0.07/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.09 % Command : run_vampire %s %d THM 0.09/0.29 % Computer : n006.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 1440 0.09/0.29 % WCLimit : 180 0.09/0.29 % DateTime : Thu Jul 4 07:46:09 EDT 2024 0.09/0.29 % CPUTime : 0.09/0.30 This is a TFF_ problem 0.09/0.30 Running first-order theorem proving 0.09/0.30 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.34 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.34 % (23546)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/15Mi) 0.15/0.34 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.34 % (23541)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/59848Mi) 0.15/0.34 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.34 % (23545)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/37Mi) 0.15/0.34 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.34 % (23542)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/34Mi) 0.15/0.34 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.34 % (23544)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi) 0.15/0.34 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.34 % (23547)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/32Mi) 0.15/0.34 % (23544)Instruction limit reached! 0.15/0.34 % (23544)------------------------------ 0.15/0.34 % (23544)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.34 % (23544)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.34 % (23544)Termination reason: Time limit 0.15/0.34 % (23544)Termination phase: Saturation 0.15/0.34 0.15/0.34 % (23544)Memory used [KB]: 952 0.15/0.34 % (23544)Time elapsed: 0.003 s 0.15/0.34 % (23544)Instructions burned: 3 (million) 0.15/0.34 % (23542)Refutation not found, incomplete strategy% (23542)------------------------------ 0.15/0.34 % (23542)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.34 % (23542)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.34 % (23542)Termination reason: Refutation not found, incomplete strategy 0.15/0.34 0.15/0.34 % (23542)Memory used [KB]: 878 0.15/0.34 % (23542)Time elapsed: 0.006 s 0.15/0.34 % (23542)Instructions burned: 11 (million) 0.15/0.34 % (23542)------------------------------ 0.15/0.34 % (23542)------------------------------ 0.15/0.34 % (23546)Instruction limit reached! 0.15/0.34 % (23546)------------------------------ 0.15/0.34 % (23546)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.34 % (23546)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.34 % (23546)Termination reason: Time limit 0.15/0.34 % (23546)Termination phase: Saturation 0.15/0.34 0.15/0.34 % (23546)Memory used [KB]: 976 0.15/0.34 % (23546)Time elapsed: 0.008 s 0.15/0.34 % (23546)Instructions burned: 15 (million) 0.15/0.35 % (23547)Instruction limit reached! 0.15/0.35 % (23547)------------------------------ 0.15/0.35 % (23547)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.35 % (23547)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.35 % (23547)Termination reason: Time limit 0.15/0.35 % (23547)Termination phase: Saturation 0.15/0.35 0.15/0.35 % (23547)Memory used [KB]: 1319 0.15/0.35 % (23547)Time elapsed: 0.013 s 0.15/0.35 % (23547)Instructions burned: 33 (million) 0.15/0.35 % (23545)Instruction limit reached! 0.15/0.35 % (23545)------------------------------ 0.15/0.35 % (23545)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.35 % (23545)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.35 % (23545)Termination reason: Time limit 0.15/0.35 % (23545)Termination phase: Saturation 0.15/0.35 0.15/0.35 % (23545)Memory used [KB]: 1444 0.15/0.35 % (23545)Time elapsed: 0.015 s 0.15/0.35 % (23545)Instructions burned: 37 (million) 0.15/0.35 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.35 % (23543)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/8Mi) 0.15/0.36 % (23543)Instruction limit reached! 0.15/0.36 % (23543)------------------------------ 0.15/0.36 % (23543)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.36 % (23543)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.36 % (23543)Termination reason: Time limit 0.15/0.36 % (23543)Termination phase: Saturation 0.15/0.36 0.15/0.36 % (23543)Memory used [KB]: 894 0.15/0.36 % (23543)Time elapsed: 0.006 s 0.15/0.36 % (23543)Instructions burned: 9 (million) 0.15/0.37 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.37 % (23548)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/36Mi) 0.15/0.37 % (23548)Refutation not found, incomplete strategy% (23548)------------------------------ 0.15/0.37 % (23548)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.37 % (23548)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.37 % (23548)Termination reason: Refutation not found, incomplete strategy 0.15/0.37 0.15/0.37 % (23548)Memory used [KB]: 875 0.15/0.37 % (23548)Time elapsed: 0.005 s 0.15/0.37 % (23548)Instructions burned: 7 (million) 0.15/0.37 % (23548)------------------------------ 0.15/0.37 % (23548)------------------------------ 0.15/0.37 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.37 % (23549)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/26Mi) 0.15/0.38 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.38 % (23550)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi) 0.15/0.38 % (23550)Instruction limit reached! 0.15/0.38 % (23550)------------------------------ 0.15/0.38 % (23550)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.38 % (23550)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.38 % (23550)Termination reason: Time limit 0.15/0.38 % (23550)Termination phase: Saturation 0.15/0.38 0.15/0.38 % (23550)Memory used [KB]: 834 0.15/0.38 % (23550)Time elapsed: 0.002 s 0.15/0.38 % (23550)Instructions burned: 3 (million) 0.15/0.38 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.38 % (23551)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/35Mi) 0.15/0.38 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.38 % (23552)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/4Mi) 0.15/0.38 % (23552)Instruction limit reached! 0.15/0.38 % (23552)------------------------------ 0.15/0.38 % (23552)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.38 % (23552)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.38 % (23552)Termination reason: Time limit 0.15/0.38 % (23552)Termination phase: Saturation 0.15/0.38 0.15/0.38 % (23552)Memory used [KB]: 837 0.15/0.38 % (23552)Time elapsed: 0.003 s 0.15/0.38 % (23552)Instructions burned: 5 (million) 0.15/0.38 % (23549)Refutation not found, non-redundant clauses discarded% (23549)------------------------------ 0.15/0.38 % (23549)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.38 % (23549)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.38 % (23549)Termination reason: Refutation not found, non-redundant clauses discarded 0.15/0.38 0.15/0.38 % (23549)Memory used [KB]: 1170 0.15/0.38 % (23549)Time elapsed: 0.010 s 0.15/0.38 % (23549)Instructions burned: 28 (million) 0.15/0.38 % (23549)------------------------------ 0.15/0.38 % (23549)------------------------------ 0.15/0.39 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.39 % (23553)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi) 0.15/0.39 % (23553)Instruction limit reached! 0.15/0.39 % (23553)------------------------------ 0.15/0.39 % (23553)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.39 % (23553)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.39 % (23553)Termination reason: Time limit 0.15/0.39 % (23553)Termination phase: Saturation 0.15/0.39 0.15/0.39 % (23553)Memory used [KB]: 829 0.15/0.39 % (23553)Time elapsed: 0.002 s 0.15/0.39 % (23553)Instructions burned: 3 (million) 0.15/0.39 % (23551)Instruction limit reached! 0.15/0.39 % (23551)------------------------------ 0.15/0.39 % (23551)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.39 % (23551)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.39 % (23551)Termination reason: Time limit 0.15/0.39 % (23551)Termination phase: Saturation 0.15/0.39 0.15/0.39 % (23551)Memory used [KB]: 1309 0.15/0.39 % (23551)Time elapsed: 0.015 s 0.15/0.39 % (23551)Instructions burned: 36 (million) 0.15/0.41 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.41 % (23554)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/21Mi) 0.15/0.41 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.41 % (23555)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/50Mi) 0.15/0.41 % (23554)Instruction limit reached! 0.15/0.41 % (23554)------------------------------ 0.15/0.41 % (23554)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.41 % (23554)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.41 % (23554)Termination reason: Time limit 0.15/0.41 % (23554)Termination phase: Saturation 0.15/0.41 0.15/0.41 % (23554)Memory used [KB]: 1097 0.15/0.41 % (23554)Time elapsed: 0.009 s 0.15/0.41 % (23554)Instructions burned: 21 (million) 0.15/0.42 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.42 % (23556)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi) 0.15/0.42 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.42 % (23557)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/2Mi) 0.15/0.42 % (23556)Instruction limit reached! 0.15/0.42 % (23556)------------------------------ 0.15/0.42 % (23556)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.42 % (23556)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.42 % (23556)Termination reason: Time limit 0.15/0.42 % (23556)Termination phase: Saturation 0.15/0.42 0.15/0.42 % (23556)Memory used [KB]: 851 0.15/0.42 % (23556)Time elapsed: 0.002 s 0.15/0.42 % (23556)Instructions burned: 3 (million) 0.15/0.42 % (23557)Instruction limit reached! 0.15/0.42 % (23557)------------------------------ 0.15/0.42 % (23557)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.42 % (23557)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.42 % (23557)Termination reason: Time limit 0.15/0.42 % (23557)Termination phase: Saturation 0.15/0.42 0.15/0.42 % (23557)Memory used [KB]: 942 0.15/0.42 % (23557)Time elapsed: 0.002 s 0.15/0.42 % (23557)Instructions burned: 3 (million) 0.15/0.42 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.42 % (23558)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/49Mi) 0.15/0.42 % (23555)Instruction limit reached! 0.15/0.42 % (23555)------------------------------ 0.15/0.42 % (23555)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.42 % (23555)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.42 % (23555)Termination reason: Time limit 0.15/0.42 % (23555)Termination phase: Saturation 0.15/0.42 0.15/0.42 % (23555)Memory used [KB]: 1683 0.15/0.42 % (23555)Time elapsed: 0.017 s 0.15/0.42 % (23555)Instructions burned: 52 (million) 0.15/0.43 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.43 % (23559)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/15Mi) 0.15/0.43 % (23559)Instruction limit reached! 0.15/0.43 % (23559)------------------------------ 0.15/0.43 % (23559)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.43 % (23559)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.43 % (23559)Termination reason: Time limit 0.15/0.43 % (23559)Termination phase: Saturation 0.15/0.43 0.15/0.43 % (23559)Memory used [KB]: 977 0.15/0.43 % (23559)Time elapsed: 0.007 s 0.15/0.43 % (23559)Instructions burned: 16 (million) 0.15/0.44 % (23558)Instruction limit reached! 0.15/0.44 % (23558)------------------------------ 0.15/0.44 % (23558)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.44 % (23558)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.44 % (23558)Termination reason: Time limit 0.15/0.44 % (23558)Termination phase: Saturation 0.15/0.44 0.15/0.44 % (23558)Memory used [KB]: 1290 0.15/0.44 % (23558)Time elapsed: 0.020 s 0.15/0.44 % (23558)Instructions burned: 51 (million) 0.15/0.45 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.45 % (23560)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/2Mi) 0.15/0.45 % (23560)Instruction limit reached! 0.15/0.45 % (23560)------------------------------ 0.15/0.45 % (23560)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.45 % (23560)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.45 % (23560)Termination reason: Time limit 0.15/0.45 % (23560)Termination phase: Saturation 0.15/0.45 0.15/0.45 % (23560)Memory used [KB]: 836 0.15/0.45 % (23560)Time elapsed: 0.002 s 0.15/0.45 % (23560)Instructions burned: 2 (million) 0.15/0.45 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.45 % (23561)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/15Mi) 0.15/0.45 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.45 % (23562)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/21Mi) 0.15/0.45 % (23561)Instruction limit reached! 0.15/0.45 % (23561)------------------------------ 0.15/0.45 % (23561)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.45 % (23561)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.45 % (23561)Termination reason: Time limit 0.15/0.45 % (23561)Termination phase: Saturation 0.15/0.45 0.15/0.45 % (23561)Memory used [KB]: 912 0.15/0.45 % (23561)Time elapsed: 0.006 s 0.15/0.45 % (23561)Instructions burned: 15 (million) 0.15/0.46 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.46 % (23563)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/46Mi) 0.15/0.46 % (23562)Instruction limit reached! 0.15/0.46 % (23562)------------------------------ 0.15/0.46 % (23562)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.46 % (23562)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.46 % (23562)Termination reason: Time limit 0.15/0.46 % (23562)Termination phase: Saturation 0.15/0.46 0.15/0.46 % (23562)Memory used [KB]: 1096 0.15/0.46 % (23562)Time elapsed: 0.009 s 0.15/0.46 % (23562)Instructions burned: 21 (million) 0.15/0.46 % (23563)Refutation not found, incomplete strategy% (23563)------------------------------ 0.15/0.46 % (23563)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.46 % (23563)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.46 % (23563)Termination reason: Refutation not found, incomplete strategy 0.15/0.46 0.15/0.46 % (23563)Memory used [KB]: 872 0.15/0.46 % (23563)Time elapsed: 0.005 s 0.15/0.46 % (23563)Instructions burned: 12 (million) 0.15/0.46 % (23563)------------------------------ 0.15/0.46 % (23563)------------------------------ 0.15/0.46 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.46 % (23564)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/50Mi) 0.15/0.47 % (23564)Refutation not found, incomplete strategy% (23564)------------------------------ 0.15/0.47 % (23564)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.47 % (23564)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.47 % (23564)Termination reason: Refutation not found, incomplete strategy 0.15/0.47 0.15/0.47 % (23564)Memory used [KB]: 841 0.15/0.47 % (23564)Time elapsed: 0.003 s 0.15/0.47 % (23564)Instructions burned: 5 (million) 0.15/0.47 % (23564)------------------------------ 0.15/0.47 % (23564)------------------------------ 0.15/0.47 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.47 % (23565)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/47Mi) 0.15/0.48 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.48 % (23566)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/42Mi) 0.15/0.48 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.48 % (23567)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/43Mi) 0.15/0.49 % (23565)Instruction limit reached! 0.15/0.49 % (23565)------------------------------ 0.15/0.49 % (23565)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.49 % (23565)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.49 % (23565)Termination reason: Time limit 0.15/0.49 % (23565)Termination phase: Saturation 0.15/0.49 0.15/0.49 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.49 % (23568)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/21Mi) 0.15/0.49 % (23565)Memory used [KB]: 1251 0.15/0.49 % (23565)Time elapsed: 0.018 s 0.15/0.49 % (23565)Instructions burned: 49 (million) 0.15/0.49 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.49 % (23569)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/21Mi) 0.15/0.49 % (23566)Instruction limit reached! 0.15/0.49 % (23566)------------------------------ 0.15/0.49 % (23566)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.49 % (23566)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.49 % (23566)Termination reason: Time limit 0.15/0.49 % (23566)Termination phase: Saturation 0.15/0.49 0.15/0.49 % (23566)Memory used [KB]: 1382 0.15/0.49 % (23566)Time elapsed: 0.015 s 0.15/0.49 % (23566)Instructions burned: 44 (million) 0.15/0.50 % (23568)Instruction limit reached! 0.15/0.50 % (23568)------------------------------ 0.15/0.50 % (23568)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.50 % (23568)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.50 % (23568)Termination reason: Time limit 0.15/0.50 % (23568)Termination phase: Saturation 0.15/0.50 0.15/0.50 % (23568)Memory used [KB]: 1097 0.15/0.50 % (23568)Time elapsed: 0.009 s 0.15/0.50 % (23568)Instructions burned: 21 (million) 0.15/0.50 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.50 % (23570)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/41Mi) 0.15/0.50 % (23567)Instruction limit reached! 0.15/0.50 % (23567)------------------------------ 0.15/0.50 % (23567)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.50 % (23567)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.50 % (23567)Termination reason: Time limit 0.15/0.50 % (23567)Termination phase: Saturation 0.15/0.50 0.15/0.50 % (23567)Memory used [KB]: 1449 0.15/0.50 % (23567)Time elapsed: 0.015 s 0.15/0.50 % (23567)Instructions burned: 45 (million) 0.15/0.50 % (23569)Instruction limit reached! 0.15/0.50 % (23569)------------------------------ 0.15/0.50 % (23569)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.50 % (23569)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.50 % (23569)Termination reason: Time limit 0.15/0.50 % (23569)Termination phase: Saturation 0.15/0.50 0.15/0.50 % (23569)Memory used [KB]: 945 0.15/0.50 % (23569)Time elapsed: 0.009 s 0.15/0.50 % (23569)Instructions burned: 21 (million) 0.15/0.52 % (23570)Instruction limit reached! 0.15/0.52 % (23570)------------------------------ 0.15/0.52 % (23570)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.15/0.52 % (23570)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.15/0.52 % (23570)Termination reason: Time limit 0.15/0.52 % (23570)Termination phase: Saturation 0.15/0.52 0.15/0.52 % (23570)Memory used [KB]: 1361 0.15/0.52 % (23570)Time elapsed: 0.018 s 0.15/0.52 % (23570)Instructions burned: 42 (million) 0.15/0.52 % (23540)Running in auto input_syntax mode. Trying TPTP 0.15/0.52 % (23571)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/15Mi) 1.62/0.52 % (23540)Running in auto input_syntax mode. Trying TPTP 1.62/0.52 % (23572)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/47Mi) 1.62/0.53 % (23571)Instruction limit reached! 1.62/0.53 % (23571)------------------------------ 1.62/0.53 % (23571)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.62/0.53 % (23571)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.62/0.53 % (23571)Termination reason: Time limit 1.62/0.53 % (23571)Termination phase: Saturation 1.62/0.53 1.62/0.53 % (23571)Memory used [KB]: 969 1.62/0.53 % (23571)Time elapsed: 0.007 s 1.62/0.53 % (23571)Instructions burned: 15 (million) 1.62/0.53 % (23572)Refutation not found, incomplete strategy% (23572)------------------------------ 1.62/0.53 % (23572)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.62/0.53 % (23572)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.62/0.53 % (23572)Termination reason: Refutation not found, incomplete strategy 1.62/0.53 1.62/0.53 % (23572)Memory used [KB]: 848 1.62/0.53 % (23572)Time elapsed: 0.003 s 1.62/0.53 % (23572)Instructions burned: 6 (million) 1.62/0.53 % (23572)------------------------------ 1.62/0.53 % (23572)------------------------------ 1.62/0.53 % (23540)Running in auto input_syntax mode. Trying TPTP 1.62/0.53 % (23573)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/25Mi) 1.62/0.53 % (23540)Running in auto input_syntax mode. Trying TPTP 1.62/0.53 % (23574)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/148Mi) 1.62/0.53 % (23540)Running in auto input_syntax mode. Trying TPTP 1.62/0.53 % (23575)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/100Mi) 1.62/0.53 % (23574)Refutation not found, incomplete strategy% (23574)------------------------------ 1.62/0.53 % (23574)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.62/0.53 % (23574)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.62/0.53 % (23574)Termination reason: Refutation not found, incomplete strategy 1.62/0.53 1.62/0.53 % (23574)Memory used [KB]: 878 1.62/0.53 % (23574)Time elapsed: 0.005 s 1.62/0.53 % (23574)Instructions burned: 11 (million) 1.62/0.53 % (23574)------------------------------ 1.62/0.53 % (23574)------------------------------ 1.62/0.54 % (23573)Instruction limit reached! 1.62/0.54 % (23573)------------------------------ 1.62/0.54 % (23573)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.62/0.54 % (23573)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.62/0.54 % (23573)Termination reason: Time limit 1.62/0.54 % (23573)Termination phase: Saturation 1.62/0.54 1.62/0.54 % (23573)Memory used [KB]: 1148 1.62/0.54 % (23573)Time elapsed: 0.011 s 1.62/0.54 % (23573)Instructions burned: 25 (million) 1.71/0.56 % (23540)Running in auto input_syntax mode. Trying TPTP 1.71/0.56 % (23577)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/58Mi) 1.71/0.56 % (23540)Running in auto input_syntax mode. Trying TPTP 1.71/0.56 % (23578)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/96Mi) 1.71/0.56 % (23575)Instruction limit reached! 1.71/0.56 % (23575)------------------------------ 1.71/0.56 % (23575)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.71/0.56 % (23575)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.71/0.56 % (23575)Termination reason: Time limit 1.71/0.56 % (23575)Termination phase: Saturation 1.71/0.56 1.71/0.56 % (23575)Memory used [KB]: 2643 1.71/0.56 % (23575)Time elapsed: 0.034 s 1.71/0.56 % (23575)Instructions burned: 103 (million) 1.71/0.57 % (23540)Running in auto input_syntax mode. Trying TPTP 1.71/0.57 % (23579)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/108Mi) 1.71/0.57 % (23540)Running in auto input_syntax mode. Trying TPTP 1.71/0.57 % (23580)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/463Mi) 1.71/0.57 % (23577)Instruction limit reached! 1.71/0.57 % (23577)------------------------------ 1.71/0.57 % (23577)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.71/0.57 % (23577)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.71/0.57 % (23577)Termination reason: Time limit 1.71/0.57 % (23577)Termination phase: Saturation 1.71/0.57 1.71/0.57 % (23577)Memory used [KB]: 1772 1.71/0.57 % (23577)Time elapsed: 0.041 s 1.71/0.57 % (23577)Instructions burned: 58 (million) 1.71/0.58 % (23540)Running in auto input_syntax mode. Trying TPTP 1.71/0.58 % (23576)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/76Mi) 1.71/0.59 % (23578)Instruction limit reached! 1.71/0.59 % (23578)------------------------------ 1.71/0.59 % (23578)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.71/0.59 % (23578)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.71/0.59 % (23578)Termination reason: Time limit 1.71/0.59 % (23578)Termination phase: Saturation 1.71/0.59 1.71/0.59 % (23578)Memory used [KB]: 1238 1.71/0.59 % (23578)Time elapsed: 0.060 s 1.71/0.59 % (23578)Instructions burned: 96 (million) 1.71/0.60 % (23540)Running in auto input_syntax mode. Trying TPTP 1.71/0.60 % (23581)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/494Mi) 1.71/0.60 % (23579)Instruction limit reached! 1.71/0.60 % (23579)------------------------------ 1.71/0.60 % (23579)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.71/0.60 % (23579)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.71/0.60 % (23579)Termination reason: Time limit 1.71/0.60 % (23579)Termination phase: Saturation 1.71/0.60 1.71/0.60 % (23579)Memory used [KB]: 915 1.71/0.60 % (23579)Time elapsed: 0.036 s 1.71/0.60 % (23579)Instructions burned: 108 (million) 1.71/0.61 % (23540)Running in auto input_syntax mode. Trying TPTP 1.71/0.61 % (23582)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/223Mi) 1.71/0.61 % (23576)Instruction limit reached! 1.71/0.61 % (23576)------------------------------ 1.71/0.61 % (23576)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.71/0.61 % (23576)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.71/0.61 % (23576)Termination reason: Time limit 1.71/0.61 % (23576)Termination phase: Saturation 1.71/0.61 1.71/0.61 % (23576)Memory used [KB]: 2062 1.71/0.61 % (23576)Time elapsed: 0.057 s 1.71/0.61 % (23576)Instructions burned: 77 (million) 2.10/0.63 % (23540)Running in auto input_syntax mode. Trying TPTP 2.10/0.63 % (23583)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/343Mi) 2.10/0.64 % (23540)Running in auto input_syntax mode. Trying TPTP 2.10/0.64 % (23584)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/488Mi) 2.10/0.64 % (23584)Refutation not found, incomplete strategy% (23584)------------------------------ 2.10/0.64 % (23584)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.10/0.64 % (23584)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.10/0.64 % (23584)Termination reason: Refutation not found, incomplete strategy 2.10/0.64 2.10/0.64 % (23584)Memory used [KB]: 845 2.10/0.64 % (23584)Time elapsed: 0.029 s 2.10/0.64 % (23584)Instructions burned: 6 (million) 2.10/0.64 % (23584)------------------------------ 2.10/0.64 % (23584)------------------------------ 2.10/0.64 % (23540)Running in auto input_syntax mode. Trying TPTP 2.10/0.64 % (23585)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/150Mi) 2.10/0.67 % (23540)Running in auto input_syntax mode. Trying TPTP 2.10/0.67 % (23586)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/160Mi) 2.19/0.68 % (23582)Instruction limit reached! 2.19/0.68 % (23582)------------------------------ 2.19/0.68 % (23582)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.19/0.68 % (23582)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.19/0.68 % (23582)Termination reason: Time limit 2.19/0.68 % (23582)Termination phase: Saturation 2.19/0.68 2.19/0.68 % (23582)Memory used [KB]: 1259 2.19/0.68 % (23582)Time elapsed: 0.097 s 2.19/0.68 % (23582)Instructions burned: 224 (million) 2.19/0.70 % (23580)Instruction limit reached! 2.19/0.70 % (23580)------------------------------ 2.19/0.70 % (23580)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.19/0.70 % (23580)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.19/0.70 % (23580)Termination reason: Time limit 2.19/0.70 % (23580)Termination phase: Saturation 2.19/0.70 2.19/0.70 % (23580)Memory used [KB]: 5154 2.19/0.70 % (23580)Time elapsed: 0.159 s 2.19/0.70 % (23580)Instructions burned: 463 (million) 2.19/0.71 % (23585)Instruction limit reached! 2.19/0.71 % (23585)------------------------------ 2.19/0.71 % (23585)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.19/0.71 % (23585)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.19/0.71 % (23585)Termination reason: Time limit 2.19/0.71 % (23585)Termination phase: Saturation 2.19/0.71 2.19/0.71 % (23585)Memory used [KB]: 1011 2.19/0.71 % (23585)Time elapsed: 0.070 s 2.19/0.71 % (23585)Instructions burned: 150 (million) 2.19/0.71 % (23540)Running in auto input_syntax mode. Trying TPTP 2.19/0.71 % (23587)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/370Mi) 2.19/0.72 % (23586)Instruction limit reached! 2.19/0.72 % (23586)------------------------------ 2.19/0.72 % (23586)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.19/0.72 % (23586)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.19/0.72 % (23586)Termination reason: Time limit 2.19/0.72 % (23586)Termination phase: Saturation 2.19/0.72 2.19/0.72 % (23586)Memory used [KB]: 1169 2.19/0.72 % (23586)Time elapsed: 0.050 s 2.19/0.72 % (23586)Instructions burned: 162 (million) 2.19/0.72 % (23583)Refutation not found, non-redundant clauses discarded% (23583)------------------------------ 2.19/0.72 % (23583)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.19/0.72 % (23583)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.19/0.72 % (23583)Termination reason: Refutation not found, non-redundant clauses discarded 2.19/0.72 2.19/0.72 % (23583)Memory used [KB]: 2415 2.19/0.72 % (23583)Time elapsed: 0.121 s 2.19/0.72 % (23583)Instructions burned: 337 (million) 2.19/0.72 % (23583)------------------------------ 2.19/0.72 % (23583)------------------------------ 2.19/0.73 % (23581)Instruction limit reached! 2.19/0.73 % (23581)------------------------------ 2.19/0.73 % (23581)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.19/0.73 % (23581)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.19/0.73 % (23581)Termination reason: Time limit 2.19/0.73 % (23581)Termination phase: Saturation 2.19/0.73 2.19/0.73 % (23581)Memory used [KB]: 3837 2.19/0.73 % (23581)Time elapsed: 0.155 s 2.19/0.73 % (23581)Instructions burned: 494 (million) 2.19/0.74 % (23540)Running in auto input_syntax mode. Trying TPTP 2.19/0.74 % (23588)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/493Mi) 3.03/0.76 % (23540)Running in auto input_syntax mode. Trying TPTP 3.03/0.76 % (23590)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/146Mi) 3.03/0.76 % (23540)Running in auto input_syntax mode. Trying TPTP 3.03/0.76 % (23591)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/211Mi) 3.03/0.76 % (23540)Running in auto input_syntax mode. Trying TPTP 3.03/0.76 % (23592)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/274Mi) 3.04/0.77 % (23540)Running in auto input_syntax mode. Trying TPTP 3.04/0.77 % (23589)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/81Mi) 3.04/0.78 % (23589)Refutation not found, incomplete strategy% (23589)------------------------------ 3.04/0.78 % (23589)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.04/0.78 % (23589)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.04/0.78 % (23589)Termination reason: Refutation not found, incomplete strategy 3.04/0.78 3.04/0.78 % (23589)Memory used [KB]: 894 3.04/0.78 % (23589)Time elapsed: 0.007 s 3.04/0.78 % (23589)Instructions burned: 10 (million) 3.04/0.78 % (23589)------------------------------ 3.04/0.78 % (23589)------------------------------ 3.04/0.80 % (23590)Instruction limit reached! 3.04/0.80 % (23590)------------------------------ 3.04/0.80 % (23590)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.04/0.80 % (23590)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.04/0.80 % (23590)Termination reason: Time limit 3.04/0.80 % (23590)Termination phase: Saturation 3.04/0.80 3.04/0.80 % (23590)Memory used [KB]: 970 3.04/0.80 % (23590)Time elapsed: 0.046 s 3.04/0.80 % (23590)Instructions burned: 147 (million) 3.24/0.82 % (23591)Instruction limit reached! 3.24/0.82 % (23591)------------------------------ 3.24/0.82 % (23591)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.24/0.82 % (23591)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.24/0.82 % (23591)Termination reason: Time limit 3.24/0.82 % (23591)Termination phase: Saturation 3.24/0.82 3.24/0.82 % (23591)Memory used [KB]: 4026 3.24/0.82 % (23591)Time elapsed: 0.067 s 3.24/0.82 % (23591)Instructions burned: 213 (million) 3.24/0.83 % (23587)Instruction limit reached! 3.24/0.83 % (23587)------------------------------ 3.24/0.83 % (23587)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.24/0.83 % (23587)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.24/0.83 % (23587)Termination reason: Time limit 3.24/0.83 % (23587)Termination phase: Saturation 3.24/0.83 3.24/0.83 % (23587)Memory used [KB]: 1960 3.24/0.83 % (23587)Time elapsed: 0.117 s 3.24/0.83 % (23587)Instructions burned: 370 (million) 3.24/0.83 % (23592)Instruction limit reached! 3.24/0.83 % (23592)------------------------------ 3.24/0.83 % (23592)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.24/0.83 % (23592)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.24/0.83 % (23592)Termination reason: Time limit 3.24/0.83 % (23592)Termination phase: Saturation 3.24/0.83 3.24/0.83 % (23592)Memory used [KB]: 1934 3.24/0.83 % (23592)Time elapsed: 0.071 s 3.24/0.83 % (23592)Instructions burned: 276 (million) 3.24/0.83 % (23540)Running in auto input_syntax mode. Trying TPTP 3.24/0.83 % (23594)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/294Mi) 3.24/0.83 % (23540)Running in auto input_syntax mode. Trying TPTP 3.24/0.83 % (23593)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/330Mi) 3.62/0.86 % (23540)Running in auto input_syntax mode. Trying TPTP 3.62/0.86 % (23595)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (1794ds/213Mi) 3.62/0.86 % (23540)Running in auto input_syntax mode. Trying TPTP 3.62/0.86 % Exception at run slice level 3.62/0.86 User error: bad test id ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 3.62/0.86 % (23540)Running in auto input_syntax mode. Trying TPTP 3.62/0.86 % (23596)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (1794ds/374Mi) 3.62/0.90 % (23540)Running in auto input_syntax mode. Trying TPTP 3.62/0.90 % (23598)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (1794ds/488Mi) 3.62/0.90 % (23588)Instruction limit reached! 3.62/0.90 % (23588)------------------------------ 3.62/0.90 % (23588)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.62/0.90 % (23588)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.62/0.90 % (23588)Termination reason: Time limit 3.62/0.90 % (23588)Termination phase: Saturation 3.62/0.90 3.62/0.90 % (23588)Memory used [KB]: 2826 3.62/0.90 % (23588)Time elapsed: 0.164 s 3.62/0.90 % (23588)Instructions burned: 494 (million) 3.62/0.90 % (23598)Refutation not found, incomplete strategy% (23598)------------------------------ 3.62/0.90 % (23598)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.62/0.90 % (23598)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.62/0.90 % (23598)Termination reason: Refutation not found, incomplete strategy 3.62/0.90 3.62/0.90 % (23598)Memory used [KB]: 845 3.62/0.90 % (23598)Time elapsed: 0.004 s 3.62/0.90 % (23598)Instructions burned: 6 (million) 3.62/0.90 % (23598)------------------------------ 3.62/0.90 % (23598)------------------------------ 3.62/0.92 % (23595)Instruction limit reached! 3.62/0.92 % (23595)------------------------------ 3.62/0.92 % (23595)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.62/0.92 % (23595)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.62/0.92 % (23595)Termination reason: Time limit 3.62/0.92 % (23595)Termination phase: Saturation 3.62/0.92 3.62/0.92 % (23595)Memory used [KB]: 1616 3.62/0.92 % (23595)Time elapsed: 0.068 s 3.62/0.92 % (23595)Instructions burned: 215 (million) 3.96/0.93 % (23594)Refutation not found, non-redundant clauses discarded% (23594)------------------------------ 3.96/0.93 % (23594)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.96/0.93 % (23594)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.96/0.93 % (23594)Termination reason: Refutation not found, non-redundant clauses discarded 3.96/0.93 3.96/0.93 % (23594)Memory used [KB]: 1333 3.96/0.93 % (23594)Time elapsed: 0.093 s 3.96/0.93 % (23594)Instructions burned: 277 (million) 3.96/0.93 % (23594)------------------------------ 3.96/0.93 % (23594)------------------------------ 3.96/0.93 % (23540)Running in auto input_syntax mode. Trying TPTP 3.96/0.93 % (23599)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (1794ds/230Mi) 3.96/0.93 % (23540)Running in auto input_syntax mode. Trying TPTP 3.96/0.93 % (23600)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (1794ds/360Mi) 3.96/0.96 % (23540)Running in auto input_syntax mode. Trying TPTP 3.96/0.96 % (23601)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (1793ds/382Mi) 3.96/0.96 % (23540)Running in auto input_syntax mode. Trying TPTP 3.96/0.96 % (23602)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (1793ds/256Mi) 3.96/0.97 % (23593)Instruction limit reached! 3.96/0.97 % (23593)------------------------------ 3.96/0.97 % (23593)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.96/0.97 % (23593)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.96/0.97 % (23593)Termination reason: Time limit 3.96/0.97 % (23593)Termination phase: Saturation 3.96/0.97 3.96/0.97 % (23593)Memory used [KB]: 1424 3.96/0.97 % (23593)Time elapsed: 0.134 s 3.96/0.97 % (23593)Instructions burned: 331 (million) 4.43/0.98 % (23596)Instruction limit reached! 4.43/0.98 % (23596)------------------------------ 4.43/0.98 % (23596)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.43/0.98 % (23596)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.43/0.98 % (23596)Termination reason: Time limit 4.43/0.98 % (23596)Termination phase: Saturation 4.43/0.98 4.43/0.98 % (23596)Memory used [KB]: 2255 4.43/0.98 % (23596)Time elapsed: 0.119 s 4.43/0.98 % (23596)Instructions burned: 375 (million) 4.43/1.01 % (23599)Instruction limit reached! 4.43/1.01 % (23599)------------------------------ 4.43/1.01 % (23599)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.43/1.01 % (23599)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.43/1.01 % (23599)Termination reason: Time limit 4.43/1.01 % (23599)Termination phase: Saturation 4.43/1.01 4.43/1.01 % (23599)Memory used [KB]: 1331 4.43/1.01 % (23599)Time elapsed: 0.075 s 4.43/1.01 % (23599)Instructions burned: 231 (million) 4.43/1.02 % (23540)Running in auto input_syntax mode. Trying TPTP 4.43/1.02 % (23604)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (1793ds/3721Mi) 4.43/1.02 % (23540)Running in auto input_syntax mode. Trying TPTP 4.43/1.02 % (23603)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (1793ds/1006Mi) 4.43/1.03 % (23603)Refutation not found, incomplete strategy% (23603)------------------------------ 4.43/1.03 % (23603)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.43/1.03 % (23603)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.43/1.03 % (23603)Termination reason: Refutation not found, incomplete strategy 4.43/1.03 4.43/1.03 % (23603)Memory used [KB]: 885 4.43/1.03 % (23603)Time elapsed: 0.008 s 4.43/1.03 % (23603)Instructions burned: 12 (million) 4.43/1.03 % (23603)------------------------------ 4.43/1.03 % (23603)------------------------------ 4.43/1.04 % (23540)Running in auto input_syntax mode. Trying TPTP 4.43/1.04 % (23605)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (1793ds/501Mi) 4.43/1.04 % (23602)Instruction limit reached! 4.43/1.04 % (23602)------------------------------ 4.43/1.04 % (23602)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.43/1.04 % (23602)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.43/1.04 % (23602)Termination reason: Time limit 4.43/1.04 % (23602)Termination phase: Saturation 4.43/1.04 4.43/1.04 % (23602)Memory used [KB]: 2322 4.43/1.04 % (23602)Time elapsed: 0.085 s 4.43/1.04 % (23602)Instructions burned: 257 (million) 4.95/1.05 % (23600)Instruction limit reached! 4.95/1.05 % (23600)------------------------------ 4.95/1.05 % (23600)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.95/1.05 % (23600)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.95/1.05 % (23600)Termination reason: Time limit 4.95/1.05 % (23600)Termination phase: Saturation 4.95/1.05 4.95/1.05 % (23600)Memory used [KB]: 2293 4.95/1.05 % (23600)Time elapsed: 0.119 s 4.95/1.05 % (23600)Instructions burned: 360 (million) 4.95/1.06 % (23601)Instruction limit reached! 4.95/1.06 % (23601)------------------------------ 4.95/1.06 % (23601)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.95/1.06 % (23601)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.95/1.06 % (23601)Termination reason: Time limit 4.95/1.06 % (23601)Termination phase: Saturation 4.95/1.06 4.95/1.06 % (23601)Memory used [KB]: 2359 4.95/1.06 % (23601)Time elapsed: 0.109 s 4.95/1.06 % (23601)Instructions burned: 384 (million) 4.95/1.07 % (23540)Running in auto input_syntax mode. Trying TPTP 4.95/1.07 % (23607)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (1792ds/2416Mi) 4.95/1.08 % (23540)Running in auto input_syntax mode. Trying TPTP 4.95/1.08 % (23608)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (1792ds/1683Mi) 5.56/1.09 % (23540)Running in auto input_syntax mode. Trying TPTP 5.56/1.09 % (23606)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (1792ds/1705Mi) 5.56/1.10 % (23540)Running in auto input_syntax mode. Trying TPTP 5.56/1.10 % (23609)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (1792ds/330Mi) 6.07/1.18 % (23609)Instruction limit reached! 6.07/1.18 % (23609)------------------------------ 6.07/1.18 % (23609)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.07/1.18 % (23609)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.07/1.18 % (23609)Termination reason: Time limit 6.07/1.18 % (23609)Termination phase: Saturation 6.07/1.18 6.07/1.18 % (23609)Memory used [KB]: 2510 6.07/1.18 % (23609)Time elapsed: 0.090 s 6.07/1.18 % (23609)Instructions burned: 330 (million) 6.07/1.20 % (23605)Instruction limit reached! 6.07/1.20 % (23605)------------------------------ 6.07/1.20 % (23605)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.07/1.20 % (23605)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.07/1.20 % (23605)Termination reason: Time limit 6.07/1.20 % (23605)Termination phase: Saturation 6.07/1.20 6.07/1.20 % (23605)Memory used [KB]: 3411 6.07/1.20 % (23605)Time elapsed: 0.165 s 6.07/1.20 % (23605)Instructions burned: 502 (million) 6.07/1.22 % (23540)Running in auto input_syntax mode. Trying TPTP 6.07/1.22 % (23610)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (1791ds/113Mi) 6.48/1.24 % (23540)Running in auto input_syntax mode. Trying TPTP 6.48/1.24 % (23611)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (1791ds/3217Mi) 6.48/1.25 % (23610)Instruction limit reached! 6.48/1.25 % (23610)------------------------------ 6.48/1.25 % (23610)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.48/1.25 % (23610)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.48/1.25 % (23610)Termination reason: Time limit 6.48/1.25 % (23610)Termination phase: Saturation 6.48/1.25 6.48/1.25 % (23610)Memory used [KB]: 861 6.48/1.25 % (23610)Time elapsed: 0.036 s 6.48/1.25 % (23610)Instructions burned: 115 (million) 6.73/1.29 % (23540)Running in auto input_syntax mode. Trying TPTP 6.73/1.29 % (23612)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (1790ds/3528Mi) 7.71/1.49 % (23606)Instruction limit reached! 7.71/1.49 % (23606)------------------------------ 7.71/1.49 % (23606)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 7.71/1.49 % (23606)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 7.71/1.49 % (23606)Termination reason: Time limit 7.71/1.49 % (23606)Termination phase: Saturation 7.71/1.49 7.71/1.49 % (23606)Memory used [KB]: 2323 7.71/1.49 % (23606)Time elapsed: 0.407 s 7.71/1.49 % (23606)Instructions burned: 1707 (million) 8.03/1.53 % (23540)Running in auto input_syntax mode. Trying TPTP 8.03/1.53 % (23613)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (1788ds/2304Mi) 8.18/1.64 % (23608)Instruction limit reached! 8.18/1.64 % (23608)------------------------------ 8.18/1.64 % (23608)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 8.18/1.64 % (23608)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 8.18/1.64 % (23608)Termination reason: Time limit 8.18/1.64 % (23608)Termination phase: Saturation 8.18/1.64 8.18/1.64 % (23608)Memory used [KB]: 10601 8.18/1.64 % (23608)Time elapsed: 0.554 s 8.18/1.64 % (23608)Instructions burned: 1684 (million) 9.51/1.67 % (23540)Running in auto input_syntax mode. Trying TPTP 9.51/1.67 % (23614)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (1786ds/3780Mi) 10.46/1.82 % (23607)Instruction limit reached! 10.46/1.82 % (23607)------------------------------ 10.46/1.82 % (23607)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 10.46/1.82 % (23607)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 10.46/1.82 % (23607)Termination reason: Time limit 10.46/1.82 % (23607)Termination phase: Saturation 10.46/1.82 10.46/1.82 % (23607)Memory used [KB]: 10435 10.46/1.82 % (23607)Time elapsed: 0.743 s 10.46/1.82 % (23607)Instructions burned: 2416 (million) 10.67/1.85 % (23540)Running in auto input_syntax mode. Trying TPTP 10.67/1.85 % (23615)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (1784ds/238Mi) 10.67/1.93 % (23615)Refutation not found, non-redundant clauses discarded% (23615)------------------------------ 10.67/1.93 % (23615)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 10.67/1.93 % (23615)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 10.67/1.93 % (23615)Termination reason: Refutation not found, non-redundant clauses discarded 10.67/1.93 10.67/1.93 % (23615)Memory used [KB]: 1155 10.67/1.93 % (23615)Time elapsed: 0.076 s 10.67/1.93 % (23615)Instructions burned: 241 (million) 10.67/1.93 % (23615)------------------------------ 10.67/1.93 % (23615)------------------------------ 11.22/1.96 % (23540)Running in auto input_syntax mode. Trying TPTP 11.22/1.96 % (23616)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (1783ds/656Mi) 11.85/2.11 % (23604)Instruction limit reached! 11.85/2.11 % (23604)------------------------------ 11.85/2.11 % (23604)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 11.85/2.11 % (23604)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 11.85/2.11 % (23604)Termination reason: Time limit 11.85/2.11 % (23604)Termination phase: Saturation 11.85/2.11 11.85/2.11 % (23604)Memory used [KB]: 19599 11.85/2.11 % (23604)Time elapsed: 1.093 s 11.85/2.11 % (23604)Instructions burned: 3721 (million) 12.09/2.14 % (23540)Running in auto input_syntax mode. Trying TPTP 12.09/2.14 % (23660)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (1782ds/485Mi) 12.09/2.16 % (23616)Instruction limit reached! 12.09/2.16 % (23616)------------------------------ 12.09/2.16 % (23616)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 12.09/2.16 % (23616)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 12.09/2.16 % (23616)Termination reason: Time limit 12.09/2.16 % (23616)Termination phase: Saturation 12.09/2.16 12.09/2.16 % (23616)Memory used [KB]: 4000 12.09/2.16 % (23616)Time elapsed: 0.198 s 12.09/2.16 % (23616)Instructions burned: 659 (million) 13.09/2.19 % (23540)Running in auto input_syntax mode. Trying TPTP 13.09/2.19 % (23678)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (1781ds/1302Mi) 13.09/2.21 % (23611)Instruction limit reached! 13.09/2.21 % (23611)------------------------------ 13.09/2.21 % (23611)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 13.09/2.21 % (23611)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 13.09/2.21 % (23611)Termination reason: Time limit 13.09/2.21 % (23611)Termination phase: Saturation 13.09/2.21 13.09/2.21 % (23611)Memory used [KB]: 15503 13.09/2.21 % (23611)Time elapsed: 0.968 s 13.09/2.21 % (23611)Instructions burned: 3219 (million) 13.09/2.22 % (23613)Instruction limit reached! 13.09/2.22 % (23613)------------------------------ 13.09/2.22 % (23613)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 13.09/2.22 % (23613)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 13.09/2.22 % (23613)Termination reason: Time limit 13.09/2.22 % (23613)Termination phase: Saturation 13.09/2.22 13.09/2.22 % (23613)Memory used [KB]: 6406 13.09/2.22 % (23613)Time elapsed: 0.695 s 13.09/2.22 % (23613)Instructions burned: 2304 (million) 13.09/2.24 % (23540)Running in auto input_syntax mode. Trying TPTP 13.09/2.24 % (23714)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (1781ds/980Mi) 13.60/2.26 % (23540)Running in auto input_syntax mode. Trying TPTP 13.60/2.26 % Exception at run slice level 13.60/2.26 User error: bad test id ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0 13.60/2.27 % (23612)Instruction limit reached! 13.60/2.27 % (23612)------------------------------ 13.60/2.27 % (23612)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 13.60/2.27 % (23612)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 13.60/2.27 % (23612)Termination reason: Time limit 13.60/2.27 % (23612)Termination phase: Saturation 13.60/2.27 13.60/2.27 % (23612)Memory used [KB]: 5534 13.60/2.27 % (23612)Time elapsed: 0.980 s 13.60/2.27 % (23612)Instructions burned: 3529 (million) 13.60/2.29 % (23540)Running in auto input_syntax mode. Trying TPTP 13.60/2.29 % (23743)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (1780ds/638Mi) 13.60/2.29 % (23743)Refutation not found, incomplete strategy% (23743)------------------------------ 13.60/2.29 % (23743)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 13.60/2.29 % (23743)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 13.60/2.29 % (23743)Termination reason: Refutation not found, incomplete strategy 13.60/2.29 13.60/2.29 % (23743)Memory used [KB]: 845 13.60/2.29 % (23743)Time elapsed: 0.004 s 13.60/2.29 % (23743)Instructions burned: 6 (million) 13.60/2.29 % (23743)------------------------------ 13.60/2.29 % (23743)------------------------------ 13.60/2.30 % (23540)Running in auto input_syntax mode. Trying TPTP 13.60/2.30 % (23750)WARNING: option skr not known. 13.60/2.30 % (23750)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (1780ds/947Mi) 13.84/2.30 % (23660)Instruction limit reached! 13.84/2.30 % (23660)------------------------------ 13.84/2.30 % (23660)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 13.84/2.30 % (23660)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 13.84/2.30 % (23660)Termination reason: Time limit 13.84/2.30 % (23660)Termination phase: Saturation 13.84/2.30 13.84/2.30 % (23660)Memory used [KB]: 3417 13.84/2.30 % (23660)Time elapsed: 0.161 s 13.84/2.30 % (23660)Instructions burned: 486 (million) 13.84/2.32 % (23540)Running in auto input_syntax mode. Trying TPTP 13.84/2.32 % (23764)lrs+10_1:1024_drc=off:fde=none:gve=force:nm=4:norm_ineq=on:sas=z3:sos=all:sp=const_min:spb=non_intro:to=lpo:uwa=one_side_constant:i=691:si=on:rawr=on:rtra=on_0 on theBenchmark for (1780ds/691Mi) 13.84/2.34 % (23540)Running in auto input_syntax mode. Trying TPTP 13.84/2.34 % (23772)lrs+10_1:128_asg=cautious:drc=off:fde=none:gve=force:norm_ineq=on:sas=z3:sos=all:sp=reverse_arity:spb=intro:ss=axioms:to=lpo:uwa=one_side_constant:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (1779ds/370Mi) 13.97/2.41 % (23772)Refutation not found, non-redundant clauses discarded% (23772)------------------------------ 13.97/2.41 % (23772)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 13.97/2.41 % (23772)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 13.97/2.41 % (23772)Termination reason: Refutation not found, non-redundant clauses discarded 13.97/2.41 13.97/2.41 % (23772)Memory used [KB]: 1858 13.97/2.41 % (23772)Time elapsed: 0.073 s 13.97/2.41 % (23772)Instructions burned: 234 (million) 13.97/2.41 % (23772)------------------------------ 13.97/2.41 % (23772)------------------------------ 14.25/2.45 % (23540)Running in auto input_syntax mode. Trying TPTP 14.25/2.45 % (23788)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=361:si=on:rawr=on:rtra=on_0 on theBenchmark for (1778ds/361Mi) 14.25/2.48 % (23764)Refutation not found, non-redundant clauses discarded% (23764)------------------------------ 14.25/2.48 % (23764)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 14.25/2.48 % (23764)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 14.25/2.48 % (23764)Termination reason: Refutation not found, non-redundant clauses discarded 14.25/2.48 14.25/2.48 % (23764)Memory used [KB]: 4795 14.25/2.48 % (23764)Time elapsed: 0.157 s 14.25/2.48 % (23764)Instructions burned: 487 (million) 14.25/2.48 % (23764)------------------------------ 14.25/2.48 % (23764)------------------------------ 14.25/2.48 % (23714)Instruction limit reached! 14.25/2.48 % (23714)------------------------------ 14.25/2.48 % (23714)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 14.25/2.48 % (23714)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 14.25/2.48 % (23714)Termination reason: Time limit 14.25/2.48 % (23714)Termination phase: Saturation 14.25/2.48 14.25/2.48 % (23714)Memory used [KB]: 6170 14.25/2.48 % (23714)Time elapsed: 0.244 s 14.25/2.48 % (23714)Instructions burned: 983 (million) 14.82/2.52 % (23540)Running in auto input_syntax mode. Trying TPTP 14.82/2.52 % (23809)lrs+1011_1:1_bce=on:drc=off:erd=off:gve=force:ins=2:norm_ineq=on:sac=on:sp=frequency:tha=some:urr=on:i=3058:si=on:rawr=on:rtra=on_0 on theBenchmark for (1778ds/3058Mi) 14.82/2.52 % (23540)Running in auto input_syntax mode. Trying TPTP 14.82/2.52 % (23810)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=1198:si=on:rawr=on:rtra=on_0 on theBenchmark for (1778ds/1198Mi) 14.94/2.56 % (23750)Instruction limit reached! 14.94/2.56 % (23750)------------------------------ 14.94/2.56 % (23750)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 14.94/2.56 % (23750)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 14.94/2.56 % (23750)Termination reason: Time limit 14.94/2.56 % (23750)Termination phase: Saturation 14.94/2.56 14.94/2.56 % (23750)Memory used [KB]: 4822 14.94/2.56 % (23750)Time elapsed: 0.265 s 14.94/2.56 % (23750)Instructions burned: 950 (million) 14.94/2.57 % (23788)Instruction limit reached! 14.94/2.57 % (23788)------------------------------ 14.94/2.57 % (23788)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 14.94/2.57 % (23788)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 14.94/2.57 % (23788)Termination reason: Time limit 14.94/2.57 % (23788)Termination phase: Saturation 14.94/2.57 14.94/2.57 % (23788)Memory used [KB]: 1895 14.94/2.57 % (23788)Time elapsed: 0.119 s 14.94/2.57 % (23788)Instructions burned: 362 (million) 14.94/2.60 % (23678)Instruction limit reached! 14.94/2.60 % (23678)------------------------------ 14.94/2.60 % (23678)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 14.94/2.60 % (23678)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 14.94/2.60 % (23678)Termination reason: Time limit 14.94/2.60 % (23678)Termination phase: Saturation 14.94/2.60 14.94/2.60 % (23678)Memory used [KB]: 8820 14.94/2.60 % (23678)Time elapsed: 0.404 s 14.94/2.60 % (23678)Instructions burned: 1304 (million) 14.94/2.60 % (23540)Running in auto input_syntax mode. Trying TPTP 14.94/2.60 % (23847)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (1777ds/2501Mi) 14.94/2.60 % (23540)Running in auto input_syntax mode. Trying TPTP 14.94/2.60 % (23849)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (1777ds/256Mi) 15.93/2.63 % (23540)Running in auto input_syntax mode. Trying TPTP 15.93/2.63 % (23865)dis+1011_1:1_bd=preordered:sd=2:sos=all:ss=axioms:i=217:si=on:rawr=on:rtra=on_0 on theBenchmark for (1777ds/217Mi) 16.02/2.68 % (23849)Refutation not found, non-redundant clauses discarded% (23849)------------------------------ 16.02/2.68 % (23849)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 16.02/2.68 % (23849)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 16.02/2.68 % (23849)Termination reason: Refutation not found, non-redundant clauses discarded 16.02/2.68 16.02/2.68 % (23849)Memory used [KB]: 2252 16.02/2.68 % (23849)Time elapsed: 0.085 s 16.02/2.68 % (23849)Instructions burned: 258 (million) 16.02/2.68 % (23849)------------------------------ 16.02/2.68 % (23849)------------------------------ 16.02/2.71 % (23865)Instruction limit reached! 16.02/2.71 % (23865)------------------------------ 16.02/2.71 % (23865)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 16.02/2.71 % (23865)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 16.02/2.71 % (23865)Termination reason: Time limit 16.02/2.71 % (23865)Termination phase: Saturation 16.02/2.71 16.02/2.71 % (23865)Memory used [KB]: 2138 16.02/2.71 % (23865)Time elapsed: 0.077 s 16.02/2.71 % (23865)Instructions burned: 217 (million) 16.02/2.72 % (23540)Running in auto input_syntax mode. Trying TPTP 16.02/2.72 % (23870)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (1776ds/1168Mi) 16.02/2.73 % (23614)Instruction limit reached! 16.02/2.73 % (23614)------------------------------ 16.02/2.73 % (23614)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 16.02/2.73 % (23614)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 16.02/2.73 % (23614)Termination reason: Time limit 16.02/2.73 % (23614)Termination phase: Saturation 16.02/2.73 16.02/2.73 % (23614)Memory used [KB]: 12716 16.02/2.73 % (23614)Time elapsed: 1.055 s 16.02/2.73 % (23614)Instructions burned: 3781 (million) 16.02/2.74 % (23540)Running in auto input_syntax mode. Trying TPTP 16.02/2.74 % (23871)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (1775ds/1006Mi) 16.43/2.75 % (23871)Refutation not found, incomplete strategy% (23871)------------------------------ 16.43/2.75 % (23871)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 16.43/2.75 % (23871)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 16.43/2.75 % (23871)Termination reason: Refutation not found, incomplete strategy 16.43/2.75 16.43/2.75 % (23871)Memory used [KB]: 885 16.43/2.75 % (23871)Time elapsed: 0.006 s 16.43/2.75 % (23871)Instructions burned: 12 (million) 16.43/2.75 % (23871)------------------------------ 16.43/2.75 % (23871)------------------------------ 16.43/2.76 % (23540)Running in auto input_syntax mode. Trying TPTP 16.43/2.76 % (23872)dis+1004_1:3_av=off:bs=on:plsq=on:i=4966:si=on:rawr=on:rtra=on_0 on theBenchmark for (1775ds/4966Mi) 16.43/2.78 % (23540)Running in auto input_syntax mode. Trying TPTP 16.43/2.78 % (23873)ott+10_18762:894869_awrs=decay:awrsf=8:bsd=on:drc=off:fsr=off:irw=on:newcnf=on:slsq=on:slsqc=1:slsqr=76,61:i=4835:si=on:rawr=on:rtra=on_0 on theBenchmark for (1775ds/4835Mi) 18.31/2.91 % (23810)Instruction limit reached! 18.31/2.91 % (23810)------------------------------ 18.31/2.91 % (23810)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 18.31/2.91 % (23810)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 18.31/2.91 % (23810)Termination reason: Time limit 18.31/2.91 % (23810)Termination phase: Saturation 18.31/2.91 18.31/2.91 % (23810)Memory used [KB]: 5281 18.31/2.91 % (23810)Time elapsed: 0.395 s 18.31/2.91 % (23810)Instructions burned: 1199 (million) 18.48/2.95 % (23540)Running in auto input_syntax mode. Trying TPTP 18.48/2.95 % (23874)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=3932:si=on:rawr=on:rtra=on_0 on theBenchmark for (1774ds/3932Mi) 19.06/3.08 % (23870)Instruction limit reached! 19.06/3.08 % (23870)------------------------------ 19.06/3.08 % (23870)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 19.06/3.08 % (23870)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 19.06/3.08 % (23870)Termination reason: Time limit 19.06/3.08 % (23870)Termination phase: Saturation 19.06/3.08 19.06/3.08 % (23870)Memory used [KB]: 5714 19.06/3.08 % (23870)Time elapsed: 0.362 s 19.06/3.08 % (23870)Instructions burned: 1171 (million) 19.44/3.11 % (23540)Running in auto input_syntax mode. Trying TPTP 19.44/3.11 % (23875)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (1772ds/1742Mi) 20.15/3.25 % (23847)Instruction limit reached! 20.15/3.25 % (23847)------------------------------ 20.15/3.25 % (23847)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 20.15/3.25 % (23847)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 20.15/3.25 % (23847)Termination reason: Time limit 20.15/3.25 % (23847)Termination phase: Saturation 20.15/3.25 20.15/3.25 % (23847)Memory used [KB]: 12946 20.15/3.25 % (23847)Time elapsed: 0.654 s 20.15/3.25 % (23847)Instructions burned: 2501 (million) 20.15/3.29 % (23540)Running in auto input_syntax mode. Trying TPTP 20.15/3.29 % (23876)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3843:si=on:rawr=on:rtra=on_0 on theBenchmark for (1770ds/3843Mi) 21.83/3.41 % (23809)Instruction limit reached! 21.83/3.41 % (23809)------------------------------ 21.83/3.41 % (23809)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 21.83/3.41 % (23809)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 21.83/3.41 % (23809)Termination reason: Time limit 21.83/3.41 % (23809)Termination phase: Saturation 21.83/3.41 21.83/3.41 % (23809)Memory used [KB]: 28997 21.83/3.41 % (23809)Time elapsed: 0.893 s 21.83/3.41 % (23809)Instructions burned: 3059 (million) 21.83/3.44 % (23540)Running in auto input_syntax mode. Trying TPTP 21.83/3.44 % (23877)WARNING: option skr not known. 21.83/3.44 % (23877)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (1769ds/947Mi) 23.17/3.64 % (23875)Instruction limit reached! 23.17/3.64 % (23875)------------------------------ 23.17/3.64 % (23875)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 23.17/3.64 % (23875)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 23.17/3.64 % (23875)Termination reason: Time limit 23.17/3.64 % (23875)Termination phase: Saturation 23.17/3.64 23.17/3.64 % (23875)Memory used [KB]: 5286 23.17/3.64 % (23875)Time elapsed: 0.534 s 23.17/3.64 % (23875)Instructions burned: 1744 (million) 23.17/3.68 % (23540)Running in auto input_syntax mode. Trying TPTP 23.17/3.68 % (23878)dis+10_1:14_awrs=converge:sp=unary_first:tgt=ground:i=3622:si=on:rawr=on:rtra=on_0 on theBenchmark for (1766ds/3622Mi) 23.17/3.70 % (23877)Instruction limit reached! 23.17/3.70 % (23877)------------------------------ 23.17/3.70 % (23877)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 23.17/3.70 % (23877)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 23.17/3.70 % (23877)Termination reason: Time limit 23.17/3.70 % (23877)Termination phase: Saturation 23.17/3.70 23.17/3.70 % (23877)Memory used [KB]: 4823 23.17/3.70 % (23877)Time elapsed: 0.261 s 23.17/3.70 % (23877)Instructions burned: 950 (million) 23.91/3.74 % (23540)Running in auto input_syntax mode. Trying TPTP 23.91/3.74 % (23879)lrs+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (1766ds/4725Mi) 26.59/4.13 % (23874)Instruction limit reached! 26.59/4.13 % (23874)------------------------------ 26.59/4.13 % (23874)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 26.59/4.13 % (23874)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 26.59/4.13 % (23874)Termination reason: Time limit 26.59/4.13 % (23874)Termination phase: Saturation 26.59/4.13 26.59/4.13 % (23874)Memory used [KB]: 11574 26.59/4.13 % (23874)Time elapsed: 1.208 s 26.59/4.13 % (23874)Instructions burned: 3932 (million) 27.09/4.16 % (23540)Running in auto input_syntax mode. Trying TPTP 27.09/4.16 % (23880)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=1518:si=on:rawr=on:rtra=on_0 on theBenchmark for (1761ds/1518Mi) 27.45/4.22 % (23872)Instruction limit reached! 27.45/4.22 % (23872)------------------------------ 27.45/4.22 % (23872)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 27.45/4.22 % (23872)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 27.45/4.22 % (23872)Termination reason: Time limit 27.45/4.22 % (23872)Termination phase: Saturation 27.45/4.22 27.45/4.22 % (23872)Memory used [KB]: 24863 27.45/4.22 % (23872)Time elapsed: 1.463 s 27.45/4.22 % (23872)Instructions burned: 4968 (million) 27.58/4.26 % (23540)Running in auto input_syntax mode. Trying TPTP 27.58/4.26 % (23881)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2661:si=on:rawr=on:rtra=on_0 on theBenchmark for (1760ds/2661Mi) 27.99/4.36 % (23873)Instruction limit reached! 27.99/4.36 % (23873)------------------------------ 27.99/4.36 % (23873)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 27.99/4.36 % (23873)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 27.99/4.36 % (23873)Termination reason: Time limit 27.99/4.36 % (23873)Termination phase: Saturation 27.99/4.36 27.99/4.36 % (23873)Memory used [KB]: 17309 27.99/4.36 % (23873)Time elapsed: 1.580 s 27.99/4.36 % (23873)Instructions burned: 4835 (million) 27.99/4.36 % (23876)Instruction limit reached! 27.99/4.36 % (23876)------------------------------ 27.99/4.36 % (23876)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 27.99/4.36 % (23876)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 27.99/4.36 % (23876)Termination reason: Time limit 27.99/4.36 % (23876)Termination phase: Saturation 27.99/4.36 27.99/4.36 % (23876)Memory used [KB]: 12997 27.99/4.36 % (23876)Time elapsed: 1.076 s 27.99/4.36 % (23876)Instructions burned: 3846 (million) 28.26/4.39 % (23540)Running in auto input_syntax mode. Trying TPTP 28.26/4.39 % (23882)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=1324:si=on:rawr=on:rtra=on_0 on theBenchmark for (1759ds/1324Mi) 28.26/4.40 % (23882)Refutation not found, incomplete strategy% (23882)------------------------------ 28.26/4.40 % (23882)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 28.26/4.40 % (23882)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 28.26/4.40 % (23882)Termination reason: Refutation not found, incomplete strategy 28.26/4.40 28.26/4.40 % (23882)Memory used [KB]: 851 28.26/4.40 % (23882)Time elapsed: 0.004 s 28.26/4.40 % (23882)Instructions burned: 5 (million) 28.26/4.40 % (23882)------------------------------ 28.26/4.40 % (23882)------------------------------ 28.26/4.40 % (23540)Running in auto input_syntax mode. Trying TPTP 28.26/4.40 % (23883)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (1759ds/1168Mi) 28.26/4.43 % (23540)Running in auto input_syntax mode. Trying TPTP 28.26/4.43 % (23884)dis+1004_1:3_av=off:bs=on:plsq=on:i=11321:si=on:rawr=on:rtra=on_0 on theBenchmark for (1759ds/11321Mi) 29.72/4.54 % (23880)Instruction limit reached! 29.72/4.54 % (23880)------------------------------ 29.72/4.54 % (23880)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 29.72/4.54 % (23880)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 29.72/4.54 % (23880)Termination reason: Time limit 29.72/4.54 % (23880)Termination phase: Saturation 29.72/4.54 29.72/4.54 % (23880)Memory used [KB]: 5674 29.72/4.54 % (23880)Time elapsed: 0.382 s 29.72/4.54 % (23880)Instructions burned: 1519 (million) 29.93/4.58 % (23540)Running in auto input_syntax mode. Trying TPTP 29.93/4.58 % (23885)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=12082:si=on:rawr=on:rtra=on_0 on theBenchmark for (1757ds/12082Mi) 31.00/4.75 % (23883)Instruction limit reached! 31.00/4.75 % (23883)------------------------------ 31.00/4.75 % (23883)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 31.00/4.75 % (23883)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 31.00/4.75 % (23883)Termination reason: Time limit 31.00/4.75 % (23883)Termination phase: Saturation 31.00/4.75 31.00/4.75 % (23883)Memory used [KB]: 5714 31.00/4.75 % (23883)Time elapsed: 0.357 s 31.00/4.75 % (23883)Instructions burned: 1171 (million) 31.00/4.76 % (23878)Instruction limit reached! 31.00/4.76 % (23878)------------------------------ 31.00/4.76 % (23878)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 31.00/4.76 % (23878)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 31.00/4.76 % (23878)Termination reason: Time limit 31.00/4.76 % (23878)Termination phase: Saturation 31.00/4.76 31.00/4.76 % (23878)Memory used [KB]: 19939 31.00/4.76 % (23878)Time elapsed: 1.081 s 31.00/4.76 % (23878)Instructions burned: 3622 (million) 31.17/4.79 % (23540)Running in auto input_syntax mode. Trying TPTP 31.17/4.79 % (23886)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=31695:si=on:rawr=on:rtra=on_0 on theBenchmark for (1755ds/31695Mi) 31.17/4.79 % (23540)Running in auto input_syntax mode. Trying TPTP 31.17/4.79 % (23887)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=7145:si=on:rawr=on:rtra=on_0 on theBenchmark for (1755ds/7145Mi) 31.78/4.94 % (23881)Instruction limit reached! 31.78/4.94 % (23881)------------------------------ 31.78/4.94 % (23881)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 31.78/4.94 % (23881)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 31.78/4.94 % (23881)Termination reason: Time limit 31.78/4.94 % (23881)Termination phase: Saturation 31.78/4.94 31.78/4.94 % (23881)Memory used [KB]: 12582 31.78/4.94 % (23881)Time elapsed: 0.687 s 31.78/4.94 % (23881)Instructions burned: 2662 (million) 31.96/4.98 % (23540)Running in auto input_syntax mode. Trying TPTP 31.96/4.98 % (23888)lrs+10_1:1_br=off:ep=RSTC:plsq=on:plsqc=1:plsqr=32,1:urr=on:i=48352:si=on:rawr=on:rtra=on_0 on theBenchmark for (1753ds/48352Mi) 33.64/5.09 % (23879)Refutation not found, non-redundant clauses discarded% (23879)------------------------------ 33.64/5.09 % (23879)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 33.64/5.09 % (23879)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 33.64/5.09 % (23879)Termination reason: Refutation not found, non-redundant clauses discarded 33.64/5.09 33.64/5.09 % (23879)Memory used [KB]: 8208 33.64/5.09 % (23879)Time elapsed: 1.357 s 33.64/5.09 % (23879)Instructions burned: 4690 (million) 33.64/5.10 % (23879)------------------------------ 33.64/5.10 % (23879)------------------------------ 33.64/5.13 % (23540)Running in auto input_syntax mode. Trying TPTP 33.64/5.13 % (23889)lrs+10_1:16_ss=axioms:st=3.0:i=48076:si=on:rawr=on:rtra=on_0 on theBenchmark for (1752ds/48076Mi) 43.50/6.52 % (23887)Instruction limit reached! 43.50/6.52 % (23887)------------------------------ 43.50/6.52 % (23887)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 43.50/6.52 % (23887)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 43.50/6.52 % (23887)Termination reason: Time limit 43.50/6.52 % (23887)Termination phase: Saturation 43.50/6.52 43.50/6.52 % (23887)Memory used [KB]: 9075 43.50/6.52 % (23887)Time elapsed: 1.755 s 43.50/6.52 % (23887)Instructions burned: 7148 (million) 43.50/6.56 % (23540)Running in auto input_syntax mode. Trying TPTP 43.50/6.56 % (23890)lrs+21_1:1_ep=RS:fs=off:fsr=off:s2a=on:s2at=1.5:sac=on:sos=all:updr=off:i=24952:si=on:rawr=on:rtra=on_0 on theBenchmark for (1737ds/24952Mi) 51.58/7.66 % (23884)Instruction limit reached! 51.58/7.66 % (23884)------------------------------ 51.58/7.66 % (23884)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 51.58/7.66 % (23884)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 51.58/7.66 % (23884)Termination reason: Time limit 51.58/7.66 % (23884)Termination phase: Saturation 51.58/7.66 51.58/7.66 % (23884)Memory used [KB]: 45281 51.58/7.66 % (23884)Time elapsed: 3.230 s 51.58/7.66 % (23884)Instructions burned: 11323 (million) 51.58/7.70 % (23540)Running in auto input_syntax mode. Trying TPTP 51.58/7.70 % (23891)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=17722:si=on:rawr=on:rtra=on_0 on theBenchmark for (1726ds/17722Mi) 57.99/8.56 % (23885)Instruction limit reached! 57.99/8.56 % (23885)------------------------------ 57.99/8.56 % (23885)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 57.99/8.56 % (23885)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 57.99/8.56 % (23885)Termination reason: Time limit 57.99/8.56 % (23885)Termination phase: Saturation 57.99/8.56 57.99/8.56 % (23885)Memory used [KB]: 30593 57.99/8.56 % (23885)Time elapsed: 4.003 s 57.99/8.56 % (23885)Instructions burned: 12082 (million) 57.99/8.60 % (23540)Running in auto input_syntax mode. Trying TPTP 57.99/8.60 % (23892)lrs+35_1:1_aac=none:abs=on:amm=off:norm_ineq=on:s2a=on:s2at=3.0:tha=off:i=25691:si=on:rawr=on:rtra=on_0 on theBenchmark for (1717ds/25691Mi) 83.14/12.18 % (23541)First to succeed. 83.49/12.22 % (23541)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23540" 83.49/12.24 % (23540)Running in auto input_syntax mode. Trying TPTP 83.49/12.24 % (23541)Refutation found. Thanks to Tanya! 83.49/12.24 % SZS status Theorem for theBenchmark 83.49/12.24 % SZS output start Proof for theBenchmark 83.49/12.24 tff(type_def_5, type, set: $tType). 83.49/12.24 tff(type_def_6, type, element: $tType). 83.49/12.24 tff(func_def_0, type, empty_set: set). 83.49/12.24 tff(func_def_1, type, singleton: element > set). 83.49/12.24 tff(func_def_2, type, intersection: (set * set) > set). 83.49/12.24 tff(func_def_3, type, union: (set * set) > set). 83.49/12.24 tff(func_def_4, type, difference: (set * set) > set). 83.49/12.24 tff(func_def_5, type, complement: set > set). 83.49/12.24 tff(func_def_6, type, cardinality: set > $int). 83.49/12.24 tff(func_def_12, type, sK0: set > element). 83.49/12.24 tff(func_def_13, type, sK1: element). 83.49/12.24 tff(func_def_14, type, sK2: set). 83.49/12.24 tff(func_def_15, type, sK3: set). 83.49/12.24 tff(func_def_16, type, sK4: set). 83.49/12.24 tff(func_def_17, type, sK5: set). 83.49/12.24 tff(func_def_18, type, sK6: element). 83.49/12.24 tff(func_def_19, type, sK7: element). 83.49/12.24 tff(func_def_20, type, sF8: set). 83.49/12.24 tff(func_def_21, type, sF9: set). 83.49/12.24 tff(func_def_22, type, sF10: set). 83.49/12.24 tff(func_def_23, type, sF11: set). 83.49/12.24 tff(func_def_24, type, sF12: set). 83.49/12.24 tff(func_def_25, type, sF13: set). 83.49/12.24 tff(func_def_26, type, sF14: set). 83.49/12.24 tff(func_def_27, type, sF15: $int). 83.49/12.24 tff(func_def_28, type, sF16: $int). 83.49/12.24 tff(func_def_29, type, sF17: $int). 83.49/12.24 tff(func_def_30, type, sF18: set). 83.49/12.24 tff(pred_def_1, type, member: (element * set) > $o). 83.49/12.24 tff(pred_def_2, type, subset: (set * set) > $o). 83.49/12.24 tff(f440426,plain,( 83.49/12.24 $false), 83.49/12.24 inference(avatar_smt_refutation,[],[f92,f96,f100,f104,f108,f112,f116,f120,f124,f128,f132,f136,f140,f144,f148,f152,f156,f160,f175,f183,f197,f210,f214,f218,f269,f279,f361,f374,f393,f398,f407,f415,f420,f428,f450,f454,f462,f466,f467,f471,f490,f495,f501,f507,f515,f520,f525,f537,f542,f546,f561,f565,f569,f585,f612,f622,f642,f687,f762,f1021,f1041,f1286,f1320,f1431,f1441,f1445,f1471,f1479,f1492,f1499,f1500,f1523,f1527,f1537,f1539,f1540,f1646,f1651,f1655,f1737,f1777,f1864,f1931,f2012,f2052,f2304,f2318,f2394,f2448,f2531,f2539,f2678,f2834,f2843,f5068,f5072,f5202,f5375,f6203,f6755,f6760,f6764,f6796,f6911,f6915,f6919,f7134,f9613,f11221,f11337,f11468,f11602,f11787,f11930,f12386,f12561,f31142,f31489,f31952,f31972,f31973,f31974,f31975,f33226,f33227,f33228,f33229,f33323,f33495,f37092,f37096,f37103,f37110,f37877,f37885,f38993,f39000,f39004,f39010,f39013,f39664,f39696,f39796,f39803,f40306,f40308,f40312,f40314,f41008,f41009,f41010,f41839,f42076,f42453,f42705,f51941,f51961,f51962,f51975,f51979,f52203,f52207,f52211,f52354,f52364,f52369,f52381,f52385,f52432,f52438,f52456,f52460,f52507,f52521,f52525,f52570,f52574,f52578,f52590,f52926,f52935,f52965,f52976,f52980,f53010,f53108,f53112,f53132,f53143,f53302,f53315,f53319,f53330,f53335,f53337,f53350,f53355,f53359,f53365,f53366,f53373,f53388,f53389,f53397,f53429,f53433,f53441,f53445,f53453,f53463,f53467,f53474,f53493,f53548,f53562,f53563,f53683,f53748,f53783,f53792,f53835,f53852,f53857,f53865,f53927,f53941,f53948,f53952,f53959,f53963,f53976,f53995,f53996,f53997,f53998,f53999,f54000,f54004,f54008,f54015,f54024,f54033,f54040,f54063,f54066,f54070,f54077,f54087,f54091,f54095,f54099,f54103,f54107,f54129,f54130,f54131,f54132,f54133,f54134,f54135,f54152,f54167,f54168,f54190,f54196,f54200,f54477,f54487,f54531,f54535,f54542,f54546,f54557,f54563,f54580,f54592,f54594,f54665,f54670,f54719,f54766,f54771,f54775,f54815,f54822,f54831,f54849,f54853,f54861,f54865,f54866,f54887,f54908,f54913,f54916,f54920,f54925,f54929,f54933,f54940,f54966,f54994,f55079,f55122,f55126,f55138,f55156,f55282,f55283,f55285,f55288,f55289,f55290,f55297,f55301,f55406,f55451,f55472,f55495,f55503,f55507,f55515,f55522,f55527,f55548,f55550,f55561,f55562,f55625,f55629,f55657,f55680,f55735,f55736,f55879,f55902,f55954,f56009,f56047,f56091,f56092,f56093,f56094,f56132,f56136,f56181,f56185,f56227,f56322,f56386,f56413,f56447,f56449,f56451,f56496,f56626,f56627,f56631,f56787,f56788,f56792,f56796,f56812,f56848,f56852,f56989,f56990,f56991,f57005,f57029,f57033,f57037,f57067,f57068,f57073,f57074,f57078,f57100,f57113,f57117,f57130,f57172,f57205,f57252,f57258,f57324,f57499,f57600,f57666,f57694,f57699,f57766,f57790,f57794,f57844,f58995,f58999,f59053,f59059,f59163,f59167,f59171,f59217,f59240,f59270,f59275,f59280,f59581,f59892,f61081,f61558,f62015,f62197,f62826,f63216,f63312,f63646,f63798,f64135,f65200,f65453,f65454,f65834,f65841,f65848,f65901,f66190,f66314,f66318,f66623,f66627,f66745,f66783,f66827,f66830,f67174,f67179,f67219,f67261,f67384,f67396,f67556,f67641,f67642,f67643,f67644,f67645,f67646,f67647,f67648,f67681,f67714,f69113,f69147,f69151,f69247,f69251,f69318,f69398,f69418,f69446,f69450,f69595,f69614,f70117,f70550,f71283,f72005,f72042,f72312,f72615,f72739,f73046,f73186,f73210,f73234,f73397,f73860,f73864,f74047,f74150,f74154,f74158,f74609,f74671,f74698,f74727,f75230,f75902,f75966,f76004,f76056,f76237,f76308,f76312,f76322,f76339,f76358,f76457,f76458,f76652,f76656,f76664,f76668,f76673,f76678,f76887,f76894,f76895,f76900,f76981,f76994,f76995,f77024,f77072,f77077,f77217,f77221,f77286,f77290,f77306,f77312,f77316,f77345,f77865,f78024,f78095,f78099,f78150,f78755,f78756,f78824,f78901,f79040,f79175,f79203,f79435,f79651,f79730,f79734,f79735,f79835,f80164,f80165,f80169,f81481,f81589,f81757,f81761,f82076,f82080,f82084,f82980,f83424,f84035,f84086,f84848,f85041,f85045,f85272,f85918,f85922,f85984,f87005,f87236,f88016,f88020,f88675,f89180,f89184,f89346,f89350,f89432,f89524,f90194,f90198,f90199,f90569,f90574,f90626,f90631,f91118,f91240,f91244,f91683,f91733,f91943,f92205,f94046,f94235,f95310,f95315,f95604,f95745,f97407,f97493,f97668,f97672,f97676,f97680,f97688,f97698,f97887,f98240,f98244,f98524,f98618,f98625,f98730,f99437,f99487,f105176,f105181,f105192,f105346,f105347,f105351,f105385,f105386,f105392,f105393,f105578,f105583,f105597,f105901,f106283,f106429,f106601,f106716,f106717,f106718,f106719,f106720,f106721,f106722,f106723,f108523,f108527,f108531,f108798,f111483,f111725,f112494,f112904,f113341,f113345,f113663,f113700,f113715,f113752,f113766,f113767,f113927,f113928,f114534,f114541,f114562,f114569,f114590,f114608,f114609,f114629,f114872,f115018,f115019,f115041,f115111,f115160,f115161,f115162,f115173,f115174,f115194,f115201,f115205,f115209,f115381,f115382,f115774,f115886,f115928,f116265,f116445,f116544,f116567,f116925,f116929,f117798,f118838,f118840,f118841,f121305,f121309,f123608,f125104,f128033,f128131,f129088,f129117,f129121,f129173,f129174,f129175,f129176,f129273,f129764,f129765,f129822,f129830,f129832,f129833,f131057,f131103,f131637,f132873,f132874,f132875,f132923,f132928,f132932,f133711,f133718,f133725,f133885,f135781,f138811,f138812,f139142,f140674,f141132,f141275,f141282,f141371,f143456,f143460,f143561,f143568,f144637,f144713,f145135,f145176,f145265,f145269,f145273,f146289,f147020,f147024,f147464,f147604,f147643,f147924,f148780,f148977,f149334,f150520,f150524,f150528,f151228,f151315,f151316,f151317,f151318,f151319,f151320,f151321,f151322,f151323,f151387,f151578,f151623,f151815,f151963,f152654,f152749,f152750,f152754,f152761,f152925,f152969,f153233,f153378,f154147,f154704,f154794,f155555,f155559,f156108,f156200,f156245,f156765,f156860,f157942,f157986,f158120,f158127,f158336,f160518,f160686,f161084,f161715,f161775,f162006,f162088,f162093,f162095,f164787,f164924,f165391,f165427,f165595,f167139,f167172,f167213,f167217,f167596,f170127,f170308,f170618,f171701,f172838,f173074,f173199,f173200,f173201,f173202,f173203,f173204,f173205,f173206,f173207,f173208,f173209,f178985,f179132,f179174,f179179,f179404,f179415,f179602,f179664,f179733,f179781,f183539,f183658,f183659,f183660,f183661,f183662,f183663,f183664,f183665,f185962,f185966,f185975,f187898,f187902,f187910,f188002,f188053,f188061,f188156,f188303,f188310,f190380,f190424,f190527,f190570,f192542,f192546,f192639,f192644,f192657,f192660,f192665,f192674,f192684,f194601,f194730,f194731,f194732,f194733,f194734,f194735,f194736,f194737,f194738,f194739,f194740,f194741,f194752,f196718,f197771,f199018,f199026,f199069,f199124,f199524,f199634,f199641,f199658,f199662,f199666,f199670,f199674,f199678,f199682,f199686,f199691,f199695,f199829,f199838,f199845,f200276,f200281,f200702,f200709,f200718,f201146,f201150,f201154,f201589,f201713,f201721,f201818,f201825,f201873,f201883,f202003,f202134,f202135,f202136,f202137,f202138,f202139,f202140,f202141,f202142,f202143,f202144,f202145,f202146,f202549,f202647,f202697,f202815,f202816,f202817,f202818,f202819,f202820,f202821,f202822,f202823,f202832,f202839,f202883,f202983,f203031,f203038,f203097,f203200,f203295,f203402,f203445,f203455,f203652,f203653,f203654,f203655,f203656,f203657,f203658,f203659,f203660,f203661,f203662,f203663,f203664,f203665,f203666,f203667,f203668,f203669,f203670,f203671,f203672,f203673,f203674,f203675,f203726,f203730,f204099,f204103,f204110,f204315,f204857,f204925,f204977,f204983,f209871,f209876,f209967,f209971,f210557,f210944,f211015,f211019,f211023,f211120,f211121,f211125,f211132,f213551,f214707,f214764,f214768,f214842,f214846,f217057,f217058,f217065,f217069,f217145,f217626,f217665,f217666,f217723,f217871,f217875,f217879,f217883,f218032,f218072,f218140,f218199,f218233,f220566,f220573,f221429,f221435,f221439,f221551,f221960,f221999,f222467,f223351,f223756,f223878,f223884,f223888,f223892,f223899,f223903,f223910,f224076,f224080,f224085,f224089,f224502,f224506,f224513,f224517,f224572,f225215,f225735,f226547,f234597,f240512,f240516,f241422,f241955,f243468,f247755,f247759,f247826,f248413,f248418,f250096,f250097,f250593,f250594,f250598,f250599,f253400,f253665,f253669,f254105,f254109,f254113,f254482,f254486,f254490,f254494,f254935,f254939,f254986,f254990,f255239,f255243,f255247,f255310,f255988,f255992,f255996,f256613,f256672,f256676,f256680,f256684,f256688,f257490,f257601,f257809,f257810,f258298,f258760,f258766,f258879,f258884,f259383,f259849,f260732,f261037,f261182,f261247,f261826,f261845,f262235,f262239,f262409,f262618,f262629,f262630,f262654,f262655,f262656,f262670,f262674,f262772,f262773,f262804,f263832,f263836,f263897,f264620,f265346,f265534,f267591,f267662,f267944,f268538,f268874,f268876,f268990,f268994,f269000,f269001,f269002,f269003,f269004,f269008,f269016,f269020,f269021,f269025,f269059,f269060,f269100,f269101,f269102,f269103,f269121,f269136,f269139,f269140,f269148,f269149,f269150,f269151,f269152,f269169,f269170,f269171,f269201,f269205,f269229,f269373,f269407,f269523,f269524,f269563,f269631,f269632,f269772,f269788,f269795,f269818,f269825,f269832,f269997,f270120,f270158,f270162,f270166,f270203,f270209,f270213,f270255,f270374,f270673,f270674,f270852,f270859,f270886,f271286,f271302,f271609,f271613,f271614,f271618,f271679,f271683,f271687,f271767,f271778,f271818,f271835,f271843,f271847,f271851,f271879,f271885,f271915,f271919,f271976,f271977,f272007,f272036,f272068,f272088,f272089,f272093,f272101,f272105,f272158,f272219,f272223,f272227,f272231,f272355,f272367,f272371,f272403,f272660,f272850,f273212,f273213,f273217,f273221,f273225,f273229,f273543,f273547,f273832,f273836,f273841,f273845,f274278,f274282,f274286,f274290,f274291,f274304,f274305,f274624,f275362,f275366,f275390,f275409,f275798,f275815,f275886,f275911,f275915,f275935,f275968,f276083,f276138,f276161,f276254,f276280,f276609,f276613,f276625,f276711,f276818,f276892,f277580,f277912,f278016,f278017,f278018,f278019,f278023,f278096,f278247,f278248,f278249,f278250,f278254,f278255,f278259,f278345,f278383,f278471,f278514,f278628,f278783,f278871,f278952,f283881,f285810,f286045,f286072,f286103,f288875,f288876,f289141,f289173,f290820,f290964,f291010,f291082,f291134,f291135,f291136,f291177,f291183,f291202,f291206,f291224,f291246,f291799,f292707,f292816,f293805,f295069,f295827,f296718,f296754,f297044,f298102,f298103,f298104,f298105,f298106,f298107,f298108,f298109,f298110,f298111,f298112,f298113,f298114,f298140,f298709,f298716,f298717,f298782,f298786,f298825,f298826,f299389,f299404,f299409,f299410,f303591,f303598,f303605,f303762,f304366,f304847,f304851,f304856,f304875,f304918,f304930,f310083,f310213,f310218,f310232,f310376,f311134,f311394,f311409,f311416,f311575,f311582,f311586,f311756,f312878,f314151,f314155,f315744,f316884,f316901,f316905,f316909,f316913,f316920,f316944,f317405,f317409,f317541,f317542,f317744,f317764,f317833,f317837,f317847,f317851,f318966,f319494,f319546,f319550,f319554,f319555,f319567,f319582,f319599,f319616,f319633,f319637,f319646,f319653,f319660,f319661,f319665,f320100,f320104,f320112,f320116,f320118,f320122,f320127,f320131,f320150,f320157,f320158,f320173,f320179,f320192,f320207,f320229,f320230,f320234,f320235,f320272,f320297,f320304,f320330,f320348,f320352,f320376,f320379,f320383,f320391,f320405,f320409,f320410,f320427,f320987,f321016,f321023,f321033,f321057,f321058,f321059,f321187,f321194,f321203,f321209,f321221,f321230,f321234,f321625,f321628,f321648,f321659,f321685,f321689,f322300,f322705,f322715,f322719,f322721,f322722,f322726,f322762,f322771,f322775,f322785,f322786,f322790,f322794,f323080,f323219,f323616,f324737,f324787,f324877,f324959,f324963,f325031,f325035,f325080,f325084,f325088,f325586,f325976,f326124,f326234,f326235,f326375,f326499,f326500,f326569,f326634,f326868,f326872,f326905,f326974,f326994,f327004,f327066,f327102,f327103,f327107,f327111,f327115,f327260,f327264,f327334,f327360,f327364,f327370,f327807,f327811,f327818,f327822,f327826,f327827,f327831,f327832,f327863,f327864,f327868,f327872,f327876,f327880,f327922,f327954,f328056,f328107,f328120,f328165,f328169,f328302,f328377,f328443,f328613,f328617,f328707,f329607,f329611,f330185,f330737,f331022,f331116,f331283,f331383,f331469,f331561,f331577,f331667,f333068,f335343,f335345,f335353,f335457,f335889,f335920,f335923,f335924,f336111,f336452,f336453,f336838,f336978,f336982,f338227,f339365,f340522,f341058,f342011,f342061,f440327,f440360,f440373,f440375,f440421,f440423,f440425])). 83.49/12.24 tff(f440425,plain,( 83.49/12.24 ~spl19_15 | ~spl19_271 | spl19_278), 83.49/12.24 inference(avatar_contradiction_clause,[],[f440424])). 83.49/12.24 tff(f440424,plain,( 83.49/12.24 $false | (~spl19_15 | ~spl19_271 | spl19_278)), 83.49/12.24 inference(subsumption_resolution,[],[f440414,f234593])). 83.49/12.24 tff(f234593,plain,( 83.49/12.24 ~member(sK7,sF12) | spl19_278), 83.49/12.24 inference(avatar_component_clause,[],[f55900])). 83.49/12.24 tff(f55900,plain,( 83.49/12.24 spl19_278 <=> member(sK7,sF12)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_278])])). 83.49/12.24 tff(f440414,plain,( 83.49/12.24 member(sK7,sF12) | (~spl19_15 | ~spl19_271)), 83.49/12.24 inference(resolution,[],[f55521,f237])). 83.49/12.24 tff(f237,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF11) | member(X0,sF12)) ) | ~spl19_15), 83.49/12.24 inference(superposition,[],[f53,f147])). 83.49/12.24 tff(f147,plain,( 83.49/12.24 union(sF10,sF11) = sF12 | ~spl19_15), 83.49/12.24 inference(avatar_component_clause,[],[f146])). 83.49/12.24 tff(f146,plain,( 83.49/12.24 spl19_15 <=> union(sF10,sF11) = sF12), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_15])])). 83.49/12.24 tff(f53,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : element] : (member(X1,union(X0,X2)) | ~member(X1,X2)) )), 83.49/12.24 inference(cnf_transformation,[],[f28])). 83.49/12.24 tff(f28,plain,( 83.49/12.24 ! [X2 : set,X1 : element,X0 : set] : ((member(X1,X0) | member(X1,X2)) <=> member(X1,union(X0,X2)))), 83.49/12.24 inference(rectify,[],[f3])). 83.49/12.24 tff(f3,axiom,( 83.49/12.24 ! [X3 : set,X0 : element,X2 : set] : (member(X0,union(X3,X2)) <=> (member(X0,X2) | member(X0,X3)))), 83.49/12.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 83.49/12.24 tff(f55521,plain,( 83.49/12.24 member(sK7,sF11) | ~spl19_271), 83.49/12.24 inference(avatar_component_clause,[],[f55520])). 83.49/12.24 tff(f55520,plain,( 83.49/12.24 spl19_271 <=> member(sK7,sF11)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_271])])). 83.49/12.24 tff(f440423,plain,( 83.49/12.24 ~spl19_18 | spl19_147 | ~spl19_271), 83.49/12.24 inference(avatar_contradiction_clause,[],[f440422])). 83.49/12.24 tff(f440422,plain,( 83.49/12.24 $false | (~spl19_18 | spl19_147 | ~spl19_271)), 83.49/12.24 inference(subsumption_resolution,[],[f440415,f84082])). 83.49/12.24 tff(f84082,plain,( 83.49/12.24 ~member(sK7,sF18) | spl19_147), 83.49/12.24 inference(avatar_component_clause,[],[f52209])). 83.49/12.24 tff(f52209,plain,( 83.49/12.24 spl19_147 <=> member(sK7,sF18)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_147])])). 83.49/12.24 tff(f440415,plain,( 83.49/12.24 member(sK7,sF18) | (~spl19_18 | ~spl19_271)), 83.49/12.24 inference(resolution,[],[f55521,f238])). 83.49/12.24 tff(f238,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF11) | member(X0,sF18)) ) | ~spl19_18), 83.49/12.24 inference(superposition,[],[f53,f159])). 83.49/12.24 tff(f159,plain,( 83.49/12.24 union(sK5,sF11) = sF18 | ~spl19_18), 83.49/12.24 inference(avatar_component_clause,[],[f158])). 83.49/12.24 tff(f158,plain,( 83.49/12.24 spl19_18 <=> union(sK5,sF11) = sF18), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_18])])). 83.49/12.24 tff(f440421,plain,( 83.49/12.24 spl19_1 | ~spl19_271 | ~spl19_355), 83.49/12.24 inference(avatar_contradiction_clause,[],[f440420])). 83.49/12.24 tff(f440420,plain,( 83.49/12.24 $false | (spl19_1 | ~spl19_271 | ~spl19_355)), 83.49/12.24 inference(subsumption_resolution,[],[f440417,f91])). 83.49/12.24 tff(f91,plain,( 83.49/12.24 ~member(sK7,sK2) | spl19_1), 83.49/12.24 inference(avatar_component_clause,[],[f90])). 83.49/12.24 tff(f90,plain,( 83.49/12.24 spl19_1 <=> member(sK7,sK2)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1])])). 83.49/12.24 tff(f440417,plain,( 83.49/12.24 member(sK7,sK2) | (~spl19_271 | ~spl19_355)), 83.49/12.24 inference(resolution,[],[f55521,f67071])). 83.49/12.24 tff(f67071,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF11) | member(X0,sK2)) ) | ~spl19_355), 83.49/12.24 inference(subsumption_resolution,[],[f67055,f162])). 83.49/12.24 tff(f162,plain,( 83.49/12.24 ( ! [X1 : element] : (~member(X1,empty_set)) )), 83.49/12.24 inference(gaussian_variable_elimination,[],[f60])). 83.49/12.24 tff(f60,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (empty_set != X0 | ~member(X1,X0)) )), 83.49/12.24 inference(cnf_transformation,[],[f35])). 83.49/12.24 tff(f35,plain,( 83.49/12.24 ! [X0 : set] : (empty_set = X0 <=> ! [X1 : element] : ~member(X1,X0))), 83.49/12.24 inference(rectify,[],[f11])). 83.49/12.24 tff(f11,axiom,( 83.49/12.24 ! [X1 : set] : (! [X0 : element] : ~member(X0,X1) <=> empty_set = X1)), 83.49/12.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 83.49/12.24 tff(f67055,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF11) | member(X0,sK2) | member(X0,empty_set)) ) | ~spl19_355), 83.49/12.24 inference(superposition,[],[f61,f66826])). 83.49/12.24 tff(f66826,plain,( 83.49/12.24 empty_set = difference(sF11,sK2) | ~spl19_355), 83.49/12.24 inference(avatar_component_clause,[],[f66825])). 83.49/12.24 tff(f66825,plain,( 83.49/12.24 spl19_355 <=> empty_set = difference(sF11,sK2)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_355])])). 83.49/12.24 tff(f61,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (member(X2,difference(X1,X0)) | member(X2,X0) | ~member(X2,X1)) )), 83.49/12.24 inference(cnf_transformation,[],[f33])). 83.49/12.24 tff(f33,plain,( 83.49/12.24 ! [X0 : set,X2 : element,X1 : set] : ((~member(X2,X0) & member(X2,X1)) <=> member(X2,difference(X1,X0)))), 83.49/12.24 inference(rectify,[],[f2])). 83.49/12.24 tff(f2,axiom,( 83.49/12.24 ! [X3 : set,X4 : set,X2 : element] : (member(X2,difference(X4,X3)) <=> (~member(X2,X3) & member(X2,X4)))), 83.49/12.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 83.49/12.24 tff(f440375,plain,( 83.49/12.24 spl19_1 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_278 | ~spl19_355 | ~spl19_1169 | ~spl19_1183), 83.49/12.24 inference(avatar_contradiction_clause,[],[f440374])). 83.49/12.24 tff(f440374,plain,( 83.49/12.24 $false | (spl19_1 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_278 | ~spl19_355 | ~spl19_1169 | ~spl19_1183)), 83.49/12.24 inference(subsumption_resolution,[],[f440369,f91])). 83.49/12.24 tff(f440369,plain,( 83.49/12.24 member(sK7,sK2) | (~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_278 | ~spl19_355 | ~spl19_1169 | ~spl19_1183)), 83.49/12.24 inference(resolution,[],[f440364,f67071])). 83.49/12.24 tff(f440364,plain,( 83.49/12.24 member(sK7,sF11) | (~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_278 | ~spl19_1169 | ~spl19_1183)), 83.49/12.24 inference(subsumption_resolution,[],[f440362,f376674])). 83.49/12.24 tff(f376674,plain,( 83.49/12.24 ~member(sK7,sF10) | (~spl19_13 | ~spl19_14 | ~spl19_1169 | ~spl19_1183)), 83.49/12.24 inference(resolution,[],[f376572,f331282])). 83.49/12.24 tff(f331282,plain,( 83.49/12.24 member(sK7,complement(sF9)) | ~spl19_1183), 83.49/12.24 inference(avatar_component_clause,[],[f331281])). 83.49/12.24 tff(f331281,plain,( 83.49/12.24 spl19_1183 <=> member(sK7,complement(sF9))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1183])])). 83.49/12.24 tff(f376572,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,complement(sF9)) | ~member(X0,sF10)) ) | (~spl19_13 | ~spl19_14 | ~spl19_1169)), 83.49/12.24 inference(subsumption_resolution,[],[f376560,f162])). 83.49/12.24 tff(f376560,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF10) | ~member(X0,complement(sF9))) ) | (~spl19_13 | ~spl19_14 | ~spl19_1169)), 83.49/12.24 inference(superposition,[],[f46,f376553])). 83.49/12.24 tff(f376553,plain,( 83.49/12.24 empty_set = intersection(sF10,complement(sF9)) | (~spl19_13 | ~spl19_14 | ~spl19_1169)), 83.49/12.24 inference(duplicate_literal_removal,[],[f376536])). 83.49/12.24 tff(f376536,plain,( 83.49/12.24 empty_set = intersection(sF10,complement(sF9)) | empty_set = intersection(sF10,complement(sF9)) | (~spl19_13 | ~spl19_14 | ~spl19_1169)), 83.49/12.24 inference(resolution,[],[f375196,f4904])). 83.49/12.24 tff(f4904,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK0(intersection(X0,complement(X1))),X1) | empty_set = intersection(X0,complement(X1))) )), 83.49/12.24 inference(resolution,[],[f234,f58])). 83.49/12.24 tff(f58,plain,( 83.49/12.24 ( ! [X0 : element,X1 : set] : (~member(X0,complement(X1)) | ~member(X0,X1)) )), 83.49/12.24 inference(cnf_transformation,[],[f1])). 83.49/12.24 tff(f1,axiom,( 83.49/12.24 ! [X1 : set,X0 : element] : (member(X0,X1) <=> ~member(X0,complement(X1)))), 83.49/12.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 83.49/12.24 tff(f234,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (member(sK0(intersection(X0,X1)),X1) | empty_set = intersection(X0,X1)) )), 83.49/12.24 inference(resolution,[],[f48,f59])). 83.49/12.24 tff(f59,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(X0),X0) | empty_set = X0) )), 83.49/12.24 inference(cnf_transformation,[],[f35])). 83.49/12.24 tff(f48,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : element] : (~member(X1,intersection(X0,X2)) | member(X1,X2)) )), 83.49/12.24 inference(cnf_transformation,[],[f34])). 83.49/12.24 tff(f34,plain,( 83.49/12.24 ! [X2 : set,X1 : element,X0 : set] : ((member(X1,X2) & member(X1,X0)) <=> member(X1,intersection(X0,X2)))), 83.49/12.24 inference(rectify,[],[f13])). 83.49/12.24 tff(f13,axiom,( 83.49/12.24 ! [X3 : set,X0 : element,X2 : set] : ((member(X0,X3) & member(X0,X2)) <=> member(X0,intersection(X3,X2)))), 83.49/12.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 83.49/12.24 tff(f375196,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(sF10,X0)),sF9) | empty_set = intersection(sF10,X0)) ) | (~spl19_13 | ~spl19_14 | ~spl19_1169)), 83.49/12.24 inference(subsumption_resolution,[],[f375178,f328182])). 83.49/12.24 tff(f328182,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sK3) | member(X0,sF9)) ) | ~spl19_1169), 83.49/12.24 inference(subsumption_resolution,[],[f328172,f162])). 83.49/12.24 tff(f328172,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sK3) | member(X0,empty_set) | member(X0,sF9)) ) | ~spl19_1169), 83.49/12.24 inference(superposition,[],[f61,f328164])). 83.49/12.24 tff(f328164,plain,( 83.49/12.24 empty_set = difference(sK3,sF9) | ~spl19_1169), 83.49/12.24 inference(avatar_component_clause,[],[f328163])). 83.49/12.24 tff(f328163,plain,( 83.49/12.24 spl19_1169 <=> empty_set = difference(sK3,sF9)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1169])])). 83.49/12.24 tff(f375178,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(sF10,X0)),sF9) | empty_set = intersection(sF10,X0) | member(sK0(intersection(sF10,X0)),sK3)) ) | (~spl19_13 | ~spl19_14)), 83.49/12.24 inference(resolution,[],[f324822,f235])). 83.49/12.24 tff(f235,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF8) | member(X0,sF9)) ) | ~spl19_13), 83.49/12.24 inference(superposition,[],[f53,f139])). 83.49/12.24 tff(f139,plain,( 83.49/12.24 union(sK4,sF8) = sF9 | ~spl19_13), 83.49/12.24 inference(avatar_component_clause,[],[f138])). 83.49/12.24 tff(f138,plain,( 83.49/12.24 spl19_13 <=> union(sK4,sF8) = sF9), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_13])])). 83.49/12.24 tff(f324822,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(sF10,X0)),sF8) | empty_set = intersection(sF10,X0) | member(sK0(intersection(sF10,X0)),sK3)) ) | ~spl19_14), 83.49/12.24 inference(resolution,[],[f349,f233])). 83.49/12.24 tff(f233,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (member(sK0(intersection(X0,X1)),X0) | empty_set = intersection(X0,X1)) )), 83.49/12.24 inference(resolution,[],[f47,f59])). 83.49/12.24 tff(f47,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : element] : (~member(X1,intersection(X0,X2)) | member(X1,X0)) )), 83.49/12.24 inference(cnf_transformation,[],[f34])). 83.49/12.24 tff(f349,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF10) | member(X0,sK3) | member(X0,sF8)) ) | ~spl19_14), 83.49/12.24 inference(superposition,[],[f55,f143])). 83.49/12.24 tff(f143,plain,( 83.49/12.24 union(sK3,sF8) = sF10 | ~spl19_14), 83.49/12.24 inference(avatar_component_clause,[],[f142])). 83.49/12.24 tff(f142,plain,( 83.49/12.24 spl19_14 <=> union(sK3,sF8) = sF10), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_14])])). 83.49/12.24 tff(f55,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : element] : (~member(X1,union(X0,X2)) | member(X1,X2) | member(X1,X0)) )), 83.49/12.24 inference(cnf_transformation,[],[f28])). 83.49/12.24 tff(f46,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : element] : (member(X1,intersection(X0,X2)) | ~member(X1,X0) | ~member(X1,X2)) )), 83.49/12.24 inference(cnf_transformation,[],[f34])). 83.49/12.24 tff(f440362,plain,( 83.49/12.24 member(sK7,sF10) | member(sK7,sF11) | (~spl19_15 | ~spl19_278)), 83.49/12.24 inference(resolution,[],[f55901,f350])). 83.49/12.24 tff(f350,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF12) | member(X0,sF10) | member(X0,sF11)) ) | ~spl19_15), 83.49/12.24 inference(superposition,[],[f55,f147])). 83.49/12.24 tff(f55901,plain,( 83.49/12.24 member(sK7,sF12) | ~spl19_278), 83.49/12.24 inference(avatar_component_clause,[],[f55900])). 83.49/12.24 tff(f440373,plain,( 83.49/12.24 ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | spl19_147 | ~spl19_278 | ~spl19_1169 | ~spl19_1183), 83.49/12.24 inference(avatar_contradiction_clause,[],[f440372])). 83.49/12.24 tff(f440372,plain,( 83.49/12.24 $false | (~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | spl19_147 | ~spl19_278 | ~spl19_1169 | ~spl19_1183)), 83.49/12.24 inference(subsumption_resolution,[],[f440367,f84082])). 83.49/12.24 tff(f440367,plain,( 83.49/12.24 member(sK7,sF18) | (~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_278 | ~spl19_1169 | ~spl19_1183)), 83.49/12.24 inference(resolution,[],[f440364,f238])). 83.49/12.24 tff(f440360,plain,( 83.49/12.24 ~spl19_13 | ~spl19_14 | ~spl19_972 | ~spl19_1169 | ~spl19_1183), 83.49/12.24 inference(avatar_contradiction_clause,[],[f440359])). 83.49/12.24 tff(f440359,plain,( 83.49/12.24 $false | (~spl19_13 | ~spl19_14 | ~spl19_972 | ~spl19_1169 | ~spl19_1183)), 83.49/12.24 inference(subsumption_resolution,[],[f320375,f376674])). 83.49/12.24 tff(f320375,plain,( 83.49/12.24 member(sK7,sF10) | ~spl19_972), 83.49/12.24 inference(avatar_component_clause,[],[f276607])). 83.49/12.24 tff(f276607,plain,( 83.49/12.24 spl19_972 <=> member(sK7,sF10)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_972])])). 83.49/12.24 tff(f440327,plain,( 83.49/12.24 spl19_2 | ~spl19_3 | spl19_6 | ~spl19_8 | ~spl19_9 | ~spl19_11 | ~spl19_12 | ~spl19_14 | ~spl19_15 | ~spl19_16 | ~spl19_17 | ~spl19_20 | ~spl19_97 | ~spl19_100 | spl19_237 | ~spl19_872 | spl19_1162), 83.49/12.24 inference(avatar_contradiction_clause,[],[f440326])). 83.49/12.24 tff(f440326,plain,( 83.49/12.24 $false | (spl19_2 | ~spl19_3 | spl19_6 | ~spl19_8 | ~spl19_9 | ~spl19_11 | ~spl19_12 | ~spl19_14 | ~spl19_15 | ~spl19_16 | ~spl19_17 | ~spl19_20 | ~spl19_97 | ~spl19_100 | spl19_237 | ~spl19_872 | spl19_1162)), 83.49/12.24 inference(subsumption_resolution,[],[f440249,f439847])). 83.49/12.24 tff(f439847,plain,( 83.49/12.24 $less(sF17,sF15) | (spl19_2 | ~spl19_3 | spl19_6 | ~spl19_8 | ~spl19_9 | ~spl19_11 | ~spl19_12 | ~spl19_14 | ~spl19_15 | ~spl19_16 | ~spl19_17 | ~spl19_20 | ~spl19_97 | ~spl19_100 | spl19_237 | ~spl19_872 | spl19_1162)), 83.49/12.24 inference(subsumption_resolution,[],[f439846,f111])). 83.49/12.24 tff(f111,plain,( 83.49/12.24 sF15 != sF17 | spl19_6), 83.49/12.24 inference(avatar_component_clause,[],[f110])). 83.49/12.24 tff(f110,plain,( 83.49/12.24 spl19_6 <=> sF15 = sF17), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_6])])). 83.49/12.24 tff(f439846,plain,( 83.49/12.24 $less(sF17,sF15) | sF15 = sF17 | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_11 | ~spl19_12 | ~spl19_14 | ~spl19_15 | ~spl19_16 | ~spl19_17 | ~spl19_20 | ~spl19_97 | ~spl19_100 | spl19_237 | ~spl19_872 | spl19_1162)), 83.49/12.24 inference(resolution,[],[f439740,f22])). 83.49/12.24 tff(f22,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )), 83.49/12.24 introduced(theory_axiom_152,[])). 83.49/12.24 tff(f439740,plain,( 83.49/12.24 ~$less(sF15,sF17) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_11 | ~spl19_12 | ~spl19_14 | ~spl19_15 | ~spl19_16 | ~spl19_17 | ~spl19_20 | ~spl19_97 | ~spl19_100 | spl19_237 | ~spl19_872 | spl19_1162)), 83.49/12.24 inference(resolution,[],[f439720,f727])). 83.49/12.24 tff(f727,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : (~$less($sum(-1,X0),X1) | ~$less(X1,X0)) )), 83.49/12.24 inference(evaluation,[],[f724])). 83.49/12.24 tff(f724,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : (~$less($sum($uminus(1),X0),X1) | ~$less(X1,X0)) )), 83.49/12.24 inference(superposition,[],[f229,f340])). 83.49/12.24 tff(f340,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )), 83.49/12.24 inference(evaluation,[],[f318])). 83.49/12.24 tff(f318,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )), 83.49/12.24 inference(superposition,[],[f16,f19])). 83.49/12.24 tff(f19,plain,( 83.49/12.24 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )), 83.49/12.24 introduced(theory_axiom_148,[])). 83.49/12.24 tff(f16,plain,( 83.49/12.24 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 83.49/12.24 introduced(theory_axiom_144,[])). 83.49/12.24 tff(f229,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(1,X0)) | ~$less(X0,X1)) )), 83.49/12.24 inference(superposition,[],[f26,f15])). 83.49/12.24 tff(f15,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )), 83.49/12.24 introduced(theory_axiom_143,[])). 83.49/12.24 tff(f26,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )), 83.49/12.24 introduced(theory_axiom_169,[])). 83.49/12.24 tff(f439720,plain,( 83.49/12.24 $less($sum(-1,sF17),sF15) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_11 | ~spl19_12 | ~spl19_14 | ~spl19_15 | ~spl19_16 | ~spl19_17 | ~spl19_20 | ~spl19_97 | ~spl19_100 | spl19_237 | ~spl19_872 | spl19_1162)), 83.49/12.24 inference(subsumption_resolution,[],[f439627,f378087])). 83.49/12.24 tff(f378087,plain,( 83.49/12.24 $less(cardinality(sF10),cardinality(sF12)) | (~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_97 | spl19_237 | spl19_1162)), 83.49/12.24 inference(superposition,[],[f223,f377669])). 83.49/12.24 tff(f377669,plain,( 83.49/12.24 cardinality(sF12) = $sum(cardinality(sF10),1) | (~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_97 | spl19_237 | spl19_1162)), 83.49/12.24 inference(forward_demodulation,[],[f377668,f147])). 83.49/12.24 tff(f377668,plain,( 83.49/12.24 $sum(cardinality(sF10),1) = cardinality(union(sF10,sF11)) | (~spl19_9 | ~spl19_14 | ~spl19_97 | spl19_237 | spl19_1162)), 83.49/12.24 inference(forward_demodulation,[],[f377666,f6754])). 83.49/12.24 tff(f6754,plain,( 83.49/12.24 1 = cardinality(sF11) | ~spl19_97), 83.49/12.24 inference(avatar_component_clause,[],[f6753])). 83.49/12.24 tff(f6753,plain,( 83.49/12.24 spl19_97 <=> 1 = cardinality(sF11)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_97])])). 83.49/12.24 tff(f377666,plain,( 83.49/12.24 cardinality(union(sF10,sF11)) = $sum(cardinality(sF10),cardinality(sF11)) | (~spl19_9 | ~spl19_14 | spl19_237 | spl19_1162)), 83.49/12.24 inference(trivial_inequality_removal,[],[f377658])). 83.49/12.24 tff(f377658,plain,( 83.49/12.24 cardinality(union(sF10,sF11)) = $sum(cardinality(sF10),cardinality(sF11)) | empty_set != empty_set | (~spl19_9 | ~spl19_14 | spl19_237 | spl19_1162)), 83.49/12.24 inference(superposition,[],[f73,f375198])). 83.49/12.24 tff(f375198,plain,( 83.49/12.24 empty_set = intersection(sF10,sF11) | (~spl19_9 | ~spl19_14 | spl19_237 | spl19_1162)), 83.49/12.24 inference(subsumption_resolution,[],[f375197,f97492])). 83.49/12.24 tff(f97492,plain,( 83.49/12.24 ~member(sK6,sF8) | spl19_237), 83.49/12.24 inference(avatar_component_clause,[],[f54773])). 83.49/12.24 tff(f54773,plain,( 83.49/12.24 spl19_237 <=> member(sK6,sF8)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_237])])). 83.49/12.24 tff(f375197,plain,( 83.49/12.24 empty_set = intersection(sF10,sF11) | member(sK6,sF8) | (~spl19_9 | ~spl19_14 | spl19_1162)), 83.49/12.24 inference(subsumption_resolution,[],[f375190,f327921])). 83.49/12.24 tff(f327921,plain,( 83.49/12.24 ~member(sK6,sK3) | spl19_1162), 83.49/12.24 inference(avatar_component_clause,[],[f327920])). 83.49/12.24 tff(f327920,plain,( 83.49/12.24 spl19_1162 <=> member(sK6,sK3)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1162])])). 83.49/12.24 tff(f375190,plain,( 83.49/12.24 member(sK6,sK3) | member(sK6,sF8) | empty_set = intersection(sF10,sF11) | (~spl19_9 | ~spl19_14)), 83.49/12.24 inference(duplicate_literal_removal,[],[f375187])). 83.49/12.24 tff(f375187,plain,( 83.49/12.24 member(sK6,sF8) | empty_set = intersection(sF10,sF11) | empty_set = intersection(sF10,sF11) | member(sK6,sK3) | (~spl19_9 | ~spl19_14)), 83.49/12.24 inference(superposition,[],[f324822,f4913])). 83.49/12.24 tff(f4913,plain,( 83.49/12.24 ( ! [X0 : set] : (sK6 = sK0(intersection(X0,sF11)) | empty_set = intersection(X0,sF11)) ) | ~spl19_9), 83.49/12.24 inference(resolution,[],[f234,f205])). 83.49/12.24 tff(f205,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF11) | sK6 = X0) ) | ~spl19_9), 83.49/12.24 inference(superposition,[],[f52,f123])). 83.49/12.24 tff(f123,plain,( 83.49/12.24 singleton(sK6) = sF11 | ~spl19_9), 83.49/12.24 inference(avatar_component_clause,[],[f122])). 83.49/12.24 tff(f122,plain,( 83.49/12.24 spl19_9 <=> singleton(sK6) = sF11), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_9])])). 83.49/12.24 tff(f52,plain,( 83.49/12.24 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | X0 = X1) )), 83.49/12.24 inference(cnf_transformation,[],[f31])). 83.49/12.24 tff(f31,plain,( 83.49/12.24 ! [X0 : element,X1 : element] : (member(X1,singleton(X0)) <=> X0 = X1)), 83.49/12.24 inference(rectify,[],[f12])). 83.49/12.24 tff(f12,axiom,( 83.49/12.24 ! [X3 : element,X0 : element] : (X0 = X3 <=> member(X0,singleton(X3)))), 83.49/12.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 83.49/12.24 tff(f73,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set != intersection(X1,X0) | cardinality(union(X1,X0)) = $sum(cardinality(X1),cardinality(X0))) )), 83.49/12.24 inference(cnf_transformation,[],[f32])). 83.49/12.24 tff(f32,plain,( 83.49/12.24 ! [X0 : set,X1 : set] : (cardinality(union(X1,X0)) = $sum(cardinality(X1),cardinality(X0)) <=> empty_set = intersection(X1,X0))), 83.49/12.24 inference(rectify,[],[f10])). 83.49/12.24 tff(f10,axiom,( 83.49/12.24 ! [X2 : set,X3 : set] : (cardinality(union(X3,X2)) = $sum(cardinality(X3),cardinality(X2)) <=> empty_set = intersection(X3,X2))), 83.49/12.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 83.49/12.24 tff(f223,plain,( 83.49/12.24 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )), 83.49/12.24 inference(resolution,[],[f24,f20])). 83.49/12.24 tff(f20,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,X0)) )), 83.49/12.24 introduced(theory_axiom_150,[])). 83.49/12.24 tff(f24,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )), 83.49/12.24 introduced(theory_axiom_155,[])). 83.49/12.24 tff(f439627,plain,( 83.49/12.24 ~$less(cardinality(sF10),cardinality(sF12)) | $less($sum(-1,sF17),sF15) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_11 | ~spl19_12 | ~spl19_14 | ~spl19_16 | ~spl19_17 | ~spl19_20 | ~spl19_100 | ~spl19_872)), 83.49/12.24 inference(evaluation,[],[f439521])). 83.49/12.24 tff(f439521,plain,( 83.49/12.24 $less($sum(-2,$sum(sF17,1)),sF15) | ~$less(cardinality(sF10),cardinality(sF12)) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_11 | ~spl19_12 | ~spl19_14 | ~spl19_16 | ~spl19_17 | ~spl19_20 | ~spl19_100 | ~spl19_872)), 83.49/12.24 inference(superposition,[],[f374840,f430070])). 83.49/12.24 tff(f430070,plain,( 83.49/12.24 sF15 = $sum(cardinality(sF12),1) | (~spl19_11 | ~spl19_16 | ~spl19_100 | ~spl19_872)), 83.49/12.24 inference(forward_demodulation,[],[f430069,f131])). 83.49/12.24 tff(f131,plain,( 83.49/12.24 cardinality(sF14) = sF15 | ~spl19_11), 83.49/12.24 inference(avatar_component_clause,[],[f130])). 83.49/12.24 tff(f130,plain,( 83.49/12.24 spl19_11 <=> cardinality(sF14) = sF15), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_11])])). 83.49/12.24 tff(f430069,plain,( 83.49/12.24 cardinality(sF14) = $sum(cardinality(sF12),1) | (~spl19_16 | ~spl19_100 | ~spl19_872)), 83.49/12.24 inference(forward_demodulation,[],[f430068,f151])). 83.49/12.24 tff(f151,plain,( 83.49/12.24 union(sF12,sF13) = sF14 | ~spl19_16), 83.49/12.24 inference(avatar_component_clause,[],[f150])). 83.49/12.24 tff(f150,plain,( 83.49/12.24 spl19_16 <=> union(sF12,sF13) = sF14), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_16])])). 83.49/12.24 tff(f430068,plain,( 83.49/12.24 $sum(cardinality(sF12),1) = cardinality(union(sF12,sF13)) | (~spl19_100 | ~spl19_872)), 83.49/12.24 inference(forward_demodulation,[],[f430060,f6795])). 83.49/12.24 tff(f6795,plain,( 83.49/12.24 1 = cardinality(sF13) | ~spl19_100), 83.49/12.24 inference(avatar_component_clause,[],[f6794])). 83.49/12.24 tff(f6794,plain,( 83.49/12.24 spl19_100 <=> 1 = cardinality(sF13)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_100])])). 83.49/12.24 tff(f430060,plain,( 83.49/12.24 cardinality(union(sF12,sF13)) = $sum(cardinality(sF12),cardinality(sF13)) | ~spl19_872), 83.49/12.24 inference(trivial_inequality_removal,[],[f430049])). 83.49/12.24 tff(f430049,plain,( 83.49/12.24 cardinality(union(sF12,sF13)) = $sum(cardinality(sF12),cardinality(sF13)) | empty_set != empty_set | ~spl19_872), 83.49/12.24 inference(superposition,[],[f73,f262803])). 83.49/12.24 tff(f262803,plain,( 83.49/12.24 empty_set = intersection(sF12,sF13) | ~spl19_872), 83.49/12.24 inference(avatar_component_clause,[],[f262802])). 83.49/12.24 tff(f262802,plain,( 83.49/12.24 spl19_872 <=> empty_set = intersection(sF12,sF13)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_872])])). 83.49/12.24 tff(f374840,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($less($sum(-2,$sum(sF17,X0)),$sum(X1,X0)) | ~$less(cardinality(sF10),X1)) ) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(evaluation,[],[f374703])). 83.49/12.24 tff(f374703,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : (~$less(cardinality(sF10),X1) | $less($sum(1,$sum(sF17,$sum($uminus(3),X0))),$sum(X1,X0))) ) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(superposition,[],[f373795,f340])). 83.49/12.24 tff(f373795,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($less($sum(1,$sum(sF17,X1)),$sum(X0,$sum(3,X1))) | ~$less(cardinality(sF10),X0)) ) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(forward_demodulation,[],[f373794,f15])). 83.49/12.24 tff(f373794,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($less($sum($sum(sF17,X1),1),$sum(X0,$sum(3,X1))) | ~$less(cardinality(sF10),X0)) ) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(forward_demodulation,[],[f373482,f366662])). 83.49/12.24 tff(f366662,plain,( 83.49/12.24 cardinality(sF10) = $sum(1,sF16) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_20)), 83.49/12.24 inference(forward_demodulation,[],[f366661,f143])). 83.49/12.24 tff(f366661,plain,( 83.49/12.24 $sum(1,sF16) = cardinality(union(sK3,sF8)) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_20)), 83.49/12.24 inference(subsumption_resolution,[],[f366612,f95])). 83.49/12.24 tff(f95,plain,( 83.49/12.24 ~member(sK1,sK4) | spl19_2), 83.49/12.24 inference(avatar_component_clause,[],[f94])). 83.49/12.24 tff(f94,plain,( 83.49/12.24 spl19_2 <=> member(sK1,sK4)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_2])])). 83.49/12.24 tff(f366612,plain,( 83.49/12.24 $sum(1,sF16) = cardinality(union(sK3,sF8)) | member(sK1,sK4) | (~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_20)), 83.49/12.24 inference(superposition,[],[f365796,f119])). 83.49/12.24 tff(f119,plain,( 83.49/12.24 singleton(sK1) = sF8 | ~spl19_8), 83.49/12.24 inference(avatar_component_clause,[],[f118])). 83.49/12.24 tff(f118,plain,( 83.49/12.24 spl19_8 <=> singleton(sK1) = sF8), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_8])])). 83.49/12.24 tff(f365796,plain,( 83.49/12.24 ( ! [X0 : element] : ($sum(1,sF16) = cardinality(union(sK3,singleton(X0))) | member(X0,sK4)) ) | (~spl19_3 | ~spl19_12 | ~spl19_20)), 83.49/12.24 inference(forward_demodulation,[],[f365795,f135])). 83.49/12.24 tff(f135,plain,( 83.49/12.24 cardinality(sK3) = sF16 | ~spl19_12), 83.49/12.24 inference(avatar_component_clause,[],[f134])). 83.49/12.24 tff(f134,plain,( 83.49/12.24 spl19_12 <=> cardinality(sK3) = sF16), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_12])])). 83.49/12.24 tff(f365795,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,sK4) | $sum(1,cardinality(sK3)) = cardinality(union(sK3,singleton(X0)))) ) | (~spl19_3 | ~spl19_20)), 83.49/12.24 inference(forward_demodulation,[],[f365794,f15])). 83.49/12.24 tff(f365794,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,sK4) | $sum(cardinality(sK3),1) = cardinality(union(sK3,singleton(X0)))) ) | (~spl19_3 | ~spl19_20)), 83.49/12.24 inference(forward_demodulation,[],[f365792,f6730])). 83.49/12.24 tff(f6730,plain,( 83.49/12.24 ( ! [X0 : element] : (1 = cardinality(singleton(X0))) ) | ~spl19_20), 83.49/12.24 inference(superposition,[],[f6112,f6110])). 83.49/12.24 tff(f6110,plain,( 83.49/12.24 ( ! [X0 : set] : (cardinality(X0) = cardinality(union(X0,empty_set))) ) | ~spl19_20), 83.49/12.24 inference(evaluation,[],[f6109])). 83.49/12.24 tff(f6109,plain,( 83.49/12.24 ( ! [X0 : set] : (cardinality(union(X0,empty_set)) = $sum(cardinality(X0),0)) ) | ~spl19_20), 83.49/12.24 inference(forward_demodulation,[],[f6107,f182])). 83.49/12.24 tff(f182,plain,( 83.49/12.24 0 = cardinality(empty_set) | ~spl19_20), 83.49/12.24 inference(avatar_component_clause,[],[f181])). 83.49/12.24 tff(f181,plain,( 83.49/12.24 spl19_20 <=> 0 = cardinality(empty_set)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_20])])). 83.49/12.24 tff(f6107,plain,( 83.49/12.24 ( ! [X0 : set] : (cardinality(union(X0,empty_set)) = $sum(cardinality(X0),cardinality(empty_set))) )), 83.49/12.24 inference(trivial_inequality_removal,[],[f6100])). 83.49/12.24 tff(f6100,plain,( 83.49/12.24 ( ! [X0 : set] : (cardinality(union(X0,empty_set)) = $sum(cardinality(X0),cardinality(empty_set)) | empty_set != empty_set) )), 83.49/12.24 inference(superposition,[],[f73,f4897])). 83.49/12.24 tff(f4897,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = intersection(X0,empty_set)) )), 83.49/12.24 inference(resolution,[],[f234,f162])). 83.49/12.24 tff(f6112,plain,( 83.49/12.24 ( ! [X0 : element] : (1 = cardinality(union(singleton(X0),empty_set))) ) | ~spl19_20), 83.49/12.24 inference(evaluation,[],[f6111])). 83.49/12.24 tff(f6111,plain,( 83.49/12.24 ( ! [X0 : element] : ($sum(1,0) = cardinality(union(singleton(X0),empty_set))) ) | ~spl19_20), 83.49/12.24 inference(forward_demodulation,[],[f6106,f182])). 83.49/12.24 tff(f6106,plain,( 83.49/12.24 ( ! [X0 : element] : (cardinality(union(singleton(X0),empty_set)) = $sum(1,cardinality(empty_set))) )), 83.49/12.24 inference(trivial_inequality_removal,[],[f6104])). 83.49/12.24 tff(f6104,plain,( 83.49/12.24 ( ! [X0 : element] : (empty_set != empty_set | cardinality(union(singleton(X0),empty_set)) = $sum(1,cardinality(empty_set))) )), 83.49/12.24 inference(superposition,[],[f404,f4897])). 83.49/12.24 tff(f404,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (empty_set != intersection(singleton(X1),X0) | cardinality(union(singleton(X1),X0)) = $sum(1,cardinality(X0))) )), 83.49/12.24 inference(forward_demodulation,[],[f44,f15])). 83.49/12.24 tff(f44,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (empty_set != intersection(singleton(X1),X0) | cardinality(union(singleton(X1),X0)) = $sum(cardinality(X0),1)) )), 83.49/12.24 inference(cnf_transformation,[],[f27])). 83.49/12.24 tff(f27,plain,( 83.49/12.24 ! [X1 : element,X0 : set] : (cardinality(union(singleton(X1),X0)) = $sum(cardinality(X0),1) <=> empty_set = intersection(singleton(X1),X0))), 83.49/12.24 inference(rectify,[],[f9])). 83.49/12.24 tff(f9,axiom,( 83.49/12.24 ! [X1 : set,X0 : element] : (cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) <=> intersection(singleton(X0),X1) = empty_set)), 83.49/12.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 83.49/12.24 tff(f365792,plain,( 83.49/12.24 ( ! [X0 : element] : ($sum(cardinality(sK3),cardinality(singleton(X0))) = cardinality(union(sK3,singleton(X0))) | member(X0,sK4)) ) | ~spl19_3), 83.49/12.24 inference(trivial_inequality_removal,[],[f365784])). 83.49/12.24 tff(f365784,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,sK4) | $sum(cardinality(sK3),cardinality(singleton(X0))) = cardinality(union(sK3,singleton(X0))) | empty_set != empty_set) ) | ~spl19_3), 83.49/12.24 inference(superposition,[],[f73,f327080])). 83.49/12.24 tff(f327080,plain,( 83.49/12.24 ( ! [X0 : element] : (empty_set = intersection(sK3,singleton(X0)) | member(X0,sK4)) ) | ~spl19_3), 83.49/12.24 inference(duplicate_literal_removal,[],[f327073])). 83.49/12.24 tff(f327073,plain,( 83.49/12.24 ( ! [X0 : element] : (empty_set = intersection(sK3,singleton(X0)) | empty_set = intersection(sK3,singleton(X0)) | member(X0,sK4)) ) | ~spl19_3), 83.49/12.24 inference(superposition,[],[f320989,f4898])). 83.49/12.24 tff(f4898,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (sK0(intersection(X0,singleton(X1))) = X1 | empty_set = intersection(X0,singleton(X1))) )), 83.49/12.24 inference(resolution,[],[f234,f52])). 83.49/12.24 tff(f320989,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(sK3,X0)),sK4) | empty_set = intersection(sK3,X0)) ) | ~spl19_3), 83.49/12.24 inference(resolution,[],[f270,f233])). 83.49/12.24 tff(f270,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sK3) | member(X0,sK4)) ) | ~spl19_3), 83.49/12.24 inference(resolution,[],[f56,f99])). 83.49/12.24 tff(f99,plain,( 83.49/12.24 subset(sK3,sK4) | ~spl19_3), 83.49/12.24 inference(avatar_component_clause,[],[f98])). 83.49/12.24 tff(f98,plain,( 83.49/12.24 spl19_3 <=> subset(sK3,sK4)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_3])])). 83.49/12.24 tff(f56,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (~subset(X0,X1) | ~member(X2,X0) | member(X2,X1)) )), 83.49/12.24 inference(cnf_transformation,[],[f39])). 83.49/12.24 tff(f39,plain,( 83.49/12.24 ! [X1 : set,X0 : set] : (! [X2 : element] : (~member(X2,X0) | member(X2,X1)) | ~subset(X0,X1))), 83.49/12.24 inference(ennf_transformation,[],[f38])). 83.49/12.24 tff(f38,plain,( 83.49/12.24 ! [X0 : set,X1 : set] : (subset(X0,X1) => ! [X2 : element] : (member(X2,X0) => member(X2,X1)))), 83.49/12.24 inference(unused_predicate_definition_removal,[],[f36])). 83.49/12.24 tff(f36,plain,( 83.49/12.24 ! [X0 : set,X1 : set] : (subset(X0,X1) <=> ! [X2 : element] : (member(X2,X0) => member(X2,X1)))), 83.49/12.24 inference(rectify,[],[f5])). 83.49/12.24 tff(f5,axiom,( 83.49/12.24 ! [X3 : set,X2 : set] : (subset(X3,X2) <=> ! [X0 : element] : (member(X0,X3) => member(X0,X2)))), 83.49/12.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 83.49/12.24 tff(f373482,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : (~$less($sum(1,sF16),X0) | $less($sum($sum(sF17,X1),1),$sum(X0,$sum(3,X1)))) ) | ~spl19_17), 83.49/12.24 inference(resolution,[],[f323937,f6311])). 83.49/12.24 tff(f6311,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : (~$less($sum(1,X0),X1) | $less($sum(X0,1),X1)) )), 83.49/12.24 inference(resolution,[],[f336,f224])). 83.49/12.24 tff(f224,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(1,X0)) | $less(X0,X1)) )), 83.49/12.24 inference(superposition,[],[f24,f15])). 83.49/12.24 tff(f336,plain,( 83.49/12.24 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X2,$sum(X0,$sum(X1,1))) | ~$less($sum(X0,X1),X2)) )), 83.49/12.24 inference(superposition,[],[f26,f16])). 83.49/12.24 tff(f323937,plain,( 83.49/12.24 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X1,$sum(sF17,X0)),$sum(X2,$sum(3,X0))) | ~$less($sum(X1,sF16),X2)) ) | ~spl19_17), 83.49/12.24 inference(superposition,[],[f331,f325])). 83.49/12.24 tff(f325,plain,( 83.49/12.24 ( ! [X0 : $int] : ($sum(sF17,X0) = $sum(sF16,$sum(3,X0))) ) | ~spl19_17), 83.49/12.24 inference(superposition,[],[f16,f155])). 83.49/12.24 tff(f155,plain,( 83.49/12.24 $sum(sF16,3) = sF17 | ~spl19_17), 83.49/12.24 inference(avatar_component_clause,[],[f154])). 83.49/12.24 tff(f154,plain,( 83.49/12.24 spl19_17 <=> $sum(sF16,3) = sF17), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_17])])). 83.49/12.24 tff(f331,plain,( 83.49/12.24 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,$sum(X1,X2)),$sum(X3,X2)) | ~$less($sum(X0,X1),X3)) )), 83.49/12.24 inference(superposition,[],[f23,f16])). 83.49/12.24 tff(f23,plain,( 83.49/12.24 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )), 83.49/12.24 introduced(theory_axiom_153,[])). 83.49/12.24 tff(f440249,plain,( 83.49/12.24 ~$less(sF17,sF15) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_11 | ~spl19_12 | ~spl19_14 | ~spl19_15 | ~spl19_16 | ~spl19_17 | ~spl19_20 | ~spl19_97 | ~spl19_100 | spl19_237 | ~spl19_872 | spl19_1162)), 83.49/12.24 inference(resolution,[],[f430082,f396831])). 83.49/12.24 tff(f396831,plain,( 83.49/12.24 $less(cardinality(sF12),sF17) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_12 | ~spl19_14 | ~spl19_15 | ~spl19_17 | ~spl19_20 | ~spl19_97 | spl19_237 | spl19_1162)), 83.49/12.24 inference(forward_demodulation,[],[f396459,f378083])). 83.49/12.24 tff(f378083,plain,( 83.49/12.24 cardinality(sF12) = $sum(1,cardinality(sF10)) | (~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_97 | spl19_237 | spl19_1162)), 83.49/12.24 inference(superposition,[],[f377669,f15])). 83.49/12.24 tff(f396459,plain,( 83.49/12.24 $less($sum(1,cardinality(sF10)),sF17) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(superposition,[],[f13848,f395625])). 83.49/12.24 tff(f395625,plain,( 83.49/12.24 sF17 = $sum(cardinality(sF10),2) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(evaluation,[],[f395562])). 83.49/12.24 tff(f395562,plain,( 83.49/12.24 sF17 = $sum(cardinality(sF10),$uminus(-2)) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(superposition,[],[f12171,f394449])). 83.49/12.24 tff(f394449,plain,( 83.49/12.24 cardinality(sF10) = $sum(-2,sF17) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(subsumption_resolution,[],[f394448,f393375])). 83.49/12.24 tff(f393375,plain,( 83.49/12.24 ~$less($sum(-2,sF17),cardinality(sF10)) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(evaluation,[],[f393362])). 83.49/12.24 tff(f393362,plain,( 83.49/12.24 ~$less($sum($sum(-3,sF17),1),cardinality(sF10)) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(resolution,[],[f373429,f223])). 83.49/12.24 tff(f373429,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less($sum(-3,sF17),X0) | ~$less(X0,cardinality(sF10))) ) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(forward_demodulation,[],[f373407,f15])). 83.49/12.24 tff(f373407,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,cardinality(sF10)) | ~$less($sum(sF17,-3),X0)) ) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(evaluation,[],[f373300])). 83.49/12.24 tff(f373300,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less($sum(sF17,$uminus(3)),$sum(X0,0)) | ~$less(X0,cardinality(sF10))) ) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(superposition,[],[f371354,f19])). 83.49/12.24 tff(f371354,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : (~$less($sum(sF17,X1),$sum(X0,$sum(3,X1))) | ~$less(X0,cardinality(sF10))) ) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(forward_demodulation,[],[f370964,f366662])). 83.49/12.24 tff(f370964,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : (~$less(X0,$sum(1,sF16)) | ~$less($sum(sF17,X1),$sum(X0,$sum(3,X1)))) ) | ~spl19_17), 83.49/12.24 inference(resolution,[],[f323935,f229])). 83.49/12.24 tff(f323935,plain,( 83.49/12.24 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X1,$sum(3,X0)),$sum(X2,$sum(sF17,X0))) | ~$less(X1,$sum(X2,sF16))) ) | ~spl19_17), 83.49/12.24 inference(superposition,[],[f330,f325])). 83.49/12.24 tff(f330,plain,( 83.49/12.24 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less($sum(X3,X2),$sum(X0,$sum(X1,X2))) | ~$less(X3,$sum(X0,X1))) )), 83.49/12.24 inference(superposition,[],[f23,f16])). 83.49/12.24 tff(f394448,plain,( 83.49/12.24 cardinality(sF10) = $sum(-2,sF17) | $less($sum(-2,sF17),cardinality(sF10)) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(resolution,[],[f394041,f22])). 83.49/12.24 tff(f394041,plain,( 83.49/12.24 ~$less(cardinality(sF10),$sum(-2,sF17)) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(resolution,[],[f374839,f20])). 83.49/12.24 tff(f374839,plain,( 83.49/12.24 ( ! [X0 : $int] : ($less($sum(-2,sF17),X0) | ~$less(cardinality(sF10),X0)) ) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(evaluation,[],[f374736])). 83.49/12.24 tff(f374736,plain,( 83.49/12.24 ( ! [X0 : $int] : ($less($sum(1,$sum(sF17,$uminus(3))),$sum(X0,0)) | ~$less(cardinality(sF10),X0)) ) | (spl19_2 | ~spl19_3 | ~spl19_8 | ~spl19_12 | ~spl19_14 | ~spl19_17 | ~spl19_20)), 83.49/12.24 inference(superposition,[],[f373795,f19])). 83.49/12.24 tff(f12171,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($sum($sum(X1,X0),$uminus(X1)) = X0) )), 83.49/12.24 inference(superposition,[],[f713,f712])). 83.49/12.24 tff(f712,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($uminus(X1) = $sum(X0,$uminus($sum(X1,X0)))) )), 83.49/12.24 inference(superposition,[],[f340,f18])). 83.49/12.24 tff(f18,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )), 83.49/12.24 introduced(theory_axiom_147,[])). 83.49/12.24 tff(f713,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,$uminus(X0))) = X1) )), 83.49/12.24 inference(superposition,[],[f340,f15])). 83.49/12.24 tff(f13848,plain,( 83.49/12.24 ( ! [X0 : $int] : ($less($sum(1,X0),$sum(X0,2))) )), 83.49/12.24 inference(superposition,[],[f12815,f15])). 83.49/12.24 tff(f12815,plain,( 83.49/12.24 ( ! [X0 : $int] : ($less($sum(1,X0),$sum(2,X0))) )), 83.49/12.24 inference(evaluation,[],[f12793])). 83.49/12.24 tff(f12793,plain,( 83.49/12.24 ( ! [X0 : $int] : ($less($sum(1,X0),$sum($sum(X0,1),1))) )), 83.49/12.24 inference(resolution,[],[f11941,f337])). 83.49/12.24 tff(f337,plain,( 83.49/12.24 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X2,$sum(X0,$sum(X1,1))) | $less($sum(X0,X1),X2)) )), 83.49/12.24 inference(superposition,[],[f24,f16])). 83.49/12.24 tff(f11941,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less($sum(X0,1),$sum(1,X0))) )), 83.49/12.24 inference(resolution,[],[f335,f229])). 83.49/12.24 tff(f335,plain,( 83.49/12.24 ( ! [X0 : $int,X1 : $int] : ($less($sum(X0,X1),$sum(X0,$sum(X1,1)))) )), 83.49/12.24 inference(superposition,[],[f223,f16])). 83.49/12.24 tff(f430082,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(cardinality(sF12),X0) | ~$less(X0,sF15)) ) | (~spl19_11 | ~spl19_16 | ~spl19_100 | ~spl19_872)), 83.49/12.24 inference(superposition,[],[f26,f430070])). 83.49/12.24 tff(f342061,plain,( 83.49/12.24 spl19_151 | spl19_1199 | ~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f342013,f158,f118,f114,f106,f341056,f52383])). 83.49/12.24 tff(f52383,plain,( 83.49/12.24 spl19_151 <=> empty_set = intersection(sF8,sF9)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_151])])). 83.49/12.24 tff(f341056,plain,( 83.49/12.24 spl19_1199 <=> ! [X0 : set] : member(sK1,union(sK2,X0))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1199])])). 83.49/12.24 tff(f106,plain,( 83.49/12.24 spl19_5 <=> subset(sF9,sK5)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_5])])). 83.49/12.24 tff(f114,plain,( 83.49/12.24 spl19_7 <=> subset(sF18,sK2)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_7])])). 83.49/12.24 tff(f342013,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = intersection(sF8,sF9) | member(sK1,union(sK2,X0))) ) | (~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f341908,f119])). 83.49/12.24 tff(f341908,plain,( 83.49/12.24 ( ! [X0 : element,X1 : set] : (empty_set = intersection(singleton(X0),sF9) | member(X0,union(sK2,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f341902])). 83.49/12.24 tff(f341902,plain,( 83.49/12.24 ( ! [X0 : element,X1 : set] : (member(X0,union(sK2,X1)) | empty_set = intersection(singleton(X0),sF9) | empty_set = intersection(singleton(X0),sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f338303,f4842])). 83.49/12.24 tff(f4842,plain,( 83.49/12.24 ( ! [X0 : element,X1 : set] : (sK0(intersection(singleton(X0),X1)) = X0 | intersection(singleton(X0),X1) = empty_set) )), 83.49/12.24 inference(resolution,[],[f233,f52])). 83.49/12.24 tff(f338303,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (member(sK0(intersection(X0,sF9)),union(sK2,X1)) | empty_set = intersection(X0,sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f338184,f59])). 83.49/12.24 tff(f338184,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,intersection(X0,sF9)) | member(X2,union(sK2,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f338174,f162])). 83.49/12.24 tff(f338174,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,intersection(X0,sF9)) | member(X2,empty_set) | member(X2,union(sK2,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f61,f336997])). 83.49/12.24 tff(f336997,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set = difference(intersection(X0,sF9),union(sK2,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f336987])). 83.49/12.24 tff(f336987,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set = difference(intersection(X0,sF9),union(sK2,X1)) | empty_set = difference(intersection(X0,sF9),union(sK2,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f170289,f4988])). 83.49/12.24 tff(f4988,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : set] : (member(sK0(difference(intersection(X0,X1),X2)),X1) | empty_set = difference(intersection(X0,X1),X2)) )), 83.49/12.24 inference(resolution,[],[f245,f48])). 83.49/12.24 tff(f245,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (member(sK0(difference(X0,X1)),X0) | empty_set = difference(X0,X1)) )), 83.49/12.24 inference(resolution,[],[f62,f59])). 83.49/12.24 tff(f62,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,difference(X1,X0)) | member(X2,X1)) )), 83.49/12.24 inference(cnf_transformation,[],[f33])). 83.49/12.24 tff(f170289,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK0(difference(X0,union(sK2,X1))),sF9) | empty_set = difference(X0,union(sK2,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f169134,f246])). 83.49/12.24 tff(f246,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK0(difference(X0,X1)),X1) | empty_set = difference(X0,X1)) )), 83.49/12.24 inference(resolution,[],[f63,f59])). 83.49/12.24 tff(f63,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,difference(X1,X0)) | ~member(X2,X0)) )), 83.49/12.24 inference(cnf_transformation,[],[f33])). 83.49/12.24 tff(f169134,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (member(X1,union(sK2,X0)) | ~member(X1,sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f169043,f162])). 83.49/12.24 tff(f169043,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (member(X1,union(sK2,X0)) | member(X1,empty_set) | ~member(X1,sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f61,f168366])). 83.49/12.24 tff(f168366,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(sF9,union(sK2,X0))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f168135])). 83.49/12.24 tff(f168135,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(sF9,union(sK2,X0)) | empty_set = difference(sF9,union(sK2,X0))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f5056,f5049])). 83.49/12.24 tff(f5049,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(difference(sF9,X0)),sK2) | empty_set = difference(sF9,X0)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f5040,f272])). 83.49/12.24 tff(f272,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF18) | member(X0,sK2)) ) | ~spl19_7), 83.49/12.24 inference(resolution,[],[f56,f115])). 83.49/12.24 tff(f115,plain,( 83.49/12.24 subset(sF18,sK2) | ~spl19_7), 83.49/12.24 inference(avatar_component_clause,[],[f114])). 83.49/12.24 tff(f5040,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(difference(sF9,X0)),sF18) | empty_set = difference(sF9,X0)) ) | (~spl19_5 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f4999,f243])). 83.49/12.24 tff(f243,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sK5) | member(X0,sF18)) ) | ~spl19_18), 83.49/12.24 inference(superposition,[],[f54,f159])). 83.49/12.24 tff(f54,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : element] : (member(X1,union(X0,X2)) | ~member(X1,X0)) )), 83.49/12.24 inference(cnf_transformation,[],[f28])). 83.49/12.24 tff(f4999,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(difference(sF9,X0)),sK5) | empty_set = difference(sF9,X0)) ) | ~spl19_5), 83.49/12.24 inference(resolution,[],[f245,f271])). 83.49/12.24 tff(f271,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sK5)) ) | ~spl19_5), 83.49/12.24 inference(resolution,[],[f56,f107])). 83.49/12.24 tff(f107,plain,( 83.49/12.24 subset(sF9,sK5) | ~spl19_5), 83.49/12.24 inference(avatar_component_clause,[],[f106])). 83.49/12.24 tff(f5056,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : set] : (~member(sK0(difference(X0,union(X1,X2))),X1) | empty_set = difference(X0,union(X1,X2))) )), 83.49/12.24 inference(resolution,[],[f246,f54])). 83.49/12.24 tff(f342011,plain,( 83.49/12.24 spl19_1199 | spl19_151 | ~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f341907,f158,f118,f114,f106,f52383,f341056])). 83.49/12.24 tff(f341907,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = intersection(sF8,sF9) | member(sK1,union(sK2,X0))) ) | (~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f341899])). 83.49/12.24 tff(f341899,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = intersection(sF8,sF9) | member(sK1,union(sK2,X0)) | empty_set = intersection(sF8,sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f338303,f4851])). 83.49/12.24 tff(f4851,plain,( 83.49/12.24 ( ! [X0 : set] : (sK1 = sK0(intersection(sF8,X0)) | empty_set = intersection(sF8,X0)) ) | ~spl19_8), 83.49/12.24 inference(resolution,[],[f233,f204])). 83.49/12.24 tff(f204,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF8) | sK1 = X0) ) | ~spl19_8), 83.49/12.24 inference(superposition,[],[f52,f119])). 83.49/12.24 tff(f341058,plain,( 83.49/12.24 spl19_1198 | spl19_1199 | ~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f340810,f158,f118,f114,f106,f341056,f341053])). 83.49/12.24 tff(f341053,plain,( 83.49/12.24 spl19_1198 <=> empty_set = intersection(sF9,sF8)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1198])])). 83.49/12.24 tff(f340810,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK1,union(sK2,X0)) | empty_set = intersection(sF9,sF8)) ) | (~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f340804])). 83.49/12.24 tff(f340804,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = intersection(sF9,sF8) | empty_set = intersection(sF9,sF8) | member(sK1,union(sK2,X0))) ) | (~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f338265,f4907])). 83.49/12.24 tff(f4907,plain,( 83.49/12.24 ( ! [X0 : set] : (sK1 = sK0(intersection(X0,sF8)) | empty_set = intersection(X0,sF8)) ) | ~spl19_8), 83.49/12.24 inference(resolution,[],[f234,f204])). 83.49/12.24 tff(f338265,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (member(sK0(intersection(sF9,X0)),union(sK2,X1)) | empty_set = intersection(sF9,X0)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f337056,f59])). 83.49/12.24 tff(f337056,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,intersection(sF9,X0)) | member(X2,union(sK2,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f337046,f162])). 83.49/12.24 tff(f337046,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (member(X2,empty_set) | ~member(X2,intersection(sF9,X0)) | member(X2,union(sK2,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f61,f336994])). 83.49/12.24 tff(f336994,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set = difference(intersection(sF9,X0),union(sK2,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f336985])). 83.49/12.24 tff(f336985,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set = difference(intersection(sF9,X0),union(sK2,X1)) | empty_set = difference(intersection(sF9,X0),union(sK2,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f170289,f4989])). 83.49/12.24 tff(f4989,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : set] : (member(sK0(difference(intersection(X0,X1),X2)),X0) | empty_set = difference(intersection(X0,X1),X2)) )), 83.49/12.24 inference(resolution,[],[f245,f47])). 83.49/12.24 tff(f340522,plain,( 83.49/12.24 spl19_1197 | ~spl19_1196), 83.49/12.24 inference(avatar_split_clause,[],[f340514,f339363,f340520])). 83.49/12.24 tff(f340520,plain,( 83.49/12.24 spl19_1197 <=> $less(-27,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1197])])). 83.49/12.24 tff(f339363,plain,( 83.49/12.24 spl19_1196 <=> $less(-26,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1196])])). 83.49/12.24 tff(f340514,plain,( 83.49/12.24 $less(-27,sF15) | ~spl19_1196), 83.49/12.24 inference(evaluation,[],[f340486])). 83.49/12.24 tff(f340486,plain,( 83.49/12.24 $less($sum(-26,-1),sF15) | ~spl19_1196), 83.49/12.24 inference(resolution,[],[f340479,f867])). 83.49/12.24 tff(f867,plain,( 83.49/12.24 ( ! [X0 : $int] : ($less($sum(X0,-1),X0)) )), 83.49/12.24 inference(superposition,[],[f729,f15])). 83.49/12.24 tff(f729,plain,( 83.49/12.24 ( ! [X0 : $int] : ($less($sum(-1,X0),X0)) )), 83.49/12.24 inference(evaluation,[],[f726])). 83.49/12.24 tff(f726,plain,( 83.49/12.24 ( ! [X0 : $int] : ($less($sum($uminus(1),X0),X0)) )), 83.49/12.24 inference(superposition,[],[f248,f340])). 83.49/12.24 tff(f248,plain,( 83.49/12.24 ( ! [X0 : $int] : ($less(X0,$sum(1,X0))) )), 83.49/12.24 inference(superposition,[],[f223,f15])). 83.49/12.24 tff(f340479,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-26) | $less(X0,sF15)) ) | ~spl19_1196), 83.49/12.24 inference(resolution,[],[f339364,f21])). 83.49/12.24 tff(f21,plain,( 83.49/12.24 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | $less(X0,X2) | ~$less(X0,X1)) )), 83.49/12.24 introduced(theory_axiom_151,[])). 83.49/12.24 tff(f339364,plain,( 83.49/12.24 $less(-26,sF15) | ~spl19_1196), 83.49/12.24 inference(avatar_component_clause,[],[f339363])). 83.49/12.24 tff(f339365,plain,( 83.49/12.24 spl19_1196 | ~spl19_1195), 83.49/12.24 inference(avatar_split_clause,[],[f339119,f338225,f339363])). 83.49/12.24 tff(f338225,plain,( 83.49/12.24 spl19_1195 <=> $less(-25,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1195])])). 83.49/12.24 tff(f339119,plain,( 83.49/12.24 $less(-26,sF15) | ~spl19_1195), 83.49/12.24 inference(evaluation,[],[f339091])). 83.49/12.24 tff(f339091,plain,( 83.49/12.24 $less($sum(-25,-1),sF15) | ~spl19_1195), 83.49/12.24 inference(resolution,[],[f339069,f867])). 83.49/12.24 tff(f339069,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-25) | $less(X0,sF15)) ) | ~spl19_1195), 83.49/12.24 inference(resolution,[],[f338226,f21])). 83.49/12.24 tff(f338226,plain,( 83.49/12.24 $less(-25,sF15) | ~spl19_1195), 83.49/12.24 inference(avatar_component_clause,[],[f338225])). 83.49/12.24 tff(f338227,plain,( 83.49/12.24 spl19_1195 | ~spl19_1194), 83.49/12.24 inference(avatar_split_clause,[],[f338219,f336980,f338225])). 83.49/12.24 tff(f336980,plain,( 83.49/12.24 spl19_1194 <=> $less(-24,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1194])])). 83.49/12.24 tff(f338219,plain,( 83.49/12.24 $less(-25,sF15) | ~spl19_1194), 83.49/12.24 inference(evaluation,[],[f338210])). 83.49/12.24 tff(f338210,plain,( 83.49/12.24 $less($sum(-1,-24),sF15) | ~spl19_1194), 83.49/12.24 inference(resolution,[],[f337059,f729])). 83.49/12.24 tff(f337059,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-24) | $less(X0,sF15)) ) | ~spl19_1194), 83.49/12.24 inference(resolution,[],[f336981,f21])). 83.49/12.24 tff(f336981,plain,( 83.49/12.24 $less(-24,sF15) | ~spl19_1194), 83.49/12.24 inference(avatar_component_clause,[],[f336980])). 83.49/12.24 tff(f336982,plain,( 83.49/12.24 spl19_1194 | ~spl19_1193), 83.49/12.24 inference(avatar_split_clause,[],[f336931,f336450,f336980])). 83.49/12.24 tff(f336450,plain,( 83.49/12.24 spl19_1193 <=> $less(-23,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1193])])). 83.49/12.24 tff(f336931,plain,( 83.49/12.24 $less(-24,sF15) | ~spl19_1193), 83.49/12.24 inference(evaluation,[],[f336903])). 83.49/12.24 tff(f336903,plain,( 83.49/12.24 $less($sum(-23,-1),sF15) | ~spl19_1193), 83.49/12.24 inference(resolution,[],[f336699,f867])). 83.49/12.24 tff(f336699,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-23) | $less(X0,sF15)) ) | ~spl19_1193), 83.49/12.24 inference(resolution,[],[f336451,f21])). 83.49/12.24 tff(f336451,plain,( 83.49/12.24 $less(-23,sF15) | ~spl19_1193), 83.49/12.24 inference(avatar_component_clause,[],[f336450])). 83.49/12.24 tff(f336978,plain,( 83.49/12.24 spl19_739 | ~spl19_92 | ~spl19_747), 83.49/12.24 inference(avatar_split_clause,[],[f211707,f209869,f5066,f204101])). 83.49/12.24 tff(f204101,plain,( 83.49/12.24 spl19_739 <=> member(sK0(union(union(sF8,sF9),empty_set)),sK2)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_739])])). 83.49/12.24 tff(f5066,plain,( 83.49/12.24 spl19_92 <=> empty_set = difference(sF9,sK2)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_92])])). 83.49/12.24 tff(f209869,plain,( 83.49/12.24 spl19_747 <=> member(sK0(union(union(sF8,sF9),empty_set)),sF9)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_747])])). 83.49/12.24 tff(f211707,plain,( 83.49/12.24 member(sK0(union(union(sF8,sF9),empty_set)),sK2) | (~spl19_92 | ~spl19_747)), 83.49/12.24 inference(resolution,[],[f209870,f5553])). 83.49/12.24 tff(f5553,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sK2)) ) | ~spl19_92), 83.49/12.24 inference(subsumption_resolution,[],[f5550,f162])). 83.49/12.24 tff(f5550,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF9) | member(X0,sK2)) ) | ~spl19_92), 83.49/12.24 inference(superposition,[],[f61,f5067])). 83.49/12.24 tff(f5067,plain,( 83.49/12.24 empty_set = difference(sF9,sK2) | ~spl19_92), 83.49/12.24 inference(avatar_component_clause,[],[f5066])). 83.49/12.24 tff(f209870,plain,( 83.49/12.24 member(sK0(union(union(sF8,sF9),empty_set)),sF9) | ~spl19_747), 83.49/12.24 inference(avatar_component_clause,[],[f209869])). 83.49/12.24 tff(f336838,plain,( 83.49/12.24 spl19_737 | ~spl19_95 | ~spl19_747), 83.49/12.24 inference(avatar_split_clause,[],[f211706,f209869,f5373,f203728])). 83.49/12.24 tff(f203728,plain,( 83.49/12.24 spl19_737 <=> member(sK0(union(union(sF8,sF9),empty_set)),sF18)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_737])])). 83.49/12.24 tff(f5373,plain,( 83.49/12.24 spl19_95 <=> empty_set = difference(sF9,sF18)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_95])])). 83.49/12.24 tff(f211706,plain,( 83.49/12.24 member(sK0(union(union(sF8,sF9),empty_set)),sF18) | (~spl19_95 | ~spl19_747)), 83.49/12.24 inference(resolution,[],[f209870,f5437])). 83.49/12.24 tff(f5437,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF18)) ) | ~spl19_95), 83.49/12.24 inference(subsumption_resolution,[],[f5434,f162])). 83.49/12.24 tff(f5434,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,empty_set) | member(X0,sF18) | ~member(X0,sF9)) ) | ~spl19_95), 83.49/12.24 inference(superposition,[],[f61,f5374])). 83.49/12.24 tff(f5374,plain,( 83.49/12.24 empty_set = difference(sF9,sF18) | ~spl19_95), 83.49/12.24 inference(avatar_component_clause,[],[f5373])). 83.49/12.24 tff(f336453,plain,( 83.49/12.24 spl19_738 | ~spl19_5 | ~spl19_747), 83.49/12.24 inference(avatar_split_clause,[],[f211704,f209869,f106,f204097])). 83.49/12.24 tff(f204097,plain,( 83.49/12.24 spl19_738 <=> member(sK0(union(union(sF8,sF9),empty_set)),sK5)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_738])])). 83.49/12.24 tff(f211704,plain,( 83.49/12.24 member(sK0(union(union(sF8,sF9),empty_set)),sK5) | (~spl19_5 | ~spl19_747)), 83.49/12.24 inference(resolution,[],[f209870,f271])). 83.49/12.24 tff(f336452,plain,( 83.49/12.24 spl19_1193 | ~spl19_1192), 83.49/12.24 inference(avatar_split_clause,[],[f336444,f336109,f336450])). 83.49/12.24 tff(f336109,plain,( 83.49/12.24 spl19_1192 <=> $less(-22,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1192])])). 83.49/12.24 tff(f336444,plain,( 83.49/12.24 $less(-23,sF15) | ~spl19_1192), 83.49/12.24 inference(evaluation,[],[f336435])). 83.49/12.24 tff(f336435,plain,( 83.49/12.24 $less($sum(-1,-22),sF15) | ~spl19_1192), 83.49/12.24 inference(resolution,[],[f336348,f729])). 83.49/12.24 tff(f336348,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-22) | $less(X0,sF15)) ) | ~spl19_1192), 83.49/12.24 inference(resolution,[],[f336110,f21])). 83.49/12.24 tff(f336110,plain,( 83.49/12.24 $less(-22,sF15) | ~spl19_1192), 83.49/12.24 inference(avatar_component_clause,[],[f336109])). 83.49/12.24 tff(f336111,plain,( 83.49/12.24 spl19_1192 | ~spl19_1191), 83.49/12.24 inference(avatar_split_clause,[],[f335993,f335455,f336109])). 83.49/12.24 tff(f335455,plain,( 83.49/12.24 spl19_1191 <=> $less(-21,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1191])])). 83.49/12.24 tff(f335993,plain,( 83.49/12.24 $less(-22,sF15) | ~spl19_1191), 83.49/12.24 inference(evaluation,[],[f335965])). 83.49/12.24 tff(f335965,plain,( 83.49/12.24 $less($sum(-21,-1),sF15) | ~spl19_1191), 83.49/12.24 inference(resolution,[],[f335892,f867])). 83.49/12.24 tff(f335892,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-21) | $less(X0,sF15)) ) | ~spl19_1191), 83.49/12.24 inference(resolution,[],[f335456,f21])). 83.49/12.24 tff(f335456,plain,( 83.49/12.24 $less(-21,sF15) | ~spl19_1191), 83.49/12.24 inference(avatar_component_clause,[],[f335455])). 83.49/12.24 tff(f335924,plain,( 83.49/12.24 spl19_1131 | spl19_1096 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f326677,f158,f126,f114,f106,f320407,f326373])). 83.49/12.24 tff(f326373,plain,( 83.49/12.24 spl19_1131 <=> ! [X0 : set] : ~member(sK7,intersection(sF9,X0))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1131])])). 83.49/12.24 tff(f320407,plain,( 83.49/12.24 spl19_1096 <=> empty_set = difference(sF13,sK2)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1096])])). 83.49/12.24 tff(f126,plain,( 83.49/12.24 spl19_10 <=> singleton(sK7) = sF13), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_10])])). 83.49/12.24 tff(f326677,plain,( 83.49/12.24 ( ! [X0 : set] : (~member(sK7,intersection(sF9,X0)) | empty_set = difference(sF13,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f325972,f127])). 83.49/12.24 tff(f127,plain,( 83.49/12.24 singleton(sK7) = sF13 | ~spl19_10), 83.49/12.24 inference(avatar_component_clause,[],[f126])). 83.49/12.24 tff(f325972,plain,( 83.49/12.24 ( ! [X0 : element,X1 : set] : (empty_set = difference(singleton(X0),sK2) | ~member(X0,intersection(sF9,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f325949])). 83.49/12.24 tff(f325949,plain,( 83.49/12.24 ( ! [X0 : element,X1 : set] : (~member(X0,intersection(sF9,X1)) | empty_set = difference(singleton(X0),sK2) | empty_set = difference(singleton(X0),sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f323223,f4987])). 83.49/12.24 tff(f4987,plain,( 83.49/12.24 ( ! [X0 : element,X1 : set] : (sK0(difference(singleton(X0),X1)) = X0 | empty_set = difference(singleton(X0),X1)) )), 83.49/12.24 inference(resolution,[],[f245,f52])). 83.49/12.24 tff(f323223,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK0(difference(X0,sK2)),intersection(sF9,X1)) | empty_set = difference(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f323065,f59])). 83.49/12.24 tff(f323065,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,difference(X0,sK2)) | ~member(X2,intersection(sF9,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f323053,f162])). 83.49/12.24 tff(f323053,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,difference(X0,sK2)) | member(X2,empty_set) | ~member(X2,intersection(sF9,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f46,f322848])). 83.49/12.24 tff(f322848,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set = intersection(difference(X0,sK2),intersection(sF9,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f322819])). 83.49/12.24 tff(f322819,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set = intersection(difference(X0,sK2),intersection(sF9,X1)) | empty_set = intersection(difference(X0,sK2),intersection(sF9,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f161718,f4900])). 83.49/12.24 tff(f4900,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : set] : (member(sK0(intersection(X0,intersection(X1,X2))),X1) | empty_set = intersection(X0,intersection(X1,X2))) )), 83.49/12.24 inference(resolution,[],[f234,f47])). 83.49/12.24 tff(f161718,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK0(intersection(difference(X0,sK2),X1)),sF9) | empty_set = intersection(difference(X0,sK2),X1)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f161226,f233])). 83.49/12.24 tff(f161226,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (~member(X1,difference(X0,sK2)) | ~member(X1,sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f161108,f162])). 83.49/12.24 tff(f161108,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (~member(X1,difference(X0,sK2)) | ~member(X1,sF9) | member(X1,empty_set)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f46,f160984])). 83.49/12.24 tff(f160984,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = intersection(difference(X0,sK2),sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f160854])). 83.49/12.24 tff(f160854,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = intersection(difference(X0,sK2),sF9) | empty_set = intersection(difference(X0,sK2),sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f4846,f4955])). 83.49/12.24 tff(f4955,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(X0,sF9)),sK2) | empty_set = intersection(X0,sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f4951,f272])). 83.49/12.24 tff(f4951,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(X0,sF9)),sF18) | empty_set = intersection(X0,sF9)) ) | (~spl19_5 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f4910,f243])). 83.49/12.24 tff(f4910,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(X0,sF9)),sK5) | empty_set = intersection(X0,sF9)) ) | ~spl19_5), 83.49/12.24 inference(resolution,[],[f234,f271])). 83.49/12.24 tff(f4846,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : set] : (~member(sK0(intersection(difference(X0,X1),X2)),X1) | empty_set = intersection(difference(X0,X1),X2)) )), 83.49/12.24 inference(resolution,[],[f233,f63])). 83.49/12.24 tff(f335923,plain,( 83.49/12.24 spl19_1127 | spl19_1096 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f325831,f158,f126,f114,f106,f320407,f325584])). 83.49/12.24 tff(f325584,plain,( 83.49/12.24 spl19_1127 <=> ! [X0 : set] : ~member(sK7,intersection(X0,sF9))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1127])])). 83.49/12.24 tff(f325831,plain,( 83.49/12.24 ( ! [X0 : set] : (~member(sK7,intersection(X0,sF9)) | empty_set = difference(sF13,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f325221,f127])). 83.49/12.24 tff(f325221,plain,( 83.49/12.24 ( ! [X0 : element,X1 : set] : (empty_set = difference(singleton(X0),sK2) | ~member(X0,intersection(X1,sF9))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f325201])). 83.49/12.24 tff(f325201,plain,( 83.49/12.24 ( ! [X0 : element,X1 : set] : (empty_set = difference(singleton(X0),sK2) | empty_set = difference(singleton(X0),sK2) | ~member(X0,intersection(X1,sF9))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f323175,f4987])). 83.49/12.24 tff(f323175,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK0(difference(X0,sK2)),intersection(X1,sF9)) | empty_set = difference(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f323016,f59])). 83.49/12.24 tff(f323016,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,difference(X0,sK2)) | ~member(X2,intersection(X1,sF9))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f323004,f162])). 83.49/12.24 tff(f323004,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (member(X2,empty_set) | ~member(X2,intersection(X1,sF9)) | ~member(X2,difference(X0,sK2))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f46,f322847])). 83.49/12.24 tff(f322847,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set = intersection(difference(X0,sK2),intersection(X1,sF9))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f322821])). 83.49/12.24 tff(f322821,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set = intersection(difference(X0,sK2),intersection(X1,sF9)) | empty_set = intersection(difference(X0,sK2),intersection(X1,sF9))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f161718,f4899])). 83.49/12.24 tff(f4899,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : set] : (member(sK0(intersection(X0,intersection(X1,X2))),X2) | empty_set = intersection(X0,intersection(X1,X2))) )), 83.49/12.24 inference(resolution,[],[f234,f48])). 83.49/12.24 tff(f335920,plain,( 83.49/12.24 spl19_1 | ~spl19_25 | ~spl19_1097), 83.49/12.24 inference(avatar_contradiction_clause,[],[f335919])). 83.49/12.24 tff(f335919,plain,( 83.49/12.24 $false | (spl19_1 | ~spl19_25 | ~spl19_1097)), 83.49/12.24 inference(subsumption_resolution,[],[f335918,f91])). 83.49/12.24 tff(f335918,plain,( 83.49/12.24 member(sK7,sK2) | (~spl19_25 | ~spl19_1097)), 83.49/12.24 inference(resolution,[],[f320426,f217])). 83.49/12.24 tff(f217,plain,( 83.49/12.24 member(sK7,sF13) | ~spl19_25), 83.49/12.24 inference(avatar_component_clause,[],[f216])). 83.49/12.24 tff(f216,plain,( 83.49/12.24 spl19_25 <=> member(sK7,sF13)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_25])])). 83.49/12.24 tff(f320426,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF13) | member(X0,sK2)) ) | ~spl19_1097), 83.49/12.24 inference(avatar_component_clause,[],[f320425])). 83.49/12.24 tff(f320425,plain,( 83.49/12.24 spl19_1097 <=> ! [X0 : element] : (member(X0,sK2) | ~member(X0,sF13))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1097])])). 83.49/12.24 tff(f335889,plain,( 83.49/12.24 spl19_1097 | ~spl19_1096), 83.49/12.24 inference(avatar_split_clause,[],[f335443,f320407,f320425])). 83.49/12.24 tff(f335443,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,sK2) | ~member(X0,sF13)) ) | ~spl19_1096), 83.49/12.24 inference(subsumption_resolution,[],[f335419,f162])). 83.49/12.24 tff(f335419,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF13) | member(X0,sK2) | member(X0,empty_set)) ) | ~spl19_1096), 83.49/12.24 inference(superposition,[],[f61,f320408])). 83.49/12.24 tff(f320408,plain,( 83.49/12.24 empty_set = difference(sF13,sK2) | ~spl19_1096), 83.49/12.24 inference(avatar_component_clause,[],[f320407])). 83.49/12.24 tff(f335457,plain,( 83.49/12.24 spl19_1191 | ~spl19_1188), 83.49/12.24 inference(avatar_split_clause,[],[f335279,f333066,f335455])). 83.49/12.24 tff(f333066,plain,( 83.49/12.24 spl19_1188 <=> $less(-20,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1188])])). 83.49/12.24 tff(f335279,plain,( 83.49/12.24 $less(-21,sF15) | ~spl19_1188), 83.49/12.24 inference(evaluation,[],[f335270])). 83.49/12.24 tff(f335270,plain,( 83.49/12.24 $less($sum(-1,-20),sF15) | ~spl19_1188), 83.49/12.24 inference(resolution,[],[f334390,f729])). 83.49/12.24 tff(f334390,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-20) | $less(X0,sF15)) ) | ~spl19_1188), 83.49/12.24 inference(resolution,[],[f333067,f21])). 83.49/12.24 tff(f333067,plain,( 83.49/12.24 $less(-20,sF15) | ~spl19_1188), 83.49/12.24 inference(avatar_component_clause,[],[f333066])). 83.49/12.24 tff(f335353,plain,( 83.49/12.24 spl19_1189 | spl19_1190 | ~spl19_5 | ~spl19_8 | ~spl19_13 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f335242,f158,f138,f118,f106,f335351,f335348])). 83.49/12.24 tff(f335348,plain,( 83.49/12.24 spl19_1189 <=> ! [X0 : set] : empty_set = difference(sF8,X0)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1189])])). 83.49/12.24 tff(f335351,plain,( 83.49/12.24 spl19_1190 <=> ! [X1 : set] : ~member(sK1,difference(X1,sF18))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1190])])). 83.49/12.24 tff(f335242,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK1,difference(X1,sF18)) | empty_set = difference(sF8,X0)) ) | (~spl19_5 | ~spl19_8 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f335228])). 83.49/12.24 tff(f335228,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK1,difference(X1,sF18)) | empty_set = difference(sF8,X0) | empty_set = difference(sF8,X0)) ) | (~spl19_5 | ~spl19_8 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f333226,f4996])). 83.49/12.24 tff(f4996,plain,( 83.49/12.24 ( ! [X0 : set] : (sK1 = sK0(difference(sF8,X0)) | empty_set = difference(sF8,X0)) ) | ~spl19_8), 83.49/12.24 inference(resolution,[],[f245,f204])). 83.49/12.24 tff(f333226,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK0(difference(sF8,X0)),difference(X1,sF18)) | empty_set = difference(sF8,X0)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f333138,f59])). 83.49/12.24 tff(f333138,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,difference(sF8,X1)) | ~member(X2,difference(X0,sF18))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f333126,f162])). 83.49/12.24 tff(f333126,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,difference(X0,sF18)) | member(X2,empty_set) | ~member(X2,difference(sF8,X1))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f46,f333092])). 83.49/12.24 tff(f333092,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set = intersection(difference(X0,sF18),difference(sF8,X1))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f333073])). 83.49/12.24 tff(f333073,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set = intersection(difference(X0,sF18),difference(sF8,X1)) | empty_set = intersection(difference(X0,sF18),difference(sF8,X1))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f161778,f4903])). 83.49/12.24 tff(f4903,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : set] : (member(sK0(intersection(X0,difference(X1,X2))),X1) | empty_set = intersection(X0,difference(X1,X2))) )), 83.49/12.24 inference(resolution,[],[f234,f62])). 83.49/12.24 tff(f161778,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK0(intersection(difference(X0,sF18),X1)),sF8) | empty_set = intersection(difference(X0,sF18),X1)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f161384,f233])). 83.49/12.24 tff(f161384,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (~member(X1,difference(X0,sF18)) | ~member(X1,sF8)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f161265,f162])). 83.49/12.24 tff(f161265,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (~member(X1,difference(X0,sF18)) | member(X1,empty_set) | ~member(X1,sF8)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f46,f160997])). 83.49/12.24 tff(f160997,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = intersection(difference(X0,sF18),sF8)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f160864])). 83.49/12.24 tff(f160864,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = intersection(difference(X0,sF18),sF8) | empty_set = intersection(difference(X0,sF18),sF8)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f4846,f66510])). 83.49/12.24 tff(f66510,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(X0,sF8)),sF18) | empty_set = intersection(X0,sF8)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f52440,f243])). 83.49/12.24 tff(f52440,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(X0,sF8)),sK5) | empty_set = intersection(X0,sF8)) ) | (~spl19_5 | ~spl19_13)), 83.49/12.24 inference(resolution,[],[f4906,f271])). 83.49/12.24 tff(f4906,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(X0,sF8)),sF9) | empty_set = intersection(X0,sF8)) ) | ~spl19_13), 83.49/12.24 inference(resolution,[],[f234,f235])). 83.49/12.24 tff(f335345,plain,( 83.49/12.24 spl19_1183 | spl19_59 | spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_60), 83.49/12.24 inference(avatar_split_clause,[],[f331683,f1019,f158,f126,f114,f106,f90,f1016,f331281])). 83.49/12.24 tff(f1016,plain,( 83.49/12.24 spl19_59 <=> empty_set = sF13), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_59])])). 83.49/12.24 tff(f1019,plain,( 83.49/12.24 spl19_60 <=> sK7 = sK0(sF13)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_60])])). 83.49/12.24 tff(f331683,plain,( 83.49/12.24 member(sK7,complement(sF9)) | empty_set = sF13 | (spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_60)), 83.49/12.24 inference(forward_demodulation,[],[f331682,f1020])). 83.49/12.24 tff(f1020,plain,( 83.49/12.24 sK7 = sK0(sF13) | ~spl19_60), 83.49/12.24 inference(avatar_component_clause,[],[f1019])). 83.49/12.24 tff(f331682,plain,( 83.49/12.24 empty_set = sF13 | member(sK0(sF13),complement(sF9)) | (spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f331679,f91])). 83.49/12.24 tff(f331679,plain,( 83.49/12.24 empty_set = sF13 | member(sK7,sK2) | member(sK0(sF13),complement(sF9)) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f331638,f127])). 83.49/12.24 tff(f331638,plain,( 83.49/12.24 ( ! [X0 : element] : (member(sK0(singleton(X0)),complement(sF9)) | singleton(X0) = empty_set | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f331594,f59])). 83.49/12.24 tff(f331594,plain,( 83.49/12.24 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X1,complement(sF9)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f331584,f162])). 83.49/12.24 tff(f331584,plain,( 83.49/12.24 ( ! [X0 : element,X1 : element] : (member(X1,complement(sF9)) | member(X1,empty_set) | member(X0,sK2) | ~member(X1,singleton(X0))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f61,f331569])). 83.49/12.24 tff(f331569,plain,( 83.49/12.24 ( ! [X0 : element] : (empty_set = difference(singleton(X0),complement(sF9)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f331567])). 83.49/12.24 tff(f331567,plain,( 83.49/12.24 ( ! [X0 : element] : (empty_set = difference(singleton(X0),complement(sF9)) | empty_set = difference(singleton(X0),complement(sF9)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f331285,f4987])). 83.49/12.24 tff(f331285,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(difference(X0,complement(sF9))),sK2) | empty_set = difference(X0,complement(sF9))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f331268,f59])). 83.49/12.24 tff(f331268,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (~member(X1,difference(X0,complement(sF9))) | member(X1,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f331250,f162])). 83.49/12.24 tff(f331250,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (member(X1,sK2) | member(X1,empty_set) | ~member(X1,difference(X0,complement(sF9)))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f61,f331073])). 83.49/12.24 tff(f331073,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(difference(X0,complement(sF9)),sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f331062])). 83.49/12.24 tff(f331062,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(difference(X0,complement(sF9)),sK2) | empty_set = difference(difference(X0,complement(sF9)),sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f330965,f4991])). 83.49/12.24 tff(f4991,plain,( 83.49/12.24 ( ! [X2 : set,X0 : set,X1 : set] : (~member(sK0(difference(difference(X0,X1),X2)),X1) | empty_set = difference(difference(X0,X1),X2)) )), 83.49/12.24 inference(resolution,[],[f245,f63])). 83.49/12.24 tff(f330965,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(difference(X0,sK2)),complement(sF9)) | empty_set = difference(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f330860,f59])). 83.49/12.24 tff(f330860,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (~member(X1,difference(X0,sK2)) | member(X1,complement(sF9))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f330850,f162])). 83.49/12.24 tff(f330850,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (~member(X1,difference(X0,sK2)) | member(X1,complement(sF9)) | member(X1,empty_set)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f61,f330773])). 83.49/12.24 tff(f330773,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(difference(X0,sK2),complement(sF9))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f330739])). 83.49/12.24 tff(f330739,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(difference(X0,sK2),complement(sF9)) | empty_set = difference(difference(X0,sK2),complement(sF9))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f161735,f5059])). 83.49/12.24 tff(f5059,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (member(sK0(difference(X0,complement(X1))),X1) | empty_set = difference(X0,complement(X1))) )), 83.49/12.24 inference(resolution,[],[f246,f57])). 83.49/12.24 tff(f57,plain,( 83.49/12.24 ( ! [X0 : element,X1 : set] : (member(X0,complement(X1)) | member(X0,X1)) )), 83.49/12.24 inference(cnf_transformation,[],[f1])). 83.49/12.24 tff(f161735,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK0(difference(difference(X0,sK2),X1)),sF9) | empty_set = difference(difference(X0,sK2),X1)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f161226,f245])). 83.49/12.24 tff(f335343,plain,( 83.49/12.24 spl19_657 | ~spl19_5 | ~spl19_676), 83.49/12.24 inference(avatar_split_clause,[],[f194743,f192663,f106,f185960])). 83.49/12.24 tff(f185960,plain,( 83.49/12.24 spl19_657 <=> member(sK0(union(union(sF9,sF9),empty_set)),sK5)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_657])])). 83.49/12.24 tff(f192663,plain,( 83.49/12.24 spl19_676 <=> member(sK0(union(union(sF9,sF9),empty_set)),sF9)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_676])])). 83.49/12.24 tff(f194743,plain,( 83.49/12.24 member(sK0(union(union(sF9,sF9),empty_set)),sK5) | (~spl19_5 | ~spl19_676)), 83.49/12.24 inference(resolution,[],[f192664,f271])). 83.49/12.24 tff(f192664,plain,( 83.49/12.24 member(sK0(union(union(sF9,sF9),empty_set)),sF9) | ~spl19_676), 83.49/12.24 inference(avatar_component_clause,[],[f192663])). 83.49/12.24 tff(f333068,plain,( 83.49/12.24 spl19_1188 | ~spl19_1187), 83.49/12.24 inference(avatar_split_clause,[],[f333056,f331665,f333066])). 83.49/12.24 tff(f331665,plain,( 83.49/12.24 spl19_1187 <=> $less(-19,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1187])])). 83.49/12.24 tff(f333056,plain,( 83.49/12.24 $less(-20,sF15) | ~spl19_1187), 83.49/12.24 inference(evaluation,[],[f333047])). 83.49/12.24 tff(f333047,plain,( 83.49/12.24 $less($sum(-1,-19),sF15) | ~spl19_1187), 83.49/12.24 inference(resolution,[],[f331686,f729])). 83.49/12.24 tff(f331686,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-19) | $less(X0,sF15)) ) | ~spl19_1187), 83.49/12.24 inference(resolution,[],[f331666,f21])). 83.49/12.24 tff(f331666,plain,( 83.49/12.24 $less(-19,sF15) | ~spl19_1187), 83.49/12.24 inference(avatar_component_clause,[],[f331665])). 83.49/12.24 tff(f331667,plain,( 83.49/12.24 spl19_1187 | ~spl19_1185), 83.49/12.24 inference(avatar_split_clause,[],[f331632,f331559,f331665])). 83.49/12.24 tff(f331559,plain,( 83.49/12.24 spl19_1185 <=> $less(-18,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1185])])). 83.49/12.24 tff(f331632,plain,( 83.49/12.24 $less(-19,sF15) | ~spl19_1185), 83.49/12.24 inference(evaluation,[],[f331604])). 83.49/12.24 tff(f331604,plain,( 83.49/12.24 $less($sum(-18,-1),sF15) | ~spl19_1185), 83.49/12.24 inference(resolution,[],[f331597,f867])). 83.49/12.24 tff(f331597,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-18) | $less(X0,sF15)) ) | ~spl19_1185), 83.49/12.24 inference(resolution,[],[f331560,f21])). 83.49/12.24 tff(f331560,plain,( 83.49/12.24 $less(-18,sF15) | ~spl19_1185), 83.49/12.24 inference(avatar_component_clause,[],[f331559])). 83.49/12.24 tff(f331577,plain,( 83.49/12.24 spl19_1186 | ~spl19_5 | ~spl19_7 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f331570,f158,f114,f106,f331575])). 83.49/12.24 tff(f331575,plain,( 83.49/12.24 spl19_1186 <=> empty_set = difference(complement(sK2),complement(sF9))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1186])])). 83.49/12.24 tff(f331570,plain,( 83.49/12.24 empty_set = difference(complement(sK2),complement(sF9)) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f331562])). 83.49/12.24 tff(f331562,plain,( 83.49/12.24 empty_set = difference(complement(sK2),complement(sF9)) | empty_set = difference(complement(sK2),complement(sF9)) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f331285,f4993])). 83.49/12.24 tff(f4993,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK0(difference(complement(X0),X1)),X0) | empty_set = difference(complement(X0),X1)) )), 83.49/12.24 inference(resolution,[],[f245,f58])). 83.49/12.24 tff(f331561,plain,( 83.49/12.24 spl19_1185 | ~spl19_1184), 83.49/12.24 inference(avatar_split_clause,[],[f331553,f331381,f331559])). 83.49/12.24 tff(f331381,plain,( 83.49/12.24 spl19_1184 <=> $less(-17,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1184])])). 83.49/12.24 tff(f331553,plain,( 83.49/12.24 $less(-18,sF15) | ~spl19_1184), 83.49/12.24 inference(evaluation,[],[f331544])). 83.49/12.24 tff(f331544,plain,( 83.49/12.24 $less($sum(-1,-17),sF15) | ~spl19_1184), 83.49/12.24 inference(resolution,[],[f331518,f729])). 83.49/12.24 tff(f331518,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-17) | $less(X0,sF15)) ) | ~spl19_1184), 83.49/12.24 inference(resolution,[],[f331382,f21])). 83.49/12.24 tff(f331382,plain,( 83.49/12.24 $less(-17,sF15) | ~spl19_1184), 83.49/12.24 inference(avatar_component_clause,[],[f331381])). 83.49/12.24 tff(f331469,plain,( 83.49/12.24 spl19_1096 | spl19_1183 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f331387,f158,f126,f114,f106,f331281,f320407])). 83.49/12.24 tff(f331387,plain,( 83.49/12.24 empty_set = difference(sF13,sK2) | member(sK7,complement(sF9)) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f331070,f127])). 83.49/12.24 tff(f331070,plain,( 83.49/12.24 ( ! [X0 : element] : (empty_set = difference(singleton(X0),sK2) | member(X0,complement(sF9))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f331067])). 83.49/12.24 tff(f331067,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,complement(sF9)) | empty_set = difference(singleton(X0),sK2) | empty_set = difference(singleton(X0),sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f330965,f4987])). 83.49/12.24 tff(f331383,plain,( 83.49/12.24 spl19_1184 | ~spl19_1181), 83.49/12.24 inference(avatar_split_clause,[],[f331108,f331020,f331381])). 83.49/12.24 tff(f331020,plain,( 83.49/12.24 spl19_1181 <=> $less(-16,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1181])])). 83.49/12.24 tff(f331108,plain,( 83.49/12.24 $less(-17,sF15) | ~spl19_1181), 83.49/12.24 inference(evaluation,[],[f331080])). 83.49/12.24 tff(f331080,plain,( 83.49/12.24 $less($sum(-16,-1),sF15) | ~spl19_1181), 83.49/12.24 inference(resolution,[],[f331025,f867])). 83.49/12.24 tff(f331025,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-16) | $less(X0,sF15)) ) | ~spl19_1181), 83.49/12.24 inference(resolution,[],[f331021,f21])). 83.49/12.24 tff(f331021,plain,( 83.49/12.24 $less(-16,sF15) | ~spl19_1181), 83.49/12.24 inference(avatar_component_clause,[],[f331020])). 83.49/12.24 tff(f331283,plain,( 83.49/12.24 spl19_1096 | spl19_1183 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f331071,f158,f126,f114,f106,f331281,f320407])). 83.49/12.24 tff(f331071,plain,( 83.49/12.24 member(sK7,complement(sF9)) | empty_set = difference(sF13,sK2) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f331066])). 83.49/12.24 tff(f331066,plain,( 83.49/12.24 empty_set = difference(sF13,sK2) | empty_set = difference(sF13,sK2) | member(sK7,complement(sF9)) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f330965,f5006])). 83.49/12.24 tff(f5006,plain,( 83.49/12.24 ( ! [X0 : set] : (sK7 = sK0(difference(sF13,X0)) | empty_set = difference(sF13,X0)) ) | ~spl19_10), 83.49/12.24 inference(resolution,[],[f245,f206])). 83.49/12.24 tff(f206,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF13) | sK7 = X0) ) | ~spl19_10), 83.49/12.24 inference(superposition,[],[f52,f127])). 83.49/12.24 tff(f331116,plain,( 83.49/12.24 spl19_1182 | ~spl19_5 | ~spl19_7 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f331069,f158,f114,f106,f331114])). 83.49/12.24 tff(f331114,plain,( 83.49/12.24 spl19_1182 <=> empty_set = difference(complement(complement(sF9)),sK2)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1182])])). 83.49/12.24 tff(f331069,plain,( 83.49/12.24 empty_set = difference(complement(complement(sF9)),sK2) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f331061])). 83.49/12.24 tff(f331061,plain,( 83.49/12.24 empty_set = difference(complement(complement(sF9)),sK2) | empty_set = difference(complement(complement(sF9)),sK2) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f330965,f4993])). 83.49/12.24 tff(f331022,plain,( 83.49/12.24 spl19_1181 | ~spl19_1180), 83.49/12.24 inference(avatar_split_clause,[],[f330898,f330735,f331020])). 83.49/12.24 tff(f330735,plain,( 83.49/12.24 spl19_1180 <=> $less(-15,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1180])])). 83.49/12.24 tff(f330898,plain,( 83.49/12.24 $less(-16,sF15) | ~spl19_1180), 83.49/12.24 inference(evaluation,[],[f330870])). 83.49/12.24 tff(f330870,plain,( 83.49/12.24 $less($sum(-15,-1),sF15) | ~spl19_1180), 83.49/12.24 inference(resolution,[],[f330863,f867])). 83.49/12.24 tff(f330863,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-15) | $less(X0,sF15)) ) | ~spl19_1180), 83.49/12.24 inference(resolution,[],[f330736,f21])). 83.49/12.24 tff(f330736,plain,( 83.49/12.24 $less(-15,sF15) | ~spl19_1180), 83.49/12.24 inference(avatar_component_clause,[],[f330735])). 83.49/12.24 tff(f330737,plain,( 83.49/12.24 spl19_1180 | ~spl19_1179), 83.49/12.24 inference(avatar_split_clause,[],[f330729,f330183,f330735])). 83.49/12.24 tff(f330183,plain,( 83.49/12.24 spl19_1179 <=> $less(-14,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1179])])). 83.49/12.24 tff(f330729,plain,( 83.49/12.24 $less(-15,sF15) | ~spl19_1179), 83.49/12.24 inference(evaluation,[],[f330720])). 83.49/12.24 tff(f330720,plain,( 83.49/12.24 $less($sum(-1,-14),sF15) | ~spl19_1179), 83.49/12.24 inference(resolution,[],[f330203,f729])). 83.49/12.24 tff(f330203,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-14) | $less(X0,sF15)) ) | ~spl19_1179), 83.49/12.24 inference(resolution,[],[f330184,f21])). 83.49/12.24 tff(f330184,plain,( 83.49/12.24 $less(-14,sF15) | ~spl19_1179), 83.49/12.24 inference(avatar_component_clause,[],[f330183])). 83.49/12.24 tff(f330185,plain,( 83.49/12.24 spl19_1179 | ~spl19_1178), 83.49/12.24 inference(avatar_split_clause,[],[f329748,f329609,f330183])). 83.49/12.24 tff(f329609,plain,( 83.49/12.24 spl19_1178 <=> $less(-13,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1178])])). 83.49/12.24 tff(f329748,plain,( 83.49/12.24 $less(-14,sF15) | ~spl19_1178), 83.49/12.24 inference(evaluation,[],[f329739])). 83.49/12.24 tff(f329739,plain,( 83.49/12.24 $less($sum(-1,-13),sF15) | ~spl19_1178), 83.49/12.24 inference(resolution,[],[f329713,f729])). 83.49/12.24 tff(f329713,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-13) | $less(X0,sF15)) ) | ~spl19_1178), 83.49/12.24 inference(resolution,[],[f329610,f21])). 83.49/12.24 tff(f329610,plain,( 83.49/12.24 $less(-13,sF15) | ~spl19_1178), 83.49/12.24 inference(avatar_component_clause,[],[f329609])). 83.49/12.24 tff(f329611,plain,( 83.49/12.24 spl19_1178 | ~spl19_1174), 83.49/12.24 inference(avatar_split_clause,[],[f328745,f328611,f329609])). 83.49/12.24 tff(f328611,plain,( 83.49/12.24 spl19_1174 <=> $less(-12,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1174])])). 83.49/12.24 tff(f328745,plain,( 83.49/12.24 $less(-13,sF15) | ~spl19_1174), 83.49/12.24 inference(evaluation,[],[f328717])). 83.49/12.24 tff(f328717,plain,( 83.49/12.24 $less($sum(-12,-1),sF15) | ~spl19_1174), 83.49/12.24 inference(resolution,[],[f328710,f867])). 83.49/12.24 tff(f328710,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-12) | $less(X0,sF15)) ) | ~spl19_1174), 83.49/12.24 inference(resolution,[],[f328612,f21])). 83.49/12.24 tff(f328612,plain,( 83.49/12.24 $less(-12,sF15) | ~spl19_1174), 83.49/12.24 inference(avatar_component_clause,[],[f328611])). 83.49/12.24 tff(f329607,plain,( 83.49/12.24 spl19_55 | ~spl19_1177 | ~spl19_8 | ~spl19_12 | ~spl19_1145 | ~spl19_1155), 83.49/12.24 inference(avatar_split_clause,[],[f329597,f327824,f327258,f134,f118,f329605,f607])). 83.49/12.24 tff(f607,plain,( 83.49/12.24 spl19_55 <=> empty_set = sF8), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_55])])). 83.49/12.24 tff(f329605,plain,( 83.49/12.24 spl19_1177 <=> sF16 = $sum(1,sF16)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1177])])). 83.49/12.24 tff(f327258,plain,( 83.49/12.24 spl19_1145 <=> empty_set = intersection(sF8,sK3)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1145])])). 83.49/12.24 tff(f327824,plain,( 83.49/12.24 spl19_1155 <=> cardinality(union(sF8,sK3)) = $sum(1,sF16)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1155])])). 83.49/12.24 tff(f329597,plain,( 83.49/12.24 empty_set = sF8 | sF16 != $sum(1,sF16) | (~spl19_8 | ~spl19_12 | ~spl19_1145 | ~spl19_1155)), 83.49/12.24 inference(forward_demodulation,[],[f329596,f327259])). 83.49/12.24 tff(f327259,plain,( 83.49/12.24 empty_set = intersection(sF8,sK3) | ~spl19_1145), 83.49/12.24 inference(avatar_component_clause,[],[f327258])). 83.49/12.24 tff(f329596,plain,( 83.49/12.24 sF8 = intersection(sF8,sK3) | sF16 != $sum(1,sF16) | (~spl19_8 | ~spl19_12 | ~spl19_1155)), 83.49/12.24 inference(forward_demodulation,[],[f329589,f135])). 83.49/12.24 tff(f329589,plain,( 83.49/12.24 cardinality(sK3) != $sum(1,sF16) | sF8 = intersection(sF8,sK3) | (~spl19_8 | ~spl19_1155)), 83.49/12.24 inference(superposition,[],[f365,f327825])). 83.49/12.24 tff(f327825,plain,( 83.49/12.24 cardinality(union(sF8,sK3)) = $sum(1,sF16) | ~spl19_1155), 83.49/12.24 inference(avatar_component_clause,[],[f327824])). 83.49/12.24 tff(f365,plain,( 83.49/12.24 ( ! [X0 : set] : (cardinality(X0) != cardinality(union(sF8,X0)) | sF8 = intersection(sF8,X0)) ) | ~spl19_8), 83.49/12.24 inference(superposition,[],[f43,f119])). 83.49/12.24 tff(f43,plain,( 83.49/12.24 ( ! [X0 : element,X1 : set] : (cardinality(union(singleton(X0),X1)) != cardinality(X1) | singleton(X0) = intersection(singleton(X0),X1)) )), 83.49/12.24 inference(cnf_transformation,[],[f4])). 83.49/12.24 tff(f4,axiom,( 83.49/12.24 ! [X0 : element,X1 : set] : (cardinality(union(singleton(X0),X1)) = cardinality(X1) <=> singleton(X0) = intersection(singleton(X0),X1))), 83.49/12.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 83.49/12.24 tff(f328707,plain,( 83.49/12.24 spl19_1176 | spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20), 83.49/12.24 inference(avatar_split_clause,[],[f328642,f181,f158,f138,f126,f114,f106,f90,f328705])). 83.49/12.24 tff(f328705,plain,( 83.49/12.24 spl19_1176 <=> cardinality(union(sK4,sF13)) = $sum(1,cardinality(sK4))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1176])])). 83.49/12.24 tff(f328642,plain,( 83.49/12.24 cardinality(union(sK4,sF13)) = $sum(1,cardinality(sK4)) | (spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20)), 83.49/12.24 inference(subsumption_resolution,[],[f328633,f91])). 83.49/12.24 tff(f328633,plain,( 83.49/12.24 cardinality(union(sK4,sF13)) = $sum(1,cardinality(sK4)) | member(sK7,sK2) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20)), 83.49/12.24 inference(superposition,[],[f325108,f127])). 83.49/12.24 tff(f325108,plain,( 83.49/12.24 ( ! [X0 : element] : ($sum(1,cardinality(sK4)) = cardinality(union(sK4,singleton(X0))) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18 | ~spl19_20)), 83.49/12.24 inference(forward_demodulation,[],[f325107,f15])). 83.49/12.24 tff(f325107,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,sK2) | $sum(cardinality(sK4),1) = cardinality(union(sK4,singleton(X0)))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18 | ~spl19_20)), 83.49/12.24 inference(forward_demodulation,[],[f325106,f6730])). 83.49/12.24 tff(f325106,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,sK2) | $sum(cardinality(sK4),cardinality(singleton(X0))) = cardinality(union(sK4,singleton(X0)))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(trivial_inequality_removal,[],[f325098])). 83.49/12.24 tff(f325098,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,sK2) | $sum(cardinality(sK4),cardinality(singleton(X0))) = cardinality(union(sK4,singleton(X0))) | empty_set != empty_set) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f73,f325027])). 83.49/12.24 tff(f325027,plain,( 83.49/12.24 ( ! [X0 : element] : (empty_set = intersection(sK4,singleton(X0)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f325018])). 83.49/12.24 tff(f325018,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,sK2) | empty_set = intersection(sK4,singleton(X0)) | empty_set = intersection(sK4,singleton(X0))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f324649,f4898])). 83.49/12.24 tff(f324649,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(sK4,X0)),sK2) | empty_set = intersection(sK4,X0)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f323609,f59])). 83.49/12.24 tff(f323609,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(sK4,X0)) | member(X1,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f323588,f162])). 83.49/12.24 tff(f323588,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (member(X1,sK2) | member(X1,empty_set) | ~member(X1,intersection(sK4,X0))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f61,f323356])). 83.49/12.24 tff(f323356,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(intersection(sK4,X0),sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f323342])). 83.49/12.24 tff(f323342,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(intersection(sK4,X0),sK2) | empty_set = difference(intersection(sK4,X0),sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f322889,f4989])). 83.49/12.24 tff(f322889,plain,( 83.49/12.24 ( ! [X0 : set] : (~member(sK0(difference(X0,sK2)),sK4) | empty_set = difference(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f322887,f59])). 83.49/12.24 tff(f322887,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (~member(X1,difference(X0,sK2)) | ~member(X1,sK4)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f322875,f162])). 83.49/12.24 tff(f322875,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (~member(X1,sK4) | member(X1,empty_set) | ~member(X1,difference(X0,sK2))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f46,f322850])). 83.49/12.24 tff(f322850,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = intersection(difference(X0,sK2),sK4)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f322816])). 83.49/12.24 tff(f322816,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = intersection(difference(X0,sK2),sK4) | empty_set = intersection(difference(X0,sK2),sK4)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f161718,f269242])). 83.49/12.24 tff(f269242,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(X0,sK4)),sF9) | empty_set = intersection(X0,sK4)) ) | ~spl19_13), 83.49/12.24 inference(resolution,[],[f240,f234])). 83.49/12.24 tff(f240,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sK4) | member(X0,sF9)) ) | ~spl19_13), 83.49/12.24 inference(superposition,[],[f54,f139])). 83.49/12.24 tff(f328617,plain,( 83.49/12.24 spl19_1175 | spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f328570,f158,f138,f126,f114,f106,f90,f328615])). 83.49/12.24 tff(f328615,plain,( 83.49/12.24 spl19_1175 <=> $sum(1,cardinality(sK4)) = cardinality(union(sF13,sK4))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1175])])). 83.49/12.24 tff(f328570,plain,( 83.49/12.24 $sum(1,cardinality(sK4)) = cardinality(union(sF13,sK4)) | (spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f328557,f91])). 83.49/12.24 tff(f328557,plain,( 83.49/12.24 member(sK7,sK2) | $sum(1,cardinality(sK4)) = cardinality(union(sF13,sK4)) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f324983,f127])). 83.49/12.24 tff(f324983,plain,( 83.49/12.24 ( ! [X0 : element] : ($sum(1,cardinality(sK4)) = cardinality(union(singleton(X0),sK4)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(trivial_inequality_removal,[],[f324971])). 83.49/12.24 tff(f324971,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,sK2) | empty_set != empty_set | $sum(1,cardinality(sK4)) = cardinality(union(singleton(X0),sK4))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f404,f324949])). 83.49/12.24 tff(f324949,plain,( 83.49/12.24 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sK4) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f324945])). 83.49/12.24 tff(f324945,plain,( 83.49/12.24 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sK4) | empty_set = intersection(singleton(X0),sK4) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f324621,f4842])). 83.49/12.24 tff(f324621,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(X0,sK4)),sK2) | empty_set = intersection(X0,sK4)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f323465,f59])). 83.49/12.24 tff(f323465,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(X0,sK4)) | member(X1,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f323455,f162])). 83.49/12.24 tff(f323455,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(X0,sK4)) | member(X1,sK2) | member(X1,empty_set)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f61,f323352])). 83.49/12.24 tff(f323352,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(intersection(X0,sK4),sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f323344])). 83.49/12.24 tff(f323344,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(intersection(X0,sK4),sK2) | empty_set = difference(intersection(X0,sK4),sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f322889,f4988])). 83.49/12.24 tff(f328613,plain,( 83.49/12.24 spl19_1174 | ~spl19_1172), 83.49/12.24 inference(avatar_split_clause,[],[f328605,f328375,f328611])). 83.49/12.24 tff(f328375,plain,( 83.49/12.24 spl19_1172 <=> $less(-11,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1172])])). 83.49/12.24 tff(f328605,plain,( 83.49/12.24 $less(-12,sF15) | ~spl19_1172), 83.49/12.24 inference(evaluation,[],[f328577])). 83.49/12.24 tff(f328577,plain,( 83.49/12.24 $less($sum(-11,-1),sF15) | ~spl19_1172), 83.49/12.24 inference(resolution,[],[f328439,f867])). 83.49/12.24 tff(f328439,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-11) | $less(X0,sF15)) ) | ~spl19_1172), 83.49/12.24 inference(resolution,[],[f328376,f21])). 83.49/12.24 tff(f328376,plain,( 83.49/12.24 $less(-11,sF15) | ~spl19_1172), 83.49/12.24 inference(avatar_component_clause,[],[f328375])). 83.49/12.24 tff(f328443,plain,( 83.49/12.24 spl19_1173 | ~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f328427,f158,f138,f114,f106,f328441])). 83.49/12.24 tff(f328441,plain,( 83.49/12.24 spl19_1173 <=> empty_set = difference(sK4,complement(empty_set))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1173])])). 83.49/12.24 tff(f328427,plain,( 83.49/12.24 empty_set = difference(sK4,complement(empty_set)) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f328418])). 83.49/12.24 tff(f328418,plain,( 83.49/12.24 empty_set = difference(sK4,complement(empty_set)) | empty_set = difference(sK4,complement(empty_set)) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f328012,f269238])). 83.49/12.24 tff(f269238,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(difference(sK4,X0)),sF9) | empty_set = difference(sK4,X0)) ) | ~spl19_13), 83.49/12.24 inference(resolution,[],[f240,f245])). 83.49/12.24 tff(f328012,plain,( 83.49/12.24 ( ! [X0 : set] : (~member(sK0(difference(X0,complement(empty_set))),sF9) | empty_set = difference(X0,complement(empty_set))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f327971,f246])). 83.49/12.24 tff(f327971,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,complement(empty_set)) | ~member(X0,sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f326867,f5063])). 83.49/12.24 tff(f5063,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(X0,X0)) )), 83.49/12.24 inference(duplicate_literal_removal,[],[f5050])). 83.49/12.24 tff(f5050,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(X0,X0) | empty_set = difference(X0,X0)) )), 83.49/12.24 inference(resolution,[],[f246,f245])). 83.49/12.24 tff(f326867,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (member(X1,complement(difference(X0,sK2))) | ~member(X1,sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f326857,f162])). 83.49/12.24 tff(f326857,plain,( 83.49/12.24 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | member(X1,complement(difference(X0,sK2))) | ~member(X1,sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f61,f326817])). 83.49/12.24 tff(f326817,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(sF9,complement(difference(X0,sK2)))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f326783])). 83.49/12.24 tff(f326783,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(sF9,complement(difference(X0,sK2))) | empty_set = difference(sF9,complement(difference(X0,sK2)))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f323270,f5059])). 83.49/12.24 tff(f323270,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK0(difference(sF9,X0)),difference(X1,sK2)) | empty_set = difference(sF9,X0)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f323173,f59])). 83.49/12.24 tff(f323173,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,difference(sF9,X1)) | ~member(X2,difference(X0,sK2))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(subsumption_resolution,[],[f323161,f162])). 83.49/12.24 tff(f323161,plain,( 83.49/12.24 ( ! [X2 : element,X0 : set,X1 : set] : (member(X2,empty_set) | ~member(X2,difference(X0,sK2)) | ~member(X2,difference(sF9,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f46,f322854])). 83.49/12.24 tff(f322854,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set = intersection(difference(X0,sK2),difference(sF9,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f322820])). 83.49/12.24 tff(f322820,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (empty_set = intersection(difference(X0,sK2),difference(sF9,X1)) | empty_set = intersection(difference(X0,sK2),difference(sF9,X1))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f161718,f4903])). 83.49/12.24 tff(f328377,plain,( 83.49/12.24 spl19_1172 | ~spl19_1171), 83.49/12.24 inference(avatar_split_clause,[],[f328340,f328300,f328375])). 83.49/12.24 tff(f328300,plain,( 83.49/12.24 spl19_1171 <=> $less(-10,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1171])])). 83.49/12.24 tff(f328340,plain,( 83.49/12.24 $less(-11,sF15) | ~spl19_1171), 83.49/12.24 inference(evaluation,[],[f328331])). 83.49/12.24 tff(f328331,plain,( 83.49/12.24 $less($sum(-1,-10),sF15) | ~spl19_1171), 83.49/12.24 inference(resolution,[],[f328305,f729])). 83.49/12.24 tff(f328305,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-10) | $less(X0,sF15)) ) | ~spl19_1171), 83.49/12.24 inference(resolution,[],[f328301,f21])). 83.49/12.24 tff(f328301,plain,( 83.49/12.24 $less(-10,sF15) | ~spl19_1171), 83.49/12.24 inference(avatar_component_clause,[],[f328300])). 83.49/12.24 tff(f328302,plain,( 83.49/12.24 spl19_1171 | ~spl19_1166), 83.49/12.24 inference(avatar_split_clause,[],[f328253,f328105,f328300])). 83.49/12.24 tff(f328105,plain,( 83.49/12.24 spl19_1166 <=> $less(-9,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1166])])). 83.49/12.24 tff(f328253,plain,( 83.49/12.24 $less(-10,sF15) | ~spl19_1166), 83.49/12.24 inference(evaluation,[],[f328244])). 83.49/12.24 tff(f328244,plain,( 83.49/12.24 $less($sum(-1,-9),sF15) | ~spl19_1166), 83.49/12.24 inference(resolution,[],[f328123,f729])). 83.49/12.24 tff(f328123,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-9) | $less(X0,sF15)) ) | ~spl19_1166), 83.49/12.24 inference(resolution,[],[f328106,f21])). 83.49/12.24 tff(f328106,plain,( 83.49/12.24 $less(-9,sF15) | ~spl19_1166), 83.49/12.24 inference(avatar_component_clause,[],[f328105])). 83.49/12.24 tff(f328169,plain,( 83.49/12.24 spl19_26 | spl19_1170 | ~spl19_14), 83.49/12.24 inference(avatar_split_clause,[],[f322737,f142,f328167,f264])). 83.49/12.24 tff(f264,plain,( 83.49/12.24 spl19_26 <=> empty_set = sK3), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_26])])). 83.49/12.24 tff(f328167,plain,( 83.49/12.24 spl19_1170 <=> member(sK0(sK3),sF10)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1170])])). 83.49/12.24 tff(f322737,plain,( 83.49/12.24 empty_set = sK3 | member(sK0(sK3),sF10) | ~spl19_14), 83.49/12.24 inference(resolution,[],[f241,f59])). 83.49/12.24 tff(f241,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sK3) | member(X0,sF10)) ) | ~spl19_14), 83.49/12.24 inference(superposition,[],[f54,f143])). 83.49/12.24 tff(f328165,plain,( 83.49/12.24 spl19_1169 | ~spl19_3 | ~spl19_13), 83.49/12.24 inference(avatar_split_clause,[],[f328150,f138,f98,f328163])). 83.49/12.24 tff(f328150,plain,( 83.49/12.24 empty_set = difference(sK3,sF9) | (~spl19_3 | ~spl19_13)), 83.49/12.24 inference(superposition,[],[f327094,f139])). 83.49/12.24 tff(f327094,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(sK3,union(sK4,X0))) ) | ~spl19_3), 83.49/12.24 inference(duplicate_literal_removal,[],[f327088])). 83.49/12.24 tff(f327088,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(sK3,union(sK4,X0)) | empty_set = difference(sK3,union(sK4,X0))) ) | ~spl19_3), 83.49/12.24 inference(resolution,[],[f320998,f5056])). 83.49/12.24 tff(f320998,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(difference(sK3,X0)),sK4) | empty_set = difference(sK3,X0)) ) | ~spl19_3), 83.49/12.24 inference(resolution,[],[f270,f245])). 83.49/12.24 tff(f328120,plain,( 83.49/12.24 ~spl19_1167 | spl19_1168 | ~spl19_17), 83.49/12.24 inference(avatar_split_clause,[],[f323545,f154,f328118,f328115])). 83.49/12.24 tff(f328115,plain,( 83.49/12.24 spl19_1167 <=> $less(-3,sF16)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1167])])). 83.49/12.24 tff(f328118,plain,( 83.49/12.24 spl19_1168 <=> $less(0,sF17)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1168])])). 83.49/12.24 tff(f323545,plain,( 83.49/12.24 ~$less(-3,sF16) | $less(0,sF17) | ~spl19_17), 83.49/12.24 inference(evaluation,[],[f323541])). 83.49/12.24 tff(f323541,plain,( 83.49/12.24 $less(0,sF17) | ~$less($uminus(3),sF16) | ~spl19_17), 83.49/12.24 inference(superposition,[],[f314,f161])). 83.49/12.24 tff(f161,plain,( 83.49/12.24 ( ! [X0 : $int] : (0 = $sum($uminus(X0),X0)) )), 83.49/12.24 inference(superposition,[],[f19,f25])). 83.49/12.24 tff(f25,plain,( 83.49/12.24 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )), 83.49/12.24 introduced(theory_axiom_156,[])). 83.49/12.24 tff(f314,plain,( 83.49/12.24 ( ! [X0 : $int] : ($less($sum(X0,3),sF17) | ~$less(X0,sF16)) ) | ~spl19_17), 83.49/12.24 inference(superposition,[],[f23,f155])). 83.49/12.24 tff(f328107,plain,( 83.49/12.24 spl19_1166 | ~spl19_1140), 83.49/12.24 inference(avatar_split_clause,[],[f328099,f327064,f328105])). 83.49/12.24 tff(f327064,plain,( 83.49/12.24 spl19_1140 <=> $less(-8,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1140])])). 83.49/12.24 tff(f328099,plain,( 83.49/12.24 $less(-9,sF15) | ~spl19_1140), 83.49/12.24 inference(evaluation,[],[f328090])). 83.49/12.24 tff(f328090,plain,( 83.49/12.24 $less($sum(-1,-8),sF15) | ~spl19_1140), 83.49/12.24 inference(resolution,[],[f327098,f729])). 83.49/12.24 tff(f327098,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-8) | $less(X0,sF15)) ) | ~spl19_1140), 83.49/12.24 inference(resolution,[],[f327065,f21])). 83.49/12.24 tff(f327065,plain,( 83.49/12.24 $less(-8,sF15) | ~spl19_1140), 83.49/12.24 inference(avatar_component_clause,[],[f327064])). 83.49/12.24 tff(f328056,plain,( 83.49/12.24 ~spl19_1164 | spl19_1165 | ~spl19_17), 83.49/12.24 inference(avatar_split_clause,[],[f323111,f154,f328054,f328051])). 83.49/12.24 tff(f328051,plain,( 83.49/12.24 spl19_1164 <=> $less(sF16,-3)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1164])])). 83.49/12.24 tff(f328054,plain,( 83.49/12.24 spl19_1165 <=> $less(sF17,0)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1165])])). 83.49/12.24 tff(f323111,plain,( 83.49/12.24 ~$less(sF16,-3) | $less(sF17,0) | ~spl19_17), 83.49/12.24 inference(evaluation,[],[f323107])). 83.49/12.24 tff(f323107,plain,( 83.49/12.24 $less(sF17,0) | ~$less(sF16,$uminus(3)) | ~spl19_17), 83.49/12.24 inference(superposition,[],[f306,f161])). 83.49/12.24 tff(f306,plain,( 83.49/12.24 ( ! [X0 : $int] : ($less(sF17,$sum(X0,3)) | ~$less(sF16,X0)) ) | ~spl19_17), 83.49/12.24 inference(superposition,[],[f23,f155])). 83.49/12.24 tff(f327954,plain,( 83.49/12.24 ~spl19_1163 | ~spl19_23 | ~spl19_1145), 83.49/12.24 inference(avatar_split_clause,[],[f327948,f327258,f208,f327952])). 83.49/12.24 tff(f327952,plain,( 83.49/12.24 spl19_1163 <=> member(sK1,sK3)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1163])])). 83.49/12.24 tff(f208,plain,( 83.49/12.24 spl19_23 <=> member(sK1,sF8)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_23])])). 83.49/12.24 tff(f327948,plain,( 83.49/12.24 ~member(sK1,sK3) | (~spl19_23 | ~spl19_1145)), 83.49/12.24 inference(resolution,[],[f327287,f209])). 83.49/12.24 tff(f209,plain,( 83.49/12.24 member(sK1,sF8) | ~spl19_23), 83.49/12.24 inference(avatar_component_clause,[],[f208])). 83.49/12.24 tff(f327287,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF8) | ~member(X0,sK3)) ) | ~spl19_1145), 83.49/12.24 inference(subsumption_resolution,[],[f327274,f162])). 83.49/12.24 tff(f327274,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF8) | member(X0,empty_set) | ~member(X0,sK3)) ) | ~spl19_1145), 83.49/12.24 inference(superposition,[],[f46,f327259])). 83.49/12.24 tff(f327922,plain,( 83.49/12.24 ~spl19_1162 | ~spl19_24 | ~spl19_1142), 83.49/12.24 inference(avatar_split_clause,[],[f327915,f327105,f212,f327920])). 83.49/12.24 tff(f212,plain,( 83.49/12.24 spl19_24 <=> member(sK6,sF11)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_24])])). 83.49/12.24 tff(f327105,plain,( 83.49/12.24 spl19_1142 <=> empty_set = intersection(sK3,sF11)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1142])])). 83.49/12.24 tff(f327915,plain,( 83.49/12.24 ~member(sK6,sK3) | (~spl19_24 | ~spl19_1142)), 83.49/12.24 inference(resolution,[],[f327162,f213])). 83.49/12.24 tff(f213,plain,( 83.49/12.24 member(sK6,sF11) | ~spl19_24), 83.49/12.24 inference(avatar_component_clause,[],[f212])). 83.49/12.24 tff(f327162,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF11) | ~member(X0,sK3)) ) | ~spl19_1142), 83.49/12.24 inference(subsumption_resolution,[],[f327147,f162])). 83.49/12.24 tff(f327147,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sK3) | ~member(X0,sF11)) ) | ~spl19_1142), 83.49/12.24 inference(superposition,[],[f46,f327106])). 83.49/12.24 tff(f327106,plain,( 83.49/12.24 empty_set = intersection(sK3,sF11) | ~spl19_1142), 83.49/12.24 inference(avatar_component_clause,[],[f327105])). 83.49/12.24 tff(f327880,plain,( 83.49/12.24 ~spl19_57 | spl19_1161 | ~spl19_9 | ~spl19_12 | ~spl19_1147), 83.49/12.24 inference(avatar_split_clause,[],[f327351,f327332,f134,f122,f327878,f682])). 83.49/12.24 tff(f682,plain,( 83.49/12.24 spl19_57 <=> empty_set = sF11), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_57])])). 83.49/12.24 tff(f327878,plain,( 83.49/12.24 spl19_1161 <=> sF16 = cardinality(union(sF11,sK3))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1161])])). 83.49/12.24 tff(f327332,plain,( 83.49/12.24 spl19_1147 <=> empty_set = intersection(sF11,sK3)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1147])])). 83.49/12.24 tff(f327351,plain,( 83.49/12.24 empty_set != sF11 | sF16 = cardinality(union(sF11,sK3)) | (~spl19_9 | ~spl19_12 | ~spl19_1147)), 83.49/12.24 inference(forward_demodulation,[],[f327335,f135])). 83.49/12.24 tff(f327335,plain,( 83.49/12.24 cardinality(sK3) = cardinality(union(sF11,sK3)) | empty_set != sF11 | (~spl19_9 | ~spl19_1147)), 83.49/12.24 inference(superposition,[],[f363,f327333])). 83.49/12.24 tff(f327333,plain,( 83.49/12.24 empty_set = intersection(sF11,sK3) | ~spl19_1147), 83.49/12.24 inference(avatar_component_clause,[],[f327332])). 83.49/12.24 tff(f363,plain,( 83.49/12.24 ( ! [X0 : set] : (sF11 != intersection(sF11,X0) | cardinality(X0) = cardinality(union(sF11,X0))) ) | ~spl19_9), 83.49/12.24 inference(superposition,[],[f42,f123])). 83.49/12.24 tff(f42,plain,( 83.49/12.24 ( ! [X0 : element,X1 : set] : (singleton(X0) != intersection(singleton(X0),X1) | cardinality(union(singleton(X0),X1)) = cardinality(X1)) )), 83.49/12.24 inference(cnf_transformation,[],[f4])). 83.49/12.24 tff(f327876,plain,( 83.49/12.24 ~spl19_59 | spl19_1160 | ~spl19_10 | ~spl19_12 | ~spl19_1146), 83.49/12.24 inference(avatar_split_clause,[],[f327322,f327262,f134,f126,f327874,f1016])). 83.49/12.24 tff(f327874,plain,( 83.49/12.24 spl19_1160 <=> sF16 = cardinality(union(sF13,sK3))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1160])])). 83.49/12.24 tff(f327262,plain,( 83.49/12.24 spl19_1146 <=> empty_set = intersection(sF13,sK3)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1146])])). 83.49/12.24 tff(f327322,plain,( 83.49/12.24 sF16 = cardinality(union(sF13,sK3)) | empty_set != sF13 | (~spl19_10 | ~spl19_12 | ~spl19_1146)), 83.49/12.24 inference(forward_demodulation,[],[f327294,f135])). 83.49/12.24 tff(f327294,plain,( 83.49/12.24 cardinality(sK3) = cardinality(union(sF13,sK3)) | empty_set != sF13 | (~spl19_10 | ~spl19_1146)), 83.49/12.24 inference(superposition,[],[f364,f327263])). 83.49/12.24 tff(f327263,plain,( 83.49/12.24 empty_set = intersection(sF13,sK3) | ~spl19_1146), 83.49/12.24 inference(avatar_component_clause,[],[f327262])). 83.49/12.24 tff(f364,plain,( 83.49/12.24 ( ! [X0 : set] : (sF13 != intersection(sF13,X0) | cardinality(X0) = cardinality(union(sF13,X0))) ) | ~spl19_10), 83.49/12.24 inference(superposition,[],[f42,f127])). 83.49/12.24 tff(f327872,plain,( 83.49/12.24 ~spl19_1159 | ~spl19_25 | ~spl19_1141), 83.49/12.24 inference(avatar_split_clause,[],[f327858,f327100,f216,f327870])). 83.49/12.24 tff(f327870,plain,( 83.49/12.24 spl19_1159 <=> member(sK7,sK3)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1159])])). 83.49/12.24 tff(f327100,plain,( 83.49/12.24 spl19_1141 <=> empty_set = intersection(sK3,sF13)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1141])])). 83.49/12.24 tff(f327858,plain,( 83.49/12.24 ~member(sK7,sK3) | (~spl19_25 | ~spl19_1141)), 83.49/12.24 inference(resolution,[],[f327142,f217])). 83.49/12.24 tff(f327142,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF13) | ~member(X0,sK3)) ) | ~spl19_1141), 83.49/12.24 inference(subsumption_resolution,[],[f327126,f162])). 83.49/12.24 tff(f327126,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF13) | ~member(X0,sK3)) ) | ~spl19_1141), 83.49/12.24 inference(superposition,[],[f46,f327101])). 83.49/12.24 tff(f327101,plain,( 83.49/12.24 empty_set = intersection(sK3,sF13) | ~spl19_1141), 83.49/12.24 inference(avatar_component_clause,[],[f327100])). 83.49/12.24 tff(f327868,plain,( 83.49/12.24 ~spl19_55 | spl19_1158 | ~spl19_8 | ~spl19_12 | ~spl19_1145), 83.49/12.24 inference(avatar_split_clause,[],[f327292,f327258,f134,f118,f327866,f607])). 83.49/12.24 tff(f327866,plain,( 83.49/12.24 spl19_1158 <=> sF16 = cardinality(union(sF8,sK3))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1158])])). 83.49/12.24 tff(f327292,plain,( 83.49/12.24 empty_set != sF8 | sF16 = cardinality(union(sF8,sK3)) | (~spl19_8 | ~spl19_12 | ~spl19_1145)), 83.49/12.24 inference(forward_demodulation,[],[f327268,f135])). 83.49/12.24 tff(f327268,plain,( 83.49/12.24 cardinality(sK3) = cardinality(union(sF8,sK3)) | empty_set != sF8 | (~spl19_8 | ~spl19_1145)), 83.49/12.24 inference(superposition,[],[f362,f327259])). 83.49/12.24 tff(f362,plain,( 83.49/12.24 ( ! [X0 : set] : (sF8 != intersection(sF8,X0) | cardinality(X0) = cardinality(union(sF8,X0))) ) | ~spl19_8), 83.49/12.24 inference(superposition,[],[f42,f119])). 83.49/12.24 tff(f327864,plain,( 83.49/12.24 spl19_1157 | ~spl19_9 | ~spl19_12 | ~spl19_1147), 83.49/12.24 inference(avatar_split_clause,[],[f327356,f327332,f134,f122,f327861])). 83.49/12.24 tff(f327861,plain,( 83.49/12.24 spl19_1157 <=> cardinality(union(sF11,sK3)) = $sum(1,sF16)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1157])])). 83.49/12.24 tff(f327356,plain,( 83.49/12.24 cardinality(union(sF11,sK3)) = $sum(1,sF16) | (~spl19_9 | ~spl19_12 | ~spl19_1147)), 83.49/12.24 inference(forward_demodulation,[],[f327348,f135])). 83.49/12.24 tff(f327348,plain,( 83.49/12.24 $sum(1,cardinality(sK3)) = cardinality(union(sF11,sK3)) | (~spl19_9 | ~spl19_1147)), 83.49/12.24 inference(trivial_inequality_removal,[],[f327336])). 83.49/12.24 tff(f327336,plain,( 83.49/12.24 empty_set != empty_set | $sum(1,cardinality(sK3)) = cardinality(union(sF11,sK3)) | (~spl19_9 | ~spl19_1147)), 83.49/12.24 inference(superposition,[],[f438,f327333])). 83.49/12.24 tff(f438,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set != intersection(sF11,X0) | cardinality(union(sF11,X0)) = $sum(1,cardinality(X0))) ) | ~spl19_9), 83.49/12.24 inference(superposition,[],[f404,f123])). 83.49/12.24 tff(f327863,plain,( 83.49/12.24 spl19_1157 | ~spl19_12 | ~spl19_97 | ~spl19_1147), 83.49/12.24 inference(avatar_split_clause,[],[f327355,f327332,f6753,f134,f327861])). 83.49/12.24 tff(f327355,plain,( 83.49/12.24 cardinality(union(sF11,sK3)) = $sum(1,sF16) | (~spl19_12 | ~spl19_97 | ~spl19_1147)), 83.49/12.24 inference(forward_demodulation,[],[f327354,f15])). 83.49/12.24 tff(f327354,plain,( 83.49/12.24 cardinality(union(sF11,sK3)) = $sum(sF16,1) | (~spl19_12 | ~spl19_97 | ~spl19_1147)), 83.49/12.24 inference(forward_demodulation,[],[f327353,f6754])). 83.49/12.24 tff(f327353,plain,( 83.49/12.24 cardinality(union(sF11,sK3)) = $sum(sF16,cardinality(sF11)) | (~spl19_12 | ~spl19_1147)), 83.49/12.24 inference(forward_demodulation,[],[f327352,f15])). 83.49/12.24 tff(f327352,plain,( 83.49/12.24 cardinality(union(sF11,sK3)) = $sum(cardinality(sF11),sF16) | (~spl19_12 | ~spl19_1147)), 83.49/12.24 inference(forward_demodulation,[],[f327349,f135])). 83.49/12.24 tff(f327349,plain,( 83.49/12.24 cardinality(union(sF11,sK3)) = $sum(cardinality(sF11),cardinality(sK3)) | ~spl19_1147), 83.49/12.24 inference(trivial_inequality_removal,[],[f327340])). 83.49/12.24 tff(f327340,plain,( 83.49/12.24 empty_set != empty_set | cardinality(union(sF11,sK3)) = $sum(cardinality(sF11),cardinality(sK3)) | ~spl19_1147), 83.49/12.24 inference(superposition,[],[f73,f327333])). 83.49/12.24 tff(f327832,plain,( 83.49/12.24 spl19_1156 | ~spl19_12 | ~spl19_100 | ~spl19_1146), 83.49/12.24 inference(avatar_split_clause,[],[f327330,f327262,f6794,f134,f327829])). 83.49/12.24 tff(f327829,plain,( 83.49/12.24 spl19_1156 <=> cardinality(union(sF13,sK3)) = $sum(1,sF16)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1156])])). 83.49/12.24 tff(f327330,plain,( 83.49/12.24 cardinality(union(sF13,sK3)) = $sum(1,sF16) | (~spl19_12 | ~spl19_100 | ~spl19_1146)), 83.49/12.24 inference(forward_demodulation,[],[f327329,f15])). 83.49/12.24 tff(f327329,plain,( 83.49/12.24 cardinality(union(sF13,sK3)) = $sum(sF16,1) | (~spl19_12 | ~spl19_100 | ~spl19_1146)), 83.49/12.24 inference(forward_demodulation,[],[f327328,f6795])). 83.49/12.24 tff(f327328,plain,( 83.49/12.24 cardinality(union(sF13,sK3)) = $sum(sF16,cardinality(sF13)) | (~spl19_12 | ~spl19_1146)), 83.49/12.24 inference(forward_demodulation,[],[f327327,f15])). 83.49/12.24 tff(f327327,plain,( 83.49/12.24 cardinality(union(sF13,sK3)) = $sum(cardinality(sF13),sF16) | (~spl19_12 | ~spl19_1146)), 83.49/12.24 inference(forward_demodulation,[],[f327317,f135])). 83.49/12.24 tff(f327317,plain,( 83.49/12.24 cardinality(union(sF13,sK3)) = $sum(cardinality(sF13),cardinality(sK3)) | ~spl19_1146), 83.49/12.24 inference(trivial_inequality_removal,[],[f327309])). 83.49/12.24 tff(f327309,plain,( 83.49/12.24 cardinality(union(sF13,sK3)) = $sum(cardinality(sF13),cardinality(sK3)) | empty_set != empty_set | ~spl19_1146), 83.49/12.24 inference(superposition,[],[f73,f327263])). 83.49/12.24 tff(f327831,plain,( 83.49/12.24 spl19_1156 | ~spl19_10 | ~spl19_12 | ~spl19_1146), 83.49/12.24 inference(avatar_split_clause,[],[f327319,f327262,f134,f126,f327829])). 83.49/12.24 tff(f327319,plain,( 83.49/12.24 cardinality(union(sF13,sK3)) = $sum(1,sF16) | (~spl19_10 | ~spl19_12 | ~spl19_1146)), 83.49/12.24 inference(forward_demodulation,[],[f327318,f135])). 83.49/12.24 tff(f327318,plain,( 83.49/12.24 $sum(1,cardinality(sK3)) = cardinality(union(sF13,sK3)) | (~spl19_10 | ~spl19_1146)), 83.49/12.24 inference(trivial_inequality_removal,[],[f327295])). 83.49/12.24 tff(f327295,plain,( 83.49/12.24 $sum(1,cardinality(sK3)) = cardinality(union(sF13,sK3)) | empty_set != empty_set | (~spl19_10 | ~spl19_1146)), 83.49/12.24 inference(superposition,[],[f439,f327263])). 83.49/12.24 tff(f439,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set != intersection(sF13,X0) | cardinality(union(sF13,X0)) = $sum(1,cardinality(X0))) ) | ~spl19_10), 83.49/12.24 inference(superposition,[],[f404,f127])). 83.49/12.24 tff(f327827,plain,( 83.49/12.24 spl19_1155 | ~spl19_8 | ~spl19_12 | ~spl19_1145), 83.49/12.24 inference(avatar_split_clause,[],[f327293,f327258,f134,f118,f327824])). 83.49/12.24 tff(f327293,plain,( 83.49/12.24 cardinality(union(sF8,sK3)) = $sum(1,sF16) | (~spl19_8 | ~spl19_12 | ~spl19_1145)), 83.49/12.24 inference(forward_demodulation,[],[f327285,f135])). 83.49/12.24 tff(f327285,plain,( 83.49/12.24 cardinality(union(sF8,sK3)) = $sum(1,cardinality(sK3)) | (~spl19_8 | ~spl19_1145)), 83.49/12.24 inference(trivial_inequality_removal,[],[f327269])). 83.49/12.24 tff(f327269,plain,( 83.49/12.24 empty_set != empty_set | cardinality(union(sF8,sK3)) = $sum(1,cardinality(sK3)) | (~spl19_8 | ~spl19_1145)), 83.49/12.24 inference(superposition,[],[f437,f327259])). 83.49/12.24 tff(f437,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set != intersection(sF8,X0) | cardinality(union(sF8,X0)) = $sum(1,cardinality(X0))) ) | ~spl19_8), 83.49/12.24 inference(superposition,[],[f404,f119])). 83.49/12.24 tff(f327826,plain,( 83.49/12.24 spl19_1155 | ~spl19_12 | ~spl19_98 | ~spl19_1145), 83.49/12.24 inference(avatar_split_clause,[],[f327291,f327258,f6758,f134,f327824])). 83.49/12.24 tff(f6758,plain,( 83.49/12.24 spl19_98 <=> 1 = cardinality(sF8)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_98])])). 83.49/12.24 tff(f327291,plain,( 83.49/12.24 cardinality(union(sF8,sK3)) = $sum(1,sF16) | (~spl19_12 | ~spl19_98 | ~spl19_1145)), 83.49/12.24 inference(forward_demodulation,[],[f327290,f15])). 83.49/12.24 tff(f327290,plain,( 83.49/12.24 cardinality(union(sF8,sK3)) = $sum(sF16,1) | (~spl19_12 | ~spl19_98 | ~spl19_1145)), 83.49/12.24 inference(forward_demodulation,[],[f327289,f6759])). 83.49/12.24 tff(f6759,plain,( 83.49/12.24 1 = cardinality(sF8) | ~spl19_98), 83.49/12.24 inference(avatar_component_clause,[],[f6758])). 83.49/12.24 tff(f327289,plain,( 83.49/12.24 cardinality(union(sF8,sK3)) = $sum(sF16,cardinality(sF8)) | (~spl19_12 | ~spl19_1145)), 83.49/12.24 inference(forward_demodulation,[],[f327288,f15])). 83.49/12.24 tff(f327288,plain,( 83.49/12.24 cardinality(union(sF8,sK3)) = $sum(cardinality(sF8),sF16) | (~spl19_12 | ~spl19_1145)), 83.49/12.24 inference(forward_demodulation,[],[f327286,f135])). 83.49/12.24 tff(f327286,plain,( 83.49/12.24 cardinality(union(sF8,sK3)) = $sum(cardinality(sF8),cardinality(sK3)) | ~spl19_1145), 83.49/12.24 inference(trivial_inequality_removal,[],[f327277])). 83.49/12.24 tff(f327277,plain,( 83.49/12.24 empty_set != empty_set | cardinality(union(sF8,sK3)) = $sum(cardinality(sF8),cardinality(sK3)) | ~spl19_1145), 83.49/12.24 inference(superposition,[],[f73,f327259])). 83.49/12.24 tff(f327822,plain,( 83.49/12.24 spl19_1154 | ~spl19_12 | ~spl19_97 | ~spl19_1142), 83.49/12.24 inference(avatar_split_clause,[],[f327161,f327105,f6753,f134,f327820])). 83.49/12.24 tff(f327820,plain,( 83.49/12.24 spl19_1154 <=> $sum(1,sF16) = cardinality(union(sK3,sF11))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1154])])). 83.49/12.24 tff(f327161,plain,( 83.49/12.24 $sum(1,sF16) = cardinality(union(sK3,sF11)) | (~spl19_12 | ~spl19_97 | ~spl19_1142)), 83.49/12.24 inference(forward_demodulation,[],[f327160,f135])). 83.49/12.24 tff(f327160,plain,( 83.49/12.24 $sum(1,cardinality(sK3)) = cardinality(union(sK3,sF11)) | (~spl19_97 | ~spl19_1142)), 83.49/12.24 inference(forward_demodulation,[],[f327159,f15])). 83.49/12.24 tff(f327159,plain,( 83.49/12.24 $sum(cardinality(sK3),1) = cardinality(union(sK3,sF11)) | (~spl19_97 | ~spl19_1142)), 83.49/12.24 inference(forward_demodulation,[],[f327158,f6754])). 83.49/12.24 tff(f327158,plain,( 83.49/12.24 cardinality(union(sK3,sF11)) = $sum(cardinality(sK3),cardinality(sF11)) | ~spl19_1142), 83.49/12.24 inference(trivial_inequality_removal,[],[f327150])). 83.49/12.24 tff(f327150,plain,( 83.49/12.24 cardinality(union(sK3,sF11)) = $sum(cardinality(sK3),cardinality(sF11)) | empty_set != empty_set | ~spl19_1142), 83.49/12.24 inference(superposition,[],[f73,f327106])). 83.49/12.24 tff(f327818,plain,( 83.49/12.24 ~spl19_1152 | ~spl19_1153 | ~spl19_17), 83.49/12.24 inference(avatar_split_clause,[],[f323088,f154,f327816,f327813])). 83.49/12.24 tff(f327813,plain,( 83.49/12.24 spl19_1152 <=> $less(sF16,1)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1152])])). 83.49/12.24 tff(f327816,plain,( 83.49/12.24 spl19_1153 <=> $less(3,sF17)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1153])])). 83.49/12.24 tff(f323088,plain,( 83.49/12.24 ~$less(3,sF17) | ~$less(sF16,1) | ~spl19_17), 83.49/12.24 inference(resolution,[],[f306,f229])). 83.49/12.24 tff(f327811,plain,( 83.49/12.24 spl19_1151 | ~spl19_12 | ~spl19_100 | ~spl19_1141), 83.49/12.24 inference(avatar_split_clause,[],[f327140,f327100,f6794,f134,f327809])). 83.49/12.24 tff(f327809,plain,( 83.49/12.24 spl19_1151 <=> $sum(1,sF16) = cardinality(union(sK3,sF13))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1151])])). 83.49/12.24 tff(f327140,plain,( 83.49/12.24 $sum(1,sF16) = cardinality(union(sK3,sF13)) | (~spl19_12 | ~spl19_100 | ~spl19_1141)), 83.49/12.24 inference(forward_demodulation,[],[f327139,f135])). 83.49/12.24 tff(f327139,plain,( 83.49/12.24 $sum(1,cardinality(sK3)) = cardinality(union(sK3,sF13)) | (~spl19_100 | ~spl19_1141)), 83.49/12.24 inference(forward_demodulation,[],[f327138,f15])). 83.49/12.24 tff(f327138,plain,( 83.49/12.24 cardinality(union(sK3,sF13)) = $sum(cardinality(sK3),1) | (~spl19_100 | ~spl19_1141)), 83.49/12.24 inference(forward_demodulation,[],[f327137,f6795])). 83.49/12.24 tff(f327137,plain,( 83.49/12.24 cardinality(union(sK3,sF13)) = $sum(cardinality(sK3),cardinality(sF13)) | ~spl19_1141), 83.49/12.24 inference(trivial_inequality_removal,[],[f327129])). 83.49/12.24 tff(f327129,plain,( 83.49/12.24 cardinality(union(sK3,sF13)) = $sum(cardinality(sK3),cardinality(sF13)) | empty_set != empty_set | ~spl19_1141), 83.49/12.24 inference(superposition,[],[f73,f327101])). 83.49/12.24 tff(f327807,plain,( 83.49/12.24 spl19_1138 | ~spl19_12 | ~spl19_14 | ~spl19_98 | ~spl19_1139), 83.49/12.24 inference(avatar_split_clause,[],[f327419,f327002,f6758,f142,f134,f326999])). 83.49/12.24 tff(f326999,plain,( 83.49/12.24 spl19_1138 <=> cardinality(sF10) = $sum(1,sF16)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1138])])). 83.49/12.24 tff(f327002,plain,( 83.49/12.24 spl19_1139 <=> empty_set = intersection(sK3,sF8)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1139])])). 83.49/12.24 tff(f327419,plain,( 83.49/12.24 cardinality(sF10) = $sum(1,sF16) | (~spl19_12 | ~spl19_14 | ~spl19_98 | ~spl19_1139)), 83.49/12.24 inference(forward_demodulation,[],[f327418,f135])). 83.49/12.24 tff(f327418,plain,( 83.49/12.24 $sum(1,cardinality(sK3)) = cardinality(sF10) | (~spl19_14 | ~spl19_98 | ~spl19_1139)), 83.49/12.24 inference(forward_demodulation,[],[f327417,f143])). 83.49/12.24 tff(f327417,plain,( 83.49/12.24 $sum(1,cardinality(sK3)) = cardinality(union(sK3,sF8)) | (~spl19_98 | ~spl19_1139)), 83.49/12.24 inference(forward_demodulation,[],[f327416,f15])). 83.49/12.24 tff(f327416,plain,( 83.49/12.24 cardinality(union(sK3,sF8)) = $sum(cardinality(sK3),1) | (~spl19_98 | ~spl19_1139)), 83.49/12.24 inference(forward_demodulation,[],[f327415,f6759])). 83.49/12.24 tff(f327415,plain,( 83.49/12.24 cardinality(union(sK3,sF8)) = $sum(cardinality(sK3),cardinality(sF8)) | ~spl19_1139), 83.49/12.24 inference(trivial_inequality_removal,[],[f327407])). 83.49/12.24 tff(f327407,plain,( 83.49/12.24 empty_set != empty_set | cardinality(union(sK3,sF8)) = $sum(cardinality(sK3),cardinality(sF8)) | ~spl19_1139), 83.49/12.24 inference(superposition,[],[f73,f327003])). 83.49/12.24 tff(f327003,plain,( 83.49/12.24 empty_set = intersection(sK3,sF8) | ~spl19_1139), 83.49/12.24 inference(avatar_component_clause,[],[f327002])). 83.49/12.24 tff(f327370,plain,( 83.49/12.24 spl19_1150 | ~spl19_17), 83.49/12.24 inference(avatar_split_clause,[],[f324205,f154,f327368])). 83.49/12.24 tff(f327368,plain,( 83.49/12.24 spl19_1150 <=> sF16 = $sum(sF17,-3)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1150])])). 83.49/12.24 tff(f324205,plain,( 83.49/12.24 sF16 = $sum(sF17,-3) | ~spl19_17), 83.49/12.24 inference(evaluation,[],[f323688])). 83.49/12.24 tff(f323688,plain,( 83.49/12.24 $sum(sF17,$uminus(3)) = $sum(sF16,0) | ~spl19_17), 83.49/12.24 inference(superposition,[],[f325,f19])). 83.49/12.24 tff(f327364,plain,( 83.49/12.24 spl19_1149 | ~spl19_3), 83.49/12.24 inference(avatar_split_clause,[],[f327249,f98,f327362])). 83.49/12.24 tff(f327362,plain,( 83.49/12.24 spl19_1149 <=> empty_set = intersection(complement(sK4),sK3)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1149])])). 83.49/12.24 tff(f327249,plain,( 83.49/12.24 empty_set = intersection(complement(sK4),sK3) | ~spl19_3), 83.49/12.24 inference(duplicate_literal_removal,[],[f327240])). 83.49/12.24 tff(f327240,plain,( 83.49/12.24 empty_set = intersection(complement(sK4),sK3) | empty_set = intersection(complement(sK4),sK3) | ~spl19_3), 83.49/12.24 inference(resolution,[],[f321002,f4848])). 83.49/12.24 tff(f4848,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (~member(sK0(intersection(complement(X0),X1)),X0) | empty_set = intersection(complement(X0),X1)) )), 83.49/12.24 inference(resolution,[],[f233,f58])). 83.49/12.24 tff(f321002,plain,( 83.49/12.24 ( ! [X0 : set] : (member(sK0(intersection(X0,sK3)),sK4) | empty_set = intersection(X0,sK3)) ) | ~spl19_3), 83.49/12.24 inference(resolution,[],[f270,f234])). 83.49/12.24 tff(f327360,plain,( 83.49/12.24 spl19_1148 | ~spl19_3), 83.49/12.24 inference(avatar_split_clause,[],[f327079,f98,f327358])). 83.49/12.24 tff(f327358,plain,( 83.49/12.24 spl19_1148 <=> empty_set = intersection(sK3,complement(sK4))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1148])])). 83.49/12.24 tff(f327079,plain,( 83.49/12.24 empty_set = intersection(sK3,complement(sK4)) | ~spl19_3), 83.49/12.24 inference(duplicate_literal_removal,[],[f327069])). 83.49/12.24 tff(f327069,plain,( 83.49/12.24 empty_set = intersection(sK3,complement(sK4)) | empty_set = intersection(sK3,complement(sK4)) | ~spl19_3), 83.49/12.24 inference(resolution,[],[f320989,f4904])). 83.49/12.24 tff(f327334,plain,( 83.49/12.24 spl19_1147 | ~spl19_3 | ~spl19_9 | spl19_963), 83.49/12.24 inference(avatar_split_clause,[],[f327256,f275884,f122,f98,f327332])). 83.49/12.24 tff(f275884,plain,( 83.49/12.24 spl19_963 <=> member(sK6,sK4)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_963])])). 83.49/12.24 tff(f327256,plain,( 83.49/12.24 empty_set = intersection(sF11,sK3) | (~spl19_3 | ~spl19_9 | spl19_963)), 83.49/12.24 inference(subsumption_resolution,[],[f327248,f275885])). 83.49/12.24 tff(f275885,plain,( 83.49/12.24 ~member(sK6,sK4) | spl19_963), 83.49/12.24 inference(avatar_component_clause,[],[f275884])). 83.49/12.24 tff(f327248,plain,( 83.49/12.24 member(sK6,sK4) | empty_set = intersection(sF11,sK3) | (~spl19_3 | ~spl19_9)), 83.49/12.24 inference(duplicate_literal_removal,[],[f327245])). 83.49/12.24 tff(f327245,plain,( 83.49/12.24 member(sK6,sK4) | empty_set = intersection(sF11,sK3) | empty_set = intersection(sF11,sK3) | (~spl19_3 | ~spl19_9)), 83.49/12.24 inference(superposition,[],[f321002,f4857])). 83.49/12.24 tff(f4857,plain,( 83.49/12.24 ( ! [X0 : set] : (sK6 = sK0(intersection(sF11,X0)) | empty_set = intersection(sF11,X0)) ) | ~spl19_9), 83.49/12.24 inference(resolution,[],[f233,f205])). 83.49/12.24 tff(f327264,plain,( 83.49/12.24 spl19_1146 | ~spl19_3 | ~spl19_10 | spl19_961), 83.49/12.24 inference(avatar_split_clause,[],[f327255,f275796,f126,f98,f327262])). 83.49/12.24 tff(f275796,plain,( 83.49/12.24 spl19_961 <=> member(sK7,sK4)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_961])])). 83.49/12.24 tff(f327255,plain,( 83.49/12.24 empty_set = intersection(sF13,sK3) | (~spl19_3 | ~spl19_10 | spl19_961)), 83.49/12.24 inference(subsumption_resolution,[],[f327250,f275797])). 83.49/12.24 tff(f275797,plain,( 83.49/12.24 ~member(sK7,sK4) | spl19_961), 83.49/12.24 inference(avatar_component_clause,[],[f275796])). 83.49/12.24 tff(f327250,plain,( 83.49/12.24 member(sK7,sK4) | empty_set = intersection(sF13,sK3) | (~spl19_3 | ~spl19_10)), 83.49/12.24 inference(duplicate_literal_removal,[],[f327246])). 83.49/12.24 tff(f327246,plain,( 83.49/12.24 empty_set = intersection(sF13,sK3) | member(sK7,sK4) | empty_set = intersection(sF13,sK3) | (~spl19_3 | ~spl19_10)), 83.49/12.24 inference(superposition,[],[f321002,f4861])). 83.49/12.24 tff(f4861,plain,( 83.49/12.24 ( ! [X0 : set] : (sK7 = sK0(intersection(sF13,X0)) | empty_set = intersection(sF13,X0)) ) | ~spl19_10), 83.49/12.24 inference(resolution,[],[f233,f206])). 83.49/12.24 tff(f327260,plain,( 83.49/12.24 spl19_1145 | spl19_2 | ~spl19_3 | ~spl19_8), 83.49/12.24 inference(avatar_split_clause,[],[f327254,f118,f98,f94,f327258])). 83.49/12.24 tff(f327254,plain,( 83.49/12.24 empty_set = intersection(sF8,sK3) | (spl19_2 | ~spl19_3 | ~spl19_8)), 83.49/12.24 inference(subsumption_resolution,[],[f327253,f95])). 83.49/12.24 tff(f327253,plain,( 83.49/12.24 empty_set = intersection(sF8,sK3) | member(sK1,sK4) | (~spl19_3 | ~spl19_8)), 83.49/12.24 inference(duplicate_literal_removal,[],[f327244])). 83.49/12.24 tff(f327244,plain,( 83.49/12.24 member(sK1,sK4) | empty_set = intersection(sF8,sK3) | empty_set = intersection(sF8,sK3) | (~spl19_3 | ~spl19_8)), 83.49/12.24 inference(superposition,[],[f321002,f4851])). 83.49/12.24 tff(f327115,plain,( 83.49/12.24 spl19_1144 | ~spl19_3), 83.49/12.24 inference(avatar_split_clause,[],[f327092,f98,f327113])). 83.49/12.24 tff(f327113,plain,( 83.49/12.24 spl19_1144 <=> empty_set = difference(sK3,sK4)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1144])])). 83.49/12.24 tff(f327092,plain,( 83.49/12.24 empty_set = difference(sK3,sK4) | ~spl19_3), 83.49/12.24 inference(duplicate_literal_removal,[],[f327087])). 83.49/12.24 tff(f327087,plain,( 83.49/12.24 empty_set = difference(sK3,sK4) | empty_set = difference(sK3,sK4) | ~spl19_3), 83.49/12.24 inference(resolution,[],[f320998,f246])). 83.49/12.24 tff(f327111,plain,( 83.49/12.24 spl19_1143 | ~spl19_3 | ~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f327093,f158,f138,f114,f106,f98,f327109])). 83.49/12.24 tff(f327109,plain,( 83.49/12.24 spl19_1143 <=> empty_set = difference(sK3,sK2)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1143])])). 83.49/12.24 tff(f327093,plain,( 83.49/12.24 empty_set = difference(sK3,sK2) | (~spl19_3 | ~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f327086])). 83.49/12.24 tff(f327086,plain,( 83.49/12.24 empty_set = difference(sK3,sK2) | empty_set = difference(sK3,sK2) | (~spl19_3 | ~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(resolution,[],[f320998,f322889])). 83.49/12.24 tff(f327107,plain,( 83.49/12.24 spl19_1142 | ~spl19_3 | ~spl19_9 | spl19_963), 83.49/12.24 inference(avatar_split_clause,[],[f327085,f275884,f122,f98,f327105])). 83.49/12.24 tff(f327085,plain,( 83.49/12.24 empty_set = intersection(sK3,sF11) | (~spl19_3 | ~spl19_9 | spl19_963)), 83.49/12.24 inference(subsumption_resolution,[],[f327077,f275885])). 83.49/12.24 tff(f327077,plain,( 83.49/12.24 empty_set = intersection(sK3,sF11) | member(sK6,sK4) | (~spl19_3 | ~spl19_9)), 83.49/12.24 inference(duplicate_literal_removal,[],[f327075])). 83.49/12.24 tff(f327075,plain,( 83.49/12.24 empty_set = intersection(sK3,sF11) | empty_set = intersection(sK3,sF11) | member(sK6,sK4) | (~spl19_3 | ~spl19_9)), 83.49/12.24 inference(superposition,[],[f320989,f4913])). 83.49/12.24 tff(f327103,plain,( 83.49/12.24 spl19_1139 | spl19_2 | ~spl19_3 | ~spl19_8), 83.49/12.24 inference(avatar_split_clause,[],[f327084,f118,f98,f94,f327002])). 83.49/12.24 tff(f327084,plain,( 83.49/12.24 empty_set = intersection(sK3,sF8) | (spl19_2 | ~spl19_3 | ~spl19_8)), 83.49/12.24 inference(subsumption_resolution,[],[f327081,f95])). 83.49/12.24 tff(f327081,plain,( 83.49/12.24 member(sK1,sK4) | empty_set = intersection(sK3,sF8) | (~spl19_3 | ~spl19_8)), 83.49/12.24 inference(duplicate_literal_removal,[],[f327074])). 83.49/12.24 tff(f327074,plain,( 83.49/12.24 member(sK1,sK4) | empty_set = intersection(sK3,sF8) | empty_set = intersection(sK3,sF8) | (~spl19_3 | ~spl19_8)), 83.49/12.24 inference(superposition,[],[f320989,f4907])). 83.49/12.24 tff(f327102,plain,( 83.49/12.24 spl19_1141 | ~spl19_3 | ~spl19_10 | spl19_961), 83.49/12.24 inference(avatar_split_clause,[],[f327083,f275796,f126,f98,f327100])). 83.49/12.24 tff(f327083,plain,( 83.49/12.24 empty_set = intersection(sK3,sF13) | (~spl19_3 | ~spl19_10 | spl19_961)), 83.49/12.24 inference(subsumption_resolution,[],[f327082,f275797])). 83.49/12.24 tff(f327082,plain,( 83.49/12.24 empty_set = intersection(sK3,sF13) | member(sK7,sK4) | (~spl19_3 | ~spl19_10)), 83.49/12.24 inference(duplicate_literal_removal,[],[f327076])). 83.49/12.24 tff(f327076,plain,( 83.49/12.24 empty_set = intersection(sK3,sF13) | member(sK7,sK4) | empty_set = intersection(sK3,sF13) | (~spl19_3 | ~spl19_10)), 83.49/12.24 inference(superposition,[],[f320989,f4917])). 83.49/12.24 tff(f4917,plain,( 83.49/12.24 ( ! [X0 : set] : (sK7 = sK0(intersection(X0,sF13)) | empty_set = intersection(X0,sF13)) ) | ~spl19_10), 83.49/12.24 inference(resolution,[],[f234,f206])). 83.49/12.24 tff(f327066,plain,( 83.49/12.24 spl19_1140 | ~spl19_1136), 83.49/12.24 inference(avatar_split_clause,[],[f327058,f326972,f327064])). 83.49/12.24 tff(f326972,plain,( 83.49/12.24 spl19_1136 <=> $less(-7,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1136])])). 83.49/12.24 tff(f327058,plain,( 83.49/12.24 $less(-8,sF15) | ~spl19_1136), 83.49/12.24 inference(evaluation,[],[f327049])). 83.49/12.24 tff(f327049,plain,( 83.49/12.24 $less($sum(-1,-7),sF15) | ~spl19_1136), 83.49/12.24 inference(resolution,[],[f326997,f729])). 83.49/12.24 tff(f326997,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-7) | $less(X0,sF15)) ) | ~spl19_1136), 83.49/12.24 inference(resolution,[],[f326973,f21])). 83.49/12.24 tff(f326973,plain,( 83.49/12.24 $less(-7,sF15) | ~spl19_1136), 83.49/12.24 inference(avatar_component_clause,[],[f326972])). 83.49/12.24 tff(f327004,plain,( 83.49/12.24 ~spl19_1138 | spl19_1139 | ~spl19_12 | ~spl19_14 | ~spl19_98), 83.49/12.24 inference(avatar_split_clause,[],[f326990,f6758,f142,f134,f327002,f326999])). 83.49/12.24 tff(f326990,plain,( 83.49/12.24 cardinality(sF10) != $sum(1,sF16) | empty_set = intersection(sK3,sF8) | (~spl19_12 | ~spl19_14 | ~spl19_98)), 83.49/12.24 inference(forward_demodulation,[],[f326989,f15])). 83.49/12.24 tff(f326989,plain,( 83.49/12.24 empty_set = intersection(sK3,sF8) | cardinality(sF10) != $sum(sF16,1) | (~spl19_12 | ~spl19_14 | ~spl19_98)), 83.49/12.24 inference(forward_demodulation,[],[f326987,f6759])). 83.49/12.24 tff(f326987,plain,( 83.49/12.24 empty_set = intersection(sK3,sF8) | cardinality(sF10) != $sum(sF16,cardinality(sF8)) | (~spl19_12 | ~spl19_14)), 83.49/12.24 inference(superposition,[],[f376,f143])). 83.49/12.24 tff(f376,plain,( 83.49/12.24 ( ! [X0 : set] : (cardinality(union(sK3,X0)) != $sum(sF16,cardinality(X0)) | empty_set = intersection(sK3,X0)) ) | ~spl19_12), 83.49/12.24 inference(superposition,[],[f74,f135])). 83.49/12.24 tff(f74,plain,( 83.49/12.24 ( ! [X0 : set,X1 : set] : (cardinality(union(X1,X0)) != $sum(cardinality(X1),cardinality(X0)) | empty_set = intersection(X1,X0)) )), 83.49/12.24 inference(cnf_transformation,[],[f32])). 83.49/12.24 tff(f326994,plain,( 83.49/12.24 spl19_1137 | ~spl19_5 | ~spl19_7 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f326818,f158,f114,f106,f326992])). 83.49/12.24 tff(f326992,plain,( 83.49/12.24 spl19_1137 <=> empty_set = difference(sF9,complement(empty_set))), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1137])])). 83.49/12.24 tff(f326818,plain,( 83.49/12.24 empty_set = difference(sF9,complement(empty_set)) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f326817,f5063])). 83.49/12.24 tff(f326974,plain,( 83.49/12.24 spl19_1136 | ~spl19_1135), 83.49/12.24 inference(avatar_split_clause,[],[f326943,f326870,f326972])). 83.49/12.24 tff(f326870,plain,( 83.49/12.24 spl19_1135 <=> $less(-6,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1135])])). 83.49/12.24 tff(f326943,plain,( 83.49/12.24 $less(-7,sF15) | ~spl19_1135), 83.49/12.24 inference(evaluation,[],[f326934])). 83.49/12.24 tff(f326934,plain,( 83.49/12.24 $less($sum(-1,-6),sF15) | ~spl19_1135), 83.49/12.24 inference(resolution,[],[f326908,f729])). 83.49/12.24 tff(f326908,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-6) | $less(X0,sF15)) ) | ~spl19_1135), 83.49/12.24 inference(resolution,[],[f326871,f21])). 83.49/12.24 tff(f326871,plain,( 83.49/12.24 $less(-6,sF15) | ~spl19_1135), 83.49/12.24 inference(avatar_component_clause,[],[f326870])). 83.49/12.24 tff(f326905,plain,( 83.49/12.24 spl19_352 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_25 | ~spl19_145), 83.49/12.24 inference(avatar_split_clause,[],[f270300,f52201,f216,f158,f138,f126,f106,f66625])). 83.49/12.24 tff(f66625,plain,( 83.49/12.24 spl19_352 <=> empty_set = intersection(sF13,sF8)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_352])])). 83.49/12.24 tff(f52201,plain,( 83.49/12.24 spl19_145 <=> empty_set = intersection(sF13,sF18)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_145])])). 83.49/12.24 tff(f270300,plain,( 83.49/12.24 empty_set = intersection(sF13,sF8) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_25 | ~spl19_145)), 83.49/12.24 inference(subsumption_resolution,[],[f270299,f217])). 83.49/12.24 tff(f270299,plain,( 83.49/12.24 empty_set = intersection(sF13,sF8) | ~member(sK7,sF13) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_145)), 83.49/12.24 inference(duplicate_literal_removal,[],[f270287])). 83.49/12.24 tff(f270287,plain,( 83.49/12.24 ~member(sK7,sF13) | empty_set = intersection(sF13,sF8) | empty_set = intersection(sF13,sF8) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_145)), 83.49/12.24 inference(superposition,[],[f66530,f4861])). 83.49/12.24 tff(f66530,plain,( 83.49/12.24 ( ! [X0 : set] : (~member(sK0(intersection(X0,sF8)),sF13) | empty_set = intersection(X0,sF8)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_145)), 83.49/12.24 inference(resolution,[],[f66510,f52220])). 83.49/12.24 tff(f52220,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF18) | ~member(X0,sF13)) ) | ~spl19_145), 83.49/12.24 inference(subsumption_resolution,[],[f52215,f162])). 83.49/12.24 tff(f52215,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF13) | member(X0,empty_set) | ~member(X0,sF18)) ) | ~spl19_145), 83.49/12.24 inference(superposition,[],[f46,f52202])). 83.49/12.24 tff(f52202,plain,( 83.49/12.24 empty_set = intersection(sF13,sF18) | ~spl19_145), 83.49/12.24 inference(avatar_component_clause,[],[f52201])). 83.49/12.24 tff(f326872,plain,( 83.49/12.24 spl19_1135 | ~spl19_1132), 83.49/12.24 inference(avatar_split_clause,[],[f326669,f326497,f326870])). 83.49/12.24 tff(f326497,plain,( 83.49/12.24 spl19_1132 <=> $less(-5,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1132])])). 83.49/12.24 tff(f326669,plain,( 83.49/12.24 $less(-6,sF15) | ~spl19_1132), 83.49/12.24 inference(evaluation,[],[f326641])). 83.49/12.24 tff(f326641,plain,( 83.49/12.24 $less($sum(-5,-1),sF15) | ~spl19_1132), 83.49/12.24 inference(resolution,[],[f326503,f867])). 83.49/12.24 tff(f326503,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-5) | $less(X0,sF15)) ) | ~spl19_1132), 83.49/12.24 inference(resolution,[],[f326498,f21])). 83.49/12.24 tff(f326498,plain,( 83.49/12.24 $less(-5,sF15) | ~spl19_1132), 83.49/12.24 inference(avatar_component_clause,[],[f326497])). 83.49/12.24 tff(f326868,plain,( 83.49/12.24 spl19_352 | ~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_145), 83.49/12.24 inference(avatar_split_clause,[],[f270297,f52201,f158,f138,f106,f66625])). 83.49/12.24 tff(f270297,plain,( 83.49/12.24 empty_set = intersection(sF13,sF8) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_145)), 83.49/12.24 inference(duplicate_literal_removal,[],[f270281])). 83.49/12.24 tff(f270281,plain,( 83.49/12.24 empty_set = intersection(sF13,sF8) | empty_set = intersection(sF13,sF8) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_145)), 83.49/12.24 inference(resolution,[],[f66530,f233])). 83.49/12.24 tff(f326634,plain,( 83.49/12.24 spl19_1134 | ~spl19_18 | ~spl19_1030), 83.49/12.24 inference(avatar_split_clause,[],[f326393,f310081,f158,f326632])). 83.49/12.24 tff(f326632,plain,( 83.49/12.24 spl19_1134 <=> member(sK0(intersection(sF12,complement(sF11))),sF18)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1134])])). 83.49/12.24 tff(f310081,plain,( 83.49/12.24 spl19_1030 <=> member(sK0(intersection(sF12,complement(sF11))),sK5)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1030])])). 83.49/12.24 tff(f326393,plain,( 83.49/12.24 member(sK0(intersection(sF12,complement(sF11))),sF18) | (~spl19_18 | ~spl19_1030)), 83.49/12.24 inference(resolution,[],[f310082,f243])). 83.49/12.24 tff(f310082,plain,( 83.49/12.24 member(sK0(intersection(sF12,complement(sF11))),sK5) | ~spl19_1030), 83.49/12.24 inference(avatar_component_clause,[],[f310081])). 83.49/12.24 tff(f326569,plain,( 83.49/12.24 spl19_1133 | ~spl19_351 | ~spl19_1030), 83.49/12.24 inference(avatar_split_clause,[],[f326392,f310081,f66621,f326567])). 83.49/12.24 tff(f326567,plain,( 83.49/12.24 spl19_1133 <=> member(sK0(intersection(sF12,complement(sF11))),sK2)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1133])])). 83.49/12.24 tff(f66621,plain,( 83.49/12.24 spl19_351 <=> empty_set = difference(sK5,sK2)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_351])])). 83.49/12.24 tff(f326392,plain,( 83.49/12.24 member(sK0(intersection(sF12,complement(sF11))),sK2) | (~spl19_351 | ~spl19_1030)), 83.49/12.24 inference(resolution,[],[f310082,f66648])). 83.49/12.24 tff(f66648,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sK5) | member(X0,sK2)) ) | ~spl19_351), 83.49/12.24 inference(subsumption_resolution,[],[f66632,f162])). 83.49/12.24 tff(f66632,plain,( 83.49/12.24 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sK5) | member(X0,sK2)) ) | ~spl19_351), 83.49/12.24 inference(superposition,[],[f61,f66622])). 83.49/12.24 tff(f66622,plain,( 83.49/12.24 empty_set = difference(sK5,sK2) | ~spl19_351), 83.49/12.24 inference(avatar_component_clause,[],[f66621])). 83.49/12.24 tff(f326500,plain,( 83.49/12.24 spl19_352 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | spl19_147), 83.49/12.24 inference(avatar_split_clause,[],[f92906,f52209,f158,f138,f126,f106,f66625])). 83.49/12.24 tff(f92906,plain,( 83.49/12.24 empty_set = intersection(sF13,sF8) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | spl19_147)), 83.49/12.24 inference(subsumption_resolution,[],[f92813,f84082])). 83.49/12.24 tff(f92813,plain,( 83.49/12.24 member(sK7,sF18) | empty_set = intersection(sF13,sF8) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f92313,f127])). 83.49/12.24 tff(f92313,plain,( 83.49/12.24 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF8) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f92286])). 83.49/12.24 tff(f92286,plain,( 83.49/12.24 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF8) | member(X0,sF18) | empty_set = intersection(singleton(X0),sF8)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f66510,f4842])). 83.49/12.24 tff(f326499,plain,( 83.49/12.24 spl19_1132 | ~spl19_1129), 83.49/12.24 inference(avatar_split_clause,[],[f326428,f326122,f326497])). 83.49/12.24 tff(f326122,plain,( 83.49/12.24 spl19_1129 <=> $less(-4,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1129])])). 83.49/12.24 tff(f326428,plain,( 83.49/12.24 $less(-5,sF15) | ~spl19_1129), 83.49/12.24 inference(evaluation,[],[f326419])). 83.49/12.24 tff(f326419,plain,( 83.49/12.24 $less($sum(-1,-4),sF15) | ~spl19_1129), 83.49/12.24 inference(resolution,[],[f326238,f729])). 83.49/12.24 tff(f326238,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-4) | $less(X0,sF15)) ) | ~spl19_1129), 83.49/12.24 inference(resolution,[],[f326123,f21])). 83.49/12.24 tff(f326123,plain,( 83.49/12.24 $less(-4,sF15) | ~spl19_1129), 83.49/12.24 inference(avatar_component_clause,[],[f326122])). 83.49/12.24 tff(f326375,plain,( 83.49/12.24 spl19_1096 | spl19_1131 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f325971,f158,f126,f114,f106,f326373,f320407])). 83.49/12.24 tff(f325971,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(sF13,sK2) | ~member(sK7,intersection(sF9,X0))) ) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f325948])). 83.49/12.24 tff(f325948,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(sF13,sK2) | ~member(sK7,intersection(sF9,X0)) | empty_set = difference(sF13,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f323223,f5006])). 83.49/12.24 tff(f326235,plain,( 83.49/12.24 spl19_170 | ~spl19_8 | ~spl19_41 | ~spl19_141), 83.49/12.24 inference(avatar_split_clause,[],[f72714,f51939,f488,f118,f53141])). 83.49/12.24 tff(f53141,plain,( 83.49/12.24 spl19_170 <=> empty_set = intersection(sF8,sF11)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_170])])). 83.49/12.24 tff(f488,plain,( 83.49/12.24 spl19_41 <=> member(sK1,sF9)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_41])])). 83.49/12.24 tff(f51939,plain,( 83.49/12.24 spl19_141 <=> empty_set = intersection(sF11,sF9)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_141])])). 83.49/12.24 tff(f72714,plain,( 83.49/12.24 empty_set = intersection(sF8,sF11) | (~spl19_8 | ~spl19_41 | ~spl19_141)), 83.49/12.24 inference(subsumption_resolution,[],[f72711,f489])). 83.49/12.24 tff(f489,plain,( 83.49/12.24 member(sK1,sF9) | ~spl19_41), 83.49/12.24 inference(avatar_component_clause,[],[f488])). 83.49/12.24 tff(f72711,plain,( 83.49/12.24 empty_set = intersection(sF8,sF11) | ~member(sK1,sF9) | (~spl19_8 | ~spl19_141)), 83.49/12.24 inference(duplicate_literal_removal,[],[f72706])). 83.49/12.24 tff(f72706,plain,( 83.49/12.24 empty_set = intersection(sF8,sF11) | ~member(sK1,sF9) | empty_set = intersection(sF8,sF11) | (~spl19_8 | ~spl19_141)), 83.49/12.24 inference(superposition,[],[f51967,f4851])). 83.49/12.24 tff(f51967,plain,( 83.49/12.24 ( ! [X0 : set] : (~member(sK0(intersection(X0,sF11)),sF9) | empty_set = intersection(X0,sF11)) ) | ~spl19_141), 83.49/12.24 inference(resolution,[],[f51950,f234])). 83.49/12.24 tff(f51950,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF11) | ~member(X0,sF9)) ) | ~spl19_141), 83.49/12.24 inference(subsumption_resolution,[],[f51945,f162])). 83.49/12.24 tff(f51945,plain,( 83.49/12.24 ( ! [X0 : element] : (~member(X0,sF9) | ~member(X0,sF11) | member(X0,empty_set)) ) | ~spl19_141), 83.49/12.24 inference(superposition,[],[f46,f51940])). 83.49/12.24 tff(f51940,plain,( 83.49/12.24 empty_set = intersection(sF11,sF9) | ~spl19_141), 83.49/12.24 inference(avatar_component_clause,[],[f51939])). 83.49/12.24 tff(f326234,plain,( 83.49/12.24 ~spl19_1130 | ~spl19_145 | ~spl19_1124), 83.49/12.24 inference(avatar_split_clause,[],[f325799,f325078,f52201,f326232])). 83.49/12.24 tff(f326232,plain,( 83.49/12.24 spl19_1130 <=> member(sK0(union(sF10,empty_set)),sF13)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1130])])). 83.49/12.24 tff(f325078,plain,( 83.49/12.24 spl19_1124 <=> member(sK0(union(sF10,empty_set)),sF18)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1124])])). 83.49/12.24 tff(f325799,plain,( 83.49/12.24 ~member(sK0(union(sF10,empty_set)),sF13) | (~spl19_145 | ~spl19_1124)), 83.49/12.24 inference(resolution,[],[f325079,f52220])). 83.49/12.24 tff(f325079,plain,( 83.49/12.24 member(sK0(union(sF10,empty_set)),sF18) | ~spl19_1124), 83.49/12.24 inference(avatar_component_clause,[],[f325078])). 83.49/12.24 tff(f326124,plain,( 83.49/12.24 spl19_1129 | ~spl19_1118), 83.49/12.24 inference(avatar_split_clause,[],[f326116,f323614,f326122])). 83.49/12.24 tff(f323614,plain,( 83.49/12.24 spl19_1118 <=> $less(-3,sF15)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1118])])). 83.49/12.24 tff(f326116,plain,( 83.49/12.24 $less(-4,sF15) | ~spl19_1118), 83.49/12.24 inference(evaluation,[],[f326107])). 83.49/12.24 tff(f326107,plain,( 83.49/12.24 $less($sum(-1,-3),sF15) | ~spl19_1118), 83.49/12.24 inference(resolution,[],[f323620,f729])). 83.49/12.24 tff(f323620,plain,( 83.49/12.24 ( ! [X0 : $int] : (~$less(X0,-3) | $less(X0,sF15)) ) | ~spl19_1118), 83.49/12.24 inference(resolution,[],[f323615,f21])). 83.49/12.24 tff(f323615,plain,( 83.49/12.24 $less(-3,sF15) | ~spl19_1118), 83.49/12.24 inference(avatar_component_clause,[],[f323614])). 83.49/12.24 tff(f325976,plain,( 83.49/12.24 ~spl19_1128 | ~spl19_145 | ~spl19_1121), 83.49/12.24 inference(avatar_split_clause,[],[f325240,f324961,f52201,f325974])). 83.49/12.24 tff(f325974,plain,( 83.49/12.24 spl19_1128 <=> member(sK0(union(sF10,sF10)),sF13)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1128])])). 83.49/12.24 tff(f324961,plain,( 83.49/12.24 spl19_1121 <=> member(sK0(union(sF10,sF10)),sF18)), 83.49/12.24 introduced(avatar_definition,[new_symbols(naming,[spl19_1121])])). 83.49/12.24 tff(f325240,plain,( 83.49/12.24 ~member(sK0(union(sF10,sF10)),sF13) | (~spl19_145 | ~spl19_1121)), 83.49/12.24 inference(resolution,[],[f324962,f52220])). 83.49/12.24 tff(f324962,plain,( 83.49/12.24 member(sK0(union(sF10,sF10)),sF18) | ~spl19_1121), 83.49/12.24 inference(avatar_component_clause,[],[f324961])). 83.49/12.24 tff(f325586,plain,( 83.49/12.24 spl19_1096 | spl19_1127 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18), 83.49/12.24 inference(avatar_split_clause,[],[f325223,f158,f126,f114,f106,f325584,f320407])). 83.49/12.24 tff(f325223,plain,( 83.49/12.24 ( ! [X0 : set] : (~member(sK7,intersection(X0,sF9)) | empty_set = difference(sF13,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.24 inference(duplicate_literal_removal,[],[f325200])). 83.49/12.24 tff(f325200,plain,( 83.49/12.24 ( ! [X0 : set] : (empty_set = difference(sF13,sK2) | empty_set = difference(sF13,sK2) | ~member(sK7,intersection(X0,sF9))) ) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.24 inference(superposition,[],[f323175,f5006])). 83.49/12.24 tff(f325088,plain,( 83.49/12.24 spl19_1126 | ~spl19_18 | ~spl19_1020), 83.49/12.24 inference(avatar_split_clause,[],[f323221,f303603,f158,f325086])). 83.49/12.24 tff(f325086,plain,( 83.49/12.25 spl19_1126 <=> member(sK0(complement(complement(sF10))),sF18)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1126])])). 83.49/12.25 tff(f303603,plain,( 83.49/12.25 spl19_1020 <=> member(sK0(complement(complement(sF10))),sK5)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1020])])). 83.49/12.25 tff(f323221,plain,( 83.49/12.25 member(sK0(complement(complement(sF10))),sF18) | (~spl19_18 | ~spl19_1020)), 83.49/12.25 inference(resolution,[],[f303604,f243])). 83.49/12.25 tff(f303604,plain,( 83.49/12.25 member(sK0(complement(complement(sF10))),sK5) | ~spl19_1020), 83.49/12.25 inference(avatar_component_clause,[],[f303603])). 83.49/12.25 tff(f325084,plain,( 83.49/12.25 spl19_1125 | ~spl19_351 | ~spl19_1020), 83.49/12.25 inference(avatar_split_clause,[],[f323220,f303603,f66621,f325082])). 83.49/12.25 tff(f325082,plain,( 83.49/12.25 spl19_1125 <=> member(sK0(complement(complement(sF10))),sK2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1125])])). 83.49/12.25 tff(f323220,plain,( 83.49/12.25 member(sK0(complement(complement(sF10))),sK2) | (~spl19_351 | ~spl19_1020)), 83.49/12.25 inference(resolution,[],[f303604,f66648])). 83.49/12.25 tff(f325080,plain,( 83.49/12.25 spl19_1124 | ~spl19_18 | ~spl19_1018), 83.49/12.25 inference(avatar_split_clause,[],[f323076,f303596,f158,f325078])). 83.49/12.25 tff(f303596,plain,( 83.49/12.25 spl19_1018 <=> member(sK0(union(sF10,empty_set)),sK5)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1018])])). 83.49/12.25 tff(f323076,plain,( 83.49/12.25 member(sK0(union(sF10,empty_set)),sF18) | (~spl19_18 | ~spl19_1018)), 83.49/12.25 inference(resolution,[],[f303597,f243])). 83.49/12.25 tff(f303597,plain,( 83.49/12.25 member(sK0(union(sF10,empty_set)),sK5) | ~spl19_1018), 83.49/12.25 inference(avatar_component_clause,[],[f303596])). 83.49/12.25 tff(f325035,plain,( 83.49/12.25 spl19_1123 | ~spl19_351 | ~spl19_1018), 83.49/12.25 inference(avatar_split_clause,[],[f323075,f303596,f66621,f325033])). 83.49/12.25 tff(f325033,plain,( 83.49/12.25 spl19_1123 <=> member(sK0(union(sF10,empty_set)),sK2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1123])])). 83.49/12.25 tff(f323075,plain,( 83.49/12.25 member(sK0(union(sF10,empty_set)),sK2) | (~spl19_351 | ~spl19_1018)), 83.49/12.25 inference(resolution,[],[f303597,f66648])). 83.49/12.25 tff(f325031,plain,( 83.49/12.25 spl19_1122 | ~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18), 83.49/12.25 inference(avatar_split_clause,[],[f325024,f158,f138,f114,f106,f325029])). 83.49/12.25 tff(f325029,plain,( 83.49/12.25 spl19_1122 <=> empty_set = intersection(sK4,complement(sK2))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1122])])). 83.49/12.25 tff(f325024,plain,( 83.49/12.25 empty_set = intersection(sK4,complement(sK2)) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(duplicate_literal_removal,[],[f325016])). 83.49/12.25 tff(f325016,plain,( 83.49/12.25 empty_set = intersection(sK4,complement(sK2)) | empty_set = intersection(sK4,complement(sK2)) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f324649,f4904])). 83.49/12.25 tff(f324963,plain,( 83.49/12.25 spl19_1121 | ~spl19_18 | ~spl19_1016), 83.49/12.25 inference(avatar_split_clause,[],[f323018,f303589,f158,f324961])). 83.49/12.25 tff(f303589,plain,( 83.49/12.25 spl19_1016 <=> member(sK0(union(sF10,sF10)),sK5)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1016])])). 83.49/12.25 tff(f323018,plain,( 83.49/12.25 member(sK0(union(sF10,sF10)),sF18) | (~spl19_18 | ~spl19_1016)), 83.49/12.25 inference(resolution,[],[f303590,f243])). 83.49/12.25 tff(f303590,plain,( 83.49/12.25 member(sK0(union(sF10,sF10)),sK5) | ~spl19_1016), 83.49/12.25 inference(avatar_component_clause,[],[f303589])). 83.49/12.25 tff(f324959,plain,( 83.49/12.25 spl19_1120 | ~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18), 83.49/12.25 inference(avatar_split_clause,[],[f324951,f158,f138,f114,f106,f324957])). 83.49/12.25 tff(f324957,plain,( 83.49/12.25 spl19_1120 <=> empty_set = intersection(complement(sK2),sK4)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1120])])). 83.49/12.25 tff(f324951,plain,( 83.49/12.25 empty_set = intersection(complement(sK2),sK4) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(duplicate_literal_removal,[],[f324940])). 83.49/12.25 tff(f324940,plain,( 83.49/12.25 empty_set = intersection(complement(sK2),sK4) | empty_set = intersection(complement(sK2),sK4) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f324621,f4848])). 83.49/12.25 tff(f324877,plain,( 83.49/12.25 spl19_1119 | ~spl19_351 | ~spl19_1016), 83.49/12.25 inference(avatar_split_clause,[],[f323017,f303589,f66621,f324875])). 83.49/12.25 tff(f324875,plain,( 83.49/12.25 spl19_1119 <=> member(sK0(union(sF10,sF10)),sK2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1119])])). 83.49/12.25 tff(f323017,plain,( 83.49/12.25 member(sK0(union(sF10,sF10)),sK2) | (~spl19_351 | ~spl19_1016)), 83.49/12.25 inference(resolution,[],[f303590,f66648])). 83.49/12.25 tff(f324787,plain,( 83.49/12.25 spl19_935 | ~spl19_751 | ~spl19_896), 83.49/12.25 inference(avatar_split_clause,[],[f322932,f269816,f210555,f272365])). 83.49/12.25 tff(f272365,plain,( 83.49/12.25 spl19_935 <=> member(sK0(intersection(sF14,sF9)),sF18)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_935])])). 83.49/12.25 tff(f210555,plain,( 83.49/12.25 spl19_751 <=> empty_set = intersection(sF12,complement(sF18))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_751])])). 83.49/12.25 tff(f269816,plain,( 83.49/12.25 spl19_896 <=> member(sK0(intersection(sF14,sF9)),sF12)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_896])])). 83.49/12.25 tff(f322932,plain,( 83.49/12.25 member(sK0(intersection(sF14,sF9)),sF18) | (~spl19_751 | ~spl19_896)), 83.49/12.25 inference(resolution,[],[f286079,f269817])). 83.49/12.25 tff(f269817,plain,( 83.49/12.25 member(sK0(intersection(sF14,sF9)),sF12) | ~spl19_896), 83.49/12.25 inference(avatar_component_clause,[],[f269816])). 83.49/12.25 tff(f286079,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF12) | member(X0,sF18)) ) | ~spl19_751), 83.49/12.25 inference(resolution,[],[f210666,f57])). 83.49/12.25 tff(f210666,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,complement(sF18)) | ~member(X0,sF12)) ) | ~spl19_751), 83.49/12.25 inference(subsumption_resolution,[],[f210564,f162])). 83.49/12.25 tff(f210564,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF12) | ~member(X0,complement(sF18)) | member(X0,empty_set)) ) | ~spl19_751), 83.49/12.25 inference(superposition,[],[f46,f210556])). 83.49/12.25 tff(f210556,plain,( 83.49/12.25 empty_set = intersection(sF12,complement(sF18)) | ~spl19_751), 83.49/12.25 inference(avatar_component_clause,[],[f210555])). 83.49/12.25 tff(f324737,plain,( 83.49/12.25 spl19_936 | ~spl19_751 | ~spl19_899), 83.49/12.25 inference(avatar_split_clause,[],[f322931,f269827,f210555,f272369])). 83.49/12.25 tff(f272369,plain,( 83.49/12.25 spl19_936 <=> member(sK0(intersection(sF9,sF14)),sF18)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_936])])). 83.49/12.25 tff(f269827,plain,( 83.49/12.25 spl19_899 <=> member(sK0(intersection(sF9,sF14)),sF12)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_899])])). 83.49/12.25 tff(f322931,plain,( 83.49/12.25 member(sK0(intersection(sF9,sF14)),sF18) | (~spl19_751 | ~spl19_899)), 83.49/12.25 inference(resolution,[],[f286079,f269828])). 83.49/12.25 tff(f269828,plain,( 83.49/12.25 member(sK0(intersection(sF9,sF14)),sF12) | ~spl19_899), 83.49/12.25 inference(avatar_component_clause,[],[f269827])). 83.49/12.25 tff(f323616,plain,( 83.49/12.25 spl19_1118 | ~spl19_1074), 83.49/12.25 inference(avatar_split_clause,[],[f323516,f319635,f323614])). 83.49/12.25 tff(f319635,plain,( 83.49/12.25 spl19_1074 <=> $less(-2,sF15)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1074])])). 83.49/12.25 tff(f323516,plain,( 83.49/12.25 $less(-3,sF15) | ~spl19_1074), 83.49/12.25 inference(evaluation,[],[f323507])). 83.49/12.25 tff(f323507,plain,( 83.49/12.25 $less($sum(-1,-2),sF15) | ~spl19_1074), 83.49/12.25 inference(resolution,[],[f319642,f729])). 83.49/12.25 tff(f319642,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less(X0,-2) | $less(X0,sF15)) ) | ~spl19_1074), 83.49/12.25 inference(resolution,[],[f319636,f21])). 83.49/12.25 tff(f319636,plain,( 83.49/12.25 $less(-2,sF15) | ~spl19_1074), 83.49/12.25 inference(avatar_component_clause,[],[f319635])). 83.49/12.25 tff(f323219,plain,( 83.49/12.25 ~spl19_1117 | spl19_1113), 83.49/12.25 inference(avatar_split_clause,[],[f323067,f322783,f323217])). 83.49/12.25 tff(f323217,plain,( 83.49/12.25 spl19_1117 <=> $less(2,$uminus(cardinality(sF12)))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1117])])). 83.49/12.25 tff(f322783,plain,( 83.49/12.25 spl19_1113 <=> $less($sum(2,cardinality(sF12)),0)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1113])])). 83.49/12.25 tff(f323067,plain,( 83.49/12.25 ~$less(2,$uminus(cardinality(sF12))) | spl19_1113), 83.49/12.25 inference(resolution,[],[f322784,f312])). 83.49/12.25 tff(f312,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($less($sum(X1,X0),0) | ~$less(X1,$uminus(X0))) )), 83.49/12.25 inference(superposition,[],[f23,f161])). 83.49/12.25 tff(f322784,plain,( 83.49/12.25 ~$less($sum(2,cardinality(sF12)),0) | spl19_1113), 83.49/12.25 inference(avatar_component_clause,[],[f322783])). 83.49/12.25 tff(f323080,plain,( 83.49/12.25 ~spl19_1116 | spl19_1113), 83.49/12.25 inference(avatar_split_clause,[],[f323074,f322783,f323078])). 83.49/12.25 tff(f323078,plain,( 83.49/12.25 spl19_1116 <=> $less(cardinality(sF12),-2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1116])])). 83.49/12.25 tff(f323074,plain,( 83.49/12.25 ~$less(cardinality(sF12),-2) | spl19_1113), 83.49/12.25 inference(evaluation,[],[f323066])). 83.49/12.25 tff(f323066,plain,( 83.49/12.25 ~$less(cardinality(sF12),$uminus(2)) | spl19_1113), 83.49/12.25 inference(resolution,[],[f322784,f4333])). 83.49/12.25 tff(f4333,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($less($sum(X0,X1),0) | ~$less(X1,$uminus(X0))) )), 83.49/12.25 inference(superposition,[],[f301,f161])). 83.49/12.25 tff(f301,plain,( 83.49/12.25 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X1,X0),$sum(X2,X1)) | ~$less(X0,X2)) )), 83.49/12.25 inference(superposition,[],[f23,f15])). 83.49/12.25 tff(f322794,plain,( 83.49/12.25 spl19_1115 | spl19_55 | ~spl19_8 | ~spl19_13 | ~spl19_92), 83.49/12.25 inference(avatar_split_clause,[],[f272200,f5066,f138,f118,f607,f322792])). 83.49/12.25 tff(f322792,plain,( 83.49/12.25 spl19_1115 <=> ! [X0 : set] : cardinality(difference(X0,sK2)) != $sum(1,cardinality(difference(X0,sK2)))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1115])])). 83.49/12.25 tff(f272200,plain,( 83.49/12.25 ( ! [X0 : set] : (cardinality(difference(X0,sK2)) != $sum(1,cardinality(difference(X0,sK2))) | empty_set = sF8) ) | (~spl19_8 | ~spl19_13 | ~spl19_92)), 83.49/12.25 inference(forward_demodulation,[],[f272171,f165069])). 83.49/12.25 tff(f165069,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = intersection(sF8,difference(X0,sK2))) ) | (~spl19_13 | ~spl19_92)), 83.49/12.25 inference(duplicate_literal_removal,[],[f164930])). 83.49/12.25 tff(f164930,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = intersection(sF8,difference(X0,sK2)) | empty_set = intersection(sF8,difference(X0,sK2))) ) | (~spl19_13 | ~spl19_92)), 83.49/12.25 inference(resolution,[],[f4902,f47225])). 83.49/12.25 tff(f47225,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF8,X0)),sK2) | empty_set = intersection(sF8,X0)) ) | (~spl19_13 | ~spl19_92)), 83.49/12.25 inference(resolution,[],[f4850,f5553])). 83.49/12.25 tff(f4850,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF8,X0)),sF9) | empty_set = intersection(sF8,X0)) ) | ~spl19_13), 83.49/12.25 inference(resolution,[],[f233,f235])). 83.49/12.25 tff(f4902,plain,( 83.49/12.25 ( ! [X2 : set,X0 : set,X1 : set] : (~member(sK0(intersection(X0,difference(X1,X2))),X2) | empty_set = intersection(X0,difference(X1,X2))) )), 83.49/12.25 inference(resolution,[],[f234,f63])). 83.49/12.25 tff(f272171,plain,( 83.49/12.25 ( ! [X0 : set] : (cardinality(difference(X0,sK2)) != $sum(1,cardinality(difference(X0,sK2))) | sF8 = intersection(sF8,difference(X0,sK2))) ) | (~spl19_8 | ~spl19_13 | ~spl19_92)), 83.49/12.25 inference(superposition,[],[f365,f165691])). 83.49/12.25 tff(f165691,plain,( 83.49/12.25 ( ! [X0 : set] : ($sum(1,cardinality(difference(X0,sK2))) = cardinality(union(sF8,difference(X0,sK2)))) ) | (~spl19_8 | ~spl19_13 | ~spl19_92)), 83.49/12.25 inference(trivial_inequality_removal,[],[f165614])). 83.49/12.25 tff(f165614,plain,( 83.49/12.25 ( ! [X0 : set] : ($sum(1,cardinality(difference(X0,sK2))) = cardinality(union(sF8,difference(X0,sK2))) | empty_set != empty_set) ) | (~spl19_8 | ~spl19_13 | ~spl19_92)), 83.49/12.25 inference(superposition,[],[f437,f165069])). 83.49/12.25 tff(f322790,plain,( 83.49/12.25 spl19_55 | spl19_1114 | ~spl19_8 | ~spl19_13 | ~spl19_95), 83.49/12.25 inference(avatar_split_clause,[],[f271650,f5373,f138,f118,f322788,f607])). 83.49/12.25 tff(f322788,plain,( 83.49/12.25 spl19_1114 <=> ! [X0 : set] : cardinality(difference(X0,sF18)) != $sum(1,cardinality(difference(X0,sF18)))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1114])])). 83.49/12.25 tff(f271650,plain,( 83.49/12.25 ( ! [X0 : set] : (cardinality(difference(X0,sF18)) != $sum(1,cardinality(difference(X0,sF18))) | empty_set = sF8) ) | (~spl19_8 | ~spl19_13 | ~spl19_95)), 83.49/12.25 inference(forward_demodulation,[],[f271629,f165064])). 83.49/12.25 tff(f165064,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = intersection(sF8,difference(X0,sF18))) ) | (~spl19_13 | ~spl19_95)), 83.49/12.25 inference(duplicate_literal_removal,[],[f164940])). 83.49/12.25 tff(f164940,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = intersection(sF8,difference(X0,sF18)) | empty_set = intersection(sF8,difference(X0,sF18))) ) | (~spl19_13 | ~spl19_95)), 83.49/12.25 inference(resolution,[],[f4902,f47226])). 83.49/12.25 tff(f47226,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF8,X0)),sF18) | empty_set = intersection(sF8,X0)) ) | (~spl19_13 | ~spl19_95)), 83.49/12.25 inference(resolution,[],[f4850,f5437])). 83.49/12.25 tff(f271629,plain,( 83.49/12.25 ( ! [X0 : set] : (cardinality(difference(X0,sF18)) != $sum(1,cardinality(difference(X0,sF18))) | sF8 = intersection(sF8,difference(X0,sF18))) ) | (~spl19_8 | ~spl19_13 | ~spl19_95)), 83.49/12.25 inference(superposition,[],[f365,f165180])). 83.49/12.25 tff(f165180,plain,( 83.49/12.25 ( ! [X0 : set] : ($sum(1,cardinality(difference(X0,sF18))) = cardinality(union(sF8,difference(X0,sF18)))) ) | (~spl19_8 | ~spl19_13 | ~spl19_95)), 83.49/12.25 inference(trivial_inequality_removal,[],[f165103])). 83.49/12.25 tff(f165103,plain,( 83.49/12.25 ( ! [X0 : set] : ($sum(1,cardinality(difference(X0,sF18))) = cardinality(union(sF8,difference(X0,sF18))) | empty_set != empty_set) ) | (~spl19_8 | ~spl19_13 | ~spl19_95)), 83.49/12.25 inference(superposition,[],[f437,f165064])). 83.49/12.25 tff(f322786,plain,( 83.49/12.25 ~spl19_59 | spl19_227 | spl19_1 | ~spl19_10 | ~spl19_13 | ~spl19_92 | ~spl19_98), 83.49/12.25 inference(avatar_split_clause,[],[f322781,f6758,f5066,f138,f126,f90,f54544,f1016])). 83.49/12.25 tff(f54544,plain,( 83.49/12.25 spl19_227 <=> 1 = cardinality(union(sF13,sF8))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_227])])). 83.49/12.25 tff(f322781,plain,( 83.49/12.25 1 = cardinality(union(sF13,sF8)) | empty_set != sF13 | (spl19_1 | ~spl19_10 | ~spl19_13 | ~spl19_92 | ~spl19_98)), 83.49/12.25 inference(subsumption_resolution,[],[f322779,f91])). 83.49/12.25 tff(f322779,plain,( 83.49/12.25 empty_set != sF13 | 1 = cardinality(union(sF13,sF8)) | member(sK7,sK2) | (~spl19_10 | ~spl19_13 | ~spl19_92 | ~spl19_98)), 83.49/12.25 inference(superposition,[],[f268904,f127])). 83.49/12.25 tff(f268904,plain,( 83.49/12.25 ( ! [X0 : element] : (singleton(X0) != empty_set | member(X0,sK2) | 1 = cardinality(union(singleton(X0),sF8))) ) | (~spl19_13 | ~spl19_92 | ~spl19_98)), 83.49/12.25 inference(forward_demodulation,[],[f93662,f6759])). 83.49/12.25 tff(f93662,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK2) | cardinality(sF8) = cardinality(union(singleton(X0),sF8)) | singleton(X0) != empty_set) ) | (~spl19_13 | ~spl19_92)), 83.49/12.25 inference(superposition,[],[f42,f92314])). 83.49/12.25 tff(f92314,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF8) | member(X0,sK2)) ) | (~spl19_13 | ~spl19_92)), 83.49/12.25 inference(duplicate_literal_removal,[],[f92285])). 83.49/12.25 tff(f92285,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF8) | empty_set = intersection(singleton(X0),sF8) | member(X0,sK2)) ) | (~spl19_13 | ~spl19_92)), 83.49/12.25 inference(superposition,[],[f52441,f4842])). 83.49/12.25 tff(f52441,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF8)),sK2) | empty_set = intersection(X0,sF8)) ) | (~spl19_13 | ~spl19_92)), 83.49/12.25 inference(resolution,[],[f4906,f5553])). 83.49/12.25 tff(f322785,plain,( 83.49/12.25 ~spl19_1113 | ~spl19_1108), 83.49/12.25 inference(avatar_split_clause,[],[f322655,f322298,f322783])). 83.49/12.25 tff(f322298,plain,( 83.49/12.25 spl19_1108 <=> $less(-1,$sum(2,cardinality(sF12)))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1108])])). 83.49/12.25 tff(f322655,plain,( 83.49/12.25 ~$less($sum(2,cardinality(sF12)),0) | ~spl19_1108), 83.49/12.25 inference(resolution,[],[f322299,f232])). 83.49/12.25 tff(f232,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less(-1,X0) | ~$less(X0,0)) )), 83.49/12.25 inference(evaluation,[],[f231])). 83.49/12.25 tff(f231,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less($uminus(1),X0) | ~$less(X0,0)) )), 83.49/12.25 inference(superposition,[],[f26,f161])). 83.49/12.25 tff(f322299,plain,( 83.49/12.25 $less(-1,$sum(2,cardinality(sF12))) | ~spl19_1108), 83.49/12.25 inference(avatar_component_clause,[],[f322298])). 83.49/12.25 tff(f322775,plain,( 83.49/12.25 spl19_1112 | ~spl19_1108), 83.49/12.25 inference(avatar_split_clause,[],[f322653,f322298,f322773])). 83.49/12.25 tff(f322773,plain,( 83.49/12.25 spl19_1112 <=> $less(-2,$sum(2,cardinality(sF12)))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1112])])). 83.49/12.25 tff(f322653,plain,( 83.49/12.25 $less(-2,$sum(2,cardinality(sF12))) | ~spl19_1108), 83.49/12.25 inference(resolution,[],[f322299,f48034])). 83.49/12.25 tff(f48034,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less(-1,X0) | $less(-2,X0)) )), 83.49/12.25 inference(evaluation,[],[f48019])). 83.49/12.25 tff(f48019,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less(-1,X0) | $less($uminus(2),X0)) )), 83.49/12.25 inference(resolution,[],[f46103,f29921])). 83.49/12.25 tff(f29921,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : (~$less($uminus(X0),X1) | $less($uminus(X1),X0)) )), 83.49/12.25 inference(superposition,[],[f720,f5835])). 83.49/12.25 tff(f5835,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($sum($uminus(X0),$sum(X1,X0)) = X1) )), 83.49/12.25 inference(evaluation,[],[f5564])). 83.49/12.25 tff(f5564,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($sum(X1,0) = $sum($uminus(X0),$sum(X1,X0))) )), 83.49/12.25 inference(superposition,[],[f328,f19])). 83.49/12.25 tff(f328,plain,( 83.49/12.25 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1))) )), 83.49/12.25 inference(superposition,[],[f16,f15])). 83.49/12.25 tff(f720,plain,( 83.49/12.25 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X2,$sum($uminus(X0),X1)),X1) | ~$less(X2,X0)) )), 83.49/12.25 inference(superposition,[],[f23,f340])). 83.49/12.25 tff(f46103,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less($uminus(X0),2) | ~$less(-1,X0)) )), 83.49/12.25 inference(resolution,[],[f45819,f3835])). 83.49/12.25 tff(f3835,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less($uminus(X0),1) | ~$less(-1,X0)) )), 83.49/12.25 inference(resolution,[],[f3782,f552])). 83.49/12.25 tff(f552,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less(0,X0) | $less(X0,1)) )), 83.49/12.25 inference(superposition,[],[f224,f17])). 83.49/12.25 tff(f17,plain,( 83.49/12.25 ( ! [X0 : $int] : ($sum(X0,0) = X0) )), 83.49/12.25 introduced(theory_axiom_145,[])). 83.49/12.25 tff(f3782,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less(0,$uminus(X0)) | ~$less(-1,X0)) )), 83.49/12.25 inference(resolution,[],[f727,f308])). 83.49/12.25 tff(f308,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($less($sum(X1,$uminus(X0)),0) | ~$less(X1,X0)) )), 83.49/12.25 inference(superposition,[],[f23,f19])). 83.49/12.25 tff(f45819,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less(X0,1) | $less(X0,2)) )), 83.49/12.25 inference(resolution,[],[f12885,f229])). 83.49/12.25 tff(f12885,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less(1,$sum(1,X0)) | $less(X0,2)) )), 83.49/12.25 inference(resolution,[],[f12813,f224])). 83.49/12.25 tff(f12813,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less(2,X0) | $less(1,X0)) )), 83.49/12.25 inference(evaluation,[],[f12794])). 83.49/12.25 tff(f12794,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less($sum(1,1),X0) | $less(1,X0)) )), 83.49/12.25 inference(resolution,[],[f11941,f256])). 83.49/12.25 tff(f256,plain,( 83.49/12.25 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(X0,$sum(X1,1)) | $less(X1,X2) | ~$less(X0,X2)) )), 83.49/12.25 inference(resolution,[],[f21,f24])). 83.49/12.25 tff(f322771,plain,( 83.49/12.25 ~spl19_55 | spl19_1111 | ~spl19_8 | ~spl19_13 | ~spl19_92), 83.49/12.25 inference(avatar_split_clause,[],[f165613,f5066,f138,f118,f322769,f607])). 83.49/12.25 tff(f322769,plain,( 83.49/12.25 spl19_1111 <=> ! [X0 : set] : cardinality(difference(X0,sK2)) = cardinality(union(sF8,difference(X0,sK2)))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1111])])). 83.49/12.25 tff(f165613,plain,( 83.49/12.25 ( ! [X0 : set] : (cardinality(difference(X0,sK2)) = cardinality(union(sF8,difference(X0,sK2))) | empty_set != sF8) ) | (~spl19_8 | ~spl19_13 | ~spl19_92)), 83.49/12.25 inference(superposition,[],[f362,f165069])). 83.49/12.25 tff(f322762,plain,( 83.49/12.25 spl19_950 | ~spl19_355 | ~spl19_1045), 83.49/12.25 inference(avatar_split_clause,[],[f322165,f311580,f66825,f273839])). 83.49/12.25 tff(f273839,plain,( 83.49/12.25 spl19_950 <=> member(sK0(intersection(sF14,sF9)),sK2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_950])])). 83.49/12.25 tff(f311580,plain,( 83.49/12.25 spl19_1045 <=> member(sK0(intersection(sF14,sF9)),sF11)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1045])])). 83.49/12.25 tff(f322165,plain,( 83.49/12.25 member(sK0(intersection(sF14,sF9)),sK2) | (~spl19_355 | ~spl19_1045)), 83.49/12.25 inference(resolution,[],[f311581,f67071])). 83.49/12.25 tff(f311581,plain,( 83.49/12.25 member(sK0(intersection(sF14,sF9)),sF11) | ~spl19_1045), 83.49/12.25 inference(avatar_component_clause,[],[f311580])). 83.49/12.25 tff(f322726,plain,( 83.49/12.25 ~spl19_1110 | ~spl19_958 | ~spl19_1045), 83.49/12.25 inference(avatar_split_clause,[],[f322164,f311580,f275360,f322724])). 83.49/12.25 tff(f322724,plain,( 83.49/12.25 spl19_1110 <=> member(sK0(intersection(sF14,sF9)),sK4)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1110])])). 83.49/12.25 tff(f275360,plain,( 83.49/12.25 spl19_958 <=> empty_set = intersection(sK4,sF11)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_958])])). 83.49/12.25 tff(f322164,plain,( 83.49/12.25 ~member(sK0(intersection(sF14,sF9)),sK4) | (~spl19_958 | ~spl19_1045)), 83.49/12.25 inference(resolution,[],[f311581,f275404])). 83.49/12.25 tff(f275404,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF11) | ~member(X0,sK4)) ) | ~spl19_958), 83.49/12.25 inference(subsumption_resolution,[],[f275391,f162])). 83.49/12.25 tff(f275391,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sK4) | ~member(X0,sF11)) ) | ~spl19_958), 83.49/12.25 inference(superposition,[],[f46,f275361])). 83.49/12.25 tff(f275361,plain,( 83.49/12.25 empty_set = intersection(sK4,sF11) | ~spl19_958), 83.49/12.25 inference(avatar_component_clause,[],[f275360])). 83.49/12.25 tff(f322722,plain,( 83.49/12.25 spl19_947 | ~spl19_351 | ~spl19_1043), 83.49/12.25 inference(avatar_split_clause,[],[f322162,f311573,f66621,f273545])). 83.49/12.25 tff(f273545,plain,( 83.49/12.25 spl19_947 <=> member(sK0(intersection(sF14,sK5)),sK2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_947])])). 83.49/12.25 tff(f311573,plain,( 83.49/12.25 spl19_1043 <=> member(sK0(intersection(sF14,sK5)),sK5)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1043])])). 83.49/12.25 tff(f322162,plain,( 83.49/12.25 member(sK0(intersection(sF14,sK5)),sK2) | (~spl19_351 | ~spl19_1043)), 83.49/12.25 inference(resolution,[],[f311574,f66648])). 83.49/12.25 tff(f311574,plain,( 83.49/12.25 member(sK0(intersection(sF14,sK5)),sK5) | ~spl19_1043), 83.49/12.25 inference(avatar_component_clause,[],[f311573])). 83.49/12.25 tff(f322721,plain,( 83.49/12.25 spl19_953 | ~spl19_355 | ~spl19_1041), 83.49/12.25 inference(avatar_split_clause,[],[f322156,f311414,f66825,f274280])). 83.49/12.25 tff(f274280,plain,( 83.49/12.25 spl19_953 <=> member(sK0(intersection(sF9,sF14)),sK2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_953])])). 83.49/12.25 tff(f311414,plain,( 83.49/12.25 spl19_1041 <=> member(sK0(intersection(sF9,sF14)),sF11)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1041])])). 83.49/12.25 tff(f322156,plain,( 83.49/12.25 member(sK0(intersection(sF9,sF14)),sK2) | (~spl19_355 | ~spl19_1041)), 83.49/12.25 inference(resolution,[],[f311415,f67071])). 83.49/12.25 tff(f311415,plain,( 83.49/12.25 member(sK0(intersection(sF9,sF14)),sF11) | ~spl19_1041), 83.49/12.25 inference(avatar_component_clause,[],[f311414])). 83.49/12.25 tff(f322719,plain,( 83.49/12.25 ~spl19_1109 | ~spl19_958 | ~spl19_1041), 83.49/12.25 inference(avatar_split_clause,[],[f322155,f311414,f275360,f322717])). 83.49/12.25 tff(f322717,plain,( 83.49/12.25 spl19_1109 <=> member(sK0(intersection(sF9,sF14)),sK4)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1109])])). 83.49/12.25 tff(f322155,plain,( 83.49/12.25 ~member(sK0(intersection(sF9,sF14)),sK4) | (~spl19_958 | ~spl19_1041)), 83.49/12.25 inference(resolution,[],[f311415,f275404])). 83.49/12.25 tff(f322715,plain,( 83.49/12.25 spl19_932 | ~spl19_18 | ~spl19_1039), 83.49/12.25 inference(avatar_split_clause,[],[f322106,f311407,f158,f272221])). 83.49/12.25 tff(f272221,plain,( 83.49/12.25 spl19_932 <=> member(sK0(intersection(sK5,sF14)),sF18)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_932])])). 83.49/12.25 tff(f311407,plain,( 83.49/12.25 spl19_1039 <=> member(sK0(intersection(sK5,sF14)),sK5)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1039])])). 83.49/12.25 tff(f322106,plain,( 83.49/12.25 member(sK0(intersection(sK5,sF14)),sF18) | (~spl19_18 | ~spl19_1039)), 83.49/12.25 inference(resolution,[],[f311408,f243])). 83.49/12.25 tff(f311408,plain,( 83.49/12.25 member(sK0(intersection(sK5,sF14)),sK5) | ~spl19_1039), 83.49/12.25 inference(avatar_component_clause,[],[f311407])). 83.49/12.25 tff(f322705,plain,( 83.49/12.25 spl19_944 | ~spl19_351 | ~spl19_1039), 83.49/12.25 inference(avatar_split_clause,[],[f322105,f311407,f66621,f273223])). 83.49/12.25 tff(f273223,plain,( 83.49/12.25 spl19_944 <=> member(sK0(intersection(sK5,sF14)),sK2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_944])])). 83.49/12.25 tff(f322105,plain,( 83.49/12.25 member(sK0(intersection(sK5,sF14)),sK2) | (~spl19_351 | ~spl19_1039)), 83.49/12.25 inference(resolution,[],[f311408,f66648])). 83.49/12.25 tff(f322300,plain,( 83.49/12.25 spl19_1108 | ~spl19_1034 | spl19_1072), 83.49/12.25 inference(avatar_split_clause,[],[f321183,f319565,f310230,f322298])). 83.49/12.25 tff(f310230,plain,( 83.49/12.25 spl19_1034 <=> $less(sF15,$sum(2,cardinality(sF12)))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1034])])). 83.49/12.25 tff(f319565,plain,( 83.49/12.25 spl19_1072 <=> $less(sF15,0)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1072])])). 83.49/12.25 tff(f321183,plain,( 83.49/12.25 $less(-1,$sum(2,cardinality(sF12))) | (~spl19_1034 | spl19_1072)), 83.49/12.25 inference(subsumption_resolution,[],[f321180,f319566])). 83.49/12.25 tff(f319566,plain,( 83.49/12.25 ~$less(sF15,0) | spl19_1072), 83.49/12.25 inference(avatar_component_clause,[],[f319565])). 83.49/12.25 tff(f321180,plain,( 83.49/12.25 $less(sF15,0) | $less(-1,$sum(2,cardinality(sF12))) | ~spl19_1034), 83.49/12.25 inference(resolution,[],[f310231,f5158])). 83.49/12.25 tff(f5158,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(X0,0) | $less(-1,X1)) )), 83.49/12.25 inference(evaluation,[],[f5152])). 83.49/12.25 tff(f5152,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less($uminus(1),X1) | $less(X0,0)) )), 83.49/12.25 inference(superposition,[],[f256,f161])). 83.49/12.25 tff(f310231,plain,( 83.49/12.25 $less(sF15,$sum(2,cardinality(sF12))) | ~spl19_1034), 83.49/12.25 inference(avatar_component_clause,[],[f310230])). 83.49/12.25 tff(f321689,plain,( 83.49/12.25 spl19_930 | ~spl19_962 | ~spl19_1101), 83.49/12.25 inference(avatar_split_clause,[],[f321204,f321021,f275813,f272156])). 83.49/12.25 tff(f272156,plain,( 83.49/12.25 spl19_930 <=> member(sK0(sF10),sK2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_930])])). 83.49/12.25 tff(f275813,plain,( 83.49/12.25 spl19_962 <=> empty_set = difference(sK4,sK2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_962])])). 83.49/12.25 tff(f321021,plain,( 83.49/12.25 spl19_1101 <=> member(sK0(sF10),sK4)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1101])])). 83.49/12.25 tff(f321204,plain,( 83.49/12.25 member(sK0(sF10),sK2) | (~spl19_962 | ~spl19_1101)), 83.49/12.25 inference(resolution,[],[f321022,f275846])). 83.49/12.25 tff(f275846,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sK4) | member(X0,sK2)) ) | ~spl19_962), 83.49/12.25 inference(subsumption_resolution,[],[f275836,f162])). 83.49/12.25 tff(f275836,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK2) | member(X0,empty_set) | ~member(X0,sK4)) ) | ~spl19_962), 83.49/12.25 inference(superposition,[],[f61,f275814])). 83.49/12.25 tff(f275814,plain,( 83.49/12.25 empty_set = difference(sK4,sK2) | ~spl19_962), 83.49/12.25 inference(avatar_component_clause,[],[f275813])). 83.49/12.25 tff(f321022,plain,( 83.49/12.25 member(sK0(sF10),sK4) | ~spl19_1101), 83.49/12.25 inference(avatar_component_clause,[],[f321021])). 83.49/12.25 tff(f321685,plain,( 83.49/12.25 spl19_1107 | ~spl19_59 | spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18), 83.49/12.25 inference(avatar_split_clause,[],[f321681,f158,f126,f114,f106,f90,f1016,f321683])). 83.49/12.25 tff(f321683,plain,( 83.49/12.25 spl19_1107 <=> cardinality(sF9) = cardinality(union(sF13,sF9))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1107])])). 83.49/12.25 tff(f321681,plain,( 83.49/12.25 empty_set != sF13 | cardinality(sF9) = cardinality(union(sF13,sF9)) | (spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.25 inference(subsumption_resolution,[],[f321679,f91])). 83.49/12.25 tff(f321679,plain,( 83.49/12.25 cardinality(sF9) = cardinality(union(sF13,sF9)) | empty_set != sF13 | member(sK7,sK2) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f93228,f127])). 83.49/12.25 tff(f93228,plain,( 83.49/12.25 ( ! [X0 : element] : (singleton(X0) != empty_set | member(X0,sK2) | cardinality(sF9) = cardinality(union(singleton(X0),sF9))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f42,f92318])). 83.49/12.25 tff(f92318,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF9) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.25 inference(duplicate_literal_removal,[],[f92293])). 83.49/12.25 tff(f92293,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF9) | empty_set = intersection(singleton(X0),sF9) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f4955,f4842])). 83.49/12.25 tff(f321659,plain,( 83.49/12.25 spl19_919 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_25 | ~spl19_60 | ~spl19_145), 83.49/12.25 inference(avatar_split_clause,[],[f321656,f52201,f1019,f216,f158,f138,f126,f106,f271845])). 83.49/12.25 tff(f271845,plain,( 83.49/12.25 spl19_919 <=> member(sK7,complement(sF8))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_919])])). 83.49/12.25 tff(f321656,plain,( 83.49/12.25 member(sK7,complement(sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_25 | ~spl19_60 | ~spl19_145)), 83.49/12.25 inference(subsumption_resolution,[],[f321655,f217])). 83.49/12.25 tff(f321655,plain,( 83.49/12.25 member(sK7,complement(sF8)) | ~member(sK7,sF13) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_60 | ~spl19_145)), 83.49/12.25 inference(forward_demodulation,[],[f321654,f1020])). 83.49/12.25 tff(f321654,plain,( 83.49/12.25 ~member(sK0(sF13),sF13) | member(sK7,complement(sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_145)), 83.49/12.25 inference(subsumption_resolution,[],[f321651,f60])). 83.49/12.25 tff(f321651,plain,( 83.49/12.25 empty_set = sF13 | ~member(sK0(sF13),sF13) | member(sK7,complement(sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_145)), 83.49/12.25 inference(superposition,[],[f321629,f127])). 83.49/12.25 tff(f321629,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(sK0(singleton(X0)),sF13) | singleton(X0) = empty_set | member(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_145)), 83.49/12.25 inference(resolution,[],[f271979,f52220])). 83.49/12.25 tff(f271979,plain,( 83.49/12.25 ( ! [X0 : element] : (member(sK0(singleton(X0)),sF18) | singleton(X0) = empty_set | member(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f271970,f59])). 83.49/12.25 tff(f271970,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X1,sF18) | member(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(subsumption_resolution,[],[f271961,f162])). 83.49/12.25 tff(f271961,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (member(X1,empty_set) | member(X1,sF18) | member(X0,complement(sF8)) | ~member(X1,singleton(X0))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f61,f271874])). 83.49/12.25 tff(f271874,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = difference(singleton(X0),sF18) | member(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(duplicate_literal_removal,[],[f271869])). 83.49/12.25 tff(f271869,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = difference(singleton(X0),sF18) | empty_set = difference(singleton(X0),sF18) | member(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f271721,f4987])). 83.49/12.25 tff(f271721,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(difference(X0,sF18)),complement(sF8)) | empty_set = difference(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f271706,f59])). 83.49/12.25 tff(f271706,plain,( 83.49/12.25 ( ! [X0 : set,X1 : element] : (~member(X1,difference(X0,sF18)) | member(X1,complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(subsumption_resolution,[],[f271697,f162])). 83.49/12.25 tff(f271697,plain,( 83.49/12.25 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,difference(X0,sF18)) | member(X1,complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f61,f271669])). 83.49/12.25 tff(f271669,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = difference(difference(X0,sF18),complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(duplicate_literal_removal,[],[f271656])). 83.49/12.25 tff(f271656,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = difference(difference(X0,sF18),complement(sF8)) | empty_set = difference(difference(X0,sF18),complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f269392,f4991])). 83.49/12.25 tff(f269392,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(difference(X0,complement(sF8))),sF18) | empty_set = difference(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f269374,f5059])). 83.49/12.25 tff(f269374,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF8) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(subsumption_resolution,[],[f269172,f161776])). 83.49/12.25 tff(f161776,plain,( 83.49/12.25 ( ! [X0 : element,X1 : set] : (~member(X0,sF8) | ~member(X0,X1) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f161384,f61])). 83.49/12.25 tff(f269172,plain,( 83.49/12.25 ( ! [X0 : element,X1 : set] : (~member(X0,sF8) | member(X0,X1) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f268896,f55])). 83.49/12.25 tff(f268896,plain,( 83.49/12.25 ( ! [X0 : set,X1 : element] : (member(X1,union(sF18,X0)) | ~member(X1,sF8)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(subsumption_resolution,[],[f168910,f162])). 83.49/12.25 tff(f168910,plain,( 83.49/12.25 ( ! [X0 : set,X1 : element] : (~member(X1,sF8) | member(X1,empty_set) | member(X1,union(sF18,X0))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f61,f168354])). 83.49/12.25 tff(f168354,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = difference(sF8,union(sF18,X0))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(duplicate_literal_removal,[],[f168145])). 83.49/12.25 tff(f168145,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = difference(sF8,union(sF18,X0)) | empty_set = difference(sF8,union(sF18,X0))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f5056,f66714])). 83.49/12.25 tff(f66714,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(difference(sF8,X0)),sF18) | empty_set = difference(sF8,X0)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f56001,f243])). 83.49/12.25 tff(f56001,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(difference(sF8,X0)),sK5) | empty_set = difference(sF8,X0)) ) | (~spl19_5 | ~spl19_13)), 83.49/12.25 inference(resolution,[],[f4995,f271])). 83.49/12.25 tff(f4995,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(difference(sF8,X0)),sF9) | empty_set = difference(sF8,X0)) ) | ~spl19_13), 83.49/12.25 inference(resolution,[],[f245,f235])). 83.49/12.25 tff(f321648,plain,( 83.49/12.25 spl19_930 | ~spl19_92 | ~spl19_1103), 83.49/12.25 inference(avatar_split_clause,[],[f321220,f321207,f5066,f272156])). 83.49/12.25 tff(f321207,plain,( 83.49/12.25 spl19_1103 <=> member(sK0(sF10),sF9)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1103])])). 83.49/12.25 tff(f321220,plain,( 83.49/12.25 member(sK0(sF10),sK2) | (~spl19_92 | ~spl19_1103)), 83.49/12.25 inference(resolution,[],[f321208,f5553])). 83.49/12.25 tff(f321208,plain,( 83.49/12.25 member(sK0(sF10),sF9) | ~spl19_1103), 83.49/12.25 inference(avatar_component_clause,[],[f321207])). 83.49/12.25 tff(f321628,plain,( 83.49/12.25 spl19_916 | ~spl19_95 | ~spl19_1103), 83.49/12.25 inference(avatar_split_clause,[],[f321219,f321207,f5373,f271765])). 83.49/12.25 tff(f271765,plain,( 83.49/12.25 spl19_916 <=> member(sK0(sF10),sF18)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_916])])). 83.49/12.25 tff(f321219,plain,( 83.49/12.25 member(sK0(sF10),sF18) | (~spl19_95 | ~spl19_1103)), 83.49/12.25 inference(resolution,[],[f321208,f5437])). 83.49/12.25 tff(f321625,plain,( 83.49/12.25 spl19_1105 | spl19_1106 | ~spl19_13 | ~spl19_20 | ~spl19_95 | ~spl19_145), 83.49/12.25 inference(avatar_split_clause,[],[f320578,f52201,f5373,f181,f138,f321623,f321620])). 83.49/12.25 tff(f321620,plain,( 83.49/12.25 spl19_1105 <=> ! [X0 : element] : (~member(X0,sF8) | ~member(X0,sF13))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1105])])). 83.49/12.25 tff(f321623,plain,( 83.49/12.25 spl19_1106 <=> ! [X1 : set] : cardinality(X1) = $sum(1,cardinality(X1))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1106])])). 83.49/12.25 tff(f320578,plain,( 83.49/12.25 ( ! [X0 : element,X1 : set] : (cardinality(X1) = $sum(1,cardinality(X1)) | ~member(X0,sF8) | ~member(X0,sF13)) ) | (~spl19_13 | ~spl19_20 | ~spl19_95 | ~spl19_145)), 83.49/12.25 inference(forward_demodulation,[],[f320577,f6042])). 83.49/12.25 tff(f6042,plain,( 83.49/12.25 ( ! [X0 : set] : (cardinality(X0) = cardinality(union(empty_set,X0))) ) | ~spl19_20), 83.49/12.25 inference(evaluation,[],[f6041])). 83.49/12.25 tff(f6041,plain,( 83.49/12.25 ( ! [X0 : set] : (cardinality(union(empty_set,X0)) = $sum(0,cardinality(X0))) ) | ~spl19_20), 83.49/12.25 inference(forward_demodulation,[],[f6040,f182])). 83.49/12.25 tff(f6040,plain,( 83.49/12.25 ( ! [X0 : set] : (cardinality(union(empty_set,X0)) = $sum(cardinality(empty_set),cardinality(X0))) )), 83.49/12.25 inference(trivial_inequality_removal,[],[f6036])). 83.49/12.25 tff(f6036,plain,( 83.49/12.25 ( ! [X0 : set] : (cardinality(union(empty_set,X0)) = $sum(cardinality(empty_set),cardinality(X0)) | empty_set != empty_set) )), 83.49/12.25 inference(superposition,[],[f73,f4841])). 83.49/12.25 tff(f4841,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = intersection(empty_set,X0)) )), 83.49/12.25 inference(resolution,[],[f233,f162])). 83.49/12.25 tff(f320577,plain,( 83.49/12.25 ( ! [X0 : element,X1 : set] : ($sum(1,cardinality(X1)) = cardinality(union(empty_set,X1)) | ~member(X0,sF13) | ~member(X0,sF8)) ) | (~spl19_13 | ~spl19_95 | ~spl19_145)), 83.49/12.25 inference(subsumption_resolution,[],[f320456,f4841])). 83.49/12.25 tff(f320456,plain,( 83.49/12.25 ( ! [X0 : element,X1 : set] : (empty_set != intersection(empty_set,X1) | ~member(X0,sF8) | $sum(1,cardinality(X1)) = cardinality(union(empty_set,X1)) | ~member(X0,sF13)) ) | (~spl19_13 | ~spl19_95 | ~spl19_145)), 83.49/12.25 inference(superposition,[],[f404,f320446])). 83.49/12.25 tff(f320446,plain,( 83.49/12.25 ( ! [X0 : element] : (singleton(X0) = empty_set | ~member(X0,sF8) | ~member(X0,sF13)) ) | (~spl19_13 | ~spl19_95 | ~spl19_145)), 83.49/12.25 inference(duplicate_literal_removal,[],[f320445])). 83.49/12.25 tff(f320445,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF13) | singleton(X0) = empty_set | singleton(X0) = empty_set | ~member(X0,sF8)) ) | (~spl19_13 | ~spl19_95 | ~spl19_145)), 83.49/12.25 inference(superposition,[],[f269726,f221])). 83.49/12.25 tff(f221,plain,( 83.49/12.25 ( ! [X0 : element] : (sK0(singleton(X0)) = X0 | singleton(X0) = empty_set) )), 83.49/12.25 inference(resolution,[],[f59,f52])). 83.49/12.25 tff(f269726,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(sK0(singleton(X0)),sF8) | singleton(X0) = empty_set | ~member(X0,sF13)) ) | (~spl19_13 | ~spl19_95 | ~spl19_145)), 83.49/12.25 inference(resolution,[],[f110051,f59])). 83.49/12.25 tff(f110051,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | ~member(X1,sF8) | ~member(X0,sF13)) ) | (~spl19_13 | ~spl19_95 | ~spl19_145)), 83.49/12.25 inference(subsumption_resolution,[],[f109995,f162])). 83.49/12.25 tff(f109995,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,sF8) | ~member(X0,sF13) | member(X1,empty_set) | ~member(X1,singleton(X0))) ) | (~spl19_13 | ~spl19_95 | ~spl19_145)), 83.49/12.25 inference(superposition,[],[f46,f94179])). 83.49/12.25 tff(f94179,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(sF8,singleton(X0)) | ~member(X0,sF13)) ) | (~spl19_13 | ~spl19_95 | ~spl19_145)), 83.49/12.25 inference(duplicate_literal_removal,[],[f94159])). 83.49/12.25 tff(f94159,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(sF8,singleton(X0)) | empty_set = intersection(sF8,singleton(X0)) | ~member(X0,sF13)) ) | (~spl19_13 | ~spl19_95 | ~spl19_145)), 83.49/12.25 inference(superposition,[],[f52334,f4898])). 83.49/12.25 tff(f52334,plain,( 83.49/12.25 ( ! [X0 : set] : (~member(sK0(intersection(sF8,X0)),sF13) | empty_set = intersection(sF8,X0)) ) | (~spl19_13 | ~spl19_95 | ~spl19_145)), 83.49/12.25 inference(resolution,[],[f52220,f47226])). 83.49/12.25 tff(f321234,plain,( 83.49/12.25 spl19_55 | spl19_1104 | ~spl19_5 | ~spl19_8 | ~spl19_13), 83.49/12.25 inference(avatar_split_clause,[],[f304320,f138,f118,f106,f321232,f607])). 83.49/12.25 tff(f321232,plain,( 83.49/12.25 spl19_1104 <=> ! [X0 : set] : cardinality(difference(X0,sK5)) != $sum(1,cardinality(difference(X0,sK5)))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1104])])). 83.49/12.25 tff(f304320,plain,( 83.49/12.25 ( ! [X0 : set] : (cardinality(difference(X0,sK5)) != $sum(1,cardinality(difference(X0,sK5))) | empty_set = sF8) ) | (~spl19_5 | ~spl19_8 | ~spl19_13)), 83.49/12.25 inference(forward_demodulation,[],[f304292,f165065])). 83.49/12.25 tff(f165065,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = intersection(sF8,difference(X0,sK5))) ) | (~spl19_5 | ~spl19_13)), 83.49/12.25 inference(duplicate_literal_removal,[],[f164935])). 83.49/12.25 tff(f164935,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = intersection(sF8,difference(X0,sK5)) | empty_set = intersection(sF8,difference(X0,sK5))) ) | (~spl19_5 | ~spl19_13)), 83.49/12.25 inference(resolution,[],[f4902,f47224])). 83.49/12.25 tff(f47224,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF8,X0)),sK5) | empty_set = intersection(sF8,X0)) ) | (~spl19_5 | ~spl19_13)), 83.49/12.25 inference(resolution,[],[f4850,f271])). 83.49/12.25 tff(f304292,plain,( 83.49/12.25 ( ! [X0 : set] : (cardinality(difference(X0,sK5)) != $sum(1,cardinality(difference(X0,sK5))) | sF8 = intersection(sF8,difference(X0,sK5))) ) | (~spl19_5 | ~spl19_8 | ~spl19_13)), 83.49/12.25 inference(superposition,[],[f365,f277046])). 83.49/12.25 tff(f277046,plain,( 83.49/12.25 ( ! [X0 : set] : ($sum(1,cardinality(difference(X0,sK5))) = cardinality(union(sF8,difference(X0,sK5)))) ) | (~spl19_5 | ~spl19_8 | ~spl19_13)), 83.49/12.25 inference(trivial_inequality_removal,[],[f277031])). 83.49/12.25 tff(f277031,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set != empty_set | $sum(1,cardinality(difference(X0,sK5))) = cardinality(union(sF8,difference(X0,sK5)))) ) | (~spl19_5 | ~spl19_8 | ~spl19_13)), 83.49/12.25 inference(superposition,[],[f437,f165065])). 83.49/12.25 tff(f321230,plain,( 83.49/12.25 spl19_59 | spl19_919 | spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_60), 83.49/12.25 inference(avatar_split_clause,[],[f321229,f1019,f158,f138,f126,f114,f106,f90,f271845,f1016])). 83.49/12.25 tff(f321229,plain,( 83.49/12.25 empty_set = sF13 | member(sK7,complement(sF8)) | (spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_60)), 83.49/12.25 inference(forward_demodulation,[],[f321228,f1020])). 83.49/12.25 tff(f321228,plain,( 83.49/12.25 member(sK0(sF13),complement(sF8)) | empty_set = sF13 | (spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(subsumption_resolution,[],[f321225,f91])). 83.49/12.25 tff(f321225,plain,( 83.49/12.25 empty_set = sF13 | member(sK7,sK2) | member(sK0(sF13),complement(sF8)) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f272330,f127])). 83.49/12.25 tff(f272330,plain,( 83.49/12.25 ( ! [X0 : element] : (member(sK0(singleton(X0)),complement(sF8)) | singleton(X0) = empty_set | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f272327,f59])). 83.49/12.25 tff(f272327,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X0,sK2) | member(X1,complement(sF8))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(subsumption_resolution,[],[f272318,f162])). 83.49/12.25 tff(f272318,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X1,empty_set) | member(X1,complement(sF8)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f61,f272211])). 83.49/12.25 tff(f272211,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = difference(singleton(X0),complement(sF8)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(duplicate_literal_removal,[],[f272207])). 83.49/12.25 tff(f272207,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = difference(singleton(X0),complement(sF8)) | member(X0,sK2) | empty_set = difference(singleton(X0),complement(sF8))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f271659,f4987])). 83.49/12.25 tff(f271659,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(difference(X0,complement(sF8))),sK2) | empty_set = difference(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f269392,f272])). 83.49/12.25 tff(f321221,plain,( 83.49/12.25 spl19_939 | ~spl19_5 | ~spl19_1103), 83.49/12.25 inference(avatar_split_clause,[],[f321217,f321207,f106,f272848])). 83.49/12.25 tff(f272848,plain,( 83.49/12.25 spl19_939 <=> member(sK0(sF10),sK5)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_939])])). 83.49/12.25 tff(f321217,plain,( 83.49/12.25 member(sK0(sF10),sK5) | (~spl19_5 | ~spl19_1103)), 83.49/12.25 inference(resolution,[],[f321208,f271])). 83.49/12.25 tff(f321209,plain,( 83.49/12.25 spl19_1103 | ~spl19_13 | ~spl19_1101), 83.49/12.25 inference(avatar_split_clause,[],[f321205,f321021,f138,f321207])). 83.49/12.25 tff(f321205,plain,( 83.49/12.25 member(sK0(sF10),sF9) | (~spl19_13 | ~spl19_1101)), 83.49/12.25 inference(resolution,[],[f321022,f240])). 83.49/12.25 tff(f321203,plain,( 83.49/12.25 spl19_59 | spl19_919 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_60 | spl19_147), 83.49/12.25 inference(avatar_split_clause,[],[f321202,f52209,f1019,f158,f138,f126,f106,f271845,f1016])). 83.49/12.25 tff(f321202,plain,( 83.49/12.25 member(sK7,complement(sF8)) | empty_set = sF13 | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_60 | spl19_147)), 83.49/12.25 inference(forward_demodulation,[],[f321201,f1020])). 83.49/12.25 tff(f321201,plain,( 83.49/12.25 member(sK0(sF13),complement(sF8)) | empty_set = sF13 | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | spl19_147)), 83.49/12.25 inference(subsumption_resolution,[],[f321198,f84082])). 83.49/12.25 tff(f321198,plain,( 83.49/12.25 member(sK7,sF18) | empty_set = sF13 | member(sK0(sF13),complement(sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f271793,f127])). 83.49/12.25 tff(f271793,plain,( 83.49/12.25 ( ! [X0 : element] : (member(sK0(singleton(X0)),complement(sF8)) | member(X0,sF18) | singleton(X0) = empty_set) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f271762,f59])). 83.49/12.25 tff(f271762,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X1,complement(sF8)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(subsumption_resolution,[],[f271753,f162])). 83.49/12.25 tff(f271753,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (member(X1,empty_set) | member(X1,complement(sF8)) | member(X0,sF18) | ~member(X1,singleton(X0))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f61,f271664])). 83.49/12.25 tff(f271664,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = difference(singleton(X0),complement(sF8)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(duplicate_literal_removal,[],[f271663])). 83.49/12.25 tff(f271663,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = difference(singleton(X0),complement(sF8)) | member(X0,sF18) | empty_set = difference(singleton(X0),complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f269392,f4987])). 83.49/12.25 tff(f321194,plain,( 83.49/12.25 spl19_227 | ~spl19_59 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_98 | spl19_147), 83.49/12.25 inference(avatar_split_clause,[],[f321193,f52209,f6758,f158,f138,f126,f106,f1016,f54544])). 83.49/12.25 tff(f321193,plain,( 83.49/12.25 empty_set != sF13 | 1 = cardinality(union(sF13,sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_98 | spl19_147)), 83.49/12.25 inference(subsumption_resolution,[],[f321191,f84082])). 83.49/12.25 tff(f321191,plain,( 83.49/12.25 empty_set != sF13 | 1 = cardinality(union(sF13,sF8)) | member(sK7,sF18) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_98)), 83.49/12.25 inference(superposition,[],[f268967,f127])). 83.49/12.25 tff(f268967,plain,( 83.49/12.25 ( ! [X0 : element] : (singleton(X0) != empty_set | member(X0,sF18) | 1 = cardinality(union(singleton(X0),sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_98)), 83.49/12.25 inference(forward_demodulation,[],[f92830,f6759])). 83.49/12.25 tff(f92830,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(sF8) = cardinality(union(singleton(X0),sF8)) | singleton(X0) != empty_set | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f42,f92313])). 83.49/12.25 tff(f321187,plain,( 83.49/12.25 ~spl19_55 | spl19_1102 | ~spl19_5 | ~spl19_8 | ~spl19_13), 83.49/12.25 inference(avatar_split_clause,[],[f277030,f138,f118,f106,f321185,f607])). 83.49/12.25 tff(f321185,plain,( 83.49/12.25 spl19_1102 <=> ! [X0 : set] : cardinality(difference(X0,sK5)) = cardinality(union(sF8,difference(X0,sK5)))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1102])])). 83.49/12.25 tff(f277030,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set != sF8 | cardinality(difference(X0,sK5)) = cardinality(union(sF8,difference(X0,sK5)))) ) | (~spl19_5 | ~spl19_8 | ~spl19_13)), 83.49/12.25 inference(superposition,[],[f362,f165065])). 83.49/12.25 tff(f321059,plain,( 83.49/12.25 ~spl19_59 | spl19_227 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_98 | spl19_166), 83.49/12.25 inference(avatar_split_clause,[],[f321056,f53008,f6758,f138,f126,f106,f54544,f1016])). 83.49/12.25 tff(f53008,plain,( 83.49/12.25 spl19_166 <=> member(sK7,sK5)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_166])])). 83.49/12.25 tff(f321056,plain,( 83.49/12.25 1 = cardinality(union(sF13,sF8)) | empty_set != sF13 | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_98 | spl19_166)), 83.49/12.25 inference(subsumption_resolution,[],[f321053,f53009])). 83.49/12.25 tff(f53009,plain,( 83.49/12.25 ~member(sK7,sK5) | spl19_166), 83.49/12.25 inference(avatar_component_clause,[],[f53008])). 83.49/12.25 tff(f321053,plain,( 83.49/12.25 1 = cardinality(union(sF13,sF8)) | empty_set != sF13 | member(sK7,sK5) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_98)), 83.49/12.25 inference(superposition,[],[f268960,f127])). 83.49/12.25 tff(f268960,plain,( 83.49/12.25 ( ! [X0 : element] : (singleton(X0) != empty_set | 1 = cardinality(union(singleton(X0),sF8)) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_13 | ~spl19_98)), 83.49/12.25 inference(forward_demodulation,[],[f92534,f6759])). 83.49/12.25 tff(f92534,plain,( 83.49/12.25 ( ! [X0 : element] : (singleton(X0) != empty_set | cardinality(sF8) = cardinality(union(singleton(X0),sF8)) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_13)), 83.49/12.25 inference(superposition,[],[f42,f92321])). 83.49/12.25 tff(f92321,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF8) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_13)), 83.49/12.25 inference(duplicate_literal_removal,[],[f92287])). 83.49/12.25 tff(f92287,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF8) | member(X0,sK5) | empty_set = intersection(singleton(X0),sF8)) ) | (~spl19_5 | ~spl19_13)), 83.49/12.25 inference(superposition,[],[f52440,f4842])). 83.49/12.25 tff(f321058,plain,( 83.49/12.25 spl19_223 | ~spl19_57 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_98), 83.49/12.25 inference(avatar_split_clause,[],[f321055,f6758,f138,f122,f106,f102,f682,f54529])). 83.49/12.25 tff(f54529,plain,( 83.49/12.25 spl19_223 <=> 1 = cardinality(union(sF11,sF8))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_223])])). 83.49/12.25 tff(f102,plain,( 83.49/12.25 spl19_4 <=> member(sK6,sK5)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_4])])). 83.49/12.25 tff(f321055,plain,( 83.49/12.25 1 = cardinality(union(sF11,sF8)) | empty_set != sF11 | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_98)), 83.49/12.25 inference(subsumption_resolution,[],[f321052,f103])). 83.49/12.25 tff(f103,plain,( 83.49/12.25 ~member(sK6,sK5) | spl19_4), 83.49/12.25 inference(avatar_component_clause,[],[f102])). 83.49/12.25 tff(f321052,plain,( 83.49/12.25 empty_set != sF11 | 1 = cardinality(union(sF11,sF8)) | member(sK6,sK5) | (~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_98)), 83.49/12.25 inference(superposition,[],[f268960,f123])). 83.49/12.25 tff(f321057,plain,( 83.49/12.25 spl19_256 | ~spl19_59 | spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_97), 83.49/12.25 inference(avatar_split_clause,[],[f321049,f6753,f158,f126,f114,f90,f1016,f55120])). 83.49/12.25 tff(f55120,plain,( 83.49/12.25 spl19_256 <=> 1 = cardinality(union(sF13,sF11))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_256])])). 83.49/12.25 tff(f321049,plain,( 83.49/12.25 1 = cardinality(union(sF13,sF11)) | empty_set != sF13 | (spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_97)), 83.49/12.25 inference(subsumption_resolution,[],[f321047,f91])). 83.49/12.25 tff(f321047,plain,( 83.49/12.25 empty_set != sF13 | 1 = cardinality(union(sF13,sF11)) | member(sK7,sK2) | (~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_97)), 83.49/12.25 inference(superposition,[],[f268899,f127])). 83.49/12.25 tff(f268899,plain,( 83.49/12.25 ( ! [X0 : element] : (singleton(X0) != empty_set | 1 = cardinality(union(singleton(X0),sF11)) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_18 | ~spl19_97)), 83.49/12.25 inference(forward_demodulation,[],[f92639,f6754])). 83.49/12.25 tff(f92639,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK2) | cardinality(sF11) = cardinality(union(singleton(X0),sF11)) | singleton(X0) != empty_set) ) | (~spl19_7 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f42,f92325])). 83.49/12.25 tff(f92325,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF11) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_18)), 83.49/12.25 inference(duplicate_literal_removal,[],[f92296])). 83.49/12.25 tff(f92296,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF11) | empty_set = intersection(singleton(X0),sF11) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f52946,f4842])). 83.49/12.25 tff(f52946,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF11)),sK2) | empty_set = intersection(X0,sF11)) ) | (~spl19_7 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f4911,f272])). 83.49/12.25 tff(f4911,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF11)),sF18) | empty_set = intersection(X0,sF11)) ) | ~spl19_18), 83.49/12.25 inference(resolution,[],[f234,f238])). 83.49/12.25 tff(f321033,plain,( 83.49/12.25 spl19_1098 | ~spl19_7 | ~spl19_1095), 83.49/12.25 inference(avatar_split_clause,[],[f320413,f320403,f114,f320985])). 83.49/12.25 tff(f320985,plain,( 83.49/12.25 spl19_1098 <=> member(sK0(sK3),sK2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1098])])). 83.49/12.25 tff(f320403,plain,( 83.49/12.25 spl19_1095 <=> member(sK0(sK3),sF18)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1095])])). 83.49/12.25 tff(f320413,plain,( 83.49/12.25 member(sK0(sK3),sK2) | (~spl19_7 | ~spl19_1095)), 83.49/12.25 inference(resolution,[],[f320404,f272])). 83.49/12.25 tff(f320404,plain,( 83.49/12.25 member(sK0(sK3),sF18) | ~spl19_1095), 83.49/12.25 inference(avatar_component_clause,[],[f320403])). 83.49/12.25 tff(f321023,plain,( 83.49/12.25 spl19_1100 | spl19_89 | spl19_1101 | ~spl19_3 | ~spl19_8 | ~spl19_14), 83.49/12.25 inference(avatar_split_clause,[],[f321012,f142,f118,f98,f321021,f2526,f321018])). 83.49/12.25 tff(f321018,plain,( 83.49/12.25 spl19_1100 <=> sK1 = sK0(sF10)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1100])])). 83.49/12.25 tff(f2526,plain,( 83.49/12.25 spl19_89 <=> empty_set = sF10), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_89])])). 83.49/12.25 tff(f321012,plain,( 83.49/12.25 member(sK0(sF10),sK4) | empty_set = sF10 | sK1 = sK0(sF10) | (~spl19_3 | ~spl19_8 | ~spl19_14)), 83.49/12.25 inference(forward_demodulation,[],[f321011,f143])). 83.49/12.25 tff(f321011,plain,( 83.49/12.25 sK1 = sK0(union(sK3,sF8)) | member(sK0(sF10),sK4) | empty_set = sF10 | (~spl19_3 | ~spl19_8 | ~spl19_14)), 83.49/12.25 inference(forward_demodulation,[],[f321010,f143])). 83.49/12.25 tff(f321010,plain,( 83.49/12.25 member(sK0(union(sK3,sF8)),sK4) | sK1 = sK0(union(sK3,sF8)) | empty_set = sF10 | (~spl19_3 | ~spl19_8 | ~spl19_14)), 83.49/12.25 inference(forward_demodulation,[],[f320995,f143])). 83.49/12.25 tff(f320995,plain,( 83.49/12.25 empty_set = union(sK3,sF8) | sK1 = sK0(union(sK3,sF8)) | member(sK0(union(sK3,sF8)),sK4) | (~spl19_3 | ~spl19_8)), 83.49/12.25 inference(resolution,[],[f270,f11070])). 83.49/12.25 tff(f11070,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(union(X0,sF8)),X0) | sK1 = sK0(union(X0,sF8)) | empty_set = union(X0,sF8)) ) | ~spl19_8), 83.49/12.25 inference(resolution,[],[f347,f204])). 83.49/12.25 tff(f347,plain,( 83.49/12.25 ( ! [X0 : set,X1 : set] : (member(sK0(union(X0,X1)),X1) | member(sK0(union(X0,X1)),X0) | empty_set = union(X0,X1)) )), 83.49/12.25 inference(resolution,[],[f55,f59])). 83.49/12.25 tff(f321016,plain,( 83.49/12.25 ~spl19_1099 | ~spl19_145 | ~spl19_1095), 83.49/12.25 inference(avatar_split_clause,[],[f320411,f320403,f52201,f321014])). 83.49/12.25 tff(f321014,plain,( 83.49/12.25 spl19_1099 <=> member(sK0(sK3),sF13)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1099])])). 83.49/12.25 tff(f320411,plain,( 83.49/12.25 ~member(sK0(sK3),sF13) | (~spl19_145 | ~spl19_1095)), 83.49/12.25 inference(resolution,[],[f320404,f52220])). 83.49/12.25 tff(f320987,plain,( 83.49/12.25 spl19_1098 | ~spl19_351 | ~spl19_1094), 83.49/12.25 inference(avatar_split_clause,[],[f320400,f320389,f66621,f320985])). 83.49/12.25 tff(f320389,plain,( 83.49/12.25 spl19_1094 <=> member(sK0(sK3),sK5)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1094])])). 83.49/12.25 tff(f320400,plain,( 83.49/12.25 member(sK0(sK3),sK2) | (~spl19_351 | ~spl19_1094)), 83.49/12.25 inference(resolution,[],[f320390,f66648])). 83.49/12.25 tff(f320390,plain,( 83.49/12.25 member(sK0(sK3),sK5) | ~spl19_1094), 83.49/12.25 inference(avatar_component_clause,[],[f320389])). 83.49/12.25 tff(f320427,plain,( 83.49/12.25 spl19_919 | spl19_1097 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18), 83.49/12.25 inference(avatar_split_clause,[],[f272844,f158,f138,f126,f114,f106,f320425,f271845])). 83.49/12.25 tff(f272844,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK2) | member(sK7,complement(sF8)) | ~member(X0,sF13)) ) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f272499,f127])). 83.49/12.25 tff(f272499,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X1,sK2) | member(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(subsumption_resolution,[],[f272488,f162])). 83.49/12.25 tff(f272488,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X1,empty_set) | member(X1,sK2) | member(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f61,f272395])). 83.49/12.25 tff(f272395,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = difference(singleton(X0),sK2) | member(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(duplicate_literal_removal,[],[f272390])). 83.49/12.25 tff(f272390,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = difference(singleton(X0),sK2) | empty_set = difference(singleton(X0),sK2) | member(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f272282,f4987])). 83.49/12.25 tff(f272282,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(difference(X0,sK2)),complement(sF8)) | empty_set = difference(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f272280,f59])). 83.49/12.25 tff(f272280,plain,( 83.49/12.25 ( ! [X0 : set,X1 : element] : (~member(X1,difference(X0,sK2)) | member(X1,complement(sF8))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(subsumption_resolution,[],[f272271,f162])). 83.49/12.25 tff(f272271,plain,( 83.49/12.25 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,difference(X0,sK2)) | member(X1,complement(sF8))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f61,f272210])). 83.49/12.25 tff(f272210,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = difference(difference(X0,sK2),complement(sF8))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(duplicate_literal_removal,[],[f272203])). 83.49/12.25 tff(f272203,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = difference(difference(X0,sK2),complement(sF8)) | empty_set = difference(difference(X0,sK2),complement(sF8))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f271659,f4991])). 83.49/12.25 tff(f320410,plain,( 83.49/12.25 spl19_919 | spl19_1096 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18), 83.49/12.25 inference(avatar_split_clause,[],[f272472,f158,f138,f126,f114,f106,f320407,f271845])). 83.49/12.25 tff(f272472,plain,( 83.49/12.25 empty_set = difference(sF13,sK2) | member(sK7,complement(sF8)) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f272395,f127])). 83.49/12.25 tff(f320409,plain,( 83.49/12.25 spl19_919 | spl19_1096 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18), 83.49/12.25 inference(avatar_split_clause,[],[f272393,f158,f138,f126,f114,f106,f320407,f271845])). 83.49/12.25 tff(f272393,plain,( 83.49/12.25 empty_set = difference(sF13,sK2) | member(sK7,complement(sF8)) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(duplicate_literal_removal,[],[f272388])). 83.49/12.25 tff(f272388,plain,( 83.49/12.25 empty_set = difference(sF13,sK2) | empty_set = difference(sF13,sK2) | member(sK7,complement(sF8)) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.49/12.25 inference(superposition,[],[f272282,f5006])). 83.49/12.25 tff(f320405,plain,( 83.49/12.25 spl19_1095 | ~spl19_18 | ~spl19_1094), 83.49/12.25 inference(avatar_split_clause,[],[f320401,f320389,f158,f320403])). 83.49/12.25 tff(f320401,plain,( 83.49/12.25 member(sK0(sK3),sF18) | (~spl19_18 | ~spl19_1094)), 83.49/12.25 inference(resolution,[],[f320390,f243])). 83.49/12.25 tff(f320391,plain,( 83.49/12.25 spl19_1094 | ~spl19_5 | ~spl19_1093), 83.49/12.25 inference(avatar_split_clause,[],[f320384,f320381,f106,f320389])). 83.49/12.25 tff(f320381,plain,( 83.49/12.25 spl19_1093 <=> member(sK0(sK3),sF9)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1093])])). 83.49/12.25 tff(f320384,plain,( 83.49/12.25 member(sK0(sK3),sK5) | (~spl19_5 | ~spl19_1093)), 83.49/12.25 inference(resolution,[],[f320382,f271])). 83.49/12.25 tff(f320382,plain,( 83.49/12.25 member(sK0(sK3),sF9) | ~spl19_1093), 83.49/12.25 inference(avatar_component_clause,[],[f320381])). 83.49/12.25 tff(f320383,plain,( 83.49/12.25 spl19_1093 | ~spl19_13 | ~spl19_28), 83.49/12.25 inference(avatar_split_clause,[],[f320358,f277,f138,f320381])). 83.49/12.25 tff(f277,plain,( 83.49/12.25 spl19_28 <=> member(sK0(sK3),sK4)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_28])])). 83.49/12.25 tff(f320358,plain,( 83.49/12.25 member(sK0(sK3),sF9) | (~spl19_13 | ~spl19_28)), 83.49/12.25 inference(resolution,[],[f278,f240])). 83.49/12.25 tff(f278,plain,( 83.49/12.25 member(sK0(sK3),sK4) | ~spl19_28), 83.49/12.25 inference(avatar_component_clause,[],[f277])). 83.49/12.25 tff(f320379,plain,( 83.49/12.25 ~spl19_15 | spl19_278 | ~spl19_972), 83.49/12.25 inference(avatar_contradiction_clause,[],[f320378])). 83.49/12.25 tff(f320378,plain,( 83.49/12.25 $false | (~spl19_15 | spl19_278 | ~spl19_972)), 83.49/12.25 inference(subsumption_resolution,[],[f320377,f234593])). 83.49/12.25 tff(f320377,plain,( 83.49/12.25 member(sK7,sF12) | (~spl19_15 | ~spl19_972)), 83.49/12.25 inference(resolution,[],[f320375,f242])). 83.49/12.25 tff(f242,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF10) | member(X0,sF12)) ) | ~spl19_15), 83.49/12.25 inference(superposition,[],[f54,f147])). 83.49/12.25 tff(f320376,plain,( 83.49/12.25 spl19_972 | spl19_873 | ~spl19_10 | ~spl19_15 | spl19_271), 83.49/12.25 inference(avatar_split_clause,[],[f320353,f55520,f146,f126,f263830,f276607])). 83.49/12.25 tff(f263830,plain,( 83.49/12.25 spl19_873 <=> empty_set = intersection(sF13,sF12)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_873])])). 83.49/12.25 tff(f320353,plain,( 83.49/12.25 empty_set = intersection(sF13,sF12) | member(sK7,sF10) | (~spl19_10 | ~spl19_15 | spl19_271)), 83.49/12.25 inference(subsumption_resolution,[],[f278815,f97687])). 83.49/12.25 tff(f97687,plain,( 83.49/12.25 ~member(sK7,sF11) | spl19_271), 83.49/12.25 inference(avatar_component_clause,[],[f55520])). 83.49/12.25 tff(f278815,plain,( 83.49/12.25 member(sK7,sF10) | member(sK7,sF11) | empty_set = intersection(sF13,sF12) | (~spl19_10 | ~spl19_15)), 83.49/12.25 inference(duplicate_literal_removal,[],[f278809])). 83.49/12.25 tff(f278809,plain,( 83.49/12.25 empty_set = intersection(sF13,sF12) | member(sK7,sF11) | empty_set = intersection(sF13,sF12) | member(sK7,sF10) | (~spl19_10 | ~spl19_15)), 83.49/12.25 inference(superposition,[],[f270103,f4861])). 83.49/12.25 tff(f270103,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF12)),sF11) | empty_set = intersection(X0,sF12) | member(sK0(intersection(X0,sF12)),sF10)) ) | ~spl19_15), 83.49/12.25 inference(resolution,[],[f350,f234])). 83.49/12.25 tff(f320352,plain,( 83.49/12.25 ~spl19_52 | ~spl19_245 | spl19_1052), 83.49/12.25 inference(avatar_contradiction_clause,[],[f320351])). 83.49/12.25 tff(f320351,plain,( 83.49/12.25 $false | (~spl19_52 | ~spl19_245 | spl19_1052)), 83.49/12.25 inference(subsumption_resolution,[],[f320350,f564])). 83.49/12.25 tff(f564,plain,( 83.49/12.25 member(sK1,sF12) | ~spl19_52), 83.49/12.25 inference(avatar_component_clause,[],[f563])). 83.49/12.25 tff(f563,plain,( 83.49/12.25 spl19_52 <=> member(sK1,sF12)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_52])])). 83.49/12.25 tff(f320350,plain,( 83.49/12.25 ~member(sK1,sF12) | (~spl19_245 | spl19_1052)), 83.49/12.25 inference(subsumption_resolution,[],[f320349,f54912])). 83.49/12.25 tff(f54912,plain,( 83.49/12.25 member(sK1,complement(sF11)) | ~spl19_245), 83.49/12.25 inference(avatar_component_clause,[],[f54911])). 83.49/12.25 tff(f54911,plain,( 83.49/12.25 spl19_245 <=> member(sK1,complement(sF11))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_245])])). 83.49/12.25 tff(f320349,plain,( 83.49/12.25 ~member(sK1,complement(sF11)) | ~member(sK1,sF12) | spl19_1052), 83.49/12.25 inference(resolution,[],[f315743,f46])). 83.49/12.25 tff(f315743,plain,( 83.49/12.25 ~member(sK1,intersection(sF12,complement(sF11))) | spl19_1052), 83.49/12.25 inference(avatar_component_clause,[],[f315742])). 83.49/12.25 tff(f315742,plain,( 83.49/12.25 spl19_1052 <=> member(sK1,intersection(sF12,complement(sF11)))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1052])])). 83.49/12.25 tff(f320348,plain,( 83.49/12.25 spl19_1092 | spl19_1084 | spl19_4 | ~spl19_5 | ~spl19_7 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_351 | ~spl19_353), 83.49/12.25 inference(avatar_split_clause,[],[f320287,f66743,f66621,f264,f181,f158,f146,f142,f138,f122,f114,f106,f102,f320155,f320346])). 83.49/12.25 tff(f320346,plain,( 83.49/12.25 spl19_1092 <=> ! [X0 : element] : member(X0,sK2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1092])])). 83.49/12.25 tff(f320155,plain,( 83.49/12.25 spl19_1084 <=> cardinality(sF12) = $sum(1,cardinality(sF10))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1084])])). 83.49/12.25 tff(f66743,plain,( 83.49/12.25 spl19_353 <=> empty_set = difference(sF8,sK5)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_353])])). 83.49/12.25 tff(f320287,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK2) | cardinality(sF12) = $sum(1,cardinality(sF10))) ) | (spl19_4 | ~spl19_5 | ~spl19_7 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_351 | ~spl19_353)), 83.49/12.25 inference(subsumption_resolution,[],[f320279,f272])). 83.49/12.25 tff(f320279,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(sF12) = $sum(1,cardinality(sF10)) | member(X0,sF18) | member(X0,sK2)) ) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_351 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f320153,f278124])). 83.49/12.25 tff(f278124,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(union(sF10,singleton(X0))) = $sum(1,cardinality(sF10)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_351)), 83.49/12.25 inference(forward_demodulation,[],[f278123,f15])). 83.49/12.25 tff(f278123,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK2) | cardinality(union(sF10,singleton(X0))) = $sum(cardinality(sF10),1)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_351)), 83.49/12.25 inference(forward_demodulation,[],[f278122,f6730])). 83.49/12.25 tff(f278122,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(union(sF10,singleton(X0))) = $sum(cardinality(sF10),cardinality(singleton(X0))) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26 | ~spl19_351)), 83.49/12.25 inference(trivial_inequality_removal,[],[f278115])). 83.49/12.25 tff(f278115,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK2) | empty_set != empty_set | cardinality(union(sF10,singleton(X0))) = $sum(cardinality(sF10),cardinality(singleton(X0)))) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26 | ~spl19_351)), 83.49/12.25 inference(superposition,[],[f73,f277988])). 83.49/12.25 tff(f277988,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(sF10,singleton(X0)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26 | ~spl19_351)), 83.49/12.25 inference(duplicate_literal_removal,[],[f277976])). 83.49/12.25 tff(f277976,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK2) | empty_set = intersection(sF10,singleton(X0)) | empty_set = intersection(sF10,singleton(X0))) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26 | ~spl19_351)), 83.49/12.25 inference(superposition,[],[f276757,f4898])). 83.49/12.25 tff(f276757,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF10,X0)),sK2) | empty_set = intersection(sF10,X0)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26 | ~spl19_351)), 83.49/12.25 inference(resolution,[],[f276630,f66648])). 83.49/12.25 tff(f276630,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF10,X0)),sK5) | empty_set = intersection(sF10,X0)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f276020,f271])). 83.49/12.25 tff(f276020,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF10,X0)),sF9) | empty_set = intersection(sF10,X0)) ) | (~spl19_13 | ~spl19_14 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f269318,f235])). 83.49/12.25 tff(f269318,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF10,X0)),sF8) | empty_set = intersection(sF10,X0)) ) | (~spl19_14 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f54817,f233])). 83.49/12.25 tff(f54817,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF10) | member(X0,sF8)) ) | (~spl19_14 | ~spl19_26)), 83.49/12.25 inference(subsumption_resolution,[],[f54816,f162])). 83.49/12.25 tff(f54816,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sF8) | member(X0,empty_set) | ~member(X0,sF10)) ) | (~spl19_14 | ~spl19_26)), 83.49/12.25 inference(forward_demodulation,[],[f349,f265])). 83.49/12.25 tff(f265,plain,( 83.49/12.25 empty_set = sK3 | ~spl19_26), 83.49/12.25 inference(avatar_component_clause,[],[f264])). 83.49/12.25 tff(f320153,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(sF12) = cardinality(union(sF10,singleton(X0))) | member(X0,sF18)) ) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(backward_demodulation,[],[f277081,f320146])). 83.49/12.25 tff(f320146,plain,( 83.49/12.25 cardinality(sF12) = $sum(1,cardinality(sF10)) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(forward_demodulation,[],[f320145,f147])). 83.49/12.25 tff(f320145,plain,( 83.49/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF10,sF11)) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(subsumption_resolution,[],[f320134,f103])). 83.49/12.25 tff(f320134,plain,( 83.49/12.25 member(sK6,sK5) | $sum(1,cardinality(sF10)) = cardinality(union(sF10,sF11)) | (~spl19_9 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f276156,f123])). 83.49/12.25 tff(f276156,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(union(sF10,singleton(X0))) = $sum(1,cardinality(sF10)) | member(X0,sK5)) ) | (~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(forward_demodulation,[],[f276155,f15])). 83.49/12.25 tff(f276155,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK5) | cardinality(union(sF10,singleton(X0))) = $sum(cardinality(sF10),1)) ) | (~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(forward_demodulation,[],[f276152,f6730])). 83.49/12.25 tff(f276152,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(union(sF10,singleton(X0))) = $sum(cardinality(sF10),cardinality(singleton(X0))) | member(X0,sK5)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(trivial_inequality_removal,[],[f276145])). 83.49/12.25 tff(f276145,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(union(sF10,singleton(X0))) = $sum(cardinality(sF10),cardinality(singleton(X0))) | empty_set != empty_set | member(X0,sK5)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f73,f276072])). 83.49/12.25 tff(f276072,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(sF10,singleton(X0)) | member(X0,sK5)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(duplicate_literal_removal,[],[f276067])). 83.49/12.25 tff(f276067,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(sF10,singleton(X0)) | member(X0,sK5) | empty_set = intersection(sF10,singleton(X0))) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f276023,f4898])). 83.49/12.25 tff(f276023,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF10,X0)),sK5) | empty_set = intersection(sF10,X0)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(resolution,[],[f269318,f268979])). 83.49/12.25 tff(f268979,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF8) | member(X0,sK5)) ) | ~spl19_353), 83.49/12.25 inference(subsumption_resolution,[],[f66751,f162])). 83.49/12.25 tff(f66751,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK5) | ~member(X0,sF8) | member(X0,empty_set)) ) | ~spl19_353), 83.49/12.25 inference(superposition,[],[f61,f66744])). 83.49/12.25 tff(f66744,plain,( 83.49/12.25 empty_set = difference(sF8,sK5) | ~spl19_353), 83.49/12.25 inference(avatar_component_clause,[],[f66743])). 83.49/12.25 tff(f277081,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(union(sF10,singleton(X0))) = $sum(1,cardinality(sF10)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_20 | ~spl19_26)), 83.49/12.25 inference(forward_demodulation,[],[f277080,f15])). 83.49/12.25 tff(f277080,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(union(sF10,singleton(X0))) = $sum(cardinality(sF10),1) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_20 | ~spl19_26)), 83.49/12.25 inference(forward_demodulation,[],[f277078,f6730])). 83.49/12.25 tff(f277078,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sF18) | cardinality(union(sF10,singleton(X0))) = $sum(cardinality(sF10),cardinality(singleton(X0)))) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.49/12.25 inference(trivial_inequality_removal,[],[f277071])). 83.49/12.25 tff(f277071,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set != empty_set | member(X0,sF18) | cardinality(union(sF10,singleton(X0))) = $sum(cardinality(sF10),cardinality(singleton(X0)))) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.49/12.25 inference(superposition,[],[f73,f276853])). 83.49/12.25 tff(f276853,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(sF10,singleton(X0)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.49/12.25 inference(duplicate_literal_removal,[],[f276848])). 83.49/12.25 tff(f276848,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sF18) | empty_set = intersection(sF10,singleton(X0)) | empty_set = intersection(sF10,singleton(X0))) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.49/12.25 inference(superposition,[],[f276758,f4898])). 83.49/12.25 tff(f276758,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF10,X0)),sF18) | empty_set = intersection(sF10,X0)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f276630,f243])). 83.49/12.25 tff(f320330,plain,( 83.49/12.25 spl19_1091 | ~spl19_1089), 83.49/12.25 inference(avatar_split_clause,[],[f320298,f320270,f320328])). 83.49/12.25 tff(f320328,plain,( 83.49/12.25 spl19_1091 <=> $less(-2,cardinality(sF12))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1091])])). 83.49/12.25 tff(f320270,plain,( 83.49/12.25 spl19_1089 <=> $less(-1,cardinality(sF12))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1089])])). 83.49/12.25 tff(f320298,plain,( 83.49/12.25 $less(-2,cardinality(sF12)) | ~spl19_1089), 83.49/12.25 inference(resolution,[],[f320271,f48034])). 83.49/12.25 tff(f320271,plain,( 83.49/12.25 $less(-1,cardinality(sF12)) | ~spl19_1089), 83.49/12.25 inference(avatar_component_clause,[],[f320270])). 83.49/12.25 tff(f320304,plain,( 83.49/12.25 spl19_1073 | spl19_1 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_351), 83.49/12.25 inference(avatar_split_clause,[],[f320291,f66621,f264,f181,f142,f138,f126,f106,f90,f319614])). 83.49/12.25 tff(f319614,plain,( 83.49/12.25 spl19_1073 <=> $sum(1,cardinality(sF10)) = cardinality(union(sF10,sF13))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1073])])). 83.49/12.25 tff(f320291,plain,( 83.49/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF10,sF13)) | (spl19_1 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_351)), 83.49/12.25 inference(subsumption_resolution,[],[f320273,f91])). 83.49/12.25 tff(f320273,plain,( 83.49/12.25 member(sK7,sK2) | $sum(1,cardinality(sF10)) = cardinality(union(sF10,sF13)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_351)), 83.49/12.25 inference(superposition,[],[f278124,f127])). 83.49/12.25 tff(f320297,plain,( 83.49/12.25 ~spl19_1090 | ~spl19_1022 | spl19_1072), 83.49/12.25 inference(avatar_split_clause,[],[f320090,f319565,f304364,f320295])). 83.49/12.25 tff(f320295,plain,( 83.49/12.25 spl19_1090 <=> $less(1,$uminus(cardinality(sF12)))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1090])])). 83.49/12.25 tff(f304364,plain,( 83.49/12.25 spl19_1022 <=> sF15 = $sum(1,cardinality(sF12))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1022])])). 83.49/12.25 tff(f320090,plain,( 83.49/12.25 ~$less(1,$uminus(cardinality(sF12))) | (~spl19_1022 | spl19_1072)), 83.49/12.25 inference(subsumption_resolution,[],[f319714,f319566])). 83.49/12.25 tff(f319714,plain,( 83.49/12.25 ~$less(1,$uminus(cardinality(sF12))) | $less(sF15,0) | ~spl19_1022), 83.49/12.25 inference(superposition,[],[f312,f304365])). 83.49/12.25 tff(f304365,plain,( 83.49/12.25 sF15 = $sum(1,cardinality(sF12)) | ~spl19_1022), 83.49/12.25 inference(avatar_component_clause,[],[f304364])). 83.49/12.25 tff(f320272,plain,( 83.49/12.25 spl19_1089 | ~spl19_1083), 83.49/12.25 inference(avatar_split_clause,[],[f320237,f320148,f320270])). 83.49/12.25 tff(f320148,plain,( 83.49/12.25 spl19_1083 <=> $less(0,cardinality(sF12))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1083])])). 83.49/12.25 tff(f320237,plain,( 83.49/12.25 $less(-1,cardinality(sF12)) | ~spl19_1083), 83.49/12.25 inference(resolution,[],[f320149,f7446])). 83.49/12.25 tff(f7446,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less(0,X0) | $less(-1,X0)) )), 83.49/12.25 inference(evaluation,[],[f7441])). 83.49/12.25 tff(f7441,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less($uminus(1),X0) | ~$less(0,X0)) )), 83.49/12.25 inference(superposition,[],[f5109,f161])). 83.49/12.25 tff(f5109,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : (~$less($sum(X0,1),X1) | $less(X0,X1)) )), 83.49/12.25 inference(resolution,[],[f256,f20])). 83.49/12.25 tff(f320149,plain,( 83.49/12.25 $less(0,cardinality(sF12)) | ~spl19_1083), 83.49/12.25 inference(avatar_component_clause,[],[f320148])). 83.49/12.25 tff(f320235,plain,( 83.49/12.25 spl19_1088 | spl19_1084 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_353), 83.49/12.25 inference(avatar_split_clause,[],[f320228,f66743,f264,f181,f158,f146,f142,f138,f122,f106,f102,f320155,f320232])). 83.49/12.25 tff(f320232,plain,( 83.49/12.25 spl19_1088 <=> ! [X0 : element] : member(X0,sF18)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1088])])). 83.49/12.25 tff(f320228,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(sF12) = $sum(1,cardinality(sF10)) | member(X0,sF18)) ) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(subsumption_resolution,[],[f320212,f243])). 83.49/12.25 tff(f320212,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(sF12) = $sum(1,cardinality(sF10)) | member(X0,sK5) | member(X0,sF18)) ) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f320152,f277842])). 83.49/12.25 tff(f277842,plain,( 83.49/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF10)) = cardinality(union(singleton(X0),sF10)) | member(X0,sK5)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(trivial_inequality_removal,[],[f277830])). 83.49/12.25 tff(f277830,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK5) | $sum(1,cardinality(sF10)) = cardinality(union(singleton(X0),sF10)) | empty_set != empty_set) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f404,f277569])). 83.49/12.25 tff(f277569,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF10) | member(X0,sK5)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(duplicate_literal_removal,[],[f277566])). 83.49/12.25 tff(f277566,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK5) | empty_set = intersection(singleton(X0),sF10) | empty_set = intersection(singleton(X0),sF10)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f276657,f4842])). 83.49/12.25 tff(f276657,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF10)),sK5) | empty_set = intersection(X0,sF10)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(resolution,[],[f269329,f268979])). 83.49/12.25 tff(f269329,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF10)),sF8) | empty_set = intersection(X0,sF10)) ) | (~spl19_14 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f54817,f234])). 83.49/12.25 tff(f320152,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(sF12) = cardinality(union(singleton(X0),sF10)) | member(X0,sF18)) ) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(backward_demodulation,[],[f277968,f320146])). 83.49/12.25 tff(f277968,plain,( 83.49/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF10)) = cardinality(union(singleton(X0),sF10)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.49/12.25 inference(trivial_inequality_removal,[],[f277956])). 83.49/12.25 tff(f277956,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set != empty_set | member(X0,sF18) | $sum(1,cardinality(sF10)) = cardinality(union(singleton(X0),sF10))) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.49/12.25 inference(superposition,[],[f404,f277904])). 83.49/12.25 tff(f277904,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF10) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.49/12.25 inference(duplicate_literal_removal,[],[f277899])). 83.49/12.25 tff(f277899,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF10) | member(X0,sF18) | empty_set = intersection(singleton(X0),sF10)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.49/12.25 inference(superposition,[],[f277871,f4842])). 83.49/12.25 tff(f277871,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF10)),sF18) | empty_set = intersection(X0,sF10)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f277789,f243])). 83.49/12.25 tff(f277789,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF10)),sK5) | empty_set = intersection(X0,sF10)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f276654,f271])). 83.49/12.25 tff(f276654,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF10)),sF9) | empty_set = intersection(X0,sF10)) ) | (~spl19_13 | ~spl19_14 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f269329,f235])). 83.49/12.25 tff(f320234,plain,( 83.49/12.25 spl19_1084 | spl19_1088 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_353), 83.49/12.25 inference(avatar_split_clause,[],[f320224,f66743,f264,f181,f158,f146,f142,f138,f122,f106,f102,f320232,f320155])). 83.49/12.25 tff(f320224,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(sF12) = $sum(1,cardinality(sF10)) | member(X0,sF18)) ) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(subsumption_resolution,[],[f320211,f243])). 83.49/12.25 tff(f320211,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK5) | cardinality(sF12) = $sum(1,cardinality(sF10)) | member(X0,sF18)) ) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f277842,f320152])). 83.49/12.25 tff(f320230,plain,( 83.49/12.25 spl19_1011 | spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_26 | ~spl19_353), 83.49/12.25 inference(avatar_split_clause,[],[f320227,f66743,f264,f142,f122,f102,f298823])). 83.49/12.25 tff(f298823,plain,( 83.49/12.25 spl19_1011 <=> $sum(1,cardinality(sF10)) = cardinality(union(sF11,sF10))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1011])])). 83.49/12.25 tff(f320227,plain,( 83.49/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF11,sF10)) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(subsumption_resolution,[],[f320210,f103])). 83.49/12.25 tff(f320210,plain,( 83.49/12.25 member(sK6,sK5) | $sum(1,cardinality(sF10)) = cardinality(union(sF11,sF10)) | (~spl19_9 | ~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f277842,f123])). 83.49/12.25 tff(f320229,plain,( 83.49/12.25 spl19_1010 | ~spl19_10 | ~spl19_14 | ~spl19_26 | spl19_166 | ~spl19_353), 83.49/12.25 inference(avatar_split_clause,[],[f320222,f66743,f53008,f264,f142,f126,f298784])). 83.49/12.25 tff(f298784,plain,( 83.49/12.25 spl19_1010 <=> $sum(1,cardinality(sF10)) = cardinality(union(sF13,sF10))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1010])])). 83.49/12.25 tff(f320222,plain,( 83.49/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF13,sF10)) | (~spl19_10 | ~spl19_14 | ~spl19_26 | spl19_166 | ~spl19_353)), 83.49/12.25 inference(subsumption_resolution,[],[f320208,f53009])). 83.49/12.25 tff(f320208,plain,( 83.49/12.25 member(sK7,sK5) | $sum(1,cardinality(sF10)) = cardinality(union(sF13,sF10)) | (~spl19_10 | ~spl19_14 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f277842,f127])). 83.49/12.25 tff(f320207,plain,( 83.49/12.25 spl19_1087 | spl19_4 | ~spl19_9 | ~spl19_10 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | spl19_166 | ~spl19_353), 83.49/12.25 inference(avatar_split_clause,[],[f320205,f66743,f53008,f264,f181,f146,f142,f126,f122,f102,f320190])). 83.49/12.25 tff(f320190,plain,( 83.49/12.25 spl19_1087 <=> cardinality(sF12) = cardinality(union(sF10,sF13))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1087])])). 83.49/12.25 tff(f320205,plain,( 83.49/12.25 cardinality(sF12) = cardinality(union(sF10,sF13)) | (spl19_4 | ~spl19_9 | ~spl19_10 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | spl19_166 | ~spl19_353)), 83.49/12.25 inference(subsumption_resolution,[],[f320197,f53009])). 83.49/12.25 tff(f320197,plain,( 83.49/12.25 cardinality(sF12) = cardinality(union(sF10,sF13)) | member(sK7,sK5) | (spl19_4 | ~spl19_9 | ~spl19_10 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f320151,f127])). 83.49/12.25 tff(f320151,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(sF12) = cardinality(union(sF10,singleton(X0))) | member(X0,sK5)) ) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(backward_demodulation,[],[f276156,f320146])). 83.49/12.25 tff(f320192,plain,( 83.49/12.25 spl19_1087 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | spl19_147 | ~spl19_353), 83.49/12.25 inference(avatar_split_clause,[],[f320188,f66743,f52209,f264,f181,f158,f146,f142,f138,f126,f122,f106,f102,f320190])). 83.49/12.25 tff(f320188,plain,( 83.49/12.25 cardinality(sF12) = cardinality(union(sF10,sF13)) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | spl19_147 | ~spl19_353)), 83.49/12.25 inference(subsumption_resolution,[],[f320180,f84082])). 83.49/12.25 tff(f320180,plain,( 83.49/12.25 cardinality(sF12) = cardinality(union(sF10,sF13)) | member(sK7,sF18) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f320153,f127])). 83.49/12.25 tff(f320179,plain,( 83.49/12.25 spl19_1086 | spl19_992 | ~spl19_13 | ~spl19_14 | ~spl19_26), 83.49/12.25 inference(avatar_split_clause,[],[f285847,f264,f142,f138,f289171,f320177])). 83.49/12.25 tff(f320177,plain,( 83.49/12.25 spl19_1086 <=> member(sK0(union(sF9,sF10)),sF9)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1086])])). 83.49/12.25 tff(f289171,plain,( 83.49/12.25 spl19_992 <=> empty_set = union(sF9,sF10)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_992])])). 83.49/12.25 tff(f285847,plain,( 83.49/12.25 member(sK0(union(sF9,sF10)),sF9) | empty_set = union(sF9,sF10) | (~spl19_13 | ~spl19_14 | ~spl19_26)), 83.49/12.25 inference(factoring,[],[f278630])). 83.49/12.25 tff(f278630,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(union(X0,sF10)),sF9) | member(sK0(union(X0,sF10)),X0) | empty_set = union(X0,sF10)) ) | (~spl19_13 | ~spl19_14 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f269333,f235])). 83.49/12.25 tff(f269333,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(union(X0,sF10)),sF8) | empty_set = union(X0,sF10) | member(sK0(union(X0,sF10)),X0)) ) | (~spl19_14 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f54817,f347])). 83.49/12.25 tff(f320173,plain,( 83.49/12.25 spl19_1085 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | spl19_147 | ~spl19_353), 83.49/12.25 inference(avatar_split_clause,[],[f320169,f66743,f52209,f264,f181,f158,f146,f142,f138,f126,f122,f106,f102,f320171])). 83.49/12.25 tff(f320171,plain,( 83.49/12.25 spl19_1085 <=> cardinality(sF12) = cardinality(union(sF13,sF10))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1085])])). 83.49/12.25 tff(f320169,plain,( 83.49/12.25 cardinality(sF12) = cardinality(union(sF13,sF10)) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | spl19_147 | ~spl19_353)), 83.49/12.25 inference(subsumption_resolution,[],[f320159,f84082])). 83.49/12.25 tff(f320159,plain,( 83.49/12.25 cardinality(sF12) = cardinality(union(sF13,sF10)) | member(sK7,sF18) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f320152,f127])). 83.49/12.25 tff(f320158,plain,( 83.49/12.25 spl19_1073 | ~spl19_10 | ~spl19_14 | ~spl19_20 | ~spl19_26 | spl19_166 | ~spl19_353), 83.49/12.25 inference(avatar_split_clause,[],[f320141,f66743,f53008,f264,f181,f142,f126,f319614])). 83.49/12.25 tff(f320141,plain,( 83.49/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF10,sF13)) | (~spl19_10 | ~spl19_14 | ~spl19_20 | ~spl19_26 | spl19_166 | ~spl19_353)), 83.49/12.25 inference(subsumption_resolution,[],[f320132,f53009])). 83.49/12.25 tff(f320132,plain,( 83.49/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF10,sF13)) | member(sK7,sK5) | (~spl19_10 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_353)), 83.49/12.25 inference(superposition,[],[f276156,f127])). 83.49/12.25 tff(f320157,plain,( 83.49/12.25 spl19_1084 | spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353), 83.49/12.25 inference(avatar_split_clause,[],[f320146,f66743,f264,f181,f146,f142,f122,f102,f320155])). 83.49/12.25 tff(f320150,plain,( 83.49/12.25 spl19_1083 | ~spl19_1022 | ~spl19_1055), 83.49/12.25 inference(avatar_split_clause,[],[f320092,f316903,f304364,f320148])). 83.49/12.25 tff(f316903,plain,( 83.49/12.25 spl19_1055 <=> $less(1,sF15)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1055])])). 83.49/12.25 tff(f320092,plain,( 83.49/12.25 $less(0,cardinality(sF12)) | (~spl19_1022 | ~spl19_1055)), 83.49/12.25 inference(subsumption_resolution,[],[f319963,f316904])). 83.49/12.25 tff(f316904,plain,( 83.49/12.25 $less(1,sF15) | ~spl19_1055), 83.49/12.25 inference(avatar_component_clause,[],[f316903])). 83.49/12.25 tff(f319963,plain,( 83.49/12.25 $less(0,cardinality(sF12)) | ~$less(1,sF15) | ~spl19_1022), 83.49/12.25 inference(superposition,[],[f12463,f304365])). 83.49/12.25 tff(f12463,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : (~$less(X0,$sum(X0,X1)) | $less(0,X1)) )), 83.49/12.25 inference(superposition,[],[f975,f339])). 83.49/12.25 tff(f339,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($sum($uminus(X0),$sum(X0,X1)) = X1) )), 83.49/12.25 inference(evaluation,[],[f323])). 83.49/12.25 tff(f323,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum($uminus(X0),$sum(X0,X1))) )), 83.49/12.25 inference(superposition,[],[f16,f161])). 83.49/12.25 tff(f975,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($less(0,$sum($uminus(X1),X0)) | ~$less(X1,X0)) )), 83.49/12.25 inference(superposition,[],[f300,f15])). 83.49/12.25 tff(f300,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($less(0,$sum(X1,$uminus(X0))) | ~$less(X0,X1)) )), 83.49/12.25 inference(superposition,[],[f23,f19])). 83.49/12.25 tff(f320131,plain,( 83.49/12.25 spl19_1082 | spl19_1015 | ~spl19_8 | ~spl19_14 | ~spl19_26), 83.49/12.25 inference(avatar_split_clause,[],[f285793,f264,f142,f118,f303586,f320129])). 83.49/12.25 tff(f320129,plain,( 83.49/12.25 spl19_1082 <=> sK1 = sK0(union(sF10,sF10))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1082])])). 83.49/12.25 tff(f303586,plain,( 83.49/12.25 spl19_1015 <=> empty_set = union(sF10,sF10)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1015])])). 83.49/12.25 tff(f285793,plain,( 83.49/12.25 empty_set = union(sF10,sF10) | sK1 = sK0(union(sF10,sF10)) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.49/12.25 inference(subsumption_resolution,[],[f285772,f204])). 83.49/12.25 tff(f285772,plain,( 83.49/12.25 member(sK0(union(sF10,sF10)),sF8) | sK1 = sK0(union(sF10,sF10)) | empty_set = union(sF10,sF10) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f278629,f54817])). 83.49/12.25 tff(f278629,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(union(X0,sF10)),X0) | empty_set = union(X0,sF10) | sK1 = sK0(union(X0,sF10))) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f269333,f204])). 83.49/12.25 tff(f320127,plain,( 83.49/12.25 ~spl19_1081 | ~spl19_1022 | spl19_1056), 83.49/12.25 inference(avatar_split_clause,[],[f320081,f316907,f304364,f320125])). 83.49/12.25 tff(f320125,plain,( 83.49/12.25 spl19_1081 <=> $less(cardinality(sF12),0)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1081])])). 83.49/12.25 tff(f316907,plain,( 83.49/12.25 spl19_1056 <=> $less(sF15,1)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1056])])). 83.49/12.25 tff(f320081,plain,( 83.49/12.25 ~$less(cardinality(sF12),0) | (~spl19_1022 | spl19_1056)), 83.49/12.25 inference(subsumption_resolution,[],[f319681,f316908])). 83.49/12.25 tff(f316908,plain,( 83.49/12.25 ~$less(sF15,1) | spl19_1056), 83.49/12.25 inference(avatar_component_clause,[],[f316907])). 83.49/12.25 tff(f319681,plain,( 83.49/12.25 ~$less(cardinality(sF12),0) | $less(sF15,1) | ~spl19_1022), 83.49/12.25 inference(superposition,[],[f598,f304365])). 83.49/12.25 tff(f598,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less($sum(1,X0),1) | ~$less(X0,0)) )), 83.49/12.25 inference(resolution,[],[f552,f229])). 83.49/12.25 tff(f320122,plain,( 83.49/12.25 spl19_944 | spl19_1080 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_897 | ~spl19_970), 83.49/12.25 inference(avatar_split_clause,[],[f319668,f276252,f269820,f158,f146,f114,f320120,f273223])). 83.49/12.25 tff(f320120,plain,( 83.49/12.25 spl19_1080 <=> ! [X0 : set] : ~member(sK0(intersection(sK5,sF14)),X0)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1080])])). 83.49/12.25 tff(f269820,plain,( 83.49/12.25 spl19_897 <=> member(sK0(intersection(sK5,sF14)),sF12)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_897])])). 83.49/12.25 tff(f276252,plain,( 83.49/12.25 spl19_970 <=> empty_set = difference(sF10,sF18)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_970])])). 83.49/12.25 tff(f319668,plain,( 83.49/12.25 ( ! [X0 : set] : (~member(sK0(intersection(sK5,sF14)),X0) | member(sK0(intersection(sK5,sF14)),sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_897 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f269821,f285860])). 83.49/12.25 tff(f285860,plain,( 83.49/12.25 ( ! [X0 : element,X1 : set] : (~member(X0,sF12) | ~member(X0,X1) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f285841,f61])). 83.49/12.25 tff(f285841,plain,( 83.49/12.25 ( ! [X0 : set,X1 : element] : (~member(X1,difference(X0,sK2)) | ~member(X1,sF12)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(subsumption_resolution,[],[f285830,f162])). 83.49/12.25 tff(f285830,plain,( 83.49/12.25 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,difference(X0,sK2)) | ~member(X1,sF12)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(superposition,[],[f46,f285805])). 83.49/12.25 tff(f285805,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = intersection(sF12,difference(X0,sK2))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(duplicate_literal_removal,[],[f285796])). 83.49/12.25 tff(f285796,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = intersection(sF12,difference(X0,sK2)) | empty_set = intersection(sF12,difference(X0,sK2))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f278689,f4902])). 83.49/12.25 tff(f278689,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF12,X0)),sK2) | empty_set = intersection(sF12,X0)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f278657,f272])). 83.49/12.25 tff(f278657,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF12,X0)),sF18) | empty_set = intersection(sF12,X0)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(subsumption_resolution,[],[f278643,f276271])). 83.49/12.25 tff(f276271,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF10) | member(X0,sF18)) ) | ~spl19_970), 83.49/12.25 inference(subsumption_resolution,[],[f276262,f162])). 83.49/12.25 tff(f276262,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF10) | member(X0,sF18) | member(X0,empty_set)) ) | ~spl19_970), 83.49/12.25 inference(superposition,[],[f61,f276253])). 83.49/12.25 tff(f276253,plain,( 83.49/12.25 empty_set = difference(sF10,sF18) | ~spl19_970), 83.49/12.25 inference(avatar_component_clause,[],[f276252])). 83.49/12.25 tff(f278643,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF12,X0)),sF18) | empty_set = intersection(sF12,X0) | member(sK0(intersection(sF12,X0)),sF10)) ) | (~spl19_15 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f270092,f238])). 83.49/12.25 tff(f270092,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF12,X0)),sF11) | member(sK0(intersection(sF12,X0)),sF10) | empty_set = intersection(sF12,X0)) ) | ~spl19_15), 83.49/12.25 inference(resolution,[],[f350,f233])). 83.49/12.25 tff(f269821,plain,( 83.49/12.25 member(sK0(intersection(sK5,sF14)),sF12) | ~spl19_897), 83.49/12.25 inference(avatar_component_clause,[],[f269820])). 83.49/12.25 tff(f320118,plain,( 83.49/12.25 ~spl19_1078 | ~spl19_1022 | spl19_1072), 83.49/12.25 inference(avatar_split_clause,[],[f320050,f319565,f304364,f320102])). 83.49/12.25 tff(f320102,plain,( 83.49/12.25 spl19_1078 <=> $less(cardinality(sF12),-1)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1078])])). 83.49/12.25 tff(f320050,plain,( 83.49/12.25 ~$less(cardinality(sF12),-1) | (~spl19_1022 | spl19_1072)), 83.49/12.25 inference(subsumption_resolution,[],[f319679,f319566])). 83.49/12.25 tff(f319679,plain,( 83.49/12.25 ~$less(cardinality(sF12),-1) | $less(sF15,0) | ~spl19_1022), 83.49/12.25 inference(superposition,[],[f588,f304365])). 83.49/12.25 tff(f588,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less($sum(1,X0),0) | ~$less(X0,-1)) )), 83.49/12.25 inference(resolution,[],[f227,f229])). 83.49/12.25 tff(f227,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less(-1,X0) | $less(X0,0)) )), 83.49/12.25 inference(evaluation,[],[f226])). 83.49/12.25 tff(f226,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less($uminus(1),X0) | $less(X0,0)) )), 83.49/12.25 inference(superposition,[],[f24,f161])). 83.49/12.25 tff(f320116,plain,( 83.49/12.25 ~spl19_1079 | ~spl19_1022 | ~spl19_1055), 83.49/12.25 inference(avatar_split_clause,[],[f320045,f316903,f304364,f320114])). 83.49/12.25 tff(f320114,plain,( 83.49/12.25 spl19_1079 <=> $less(cardinality(sF12),1)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1079])])). 83.49/12.25 tff(f320045,plain,( 83.49/12.25 ~$less(cardinality(sF12),1) | (~spl19_1022 | ~spl19_1055)), 83.49/12.25 inference(subsumption_resolution,[],[f319737,f316904])). 83.49/12.25 tff(f319737,plain,( 83.49/12.25 ~$less(cardinality(sF12),1) | ~$less(1,sF15) | ~spl19_1022), 83.49/12.25 inference(superposition,[],[f4311,f304365])). 83.49/12.25 tff(f4311,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X1,X0)) | ~$less(X0,1)) )), 83.49/12.25 inference(resolution,[],[f301,f229])). 83.49/12.25 tff(f320112,plain,( 83.49/12.25 spl19_1038 | spl19_1039 | ~spl19_15 | ~spl19_18 | ~spl19_897 | ~spl19_970), 83.49/12.25 inference(avatar_split_clause,[],[f319666,f276252,f269820,f158,f146,f311407,f311404])). 83.49/12.25 tff(f311404,plain,( 83.49/12.25 spl19_1038 <=> member(sK0(intersection(sK5,sF14)),sF11)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1038])])). 83.49/12.25 tff(f319666,plain,( 83.49/12.25 member(sK0(intersection(sK5,sF14)),sF11) | member(sK0(intersection(sK5,sF14)),sK5) | (~spl19_15 | ~spl19_18 | ~spl19_897 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f269821,f311316])). 83.49/12.25 tff(f311316,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF12) | member(X0,sK5) | member(X0,sF11)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f303892,f198])). 83.49/12.25 tff(f198,plain,( 83.49/12.25 ( ! [X1 : element] : (member(X1,singleton(X1))) )), 83.49/12.25 inference(gaussian_variable_elimination,[],[f51])). 83.49/12.25 tff(f51,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (X0 != X1 | member(X1,singleton(X0))) )), 83.49/12.25 inference(cnf_transformation,[],[f31])). 83.49/12.25 tff(f303892,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X0,sF11) | member(X0,sK5) | ~member(X1,sF12)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(subsumption_resolution,[],[f303879,f162])). 83.49/12.25 tff(f303879,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,sF12) | member(X0,sK5) | member(X1,empty_set) | member(X0,sF11) | ~member(X1,singleton(X0))) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(superposition,[],[f46,f288916])). 83.49/12.25 tff(f288916,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(sF12,singleton(X0)) | member(X0,sF11) | member(X0,sK5)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(duplicate_literal_removal,[],[f288905])). 83.49/12.25 tff(f288905,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sF11) | empty_set = intersection(sF12,singleton(X0)) | member(X0,sK5) | empty_set = intersection(sF12,singleton(X0))) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(superposition,[],[f278688,f4898])). 83.49/12.25 tff(f278688,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF12,X0)),sF11) | member(sK0(intersection(sF12,X0)),sK5) | empty_set = intersection(sF12,X0)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f278657,f351])). 83.49/12.25 tff(f351,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF18) | member(X0,sF11) | member(X0,sK5)) ) | ~spl19_18), 83.49/12.25 inference(superposition,[],[f55,f159])). 83.49/12.25 tff(f320104,plain,( 83.49/12.25 ~spl19_1078 | ~spl19_1022 | spl19_1056), 83.49/12.25 inference(avatar_split_clause,[],[f320032,f316907,f304364,f320102])). 83.49/12.25 tff(f320032,plain,( 83.49/12.25 ~$less(cardinality(sF12),-1) | (~spl19_1022 | spl19_1056)), 83.49/12.25 inference(subsumption_resolution,[],[f319692,f316908])). 83.49/12.25 tff(f319692,plain,( 83.49/12.25 $less(sF15,1) | ~$less(cardinality(sF12),-1) | ~spl19_1022), 83.49/12.25 inference(superposition,[],[f7480,f304365])). 83.49/12.25 tff(f7480,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less($sum(1,X0),1) | ~$less(X0,-1)) )), 83.49/12.25 inference(resolution,[],[f7398,f229])). 83.49/12.25 tff(f7398,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less(-1,X0) | $less(X0,1)) )), 83.49/12.25 inference(resolution,[],[f5109,f730])). 83.49/12.25 tff(f730,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($less($sum(-1,X0),X1) | $less(X1,X0)) )), 83.49/12.25 inference(evaluation,[],[f725])). 83.49/12.25 tff(f725,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less($sum($uminus(1),X0),X1)) )), 83.49/12.25 inference(superposition,[],[f224,f340])). 83.49/12.25 tff(f320100,plain,( 83.49/12.25 spl19_944 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_897 | ~spl19_970), 83.49/12.25 inference(avatar_split_clause,[],[f319667,f276252,f269820,f158,f146,f114,f273223])). 83.49/12.25 tff(f319667,plain,( 83.49/12.25 member(sK0(intersection(sK5,sF14)),sK2) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_897 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f269821,f285966])). 83.49/12.25 tff(f285966,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sF12) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f285916,f198])). 83.49/12.25 tff(f285916,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | ~member(X1,sF12) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(subsumption_resolution,[],[f285905,f162])). 83.49/12.25 tff(f285905,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,sF12) | ~member(X1,singleton(X0)) | member(X1,empty_set) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(superposition,[],[f46,f285808])). 83.49/12.25 tff(f285808,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(sF12,singleton(X0)) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(duplicate_literal_removal,[],[f285797])). 83.49/12.25 tff(f285797,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(sF12,singleton(X0)) | empty_set = intersection(sF12,singleton(X0)) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(superposition,[],[f278689,f4898])). 83.49/12.25 tff(f319665,plain,( 83.49/12.25 spl19_1077 | spl19_947 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_894 | ~spl19_970), 83.49/12.25 inference(avatar_split_clause,[],[f319656,f276252,f269793,f158,f146,f114,f273545,f319663])). 83.49/12.25 tff(f319663,plain,( 83.49/12.25 spl19_1077 <=> ! [X0 : set] : ~member(sK0(intersection(sF14,sK5)),X0)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1077])])). 83.49/12.25 tff(f269793,plain,( 83.49/12.25 spl19_894 <=> member(sK0(intersection(sF14,sK5)),sF12)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_894])])). 83.49/12.25 tff(f319656,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF14,sK5)),sK2) | ~member(sK0(intersection(sF14,sK5)),X0)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_894 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f269794,f285860])). 83.49/12.25 tff(f269794,plain,( 83.49/12.25 member(sK0(intersection(sF14,sK5)),sF12) | ~spl19_894), 83.49/12.25 inference(avatar_component_clause,[],[f269793])). 83.49/12.25 tff(f319661,plain,( 83.49/12.25 spl19_1043 | spl19_1042 | ~spl19_15 | ~spl19_18 | ~spl19_894 | ~spl19_970), 83.49/12.25 inference(avatar_split_clause,[],[f319654,f276252,f269793,f158,f146,f311570,f311573])). 83.49/12.25 tff(f311570,plain,( 83.49/12.25 spl19_1042 <=> member(sK0(intersection(sF14,sK5)),sF11)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1042])])). 83.49/12.25 tff(f319654,plain,( 83.49/12.25 member(sK0(intersection(sF14,sK5)),sK5) | member(sK0(intersection(sF14,sK5)),sF11) | (~spl19_15 | ~spl19_18 | ~spl19_894 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f269794,f311316])). 83.49/12.25 tff(f319660,plain,( 83.49/12.25 spl19_947 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_894 | ~spl19_970), 83.49/12.25 inference(avatar_split_clause,[],[f319655,f276252,f269793,f158,f146,f114,f273545])). 83.49/12.25 tff(f319655,plain,( 83.49/12.25 member(sK0(intersection(sF14,sK5)),sK2) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_894 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f269794,f285966])). 83.49/12.25 tff(f319653,plain,( 83.49/12.25 spl19_1075 | spl19_1076 | ~spl19_8 | ~spl19_14 | ~spl19_26), 83.49/12.25 inference(avatar_split_clause,[],[f285792,f264,f142,f118,f319651,f319648])). 83.49/12.25 tff(f319648,plain,( 83.49/12.25 spl19_1075 <=> empty_set = union(sF8,sF10)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1075])])). 83.49/12.25 tff(f319651,plain,( 83.49/12.25 spl19_1076 <=> sK1 = sK0(union(sF8,sF10))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1076])])). 83.49/12.25 tff(f285792,plain,( 83.49/12.25 sK1 = sK0(union(sF8,sF10)) | empty_set = union(sF8,sF10) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.49/12.25 inference(duplicate_literal_removal,[],[f285756])). 83.49/12.25 tff(f285756,plain,( 83.49/12.25 sK1 = sK0(union(sF8,sF10)) | empty_set = union(sF8,sF10) | sK1 = sK0(union(sF8,sF10)) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f278629,f204])). 83.49/12.25 tff(f319646,plain,( 83.49/12.25 ~spl19_23 | spl19_1051), 83.49/12.25 inference(avatar_contradiction_clause,[],[f319645])). 83.49/12.25 tff(f319645,plain,( 83.49/12.25 $false | (~spl19_23 | spl19_1051)), 83.49/12.25 inference(subsumption_resolution,[],[f319644,f209])). 83.49/12.25 tff(f319644,plain,( 83.49/12.25 ~member(sK1,sF8) | spl19_1051), 83.49/12.25 inference(subsumption_resolution,[],[f319643,f162])). 83.49/12.25 tff(f319643,plain,( 83.49/12.25 member(sK1,empty_set) | ~member(sK1,sF8) | spl19_1051), 83.49/12.25 inference(resolution,[],[f314154,f61])). 83.49/12.25 tff(f314154,plain,( 83.49/12.25 ~member(sK1,difference(sF8,empty_set)) | spl19_1051), 83.49/12.25 inference(avatar_component_clause,[],[f314153])). 83.49/12.25 tff(f314153,plain,( 83.49/12.25 spl19_1051 <=> member(sK1,difference(sF8,empty_set))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1051])])). 83.49/12.25 tff(f319637,plain,( 83.49/12.25 spl19_1074 | ~spl19_1071), 83.49/12.25 inference(avatar_split_clause,[],[f319556,f319552,f319635])). 83.49/12.25 tff(f319552,plain,( 83.49/12.25 spl19_1071 <=> $less(-1,sF15)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1071])])). 83.49/12.25 tff(f319556,plain,( 83.49/12.25 $less(-2,sF15) | ~spl19_1071), 83.49/12.25 inference(resolution,[],[f319553,f48034])). 83.49/12.25 tff(f319553,plain,( 83.49/12.25 $less(-1,sF15) | ~spl19_1071), 83.49/12.25 inference(avatar_component_clause,[],[f319552])). 83.49/12.25 tff(f319633,plain,( 83.49/12.25 spl19_1010 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26 | spl19_147), 83.49/12.25 inference(avatar_split_clause,[],[f319629,f52209,f264,f158,f142,f138,f126,f106,f298784])). 83.49/12.25 tff(f319629,plain,( 83.49/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF13,sF10)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26 | spl19_147)), 83.49/12.25 inference(subsumption_resolution,[],[f319617,f84082])). 83.49/12.25 tff(f319617,plain,( 83.49/12.25 member(sK7,sF18) | $sum(1,cardinality(sF10)) = cardinality(union(sF13,sF10)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.49/12.25 inference(superposition,[],[f277968,f127])). 83.49/12.25 tff(f319616,plain,( 83.49/12.25 spl19_1073 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_20 | ~spl19_26 | spl19_147), 83.49/12.25 inference(avatar_split_clause,[],[f319608,f52209,f264,f181,f158,f142,f138,f126,f106,f319614])). 83.49/12.25 tff(f319608,plain,( 83.49/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF10,sF13)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_20 | ~spl19_26 | spl19_147)), 83.49/12.25 inference(subsumption_resolution,[],[f319600,f84082])). 83.49/12.25 tff(f319600,plain,( 83.49/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF10,sF13)) | member(sK7,sF18) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_20 | ~spl19_26)), 83.49/12.25 inference(superposition,[],[f277081,f127])). 83.49/12.25 tff(f319599,plain,( 83.49/12.25 spl19_1027 | spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_970 | ~spl19_1022), 83.49/12.25 inference(avatar_split_clause,[],[f319593,f304364,f276252,f158,f146,f126,f114,f90,f304916])). 83.49/12.25 tff(f304916,plain,( 83.49/12.25 spl19_1027 <=> sF15 = cardinality(union(sF13,sF12))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1027])])). 83.49/12.25 tff(f319593,plain,( 83.49/12.25 sF15 = cardinality(union(sF13,sF12)) | (spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_970 | ~spl19_1022)), 83.49/12.25 inference(subsumption_resolution,[],[f319583,f91])). 83.49/12.25 tff(f319583,plain,( 83.49/12.25 sF15 = cardinality(union(sF13,sF12)) | member(sK7,sK2) | (~spl19_7 | ~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_970 | ~spl19_1022)), 83.49/12.25 inference(superposition,[],[f310390,f127])). 83.49/12.25 tff(f310390,plain,( 83.49/12.25 ( ! [X0 : element] : (sF15 = cardinality(union(singleton(X0),sF12)) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970 | ~spl19_1022)), 83.49/12.25 inference(forward_demodulation,[],[f289106,f304365])). 83.49/12.25 tff(f289106,plain,( 83.49/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF12)) = cardinality(union(singleton(X0),sF12)) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(trivial_inequality_removal,[],[f289095])). 83.49/12.25 tff(f289095,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set != empty_set | member(X0,sK2) | $sum(1,cardinality(sF12)) = cardinality(union(singleton(X0),sF12))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(superposition,[],[f404,f288016])). 83.49/12.25 tff(f288016,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF12) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(duplicate_literal_removal,[],[f288009])). 83.49/12.25 tff(f288009,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF12) | member(X0,sK2) | empty_set = intersection(singleton(X0),sF12)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(superposition,[],[f278938,f4842])). 83.49/12.25 tff(f278938,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF12)),sK2) | empty_set = intersection(X0,sF12)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f278818,f272])). 83.49/12.25 tff(f278818,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF12)),sF18) | empty_set = intersection(X0,sF12)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(subsumption_resolution,[],[f278804,f276271])). 83.49/12.25 tff(f278804,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF12)),sF18) | empty_set = intersection(X0,sF12) | member(sK0(intersection(X0,sF12)),sF10)) ) | (~spl19_15 | ~spl19_18)), 83.49/12.25 inference(resolution,[],[f270103,f238])). 83.49/12.25 tff(f319582,plain,( 83.49/12.25 spl19_11 | spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_15 | ~spl19_16 | ~spl19_18 | ~spl19_20 | ~spl19_970 | ~spl19_1022), 83.49/12.25 inference(avatar_split_clause,[],[f319579,f304364,f276252,f181,f158,f150,f146,f126,f114,f90,f130])). 83.49/12.25 tff(f319579,plain,( 83.49/12.25 cardinality(sF14) = sF15 | (spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_15 | ~spl19_16 | ~spl19_18 | ~spl19_20 | ~spl19_970 | ~spl19_1022)), 83.49/12.25 inference(forward_demodulation,[],[f319578,f151])). 83.49/12.25 tff(f319578,plain,( 83.49/12.25 sF15 = cardinality(union(sF12,sF13)) | (spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_970 | ~spl19_1022)), 83.49/12.25 inference(subsumption_resolution,[],[f319568,f91])). 83.49/12.25 tff(f319568,plain,( 83.49/12.25 sF15 = cardinality(union(sF12,sF13)) | member(sK7,sK2) | (~spl19_7 | ~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_970 | ~spl19_1022)), 83.49/12.25 inference(superposition,[],[f310377,f127])). 83.49/12.25 tff(f310377,plain,( 83.49/12.25 ( ! [X0 : element] : (sF15 = cardinality(union(sF12,singleton(X0))) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_970 | ~spl19_1022)), 83.49/12.25 inference(forward_demodulation,[],[f285919,f304365])). 83.49/12.25 tff(f285919,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK2) | cardinality(union(sF12,singleton(X0))) = $sum(1,cardinality(sF12))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_970)), 83.49/12.25 inference(forward_demodulation,[],[f285918,f15])). 83.49/12.25 tff(f285918,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(union(sF12,singleton(X0))) = $sum(cardinality(sF12),1) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_970)), 83.49/12.25 inference(forward_demodulation,[],[f285915,f6730])). 83.49/12.25 tff(f285915,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,sK2) | cardinality(union(sF12,singleton(X0))) = $sum(cardinality(sF12),cardinality(singleton(X0)))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(trivial_inequality_removal,[],[f285908])). 83.49/12.25 tff(f285908,plain,( 83.49/12.25 ( ! [X0 : element] : (empty_set != empty_set | member(X0,sK2) | cardinality(union(sF12,singleton(X0))) = $sum(cardinality(sF12),cardinality(singleton(X0)))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(superposition,[],[f73,f285808])). 83.49/12.25 tff(f319567,plain,( 83.49/12.25 ~spl19_1072 | ~spl19_1071), 83.49/12.25 inference(avatar_split_clause,[],[f319558,f319552,f319565])). 83.49/12.25 tff(f319558,plain,( 83.49/12.25 ~$less(sF15,0) | ~spl19_1071), 83.49/12.25 inference(resolution,[],[f319553,f232])). 83.49/12.25 tff(f319555,plain,( 83.49/12.25 spl19_1071 | ~spl19_1057), 83.49/12.25 inference(avatar_split_clause,[],[f319538,f316911,f319552])). 83.49/12.25 tff(f316911,plain,( 83.49/12.25 spl19_1057 <=> $less(0,sF15)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1057])])). 83.49/12.25 tff(f319538,plain,( 83.49/12.25 $less(-1,sF15) | ~spl19_1057), 83.49/12.25 inference(resolution,[],[f316912,f7446])). 83.49/12.25 tff(f316912,plain,( 83.49/12.25 $less(0,sF15) | ~spl19_1057), 83.49/12.25 inference(avatar_component_clause,[],[f316911])). 83.49/12.25 tff(f319554,plain,( 83.49/12.25 spl19_1071 | ~spl19_1055), 83.49/12.25 inference(avatar_split_clause,[],[f319534,f316903,f319552])). 83.49/12.25 tff(f319534,plain,( 83.49/12.25 $less(-1,sF15) | ~spl19_1055), 83.49/12.25 inference(evaluation,[],[f319531])). 83.49/12.25 tff(f319531,plain,( 83.49/12.25 $less(-1,sF15) | $less(1,0) | ~spl19_1055), 83.49/12.25 inference(resolution,[],[f316904,f5158])). 83.49/12.25 tff(f319550,plain,( 83.49/12.25 ~spl19_1070 | ~spl19_1055), 83.49/12.25 inference(avatar_split_clause,[],[f319528,f316903,f319548])). 83.49/12.25 tff(f319548,plain,( 83.49/12.25 spl19_1070 <=> $less(sF15,-1)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1070])])). 83.49/12.25 tff(f319528,plain,( 83.49/12.25 ~$less(sF15,-1) | ~spl19_1055), 83.49/12.25 inference(resolution,[],[f316904,f44604])). 83.49/12.25 tff(f44604,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less(1,X0) | ~$less(X0,-1)) )), 83.49/12.25 inference(resolution,[],[f44362,f12828])). 83.49/12.25 tff(f12828,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less(-1,$uminus(X0)) | ~$less(1,X0)) )), 83.49/12.25 inference(resolution,[],[f1028,f3359])). 83.49/12.25 tff(f3359,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less($sum(X0,1),0) | ~$less(-1,X0)) )), 83.49/12.25 inference(resolution,[],[f257,f232])). 83.49/12.25 tff(f257,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($less(X0,$sum(X1,1)) | ~$less(X0,X1)) )), 83.49/12.25 inference(resolution,[],[f21,f223])). 83.49/12.25 tff(f1028,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($less($sum($uminus(X1),X0),0) | ~$less(X0,X1)) )), 83.49/12.25 inference(superposition,[],[f308,f15])). 83.49/12.25 tff(f44362,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less(-1,$uminus(X0)) | ~$less(X0,-1)) )), 83.49/12.25 inference(resolution,[],[f44230,f16876])). 83.49/12.25 tff(f16876,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less(1,X0) | $less(-1,X0)) )), 83.49/12.25 inference(evaluation,[],[f16815])). 83.49/12.25 tff(f16815,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less(1,X0) | $less(-1,$sum(X0,0))) )), 83.49/12.25 inference(resolution,[],[f7391,f7446])). 83.49/12.25 tff(f7391,plain,( 83.49/12.25 ( ! [X0 : $int,X1 : $int] : ($less(X0,$sum(X1,X0)) | ~$less(1,X1)) )), 83.49/12.25 inference(resolution,[],[f5109,f301])). 83.49/12.25 tff(f44230,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less(1,$uminus(X0)) | ~$less(X0,-1)) )), 83.49/12.25 inference(superposition,[],[f44058,f25])). 83.49/12.25 tff(f44058,plain,( 83.49/12.25 ( ! [X0 : $int] : (~$less($uminus(X0),-1) | $less(1,X0)) )), 83.49/12.25 inference(evaluation,[],[f43893])). 83.49/12.25 tff(f43893,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less(1,$sum(0,X0)) | ~$less($uminus(X0),-1)) )), 83.49/12.25 inference(resolution,[],[f4318,f587])). 83.49/12.25 tff(f587,plain,( 83.49/12.25 ( ! [X0 : $int] : ($less($sum(X0,1),0) | ~$less(X0,-1)) )), 83.49/12.25 inference(resolution,[],[f227,f26])). 83.49/12.25 tff(f4318,plain,( 83.49/12.25 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less($sum($uminus(X0),X1),X2) | $less(X1,$sum(X2,X0))) )), 83.49/12.25 inference(superposition,[],[f301,f340])). 83.49/12.25 tff(f319546,plain,( 83.49/12.25 spl19_1033 | spl19_1069 | ~spl19_8 | ~spl19_14 | ~spl19_26), 83.49/12.25 inference(avatar_split_clause,[],[f285678,f264,f142,f118,f319544,f310216])). 83.49/12.25 tff(f310216,plain,( 83.49/12.25 spl19_1033 <=> empty_set = union(empty_set,sF10)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1033])])). 83.49/12.25 tff(f319544,plain,( 83.49/12.25 spl19_1069 <=> sK1 = sK0(union(empty_set,sF10))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1069])])). 83.49/12.25 tff(f285678,plain,( 83.49/12.25 sK1 = sK0(union(empty_set,sF10)) | empty_set = union(empty_set,sF10) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.49/12.25 inference(resolution,[],[f278629,f162])). 83.49/12.25 tff(f319494,plain,( 83.49/12.25 spl19_898 | spl19_4 | ~spl19_1062), 83.49/12.25 inference(avatar_split_clause,[],[f319270,f317539,f102,f269823])). 83.49/12.25 tff(f269823,plain,( 83.49/12.25 spl19_898 <=> empty_set = intersection(sK5,sF14)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_898])])). 83.49/12.25 tff(f317539,plain,( 83.49/12.25 spl19_1062 <=> sK6 = sK0(intersection(sK5,sF14))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1062])])). 83.49/12.25 tff(f319270,plain,( 83.49/12.25 empty_set = intersection(sK5,sF14) | (spl19_4 | ~spl19_1062)), 83.49/12.25 inference(subsumption_resolution,[],[f319268,f103])). 83.49/12.25 tff(f319268,plain,( 83.49/12.25 member(sK6,sK5) | empty_set = intersection(sK5,sF14) | ~spl19_1062), 83.49/12.25 inference(superposition,[],[f233,f317540])). 83.49/12.25 tff(f317540,plain,( 83.49/12.25 sK6 = sK0(intersection(sK5,sF14)) | ~spl19_1062), 83.49/12.25 inference(avatar_component_clause,[],[f317539])). 83.49/12.25 tff(f318966,plain,( 83.49/12.25 spl19_53 | ~spl19_9 | ~spl19_902 | ~spl19_1042), 83.49/12.25 inference(avatar_split_clause,[],[f317842,f311570,f270207,f122,f567])). 83.49/12.25 tff(f567,plain,( 83.49/12.25 spl19_53 <=> member(sK6,sF14)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_53])])). 83.49/12.25 tff(f270207,plain,( 83.49/12.25 spl19_902 <=> member(sK0(intersection(sF14,sK5)),sF14)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_902])])). 83.49/12.25 tff(f317842,plain,( 83.49/12.25 member(sK6,sF14) | (~spl19_9 | ~spl19_902 | ~spl19_1042)), 83.49/12.25 inference(backward_demodulation,[],[f270208,f316846])). 83.49/12.25 tff(f316846,plain,( 83.49/12.25 sK6 = sK0(intersection(sF14,sK5)) | (~spl19_9 | ~spl19_1042)), 83.49/12.25 inference(resolution,[],[f311571,f205])). 83.49/12.25 tff(f311571,plain,( 83.49/12.25 member(sK0(intersection(sF14,sK5)),sF11) | ~spl19_1042), 83.49/12.25 inference(avatar_component_clause,[],[f311570])). 83.49/12.25 tff(f270208,plain,( 83.49/12.25 member(sK0(intersection(sF14,sK5)),sF14) | ~spl19_902), 83.49/12.25 inference(avatar_component_clause,[],[f270207])). 83.49/12.25 tff(f317851,plain,( 83.49/12.25 ~spl19_1068 | ~spl19_141 | ~spl19_1042), 83.49/12.25 inference(avatar_split_clause,[],[f316847,f311570,f51939,f317849])). 83.49/12.25 tff(f317849,plain,( 83.49/12.25 spl19_1068 <=> member(sK0(intersection(sF14,sK5)),sF9)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1068])])). 83.49/12.25 tff(f316847,plain,( 83.49/12.25 ~member(sK0(intersection(sF14,sK5)),sF9) | (~spl19_141 | ~spl19_1042)), 83.49/12.25 inference(resolution,[],[f311571,f51950])). 83.49/12.25 tff(f317847,plain,( 83.49/12.25 spl19_1067 | ~spl19_9 | ~spl19_1042), 83.49/12.25 inference(avatar_split_clause,[],[f316846,f311570,f122,f317845])). 83.49/12.25 tff(f317845,plain,( 83.49/12.25 spl19_1067 <=> sK6 = sK0(intersection(sF14,sK5))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1067])])). 83.49/12.25 tff(f317837,plain,( 83.49/12.25 ~spl19_1066 | ~spl19_958 | ~spl19_1042), 83.49/12.25 inference(avatar_split_clause,[],[f316844,f311570,f275360,f317835])). 83.49/12.25 tff(f317835,plain,( 83.49/12.25 spl19_1066 <=> member(sK0(intersection(sF14,sK5)),sK4)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1066])])). 83.49/12.25 tff(f316844,plain,( 83.49/12.25 ~member(sK0(intersection(sF14,sK5)),sK4) | (~spl19_958 | ~spl19_1042)), 83.49/12.25 inference(resolution,[],[f311571,f275404])). 83.49/12.25 tff(f317833,plain,( 83.49/12.25 ~spl19_1065 | ~spl19_141 | ~spl19_1038), 83.49/12.25 inference(avatar_split_clause,[],[f316837,f311404,f51939,f317831])). 83.49/12.25 tff(f317831,plain,( 83.49/12.25 spl19_1065 <=> member(sK0(intersection(sK5,sF14)),sF9)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1065])])). 83.49/12.25 tff(f316837,plain,( 83.49/12.25 ~member(sK0(intersection(sK5,sF14)),sF9) | (~spl19_141 | ~spl19_1038)), 83.49/12.25 inference(resolution,[],[f311405,f51950])). 83.49/12.25 tff(f311405,plain,( 83.49/12.25 member(sK0(intersection(sK5,sF14)),sF11) | ~spl19_1038), 83.49/12.25 inference(avatar_component_clause,[],[f311404])). 83.49/12.25 tff(f317764,plain,( 83.49/12.25 spl19_1064 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970), 83.49/12.25 inference(avatar_split_clause,[],[f317757,f276252,f158,f146,f114,f317762])). 83.49/12.25 tff(f317762,plain,( 83.49/12.25 spl19_1064 <=> empty_set = difference(complement(complement(sF12)),sK2)), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1064])])). 83.49/12.25 tff(f317757,plain,( 83.49/12.25 empty_set = difference(complement(complement(sF12)),sK2) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(duplicate_literal_removal,[],[f317746])). 83.49/12.25 tff(f317746,plain,( 83.49/12.25 empty_set = difference(complement(complement(sF12)),sK2) | empty_set = difference(complement(complement(sF12)),sK2) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f317455,f4993])). 83.49/12.25 tff(f317455,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(difference(X0,sK2)),complement(sF12)) | empty_set = difference(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f317453,f59])). 83.49/12.25 tff(f317453,plain,( 83.49/12.25 ( ! [X0 : set,X1 : element] : (~member(X1,difference(X0,sK2)) | member(X1,complement(sF12))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(subsumption_resolution,[],[f317440,f162])). 83.49/12.25 tff(f317440,plain,( 83.49/12.25 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,difference(X0,sK2)) | member(X1,complement(sF12))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(superposition,[],[f61,f317396])). 83.49/12.25 tff(f317396,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = difference(difference(X0,sK2),complement(sF12))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(duplicate_literal_removal,[],[f317388])). 83.49/12.25 tff(f317388,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = difference(difference(X0,sK2),complement(sF12)) | empty_set = difference(difference(X0,sK2),complement(sF12))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f286025,f4991])). 83.49/12.25 tff(f286025,plain,( 83.49/12.25 ( ! [X0 : set] : (member(sK0(difference(X0,complement(sF12))),sK2) | empty_set = difference(X0,complement(sF12))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f285966,f5059])). 83.49/12.25 tff(f317744,plain,( 83.49/12.25 spl19_1063 | spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_60 | ~spl19_177 | ~spl19_970), 83.49/12.25 inference(avatar_split_clause,[],[f317740,f276252,f53427,f1019,f264,f181,f158,f146,f126,f114,f90,f317742])). 83.49/12.25 tff(f317742,plain,( 83.49/12.25 spl19_1063 <=> member(sK7,complement(sF12))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1063])])). 83.49/12.25 tff(f53427,plain,( 83.49/12.25 spl19_177 <=> empty_set = complement(complement(sK3))), 83.49/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_177])])). 83.49/12.25 tff(f317740,plain,( 83.49/12.25 member(sK7,complement(sF12)) | (spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_60 | ~spl19_177 | ~spl19_970)), 83.49/12.25 inference(forward_demodulation,[],[f317739,f1020])). 83.49/12.25 tff(f317739,plain,( 83.49/12.25 member(sK0(sF13),complement(sF12)) | (spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_177 | ~spl19_970)), 83.49/12.25 inference(subsumption_resolution,[],[f317735,f91])). 83.49/12.25 tff(f317735,plain,( 83.49/12.25 member(sK7,sK2) | member(sK0(sF13),complement(sF12)) | (~spl19_7 | ~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_177 | ~spl19_970)), 83.49/12.25 inference(superposition,[],[f317587,f127])). 83.49/12.25 tff(f317587,plain,( 83.49/12.25 ( ! [X0 : element] : (member(sK0(singleton(X0)),complement(sF12)) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_177 | ~spl19_970)), 83.49/12.25 inference(subsumption_resolution,[],[f317560,f268950])). 83.49/12.25 tff(f268950,plain,( 83.49/12.25 ( ! [X0 : element] : (singleton(X0) != empty_set) ) | (~spl19_20 | ~spl19_26 | ~spl19_177)), 83.49/12.25 inference(evaluation,[],[f268949])). 83.49/12.25 tff(f268949,plain,( 83.49/12.25 ( ! [X0 : element] : (0 = 1 | singleton(X0) != empty_set) ) | (~spl19_20 | ~spl19_26 | ~spl19_177)), 83.49/12.25 inference(forward_demodulation,[],[f268948,f182])). 83.49/12.25 tff(f268948,plain,( 83.49/12.25 ( ! [X0 : element] : (singleton(X0) != empty_set | 1 = cardinality(empty_set)) ) | (~spl19_20 | ~spl19_26 | ~spl19_177)), 83.49/12.25 inference(forward_demodulation,[],[f268947,f6112])). 83.49/12.25 tff(f268947,plain,( 83.49/12.25 ( ! [X0 : element] : (cardinality(empty_set) = cardinality(union(singleton(X0),empty_set)) | singleton(X0) != empty_set) ) | (~spl19_26 | ~spl19_177)), 83.49/12.25 inference(forward_demodulation,[],[f53636,f265])). 83.49/12.25 tff(f53636,plain,( 83.49/12.25 ( ! [X0 : element] : (singleton(X0) != empty_set | cardinality(sK3) = cardinality(union(singleton(X0),sK3))) ) | ~spl19_177), 83.49/12.25 inference(superposition,[],[f42,f53616])). 83.49/12.25 tff(f53616,plain,( 83.49/12.25 ( ! [X0 : set] : (empty_set = intersection(X0,sK3)) ) | ~spl19_177), 83.49/12.25 inference(resolution,[],[f53609,f234])). 83.49/12.25 tff(f53609,plain,( 83.49/12.25 ( ! [X0 : element] : (~member(X0,sK3)) ) | ~spl19_177), 83.49/12.25 inference(resolution,[],[f53608,f58])). 83.49/12.25 tff(f53608,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,complement(sK3))) ) | ~spl19_177), 83.49/12.25 inference(subsumption_resolution,[],[f53607,f162])). 83.49/12.25 tff(f53607,plain,( 83.49/12.25 ( ! [X0 : element] : (member(X0,empty_set) | member(X0,complement(sK3))) ) | ~spl19_177), 83.49/12.25 inference(superposition,[],[f57,f53428])). 83.49/12.25 tff(f53428,plain,( 83.49/12.25 empty_set = complement(complement(sK3)) | ~spl19_177), 83.49/12.25 inference(avatar_component_clause,[],[f53427])). 83.49/12.25 tff(f317560,plain,( 83.49/12.25 ( ! [X0 : element] : (member(sK0(singleton(X0)),complement(sF12)) | member(X0,sK2) | singleton(X0) = empty_set) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(resolution,[],[f317527,f59])). 83.49/12.25 tff(f317527,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X0,sK2) | member(X1,complement(sF12))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(subsumption_resolution,[],[f317514,f162])). 83.49/12.25 tff(f317514,plain,( 83.49/12.25 ( ! [X0 : element,X1 : element] : (member(X0,sK2) | ~member(X1,singleton(X0)) | member(X1,empty_set) | member(X1,complement(sF12))) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.49/12.25 inference(superposition,[],[f61,f317399])). 83.94/12.25 tff(f317399,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = difference(singleton(X0),complement(sF12)) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f317393])). 83.94/12.25 tff(f317393,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = difference(singleton(X0),complement(sF12)) | empty_set = difference(singleton(X0),complement(sF12)) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(superposition,[],[f286025,f4987])). 83.94/12.25 tff(f317542,plain,( 83.94/12.25 spl19_53 | ~spl19_9 | ~spl19_901 | ~spl19_1038), 83.94/12.25 inference(avatar_split_clause,[],[f317536,f311404,f270164,f122,f567])). 83.94/12.25 tff(f270164,plain,( 83.94/12.25 spl19_901 <=> member(sK0(intersection(sK5,sF14)),sF14)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_901])])). 83.94/12.25 tff(f317536,plain,( 83.94/12.25 member(sK6,sF14) | (~spl19_9 | ~spl19_901 | ~spl19_1038)), 83.94/12.25 inference(backward_demodulation,[],[f270165,f316836])). 83.94/12.25 tff(f316836,plain,( 83.94/12.25 sK6 = sK0(intersection(sK5,sF14)) | (~spl19_9 | ~spl19_1038)), 83.94/12.25 inference(resolution,[],[f311405,f205])). 83.94/12.25 tff(f270165,plain,( 83.94/12.25 member(sK0(intersection(sK5,sF14)),sF14) | ~spl19_901), 83.94/12.25 inference(avatar_component_clause,[],[f270164])). 83.94/12.25 tff(f317541,plain,( 83.94/12.25 spl19_1062 | ~spl19_9 | ~spl19_1038), 83.94/12.25 inference(avatar_split_clause,[],[f316836,f311404,f122,f317539])). 83.94/12.25 tff(f317409,plain,( 83.94/12.25 spl19_1061 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f317398,f276252,f158,f146,f114,f317407])). 83.94/12.25 tff(f317407,plain,( 83.94/12.25 spl19_1061 <=> empty_set = difference(complement(sK2),complement(sF12))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1061])])). 83.94/12.25 tff(f317398,plain,( 83.94/12.25 empty_set = difference(complement(sK2),complement(sF12)) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f317387])). 83.94/12.25 tff(f317387,plain,( 83.94/12.25 empty_set = difference(complement(sK2),complement(sF12)) | empty_set = difference(complement(sK2),complement(sF12)) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f286025,f4993])). 83.94/12.25 tff(f317405,plain,( 83.94/12.25 ~spl19_1060 | ~spl19_958 | ~spl19_1038), 83.94/12.25 inference(avatar_split_clause,[],[f316834,f311404,f275360,f317403])). 83.94/12.25 tff(f317403,plain,( 83.94/12.25 spl19_1060 <=> member(sK0(intersection(sK5,sF14)),sK4)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1060])])). 83.94/12.25 tff(f316834,plain,( 83.94/12.25 ~member(sK0(intersection(sK5,sF14)),sK4) | (~spl19_958 | ~spl19_1038)), 83.94/12.25 inference(resolution,[],[f311405,f275404])). 83.94/12.25 tff(f316944,plain,( 83.94/12.25 spl19_1059 | spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | ~spl19_1022 | ~spl19_1027), 83.94/12.25 inference(avatar_split_clause,[],[f316895,f304916,f304364,f303760,f66743,f264,f181,f146,f142,f122,f102,f316942])). 83.94/12.25 tff(f316942,plain,( 83.94/12.25 spl19_1059 <=> 2 = cardinality(union(sF13,sF12))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1059])])). 83.94/12.25 tff(f303760,plain,( 83.94/12.25 spl19_1021 <=> 0 = cardinality(sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1021])])). 83.94/12.25 tff(f316895,plain,( 83.94/12.25 2 = cardinality(union(sF13,sF12)) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | ~spl19_1022 | ~spl19_1027)), 83.94/12.25 inference(backward_demodulation,[],[f304917,f316889])). 83.94/12.25 tff(f316889,plain,( 83.94/12.25 sF15 = 2 | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | ~spl19_1022)), 83.94/12.25 inference(evaluation,[],[f316872])). 83.94/12.25 tff(f316872,plain,( 83.94/12.25 sF15 = $sum(1,1) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | ~spl19_1022)), 83.94/12.25 inference(backward_demodulation,[],[f304365,f316861])). 83.94/12.25 tff(f316861,plain,( 83.94/12.25 1 = cardinality(sF12) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021)), 83.94/12.25 inference(forward_demodulation,[],[f316860,f147])). 83.94/12.25 tff(f316860,plain,( 83.94/12.25 1 = cardinality(union(sF10,sF11)) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021)), 83.94/12.25 inference(subsumption_resolution,[],[f316854,f103])). 83.94/12.25 tff(f316854,plain,( 83.94/12.25 1 = cardinality(union(sF10,sF11)) | member(sK6,sK5) | (~spl19_9 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021)), 83.94/12.25 inference(superposition,[],[f316843,f123])). 83.94/12.25 tff(f316843,plain,( 83.94/12.25 ( ! [X0 : element] : (1 = cardinality(union(sF10,singleton(X0))) | member(X0,sK5)) ) | (~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021)), 83.94/12.25 inference(evaluation,[],[f316842])). 83.94/12.25 tff(f316842,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,0) = cardinality(union(sF10,singleton(X0))) | member(X0,sK5)) ) | (~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021)), 83.94/12.25 inference(forward_demodulation,[],[f276156,f303761])). 83.94/12.25 tff(f303761,plain,( 83.94/12.25 0 = cardinality(sF10) | ~spl19_1021), 83.94/12.25 inference(avatar_component_clause,[],[f303760])). 83.94/12.25 tff(f304917,plain,( 83.94/12.25 sF15 = cardinality(union(sF13,sF12)) | ~spl19_1027), 83.94/12.25 inference(avatar_component_clause,[],[f304916])). 83.94/12.25 tff(f316920,plain,( 83.94/12.25 spl19_1058 | spl19_4 | ~spl19_9 | ~spl19_11 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | ~spl19_1022), 83.94/12.25 inference(avatar_split_clause,[],[f316890,f304364,f303760,f66743,f264,f181,f146,f142,f130,f122,f102,f316918])). 83.94/12.25 tff(f316918,plain,( 83.94/12.25 spl19_1058 <=> cardinality(sF14) = 2), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1058])])). 83.94/12.25 tff(f316890,plain,( 83.94/12.25 cardinality(sF14) = 2 | (spl19_4 | ~spl19_9 | ~spl19_11 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | ~spl19_1022)), 83.94/12.25 inference(backward_demodulation,[],[f131,f316889])). 83.94/12.25 tff(f316913,plain,( 83.94/12.25 spl19_1057 | spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | ~spl19_1036), 83.94/12.25 inference(avatar_split_clause,[],[f316886,f311132,f303760,f66743,f264,f181,f146,f142,f122,f102,f316911])). 83.94/12.25 tff(f311132,plain,( 83.94/12.25 spl19_1036 <=> $less($sum(-1,cardinality(sF12)),sF15)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1036])])). 83.94/12.25 tff(f316886,plain,( 83.94/12.25 $less(0,sF15) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | ~spl19_1036)), 83.94/12.25 inference(evaluation,[],[f316877])). 83.94/12.25 tff(f316877,plain,( 83.94/12.25 $less($sum(-1,1),sF15) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | ~spl19_1036)), 83.94/12.25 inference(backward_demodulation,[],[f311133,f316861])). 83.94/12.25 tff(f311133,plain,( 83.94/12.25 $less($sum(-1,cardinality(sF12)),sF15) | ~spl19_1036), 83.94/12.25 inference(avatar_component_clause,[],[f311132])). 83.94/12.25 tff(f316909,plain,( 83.94/12.25 ~spl19_1056 | spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | spl19_1026), 83.94/12.25 inference(avatar_split_clause,[],[f316874,f304873,f303760,f66743,f264,f181,f146,f142,f122,f102,f316907])). 83.94/12.25 tff(f304873,plain,( 83.94/12.25 spl19_1026 <=> $less(sF15,cardinality(sF12))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1026])])). 83.94/12.25 tff(f316874,plain,( 83.94/12.25 ~$less(sF15,1) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | spl19_1026)), 83.94/12.25 inference(backward_demodulation,[],[f304874,f316861])). 83.94/12.25 tff(f304874,plain,( 83.94/12.25 ~$less(sF15,cardinality(sF12)) | spl19_1026), 83.94/12.25 inference(avatar_component_clause,[],[f304873])). 83.94/12.25 tff(f316905,plain,( 83.94/12.25 spl19_1055 | spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | ~spl19_1025), 83.94/12.25 inference(avatar_split_clause,[],[f316873,f304854,f303760,f66743,f264,f181,f146,f142,f122,f102,f316903])). 83.94/12.25 tff(f304854,plain,( 83.94/12.25 spl19_1025 <=> $less(cardinality(sF12),sF15)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1025])])). 83.94/12.25 tff(f316873,plain,( 83.94/12.25 $less(1,sF15) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | ~spl19_1025)), 83.94/12.25 inference(backward_demodulation,[],[f304855,f316861])). 83.94/12.25 tff(f304855,plain,( 83.94/12.25 $less(cardinality(sF12),sF15) | ~spl19_1025), 83.94/12.25 inference(avatar_component_clause,[],[f304854])). 83.94/12.25 tff(f316901,plain,( 83.94/12.25 spl19_1054 | spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021 | ~spl19_1022), 83.94/12.25 inference(avatar_split_clause,[],[f316889,f304364,f303760,f66743,f264,f181,f146,f142,f122,f102,f316899])). 83.94/12.25 tff(f316899,plain,( 83.94/12.25 spl19_1054 <=> sF15 = 2), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1054])])). 83.94/12.25 tff(f316884,plain,( 83.94/12.25 spl19_1053 | spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_15 | ~spl19_20 | ~spl19_26 | ~spl19_353 | ~spl19_1021), 83.94/12.25 inference(avatar_split_clause,[],[f316861,f303760,f66743,f264,f181,f146,f142,f122,f102,f316882])). 83.94/12.25 tff(f316882,plain,( 83.94/12.25 spl19_1053 <=> 1 = cardinality(sF12)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1053])])). 83.94/12.25 tff(f315744,plain,( 83.94/12.25 ~spl19_1052 | spl19_1050 | ~spl19_8 | ~spl19_14 | ~spl19_26 | ~spl19_808), 83.94/12.25 inference(avatar_split_clause,[],[f314111,f224511,f264,f142,f118,f314149,f315742])). 83.94/12.25 tff(f314149,plain,( 83.94/12.25 spl19_1050 <=> empty_set = difference(sF10,empty_set)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1050])])). 83.94/12.25 tff(f224511,plain,( 83.94/12.25 spl19_808 <=> empty_set = union(intersection(sF12,complement(sF11)),empty_set)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_808])])). 83.94/12.25 tff(f314111,plain,( 83.94/12.25 ~member(sK1,intersection(sF12,complement(sF11))) | empty_set = difference(sF10,empty_set) | (~spl19_8 | ~spl19_14 | ~spl19_26 | ~spl19_808)), 83.94/12.25 inference(superposition,[],[f276924,f224512])). 83.94/12.25 tff(f224512,plain,( 83.94/12.25 empty_set = union(intersection(sF12,complement(sF11)),empty_set) | ~spl19_808), 83.94/12.25 inference(avatar_component_clause,[],[f224511])). 83.94/12.25 tff(f276924,plain,( 83.94/12.25 ( ! [X0 : set,X1 : set] : (empty_set = difference(sF10,union(X0,X1)) | ~member(sK1,X0)) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276911])). 83.94/12.25 tff(f276911,plain,( 83.94/12.25 ( ! [X0 : set,X1 : set] : (empty_set = difference(sF10,union(X0,X1)) | ~member(sK1,X0) | empty_set = difference(sF10,union(X0,X1))) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f5056,f276218])). 83.94/12.25 tff(f276218,plain,( 83.94/12.25 ( ! [X0 : set] : (sK1 = sK0(difference(sF10,X0)) | empty_set = difference(sF10,X0)) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f269325,f204])). 83.94/12.25 tff(f269325,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(difference(sF10,X0)),sF8) | empty_set = difference(sF10,X0)) ) | (~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f54817,f245])). 83.94/12.25 tff(f314155,plain,( 83.94/12.25 ~spl19_1051 | spl19_1050 | ~spl19_8 | ~spl19_14 | ~spl19_26 | ~spl19_862), 83.94/12.25 inference(avatar_split_clause,[],[f314112,f259381,f264,f142,f118,f314149,f314153])). 83.94/12.25 tff(f259381,plain,( 83.94/12.25 spl19_862 <=> empty_set = union(difference(sF8,empty_set),empty_set)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_862])])). 83.94/12.25 tff(f314112,plain,( 83.94/12.25 ~member(sK1,difference(sF8,empty_set)) | empty_set = difference(sF10,empty_set) | (~spl19_8 | ~spl19_14 | ~spl19_26 | ~spl19_862)), 83.94/12.25 inference(superposition,[],[f276924,f259382])). 83.94/12.25 tff(f259382,plain,( 83.94/12.25 empty_set = union(difference(sF8,empty_set),empty_set) | ~spl19_862), 83.94/12.25 inference(avatar_component_clause,[],[f259381])). 83.94/12.25 tff(f314151,plain,( 83.94/12.25 ~spl19_1049 | spl19_1050 | ~spl19_8 | ~spl19_14 | ~spl19_26 | ~spl19_587), 83.94/12.25 inference(avatar_split_clause,[],[f314113,f147602,f264,f142,f118,f314149,f314146])). 83.94/12.25 tff(f314146,plain,( 83.94/12.25 spl19_1049 <=> member(sK1,complement(complement(sF13)))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1049])])). 83.94/12.25 tff(f147602,plain,( 83.94/12.25 spl19_587 <=> empty_set = union(complement(complement(sF13)),empty_set)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_587])])). 83.94/12.25 tff(f314113,plain,( 83.94/12.25 empty_set = difference(sF10,empty_set) | ~member(sK1,complement(complement(sF13))) | (~spl19_8 | ~spl19_14 | ~spl19_26 | ~spl19_587)), 83.94/12.25 inference(superposition,[],[f276924,f147603])). 83.94/12.25 tff(f147603,plain,( 83.94/12.25 empty_set = union(complement(complement(sF13)),empty_set) | ~spl19_587), 83.94/12.25 inference(avatar_component_clause,[],[f147602])). 83.94/12.25 tff(f312878,plain,( 83.94/12.25 spl19_1048 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_20 | ~spl19_26 | spl19_147 | ~spl19_1021), 83.94/12.25 inference(avatar_split_clause,[],[f311767,f303760,f52209,f264,f181,f158,f142,f138,f126,f106,f312876])). 83.94/12.25 tff(f312876,plain,( 83.94/12.25 spl19_1048 <=> 1 = cardinality(union(sF10,sF13))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1048])])). 83.94/12.25 tff(f311767,plain,( 83.94/12.25 1 = cardinality(union(sF10,sF13)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_20 | ~spl19_26 | spl19_147 | ~spl19_1021)), 83.94/12.25 inference(subsumption_resolution,[],[f311757,f84082])). 83.94/12.25 tff(f311757,plain,( 83.94/12.25 1 = cardinality(union(sF10,sF13)) | member(sK7,sF18) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_1021)), 83.94/12.25 inference(superposition,[],[f311752,f127])). 83.94/12.25 tff(f311752,plain,( 83.94/12.25 ( ! [X0 : element] : (1 = cardinality(union(sF10,singleton(X0))) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_1021)), 83.94/12.25 inference(evaluation,[],[f311751])). 83.94/12.25 tff(f311751,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,0) = cardinality(union(sF10,singleton(X0))) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_1021)), 83.94/12.25 inference(forward_demodulation,[],[f277081,f303761])). 83.94/12.25 tff(f311756,plain,( 83.94/12.25 spl19_1047 | ~spl19_1022), 83.94/12.25 inference(avatar_split_clause,[],[f304794,f304364,f311754])). 83.94/12.25 tff(f311754,plain,( 83.94/12.25 spl19_1047 <=> sF15 = $sum(cardinality(sF12),1)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1047])])). 83.94/12.25 tff(f304794,plain,( 83.94/12.25 sF15 = $sum(cardinality(sF12),1) | ~spl19_1022), 83.94/12.25 inference(forward_demodulation,[],[f304563,f340])). 83.94/12.25 tff(f304563,plain,( 83.94/12.25 ( ! [X0 : $int] : ($sum(cardinality(sF12),1) = $sum(X0,$sum($uminus(X0),sF15))) ) | ~spl19_1022), 83.94/12.25 inference(superposition,[],[f5877,f304365])). 83.94/12.25 tff(f5877,plain,( 83.94/12.25 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X2,X1) = $sum(X0,$sum($uminus(X0),$sum(X1,X2)))) )), 83.94/12.25 inference(forward_demodulation,[],[f5582,f16])). 83.94/12.25 tff(f5582,plain,( 83.94/12.25 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X2,X1) = $sum(X0,$sum($sum($uminus(X0),X1),X2))) )), 83.94/12.25 inference(superposition,[],[f328,f340])). 83.94/12.25 tff(f311586,plain,( 83.94/12.25 spl19_1046 | ~spl19_1022), 83.94/12.25 inference(avatar_split_clause,[],[f304731,f304364,f311584])). 83.94/12.25 tff(f311584,plain,( 83.94/12.25 spl19_1046 <=> cardinality(sF12) = $sum(sF15,-1)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1046])])). 83.94/12.25 tff(f304731,plain,( 83.94/12.25 cardinality(sF12) = $sum(sF15,-1) | ~spl19_1022), 83.94/12.25 inference(evaluation,[],[f304683])). 83.94/12.25 tff(f304683,plain,( 83.94/12.25 cardinality(sF12) = $sum(sF15,$uminus(1)) | ~spl19_1022), 83.94/12.25 inference(superposition,[],[f12171,f304365])). 83.94/12.25 tff(f311582,plain,( 83.94/12.25 spl19_1044 | spl19_1045 | ~spl19_15 | ~spl19_18 | ~spl19_896 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f311349,f276252,f269816,f158,f146,f311580,f311577])). 83.94/12.25 tff(f311577,plain,( 83.94/12.25 spl19_1044 <=> member(sK0(intersection(sF14,sF9)),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1044])])). 83.94/12.25 tff(f311349,plain,( 83.94/12.25 member(sK0(intersection(sF14,sF9)),sF11) | member(sK0(intersection(sF14,sF9)),sK5) | (~spl19_15 | ~spl19_18 | ~spl19_896 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f311316,f269817])). 83.94/12.25 tff(f311575,plain,( 83.94/12.25 spl19_1042 | spl19_1043 | ~spl19_15 | ~spl19_18 | ~spl19_894 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f311348,f276252,f269793,f158,f146,f311573,f311570])). 83.94/12.25 tff(f311348,plain,( 83.94/12.25 member(sK0(intersection(sF14,sK5)),sF11) | member(sK0(intersection(sF14,sK5)),sK5) | (~spl19_15 | ~spl19_18 | ~spl19_894 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f311316,f269794])). 83.94/12.25 tff(f311416,plain,( 83.94/12.25 spl19_1040 | spl19_1041 | ~spl19_15 | ~spl19_18 | ~spl19_899 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f311347,f276252,f269827,f158,f146,f311414,f311411])). 83.94/12.25 tff(f311411,plain,( 83.94/12.25 spl19_1040 <=> member(sK0(intersection(sF9,sF14)),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1040])])). 83.94/12.25 tff(f311347,plain,( 83.94/12.25 member(sK0(intersection(sF9,sF14)),sK5) | member(sK0(intersection(sF9,sF14)),sF11) | (~spl19_15 | ~spl19_18 | ~spl19_899 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f311316,f269828])). 83.94/12.25 tff(f311409,plain,( 83.94/12.25 spl19_1038 | spl19_1039 | ~spl19_15 | ~spl19_18 | ~spl19_897 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f311346,f276252,f269820,f158,f146,f311407,f311404])). 83.94/12.25 tff(f311346,plain,( 83.94/12.25 member(sK0(intersection(sK5,sF14)),sK5) | member(sK0(intersection(sK5,sF14)),sF11) | (~spl19_15 | ~spl19_18 | ~spl19_897 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f311316,f269821])). 83.94/12.25 tff(f311394,plain,( 83.94/12.25 spl19_1037 | ~spl19_1022), 83.94/12.25 inference(avatar_split_clause,[],[f304709,f304364,f311392])). 83.94/12.25 tff(f311392,plain,( 83.94/12.25 spl19_1037 <=> cardinality(sF12) = $sum(-1,sF15)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1037])])). 83.94/12.25 tff(f304709,plain,( 83.94/12.25 cardinality(sF12) = $sum(-1,sF15) | ~spl19_1022), 83.94/12.25 inference(evaluation,[],[f304452])). 83.94/12.25 tff(f304452,plain,( 83.94/12.25 cardinality(sF12) = $sum($uminus(1),sF15) | ~spl19_1022), 83.94/12.25 inference(superposition,[],[f339,f304365])). 83.94/12.25 tff(f311134,plain,( 83.94/12.25 spl19_1036 | ~spl19_1022), 83.94/12.25 inference(avatar_split_clause,[],[f304430,f304364,f311132])). 83.94/12.25 tff(f304430,plain,( 83.94/12.25 $less($sum(-1,cardinality(sF12)),sF15) | ~spl19_1022), 83.94/12.25 inference(superposition,[],[f22537,f304365])). 83.94/12.25 tff(f22537,plain,( 83.94/12.25 ( ! [X0 : $int] : ($less($sum(-1,X0),$sum(1,X0))) )), 83.94/12.25 inference(superposition,[],[f21918,f15])). 83.94/12.25 tff(f21918,plain,( 83.94/12.25 ( ! [X0 : $int] : ($less($sum(-1,X0),$sum(X0,1))) )), 83.94/12.25 inference(resolution,[],[f861,f335])). 83.94/12.25 tff(f861,plain,( 83.94/12.25 ( ! [X0 : $int,X1 : $int] : (~$less(X0,$sum(-1,X1)) | $less(X0,X1)) )), 83.94/12.25 inference(resolution,[],[f729,f21])). 83.94/12.25 tff(f310376,plain,( 83.94/12.25 spl19_1035 | ~spl19_1022), 83.94/12.25 inference(avatar_split_clause,[],[f304426,f304364,f310374])). 83.94/12.25 tff(f310374,plain,( 83.94/12.25 spl19_1035 <=> $less($uminus(sF15),$uminus(cardinality(sF12)))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1035])])). 83.94/12.25 tff(f304426,plain,( 83.94/12.25 $less($uminus(sF15),$uminus(cardinality(sF12))) | ~spl19_1022), 83.94/12.25 inference(superposition,[],[f13083,f304365])). 83.94/12.25 tff(f13083,plain,( 83.94/12.25 ( ! [X0 : $int] : ($less($uminus($sum(1,X0)),$uminus(X0))) )), 83.94/12.25 inference(superposition,[],[f223,f1917])). 83.94/12.25 tff(f1917,plain,( 83.94/12.25 ( ! [X0 : $int,X1 : $int] : ($uminus(X1) = $sum($uminus($sum(X0,X1)),X0)) )), 83.94/12.25 inference(evaluation,[],[f1885])). 83.94/12.25 tff(f1885,plain,( 83.94/12.25 ( ! [X0 : $int,X1 : $int] : ($uminus(X1) = $sum($uminus($sum($uminus($uminus(X0)),X1)),X0)) )), 83.94/12.25 inference(superposition,[],[f281,f340])). 83.94/12.25 tff(f281,plain,( 83.94/12.25 ( ! [X0 : $int,X1 : $int] : ($uminus($sum($uminus(X0),X1)) = $sum($uminus(X1),X0)) )), 83.94/12.25 inference(superposition,[],[f18,f25])). 83.94/12.25 tff(f310232,plain,( 83.94/12.25 spl19_1034 | ~spl19_1022), 83.94/12.25 inference(avatar_split_clause,[],[f304424,f304364,f310230])). 83.94/12.25 tff(f304424,plain,( 83.94/12.25 $less(sF15,$sum(2,cardinality(sF12))) | ~spl19_1022), 83.94/12.25 inference(superposition,[],[f12815,f304365])). 83.94/12.25 tff(f310218,plain,( 83.94/12.25 spl19_1033 | ~spl19_1028), 83.94/12.25 inference(avatar_split_clause,[],[f309880,f304928,f310216])). 83.94/12.25 tff(f304928,plain,( 83.94/12.25 spl19_1028 <=> 0 = cardinality(union(empty_set,sF10))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1028])])). 83.94/12.25 tff(f309880,plain,( 83.94/12.25 empty_set = union(empty_set,sF10) | ~spl19_1028), 83.94/12.25 inference(trivial_inequality_removal,[],[f309875])). 83.94/12.25 tff(f309875,plain,( 83.94/12.25 0 != 0 | empty_set = union(empty_set,sF10) | ~spl19_1028), 83.94/12.25 inference(superposition,[],[f49,f304929])). 83.94/12.25 tff(f304929,plain,( 83.94/12.25 0 = cardinality(union(empty_set,sF10)) | ~spl19_1028), 83.94/12.25 inference(avatar_component_clause,[],[f304928])). 83.94/12.25 tff(f49,plain,( 83.94/12.25 ( ! [X0 : set] : (0 != cardinality(X0) | empty_set = X0) )), 83.94/12.25 inference(cnf_transformation,[],[f29])). 83.94/12.25 tff(f29,plain,( 83.94/12.25 ! [X0 : set] : (empty_set = X0 <=> 0 = cardinality(X0))), 83.94/12.25 inference(rectify,[],[f6])). 83.94/12.25 tff(f6,axiom,( 83.94/12.25 ! [X1 : set] : (empty_set = X1 <=> cardinality(X1) = 0)), 83.94/12.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 83.94/12.25 tff(f310213,plain,( 83.94/12.25 spl19_1031 | spl19_1032 | ~spl19_15 | ~spl19_18 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f289161,f276252,f158,f146,f310211,f310208])). 83.94/12.25 tff(f310208,plain,( 83.94/12.25 spl19_1031 <=> member(sK0(intersection(complement(sF11),sF12)),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1031])])). 83.94/12.25 tff(f310211,plain,( 83.94/12.25 spl19_1032 <=> empty_set = intersection(complement(sF11),sF12)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1032])])). 83.94/12.25 tff(f289161,plain,( 83.94/12.25 empty_set = intersection(complement(sF11),sF12) | member(sK0(intersection(complement(sF11),sF12)),sK5) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f289142])). 83.94/12.25 tff(f289142,plain,( 83.94/12.25 member(sK0(intersection(complement(sF11),sF12)),sK5) | empty_set = intersection(complement(sF11),sF12) | empty_set = intersection(complement(sF11),sF12) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f278937,f4848])). 83.94/12.25 tff(f278937,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF12)),sF11) | member(sK0(intersection(X0,sF12)),sK5) | empty_set = intersection(X0,sF12)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f278818,f351])). 83.94/12.25 tff(f310083,plain,( 83.94/12.25 spl19_1029 | spl19_1030 | ~spl19_15 | ~spl19_18 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f288912,f276252,f158,f146,f310081,f310078])). 83.94/12.25 tff(f310078,plain,( 83.94/12.25 spl19_1029 <=> empty_set = intersection(sF12,complement(sF11))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1029])])). 83.94/12.25 tff(f288912,plain,( 83.94/12.25 member(sK0(intersection(sF12,complement(sF11))),sK5) | empty_set = intersection(sF12,complement(sF11)) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f288897])). 83.94/12.25 tff(f288897,plain,( 83.94/12.25 empty_set = intersection(sF12,complement(sF11)) | empty_set = intersection(sF12,complement(sF11)) | member(sK0(intersection(sF12,complement(sF11))),sK5) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f278688,f4904])). 83.94/12.25 tff(f304930,plain,( 83.94/12.25 spl19_1028 | ~spl19_8 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_140 | ~spl19_235 | ~spl19_1021), 83.94/12.25 inference(avatar_split_clause,[],[f304926,f303760,f54764,f42703,f264,f181,f142,f118,f304928])). 83.94/12.25 tff(f42703,plain,( 83.94/12.25 spl19_140 <=> empty_set = complement(complement(empty_set))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_140])])). 83.94/12.25 tff(f54764,plain,( 83.94/12.25 spl19_235 <=> member(sK1,complement(empty_set))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_235])])). 83.94/12.25 tff(f304926,plain,( 83.94/12.25 0 = cardinality(union(empty_set,sF10)) | (~spl19_8 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_140 | ~spl19_235 | ~spl19_1021)), 83.94/12.25 inference(forward_demodulation,[],[f304925,f182])). 83.94/12.25 tff(f304925,plain,( 83.94/12.25 cardinality(empty_set) = cardinality(union(empty_set,sF10)) | (~spl19_8 | ~spl19_14 | ~spl19_26 | ~spl19_140 | ~spl19_235 | ~spl19_1021)), 83.94/12.25 inference(subsumption_resolution,[],[f304919,f54765])). 83.94/12.25 tff(f54765,plain,( 83.94/12.25 member(sK1,complement(empty_set)) | ~spl19_235), 83.94/12.25 inference(avatar_component_clause,[],[f54764])). 83.94/12.25 tff(f304919,plain,( 83.94/12.25 cardinality(empty_set) = cardinality(union(empty_set,sF10)) | ~member(sK1,complement(empty_set)) | (~spl19_8 | ~spl19_14 | ~spl19_26 | ~spl19_140 | ~spl19_1021)), 83.94/12.25 inference(superposition,[],[f304900,f42704])). 83.94/12.25 tff(f42704,plain,( 83.94/12.25 empty_set = complement(complement(empty_set)) | ~spl19_140), 83.94/12.25 inference(avatar_component_clause,[],[f42703])). 83.94/12.25 tff(f304900,plain,( 83.94/12.25 ( ! [X0 : set] : (cardinality(complement(X0)) = cardinality(union(complement(X0),sF10)) | ~member(sK1,X0)) ) | (~spl19_8 | ~spl19_14 | ~spl19_26 | ~spl19_1021)), 83.94/12.25 inference(evaluation,[],[f304899])). 83.94/12.25 tff(f304899,plain,( 83.94/12.25 ( ! [X0 : set] : (cardinality(union(complement(X0),sF10)) = $sum(0,cardinality(complement(X0))) | ~member(sK1,X0)) ) | (~spl19_8 | ~spl19_14 | ~spl19_26 | ~spl19_1021)), 83.94/12.25 inference(forward_demodulation,[],[f304898,f303761])). 83.94/12.25 tff(f304898,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK1,X0) | $sum(cardinality(sF10),cardinality(complement(X0))) = cardinality(union(complement(X0),sF10))) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(forward_demodulation,[],[f304896,f15])). 83.94/12.25 tff(f304896,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK1,X0) | cardinality(union(complement(X0),sF10)) = $sum(cardinality(complement(X0)),cardinality(sF10))) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(trivial_inequality_removal,[],[f304889])). 83.94/12.25 tff(f304889,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set != empty_set | ~member(sK1,X0) | cardinality(union(complement(X0),sF10)) = $sum(cardinality(complement(X0)),cardinality(sF10))) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f73,f277669])). 83.94/12.25 tff(f277669,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set = intersection(complement(X0),sF10) | ~member(sK1,X0)) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277610])). 83.94/12.25 tff(f277610,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set = intersection(complement(X0),sF10) | empty_set = intersection(complement(X0),sF10) | ~member(sK1,X0)) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f4848,f276653])). 83.94/12.25 tff(f276653,plain,( 83.94/12.25 ( ! [X0 : set] : (sK1 = sK0(intersection(X0,sF10)) | empty_set = intersection(X0,sF10)) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f269329,f204])). 83.94/12.25 tff(f304918,plain,( 83.94/12.25 spl19_1027 | ~spl19_10 | ~spl19_15 | ~spl19_18 | spl19_147 | ~spl19_970 | ~spl19_1022), 83.94/12.25 inference(avatar_split_clause,[],[f304869,f304364,f276252,f52209,f158,f146,f126,f304916])). 83.94/12.25 tff(f304869,plain,( 83.94/12.25 sF15 = cardinality(union(sF13,sF12)) | (~spl19_10 | ~spl19_15 | ~spl19_18 | spl19_147 | ~spl19_970 | ~spl19_1022)), 83.94/12.25 inference(subsumption_resolution,[],[f304857,f84082])). 83.94/12.25 tff(f304857,plain,( 83.94/12.25 sF15 = cardinality(union(sF13,sF12)) | member(sK7,sF18) | (~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_970 | ~spl19_1022)), 83.94/12.25 inference(superposition,[],[f304852,f127])). 83.94/12.25 tff(f304852,plain,( 83.94/12.25 ( ! [X0 : element] : (sF15 = cardinality(union(singleton(X0),sF12)) | member(X0,sF18)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970 | ~spl19_1022)), 83.94/12.25 inference(forward_demodulation,[],[f279098,f304365])). 83.94/12.25 tff(f279098,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF12)) = cardinality(union(singleton(X0),sF12)) | member(X0,sF18)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(trivial_inequality_removal,[],[f279086])). 83.94/12.25 tff(f279086,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != empty_set | $sum(1,cardinality(sF12)) = cardinality(union(singleton(X0),sF12)) | member(X0,sF18)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(superposition,[],[f404,f278946])). 83.94/12.25 tff(f278946,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF12) | member(X0,sF18)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f278943])). 83.94/12.25 tff(f278943,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF12) | empty_set = intersection(singleton(X0),sF12) | member(X0,sF18)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(superposition,[],[f278818,f4842])). 83.94/12.25 tff(f304875,plain,( 83.94/12.25 ~spl19_1026 | ~spl19_1022), 83.94/12.25 inference(avatar_split_clause,[],[f304705,f304364,f304873])). 83.94/12.25 tff(f304705,plain,( 83.94/12.25 ~$less(sF15,cardinality(sF12)) | ~spl19_1022), 83.94/12.25 inference(evaluation,[],[f304464])). 83.94/12.25 tff(f304464,plain,( 83.94/12.25 ~$less(sF15,cardinality(sF12)) | ~$less(-1,1) | ~spl19_1022), 83.94/12.25 inference(superposition,[],[f3792,f304365])). 83.94/12.25 tff(f3792,plain,( 83.94/12.25 ( ! [X0 : $int,X1 : $int] : (~$less($sum(X0,X1),X1) | ~$less(-1,X0)) )), 83.94/12.25 inference(resolution,[],[f727,f23])). 83.94/12.25 tff(f304856,plain,( 83.94/12.25 spl19_1025 | ~spl19_1022), 83.94/12.25 inference(avatar_split_clause,[],[f304403,f304364,f304854])). 83.94/12.25 tff(f304403,plain,( 83.94/12.25 $less(cardinality(sF12),sF15) | ~spl19_1022), 83.94/12.25 inference(superposition,[],[f248,f304365])). 83.94/12.25 tff(f304851,plain,( 83.94/12.25 spl19_1024 | spl19_276 | ~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_1021), 83.94/12.25 inference(avatar_split_clause,[],[f304833,f303760,f264,f181,f142,f122,f118,f55678,f304849])). 83.94/12.25 tff(f304849,plain,( 83.94/12.25 spl19_1024 <=> 1 = cardinality(union(sF11,sF10))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1024])])). 83.94/12.25 tff(f55678,plain,( 83.94/12.25 spl19_276 <=> sK1 = sK6), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_276])])). 83.94/12.25 tff(f304833,plain,( 83.94/12.25 sK1 = sK6 | 1 = cardinality(union(sF11,sF10)) | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_1021)), 83.94/12.25 inference(superposition,[],[f304828,f123])). 83.94/12.25 tff(f304828,plain,( 83.94/12.25 ( ! [X0 : element] : (1 = cardinality(union(singleton(X0),sF10)) | sK1 = X0) ) | (~spl19_8 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_1021)), 83.94/12.25 inference(forward_demodulation,[],[f304827,f6730])). 83.94/12.25 tff(f304827,plain,( 83.94/12.25 ( ! [X0 : element] : (cardinality(singleton(X0)) = cardinality(union(singleton(X0),sF10)) | sK1 = X0) ) | (~spl19_8 | ~spl19_14 | ~spl19_26 | ~spl19_1021)), 83.94/12.25 inference(evaluation,[],[f304826])). 83.94/12.25 tff(f304826,plain,( 83.94/12.25 ( ! [X0 : element] : (sK1 = X0 | cardinality(union(singleton(X0),sF10)) = $sum(cardinality(singleton(X0)),0)) ) | (~spl19_8 | ~spl19_14 | ~spl19_26 | ~spl19_1021)), 83.94/12.25 inference(forward_demodulation,[],[f304825,f303761])). 83.94/12.25 tff(f304825,plain,( 83.94/12.25 ( ! [X0 : element] : (cardinality(union(singleton(X0),sF10)) = $sum(cardinality(singleton(X0)),cardinality(sF10)) | sK1 = X0) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(trivial_inequality_removal,[],[f304817])). 83.94/12.25 tff(f304817,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != empty_set | sK1 = X0 | cardinality(union(singleton(X0),sF10)) = $sum(cardinality(singleton(X0)),cardinality(sF10))) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f73,f277657])). 83.94/12.25 tff(f277657,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF10) | sK1 = X0) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277605])). 83.94/12.25 tff(f277605,plain,( 83.94/12.25 ( ! [X0 : element] : (sK1 = X0 | empty_set = intersection(singleton(X0),sF10) | empty_set = intersection(singleton(X0),sF10)) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f4842,f276653])). 83.94/12.25 tff(f304847,plain,( 83.94/12.25 spl19_275 | spl19_1023 | ~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_1021), 83.94/12.25 inference(avatar_split_clause,[],[f304832,f303760,f264,f181,f142,f126,f118,f304845,f55655])). 83.94/12.25 tff(f55655,plain,( 83.94/12.25 spl19_275 <=> sK1 = sK7), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_275])])). 83.94/12.25 tff(f304845,plain,( 83.94/12.25 spl19_1023 <=> 1 = cardinality(union(sF13,sF10))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1023])])). 83.94/12.25 tff(f304832,plain,( 83.94/12.25 sK1 = sK7 | 1 = cardinality(union(sF13,sF10)) | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_1021)), 83.94/12.25 inference(superposition,[],[f304828,f127])). 83.94/12.25 tff(f304366,plain,( 83.94/12.25 spl19_1022 | ~spl19_10 | ~spl19_11 | ~spl19_15 | ~spl19_16 | ~spl19_18 | ~spl19_20 | spl19_147 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f304335,f276252,f52209,f181,f158,f150,f146,f130,f126,f304364])). 83.94/12.25 tff(f304335,plain,( 83.94/12.25 sF15 = $sum(1,cardinality(sF12)) | (~spl19_10 | ~spl19_11 | ~spl19_15 | ~spl19_16 | ~spl19_18 | ~spl19_20 | spl19_147 | ~spl19_970)), 83.94/12.25 inference(forward_demodulation,[],[f304334,f131])). 83.94/12.25 tff(f304334,plain,( 83.94/12.25 cardinality(sF14) = $sum(1,cardinality(sF12)) | (~spl19_10 | ~spl19_15 | ~spl19_16 | ~spl19_18 | ~spl19_20 | spl19_147 | ~spl19_970)), 83.94/12.25 inference(forward_demodulation,[],[f304333,f151])). 83.94/12.25 tff(f304333,plain,( 83.94/12.25 $sum(1,cardinality(sF12)) = cardinality(union(sF12,sF13)) | (~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_20 | spl19_147 | ~spl19_970)), 83.94/12.25 inference(subsumption_resolution,[],[f304321,f84082])). 83.94/12.25 tff(f304321,plain,( 83.94/12.25 member(sK7,sF18) | $sum(1,cardinality(sF12)) = cardinality(union(sF12,sF13)) | (~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_970)), 83.94/12.25 inference(superposition,[],[f278838,f127])). 83.94/12.25 tff(f278838,plain,( 83.94/12.25 ( ! [X0 : element] : (cardinality(union(sF12,singleton(X0))) = $sum(1,cardinality(sF12)) | member(X0,sF18)) ) | (~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_970)), 83.94/12.25 inference(forward_demodulation,[],[f278837,f15])). 83.94/12.25 tff(f278837,plain,( 83.94/12.25 ( ! [X0 : element] : (cardinality(union(sF12,singleton(X0))) = $sum(cardinality(sF12),1) | member(X0,sF18)) ) | (~spl19_15 | ~spl19_18 | ~spl19_20 | ~spl19_970)), 83.94/12.25 inference(forward_demodulation,[],[f278835,f6730])). 83.94/12.25 tff(f278835,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | cardinality(union(sF12,singleton(X0))) = $sum(cardinality(sF12),cardinality(singleton(X0)))) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(trivial_inequality_removal,[],[f278828])). 83.94/12.25 tff(f278828,plain,( 83.94/12.25 ( ! [X0 : element] : (cardinality(union(sF12,singleton(X0))) = $sum(cardinality(sF12),cardinality(singleton(X0))) | member(X0,sF18) | empty_set != empty_set) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(superposition,[],[f73,f278699])). 83.94/12.25 tff(f278699,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF12,singleton(X0)) | member(X0,sF18)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f278690])). 83.94/12.25 tff(f278690,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF12,singleton(X0)) | empty_set = intersection(sF12,singleton(X0)) | member(X0,sF18)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(superposition,[],[f278657,f4898])). 83.94/12.25 tff(f303762,plain,( 83.94/12.25 spl19_1021 | ~spl19_20 | ~spl19_1017), 83.94/12.25 inference(avatar_split_clause,[],[f303625,f303593,f181,f303760])). 83.94/12.25 tff(f303593,plain,( 83.94/12.25 spl19_1017 <=> empty_set = union(sF10,empty_set)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1017])])). 83.94/12.25 tff(f303625,plain,( 83.94/12.25 0 = cardinality(sF10) | (~spl19_20 | ~spl19_1017)), 83.94/12.25 inference(forward_demodulation,[],[f303616,f182])). 83.94/12.25 tff(f303616,plain,( 83.94/12.25 cardinality(empty_set) = cardinality(sF10) | (~spl19_20 | ~spl19_1017)), 83.94/12.25 inference(superposition,[],[f6110,f303594])). 83.94/12.25 tff(f303594,plain,( 83.94/12.25 empty_set = union(sF10,empty_set) | ~spl19_1017), 83.94/12.25 inference(avatar_component_clause,[],[f303593])). 83.94/12.25 tff(f303605,plain,( 83.94/12.25 spl19_1019 | spl19_1020 | ~spl19_14 | ~spl19_26 | ~spl19_353), 83.94/12.25 inference(avatar_split_clause,[],[f276390,f66743,f264,f142,f303603,f303600])). 83.94/12.25 tff(f303600,plain,( 83.94/12.25 spl19_1019 <=> empty_set = complement(complement(sF10))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1019])])). 83.94/12.25 tff(f276390,plain,( 83.94/12.25 member(sK0(complement(complement(sF10))),sK5) | empty_set = complement(complement(sF10)) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(resolution,[],[f276347,f753])). 83.94/12.25 tff(f753,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(complement(complement(X0))),X0) | empty_set = complement(complement(X0))) )), 83.94/12.25 inference(resolution,[],[f222,f57])). 83.94/12.25 tff(f222,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(complement(X0)),X0) | empty_set = complement(X0)) )), 83.94/12.25 inference(resolution,[],[f59,f58])). 83.94/12.25 tff(f276347,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF10) | member(X0,sK5)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(resolution,[],[f276157,f198])). 83.94/12.25 tff(f276157,plain,( 83.94/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X0,sK5) | ~member(X1,sF10)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(subsumption_resolution,[],[f276142,f162])). 83.94/12.25 tff(f276142,plain,( 83.94/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X0,sK5) | member(X1,empty_set) | ~member(X1,sF10)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(superposition,[],[f46,f276072])). 83.94/12.25 tff(f303598,plain,( 83.94/12.25 spl19_1017 | spl19_1018 | ~spl19_14 | ~spl19_26 | ~spl19_353), 83.94/12.25 inference(avatar_split_clause,[],[f276383,f66743,f264,f142,f303596,f303593])). 83.94/12.25 tff(f276383,plain,( 83.94/12.25 empty_set = union(sF10,empty_set) | member(sK0(union(sF10,empty_set)),sK5) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(resolution,[],[f276347,f11060])). 83.94/12.25 tff(f11060,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(union(X0,empty_set)),X0) | empty_set = union(X0,empty_set)) )), 83.94/12.25 inference(resolution,[],[f347,f162])). 83.94/12.25 tff(f303591,plain,( 83.94/12.25 spl19_1015 | spl19_1016 | ~spl19_14 | ~spl19_26 | ~spl19_353), 83.94/12.25 inference(avatar_split_clause,[],[f276382,f66743,f264,f142,f303589,f303586])). 83.94/12.25 tff(f276382,plain,( 83.94/12.25 member(sK0(union(sF10,sF10)),sK5) | empty_set = union(sF10,sF10) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(resolution,[],[f276347,f11086])). 83.94/12.25 tff(f11086,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(union(X0,X0)),X0) | empty_set = union(X0,X0)) )), 83.94/12.25 inference(factoring,[],[f347])). 83.94/12.25 tff(f299410,plain,( 83.94/12.25 spl19_967 | spl19_275 | ~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f277656,f264,f142,f126,f118,f55655,f275966])). 83.94/12.25 tff(f275966,plain,( 83.94/12.25 spl19_967 <=> empty_set = intersection(sF13,sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_967])])). 83.94/12.25 tff(f277656,plain,( 83.94/12.25 empty_set = intersection(sF13,sF10) | sK1 = sK7 | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277601])). 83.94/12.25 tff(f277601,plain,( 83.94/12.25 empty_set = intersection(sF13,sF10) | empty_set = intersection(sF13,sF10) | sK1 = sK7 | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f276653,f4861])). 83.94/12.25 tff(f299409,plain,( 83.94/12.25 spl19_1014 | ~spl19_59 | ~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26 | spl19_150), 83.94/12.25 inference(avatar_split_clause,[],[f298781,f52379,f264,f142,f126,f118,f1016,f299407])). 83.94/12.25 tff(f299407,plain,( 83.94/12.25 spl19_1014 <=> cardinality(sF10) = cardinality(union(sF13,sF10))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1014])])). 83.94/12.25 tff(f52379,plain,( 83.94/12.25 spl19_150 <=> member(sK1,sF13)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_150])])). 83.94/12.25 tff(f298781,plain,( 83.94/12.25 empty_set != sF13 | cardinality(sF10) = cardinality(union(sF13,sF10)) | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26 | spl19_150)), 83.94/12.25 inference(subsumption_resolution,[],[f298743,f52380])). 83.94/12.25 tff(f52380,plain,( 83.94/12.25 ~member(sK1,sF13) | spl19_150), 83.94/12.25 inference(avatar_component_clause,[],[f52379])). 83.94/12.25 tff(f298743,plain,( 83.94/12.25 member(sK1,sF13) | cardinality(sF10) = cardinality(union(sF13,sF10)) | empty_set != sF13 | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f364,f277648])). 83.94/12.25 tff(f277648,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set = intersection(X0,sF10) | member(sK1,X0)) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277604])). 83.94/12.25 tff(f277604,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK1,X0) | empty_set = intersection(X0,sF10) | empty_set = intersection(X0,sF10)) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f233,f276653])). 83.94/12.25 tff(f299404,plain,( 83.94/12.25 spl19_1013 | ~spl19_669 | ~spl19_1007), 83.94/12.25 inference(avatar_split_clause,[],[f299390,f298138,f190378,f299402])). 83.94/12.25 tff(f299402,plain,( 83.94/12.25 spl19_1013 <=> member(sK0(union(empty_set,empty_set)),sF14)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1013])])). 83.94/12.25 tff(f190378,plain,( 83.94/12.25 spl19_669 <=> member(sK0(union(union(sF12,sF12),empty_set)),sF14)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_669])])). 83.94/12.25 tff(f298138,plain,( 83.94/12.25 spl19_1007 <=> empty_set = union(sF12,sF12)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1007])])). 83.94/12.25 tff(f299390,plain,( 83.94/12.25 member(sK0(union(empty_set,empty_set)),sF14) | (~spl19_669 | ~spl19_1007)), 83.94/12.25 inference(backward_demodulation,[],[f190379,f298139])). 83.94/12.25 tff(f298139,plain,( 83.94/12.25 empty_set = union(sF12,sF12) | ~spl19_1007), 83.94/12.25 inference(avatar_component_clause,[],[f298138])). 83.94/12.25 tff(f190379,plain,( 83.94/12.25 member(sK0(union(union(sF12,sF12),empty_set)),sF14) | ~spl19_669), 83.94/12.25 inference(avatar_component_clause,[],[f190378])). 83.94/12.25 tff(f299389,plain,( 83.94/12.25 spl19_1012 | ~spl19_57 | ~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26 | spl19_228), 83.94/12.25 inference(avatar_split_clause,[],[f298772,f54552,f264,f142,f122,f118,f682,f299387])). 83.94/12.25 tff(f299387,plain,( 83.94/12.25 spl19_1012 <=> cardinality(sF10) = cardinality(union(sF11,sF10))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1012])])). 83.94/12.25 tff(f54552,plain,( 83.94/12.25 spl19_228 <=> member(sK1,sF11)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_228])])). 83.94/12.25 tff(f298772,plain,( 83.94/12.25 cardinality(sF10) = cardinality(union(sF11,sF10)) | empty_set != sF11 | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26 | spl19_228)), 83.94/12.25 inference(subsumption_resolution,[],[f298737,f54915])). 83.94/12.25 tff(f54915,plain,( 83.94/12.25 ~member(sK1,sF11) | spl19_228), 83.94/12.25 inference(avatar_component_clause,[],[f54552])). 83.94/12.25 tff(f298737,plain,( 83.94/12.25 cardinality(sF10) = cardinality(union(sF11,sF10)) | member(sK1,sF11) | empty_set != sF11 | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f363,f277648])). 83.94/12.25 tff(f298826,plain,( 83.94/12.25 spl19_30 | spl19_67 | ~spl19_335), 83.94/12.25 inference(avatar_split_clause,[],[f298797,f63644,f1469,f359])). 83.94/12.25 tff(f359,plain,( 83.94/12.25 spl19_30 <=> empty_set = sF9), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_30])])). 83.94/12.25 tff(f1469,plain,( 83.94/12.25 spl19_67 <=> member(sK0(sF9),sF12)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_67])])). 83.94/12.25 tff(f63644,plain,( 83.94/12.25 spl19_335 <=> empty_set = intersection(complement(sF12),sF9)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_335])])). 83.94/12.25 tff(f298797,plain,( 83.94/12.25 empty_set = sF9 | member(sK0(sF9),sF12) | ~spl19_335), 83.94/12.25 inference(resolution,[],[f296790,f59])). 83.94/12.25 tff(f296790,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF12)) ) | ~spl19_335), 83.94/12.25 inference(resolution,[],[f268959,f57])). 83.94/12.25 tff(f268959,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,complement(sF12)) | ~member(X0,sF9)) ) | ~spl19_335), 83.94/12.25 inference(subsumption_resolution,[],[f63651,f162])). 83.94/12.25 tff(f63651,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,empty_set) | ~member(X0,complement(sF12))) ) | ~spl19_335), 83.94/12.25 inference(superposition,[],[f46,f63645])). 83.94/12.25 tff(f63645,plain,( 83.94/12.25 empty_set = intersection(complement(sF12),sF9) | ~spl19_335), 83.94/12.25 inference(avatar_component_clause,[],[f63644])). 83.94/12.25 tff(f298825,plain,( 83.94/12.25 spl19_1011 | ~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26 | spl19_228), 83.94/12.25 inference(avatar_split_clause,[],[f298774,f54552,f264,f142,f122,f118,f298823])). 83.94/12.25 tff(f298774,plain,( 83.94/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF11,sF10)) | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26 | spl19_228)), 83.94/12.25 inference(subsumption_resolution,[],[f298768,f54915])). 83.94/12.25 tff(f298768,plain,( 83.94/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF11,sF10)) | member(sK1,sF11) | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(trivial_inequality_removal,[],[f298738])). 83.94/12.25 tff(f298738,plain,( 83.94/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF11,sF10)) | empty_set != empty_set | member(sK1,sF11) | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f438,f277648])). 83.94/12.25 tff(f298786,plain,( 83.94/12.25 spl19_1010 | ~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26 | spl19_150), 83.94/12.25 inference(avatar_split_clause,[],[f298771,f52379,f264,f142,f126,f118,f298784])). 83.94/12.25 tff(f298771,plain,( 83.94/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF13,sF10)) | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26 | spl19_150)), 83.94/12.25 inference(subsumption_resolution,[],[f298770,f52380])). 83.94/12.25 tff(f298770,plain,( 83.94/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF13,sF10)) | member(sK1,sF13) | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(trivial_inequality_removal,[],[f298744])). 83.94/12.25 tff(f298744,plain,( 83.94/12.25 $sum(1,cardinality(sF10)) = cardinality(union(sF13,sF10)) | member(sK1,sF13) | empty_set != empty_set | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f439,f277648])). 83.94/12.25 tff(f298782,plain,( 83.94/12.25 spl19_276 | spl19_975 | ~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f277649,f264,f142,f122,f118,f276709,f55678])). 83.94/12.25 tff(f276709,plain,( 83.94/12.25 spl19_975 <=> empty_set = intersection(sF11,sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_975])])). 83.94/12.25 tff(f277649,plain,( 83.94/12.25 empty_set = intersection(sF11,sF10) | sK1 = sK6 | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277628])). 83.94/12.25 tff(f277628,plain,( 83.94/12.25 empty_set = intersection(sF11,sF10) | sK1 = sK6 | empty_set = intersection(sF11,sF10) | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f4857,f276653])). 83.94/12.25 tff(f298717,plain,( 83.94/12.25 spl19_276 | spl19_975 | ~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f277643,f264,f142,f122,f118,f276709,f55678])). 83.94/12.25 tff(f277643,plain,( 83.94/12.25 empty_set = intersection(sF11,sF10) | sK1 = sK6 | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277600])). 83.94/12.25 tff(f277600,plain,( 83.94/12.25 empty_set = intersection(sF11,sF10) | sK1 = sK6 | empty_set = intersection(sF11,sF10) | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f276653,f4857])). 83.94/12.25 tff(f298716,plain,( 83.94/12.25 spl19_1008 | spl19_1009 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f286019,f276252,f158,f146,f114,f298714,f298711])). 83.94/12.25 tff(f298711,plain,( 83.94/12.25 spl19_1008 <=> member(sK0(complement(complement(sF12))),sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1008])])). 83.94/12.25 tff(f298714,plain,( 83.94/12.25 spl19_1009 <=> empty_set = complement(complement(sF12))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1009])])). 83.94/12.25 tff(f286019,plain,( 83.94/12.25 empty_set = complement(complement(sF12)) | member(sK0(complement(complement(sF12))),sK2) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f285966,f753])). 83.94/12.25 tff(f298709,plain,( 83.94/12.25 spl19_275 | spl19_967 | ~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f277640,f264,f142,f126,f118,f275966,f55655])). 83.94/12.25 tff(f277640,plain,( 83.94/12.25 empty_set = intersection(sF13,sF10) | sK1 = sK7 | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277632])). 83.94/12.25 tff(f277632,plain,( 83.94/12.25 empty_set = intersection(sF13,sF10) | empty_set = intersection(sF13,sF10) | sK1 = sK7 | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f4861,f276653])). 83.94/12.25 tff(f298140,plain,( 83.94/12.25 spl19_1006 | spl19_1007 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f286010,f276252,f158,f146,f114,f298138,f298135])). 83.94/12.25 tff(f298135,plain,( 83.94/12.25 spl19_1006 <=> member(sK0(union(sF12,sF12)),sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1006])])). 83.94/12.25 tff(f286010,plain,( 83.94/12.25 empty_set = union(sF12,sF12) | member(sK0(union(sF12,sF12)),sK2) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f285966,f11086])). 83.94/12.25 tff(f298114,plain,( 83.94/12.25 ~spl19_42 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298101])). 83.94/12.25 tff(f298101,plain,( 83.94/12.25 $false | (~spl19_42 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f494])). 83.94/12.25 tff(f494,plain,( 83.94/12.25 member(sK1,sK5) | ~spl19_42), 83.94/12.25 inference(avatar_component_clause,[],[f493])). 83.94/12.25 tff(f493,plain,( 83.94/12.25 spl19_42 <=> member(sK1,sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_42])])). 83.94/12.25 tff(f298053,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sK5)) ) | ~spl19_997), 83.94/12.25 inference(subsumption_resolution,[],[f298046,f162])). 83.94/12.25 tff(f298046,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sK5)) ) | ~spl19_997), 83.94/12.25 inference(superposition,[],[f54,f291176])). 83.94/12.25 tff(f291176,plain,( 83.94/12.25 empty_set = union(sK5,sF10) | ~spl19_997), 83.94/12.25 inference(avatar_component_clause,[],[f291175])). 83.94/12.25 tff(f291175,plain,( 83.94/12.25 spl19_997 <=> empty_set = union(sK5,sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_997])])). 83.94/12.25 tff(f298113,plain,( 83.94/12.25 ~spl19_795 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298066])). 83.94/12.25 tff(f298066,plain,( 83.94/12.25 $false | (~spl19_795 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f223895])). 83.94/12.25 tff(f223895,plain,( 83.94/12.25 member(sK0(union(intersection(complement(sF11),sF18),empty_set)),sK5) | ~spl19_795), 83.94/12.25 inference(avatar_component_clause,[],[f223894])). 83.94/12.25 tff(f223894,plain,( 83.94/12.25 spl19_795 <=> member(sK0(union(intersection(complement(sF11),sF18),empty_set)),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_795])])). 83.94/12.25 tff(f298112,plain,( 83.94/12.25 ~spl19_804 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298067])). 83.94/12.25 tff(f298067,plain,( 83.94/12.25 $false | (~spl19_804 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f224498])). 83.94/12.25 tff(f224498,plain,( 83.94/12.25 member(sK0(union(intersection(sF18,complement(sF11)),empty_set)),sK5) | ~spl19_804), 83.94/12.25 inference(avatar_component_clause,[],[f224497])). 83.94/12.25 tff(f224497,plain,( 83.94/12.25 spl19_804 <=> member(sK0(union(intersection(sF18,complement(sF11)),empty_set)),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_804])])). 83.94/12.25 tff(f298111,plain,( 83.94/12.25 ~spl19_991 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298069])). 83.94/12.25 tff(f298069,plain,( 83.94/12.25 $false | (~spl19_991 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f289169])). 83.94/12.25 tff(f289169,plain,( 83.94/12.25 member(sK0(union(sF9,sF10)),sK5) | ~spl19_991), 83.94/12.25 inference(avatar_component_clause,[],[f289168])). 83.94/12.25 tff(f289168,plain,( 83.94/12.25 spl19_991 <=> member(sK0(union(sF9,sF10)),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_991])])). 83.94/12.25 tff(f298110,plain,( 83.94/12.25 ~spl19_29 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298076])). 83.94/12.25 tff(f298076,plain,( 83.94/12.25 $false | (~spl19_29 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f357])). 83.94/12.25 tff(f357,plain,( 83.94/12.25 member(sK0(sF9),sK5) | ~spl19_29), 83.94/12.25 inference(avatar_component_clause,[],[f356])). 83.94/12.25 tff(f356,plain,( 83.94/12.25 spl19_29 <=> member(sK0(sF9),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_29])])). 83.94/12.25 tff(f298109,plain,( 83.94/12.25 ~spl19_118 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298065])). 83.94/12.25 tff(f298065,plain,( 83.94/12.25 $false | (~spl19_118 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f12557])). 83.94/12.25 tff(f12557,plain,( 83.94/12.25 member(sK0(union(sF18,sF9)),sK5) | ~spl19_118), 83.94/12.25 inference(avatar_component_clause,[],[f12556])). 83.94/12.25 tff(f12556,plain,( 83.94/12.25 spl19_118 <=> member(sK0(union(sF18,sF9)),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_118])])). 83.94/12.25 tff(f298108,plain,( 83.94/12.25 ~spl19_356 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298064])). 83.94/12.25 tff(f298064,plain,( 83.94/12.25 $false | (~spl19_356 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f67170])). 83.94/12.25 tff(f67170,plain,( 83.94/12.25 member(sK0(union(sF9,sF9)),sK5) | ~spl19_356), 83.94/12.25 inference(avatar_component_clause,[],[f67169])). 83.94/12.25 tff(f67169,plain,( 83.94/12.25 spl19_356 <=> member(sK0(union(sF9,sF9)),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_356])])). 83.94/12.25 tff(f298107,plain,( 83.94/12.25 ~spl19_130 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298078])). 83.94/12.25 tff(f298078,plain,( 83.94/12.25 $false | (~spl19_130 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f38992])). 83.94/12.25 tff(f38992,plain,( 83.94/12.25 member(sK0(sF18),sK5) | ~spl19_130), 83.94/12.25 inference(avatar_component_clause,[],[f38991])). 83.94/12.25 tff(f38991,plain,( 83.94/12.25 spl19_130 <=> member(sK0(sF18),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_130])])). 83.94/12.25 tff(f298106,plain,( 83.94/12.25 ~spl19_989 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298073])). 83.94/12.25 tff(f298073,plain,( 83.94/12.25 $false | (~spl19_989 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f289140])). 83.94/12.25 tff(f289140,plain,( 83.94/12.25 member(sK0(difference(sF12,sF11)),sK5) | ~spl19_989), 83.94/12.25 inference(avatar_component_clause,[],[f289139])). 83.94/12.25 tff(f289139,plain,( 83.94/12.25 spl19_989 <=> member(sK0(difference(sF12,sF11)),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_989])])). 83.94/12.25 tff(f298105,plain,( 83.94/12.25 ~spl19_85 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298074])). 83.94/12.25 tff(f298074,plain,( 83.94/12.25 $false | (~spl19_85 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f2303])). 83.94/12.25 tff(f2303,plain,( 83.94/12.25 member(sK0(sK4),sK5) | ~spl19_85), 83.94/12.25 inference(avatar_component_clause,[],[f2302])). 83.94/12.25 tff(f2302,plain,( 83.94/12.25 spl19_85 <=> member(sK0(sK4),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_85])])). 83.94/12.25 tff(f298104,plain,( 83.94/12.25 ~spl19_107 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298063])). 83.94/12.25 tff(f298063,plain,( 83.94/12.25 $false | (~spl19_107 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f11217])). 83.94/12.25 tff(f11217,plain,( 83.94/12.25 member(sK0(union(sK5,sF9)),sK5) | ~spl19_107), 83.94/12.25 inference(avatar_component_clause,[],[f11216])). 83.94/12.25 tff(f11216,plain,( 83.94/12.25 spl19_107 <=> member(sK0(union(sK5,sF9)),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_107])])). 83.94/12.25 tff(f298103,plain,( 83.94/12.25 ~spl19_105 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298075])). 83.94/12.25 tff(f298075,plain,( 83.94/12.25 $false | (~spl19_105 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f9609])). 83.94/12.25 tff(f9609,plain,( 83.94/12.25 member(sK0(sK5),sK5) | ~spl19_105), 83.94/12.25 inference(avatar_component_clause,[],[f9608])). 83.94/12.25 tff(f9608,plain,( 83.94/12.25 spl19_105 <=> member(sK0(sK5),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_105])])). 83.94/12.25 tff(f298102,plain,( 83.94/12.25 ~spl19_939 | ~spl19_997), 83.94/12.25 inference(avatar_contradiction_clause,[],[f298077])). 83.94/12.25 tff(f298077,plain,( 83.94/12.25 $false | (~spl19_939 | ~spl19_997)), 83.94/12.25 inference(resolution,[],[f298053,f272849])). 83.94/12.25 tff(f272849,plain,( 83.94/12.25 member(sK0(sF10),sK5) | ~spl19_939), 83.94/12.25 inference(avatar_component_clause,[],[f272848])). 83.94/12.25 tff(f297044,plain,( 83.94/12.25 spl19_30 | spl19_67 | ~spl19_504), 83.94/12.25 inference(avatar_split_clause,[],[f296765,f99435,f1469,f359])). 83.94/12.25 tff(f99435,plain,( 83.94/12.25 spl19_504 <=> empty_set = difference(complement(sF12),complement(sF9))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_504])])). 83.94/12.25 tff(f296765,plain,( 83.94/12.25 empty_set = sF9 | member(sK0(sF9),sF12) | ~spl19_504), 83.94/12.25 inference(resolution,[],[f100619,f59])). 83.94/12.25 tff(f100619,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF12)) ) | ~spl19_504), 83.94/12.25 inference(resolution,[],[f100581,f58])). 83.94/12.25 tff(f100581,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,complement(sF9)) | member(X0,sF12)) ) | ~spl19_504), 83.94/12.25 inference(resolution,[],[f99949,f57])). 83.94/12.25 tff(f99949,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,complement(sF12)) | member(X0,complement(sF9))) ) | ~spl19_504), 83.94/12.25 inference(subsumption_resolution,[],[f99906,f162])). 83.94/12.25 tff(f99906,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,complement(sF9)) | member(X0,empty_set) | ~member(X0,complement(sF12))) ) | ~spl19_504), 83.94/12.25 inference(superposition,[],[f61,f99436])). 83.94/12.25 tff(f99436,plain,( 83.94/12.25 empty_set = difference(complement(sF12),complement(sF9)) | ~spl19_504), 83.94/12.25 inference(avatar_component_clause,[],[f99435])). 83.94/12.25 tff(f296754,plain,( 83.94/12.25 spl19_275 | spl19_966 | ~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f276577,f264,f142,f126,f118,f275933,f55655])). 83.94/12.25 tff(f275933,plain,( 83.94/12.25 spl19_966 <=> empty_set = intersection(sF10,sF13)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_966])])). 83.94/12.25 tff(f276577,plain,( 83.94/12.25 sK1 = sK7 | empty_set = intersection(sF10,sF13) | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276507])). 83.94/12.25 tff(f276507,plain,( 83.94/12.25 sK1 = sK7 | empty_set = intersection(sF10,sF13) | empty_set = intersection(sF10,sF13) | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f276019,f4917])). 83.94/12.25 tff(f276019,plain,( 83.94/12.25 ( ! [X0 : set] : (sK1 = sK0(intersection(sF10,X0)) | empty_set = intersection(sF10,X0)) ) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f269318,f204])). 83.94/12.25 tff(f296718,plain,( 83.94/12.25 ~spl19_1005 | ~spl19_145 | ~spl19_1003), 83.94/12.25 inference(avatar_split_clause,[],[f295120,f292705,f52201,f296716])). 83.94/12.25 tff(f296716,plain,( 83.94/12.25 spl19_1005 <=> member(sK0(union(sK5,sF10)),sF13)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1005])])). 83.94/12.25 tff(f292705,plain,( 83.94/12.25 spl19_1003 <=> member(sK0(union(sK5,sF10)),sF18)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1003])])). 83.94/12.25 tff(f295120,plain,( 83.94/12.25 ~member(sK0(union(sK5,sF10)),sF13) | (~spl19_145 | ~spl19_1003)), 83.94/12.25 inference(resolution,[],[f292706,f52220])). 83.94/12.25 tff(f292706,plain,( 83.94/12.25 member(sK0(union(sK5,sF10)),sF18) | ~spl19_1003), 83.94/12.25 inference(avatar_component_clause,[],[f292705])). 83.94/12.25 tff(f295827,plain,( 83.94/12.25 spl19_966 | spl19_275 | ~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f276575,f264,f142,f126,f118,f55655,f275933])). 83.94/12.25 tff(f276575,plain,( 83.94/12.25 empty_set = intersection(sF10,sF13) | sK1 = sK7 | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276536])). 83.94/12.25 tff(f276536,plain,( 83.94/12.25 empty_set = intersection(sF10,sF13) | sK1 = sK7 | empty_set = intersection(sF10,sF13) | (~spl19_8 | ~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f4917,f276019])). 83.94/12.25 tff(f295069,plain,( 83.94/12.25 spl19_969 | spl19_276 | ~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f276562,f264,f142,f122,f118,f55678,f276159])). 83.94/12.25 tff(f276159,plain,( 83.94/12.25 spl19_969 <=> empty_set = intersection(sF10,sF11)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_969])])). 83.94/12.25 tff(f276562,plain,( 83.94/12.25 empty_set = intersection(sF10,sF11) | sK1 = sK6 | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276506])). 83.94/12.25 tff(f276506,plain,( 83.94/12.25 empty_set = intersection(sF10,sF11) | empty_set = intersection(sF10,sF11) | sK1 = sK6 | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f276019,f4913])). 83.94/12.25 tff(f293805,plain,( 83.94/12.25 spl19_999 | ~spl19_7 | ~spl19_998), 83.94/12.25 inference(avatar_split_clause,[],[f291188,f291181,f114,f291200])). 83.94/12.25 tff(f291200,plain,( 83.94/12.25 spl19_999 <=> member(sK0(union(sF9,sF10)),sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_999])])). 83.94/12.25 tff(f291181,plain,( 83.94/12.25 spl19_998 <=> member(sK0(union(sF9,sF10)),sF18)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_998])])). 83.94/12.25 tff(f291188,plain,( 83.94/12.25 member(sK0(union(sF9,sF10)),sK2) | (~spl19_7 | ~spl19_998)), 83.94/12.25 inference(resolution,[],[f291182,f272])). 83.94/12.25 tff(f291182,plain,( 83.94/12.25 member(sK0(union(sF9,sF10)),sF18) | ~spl19_998), 83.94/12.25 inference(avatar_component_clause,[],[f291181])). 83.94/12.25 tff(f292816,plain,( 83.94/12.25 ~spl19_1004 | ~spl19_145 | ~spl19_998), 83.94/12.25 inference(avatar_split_clause,[],[f291186,f291181,f52201,f292814])). 83.94/12.25 tff(f292814,plain,( 83.94/12.25 spl19_1004 <=> member(sK0(union(sF9,sF10)),sF13)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1004])])). 83.94/12.25 tff(f291186,plain,( 83.94/12.25 ~member(sK0(union(sF9,sF10)),sF13) | (~spl19_145 | ~spl19_998)), 83.94/12.25 inference(resolution,[],[f291182,f52220])). 83.94/12.25 tff(f292707,plain,( 83.94/12.25 spl19_1003 | ~spl19_18 | ~spl19_996), 83.94/12.25 inference(avatar_split_clause,[],[f291185,f291172,f158,f292705])). 83.94/12.25 tff(f291172,plain,( 83.94/12.25 spl19_996 <=> member(sK0(union(sK5,sF10)),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_996])])). 83.94/12.25 tff(f291185,plain,( 83.94/12.25 member(sK0(union(sK5,sF10)),sF18) | (~spl19_18 | ~spl19_996)), 83.94/12.25 inference(resolution,[],[f291173,f243])). 83.94/12.25 tff(f291173,plain,( 83.94/12.25 member(sK0(union(sK5,sF10)),sK5) | ~spl19_996), 83.94/12.25 inference(avatar_component_clause,[],[f291172])). 83.94/12.25 tff(f291799,plain,( 83.94/12.25 spl19_969 | spl19_276 | ~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f276551,f264,f142,f122,f118,f55678,f276159])). 83.94/12.25 tff(f276551,plain,( 83.94/12.25 empty_set = intersection(sF10,sF11) | sK1 = sK6 | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276532])). 83.94/12.25 tff(f276532,plain,( 83.94/12.25 empty_set = intersection(sF10,sF11) | empty_set = intersection(sF10,sF11) | sK1 = sK6 | (~spl19_8 | ~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f4913,f276019])). 83.94/12.25 tff(f291246,plain,( 83.94/12.25 spl19_1002 | ~spl19_351 | ~spl19_996), 83.94/12.25 inference(avatar_split_clause,[],[f291184,f291172,f66621,f291244])). 83.94/12.25 tff(f291244,plain,( 83.94/12.25 spl19_1002 <=> member(sK0(union(sK5,sF10)),sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1002])])). 83.94/12.25 tff(f291184,plain,( 83.94/12.25 member(sK0(union(sK5,sF10)),sK2) | (~spl19_351 | ~spl19_996)), 83.94/12.25 inference(resolution,[],[f291173,f66648])). 83.94/12.25 tff(f291224,plain,( 83.94/12.25 spl19_1001 | ~spl19_18 | ~spl19_989), 83.94/12.25 inference(avatar_split_clause,[],[f291179,f289139,f158,f291222])). 83.94/12.25 tff(f291222,plain,( 83.94/12.25 spl19_1001 <=> member(sK0(difference(sF12,sF11)),sF18)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1001])])). 83.94/12.25 tff(f291179,plain,( 83.94/12.25 member(sK0(difference(sF12,sF11)),sF18) | (~spl19_18 | ~spl19_989)), 83.94/12.25 inference(resolution,[],[f289140,f243])). 83.94/12.25 tff(f291206,plain,( 83.94/12.25 spl19_1000 | ~spl19_351 | ~spl19_989), 83.94/12.25 inference(avatar_split_clause,[],[f291178,f289139,f66621,f291204])). 83.94/12.25 tff(f291204,plain,( 83.94/12.25 spl19_1000 <=> member(sK0(difference(sF12,sF11)),sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_1000])])). 83.94/12.25 tff(f291178,plain,( 83.94/12.25 member(sK0(difference(sF12,sF11)),sK2) | (~spl19_351 | ~spl19_989)), 83.94/12.25 inference(resolution,[],[f289140,f66648])). 83.94/12.25 tff(f291202,plain,( 83.94/12.25 spl19_999 | ~spl19_351 | ~spl19_991), 83.94/12.25 inference(avatar_split_clause,[],[f291169,f289168,f66621,f291200])). 83.94/12.25 tff(f291169,plain,( 83.94/12.25 member(sK0(union(sF9,sF10)),sK2) | (~spl19_351 | ~spl19_991)), 83.94/12.25 inference(resolution,[],[f289169,f66648])). 83.94/12.25 tff(f291183,plain,( 83.94/12.25 spl19_998 | ~spl19_18 | ~spl19_991), 83.94/12.25 inference(avatar_split_clause,[],[f291170,f289168,f158,f291181])). 83.94/12.25 tff(f291170,plain,( 83.94/12.25 member(sK0(union(sF9,sF10)),sF18) | (~spl19_18 | ~spl19_991)), 83.94/12.25 inference(resolution,[],[f289169,f243])). 83.94/12.25 tff(f291177,plain,( 83.94/12.25 spl19_996 | spl19_997 | ~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f290863,f264,f142,f138,f106,f291175,f291172])). 83.94/12.25 tff(f290863,plain,( 83.94/12.25 empty_set = union(sK5,sF10) | member(sK0(union(sK5,sF10)),sK5) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(factoring,[],[f285842])). 83.94/12.25 tff(f285842,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(union(X0,sF10)),sK5) | empty_set = union(X0,sF10) | member(sK0(union(X0,sF10)),X0)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f278630,f271])). 83.94/12.25 tff(f291136,plain,( 83.94/12.25 ~spl19_812 | ~spl19_992), 83.94/12.25 inference(avatar_contradiction_clause,[],[f291105])). 83.94/12.25 tff(f291105,plain,( 83.94/12.25 $false | (~spl19_812 | ~spl19_992)), 83.94/12.25 inference(resolution,[],[f291099,f225214])). 83.94/12.25 tff(f225214,plain,( 83.94/12.25 member(sK0(union(intersection(complement(sF11),sF12),empty_set)),sF9) | ~spl19_812), 83.94/12.25 inference(avatar_component_clause,[],[f225213])). 83.94/12.25 tff(f225213,plain,( 83.94/12.25 spl19_812 <=> member(sK0(union(intersection(complement(sF11),sF12),empty_set)),sF9)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_812])])). 83.94/12.25 tff(f291099,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9)) ) | ~spl19_992), 83.94/12.25 inference(subsumption_resolution,[],[f291093,f162])). 83.94/12.25 tff(f291093,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF9)) ) | ~spl19_992), 83.94/12.25 inference(superposition,[],[f54,f289172])). 83.94/12.25 tff(f289172,plain,( 83.94/12.25 empty_set = union(sF9,sF10) | ~spl19_992), 83.94/12.25 inference(avatar_component_clause,[],[f289171])). 83.94/12.25 tff(f291135,plain,( 83.94/12.25 ~spl19_41 | ~spl19_992), 83.94/12.25 inference(avatar_contradiction_clause,[],[f291133])). 83.94/12.25 tff(f291133,plain,( 83.94/12.25 $false | (~spl19_41 | ~spl19_992)), 83.94/12.25 inference(resolution,[],[f291099,f489])). 83.94/12.25 tff(f291134,plain,( 83.94/12.25 ~spl19_62 | ~spl19_992), 83.94/12.25 inference(avatar_contradiction_clause,[],[f291110])). 83.94/12.25 tff(f291110,plain,( 83.94/12.25 $false | (~spl19_62 | ~spl19_992)), 83.94/12.25 inference(resolution,[],[f291099,f1285])). 83.94/12.25 tff(f1285,plain,( 83.94/12.25 member(sK0(sK4),sF9) | ~spl19_62), 83.94/12.25 inference(avatar_component_clause,[],[f1284])). 83.94/12.25 tff(f1284,plain,( 83.94/12.25 spl19_62 <=> member(sK0(sK4),sF9)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_62])])). 83.94/12.25 tff(f291082,plain,( 83.94/12.25 spl19_30 | spl19_67 | ~spl19_326), 83.94/12.25 inference(avatar_split_clause,[],[f289027,f59579,f1469,f359])). 83.94/12.25 tff(f59579,plain,( 83.94/12.25 spl19_326 <=> empty_set = intersection(sF9,complement(sF12))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_326])])). 83.94/12.25 tff(f289027,plain,( 83.94/12.25 empty_set = sF9 | member(sK0(sF9),sF12) | ~spl19_326), 83.94/12.25 inference(resolution,[],[f278154,f59])). 83.94/12.25 tff(f278154,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF12)) ) | ~spl19_326), 83.94/12.25 inference(resolution,[],[f59707,f57])). 83.94/12.25 tff(f59707,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,complement(sF12)) | ~member(X0,sF9)) ) | ~spl19_326), 83.94/12.25 inference(subsumption_resolution,[],[f59697,f162])). 83.94/12.25 tff(f59697,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | ~member(X0,complement(sF12)) | member(X0,empty_set)) ) | ~spl19_326), 83.94/12.25 inference(superposition,[],[f46,f59580])). 83.94/12.25 tff(f59580,plain,( 83.94/12.25 empty_set = intersection(sF9,complement(sF12)) | ~spl19_326), 83.94/12.25 inference(avatar_component_clause,[],[f59579])). 83.94/12.25 tff(f291010,plain,( 83.94/12.25 spl19_873 | ~spl19_10 | ~spl19_15 | ~spl19_18 | spl19_147 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f278951,f276252,f52209,f158,f146,f126,f263830])). 83.94/12.25 tff(f278951,plain,( 83.94/12.25 empty_set = intersection(sF13,sF12) | (~spl19_10 | ~spl19_15 | ~spl19_18 | spl19_147 | ~spl19_970)), 83.94/12.25 inference(subsumption_resolution,[],[f278949,f84082])). 83.94/12.25 tff(f278949,plain,( 83.94/12.25 empty_set = intersection(sF13,sF12) | member(sK7,sF18) | (~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f278942])). 83.94/12.25 tff(f278942,plain,( 83.94/12.25 empty_set = intersection(sF13,sF12) | member(sK7,sF18) | empty_set = intersection(sF13,sF12) | (~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(superposition,[],[f278818,f4861])). 83.94/12.25 tff(f290964,plain,( 83.94/12.25 spl19_872 | ~spl19_10 | ~spl19_15 | ~spl19_18 | spl19_147 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f278702,f276252,f52209,f158,f146,f126,f262802])). 83.94/12.25 tff(f278702,plain,( 83.94/12.25 empty_set = intersection(sF12,sF13) | (~spl19_10 | ~spl19_15 | ~spl19_18 | spl19_147 | ~spl19_970)), 83.94/12.25 inference(subsumption_resolution,[],[f278695,f84082])). 83.94/12.25 tff(f278695,plain,( 83.94/12.25 member(sK7,sF18) | empty_set = intersection(sF12,sF13) | (~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f278694])). 83.94/12.25 tff(f278694,plain,( 83.94/12.25 empty_set = intersection(sF12,sF13) | empty_set = intersection(sF12,sF13) | member(sK7,sF18) | (~spl19_10 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(superposition,[],[f278657,f4917])). 83.94/12.25 tff(f290820,plain,( 83.94/12.25 spl19_993 | spl19_994 | spl19_995 | ~spl19_7 | ~spl19_8 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f285791,f264,f142,f118,f114,f290818,f290815,f290812])). 83.94/12.25 tff(f290812,plain,( 83.94/12.25 spl19_993 <=> sK1 = sK0(union(sF18,sF10))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_993])])). 83.94/12.25 tff(f290815,plain,( 83.94/12.25 spl19_994 <=> member(sK0(union(sF18,sF10)),sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_994])])). 83.94/12.25 tff(f290818,plain,( 83.94/12.25 spl19_995 <=> empty_set = union(sF18,sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_995])])). 83.94/12.25 tff(f285791,plain,( 83.94/12.25 empty_set = union(sF18,sF10) | member(sK0(union(sF18,sF10)),sK2) | sK1 = sK0(union(sF18,sF10)) | (~spl19_7 | ~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f278629,f272])). 83.94/12.25 tff(f289173,plain,( 83.94/12.25 spl19_990 | spl19_991 | spl19_992 | ~spl19_5 | ~spl19_8 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f285763,f264,f142,f118,f106,f289171,f289168,f289165])). 83.94/12.25 tff(f289165,plain,( 83.94/12.25 spl19_990 <=> sK1 = sK0(union(sF9,sF10))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_990])])). 83.94/12.25 tff(f285763,plain,( 83.94/12.25 empty_set = union(sF9,sF10) | member(sK0(union(sF9,sF10)),sK5) | sK1 = sK0(union(sF9,sF10)) | (~spl19_5 | ~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f278629,f271])). 83.94/12.25 tff(f289141,plain,( 83.94/12.25 spl19_988 | spl19_989 | ~spl19_15 | ~spl19_18 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f289090,f276252,f158,f146,f289139,f289136])). 83.94/12.25 tff(f289136,plain,( 83.94/12.25 spl19_988 <=> empty_set = difference(sF12,sF11)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_988])])). 83.94/12.25 tff(f289090,plain,( 83.94/12.25 member(sK0(difference(sF12,sF11)),sK5) | empty_set = difference(sF12,sF11) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f289079])). 83.94/12.25 tff(f289079,plain,( 83.94/12.25 empty_set = difference(sF12,sF11) | empty_set = difference(sF12,sF11) | member(sK0(difference(sF12,sF11)),sK5) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f278844,f246])). 83.94/12.25 tff(f278844,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(difference(sF12,X0)),sF11) | member(sK0(difference(sF12,X0)),sK5) | empty_set = difference(sF12,X0)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f278796,f351])). 83.94/12.25 tff(f278796,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(difference(sF12,X0)),sF18) | empty_set = difference(sF12,X0)) ) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(subsumption_resolution,[],[f278791,f276271])). 83.94/12.25 tff(f278791,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(difference(sF12,X0)),sF10) | empty_set = difference(sF12,X0) | member(sK0(difference(sF12,X0)),sF18)) ) | (~spl19_15 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f270099,f238])). 83.94/12.25 tff(f270099,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(difference(sF12,X0)),sF11) | empty_set = difference(sF12,X0) | member(sK0(difference(sF12,X0)),sF10)) ) | ~spl19_15), 83.94/12.25 inference(resolution,[],[f350,f245])). 83.94/12.25 tff(f288876,plain,( 83.94/12.25 spl19_878 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f288014,f276252,f158,f146,f114,f265532])). 83.94/12.25 tff(f265532,plain,( 83.94/12.25 spl19_878 <=> empty_set = intersection(complement(sK2),sF12)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_878])])). 83.94/12.25 tff(f288014,plain,( 83.94/12.25 empty_set = intersection(complement(sK2),sF12) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f288003])). 83.94/12.25 tff(f288003,plain,( 83.94/12.25 empty_set = intersection(complement(sK2),sF12) | empty_set = intersection(complement(sK2),sF12) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f278938,f4848])). 83.94/12.25 tff(f288875,plain,( 83.94/12.25 spl19_877 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f286076,f276252,f158,f146,f114,f265344])). 83.94/12.25 tff(f265344,plain,( 83.94/12.25 spl19_877 <=> empty_set = difference(sF12,sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_877])])). 83.94/12.25 tff(f286076,plain,( 83.94/12.25 empty_set = difference(sF12,sK2) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f286073])). 83.94/12.25 tff(f286073,plain,( 83.94/12.25 empty_set = difference(sF12,sK2) | empty_set = difference(sF12,sK2) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f278845,f246])). 83.94/12.25 tff(f278845,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(difference(sF12,X0)),sK2) | empty_set = difference(sF12,X0)) ) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f278796,f272])). 83.94/12.25 tff(f286103,plain,( 83.94/12.25 spl19_67 | spl19_30 | ~spl19_305), 83.94/12.25 inference(avatar_split_clause,[],[f269674,f57322,f359,f1469])). 83.94/12.25 tff(f57322,plain,( 83.94/12.25 spl19_305 <=> empty_set = difference(sF9,sF12)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_305])])). 83.94/12.25 tff(f269674,plain,( 83.94/12.25 empty_set = sF9 | member(sK0(sF9),sF12) | ~spl19_305), 83.94/12.25 inference(resolution,[],[f268971,f59])). 83.94/12.25 tff(f268971,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF12)) ) | ~spl19_305), 83.94/12.25 inference(subsumption_resolution,[],[f57452,f162])). 83.94/12.25 tff(f57452,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,empty_set) | member(X0,sF12) | ~member(X0,sF9)) ) | ~spl19_305), 83.94/12.25 inference(superposition,[],[f61,f57323])). 83.94/12.25 tff(f57323,plain,( 83.94/12.25 empty_set = difference(sF9,sF12) | ~spl19_305), 83.94/12.25 inference(avatar_component_clause,[],[f57322])). 83.94/12.25 tff(f286072,plain,( 83.94/12.25 spl19_987 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_791 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f286000,f276252,f223876,f158,f146,f114,f286070])). 83.94/12.25 tff(f286070,plain,( 83.94/12.25 spl19_987 <=> member(sK0(union(intersection(complement(sF13),sF14),empty_set)),sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_987])])). 83.94/12.25 tff(f223876,plain,( 83.94/12.25 spl19_791 <=> member(sK0(union(intersection(complement(sF13),sF14),empty_set)),sF12)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_791])])). 83.94/12.25 tff(f286000,plain,( 83.94/12.25 member(sK0(union(intersection(complement(sF13),sF14),empty_set)),sK2) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_791 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f285966,f223877])). 83.94/12.25 tff(f223877,plain,( 83.94/12.25 member(sK0(union(intersection(complement(sF13),sF14),empty_set)),sF12) | ~spl19_791), 83.94/12.25 inference(avatar_component_clause,[],[f223876])). 83.94/12.25 tff(f286045,plain,( 83.94/12.25 spl19_986 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_799 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f285999,f276252,f223908,f158,f146,f114,f286043])). 83.94/12.25 tff(f286043,plain,( 83.94/12.25 spl19_986 <=> member(sK0(union(intersection(sF14,complement(sF13)),empty_set)),sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_986])])). 83.94/12.25 tff(f223908,plain,( 83.94/12.25 spl19_799 <=> member(sK0(union(intersection(sF14,complement(sF13)),empty_set)),sF12)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_799])])). 83.94/12.25 tff(f285999,plain,( 83.94/12.25 member(sK0(union(intersection(sF14,complement(sF13)),empty_set)),sK2) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_799 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f285966,f223909])). 83.94/12.25 tff(f223909,plain,( 83.94/12.25 member(sK0(union(intersection(sF14,complement(sF13)),empty_set)),sF12) | ~spl19_799), 83.94/12.25 inference(avatar_component_clause,[],[f223908])). 83.94/12.25 tff(f285810,plain,( 83.94/12.25 spl19_875 | ~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f285807,f276252,f158,f146,f114,f263895])). 83.94/12.25 tff(f263895,plain,( 83.94/12.25 spl19_875 <=> empty_set = intersection(sF12,complement(sK2))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_875])])). 83.94/12.25 tff(f285807,plain,( 83.94/12.25 empty_set = intersection(sF12,complement(sK2)) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f285795])). 83.94/12.25 tff(f285795,plain,( 83.94/12.25 empty_set = intersection(sF12,complement(sK2)) | empty_set = intersection(sF12,complement(sK2)) | (~spl19_7 | ~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f278689,f4904])). 83.94/12.25 tff(f283881,plain,( 83.94/12.25 spl19_873 | ~spl19_10 | ~spl19_15 | spl19_271 | spl19_972), 83.94/12.25 inference(avatar_split_clause,[],[f278821,f276607,f55520,f146,f126,f263830])). 83.94/12.25 tff(f278821,plain,( 83.94/12.25 empty_set = intersection(sF13,sF12) | (~spl19_10 | ~spl19_15 | spl19_271 | spl19_972)), 83.94/12.25 inference(subsumption_resolution,[],[f278820,f97687])). 83.94/12.25 tff(f278820,plain,( 83.94/12.25 member(sK7,sF11) | empty_set = intersection(sF13,sF12) | (~spl19_10 | ~spl19_15 | spl19_972)), 83.94/12.25 inference(subsumption_resolution,[],[f278815,f276608])). 83.94/12.25 tff(f276608,plain,( 83.94/12.25 ~member(sK7,sF10) | spl19_972), 83.94/12.25 inference(avatar_component_clause,[],[f276607])). 83.94/12.25 tff(f278952,plain,( 83.94/12.25 spl19_758 | ~spl19_15 | ~spl19_18 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f278947,f276252,f158,f146,f211130])). 83.94/12.25 tff(f211130,plain,( 83.94/12.25 spl19_758 <=> empty_set = intersection(complement(sF18),sF12)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_758])])). 83.94/12.25 tff(f278947,plain,( 83.94/12.25 empty_set = intersection(complement(sF18),sF12) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f278934])). 83.94/12.25 tff(f278934,plain,( 83.94/12.25 empty_set = intersection(complement(sF18),sF12) | empty_set = intersection(complement(sF18),sF12) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f278818,f4848])). 83.94/12.25 tff(f278871,plain,( 83.94/12.25 spl19_746 | ~spl19_15 | ~spl19_18 | ~spl19_970), 83.94/12.25 inference(avatar_split_clause,[],[f278847,f276252,f158,f146,f204981])). 83.94/12.25 tff(f204981,plain,( 83.94/12.25 spl19_746 <=> empty_set = difference(sF12,sF18)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_746])])). 83.94/12.25 tff(f278847,plain,( 83.94/12.25 empty_set = difference(sF12,sF18) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(duplicate_literal_removal,[],[f278840])). 83.94/12.25 tff(f278840,plain,( 83.94/12.25 empty_set = difference(sF12,sF18) | empty_set = difference(sF12,sF18) | (~spl19_15 | ~spl19_18 | ~spl19_970)), 83.94/12.25 inference(resolution,[],[f278796,f246])). 83.94/12.25 tff(f278783,plain,( 83.94/12.25 spl19_872 | ~spl19_10 | ~spl19_15 | spl19_271 | spl19_972), 83.94/12.25 inference(avatar_split_clause,[],[f278659,f276607,f55520,f146,f126,f262802])). 83.94/12.25 tff(f278659,plain,( 83.94/12.25 empty_set = intersection(sF12,sF13) | (~spl19_10 | ~spl19_15 | spl19_271 | spl19_972)), 83.94/12.25 inference(subsumption_resolution,[],[f278658,f97687])). 83.94/12.25 tff(f278658,plain,( 83.94/12.25 empty_set = intersection(sF12,sF13) | member(sK7,sF11) | (~spl19_10 | ~spl19_15 | spl19_972)), 83.94/12.25 inference(subsumption_resolution,[],[f278650,f276608])). 83.94/12.25 tff(f278650,plain,( 83.94/12.25 empty_set = intersection(sF12,sF13) | member(sK7,sF10) | member(sK7,sF11) | (~spl19_10 | ~spl19_15)), 83.94/12.25 inference(duplicate_literal_removal,[],[f278649])). 83.94/12.25 tff(f278649,plain,( 83.94/12.25 member(sK7,sF11) | member(sK7,sF10) | empty_set = intersection(sF12,sF13) | empty_set = intersection(sF12,sF13) | (~spl19_10 | ~spl19_15)), 83.94/12.25 inference(superposition,[],[f270092,f4917])). 83.94/12.25 tff(f278628,plain,( 83.94/12.25 spl19_985 | ~spl19_13 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f277801,f264,f142,f138,f278626])). 83.94/12.25 tff(f278626,plain,( 83.94/12.25 spl19_985 <=> empty_set = intersection(complement(sF9),sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_985])])). 83.94/12.25 tff(f277801,plain,( 83.94/12.25 empty_set = intersection(complement(sF9),sF10) | (~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277787])). 83.94/12.25 tff(f277787,plain,( 83.94/12.25 empty_set = intersection(complement(sF9),sF10) | empty_set = intersection(complement(sF9),sF10) | (~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f276654,f4848])). 83.94/12.25 tff(f278514,plain,( 83.94/12.25 spl19_984 | ~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26 | ~spl19_351), 83.94/12.25 inference(avatar_split_clause,[],[f278503,f66621,f264,f142,f138,f106,f278512])). 83.94/12.25 tff(f278512,plain,( 83.94/12.25 spl19_984 <=> empty_set = intersection(complement(sK2),sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_984])])). 83.94/12.25 tff(f278503,plain,( 83.94/12.25 empty_set = intersection(complement(sK2),sF10) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26 | ~spl19_351)), 83.94/12.25 inference(duplicate_literal_removal,[],[f278494])). 83.94/12.25 tff(f278494,plain,( 83.94/12.25 empty_set = intersection(complement(sK2),sF10) | empty_set = intersection(complement(sK2),sF10) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26 | ~spl19_351)), 83.94/12.25 inference(resolution,[],[f277870,f4848])). 83.94/12.25 tff(f277870,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF10)),sK2) | empty_set = intersection(X0,sF10)) ) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26 | ~spl19_351)), 83.94/12.25 inference(resolution,[],[f277789,f66648])). 83.94/12.25 tff(f278471,plain,( 83.94/12.25 spl19_913 | ~spl19_62 | ~spl19_332), 83.94/12.25 inference(avatar_split_clause,[],[f278445,f62824,f1284,f271677])). 83.94/12.25 tff(f271677,plain,( 83.94/12.25 spl19_913 <=> member(sK0(sK4),sF8)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_913])])). 83.94/12.25 tff(f62824,plain,( 83.94/12.25 spl19_332 <=> empty_set = intersection(complement(sF8),sF9)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_332])])). 83.94/12.25 tff(f278445,plain,( 83.94/12.25 member(sK0(sK4),sF8) | (~spl19_62 | ~spl19_332)), 83.94/12.25 inference(resolution,[],[f278410,f1285])). 83.94/12.25 tff(f278410,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF8)) ) | ~spl19_332), 83.94/12.25 inference(resolution,[],[f268940,f57])). 83.94/12.25 tff(f268940,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,complement(sF8)) | ~member(X0,sF9)) ) | ~spl19_332), 83.94/12.25 inference(subsumption_resolution,[],[f63040,f162])). 83.94/12.25 tff(f63040,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,complement(sF8)) | member(X0,empty_set) | ~member(X0,sF9)) ) | ~spl19_332), 83.94/12.25 inference(superposition,[],[f46,f62825])). 83.94/12.25 tff(f62825,plain,( 83.94/12.25 empty_set = intersection(complement(sF8),sF9) | ~spl19_332), 83.94/12.25 inference(avatar_component_clause,[],[f62824])). 83.94/12.25 tff(f278383,plain,( 83.94/12.25 spl19_746 | ~spl19_744), 83.94/12.25 inference(avatar_split_clause,[],[f278360,f204923,f204981])). 83.94/12.25 tff(f204923,plain,( 83.94/12.25 spl19_744 <=> empty_set = difference(difference(sF12,sF18),empty_set)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_744])])). 83.94/12.25 tff(f278360,plain,( 83.94/12.25 empty_set = difference(sF12,sF18) | ~spl19_744), 83.94/12.25 inference(resolution,[],[f278328,f59])). 83.94/12.25 tff(f278328,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,difference(sF12,sF18))) ) | ~spl19_744), 83.94/12.25 inference(subsumption_resolution,[],[f278326,f162])). 83.94/12.25 tff(f278326,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,difference(sF12,sF18)) | member(X0,empty_set)) ) | ~spl19_744), 83.94/12.25 inference(duplicate_literal_removal,[],[f278317])). 83.94/12.25 tff(f278317,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(sF12,sF18)) | member(X0,empty_set)) ) | ~spl19_744), 83.94/12.25 inference(superposition,[],[f61,f204924])). 83.94/12.25 tff(f204924,plain,( 83.94/12.25 empty_set = difference(difference(sF12,sF18),empty_set) | ~spl19_744), 83.94/12.25 inference(avatar_component_clause,[],[f204923])). 83.94/12.25 tff(f278345,plain,( 83.94/12.25 spl19_983 | ~spl19_13 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f276643,f264,f142,f138,f278343])). 83.94/12.25 tff(f278343,plain,( 83.94/12.25 spl19_983 <=> empty_set = intersection(sF10,complement(sF9))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_983])])). 83.94/12.25 tff(f276643,plain,( 83.94/12.25 empty_set = intersection(sF10,complement(sF9)) | (~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276628])). 83.94/12.25 tff(f276628,plain,( 83.94/12.25 empty_set = intersection(sF10,complement(sF9)) | empty_set = intersection(sF10,complement(sF9)) | (~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f276020,f4904])). 83.94/12.25 tff(f278259,plain,( 83.94/12.25 spl19_982 | spl19_916 | ~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_938), 83.94/12.25 inference(avatar_split_clause,[],[f272759,f272658,f158,f138,f106,f271765,f278257])). 83.94/12.25 tff(f278257,plain,( 83.94/12.25 spl19_982 <=> ! [X0 : set] : ~member(sK0(sF10),X0)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_982])])). 83.94/12.25 tff(f272658,plain,( 83.94/12.25 spl19_938 <=> member(sK0(sF10),sF8)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_938])])). 83.94/12.25 tff(f272759,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(sF10),X0) | member(sK0(sF10),sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_938)), 83.94/12.25 inference(resolution,[],[f272659,f161776])). 83.94/12.25 tff(f272659,plain,( 83.94/12.25 member(sK0(sF10),sF8) | ~spl19_938), 83.94/12.25 inference(avatar_component_clause,[],[f272658])). 83.94/12.25 tff(f278255,plain,( 83.94/12.25 spl19_930 | ~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18 | ~spl19_41 | ~spl19_938), 83.94/12.25 inference(avatar_split_clause,[],[f272762,f272658,f488,f158,f118,f114,f106,f272156])). 83.94/12.25 tff(f272762,plain,( 83.94/12.25 member(sK0(sF10),sK2) | (~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18 | ~spl19_41 | ~spl19_938)), 83.94/12.25 inference(resolution,[],[f272659,f270370])). 83.94/12.25 tff(f270370,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF8) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18 | ~spl19_41)), 83.94/12.25 inference(subsumption_resolution,[],[f270367,f489])). 83.94/12.25 tff(f270367,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(sK1,sF9) | ~member(X0,sF8) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f270279,f119])). 83.94/12.25 tff(f270279,plain,( 83.94/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X1,sK2) | ~member(X0,sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.25 inference(subsumption_resolution,[],[f270270,f162])). 83.94/12.25 tff(f270270,plain,( 83.94/12.25 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | ~member(X0,sF9) | member(X1,sK2) | member(X1,empty_set)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f61,f269842])). 83.94/12.25 tff(f269842,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = difference(singleton(X0),sK2) | ~member(X0,sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f269840])). 83.94/12.25 tff(f269840,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | empty_set = difference(singleton(X0),sK2) | empty_set = difference(singleton(X0),sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f161717,f4987])). 83.94/12.25 tff(f161717,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(difference(X0,sK2)),sF9) | empty_set = difference(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f161226,f59])). 83.94/12.25 tff(f278254,plain,( 83.94/12.25 spl19_981 | ~spl19_13 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f277063,f264,f142,f138,f278252])). 83.94/12.25 tff(f278252,plain,( 83.94/12.25 spl19_981 <=> empty_set = difference(sF10,sF9)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_981])])). 83.94/12.25 tff(f277063,plain,( 83.94/12.25 empty_set = difference(sF10,sF9) | (~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277051])). 83.94/12.25 tff(f277051,plain,( 83.94/12.25 empty_set = difference(sF10,sF9) | empty_set = difference(sF10,sF9) | (~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f276219,f246])). 83.94/12.25 tff(f276219,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(difference(sF10,X0)),sF9) | empty_set = difference(sF10,X0)) ) | (~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f269325,f235])). 83.94/12.25 tff(f278250,plain,( 83.94/12.25 spl19_916 | ~spl19_18 | ~spl19_939), 83.94/12.25 inference(avatar_split_clause,[],[f272884,f272848,f158,f271765])). 83.94/12.25 tff(f272884,plain,( 83.94/12.25 member(sK0(sF10),sF18) | (~spl19_18 | ~spl19_939)), 83.94/12.25 inference(resolution,[],[f272849,f243])). 83.94/12.25 tff(f278249,plain,( 83.94/12.25 spl19_916 | ~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_938), 83.94/12.25 inference(avatar_split_clause,[],[f272761,f272658,f158,f138,f106,f271765])). 83.94/12.25 tff(f272761,plain,( 83.94/12.25 member(sK0(sF10),sF18) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_938)), 83.94/12.25 inference(resolution,[],[f272659,f269374])). 83.94/12.25 tff(f278248,plain,( 83.94/12.25 spl19_930 | ~spl19_351 | ~spl19_939), 83.94/12.25 inference(avatar_split_clause,[],[f272883,f272848,f66621,f272156])). 83.94/12.25 tff(f272883,plain,( 83.94/12.25 member(sK0(sF10),sK2) | (~spl19_351 | ~spl19_939)), 83.94/12.25 inference(resolution,[],[f272849,f66648])). 83.94/12.25 tff(f278247,plain,( 83.94/12.25 spl19_913 | ~spl19_62 | ~spl19_331), 83.94/12.25 inference(avatar_split_clause,[],[f278221,f62195,f1284,f271677])). 83.94/12.25 tff(f62195,plain,( 83.94/12.25 spl19_331 <=> empty_set = intersection(sF9,complement(sF8))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_331])])). 83.94/12.25 tff(f278221,plain,( 83.94/12.25 member(sK0(sK4),sF8) | (~spl19_62 | ~spl19_331)), 83.94/12.25 inference(resolution,[],[f278185,f1285])). 83.94/12.25 tff(f278185,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF8)) ) | ~spl19_331), 83.94/12.25 inference(resolution,[],[f62392,f57])). 83.94/12.25 tff(f62392,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,complement(sF8)) | ~member(X0,sF9)) ) | ~spl19_331), 83.94/12.25 inference(subsumption_resolution,[],[f62369,f162])). 83.94/12.25 tff(f62369,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,complement(sF8)) | ~member(X0,sF9) | member(X0,empty_set)) ) | ~spl19_331), 83.94/12.25 inference(superposition,[],[f46,f62196])). 83.94/12.25 tff(f62196,plain,( 83.94/12.25 empty_set = intersection(sF9,complement(sF8)) | ~spl19_331), 83.94/12.25 inference(avatar_component_clause,[],[f62195])). 83.94/12.25 tff(f278096,plain,( 83.94/12.25 spl19_975 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_26 | spl19_144), 83.94/12.25 inference(avatar_split_clause,[],[f277810,f51977,f264,f142,f138,f122,f276709])). 83.94/12.25 tff(f51977,plain,( 83.94/12.25 spl19_144 <=> member(sK6,sF9)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_144])])). 83.94/12.25 tff(f277810,plain,( 83.94/12.25 empty_set = intersection(sF11,sF10) | (~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_26 | spl19_144)), 83.94/12.25 inference(subsumption_resolution,[],[f277802,f51978])). 83.94/12.25 tff(f51978,plain,( 83.94/12.25 ~member(sK6,sF9) | spl19_144), 83.94/12.25 inference(avatar_component_clause,[],[f51977])). 83.94/12.25 tff(f277802,plain,( 83.94/12.25 member(sK6,sF9) | empty_set = intersection(sF11,sF10) | (~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277797])). 83.94/12.25 tff(f277797,plain,( 83.94/12.25 empty_set = intersection(sF11,sF10) | member(sK6,sF9) | empty_set = intersection(sF11,sF10) | (~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f276654,f4857])). 83.94/12.25 tff(f278023,plain,( 83.94/12.25 spl19_980 | ~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26 | ~spl19_351), 83.94/12.25 inference(avatar_split_clause,[],[f277981,f66621,f264,f142,f138,f106,f278021])). 83.94/12.25 tff(f278021,plain,( 83.94/12.25 spl19_980 <=> empty_set = intersection(sF10,complement(sK2))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_980])])). 83.94/12.25 tff(f277981,plain,( 83.94/12.25 empty_set = intersection(sF10,complement(sK2)) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26 | ~spl19_351)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277973])). 83.94/12.25 tff(f277973,plain,( 83.94/12.25 empty_set = intersection(sF10,complement(sK2)) | empty_set = intersection(sF10,complement(sK2)) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_26 | ~spl19_351)), 83.94/12.25 inference(resolution,[],[f276757,f4904])). 83.94/12.25 tff(f278019,plain,( 83.94/12.25 spl19_967 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_26 | spl19_161), 83.94/12.25 inference(avatar_split_clause,[],[f277809,f52588,f264,f142,f138,f126,f275966])). 83.94/12.25 tff(f52588,plain,( 83.94/12.25 spl19_161 <=> member(sK7,sF9)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_161])])). 83.94/12.25 tff(f277809,plain,( 83.94/12.25 empty_set = intersection(sF13,sF10) | (~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_26 | spl19_161)), 83.94/12.25 inference(subsumption_resolution,[],[f277805,f52589])). 83.94/12.25 tff(f52589,plain,( 83.94/12.25 ~member(sK7,sF9) | spl19_161), 83.94/12.25 inference(avatar_component_clause,[],[f52588])). 83.94/12.25 tff(f277805,plain,( 83.94/12.25 empty_set = intersection(sF13,sF10) | member(sK7,sF9) | (~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277798])). 83.94/12.25 tff(f277798,plain,( 83.94/12.25 member(sK7,sF9) | empty_set = intersection(sF13,sF10) | empty_set = intersection(sF13,sF10) | (~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f276654,f4861])). 83.94/12.25 tff(f278018,plain,( 83.94/12.25 spl19_966 | ~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_26 | spl19_161), 83.94/12.25 inference(avatar_split_clause,[],[f276650,f52588,f264,f142,f138,f126,f275933])). 83.94/12.25 tff(f276650,plain,( 83.94/12.25 empty_set = intersection(sF10,sF13) | (~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_26 | spl19_161)), 83.94/12.25 inference(subsumption_resolution,[],[f276640,f52589])). 83.94/12.25 tff(f276640,plain,( 83.94/12.25 member(sK7,sF9) | empty_set = intersection(sF10,sF13) | (~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276639])). 83.94/12.25 tff(f276639,plain,( 83.94/12.25 empty_set = intersection(sF10,sF13) | empty_set = intersection(sF10,sF13) | member(sK7,sF9) | (~spl19_10 | ~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f276020,f4917])). 83.94/12.25 tff(f278017,plain,( 83.94/12.25 spl19_969 | ~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_26 | spl19_144), 83.94/12.25 inference(avatar_split_clause,[],[f276649,f51977,f264,f142,f138,f122,f276159])). 83.94/12.25 tff(f276649,plain,( 83.94/12.25 empty_set = intersection(sF10,sF11) | (~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_26 | spl19_144)), 83.94/12.25 inference(subsumption_resolution,[],[f276647,f51978])). 83.94/12.25 tff(f276647,plain,( 83.94/12.25 member(sK6,sF9) | empty_set = intersection(sF10,sF11) | (~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276638])). 83.94/12.25 tff(f276638,plain,( 83.94/12.25 empty_set = intersection(sF10,sF11) | member(sK6,sF9) | empty_set = intersection(sF10,sF11) | (~spl19_9 | ~spl19_13 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f276020,f4913])). 83.94/12.25 tff(f278016,plain,( 83.94/12.25 ~spl19_979 | ~spl19_507 | ~spl19_976), 83.94/12.25 inference(avatar_split_clause,[],[f277991,f276890,f105179,f278014])). 83.94/12.25 tff(f278014,plain,( 83.94/12.25 spl19_979 <=> member(sK0(complement(sK2)),sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_979])])). 83.94/12.25 tff(f105179,plain,( 83.94/12.25 spl19_507 <=> member(sK0(complement(sK2)),complement(sF18))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_507])])). 83.94/12.25 tff(f276890,plain,( 83.94/12.25 spl19_976 <=> empty_set = intersection(sF10,complement(sF18))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_976])])). 83.94/12.25 tff(f277991,plain,( 83.94/12.25 ~member(sK0(complement(sK2)),sF10) | (~spl19_507 | ~spl19_976)), 83.94/12.25 inference(resolution,[],[f276904,f105180])). 83.94/12.25 tff(f105180,plain,( 83.94/12.25 member(sK0(complement(sK2)),complement(sF18)) | ~spl19_507), 83.94/12.25 inference(avatar_component_clause,[],[f105179])). 83.94/12.25 tff(f276904,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,complement(sF18)) | ~member(X0,sF10)) ) | ~spl19_976), 83.94/12.25 inference(subsumption_resolution,[],[f276893,f162])). 83.94/12.25 tff(f276893,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,complement(sF18)) | ~member(X0,sF10) | member(X0,empty_set)) ) | ~spl19_976), 83.94/12.25 inference(superposition,[],[f46,f276891])). 83.94/12.25 tff(f276891,plain,( 83.94/12.25 empty_set = intersection(sF10,complement(sF18)) | ~spl19_976), 83.94/12.25 inference(avatar_component_clause,[],[f276890])). 83.94/12.25 tff(f277912,plain,( 83.94/12.25 spl19_978 | ~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f277906,f264,f158,f142,f138,f106,f277910])). 83.94/12.25 tff(f277910,plain,( 83.94/12.25 spl19_978 <=> empty_set = intersection(complement(sF18),sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_978])])). 83.94/12.25 tff(f277906,plain,( 83.94/12.25 empty_set = intersection(complement(sF18),sF10) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277889])). 83.94/12.25 tff(f277889,plain,( 83.94/12.25 empty_set = intersection(complement(sF18),sF10) | empty_set = intersection(complement(sF18),sF10) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f277871,f4848])). 83.94/12.25 tff(f277580,plain,( 83.94/12.25 spl19_977 | ~spl19_14 | ~spl19_26 | ~spl19_353), 83.94/12.25 inference(avatar_split_clause,[],[f277574,f66743,f264,f142,f277578])). 83.94/12.25 tff(f277578,plain,( 83.94/12.25 spl19_977 <=> empty_set = intersection(complement(sK5),sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_977])])). 83.94/12.25 tff(f277574,plain,( 83.94/12.25 empty_set = intersection(complement(sK5),sF10) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(duplicate_literal_removal,[],[f277558])). 83.94/12.25 tff(f277558,plain,( 83.94/12.25 empty_set = intersection(complement(sK5),sF10) | empty_set = intersection(complement(sK5),sF10) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(resolution,[],[f276657,f4848])). 83.94/12.25 tff(f276892,plain,( 83.94/12.25 spl19_976 | ~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f276852,f264,f158,f142,f138,f106,f276890])). 83.94/12.25 tff(f276852,plain,( 83.94/12.25 empty_set = intersection(sF10,complement(sF18)) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276842])). 83.94/12.25 tff(f276842,plain,( 83.94/12.25 empty_set = intersection(sF10,complement(sF18)) | empty_set = intersection(sF10,complement(sF18)) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f276758,f4904])). 83.94/12.25 tff(f276818,plain,( 83.94/12.25 spl19_967 | ~spl19_10 | ~spl19_14 | ~spl19_26 | spl19_268), 83.94/12.25 inference(avatar_split_clause,[],[f276673,f55510,f264,f142,f126,f275966])). 83.94/12.25 tff(f55510,plain,( 83.94/12.25 spl19_268 <=> member(sK7,sF8)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_268])])). 83.94/12.25 tff(f276673,plain,( 83.94/12.25 empty_set = intersection(sF13,sF10) | (~spl19_10 | ~spl19_14 | ~spl19_26 | spl19_268)), 83.94/12.25 inference(subsumption_resolution,[],[f276665,f97406])). 83.94/12.25 tff(f97406,plain,( 83.94/12.25 ~member(sK7,sF8) | spl19_268), 83.94/12.25 inference(avatar_component_clause,[],[f55510])). 83.94/12.25 tff(f276665,plain,( 83.94/12.25 member(sK7,sF8) | empty_set = intersection(sF13,sF10) | (~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276663])). 83.94/12.25 tff(f276663,plain,( 83.94/12.25 empty_set = intersection(sF13,sF10) | member(sK7,sF8) | empty_set = intersection(sF13,sF10) | (~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f269329,f4861])). 83.94/12.25 tff(f276711,plain,( 83.94/12.25 spl19_975 | ~spl19_9 | ~spl19_14 | ~spl19_26 | spl19_237), 83.94/12.25 inference(avatar_split_clause,[],[f276672,f54773,f264,f142,f122,f276709])). 83.94/12.25 tff(f276672,plain,( 83.94/12.25 empty_set = intersection(sF11,sF10) | (~spl19_9 | ~spl19_14 | ~spl19_26 | spl19_237)), 83.94/12.25 inference(subsumption_resolution,[],[f276667,f97492])). 83.94/12.25 tff(f276667,plain,( 83.94/12.25 member(sK6,sF8) | empty_set = intersection(sF11,sF10) | (~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276662])). 83.94/12.25 tff(f276662,plain,( 83.94/12.25 member(sK6,sF8) | empty_set = intersection(sF11,sF10) | empty_set = intersection(sF11,sF10) | (~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f269329,f4857])). 83.94/12.25 tff(f276625,plain,( 83.94/12.25 spl19_974 | ~spl19_14 | ~spl19_26 | ~spl19_353), 83.94/12.25 inference(avatar_split_clause,[],[f276620,f66743,f264,f142,f276623])). 83.94/12.25 tff(f276623,plain,( 83.94/12.25 spl19_974 <=> empty_set = difference(sF10,sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_974])])). 83.94/12.25 tff(f276620,plain,( 83.94/12.25 empty_set = difference(sF10,sK5) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276614])). 83.94/12.25 tff(f276614,plain,( 83.94/12.25 empty_set = difference(sF10,sK5) | empty_set = difference(sF10,sK5) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(resolution,[],[f276222,f246])). 83.94/12.25 tff(f276222,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(difference(sF10,X0)),sK5) | empty_set = difference(sF10,X0)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(resolution,[],[f269325,f268979])). 83.94/12.25 tff(f276613,plain,( 83.94/12.25 ~spl19_973 | spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_58 | ~spl19_177 | ~spl19_353), 83.94/12.25 inference(avatar_split_clause,[],[f276589,f66743,f53427,f685,f264,f181,f142,f122,f102,f276611])). 83.94/12.25 tff(f276611,plain,( 83.94/12.25 spl19_973 <=> member(sK6,sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_973])])). 83.94/12.25 tff(f685,plain,( 83.94/12.25 spl19_58 <=> sK6 = sK0(sF11)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_58])])). 83.94/12.25 tff(f276589,plain,( 83.94/12.25 ~member(sK6,sF10) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_58 | ~spl19_177 | ~spl19_353)), 83.94/12.25 inference(forward_demodulation,[],[f276588,f686])). 83.94/12.25 tff(f686,plain,( 83.94/12.25 sK6 = sK0(sF11) | ~spl19_58), 83.94/12.25 inference(avatar_component_clause,[],[f685])). 83.94/12.25 tff(f276588,plain,( 83.94/12.25 ~member(sK0(sF11),sF10) | (spl19_4 | ~spl19_9 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_177 | ~spl19_353)), 83.94/12.25 inference(subsumption_resolution,[],[f276584,f103])). 83.94/12.25 tff(f276584,plain,( 83.94/12.25 member(sK6,sK5) | ~member(sK0(sF11),sF10) | (~spl19_9 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_177 | ~spl19_353)), 83.94/12.25 inference(superposition,[],[f276373,f123])). 83.94/12.25 tff(f276373,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(sK0(singleton(X0)),sF10) | member(X0,sK5)) ) | (~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_177 | ~spl19_353)), 83.94/12.25 inference(subsumption_resolution,[],[f276348,f268950])). 83.94/12.25 tff(f276348,plain,( 83.94/12.25 ( ! [X0 : element] : (singleton(X0) = empty_set | ~member(sK0(singleton(X0)),sF10) | member(X0,sK5)) ) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(resolution,[],[f276157,f59])). 83.94/12.25 tff(f276609,plain,( 83.94/12.25 ~spl19_972 | ~spl19_10 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_60 | spl19_166 | ~spl19_177 | ~spl19_353), 83.94/12.25 inference(avatar_split_clause,[],[f276587,f66743,f53427,f53008,f1019,f264,f181,f142,f126,f276607])). 83.94/12.25 tff(f276587,plain,( 83.94/12.25 ~member(sK7,sF10) | (~spl19_10 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_60 | spl19_166 | ~spl19_177 | ~spl19_353)), 83.94/12.25 inference(forward_demodulation,[],[f276586,f1020])). 83.94/12.25 tff(f276586,plain,( 83.94/12.25 ~member(sK0(sF13),sF10) | (~spl19_10 | ~spl19_14 | ~spl19_20 | ~spl19_26 | spl19_166 | ~spl19_177 | ~spl19_353)), 83.94/12.25 inference(subsumption_resolution,[],[f276582,f53009])). 83.94/12.25 tff(f276582,plain,( 83.94/12.25 member(sK7,sK5) | ~member(sK0(sF13),sF10) | (~spl19_10 | ~spl19_14 | ~spl19_20 | ~spl19_26 | ~spl19_177 | ~spl19_353)), 83.94/12.25 inference(superposition,[],[f276373,f127])). 83.94/12.25 tff(f276280,plain,( 83.94/12.25 spl19_971 | ~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f276229,f264,f158,f142,f138,f114,f106,f276278])). 83.94/12.25 tff(f276278,plain,( 83.94/12.25 spl19_971 <=> empty_set = difference(sF10,sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_971])])). 83.94/12.25 tff(f276229,plain,( 83.94/12.25 empty_set = difference(sF10,sK2) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276214])). 83.94/12.25 tff(f276214,plain,( 83.94/12.25 empty_set = difference(sF10,sK2) | empty_set = difference(sF10,sK2) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f269325,f272386])). 83.94/12.25 tff(f272386,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(difference(X0,sK2)),sF8) | empty_set = difference(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f272282,f58])). 83.94/12.25 tff(f276254,plain,( 83.94/12.25 spl19_970 | ~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f276225,f264,f158,f142,f138,f106,f276252])). 83.94/12.25 tff(f276225,plain,( 83.94/12.25 empty_set = difference(sF10,sF18) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276213])). 83.94/12.25 tff(f276213,plain,( 83.94/12.25 empty_set = difference(sF10,sF18) | empty_set = difference(sF10,sF18) | (~spl19_5 | ~spl19_13 | ~spl19_14 | ~spl19_18 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f269325,f161777])). 83.94/12.25 tff(f161777,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(difference(X0,sF18)),sF8) | empty_set = difference(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f161384,f59])). 83.94/12.25 tff(f276161,plain,( 83.94/12.25 spl19_969 | ~spl19_9 | ~spl19_14 | ~spl19_26 | spl19_237), 83.94/12.25 inference(avatar_split_clause,[],[f276037,f54773,f264,f142,f122,f276159])). 83.94/12.25 tff(f276037,plain,( 83.94/12.25 empty_set = intersection(sF10,sF11) | (~spl19_9 | ~spl19_14 | ~spl19_26 | spl19_237)), 83.94/12.25 inference(subsumption_resolution,[],[f276033,f97492])). 83.94/12.25 tff(f276033,plain,( 83.94/12.25 empty_set = intersection(sF10,sF11) | member(sK6,sF8) | (~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276028])). 83.94/12.25 tff(f276028,plain,( 83.94/12.25 empty_set = intersection(sF10,sF11) | empty_set = intersection(sF10,sF11) | member(sK6,sF8) | (~spl19_9 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f269318,f4913])). 83.94/12.25 tff(f276138,plain,( 83.94/12.25 spl19_966 | ~spl19_10 | ~spl19_14 | ~spl19_26 | spl19_268), 83.94/12.25 inference(avatar_split_clause,[],[f276036,f55510,f264,f142,f126,f275933])). 83.94/12.25 tff(f276036,plain,( 83.94/12.25 empty_set = intersection(sF10,sF13) | (~spl19_10 | ~spl19_14 | ~spl19_26 | spl19_268)), 83.94/12.25 inference(subsumption_resolution,[],[f276034,f97406])). 83.94/12.25 tff(f276034,plain,( 83.94/12.25 member(sK7,sF8) | empty_set = intersection(sF10,sF13) | (~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276029])). 83.94/12.25 tff(f276029,plain,( 83.94/12.25 empty_set = intersection(sF10,sF13) | member(sK7,sF8) | empty_set = intersection(sF10,sF13) | (~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(superposition,[],[f269318,f4917])). 83.94/12.25 tff(f276083,plain,( 83.94/12.25 spl19_968 | ~spl19_14 | ~spl19_26 | ~spl19_353), 83.94/12.25 inference(avatar_split_clause,[],[f276073,f66743,f264,f142,f276081])). 83.94/12.25 tff(f276081,plain,( 83.94/12.25 spl19_968 <=> empty_set = intersection(sF10,complement(sK5))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_968])])). 83.94/12.25 tff(f276073,plain,( 83.94/12.25 empty_set = intersection(sF10,complement(sK5)) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(duplicate_literal_removal,[],[f276063])). 83.94/12.25 tff(f276063,plain,( 83.94/12.25 empty_set = intersection(sF10,complement(sK5)) | empty_set = intersection(sF10,complement(sK5)) | (~spl19_14 | ~spl19_26 | ~spl19_353)), 83.94/12.25 inference(resolution,[],[f276023,f4904])). 83.94/12.25 tff(f275968,plain,( 83.94/12.25 spl19_967 | ~spl19_10 | ~spl19_15 | spl19_278), 83.94/12.25 inference(avatar_split_clause,[],[f275964,f55900,f146,f126,f275966])). 83.94/12.25 tff(f275964,plain,( 83.94/12.25 empty_set = intersection(sF13,sF10) | (~spl19_10 | ~spl19_15 | spl19_278)), 83.94/12.25 inference(subsumption_resolution,[],[f275963,f234593])). 83.94/12.25 tff(f275963,plain,( 83.94/12.25 empty_set = intersection(sF13,sF10) | member(sK7,sF12) | (~spl19_10 | ~spl19_15)), 83.94/12.25 inference(duplicate_literal_removal,[],[f275955])). 83.94/12.25 tff(f275955,plain,( 83.94/12.25 empty_set = intersection(sF13,sF10) | member(sK7,sF12) | empty_set = intersection(sF13,sF10) | (~spl19_10 | ~spl19_15)), 83.94/12.25 inference(superposition,[],[f269307,f4861])). 83.94/12.25 tff(f269307,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF10)),sF12) | empty_set = intersection(X0,sF10)) ) | ~spl19_15), 83.94/12.25 inference(resolution,[],[f242,f234])). 83.94/12.25 tff(f275935,plain,( 83.94/12.25 spl19_966 | ~spl19_10 | ~spl19_15 | spl19_278), 83.94/12.25 inference(avatar_split_clause,[],[f275931,f55900,f146,f126,f275933])). 83.94/12.25 tff(f275931,plain,( 83.94/12.25 empty_set = intersection(sF10,sF13) | (~spl19_10 | ~spl19_15 | spl19_278)), 83.94/12.25 inference(subsumption_resolution,[],[f275925,f234593])). 83.94/12.25 tff(f275925,plain,( 83.94/12.25 member(sK7,sF12) | empty_set = intersection(sF10,sF13) | (~spl19_10 | ~spl19_15)), 83.94/12.25 inference(duplicate_literal_removal,[],[f275924])). 83.94/12.25 tff(f275924,plain,( 83.94/12.25 member(sK7,sF12) | empty_set = intersection(sF10,sF13) | empty_set = intersection(sF10,sF13) | (~spl19_10 | ~spl19_15)), 83.94/12.25 inference(superposition,[],[f269296,f4917])). 83.94/12.25 tff(f269296,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF10,X0)),sF12) | empty_set = intersection(sF10,X0)) ) | ~spl19_15), 83.94/12.25 inference(resolution,[],[f242,f233])). 83.94/12.25 tff(f275915,plain,( 83.94/12.25 spl19_965 | ~spl19_9 | ~spl19_13 | spl19_144), 83.94/12.25 inference(avatar_split_clause,[],[f275907,f51977,f138,f122,f275913])). 83.94/12.25 tff(f275913,plain,( 83.94/12.25 spl19_965 <=> empty_set = intersection(sF11,sK4)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_965])])). 83.94/12.25 tff(f275907,plain,( 83.94/12.25 empty_set = intersection(sF11,sK4) | (~spl19_9 | ~spl19_13 | spl19_144)), 83.94/12.25 inference(subsumption_resolution,[],[f275899,f51978])). 83.94/12.25 tff(f275899,plain,( 83.94/12.25 member(sK6,sF9) | empty_set = intersection(sF11,sK4) | (~spl19_9 | ~spl19_13)), 83.94/12.25 inference(duplicate_literal_removal,[],[f275897])). 83.94/12.25 tff(f275897,plain,( 83.94/12.25 empty_set = intersection(sF11,sK4) | member(sK6,sF9) | empty_set = intersection(sF11,sK4) | (~spl19_9 | ~spl19_13)), 83.94/12.25 inference(superposition,[],[f269242,f4857])). 83.94/12.25 tff(f275911,plain,( 83.94/12.25 spl19_964 | ~spl19_10 | ~spl19_13 | spl19_161), 83.94/12.25 inference(avatar_split_clause,[],[f275906,f52588,f138,f126,f275909])). 83.94/12.25 tff(f275909,plain,( 83.94/12.25 spl19_964 <=> empty_set = intersection(sF13,sK4)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_964])])). 83.94/12.25 tff(f275906,plain,( 83.94/12.25 empty_set = intersection(sF13,sK4) | (~spl19_10 | ~spl19_13 | spl19_161)), 83.94/12.25 inference(subsumption_resolution,[],[f275902,f52589])). 83.94/12.25 tff(f275902,plain,( 83.94/12.25 member(sK7,sF9) | empty_set = intersection(sF13,sK4) | (~spl19_10 | ~spl19_13)), 83.94/12.25 inference(duplicate_literal_removal,[],[f275896])). 83.94/12.25 tff(f275896,plain,( 83.94/12.25 empty_set = intersection(sF13,sK4) | empty_set = intersection(sF13,sK4) | member(sK7,sF9) | (~spl19_10 | ~spl19_13)), 83.94/12.25 inference(superposition,[],[f269242,f4861])). 83.94/12.25 tff(f275886,plain,( 83.94/12.25 ~spl19_963 | ~spl19_24 | ~spl19_958), 83.94/12.25 inference(avatar_split_clause,[],[f275880,f275360,f212,f275884])). 83.94/12.25 tff(f275880,plain,( 83.94/12.25 ~member(sK6,sK4) | (~spl19_24 | ~spl19_958)), 83.94/12.25 inference(resolution,[],[f275404,f213])). 83.94/12.25 tff(f275815,plain,( 83.94/12.25 spl19_962 | ~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f275810,f158,f138,f114,f106,f275813])). 83.94/12.25 tff(f275810,plain,( 83.94/12.25 empty_set = difference(sK4,sK2) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f275799])). 83.94/12.25 tff(f275799,plain,( 83.94/12.25 empty_set = difference(sK4,sK2) | empty_set = difference(sK4,sK2) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f269238,f161717])). 83.94/12.25 tff(f275798,plain,( 83.94/12.25 ~spl19_961 | ~spl19_25 | ~spl19_959), 83.94/12.25 inference(avatar_split_clause,[],[f275470,f275364,f216,f275796])). 83.94/12.25 tff(f275364,plain,( 83.94/12.25 spl19_959 <=> empty_set = intersection(sK4,sF13)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_959])])). 83.94/12.25 tff(f275470,plain,( 83.94/12.25 ~member(sK7,sK4) | (~spl19_25 | ~spl19_959)), 83.94/12.25 inference(resolution,[],[f275389,f217])). 83.94/12.25 tff(f275389,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF13) | ~member(X0,sK4)) ) | ~spl19_959), 83.94/12.25 inference(subsumption_resolution,[],[f275372,f162])). 83.94/12.25 tff(f275372,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sK4) | ~member(X0,sF13)) ) | ~spl19_959), 83.94/12.25 inference(superposition,[],[f46,f275365])). 83.94/12.25 tff(f275365,plain,( 83.94/12.25 empty_set = intersection(sK4,sF13) | ~spl19_959), 83.94/12.25 inference(avatar_component_clause,[],[f275364])). 83.94/12.25 tff(f275409,plain,( 83.94/12.25 ~spl19_55 | spl19_960 | ~spl19_8 | ~spl19_13 | ~spl19_95), 83.94/12.25 inference(avatar_split_clause,[],[f165102,f5373,f138,f118,f275407,f607])). 83.94/12.25 tff(f275407,plain,( 83.94/12.25 spl19_960 <=> ! [X0 : set] : cardinality(difference(X0,sF18)) = cardinality(union(sF8,difference(X0,sF18)))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_960])])). 83.94/12.25 tff(f165102,plain,( 83.94/12.25 ( ! [X0 : set] : (cardinality(difference(X0,sF18)) = cardinality(union(sF8,difference(X0,sF18))) | empty_set != sF8) ) | (~spl19_8 | ~spl19_13 | ~spl19_95)), 83.94/12.25 inference(superposition,[],[f362,f165064])). 83.94/12.25 tff(f275390,plain,( 83.94/12.25 spl19_958 | ~spl19_9 | ~spl19_13 | spl19_144), 83.94/12.25 inference(avatar_split_clause,[],[f275358,f51977,f138,f122,f275360])). 83.94/12.25 tff(f275358,plain,( 83.94/12.25 empty_set = intersection(sK4,sF11) | (~spl19_9 | ~spl19_13 | spl19_144)), 83.94/12.25 inference(subsumption_resolution,[],[f275351,f51978])). 83.94/12.25 tff(f275351,plain,( 83.94/12.25 member(sK6,sF9) | empty_set = intersection(sK4,sF11) | (~spl19_9 | ~spl19_13)), 83.94/12.25 inference(duplicate_literal_removal,[],[f275347])). 83.94/12.25 tff(f275347,plain,( 83.94/12.25 empty_set = intersection(sK4,sF11) | empty_set = intersection(sK4,sF11) | member(sK6,sF9) | (~spl19_9 | ~spl19_13)), 83.94/12.25 inference(superposition,[],[f269231,f4913])). 83.94/12.25 tff(f269231,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(sK4,X0)),sF9) | empty_set = intersection(sK4,X0)) ) | ~spl19_13), 83.94/12.25 inference(resolution,[],[f240,f233])). 83.94/12.25 tff(f275366,plain,( 83.94/12.25 spl19_959 | ~spl19_10 | ~spl19_13 | spl19_161), 83.94/12.25 inference(avatar_split_clause,[],[f275357,f52588,f138,f126,f275364])). 83.94/12.25 tff(f275357,plain,( 83.94/12.25 empty_set = intersection(sK4,sF13) | (~spl19_10 | ~spl19_13 | spl19_161)), 83.94/12.25 inference(subsumption_resolution,[],[f275354,f52589])). 83.94/12.25 tff(f275354,plain,( 83.94/12.25 empty_set = intersection(sK4,sF13) | member(sK7,sF9) | (~spl19_10 | ~spl19_13)), 83.94/12.25 inference(duplicate_literal_removal,[],[f275348])). 83.94/12.25 tff(f275348,plain,( 83.94/12.25 empty_set = intersection(sK4,sF13) | member(sK7,sF9) | empty_set = intersection(sK4,sF13) | (~spl19_10 | ~spl19_13)), 83.94/12.25 inference(superposition,[],[f269231,f4917])). 83.94/12.25 tff(f275362,plain,( 83.94/12.25 spl19_958 | ~spl19_13 | ~spl19_141), 83.94/12.25 inference(avatar_split_clause,[],[f275352,f51939,f138,f275360])). 83.94/12.25 tff(f275352,plain,( 83.94/12.25 empty_set = intersection(sK4,sF11) | (~spl19_13 | ~spl19_141)), 83.94/12.25 inference(duplicate_literal_removal,[],[f275336])). 83.94/12.25 tff(f275336,plain,( 83.94/12.25 empty_set = intersection(sK4,sF11) | empty_set = intersection(sK4,sF11) | (~spl19_13 | ~spl19_141)), 83.94/12.25 inference(resolution,[],[f269231,f51967])). 83.94/12.25 tff(f274624,plain,( 83.94/12.25 spl19_957 | ~spl19_5 | ~spl19_18 | ~spl19_145 | ~spl19_389), 83.94/12.25 inference(avatar_split_clause,[],[f274557,f73232,f52201,f158,f106,f274622])). 83.94/12.25 tff(f274622,plain,( 83.94/12.25 spl19_957 <=> cardinality(sF9) = cardinality(union(sF9,intersection(sF13,sF12)))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_957])])). 83.94/12.25 tff(f73232,plain,( 83.94/12.25 spl19_389 <=> 0 = cardinality(intersection(sF13,sF12))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_389])])). 83.94/12.25 tff(f274557,plain,( 83.94/12.25 cardinality(sF9) = cardinality(union(sF9,intersection(sF13,sF12))) | (~spl19_5 | ~spl19_18 | ~spl19_145 | ~spl19_389)), 83.94/12.25 inference(evaluation,[],[f274324])). 83.94/12.25 tff(f274324,plain,( 83.94/12.25 $sum(cardinality(sF9),0) = cardinality(union(sF9,intersection(sF13,sF12))) | (~spl19_5 | ~spl19_18 | ~spl19_145 | ~spl19_389)), 83.94/12.25 inference(superposition,[],[f164136,f73233])). 83.94/12.25 tff(f73233,plain,( 83.94/12.25 0 = cardinality(intersection(sF13,sF12)) | ~spl19_389), 83.94/12.25 inference(avatar_component_clause,[],[f73232])). 83.94/12.25 tff(f164136,plain,( 83.94/12.25 ( ! [X0 : set] : ($sum(cardinality(sF9),cardinality(intersection(sF13,X0))) = cardinality(union(sF9,intersection(sF13,X0)))) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(trivial_inequality_removal,[],[f164074])). 83.94/12.25 tff(f164074,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set != empty_set | $sum(cardinality(sF9),cardinality(intersection(sF13,X0))) = cardinality(union(sF9,intersection(sF13,X0)))) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(superposition,[],[f73,f163698])). 83.94/12.25 tff(f163698,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set = intersection(sF9,intersection(sF13,X0))) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(duplicate_literal_removal,[],[f163379])). 83.94/12.25 tff(f163379,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set = intersection(sF9,intersection(sF13,X0)) | empty_set = intersection(sF9,intersection(sF13,X0))) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(resolution,[],[f4900,f52335])). 83.94/12.25 tff(f52335,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(intersection(sF9,X0)),sF13) | empty_set = intersection(sF9,X0)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(resolution,[],[f52220,f4921])). 83.94/12.25 tff(f4921,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF9,X0)),sF18) | empty_set = intersection(sF9,X0)) ) | (~spl19_5 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f4854,f243])). 83.94/12.25 tff(f4854,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF9,X0)),sK5) | empty_set = intersection(sF9,X0)) ) | ~spl19_5), 83.94/12.25 inference(resolution,[],[f233,f271])). 83.94/12.25 tff(f274305,plain,( 83.94/12.25 spl19_955 | ~spl19_7 | ~spl19_954), 83.94/12.25 inference(avatar_split_clause,[],[f274300,f274284,f114,f274288])). 83.94/12.25 tff(f274288,plain,( 83.94/12.25 spl19_955 <=> member(sK0(union(sF8,empty_set)),sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_955])])). 83.94/12.25 tff(f274284,plain,( 83.94/12.25 spl19_954 <=> member(sK0(union(sF8,empty_set)),sF18)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_954])])). 83.94/12.25 tff(f274300,plain,( 83.94/12.25 member(sK0(union(sF8,empty_set)),sK2) | (~spl19_7 | ~spl19_954)), 83.94/12.25 inference(resolution,[],[f274285,f272])). 83.94/12.25 tff(f274285,plain,( 83.94/12.25 member(sK0(union(sF8,empty_set)),sF18) | ~spl19_954), 83.94/12.25 inference(avatar_component_clause,[],[f274284])). 83.94/12.25 tff(f274304,plain,( 83.94/12.25 ~spl19_956 | ~spl19_145 | ~spl19_954), 83.94/12.25 inference(avatar_split_clause,[],[f274298,f274284,f52201,f274302])). 83.94/12.25 tff(f274302,plain,( 83.94/12.25 spl19_956 <=> member(sK0(union(sF8,empty_set)),sF13)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_956])])). 83.94/12.25 tff(f274298,plain,( 83.94/12.25 ~member(sK0(union(sF8,empty_set)),sF13) | (~spl19_145 | ~spl19_954)), 83.94/12.25 inference(resolution,[],[f274285,f52220])). 83.94/12.25 tff(f274291,plain,( 83.94/12.25 ~spl19_940 | spl19_941 | ~spl19_5 | ~spl19_18 | ~spl19_20), 83.94/12.25 inference(avatar_split_clause,[],[f269157,f181,f158,f106,f273210,f273207])). 83.94/12.25 tff(f273207,plain,( 83.94/12.25 spl19_940 <=> cardinality(sF9) = $sum(1,cardinality(sF9))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_940])])). 83.94/12.25 tff(f273210,plain,( 83.94/12.25 spl19_941 <=> ! [X0 : element] : (member(X0,sF18) | singleton(X0) = intersection(singleton(X0),sF9))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_941])])). 83.94/12.25 tff(f269157,plain,( 83.94/12.25 ( ! [X0 : element] : (cardinality(sF9) != $sum(1,cardinality(sF9)) | singleton(X0) = intersection(singleton(X0),sF9) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(superposition,[],[f43,f93100])). 83.94/12.25 tff(f93100,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF9)) = cardinality(union(singleton(X0),sF9)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(forward_demodulation,[],[f93099,f15])). 83.94/12.25 tff(f93099,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(cardinality(sF9),1) = cardinality(union(singleton(X0),sF9)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(forward_demodulation,[],[f93098,f6730])). 83.94/12.25 tff(f93098,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(cardinality(sF9),cardinality(singleton(X0))) = cardinality(union(singleton(X0),sF9)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_18)), 83.94/12.25 inference(forward_demodulation,[],[f93066,f15])). 83.94/12.25 tff(f93066,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | cardinality(union(singleton(X0),sF9)) = $sum(cardinality(singleton(X0)),cardinality(sF9))) ) | (~spl19_5 | ~spl19_18)), 83.94/12.25 inference(trivial_inequality_removal,[],[f93028])). 83.94/12.25 tff(f93028,plain,( 83.94/12.25 ( ! [X0 : element] : (cardinality(union(singleton(X0),sF9)) = $sum(cardinality(singleton(X0)),cardinality(sF9)) | member(X0,sF18) | empty_set != empty_set) ) | (~spl19_5 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f73,f92333])). 83.94/12.25 tff(f92333,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF9) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f92294])). 83.94/12.25 tff(f92294,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | empty_set = intersection(singleton(X0),sF9) | empty_set = intersection(singleton(X0),sF9)) ) | (~spl19_5 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f4951,f4842])). 83.94/12.25 tff(f274290,plain,( 83.94/12.25 spl19_955 | spl19_192 | ~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18 | ~spl19_41), 83.94/12.25 inference(avatar_split_clause,[],[f274225,f488,f158,f118,f114,f106,f53943,f274288])). 83.94/12.25 tff(f53943,plain,( 83.94/12.25 spl19_192 <=> empty_set = union(sF8,empty_set)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_192])])). 83.94/12.25 tff(f274225,plain,( 83.94/12.25 member(sK0(union(sF8,empty_set)),sK2) | empty_set = union(sF8,empty_set) | (~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18 | ~spl19_41)), 83.94/12.25 inference(resolution,[],[f11060,f270370])). 83.94/12.25 tff(f274286,plain,( 83.94/12.25 spl19_954 | spl19_192 | ~spl19_5 | ~spl19_13 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f274224,f158,f138,f106,f53943,f274284])). 83.94/12.25 tff(f274224,plain,( 83.94/12.25 empty_set = union(sF8,empty_set) | member(sK0(union(sF8,empty_set)),sF18) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f11060,f269374])). 83.94/12.25 tff(f274282,plain,( 83.94/12.25 spl19_953 | ~spl19_7 | ~spl19_936), 83.94/12.25 inference(avatar_split_clause,[],[f272471,f272369,f114,f274280])). 83.94/12.25 tff(f272471,plain,( 83.94/12.25 member(sK0(intersection(sF9,sF14)),sK2) | (~spl19_7 | ~spl19_936)), 83.94/12.25 inference(resolution,[],[f272370,f272])). 83.94/12.25 tff(f272370,plain,( 83.94/12.25 member(sK0(intersection(sF9,sF14)),sF18) | ~spl19_936), 83.94/12.25 inference(avatar_component_clause,[],[f272369])). 83.94/12.25 tff(f274278,plain,( 83.94/12.25 spl19_952 | ~spl19_5 | ~spl19_18 | ~spl19_145 | ~spl19_386), 83.94/12.25 inference(avatar_split_clause,[],[f274092,f73044,f52201,f158,f106,f274276])). 83.94/12.25 tff(f274276,plain,( 83.94/12.25 spl19_952 <=> cardinality(sF9) = cardinality(union(sF9,intersection(sF12,sF13)))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_952])])). 83.94/12.25 tff(f73044,plain,( 83.94/12.25 spl19_386 <=> 0 = cardinality(intersection(sF12,sF13))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_386])])). 83.94/12.25 tff(f274092,plain,( 83.94/12.25 cardinality(sF9) = cardinality(union(sF9,intersection(sF12,sF13))) | (~spl19_5 | ~spl19_18 | ~spl19_145 | ~spl19_386)), 83.94/12.25 inference(evaluation,[],[f273859])). 83.94/12.25 tff(f273859,plain,( 83.94/12.25 $sum(cardinality(sF9),0) = cardinality(union(sF9,intersection(sF12,sF13))) | (~spl19_5 | ~spl19_18 | ~spl19_145 | ~spl19_386)), 83.94/12.25 inference(superposition,[],[f163314,f73045])). 83.94/12.25 tff(f73045,plain,( 83.94/12.25 0 = cardinality(intersection(sF12,sF13)) | ~spl19_386), 83.94/12.25 inference(avatar_component_clause,[],[f73044])). 83.94/12.25 tff(f163314,plain,( 83.94/12.25 ( ! [X0 : set] : ($sum(cardinality(sF9),cardinality(intersection(X0,sF13))) = cardinality(union(sF9,intersection(X0,sF13)))) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(trivial_inequality_removal,[],[f163253])). 83.94/12.25 tff(f163253,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set != empty_set | $sum(cardinality(sF9),cardinality(intersection(X0,sF13))) = cardinality(union(sF9,intersection(X0,sF13)))) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(superposition,[],[f73,f163211])). 83.94/12.25 tff(f163211,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set = intersection(sF9,intersection(X0,sF13))) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(duplicate_literal_removal,[],[f162894])). 83.94/12.25 tff(f162894,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set = intersection(sF9,intersection(X0,sF13)) | empty_set = intersection(sF9,intersection(X0,sF13))) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(resolution,[],[f4899,f52335])). 83.94/12.25 tff(f273845,plain,( 83.94/12.25 ~spl19_951 | ~spl19_145 | ~spl19_936), 83.94/12.25 inference(avatar_split_clause,[],[f272469,f272369,f52201,f273843])). 83.94/12.25 tff(f273843,plain,( 83.94/12.25 spl19_951 <=> member(sK0(intersection(sF9,sF14)),sF13)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_951])])). 83.94/12.25 tff(f272469,plain,( 83.94/12.25 ~member(sK0(intersection(sF9,sF14)),sF13) | (~spl19_145 | ~spl19_936)), 83.94/12.25 inference(resolution,[],[f272370,f52220])). 83.94/12.25 tff(f273841,plain,( 83.94/12.25 spl19_950 | ~spl19_7 | ~spl19_935), 83.94/12.25 inference(avatar_split_clause,[],[f272399,f272365,f114,f273839])). 83.94/12.25 tff(f272399,plain,( 83.94/12.25 member(sK0(intersection(sF14,sF9)),sK2) | (~spl19_7 | ~spl19_935)), 83.94/12.25 inference(resolution,[],[f272366,f272])). 83.94/12.25 tff(f272366,plain,( 83.94/12.25 member(sK0(intersection(sF14,sF9)),sF18) | ~spl19_935), 83.94/12.25 inference(avatar_component_clause,[],[f272365])). 83.94/12.25 tff(f273836,plain,( 83.94/12.25 ~spl19_949 | ~spl19_145 | ~spl19_935), 83.94/12.25 inference(avatar_split_clause,[],[f272397,f272365,f52201,f273834])). 83.94/12.25 tff(f273834,plain,( 83.94/12.25 spl19_949 <=> member(sK0(intersection(sF14,sF9)),sF13)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_949])])). 83.94/12.25 tff(f272397,plain,( 83.94/12.25 ~member(sK0(intersection(sF14,sF9)),sF13) | (~spl19_145 | ~spl19_935)), 83.94/12.25 inference(resolution,[],[f272366,f52220])). 83.94/12.25 tff(f273832,plain,( 83.94/12.25 spl19_30 | spl19_948 | spl19_68 | ~spl19_13), 83.94/12.25 inference(avatar_split_clause,[],[f1187,f138,f1477,f273830,f359])). 83.94/12.25 tff(f273830,plain,( 83.94/12.25 spl19_948 <=> member(sK0(sF9),sK4)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_948])])). 83.94/12.25 tff(f1477,plain,( 83.94/12.25 spl19_68 <=> member(sK0(sF9),sF8)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_68])])). 83.94/12.25 tff(f1187,plain,( 83.94/12.25 member(sK0(sF9),sF8) | member(sK0(sF9),sK4) | empty_set = sF9 | ~spl19_13), 83.94/12.25 inference(resolution,[],[f348,f59])). 83.94/12.25 tff(f348,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sK4) | member(X0,sF8)) ) | ~spl19_13), 83.94/12.25 inference(superposition,[],[f55,f139])). 83.94/12.25 tff(f273547,plain,( 83.94/12.25 spl19_947 | ~spl19_7 | ~spl19_933), 83.94/12.25 inference(avatar_split_clause,[],[f272377,f272225,f114,f273545])). 83.94/12.25 tff(f272225,plain,( 83.94/12.25 spl19_933 <=> member(sK0(intersection(sF14,sK5)),sF18)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_933])])). 83.94/12.25 tff(f272377,plain,( 83.94/12.25 member(sK0(intersection(sF14,sK5)),sK2) | (~spl19_7 | ~spl19_933)), 83.94/12.25 inference(resolution,[],[f272226,f272])). 83.94/12.25 tff(f272226,plain,( 83.94/12.25 member(sK0(intersection(sF14,sK5)),sF18) | ~spl19_933), 83.94/12.25 inference(avatar_component_clause,[],[f272225])). 83.94/12.25 tff(f273543,plain,( 83.94/12.25 spl19_946 | ~spl19_5 | ~spl19_18 | ~spl19_145 | ~spl19_389), 83.94/12.25 inference(avatar_split_clause,[],[f273481,f73232,f52201,f158,f106,f273541])). 83.94/12.25 tff(f273541,plain,( 83.94/12.25 spl19_946 <=> cardinality(sF9) = cardinality(union(intersection(sF13,sF12),sF9))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_946])])). 83.94/12.25 tff(f273481,plain,( 83.94/12.25 cardinality(sF9) = cardinality(union(intersection(sF13,sF12),sF9)) | (~spl19_5 | ~spl19_18 | ~spl19_145 | ~spl19_389)), 83.94/12.25 inference(evaluation,[],[f273242])). 83.94/12.25 tff(f273242,plain,( 83.94/12.25 $sum(0,cardinality(sF9)) = cardinality(union(intersection(sF13,sF12),sF9)) | (~spl19_5 | ~spl19_18 | ~spl19_145 | ~spl19_389)), 83.94/12.25 inference(superposition,[],[f160088,f73233])). 83.94/12.25 tff(f160088,plain,( 83.94/12.25 ( ! [X0 : set] : (cardinality(union(intersection(sF13,X0),sF9)) = $sum(cardinality(intersection(sF13,X0)),cardinality(sF9))) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(trivial_inequality_removal,[],[f160026])). 83.94/12.25 tff(f160026,plain,( 83.94/12.25 ( ! [X0 : set] : (cardinality(union(intersection(sF13,X0),sF9)) = $sum(cardinality(intersection(sF13,X0)),cardinality(sF9)) | empty_set != empty_set) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(superposition,[],[f73,f159846])). 83.94/12.25 tff(f159846,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set = intersection(intersection(sF13,X0),sF9)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(duplicate_literal_removal,[],[f159543])). 83.94/12.25 tff(f159543,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set = intersection(intersection(sF13,X0),sF9) | empty_set = intersection(intersection(sF13,X0),sF9)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(resolution,[],[f4844,f52332])). 83.94/12.25 tff(f52332,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(intersection(X0,sF9)),sF13) | empty_set = intersection(X0,sF9)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(resolution,[],[f52220,f4951])). 83.94/12.25 tff(f4844,plain,( 83.94/12.25 ( ! [X2 : set,X0 : set,X1 : set] : (member(sK0(intersection(intersection(X0,X1),X2)),X0) | empty_set = intersection(intersection(X0,X1),X2)) )), 83.94/12.25 inference(resolution,[],[f233,f47])). 83.94/12.25 tff(f273229,plain,( 83.94/12.25 ~spl19_945 | ~spl19_145 | ~spl19_933), 83.94/12.25 inference(avatar_split_clause,[],[f272375,f272225,f52201,f273227])). 83.94/12.25 tff(f273227,plain,( 83.94/12.25 spl19_945 <=> member(sK0(intersection(sF14,sK5)),sF13)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_945])])). 83.94/12.25 tff(f272375,plain,( 83.94/12.25 ~member(sK0(intersection(sF14,sK5)),sF13) | (~spl19_145 | ~spl19_933)), 83.94/12.25 inference(resolution,[],[f272226,f52220])). 83.94/12.25 tff(f273225,plain,( 83.94/12.25 spl19_944 | ~spl19_7 | ~spl19_932), 83.94/12.25 inference(avatar_split_clause,[],[f272374,f272221,f114,f273223])). 83.94/12.25 tff(f272374,plain,( 83.94/12.25 member(sK0(intersection(sK5,sF14)),sK2) | (~spl19_7 | ~spl19_932)), 83.94/12.25 inference(resolution,[],[f272222,f272])). 83.94/12.25 tff(f272222,plain,( 83.94/12.25 member(sK0(intersection(sK5,sF14)),sF18) | ~spl19_932), 83.94/12.25 inference(avatar_component_clause,[],[f272221])). 83.94/12.25 tff(f273221,plain,( 83.94/12.25 ~spl19_943 | ~spl19_145 | ~spl19_932), 83.94/12.25 inference(avatar_split_clause,[],[f272372,f272221,f52201,f273219])). 83.94/12.25 tff(f273219,plain,( 83.94/12.25 spl19_943 <=> member(sK0(intersection(sK5,sF14)),sF13)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_943])])). 83.94/12.25 tff(f272372,plain,( 83.94/12.25 ~member(sK0(intersection(sK5,sF14)),sF13) | (~spl19_145 | ~spl19_932)), 83.94/12.25 inference(resolution,[],[f272222,f52220])). 83.94/12.25 tff(f273217,plain,( 83.94/12.25 spl19_942 | ~spl19_5 | ~spl19_18 | ~spl19_145 | ~spl19_386), 83.94/12.25 inference(avatar_split_clause,[],[f273143,f73044,f52201,f158,f106,f273215])). 83.94/12.25 tff(f273215,plain,( 83.94/12.25 spl19_942 <=> cardinality(sF9) = cardinality(union(intersection(sF12,sF13),sF9))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_942])])). 83.94/12.25 tff(f273143,plain,( 83.94/12.25 cardinality(sF9) = cardinality(union(intersection(sF12,sF13),sF9)) | (~spl19_5 | ~spl19_18 | ~spl19_145 | ~spl19_386)), 83.94/12.25 inference(evaluation,[],[f272905])). 83.94/12.25 tff(f272905,plain,( 83.94/12.25 $sum(0,cardinality(sF9)) = cardinality(union(intersection(sF12,sF13),sF9)) | (~spl19_5 | ~spl19_18 | ~spl19_145 | ~spl19_386)), 83.94/12.25 inference(superposition,[],[f159942,f73045])). 83.94/12.25 tff(f159942,plain,( 83.94/12.25 ( ! [X0 : set] : (cardinality(union(intersection(X0,sF13),sF9)) = $sum(cardinality(intersection(X0,sF13)),cardinality(sF9))) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(trivial_inequality_removal,[],[f159880])). 83.94/12.25 tff(f159880,plain,( 83.94/12.25 ( ! [X0 : set] : (cardinality(union(intersection(X0,sF13),sF9)) = $sum(cardinality(intersection(X0,sF13)),cardinality(sF9)) | empty_set != empty_set) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(superposition,[],[f73,f159127])). 83.94/12.25 tff(f159127,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set = intersection(intersection(X0,sF13),sF9)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(duplicate_literal_removal,[],[f158831])). 83.94/12.25 tff(f158831,plain,( 83.94/12.25 ( ! [X0 : set] : (empty_set = intersection(intersection(X0,sF13),sF9) | empty_set = intersection(intersection(X0,sF13),sF9)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(resolution,[],[f4843,f52332])). 83.94/12.25 tff(f4843,plain,( 83.94/12.25 ( ! [X2 : set,X0 : set,X1 : set] : (member(sK0(intersection(intersection(X0,X1),X2)),X1) | empty_set = intersection(intersection(X0,X1),X2)) )), 83.94/12.25 inference(resolution,[],[f233,f48])). 83.94/12.25 tff(f273213,plain,( 83.94/12.25 ~spl19_940 | spl19_941 | ~spl19_5 | ~spl19_18 | ~spl19_20), 83.94/12.25 inference(avatar_split_clause,[],[f269065,f181,f158,f106,f273210,f273207])). 83.94/12.25 tff(f269065,plain,( 83.94/12.25 ( ! [X0 : element] : (singleton(X0) = intersection(singleton(X0),sF9) | member(X0,sF18) | cardinality(sF9) != $sum(1,cardinality(sF9))) ) | (~spl19_5 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(superposition,[],[f43,f93100])). 83.94/12.25 tff(f273212,plain,( 83.94/12.25 ~spl19_940 | spl19_941 | ~spl19_5 | ~spl19_18 | ~spl19_20), 83.94/12.25 inference(avatar_split_clause,[],[f269030,f181,f158,f106,f273210,f273207])). 83.94/12.25 tff(f269030,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | singleton(X0) = intersection(singleton(X0),sF9) | cardinality(sF9) != $sum(1,cardinality(sF9))) ) | (~spl19_5 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(superposition,[],[f43,f93100])). 83.94/12.25 tff(f272850,plain,( 83.94/12.25 spl19_939 | ~spl19_353 | ~spl19_938), 83.94/12.25 inference(avatar_split_clause,[],[f272760,f272658,f66743,f272848])). 83.94/12.25 tff(f272760,plain,( 83.94/12.25 member(sK0(sF10),sK5) | (~spl19_353 | ~spl19_938)), 83.94/12.25 inference(resolution,[],[f272659,f268979])). 83.94/12.25 tff(f272660,plain,( 83.94/12.25 spl19_89 | spl19_938 | ~spl19_40), 83.94/12.25 inference(avatar_split_clause,[],[f269116,f469,f272658,f2526])). 83.94/12.25 tff(f469,plain,( 83.94/12.25 spl19_40 <=> sF10 = union(empty_set,sF8)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_40])])). 83.94/12.25 tff(f269116,plain,( 83.94/12.25 member(sK0(sF10),sF8) | empty_set = sF10 | ~spl19_40), 83.94/12.25 inference(subsumption_resolution,[],[f269109,f162])). 83.94/12.25 tff(f269109,plain,( 83.94/12.25 empty_set = sF10 | member(sK0(sF10),sF8) | member(sK0(sF10),empty_set) | ~spl19_40), 83.94/12.25 inference(superposition,[],[f347,f470])). 83.94/12.25 tff(f470,plain,( 83.94/12.25 sF10 = union(empty_set,sF8) | ~spl19_40), 83.94/12.25 inference(avatar_component_clause,[],[f469])). 83.94/12.25 tff(f272403,plain,( 83.94/12.25 spl19_937 | ~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f272396,f158,f138,f114,f106,f272401])). 83.94/12.25 tff(f272401,plain,( 83.94/12.25 spl19_937 <=> empty_set = difference(complement(complement(sF8)),sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_937])])). 83.94/12.25 tff(f272396,plain,( 83.94/12.25 empty_set = difference(complement(complement(sF8)),sK2) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f272384])). 83.94/12.25 tff(f272384,plain,( 83.94/12.25 empty_set = difference(complement(complement(sF8)),sK2) | empty_set = difference(complement(complement(sF8)),sK2) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f272282,f4993])). 83.94/12.25 tff(f272371,plain,( 83.94/12.25 spl19_936 | ~spl19_746 | ~spl19_899), 83.94/12.25 inference(avatar_split_clause,[],[f271240,f269827,f204981,f272369])). 83.94/12.25 tff(f271240,plain,( 83.94/12.25 member(sK0(intersection(sF9,sF14)),sF18) | (~spl19_746 | ~spl19_899)), 83.94/12.25 inference(resolution,[],[f205076,f269828])). 83.94/12.25 tff(f205076,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF12) | member(X0,sF18)) ) | ~spl19_746), 83.94/12.25 inference(subsumption_resolution,[],[f205001,f162])). 83.94/12.25 tff(f205001,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | ~member(X0,sF12) | member(X0,empty_set)) ) | ~spl19_746), 83.94/12.25 inference(superposition,[],[f61,f204982])). 83.94/12.25 tff(f204982,plain,( 83.94/12.25 empty_set = difference(sF12,sF18) | ~spl19_746), 83.94/12.25 inference(avatar_component_clause,[],[f204981])). 83.94/12.25 tff(f272367,plain,( 83.94/12.25 spl19_935 | ~spl19_746 | ~spl19_896), 83.94/12.25 inference(avatar_split_clause,[],[f271239,f269816,f204981,f272365])). 83.94/12.25 tff(f271239,plain,( 83.94/12.25 member(sK0(intersection(sF14,sF9)),sF18) | (~spl19_746 | ~spl19_896)), 83.94/12.25 inference(resolution,[],[f205076,f269817])). 83.94/12.25 tff(f272355,plain,( 83.94/12.25 ~spl19_926 | spl19_925 | ~spl19_5 | ~spl19_18 | ~spl19_20), 83.94/12.25 inference(avatar_split_clause,[],[f269070,f181,f158,f106,f272083,f272086])). 83.94/12.25 tff(f272086,plain,( 83.94/12.25 spl19_926 <=> 0 = $sum(1,cardinality(sF9))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_926])])). 83.94/12.25 tff(f272083,plain,( 83.94/12.25 spl19_925 <=> ! [X0 : element] : (empty_set = union(singleton(X0),sF9) | member(X0,sF18))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_925])])). 83.94/12.25 tff(f269070,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = union(singleton(X0),sF9) | 0 != $sum(1,cardinality(sF9)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(superposition,[],[f49,f93100])). 83.94/12.25 tff(f272231,plain,( 83.94/12.25 spl19_934 | ~spl19_926 | ~spl19_5 | ~spl19_18 | ~spl19_20), 83.94/12.25 inference(avatar_split_clause,[],[f269050,f181,f158,f106,f272086,f272229])). 83.94/12.25 tff(f272229,plain,( 83.94/12.25 spl19_934 <=> ! [X0 : element] : (member(X0,sF18) | empty_set = union(sF9,singleton(X0)))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_934])])). 83.94/12.25 tff(f269050,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | empty_set = union(sF9,singleton(X0)) | 0 != $sum(1,cardinality(sF9))) ) | (~spl19_5 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(superposition,[],[f49,f94439])). 83.94/12.25 tff(f94439,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF9)) = cardinality(union(sF9,singleton(X0))) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(forward_demodulation,[],[f94438,f15])). 83.94/12.25 tff(f94438,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(cardinality(sF9),1) = cardinality(union(sF9,singleton(X0))) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(forward_demodulation,[],[f94409,f6730])). 83.94/12.25 tff(f94409,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | cardinality(union(sF9,singleton(X0))) = $sum(cardinality(sF9),cardinality(singleton(X0)))) ) | (~spl19_5 | ~spl19_18)), 83.94/12.25 inference(trivial_inequality_removal,[],[f94372])). 83.94/12.25 tff(f94372,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != empty_set | member(X0,sF18) | cardinality(union(sF9,singleton(X0))) = $sum(cardinality(sF9),cardinality(singleton(X0)))) ) | (~spl19_5 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f73,f94189])). 83.94/12.25 tff(f94189,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF9,singleton(X0)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f94169])). 83.94/12.25 tff(f94169,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF9,singleton(X0)) | member(X0,sF18) | empty_set = intersection(sF9,singleton(X0))) ) | (~spl19_5 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f4921,f4898])). 83.94/12.25 tff(f272227,plain,( 83.94/12.25 spl19_933 | ~spl19_746 | ~spl19_894), 83.94/12.25 inference(avatar_split_clause,[],[f271238,f269793,f204981,f272225])). 83.94/12.25 tff(f271238,plain,( 83.94/12.25 member(sK0(intersection(sF14,sK5)),sF18) | (~spl19_746 | ~spl19_894)), 83.94/12.25 inference(resolution,[],[f205076,f269794])). 83.94/12.25 tff(f272223,plain,( 83.94/12.25 spl19_932 | ~spl19_746 | ~spl19_897), 83.94/12.25 inference(avatar_split_clause,[],[f271237,f269820,f204981,f272221])). 83.94/12.25 tff(f271237,plain,( 83.94/12.25 member(sK0(intersection(sK5,sF14)),sF18) | (~spl19_746 | ~spl19_897)), 83.94/12.25 inference(resolution,[],[f205076,f269821])). 83.94/12.25 tff(f272219,plain,( 83.94/12.25 spl19_931 | ~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f272209,f158,f138,f114,f106,f272217])). 83.94/12.25 tff(f272217,plain,( 83.94/12.25 spl19_931 <=> empty_set = difference(complement(sK2),complement(sF8))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_931])])). 83.94/12.25 tff(f272209,plain,( 83.94/12.25 empty_set = difference(complement(sK2),complement(sF8)) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f272202])). 83.94/12.25 tff(f272202,plain,( 83.94/12.25 empty_set = difference(complement(sK2),complement(sF8)) | empty_set = difference(complement(sK2),complement(sF8)) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f271659,f4993])). 83.94/12.25 tff(f272158,plain,( 83.94/12.25 spl19_930 | ~spl19_7 | ~spl19_916), 83.94/12.25 inference(avatar_split_clause,[],[f271860,f271765,f114,f272156])). 83.94/12.25 tff(f271860,plain,( 83.94/12.25 member(sK0(sF10),sK2) | (~spl19_7 | ~spl19_916)), 83.94/12.25 inference(resolution,[],[f271766,f272])). 83.94/12.25 tff(f271766,plain,( 83.94/12.25 member(sK0(sF10),sF18) | ~spl19_916), 83.94/12.25 inference(avatar_component_clause,[],[f271765])). 83.94/12.25 tff(f272105,plain,( 83.94/12.25 spl19_929 | ~spl19_55 | ~spl19_8 | ~spl19_13 | ~spl19_20 | ~spl19_95 | ~spl19_145), 83.94/12.25 inference(avatar_split_clause,[],[f110084,f52201,f5373,f181,f138,f118,f607,f272103])). 83.94/12.25 tff(f272103,plain,( 83.94/12.25 spl19_929 <=> ! [X0 : element] : (1 = cardinality(union(sF8,singleton(X0))) | ~member(X0,sF13))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_929])])). 83.94/12.25 tff(f110084,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != sF8 | 1 = cardinality(union(sF8,singleton(X0))) | ~member(X0,sF13)) ) | (~spl19_8 | ~spl19_13 | ~spl19_20 | ~spl19_95 | ~spl19_145)), 83.94/12.25 inference(forward_demodulation,[],[f109986,f6730])). 83.94/12.25 tff(f109986,plain,( 83.94/12.25 ( ! [X0 : element] : (cardinality(singleton(X0)) = cardinality(union(sF8,singleton(X0))) | ~member(X0,sF13) | empty_set != sF8) ) | (~spl19_8 | ~spl19_13 | ~spl19_95 | ~spl19_145)), 83.94/12.25 inference(superposition,[],[f362,f94179])). 83.94/12.25 tff(f272101,plain,( 83.94/12.25 ~spl19_59 | spl19_928 | ~spl19_10 | ~spl19_20 | ~spl19_146), 83.94/12.25 inference(avatar_split_clause,[],[f96495,f52205,f181,f126,f272099,f1016])). 83.94/12.25 tff(f272099,plain,( 83.94/12.25 spl19_928 <=> ! [X0 : element] : (~member(X0,sF9) | 1 = cardinality(union(sF13,singleton(X0))))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_928])])). 83.94/12.25 tff(f52205,plain,( 83.94/12.25 spl19_146 <=> empty_set = intersection(sF13,sF9)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_146])])). 83.94/12.25 tff(f96495,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != sF13 | ~member(X0,sF9) | 1 = cardinality(union(sF13,singleton(X0)))) ) | (~spl19_10 | ~spl19_20 | ~spl19_146)), 83.94/12.25 inference(forward_demodulation,[],[f96399,f6730])). 83.94/12.25 tff(f96399,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != sF13 | cardinality(singleton(X0)) = cardinality(union(sF13,singleton(X0))) | ~member(X0,sF9)) ) | (~spl19_10 | ~spl19_146)), 83.94/12.25 inference(superposition,[],[f364,f94199])). 83.94/12.25 tff(f94199,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF13,singleton(X0)) | ~member(X0,sF9)) ) | ~spl19_146), 83.94/12.25 inference(duplicate_literal_removal,[],[f94173])). 83.94/12.25 tff(f94173,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | empty_set = intersection(sF13,singleton(X0)) | empty_set = intersection(sF13,singleton(X0))) ) | ~spl19_146), 83.94/12.25 inference(superposition,[],[f52580,f4898])). 83.94/12.25 tff(f52580,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(intersection(sF13,X0)),sF9) | empty_set = intersection(sF13,X0)) ) | ~spl19_146), 83.94/12.25 inference(resolution,[],[f52235,f233])). 83.94/12.25 tff(f52235,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF13) | ~member(X0,sF9)) ) | ~spl19_146), 83.94/12.25 inference(subsumption_resolution,[],[f52225,f162])). 83.94/12.25 tff(f52225,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,empty_set) | ~member(X0,sF13)) ) | ~spl19_146), 83.94/12.25 inference(superposition,[],[f46,f52206])). 83.94/12.25 tff(f52206,plain,( 83.94/12.25 empty_set = intersection(sF13,sF9) | ~spl19_146), 83.94/12.25 inference(avatar_component_clause,[],[f52205])). 83.94/12.25 tff(f272093,plain,( 83.94/12.25 ~spl19_55 | spl19_927 | ~spl19_8 | ~spl19_13 | ~spl19_20 | ~spl19_92), 83.94/12.25 inference(avatar_split_clause,[],[f96370,f5066,f181,f138,f118,f272091,f607])). 83.94/12.25 tff(f272091,plain,( 83.94/12.25 spl19_927 <=> ! [X0 : element] : (member(X0,sK2) | 1 = cardinality(union(sF8,singleton(X0))))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_927])])). 83.94/12.25 tff(f96370,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != sF8 | member(X0,sK2) | 1 = cardinality(union(sF8,singleton(X0)))) ) | (~spl19_8 | ~spl19_13 | ~spl19_20 | ~spl19_92)), 83.94/12.25 inference(forward_demodulation,[],[f96301,f6730])). 83.94/12.25 tff(f96301,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != sF8 | member(X0,sK2) | cardinality(singleton(X0)) = cardinality(union(sF8,singleton(X0)))) ) | (~spl19_8 | ~spl19_13 | ~spl19_92)), 83.94/12.25 inference(superposition,[],[f362,f94196])). 83.94/12.25 tff(f94196,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF8,singleton(X0)) | member(X0,sK2)) ) | (~spl19_13 | ~spl19_92)), 83.94/12.25 inference(duplicate_literal_removal,[],[f94160])). 83.94/12.25 tff(f94160,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sK2) | empty_set = intersection(sF8,singleton(X0)) | empty_set = intersection(sF8,singleton(X0))) ) | (~spl19_13 | ~spl19_92)), 83.94/12.25 inference(superposition,[],[f47225,f4898])). 83.94/12.25 tff(f272089,plain,( 83.94/12.25 spl19_907 | spl19_908 | ~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_177), 83.94/12.25 inference(avatar_split_clause,[],[f272072,f53427,f264,f181,f158,f138,f114,f106,f270857,f270850])). 83.94/12.25 tff(f270850,plain,( 83.94/12.25 spl19_907 <=> empty_set = complement(complement(sF8))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_907])])). 83.94/12.25 tff(f270857,plain,( 83.94/12.25 spl19_908 <=> member(sK0(complement(complement(sF8))),sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_908])])). 83.94/12.25 tff(f272072,plain,( 83.94/12.25 member(sK0(complement(complement(sF8))),sK2) | empty_set = complement(complement(sF8)) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_177)), 83.94/12.25 inference(resolution,[],[f272067,f222])). 83.94/12.25 tff(f272067,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,complement(sF8)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_177)), 83.94/12.25 inference(subsumption_resolution,[],[f272062,f268950])). 83.94/12.25 tff(f272062,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,complement(sF8)) | singleton(X0) = empty_set | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_177)), 83.94/12.25 inference(superposition,[],[f272010,f221])). 83.94/12.25 tff(f272010,plain,( 83.94/12.25 ( ! [X0 : element] : (member(sK0(singleton(X0)),sK2) | member(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_7 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_177)), 83.94/12.25 inference(resolution,[],[f272002,f272])). 83.94/12.25 tff(f272002,plain,( 83.94/12.25 ( ! [X0 : element] : (member(sK0(singleton(X0)),sF18) | member(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_177)), 83.94/12.25 inference(subsumption_resolution,[],[f271979,f268950])). 83.94/12.25 tff(f272088,plain,( 83.94/12.25 spl19_925 | ~spl19_926 | ~spl19_5 | ~spl19_18 | ~spl19_20), 83.94/12.25 inference(avatar_split_clause,[],[f269035,f181,f158,f106,f272086,f272083])). 83.94/12.25 tff(f269035,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = union(singleton(X0),sF9) | 0 != $sum(1,cardinality(sF9)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(superposition,[],[f49,f93100])). 83.94/12.25 tff(f272068,plain,( 83.94/12.25 spl19_919 | spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_60 | ~spl19_177), 83.94/12.25 inference(avatar_split_clause,[],[f272065,f53427,f1019,f264,f181,f158,f138,f126,f114,f106,f90,f271845])). 83.94/12.25 tff(f272065,plain,( 83.94/12.25 member(sK7,complement(sF8)) | (spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_60 | ~spl19_177)), 83.94/12.25 inference(subsumption_resolution,[],[f272064,f91])). 83.94/12.25 tff(f272064,plain,( 83.94/12.25 member(sK7,complement(sF8)) | member(sK7,sK2) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_60 | ~spl19_177)), 83.94/12.25 inference(forward_demodulation,[],[f272059,f1020])). 83.94/12.25 tff(f272059,plain,( 83.94/12.25 member(sK0(sF13),sK2) | member(sK7,complement(sF8)) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_177)), 83.94/12.25 inference(superposition,[],[f272010,f127])). 83.94/12.25 tff(f272036,plain,( 83.94/12.25 spl19_919 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_25 | ~spl19_26 | ~spl19_60 | ~spl19_145 | ~spl19_177), 83.94/12.25 inference(avatar_split_clause,[],[f272032,f53427,f52201,f1019,f264,f216,f181,f158,f138,f126,f106,f271845])). 83.94/12.25 tff(f272032,plain,( 83.94/12.25 member(sK7,complement(sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_25 | ~spl19_26 | ~spl19_60 | ~spl19_145 | ~spl19_177)), 83.94/12.25 inference(subsumption_resolution,[],[f272031,f217])). 83.94/12.25 tff(f272031,plain,( 83.94/12.25 member(sK7,complement(sF8)) | ~member(sK7,sF13) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_60 | ~spl19_145 | ~spl19_177)), 83.94/12.25 inference(forward_demodulation,[],[f272027,f1020])). 83.94/12.25 tff(f272027,plain,( 83.94/12.25 ~member(sK0(sF13),sF13) | member(sK7,complement(sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_145 | ~spl19_177)), 83.94/12.25 inference(superposition,[],[f272008,f127])). 83.94/12.25 tff(f272008,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(sK0(singleton(X0)),sF13) | member(X0,complement(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_145 | ~spl19_177)), 83.94/12.25 inference(resolution,[],[f272002,f52220])). 83.94/12.25 tff(f272007,plain,( 83.94/12.25 spl19_919 | spl19_924 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_145), 83.94/12.25 inference(avatar_split_clause,[],[f272003,f52201,f158,f138,f126,f106,f272005,f271845])). 83.94/12.25 tff(f272005,plain,( 83.94/12.25 spl19_924 <=> ! [X0 : element] : ~member(X0,sF13)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_924])])). 83.94/12.25 tff(f272003,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF13) | member(sK7,complement(sF8))) ) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(subsumption_resolution,[],[f271999,f52220])). 83.94/12.25 tff(f271999,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | member(sK7,complement(sF8)) | ~member(X0,sF13)) ) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f271970,f127])). 83.94/12.25 tff(f271977,plain,( 83.94/12.25 spl19_922 | spl19_307 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f271953,f158,f138,f122,f106,f57598,f271913])). 83.94/12.25 tff(f271913,plain,( 83.94/12.25 spl19_922 <=> member(sK6,complement(sF8))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_922])])). 83.94/12.25 tff(f57598,plain,( 83.94/12.25 spl19_307 <=> empty_set = difference(sF11,sF18)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_307])])). 83.94/12.25 tff(f271953,plain,( 83.94/12.25 member(sK6,complement(sF8)) | empty_set = difference(sF11,sF18) | (~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f271874,f123])). 83.94/12.25 tff(f271976,plain,( 83.94/12.25 spl19_919 | spl19_923 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f271951,f158,f138,f126,f106,f271917,f271845])). 83.94/12.25 tff(f271917,plain,( 83.94/12.25 spl19_923 <=> empty_set = difference(sF13,sF18)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_923])])). 83.94/12.25 tff(f271951,plain,( 83.94/12.25 empty_set = difference(sF13,sF18) | member(sK7,complement(sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f271874,f127])). 83.94/12.25 tff(f271919,plain,( 83.94/12.25 spl19_919 | spl19_923 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f271872,f158,f138,f126,f106,f271917,f271845])). 83.94/12.25 tff(f271872,plain,( 83.94/12.25 empty_set = difference(sF13,sF18) | member(sK7,complement(sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f271867])). 83.94/12.25 tff(f271867,plain,( 83.94/12.25 empty_set = difference(sF13,sF18) | member(sK7,complement(sF8)) | empty_set = difference(sF13,sF18) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f271721,f5006])). 83.94/12.25 tff(f271915,plain,( 83.94/12.25 spl19_307 | spl19_922 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f271871,f158,f138,f122,f106,f271913,f57598])). 83.94/12.25 tff(f271871,plain,( 83.94/12.25 empty_set = difference(sF11,sF18) | member(sK6,complement(sF8)) | (~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f271868])). 83.94/12.25 tff(f271868,plain,( 83.94/12.25 member(sK6,complement(sF8)) | empty_set = difference(sF11,sF18) | empty_set = difference(sF11,sF18) | (~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f271721,f5002])). 83.94/12.25 tff(f5002,plain,( 83.94/12.25 ( ! [X0 : set] : (sK6 = sK0(difference(sF11,X0)) | empty_set = difference(sF11,X0)) ) | ~spl19_9), 83.94/12.25 inference(resolution,[],[f245,f205])). 83.94/12.25 tff(f271885,plain,( 83.94/12.25 spl19_61 | spl19_2 | ~spl19_917), 83.94/12.25 inference(avatar_split_clause,[],[f271862,f271776,f94,f1281])). 83.94/12.25 tff(f1281,plain,( 83.94/12.25 spl19_61 <=> empty_set = sK4), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_61])])). 83.94/12.25 tff(f271776,plain,( 83.94/12.25 spl19_917 <=> sK1 = sK0(sK4)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_917])])). 83.94/12.25 tff(f271862,plain,( 83.94/12.25 empty_set = sK4 | (spl19_2 | ~spl19_917)), 83.94/12.25 inference(subsumption_resolution,[],[f271861,f95])). 83.94/12.25 tff(f271861,plain,( 83.94/12.25 empty_set = sK4 | member(sK1,sK4) | ~spl19_917), 83.94/12.25 inference(superposition,[],[f59,f271777])). 83.94/12.25 tff(f271777,plain,( 83.94/12.25 sK1 = sK0(sK4) | ~spl19_917), 83.94/12.25 inference(avatar_component_clause,[],[f271776])). 83.94/12.25 tff(f271879,plain,( 83.94/12.25 spl19_921 | ~spl19_5 | ~spl19_13 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f271873,f158,f138,f106,f271877])). 83.94/12.25 tff(f271877,plain,( 83.94/12.25 spl19_921 <=> empty_set = difference(complement(complement(sF8)),sF18)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_921])])). 83.94/12.25 tff(f271873,plain,( 83.94/12.25 empty_set = difference(complement(complement(sF8)),sF18) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f271863])). 83.94/12.25 tff(f271863,plain,( 83.94/12.25 empty_set = difference(complement(complement(sF8)),sF18) | empty_set = difference(complement(complement(sF8)),sF18) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f271721,f4993])). 83.94/12.25 tff(f271851,plain,( 83.94/12.25 spl19_920 | ~spl19_16 | ~spl19_914), 83.94/12.25 inference(avatar_split_clause,[],[f271719,f271681,f150,f271849])). 83.94/12.25 tff(f271849,plain,( 83.94/12.25 spl19_920 <=> member(sK0(sK4),sF14)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_920])])). 83.94/12.25 tff(f271681,plain,( 83.94/12.25 spl19_914 <=> member(sK0(sK4),sF12)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_914])])). 83.94/12.25 tff(f271719,plain,( 83.94/12.25 member(sK0(sK4),sF14) | (~spl19_16 | ~spl19_914)), 83.94/12.25 inference(resolution,[],[f271682,f244])). 83.94/12.25 tff(f244,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF12) | member(X0,sF14)) ) | ~spl19_16), 83.94/12.25 inference(superposition,[],[f54,f151])). 83.94/12.25 tff(f271682,plain,( 83.94/12.25 member(sK0(sK4),sF12) | ~spl19_914), 83.94/12.25 inference(avatar_component_clause,[],[f271681])). 83.94/12.25 tff(f271847,plain,( 83.94/12.25 spl19_919 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_60 | spl19_147 | ~spl19_177), 83.94/12.25 inference(avatar_split_clause,[],[f271842,f53427,f52209,f1019,f264,f181,f158,f138,f126,f106,f271845])). 83.94/12.25 tff(f271842,plain,( 83.94/12.25 member(sK7,complement(sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_60 | spl19_147 | ~spl19_177)), 83.94/12.25 inference(forward_demodulation,[],[f271841,f1020])). 83.94/12.25 tff(f271841,plain,( 83.94/12.25 member(sK0(sF13),complement(sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | spl19_147 | ~spl19_177)), 83.94/12.25 inference(subsumption_resolution,[],[f271837,f84082])). 83.94/12.25 tff(f271837,plain,( 83.94/12.25 member(sK0(sF13),complement(sF8)) | member(sK7,sF18) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_177)), 83.94/12.25 inference(superposition,[],[f271817,f127])). 83.94/12.25 tff(f271817,plain,( 83.94/12.25 ( ! [X0 : element] : (member(sK0(singleton(X0)),complement(sF8)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_177)), 83.94/12.25 inference(subsumption_resolution,[],[f271793,f268950])). 83.94/12.25 tff(f271843,plain,( 83.94/12.25 spl19_62 | spl19_61 | ~spl19_13), 83.94/12.25 inference(avatar_split_clause,[],[f2305,f138,f1281,f1284])). 83.94/12.25 tff(f2305,plain,( 83.94/12.25 member(sK0(sK4),sF9) | empty_set = sK4 | ~spl19_13), 83.94/12.25 inference(resolution,[],[f240,f59])). 83.94/12.25 tff(f271835,plain,( 83.94/12.25 spl19_918 | ~spl19_14 | ~spl19_913), 83.94/12.25 inference(avatar_split_clause,[],[f271712,f271677,f142,f271833])). 83.94/12.25 tff(f271833,plain,( 83.94/12.25 spl19_918 <=> member(sK0(sK4),sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_918])])). 83.94/12.25 tff(f271712,plain,( 83.94/12.25 member(sK0(sK4),sF10) | (~spl19_14 | ~spl19_913)), 83.94/12.25 inference(resolution,[],[f271678,f236])). 83.94/12.25 tff(f236,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF8) | member(X0,sF10)) ) | ~spl19_14), 83.94/12.25 inference(superposition,[],[f53,f143])). 83.94/12.25 tff(f271678,plain,( 83.94/12.25 member(sK0(sK4),sF8) | ~spl19_913), 83.94/12.25 inference(avatar_component_clause,[],[f271677])). 83.94/12.25 tff(f271818,plain,( 83.94/12.25 spl19_61 | spl19_62 | ~spl19_13), 83.94/12.25 inference(avatar_split_clause,[],[f664,f138,f1284,f1281])). 83.94/12.25 tff(f664,plain,( 83.94/12.25 member(sK0(sK4),sF9) | empty_set = sK4 | ~spl19_13), 83.94/12.25 inference(resolution,[],[f240,f59])). 83.94/12.25 tff(f271778,plain,( 83.94/12.25 spl19_917 | ~spl19_8 | ~spl19_913), 83.94/12.25 inference(avatar_split_clause,[],[f271710,f271677,f118,f271776])). 83.94/12.25 tff(f271710,plain,( 83.94/12.25 sK1 = sK0(sK4) | (~spl19_8 | ~spl19_913)), 83.94/12.25 inference(resolution,[],[f271678,f204])). 83.94/12.25 tff(f271767,plain,( 83.94/12.25 spl19_916 | ~spl19_90 | ~spl19_746), 83.94/12.25 inference(avatar_split_clause,[],[f271707,f204981,f2529,f271765])). 83.94/12.25 tff(f2529,plain,( 83.94/12.25 spl19_90 <=> member(sK0(sF10),sF12)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_90])])). 83.94/12.25 tff(f271707,plain,( 83.94/12.25 member(sK0(sF10),sF18) | (~spl19_90 | ~spl19_746)), 83.94/12.25 inference(resolution,[],[f2530,f205076])). 83.94/12.25 tff(f2530,plain,( 83.94/12.25 member(sK0(sF10),sF12) | ~spl19_90), 83.94/12.25 inference(avatar_component_clause,[],[f2529])). 83.94/12.25 tff(f271687,plain,( 83.94/12.25 spl19_915 | ~spl19_5 | ~spl19_13 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f271668,f158,f138,f106,f271685])). 83.94/12.25 tff(f271685,plain,( 83.94/12.25 spl19_915 <=> empty_set = difference(complement(sF18),complement(sF8))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_915])])). 83.94/12.25 tff(f271668,plain,( 83.94/12.25 empty_set = difference(complement(sF18),complement(sF8)) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f271655])). 83.94/12.25 tff(f271655,plain,( 83.94/12.25 empty_set = difference(complement(sF18),complement(sF8)) | empty_set = difference(complement(sF18),complement(sF8)) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f269392,f4993])). 83.94/12.25 tff(f271683,plain,( 83.94/12.25 spl19_914 | ~spl19_62 | ~spl19_305), 83.94/12.25 inference(avatar_split_clause,[],[f271675,f57322,f1284,f271681])). 83.94/12.25 tff(f271675,plain,( 83.94/12.25 member(sK0(sK4),sF12) | (~spl19_62 | ~spl19_305)), 83.94/12.25 inference(resolution,[],[f1285,f268971])). 83.94/12.25 tff(f271679,plain,( 83.94/12.25 spl19_913 | ~spl19_62 | ~spl19_306), 83.94/12.25 inference(avatar_split_clause,[],[f271674,f57497,f1284,f271677])). 83.94/12.25 tff(f57497,plain,( 83.94/12.25 spl19_306 <=> empty_set = difference(sF9,sF8)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_306])])). 83.94/12.25 tff(f271674,plain,( 83.94/12.25 member(sK0(sK4),sF8) | (~spl19_62 | ~spl19_306)), 83.94/12.25 inference(resolution,[],[f1285,f268884])). 83.94/12.25 tff(f268884,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF8)) ) | ~spl19_306), 83.94/12.25 inference(subsumption_resolution,[],[f57503,f162])). 83.94/12.25 tff(f57503,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF8) | ~member(X0,sF9) | member(X0,empty_set)) ) | ~spl19_306), 83.94/12.25 inference(superposition,[],[f61,f57498])). 83.94/12.25 tff(f57498,plain,( 83.94/12.25 empty_set = difference(sF9,sF8) | ~spl19_306), 83.94/12.25 inference(avatar_component_clause,[],[f57497])). 83.94/12.25 tff(f271618,plain,( 83.94/12.25 spl19_912 | ~spl19_59 | ~spl19_10 | ~spl19_20 | ~spl19_164), 83.94/12.25 inference(avatar_split_clause,[],[f96294,f52974,f181,f126,f1016,f271616])). 83.94/12.25 tff(f271616,plain,( 83.94/12.25 spl19_912 <=> ! [X0 : element] : (~member(X0,sK5) | 1 = cardinality(union(sF13,singleton(X0))))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_912])])). 83.94/12.25 tff(f52974,plain,( 83.94/12.25 spl19_164 <=> empty_set = intersection(sF13,sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_164])])). 83.94/12.25 tff(f96294,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sK5) | 1 = cardinality(union(sF13,singleton(X0))) | empty_set != sF13) ) | (~spl19_10 | ~spl19_20 | ~spl19_164)), 83.94/12.25 inference(forward_demodulation,[],[f96200,f6730])). 83.94/12.25 tff(f96200,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sK5) | cardinality(singleton(X0)) = cardinality(union(sF13,singleton(X0))) | empty_set != sF13) ) | (~spl19_10 | ~spl19_164)), 83.94/12.25 inference(superposition,[],[f364,f94205])). 83.94/12.25 tff(f94205,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF13,singleton(X0)) | ~member(X0,sK5)) ) | ~spl19_164), 83.94/12.25 inference(duplicate_literal_removal,[],[f94174])). 83.94/12.25 tff(f94174,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF13,singleton(X0)) | ~member(X0,sK5) | empty_set = intersection(sF13,singleton(X0))) ) | ~spl19_164), 83.94/12.25 inference(superposition,[],[f53000,f4898])). 83.94/12.25 tff(f53000,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(intersection(sF13,X0)),sK5) | empty_set = intersection(sF13,X0)) ) | ~spl19_164), 83.94/12.25 inference(resolution,[],[f52998,f233])). 83.94/12.25 tff(f52998,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF13) | ~member(X0,sK5)) ) | ~spl19_164), 83.94/12.25 inference(subsumption_resolution,[],[f52992,f162])). 83.94/12.25 tff(f52992,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF13) | member(X0,empty_set) | ~member(X0,sK5)) ) | ~spl19_164), 83.94/12.25 inference(superposition,[],[f46,f52975])). 83.94/12.25 tff(f52975,plain,( 83.94/12.25 empty_set = intersection(sF13,sK5) | ~spl19_164), 83.94/12.25 inference(avatar_component_clause,[],[f52974])). 83.94/12.25 tff(f271614,plain,( 83.94/12.25 spl19_908 | ~spl19_7 | ~spl19_906), 83.94/12.25 inference(avatar_split_clause,[],[f270855,f270847,f114,f270857])). 83.94/12.25 tff(f270847,plain,( 83.94/12.25 spl19_906 <=> member(sK0(complement(complement(sF8))),sF18)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_906])])). 83.94/12.25 tff(f270855,plain,( 83.94/12.25 member(sK0(complement(complement(sF8))),sK2) | (~spl19_7 | ~spl19_906)), 83.94/12.25 inference(resolution,[],[f270848,f272])). 83.94/12.25 tff(f270848,plain,( 83.94/12.25 member(sK0(complement(complement(sF8))),sF18) | ~spl19_906), 83.94/12.25 inference(avatar_component_clause,[],[f270847])). 83.94/12.25 tff(f271613,plain,( 83.94/12.25 spl19_911 | ~spl19_55 | ~spl19_8 | ~spl19_13 | ~spl19_20 | ~spl19_95), 83.94/12.25 inference(avatar_split_clause,[],[f96073,f5373,f181,f138,f118,f607,f271611])). 83.94/12.25 tff(f271611,plain,( 83.94/12.25 spl19_911 <=> ! [X0 : element] : (1 = cardinality(union(sF8,singleton(X0))) | member(X0,sF18))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_911])])). 83.94/12.25 tff(f96073,plain,( 83.94/12.25 ( ! [X0 : element] : (1 = cardinality(union(sF8,singleton(X0))) | empty_set != sF8 | member(X0,sF18)) ) | (~spl19_8 | ~spl19_13 | ~spl19_20 | ~spl19_95)), 83.94/12.25 inference(forward_demodulation,[],[f96016,f6730])). 83.94/12.25 tff(f96016,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != sF8 | member(X0,sF18) | cardinality(singleton(X0)) = cardinality(union(sF8,singleton(X0)))) ) | (~spl19_8 | ~spl19_13 | ~spl19_95)), 83.94/12.25 inference(superposition,[],[f362,f94198])). 83.94/12.25 tff(f94198,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF8,singleton(X0)) | member(X0,sF18)) ) | (~spl19_13 | ~spl19_95)), 83.94/12.25 inference(duplicate_literal_removal,[],[f94161])). 83.94/12.25 tff(f94161,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | empty_set = intersection(sF8,singleton(X0)) | empty_set = intersection(sF8,singleton(X0))) ) | (~spl19_13 | ~spl19_95)), 83.94/12.25 inference(superposition,[],[f47226,f4898])). 83.94/12.25 tff(f271609,plain,( 83.94/12.25 ~spl19_57 | spl19_910 | ~spl19_9 | ~spl19_20 | ~spl19_355), 83.94/12.25 inference(avatar_split_clause,[],[f96009,f66825,f181,f122,f271607,f682])). 83.94/12.25 tff(f271607,plain,( 83.94/12.25 spl19_910 <=> ! [X0 : element] : (1 = cardinality(union(sF11,singleton(X0))) | member(X0,sK2))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_910])])). 83.94/12.25 tff(f96009,plain,( 83.94/12.25 ( ! [X0 : element] : (1 = cardinality(union(sF11,singleton(X0))) | empty_set != sF11 | member(X0,sK2)) ) | (~spl19_9 | ~spl19_20 | ~spl19_355)), 83.94/12.25 inference(forward_demodulation,[],[f95905,f6730])). 83.94/12.25 tff(f95905,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sK2) | empty_set != sF11 | cardinality(singleton(X0)) = cardinality(union(sF11,singleton(X0)))) ) | (~spl19_9 | ~spl19_355)), 83.94/12.25 inference(superposition,[],[f363,f94181])). 83.94/12.25 tff(f94181,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF11,singleton(X0)) | member(X0,sK2)) ) | ~spl19_355), 83.94/12.25 inference(duplicate_literal_removal,[],[f94170])). 83.94/12.25 tff(f94170,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF11,singleton(X0)) | member(X0,sK2) | empty_set = intersection(sF11,singleton(X0))) ) | ~spl19_355), 83.94/12.25 inference(superposition,[],[f67097,f4898])). 83.94/12.25 tff(f67097,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF11,X0)),sK2) | empty_set = intersection(sF11,X0)) ) | ~spl19_355), 83.94/12.25 inference(resolution,[],[f67071,f233])). 83.94/12.25 tff(f271302,plain,( 83.94/12.25 spl19_887 | ~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_20 | ~spl19_25 | ~spl19_145), 83.94/12.25 inference(avatar_split_clause,[],[f271301,f52201,f216,f181,f158,f126,f106,f269203])). 83.94/12.25 tff(f269203,plain,( 83.94/12.25 spl19_887 <=> $sum(1,cardinality(sF9)) = cardinality(union(sF9,sF13))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_887])])). 83.94/12.25 tff(f271301,plain,( 83.94/12.25 $sum(1,cardinality(sF9)) = cardinality(union(sF9,sF13)) | (~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_20 | ~spl19_25 | ~spl19_145)), 83.94/12.25 inference(subsumption_resolution,[],[f271289,f217])). 83.94/12.25 tff(f271289,plain,( 83.94/12.25 $sum(1,cardinality(sF9)) = cardinality(union(sF9,sF13)) | ~member(sK7,sF13) | (~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_20 | ~spl19_145)), 83.94/12.25 inference(superposition,[],[f97120,f127])). 83.94/12.25 tff(f97120,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF9)) = cardinality(union(sF9,singleton(X0))) | ~member(X0,sF13)) ) | (~spl19_5 | ~spl19_18 | ~spl19_20 | ~spl19_145)), 83.94/12.25 inference(forward_demodulation,[],[f97119,f15])). 83.94/12.25 tff(f97119,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(cardinality(sF9),1) = cardinality(union(sF9,singleton(X0))) | ~member(X0,sF13)) ) | (~spl19_5 | ~spl19_18 | ~spl19_20 | ~spl19_145)), 83.94/12.25 inference(forward_demodulation,[],[f97116,f6730])). 83.94/12.25 tff(f97116,plain,( 83.94/12.25 ( ! [X0 : element] : (cardinality(union(sF9,singleton(X0))) = $sum(cardinality(sF9),cardinality(singleton(X0))) | ~member(X0,sF13)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(trivial_inequality_removal,[],[f97079])). 83.94/12.25 tff(f97079,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != empty_set | cardinality(union(sF9,singleton(X0))) = $sum(cardinality(sF9),cardinality(singleton(X0))) | ~member(X0,sF13)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(superposition,[],[f73,f94201])). 83.94/12.25 tff(f94201,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF9,singleton(X0)) | ~member(X0,sF13)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(duplicate_literal_removal,[],[f94165])). 83.94/12.25 tff(f94165,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF9,singleton(X0)) | empty_set = intersection(sF9,singleton(X0)) | ~member(X0,sF13)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(superposition,[],[f52335,f4898])). 83.94/12.25 tff(f271286,plain,( 83.94/12.25 spl19_886 | ~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_25 | ~spl19_145), 83.94/12.25 inference(avatar_split_clause,[],[f271282,f52201,f216,f158,f126,f106,f269199])). 83.94/12.25 tff(f269199,plain,( 83.94/12.25 spl19_886 <=> $sum(1,cardinality(sF9)) = cardinality(union(sF13,sF9))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_886])])). 83.94/12.25 tff(f271282,plain,( 83.94/12.25 $sum(1,cardinality(sF9)) = cardinality(union(sF13,sF9)) | (~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_25 | ~spl19_145)), 83.94/12.25 inference(subsumption_resolution,[],[f271270,f217])). 83.94/12.25 tff(f271270,plain,( 83.94/12.25 $sum(1,cardinality(sF9)) = cardinality(union(sF13,sF9)) | ~member(sK7,sF13) | (~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(superposition,[],[f97026,f127])). 83.94/12.25 tff(f97026,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF9)) = cardinality(union(singleton(X0),sF9)) | ~member(X0,sF13)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(trivial_inequality_removal,[],[f96984])). 83.94/12.25 tff(f96984,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF9)) = cardinality(union(singleton(X0),sF9)) | empty_set != empty_set | ~member(X0,sF13)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(superposition,[],[f404,f92316])). 83.94/12.25 tff(f92316,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF9) | ~member(X0,sF13)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(duplicate_literal_removal,[],[f92291])). 83.94/12.25 tff(f92291,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF9) | empty_set = intersection(singleton(X0),sF9) | ~member(X0,sF13)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(superposition,[],[f52332,f4842])). 83.94/12.25 tff(f270886,plain,( 83.94/12.25 ~spl19_909 | spl19_55 | ~spl19_8 | ~spl19_488 | ~spl19_511), 83.94/12.25 inference(avatar_split_clause,[],[f105593,f105383,f95602,f118,f607,f270884])). 83.94/12.25 tff(f270884,plain,( 83.94/12.25 spl19_909 <=> cardinality(complement(sF18)) = $sum(1,cardinality(complement(sF18)))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_909])])). 83.94/12.25 tff(f95602,plain,( 83.94/12.25 spl19_488 <=> empty_set = intersection(sF8,complement(sF18))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_488])])). 83.94/12.25 tff(f105383,plain,( 83.94/12.25 spl19_511 <=> $sum(1,cardinality(complement(sF18))) = cardinality(union(sF8,complement(sF18)))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_511])])). 83.94/12.25 tff(f105593,plain,( 83.94/12.25 empty_set = sF8 | cardinality(complement(sF18)) != $sum(1,cardinality(complement(sF18))) | (~spl19_8 | ~spl19_488 | ~spl19_511)), 83.94/12.25 inference(forward_demodulation,[],[f105586,f95603])). 83.94/12.25 tff(f95603,plain,( 83.94/12.25 empty_set = intersection(sF8,complement(sF18)) | ~spl19_488), 83.94/12.25 inference(avatar_component_clause,[],[f95602])). 83.94/12.25 tff(f105586,plain,( 83.94/12.25 cardinality(complement(sF18)) != $sum(1,cardinality(complement(sF18))) | sF8 = intersection(sF8,complement(sF18)) | (~spl19_8 | ~spl19_511)), 83.94/12.25 inference(superposition,[],[f365,f105384])). 83.94/12.25 tff(f105384,plain,( 83.94/12.25 $sum(1,cardinality(complement(sF18))) = cardinality(union(sF8,complement(sF18))) | ~spl19_511), 83.94/12.25 inference(avatar_component_clause,[],[f105383])). 83.94/12.25 tff(f270859,plain,( 83.94/12.25 spl19_908 | spl19_907 | ~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18 | ~spl19_41), 83.94/12.25 inference(avatar_split_clause,[],[f270386,f488,f158,f118,f114,f106,f270850,f270857])). 83.94/12.25 tff(f270386,plain,( 83.94/12.25 empty_set = complement(complement(sF8)) | member(sK0(complement(complement(sF8))),sK2) | (~spl19_5 | ~spl19_7 | ~spl19_8 | ~spl19_18 | ~spl19_41)), 83.94/12.25 inference(resolution,[],[f270370,f753])). 83.94/12.25 tff(f270852,plain,( 83.94/12.25 spl19_906 | spl19_907 | ~spl19_5 | ~spl19_13 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f269386,f158,f138,f106,f270850,f270847])). 83.94/12.25 tff(f269386,plain,( 83.94/12.25 empty_set = complement(complement(sF8)) | member(sK0(complement(complement(sF8))),sF18) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f269374,f753])). 83.94/12.25 tff(f270674,plain,( 83.94/12.25 spl19_887 | spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_20), 83.94/12.25 inference(avatar_split_clause,[],[f270658,f181,f158,f126,f114,f106,f90,f269203])). 83.94/12.25 tff(f270658,plain,( 83.94/12.25 $sum(1,cardinality(sF9)) = cardinality(union(sF9,sF13)) | (spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(subsumption_resolution,[],[f270646,f91])). 83.94/12.25 tff(f270646,plain,( 83.94/12.25 member(sK7,sK2) | $sum(1,cardinality(sF9)) = cardinality(union(sF9,sF13)) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(superposition,[],[f94354,f127])). 83.94/12.25 tff(f94354,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF9)) = cardinality(union(sF9,singleton(X0))) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(forward_demodulation,[],[f94353,f15])). 83.94/12.25 tff(f94353,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sK2) | $sum(cardinality(sF9),1) = cardinality(union(sF9,singleton(X0)))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(forward_demodulation,[],[f94322,f6730])). 83.94/12.25 tff(f94322,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sK2) | cardinality(union(sF9,singleton(X0))) = $sum(cardinality(sF9),cardinality(singleton(X0)))) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.25 inference(trivial_inequality_removal,[],[f94285])). 83.94/12.25 tff(f94285,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != empty_set | cardinality(union(sF9,singleton(X0))) = $sum(cardinality(sF9),cardinality(singleton(X0))) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f73,f94200])). 83.94/12.25 tff(f94200,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF9,singleton(X0)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f94168])). 83.94/12.25 tff(f94168,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(sF9,singleton(X0)) | empty_set = intersection(sF9,singleton(X0)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f4953,f4898])). 83.94/12.25 tff(f4953,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF9,X0)),sK2) | empty_set = intersection(sF9,X0)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f4921,f272])). 83.94/12.25 tff(f270673,plain,( 83.94/12.25 spl19_886 | spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f270534,f158,f126,f114,f106,f90,f269199])). 83.94/12.25 tff(f270534,plain,( 83.94/12.25 $sum(1,cardinality(sF9)) = cardinality(union(sF13,sF9)) | (spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.94/12.25 inference(subsumption_resolution,[],[f270519,f91])). 83.94/12.25 tff(f270519,plain,( 83.94/12.25 member(sK7,sK2) | $sum(1,cardinality(sF9)) = cardinality(union(sF13,sF9)) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f93270,f127])). 83.94/12.25 tff(f93270,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF9)) = cardinality(union(singleton(X0),sF9)) | member(X0,sK2)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.25 inference(trivial_inequality_removal,[],[f93227])). 83.94/12.25 tff(f93227,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF9)) = cardinality(union(singleton(X0),sF9)) | member(X0,sK2) | empty_set != empty_set) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f404,f92318])). 83.94/12.25 tff(f270374,plain,( 83.94/12.25 spl19_55 | ~spl19_905 | ~spl19_8 | ~spl19_486 | ~spl19_509), 83.94/12.25 inference(avatar_split_clause,[],[f105368,f105344,f95308,f118,f270372,f607])). 83.94/12.25 tff(f270372,plain,( 83.94/12.25 spl19_905 <=> cardinality(complement(sK5)) = $sum(1,cardinality(complement(sK5)))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_905])])). 83.94/12.25 tff(f95308,plain,( 83.94/12.25 spl19_486 <=> empty_set = intersection(sF8,complement(sK5))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_486])])). 83.94/12.25 tff(f105344,plain,( 83.94/12.25 spl19_509 <=> $sum(1,cardinality(complement(sK5))) = cardinality(union(sF8,complement(sK5)))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_509])])). 83.94/12.25 tff(f105368,plain,( 83.94/12.25 empty_set = sF8 | cardinality(complement(sK5)) != $sum(1,cardinality(complement(sK5))) | (~spl19_8 | ~spl19_486 | ~spl19_509)), 83.94/12.25 inference(forward_demodulation,[],[f105361,f95309])). 83.94/12.25 tff(f95309,plain,( 83.94/12.25 empty_set = intersection(sF8,complement(sK5)) | ~spl19_486), 83.94/12.25 inference(avatar_component_clause,[],[f95308])). 83.94/12.25 tff(f105361,plain,( 83.94/12.25 sF8 = intersection(sF8,complement(sK5)) | cardinality(complement(sK5)) != $sum(1,cardinality(complement(sK5))) | (~spl19_8 | ~spl19_509)), 83.94/12.25 inference(superposition,[],[f365,f105345])). 83.94/12.25 tff(f105345,plain,( 83.94/12.25 $sum(1,cardinality(complement(sK5))) = cardinality(union(sF8,complement(sK5))) | ~spl19_509), 83.94/12.25 inference(avatar_component_clause,[],[f105344])). 83.94/12.25 tff(f270255,plain,( 83.94/12.25 spl19_904 | ~spl19_16 | ~spl19_899), 83.94/12.25 inference(avatar_split_clause,[],[f270205,f269827,f150,f270253])). 83.94/12.25 tff(f270253,plain,( 83.94/12.25 spl19_904 <=> member(sK0(intersection(sF9,sF14)),sF14)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_904])])). 83.94/12.25 tff(f270205,plain,( 83.94/12.25 member(sK0(intersection(sF9,sF14)),sF14) | (~spl19_16 | ~spl19_899)), 83.94/12.25 inference(resolution,[],[f269828,f244])). 83.94/12.25 tff(f270213,plain,( 83.94/12.25 spl19_903 | ~spl19_16 | ~spl19_896), 83.94/12.25 inference(avatar_split_clause,[],[f270161,f269816,f150,f270211])). 83.94/12.25 tff(f270211,plain,( 83.94/12.25 spl19_903 <=> member(sK0(intersection(sF14,sF9)),sF14)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_903])])). 83.94/12.25 tff(f270161,plain,( 83.94/12.25 member(sK0(intersection(sF14,sF9)),sF14) | (~spl19_16 | ~spl19_896)), 83.94/12.25 inference(resolution,[],[f269817,f244])). 83.94/12.25 tff(f270209,plain,( 83.94/12.25 spl19_902 | ~spl19_16 | ~spl19_894), 83.94/12.25 inference(avatar_split_clause,[],[f270122,f269793,f150,f270207])). 83.94/12.25 tff(f270122,plain,( 83.94/12.25 member(sK0(intersection(sF14,sK5)),sF14) | (~spl19_16 | ~spl19_894)), 83.94/12.25 inference(resolution,[],[f269794,f244])). 83.94/12.25 tff(f270203,plain,( 83.94/12.25 ~spl19_41 | ~spl19_54 | ~spl19_900), 83.94/12.25 inference(avatar_contradiction_clause,[],[f270202])). 83.94/12.25 tff(f270202,plain,( 83.94/12.25 $false | (~spl19_41 | ~spl19_54 | ~spl19_900)), 83.94/12.25 inference(subsumption_resolution,[],[f270199,f489])). 83.94/12.25 tff(f270199,plain,( 83.94/12.25 ~member(sK1,sF9) | (~spl19_54 | ~spl19_900)), 83.94/12.25 inference(resolution,[],[f270084,f584])). 83.94/12.25 tff(f584,plain,( 83.94/12.25 member(sK1,sF14) | ~spl19_54), 83.94/12.25 inference(avatar_component_clause,[],[f583])). 83.94/12.25 tff(f583,plain,( 83.94/12.25 spl19_54 <=> member(sK1,sF14)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_54])])). 83.94/12.25 tff(f270084,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF14) | ~member(X0,sF9)) ) | ~spl19_900), 83.94/12.25 inference(subsumption_resolution,[],[f270071,f162])). 83.94/12.25 tff(f270071,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF14) | ~member(X0,sF9) | member(X0,empty_set)) ) | ~spl19_900), 83.94/12.25 inference(superposition,[],[f46,f269831])). 83.94/12.25 tff(f269831,plain,( 83.94/12.25 empty_set = intersection(sF9,sF14) | ~spl19_900), 83.94/12.25 inference(avatar_component_clause,[],[f269830])). 83.94/12.25 tff(f269830,plain,( 83.94/12.25 spl19_900 <=> empty_set = intersection(sF9,sF14)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_900])])). 83.94/12.25 tff(f270166,plain,( 83.94/12.25 spl19_901 | ~spl19_16 | ~spl19_897), 83.94/12.25 inference(avatar_split_clause,[],[f269865,f269820,f150,f270164])). 83.94/12.25 tff(f269865,plain,( 83.94/12.25 member(sK0(intersection(sK5,sF14)),sF14) | (~spl19_16 | ~spl19_897)), 83.94/12.25 inference(resolution,[],[f269821,f244])). 83.94/12.25 tff(f270162,plain,( 83.94/12.25 spl19_75 | spl19_43 | ~spl19_15 | ~spl19_81 | spl19_228), 83.94/12.25 inference(avatar_split_clause,[],[f270117,f54552,f1862,f146,f499,f1535])). 83.94/12.25 tff(f1535,plain,( 83.94/12.25 spl19_75 <=> empty_set = sF12), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_75])])). 83.94/12.25 tff(f499,plain,( 83.94/12.25 spl19_43 <=> member(sK1,sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_43])])). 83.94/12.25 tff(f1862,plain,( 83.94/12.25 spl19_81 <=> sK1 = sK0(sF12)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_81])])). 83.94/12.25 tff(f270117,plain,( 83.94/12.25 empty_set = sF12 | member(sK1,sF10) | (~spl19_15 | ~spl19_81 | spl19_228)), 83.94/12.25 inference(forward_demodulation,[],[f270116,f1863])). 83.94/12.25 tff(f1863,plain,( 83.94/12.25 sK1 = sK0(sF12) | ~spl19_81), 83.94/12.25 inference(avatar_component_clause,[],[f1862])). 83.94/12.25 tff(f270116,plain,( 83.94/12.25 member(sK0(sF12),sF10) | empty_set = sF12 | (~spl19_15 | ~spl19_81 | spl19_228)), 83.94/12.25 inference(subsumption_resolution,[],[f270115,f54915])). 83.94/12.25 tff(f270115,plain,( 83.94/12.25 member(sK0(sF12),sF10) | empty_set = sF12 | member(sK1,sF11) | (~spl19_15 | ~spl19_81)), 83.94/12.25 inference(forward_demodulation,[],[f270091,f1863])). 83.94/12.25 tff(f270091,plain,( 83.94/12.25 member(sK0(sF12),sF11) | member(sK0(sF12),sF10) | empty_set = sF12 | ~spl19_15), 83.94/12.25 inference(resolution,[],[f350,f59])). 83.94/12.25 tff(f270158,plain,( 83.94/12.25 ~spl19_41 | ~spl19_54 | ~spl19_895), 83.94/12.25 inference(avatar_contradiction_clause,[],[f270157])). 83.94/12.25 tff(f270157,plain,( 83.94/12.25 $false | (~spl19_41 | ~spl19_54 | ~spl19_895)), 83.94/12.25 inference(subsumption_resolution,[],[f270155,f489])). 83.94/12.25 tff(f270155,plain,( 83.94/12.25 ~member(sK1,sF9) | (~spl19_54 | ~spl19_895)), 83.94/12.25 inference(resolution,[],[f269864,f584])). 83.94/12.25 tff(f269864,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF14) | ~member(X0,sF9)) ) | ~spl19_895), 83.94/12.25 inference(subsumption_resolution,[],[f269852,f162])). 83.94/12.25 tff(f269852,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF9) | ~member(X0,sF14)) ) | ~spl19_895), 83.94/12.25 inference(superposition,[],[f46,f269814])). 83.94/12.25 tff(f269814,plain,( 83.94/12.25 empty_set = intersection(sF14,sF9) | ~spl19_895), 83.94/12.25 inference(avatar_component_clause,[],[f269813])). 83.94/12.25 tff(f269813,plain,( 83.94/12.25 spl19_895 <=> empty_set = intersection(sF14,sF9)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_895])])). 83.94/12.25 tff(f270120,plain,( 83.94/12.25 spl19_43 | ~spl19_15 | ~spl19_52 | spl19_228), 83.94/12.25 inference(avatar_split_clause,[],[f270119,f54552,f563,f146,f499])). 83.94/12.25 tff(f270119,plain,( 83.94/12.25 member(sK1,sF10) | (~spl19_15 | ~spl19_52 | spl19_228)), 83.94/12.25 inference(subsumption_resolution,[],[f270111,f54915])). 83.94/12.25 tff(f270111,plain,( 83.94/12.25 member(sK1,sF11) | member(sK1,sF10) | (~spl19_15 | ~spl19_52)), 83.94/12.25 inference(resolution,[],[f350,f564])). 83.94/12.25 tff(f269997,plain,( 83.94/12.25 ~spl19_42 | ~spl19_54 | ~spl19_893), 83.94/12.25 inference(avatar_contradiction_clause,[],[f269996])). 83.94/12.25 tff(f269996,plain,( 83.94/12.25 $false | (~spl19_42 | ~spl19_54 | ~spl19_893)), 83.94/12.25 inference(subsumption_resolution,[],[f269993,f494])). 83.94/12.25 tff(f269993,plain,( 83.94/12.25 ~member(sK1,sK5) | (~spl19_54 | ~spl19_893)), 83.94/12.25 inference(resolution,[],[f269810,f584])). 83.94/12.25 tff(f269810,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF14) | ~member(X0,sK5)) ) | ~spl19_893), 83.94/12.25 inference(subsumption_resolution,[],[f269799,f162])). 83.94/12.25 tff(f269799,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF14) | ~member(X0,sK5)) ) | ~spl19_893), 83.94/12.25 inference(superposition,[],[f46,f269791])). 83.94/12.25 tff(f269791,plain,( 83.94/12.25 empty_set = intersection(sF14,sK5) | ~spl19_893), 83.94/12.25 inference(avatar_component_clause,[],[f269790])). 83.94/12.25 tff(f269790,plain,( 83.94/12.25 spl19_893 <=> empty_set = intersection(sF14,sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_893])])). 83.94/12.25 tff(f269832,plain,( 83.94/12.25 spl19_899 | spl19_900 | ~spl19_5 | ~spl19_16 | ~spl19_18 | ~spl19_145), 83.94/12.25 inference(avatar_split_clause,[],[f213277,f52201,f158,f150,f106,f269830,f269827])). 83.94/12.25 tff(f213277,plain,( 83.94/12.25 member(sK0(intersection(sF9,sF14)),sF12) | empty_set = intersection(sF9,sF14) | (~spl19_5 | ~spl19_16 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(duplicate_literal_removal,[],[f213261])). 83.94/12.25 tff(f213261,plain,( 83.94/12.25 empty_set = intersection(sF9,sF14) | empty_set = intersection(sF9,sF14) | member(sK0(intersection(sF9,sF14)),sF12) | (~spl19_5 | ~spl19_16 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(resolution,[],[f4918,f52335])). 83.94/12.25 tff(f4918,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF14)),sF13) | empty_set = intersection(X0,sF14) | member(sK0(intersection(X0,sF14)),sF12)) ) | ~spl19_16), 83.94/12.25 inference(resolution,[],[f234,f352])). 83.94/12.25 tff(f352,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF14) | member(X0,sF12) | member(X0,sF13)) ) | ~spl19_16), 83.94/12.25 inference(superposition,[],[f55,f151])). 83.94/12.25 tff(f269825,plain,( 83.94/12.25 spl19_897 | spl19_898 | ~spl19_16 | ~spl19_18 | ~spl19_145), 83.94/12.25 inference(avatar_split_clause,[],[f213275,f52201,f158,f150,f269823,f269820])). 83.94/12.25 tff(f213275,plain,( 83.94/12.25 empty_set = intersection(sK5,sF14) | member(sK0(intersection(sK5,sF14)),sF12) | (~spl19_16 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(duplicate_literal_removal,[],[f213259])). 83.94/12.25 tff(f213259,plain,( 83.94/12.25 member(sK0(intersection(sK5,sF14)),sF12) | empty_set = intersection(sK5,sF14) | empty_set = intersection(sK5,sF14) | (~spl19_16 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(resolution,[],[f4918,f52333])). 83.94/12.25 tff(f52333,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(intersection(sK5,X0)),sF13) | empty_set = intersection(sK5,X0)) ) | (~spl19_18 | ~spl19_145)), 83.94/12.25 inference(resolution,[],[f52220,f4849])). 83.94/12.25 tff(f4849,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(sK5,X0)),sF18) | empty_set = intersection(sK5,X0)) ) | ~spl19_18), 83.94/12.25 inference(resolution,[],[f233,f243])). 83.94/12.25 tff(f269818,plain,( 83.94/12.25 spl19_895 | spl19_896 | ~spl19_5 | ~spl19_16 | ~spl19_18 | ~spl19_145), 83.94/12.25 inference(avatar_split_clause,[],[f211701,f52201,f158,f150,f106,f269816,f269813])). 83.94/12.25 tff(f211701,plain,( 83.94/12.25 empty_set = intersection(sF14,sF9) | member(sK0(intersection(sF14,sF9)),sF12) | (~spl19_5 | ~spl19_16 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(duplicate_literal_removal,[],[f211680])). 83.94/12.25 tff(f211680,plain,( 83.94/12.25 empty_set = intersection(sF14,sF9) | empty_set = intersection(sF14,sF9) | member(sK0(intersection(sF14,sF9)),sF12) | (~spl19_5 | ~spl19_16 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(resolution,[],[f4862,f52332])). 83.94/12.25 tff(f4862,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF14,X0)),sF13) | empty_set = intersection(sF14,X0) | member(sK0(intersection(sF14,X0)),sF12)) ) | ~spl19_16), 83.94/12.25 inference(resolution,[],[f233,f352])). 83.94/12.25 tff(f269795,plain,( 83.94/12.25 spl19_893 | spl19_894 | ~spl19_16 | ~spl19_18 | ~spl19_145), 83.94/12.25 inference(avatar_split_clause,[],[f211699,f52201,f158,f150,f269793,f269790])). 83.94/12.25 tff(f211699,plain,( 83.94/12.25 member(sK0(intersection(sF14,sK5)),sF12) | empty_set = intersection(sF14,sK5) | (~spl19_16 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(duplicate_literal_removal,[],[f211682])). 83.94/12.25 tff(f211682,plain,( 83.94/12.25 member(sK0(intersection(sF14,sK5)),sF12) | empty_set = intersection(sF14,sK5) | empty_set = intersection(sF14,sK5) | (~spl19_16 | ~spl19_18 | ~spl19_145)), 83.94/12.25 inference(resolution,[],[f4862,f52355])). 83.94/12.25 tff(f52355,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(intersection(X0,sK5)),sF13) | empty_set = intersection(X0,sK5)) ) | (~spl19_18 | ~spl19_145)), 83.94/12.25 inference(resolution,[],[f4905,f52220])). 83.94/12.25 tff(f4905,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sK5)),sF18) | empty_set = intersection(X0,sK5)) ) | ~spl19_18), 83.94/12.25 inference(resolution,[],[f234,f243])). 83.94/12.25 tff(f269788,plain,( 83.94/12.25 spl19_334 | ~spl19_431), 83.94/12.25 inference(avatar_split_clause,[],[f77843,f77314,f63310])). 83.94/12.25 tff(f63310,plain,( 83.94/12.25 spl19_334 <=> empty_set = intersection(complement(sF18),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_334])])). 83.94/12.25 tff(f77314,plain,( 83.94/12.25 spl19_431 <=> cardinality(union(complement(sF18),sK5)) = $sum(cardinality(complement(sF18)),cardinality(sK5))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_431])])). 83.94/12.25 tff(f77843,plain,( 83.94/12.25 empty_set = intersection(complement(sF18),sK5) | ~spl19_431), 83.94/12.25 inference(trivial_inequality_removal,[],[f77766])). 83.94/12.25 tff(f77766,plain,( 83.94/12.25 empty_set = intersection(complement(sF18),sK5) | cardinality(union(complement(sF18),sK5)) != cardinality(union(complement(sF18),sK5)) | ~spl19_431), 83.94/12.25 inference(superposition,[],[f74,f77315])). 83.94/12.25 tff(f77315,plain,( 83.94/12.25 cardinality(union(complement(sF18),sK5)) = $sum(cardinality(complement(sF18)),cardinality(sK5)) | ~spl19_431), 83.94/12.25 inference(avatar_component_clause,[],[f77314])). 83.94/12.25 tff(f269772,plain,( 83.94/12.25 spl19_328 | ~spl19_430), 83.94/12.25 inference(avatar_split_clause,[],[f77749,f77310,f61079])). 83.94/12.25 tff(f61079,plain,( 83.94/12.25 spl19_328 <=> empty_set = intersection(sK5,complement(sF18))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_328])])). 83.94/12.25 tff(f77310,plain,( 83.94/12.25 spl19_430 <=> cardinality(union(sK5,complement(sF18))) = $sum(cardinality(sK5),cardinality(complement(sF18)))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_430])])). 83.94/12.25 tff(f77749,plain,( 83.94/12.25 empty_set = intersection(sK5,complement(sF18)) | ~spl19_430), 83.94/12.25 inference(trivial_inequality_removal,[],[f77676])). 83.94/12.25 tff(f77676,plain,( 83.94/12.25 cardinality(union(sK5,complement(sF18))) != cardinality(union(sK5,complement(sF18))) | empty_set = intersection(sK5,complement(sF18)) | ~spl19_430), 83.94/12.25 inference(superposition,[],[f74,f77311])). 83.94/12.25 tff(f77311,plain,( 83.94/12.25 cardinality(union(sK5,complement(sF18))) = $sum(cardinality(sK5),cardinality(complement(sF18))) | ~spl19_430), 83.94/12.25 inference(avatar_component_clause,[],[f77310])). 83.94/12.25 tff(f269632,plain,( 83.94/12.25 spl19_469 | ~spl19_13 | ~spl19_92), 83.94/12.25 inference(avatar_split_clause,[],[f95204,f5066,f138,f89182])). 83.94/12.25 tff(f89182,plain,( 83.94/12.25 spl19_469 <=> empty_set = intersection(sF8,complement(sK2))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_469])])). 83.94/12.25 tff(f95204,plain,( 83.94/12.25 empty_set = intersection(sF8,complement(sK2)) | (~spl19_13 | ~spl19_92)), 83.94/12.25 inference(duplicate_literal_removal,[],[f95149])). 83.94/12.25 tff(f95149,plain,( 83.94/12.25 empty_set = intersection(sF8,complement(sK2)) | empty_set = intersection(sF8,complement(sK2)) | (~spl19_13 | ~spl19_92)), 83.94/12.25 inference(resolution,[],[f4904,f47225])). 83.94/12.25 tff(f269631,plain,( 83.94/12.25 spl19_449 | ~spl19_13 | ~spl19_92), 83.94/12.25 inference(avatar_split_clause,[],[f93990,f5066,f138,f82078])). 83.94/12.25 tff(f82078,plain,( 83.94/12.25 spl19_449 <=> empty_set = intersection(complement(sK2),sF8)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_449])])). 83.94/12.25 tff(f93990,plain,( 83.94/12.25 empty_set = intersection(complement(sK2),sF8) | (~spl19_13 | ~spl19_92)), 83.94/12.25 inference(duplicate_literal_removal,[],[f93927])). 83.94/12.25 tff(f93927,plain,( 83.94/12.25 empty_set = intersection(complement(sK2),sF8) | empty_set = intersection(complement(sK2),sF8) | (~spl19_13 | ~spl19_92)), 83.94/12.25 inference(resolution,[],[f4848,f52441])). 83.94/12.25 tff(f269563,plain,( 83.94/12.25 spl19_269 | ~spl19_10 | ~spl19_13 | ~spl19_20 | ~spl19_95 | ~spl19_98 | spl19_147), 83.94/12.25 inference(avatar_split_clause,[],[f269547,f52209,f6758,f5373,f181,f138,f126,f55513])). 83.94/12.25 tff(f55513,plain,( 83.94/12.25 spl19_269 <=> 2 = cardinality(union(sF8,sF13))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_269])])). 83.94/12.25 tff(f269547,plain,( 83.94/12.25 2 = cardinality(union(sF8,sF13)) | (~spl19_10 | ~spl19_13 | ~spl19_20 | ~spl19_95 | ~spl19_98 | spl19_147)), 83.94/12.25 inference(subsumption_resolution,[],[f269537,f84082])). 83.94/12.25 tff(f269537,plain,( 83.94/12.25 member(sK7,sF18) | 2 = cardinality(union(sF8,sF13)) | (~spl19_10 | ~spl19_13 | ~spl19_20 | ~spl19_95 | ~spl19_98)), 83.94/12.25 inference(superposition,[],[f96081,f127])). 83.94/12.25 tff(f96081,plain,( 83.94/12.25 ( ! [X0 : element] : (2 = cardinality(union(sF8,singleton(X0))) | member(X0,sF18)) ) | (~spl19_13 | ~spl19_20 | ~spl19_95 | ~spl19_98)), 83.94/12.25 inference(evaluation,[],[f96080])). 83.94/12.25 tff(f96080,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,1) = cardinality(union(sF8,singleton(X0))) | member(X0,sF18)) ) | (~spl19_13 | ~spl19_20 | ~spl19_95 | ~spl19_98)), 83.94/12.25 inference(forward_demodulation,[],[f96079,f6759])). 83.94/12.25 tff(f96079,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF8)) = cardinality(union(sF8,singleton(X0))) | member(X0,sF18)) ) | (~spl19_13 | ~spl19_20 | ~spl19_95)), 83.94/12.25 inference(forward_demodulation,[],[f96078,f15])). 83.94/12.25 tff(f96078,plain,( 83.94/12.25 ( ! [X0 : element] : (cardinality(union(sF8,singleton(X0))) = $sum(cardinality(sF8),1) | member(X0,sF18)) ) | (~spl19_13 | ~spl19_20 | ~spl19_95)), 83.94/12.25 inference(forward_demodulation,[],[f96066,f6730])). 83.94/12.25 tff(f96066,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | cardinality(union(sF8,singleton(X0))) = $sum(cardinality(sF8),cardinality(singleton(X0)))) ) | (~spl19_13 | ~spl19_95)), 83.94/12.25 inference(trivial_inequality_removal,[],[f96028])). 83.94/12.25 tff(f96028,plain,( 83.94/12.25 ( ! [X0 : element] : (cardinality(union(sF8,singleton(X0))) = $sum(cardinality(sF8),cardinality(singleton(X0))) | member(X0,sF18) | empty_set != empty_set) ) | (~spl19_13 | ~spl19_95)), 83.94/12.25 inference(superposition,[],[f73,f94198])). 83.94/12.25 tff(f269524,plain,( 83.94/12.25 spl19_270 | spl19_1 | ~spl19_9 | ~spl19_10 | ~spl19_20 | ~spl19_355), 83.94/12.25 inference(avatar_split_clause,[],[f269506,f66825,f181,f126,f122,f90,f55517])). 83.94/12.25 tff(f55517,plain,( 83.94/12.25 spl19_270 <=> 2 = cardinality(union(sF11,sF13))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_270])])). 83.94/12.25 tff(f269506,plain,( 83.94/12.25 2 = cardinality(union(sF11,sF13)) | (spl19_1 | ~spl19_9 | ~spl19_10 | ~spl19_20 | ~spl19_355)), 83.94/12.25 inference(subsumption_resolution,[],[f269493,f91])). 83.94/12.25 tff(f269493,plain,( 83.94/12.25 2 = cardinality(union(sF11,sF13)) | member(sK7,sK2) | (~spl19_9 | ~spl19_10 | ~spl19_20 | ~spl19_355)), 83.94/12.25 inference(superposition,[],[f95974,f127])). 83.94/12.25 tff(f95974,plain,( 83.94/12.25 ( ! [X0 : element] : (2 = cardinality(union(sF11,singleton(X0))) | member(X0,sK2)) ) | (~spl19_9 | ~spl19_20 | ~spl19_355)), 83.94/12.25 inference(evaluation,[],[f95973])). 83.94/12.25 tff(f95973,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sK2) | $sum(1,1) = cardinality(union(sF11,singleton(X0)))) ) | (~spl19_9 | ~spl19_20 | ~spl19_355)), 83.94/12.25 inference(forward_demodulation,[],[f95959,f6730])). 83.94/12.25 tff(f95959,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(singleton(X0))) = cardinality(union(sF11,singleton(X0))) | member(X0,sK2)) ) | (~spl19_9 | ~spl19_355)), 83.94/12.25 inference(trivial_inequality_removal,[],[f95906])). 83.94/12.25 tff(f95906,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(singleton(X0))) = cardinality(union(sF11,singleton(X0))) | empty_set != empty_set | member(X0,sK2)) ) | (~spl19_9 | ~spl19_355)), 83.94/12.25 inference(superposition,[],[f438,f94181])). 83.94/12.25 tff(f269523,plain,( 83.94/12.25 spl19_472 | ~spl19_355), 83.94/12.25 inference(avatar_split_clause,[],[f95209,f66825,f89430])). 83.94/12.25 tff(f89430,plain,( 83.94/12.25 spl19_472 <=> empty_set = intersection(sF11,complement(sK2))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_472])])). 83.94/12.25 tff(f95209,plain,( 83.94/12.25 empty_set = intersection(sF11,complement(sK2)) | ~spl19_355), 83.94/12.25 inference(duplicate_literal_removal,[],[f95151])). 83.94/12.25 tff(f95151,plain,( 83.94/12.25 empty_set = intersection(sF11,complement(sK2)) | empty_set = intersection(sF11,complement(sK2)) | ~spl19_355), 83.94/12.25 inference(resolution,[],[f4904,f67097])). 83.94/12.25 tff(f269407,plain,( 83.94/12.25 spl19_890 | spl19_891 | spl19_892 | ~spl19_10 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f269324,f264,f142,f126,f269405,f269402,f269399])). 83.94/12.25 tff(f269399,plain,( 83.94/12.25 spl19_890 <=> empty_set = union(sF10,sF13)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_890])])). 83.94/12.25 tff(f269402,plain,( 83.94/12.25 spl19_891 <=> member(sK0(union(sF10,sF13)),sF8)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_891])])). 83.94/12.25 tff(f269405,plain,( 83.94/12.25 spl19_892 <=> sK7 = sK0(union(sF10,sF13))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_892])])). 83.94/12.25 tff(f269324,plain,( 83.94/12.25 empty_set = union(sF10,sF13) | member(sK0(union(sF10,sF13)),sF8) | sK7 = sK0(union(sF10,sF13)) | (~spl19_10 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f54817,f11082])). 83.94/12.25 tff(f11082,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(union(X0,sF13)),X0) | empty_set = union(X0,sF13) | sK7 = sK0(union(X0,sF13))) ) | ~spl19_10), 83.94/12.25 inference(resolution,[],[f347,f206])). 83.94/12.25 tff(f269373,plain,( 83.94/12.25 spl19_888 | spl19_889 | ~spl19_8 | ~spl19_14 | ~spl19_26), 83.94/12.25 inference(avatar_split_clause,[],[f269337,f264,f142,f118,f269371,f269368])). 83.94/12.25 tff(f269368,plain,( 83.94/12.25 spl19_888 <=> empty_set = union(sF10,sF8)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_888])])). 83.94/12.25 tff(f269371,plain,( 83.94/12.25 spl19_889 <=> sK1 = sK0(union(sF10,sF8))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_889])])). 83.94/12.25 tff(f269337,plain,( 83.94/12.25 empty_set = union(sF10,sF8) | sK1 = sK0(union(sF10,sF8)) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(subsumption_resolution,[],[f269322,f204])). 83.94/12.25 tff(f269322,plain,( 83.94/12.25 member(sK0(union(sF10,sF8)),sF8) | sK1 = sK0(union(sF10,sF8)) | empty_set = union(sF10,sF8) | (~spl19_8 | ~spl19_14 | ~spl19_26)), 83.94/12.25 inference(resolution,[],[f54817,f11070])). 83.94/12.25 tff(f269229,plain,( 83.94/12.25 spl19_208 | ~spl19_7 | ~spl19_248), 83.94/12.25 inference(avatar_split_clause,[],[f55293,f54927,f114,f54075])). 83.94/12.25 tff(f54075,plain,( 83.94/12.25 spl19_208 <=> member(sK0(union(sF18,empty_set)),sK2)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_208])])). 83.94/12.25 tff(f54927,plain,( 83.94/12.25 spl19_248 <=> member(sK0(union(sF18,empty_set)),sF18)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_248])])). 83.94/12.25 tff(f55293,plain,( 83.94/12.25 member(sK0(union(sF18,empty_set)),sK2) | (~spl19_7 | ~spl19_248)), 83.94/12.25 inference(resolution,[],[f54928,f272])). 83.94/12.25 tff(f54928,plain,( 83.94/12.25 member(sK0(union(sF18,empty_set)),sF18) | ~spl19_248), 83.94/12.25 inference(avatar_component_clause,[],[f54927])). 83.94/12.25 tff(f269205,plain,( 83.94/12.25 spl19_887 | ~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_20 | spl19_147), 83.94/12.25 inference(avatar_split_clause,[],[f269053,f52209,f181,f158,f126,f106,f269203])). 83.94/12.25 tff(f269053,plain,( 83.94/12.25 $sum(1,cardinality(sF9)) = cardinality(union(sF9,sF13)) | (~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_20 | spl19_147)), 83.94/12.25 inference(subsumption_resolution,[],[f269043,f84082])). 83.94/12.25 tff(f269043,plain,( 83.94/12.25 $sum(1,cardinality(sF9)) = cardinality(union(sF9,sF13)) | member(sK7,sF18) | (~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(superposition,[],[f94439,f127])). 83.94/12.25 tff(f269201,plain,( 83.94/12.25 spl19_886 | ~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_20 | spl19_147), 83.94/12.25 inference(avatar_split_clause,[],[f269037,f52209,f181,f158,f126,f106,f269199])). 83.94/12.25 tff(f269037,plain,( 83.94/12.25 $sum(1,cardinality(sF9)) = cardinality(union(sF13,sF9)) | (~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_20 | spl19_147)), 83.94/12.25 inference(subsumption_resolution,[],[f269026,f84082])). 83.94/12.25 tff(f269026,plain,( 83.94/12.25 $sum(1,cardinality(sF9)) = cardinality(union(sF13,sF9)) | member(sK7,sF18) | (~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(superposition,[],[f93100,f127])). 83.94/12.25 tff(f269171,plain,( 83.94/12.25 spl19_468 | ~spl19_7 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f95211,f158,f114,f89178])). 83.94/12.25 tff(f89178,plain,( 83.94/12.25 spl19_468 <=> empty_set = intersection(sK5,complement(sK2))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_468])])). 83.94/12.25 tff(f95211,plain,( 83.94/12.25 empty_set = intersection(sK5,complement(sK2)) | (~spl19_7 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f95148])). 83.94/12.25 tff(f95148,plain,( 83.94/12.25 empty_set = intersection(sK5,complement(sK2)) | empty_set = intersection(sK5,complement(sK2)) | (~spl19_7 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f4904,f47223])). 83.94/12.25 tff(f47223,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(sK5,X0)),sK2) | empty_set = intersection(sK5,X0)) ) | (~spl19_7 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f4849,f272])). 83.94/12.25 tff(f269170,plain,( 83.94/12.25 spl19_481 | ~spl19_5 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f93995,f158,f106,f91242])). 83.94/12.25 tff(f91242,plain,( 83.94/12.25 spl19_481 <=> empty_set = intersection(complement(sF18),sF9)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_481])])). 83.94/12.25 tff(f93995,plain,( 83.94/12.25 empty_set = intersection(complement(sF18),sF9) | (~spl19_5 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f93936])). 83.94/12.25 tff(f93936,plain,( 83.94/12.25 empty_set = intersection(complement(sF18),sF9) | empty_set = intersection(complement(sF18),sF9) | (~spl19_5 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f4848,f4951])). 83.94/12.25 tff(f269169,plain,( 83.94/12.25 spl19_451 | ~spl19_7 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f93982,f158,f114,f82978])). 83.94/12.25 tff(f82978,plain,( 83.94/12.25 spl19_451 <=> empty_set = intersection(complement(sK2),sF11)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_451])])). 83.94/12.25 tff(f93982,plain,( 83.94/12.25 empty_set = intersection(complement(sK2),sF11) | (~spl19_7 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f93929])). 83.94/12.25 tff(f93929,plain,( 83.94/12.25 empty_set = intersection(complement(sK2),sF11) | empty_set = intersection(complement(sK2),sF11) | (~spl19_7 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f4848,f52946])). 83.94/12.25 tff(f269152,plain,( 83.94/12.25 spl19_269 | ~spl19_8 | ~spl19_41 | ~spl19_100 | ~spl19_146), 83.94/12.25 inference(avatar_split_clause,[],[f268970,f52205,f6794,f488,f118,f55513])). 83.94/12.25 tff(f268970,plain,( 83.94/12.25 2 = cardinality(union(sF8,sF13)) | (~spl19_8 | ~spl19_41 | ~spl19_100 | ~spl19_146)), 83.94/12.25 inference(subsumption_resolution,[],[f104665,f489])). 83.94/12.25 tff(f104665,plain,( 83.94/12.25 2 = cardinality(union(sF8,sF13)) | ~member(sK1,sF9) | (~spl19_8 | ~spl19_100 | ~spl19_146)), 83.94/12.25 inference(superposition,[],[f93842,f119])). 83.94/12.25 tff(f93842,plain,( 83.94/12.25 ( ! [X0 : element] : (2 = cardinality(union(singleton(X0),sF13)) | ~member(X0,sF9)) ) | (~spl19_100 | ~spl19_146)), 83.94/12.25 inference(evaluation,[],[f93841])). 83.94/12.25 tff(f93841,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,1) = cardinality(union(singleton(X0),sF13)) | ~member(X0,sF9)) ) | (~spl19_100 | ~spl19_146)), 83.94/12.25 inference(forward_demodulation,[],[f93804,f6795])). 83.94/12.25 tff(f93804,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF13)) = cardinality(union(singleton(X0),sF13)) | ~member(X0,sF9)) ) | ~spl19_146), 83.94/12.25 inference(trivial_inequality_removal,[],[f93762])). 83.94/12.25 tff(f93762,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != empty_set | ~member(X0,sF9) | $sum(1,cardinality(sF13)) = cardinality(union(singleton(X0),sF13))) ) | ~spl19_146), 83.94/12.25 inference(superposition,[],[f404,f92320])). 83.94/12.25 tff(f92320,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF13) | ~member(X0,sF9)) ) | ~spl19_146), 83.94/12.25 inference(duplicate_literal_removal,[],[f92299])). 83.94/12.25 tff(f92299,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | empty_set = intersection(singleton(X0),sF13) | empty_set = intersection(singleton(X0),sF13)) ) | ~spl19_146), 83.94/12.25 inference(superposition,[],[f52583,f4842])). 83.94/12.25 tff(f52583,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(intersection(X0,sF13)),sF9) | empty_set = intersection(X0,sF13)) ) | ~spl19_146), 83.94/12.25 inference(resolution,[],[f52235,f234])). 83.94/12.25 tff(f269151,plain,( 83.94/12.25 spl19_269 | ~spl19_8 | ~spl19_42 | ~spl19_100 | ~spl19_164), 83.94/12.25 inference(avatar_split_clause,[],[f268928,f52974,f6794,f493,f118,f55513])). 83.94/12.25 tff(f268928,plain,( 83.94/12.25 2 = cardinality(union(sF8,sF13)) | (~spl19_8 | ~spl19_42 | ~spl19_100 | ~spl19_164)), 83.94/12.25 inference(subsumption_resolution,[],[f103243,f494])). 83.94/12.25 tff(f103243,plain,( 83.94/12.25 ~member(sK1,sK5) | 2 = cardinality(union(sF8,sF13)) | (~spl19_8 | ~spl19_100 | ~spl19_164)), 83.94/12.25 inference(superposition,[],[f93577,f119])). 83.94/12.25 tff(f93577,plain,( 83.94/12.25 ( ! [X0 : element] : (2 = cardinality(union(singleton(X0),sF13)) | ~member(X0,sK5)) ) | (~spl19_100 | ~spl19_164)), 83.94/12.25 inference(evaluation,[],[f93576])). 83.94/12.25 tff(f93576,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sK5) | $sum(1,1) = cardinality(union(singleton(X0),sF13))) ) | (~spl19_100 | ~spl19_164)), 83.94/12.25 inference(forward_demodulation,[],[f93543,f6795])). 83.94/12.25 tff(f93543,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sK5) | $sum(1,cardinality(sF13)) = cardinality(union(singleton(X0),sF13))) ) | ~spl19_164), 83.94/12.25 inference(trivial_inequality_removal,[],[f93501])). 83.94/12.25 tff(f93501,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != empty_set | $sum(1,cardinality(sF13)) = cardinality(union(singleton(X0),sF13)) | ~member(X0,sK5)) ) | ~spl19_164), 83.94/12.25 inference(superposition,[],[f404,f92323])). 83.94/12.25 tff(f92323,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF13) | ~member(X0,sK5)) ) | ~spl19_164), 83.94/12.25 inference(duplicate_literal_removal,[],[f92300])). 83.94/12.25 tff(f92300,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF13) | empty_set = intersection(singleton(X0),sF13) | ~member(X0,sK5)) ) | ~spl19_164), 83.94/12.25 inference(superposition,[],[f53003,f4842])). 83.94/12.25 tff(f53003,plain,( 83.94/12.25 ( ! [X0 : set] : (~member(sK0(intersection(X0,sF13)),sK5) | empty_set = intersection(X0,sF13)) ) | ~spl19_164), 83.94/12.25 inference(resolution,[],[f52998,f234])). 83.94/12.25 tff(f269150,plain,( 83.94/12.25 spl19_257 | ~spl19_8 | ~spl19_41 | ~spl19_97 | ~spl19_141), 83.94/12.25 inference(avatar_split_clause,[],[f268892,f51939,f6753,f488,f118,f55124])). 83.94/12.25 tff(f55124,plain,( 83.94/12.25 spl19_257 <=> 2 = cardinality(union(sF8,sF11))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_257])])). 83.94/12.25 tff(f268892,plain,( 83.94/12.25 2 = cardinality(union(sF8,sF11)) | (~spl19_8 | ~spl19_41 | ~spl19_97 | ~spl19_141)), 83.94/12.25 inference(subsumption_resolution,[],[f102474,f489])). 83.94/12.25 tff(f102474,plain,( 83.94/12.25 2 = cardinality(union(sF8,sF11)) | ~member(sK1,sF9) | (~spl19_8 | ~spl19_97 | ~spl19_141)), 83.94/12.25 inference(superposition,[],[f93214,f119])). 83.94/12.25 tff(f93214,plain,( 83.94/12.25 ( ! [X0 : element] : (2 = cardinality(union(singleton(X0),sF11)) | ~member(X0,sF9)) ) | (~spl19_97 | ~spl19_141)), 83.94/12.25 inference(evaluation,[],[f93213])). 83.94/12.25 tff(f93213,plain,( 83.94/12.25 ( ! [X0 : element] : (~member(X0,sF9) | $sum(1,1) = cardinality(union(singleton(X0),sF11))) ) | (~spl19_97 | ~spl19_141)), 83.94/12.25 inference(forward_demodulation,[],[f93167,f6754])). 83.94/12.25 tff(f93167,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF11)) = cardinality(union(singleton(X0),sF11)) | ~member(X0,sF9)) ) | ~spl19_141), 83.94/12.25 inference(trivial_inequality_removal,[],[f93125])). 83.94/12.25 tff(f93125,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,cardinality(sF11)) = cardinality(union(singleton(X0),sF11)) | ~member(X0,sF9) | empty_set != empty_set) ) | ~spl19_141), 83.94/12.25 inference(superposition,[],[f404,f92319])). 83.94/12.25 tff(f92319,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF11) | ~member(X0,sF9)) ) | ~spl19_141), 83.94/12.25 inference(duplicate_literal_removal,[],[f92295])). 83.94/12.25 tff(f92295,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF11) | empty_set = intersection(singleton(X0),sF11) | ~member(X0,sF9)) ) | ~spl19_141), 83.94/12.25 inference(superposition,[],[f51967,f4842])). 83.94/12.25 tff(f269149,plain,( 83.94/12.25 spl19_219 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_98 | spl19_147), 83.94/12.25 inference(avatar_split_clause,[],[f268925,f52209,f6758,f181,f158,f138,f126,f106,f54475])). 83.94/12.25 tff(f54475,plain,( 83.94/12.25 spl19_219 <=> 2 = cardinality(union(sF13,sF8))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_219])])). 83.94/12.25 tff(f268925,plain,( 83.94/12.25 2 = cardinality(union(sF13,sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_98 | spl19_147)), 83.94/12.25 inference(subsumption_resolution,[],[f127722,f84082])). 83.94/12.25 tff(f127722,plain,( 83.94/12.25 member(sK7,sF18) | 2 = cardinality(union(sF13,sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_98)), 83.94/12.25 inference(superposition,[],[f92893,f127])). 83.94/12.25 tff(f92893,plain,( 83.94/12.25 ( ! [X0 : element] : (2 = cardinality(union(singleton(X0),sF8)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_98)), 83.94/12.25 inference(evaluation,[],[f92892])). 83.94/12.25 tff(f92892,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | $sum(1,1) = cardinality(union(singleton(X0),sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_20 | ~spl19_98)), 83.94/12.25 inference(forward_demodulation,[],[f92891,f6759])). 83.94/12.25 tff(f92891,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | $sum(1,cardinality(sF8)) = cardinality(union(singleton(X0),sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(forward_demodulation,[],[f92890,f15])). 83.94/12.25 tff(f92890,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | cardinality(union(singleton(X0),sF8)) = $sum(cardinality(sF8),1)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_20)), 83.94/12.25 inference(forward_demodulation,[],[f92889,f6730])). 83.94/12.25 tff(f92889,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | cardinality(union(singleton(X0),sF8)) = $sum(cardinality(sF8),cardinality(singleton(X0)))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(forward_demodulation,[],[f92872,f15])). 83.94/12.25 tff(f92872,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sF18) | cardinality(union(singleton(X0),sF8)) = $sum(cardinality(singleton(X0)),cardinality(sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(trivial_inequality_removal,[],[f92834])). 83.94/12.25 tff(f92834,plain,( 83.94/12.25 ( ! [X0 : element] : (empty_set != empty_set | cardinality(union(singleton(X0),sF8)) = $sum(cardinality(singleton(X0)),cardinality(sF8)) | member(X0,sF18)) ) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.94/12.25 inference(superposition,[],[f73,f92313])). 83.94/12.25 tff(f269148,plain,( 83.94/12.25 spl19_448 | ~spl19_7 | ~spl19_18), 83.94/12.25 inference(avatar_split_clause,[],[f93981,f158,f114,f82074])). 83.94/12.25 tff(f82074,plain,( 83.94/12.25 spl19_448 <=> empty_set = intersection(complement(sK2),sK5)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_448])])). 83.94/12.25 tff(f93981,plain,( 83.94/12.25 empty_set = intersection(complement(sK2),sK5) | (~spl19_7 | ~spl19_18)), 83.94/12.25 inference(duplicate_literal_removal,[],[f93926])). 83.94/12.25 tff(f93926,plain,( 83.94/12.25 empty_set = intersection(complement(sK2),sK5) | empty_set = intersection(complement(sK2),sK5) | (~spl19_7 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f4848,f52357])). 83.94/12.25 tff(f52357,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sK5)),sK2) | empty_set = intersection(X0,sK5)) ) | (~spl19_7 | ~spl19_18)), 83.94/12.25 inference(resolution,[],[f4905,f272])). 83.94/12.25 tff(f269140,plain,( 83.94/12.25 spl19_327 | ~spl19_7), 83.94/12.25 inference(avatar_split_clause,[],[f95220,f114,f59890])). 83.94/12.25 tff(f59890,plain,( 83.94/12.25 spl19_327 <=> empty_set = intersection(sF18,complement(sK2))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_327])])). 83.94/12.25 tff(f95220,plain,( 83.94/12.25 empty_set = intersection(sF18,complement(sK2)) | ~spl19_7), 83.94/12.25 inference(duplicate_literal_removal,[],[f95152])). 83.94/12.25 tff(f95152,plain,( 83.94/12.25 empty_set = intersection(sF18,complement(sK2)) | empty_set = intersection(sF18,complement(sK2)) | ~spl19_7), 83.94/12.25 inference(resolution,[],[f4904,f4864])). 83.94/12.25 tff(f4864,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(sF18,X0)),sK2) | empty_set = intersection(sF18,X0)) ) | ~spl19_7), 83.94/12.25 inference(resolution,[],[f233,f272])). 83.94/12.25 tff(f269139,plain,( 83.94/12.25 spl19_882 | ~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_20 | spl19_147 | ~spl19_158), 83.94/12.25 inference(avatar_split_clause,[],[f269054,f52523,f52209,f181,f158,f126,f106,f268992])). 83.94/12.25 tff(f268992,plain,( 83.94/12.25 spl19_882 <=> 2 = $sum(1,cardinality(sF9))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_882])])). 83.94/12.25 tff(f52523,plain,( 83.94/12.25 spl19_158 <=> 2 = cardinality(union(sF9,sF13))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_158])])). 83.94/12.25 tff(f269054,plain,( 83.94/12.25 2 = $sum(1,cardinality(sF9)) | (~spl19_5 | ~spl19_10 | ~spl19_18 | ~spl19_20 | spl19_147 | ~spl19_158)), 83.94/12.25 inference(forward_demodulation,[],[f269053,f52524])). 83.94/12.25 tff(f52524,plain,( 83.94/12.25 2 = cardinality(union(sF9,sF13)) | ~spl19_158), 83.94/12.25 inference(avatar_component_clause,[],[f52523])). 83.94/12.25 tff(f269136,plain,( 83.94/12.25 spl19_330 | ~spl19_5), 83.94/12.25 inference(avatar_split_clause,[],[f95215,f106,f62013])). 83.94/12.25 tff(f62013,plain,( 83.94/12.25 spl19_330 <=> empty_set = intersection(sF9,complement(sK5))), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_330])])). 83.94/12.25 tff(f95215,plain,( 83.94/12.25 empty_set = intersection(sF9,complement(sK5)) | ~spl19_5), 83.94/12.25 inference(duplicate_literal_removal,[],[f95153])). 83.94/12.25 tff(f95153,plain,( 83.94/12.25 empty_set = intersection(sF9,complement(sK5)) | empty_set = intersection(sF9,complement(sK5)) | ~spl19_5), 83.94/12.25 inference(resolution,[],[f4904,f4854])). 83.94/12.25 tff(f269121,plain,( 83.94/12.25 spl19_885 | ~spl19_20 | ~spl19_40 | ~spl19_98), 83.94/12.25 inference(avatar_split_clause,[],[f269115,f6758,f469,f181,f269119])). 83.94/12.25 tff(f269119,plain,( 83.94/12.25 spl19_885 <=> 1 = cardinality(sF10)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_885])])). 83.94/12.25 tff(f269115,plain,( 83.94/12.25 1 = cardinality(sF10) | (~spl19_20 | ~spl19_40 | ~spl19_98)), 83.94/12.25 inference(forward_demodulation,[],[f269105,f6759])). 83.94/12.25 tff(f269105,plain,( 83.94/12.25 cardinality(sF8) = cardinality(sF10) | (~spl19_20 | ~spl19_40)), 83.94/12.25 inference(superposition,[],[f6042,f470])). 83.94/12.25 tff(f269103,plain,( 83.94/12.25 spl19_337 | ~spl19_5), 83.94/12.25 inference(avatar_split_clause,[],[f93996,f106,f64133])). 83.94/12.25 tff(f64133,plain,( 83.94/12.25 spl19_337 <=> empty_set = intersection(complement(sK5),sF9)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_337])])). 83.94/12.25 tff(f93996,plain,( 83.94/12.25 empty_set = intersection(complement(sK5),sF9) | ~spl19_5), 83.94/12.25 inference(duplicate_literal_removal,[],[f93931])). 83.94/12.25 tff(f93931,plain,( 83.94/12.25 empty_set = intersection(complement(sK5),sF9) | empty_set = intersection(complement(sK5),sF9) | ~spl19_5), 83.94/12.25 inference(resolution,[],[f4848,f4910])). 83.94/12.25 tff(f269102,plain,( 83.94/12.25 spl19_43 | spl19_276 | spl19_75 | ~spl19_9 | ~spl19_15 | ~spl19_81), 83.94/12.25 inference(avatar_split_clause,[],[f269096,f1862,f146,f122,f1535,f55678,f499])). 83.94/12.25 tff(f269096,plain,( 83.94/12.25 member(sK1,sF10) | empty_set = sF12 | sK1 = sK6 | (~spl19_9 | ~spl19_15 | ~spl19_81)), 83.94/12.25 inference(forward_demodulation,[],[f269095,f1863])). 83.94/12.25 tff(f269095,plain,( 83.94/12.25 empty_set = sF12 | sK6 = sK0(sF12) | member(sK1,sF10) | (~spl19_9 | ~spl19_15 | ~spl19_81)), 83.94/12.25 inference(forward_demodulation,[],[f269086,f1863])). 83.94/12.25 tff(f269086,plain,( 83.94/12.25 empty_set = sF12 | member(sK0(sF12),sF10) | sK6 = sK0(sF12) | (~spl19_9 | ~spl19_15)), 83.94/12.25 inference(superposition,[],[f11078,f147])). 83.94/12.25 tff(f11078,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(union(X0,sF11)),X0) | empty_set = union(X0,sF11) | sK6 = sK0(union(X0,sF11))) ) | ~spl19_9), 83.94/12.25 inference(resolution,[],[f347,f205])). 83.94/12.25 tff(f269101,plain,( 83.94/12.25 spl19_336 | ~spl19_7), 83.94/12.25 inference(avatar_split_clause,[],[f93986,f114,f63796])). 83.94/12.25 tff(f63796,plain,( 83.94/12.25 spl19_336 <=> empty_set = intersection(complement(sK2),sF18)), 83.94/12.25 introduced(avatar_definition,[new_symbols(naming,[spl19_336])])). 83.94/12.25 tff(f93986,plain,( 83.94/12.25 empty_set = intersection(complement(sK2),sF18) | ~spl19_7), 83.94/12.25 inference(duplicate_literal_removal,[],[f93930])). 83.94/12.25 tff(f93930,plain,( 83.94/12.25 empty_set = intersection(complement(sK2),sF18) | empty_set = intersection(complement(sK2),sF18) | ~spl19_7), 83.94/12.25 inference(resolution,[],[f4848,f4920])). 83.94/12.25 tff(f4920,plain,( 83.94/12.25 ( ! [X0 : set] : (member(sK0(intersection(X0,sF18)),sK2) | empty_set = intersection(X0,sF18)) ) | ~spl19_7), 83.94/12.25 inference(resolution,[],[f234,f272])). 83.94/12.25 tff(f269100,plain,( 83.94/12.25 spl19_43 | spl19_75 | ~spl19_15 | ~spl19_81 | spl19_228), 83.94/12.25 inference(avatar_split_clause,[],[f269099,f54552,f1862,f146,f1535,f499])). 83.94/12.25 tff(f269099,plain,( 83.94/12.25 member(sK1,sF10) | empty_set = sF12 | (~spl19_15 | ~spl19_81 | spl19_228)), 83.94/12.25 inference(subsumption_resolution,[],[f269098,f54915])). 83.94/12.25 tff(f269098,plain,( 83.94/12.25 empty_set = sF12 | member(sK1,sF10) | member(sK1,sF11) | (~spl19_15 | ~spl19_81)), 83.94/12.25 inference(forward_demodulation,[],[f269097,f1863])). 83.94/12.25 tff(f269097,plain,( 83.94/12.25 member(sK1,sF10) | member(sK0(sF12),sF11) | empty_set = sF12 | (~spl19_15 | ~spl19_81)), 83.94/12.25 inference(forward_demodulation,[],[f269090,f1863])). 83.94/12.25 tff(f269090,plain,( 83.94/12.25 member(sK0(sF12),sF10) | empty_set = sF12 | member(sK0(sF12),sF11) | ~spl19_15), 83.94/12.25 inference(superposition,[],[f347,f147])). 83.94/12.25 tff(f269060,plain,( 83.94/12.25 spl19_219 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_20 | ~spl19_98 | spl19_166), 83.94/12.25 inference(avatar_split_clause,[],[f268974,f53008,f6758,f181,f138,f126,f106,f54475])). 83.94/12.25 tff(f268974,plain,( 83.94/12.25 2 = cardinality(union(sF13,sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_20 | ~spl19_98 | spl19_166)), 83.94/12.25 inference(subsumption_resolution,[],[f94721,f53009])). 83.94/12.25 tff(f94721,plain,( 83.94/12.25 member(sK7,sK5) | 2 = cardinality(union(sF13,sF8)) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_20 | ~spl19_98)), 83.94/12.25 inference(superposition,[],[f92585,f127])). 83.94/12.25 tff(f92585,plain,( 83.94/12.25 ( ! [X0 : element] : (2 = cardinality(union(singleton(X0),sF8)) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_13 | ~spl19_20 | ~spl19_98)), 83.94/12.25 inference(evaluation,[],[f92584])). 83.94/12.25 tff(f92584,plain,( 83.94/12.25 ( ! [X0 : element] : ($sum(1,1) = cardinality(union(singleton(X0),sF8)) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_13 | ~spl19_20 | ~spl19_98)), 83.94/12.25 inference(forward_demodulation,[],[f92583,f6759])). 83.94/12.25 tff(f92583,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sK5) | $sum(1,cardinality(sF8)) = cardinality(union(singleton(X0),sF8))) ) | (~spl19_5 | ~spl19_13 | ~spl19_20)), 83.94/12.25 inference(forward_demodulation,[],[f92582,f15])). 83.94/12.25 tff(f92582,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sK5) | cardinality(union(singleton(X0),sF8)) = $sum(cardinality(sF8),1)) ) | (~spl19_5 | ~spl19_13 | ~spl19_20)), 83.94/12.25 inference(forward_demodulation,[],[f92581,f6730])). 83.94/12.25 tff(f92581,plain,( 83.94/12.25 ( ! [X0 : element] : (member(X0,sK5) | cardinality(union(singleton(X0),sF8)) = $sum(cardinality(sF8),cardinality(singleton(X0)))) ) | (~spl19_5 | ~spl19_13)), 83.94/12.25 inference(forward_demodulation,[],[f92576,f15])). 83.94/12.25 tff(f92576,plain,( 83.94/12.25 ( ! [X0 : element] : (cardinality(union(singleton(X0),sF8)) = $sum(cardinality(singleton(X0)),cardinality(sF8)) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_13)), 83.94/12.26 inference(trivial_inequality_removal,[],[f92538])). 83.94/12.26 tff(f92538,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,sK5) | empty_set != empty_set | cardinality(union(singleton(X0),sF8)) = $sum(cardinality(singleton(X0)),cardinality(sF8))) ) | (~spl19_5 | ~spl19_13)), 83.94/12.26 inference(superposition,[],[f73,f92321])). 83.94/12.26 tff(f269059,plain,( 83.94/12.26 spl19_882 | ~spl19_100 | ~spl19_146 | ~spl19_148), 83.94/12.26 inference(avatar_split_clause,[],[f268913,f52352,f52205,f6794,f268992])). 83.94/12.26 tff(f52352,plain,( 83.94/12.26 spl19_148 <=> 2 = cardinality(union(sF13,sF9))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_148])])). 83.94/12.26 tff(f268913,plain,( 83.94/12.26 2 = $sum(1,cardinality(sF9)) | (~spl19_100 | ~spl19_146 | ~spl19_148)), 83.94/12.26 inference(forward_demodulation,[],[f268912,f52353])). 83.94/12.26 tff(f52353,plain,( 83.94/12.26 2 = cardinality(union(sF13,sF9)) | ~spl19_148), 83.94/12.26 inference(avatar_component_clause,[],[f52352])). 83.94/12.26 tff(f268912,plain,( 83.94/12.26 $sum(1,cardinality(sF9)) = cardinality(union(sF13,sF9)) | (~spl19_100 | ~spl19_146)), 83.94/12.26 inference(forward_demodulation,[],[f52229,f6795])). 83.94/12.26 tff(f52229,plain,( 83.94/12.26 cardinality(union(sF13,sF9)) = $sum(cardinality(sF13),cardinality(sF9)) | ~spl19_146), 83.94/12.26 inference(trivial_inequality_removal,[],[f52224])). 83.94/12.26 tff(f52224,plain,( 83.94/12.26 empty_set != empty_set | cardinality(union(sF13,sF9)) = $sum(cardinality(sF13),cardinality(sF9)) | ~spl19_146), 83.94/12.26 inference(superposition,[],[f73,f52206])). 83.94/12.26 tff(f269025,plain,( 83.94/12.26 ~spl19_884 | ~spl19_87 | ~spl19_145), 83.94/12.26 inference(avatar_split_clause,[],[f269005,f52201,f2392,f269023])). 83.94/12.26 tff(f269023,plain,( 83.94/12.26 spl19_884 <=> member(sK0(sK4),sF13)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_884])])). 83.94/12.26 tff(f2392,plain,( 83.94/12.26 spl19_87 <=> member(sK0(sK4),sF18)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_87])])). 83.94/12.26 tff(f269005,plain,( 83.94/12.26 ~member(sK0(sK4),sF13) | (~spl19_87 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f2393,f52220])). 83.94/12.26 tff(f2393,plain,( 83.94/12.26 member(sK0(sK4),sF18) | ~spl19_87), 83.94/12.26 inference(avatar_component_clause,[],[f2392])). 83.94/12.26 tff(f269021,plain,( 83.94/12.26 spl19_255 | spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_97), 83.94/12.26 inference(avatar_split_clause,[],[f268909,f6753,f158,f126,f114,f90,f55077])). 83.94/12.26 tff(f55077,plain,( 83.94/12.26 spl19_255 <=> 2 = cardinality(union(sF13,sF11))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_255])])). 83.94/12.26 tff(f268909,plain,( 83.94/12.26 2 = cardinality(union(sF13,sF11)) | (spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_97)), 83.94/12.26 inference(subsumption_resolution,[],[f95316,f91])). 83.94/12.26 tff(f95316,plain,( 83.94/12.26 member(sK7,sK2) | 2 = cardinality(union(sF13,sF11)) | (~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_97)), 83.94/12.26 inference(superposition,[],[f92683,f127])). 83.94/12.26 tff(f92683,plain,( 83.94/12.26 ( ! [X0 : element] : (2 = cardinality(union(singleton(X0),sF11)) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_18 | ~spl19_97)), 83.94/12.26 inference(evaluation,[],[f92682])). 83.94/12.26 tff(f92682,plain,( 83.94/12.26 ( ! [X0 : element] : ($sum(1,1) = cardinality(union(singleton(X0),sF11)) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_18 | ~spl19_97)), 83.94/12.26 inference(forward_demodulation,[],[f92681,f6754])). 83.94/12.26 tff(f92681,plain,( 83.94/12.26 ( ! [X0 : element] : ($sum(1,cardinality(sF11)) = cardinality(union(singleton(X0),sF11)) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_18)), 83.94/12.26 inference(trivial_inequality_removal,[],[f92638])). 83.94/12.26 tff(f92638,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,sK2) | $sum(1,cardinality(sF11)) = cardinality(union(singleton(X0),sF11)) | empty_set != empty_set) ) | (~spl19_7 | ~spl19_18)), 83.94/12.26 inference(superposition,[],[f404,f92325])). 83.94/12.26 tff(f269020,plain,( 83.94/12.26 ~spl19_883 | ~spl19_50 | ~spl19_145), 83.94/12.26 inference(avatar_split_clause,[],[f268995,f52201,f544,f269018])). 83.94/12.26 tff(f269018,plain,( 83.94/12.26 spl19_883 <=> member(sK0(sF9),sF13)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_883])])). 83.94/12.26 tff(f544,plain,( 83.94/12.26 spl19_50 <=> member(sK0(sF9),sF18)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_50])])). 83.94/12.26 tff(f268995,plain,( 83.94/12.26 ~member(sK0(sF9),sF13) | (~spl19_50 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f545,f52220])). 83.94/12.26 tff(f545,plain,( 83.94/12.26 member(sK0(sF9),sF18) | ~spl19_50), 83.94/12.26 inference(avatar_component_clause,[],[f544])). 83.94/12.26 tff(f269016,plain,( 83.94/12.26 spl19_269 | ~spl19_5 | ~spl19_8 | ~spl19_10 | ~spl19_13 | ~spl19_20 | spl19_166), 83.94/12.26 inference(avatar_split_clause,[],[f268901,f53008,f181,f138,f126,f118,f106,f55513])). 83.94/12.26 tff(f268901,plain,( 83.94/12.26 2 = cardinality(union(sF8,sF13)) | (~spl19_5 | ~spl19_8 | ~spl19_10 | ~spl19_13 | ~spl19_20 | spl19_166)), 83.94/12.26 inference(subsumption_resolution,[],[f95843,f53009])). 83.94/12.26 tff(f95843,plain,( 83.94/12.26 member(sK7,sK5) | 2 = cardinality(union(sF8,sF13)) | (~spl19_5 | ~spl19_8 | ~spl19_10 | ~spl19_13 | ~spl19_20)), 83.94/12.26 inference(superposition,[],[f94798,f127])). 83.94/12.26 tff(f94798,plain,( 83.94/12.26 ( ! [X0 : element] : (2 = cardinality(union(sF8,singleton(X0))) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_8 | ~spl19_13 | ~spl19_20)), 83.94/12.26 inference(evaluation,[],[f94797])). 83.94/12.26 tff(f94797,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,sK5) | $sum(1,1) = cardinality(union(sF8,singleton(X0)))) ) | (~spl19_5 | ~spl19_8 | ~spl19_13 | ~spl19_20)), 83.94/12.26 inference(forward_demodulation,[],[f94788,f6730])). 83.94/12.26 tff(f94788,plain,( 83.94/12.26 ( ! [X0 : element] : ($sum(1,cardinality(singleton(X0))) = cardinality(union(sF8,singleton(X0))) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_8 | ~spl19_13)), 83.94/12.26 inference(trivial_inequality_removal,[],[f94739])). 83.94/12.26 tff(f94739,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,sK5) | $sum(1,cardinality(singleton(X0))) = cardinality(union(sF8,singleton(X0))) | empty_set != empty_set) ) | (~spl19_5 | ~spl19_8 | ~spl19_13)), 83.94/12.26 inference(superposition,[],[f437,f94190])). 83.94/12.26 tff(f94190,plain,( 83.94/12.26 ( ! [X0 : element] : (empty_set = intersection(sF8,singleton(X0)) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_13)), 83.94/12.26 inference(duplicate_literal_removal,[],[f94162])). 83.94/12.26 tff(f94162,plain,( 83.94/12.26 ( ! [X0 : element] : (empty_set = intersection(sF8,singleton(X0)) | empty_set = intersection(sF8,singleton(X0)) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_13)), 83.94/12.26 inference(superposition,[],[f47224,f4898])). 83.94/12.26 tff(f269008,plain,( 83.94/12.26 spl19_257 | spl19_4 | ~spl19_5 | ~spl19_8 | ~spl19_9 | ~spl19_13 | ~spl19_20), 83.94/12.26 inference(avatar_split_clause,[],[f268895,f181,f138,f122,f118,f106,f102,f55124])). 83.94/12.26 tff(f268895,plain,( 83.94/12.26 2 = cardinality(union(sF8,sF11)) | (spl19_4 | ~spl19_5 | ~spl19_8 | ~spl19_9 | ~spl19_13 | ~spl19_20)), 83.94/12.26 inference(subsumption_resolution,[],[f95845,f103])). 83.94/12.26 tff(f95845,plain,( 83.94/12.26 2 = cardinality(union(sF8,sF11)) | member(sK6,sK5) | (~spl19_5 | ~spl19_8 | ~spl19_9 | ~spl19_13 | ~spl19_20)), 83.94/12.26 inference(superposition,[],[f94798,f123])). 83.94/12.26 tff(f269004,plain,( 83.94/12.26 spl19_229 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_20 | ~spl19_98), 83.94/12.26 inference(avatar_split_clause,[],[f268891,f6758,f181,f138,f122,f106,f102,f54555])). 83.94/12.26 tff(f54555,plain,( 83.94/12.26 spl19_229 <=> 2 = cardinality(union(sF11,sF8))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_229])])). 83.94/12.26 tff(f268891,plain,( 83.94/12.26 2 = cardinality(union(sF11,sF8)) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_20 | ~spl19_98)), 83.94/12.26 inference(subsumption_resolution,[],[f94723,f103])). 83.94/12.26 tff(f94723,plain,( 83.94/12.26 2 = cardinality(union(sF11,sF8)) | member(sK6,sK5) | (~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_20 | ~spl19_98)), 83.94/12.26 inference(superposition,[],[f92585,f123])). 83.94/12.26 tff(f269003,plain,( 83.94/12.26 spl19_471 | ~spl19_5 | ~spl19_7 | ~spl19_18), 83.94/12.26 inference(avatar_split_clause,[],[f95216,f158,f114,f106,f89348])). 83.94/12.26 tff(f89348,plain,( 83.94/12.26 spl19_471 <=> empty_set = intersection(sF9,complement(sK2))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_471])])). 83.94/12.26 tff(f95216,plain,( 83.94/12.26 empty_set = intersection(sF9,complement(sK2)) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.26 inference(duplicate_literal_removal,[],[f95150])). 83.94/12.26 tff(f95150,plain,( 83.94/12.26 empty_set = intersection(sF9,complement(sK2)) | empty_set = intersection(sF9,complement(sK2)) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.26 inference(resolution,[],[f4904,f4953])). 83.94/12.26 tff(f269002,plain,( 83.94/12.26 spl19_450 | ~spl19_5 | ~spl19_7 | ~spl19_18), 83.94/12.26 inference(avatar_split_clause,[],[f93988,f158,f114,f106,f82082])). 83.94/12.26 tff(f82082,plain,( 83.94/12.26 spl19_450 <=> empty_set = intersection(complement(sK2),sF9)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_450])])). 83.94/12.26 tff(f93988,plain,( 83.94/12.26 empty_set = intersection(complement(sK2),sF9) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.26 inference(duplicate_literal_removal,[],[f93928])). 83.94/12.26 tff(f93928,plain,( 83.94/12.26 empty_set = intersection(complement(sK2),sF9) | empty_set = intersection(complement(sK2),sF9) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.94/12.26 inference(resolution,[],[f4848,f4955])). 83.94/12.26 tff(f269001,plain,( 83.94/12.26 spl19_480 | ~spl19_5 | ~spl19_13 | ~spl19_18), 83.94/12.26 inference(avatar_split_clause,[],[f93983,f158,f138,f106,f91238])). 83.94/12.26 tff(f91238,plain,( 83.94/12.26 spl19_480 <=> empty_set = intersection(complement(sF18),sF8)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_480])])). 83.94/12.26 tff(f93983,plain,( 83.94/12.26 empty_set = intersection(complement(sF18),sF8) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.94/12.26 inference(duplicate_literal_removal,[],[f93938])). 83.94/12.26 tff(f93938,plain,( 83.94/12.26 empty_set = intersection(complement(sF18),sF8) | empty_set = intersection(complement(sF18),sF8) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.94/12.26 inference(resolution,[],[f4848,f66510])). 83.94/12.26 tff(f269000,plain,( 83.94/12.26 spl19_882 | ~spl19_9 | ~spl19_141 | ~spl19_142), 83.94/12.26 inference(avatar_split_clause,[],[f268951,f51959,f51939,f122,f268992])). 83.94/12.26 tff(f51959,plain,( 83.94/12.26 spl19_142 <=> 2 = cardinality(union(sF11,sF9))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_142])])). 83.94/12.26 tff(f268951,plain,( 83.94/12.26 2 = $sum(1,cardinality(sF9)) | (~spl19_9 | ~spl19_141 | ~spl19_142)), 83.94/12.26 inference(forward_demodulation,[],[f51949,f51960])). 83.94/12.26 tff(f51960,plain,( 83.94/12.26 2 = cardinality(union(sF11,sF9)) | ~spl19_142), 83.94/12.26 inference(avatar_component_clause,[],[f51959])). 83.94/12.26 tff(f51949,plain,( 83.94/12.26 cardinality(union(sF11,sF9)) = $sum(1,cardinality(sF9)) | (~spl19_9 | ~spl19_141)), 83.94/12.26 inference(trivial_inequality_removal,[],[f51942])). 83.94/12.26 tff(f51942,plain,( 83.94/12.26 empty_set != empty_set | cardinality(union(sF11,sF9)) = $sum(1,cardinality(sF9)) | (~spl19_9 | ~spl19_141)), 83.94/12.26 inference(superposition,[],[f438,f51940])). 83.94/12.26 tff(f268994,plain,( 83.94/12.26 spl19_882 | ~spl19_97 | ~spl19_141 | ~spl19_142), 83.94/12.26 inference(avatar_split_clause,[],[f268924,f51959,f51939,f6753,f268992])). 83.94/12.26 tff(f268924,plain,( 83.94/12.26 2 = $sum(1,cardinality(sF9)) | (~spl19_97 | ~spl19_141 | ~spl19_142)), 83.94/12.26 inference(forward_demodulation,[],[f268923,f51960])). 83.94/12.26 tff(f268923,plain,( 83.94/12.26 cardinality(union(sF11,sF9)) = $sum(1,cardinality(sF9)) | (~spl19_97 | ~spl19_141)), 83.94/12.26 inference(forward_demodulation,[],[f51948,f6754])). 83.94/12.26 tff(f51948,plain,( 83.94/12.26 cardinality(union(sF11,sF9)) = $sum(cardinality(sF11),cardinality(sF9)) | ~spl19_141), 83.94/12.26 inference(trivial_inequality_removal,[],[f51944])). 83.94/12.26 tff(f51944,plain,( 83.94/12.26 cardinality(union(sF11,sF9)) = $sum(cardinality(sF11),cardinality(sF9)) | empty_set != empty_set | ~spl19_141), 83.94/12.26 inference(superposition,[],[f73,f51940])). 83.94/12.26 tff(f268990,plain,( 83.94/12.26 spl19_43 | spl19_75 | ~spl19_15 | ~spl19_81 | spl19_228), 83.94/12.26 inference(avatar_split_clause,[],[f55897,f54552,f1862,f146,f1535,f499])). 83.94/12.26 tff(f55897,plain,( 83.94/12.26 empty_set = sF12 | member(sK1,sF10) | (~spl19_15 | ~spl19_81 | spl19_228)), 83.94/12.26 inference(subsumption_resolution,[],[f53343,f54915])). 83.94/12.26 tff(f53343,plain,( 83.94/12.26 member(sK1,sF11) | member(sK1,sF10) | empty_set = sF12 | (~spl19_15 | ~spl19_81)), 83.94/12.26 inference(forward_demodulation,[],[f53342,f1863])). 83.94/12.26 tff(f53342,plain,( 83.94/12.26 member(sK0(sF12),sF11) | member(sK1,sF10) | empty_set = sF12 | (~spl19_15 | ~spl19_81)), 83.94/12.26 inference(forward_demodulation,[],[f1226,f1863])). 83.94/12.26 tff(f1226,plain,( 83.94/12.26 member(sK0(sF12),sF10) | member(sK0(sF12),sF11) | empty_set = sF12 | ~spl19_15), 83.94/12.26 inference(resolution,[],[f350,f59])). 83.94/12.26 tff(f268876,plain,( 83.94/12.26 ~spl19_10 | ~spl19_11 | ~spl19_16 | ~spl19_18 | ~spl19_20 | spl19_39 | ~spl19_66 | ~spl19_95 | spl19_147 | ~spl19_169), 83.94/12.26 inference(avatar_contradiction_clause,[],[f268875])). 83.94/12.26 tff(f268875,plain,( 83.94/12.26 $false | (~spl19_10 | ~spl19_11 | ~spl19_16 | ~spl19_18 | ~spl19_20 | spl19_39 | ~spl19_66 | ~spl19_95 | spl19_147 | ~spl19_169)), 83.94/12.26 inference(subsumption_resolution,[],[f268870,f465])). 83.94/12.26 tff(f465,plain,( 83.94/12.26 3 != sF15 | spl19_39), 83.94/12.26 inference(avatar_component_clause,[],[f464])). 83.94/12.26 tff(f464,plain,( 83.94/12.26 spl19_39 <=> 3 = sF15), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_39])])). 83.94/12.26 tff(f268870,plain,( 83.94/12.26 3 = sF15 | (~spl19_10 | ~spl19_11 | ~spl19_16 | ~spl19_18 | ~spl19_20 | ~spl19_66 | ~spl19_95 | spl19_147 | ~spl19_169)), 83.94/12.26 inference(backward_demodulation,[],[f131,f268789])). 83.94/12.26 tff(f268789,plain,( 83.94/12.26 3 = cardinality(sF14) | (~spl19_10 | ~spl19_16 | ~spl19_18 | ~spl19_20 | ~spl19_66 | ~spl19_95 | spl19_147 | ~spl19_169)), 83.94/12.26 inference(forward_demodulation,[],[f268788,f151])). 83.94/12.26 tff(f268788,plain,( 83.94/12.26 3 = cardinality(union(sF12,sF13)) | (~spl19_10 | ~spl19_18 | ~spl19_20 | ~spl19_66 | ~spl19_95 | spl19_147 | ~spl19_169)), 83.94/12.26 inference(subsumption_resolution,[],[f268779,f84082])). 83.94/12.26 tff(f268779,plain,( 83.94/12.26 member(sK7,sF18) | 3 = cardinality(union(sF12,sF13)) | (~spl19_10 | ~spl19_18 | ~spl19_20 | ~spl19_66 | ~spl19_95 | ~spl19_169)), 83.94/12.26 inference(superposition,[],[f262607,f127])). 83.94/12.26 tff(f262607,plain,( 83.94/12.26 ( ! [X0 : element] : (3 = cardinality(union(sF12,singleton(X0))) | member(X0,sF18)) ) | (~spl19_18 | ~spl19_20 | ~spl19_66 | ~spl19_95 | ~spl19_169)), 83.94/12.26 inference(evaluation,[],[f262606])). 83.94/12.26 tff(f262606,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,sF18) | $sum(1,2) = cardinality(union(sF12,singleton(X0)))) ) | (~spl19_18 | ~spl19_20 | ~spl19_66 | ~spl19_95 | ~spl19_169)), 83.94/12.26 inference(forward_demodulation,[],[f262605,f53131])). 83.94/12.26 tff(f53131,plain,( 83.94/12.26 2 = cardinality(sF12) | ~spl19_169), 83.94/12.26 inference(avatar_component_clause,[],[f53130])). 83.94/12.26 tff(f53130,plain,( 83.94/12.26 spl19_169 <=> 2 = cardinality(sF12)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_169])])). 83.94/12.26 tff(f262605,plain,( 83.94/12.26 ( ! [X0 : element] : (cardinality(union(sF12,singleton(X0))) = $sum(1,cardinality(sF12)) | member(X0,sF18)) ) | (~spl19_18 | ~spl19_20 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(forward_demodulation,[],[f262604,f15])). 83.94/12.26 tff(f262604,plain,( 83.94/12.26 ( ! [X0 : element] : (cardinality(union(sF12,singleton(X0))) = $sum(cardinality(sF12),1) | member(X0,sF18)) ) | (~spl19_18 | ~spl19_20 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(forward_demodulation,[],[f262536,f6730])). 83.94/12.26 tff(f262536,plain,( 83.94/12.26 ( ! [X0 : element] : (cardinality(union(sF12,singleton(X0))) = $sum(cardinality(sF12),cardinality(singleton(X0))) | member(X0,sF18)) ) | (~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(trivial_inequality_removal,[],[f262457])). 83.94/12.26 tff(f262457,plain,( 83.94/12.26 ( ! [X0 : element] : (empty_set != empty_set | cardinality(union(sF12,singleton(X0))) = $sum(cardinality(sF12),cardinality(singleton(X0))) | member(X0,sF18)) ) | (~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(superposition,[],[f73,f262423])). 83.94/12.26 tff(f262423,plain,( 83.94/12.26 ( ! [X0 : element] : (empty_set = intersection(sF12,singleton(X0)) | member(X0,sF18)) ) | (~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(duplicate_literal_removal,[],[f262415])). 83.94/12.26 tff(f262415,plain,( 83.94/12.26 ( ! [X0 : element] : (empty_set = intersection(sF12,singleton(X0)) | member(X0,sF18) | empty_set = intersection(sF12,singleton(X0))) ) | (~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(superposition,[],[f262405,f4898])). 83.94/12.26 tff(f262405,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(intersection(sF12,X0)),sF18) | empty_set = intersection(sF12,X0)) ) | (~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(subsumption_resolution,[],[f262390,f5437])). 83.94/12.26 tff(f262390,plain,( 83.94/12.26 ( ! [X0 : set] : (empty_set = intersection(sF12,X0) | member(sK0(intersection(sF12,X0)),sF9) | member(sK0(intersection(sF12,X0)),sF18)) ) | (~spl19_18 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f54944,f238])). 83.94/12.26 tff(f54944,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(intersection(sF12,X0)),sF11) | empty_set = intersection(sF12,X0) | member(sK0(intersection(sF12,X0)),sF9)) ) | ~spl19_66), 83.94/12.26 inference(resolution,[],[f53666,f233])). 83.94/12.26 tff(f53666,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sF12) | member(X0,sF9) | member(X0,sF11)) ) | ~spl19_66), 83.94/12.26 inference(superposition,[],[f55,f1444])). 83.94/12.26 tff(f1444,plain,( 83.94/12.26 sF12 = union(sF9,sF11) | ~spl19_66), 83.94/12.26 inference(avatar_component_clause,[],[f1443])). 83.94/12.26 tff(f1443,plain,( 83.94/12.26 spl19_66 <=> sF12 = union(sF9,sF11)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_66])])). 83.94/12.26 tff(f268874,plain,( 83.94/12.26 spl19_881 | ~spl19_10 | ~spl19_16 | ~spl19_18 | ~spl19_20 | ~spl19_66 | ~spl19_95 | spl19_147 | ~spl19_169), 83.94/12.26 inference(avatar_split_clause,[],[f268789,f53130,f52209,f5373,f1443,f181,f158,f150,f126,f268872])). 83.94/12.26 tff(f268872,plain,( 83.94/12.26 spl19_881 <=> 3 = cardinality(sF14)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_881])])). 83.94/12.26 tff(f268538,plain,( 83.94/12.26 spl19_880 | ~spl19_775), 83.94/12.26 inference(avatar_split_clause,[],[f268472,f218030,f268536])). 83.94/12.26 tff(f268536,plain,( 83.94/12.26 spl19_880 <=> empty_set = difference(complement(sF18),complement(sF11))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_880])])). 83.94/12.26 tff(f218030,plain,( 83.94/12.26 spl19_775 <=> empty_set = union(difference(complement(sF18),complement(sF11)),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_775])])). 83.94/12.26 tff(f268472,plain,( 83.94/12.26 empty_set = difference(complement(sF18),complement(sF11)) | ~spl19_775), 83.94/12.26 inference(resolution,[],[f268005,f59])). 83.94/12.26 tff(f268005,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,difference(complement(sF18),complement(sF11)))) ) | ~spl19_775), 83.94/12.26 inference(subsumption_resolution,[],[f267953,f162])). 83.94/12.26 tff(f267953,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(complement(sF18),complement(sF11)))) ) | ~spl19_775), 83.94/12.26 inference(superposition,[],[f54,f218031])). 83.94/12.26 tff(f218031,plain,( 83.94/12.26 empty_set = union(difference(complement(sF18),complement(sF11)),empty_set) | ~spl19_775), 83.94/12.26 inference(avatar_component_clause,[],[f218030])). 83.94/12.26 tff(f267944,plain,( 83.94/12.26 spl19_873 | ~spl19_10 | ~spl19_18 | ~spl19_66 | ~spl19_95 | spl19_147), 83.94/12.26 inference(avatar_split_clause,[],[f262798,f52209,f5373,f1443,f158,f126,f263830])). 83.94/12.26 tff(f262798,plain,( 83.94/12.26 empty_set = intersection(sF13,sF12) | (~spl19_10 | ~spl19_18 | ~spl19_66 | ~spl19_95 | spl19_147)), 83.94/12.26 inference(subsumption_resolution,[],[f262794,f84082])). 83.94/12.26 tff(f262794,plain,( 83.94/12.26 empty_set = intersection(sF13,sF12) | member(sK7,sF18) | (~spl19_10 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(duplicate_literal_removal,[],[f262789])). 83.94/12.26 tff(f262789,plain,( 83.94/12.26 empty_set = intersection(sF13,sF12) | member(sK7,sF18) | empty_set = intersection(sF13,sF12) | (~spl19_10 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(superposition,[],[f262652,f4861])). 83.94/12.26 tff(f262652,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(intersection(X0,sF12)),sF18) | empty_set = intersection(X0,sF12)) ) | (~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(subsumption_resolution,[],[f262637,f5437])). 83.94/12.26 tff(f262637,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(intersection(X0,sF12)),sF18) | member(sK0(intersection(X0,sF12)),sF9) | empty_set = intersection(X0,sF12)) ) | (~spl19_18 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f54951,f238])). 83.94/12.26 tff(f54951,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(intersection(X0,sF12)),sF11) | empty_set = intersection(X0,sF12) | member(sK0(intersection(X0,sF12)),sF9)) ) | ~spl19_66), 83.94/12.26 inference(resolution,[],[f53666,f234])). 83.94/12.26 tff(f267662,plain,( 83.94/12.26 spl19_879 | ~spl19_774), 83.94/12.26 inference(avatar_split_clause,[],[f267596,f217881,f267660])). 83.94/12.26 tff(f267660,plain,( 83.94/12.26 spl19_879 <=> empty_set = difference(complement(sF8),complement(sF9))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_879])])). 83.94/12.26 tff(f217881,plain,( 83.94/12.26 spl19_774 <=> empty_set = union(difference(complement(sF8),complement(sF9)),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_774])])). 83.94/12.26 tff(f267596,plain,( 83.94/12.26 empty_set = difference(complement(sF8),complement(sF9)) | ~spl19_774), 83.94/12.26 inference(resolution,[],[f267590,f59])). 83.94/12.26 tff(f267590,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,difference(complement(sF8),complement(sF9)))) ) | ~spl19_774), 83.94/12.26 inference(subsumption_resolution,[],[f267537,f162])). 83.94/12.26 tff(f267537,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(complement(sF8),complement(sF9)))) ) | ~spl19_774), 83.94/12.26 inference(superposition,[],[f54,f217882])). 83.94/12.26 tff(f217882,plain,( 83.94/12.26 empty_set = union(difference(complement(sF8),complement(sF9)),empty_set) | ~spl19_774), 83.94/12.26 inference(avatar_component_clause,[],[f217881])). 83.94/12.26 tff(f267591,plain,( 83.94/12.26 spl19_872 | ~spl19_10 | ~spl19_18 | ~spl19_66 | ~spl19_95 | spl19_147), 83.94/12.26 inference(avatar_split_clause,[],[f262425,f52209,f5373,f1443,f158,f126,f262802])). 83.94/12.26 tff(f262425,plain,( 83.94/12.26 empty_set = intersection(sF12,sF13) | (~spl19_10 | ~spl19_18 | ~spl19_66 | ~spl19_95 | spl19_147)), 83.94/12.26 inference(subsumption_resolution,[],[f262424,f84082])). 83.94/12.26 tff(f262424,plain,( 83.94/12.26 empty_set = intersection(sF12,sF13) | member(sK7,sF18) | (~spl19_10 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(duplicate_literal_removal,[],[f262418])). 83.94/12.26 tff(f262418,plain,( 83.94/12.26 empty_set = intersection(sF12,sF13) | empty_set = intersection(sF12,sF13) | member(sK7,sF18) | (~spl19_10 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(superposition,[],[f262405,f4917])). 83.94/12.26 tff(f265534,plain,( 83.94/12.26 spl19_878 | ~spl19_7 | ~spl19_18 | ~spl19_66 | ~spl19_95), 83.94/12.26 inference(avatar_split_clause,[],[f265340,f5373,f1443,f158,f114,f265532])). 83.94/12.26 tff(f265340,plain,( 83.94/12.26 empty_set = intersection(complement(sK2),sF12) | (~spl19_7 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(duplicate_literal_removal,[],[f265330])). 83.94/12.26 tff(f265330,plain,( 83.94/12.26 empty_set = intersection(complement(sK2),sF12) | empty_set = intersection(complement(sK2),sF12) | (~spl19_7 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(resolution,[],[f262787,f4848])). 83.94/12.26 tff(f262787,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(intersection(X0,sF12)),sK2) | empty_set = intersection(X0,sF12)) ) | (~spl19_7 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(resolution,[],[f262652,f272])). 83.94/12.26 tff(f265346,plain,( 83.94/12.26 spl19_877 | ~spl19_7 | ~spl19_18 | ~spl19_66 | ~spl19_95), 83.94/12.26 inference(avatar_split_clause,[],[f265328,f5373,f1443,f158,f114,f265344])). 83.94/12.26 tff(f265328,plain,( 83.94/12.26 empty_set = difference(sF12,sK2) | (~spl19_7 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(duplicate_literal_removal,[],[f265324])). 83.94/12.26 tff(f265324,plain,( 83.94/12.26 empty_set = difference(sF12,sK2) | empty_set = difference(sF12,sK2) | (~spl19_7 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(resolution,[],[f262779,f246])). 83.94/12.26 tff(f262779,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(difference(sF12,X0)),sK2) | empty_set = difference(sF12,X0)) ) | (~spl19_7 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(resolution,[],[f262439,f272])). 83.94/12.26 tff(f262439,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(difference(sF12,X0)),sF18) | empty_set = difference(sF12,X0)) ) | (~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(subsumption_resolution,[],[f262433,f5437])). 83.94/12.26 tff(f262433,plain,( 83.94/12.26 ( ! [X0 : set] : (empty_set = difference(sF12,X0) | member(sK0(difference(sF12,X0)),sF18) | member(sK0(difference(sF12,X0)),sF9)) ) | (~spl19_18 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f54949,f238])). 83.94/12.26 tff(f54949,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(difference(sF12,X0)),sF11) | member(sK0(difference(sF12,X0)),sF9) | empty_set = difference(sF12,X0)) ) | ~spl19_66), 83.94/12.26 inference(resolution,[],[f53666,f245])). 83.94/12.26 tff(f264620,plain,( 83.94/12.26 spl19_876 | ~spl19_763 | ~spl19_874), 83.94/12.26 inference(avatar_split_clause,[],[f264539,f263834,f214840,f264618])). 83.94/12.26 tff(f264618,plain,( 83.94/12.26 spl19_876 <=> member(sK0(complement(sK2)),complement(sF8))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_876])])). 83.94/12.26 tff(f214840,plain,( 83.94/12.26 spl19_763 <=> empty_set = union(difference(complement(sF9),complement(sF8)),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_763])])). 83.94/12.26 tff(f263834,plain,( 83.94/12.26 spl19_874 <=> member(sK0(complement(sK2)),complement(sF9))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_874])])). 83.94/12.26 tff(f264539,plain,( 83.94/12.26 member(sK0(complement(sK2)),complement(sF8)) | (~spl19_763 | ~spl19_874)), 83.94/12.26 inference(resolution,[],[f263835,f255248])). 83.94/12.26 tff(f255248,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,complement(sF9)) | member(X0,complement(sF8))) ) | ~spl19_763), 83.94/12.26 inference(resolution,[],[f255234,f61])). 83.94/12.26 tff(f255234,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,difference(complement(sF9),complement(sF8)))) ) | ~spl19_763), 83.94/12.26 inference(subsumption_resolution,[],[f255182,f162])). 83.94/12.26 tff(f255182,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,difference(complement(sF9),complement(sF8))) | member(X0,empty_set)) ) | ~spl19_763), 83.94/12.26 inference(superposition,[],[f54,f214841])). 83.94/12.26 tff(f214841,plain,( 83.94/12.26 empty_set = union(difference(complement(sF9),complement(sF8)),empty_set) | ~spl19_763), 83.94/12.26 inference(avatar_component_clause,[],[f214840])). 83.94/12.26 tff(f263835,plain,( 83.94/12.26 member(sK0(complement(sK2)),complement(sF9)) | ~spl19_874), 83.94/12.26 inference(avatar_component_clause,[],[f263834])). 83.94/12.26 tff(f263897,plain,( 83.94/12.26 spl19_875 | ~spl19_7 | ~spl19_18 | ~spl19_66 | ~spl19_95), 83.94/12.26 inference(avatar_split_clause,[],[f263888,f5373,f1443,f158,f114,f263895])). 83.94/12.26 tff(f263888,plain,( 83.94/12.26 empty_set = intersection(sF12,complement(sK2)) | (~spl19_7 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(duplicate_literal_removal,[],[f263881])). 83.94/12.26 tff(f263881,plain,( 83.94/12.26 empty_set = intersection(sF12,complement(sK2)) | empty_set = intersection(sF12,complement(sK2)) | (~spl19_7 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(resolution,[],[f262414,f4904])). 83.94/12.26 tff(f262414,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(intersection(sF12,X0)),sK2) | empty_set = intersection(sF12,X0)) ) | (~spl19_7 | ~spl19_18 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(resolution,[],[f262405,f272])). 83.94/12.26 tff(f263836,plain,( 83.94/12.26 spl19_874 | ~spl19_767 | ~spl19_831), 83.94/12.26 inference(avatar_split_clause,[],[f263720,f254111,f217143,f263834])). 83.94/12.26 tff(f217143,plain,( 83.94/12.26 spl19_767 <=> empty_set = union(difference(complement(sK5),complement(sF9)),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_767])])). 83.94/12.26 tff(f254111,plain,( 83.94/12.26 spl19_831 <=> member(sK0(complement(sK2)),complement(sK5))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_831])])). 83.94/12.26 tff(f263720,plain,( 83.94/12.26 member(sK0(complement(sK2)),complement(sF9)) | (~spl19_767 | ~spl19_831)), 83.94/12.26 inference(resolution,[],[f257689,f254112])). 83.94/12.26 tff(f254112,plain,( 83.94/12.26 member(sK0(complement(sK2)),complement(sK5)) | ~spl19_831), 83.94/12.26 inference(avatar_component_clause,[],[f254111])). 83.94/12.26 tff(f257689,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,complement(sK5)) | member(X0,complement(sF9))) ) | ~spl19_767), 83.94/12.26 inference(resolution,[],[f256747,f61])). 83.94/12.26 tff(f256747,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,difference(complement(sK5),complement(sF9)))) ) | ~spl19_767), 83.94/12.26 inference(subsumption_resolution,[],[f256694,f162])). 83.94/12.26 tff(f256694,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(complement(sK5),complement(sF9)))) ) | ~spl19_767), 83.94/12.26 inference(superposition,[],[f54,f217144])). 83.94/12.26 tff(f217144,plain,( 83.94/12.26 empty_set = union(difference(complement(sK5),complement(sF9)),empty_set) | ~spl19_767), 83.94/12.26 inference(avatar_component_clause,[],[f217143])). 83.94/12.26 tff(f263832,plain,( 83.94/12.26 spl19_873 | ~spl19_10 | ~spl19_66 | spl19_161 | spl19_271), 83.94/12.26 inference(avatar_split_clause,[],[f262650,f55520,f52588,f1443,f126,f263830])). 83.94/12.26 tff(f262650,plain,( 83.94/12.26 empty_set = intersection(sF13,sF12) | (~spl19_10 | ~spl19_66 | spl19_161 | spl19_271)), 83.94/12.26 inference(subsumption_resolution,[],[f262649,f52589])). 83.94/12.26 tff(f262649,plain,( 83.94/12.26 empty_set = intersection(sF13,sF12) | member(sK7,sF9) | (~spl19_10 | ~spl19_66 | spl19_271)), 83.94/12.26 inference(subsumption_resolution,[],[f262648,f97687])). 83.94/12.26 tff(f262648,plain,( 83.94/12.26 member(sK7,sF11) | member(sK7,sF9) | empty_set = intersection(sF13,sF12) | (~spl19_10 | ~spl19_66)), 83.94/12.26 inference(duplicate_literal_removal,[],[f262640])). 83.94/12.26 tff(f262640,plain,( 83.94/12.26 empty_set = intersection(sF13,sF12) | member(sK7,sF9) | member(sK7,sF11) | empty_set = intersection(sF13,sF12) | (~spl19_10 | ~spl19_66)), 83.94/12.26 inference(superposition,[],[f54951,f4861])). 83.94/12.26 tff(f262804,plain,( 83.94/12.26 spl19_872 | ~spl19_10 | ~spl19_66 | spl19_161 | spl19_271), 83.94/12.26 inference(avatar_split_clause,[],[f262404,f55520,f52588,f1443,f126,f262802])). 83.94/12.26 tff(f262404,plain,( 83.94/12.26 empty_set = intersection(sF12,sF13) | (~spl19_10 | ~spl19_66 | spl19_161 | spl19_271)), 83.94/12.26 inference(subsumption_resolution,[],[f262403,f52589])). 83.94/12.26 tff(f262403,plain,( 83.94/12.26 empty_set = intersection(sF12,sF13) | member(sK7,sF9) | (~spl19_10 | ~spl19_66 | spl19_271)), 83.94/12.26 inference(subsumption_resolution,[],[f262399,f97687])). 83.94/12.26 tff(f262399,plain,( 83.94/12.26 member(sK7,sF11) | member(sK7,sF9) | empty_set = intersection(sF12,sF13) | (~spl19_10 | ~spl19_66)), 83.94/12.26 inference(duplicate_literal_removal,[],[f262395])). 83.94/12.26 tff(f262395,plain,( 83.94/12.26 member(sK7,sF9) | empty_set = intersection(sF12,sF13) | empty_set = intersection(sF12,sF13) | member(sK7,sF11) | (~spl19_10 | ~spl19_66)), 83.94/12.26 inference(superposition,[],[f54944,f4917])). 83.94/12.26 tff(f262773,plain,( 83.94/12.26 spl19_860 | ~spl19_16 | ~spl19_869), 83.94/12.26 inference(avatar_split_clause,[],[f262625,f262407,f150,f258877])). 83.94/12.26 tff(f258877,plain,( 83.94/12.26 spl19_860 <=> member(sK0(union(difference(sF12,sF11),empty_set)),sF14)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_860])])). 83.94/12.26 tff(f262407,plain,( 83.94/12.26 spl19_869 <=> member(sK0(union(difference(sF12,sF11),empty_set)),sF12)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_869])])). 83.94/12.26 tff(f262625,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sF14) | (~spl19_16 | ~spl19_869)), 83.94/12.26 inference(resolution,[],[f262408,f244])). 83.94/12.26 tff(f262408,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sF12) | ~spl19_869), 83.94/12.26 inference(avatar_component_clause,[],[f262407])). 83.94/12.26 tff(f262772,plain,( 83.94/12.26 spl19_870 | ~spl19_7 | ~spl19_868), 83.94/12.26 inference(avatar_split_clause,[],[f262621,f262237,f114,f262627])). 83.94/12.26 tff(f262627,plain,( 83.94/12.26 spl19_870 <=> member(sK0(union(difference(sF12,sF11),empty_set)),sK2)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_870])])). 83.94/12.26 tff(f262237,plain,( 83.94/12.26 spl19_868 <=> member(sK0(union(difference(sF12,sF11),empty_set)),sF18)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_868])])). 83.94/12.26 tff(f262621,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sK2) | (~spl19_7 | ~spl19_868)), 83.94/12.26 inference(resolution,[],[f262238,f272])). 83.94/12.26 tff(f262238,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sF18) | ~spl19_868), 83.94/12.26 inference(avatar_component_clause,[],[f262237])). 83.94/12.26 tff(f262674,plain,( 83.94/12.26 ~spl19_871 | ~spl19_145 | ~spl19_868), 83.94/12.26 inference(avatar_split_clause,[],[f262619,f262237,f52201,f262672])). 83.94/12.26 tff(f262672,plain,( 83.94/12.26 spl19_871 <=> member(sK0(union(difference(sF12,sF11),empty_set)),sF13)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_871])])). 83.94/12.26 tff(f262619,plain,( 83.94/12.26 ~member(sK0(union(difference(sF12,sF11),empty_set)),sF13) | (~spl19_145 | ~spl19_868)), 83.94/12.26 inference(resolution,[],[f262238,f52220])). 83.94/12.26 tff(f262670,plain,( 83.94/12.26 spl19_861 | ~spl19_8 | ~spl19_867), 83.94/12.26 inference(avatar_split_clause,[],[f262617,f262233,f118,f258882])). 83.94/12.26 tff(f258882,plain,( 83.94/12.26 spl19_861 <=> sK1 = sK0(union(difference(sF12,sF11),empty_set))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_861])])). 83.94/12.26 tff(f262233,plain,( 83.94/12.26 spl19_867 <=> member(sK0(union(difference(sF12,sF11),empty_set)),sF8)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_867])])). 83.94/12.26 tff(f262617,plain,( 83.94/12.26 sK1 = sK0(union(difference(sF12,sF11),empty_set)) | (~spl19_8 | ~spl19_867)), 83.94/12.26 inference(resolution,[],[f262234,f204])). 83.94/12.26 tff(f262234,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sF8) | ~spl19_867), 83.94/12.26 inference(avatar_component_clause,[],[f262233])). 83.94/12.26 tff(f262656,plain,( 83.94/12.26 spl19_741 | ~spl19_13 | ~spl19_867), 83.94/12.26 inference(avatar_split_clause,[],[f262616,f262233,f138,f204108])). 83.94/12.26 tff(f204108,plain,( 83.94/12.26 spl19_741 <=> member(sK0(union(difference(sF12,sF11),empty_set)),sF9)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_741])])). 83.94/12.26 tff(f262616,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sF9) | (~spl19_13 | ~spl19_867)), 83.94/12.26 inference(resolution,[],[f262234,f235])). 83.94/12.26 tff(f262655,plain,( 83.94/12.26 spl19_870 | ~spl19_351 | ~spl19_866), 83.94/12.26 inference(avatar_split_clause,[],[f262610,f261843,f66621,f262627])). 83.94/12.26 tff(f261843,plain,( 83.94/12.26 spl19_866 <=> member(sK0(union(difference(sF12,sF11),empty_set)),sK5)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_866])])). 83.94/12.26 tff(f262610,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sK2) | (~spl19_351 | ~spl19_866)), 83.94/12.26 inference(resolution,[],[f261844,f66648])). 83.94/12.26 tff(f261844,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sK5) | ~spl19_866), 83.94/12.26 inference(avatar_component_clause,[],[f261843])). 83.94/12.26 tff(f262654,plain,( 83.94/12.26 spl19_870 | ~spl19_92 | ~spl19_741), 83.94/12.26 inference(avatar_split_clause,[],[f258580,f204108,f5066,f262627])). 83.94/12.26 tff(f258580,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sK2) | (~spl19_92 | ~spl19_741)), 83.94/12.26 inference(resolution,[],[f204109,f5553])). 83.94/12.26 tff(f204109,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sF9) | ~spl19_741), 83.94/12.26 inference(avatar_component_clause,[],[f204108])). 83.94/12.26 tff(f262630,plain,( 83.94/12.26 spl19_870 | ~spl19_505 | ~spl19_736 | ~spl19_869), 83.94/12.26 inference(avatar_split_clause,[],[f262622,f262407,f203724,f99485,f262627])). 83.94/12.26 tff(f99485,plain,( 83.94/12.26 spl19_505 <=> empty_set = difference(complement(sK2),complement(sF18))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_505])])). 83.94/12.26 tff(f203724,plain,( 83.94/12.26 spl19_736 <=> empty_set = union(intersection(sF12,complement(sF18)),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_736])])). 83.94/12.26 tff(f262622,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sK2) | (~spl19_505 | ~spl19_736 | ~spl19_869)), 83.94/12.26 inference(resolution,[],[f262408,f210890])). 83.94/12.26 tff(f210890,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sF12) | member(X0,sK2)) ) | (~spl19_505 | ~spl19_736)), 83.94/12.26 inference(resolution,[],[f210504,f100991])). 83.94/12.26 tff(f100991,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,complement(sF18)) | member(X0,sK2)) ) | ~spl19_505), 83.94/12.26 inference(resolution,[],[f100209,f57])). 83.94/12.26 tff(f100209,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,complement(sK2)) | member(X0,complement(sF18))) ) | ~spl19_505), 83.94/12.26 inference(subsumption_resolution,[],[f100159,f162])). 83.94/12.26 tff(f100159,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,empty_set) | member(X0,complement(sF18)) | ~member(X0,complement(sK2))) ) | ~spl19_505), 83.94/12.26 inference(superposition,[],[f61,f99486])). 83.94/12.26 tff(f99486,plain,( 83.94/12.26 empty_set = difference(complement(sK2),complement(sF18)) | ~spl19_505), 83.94/12.26 inference(avatar_component_clause,[],[f99485])). 83.94/12.26 tff(f210504,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,complement(sF18)) | ~member(X0,sF12)) ) | ~spl19_736), 83.94/12.26 inference(resolution,[],[f210355,f46])). 83.94/12.26 tff(f210355,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF12,complement(sF18)))) ) | ~spl19_736), 83.94/12.26 inference(subsumption_resolution,[],[f210317,f162])). 83.94/12.26 tff(f210317,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF12,complement(sF18))) | member(X0,empty_set)) ) | ~spl19_736), 83.94/12.26 inference(superposition,[],[f54,f203725])). 83.94/12.26 tff(f203725,plain,( 83.94/12.26 empty_set = union(intersection(sF12,complement(sF18)),empty_set) | ~spl19_736), 83.94/12.26 inference(avatar_component_clause,[],[f203724])). 83.94/12.26 tff(f262629,plain,( 83.94/12.26 spl19_870 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_867), 83.94/12.26 inference(avatar_split_clause,[],[f262614,f262233,f1281,f540,f264,f118,f98,f262627])). 83.94/12.26 tff(f540,plain,( 83.94/12.26 spl19_49 <=> member(sK1,sK2)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_49])])). 83.94/12.26 tff(f262614,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sK2) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_867)), 83.94/12.26 inference(resolution,[],[f262234,f59335])). 83.94/12.26 tff(f59335,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sF8) | member(X0,sK2)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59282,f541])). 83.94/12.26 tff(f541,plain,( 83.94/12.26 member(sK1,sK2) | ~spl19_49), 83.94/12.26 inference(avatar_component_clause,[],[f540])). 83.94/12.26 tff(f59282,plain,( 83.94/12.26 ( ! [X0 : set,X1 : element] : (~member(sK1,X0) | ~member(X1,sF8) | member(X1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f57946,f61])). 83.94/12.26 tff(f57946,plain,( 83.94/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,difference(sF8,X0)) | ~member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(subsumption_resolution,[],[f57941,f162])). 83.94/12.26 tff(f57941,plain,( 83.94/12.26 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(sK1,X0) | ~member(X1,difference(sF8,X0))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(superposition,[],[f54,f56684])). 83.94/12.26 tff(f56684,plain,( 83.94/12.26 ( ! [X0 : set] : (empty_set = union(difference(sF8,X0),empty_set) | ~member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f56678])). 83.94/12.26 tff(f56678,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK1,X0) | empty_set = union(difference(sF8,X0),empty_set) | empty_set = union(difference(sF8,X0),empty_set)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(superposition,[],[f53901,f54312])). 83.94/12.26 tff(f54312,plain,( 83.94/12.26 ( ! [X0 : set] : (sK1 = sK0(union(difference(sF8,X0),empty_set)) | empty_set = union(difference(sF8,X0),empty_set)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53902,f204])). 83.94/12.26 tff(f53902,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (member(sK0(union(difference(X0,X1),empty_set)),X0) | empty_set = union(difference(X0,X1),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53895,f62])). 83.94/12.26 tff(f53895,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(X0,empty_set)),X0) | empty_set = union(X0,empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(forward_demodulation,[],[f53894,f265])). 83.94/12.26 tff(f53894,plain,( 83.94/12.26 ( ! [X0 : set] : (empty_set = union(X0,empty_set) | member(sK0(union(X0,sK3)),X0)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(forward_demodulation,[],[f53372,f265])). 83.94/12.26 tff(f53372,plain,( 83.94/12.26 ( ! [X0 : set] : (empty_set = union(X0,sK3) | member(sK0(union(X0,sK3)),X0)) ) | (~spl19_3 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53340,f347])). 83.94/12.26 tff(f53340,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sK3)) ) | (~spl19_3 | ~spl19_61)), 83.94/12.26 inference(subsumption_resolution,[],[f53339,f162])). 83.94/12.26 tff(f53339,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sK3) | member(X0,empty_set)) ) | (~spl19_3 | ~spl19_61)), 83.94/12.26 inference(forward_demodulation,[],[f270,f1282])). 83.94/12.26 tff(f1282,plain,( 83.94/12.26 empty_set = sK4 | ~spl19_61), 83.94/12.26 inference(avatar_component_clause,[],[f1281])). 83.94/12.26 tff(f53901,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (~member(sK0(union(difference(X0,X1),empty_set)),X1) | empty_set = union(difference(X0,X1),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53895,f63])). 83.94/12.26 tff(f262618,plain,( 83.94/12.26 spl19_868 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_867), 83.94/12.26 inference(avatar_split_clause,[],[f262612,f262233,f1281,f535,f264,f118,f98,f262237])). 83.94/12.26 tff(f535,plain,( 83.94/12.26 spl19_48 <=> member(sK1,sF18)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_48])])). 83.94/12.26 tff(f262612,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sF18) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_867)), 83.94/12.26 inference(resolution,[],[f262234,f59341])). 83.94/12.26 tff(f59341,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sF8) | member(X0,sF18)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59282,f536])). 83.94/12.26 tff(f536,plain,( 83.94/12.26 member(sK1,sF18) | ~spl19_48), 83.94/12.26 inference(avatar_component_clause,[],[f535])). 83.94/12.26 tff(f262409,plain,( 83.94/12.26 spl19_869 | ~spl19_66 | ~spl19_741), 83.94/12.26 inference(avatar_split_clause,[],[f258581,f204108,f1443,f262407])). 83.94/12.26 tff(f258581,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sF12) | (~spl19_66 | ~spl19_741)), 83.94/12.26 inference(resolution,[],[f204109,f53667])). 83.94/12.26 tff(f53667,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF12)) ) | ~spl19_66), 83.94/12.26 inference(superposition,[],[f54,f1444])). 83.94/12.26 tff(f262239,plain,( 83.94/12.26 spl19_868 | ~spl19_95 | ~spl19_741), 83.94/12.26 inference(avatar_split_clause,[],[f258579,f204108,f5373,f262237])). 83.94/12.26 tff(f258579,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sF18) | (~spl19_95 | ~spl19_741)), 83.94/12.26 inference(resolution,[],[f204109,f5437])). 83.94/12.26 tff(f262235,plain,( 83.94/12.26 spl19_867 | ~spl19_64 | ~spl19_741), 83.94/12.26 inference(avatar_split_clause,[],[f258578,f204108,f1429,f262233])). 83.94/12.26 tff(f1429,plain,( 83.94/12.26 spl19_64 <=> sF9 = union(empty_set,sF8)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_64])])). 83.94/12.26 tff(f258578,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sF8) | (~spl19_64 | ~spl19_741)), 83.94/12.26 inference(resolution,[],[f204109,f2677])). 83.94/12.26 tff(f2677,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF8)) ) | ~spl19_64), 83.94/12.26 inference(subsumption_resolution,[],[f2674,f162])). 83.94/12.26 tff(f2674,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF9) | member(X0,sF8)) ) | ~spl19_64), 83.94/12.26 inference(superposition,[],[f55,f1430])). 83.94/12.26 tff(f1430,plain,( 83.94/12.26 sF9 = union(empty_set,sF8) | ~spl19_64), 83.94/12.26 inference(avatar_component_clause,[],[f1429])). 83.94/12.26 tff(f261845,plain,( 83.94/12.26 spl19_866 | ~spl19_5 | ~spl19_741), 83.94/12.26 inference(avatar_split_clause,[],[f258577,f204108,f106,f261843])). 83.94/12.26 tff(f258577,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sK5) | (~spl19_5 | ~spl19_741)), 83.94/12.26 inference(resolution,[],[f204109,f271])). 83.94/12.26 tff(f261826,plain,( 83.94/12.26 spl19_865 | ~spl19_20 | ~spl19_808), 83.94/12.26 inference(avatar_split_clause,[],[f261659,f224511,f181,f261824])). 83.94/12.26 tff(f261824,plain,( 83.94/12.26 spl19_865 <=> 0 = cardinality(intersection(sF12,complement(sF11)))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_865])])). 83.94/12.26 tff(f261659,plain,( 83.94/12.26 0 = cardinality(intersection(sF12,complement(sF11))) | (~spl19_20 | ~spl19_808)), 83.94/12.26 inference(forward_demodulation,[],[f261611,f182])). 83.94/12.26 tff(f261611,plain,( 83.94/12.26 cardinality(empty_set) = cardinality(intersection(sF12,complement(sF11))) | (~spl19_20 | ~spl19_808)), 83.94/12.26 inference(superposition,[],[f6110,f224512])). 83.94/12.26 tff(f261247,plain,( 83.94/12.26 spl19_864 | ~spl19_20 | ~spl19_862), 83.94/12.26 inference(avatar_split_clause,[],[f261235,f259381,f181,f261245])). 83.94/12.26 tff(f261245,plain,( 83.94/12.26 spl19_864 <=> 0 = cardinality(difference(sF8,empty_set))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_864])])). 83.94/12.26 tff(f261235,plain,( 83.94/12.26 0 = cardinality(difference(sF8,empty_set)) | (~spl19_20 | ~spl19_862)), 83.94/12.26 inference(forward_demodulation,[],[f261187,f182])). 83.94/12.26 tff(f261187,plain,( 83.94/12.26 cardinality(empty_set) = cardinality(difference(sF8,empty_set)) | (~spl19_20 | ~spl19_862)), 83.94/12.26 inference(superposition,[],[f6110,f259382])). 83.94/12.26 tff(f261182,plain,( 83.94/12.26 ~spl19_48 | ~spl19_245 | ~spl19_805), 83.94/12.26 inference(avatar_contradiction_clause,[],[f261181])). 83.94/12.26 tff(f261181,plain,( 83.94/12.26 $false | (~spl19_48 | ~spl19_245 | ~spl19_805)), 83.94/12.26 inference(subsumption_resolution,[],[f261179,f536])). 83.94/12.26 tff(f261179,plain,( 83.94/12.26 ~member(sK1,sF18) | (~spl19_245 | ~spl19_805)), 83.94/12.26 inference(resolution,[],[f260459,f54912])). 83.94/12.26 tff(f260459,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,complement(sF11)) | ~member(X0,sF18)) ) | ~spl19_805), 83.94/12.26 inference(resolution,[],[f260232,f46])). 83.94/12.26 tff(f260232,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF18,complement(sF11)))) ) | ~spl19_805), 83.94/12.26 inference(subsumption_resolution,[],[f260182,f162])). 83.94/12.26 tff(f260182,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,intersection(sF18,complement(sF11)))) ) | ~spl19_805), 83.94/12.26 inference(superposition,[],[f54,f224501])). 83.94/12.26 tff(f224501,plain,( 83.94/12.26 empty_set = union(intersection(sF18,complement(sF11)),empty_set) | ~spl19_805), 83.94/12.26 inference(avatar_component_clause,[],[f224500])). 83.94/12.26 tff(f224500,plain,( 83.94/12.26 spl19_805 <=> empty_set = union(intersection(sF18,complement(sF11)),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_805])])). 83.94/12.26 tff(f261037,plain,( 83.94/12.26 spl19_862 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_245 | ~spl19_863), 83.94/12.26 inference(avatar_split_clause,[],[f260981,f260730,f54911,f1281,f535,f264,f118,f98,f259381])). 83.94/12.26 tff(f260730,plain,( 83.94/12.26 spl19_863 <=> empty_set = intersection(sF18,complement(sF11))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_863])])). 83.94/12.26 tff(f260981,plain,( 83.94/12.26 empty_set = union(difference(sF8,empty_set),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_245 | ~spl19_863)), 83.94/12.26 inference(subsumption_resolution,[],[f260980,f54912])). 83.94/12.26 tff(f260980,plain,( 83.94/12.26 ~member(sK1,complement(sF11)) | empty_set = union(difference(sF8,empty_set),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_863)), 83.94/12.26 inference(subsumption_resolution,[],[f260949,f536])). 83.94/12.26 tff(f260949,plain,( 83.94/12.26 ~member(sK1,sF18) | ~member(sK1,complement(sF11)) | empty_set = union(difference(sF8,empty_set),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_863)), 83.94/12.26 inference(superposition,[],[f67826,f260731])). 83.94/12.26 tff(f260731,plain,( 83.94/12.26 empty_set = intersection(sF18,complement(sF11)) | ~spl19_863), 83.94/12.26 inference(avatar_component_clause,[],[f260730])). 83.94/12.26 tff(f67826,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (empty_set = union(difference(sF8,intersection(X0,X1)),empty_set) | ~member(sK1,X0) | ~member(sK1,X1)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f67807])). 83.94/12.26 tff(f67807,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (empty_set = union(difference(sF8,intersection(X0,X1)),empty_set) | empty_set = union(difference(sF8,intersection(X0,X1)),empty_set) | ~member(sK1,X0) | ~member(sK1,X1)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(superposition,[],[f54288,f54312])). 83.94/12.26 tff(f54288,plain,( 83.94/12.26 ( ! [X2 : set,X0 : set,X1 : set] : (~member(sK0(union(difference(X0,intersection(X1,X2)),empty_set)),X2) | ~member(sK0(union(difference(X0,intersection(X1,X2)),empty_set)),X1) | empty_set = union(difference(X0,intersection(X1,X2)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53901,f46])). 83.94/12.26 tff(f260732,plain,( 83.94/12.26 spl19_863 | ~spl19_805), 83.94/12.26 inference(avatar_split_clause,[],[f260460,f224500,f260730])). 83.94/12.26 tff(f260460,plain,( 83.94/12.26 empty_set = intersection(sF18,complement(sF11)) | ~spl19_805), 83.94/12.26 inference(resolution,[],[f260232,f59])). 83.94/12.26 tff(f259849,plain,( 83.94/12.26 ~spl19_48 | ~spl19_245 | ~spl19_796), 83.94/12.26 inference(avatar_contradiction_clause,[],[f259848])). 83.94/12.26 tff(f259848,plain,( 83.94/12.26 $false | (~spl19_48 | ~spl19_245 | ~spl19_796)), 83.94/12.26 inference(subsumption_resolution,[],[f259846,f536])). 83.94/12.26 tff(f259846,plain,( 83.94/12.26 ~member(sK1,sF18) | (~spl19_245 | ~spl19_796)), 83.94/12.26 inference(resolution,[],[f258697,f54912])). 83.94/12.26 tff(f258697,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,complement(sF11)) | ~member(X0,sF18)) ) | ~spl19_796), 83.94/12.26 inference(resolution,[],[f258635,f46])). 83.94/12.26 tff(f258635,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,intersection(complement(sF11),sF18))) ) | ~spl19_796), 83.94/12.26 inference(subsumption_resolution,[],[f258590,f162])). 83.94/12.26 tff(f258590,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,intersection(complement(sF11),sF18)) | member(X0,empty_set)) ) | ~spl19_796), 83.94/12.26 inference(superposition,[],[f54,f223898])). 83.94/12.26 tff(f223898,plain,( 83.94/12.26 empty_set = union(intersection(complement(sF11),sF18),empty_set) | ~spl19_796), 83.94/12.26 inference(avatar_component_clause,[],[f223897])). 83.94/12.26 tff(f223897,plain,( 83.94/12.26 spl19_796 <=> empty_set = union(intersection(complement(sF11),sF18),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_796])])). 83.94/12.26 tff(f259383,plain,( 83.94/12.26 spl19_862 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_245 | ~spl19_859), 83.94/12.26 inference(avatar_split_clause,[],[f259332,f258764,f54911,f1281,f535,f264,f118,f98,f259381])). 83.94/12.26 tff(f258764,plain,( 83.94/12.26 spl19_859 <=> empty_set = intersection(complement(sF11),sF18)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_859])])). 83.94/12.26 tff(f259332,plain,( 83.94/12.26 empty_set = union(difference(sF8,empty_set),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_245 | ~spl19_859)), 83.94/12.26 inference(subsumption_resolution,[],[f259331,f536])). 83.94/12.26 tff(f259331,plain,( 83.94/12.26 empty_set = union(difference(sF8,empty_set),empty_set) | ~member(sK1,sF18) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_245 | ~spl19_859)), 83.94/12.26 inference(subsumption_resolution,[],[f259286,f54912])). 83.94/12.26 tff(f259286,plain,( 83.94/12.26 ~member(sK1,complement(sF11)) | empty_set = union(difference(sF8,empty_set),empty_set) | ~member(sK1,sF18) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_859)), 83.94/12.26 inference(superposition,[],[f67826,f258765])). 83.94/12.26 tff(f258765,plain,( 83.94/12.26 empty_set = intersection(complement(sF11),sF18) | ~spl19_859), 83.94/12.26 inference(avatar_component_clause,[],[f258764])). 83.94/12.26 tff(f258884,plain,( 83.94/12.26 spl19_861 | ~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314 | ~spl19_741), 83.94/12.26 inference(avatar_split_clause,[],[f258583,f204108,f58993,f51939,f1443,f1429,f1281,f264,f181,f118,f98,f258882])). 83.94/12.26 tff(f58993,plain,( 83.94/12.26 spl19_314 <=> empty_set = union(intersection(sF9,complement(sF12)),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_314])])). 83.94/12.26 tff(f258583,plain,( 83.94/12.26 sK1 = sK0(union(difference(sF12,sF11),empty_set)) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314 | ~spl19_741)), 83.94/12.26 inference(resolution,[],[f204109,f125979])). 83.94/12.26 tff(f125979,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sF9) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314)), 83.94/12.26 inference(subsumption_resolution,[],[f125964,f76881])). 83.94/12.26 tff(f76881,plain,( 83.94/12.26 ( ! [X0 : element] : (singleton(X0) != empty_set) ) | (~spl19_3 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(evaluation,[],[f76880])). 83.94/12.26 tff(f76880,plain,( 83.94/12.26 ( ! [X0 : element] : (singleton(X0) != empty_set | 0 = 1) ) | (~spl19_3 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(forward_demodulation,[],[f76879,f182])). 83.94/12.26 tff(f76879,plain,( 83.94/12.26 ( ! [X0 : element] : (1 = cardinality(empty_set) | singleton(X0) != empty_set) ) | (~spl19_3 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(forward_demodulation,[],[f76878,f6112])). 83.94/12.26 tff(f76878,plain,( 83.94/12.26 ( ! [X0 : element] : (singleton(X0) != empty_set | cardinality(empty_set) = cardinality(union(singleton(X0),empty_set))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(forward_demodulation,[],[f53419,f265])). 83.94/12.26 tff(f53419,plain,( 83.94/12.26 ( ! [X0 : element] : (singleton(X0) != empty_set | cardinality(sK3) = cardinality(union(singleton(X0),sK3))) ) | (~spl19_3 | ~spl19_61)), 83.94/12.26 inference(superposition,[],[f42,f53371])). 83.94/12.26 tff(f53371,plain,( 83.94/12.26 ( ! [X0 : set] : (empty_set = intersection(X0,sK3)) ) | (~spl19_3 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53340,f234])). 83.94/12.26 tff(f125964,plain,( 83.94/12.26 ( ! [X0 : element] : (sK1 = X0 | ~member(X0,sF9) | singleton(X0) = empty_set) ) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314)), 83.94/12.26 inference(superposition,[],[f125660,f221])). 83.94/12.26 tff(f125660,plain,( 83.94/12.26 ( ! [X0 : element] : (sK1 = sK0(singleton(X0)) | ~member(X0,sF9)) ) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314)), 83.94/12.26 inference(resolution,[],[f125613,f204])). 83.94/12.26 tff(f125613,plain,( 83.94/12.26 ( ! [X0 : element] : (member(sK0(singleton(X0)),sF8) | ~member(X0,sF9)) ) | (~spl19_3 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314)), 83.94/12.26 inference(resolution,[],[f125583,f2677])). 83.94/12.26 tff(f125583,plain,( 83.94/12.26 ( ! [X0 : element] : (member(sK0(singleton(X0)),sF9) | ~member(X0,sF9)) ) | (~spl19_3 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_141 | ~spl19_314)), 83.94/12.26 inference(subsumption_resolution,[],[f125577,f102472])). 83.94/12.26 tff(f102472,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(sK0(singleton(X0)),sF11) | ~member(X0,sF9)) ) | (~spl19_3 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.94/12.26 inference(subsumption_resolution,[],[f102430,f76881])). 83.94/12.26 tff(f102430,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(sK0(singleton(X0)),sF11) | ~member(X0,sF9) | singleton(X0) = empty_set) ) | ~spl19_141), 83.94/12.26 inference(resolution,[],[f93172,f59])). 83.94/12.26 tff(f93172,plain,( 83.94/12.26 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | ~member(X1,sF11) | ~member(X0,sF9)) ) | ~spl19_141), 83.94/12.26 inference(subsumption_resolution,[],[f93127,f162])). 83.94/12.26 tff(f93127,plain,( 83.94/12.26 ( ! [X0 : element,X1 : element] : (~member(X0,sF9) | ~member(X1,sF11) | member(X1,empty_set) | ~member(X1,singleton(X0))) ) | ~spl19_141), 83.94/12.26 inference(superposition,[],[f46,f92319])). 83.94/12.26 tff(f125577,plain,( 83.94/12.26 ( ! [X0 : element] : (member(sK0(singleton(X0)),sF9) | member(sK0(singleton(X0)),sF11) | ~member(X0,sF9)) ) | (~spl19_3 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_314)), 83.94/12.26 inference(resolution,[],[f125576,f53666])). 83.94/12.26 tff(f125576,plain,( 83.94/12.26 ( ! [X0 : element] : (member(sK0(singleton(X0)),sF12) | ~member(X0,sF9)) ) | (~spl19_3 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_314)), 83.94/12.26 inference(subsumption_resolution,[],[f125535,f76881])). 83.94/12.26 tff(f125535,plain,( 83.94/12.26 ( ! [X0 : element] : (member(sK0(singleton(X0)),sF12) | ~member(X0,sF9) | singleton(X0) = empty_set) ) | ~spl19_314), 83.94/12.26 inference(resolution,[],[f125479,f59])). 83.94/12.26 tff(f125479,plain,( 83.94/12.26 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | ~member(X0,sF9) | member(X1,sF12)) ) | ~spl19_314), 83.94/12.26 inference(resolution,[],[f104611,f57])). 83.94/12.26 tff(f104611,plain,( 83.94/12.26 ( ! [X0 : element,X1 : element] : (~member(X1,complement(sF12)) | ~member(X0,sF9) | ~member(X1,singleton(X0))) ) | ~spl19_314), 83.94/12.26 inference(subsumption_resolution,[],[f104538,f162])). 83.94/12.26 tff(f104538,plain,( 83.94/12.26 ( ! [X0 : element,X1 : element] : (~member(X0,sF9) | ~member(X1,complement(sF12)) | ~member(X1,singleton(X0)) | member(X1,empty_set)) ) | ~spl19_314), 83.94/12.26 inference(superposition,[],[f46,f92329])). 83.94/12.26 tff(f92329,plain,( 83.94/12.26 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),complement(sF12)) | ~member(X0,sF9)) ) | ~spl19_314), 83.94/12.26 inference(duplicate_literal_removal,[],[f92280])). 83.94/12.26 tff(f92280,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sF9) | empty_set = intersection(singleton(X0),complement(sF12)) | empty_set = intersection(singleton(X0),complement(sF12))) ) | ~spl19_314), 83.94/12.26 inference(superposition,[],[f59756,f4842])). 83.94/12.26 tff(f59756,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(intersection(X0,complement(sF12))),sF9) | empty_set = intersection(X0,complement(sF12))) ) | ~spl19_314), 83.94/12.26 inference(resolution,[],[f59558,f234])). 83.94/12.26 tff(f59558,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,complement(sF12)) | ~member(X0,sF9)) ) | ~spl19_314), 83.94/12.26 inference(resolution,[],[f59557,f46])). 83.94/12.26 tff(f59557,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF9,complement(sF12)))) ) | ~spl19_314), 83.94/12.26 inference(subsumption_resolution,[],[f59551,f162])). 83.94/12.26 tff(f59551,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,intersection(sF9,complement(sF12)))) ) | ~spl19_314), 83.94/12.26 inference(superposition,[],[f54,f58994])). 83.94/12.26 tff(f58994,plain,( 83.94/12.26 empty_set = union(intersection(sF9,complement(sF12)),empty_set) | ~spl19_314), 83.94/12.26 inference(avatar_component_clause,[],[f58993])). 83.94/12.26 tff(f258879,plain,( 83.94/12.26 spl19_860 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_741), 83.94/12.26 inference(avatar_split_clause,[],[f258582,f204108,f1443,f1281,f264,f150,f98,f258877])). 83.94/12.26 tff(f258582,plain,( 83.94/12.26 member(sK0(union(difference(sF12,sF11),empty_set)),sF14) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_741)), 83.94/12.26 inference(resolution,[],[f204109,f65573])). 83.94/12.26 tff(f65573,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF14)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(superposition,[],[f65201,f151])). 83.94/12.26 tff(f65201,plain,( 83.94/12.26 ( ! [X0 : element,X1 : set] : (member(X0,union(sF12,X1)) | ~member(X0,sF9)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f65196,f61])). 83.94/12.26 tff(f65196,plain,( 83.94/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,difference(sF9,union(sF12,X0)))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(subsumption_resolution,[],[f65187,f162])). 83.94/12.26 tff(f65187,plain,( 83.94/12.26 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,difference(sF9,union(sF12,X0)))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(superposition,[],[f54,f60942])). 83.94/12.26 tff(f60942,plain,( 83.94/12.26 ( ! [X0 : set] : (empty_set = union(difference(sF9,union(sF12,X0)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(duplicate_literal_removal,[],[f60890])). 83.94/12.26 tff(f60890,plain,( 83.94/12.26 ( ! [X0 : set] : (empty_set = union(difference(sF9,union(sF12,X0)),empty_set) | empty_set = union(difference(sF9,union(sF12,X0)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f54289,f54313])). 83.94/12.26 tff(f54313,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF9,X0),empty_set)),sF12) | empty_set = union(difference(sF9,X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f53902,f53667])). 83.94/12.26 tff(f54289,plain,( 83.94/12.26 ( ! [X2 : set,X0 : set,X1 : set] : (~member(sK0(union(difference(X0,union(X1,X2)),empty_set)),X1) | empty_set = union(difference(X0,union(X1,X2)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53901,f54])). 83.94/12.26 tff(f258766,plain,( 83.94/12.26 spl19_859 | ~spl19_796), 83.94/12.26 inference(avatar_split_clause,[],[f258698,f223897,f258764])). 83.94/12.26 tff(f258698,plain,( 83.94/12.26 empty_set = intersection(complement(sF11),sF18) | ~spl19_796), 83.94/12.26 inference(resolution,[],[f258635,f59])). 83.94/12.26 tff(f258760,plain,( 83.94/12.26 spl19_858 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_796), 83.94/12.26 inference(avatar_split_clause,[],[f258613,f223897,f1281,f264,f98,f258758])). 83.94/12.26 tff(f258758,plain,( 83.94/12.26 spl19_858 <=> empty_set = difference(intersection(complement(sF11),sF18),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_858])])). 83.94/12.26 tff(f258613,plain,( 83.94/12.26 empty_set = difference(intersection(complement(sF11),sF18),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_796)), 83.94/12.26 inference(superposition,[],[f63946,f223898])). 83.94/12.26 tff(f63946,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (empty_set = difference(X0,union(X0,X1))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f63944,f59])). 83.94/12.26 tff(f63944,plain,( 83.94/12.26 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,difference(X0,union(X0,X1)))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(subsumption_resolution,[],[f63932,f162])). 83.94/12.26 tff(f63932,plain,( 83.94/12.26 ( ! [X2 : element,X0 : set,X1 : set] : (member(X2,empty_set) | ~member(X2,difference(X0,union(X0,X1)))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(superposition,[],[f54,f60935])). 83.94/12.26 tff(f60935,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (empty_set = union(difference(X0,union(X0,X1)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f60885])). 83.94/12.26 tff(f60885,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (empty_set = union(difference(X0,union(X0,X1)),empty_set) | empty_set = union(difference(X0,union(X0,X1)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f54289,f53902])). 83.94/12.26 tff(f258298,plain,( 83.94/12.26 spl19_857 | ~spl19_767), 83.94/12.26 inference(avatar_split_clause,[],[f257690,f217143,f258296])). 83.94/12.26 tff(f258296,plain,( 83.94/12.26 spl19_857 <=> empty_set = difference(complement(sK5),complement(sF9))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_857])])). 83.94/12.26 tff(f257690,plain,( 83.94/12.26 empty_set = difference(complement(sK5),complement(sF9)) | ~spl19_767), 83.94/12.26 inference(resolution,[],[f256747,f59])). 83.94/12.26 tff(f257810,plain,( 83.94/12.26 ~spl19_3 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_66 | ~spl19_854), 83.94/12.26 inference(avatar_contradiction_clause,[],[f257808])). 83.94/12.26 tff(f257808,plain,( 83.94/12.26 $false | (~spl19_3 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_66 | ~spl19_854)), 83.94/12.26 inference(resolution,[],[f257677,f489])). 83.94/12.26 tff(f257677,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sF9)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_854)), 83.94/12.26 inference(subsumption_resolution,[],[f257607,f162])). 83.94/12.26 tff(f257607,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_854)), 83.94/12.26 inference(superposition,[],[f65201,f257594])). 83.94/12.26 tff(f257594,plain,( 83.94/12.26 empty_set = union(sF12,sF8) | ~spl19_854), 83.94/12.26 inference(avatar_component_clause,[],[f257593])). 83.94/12.26 tff(f257593,plain,( 83.94/12.26 spl19_854 <=> empty_set = union(sF12,sF8)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_854])])). 83.94/12.26 tff(f257809,plain,( 83.94/12.26 ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_807 | ~spl19_854), 83.94/12.26 inference(avatar_contradiction_clause,[],[f257749])). 83.94/12.26 tff(f257749,plain,( 83.94/12.26 $false | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_807 | ~spl19_854)), 83.94/12.26 inference(resolution,[],[f257677,f224509])). 83.94/12.26 tff(f224509,plain,( 83.94/12.26 member(sK0(union(intersection(sF12,complement(sF11)),empty_set)),sF9) | ~spl19_807), 83.94/12.26 inference(avatar_component_clause,[],[f224508])). 83.94/12.26 tff(f224508,plain,( 83.94/12.26 spl19_807 <=> member(sK0(union(intersection(sF12,complement(sF11)),empty_set)),sF9)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_807])])). 83.94/12.26 tff(f257601,plain,( 83.94/12.26 spl19_854 | spl19_855 | spl19_856 | ~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314), 83.94/12.26 inference(avatar_split_clause,[],[f257178,f58993,f51939,f1443,f1429,f1281,f264,f181,f118,f98,f257599,f257596,f257593])). 83.94/12.26 tff(f257596,plain,( 83.94/12.26 spl19_855 <=> sK1 = sK0(union(sF12,sF8))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_855])])). 83.94/12.26 tff(f257599,plain,( 83.94/12.26 spl19_856 <=> member(sK0(union(sF12,sF8)),sF11)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_856])])). 83.94/12.26 tff(f257178,plain,( 83.94/12.26 sK1 = sK0(union(sF12,sF8)) | empty_set = union(sF12,sF8) | member(sK0(union(sF12,sF8)),sF11) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314)), 83.94/12.26 inference(subsumption_resolution,[],[f257157,f125979])). 83.94/12.26 tff(f257157,plain,( 83.94/12.26 member(sK0(union(sF12,sF8)),sF11) | empty_set = union(sF12,sF8) | sK1 = sK0(union(sF12,sF8)) | member(sK0(union(sF12,sF8)),sF9) | (~spl19_8 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f11070,f53666])). 83.94/12.26 tff(f257490,plain,( 83.94/12.26 spl19_653 | spl19_853 | ~spl19_3 | ~spl19_8 | ~spl19_13 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314), 83.94/12.26 inference(avatar_split_clause,[],[f257172,f58993,f51939,f1443,f1429,f1281,f264,f181,f138,f118,f98,f257488,f179662])). 83.94/12.26 tff(f179662,plain,( 83.94/12.26 spl19_653 <=> empty_set = union(sF8,sF8)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_653])])). 83.94/12.26 tff(f257488,plain,( 83.94/12.26 spl19_853 <=> sK1 = sK0(union(sF8,sF8))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_853])])). 83.94/12.26 tff(f257172,plain,( 83.94/12.26 sK1 = sK0(union(sF8,sF8)) | empty_set = union(sF8,sF8) | (~spl19_3 | ~spl19_8 | ~spl19_13 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314)), 83.94/12.26 inference(subsumption_resolution,[],[f257139,f125979])). 83.94/12.26 tff(f257139,plain,( 83.94/12.26 empty_set = union(sF8,sF8) | member(sK0(union(sF8,sF8)),sF9) | sK1 = sK0(union(sF8,sF8)) | (~spl19_8 | ~spl19_13)), 83.94/12.26 inference(resolution,[],[f11070,f235])). 83.94/12.26 tff(f256688,plain,( 83.94/12.26 spl19_852 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.94/12.26 inference(avatar_split_clause,[],[f250082,f1443,f1281,f264,f98,f256686])). 83.94/12.26 tff(f256686,plain,( 83.94/12.26 spl19_852 <=> empty_set = union(difference(complement(complement(sF11)),sF12),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_852])])). 83.94/12.26 tff(f250082,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sF11)),sF12),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(duplicate_literal_removal,[],[f249849])). 83.94/12.26 tff(f249849,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sF11)),sF12),empty_set) | empty_set = union(difference(complement(complement(sF11)),sF12),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f59248,f60983])). 83.94/12.26 tff(f60983,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(difference(X0,sF12),empty_set)),sF11) | empty_set = union(difference(X0,sF12),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(superposition,[],[f54290,f1444])). 83.94/12.26 tff(f54290,plain,( 83.94/12.26 ( ! [X2 : set,X0 : set,X1 : set] : (~member(sK0(union(difference(X0,union(X1,X2)),empty_set)),X2) | empty_set = union(difference(X0,union(X1,X2)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53901,f53])). 83.94/12.26 tff(f59248,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (member(sK0(union(difference(complement(complement(X0)),X1),empty_set)),X0) | empty_set = union(difference(complement(complement(X0)),X1),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f54309,f57])). 83.94/12.26 tff(f54309,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (~member(sK0(union(difference(complement(X0),X1),empty_set)),X0) | empty_set = union(difference(complement(X0),X1),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53902,f58])). 83.94/12.26 tff(f256684,plain,( 83.94/12.26 spl19_851 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.94/12.26 inference(avatar_split_clause,[],[f250081,f1281,f264,f150,f98,f256682])). 83.94/12.26 tff(f256682,plain,( 83.94/12.26 spl19_851 <=> empty_set = union(difference(complement(complement(sF13)),sF14),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_851])])). 83.94/12.26 tff(f250081,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sF13)),sF14),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f249852])). 83.94/12.26 tff(f249852,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sF13)),sF14),empty_set) | empty_set = union(difference(complement(complement(sF13)),sF14),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59248,f60984])). 83.94/12.26 tff(f60984,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(difference(X0,sF14),empty_set)),sF13) | empty_set = union(difference(X0,sF14),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(superposition,[],[f54290,f151])). 83.94/12.26 tff(f256680,plain,( 83.94/12.26 spl19_850 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.94/12.26 inference(avatar_split_clause,[],[f250079,f1281,f264,f158,f98,f256678])). 83.94/12.26 tff(f256678,plain,( 83.94/12.26 spl19_850 <=> empty_set = union(difference(complement(complement(sK5)),sF18),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_850])])). 83.94/12.26 tff(f250079,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sK5)),sF18),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f249844])). 83.94/12.26 tff(f249844,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sK5)),sF18),empty_set) | empty_set = union(difference(complement(complement(sK5)),sF18),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59248,f60921])). 83.94/12.26 tff(f60921,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(difference(X0,sF18),empty_set)),sK5) | empty_set = union(difference(X0,sF18),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(superposition,[],[f54289,f159])). 83.94/12.26 tff(f256676,plain,( 83.94/12.26 spl19_849 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64), 83.94/12.26 inference(avatar_split_clause,[],[f250077,f1429,f1281,f264,f98,f256674])). 83.94/12.26 tff(f256674,plain,( 83.94/12.26 spl19_849 <=> empty_set = union(difference(complement(complement(sF8)),sF9),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_849])])). 83.94/12.26 tff(f250077,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sF8)),sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.94/12.26 inference(duplicate_literal_removal,[],[f249845])). 83.94/12.26 tff(f249845,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sF8)),sF9),empty_set) | empty_set = union(difference(complement(complement(sF8)),sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.94/12.26 inference(resolution,[],[f59248,f60963])). 83.94/12.26 tff(f60963,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(difference(X0,sF9),empty_set)),sF8) | empty_set = union(difference(X0,sF9),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.94/12.26 inference(superposition,[],[f54290,f1430])). 83.94/12.26 tff(f256672,plain,( 83.94/12.26 spl19_848 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.94/12.26 inference(avatar_split_clause,[],[f250075,f1281,f264,f150,f98,f256670])). 83.94/12.26 tff(f256670,plain,( 83.94/12.26 spl19_848 <=> empty_set = union(difference(complement(complement(sF12)),sF14),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_848])])). 83.94/12.26 tff(f250075,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sF12)),sF14),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f249850])). 83.94/12.26 tff(f249850,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sF12)),sF14),empty_set) | empty_set = union(difference(complement(complement(sF12)),sF14),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59248,f60923])). 83.94/12.26 tff(f60923,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(difference(X0,sF14),empty_set)),sF12) | empty_set = union(difference(X0,sF14),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(superposition,[],[f54289,f151])). 83.94/12.26 tff(f256613,plain,( 83.94/12.26 spl19_847 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.94/12.26 inference(avatar_split_clause,[],[f250071,f1281,f264,f158,f98,f256611])). 83.94/12.26 tff(f256611,plain,( 83.94/12.26 spl19_847 <=> empty_set = union(difference(complement(complement(sF11)),sF18),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_847])])). 83.94/12.26 tff(f250071,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sF11)),sF18),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f249848])). 83.94/12.26 tff(f249848,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sF11)),sF18),empty_set) | empty_set = union(difference(complement(complement(sF11)),sF18),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59248,f60982])). 83.94/12.26 tff(f60982,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(difference(X0,sF18),empty_set)),sF11) | empty_set = union(difference(X0,sF18),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(superposition,[],[f54290,f159])). 83.94/12.26 tff(f255996,plain,( 83.94/12.26 spl19_846 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.94/12.26 inference(avatar_split_clause,[],[f250064,f1443,f1281,f264,f98,f255994])). 83.94/12.26 tff(f255994,plain,( 83.94/12.26 spl19_846 <=> empty_set = union(difference(complement(complement(sF9)),sF12),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_846])])). 83.94/12.26 tff(f250064,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sF9)),sF12),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(duplicate_literal_removal,[],[f249846])). 83.94/12.26 tff(f249846,plain,( 83.94/12.26 empty_set = union(difference(complement(complement(sF9)),sF12),empty_set) | empty_set = union(difference(complement(complement(sF9)),sF12),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f59248,f60922])). 83.94/12.26 tff(f60922,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(difference(X0,sF12),empty_set)),sF9) | empty_set = union(difference(X0,sF12),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(superposition,[],[f54289,f1444])). 83.94/12.26 tff(f255992,plain,( 83.94/12.26 spl19_845 | ~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61), 83.94/12.26 inference(avatar_split_clause,[],[f249096,f1281,f264,f114,f98,f255990])). 83.94/12.26 tff(f255990,plain,( 83.94/12.26 spl19_845 <=> empty_set = union(difference(sF18,complement(complement(sK2))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_845])])). 83.94/12.26 tff(f249096,plain,( 83.94/12.26 empty_set = union(difference(sF18,complement(complement(sK2))),empty_set) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f248970])). 83.94/12.26 tff(f248970,plain,( 83.94/12.26 empty_set = union(difference(sF18,complement(complement(sK2))),empty_set) | empty_set = union(difference(sF18,complement(complement(sK2))),empty_set) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59119,f54330])). 83.94/12.26 tff(f54330,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF18,X0),empty_set)),sK2) | empty_set = union(difference(sF18,X0),empty_set)) ) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53902,f272])). 83.94/12.26 tff(f59119,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (~member(sK0(union(difference(X0,complement(complement(X1))),empty_set)),X1) | empty_set = union(difference(X0,complement(complement(X1))),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f54292,f58])). 83.94/12.26 tff(f54292,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (member(sK0(union(difference(X0,complement(X1)),empty_set)),X1) | empty_set = union(difference(X0,complement(X1)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53901,f57])). 83.94/12.26 tff(f255988,plain,( 83.94/12.26 spl19_844 | ~spl19_763), 83.94/12.26 inference(avatar_split_clause,[],[f255249,f214840,f255986])). 83.94/12.26 tff(f255986,plain,( 83.94/12.26 spl19_844 <=> empty_set = difference(complement(sF9),complement(sF8))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_844])])). 83.94/12.26 tff(f255249,plain,( 83.94/12.26 empty_set = difference(complement(sF9),complement(sF8)) | ~spl19_763), 83.94/12.26 inference(resolution,[],[f255234,f59])). 83.94/12.26 tff(f255310,plain,( 83.94/12.26 spl19_843 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.94/12.26 inference(avatar_split_clause,[],[f249087,f1281,f264,f150,f98,f255308])). 83.94/12.26 tff(f255308,plain,( 83.94/12.26 spl19_843 <=> empty_set = union(difference(sF12,complement(complement(sF14))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_843])])). 83.94/12.26 tff(f249087,plain,( 83.94/12.26 empty_set = union(difference(sF12,complement(complement(sF14))),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f248978])). 83.94/12.26 tff(f248978,plain,( 83.94/12.26 empty_set = union(difference(sF12,complement(complement(sF14))),empty_set) | empty_set = union(difference(sF12,complement(complement(sF14))),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59119,f54322])). 83.94/12.26 tff(f54322,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF12,X0),empty_set)),sF14) | empty_set = union(difference(sF12,X0),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53902,f244])). 83.94/12.26 tff(f255247,plain,( 83.94/12.26 spl19_842 | ~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.94/12.26 inference(avatar_split_clause,[],[f249086,f1443,f1281,f264,f138,f98,f255245])). 83.94/12.26 tff(f255245,plain,( 83.94/12.26 spl19_842 <=> empty_set = union(difference(sF8,complement(complement(sF12))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_842])])). 83.94/12.26 tff(f249086,plain,( 83.94/12.26 empty_set = union(difference(sF8,complement(complement(sF12))),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(duplicate_literal_removal,[],[f248976])). 83.94/12.26 tff(f248976,plain,( 83.94/12.26 empty_set = union(difference(sF8,complement(complement(sF12))),empty_set) | empty_set = union(difference(sF8,complement(complement(sF12))),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f59119,f56402])). 83.94/12.26 tff(f56402,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF8,X0),empty_set)),sF12) | empty_set = union(difference(sF8,X0),empty_set)) ) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f54311,f53667])). 83.94/12.26 tff(f54311,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF8,X0),empty_set)),sF9) | empty_set = union(difference(sF8,X0),empty_set)) ) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53902,f235])). 83.94/12.26 tff(f255243,plain,( 83.94/12.26 spl19_841 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95), 83.94/12.26 inference(avatar_split_clause,[],[f249085,f5373,f1443,f1281,f264,f158,f98,f255241])). 83.94/12.26 tff(f255241,plain,( 83.94/12.26 spl19_841 <=> empty_set = union(difference(sF12,complement(complement(sF18))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_841])])). 83.94/12.26 tff(f249085,plain,( 83.94/12.26 empty_set = union(difference(sF12,complement(complement(sF18))),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(duplicate_literal_removal,[],[f248981])). 83.94/12.26 tff(f248981,plain,( 83.94/12.26 empty_set = union(difference(sF12,complement(complement(sF18))),empty_set) | empty_set = union(difference(sF12,complement(complement(sF18))),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(resolution,[],[f59119,f64818])). 83.94/12.26 tff(f64818,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF12,X0),empty_set)),sF18) | empty_set = union(difference(sF12,X0),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.94/12.26 inference(subsumption_resolution,[],[f64809,f5437])). 83.94/12.26 tff(f64809,plain,( 83.94/12.26 ( ! [X0 : set] : (empty_set = union(difference(sF12,X0),empty_set) | member(sK0(union(difference(sF12,X0),empty_set)),sF9) | member(sK0(union(difference(sF12,X0),empty_set)),sF18)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f54947,f238])). 83.94/12.26 tff(f54947,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF12,X0),empty_set)),sF11) | member(sK0(union(difference(sF12,X0),empty_set)),sF9) | empty_set = union(difference(sF12,X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.94/12.26 inference(resolution,[],[f53666,f53902])). 83.94/12.26 tff(f255239,plain,( 83.94/12.26 spl19_840 | ~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.94/12.26 inference(avatar_split_clause,[],[f249084,f1281,f264,f158,f114,f98,f255237])). 83.94/12.26 tff(f255237,plain,( 83.94/12.26 spl19_840 <=> empty_set = union(difference(sF11,complement(complement(sK2))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_840])])). 83.94/12.26 tff(f249084,plain,( 83.94/12.26 empty_set = union(difference(sF11,complement(complement(sK2))),empty_set) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f248972])). 83.94/12.26 tff(f248972,plain,( 83.94/12.26 empty_set = union(difference(sF11,complement(complement(sK2))),empty_set) | empty_set = union(difference(sF11,complement(complement(sK2))),empty_set) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59119,f57009])). 83.94/12.26 tff(f57009,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF11,X0),empty_set)),sK2) | empty_set = union(difference(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f54319,f272])). 83.94/12.26 tff(f54319,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF11,X0),empty_set)),sF18) | empty_set = union(difference(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53902,f238])). 83.94/12.26 tff(f254990,plain,( 83.94/12.26 spl19_839 | ~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.94/12.26 inference(avatar_split_clause,[],[f249082,f1281,f264,f158,f114,f98,f254988])). 83.94/12.26 tff(f254988,plain,( 83.94/12.26 spl19_839 <=> empty_set = union(difference(sK5,complement(complement(sK2))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_839])])). 83.94/12.26 tff(f249082,plain,( 83.94/12.26 empty_set = union(difference(sK5,complement(complement(sK2))),empty_set) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f248971])). 83.94/12.26 tff(f248971,plain,( 83.94/12.26 empty_set = union(difference(sK5,complement(complement(sK2))),empty_set) | empty_set = union(difference(sK5,complement(complement(sK2))),empty_set) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59119,f56397])). 83.94/12.26 tff(f56397,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sK5,X0),empty_set)),sK2) | empty_set = union(difference(sK5,X0),empty_set)) ) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f54310,f272])). 83.94/12.26 tff(f54310,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sK5,X0),empty_set)),sF18) | empty_set = union(difference(sK5,X0),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53902,f243])). 83.94/12.26 tff(f254986,plain,( 83.94/12.26 spl19_838 | ~spl19_3 | ~spl19_5 | ~spl19_13 | ~spl19_26 | ~spl19_61), 83.94/12.26 inference(avatar_split_clause,[],[f249078,f1281,f264,f138,f106,f98,f254984])). 83.94/12.26 tff(f254984,plain,( 83.94/12.26 spl19_838 <=> empty_set = union(difference(sF8,complement(complement(sK5))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_838])])). 83.94/12.26 tff(f249078,plain,( 83.94/12.26 empty_set = union(difference(sF8,complement(complement(sK5))),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f248973])). 83.94/12.26 tff(f248973,plain,( 83.94/12.26 empty_set = union(difference(sF8,complement(complement(sK5))),empty_set) | empty_set = union(difference(sF8,complement(complement(sK5))),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59119,f56403])). 83.94/12.26 tff(f56403,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF8,X0),empty_set)),sK5) | empty_set = union(difference(sF8,X0),empty_set)) ) | (~spl19_3 | ~spl19_5 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f54311,f271])). 83.94/12.26 tff(f254939,plain,( 83.94/12.26 spl19_837 | ~spl19_3 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.94/12.26 inference(avatar_split_clause,[],[f249076,f1281,f264,f150,f146,f98,f254937])). 83.94/12.26 tff(f254937,plain,( 83.94/12.26 spl19_837 <=> empty_set = union(difference(sF11,complement(complement(sF14))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_837])])). 83.94/12.26 tff(f249076,plain,( 83.94/12.26 empty_set = union(difference(sF11,complement(complement(sF14))),empty_set) | (~spl19_3 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f248979])). 83.94/12.26 tff(f248979,plain,( 83.94/12.26 empty_set = union(difference(sF11,complement(complement(sF14))),empty_set) | empty_set = union(difference(sF11,complement(complement(sF14))),empty_set) | (~spl19_3 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59119,f57015])). 83.94/12.26 tff(f57015,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF11,X0),empty_set)),sF14) | empty_set = union(difference(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f54320,f244])). 83.94/12.26 tff(f54320,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF11,X0),empty_set)),sF12) | empty_set = union(difference(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53902,f237])). 83.94/12.26 tff(f254935,plain,( 83.94/12.26 spl19_836 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.94/12.26 inference(avatar_split_clause,[],[f249074,f1281,f264,f158,f98,f254933])). 83.94/12.26 tff(f254933,plain,( 83.94/12.26 spl19_836 <=> empty_set = union(difference(sK5,complement(complement(sF18))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_836])])). 83.94/12.26 tff(f249074,plain,( 83.94/12.26 empty_set = union(difference(sK5,complement(complement(sF18))),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(duplicate_literal_removal,[],[f248980])). 83.94/12.26 tff(f248980,plain,( 83.94/12.26 empty_set = union(difference(sK5,complement(complement(sF18))),empty_set) | empty_set = union(difference(sK5,complement(complement(sF18))),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f59119,f54310])). 83.94/12.26 tff(f254494,plain,( 83.94/12.26 spl19_835 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.94/12.26 inference(avatar_split_clause,[],[f247585,f52201,f1281,f264,f158,f98,f254492])). 83.94/12.26 tff(f254492,plain,( 83.94/12.26 spl19_835 <=> empty_set = union(intersection(complement(complement(sF13)),sK5),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_835])])). 83.94/12.26 tff(f247585,plain,( 83.94/12.26 empty_set = union(intersection(complement(complement(sF13)),sK5),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(duplicate_literal_removal,[],[f247362])). 83.94/12.26 tff(f247362,plain,( 83.94/12.26 empty_set = union(intersection(complement(complement(sF13)),sK5),empty_set) | empty_set = union(intersection(complement(complement(sF13)),sK5),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f59072,f54373])). 83.94/12.26 tff(f54373,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(intersection(X0,sK5),empty_set)),sF13) | empty_set = union(intersection(X0,sK5),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f54209,f52220])). 83.94/12.26 tff(f54209,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sK5),empty_set)),sF18) | empty_set = union(intersection(X0,sK5),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53898,f243])). 83.94/12.26 tff(f53898,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (member(sK0(union(intersection(X0,X1),empty_set)),X1) | empty_set = union(intersection(X0,X1),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53895,f48])). 83.94/12.26 tff(f59072,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (member(sK0(union(intersection(complement(complement(X0)),X1),empty_set)),X0) | empty_set = union(intersection(complement(complement(X0)),X1),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f54250,f57])). 83.94/12.26 tff(f54250,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (~member(sK0(union(intersection(complement(X0),X1),empty_set)),X0) | empty_set = union(intersection(complement(X0),X1),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53899,f58])). 83.94/12.26 tff(f53899,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (member(sK0(union(intersection(X0,X1),empty_set)),X0) | empty_set = union(intersection(X0,X1),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53895,f47])). 83.94/12.26 tff(f254490,plain,( 83.94/12.26 spl19_834 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.94/12.26 inference(avatar_split_clause,[],[f247584,f52201,f1281,f264,f98,f254488])). 83.94/12.26 tff(f254488,plain,( 83.94/12.26 spl19_834 <=> empty_set = union(intersection(complement(complement(sF13)),sF18),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_834])])). 83.94/12.26 tff(f247584,plain,( 83.94/12.26 empty_set = union(intersection(complement(complement(sF13)),sF18),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(duplicate_literal_removal,[],[f247361])). 83.94/12.26 tff(f247361,plain,( 83.94/12.26 empty_set = union(intersection(complement(complement(sF13)),sF18),empty_set) | empty_set = union(intersection(complement(complement(sF13)),sF18),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f59072,f54227])). 83.94/12.26 tff(f54227,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(intersection(X0,sF18),empty_set)),sF13) | empty_set = union(intersection(X0,sF18),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f53898,f52220])). 83.94/12.26 tff(f254486,plain,( 83.94/12.26 spl19_833 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.94/12.26 inference(avatar_split_clause,[],[f247582,f52201,f1281,f264,f158,f98,f254484])). 83.94/12.26 tff(f254484,plain,( 83.94/12.26 spl19_833 <=> empty_set = union(intersection(complement(complement(sF13)),sF11),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_833])])). 83.94/12.26 tff(f247582,plain,( 83.94/12.26 empty_set = union(intersection(complement(complement(sF13)),sF11),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(duplicate_literal_removal,[],[f247363])). 83.94/12.26 tff(f247363,plain,( 83.94/12.26 empty_set = union(intersection(complement(complement(sF13)),sF11),empty_set) | empty_set = union(intersection(complement(complement(sF13)),sF11),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f59072,f54888])). 83.94/12.26 tff(f54888,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(intersection(X0,sF11),empty_set)),sF13) | empty_set = union(intersection(X0,sF11),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f54218,f52220])). 83.94/12.26 tff(f54218,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF11),empty_set)),sF18) | empty_set = union(intersection(X0,sF11),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53898,f238])). 83.94/12.26 tff(f254482,plain,( 83.94/12.26 spl19_832 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141), 83.94/12.26 inference(avatar_split_clause,[],[f247577,f51939,f1281,f264,f98,f254480])). 83.94/12.26 tff(f254480,plain,( 83.94/12.26 spl19_832 <=> empty_set = union(intersection(complement(complement(sF9)),sF11),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_832])])). 83.94/12.26 tff(f247577,plain,( 83.94/12.26 empty_set = union(intersection(complement(complement(sF9)),sF11),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.94/12.26 inference(duplicate_literal_removal,[],[f247360])). 83.94/12.26 tff(f247360,plain,( 83.94/12.26 empty_set = union(intersection(complement(complement(sF9)),sF11),empty_set) | empty_set = union(intersection(complement(complement(sF9)),sF11),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.94/12.26 inference(resolution,[],[f59072,f54217])). 83.94/12.26 tff(f54217,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(intersection(X0,sF11),empty_set)),sF9) | empty_set = union(intersection(X0,sF11),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.94/12.26 inference(resolution,[],[f53898,f51950])). 83.94/12.26 tff(f254113,plain,( 83.94/12.26 spl19_831 | ~spl19_507 | ~spl19_759), 83.94/12.26 inference(avatar_split_clause,[],[f254044,f213549,f105179,f254111])). 83.94/12.26 tff(f213549,plain,( 83.94/12.26 spl19_759 <=> empty_set = union(difference(complement(sF18),complement(sK5)),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_759])])). 83.94/12.26 tff(f254044,plain,( 83.94/12.26 member(sK0(complement(sK2)),complement(sK5)) | (~spl19_507 | ~spl19_759)), 83.94/12.26 inference(resolution,[],[f253336,f105180])). 83.94/12.26 tff(f253336,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,complement(sF18)) | member(X0,complement(sK5))) ) | ~spl19_759), 83.94/12.26 inference(resolution,[],[f253335,f61])). 83.94/12.26 tff(f253335,plain,( 83.94/12.26 ( ! [X0 : element] : (~member(X0,difference(complement(sF18),complement(sK5)))) ) | ~spl19_759), 83.94/12.26 inference(subsumption_resolution,[],[f253282,f162])). 83.94/12.26 tff(f253282,plain,( 83.94/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(complement(sF18),complement(sK5)))) ) | ~spl19_759), 83.94/12.26 inference(superposition,[],[f54,f213550])). 83.94/12.26 tff(f213550,plain,( 83.94/12.26 empty_set = union(difference(complement(sF18),complement(sK5)),empty_set) | ~spl19_759), 83.94/12.26 inference(avatar_component_clause,[],[f213549])). 83.94/12.26 tff(f254109,plain,( 83.94/12.26 spl19_830 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.94/12.26 inference(avatar_split_clause,[],[f246730,f52201,f1281,f264,f98,f254107])). 83.94/12.26 tff(f254107,plain,( 83.94/12.26 spl19_830 <=> empty_set = union(intersection(sF18,complement(complement(sF13))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_830])])). 83.94/12.26 tff(f246730,plain,( 83.94/12.26 empty_set = union(intersection(sF18,complement(complement(sF13))),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(duplicate_literal_removal,[],[f246510])). 83.94/12.26 tff(f246510,plain,( 83.94/12.26 empty_set = union(intersection(sF18,complement(complement(sF13))),empty_set) | empty_set = union(intersection(sF18,complement(complement(sF13))),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f58916,f54269])). 83.94/12.26 tff(f54269,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(intersection(sF18,X0),empty_set)),sF13) | empty_set = union(intersection(sF18,X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f53899,f52220])). 83.94/12.26 tff(f58916,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (member(sK0(union(intersection(X0,complement(complement(X1))),empty_set)),X1) | empty_set = union(intersection(X0,complement(complement(X1))),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f54208,f57])). 83.94/12.26 tff(f54208,plain,( 83.94/12.26 ( ! [X0 : set,X1 : set] : (~member(sK0(union(intersection(X0,complement(X1)),empty_set)),X1) | empty_set = union(intersection(X0,complement(X1)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53898,f58])). 83.94/12.26 tff(f254105,plain,( 83.94/12.26 spl19_829 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141), 83.94/12.26 inference(avatar_split_clause,[],[f246729,f51939,f1281,f264,f98,f254103])). 83.94/12.26 tff(f254103,plain,( 83.94/12.26 spl19_829 <=> empty_set = union(intersection(sF11,complement(complement(sF9))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_829])])). 83.94/12.26 tff(f246729,plain,( 83.94/12.26 empty_set = union(intersection(sF11,complement(complement(sF9))),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.94/12.26 inference(duplicate_literal_removal,[],[f246507])). 83.94/12.26 tff(f246507,plain,( 83.94/12.26 empty_set = union(intersection(sF11,complement(complement(sF9))),empty_set) | empty_set = union(intersection(sF11,complement(complement(sF9))),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.94/12.26 inference(resolution,[],[f58916,f54259])). 83.94/12.26 tff(f54259,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(intersection(sF11,X0),empty_set)),sF9) | empty_set = union(intersection(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.94/12.26 inference(resolution,[],[f53899,f51950])). 83.94/12.26 tff(f253669,plain,( 83.94/12.26 spl19_828 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.94/12.26 inference(avatar_split_clause,[],[f246727,f52201,f1281,f264,f158,f98,f253667])). 83.94/12.26 tff(f253667,plain,( 83.94/12.26 spl19_828 <=> empty_set = union(intersection(sF11,complement(complement(sF13))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_828])])). 83.94/12.26 tff(f246727,plain,( 83.94/12.26 empty_set = union(intersection(sF11,complement(complement(sF13))),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(duplicate_literal_removal,[],[f246509])). 83.94/12.26 tff(f246509,plain,( 83.94/12.26 empty_set = union(intersection(sF11,complement(complement(sF13))),empty_set) | empty_set = union(intersection(sF11,complement(complement(sF13))),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f58916,f55858])). 83.94/12.26 tff(f55858,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(intersection(sF11,X0),empty_set)),sF13) | empty_set = union(intersection(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f54260,f52220])). 83.94/12.26 tff(f54260,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sF11,X0),empty_set)),sF18) | empty_set = union(intersection(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53899,f238])). 83.94/12.26 tff(f253665,plain,( 83.94/12.26 spl19_827 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.94/12.26 inference(avatar_split_clause,[],[f246726,f52201,f1281,f264,f158,f98,f253663])). 83.94/12.26 tff(f253663,plain,( 83.94/12.26 spl19_827 <=> empty_set = union(intersection(sK5,complement(complement(sF13))),empty_set)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_827])])). 83.94/12.26 tff(f246726,plain,( 83.94/12.26 empty_set = union(intersection(sK5,complement(complement(sF13))),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(duplicate_literal_removal,[],[f246508])). 83.94/12.26 tff(f246508,plain,( 83.94/12.26 empty_set = union(intersection(sK5,complement(complement(sF13))),empty_set) | empty_set = union(intersection(sK5,complement(complement(sF13))),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f58916,f55452])). 83.94/12.26 tff(f55452,plain,( 83.94/12.26 ( ! [X0 : set] : (~member(sK0(union(intersection(sK5,X0),empty_set)),sF13) | empty_set = union(intersection(sK5,X0),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.94/12.26 inference(resolution,[],[f54251,f52220])). 83.94/12.26 tff(f54251,plain,( 83.94/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sK5,X0),empty_set)),sF18) | empty_set = union(intersection(sK5,X0),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.94/12.26 inference(resolution,[],[f53899,f243])). 83.94/12.26 tff(f253400,plain,( 83.94/12.26 spl19_826 | ~spl19_759), 83.94/12.26 inference(avatar_split_clause,[],[f253337,f213549,f253398])). 83.94/12.26 tff(f253398,plain,( 83.94/12.26 spl19_826 <=> empty_set = difference(complement(sF18),complement(sK5))), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_826])])). 83.94/12.26 tff(f253337,plain,( 83.94/12.26 empty_set = difference(complement(sF18),complement(sK5)) | ~spl19_759), 83.94/12.26 inference(resolution,[],[f253335,f59])). 83.94/12.26 tff(f250599,plain,( 83.94/12.26 spl19_757 | ~spl19_7 | ~spl19_821), 83.94/12.26 inference(avatar_split_clause,[],[f250092,f247824,f114,f211123])). 83.94/12.26 tff(f211123,plain,( 83.94/12.26 spl19_757 <=> member(sK0(union(difference(sF14,sF13),empty_set)),sK2)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_757])])). 83.94/12.26 tff(f247824,plain,( 83.94/12.26 spl19_821 <=> member(sK0(union(difference(sF14,sF13),empty_set)),sF18)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_821])])). 83.94/12.26 tff(f250092,plain,( 83.94/12.26 member(sK0(union(difference(sF14,sF13),empty_set)),sK2) | (~spl19_7 | ~spl19_821)), 83.94/12.26 inference(resolution,[],[f247825,f272])). 83.94/12.26 tff(f247825,plain,( 83.94/12.26 member(sK0(union(difference(sF14,sF13),empty_set)),sF18) | ~spl19_821), 83.94/12.26 inference(avatar_component_clause,[],[f247824])). 83.94/12.26 tff(f250598,plain,( 83.94/12.26 ~spl19_825 | ~spl19_145 | ~spl19_821), 83.94/12.26 inference(avatar_split_clause,[],[f250090,f247824,f52201,f250596])). 83.94/12.26 tff(f250596,plain,( 83.94/12.26 spl19_825 <=> member(sK0(union(difference(sF14,sF13),empty_set)),sF13)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_825])])). 83.94/12.26 tff(f250090,plain,( 83.94/12.26 ~member(sK0(union(difference(sF14,sF13),empty_set)),sF13) | (~spl19_145 | ~spl19_821)), 83.94/12.26 inference(resolution,[],[f247825,f52220])). 83.94/12.26 tff(f250594,plain,( 83.94/12.26 spl19_754 | ~spl19_7 | ~spl19_820), 83.94/12.26 inference(avatar_split_clause,[],[f248962,f247757,f114,f211017])). 83.94/12.26 tff(f211017,plain,( 83.94/12.26 spl19_754 <=> member(sK0(union(union(sF12,sF11),empty_set)),sK2)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_754])])). 83.94/12.26 tff(f247757,plain,( 83.94/12.26 spl19_820 <=> member(sK0(union(union(sF12,sF11),empty_set)),sF18)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_820])])). 83.94/12.26 tff(f248962,plain,( 83.94/12.26 member(sK0(union(union(sF12,sF11),empty_set)),sK2) | (~spl19_7 | ~spl19_820)), 83.94/12.26 inference(resolution,[],[f247758,f272])). 83.94/12.26 tff(f247758,plain,( 83.94/12.26 member(sK0(union(union(sF12,sF11),empty_set)),sF18) | ~spl19_820), 83.94/12.26 inference(avatar_component_clause,[],[f247757])). 83.94/12.26 tff(f250593,plain,( 83.94/12.26 ~spl19_824 | ~spl19_145 | ~spl19_820), 83.94/12.26 inference(avatar_split_clause,[],[f248960,f247757,f52201,f250591])). 83.94/12.26 tff(f250591,plain,( 83.94/12.26 spl19_824 <=> member(sK0(union(union(sF12,sF11),empty_set)),sF13)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_824])])). 83.94/12.26 tff(f248960,plain,( 83.94/12.26 ~member(sK0(union(union(sF12,sF11),empty_set)),sF13) | (~spl19_145 | ~spl19_820)), 83.94/12.26 inference(resolution,[],[f247758,f52220])). 83.94/12.26 tff(f250097,plain,( 83.94/12.26 spl19_753 | ~spl19_7 | ~spl19_819), 83.94/12.26 inference(avatar_split_clause,[],[f248913,f247753,f114,f211013])). 83.94/12.26 tff(f211013,plain,( 83.94/12.26 spl19_753 <=> member(sK0(union(union(sF12,sF9),empty_set)),sK2)), 83.94/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_753])])). 83.95/12.26 tff(f247753,plain,( 83.95/12.26 spl19_819 <=> member(sK0(union(union(sF12,sF9),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_819])])). 83.95/12.26 tff(f248913,plain,( 83.95/12.26 member(sK0(union(union(sF12,sF9),empty_set)),sK2) | (~spl19_7 | ~spl19_819)), 83.95/12.26 inference(resolution,[],[f247754,f272])). 83.95/12.26 tff(f247754,plain,( 83.95/12.26 member(sK0(union(union(sF12,sF9),empty_set)),sF18) | ~spl19_819), 83.95/12.26 inference(avatar_component_clause,[],[f247753])). 83.95/12.26 tff(f250096,plain,( 83.95/12.26 ~spl19_823 | ~spl19_145 | ~spl19_819), 83.95/12.26 inference(avatar_split_clause,[],[f248911,f247753,f52201,f250094])). 83.95/12.26 tff(f250094,plain,( 83.95/12.26 spl19_823 <=> member(sK0(union(union(sF12,sF9),empty_set)),sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_823])])). 83.95/12.26 tff(f248911,plain,( 83.95/12.26 ~member(sK0(union(union(sF12,sF9),empty_set)),sF13) | (~spl19_145 | ~spl19_819)), 83.95/12.26 inference(resolution,[],[f247754,f52220])). 83.95/12.26 tff(f248418,plain,( 83.95/12.26 spl19_822 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_140), 83.95/12.26 inference(avatar_split_clause,[],[f247914,f42703,f1281,f264,f98,f248416])). 83.95/12.26 tff(f248416,plain,( 83.95/12.26 spl19_822 <=> empty_set = complement(union(empty_set,complement(empty_set)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_822])])). 83.95/12.26 tff(f247914,plain,( 83.95/12.26 empty_set = complement(union(empty_set,complement(empty_set))) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_140)), 83.95/12.26 inference(superposition,[],[f247761,f42704])). 83.95/12.26 tff(f247761,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = complement(union(complement(X0),X0))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f247656,f59])). 83.95/12.26 tff(f247656,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,complement(union(complement(X0),X0)))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f247604,f162])). 83.95/12.26 tff(f247604,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,complement(union(complement(X0),X0)))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54,f243783])). 83.95/12.26 tff(f243783,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(complement(union(complement(X0),X0)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f243587])). 83.95/12.26 tff(f243587,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(complement(union(complement(X0),X0)),empty_set) | empty_set = union(complement(union(complement(X0),X0)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f57818,f54182])). 83.95/12.26 tff(f54182,plain,( 83.95/12.26 ( ! [X0 : set,X1 : set] : (~member(sK0(union(complement(union(X0,X1)),empty_set)),X1) | empty_set = union(complement(union(X0,X1)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53903,f53])). 83.95/12.26 tff(f53903,plain,( 83.95/12.26 ( ! [X0 : set] : (~member(sK0(union(complement(X0),empty_set)),X0) | empty_set = union(complement(X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53895,f58])). 83.95/12.26 tff(f57818,plain,( 83.95/12.26 ( ! [X0 : set,X1 : set] : (member(sK0(union(complement(union(complement(X0),X1)),empty_set)),X0) | empty_set = union(complement(union(complement(X0),X1)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54181,f57])). 83.95/12.26 tff(f54181,plain,( 83.95/12.26 ( ! [X0 : set,X1 : set] : (~member(sK0(union(complement(union(X0,X1)),empty_set)),X0) | empty_set = union(complement(union(X0,X1)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53903,f54])). 83.95/12.26 tff(f248413,plain,( 83.95/12.26 spl19_699 | ~spl19_702 | ~spl19_743), 83.95/12.26 inference(avatar_split_clause,[],[f243470,f204855,f199693,f199680])). 83.95/12.26 tff(f199680,plain,( 83.95/12.26 spl19_699 <=> member(sK0(union(union(sF9,sF8),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_699])])). 83.95/12.26 tff(f199693,plain,( 83.95/12.26 spl19_702 <=> member(sK0(union(union(sF9,sF8),empty_set)),sF12)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_702])])). 83.95/12.26 tff(f204855,plain,( 83.95/12.26 spl19_743 <=> empty_set = union(difference(sF12,sF18),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_743])])). 83.95/12.26 tff(f243470,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF18) | (~spl19_702 | ~spl19_743)), 83.95/12.26 inference(resolution,[],[f199694,f204926])). 83.95/12.26 tff(f204926,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF12) | member(X0,sF18)) ) | ~spl19_743), 83.95/12.26 inference(resolution,[],[f204918,f61])). 83.95/12.26 tff(f204918,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,difference(sF12,sF18))) ) | ~spl19_743), 83.95/12.26 inference(subsumption_resolution,[],[f204886,f162])). 83.95/12.26 tff(f204886,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(sF12,sF18))) ) | ~spl19_743), 83.95/12.26 inference(superposition,[],[f54,f204856])). 83.95/12.26 tff(f204856,plain,( 83.95/12.26 empty_set = union(difference(sF12,sF18),empty_set) | ~spl19_743), 83.95/12.26 inference(avatar_component_clause,[],[f204855])). 83.95/12.26 tff(f199694,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF12) | ~spl19_702), 83.95/12.26 inference(avatar_component_clause,[],[f199693])). 83.95/12.26 tff(f247826,plain,( 83.95/12.26 spl19_821 | ~spl19_682 | ~spl19_743), 83.95/12.26 inference(avatar_split_clause,[],[f205333,f204855,f197766,f247824])). 83.95/12.26 tff(f197766,plain,( 83.95/12.26 spl19_682 <=> member(sK0(union(difference(sF14,sF13),empty_set)),sF12)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_682])])). 83.95/12.26 tff(f205333,plain,( 83.95/12.26 member(sK0(union(difference(sF14,sF13),empty_set)),sF18) | (~spl19_682 | ~spl19_743)), 83.95/12.26 inference(resolution,[],[f204926,f197767])). 83.95/12.26 tff(f197767,plain,( 83.95/12.26 member(sK0(union(difference(sF14,sF13),empty_set)),sF12) | ~spl19_682), 83.95/12.26 inference(avatar_component_clause,[],[f197766])). 83.95/12.26 tff(f247759,plain,( 83.95/12.26 spl19_820 | ~spl19_717 | ~spl19_743), 83.95/12.26 inference(avatar_split_clause,[],[f205331,f204855,f201823,f247757])). 83.95/12.26 tff(f201823,plain,( 83.95/12.26 spl19_717 <=> member(sK0(union(union(sF12,sF11),empty_set)),sF12)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_717])])). 83.95/12.26 tff(f205331,plain,( 83.95/12.26 member(sK0(union(union(sF12,sF11),empty_set)),sF18) | (~spl19_717 | ~spl19_743)), 83.95/12.26 inference(resolution,[],[f204926,f201824])). 83.95/12.26 tff(f201824,plain,( 83.95/12.26 member(sK0(union(union(sF12,sF11),empty_set)),sF12) | ~spl19_717), 83.95/12.26 inference(avatar_component_clause,[],[f201823])). 83.95/12.26 tff(f247755,plain,( 83.95/12.26 spl19_819 | ~spl19_705 | ~spl19_743), 83.95/12.26 inference(avatar_split_clause,[],[f205330,f204855,f200704,f247753])). 83.95/12.26 tff(f200704,plain,( 83.95/12.26 spl19_705 <=> member(sK0(union(union(sF12,sF9),empty_set)),sF12)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_705])])). 83.95/12.26 tff(f205330,plain,( 83.95/12.26 member(sK0(union(union(sF12,sF9),empty_set)),sF18) | (~spl19_705 | ~spl19_743)), 83.95/12.26 inference(resolution,[],[f204926,f200705])). 83.95/12.26 tff(f200705,plain,( 83.95/12.26 member(sK0(union(union(sF12,sF9),empty_set)),sF12) | ~spl19_705), 83.95/12.26 inference(avatar_component_clause,[],[f200704])). 83.95/12.26 tff(f243468,plain,( 83.95/12.26 spl19_702 | ~spl19_16 | ~spl19_700 | spl19_765), 83.95/12.26 inference(avatar_split_clause,[],[f242977,f217055,f199684,f150,f199693])). 83.95/12.26 tff(f199684,plain,( 83.95/12.26 spl19_700 <=> member(sK0(union(union(sF9,sF8),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_700])])). 83.95/12.26 tff(f217055,plain,( 83.95/12.26 spl19_765 <=> member(sK0(union(union(sF9,sF8),empty_set)),sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_765])])). 83.95/12.26 tff(f242977,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF12) | (~spl19_16 | ~spl19_700 | spl19_765)), 83.95/12.26 inference(subsumption_resolution,[],[f242976,f217056])). 83.95/12.26 tff(f217056,plain,( 83.95/12.26 ~member(sK0(union(union(sF9,sF8),empty_set)),sF13) | spl19_765), 83.95/12.26 inference(avatar_component_clause,[],[f217055])). 83.95/12.26 tff(f242976,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF12) | member(sK0(union(union(sF9,sF8),empty_set)),sF13) | (~spl19_16 | ~spl19_700)), 83.95/12.26 inference(resolution,[],[f199685,f352])). 83.95/12.26 tff(f199685,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF14) | ~spl19_700), 83.95/12.26 inference(avatar_component_clause,[],[f199684])). 83.95/12.26 tff(f241955,plain,( 83.95/12.26 spl19_53 | spl19_818 | ~spl19_3 | ~spl19_9 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f156439,f1281,f264,f150,f146,f122,f98,f241953,f567])). 83.95/12.26 tff(f241953,plain,( 83.95/12.26 spl19_818 <=> ! [X0 : set] : empty_set = union(intersection(sF11,X0),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_818])])). 83.95/12.26 tff(f156439,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(sF11,X0),empty_set) | member(sK6,sF14)) ) | (~spl19_3 | ~spl19_9 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f156431])). 83.95/12.26 tff(f156431,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK6,sF14) | empty_set = union(intersection(sF11,X0),empty_set) | empty_set = union(intersection(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f55881,f54262])). 83.95/12.26 tff(f54262,plain,( 83.95/12.26 ( ! [X0 : set] : (sK6 = sK0(union(intersection(sF11,X0),empty_set)) | empty_set = union(intersection(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53899,f205])). 83.95/12.26 tff(f55881,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sF11,X0),empty_set)),sF14) | empty_set = union(intersection(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54261,f244])). 83.95/12.26 tff(f54261,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sF11,X0),empty_set)),sF12) | empty_set = union(intersection(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53899,f237])). 83.95/12.26 tff(f241422,plain,( 83.95/12.26 spl19_53 | spl19_816 | ~spl19_3 | ~spl19_9 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f156438,f1281,f264,f150,f146,f122,f98,f240510,f567])). 83.95/12.26 tff(f240510,plain,( 83.95/12.26 spl19_816 <=> empty_set = union(intersection(sF11,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_816])])). 83.95/12.26 tff(f156438,plain,( 83.95/12.26 member(sK6,sF14) | empty_set = union(intersection(sF11,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f156435])). 83.95/12.26 tff(f156435,plain,( 83.95/12.26 empty_set = union(intersection(sF11,sF11),empty_set) | member(sK6,sF14) | empty_set = union(intersection(sF11,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f55881,f54220])). 83.95/12.26 tff(f54220,plain,( 83.95/12.26 ( ! [X0 : set] : (sK6 = sK0(union(intersection(X0,sF11),empty_set)) | empty_set = union(intersection(X0,sF11),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53898,f205])). 83.95/12.26 tff(f240516,plain,( 83.95/12.26 spl19_817 | spl19_53 | ~spl19_3 | ~spl19_9 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f154654,f1281,f264,f150,f146,f122,f98,f567,f240514])). 83.95/12.26 tff(f240514,plain,( 83.95/12.26 spl19_817 <=> ! [X0 : set] : empty_set = union(intersection(X0,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_817])])). 83.95/12.26 tff(f154654,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK6,sF14) | empty_set = union(intersection(X0,sF11),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f154643])). 83.95/12.26 tff(f154643,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(X0,sF11),empty_set) | empty_set = union(intersection(X0,sF11),empty_set) | member(sK6,sF14)) ) | (~spl19_3 | ~spl19_9 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54899,f54220])). 83.95/12.26 tff(f54899,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF11),empty_set)),sF14) | empty_set = union(intersection(X0,sF11),empty_set)) ) | (~spl19_3 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54219,f244])). 83.95/12.26 tff(f54219,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF11),empty_set)),sF12) | empty_set = union(intersection(X0,sF11),empty_set)) ) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53898,f237])). 83.95/12.26 tff(f240512,plain,( 83.95/12.26 spl19_816 | spl19_53 | ~spl19_3 | ~spl19_9 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f154648,f1281,f264,f150,f146,f122,f98,f567,f240510])). 83.95/12.26 tff(f154648,plain,( 83.95/12.26 member(sK6,sF14) | empty_set = union(intersection(sF11,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f154646])). 83.95/12.26 tff(f154646,plain,( 83.95/12.26 empty_set = union(intersection(sF11,sF11),empty_set) | member(sK6,sF14) | empty_set = union(intersection(sF11,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54899,f54262])). 83.95/12.26 tff(f234597,plain,( 83.95/12.26 ~spl19_278 | spl19_815 | ~spl19_3 | ~spl19_10 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f234589,f1281,f264,f150,f126,f98,f234595,f55900])). 83.95/12.26 tff(f234595,plain,( 83.95/12.26 spl19_815 <=> ! [X0 : element] : ~member(X0,difference(sF13,sF14))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_815])])). 83.95/12.26 tff(f234589,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,difference(sF13,sF14)) | ~member(sK7,sF12)) ) | (~spl19_3 | ~spl19_10 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f112490,f151])). 83.95/12.26 tff(f112490,plain,( 83.95/12.26 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,difference(sF13,union(X0,X1))) | ~member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f112464,f162])). 83.95/12.26 tff(f112464,plain,( 83.95/12.26 ( ! [X2 : element,X0 : set,X1 : set] : (~member(sK7,X0) | ~member(X2,difference(sF13,union(X0,X1))) | member(X2,empty_set)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54,f60941])). 83.95/12.26 tff(f60941,plain,( 83.95/12.26 ( ! [X0 : set,X1 : set] : (empty_set = union(difference(sF13,union(X0,X1)),empty_set) | ~member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f60932])). 83.95/12.26 tff(f60932,plain,( 83.95/12.26 ( ! [X0 : set,X1 : set] : (empty_set = union(difference(sF13,union(X0,X1)),empty_set) | ~member(sK7,X0) | empty_set = union(difference(sF13,union(X0,X1)),empty_set)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54289,f54326])). 83.95/12.26 tff(f54326,plain,( 83.95/12.26 ( ! [X0 : set] : (sK7 = sK0(union(difference(sF13,X0),empty_set)) | empty_set = union(difference(sF13,X0),empty_set)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53902,f206])). 83.95/12.26 tff(f226547,plain,( 83.95/12.26 spl19_814 | ~spl19_20 | ~spl19_811), 83.95/12.26 inference(avatar_split_clause,[],[f226339,f225210,f181,f226545])). 83.95/12.26 tff(f226545,plain,( 83.95/12.26 spl19_814 <=> 0 = cardinality(intersection(complement(sF11),sF12))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_814])])). 83.95/12.26 tff(f225210,plain,( 83.95/12.26 spl19_811 <=> empty_set = union(intersection(complement(sF11),sF12),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_811])])). 83.95/12.26 tff(f226339,plain,( 83.95/12.26 0 = cardinality(intersection(complement(sF11),sF12)) | (~spl19_20 | ~spl19_811)), 83.95/12.26 inference(forward_demodulation,[],[f226294,f182])). 83.95/12.26 tff(f226294,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(intersection(complement(sF11),sF12)) | (~spl19_20 | ~spl19_811)), 83.95/12.26 inference(superposition,[],[f6110,f225211])). 83.95/12.26 tff(f225211,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF11),sF12),empty_set) | ~spl19_811), 83.95/12.26 inference(avatar_component_clause,[],[f225210])). 83.95/12.26 tff(f225735,plain,( 83.95/12.26 spl19_813 | ~spl19_20 | ~spl19_798), 83.95/12.26 inference(avatar_split_clause,[],[f225723,f223905,f181,f225733])). 83.95/12.26 tff(f225733,plain,( 83.95/12.26 spl19_813 <=> 0 = cardinality(intersection(sF14,complement(sF13)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_813])])). 83.95/12.26 tff(f223905,plain,( 83.95/12.26 spl19_798 <=> empty_set = union(intersection(sF14,complement(sF13)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_798])])). 83.95/12.26 tff(f225723,plain,( 83.95/12.26 0 = cardinality(intersection(sF14,complement(sF13))) | (~spl19_20 | ~spl19_798)), 83.95/12.26 inference(forward_demodulation,[],[f225682,f182])). 83.95/12.26 tff(f225682,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(intersection(sF14,complement(sF13))) | (~spl19_20 | ~spl19_798)), 83.95/12.26 inference(superposition,[],[f6110,f223906])). 83.95/12.26 tff(f223906,plain,( 83.95/12.26 empty_set = union(intersection(sF14,complement(sF13)),empty_set) | ~spl19_798), 83.95/12.26 inference(avatar_component_clause,[],[f223905])). 83.95/12.26 tff(f225215,plain,( 83.95/12.26 spl19_811 | spl19_812 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.26 inference(avatar_split_clause,[],[f64838,f1443,f1281,f264,f98,f225213,f225210])). 83.95/12.26 tff(f64838,plain,( 83.95/12.26 member(sK0(union(intersection(complement(sF11),sF12),empty_set)),sF9) | empty_set = union(intersection(complement(sF11),sF12),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(duplicate_literal_removal,[],[f64821])). 83.95/12.26 tff(f64821,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF11),sF12),empty_set) | empty_set = union(intersection(complement(sF11),sF12),empty_set) | member(sK0(union(intersection(complement(sF11),sF12),empty_set)),sF9) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54953,f54250])). 83.95/12.26 tff(f54953,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF12),empty_set)),sF11) | empty_set = union(intersection(X0,sF12),empty_set) | member(sK0(union(intersection(X0,sF12),empty_set)),sF9)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f53666,f53898])). 83.95/12.26 tff(f224572,plain,( 83.95/12.26 spl19_810 | ~spl19_20 | ~spl19_790), 83.95/12.26 inference(avatar_split_clause,[],[f224560,f223873,f181,f224570])). 83.95/12.26 tff(f224570,plain,( 83.95/12.26 spl19_810 <=> 0 = cardinality(intersection(complement(sF13),sF14))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_810])])). 83.95/12.26 tff(f223873,plain,( 83.95/12.26 spl19_790 <=> empty_set = union(intersection(complement(sF13),sF14),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_790])])). 83.95/12.26 tff(f224560,plain,( 83.95/12.26 0 = cardinality(intersection(complement(sF13),sF14)) | (~spl19_20 | ~spl19_790)), 83.95/12.26 inference(forward_demodulation,[],[f224519,f182])). 83.95/12.26 tff(f224519,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(intersection(complement(sF13),sF14)) | (~spl19_20 | ~spl19_790)), 83.95/12.26 inference(superposition,[],[f6110,f223874])). 83.95/12.26 tff(f223874,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF13),sF14),empty_set) | ~spl19_790), 83.95/12.26 inference(avatar_component_clause,[],[f223873])). 83.95/12.26 tff(f224517,plain,( 83.95/12.26 spl19_809 | spl19_232 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_146), 83.95/12.26 inference(avatar_split_clause,[],[f162739,f52205,f1281,f264,f126,f98,f54660,f224515])). 83.95/12.26 tff(f224515,plain,( 83.95/12.26 spl19_809 <=> ! [X0 : set] : member(sK7,difference(sF9,X0))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_809])])). 83.95/12.26 tff(f54660,plain,( 83.95/12.26 spl19_232 <=> ! [X1 : element] : member(X1,complement(empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_232])])). 83.95/12.26 tff(f162739,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK7,difference(sF9,X0))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_146)), 83.95/12.26 inference(superposition,[],[f55925,f162405])). 83.95/12.26 tff(f162405,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(difference(sF9,X0),sF13)) ) | ~spl19_146), 83.95/12.26 inference(duplicate_literal_removal,[],[f162163])). 83.95/12.26 tff(f162163,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(difference(sF9,X0),sF13) | empty_set = intersection(difference(sF9,X0),sF13)) ) | ~spl19_146), 83.95/12.26 inference(resolution,[],[f4847,f52583])). 83.95/12.26 tff(f4847,plain,( 83.95/12.26 ( ! [X2 : set,X0 : set,X1 : set] : (member(sK0(intersection(difference(X0,X1),X2)),X0) | empty_set = intersection(difference(X0,X1),X2)) )), 83.95/12.26 inference(resolution,[],[f233,f62])). 83.95/12.26 tff(f55925,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,complement(intersection(X0,sF13))) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f55923,f162])). 83.95/12.26 tff(f55923,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,complement(intersection(X0,sF13))) | member(sK7,X0) | member(X1,empty_set)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f57,f55353])). 83.95/12.26 tff(f55353,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = complement(complement(intersection(X0,sF13))) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f55341,f753])). 83.95/12.26 tff(f55341,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(X0,sF13)) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f55338,f162])). 83.95/12.26 tff(f55338,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,intersection(X0,sF13)) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54,f55269])). 83.95/12.26 tff(f55269,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(X0,sF13),empty_set) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f55261])). 83.95/12.26 tff(f55261,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(X0,sF13),empty_set) | empty_set = union(intersection(X0,sF13),empty_set) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f53899,f54225])). 83.95/12.26 tff(f54225,plain,( 83.95/12.26 ( ! [X0 : set] : (sK7 = sK0(union(intersection(X0,sF13),empty_set)) | empty_set = union(intersection(X0,sF13),empty_set)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53898,f206])). 83.95/12.26 tff(f224513,plain,( 83.95/12.26 spl19_807 | spl19_808 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.26 inference(avatar_split_clause,[],[f64798,f1443,f1281,f264,f98,f224511,f224508])). 83.95/12.26 tff(f64798,plain,( 83.95/12.26 member(sK0(union(intersection(sF12,complement(sF11)),empty_set)),sF9) | empty_set = union(intersection(sF12,complement(sF11)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(duplicate_literal_removal,[],[f64779])). 83.95/12.26 tff(f64779,plain,( 83.95/12.26 empty_set = union(intersection(sF12,complement(sF11)),empty_set) | empty_set = union(intersection(sF12,complement(sF11)),empty_set) | member(sK0(union(intersection(sF12,complement(sF11)),empty_set)),sF9) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54946,f54208])). 83.95/12.26 tff(f54946,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sF12,X0),empty_set)),sF11) | empty_set = union(intersection(sF12,X0),empty_set) | member(sK0(union(intersection(sF12,X0),empty_set)),sF9)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f53666,f53899])). 83.95/12.26 tff(f224506,plain,( 83.95/12.26 spl19_806 | spl19_232 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_164), 83.95/12.26 inference(avatar_split_clause,[],[f162570,f52974,f1281,f264,f126,f98,f54660,f224504])). 83.95/12.26 tff(f224504,plain,( 83.95/12.26 spl19_806 <=> ! [X0 : set] : member(sK7,difference(sK5,X0))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_806])])). 83.95/12.26 tff(f162570,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK7,difference(sK5,X0))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_164)), 83.95/12.26 inference(superposition,[],[f55925,f162403])). 83.95/12.26 tff(f162403,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(difference(sK5,X0),sF13)) ) | ~spl19_164), 83.95/12.26 inference(duplicate_literal_removal,[],[f162161])). 83.95/12.26 tff(f162161,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(difference(sK5,X0),sF13) | empty_set = intersection(difference(sK5,X0),sF13)) ) | ~spl19_164), 83.95/12.26 inference(resolution,[],[f4847,f53003])). 83.95/12.26 tff(f224502,plain,( 83.95/12.26 spl19_804 | spl19_805 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f63031,f1281,f264,f158,f98,f224500,f224497])). 83.95/12.26 tff(f63031,plain,( 83.95/12.26 empty_set = union(intersection(sF18,complement(sF11)),empty_set) | member(sK0(union(intersection(sF18,complement(sF11)),empty_set)),sK5) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f63009])). 83.95/12.26 tff(f63009,plain,( 83.95/12.26 empty_set = union(intersection(sF18,complement(sF11)),empty_set) | member(sK0(union(intersection(sF18,complement(sF11)),empty_set)),sK5) | empty_set = union(intersection(sF18,complement(sF11)),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54270,f54208])). 83.95/12.26 tff(f54270,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sF18,X0),empty_set)),sF11) | member(sK0(union(intersection(sF18,X0),empty_set)),sK5) | empty_set = union(intersection(sF18,X0),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53899,f351])). 83.95/12.26 tff(f224089,plain,( 83.95/12.26 spl19_803 | spl19_232 | ~spl19_3 | ~spl19_8 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_92), 83.95/12.26 inference(avatar_split_clause,[],[f161859,f5066,f1281,f264,f138,f118,f98,f54660,f224087])). 83.95/12.26 tff(f224087,plain,( 83.95/12.26 spl19_803 <=> ! [X0 : set] : member(sK1,difference(X0,sK2))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_803])])). 83.95/12.26 tff(f161859,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK1,difference(X0,sK2))) ) | (~spl19_3 | ~spl19_8 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_92)), 83.95/12.26 inference(superposition,[],[f54643,f160990])). 83.95/12.26 tff(f160990,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(difference(X0,sK2),sF8)) ) | (~spl19_13 | ~spl19_92)), 83.95/12.26 inference(duplicate_literal_removal,[],[f160853])). 83.95/12.26 tff(f160853,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(difference(X0,sK2),sF8) | empty_set = intersection(difference(X0,sK2),sF8)) ) | (~spl19_13 | ~spl19_92)), 83.95/12.26 inference(resolution,[],[f4846,f52441])). 83.95/12.26 tff(f54643,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,complement(intersection(X0,sF8))) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f54640,f162])). 83.95/12.26 tff(f54640,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | member(sK1,X0) | member(X1,complement(intersection(X0,sF8)))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f57,f54422])). 83.95/12.26 tff(f54422,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = complement(complement(intersection(X0,sF8))) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54412,f753])). 83.95/12.26 tff(f54412,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(X0,sF8)) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f54408,f162])). 83.95/12.26 tff(f54408,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(X0,sF8)) | member(sK1,X0) | member(X1,empty_set)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54,f54400])). 83.95/12.26 tff(f54400,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(X0,sF8),empty_set) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f54392])). 83.95/12.26 tff(f54392,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK1,X0) | empty_set = union(intersection(X0,sF8),empty_set) | empty_set = union(intersection(X0,sF8),empty_set)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f53899,f54211])). 83.95/12.26 tff(f54211,plain,( 83.95/12.26 ( ! [X0 : set] : (sK1 = sK0(union(intersection(X0,sF8),empty_set)) | empty_set = union(intersection(X0,sF8),empty_set)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53898,f204])). 83.95/12.26 tff(f224085,plain,( 83.95/12.26 spl19_802 | spl19_232 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_146), 83.95/12.26 inference(avatar_split_clause,[],[f161570,f52205,f1281,f264,f126,f98,f54660,f224083])). 83.95/12.26 tff(f224083,plain,( 83.95/12.26 spl19_802 <=> ! [X0 : set] : member(sK7,intersection(sF9,X0))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_802])])). 83.95/12.26 tff(f161570,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(sK7,intersection(sF9,X0)) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_146)), 83.95/12.26 inference(superposition,[],[f55925,f159845])). 83.95/12.26 tff(f159845,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(intersection(sF9,X0),sF13)) ) | ~spl19_146), 83.95/12.26 inference(duplicate_literal_removal,[],[f159541])). 83.95/12.26 tff(f159541,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(intersection(sF9,X0),sF13) | empty_set = intersection(intersection(sF9,X0),sF13)) ) | ~spl19_146), 83.95/12.26 inference(resolution,[],[f4844,f52583])). 83.95/12.26 tff(f224080,plain,( 83.95/12.26 spl19_232 | spl19_801 | ~spl19_3 | ~spl19_5 | ~spl19_8 | ~spl19_13 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f161259,f1281,f264,f158,f138,f118,f106,f98,f224078,f54660])). 83.95/12.26 tff(f224078,plain,( 83.95/12.26 spl19_801 <=> ! [X0 : set] : member(sK1,difference(X0,sF18))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_801])])). 83.95/12.26 tff(f161259,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK1,difference(X0,sF18))) ) | (~spl19_3 | ~spl19_5 | ~spl19_8 | ~spl19_13 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54643,f160997])). 83.95/12.26 tff(f224076,plain,( 83.95/12.26 spl19_232 | spl19_800 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_164), 83.95/12.26 inference(avatar_split_clause,[],[f160315,f52974,f1281,f264,f126,f98,f224074,f54660])). 83.95/12.26 tff(f224074,plain,( 83.95/12.26 spl19_800 <=> ! [X0 : set] : member(sK7,intersection(sK5,X0))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_800])])). 83.95/12.26 tff(f160315,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK7,intersection(sK5,X0))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_164)), 83.95/12.26 inference(superposition,[],[f55925,f159847])). 83.95/12.26 tff(f159847,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(intersection(sK5,X0),sF13)) ) | ~spl19_164), 83.95/12.26 inference(duplicate_literal_removal,[],[f159539])). 83.95/12.26 tff(f159539,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(intersection(sK5,X0),sF13) | empty_set = intersection(intersection(sK5,X0),sF13)) ) | ~spl19_164), 83.95/12.26 inference(resolution,[],[f4844,f53003])). 83.95/12.26 tff(f223910,plain,( 83.95/12.26 spl19_798 | spl19_799 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f62967,f1281,f264,f150,f98,f223908,f223905])). 83.95/12.26 tff(f62967,plain,( 83.95/12.26 empty_set = union(intersection(sF14,complement(sF13)),empty_set) | member(sK0(union(intersection(sF14,complement(sF13)),empty_set)),sF12) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f62948])). 83.95/12.26 tff(f62948,plain,( 83.95/12.26 member(sK0(union(intersection(sF14,complement(sF13)),empty_set)),sF12) | empty_set = union(intersection(sF14,complement(sF13)),empty_set) | empty_set = union(intersection(sF14,complement(sF13)),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54268,f54208])). 83.95/12.26 tff(f54268,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sF14,X0),empty_set)),sF13) | empty_set = union(intersection(sF14,X0),empty_set) | member(sK0(union(intersection(sF14,X0),empty_set)),sF12)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53899,f352])). 83.95/12.26 tff(f223903,plain,( 83.95/12.26 spl19_797 | spl19_232 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_146), 83.95/12.26 inference(avatar_split_clause,[],[f159341,f52205,f1281,f264,f126,f98,f54660,f223901])). 83.95/12.26 tff(f223901,plain,( 83.95/12.26 spl19_797 <=> ! [X0 : set] : member(sK7,intersection(X0,sF9))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_797])])). 83.95/12.26 tff(f159341,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(sK7,intersection(X0,sF9)) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_146)), 83.95/12.26 inference(superposition,[],[f55925,f159126])). 83.95/12.26 tff(f159126,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(intersection(X0,sF9),sF13)) ) | ~spl19_146), 83.95/12.26 inference(duplicate_literal_removal,[],[f158829])). 83.95/12.26 tff(f158829,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(intersection(X0,sF9),sF13) | empty_set = intersection(intersection(X0,sF9),sF13)) ) | ~spl19_146), 83.95/12.26 inference(resolution,[],[f4843,f52583])). 83.95/12.26 tff(f223899,plain,( 83.95/12.26 spl19_795 | spl19_796 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f62664,f1281,f264,f158,f98,f223897,f223894])). 83.95/12.26 tff(f62664,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF11),sF18),empty_set) | member(sK0(union(intersection(complement(sF11),sF18),empty_set)),sK5) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f62642])). 83.95/12.26 tff(f62642,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF11),sF18),empty_set) | empty_set = union(intersection(complement(sF11),sF18),empty_set) | member(sK0(union(intersection(complement(sF11),sF18),empty_set)),sK5) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54228,f54250])). 83.95/12.26 tff(f54228,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF18),empty_set)),sF11) | member(sK0(union(intersection(X0,sF18),empty_set)),sK5) | empty_set = union(intersection(X0,sF18),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53898,f351])). 83.95/12.26 tff(f223892,plain,( 83.95/12.26 spl19_232 | spl19_794 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_164), 83.95/12.26 inference(avatar_split_clause,[],[f159165,f52974,f1281,f264,f126,f98,f223890,f54660])). 83.95/12.26 tff(f223890,plain,( 83.95/12.26 spl19_794 <=> ! [X0 : set] : member(sK7,intersection(X0,sK5))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_794])])). 83.95/12.26 tff(f159165,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(sK7,intersection(X0,sK5)) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_164)), 83.95/12.26 inference(superposition,[],[f55925,f159129])). 83.95/12.26 tff(f159129,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(intersection(X0,sK5),sF13)) ) | ~spl19_164), 83.95/12.26 inference(duplicate_literal_removal,[],[f158827])). 83.95/12.26 tff(f158827,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(intersection(X0,sK5),sF13) | empty_set = intersection(intersection(X0,sK5),sF13)) ) | ~spl19_164), 83.95/12.26 inference(resolution,[],[f4843,f53003])). 83.95/12.26 tff(f223888,plain,( 83.95/12.26 spl19_793 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_789), 83.95/12.26 inference(avatar_split_clause,[],[f223797,f223754,f1281,f264,f98,f223886])). 83.95/12.26 tff(f223886,plain,( 83.95/12.26 spl19_793 <=> empty_set = difference(difference(sF13,complement(sF18)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_793])])). 83.95/12.26 tff(f223754,plain,( 83.95/12.26 spl19_789 <=> empty_set = union(difference(sF13,complement(sF18)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_789])])). 83.95/12.26 tff(f223797,plain,( 83.95/12.26 empty_set = difference(difference(sF13,complement(sF18)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_789)), 83.95/12.26 inference(superposition,[],[f63946,f223755])). 83.95/12.26 tff(f223755,plain,( 83.95/12.26 empty_set = union(difference(sF13,complement(sF18)),empty_set) | ~spl19_789), 83.95/12.26 inference(avatar_component_clause,[],[f223754])). 83.95/12.26 tff(f223884,plain,( 83.95/12.26 spl19_792 | ~spl19_789), 83.95/12.26 inference(avatar_split_clause,[],[f223823,f223754,f223882])). 83.95/12.26 tff(f223882,plain,( 83.95/12.26 spl19_792 <=> empty_set = difference(sF13,complement(sF18))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_792])])). 83.95/12.26 tff(f223823,plain,( 83.95/12.26 empty_set = difference(sF13,complement(sF18)) | ~spl19_789), 83.95/12.26 inference(resolution,[],[f223817,f59])). 83.95/12.26 tff(f223817,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,difference(sF13,complement(sF18)))) ) | ~spl19_789), 83.95/12.26 inference(subsumption_resolution,[],[f223774,f162])). 83.95/12.26 tff(f223774,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(sF13,complement(sF18)))) ) | ~spl19_789), 83.95/12.26 inference(superposition,[],[f54,f223755])). 83.95/12.26 tff(f223878,plain,( 83.95/12.26 spl19_790 | spl19_791 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f62477,f1281,f264,f150,f98,f223876,f223873])). 83.95/12.26 tff(f62477,plain,( 83.95/12.26 member(sK0(union(intersection(complement(sF13),sF14),empty_set)),sF12) | empty_set = union(intersection(complement(sF13),sF14),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f62458])). 83.95/12.26 tff(f62458,plain,( 83.95/12.26 member(sK0(union(intersection(complement(sF13),sF14),empty_set)),sF12) | empty_set = union(intersection(complement(sF13),sF14),empty_set) | empty_set = union(intersection(complement(sF13),sF14),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54226,f54250])). 83.95/12.26 tff(f54226,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF14),empty_set)),sF13) | member(sK0(union(intersection(X0,sF14),empty_set)),sF12) | empty_set = union(intersection(X0,sF14),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53898,f352])). 83.95/12.26 tff(f223756,plain,( 83.95/12.26 spl19_789 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.95/12.26 inference(avatar_split_clause,[],[f221994,f52201,f1281,f264,f98,f223754])). 83.95/12.26 tff(f221994,plain,( 83.95/12.26 empty_set = union(difference(sF13,complement(sF18)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.95/12.26 inference(duplicate_literal_removal,[],[f221962])). 83.95/12.26 tff(f221962,plain,( 83.95/12.26 empty_set = union(difference(sF13,complement(sF18)),empty_set) | empty_set = union(difference(sF13,complement(sF18)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.95/12.26 inference(resolution,[],[f59142,f53902])). 83.95/12.26 tff(f59142,plain,( 83.95/12.26 ( ! [X0 : set] : (~member(sK0(union(difference(X0,complement(sF18)),empty_set)),sF13) | empty_set = union(difference(X0,complement(sF18)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.95/12.26 inference(resolution,[],[f54292,f52220])). 83.95/12.26 tff(f223351,plain,( 83.95/12.26 spl19_788 | ~spl19_20 | ~spl19_786), 83.95/12.26 inference(avatar_split_clause,[],[f223313,f221997,f181,f223349])). 83.95/12.26 tff(f223349,plain,( 83.95/12.26 spl19_788 <=> 0 = cardinality(difference(sF8,complement(sF13)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_788])])). 83.95/12.26 tff(f221997,plain,( 83.95/12.26 spl19_786 <=> empty_set = union(difference(sF8,complement(sF13)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_786])])). 83.95/12.26 tff(f223313,plain,( 83.95/12.26 0 = cardinality(difference(sF8,complement(sF13))) | (~spl19_20 | ~spl19_786)), 83.95/12.26 inference(forward_demodulation,[],[f223270,f182])). 83.95/12.26 tff(f223270,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(difference(sF8,complement(sF13))) | (~spl19_20 | ~spl19_786)), 83.95/12.26 inference(superposition,[],[f6110,f221998])). 83.95/12.26 tff(f221998,plain,( 83.95/12.26 empty_set = union(difference(sF8,complement(sF13)),empty_set) | ~spl19_786), 83.95/12.26 inference(avatar_component_clause,[],[f221997])). 83.95/12.26 tff(f222467,plain,( 83.95/12.26 spl19_787 | ~spl19_20 | ~spl19_785), 83.95/12.26 inference(avatar_split_clause,[],[f222042,f221549,f181,f222465])). 83.95/12.26 tff(f222465,plain,( 83.95/12.26 spl19_787 <=> 0 = cardinality(difference(sF12,complement(sF13)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_787])])). 83.95/12.26 tff(f221549,plain,( 83.95/12.26 spl19_785 <=> empty_set = union(difference(sF12,complement(sF13)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_785])])). 83.95/12.26 tff(f222042,plain,( 83.95/12.26 0 = cardinality(difference(sF12,complement(sF13))) | (~spl19_20 | ~spl19_785)), 83.95/12.26 inference(forward_demodulation,[],[f222001,f182])). 83.95/12.26 tff(f222001,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(difference(sF12,complement(sF13))) | (~spl19_20 | ~spl19_785)), 83.95/12.26 inference(superposition,[],[f6110,f221550])). 83.95/12.26 tff(f221550,plain,( 83.95/12.26 empty_set = union(difference(sF12,complement(sF13)),empty_set) | ~spl19_785), 83.95/12.26 inference(avatar_component_clause,[],[f221549])). 83.95/12.26 tff(f221999,plain,( 83.95/12.26 spl19_786 | ~spl19_3 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61 | spl19_166), 83.95/12.26 inference(avatar_split_clause,[],[f221539,f53008,f1281,f264,f138,f126,f106,f98,f221997])). 83.95/12.26 tff(f221539,plain,( 83.95/12.26 empty_set = union(difference(sF8,complement(sF13)),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61 | spl19_166)), 83.95/12.26 inference(subsumption_resolution,[],[f221504,f53009])). 83.95/12.26 tff(f221504,plain,( 83.95/12.26 empty_set = union(difference(sF8,complement(sF13)),empty_set) | member(sK7,sK5) | (~spl19_3 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f221472])). 83.95/12.26 tff(f221472,plain,( 83.95/12.26 member(sK7,sK5) | empty_set = union(difference(sF8,complement(sF13)),empty_set) | empty_set = union(difference(sF8,complement(sF13)),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f56403,f59140])). 83.95/12.26 tff(f59140,plain,( 83.95/12.26 ( ! [X0 : set] : (sK7 = sK0(union(difference(X0,complement(sF13)),empty_set)) | empty_set = union(difference(X0,complement(sF13)),empty_set)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54292,f206])). 83.95/12.26 tff(f221960,plain,( 83.95/12.26 spl19_785 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66 | spl19_161 | spl19_271), 83.95/12.26 inference(avatar_split_clause,[],[f221538,f55520,f52588,f1443,f1281,f264,f126,f98,f221549])). 83.95/12.26 tff(f221538,plain,( 83.95/12.26 empty_set = union(difference(sF12,complement(sF13)),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66 | spl19_161 | spl19_271)), 83.95/12.26 inference(subsumption_resolution,[],[f221537,f52589])). 83.95/12.26 tff(f221537,plain,( 83.95/12.26 empty_set = union(difference(sF12,complement(sF13)),empty_set) | member(sK7,sF9) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66 | spl19_271)), 83.95/12.26 inference(subsumption_resolution,[],[f221505,f97687])). 83.95/12.26 tff(f221505,plain,( 83.95/12.26 empty_set = union(difference(sF12,complement(sF13)),empty_set) | member(sK7,sF11) | member(sK7,sF9) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(duplicate_literal_removal,[],[f221482])). 83.95/12.26 tff(f221482,plain,( 83.95/12.26 member(sK7,sF9) | empty_set = union(difference(sF12,complement(sF13)),empty_set) | member(sK7,sF11) | empty_set = union(difference(sF12,complement(sF13)),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(superposition,[],[f54947,f59140])). 83.95/12.26 tff(f221551,plain,( 83.95/12.26 spl19_785 | ~spl19_3 | ~spl19_10 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95 | spl19_147), 83.95/12.26 inference(avatar_split_clause,[],[f221534,f52209,f5373,f1443,f1281,f264,f158,f126,f98,f221549])). 83.95/12.26 tff(f221534,plain,( 83.95/12.26 empty_set = union(difference(sF12,complement(sF13)),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95 | spl19_147)), 83.95/12.26 inference(subsumption_resolution,[],[f221509,f84082])). 83.95/12.26 tff(f221509,plain,( 83.95/12.26 member(sK7,sF18) | empty_set = union(difference(sF12,complement(sF13)),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.95/12.26 inference(duplicate_literal_removal,[],[f221481])). 83.95/12.26 tff(f221481,plain,( 83.95/12.26 empty_set = union(difference(sF12,complement(sF13)),empty_set) | empty_set = union(difference(sF12,complement(sF13)),empty_set) | member(sK7,sF18) | (~spl19_3 | ~spl19_10 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.95/12.26 inference(superposition,[],[f64818,f59140])). 83.95/12.26 tff(f221439,plain,( 83.95/12.26 spl19_784 | spl19_232 | ~spl19_3 | ~spl19_7 | ~spl19_9 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f156628,f1281,f264,f158,f122,f114,f98,f54660,f221437])). 83.95/12.26 tff(f221437,plain,( 83.95/12.26 spl19_784 <=> ! [X0 : set] : member(sK6,difference(X0,sK2))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_784])])). 83.95/12.26 tff(f156628,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK6,difference(X0,sK2))) ) | (~spl19_3 | ~spl19_7 | ~spl19_9 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f55232,f156313])). 83.95/12.26 tff(f156313,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(difference(X0,sK2),sF11)) ) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f156303,f59])). 83.95/12.26 tff(f156303,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(difference(X0,sK2),sF11))) ) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f156264,f162])). 83.95/12.26 tff(f156264,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,intersection(difference(X0,sK2),sF11))) ) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54,f153408])). 83.95/12.26 tff(f153408,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(difference(X0,sK2),sF11),empty_set)) ) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f153380])). 83.95/12.26 tff(f153380,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(difference(X0,sK2),sF11),empty_set) | empty_set = union(intersection(difference(X0,sK2),sF11),empty_set)) ) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54890,f54248])). 83.95/12.26 tff(f54248,plain,( 83.95/12.26 ( ! [X2 : set,X0 : set,X1 : set] : (~member(sK0(union(intersection(difference(X0,X1),X2),empty_set)),X1) | empty_set = union(intersection(difference(X0,X1),X2),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53899,f63])). 83.95/12.26 tff(f54890,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF11),empty_set)),sK2) | empty_set = union(intersection(X0,sF11),empty_set)) ) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54218,f272])). 83.95/12.26 tff(f55232,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,complement(intersection(X0,sF11))) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f55229,f162])). 83.95/12.26 tff(f55229,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(sK6,X0) | member(X1,complement(intersection(X0,sF11))) | member(X1,empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f57,f55025])). 83.95/12.26 tff(f55025,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = complement(complement(intersection(X0,sF11))) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f55006,f753])). 83.95/12.26 tff(f55006,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(X0,sF11)) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f55003,f162])). 83.95/12.26 tff(f55003,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(sK6,X0) | ~member(X1,intersection(X0,sF11)) | member(X1,empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54,f54983])). 83.95/12.26 tff(f54983,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(X0,sF11),empty_set) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f54978])). 83.95/12.26 tff(f54978,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK6,X0) | empty_set = union(intersection(X0,sF11),empty_set) | empty_set = union(intersection(X0,sF11),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f53899,f54220])). 83.95/12.26 tff(f221435,plain,( 83.95/12.26 spl19_783 | spl19_232 | ~spl19_3 | ~spl19_5 | ~spl19_8 | ~spl19_13 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f154014,f1281,f264,f138,f118,f106,f98,f54660,f221433])). 83.95/12.26 tff(f221433,plain,( 83.95/12.26 spl19_783 <=> ! [X0 : set] : member(sK1,difference(X0,sK5))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_783])])). 83.95/12.26 tff(f154014,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK1,difference(X0,sK5))) ) | (~spl19_3 | ~spl19_5 | ~spl19_8 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54643,f153932])). 83.95/12.26 tff(f153932,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(difference(X0,sK5),sF8)) ) | (~spl19_3 | ~spl19_5 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f153922,f59])). 83.95/12.26 tff(f153922,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(difference(X0,sK5),sF8))) ) | (~spl19_3 | ~spl19_5 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f153888,f162])). 83.95/12.26 tff(f153888,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,intersection(difference(X0,sK5),sF8))) ) | (~spl19_3 | ~spl19_5 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54,f151767])). 83.95/12.26 tff(f151767,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(difference(X0,sK5),sF8),empty_set)) ) | (~spl19_3 | ~spl19_5 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f151738])). 83.95/12.26 tff(f151738,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(difference(X0,sK5),sF8),empty_set) | empty_set = union(intersection(difference(X0,sK5),sF8),empty_set)) ) | (~spl19_3 | ~spl19_5 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54381,f54248])). 83.95/12.26 tff(f54381,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF8),empty_set)),sK5) | empty_set = union(intersection(X0,sF8),empty_set)) ) | (~spl19_3 | ~spl19_5 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54210,f271])). 83.95/12.26 tff(f54210,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF8),empty_set)),sF9) | empty_set = union(intersection(X0,sF8),empty_set)) ) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53898,f235])). 83.95/12.26 tff(f221429,plain,( 83.95/12.26 spl19_782 | spl19_232 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_141), 83.95/12.26 inference(avatar_split_clause,[],[f144504,f51939,f1281,f264,f122,f98,f54660,f221427])). 83.95/12.26 tff(f221427,plain,( 83.95/12.26 spl19_782 <=> ! [X0 : set] : member(sK6,intersection(X0,sF9))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_782])])). 83.95/12.26 tff(f144504,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK6,intersection(X0,sF9))) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(superposition,[],[f55232,f144385])). 83.95/12.26 tff(f144385,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(intersection(X0,sF9),sF11)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(resolution,[],[f144382,f59])). 83.95/12.26 tff(f144382,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(intersection(X0,sF9),sF11))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(subsumption_resolution,[],[f144326,f162])). 83.95/12.26 tff(f144326,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(intersection(X0,sF9),sF11)) | member(X1,empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(superposition,[],[f54,f140668])). 83.95/12.26 tff(f140668,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(intersection(X0,sF9),sF11),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(duplicate_literal_removal,[],[f140641])). 83.95/12.26 tff(f140641,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(intersection(X0,sF9),sF11),empty_set) | empty_set = union(intersection(intersection(X0,sF9),sF11),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(resolution,[],[f54217,f54245])). 83.95/12.26 tff(f54245,plain,( 83.95/12.26 ( ! [X2 : set,X0 : set,X1 : set] : (member(sK0(union(intersection(intersection(X0,X1),X2),empty_set)),X1) | empty_set = union(intersection(intersection(X0,X1),X2),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53899,f48])). 83.95/12.26 tff(f220573,plain,( 83.95/12.26 spl19_232 | spl19_781 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_141), 83.95/12.26 inference(avatar_split_clause,[],[f142037,f51939,f1281,f264,f122,f98,f220571,f54660])). 83.95/12.26 tff(f220571,plain,( 83.95/12.26 spl19_781 <=> ! [X0 : set] : member(sK6,intersection(sF9,X0))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_781])])). 83.95/12.26 tff(f142037,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(sK6,intersection(sF9,X0)) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(superposition,[],[f55232,f141920])). 83.95/12.26 tff(f141920,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(intersection(sF9,X0),sF11)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(resolution,[],[f141355,f59])). 83.95/12.26 tff(f141355,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(intersection(sF9,X0),sF11))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(subsumption_resolution,[],[f141311,f162])). 83.95/12.26 tff(f141311,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(intersection(sF9,X0),sF11)) | member(X1,empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(superposition,[],[f54,f140665])). 83.95/12.26 tff(f140665,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(intersection(sF9,X0),sF11),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(duplicate_literal_removal,[],[f140639])). 83.95/12.26 tff(f140639,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(intersection(sF9,X0),sF11),empty_set) | empty_set = union(intersection(intersection(sF9,X0),sF11),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(resolution,[],[f54217,f54246])). 83.95/12.26 tff(f54246,plain,( 83.95/12.26 ( ! [X2 : set,X0 : set,X1 : set] : (member(sK0(union(intersection(intersection(X0,X1),X2),empty_set)),X0) | empty_set = union(intersection(intersection(X0,X1),X2),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53899,f47])). 83.95/12.26 tff(f220566,plain,( 83.95/12.26 spl19_232 | spl19_780 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_141), 83.95/12.26 inference(avatar_split_clause,[],[f140882,f51939,f1281,f264,f122,f98,f220564,f54660])). 83.95/12.26 tff(f220564,plain,( 83.95/12.26 spl19_780 <=> ! [X0 : set] : member(sK6,difference(sF9,X0))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_780])])). 83.95/12.26 tff(f140882,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(sK6,difference(sF9,X0)) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(superposition,[],[f55232,f140748])). 83.95/12.26 tff(f140748,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = intersection(difference(sF9,X0),sF11)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(resolution,[],[f140733,f59])). 83.95/12.26 tff(f140733,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(difference(sF9,X0),sF11))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(subsumption_resolution,[],[f140696,f162])). 83.95/12.26 tff(f140696,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,intersection(difference(sF9,X0),sF11))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(superposition,[],[f54,f140662])). 83.95/12.26 tff(f140662,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(difference(sF9,X0),sF11),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(duplicate_literal_removal,[],[f140640])). 83.95/12.26 tff(f140640,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(intersection(difference(sF9,X0),sF11),empty_set) | empty_set = union(intersection(difference(sF9,X0),sF11),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(resolution,[],[f54217,f54249])). 83.95/12.26 tff(f54249,plain,( 83.95/12.26 ( ! [X2 : set,X0 : set,X1 : set] : (member(sK0(union(intersection(difference(X0,X1),X2),empty_set)),X0) | empty_set = union(intersection(difference(X0,X1),X2),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53899,f62])). 83.95/12.26 tff(f218233,plain,( 83.95/12.26 spl19_779 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f218224,f1281,f264,f150,f98,f218231])). 83.95/12.26 tff(f218231,plain,( 83.95/12.26 spl19_779 <=> empty_set = union(difference(complement(sF14),complement(sF13)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_779])])). 83.95/12.26 tff(f218224,plain,( 83.95/12.26 empty_set = union(difference(complement(sF14),complement(sF13)),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f218201])). 83.95/12.26 tff(f218201,plain,( 83.95/12.26 empty_set = union(difference(complement(sF14),complement(sF13)),empty_set) | empty_set = union(difference(complement(sF14),complement(sF13)),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f59139,f54309])). 83.95/12.26 tff(f59139,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(difference(X0,complement(sF13)),empty_set)),sF14) | empty_set = union(difference(X0,complement(sF13)),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54292,f239])). 83.95/12.26 tff(f239,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF13) | member(X0,sF14)) ) | ~spl19_16), 83.95/12.26 inference(superposition,[],[f53,f151])). 83.95/12.26 tff(f218199,plain,( 83.95/12.26 spl19_778 | ~spl19_20 | ~spl19_772), 83.95/12.26 inference(avatar_split_clause,[],[f218189,f217873,f181,f218197])). 83.95/12.26 tff(f218197,plain,( 83.95/12.26 spl19_778 <=> 0 = cardinality(difference(sF13,complement(sF11)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_778])])). 83.95/12.26 tff(f217873,plain,( 83.95/12.26 spl19_772 <=> empty_set = union(difference(sF13,complement(sF11)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_772])])). 83.95/12.26 tff(f218189,plain,( 83.95/12.26 0 = cardinality(difference(sF13,complement(sF11))) | (~spl19_20 | ~spl19_772)), 83.95/12.26 inference(forward_demodulation,[],[f218145,f182])). 83.95/12.26 tff(f218145,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(difference(sF13,complement(sF11))) | (~spl19_20 | ~spl19_772)), 83.95/12.26 inference(superposition,[],[f6110,f217874])). 83.95/12.26 tff(f217874,plain,( 83.95/12.26 empty_set = union(difference(sF13,complement(sF11)),empty_set) | ~spl19_772), 83.95/12.26 inference(avatar_component_clause,[],[f217873])). 83.95/12.26 tff(f218140,plain,( 83.95/12.26 spl19_777 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f218136,f1281,f264,f150,f98,f218138])). 83.95/12.26 tff(f218138,plain,( 83.95/12.26 spl19_777 <=> empty_set = union(difference(complement(sF14),complement(sF12)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_777])])). 83.95/12.26 tff(f218136,plain,( 83.95/12.26 empty_set = union(difference(complement(sF14),complement(sF12)),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f218111])). 83.95/12.26 tff(f218111,plain,( 83.95/12.26 empty_set = union(difference(complement(sF14),complement(sF12)),empty_set) | empty_set = union(difference(complement(sF14),complement(sF12)),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f59135,f54309])). 83.95/12.26 tff(f59135,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(difference(X0,complement(sF12)),empty_set)),sF14) | empty_set = union(difference(X0,complement(sF12)),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54292,f244])). 83.95/12.26 tff(f218072,plain,( 83.95/12.26 spl19_776 | ~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f218068,f1281,f264,f146,f98,f218070])). 83.95/12.26 tff(f218070,plain,( 83.95/12.26 spl19_776 <=> empty_set = union(difference(complement(sF12),complement(sF11)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_776])])). 83.95/12.26 tff(f218068,plain,( 83.95/12.26 empty_set = union(difference(complement(sF12),complement(sF11)),empty_set) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f218037])). 83.95/12.26 tff(f218037,plain,( 83.95/12.26 empty_set = union(difference(complement(sF12),complement(sF11)),empty_set) | empty_set = union(difference(complement(sF12),complement(sF11)),empty_set) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f59133,f54309])). 83.95/12.26 tff(f59133,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(difference(X0,complement(sF11)),empty_set)),sF12) | empty_set = union(difference(X0,complement(sF11)),empty_set)) ) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54292,f237])). 83.95/12.26 tff(f218032,plain,( 83.95/12.26 spl19_775 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f217860,f1281,f264,f158,f98,f218030])). 83.95/12.26 tff(f217860,plain,( 83.95/12.26 empty_set = union(difference(complement(sF18),complement(sF11)),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f217835])). 83.95/12.26 tff(f217835,plain,( 83.95/12.26 empty_set = union(difference(complement(sF18),complement(sF11)),empty_set) | empty_set = union(difference(complement(sF18),complement(sF11)),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f59132,f54309])). 83.95/12.26 tff(f59132,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(difference(X0,complement(sF11)),empty_set)),sF18) | empty_set = union(difference(X0,complement(sF11)),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54292,f238])). 83.95/12.26 tff(f217883,plain,( 83.95/12.26 spl19_774 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64), 83.95/12.26 inference(avatar_split_clause,[],[f217184,f1429,f1281,f264,f98,f217881])). 83.95/12.26 tff(f217184,plain,( 83.95/12.26 empty_set = union(difference(complement(sF8),complement(sF9)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(duplicate_literal_removal,[],[f217151])). 83.95/12.26 tff(f217151,plain,( 83.95/12.26 empty_set = union(difference(complement(sF8),complement(sF9)),empty_set) | empty_set = union(difference(complement(sF8),complement(sF9)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(resolution,[],[f59128,f54309])). 83.95/12.26 tff(f59128,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(difference(X0,complement(sF9)),empty_set)),sF8) | empty_set = union(difference(X0,complement(sF9)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(resolution,[],[f54292,f2677])). 83.95/12.26 tff(f217879,plain,( 83.95/12.26 spl19_773 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_769), 83.95/12.26 inference(avatar_split_clause,[],[f217762,f217663,f1281,f264,f98,f217877])). 83.95/12.26 tff(f217877,plain,( 83.95/12.26 spl19_773 <=> empty_set = difference(difference(sF9,complement(sF11)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_773])])). 83.95/12.26 tff(f217663,plain,( 83.95/12.26 spl19_769 <=> empty_set = union(difference(sF9,complement(sF11)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_769])])). 83.95/12.26 tff(f217762,plain,( 83.95/12.26 empty_set = difference(difference(sF9,complement(sF11)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_769)), 83.95/12.26 inference(superposition,[],[f63946,f217664])). 83.95/12.26 tff(f217664,plain,( 83.95/12.26 empty_set = union(difference(sF9,complement(sF11)),empty_set) | ~spl19_769), 83.95/12.26 inference(avatar_component_clause,[],[f217663])). 83.95/12.26 tff(f217875,plain,( 83.95/12.26 spl19_772 | ~spl19_3 | ~spl19_10 | ~spl19_18 | ~spl19_26 | ~spl19_61 | spl19_147), 83.95/12.26 inference(avatar_split_clause,[],[f217865,f52209,f1281,f264,f158,f126,f98,f217873])). 83.95/12.26 tff(f217865,plain,( 83.95/12.26 empty_set = union(difference(sF13,complement(sF11)),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_18 | ~spl19_26 | ~spl19_61 | spl19_147)), 83.95/12.26 inference(subsumption_resolution,[],[f217858,f84082])). 83.95/12.26 tff(f217858,plain,( 83.95/12.26 empty_set = union(difference(sF13,complement(sF11)),empty_set) | member(sK7,sF18) | (~spl19_3 | ~spl19_10 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f217855])). 83.95/12.26 tff(f217855,plain,( 83.95/12.26 member(sK7,sF18) | empty_set = union(difference(sF13,complement(sF11)),empty_set) | empty_set = union(difference(sF13,complement(sF11)),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f59132,f54326])). 83.95/12.26 tff(f217871,plain,( 83.95/12.26 spl19_771 | ~spl19_769), 83.95/12.26 inference(avatar_split_clause,[],[f217788,f217663,f217869])). 83.95/12.26 tff(f217869,plain,( 83.95/12.26 spl19_771 <=> empty_set = difference(sF9,complement(sF11))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_771])])). 83.95/12.26 tff(f217788,plain,( 83.95/12.26 empty_set = difference(sF9,complement(sF11)) | ~spl19_769), 83.95/12.26 inference(resolution,[],[f217786,f59])). 83.95/12.26 tff(f217786,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,difference(sF9,complement(sF11)))) ) | ~spl19_769), 83.95/12.26 inference(subsumption_resolution,[],[f217739,f162])). 83.95/12.26 tff(f217739,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,difference(sF9,complement(sF11))) | member(X0,empty_set)) ) | ~spl19_769), 83.95/12.26 inference(superposition,[],[f54,f217664])). 83.95/12.26 tff(f217723,plain,( 83.95/12.26 spl19_770 | ~spl19_20 | ~spl19_768), 83.95/12.26 inference(avatar_split_clause,[],[f217719,f217624,f181,f217721])). 83.95/12.26 tff(f217721,plain,( 83.95/12.26 spl19_770 <=> 0 = cardinality(difference(sF8,complement(sF11)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_770])])). 83.95/12.26 tff(f217624,plain,( 83.95/12.26 spl19_768 <=> empty_set = union(difference(sF8,complement(sF11)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_768])])). 83.95/12.26 tff(f217719,plain,( 83.95/12.26 0 = cardinality(difference(sF8,complement(sF11))) | (~spl19_20 | ~spl19_768)), 83.95/12.26 inference(forward_demodulation,[],[f217670,f182])). 83.95/12.26 tff(f217670,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(difference(sF8,complement(sF11))) | (~spl19_20 | ~spl19_768)), 83.95/12.26 inference(superposition,[],[f6110,f217625])). 83.95/12.26 tff(f217625,plain,( 83.95/12.26 empty_set = union(difference(sF8,complement(sF11)),empty_set) | ~spl19_768), 83.95/12.26 inference(avatar_component_clause,[],[f217624])). 83.95/12.26 tff(f217666,plain,( 83.95/12.26 spl19_769 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_64 | ~spl19_141), 83.95/12.26 inference(avatar_split_clause,[],[f217660,f51939,f1429,f1281,f488,f264,f118,f98,f217663])). 83.95/12.26 tff(f217660,plain,( 83.95/12.26 empty_set = union(difference(sF9,complement(sF11)),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_64 | ~spl19_141)), 83.95/12.26 inference(subsumption_resolution,[],[f217658,f489])). 83.95/12.26 tff(f217658,plain,( 83.95/12.26 empty_set = union(difference(sF9,complement(sF11)),empty_set) | ~member(sK1,sF9) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_141)), 83.95/12.26 inference(duplicate_literal_removal,[],[f217645])). 83.95/12.26 tff(f217645,plain,( 83.95/12.26 empty_set = union(difference(sF9,complement(sF11)),empty_set) | empty_set = union(difference(sF9,complement(sF11)),empty_set) | ~member(sK1,sF9) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_141)), 83.95/12.26 inference(superposition,[],[f59131,f56995])). 83.95/12.26 tff(f56995,plain,( 83.95/12.26 ( ! [X0 : set] : (sK1 = sK0(union(difference(sF9,X0),empty_set)) | empty_set = union(difference(sF9,X0),empty_set)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(resolution,[],[f54317,f204])). 83.95/12.26 tff(f54317,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF9,X0),empty_set)),sF8) | empty_set = union(difference(sF9,X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(resolution,[],[f53902,f2677])). 83.95/12.26 tff(f59131,plain,( 83.95/12.26 ( ! [X0 : set] : (~member(sK0(union(difference(X0,complement(sF11)),empty_set)),sF9) | empty_set = union(difference(X0,complement(sF11)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(resolution,[],[f54292,f51950])). 83.95/12.26 tff(f217665,plain,( 83.95/12.26 spl19_769 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141), 83.95/12.26 inference(avatar_split_clause,[],[f217656,f51939,f1281,f264,f98,f217663])). 83.95/12.26 tff(f217656,plain,( 83.95/12.26 empty_set = union(difference(sF9,complement(sF11)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(duplicate_literal_removal,[],[f217627])). 83.95/12.26 tff(f217627,plain,( 83.95/12.26 empty_set = union(difference(sF9,complement(sF11)),empty_set) | empty_set = union(difference(sF9,complement(sF11)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(resolution,[],[f59131,f53902])). 83.95/12.26 tff(f217626,plain,( 83.95/12.26 spl19_768 | ~spl19_3 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f217622,f1281,f264,f138,f122,f106,f102,f98,f217624])). 83.95/12.26 tff(f217622,plain,( 83.95/12.26 empty_set = union(difference(sF8,complement(sF11)),empty_set) | (~spl19_3 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f217590,f103])). 83.95/12.26 tff(f217590,plain,( 83.95/12.26 member(sK6,sK5) | empty_set = union(difference(sF8,complement(sF11)),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f217566])). 83.95/12.26 tff(f217566,plain,( 83.95/12.26 member(sK6,sK5) | empty_set = union(difference(sF8,complement(sF11)),empty_set) | empty_set = union(difference(sF8,complement(sF11)),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f56403,f59129])). 83.95/12.26 tff(f59129,plain,( 83.95/12.26 ( ! [X0 : set] : (sK6 = sK0(union(difference(X0,complement(sF11)),empty_set)) | empty_set = union(difference(X0,complement(sF11)),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54292,f205])). 83.95/12.26 tff(f217145,plain,( 83.95/12.26 spl19_767 | ~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f217136,f1281,f264,f106,f98,f217143])). 83.95/12.26 tff(f217136,plain,( 83.95/12.26 empty_set = union(difference(complement(sK5),complement(sF9)),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f217107])). 83.95/12.26 tff(f217107,plain,( 83.95/12.26 empty_set = union(difference(complement(sK5),complement(sF9)),empty_set) | empty_set = union(difference(complement(sK5),complement(sF9)),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f59125,f54309])). 83.95/12.26 tff(f59125,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(difference(X0,complement(sF9)),empty_set)),sK5) | empty_set = union(difference(X0,complement(sF9)),empty_set)) ) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54292,f271])). 83.95/12.26 tff(f217069,plain,( 83.95/12.26 ~spl19_766 | ~spl19_145 | ~spl19_711), 83.95/12.26 inference(avatar_split_clause,[],[f207674,f201152,f52201,f217067])). 83.95/12.26 tff(f217067,plain,( 83.95/12.26 spl19_766 <=> member(sK0(union(union(sK5,sF9),empty_set)),sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_766])])). 83.95/12.26 tff(f201152,plain,( 83.95/12.26 spl19_711 <=> member(sK0(union(union(sK5,sF9),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_711])])). 83.95/12.26 tff(f207674,plain,( 83.95/12.26 ~member(sK0(union(union(sK5,sF9),empty_set)),sF13) | (~spl19_145 | ~spl19_711)), 83.95/12.26 inference(resolution,[],[f201153,f52220])). 83.95/12.26 tff(f201153,plain,( 83.95/12.26 member(sK0(union(union(sK5,sF9),empty_set)),sF18) | ~spl19_711), 83.95/12.26 inference(avatar_component_clause,[],[f201152])). 83.95/12.26 tff(f217065,plain,( 83.95/12.26 spl19_700 | ~spl19_16 | ~spl19_702), 83.95/12.26 inference(avatar_split_clause,[],[f207253,f199693,f150,f199684])). 83.95/12.26 tff(f207253,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF14) | (~spl19_16 | ~spl19_702)), 83.95/12.26 inference(resolution,[],[f199694,f244])). 83.95/12.26 tff(f217058,plain,( 83.95/12.26 spl19_703 | ~spl19_7 | ~spl19_699), 83.95/12.26 inference(avatar_split_clause,[],[f206800,f199680,f114,f199843])). 83.95/12.26 tff(f199843,plain,( 83.95/12.26 spl19_703 <=> member(sK0(union(union(sF9,sF8),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_703])])). 83.95/12.26 tff(f206800,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sK2) | (~spl19_7 | ~spl19_699)), 83.95/12.26 inference(resolution,[],[f199681,f272])). 83.95/12.26 tff(f199681,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF18) | ~spl19_699), 83.95/12.26 inference(avatar_component_clause,[],[f199680])). 83.95/12.26 tff(f217057,plain,( 83.95/12.26 ~spl19_765 | ~spl19_145 | ~spl19_699), 83.95/12.26 inference(avatar_split_clause,[],[f206798,f199680,f52201,f217055])). 83.95/12.26 tff(f206798,plain,( 83.95/12.26 ~member(sK0(union(union(sF9,sF8),empty_set)),sF13) | (~spl19_145 | ~spl19_699)), 83.95/12.26 inference(resolution,[],[f199681,f52220])). 83.95/12.26 tff(f214846,plain,( 83.95/12.26 spl19_764 | ~spl19_20 | ~spl19_762), 83.95/12.26 inference(avatar_split_clause,[],[f214836,f214766,f181,f214844])). 83.95/12.26 tff(f214844,plain,( 83.95/12.26 spl19_764 <=> 0 = cardinality(difference(sF13,complement(sF8)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_764])])). 83.95/12.26 tff(f214766,plain,( 83.95/12.26 spl19_762 <=> empty_set = union(difference(sF13,complement(sF8)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_762])])). 83.95/12.26 tff(f214836,plain,( 83.95/12.26 0 = cardinality(difference(sF13,complement(sF8))) | (~spl19_20 | ~spl19_762)), 83.95/12.26 inference(forward_demodulation,[],[f214789,f182])). 83.95/12.26 tff(f214789,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(difference(sF13,complement(sF8))) | (~spl19_20 | ~spl19_762)), 83.95/12.26 inference(superposition,[],[f6110,f214767])). 83.95/12.26 tff(f214767,plain,( 83.95/12.26 empty_set = union(difference(sF13,complement(sF8)),empty_set) | ~spl19_762), 83.95/12.26 inference(avatar_component_clause,[],[f214766])). 83.95/12.26 tff(f214842,plain,( 83.95/12.26 spl19_763 | ~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f214699,f1281,f264,f138,f98,f214840])). 83.95/12.26 tff(f214699,plain,( 83.95/12.26 empty_set = union(difference(complement(sF9),complement(sF8)),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f214669])). 83.95/12.26 tff(f214669,plain,( 83.95/12.26 empty_set = union(difference(complement(sF9),complement(sF8)),empty_set) | empty_set = union(difference(complement(sF9),complement(sF8)),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f59122,f54309])). 83.95/12.26 tff(f59122,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(difference(X0,complement(sF8)),empty_set)),sF9) | empty_set = union(difference(X0,complement(sF8)),empty_set)) ) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54292,f235])). 83.95/12.26 tff(f214768,plain,( 83.95/12.26 spl19_762 | ~spl19_3 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61 | spl19_161), 83.95/12.26 inference(avatar_split_clause,[],[f214703,f52588,f1281,f264,f138,f126,f98,f214766])). 83.95/12.26 tff(f214703,plain,( 83.95/12.26 empty_set = union(difference(sF13,complement(sF8)),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61 | spl19_161)), 83.95/12.26 inference(subsumption_resolution,[],[f214698,f52589])). 83.95/12.26 tff(f214698,plain,( 83.95/12.26 member(sK7,sF9) | empty_set = union(difference(sF13,complement(sF8)),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f214692])). 83.95/12.26 tff(f214692,plain,( 83.95/12.26 member(sK7,sF9) | empty_set = union(difference(sF13,complement(sF8)),empty_set) | empty_set = union(difference(sF13,complement(sF8)),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f59122,f54326])). 83.95/12.26 tff(f214764,plain,( 83.95/12.26 spl19_761 | ~spl19_20 | ~spl19_760), 83.95/12.26 inference(avatar_split_clause,[],[f214757,f214705,f181,f214762])). 83.95/12.26 tff(f214762,plain,( 83.95/12.26 spl19_761 <=> 0 = cardinality(difference(sF11,complement(sF8)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_761])])). 83.95/12.26 tff(f214705,plain,( 83.95/12.26 spl19_760 <=> empty_set = union(difference(sF11,complement(sF8)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_760])])). 83.95/12.26 tff(f214757,plain,( 83.95/12.26 0 = cardinality(difference(sF11,complement(sF8))) | (~spl19_20 | ~spl19_760)), 83.95/12.26 inference(forward_demodulation,[],[f214711,f182])). 83.95/12.26 tff(f214711,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(difference(sF11,complement(sF8))) | (~spl19_20 | ~spl19_760)), 83.95/12.26 inference(superposition,[],[f6110,f214706])). 83.95/12.26 tff(f214706,plain,( 83.95/12.26 empty_set = union(difference(sF11,complement(sF8)),empty_set) | ~spl19_760), 83.95/12.26 inference(avatar_component_clause,[],[f214705])). 83.95/12.26 tff(f214707,plain,( 83.95/12.26 spl19_760 | ~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_141), 83.95/12.26 inference(avatar_split_clause,[],[f214696,f51939,f1281,f264,f138,f98,f214705])). 83.95/12.26 tff(f214696,plain,( 83.95/12.26 empty_set = union(difference(sF11,complement(sF8)),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(duplicate_literal_removal,[],[f214668])). 83.95/12.26 tff(f214668,plain,( 83.95/12.26 empty_set = union(difference(sF11,complement(sF8)),empty_set) | empty_set = union(difference(sF11,complement(sF8)),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(resolution,[],[f59122,f54318])). 83.95/12.26 tff(f54318,plain,( 83.95/12.26 ( ! [X0 : set] : (~member(sK0(union(difference(sF11,X0),empty_set)),sF9) | empty_set = union(difference(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(resolution,[],[f53902,f51950])). 83.95/12.26 tff(f213551,plain,( 83.95/12.26 spl19_759 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f213533,f1281,f264,f158,f98,f213549])). 83.95/12.26 tff(f213533,plain,( 83.95/12.26 empty_set = union(difference(complement(sF18),complement(sK5)),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f213505])). 83.95/12.26 tff(f213505,plain,( 83.95/12.26 empty_set = union(difference(complement(sF18),complement(sK5)),empty_set) | empty_set = union(difference(complement(sF18),complement(sK5)),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f59120,f54309])). 83.95/12.26 tff(f59120,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(difference(X0,complement(sK5)),empty_set)),sF18) | empty_set = union(difference(X0,complement(sK5)),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54292,f243])). 83.95/12.26 tff(f211132,plain,( 83.95/12.26 spl19_758 | ~spl19_745), 83.95/12.26 inference(avatar_split_clause,[],[f211070,f204975,f211130])). 83.95/12.26 tff(f204975,plain,( 83.95/12.26 spl19_745 <=> empty_set = union(intersection(complement(sF18),sF12),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_745])])). 83.95/12.26 tff(f211070,plain,( 83.95/12.26 empty_set = intersection(complement(sF18),sF12) | ~spl19_745), 83.95/12.26 inference(resolution,[],[f211065,f59])). 83.95/12.26 tff(f211065,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(complement(sF18),sF12))) ) | ~spl19_745), 83.95/12.26 inference(subsumption_resolution,[],[f211027,f162])). 83.95/12.26 tff(f211027,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,intersection(complement(sF18),sF12))) ) | ~spl19_745), 83.95/12.26 inference(superposition,[],[f54,f204976])). 83.95/12.26 tff(f204976,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF18),sF12),empty_set) | ~spl19_745), 83.95/12.26 inference(avatar_component_clause,[],[f204975])). 83.95/12.26 tff(f211125,plain,( 83.95/12.26 spl19_757 | ~spl19_505 | ~spl19_682 | ~spl19_736), 83.95/12.26 inference(avatar_split_clause,[],[f210958,f203724,f197766,f99485,f211123])). 83.95/12.26 tff(f210958,plain,( 83.95/12.26 member(sK0(union(difference(sF14,sF13),empty_set)),sK2) | (~spl19_505 | ~spl19_682 | ~spl19_736)), 83.95/12.26 inference(resolution,[],[f210890,f197767])). 83.95/12.26 tff(f211121,plain,( 83.95/12.26 spl19_703 | ~spl19_505 | ~spl19_702 | ~spl19_736), 83.95/12.26 inference(avatar_split_clause,[],[f210956,f203724,f199693,f99485,f199843])). 83.95/12.26 tff(f210956,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sK2) | (~spl19_505 | ~spl19_702 | ~spl19_736)), 83.95/12.26 inference(resolution,[],[f210890,f199694])). 83.95/12.26 tff(f211120,plain,( 83.95/12.26 spl19_756 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_745), 83.95/12.26 inference(avatar_split_clause,[],[f211050,f204975,f1281,f264,f98,f211118])). 83.95/12.26 tff(f211118,plain,( 83.95/12.26 spl19_756 <=> empty_set = difference(intersection(complement(sF18),sF12),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_756])])). 83.95/12.26 tff(f211050,plain,( 83.95/12.26 empty_set = difference(intersection(complement(sF18),sF12),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_745)), 83.95/12.26 inference(superposition,[],[f63946,f204976])). 83.95/12.26 tff(f211023,plain,( 83.95/12.26 spl19_755 | ~spl19_16 | ~spl19_717), 83.95/12.26 inference(avatar_split_clause,[],[f204090,f201823,f150,f211021])). 83.95/12.26 tff(f211021,plain,( 83.95/12.26 spl19_755 <=> member(sK0(union(union(sF12,sF11),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_755])])). 83.95/12.26 tff(f204090,plain,( 83.95/12.26 member(sK0(union(union(sF12,sF11),empty_set)),sF14) | (~spl19_16 | ~spl19_717)), 83.95/12.26 inference(resolution,[],[f201824,f244])). 83.95/12.26 tff(f211019,plain,( 83.95/12.26 spl19_754 | ~spl19_505 | ~spl19_717 | ~spl19_736), 83.95/12.26 inference(avatar_split_clause,[],[f210955,f203724,f201823,f99485,f211017])). 83.95/12.26 tff(f210955,plain,( 83.95/12.26 member(sK0(union(union(sF12,sF11),empty_set)),sK2) | (~spl19_505 | ~spl19_717 | ~spl19_736)), 83.95/12.26 inference(resolution,[],[f210890,f201824])). 83.95/12.26 tff(f211015,plain,( 83.95/12.26 spl19_753 | ~spl19_505 | ~spl19_705 | ~spl19_736), 83.95/12.26 inference(avatar_split_clause,[],[f210954,f203724,f200704,f99485,f211013])). 83.95/12.26 tff(f210954,plain,( 83.95/12.26 member(sK0(union(union(sF12,sF9),empty_set)),sK2) | (~spl19_505 | ~spl19_705 | ~spl19_736)), 83.95/12.26 inference(resolution,[],[f210890,f200705])). 83.95/12.26 tff(f210944,plain,( 83.95/12.26 ~spl19_752 | ~spl19_507 | ~spl19_736), 83.95/12.26 inference(avatar_split_clause,[],[f210892,f203724,f105179,f210942])). 83.95/12.26 tff(f210942,plain,( 83.95/12.26 spl19_752 <=> member(sK0(complement(sK2)),sF12)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_752])])). 83.95/12.26 tff(f210892,plain,( 83.95/12.26 ~member(sK0(complement(sK2)),sF12) | (~spl19_507 | ~spl19_736)), 83.95/12.26 inference(resolution,[],[f210504,f105180])). 83.95/12.26 tff(f210557,plain,( 83.95/12.26 spl19_751 | ~spl19_736), 83.95/12.26 inference(avatar_split_clause,[],[f210505,f203724,f210555])). 83.95/12.26 tff(f210505,plain,( 83.95/12.26 empty_set = intersection(sF12,complement(sF18)) | ~spl19_736), 83.95/12.26 inference(resolution,[],[f210355,f59])). 83.95/12.26 tff(f209971,plain,( 83.95/12.26 spl19_750 | ~spl19_7 | ~spl19_715), 83.95/12.26 inference(avatar_split_clause,[],[f203722,f201816,f114,f209969])). 83.95/12.26 tff(f209969,plain,( 83.95/12.26 spl19_750 <=> member(sK0(union(union(sF18,sF11),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_750])])). 83.95/12.26 tff(f201816,plain,( 83.95/12.26 spl19_715 <=> member(sK0(union(union(sF18,sF11),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_715])])). 83.95/12.26 tff(f203722,plain,( 83.95/12.26 member(sK0(union(union(sF18,sF11),empty_set)),sK2) | (~spl19_7 | ~spl19_715)), 83.95/12.26 inference(resolution,[],[f201817,f272])). 83.95/12.26 tff(f201817,plain,( 83.95/12.26 member(sK0(union(union(sF18,sF11),empty_set)),sF18) | ~spl19_715), 83.95/12.26 inference(avatar_component_clause,[],[f201816])). 83.95/12.26 tff(f209967,plain,( 83.95/12.26 ~spl19_749 | ~spl19_145 | ~spl19_715), 83.95/12.26 inference(avatar_split_clause,[],[f203720,f201816,f52201,f209965])). 83.95/12.26 tff(f209965,plain,( 83.95/12.26 spl19_749 <=> member(sK0(union(union(sF18,sF11),empty_set)),sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_749])])). 83.95/12.26 tff(f203720,plain,( 83.95/12.26 ~member(sK0(union(union(sF18,sF11),empty_set)),sF13) | (~spl19_145 | ~spl19_715)), 83.95/12.26 inference(resolution,[],[f201817,f52220])). 83.95/12.26 tff(f209876,plain,( 83.95/12.26 spl19_748 | ~spl19_8 | ~spl19_713), 83.95/12.26 inference(avatar_split_clause,[],[f203695,f201719,f118,f209874])). 83.95/12.26 tff(f209874,plain,( 83.95/12.26 spl19_748 <=> sK1 = sK0(union(union(sF8,sF9),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_748])])). 83.95/12.26 tff(f201719,plain,( 83.95/12.26 spl19_713 <=> member(sK0(union(union(sF8,sF9),empty_set)),sF8)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_713])])). 83.95/12.26 tff(f203695,plain,( 83.95/12.26 sK1 = sK0(union(union(sF8,sF9),empty_set)) | (~spl19_8 | ~spl19_713)), 83.95/12.26 inference(resolution,[],[f201720,f204])). 83.95/12.26 tff(f201720,plain,( 83.95/12.26 member(sK0(union(union(sF8,sF9),empty_set)),sF8) | ~spl19_713), 83.95/12.26 inference(avatar_component_clause,[],[f201719])). 83.95/12.26 tff(f209871,plain,( 83.95/12.26 spl19_747 | ~spl19_13 | ~spl19_713), 83.95/12.26 inference(avatar_split_clause,[],[f203694,f201719,f138,f209869])). 83.95/12.26 tff(f203694,plain,( 83.95/12.26 member(sK0(union(union(sF8,sF9),empty_set)),sF9) | (~spl19_13 | ~spl19_713)), 83.95/12.26 inference(resolution,[],[f201720,f235])). 83.95/12.26 tff(f204983,plain,( 83.95/12.26 spl19_746 | ~spl19_743), 83.95/12.26 inference(avatar_split_clause,[],[f204927,f204855,f204981])). 83.95/12.26 tff(f204927,plain,( 83.95/12.26 empty_set = difference(sF12,sF18) | ~spl19_743), 83.95/12.26 inference(resolution,[],[f204918,f59])). 83.95/12.26 tff(f204977,plain,( 83.95/12.26 spl19_745 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95), 83.95/12.26 inference(avatar_split_clause,[],[f204881,f5373,f1443,f1281,f264,f158,f98,f204975])). 83.95/12.26 tff(f204881,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF18),sF12),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.95/12.26 inference(duplicate_literal_removal,[],[f204858])). 83.95/12.26 tff(f204858,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF18),sF12),empty_set) | empty_set = union(intersection(complement(sF18),sF12),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.95/12.26 inference(resolution,[],[f64844,f54250])). 83.95/12.26 tff(f64844,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF12),empty_set)),sF18) | empty_set = union(intersection(X0,sF12),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.95/12.26 inference(subsumption_resolution,[],[f64826,f5437])). 83.95/12.26 tff(f64826,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF12),empty_set)),sF9) | member(sK0(union(intersection(X0,sF12),empty_set)),sF18) | empty_set = union(intersection(X0,sF12),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54953,f238])). 83.95/12.26 tff(f204925,plain,( 83.95/12.26 spl19_744 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_743), 83.95/12.26 inference(avatar_split_clause,[],[f204909,f204855,f1281,f264,f98,f204923])). 83.95/12.26 tff(f204909,plain,( 83.95/12.26 empty_set = difference(difference(sF12,sF18),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_743)), 83.95/12.26 inference(superposition,[],[f63946,f204856])). 83.95/12.26 tff(f204857,plain,( 83.95/12.26 spl19_743 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95), 83.95/12.26 inference(avatar_split_clause,[],[f204488,f5373,f1443,f1281,f264,f158,f98,f204855])). 83.95/12.26 tff(f204488,plain,( 83.95/12.26 empty_set = union(difference(sF12,sF18),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.95/12.26 inference(duplicate_literal_removal,[],[f204474])). 83.95/12.26 tff(f204474,plain,( 83.95/12.26 empty_set = union(difference(sF12,sF18),empty_set) | empty_set = union(difference(sF12,sF18),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.95/12.26 inference(resolution,[],[f64818,f53901])). 83.95/12.26 tff(f204315,plain,( 83.95/12.26 spl19_742 | ~spl19_20 | ~spl19_740), 83.95/12.26 inference(avatar_split_clause,[],[f204147,f204105,f181,f204313])). 83.95/12.26 tff(f204313,plain,( 83.95/12.26 spl19_742 <=> 0 = cardinality(difference(sF12,sF11))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_742])])). 83.95/12.26 tff(f204105,plain,( 83.95/12.26 spl19_740 <=> empty_set = union(difference(sF12,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_740])])). 83.95/12.26 tff(f204147,plain,( 83.95/12.26 0 = cardinality(difference(sF12,sF11)) | (~spl19_20 | ~spl19_740)), 83.95/12.26 inference(forward_demodulation,[],[f204113,f182])). 83.95/12.26 tff(f204113,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(difference(sF12,sF11)) | (~spl19_20 | ~spl19_740)), 83.95/12.26 inference(superposition,[],[f6110,f204106])). 83.95/12.26 tff(f204106,plain,( 83.95/12.26 empty_set = union(difference(sF12,sF11),empty_set) | ~spl19_740), 83.95/12.26 inference(avatar_component_clause,[],[f204105])). 83.95/12.26 tff(f204110,plain,( 83.95/12.26 spl19_740 | spl19_741 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.26 inference(avatar_split_clause,[],[f64816,f1443,f1281,f264,f98,f204108,f204105])). 83.95/12.26 tff(f64816,plain,( 83.95/12.26 empty_set = union(difference(sF12,sF11),empty_set) | member(sK0(union(difference(sF12,sF11),empty_set)),sF9) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(duplicate_literal_removal,[],[f64803])). 83.95/12.26 tff(f64803,plain,( 83.95/12.26 empty_set = union(difference(sF12,sF11),empty_set) | member(sK0(union(difference(sF12,sF11),empty_set)),sF9) | empty_set = union(difference(sF12,sF11),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54947,f53901])). 83.95/12.26 tff(f204103,plain,( 83.95/12.26 spl19_739 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_713), 83.95/12.26 inference(avatar_split_clause,[],[f203692,f201719,f1281,f540,f264,f118,f98,f204101])). 83.95/12.26 tff(f203692,plain,( 83.95/12.26 member(sK0(union(union(sF8,sF9),empty_set)),sK2) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_713)), 83.95/12.26 inference(resolution,[],[f201720,f59335])). 83.95/12.26 tff(f204099,plain,( 83.95/12.26 spl19_738 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_42 | ~spl19_61 | ~spl19_713), 83.95/12.26 inference(avatar_split_clause,[],[f203691,f201719,f1281,f493,f264,f118,f98,f204097])). 83.95/12.26 tff(f203691,plain,( 83.95/12.26 member(sK0(union(union(sF8,sF9),empty_set)),sK5) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_42 | ~spl19_61 | ~spl19_713)), 83.95/12.26 inference(resolution,[],[f201720,f59336])). 83.95/12.26 tff(f59336,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF8) | member(X0,sK5)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_42 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f59282,f494])). 83.95/12.26 tff(f203730,plain,( 83.95/12.26 spl19_737 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_713), 83.95/12.26 inference(avatar_split_clause,[],[f203690,f201719,f1281,f535,f264,f118,f98,f203728])). 83.95/12.26 tff(f203690,plain,( 83.95/12.26 member(sK0(union(union(sF8,sF9),empty_set)),sF18) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_713)), 83.95/12.26 inference(resolution,[],[f201720,f59341])). 83.95/12.26 tff(f203726,plain,( 83.95/12.26 spl19_736 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95), 83.95/12.26 inference(avatar_split_clause,[],[f203719,f5373,f1443,f1281,f264,f158,f98,f203724])). 83.95/12.26 tff(f203719,plain,( 83.95/12.26 empty_set = union(intersection(sF12,complement(sF18)),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.95/12.26 inference(duplicate_literal_removal,[],[f203696])). 83.95/12.26 tff(f203696,plain,( 83.95/12.26 empty_set = union(intersection(sF12,complement(sF18)),empty_set) | empty_set = union(intersection(sF12,complement(sF18)),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.95/12.26 inference(resolution,[],[f64802,f54208])). 83.95/12.26 tff(f64802,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sF12,X0),empty_set)),sF18) | empty_set = union(intersection(sF12,X0),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_95)), 83.95/12.26 inference(subsumption_resolution,[],[f64784,f5437])). 83.95/12.26 tff(f64784,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sF12,X0),empty_set)),sF18) | member(sK0(union(intersection(sF12,X0),empty_set)),sF9) | empty_set = union(intersection(sF12,X0),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54946,f238])). 83.95/12.26 tff(f203675,plain,( 83.95/12.26 ~spl19_693 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203581])). 83.95/12.26 tff(f203581,plain,( 83.95/12.26 $false | (~spl19_693 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f199657])). 83.95/12.26 tff(f199657,plain,( 83.95/12.26 member(sK0(union(difference(sF18,sF11),empty_set)),sK2) | ~spl19_693), 83.95/12.26 inference(avatar_component_clause,[],[f199656])). 83.95/12.26 tff(f199656,plain,( 83.95/12.26 spl19_693 <=> member(sK0(union(difference(sF18,sF11),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_693])])). 83.95/12.26 tff(f203503,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sK2)) ) | ~spl19_734), 83.95/12.26 inference(resolution,[],[f203490,f54])). 83.95/12.26 tff(f203490,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sK2,sF18))) ) | ~spl19_734), 83.95/12.26 inference(subsumption_resolution,[],[f203459,f162])). 83.95/12.26 tff(f203459,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sK2,sF18)) | member(X0,empty_set)) ) | ~spl19_734), 83.95/12.26 inference(superposition,[],[f54,f203451])). 83.95/12.26 tff(f203451,plain,( 83.95/12.26 empty_set = union(union(sK2,sF18),empty_set) | ~spl19_734), 83.95/12.26 inference(avatar_component_clause,[],[f203450])). 83.95/12.26 tff(f203450,plain,( 83.95/12.26 spl19_734 <=> empty_set = union(union(sK2,sF18),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_734])])). 83.95/12.26 tff(f203674,plain,( 83.95/12.26 ~spl19_595 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203582])). 83.95/12.26 tff(f203582,plain,( 83.95/12.26 $false | (~spl19_595 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f150527])). 83.95/12.26 tff(f150527,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF18)),empty_set)),sK2) | ~spl19_595), 83.95/12.26 inference(avatar_component_clause,[],[f150526])). 83.95/12.26 tff(f150526,plain,( 83.95/12.26 spl19_595 <=> member(sK0(union(complement(complement(sF18)),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_595])])). 83.95/12.26 tff(f203673,plain,( 83.95/12.26 ~spl19_681 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203577])). 83.95/12.26 tff(f203577,plain,( 83.95/12.26 $false | (~spl19_681 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f196717])). 83.95/12.26 tff(f196717,plain,( 83.95/12.26 member(sK0(union(union(sF18,sF18),empty_set)),sK2) | ~spl19_681), 83.95/12.26 inference(avatar_component_clause,[],[f196716])). 83.95/12.26 tff(f196716,plain,( 83.95/12.26 spl19_681 <=> member(sK0(union(union(sF18,sF18),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_681])])). 83.95/12.26 tff(f203672,plain,( 83.95/12.26 ~spl19_208 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203592])). 83.95/12.26 tff(f203592,plain,( 83.95/12.26 $false | (~spl19_208 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f54076])). 83.95/12.26 tff(f54076,plain,( 83.95/12.26 member(sK0(union(sF18,empty_set)),sK2) | ~spl19_208), 83.95/12.26 inference(avatar_component_clause,[],[f54075])). 83.95/12.26 tff(f203671,plain,( 83.95/12.26 ~spl19_47 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203651])). 83.95/12.26 tff(f203651,plain,( 83.95/12.26 $false | (~spl19_47 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f524])). 83.95/12.26 tff(f524,plain,( 83.95/12.26 member(sK6,sK2) | ~spl19_47), 83.95/12.26 inference(avatar_component_clause,[],[f523])). 83.95/12.26 tff(f523,plain,( 83.95/12.26 spl19_47 <=> member(sK6,sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_47])])). 83.95/12.26 tff(f203670,plain,( 83.95/12.26 ~spl19_621 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203574])). 83.95/12.26 tff(f203574,plain,( 83.95/12.26 $false | (~spl19_621 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f158335])). 83.95/12.26 tff(f158335,plain,( 83.95/12.26 member(sK0(union(union(sK5,empty_set),empty_set)),sK2) | ~spl19_621), 83.95/12.26 inference(avatar_component_clause,[],[f158334])). 83.95/12.26 tff(f158334,plain,( 83.95/12.26 spl19_621 <=> member(sK0(union(union(sK5,empty_set),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_621])])). 83.95/12.26 tff(f203669,plain,( 83.95/12.26 ~spl19_113 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203585])). 83.95/12.26 tff(f203585,plain,( 83.95/12.26 $false | (~spl19_113 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f11783])). 83.95/12.26 tff(f11783,plain,( 83.95/12.26 member(sK0(union(sK2,sF9)),sK2) | ~spl19_113), 83.95/12.26 inference(avatar_component_clause,[],[f11782])). 83.95/12.26 tff(f11782,plain,( 83.95/12.26 spl19_113 <=> member(sK0(union(sK2,sF9)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_113])])). 83.95/12.26 tff(f203668,plain,( 83.95/12.26 ~spl19_111 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203584])). 83.95/12.26 tff(f203584,plain,( 83.95/12.26 $false | (~spl19_111 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f11598])). 83.95/12.26 tff(f11598,plain,( 83.95/12.26 member(sK0(union(sK2,sF18)),sK2) | ~spl19_111), 83.95/12.26 inference(avatar_component_clause,[],[f11597])). 83.95/12.26 tff(f11597,plain,( 83.95/12.26 spl19_111 <=> member(sK0(union(sK2,sF18)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_111])])). 83.95/12.26 tff(f203667,plain,( 83.95/12.26 ~spl19_110 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203586])). 83.95/12.26 tff(f203586,plain,( 83.95/12.26 $false | (~spl19_110 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f11467])). 83.95/12.26 tff(f11467,plain,( 83.95/12.26 member(sK0(union(sK5,sF9)),sK2) | ~spl19_110), 83.95/12.26 inference(avatar_component_clause,[],[f11466])). 83.95/12.26 tff(f11466,plain,( 83.95/12.26 spl19_110 <=> member(sK0(union(sK5,sF9)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_110])])). 83.95/12.26 tff(f203666,plain,( 83.95/12.26 ~spl19_649 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203575])). 83.95/12.26 tff(f203575,plain,( 83.95/12.26 $false | (~spl19_649 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f179178])). 83.95/12.26 tff(f179178,plain,( 83.95/12.26 member(sK0(union(union(sK5,sK5),empty_set)),sK2) | ~spl19_649), 83.95/12.26 inference(avatar_component_clause,[],[f179177])). 83.95/12.26 tff(f179177,plain,( 83.95/12.26 spl19_649 <=> member(sK0(union(union(sK5,sK5),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_649])])). 83.95/12.26 tff(f203665,plain,( 83.95/12.26 ~spl19_567 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203583])). 83.95/12.26 tff(f203583,plain,( 83.95/12.26 $false | (~spl19_567 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f141370])). 83.95/12.26 tff(f141370,plain,( 83.95/12.26 member(sK0(union(complement(complement(sK5)),empty_set)),sK2) | ~spl19_567), 83.95/12.26 inference(avatar_component_clause,[],[f141369])). 83.95/12.26 tff(f141369,plain,( 83.95/12.26 spl19_567 <=> member(sK0(union(complement(complement(sK5)),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_567])])). 83.95/12.26 tff(f203664,plain,( 83.95/12.26 ~spl19_86 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203602])). 83.95/12.26 tff(f203602,plain,( 83.95/12.26 $false | (~spl19_86 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f2317])). 83.95/12.26 tff(f2317,plain,( 83.95/12.26 member(sK0(sK5),sK2) | ~spl19_86), 83.95/12.26 inference(avatar_component_clause,[],[f2316])). 83.95/12.26 tff(f2316,plain,( 83.95/12.26 spl19_86 <=> member(sK0(sK5),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_86])])). 83.95/12.26 tff(f203663,plain,( 83.95/12.26 ~spl19_550 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203590])). 83.95/12.26 tff(f203590,plain,( 83.95/12.26 $false | (~spl19_550 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f121308])). 83.95/12.26 tff(f121308,plain,( 83.95/12.26 member(sK0(union(sF11,sF11)),sK2) | ~spl19_550), 83.95/12.26 inference(avatar_component_clause,[],[f121307])). 83.95/12.26 tff(f121307,plain,( 83.95/12.26 spl19_550 <=> member(sK0(union(sF11,sF11)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_550])])). 83.95/12.26 tff(f203662,plain,( 83.95/12.26 ~spl19_117 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203591])). 83.95/12.26 tff(f203591,plain,( 83.95/12.26 $false | (~spl19_117 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f12385])). 83.95/12.26 tff(f12385,plain,( 83.95/12.26 member(sK0(union(sF18,sF9)),sK2) | ~spl19_117), 83.95/12.26 inference(avatar_component_clause,[],[f12384])). 83.95/12.26 tff(f12384,plain,( 83.95/12.26 spl19_117 <=> member(sK0(union(sF18,sF9)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_117])])). 83.95/12.26 tff(f203661,plain,( 83.95/12.26 ~spl19_224 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203587])). 83.95/12.26 tff(f203587,plain,( 83.95/12.26 $false | (~spl19_224 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f54534])). 83.95/12.26 tff(f54534,plain,( 83.95/12.26 member(sK0(union(sK5,empty_set)),sK2) | ~spl19_224), 83.95/12.26 inference(avatar_component_clause,[],[f54533])). 83.95/12.26 tff(f54533,plain,( 83.95/12.26 spl19_224 <=> member(sK0(union(sK5,empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_224])])). 83.95/12.26 tff(f203660,plain,( 83.95/12.26 ~spl19_32 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203603])). 83.95/12.26 tff(f203603,plain,( 83.95/12.26 $false | (~spl19_32 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f373])). 83.95/12.26 tff(f373,plain,( 83.95/12.26 member(sK0(sF18),sK2) | ~spl19_32), 83.95/12.26 inference(avatar_component_clause,[],[f372])). 83.95/12.26 tff(f372,plain,( 83.95/12.26 spl19_32 <=> member(sK0(sF18),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_32])])). 83.95/12.26 tff(f203659,plain,( 83.95/12.26 ~spl19_127 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203600])). 83.95/12.26 tff(f203600,plain,( 83.95/12.26 $false | (~spl19_127 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f37881])). 83.95/12.26 tff(f37881,plain,( 83.95/12.26 member(sK0(complement(complement(sF18))),sK2) | ~spl19_127), 83.95/12.26 inference(avatar_component_clause,[],[f37880])). 83.95/12.26 tff(f37880,plain,( 83.95/12.26 spl19_127 <=> member(sK0(complement(complement(sF18))),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_127])])). 83.95/12.26 tff(f203658,plain,( 83.95/12.26 ~spl19_49 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203650])). 83.95/12.26 tff(f203650,plain,( 83.95/12.26 $false | (~spl19_49 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f541])). 83.95/12.26 tff(f203657,plain,( 83.95/12.26 ~spl19_408 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203588])). 83.95/12.26 tff(f203588,plain,( 83.95/12.26 $false | (~spl19_408 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f76052])). 83.95/12.26 tff(f76052,plain,( 83.95/12.26 member(sK0(union(sK5,sK5)),sK2) | ~spl19_408), 83.95/12.26 inference(avatar_component_clause,[],[f76051])). 83.95/12.26 tff(f76051,plain,( 83.95/12.26 spl19_408 <=> member(sK0(union(sK5,sK5)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_408])])). 83.95/12.26 tff(f203656,plain,( 83.95/12.26 ~spl19_361 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203589])). 83.95/12.26 tff(f203589,plain,( 83.95/12.26 $false | (~spl19_361 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f67395])). 83.95/12.26 tff(f67395,plain,( 83.95/12.26 member(sK0(union(sF9,sF9)),sK2) | ~spl19_361), 83.95/12.26 inference(avatar_component_clause,[],[f67394])). 83.95/12.26 tff(f67394,plain,( 83.95/12.26 spl19_361 <=> member(sK0(union(sF9,sF9)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_361])])). 83.95/12.26 tff(f203655,plain,( 83.95/12.26 ~spl19_363 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203593])). 83.95/12.26 tff(f203593,plain,( 83.95/12.26 $false | (~spl19_363 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f67555])). 83.95/12.26 tff(f67555,plain,( 83.95/12.26 member(sK0(union(sF18,sF18)),sK2) | ~spl19_363), 83.95/12.26 inference(avatar_component_clause,[],[f67554])). 83.95/12.26 tff(f67554,plain,( 83.95/12.26 spl19_363 <=> member(sK0(union(sF18,sF18)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_363])])). 83.95/12.26 tff(f203654,plain,( 83.95/12.26 ~spl19_412 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203601])). 83.95/12.26 tff(f203601,plain,( 83.95/12.26 $false | (~spl19_412 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f76311])). 83.95/12.26 tff(f76311,plain,( 83.95/12.26 member(sK0(complement(complement(sF11))),sK2) | ~spl19_412), 83.95/12.26 inference(avatar_component_clause,[],[f76310])). 83.95/12.26 tff(f76310,plain,( 83.95/12.26 spl19_412 <=> member(sK0(complement(complement(sF11))),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_412])])). 83.95/12.26 tff(f203653,plain,( 83.95/12.26 ~spl19_410 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203599])). 83.95/12.26 tff(f203599,plain,( 83.95/12.26 $false | (~spl19_410 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f76233])). 83.95/12.26 tff(f76233,plain,( 83.95/12.26 member(sK0(complement(complement(sK5))),sK2) | ~spl19_410), 83.95/12.26 inference(avatar_component_clause,[],[f76232])). 83.95/12.26 tff(f76232,plain,( 83.95/12.26 spl19_410 <=> member(sK0(complement(complement(sK5))),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_410])])). 83.95/12.26 tff(f203652,plain,( 83.95/12.26 ~spl19_645 | ~spl19_734), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203576])). 83.95/12.26 tff(f203576,plain,( 83.95/12.26 $false | (~spl19_645 | ~spl19_734)), 83.95/12.26 inference(resolution,[],[f203503,f178984])). 83.95/12.26 tff(f178984,plain,( 83.95/12.26 member(sK0(union(union(sF18,empty_set),empty_set)),sK2) | ~spl19_645), 83.95/12.26 inference(avatar_component_clause,[],[f178983])). 83.95/12.26 tff(f178983,plain,( 83.95/12.26 spl19_645 <=> member(sK0(union(union(sF18,empty_set),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_645])])). 83.95/12.26 tff(f203455,plain,( 83.95/12.26 spl19_734 | spl19_735 | ~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f64656,f1281,f264,f114,f98,f203453,f203450])). 83.95/12.26 tff(f203453,plain,( 83.95/12.26 spl19_735 <=> member(sK0(union(union(sK2,sF18),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_735])])). 83.95/12.26 tff(f64656,plain,( 83.95/12.26 empty_set = union(union(sK2,sF18),empty_set) | member(sK0(union(union(sK2,sF18),empty_set)),sK2) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(factoring,[],[f54807])). 83.95/12.26 tff(f54807,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sF18),empty_set)),sK2) | member(sK0(union(union(X0,sF18),empty_set)),X0) | empty_set = union(union(X0,sF18),empty_set)) ) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53900,f272])). 83.95/12.26 tff(f53900,plain,( 83.95/12.26 ( ! [X0 : set,X1 : set] : (member(sK0(union(union(X0,X1),empty_set)),X1) | member(sK0(union(union(X0,X1),empty_set)),X0) | empty_set = union(union(X0,X1),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53895,f55])). 83.95/12.26 tff(f203445,plain,( 83.95/12.26 ~spl19_20 | ~spl19_97 | ~spl19_733), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203444])). 83.95/12.26 tff(f203444,plain,( 83.95/12.26 $false | (~spl19_20 | ~spl19_97 | ~spl19_733)), 83.95/12.26 inference(evaluation,[],[f203443])). 83.95/12.26 tff(f203443,plain,( 83.95/12.26 0 = 1 | (~spl19_20 | ~spl19_97 | ~spl19_733)), 83.95/12.26 inference(forward_demodulation,[],[f203442,f182])). 83.95/12.26 tff(f203442,plain,( 83.95/12.26 1 = cardinality(empty_set) | (~spl19_20 | ~spl19_97 | ~spl19_733)), 83.95/12.26 inference(forward_demodulation,[],[f203406,f6754])). 83.95/12.26 tff(f203406,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(sF11) | (~spl19_20 | ~spl19_733)), 83.95/12.26 inference(superposition,[],[f6042,f203401])). 83.95/12.26 tff(f203401,plain,( 83.95/12.26 empty_set = union(empty_set,sF11) | ~spl19_733), 83.95/12.26 inference(avatar_component_clause,[],[f203400])). 83.95/12.26 tff(f203400,plain,( 83.95/12.26 spl19_733 <=> empty_set = union(empty_set,sF11)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_733])])). 83.95/12.26 tff(f203402,plain,( 83.95/12.26 spl19_733 | ~spl19_718), 83.95/12.26 inference(avatar_split_clause,[],[f203245,f201878,f203400])). 83.95/12.26 tff(f201878,plain,( 83.95/12.26 spl19_718 <=> empty_set = union(union(empty_set,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_718])])). 83.95/12.26 tff(f203245,plain,( 83.95/12.26 empty_set = union(empty_set,sF11) | ~spl19_718), 83.95/12.26 inference(resolution,[],[f203240,f59])). 83.95/12.26 tff(f203240,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(empty_set,sF11))) ) | ~spl19_718), 83.95/12.26 inference(subsumption_resolution,[],[f203207,f162])). 83.95/12.26 tff(f203207,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,union(empty_set,sF11))) ) | ~spl19_718), 83.95/12.26 inference(superposition,[],[f54,f201879])). 83.95/12.26 tff(f201879,plain,( 83.95/12.26 empty_set = union(union(empty_set,sF11),empty_set) | ~spl19_718), 83.95/12.26 inference(avatar_component_clause,[],[f201878])). 83.95/12.26 tff(f203295,plain,( 83.95/12.26 spl19_732 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_718), 83.95/12.26 inference(avatar_split_clause,[],[f203230,f201878,f1281,f264,f98,f203293])). 83.95/12.26 tff(f203293,plain,( 83.95/12.26 spl19_732 <=> empty_set = difference(union(empty_set,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_732])])). 83.95/12.26 tff(f203230,plain,( 83.95/12.26 empty_set = difference(union(empty_set,sF11),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_718)), 83.95/12.26 inference(superposition,[],[f63946,f201879])). 83.95/12.26 tff(f203200,plain,( 83.95/12.26 ~spl19_3 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_66 | ~spl19_716), 83.95/12.26 inference(avatar_contradiction_clause,[],[f203199])). 83.95/12.26 tff(f203199,plain,( 83.95/12.26 $false | (~spl19_3 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_66 | ~spl19_716)), 83.95/12.26 inference(resolution,[],[f203042,f489])). 83.95/12.26 tff(f203042,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF9)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_716)), 83.95/12.26 inference(resolution,[],[f203024,f65201])). 83.95/12.26 tff(f203024,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF12,sF11))) ) | ~spl19_716), 83.95/12.26 inference(subsumption_resolution,[],[f202992,f162])). 83.95/12.26 tff(f202992,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF12,sF11)) | member(X0,empty_set)) ) | ~spl19_716), 83.95/12.26 inference(superposition,[],[f54,f201821])). 83.95/12.26 tff(f201821,plain,( 83.95/12.26 empty_set = union(union(sF12,sF11),empty_set) | ~spl19_716), 83.95/12.26 inference(avatar_component_clause,[],[f201820])). 83.95/12.26 tff(f201820,plain,( 83.95/12.26 spl19_716 <=> empty_set = union(union(sF12,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_716])])). 83.95/12.26 tff(f203097,plain,( 83.95/12.26 spl19_731 | ~spl19_716), 83.95/12.26 inference(avatar_split_clause,[],[f203045,f201820,f203095])). 83.95/12.26 tff(f203095,plain,( 83.95/12.26 spl19_731 <=> empty_set = union(sF12,sF11)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_731])])). 83.95/12.26 tff(f203045,plain,( 83.95/12.26 empty_set = union(sF12,sF11) | ~spl19_716), 83.95/12.26 inference(resolution,[],[f203024,f59])). 83.95/12.26 tff(f203038,plain,( 83.95/12.26 spl19_729 | spl19_730 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f64476,f1281,f264,f126,f98,f203036,f203033])). 83.95/12.26 tff(f203033,plain,( 83.95/12.26 spl19_729 <=> empty_set = union(union(empty_set,sF13),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_729])])). 83.95/12.26 tff(f203036,plain,( 83.95/12.26 spl19_730 <=> sK7 = sK0(union(union(empty_set,sF13),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_730])])). 83.95/12.26 tff(f64476,plain,( 83.95/12.26 sK7 = sK0(union(union(empty_set,sF13),empty_set)) | empty_set = union(union(empty_set,sF13),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54803,f162])). 83.95/12.26 tff(f54803,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sF13),empty_set)),X0) | sK7 = sK0(union(union(X0,sF13),empty_set)) | empty_set = union(union(X0,sF13),empty_set)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53900,f206])). 83.95/12.26 tff(f203031,plain,( 83.95/12.26 spl19_728 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_716), 83.95/12.26 inference(avatar_split_clause,[],[f203015,f201820,f1281,f264,f98,f203029])). 83.95/12.26 tff(f203029,plain,( 83.95/12.26 spl19_728 <=> empty_set = difference(union(sF12,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_728])])). 83.95/12.26 tff(f203015,plain,( 83.95/12.26 empty_set = difference(union(sF12,sF11),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_716)), 83.95/12.26 inference(superposition,[],[f63946,f201821])). 83.95/12.26 tff(f202983,plain,( 83.95/12.26 ~spl19_5 | ~spl19_18 | ~spl19_41 | ~spl19_714), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202982])). 83.95/12.26 tff(f202982,plain,( 83.95/12.26 $false | (~spl19_5 | ~spl19_18 | ~spl19_41 | ~spl19_714)), 83.95/12.26 inference(resolution,[],[f202884,f489])). 83.95/12.26 tff(f202884,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF9)) ) | (~spl19_5 | ~spl19_18 | ~spl19_714)), 83.95/12.26 inference(resolution,[],[f202879,f168479])). 83.95/12.26 tff(f168479,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,union(sF18,X0)) | ~member(X1,sF9)) ) | (~spl19_5 | ~spl19_18)), 83.95/12.26 inference(subsumption_resolution,[],[f168381,f162])). 83.95/12.26 tff(f168381,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,union(sF18,X0)) | member(X1,empty_set) | ~member(X1,sF9)) ) | (~spl19_5 | ~spl19_18)), 83.95/12.26 inference(superposition,[],[f61,f168352])). 83.95/12.26 tff(f168352,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = difference(sF9,union(sF18,X0))) ) | (~spl19_5 | ~spl19_18)), 83.95/12.26 inference(duplicate_literal_removal,[],[f168143])). 83.95/12.26 tff(f168143,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = difference(sF9,union(sF18,X0)) | empty_set = difference(sF9,union(sF18,X0))) ) | (~spl19_5 | ~spl19_18)), 83.95/12.26 inference(resolution,[],[f5056,f5040])). 83.95/12.26 tff(f202879,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF18,sF11))) ) | ~spl19_714), 83.95/12.26 inference(subsumption_resolution,[],[f202844,f162])). 83.95/12.26 tff(f202844,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF18,sF11)) | member(X0,empty_set)) ) | ~spl19_714), 83.95/12.26 inference(superposition,[],[f54,f201814])). 83.95/12.26 tff(f201814,plain,( 83.95/12.26 empty_set = union(union(sF18,sF11),empty_set) | ~spl19_714), 83.95/12.26 inference(avatar_component_clause,[],[f201813])). 83.95/12.26 tff(f201813,plain,( 83.95/12.26 spl19_714 <=> empty_set = union(union(sF18,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_714])])). 83.95/12.26 tff(f202883,plain,( 83.95/12.26 spl19_727 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_714), 83.95/12.26 inference(avatar_split_clause,[],[f202867,f201813,f1281,f264,f98,f202881])). 83.95/12.26 tff(f202881,plain,( 83.95/12.26 spl19_727 <=> empty_set = difference(union(sF18,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_727])])). 83.95/12.26 tff(f202867,plain,( 83.95/12.26 empty_set = difference(union(sF18,sF11),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_714)), 83.95/12.26 inference(superposition,[],[f63946,f201814])). 83.95/12.26 tff(f202839,plain,( 83.95/12.26 spl19_725 | spl19_726 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f64414,f1281,f264,f150,f98,f202837,f202834])). 83.95/12.26 tff(f202834,plain,( 83.95/12.26 spl19_725 <=> empty_set = union(union(sF14,sF13),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_725])])). 83.95/12.26 tff(f202837,plain,( 83.95/12.26 spl19_726 <=> member(sK0(union(union(sF14,sF13),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_726])])). 83.95/12.26 tff(f64414,plain,( 83.95/12.26 member(sK0(union(union(sF14,sF13),empty_set)),sF14) | empty_set = union(union(sF14,sF13),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(factoring,[],[f54802])). 83.95/12.26 tff(f54802,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sF13),empty_set)),sF14) | empty_set = union(union(X0,sF13),empty_set) | member(sK0(union(union(X0,sF13),empty_set)),X0)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53900,f239])). 83.95/12.26 tff(f202832,plain,( 83.95/12.26 spl19_723 | spl19_724 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f64381,f1281,f264,f150,f98,f202830,f202827])). 83.95/12.26 tff(f202827,plain,( 83.95/12.26 spl19_723 <=> empty_set = union(union(sF14,sF12),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_723])])). 83.95/12.26 tff(f202830,plain,( 83.95/12.26 spl19_724 <=> member(sK0(union(union(sF14,sF12),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_724])])). 83.95/12.26 tff(f64381,plain,( 83.95/12.26 member(sK0(union(union(sF14,sF12),empty_set)),sF14) | empty_set = union(union(sF14,sF12),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(factoring,[],[f54799])). 83.95/12.26 tff(f54799,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sF12),empty_set)),sF14) | member(sK0(union(union(X0,sF12),empty_set)),X0) | empty_set = union(union(X0,sF12),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53900,f244])). 83.95/12.26 tff(f202823,plain,( 83.95/12.26 ~spl19_105 | ~spl19_708), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202766])). 83.95/12.26 tff(f202766,plain,( 83.95/12.26 $false | (~spl19_105 | ~spl19_708)), 83.95/12.26 inference(resolution,[],[f202700,f9609])). 83.95/12.26 tff(f202700,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sK5)) ) | ~spl19_708), 83.95/12.26 inference(resolution,[],[f202691,f54])). 83.95/12.26 tff(f202691,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sK5,sF9))) ) | ~spl19_708), 83.95/12.26 inference(subsumption_resolution,[],[f202658,f162])). 83.95/12.26 tff(f202658,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,union(sK5,sF9))) ) | ~spl19_708), 83.95/12.26 inference(superposition,[],[f54,f200717])). 83.95/12.26 tff(f200717,plain,( 83.95/12.26 empty_set = union(union(sK5,sF9),empty_set) | ~spl19_708), 83.95/12.26 inference(avatar_component_clause,[],[f200716])). 83.95/12.26 tff(f200716,plain,( 83.95/12.26 spl19_708 <=> empty_set = union(union(sK5,sF9),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_708])])). 83.95/12.26 tff(f202822,plain,( 83.95/12.26 ~spl19_130 | ~spl19_708), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202767])). 83.95/12.26 tff(f202767,plain,( 83.95/12.26 $false | (~spl19_130 | ~spl19_708)), 83.95/12.26 inference(resolution,[],[f202700,f38992])). 83.95/12.26 tff(f202821,plain,( 83.95/12.26 ~spl19_42 | ~spl19_708), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202814])). 83.95/12.26 tff(f202814,plain,( 83.95/12.26 $false | (~spl19_42 | ~spl19_708)), 83.95/12.26 inference(resolution,[],[f202700,f494])). 83.95/12.26 tff(f202820,plain,( 83.95/12.26 ~spl19_107 | ~spl19_708), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202754])). 83.95/12.26 tff(f202754,plain,( 83.95/12.26 $false | (~spl19_107 | ~spl19_708)), 83.95/12.26 inference(resolution,[],[f202700,f11217])). 83.95/12.26 tff(f202819,plain,( 83.95/12.26 ~spl19_225 | ~spl19_708), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202763])). 83.95/12.26 tff(f202763,plain,( 83.95/12.26 $false | (~spl19_225 | ~spl19_708)), 83.95/12.26 inference(resolution,[],[f202700,f54538])). 83.95/12.26 tff(f54538,plain,( 83.95/12.26 member(sK0(union(sF18,empty_set)),sK5) | ~spl19_225), 83.95/12.26 inference(avatar_component_clause,[],[f54537])). 83.95/12.26 tff(f54537,plain,( 83.95/12.26 spl19_225 <=> member(sK0(union(sF18,empty_set)),sK5)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_225])])). 83.95/12.26 tff(f202818,plain,( 83.95/12.26 ~spl19_421 | ~spl19_708), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202762])). 83.95/12.26 tff(f202762,plain,( 83.95/12.26 $false | (~spl19_421 | ~spl19_708)), 83.95/12.26 inference(resolution,[],[f202700,f76890])). 83.95/12.26 tff(f76890,plain,( 83.95/12.26 member(sK0(union(sK5,empty_set)),sK5) | ~spl19_421), 83.95/12.26 inference(avatar_component_clause,[],[f76889])). 83.95/12.26 tff(f76889,plain,( 83.95/12.26 spl19_421 <=> member(sK0(union(sK5,empty_set)),sK5)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_421])])). 83.95/12.26 tff(f202817,plain,( 83.95/12.26 ~spl19_686 | ~spl19_708), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202761])). 83.95/12.26 tff(f202761,plain,( 83.95/12.26 $false | (~spl19_686 | ~spl19_708)), 83.95/12.26 inference(resolution,[],[f202700,f199025])). 83.95/12.26 tff(f199025,plain,( 83.95/12.26 member(sK0(union(difference(sF18,sF11),empty_set)),sK5) | ~spl19_686), 83.95/12.26 inference(avatar_component_clause,[],[f199024])). 83.95/12.26 tff(f199024,plain,( 83.95/12.26 spl19_686 <=> member(sK0(union(difference(sF18,sF11),empty_set)),sK5)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_686])])). 83.95/12.26 tff(f202816,plain,( 83.95/12.26 ~spl19_118 | ~spl19_708), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202756])). 83.95/12.26 tff(f202756,plain,( 83.95/12.26 $false | (~spl19_118 | ~spl19_708)), 83.95/12.26 inference(resolution,[],[f202700,f12557])). 83.95/12.26 tff(f202815,plain,( 83.95/12.26 ~spl19_356 | ~spl19_708), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202755])). 83.95/12.26 tff(f202755,plain,( 83.95/12.26 $false | (~spl19_356 | ~spl19_708)), 83.95/12.26 inference(resolution,[],[f202700,f67170])). 83.95/12.26 tff(f202697,plain,( 83.95/12.26 spl19_722 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_708), 83.95/12.26 inference(avatar_split_clause,[],[f202681,f200716,f1281,f264,f98,f202695])). 83.95/12.26 tff(f202695,plain,( 83.95/12.26 spl19_722 <=> empty_set = difference(union(sK5,sF9),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_722])])). 83.95/12.26 tff(f202681,plain,( 83.95/12.26 empty_set = difference(union(sK5,sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_708)), 83.95/12.26 inference(superposition,[],[f63946,f200717])). 83.95/12.26 tff(f202647,plain,( 83.95/12.26 ~spl19_41 | ~spl19_692), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202646])). 83.95/12.26 tff(f202646,plain,( 83.95/12.26 $false | (~spl19_41 | ~spl19_692)), 83.95/12.26 inference(resolution,[],[f202551,f489])). 83.95/12.26 tff(f202551,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF9)) ) | ~spl19_692), 83.95/12.26 inference(resolution,[],[f202542,f54])). 83.95/12.26 tff(f202542,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF9,sF8))) ) | ~spl19_692), 83.95/12.26 inference(subsumption_resolution,[],[f202510,f162])). 83.95/12.26 tff(f202510,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,union(sF9,sF8))) ) | ~spl19_692), 83.95/12.26 inference(superposition,[],[f54,f199640])). 83.95/12.26 tff(f199640,plain,( 83.95/12.26 empty_set = union(union(sF9,sF8),empty_set) | ~spl19_692), 83.95/12.26 inference(avatar_component_clause,[],[f199639])). 83.95/12.26 tff(f199639,plain,( 83.95/12.26 spl19_692 <=> empty_set = union(union(sF9,sF8),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_692])])). 83.95/12.26 tff(f202549,plain,( 83.95/12.26 spl19_721 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_692), 83.95/12.26 inference(avatar_split_clause,[],[f202533,f199639,f1281,f264,f98,f202547])). 83.95/12.26 tff(f202547,plain,( 83.95/12.26 spl19_721 <=> empty_set = difference(union(sF9,sF8),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_721])])). 83.95/12.26 tff(f202533,plain,( 83.95/12.26 empty_set = difference(union(sF9,sF8),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_692)), 83.95/12.26 inference(superposition,[],[f63946,f199640])). 83.95/12.26 tff(f202146,plain,( 83.95/12.26 ~spl19_248 | ~spl19_690), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202080])). 83.95/12.26 tff(f202080,plain,( 83.95/12.26 $false | (~spl19_248 | ~spl19_690)), 83.95/12.26 inference(resolution,[],[f202011,f54928])). 83.95/12.26 tff(f202011,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF18)) ) | ~spl19_690), 83.95/12.26 inference(resolution,[],[f201999,f54])). 83.95/12.26 tff(f201999,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF18,sK5))) ) | ~spl19_690), 83.95/12.26 inference(subsumption_resolution,[],[f201964,f162])). 83.95/12.26 tff(f201964,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF18,sK5)) | member(X0,empty_set)) ) | ~spl19_690), 83.95/12.26 inference(superposition,[],[f54,f199633])). 83.95/12.26 tff(f199633,plain,( 83.95/12.26 empty_set = union(union(sF18,sK5),empty_set) | ~spl19_690), 83.95/12.26 inference(avatar_component_clause,[],[f199632])). 83.95/12.26 tff(f199632,plain,( 83.95/12.26 spl19_690 <=> empty_set = union(union(sF18,sK5),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_690])])). 83.95/12.26 tff(f202145,plain,( 83.95/12.26 ~spl19_690 | ~spl19_694), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202077])). 83.95/12.26 tff(f202077,plain,( 83.95/12.26 $false | (~spl19_690 | ~spl19_694)), 83.95/12.26 inference(resolution,[],[f202011,f199661])). 83.95/12.26 tff(f199661,plain,( 83.95/12.26 member(sK0(union(difference(sF18,sF11),empty_set)),sF18) | ~spl19_694), 83.95/12.26 inference(avatar_component_clause,[],[f199660])). 83.95/12.26 tff(f199660,plain,( 83.95/12.26 spl19_694 <=> member(sK0(union(difference(sF18,sF11),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_694])])). 83.95/12.26 tff(f202144,plain,( 83.95/12.26 ~spl19_359 | ~spl19_690), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202069])). 83.95/12.26 tff(f202069,plain,( 83.95/12.26 $false | (~spl19_359 | ~spl19_690)), 83.95/12.26 inference(resolution,[],[f202011,f67260])). 83.95/12.26 tff(f67260,plain,( 83.95/12.26 member(sK0(union(sF9,sF9)),sF18) | ~spl19_359), 83.95/12.26 inference(avatar_component_clause,[],[f67259])). 83.95/12.26 tff(f67259,plain,( 83.95/12.26 spl19_359 <=> member(sK0(union(sF9,sF9)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_359])])). 83.95/12.26 tff(f202143,plain,( 83.95/12.26 ~spl19_115 | ~spl19_690), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202070])). 83.95/12.26 tff(f202070,plain,( 83.95/12.26 $false | (~spl19_115 | ~spl19_690)), 83.95/12.26 inference(resolution,[],[f202011,f11926])). 83.95/12.26 tff(f11926,plain,( 83.95/12.26 member(sK0(union(sF18,sF9)),sF18) | ~spl19_115), 83.95/12.26 inference(avatar_component_clause,[],[f11925])). 83.95/12.26 tff(f11925,plain,( 83.95/12.26 spl19_115 <=> member(sK0(union(sF18,sF9)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_115])])). 83.95/12.26 tff(f202142,plain,( 83.95/12.26 ~spl19_191 | ~spl19_690), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202079])). 83.95/12.26 tff(f202079,plain,( 83.95/12.26 $false | (~spl19_191 | ~spl19_690)), 83.95/12.26 inference(resolution,[],[f202011,f53940])). 83.95/12.26 tff(f53940,plain,( 83.95/12.26 member(sK0(union(sK5,empty_set)),sF18) | ~spl19_191), 83.95/12.26 inference(avatar_component_clause,[],[f53939])). 83.95/12.26 tff(f53939,plain,( 83.95/12.26 spl19_191 <=> member(sK0(union(sK5,empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_191])])). 83.95/12.26 tff(f202141,plain,( 83.95/12.26 ~spl19_109 | ~spl19_690), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202068])). 83.95/12.26 tff(f202068,plain,( 83.95/12.26 $false | (~spl19_109 | ~spl19_690)), 83.95/12.26 inference(resolution,[],[f202011,f11336])). 83.95/12.26 tff(f11336,plain,( 83.95/12.26 member(sK0(union(sK5,sF9)),sF18) | ~spl19_109), 83.95/12.26 inference(avatar_component_clause,[],[f11335])). 83.95/12.26 tff(f11335,plain,( 83.95/12.26 spl19_109 <=> member(sK0(union(sK5,sF9)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_109])])). 83.95/12.26 tff(f202140,plain,( 83.95/12.26 ~spl19_45 | ~spl19_690), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202133])). 83.95/12.26 tff(f202133,plain,( 83.95/12.26 $false | (~spl19_45 | ~spl19_690)), 83.95/12.26 inference(resolution,[],[f202011,f514])). 83.95/12.26 tff(f514,plain,( 83.95/12.26 member(sK6,sF18) | ~spl19_45), 83.95/12.26 inference(avatar_component_clause,[],[f513])). 83.95/12.26 tff(f513,plain,( 83.95/12.26 spl19_45 <=> member(sK6,sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_45])])). 83.95/12.26 tff(f202139,plain,( 83.95/12.26 ~spl19_84 | ~spl19_690), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202084])). 83.95/12.26 tff(f202084,plain,( 83.95/12.26 $false | (~spl19_84 | ~spl19_690)), 83.95/12.26 inference(resolution,[],[f202011,f2011])). 83.95/12.26 tff(f2011,plain,( 83.95/12.26 member(sK0(sK5),sF18) | ~spl19_84), 83.95/12.26 inference(avatar_component_clause,[],[f2010])). 83.95/12.26 tff(f2010,plain,( 83.95/12.26 spl19_84 <=> member(sK0(sK5),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_84])])). 83.95/12.26 tff(f202138,plain,( 83.95/12.26 ~spl19_48 | ~spl19_690), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202132])). 83.95/12.26 tff(f202132,plain,( 83.95/12.26 $false | (~spl19_48 | ~spl19_690)), 83.95/12.26 inference(resolution,[],[f202011,f536])). 83.95/12.26 tff(f202137,plain,( 83.95/12.26 ~spl19_564 | ~spl19_690), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202078])). 83.95/12.26 tff(f202078,plain,( 83.95/12.26 $false | (~spl19_564 | ~spl19_690)), 83.95/12.26 inference(resolution,[],[f202011,f141271])). 83.95/12.26 tff(f141271,plain,( 83.95/12.26 member(sK0(union(complement(complement(sK5)),empty_set)),sF18) | ~spl19_564), 83.95/12.26 inference(avatar_component_clause,[],[f141270])). 83.95/12.26 tff(f141270,plain,( 83.95/12.26 spl19_564 <=> member(sK0(union(complement(complement(sK5)),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_564])])). 83.95/12.26 tff(f202136,plain,( 83.95/12.26 ~spl19_131 | ~spl19_690), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202085])). 83.95/12.26 tff(f202085,plain,( 83.95/12.26 $false | (~spl19_131 | ~spl19_690)), 83.95/12.26 inference(resolution,[],[f202011,f38999])). 83.95/12.26 tff(f38999,plain,( 83.95/12.26 member(sK0(sF18),sF18) | ~spl19_131), 83.95/12.26 inference(avatar_component_clause,[],[f38998])). 83.95/12.26 tff(f38998,plain,( 83.95/12.26 spl19_131 <=> member(sK0(sF18),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_131])])). 83.95/12.26 tff(f202135,plain,( 83.95/12.26 ~spl19_618 | ~spl19_690), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202073])). 83.95/12.26 tff(f202073,plain,( 83.95/12.26 $false | (~spl19_618 | ~spl19_690)), 83.95/12.26 inference(resolution,[],[f202011,f158116])). 83.95/12.26 tff(f158116,plain,( 83.95/12.26 member(sK0(union(union(sK5,empty_set),empty_set)),sF18) | ~spl19_618), 83.95/12.26 inference(avatar_component_clause,[],[f158115])). 83.95/12.26 tff(f158115,plain,( 83.95/12.26 spl19_618 <=> member(sK0(union(union(sK5,empty_set),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_618])])). 83.95/12.26 tff(f202134,plain,( 83.95/12.26 ~spl19_646 | ~spl19_690), 83.95/12.26 inference(avatar_contradiction_clause,[],[f202075])). 83.95/12.26 tff(f202075,plain,( 83.95/12.26 $false | (~spl19_646 | ~spl19_690)), 83.95/12.26 inference(resolution,[],[f202011,f179128])). 83.95/12.26 tff(f179128,plain,( 83.95/12.26 member(sK0(union(union(sK5,sK5),empty_set)),sF18) | ~spl19_646), 83.95/12.26 inference(avatar_component_clause,[],[f179127])). 83.95/12.26 tff(f179127,plain,( 83.95/12.26 spl19_646 <=> member(sK0(union(union(sK5,sK5),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_646])])). 83.95/12.26 tff(f202003,plain,( 83.95/12.26 spl19_720 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_690), 83.95/12.26 inference(avatar_split_clause,[],[f201987,f199632,f1281,f264,f98,f202001])). 83.95/12.26 tff(f202001,plain,( 83.95/12.26 spl19_720 <=> empty_set = difference(union(sF18,sK5),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_720])])). 83.95/12.26 tff(f201987,plain,( 83.95/12.26 empty_set = difference(union(sF18,sK5),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_690)), 83.95/12.26 inference(superposition,[],[f63946,f199633])). 83.95/12.26 tff(f201883,plain,( 83.95/12.26 spl19_718 | spl19_719 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f64301,f1281,f264,f122,f98,f201881,f201878])). 83.95/12.26 tff(f201881,plain,( 83.95/12.26 spl19_719 <=> sK6 = sK0(union(union(empty_set,sF11),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_719])])). 83.95/12.26 tff(f64301,plain,( 83.95/12.26 sK6 = sK0(union(union(empty_set,sF11),empty_set)) | empty_set = union(union(empty_set,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54798,f162])). 83.95/12.26 tff(f54798,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sF11),empty_set)),X0) | empty_set = union(union(X0,sF11),empty_set) | sK6 = sK0(union(union(X0,sF11),empty_set))) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53900,f205])). 83.95/12.26 tff(f201873,plain,( 83.95/12.26 ~spl19_41 | ~spl19_712), 83.95/12.26 inference(avatar_contradiction_clause,[],[f201872])). 83.95/12.26 tff(f201872,plain,( 83.95/12.26 $false | (~spl19_41 | ~spl19_712)), 83.95/12.26 inference(resolution,[],[f201764,f489])). 83.95/12.26 tff(f201764,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF9)) ) | ~spl19_712), 83.95/12.26 inference(resolution,[],[f201760,f53])). 83.95/12.26 tff(f201760,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF8,sF9))) ) | ~spl19_712), 83.95/12.26 inference(subsumption_resolution,[],[f201726,f162])). 83.95/12.26 tff(f201726,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF8,sF9)) | member(X0,empty_set)) ) | ~spl19_712), 83.95/12.26 inference(superposition,[],[f54,f201717])). 83.95/12.26 tff(f201717,plain,( 83.95/12.26 empty_set = union(union(sF8,sF9),empty_set) | ~spl19_712), 83.95/12.26 inference(avatar_component_clause,[],[f201716])). 83.95/12.26 tff(f201716,plain,( 83.95/12.26 spl19_712 <=> empty_set = union(union(sF8,sF9),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_712])])). 83.95/12.26 tff(f201825,plain,( 83.95/12.26 spl19_716 | spl19_717 | ~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f64198,f1281,f264,f146,f98,f201823,f201820])). 83.95/12.26 tff(f64198,plain,( 83.95/12.26 empty_set = union(union(sF12,sF11),empty_set) | member(sK0(union(union(sF12,sF11),empty_set)),sF12) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(factoring,[],[f54797])). 83.95/12.26 tff(f54797,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sF11),empty_set)),sF12) | empty_set = union(union(X0,sF11),empty_set) | member(sK0(union(union(X0,sF11),empty_set)),X0)) ) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53900,f237])). 83.95/12.26 tff(f201818,plain,( 83.95/12.26 spl19_714 | spl19_715 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f64191,f1281,f264,f158,f98,f201816,f201813])). 83.95/12.26 tff(f64191,plain,( 83.95/12.26 member(sK0(union(union(sF18,sF11),empty_set)),sF18) | empty_set = union(union(sF18,sF11),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(factoring,[],[f54796])). 83.95/12.26 tff(f54796,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sF11),empty_set)),sF18) | empty_set = union(union(X0,sF11),empty_set) | member(sK0(union(union(X0,sF11),empty_set)),X0)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53900,f238])). 83.95/12.26 tff(f201721,plain,( 83.95/12.26 spl19_712 | spl19_713 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64), 83.95/12.26 inference(avatar_split_clause,[],[f64187,f1429,f1281,f264,f98,f201719,f201716])). 83.95/12.26 tff(f64187,plain,( 83.95/12.26 empty_set = union(union(sF8,sF9),empty_set) | member(sK0(union(union(sF8,sF9),empty_set)),sF8) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(factoring,[],[f54794])). 83.95/12.26 tff(f54794,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sF9),empty_set)),sF8) | empty_set = union(union(X0,sF9),empty_set) | member(sK0(union(union(X0,sF9),empty_set)),X0)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(resolution,[],[f53900,f2677])). 83.95/12.26 tff(f201713,plain,( 83.95/12.26 spl19_701 | ~spl19_8 | ~spl19_698), 83.95/12.26 inference(avatar_split_clause,[],[f199837,f199676,f118,f199689])). 83.95/12.26 tff(f199689,plain,( 83.95/12.26 spl19_701 <=> sK1 = sK0(union(union(sF9,sF8),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_701])])). 83.95/12.26 tff(f199676,plain,( 83.95/12.26 spl19_698 <=> member(sK0(union(union(sF9,sF8),empty_set)),sF8)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_698])])). 83.95/12.26 tff(f199837,plain,( 83.95/12.26 sK1 = sK0(union(union(sF9,sF8),empty_set)) | (~spl19_8 | ~spl19_698)), 83.95/12.26 inference(resolution,[],[f199677,f204])). 83.95/12.26 tff(f199677,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF8) | ~spl19_698), 83.95/12.26 inference(avatar_component_clause,[],[f199676])). 83.95/12.26 tff(f201589,plain,( 83.95/12.26 spl19_691 | ~spl19_13 | ~spl19_698), 83.95/12.26 inference(avatar_split_clause,[],[f199836,f199676,f138,f199636])). 83.95/12.26 tff(f199636,plain,( 83.95/12.26 spl19_691 <=> member(sK0(union(union(sF9,sF8),empty_set)),sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_691])])). 83.95/12.26 tff(f199836,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF9) | (~spl19_13 | ~spl19_698)), 83.95/12.26 inference(resolution,[],[f199677,f235])). 83.95/12.26 tff(f201154,plain,( 83.95/12.26 spl19_711 | ~spl19_18 | ~spl19_707), 83.95/12.26 inference(avatar_split_clause,[],[f201140,f200713,f158,f201152])). 83.95/12.26 tff(f200713,plain,( 83.95/12.26 spl19_707 <=> member(sK0(union(union(sK5,sF9),empty_set)),sK5)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_707])])). 83.95/12.26 tff(f201140,plain,( 83.95/12.26 member(sK0(union(union(sK5,sF9),empty_set)),sF18) | (~spl19_18 | ~spl19_707)), 83.95/12.26 inference(resolution,[],[f200714,f243])). 83.95/12.26 tff(f200714,plain,( 83.95/12.26 member(sK0(union(union(sK5,sF9),empty_set)),sK5) | ~spl19_707), 83.95/12.26 inference(avatar_component_clause,[],[f200713])). 83.95/12.26 tff(f201150,plain,( 83.95/12.26 spl19_710 | ~spl19_351 | ~spl19_707), 83.95/12.26 inference(avatar_split_clause,[],[f201139,f200713,f66621,f201148])). 83.95/12.26 tff(f201148,plain,( 83.95/12.26 spl19_710 <=> member(sK0(union(union(sK5,sF9),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_710])])). 83.95/12.26 tff(f201139,plain,( 83.95/12.26 member(sK0(union(union(sK5,sF9),empty_set)),sK2) | (~spl19_351 | ~spl19_707)), 83.95/12.26 inference(resolution,[],[f200714,f66648])). 83.95/12.26 tff(f201146,plain,( 83.95/12.26 spl19_709 | ~spl19_16 | ~spl19_705), 83.95/12.26 inference(avatar_split_clause,[],[f200725,f200704,f150,f201144])). 83.95/12.26 tff(f201144,plain,( 83.95/12.26 spl19_709 <=> member(sK0(union(union(sF12,sF9),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_709])])). 83.95/12.26 tff(f200725,plain,( 83.95/12.26 member(sK0(union(union(sF12,sF9),empty_set)),sF14) | (~spl19_16 | ~spl19_705)), 83.95/12.26 inference(resolution,[],[f200705,f244])). 83.95/12.26 tff(f200718,plain,( 83.95/12.26 spl19_707 | spl19_708 | ~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f64178,f1281,f264,f106,f98,f200716,f200713])). 83.95/12.26 tff(f64178,plain,( 83.95/12.26 empty_set = union(union(sK5,sF9),empty_set) | member(sK0(union(union(sK5,sF9),empty_set)),sK5) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(factoring,[],[f54791])). 83.95/12.26 tff(f54791,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sF9),empty_set)),sK5) | empty_set = union(union(X0,sF9),empty_set) | member(sK0(union(union(X0,sF9),empty_set)),X0)) ) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53900,f271])). 83.95/12.26 tff(f200709,plain,( 83.95/12.26 spl19_705 | spl19_706 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.26 inference(avatar_split_clause,[],[f64172,f1443,f1281,f264,f98,f200707,f200704])). 83.95/12.26 tff(f200707,plain,( 83.95/12.26 spl19_706 <=> empty_set = union(union(sF12,sF9),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_706])])). 83.95/12.26 tff(f64172,plain,( 83.95/12.26 member(sK0(union(union(sF12,sF9),empty_set)),sF12) | empty_set = union(union(sF12,sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(factoring,[],[f54790])). 83.95/12.26 tff(f54790,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sF9),empty_set)),sF12) | member(sK0(union(union(X0,sF9),empty_set)),X0) | empty_set = union(union(X0,sF9),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f53900,f53667])). 83.95/12.26 tff(f200702,plain,( 83.95/12.26 spl19_703 | ~spl19_351 | ~spl19_697), 83.95/12.26 inference(avatar_split_clause,[],[f199830,f199672,f66621,f199843])). 83.95/12.26 tff(f199672,plain,( 83.95/12.26 spl19_697 <=> member(sK0(union(union(sF9,sF8),empty_set)),sK5)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_697])])). 83.95/12.26 tff(f199830,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sK2) | (~spl19_351 | ~spl19_697)), 83.95/12.26 inference(resolution,[],[f199673,f66648])). 83.95/12.26 tff(f199673,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sK5) | ~spl19_697), 83.95/12.26 inference(avatar_component_clause,[],[f199672])). 83.95/12.26 tff(f200281,plain,( 83.95/12.26 ~spl19_704 | ~spl19_145 | ~spl19_694), 83.95/12.26 inference(avatar_split_clause,[],[f199702,f199660,f52201,f200279])). 83.95/12.26 tff(f200279,plain,( 83.95/12.26 spl19_704 <=> member(sK0(union(difference(sF18,sF11),empty_set)),sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_704])])). 83.95/12.26 tff(f199702,plain,( 83.95/12.26 ~member(sK0(union(difference(sF18,sF11),empty_set)),sF13) | (~spl19_145 | ~spl19_694)), 83.95/12.26 inference(resolution,[],[f199661,f52220])). 83.95/12.26 tff(f200276,plain,( 83.95/12.26 spl19_703 | ~spl19_92 | ~spl19_691), 83.95/12.26 inference(avatar_split_clause,[],[f199651,f199636,f5066,f199843])). 83.95/12.26 tff(f199651,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sK2) | (~spl19_92 | ~spl19_691)), 83.95/12.26 inference(resolution,[],[f199637,f5553])). 83.95/12.26 tff(f199637,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF9) | ~spl19_691), 83.95/12.26 inference(avatar_component_clause,[],[f199636])). 83.95/12.26 tff(f199845,plain,( 83.95/12.26 spl19_703 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_698), 83.95/12.26 inference(avatar_split_clause,[],[f199834,f199676,f1281,f540,f264,f118,f98,f199843])). 83.95/12.26 tff(f199834,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sK2) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_698)), 83.95/12.26 inference(resolution,[],[f199677,f59335])). 83.95/12.26 tff(f199838,plain,( 83.95/12.26 spl19_699 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_698), 83.95/12.26 inference(avatar_split_clause,[],[f199832,f199676,f1281,f535,f264,f118,f98,f199680])). 83.95/12.26 tff(f199832,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF18) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_698)), 83.95/12.26 inference(resolution,[],[f199677,f59341])). 83.95/12.26 tff(f199829,plain,( 83.95/12.26 spl19_692 | spl19_701 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_64), 83.95/12.26 inference(avatar_split_clause,[],[f63853,f1429,f1281,f264,f118,f98,f199689,f199639])). 83.95/12.26 tff(f63853,plain,( 83.95/12.26 sK1 = sK0(union(union(sF9,sF8),empty_set)) | empty_set = union(union(sF9,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(subsumption_resolution,[],[f63834,f204])). 83.95/12.26 tff(f63834,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF8) | sK1 = sK0(union(union(sF9,sF8),empty_set)) | empty_set = union(union(sF9,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(resolution,[],[f54789,f2677])). 83.95/12.26 tff(f54789,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sF8),empty_set)),X0) | sK1 = sK0(union(union(X0,sF8),empty_set)) | empty_set = union(union(X0,sF8),empty_set)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53900,f204])). 83.95/12.26 tff(f199695,plain,( 83.95/12.26 spl19_702 | ~spl19_66 | ~spl19_691), 83.95/12.26 inference(avatar_split_clause,[],[f199652,f199636,f1443,f199693])). 83.95/12.26 tff(f199652,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF12) | (~spl19_66 | ~spl19_691)), 83.95/12.26 inference(resolution,[],[f199637,f53667])). 83.95/12.26 tff(f199691,plain,( 83.95/12.26 spl19_701 | ~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314 | ~spl19_691), 83.95/12.26 inference(avatar_split_clause,[],[f199654,f199636,f58993,f51939,f1443,f1429,f1281,f264,f181,f118,f98,f199689])). 83.95/12.26 tff(f199654,plain,( 83.95/12.26 sK1 = sK0(union(union(sF9,sF8),empty_set)) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314 | ~spl19_691)), 83.95/12.26 inference(resolution,[],[f199637,f125979])). 83.95/12.26 tff(f199686,plain,( 83.95/12.26 spl19_700 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_691), 83.95/12.26 inference(avatar_split_clause,[],[f199653,f199636,f1443,f1281,f264,f150,f98,f199684])). 83.95/12.26 tff(f199653,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF14) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_691)), 83.95/12.26 inference(resolution,[],[f199637,f65573])). 83.95/12.26 tff(f199682,plain,( 83.95/12.26 spl19_699 | ~spl19_95 | ~spl19_691), 83.95/12.26 inference(avatar_split_clause,[],[f199650,f199636,f5373,f199680])). 83.95/12.26 tff(f199650,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF18) | (~spl19_95 | ~spl19_691)), 83.95/12.26 inference(resolution,[],[f199637,f5437])). 83.95/12.26 tff(f199678,plain,( 83.95/12.26 spl19_698 | ~spl19_64 | ~spl19_691), 83.95/12.26 inference(avatar_split_clause,[],[f199649,f199636,f1429,f199676])). 83.95/12.26 tff(f199649,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF8) | (~spl19_64 | ~spl19_691)), 83.95/12.26 inference(resolution,[],[f199637,f2677])). 83.95/12.26 tff(f199674,plain,( 83.95/12.26 spl19_697 | ~spl19_5 | ~spl19_691), 83.95/12.26 inference(avatar_split_clause,[],[f199648,f199636,f106,f199672])). 83.95/12.26 tff(f199648,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sK5) | (~spl19_5 | ~spl19_691)), 83.95/12.26 inference(resolution,[],[f199637,f271])). 83.95/12.26 tff(f199670,plain,( 83.95/12.26 spl19_696 | ~spl19_7 | ~spl19_689), 83.95/12.26 inference(avatar_split_clause,[],[f199647,f199629,f114,f199668])). 83.95/12.26 tff(f199668,plain,( 83.95/12.26 spl19_696 <=> member(sK0(union(union(sF18,sK5),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_696])])). 83.95/12.26 tff(f199629,plain,( 83.95/12.26 spl19_689 <=> member(sK0(union(union(sF18,sK5),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_689])])). 83.95/12.26 tff(f199647,plain,( 83.95/12.26 member(sK0(union(union(sF18,sK5),empty_set)),sK2) | (~spl19_7 | ~spl19_689)), 83.95/12.26 inference(resolution,[],[f199630,f272])). 83.95/12.26 tff(f199630,plain,( 83.95/12.26 member(sK0(union(union(sF18,sK5),empty_set)),sF18) | ~spl19_689), 83.95/12.26 inference(avatar_component_clause,[],[f199629])). 83.95/12.26 tff(f199666,plain,( 83.95/12.26 ~spl19_695 | ~spl19_145 | ~spl19_689), 83.95/12.26 inference(avatar_split_clause,[],[f199645,f199629,f52201,f199664])). 83.95/12.26 tff(f199664,plain,( 83.95/12.26 spl19_695 <=> member(sK0(union(union(sF18,sK5),empty_set)),sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_695])])). 83.95/12.26 tff(f199645,plain,( 83.95/12.26 ~member(sK0(union(union(sF18,sK5),empty_set)),sF13) | (~spl19_145 | ~spl19_689)), 83.95/12.26 inference(resolution,[],[f199630,f52220])). 83.95/12.26 tff(f199662,plain,( 83.95/12.26 spl19_694 | ~spl19_18 | ~spl19_686), 83.95/12.26 inference(avatar_split_clause,[],[f199644,f199024,f158,f199660])). 83.95/12.26 tff(f199644,plain,( 83.95/12.26 member(sK0(union(difference(sF18,sF11),empty_set)),sF18) | (~spl19_18 | ~spl19_686)), 83.95/12.26 inference(resolution,[],[f199025,f243])). 83.95/12.26 tff(f199658,plain,( 83.95/12.26 spl19_693 | ~spl19_351 | ~spl19_686), 83.95/12.26 inference(avatar_split_clause,[],[f199643,f199024,f66621,f199656])). 83.95/12.26 tff(f199643,plain,( 83.95/12.26 member(sK0(union(difference(sF18,sF11),empty_set)),sK2) | (~spl19_351 | ~spl19_686)), 83.95/12.26 inference(resolution,[],[f199025,f66648])). 83.95/12.26 tff(f199641,plain,( 83.95/12.26 spl19_691 | spl19_692 | ~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f63790,f1281,f264,f138,f98,f199639,f199636])). 83.95/12.26 tff(f63790,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF8),empty_set)),sF9) | empty_set = union(union(sF9,sF8),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(factoring,[],[f54788])). 83.95/12.26 tff(f54788,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sF8),empty_set)),sF9) | member(sK0(union(union(X0,sF8),empty_set)),X0) | empty_set = union(union(X0,sF8),empty_set)) ) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53900,f235])). 83.95/12.26 tff(f199634,plain,( 83.95/12.26 spl19_689 | spl19_690 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f63695,f1281,f264,f158,f98,f199632,f199629])). 83.95/12.26 tff(f63695,plain,( 83.95/12.26 empty_set = union(union(sF18,sK5),empty_set) | member(sK0(union(union(sF18,sK5),empty_set)),sF18) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(factoring,[],[f54786])). 83.95/12.26 tff(f54786,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,sK5),empty_set)),sF18) | member(sK0(union(union(X0,sK5),empty_set)),X0) | empty_set = union(union(X0,sK5),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53900,f243])). 83.95/12.26 tff(f199524,plain,( 83.95/12.26 ~spl19_48 | spl19_228 | ~spl19_685), 83.95/12.26 inference(avatar_contradiction_clause,[],[f199523])). 83.95/12.26 tff(f199523,plain,( 83.95/12.26 $false | (~spl19_48 | spl19_228 | ~spl19_685)), 83.95/12.26 inference(subsumption_resolution,[],[f199520,f54915])). 83.95/12.26 tff(f199520,plain,( 83.95/12.26 member(sK1,sF11) | (~spl19_48 | ~spl19_685)), 83.95/12.26 inference(resolution,[],[f199071,f536])). 83.95/12.26 tff(f199071,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF18) | member(X0,sF11)) ) | ~spl19_685), 83.95/12.26 inference(resolution,[],[f199062,f61])). 83.95/12.26 tff(f199062,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,difference(sF18,sF11))) ) | ~spl19_685), 83.95/12.26 inference(subsumption_resolution,[],[f199030,f162])). 83.95/12.26 tff(f199030,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(sF18,sF11))) ) | ~spl19_685), 83.95/12.26 inference(superposition,[],[f54,f199022])). 83.95/12.26 tff(f199022,plain,( 83.95/12.26 empty_set = union(difference(sF18,sF11),empty_set) | ~spl19_685), 83.95/12.26 inference(avatar_component_clause,[],[f199021])). 83.95/12.26 tff(f199021,plain,( 83.95/12.26 spl19_685 <=> empty_set = union(difference(sF18,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_685])])). 83.95/12.26 tff(f199124,plain,( 83.95/12.26 spl19_688 | ~spl19_685), 83.95/12.26 inference(avatar_split_clause,[],[f199072,f199021,f199122])). 83.95/12.26 tff(f199122,plain,( 83.95/12.26 spl19_688 <=> empty_set = difference(sF18,sF11)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_688])])). 83.95/12.26 tff(f199072,plain,( 83.95/12.26 empty_set = difference(sF18,sF11) | ~spl19_685), 83.95/12.26 inference(resolution,[],[f199062,f59])). 83.95/12.26 tff(f199069,plain,( 83.95/12.26 spl19_687 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_685), 83.95/12.26 inference(avatar_split_clause,[],[f199053,f199021,f1281,f264,f98,f199067])). 83.95/12.26 tff(f199067,plain,( 83.95/12.26 spl19_687 <=> empty_set = difference(difference(sF18,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_687])])). 83.95/12.26 tff(f199053,plain,( 83.95/12.26 empty_set = difference(difference(sF18,sF11),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_685)), 83.95/12.26 inference(superposition,[],[f63946,f199022])). 83.95/12.26 tff(f199026,plain,( 83.95/12.26 spl19_685 | spl19_686 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f63459,f1281,f264,f158,f98,f199024,f199021])). 83.95/12.26 tff(f63459,plain,( 83.95/12.26 empty_set = union(difference(sF18,sF11),empty_set) | member(sK0(union(difference(sF18,sF11),empty_set)),sK5) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f63447])). 83.95/12.26 tff(f63447,plain,( 83.95/12.26 empty_set = union(difference(sF18,sF11),empty_set) | member(sK0(union(difference(sF18,sF11),empty_set)),sK5) | empty_set = union(difference(sF18,sF11),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54329,f53901])). 83.95/12.26 tff(f54329,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF18,X0),empty_set)),sF11) | member(sK0(union(difference(sF18,X0),empty_set)),sK5) | empty_set = union(difference(sF18,X0),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53902,f351])). 83.95/12.26 tff(f199018,plain,( 83.95/12.26 spl19_684 | ~spl19_16 | ~spl19_682), 83.95/12.26 inference(avatar_split_clause,[],[f199009,f197766,f150,f199016])). 83.95/12.26 tff(f199016,plain,( 83.95/12.26 spl19_684 <=> member(sK0(union(difference(sF14,sF13),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_684])])). 83.95/12.26 tff(f199009,plain,( 83.95/12.26 member(sK0(union(difference(sF14,sF13),empty_set)),sF14) | (~spl19_16 | ~spl19_682)), 83.95/12.26 inference(resolution,[],[f197767,f244])). 83.95/12.26 tff(f197771,plain,( 83.95/12.26 spl19_682 | spl19_683 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f63444,f1281,f264,f150,f98,f197769,f197766])). 83.95/12.26 tff(f197769,plain,( 83.95/12.26 spl19_683 <=> empty_set = union(difference(sF14,sF13),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_683])])). 83.95/12.26 tff(f63444,plain,( 83.95/12.26 empty_set = union(difference(sF14,sF13),empty_set) | member(sK0(union(difference(sF14,sF13),empty_set)),sF12) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f63434])). 83.95/12.26 tff(f63434,plain,( 83.95/12.26 empty_set = union(difference(sF14,sF13),empty_set) | member(sK0(union(difference(sF14,sF13),empty_set)),sF12) | empty_set = union(difference(sF14,sF13),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54327,f53901])). 83.95/12.26 tff(f54327,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF14,X0),empty_set)),sF13) | empty_set = union(difference(sF14,X0),empty_set) | member(sK0(union(difference(sF14,X0),empty_set)),sF12)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53902,f352])). 83.95/12.26 tff(f196718,plain,( 83.95/12.26 spl19_681 | spl19_678 | ~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57591,f1281,f264,f114,f98,f192679,f196716])). 83.95/12.26 tff(f192679,plain,( 83.95/12.26 spl19_678 <=> empty_set = union(union(sF18,sF18),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_678])])). 83.95/12.26 tff(f57591,plain,( 83.95/12.26 empty_set = union(union(sF18,sF18),empty_set) | member(sK0(union(union(sF18,sF18),empty_set)),sK2) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54808,f272])). 83.95/12.26 tff(f54808,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,X0),empty_set)),X0) | empty_set = union(union(X0,X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(factoring,[],[f53900])). 83.95/12.26 tff(f194752,plain,( 83.95/12.26 spl19_677 | ~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314 | ~spl19_676), 83.95/12.26 inference(avatar_split_clause,[],[f194749,f192663,f58993,f51939,f1443,f1429,f1281,f264,f181,f118,f98,f192672])). 83.95/12.26 tff(f192672,plain,( 83.95/12.26 spl19_677 <=> sK1 = sK0(union(union(sF9,sF9),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_677])])). 83.95/12.26 tff(f194749,plain,( 83.95/12.26 sK1 = sK0(union(union(sF9,sF9),empty_set)) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314 | ~spl19_676)), 83.95/12.26 inference(resolution,[],[f192664,f125979])). 83.95/12.26 tff(f194741,plain,( 83.95/12.26 ~spl19_109 | ~spl19_678), 83.95/12.26 inference(avatar_contradiction_clause,[],[f194665])). 83.95/12.26 tff(f194665,plain,( 83.95/12.26 $false | (~spl19_109 | ~spl19_678)), 83.95/12.26 inference(resolution,[],[f194608,f11336])). 83.95/12.26 tff(f194608,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF18)) ) | ~spl19_678), 83.95/12.26 inference(resolution,[],[f194593,f54])). 83.95/12.26 tff(f194593,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF18,sF18))) ) | ~spl19_678), 83.95/12.26 inference(subsumption_resolution,[],[f194562,f162])). 83.95/12.26 tff(f194562,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,union(sF18,sF18))) ) | ~spl19_678), 83.95/12.26 inference(superposition,[],[f54,f192680])). 83.95/12.26 tff(f192680,plain,( 83.95/12.26 empty_set = union(union(sF18,sF18),empty_set) | ~spl19_678), 83.95/12.26 inference(avatar_component_clause,[],[f192679])). 83.95/12.26 tff(f194740,plain,( 83.95/12.26 ~spl19_115 | ~spl19_678), 83.95/12.26 inference(avatar_contradiction_clause,[],[f194667])). 83.95/12.26 tff(f194667,plain,( 83.95/12.26 $false | (~spl19_115 | ~spl19_678)), 83.95/12.26 inference(resolution,[],[f194608,f11926])). 83.95/12.26 tff(f194739,plain,( 83.95/12.26 ~spl19_618 | ~spl19_678), 83.95/12.26 inference(avatar_contradiction_clause,[],[f194672])). 83.95/12.26 tff(f194672,plain,( 83.95/12.26 $false | (~spl19_618 | ~spl19_678)), 83.95/12.26 inference(resolution,[],[f194608,f158116])). 83.95/12.26 tff(f194738,plain,( 83.95/12.26 ~spl19_45 | ~spl19_678), 83.95/12.26 inference(avatar_contradiction_clause,[],[f194729])). 83.95/12.26 tff(f194729,plain,( 83.95/12.26 $false | (~spl19_45 | ~spl19_678)), 83.95/12.26 inference(resolution,[],[f194608,f514])). 83.95/12.26 tff(f194737,plain,( 83.95/12.26 ~spl19_646 | ~spl19_678), 83.95/12.26 inference(avatar_contradiction_clause,[],[f194671])). 83.95/12.26 tff(f194671,plain,( 83.95/12.26 $false | (~spl19_646 | ~spl19_678)), 83.95/12.26 inference(resolution,[],[f194608,f179128])). 83.95/12.26 tff(f194736,plain,( 83.95/12.26 ~spl19_248 | ~spl19_678), 83.95/12.26 inference(avatar_contradiction_clause,[],[f194676])). 83.95/12.26 tff(f194676,plain,( 83.95/12.26 $false | (~spl19_248 | ~spl19_678)), 83.95/12.26 inference(resolution,[],[f194608,f54928])). 83.95/12.26 tff(f194735,plain,( 83.95/12.26 ~spl19_191 | ~spl19_678), 83.95/12.26 inference(avatar_contradiction_clause,[],[f194675])). 83.95/12.26 tff(f194675,plain,( 83.95/12.26 $false | (~spl19_191 | ~spl19_678)), 83.95/12.26 inference(resolution,[],[f194608,f53940])). 83.95/12.26 tff(f194734,plain,( 83.95/12.26 ~spl19_359 | ~spl19_678), 83.95/12.26 inference(avatar_contradiction_clause,[],[f194666])). 83.95/12.26 tff(f194666,plain,( 83.95/12.26 $false | (~spl19_359 | ~spl19_678)), 83.95/12.26 inference(resolution,[],[f194608,f67260])). 83.95/12.26 tff(f194733,plain,( 83.95/12.26 ~spl19_564 | ~spl19_678), 83.95/12.26 inference(avatar_contradiction_clause,[],[f194674])). 83.95/12.26 tff(f194674,plain,( 83.95/12.26 $false | (~spl19_564 | ~spl19_678)), 83.95/12.26 inference(resolution,[],[f194608,f141271])). 83.95/12.26 tff(f194732,plain,( 83.95/12.26 ~spl19_131 | ~spl19_678), 83.95/12.26 inference(avatar_contradiction_clause,[],[f194681])). 83.95/12.26 tff(f194681,plain,( 83.95/12.26 $false | (~spl19_131 | ~spl19_678)), 83.95/12.26 inference(resolution,[],[f194608,f38999])). 83.95/12.26 tff(f194731,plain,( 83.95/12.26 ~spl19_48 | ~spl19_678), 83.95/12.26 inference(avatar_contradiction_clause,[],[f194728])). 83.95/12.26 tff(f194728,plain,( 83.95/12.26 $false | (~spl19_48 | ~spl19_678)), 83.95/12.26 inference(resolution,[],[f194608,f536])). 83.95/12.26 tff(f194730,plain,( 83.95/12.26 ~spl19_84 | ~spl19_678), 83.95/12.26 inference(avatar_contradiction_clause,[],[f194680])). 83.95/12.26 tff(f194680,plain,( 83.95/12.26 $false | (~spl19_84 | ~spl19_678)), 83.95/12.26 inference(resolution,[],[f194608,f2011])). 83.95/12.26 tff(f194601,plain,( 83.95/12.26 spl19_680 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_678), 83.95/12.26 inference(avatar_split_clause,[],[f194585,f192679,f1281,f264,f98,f194599])). 83.95/12.26 tff(f194599,plain,( 83.95/12.26 spl19_680 <=> empty_set = difference(union(sF18,sF18),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_680])])). 83.95/12.26 tff(f194585,plain,( 83.95/12.26 empty_set = difference(union(sF18,sF18),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_678)), 83.95/12.26 inference(superposition,[],[f63946,f192680])). 83.95/12.26 tff(f192684,plain,( 83.95/12.26 spl19_678 | ~spl19_679 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.95/12.26 inference(avatar_split_clause,[],[f57589,f52201,f1281,f264,f98,f192682,f192679])). 83.95/12.26 tff(f192682,plain,( 83.95/12.26 spl19_679 <=> member(sK0(union(union(sF18,sF18),empty_set)),sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_679])])). 83.95/12.26 tff(f57589,plain,( 83.95/12.26 empty_set = union(union(sF18,sF18),empty_set) | ~member(sK0(union(union(sF18,sF18),empty_set)),sF13) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.95/12.26 inference(resolution,[],[f54808,f52220])). 83.95/12.26 tff(f192674,plain,( 83.95/12.26 spl19_677 | ~spl19_8 | ~spl19_658), 83.95/12.26 inference(avatar_split_clause,[],[f190541,f185964,f118,f192672])). 83.95/12.26 tff(f185964,plain,( 83.95/12.26 spl19_658 <=> member(sK0(union(union(sF9,sF9),empty_set)),sF8)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_658])])). 83.95/12.26 tff(f190541,plain,( 83.95/12.26 sK1 = sK0(union(union(sF9,sF9),empty_set)) | (~spl19_8 | ~spl19_658)), 83.95/12.26 inference(resolution,[],[f185965,f204])). 83.95/12.26 tff(f185965,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF9),empty_set)),sF8) | ~spl19_658), 83.95/12.26 inference(avatar_component_clause,[],[f185964])). 83.95/12.26 tff(f192665,plain,( 83.95/12.26 spl19_676 | ~spl19_13 | ~spl19_658), 83.95/12.26 inference(avatar_split_clause,[],[f190540,f185964,f138,f192663])). 83.95/12.26 tff(f190540,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF9),empty_set)),sF9) | (~spl19_13 | ~spl19_658)), 83.95/12.26 inference(resolution,[],[f185965,f235])). 83.95/12.26 tff(f192660,plain,( 83.95/12.26 spl19_661 | ~spl19_18 | ~spl19_657), 83.95/12.26 inference(avatar_split_clause,[],[f190372,f185960,f158,f187896])). 83.95/12.26 tff(f187896,plain,( 83.95/12.26 spl19_661 <=> member(sK0(union(union(sF9,sF9),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_661])])). 83.95/12.26 tff(f190372,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF9),empty_set)),sF18) | (~spl19_18 | ~spl19_657)), 83.95/12.26 inference(resolution,[],[f185961,f243])). 83.95/12.26 tff(f185961,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF9),empty_set)),sK5) | ~spl19_657), 83.95/12.26 inference(avatar_component_clause,[],[f185960])). 83.95/12.26 tff(f192657,plain,( 83.95/12.26 spl19_662 | ~spl19_351 | ~spl19_657), 83.95/12.26 inference(avatar_split_clause,[],[f190371,f185960,f66621,f187900])). 83.95/12.26 tff(f187900,plain,( 83.95/12.26 spl19_662 <=> member(sK0(union(union(sF9,sF9),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_662])])). 83.95/12.26 tff(f190371,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF9),empty_set)),sK2) | (~spl19_351 | ~spl19_657)), 83.95/12.26 inference(resolution,[],[f185961,f66648])). 83.95/12.26 tff(f192644,plain,( 83.95/12.26 spl19_406 | ~spl19_672), 83.95/12.26 inference(avatar_split_clause,[],[f192589,f190568,f75897])). 83.95/12.26 tff(f75897,plain,( 83.95/12.26 spl19_406 <=> empty_set = union(sF13,sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_406])])). 83.95/12.26 tff(f190568,plain,( 83.95/12.26 spl19_672 <=> empty_set = union(union(sF13,sF13),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_672])])). 83.95/12.26 tff(f192589,plain,( 83.95/12.26 empty_set = union(sF13,sF13) | ~spl19_672), 83.95/12.26 inference(resolution,[],[f192586,f59])). 83.95/12.26 tff(f192586,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF13,sF13))) ) | ~spl19_672), 83.95/12.26 inference(subsumption_resolution,[],[f192551,f162])). 83.95/12.26 tff(f192551,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF13,sF13)) | member(X0,empty_set)) ) | ~spl19_672), 83.95/12.26 inference(superposition,[],[f54,f190569])). 83.95/12.26 tff(f190569,plain,( 83.95/12.26 empty_set = union(union(sF13,sF13),empty_set) | ~spl19_672), 83.95/12.26 inference(avatar_component_clause,[],[f190568])). 83.95/12.26 tff(f192639,plain,( 83.95/12.26 spl19_675 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_672), 83.95/12.26 inference(avatar_split_clause,[],[f192574,f190568,f1281,f264,f98,f192637])). 83.95/12.26 tff(f192637,plain,( 83.95/12.26 spl19_675 <=> empty_set = difference(union(sF13,sF13),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_675])])). 83.95/12.26 tff(f192574,plain,( 83.95/12.26 empty_set = difference(union(sF13,sF13),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_672)), 83.95/12.26 inference(superposition,[],[f63946,f190569])). 83.95/12.26 tff(f192546,plain,( 83.95/12.26 spl19_672 | spl19_674 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57587,f1281,f264,f126,f98,f192544,f190568])). 83.95/12.26 tff(f192544,plain,( 83.95/12.26 spl19_674 <=> sK7 = sK0(union(union(sF13,sF13),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_674])])). 83.95/12.26 tff(f57587,plain,( 83.95/12.26 sK7 = sK0(union(union(sF13,sF13),empty_set)) | empty_set = union(union(sF13,sF13),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54808,f206])). 83.95/12.26 tff(f192542,plain,( 83.95/12.26 spl19_673 | ~spl19_16 | ~spl19_655), 83.95/12.26 inference(avatar_split_clause,[],[f185958,f179731,f150,f192540])). 83.95/12.26 tff(f192540,plain,( 83.95/12.26 spl19_673 <=> member(sK0(union(union(sF9,sF9),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_673])])). 83.95/12.26 tff(f179731,plain,( 83.95/12.26 spl19_655 <=> member(sK0(union(union(sF9,sF9),empty_set)),sF12)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_655])])). 83.95/12.26 tff(f185958,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF9),empty_set)),sF14) | (~spl19_16 | ~spl19_655)), 83.95/12.26 inference(resolution,[],[f179732,f244])). 83.95/12.26 tff(f179732,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF9),empty_set)),sF12) | ~spl19_655), 83.95/12.26 inference(avatar_component_clause,[],[f179731])). 83.95/12.26 tff(f190570,plain,( 83.95/12.26 spl19_671 | spl19_672 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57586,f1281,f264,f150,f98,f190568,f190565])). 83.95/12.26 tff(f190565,plain,( 83.95/12.26 spl19_671 <=> member(sK0(union(union(sF13,sF13),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_671])])). 83.95/12.26 tff(f57586,plain,( 83.95/12.26 empty_set = union(union(sF13,sF13),empty_set) | member(sK0(union(union(sF13,sF13),empty_set)),sF14) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54808,f239])). 83.95/12.26 tff(f190527,plain,( 83.95/12.26 ~spl19_3 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_66 | ~spl19_668), 83.95/12.26 inference(avatar_contradiction_clause,[],[f190526])). 83.95/12.26 tff(f190526,plain,( 83.95/12.26 $false | (~spl19_3 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_66 | ~spl19_668)), 83.95/12.26 inference(resolution,[],[f190428,f489])). 83.95/12.26 tff(f190428,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF9)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_668)), 83.95/12.26 inference(resolution,[],[f190419,f65201])). 83.95/12.26 tff(f190419,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF12,sF12))) ) | ~spl19_668), 83.95/12.26 inference(subsumption_resolution,[],[f190385,f162])). 83.95/12.26 tff(f190385,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF12,sF12)) | member(X0,empty_set)) ) | ~spl19_668), 83.95/12.26 inference(superposition,[],[f54,f190376])). 83.95/12.26 tff(f190376,plain,( 83.95/12.26 empty_set = union(union(sF12,sF12),empty_set) | ~spl19_668), 83.95/12.26 inference(avatar_component_clause,[],[f190375])). 83.95/12.26 tff(f190375,plain,( 83.95/12.26 spl19_668 <=> empty_set = union(union(sF12,sF12),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_668])])). 83.95/12.26 tff(f190424,plain,( 83.95/12.26 spl19_670 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_668), 83.95/12.26 inference(avatar_split_clause,[],[f190408,f190375,f1281,f264,f98,f190422])). 83.95/12.26 tff(f190422,plain,( 83.95/12.26 spl19_670 <=> empty_set = difference(union(sF12,sF12),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_670])])). 83.95/12.26 tff(f190408,plain,( 83.95/12.26 empty_set = difference(union(sF12,sF12),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_668)), 83.95/12.26 inference(superposition,[],[f63946,f190376])). 83.95/12.26 tff(f190380,plain,( 83.95/12.26 spl19_668 | spl19_669 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57582,f1281,f264,f150,f98,f190378,f190375])). 83.95/12.26 tff(f57582,plain,( 83.95/12.26 member(sK0(union(union(sF12,sF12),empty_set)),sF14) | empty_set = union(union(sF12,sF12),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54808,f244])). 83.95/12.26 tff(f188310,plain,( 83.95/12.26 spl19_667 | spl19_660 | ~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57580,f1281,f264,f146,f98,f185973,f188308])). 83.95/12.26 tff(f188308,plain,( 83.95/12.26 spl19_667 <=> member(sK0(union(union(sF11,sF11),empty_set)),sF12)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_667])])). 83.95/12.26 tff(f185973,plain,( 83.95/12.26 spl19_660 <=> empty_set = union(union(sF11,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_660])])). 83.95/12.26 tff(f57580,plain,( 83.95/12.26 empty_set = union(union(sF11,sF11),empty_set) | member(sK0(union(union(sF11,sF11),empty_set)),sF12) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54808,f237])). 83.95/12.26 tff(f188303,plain,( 83.95/12.26 ~spl19_41 | ~spl19_654), 83.95/12.26 inference(avatar_contradiction_clause,[],[f188302])). 83.95/12.26 tff(f188302,plain,( 83.95/12.26 $false | (~spl19_41 | ~spl19_654)), 83.95/12.26 inference(resolution,[],[f188104,f489])). 83.95/12.26 tff(f188104,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF9)) ) | ~spl19_654), 83.95/12.26 inference(resolution,[],[f188100,f54])). 83.95/12.26 tff(f188100,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF9,sF9))) ) | ~spl19_654), 83.95/12.26 inference(subsumption_resolution,[],[f188068,f162])). 83.95/12.26 tff(f188068,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF9,sF9)) | member(X0,empty_set)) ) | ~spl19_654), 83.95/12.26 inference(superposition,[],[f54,f179729])). 83.95/12.26 tff(f179729,plain,( 83.95/12.26 empty_set = union(union(sF9,sF9),empty_set) | ~spl19_654), 83.95/12.26 inference(avatar_component_clause,[],[f179728])). 83.95/12.26 tff(f179728,plain,( 83.95/12.26 spl19_654 <=> empty_set = union(union(sF9,sF9),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_654])])). 83.95/12.26 tff(f188156,plain,( 83.95/12.26 spl19_666 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_654), 83.95/12.26 inference(avatar_split_clause,[],[f188091,f179728,f1281,f264,f98,f188154])). 83.95/12.26 tff(f188154,plain,( 83.95/12.26 spl19_666 <=> empty_set = difference(union(sF9,sF9),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_666])])). 83.95/12.26 tff(f188091,plain,( 83.95/12.26 empty_set = difference(union(sF9,sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_654)), 83.95/12.26 inference(superposition,[],[f63946,f179729])). 83.95/12.26 tff(f188061,plain,( 83.95/12.26 spl19_665 | spl19_660 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57579,f1281,f264,f158,f98,f185973,f188059])). 83.95/12.26 tff(f188059,plain,( 83.95/12.26 spl19_665 <=> member(sK0(union(union(sF11,sF11),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_665])])). 83.95/12.26 tff(f57579,plain,( 83.95/12.26 member(sK0(union(union(sF11,sF11),empty_set)),sF18) | empty_set = union(union(sF11,sF11),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54808,f238])). 83.95/12.26 tff(f188053,plain,( 83.95/12.26 spl19_394 | ~spl19_660), 83.95/12.26 inference(avatar_split_clause,[],[f187952,f185973,f74042])). 83.95/12.26 tff(f74042,plain,( 83.95/12.26 spl19_394 <=> empty_set = union(sF11,sF11)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_394])])). 83.95/12.26 tff(f187952,plain,( 83.95/12.26 empty_set = union(sF11,sF11) | ~spl19_660), 83.95/12.26 inference(resolution,[],[f187947,f59])). 83.95/12.26 tff(f187947,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF11,sF11))) ) | ~spl19_660), 83.95/12.26 inference(subsumption_resolution,[],[f187914,f162])). 83.95/12.26 tff(f187914,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF11,sF11)) | member(X0,empty_set)) ) | ~spl19_660), 83.95/12.26 inference(superposition,[],[f54,f185974])). 83.95/12.26 tff(f185974,plain,( 83.95/12.26 empty_set = union(union(sF11,sF11),empty_set) | ~spl19_660), 83.95/12.26 inference(avatar_component_clause,[],[f185973])). 83.95/12.26 tff(f188002,plain,( 83.95/12.26 spl19_664 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_660), 83.95/12.26 inference(avatar_split_clause,[],[f187937,f185973,f1281,f264,f98,f188000])). 83.95/12.26 tff(f188000,plain,( 83.95/12.26 spl19_664 <=> empty_set = difference(union(sF11,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_664])])). 83.95/12.26 tff(f187937,plain,( 83.95/12.26 empty_set = difference(union(sF11,sF11),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_660)), 83.95/12.26 inference(superposition,[],[f63946,f185974])). 83.95/12.26 tff(f187910,plain,( 83.95/12.26 ~spl19_663 | spl19_660 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141), 83.95/12.26 inference(avatar_split_clause,[],[f57578,f51939,f1281,f264,f98,f185973,f187908])). 83.95/12.26 tff(f187908,plain,( 83.95/12.26 spl19_663 <=> member(sK0(union(union(sF11,sF11),empty_set)),sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_663])])). 83.95/12.26 tff(f57578,plain,( 83.95/12.26 ~member(sK0(union(union(sF11,sF11),empty_set)),sF9) | empty_set = union(union(sF11,sF11),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(resolution,[],[f54808,f51950])). 83.95/12.26 tff(f187902,plain,( 83.95/12.26 spl19_662 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_658), 83.95/12.26 inference(avatar_split_clause,[],[f187891,f185964,f1281,f540,f264,f118,f98,f187900])). 83.95/12.26 tff(f187891,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF9),empty_set)),sK2) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_658)), 83.95/12.26 inference(resolution,[],[f185965,f59335])). 83.95/12.26 tff(f187898,plain,( 83.95/12.26 spl19_661 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_658), 83.95/12.26 inference(avatar_split_clause,[],[f187889,f185964,f1281,f535,f264,f118,f98,f187896])). 83.95/12.26 tff(f187889,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF9),empty_set)),sF18) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_658)), 83.95/12.26 inference(resolution,[],[f185965,f59341])). 83.95/12.26 tff(f185975,plain,( 83.95/12.26 spl19_659 | spl19_660 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57576,f1281,f264,f122,f98,f185973,f185970])). 83.95/12.26 tff(f185970,plain,( 83.95/12.26 spl19_659 <=> sK6 = sK0(union(union(sF11,sF11),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_659])])). 83.95/12.26 tff(f57576,plain,( 83.95/12.26 sK6 = sK0(union(union(sF11,sF11),empty_set)) | empty_set = union(union(sF11,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54808,f205])). 83.95/12.26 tff(f185966,plain,( 83.95/12.26 spl19_654 | spl19_658 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64), 83.95/12.26 inference(avatar_split_clause,[],[f57575,f1429,f1281,f264,f98,f185964,f179728])). 83.95/12.26 tff(f57575,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF9),empty_set)),sF8) | empty_set = union(union(sF9,sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(resolution,[],[f54808,f2677])). 83.95/12.26 tff(f185962,plain,( 83.95/12.26 spl19_657 | spl19_654 | ~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57572,f1281,f264,f106,f98,f179728,f185960])). 83.95/12.26 tff(f57572,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF9),empty_set)),sK5) | empty_set = union(union(sF9,sF9),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54808,f271])). 83.95/12.26 tff(f183665,plain,( 83.95/12.26 ~spl19_42 | ~spl19_647), 83.95/12.26 inference(avatar_contradiction_clause,[],[f183657])). 83.95/12.26 tff(f183657,plain,( 83.95/12.26 $false | (~spl19_42 | ~spl19_647)), 83.95/12.26 inference(resolution,[],[f183544,f494])). 83.95/12.26 tff(f183544,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sK5)) ) | ~spl19_647), 83.95/12.26 inference(resolution,[],[f179823,f54])). 83.95/12.26 tff(f179823,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sK5,sK5))) ) | ~spl19_647), 83.95/12.26 inference(subsumption_resolution,[],[f179789,f162])). 83.95/12.26 tff(f179789,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sK5,sK5)) | member(X0,empty_set)) ) | ~spl19_647), 83.95/12.26 inference(superposition,[],[f54,f179131])). 83.95/12.26 tff(f179131,plain,( 83.95/12.26 empty_set = union(union(sK5,sK5),empty_set) | ~spl19_647), 83.95/12.26 inference(avatar_component_clause,[],[f179130])). 83.95/12.26 tff(f179130,plain,( 83.95/12.26 spl19_647 <=> empty_set = union(union(sK5,sK5),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_647])])). 83.95/12.26 tff(f183664,plain,( 83.95/12.26 ~spl19_356 | ~spl19_647), 83.95/12.26 inference(avatar_contradiction_clause,[],[f183599])). 83.95/12.26 tff(f183599,plain,( 83.95/12.26 $false | (~spl19_356 | ~spl19_647)), 83.95/12.26 inference(resolution,[],[f183544,f67170])). 83.95/12.26 tff(f183663,plain,( 83.95/12.26 ~spl19_105 | ~spl19_647), 83.95/12.26 inference(avatar_contradiction_clause,[],[f183609])). 83.95/12.26 tff(f183609,plain,( 83.95/12.26 $false | (~spl19_105 | ~spl19_647)), 83.95/12.26 inference(resolution,[],[f183544,f9609])). 83.95/12.26 tff(f183662,plain,( 83.95/12.26 ~spl19_107 | ~spl19_647), 83.95/12.26 inference(avatar_contradiction_clause,[],[f183598])). 83.95/12.26 tff(f183598,plain,( 83.95/12.26 $false | (~spl19_107 | ~spl19_647)), 83.95/12.26 inference(resolution,[],[f183544,f11217])). 83.95/12.26 tff(f183661,plain,( 83.95/12.26 ~spl19_225 | ~spl19_647), 83.95/12.26 inference(avatar_contradiction_clause,[],[f183606])). 83.95/12.26 tff(f183606,plain,( 83.95/12.26 $false | (~spl19_225 | ~spl19_647)), 83.95/12.26 inference(resolution,[],[f183544,f54538])). 83.95/12.26 tff(f183660,plain,( 83.95/12.26 ~spl19_130 | ~spl19_647), 83.95/12.26 inference(avatar_contradiction_clause,[],[f183610])). 83.95/12.26 tff(f183610,plain,( 83.95/12.26 $false | (~spl19_130 | ~spl19_647)), 83.95/12.26 inference(resolution,[],[f183544,f38992])). 83.95/12.26 tff(f183659,plain,( 83.95/12.26 ~spl19_118 | ~spl19_647), 83.95/12.26 inference(avatar_contradiction_clause,[],[f183600])). 83.95/12.26 tff(f183600,plain,( 83.95/12.26 $false | (~spl19_118 | ~spl19_647)), 83.95/12.26 inference(resolution,[],[f183544,f12557])). 83.95/12.26 tff(f183658,plain,( 83.95/12.26 ~spl19_421 | ~spl19_647), 83.95/12.26 inference(avatar_contradiction_clause,[],[f183605])). 83.95/12.26 tff(f183605,plain,( 83.95/12.26 $false | (~spl19_421 | ~spl19_647)), 83.95/12.26 inference(resolution,[],[f183544,f76890])). 83.95/12.26 tff(f183539,plain,( 83.95/12.26 spl19_656 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_647), 83.95/12.26 inference(avatar_split_clause,[],[f179812,f179130,f1281,f264,f98,f183537])). 83.95/12.26 tff(f183537,plain,( 83.95/12.26 spl19_656 <=> empty_set = difference(union(sK5,sK5),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_656])])). 83.95/12.26 tff(f179812,plain,( 83.95/12.26 empty_set = difference(union(sK5,sK5),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_647)), 83.95/12.26 inference(superposition,[],[f63946,f179131])). 83.95/12.26 tff(f179781,plain,( 83.95/12.26 ~spl19_3 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_64 | ~spl19_651), 83.95/12.26 inference(avatar_contradiction_clause,[],[f179780])). 83.95/12.26 tff(f179780,plain,( 83.95/12.26 $false | (~spl19_3 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_64 | ~spl19_651)), 83.95/12.26 inference(resolution,[],[f179608,f489])). 83.95/12.26 tff(f179608,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF9)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_651)), 83.95/12.26 inference(resolution,[],[f179606,f63696])). 83.95/12.26 tff(f63696,plain,( 83.95/12.26 ( ! [X0 : element,X1 : set] : (member(X0,union(sF8,X1)) | ~member(X0,sF9)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(resolution,[],[f63584,f61])). 83.95/12.26 tff(f63584,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,difference(sF9,union(sF8,X0)))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(subsumption_resolution,[],[f63577,f162])). 83.95/12.26 tff(f63577,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,difference(sF9,union(sF8,X0)))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(superposition,[],[f54,f60934])). 83.95/12.26 tff(f60934,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(difference(sF9,union(sF8,X0)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(duplicate_literal_removal,[],[f60889])). 83.95/12.26 tff(f60889,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(difference(sF9,union(sF8,X0)),empty_set) | empty_set = union(difference(sF9,union(sF8,X0)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(resolution,[],[f54289,f54317])). 83.95/12.26 tff(f179606,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF8,sF8))) ) | ~spl19_651), 83.95/12.26 inference(subsumption_resolution,[],[f179570,f162])). 83.95/12.26 tff(f179570,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF8,sF8)) | member(X0,empty_set)) ) | ~spl19_651), 83.95/12.26 inference(superposition,[],[f54,f179403])). 83.95/12.26 tff(f179403,plain,( 83.95/12.26 empty_set = union(union(sF8,sF8),empty_set) | ~spl19_651), 83.95/12.26 inference(avatar_component_clause,[],[f179402])). 83.95/12.26 tff(f179402,plain,( 83.95/12.26 spl19_651 <=> empty_set = union(union(sF8,sF8),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_651])])). 83.95/12.26 tff(f179733,plain,( 83.95/12.26 spl19_654 | spl19_655 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.26 inference(avatar_split_clause,[],[f57571,f1443,f1281,f264,f98,f179731,f179728])). 83.95/12.26 tff(f57571,plain,( 83.95/12.26 member(sK0(union(union(sF9,sF9),empty_set)),sF12) | empty_set = union(union(sF9,sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54808,f53667])). 83.95/12.26 tff(f179664,plain,( 83.95/12.26 spl19_653 | ~spl19_651), 83.95/12.26 inference(avatar_split_clause,[],[f179612,f179402,f179662])). 83.95/12.26 tff(f179612,plain,( 83.95/12.26 empty_set = union(sF8,sF8) | ~spl19_651), 83.95/12.26 inference(resolution,[],[f179606,f59])). 83.95/12.26 tff(f179602,plain,( 83.95/12.26 spl19_579 | ~spl19_650 | ~spl19_651), 83.95/12.26 inference(avatar_contradiction_clause,[],[f179601])). 83.95/12.26 tff(f179601,plain,( 83.95/12.26 $false | (spl19_579 | ~spl19_650 | ~spl19_651)), 83.95/12.26 inference(subsumption_resolution,[],[f179566,f145268])). 83.95/12.26 tff(f145268,plain,( 83.95/12.26 ~member(sK0(empty_set),sF9) | spl19_579), 83.95/12.26 inference(avatar_component_clause,[],[f145267])). 83.95/12.26 tff(f145267,plain,( 83.95/12.26 spl19_579 <=> member(sK0(empty_set),sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_579])])). 83.95/12.26 tff(f179566,plain,( 83.95/12.26 member(sK0(empty_set),sF9) | (~spl19_650 | ~spl19_651)), 83.95/12.26 inference(backward_demodulation,[],[f179400,f179403])). 83.95/12.26 tff(f179400,plain,( 83.95/12.26 member(sK0(union(union(sF8,sF8),empty_set)),sF9) | ~spl19_650), 83.95/12.26 inference(avatar_component_clause,[],[f179399])). 83.95/12.26 tff(f179399,plain,( 83.95/12.26 spl19_650 <=> member(sK0(union(union(sF8,sF8),empty_set)),sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_650])])). 83.95/12.26 tff(f179415,plain,( 83.95/12.26 spl19_652 | spl19_651 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57570,f1281,f264,f118,f98,f179402,f179413])). 83.95/12.26 tff(f179413,plain,( 83.95/12.26 spl19_652 <=> sK1 = sK0(union(union(sF8,sF8),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_652])])). 83.95/12.26 tff(f57570,plain,( 83.95/12.26 empty_set = union(union(sF8,sF8),empty_set) | sK1 = sK0(union(union(sF8,sF8),empty_set)) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54808,f204])). 83.95/12.26 tff(f179404,plain,( 83.95/12.26 spl19_650 | spl19_651 | ~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57569,f1281,f264,f138,f98,f179402,f179399])). 83.95/12.26 tff(f57569,plain,( 83.95/12.26 member(sK0(union(union(sF8,sF8),empty_set)),sF9) | empty_set = union(union(sF8,sF8),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54808,f235])). 83.95/12.26 tff(f179179,plain,( 83.95/12.26 spl19_649 | ~spl19_7 | ~spl19_646), 83.95/12.26 inference(avatar_split_clause,[],[f179170,f179127,f114,f179177])). 83.95/12.26 tff(f179170,plain,( 83.95/12.26 member(sK0(union(union(sK5,sK5),empty_set)),sK2) | (~spl19_7 | ~spl19_646)), 83.95/12.26 inference(resolution,[],[f179128,f272])). 83.95/12.26 tff(f179174,plain,( 83.95/12.26 ~spl19_648 | ~spl19_145 | ~spl19_646), 83.95/12.26 inference(avatar_split_clause,[],[f179168,f179127,f52201,f179172])). 83.95/12.26 tff(f179172,plain,( 83.95/12.26 spl19_648 <=> member(sK0(union(union(sK5,sK5),empty_set)),sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_648])])). 83.95/12.26 tff(f179168,plain,( 83.95/12.26 ~member(sK0(union(union(sK5,sK5),empty_set)),sF13) | (~spl19_145 | ~spl19_646)), 83.95/12.26 inference(resolution,[],[f179128,f52220])). 83.95/12.26 tff(f179132,plain,( 83.95/12.26 spl19_646 | spl19_647 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57567,f1281,f264,f158,f98,f179130,f179127])). 83.95/12.26 tff(f57567,plain,( 83.95/12.26 member(sK0(union(union(sK5,sK5),empty_set)),sF18) | empty_set = union(union(sK5,sK5),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54808,f243])). 83.95/12.26 tff(f178985,plain,( 83.95/12.26 spl19_645 | spl19_642 | ~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57382,f1281,f264,f114,f98,f172833,f178983])). 83.95/12.26 tff(f172833,plain,( 83.95/12.26 spl19_642 <=> empty_set = union(union(sF18,empty_set),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_642])])). 83.95/12.26 tff(f57382,plain,( 83.95/12.26 empty_set = union(union(sF18,empty_set),empty_set) | member(sK0(union(union(sF18,empty_set),empty_set)),sK2) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54777,f272])). 83.95/12.26 tff(f54777,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(union(X0,empty_set),empty_set)),X0) | empty_set = union(union(X0,empty_set),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53900,f162])). 83.95/12.26 tff(f173209,plain,( 83.95/12.26 ~spl19_109 | ~spl19_642), 83.95/12.26 inference(avatar_contradiction_clause,[],[f173135])). 83.95/12.26 tff(f173135,plain,( 83.95/12.26 $false | (~spl19_109 | ~spl19_642)), 83.95/12.26 inference(resolution,[],[f173078,f11336])). 83.95/12.26 tff(f173078,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF18)) ) | ~spl19_642), 83.95/12.26 inference(resolution,[],[f172931,f54])). 83.95/12.26 tff(f172931,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF18,empty_set))) ) | ~spl19_642), 83.95/12.26 inference(subsumption_resolution,[],[f172896,f162])). 83.95/12.26 tff(f172896,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF18,empty_set)) | member(X0,empty_set)) ) | ~spl19_642), 83.95/12.26 inference(superposition,[],[f54,f172834])). 83.95/12.26 tff(f172834,plain,( 83.95/12.26 empty_set = union(union(sF18,empty_set),empty_set) | ~spl19_642), 83.95/12.26 inference(avatar_component_clause,[],[f172833])). 83.95/12.26 tff(f173208,plain,( 83.95/12.26 ~spl19_84 | ~spl19_642), 83.95/12.26 inference(avatar_contradiction_clause,[],[f173149])). 83.95/12.26 tff(f173149,plain,( 83.95/12.26 $false | (~spl19_84 | ~spl19_642)), 83.95/12.26 inference(resolution,[],[f173078,f2011])). 83.95/12.26 tff(f173207,plain,( 83.95/12.26 ~spl19_131 | ~spl19_642), 83.95/12.26 inference(avatar_contradiction_clause,[],[f173150])). 83.95/12.26 tff(f173150,plain,( 83.95/12.26 $false | (~spl19_131 | ~spl19_642)), 83.95/12.26 inference(resolution,[],[f173078,f38999])). 83.95/12.26 tff(f173206,plain,( 83.95/12.26 ~spl19_48 | ~spl19_642), 83.95/12.26 inference(avatar_contradiction_clause,[],[f173197])). 83.95/12.26 tff(f173197,plain,( 83.95/12.26 $false | (~spl19_48 | ~spl19_642)), 83.95/12.26 inference(resolution,[],[f173078,f536])). 83.95/12.26 tff(f173205,plain,( 83.95/12.26 ~spl19_45 | ~spl19_642), 83.95/12.26 inference(avatar_contradiction_clause,[],[f173198])). 83.95/12.26 tff(f173198,plain,( 83.95/12.26 $false | (~spl19_45 | ~spl19_642)), 83.95/12.26 inference(resolution,[],[f173078,f514])). 83.95/12.26 tff(f173204,plain,( 83.95/12.26 ~spl19_359 | ~spl19_642), 83.95/12.26 inference(avatar_contradiction_clause,[],[f173136])). 83.95/12.26 tff(f173136,plain,( 83.95/12.26 $false | (~spl19_359 | ~spl19_642)), 83.95/12.26 inference(resolution,[],[f173078,f67260])). 83.95/12.26 tff(f173203,plain,( 83.95/12.26 ~spl19_115 | ~spl19_642), 83.95/12.26 inference(avatar_contradiction_clause,[],[f173137])). 83.95/12.26 tff(f173137,plain,( 83.95/12.26 $false | (~spl19_115 | ~spl19_642)), 83.95/12.26 inference(resolution,[],[f173078,f11926])). 83.95/12.26 tff(f173202,plain,( 83.95/12.26 ~spl19_564 | ~spl19_642), 83.95/12.26 inference(avatar_contradiction_clause,[],[f173143])). 83.95/12.26 tff(f173143,plain,( 83.95/12.26 $false | (~spl19_564 | ~spl19_642)), 83.95/12.26 inference(resolution,[],[f173078,f141271])). 83.95/12.26 tff(f173201,plain,( 83.95/12.26 ~spl19_191 | ~spl19_642), 83.95/12.26 inference(avatar_contradiction_clause,[],[f173144])). 83.95/12.26 tff(f173144,plain,( 83.95/12.26 $false | (~spl19_191 | ~spl19_642)), 83.95/12.26 inference(resolution,[],[f173078,f53940])). 83.95/12.26 tff(f173200,plain,( 83.95/12.26 ~spl19_618 | ~spl19_642), 83.95/12.26 inference(avatar_contradiction_clause,[],[f173141])). 83.95/12.26 tff(f173141,plain,( 83.95/12.26 $false | (~spl19_618 | ~spl19_642)), 83.95/12.26 inference(resolution,[],[f173078,f158116])). 83.95/12.26 tff(f173199,plain,( 83.95/12.26 ~spl19_248 | ~spl19_642), 83.95/12.26 inference(avatar_contradiction_clause,[],[f173145])). 83.95/12.26 tff(f173145,plain,( 83.95/12.26 $false | (~spl19_248 | ~spl19_642)), 83.95/12.26 inference(resolution,[],[f173078,f54928])). 83.95/12.26 tff(f173074,plain,( 83.95/12.26 spl19_644 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_642), 83.95/12.26 inference(avatar_split_clause,[],[f172919,f172833,f1281,f264,f98,f173072])). 83.95/12.26 tff(f173072,plain,( 83.95/12.26 spl19_644 <=> empty_set = difference(union(sF18,empty_set),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_644])])). 83.95/12.26 tff(f172919,plain,( 83.95/12.26 empty_set = difference(union(sF18,empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_642)), 83.95/12.26 inference(superposition,[],[f63946,f172834])). 83.95/12.26 tff(f172838,plain,( 83.95/12.26 spl19_642 | ~spl19_643 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.95/12.26 inference(avatar_split_clause,[],[f57380,f52201,f1281,f264,f98,f172836,f172833])). 83.95/12.26 tff(f172836,plain,( 83.95/12.26 spl19_643 <=> member(sK0(union(union(sF18,empty_set),empty_set)),sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_643])])). 83.95/12.26 tff(f57380,plain,( 83.95/12.26 ~member(sK0(union(union(sF18,empty_set),empty_set)),sF13) | empty_set = union(union(sF18,empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.95/12.26 inference(resolution,[],[f54777,f52220])). 83.95/12.26 tff(f171701,plain,( 83.95/12.26 ~spl19_218 | ~spl19_640), 83.95/12.26 inference(avatar_contradiction_clause,[],[f171700])). 83.95/12.26 tff(f171700,plain,( 83.95/12.26 $false | (~spl19_218 | ~spl19_640)), 83.95/12.26 inference(resolution,[],[f171650,f54199])). 83.95/12.26 tff(f54199,plain,( 83.95/12.26 member(sK7,union(sF13,empty_set)) | ~spl19_218), 83.95/12.26 inference(avatar_component_clause,[],[f54198])). 83.95/12.26 tff(f54198,plain,( 83.95/12.26 spl19_218 <=> member(sK7,union(sF13,empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_218])])). 83.95/12.26 tff(f171650,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF13,empty_set))) ) | ~spl19_640), 83.95/12.26 inference(subsumption_resolution,[],[f171615,f162])). 83.95/12.26 tff(f171615,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,union(sF13,empty_set))) ) | ~spl19_640), 83.95/12.26 inference(superposition,[],[f54,f170307])). 83.95/12.26 tff(f170307,plain,( 83.95/12.26 empty_set = union(union(sF13,empty_set),empty_set) | ~spl19_640), 83.95/12.26 inference(avatar_component_clause,[],[f170306])). 83.95/12.26 tff(f170306,plain,( 83.95/12.26 spl19_640 <=> empty_set = union(union(sF13,empty_set),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_640])])). 83.95/12.26 tff(f170618,plain,( 83.95/12.26 spl19_641 | spl19_640 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57378,f1281,f264,f126,f98,f170306,f170616])). 83.95/12.26 tff(f170616,plain,( 83.95/12.26 spl19_641 <=> sK7 = sK0(union(union(sF13,empty_set),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_641])])). 83.95/12.26 tff(f57378,plain,( 83.95/12.26 empty_set = union(union(sF13,empty_set),empty_set) | sK7 = sK0(union(union(sF13,empty_set),empty_set)) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54777,f206])). 83.95/12.26 tff(f170308,plain,( 83.95/12.26 spl19_639 | spl19_640 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57377,f1281,f264,f150,f98,f170306,f170303])). 83.95/12.26 tff(f170303,plain,( 83.95/12.26 spl19_639 <=> member(sK0(union(union(sF13,empty_set),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_639])])). 83.95/12.26 tff(f57377,plain,( 83.95/12.26 empty_set = union(union(sF13,empty_set),empty_set) | member(sK0(union(union(sF13,empty_set),empty_set)),sF14) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54777,f239])). 83.95/12.26 tff(f170127,plain,( 83.95/12.26 spl19_637 | spl19_638 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57373,f1281,f264,f150,f98,f170125,f170122])). 83.95/12.26 tff(f170122,plain,( 83.95/12.26 spl19_637 <=> member(sK0(union(union(sF12,empty_set),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_637])])). 83.95/12.26 tff(f170125,plain,( 83.95/12.26 spl19_638 <=> empty_set = union(union(sF12,empty_set),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_638])])). 83.95/12.26 tff(f57373,plain,( 83.95/12.26 empty_set = union(union(sF12,empty_set),empty_set) | member(sK0(union(union(sF12,empty_set),empty_set)),sF14) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54777,f244])). 83.95/12.26 tff(f167596,plain,( 83.95/12.26 spl19_636 | ~spl19_8 | ~spl19_629), 83.95/12.26 inference(avatar_split_clause,[],[f164920,f164785,f118,f167594])). 83.95/12.26 tff(f167594,plain,( 83.95/12.26 spl19_636 <=> sK1 = sK0(union(union(sF9,empty_set),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_636])])). 83.95/12.26 tff(f164785,plain,( 83.95/12.26 spl19_629 <=> member(sK0(union(union(sF9,empty_set),empty_set)),sF8)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_629])])). 83.95/12.26 tff(f164920,plain,( 83.95/12.26 sK1 = sK0(union(union(sF9,empty_set),empty_set)) | (~spl19_8 | ~spl19_629)), 83.95/12.26 inference(resolution,[],[f164786,f204])). 83.95/12.26 tff(f164786,plain,( 83.95/12.26 member(sK0(union(union(sF9,empty_set),empty_set)),sF8) | ~spl19_629), 83.95/12.26 inference(avatar_component_clause,[],[f164785])). 83.95/12.26 tff(f167217,plain,( 83.95/12.26 spl19_635 | ~spl19_13 | ~spl19_629), 83.95/12.26 inference(avatar_split_clause,[],[f164919,f164785,f138,f167215])). 83.95/12.26 tff(f167215,plain,( 83.95/12.26 spl19_635 <=> member(sK0(union(union(sF9,empty_set),empty_set)),sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_635])])). 83.95/12.26 tff(f164919,plain,( 83.95/12.26 member(sK0(union(union(sF9,empty_set),empty_set)),sF9) | (~spl19_13 | ~spl19_629)), 83.95/12.26 inference(resolution,[],[f164786,f235])). 83.95/12.26 tff(f167213,plain,( 83.95/12.26 spl19_630 | ~spl19_18 | ~spl19_627), 83.95/12.26 inference(avatar_split_clause,[],[f162158,f162004,f158,f164922])). 83.95/12.26 tff(f164922,plain,( 83.95/12.26 spl19_630 <=> member(sK0(union(union(sF9,empty_set),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_630])])). 83.95/12.26 tff(f162004,plain,( 83.95/12.26 spl19_627 <=> member(sK0(union(union(sF9,empty_set),empty_set)),sK5)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_627])])). 83.95/12.26 tff(f162158,plain,( 83.95/12.26 member(sK0(union(union(sF9,empty_set),empty_set)),sF18) | (~spl19_18 | ~spl19_627)), 83.95/12.26 inference(resolution,[],[f162005,f243])). 83.95/12.26 tff(f162005,plain,( 83.95/12.26 member(sK0(union(union(sF9,empty_set),empty_set)),sK5) | ~spl19_627), 83.95/12.26 inference(avatar_component_clause,[],[f162004])). 83.95/12.26 tff(f167172,plain,( 83.95/12.26 spl19_633 | ~spl19_351 | ~spl19_627), 83.95/12.26 inference(avatar_split_clause,[],[f162157,f162004,f66621,f165593])). 83.95/12.26 tff(f165593,plain,( 83.95/12.26 spl19_633 <=> member(sK0(union(union(sF9,empty_set),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_633])])). 83.95/12.26 tff(f162157,plain,( 83.95/12.26 member(sK0(union(union(sF9,empty_set),empty_set)),sK2) | (~spl19_351 | ~spl19_627)), 83.95/12.26 inference(resolution,[],[f162005,f66648])). 83.95/12.26 tff(f167139,plain,( 83.95/12.26 spl19_634 | ~spl19_16 | ~spl19_625), 83.95/12.26 inference(avatar_split_clause,[],[f162156,f161770,f150,f167137])). 83.95/12.26 tff(f167137,plain,( 83.95/12.26 spl19_634 <=> member(sK0(union(union(sF9,empty_set),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_634])])). 83.95/12.26 tff(f161770,plain,( 83.95/12.26 spl19_625 <=> member(sK0(union(union(sF9,empty_set),empty_set)),sF12)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_625])])). 83.95/12.26 tff(f162156,plain,( 83.95/12.26 member(sK0(union(union(sF9,empty_set),empty_set)),sF14) | (~spl19_16 | ~spl19_625)), 83.95/12.26 inference(resolution,[],[f161771,f244])). 83.95/12.26 tff(f161771,plain,( 83.95/12.26 member(sK0(union(union(sF9,empty_set),empty_set)),sF12) | ~spl19_625), 83.95/12.26 inference(avatar_component_clause,[],[f161770])). 83.95/12.26 tff(f165595,plain,( 83.95/12.26 spl19_633 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_629), 83.95/12.26 inference(avatar_split_clause,[],[f164917,f164785,f1281,f540,f264,f118,f98,f165593])). 83.95/12.26 tff(f164917,plain,( 83.95/12.26 member(sK0(union(union(sF9,empty_set),empty_set)),sK2) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_629)), 83.95/12.26 inference(resolution,[],[f164786,f59335])). 83.95/12.26 tff(f165427,plain,( 83.95/12.26 ~spl19_20 | ~spl19_101 | ~spl19_631), 83.95/12.26 inference(avatar_contradiction_clause,[],[f165426])). 83.95/12.26 tff(f165426,plain,( 83.95/12.26 $false | (~spl19_20 | ~spl19_101 | ~spl19_631)), 83.95/12.26 inference(evaluation,[],[f165425])). 83.95/12.26 tff(f165425,plain,( 83.95/12.26 0 = 1 | (~spl19_20 | ~spl19_101 | ~spl19_631)), 83.95/12.26 inference(forward_demodulation,[],[f165424,f182])). 83.95/12.26 tff(f165424,plain,( 83.95/12.26 1 = cardinality(empty_set) | (~spl19_20 | ~spl19_101 | ~spl19_631)), 83.95/12.26 inference(forward_demodulation,[],[f165393,f6910])). 83.95/12.26 tff(f6910,plain,( 83.95/12.26 1 = cardinality(union(sF11,empty_set)) | ~spl19_101), 83.95/12.26 inference(avatar_component_clause,[],[f6909])). 83.95/12.26 tff(f6909,plain,( 83.95/12.26 spl19_101 <=> 1 = cardinality(union(sF11,empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_101])])). 83.95/12.26 tff(f165393,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(union(sF11,empty_set)) | (~spl19_20 | ~spl19_631)), 83.95/12.26 inference(superposition,[],[f6110,f165387])). 83.95/12.26 tff(f165387,plain,( 83.95/12.26 empty_set = union(union(sF11,empty_set),empty_set) | ~spl19_631), 83.95/12.26 inference(avatar_component_clause,[],[f165386])). 83.95/12.26 tff(f165386,plain,( 83.95/12.26 spl19_631 <=> empty_set = union(union(sF11,empty_set),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_631])])). 83.95/12.26 tff(f165391,plain,( 83.95/12.26 spl19_631 | spl19_632 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57367,f1281,f264,f122,f98,f165389,f165386])). 83.95/12.26 tff(f165389,plain,( 83.95/12.26 spl19_632 <=> sK6 = sK0(union(union(sF11,empty_set),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_632])])). 83.95/12.26 tff(f57367,plain,( 83.95/12.26 sK6 = sK0(union(union(sF11,empty_set),empty_set)) | empty_set = union(union(sF11,empty_set),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54777,f205])). 83.95/12.26 tff(f164924,plain,( 83.95/12.26 spl19_630 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_629), 83.95/12.26 inference(avatar_split_clause,[],[f164915,f164785,f1281,f535,f264,f118,f98,f164922])). 83.95/12.26 tff(f164915,plain,( 83.95/12.26 member(sK0(union(union(sF9,empty_set),empty_set)),sF18) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_629)), 83.95/12.26 inference(resolution,[],[f164786,f59341])). 83.95/12.26 tff(f164787,plain,( 83.95/12.26 spl19_626 | spl19_629 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64), 83.95/12.26 inference(avatar_split_clause,[],[f57366,f1429,f1281,f264,f98,f164785,f161773])). 83.95/12.26 tff(f161773,plain,( 83.95/12.26 spl19_626 <=> empty_set = union(union(sF9,empty_set),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_626])])). 83.95/12.26 tff(f57366,plain,( 83.95/12.26 empty_set = union(union(sF9,empty_set),empty_set) | member(sK0(union(union(sF9,empty_set),empty_set)),sF8) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(resolution,[],[f54777,f2677])). 83.95/12.26 tff(f162095,plain,( 83.95/12.26 spl19_624 | ~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314 | ~spl19_623), 83.95/12.26 inference(avatar_split_clause,[],[f162002,f160516,f58993,f51939,f1443,f1429,f1281,f264,f181,f118,f98,f161713])). 83.95/12.26 tff(f161713,plain,( 83.95/12.26 spl19_624 <=> sK1 = sK0(union(union(sF8,empty_set),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_624])])). 83.95/12.26 tff(f160516,plain,( 83.95/12.26 spl19_623 <=> member(sK0(union(union(sF8,empty_set),empty_set)),sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_623])])). 83.95/12.26 tff(f162002,plain,( 83.95/12.26 sK1 = sK0(union(union(sF8,empty_set),empty_set)) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314 | ~spl19_623)), 83.95/12.26 inference(resolution,[],[f160517,f125979])). 83.95/12.26 tff(f160517,plain,( 83.95/12.26 member(sK0(union(union(sF8,empty_set),empty_set)),sF9) | ~spl19_623), 83.95/12.26 inference(avatar_component_clause,[],[f160516])). 83.95/12.26 tff(f162093,plain,( 83.95/12.26 spl19_628 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_623), 83.95/12.26 inference(avatar_split_clause,[],[f162001,f160516,f1443,f1281,f264,f150,f98,f162091])). 83.95/12.26 tff(f162091,plain,( 83.95/12.26 spl19_628 <=> member(sK0(union(union(sF8,empty_set),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_628])])). 83.95/12.26 tff(f162001,plain,( 83.95/12.26 member(sK0(union(union(sF8,empty_set),empty_set)),sF14) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_623)), 83.95/12.26 inference(resolution,[],[f160517,f65573])). 83.95/12.26 tff(f162088,plain,( 83.95/12.26 ~spl19_234 | ~spl19_626), 83.95/12.26 inference(avatar_contradiction_clause,[],[f162087])). 83.95/12.26 tff(f162087,plain,( 83.95/12.26 $false | (~spl19_234 | ~spl19_626)), 83.95/12.26 inference(resolution,[],[f162042,f54718])). 83.95/12.26 tff(f54718,plain,( 83.95/12.26 member(sK1,union(sF9,empty_set)) | ~spl19_234), 83.95/12.26 inference(avatar_component_clause,[],[f54717])). 83.95/12.26 tff(f54717,plain,( 83.95/12.26 spl19_234 <=> member(sK1,union(sF9,empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_234])])). 83.95/12.26 tff(f162042,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sF9,empty_set))) ) | ~spl19_626), 83.95/12.26 inference(subsumption_resolution,[],[f162010,f162])). 83.95/12.26 tff(f162010,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,union(sF9,empty_set))) ) | ~spl19_626), 83.95/12.26 inference(superposition,[],[f54,f161774])). 83.95/12.26 tff(f161774,plain,( 83.95/12.26 empty_set = union(union(sF9,empty_set),empty_set) | ~spl19_626), 83.95/12.26 inference(avatar_component_clause,[],[f161773])). 83.95/12.26 tff(f162006,plain,( 83.95/12.26 spl19_626 | spl19_627 | ~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57363,f1281,f264,f106,f98,f162004,f161773])). 83.95/12.26 tff(f57363,plain,( 83.95/12.26 empty_set = union(union(sF9,empty_set),empty_set) | member(sK0(union(union(sF9,empty_set),empty_set)),sK5) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54777,f271])). 83.95/12.26 tff(f161775,plain,( 83.95/12.26 spl19_625 | spl19_626 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.26 inference(avatar_split_clause,[],[f57362,f1443,f1281,f264,f98,f161773,f161770])). 83.95/12.26 tff(f57362,plain,( 83.95/12.26 empty_set = union(union(sF9,empty_set),empty_set) | member(sK0(union(union(sF9,empty_set),empty_set)),sF12) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54777,f53667])). 83.95/12.26 tff(f161715,plain,( 83.95/12.26 spl19_622 | spl19_624 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57361,f1281,f264,f118,f98,f161713,f160513])). 83.95/12.26 tff(f160513,plain,( 83.95/12.26 spl19_622 <=> empty_set = union(union(sF8,empty_set),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_622])])). 83.95/12.26 tff(f57361,plain,( 83.95/12.26 empty_set = union(union(sF8,empty_set),empty_set) | sK1 = sK0(union(union(sF8,empty_set),empty_set)) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54777,f204])). 83.95/12.26 tff(f161084,plain,( 83.95/12.26 ~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_619), 83.95/12.26 inference(avatar_contradiction_clause,[],[f161083])). 83.95/12.26 tff(f161083,plain,( 83.95/12.26 $false | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_619)), 83.95/12.26 inference(resolution,[],[f161001,f489])). 83.95/12.26 tff(f161001,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF9)) ) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61 | ~spl19_619)), 83.95/12.26 inference(resolution,[],[f160848,f64689])). 83.95/12.26 tff(f64689,plain,( 83.95/12.26 ( ! [X0 : element,X1 : set] : (member(X0,union(sK5,X1)) | ~member(X0,sF9)) ) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f64686,f61])). 83.95/12.26 tff(f64686,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,difference(sF9,union(sK5,X0)))) ) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f64678,f162])). 83.95/12.26 tff(f64678,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,difference(sF9,union(sK5,X0))) | member(X1,empty_set)) ) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54,f60939])). 83.95/12.26 tff(f60939,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(difference(sF9,union(sK5,X0)),empty_set)) ) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f60888])). 83.95/12.26 tff(f60888,plain,( 83.95/12.26 ( ! [X0 : set] : (empty_set = union(difference(sF9,union(sK5,X0)),empty_set) | empty_set = union(difference(sF9,union(sK5,X0)),empty_set)) ) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54289,f54314])). 83.95/12.26 tff(f54314,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(difference(sF9,X0),empty_set)),sK5) | empty_set = union(difference(sF9,X0),empty_set)) ) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53902,f271])). 83.95/12.26 tff(f160848,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sK5,empty_set))) ) | ~spl19_619), 83.95/12.26 inference(subsumption_resolution,[],[f160817,f162])). 83.95/12.26 tff(f160817,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,union(sK5,empty_set)) | member(X0,empty_set)) ) | ~spl19_619), 83.95/12.26 inference(superposition,[],[f54,f158119])). 83.95/12.26 tff(f158119,plain,( 83.95/12.26 empty_set = union(union(sK5,empty_set),empty_set) | ~spl19_619), 83.95/12.26 inference(avatar_component_clause,[],[f158118])). 83.95/12.26 tff(f158118,plain,( 83.95/12.26 spl19_619 <=> empty_set = union(union(sK5,empty_set),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_619])])). 83.95/12.26 tff(f160686,plain,( 83.95/12.26 ~spl19_20 | ~spl19_102 | ~spl19_622), 83.95/12.26 inference(avatar_contradiction_clause,[],[f160685])). 83.95/12.26 tff(f160685,plain,( 83.95/12.26 $false | (~spl19_20 | ~spl19_102 | ~spl19_622)), 83.95/12.26 inference(evaluation,[],[f160684])). 83.95/12.26 tff(f160684,plain,( 83.95/12.26 0 = 1 | (~spl19_20 | ~spl19_102 | ~spl19_622)), 83.95/12.26 inference(forward_demodulation,[],[f160683,f182])). 83.95/12.26 tff(f160683,plain,( 83.95/12.26 1 = cardinality(empty_set) | (~spl19_20 | ~spl19_102 | ~spl19_622)), 83.95/12.26 inference(forward_demodulation,[],[f160648,f6914])). 83.95/12.26 tff(f6914,plain,( 83.95/12.26 1 = cardinality(union(sF8,empty_set)) | ~spl19_102), 83.95/12.26 inference(avatar_component_clause,[],[f6913])). 83.95/12.26 tff(f6913,plain,( 83.95/12.26 spl19_102 <=> 1 = cardinality(union(sF8,empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_102])])). 83.95/12.26 tff(f160648,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(union(sF8,empty_set)) | (~spl19_20 | ~spl19_622)), 83.95/12.26 inference(superposition,[],[f6110,f160514])). 83.95/12.26 tff(f160514,plain,( 83.95/12.26 empty_set = union(union(sF8,empty_set),empty_set) | ~spl19_622), 83.95/12.26 inference(avatar_component_clause,[],[f160513])). 83.95/12.26 tff(f160518,plain,( 83.95/12.26 spl19_622 | spl19_623 | ~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57360,f1281,f264,f138,f98,f160516,f160513])). 83.95/12.26 tff(f57360,plain,( 83.95/12.26 empty_set = union(union(sF8,empty_set),empty_set) | member(sK0(union(union(sF8,empty_set),empty_set)),sF9) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54777,f235])). 83.95/12.26 tff(f158336,plain,( 83.95/12.26 spl19_621 | ~spl19_7 | ~spl19_618), 83.95/12.26 inference(avatar_split_clause,[],[f158123,f158115,f114,f158334])). 83.95/12.26 tff(f158123,plain,( 83.95/12.26 member(sK0(union(union(sK5,empty_set),empty_set)),sK2) | (~spl19_7 | ~spl19_618)), 83.95/12.26 inference(resolution,[],[f158116,f272])). 83.95/12.26 tff(f158127,plain,( 83.95/12.26 ~spl19_620 | ~spl19_145 | ~spl19_618), 83.95/12.26 inference(avatar_split_clause,[],[f158121,f158115,f52201,f158125])). 83.95/12.26 tff(f158125,plain,( 83.95/12.26 spl19_620 <=> member(sK0(union(union(sK5,empty_set),empty_set)),sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_620])])). 83.95/12.26 tff(f158121,plain,( 83.95/12.26 ~member(sK0(union(union(sK5,empty_set),empty_set)),sF13) | (~spl19_145 | ~spl19_618)), 83.95/12.26 inference(resolution,[],[f158116,f52220])). 83.95/12.26 tff(f158120,plain,( 83.95/12.26 spl19_618 | spl19_619 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f57358,f1281,f264,f158,f98,f158118,f158115])). 83.95/12.26 tff(f57358,plain,( 83.95/12.26 member(sK0(union(union(sK5,empty_set),empty_set)),sF18) | empty_set = union(union(sK5,empty_set),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54777,f243])). 83.95/12.26 tff(f157986,plain,( 83.95/12.26 spl19_617 | ~spl19_20 | ~spl19_616), 83.95/12.26 inference(avatar_split_clause,[],[f157981,f157940,f181,f157984])). 83.95/12.26 tff(f157984,plain,( 83.95/12.26 spl19_617 <=> 0 = cardinality(difference(sF11,complement(sF13)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_617])])). 83.95/12.26 tff(f157940,plain,( 83.95/12.26 spl19_616 <=> empty_set = union(difference(sF11,complement(sF13)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_616])])). 83.95/12.26 tff(f157981,plain,( 83.95/12.26 0 = cardinality(difference(sF11,complement(sF13))) | (~spl19_20 | ~spl19_616)), 83.95/12.26 inference(forward_demodulation,[],[f157946,f182])). 83.95/12.26 tff(f157946,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(difference(sF11,complement(sF13))) | (~spl19_20 | ~spl19_616)), 83.95/12.26 inference(superposition,[],[f6110,f157941])). 83.95/12.26 tff(f157941,plain,( 83.95/12.26 empty_set = union(difference(sF11,complement(sF13)),empty_set) | ~spl19_616), 83.95/12.26 inference(avatar_component_clause,[],[f157940])). 83.95/12.26 tff(f157942,plain,( 83.95/12.26 spl19_616 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.95/12.26 inference(avatar_split_clause,[],[f157937,f52201,f1281,f264,f158,f98,f157940])). 83.95/12.26 tff(f157937,plain,( 83.95/12.26 empty_set = union(difference(sF11,complement(sF13)),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.95/12.26 inference(duplicate_literal_removal,[],[f157926])). 83.95/12.26 tff(f157926,plain,( 83.95/12.26 empty_set = union(difference(sF11,complement(sF13)),empty_set) | empty_set = union(difference(sF11,complement(sF13)),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.95/12.26 inference(resolution,[],[f57007,f54292])). 83.95/12.26 tff(f57007,plain,( 83.95/12.26 ( ! [X0 : set] : (~member(sK0(union(difference(sF11,X0),empty_set)),sF13) | empty_set = union(difference(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.95/12.26 inference(resolution,[],[f54319,f52220])). 83.95/12.26 tff(f156860,plain,( 83.95/12.26 spl19_615 | ~spl19_20 | ~spl19_614), 83.95/12.26 inference(avatar_split_clause,[],[f156802,f156763,f181,f156858])). 83.95/12.26 tff(f156858,plain,( 83.95/12.26 spl19_615 <=> 0 = cardinality(intersection(sF11,complement(sF14)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_615])])). 83.95/12.26 tff(f156763,plain,( 83.95/12.26 spl19_614 <=> empty_set = union(intersection(sF11,complement(sF14)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_614])])). 83.95/12.26 tff(f156802,plain,( 83.95/12.26 0 = cardinality(intersection(sF11,complement(sF14))) | (~spl19_20 | ~spl19_614)), 83.95/12.26 inference(forward_demodulation,[],[f156769,f182])). 83.95/12.26 tff(f156769,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(intersection(sF11,complement(sF14))) | (~spl19_20 | ~spl19_614)), 83.95/12.26 inference(superposition,[],[f6110,f156764])). 83.95/12.26 tff(f156764,plain,( 83.95/12.26 empty_set = union(intersection(sF11,complement(sF14)),empty_set) | ~spl19_614), 83.95/12.26 inference(avatar_component_clause,[],[f156763])). 83.95/12.26 tff(f156765,plain,( 83.95/12.26 spl19_614 | ~spl19_3 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f156437,f1281,f264,f150,f146,f98,f156763])). 83.95/12.26 tff(f156437,plain,( 83.95/12.26 empty_set = union(intersection(sF11,complement(sF14)),empty_set) | (~spl19_3 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f156413])). 83.95/12.26 tff(f156413,plain,( 83.95/12.26 empty_set = union(intersection(sF11,complement(sF14)),empty_set) | empty_set = union(intersection(sF11,complement(sF14)),empty_set) | (~spl19_3 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f55881,f54208])). 83.95/12.26 tff(f156245,plain,( 83.95/12.26 spl19_613 | ~spl19_610), 83.95/12.26 inference(avatar_split_clause,[],[f156202,f155557,f156243])). 83.95/12.26 tff(f156243,plain,( 83.95/12.26 spl19_613 <=> empty_set = intersection(sF9,complement(sF14))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_613])])). 83.95/12.26 tff(f155557,plain,( 83.95/12.26 spl19_610 <=> empty_set = union(intersection(sF9,complement(sF14)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_610])])). 83.95/12.26 tff(f156202,plain,( 83.95/12.26 empty_set = intersection(sF9,complement(sF14)) | ~spl19_610), 83.95/12.26 inference(resolution,[],[f156153,f59])). 83.95/12.26 tff(f156153,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF9,complement(sF14)))) ) | ~spl19_610), 83.95/12.26 inference(subsumption_resolution,[],[f156124,f162])). 83.95/12.26 tff(f156124,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF9,complement(sF14))) | member(X0,empty_set)) ) | ~spl19_610), 83.95/12.26 inference(superposition,[],[f54,f155558])). 83.95/12.26 tff(f155558,plain,( 83.95/12.26 empty_set = union(intersection(sF9,complement(sF14)),empty_set) | ~spl19_610), 83.95/12.26 inference(avatar_component_clause,[],[f155557])). 83.95/12.26 tff(f156200,plain,( 83.95/12.26 spl19_612 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_610), 83.95/12.26 inference(avatar_split_clause,[],[f156145,f155557,f1281,f264,f98,f156198])). 83.95/12.26 tff(f156198,plain,( 83.95/12.26 spl19_612 <=> empty_set = difference(intersection(sF9,complement(sF14)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_612])])). 83.95/12.26 tff(f156145,plain,( 83.95/12.26 empty_set = difference(intersection(sF9,complement(sF14)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_610)), 83.95/12.26 inference(superposition,[],[f63946,f155558])). 83.95/12.26 tff(f156108,plain,( 83.95/12.26 spl19_611 | ~spl19_20 | ~spl19_609), 83.95/12.26 inference(avatar_split_clause,[],[f155654,f155553,f181,f156106])). 83.95/12.26 tff(f156106,plain,( 83.95/12.26 spl19_611 <=> 0 = cardinality(intersection(sF8,complement(sF12)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_611])])). 83.95/12.26 tff(f155553,plain,( 83.95/12.26 spl19_609 <=> empty_set = union(intersection(sF8,complement(sF12)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_609])])). 83.95/12.26 tff(f155654,plain,( 83.95/12.26 0 = cardinality(intersection(sF8,complement(sF12))) | (~spl19_20 | ~spl19_609)), 83.95/12.26 inference(forward_demodulation,[],[f155620,f182])). 83.95/12.26 tff(f155620,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(intersection(sF8,complement(sF12))) | (~spl19_20 | ~spl19_609)), 83.95/12.26 inference(superposition,[],[f6110,f155554])). 83.95/12.26 tff(f155554,plain,( 83.95/12.26 empty_set = union(intersection(sF8,complement(sF12)),empty_set) | ~spl19_609), 83.95/12.26 inference(avatar_component_clause,[],[f155553])). 83.95/12.26 tff(f155559,plain,( 83.95/12.26 spl19_610 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.26 inference(avatar_split_clause,[],[f155545,f1443,f1281,f264,f150,f98,f155557])). 83.95/12.26 tff(f155545,plain,( 83.95/12.26 empty_set = union(intersection(sF9,complement(sF14)),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(duplicate_literal_removal,[],[f155514])). 83.95/12.26 tff(f155514,plain,( 83.95/12.26 empty_set = union(intersection(sF9,complement(sF14)),empty_set) | empty_set = union(intersection(sF9,complement(sF14)),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f55638,f54208])). 83.95/12.26 tff(f55638,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sF9,X0),empty_set)),sF14) | empty_set = union(intersection(sF9,X0),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54254,f244])). 83.95/12.26 tff(f54254,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sF9,X0),empty_set)),sF12) | empty_set = union(intersection(sF9,X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f53899,f53667])). 83.95/12.26 tff(f155555,plain,( 83.95/12.26 spl19_609 | ~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.26 inference(avatar_split_clause,[],[f155244,f1443,f1281,f264,f138,f98,f155553])). 83.95/12.26 tff(f155244,plain,( 83.95/12.26 empty_set = union(intersection(sF8,complement(sF12)),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(duplicate_literal_removal,[],[f155215])). 83.95/12.26 tff(f155215,plain,( 83.95/12.26 empty_set = union(intersection(sF8,complement(sF12)),empty_set) | empty_set = union(intersection(sF8,complement(sF12)),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f55473,f54208])). 83.95/12.26 tff(f55473,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sF8,X0),empty_set)),sF12) | empty_set = union(intersection(sF8,X0),empty_set)) ) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54252,f53667])). 83.95/12.26 tff(f54252,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(sF8,X0),empty_set)),sF9) | empty_set = union(intersection(sF8,X0),empty_set)) ) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53899,f235])). 83.95/12.26 tff(f154794,plain,( 83.95/12.26 spl19_608 | ~spl19_20 | ~spl19_607), 83.95/12.26 inference(avatar_split_clause,[],[f154740,f154702,f181,f154792])). 83.95/12.26 tff(f154792,plain,( 83.95/12.26 spl19_608 <=> 0 = cardinality(intersection(complement(sF14),sF11))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_608])])). 83.95/12.26 tff(f154702,plain,( 83.95/12.26 spl19_607 <=> empty_set = union(intersection(complement(sF14),sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_607])])). 83.95/12.26 tff(f154740,plain,( 83.95/12.26 0 = cardinality(intersection(complement(sF14),sF11)) | (~spl19_20 | ~spl19_607)), 83.95/12.26 inference(forward_demodulation,[],[f154708,f182])). 83.95/12.26 tff(f154708,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(intersection(complement(sF14),sF11)) | (~spl19_20 | ~spl19_607)), 83.95/12.26 inference(superposition,[],[f6110,f154703])). 83.95/12.26 tff(f154703,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF14),sF11),empty_set) | ~spl19_607), 83.95/12.26 inference(avatar_component_clause,[],[f154702])). 83.95/12.26 tff(f154704,plain,( 83.95/12.26 spl19_607 | ~spl19_3 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f154653,f1281,f264,f150,f146,f98,f154702])). 83.95/12.26 tff(f154653,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF14),sF11),empty_set) | (~spl19_3 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f154623])). 83.95/12.26 tff(f154623,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF14),sF11),empty_set) | empty_set = union(intersection(complement(sF14),sF11),empty_set) | (~spl19_3 | ~spl19_15 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54899,f54250])). 83.95/12.26 tff(f154147,plain,( 83.95/12.26 spl19_606 | ~spl19_600), 83.95/12.26 inference(avatar_split_clause,[],[f153544,f151961,f154145])). 83.95/12.26 tff(f154145,plain,( 83.95/12.26 spl19_606 <=> empty_set = intersection(complement(sF14),sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_606])])). 83.95/12.26 tff(f151961,plain,( 83.95/12.26 spl19_600 <=> empty_set = union(intersection(complement(sF14),sF9),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_600])])). 83.95/12.26 tff(f153544,plain,( 83.95/12.26 empty_set = intersection(complement(sF14),sF9) | ~spl19_600), 83.95/12.26 inference(resolution,[],[f153371,f59])). 83.95/12.26 tff(f153371,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(complement(sF14),sF9))) ) | ~spl19_600), 83.95/12.26 inference(subsumption_resolution,[],[f153341,f162])). 83.95/12.26 tff(f153341,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,intersection(complement(sF14),sF9))) ) | ~spl19_600), 83.95/12.26 inference(superposition,[],[f54,f151962])). 83.95/12.26 tff(f151962,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF14),sF9),empty_set) | ~spl19_600), 83.95/12.26 inference(avatar_component_clause,[],[f151961])). 83.95/12.26 tff(f153378,plain,( 83.95/12.26 spl19_605 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_600), 83.95/12.26 inference(avatar_split_clause,[],[f153362,f151961,f1281,f264,f98,f153376])). 83.95/12.26 tff(f153376,plain,( 83.95/12.26 spl19_605 <=> empty_set = difference(intersection(complement(sF14),sF9),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_605])])). 83.95/12.26 tff(f153362,plain,( 83.95/12.26 empty_set = difference(intersection(complement(sF14),sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_600)), 83.95/12.26 inference(superposition,[],[f63946,f151962])). 83.95/12.26 tff(f153233,plain,( 83.95/12.26 spl19_296 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.95/12.26 inference(avatar_split_clause,[],[f153224,f52201,f1281,f264,f158,f98,f57071])). 83.95/12.26 tff(f57071,plain,( 83.95/12.26 spl19_296 <=> empty_set = union(intersection(sF13,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_296])])). 83.95/12.26 tff(f153224,plain,( 83.95/12.26 empty_set = union(intersection(sF13,sF11),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.95/12.26 inference(duplicate_literal_removal,[],[f153194])). 83.95/12.26 tff(f153194,plain,( 83.95/12.26 empty_set = union(intersection(sF13,sF11),empty_set) | empty_set = union(intersection(sF13,sF11),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.95/12.26 inference(resolution,[],[f54888,f53899])). 83.95/12.26 tff(f152969,plain,( 83.95/12.26 spl19_604 | ~spl19_20 | ~spl19_599), 83.95/12.26 inference(avatar_split_clause,[],[f152965,f151621,f181,f152967])). 83.95/12.26 tff(f152967,plain,( 83.95/12.26 spl19_604 <=> 0 = cardinality(intersection(complement(sF12),sF8))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_604])])). 83.95/12.26 tff(f151621,plain,( 83.95/12.26 spl19_599 <=> empty_set = union(intersection(complement(sF12),sF8),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_599])])). 83.95/12.26 tff(f152965,plain,( 83.95/12.26 0 = cardinality(intersection(complement(sF12),sF8)) | (~spl19_20 | ~spl19_599)), 83.95/12.26 inference(forward_demodulation,[],[f152930,f182])). 83.95/12.26 tff(f152930,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(intersection(complement(sF12),sF8)) | (~spl19_20 | ~spl19_599)), 83.95/12.26 inference(superposition,[],[f6110,f151622])). 83.95/12.26 tff(f151622,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF12),sF8),empty_set) | ~spl19_599), 83.95/12.26 inference(avatar_component_clause,[],[f151621])). 83.95/12.26 tff(f152925,plain,( 83.95/12.26 spl19_53 | ~spl19_16 | ~spl19_581 | ~spl19_583), 83.95/12.26 inference(avatar_split_clause,[],[f152924,f147022,f146287,f150,f567])). 83.95/12.26 tff(f146287,plain,( 83.95/12.26 spl19_581 <=> member(sK0(union(complement(complement(sF11)),empty_set)),sF12)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_581])])). 83.95/12.26 tff(f147022,plain,( 83.95/12.26 spl19_583 <=> sK6 = sK0(union(complement(complement(sF11)),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_583])])). 83.95/12.26 tff(f152924,plain,( 83.95/12.26 member(sK6,sF14) | (~spl19_16 | ~spl19_581 | ~spl19_583)), 83.95/12.26 inference(forward_demodulation,[],[f151573,f147023])). 83.95/12.26 tff(f147023,plain,( 83.95/12.26 sK6 = sK0(union(complement(complement(sF11)),empty_set)) | ~spl19_583), 83.95/12.26 inference(avatar_component_clause,[],[f147022])). 83.95/12.26 tff(f151573,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF11)),empty_set)),sF14) | (~spl19_16 | ~spl19_581)), 83.95/12.26 inference(resolution,[],[f146288,f244])). 83.95/12.26 tff(f146288,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF11)),empty_set)),sF12) | ~spl19_581), 83.95/12.26 inference(avatar_component_clause,[],[f146287])). 83.95/12.26 tff(f152761,plain,( 83.95/12.26 spl19_603 | ~spl19_8 | ~spl19_575), 83.95/12.26 inference(avatar_split_clause,[],[f150350,f144711,f118,f152759])). 83.95/12.26 tff(f152759,plain,( 83.95/12.26 spl19_603 <=> sK1 = sK0(union(complement(complement(sF9)),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_603])])). 83.95/12.26 tff(f144711,plain,( 83.95/12.26 spl19_575 <=> member(sK0(union(complement(complement(sF9)),empty_set)),sF8)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_575])])). 83.95/12.26 tff(f150350,plain,( 83.95/12.26 sK1 = sK0(union(complement(complement(sF9)),empty_set)) | (~spl19_8 | ~spl19_575)), 83.95/12.26 inference(resolution,[],[f144712,f204])). 83.95/12.26 tff(f144712,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF9)),empty_set)),sF8) | ~spl19_575), 83.95/12.26 inference(avatar_component_clause,[],[f144711])). 83.95/12.26 tff(f152754,plain,( 83.95/12.26 spl19_602 | ~spl19_13 | ~spl19_575), 83.95/12.26 inference(avatar_split_clause,[],[f150349,f144711,f138,f152752])). 83.95/12.26 tff(f152752,plain,( 83.95/12.26 spl19_602 <=> member(sK0(union(complement(complement(sF9)),empty_set)),sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_602])])). 83.95/12.26 tff(f150349,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF9)),empty_set)),sF9) | (~spl19_13 | ~spl19_575)), 83.95/12.26 inference(resolution,[],[f144712,f235])). 83.95/12.26 tff(f152750,plain,( 83.95/12.26 spl19_593 | ~spl19_18 | ~spl19_574), 83.95/12.26 inference(avatar_split_clause,[],[f150171,f144635,f158,f150518])). 83.95/12.26 tff(f150518,plain,( 83.95/12.26 spl19_593 <=> member(sK0(union(complement(complement(sF9)),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_593])])). 83.95/12.26 tff(f144635,plain,( 83.95/12.26 spl19_574 <=> member(sK0(union(complement(complement(sF9)),empty_set)),sK5)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_574])])). 83.95/12.26 tff(f150171,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF9)),empty_set)),sF18) | (~spl19_18 | ~spl19_574)), 83.95/12.26 inference(resolution,[],[f144636,f243])). 83.95/12.26 tff(f144636,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF9)),empty_set)),sK5) | ~spl19_574), 83.95/12.26 inference(avatar_component_clause,[],[f144635])). 83.95/12.26 tff(f152749,plain,( 83.95/12.26 spl19_594 | ~spl19_351 | ~spl19_574), 83.95/12.26 inference(avatar_split_clause,[],[f150170,f144635,f66621,f150522])). 83.95/12.26 tff(f150522,plain,( 83.95/12.26 spl19_594 <=> member(sK0(union(complement(complement(sF9)),empty_set)),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_594])])). 83.95/12.26 tff(f150170,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF9)),empty_set)),sK2) | (~spl19_351 | ~spl19_574)), 83.95/12.26 inference(resolution,[],[f144636,f66648])). 83.95/12.26 tff(f152654,plain,( 83.95/12.26 spl19_601 | ~spl19_16 | ~spl19_572), 83.95/12.26 inference(avatar_split_clause,[],[f149511,f143563,f150,f152652])). 83.95/12.26 tff(f152652,plain,( 83.95/12.26 spl19_601 <=> member(sK0(union(complement(complement(sF9)),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_601])])). 83.95/12.26 tff(f143563,plain,( 83.95/12.26 spl19_572 <=> member(sK0(union(complement(complement(sF9)),empty_set)),sF12)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_572])])). 83.95/12.26 tff(f149511,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF9)),empty_set)),sF14) | (~spl19_16 | ~spl19_572)), 83.95/12.26 inference(resolution,[],[f143564,f244])). 83.95/12.26 tff(f143564,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF9)),empty_set)),sF12) | ~spl19_572), 83.95/12.26 inference(avatar_component_clause,[],[f143563])). 83.95/12.26 tff(f151963,plain,( 83.95/12.26 spl19_600 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.26 inference(avatar_split_clause,[],[f151805,f1443,f1281,f264,f150,f98,f151961])). 83.95/12.26 tff(f151805,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF14),sF9),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(duplicate_literal_removal,[],[f151771])). 83.95/12.26 tff(f151771,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF14),sF9),empty_set) | empty_set = union(intersection(complement(sF14),sF9),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54854,f54250])). 83.95/12.26 tff(f54854,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF9),empty_set)),sF14) | empty_set = union(intersection(X0,sF9),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54212,f244])). 83.95/12.26 tff(f54212,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF9),empty_set)),sF12) | empty_set = union(intersection(X0,sF9),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f53898,f53667])). 83.95/12.26 tff(f151815,plain,( 83.95/12.26 spl19_295 | ~spl19_3 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61 | spl19_166), 83.95/12.26 inference(avatar_split_clause,[],[f151769,f53008,f1281,f264,f138,f126,f106,f98,f57065])). 83.95/12.26 tff(f57065,plain,( 83.95/12.26 spl19_295 <=> empty_set = union(intersection(sF13,sF8),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_295])])). 83.95/12.26 tff(f151769,plain,( 83.95/12.26 empty_set = union(intersection(sF13,sF8),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61 | spl19_166)), 83.95/12.26 inference(subsumption_resolution,[],[f151768,f53009])). 83.95/12.26 tff(f151768,plain,( 83.95/12.26 member(sK7,sK5) | empty_set = union(intersection(sF13,sF8),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f151761])). 83.95/12.26 tff(f151761,plain,( 83.95/12.26 member(sK7,sK5) | empty_set = union(intersection(sF13,sF8),empty_set) | empty_set = union(intersection(sF13,sF8),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54381,f54267])). 83.95/12.26 tff(f54267,plain,( 83.95/12.26 ( ! [X0 : set] : (sK7 = sK0(union(intersection(sF13,X0),empty_set)) | empty_set = union(intersection(sF13,X0),empty_set)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53899,f206])). 83.95/12.26 tff(f151623,plain,( 83.95/12.26 spl19_599 | ~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.26 inference(avatar_split_clause,[],[f151615,f1443,f1281,f264,f138,f98,f151621])). 83.95/12.26 tff(f151615,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF12),sF8),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(duplicate_literal_removal,[],[f151588])). 83.95/12.26 tff(f151588,plain,( 83.95/12.26 empty_set = union(intersection(complement(sF12),sF8),empty_set) | empty_set = union(intersection(complement(sF12),sF8),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54380,f54250])). 83.95/12.26 tff(f54380,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF8),empty_set)),sF12) | empty_set = union(intersection(X0,sF8),empty_set)) ) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54210,f53667])). 83.95/12.26 tff(f151578,plain,( 83.95/12.26 spl19_598 | ~spl19_66 | spl19_577 | ~spl19_581), 83.95/12.26 inference(avatar_split_clause,[],[f151574,f146287,f145133,f1443,f151576])). 83.95/12.26 tff(f151576,plain,( 83.95/12.26 spl19_598 <=> member(sK0(union(complement(complement(sF11)),empty_set)),sF11)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_598])])). 83.95/12.26 tff(f145133,plain,( 83.95/12.26 spl19_577 <=> member(sK0(union(complement(complement(sF11)),empty_set)),sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_577])])). 83.95/12.26 tff(f151574,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF11)),empty_set)),sF11) | (~spl19_66 | spl19_577 | ~spl19_581)), 83.95/12.26 inference(subsumption_resolution,[],[f151572,f145134])). 83.95/12.26 tff(f145134,plain,( 83.95/12.26 ~member(sK0(union(complement(complement(sF11)),empty_set)),sF9) | spl19_577), 83.95/12.26 inference(avatar_component_clause,[],[f145133])). 83.95/12.26 tff(f151572,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF11)),empty_set)),sF11) | member(sK0(union(complement(complement(sF11)),empty_set)),sF9) | (~spl19_66 | ~spl19_581)), 83.95/12.26 inference(resolution,[],[f146288,f53666])). 83.95/12.26 tff(f151387,plain,( 83.95/12.26 spl19_597 | spl19_587 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f54365,f1281,f264,f126,f98,f147602,f151385])). 83.95/12.26 tff(f151385,plain,( 83.95/12.26 spl19_597 <=> sK7 = sK0(union(complement(complement(sF13)),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_597])])). 83.95/12.26 tff(f54365,plain,( 83.95/12.26 sK7 = sK0(union(complement(complement(sF13)),empty_set)) | empty_set = union(complement(complement(sF13)),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54184,f206])). 83.95/12.26 tff(f54184,plain,( 83.95/12.26 ( ! [X0 : set] : (member(sK0(union(complement(complement(X0)),empty_set)),X0) | empty_set = union(complement(complement(X0)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53903,f57])). 83.95/12.26 tff(f151323,plain,( 83.95/12.26 ~spl19_316 | ~spl19_356 | ~spl19_592), 83.95/12.26 inference(avatar_contradiction_clause,[],[f151264])). 83.95/12.26 tff(f151264,plain,( 83.95/12.26 $false | (~spl19_316 | ~spl19_356 | ~spl19_592)), 83.95/12.26 inference(resolution,[],[f151195,f67170])). 83.95/12.26 tff(f151195,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sK5)) ) | (~spl19_316 | ~spl19_592)), 83.95/12.26 inference(resolution,[],[f151116,f61053])). 83.95/12.26 tff(f61053,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,complement(sF18)) | ~member(X0,sK5)) ) | ~spl19_316), 83.95/12.26 inference(resolution,[],[f61051,f46])). 83.95/12.26 tff(f61051,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(sK5,complement(sF18)))) ) | ~spl19_316), 83.95/12.26 inference(subsumption_resolution,[],[f61043,f162])). 83.95/12.26 tff(f61043,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(sK5,complement(sF18))) | member(X0,empty_set)) ) | ~spl19_316), 83.95/12.26 inference(superposition,[],[f54,f59052])). 83.95/12.26 tff(f59052,plain,( 83.95/12.26 empty_set = union(intersection(sK5,complement(sF18)),empty_set) | ~spl19_316), 83.95/12.26 inference(avatar_component_clause,[],[f59051])). 83.95/12.26 tff(f59051,plain,( 83.95/12.26 spl19_316 <=> empty_set = union(intersection(sK5,complement(sF18)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_316])])). 83.95/12.26 tff(f151116,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,complement(sF18))) ) | ~spl19_592), 83.95/12.26 inference(resolution,[],[f150977,f57])). 83.95/12.26 tff(f150977,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,complement(complement(sF18)))) ) | ~spl19_592), 83.95/12.26 inference(subsumption_resolution,[],[f150947,f162])). 83.95/12.26 tff(f150947,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,complement(complement(sF18)))) ) | ~spl19_592), 83.95/12.26 inference(superposition,[],[f54,f149333])). 83.95/12.26 tff(f149333,plain,( 83.95/12.26 empty_set = union(complement(complement(sF18)),empty_set) | ~spl19_592), 83.95/12.26 inference(avatar_component_clause,[],[f149332])). 83.95/12.26 tff(f149332,plain,( 83.95/12.26 spl19_592 <=> empty_set = union(complement(complement(sF18)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_592])])). 83.95/12.26 tff(f151322,plain,( 83.95/12.26 ~spl19_107 | ~spl19_316 | ~spl19_592), 83.95/12.26 inference(avatar_contradiction_clause,[],[f151263])). 83.95/12.26 tff(f151263,plain,( 83.95/12.26 $false | (~spl19_107 | ~spl19_316 | ~spl19_592)), 83.95/12.26 inference(resolution,[],[f151195,f11217])). 83.95/12.26 tff(f151321,plain,( 83.95/12.26 ~spl19_118 | ~spl19_316 | ~spl19_592), 83.95/12.26 inference(avatar_contradiction_clause,[],[f151265])). 83.95/12.26 tff(f151265,plain,( 83.95/12.26 $false | (~spl19_118 | ~spl19_316 | ~spl19_592)), 83.95/12.26 inference(resolution,[],[f151195,f12557])). 83.95/12.26 tff(f151320,plain,( 83.95/12.26 ~spl19_316 | ~spl19_574 | ~spl19_592), 83.95/12.26 inference(avatar_contradiction_clause,[],[f151270])). 83.95/12.26 tff(f151270,plain,( 83.95/12.26 $false | (~spl19_316 | ~spl19_574 | ~spl19_592)), 83.95/12.26 inference(resolution,[],[f151195,f144636])). 83.95/12.26 tff(f151319,plain,( 83.95/12.26 ~spl19_316 | ~spl19_421 | ~spl19_592), 83.95/12.26 inference(avatar_contradiction_clause,[],[f151271])). 83.95/12.26 tff(f151271,plain,( 83.95/12.26 $false | (~spl19_316 | ~spl19_421 | ~spl19_592)), 83.95/12.26 inference(resolution,[],[f151195,f76890])). 83.95/12.26 tff(f151318,plain,( 83.95/12.26 ~spl19_130 | ~spl19_316 | ~spl19_592), 83.95/12.26 inference(avatar_contradiction_clause,[],[f151276])). 83.95/12.26 tff(f151276,plain,( 83.95/12.26 $false | (~spl19_130 | ~spl19_316 | ~spl19_592)), 83.95/12.26 inference(resolution,[],[f151195,f38992])). 83.95/12.26 tff(f151317,plain,( 83.95/12.26 ~spl19_225 | ~spl19_316 | ~spl19_592), 83.95/12.26 inference(avatar_contradiction_clause,[],[f151272])). 83.95/12.26 tff(f151272,plain,( 83.95/12.26 $false | (~spl19_225 | ~spl19_316 | ~spl19_592)), 83.95/12.26 inference(resolution,[],[f151195,f54538])). 83.95/12.26 tff(f151316,plain,( 83.95/12.26 ~spl19_105 | ~spl19_316 | ~spl19_592), 83.95/12.26 inference(avatar_contradiction_clause,[],[f151275])). 83.95/12.26 tff(f151275,plain,( 83.95/12.26 $false | (~spl19_105 | ~spl19_316 | ~spl19_592)), 83.95/12.26 inference(resolution,[],[f151195,f9609])). 83.95/12.26 tff(f151315,plain,( 83.95/12.26 ~spl19_42 | ~spl19_316 | ~spl19_592), 83.95/12.26 inference(avatar_contradiction_clause,[],[f151314])). 83.95/12.26 tff(f151314,plain,( 83.95/12.26 $false | (~spl19_42 | ~spl19_316 | ~spl19_592)), 83.95/12.26 inference(resolution,[],[f151195,f494])). 83.95/12.26 tff(f151228,plain,( 83.95/12.26 spl19_596 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_592), 83.95/12.26 inference(avatar_split_clause,[],[f150968,f149332,f1281,f264,f98,f151226])). 83.95/12.26 tff(f151226,plain,( 83.95/12.26 spl19_596 <=> empty_set = difference(complement(complement(sF18)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_596])])). 83.95/12.26 tff(f150968,plain,( 83.95/12.26 empty_set = difference(complement(complement(sF18)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_592)), 83.95/12.26 inference(superposition,[],[f63946,f149333])). 83.95/12.26 tff(f150528,plain,( 83.95/12.26 spl19_592 | spl19_595 | ~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f54369,f1281,f264,f114,f98,f150526,f149332])). 83.95/12.26 tff(f54369,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF18)),empty_set)),sK2) | empty_set = union(complement(complement(sF18)),empty_set) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54184,f272])). 83.95/12.26 tff(f150524,plain,( 83.95/12.26 spl19_594 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_575), 83.95/12.26 inference(avatar_split_clause,[],[f150347,f144711,f1281,f540,f264,f118,f98,f150522])). 83.95/12.26 tff(f150347,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF9)),empty_set)),sK2) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_575)), 83.95/12.26 inference(resolution,[],[f144712,f59335])). 83.95/12.26 tff(f150520,plain,( 83.95/12.26 spl19_593 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_575), 83.95/12.26 inference(avatar_split_clause,[],[f150345,f144711,f1281,f535,f264,f118,f98,f150518])). 83.95/12.26 tff(f150345,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF9)),empty_set)),sF18) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_575)), 83.95/12.26 inference(resolution,[],[f144712,f59341])). 83.95/12.26 tff(f149334,plain,( 83.95/12.26 ~spl19_591 | spl19_592 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.95/12.26 inference(avatar_split_clause,[],[f54367,f52201,f1281,f264,f98,f149332,f149329])). 83.95/12.26 tff(f149329,plain,( 83.95/12.26 spl19_591 <=> member(sK0(union(complement(complement(sF18)),empty_set)),sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_591])])). 83.95/12.26 tff(f54367,plain,( 83.95/12.26 empty_set = union(complement(complement(sF18)),empty_set) | ~member(sK0(union(complement(complement(sF18)),empty_set)),sF13) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.95/12.26 inference(resolution,[],[f54184,f52220])). 83.95/12.26 tff(f148977,plain,( 83.95/12.26 spl19_590 | ~spl19_20 | ~spl19_587), 83.95/12.26 inference(avatar_split_clause,[],[f148897,f147602,f181,f148975])). 83.95/12.26 tff(f148975,plain,( 83.95/12.26 spl19_590 <=> 0 = cardinality(complement(complement(sF13)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_590])])). 83.95/12.26 tff(f148897,plain,( 83.95/12.26 0 = cardinality(complement(complement(sF13))) | (~spl19_20 | ~spl19_587)), 83.95/12.26 inference(forward_demodulation,[],[f148864,f182])). 83.95/12.26 tff(f148864,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(complement(complement(sF13))) | (~spl19_20 | ~spl19_587)), 83.95/12.26 inference(superposition,[],[f6110,f147603])). 83.95/12.26 tff(f148780,plain,( 83.95/12.26 spl19_589 | ~spl19_20 | ~spl19_585), 83.95/12.26 inference(avatar_split_clause,[],[f148776,f147462,f181,f148778])). 83.95/12.26 tff(f148778,plain,( 83.95/12.26 spl19_589 <=> 0 = cardinality(complement(complement(sF12)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_589])])). 83.95/12.26 tff(f147462,plain,( 83.95/12.26 spl19_585 <=> empty_set = union(complement(complement(sF12)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_585])])). 83.95/12.26 tff(f148776,plain,( 83.95/12.26 0 = cardinality(complement(complement(sF12))) | (~spl19_20 | ~spl19_585)), 83.95/12.26 inference(forward_demodulation,[],[f148741,f182])). 83.95/12.26 tff(f148741,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(complement(complement(sF12))) | (~spl19_20 | ~spl19_585)), 83.95/12.26 inference(superposition,[],[f6110,f147463])). 83.95/12.26 tff(f147463,plain,( 83.95/12.26 empty_set = union(complement(complement(sF12)),empty_set) | ~spl19_585), 83.95/12.26 inference(avatar_component_clause,[],[f147462])). 83.95/12.26 tff(f147924,plain,( 83.95/12.26 spl19_588 | ~spl19_20 | ~spl19_576), 83.95/12.26 inference(avatar_split_clause,[],[f147680,f145130,f181,f147922])). 83.95/12.26 tff(f147922,plain,( 83.95/12.26 spl19_588 <=> 0 = cardinality(complement(complement(sF11)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_588])])). 83.95/12.26 tff(f145130,plain,( 83.95/12.26 spl19_576 <=> empty_set = union(complement(complement(sF11)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_576])])). 83.95/12.26 tff(f147680,plain,( 83.95/12.26 0 = cardinality(complement(complement(sF11))) | (~spl19_20 | ~spl19_576)), 83.95/12.26 inference(forward_demodulation,[],[f147648,f182])). 83.95/12.26 tff(f147648,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(complement(complement(sF11))) | (~spl19_20 | ~spl19_576)), 83.95/12.26 inference(superposition,[],[f6110,f145131])). 83.95/12.26 tff(f145131,plain,( 83.95/12.26 empty_set = union(complement(complement(sF11)),empty_set) | ~spl19_576), 83.95/12.26 inference(avatar_component_clause,[],[f145130])). 83.95/12.26 tff(f147643,plain,( 83.95/12.26 ~spl19_41 | ~spl19_318 | ~spl19_565), 83.95/12.26 inference(avatar_contradiction_clause,[],[f147642])). 83.95/12.26 tff(f147642,plain,( 83.95/12.26 $false | (~spl19_41 | ~spl19_318 | ~spl19_565)), 83.95/12.26 inference(resolution,[],[f147519,f489])). 83.95/12.26 tff(f147519,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,sF9)) ) | (~spl19_318 | ~spl19_565)), 83.95/12.26 inference(resolution,[],[f147419,f61875])). 83.95/12.26 tff(f61875,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,complement(sK5)) | ~member(X0,sF9)) ) | ~spl19_318), 83.95/12.26 inference(resolution,[],[f61610,f46])). 83.95/12.26 tff(f61610,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF9,complement(sK5)))) ) | ~spl19_318), 83.95/12.26 inference(subsumption_resolution,[],[f61602,f162])). 83.95/12.26 tff(f61602,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,intersection(sF9,complement(sK5)))) ) | ~spl19_318), 83.95/12.26 inference(superposition,[],[f54,f59162])). 83.95/12.26 tff(f59162,plain,( 83.95/12.26 empty_set = union(intersection(sF9,complement(sK5)),empty_set) | ~spl19_318), 83.95/12.26 inference(avatar_component_clause,[],[f59161])). 83.95/12.26 tff(f59161,plain,( 83.95/12.26 spl19_318 <=> empty_set = union(intersection(sF9,complement(sK5)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_318])])). 83.95/12.26 tff(f147419,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,complement(sK5))) ) | ~spl19_565), 83.95/12.26 inference(resolution,[],[f147012,f57])). 83.95/12.26 tff(f147012,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,complement(complement(sK5)))) ) | ~spl19_565), 83.95/12.26 inference(subsumption_resolution,[],[f146983,f162])). 83.95/12.26 tff(f146983,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,complement(complement(sK5))) | member(X0,empty_set)) ) | ~spl19_565), 83.95/12.26 inference(superposition,[],[f54,f141274])). 83.95/12.26 tff(f141274,plain,( 83.95/12.26 empty_set = union(complement(complement(sK5)),empty_set) | ~spl19_565), 83.95/12.26 inference(avatar_component_clause,[],[f141273])). 83.95/12.26 tff(f141273,plain,( 83.95/12.26 spl19_565 <=> empty_set = union(complement(complement(sK5)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_565])])). 83.95/12.26 tff(f147604,plain,( 83.95/12.26 spl19_586 | spl19_587 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f54364,f1281,f264,f150,f98,f147602,f147599])). 83.95/12.26 tff(f147599,plain,( 83.95/12.26 spl19_586 <=> member(sK0(union(complement(complement(sF13)),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_586])])). 83.95/12.26 tff(f54364,plain,( 83.95/12.26 empty_set = union(complement(complement(sF13)),empty_set) | member(sK0(union(complement(complement(sF13)),empty_set)),sF14) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54184,f239])). 83.95/12.26 tff(f147464,plain,( 83.95/12.26 spl19_584 | spl19_585 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f54361,f1281,f264,f150,f98,f147462,f147459])). 83.95/12.26 tff(f147459,plain,( 83.95/12.26 spl19_584 <=> member(sK0(union(complement(complement(sF12)),empty_set)),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_584])])). 83.95/12.26 tff(f54361,plain,( 83.95/12.26 empty_set = union(complement(complement(sF12)),empty_set) | member(sK0(union(complement(complement(sF12)),empty_set)),sF14) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54184,f244])). 83.95/12.26 tff(f147024,plain,( 83.95/12.26 spl19_583 | spl19_576 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f54360,f1281,f264,f122,f98,f145130,f147022])). 83.95/12.26 tff(f54360,plain,( 83.95/12.26 empty_set = union(complement(complement(sF11)),empty_set) | sK6 = sK0(union(complement(complement(sF11)),empty_set)) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54184,f205])). 83.95/12.26 tff(f147020,plain,( 83.95/12.26 spl19_582 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_565), 83.95/12.26 inference(avatar_split_clause,[],[f147004,f141273,f1281,f264,f98,f147018])). 83.95/12.26 tff(f147018,plain,( 83.95/12.26 spl19_582 <=> empty_set = difference(complement(complement(sK5)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_582])])). 83.95/12.26 tff(f147004,plain,( 83.95/12.26 empty_set = difference(complement(complement(sK5)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_565)), 83.95/12.26 inference(superposition,[],[f63946,f141274])). 83.95/12.26 tff(f146289,plain,( 83.95/12.26 spl19_581 | spl19_576 | ~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f54359,f1281,f264,f146,f98,f145130,f146287])). 83.95/12.26 tff(f54359,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF11)),empty_set)),sF12) | empty_set = union(complement(complement(sF11)),empty_set) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54184,f237])). 83.95/12.26 tff(f145273,plain,( 83.95/12.26 spl19_580 | spl19_576 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f54358,f1281,f264,f158,f98,f145130,f145271])). 83.95/12.26 tff(f145271,plain,( 83.95/12.26 spl19_580 <=> member(sK0(union(complement(complement(sF11)),empty_set)),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_580])])). 83.95/12.26 tff(f54358,plain,( 83.95/12.26 empty_set = union(complement(complement(sF11)),empty_set) | member(sK0(union(complement(complement(sF11)),empty_set)),sF18) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54184,f238])). 83.95/12.26 tff(f145269,plain,( 83.95/12.26 ~spl19_579 | ~spl19_394 | spl19_395), 83.95/12.26 inference(avatar_split_clause,[],[f145206,f74045,f74042,f145267])). 83.95/12.26 tff(f74045,plain,( 83.95/12.26 spl19_395 <=> member(sK0(union(sF11,sF11)),sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_395])])). 83.95/12.26 tff(f145206,plain,( 83.95/12.26 ~member(sK0(empty_set),sF9) | (~spl19_394 | spl19_395)), 83.95/12.26 inference(backward_demodulation,[],[f74046,f74043])). 83.95/12.26 tff(f74043,plain,( 83.95/12.26 empty_set = union(sF11,sF11) | ~spl19_394), 83.95/12.26 inference(avatar_component_clause,[],[f74042])). 83.95/12.26 tff(f74046,plain,( 83.95/12.26 ~member(sK0(union(sF11,sF11)),sF9) | spl19_395), 83.95/12.26 inference(avatar_component_clause,[],[f74045])). 83.95/12.26 tff(f145265,plain,( 83.95/12.26 spl19_578 | ~spl19_3 | ~spl19_9 | ~spl19_24 | ~spl19_26 | ~spl19_61 | ~spl19_394), 83.95/12.26 inference(avatar_split_clause,[],[f145257,f74042,f1281,f264,f212,f122,f98,f145263])). 83.95/12.26 tff(f145263,plain,( 83.95/12.26 spl19_578 <=> empty_set = union(difference(sF11,empty_set),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_578])])). 83.95/12.26 tff(f145257,plain,( 83.95/12.26 empty_set = union(difference(sF11,empty_set),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_24 | ~spl19_26 | ~spl19_61 | ~spl19_394)), 83.95/12.26 inference(subsumption_resolution,[],[f145226,f213])). 83.95/12.26 tff(f145226,plain,( 83.95/12.26 empty_set = union(difference(sF11,empty_set),empty_set) | ~member(sK6,sF11) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_394)), 83.95/12.26 inference(superposition,[],[f60940,f74043])). 83.95/12.26 tff(f60940,plain,( 83.95/12.26 ( ! [X0 : set,X1 : set] : (empty_set = union(difference(sF11,union(X0,X1)),empty_set) | ~member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f60931])). 83.95/12.26 tff(f60931,plain,( 83.95/12.26 ( ! [X0 : set,X1 : set] : (empty_set = union(difference(sF11,union(X0,X1)),empty_set) | ~member(sK6,X0) | empty_set = union(difference(sF11,union(X0,X1)),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54289,f54321])). 83.95/12.26 tff(f54321,plain,( 83.95/12.26 ( ! [X0 : set] : (sK6 = sK0(union(difference(sF11,X0),empty_set)) | empty_set = union(difference(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53902,f205])). 83.95/12.26 tff(f145176,plain,( 83.95/12.26 ~spl19_559 | ~spl19_573), 83.95/12.26 inference(avatar_contradiction_clause,[],[f145175])). 83.95/12.26 tff(f145175,plain,( 83.95/12.26 $false | (~spl19_559 | ~spl19_573)), 83.95/12.26 inference(resolution,[],[f144751,f132931])). 83.95/12.26 tff(f132931,plain,( 83.95/12.26 member(sK1,complement(complement(sF9))) | ~spl19_559), 83.95/12.26 inference(avatar_component_clause,[],[f132930])). 83.95/12.26 tff(f132930,plain,( 83.95/12.26 spl19_559 <=> member(sK1,complement(complement(sF9)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_559])])). 83.95/12.26 tff(f144751,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,complement(complement(sF9)))) ) | ~spl19_573), 83.95/12.26 inference(subsumption_resolution,[],[f144717,f162])). 83.95/12.26 tff(f144717,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,complement(complement(sF9)))) ) | ~spl19_573), 83.95/12.26 inference(superposition,[],[f54,f143567])). 83.95/12.26 tff(f143567,plain,( 83.95/12.26 empty_set = union(complement(complement(sF9)),empty_set) | ~spl19_573), 83.95/12.26 inference(avatar_component_clause,[],[f143566])). 83.95/12.26 tff(f143566,plain,( 83.95/12.26 spl19_573 <=> empty_set = union(complement(complement(sF9)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_573])])). 83.95/12.26 tff(f145135,plain,( 83.95/12.26 spl19_576 | ~spl19_577 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141), 83.95/12.26 inference(avatar_split_clause,[],[f54357,f51939,f1281,f264,f98,f145133,f145130])). 83.95/12.26 tff(f54357,plain,( 83.95/12.26 ~member(sK0(union(complement(complement(sF11)),empty_set)),sF9) | empty_set = union(complement(complement(sF11)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(resolution,[],[f54184,f51950])). 83.95/12.26 tff(f144713,plain,( 83.95/12.26 spl19_575 | spl19_573 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64), 83.95/12.26 inference(avatar_split_clause,[],[f54356,f1429,f1281,f264,f98,f143566,f144711])). 83.95/12.26 tff(f54356,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF9)),empty_set)),sF8) | empty_set = union(complement(complement(sF9)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.26 inference(resolution,[],[f54184,f2677])). 83.95/12.26 tff(f144637,plain,( 83.95/12.26 spl19_574 | spl19_573 | ~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f54353,f1281,f264,f106,f98,f143566,f144635])). 83.95/12.26 tff(f54353,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF9)),empty_set)),sK5) | empty_set = union(complement(complement(sF9)),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54184,f271])). 83.95/12.26 tff(f143568,plain,( 83.95/12.26 spl19_572 | spl19_573 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.26 inference(avatar_split_clause,[],[f54352,f1443,f1281,f264,f98,f143566,f143563])). 83.95/12.26 tff(f54352,plain,( 83.95/12.26 member(sK0(union(complement(complement(sF9)),empty_set)),sF12) | empty_set = union(complement(complement(sF9)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.26 inference(resolution,[],[f54184,f53667])). 83.95/12.26 tff(f143561,plain,( 83.95/12.26 spl19_571 | ~spl19_20 | ~spl19_568), 83.95/12.26 inference(avatar_split_clause,[],[f143555,f143451,f181,f143559])). 83.95/12.26 tff(f143559,plain,( 83.95/12.26 spl19_571 <=> 0 = cardinality(complement(complement(sF8)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_571])])). 83.95/12.26 tff(f143451,plain,( 83.95/12.26 spl19_568 <=> empty_set = union(complement(complement(sF8)),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_568])])). 83.95/12.26 tff(f143555,plain,( 83.95/12.26 0 = cardinality(complement(complement(sF8))) | (~spl19_20 | ~spl19_568)), 83.95/12.26 inference(forward_demodulation,[],[f143522,f182])). 83.95/12.26 tff(f143522,plain,( 83.95/12.26 cardinality(empty_set) = cardinality(complement(complement(sF8))) | (~spl19_20 | ~spl19_568)), 83.95/12.26 inference(superposition,[],[f6110,f143452])). 83.95/12.26 tff(f143452,plain,( 83.95/12.26 empty_set = union(complement(complement(sF8)),empty_set) | ~spl19_568), 83.95/12.26 inference(avatar_component_clause,[],[f143451])). 83.95/12.26 tff(f143460,plain,( 83.95/12.26 spl19_570 | spl19_568 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f54351,f1281,f264,f118,f98,f143451,f143458])). 83.95/12.26 tff(f143458,plain,( 83.95/12.26 spl19_570 <=> sK1 = sK0(union(complement(complement(sF8)),empty_set))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_570])])). 83.95/12.26 tff(f54351,plain,( 83.95/12.26 empty_set = union(complement(complement(sF8)),empty_set) | sK1 = sK0(union(complement(complement(sF8)),empty_set)) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54184,f204])). 83.95/12.26 tff(f143456,plain,( 83.95/12.26 spl19_568 | spl19_569 | ~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f54350,f1281,f264,f138,f98,f143454,f143451])). 83.95/12.26 tff(f143454,plain,( 83.95/12.26 spl19_569 <=> member(sK0(union(complement(complement(sF8)),empty_set)),sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_569])])). 83.95/12.26 tff(f54350,plain,( 83.95/12.26 empty_set = union(complement(complement(sF8)),empty_set) | member(sK0(union(complement(complement(sF8)),empty_set)),sF9) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54184,f235])). 83.95/12.26 tff(f141371,plain,( 83.95/12.26 spl19_567 | ~spl19_7 | ~spl19_564), 83.95/12.26 inference(avatar_split_clause,[],[f141278,f141270,f114,f141369])). 83.95/12.26 tff(f141278,plain,( 83.95/12.26 member(sK0(union(complement(complement(sK5)),empty_set)),sK2) | (~spl19_7 | ~spl19_564)), 83.95/12.26 inference(resolution,[],[f141271,f272])). 83.95/12.26 tff(f141282,plain,( 83.95/12.26 ~spl19_566 | ~spl19_145 | ~spl19_564), 83.95/12.26 inference(avatar_split_clause,[],[f141276,f141270,f52201,f141280])). 83.95/12.26 tff(f141280,plain,( 83.95/12.26 spl19_566 <=> member(sK0(union(complement(complement(sK5)),empty_set)),sF13)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_566])])). 83.95/12.26 tff(f141276,plain,( 83.95/12.26 ~member(sK0(union(complement(complement(sK5)),empty_set)),sF13) | (~spl19_145 | ~spl19_564)), 83.95/12.26 inference(resolution,[],[f141271,f52220])). 83.95/12.26 tff(f141275,plain,( 83.95/12.26 spl19_564 | spl19_565 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f54349,f1281,f264,f158,f98,f141273,f141270])). 83.95/12.26 tff(f54349,plain,( 83.95/12.26 empty_set = union(complement(complement(sK5)),empty_set) | member(sK0(union(complement(complement(sK5)),empty_set)),sF18) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54184,f243])). 83.95/12.26 tff(f141132,plain,( 83.95/12.26 spl19_284 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_141), 83.95/12.26 inference(avatar_split_clause,[],[f141084,f51939,f1281,f488,f264,f118,f98,f56320])). 83.95/12.26 tff(f56320,plain,( 83.95/12.26 spl19_284 <=> empty_set = union(intersection(sF11,sF8),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_284])])). 83.95/12.26 tff(f141084,plain,( 83.95/12.26 empty_set = union(intersection(sF11,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(subsumption_resolution,[],[f141081,f489])). 83.95/12.26 tff(f141081,plain,( 83.95/12.26 ~member(sK1,sF9) | empty_set = union(intersection(sF11,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(duplicate_literal_removal,[],[f141071])). 83.95/12.26 tff(f141071,plain,( 83.95/12.26 ~member(sK1,sF9) | empty_set = union(intersection(sF11,sF8),empty_set) | empty_set = union(intersection(sF11,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(superposition,[],[f54259,f54211])). 83.95/12.26 tff(f140674,plain,( 83.95/12.26 spl19_265 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_141), 83.95/12.26 inference(avatar_split_clause,[],[f140673,f51939,f1281,f488,f264,f118,f98,f55493])). 83.95/12.26 tff(f55493,plain,( 83.95/12.26 spl19_265 <=> empty_set = union(intersection(sF8,sF11),empty_set)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_265])])). 83.95/12.26 tff(f140673,plain,( 83.95/12.26 empty_set = union(intersection(sF8,sF11),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(subsumption_resolution,[],[f140664,f489])). 83.95/12.26 tff(f140664,plain,( 83.95/12.26 ~member(sK1,sF9) | empty_set = union(intersection(sF8,sF11),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(duplicate_literal_removal,[],[f140659])). 83.95/12.26 tff(f140659,plain,( 83.95/12.26 empty_set = union(intersection(sF8,sF11),empty_set) | empty_set = union(intersection(sF8,sF11),empty_set) | ~member(sK1,sF9) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.26 inference(superposition,[],[f54217,f54253])). 83.95/12.26 tff(f54253,plain,( 83.95/12.26 ( ! [X0 : set] : (sK1 = sK0(union(intersection(sF8,X0),empty_set)) | empty_set = union(intersection(sF8,X0),empty_set)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53899,f204])). 83.95/12.26 tff(f139142,plain,( 83.95/12.26 spl19_479 | ~spl19_448 | ~spl19_476), 83.95/12.26 inference(avatar_split_clause,[],[f136563,f90572,f82074,f91116])). 83.95/12.26 tff(f91116,plain,( 83.95/12.26 spl19_479 <=> $sum(cardinality(complement(sK2)),cardinality(sK5)) = cardinality(union(sK5,complement(sK2)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_479])])). 83.95/12.26 tff(f90572,plain,( 83.95/12.26 spl19_476 <=> cardinality(union(complement(sK2),sK5)) = cardinality(union(sK5,complement(sK2)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_476])])). 83.95/12.26 tff(f136563,plain,( 83.95/12.26 $sum(cardinality(complement(sK2)),cardinality(sK5)) = cardinality(union(sK5,complement(sK2))) | (~spl19_448 | ~spl19_476)), 83.95/12.26 inference(forward_demodulation,[],[f111536,f90573])). 83.95/12.26 tff(f90573,plain,( 83.95/12.26 cardinality(union(complement(sK2),sK5)) = cardinality(union(sK5,complement(sK2))) | ~spl19_476), 83.95/12.26 inference(avatar_component_clause,[],[f90572])). 83.95/12.26 tff(f111536,plain,( 83.95/12.26 cardinality(union(complement(sK2),sK5)) = $sum(cardinality(complement(sK2)),cardinality(sK5)) | ~spl19_448), 83.95/12.26 inference(trivial_inequality_removal,[],[f111491])). 83.95/12.26 tff(f111491,plain,( 83.95/12.26 cardinality(union(complement(sK2),sK5)) = $sum(cardinality(complement(sK2)),cardinality(sK5)) | empty_set != empty_set | ~spl19_448), 83.95/12.26 inference(superposition,[],[f73,f82075])). 83.95/12.26 tff(f82075,plain,( 83.95/12.26 empty_set = intersection(complement(sK2),sK5) | ~spl19_448), 83.95/12.26 inference(avatar_component_clause,[],[f82074])). 83.95/12.26 tff(f138812,plain,( 83.95/12.26 ~spl19_57 | spl19_478 | ~spl19_9 | ~spl19_472), 83.95/12.26 inference(avatar_split_clause,[],[f112790,f89430,f122,f90629,f682])). 83.95/12.26 tff(f90629,plain,( 83.95/12.26 spl19_478 <=> cardinality(complement(sK2)) = cardinality(union(sF11,complement(sK2)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_478])])). 83.95/12.26 tff(f112790,plain,( 83.95/12.26 cardinality(complement(sK2)) = cardinality(union(sF11,complement(sK2))) | empty_set != sF11 | (~spl19_9 | ~spl19_472)), 83.95/12.26 inference(superposition,[],[f363,f89431])). 83.95/12.26 tff(f89431,plain,( 83.95/12.26 empty_set = intersection(sF11,complement(sK2)) | ~spl19_472), 83.95/12.26 inference(avatar_component_clause,[],[f89430])). 83.95/12.26 tff(f138811,plain,( 83.95/12.26 spl19_477 | ~spl19_55 | ~spl19_8 | ~spl19_469), 83.95/12.26 inference(avatar_split_clause,[],[f112590,f89182,f118,f607,f90624])). 83.95/12.26 tff(f90624,plain,( 83.95/12.26 spl19_477 <=> cardinality(complement(sK2)) = cardinality(union(sF8,complement(sK2)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_477])])). 83.95/12.26 tff(f112590,plain,( 83.95/12.26 empty_set != sF8 | cardinality(complement(sK2)) = cardinality(union(sF8,complement(sK2))) | (~spl19_8 | ~spl19_469)), 83.95/12.26 inference(superposition,[],[f362,f89183])). 83.95/12.26 tff(f89183,plain,( 83.95/12.26 empty_set = intersection(sF8,complement(sK2)) | ~spl19_469), 83.95/12.26 inference(avatar_component_clause,[],[f89182])). 83.95/12.26 tff(f135781,plain,( 83.95/12.26 spl19_563 | ~spl19_55 | ~spl19_8 | ~spl19_488), 83.95/12.26 inference(avatar_split_clause,[],[f95658,f95602,f118,f607,f135779])). 83.95/12.26 tff(f135779,plain,( 83.95/12.26 spl19_563 <=> cardinality(complement(sF18)) = cardinality(union(sF8,complement(sF18)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_563])])). 83.95/12.26 tff(f95658,plain,( 83.95/12.26 empty_set != sF8 | cardinality(complement(sF18)) = cardinality(union(sF8,complement(sF18))) | (~spl19_8 | ~spl19_488)), 83.95/12.26 inference(superposition,[],[f362,f95603])). 83.95/12.26 tff(f133885,plain,( 83.95/12.26 spl19_562 | ~spl19_55 | ~spl19_8 | ~spl19_486), 83.95/12.26 inference(avatar_split_clause,[],[f95376,f95308,f118,f607,f133883])). 83.95/12.26 tff(f133883,plain,( 83.95/12.26 spl19_562 <=> cardinality(complement(sK5)) = cardinality(union(sF8,complement(sK5)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_562])])). 83.95/12.26 tff(f95376,plain,( 83.95/12.26 cardinality(complement(sK5)) = cardinality(union(sF8,complement(sK5))) | empty_set != sF8 | (~spl19_8 | ~spl19_486)), 83.95/12.26 inference(superposition,[],[f362,f95309])). 83.95/12.26 tff(f133725,plain,( 83.95/12.26 ~spl19_560 | spl19_561 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_559), 83.95/12.26 inference(avatar_split_clause,[],[f133628,f132930,f1281,f264,f118,f98,f133723,f133720])). 83.95/12.26 tff(f133720,plain,( 83.95/12.26 spl19_560 <=> member(sK0(complement(sF9)),sF8)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_560])])). 83.95/12.26 tff(f133723,plain,( 83.95/12.26 spl19_561 <=> empty_set = complement(sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_561])])). 83.95/12.26 tff(f133628,plain,( 83.95/12.26 ~member(sK0(complement(sF9)),sF8) | empty_set = complement(sF9) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_559)), 83.95/12.26 inference(resolution,[],[f132977,f59])). 83.95/12.26 tff(f132977,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,complement(sF9)) | ~member(X0,sF8)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_559)), 83.95/12.26 inference(resolution,[],[f132933,f58])). 83.95/12.26 tff(f132933,plain,( 83.95/12.26 ( ! [X0 : element] : (member(X0,complement(complement(sF9))) | ~member(X0,sF8)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_559)), 83.95/12.26 inference(resolution,[],[f132931,f59282])). 83.95/12.26 tff(f133718,plain,( 83.95/12.26 spl19_398 | spl19_276 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f133704,f1281,f264,f122,f118,f98,f55678,f74156])). 83.95/12.26 tff(f74156,plain,( 83.95/12.26 spl19_398 <=> ! [X0 : element] : ~member(X0,intersection(sF8,sF11))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_398])])). 83.95/12.26 tff(f133704,plain,( 83.95/12.26 ( ! [X0 : element] : (sK1 = sK6 | ~member(X0,intersection(sF8,sF11))) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f129715,f119])). 83.95/12.26 tff(f129715,plain,( 83.95/12.26 ( ! [X0 : element,X1 : element] : (~member(X0,intersection(singleton(X1),sF11)) | sK6 = X1) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f99480,f123])). 83.95/12.26 tff(f99480,plain,( 83.95/12.26 ( ! [X2 : element,X0 : element,X1 : element] : (~member(X2,intersection(singleton(X0),singleton(X1))) | X0 = X1) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(subsumption_resolution,[],[f99449,f162])). 83.95/12.26 tff(f99449,plain,( 83.95/12.26 ( ! [X2 : element,X0 : element,X1 : element] : (~member(X2,intersection(singleton(X0),singleton(X1))) | member(X2,empty_set) | X0 = X1) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54,f59039])). 83.95/12.26 tff(f59039,plain,( 83.95/12.26 ( ! [X0 : element,X1 : element] : (empty_set = union(intersection(singleton(X0),singleton(X1)),empty_set) | X0 = X1) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(duplicate_literal_removal,[],[f59009])). 83.95/12.26 tff(f59009,plain,( 83.95/12.26 ( ! [X0 : element,X1 : element] : (empty_set = union(intersection(singleton(X0),singleton(X1)),empty_set) | empty_set = union(intersection(singleton(X0),singleton(X1)),empty_set) | X0 = X1) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f54244,f54202])). 83.95/12.26 tff(f54202,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (sK0(union(intersection(X0,singleton(X1)),empty_set)) = X1 | empty_set = union(intersection(X0,singleton(X1)),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53898,f52])). 83.95/12.26 tff(f54244,plain,( 83.95/12.26 ( ! [X0 : element,X1 : set] : (sK0(union(intersection(singleton(X0),X1),empty_set)) = X0 | empty_set = union(intersection(singleton(X0),X1),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f53899,f52])). 83.95/12.26 tff(f133711,plain,( 83.95/12.26 spl19_280 | spl19_393 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f133703,f1281,f264,f126,f122,f98,f73862,f56130])). 83.95/12.26 tff(f56130,plain,( 83.95/12.26 spl19_280 <=> sK6 = sK7), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_280])])). 83.95/12.26 tff(f73862,plain,( 83.95/12.26 spl19_393 <=> ! [X0 : element] : ~member(X0,intersection(sF13,sF11))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_393])])). 83.95/12.26 tff(f133703,plain,( 83.95/12.26 ( ! [X0 : element] : (sK6 = sK7 | ~member(X0,intersection(sF13,sF11))) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f129715,f127])). 83.95/12.26 tff(f132932,plain,( 83.95/12.26 spl19_120 | spl19_559 | ~spl19_556), 83.95/12.26 inference(avatar_split_clause,[],[f131640,f129115,f132930,f31137])). 83.95/12.26 tff(f31137,plain,( 83.95/12.26 spl19_120 <=> empty_set = complement(complement(sF9))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_120])])). 83.95/12.26 tff(f129115,plain,( 83.95/12.26 spl19_556 <=> sK1 = sK0(complement(complement(sF9)))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_556])])). 83.95/12.26 tff(f131640,plain,( 83.95/12.26 empty_set = complement(complement(sF9)) | member(sK1,complement(complement(sF9))) | ~spl19_556), 83.95/12.26 inference(superposition,[],[f59,f129116])). 83.95/12.26 tff(f129116,plain,( 83.95/12.26 sK1 = sK0(complement(complement(sF9))) | ~spl19_556), 83.95/12.26 inference(avatar_component_clause,[],[f129115])). 83.95/12.26 tff(f132928,plain,( 83.95/12.26 spl19_404 | spl19_276 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f132915,f1281,f264,f122,f118,f98,f55678,f74725])). 83.95/12.26 tff(f74725,plain,( 83.95/12.26 spl19_404 <=> ! [X0 : element] : ~member(X0,intersection(sF11,sF8))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_404])])). 83.95/12.26 tff(f132915,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF11,sF8)) | sK1 = sK6) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f129714,f123])). 83.95/12.26 tff(f129714,plain,( 83.95/12.26 ( ! [X0 : element,X1 : element] : (~member(X0,intersection(singleton(X1),sF8)) | sK1 = X1) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f99480,f119])). 83.95/12.26 tff(f132923,plain,( 83.95/12.26 spl19_275 | spl19_392 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f132914,f1281,f264,f126,f118,f98,f73858,f55655])). 83.95/12.26 tff(f73858,plain,( 83.95/12.26 spl19_392 <=> ! [X0 : element] : ~member(X0,intersection(sF13,sF8))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_392])])). 83.95/12.26 tff(f132914,plain,( 83.95/12.26 ( ! [X0 : element] : (sK1 = sK7 | ~member(X0,intersection(sF13,sF8))) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f129714,f127])). 83.95/12.26 tff(f132875,plain,( 83.95/12.26 spl19_403 | spl19_280 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f131680,f1281,f264,f126,f122,f98,f56130,f74696])). 83.95/12.26 tff(f74696,plain,( 83.95/12.26 spl19_403 <=> ! [X0 : element] : ~member(X0,intersection(sF11,sF13))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_403])])). 83.95/12.26 tff(f131680,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF11,sF13)) | sK6 = sK7) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f129713,f123])). 83.95/12.26 tff(f129713,plain,( 83.95/12.26 ( ! [X0 : element,X1 : element] : (~member(X0,intersection(singleton(X1),sF13)) | sK7 = X1) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f99480,f127])). 83.95/12.26 tff(f132874,plain,( 83.95/12.26 spl19_396 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f131679,f1281,f264,f126,f118,f98,f55655,f74148])). 83.95/12.26 tff(f74148,plain,( 83.95/12.26 spl19_396 <=> ! [X0 : element] : ~member(X0,intersection(sF8,sF13))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_396])])). 83.95/12.26 tff(f131679,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF8,sF13)) | sK1 = sK7) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f129713,f119])). 83.95/12.26 tff(f132873,plain,( 83.95/12.26 spl19_120 | ~spl19_242 | ~spl19_556), 83.95/12.26 inference(avatar_split_clause,[],[f131639,f129115,f54863,f31137])). 83.95/12.26 tff(f54863,plain,( 83.95/12.26 spl19_242 <=> member(sK1,complement(sF9))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_242])])). 83.95/12.26 tff(f131639,plain,( 83.95/12.26 empty_set = complement(complement(sF9)) | ~member(sK1,complement(sF9)) | ~spl19_556), 83.95/12.26 inference(superposition,[],[f222,f129116])). 83.95/12.26 tff(f131637,plain,( 83.95/12.26 spl19_276 | spl19_404 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f131097,f1281,f264,f122,f118,f98,f74725,f55678])). 83.95/12.26 tff(f131097,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF11,sF8)) | sK1 = sK6) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f129712,f119])). 83.95/12.26 tff(f129712,plain,( 83.95/12.26 ( ! [X0 : element,X1 : element] : (~member(X0,intersection(sF11,singleton(X1))) | sK6 = X1) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f99480,f123])). 83.95/12.26 tff(f131103,plain,( 83.95/12.26 spl19_280 | spl19_403 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f131096,f1281,f264,f126,f122,f98,f74696,f56130])). 83.95/12.26 tff(f131096,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF11,sF13)) | sK6 = sK7) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f129712,f127])). 83.95/12.26 tff(f131057,plain,( 83.95/12.26 spl19_556 | ~spl19_8 | ~spl19_557), 83.95/12.26 inference(avatar_split_clause,[],[f129127,f129119,f118,f129115])). 83.95/12.26 tff(f129119,plain,( 83.95/12.26 spl19_557 <=> member(sK0(complement(complement(sF9))),sF8)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_557])])). 83.95/12.26 tff(f129127,plain,( 83.95/12.26 sK1 = sK0(complement(complement(sF9))) | (~spl19_8 | ~spl19_557)), 83.95/12.26 inference(resolution,[],[f129120,f204])). 83.95/12.26 tff(f129120,plain,( 83.95/12.26 member(sK0(complement(complement(sF9))),sF8) | ~spl19_557), 83.95/12.26 inference(avatar_component_clause,[],[f129119])). 83.95/12.26 tff(f129833,plain,( 83.95/12.26 spl19_276 | spl19_398 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f129805,f1281,f264,f122,f118,f98,f74156,f55678])). 83.95/12.26 tff(f129805,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF8,sF11)) | sK1 = sK6) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f129711,f123])). 83.95/12.26 tff(f129711,plain,( 83.95/12.26 ( ! [X0 : element,X1 : element] : (~member(X0,intersection(sF8,singleton(X1))) | sK1 = X1) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f99480,f119])). 83.95/12.26 tff(f129832,plain,( 83.95/12.26 spl19_553 | ~spl19_66 | ~spl19_555), 83.95/12.26 inference(avatar_split_clause,[],[f129819,f129086,f1443,f128031])). 83.95/12.26 tff(f128031,plain,( 83.95/12.26 spl19_553 <=> member(sK0(complement(complement(sF9))),sF12)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_553])])). 83.95/12.26 tff(f129086,plain,( 83.95/12.26 spl19_555 <=> member(sK0(complement(complement(sF9))),sF9)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_555])])). 83.95/12.26 tff(f129819,plain,( 83.95/12.26 member(sK0(complement(complement(sF9))),sF12) | (~spl19_66 | ~spl19_555)), 83.95/12.26 inference(resolution,[],[f129087,f53667])). 83.95/12.26 tff(f129087,plain,( 83.95/12.26 member(sK0(complement(complement(sF9))),sF9) | ~spl19_555), 83.95/12.26 inference(avatar_component_clause,[],[f129086])). 83.95/12.26 tff(f129830,plain,( 83.95/12.26 spl19_275 | spl19_396 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f129804,f1281,f264,f126,f118,f98,f74148,f55655])). 83.95/12.26 tff(f129804,plain,( 83.95/12.26 ( ! [X0 : element] : (sK1 = sK7 | ~member(X0,intersection(sF8,sF13))) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f129711,f127])). 83.95/12.26 tff(f129822,plain,( 83.95/12.26 spl19_554 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_555), 83.95/12.26 inference(avatar_split_clause,[],[f129820,f129086,f1443,f1281,f264,f150,f98,f128129])). 83.95/12.26 tff(f128129,plain,( 83.95/12.26 spl19_554 <=> member(sK0(complement(complement(sF9))),sF14)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_554])])). 83.95/12.26 tff(f129820,plain,( 83.95/12.26 member(sK0(complement(complement(sF9))),sF14) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66 | ~spl19_555)), 83.95/12.26 inference(resolution,[],[f129087,f65573])). 83.95/12.26 tff(f129765,plain,( 83.95/12.26 spl19_393 | spl19_280 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f129757,f1281,f264,f126,f122,f98,f56130,f73862])). 83.95/12.26 tff(f129757,plain,( 83.95/12.26 ( ! [X0 : element] : (sK6 = sK7 | ~member(X0,intersection(sF13,sF11))) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f129710,f123])). 83.95/12.26 tff(f129710,plain,( 83.95/12.26 ( ! [X0 : element,X1 : element] : (~member(X0,intersection(sF13,singleton(X1))) | sK7 = X1) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f99480,f127])). 83.95/12.26 tff(f129764,plain,( 83.95/12.26 spl19_392 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.26 inference(avatar_split_clause,[],[f129756,f1281,f264,f126,f118,f98,f55655,f73858])). 83.95/12.26 tff(f129756,plain,( 83.95/12.26 ( ! [X0 : element] : (~member(X0,intersection(sF13,sF8)) | sK1 = sK7) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(superposition,[],[f129710,f119])). 83.95/12.26 tff(f129273,plain,( 83.95/12.26 spl19_558 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_557), 83.95/12.26 inference(avatar_split_clause,[],[f129180,f129119,f1281,f264,f118,f98,f129271])). 83.95/12.26 tff(f129271,plain,( 83.95/12.26 spl19_558 <=> member(sK1,singleton(sK0(complement(complement(sF9)))))), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_558])])). 83.95/12.26 tff(f129180,plain,( 83.95/12.26 member(sK1,singleton(sK0(complement(complement(sF9))))) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_557)), 83.95/12.26 inference(resolution,[],[f129125,f198])). 83.95/12.26 tff(f129125,plain,( 83.95/12.26 ( ! [X0 : set] : (~member(sK0(complement(complement(sF9))),X0) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_557)), 83.95/12.26 inference(resolution,[],[f129120,f54414])). 83.95/12.26 tff(f54414,plain,( 83.95/12.26 ( ! [X0 : set,X1 : element] : (~member(X1,sF8) | member(sK1,X0) | ~member(X1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.26 inference(resolution,[],[f54412,f46])). 83.95/12.26 tff(f129176,plain,( 83.95/12.26 spl19_123 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_557), 83.95/12.26 inference(avatar_split_clause,[],[f129124,f129119,f1281,f540,f264,f118,f98,f37094])). 83.95/12.26 tff(f37094,plain,( 83.95/12.26 spl19_123 <=> member(sK0(complement(complement(sF9))),sK2)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_123])])). 83.95/12.26 tff(f129124,plain,( 83.95/12.26 member(sK0(complement(complement(sF9))),sK2) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_557)), 83.95/12.26 inference(resolution,[],[f129120,f59335])). 83.95/12.26 tff(f129175,plain,( 83.95/12.26 spl19_121 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_42 | ~spl19_61 | ~spl19_557), 83.95/12.26 inference(avatar_split_clause,[],[f129123,f129119,f1281,f493,f264,f118,f98,f31140])). 83.95/12.26 tff(f31140,plain,( 83.95/12.26 spl19_121 <=> member(sK0(complement(complement(sF9))),sK5)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_121])])). 83.95/12.26 tff(f129123,plain,( 83.95/12.26 member(sK0(complement(complement(sF9))),sK5) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_42 | ~spl19_61 | ~spl19_557)), 83.95/12.26 inference(resolution,[],[f129120,f59336])). 83.95/12.26 tff(f129174,plain,( 83.95/12.26 spl19_122 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_557), 83.95/12.26 inference(avatar_split_clause,[],[f129122,f129119,f1281,f535,f264,f118,f98,f33493])). 83.95/12.26 tff(f33493,plain,( 83.95/12.26 spl19_122 <=> member(sK0(complement(complement(sF9))),sF18)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_122])])). 83.95/12.26 tff(f129122,plain,( 83.95/12.26 member(sK0(complement(complement(sF9))),sF18) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_557)), 83.95/12.26 inference(resolution,[],[f129120,f59341])). 83.95/12.26 tff(f129173,plain,( 83.95/12.26 spl19_555 | ~spl19_13 | ~spl19_557), 83.95/12.26 inference(avatar_split_clause,[],[f129126,f129119,f138,f129086])). 83.95/12.26 tff(f129126,plain,( 83.95/12.26 member(sK0(complement(complement(sF9))),sF9) | (~spl19_13 | ~spl19_557)), 83.95/12.26 inference(resolution,[],[f129120,f235])). 83.95/12.26 tff(f129121,plain,( 83.95/12.26 spl19_557 | ~spl19_64 | ~spl19_555), 83.95/12.26 inference(avatar_split_clause,[],[f129100,f129086,f1429,f129119])). 83.95/12.26 tff(f129100,plain,( 83.95/12.26 member(sK0(complement(complement(sF9))),sF8) | (~spl19_64 | ~spl19_555)), 83.95/12.26 inference(resolution,[],[f129087,f2677])). 83.95/12.26 tff(f129117,plain,( 83.95/12.26 spl19_556 | ~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314 | ~spl19_555), 83.95/12.26 inference(avatar_split_clause,[],[f129105,f129086,f58993,f51939,f1443,f1429,f1281,f264,f181,f118,f98,f129115])). 83.95/12.26 tff(f129105,plain,( 83.95/12.26 sK1 = sK0(complement(complement(sF9))) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61 | ~spl19_64 | ~spl19_66 | ~spl19_141 | ~spl19_314 | ~spl19_555)), 83.95/12.26 inference(resolution,[],[f129087,f125979])). 83.95/12.26 tff(f129088,plain,( 83.95/12.26 spl19_555 | ~spl19_66 | spl19_513 | ~spl19_553), 83.95/12.26 inference(avatar_split_clause,[],[f128056,f128031,f105581,f1443,f129086])). 83.95/12.26 tff(f105581,plain,( 83.95/12.26 spl19_513 <=> member(sK0(complement(complement(sF9))),sF11)), 83.95/12.26 introduced(avatar_definition,[new_symbols(naming,[spl19_513])])). 83.95/12.26 tff(f128056,plain,( 83.95/12.26 member(sK0(complement(complement(sF9))),sF9) | (~spl19_66 | spl19_513 | ~spl19_553)), 83.95/12.26 inference(subsumption_resolution,[],[f128054,f105582])). 83.95/12.26 tff(f105582,plain,( 83.95/12.26 ~member(sK0(complement(complement(sF9))),sF11) | spl19_513), 83.95/12.26 inference(avatar_component_clause,[],[f105581])). 83.95/12.26 tff(f128054,plain,( 83.95/12.26 member(sK0(complement(complement(sF9))),sF11) | member(sK0(complement(complement(sF9))),sF9) | (~spl19_66 | ~spl19_553)), 83.95/12.27 inference(resolution,[],[f128032,f53666])). 83.95/12.27 tff(f128032,plain,( 83.95/12.27 member(sK0(complement(complement(sF9))),sF12) | ~spl19_553), 83.95/12.27 inference(avatar_component_clause,[],[f128031])). 83.95/12.27 tff(f128131,plain,( 83.95/12.27 spl19_554 | ~spl19_16 | ~spl19_553), 83.95/12.27 inference(avatar_split_clause,[],[f128055,f128031,f150,f128129])). 83.95/12.27 tff(f128055,plain,( 83.95/12.27 member(sK0(complement(complement(sF9))),sF14) | (~spl19_16 | ~spl19_553)), 83.95/12.27 inference(resolution,[],[f128032,f244])). 83.95/12.27 tff(f128033,plain,( 83.95/12.27 spl19_553 | spl19_120 | ~spl19_504), 83.95/12.27 inference(avatar_split_clause,[],[f100627,f99435,f31137,f128031])). 83.95/12.27 tff(f100627,plain,( 83.95/12.27 empty_set = complement(complement(sF9)) | member(sK0(complement(complement(sF9))),sF12) | ~spl19_504), 83.95/12.27 inference(resolution,[],[f100581,f222])). 83.95/12.27 tff(f125104,plain,( 83.95/12.27 spl19_552 | ~spl19_99 | ~spl19_481), 83.95/12.27 inference(avatar_split_clause,[],[f91382,f91242,f6762,f125102])). 83.95/12.27 tff(f125102,plain,( 83.95/12.27 spl19_552 <=> $sum(1,cardinality(complement(sF18))) = cardinality(union(complement(sF18),sF9))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_552])])). 83.95/12.27 tff(f6762,plain,( 83.95/12.27 spl19_99 <=> 1 = cardinality(sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_99])])). 83.95/12.27 tff(f91382,plain,( 83.95/12.27 $sum(1,cardinality(complement(sF18))) = cardinality(union(complement(sF18),sF9)) | (~spl19_99 | ~spl19_481)), 83.95/12.27 inference(forward_demodulation,[],[f91381,f15])). 83.95/12.27 tff(f91381,plain,( 83.95/12.27 $sum(cardinality(complement(sF18)),1) = cardinality(union(complement(sF18),sF9)) | (~spl19_99 | ~spl19_481)), 83.95/12.27 inference(forward_demodulation,[],[f91380,f6763])). 83.95/12.27 tff(f6763,plain,( 83.95/12.27 1 = cardinality(sF9) | ~spl19_99), 83.95/12.27 inference(avatar_component_clause,[],[f6762])). 83.95/12.27 tff(f91380,plain,( 83.95/12.27 cardinality(union(complement(sF18),sF9)) = $sum(cardinality(complement(sF18)),cardinality(sF9)) | ~spl19_481), 83.95/12.27 inference(trivial_inequality_removal,[],[f91343])). 83.95/12.27 tff(f91343,plain,( 83.95/12.27 cardinality(union(complement(sF18),sF9)) = $sum(cardinality(complement(sF18)),cardinality(sF9)) | empty_set != empty_set | ~spl19_481), 83.95/12.27 inference(superposition,[],[f73,f91243])). 83.95/12.27 tff(f91243,plain,( 83.95/12.27 empty_set = intersection(complement(sF18),sF9) | ~spl19_481), 83.95/12.27 inference(avatar_component_clause,[],[f91242])). 83.95/12.27 tff(f123608,plain,( 83.95/12.27 ~spl19_551 | spl19_406 | ~spl19_146), 83.95/12.27 inference(avatar_split_clause,[],[f65654,f52205,f75897,f123606])). 83.95/12.27 tff(f123606,plain,( 83.95/12.27 spl19_551 <=> member(sK0(union(sF13,sF13)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_551])])). 83.95/12.27 tff(f65654,plain,( 83.95/12.27 empty_set = union(sF13,sF13) | ~member(sK0(union(sF13,sF13)),sF9) | ~spl19_146), 83.95/12.27 inference(resolution,[],[f11086,f52235])). 83.95/12.27 tff(f121309,plain,( 83.95/12.27 spl19_394 | spl19_550 | ~spl19_355), 83.95/12.27 inference(avatar_split_clause,[],[f67112,f66825,f121307,f74042])). 83.95/12.27 tff(f67112,plain,( 83.95/12.27 member(sK0(union(sF11,sF11)),sK2) | empty_set = union(sF11,sF11) | ~spl19_355), 83.95/12.27 inference(resolution,[],[f67071,f11086])). 83.95/12.27 tff(f121305,plain,( 83.95/12.27 spl19_549 | ~spl19_55 | ~spl19_5 | ~spl19_8 | ~spl19_13 | ~spl19_20), 83.95/12.27 inference(avatar_split_clause,[],[f94789,f181,f138,f118,f106,f607,f121303])). 83.95/12.27 tff(f121303,plain,( 83.95/12.27 spl19_549 <=> ! [X0 : element] : (1 = cardinality(union(sF8,singleton(X0))) | member(X0,sK5))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_549])])). 83.95/12.27 tff(f94789,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set != sF8 | 1 = cardinality(union(sF8,singleton(X0))) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_8 | ~spl19_13 | ~spl19_20)), 83.95/12.27 inference(forward_demodulation,[],[f94738,f6730])). 83.95/12.27 tff(f94738,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set != sF8 | member(X0,sK5) | cardinality(singleton(X0)) = cardinality(union(sF8,singleton(X0)))) ) | (~spl19_5 | ~spl19_8 | ~spl19_13)), 83.95/12.27 inference(superposition,[],[f362,f94190])). 83.95/12.27 tff(f118841,plain,( 83.95/12.27 spl19_547 | ~spl19_7 | ~spl19_426), 83.95/12.27 inference(avatar_split_clause,[],[f117009,f77070,f114,f116927])). 83.95/12.27 tff(f116927,plain,( 83.95/12.27 spl19_547 <=> member(sK0(union(sF14,empty_set)),sK2)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_547])])). 83.95/12.27 tff(f77070,plain,( 83.95/12.27 spl19_426 <=> member(sK0(union(sF14,empty_set)),sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_426])])). 83.95/12.27 tff(f117009,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sK2) | (~spl19_7 | ~spl19_426)), 83.95/12.27 inference(resolution,[],[f77071,f272])). 83.95/12.27 tff(f77071,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF18) | ~spl19_426), 83.95/12.27 inference(avatar_component_clause,[],[f77070])). 83.95/12.27 tff(f118840,plain,( 83.95/12.27 ~spl19_220 | ~spl19_145 | ~spl19_426), 83.95/12.27 inference(avatar_split_clause,[],[f117007,f77070,f52201,f54479])). 83.95/12.27 tff(f54479,plain,( 83.95/12.27 spl19_220 <=> member(sK0(union(sF14,empty_set)),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_220])])). 83.95/12.27 tff(f117007,plain,( 83.95/12.27 ~member(sK0(union(sF14,empty_set)),sF13) | (~spl19_145 | ~spl19_426)), 83.95/12.27 inference(resolution,[],[f77071,f52220])). 83.95/12.27 tff(f118838,plain,( 83.95/12.27 spl19_548 | ~spl19_8 | ~spl19_546), 83.95/12.27 inference(avatar_split_clause,[],[f116924,f116565,f118,f118836])). 83.95/12.27 tff(f118836,plain,( 83.95/12.27 spl19_548 <=> sK1 = sK0(union(sF14,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_548])])). 83.95/12.27 tff(f116565,plain,( 83.95/12.27 spl19_546 <=> member(sK0(union(sF14,empty_set)),sF8)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_546])])). 83.95/12.27 tff(f116924,plain,( 83.95/12.27 sK1 = sK0(union(sF14,empty_set)) | (~spl19_8 | ~spl19_546)), 83.95/12.27 inference(resolution,[],[f116566,f204])). 83.95/12.27 tff(f116566,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF8) | ~spl19_546), 83.95/12.27 inference(avatar_component_clause,[],[f116565])). 83.95/12.27 tff(f117798,plain,( 83.95/12.27 spl19_547 | ~spl19_351 | ~spl19_545), 83.95/12.27 inference(avatar_split_clause,[],[f116917,f116542,f66621,f116927])). 83.95/12.27 tff(f116542,plain,( 83.95/12.27 spl19_545 <=> member(sK0(union(sF14,empty_set)),sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_545])])). 83.95/12.27 tff(f116917,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sK2) | (~spl19_351 | ~spl19_545)), 83.95/12.27 inference(resolution,[],[f116543,f66648])). 83.95/12.27 tff(f116543,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sK5) | ~spl19_545), 83.95/12.27 inference(avatar_component_clause,[],[f116542])). 83.95/12.27 tff(f116929,plain,( 83.95/12.27 spl19_547 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_546), 83.95/12.27 inference(avatar_split_clause,[],[f116921,f116565,f1281,f540,f264,f118,f98,f116927])). 83.95/12.27 tff(f116921,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sK2) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_49 | ~spl19_61 | ~spl19_546)), 83.95/12.27 inference(resolution,[],[f116566,f59335])). 83.95/12.27 tff(f116925,plain,( 83.95/12.27 spl19_426 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_546), 83.95/12.27 inference(avatar_split_clause,[],[f116919,f116565,f1281,f535,f264,f118,f98,f77070])). 83.95/12.27 tff(f116919,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF18) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_48 | ~spl19_61 | ~spl19_546)), 83.95/12.27 inference(resolution,[],[f116566,f59341])). 83.95/12.27 tff(f116567,plain,( 83.95/12.27 spl19_546 | ~spl19_64 | ~spl19_424), 83.95/12.27 inference(avatar_split_clause,[],[f116260,f76979,f1429,f116565])). 83.95/12.27 tff(f76979,plain,( 83.95/12.27 spl19_424 <=> member(sK0(union(sF14,empty_set)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_424])])). 83.95/12.27 tff(f116260,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF8) | (~spl19_64 | ~spl19_424)), 83.95/12.27 inference(resolution,[],[f76980,f2677])). 83.95/12.27 tff(f76980,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF9) | ~spl19_424), 83.95/12.27 inference(avatar_component_clause,[],[f76979])). 83.95/12.27 tff(f116544,plain,( 83.95/12.27 spl19_545 | ~spl19_5 | ~spl19_424), 83.95/12.27 inference(avatar_split_clause,[],[f116259,f76979,f106,f116542])). 83.95/12.27 tff(f116259,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sK5) | (~spl19_5 | ~spl19_424)), 83.95/12.27 inference(resolution,[],[f76980,f271])). 83.95/12.27 tff(f116445,plain,( 83.95/12.27 spl19_544 | spl19_53 | ~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f116268,f1281,f264,f181,f150,f122,f98,f567,f116443])). 83.95/12.27 tff(f116443,plain,( 83.95/12.27 spl19_544 <=> 0 = cardinality(intersection(sF11,sF12))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_544])])). 83.95/12.27 tff(f116268,plain,( 83.95/12.27 0 = cardinality(intersection(sF11,sF12)) | member(sK6,sF14) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f77241,f123])). 83.95/12.27 tff(f77241,plain,( 83.95/12.27 ( ! [X0 : element] : (0 = cardinality(intersection(singleton(X0),sF12)) | member(X0,sF14)) ) | (~spl19_3 | ~spl19_16 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(forward_demodulation,[],[f77226,f182])). 83.95/12.27 tff(f77226,plain,( 83.95/12.27 ( ! [X0 : element] : (cardinality(empty_set) = cardinality(intersection(singleton(X0),sF12)) | member(X0,sF14)) ) | (~spl19_3 | ~spl19_16 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f6110,f59046])). 83.95/12.27 tff(f59046,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(singleton(X0),sF12),empty_set) | member(X0,sF14)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59023])). 83.95/12.27 tff(f59023,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,sF14) | empty_set = union(intersection(singleton(X0),sF12),empty_set) | empty_set = union(intersection(singleton(X0),sF12),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54221,f54244])). 83.95/12.27 tff(f54221,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF12),empty_set)),sF14) | empty_set = union(intersection(X0,sF12),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53898,f244])). 83.95/12.27 tff(f116265,plain,( 83.95/12.27 spl19_53 | spl19_312 | ~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f77224,f1281,f264,f150,f122,f98,f57792,f567])). 83.95/12.27 tff(f57792,plain,( 83.95/12.27 spl19_312 <=> empty_set = union(intersection(sF11,sF12),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_312])])). 83.95/12.27 tff(f77224,plain,( 83.95/12.27 member(sK6,sF14) | empty_set = union(intersection(sF11,sF12),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f59046,f123])). 83.95/12.27 tff(f115928,plain,( 83.95/12.27 ~spl19_507 | ~spl19_528), 83.95/12.27 inference(avatar_contradiction_clause,[],[f115890])). 83.95/12.27 tff(f115890,plain,( 83.95/12.27 $false | (~spl19_507 | ~spl19_528)), 83.95/12.27 inference(resolution,[],[f115766,f105180])). 83.95/12.27 tff(f115766,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,complement(sF18))) ) | ~spl19_528), 83.95/12.27 inference(subsumption_resolution,[],[f115739,f162])). 83.95/12.27 tff(f115739,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,complement(sF18))) ) | ~spl19_528), 83.95/12.27 inference(superposition,[],[f54,f114540])). 83.95/12.27 tff(f114540,plain,( 83.95/12.27 empty_set = union(complement(sF18),empty_set) | ~spl19_528), 83.95/12.27 inference(avatar_component_clause,[],[f114539])). 83.95/12.27 tff(f114539,plain,( 83.95/12.27 spl19_528 <=> empty_set = union(complement(sF18),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_528])])). 83.95/12.27 tff(f115886,plain,( 83.95/12.27 ~spl19_543 | spl19_527 | ~spl19_528), 83.95/12.27 inference(avatar_split_clause,[],[f115735,f114539,f114536,f115884])). 83.95/12.27 tff(f115884,plain,( 83.95/12.27 spl19_543 <=> member(sK0(empty_set),sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_543])])). 83.95/12.27 tff(f114536,plain,( 83.95/12.27 spl19_527 <=> member(sK0(union(complement(sF18),empty_set)),sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_527])])). 83.95/12.27 tff(f115735,plain,( 83.95/12.27 ~member(sK0(empty_set),sK5) | (spl19_527 | ~spl19_528)), 83.95/12.27 inference(backward_demodulation,[],[f114537,f114540])). 83.95/12.27 tff(f114537,plain,( 83.95/12.27 ~member(sK0(union(complement(sF18),empty_set)),sK5) | spl19_527), 83.95/12.27 inference(avatar_component_clause,[],[f114536])). 83.95/12.27 tff(f115774,plain,( 83.95/12.27 spl19_542 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_528), 83.95/12.27 inference(avatar_split_clause,[],[f115758,f114539,f1281,f264,f98,f115772])). 83.95/12.27 tff(f115772,plain,( 83.95/12.27 spl19_542 <=> empty_set = difference(complement(sF18),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_542])])). 83.95/12.27 tff(f115758,plain,( 83.95/12.27 empty_set = difference(complement(sF18),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_528)), 83.95/12.27 inference(superposition,[],[f63946,f114540])). 83.95/12.27 tff(f115382,plain,( 83.95/12.27 spl19_276 | spl19_299 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f115176,f1281,f264,f181,f122,f118,f98,f57111,f55678])). 83.95/12.27 tff(f57111,plain,( 83.95/12.27 spl19_299 <=> 0 = cardinality(intersection(sF11,sF8))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_299])])). 83.95/12.27 tff(f115176,plain,( 83.95/12.27 0 = cardinality(intersection(sF11,sF8)) | sK1 = sK6 | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76307,f123])). 83.95/12.27 tff(f76307,plain,( 83.95/12.27 ( ! [X0 : element] : (0 = cardinality(intersection(singleton(X0),sF8)) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(forward_demodulation,[],[f76291,f182])). 83.95/12.27 tff(f76291,plain,( 83.95/12.27 ( ! [X0 : element] : (sK1 = X0 | cardinality(empty_set) = cardinality(intersection(singleton(X0),sF8))) ) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f6110,f59034])). 83.95/12.27 tff(f59034,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(singleton(X0),sF8),empty_set) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59018])). 83.95/12.27 tff(f59018,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(singleton(X0),sF8),empty_set) | sK1 = X0 | empty_set = union(intersection(singleton(X0),sF8),empty_set)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54211,f54244])). 83.95/12.27 tff(f115381,plain,( 83.95/12.27 spl19_533 | ~spl19_541 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f57882,f1281,f264,f150,f98,f115379,f114870])). 83.95/12.27 tff(f114870,plain,( 83.95/12.27 spl19_533 <=> empty_set = union(complement(sF14),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_533])])). 83.95/12.27 tff(f115379,plain,( 83.95/12.27 spl19_541 <=> member(sK0(union(complement(sF14),empty_set)),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_541])])). 83.95/12.27 tff(f57882,plain,( 83.95/12.27 empty_set = union(complement(sF14),empty_set) | ~member(sK0(union(complement(sF14),empty_set)),sF13) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54182,f151])). 83.95/12.27 tff(f115209,plain,( 83.95/12.27 ~spl19_540 | spl19_530 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.27 inference(avatar_split_clause,[],[f57881,f1443,f1281,f264,f98,f114567,f115207])). 83.95/12.27 tff(f115207,plain,( 83.95/12.27 spl19_540 <=> member(sK0(union(complement(sF12),empty_set)),sF11)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_540])])). 83.95/12.27 tff(f114567,plain,( 83.95/12.27 spl19_530 <=> empty_set = union(complement(sF12),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_530])])). 83.95/12.27 tff(f57881,plain,( 83.95/12.27 ~member(sK0(union(complement(sF12),empty_set)),sF11) | empty_set = union(complement(sF12),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(superposition,[],[f54182,f1444])). 83.95/12.27 tff(f115205,plain,( 83.95/12.27 ~spl19_539 | spl19_528 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f57880,f1281,f264,f158,f98,f114539,f115203])). 83.95/12.27 tff(f115203,plain,( 83.95/12.27 spl19_539 <=> member(sK0(union(complement(sF18),empty_set)),sF11)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_539])])). 83.95/12.27 tff(f57880,plain,( 83.95/12.27 empty_set = union(complement(sF18),empty_set) | ~member(sK0(union(complement(sF18),empty_set)),sF11) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54182,f159])). 83.95/12.27 tff(f115201,plain,( 83.95/12.27 ~spl19_537 | spl19_538 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64), 83.95/12.27 inference(avatar_split_clause,[],[f57865,f1429,f1281,f264,f98,f115199,f115196])). 83.95/12.27 tff(f115196,plain,( 83.95/12.27 spl19_537 <=> member(sK0(union(complement(sF9),empty_set)),sF8)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_537])])). 83.95/12.27 tff(f115199,plain,( 83.95/12.27 spl19_538 <=> empty_set = union(complement(sF9),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_538])])). 83.95/12.27 tff(f57865,plain,( 83.95/12.27 ~member(sK0(union(complement(sF9),empty_set)),sF8) | empty_set = union(complement(sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.27 inference(superposition,[],[f54182,f1430])). 83.95/12.27 tff(f115194,plain,( 83.95/12.27 spl19_309 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f115175,f1281,f264,f181,f126,f118,f98,f55655,f57692])). 83.95/12.27 tff(f57692,plain,( 83.95/12.27 spl19_309 <=> 0 = cardinality(intersection(sF13,sF8))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_309])])). 83.95/12.27 tff(f115175,plain,( 83.95/12.27 sK1 = sK7 | 0 = cardinality(intersection(sF13,sF8)) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76307,f127])). 83.95/12.27 tff(f115174,plain,( 83.95/12.27 spl19_276 | spl19_284 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f76288,f1281,f264,f122,f118,f98,f56320,f55678])). 83.95/12.27 tff(f76288,plain,( 83.95/12.27 sK1 = sK6 | empty_set = union(intersection(sF11,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f59034,f123])). 83.95/12.27 tff(f115173,plain,( 83.95/12.27 spl19_275 | spl19_295 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f76287,f1281,f264,f126,f118,f98,f57065,f55655])). 83.95/12.27 tff(f76287,plain,( 83.95/12.27 empty_set = union(intersection(sF13,sF8),empty_set) | sK1 = sK7 | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f59034,f127])). 83.95/12.27 tff(f115162,plain,( 83.95/12.27 spl19_276 | spl19_281 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f115021,f1281,f264,f181,f122,f118,f98,f56134,f55678])). 83.95/12.27 tff(f56134,plain,( 83.95/12.27 spl19_281 <=> 0 = cardinality(intersection(sF8,sF11))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_281])])). 83.95/12.27 tff(f115021,plain,( 83.95/12.27 sK1 = sK6 | 0 = cardinality(intersection(sF8,sF11)) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76230,f119])). 83.95/12.27 tff(f76230,plain,( 83.95/12.27 ( ! [X0 : element] : (0 = cardinality(intersection(singleton(X0),sF11)) | sK6 = X0) ) | (~spl19_3 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(forward_demodulation,[],[f76214,f182])). 83.95/12.27 tff(f76214,plain,( 83.95/12.27 ( ! [X0 : element] : (sK6 = X0 | cardinality(empty_set) = cardinality(intersection(singleton(X0),sF11))) ) | (~spl19_3 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f6110,f59033])). 83.95/12.27 tff(f59033,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(singleton(X0),sF11),empty_set) | sK6 = X0) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59022])). 83.95/12.27 tff(f59022,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(singleton(X0),sF11),empty_set) | empty_set = union(intersection(singleton(X0),sF11),empty_set) | sK6 = X0) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54220,f54244])). 83.95/12.27 tff(f115161,plain,( 83.95/12.27 spl19_310 | spl19_280 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f115020,f1281,f264,f181,f126,f122,f98,f56130,f57764])). 83.95/12.27 tff(f57764,plain,( 83.95/12.27 spl19_310 <=> 0 = cardinality(intersection(sF13,sF11))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_310])])). 83.95/12.27 tff(f115020,plain,( 83.95/12.27 sK6 = sK7 | 0 = cardinality(intersection(sF13,sF11)) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76230,f127])). 83.95/12.27 tff(f115160,plain,( 83.95/12.27 spl19_536 | ~spl19_20 | ~spl19_520), 83.95/12.27 inference(avatar_split_clause,[],[f115156,f111723,f181,f115158])). 83.95/12.27 tff(f115158,plain,( 83.95/12.27 spl19_536 <=> 0 = cardinality(difference(intersection(complement(sF14),sF12),empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_536])])). 83.95/12.27 tff(f111723,plain,( 83.95/12.27 spl19_520 <=> empty_set = union(difference(intersection(complement(sF14),sF12),empty_set),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_520])])). 83.95/12.27 tff(f115156,plain,( 83.95/12.27 0 = cardinality(difference(intersection(complement(sF14),sF12),empty_set)) | (~spl19_20 | ~spl19_520)), 83.95/12.27 inference(forward_demodulation,[],[f115123,f182])). 83.95/12.27 tff(f115123,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(intersection(complement(sF14),sF12),empty_set)) | (~spl19_20 | ~spl19_520)), 83.95/12.27 inference(superposition,[],[f6110,f111724])). 83.95/12.27 tff(f111724,plain,( 83.95/12.27 empty_set = union(difference(intersection(complement(sF14),sF12),empty_set),empty_set) | ~spl19_520), 83.95/12.27 inference(avatar_component_clause,[],[f111723])). 83.95/12.27 tff(f115111,plain,( 83.95/12.27 spl19_535 | ~spl19_20 | ~spl19_519), 83.95/12.27 inference(avatar_split_clause,[],[f115075,f111481,f181,f115109])). 83.95/12.27 tff(f115109,plain,( 83.95/12.27 spl19_535 <=> 0 = cardinality(difference(intersection(sF12,complement(sF14)),empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_535])])). 83.95/12.27 tff(f111481,plain,( 83.95/12.27 spl19_519 <=> empty_set = union(difference(intersection(sF12,complement(sF14)),empty_set),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_519])])). 83.95/12.27 tff(f115075,plain,( 83.95/12.27 0 = cardinality(difference(intersection(sF12,complement(sF14)),empty_set)) | (~spl19_20 | ~spl19_519)), 83.95/12.27 inference(forward_demodulation,[],[f115045,f182])). 83.95/12.27 tff(f115045,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(intersection(sF12,complement(sF14)),empty_set)) | (~spl19_20 | ~spl19_519)), 83.95/12.27 inference(superposition,[],[f6110,f111482])). 83.95/12.27 tff(f111482,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF12,complement(sF14)),empty_set),empty_set) | ~spl19_519), 83.95/12.27 inference(avatar_component_clause,[],[f111481])). 83.95/12.27 tff(f115041,plain,( 83.95/12.27 spl19_222 | spl19_534 | ~spl19_247), 83.95/12.27 inference(avatar_split_clause,[],[f108505,f54923,f115039,f54485])). 83.95/12.27 tff(f54485,plain,( 83.95/12.27 spl19_222 <=> empty_set = union(sF14,empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_222])])). 83.95/12.27 tff(f115039,plain,( 83.95/12.27 spl19_534 <=> member(sK7,union(sF14,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_534])])). 83.95/12.27 tff(f54923,plain,( 83.95/12.27 spl19_247 <=> sK7 = sK0(union(sF14,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_247])])). 83.95/12.27 tff(f108505,plain,( 83.95/12.27 member(sK7,union(sF14,empty_set)) | empty_set = union(sF14,empty_set) | ~spl19_247), 83.95/12.27 inference(superposition,[],[f59,f54924])). 83.95/12.27 tff(f54924,plain,( 83.95/12.27 sK7 = sK0(union(sF14,empty_set)) | ~spl19_247), 83.95/12.27 inference(avatar_component_clause,[],[f54923])). 83.95/12.27 tff(f115019,plain,( 83.95/12.27 spl19_276 | spl19_265 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f76211,f1281,f264,f122,f118,f98,f55493,f55678])). 83.95/12.27 tff(f76211,plain,( 83.95/12.27 empty_set = union(intersection(sF8,sF11),empty_set) | sK1 = sK6 | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f59033,f119])). 83.95/12.27 tff(f115018,plain,( 83.95/12.27 spl19_280 | spl19_296 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f76210,f1281,f264,f126,f122,f98,f57071,f56130])). 83.95/12.27 tff(f76210,plain,( 83.95/12.27 sK6 = sK7 | empty_set = union(intersection(sF13,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f59033,f127])). 83.95/12.27 tff(f114872,plain,( 83.95/12.27 ~spl19_532 | spl19_533 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f57839,f1281,f264,f150,f98,f114870,f114867])). 83.95/12.27 tff(f114867,plain,( 83.95/12.27 spl19_532 <=> member(sK0(union(complement(sF14),empty_set)),sF12)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_532])])). 83.95/12.27 tff(f57839,plain,( 83.95/12.27 empty_set = union(complement(sF14),empty_set) | ~member(sK0(union(complement(sF14),empty_set)),sF12) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54181,f151])). 83.95/12.27 tff(f114629,plain,( 83.95/12.27 spl19_531 | spl19_53 | ~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f114612,f1281,f264,f181,f150,f122,f98,f567,f114627])). 83.95/12.27 tff(f114627,plain,( 83.95/12.27 spl19_531 <=> 0 = cardinality(intersection(sF12,sF11))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_531])])). 83.95/12.27 tff(f114612,plain,( 83.95/12.27 0 = cardinality(intersection(sF12,sF11)) | member(sK6,sF14) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f74692,f123])). 83.95/12.27 tff(f74692,plain,( 83.95/12.27 ( ! [X0 : element] : (0 = cardinality(intersection(sF12,singleton(X0))) | member(X0,sF14)) ) | (~spl19_3 | ~spl19_16 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(forward_demodulation,[],[f74676,f182])). 83.95/12.27 tff(f74676,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,sF14) | cardinality(empty_set) = cardinality(intersection(sF12,singleton(X0)))) ) | (~spl19_3 | ~spl19_16 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f6110,f57925])). 83.95/12.27 tff(f57925,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(sF12,singleton(X0)),empty_set) | member(X0,sF14)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f57910])). 83.95/12.27 tff(f57910,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(sF12,singleton(X0)),empty_set) | member(X0,sF14) | empty_set = union(intersection(sF12,singleton(X0)),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54263,f54202])). 83.95/12.27 tff(f54263,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(union(intersection(sF12,X0),empty_set)),sF14) | empty_set = union(intersection(sF12,X0),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53899,f244])). 83.95/12.27 tff(f114609,plain,( 83.95/12.27 spl19_53 | spl19_300 | ~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f74674,f1281,f264,f150,f122,f98,f57115,f567])). 83.95/12.27 tff(f57115,plain,( 83.95/12.27 spl19_300 <=> empty_set = union(intersection(sF12,sF11),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_300])])). 83.95/12.27 tff(f74674,plain,( 83.95/12.27 empty_set = union(intersection(sF12,sF11),empty_set) | member(sK6,sF14) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f57925,f123])). 83.95/12.27 tff(f114608,plain,( 83.95/12.27 spl19_276 | spl19_299 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f114592,f1281,f264,f181,f122,f118,f98,f57111,f55678])). 83.95/12.27 tff(f114592,plain,( 83.95/12.27 0 = cardinality(intersection(sF11,sF8)) | sK1 = sK6 | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f74263,f119])). 83.95/12.27 tff(f74263,plain,( 83.95/12.27 ( ! [X0 : element] : (0 = cardinality(intersection(sF11,singleton(X0))) | sK6 = X0) ) | (~spl19_3 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(forward_demodulation,[],[f74248,f182])). 83.95/12.27 tff(f74248,plain,( 83.95/12.27 ( ! [X0 : element] : (cardinality(empty_set) = cardinality(intersection(sF11,singleton(X0))) | sK6 = X0) ) | (~spl19_3 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f6110,f57924])). 83.95/12.27 tff(f57924,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(sF11,singleton(X0)),empty_set) | sK6 = X0) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f57909])). 83.95/12.27 tff(f57909,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(sF11,singleton(X0)),empty_set) | sK6 = X0 | empty_set = union(intersection(sF11,singleton(X0)),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54262,f54202])). 83.95/12.27 tff(f114590,plain,( 83.95/12.27 spl19_284 | spl19_276 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f74245,f1281,f264,f122,f118,f98,f55678,f56320])). 83.95/12.27 tff(f74245,plain,( 83.95/12.27 sK1 = sK6 | empty_set = union(intersection(sF11,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f57924,f119])). 83.95/12.27 tff(f114569,plain,( 83.95/12.27 ~spl19_529 | spl19_530 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.27 inference(avatar_split_clause,[],[f57838,f1443,f1281,f264,f98,f114567,f114564])). 83.95/12.27 tff(f114564,plain,( 83.95/12.27 spl19_529 <=> member(sK0(union(complement(sF12),empty_set)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_529])])). 83.95/12.27 tff(f57838,plain,( 83.95/12.27 ~member(sK0(union(complement(sF12),empty_set)),sF9) | empty_set = union(complement(sF12),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(superposition,[],[f54181,f1444])). 83.95/12.27 tff(f114562,plain,( 83.95/12.27 spl19_276 | spl19_281 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f114543,f1281,f264,f181,f122,f118,f98,f56134,f55678])). 83.95/12.27 tff(f114543,plain,( 83.95/12.27 0 = cardinality(intersection(sF8,sF11)) | sK1 = sK6 | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f74068,f123])). 83.95/12.27 tff(f74068,plain,( 83.95/12.27 ( ! [X0 : element] : (0 = cardinality(intersection(sF8,singleton(X0))) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(forward_demodulation,[],[f74053,f182])). 83.95/12.27 tff(f74053,plain,( 83.95/12.27 ( ! [X0 : element] : (cardinality(empty_set) = cardinality(intersection(sF8,singleton(X0))) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f6110,f57921])). 83.95/12.27 tff(f57921,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(sF8,singleton(X0)),empty_set) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f57899])). 83.95/12.27 tff(f57899,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(sF8,singleton(X0)),empty_set) | empty_set = union(intersection(sF8,singleton(X0)),empty_set) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54202,f54253])). 83.95/12.27 tff(f114541,plain,( 83.95/12.27 ~spl19_527 | spl19_528 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f57837,f1281,f264,f158,f98,f114539,f114536])). 83.95/12.27 tff(f57837,plain,( 83.95/12.27 empty_set = union(complement(sF18),empty_set) | ~member(sK0(union(complement(sF18),empty_set)),sK5) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54181,f159])). 83.95/12.27 tff(f114534,plain,( 83.95/12.27 spl19_276 | spl19_265 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f74050,f1281,f264,f122,f118,f98,f55493,f55678])). 83.95/12.27 tff(f74050,plain,( 83.95/12.27 empty_set = union(intersection(sF8,sF11),empty_set) | sK1 = sK6 | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f57921,f123])). 83.95/12.27 tff(f113928,plain,( 83.95/12.27 spl19_310 | spl19_280 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f113910,f1281,f264,f181,f126,f122,f98,f56130,f57764])). 83.95/12.27 tff(f113910,plain,( 83.95/12.27 0 = cardinality(intersection(sF13,sF11)) | sK6 = sK7 | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f73790,f123])). 83.95/12.27 tff(f73790,plain,( 83.95/12.27 ( ! [X0 : element] : (0 = cardinality(intersection(sF13,singleton(X0))) | sK7 = X0) ) | (~spl19_3 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(forward_demodulation,[],[f73775,f182])). 83.95/12.27 tff(f73775,plain,( 83.95/12.27 ( ! [X0 : element] : (cardinality(empty_set) = cardinality(intersection(sF13,singleton(X0))) | sK7 = X0) ) | (~spl19_3 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f6110,f57916])). 83.95/12.27 tff(f57916,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(sF13,singleton(X0)),empty_set) | sK7 = X0) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f57911])). 83.95/12.27 tff(f57911,plain,( 83.95/12.27 ( ! [X0 : element] : (sK7 = X0 | empty_set = union(intersection(sF13,singleton(X0)),empty_set) | empty_set = union(intersection(sF13,singleton(X0)),empty_set)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54267,f54202])). 83.95/12.27 tff(f113927,plain,( 83.95/12.27 spl19_275 | spl19_309 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f113909,f1281,f264,f181,f126,f118,f98,f57692,f55655])). 83.95/12.27 tff(f113909,plain,( 83.95/12.27 sK1 = sK7 | 0 = cardinality(intersection(sF13,sF8)) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f73790,f119])). 83.95/12.27 tff(f113767,plain,( 83.95/12.27 spl19_280 | spl19_296 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f73772,f1281,f264,f126,f122,f98,f57071,f56130])). 83.95/12.27 tff(f73772,plain,( 83.95/12.27 sK6 = sK7 | empty_set = union(intersection(sF13,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f57916,f123])). 83.95/12.27 tff(f113766,plain,( 83.95/12.27 spl19_295 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f73771,f1281,f264,f126,f118,f98,f55655,f57065])). 83.95/12.27 tff(f73771,plain,( 83.95/12.27 sK1 = sK7 | empty_set = union(intersection(sF13,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f57916,f119])). 83.95/12.27 tff(f113752,plain,( 83.95/12.27 spl19_526 | ~spl19_20 | ~spl19_525), 83.95/12.27 inference(avatar_split_clause,[],[f113748,f113713,f181,f113750])). 83.95/12.27 tff(f113750,plain,( 83.95/12.27 spl19_526 <=> 0 = cardinality(difference(sF8,sF12))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_526])])). 83.95/12.27 tff(f113713,plain,( 83.95/12.27 spl19_525 <=> empty_set = union(difference(sF8,sF12),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_525])])). 83.95/12.27 tff(f113748,plain,( 83.95/12.27 0 = cardinality(difference(sF8,sF12)) | (~spl19_20 | ~spl19_525)), 83.95/12.27 inference(forward_demodulation,[],[f113718,f182])). 83.95/12.27 tff(f113718,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(sF8,sF12)) | (~spl19_20 | ~spl19_525)), 83.95/12.27 inference(superposition,[],[f6110,f113714])). 83.95/12.27 tff(f113714,plain,( 83.95/12.27 empty_set = union(difference(sF8,sF12),empty_set) | ~spl19_525), 83.95/12.27 inference(avatar_component_clause,[],[f113713])). 83.95/12.27 tff(f113715,plain,( 83.95/12.27 spl19_525 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_66), 83.95/12.27 inference(avatar_split_clause,[],[f113654,f1443,f1281,f488,f264,f118,f98,f113713])). 83.95/12.27 tff(f113654,plain,( 83.95/12.27 empty_set = union(difference(sF8,sF12),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_41 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(subsumption_resolution,[],[f113620,f489])). 83.95/12.27 tff(f113620,plain,( 83.95/12.27 empty_set = union(difference(sF8,sF12),empty_set) | ~member(sK1,sF9) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(superposition,[],[f60944,f1444])). 83.95/12.27 tff(f60944,plain,( 83.95/12.27 ( ! [X0 : set,X1 : set] : (empty_set = union(difference(sF8,union(X0,X1)),empty_set) | ~member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f60930])). 83.95/12.27 tff(f60930,plain,( 83.95/12.27 ( ! [X0 : set,X1 : set] : (~member(sK1,X0) | empty_set = union(difference(sF8,union(X0,X1)),empty_set) | empty_set = union(difference(sF8,union(X0,X1)),empty_set)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54289,f54312])). 83.95/12.27 tff(f113700,plain,( 83.95/12.27 spl19_524 | ~spl19_20 | ~spl19_523), 83.95/12.27 inference(avatar_split_clause,[],[f113695,f113661,f181,f113698])). 83.95/12.27 tff(f113698,plain,( 83.95/12.27 spl19_524 <=> 0 = cardinality(difference(sF8,sF14))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_524])])). 83.95/12.27 tff(f113661,plain,( 83.95/12.27 spl19_523 <=> empty_set = union(difference(sF8,sF14),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_523])])). 83.95/12.27 tff(f113695,plain,( 83.95/12.27 0 = cardinality(difference(sF8,sF14)) | (~spl19_20 | ~spl19_523)), 83.95/12.27 inference(forward_demodulation,[],[f113666,f182])). 83.95/12.27 tff(f113666,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(sF8,sF14)) | (~spl19_20 | ~spl19_523)), 83.95/12.27 inference(superposition,[],[f6110,f113662])). 83.95/12.27 tff(f113662,plain,( 83.95/12.27 empty_set = union(difference(sF8,sF14),empty_set) | ~spl19_523), 83.95/12.27 inference(avatar_component_clause,[],[f113661])). 83.95/12.27 tff(f113663,plain,( 83.95/12.27 spl19_523 | ~spl19_3 | ~spl19_8 | ~spl19_16 | ~spl19_26 | ~spl19_52 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f113652,f1281,f563,f264,f150,f118,f98,f113661])). 83.95/12.27 tff(f113652,plain,( 83.95/12.27 empty_set = union(difference(sF8,sF14),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_16 | ~spl19_26 | ~spl19_52 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f113621,f564])). 83.95/12.27 tff(f113621,plain,( 83.95/12.27 empty_set = union(difference(sF8,sF14),empty_set) | ~member(sK1,sF12) | (~spl19_3 | ~spl19_8 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f60944,f151])). 83.95/12.27 tff(f113345,plain,( 83.95/12.27 spl19_522 | ~spl19_20 | ~spl19_521), 83.95/12.27 inference(avatar_split_clause,[],[f112933,f112492,f181,f113343])). 83.95/12.27 tff(f113343,plain,( 83.95/12.27 spl19_522 <=> 0 = cardinality(difference(sF11,sF14))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_522])])). 83.95/12.27 tff(f112492,plain,( 83.95/12.27 spl19_521 <=> empty_set = union(difference(sF11,sF14),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_521])])). 83.95/12.27 tff(f112933,plain,( 83.95/12.27 0 = cardinality(difference(sF11,sF14)) | (~spl19_20 | ~spl19_521)), 83.95/12.27 inference(forward_demodulation,[],[f112907,f182])). 83.95/12.27 tff(f112907,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(sF11,sF14)) | (~spl19_20 | ~spl19_521)), 83.95/12.27 inference(superposition,[],[f6110,f112493])). 83.95/12.27 tff(f112493,plain,( 83.95/12.27 empty_set = union(difference(sF11,sF14),empty_set) | ~spl19_521), 83.95/12.27 inference(avatar_component_clause,[],[f112492])). 83.95/12.27 tff(f113341,plain,( 83.95/12.27 spl19_232 | spl19_453 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_451), 83.95/12.27 inference(avatar_split_clause,[],[f112258,f82978,f1281,f264,f122,f98,f84033,f54660])). 83.95/12.27 tff(f84033,plain,( 83.95/12.27 spl19_453 <=> member(sK6,complement(sK2))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_453])])). 83.95/12.27 tff(f112258,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(empty_set)) | member(sK6,complement(sK2))) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_451)), 83.95/12.27 inference(superposition,[],[f55232,f82979])). 83.95/12.27 tff(f82979,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF11) | ~spl19_451), 83.95/12.27 inference(avatar_component_clause,[],[f82978])). 83.95/12.27 tff(f112904,plain,( 83.95/12.27 spl19_452 | spl19_232 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_449), 83.95/12.27 inference(avatar_split_clause,[],[f111733,f82078,f1281,f264,f118,f98,f54660,f83422])). 83.95/12.27 tff(f83422,plain,( 83.95/12.27 spl19_452 <=> member(sK1,complement(sK2))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_452])])). 83.95/12.27 tff(f111733,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK1,complement(sK2)) | member(X0,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_449)), 83.95/12.27 inference(superposition,[],[f54643,f82079])). 83.95/12.27 tff(f82079,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF8) | ~spl19_449), 83.95/12.27 inference(avatar_component_clause,[],[f82078])). 83.95/12.27 tff(f112494,plain,( 83.95/12.27 spl19_521 | ~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_44 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f112150,f1281,f505,f264,f150,f122,f98,f112492])). 83.95/12.27 tff(f505,plain,( 83.95/12.27 spl19_44 <=> member(sK6,sF12)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_44])])). 83.95/12.27 tff(f112150,plain,( 83.95/12.27 empty_set = union(difference(sF11,sF14),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_44 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f112121,f506])). 83.95/12.27 tff(f506,plain,( 83.95/12.27 member(sK6,sF12) | ~spl19_44), 83.95/12.27 inference(avatar_component_clause,[],[f505])). 83.95/12.27 tff(f112121,plain,( 83.95/12.27 empty_set = union(difference(sF11,sF14),empty_set) | ~member(sK6,sF12) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f60940,f151])). 83.95/12.27 tff(f111725,plain,( 83.95/12.27 spl19_520 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_321), 83.95/12.27 inference(avatar_split_clause,[],[f63913,f59215,f1281,f264,f98,f111723])). 83.95/12.27 tff(f59215,plain,( 83.95/12.27 spl19_321 <=> empty_set = union(intersection(complement(sF14),sF12),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_321])])). 83.95/12.27 tff(f63913,plain,( 83.95/12.27 empty_set = union(difference(intersection(complement(sF14),sF12),empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_321)), 83.95/12.27 inference(superposition,[],[f60935,f59216])). 83.95/12.27 tff(f59216,plain,( 83.95/12.27 empty_set = union(intersection(complement(sF14),sF12),empty_set) | ~spl19_321), 83.95/12.27 inference(avatar_component_clause,[],[f59215])). 83.95/12.27 tff(f111483,plain,( 83.95/12.27 spl19_519 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_317), 83.95/12.27 inference(avatar_split_clause,[],[f63906,f59057,f1281,f264,f98,f111481])). 83.95/12.27 tff(f59057,plain,( 83.95/12.27 spl19_317 <=> empty_set = union(intersection(sF12,complement(sF14)),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_317])])). 83.95/12.27 tff(f63906,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF12,complement(sF14)),empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_317)), 83.95/12.27 inference(superposition,[],[f60935,f59058])). 83.95/12.27 tff(f59058,plain,( 83.95/12.27 empty_set = union(intersection(sF12,complement(sF14)),empty_set) | ~spl19_317), 83.95/12.27 inference(avatar_component_clause,[],[f59057])). 83.95/12.27 tff(f108798,plain,( 83.95/12.27 spl19_190 | spl19_4 | ~spl19_516), 83.95/12.27 inference(avatar_split_clause,[],[f108795,f108521,f102,f53936])). 83.95/12.27 tff(f53936,plain,( 83.95/12.27 spl19_190 <=> empty_set = union(sK5,empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_190])])). 83.95/12.27 tff(f108521,plain,( 83.95/12.27 spl19_516 <=> sK6 = sK0(union(sK5,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_516])])). 83.95/12.27 tff(f108795,plain,( 83.95/12.27 empty_set = union(sK5,empty_set) | (spl19_4 | ~spl19_516)), 83.95/12.27 inference(subsumption_resolution,[],[f108794,f103])). 83.95/12.27 tff(f108794,plain,( 83.95/12.27 empty_set = union(sK5,empty_set) | member(sK6,sK5) | ~spl19_516), 83.95/12.27 inference(subsumption_resolution,[],[f108792,f162])). 83.95/12.27 tff(f108792,plain,( 83.95/12.27 member(sK6,empty_set) | empty_set = union(sK5,empty_set) | member(sK6,sK5) | ~spl19_516), 83.95/12.27 inference(superposition,[],[f347,f108522])). 83.95/12.27 tff(f108522,plain,( 83.95/12.27 sK6 = sK0(union(sK5,empty_set)) | ~spl19_516), 83.95/12.27 inference(avatar_component_clause,[],[f108521])). 83.95/12.27 tff(f108531,plain,( 83.95/12.27 spl19_518 | ~spl19_15 | ~spl19_422), 83.95/12.27 inference(avatar_split_clause,[],[f108511,f76892,f146,f108529])). 83.95/12.27 tff(f108529,plain,( 83.95/12.27 spl19_518 <=> member(sK0(union(sK5,empty_set)),sF12)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_518])])). 83.95/12.27 tff(f76892,plain,( 83.95/12.27 spl19_422 <=> member(sK0(union(sK5,empty_set)),sF11)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_422])])). 83.95/12.27 tff(f108511,plain,( 83.95/12.27 member(sK0(union(sK5,empty_set)),sF12) | (~spl19_15 | ~spl19_422)), 83.95/12.27 inference(resolution,[],[f76893,f237])). 83.95/12.27 tff(f76893,plain,( 83.95/12.27 member(sK0(union(sK5,empty_set)),sF11) | ~spl19_422), 83.95/12.27 inference(avatar_component_clause,[],[f76892])). 83.95/12.27 tff(f108527,plain,( 83.95/12.27 ~spl19_517 | ~spl19_141 | ~spl19_422), 83.95/12.27 inference(avatar_split_clause,[],[f108509,f76892,f51939,f108525])). 83.95/12.27 tff(f108525,plain,( 83.95/12.27 spl19_517 <=> member(sK0(union(sK5,empty_set)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_517])])). 83.95/12.27 tff(f108509,plain,( 83.95/12.27 ~member(sK0(union(sK5,empty_set)),sF9) | (~spl19_141 | ~spl19_422)), 83.95/12.27 inference(resolution,[],[f76893,f51950])). 83.95/12.27 tff(f108523,plain,( 83.95/12.27 spl19_516 | ~spl19_9 | ~spl19_422), 83.95/12.27 inference(avatar_split_clause,[],[f108507,f76892,f122,f108521])). 83.95/12.27 tff(f108507,plain,( 83.95/12.27 sK6 = sK0(union(sK5,empty_set)) | (~spl19_9 | ~spl19_422)), 83.95/12.27 inference(resolution,[],[f76893,f205])). 83.95/12.27 tff(f106723,plain,( 83.95/12.27 ~spl19_118 | ~spl19_409), 83.95/12.27 inference(avatar_contradiction_clause,[],[f106667])). 83.95/12.27 tff(f106667,plain,( 83.95/12.27 $false | (~spl19_118 | ~spl19_409)), 83.95/12.27 inference(resolution,[],[f106650,f12557])). 83.95/12.27 tff(f106650,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sK5)) ) | ~spl19_409), 83.95/12.27 inference(subsumption_resolution,[],[f106623,f162])). 83.95/12.27 tff(f106623,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sK5)) ) | ~spl19_409), 83.95/12.27 inference(superposition,[],[f54,f76055])). 83.95/12.27 tff(f76055,plain,( 83.95/12.27 empty_set = union(sK5,sK5) | ~spl19_409), 83.95/12.27 inference(avatar_component_clause,[],[f76054])). 83.95/12.27 tff(f76054,plain,( 83.95/12.27 spl19_409 <=> empty_set = union(sK5,sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_409])])). 83.95/12.27 tff(f106722,plain,( 83.95/12.27 ~spl19_225 | ~spl19_409), 83.95/12.27 inference(avatar_contradiction_clause,[],[f106672])). 83.95/12.27 tff(f106672,plain,( 83.95/12.27 $false | (~spl19_225 | ~spl19_409)), 83.95/12.27 inference(resolution,[],[f106650,f54538])). 83.95/12.27 tff(f106721,plain,( 83.95/12.27 ~spl19_121 | ~spl19_409), 83.95/12.27 inference(avatar_contradiction_clause,[],[f106675])). 83.95/12.27 tff(f106675,plain,( 83.95/12.27 $false | (~spl19_121 | ~spl19_409)), 83.95/12.27 inference(resolution,[],[f106650,f31141])). 83.95/12.27 tff(f31141,plain,( 83.95/12.27 member(sK0(complement(complement(sF9))),sK5) | ~spl19_121), 83.95/12.27 inference(avatar_component_clause,[],[f31140])). 83.95/12.27 tff(f106720,plain,( 83.95/12.27 ~spl19_107 | ~spl19_409), 83.95/12.27 inference(avatar_contradiction_clause,[],[f106665])). 83.95/12.27 tff(f106665,plain,( 83.95/12.27 $false | (~spl19_107 | ~spl19_409)), 83.95/12.27 inference(resolution,[],[f106650,f11217])). 83.95/12.27 tff(f106719,plain,( 83.95/12.27 ~spl19_356 | ~spl19_409), 83.95/12.27 inference(avatar_contradiction_clause,[],[f106666])). 83.95/12.27 tff(f106666,plain,( 83.95/12.27 $false | (~spl19_356 | ~spl19_409)), 83.95/12.27 inference(resolution,[],[f106650,f67170])). 83.95/12.27 tff(f106718,plain,( 83.95/12.27 ~spl19_130 | ~spl19_409), 83.95/12.27 inference(avatar_contradiction_clause,[],[f106677])). 83.95/12.27 tff(f106677,plain,( 83.95/12.27 $false | (~spl19_130 | ~spl19_409)), 83.95/12.27 inference(resolution,[],[f106650,f38992])). 83.95/12.27 tff(f106717,plain,( 83.95/12.27 ~spl19_105 | ~spl19_409), 83.95/12.27 inference(avatar_contradiction_clause,[],[f106676])). 83.95/12.27 tff(f106676,plain,( 83.95/12.27 $false | (~spl19_105 | ~spl19_409)), 83.95/12.27 inference(resolution,[],[f106650,f9609])). 83.95/12.27 tff(f106716,plain,( 83.95/12.27 ~spl19_42 | ~spl19_409), 83.95/12.27 inference(avatar_contradiction_clause,[],[f106715])). 83.95/12.27 tff(f106715,plain,( 83.95/12.27 $false | (~spl19_42 | ~spl19_409)), 83.95/12.27 inference(resolution,[],[f106650,f494])). 83.95/12.27 tff(f106601,plain,( 83.95/12.27 spl19_1 | ~spl19_343), 83.95/12.27 inference(avatar_contradiction_clause,[],[f106599])). 83.95/12.27 tff(f106599,plain,( 83.95/12.27 $false | (spl19_1 | ~spl19_343)), 83.95/12.27 inference(resolution,[],[f106379,f91])). 83.95/12.27 tff(f106379,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,sK2)) ) | ~spl19_343), 83.95/12.27 inference(subsumption_resolution,[],[f106329,f162])). 83.95/12.27 tff(f106329,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | member(X0,sK2)) ) | ~spl19_343), 83.95/12.27 inference(superposition,[],[f57,f65840])). 83.95/12.27 tff(f65840,plain,( 83.95/12.27 empty_set = complement(sK2) | ~spl19_343), 83.95/12.27 inference(avatar_component_clause,[],[f65839])). 83.95/12.27 tff(f65839,plain,( 83.95/12.27 spl19_343 <=> empty_set = complement(sK2)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_343])])). 83.95/12.27 tff(f106429,plain,( 83.95/12.27 spl19_220 | spl19_221 | spl19_222 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f54813,f1281,f264,f150,f98,f54485,f54482,f54479])). 83.95/12.27 tff(f54482,plain,( 83.95/12.27 spl19_221 <=> member(sK0(union(sF14,empty_set)),sF12)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_221])])). 83.95/12.27 tff(f54813,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF13) | member(sK0(union(sF14,empty_set)),sF12) | empty_set = union(sF14,empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f53900,f151])). 83.95/12.27 tff(f106283,plain,( 83.95/12.27 ~spl19_41 | ~spl19_318 | ~spl19_411), 83.95/12.27 inference(avatar_contradiction_clause,[],[f106282])). 83.95/12.27 tff(f106282,plain,( 83.95/12.27 $false | (~spl19_41 | ~spl19_318 | ~spl19_411)), 83.95/12.27 inference(resolution,[],[f106194,f489])). 83.95/12.27 tff(f106194,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sF9)) ) | (~spl19_318 | ~spl19_411)), 83.95/12.27 inference(resolution,[],[f105844,f61875])). 83.95/12.27 tff(f105844,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(sK5))) ) | ~spl19_411), 83.95/12.27 inference(subsumption_resolution,[],[f105797,f162])). 83.95/12.27 tff(f105797,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(sK5)) | member(X0,empty_set)) ) | ~spl19_411), 83.95/12.27 inference(superposition,[],[f57,f76236])). 83.95/12.27 tff(f76236,plain,( 83.95/12.27 empty_set = complement(complement(sK5)) | ~spl19_411), 83.95/12.27 inference(avatar_component_clause,[],[f76235])). 83.95/12.27 tff(f76235,plain,( 83.95/12.27 spl19_411 <=> empty_set = complement(complement(sK5))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_411])])). 83.95/12.27 tff(f105901,plain,( 83.95/12.27 spl19_515 | ~spl19_410 | ~spl19_411), 83.95/12.27 inference(avatar_split_clause,[],[f105795,f76235,f76232,f105899])). 83.95/12.27 tff(f105899,plain,( 83.95/12.27 spl19_515 <=> member(sK0(empty_set),sK2)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_515])])). 83.95/12.27 tff(f105795,plain,( 83.95/12.27 member(sK0(empty_set),sK2) | (~spl19_410 | ~spl19_411)), 83.95/12.27 inference(backward_demodulation,[],[f76233,f76236])). 83.95/12.27 tff(f105597,plain,( 83.95/12.27 ~spl19_514 | spl19_411 | ~spl19_497), 83.95/12.27 inference(avatar_split_clause,[],[f99413,f98242,f76235,f105595])). 83.95/12.27 tff(f105595,plain,( 83.95/12.27 spl19_514 <=> member(sK0(complement(complement(sK5))),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_514])])). 83.95/12.27 tff(f98242,plain,( 83.95/12.27 spl19_497 <=> empty_set = difference(sF13,complement(sK5))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_497])])). 83.95/12.27 tff(f99413,plain,( 83.95/12.27 ~member(sK0(complement(complement(sK5))),sF13) | empty_set = complement(complement(sK5)) | ~spl19_497), 83.95/12.27 inference(resolution,[],[f98297,f222])). 83.95/12.27 tff(f98297,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(sK5)) | ~member(X0,sF13)) ) | ~spl19_497), 83.95/12.27 inference(subsumption_resolution,[],[f98253,f162])). 83.95/12.27 tff(f98253,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | member(X0,complement(sK5)) | ~member(X0,sF13)) ) | ~spl19_497), 83.95/12.27 inference(superposition,[],[f61,f98243])). 83.95/12.27 tff(f98243,plain,( 83.95/12.27 empty_set = difference(sF13,complement(sK5)) | ~spl19_497), 83.95/12.27 inference(avatar_component_clause,[],[f98242])). 83.95/12.27 tff(f105583,plain,( 83.95/12.27 ~spl19_513 | spl19_120 | ~spl19_493), 83.95/12.27 inference(avatar_split_clause,[],[f99236,f97678,f31137,f105581])). 83.95/12.27 tff(f97678,plain,( 83.95/12.27 spl19_493 <=> empty_set = difference(sF11,complement(sF9))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_493])])). 83.95/12.27 tff(f99236,plain,( 83.95/12.27 empty_set = complement(complement(sF9)) | ~member(sK0(complement(complement(sF9))),sF11) | ~spl19_493), 83.95/12.27 inference(resolution,[],[f98226,f222])). 83.95/12.27 tff(f98226,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(sF9)) | ~member(X0,sF11)) ) | ~spl19_493), 83.95/12.27 inference(subsumption_resolution,[],[f98161,f162])). 83.95/12.27 tff(f98161,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF11) | member(X0,complement(sF9))) ) | ~spl19_493), 83.95/12.27 inference(superposition,[],[f61,f97679])). 83.95/12.27 tff(f97679,plain,( 83.95/12.27 empty_set = difference(sF11,complement(sF9)) | ~spl19_493), 83.95/12.27 inference(avatar_component_clause,[],[f97678])). 83.95/12.27 tff(f105578,plain,( 83.95/12.27 ~spl19_400 | spl19_399 | ~spl19_492), 83.95/12.27 inference(avatar_split_clause,[],[f99206,f97674,f74604,f74607])). 83.95/12.27 tff(f74607,plain,( 83.95/12.27 spl19_400 <=> member(sK0(complement(complement(sF13))),sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_400])])). 83.95/12.27 tff(f74604,plain,( 83.95/12.27 spl19_399 <=> empty_set = complement(complement(sF13))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_399])])). 83.95/12.27 tff(f97674,plain,( 83.95/12.27 spl19_492 <=> empty_set = difference(sK5,complement(sF13))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_492])])). 83.95/12.27 tff(f99206,plain,( 83.95/12.27 empty_set = complement(complement(sF13)) | ~member(sK0(complement(complement(sF13))),sK5) | ~spl19_492), 83.95/12.27 inference(resolution,[],[f98128,f222])). 83.95/12.27 tff(f98128,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(sF13)) | ~member(X0,sK5)) ) | ~spl19_492), 83.95/12.27 inference(subsumption_resolution,[],[f98076,f162])). 83.95/12.27 tff(f98076,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | member(X0,complement(sF13)) | ~member(X0,sK5)) ) | ~spl19_492), 83.95/12.27 inference(superposition,[],[f61,f97675])). 83.95/12.27 tff(f97675,plain,( 83.95/12.27 empty_set = difference(sK5,complement(sF13)) | ~spl19_492), 83.95/12.27 inference(avatar_component_clause,[],[f97674])). 83.95/12.27 tff(f105393,plain,( 83.95/12.27 ~spl19_413 | spl19_399 | ~spl19_491), 83.95/12.27 inference(avatar_split_clause,[],[f99176,f97670,f74604,f76337])). 83.95/12.27 tff(f76337,plain,( 83.95/12.27 spl19_413 <=> member(sK0(complement(complement(sF13))),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_413])])). 83.95/12.27 tff(f97670,plain,( 83.95/12.27 spl19_491 <=> empty_set = difference(sF9,complement(sF13))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_491])])). 83.95/12.27 tff(f99176,plain,( 83.95/12.27 ~member(sK0(complement(complement(sF13))),sF9) | empty_set = complement(complement(sF13)) | ~spl19_491), 83.95/12.27 inference(resolution,[],[f98035,f222])). 83.95/12.27 tff(f98035,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(sF13)) | ~member(X0,sF9)) ) | ~spl19_491), 83.95/12.27 inference(subsumption_resolution,[],[f97996,f162])). 83.95/12.27 tff(f97996,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF9) | member(X0,complement(sF13))) ) | ~spl19_491), 83.95/12.27 inference(superposition,[],[f61,f97671])). 83.95/12.27 tff(f97671,plain,( 83.95/12.27 empty_set = difference(sF9,complement(sF13)) | ~spl19_491), 83.95/12.27 inference(avatar_component_clause,[],[f97670])). 83.95/12.27 tff(f105392,plain,( 83.95/12.27 ~spl19_512 | spl19_399 | ~spl19_490), 83.95/12.27 inference(avatar_split_clause,[],[f99145,f97666,f74604,f105390])). 83.95/12.27 tff(f105390,plain,( 83.95/12.27 spl19_512 <=> member(sK0(complement(complement(sF13))),sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_512])])). 83.95/12.27 tff(f97666,plain,( 83.95/12.27 spl19_490 <=> empty_set = difference(sF18,complement(sF13))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_490])])). 83.95/12.27 tff(f99145,plain,( 83.95/12.27 empty_set = complement(complement(sF13)) | ~member(sK0(complement(complement(sF13))),sF18) | ~spl19_490), 83.95/12.27 inference(resolution,[],[f97743,f222])). 83.95/12.27 tff(f97743,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(sF13)) | ~member(X0,sF18)) ) | ~spl19_490), 83.95/12.27 inference(subsumption_resolution,[],[f97702,f162])). 83.95/12.27 tff(f97702,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | member(X0,complement(sF13)) | ~member(X0,sF18)) ) | ~spl19_490), 83.95/12.27 inference(superposition,[],[f61,f97667])). 83.95/12.27 tff(f97667,plain,( 83.95/12.27 empty_set = difference(sF18,complement(sF13)) | ~spl19_490), 83.95/12.27 inference(avatar_component_clause,[],[f97666])). 83.95/12.27 tff(f105386,plain,( 83.95/12.27 spl19_511 | ~spl19_98 | ~spl19_488), 83.95/12.27 inference(avatar_split_clause,[],[f95711,f95602,f6758,f105383])). 83.95/12.27 tff(f95711,plain,( 83.95/12.27 $sum(1,cardinality(complement(sF18))) = cardinality(union(sF8,complement(sF18))) | (~spl19_98 | ~spl19_488)), 83.95/12.27 inference(forward_demodulation,[],[f95708,f6759])). 83.95/12.27 tff(f95708,plain,( 83.95/12.27 $sum(cardinality(sF8),cardinality(complement(sF18))) = cardinality(union(sF8,complement(sF18))) | ~spl19_488), 83.95/12.27 inference(trivial_inequality_removal,[],[f95670])). 83.95/12.27 tff(f95670,plain,( 83.95/12.27 empty_set != empty_set | $sum(cardinality(sF8),cardinality(complement(sF18))) = cardinality(union(sF8,complement(sF18))) | ~spl19_488), 83.95/12.27 inference(superposition,[],[f73,f95603])). 83.95/12.27 tff(f105385,plain,( 83.95/12.27 spl19_511 | ~spl19_8 | ~spl19_488), 83.95/12.27 inference(avatar_split_clause,[],[f95707,f95602,f118,f105383])). 83.95/12.27 tff(f95707,plain,( 83.95/12.27 $sum(1,cardinality(complement(sF18))) = cardinality(union(sF8,complement(sF18))) | (~spl19_8 | ~spl19_488)), 83.95/12.27 inference(trivial_inequality_removal,[],[f95659])). 83.95/12.27 tff(f95659,plain,( 83.95/12.27 empty_set != empty_set | $sum(1,cardinality(complement(sF18))) = cardinality(union(sF8,complement(sF18))) | (~spl19_8 | ~spl19_488)), 83.95/12.27 inference(superposition,[],[f437,f95603])). 83.95/12.27 tff(f105351,plain,( 83.95/12.27 spl19_510 | ~spl19_99 | ~spl19_487), 83.95/12.27 inference(avatar_split_clause,[],[f95522,f95313,f6762,f105349])). 83.95/12.27 tff(f105349,plain,( 83.95/12.27 spl19_510 <=> $sum(1,cardinality(complement(sF18))) = cardinality(union(sF9,complement(sF18)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_510])])). 83.95/12.27 tff(f95313,plain,( 83.95/12.27 spl19_487 <=> empty_set = intersection(sF9,complement(sF18))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_487])])). 83.95/12.27 tff(f95522,plain,( 83.95/12.27 $sum(1,cardinality(complement(sF18))) = cardinality(union(sF9,complement(sF18))) | (~spl19_99 | ~spl19_487)), 83.95/12.27 inference(forward_demodulation,[],[f95506,f6763])). 83.95/12.27 tff(f95506,plain,( 83.95/12.27 $sum(cardinality(sF9),cardinality(complement(sF18))) = cardinality(union(sF9,complement(sF18))) | ~spl19_487), 83.95/12.27 inference(trivial_inequality_removal,[],[f95469])). 83.95/12.27 tff(f95469,plain,( 83.95/12.27 $sum(cardinality(sF9),cardinality(complement(sF18))) = cardinality(union(sF9,complement(sF18))) | empty_set != empty_set | ~spl19_487), 83.95/12.27 inference(superposition,[],[f73,f95314])). 83.95/12.27 tff(f95314,plain,( 83.95/12.27 empty_set = intersection(sF9,complement(sF18)) | ~spl19_487), 83.95/12.27 inference(avatar_component_clause,[],[f95313])). 83.95/12.27 tff(f105347,plain,( 83.95/12.27 spl19_509 | ~spl19_98 | ~spl19_486), 83.95/12.27 inference(avatar_split_clause,[],[f95435,f95308,f6758,f105344])). 83.95/12.27 tff(f95435,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK5))) = cardinality(union(sF8,complement(sK5))) | (~spl19_98 | ~spl19_486)), 83.95/12.27 inference(forward_demodulation,[],[f95426,f6759])). 83.95/12.27 tff(f95426,plain,( 83.95/12.27 $sum(cardinality(sF8),cardinality(complement(sK5))) = cardinality(union(sF8,complement(sK5))) | ~spl19_486), 83.95/12.27 inference(trivial_inequality_removal,[],[f95388])). 83.95/12.27 tff(f95388,plain,( 83.95/12.27 $sum(cardinality(sF8),cardinality(complement(sK5))) = cardinality(union(sF8,complement(sK5))) | empty_set != empty_set | ~spl19_486), 83.95/12.27 inference(superposition,[],[f73,f95309])). 83.95/12.27 tff(f105346,plain,( 83.95/12.27 spl19_509 | ~spl19_8 | ~spl19_486), 83.95/12.27 inference(avatar_split_clause,[],[f95425,f95308,f118,f105344])). 83.95/12.27 tff(f95425,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK5))) = cardinality(union(sF8,complement(sK5))) | (~spl19_8 | ~spl19_486)), 83.95/12.27 inference(trivial_inequality_removal,[],[f95377])). 83.95/12.27 tff(f95377,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK5))) = cardinality(union(sF8,complement(sK5))) | empty_set != empty_set | (~spl19_8 | ~spl19_486)), 83.95/12.27 inference(superposition,[],[f437,f95309])). 83.95/12.27 tff(f105192,plain,( 83.95/12.27 spl19_508 | ~spl19_98 | ~spl19_485), 83.95/12.27 inference(avatar_split_clause,[],[f94122,f94044,f6758,f105190])). 83.95/12.27 tff(f105190,plain,( 83.95/12.27 spl19_508 <=> $sum(1,cardinality(complement(sK5))) = cardinality(union(complement(sK5),sF8))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_508])])). 83.95/12.27 tff(f94044,plain,( 83.95/12.27 spl19_485 <=> empty_set = intersection(complement(sK5),sF8)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_485])])). 83.95/12.27 tff(f94122,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK5))) = cardinality(union(complement(sK5),sF8)) | (~spl19_98 | ~spl19_485)), 83.95/12.27 inference(forward_demodulation,[],[f94121,f15])). 83.95/12.27 tff(f94121,plain,( 83.95/12.27 $sum(cardinality(complement(sK5)),1) = cardinality(union(complement(sK5),sF8)) | (~spl19_98 | ~spl19_485)), 83.95/12.27 inference(forward_demodulation,[],[f94102,f6759])). 83.95/12.27 tff(f94102,plain,( 83.95/12.27 cardinality(union(complement(sK5),sF8)) = $sum(cardinality(complement(sK5)),cardinality(sF8)) | ~spl19_485), 83.95/12.27 inference(trivial_inequality_removal,[],[f94065])). 83.95/12.27 tff(f94065,plain,( 83.95/12.27 empty_set != empty_set | cardinality(union(complement(sK5),sF8)) = $sum(cardinality(complement(sK5)),cardinality(sF8)) | ~spl19_485), 83.95/12.27 inference(superposition,[],[f73,f94045])). 83.95/12.27 tff(f94045,plain,( 83.95/12.27 empty_set = intersection(complement(sK5),sF8) | ~spl19_485), 83.95/12.27 inference(avatar_component_clause,[],[f94044])). 83.95/12.27 tff(f105181,plain,( 83.95/12.27 spl19_343 | spl19_507 | ~spl19_505), 83.95/12.27 inference(avatar_split_clause,[],[f100992,f99485,f105179,f65839])). 83.95/12.27 tff(f100992,plain,( 83.95/12.27 member(sK0(complement(sK2)),complement(sF18)) | empty_set = complement(sK2) | ~spl19_505), 83.95/12.27 inference(resolution,[],[f100209,f59])). 83.95/12.27 tff(f105176,plain,( 83.95/12.27 spl19_340 | spl19_506 | ~spl19_504), 83.95/12.27 inference(avatar_split_clause,[],[f100582,f99435,f105174,f65829])). 83.95/12.27 tff(f65829,plain,( 83.95/12.27 spl19_340 <=> empty_set = complement(sF12)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_340])])). 83.95/12.27 tff(f105174,plain,( 83.95/12.27 spl19_506 <=> member(sK0(complement(sF12)),complement(sF9))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_506])])). 83.95/12.27 tff(f100582,plain,( 83.95/12.27 member(sK0(complement(sF12)),complement(sF9)) | empty_set = complement(sF12) | ~spl19_504), 83.95/12.27 inference(resolution,[],[f99949,f59])). 83.95/12.27 tff(f99487,plain,( 83.95/12.27 spl19_505 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f97656,f58997,f99485])). 83.95/12.27 tff(f58997,plain,( 83.95/12.27 spl19_315 <=> empty_set = union(intersection(sF18,complement(sK2)),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_315])])). 83.95/12.27 tff(f97656,plain,( 83.95/12.27 empty_set = difference(complement(sK2),complement(sF18)) | ~spl19_315), 83.95/12.27 inference(duplicate_literal_removal,[],[f97549])). 83.95/12.27 tff(f97549,plain,( 83.95/12.27 empty_set = difference(complement(sK2),complement(sF18)) | empty_set = difference(complement(sK2),complement(sF18)) | ~spl19_315), 83.95/12.27 inference(resolution,[],[f5059,f60049])). 83.95/12.27 tff(f60049,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(difference(complement(sK2),X0)),sF18) | empty_set = difference(complement(sK2),X0)) ) | ~spl19_315), 83.95/12.27 inference(resolution,[],[f59852,f245])). 83.95/12.27 tff(f59852,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,complement(sK2)) | ~member(X0,sF18)) ) | ~spl19_315), 83.95/12.27 inference(resolution,[],[f59771,f46])). 83.95/12.27 tff(f59771,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(sF18,complement(sK2)))) ) | ~spl19_315), 83.95/12.27 inference(subsumption_resolution,[],[f59766,f162])). 83.95/12.27 tff(f59766,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,intersection(sF18,complement(sK2)))) ) | ~spl19_315), 83.95/12.27 inference(superposition,[],[f54,f58998])). 83.95/12.27 tff(f58998,plain,( 83.95/12.27 empty_set = union(intersection(sF18,complement(sK2)),empty_set) | ~spl19_315), 83.95/12.27 inference(avatar_component_clause,[],[f58997])). 83.95/12.27 tff(f99437,plain,( 83.95/12.27 spl19_504 | ~spl19_314), 83.95/12.27 inference(avatar_split_clause,[],[f97652,f58993,f99435])). 83.95/12.27 tff(f97652,plain,( 83.95/12.27 empty_set = difference(complement(sF12),complement(sF9)) | ~spl19_314), 83.95/12.27 inference(duplicate_literal_removal,[],[f97545])). 83.95/12.27 tff(f97545,plain,( 83.95/12.27 empty_set = difference(complement(sF12),complement(sF9)) | empty_set = difference(complement(sF12),complement(sF9)) | ~spl19_314), 83.95/12.27 inference(resolution,[],[f5059,f59754])). 83.95/12.27 tff(f59754,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(difference(complement(sF12),X0)),sF9) | empty_set = difference(complement(sF12),X0)) ) | ~spl19_314), 83.95/12.27 inference(resolution,[],[f59558,f245])). 83.95/12.27 tff(f98730,plain,( 83.95/12.27 spl19_502 | spl19_503 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_140), 83.95/12.27 inference(avatar_split_clause,[],[f79101,f42703,f1281,f264,f122,f98,f98728,f98725])). 83.95/12.27 tff(f98725,plain,( 83.95/12.27 spl19_502 <=> member(sK6,complement(empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_502])])). 83.95/12.27 tff(f98728,plain,( 83.95/12.27 spl19_503 <=> ! [X0 : element] : ~member(X0,difference(sF11,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_503])])). 83.95/12.27 tff(f79101,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,difference(sF11,empty_set)) | member(sK6,complement(empty_set))) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_140)), 83.95/12.27 inference(superposition,[],[f79063,f42704])). 83.95/12.27 tff(f79063,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,difference(sF11,complement(X0))) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f79049,f162])). 83.95/12.27 tff(f79049,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,difference(sF11,complement(X0))) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f59157])). 83.95/12.27 tff(f59157,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(difference(sF11,complement(X0)),empty_set) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59154])). 83.95/12.27 tff(f59154,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(difference(sF11,complement(X0)),empty_set) | member(sK6,X0) | empty_set = union(difference(sF11,complement(X0)),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54292,f54321])). 83.95/12.27 tff(f98625,plain,( 83.95/12.27 spl19_500 | spl19_501 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_140), 83.95/12.27 inference(avatar_split_clause,[],[f78241,f42703,f1281,f264,f126,f98,f98623,f98620])). 83.95/12.27 tff(f98620,plain,( 83.95/12.27 spl19_500 <=> ! [X0 : element] : ~member(X0,difference(sF13,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_500])])). 83.95/12.27 tff(f98623,plain,( 83.95/12.27 spl19_501 <=> member(sK7,complement(empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_501])])). 83.95/12.27 tff(f78241,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK7,complement(empty_set)) | ~member(X0,difference(sF13,empty_set))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_140)), 83.95/12.27 inference(superposition,[],[f78148,f42704])). 83.95/12.27 tff(f78148,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,difference(sF13,complement(X0))) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f78135,f162])). 83.95/12.27 tff(f78135,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | member(sK7,X0) | ~member(X1,difference(sF13,complement(X0)))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f59156])). 83.95/12.27 tff(f59156,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(difference(sF13,complement(X0)),empty_set) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59155])). 83.95/12.27 tff(f59155,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK7,X0) | empty_set = union(difference(sF13,complement(X0)),empty_set) | empty_set = union(difference(sF13,complement(X0)),empty_set)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54292,f54326])). 83.95/12.27 tff(f98618,plain,( 83.95/12.27 spl19_499 | ~spl19_146), 83.95/12.27 inference(avatar_split_clause,[],[f97654,f52205,f98616])). 83.95/12.27 tff(f98616,plain,( 83.95/12.27 spl19_499 <=> empty_set = difference(sF13,complement(sF9))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_499])])). 83.95/12.27 tff(f97654,plain,( 83.95/12.27 empty_set = difference(sF13,complement(sF9)) | ~spl19_146), 83.95/12.27 inference(duplicate_literal_removal,[],[f97544])). 83.95/12.27 tff(f97544,plain,( 83.95/12.27 empty_set = difference(sF13,complement(sF9)) | empty_set = difference(sF13,complement(sF9)) | ~spl19_146), 83.95/12.27 inference(resolution,[],[f5059,f52581])). 83.95/12.27 tff(f52581,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(difference(sF13,X0)),sF9) | empty_set = difference(sF13,X0)) ) | ~spl19_146), 83.95/12.27 inference(resolution,[],[f52235,f245])). 83.95/12.27 tff(f98524,plain,( 83.95/12.27 spl19_498 | spl19_232 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f98394,f1281,f264,f122,f98,f54660,f98522])). 83.95/12.27 tff(f98522,plain,( 83.95/12.27 spl19_498 <=> ! [X0 : set] : member(sK6,complement(X0))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_498])])). 83.95/12.27 tff(f98394,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK6,complement(X0))) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f98337,f57])). 83.95/12.27 tff(f98337,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(sK6,X0) | member(X1,complement(empty_set)) | member(sK6,complement(X0))) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55232,f78153])). 83.95/12.27 tff(f78153,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(complement(X0),sF11) | ~member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f78122,f59])). 83.95/12.27 tff(f78122,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(complement(X0),sF11)) | ~member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f78107,f162])). 83.95/12.27 tff(f78107,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(complement(X0),sF11)) | ~member(sK6,X0) | member(X1,empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f59099])). 83.95/12.27 tff(f59099,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(intersection(complement(X0),sF11),empty_set) | ~member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59086])). 83.95/12.27 tff(f59086,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK6,X0) | empty_set = union(intersection(complement(X0),sF11),empty_set) | empty_set = union(intersection(complement(X0),sF11),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54250,f54220])). 83.95/12.27 tff(f98244,plain,( 83.95/12.27 spl19_497 | ~spl19_164), 83.95/12.27 inference(avatar_split_clause,[],[f97663,f52974,f98242])). 83.95/12.27 tff(f97663,plain,( 83.95/12.27 empty_set = difference(sF13,complement(sK5)) | ~spl19_164), 83.95/12.27 inference(duplicate_literal_removal,[],[f97542])). 83.95/12.27 tff(f97542,plain,( 83.95/12.27 empty_set = difference(sF13,complement(sK5)) | empty_set = difference(sF13,complement(sK5)) | ~spl19_164), 83.95/12.27 inference(resolution,[],[f5059,f53001])). 83.95/12.27 tff(f53001,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(difference(sF13,X0)),sK5) | empty_set = difference(sF13,X0)) ) | ~spl19_164), 83.95/12.27 inference(resolution,[],[f52998,f245])). 83.95/12.27 tff(f98240,plain,( 83.95/12.27 spl19_496 | spl19_232 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f97985,f1281,f264,f126,f98,f54660,f98238])). 83.95/12.27 tff(f98238,plain,( 83.95/12.27 spl19_496 <=> ! [X0 : set] : member(sK7,complement(X0))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_496])])). 83.95/12.27 tff(f97985,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK7,complement(X0))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f97899,f57])). 83.95/12.27 tff(f97899,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK7,complement(X0)) | member(X1,complement(empty_set)) | ~member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55925,f77539])). 83.95/12.27 tff(f77539,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(complement(X0),sF13) | ~member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f77444,f59])). 83.95/12.27 tff(f77444,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(complement(X0),sF13)) | ~member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f77427,f162])). 83.95/12.27 tff(f77427,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,intersection(complement(X0),sF13)) | ~member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f59096])). 83.95/12.27 tff(f59096,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(intersection(complement(X0),sF13),empty_set) | ~member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59087])). 83.95/12.27 tff(f59087,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(intersection(complement(X0),sF13),empty_set) | ~member(sK7,X0) | empty_set = union(intersection(complement(X0),sF13),empty_set)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54250,f54225])). 83.95/12.27 tff(f97887,plain,( 83.95/12.27 spl19_495 | spl19_232 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f97842,f1281,f264,f118,f98,f54660,f97885])). 83.95/12.27 tff(f97885,plain,( 83.95/12.27 spl19_495 <=> ! [X0 : set] : member(sK1,complement(X0))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_495])])). 83.95/12.27 tff(f97842,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK1,complement(X0)) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f97793,f57])). 83.95/12.27 tff(f97793,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK1,complement(X0)) | ~member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54643,f77492])). 83.95/12.27 tff(f77492,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(complement(X0),sF8) | ~member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f77415,f59])). 83.95/12.27 tff(f77415,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(complement(X0),sF8)) | ~member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f77399,f162])). 83.95/12.27 tff(f77399,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(sK1,X0) | member(X1,empty_set) | ~member(X1,intersection(complement(X0),sF8))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f59092])). 83.95/12.27 tff(f59092,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(intersection(complement(X0),sF8),empty_set) | ~member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59085])). 83.95/12.27 tff(f59085,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(intersection(complement(X0),sF8),empty_set) | ~member(sK1,X0) | empty_set = union(intersection(complement(X0),sF8),empty_set)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54250,f54211])). 83.95/12.27 tff(f97698,plain,( 83.95/12.27 spl19_53 | spl19_494 | ~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f97160,f1281,f264,f150,f122,f98,f97696,f567])). 83.95/12.27 tff(f97696,plain,( 83.95/12.27 spl19_494 <=> empty_set = intersection(sF11,sF12)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_494])])). 83.95/12.27 tff(f97160,plain,( 83.95/12.27 member(sK6,sF14) | empty_set = intersection(sF11,sF12) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f77247,f123])). 83.95/12.27 tff(f77247,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF12) | member(X0,sF14)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f77242,f59])). 83.95/12.27 tff(f77242,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (~member(X1,intersection(singleton(X0),sF12)) | member(X0,sF14)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f77228,f162])). 83.95/12.27 tff(f77228,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (member(X1,empty_set) | member(X0,sF14) | ~member(X1,intersection(singleton(X0),sF12))) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f59046])). 83.95/12.27 tff(f97688,plain,( 83.95/12.27 ~spl19_271 | spl19_1 | ~spl19_3 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_60 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f97686,f1281,f1019,f264,f181,f158,f126,f114,f98,f90,f55520])). 83.95/12.27 tff(f97686,plain,( 83.95/12.27 ~member(sK7,sF11) | (spl19_1 | ~spl19_3 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_60 | ~spl19_61)), 83.95/12.27 inference(forward_demodulation,[],[f97685,f1020])). 83.95/12.27 tff(f97685,plain,( 83.95/12.27 ~member(sK0(sF13),sF11) | (spl19_1 | ~spl19_3 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f97681,f91])). 83.95/12.27 tff(f97681,plain,( 83.95/12.27 ~member(sK0(sF13),sF11) | member(sK7,sK2) | (~spl19_3 | ~spl19_7 | ~spl19_10 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f97449,f127])). 83.95/12.27 tff(f97449,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(sK0(singleton(X0)),sF11) | member(X0,sK2)) ) | (~spl19_3 | ~spl19_7 | ~spl19_18 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f97409,f76881])). 83.95/12.27 tff(f97409,plain,( 83.95/12.27 ( ! [X0 : element] : (singleton(X0) = empty_set | ~member(sK0(singleton(X0)),sF11) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_18)), 83.95/12.27 inference(resolution,[],[f92684,f59])). 83.95/12.27 tff(f92684,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | member(X0,sK2) | ~member(X1,sF11)) ) | (~spl19_7 | ~spl19_18)), 83.95/12.27 inference(subsumption_resolution,[],[f92640,f162])). 83.95/12.27 tff(f92640,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | ~member(X1,sF11) | member(X1,empty_set) | member(X0,sK2)) ) | (~spl19_7 | ~spl19_18)), 83.95/12.27 inference(superposition,[],[f46,f92325])). 83.95/12.27 tff(f97680,plain,( 83.95/12.27 spl19_493 | ~spl19_141), 83.95/12.27 inference(avatar_split_clause,[],[f97662,f51939,f97678])). 83.95/12.27 tff(f97662,plain,( 83.95/12.27 empty_set = difference(sF11,complement(sF9)) | ~spl19_141), 83.95/12.27 inference(duplicate_literal_removal,[],[f97543])). 83.95/12.27 tff(f97543,plain,( 83.95/12.27 empty_set = difference(sF11,complement(sF9)) | empty_set = difference(sF11,complement(sF9)) | ~spl19_141), 83.95/12.27 inference(resolution,[],[f5059,f51965])). 83.95/12.27 tff(f51965,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(difference(sF11,X0)),sF9) | empty_set = difference(sF11,X0)) ) | ~spl19_141), 83.95/12.27 inference(resolution,[],[f51950,f245])). 83.95/12.27 tff(f97676,plain,( 83.95/12.27 spl19_492 | ~spl19_18 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f97659,f52201,f158,f97674])). 83.95/12.27 tff(f97659,plain,( 83.95/12.27 empty_set = difference(sK5,complement(sF13)) | (~spl19_18 | ~spl19_145)), 83.95/12.27 inference(duplicate_literal_removal,[],[f97548])). 83.95/12.27 tff(f97548,plain,( 83.95/12.27 empty_set = difference(sK5,complement(sF13)) | empty_set = difference(sK5,complement(sF13)) | (~spl19_18 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f5059,f55904])). 83.95/12.27 tff(f55904,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(difference(sK5,X0)),sF13) | empty_set = difference(sK5,X0)) ) | (~spl19_18 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f4994,f52220])). 83.95/12.27 tff(f4994,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(difference(sK5,X0)),sF18) | empty_set = difference(sK5,X0)) ) | ~spl19_18), 83.95/12.27 inference(resolution,[],[f245,f243])). 83.95/12.27 tff(f97672,plain,( 83.95/12.27 spl19_491 | ~spl19_5 | ~spl19_18 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f97655,f52201,f158,f106,f97670])). 83.95/12.27 tff(f97655,plain,( 83.95/12.27 empty_set = difference(sF9,complement(sF13)) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.95/12.27 inference(duplicate_literal_removal,[],[f97546])). 83.95/12.27 tff(f97546,plain,( 83.95/12.27 empty_set = difference(sF9,complement(sF13)) | empty_set = difference(sF9,complement(sF13)) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f5059,f52339])). 83.95/12.27 tff(f52339,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(difference(sF9,X0)),sF13) | empty_set = difference(sF9,X0)) ) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f52220,f5040])). 83.95/12.27 tff(f97668,plain,( 83.95/12.27 spl19_490 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f97653,f52201,f97666])). 83.95/12.27 tff(f97653,plain,( 83.95/12.27 empty_set = difference(sF18,complement(sF13)) | ~spl19_145), 83.95/12.27 inference(duplicate_literal_removal,[],[f97547])). 83.95/12.27 tff(f97547,plain,( 83.95/12.27 empty_set = difference(sF18,complement(sF13)) | empty_set = difference(sF18,complement(sF13)) | ~spl19_145), 83.95/12.27 inference(resolution,[],[f5059,f52345])). 83.95/12.27 tff(f52345,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(difference(sF18,X0)),sF13) | empty_set = difference(sF18,X0)) ) | ~spl19_145), 83.95/12.27 inference(resolution,[],[f52220,f245])). 83.95/12.27 tff(f97493,plain,( 83.95/12.27 ~spl19_237 | ~spl19_3 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_20 | ~spl19_26 | ~spl19_58 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f97405,f1281,f685,f264,f181,f138,f122,f106,f102,f98,f54773])). 83.95/12.27 tff(f97405,plain,( 83.95/12.27 ~member(sK6,sF8) | (~spl19_3 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_20 | ~spl19_26 | ~spl19_58 | ~spl19_61)), 83.95/12.27 inference(forward_demodulation,[],[f97404,f686])). 83.95/12.27 tff(f97404,plain,( 83.95/12.27 ~member(sK0(sF11),sF8) | (~spl19_3 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f97400,f103])). 83.95/12.27 tff(f97400,plain,( 83.95/12.27 ~member(sK0(sF11),sF8) | member(sK6,sK5) | (~spl19_3 | ~spl19_5 | ~spl19_9 | ~spl19_13 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f97389,f123])). 83.95/12.27 tff(f97389,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(sK0(singleton(X0)),sF8) | member(X0,sK5)) ) | (~spl19_3 | ~spl19_5 | ~spl19_13 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f97349,f76881])). 83.95/12.27 tff(f97349,plain,( 83.95/12.27 ( ! [X0 : element] : (singleton(X0) = empty_set | ~member(sK0(singleton(X0)),sF8) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_13)), 83.95/12.27 inference(resolution,[],[f92609,f59])). 83.95/12.27 tff(f92609,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (~member(X1,singleton(X0)) | ~member(X1,sF8) | member(X0,sK5)) ) | (~spl19_5 | ~spl19_13)), 83.95/12.27 inference(subsumption_resolution,[],[f92535,f162])). 83.95/12.27 tff(f92535,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (member(X0,sK5) | member(X1,empty_set) | ~member(X1,sF8) | ~member(X1,singleton(X0))) ) | (~spl19_5 | ~spl19_13)), 83.95/12.27 inference(superposition,[],[f46,f92321])). 83.95/12.27 tff(f97407,plain,( 83.95/12.27 ~spl19_268 | ~spl19_3 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_20 | ~spl19_26 | ~spl19_60 | ~spl19_61 | spl19_166), 83.95/12.27 inference(avatar_split_clause,[],[f97403,f53008,f1281,f1019,f264,f181,f138,f126,f106,f98,f55510])). 83.95/12.27 tff(f97403,plain,( 83.95/12.27 ~member(sK7,sF8) | (~spl19_3 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_20 | ~spl19_26 | ~spl19_60 | ~spl19_61 | spl19_166)), 83.95/12.27 inference(forward_demodulation,[],[f97402,f1020])). 83.95/12.27 tff(f97402,plain,( 83.95/12.27 ~member(sK0(sF13),sF8) | (~spl19_3 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_20 | ~spl19_26 | ~spl19_61 | spl19_166)), 83.95/12.27 inference(subsumption_resolution,[],[f97398,f53009])). 83.95/12.27 tff(f97398,plain,( 83.95/12.27 member(sK7,sK5) | ~member(sK0(sF13),sF8) | (~spl19_3 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f97389,f127])). 83.95/12.27 tff(f95745,plain,( 83.95/12.27 ~spl19_489 | spl19_347 | ~spl19_485), 83.95/12.27 inference(avatar_split_clause,[],[f94237,f94044,f66188,f95743])). 83.95/12.27 tff(f95743,plain,( 83.95/12.27 spl19_489 <=> member(sK0(complement(sK5)),sF8)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_489])])). 83.95/12.27 tff(f66188,plain,( 83.95/12.27 spl19_347 <=> empty_set = complement(sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_347])])). 83.95/12.27 tff(f94237,plain,( 83.95/12.27 empty_set = complement(sK5) | ~member(sK0(complement(sK5)),sF8) | ~spl19_485), 83.95/12.27 inference(resolution,[],[f94103,f59])). 83.95/12.27 tff(f94103,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,complement(sK5)) | ~member(X0,sF8)) ) | ~spl19_485), 83.95/12.27 inference(subsumption_resolution,[],[f94062,f162])). 83.95/12.27 tff(f94062,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,complement(sK5)) | member(X0,empty_set) | ~member(X0,sF8)) ) | ~spl19_485), 83.95/12.27 inference(superposition,[],[f46,f94045])). 83.95/12.27 tff(f95604,plain,( 83.95/12.27 spl19_488 | ~spl19_13 | ~spl19_95), 83.95/12.27 inference(avatar_split_clause,[],[f95208,f5373,f138,f95602])). 83.95/12.27 tff(f95208,plain,( 83.95/12.27 empty_set = intersection(sF8,complement(sF18)) | (~spl19_13 | ~spl19_95)), 83.95/12.27 inference(duplicate_literal_removal,[],[f95159])). 83.95/12.27 tff(f95159,plain,( 83.95/12.27 empty_set = intersection(sF8,complement(sF18)) | empty_set = intersection(sF8,complement(sF18)) | (~spl19_13 | ~spl19_95)), 83.95/12.27 inference(resolution,[],[f4904,f47226])). 83.95/12.27 tff(f95315,plain,( 83.95/12.27 spl19_487 | ~spl19_5 | ~spl19_18), 83.95/12.27 inference(avatar_split_clause,[],[f95213,f158,f106,f95313])). 83.95/12.27 tff(f95213,plain,( 83.95/12.27 empty_set = intersection(sF9,complement(sF18)) | (~spl19_5 | ~spl19_18)), 83.95/12.27 inference(duplicate_literal_removal,[],[f95160])). 83.95/12.27 tff(f95160,plain,( 83.95/12.27 empty_set = intersection(sF9,complement(sF18)) | empty_set = intersection(sF9,complement(sF18)) | (~spl19_5 | ~spl19_18)), 83.95/12.27 inference(resolution,[],[f4904,f4921])). 83.95/12.27 tff(f95310,plain,( 83.95/12.27 spl19_486 | ~spl19_5 | ~spl19_13), 83.95/12.27 inference(avatar_split_clause,[],[f95206,f138,f106,f95308])). 83.95/12.27 tff(f95206,plain,( 83.95/12.27 empty_set = intersection(sF8,complement(sK5)) | (~spl19_5 | ~spl19_13)), 83.95/12.27 inference(duplicate_literal_removal,[],[f95154])). 83.95/12.27 tff(f95154,plain,( 83.95/12.27 empty_set = intersection(sF8,complement(sK5)) | empty_set = intersection(sF8,complement(sK5)) | (~spl19_5 | ~spl19_13)), 83.95/12.27 inference(resolution,[],[f4904,f47224])). 83.95/12.27 tff(f94235,plain,( 83.95/12.27 spl19_240 | spl19_232 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_485), 83.95/12.27 inference(avatar_split_clause,[],[f94056,f94044,f1281,f264,f118,f98,f54660,f54847])). 83.95/12.27 tff(f54847,plain,( 83.95/12.27 spl19_240 <=> member(sK1,complement(sK5))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_240])])). 83.95/12.27 tff(f94056,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK1,complement(sK5)) | member(X0,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_485)), 83.95/12.27 inference(superposition,[],[f54643,f94045])). 83.95/12.27 tff(f94046,plain,( 83.95/12.27 spl19_485 | ~spl19_5 | ~spl19_13), 83.95/12.27 inference(avatar_split_clause,[],[f93984,f138,f106,f94044])). 83.95/12.27 tff(f93984,plain,( 83.95/12.27 empty_set = intersection(complement(sK5),sF8) | (~spl19_5 | ~spl19_13)), 83.95/12.27 inference(duplicate_literal_removal,[],[f93932])). 83.95/12.27 tff(f93932,plain,( 83.95/12.27 empty_set = intersection(complement(sK5),sF8) | empty_set = intersection(complement(sK5),sF8) | (~spl19_5 | ~spl19_13)), 83.95/12.27 inference(resolution,[],[f4848,f52440])). 83.95/12.27 tff(f92205,plain,( 83.95/12.27 spl19_251 | spl19_232 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_480), 83.95/12.27 inference(avatar_split_clause,[],[f91254,f91238,f1281,f264,f118,f98,f54660,f54938])). 83.95/12.27 tff(f54938,plain,( 83.95/12.27 spl19_251 <=> member(sK1,complement(sF18))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_251])])). 83.95/12.27 tff(f91254,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK1,complement(sF18)) | member(X0,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_480)), 83.95/12.27 inference(superposition,[],[f54643,f91239])). 83.95/12.27 tff(f91239,plain,( 83.95/12.27 empty_set = intersection(complement(sF18),sF8) | ~spl19_480), 83.95/12.27 inference(avatar_component_clause,[],[f91238])). 83.95/12.27 tff(f91943,plain,( 83.95/12.27 spl19_484 | ~spl19_98 | ~spl19_480), 83.95/12.27 inference(avatar_split_clause,[],[f91332,f91238,f6758,f91941])). 83.95/12.27 tff(f91941,plain,( 83.95/12.27 spl19_484 <=> $sum(1,cardinality(complement(sF18))) = cardinality(union(complement(sF18),sF8))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_484])])). 83.95/12.27 tff(f91332,plain,( 83.95/12.27 $sum(1,cardinality(complement(sF18))) = cardinality(union(complement(sF18),sF8)) | (~spl19_98 | ~spl19_480)), 83.95/12.27 inference(forward_demodulation,[],[f91331,f15])). 83.95/12.27 tff(f91331,plain,( 83.95/12.27 $sum(cardinality(complement(sF18)),1) = cardinality(union(complement(sF18),sF8)) | (~spl19_98 | ~spl19_480)), 83.95/12.27 inference(forward_demodulation,[],[f91300,f6759])). 83.95/12.27 tff(f91300,plain,( 83.95/12.27 cardinality(union(complement(sF18),sF8)) = $sum(cardinality(complement(sF18)),cardinality(sF8)) | ~spl19_480), 83.95/12.27 inference(trivial_inequality_removal,[],[f91263])). 83.95/12.27 tff(f91263,plain,( 83.95/12.27 empty_set != empty_set | cardinality(union(complement(sF18),sF8)) = $sum(cardinality(complement(sF18)),cardinality(sF8)) | ~spl19_480), 83.95/12.27 inference(superposition,[],[f73,f91239])). 83.95/12.27 tff(f91733,plain,( 83.95/12.27 spl19_344 | ~spl19_483 | ~spl19_481), 83.95/12.27 inference(avatar_split_clause,[],[f91509,f91242,f91731,f65843])). 83.95/12.27 tff(f65843,plain,( 83.95/12.27 spl19_344 <=> empty_set = complement(sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_344])])). 83.95/12.27 tff(f91731,plain,( 83.95/12.27 spl19_483 <=> member(sK0(complement(sF18)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_483])])). 83.95/12.27 tff(f91509,plain,( 83.95/12.27 ~member(sK0(complement(sF18)),sF9) | empty_set = complement(sF18) | ~spl19_481), 83.95/12.27 inference(resolution,[],[f91415,f59])). 83.95/12.27 tff(f91415,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,complement(sF18)) | ~member(X0,sF9)) ) | ~spl19_481), 83.95/12.27 inference(subsumption_resolution,[],[f91340,f162])). 83.95/12.27 tff(f91340,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,empty_set) | ~member(X0,complement(sF18))) ) | ~spl19_481), 83.95/12.27 inference(superposition,[],[f46,f91243])). 83.95/12.27 tff(f91683,plain,( 83.95/12.27 ~spl19_482 | spl19_344 | ~spl19_480), 83.95/12.27 inference(avatar_split_clause,[],[f91418,f91238,f65843,f91681])). 83.95/12.27 tff(f91681,plain,( 83.95/12.27 spl19_482 <=> member(sK0(complement(sF18)),sF8)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_482])])). 83.95/12.27 tff(f91418,plain,( 83.95/12.27 empty_set = complement(sF18) | ~member(sK0(complement(sF18)),sF8) | ~spl19_480), 83.95/12.27 inference(resolution,[],[f91315,f59])). 83.95/12.27 tff(f91315,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,complement(sF18)) | ~member(X0,sF8)) ) | ~spl19_480), 83.95/12.27 inference(subsumption_resolution,[],[f91260,f162])). 83.95/12.27 tff(f91260,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF8) | ~member(X0,complement(sF18))) ) | ~spl19_480), 83.95/12.27 inference(superposition,[],[f46,f91239])). 83.95/12.27 tff(f91244,plain,( 83.95/12.27 spl19_481 | ~spl19_5 | ~spl19_316), 83.95/12.27 inference(avatar_split_clause,[],[f91232,f59051,f106,f91242])). 83.95/12.27 tff(f91232,plain,( 83.95/12.27 empty_set = intersection(complement(sF18),sF9) | (~spl19_5 | ~spl19_316)), 83.95/12.27 inference(duplicate_literal_removal,[],[f91224])). 83.95/12.27 tff(f91224,plain,( 83.95/12.27 empty_set = intersection(complement(sF18),sF9) | empty_set = intersection(complement(sF18),sF9) | (~spl19_5 | ~spl19_316)), 83.95/12.27 inference(resolution,[],[f61491,f4910])). 83.95/12.27 tff(f61491,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(intersection(complement(sF18),X0)),sK5) | empty_set = intersection(complement(sF18),X0)) ) | ~spl19_316), 83.95/12.27 inference(resolution,[],[f61053,f233])). 83.95/12.27 tff(f91240,plain,( 83.95/12.27 spl19_480 | ~spl19_5 | ~spl19_13 | ~spl19_316), 83.95/12.27 inference(avatar_split_clause,[],[f91231,f59051,f138,f106,f91238])). 83.95/12.27 tff(f91231,plain,( 83.95/12.27 empty_set = intersection(complement(sF18),sF8) | (~spl19_5 | ~spl19_13 | ~spl19_316)), 83.95/12.27 inference(duplicate_literal_removal,[],[f91225])). 83.95/12.27 tff(f91225,plain,( 83.95/12.27 empty_set = intersection(complement(sF18),sF8) | empty_set = intersection(complement(sF18),sF8) | (~spl19_5 | ~spl19_13 | ~spl19_316)), 83.95/12.27 inference(resolution,[],[f61491,f52440])). 83.95/12.27 tff(f91118,plain,( 83.95/12.27 spl19_479 | ~spl19_475), 83.95/12.27 inference(avatar_split_clause,[],[f90779,f90567,f91116])). 83.95/12.27 tff(f90567,plain,( 83.95/12.27 spl19_475 <=> $sum(cardinality(sK5),cardinality(complement(sK2))) = cardinality(union(sK5,complement(sK2)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_475])])). 83.95/12.27 tff(f90779,plain,( 83.95/12.27 $sum(cardinality(complement(sK2)),cardinality(sK5)) = cardinality(union(sK5,complement(sK2))) | ~spl19_475), 83.95/12.27 inference(forward_demodulation,[],[f90743,f340])). 83.95/12.27 tff(f90743,plain,( 83.95/12.27 ( ! [X0 : $int] : ($sum(cardinality(complement(sK2)),cardinality(sK5)) = $sum(X0,$sum($uminus(X0),cardinality(union(sK5,complement(sK2)))))) ) | ~spl19_475), 83.95/12.27 inference(superposition,[],[f5877,f90568])). 83.95/12.27 tff(f90568,plain,( 83.95/12.27 $sum(cardinality(sK5),cardinality(complement(sK2))) = cardinality(union(sK5,complement(sK2))) | ~spl19_475), 83.95/12.27 inference(avatar_component_clause,[],[f90567])). 83.95/12.27 tff(f90631,plain,( 83.95/12.27 spl19_478 | ~spl19_57 | ~spl19_9 | ~spl19_472), 83.95/12.27 inference(avatar_split_clause,[],[f89434,f89430,f122,f682,f90629])). 83.95/12.27 tff(f89434,plain,( 83.95/12.27 empty_set != sF11 | cardinality(complement(sK2)) = cardinality(union(sF11,complement(sK2))) | (~spl19_9 | ~spl19_472)), 83.95/12.27 inference(superposition,[],[f363,f89431])). 83.95/12.27 tff(f90626,plain,( 83.95/12.27 ~spl19_55 | spl19_477 | ~spl19_8 | ~spl19_469), 83.95/12.27 inference(avatar_split_clause,[],[f89262,f89182,f118,f90624,f607])). 83.95/12.27 tff(f89262,plain,( 83.95/12.27 empty_set != sF8 | cardinality(complement(sK2)) = cardinality(union(sF8,complement(sK2))) | (~spl19_8 | ~spl19_469)), 83.95/12.27 inference(superposition,[],[f362,f89183])). 83.95/12.27 tff(f90574,plain,( 83.95/12.27 spl19_476 | ~spl19_463 | ~spl19_468), 83.95/12.27 inference(avatar_split_clause,[],[f90565,f89178,f87234,f90572])). 83.95/12.27 tff(f87234,plain,( 83.95/12.27 spl19_463 <=> cardinality(union(complement(sK2),sK5)) = $sum(cardinality(sK5),cardinality(complement(sK2)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_463])])). 83.95/12.27 tff(f90565,plain,( 83.95/12.27 cardinality(union(complement(sK2),sK5)) = cardinality(union(sK5,complement(sK2))) | (~spl19_463 | ~spl19_468)), 83.95/12.27 inference(backward_demodulation,[],[f87235,f89225])). 83.95/12.27 tff(f89225,plain,( 83.95/12.27 $sum(cardinality(sK5),cardinality(complement(sK2))) = cardinality(union(sK5,complement(sK2))) | ~spl19_468), 83.95/12.27 inference(trivial_inequality_removal,[],[f89190])). 83.95/12.27 tff(f89190,plain,( 83.95/12.27 empty_set != empty_set | $sum(cardinality(sK5),cardinality(complement(sK2))) = cardinality(union(sK5,complement(sK2))) | ~spl19_468), 83.95/12.27 inference(superposition,[],[f73,f89179])). 83.95/12.27 tff(f89179,plain,( 83.95/12.27 empty_set = intersection(sK5,complement(sK2)) | ~spl19_468), 83.95/12.27 inference(avatar_component_clause,[],[f89178])). 83.95/12.27 tff(f87235,plain,( 83.95/12.27 cardinality(union(complement(sK2),sK5)) = $sum(cardinality(sK5),cardinality(complement(sK2))) | ~spl19_463), 83.95/12.27 inference(avatar_component_clause,[],[f87234])). 83.95/12.27 tff(f90569,plain,( 83.95/12.27 spl19_475 | ~spl19_468), 83.95/12.27 inference(avatar_split_clause,[],[f89225,f89178,f90567])). 83.95/12.27 tff(f90199,plain,( 83.95/12.27 spl19_474 | ~spl19_97 | ~spl19_472), 83.95/12.27 inference(avatar_split_clause,[],[f89513,f89430,f6753,f90196])). 83.95/12.27 tff(f90196,plain,( 83.95/12.27 spl19_474 <=> $sum(1,cardinality(complement(sK2))) = cardinality(union(sF11,complement(sK2)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_474])])). 83.95/12.27 tff(f89513,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK2))) = cardinality(union(sF11,complement(sK2))) | (~spl19_97 | ~spl19_472)), 83.95/12.27 inference(forward_demodulation,[],[f89485,f6754])). 83.95/12.27 tff(f89485,plain,( 83.95/12.27 $sum(cardinality(sF11),cardinality(complement(sK2))) = cardinality(union(sF11,complement(sK2))) | ~spl19_472), 83.95/12.27 inference(trivial_inequality_removal,[],[f89449])). 83.95/12.27 tff(f89449,plain,( 83.95/12.27 $sum(cardinality(sF11),cardinality(complement(sK2))) = cardinality(union(sF11,complement(sK2))) | empty_set != empty_set | ~spl19_472), 83.95/12.27 inference(superposition,[],[f73,f89431])). 83.95/12.27 tff(f90198,plain,( 83.95/12.27 spl19_474 | ~spl19_9 | ~spl19_472), 83.95/12.27 inference(avatar_split_clause,[],[f89484,f89430,f122,f90196])). 83.95/12.27 tff(f89484,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK2))) = cardinality(union(sF11,complement(sK2))) | (~spl19_9 | ~spl19_472)), 83.95/12.27 inference(trivial_inequality_removal,[],[f89435])). 83.95/12.27 tff(f89435,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK2))) = cardinality(union(sF11,complement(sK2))) | empty_set != empty_set | (~spl19_9 | ~spl19_472)), 83.95/12.27 inference(superposition,[],[f438,f89431])). 83.95/12.27 tff(f90194,plain,( 83.95/12.27 spl19_473 | ~spl19_99 | ~spl19_471), 83.95/12.27 inference(avatar_split_clause,[],[f89403,f89348,f6762,f90192])). 83.95/12.27 tff(f90192,plain,( 83.95/12.27 spl19_473 <=> $sum(1,cardinality(complement(sK2))) = cardinality(union(sF9,complement(sK2)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_473])])). 83.95/12.27 tff(f89403,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK2))) = cardinality(union(sF9,complement(sK2))) | (~spl19_99 | ~spl19_471)), 83.95/12.27 inference(forward_demodulation,[],[f89393,f6763])). 83.95/12.27 tff(f89393,plain,( 83.95/12.27 $sum(cardinality(sF9),cardinality(complement(sK2))) = cardinality(union(sF9,complement(sK2))) | ~spl19_471), 83.95/12.27 inference(trivial_inequality_removal,[],[f89358])). 83.95/12.27 tff(f89358,plain,( 83.95/12.27 empty_set != empty_set | $sum(cardinality(sF9),cardinality(complement(sK2))) = cardinality(union(sF9,complement(sK2))) | ~spl19_471), 83.95/12.27 inference(superposition,[],[f73,f89349])). 83.95/12.27 tff(f89349,plain,( 83.95/12.27 empty_set = intersection(sF9,complement(sK2)) | ~spl19_471), 83.95/12.27 inference(avatar_component_clause,[],[f89348])). 83.95/12.27 tff(f89524,plain,( 83.95/12.27 spl19_470 | ~spl19_98 | ~spl19_469), 83.95/12.27 inference(avatar_split_clause,[],[f89326,f89182,f6758,f89344])). 83.95/12.27 tff(f89344,plain,( 83.95/12.27 spl19_470 <=> $sum(1,cardinality(complement(sK2))) = cardinality(union(sF8,complement(sK2)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_470])])). 83.95/12.27 tff(f89326,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK2))) = cardinality(union(sF8,complement(sK2))) | (~spl19_98 | ~spl19_469)), 83.95/12.27 inference(forward_demodulation,[],[f89308,f6759])). 83.95/12.27 tff(f89308,plain,( 83.95/12.27 $sum(cardinality(sF8),cardinality(complement(sK2))) = cardinality(union(sF8,complement(sK2))) | ~spl19_469), 83.95/12.27 inference(trivial_inequality_removal,[],[f89273])). 83.95/12.27 tff(f89273,plain,( 83.95/12.27 $sum(cardinality(sF8),cardinality(complement(sK2))) = cardinality(union(sF8,complement(sK2))) | empty_set != empty_set | ~spl19_469), 83.95/12.27 inference(superposition,[],[f73,f89183])). 83.95/12.27 tff(f89432,plain,( 83.95/12.27 spl19_472 | ~spl19_9 | ~spl19_45 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f89175,f58997,f513,f122,f89430])). 83.95/12.27 tff(f89175,plain,( 83.95/12.27 empty_set = intersection(sF11,complement(sK2)) | (~spl19_9 | ~spl19_45 | ~spl19_315)), 83.95/12.27 inference(subsumption_resolution,[],[f89170,f514])). 83.95/12.27 tff(f89170,plain,( 83.95/12.27 ~member(sK6,sF18) | empty_set = intersection(sF11,complement(sK2)) | (~spl19_9 | ~spl19_315)), 83.95/12.27 inference(duplicate_literal_removal,[],[f89167])). 83.95/12.27 tff(f89167,plain,( 83.95/12.27 ~member(sK6,sF18) | empty_set = intersection(sF11,complement(sK2)) | empty_set = intersection(sF11,complement(sK2)) | (~spl19_9 | ~spl19_315)), 83.95/12.27 inference(superposition,[],[f60051,f4857])). 83.95/12.27 tff(f60051,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(intersection(X0,complement(sK2))),sF18) | empty_set = intersection(X0,complement(sK2))) ) | ~spl19_315), 83.95/12.27 inference(resolution,[],[f59852,f234])). 83.95/12.27 tff(f89350,plain,( 83.95/12.27 spl19_471 | ~spl19_5 | ~spl19_18 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f89173,f58997,f158,f106,f89348])). 83.95/12.27 tff(f89173,plain,( 83.95/12.27 empty_set = intersection(sF9,complement(sK2)) | (~spl19_5 | ~spl19_18 | ~spl19_315)), 83.95/12.27 inference(duplicate_literal_removal,[],[f89163])). 83.95/12.27 tff(f89163,plain,( 83.95/12.27 empty_set = intersection(sF9,complement(sK2)) | empty_set = intersection(sF9,complement(sK2)) | (~spl19_5 | ~spl19_18 | ~spl19_315)), 83.95/12.27 inference(resolution,[],[f60051,f4921])). 83.95/12.27 tff(f89346,plain,( 83.95/12.27 spl19_470 | ~spl19_8 | ~spl19_469), 83.95/12.27 inference(avatar_split_clause,[],[f89309,f89182,f118,f89344])). 83.95/12.27 tff(f89309,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK2))) = cardinality(union(sF8,complement(sK2))) | (~spl19_8 | ~spl19_469)), 83.95/12.27 inference(trivial_inequality_removal,[],[f89263])). 83.95/12.27 tff(f89263,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK2))) = cardinality(union(sF8,complement(sK2))) | empty_set != empty_set | (~spl19_8 | ~spl19_469)), 83.95/12.27 inference(superposition,[],[f437,f89183])). 83.95/12.27 tff(f89184,plain,( 83.95/12.27 spl19_469 | ~spl19_13 | ~spl19_95 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f89168,f58997,f5373,f138,f89182])). 83.95/12.27 tff(f89168,plain,( 83.95/12.27 empty_set = intersection(sF8,complement(sK2)) | (~spl19_13 | ~spl19_95 | ~spl19_315)), 83.95/12.27 inference(duplicate_literal_removal,[],[f89162])). 83.95/12.27 tff(f89162,plain,( 83.95/12.27 empty_set = intersection(sF8,complement(sK2)) | empty_set = intersection(sF8,complement(sK2)) | (~spl19_13 | ~spl19_95 | ~spl19_315)), 83.95/12.27 inference(resolution,[],[f60051,f47226])). 83.95/12.27 tff(f89180,plain,( 83.95/12.27 spl19_468 | ~spl19_18 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f89174,f58997,f158,f89178])). 83.95/12.27 tff(f89174,plain,( 83.95/12.27 empty_set = intersection(sK5,complement(sK2)) | (~spl19_18 | ~spl19_315)), 83.95/12.27 inference(duplicate_literal_removal,[],[f89161])). 83.95/12.27 tff(f89161,plain,( 83.95/12.27 empty_set = intersection(sK5,complement(sK2)) | empty_set = intersection(sK5,complement(sK2)) | (~spl19_18 | ~spl19_315)), 83.95/12.27 inference(resolution,[],[f60051,f4849])). 83.95/12.27 tff(f88675,plain,( 83.95/12.27 ~spl19_466 | spl19_467 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f60050,f58997,f88673,f88670])). 83.95/12.27 tff(f88670,plain,( 83.95/12.27 spl19_466 <=> member(sK0(complement(complement(complement(sK2)))),sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_466])])). 83.95/12.27 tff(f88673,plain,( 83.95/12.27 spl19_467 <=> empty_set = complement(complement(complement(sK2)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_467])])). 83.95/12.27 tff(f60050,plain,( 83.95/12.27 ~member(sK0(complement(complement(complement(sK2)))),sF18) | empty_set = complement(complement(complement(sK2))) | ~spl19_315), 83.95/12.27 inference(resolution,[],[f59852,f753])). 83.95/12.27 tff(f88020,plain,( 83.95/12.27 ~spl19_465 | ~spl19_462), 83.95/12.27 inference(avatar_split_clause,[],[f87221,f87003,f88018])). 83.95/12.27 tff(f88018,plain,( 83.95/12.27 spl19_465 <=> $less($sum(cardinality(sK5),cardinality(complement(sK2))),cardinality(union(complement(sK2),sK5)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_465])])). 83.95/12.27 tff(f87003,plain,( 83.95/12.27 spl19_462 <=> cardinality(union(complement(sK2),sK5)) = $sum(cardinality(complement(sK2)),cardinality(sK5))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_462])])). 83.95/12.27 tff(f87221,plain,( 83.95/12.27 ~$less($sum(cardinality(sK5),cardinality(complement(sK2))),cardinality(union(complement(sK2),sK5))) | ~spl19_462), 83.95/12.27 inference(superposition,[],[f16250,f87004])). 83.95/12.27 tff(f87004,plain,( 83.95/12.27 cardinality(union(complement(sK2),sK5)) = $sum(cardinality(complement(sK2)),cardinality(sK5)) | ~spl19_462), 83.95/12.27 inference(avatar_component_clause,[],[f87003])). 83.95/12.27 tff(f16250,plain,( 83.95/12.27 ( ! [X0 : $int,X1 : $int] : (~$less($sum(X0,X1),$sum(X1,X0))) )), 83.95/12.27 inference(resolution,[],[f5295,f336])). 83.95/12.27 tff(f5295,plain,( 83.95/12.27 ( ! [X0 : $int,X1 : $int] : ($less($sum(X0,X1),$sum(X1,$sum(X0,1)))) )), 83.95/12.27 inference(superposition,[],[f223,f319])). 83.95/12.27 tff(f319,plain,( 83.95/12.27 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X1,X0),X2)) )), 83.95/12.27 inference(superposition,[],[f16,f15])). 83.95/12.27 tff(f88016,plain,( 83.95/12.27 ~spl19_464 | ~spl19_462), 83.95/12.27 inference(avatar_split_clause,[],[f87220,f87003,f88014])). 83.95/12.27 tff(f88014,plain,( 83.95/12.27 spl19_464 <=> $less(cardinality(union(complement(sK2),sK5)),$sum(cardinality(sK5),cardinality(complement(sK2))))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_464])])). 83.95/12.27 tff(f87220,plain,( 83.95/12.27 ~$less(cardinality(union(complement(sK2),sK5)),$sum(cardinality(sK5),cardinality(complement(sK2)))) | ~spl19_462), 83.95/12.27 inference(superposition,[],[f16250,f87004])). 83.95/12.27 tff(f87236,plain,( 83.95/12.27 spl19_463 | ~spl19_462), 83.95/12.27 inference(avatar_split_clause,[],[f87135,f87003,f87234])). 83.95/12.27 tff(f87135,plain,( 83.95/12.27 cardinality(union(complement(sK2),sK5)) = $sum(cardinality(sK5),cardinality(complement(sK2))) | ~spl19_462), 83.95/12.27 inference(superposition,[],[f87004,f15])). 83.95/12.27 tff(f87005,plain,( 83.95/12.27 spl19_462 | ~spl19_448), 83.95/12.27 inference(avatar_split_clause,[],[f82225,f82074,f87003])). 83.95/12.27 tff(f82225,plain,( 83.95/12.27 cardinality(union(complement(sK2),sK5)) = $sum(cardinality(complement(sK2)),cardinality(sK5)) | ~spl19_448), 83.95/12.27 inference(trivial_inequality_removal,[],[f82196])). 83.95/12.27 tff(f82196,plain,( 83.95/12.27 empty_set != empty_set | cardinality(union(complement(sK2),sK5)) = $sum(cardinality(complement(sK2)),cardinality(sK5)) | ~spl19_448), 83.95/12.27 inference(superposition,[],[f73,f82075])). 83.95/12.27 tff(f85984,plain,( 83.95/12.27 spl19_461 | ~spl19_97 | ~spl19_451), 83.95/12.27 inference(avatar_split_clause,[],[f83574,f82978,f6753,f85982])). 83.95/12.27 tff(f85982,plain,( 83.95/12.27 spl19_461 <=> $sum(1,cardinality(complement(sK2))) = cardinality(union(complement(sK2),sF11))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_461])])). 83.95/12.27 tff(f83574,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK2))) = cardinality(union(complement(sK2),sF11)) | (~spl19_97 | ~spl19_451)), 83.95/12.27 inference(forward_demodulation,[],[f83573,f15])). 83.95/12.27 tff(f83573,plain,( 83.95/12.27 $sum(cardinality(complement(sK2)),1) = cardinality(union(complement(sK2),sF11)) | (~spl19_97 | ~spl19_451)), 83.95/12.27 inference(forward_demodulation,[],[f83552,f6754])). 83.95/12.27 tff(f83552,plain,( 83.95/12.27 cardinality(union(complement(sK2),sF11)) = $sum(cardinality(complement(sK2)),cardinality(sF11)) | ~spl19_451), 83.95/12.27 inference(trivial_inequality_removal,[],[f83523])). 83.95/12.27 tff(f83523,plain,( 83.95/12.27 cardinality(union(complement(sK2),sF11)) = $sum(cardinality(complement(sK2)),cardinality(sF11)) | empty_set != empty_set | ~spl19_451), 83.95/12.27 inference(superposition,[],[f73,f82979])). 83.95/12.27 tff(f85922,plain,( 83.95/12.27 spl19_460 | ~spl19_99 | ~spl19_450), 83.95/12.27 inference(avatar_split_clause,[],[f82538,f82082,f6762,f85920])). 83.95/12.27 tff(f85920,plain,( 83.95/12.27 spl19_460 <=> $sum(1,cardinality(complement(sK2))) = cardinality(union(complement(sK2),sF9))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_460])])). 83.95/12.27 tff(f82538,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK2))) = cardinality(union(complement(sK2),sF9)) | (~spl19_99 | ~spl19_450)), 83.95/12.27 inference(forward_demodulation,[],[f82537,f15])). 83.95/12.27 tff(f82537,plain,( 83.95/12.27 $sum(cardinality(complement(sK2)),1) = cardinality(union(complement(sK2),sF9)) | (~spl19_99 | ~spl19_450)), 83.95/12.27 inference(forward_demodulation,[],[f82530,f6763])). 83.95/12.27 tff(f82530,plain,( 83.95/12.27 cardinality(union(complement(sK2),sF9)) = $sum(cardinality(complement(sK2)),cardinality(sF9)) | ~spl19_450), 83.95/12.27 inference(trivial_inequality_removal,[],[f82501])). 83.95/12.27 tff(f82501,plain,( 83.95/12.27 cardinality(union(complement(sK2),sF9)) = $sum(cardinality(complement(sK2)),cardinality(sF9)) | empty_set != empty_set | ~spl19_450), 83.95/12.27 inference(superposition,[],[f73,f82083])). 83.95/12.27 tff(f82083,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF9) | ~spl19_450), 83.95/12.27 inference(avatar_component_clause,[],[f82082])). 83.95/12.27 tff(f85918,plain,( 83.95/12.27 spl19_459 | ~spl19_98 | ~spl19_449), 83.95/12.27 inference(avatar_split_clause,[],[f82480,f82078,f6758,f85916])). 83.95/12.27 tff(f85916,plain,( 83.95/12.27 spl19_459 <=> $sum(1,cardinality(complement(sK2))) = cardinality(union(complement(sK2),sF8))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_459])])). 83.95/12.27 tff(f82480,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK2))) = cardinality(union(complement(sK2),sF8)) | (~spl19_98 | ~spl19_449)), 83.95/12.27 inference(forward_demodulation,[],[f82479,f15])). 83.95/12.27 tff(f82479,plain,( 83.95/12.27 $sum(cardinality(complement(sK2)),1) = cardinality(union(complement(sK2),sF8)) | (~spl19_98 | ~spl19_449)), 83.95/12.27 inference(forward_demodulation,[],[f82464,f6759])). 83.95/12.27 tff(f82464,plain,( 83.95/12.27 cardinality(union(complement(sK2),sF8)) = $sum(cardinality(complement(sK2)),cardinality(sF8)) | ~spl19_449), 83.95/12.27 inference(trivial_inequality_removal,[],[f82435])). 83.95/12.27 tff(f82435,plain,( 83.95/12.27 cardinality(union(complement(sK2),sF8)) = $sum(cardinality(complement(sK2)),cardinality(sF8)) | empty_set != empty_set | ~spl19_449), 83.95/12.27 inference(superposition,[],[f73,f82079])). 83.95/12.27 tff(f85272,plain,( 83.95/12.27 spl19_343 | ~spl19_458 | ~spl19_451), 83.95/12.27 inference(avatar_split_clause,[],[f83996,f82978,f85270,f65839])). 83.95/12.27 tff(f85270,plain,( 83.95/12.27 spl19_458 <=> member(sK0(complement(sK2)),sF11)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_458])])). 83.95/12.27 tff(f83996,plain,( 83.95/12.27 ~member(sK0(complement(sK2)),sF11) | empty_set = complement(sK2) | ~spl19_451), 83.95/12.27 inference(resolution,[],[f83581,f59])). 83.95/12.27 tff(f83581,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,complement(sK2)) | ~member(X0,sF11)) ) | ~spl19_451), 83.95/12.27 inference(subsumption_resolution,[],[f83520,f162])). 83.95/12.27 tff(f83520,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sF11) | ~member(X0,complement(sK2)) | member(X0,empty_set)) ) | ~spl19_451), 83.95/12.27 inference(superposition,[],[f46,f82979])). 83.95/12.27 tff(f85045,plain,( 83.95/12.27 spl19_343 | ~spl19_457 | ~spl19_450), 83.95/12.27 inference(avatar_split_clause,[],[f83745,f82082,f85043,f65839])). 83.95/12.27 tff(f85043,plain,( 83.95/12.27 spl19_457 <=> member(sK0(complement(sK2)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_457])])). 83.95/12.27 tff(f83745,plain,( 83.95/12.27 empty_set = complement(sK2) | ~member(sK0(complement(sK2)),sF9) | ~spl19_450), 83.95/12.27 inference(resolution,[],[f82533,f59])). 83.95/12.27 tff(f82533,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,complement(sK2)) | ~member(X0,sF9)) ) | ~spl19_450), 83.95/12.27 inference(subsumption_resolution,[],[f82498,f162])). 83.95/12.27 tff(f82498,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF9) | ~member(X0,complement(sK2))) ) | ~spl19_450), 83.95/12.27 inference(superposition,[],[f46,f82083])). 83.95/12.27 tff(f85041,plain,( 83.95/12.27 ~spl19_456 | spl19_343 | ~spl19_449), 83.95/12.27 inference(avatar_split_clause,[],[f83708,f82078,f65839,f85039])). 83.95/12.27 tff(f85039,plain,( 83.95/12.27 spl19_456 <=> member(sK0(complement(sK2)),sF8)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_456])])). 83.95/12.27 tff(f83708,plain,( 83.95/12.27 empty_set = complement(sK2) | ~member(sK0(complement(sK2)),sF8) | ~spl19_449), 83.95/12.27 inference(resolution,[],[f82488,f59])). 83.95/12.27 tff(f82488,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,complement(sK2)) | ~member(X0,sF8)) ) | ~spl19_449), 83.95/12.27 inference(subsumption_resolution,[],[f82432,f162])). 83.95/12.27 tff(f82432,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sF8) | member(X0,empty_set) | ~member(X0,complement(sK2))) ) | ~spl19_449), 83.95/12.27 inference(superposition,[],[f46,f82079])). 83.95/12.27 tff(f84848,plain,( 83.95/12.27 ~spl19_455 | spl19_343 | ~spl19_448), 83.95/12.27 inference(avatar_split_clause,[],[f82941,f82074,f65839,f84846])). 83.95/12.27 tff(f84846,plain,( 83.95/12.27 spl19_455 <=> member(sK0(complement(sK2)),sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_455])])). 83.95/12.27 tff(f82941,plain,( 83.95/12.27 ~member(sK0(complement(sK2)),sK5) | empty_set = complement(sK2) | ~spl19_448), 83.95/12.27 inference(resolution,[],[f82251,f59])). 83.95/12.27 tff(f82251,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,complement(sK2)) | ~member(X0,sK5)) ) | ~spl19_448), 83.95/12.27 inference(subsumption_resolution,[],[f82193,f162])). 83.95/12.27 tff(f82193,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sK5) | member(X0,empty_set) | ~member(X0,complement(sK2))) ) | ~spl19_448), 83.95/12.27 inference(superposition,[],[f46,f82075])). 83.95/12.27 tff(f84086,plain,( 83.95/12.27 ~spl19_147 | spl19_454 | ~spl19_10 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f82065,f58997,f126,f84084,f52209])). 83.95/12.27 tff(f84084,plain,( 83.95/12.27 spl19_454 <=> empty_set = intersection(complement(sK2),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_454])])). 83.95/12.27 tff(f82065,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF13) | ~member(sK7,sF18) | (~spl19_10 | ~spl19_315)), 83.95/12.27 inference(duplicate_literal_removal,[],[f82063])). 83.95/12.27 tff(f82063,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF13) | empty_set = intersection(complement(sK2),sF13) | ~member(sK7,sF18) | (~spl19_10 | ~spl19_315)), 83.95/12.27 inference(superposition,[],[f60042,f4917])). 83.95/12.27 tff(f60042,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(intersection(complement(sK2),X0)),sF18) | empty_set = intersection(complement(sK2),X0)) ) | ~spl19_315), 83.95/12.27 inference(resolution,[],[f59852,f233])). 83.95/12.27 tff(f84035,plain,( 83.95/12.27 spl19_232 | spl19_453 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_451), 83.95/12.27 inference(avatar_split_clause,[],[f83516,f82978,f1281,f264,f122,f98,f84033,f54660])). 83.95/12.27 tff(f83516,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(empty_set)) | member(sK6,complement(sK2))) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_451)), 83.95/12.27 inference(superposition,[],[f55232,f82979])). 83.95/12.27 tff(f83424,plain,( 83.95/12.27 spl19_452 | spl19_232 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_449), 83.95/12.27 inference(avatar_split_clause,[],[f82428,f82078,f1281,f264,f118,f98,f54660,f83422])). 83.95/12.27 tff(f82428,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(empty_set)) | member(sK1,complement(sK2))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_449)), 83.95/12.27 inference(superposition,[],[f54643,f82079])). 83.95/12.27 tff(f82980,plain,( 83.95/12.27 spl19_451 | ~spl19_9 | ~spl19_45 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f82072,f58997,f513,f122,f82978])). 83.95/12.27 tff(f82072,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF11) | (~spl19_9 | ~spl19_45 | ~spl19_315)), 83.95/12.27 inference(subsumption_resolution,[],[f82064,f514])). 83.95/12.27 tff(f82064,plain,( 83.95/12.27 ~member(sK6,sF18) | empty_set = intersection(complement(sK2),sF11) | (~spl19_9 | ~spl19_315)), 83.95/12.27 inference(duplicate_literal_removal,[],[f82062])). 83.95/12.27 tff(f82062,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF11) | ~member(sK6,sF18) | empty_set = intersection(complement(sK2),sF11) | (~spl19_9 | ~spl19_315)), 83.95/12.27 inference(superposition,[],[f60042,f4913])). 83.95/12.27 tff(f82084,plain,( 83.95/12.27 spl19_450 | ~spl19_5 | ~spl19_18 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f82067,f58997,f158,f106,f82082])). 83.95/12.27 tff(f82067,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF9) | (~spl19_5 | ~spl19_18 | ~spl19_315)), 83.95/12.27 inference(duplicate_literal_removal,[],[f82057])). 83.95/12.27 tff(f82057,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF9) | empty_set = intersection(complement(sK2),sF9) | (~spl19_5 | ~spl19_18 | ~spl19_315)), 83.95/12.27 inference(resolution,[],[f60042,f4951])). 83.95/12.27 tff(f82080,plain,( 83.95/12.27 spl19_449 | ~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f82066,f58997,f158,f138,f106,f82078])). 83.95/12.27 tff(f82066,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF8) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_315)), 83.95/12.27 inference(duplicate_literal_removal,[],[f82059])). 83.95/12.27 tff(f82059,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF8) | empty_set = intersection(complement(sK2),sF8) | (~spl19_5 | ~spl19_13 | ~spl19_18 | ~spl19_315)), 83.95/12.27 inference(resolution,[],[f60042,f66510])). 83.95/12.27 tff(f82076,plain,( 83.95/12.27 spl19_448 | ~spl19_18 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f82069,f58997,f158,f82074])). 83.95/12.27 tff(f82069,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sK5) | (~spl19_18 | ~spl19_315)), 83.95/12.27 inference(duplicate_literal_removal,[],[f82058])). 83.95/12.27 tff(f82058,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sK5) | empty_set = intersection(complement(sK2),sK5) | (~spl19_18 | ~spl19_315)), 83.95/12.27 inference(resolution,[],[f60042,f4905])). 83.95/12.27 tff(f81761,plain,( 83.95/12.27 spl19_447 | spl19_232 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f81250,f1281,f264,f118,f98,f54660,f81759])). 83.95/12.27 tff(f81759,plain,( 83.95/12.27 spl19_447 <=> ! [X0 : element] : member(sK1,singleton(X0))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_447])])). 83.95/12.27 tff(f81250,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (member(X1,complement(empty_set)) | member(sK1,singleton(X0))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f81195,f51])). 83.95/12.27 tff(f81195,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (member(sK1,singleton(X0)) | member(X1,complement(empty_set)) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54643,f76360])). 83.95/12.27 tff(f76360,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF8) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f76306,f59])). 83.95/12.27 tff(f76306,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (~member(X1,intersection(singleton(X0),sF8)) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f76293,f162])). 83.95/12.27 tff(f76293,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (member(X1,empty_set) | ~member(X1,intersection(singleton(X0),sF8)) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f59034])). 83.95/12.27 tff(f81757,plain,( 83.95/12.27 spl19_276 | spl19_154 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f81188,f1281,f264,f122,f118,f98,f52454,f55678])). 83.95/12.27 tff(f52454,plain,( 83.95/12.27 spl19_154 <=> empty_set = intersection(sF11,sF8)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_154])])). 83.95/12.27 tff(f81188,plain,( 83.95/12.27 sK1 = sK6 | empty_set = intersection(sF11,sF8) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76360,f123])). 83.95/12.27 tff(f81589,plain,( 83.95/12.27 spl19_275 | spl19_352 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f81187,f1281,f264,f126,f118,f98,f66625,f55655])). 83.95/12.27 tff(f81187,plain,( 83.95/12.27 sK1 = sK7 | empty_set = intersection(sF13,sF8) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76360,f127])). 83.95/12.27 tff(f81481,plain,( 83.95/12.27 spl19_445 | ~spl19_446 | ~spl19_314), 83.95/12.27 inference(avatar_split_clause,[],[f59755,f58993,f81479,f81476])). 83.95/12.27 tff(f81476,plain,( 83.95/12.27 spl19_445 <=> empty_set = complement(complement(complement(sF12)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_445])])). 83.95/12.27 tff(f81479,plain,( 83.95/12.27 spl19_446 <=> member(sK0(complement(complement(complement(sF12)))),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_446])])). 83.95/12.27 tff(f59755,plain,( 83.95/12.27 empty_set = complement(complement(complement(sF12))) | ~member(sK0(complement(complement(complement(sF12)))),sF9) | ~spl19_314), 83.95/12.27 inference(resolution,[],[f59558,f753])). 83.95/12.27 tff(f80169,plain,( 83.95/12.27 spl19_444 | spl19_232 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f80141,f1281,f264,f122,f98,f54660,f80167])). 83.95/12.27 tff(f80167,plain,( 83.95/12.27 spl19_444 <=> ! [X0 : element] : member(sK6,singleton(X0))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_444])])). 83.95/12.27 tff(f80141,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (member(X1,complement(empty_set)) | member(sK6,singleton(X0))) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f80097,f51])). 83.95/12.27 tff(f80097,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (member(X1,complement(empty_set)) | member(sK6,singleton(X0)) | sK6 = X0) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55232,f76248])). 83.95/12.27 tff(f76248,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF11) | sK6 = X0) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f76229,f59])). 83.95/12.27 tff(f76229,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (~member(X1,intersection(singleton(X0),sF11)) | sK6 = X0) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f76216,f162])). 83.95/12.27 tff(f76216,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (sK6 = X0 | ~member(X1,intersection(singleton(X0),sF11)) | member(X1,empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f59033])). 83.95/12.27 tff(f80165,plain,( 83.95/12.27 spl19_170 | spl19_276 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f80094,f1281,f264,f122,f118,f98,f55678,f53141])). 83.95/12.27 tff(f80094,plain,( 83.95/12.27 sK1 = sK6 | empty_set = intersection(sF8,sF11) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76248,f119])). 83.95/12.27 tff(f80164,plain,( 83.95/12.27 spl19_358 | spl19_280 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f80093,f1281,f264,f126,f122,f98,f56130,f67217])). 83.95/12.27 tff(f67217,plain,( 83.95/12.27 spl19_358 <=> empty_set = intersection(sF13,sF11)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_358])])). 83.95/12.27 tff(f80093,plain,( 83.95/12.27 empty_set = intersection(sF13,sF11) | sK6 = sK7 | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76248,f127])). 83.95/12.27 tff(f79835,plain,( 83.95/12.27 spl19_232 | spl19_443 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f79711,f1281,f264,f126,f98,f79833,f54660])). 83.95/12.27 tff(f79833,plain,( 83.95/12.27 spl19_443 <=> ! [X0 : element] : member(sK7,singleton(X0))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_443])])). 83.95/12.27 tff(f79711,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (member(X1,complement(empty_set)) | member(sK7,singleton(X0))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f79661,f51])). 83.95/12.27 tff(f79661,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (member(X1,complement(empty_set)) | sK7 = X0 | member(sK7,singleton(X0))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55925,f75904])). 83.95/12.27 tff(f75904,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = intersection(singleton(X0),sF13) | sK7 = X0) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f75894,f59])). 83.95/12.27 tff(f75894,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (~member(X1,intersection(singleton(X0),sF13)) | sK7 = X0) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f75881,f162])). 83.95/12.27 tff(f75881,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (sK7 = X0 | ~member(X1,intersection(singleton(X0),sF13)) | member(X1,empty_set)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f59030])). 83.95/12.27 tff(f59030,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(singleton(X0),sF13),empty_set) | sK7 = X0) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59012])). 83.95/12.27 tff(f59012,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = union(intersection(singleton(X0),sF13),empty_set) | empty_set = union(intersection(singleton(X0),sF13),empty_set) | sK7 = X0) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54244,f54225])). 83.95/12.27 tff(f79735,plain,( 83.95/12.27 spl19_280 | spl19_437 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f79655,f1281,f264,f126,f122,f98,f78899,f56130])). 83.95/12.27 tff(f78899,plain,( 83.95/12.27 spl19_437 <=> empty_set = intersection(sF11,sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_437])])). 83.95/12.27 tff(f79655,plain,( 83.95/12.27 empty_set = intersection(sF11,sF13) | sK6 = sK7 | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f75904,f123])). 83.95/12.27 tff(f79734,plain,( 83.95/12.27 spl19_442 | ~spl19_429 | ~spl19_432), 83.95/12.27 inference(avatar_split_clause,[],[f78820,f77343,f77304,f79732])). 83.95/12.27 tff(f79732,plain,( 83.95/12.27 spl19_442 <=> cardinality(union(sF18,complement(sK2))) = $sum(cardinality(complement(sK2)),cardinality(sF18))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_442])])). 83.95/12.27 tff(f77304,plain,( 83.95/12.27 spl19_429 <=> cardinality(union(sF18,complement(sK2))) = $sum(cardinality(sF18),cardinality(complement(sK2)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_429])])). 83.95/12.27 tff(f77343,plain,( 83.95/12.27 spl19_432 <=> cardinality(union(complement(sK2),sF18)) = $sum(cardinality(complement(sK2)),cardinality(sF18))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_432])])). 83.95/12.27 tff(f78820,plain,( 83.95/12.27 cardinality(union(sF18,complement(sK2))) = $sum(cardinality(complement(sK2)),cardinality(sF18)) | (~spl19_429 | ~spl19_432)), 83.95/12.27 inference(backward_demodulation,[],[f77344,f78474])). 83.95/12.27 tff(f78474,plain,( 83.95/12.27 cardinality(union(sF18,complement(sK2))) = cardinality(union(complement(sK2),sF18)) | (~spl19_429 | ~spl19_432)), 83.95/12.27 inference(forward_demodulation,[],[f78391,f77305])). 83.95/12.27 tff(f77305,plain,( 83.95/12.27 cardinality(union(sF18,complement(sK2))) = $sum(cardinality(sF18),cardinality(complement(sK2))) | ~spl19_429), 83.95/12.27 inference(avatar_component_clause,[],[f77304])). 83.95/12.27 tff(f78391,plain,( 83.95/12.27 $sum(cardinality(sF18),cardinality(complement(sK2))) = cardinality(union(complement(sK2),sF18)) | ~spl19_432), 83.95/12.27 inference(superposition,[],[f77344,f15])). 83.95/12.27 tff(f77344,plain,( 83.95/12.27 cardinality(union(complement(sK2),sF18)) = $sum(cardinality(complement(sK2)),cardinality(sF18)) | ~spl19_432), 83.95/12.27 inference(avatar_component_clause,[],[f77343])). 83.95/12.27 tff(f79730,plain,( 83.95/12.27 spl19_173 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f79654,f1281,f264,f126,f118,f98,f55655,f53328])). 83.95/12.27 tff(f53328,plain,( 83.95/12.27 spl19_173 <=> empty_set = intersection(sF8,sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_173])])). 83.95/12.27 tff(f79654,plain,( 83.95/12.27 empty_set = intersection(sF8,sF13) | sK1 = sK7 | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f75904,f119])). 83.95/12.27 tff(f79651,plain,( 83.95/12.27 spl19_441 | ~spl19_430 | ~spl19_431), 83.95/12.27 inference(avatar_split_clause,[],[f78020,f77314,f77310,f79649])). 83.95/12.27 tff(f79649,plain,( 83.95/12.27 spl19_441 <=> cardinality(union(sK5,complement(sF18))) = $sum(cardinality(complement(sF18)),cardinality(sK5))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_441])])). 83.95/12.27 tff(f78020,plain,( 83.95/12.27 cardinality(union(sK5,complement(sF18))) = $sum(cardinality(complement(sF18)),cardinality(sK5)) | (~spl19_430 | ~spl19_431)), 83.95/12.27 inference(backward_demodulation,[],[f77315,f77848])). 83.95/12.27 tff(f77848,plain,( 83.95/12.27 cardinality(union(sK5,complement(sF18))) = cardinality(union(complement(sF18),sK5)) | (~spl19_430 | ~spl19_431)), 83.95/12.27 inference(forward_demodulation,[],[f77764,f77311])). 83.95/12.27 tff(f77764,plain,( 83.95/12.27 $sum(cardinality(sK5),cardinality(complement(sF18))) = cardinality(union(complement(sF18),sK5)) | ~spl19_431), 83.95/12.27 inference(superposition,[],[f77315,f15])). 83.95/12.27 tff(f79435,plain,( 83.95/12.27 ~spl19_440 | ~spl19_429 | ~spl19_432), 83.95/12.27 inference(avatar_split_clause,[],[f78488,f77343,f77304,f79433])). 83.95/12.27 tff(f79433,plain,( 83.95/12.27 spl19_440 <=> $less(cardinality(union(sF18,complement(sK2))),cardinality(union(complement(sK2),sF18)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_440])])). 83.95/12.27 tff(f78488,plain,( 83.95/12.27 ~$less(cardinality(union(sF18,complement(sK2))),cardinality(union(complement(sK2),sF18))) | (~spl19_429 | ~spl19_432)), 83.95/12.27 inference(forward_demodulation,[],[f78467,f77305])). 83.95/12.27 tff(f78467,plain,( 83.95/12.27 ~$less($sum(cardinality(sF18),cardinality(complement(sK2))),cardinality(union(complement(sK2),sF18))) | ~spl19_432), 83.95/12.27 inference(superposition,[],[f16250,f77344])). 83.95/12.27 tff(f79203,plain,( 83.95/12.27 spl19_439 | spl19_53 | ~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f79110,f1281,f264,f150,f122,f98,f567,f79201])). 83.95/12.27 tff(f79201,plain,( 83.95/12.27 spl19_439 <=> empty_set = intersection(sF12,sF11)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_439])])). 83.95/12.27 tff(f79110,plain,( 83.95/12.27 member(sK6,sF14) | empty_set = intersection(sF12,sF11) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f75155,f123])). 83.95/12.27 tff(f75155,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = intersection(sF12,singleton(X0)) | member(X0,sF14)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f74691,f59])). 83.95/12.27 tff(f74691,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (~member(X1,intersection(sF12,singleton(X0))) | member(X0,sF14)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f74678,f162])). 83.95/12.27 tff(f74678,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (~member(X1,intersection(sF12,singleton(X0))) | member(X1,empty_set) | member(X0,sF14)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f57925])). 83.95/12.27 tff(f79175,plain,( 83.95/12.27 ~spl19_438 | ~spl19_429 | ~spl19_432), 83.95/12.27 inference(avatar_split_clause,[],[f78482,f77343,f77304,f79173])). 83.95/12.27 tff(f79173,plain,( 83.95/12.27 spl19_438 <=> $less(cardinality(union(complement(sK2),sF18)),cardinality(union(sF18,complement(sK2))))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_438])])). 83.95/12.27 tff(f78482,plain,( 83.95/12.27 ~$less(cardinality(union(complement(sK2),sF18)),cardinality(union(sF18,complement(sK2)))) | (~spl19_429 | ~spl19_432)), 83.95/12.27 inference(forward_demodulation,[],[f78466,f77305])). 83.95/12.27 tff(f78466,plain,( 83.95/12.27 ~$less(cardinality(union(complement(sK2),sF18)),$sum(cardinality(sF18),cardinality(complement(sK2)))) | ~spl19_432), 83.95/12.27 inference(superposition,[],[f16250,f77344])). 83.95/12.27 tff(f79040,plain,( 83.95/12.27 spl19_154 | spl19_276 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f78828,f1281,f264,f122,f118,f98,f55678,f52454])). 83.95/12.27 tff(f78828,plain,( 83.95/12.27 sK1 = sK6 | empty_set = intersection(sF11,sF8) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f74611,f119])). 83.95/12.27 tff(f74611,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = intersection(sF11,singleton(X0)) | sK6 = X0) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f74264,f59])). 83.95/12.27 tff(f74264,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (~member(X1,intersection(sF11,singleton(X0))) | sK6 = X0) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f74250,f162])). 83.95/12.27 tff(f74250,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (sK6 = X0 | ~member(X1,intersection(sF11,singleton(X0))) | member(X1,empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f57924])). 83.95/12.27 tff(f78901,plain,( 83.95/12.27 spl19_280 | spl19_437 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f78827,f1281,f264,f126,f122,f98,f78899,f56130])). 83.95/12.27 tff(f78827,plain,( 83.95/12.27 empty_set = intersection(sF11,sF13) | sK6 = sK7 | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f74611,f127])). 83.95/12.27 tff(f78824,plain,( 83.95/12.27 spl19_436 | ~spl19_429 | ~spl19_432), 83.95/12.27 inference(avatar_split_clause,[],[f78474,f77343,f77304,f78822])). 83.95/12.27 tff(f78822,plain,( 83.95/12.27 spl19_436 <=> cardinality(union(sF18,complement(sK2))) = cardinality(union(complement(sK2),sF18))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_436])])). 83.95/12.27 tff(f78756,plain,( 83.95/12.27 spl19_170 | spl19_276 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f78684,f1281,f264,f122,f118,f98,f55678,f53141])). 83.95/12.27 tff(f78684,plain,( 83.95/12.27 sK1 = sK6 | empty_set = intersection(sF8,sF11) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f74108,f123])). 83.95/12.27 tff(f74108,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = intersection(sF8,singleton(X0)) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f74069,f59])). 83.95/12.27 tff(f74069,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (~member(X1,intersection(sF8,singleton(X0))) | sK1 = X0) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f74055,f162])). 83.95/12.27 tff(f74055,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (sK1 = X0 | member(X1,empty_set) | ~member(X1,intersection(sF8,singleton(X0)))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f57921])). 83.95/12.27 tff(f78755,plain,( 83.95/12.27 spl19_173 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f78683,f1281,f264,f126,f118,f98,f55655,f53328])). 83.95/12.27 tff(f78683,plain,( 83.95/12.27 sK1 = sK7 | empty_set = intersection(sF8,sF13) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f74108,f127])). 83.95/12.27 tff(f78150,plain,( 83.95/12.27 spl19_358 | spl19_280 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f78028,f1281,f264,f126,f122,f98,f56130,f67217])). 83.95/12.27 tff(f78028,plain,( 83.95/12.27 sK6 = sK7 | empty_set = intersection(sF13,sF11) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f73818,f123])). 83.95/12.27 tff(f73818,plain,( 83.95/12.27 ( ! [X0 : element] : (empty_set = intersection(sF13,singleton(X0)) | sK7 = X0) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f73791,f59])). 83.95/12.27 tff(f73791,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (~member(X1,intersection(sF13,singleton(X0))) | sK7 = X0) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f73777,f162])). 83.95/12.27 tff(f73777,plain,( 83.95/12.27 ( ! [X0 : element,X1 : element] : (member(X1,empty_set) | sK7 = X0 | ~member(X1,intersection(sF13,singleton(X0)))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f57916])). 83.95/12.27 tff(f78099,plain,( 83.95/12.27 ~spl19_435 | ~spl19_430 | ~spl19_431), 83.95/12.27 inference(avatar_split_clause,[],[f77858,f77314,f77310,f78097])). 83.95/12.27 tff(f78097,plain,( 83.95/12.27 spl19_435 <=> $less(cardinality(union(complement(sF18),sK5)),cardinality(union(sK5,complement(sF18))))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_435])])). 83.95/12.27 tff(f77858,plain,( 83.95/12.27 ~$less(cardinality(union(complement(sF18),sK5)),cardinality(union(sK5,complement(sF18)))) | (~spl19_430 | ~spl19_431)), 83.95/12.27 inference(forward_demodulation,[],[f77838,f77311])). 83.95/12.27 tff(f77838,plain,( 83.95/12.27 ~$less(cardinality(union(complement(sF18),sK5)),$sum(cardinality(sK5),cardinality(complement(sF18)))) | ~spl19_431), 83.95/12.27 inference(superposition,[],[f16250,f77315])). 83.95/12.27 tff(f78095,plain,( 83.95/12.27 spl19_352 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f78027,f1281,f264,f126,f118,f98,f55655,f66625])). 83.95/12.27 tff(f78027,plain,( 83.95/12.27 empty_set = intersection(sF13,sF8) | sK1 = sK7 | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f73818,f119])). 83.95/12.27 tff(f78024,plain,( 83.95/12.27 spl19_434 | ~spl19_430 | ~spl19_431), 83.95/12.27 inference(avatar_split_clause,[],[f77848,f77314,f77310,f78022])). 83.95/12.27 tff(f78022,plain,( 83.95/12.27 spl19_434 <=> cardinality(union(sK5,complement(sF18))) = cardinality(union(complement(sF18),sK5))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_434])])). 83.95/12.27 tff(f77865,plain,( 83.95/12.27 ~spl19_433 | ~spl19_430 | ~spl19_431), 83.95/12.27 inference(avatar_split_clause,[],[f77844,f77314,f77310,f77863])). 83.95/12.27 tff(f77863,plain,( 83.95/12.27 spl19_433 <=> $less(cardinality(union(sK5,complement(sF18))),cardinality(union(complement(sF18),sK5)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_433])])). 83.95/12.27 tff(f77844,plain,( 83.95/12.27 ~$less(cardinality(union(sK5,complement(sF18))),cardinality(union(complement(sF18),sK5))) | (~spl19_430 | ~spl19_431)), 83.95/12.27 inference(forward_demodulation,[],[f77839,f77311])). 83.95/12.27 tff(f77839,plain,( 83.95/12.27 ~$less($sum(cardinality(sK5),cardinality(complement(sF18))),cardinality(union(complement(sF18),sK5))) | ~spl19_431), 83.95/12.27 inference(superposition,[],[f16250,f77315])). 83.95/12.27 tff(f77345,plain,( 83.95/12.27 spl19_432 | ~spl19_336), 83.95/12.27 inference(avatar_split_clause,[],[f63886,f63796,f77343])). 83.95/12.27 tff(f63886,plain,( 83.95/12.27 cardinality(union(complement(sK2),sF18)) = $sum(cardinality(complement(sK2)),cardinality(sF18)) | ~spl19_336), 83.95/12.27 inference(trivial_inequality_removal,[],[f63877])). 83.95/12.27 tff(f63877,plain,( 83.95/12.27 cardinality(union(complement(sK2),sF18)) = $sum(cardinality(complement(sK2)),cardinality(sF18)) | empty_set != empty_set | ~spl19_336), 83.95/12.27 inference(superposition,[],[f73,f63797])). 83.95/12.27 tff(f63797,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF18) | ~spl19_336), 83.95/12.27 inference(avatar_component_clause,[],[f63796])). 83.95/12.27 tff(f77316,plain,( 83.95/12.27 spl19_431 | ~spl19_334), 83.95/12.27 inference(avatar_split_clause,[],[f63369,f63310,f77314])). 83.95/12.27 tff(f63369,plain,( 83.95/12.27 cardinality(union(complement(sF18),sK5)) = $sum(cardinality(complement(sF18)),cardinality(sK5)) | ~spl19_334), 83.95/12.27 inference(trivial_inequality_removal,[],[f63360])). 83.95/12.27 tff(f63360,plain,( 83.95/12.27 empty_set != empty_set | cardinality(union(complement(sF18),sK5)) = $sum(cardinality(complement(sF18)),cardinality(sK5)) | ~spl19_334), 83.95/12.27 inference(superposition,[],[f73,f63311])). 83.95/12.27 tff(f63311,plain,( 83.95/12.27 empty_set = intersection(complement(sF18),sK5) | ~spl19_334), 83.95/12.27 inference(avatar_component_clause,[],[f63310])). 83.95/12.27 tff(f77312,plain,( 83.95/12.27 spl19_430 | ~spl19_328), 83.95/12.27 inference(avatar_split_clause,[],[f61268,f61079,f77310])). 83.95/12.27 tff(f61268,plain,( 83.95/12.27 cardinality(union(sK5,complement(sF18))) = $sum(cardinality(sK5),cardinality(complement(sF18))) | ~spl19_328), 83.95/12.27 inference(trivial_inequality_removal,[],[f61260])). 83.95/12.27 tff(f61260,plain,( 83.95/12.27 empty_set != empty_set | cardinality(union(sK5,complement(sF18))) = $sum(cardinality(sK5),cardinality(complement(sF18))) | ~spl19_328), 83.95/12.27 inference(superposition,[],[f73,f61080])). 83.95/12.27 tff(f61080,plain,( 83.95/12.27 empty_set = intersection(sK5,complement(sF18)) | ~spl19_328), 83.95/12.27 inference(avatar_component_clause,[],[f61079])). 83.95/12.27 tff(f77306,plain,( 83.95/12.27 spl19_429 | ~spl19_327), 83.95/12.27 inference(avatar_split_clause,[],[f59926,f59890,f77304])). 83.95/12.27 tff(f59926,plain,( 83.95/12.27 cardinality(union(sF18,complement(sK2))) = $sum(cardinality(sF18),cardinality(complement(sK2))) | ~spl19_327), 83.95/12.27 inference(trivial_inequality_removal,[],[f59921])). 83.95/12.27 tff(f59921,plain,( 83.95/12.27 cardinality(union(sF18,complement(sK2))) = $sum(cardinality(sF18),cardinality(complement(sK2))) | empty_set != empty_set | ~spl19_327), 83.95/12.27 inference(superposition,[],[f73,f59891])). 83.95/12.27 tff(f59891,plain,( 83.95/12.27 empty_set = intersection(sF18,complement(sK2)) | ~spl19_327), 83.95/12.27 inference(avatar_component_clause,[],[f59890])). 83.95/12.27 tff(f77290,plain,( 83.95/12.27 spl19_53 | spl19_428 | ~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f77285,f1281,f264,f150,f122,f98,f77288,f567])). 83.95/12.27 tff(f77288,plain,( 83.95/12.27 spl19_428 <=> ! [X0 : element] : ~member(X0,intersection(sF11,sF12))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_428])])). 83.95/12.27 tff(f77285,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(sF11,sF12)) | member(sK6,sF14)) ) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f77242,f123])). 83.95/12.27 tff(f77286,plain,( 83.95/12.27 spl19_53 | ~spl19_427), 83.95/12.27 inference(avatar_split_clause,[],[f77245,f77219,f567])). 83.95/12.27 tff(f77219,plain,( 83.95/12.27 spl19_427 <=> member(sK6,union(sF14,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_427])])). 83.95/12.27 tff(f77245,plain,( 83.95/12.27 member(sK6,sF14) | ~spl19_427), 83.95/12.27 inference(subsumption_resolution,[],[f77244,f162])). 83.95/12.27 tff(f77244,plain,( 83.95/12.27 member(sK6,sF14) | member(sK6,empty_set) | ~spl19_427), 83.95/12.27 inference(resolution,[],[f77220,f55])). 83.95/12.27 tff(f77220,plain,( 83.95/12.27 member(sK6,union(sF14,empty_set)) | ~spl19_427), 83.95/12.27 inference(avatar_component_clause,[],[f77219])). 83.95/12.27 tff(f77221,plain,( 83.95/12.27 spl19_427 | spl19_222 | ~spl19_425), 83.95/12.27 inference(avatar_split_clause,[],[f77075,f76992,f54485,f77219])). 83.95/12.27 tff(f76992,plain,( 83.95/12.27 spl19_425 <=> sK6 = sK0(union(sF14,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_425])])). 83.95/12.27 tff(f77075,plain,( 83.95/12.27 member(sK6,union(sF14,empty_set)) | empty_set = union(sF14,empty_set) | ~spl19_425), 83.95/12.27 inference(superposition,[],[f59,f76993])). 83.95/12.27 tff(f76993,plain,( 83.95/12.27 sK6 = sK0(union(sF14,empty_set)) | ~spl19_425), 83.95/12.27 inference(avatar_component_clause,[],[f76992])). 83.95/12.27 tff(f77217,plain,( 83.95/12.27 spl19_222 | spl19_53 | ~spl19_425), 83.95/12.27 inference(avatar_split_clause,[],[f77076,f76992,f567,f54485])). 83.95/12.27 tff(f77076,plain,( 83.95/12.27 member(sK6,sF14) | empty_set = union(sF14,empty_set) | ~spl19_425), 83.95/12.27 inference(subsumption_resolution,[],[f77074,f162])). 83.95/12.27 tff(f77074,plain,( 83.95/12.27 empty_set = union(sF14,empty_set) | member(sK6,sF14) | member(sK6,empty_set) | ~spl19_425), 83.95/12.27 inference(superposition,[],[f347,f76993])). 83.95/12.27 tff(f77077,plain,( 83.95/12.27 spl19_53 | spl19_222 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_425), 83.95/12.27 inference(avatar_split_clause,[],[f77073,f76992,f1281,f264,f98,f54485,f567])). 83.95/12.27 tff(f77073,plain,( 83.95/12.27 empty_set = union(sF14,empty_set) | member(sK6,sF14) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_425)), 83.95/12.27 inference(superposition,[],[f53895,f76993])). 83.95/12.27 tff(f77072,plain,( 83.95/12.27 spl19_426 | ~spl19_18 | ~spl19_423), 83.95/12.27 inference(avatar_split_clause,[],[f76986,f76976,f158,f77070])). 83.95/12.27 tff(f76976,plain,( 83.95/12.27 spl19_423 <=> member(sK0(union(sF14,empty_set)),sF11)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_423])])). 83.95/12.27 tff(f76986,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF18) | (~spl19_18 | ~spl19_423)), 83.95/12.27 inference(resolution,[],[f76977,f238])). 83.95/12.27 tff(f76977,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF11) | ~spl19_423), 83.95/12.27 inference(avatar_component_clause,[],[f76976])). 83.95/12.27 tff(f77024,plain,( 83.95/12.27 ~spl19_424 | ~spl19_141 | ~spl19_423), 83.95/12.27 inference(avatar_split_clause,[],[f76985,f76976,f51939,f76979])). 83.95/12.27 tff(f76985,plain,( 83.95/12.27 ~member(sK0(union(sF14,empty_set)),sF9) | (~spl19_141 | ~spl19_423)), 83.95/12.27 inference(resolution,[],[f76977,f51950])). 83.95/12.27 tff(f76995,plain,( 83.95/12.27 spl19_53 | ~spl19_9 | ~spl19_244 | ~spl19_423), 83.95/12.27 inference(avatar_split_clause,[],[f76989,f76976,f54906,f122,f567])). 83.95/12.27 tff(f54906,plain,( 83.95/12.27 spl19_244 <=> member(sK0(union(sF14,empty_set)),sF14)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_244])])). 83.95/12.27 tff(f76989,plain,( 83.95/12.27 member(sK6,sF14) | (~spl19_9 | ~spl19_244 | ~spl19_423)), 83.95/12.27 inference(backward_demodulation,[],[f54907,f76983])). 83.95/12.27 tff(f76983,plain,( 83.95/12.27 sK6 = sK0(union(sF14,empty_set)) | (~spl19_9 | ~spl19_423)), 83.95/12.27 inference(resolution,[],[f76977,f205])). 83.95/12.27 tff(f54907,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF14) | ~spl19_244), 83.95/12.27 inference(avatar_component_clause,[],[f54906])). 83.95/12.27 tff(f76994,plain,( 83.95/12.27 spl19_425 | ~spl19_9 | ~spl19_423), 83.95/12.27 inference(avatar_split_clause,[],[f76983,f76976,f122,f76992])). 83.95/12.27 tff(f76981,plain,( 83.95/12.27 spl19_423 | spl19_424 | ~spl19_66 | ~spl19_221), 83.95/12.27 inference(avatar_split_clause,[],[f55157,f54482,f1443,f76979,f76976])). 83.95/12.27 tff(f55157,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF9) | member(sK0(union(sF14,empty_set)),sF11) | (~spl19_66 | ~spl19_221)), 83.95/12.27 inference(resolution,[],[f54483,f53666])). 83.95/12.27 tff(f54483,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF12) | ~spl19_221), 83.95/12.27 inference(avatar_component_clause,[],[f54482])). 83.95/12.27 tff(f76900,plain,( 83.95/12.27 ~spl19_57 | ~spl19_3 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f76884,f1281,f264,f181,f122,f98,f682])). 83.95/12.27 tff(f76884,plain,( 83.95/12.27 empty_set != sF11 | (~spl19_3 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76881,f123])). 83.95/12.27 tff(f76895,plain,( 83.95/12.27 ~spl19_55 | ~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f76883,f1281,f264,f181,f118,f98,f607])). 83.95/12.27 tff(f76883,plain,( 83.95/12.27 empty_set != sF8 | (~spl19_3 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76881,f119])). 83.95/12.27 tff(f76894,plain,( 83.95/12.27 spl19_421 | spl19_422 | ~spl19_18 | ~spl19_191), 83.95/12.27 inference(avatar_split_clause,[],[f54137,f53939,f158,f76892,f76889])). 83.95/12.27 tff(f54137,plain,( 83.95/12.27 member(sK0(union(sK5,empty_set)),sK5) | member(sK0(union(sK5,empty_set)),sF11) | (~spl19_18 | ~spl19_191)), 83.95/12.27 inference(resolution,[],[f53940,f351])). 83.95/12.27 tff(f76887,plain,( 83.95/12.27 ~spl19_59 | ~spl19_3 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f76882,f1281,f264,f181,f126,f98,f1016])). 83.95/12.27 tff(f76882,plain,( 83.95/12.27 empty_set != sF13 | (~spl19_3 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76881,f127])). 83.95/12.27 tff(f76678,plain,( 83.95/12.27 spl19_420 | ~spl19_99 | ~spl19_337), 83.95/12.27 inference(avatar_split_clause,[],[f64160,f64133,f6762,f76676])). 83.95/12.27 tff(f76676,plain,( 83.95/12.27 spl19_420 <=> $sum(1,cardinality(complement(sK5))) = cardinality(union(complement(sK5),sF9))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_420])])). 83.95/12.27 tff(f64160,plain,( 83.95/12.27 $sum(1,cardinality(complement(sK5))) = cardinality(union(complement(sK5),sF9)) | (~spl19_99 | ~spl19_337)), 83.95/12.27 inference(forward_demodulation,[],[f64159,f15])). 83.95/12.27 tff(f64159,plain,( 83.95/12.27 cardinality(union(complement(sK5),sF9)) = $sum(cardinality(complement(sK5)),1) | (~spl19_99 | ~spl19_337)), 83.95/12.27 inference(forward_demodulation,[],[f64152,f6763])). 83.95/12.27 tff(f64152,plain,( 83.95/12.27 cardinality(union(complement(sK5),sF9)) = $sum(cardinality(complement(sK5)),cardinality(sF9)) | ~spl19_337), 83.95/12.27 inference(trivial_inequality_removal,[],[f64143])). 83.95/12.27 tff(f64143,plain,( 83.95/12.27 empty_set != empty_set | cardinality(union(complement(sK5),sF9)) = $sum(cardinality(complement(sK5)),cardinality(sF9)) | ~spl19_337), 83.95/12.27 inference(superposition,[],[f73,f64134])). 83.95/12.27 tff(f64134,plain,( 83.95/12.27 empty_set = intersection(complement(sK5),sF9) | ~spl19_337), 83.95/12.27 inference(avatar_component_clause,[],[f64133])). 83.95/12.27 tff(f76673,plain,( 83.95/12.27 spl19_419 | ~spl19_99 | ~spl19_335), 83.95/12.27 inference(avatar_split_clause,[],[f63666,f63644,f6762,f76671])). 83.95/12.27 tff(f76671,plain,( 83.95/12.27 spl19_419 <=> $sum(1,cardinality(complement(sF12))) = cardinality(union(complement(sF12),sF9))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_419])])). 83.95/12.27 tff(f63666,plain,( 83.95/12.27 $sum(1,cardinality(complement(sF12))) = cardinality(union(complement(sF12),sF9)) | (~spl19_99 | ~spl19_335)), 83.95/12.27 inference(forward_demodulation,[],[f63665,f15])). 83.95/12.27 tff(f63665,plain,( 83.95/12.27 cardinality(union(complement(sF12),sF9)) = $sum(cardinality(complement(sF12)),1) | (~spl19_99 | ~spl19_335)), 83.95/12.27 inference(forward_demodulation,[],[f63663,f6763])). 83.95/12.27 tff(f63663,plain,( 83.95/12.27 cardinality(union(complement(sF12),sF9)) = $sum(cardinality(complement(sF12)),cardinality(sF9)) | ~spl19_335), 83.95/12.27 inference(trivial_inequality_removal,[],[f63654])). 83.95/12.27 tff(f63654,plain,( 83.95/12.27 cardinality(union(complement(sF12),sF9)) = $sum(cardinality(complement(sF12)),cardinality(sF9)) | empty_set != empty_set | ~spl19_335), 83.95/12.27 inference(superposition,[],[f73,f63645])). 83.95/12.27 tff(f76668,plain,( 83.95/12.27 spl19_418 | ~spl19_99 | ~spl19_332), 83.95/12.27 inference(avatar_split_clause,[],[f63063,f62824,f6762,f76666])). 83.95/12.27 tff(f76666,plain,( 83.95/12.27 spl19_418 <=> $sum(1,cardinality(complement(sF8))) = cardinality(union(complement(sF8),sF9))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_418])])). 83.95/12.27 tff(f63063,plain,( 83.95/12.27 $sum(1,cardinality(complement(sF8))) = cardinality(union(complement(sF8),sF9)) | (~spl19_99 | ~spl19_332)), 83.95/12.27 inference(forward_demodulation,[],[f63062,f15])). 83.95/12.27 tff(f63062,plain,( 83.95/12.27 cardinality(union(complement(sF8),sF9)) = $sum(cardinality(complement(sF8)),1) | (~spl19_99 | ~spl19_332)), 83.95/12.27 inference(forward_demodulation,[],[f63052,f6763])). 83.95/12.27 tff(f63052,plain,( 83.95/12.27 cardinality(union(complement(sF8),sF9)) = $sum(cardinality(complement(sF8)),cardinality(sF9)) | ~spl19_332), 83.95/12.27 inference(trivial_inequality_removal,[],[f63043])). 83.95/12.27 tff(f63043,plain,( 83.95/12.27 cardinality(union(complement(sF8),sF9)) = $sum(cardinality(complement(sF8)),cardinality(sF9)) | empty_set != empty_set | ~spl19_332), 83.95/12.27 inference(superposition,[],[f73,f62825])). 83.95/12.27 tff(f76664,plain,( 83.95/12.27 spl19_417 | ~spl19_99 | ~spl19_331), 83.95/12.27 inference(avatar_split_clause,[],[f62396,f62195,f6762,f76662])). 83.95/12.27 tff(f76662,plain,( 83.95/12.27 spl19_417 <=> cardinality(union(sF9,complement(sF8))) = $sum(1,cardinality(complement(sF8)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_417])])). 83.95/12.27 tff(f62396,plain,( 83.95/12.27 cardinality(union(sF9,complement(sF8))) = $sum(1,cardinality(complement(sF8))) | (~spl19_99 | ~spl19_331)), 83.95/12.27 inference(forward_demodulation,[],[f62381,f6763])). 83.95/12.27 tff(f62381,plain,( 83.95/12.27 cardinality(union(sF9,complement(sF8))) = $sum(cardinality(sF9),cardinality(complement(sF8))) | ~spl19_331), 83.95/12.27 inference(trivial_inequality_removal,[],[f62372])). 83.95/12.27 tff(f62372,plain,( 83.95/12.27 cardinality(union(sF9,complement(sF8))) = $sum(cardinality(sF9),cardinality(complement(sF8))) | empty_set != empty_set | ~spl19_331), 83.95/12.27 inference(superposition,[],[f73,f62196])). 83.95/12.27 tff(f76656,plain,( 83.95/12.27 spl19_416 | ~spl19_99 | ~spl19_330), 83.95/12.27 inference(avatar_split_clause,[],[f62033,f62013,f6762,f76654])). 83.95/12.27 tff(f76654,plain,( 83.95/12.27 spl19_416 <=> cardinality(union(sF9,complement(sK5))) = $sum(1,cardinality(complement(sK5)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_416])])). 83.95/12.27 tff(f62033,plain,( 83.95/12.27 cardinality(union(sF9,complement(sK5))) = $sum(1,cardinality(complement(sK5))) | (~spl19_99 | ~spl19_330)), 83.95/12.27 inference(forward_demodulation,[],[f62032,f6763])). 83.95/12.27 tff(f62032,plain,( 83.95/12.27 cardinality(union(sF9,complement(sK5))) = $sum(cardinality(sF9),cardinality(complement(sK5))) | ~spl19_330), 83.95/12.27 inference(trivial_inequality_removal,[],[f62023])). 83.95/12.27 tff(f62023,plain,( 83.95/12.27 empty_set != empty_set | cardinality(union(sF9,complement(sK5))) = $sum(cardinality(sF9),cardinality(complement(sK5))) | ~spl19_330), 83.95/12.27 inference(superposition,[],[f73,f62014])). 83.95/12.27 tff(f62014,plain,( 83.95/12.27 empty_set = intersection(sF9,complement(sK5)) | ~spl19_330), 83.95/12.27 inference(avatar_component_clause,[],[f62013])). 83.95/12.27 tff(f76652,plain,( 83.95/12.27 spl19_415 | ~spl19_99 | ~spl19_326), 83.95/12.27 inference(avatar_split_clause,[],[f59708,f59579,f6762,f76650])). 83.95/12.27 tff(f76650,plain,( 83.95/12.27 spl19_415 <=> cardinality(union(sF9,complement(sF12))) = $sum(1,cardinality(complement(sF12)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_415])])). 83.95/12.27 tff(f59708,plain,( 83.95/12.27 cardinality(union(sF9,complement(sF12))) = $sum(1,cardinality(complement(sF12))) | (~spl19_99 | ~spl19_326)), 83.95/12.27 inference(forward_demodulation,[],[f59705,f6763])). 83.95/12.27 tff(f59705,plain,( 83.95/12.27 cardinality(union(sF9,complement(sF12))) = $sum(cardinality(sF9),cardinality(complement(sF12))) | ~spl19_326), 83.95/12.27 inference(trivial_inequality_removal,[],[f59700])). 83.95/12.27 tff(f59700,plain,( 83.95/12.27 cardinality(union(sF9,complement(sF12))) = $sum(cardinality(sF9),cardinality(complement(sF12))) | empty_set != empty_set | ~spl19_326), 83.95/12.27 inference(superposition,[],[f73,f59580])). 83.95/12.27 tff(f76458,plain,( 83.95/12.27 spl19_404 | spl19_276 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f76397,f1281,f264,f122,f118,f98,f55678,f74725])). 83.95/12.27 tff(f76397,plain,( 83.95/12.27 ( ! [X0 : element] : (sK1 = sK6 | ~member(X0,intersection(sF11,sF8))) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76306,f123])). 83.95/12.27 tff(f76457,plain,( 83.95/12.27 spl19_392 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f76396,f1281,f264,f126,f118,f98,f55655,f73858])). 83.95/12.27 tff(f76396,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(sF13,sF8)) | sK1 = sK7) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76306,f127])). 83.95/12.27 tff(f76358,plain,( 83.95/12.27 spl19_414 | ~spl19_13 | ~spl19_92), 83.95/12.27 inference(avatar_split_clause,[],[f76354,f5066,f138,f76356])). 83.95/12.27 tff(f76356,plain,( 83.95/12.27 spl19_414 <=> empty_set = difference(sF8,sK2)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_414])])). 83.95/12.27 tff(f76354,plain,( 83.95/12.27 empty_set = difference(sF8,sK2) | (~spl19_13 | ~spl19_92)), 83.95/12.27 inference(duplicate_literal_removal,[],[f76351])). 83.95/12.27 tff(f76351,plain,( 83.95/12.27 empty_set = difference(sF8,sK2) | empty_set = difference(sF8,sK2) | (~spl19_13 | ~spl19_92)), 83.95/12.27 inference(resolution,[],[f56002,f246])). 83.95/12.27 tff(f56002,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(difference(sF8,X0)),sK2) | empty_set = difference(sF8,X0)) ) | (~spl19_13 | ~spl19_92)), 83.95/12.27 inference(resolution,[],[f4995,f5553])). 83.95/12.27 tff(f76339,plain,( 83.95/12.27 ~spl19_413 | spl19_399 | ~spl19_146), 83.95/12.27 inference(avatar_split_clause,[],[f52582,f52205,f74604,f76337])). 83.95/12.27 tff(f52582,plain,( 83.95/12.27 empty_set = complement(complement(sF13)) | ~member(sK0(complement(complement(sF13))),sF9) | ~spl19_146), 83.95/12.27 inference(resolution,[],[f52235,f753])). 83.95/12.27 tff(f76322,plain,( 83.95/12.27 spl19_276 | spl19_398 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f76285,f1281,f264,f122,f118,f98,f74156,f55678])). 83.95/12.27 tff(f76285,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(sF8,sF11)) | sK1 = sK6) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76229,f119])). 83.95/12.27 tff(f76312,plain,( 83.95/12.27 spl19_412 | spl19_383 | ~spl19_355), 83.95/12.27 inference(avatar_split_clause,[],[f67114,f66825,f72610,f76310])). 83.95/12.27 tff(f72610,plain,( 83.95/12.27 spl19_383 <=> empty_set = complement(complement(sF11))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_383])])). 83.95/12.27 tff(f67114,plain,( 83.95/12.27 member(sK0(complement(complement(sF11))),sK2) | empty_set = complement(complement(sF11)) | ~spl19_355), 83.95/12.27 inference(resolution,[],[f67071,f753])). 83.95/12.27 tff(f76308,plain,( 83.95/12.27 spl19_280 | spl19_393 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f76284,f1281,f264,f126,f122,f98,f73862,f56130])). 83.95/12.27 tff(f76284,plain,( 83.95/12.27 ( ! [X0 : element] : (sK6 = sK7 | ~member(X0,intersection(sF13,sF11))) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f76229,f127])). 83.95/12.27 tff(f76237,plain,( 83.95/12.27 spl19_410 | spl19_411 | ~spl19_351), 83.95/12.27 inference(avatar_split_clause,[],[f66696,f66621,f76235,f76232])). 83.95/12.27 tff(f66696,plain,( 83.95/12.27 member(sK0(complement(complement(sK5))),sK2) | empty_set = complement(complement(sK5)) | ~spl19_351), 83.95/12.27 inference(resolution,[],[f66648,f753])). 83.95/12.27 tff(f76056,plain,( 83.95/12.27 spl19_408 | spl19_409 | ~spl19_351), 83.95/12.27 inference(avatar_split_clause,[],[f66694,f66621,f76054,f76051])). 83.95/12.27 tff(f66694,plain,( 83.95/12.27 empty_set = union(sK5,sK5) | member(sK0(union(sK5,sK5)),sK2) | ~spl19_351), 83.95/12.27 inference(resolution,[],[f66648,f11086])). 83.95/12.27 tff(f76004,plain,( 83.95/12.27 spl19_280 | spl19_403 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f75941,f1281,f264,f126,f122,f98,f74696,f56130])). 83.95/12.27 tff(f75941,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(sF11,sF13)) | sK6 = sK7) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f75894,f123])). 83.95/12.27 tff(f75966,plain,( 83.95/12.27 spl19_275 | spl19_396 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f75940,f1281,f264,f126,f118,f98,f74148,f55655])). 83.95/12.27 tff(f75940,plain,( 83.95/12.27 ( ! [X0 : element] : (sK1 = sK7 | ~member(X0,intersection(sF8,sF13))) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f75894,f119])). 83.95/12.27 tff(f75902,plain,( 83.95/12.27 spl19_406 | ~spl19_407 | ~spl19_164), 83.95/12.27 inference(avatar_split_clause,[],[f65653,f52974,f75900,f75897])). 83.95/12.27 tff(f75900,plain,( 83.95/12.27 spl19_407 <=> member(sK0(union(sF13,sF13)),sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_407])])). 83.95/12.27 tff(f65653,plain,( 83.95/12.27 ~member(sK0(union(sF13,sF13)),sK5) | empty_set = union(sF13,sF13) | ~spl19_164), 83.95/12.27 inference(resolution,[],[f11086,f52998])). 83.95/12.27 tff(f75230,plain,( 83.95/12.27 spl19_405 | spl19_53 | ~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f75193,f1281,f264,f150,f122,f98,f567,f75228])). 83.95/12.27 tff(f75228,plain,( 83.95/12.27 spl19_405 <=> ! [X0 : element] : ~member(X0,intersection(sF12,sF11))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_405])])). 83.95/12.27 tff(f75193,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK6,sF14) | ~member(X0,intersection(sF12,sF11))) ) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f74691,f123])). 83.95/12.27 tff(f74727,plain,( 83.95/12.27 spl19_276 | spl19_404 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f74648,f1281,f264,f122,f118,f98,f74725,f55678])). 83.95/12.27 tff(f74648,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(sF11,sF8)) | sK1 = sK6) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f74264,f119])). 83.95/12.27 tff(f74698,plain,( 83.95/12.27 spl19_403 | spl19_280 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f74647,f1281,f264,f126,f122,f98,f56130,f74696])). 83.95/12.27 tff(f74647,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(sF11,sF13)) | sK6 = sK7) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f74264,f127])). 83.95/12.27 tff(f74671,plain,( 83.95/12.27 ~spl19_401 | spl19_402 | ~spl19_167), 83.95/12.27 inference(avatar_split_clause,[],[f53309,f53106,f74669,f74666])). 83.95/12.27 tff(f74666,plain,( 83.95/12.27 spl19_401 <=> 0 = $sum(1,cardinality(sK5))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_401])])). 83.95/12.27 tff(f74669,plain,( 83.95/12.27 spl19_402 <=> empty_set = union(sF13,sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_402])])). 83.95/12.27 tff(f53106,plain,( 83.95/12.27 spl19_167 <=> cardinality(union(sF13,sK5)) = $sum(1,cardinality(sK5))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_167])])). 83.95/12.27 tff(f53309,plain,( 83.95/12.27 0 != $sum(1,cardinality(sK5)) | empty_set = union(sF13,sK5) | ~spl19_167), 83.95/12.27 inference(superposition,[],[f49,f53107])). 83.95/12.27 tff(f53107,plain,( 83.95/12.27 cardinality(union(sF13,sK5)) = $sum(1,cardinality(sK5)) | ~spl19_167), 83.95/12.27 inference(avatar_component_clause,[],[f53106])). 83.95/12.27 tff(f74609,plain,( 83.95/12.27 spl19_399 | ~spl19_400 | ~spl19_164), 83.95/12.27 inference(avatar_split_clause,[],[f53002,f52974,f74607,f74604])). 83.95/12.27 tff(f53002,plain,( 83.95/12.27 ~member(sK0(complement(complement(sF13))),sK5) | empty_set = complement(complement(sF13)) | ~spl19_164), 83.95/12.27 inference(resolution,[],[f52998,f753])). 83.95/12.27 tff(f74158,plain,( 83.95/12.27 spl19_398 | spl19_276 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f74145,f1281,f264,f122,f118,f98,f55678,f74156])). 83.95/12.27 tff(f74145,plain,( 83.95/12.27 ( ! [X0 : element] : (sK1 = sK6 | ~member(X0,intersection(sF8,sF11))) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f74069,f123])). 83.95/12.27 tff(f74154,plain,( 83.95/12.27 ~spl19_397 | spl19_362 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f65658,f52201,f67551,f74152])). 83.95/12.27 tff(f74152,plain,( 83.95/12.27 spl19_397 <=> member(sK0(union(sF18,sF18)),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_397])])). 83.95/12.27 tff(f67551,plain,( 83.95/12.27 spl19_362 <=> empty_set = union(sF18,sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_362])])). 83.95/12.27 tff(f65658,plain,( 83.95/12.27 empty_set = union(sF18,sF18) | ~member(sK0(union(sF18,sF18)),sF13) | ~spl19_145), 83.95/12.27 inference(resolution,[],[f11086,f52220])). 83.95/12.27 tff(f74150,plain,( 83.95/12.27 spl19_396 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f74144,f1281,f264,f126,f118,f98,f55655,f74148])). 83.95/12.27 tff(f74144,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(sF8,sF13)) | sK1 = sK7) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f74069,f127])). 83.95/12.27 tff(f74047,plain,( 83.95/12.27 spl19_394 | ~spl19_395 | ~spl19_141), 83.95/12.27 inference(avatar_split_clause,[],[f65647,f51939,f74045,f74042])). 83.95/12.27 tff(f65647,plain,( 83.95/12.27 ~member(sK0(union(sF11,sF11)),sF9) | empty_set = union(sF11,sF11) | ~spl19_141), 83.95/12.27 inference(resolution,[],[f11086,f51950])). 83.95/12.27 tff(f73864,plain,( 83.95/12.27 spl19_393 | spl19_280 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f73855,f1281,f264,f126,f122,f98,f56130,f73862])). 83.95/12.27 tff(f73855,plain,( 83.95/12.27 ( ! [X0 : element] : (sK6 = sK7 | ~member(X0,intersection(sF13,sF11))) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f73791,f123])). 83.95/12.27 tff(f73860,plain,( 83.95/12.27 spl19_392 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f73854,f1281,f264,f126,f118,f98,f55655,f73858])). 83.95/12.27 tff(f73854,plain,( 83.95/12.27 ( ! [X0 : element] : (sK1 = sK7 | ~member(X0,intersection(sF13,sF8))) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f73791,f119])). 83.95/12.27 tff(f73397,plain,( 83.95/12.27 ~spl19_390 | spl19_391 | ~spl19_162), 83.95/12.27 inference(avatar_split_clause,[],[f52959,f52924,f73395,f73392])). 83.95/12.27 tff(f73392,plain,( 83.95/12.27 spl19_390 <=> 0 = $sum(1,cardinality(sF18))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_390])])). 83.95/12.27 tff(f73395,plain,( 83.95/12.27 spl19_391 <=> empty_set = union(sF13,sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_391])])). 83.95/12.27 tff(f52924,plain,( 83.95/12.27 spl19_162 <=> cardinality(union(sF13,sF18)) = $sum(1,cardinality(sF18))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_162])])). 83.95/12.27 tff(f52959,plain,( 83.95/12.27 empty_set = union(sF13,sF18) | 0 != $sum(1,cardinality(sF18)) | ~spl19_162), 83.95/12.27 inference(superposition,[],[f49,f52925])). 83.95/12.27 tff(f52925,plain,( 83.95/12.27 cardinality(union(sF13,sF18)) = $sum(1,cardinality(sF18)) | ~spl19_162), 83.95/12.27 inference(avatar_component_clause,[],[f52924])). 83.95/12.27 tff(f73234,plain,( 83.95/12.27 spl19_389 | ~spl19_20 | ~spl19_388), 83.95/12.27 inference(avatar_split_clause,[],[f73228,f73208,f181,f73232])). 83.95/12.27 tff(f73208,plain,( 83.95/12.27 spl19_388 <=> empty_set = union(intersection(sF13,sF12),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_388])])). 83.95/12.27 tff(f73228,plain,( 83.95/12.27 0 = cardinality(intersection(sF13,sF12)) | (~spl19_20 | ~spl19_388)), 83.95/12.27 inference(forward_demodulation,[],[f73213,f182])). 83.95/12.27 tff(f73213,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(intersection(sF13,sF12)) | (~spl19_20 | ~spl19_388)), 83.95/12.27 inference(superposition,[],[f6110,f73209])). 83.95/12.27 tff(f73209,plain,( 83.95/12.27 empty_set = union(intersection(sF13,sF12),empty_set) | ~spl19_388), 83.95/12.27 inference(avatar_component_clause,[],[f73208])). 83.95/12.27 tff(f73210,plain,( 83.95/12.27 spl19_271 | spl19_388 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66 | spl19_161), 83.95/12.27 inference(avatar_split_clause,[],[f64845,f52588,f1443,f1281,f264,f126,f98,f73208,f55520])). 83.95/12.27 tff(f64845,plain,( 83.95/12.27 empty_set = union(intersection(sF13,sF12),empty_set) | member(sK7,sF11) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66 | spl19_161)), 83.95/12.27 inference(subsumption_resolution,[],[f64842,f52589])). 83.95/12.27 tff(f64842,plain,( 83.95/12.27 member(sK7,sF11) | member(sK7,sF9) | empty_set = union(intersection(sF13,sF12),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(duplicate_literal_removal,[],[f64837])). 83.95/12.27 tff(f64837,plain,( 83.95/12.27 empty_set = union(intersection(sF13,sF12),empty_set) | member(sK7,sF11) | member(sK7,sF9) | empty_set = union(intersection(sF13,sF12),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(superposition,[],[f54953,f54267])). 83.95/12.27 tff(f73186,plain,( 83.95/12.27 ~spl19_387 | spl19_128 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52346,f52201,f37883,f73184])). 83.95/12.27 tff(f73184,plain,( 83.95/12.27 spl19_387 <=> member(sK0(complement(complement(sF18))),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_387])])). 83.95/12.27 tff(f37883,plain,( 83.95/12.27 spl19_128 <=> empty_set = complement(complement(sF18))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_128])])). 83.95/12.27 tff(f52346,plain,( 83.95/12.27 ~member(sK0(complement(complement(sF18))),sF13) | empty_set = complement(complement(sF18)) | ~spl19_145), 83.95/12.27 inference(resolution,[],[f52220,f753])). 83.95/12.27 tff(f73046,plain,( 83.95/12.27 spl19_386 | ~spl19_20 | ~spl19_385), 83.95/12.27 inference(avatar_split_clause,[],[f73041,f72737,f181,f73044])). 83.95/12.27 tff(f72737,plain,( 83.95/12.27 spl19_385 <=> empty_set = union(intersection(sF12,sF13),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_385])])). 83.95/12.27 tff(f73041,plain,( 83.95/12.27 0 = cardinality(intersection(sF12,sF13)) | (~spl19_20 | ~spl19_385)), 83.95/12.27 inference(forward_demodulation,[],[f73026,f182])). 83.95/12.27 tff(f73026,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(intersection(sF12,sF13)) | (~spl19_20 | ~spl19_385)), 83.95/12.27 inference(superposition,[],[f6110,f72738])). 83.95/12.27 tff(f72738,plain,( 83.95/12.27 empty_set = union(intersection(sF12,sF13),empty_set) | ~spl19_385), 83.95/12.27 inference(avatar_component_clause,[],[f72737])). 83.95/12.27 tff(f72739,plain,( 83.95/12.27 spl19_385 | spl19_271 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66 | spl19_161), 83.95/12.27 inference(avatar_split_clause,[],[f64801,f52588,f1443,f1281,f264,f126,f98,f55520,f72737])). 83.95/12.27 tff(f64801,plain,( 83.95/12.27 member(sK7,sF11) | empty_set = union(intersection(sF12,sF13),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66 | spl19_161)), 83.95/12.27 inference(subsumption_resolution,[],[f64800,f52589])). 83.95/12.27 tff(f64800,plain,( 83.95/12.27 member(sK7,sF11) | empty_set = union(intersection(sF12,sF13),empty_set) | member(sK7,sF9) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(duplicate_literal_removal,[],[f64794])). 83.95/12.27 tff(f64794,plain,( 83.95/12.27 empty_set = union(intersection(sF12,sF13),empty_set) | member(sK7,sF9) | empty_set = union(intersection(sF12,sF13),empty_set) | member(sK7,sF11) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(superposition,[],[f54946,f54225])). 83.95/12.27 tff(f72615,plain,( 83.95/12.27 spl19_383 | ~spl19_384 | ~spl19_141), 83.95/12.27 inference(avatar_split_clause,[],[f51966,f51939,f72613,f72610])). 83.95/12.27 tff(f72613,plain,( 83.95/12.27 spl19_384 <=> member(sK0(complement(complement(sF11))),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_384])])). 83.95/12.27 tff(f51966,plain,( 83.95/12.27 empty_set = complement(complement(sF11)) | ~member(sK0(complement(complement(sF11))),sF9) | ~spl19_141), 83.95/12.27 inference(resolution,[],[f51950,f753])). 83.95/12.27 tff(f72312,plain,( 83.95/12.27 spl19_382 | ~spl19_20 | ~spl19_376), 83.95/12.27 inference(avatar_split_clause,[],[f72305,f69612,f181,f72310])). 83.95/12.27 tff(f72310,plain,( 83.95/12.27 spl19_382 <=> 0 = cardinality(difference(difference(sF13,sF14),empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_382])])). 83.95/12.27 tff(f69612,plain,( 83.95/12.27 spl19_376 <=> empty_set = union(difference(difference(sF13,sF14),empty_set),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_376])])). 83.95/12.27 tff(f72305,plain,( 83.95/12.27 0 = cardinality(difference(difference(sF13,sF14),empty_set)) | (~spl19_20 | ~spl19_376)), 83.95/12.27 inference(forward_demodulation,[],[f72289,f182])). 83.95/12.27 tff(f72289,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(difference(sF13,sF14),empty_set)) | (~spl19_20 | ~spl19_376)), 83.95/12.27 inference(superposition,[],[f6110,f69613])). 83.95/12.27 tff(f69613,plain,( 83.95/12.27 empty_set = union(difference(difference(sF13,sF14),empty_set),empty_set) | ~spl19_376), 83.95/12.27 inference(avatar_component_clause,[],[f69612])). 83.95/12.27 tff(f72042,plain,( 83.95/12.27 spl19_381 | ~spl19_20 | ~spl19_374), 83.95/12.27 inference(avatar_split_clause,[],[f72035,f69448,f181,f72040])). 83.95/12.27 tff(f72040,plain,( 83.95/12.27 spl19_381 <=> 0 = cardinality(difference(difference(sF12,sF14),empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_381])])). 83.95/12.27 tff(f69448,plain,( 83.95/12.27 spl19_374 <=> empty_set = union(difference(difference(sF12,sF14),empty_set),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_374])])). 83.95/12.27 tff(f72035,plain,( 83.95/12.27 0 = cardinality(difference(difference(sF12,sF14),empty_set)) | (~spl19_20 | ~spl19_374)), 83.95/12.27 inference(forward_demodulation,[],[f72020,f182])). 83.95/12.27 tff(f72020,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(difference(sF12,sF14),empty_set)) | (~spl19_20 | ~spl19_374)), 83.95/12.27 inference(superposition,[],[f6110,f69449])). 83.95/12.27 tff(f69449,plain,( 83.95/12.27 empty_set = union(difference(difference(sF12,sF14),empty_set),empty_set) | ~spl19_374), 83.95/12.27 inference(avatar_component_clause,[],[f69448])). 83.95/12.27 tff(f72005,plain,( 83.95/12.27 spl19_380 | ~spl19_20 | ~spl19_372), 83.95/12.27 inference(avatar_split_clause,[],[f71998,f69416,f181,f72003])). 83.95/12.27 tff(f72003,plain,( 83.95/12.27 spl19_380 <=> 0 = cardinality(difference(difference(sF11,sF12),empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_380])])). 83.95/12.27 tff(f69416,plain,( 83.95/12.27 spl19_372 <=> empty_set = union(difference(difference(sF11,sF12),empty_set),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_372])])). 83.95/12.27 tff(f71998,plain,( 83.95/12.27 0 = cardinality(difference(difference(sF11,sF12),empty_set)) | (~spl19_20 | ~spl19_372)), 83.95/12.27 inference(forward_demodulation,[],[f71981,f182])). 83.95/12.27 tff(f71981,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(difference(sF11,sF12),empty_set)) | (~spl19_20 | ~spl19_372)), 83.95/12.27 inference(superposition,[],[f6110,f69417])). 83.95/12.27 tff(f69417,plain,( 83.95/12.27 empty_set = union(difference(difference(sF11,sF12),empty_set),empty_set) | ~spl19_372), 83.95/12.27 inference(avatar_component_clause,[],[f69416])). 83.95/12.27 tff(f71283,plain,( 83.95/12.27 spl19_379 | ~spl19_20 | ~spl19_371), 83.95/12.27 inference(avatar_split_clause,[],[f71276,f69396,f181,f71281])). 83.95/12.27 tff(f71281,plain,( 83.95/12.27 spl19_379 <=> 0 = cardinality(difference(intersection(sF11,sF13),empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_379])])). 83.95/12.27 tff(f69396,plain,( 83.95/12.27 spl19_371 <=> empty_set = union(difference(intersection(sF11,sF13),empty_set),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_371])])). 83.95/12.27 tff(f71276,plain,( 83.95/12.27 0 = cardinality(difference(intersection(sF11,sF13),empty_set)) | (~spl19_20 | ~spl19_371)), 83.95/12.27 inference(forward_demodulation,[],[f71260,f182])). 83.95/12.27 tff(f71260,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(intersection(sF11,sF13),empty_set)) | (~spl19_20 | ~spl19_371)), 83.95/12.27 inference(superposition,[],[f6110,f69397])). 83.95/12.27 tff(f69397,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF11,sF13),empty_set),empty_set) | ~spl19_371), 83.95/12.27 inference(avatar_component_clause,[],[f69396])). 83.95/12.27 tff(f70550,plain,( 83.95/12.27 spl19_378 | ~spl19_20 | ~spl19_369), 83.95/12.27 inference(avatar_split_clause,[],[f70338,f69249,f181,f70548])). 83.95/12.27 tff(f70548,plain,( 83.95/12.27 spl19_378 <=> 0 = cardinality(difference(intersection(sF8,sF13),empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_378])])). 83.95/12.27 tff(f69249,plain,( 83.95/12.27 spl19_369 <=> empty_set = union(difference(intersection(sF8,sF13),empty_set),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_369])])). 83.95/12.27 tff(f70338,plain,( 83.95/12.27 0 = cardinality(difference(intersection(sF8,sF13),empty_set)) | (~spl19_20 | ~spl19_369)), 83.95/12.27 inference(forward_demodulation,[],[f70320,f182])). 83.95/12.27 tff(f70320,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(intersection(sF8,sF13),empty_set)) | (~spl19_20 | ~spl19_369)), 83.95/12.27 inference(superposition,[],[f6110,f69250])). 83.95/12.27 tff(f69250,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF8,sF13),empty_set),empty_set) | ~spl19_369), 83.95/12.27 inference(avatar_component_clause,[],[f69249])). 83.95/12.27 tff(f70117,plain,( 83.95/12.27 spl19_377 | ~spl19_20 | ~spl19_368), 83.95/12.27 inference(avatar_split_clause,[],[f69636,f69245,f181,f70115])). 83.95/12.27 tff(f70115,plain,( 83.95/12.27 spl19_377 <=> 0 = cardinality(difference(intersection(sF13,sF11),empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_377])])). 83.95/12.27 tff(f69245,plain,( 83.95/12.27 spl19_368 <=> empty_set = union(difference(intersection(sF13,sF11),empty_set),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_368])])). 83.95/12.27 tff(f69636,plain,( 83.95/12.27 0 = cardinality(difference(intersection(sF13,sF11),empty_set)) | (~spl19_20 | ~spl19_368)), 83.95/12.27 inference(forward_demodulation,[],[f69618,f182])). 83.95/12.27 tff(f69618,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(intersection(sF13,sF11),empty_set)) | (~spl19_20 | ~spl19_368)), 83.95/12.27 inference(superposition,[],[f6110,f69246])). 83.95/12.27 tff(f69246,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF13,sF11),empty_set),empty_set) | ~spl19_368), 83.95/12.27 inference(avatar_component_clause,[],[f69245])). 83.95/12.27 tff(f69614,plain,( 83.95/12.27 spl19_376 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_303), 83.95/12.27 inference(avatar_split_clause,[],[f63920,f57250,f1281,f264,f98,f69612])). 83.95/12.27 tff(f57250,plain,( 83.95/12.27 spl19_303 <=> empty_set = union(difference(sF13,sF14),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_303])])). 83.95/12.27 tff(f63920,plain,( 83.95/12.27 empty_set = union(difference(difference(sF13,sF14),empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_303)), 83.95/12.27 inference(superposition,[],[f60935,f57251])). 83.95/12.27 tff(f57251,plain,( 83.95/12.27 empty_set = union(difference(sF13,sF14),empty_set) | ~spl19_303), 83.95/12.27 inference(avatar_component_clause,[],[f57250])). 83.95/12.27 tff(f69595,plain,( 83.95/12.27 spl19_375 | ~spl19_20 | ~spl19_367), 83.95/12.27 inference(avatar_split_clause,[],[f69485,f69149,f181,f69593])). 83.95/12.27 tff(f69593,plain,( 83.95/12.27 spl19_375 <=> 0 = cardinality(difference(intersection(sF8,sF11),empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_375])])). 83.95/12.27 tff(f69149,plain,( 83.95/12.27 spl19_367 <=> empty_set = union(difference(intersection(sF8,sF11),empty_set),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_367])])). 83.95/12.27 tff(f69485,plain,( 83.95/12.27 0 = cardinality(difference(intersection(sF8,sF11),empty_set)) | (~spl19_20 | ~spl19_367)), 83.95/12.27 inference(forward_demodulation,[],[f69470,f182])). 83.95/12.27 tff(f69470,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(intersection(sF8,sF11),empty_set)) | (~spl19_20 | ~spl19_367)), 83.95/12.27 inference(superposition,[],[f6110,f69150])). 83.95/12.27 tff(f69150,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF8,sF11),empty_set),empty_set) | ~spl19_367), 83.95/12.27 inference(avatar_component_clause,[],[f69149])). 83.95/12.27 tff(f69450,plain,( 83.95/12.27 spl19_374 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_302), 83.95/12.27 inference(avatar_split_clause,[],[f63919,f57203,f1281,f264,f98,f69448])). 83.95/12.27 tff(f57203,plain,( 83.95/12.27 spl19_302 <=> empty_set = union(difference(sF12,sF14),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_302])])). 83.95/12.27 tff(f63919,plain,( 83.95/12.27 empty_set = union(difference(difference(sF12,sF14),empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_302)), 83.95/12.27 inference(superposition,[],[f60935,f57204])). 83.95/12.27 tff(f57204,plain,( 83.95/12.27 empty_set = union(difference(sF12,sF14),empty_set) | ~spl19_302), 83.95/12.27 inference(avatar_component_clause,[],[f57203])). 83.95/12.27 tff(f69446,plain,( 83.95/12.27 spl19_373 | ~spl19_20 | ~spl19_366), 83.95/12.27 inference(avatar_split_clause,[],[f69442,f69145,f181,f69444])). 83.95/12.27 tff(f69444,plain,( 83.95/12.27 spl19_373 <=> 0 = cardinality(difference(intersection(sF13,sF8),empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_373])])). 83.95/12.27 tff(f69145,plain,( 83.95/12.27 spl19_366 <=> empty_set = union(difference(intersection(sF13,sF8),empty_set),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_366])])). 83.95/12.27 tff(f69442,plain,( 83.95/12.27 0 = cardinality(difference(intersection(sF13,sF8),empty_set)) | (~spl19_20 | ~spl19_366)), 83.95/12.27 inference(forward_demodulation,[],[f69423,f182])). 83.95/12.27 tff(f69423,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(intersection(sF13,sF8),empty_set)) | (~spl19_20 | ~spl19_366)), 83.95/12.27 inference(superposition,[],[f6110,f69146])). 83.95/12.27 tff(f69146,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF13,sF8),empty_set),empty_set) | ~spl19_366), 83.95/12.27 inference(avatar_component_clause,[],[f69145])). 83.95/12.27 tff(f69418,plain,( 83.95/12.27 spl19_372 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_294), 83.95/12.27 inference(avatar_split_clause,[],[f63918,f57035,f1281,f264,f98,f69416])). 83.95/12.27 tff(f57035,plain,( 83.95/12.27 spl19_294 <=> empty_set = union(difference(sF11,sF12),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_294])])). 83.95/12.27 tff(f63918,plain,( 83.95/12.27 empty_set = union(difference(difference(sF11,sF12),empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_294)), 83.95/12.27 inference(superposition,[],[f60935,f57036])). 83.95/12.27 tff(f57036,plain,( 83.95/12.27 empty_set = union(difference(sF11,sF12),empty_set) | ~spl19_294), 83.95/12.27 inference(avatar_component_clause,[],[f57035])). 83.95/12.27 tff(f69398,plain,( 83.95/12.27 spl19_371 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_277), 83.95/12.27 inference(avatar_split_clause,[],[f63916,f55877,f1281,f264,f98,f69396])). 83.95/12.27 tff(f55877,plain,( 83.95/12.27 spl19_277 <=> empty_set = union(intersection(sF11,sF13),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_277])])). 83.95/12.27 tff(f63916,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF11,sF13),empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_277)), 83.95/12.27 inference(superposition,[],[f60935,f55878])). 83.95/12.27 tff(f55878,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF13),empty_set) | ~spl19_277), 83.95/12.27 inference(avatar_component_clause,[],[f55877])). 83.95/12.27 tff(f69318,plain,( 83.95/12.27 spl19_370 | ~spl19_20 | ~spl19_365), 83.95/12.27 inference(avatar_split_clause,[],[f69139,f69111,f181,f69316])). 83.95/12.27 tff(f69316,plain,( 83.95/12.27 spl19_370 <=> 0 = cardinality(difference(intersection(sF11,sF8),empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_370])])). 83.95/12.27 tff(f69111,plain,( 83.95/12.27 spl19_365 <=> empty_set = union(difference(intersection(sF11,sF8),empty_set),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_365])])). 83.95/12.27 tff(f69139,plain,( 83.95/12.27 0 = cardinality(difference(intersection(sF11,sF8),empty_set)) | (~spl19_20 | ~spl19_365)), 83.95/12.27 inference(forward_demodulation,[],[f69125,f182])). 83.95/12.27 tff(f69125,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(intersection(sF11,sF8),empty_set)) | (~spl19_20 | ~spl19_365)), 83.95/12.27 inference(superposition,[],[f6110,f69112])). 83.95/12.27 tff(f69112,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF11,sF8),empty_set),empty_set) | ~spl19_365), 83.95/12.27 inference(avatar_component_clause,[],[f69111])). 83.95/12.27 tff(f69251,plain,( 83.95/12.27 spl19_369 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_266), 83.95/12.27 inference(avatar_split_clause,[],[f63915,f55501,f1281,f264,f98,f69249])). 83.95/12.27 tff(f55501,plain,( 83.95/12.27 spl19_266 <=> empty_set = union(intersection(sF8,sF13),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_266])])). 83.95/12.27 tff(f63915,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF8,sF13),empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_266)), 83.95/12.27 inference(superposition,[],[f60935,f55502])). 83.95/12.27 tff(f55502,plain,( 83.95/12.27 empty_set = union(intersection(sF8,sF13),empty_set) | ~spl19_266), 83.95/12.27 inference(avatar_component_clause,[],[f55501])). 83.95/12.27 tff(f69247,plain,( 83.95/12.27 spl19_368 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_296), 83.95/12.27 inference(avatar_split_clause,[],[f63912,f57071,f1281,f264,f98,f69245])). 83.95/12.27 tff(f63912,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF13,sF11),empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_296)), 83.95/12.27 inference(superposition,[],[f60935,f57072])). 83.95/12.27 tff(f57072,plain,( 83.95/12.27 empty_set = union(intersection(sF13,sF11),empty_set) | ~spl19_296), 83.95/12.27 inference(avatar_component_clause,[],[f57071])). 83.95/12.27 tff(f69151,plain,( 83.95/12.27 spl19_367 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_265), 83.95/12.27 inference(avatar_split_clause,[],[f63910,f55493,f1281,f264,f98,f69149])). 83.95/12.27 tff(f63910,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF8,sF11),empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_265)), 83.95/12.27 inference(superposition,[],[f60935,f55494])). 83.95/12.27 tff(f55494,plain,( 83.95/12.27 empty_set = union(intersection(sF8,sF11),empty_set) | ~spl19_265), 83.95/12.27 inference(avatar_component_clause,[],[f55493])). 83.95/12.27 tff(f69147,plain,( 83.95/12.27 spl19_366 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_295), 83.95/12.27 inference(avatar_split_clause,[],[f63909,f57065,f1281,f264,f98,f69145])). 83.95/12.27 tff(f63909,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF13,sF8),empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_295)), 83.95/12.27 inference(superposition,[],[f60935,f57066])). 83.95/12.27 tff(f57066,plain,( 83.95/12.27 empty_set = union(intersection(sF13,sF8),empty_set) | ~spl19_295), 83.95/12.27 inference(avatar_component_clause,[],[f57065])). 83.95/12.27 tff(f69113,plain,( 83.95/12.27 spl19_365 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_284), 83.95/12.27 inference(avatar_split_clause,[],[f63908,f56320,f1281,f264,f98,f69111])). 83.95/12.27 tff(f63908,plain,( 83.95/12.27 empty_set = union(difference(intersection(sF11,sF8),empty_set),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_284)), 83.95/12.27 inference(superposition,[],[f60935,f56321])). 83.95/12.27 tff(f56321,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF8),empty_set) | ~spl19_284), 83.95/12.27 inference(avatar_component_clause,[],[f56320])). 83.95/12.27 tff(f67714,plain,( 83.95/12.27 ~spl19_41 | ~spl19_357), 83.95/12.27 inference(avatar_contradiction_clause,[],[f67713])). 83.95/12.27 tff(f67713,plain,( 83.95/12.27 $false | (~spl19_41 | ~spl19_357)), 83.95/12.27 inference(resolution,[],[f67676,f489])). 83.95/12.27 tff(f67676,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sF9)) ) | ~spl19_357), 83.95/12.27 inference(subsumption_resolution,[],[f67656,f162])). 83.95/12.27 tff(f67656,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,empty_set)) ) | ~spl19_357), 83.95/12.27 inference(superposition,[],[f53,f67173])). 83.95/12.27 tff(f67173,plain,( 83.95/12.27 empty_set = union(sF9,sF9) | ~spl19_357), 83.95/12.27 inference(avatar_component_clause,[],[f67172])). 83.95/12.27 tff(f67172,plain,( 83.95/12.27 spl19_357 <=> empty_set = union(sF9,sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_357])])). 83.95/12.27 tff(f67681,plain,( 83.95/12.27 spl19_364 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_357), 83.95/12.27 inference(avatar_split_clause,[],[f67666,f67172,f1281,f264,f98,f67679])). 83.95/12.27 tff(f67679,plain,( 83.95/12.27 spl19_364 <=> empty_set = difference(sF9,empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_364])])). 83.95/12.27 tff(f67666,plain,( 83.95/12.27 empty_set = difference(sF9,empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_357)), 83.95/12.27 inference(superposition,[],[f63946,f67173])). 83.95/12.27 tff(f67648,plain,( 83.95/12.27 ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_42 | ~spl19_61 | ~spl19_362), 83.95/12.27 inference(avatar_contradiction_clause,[],[f67640])). 83.95/12.27 tff(f67640,plain,( 83.95/12.27 $false | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_42 | ~spl19_61 | ~spl19_362)), 83.95/12.27 inference(resolution,[],[f67581,f494])). 83.95/12.27 tff(f67581,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sK5)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_362)), 83.95/12.27 inference(subsumption_resolution,[],[f67562,f162])). 83.95/12.27 tff(f67562,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sK5) | member(X0,empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_362)), 83.95/12.27 inference(superposition,[],[f64383,f67552])). 83.95/12.27 tff(f67552,plain,( 83.95/12.27 empty_set = union(sF18,sF18) | ~spl19_362), 83.95/12.27 inference(avatar_component_clause,[],[f67551])). 83.95/12.27 tff(f64383,plain,( 83.95/12.27 ( ! [X0 : element,X1 : set] : (member(X0,union(sF18,X1)) | ~member(X0,sK5)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f64296,f61])). 83.95/12.27 tff(f64296,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,difference(sK5,union(sF18,X0)))) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f64288,f162])). 83.95/12.27 tff(f64288,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,difference(sK5,union(sF18,X0))) | member(X1,empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f60936])). 83.95/12.27 tff(f60936,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(difference(sK5,union(sF18,X0)),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f60892])). 83.95/12.27 tff(f60892,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(difference(sK5,union(sF18,X0)),empty_set) | empty_set = union(difference(sK5,union(sF18,X0)),empty_set)) ) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54289,f54310])). 83.95/12.27 tff(f67647,plain,( 83.95/12.27 ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_121 | ~spl19_362), 83.95/12.27 inference(avatar_contradiction_clause,[],[f67606])). 83.95/12.27 tff(f67606,plain,( 83.95/12.27 $false | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_121 | ~spl19_362)), 83.95/12.27 inference(resolution,[],[f67581,f31141])). 83.95/12.27 tff(f67646,plain,( 83.95/12.27 ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_105 | ~spl19_362), 83.95/12.27 inference(avatar_contradiction_clause,[],[f67607])). 83.95/12.27 tff(f67607,plain,( 83.95/12.27 $false | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_105 | ~spl19_362)), 83.95/12.27 inference(resolution,[],[f67581,f9609])). 83.95/12.27 tff(f67645,plain,( 83.95/12.27 ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_356 | ~spl19_362), 83.95/12.27 inference(avatar_contradiction_clause,[],[f67597])). 83.95/12.27 tff(f67597,plain,( 83.95/12.27 $false | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_356 | ~spl19_362)), 83.95/12.27 inference(resolution,[],[f67581,f67170])). 83.95/12.27 tff(f67644,plain,( 83.95/12.27 ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_118 | ~spl19_362), 83.95/12.27 inference(avatar_contradiction_clause,[],[f67598])). 83.95/12.27 tff(f67598,plain,( 83.95/12.27 $false | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_118 | ~spl19_362)), 83.95/12.27 inference(resolution,[],[f67581,f12557])). 83.95/12.27 tff(f67643,plain,( 83.95/12.27 ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_225 | ~spl19_362), 83.95/12.27 inference(avatar_contradiction_clause,[],[f67603])). 83.95/12.27 tff(f67603,plain,( 83.95/12.27 $false | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_225 | ~spl19_362)), 83.95/12.27 inference(resolution,[],[f67581,f54538])). 83.95/12.27 tff(f67642,plain,( 83.95/12.27 ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_107 | ~spl19_362), 83.95/12.27 inference(avatar_contradiction_clause,[],[f67596])). 83.95/12.27 tff(f67596,plain,( 83.95/12.27 $false | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_107 | ~spl19_362)), 83.95/12.27 inference(resolution,[],[f67581,f11217])). 83.95/12.27 tff(f67641,plain,( 83.95/12.27 ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_130 | ~spl19_362), 83.95/12.27 inference(avatar_contradiction_clause,[],[f67608])). 83.95/12.27 tff(f67608,plain,( 83.95/12.27 $false | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_130 | ~spl19_362)), 83.95/12.27 inference(resolution,[],[f67581,f38992])). 83.95/12.27 tff(f67556,plain,( 83.95/12.27 spl19_362 | spl19_363 | ~spl19_7), 83.95/12.27 inference(avatar_split_clause,[],[f65660,f114,f67554,f67551])). 83.95/12.27 tff(f65660,plain,( 83.95/12.27 member(sK0(union(sF18,sF18)),sK2) | empty_set = union(sF18,sF18) | ~spl19_7), 83.95/12.27 inference(resolution,[],[f11086,f272])). 83.95/12.27 tff(f67396,plain,( 83.95/12.27 spl19_361 | ~spl19_7 | ~spl19_359), 83.95/12.27 inference(avatar_split_clause,[],[f67265,f67259,f114,f67394])). 83.95/12.27 tff(f67265,plain,( 83.95/12.27 member(sK0(union(sF9,sF9)),sK2) | (~spl19_7 | ~spl19_359)), 83.95/12.27 inference(resolution,[],[f67260,f272])). 83.95/12.27 tff(f67384,plain,( 83.95/12.27 ~spl19_360 | ~spl19_145 | ~spl19_359), 83.95/12.27 inference(avatar_split_clause,[],[f67263,f67259,f52201,f67382])). 83.95/12.27 tff(f67382,plain,( 83.95/12.27 spl19_360 <=> member(sK0(union(sF9,sF9)),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_360])])). 83.95/12.27 tff(f67263,plain,( 83.95/12.27 ~member(sK0(union(sF9,sF9)),sF13) | (~spl19_145 | ~spl19_359)), 83.95/12.27 inference(resolution,[],[f67260,f52220])). 83.95/12.27 tff(f67261,plain,( 83.95/12.27 spl19_359 | ~spl19_18 | ~spl19_356), 83.95/12.27 inference(avatar_split_clause,[],[f67176,f67169,f158,f67259])). 83.95/12.27 tff(f67176,plain,( 83.95/12.27 member(sK0(union(sF9,sF9)),sF18) | (~spl19_18 | ~spl19_356)), 83.95/12.27 inference(resolution,[],[f67170,f243])). 83.95/12.27 tff(f67219,plain,( 83.95/12.27 spl19_358 | spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_18), 83.95/12.27 inference(avatar_split_clause,[],[f66529,f158,f126,f114,f90,f67217])). 83.95/12.27 tff(f66529,plain,( 83.95/12.27 empty_set = intersection(sF13,sF11) | (spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(subsumption_resolution,[],[f66528,f91])). 83.95/12.27 tff(f66528,plain,( 83.95/12.27 empty_set = intersection(sF13,sF11) | member(sK7,sK2) | (~spl19_7 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(duplicate_literal_removal,[],[f66523])). 83.95/12.27 tff(f66523,plain,( 83.95/12.27 member(sK7,sK2) | empty_set = intersection(sF13,sF11) | empty_set = intersection(sF13,sF11) | (~spl19_7 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(superposition,[],[f52946,f4861])). 83.95/12.27 tff(f67179,plain,( 83.95/12.27 spl19_154 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13), 83.95/12.27 inference(avatar_split_clause,[],[f66520,f138,f122,f106,f102,f52454])). 83.95/12.27 tff(f66520,plain,( 83.95/12.27 empty_set = intersection(sF11,sF8) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13)), 83.95/12.27 inference(subsumption_resolution,[],[f66516,f103])). 83.95/12.27 tff(f66516,plain,( 83.95/12.27 member(sK6,sK5) | empty_set = intersection(sF11,sF8) | (~spl19_5 | ~spl19_9 | ~spl19_13)), 83.95/12.27 inference(duplicate_literal_removal,[],[f66514])). 83.95/12.27 tff(f66514,plain,( 83.95/12.27 empty_set = intersection(sF11,sF8) | empty_set = intersection(sF11,sF8) | member(sK6,sK5) | (~spl19_5 | ~spl19_9 | ~spl19_13)), 83.95/12.27 inference(superposition,[],[f52440,f4857])). 83.95/12.27 tff(f67174,plain,( 83.95/12.27 spl19_356 | spl19_357 | ~spl19_5), 83.95/12.27 inference(avatar_split_clause,[],[f65641,f106,f67172,f67169])). 83.95/12.27 tff(f65641,plain,( 83.95/12.27 empty_set = union(sF9,sF9) | member(sK0(union(sF9,sF9)),sK5) | ~spl19_5), 83.95/12.27 inference(resolution,[],[f11086,f271])). 83.95/12.27 tff(f66830,plain,( 83.95/12.27 spl19_352 | ~spl19_5 | ~spl19_10 | ~spl19_13 | spl19_166), 83.95/12.27 inference(avatar_split_clause,[],[f66519,f53008,f138,f126,f106,f66625])). 83.95/12.27 tff(f66519,plain,( 83.95/12.27 empty_set = intersection(sF13,sF8) | (~spl19_5 | ~spl19_10 | ~spl19_13 | spl19_166)), 83.95/12.27 inference(subsumption_resolution,[],[f66518,f53009])). 83.95/12.27 tff(f66518,plain,( 83.95/12.27 empty_set = intersection(sF13,sF8) | member(sK7,sK5) | (~spl19_5 | ~spl19_10 | ~spl19_13)), 83.95/12.27 inference(duplicate_literal_removal,[],[f66513])). 83.95/12.27 tff(f66513,plain,( 83.95/12.27 member(sK7,sK5) | empty_set = intersection(sF13,sF8) | empty_set = intersection(sF13,sF8) | (~spl19_5 | ~spl19_10 | ~spl19_13)), 83.95/12.27 inference(superposition,[],[f52440,f4861])). 83.95/12.27 tff(f66827,plain,( 83.95/12.27 spl19_355 | ~spl19_7 | ~spl19_18), 83.95/12.27 inference(avatar_split_clause,[],[f66823,f158,f114,f66825])). 83.95/12.27 tff(f66823,plain,( 83.95/12.27 empty_set = difference(sF11,sK2) | (~spl19_7 | ~spl19_18)), 83.95/12.27 inference(duplicate_literal_removal,[],[f66820])). 83.95/12.27 tff(f66820,plain,( 83.95/12.27 empty_set = difference(sF11,sK2) | empty_set = difference(sF11,sK2) | (~spl19_7 | ~spl19_18)), 83.95/12.27 inference(resolution,[],[f56158,f246])). 83.95/12.27 tff(f56158,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(difference(sF11,X0)),sK2) | empty_set = difference(sF11,X0)) ) | (~spl19_7 | ~spl19_18)), 83.95/12.27 inference(resolution,[],[f5000,f272])). 83.95/12.27 tff(f5000,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(difference(sF11,X0)),sF18) | empty_set = difference(sF11,X0)) ) | ~spl19_18), 83.95/12.27 inference(resolution,[],[f245,f238])). 83.95/12.27 tff(f66783,plain,( 83.95/12.27 spl19_354 | ~spl19_5 | ~spl19_13 | ~spl19_18), 83.95/12.27 inference(avatar_split_clause,[],[f66740,f158,f138,f106,f66781])). 83.95/12.27 tff(f66781,plain,( 83.95/12.27 spl19_354 <=> empty_set = difference(sF8,sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_354])])). 83.95/12.27 tff(f66740,plain,( 83.95/12.27 empty_set = difference(sF8,sF18) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.95/12.27 inference(duplicate_literal_removal,[],[f66735])). 83.95/12.27 tff(f66735,plain,( 83.95/12.27 empty_set = difference(sF8,sF18) | empty_set = difference(sF8,sF18) | (~spl19_5 | ~spl19_13 | ~spl19_18)), 83.95/12.27 inference(resolution,[],[f66714,f246])). 83.95/12.27 tff(f66745,plain,( 83.95/12.27 spl19_353 | ~spl19_5 | ~spl19_13), 83.95/12.27 inference(avatar_split_clause,[],[f66716,f138,f106,f66743])). 83.95/12.27 tff(f66716,plain,( 83.95/12.27 empty_set = difference(sF8,sK5) | (~spl19_5 | ~spl19_13)), 83.95/12.27 inference(duplicate_literal_removal,[],[f66712])). 83.95/12.27 tff(f66712,plain,( 83.95/12.27 empty_set = difference(sF8,sK5) | empty_set = difference(sF8,sK5) | (~spl19_5 | ~spl19_13)), 83.95/12.27 inference(resolution,[],[f56001,f246])). 83.95/12.27 tff(f66627,plain,( 83.95/12.27 spl19_147 | spl19_352 | ~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18), 83.95/12.27 inference(avatar_split_clause,[],[f66538,f158,f138,f126,f106,f66625,f52209])). 83.95/12.27 tff(f66538,plain,( 83.95/12.27 empty_set = intersection(sF13,sF8) | member(sK7,sF18) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.95/12.27 inference(duplicate_literal_removal,[],[f66535])). 83.95/12.27 tff(f66535,plain,( 83.95/12.27 member(sK7,sF18) | empty_set = intersection(sF13,sF8) | empty_set = intersection(sF13,sF8) | (~spl19_5 | ~spl19_10 | ~spl19_13 | ~spl19_18)), 83.95/12.27 inference(superposition,[],[f66510,f4861])). 83.95/12.27 tff(f66623,plain,( 83.95/12.27 spl19_351 | ~spl19_7 | ~spl19_18), 83.95/12.27 inference(avatar_split_clause,[],[f66542,f158,f114,f66621])). 83.95/12.27 tff(f66542,plain,( 83.95/12.27 empty_set = difference(sK5,sK2) | (~spl19_7 | ~spl19_18)), 83.95/12.27 inference(duplicate_literal_removal,[],[f66541])). 83.95/12.27 tff(f66541,plain,( 83.95/12.27 empty_set = difference(sK5,sK2) | empty_set = difference(sK5,sK2) | (~spl19_7 | ~spl19_18)), 83.95/12.27 inference(resolution,[],[f55906,f246])). 83.95/12.27 tff(f55906,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(difference(sK5,X0)),sK2) | empty_set = difference(sK5,X0)) ) | (~spl19_7 | ~spl19_18)), 83.95/12.27 inference(resolution,[],[f4994,f272])). 83.95/12.27 tff(f66318,plain,( 83.95/12.27 spl19_350 | spl19_203 | ~spl19_292), 83.95/12.27 inference(avatar_split_clause,[],[f57063,f57027,f54013,f66316])). 83.95/12.27 tff(f66316,plain,( 83.95/12.27 spl19_350 <=> member(sK1,union(sF12,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_350])])). 83.95/12.27 tff(f54013,plain,( 83.95/12.27 spl19_203 <=> empty_set = union(sF12,empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_203])])). 83.95/12.27 tff(f57027,plain,( 83.95/12.27 spl19_292 <=> sK1 = sK0(union(sF12,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_292])])). 83.95/12.27 tff(f57063,plain,( 83.95/12.27 member(sK1,union(sF12,empty_set)) | empty_set = union(sF12,empty_set) | ~spl19_292), 83.95/12.27 inference(superposition,[],[f59,f57028])). 83.95/12.27 tff(f57028,plain,( 83.95/12.27 sK1 = sK0(union(sF12,empty_set)) | ~spl19_292), 83.95/12.27 inference(avatar_component_clause,[],[f57027])). 83.95/12.27 tff(f66314,plain,( 83.95/12.27 spl19_348 | ~spl19_349 | ~spl19_319), 83.95/12.27 inference(avatar_split_clause,[],[f62434,f59165,f66312,f66309])). 83.95/12.27 tff(f66309,plain,( 83.95/12.27 spl19_348 <=> empty_set = complement(sF8)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_348])])). 83.95/12.27 tff(f66312,plain,( 83.95/12.27 spl19_349 <=> member(sK0(complement(sF8)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_349])])). 83.95/12.27 tff(f59165,plain,( 83.95/12.27 spl19_319 <=> empty_set = union(intersection(sF9,complement(sF8)),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_319])])). 83.95/12.27 tff(f62434,plain,( 83.95/12.27 empty_set = complement(sF8) | ~member(sK0(complement(sF8)),sF9) | ~spl19_319), 83.95/12.27 inference(resolution,[],[f62166,f59])). 83.95/12.27 tff(f62166,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,complement(sF8)) | ~member(X0,sF9)) ) | ~spl19_319), 83.95/12.27 inference(resolution,[],[f62164,f46])). 83.95/12.27 tff(f62164,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(sF9,complement(sF8)))) ) | ~spl19_319), 83.95/12.27 inference(subsumption_resolution,[],[f62157,f162])). 83.95/12.27 tff(f62157,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,intersection(sF9,complement(sF8)))) ) | ~spl19_319), 83.95/12.27 inference(superposition,[],[f54,f59166])). 83.95/12.27 tff(f59166,plain,( 83.95/12.27 empty_set = union(intersection(sF9,complement(sF8)),empty_set) | ~spl19_319), 83.95/12.27 inference(avatar_component_clause,[],[f59165])). 83.95/12.27 tff(f66190,plain,( 83.95/12.27 ~spl19_346 | spl19_347 | ~spl19_318), 83.95/12.27 inference(avatar_split_clause,[],[f62081,f59161,f66188,f66185])). 83.95/12.27 tff(f66185,plain,( 83.95/12.27 spl19_346 <=> member(sK0(complement(sK5)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_346])])). 83.95/12.27 tff(f62081,plain,( 83.95/12.27 empty_set = complement(sK5) | ~member(sK0(complement(sK5)),sF9) | ~spl19_318), 83.95/12.27 inference(resolution,[],[f61875,f59])). 83.95/12.27 tff(f65901,plain,( 83.95/12.27 spl19_342 | ~spl19_344), 83.95/12.27 inference(avatar_contradiction_clause,[],[f65883])). 83.95/12.27 tff(f65883,plain,( 83.95/12.27 $false | (spl19_342 | ~spl19_344)), 83.95/12.27 inference(resolution,[],[f65876,f65837])). 83.95/12.27 tff(f65837,plain,( 83.95/12.27 ~member(sK0(complement(sK2)),sF18) | spl19_342), 83.95/12.27 inference(avatar_component_clause,[],[f65836])). 83.95/12.27 tff(f65836,plain,( 83.95/12.27 spl19_342 <=> member(sK0(complement(sK2)),sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_342])])). 83.95/12.27 tff(f65876,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,sF18)) ) | ~spl19_344), 83.95/12.27 inference(subsumption_resolution,[],[f65853,f162])). 83.95/12.27 tff(f65853,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,sF18) | member(X0,empty_set)) ) | ~spl19_344), 83.95/12.27 inference(superposition,[],[f57,f65844])). 83.95/12.27 tff(f65844,plain,( 83.95/12.27 empty_set = complement(sF18) | ~spl19_344), 83.95/12.27 inference(avatar_component_clause,[],[f65843])). 83.95/12.27 tff(f65848,plain,( 83.95/12.27 spl19_344 | ~spl19_345 | ~spl19_316), 83.95/12.27 inference(avatar_split_clause,[],[f61490,f59051,f65846,f65843])). 83.95/12.27 tff(f65846,plain,( 83.95/12.27 spl19_345 <=> member(sK0(complement(sF18)),sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_345])])). 83.95/12.27 tff(f61490,plain,( 83.95/12.27 empty_set = complement(sF18) | ~member(sK0(complement(sF18)),sK5) | ~spl19_316), 83.95/12.27 inference(resolution,[],[f61053,f59])). 83.95/12.27 tff(f65841,plain,( 83.95/12.27 ~spl19_342 | spl19_343 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f60041,f58997,f65839,f65836])). 83.95/12.27 tff(f60041,plain,( 83.95/12.27 ~member(sK0(complement(sK2)),sF18) | empty_set = complement(sK2) | ~spl19_315), 83.95/12.27 inference(resolution,[],[f59852,f59])). 83.95/12.27 tff(f65834,plain,( 83.95/12.27 spl19_340 | ~spl19_341 | ~spl19_314), 83.95/12.27 inference(avatar_split_clause,[],[f59746,f58993,f65832,f65829])). 83.95/12.27 tff(f65832,plain,( 83.95/12.27 spl19_341 <=> member(sK0(complement(sF12)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_341])])). 83.95/12.27 tff(f59746,plain,( 83.95/12.27 ~member(sK0(complement(sF12)),sF9) | empty_set = complement(sF12) | ~spl19_314), 83.95/12.27 inference(resolution,[],[f59558,f59])). 83.95/12.27 tff(f65454,plain,( 83.95/12.27 spl19_339 | ~spl19_338), 83.95/12.27 inference(avatar_split_clause,[],[f65245,f65198,f65451])). 83.95/12.27 tff(f65451,plain,( 83.95/12.27 spl19_339 <=> empty_set = difference(sF9,sF14)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_339])])). 83.95/12.27 tff(f65198,plain,( 83.95/12.27 spl19_338 <=> empty_set = union(difference(sF9,sF14),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_338])])). 83.95/12.27 tff(f65245,plain,( 83.95/12.27 empty_set = difference(sF9,sF14) | ~spl19_338), 83.95/12.27 inference(resolution,[],[f65242,f59])). 83.95/12.27 tff(f65242,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,difference(sF9,sF14))) ) | ~spl19_338), 83.95/12.27 inference(subsumption_resolution,[],[f65234,f162])). 83.95/12.27 tff(f65234,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(sF9,sF14))) ) | ~spl19_338), 83.95/12.27 inference(superposition,[],[f54,f65199])). 83.95/12.27 tff(f65199,plain,( 83.95/12.27 empty_set = union(difference(sF9,sF14),empty_set) | ~spl19_338), 83.95/12.27 inference(avatar_component_clause,[],[f65198])). 83.95/12.27 tff(f65453,plain,( 83.95/12.27 spl19_339 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.27 inference(avatar_split_clause,[],[f65410,f1443,f1281,f264,f150,f98,f65451])). 83.95/12.27 tff(f65410,plain,( 83.95/12.27 empty_set = difference(sF9,sF14) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(superposition,[],[f65202,f151])). 83.95/12.27 tff(f65202,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = difference(sF9,union(sF12,X0))) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(resolution,[],[f65196,f59])). 83.95/12.27 tff(f65200,plain,( 83.95/12.27 spl19_338 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.27 inference(avatar_split_clause,[],[f65183,f1443,f1281,f264,f150,f98,f65198])). 83.95/12.27 tff(f65183,plain,( 83.95/12.27 empty_set = union(difference(sF9,sF14),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(superposition,[],[f60942,f151])). 83.95/12.27 tff(f64135,plain,( 83.95/12.27 spl19_337 | ~spl19_325), 83.95/12.27 inference(avatar_split_clause,[],[f64103,f59278,f64133])). 83.95/12.27 tff(f59278,plain,( 83.95/12.27 spl19_325 <=> empty_set = union(intersection(complement(sK5),sF9),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_325])])). 83.95/12.27 tff(f64103,plain,( 83.95/12.27 empty_set = intersection(complement(sK5),sF9) | ~spl19_325), 83.95/12.27 inference(resolution,[],[f64021,f59])). 83.95/12.27 tff(f64021,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(complement(sK5),sF9))) ) | ~spl19_325), 83.95/12.27 inference(subsumption_resolution,[],[f64011,f162])). 83.95/12.27 tff(f64011,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(complement(sK5),sF9)) | member(X0,empty_set)) ) | ~spl19_325), 83.95/12.27 inference(superposition,[],[f54,f59279])). 83.95/12.27 tff(f59279,plain,( 83.95/12.27 empty_set = union(intersection(complement(sK5),sF9),empty_set) | ~spl19_325), 83.95/12.27 inference(avatar_component_clause,[],[f59278])). 83.95/12.27 tff(f63798,plain,( 83.95/12.27 spl19_336 | ~spl19_324), 83.95/12.27 inference(avatar_split_clause,[],[f63723,f59273,f63796])). 83.95/12.27 tff(f59273,plain,( 83.95/12.27 spl19_324 <=> empty_set = union(intersection(complement(sK2),sF18),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_324])])). 83.95/12.27 tff(f63723,plain,( 83.95/12.27 empty_set = intersection(complement(sK2),sF18) | ~spl19_324), 83.95/12.27 inference(resolution,[],[f63690,f59])). 83.95/12.27 tff(f63690,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(complement(sK2),sF18))) ) | ~spl19_324), 83.95/12.27 inference(subsumption_resolution,[],[f63683,f162])). 83.95/12.27 tff(f63683,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,intersection(complement(sK2),sF18))) ) | ~spl19_324), 83.95/12.27 inference(superposition,[],[f54,f59274])). 83.95/12.27 tff(f59274,plain,( 83.95/12.27 empty_set = union(intersection(complement(sK2),sF18),empty_set) | ~spl19_324), 83.95/12.27 inference(avatar_component_clause,[],[f59273])). 83.95/12.27 tff(f63646,plain,( 83.95/12.27 spl19_335 | ~spl19_323), 83.95/12.27 inference(avatar_split_clause,[],[f63549,f59268,f63644])). 83.95/12.27 tff(f59268,plain,( 83.95/12.27 spl19_323 <=> empty_set = union(intersection(complement(sF12),sF9),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_323])])). 83.95/12.27 tff(f63549,plain,( 83.95/12.27 empty_set = intersection(complement(sF12),sF9) | ~spl19_323), 83.95/12.27 inference(resolution,[],[f63546,f59])). 83.95/12.27 tff(f63546,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(complement(sF12),sF9))) ) | ~spl19_323), 83.95/12.27 inference(subsumption_resolution,[],[f63539,f162])). 83.95/12.27 tff(f63539,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(complement(sF12),sF9)) | member(X0,empty_set)) ) | ~spl19_323), 83.95/12.27 inference(superposition,[],[f54,f59269])). 83.95/12.27 tff(f59269,plain,( 83.95/12.27 empty_set = union(intersection(complement(sF12),sF9),empty_set) | ~spl19_323), 83.95/12.27 inference(avatar_component_clause,[],[f59268])). 83.95/12.27 tff(f63312,plain,( 83.95/12.27 spl19_334 | ~spl19_322), 83.95/12.27 inference(avatar_split_clause,[],[f63280,f59238,f63310])). 83.95/12.27 tff(f59238,plain,( 83.95/12.27 spl19_322 <=> empty_set = union(intersection(complement(sF18),sK5),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_322])])). 83.95/12.27 tff(f63280,plain,( 83.95/12.27 empty_set = intersection(complement(sF18),sK5) | ~spl19_322), 83.95/12.27 inference(resolution,[],[f63238,f59])). 83.95/12.27 tff(f63238,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(complement(sF18),sK5))) ) | ~spl19_322), 83.95/12.27 inference(subsumption_resolution,[],[f63230,f162])). 83.95/12.27 tff(f63230,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(complement(sF18),sK5)) | member(X0,empty_set)) ) | ~spl19_322), 83.95/12.27 inference(superposition,[],[f54,f59239])). 83.95/12.27 tff(f59239,plain,( 83.95/12.27 empty_set = union(intersection(complement(sF18),sK5),empty_set) | ~spl19_322), 83.95/12.27 inference(avatar_component_clause,[],[f59238])). 83.95/12.27 tff(f63216,plain,( 83.95/12.27 spl19_333 | ~spl19_20 | ~spl19_321), 83.95/12.27 inference(avatar_split_clause,[],[f63146,f59215,f181,f63214])). 83.95/12.27 tff(f63214,plain,( 83.95/12.27 spl19_333 <=> 0 = cardinality(intersection(complement(sF14),sF12))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_333])])). 83.95/12.27 tff(f63146,plain,( 83.95/12.27 0 = cardinality(intersection(complement(sF14),sF12)) | (~spl19_20 | ~spl19_321)), 83.95/12.27 inference(forward_demodulation,[],[f63136,f182])). 83.95/12.27 tff(f63136,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(intersection(complement(sF14),sF12)) | (~spl19_20 | ~spl19_321)), 83.95/12.27 inference(superposition,[],[f6110,f59216])). 83.95/12.27 tff(f62826,plain,( 83.95/12.27 spl19_332 | ~spl19_320), 83.95/12.27 inference(avatar_split_clause,[],[f62728,f59169,f62824])). 83.95/12.27 tff(f59169,plain,( 83.95/12.27 spl19_320 <=> empty_set = union(intersection(complement(sF8),sF9),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_320])])). 83.95/12.27 tff(f62728,plain,( 83.95/12.27 empty_set = intersection(complement(sF8),sF9) | ~spl19_320), 83.95/12.27 inference(resolution,[],[f62725,f59])). 83.95/12.27 tff(f62725,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,intersection(complement(sF8),sF9))) ) | ~spl19_320), 83.95/12.27 inference(subsumption_resolution,[],[f62718,f162])). 83.95/12.27 tff(f62718,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,intersection(complement(sF8),sF9))) ) | ~spl19_320), 83.95/12.27 inference(superposition,[],[f54,f59170])). 83.95/12.27 tff(f59170,plain,( 83.95/12.27 empty_set = union(intersection(complement(sF8),sF9),empty_set) | ~spl19_320), 83.95/12.27 inference(avatar_component_clause,[],[f59169])). 83.95/12.27 tff(f62197,plain,( 83.95/12.27 spl19_331 | ~spl19_319), 83.95/12.27 inference(avatar_split_clause,[],[f62167,f59165,f62195])). 83.95/12.27 tff(f62167,plain,( 83.95/12.27 empty_set = intersection(sF9,complement(sF8)) | ~spl19_319), 83.95/12.27 inference(resolution,[],[f62164,f59])). 83.95/12.27 tff(f62015,plain,( 83.95/12.27 spl19_330 | ~spl19_318), 83.95/12.27 inference(avatar_split_clause,[],[f61876,f59161,f62013])). 83.95/12.27 tff(f61876,plain,( 83.95/12.27 empty_set = intersection(sF9,complement(sK5)) | ~spl19_318), 83.95/12.27 inference(resolution,[],[f61610,f59])). 83.95/12.27 tff(f61558,plain,( 83.95/12.27 spl19_329 | ~spl19_20 | ~spl19_317), 83.95/12.27 inference(avatar_split_clause,[],[f61523,f59057,f181,f61556])). 83.95/12.27 tff(f61556,plain,( 83.95/12.27 spl19_329 <=> 0 = cardinality(intersection(sF12,complement(sF14)))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_329])])). 83.95/12.27 tff(f61523,plain,( 83.95/12.27 0 = cardinality(intersection(sF12,complement(sF14))) | (~spl19_20 | ~spl19_317)), 83.95/12.27 inference(forward_demodulation,[],[f61514,f182])). 83.95/12.27 tff(f61514,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(intersection(sF12,complement(sF14))) | (~spl19_20 | ~spl19_317)), 83.95/12.27 inference(superposition,[],[f6110,f59058])). 83.95/12.27 tff(f61081,plain,( 83.95/12.27 spl19_328 | ~spl19_316), 83.95/12.27 inference(avatar_split_clause,[],[f61054,f59051,f61079])). 83.95/12.27 tff(f61054,plain,( 83.95/12.27 empty_set = intersection(sK5,complement(sF18)) | ~spl19_316), 83.95/12.27 inference(resolution,[],[f61051,f59])). 83.95/12.27 tff(f59892,plain,( 83.95/12.27 spl19_327 | ~spl19_315), 83.95/12.27 inference(avatar_split_clause,[],[f59853,f58997,f59890])). 83.95/12.27 tff(f59853,plain,( 83.95/12.27 empty_set = intersection(sF18,complement(sK2)) | ~spl19_315), 83.95/12.27 inference(resolution,[],[f59771,f59])). 83.95/12.27 tff(f59581,plain,( 83.95/12.27 spl19_326 | ~spl19_314), 83.95/12.27 inference(avatar_split_clause,[],[f59559,f58993,f59579])). 83.95/12.27 tff(f59559,plain,( 83.95/12.27 empty_set = intersection(sF9,complement(sF12)) | ~spl19_314), 83.95/12.27 inference(resolution,[],[f59557,f59])). 83.95/12.27 tff(f59280,plain,( 83.95/12.27 spl19_325 | ~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f59098,f1281,f264,f106,f98,f59278])). 83.95/12.27 tff(f59098,plain,( 83.95/12.27 empty_set = union(intersection(complement(sK5),sF9),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59063])). 83.95/12.27 tff(f59063,plain,( 83.95/12.27 empty_set = union(intersection(complement(sK5),sF9),empty_set) | empty_set = union(intersection(complement(sK5),sF9),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54250,f54213])). 83.95/12.27 tff(f54213,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF9),empty_set)),sK5) | empty_set = union(intersection(X0,sF9),empty_set)) ) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53898,f271])). 83.95/12.27 tff(f59275,plain,( 83.95/12.27 spl19_324 | ~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f59097,f1281,f264,f114,f98,f59273])). 83.95/12.27 tff(f59097,plain,( 83.95/12.27 empty_set = union(intersection(complement(sK2),sF18),empty_set) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59062])). 83.95/12.27 tff(f59062,plain,( 83.95/12.27 empty_set = union(intersection(complement(sK2),sF18),empty_set) | empty_set = union(intersection(complement(sK2),sF18),empty_set) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54250,f54229])). 83.95/12.27 tff(f54229,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF18),empty_set)),sK2) | empty_set = union(intersection(X0,sF18),empty_set)) ) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53898,f272])). 83.95/12.27 tff(f59270,plain,( 83.95/12.27 spl19_323 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.27 inference(avatar_split_clause,[],[f59093,f1443,f1281,f264,f98,f59268])). 83.95/12.27 tff(f59093,plain,( 83.95/12.27 empty_set = union(intersection(complement(sF12),sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59065])). 83.95/12.27 tff(f59065,plain,( 83.95/12.27 empty_set = union(intersection(complement(sF12),sF9),empty_set) | empty_set = union(intersection(complement(sF12),sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(resolution,[],[f54250,f54212])). 83.95/12.27 tff(f59240,plain,( 83.95/12.27 spl19_322 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f59091,f1281,f264,f158,f98,f59238])). 83.95/12.27 tff(f59091,plain,( 83.95/12.27 empty_set = union(intersection(complement(sF18),sK5),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59067])). 83.95/12.27 tff(f59067,plain,( 83.95/12.27 empty_set = union(intersection(complement(sF18),sK5),empty_set) | empty_set = union(intersection(complement(sF18),sK5),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54250,f54209])). 83.95/12.27 tff(f59217,plain,( 83.95/12.27 spl19_321 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f59090,f1281,f264,f150,f98,f59215])). 83.95/12.27 tff(f59090,plain,( 83.95/12.27 empty_set = union(intersection(complement(sF14),sF12),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59066])). 83.95/12.27 tff(f59066,plain,( 83.95/12.27 empty_set = union(intersection(complement(sF14),sF12),empty_set) | empty_set = union(intersection(complement(sF14),sF12),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54250,f54221])). 83.95/12.27 tff(f59171,plain,( 83.95/12.27 spl19_320 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64), 83.95/12.27 inference(avatar_split_clause,[],[f59088,f1429,f1281,f264,f98,f59169])). 83.95/12.27 tff(f59088,plain,( 83.95/12.27 empty_set = union(intersection(complement(sF8),sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.27 inference(duplicate_literal_removal,[],[f59064])). 83.95/12.27 tff(f59064,plain,( 83.95/12.27 empty_set = union(intersection(complement(sF8),sF9),empty_set) | empty_set = union(intersection(complement(sF8),sF9),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.27 inference(resolution,[],[f54250,f54216])). 83.95/12.27 tff(f54216,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(union(intersection(X0,sF9),empty_set)),sF8) | empty_set = union(intersection(X0,sF9),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.27 inference(resolution,[],[f53898,f2677])). 83.95/12.27 tff(f59167,plain,( 83.95/12.27 spl19_319 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64), 83.95/12.27 inference(avatar_split_clause,[],[f58941,f1429,f1281,f264,f98,f59165])). 83.95/12.27 tff(f58941,plain,( 83.95/12.27 empty_set = union(intersection(sF9,complement(sF8)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.27 inference(duplicate_literal_removal,[],[f58908])). 83.95/12.27 tff(f58908,plain,( 83.95/12.27 empty_set = union(intersection(sF9,complement(sF8)),empty_set) | empty_set = union(intersection(sF9,complement(sF8)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.27 inference(resolution,[],[f54208,f54258])). 83.95/12.27 tff(f54258,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(union(intersection(sF9,X0),empty_set)),sF8) | empty_set = union(intersection(sF9,X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.27 inference(resolution,[],[f53899,f2677])). 83.95/12.27 tff(f59163,plain,( 83.95/12.27 spl19_318 | ~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f58940,f1281,f264,f106,f98,f59161])). 83.95/12.27 tff(f58940,plain,( 83.95/12.27 empty_set = union(intersection(sF9,complement(sK5)),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f58907])). 83.95/12.27 tff(f58907,plain,( 83.95/12.27 empty_set = union(intersection(sF9,complement(sK5)),empty_set) | empty_set = union(intersection(sF9,complement(sK5)),empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54208,f54255])). 83.95/12.27 tff(f54255,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(union(intersection(sF9,X0),empty_set)),sK5) | empty_set = union(intersection(sF9,X0),empty_set)) ) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53899,f271])). 83.95/12.27 tff(f59059,plain,( 83.95/12.27 spl19_317 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f58938,f1281,f264,f150,f98,f59057])). 83.95/12.27 tff(f58938,plain,( 83.95/12.27 empty_set = union(intersection(sF12,complement(sF14)),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f58910])). 83.95/12.27 tff(f58910,plain,( 83.95/12.27 empty_set = union(intersection(sF12,complement(sF14)),empty_set) | empty_set = union(intersection(sF12,complement(sF14)),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54208,f54263])). 83.95/12.27 tff(f59053,plain,( 83.95/12.27 spl19_316 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f58936,f1281,f264,f158,f98,f59051])). 83.95/12.27 tff(f58936,plain,( 83.95/12.27 empty_set = union(intersection(sK5,complement(sF18)),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f58911])). 83.95/12.27 tff(f58911,plain,( 83.95/12.27 empty_set = union(intersection(sK5,complement(sF18)),empty_set) | empty_set = union(intersection(sK5,complement(sF18)),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54208,f54251])). 83.95/12.27 tff(f58999,plain,( 83.95/12.27 spl19_315 | ~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f58934,f1281,f264,f114,f98,f58997])). 83.95/12.27 tff(f58934,plain,( 83.95/12.27 empty_set = union(intersection(sF18,complement(sK2)),empty_set) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f58906])). 83.95/12.27 tff(f58906,plain,( 83.95/12.27 empty_set = union(intersection(sF18,complement(sK2)),empty_set) | empty_set = union(intersection(sF18,complement(sK2)),empty_set) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54208,f54271])). 83.95/12.27 tff(f54271,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(union(intersection(sF18,X0),empty_set)),sK2) | empty_set = union(intersection(sF18,X0),empty_set)) ) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53899,f272])). 83.95/12.27 tff(f58995,plain,( 83.95/12.27 spl19_314 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.27 inference(avatar_split_clause,[],[f58933,f1443,f1281,f264,f98,f58993])). 83.95/12.27 tff(f58933,plain,( 83.95/12.27 empty_set = union(intersection(sF9,complement(sF12)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(duplicate_literal_removal,[],[f58909])). 83.95/12.27 tff(f58909,plain,( 83.95/12.27 empty_set = union(intersection(sF9,complement(sF12)),empty_set) | empty_set = union(intersection(sF9,complement(sF12)),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(resolution,[],[f54208,f54254])). 83.95/12.27 tff(f57844,plain,( 83.95/12.27 spl19_313 | ~spl19_20 | ~spl19_303), 83.95/12.27 inference(avatar_split_clause,[],[f57811,f57250,f181,f57842])). 83.95/12.27 tff(f57842,plain,( 83.95/12.27 spl19_313 <=> 0 = cardinality(difference(sF13,sF14))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_313])])). 83.95/12.27 tff(f57811,plain,( 83.95/12.27 0 = cardinality(difference(sF13,sF14)) | (~spl19_20 | ~spl19_303)), 83.95/12.27 inference(forward_demodulation,[],[f57806,f182])). 83.95/12.27 tff(f57806,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(sF13,sF14)) | (~spl19_20 | ~spl19_303)), 83.95/12.27 inference(superposition,[],[f6110,f57251])). 83.95/12.27 tff(f57794,plain,( 83.95/12.27 spl19_53 | spl19_312 | ~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56655,f1281,f264,f150,f122,f98,f57792,f567])). 83.95/12.27 tff(f56655,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF12),empty_set) | member(sK6,sF14) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56648])). 83.95/12.27 tff(f56648,plain,( 83.95/12.27 member(sK6,sF14) | empty_set = union(intersection(sF11,sF12),empty_set) | empty_set = union(intersection(sF11,sF12),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54221,f54262])). 83.95/12.27 tff(f57790,plain,( 83.95/12.27 spl19_311 | ~spl19_20 | ~spl19_302), 83.95/12.27 inference(avatar_split_clause,[],[f57785,f57203,f181,f57788])). 83.95/12.27 tff(f57788,plain,( 83.95/12.27 spl19_311 <=> 0 = cardinality(difference(sF12,sF14))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_311])])). 83.95/12.27 tff(f57785,plain,( 83.95/12.27 0 = cardinality(difference(sF12,sF14)) | (~spl19_20 | ~spl19_302)), 83.95/12.27 inference(forward_demodulation,[],[f57780,f182])). 83.95/12.27 tff(f57780,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(sF12,sF14)) | (~spl19_20 | ~spl19_302)), 83.95/12.27 inference(superposition,[],[f6110,f57204])). 83.95/12.27 tff(f57766,plain,( 83.95/12.27 spl19_310 | ~spl19_20 | ~spl19_296), 83.95/12.27 inference(avatar_split_clause,[],[f57762,f57071,f181,f57764])). 83.95/12.27 tff(f57762,plain,( 83.95/12.27 0 = cardinality(intersection(sF13,sF11)) | (~spl19_20 | ~spl19_296)), 83.95/12.27 inference(forward_demodulation,[],[f57756,f182])). 83.95/12.27 tff(f57756,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(intersection(sF13,sF11)) | (~spl19_20 | ~spl19_296)), 83.95/12.27 inference(superposition,[],[f6110,f57072])). 83.95/12.27 tff(f57699,plain,( 83.95/12.27 spl19_280 | spl19_296 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56485,f1281,f264,f126,f122,f98,f57071,f56130])). 83.95/12.27 tff(f56485,plain,( 83.95/12.27 sK6 = sK7 | empty_set = union(intersection(sF13,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56468])). 83.95/12.27 tff(f56468,plain,( 83.95/12.27 empty_set = union(intersection(sF13,sF11),empty_set) | sK6 = sK7 | empty_set = union(intersection(sF13,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54267,f54220])). 83.95/12.27 tff(f57694,plain,( 83.95/12.27 spl19_309 | ~spl19_20 | ~spl19_295), 83.95/12.27 inference(avatar_split_clause,[],[f57688,f57065,f181,f57692])). 83.95/12.27 tff(f57688,plain,( 83.95/12.27 0 = cardinality(intersection(sF13,sF8)) | (~spl19_20 | ~spl19_295)), 83.95/12.27 inference(forward_demodulation,[],[f57682,f182])). 83.95/12.27 tff(f57682,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(intersection(sF13,sF8)) | (~spl19_20 | ~spl19_295)), 83.95/12.27 inference(superposition,[],[f6110,f57066])). 83.95/12.27 tff(f57666,plain,( 83.95/12.27 spl19_308 | ~spl19_20 | ~spl19_294), 83.95/12.27 inference(avatar_split_clause,[],[f57627,f57035,f181,f57664])). 83.95/12.27 tff(f57664,plain,( 83.95/12.27 spl19_308 <=> 0 = cardinality(difference(sF11,sF12))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_308])])). 83.95/12.27 tff(f57627,plain,( 83.95/12.27 0 = cardinality(difference(sF11,sF12)) | (~spl19_20 | ~spl19_294)), 83.95/12.27 inference(forward_demodulation,[],[f57621,f182])). 83.95/12.27 tff(f57621,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(difference(sF11,sF12)) | (~spl19_20 | ~spl19_294)), 83.95/12.27 inference(superposition,[],[f6110,f57036])). 83.95/12.27 tff(f57600,plain,( 83.95/12.27 spl19_307 | ~spl19_293), 83.95/12.27 inference(avatar_split_clause,[],[f57526,f57031,f57598])). 83.95/12.27 tff(f57031,plain,( 83.95/12.27 spl19_293 <=> empty_set = union(difference(sF11,sF18),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_293])])). 83.95/12.27 tff(f57526,plain,( 83.95/12.27 empty_set = difference(sF11,sF18) | ~spl19_293), 83.95/12.27 inference(resolution,[],[f57521,f59])). 83.95/12.27 tff(f57521,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,difference(sF11,sF18))) ) | ~spl19_293), 83.95/12.27 inference(subsumption_resolution,[],[f57519,f162])). 83.95/12.27 tff(f57519,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(sF11,sF18))) ) | ~spl19_293), 83.95/12.27 inference(superposition,[],[f54,f57032])). 83.95/12.27 tff(f57032,plain,( 83.95/12.27 empty_set = union(difference(sF11,sF18),empty_set) | ~spl19_293), 83.95/12.27 inference(avatar_component_clause,[],[f57031])). 83.95/12.27 tff(f57499,plain,( 83.95/12.27 spl19_306 | ~spl19_291), 83.95/12.27 inference(avatar_split_clause,[],[f57480,f57003,f57497])). 83.95/12.27 tff(f57003,plain,( 83.95/12.27 spl19_291 <=> empty_set = union(difference(sF9,sF8),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_291])])). 83.95/12.27 tff(f57480,plain,( 83.95/12.27 empty_set = difference(sF9,sF8) | ~spl19_291), 83.95/12.27 inference(resolution,[],[f57467,f59])). 83.95/12.27 tff(f57467,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,difference(sF9,sF8))) ) | ~spl19_291), 83.95/12.27 inference(subsumption_resolution,[],[f57465,f162])). 83.95/12.27 tff(f57465,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(sF9,sF8))) ) | ~spl19_291), 83.95/12.27 inference(superposition,[],[f54,f57004])). 83.95/12.27 tff(f57004,plain,( 83.95/12.27 empty_set = union(difference(sF9,sF8),empty_set) | ~spl19_291), 83.95/12.27 inference(avatar_component_clause,[],[f57003])). 83.95/12.27 tff(f57324,plain,( 83.95/12.27 spl19_305 | ~spl19_287), 83.95/12.27 inference(avatar_split_clause,[],[f57276,f56810,f57322])). 83.95/12.27 tff(f56810,plain,( 83.95/12.27 spl19_287 <=> empty_set = union(difference(sF9,sF12),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_287])])). 83.95/12.27 tff(f57276,plain,( 83.95/12.27 empty_set = difference(sF9,sF12) | ~spl19_287), 83.95/12.27 inference(resolution,[],[f57272,f59])). 83.95/12.27 tff(f57272,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,difference(sF9,sF12))) ) | ~spl19_287), 83.95/12.27 inference(subsumption_resolution,[],[f57269,f162])). 83.95/12.27 tff(f57269,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(sF9,sF12))) ) | ~spl19_287), 83.95/12.27 inference(superposition,[],[f54,f56811])). 83.95/12.27 tff(f56811,plain,( 83.95/12.27 empty_set = union(difference(sF9,sF12),empty_set) | ~spl19_287), 83.95/12.27 inference(avatar_component_clause,[],[f56810])). 83.95/12.27 tff(f57258,plain,( 83.95/12.27 spl19_304 | ~spl19_286), 83.95/12.27 inference(avatar_split_clause,[],[f57237,f56494,f57256])). 83.95/12.27 tff(f57256,plain,( 83.95/12.27 spl19_304 <=> empty_set = difference(sF8,sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_304])])). 83.95/12.27 tff(f56494,plain,( 83.95/12.27 spl19_286 <=> empty_set = union(difference(sF8,sF9),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_286])])). 83.95/12.27 tff(f57237,plain,( 83.95/12.27 empty_set = difference(sF8,sF9) | ~spl19_286), 83.95/12.27 inference(resolution,[],[f57211,f59])). 83.95/12.27 tff(f57211,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,difference(sF8,sF9))) ) | ~spl19_286), 83.95/12.27 inference(subsumption_resolution,[],[f57209,f162])). 83.95/12.27 tff(f57209,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,difference(sF8,sF9)) | member(X0,empty_set)) ) | ~spl19_286), 83.95/12.27 inference(superposition,[],[f54,f56495])). 83.95/12.27 tff(f56495,plain,( 83.95/12.27 empty_set = union(difference(sF8,sF9),empty_set) | ~spl19_286), 83.95/12.27 inference(avatar_component_clause,[],[f56494])). 83.95/12.27 tff(f57252,plain,( 83.95/12.27 spl19_303 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f57221,f1281,f264,f150,f98,f57250])). 83.95/12.27 tff(f57221,plain,( 83.95/12.27 empty_set = union(difference(sF13,sF14),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f57217])). 83.95/12.27 tff(f57217,plain,( 83.95/12.27 empty_set = union(difference(sF13,sF14),empty_set) | empty_set = union(difference(sF13,sF14),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54325,f53901])). 83.95/12.27 tff(f54325,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(union(difference(sF13,X0),empty_set)),sF14) | empty_set = union(difference(sF13,X0),empty_set)) ) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53902,f239])). 83.95/12.27 tff(f57205,plain,( 83.95/12.27 spl19_302 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f57197,f1281,f264,f150,f98,f57203])). 83.95/12.27 tff(f57197,plain,( 83.95/12.27 empty_set = union(difference(sF12,sF14),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f57193])). 83.95/12.27 tff(f57193,plain,( 83.95/12.27 empty_set = union(difference(sF12,sF14),empty_set) | empty_set = union(difference(sF12,sF14),empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54322,f53901])). 83.95/12.27 tff(f57172,plain,( 83.95/12.27 spl19_301 | ~spl19_285), 83.95/12.27 inference(avatar_split_clause,[],[f57155,f56411,f57170])). 83.95/12.27 tff(f57170,plain,( 83.95/12.27 spl19_301 <=> empty_set = difference(sK5,sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_301])])). 83.95/12.27 tff(f56411,plain,( 83.95/12.27 spl19_285 <=> empty_set = union(difference(sK5,sF18),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_285])])). 83.95/12.27 tff(f57155,plain,( 83.95/12.27 empty_set = difference(sK5,sF18) | ~spl19_285), 83.95/12.27 inference(resolution,[],[f57137,f59])). 83.95/12.27 tff(f57137,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,difference(sK5,sF18))) ) | ~spl19_285), 83.95/12.27 inference(subsumption_resolution,[],[f57134,f162])). 83.95/12.27 tff(f57134,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,difference(sK5,sF18))) ) | ~spl19_285), 83.95/12.27 inference(superposition,[],[f54,f56412])). 83.95/12.27 tff(f56412,plain,( 83.95/12.27 empty_set = union(difference(sK5,sF18),empty_set) | ~spl19_285), 83.95/12.27 inference(avatar_component_clause,[],[f56411])). 83.95/12.27 tff(f57130,plain,( 83.95/12.27 spl19_280 | spl19_296 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56479,f1281,f264,f126,f122,f98,f57071,f56130])). 83.95/12.27 tff(f56479,plain,( 83.95/12.27 empty_set = union(intersection(sF13,sF11),empty_set) | sK6 = sK7 | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56459])). 83.95/12.27 tff(f56459,plain,( 83.95/12.27 sK6 = sK7 | empty_set = union(intersection(sF13,sF11),empty_set) | empty_set = union(intersection(sF13,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54220,f54267])). 83.95/12.27 tff(f57117,plain,( 83.95/12.27 spl19_300 | spl19_53 | ~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56478,f1281,f264,f150,f122,f98,f567,f57115])). 83.95/12.27 tff(f56478,plain,( 83.95/12.27 empty_set = union(intersection(sF12,sF11),empty_set) | member(sK6,sF14) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56467])). 83.95/12.27 tff(f56467,plain,( 83.95/12.27 empty_set = union(intersection(sF12,sF11),empty_set) | empty_set = union(intersection(sF12,sF11),empty_set) | member(sK6,sF14) | (~spl19_3 | ~spl19_9 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54263,f54220])). 83.95/12.27 tff(f57113,plain,( 83.95/12.27 spl19_299 | ~spl19_20 | ~spl19_284), 83.95/12.27 inference(avatar_split_clause,[],[f57109,f56320,f181,f57111])). 83.95/12.27 tff(f57109,plain,( 83.95/12.27 0 = cardinality(intersection(sF11,sF8)) | (~spl19_20 | ~spl19_284)), 83.95/12.27 inference(forward_demodulation,[],[f57103,f182])). 83.95/12.27 tff(f57103,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(intersection(sF11,sF8)) | (~spl19_20 | ~spl19_284)), 83.95/12.27 inference(superposition,[],[f6110,f56321])). 83.95/12.27 tff(f57100,plain,( 83.95/12.27 spl19_298 | spl19_45 | ~spl19_3 | ~spl19_9 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f57083,f1281,f264,f158,f122,f98,f513,f57098])). 83.95/12.27 tff(f57098,plain,( 83.95/12.27 spl19_298 <=> ! [X0 : set] : empty_set = union(difference(sF11,X0),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_298])])). 83.95/12.27 tff(f57083,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK6,sF18) | empty_set = union(difference(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(backward_subsumption_demodulation,[],[f54319,f54321])). 83.95/12.27 tff(f57078,plain,( 83.95/12.27 spl19_297 | spl19_45 | ~spl19_3 | ~spl19_9 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56476,f1281,f264,f158,f122,f98,f513,f57076])). 83.95/12.27 tff(f57076,plain,( 83.95/12.27 spl19_297 <=> empty_set = union(intersection(sK5,sF11),empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_297])])). 83.95/12.27 tff(f56476,plain,( 83.95/12.27 member(sK6,sF18) | empty_set = union(intersection(sK5,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56462])). 83.95/12.27 tff(f56462,plain,( 83.95/12.27 empty_set = union(intersection(sK5,sF11),empty_set) | empty_set = union(intersection(sK5,sF11),empty_set) | member(sK6,sF18) | (~spl19_3 | ~spl19_9 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54251,f54220])). 83.95/12.27 tff(f57074,plain,( 83.95/12.27 spl19_296 | spl19_280 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56362,f1281,f264,f126,f122,f98,f56130,f57071])). 83.95/12.27 tff(f56362,plain,( 83.95/12.27 empty_set = union(intersection(sF13,sF11),empty_set) | sK6 = sK7 | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56342])). 83.95/12.27 tff(f56342,plain,( 83.95/12.27 empty_set = union(intersection(sF13,sF11),empty_set) | sK6 = sK7 | empty_set = union(intersection(sF13,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54220,f54267])). 83.95/12.27 tff(f57073,plain,( 83.95/12.27 spl19_280 | spl19_296 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56360,f1281,f264,f126,f122,f98,f57071,f56130])). 83.95/12.27 tff(f56360,plain,( 83.95/12.27 sK6 = sK7 | empty_set = union(intersection(sF13,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56334])). 83.95/12.27 tff(f56334,plain,( 83.95/12.27 sK6 = sK7 | empty_set = union(intersection(sF13,sF11),empty_set) | empty_set = union(intersection(sF13,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54267,f54220])). 83.95/12.27 tff(f57068,plain,( 83.95/12.27 spl19_295 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56358,f1281,f264,f126,f118,f98,f55655,f57065])). 83.95/12.27 tff(f56358,plain,( 83.95/12.27 sK1 = sK7 | empty_set = union(intersection(sF13,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56333])). 83.95/12.27 tff(f56333,plain,( 83.95/12.27 sK1 = sK7 | empty_set = union(intersection(sF13,sF8),empty_set) | empty_set = union(intersection(sF13,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54267,f54211])). 83.95/12.27 tff(f57067,plain,( 83.95/12.27 spl19_295 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56355,f1281,f264,f126,f118,f98,f55655,f57065])). 83.95/12.27 tff(f56355,plain,( 83.95/12.27 empty_set = union(intersection(sF13,sF8),empty_set) | sK1 = sK7 | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56338])). 83.95/12.27 tff(f56338,plain,( 83.95/12.27 empty_set = union(intersection(sF13,sF8),empty_set) | sK1 = sK7 | empty_set = union(intersection(sF13,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54211,f54267])). 83.95/12.27 tff(f57037,plain,( 83.95/12.27 spl19_294 | ~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f57018,f1281,f264,f146,f98,f57035])). 83.95/12.27 tff(f57018,plain,( 83.95/12.27 empty_set = union(difference(sF11,sF12),empty_set) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f57013])). 83.95/12.27 tff(f57013,plain,( 83.95/12.27 empty_set = union(difference(sF11,sF12),empty_set) | empty_set = union(difference(sF11,sF12),empty_set) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54320,f53901])). 83.95/12.27 tff(f57033,plain,( 83.95/12.27 spl19_293 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f57012,f1281,f264,f158,f98,f57031])). 83.95/12.27 tff(f57012,plain,( 83.95/12.27 empty_set = union(difference(sF11,sF18),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f57006])). 83.95/12.27 tff(f57006,plain,( 83.95/12.27 empty_set = union(difference(sF11,sF18),empty_set) | empty_set = union(difference(sF11,sF18),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54319,f53901])). 83.95/12.27 tff(f57029,plain,( 83.95/12.27 spl19_292 | ~spl19_8 | ~spl19_262), 83.95/12.27 inference(avatar_split_clause,[],[f56795,f55404,f118,f57027])). 83.95/12.27 tff(f55404,plain,( 83.95/12.27 spl19_262 <=> member(sK0(union(sF12,empty_set)),sF8)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_262])])). 83.95/12.27 tff(f56795,plain,( 83.95/12.27 sK1 = sK0(union(sF12,empty_set)) | (~spl19_8 | ~spl19_262)), 83.95/12.27 inference(resolution,[],[f55405,f204])). 83.95/12.27 tff(f55405,plain,( 83.95/12.27 member(sK0(union(sF12,empty_set)),sF8) | ~spl19_262), 83.95/12.27 inference(avatar_component_clause,[],[f55404])). 83.95/12.27 tff(f57005,plain,( 83.95/12.27 spl19_291 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64), 83.95/12.27 inference(avatar_split_clause,[],[f57001,f1429,f1281,f264,f98,f57003])). 83.95/12.27 tff(f57001,plain,( 83.95/12.27 empty_set = union(difference(sF9,sF8),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56992])). 83.95/12.27 tff(f56992,plain,( 83.95/12.27 empty_set = union(difference(sF9,sF8),empty_set) | empty_set = union(difference(sF9,sF8),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.27 inference(resolution,[],[f54317,f53901])). 83.95/12.27 tff(f56991,plain,( 83.95/12.27 spl19_232 | spl19_271 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_152), 83.95/12.27 inference(avatar_split_clause,[],[f56985,f52430,f1281,f264,f126,f122,f98,f55520,f54660])). 83.95/12.27 tff(f52430,plain,( 83.95/12.27 spl19_152 <=> member(sK6,sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_152])])). 83.95/12.27 tff(f56985,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK7,sF11) | member(X0,complement(empty_set))) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_152)), 83.95/12.27 inference(subsumption_resolution,[],[f56962,f52431])). 83.95/12.27 tff(f52431,plain,( 83.95/12.27 ~member(sK6,sF13) | spl19_152), 83.95/12.27 inference(avatar_component_clause,[],[f52430])). 83.95/12.27 tff(f56962,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK7,sF11) | member(X0,complement(empty_set)) | member(sK6,sF13)) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55232,f56908])). 83.95/12.27 tff(f56908,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(sF13,X0) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f56906,f59])). 83.95/12.27 tff(f56906,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(sF13,X0)) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f56902,f162])). 83.95/12.27 tff(f56902,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(sF13,X0)) | member(X1,empty_set) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f56353])). 83.95/12.27 tff(f56353,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(intersection(sF13,X0),empty_set) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56336])). 83.95/12.27 tff(f56336,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(intersection(sF13,X0),empty_set) | empty_set = union(intersection(sF13,X0),empty_set) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f53898,f54267])). 83.95/12.27 tff(f56990,plain,( 83.95/12.27 spl19_232 | spl19_268 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_150), 83.95/12.27 inference(avatar_split_clause,[],[f56983,f52379,f1281,f264,f126,f118,f98,f55510,f54660])). 83.95/12.27 tff(f56983,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK7,sF8) | member(X0,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_150)), 83.95/12.27 inference(subsumption_resolution,[],[f56956,f52380])). 83.95/12.27 tff(f56956,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK7,sF8) | member(sK1,sF13) | member(X0,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54643,f56908])). 83.95/12.27 tff(f56989,plain,( 83.95/12.27 spl19_290 | ~spl19_7 | ~spl19_272), 83.95/12.27 inference(avatar_split_clause,[],[f55632,f55559,f114,f56987])). 83.95/12.27 tff(f56987,plain,( 83.95/12.27 spl19_290 <=> member(sK0(union(sF12,empty_set)),sK2)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_290])])). 83.95/12.27 tff(f55559,plain,( 83.95/12.27 spl19_272 <=> member(sK0(union(sF12,empty_set)),sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_272])])). 83.95/12.27 tff(f55632,plain,( 83.95/12.27 member(sK0(union(sF12,empty_set)),sK2) | (~spl19_7 | ~spl19_272)), 83.95/12.27 inference(resolution,[],[f55560,f272])). 83.95/12.27 tff(f55560,plain,( 83.95/12.27 member(sK0(union(sF12,empty_set)),sF18) | ~spl19_272), 83.95/12.27 inference(avatar_component_clause,[],[f55559])). 83.95/12.27 tff(f56852,plain,( 83.95/12.27 ~spl19_289 | ~spl19_145 | ~spl19_272), 83.95/12.27 inference(avatar_split_clause,[],[f55630,f55559,f52201,f56850])). 83.95/12.27 tff(f56850,plain,( 83.95/12.27 spl19_289 <=> member(sK0(union(sF12,empty_set)),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_289])])). 83.95/12.27 tff(f55630,plain,( 83.95/12.27 ~member(sK0(union(sF12,empty_set)),sF13) | (~spl19_145 | ~spl19_272)), 83.95/12.27 inference(resolution,[],[f55560,f52220])). 83.95/12.27 tff(f56848,plain,( 83.95/12.27 spl19_288 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_262), 83.95/12.27 inference(avatar_split_clause,[],[f56822,f55404,f1281,f264,f118,f98,f56846])). 83.95/12.27 tff(f56846,plain,( 83.95/12.27 spl19_288 <=> member(sK1,singleton(sK0(union(sF12,empty_set))))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_288])])). 83.95/12.27 tff(f56822,plain,( 83.95/12.27 member(sK1,singleton(sK0(union(sF12,empty_set)))) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_262)), 83.95/12.27 inference(resolution,[],[f56793,f198])). 83.95/12.27 tff(f56793,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(union(sF12,empty_set)),X0) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_262)), 83.95/12.27 inference(resolution,[],[f55405,f54414])). 83.95/12.27 tff(f56812,plain,( 83.95/12.27 spl19_287 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.27 inference(avatar_split_clause,[],[f56808,f1443,f1281,f264,f98,f56810])). 83.95/12.27 tff(f56808,plain,( 83.95/12.27 empty_set = union(difference(sF9,sF12),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56800])). 83.95/12.27 tff(f56800,plain,( 83.95/12.27 empty_set = union(difference(sF9,sF12),empty_set) | empty_set = union(difference(sF9,sF12),empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(resolution,[],[f54313,f53901])). 83.95/12.27 tff(f56796,plain,( 83.95/12.27 spl19_233 | spl19_232 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56786,f1281,f264,f122,f118,f98,f54660,f54663])). 83.95/12.27 tff(f54663,plain,( 83.95/12.27 spl19_233 <=> ! [X0 : set] : member(sK1,X0)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_233])])). 83.95/12.27 tff(f56786,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f56775,f54644])). 83.95/12.27 tff(f54644,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(X0,sF8)) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54643,f58])). 83.95/12.27 tff(f56775,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK6,intersection(X0,sF8)) | member(sK1,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55232,f54416])). 83.95/12.27 tff(f54416,plain,( 83.95/12.27 ( ! [X0 : set,X1 : set] : (empty_set = intersection(intersection(X0,sF8),X1) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54412,f233])). 83.95/12.27 tff(f56792,plain,( 83.95/12.27 spl19_237 | spl19_232 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | spl19_228), 83.95/12.27 inference(avatar_split_clause,[],[f56785,f54552,f1281,f264,f122,f118,f98,f54660,f54773])). 83.95/12.27 tff(f56785,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK6,sF8) | member(X0,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | spl19_228)), 83.95/12.27 inference(subsumption_resolution,[],[f56777,f54915])). 83.95/12.27 tff(f56777,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK6,sF8) | member(X0,complement(empty_set)) | member(sK1,sF11)) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55232,f47242])). 83.95/12.27 tff(f47242,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(sF8,X0) | member(sK1,X0)) ) | ~spl19_8), 83.95/12.27 inference(duplicate_literal_removal,[],[f47230])). 83.95/12.27 tff(f47230,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(sF8,X0) | member(sK1,X0) | empty_set = intersection(sF8,X0)) ) | ~spl19_8), 83.95/12.27 inference(superposition,[],[f234,f4851])). 83.95/12.27 tff(f56788,plain,( 83.95/12.27 spl19_232 | spl19_279 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56784,f1281,f264,f126,f122,f98,f56007,f54660])). 83.95/12.27 tff(f56007,plain,( 83.95/12.27 spl19_279 <=> ! [X0 : set] : member(sK7,X0)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_279])])). 83.95/12.27 tff(f56784,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK7,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f56776,f55929])). 83.95/12.27 tff(f55929,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(X0,sF13)) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f55925,f58])). 83.95/12.27 tff(f56776,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK6,intersection(X0,sF13)) | member(sK7,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55232,f55347])). 83.95/12.27 tff(f55347,plain,( 83.95/12.27 ( ! [X0 : set,X1 : set] : (empty_set = intersection(intersection(X0,sF13),X1) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f55341,f233])). 83.95/12.27 tff(f56787,plain,( 83.95/12.27 spl19_259 | spl19_232 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56781,f1281,f264,f122,f98,f54660,f55280])). 83.95/12.27 tff(f55280,plain,( 83.95/12.27 spl19_259 <=> ! [X0 : set] : member(sK6,X0)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_259])])). 83.95/12.27 tff(f56781,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK6,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56773])). 83.95/12.27 tff(f56773,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK6,X0) | member(X1,complement(empty_set)) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55232,f55018])). 83.95/12.27 tff(f55018,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(X0,sF11) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f55006,f59])). 83.95/12.27 tff(f56631,plain,( 83.95/12.27 spl19_271 | spl19_232 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_152), 83.95/12.27 inference(avatar_split_clause,[],[f56625,f52430,f1281,f264,f126,f122,f98,f54660,f55520])). 83.95/12.27 tff(f56625,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK7,sF11) | member(X0,complement(empty_set))) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_152)), 83.95/12.27 inference(subsumption_resolution,[],[f56617,f52431])). 83.95/12.27 tff(f56617,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK7,sF11) | member(X0,complement(empty_set)) | member(sK6,sF13)) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55925,f56498])). 83.95/12.27 tff(f56498,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(sF11,X0) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f56213,f59])). 83.95/12.27 tff(f56213,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(sF11,X0)) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f56209,f162])). 83.95/12.27 tff(f56209,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,intersection(sF11,X0)) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54,f55988])). 83.95/12.27 tff(f55988,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = union(intersection(sF11,X0),empty_set) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55968])). 83.95/12.27 tff(f55968,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK6,X0) | empty_set = union(intersection(sF11,X0),empty_set) | empty_set = union(intersection(sF11,X0),empty_set)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f53898,f54262])). 83.95/12.27 tff(f56627,plain,( 83.95/12.27 spl19_199 | spl19_201 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56524,f1281,f264,f122,f98,f54006,f53974])). 83.95/12.27 tff(f53974,plain,( 83.95/12.27 spl19_199 <=> empty_set = union(sF11,empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_199])])). 83.95/12.27 tff(f54006,plain,( 83.95/12.27 spl19_201 <=> sK6 = sK0(union(sF11,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_201])])). 83.95/12.27 tff(f56524,plain,( 83.95/12.27 sK6 = sK0(union(sF11,empty_set)) | empty_set = union(sF11,empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f53897,f123])). 83.95/12.27 tff(f53897,plain,( 83.95/12.27 ( ! [X0 : element] : (sK0(union(singleton(X0),empty_set)) = X0 | empty_set = union(singleton(X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f52])). 83.95/12.27 tff(f56626,plain,( 83.95/12.27 spl19_232 | spl19_237 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | spl19_228), 83.95/12.27 inference(avatar_split_clause,[],[f56623,f54552,f1281,f264,f122,f118,f98,f54773,f54660])). 83.95/12.27 tff(f56623,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(empty_set)) | member(sK6,sF8)) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | spl19_228)), 83.95/12.27 inference(subsumption_resolution,[],[f56602,f54915])). 83.95/12.27 tff(f56602,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK6,sF8) | member(sK1,sF11) | member(X0,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54643,f56498])). 83.95/12.27 tff(f56496,plain,( 83.95/12.27 spl19_286 | ~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56409,f1281,f264,f138,f98,f56494])). 83.95/12.27 tff(f56409,plain,( 83.95/12.27 empty_set = union(difference(sF8,sF9),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56401])). 83.95/12.27 tff(f56401,plain,( 83.95/12.27 empty_set = union(difference(sF8,sF9),empty_set) | empty_set = union(difference(sF8,sF9),empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54311,f53901])). 83.95/12.27 tff(f56451,plain,( 83.95/12.27 ~spl19_24 | spl19_228 | ~spl19_276), 83.95/12.27 inference(avatar_contradiction_clause,[],[f56450])). 83.95/12.27 tff(f56450,plain,( 83.95/12.27 $false | (~spl19_24 | spl19_228 | ~spl19_276)), 83.95/12.27 inference(subsumption_resolution,[],[f56417,f54915])). 83.95/12.27 tff(f56417,plain,( 83.95/12.27 member(sK1,sF11) | (~spl19_24 | ~spl19_276)), 83.95/12.27 inference(backward_demodulation,[],[f213,f55679])). 83.95/12.27 tff(f55679,plain,( 83.95/12.27 sK1 = sK6 | ~spl19_276), 83.95/12.27 inference(avatar_component_clause,[],[f55678])). 83.95/12.27 tff(f56449,plain,( 83.95/12.27 spl19_4 | ~spl19_42 | ~spl19_276), 83.95/12.27 inference(avatar_contradiction_clause,[],[f56448])). 83.95/12.27 tff(f56448,plain,( 83.95/12.27 $false | (spl19_4 | ~spl19_42 | ~spl19_276)), 83.95/12.27 inference(subsumption_resolution,[],[f56414,f494])). 83.95/12.27 tff(f56414,plain,( 83.95/12.27 ~member(sK1,sK5) | (spl19_4 | ~spl19_276)), 83.95/12.27 inference(backward_demodulation,[],[f103,f55679])). 83.95/12.27 tff(f56447,plain,( 83.95/12.27 ~spl19_41 | spl19_144 | ~spl19_276), 83.95/12.27 inference(avatar_contradiction_clause,[],[f56446])). 83.95/12.27 tff(f56446,plain,( 83.95/12.27 $false | (~spl19_41 | spl19_144 | ~spl19_276)), 83.95/12.27 inference(subsumption_resolution,[],[f56427,f489])). 83.95/12.27 tff(f56427,plain,( 83.95/12.27 ~member(sK1,sF9) | (spl19_144 | ~spl19_276)), 83.95/12.27 inference(backward_demodulation,[],[f51978,f55679])). 83.95/12.27 tff(f56413,plain,( 83.95/12.27 spl19_285 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f56400,f1281,f264,f158,f98,f56411])). 83.95/12.27 tff(f56400,plain,( 83.95/12.27 empty_set = union(difference(sK5,sF18),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f56394])). 83.95/12.27 tff(f56394,plain,( 83.95/12.27 empty_set = union(difference(sK5,sF18),empty_set) | empty_set = union(difference(sK5,sF18),empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54310,f53901])). 83.95/12.27 tff(f56386,plain,( 83.95/12.27 spl19_276 | spl19_284 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55993,f1281,f264,f122,f118,f98,f56320,f55678])). 83.95/12.27 tff(f55993,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF8),empty_set) | sK1 = sK6 | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55965])). 83.95/12.27 tff(f55965,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF8),empty_set) | sK1 = sK6 | empty_set = union(intersection(sF11,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54262,f54211])). 83.95/12.27 tff(f56322,plain,( 83.95/12.27 spl19_276 | spl19_284 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55991,f1281,f264,f122,f118,f98,f56320,f55678])). 83.95/12.27 tff(f55991,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF8),empty_set) | sK1 = sK6 | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55970])). 83.95/12.27 tff(f55970,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF8),empty_set) | sK1 = sK6 | empty_set = union(intersection(sF11,sF8),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54211,f54262])). 83.95/12.27 tff(f56227,plain,( 83.95/12.27 spl19_283 | ~spl19_20 | ~spl19_277), 83.95/12.27 inference(avatar_split_clause,[],[f56222,f55877,f181,f56225])). 83.95/12.27 tff(f56225,plain,( 83.95/12.27 spl19_283 <=> 0 = cardinality(intersection(sF11,sF13))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_283])])). 83.95/12.27 tff(f56222,plain,( 83.95/12.27 0 = cardinality(intersection(sF11,sF13)) | (~spl19_20 | ~spl19_277)), 83.95/12.27 inference(forward_demodulation,[],[f56217,f182])). 83.95/12.27 tff(f56217,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(intersection(sF11,sF13)) | (~spl19_20 | ~spl19_277)), 83.95/12.27 inference(superposition,[],[f6110,f55878])). 83.95/12.27 tff(f56185,plain,( 83.95/12.27 spl19_282 | ~spl19_20 | ~spl19_266), 83.95/12.27 inference(avatar_split_clause,[],[f56179,f55501,f181,f56183])). 83.95/12.27 tff(f56183,plain,( 83.95/12.27 spl19_282 <=> 0 = cardinality(intersection(sF8,sF13))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_282])])). 83.95/12.27 tff(f56179,plain,( 83.95/12.27 0 = cardinality(intersection(sF8,sF13)) | (~spl19_20 | ~spl19_266)), 83.95/12.27 inference(forward_demodulation,[],[f56174,f182])). 83.95/12.27 tff(f56174,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(intersection(sF8,sF13)) | (~spl19_20 | ~spl19_266)), 83.95/12.27 inference(superposition,[],[f6110,f55502])). 83.95/12.27 tff(f56181,plain,( 83.95/12.27 spl19_277 | spl19_280 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55987,f1281,f264,f126,f122,f98,f56130,f55877])). 83.95/12.27 tff(f55987,plain,( 83.95/12.27 sK6 = sK7 | empty_set = union(intersection(sF11,sF13),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55966])). 83.95/12.27 tff(f55966,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF13),empty_set) | sK6 = sK7 | empty_set = union(intersection(sF11,sF13),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54262,f54225])). 83.95/12.27 tff(f56136,plain,( 83.95/12.27 spl19_281 | ~spl19_20 | ~spl19_265), 83.95/12.27 inference(avatar_split_clause,[],[f56127,f55493,f181,f56134])). 83.95/12.27 tff(f56127,plain,( 83.95/12.27 0 = cardinality(intersection(sF8,sF11)) | (~spl19_20 | ~spl19_265)), 83.95/12.27 inference(forward_demodulation,[],[f56122,f182])). 83.95/12.27 tff(f56122,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(intersection(sF8,sF11)) | (~spl19_20 | ~spl19_265)), 83.95/12.27 inference(superposition,[],[f6110,f55494])). 83.95/12.27 tff(f56132,plain,( 83.95/12.27 spl19_280 | spl19_277 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55984,f1281,f264,f126,f122,f98,f55877,f56130])). 83.95/12.27 tff(f55984,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF13),empty_set) | sK6 = sK7 | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55975])). 83.95/12.27 tff(f55975,plain,( 83.95/12.27 sK6 = sK7 | empty_set = union(intersection(sF11,sF13),empty_set) | empty_set = union(intersection(sF11,sF13),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54225,f54262])). 83.95/12.27 tff(f56094,plain,( 83.95/12.27 spl19_279 | spl19_232 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55951,f1281,f264,f126,f98,f54660,f56007])). 83.95/12.27 tff(f55951,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK7,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f55938,f47])). 83.95/12.27 tff(f55938,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK7,X0) | member(sK7,intersection(X0,sF13)) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55925,f55347])). 83.95/12.27 tff(f56093,plain,( 83.95/12.27 spl19_232 | spl19_268 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_150), 83.95/12.27 inference(avatar_split_clause,[],[f55949,f52379,f1281,f264,f126,f118,f98,f55510,f54660])). 83.95/12.27 tff(f55949,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(empty_set)) | member(sK7,sF8)) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_150)), 83.95/12.27 inference(subsumption_resolution,[],[f55940,f52380])). 83.95/12.27 tff(f55940,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(empty_set)) | member(sK1,sF13) | member(sK7,sF8)) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55925,f47242])). 83.95/12.27 tff(f56092,plain,( 83.95/12.27 spl19_232 | spl19_233 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55948,f1281,f264,f126,f118,f98,f54663,f54660])). 83.95/12.27 tff(f55948,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f55936,f54644])). 83.95/12.27 tff(f55936,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK1,X0) | member(sK7,intersection(X0,sF8)) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55925,f54416])). 83.95/12.27 tff(f56091,plain,( 83.95/12.27 spl19_232 | spl19_271 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_152), 83.95/12.27 inference(avatar_split_clause,[],[f55946,f52430,f1281,f264,f126,f122,f98,f55520,f54660])). 83.95/12.27 tff(f55946,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK7,sF11) | member(X0,complement(empty_set))) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_152)), 83.95/12.27 inference(subsumption_resolution,[],[f55942,f52431])). 83.95/12.27 tff(f55942,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK6,sF13) | member(X0,complement(empty_set)) | member(sK7,sF11)) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55925,f51907])). 83.95/12.27 tff(f51907,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(sF11,X0) | member(sK6,X0)) ) | ~spl19_9), 83.95/12.27 inference(duplicate_literal_removal,[],[f51897])). 83.95/12.27 tff(f51897,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(sF11,X0) | member(sK6,X0) | empty_set = intersection(sF11,X0)) ) | ~spl19_9), 83.95/12.27 inference(superposition,[],[f234,f4857])). 83.95/12.27 tff(f56047,plain,( 83.95/12.27 spl19_232 | spl19_259 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55945,f1281,f264,f126,f122,f98,f55280,f54660])). 83.95/12.27 tff(f55945,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f55937,f55233])). 83.95/12.27 tff(f55233,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,intersection(X0,sF11)) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f55232,f58])). 83.95/12.27 tff(f55937,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK7,intersection(X0,sF11)) | member(sK6,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55925,f55019])). 83.95/12.27 tff(f55019,plain,( 83.95/12.27 ( ! [X0 : set,X1 : set] : (empty_set = intersection(intersection(X0,sF11),X1) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f55006,f233])). 83.95/12.27 tff(f56009,plain,( 83.95/12.27 spl19_232 | spl19_279 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55944,f1281,f264,f126,f98,f56007,f54660])). 83.95/12.27 tff(f55944,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK7,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55934])). 83.95/12.27 tff(f55934,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK7,X0) | member(sK7,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55925,f55346])). 83.95/12.27 tff(f55346,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(X0,sF13) | member(sK7,X0)) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f55341,f59])). 83.95/12.27 tff(f55954,plain,( 83.95/12.27 spl19_147 | spl19_232 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_171), 83.95/12.27 inference(avatar_split_clause,[],[f55943,f53313,f1281,f264,f126,f98,f54660,f52209])). 83.95/12.27 tff(f53313,plain,( 83.95/12.27 spl19_171 <=> empty_set = intersection(sF18,sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_171])])). 83.95/12.27 tff(f55943,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK7,sF18) | member(X0,complement(empty_set))) ) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_171)), 83.95/12.27 inference(superposition,[],[f55925,f53314])). 83.95/12.27 tff(f53314,plain,( 83.95/12.27 empty_set = intersection(sF18,sF13) | ~spl19_171), 83.95/12.27 inference(avatar_component_clause,[],[f53313])). 83.95/12.27 tff(f55902,plain,( 83.95/12.27 spl19_277 | spl19_278 | ~spl19_3 | ~spl19_10 | ~spl19_15 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55895,f1281,f264,f146,f126,f98,f55900,f55877])). 83.95/12.27 tff(f55895,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF13),empty_set) | member(sK7,sF12) | (~spl19_3 | ~spl19_10 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55892])). 83.95/12.27 tff(f55892,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF13),empty_set) | empty_set = union(intersection(sF11,sF13),empty_set) | member(sK7,sF12) | (~spl19_3 | ~spl19_10 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54261,f54225])). 83.95/12.27 tff(f55879,plain,( 83.95/12.27 spl19_277 | spl19_147 | ~spl19_3 | ~spl19_10 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55873,f1281,f264,f158,f126,f98,f52209,f55877])). 83.95/12.27 tff(f55873,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF13),empty_set) | member(sK7,sF18) | (~spl19_3 | ~spl19_10 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55871])). 83.95/12.27 tff(f55871,plain,( 83.95/12.27 empty_set = union(intersection(sF11,sF13),empty_set) | empty_set = union(intersection(sF11,sF13),empty_set) | member(sK7,sF18) | (~spl19_3 | ~spl19_10 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54260,f54225])). 83.95/12.27 tff(f55736,plain,( 83.95/12.27 spl19_265 | spl19_276 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55598,f1281,f264,f122,f118,f98,f55678,f55493])). 83.95/12.27 tff(f55598,plain,( 83.95/12.27 empty_set = union(intersection(sF8,sF11),empty_set) | sK1 = sK6 | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55578])). 83.95/12.27 tff(f55578,plain,( 83.95/12.27 empty_set = union(intersection(sF8,sF11),empty_set) | empty_set = union(intersection(sF8,sF11),empty_set) | sK1 = sK6 | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54220,f54253])). 83.95/12.27 tff(f55735,plain,( 83.95/12.27 spl19_266 | spl19_275 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55594,f1281,f264,f126,f118,f98,f55655,f55501])). 83.95/12.27 tff(f55594,plain,( 83.95/12.27 empty_set = union(intersection(sF8,sF13),empty_set) | sK1 = sK7 | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55571])). 83.95/12.27 tff(f55571,plain,( 83.95/12.27 sK1 = sK7 | empty_set = union(intersection(sF8,sF13),empty_set) | empty_set = union(intersection(sF8,sF13),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54253,f54225])). 83.95/12.27 tff(f55680,plain,( 83.95/12.27 spl19_265 | spl19_276 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55590,f1281,f264,f122,f118,f98,f55678,f55493])). 83.95/12.27 tff(f55590,plain,( 83.95/12.27 sK1 = sK6 | empty_set = union(intersection(sF8,sF11),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55570])). 83.95/12.27 tff(f55570,plain,( 83.95/12.27 sK1 = sK6 | empty_set = union(intersection(sF8,sF11),empty_set) | empty_set = union(intersection(sF8,sF11),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54253,f54220])). 83.95/12.27 tff(f55657,plain,( 83.95/12.27 spl19_275 | spl19_266 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55586,f1281,f264,f126,f118,f98,f55501,f55655])). 83.95/12.27 tff(f55586,plain,( 83.95/12.27 sK1 = sK7 | empty_set = union(intersection(sF8,sF13),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55580])). 83.95/12.27 tff(f55580,plain,( 83.95/12.27 empty_set = union(intersection(sF8,sF13),empty_set) | sK1 = sK7 | empty_set = union(intersection(sF8,sF13),empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54225,f54253])). 83.95/12.27 tff(f55629,plain,( 83.95/12.27 spl19_274 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_252), 83.95/12.27 inference(avatar_split_clause,[],[f55609,f54961,f1281,f264,f122,f98,f55627])). 83.95/12.27 tff(f55627,plain,( 83.95/12.27 spl19_274 <=> member(sK6,singleton(sK0(union(sF12,empty_set))))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_274])])). 83.95/12.27 tff(f54961,plain,( 83.95/12.27 spl19_252 <=> member(sK0(union(sF12,empty_set)),sF11)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_252])])). 83.95/12.27 tff(f55609,plain,( 83.95/12.27 member(sK6,singleton(sK0(union(sF12,empty_set)))) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_252)), 83.95/12.27 inference(resolution,[],[f55553,f198])). 83.95/12.27 tff(f55553,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(union(sF12,empty_set)),X0) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_252)), 83.95/12.27 inference(resolution,[],[f54962,f55017])). 83.95/12.27 tff(f55017,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,sF11) | ~member(X1,X0) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f55006,f46])). 83.95/12.27 tff(f54962,plain,( 83.95/12.27 member(sK0(union(sF12,empty_set)),sF11) | ~spl19_252), 83.95/12.27 inference(avatar_component_clause,[],[f54961])). 83.95/12.27 tff(f55625,plain,( 83.95/12.27 spl19_273 | ~spl19_9 | ~spl19_252), 83.95/12.27 inference(avatar_split_clause,[],[f55557,f54961,f122,f55623])). 83.95/12.27 tff(f55623,plain,( 83.95/12.27 spl19_273 <=> sK6 = sK0(union(sF12,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_273])])). 83.95/12.27 tff(f55557,plain,( 83.95/12.27 sK6 = sK0(union(sF12,empty_set)) | (~spl19_9 | ~spl19_252)), 83.95/12.27 inference(resolution,[],[f54962,f205])). 83.95/12.27 tff(f55562,plain,( 83.95/12.27 spl19_260 | ~spl19_15 | ~spl19_252), 83.95/12.27 inference(avatar_split_clause,[],[f55556,f54961,f146,f55295])). 83.95/12.27 tff(f55295,plain,( 83.95/12.27 spl19_260 <=> member(sK0(union(sF12,empty_set)),sF12)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_260])])). 83.95/12.27 tff(f55556,plain,( 83.95/12.27 member(sK0(union(sF12,empty_set)),sF12) | (~spl19_15 | ~spl19_252)), 83.95/12.27 inference(resolution,[],[f54962,f237])). 83.95/12.27 tff(f55561,plain,( 83.95/12.27 spl19_272 | ~spl19_18 | ~spl19_252), 83.95/12.27 inference(avatar_split_clause,[],[f55555,f54961,f158,f55559])). 83.95/12.27 tff(f55555,plain,( 83.95/12.27 member(sK0(union(sF12,empty_set)),sF18) | (~spl19_18 | ~spl19_252)), 83.95/12.27 inference(resolution,[],[f54962,f238])). 83.95/12.27 tff(f55550,plain,( 83.95/12.27 ~spl19_3 | ~spl19_9 | ~spl19_25 | ~spl19_26 | ~spl19_61 | spl19_152 | ~spl19_271), 83.95/12.27 inference(avatar_contradiction_clause,[],[f55549])). 83.95/12.27 tff(f55549,plain,( 83.95/12.27 $false | (~spl19_3 | ~spl19_9 | ~spl19_25 | ~spl19_26 | ~spl19_61 | spl19_152 | ~spl19_271)), 83.95/12.27 inference(subsumption_resolution,[],[f55535,f52431])). 83.95/12.27 tff(f55535,plain,( 83.95/12.27 member(sK6,sF13) | (~spl19_3 | ~spl19_9 | ~spl19_25 | ~spl19_26 | ~spl19_61 | ~spl19_271)), 83.95/12.27 inference(resolution,[],[f55528,f217])). 83.95/12.27 tff(f55528,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK7,X0) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_271)), 83.95/12.27 inference(resolution,[],[f55521,f55017])). 83.95/12.27 tff(f55548,plain,( 83.95/12.27 ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_152 | ~spl19_271), 83.95/12.27 inference(avatar_contradiction_clause,[],[f55547])). 83.95/12.27 tff(f55547,plain,( 83.95/12.27 $false | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_152 | ~spl19_271)), 83.95/12.27 inference(subsumption_resolution,[],[f55546,f52431])). 83.95/12.27 tff(f55546,plain,( 83.95/12.27 member(sK6,sF13) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_271)), 83.95/12.27 inference(forward_demodulation,[],[f55537,f127])). 83.95/12.27 tff(f55537,plain,( 83.95/12.27 member(sK6,singleton(sK7)) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_271)), 83.95/12.27 inference(resolution,[],[f55528,f198])). 83.95/12.27 tff(f55527,plain,( 83.95/12.27 ~spl19_13 | spl19_161 | ~spl19_268), 83.95/12.27 inference(avatar_contradiction_clause,[],[f55526])). 83.95/12.27 tff(f55526,plain,( 83.95/12.27 $false | (~spl19_13 | spl19_161 | ~spl19_268)), 83.95/12.27 inference(subsumption_resolution,[],[f55524,f52589])). 83.95/12.27 tff(f55524,plain,( 83.95/12.27 member(sK7,sF9) | (~spl19_13 | ~spl19_268)), 83.95/12.27 inference(resolution,[],[f55511,f235])). 83.95/12.27 tff(f55511,plain,( 83.95/12.27 member(sK7,sF8) | ~spl19_268), 83.95/12.27 inference(avatar_component_clause,[],[f55510])). 83.95/12.27 tff(f55522,plain,( 83.95/12.27 spl19_270 | spl19_271 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_100), 83.95/12.27 inference(avatar_split_clause,[],[f55400,f6794,f1281,f264,f126,f122,f98,f55520,f55517])). 83.95/12.27 tff(f55400,plain,( 83.95/12.27 2 = cardinality(union(sF11,sF13)) | member(sK7,sF11) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_100)), 83.95/12.27 inference(evaluation,[],[f55399])). 83.95/12.27 tff(f55399,plain,( 83.95/12.27 $sum(1,1) = cardinality(union(sF11,sF13)) | member(sK7,sF11) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_100)), 83.95/12.27 inference(forward_demodulation,[],[f55383,f6795])). 83.95/12.27 tff(f55383,plain,( 83.95/12.27 $sum(1,cardinality(sF13)) = cardinality(union(sF11,sF13)) | member(sK7,sF11) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(trivial_inequality_removal,[],[f55371])). 83.95/12.27 tff(f55371,plain,( 83.95/12.27 $sum(1,cardinality(sF13)) = cardinality(union(sF11,sF13)) | empty_set != empty_set | member(sK7,sF11) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f438,f55346])). 83.95/12.27 tff(f55515,plain,( 83.95/12.27 spl19_268 | spl19_269 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_100), 83.95/12.27 inference(avatar_split_clause,[],[f55394,f6794,f1281,f264,f126,f118,f98,f55513,f55510])). 83.95/12.27 tff(f55394,plain,( 83.95/12.27 2 = cardinality(union(sF8,sF13)) | member(sK7,sF8) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_100)), 83.95/12.27 inference(evaluation,[],[f55393])). 83.95/12.27 tff(f55393,plain,( 83.95/12.27 member(sK7,sF8) | $sum(1,1) = cardinality(union(sF8,sF13)) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_100)), 83.95/12.27 inference(forward_demodulation,[],[f55386,f6795])). 83.95/12.27 tff(f55386,plain,( 83.95/12.27 member(sK7,sF8) | $sum(1,cardinality(sF13)) = cardinality(union(sF8,sF13)) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(trivial_inequality_removal,[],[f55370])). 83.95/12.27 tff(f55370,plain,( 83.95/12.27 member(sK7,sF8) | empty_set != empty_set | $sum(1,cardinality(sF13)) = cardinality(union(sF8,sF13)) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f437,f55346])). 83.95/12.27 tff(f55507,plain,( 83.95/12.27 spl19_267 | ~spl19_57 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_100), 83.95/12.27 inference(avatar_split_clause,[],[f55392,f6794,f1281,f264,f126,f122,f98,f682,f55505])). 83.95/12.27 tff(f55505,plain,( 83.95/12.27 spl19_267 <=> 1 = cardinality(union(sF11,sF13))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_267])])). 83.95/12.27 tff(f55392,plain,( 83.95/12.27 empty_set != sF11 | 1 = cardinality(union(sF11,sF13)) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_100)), 83.95/12.27 inference(forward_demodulation,[],[f55391,f6795])). 83.95/12.27 tff(f55391,plain,( 83.95/12.27 cardinality(sF13) = cardinality(union(sF11,sF13)) | empty_set != sF11 | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f55372,f60])). 83.95/12.27 tff(f55372,plain,( 83.95/12.27 member(sK7,sF11) | cardinality(sF13) = cardinality(union(sF11,sF13)) | empty_set != sF11 | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f363,f55346])). 83.95/12.27 tff(f55503,plain,( 83.95/12.27 spl19_266 | ~spl19_3 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61 | spl19_161), 83.95/12.27 inference(avatar_split_clause,[],[f55491,f52588,f1281,f264,f138,f126,f98,f55501])). 83.95/12.27 tff(f55491,plain,( 83.95/12.27 empty_set = union(intersection(sF8,sF13),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61 | spl19_161)), 83.95/12.27 inference(subsumption_resolution,[],[f55488,f52589])). 83.95/12.27 tff(f55488,plain,( 83.95/12.27 empty_set = union(intersection(sF8,sF13),empty_set) | member(sK7,sF9) | (~spl19_3 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55486])). 83.95/12.27 tff(f55486,plain,( 83.95/12.27 member(sK7,sF9) | empty_set = union(intersection(sF8,sF13),empty_set) | empty_set = union(intersection(sF8,sF13),empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54252,f54225])). 83.95/12.27 tff(f55495,plain,( 83.95/12.27 spl19_265 | ~spl19_3 | ~spl19_9 | ~spl19_13 | ~spl19_26 | ~spl19_61 | spl19_144), 83.95/12.27 inference(avatar_split_clause,[],[f55490,f51977,f1281,f264,f138,f122,f98,f55493])). 83.95/12.27 tff(f55490,plain,( 83.95/12.27 empty_set = union(intersection(sF8,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_13 | ~spl19_26 | ~spl19_61 | spl19_144)), 83.95/12.27 inference(subsumption_resolution,[],[f55489,f51978])). 83.95/12.27 tff(f55489,plain,( 83.95/12.27 member(sK6,sF9) | empty_set = union(intersection(sF8,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55485])). 83.95/12.27 tff(f55485,plain,( 83.95/12.27 member(sK6,sF9) | empty_set = union(intersection(sF8,sF11),empty_set) | empty_set = union(intersection(sF8,sF11),empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54252,f54220])). 83.95/12.27 tff(f55472,plain,( 83.95/12.27 ~spl19_264 | ~spl19_145 | ~spl19_191), 83.95/12.27 inference(avatar_split_clause,[],[f54136,f53939,f52201,f55470])). 83.95/12.27 tff(f55470,plain,( 83.95/12.27 spl19_264 <=> member(sK0(union(sK5,empty_set)),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_264])])). 83.95/12.27 tff(f54136,plain,( 83.95/12.27 ~member(sK0(union(sK5,empty_set)),sF13) | (~spl19_145 | ~spl19_191)), 83.95/12.27 inference(resolution,[],[f53940,f52220])). 83.95/12.27 tff(f55451,plain,( 83.95/12.27 spl19_263 | ~spl19_55 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_100), 83.95/12.27 inference(avatar_split_clause,[],[f55389,f6794,f1281,f264,f126,f118,f98,f607,f55449])). 83.95/12.27 tff(f55449,plain,( 83.95/12.27 spl19_263 <=> 1 = cardinality(union(sF8,sF13))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_263])])). 83.95/12.27 tff(f55389,plain,( 83.95/12.27 1 = cardinality(union(sF8,sF13)) | empty_set != sF8 | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_100)), 83.95/12.27 inference(forward_demodulation,[],[f55388,f6795])). 83.95/12.27 tff(f55388,plain,( 83.95/12.27 cardinality(sF13) = cardinality(union(sF8,sF13)) | empty_set != sF8 | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f55369,f60])). 83.95/12.27 tff(f55369,plain,( 83.95/12.27 member(sK7,sF8) | empty_set != sF8 | cardinality(sF13) = cardinality(union(sF8,sF13)) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f362,f55346])). 83.95/12.27 tff(f55406,plain,( 83.95/12.27 spl19_262 | ~spl19_64 | ~spl19_253), 83.95/12.27 inference(avatar_split_clause,[],[f55216,f54964,f1429,f55404])). 83.95/12.27 tff(f54964,plain,( 83.95/12.27 spl19_253 <=> member(sK0(union(sF12,empty_set)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_253])])). 83.95/12.27 tff(f55216,plain,( 83.95/12.27 member(sK0(union(sF12,empty_set)),sF8) | (~spl19_64 | ~spl19_253)), 83.95/12.27 inference(resolution,[],[f54965,f2677])). 83.95/12.27 tff(f54965,plain,( 83.95/12.27 member(sK0(union(sF12,empty_set)),sF9) | ~spl19_253), 83.95/12.27 inference(avatar_component_clause,[],[f54964])). 83.95/12.27 tff(f55301,plain,( 83.95/12.27 spl19_261 | ~spl19_5 | ~spl19_253), 83.95/12.27 inference(avatar_split_clause,[],[f55213,f54964,f106,f55299])). 83.95/12.27 tff(f55299,plain,( 83.95/12.27 spl19_261 <=> member(sK0(union(sF12,empty_set)),sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_261])])). 83.95/12.27 tff(f55213,plain,( 83.95/12.27 member(sK0(union(sF12,empty_set)),sK5) | (~spl19_5 | ~spl19_253)), 83.95/12.27 inference(resolution,[],[f54965,f271])). 83.95/12.27 tff(f55297,plain,( 83.95/12.27 spl19_260 | ~spl19_66 | ~spl19_253), 83.95/12.27 inference(avatar_split_clause,[],[f55212,f54964,f1443,f55295])). 83.95/12.27 tff(f55212,plain,( 83.95/12.27 member(sK0(union(sF12,empty_set)),sF12) | (~spl19_66 | ~spl19_253)), 83.95/12.27 inference(resolution,[],[f54965,f53667])). 83.95/12.27 tff(f55290,plain,( 83.95/12.27 spl19_232 | spl19_233 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55251,f1281,f264,f122,f118,f98,f54663,f54660])). 83.95/12.27 tff(f55251,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK1,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f55240,f54644])). 83.95/12.27 tff(f55240,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK6,intersection(X0,sF8)) | member(X1,complement(empty_set)) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55232,f54416])). 83.95/12.27 tff(f55289,plain,( 83.95/12.27 spl19_259 | spl19_232 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55249,f1281,f264,f122,f98,f54660,f55280])). 83.95/12.27 tff(f55249,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f55241,f47])). 83.95/12.27 tff(f55241,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK6,X0) | member(X1,complement(empty_set)) | member(sK6,intersection(X0,sF11))) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55232,f55019])). 83.95/12.27 tff(f55288,plain,( 83.95/12.27 spl19_232 | spl19_237 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | spl19_228), 83.95/12.27 inference(avatar_split_clause,[],[f55248,f54552,f1281,f264,f122,f118,f98,f54773,f54660])). 83.95/12.27 tff(f55248,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK6,sF8) | member(X0,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | spl19_228)), 83.95/12.27 inference(subsumption_resolution,[],[f55242,f54915])). 83.95/12.27 tff(f55242,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK6,sF8) | member(X0,complement(empty_set)) | member(sK1,sF11)) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55232,f47242])). 83.95/12.27 tff(f55285,plain,( 83.95/12.27 spl19_248 | ~spl19_18 | ~spl19_225), 83.95/12.27 inference(avatar_split_clause,[],[f55193,f54537,f158,f54927])). 83.95/12.27 tff(f55193,plain,( 83.95/12.27 member(sK0(union(sF18,empty_set)),sF18) | (~spl19_18 | ~spl19_225)), 83.95/12.27 inference(resolution,[],[f54538,f243])). 83.95/12.27 tff(f55283,plain,( 83.95/12.27 spl19_244 | ~spl19_16 | ~spl19_221), 83.95/12.27 inference(avatar_split_clause,[],[f55158,f54482,f150,f54906])). 83.95/12.27 tff(f55158,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF14) | (~spl19_16 | ~spl19_221)), 83.95/12.27 inference(resolution,[],[f54483,f244])). 83.95/12.27 tff(f55282,plain,( 83.95/12.27 spl19_259 | spl19_232 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f55246,f1281,f264,f122,f98,f54660,f55280])). 83.95/12.27 tff(f55246,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f55238])). 83.95/12.27 tff(f55238,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,complement(empty_set)) | member(sK6,X0) | member(sK6,X0)) ) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f55232,f55018])). 83.95/12.27 tff(f55156,plain,( 83.95/12.27 ~spl19_13 | spl19_144 | ~spl19_237), 83.95/12.27 inference(avatar_contradiction_clause,[],[f55155])). 83.95/12.27 tff(f55155,plain,( 83.95/12.27 $false | (~spl19_13 | spl19_144 | ~spl19_237)), 83.95/12.27 inference(subsumption_resolution,[],[f55153,f51978])). 83.95/12.27 tff(f55153,plain,( 83.95/12.27 member(sK6,sF9) | (~spl19_13 | ~spl19_237)), 83.95/12.27 inference(resolution,[],[f54774,f235])). 83.95/12.27 tff(f54774,plain,( 83.95/12.27 member(sK6,sF8) | ~spl19_237), 83.95/12.27 inference(avatar_component_clause,[],[f54773])). 83.95/12.27 tff(f55138,plain,( 83.95/12.27 spl19_258 | ~spl19_55 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_97), 83.95/12.27 inference(avatar_split_clause,[],[f55073,f6753,f1281,f264,f122,f118,f98,f607,f55136])). 83.95/12.27 tff(f55136,plain,( 83.95/12.27 spl19_258 <=> 1 = cardinality(union(sF8,sF11))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_258])])). 83.95/12.27 tff(f55073,plain,( 83.95/12.27 1 = cardinality(union(sF8,sF11)) | empty_set != sF8 | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_97)), 83.95/12.27 inference(forward_demodulation,[],[f55072,f6754])). 83.95/12.27 tff(f55072,plain,( 83.95/12.27 cardinality(sF11) = cardinality(union(sF8,sF11)) | empty_set != sF8 | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f55039,f60])). 83.95/12.27 tff(f55039,plain,( 83.95/12.27 empty_set != sF8 | member(sK6,sF8) | cardinality(sF11) = cardinality(union(sF8,sF11)) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f362,f55018])). 83.95/12.27 tff(f55126,plain,( 83.95/12.27 spl19_257 | spl19_237 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_97), 83.95/12.27 inference(avatar_split_clause,[],[f55064,f6753,f1281,f264,f122,f118,f98,f54773,f55124])). 83.95/12.27 tff(f55064,plain,( 83.95/12.27 2 = cardinality(union(sF8,sF11)) | member(sK6,sF8) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_97)), 83.95/12.27 inference(evaluation,[],[f55063])). 83.95/12.27 tff(f55063,plain,( 83.95/12.27 member(sK6,sF8) | $sum(1,1) = cardinality(union(sF8,sF11)) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_97)), 83.95/12.27 inference(forward_demodulation,[],[f55056,f6754])). 83.95/12.27 tff(f55056,plain,( 83.95/12.27 $sum(1,cardinality(sF11)) = cardinality(union(sF8,sF11)) | member(sK6,sF8) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(trivial_inequality_removal,[],[f55040])). 83.95/12.27 tff(f55040,plain,( 83.95/12.27 $sum(1,cardinality(sF11)) = cardinality(union(sF8,sF11)) | empty_set != empty_set | member(sK6,sF8) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f437,f55018])). 83.95/12.27 tff(f55122,plain,( 83.95/12.27 spl19_256 | ~spl19_59 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_97 | spl19_152), 83.95/12.27 inference(avatar_split_clause,[],[f55059,f52430,f6753,f1281,f264,f126,f122,f98,f1016,f55120])). 83.95/12.27 tff(f55059,plain,( 83.95/12.27 empty_set != sF13 | 1 = cardinality(union(sF13,sF11)) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_97 | spl19_152)), 83.95/12.27 inference(forward_demodulation,[],[f55058,f6754])). 83.95/12.27 tff(f55058,plain,( 83.95/12.27 cardinality(sF11) = cardinality(union(sF13,sF11)) | empty_set != sF13 | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_152)), 83.95/12.27 inference(subsumption_resolution,[],[f55044,f52431])). 83.95/12.27 tff(f55044,plain,( 83.95/12.27 member(sK6,sF13) | empty_set != sF13 | cardinality(sF11) = cardinality(union(sF13,sF11)) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f364,f55018])). 83.95/12.27 tff(f55079,plain,( 83.95/12.27 spl19_255 | ~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_97 | spl19_152), 83.95/12.27 inference(avatar_split_clause,[],[f55062,f52430,f6753,f1281,f264,f126,f122,f98,f55077])). 83.95/12.27 tff(f55062,plain,( 83.95/12.27 2 = cardinality(union(sF13,sF11)) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_97 | spl19_152)), 83.95/12.27 inference(evaluation,[],[f55061])). 83.95/12.27 tff(f55061,plain,( 83.95/12.27 $sum(1,1) = cardinality(union(sF13,sF11)) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_97 | spl19_152)), 83.95/12.27 inference(forward_demodulation,[],[f55060,f6754])). 83.95/12.27 tff(f55060,plain,( 83.95/12.27 $sum(1,cardinality(sF11)) = cardinality(union(sF13,sF11)) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_152)), 83.95/12.27 inference(subsumption_resolution,[],[f55057,f52431])). 83.95/12.27 tff(f55057,plain,( 83.95/12.27 $sum(1,cardinality(sF11)) = cardinality(union(sF13,sF11)) | member(sK6,sF13) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(trivial_inequality_removal,[],[f55043])). 83.95/12.27 tff(f55043,plain,( 83.95/12.27 $sum(1,cardinality(sF11)) = cardinality(union(sF13,sF11)) | empty_set != empty_set | member(sK6,sF13) | (~spl19_3 | ~spl19_9 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f439,f55018])). 83.95/12.27 tff(f54994,plain,( 83.95/12.27 spl19_254 | ~spl19_9 | ~spl19_226), 83.95/12.27 inference(avatar_split_clause,[],[f54669,f54540,f122,f54992])). 83.95/12.27 tff(f54992,plain,( 83.95/12.27 spl19_254 <=> sK6 = sK0(union(sF18,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_254])])). 83.95/12.27 tff(f54540,plain,( 83.95/12.27 spl19_226 <=> member(sK0(union(sF18,empty_set)),sF11)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_226])])). 83.95/12.27 tff(f54669,plain,( 83.95/12.27 sK6 = sK0(union(sF18,empty_set)) | (~spl19_9 | ~spl19_226)), 83.95/12.27 inference(resolution,[],[f54541,f205])). 83.95/12.27 tff(f54541,plain,( 83.95/12.27 member(sK0(union(sF18,empty_set)),sF11) | ~spl19_226), 83.95/12.27 inference(avatar_component_clause,[],[f54540])). 83.95/12.27 tff(f54966,plain,( 83.95/12.27 spl19_252 | spl19_203 | spl19_253 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.27 inference(avatar_split_clause,[],[f54945,f1443,f1281,f264,f98,f54964,f54013,f54961])). 83.95/12.27 tff(f54945,plain,( 83.95/12.27 member(sK0(union(sF12,empty_set)),sF11) | member(sK0(union(sF12,empty_set)),sF9) | empty_set = union(sF12,empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(resolution,[],[f53666,f53895])). 83.95/12.27 tff(f54940,plain,( 83.95/12.27 ~spl19_250 | spl19_251 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_145 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54750,f53961,f52201,f1281,f264,f118,f98,f54938,f54935])). 83.95/12.27 tff(f54935,plain,( 83.95/12.27 spl19_250 <=> member(sK0(union(sF9,empty_set)),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_250])])). 83.95/12.27 tff(f53961,plain,( 83.95/12.27 spl19_197 <=> member(sK0(union(sF9,empty_set)),sF8)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_197])])). 83.95/12.27 tff(f54750,plain,( 83.95/12.27 member(sK1,complement(sF18)) | ~member(sK0(union(sF9,empty_set)),sF13) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_145 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54576,f52220])). 83.95/12.27 tff(f54576,plain,( 83.95/12.27 ( ! [X0 : set] : (member(sK0(union(sF9,empty_set)),X0) | member(sK1,complement(X0))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54509,f57])). 83.95/12.27 tff(f54509,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(union(sF9,empty_set)),X0) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54414,f53962])). 83.95/12.27 tff(f53962,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sF8) | ~spl19_197), 83.95/12.27 inference(avatar_component_clause,[],[f53961])). 83.95/12.27 tff(f54933,plain,( 83.95/12.27 spl19_249 | ~spl19_15 | ~spl19_226), 83.95/12.27 inference(avatar_split_clause,[],[f54668,f54540,f146,f54931])). 83.95/12.27 tff(f54931,plain,( 83.95/12.27 spl19_249 <=> member(sK0(union(sF18,empty_set)),sF12)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_249])])). 83.95/12.27 tff(f54668,plain,( 83.95/12.27 member(sK0(union(sF18,empty_set)),sF12) | (~spl19_15 | ~spl19_226)), 83.95/12.27 inference(resolution,[],[f54541,f237])). 83.95/12.27 tff(f54929,plain,( 83.95/12.27 spl19_248 | ~spl19_18 | ~spl19_226), 83.95/12.27 inference(avatar_split_clause,[],[f54667,f54540,f158,f54927])). 83.95/12.27 tff(f54667,plain,( 83.95/12.27 member(sK0(union(sF18,empty_set)),sF18) | (~spl19_18 | ~spl19_226)), 83.95/12.27 inference(resolution,[],[f54541,f238])). 83.95/12.27 tff(f54925,plain,( 83.95/12.27 spl19_247 | ~spl19_10 | ~spl19_220), 83.95/12.27 inference(avatar_split_clause,[],[f54629,f54479,f126,f54923])). 83.95/12.27 tff(f54629,plain,( 83.95/12.27 sK7 = sK0(union(sF14,empty_set)) | (~spl19_10 | ~spl19_220)), 83.95/12.27 inference(resolution,[],[f54480,f206])). 83.95/12.27 tff(f54480,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF13) | ~spl19_220), 83.95/12.27 inference(avatar_component_clause,[],[f54479])). 83.95/12.27 tff(f54920,plain,( 83.95/12.27 spl19_243 | spl19_246 | ~spl19_3 | ~spl19_8 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54744,f53961,f1281,f264,f150,f118,f98,f54918,f54885])). 83.95/12.27 tff(f54885,plain,( 83.95/12.27 spl19_243 <=> member(sK0(union(sF9,empty_set)),sF14)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_243])])). 83.95/12.27 tff(f54918,plain,( 83.95/12.27 spl19_246 <=> member(sK1,complement(sF12))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_246])])). 83.95/12.27 tff(f54744,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sF14) | member(sK1,complement(sF12)) | (~spl19_3 | ~spl19_8 | ~spl19_16 | ~spl19_26 | ~spl19_61 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54576,f244])). 83.95/12.27 tff(f54916,plain,( 83.95/12.27 ~spl19_228 | ~spl19_245), 83.95/12.27 inference(avatar_split_clause,[],[f54914,f54911,f54552])). 83.95/12.27 tff(f54914,plain,( 83.95/12.27 ~member(sK1,sF11) | ~spl19_245), 83.95/12.27 inference(resolution,[],[f54912,f58])). 83.95/12.27 tff(f54913,plain,( 83.95/12.27 ~spl19_238 | spl19_245 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_141 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54740,f53961,f51939,f1281,f264,f118,f98,f54911,f54820])). 83.95/12.27 tff(f54820,plain,( 83.95/12.27 spl19_238 <=> member(sK0(union(sF9,empty_set)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_238])])). 83.95/12.27 tff(f54740,plain,( 83.95/12.27 ~member(sK0(union(sF9,empty_set)),sF9) | member(sK1,complement(sF11)) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_141 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54576,f51950])). 83.95/12.27 tff(f54908,plain,( 83.95/12.27 spl19_244 | ~spl19_16 | ~spl19_220), 83.95/12.27 inference(avatar_split_clause,[],[f54628,f54479,f150,f54906])). 83.95/12.27 tff(f54628,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF14) | (~spl19_16 | ~spl19_220)), 83.95/12.27 inference(resolution,[],[f54480,f239])). 83.95/12.27 tff(f54887,plain,( 83.95/12.27 spl19_243 | ~spl19_16 | ~spl19_209), 83.95/12.27 inference(avatar_split_clause,[],[f54506,f54085,f150,f54885])). 83.95/12.27 tff(f54085,plain,( 83.95/12.27 spl19_209 <=> member(sK0(union(sF9,empty_set)),sF12)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_209])])). 83.95/12.27 tff(f54506,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sF14) | (~spl19_16 | ~spl19_209)), 83.95/12.27 inference(resolution,[],[f54086,f244])). 83.95/12.27 tff(f54086,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sF12) | ~spl19_209), 83.95/12.27 inference(avatar_component_clause,[],[f54085])). 83.95/12.27 tff(f54866,plain,( 83.95/12.27 spl19_242 | spl19_211 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_95 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54738,f53961,f5373,f1281,f264,f118,f98,f54093,f54863])). 83.95/12.27 tff(f54093,plain,( 83.95/12.27 spl19_211 <=> member(sK0(union(sF9,empty_set)),sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_211])])). 83.95/12.27 tff(f54738,plain,( 83.95/12.27 member(sK1,complement(sF9)) | member(sK0(union(sF9,empty_set)),sF18) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_95 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54576,f5437])). 83.95/12.27 tff(f54865,plain,( 83.95/12.27 spl19_213 | spl19_242 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_92 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54737,f53961,f5066,f1281,f264,f118,f98,f54863,f54101])). 83.95/12.27 tff(f54101,plain,( 83.95/12.27 spl19_213 <=> member(sK0(union(sF9,empty_set)),sK2)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_213])])). 83.95/12.27 tff(f54737,plain,( 83.95/12.27 member(sK1,complement(sF9)) | member(sK0(union(sF9,empty_set)),sK2) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_92 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54576,f5553])). 83.95/12.27 tff(f54861,plain,( 83.95/12.27 spl19_239 | spl19_241 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54734,f53961,f1281,f264,f118,f98,f54851,f54829])). 83.95/12.27 tff(f54829,plain,( 83.95/12.27 spl19_239 <=> sK1 = sK0(union(sF9,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_239])])). 83.95/12.27 tff(f54851,plain,( 83.95/12.27 spl19_241 <=> member(sK1,complement(sF8))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_241])])). 83.95/12.27 tff(f54734,plain,( 83.95/12.27 member(sK1,complement(sF8)) | sK1 = sK0(union(sF9,empty_set)) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54576,f204])). 83.95/12.27 tff(f54853,plain,( 83.95/12.27 spl19_241 | spl19_238 | ~spl19_3 | ~spl19_8 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54733,f53961,f1281,f264,f138,f118,f98,f54820,f54851])). 83.95/12.27 tff(f54733,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sF9) | member(sK1,complement(sF8)) | (~spl19_3 | ~spl19_8 | ~spl19_13 | ~spl19_26 | ~spl19_61 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54576,f235])). 83.95/12.27 tff(f54849,plain,( 83.95/12.27 spl19_211 | spl19_240 | ~spl19_3 | ~spl19_8 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54731,f53961,f1281,f264,f158,f118,f98,f54847,f54093])). 83.95/12.27 tff(f54731,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sF18) | member(sK1,complement(sK5)) | (~spl19_3 | ~spl19_8 | ~spl19_18 | ~spl19_26 | ~spl19_61 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54576,f243])). 83.95/12.27 tff(f54831,plain,( 83.95/12.27 spl19_239 | ~spl19_8 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54154,f53961,f118,f54829])). 83.95/12.27 tff(f54154,plain,( 83.95/12.27 sK1 = sK0(union(sF9,empty_set)) | (~spl19_8 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f53962,f204])). 83.95/12.27 tff(f54822,plain,( 83.95/12.27 spl19_238 | ~spl19_13 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54153,f53961,f138,f54820])). 83.95/12.27 tff(f54153,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sF9) | (~spl19_13 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f53962,f235])). 83.95/12.27 tff(f54815,plain,( 83.95/12.27 spl19_211 | ~spl19_18 | ~spl19_195), 83.95/12.27 inference(avatar_split_clause,[],[f54148,f53954,f158,f54093])). 83.95/12.27 tff(f53954,plain,( 83.95/12.27 spl19_195 <=> member(sK0(union(sF9,empty_set)),sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_195])])). 83.95/12.27 tff(f54148,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sF18) | (~spl19_18 | ~spl19_195)), 83.95/12.27 inference(resolution,[],[f53955,f243])). 83.95/12.27 tff(f53955,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sK5) | ~spl19_195), 83.95/12.27 inference(avatar_component_clause,[],[f53954])). 83.95/12.27 tff(f54775,plain,( 83.95/12.27 spl19_228 | spl19_232 | spl19_237 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f54654,f1281,f264,f122,f118,f98,f54773,f54660,f54552])). 83.95/12.27 tff(f54654,plain,( 83.95/12.27 ( ! [X0 : element] : (member(sK6,sF8) | member(X0,complement(empty_set)) | member(sK1,sF11)) ) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54643,f51907])). 83.95/12.27 tff(f54771,plain,( 83.95/12.27 spl19_236 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_164 | ~spl19_195 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54753,f53961,f53954,f52974,f1281,f264,f118,f98,f54769])). 83.95/12.27 tff(f54769,plain,( 83.95/12.27 spl19_236 <=> member(sK1,complement(sF13))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_236])])). 83.95/12.27 tff(f54753,plain,( 83.95/12.27 member(sK1,complement(sF13)) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_164 | ~spl19_195 | ~spl19_197)), 83.95/12.27 inference(subsumption_resolution,[],[f54745,f53955])). 83.95/12.27 tff(f54745,plain,( 83.95/12.27 member(sK1,complement(sF13)) | ~member(sK0(union(sF9,empty_set)),sK5) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_164 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54576,f52998])). 83.95/12.27 tff(f54766,plain,( 83.95/12.27 spl19_235 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54722,f53961,f1281,f264,f118,f98,f54764])). 83.95/12.27 tff(f54722,plain,( 83.95/12.27 member(sK1,complement(empty_set)) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54576,f162])). 83.95/12.27 tff(f54719,plain,( 83.95/12.27 spl19_196 | spl19_234 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54565,f53961,f1281,f264,f118,f98,f54717,f53957])). 83.95/12.27 tff(f53957,plain,( 83.95/12.27 spl19_196 <=> empty_set = union(sF9,empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_196])])). 83.95/12.27 tff(f54565,plain,( 83.95/12.27 empty_set = union(sF9,empty_set) | member(sK1,union(sF9,empty_set)) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54509,f59])). 83.95/12.27 tff(f54670,plain,( 83.95/12.27 spl19_233 | spl19_232 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f54657,f1281,f264,f118,f98,f54660,f54663])). 83.95/12.27 tff(f54657,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK1,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f54652,f47])). 83.95/12.27 tff(f54652,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK1,intersection(X0,sF8)) | member(sK1,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54643,f54416])). 83.95/12.27 tff(f54665,plain,( 83.95/12.27 spl19_232 | spl19_233 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f54656,f1281,f264,f118,f98,f54663,f54660])). 83.95/12.27 tff(f54656,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK1,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f54650])). 83.95/12.27 tff(f54650,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(sK1,X0) | member(sK1,X0) | member(X1,complement(empty_set))) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54643,f54415])). 83.95/12.27 tff(f54415,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(X0,sF8) | member(sK1,X0)) ) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f54412,f59])). 83.95/12.27 tff(f54594,plain,( 83.95/12.27 ~spl19_11 | ~spl19_20 | spl19_21 | ~spl19_222), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54593])). 83.95/12.27 tff(f54593,plain,( 83.95/12.27 $false | (~spl19_11 | ~spl19_20 | spl19_21 | ~spl19_222)), 83.95/12.27 inference(subsumption_resolution,[],[f54588,f193])). 83.95/12.27 tff(f193,plain,( 83.95/12.27 0 != sF15 | spl19_21), 83.95/12.27 inference(avatar_component_clause,[],[f192])). 83.95/12.27 tff(f192,plain,( 83.95/12.27 spl19_21 <=> 0 = sF15), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_21])])). 83.95/12.27 tff(f54588,plain,( 83.95/12.27 0 = sF15 | (~spl19_11 | ~spl19_20 | ~spl19_222)), 83.95/12.27 inference(backward_demodulation,[],[f131,f54586])). 83.95/12.27 tff(f54586,plain,( 83.95/12.27 0 = cardinality(sF14) | (~spl19_20 | ~spl19_222)), 83.95/12.27 inference(forward_demodulation,[],[f54581,f182])). 83.95/12.27 tff(f54581,plain,( 83.95/12.27 cardinality(sF14) = cardinality(empty_set) | (~spl19_20 | ~spl19_222)), 83.95/12.27 inference(superposition,[],[f6110,f54486])). 83.95/12.27 tff(f54486,plain,( 83.95/12.27 empty_set = union(sF14,empty_set) | ~spl19_222), 83.95/12.27 inference(avatar_component_clause,[],[f54485])). 83.95/12.27 tff(f54592,plain,( 83.95/12.27 spl19_231 | ~spl19_20 | ~spl19_222), 83.95/12.27 inference(avatar_split_clause,[],[f54586,f54485,f181,f54590])). 83.95/12.27 tff(f54590,plain,( 83.95/12.27 spl19_231 <=> 0 = cardinality(sF14)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_231])])). 83.95/12.27 tff(f54580,plain,( 83.95/12.27 spl19_230 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_197), 83.95/12.27 inference(avatar_split_clause,[],[f54570,f53961,f1281,f264,f118,f98,f54578])). 83.95/12.27 tff(f54578,plain,( 83.95/12.27 spl19_230 <=> member(sK1,singleton(sK0(union(sF9,empty_set))))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_230])])). 83.95/12.27 tff(f54570,plain,( 83.95/12.27 member(sK1,singleton(sK0(union(sF9,empty_set)))) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61 | ~spl19_197)), 83.95/12.27 inference(resolution,[],[f54509,f198])). 83.95/12.27 tff(f54563,plain,( 83.95/12.27 ~spl19_41 | ~spl19_141 | ~spl19_228), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54562])). 83.95/12.27 tff(f54562,plain,( 83.95/12.27 $false | (~spl19_41 | ~spl19_141 | ~spl19_228)), 83.95/12.27 inference(subsumption_resolution,[],[f54558,f489])). 83.95/12.27 tff(f54558,plain,( 83.95/12.27 ~member(sK1,sF9) | (~spl19_141 | ~spl19_228)), 83.95/12.27 inference(resolution,[],[f54553,f51950])). 83.95/12.27 tff(f54553,plain,( 83.95/12.27 member(sK1,sF11) | ~spl19_228), 83.95/12.27 inference(avatar_component_clause,[],[f54552])). 83.95/12.27 tff(f54557,plain,( 83.95/12.27 spl19_228 | spl19_229 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_98), 83.95/12.27 inference(avatar_split_clause,[],[f54470,f6758,f1281,f264,f122,f118,f98,f54555,f54552])). 83.95/12.27 tff(f54470,plain,( 83.95/12.27 member(sK1,sF11) | 2 = cardinality(union(sF11,sF8)) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_98)), 83.95/12.27 inference(evaluation,[],[f54469])). 83.95/12.27 tff(f54469,plain,( 83.95/12.27 $sum(1,1) = cardinality(union(sF11,sF8)) | member(sK1,sF11) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_98)), 83.95/12.27 inference(forward_demodulation,[],[f54454,f6759])). 83.95/12.27 tff(f54454,plain,( 83.95/12.27 member(sK1,sF11) | $sum(1,cardinality(sF8)) = cardinality(union(sF11,sF8)) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(trivial_inequality_removal,[],[f54441])). 83.95/12.27 tff(f54441,plain,( 83.95/12.27 empty_set != empty_set | $sum(1,cardinality(sF8)) = cardinality(union(sF11,sF8)) | member(sK1,sF11) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f438,f54415])). 83.95/12.27 tff(f54546,plain,( 83.95/12.27 spl19_227 | ~spl19_59 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_98 | spl19_150), 83.95/12.27 inference(avatar_split_clause,[],[f54463,f52379,f6758,f1281,f264,f126,f118,f98,f1016,f54544])). 83.95/12.27 tff(f54463,plain,( 83.95/12.27 1 = cardinality(union(sF13,sF8)) | empty_set != sF13 | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_98 | spl19_150)), 83.95/12.27 inference(forward_demodulation,[],[f54462,f6759])). 83.95/12.27 tff(f54462,plain,( 83.95/12.27 cardinality(sF8) = cardinality(union(sF13,sF8)) | empty_set != sF13 | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_150)), 83.95/12.27 inference(subsumption_resolution,[],[f54444,f52380])). 83.95/12.27 tff(f54444,plain,( 83.95/12.27 member(sK1,sF13) | empty_set != sF13 | cardinality(sF8) = cardinality(union(sF13,sF8)) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f364,f54415])). 83.95/12.27 tff(f54542,plain,( 83.95/12.27 spl19_225 | spl19_207 | spl19_226 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53922,f1281,f264,f158,f98,f54540,f54072,f54537])). 83.95/12.27 tff(f54072,plain,( 83.95/12.27 spl19_207 <=> empty_set = union(sF18,empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_207])])). 83.95/12.27 tff(f53922,plain,( 83.95/12.27 member(sK0(union(sF18,empty_set)),sK5) | member(sK0(union(sF18,empty_set)),sF11) | empty_set = union(sF18,empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f351])). 83.95/12.27 tff(f54535,plain,( 83.95/12.27 spl19_224 | ~spl19_7 | ~spl19_191), 83.95/12.27 inference(avatar_split_clause,[],[f54138,f53939,f114,f54533])). 83.95/12.27 tff(f54138,plain,( 83.95/12.27 member(sK0(union(sK5,empty_set)),sK2) | (~spl19_7 | ~spl19_191)), 83.95/12.27 inference(resolution,[],[f53940,f272])). 83.95/12.27 tff(f54531,plain,( 83.95/12.27 ~spl19_57 | spl19_223 | ~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_98), 83.95/12.27 inference(avatar_split_clause,[],[f54461,f6758,f1281,f264,f122,f118,f98,f54529,f682])). 83.95/12.27 tff(f54461,plain,( 83.95/12.27 1 = cardinality(union(sF11,sF8)) | empty_set != sF11 | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61 | ~spl19_98)), 83.95/12.27 inference(forward_demodulation,[],[f54460,f6759])). 83.95/12.27 tff(f54460,plain,( 83.95/12.27 empty_set != sF11 | cardinality(sF8) = cardinality(union(sF11,sF8)) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f54442,f60])). 83.95/12.27 tff(f54442,plain,( 83.95/12.27 member(sK1,sF11) | empty_set != sF11 | cardinality(sF8) = cardinality(union(sF11,sF8)) | (~spl19_3 | ~spl19_8 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f363,f54415])). 83.95/12.27 tff(f54487,plain,( 83.95/12.27 spl19_220 | spl19_221 | spl19_222 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53920,f1281,f264,f150,f98,f54485,f54482,f54479])). 83.95/12.27 tff(f53920,plain,( 83.95/12.27 member(sK0(union(sF14,empty_set)),sF12) | empty_set = union(sF14,empty_set) | member(sK0(union(sF14,empty_set)),sF13) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f352])). 83.95/12.27 tff(f54477,plain,( 83.95/12.27 spl19_219 | ~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_98 | spl19_150), 83.95/12.27 inference(avatar_split_clause,[],[f54473,f52379,f6758,f1281,f264,f126,f118,f98,f54475])). 83.95/12.27 tff(f54473,plain,( 83.95/12.27 2 = cardinality(union(sF13,sF8)) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_98 | spl19_150)), 83.95/12.27 inference(evaluation,[],[f54472])). 83.95/12.27 tff(f54472,plain,( 83.95/12.27 $sum(1,1) = cardinality(union(sF13,sF8)) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | ~spl19_98 | spl19_150)), 83.95/12.27 inference(forward_demodulation,[],[f54471,f6759])). 83.95/12.27 tff(f54471,plain,( 83.95/12.27 $sum(1,cardinality(sF8)) = cardinality(union(sF13,sF8)) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61 | spl19_150)), 83.95/12.27 inference(subsumption_resolution,[],[f54453,f52380])). 83.95/12.27 tff(f54453,plain,( 83.95/12.27 $sum(1,cardinality(sF8)) = cardinality(union(sF13,sF8)) | member(sK1,sF13) | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(trivial_inequality_removal,[],[f54443])). 83.95/12.27 tff(f54443,plain,( 83.95/12.27 $sum(1,cardinality(sF8)) = cardinality(union(sF13,sF8)) | member(sK1,sF13) | empty_set != empty_set | (~spl19_3 | ~spl19_8 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f439,f54415])). 83.95/12.27 tff(f54200,plain,( 83.95/12.27 spl19_218 | spl19_204 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f54178,f1281,f264,f126,f98,f54035,f54198])). 83.95/12.27 tff(f54035,plain,( 83.95/12.27 spl19_204 <=> empty_set = union(sF13,empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_204])])). 83.95/12.27 tff(f54178,plain,( 83.95/12.27 empty_set = union(sF13,empty_set) | member(sK7,union(sF13,empty_set)) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54161,f127])). 83.95/12.27 tff(f54161,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,union(singleton(X0),empty_set)) | empty_set = union(singleton(X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(duplicate_literal_removal,[],[f54160])). 83.95/12.27 tff(f54160,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,union(singleton(X0),empty_set)) | empty_set = union(singleton(X0),empty_set) | empty_set = union(singleton(X0),empty_set)) ) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f59,f53897])). 83.95/12.27 tff(f54196,plain,( 83.95/12.27 spl19_217 | spl19_192 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f54177,f1281,f264,f118,f98,f53943,f54194])). 83.95/12.27 tff(f54194,plain,( 83.95/12.27 spl19_217 <=> member(sK1,union(sF8,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_217])])). 83.95/12.27 tff(f54177,plain,( 83.95/12.27 empty_set = union(sF8,empty_set) | member(sK1,union(sF8,empty_set)) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54161,f119])). 83.95/12.27 tff(f54190,plain,( 83.95/12.27 spl19_199 | spl19_216 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f54176,f1281,f264,f122,f98,f54188,f53974])). 83.95/12.27 tff(f54188,plain,( 83.95/12.27 spl19_216 <=> member(sK6,union(sF11,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_216])])). 83.95/12.27 tff(f54176,plain,( 83.95/12.27 empty_set = union(sF11,empty_set) | member(sK6,union(sF11,empty_set)) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f54161,f123])). 83.95/12.27 tff(f54168,plain,( 83.95/12.27 spl19_204 | spl19_206 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f54157,f1281,f264,f126,f98,f54068,f54035])). 83.95/12.27 tff(f54068,plain,( 83.95/12.27 spl19_206 <=> sK7 = sK0(union(sF13,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_206])])). 83.95/12.27 tff(f54157,plain,( 83.95/12.27 sK7 = sK0(union(sF13,empty_set)) | empty_set = union(sF13,empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f53897,f127])). 83.95/12.27 tff(f54167,plain,( 83.95/12.27 spl19_201 | spl19_199 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f54155,f1281,f264,f122,f98,f53974,f54006])). 83.95/12.27 tff(f54155,plain,( 83.95/12.27 empty_set = union(sF11,empty_set) | sK6 = sK0(union(sF11,empty_set)) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f53897,f123])). 83.95/12.27 tff(f54152,plain,( 83.95/12.27 ~spl19_215 | spl19_207 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f53921,f52201,f1281,f264,f98,f54072,f54150])). 83.95/12.27 tff(f54150,plain,( 83.95/12.27 spl19_215 <=> member(sK0(union(sF18,empty_set)),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_215])])). 83.95/12.27 tff(f53921,plain,( 83.95/12.27 ~member(sK0(union(sF18,empty_set)),sF13) | empty_set = union(sF18,empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f53895,f52220])). 83.95/12.27 tff(f54135,plain,( 83.95/12.27 ~spl19_122 | ~spl19_207), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54117])). 83.95/12.27 tff(f54117,plain,( 83.95/12.27 $false | (~spl19_122 | ~spl19_207)), 83.95/12.27 inference(resolution,[],[f54083,f33494])). 83.95/12.27 tff(f33494,plain,( 83.95/12.27 member(sK0(complement(complement(sF9))),sF18) | ~spl19_122), 83.95/12.27 inference(avatar_component_clause,[],[f33493])). 83.95/12.27 tff(f54083,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sF18)) ) | ~spl19_207), 83.95/12.27 inference(subsumption_resolution,[],[f54080,f162])). 83.95/12.27 tff(f54080,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sF18) | member(X0,empty_set)) ) | ~spl19_207), 83.95/12.27 inference(superposition,[],[f54,f54073])). 83.95/12.27 tff(f54073,plain,( 83.95/12.27 empty_set = union(sF18,empty_set) | ~spl19_207), 83.95/12.27 inference(avatar_component_clause,[],[f54072])). 83.95/12.27 tff(f54134,plain,( 83.95/12.27 ~spl19_109 | ~spl19_207), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54114])). 83.95/12.27 tff(f54114,plain,( 83.95/12.27 $false | (~spl19_109 | ~spl19_207)), 83.95/12.27 inference(resolution,[],[f54083,f11336])). 83.95/12.27 tff(f54133,plain,( 83.95/12.27 ~spl19_115 | ~spl19_207), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54115])). 83.95/12.27 tff(f54115,plain,( 83.95/12.27 $false | (~spl19_115 | ~spl19_207)), 83.95/12.27 inference(resolution,[],[f54083,f11926])). 83.95/12.27 tff(f54132,plain,( 83.95/12.27 ~spl19_131 | ~spl19_207), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54119])). 83.95/12.27 tff(f54119,plain,( 83.95/12.27 $false | (~spl19_131 | ~spl19_207)), 83.95/12.27 inference(resolution,[],[f54083,f38999])). 83.95/12.27 tff(f54131,plain,( 83.95/12.27 ~spl19_48 | ~spl19_207), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54127])). 83.95/12.27 tff(f54127,plain,( 83.95/12.27 $false | (~spl19_48 | ~spl19_207)), 83.95/12.27 inference(resolution,[],[f54083,f536])). 83.95/12.27 tff(f54130,plain,( 83.95/12.27 ~spl19_45 | ~spl19_207), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54128])). 83.95/12.27 tff(f54128,plain,( 83.95/12.27 $false | (~spl19_45 | ~spl19_207)), 83.95/12.27 inference(resolution,[],[f54083,f514])). 83.95/12.27 tff(f54129,plain,( 83.95/12.27 ~spl19_84 | ~spl19_207), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54118])). 83.95/12.27 tff(f54118,plain,( 83.95/12.27 $false | (~spl19_84 | ~spl19_207)), 83.95/12.27 inference(resolution,[],[f54083,f2011])). 83.95/12.27 tff(f54107,plain,( 83.95/12.27 spl19_204 | ~spl19_214 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_146), 83.95/12.27 inference(avatar_split_clause,[],[f53917,f52205,f1281,f264,f98,f54105,f54035])). 83.95/12.27 tff(f54105,plain,( 83.95/12.27 spl19_214 <=> member(sK0(union(sF13,empty_set)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_214])])). 83.95/12.27 tff(f53917,plain,( 83.95/12.27 ~member(sK0(union(sF13,empty_set)),sF9) | empty_set = union(sF13,empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_146)), 83.95/12.27 inference(resolution,[],[f53895,f52235])). 83.95/12.27 tff(f54103,plain,( 83.95/12.27 spl19_213 | spl19_196 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_92), 83.95/12.27 inference(avatar_split_clause,[],[f53908,f5066,f1281,f264,f98,f53957,f54101])). 83.95/12.27 tff(f53908,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sK2) | empty_set = union(sF9,empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_92)), 83.95/12.27 inference(resolution,[],[f53895,f5553])). 83.95/12.27 tff(f54099,plain,( 83.95/12.27 spl19_204 | ~spl19_212 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_164), 83.95/12.27 inference(avatar_split_clause,[],[f53916,f52974,f1281,f264,f98,f54097,f54035])). 83.95/12.27 tff(f54097,plain,( 83.95/12.27 spl19_212 <=> member(sK0(union(sF13,empty_set)),sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_212])])). 83.95/12.27 tff(f53916,plain,( 83.95/12.27 empty_set = union(sF13,empty_set) | ~member(sK0(union(sF13,empty_set)),sK5) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_164)), 83.95/12.27 inference(resolution,[],[f53895,f52998])). 83.95/12.27 tff(f54095,plain,( 83.95/12.27 spl19_196 | spl19_211 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_95), 83.95/12.27 inference(avatar_split_clause,[],[f53909,f5373,f1281,f264,f98,f54093,f53957])). 83.95/12.27 tff(f53909,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sF18) | empty_set = union(sF9,empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_95)), 83.95/12.27 inference(resolution,[],[f53895,f5437])). 83.95/12.27 tff(f54091,plain,( 83.95/12.27 spl19_199 | ~spl19_210 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141), 83.95/12.27 inference(avatar_split_clause,[],[f53911,f51939,f1281,f264,f98,f54089,f53974])). 83.95/12.27 tff(f54089,plain,( 83.95/12.27 spl19_210 <=> member(sK0(union(sF11,empty_set)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_210])])). 83.95/12.27 tff(f53911,plain,( 83.95/12.27 ~member(sK0(union(sF11,empty_set)),sF9) | empty_set = union(sF11,empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_141)), 83.95/12.27 inference(resolution,[],[f53895,f51950])). 83.95/12.27 tff(f54087,plain,( 83.95/12.27 spl19_209 | spl19_196 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66), 83.95/12.27 inference(avatar_split_clause,[],[f54043,f1443,f1281,f264,f98,f53957,f54085])). 83.95/12.27 tff(f54043,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sF12) | empty_set = union(sF9,empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_66)), 83.95/12.27 inference(resolution,[],[f53667,f53895])). 83.95/12.27 tff(f54077,plain,( 83.95/12.27 spl19_207 | spl19_208 | ~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53923,f1281,f264,f114,f98,f54075,f54072])). 83.95/12.27 tff(f53923,plain,( 83.95/12.27 empty_set = union(sF18,empty_set) | member(sK0(union(sF18,empty_set)),sK2) | (~spl19_3 | ~spl19_7 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f272])). 83.95/12.27 tff(f54070,plain,( 83.95/12.27 spl19_206 | spl19_204 | ~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53919,f1281,f264,f126,f98,f54035,f54068])). 83.95/12.27 tff(f53919,plain,( 83.95/12.27 sK7 = sK0(union(sF13,empty_set)) | empty_set = union(sF13,empty_set) | (~spl19_3 | ~spl19_10 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f206])). 83.95/12.27 tff(f54066,plain,( 83.95/12.27 ~spl19_20 | ~spl19_103 | ~spl19_204), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54065])). 83.95/12.27 tff(f54065,plain,( 83.95/12.27 $false | (~spl19_20 | ~spl19_103 | ~spl19_204)), 83.95/12.27 inference(evaluation,[],[f54064])). 83.95/12.27 tff(f54064,plain,( 83.95/12.27 0 = 1 | (~spl19_20 | ~spl19_103 | ~spl19_204)), 83.95/12.27 inference(forward_demodulation,[],[f54050,f182])). 83.95/12.27 tff(f54050,plain,( 83.95/12.27 1 = cardinality(empty_set) | (~spl19_103 | ~spl19_204)), 83.95/12.27 inference(backward_demodulation,[],[f6918,f54036])). 83.95/12.27 tff(f54036,plain,( 83.95/12.27 empty_set = union(sF13,empty_set) | ~spl19_204), 83.95/12.27 inference(avatar_component_clause,[],[f54035])). 83.95/12.27 tff(f6918,plain,( 83.95/12.27 1 = cardinality(union(sF13,empty_set)) | ~spl19_103), 83.95/12.27 inference(avatar_component_clause,[],[f6917])). 83.95/12.27 tff(f6917,plain,( 83.95/12.27 spl19_103 <=> 1 = cardinality(union(sF13,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_103])])). 83.95/12.27 tff(f54063,plain,( 83.95/12.27 ~spl19_20 | ~spl19_100 | ~spl19_204), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54062])). 83.95/12.27 tff(f54062,plain,( 83.95/12.27 $false | (~spl19_20 | ~spl19_100 | ~spl19_204)), 83.95/12.27 inference(evaluation,[],[f54061])). 83.95/12.27 tff(f54061,plain,( 83.95/12.27 0 = 1 | (~spl19_20 | ~spl19_100 | ~spl19_204)), 83.95/12.27 inference(forward_demodulation,[],[f54060,f182])). 83.95/12.27 tff(f54060,plain,( 83.95/12.27 1 = cardinality(empty_set) | (~spl19_20 | ~spl19_100 | ~spl19_204)), 83.95/12.27 inference(forward_demodulation,[],[f54051,f6795])). 83.95/12.27 tff(f54051,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(sF13) | (~spl19_20 | ~spl19_204)), 83.95/12.27 inference(superposition,[],[f6110,f54036])). 83.95/12.27 tff(f54040,plain,( 83.95/12.27 spl19_204 | spl19_205 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53918,f1281,f264,f150,f98,f54038,f54035])). 83.95/12.27 tff(f54038,plain,( 83.95/12.27 spl19_205 <=> member(sK0(union(sF13,empty_set)),sF14)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_205])])). 83.95/12.27 tff(f53918,plain,( 83.95/12.27 member(sK0(union(sF13,empty_set)),sF14) | empty_set = union(sF13,empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f239])). 83.95/12.27 tff(f54033,plain,( 83.95/12.27 ~spl19_20 | ~spl19_169 | ~spl19_203), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54032])). 83.95/12.27 tff(f54032,plain,( 83.95/12.27 $false | (~spl19_20 | ~spl19_169 | ~spl19_203)), 83.95/12.27 inference(evaluation,[],[f54031])). 83.95/12.27 tff(f54031,plain,( 83.95/12.27 0 = 2 | (~spl19_20 | ~spl19_169 | ~spl19_203)), 83.95/12.27 inference(forward_demodulation,[],[f54030,f182])). 83.95/12.27 tff(f54030,plain,( 83.95/12.27 cardinality(empty_set) = 2 | (~spl19_20 | ~spl19_169 | ~spl19_203)), 83.95/12.27 inference(forward_demodulation,[],[f54025,f53131])). 83.95/12.27 tff(f54025,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(sF12) | (~spl19_20 | ~spl19_203)), 83.95/12.27 inference(superposition,[],[f6110,f54014])). 83.95/12.27 tff(f54014,plain,( 83.95/12.27 empty_set = union(sF12,empty_set) | ~spl19_203), 83.95/12.27 inference(avatar_component_clause,[],[f54013])). 83.95/12.27 tff(f54024,plain,( 83.95/12.27 ~spl19_20 | ~spl19_99 | ~spl19_196), 83.95/12.27 inference(avatar_contradiction_clause,[],[f54023])). 83.95/12.27 tff(f54023,plain,( 83.95/12.27 $false | (~spl19_20 | ~spl19_99 | ~spl19_196)), 83.95/12.27 inference(evaluation,[],[f54022])). 83.95/12.27 tff(f54022,plain,( 83.95/12.27 0 = 1 | (~spl19_20 | ~spl19_99 | ~spl19_196)), 83.95/12.27 inference(forward_demodulation,[],[f54021,f182])). 83.95/12.27 tff(f54021,plain,( 83.95/12.27 1 = cardinality(empty_set) | (~spl19_20 | ~spl19_99 | ~spl19_196)), 83.95/12.27 inference(forward_demodulation,[],[f54016,f6763])). 83.95/12.27 tff(f54016,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(sF9) | (~spl19_20 | ~spl19_196)), 83.95/12.27 inference(superposition,[],[f6110,f53958])). 83.95/12.27 tff(f53958,plain,( 83.95/12.27 empty_set = union(sF9,empty_set) | ~spl19_196), 83.95/12.27 inference(avatar_component_clause,[],[f53957])). 83.95/12.27 tff(f54015,plain,( 83.95/12.27 spl19_202 | spl19_203 | ~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53915,f1281,f264,f150,f98,f54013,f54010])). 83.95/12.27 tff(f54010,plain,( 83.95/12.27 spl19_202 <=> member(sK0(union(sF12,empty_set)),sF14)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_202])])). 83.95/12.27 tff(f53915,plain,( 83.95/12.27 member(sK0(union(sF12,empty_set)),sF14) | empty_set = union(sF12,empty_set) | (~spl19_3 | ~spl19_16 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f244])). 83.95/12.27 tff(f54008,plain,( 83.95/12.27 spl19_201 | spl19_199 | ~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53914,f1281,f264,f122,f98,f53974,f54006])). 83.95/12.27 tff(f53914,plain,( 83.95/12.27 sK6 = sK0(union(sF11,empty_set)) | empty_set = union(sF11,empty_set) | (~spl19_3 | ~spl19_9 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f205])). 83.95/12.27 tff(f54004,plain,( 83.95/12.27 spl19_199 | spl19_200 | ~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53913,f1281,f264,f146,f98,f54002,f53974])). 83.95/12.27 tff(f54002,plain,( 83.95/12.27 spl19_200 <=> member(sK0(union(sF11,empty_set)),sF12)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_200])])). 83.95/12.27 tff(f53913,plain,( 83.95/12.27 empty_set = union(sF11,empty_set) | member(sK0(union(sF11,empty_set)),sF12) | (~spl19_3 | ~spl19_15 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f237])). 83.95/12.27 tff(f54000,plain,( 83.95/12.27 ~spl19_42 | ~spl19_190), 83.95/12.27 inference(avatar_contradiction_clause,[],[f53994])). 83.95/12.27 tff(f53994,plain,( 83.95/12.27 $false | (~spl19_42 | ~spl19_190)), 83.95/12.27 inference(resolution,[],[f53969,f494])). 83.95/12.27 tff(f53969,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sK5)) ) | ~spl19_190), 83.95/12.27 inference(subsumption_resolution,[],[f53966,f162])). 83.95/12.27 tff(f53966,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sK5) | member(X0,empty_set)) ) | ~spl19_190), 83.95/12.27 inference(superposition,[],[f54,f53937])). 83.95/12.27 tff(f53937,plain,( 83.95/12.27 empty_set = union(sK5,empty_set) | ~spl19_190), 83.95/12.27 inference(avatar_component_clause,[],[f53936])). 83.95/12.27 tff(f53999,plain,( 83.95/12.27 ~spl19_118 | ~spl19_190), 83.95/12.27 inference(avatar_contradiction_clause,[],[f53981])). 83.95/12.27 tff(f53981,plain,( 83.95/12.27 $false | (~spl19_118 | ~spl19_190)), 83.95/12.27 inference(resolution,[],[f53969,f12557])). 83.95/12.27 tff(f53998,plain,( 83.95/12.27 ~spl19_121 | ~spl19_190), 83.95/12.27 inference(avatar_contradiction_clause,[],[f53984])). 83.95/12.27 tff(f53984,plain,( 83.95/12.27 $false | (~spl19_121 | ~spl19_190)), 83.95/12.27 inference(resolution,[],[f53969,f31141])). 83.95/12.27 tff(f53997,plain,( 83.95/12.27 ~spl19_107 | ~spl19_190), 83.95/12.27 inference(avatar_contradiction_clause,[],[f53980])). 83.95/12.27 tff(f53980,plain,( 83.95/12.27 $false | (~spl19_107 | ~spl19_190)), 83.95/12.27 inference(resolution,[],[f53969,f11217])). 83.95/12.27 tff(f53996,plain,( 83.95/12.27 ~spl19_105 | ~spl19_190), 83.95/12.27 inference(avatar_contradiction_clause,[],[f53985])). 83.95/12.27 tff(f53985,plain,( 83.95/12.27 $false | (~spl19_105 | ~spl19_190)), 83.95/12.27 inference(resolution,[],[f53969,f9609])). 83.95/12.27 tff(f53995,plain,( 83.95/12.27 ~spl19_130 | ~spl19_190), 83.95/12.27 inference(avatar_contradiction_clause,[],[f53986])). 83.95/12.27 tff(f53986,plain,( 83.95/12.27 $false | (~spl19_130 | ~spl19_190)), 83.95/12.27 inference(resolution,[],[f53969,f38992])). 83.95/12.27 tff(f53976,plain,( 83.95/12.27 spl19_198 | spl19_199 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53912,f1281,f264,f158,f98,f53974,f53971])). 83.95/12.27 tff(f53971,plain,( 83.95/12.27 spl19_198 <=> member(sK0(union(sF11,empty_set)),sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_198])])). 83.95/12.27 tff(f53912,plain,( 83.95/12.27 member(sK0(union(sF11,empty_set)),sF18) | empty_set = union(sF11,empty_set) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f238])). 83.95/12.27 tff(f53963,plain,( 83.95/12.27 spl19_196 | spl19_197 | ~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64), 83.95/12.27 inference(avatar_split_clause,[],[f53910,f1429,f1281,f264,f98,f53961,f53957])). 83.95/12.27 tff(f53910,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sF8) | empty_set = union(sF9,empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61 | ~spl19_64)), 83.95/12.27 inference(resolution,[],[f53895,f2677])). 83.95/12.27 tff(f53959,plain,( 83.95/12.27 spl19_195 | spl19_196 | ~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53907,f1281,f264,f106,f98,f53957,f53954])). 83.95/12.27 tff(f53907,plain,( 83.95/12.27 member(sK0(union(sF9,empty_set)),sK5) | empty_set = union(sF9,empty_set) | (~spl19_3 | ~spl19_5 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f271])). 83.95/12.27 tff(f53952,plain,( 83.95/12.27 spl19_194 | spl19_192 | ~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53906,f1281,f264,f118,f98,f53943,f53950])). 83.95/12.27 tff(f53950,plain,( 83.95/12.27 spl19_194 <=> sK1 = sK0(union(sF8,empty_set))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_194])])). 83.95/12.27 tff(f53906,plain,( 83.95/12.27 sK1 = sK0(union(sF8,empty_set)) | empty_set = union(sF8,empty_set) | (~spl19_3 | ~spl19_8 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f204])). 83.95/12.27 tff(f53948,plain,( 83.95/12.27 spl19_192 | spl19_193 | ~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53905,f1281,f264,f138,f98,f53946,f53943])). 83.95/12.27 tff(f53946,plain,( 83.95/12.27 spl19_193 <=> member(sK0(union(sF8,empty_set)),sF9)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_193])])). 83.95/12.27 tff(f53905,plain,( 83.95/12.27 member(sK0(union(sF8,empty_set)),sF9) | empty_set = union(sF8,empty_set) | (~spl19_3 | ~spl19_13 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f235])). 83.95/12.27 tff(f53941,plain,( 83.95/12.27 spl19_190 | spl19_191 | ~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53904,f1281,f264,f158,f98,f53939,f53936])). 83.95/12.27 tff(f53904,plain,( 83.95/12.27 empty_set = union(sK5,empty_set) | member(sK0(union(sK5,empty_set)),sF18) | (~spl19_3 | ~spl19_18 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f243])). 83.95/12.27 tff(f53927,plain,( 83.95/12.27 spl19_189 | ~spl19_3 | ~spl19_26 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53896,f1281,f264,f98,f53925])). 83.95/12.27 tff(f53925,plain,( 83.95/12.27 spl19_189 <=> empty_set = union(empty_set,empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_189])])). 83.95/12.27 tff(f53896,plain,( 83.95/12.27 empty_set = union(empty_set,empty_set) | (~spl19_3 | ~spl19_26 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53895,f162])). 83.95/12.27 tff(f53865,plain,( 83.95/12.27 ~spl19_59 | ~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_103 | ~spl19_177), 83.95/12.27 inference(avatar_split_clause,[],[f53861,f53427,f6917,f264,f181,f126,f1016])). 83.95/12.27 tff(f53861,plain,( 83.95/12.27 empty_set != sF13 | (~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_103 | ~spl19_177)), 83.95/12.27 inference(evaluation,[],[f53860])). 83.95/12.27 tff(f53860,plain,( 83.95/12.27 0 = 1 | empty_set != sF13 | (~spl19_10 | ~spl19_20 | ~spl19_26 | ~spl19_103 | ~spl19_177)), 83.95/12.27 inference(forward_demodulation,[],[f53859,f182])). 83.95/12.27 tff(f53859,plain,( 83.95/12.27 empty_set != sF13 | 1 = cardinality(empty_set) | (~spl19_10 | ~spl19_26 | ~spl19_103 | ~spl19_177)), 83.95/12.27 inference(forward_demodulation,[],[f53858,f6918])). 83.95/12.27 tff(f53858,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(union(sF13,empty_set)) | empty_set != sF13 | (~spl19_10 | ~spl19_26 | ~spl19_177)), 83.95/12.27 inference(forward_demodulation,[],[f53630,f265])). 83.95/12.27 tff(f53630,plain,( 83.95/12.27 cardinality(sK3) = cardinality(union(sF13,sK3)) | empty_set != sF13 | (~spl19_10 | ~spl19_177)), 83.95/12.27 inference(superposition,[],[f364,f53616])). 83.95/12.27 tff(f53857,plain,( 83.95/12.27 ~spl19_57 | ~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_101 | ~spl19_177), 83.95/12.27 inference(avatar_split_clause,[],[f53856,f53427,f6909,f264,f181,f122,f682])). 83.95/12.27 tff(f53856,plain,( 83.95/12.27 empty_set != sF11 | (~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_101 | ~spl19_177)), 83.95/12.27 inference(evaluation,[],[f53855])). 83.95/12.27 tff(f53855,plain,( 83.95/12.27 empty_set != sF11 | 0 = 1 | (~spl19_9 | ~spl19_20 | ~spl19_26 | ~spl19_101 | ~spl19_177)), 83.95/12.27 inference(forward_demodulation,[],[f53854,f182])). 83.95/12.27 tff(f53854,plain,( 83.95/12.27 empty_set != sF11 | 1 = cardinality(empty_set) | (~spl19_9 | ~spl19_26 | ~spl19_101 | ~spl19_177)), 83.95/12.27 inference(forward_demodulation,[],[f53853,f6910])). 83.95/12.27 tff(f53853,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(union(sF11,empty_set)) | empty_set != sF11 | (~spl19_9 | ~spl19_26 | ~spl19_177)), 83.95/12.27 inference(forward_demodulation,[],[f53628,f265])). 83.95/12.27 tff(f53628,plain,( 83.95/12.27 cardinality(sK3) = cardinality(union(sF11,sK3)) | empty_set != sF11 | (~spl19_9 | ~spl19_177)), 83.95/12.27 inference(superposition,[],[f363,f53616])). 83.95/12.27 tff(f53852,plain,( 83.95/12.27 ~spl19_55 | ~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_102 | ~spl19_177), 83.95/12.27 inference(avatar_split_clause,[],[f53851,f53427,f6913,f264,f181,f118,f607])). 83.95/12.27 tff(f53851,plain,( 83.95/12.27 empty_set != sF8 | (~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_102 | ~spl19_177)), 83.95/12.27 inference(evaluation,[],[f53850])). 83.95/12.27 tff(f53850,plain,( 83.95/12.27 empty_set != sF8 | 0 = 1 | (~spl19_8 | ~spl19_20 | ~spl19_26 | ~spl19_102 | ~spl19_177)), 83.95/12.27 inference(forward_demodulation,[],[f53849,f182])). 83.95/12.27 tff(f53849,plain,( 83.95/12.27 1 = cardinality(empty_set) | empty_set != sF8 | (~spl19_8 | ~spl19_26 | ~spl19_102 | ~spl19_177)), 83.95/12.27 inference(forward_demodulation,[],[f53848,f6914])). 83.95/12.27 tff(f53848,plain,( 83.95/12.27 cardinality(empty_set) = cardinality(union(sF8,empty_set)) | empty_set != sF8 | (~spl19_8 | ~spl19_26 | ~spl19_177)), 83.95/12.27 inference(forward_demodulation,[],[f53625,f265])). 83.95/12.27 tff(f53625,plain,( 83.95/12.27 cardinality(sK3) = cardinality(union(sF8,sK3)) | empty_set != sF8 | (~spl19_8 | ~spl19_177)), 83.95/12.27 inference(superposition,[],[f362,f53616])). 83.95/12.27 tff(f53835,plain,( 83.95/12.27 ~spl19_59 | spl19_188 | ~spl19_10 | ~spl19_164), 83.95/12.27 inference(avatar_split_clause,[],[f52990,f52974,f126,f53833,f1016])). 83.95/12.27 tff(f53833,plain,( 83.95/12.27 spl19_188 <=> cardinality(union(sF13,sK5)) = cardinality(sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_188])])). 83.95/12.27 tff(f52990,plain,( 83.95/12.27 empty_set != sF13 | cardinality(union(sF13,sK5)) = cardinality(sK5) | (~spl19_10 | ~spl19_164)), 83.95/12.27 inference(superposition,[],[f364,f52975])). 83.95/12.27 tff(f53792,plain,( 83.95/12.27 spl19_187 | ~spl19_100 | ~spl19_172), 83.95/12.27 inference(avatar_split_clause,[],[f53481,f53317,f6794,f53790])). 83.95/12.27 tff(f53790,plain,( 83.95/12.27 spl19_187 <=> $sum(1,cardinality(sK5)) = cardinality(union(sK5,sF13))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_187])])). 83.95/12.27 tff(f53317,plain,( 83.95/12.27 spl19_172 <=> empty_set = intersection(sK5,sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_172])])). 83.95/12.27 tff(f53481,plain,( 83.95/12.27 $sum(1,cardinality(sK5)) = cardinality(union(sK5,sF13)) | (~spl19_100 | ~spl19_172)), 83.95/12.27 inference(forward_demodulation,[],[f53480,f15])). 83.95/12.27 tff(f53480,plain,( 83.95/12.27 cardinality(union(sK5,sF13)) = $sum(cardinality(sK5),1) | (~spl19_100 | ~spl19_172)), 83.95/12.27 inference(forward_demodulation,[],[f53479,f6795])). 83.95/12.27 tff(f53479,plain,( 83.95/12.27 $sum(cardinality(sK5),cardinality(sF13)) = cardinality(union(sK5,sF13)) | ~spl19_172), 83.95/12.27 inference(trivial_inequality_removal,[],[f53475])). 83.95/12.27 tff(f53475,plain,( 83.95/12.27 $sum(cardinality(sK5),cardinality(sF13)) = cardinality(union(sK5,sF13)) | empty_set != empty_set | ~spl19_172), 83.95/12.27 inference(superposition,[],[f73,f53318])). 83.95/12.27 tff(f53318,plain,( 83.95/12.27 empty_set = intersection(sK5,sF13) | ~spl19_172), 83.95/12.27 inference(avatar_component_clause,[],[f53317])). 83.95/12.27 tff(f53783,plain,( 83.95/12.27 spl19_186 | ~spl19_100 | ~spl19_171), 83.95/12.27 inference(avatar_split_clause,[],[f53326,f53313,f6794,f53781])). 83.95/12.27 tff(f53781,plain,( 83.95/12.27 spl19_186 <=> $sum(1,cardinality(sF18)) = cardinality(union(sF18,sF13))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_186])])). 83.95/12.27 tff(f53326,plain,( 83.95/12.27 $sum(1,cardinality(sF18)) = cardinality(union(sF18,sF13)) | (~spl19_100 | ~spl19_171)), 83.95/12.27 inference(forward_demodulation,[],[f53325,f15])). 83.95/12.27 tff(f53325,plain,( 83.95/12.27 $sum(cardinality(sF18),1) = cardinality(union(sF18,sF13)) | (~spl19_100 | ~spl19_171)), 83.95/12.27 inference(forward_demodulation,[],[f53324,f6795])). 83.95/12.27 tff(f53324,plain,( 83.95/12.27 cardinality(union(sF18,sF13)) = $sum(cardinality(sF18),cardinality(sF13)) | ~spl19_171), 83.95/12.27 inference(trivial_inequality_removal,[],[f53320])). 83.95/12.27 tff(f53320,plain,( 83.95/12.27 empty_set != empty_set | cardinality(union(sF18,sF13)) = $sum(cardinality(sF18),cardinality(sF13)) | ~spl19_171), 83.95/12.27 inference(superposition,[],[f73,f53314])). 83.95/12.27 tff(f53748,plain,( 83.95/12.27 spl19_26 | ~spl19_177 | ~spl19_185), 83.95/12.27 inference(avatar_split_clause,[],[f53737,f53681,f53427,f264])). 83.95/12.27 tff(f53681,plain,( 83.95/12.27 spl19_185 <=> sF9 = union(sK3,sF8)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_185])])). 83.95/12.27 tff(f53737,plain,( 83.95/12.27 empty_set = sK3 | (~spl19_177 | ~spl19_185)), 83.95/12.27 inference(resolution,[],[f53736,f59])). 83.95/12.27 tff(f53736,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sK3)) ) | (~spl19_177 | ~spl19_185)), 83.95/12.27 inference(subsumption_resolution,[],[f53732,f53642])). 83.95/12.27 tff(f53642,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,sK3) | ~member(X1,X0)) ) | ~spl19_177), 83.95/12.27 inference(subsumption_resolution,[],[f53632,f162])). 83.95/12.27 tff(f53632,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,empty_set) | ~member(X1,sK3) | ~member(X1,X0)) ) | ~spl19_177), 83.95/12.27 inference(superposition,[],[f46,f53616])). 83.95/12.27 tff(f53732,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,sF9) | ~member(X0,sK3)) ) | ~spl19_185), 83.95/12.27 inference(superposition,[],[f54,f53682])). 83.95/12.27 tff(f53682,plain,( 83.95/12.27 sF9 = union(sK3,sF8) | ~spl19_185), 83.95/12.27 inference(avatar_component_clause,[],[f53681])). 83.95/12.27 tff(f53683,plain,( 83.95/12.27 spl19_185 | ~spl19_14 | ~spl19_65), 83.95/12.27 inference(avatar_split_clause,[],[f53579,f1439,f142,f53681])). 83.95/12.27 tff(f1439,plain,( 83.95/12.27 spl19_65 <=> sF9 = sF10), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_65])])). 83.95/12.27 tff(f53579,plain,( 83.95/12.27 sF9 = union(sK3,sF8) | (~spl19_14 | ~spl19_65)), 83.95/12.27 inference(forward_demodulation,[],[f143,f1440])). 83.95/12.27 tff(f1440,plain,( 83.95/12.27 sF9 = sF10 | ~spl19_65), 83.95/12.27 inference(avatar_component_clause,[],[f1439])). 83.95/12.27 tff(f53563,plain,( 83.95/12.27 ~spl19_59 | spl19_183 | ~spl19_3 | ~spl19_10 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53535,f1281,f126,f98,f53465,f1016])). 83.95/12.27 tff(f53465,plain,( 83.95/12.27 spl19_183 <=> cardinality(sK3) = cardinality(union(sF13,sK3))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_183])])). 83.95/12.27 tff(f53535,plain,( 83.95/12.27 cardinality(sK3) = cardinality(union(sF13,sK3)) | empty_set != sF13 | (~spl19_3 | ~spl19_10 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f364,f53498])). 83.95/12.27 tff(f53498,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(X0,sK3)) ) | (~spl19_3 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53489,f234])). 83.95/12.27 tff(f53489,plain,( 83.95/12.27 ( ! [X1 : element] : (~member(X1,sK3)) ) | (~spl19_3 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f53407,f53403])). 83.95/12.27 tff(f53403,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,sK3) | ~member(X1,X0)) ) | (~spl19_3 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f53399,f162])). 83.95/12.27 tff(f53399,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,X0) | member(X1,empty_set) | ~member(X1,sK3)) ) | (~spl19_3 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f46,f53368])). 83.95/12.27 tff(f53368,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = intersection(sK3,X0)) ) | (~spl19_3 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53340,f233])). 83.95/12.27 tff(f53407,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (~member(X1,sK3) | member(X1,X0)) ) | (~spl19_3 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f53404,f162])). 83.95/12.27 tff(f53404,plain,( 83.95/12.27 ( ! [X0 : set,X1 : element] : (member(X1,X0) | member(X1,empty_set) | ~member(X1,sK3)) ) | (~spl19_3 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f61,f53369])). 83.95/12.27 tff(f53369,plain,( 83.95/12.27 ( ! [X0 : set] : (empty_set = difference(sK3,X0)) ) | (~spl19_3 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53340,f245])). 83.95/12.27 tff(f53562,plain,( 83.95/12.27 ~spl19_57 | spl19_182 | ~spl19_3 | ~spl19_9 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53533,f1281,f122,f98,f53461,f682])). 83.95/12.27 tff(f53461,plain,( 83.95/12.27 spl19_182 <=> cardinality(sK3) = cardinality(union(sF11,sK3))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_182])])). 83.95/12.27 tff(f53533,plain,( 83.95/12.27 cardinality(sK3) = cardinality(union(sF11,sK3)) | empty_set != sF11 | (~spl19_3 | ~spl19_9 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f363,f53498])). 83.95/12.27 tff(f53548,plain,( 83.95/12.27 ~spl19_55 | spl19_181 | ~spl19_3 | ~spl19_8 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53530,f1281,f118,f98,f53451,f607])). 83.95/12.27 tff(f53451,plain,( 83.95/12.27 spl19_181 <=> cardinality(sK3) = cardinality(union(sF8,sK3))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_181])])). 83.95/12.27 tff(f53530,plain,( 83.95/12.27 cardinality(sK3) = cardinality(union(sF8,sK3)) | empty_set != sF8 | (~spl19_3 | ~spl19_8 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f362,f53498])). 83.95/12.27 tff(f53493,plain,( 83.95/12.27 spl19_184 | ~spl19_12 | ~spl19_27), 83.95/12.27 inference(avatar_split_clause,[],[f53488,f267,f134,f53491])). 83.95/12.27 tff(f53491,plain,( 83.95/12.27 spl19_184 <=> 0 = cardinality(sK3)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_184])])). 83.95/12.27 tff(f267,plain,( 83.95/12.27 spl19_27 <=> 0 = sF16), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_27])])). 83.95/12.27 tff(f53488,plain,( 83.95/12.27 0 = cardinality(sK3) | (~spl19_12 | ~spl19_27)), 83.95/12.27 inference(forward_demodulation,[],[f135,f453])). 83.95/12.27 tff(f453,plain,( 83.95/12.27 0 = sF16 | ~spl19_27), 83.95/12.27 inference(avatar_component_clause,[],[f267])). 83.95/12.27 tff(f53474,plain,( 83.95/12.27 spl19_26 | ~spl19_177), 83.95/12.27 inference(avatar_split_clause,[],[f53454,f53427,f264])). 83.95/12.27 tff(f53454,plain,( 83.95/12.27 empty_set = sK3 | ~spl19_177), 83.95/12.27 inference(resolution,[],[f53446,f59])). 83.95/12.27 tff(f53446,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sK3)) ) | ~spl19_177), 83.95/12.27 inference(resolution,[],[f53437,f58])). 83.95/12.27 tff(f53437,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(sK3))) ) | ~spl19_177), 83.95/12.27 inference(subsumption_resolution,[],[f53436,f162])). 83.95/12.27 tff(f53436,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(sK3)) | member(X0,empty_set)) ) | ~spl19_177), 83.95/12.27 inference(superposition,[],[f57,f53428])). 83.95/12.27 tff(f53467,plain,( 83.95/12.27 spl19_183 | ~spl19_59 | ~spl19_3 | ~spl19_10 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53413,f1281,f126,f98,f1016,f53465])). 83.95/12.27 tff(f53413,plain,( 83.95/12.27 cardinality(sK3) = cardinality(union(sF13,sK3)) | empty_set != sF13 | (~spl19_3 | ~spl19_10 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f364,f53371])). 83.95/12.27 tff(f53463,plain,( 83.95/12.27 spl19_182 | ~spl19_57 | ~spl19_3 | ~spl19_9 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53411,f1281,f122,f98,f682,f53461])). 83.95/12.27 tff(f53411,plain,( 83.95/12.27 cardinality(sK3) = cardinality(union(sF11,sK3)) | empty_set != sF11 | (~spl19_3 | ~spl19_9 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f363,f53371])). 83.95/12.27 tff(f53453,plain,( 83.95/12.27 ~spl19_55 | spl19_181 | ~spl19_3 | ~spl19_8 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53408,f1281,f118,f98,f53451,f607])). 83.95/12.27 tff(f53408,plain,( 83.95/12.27 cardinality(sK3) = cardinality(union(sF8,sK3)) | empty_set != sF8 | (~spl19_3 | ~spl19_8 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f362,f53371])). 83.95/12.27 tff(f53445,plain,( 83.95/12.27 spl19_180 | ~spl19_3 | ~spl19_10 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53424,f1281,f126,f98,f53443])). 83.95/12.27 tff(f53443,plain,( 83.95/12.27 spl19_180 <=> $sum(1,cardinality(sK3)) = cardinality(union(sF13,sK3))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_180])])). 83.95/12.27 tff(f53424,plain,( 83.95/12.27 $sum(1,cardinality(sK3)) = cardinality(union(sF13,sK3)) | (~spl19_3 | ~spl19_10 | ~spl19_61)), 83.95/12.27 inference(trivial_inequality_removal,[],[f53412])). 83.95/12.27 tff(f53412,plain,( 83.95/12.27 $sum(1,cardinality(sK3)) = cardinality(union(sF13,sK3)) | empty_set != empty_set | (~spl19_3 | ~spl19_10 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f439,f53371])). 83.95/12.27 tff(f53441,plain,( 83.95/12.27 spl19_179 | ~spl19_3 | ~spl19_9 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53422,f1281,f122,f98,f53439])). 83.95/12.27 tff(f53439,plain,( 83.95/12.27 spl19_179 <=> $sum(1,cardinality(sK3)) = cardinality(union(sF11,sK3))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_179])])). 83.95/12.27 tff(f53422,plain,( 83.95/12.27 $sum(1,cardinality(sK3)) = cardinality(union(sF11,sK3)) | (~spl19_3 | ~spl19_9 | ~spl19_61)), 83.95/12.27 inference(trivial_inequality_removal,[],[f53410])). 83.95/12.27 tff(f53410,plain,( 83.95/12.27 empty_set != empty_set | $sum(1,cardinality(sK3)) = cardinality(union(sF11,sK3)) | (~spl19_3 | ~spl19_9 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f438,f53371])). 83.95/12.27 tff(f53433,plain,( 83.95/12.27 spl19_178 | ~spl19_3 | ~spl19_8 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53421,f1281,f118,f98,f53431])). 83.95/12.27 tff(f53431,plain,( 83.95/12.27 spl19_178 <=> cardinality(union(sF8,sK3)) = $sum(1,cardinality(sK3))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_178])])). 83.95/12.27 tff(f53421,plain,( 83.95/12.27 cardinality(union(sF8,sK3)) = $sum(1,cardinality(sK3)) | (~spl19_3 | ~spl19_8 | ~spl19_61)), 83.95/12.27 inference(trivial_inequality_removal,[],[f53409])). 83.95/12.27 tff(f53409,plain,( 83.95/12.27 cardinality(union(sF8,sK3)) = $sum(1,cardinality(sK3)) | empty_set != empty_set | (~spl19_3 | ~spl19_8 | ~spl19_61)), 83.95/12.27 inference(superposition,[],[f437,f53371])). 83.95/12.27 tff(f53429,plain,( 83.95/12.27 spl19_177 | ~spl19_3 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53370,f1281,f98,f53427])). 83.95/12.27 tff(f53370,plain,( 83.95/12.27 empty_set = complement(complement(sK3)) | (~spl19_3 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53340,f753])). 83.95/12.27 tff(f53397,plain,( 83.95/12.27 spl19_173 | ~spl19_10 | ~spl19_13 | ~spl19_25 | ~spl19_95 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f53384,f52201,f5373,f216,f138,f126,f53328])). 83.95/12.27 tff(f53384,plain,( 83.95/12.27 empty_set = intersection(sF8,sF13) | (~spl19_10 | ~spl19_13 | ~spl19_25 | ~spl19_95 | ~spl19_145)), 83.95/12.27 inference(subsumption_resolution,[],[f53379,f217])). 83.95/12.27 tff(f53379,plain,( 83.95/12.27 empty_set = intersection(sF8,sF13) | ~member(sK7,sF13) | (~spl19_10 | ~spl19_13 | ~spl19_95 | ~spl19_145)), 83.95/12.27 inference(duplicate_literal_removal,[],[f53378])). 83.95/12.27 tff(f53378,plain,( 83.95/12.27 empty_set = intersection(sF8,sF13) | empty_set = intersection(sF8,sF13) | ~member(sK7,sF13) | (~spl19_10 | ~spl19_13 | ~spl19_95 | ~spl19_145)), 83.95/12.27 inference(superposition,[],[f52334,f4917])). 83.95/12.27 tff(f53389,plain,( 83.95/12.27 spl19_173 | ~spl19_13 | ~spl19_95 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f53383,f52201,f5373,f138,f53328])). 83.95/12.27 tff(f53383,plain,( 83.95/12.27 empty_set = intersection(sF8,sF13) | (~spl19_13 | ~spl19_95 | ~spl19_145)), 83.95/12.27 inference(duplicate_literal_removal,[],[f53374])). 83.95/12.27 tff(f53374,plain,( 83.95/12.27 empty_set = intersection(sF8,sF13) | empty_set = intersection(sF8,sF13) | (~spl19_13 | ~spl19_95 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f52334,f234])). 83.95/12.27 tff(f53388,plain,( 83.95/12.27 spl19_26 | ~spl19_3 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53367,f1281,f98,f264])). 83.95/12.27 tff(f53367,plain,( 83.95/12.27 empty_set = sK3 | (~spl19_3 | ~spl19_61)), 83.95/12.27 inference(resolution,[],[f53340,f59])). 83.95/12.27 tff(f53373,plain,( 83.95/12.27 spl19_173 | spl19_1 | ~spl19_10 | ~spl19_13 | ~spl19_92), 83.95/12.27 inference(avatar_split_clause,[],[f53298,f5066,f138,f126,f90,f53328])). 83.95/12.27 tff(f53298,plain,( 83.95/12.27 empty_set = intersection(sF8,sF13) | (spl19_1 | ~spl19_10 | ~spl19_13 | ~spl19_92)), 83.95/12.27 inference(subsumption_resolution,[],[f53292,f91])). 83.95/12.27 tff(f53292,plain,( 83.95/12.27 empty_set = intersection(sF8,sF13) | member(sK7,sK2) | (~spl19_10 | ~spl19_13 | ~spl19_92)), 83.95/12.27 inference(duplicate_literal_removal,[],[f53262])). 83.95/12.27 tff(f53262,plain,( 83.95/12.27 member(sK7,sK2) | empty_set = intersection(sF8,sF13) | empty_set = intersection(sF8,sF13) | (~spl19_10 | ~spl19_13 | ~spl19_92)), 83.95/12.27 inference(superposition,[],[f47225,f4917])). 83.95/12.27 tff(f53366,plain,( 83.95/12.27 spl19_173 | ~spl19_5 | ~spl19_10 | ~spl19_13 | spl19_166), 83.95/12.27 inference(avatar_split_clause,[],[f53301,f53008,f138,f126,f106,f53328])). 83.95/12.27 tff(f53301,plain,( 83.95/12.27 empty_set = intersection(sF8,sF13) | (~spl19_5 | ~spl19_10 | ~spl19_13 | spl19_166)), 83.95/12.27 inference(subsumption_resolution,[],[f53278,f53009])). 83.95/12.27 tff(f53278,plain,( 83.95/12.27 member(sK7,sK5) | empty_set = intersection(sF8,sF13) | (~spl19_5 | ~spl19_10 | ~spl19_13)), 83.95/12.27 inference(duplicate_literal_removal,[],[f53264])). 83.95/12.27 tff(f53264,plain,( 83.95/12.27 empty_set = intersection(sF8,sF13) | member(sK7,sK5) | empty_set = intersection(sF8,sF13) | (~spl19_5 | ~spl19_10 | ~spl19_13)), 83.95/12.27 inference(superposition,[],[f47224,f4917])). 83.95/12.27 tff(f53365,plain,( 83.95/12.27 spl19_59 | ~spl19_176 | ~spl19_10 | ~spl19_164 | ~spl19_167), 83.95/12.27 inference(avatar_split_clause,[],[f53311,f53106,f52974,f126,f53363,f1016])). 83.95/12.27 tff(f53363,plain,( 83.95/12.27 spl19_176 <=> cardinality(sK5) = $sum(1,cardinality(sK5))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_176])])). 83.95/12.27 tff(f53311,plain,( 83.95/12.27 empty_set = sF13 | cardinality(sK5) != $sum(1,cardinality(sK5)) | (~spl19_10 | ~spl19_164 | ~spl19_167)), 83.95/12.27 inference(forward_demodulation,[],[f53304,f52975])). 83.95/12.27 tff(f53304,plain,( 83.95/12.27 cardinality(sK5) != $sum(1,cardinality(sK5)) | sF13 = intersection(sF13,sK5) | (~spl19_10 | ~spl19_167)), 83.95/12.27 inference(superposition,[],[f367,f53107])). 83.95/12.27 tff(f367,plain,( 83.95/12.27 ( ! [X0 : set] : (cardinality(X0) != cardinality(union(sF13,X0)) | sF13 = intersection(sF13,X0)) ) | ~spl19_10), 83.95/12.27 inference(superposition,[],[f43,f127])). 83.95/12.27 tff(f53359,plain,( 83.95/12.27 spl19_175 | ~spl19_3 | ~spl19_61), 83.95/12.27 inference(avatar_split_clause,[],[f53341,f1281,f98,f53357])). 83.95/12.27 tff(f53357,plain,( 83.95/12.27 spl19_175 <=> subset(sK3,empty_set)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_175])])). 83.95/12.27 tff(f53341,plain,( 83.95/12.27 subset(sK3,empty_set) | (~spl19_3 | ~spl19_61)), 83.95/12.27 inference(forward_demodulation,[],[f99,f1282])). 83.95/12.27 tff(f53355,plain,( 83.95/12.27 spl19_174 | ~spl19_97 | ~spl19_99 | ~spl19_168), 83.95/12.27 inference(avatar_split_clause,[],[f53347,f53110,f6762,f6753,f53353])). 83.95/12.27 tff(f53353,plain,( 83.95/12.27 spl19_174 <=> 2 = cardinality(union(sF9,sF11))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_174])])). 83.95/12.27 tff(f53110,plain,( 83.95/12.27 spl19_168 <=> empty_set = intersection(sF9,sF11)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_168])])). 83.95/12.27 tff(f53347,plain,( 83.95/12.27 2 = cardinality(union(sF9,sF11)) | (~spl19_97 | ~spl19_99 | ~spl19_168)), 83.95/12.27 inference(evaluation,[],[f53346])). 83.95/12.27 tff(f53346,plain,( 83.95/12.27 $sum(1,1) = cardinality(union(sF9,sF11)) | (~spl19_97 | ~spl19_99 | ~spl19_168)), 83.95/12.27 inference(forward_demodulation,[],[f53345,f6763])). 83.95/12.27 tff(f53345,plain,( 83.95/12.27 $sum(1,cardinality(sF9)) = cardinality(union(sF9,sF11)) | (~spl19_97 | ~spl19_168)), 83.95/12.27 inference(forward_demodulation,[],[f53344,f15])). 83.95/12.27 tff(f53344,plain,( 83.95/12.27 $sum(cardinality(sF9),1) = cardinality(union(sF9,sF11)) | (~spl19_97 | ~spl19_168)), 83.95/12.27 inference(forward_demodulation,[],[f53117,f6754])). 83.95/12.27 tff(f53117,plain,( 83.95/12.27 $sum(cardinality(sF9),cardinality(sF11)) = cardinality(union(sF9,sF11)) | ~spl19_168), 83.95/12.27 inference(trivial_inequality_removal,[],[f53113])). 83.95/12.27 tff(f53113,plain,( 83.95/12.27 $sum(cardinality(sF9),cardinality(sF11)) = cardinality(union(sF9,sF11)) | empty_set != empty_set | ~spl19_168), 83.95/12.27 inference(superposition,[],[f73,f53111])). 83.95/12.27 tff(f53111,plain,( 83.95/12.27 empty_set = intersection(sF9,sF11) | ~spl19_168), 83.95/12.27 inference(avatar_component_clause,[],[f53110])). 83.95/12.27 tff(f53350,plain,( 83.95/12.27 ~spl19_28 | ~spl19_61), 83.95/12.27 inference(avatar_contradiction_clause,[],[f53349])). 83.95/12.27 tff(f53349,plain,( 83.95/12.27 $false | (~spl19_28 | ~spl19_61)), 83.95/12.27 inference(subsumption_resolution,[],[f53348,f162])). 83.95/12.27 tff(f53348,plain,( 83.95/12.27 member(sK0(sK3),empty_set) | (~spl19_28 | ~spl19_61)), 83.95/12.27 inference(forward_demodulation,[],[f278,f1282])). 83.95/12.27 tff(f53337,plain,( 83.95/12.27 spl19_1 | ~spl19_7 | ~spl19_147), 83.95/12.27 inference(avatar_contradiction_clause,[],[f53336])). 83.95/12.27 tff(f53336,plain,( 83.95/12.27 $false | (spl19_1 | ~spl19_7 | ~spl19_147)), 83.95/12.27 inference(subsumption_resolution,[],[f53333,f91])). 83.95/12.27 tff(f53333,plain,( 83.95/12.27 member(sK7,sK2) | (~spl19_7 | ~spl19_147)), 83.95/12.27 inference(resolution,[],[f52210,f272])). 83.95/12.27 tff(f52210,plain,( 83.95/12.27 member(sK7,sF18) | ~spl19_147), 83.95/12.27 inference(avatar_component_clause,[],[f52209])). 83.95/12.27 tff(f53335,plain,( 83.95/12.27 ~spl19_25 | ~spl19_145 | ~spl19_147), 83.95/12.27 inference(avatar_contradiction_clause,[],[f53334])). 83.95/12.27 tff(f53334,plain,( 83.95/12.27 $false | (~spl19_25 | ~spl19_145 | ~spl19_147)), 83.95/12.27 inference(subsumption_resolution,[],[f53331,f217])). 83.95/12.27 tff(f53331,plain,( 83.95/12.27 ~member(sK7,sF13) | (~spl19_145 | ~spl19_147)), 83.95/12.27 inference(resolution,[],[f52210,f52220])). 83.95/12.27 tff(f53330,plain,( 83.95/12.27 spl19_147 | spl19_173 | ~spl19_10 | ~spl19_13 | ~spl19_95), 83.95/12.27 inference(avatar_split_clause,[],[f53281,f5373,f138,f126,f53328,f52209])). 83.95/12.27 tff(f53281,plain,( 83.95/12.27 member(sK7,sF18) | empty_set = intersection(sF8,sF13) | (~spl19_10 | ~spl19_13 | ~spl19_95)), 83.95/12.27 inference(duplicate_literal_removal,[],[f53263])). 83.95/12.27 tff(f53263,plain,( 83.95/12.27 member(sK7,sF18) | empty_set = intersection(sF8,sF13) | empty_set = intersection(sF8,sF13) | (~spl19_10 | ~spl19_13 | ~spl19_95)), 83.95/12.27 inference(superposition,[],[f47226,f4917])). 83.95/12.27 tff(f53319,plain,( 83.95/12.27 spl19_172 | spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_18), 83.95/12.27 inference(avatar_split_clause,[],[f53300,f158,f126,f114,f90,f53317])). 83.95/12.27 tff(f53300,plain,( 83.95/12.27 empty_set = intersection(sK5,sF13) | (spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(subsumption_resolution,[],[f53282,f91])). 83.95/12.27 tff(f53282,plain,( 83.95/12.27 member(sK7,sK2) | empty_set = intersection(sK5,sF13) | (~spl19_7 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(duplicate_literal_removal,[],[f53260])). 83.95/12.27 tff(f53260,plain,( 83.95/12.27 member(sK7,sK2) | empty_set = intersection(sK5,sF13) | empty_set = intersection(sK5,sF13) | (~spl19_7 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(superposition,[],[f47223,f4917])). 83.95/12.27 tff(f53315,plain,( 83.95/12.27 spl19_171 | spl19_1 | ~spl19_7 | ~spl19_10), 83.95/12.27 inference(avatar_split_clause,[],[f53299,f126,f114,f90,f53313])). 83.95/12.27 tff(f53299,plain,( 83.95/12.27 empty_set = intersection(sF18,sF13) | (spl19_1 | ~spl19_7 | ~spl19_10)), 83.95/12.27 inference(subsumption_resolution,[],[f53284,f91])). 83.95/12.27 tff(f53284,plain,( 83.95/12.27 member(sK7,sK2) | empty_set = intersection(sF18,sF13) | (~spl19_7 | ~spl19_10)), 83.95/12.27 inference(duplicate_literal_removal,[],[f53275])). 83.95/12.27 tff(f53275,plain,( 83.95/12.27 empty_set = intersection(sF18,sF13) | empty_set = intersection(sF18,sF13) | member(sK7,sK2) | (~spl19_7 | ~spl19_10)), 83.95/12.27 inference(superposition,[],[f4864,f4917])). 83.95/12.27 tff(f53302,plain,( 83.95/12.27 spl19_167 | ~spl19_100 | ~spl19_164), 83.95/12.27 inference(avatar_split_clause,[],[f52997,f52974,f6794,f53106])). 83.95/12.27 tff(f52997,plain,( 83.95/12.27 cardinality(union(sF13,sK5)) = $sum(1,cardinality(sK5)) | (~spl19_100 | ~spl19_164)), 83.95/12.27 inference(forward_demodulation,[],[f52996,f6795])). 83.95/12.27 tff(f52996,plain,( 83.95/12.27 cardinality(union(sF13,sK5)) = $sum(cardinality(sF13),cardinality(sK5)) | ~spl19_164), 83.95/12.27 inference(trivial_inequality_removal,[],[f52991])). 83.95/12.27 tff(f52991,plain,( 83.95/12.27 cardinality(union(sF13,sK5)) = $sum(cardinality(sF13),cardinality(sK5)) | empty_set != empty_set | ~spl19_164), 83.95/12.27 inference(superposition,[],[f73,f52975])). 83.95/12.27 tff(f53143,plain,( 83.95/12.27 spl19_170 | spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13), 83.95/12.27 inference(avatar_split_clause,[],[f53103,f138,f122,f106,f102,f53141])). 83.95/12.27 tff(f53103,plain,( 83.95/12.27 empty_set = intersection(sF8,sF11) | (spl19_4 | ~spl19_5 | ~spl19_9 | ~spl19_13)), 83.95/12.27 inference(subsumption_resolution,[],[f53095,f103])). 83.95/12.27 tff(f53095,plain,( 83.95/12.27 member(sK6,sK5) | empty_set = intersection(sF8,sF11) | (~spl19_5 | ~spl19_9 | ~spl19_13)), 83.95/12.27 inference(duplicate_literal_removal,[],[f53069])). 83.95/12.27 tff(f53069,plain,( 83.95/12.27 empty_set = intersection(sF8,sF11) | member(sK6,sK5) | empty_set = intersection(sF8,sF11) | (~spl19_5 | ~spl19_9 | ~spl19_13)), 83.95/12.27 inference(superposition,[],[f47224,f4913])). 83.95/12.27 tff(f53132,plain,( 83.95/12.27 spl19_169 | ~spl19_66 | ~spl19_97 | ~spl19_99 | ~spl19_168), 83.95/12.27 inference(avatar_split_clause,[],[f53121,f53110,f6762,f6753,f1443,f53130])). 83.95/12.27 tff(f53121,plain,( 83.95/12.27 2 = cardinality(sF12) | (~spl19_66 | ~spl19_97 | ~spl19_99 | ~spl19_168)), 83.95/12.27 inference(evaluation,[],[f53120])). 83.95/12.27 tff(f53120,plain,( 83.95/12.27 $sum(1,1) = cardinality(sF12) | (~spl19_66 | ~spl19_97 | ~spl19_99 | ~spl19_168)), 83.95/12.27 inference(forward_demodulation,[],[f53119,f6763])). 83.95/12.27 tff(f53119,plain,( 83.95/12.27 $sum(cardinality(sF9),1) = cardinality(sF12) | (~spl19_66 | ~spl19_97 | ~spl19_168)), 83.95/12.27 inference(forward_demodulation,[],[f53118,f6754])). 83.95/12.27 tff(f53118,plain,( 83.95/12.27 $sum(cardinality(sF9),cardinality(sF11)) = cardinality(sF12) | (~spl19_66 | ~spl19_168)), 83.95/12.27 inference(forward_demodulation,[],[f53117,f1444])). 83.95/12.27 tff(f53112,plain,( 83.95/12.27 spl19_168 | spl19_4 | ~spl19_5 | ~spl19_9), 83.95/12.27 inference(avatar_split_clause,[],[f53104,f122,f106,f102,f53110])). 83.95/12.27 tff(f53104,plain,( 83.95/12.27 empty_set = intersection(sF9,sF11) | (spl19_4 | ~spl19_5 | ~spl19_9)), 83.95/12.27 inference(subsumption_resolution,[],[f53083,f103])). 83.95/12.27 tff(f53083,plain,( 83.95/12.27 empty_set = intersection(sF9,sF11) | member(sK6,sK5) | (~spl19_5 | ~spl19_9)), 83.95/12.27 inference(duplicate_literal_removal,[],[f53074])). 83.95/12.27 tff(f53074,plain,( 83.95/12.27 empty_set = intersection(sF9,sF11) | member(sK6,sK5) | empty_set = intersection(sF9,sF11) | (~spl19_5 | ~spl19_9)), 83.95/12.27 inference(superposition,[],[f4854,f4913])). 83.95/12.27 tff(f53108,plain,( 83.95/12.27 spl19_167 | ~spl19_10 | ~spl19_164), 83.95/12.27 inference(avatar_split_clause,[],[f52995,f52974,f126,f53106])). 83.95/12.27 tff(f52995,plain,( 83.95/12.27 cardinality(union(sF13,sK5)) = $sum(1,cardinality(sK5)) | (~spl19_10 | ~spl19_164)), 83.95/12.27 inference(trivial_inequality_removal,[],[f52989])). 83.95/12.27 tff(f52989,plain,( 83.95/12.27 empty_set != empty_set | cardinality(union(sF13,sK5)) = $sum(1,cardinality(sK5)) | (~spl19_10 | ~spl19_164)), 83.95/12.27 inference(superposition,[],[f439,f52975])). 83.95/12.27 tff(f53010,plain,( 83.95/12.27 ~spl19_166 | ~spl19_25 | ~spl19_164), 83.95/12.27 inference(avatar_split_clause,[],[f53005,f52974,f216,f53008])). 83.95/12.27 tff(f53005,plain,( 83.95/12.27 ~member(sK7,sK5) | (~spl19_25 | ~spl19_164)), 83.95/12.27 inference(resolution,[],[f52998,f217])). 83.95/12.27 tff(f52980,plain,( 83.95/12.27 spl19_59 | ~spl19_165 | ~spl19_10 | ~spl19_145 | ~spl19_162), 83.95/12.27 inference(avatar_split_clause,[],[f52961,f52924,f52201,f126,f52978,f1016])). 83.95/12.27 tff(f52978,plain,( 83.95/12.27 spl19_165 <=> cardinality(sF18) = $sum(1,cardinality(sF18))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_165])])). 83.95/12.27 tff(f52961,plain,( 83.95/12.27 cardinality(sF18) != $sum(1,cardinality(sF18)) | empty_set = sF13 | (~spl19_10 | ~spl19_145 | ~spl19_162)), 83.95/12.27 inference(forward_demodulation,[],[f52954,f52202])). 83.95/12.27 tff(f52954,plain,( 83.95/12.27 sF13 = intersection(sF13,sF18) | cardinality(sF18) != $sum(1,cardinality(sF18)) | (~spl19_10 | ~spl19_162)), 83.95/12.27 inference(superposition,[],[f367,f52925])). 83.95/12.27 tff(f52976,plain,( 83.95/12.27 spl19_164 | spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_18), 83.95/12.27 inference(avatar_split_clause,[],[f52972,f158,f126,f114,f90,f52974])). 83.95/12.27 tff(f52972,plain,( 83.95/12.27 empty_set = intersection(sF13,sK5) | (spl19_1 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(subsumption_resolution,[],[f52969,f91])). 83.95/12.27 tff(f52969,plain,( 83.95/12.27 member(sK7,sK2) | empty_set = intersection(sF13,sK5) | (~spl19_7 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(duplicate_literal_removal,[],[f52968])). 83.95/12.27 tff(f52968,plain,( 83.95/12.27 member(sK7,sK2) | empty_set = intersection(sF13,sK5) | empty_set = intersection(sF13,sK5) | (~spl19_7 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(superposition,[],[f52357,f4861])). 83.95/12.27 tff(f52965,plain,( 83.95/12.27 ~spl19_59 | spl19_163 | ~spl19_10 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52213,f52201,f126,f52963,f1016])). 83.95/12.27 tff(f52963,plain,( 83.95/12.27 spl19_163 <=> cardinality(union(sF13,sF18)) = cardinality(sF18)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_163])])). 83.95/12.27 tff(f52213,plain,( 83.95/12.27 cardinality(union(sF13,sF18)) = cardinality(sF18) | empty_set != sF13 | (~spl19_10 | ~spl19_145)), 83.95/12.27 inference(superposition,[],[f364,f52202])). 83.95/12.27 tff(f52935,plain,( 83.95/12.27 spl19_162 | ~spl19_100 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52221,f52201,f6794,f52924])). 83.95/12.27 tff(f52221,plain,( 83.95/12.27 cardinality(union(sF13,sF18)) = $sum(1,cardinality(sF18)) | (~spl19_100 | ~spl19_145)), 83.95/12.27 inference(forward_demodulation,[],[f52218,f6795])). 83.95/12.27 tff(f52218,plain,( 83.95/12.27 cardinality(union(sF13,sF18)) = $sum(cardinality(sF13),cardinality(sF18)) | ~spl19_145), 83.95/12.27 inference(trivial_inequality_removal,[],[f52214])). 83.95/12.27 tff(f52214,plain,( 83.95/12.27 empty_set != empty_set | cardinality(union(sF13,sF18)) = $sum(cardinality(sF13),cardinality(sF18)) | ~spl19_145), 83.95/12.27 inference(superposition,[],[f73,f52202])). 83.95/12.27 tff(f52926,plain,( 83.95/12.27 spl19_162 | ~spl19_10 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52219,f52201,f126,f52924])). 83.95/12.27 tff(f52219,plain,( 83.95/12.27 cardinality(union(sF13,sF18)) = $sum(1,cardinality(sF18)) | (~spl19_10 | ~spl19_145)), 83.95/12.27 inference(trivial_inequality_removal,[],[f52212])). 83.95/12.27 tff(f52212,plain,( 83.95/12.27 empty_set != empty_set | cardinality(union(sF13,sF18)) = $sum(1,cardinality(sF18)) | (~spl19_10 | ~spl19_145)), 83.95/12.27 inference(superposition,[],[f439,f52202])). 83.95/12.27 tff(f52590,plain,( 83.95/12.27 ~spl19_161 | ~spl19_25 | ~spl19_146), 83.95/12.27 inference(avatar_split_clause,[],[f52585,f52205,f216,f52588])). 83.95/12.27 tff(f52585,plain,( 83.95/12.27 ~member(sK7,sF9) | (~spl19_25 | ~spl19_146)), 83.95/12.27 inference(resolution,[],[f52235,f217])). 83.95/12.27 tff(f52578,plain,( 83.95/12.27 ~spl19_160 | ~spl19_122 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52340,f52201,f33493,f52576])). 83.95/12.27 tff(f52576,plain,( 83.95/12.27 spl19_160 <=> member(sK0(complement(complement(sF9))),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_160])])). 83.95/12.27 tff(f52340,plain,( 83.95/12.27 ~member(sK0(complement(complement(sF9))),sF13) | (~spl19_122 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f52220,f33494])). 83.95/12.27 tff(f52574,plain,( 83.95/12.27 ~spl19_159 | ~spl19_115 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52338,f52201,f11925,f52572])). 83.95/12.27 tff(f52572,plain,( 83.95/12.27 spl19_159 <=> member(sK0(union(sF18,sF9)),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_159])])). 83.95/12.27 tff(f52338,plain,( 83.95/12.27 ~member(sK0(union(sF18,sF9)),sF13) | (~spl19_115 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f52220,f11926])). 83.95/12.27 tff(f52570,plain,( 83.95/12.27 spl19_154 | ~spl19_8 | ~spl19_41 | ~spl19_141), 83.95/12.27 inference(avatar_split_clause,[],[f52569,f51939,f488,f118,f52454])). 83.95/12.27 tff(f52569,plain,( 83.95/12.27 empty_set = intersection(sF11,sF8) | (~spl19_8 | ~spl19_41 | ~spl19_141)), 83.95/12.27 inference(subsumption_resolution,[],[f52550,f489])). 83.95/12.27 tff(f52550,plain,( 83.95/12.27 ~member(sK1,sF9) | empty_set = intersection(sF11,sF8) | (~spl19_8 | ~spl19_141)), 83.95/12.27 inference(duplicate_literal_removal,[],[f52542])). 83.95/12.27 tff(f52542,plain,( 83.95/12.27 empty_set = intersection(sF11,sF8) | empty_set = intersection(sF11,sF8) | ~member(sK1,sF9) | (~spl19_8 | ~spl19_141)), 83.95/12.27 inference(superposition,[],[f51964,f4907])). 83.95/12.27 tff(f51964,plain,( 83.95/12.27 ( ! [X0 : set] : (~member(sK0(intersection(sF11,X0)),sF9) | empty_set = intersection(sF11,X0)) ) | ~spl19_141), 83.95/12.27 inference(resolution,[],[f51950,f233])). 83.95/12.27 tff(f52525,plain,( 83.95/12.27 spl19_158 | ~spl19_99 | ~spl19_100 | ~spl19_153), 83.95/12.27 inference(avatar_split_clause,[],[f52516,f52436,f6794,f6762,f52523])). 83.95/12.27 tff(f52436,plain,( 83.95/12.27 spl19_153 <=> empty_set = intersection(sF9,sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_153])])). 83.95/12.27 tff(f52516,plain,( 83.95/12.27 2 = cardinality(union(sF9,sF13)) | (~spl19_99 | ~spl19_100 | ~spl19_153)), 83.95/12.27 inference(evaluation,[],[f52515])). 83.95/12.27 tff(f52515,plain,( 83.95/12.27 $sum(1,1) = cardinality(union(sF9,sF13)) | (~spl19_99 | ~spl19_100 | ~spl19_153)), 83.95/12.27 inference(forward_demodulation,[],[f52514,f6763])). 83.95/12.27 tff(f52514,plain,( 83.95/12.27 $sum(1,cardinality(sF9)) = cardinality(union(sF9,sF13)) | (~spl19_100 | ~spl19_153)), 83.95/12.27 inference(forward_demodulation,[],[f52513,f15])). 83.95/12.27 tff(f52513,plain,( 83.95/12.27 cardinality(union(sF9,sF13)) = $sum(cardinality(sF9),1) | (~spl19_100 | ~spl19_153)), 83.95/12.27 inference(forward_demodulation,[],[f52512,f6795])). 83.95/12.27 tff(f52512,plain,( 83.95/12.27 $sum(cardinality(sF9),cardinality(sF13)) = cardinality(union(sF9,sF13)) | ~spl19_153), 83.95/12.27 inference(trivial_inequality_removal,[],[f52508])). 83.95/12.27 tff(f52508,plain,( 83.95/12.27 empty_set != empty_set | $sum(cardinality(sF9),cardinality(sF13)) = cardinality(union(sF9,sF13)) | ~spl19_153), 83.95/12.27 inference(superposition,[],[f73,f52437])). 83.95/12.27 tff(f52437,plain,( 83.95/12.27 empty_set = intersection(sF9,sF13) | ~spl19_153), 83.95/12.27 inference(avatar_component_clause,[],[f52436])). 83.95/12.27 tff(f52521,plain,( 83.95/12.27 ~spl19_157 | ~spl19_109 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52337,f52201,f11335,f52519])). 83.95/12.27 tff(f52519,plain,( 83.95/12.27 spl19_157 <=> member(sK0(union(sK5,sF9)),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_157])])). 83.95/12.27 tff(f52337,plain,( 83.95/12.27 ~member(sK0(union(sK5,sF9)),sF13) | (~spl19_109 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f52220,f11336])). 83.95/12.27 tff(f52507,plain,( 83.95/12.27 ~spl19_156 | ~spl19_131 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52342,f52201,f38998,f52505])). 83.95/12.27 tff(f52505,plain,( 83.95/12.27 spl19_156 <=> member(sK0(sF18),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_156])])). 83.95/12.27 tff(f52342,plain,( 83.95/12.27 ~member(sK0(sF18),sF13) | (~spl19_131 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f52220,f38999])). 83.95/12.27 tff(f52460,plain,( 83.95/12.27 ~spl19_155 | ~spl19_84 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52341,f52201,f2010,f52458])). 83.95/12.27 tff(f52458,plain,( 83.95/12.27 spl19_155 <=> member(sK0(sK5),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_155])])). 83.95/12.27 tff(f52341,plain,( 83.95/12.27 ~member(sK0(sK5),sF13) | (~spl19_84 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f52220,f2011])). 83.95/12.27 tff(f52456,plain,( 83.95/12.27 spl19_154 | ~spl19_9 | ~spl19_13 | spl19_144), 83.95/12.27 inference(avatar_split_clause,[],[f52452,f51977,f138,f122,f52454])). 83.95/12.27 tff(f52452,plain,( 83.95/12.27 empty_set = intersection(sF11,sF8) | (~spl19_9 | ~spl19_13 | spl19_144)), 83.95/12.27 inference(subsumption_resolution,[],[f52450,f51978])). 83.95/12.27 tff(f52450,plain,( 83.95/12.27 empty_set = intersection(sF11,sF8) | member(sK6,sF9) | (~spl19_9 | ~spl19_13)), 83.95/12.27 inference(duplicate_literal_removal,[],[f52446])). 83.95/12.27 tff(f52446,plain,( 83.95/12.27 empty_set = intersection(sF11,sF8) | empty_set = intersection(sF11,sF8) | member(sK6,sF9) | (~spl19_9 | ~spl19_13)), 83.95/12.27 inference(superposition,[],[f4906,f4857])). 83.95/12.27 tff(f52438,plain,( 83.95/12.27 spl19_153 | ~spl19_5 | ~spl19_18 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52434,f52201,f158,f106,f52436])). 83.95/12.27 tff(f52434,plain,( 83.95/12.27 empty_set = intersection(sF9,sF13) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.95/12.27 inference(duplicate_literal_removal,[],[f52433])). 83.95/12.27 tff(f52433,plain,( 83.95/12.27 empty_set = intersection(sF9,sF13) | empty_set = intersection(sF9,sF13) | (~spl19_5 | ~spl19_18 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f52335,f234])). 83.95/12.27 tff(f52432,plain,( 83.95/12.27 ~spl19_152 | ~spl19_45 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52350,f52201,f513,f52430])). 83.95/12.27 tff(f52350,plain,( 83.95/12.27 ~member(sK6,sF13) | (~spl19_45 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f52220,f514])). 83.95/12.27 tff(f52385,plain,( 83.95/12.27 spl19_151 | ~spl19_150 | ~spl19_5 | ~spl19_8 | ~spl19_18 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52375,f52201,f158,f118,f106,f52379,f52383])). 83.95/12.27 tff(f52375,plain,( 83.95/12.27 empty_set = intersection(sF8,sF9) | ~member(sK1,sF13) | (~spl19_5 | ~spl19_8 | ~spl19_18 | ~spl19_145)), 83.95/12.27 inference(duplicate_literal_removal,[],[f52371])). 83.95/12.27 tff(f52371,plain,( 83.95/12.27 ~member(sK1,sF13) | empty_set = intersection(sF8,sF9) | empty_set = intersection(sF8,sF9) | (~spl19_5 | ~spl19_8 | ~spl19_18 | ~spl19_145)), 83.95/12.27 inference(superposition,[],[f52332,f4851])). 83.95/12.27 tff(f52381,plain,( 83.95/12.27 ~spl19_150 | ~spl19_48 | ~spl19_145), 83.95/12.27 inference(avatar_split_clause,[],[f52349,f52201,f535,f52379])). 83.95/12.27 tff(f52349,plain,( 83.95/12.27 ~member(sK1,sF13) | (~spl19_48 | ~spl19_145)), 83.95/12.27 inference(resolution,[],[f52220,f536])). 83.95/12.27 tff(f52369,plain,( 83.95/12.27 spl19_149 | ~spl19_59 | ~spl19_10 | ~spl19_99 | ~spl19_146), 83.95/12.27 inference(avatar_split_clause,[],[f52234,f52205,f6762,f126,f1016,f52366])). 83.95/12.27 tff(f52366,plain,( 83.95/12.27 spl19_149 <=> 1 = cardinality(union(sF13,sF9))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_149])])). 83.95/12.27 tff(f52234,plain,( 83.95/12.27 1 = cardinality(union(sF13,sF9)) | empty_set != sF13 | (~spl19_10 | ~spl19_99 | ~spl19_146)), 83.95/12.27 inference(forward_demodulation,[],[f52223,f6763])). 83.95/12.27 tff(f52223,plain,( 83.95/12.27 empty_set != sF13 | cardinality(sF9) = cardinality(union(sF13,sF9)) | (~spl19_10 | ~spl19_146)), 83.95/12.27 inference(superposition,[],[f364,f52206])). 83.95/12.27 tff(f52364,plain,( 83.95/12.27 spl19_148 | ~spl19_10 | ~spl19_99 | ~spl19_146), 83.95/12.27 inference(avatar_split_clause,[],[f52237,f52205,f6762,f126,f52352])). 83.95/12.27 tff(f52237,plain,( 83.95/12.27 2 = cardinality(union(sF13,sF9)) | (~spl19_10 | ~spl19_99 | ~spl19_146)), 83.95/12.27 inference(evaluation,[],[f52236])). 83.95/12.27 tff(f52236,plain,( 83.95/12.27 $sum(1,1) = cardinality(union(sF13,sF9)) | (~spl19_10 | ~spl19_99 | ~spl19_146)), 83.95/12.27 inference(forward_demodulation,[],[f52228,f6763])). 83.95/12.27 tff(f52228,plain,( 83.95/12.27 $sum(1,cardinality(sF9)) = cardinality(union(sF13,sF9)) | (~spl19_10 | ~spl19_146)), 83.95/12.27 inference(trivial_inequality_removal,[],[f52222])). 83.95/12.27 tff(f52222,plain,( 83.95/12.27 empty_set != empty_set | $sum(1,cardinality(sF9)) = cardinality(union(sF13,sF9)) | (~spl19_10 | ~spl19_146)), 83.95/12.27 inference(superposition,[],[f439,f52206])). 83.95/12.27 tff(f52354,plain,( 83.95/12.27 spl19_148 | ~spl19_99 | ~spl19_100 | ~spl19_146), 83.95/12.27 inference(avatar_split_clause,[],[f52233,f52205,f6794,f6762,f52352])). 83.95/12.27 tff(f52233,plain,( 83.95/12.27 2 = cardinality(union(sF13,sF9)) | (~spl19_99 | ~spl19_100 | ~spl19_146)), 83.95/12.27 inference(evaluation,[],[f52232])). 83.95/12.27 tff(f52232,plain,( 83.95/12.27 $sum(1,1) = cardinality(union(sF13,sF9)) | (~spl19_99 | ~spl19_100 | ~spl19_146)), 83.95/12.27 inference(forward_demodulation,[],[f52231,f6795])). 83.95/12.27 tff(f52231,plain,( 83.95/12.27 cardinality(union(sF13,sF9)) = $sum(1,cardinality(sF13)) | (~spl19_99 | ~spl19_146)), 83.95/12.27 inference(forward_demodulation,[],[f52230,f15])). 83.95/12.27 tff(f52230,plain,( 83.95/12.27 cardinality(union(sF13,sF9)) = $sum(cardinality(sF13),1) | (~spl19_99 | ~spl19_146)), 83.95/12.27 inference(forward_demodulation,[],[f52229,f6763])). 83.95/12.27 tff(f52211,plain,( 83.95/12.27 spl19_146 | spl19_147 | ~spl19_5 | ~spl19_10 | ~spl19_18), 83.95/12.27 inference(avatar_split_clause,[],[f52192,f158,f126,f106,f52209,f52205])). 83.95/12.27 tff(f52192,plain,( 83.95/12.27 empty_set = intersection(sF13,sF9) | member(sK7,sF18) | (~spl19_5 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(duplicate_literal_removal,[],[f52188])). 83.95/12.27 tff(f52188,plain,( 83.95/12.27 member(sK7,sF18) | empty_set = intersection(sF13,sF9) | empty_set = intersection(sF13,sF9) | (~spl19_5 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(superposition,[],[f4951,f4861])). 83.95/12.27 tff(f52207,plain,( 83.95/12.27 spl19_146 | spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18), 83.95/12.27 inference(avatar_split_clause,[],[f52199,f158,f126,f114,f106,f90,f52205])). 83.95/12.27 tff(f52199,plain,( 83.95/12.27 empty_set = intersection(sF13,sF9) | (spl19_1 | ~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(subsumption_resolution,[],[f52195,f91])). 83.95/12.27 tff(f52195,plain,( 83.95/12.27 empty_set = intersection(sF13,sF9) | member(sK7,sK2) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(duplicate_literal_removal,[],[f52187])). 83.95/12.27 tff(f52187,plain,( 83.95/12.27 member(sK7,sK2) | empty_set = intersection(sF13,sF9) | empty_set = intersection(sF13,sF9) | (~spl19_5 | ~spl19_7 | ~spl19_10 | ~spl19_18)), 83.95/12.27 inference(superposition,[],[f4955,f4861])). 83.95/12.27 tff(f52203,plain,( 83.95/12.27 spl19_145 | spl19_1 | ~spl19_7 | ~spl19_10), 83.95/12.27 inference(avatar_split_clause,[],[f52198,f126,f114,f90,f52201])). 83.95/12.27 tff(f52198,plain,( 83.95/12.27 empty_set = intersection(sF13,sF18) | (spl19_1 | ~spl19_7 | ~spl19_10)), 83.95/12.27 inference(subsumption_resolution,[],[f52196,f91])). 83.95/12.27 tff(f52196,plain,( 83.95/12.27 empty_set = intersection(sF13,sF18) | member(sK7,sK2) | (~spl19_7 | ~spl19_10)), 83.95/12.27 inference(duplicate_literal_removal,[],[f52189])). 83.95/12.27 tff(f52189,plain,( 83.95/12.27 empty_set = intersection(sF13,sF18) | member(sK7,sK2) | empty_set = intersection(sF13,sF18) | (~spl19_7 | ~spl19_10)), 83.95/12.27 inference(superposition,[],[f4920,f4861])). 83.95/12.27 tff(f51979,plain,( 83.95/12.27 ~spl19_144 | ~spl19_24 | ~spl19_141), 83.95/12.27 inference(avatar_split_clause,[],[f51969,f51939,f212,f51977])). 83.95/12.27 tff(f51969,plain,( 83.95/12.27 ~member(sK6,sF9) | (~spl19_24 | ~spl19_141)), 83.95/12.27 inference(resolution,[],[f51950,f213])). 83.95/12.27 tff(f51975,plain,( 83.95/12.27 spl19_143 | ~spl19_57 | ~spl19_9 | ~spl19_99 | ~spl19_141), 83.95/12.27 inference(avatar_split_clause,[],[f51953,f51939,f6762,f122,f682,f51972])). 83.95/12.27 tff(f51972,plain,( 83.95/12.27 spl19_143 <=> 1 = cardinality(union(sF11,sF9))), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_143])])). 83.95/12.27 tff(f51953,plain,( 83.95/12.27 1 = cardinality(union(sF11,sF9)) | empty_set != sF11 | (~spl19_9 | ~spl19_99 | ~spl19_141)), 83.95/12.27 inference(forward_demodulation,[],[f51943,f6763])). 83.95/12.27 tff(f51943,plain,( 83.95/12.27 cardinality(sF9) = cardinality(union(sF11,sF9)) | empty_set != sF11 | (~spl19_9 | ~spl19_141)), 83.95/12.27 inference(superposition,[],[f363,f51940])). 83.95/12.27 tff(f51962,plain,( 83.95/12.27 spl19_142 | ~spl19_97 | ~spl19_99 | ~spl19_141), 83.95/12.27 inference(avatar_split_clause,[],[f51957,f51939,f6762,f6753,f51959])). 83.95/12.27 tff(f51957,plain,( 83.95/12.27 2 = cardinality(union(sF11,sF9)) | (~spl19_97 | ~spl19_99 | ~spl19_141)), 83.95/12.27 inference(evaluation,[],[f51956])). 83.95/12.27 tff(f51956,plain,( 83.95/12.27 $sum(1,1) = cardinality(union(sF11,sF9)) | (~spl19_97 | ~spl19_99 | ~spl19_141)), 83.95/12.27 inference(forward_demodulation,[],[f51955,f6754])). 83.95/12.27 tff(f51955,plain,( 83.95/12.27 cardinality(union(sF11,sF9)) = $sum(1,cardinality(sF11)) | (~spl19_99 | ~spl19_141)), 83.95/12.27 inference(forward_demodulation,[],[f51954,f15])). 83.95/12.27 tff(f51954,plain,( 83.95/12.27 cardinality(union(sF11,sF9)) = $sum(cardinality(sF11),1) | (~spl19_99 | ~spl19_141)), 83.95/12.27 inference(forward_demodulation,[],[f51948,f6763])). 83.95/12.27 tff(f51961,plain,( 83.95/12.27 spl19_142 | ~spl19_9 | ~spl19_99 | ~spl19_141), 83.95/12.27 inference(avatar_split_clause,[],[f51952,f51939,f6762,f122,f51959])). 83.95/12.27 tff(f51952,plain,( 83.95/12.27 2 = cardinality(union(sF11,sF9)) | (~spl19_9 | ~spl19_99 | ~spl19_141)), 83.95/12.27 inference(evaluation,[],[f51951])). 83.95/12.27 tff(f51951,plain,( 83.95/12.27 $sum(1,1) = cardinality(union(sF11,sF9)) | (~spl19_9 | ~spl19_99 | ~spl19_141)), 83.95/12.27 inference(forward_demodulation,[],[f51949,f6763])). 83.95/12.27 tff(f51941,plain,( 83.95/12.27 spl19_141 | spl19_4 | ~spl19_5 | ~spl19_9), 83.95/12.27 inference(avatar_split_clause,[],[f51911,f122,f106,f102,f51939])). 83.95/12.27 tff(f51911,plain,( 83.95/12.27 empty_set = intersection(sF11,sF9) | (spl19_4 | ~spl19_5 | ~spl19_9)), 83.95/12.27 inference(subsumption_resolution,[],[f51904,f103])). 83.95/12.27 tff(f51904,plain,( 83.95/12.27 member(sK6,sK5) | empty_set = intersection(sF11,sF9) | (~spl19_5 | ~spl19_9)), 83.95/12.27 inference(duplicate_literal_removal,[],[f51899])). 83.95/12.27 tff(f51899,plain,( 83.95/12.27 member(sK6,sK5) | empty_set = intersection(sF11,sF9) | empty_set = intersection(sF11,sF9) | (~spl19_5 | ~spl19_9)), 83.95/12.27 inference(superposition,[],[f4910,f4857])). 83.95/12.27 tff(f42705,plain,( 83.95/12.27 spl19_140), 83.95/12.27 inference(avatar_split_clause,[],[f31090,f42703])). 83.95/12.27 tff(f31090,plain,( 83.95/12.27 empty_set = complement(complement(empty_set))), 83.95/12.27 inference(resolution,[],[f753,f162])). 83.95/12.27 tff(f42453,plain,( 83.95/12.27 spl19_139 | ~spl19_10 | ~spl19_135), 83.95/12.27 inference(avatar_split_clause,[],[f41837,f39662,f126,f42451])). 83.95/12.27 tff(f42451,plain,( 83.95/12.27 spl19_139 <=> sK7 = sK0(sF14)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_139])])). 83.95/12.27 tff(f39662,plain,( 83.95/12.27 spl19_135 <=> member(sK0(sF14),sF13)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_135])])). 83.95/12.27 tff(f41837,plain,( 83.95/12.27 sK7 = sK0(sF14) | (~spl19_10 | ~spl19_135)), 83.95/12.27 inference(resolution,[],[f39663,f206])). 83.95/12.27 tff(f39663,plain,( 83.95/12.27 member(sK0(sF14),sF13) | ~spl19_135), 83.95/12.27 inference(avatar_component_clause,[],[f39662])). 83.95/12.27 tff(f42076,plain,( 83.95/12.27 spl19_136 | ~spl19_16 | ~spl19_135), 83.95/12.27 inference(avatar_split_clause,[],[f41836,f39662,f150,f39694])). 83.95/12.27 tff(f39694,plain,( 83.95/12.27 spl19_136 <=> member(sK0(sF14),sF14)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_136])])). 83.95/12.27 tff(f41836,plain,( 83.95/12.27 member(sK0(sF14),sF14) | (~spl19_16 | ~spl19_135)), 83.95/12.27 inference(resolution,[],[f39663,f239])). 83.95/12.27 tff(f41839,plain,( 83.95/12.27 spl19_131 | ~spl19_18 | ~spl19_130), 83.95/12.27 inference(avatar_split_clause,[],[f41835,f38991,f158,f38998])). 83.95/12.27 tff(f41835,plain,( 83.95/12.27 member(sK0(sF18),sF18) | (~spl19_18 | ~spl19_130)), 83.95/12.27 inference(resolution,[],[f38992,f243])). 83.95/12.27 tff(f41010,plain,( 83.95/12.27 ~spl19_122 | ~spl19_128), 83.95/12.27 inference(avatar_contradiction_clause,[],[f40999])). 83.95/12.27 tff(f40999,plain,( 83.95/12.27 $false | (~spl19_122 | ~spl19_128)), 83.95/12.27 inference(resolution,[],[f40792,f33494])). 83.95/12.27 tff(f40792,plain,( 83.95/12.27 ( ! [X0 : element] : (~member(X0,sF18)) ) | ~spl19_128), 83.95/12.27 inference(resolution,[],[f40717,f58])). 83.95/12.27 tff(f40717,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,complement(sF18))) ) | ~spl19_128), 83.95/12.27 inference(subsumption_resolution,[],[f40716,f162])). 83.95/12.27 tff(f40716,plain,( 83.95/12.27 ( ! [X0 : element] : (member(X0,empty_set) | member(X0,complement(sF18))) ) | ~spl19_128), 83.95/12.27 inference(superposition,[],[f57,f37884])). 83.95/12.27 tff(f37884,plain,( 83.95/12.27 empty_set = complement(complement(sF18)) | ~spl19_128), 83.95/12.27 inference(avatar_component_clause,[],[f37883])). 83.95/12.27 tff(f41009,plain,( 83.95/12.27 ~spl19_48 | ~spl19_128), 83.95/12.27 inference(avatar_contradiction_clause,[],[f41006])). 83.95/12.27 tff(f41006,plain,( 83.95/12.27 $false | (~spl19_48 | ~spl19_128)), 83.95/12.27 inference(resolution,[],[f40792,f536])). 83.95/12.27 tff(f41008,plain,( 83.95/12.27 ~spl19_45 | ~spl19_128), 83.95/12.27 inference(avatar_contradiction_clause,[],[f41007])). 83.95/12.27 tff(f41007,plain,( 83.95/12.27 $false | (~spl19_45 | ~spl19_128)), 83.95/12.27 inference(resolution,[],[f40792,f514])). 83.95/12.27 tff(f40314,plain,( 83.95/12.27 spl19_4 | ~spl19_107 | ~spl19_138), 83.95/12.27 inference(avatar_contradiction_clause,[],[f40313])). 83.95/12.27 tff(f40313,plain,( 83.95/12.27 $false | (spl19_4 | ~spl19_107 | ~spl19_138)), 83.95/12.27 inference(subsumption_resolution,[],[f40301,f162])). 83.95/12.27 tff(f40301,plain,( 83.95/12.27 member(sK0(union(empty_set,sF9)),empty_set) | (spl19_4 | ~spl19_107 | ~spl19_138)), 83.95/12.27 inference(backward_demodulation,[],[f11217,f40287])). 83.95/12.27 tff(f40287,plain,( 83.95/12.27 empty_set = sK5 | (spl19_4 | ~spl19_138)), 83.95/12.27 inference(subsumption_resolution,[],[f40286,f103])). 83.95/12.27 tff(f40286,plain,( 83.95/12.27 member(sK6,sK5) | empty_set = sK5 | ~spl19_138), 83.95/12.27 inference(superposition,[],[f59,f39802])). 83.95/12.27 tff(f39802,plain,( 83.95/12.27 sK6 = sK0(sK5) | ~spl19_138), 83.95/12.27 inference(avatar_component_clause,[],[f39801])). 83.95/12.27 tff(f39801,plain,( 83.95/12.27 spl19_138 <=> sK6 = sK0(sK5)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_138])])). 83.95/12.27 tff(f40312,plain,( 83.95/12.27 spl19_4 | ~spl19_42 | ~spl19_138), 83.95/12.27 inference(avatar_contradiction_clause,[],[f40311])). 83.95/12.27 tff(f40311,plain,( 83.95/12.27 $false | (spl19_4 | ~spl19_42 | ~spl19_138)), 83.95/12.27 inference(subsumption_resolution,[],[f40295,f162])). 83.95/12.27 tff(f40295,plain,( 83.95/12.27 member(sK1,empty_set) | (spl19_4 | ~spl19_42 | ~spl19_138)), 83.95/12.27 inference(backward_demodulation,[],[f494,f40287])). 83.95/12.27 tff(f40308,plain,( 83.95/12.27 spl19_4 | ~spl19_121 | ~spl19_138), 83.95/12.27 inference(avatar_contradiction_clause,[],[f40307])). 83.95/12.27 tff(f40307,plain,( 83.95/12.27 $false | (spl19_4 | ~spl19_121 | ~spl19_138)), 83.95/12.27 inference(subsumption_resolution,[],[f40304,f162])). 83.95/12.27 tff(f40304,plain,( 83.95/12.27 member(sK0(complement(complement(sF9))),empty_set) | (spl19_4 | ~spl19_121 | ~spl19_138)), 83.95/12.27 inference(backward_demodulation,[],[f31141,f40287])). 83.95/12.27 tff(f40306,plain,( 83.95/12.27 spl19_83 | spl19_4 | ~spl19_138), 83.95/12.27 inference(avatar_split_clause,[],[f40287,f39801,f102,f2007])). 83.95/12.27 tff(f2007,plain,( 83.95/12.27 spl19_83 <=> empty_set = sK5), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_83])])). 83.95/12.27 tff(f39803,plain,( 83.95/12.27 spl19_138 | ~spl19_9 | ~spl19_106), 83.95/12.27 inference(avatar_split_clause,[],[f38801,f9611,f122,f39801])). 83.95/12.27 tff(f9611,plain,( 83.95/12.27 spl19_106 <=> member(sK0(sK5),sF11)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_106])])). 83.95/12.27 tff(f38801,plain,( 83.95/12.27 sK6 = sK0(sK5) | (~spl19_9 | ~spl19_106)), 83.95/12.27 inference(resolution,[],[f9612,f205])). 83.95/12.27 tff(f9612,plain,( 83.95/12.27 member(sK0(sK5),sF11) | ~spl19_106), 83.95/12.27 inference(avatar_component_clause,[],[f9611])). 83.95/12.27 tff(f39796,plain,( 83.95/12.27 spl19_137 | ~spl19_15 | ~spl19_106), 83.95/12.27 inference(avatar_split_clause,[],[f38800,f9611,f146,f39794])). 83.95/12.27 tff(f39794,plain,( 83.95/12.27 spl19_137 <=> member(sK0(sK5),sF12)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_137])])). 83.95/12.27 tff(f38800,plain,( 83.95/12.27 member(sK0(sK5),sF12) | (~spl19_15 | ~spl19_106)), 83.95/12.27 inference(resolution,[],[f9612,f237])). 83.95/12.27 tff(f39696,plain,( 83.95/12.27 spl19_136 | ~spl19_16 | ~spl19_134), 83.95/12.27 inference(avatar_split_clause,[],[f39692,f39659,f150,f39694])). 83.95/12.27 tff(f39659,plain,( 83.95/12.27 spl19_134 <=> member(sK0(sF14),sF12)), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_134])])). 83.95/12.27 tff(f39692,plain,( 83.95/12.27 member(sK0(sF14),sF14) | (~spl19_16 | ~spl19_134)), 83.95/12.27 inference(resolution,[],[f39660,f244])). 83.95/12.27 tff(f39660,plain,( 83.95/12.27 member(sK0(sF14),sF12) | ~spl19_134), 83.95/12.27 inference(avatar_component_clause,[],[f39659])). 83.95/12.27 tff(f39664,plain,( 83.95/12.27 spl19_22 | spl19_134 | spl19_135 | ~spl19_16), 83.95/12.27 inference(avatar_split_clause,[],[f1584,f150,f39662,f39659,f195])). 83.95/12.27 tff(f195,plain,( 83.95/12.27 spl19_22 <=> empty_set = sF14), 83.95/12.27 introduced(avatar_definition,[new_symbols(naming,[spl19_22])])). 83.95/12.27 tff(f1584,plain,( 83.95/12.27 empty_set = sF14 | member(sK0(sF14),sF13) | member(sK0(sF14),sF12) | ~spl19_16), 83.95/12.27 inference(resolution,[],[f352,f59])). 83.95/12.27 tff(f39013,plain,( 83.95/12.27 spl19_32 | ~spl19_7 | ~spl19_131), 83.95/12.27 inference(avatar_split_clause,[],[f39012,f38998,f114,f372])). 83.95/12.27 tff(f39012,plain,( 83.95/12.27 member(sK0(sF18),sK2) | (~spl19_7 | ~spl19_131)), 83.95/12.27 inference(resolution,[],[f38999,f272])). 83.95/12.28 tff(f39010,plain,( 83.95/12.28 spl19_133 | ~spl19_9 | ~spl19_129), 83.95/12.28 inference(avatar_split_clause,[],[f38996,f38988,f122,f39008])). 83.95/12.28 tff(f39008,plain,( 83.95/12.28 spl19_133 <=> sK6 = sK0(sF18)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_133])])). 83.95/12.28 tff(f38988,plain,( 83.95/12.28 spl19_129 <=> member(sK0(sF18),sF11)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_129])])). 83.95/12.28 tff(f38996,plain,( 83.95/12.28 sK6 = sK0(sF18) | (~spl19_9 | ~spl19_129)), 83.95/12.28 inference(resolution,[],[f38989,f205])). 83.95/12.28 tff(f38989,plain,( 83.95/12.28 member(sK0(sF18),sF11) | ~spl19_129), 83.95/12.28 inference(avatar_component_clause,[],[f38988])). 83.95/12.28 tff(f39004,plain,( 83.95/12.28 spl19_132 | ~spl19_15 | ~spl19_129), 83.95/12.28 inference(avatar_split_clause,[],[f38995,f38988,f146,f39002])). 83.95/12.28 tff(f39002,plain,( 83.95/12.28 spl19_132 <=> member(sK0(sF18),sF12)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_132])])). 83.95/12.28 tff(f38995,plain,( 83.95/12.28 member(sK0(sF18),sF12) | (~spl19_15 | ~spl19_129)), 83.95/12.28 inference(resolution,[],[f38989,f237])). 83.95/12.28 tff(f39000,plain,( 83.95/12.28 spl19_131 | ~spl19_18 | ~spl19_129), 83.95/12.28 inference(avatar_split_clause,[],[f38994,f38988,f158,f38998])). 83.95/12.28 tff(f38994,plain,( 83.95/12.28 member(sK0(sF18),sF18) | (~spl19_18 | ~spl19_129)), 83.95/12.28 inference(resolution,[],[f38989,f238])). 83.95/12.28 tff(f38993,plain,( 83.95/12.28 spl19_129 | spl19_31 | spl19_130 | ~spl19_18), 83.95/12.28 inference(avatar_split_clause,[],[f1290,f158,f38991,f369,f38988])). 83.95/12.28 tff(f369,plain,( 83.95/12.28 spl19_31 <=> empty_set = sF18), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_31])])). 83.95/12.28 tff(f1290,plain,( 83.95/12.28 member(sK0(sF18),sF11) | empty_set = sF18 | member(sK0(sF18),sK5) | ~spl19_18), 83.95/12.28 inference(resolution,[],[f351,f59])). 83.95/12.28 tff(f37885,plain,( 83.95/12.28 spl19_127 | spl19_128 | ~spl19_7), 83.95/12.28 inference(avatar_split_clause,[],[f31115,f114,f37883,f37880])). 83.95/12.28 tff(f31115,plain,( 83.95/12.28 member(sK0(complement(complement(sF18))),sK2) | empty_set = complement(complement(sF18)) | ~spl19_7), 83.95/12.28 inference(resolution,[],[f753,f272])). 83.95/12.28 tff(f37877,plain,( 83.95/12.28 spl19_116 | spl19_126 | ~spl19_125), 83.95/12.28 inference(avatar_split_clause,[],[f37871,f37108,f37875,f11928])). 83.95/12.28 tff(f11928,plain,( 83.95/12.28 spl19_116 <=> empty_set = union(sF18,sF9)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_116])])). 83.95/12.28 tff(f37875,plain,( 83.95/12.28 spl19_126 <=> member(sK6,union(sF18,sF9))), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_126])])). 83.95/12.28 tff(f37108,plain,( 83.95/12.28 spl19_125 <=> sK6 = sK0(union(sF18,sF9))), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_125])])). 83.95/12.28 tff(f37871,plain,( 83.95/12.28 member(sK6,union(sF18,sF9)) | empty_set = union(sF18,sF9) | ~spl19_125), 83.95/12.28 inference(superposition,[],[f59,f37109])). 83.95/12.28 tff(f37109,plain,( 83.95/12.28 sK6 = sK0(union(sF18,sF9)) | ~spl19_125), 83.95/12.28 inference(avatar_component_clause,[],[f37108])). 83.95/12.28 tff(f37110,plain,( 83.95/12.28 spl19_125 | ~spl19_9 | ~spl19_119), 83.95/12.28 inference(avatar_split_clause,[],[f33505,f12559,f122,f37108])). 83.95/12.28 tff(f12559,plain,( 83.95/12.28 spl19_119 <=> member(sK0(union(sF18,sF9)),sF11)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_119])])). 83.95/12.28 tff(f33505,plain,( 83.95/12.28 sK6 = sK0(union(sF18,sF9)) | (~spl19_9 | ~spl19_119)), 83.95/12.28 inference(resolution,[],[f12560,f205])). 83.95/12.28 tff(f12560,plain,( 83.95/12.28 member(sK0(union(sF18,sF9)),sF11) | ~spl19_119), 83.95/12.28 inference(avatar_component_clause,[],[f12559])). 83.95/12.28 tff(f37103,plain,( 83.95/12.28 spl19_124 | ~spl19_15 | ~spl19_119), 83.95/12.28 inference(avatar_split_clause,[],[f33504,f12559,f146,f37101])). 83.95/12.28 tff(f37101,plain,( 83.95/12.28 spl19_124 <=> member(sK0(union(sF18,sF9)),sF12)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_124])])). 83.95/12.28 tff(f33504,plain,( 83.95/12.28 member(sK0(union(sF18,sF9)),sF12) | (~spl19_15 | ~spl19_119)), 83.95/12.28 inference(resolution,[],[f12560,f237])). 83.95/12.28 tff(f37096,plain,( 83.95/12.28 spl19_123 | ~spl19_7 | ~spl19_122), 83.95/12.28 inference(avatar_split_clause,[],[f33497,f33493,f114,f37094])). 83.95/12.28 tff(f33497,plain,( 83.95/12.28 member(sK0(complement(complement(sF9))),sK2) | (~spl19_7 | ~spl19_122)), 83.95/12.28 inference(resolution,[],[f33494,f272])). 83.95/12.28 tff(f37092,plain,( 83.95/12.28 spl19_75 | spl19_82 | ~spl19_16), 83.95/12.28 inference(avatar_split_clause,[],[f532,f150,f1929,f1535])). 83.95/12.28 tff(f1929,plain,( 83.95/12.28 spl19_82 <=> member(sK0(sF12),sF14)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_82])])). 83.95/12.28 tff(f532,plain,( 83.95/12.28 empty_set = sF12 | member(sK0(sF12),sF14) | ~spl19_16), 83.95/12.28 inference(resolution,[],[f244,f59])). 83.95/12.28 tff(f33495,plain,( 83.95/12.28 spl19_122 | ~spl19_18 | ~spl19_121), 83.95/12.28 inference(avatar_split_clause,[],[f33325,f31140,f158,f33493])). 83.95/12.28 tff(f33325,plain,( 83.95/12.28 member(sK0(complement(complement(sF9))),sF18) | (~spl19_18 | ~spl19_121)), 83.95/12.28 inference(resolution,[],[f31141,f243])). 83.95/12.28 tff(f33323,plain,( 83.95/12.28 ~spl19_41 | ~spl19_114), 83.95/12.28 inference(avatar_contradiction_clause,[],[f33322])). 83.95/12.28 tff(f33322,plain,( 83.95/12.28 $false | (~spl19_41 | ~spl19_114)), 83.95/12.28 inference(resolution,[],[f33233,f489])). 83.95/12.28 tff(f33233,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sF9)) ) | ~spl19_114), 83.95/12.28 inference(subsumption_resolution,[],[f33232,f162])). 83.95/12.28 tff(f33232,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,empty_set)) ) | ~spl19_114), 83.95/12.28 inference(superposition,[],[f53,f11786])). 83.95/12.28 tff(f11786,plain,( 83.95/12.28 empty_set = union(sK2,sF9) | ~spl19_114), 83.95/12.28 inference(avatar_component_clause,[],[f11785])). 83.95/12.28 tff(f11785,plain,( 83.95/12.28 spl19_114 <=> empty_set = union(sK2,sF9)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_114])])). 83.95/12.28 tff(f33229,plain,( 83.95/12.28 ~spl19_48 | ~spl19_116), 83.95/12.28 inference(avatar_contradiction_clause,[],[f33224])). 83.95/12.28 tff(f33224,plain,( 83.95/12.28 $false | (~spl19_48 | ~spl19_116)), 83.95/12.28 inference(resolution,[],[f33210,f536])). 83.95/12.28 tff(f33210,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sF18)) ) | ~spl19_116), 83.95/12.28 inference(subsumption_resolution,[],[f33208,f162])). 83.95/12.28 tff(f33208,plain,( 83.95/12.28 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF18)) ) | ~spl19_116), 83.95/12.28 inference(superposition,[],[f54,f11929])). 83.95/12.28 tff(f11929,plain,( 83.95/12.28 empty_set = union(sF18,sF9) | ~spl19_116), 83.95/12.28 inference(avatar_component_clause,[],[f11928])). 83.95/12.28 tff(f33228,plain,( 83.95/12.28 ~spl19_79 | ~spl19_116), 83.95/12.28 inference(avatar_contradiction_clause,[],[f33217])). 83.95/12.28 tff(f33217,plain,( 83.95/12.28 $false | (~spl19_79 | ~spl19_116)), 83.95/12.28 inference(resolution,[],[f33210,f1736])). 83.95/12.28 tff(f1736,plain,( 83.95/12.28 member(sK0(sF12),sF18) | ~spl19_79), 83.95/12.28 inference(avatar_component_clause,[],[f1735])). 83.95/12.28 tff(f1735,plain,( 83.95/12.28 spl19_79 <=> member(sK0(sF12),sF18)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_79])])). 83.95/12.28 tff(f33227,plain,( 83.95/12.28 ~spl19_45 | ~spl19_116), 83.95/12.28 inference(avatar_contradiction_clause,[],[f33225])). 83.95/12.28 tff(f33225,plain,( 83.95/12.28 $false | (~spl19_45 | ~spl19_116)), 83.95/12.28 inference(resolution,[],[f33210,f514])). 83.95/12.28 tff(f33226,plain,( 83.95/12.28 ~spl19_84 | ~spl19_116), 83.95/12.28 inference(avatar_contradiction_clause,[],[f33216])). 83.95/12.28 tff(f33216,plain,( 83.95/12.28 $false | (~spl19_84 | ~spl19_116)), 83.95/12.28 inference(resolution,[],[f33210,f2011])). 83.95/12.28 tff(f31975,plain,( 83.95/12.28 ~spl19_79 | ~spl19_112), 83.95/12.28 inference(avatar_contradiction_clause,[],[f31963])). 83.95/12.28 tff(f31963,plain,( 83.95/12.28 $false | (~spl19_79 | ~spl19_112)), 83.95/12.28 inference(resolution,[],[f31956,f1736])). 83.95/12.28 tff(f31956,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sF18)) ) | ~spl19_112), 83.95/12.28 inference(subsumption_resolution,[],[f31955,f162])). 83.95/12.28 tff(f31955,plain,( 83.95/12.28 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF18)) ) | ~spl19_112), 83.95/12.28 inference(superposition,[],[f53,f11601])). 83.95/12.28 tff(f11601,plain,( 83.95/12.28 empty_set = union(sK2,sF18) | ~spl19_112), 83.95/12.28 inference(avatar_component_clause,[],[f11600])). 83.95/12.28 tff(f11600,plain,( 83.95/12.28 spl19_112 <=> empty_set = union(sK2,sF18)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_112])])). 83.95/12.28 tff(f31974,plain,( 83.95/12.28 ~spl19_84 | ~spl19_112), 83.95/12.28 inference(avatar_contradiction_clause,[],[f31962])). 83.95/12.28 tff(f31962,plain,( 83.95/12.28 $false | (~spl19_84 | ~spl19_112)), 83.95/12.28 inference(resolution,[],[f31956,f2011])). 83.95/12.28 tff(f31973,plain,( 83.95/12.28 ~spl19_48 | ~spl19_112), 83.95/12.28 inference(avatar_contradiction_clause,[],[f31970])). 83.95/12.28 tff(f31970,plain,( 83.95/12.28 $false | (~spl19_48 | ~spl19_112)), 83.95/12.28 inference(resolution,[],[f31956,f536])). 83.95/12.28 tff(f31972,plain,( 83.95/12.28 ~spl19_45 | ~spl19_112), 83.95/12.28 inference(avatar_contradiction_clause,[],[f31971])). 83.95/12.28 tff(f31971,plain,( 83.95/12.28 $false | (~spl19_45 | ~spl19_112)), 83.95/12.28 inference(resolution,[],[f31956,f514])). 83.95/12.28 tff(f31952,plain,( 83.95/12.28 ~spl19_41 | ~spl19_108), 83.95/12.28 inference(avatar_contradiction_clause,[],[f31951])). 83.95/12.28 tff(f31951,plain,( 83.95/12.28 $false | (~spl19_41 | ~spl19_108)), 83.95/12.28 inference(resolution,[],[f31667,f489])). 83.95/12.28 tff(f31667,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sF9)) ) | ~spl19_108), 83.95/12.28 inference(subsumption_resolution,[],[f31666,f162])). 83.95/12.28 tff(f31666,plain,( 83.95/12.28 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF9)) ) | ~spl19_108), 83.95/12.28 inference(superposition,[],[f53,f11220])). 83.95/12.28 tff(f11220,plain,( 83.95/12.28 empty_set = union(sK5,sF9) | ~spl19_108), 83.95/12.28 inference(avatar_component_clause,[],[f11219])). 83.95/12.28 tff(f11219,plain,( 83.95/12.28 spl19_108 <=> empty_set = union(sK5,sF9)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_108])])). 83.95/12.28 tff(f31489,plain,( 83.95/12.28 ~spl19_41 | ~spl19_120), 83.95/12.28 inference(avatar_contradiction_clause,[],[f31488])). 83.95/12.28 tff(f31488,plain,( 83.95/12.28 $false | (~spl19_41 | ~spl19_120)), 83.95/12.28 inference(resolution,[],[f31457,f489])). 83.95/12.28 tff(f31457,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sF9)) ) | ~spl19_120), 83.95/12.28 inference(resolution,[],[f31216,f58])). 83.95/12.28 tff(f31216,plain,( 83.95/12.28 ( ! [X0 : element] : (member(X0,complement(sF9))) ) | ~spl19_120), 83.95/12.28 inference(subsumption_resolution,[],[f31215,f162])). 83.95/12.28 tff(f31215,plain,( 83.95/12.28 ( ! [X0 : element] : (member(X0,empty_set) | member(X0,complement(sF9))) ) | ~spl19_120), 83.95/12.28 inference(superposition,[],[f57,f31138])). 83.95/12.28 tff(f31138,plain,( 83.95/12.28 empty_set = complement(complement(sF9)) | ~spl19_120), 83.95/12.28 inference(avatar_component_clause,[],[f31137])). 83.95/12.28 tff(f31142,plain,( 83.95/12.28 spl19_120 | spl19_121 | ~spl19_5), 83.95/12.28 inference(avatar_split_clause,[],[f31105,f106,f31140,f31137])). 83.95/12.28 tff(f31105,plain,( 83.95/12.28 empty_set = complement(complement(sF9)) | member(sK0(complement(complement(sF9))),sK5) | ~spl19_5), 83.95/12.28 inference(resolution,[],[f753,f271])). 83.95/12.28 tff(f12561,plain,( 83.95/12.28 spl19_118 | spl19_119 | ~spl19_18 | ~spl19_115), 83.95/12.28 inference(avatar_split_clause,[],[f12086,f11925,f158,f12559,f12556])). 83.95/12.28 tff(f12086,plain,( 83.95/12.28 member(sK0(union(sF18,sF9)),sK5) | member(sK0(union(sF18,sF9)),sF11) | (~spl19_18 | ~spl19_115)), 83.95/12.28 inference(resolution,[],[f11926,f351])). 83.95/12.28 tff(f12386,plain,( 83.95/12.28 spl19_117 | ~spl19_7 | ~spl19_115), 83.95/12.28 inference(avatar_split_clause,[],[f12087,f11925,f114,f12384])). 83.95/12.28 tff(f12087,plain,( 83.95/12.28 member(sK0(union(sF18,sF9)),sK2) | (~spl19_7 | ~spl19_115)), 83.95/12.28 inference(resolution,[],[f11926,f272])). 83.95/12.28 tff(f11930,plain,( 83.95/12.28 spl19_115 | spl19_116 | ~spl19_5 | ~spl19_18), 83.95/12.28 inference(avatar_split_clause,[],[f11779,f158,f106,f11928,f11925])). 83.95/12.28 tff(f11779,plain,( 83.95/12.28 empty_set = union(sF18,sF9) | member(sK0(union(sF18,sF9)),sF18) | (~spl19_5 | ~spl19_18)), 83.95/12.28 inference(factoring,[],[f11095])). 83.95/12.28 tff(f11095,plain,( 83.95/12.28 ( ! [X0 : set] : (member(sK0(union(X0,sF9)),sF18) | empty_set = union(X0,sF9) | member(sK0(union(X0,sF9)),X0)) ) | (~spl19_5 | ~spl19_18)), 83.95/12.28 inference(resolution,[],[f11075,f243])). 83.95/12.28 tff(f11075,plain,( 83.95/12.28 ( ! [X0 : set] : (member(sK0(union(X0,sF9)),sK5) | empty_set = union(X0,sF9) | member(sK0(union(X0,sF9)),X0)) ) | ~spl19_5), 83.95/12.28 inference(resolution,[],[f347,f271])). 83.95/12.28 tff(f11787,plain,( 83.95/12.28 spl19_113 | spl19_114 | ~spl19_5 | ~spl19_7 | ~spl19_18), 83.95/12.28 inference(avatar_split_clause,[],[f11780,f158,f114,f106,f11785,f11782])). 83.95/12.28 tff(f11780,plain,( 83.95/12.28 member(sK0(union(sK2,sF9)),sK2) | empty_set = union(sK2,sF9) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.95/12.28 inference(factoring,[],[f11778])). 83.95/12.28 tff(f11778,plain,( 83.95/12.28 ( ! [X0 : set] : (member(sK0(union(X0,sF9)),sK2) | member(sK0(union(X0,sF9)),X0) | empty_set = union(X0,sF9)) ) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.95/12.28 inference(resolution,[],[f11095,f272])). 83.95/12.28 tff(f11602,plain,( 83.95/12.28 spl19_111 | spl19_112 | ~spl19_7), 83.95/12.28 inference(avatar_split_clause,[],[f11333,f114,f11600,f11597])). 83.95/12.28 tff(f11333,plain,( 83.95/12.28 member(sK0(union(sK2,sF18)),sK2) | empty_set = union(sK2,sF18) | ~spl19_7), 83.95/12.28 inference(factoring,[],[f11085])). 83.95/12.28 tff(f11085,plain,( 83.95/12.28 ( ! [X0 : set] : (member(sK0(union(X0,sF18)),sK2) | empty_set = union(X0,sF18) | member(sK0(union(X0,sF18)),X0)) ) | ~spl19_7), 83.95/12.28 inference(resolution,[],[f347,f272])). 83.95/12.28 tff(f11468,plain,( 83.95/12.28 spl19_110 | ~spl19_7 | ~spl19_109), 83.95/12.28 inference(avatar_split_clause,[],[f11339,f11335,f114,f11466])). 83.95/12.28 tff(f11339,plain,( 83.95/12.28 member(sK0(union(sK5,sF9)),sK2) | (~spl19_7 | ~spl19_109)), 83.95/12.28 inference(resolution,[],[f11336,f272])). 83.95/12.28 tff(f11337,plain,( 83.95/12.28 spl19_109 | ~spl19_18 | ~spl19_107), 83.95/12.28 inference(avatar_split_clause,[],[f11295,f11216,f158,f11335])). 83.95/12.28 tff(f11295,plain,( 83.95/12.28 member(sK0(union(sK5,sF9)),sF18) | (~spl19_18 | ~spl19_107)), 83.95/12.28 inference(resolution,[],[f11217,f243])). 83.95/12.28 tff(f11221,plain,( 83.95/12.28 spl19_107 | spl19_108 | ~spl19_5), 83.95/12.28 inference(avatar_split_clause,[],[f11096,f106,f11219,f11216])). 83.95/12.28 tff(f11096,plain,( 83.95/12.28 empty_set = union(sK5,sF9) | member(sK0(union(sK5,sF9)),sK5) | ~spl19_5), 83.95/12.28 inference(factoring,[],[f11075])). 83.95/12.28 tff(f9613,plain,( 83.95/12.28 spl19_105 | spl19_106 | ~spl19_18 | ~spl19_84), 83.95/12.28 inference(avatar_split_clause,[],[f3161,f2010,f158,f9611,f9608])). 83.95/12.28 tff(f3161,plain,( 83.95/12.28 member(sK0(sK5),sF11) | member(sK0(sK5),sK5) | (~spl19_18 | ~spl19_84)), 83.95/12.28 inference(resolution,[],[f351,f2011])). 83.95/12.28 tff(f7134,plain,( 83.95/12.28 spl19_30 | ~spl19_104 | ~spl19_96), 83.95/12.28 inference(avatar_split_clause,[],[f6301,f6201,f7132,f359])). 83.95/12.28 tff(f7132,plain,( 83.95/12.28 spl19_104 <=> 0 = cardinality(sF8)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_104])])). 83.95/12.28 tff(f6201,plain,( 83.95/12.28 spl19_96 <=> cardinality(sF8) = cardinality(sF9)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_96])])). 83.95/12.28 tff(f6301,plain,( 83.95/12.28 empty_set = sF9 | 0 != cardinality(sF8) | ~spl19_96), 83.95/12.28 inference(superposition,[],[f49,f6202])). 83.95/12.28 tff(f6202,plain,( 83.95/12.28 cardinality(sF8) = cardinality(sF9) | ~spl19_96), 83.95/12.28 inference(avatar_component_clause,[],[f6201])). 83.95/12.28 tff(f6919,plain,( 83.95/12.28 spl19_103 | ~spl19_10 | ~spl19_20), 83.95/12.28 inference(avatar_split_clause,[],[f6729,f181,f126,f6917])). 83.95/12.28 tff(f6729,plain,( 83.95/12.28 1 = cardinality(union(sF13,empty_set)) | (~spl19_10 | ~spl19_20)), 83.95/12.28 inference(superposition,[],[f6112,f127])). 83.95/12.28 tff(f6915,plain,( 83.95/12.28 spl19_102 | ~spl19_8 | ~spl19_20), 83.95/12.28 inference(avatar_split_clause,[],[f6728,f181,f118,f6913])). 83.95/12.28 tff(f6728,plain,( 83.95/12.28 1 = cardinality(union(sF8,empty_set)) | (~spl19_8 | ~spl19_20)), 83.95/12.28 inference(superposition,[],[f6112,f119])). 83.95/12.28 tff(f6911,plain,( 83.95/12.28 spl19_101 | ~spl19_9 | ~spl19_20), 83.95/12.28 inference(avatar_split_clause,[],[f6727,f181,f122,f6909])). 83.95/12.28 tff(f6727,plain,( 83.95/12.28 1 = cardinality(union(sF11,empty_set)) | (~spl19_9 | ~spl19_20)), 83.95/12.28 inference(superposition,[],[f6112,f123])). 83.95/12.28 tff(f6796,plain,( 83.95/12.28 spl19_100 | ~spl19_10 | ~spl19_20), 83.95/12.28 inference(avatar_split_clause,[],[f6742,f181,f126,f6794])). 83.95/12.28 tff(f6742,plain,( 83.95/12.28 1 = cardinality(sF13) | (~spl19_10 | ~spl19_20)), 83.95/12.28 inference(superposition,[],[f6730,f127])). 83.95/12.28 tff(f6764,plain,( 83.95/12.28 spl19_99 | ~spl19_8 | ~spl19_20 | ~spl19_96), 83.95/12.28 inference(avatar_split_clause,[],[f6756,f6201,f181,f118,f6762])). 83.95/12.28 tff(f6756,plain,( 83.95/12.28 1 = cardinality(sF9) | (~spl19_8 | ~spl19_20 | ~spl19_96)), 83.95/12.28 inference(backward_demodulation,[],[f6202,f6741])). 83.95/12.28 tff(f6741,plain,( 83.95/12.28 1 = cardinality(sF8) | (~spl19_8 | ~spl19_20)), 83.95/12.28 inference(superposition,[],[f6730,f119])). 83.95/12.28 tff(f6760,plain,( 83.95/12.28 spl19_98 | ~spl19_8 | ~spl19_20), 83.95/12.28 inference(avatar_split_clause,[],[f6741,f181,f118,f6758])). 83.95/12.28 tff(f6755,plain,( 83.95/12.28 spl19_97 | ~spl19_9 | ~spl19_20), 83.95/12.28 inference(avatar_split_clause,[],[f6740,f181,f122,f6753])). 83.95/12.28 tff(f6740,plain,( 83.95/12.28 1 = cardinality(sF11) | (~spl19_9 | ~spl19_20)), 83.95/12.28 inference(superposition,[],[f6730,f123])). 83.95/12.28 tff(f6203,plain,( 83.95/12.28 spl19_96 | ~spl19_20 | ~spl19_64), 83.95/12.28 inference(avatar_split_clause,[],[f6196,f1429,f181,f6201])). 83.95/12.28 tff(f6196,plain,( 83.95/12.28 cardinality(sF8) = cardinality(sF9) | (~spl19_20 | ~spl19_64)), 83.95/12.28 inference(superposition,[],[f6042,f1430])). 83.95/12.28 tff(f5375,plain,( 83.95/12.28 spl19_95 | ~spl19_5 | ~spl19_18), 83.95/12.28 inference(avatar_split_clause,[],[f5060,f158,f106,f5373])). 83.95/12.28 tff(f5060,plain,( 83.95/12.28 empty_set = difference(sF9,sF18) | (~spl19_5 | ~spl19_18)), 83.95/12.28 inference(duplicate_literal_removal,[],[f5054])). 83.95/12.28 tff(f5054,plain,( 83.95/12.28 empty_set = difference(sF9,sF18) | empty_set = difference(sF9,sF18) | (~spl19_5 | ~spl19_18)), 83.95/12.28 inference(resolution,[],[f246,f5040])). 83.95/12.28 tff(f5202,plain,( 83.95/12.28 spl19_94 | ~spl19_7), 83.95/12.28 inference(avatar_split_clause,[],[f5064,f114,f5200])). 83.95/12.28 tff(f5200,plain,( 83.95/12.28 spl19_94 <=> empty_set = difference(sF18,sK2)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_94])])). 83.95/12.28 tff(f5064,plain,( 83.95/12.28 empty_set = difference(sF18,sK2) | ~spl19_7), 83.95/12.28 inference(duplicate_literal_removal,[],[f5051])). 83.95/12.28 tff(f5051,plain,( 83.95/12.28 empty_set = difference(sF18,sK2) | empty_set = difference(sF18,sK2) | ~spl19_7), 83.95/12.28 inference(resolution,[],[f246,f5009])). 83.95/12.28 tff(f5009,plain,( 83.95/12.28 ( ! [X0 : set] : (member(sK0(difference(sF18,X0)),sK2) | empty_set = difference(sF18,X0)) ) | ~spl19_7), 83.95/12.28 inference(resolution,[],[f245,f272])). 83.95/12.28 tff(f5072,plain,( 83.95/12.28 spl19_93 | ~spl19_5), 83.95/12.28 inference(avatar_split_clause,[],[f5061,f106,f5070])). 83.95/12.28 tff(f5070,plain,( 83.95/12.28 spl19_93 <=> empty_set = difference(sF9,sK5)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_93])])). 83.95/12.28 tff(f5061,plain,( 83.95/12.28 empty_set = difference(sF9,sK5) | ~spl19_5), 83.95/12.28 inference(duplicate_literal_removal,[],[f5053])). 83.95/12.28 tff(f5053,plain,( 83.95/12.28 empty_set = difference(sF9,sK5) | empty_set = difference(sF9,sK5) | ~spl19_5), 83.95/12.28 inference(resolution,[],[f246,f4999])). 83.95/12.28 tff(f5068,plain,( 83.95/12.28 spl19_92 | ~spl19_5 | ~spl19_7 | ~spl19_18), 83.95/12.28 inference(avatar_split_clause,[],[f5062,f158,f114,f106,f5066])). 83.95/12.28 tff(f5062,plain,( 83.95/12.28 empty_set = difference(sF9,sK2) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.95/12.28 inference(duplicate_literal_removal,[],[f5052])). 83.95/12.28 tff(f5052,plain,( 83.95/12.28 empty_set = difference(sF9,sK2) | empty_set = difference(sF9,sK2) | (~spl19_5 | ~spl19_7 | ~spl19_18)), 83.95/12.28 inference(resolution,[],[f246,f5049])). 83.95/12.28 tff(f2843,plain,( 83.95/12.28 spl19_91 | ~spl19_9 | ~spl19_74), 83.95/12.28 inference(avatar_split_clause,[],[f2660,f1532,f122,f2841])). 83.95/12.28 tff(f2841,plain,( 83.95/12.28 spl19_91 <=> sK6 = sK0(sF12)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_91])])). 83.95/12.28 tff(f1532,plain,( 83.95/12.28 spl19_74 <=> member(sK0(sF12),sF11)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_74])])). 83.95/12.28 tff(f2660,plain,( 83.95/12.28 sK6 = sK0(sF12) | (~spl19_9 | ~spl19_74)), 83.95/12.28 inference(resolution,[],[f1533,f205])). 83.95/12.28 tff(f1533,plain,( 83.95/12.28 member(sK0(sF12),sF11) | ~spl19_74), 83.95/12.28 inference(avatar_component_clause,[],[f1532])). 83.95/12.28 tff(f2834,plain,( 83.95/12.28 spl19_78 | ~spl19_15 | ~spl19_74), 83.95/12.28 inference(avatar_split_clause,[],[f2659,f1532,f146,f1653])). 83.95/12.28 tff(f1653,plain,( 83.95/12.28 spl19_78 <=> member(sK0(sF12),sF12)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_78])])). 83.95/12.28 tff(f2659,plain,( 83.95/12.28 member(sK0(sF12),sF12) | (~spl19_15 | ~spl19_74)), 83.95/12.28 inference(resolution,[],[f1533,f237])). 83.95/12.28 tff(f2678,plain,( 83.95/12.28 spl19_79 | ~spl19_18 | ~spl19_74), 83.95/12.28 inference(avatar_split_clause,[],[f2658,f1532,f158,f1735])). 83.95/12.28 tff(f2658,plain,( 83.95/12.28 member(sK0(sF12),sF18) | (~spl19_18 | ~spl19_74)), 83.95/12.28 inference(resolution,[],[f1533,f238])). 83.95/12.28 tff(f2539,plain,( 83.95/12.28 ~spl19_43 | ~spl19_89), 83.95/12.28 inference(avatar_contradiction_clause,[],[f2538])). 83.95/12.28 tff(f2538,plain,( 83.95/12.28 $false | (~spl19_43 | ~spl19_89)), 83.95/12.28 inference(subsumption_resolution,[],[f2536,f162])). 83.95/12.28 tff(f2536,plain,( 83.95/12.28 member(sK1,empty_set) | (~spl19_43 | ~spl19_89)), 83.95/12.28 inference(backward_demodulation,[],[f500,f2527])). 83.95/12.28 tff(f2527,plain,( 83.95/12.28 empty_set = sF10 | ~spl19_89), 83.95/12.28 inference(avatar_component_clause,[],[f2526])). 83.95/12.28 tff(f500,plain,( 83.95/12.28 member(sK1,sF10) | ~spl19_43), 83.95/12.28 inference(avatar_component_clause,[],[f499])). 83.95/12.28 tff(f2531,plain,( 83.95/12.28 spl19_89 | spl19_90 | ~spl19_15), 83.95/12.28 inference(avatar_split_clause,[],[f527,f146,f2529,f2526])). 83.95/12.28 tff(f527,plain,( 83.95/12.28 member(sK0(sF10),sF12) | empty_set = sF10 | ~spl19_15), 83.95/12.28 inference(resolution,[],[f242,f59])). 83.95/12.28 tff(f2448,plain,( 83.95/12.28 spl19_88 | ~spl19_7 | ~spl19_87), 83.95/12.28 inference(avatar_split_clause,[],[f2433,f2392,f114,f2446])). 83.95/12.28 tff(f2446,plain,( 83.95/12.28 spl19_88 <=> member(sK0(sK4),sK2)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_88])])). 83.95/12.28 tff(f2433,plain,( 83.95/12.28 member(sK0(sK4),sK2) | (~spl19_7 | ~spl19_87)), 83.95/12.28 inference(resolution,[],[f2393,f272])). 83.95/12.28 tff(f2394,plain,( 83.95/12.28 spl19_87 | ~spl19_18 | ~spl19_85), 83.95/12.28 inference(avatar_split_clause,[],[f2388,f2302,f158,f2392])). 83.95/12.28 tff(f2388,plain,( 83.95/12.28 member(sK0(sK4),sF18) | (~spl19_18 | ~spl19_85)), 83.95/12.28 inference(resolution,[],[f243,f2303])). 83.95/12.28 tff(f2318,plain,( 83.95/12.28 spl19_86 | ~spl19_7 | ~spl19_84), 83.95/12.28 inference(avatar_split_clause,[],[f2312,f2010,f114,f2316])). 83.95/12.28 tff(f2312,plain,( 83.95/12.28 member(sK0(sK5),sK2) | (~spl19_7 | ~spl19_84)), 83.95/12.28 inference(resolution,[],[f2011,f272])). 83.95/12.28 tff(f2304,plain,( 83.95/12.28 spl19_85 | ~spl19_5 | ~spl19_62), 83.95/12.28 inference(avatar_split_clause,[],[f2270,f1284,f106,f2302])). 83.95/12.28 tff(f2270,plain,( 83.95/12.28 member(sK0(sK4),sK5) | (~spl19_5 | ~spl19_62)), 83.95/12.28 inference(resolution,[],[f1285,f271])). 83.95/12.28 tff(f2052,plain,( 83.95/12.28 ~spl19_42 | ~spl19_83), 83.95/12.28 inference(avatar_contradiction_clause,[],[f2051])). 83.95/12.28 tff(f2051,plain,( 83.95/12.28 $false | (~spl19_42 | ~spl19_83)), 83.95/12.28 inference(subsumption_resolution,[],[f2050,f162])). 83.95/12.28 tff(f2050,plain,( 83.95/12.28 member(sK1,empty_set) | (~spl19_42 | ~spl19_83)), 83.95/12.28 inference(backward_demodulation,[],[f494,f2008])). 83.95/12.28 tff(f2008,plain,( 83.95/12.28 empty_set = sK5 | ~spl19_83), 83.95/12.28 inference(avatar_component_clause,[],[f2007])). 83.95/12.28 tff(f2012,plain,( 83.95/12.28 spl19_83 | spl19_84 | ~spl19_18), 83.95/12.28 inference(avatar_split_clause,[],[f530,f158,f2010,f2007])). 83.95/12.28 tff(f530,plain,( 83.95/12.28 member(sK0(sK5),sF18) | empty_set = sK5 | ~spl19_18), 83.95/12.28 inference(resolution,[],[f243,f59])). 83.95/12.28 tff(f1931,plain,( 83.95/12.28 spl19_82 | ~spl19_16 | ~spl19_78), 83.95/12.28 inference(avatar_split_clause,[],[f1807,f1653,f150,f1929])). 83.95/12.28 tff(f1807,plain,( 83.95/12.28 member(sK0(sF12),sF14) | (~spl19_16 | ~spl19_78)), 83.95/12.28 inference(resolution,[],[f1654,f244])). 83.95/12.28 tff(f1654,plain,( 83.95/12.28 member(sK0(sF12),sF12) | ~spl19_78), 83.95/12.28 inference(avatar_component_clause,[],[f1653])). 83.95/12.28 tff(f1864,plain,( 83.95/12.28 spl19_81 | ~spl19_8 | ~spl19_77), 83.95/12.28 inference(avatar_split_clause,[],[f1805,f1649,f118,f1862])). 83.95/12.28 tff(f1649,plain,( 83.95/12.28 spl19_77 <=> member(sK0(sF12),sF8)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_77])])). 83.95/12.28 tff(f1805,plain,( 83.95/12.28 sK1 = sK0(sF12) | (~spl19_8 | ~spl19_77)), 83.95/12.28 inference(resolution,[],[f1650,f204])). 83.95/12.28 tff(f1650,plain,( 83.95/12.28 member(sK0(sF12),sF8) | ~spl19_77), 83.95/12.28 inference(avatar_component_clause,[],[f1649])). 83.95/12.28 tff(f1777,plain,( 83.95/12.28 spl19_80 | ~spl19_7 | ~spl19_79), 83.95/12.28 inference(avatar_split_clause,[],[f1755,f1735,f114,f1775])). 83.95/12.28 tff(f1775,plain,( 83.95/12.28 spl19_80 <=> member(sK0(sF12),sK2)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_80])])). 83.95/12.28 tff(f1755,plain,( 83.95/12.28 member(sK0(sF12),sK2) | (~spl19_7 | ~spl19_79)), 83.95/12.28 inference(resolution,[],[f1736,f272])). 83.95/12.28 tff(f1737,plain,( 83.95/12.28 spl19_79 | ~spl19_18 | ~spl19_76), 83.95/12.28 inference(avatar_split_clause,[],[f1733,f1644,f158,f1735])). 83.95/12.28 tff(f1644,plain,( 83.95/12.28 spl19_76 <=> member(sK0(sF12),sK5)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_76])])). 83.95/12.28 tff(f1733,plain,( 83.95/12.28 member(sK0(sF12),sF18) | (~spl19_18 | ~spl19_76)), 83.95/12.28 inference(resolution,[],[f1645,f243])). 83.95/12.28 tff(f1645,plain,( 83.95/12.28 member(sK0(sF12),sK5) | ~spl19_76), 83.95/12.28 inference(avatar_component_clause,[],[f1644])). 83.95/12.28 tff(f1655,plain,( 83.95/12.28 spl19_78 | ~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61 | ~spl19_73), 83.95/12.28 inference(avatar_split_clause,[],[f1641,f1529,f1281,f469,f146,f138,f1653])). 83.95/12.28 tff(f1529,plain,( 83.95/12.28 spl19_73 <=> member(sK0(sF12),sF9)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_73])])). 83.95/12.28 tff(f1641,plain,( 83.95/12.28 member(sK0(sF12),sF12) | (~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61 | ~spl19_73)), 83.95/12.28 inference(resolution,[],[f1530,f1434])). 83.95/12.28 tff(f1434,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF12)) ) | (~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61)), 83.95/12.28 inference(backward_demodulation,[],[f242,f1427])). 83.95/12.28 tff(f1427,plain,( 83.95/12.28 sF9 = sF10 | (~spl19_13 | ~spl19_40 | ~spl19_61)), 83.95/12.28 inference(backward_demodulation,[],[f470,f1313])). 83.95/12.28 tff(f1313,plain,( 83.95/12.28 sF9 = union(empty_set,sF8) | (~spl19_13 | ~spl19_61)), 83.95/12.28 inference(backward_demodulation,[],[f139,f1282])). 83.95/12.28 tff(f1530,plain,( 83.95/12.28 member(sK0(sF12),sF9) | ~spl19_73), 83.95/12.28 inference(avatar_component_clause,[],[f1529])). 83.95/12.28 tff(f1651,plain,( 83.95/12.28 spl19_77 | ~spl19_13 | ~spl19_40 | ~spl19_61 | ~spl19_73), 83.95/12.28 inference(avatar_split_clause,[],[f1640,f1529,f1281,f469,f138,f1649])). 83.95/12.28 tff(f1640,plain,( 83.95/12.28 member(sK0(sF12),sF8) | (~spl19_13 | ~spl19_40 | ~spl19_61 | ~spl19_73)), 83.95/12.28 inference(resolution,[],[f1530,f1436])). 83.95/12.28 tff(f1436,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sF9) | member(X0,sF8)) ) | (~spl19_13 | ~spl19_40 | ~spl19_61)), 83.95/12.28 inference(backward_demodulation,[],[f475,f1427])). 83.95/12.28 tff(f475,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sF10) | member(X0,sF8)) ) | ~spl19_40), 83.95/12.28 inference(subsumption_resolution,[],[f472,f162])). 83.95/12.28 tff(f472,plain,( 83.95/12.28 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF10) | member(X0,sF8)) ) | ~spl19_40), 83.95/12.28 inference(superposition,[],[f55,f470])). 83.95/12.28 tff(f1646,plain,( 83.95/12.28 spl19_76 | ~spl19_5 | ~spl19_73), 83.95/12.28 inference(avatar_split_clause,[],[f1642,f1529,f106,f1644])). 83.95/12.28 tff(f1642,plain,( 83.95/12.28 member(sK0(sF12),sK5) | (~spl19_5 | ~spl19_73)), 83.95/12.28 inference(resolution,[],[f1530,f271])). 83.95/12.28 tff(f1540,plain,( 83.95/12.28 spl19_67 | ~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61 | ~spl19_70), 83.95/12.28 inference(avatar_split_clause,[],[f1525,f1494,f1281,f469,f146,f138,f1469])). 83.95/12.28 tff(f1494,plain,( 83.95/12.28 spl19_70 <=> member(sK0(sF9),sF9)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_70])])). 83.95/12.28 tff(f1525,plain,( 83.95/12.28 member(sK0(sF9),sF12) | (~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61 | ~spl19_70)), 83.95/12.28 inference(resolution,[],[f1495,f1434])). 83.95/12.28 tff(f1495,plain,( 83.95/12.28 member(sK0(sF9),sF9) | ~spl19_70), 83.95/12.28 inference(avatar_component_clause,[],[f1494])). 83.95/12.28 tff(f1539,plain,( 83.95/12.28 spl19_68 | ~spl19_13 | ~spl19_40 | ~spl19_61 | ~spl19_70), 83.95/12.28 inference(avatar_split_clause,[],[f1524,f1494,f1281,f469,f138,f1477])). 83.95/12.28 tff(f1524,plain,( 83.95/12.28 member(sK0(sF9),sF8) | (~spl19_13 | ~spl19_40 | ~spl19_61 | ~spl19_70)), 83.95/12.28 inference(resolution,[],[f1495,f1436])). 83.95/12.28 tff(f1537,plain,( 83.95/12.28 spl19_73 | spl19_74 | spl19_75 | ~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61), 83.95/12.28 inference(avatar_split_clause,[],[f1486,f1281,f469,f146,f138,f1535,f1532,f1529])). 83.95/12.28 tff(f1486,plain,( 83.95/12.28 empty_set = sF12 | member(sK0(sF12),sF9) | member(sK0(sF12),sF11) | (~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61)), 83.95/12.28 inference(resolution,[],[f1435,f59])). 83.95/12.28 tff(f1435,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sF12) | member(X0,sF11) | member(X0,sF9)) ) | (~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61)), 83.95/12.28 inference(backward_demodulation,[],[f350,f1427])). 83.95/12.28 tff(f1527,plain,( 83.95/12.28 spl19_29 | ~spl19_5 | ~spl19_70), 83.95/12.28 inference(avatar_split_clause,[],[f1526,f1494,f106,f356])). 83.95/12.28 tff(f1526,plain,( 83.95/12.28 member(sK0(sF9),sK5) | (~spl19_5 | ~spl19_70)), 83.95/12.28 inference(resolution,[],[f1495,f271])). 83.95/12.28 tff(f1523,plain,( 83.95/12.28 spl19_72 | ~spl19_8 | ~spl19_68), 83.95/12.28 inference(avatar_split_clause,[],[f1484,f1477,f118,f1521])). 83.95/12.28 tff(f1521,plain,( 83.95/12.28 spl19_72 <=> sK1 = sK0(sF9)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_72])])). 83.95/12.28 tff(f1484,plain,( 83.95/12.28 sK1 = sK0(sF9) | (~spl19_8 | ~spl19_68)), 83.95/12.28 inference(resolution,[],[f1478,f204])). 83.95/12.28 tff(f1478,plain,( 83.95/12.28 member(sK0(sF9),sF8) | ~spl19_68), 83.95/12.28 inference(avatar_component_clause,[],[f1477])). 83.95/12.28 tff(f1500,plain,( 83.95/12.28 spl19_70 | ~spl19_13 | ~spl19_68), 83.95/12.28 inference(avatar_split_clause,[],[f1483,f1477,f138,f1494])). 83.95/12.28 tff(f1483,plain,( 83.95/12.28 member(sK0(sF9),sF9) | (~spl19_13 | ~spl19_68)), 83.95/12.28 inference(resolution,[],[f1478,f235])). 83.95/12.28 tff(f1499,plain,( 83.95/12.28 spl19_70 | spl19_71 | ~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61 | ~spl19_67), 83.95/12.28 inference(avatar_split_clause,[],[f1485,f1469,f1281,f469,f146,f138,f1497,f1494])). 83.95/12.28 tff(f1497,plain,( 83.95/12.28 spl19_71 <=> member(sK0(sF9),sF11)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_71])])). 83.95/12.28 tff(f1485,plain,( 83.95/12.28 member(sK0(sF9),sF11) | member(sK0(sF9),sF9) | (~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61 | ~spl19_67)), 83.95/12.28 inference(resolution,[],[f1435,f1470])). 83.95/12.28 tff(f1470,plain,( 83.95/12.28 member(sK0(sF9),sF12) | ~spl19_67), 83.95/12.28 inference(avatar_component_clause,[],[f1469])). 83.95/12.28 tff(f1492,plain,( 83.95/12.28 spl19_69 | ~spl19_16 | ~spl19_67), 83.95/12.28 inference(avatar_split_clause,[],[f1472,f1469,f150,f1490])). 83.95/12.28 tff(f1490,plain,( 83.95/12.28 spl19_69 <=> member(sK0(sF9),sF14)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_69])])). 83.95/12.28 tff(f1472,plain,( 83.95/12.28 member(sK0(sF9),sF14) | (~spl19_16 | ~spl19_67)), 83.95/12.28 inference(resolution,[],[f1470,f244])). 83.95/12.28 tff(f1479,plain,( 83.95/12.28 spl19_68 | spl19_30 | ~spl19_13 | ~spl19_40 | ~spl19_61), 83.95/12.28 inference(avatar_split_clause,[],[f1452,f1281,f469,f138,f359,f1477])). 83.95/12.28 tff(f1452,plain,( 83.95/12.28 empty_set = sF9 | member(sK0(sF9),sF8) | (~spl19_13 | ~spl19_40 | ~spl19_61)), 83.95/12.28 inference(resolution,[],[f1436,f59])). 83.95/12.28 tff(f1471,plain,( 83.95/12.28 spl19_67 | spl19_30 | ~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61), 83.95/12.28 inference(avatar_split_clause,[],[f1450,f1281,f469,f146,f138,f359,f1469])). 83.95/12.28 tff(f1450,plain,( 83.95/12.28 empty_set = sF9 | member(sK0(sF9),sF12) | (~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61)), 83.95/12.28 inference(resolution,[],[f1434,f59])). 83.95/12.28 tff(f1445,plain,( 83.95/12.28 spl19_66 | ~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61), 83.95/12.28 inference(avatar_split_clause,[],[f1432,f1281,f469,f146,f138,f1443])). 83.95/12.28 tff(f1432,plain,( 83.95/12.28 sF12 = union(sF9,sF11) | (~spl19_13 | ~spl19_15 | ~spl19_40 | ~spl19_61)), 83.95/12.28 inference(backward_demodulation,[],[f147,f1427])). 83.95/12.28 tff(f1441,plain,( 83.95/12.28 spl19_65 | ~spl19_13 | ~spl19_40 | ~spl19_61), 83.95/12.28 inference(avatar_split_clause,[],[f1427,f1281,f469,f138,f1439])). 83.95/12.28 tff(f1431,plain,( 83.95/12.28 spl19_64 | ~spl19_13 | ~spl19_61), 83.95/12.28 inference(avatar_split_clause,[],[f1313,f1281,f138,f1429])). 83.95/12.28 tff(f1320,plain,( 83.95/12.28 spl19_63 | ~spl19_37 | ~spl19_61), 83.95/12.28 inference(avatar_split_clause,[],[f1314,f1281,f448,f1318])). 83.95/12.28 tff(f1318,plain,( 83.95/12.28 spl19_63 <=> subset(empty_set,empty_set)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_63])])). 83.95/12.28 tff(f448,plain,( 83.95/12.28 spl19_37 <=> subset(empty_set,sK4)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_37])])). 83.95/12.28 tff(f1314,plain,( 83.95/12.28 subset(empty_set,empty_set) | (~spl19_37 | ~spl19_61)), 83.95/12.28 inference(backward_demodulation,[],[f449,f1282])). 83.95/12.28 tff(f449,plain,( 83.95/12.28 subset(empty_set,sK4) | ~spl19_37), 83.95/12.28 inference(avatar_component_clause,[],[f448])). 83.95/12.28 tff(f1286,plain,( 83.95/12.28 spl19_61 | spl19_62 | ~spl19_13), 83.95/12.28 inference(avatar_split_clause,[],[f516,f138,f1284,f1281])). 83.95/12.28 tff(f516,plain,( 83.95/12.28 member(sK0(sK4),sF9) | empty_set = sK4 | ~spl19_13), 83.95/12.28 inference(resolution,[],[f240,f59])). 83.95/12.28 tff(f1041,plain,( 83.95/12.28 ~spl19_25 | ~spl19_59), 83.95/12.28 inference(avatar_contradiction_clause,[],[f1040])). 83.95/12.28 tff(f1040,plain,( 83.95/12.28 $false | (~spl19_25 | ~spl19_59)), 83.95/12.28 inference(subsumption_resolution,[],[f1037,f162])). 83.95/12.28 tff(f1037,plain,( 83.95/12.28 member(sK7,empty_set) | (~spl19_25 | ~spl19_59)), 83.95/12.28 inference(backward_demodulation,[],[f217,f1017])). 83.95/12.28 tff(f1017,plain,( 83.95/12.28 empty_set = sF13 | ~spl19_59), 83.95/12.28 inference(avatar_component_clause,[],[f1016])). 83.95/12.28 tff(f1021,plain,( 83.95/12.28 spl19_59 | spl19_60 | ~spl19_10), 83.95/12.28 inference(avatar_split_clause,[],[f483,f126,f1019,f1016])). 83.95/12.28 tff(f483,plain,( 83.95/12.28 empty_set = sF13 | sK7 = sK0(sF13) | ~spl19_10), 83.95/12.28 inference(resolution,[],[f206,f59])). 83.95/12.28 tff(f762,plain,( 83.95/12.28 ~spl19_24 | ~spl19_57), 83.95/12.28 inference(avatar_contradiction_clause,[],[f761])). 83.95/12.28 tff(f761,plain,( 83.95/12.28 $false | (~spl19_24 | ~spl19_57)), 83.95/12.28 inference(subsumption_resolution,[],[f758,f162])). 83.95/12.28 tff(f758,plain,( 83.95/12.28 member(sK6,empty_set) | (~spl19_24 | ~spl19_57)), 83.95/12.28 inference(backward_demodulation,[],[f213,f683])). 83.95/12.28 tff(f683,plain,( 83.95/12.28 empty_set = sF11 | ~spl19_57), 83.95/12.28 inference(avatar_component_clause,[],[f682])). 83.95/12.28 tff(f687,plain,( 83.95/12.28 spl19_57 | spl19_58 | ~spl19_9), 83.95/12.28 inference(avatar_split_clause,[],[f481,f122,f685,f682])). 83.95/12.28 tff(f481,plain,( 83.95/12.28 sK6 = sK0(sF11) | empty_set = sF11 | ~spl19_9), 83.95/12.28 inference(resolution,[],[f205,f59])). 83.95/12.28 tff(f642,plain,( 83.95/12.28 ~spl19_30 | ~spl19_41), 83.95/12.28 inference(avatar_contradiction_clause,[],[f641])). 83.95/12.28 tff(f641,plain,( 83.95/12.28 $false | (~spl19_30 | ~spl19_41)), 83.95/12.28 inference(subsumption_resolution,[],[f640,f162])). 83.95/12.28 tff(f640,plain,( 83.95/12.28 member(sK1,empty_set) | (~spl19_30 | ~spl19_41)), 83.95/12.28 inference(backward_demodulation,[],[f489,f360])). 83.95/12.28 tff(f360,plain,( 83.95/12.28 empty_set = sF9 | ~spl19_30), 83.95/12.28 inference(avatar_component_clause,[],[f359])). 83.95/12.28 tff(f622,plain,( 83.95/12.28 ~spl19_23 | ~spl19_55), 83.95/12.28 inference(avatar_contradiction_clause,[],[f621])). 83.95/12.28 tff(f621,plain,( 83.95/12.28 $false | (~spl19_23 | ~spl19_55)), 83.95/12.28 inference(subsumption_resolution,[],[f616,f162])). 83.95/12.28 tff(f616,plain,( 83.95/12.28 member(sK1,empty_set) | (~spl19_23 | ~spl19_55)), 83.95/12.28 inference(backward_demodulation,[],[f209,f608])). 83.95/12.28 tff(f608,plain,( 83.95/12.28 empty_set = sF8 | ~spl19_55), 83.95/12.28 inference(avatar_component_clause,[],[f607])). 83.95/12.28 tff(f612,plain,( 83.95/12.28 spl19_55 | spl19_56 | ~spl19_8), 83.95/12.28 inference(avatar_split_clause,[],[f479,f118,f610,f607])). 83.95/12.28 tff(f610,plain,( 83.95/12.28 spl19_56 <=> sK1 = sK0(sF8)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_56])])). 83.95/12.28 tff(f479,plain,( 83.95/12.28 sK1 = sK0(sF8) | empty_set = sF8 | ~spl19_8), 83.95/12.28 inference(resolution,[],[f204,f59])). 83.95/12.28 tff(f585,plain,( 83.95/12.28 spl19_54 | ~spl19_16 | ~spl19_52), 83.95/12.28 inference(avatar_split_clause,[],[f581,f563,f150,f583])). 83.95/12.28 tff(f581,plain,( 83.95/12.28 member(sK1,sF14) | (~spl19_16 | ~spl19_52)), 83.95/12.28 inference(resolution,[],[f564,f244])). 83.95/12.28 tff(f569,plain,( 83.95/12.28 spl19_53 | ~spl19_16 | ~spl19_44), 83.95/12.28 inference(avatar_split_clause,[],[f533,f505,f150,f567])). 83.95/12.28 tff(f533,plain,( 83.95/12.28 member(sK6,sF14) | (~spl19_16 | ~spl19_44)), 83.95/12.28 inference(resolution,[],[f244,f506])). 83.95/12.28 tff(f565,plain,( 83.95/12.28 spl19_52 | ~spl19_15 | ~spl19_43), 83.95/12.28 inference(avatar_split_clause,[],[f528,f499,f146,f563])). 83.95/12.28 tff(f528,plain,( 83.95/12.28 member(sK1,sF12) | (~spl19_15 | ~spl19_43)), 83.95/12.28 inference(resolution,[],[f242,f500])). 83.95/12.28 tff(f561,plain,( 83.95/12.28 spl19_51 | ~spl19_7 | ~spl19_50), 83.95/12.28 inference(avatar_split_clause,[],[f557,f544,f114,f559])). 83.95/12.28 tff(f559,plain,( 83.95/12.28 spl19_51 <=> member(sK0(sF9),sK2)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_51])])). 83.95/12.28 tff(f557,plain,( 83.95/12.28 member(sK0(sF9),sK2) | (~spl19_7 | ~spl19_50)), 83.95/12.28 inference(resolution,[],[f545,f272])). 83.95/12.28 tff(f546,plain,( 83.95/12.28 spl19_50 | ~spl19_18 | ~spl19_29), 83.95/12.28 inference(avatar_split_clause,[],[f529,f356,f158,f544])). 83.95/12.28 tff(f529,plain,( 83.95/12.28 member(sK0(sF9),sF18) | (~spl19_18 | ~spl19_29)), 83.95/12.28 inference(resolution,[],[f243,f357])). 83.95/12.28 tff(f542,plain,( 83.95/12.28 spl19_49 | ~spl19_7 | ~spl19_48), 83.95/12.28 inference(avatar_split_clause,[],[f538,f535,f114,f540])). 83.95/12.28 tff(f538,plain,( 83.95/12.28 member(sK1,sK2) | (~spl19_7 | ~spl19_48)), 83.95/12.28 inference(resolution,[],[f536,f272])). 83.95/12.28 tff(f537,plain,( 83.95/12.28 spl19_48 | ~spl19_18 | ~spl19_42), 83.95/12.28 inference(avatar_split_clause,[],[f531,f493,f158,f535])). 83.95/12.28 tff(f531,plain,( 83.95/12.28 member(sK1,sF18) | (~spl19_18 | ~spl19_42)), 83.95/12.28 inference(resolution,[],[f243,f494])). 83.95/12.28 tff(f525,plain,( 83.95/12.28 spl19_47 | ~spl19_7 | ~spl19_45), 83.95/12.28 inference(avatar_split_clause,[],[f521,f513,f114,f523])). 83.95/12.28 tff(f521,plain,( 83.95/12.28 member(sK6,sK2) | (~spl19_7 | ~spl19_45)), 83.95/12.28 inference(resolution,[],[f514,f272])). 83.95/12.28 tff(f520,plain,( 83.95/12.28 spl19_46 | ~spl19_16 | ~spl19_25), 83.95/12.28 inference(avatar_split_clause,[],[f511,f216,f150,f518])). 83.95/12.28 tff(f518,plain,( 83.95/12.28 spl19_46 <=> member(sK7,sF14)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_46])])). 83.95/12.28 tff(f511,plain,( 83.95/12.28 member(sK7,sF14) | (~spl19_16 | ~spl19_25)), 83.95/12.28 inference(resolution,[],[f239,f217])). 83.95/12.28 tff(f515,plain,( 83.95/12.28 spl19_45 | ~spl19_18 | ~spl19_24), 83.95/12.28 inference(avatar_split_clause,[],[f509,f212,f158,f513])). 83.95/12.28 tff(f509,plain,( 83.95/12.28 member(sK6,sF18) | (~spl19_18 | ~spl19_24)), 83.95/12.28 inference(resolution,[],[f238,f213])). 83.95/12.28 tff(f507,plain,( 83.95/12.28 spl19_44 | ~spl19_15 | ~spl19_24), 83.95/12.28 inference(avatar_split_clause,[],[f503,f212,f146,f505])). 83.95/12.28 tff(f503,plain,( 83.95/12.28 member(sK6,sF12) | (~spl19_15 | ~spl19_24)), 83.95/12.28 inference(resolution,[],[f237,f213])). 83.95/12.28 tff(f501,plain,( 83.95/12.28 spl19_43 | ~spl19_14 | ~spl19_23), 83.95/12.28 inference(avatar_split_clause,[],[f497,f208,f142,f499])). 83.95/12.28 tff(f497,plain,( 83.95/12.28 member(sK1,sF10) | (~spl19_14 | ~spl19_23)), 83.95/12.28 inference(resolution,[],[f236,f209])). 83.95/12.28 tff(f495,plain,( 83.95/12.28 spl19_42 | ~spl19_5 | ~spl19_41), 83.95/12.28 inference(avatar_split_clause,[],[f491,f488,f106,f493])). 83.95/12.28 tff(f491,plain,( 83.95/12.28 member(sK1,sK5) | (~spl19_5 | ~spl19_41)), 83.95/12.28 inference(resolution,[],[f489,f271])). 83.95/12.28 tff(f490,plain,( 83.95/12.28 spl19_41 | ~spl19_13 | ~spl19_23), 83.95/12.28 inference(avatar_split_clause,[],[f486,f208,f138,f488])). 83.95/12.28 tff(f486,plain,( 83.95/12.28 member(sK1,sF9) | (~spl19_13 | ~spl19_23)), 83.95/12.28 inference(resolution,[],[f235,f209])). 83.95/12.28 tff(f471,plain,( 83.95/12.28 spl19_40 | ~spl19_14 | ~spl19_26), 83.95/12.28 inference(avatar_split_clause,[],[f443,f264,f142,f469])). 83.95/12.28 tff(f443,plain,( 83.95/12.28 sF10 = union(empty_set,sF8) | (~spl19_14 | ~spl19_26)), 83.95/12.28 inference(backward_demodulation,[],[f143,f265])). 83.95/12.28 tff(f467,plain,( 83.95/12.28 spl19_38 | ~spl19_12 | ~spl19_19 | ~spl19_20 | ~spl19_26), 83.95/12.28 inference(avatar_split_clause,[],[f456,f264,f181,f173,f134,f460])). 83.95/12.28 tff(f460,plain,( 83.95/12.28 spl19_38 <=> 3 = sF17), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_38])])). 83.95/12.28 tff(f173,plain,( 83.95/12.28 spl19_19 <=> sF17 = $sum(3,sF16)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_19])])). 83.95/12.28 tff(f456,plain,( 83.95/12.28 3 = sF17 | (~spl19_12 | ~spl19_19 | ~spl19_20 | ~spl19_26)), 83.95/12.28 inference(evaluation,[],[f451])). 83.95/12.28 tff(f451,plain,( 83.95/12.28 sF17 = $sum(3,0) | (~spl19_12 | ~spl19_19 | ~spl19_20 | ~spl19_26)), 83.95/12.28 inference(backward_demodulation,[],[f174,f446])). 83.95/12.28 tff(f446,plain,( 83.95/12.28 0 = sF16 | (~spl19_12 | ~spl19_20 | ~spl19_26)), 83.95/12.28 inference(forward_demodulation,[],[f444,f182])). 83.95/12.28 tff(f444,plain,( 83.95/12.28 sF16 = cardinality(empty_set) | (~spl19_12 | ~spl19_26)), 83.95/12.28 inference(backward_demodulation,[],[f135,f265])). 83.95/12.28 tff(f174,plain,( 83.95/12.28 sF17 = $sum(3,sF16) | ~spl19_19), 83.95/12.28 inference(avatar_component_clause,[],[f173])). 83.95/12.28 tff(f466,plain,( 83.95/12.28 ~spl19_39 | spl19_6 | ~spl19_12 | ~spl19_17 | ~spl19_20 | ~spl19_26), 83.95/12.28 inference(avatar_split_clause,[],[f458,f264,f181,f154,f134,f110,f464])). 83.95/12.28 tff(f458,plain,( 83.95/12.28 3 != sF15 | (spl19_6 | ~spl19_12 | ~spl19_17 | ~spl19_20 | ~spl19_26)), 83.95/12.28 inference(backward_demodulation,[],[f111,f455])). 83.95/12.28 tff(f455,plain,( 83.95/12.28 3 = sF17 | (~spl19_12 | ~spl19_17 | ~spl19_20 | ~spl19_26)), 83.95/12.28 inference(evaluation,[],[f452])). 83.95/12.28 tff(f452,plain,( 83.95/12.28 sF17 = $sum(0,3) | (~spl19_12 | ~spl19_17 | ~spl19_20 | ~spl19_26)), 83.95/12.28 inference(backward_demodulation,[],[f155,f446])). 83.95/12.28 tff(f462,plain,( 83.95/12.28 spl19_38 | ~spl19_12 | ~spl19_17 | ~spl19_20 | ~spl19_26), 83.95/12.28 inference(avatar_split_clause,[],[f455,f264,f181,f154,f134,f460])). 83.95/12.28 tff(f454,plain,( 83.95/12.28 spl19_27 | ~spl19_12 | ~spl19_20 | ~spl19_26), 83.95/12.28 inference(avatar_split_clause,[],[f446,f264,f181,f134,f267])). 83.95/12.28 tff(f450,plain,( 83.95/12.28 spl19_37 | ~spl19_3 | ~spl19_26), 83.95/12.28 inference(avatar_split_clause,[],[f445,f264,f98,f448])). 83.95/12.28 tff(f445,plain,( 83.95/12.28 subset(empty_set,sK4) | (~spl19_3 | ~spl19_26)), 83.95/12.28 inference(backward_demodulation,[],[f99,f265])). 83.95/12.28 tff(f428,plain,( 83.95/12.28 ~spl19_28 | ~spl19_36), 83.95/12.28 inference(avatar_contradiction_clause,[],[f426])). 83.95/12.28 tff(f426,plain,( 83.95/12.28 $false | (~spl19_28 | ~spl19_36)), 83.95/12.28 inference(resolution,[],[f424,f278])). 83.95/12.28 tff(f424,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sK4)) ) | ~spl19_36), 83.95/12.28 inference(subsumption_resolution,[],[f422,f162])). 83.95/12.28 tff(f422,plain,( 83.95/12.28 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sK4)) ) | ~spl19_36), 83.95/12.28 inference(superposition,[],[f54,f419])). 83.95/12.28 tff(f419,plain,( 83.95/12.28 empty_set = union(sK4,sF8) | ~spl19_36), 83.95/12.28 inference(avatar_component_clause,[],[f418])). 83.95/12.28 tff(f418,plain,( 83.95/12.28 spl19_36 <=> empty_set = union(sK4,sF8)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_36])])). 83.95/12.28 tff(f420,plain,( 83.95/12.28 spl19_36 | ~spl19_13 | ~spl19_30), 83.95/12.28 inference(avatar_split_clause,[],[f410,f359,f138,f418])). 83.95/12.28 tff(f410,plain,( 83.95/12.28 empty_set = union(sK4,sF8) | (~spl19_13 | ~spl19_30)), 83.95/12.28 inference(backward_demodulation,[],[f139,f360])). 83.95/12.28 tff(f415,plain,( 83.95/12.28 spl19_35 | ~spl19_5 | ~spl19_30), 83.95/12.28 inference(avatar_split_clause,[],[f411,f359,f106,f413])). 83.95/12.28 tff(f413,plain,( 83.95/12.28 spl19_35 <=> subset(empty_set,sK5)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_35])])). 83.95/12.28 tff(f411,plain,( 83.95/12.28 subset(empty_set,sK5) | (~spl19_5 | ~spl19_30)), 83.95/12.28 inference(backward_demodulation,[],[f107,f360])). 83.95/12.28 tff(f407,plain,( 83.95/12.28 ~spl19_29 | ~spl19_34), 83.95/12.28 inference(avatar_contradiction_clause,[],[f405])). 83.95/12.28 tff(f405,plain,( 83.95/12.28 $false | (~spl19_29 | ~spl19_34)), 83.95/12.28 inference(resolution,[],[f402,f357])). 83.95/12.28 tff(f402,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sK5)) ) | ~spl19_34), 83.95/12.28 inference(subsumption_resolution,[],[f400,f162])). 83.95/12.28 tff(f400,plain,( 83.95/12.28 ( ! [X0 : element] : (~member(X0,sK5) | member(X0,empty_set)) ) | ~spl19_34), 83.95/12.28 inference(superposition,[],[f54,f397])). 83.95/12.28 tff(f397,plain,( 83.95/12.28 empty_set = union(sK5,sF11) | ~spl19_34), 83.95/12.28 inference(avatar_component_clause,[],[f396])). 83.95/12.28 tff(f396,plain,( 83.95/12.28 spl19_34 <=> empty_set = union(sK5,sF11)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_34])])). 83.95/12.28 tff(f398,plain,( 83.95/12.28 spl19_34 | ~spl19_18 | ~spl19_31), 83.95/12.28 inference(avatar_split_clause,[],[f388,f369,f158,f396])). 83.95/12.28 tff(f388,plain,( 83.95/12.28 empty_set = union(sK5,sF11) | (~spl19_18 | ~spl19_31)), 83.95/12.28 inference(backward_demodulation,[],[f159,f370])). 83.95/12.28 tff(f370,plain,( 83.95/12.28 empty_set = sF18 | ~spl19_31), 83.95/12.28 inference(avatar_component_clause,[],[f369])). 83.95/12.28 tff(f393,plain,( 83.95/12.28 spl19_33 | ~spl19_7 | ~spl19_31), 83.95/12.28 inference(avatar_split_clause,[],[f389,f369,f114,f391])). 83.95/12.28 tff(f391,plain,( 83.95/12.28 spl19_33 <=> subset(empty_set,sK2)), 83.95/12.28 introduced(avatar_definition,[new_symbols(naming,[spl19_33])])). 83.95/12.28 tff(f389,plain,( 83.95/12.28 subset(empty_set,sK2) | (~spl19_7 | ~spl19_31)), 83.95/12.28 inference(backward_demodulation,[],[f115,f370])). 83.95/12.28 tff(f374,plain,( 83.95/12.28 spl19_31 | spl19_32 | ~spl19_7), 83.95/12.28 inference(avatar_split_clause,[],[f275,f114,f372,f369])). 83.95/12.28 tff(f275,plain,( 83.95/12.28 member(sK0(sF18),sK2) | empty_set = sF18 | ~spl19_7), 83.95/12.28 inference(resolution,[],[f272,f59])). 83.95/12.28 tff(f361,plain,( 83.95/12.28 spl19_29 | spl19_30 | ~spl19_5), 83.95/12.28 inference(avatar_split_clause,[],[f274,f106,f359,f356])). 83.95/12.28 tff(f274,plain,( 83.95/12.28 member(sK0(sF9),sK5) | empty_set = sF9 | ~spl19_5), 83.95/12.28 inference(resolution,[],[f271,f59])). 83.95/12.28 tff(f279,plain,( 83.95/12.28 spl19_28 | spl19_26 | ~spl19_3), 83.95/12.28 inference(avatar_split_clause,[],[f273,f98,f264,f277])). 83.95/12.28 tff(f273,plain,( 83.95/12.28 member(sK0(sK3),sK4) | empty_set = sK3 | ~spl19_3), 83.95/12.28 inference(resolution,[],[f270,f59])). 83.95/12.28 tff(f269,plain,( 83.95/12.28 spl19_26 | ~spl19_27 | ~spl19_12), 83.95/12.28 inference(avatar_split_clause,[],[f177,f134,f267,f264])). 83.95/12.28 tff(f177,plain,( 83.95/12.28 0 != sF16 | empty_set = sK3 | ~spl19_12), 83.95/12.28 inference(superposition,[],[f49,f135])). 83.95/12.28 tff(f218,plain,( 83.95/12.28 spl19_25 | ~spl19_10), 83.95/12.28 inference(avatar_split_clause,[],[f202,f126,f216])). 83.95/12.28 tff(f202,plain,( 83.95/12.28 member(sK7,sF13) | ~spl19_10), 83.95/12.28 inference(superposition,[],[f198,f127])). 83.95/12.28 tff(f214,plain,( 83.95/12.28 spl19_24 | ~spl19_9), 83.95/12.28 inference(avatar_split_clause,[],[f201,f122,f212])). 83.95/12.28 tff(f201,plain,( 83.95/12.28 member(sK6,sF11) | ~spl19_9), 83.95/12.28 inference(superposition,[],[f198,f123])). 83.95/12.28 tff(f210,plain,( 83.95/12.28 spl19_23 | ~spl19_8), 83.95/12.28 inference(avatar_split_clause,[],[f200,f118,f208])). 83.95/12.28 tff(f200,plain,( 83.95/12.28 member(sK1,sF8) | ~spl19_8), 83.95/12.28 inference(superposition,[],[f198,f119])). 83.95/12.28 tff(f197,plain,( 83.95/12.28 ~spl19_21 | spl19_22 | ~spl19_11), 83.95/12.28 inference(avatar_split_clause,[],[f176,f130,f195,f192])). 83.95/12.28 tff(f176,plain,( 83.95/12.28 empty_set = sF14 | 0 != sF15 | ~spl19_11), 83.95/12.28 inference(superposition,[],[f49,f131])). 83.95/12.28 tff(f183,plain,( 83.95/12.28 spl19_20), 83.95/12.28 inference(avatar_split_clause,[],[f178,f181])). 83.95/12.28 tff(f178,plain,( 83.95/12.28 0 = cardinality(empty_set)), 83.95/12.28 inference(gaussian_variable_elimination,[],[f50])). 83.95/12.28 tff(f50,plain,( 83.95/12.28 ( ! [X0 : set] : (empty_set != X0 | 0 = cardinality(X0)) )), 83.95/12.28 inference(cnf_transformation,[],[f29])). 83.95/12.28 tff(f175,plain,( 83.95/12.28 spl19_19 | ~spl19_17), 83.95/12.28 inference(avatar_split_clause,[],[f165,f154,f173])). 83.95/12.28 tff(f165,plain,( 83.95/12.28 sF17 = $sum(3,sF16) | ~spl19_17), 83.95/12.28 inference(superposition,[],[f15,f155])). 83.95/12.28 tff(f160,plain,( 83.95/12.28 spl19_18), 83.95/12.28 inference(avatar_split_clause,[],[f87,f158])). 83.95/12.28 tff(f87,plain,( 83.95/12.28 union(sK5,sF11) = sF18), 83.95/12.28 introduced(function_definition,[new_symbols(definition,[sF18])])). 83.95/12.28 tff(f156,plain,( 83.95/12.28 spl19_17), 83.95/12.28 inference(avatar_split_clause,[],[f85,f154])). 83.95/12.28 tff(f85,plain,( 83.95/12.28 $sum(sF16,3) = sF17), 83.95/12.28 introduced(function_definition,[new_symbols(definition,[sF17])])). 83.95/12.28 tff(f152,plain,( 83.95/12.28 spl19_16), 83.95/12.28 inference(avatar_split_clause,[],[f82,f150])). 83.95/12.28 tff(f82,plain,( 83.95/12.28 union(sF12,sF13) = sF14), 83.95/12.28 introduced(function_definition,[new_symbols(definition,[sF14])])). 83.95/12.28 tff(f148,plain,( 83.95/12.28 spl19_15), 83.95/12.28 inference(avatar_split_clause,[],[f80,f146])). 83.95/12.28 tff(f80,plain,( 83.95/12.28 union(sF10,sF11) = sF12), 83.95/12.28 introduced(function_definition,[new_symbols(definition,[sF12])])). 83.95/12.28 tff(f144,plain,( 83.95/12.28 spl19_14), 83.95/12.28 inference(avatar_split_clause,[],[f78,f142])). 83.95/12.28 tff(f78,plain,( 83.95/12.28 union(sK3,sF8) = sF10), 83.95/12.28 introduced(function_definition,[new_symbols(definition,[sF10])])). 83.95/12.28 tff(f140,plain,( 83.95/12.28 spl19_13), 83.95/12.28 inference(avatar_split_clause,[],[f76,f138])). 83.95/12.28 tff(f76,plain,( 83.95/12.28 union(sK4,sF8) = sF9), 83.95/12.28 introduced(function_definition,[new_symbols(definition,[sF9])])). 83.95/12.28 tff(f136,plain,( 83.95/12.28 spl19_12), 83.95/12.28 inference(avatar_split_clause,[],[f84,f134])). 83.95/12.28 tff(f84,plain,( 83.95/12.28 cardinality(sK3) = sF16), 83.95/12.28 introduced(function_definition,[new_symbols(definition,[sF16])])). 83.95/12.28 tff(f132,plain,( 83.95/12.28 spl19_11), 83.95/12.28 inference(avatar_split_clause,[],[f83,f130])). 83.95/12.28 tff(f83,plain,( 83.95/12.28 cardinality(sF14) = sF15), 83.95/12.28 introduced(function_definition,[new_symbols(definition,[sF15])])). 83.95/12.28 tff(f128,plain,( 83.95/12.28 spl19_10), 83.95/12.28 inference(avatar_split_clause,[],[f81,f126])). 83.95/12.28 tff(f81,plain,( 83.95/12.28 singleton(sK7) = sF13), 83.95/12.28 introduced(function_definition,[new_symbols(definition,[sF13])])). 83.95/12.28 tff(f124,plain,( 83.95/12.28 spl19_9), 83.95/12.28 inference(avatar_split_clause,[],[f79,f122])). 83.95/12.28 tff(f79,plain,( 83.95/12.28 singleton(sK6) = sF11), 83.95/12.28 introduced(function_definition,[new_symbols(definition,[sF11])])). 83.95/12.28 tff(f120,plain,( 83.95/12.28 spl19_8), 83.95/12.28 inference(avatar_split_clause,[],[f75,f118])). 83.95/12.28 tff(f75,plain,( 83.95/12.28 singleton(sK1) = sF8), 83.95/12.28 introduced(function_definition,[new_symbols(definition,[sF8])])). 83.95/12.28 tff(f116,plain,( 83.95/12.28 spl19_7), 83.95/12.28 inference(avatar_split_clause,[],[f88,f114])). 83.95/12.28 tff(f88,plain,( 83.95/12.28 subset(sF18,sK2)), 83.95/12.28 inference(definition_folding,[],[f65,f87,f79])). 83.95/12.28 tff(f65,plain,( 83.95/12.28 subset(union(sK5,singleton(sK6)),sK2)), 83.95/12.28 inference(cnf_transformation,[],[f41])). 83.95/12.28 tff(f41,plain,( 83.95/12.28 ? [X2 : element,X0 : set,X1 : set,X3 : set,X6 : set,X4 : element,X5 : element] : (subset(union(X3,singleton(X2)),X6) & ~member(X4,X6) & subset(X1,X3) & cardinality(union(union(union(X1,singleton(X2)),singleton(X4)),singleton(X5))) != $sum(cardinality(X1),3) & ~member(X2,X3) & subset(union(X6,singleton(X4)),X0) & ~member(X5,X0))), 83.95/12.28 inference(flattening,[],[f40])). 83.95/12.28 tff(f40,plain,( 83.95/12.28 ? [X0 : set,X6 : set,X4 : element,X2 : element,X5 : element,X1 : set,X3 : set] : (cardinality(union(union(union(X1,singleton(X2)),singleton(X4)),singleton(X5))) != $sum(cardinality(X1),3) & (subset(union(X6,singleton(X4)),X0) & subset(union(X3,singleton(X2)),X6) & ~member(X2,X3) & subset(X1,X3) & ~member(X5,X0) & ~member(X4,X6)))), 83.95/12.28 inference(ennf_transformation,[],[f37])). 83.95/12.28 tff(f37,plain,( 83.95/12.28 ~! [X0 : set,X6 : set,X4 : element,X2 : element,X5 : element,X1 : set,X3 : set] : ((subset(union(X6,singleton(X4)),X0) & subset(union(X3,singleton(X2)),X6) & ~member(X2,X3) & subset(X1,X3) & ~member(X5,X0) & ~member(X4,X6)) => cardinality(union(union(union(X1,singleton(X2)),singleton(X4)),singleton(X5))) = $sum(cardinality(X1),3))), 83.95/12.28 inference(rectify,[],[f8])). 83.95/12.28 tff(f8,negated_conjecture,( 83.95/12.28 ~! [X8 : set,X5 : set,X9 : element,X6 : set,X10 : element,X11 : element,X7 : set] : ((~member(X9,X6) & subset(union(X6,singleton(X9)),X7) & subset(union(X7,singleton(X10)),X8) & ~member(X11,X8) & ~member(X10,X7) & subset(X5,X6)) => cardinality(union(union(union(X5,singleton(X9)),singleton(X10)),singleton(X11))) = $sum(cardinality(X5),3))), 83.95/12.28 inference(negated_conjecture,[],[f7])). 83.95/12.28 tff(f7,conjecture,( 83.95/12.28 ! [X8 : set,X5 : set,X9 : element,X6 : set,X10 : element,X11 : element,X7 : set] : ((~member(X9,X6) & subset(union(X6,singleton(X9)),X7) & subset(union(X7,singleton(X10)),X8) & ~member(X11,X8) & ~member(X10,X7) & subset(X5,X6)) => cardinality(union(union(union(X5,singleton(X9)),singleton(X10)),singleton(X11))) = $sum(cardinality(X5),3))), 83.95/12.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 83.95/12.28 tff(f112,plain,( 83.95/12.28 ~spl19_6), 83.95/12.28 inference(avatar_split_clause,[],[f86,f110])). 83.95/12.28 tff(f86,plain,( 83.95/12.28 sF15 != sF17), 83.95/12.28 inference(definition_folding,[],[f67,f85,f84,f83,f82,f81,f80,f79,f78,f75])). 83.95/12.28 tff(f67,plain,( 83.95/12.28 cardinality(union(union(union(sK3,singleton(sK1)),singleton(sK6)),singleton(sK7))) != $sum(cardinality(sK3),3)), 83.95/12.28 inference(cnf_transformation,[],[f41])). 83.95/12.28 tff(f108,plain,( 83.95/12.28 spl19_5), 83.95/12.28 inference(avatar_split_clause,[],[f77,f106])). 83.95/12.28 tff(f77,plain,( 83.95/12.28 subset(sF9,sK5)), 83.95/12.28 inference(definition_folding,[],[f70,f76,f75])). 83.95/12.28 tff(f70,plain,( 83.95/12.28 subset(union(sK4,singleton(sK1)),sK5)), 83.95/12.28 inference(cnf_transformation,[],[f41])). 83.95/12.28 tff(f104,plain,( 83.95/12.28 ~spl19_4), 83.95/12.28 inference(avatar_split_clause,[],[f69,f102])). 83.95/12.28 tff(f69,plain,( 83.95/12.28 ~member(sK6,sK5)), 83.95/12.28 inference(cnf_transformation,[],[f41])). 83.95/12.28 tff(f100,plain,( 83.95/12.28 spl19_3), 83.95/12.28 inference(avatar_split_clause,[],[f68,f98])). 83.95/12.28 tff(f68,plain,( 83.95/12.28 subset(sK3,sK4)), 83.95/12.28 inference(cnf_transformation,[],[f41])). 83.95/12.28 tff(f96,plain,( 83.95/12.28 ~spl19_2), 83.95/12.28 inference(avatar_split_clause,[],[f66,f94])). 83.95/12.28 tff(f66,plain,( 83.95/12.28 ~member(sK1,sK4)), 83.95/12.28 inference(cnf_transformation,[],[f41])). 83.95/12.28 tff(f92,plain,( 83.95/12.28 ~spl19_1), 83.95/12.28 inference(avatar_split_clause,[],[f64,f90])). 83.95/12.28 tff(f64,plain,( 83.95/12.28 ~member(sK7,sK2)), 83.95/12.28 inference(cnf_transformation,[],[f41])). 83.95/12.28 % SZS output end Proof for theBenchmark 83.95/12.28 % (23541)------------------------------ 83.95/12.28 % (23541)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 83.95/12.28 % (23541)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 83.95/12.28 % (23541)Termination reason: Refutation 83.95/12.28 83.95/12.28 % (23541)Memory used [KB]: 129099 83.95/12.28 % (23541)Time elapsed: 11.880 s 83.95/12.28 % (23541)Instructions burned: 39099 (million) 83.95/12.28 % (23541)------------------------------ 83.95/12.28 % (23541)------------------------------ 83.95/12.28 % (23540)Success in time 11.955 s 83.95/12.28 EOF