0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d THM 0.12/0.34 % Computer : n018.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.35 % CPULimit : 1440 0.12/0.35 % WCLimit : 180 0.12/0.35 % DateTime : Thu Jul 4 07:21:24 EDT 2024 0.12/0.35 % CPUTime : 0.12/0.37 This is a TFF_ problem 0.12/0.37 Running first-order theorem proving 0.12/0.37 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.43 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.43 % (24079)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) 0.21/0.43 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.43 % (24080)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) 0.21/0.43 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.43 % (24084)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) 0.21/0.43 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.43 % (24083)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) 0.21/0.43 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.43 % (24081)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) 0.21/0.43 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.43 % (24082)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) 0.21/0.43 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.43 % (24078)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) 0.21/0.44 % (24081)Instruction limit reached! 0.21/0.44 % (24081)------------------------------ 0.21/0.44 % (24081)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.44 % (24081)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.44 % (24081)Termination reason: Time limit 0.21/0.44 % (24081)Termination phase: Property scanning 0.21/0.44 0.21/0.44 % (24081)Memory used [KB]: 859 0.21/0.44 % (24081)Time elapsed: 0.003 s 0.21/0.44 % (24081)Instructions burned: 2 (million) 0.21/0.44 % (24080)Instruction limit reached! 0.21/0.44 % (24080)------------------------------ 0.21/0.44 % (24080)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.44 % (24080)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.44 % (24080)Termination reason: Time limit 0.21/0.44 % (24080)Termination phase: Preprocessing 3 0.21/0.44 0.21/0.44 % (24080)Memory used [KB]: 1069 0.21/0.44 % (24080)Time elapsed: 0.006 s 0.21/0.44 % (24080)Instructions burned: 8 (million) 0.21/0.44 % (24083)Instruction limit reached! 0.21/0.44 % (24083)------------------------------ 0.21/0.44 % (24083)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.44 % (24083)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.44 % (24083)Termination reason: Time limit 0.21/0.44 % (24083)Termination phase: Property scanning 0.21/0.44 0.21/0.44 % (24083)Memory used [KB]: 1220 0.21/0.44 % (24083)Time elapsed: 0.009 s 0.21/0.44 % (24083)Instructions burned: 15 (million) 0.21/0.45 % (24079)Instruction limit reached! 0.21/0.45 % (24079)------------------------------ 0.21/0.45 % (24079)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.45 % (24079)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.45 % (24079)Termination reason: Time limit 0.21/0.45 % (24079)Termination phase: Blocked clause elimination 0.21/0.45 0.21/0.45 % (24079)Memory used [KB]: 1383 0.21/0.45 % (24079)Time elapsed: 0.018 s 0.21/0.45 % (24079)Instructions burned: 35 (million) 0.21/0.45 % (24084)Instruction limit reached! 0.21/0.45 % (24084)------------------------------ 0.21/0.45 % (24084)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.45 % (24084)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.45 % (24084)Termination reason: Time limit 0.21/0.45 % (24084)Termination phase: Saturation 0.21/0.45 0.21/0.45 % (24084)Memory used [KB]: 1539 0.21/0.45 % (24084)Time elapsed: 0.021 s 0.21/0.45 % (24084)Instructions burned: 33 (million) 0.21/0.46 % (24082)Instruction limit reached! 0.21/0.46 % (24082)------------------------------ 0.21/0.46 % (24082)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.46 % (24082)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.46 % (24082)Termination reason: Time limit 0.21/0.46 % (24082)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (24082)Memory used [KB]: 1625 0.21/0.46 % (24082)Time elapsed: 0.024 s 0.21/0.46 % (24082)Instructions burned: 38 (million) 0.21/0.50 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.50 % (24085)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) 0.21/0.50 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.50 % (24086)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) 0.21/0.50 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.50 % (24087)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) 0.21/0.50 % (24087)Instruction limit reached! 0.21/0.50 % (24087)------------------------------ 0.21/0.50 % (24087)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.50 % (24087)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.50 % (24087)Termination reason: Time limit 0.21/0.50 % (24087)Termination phase: Property scanning 0.21/0.50 0.21/0.50 % (24087)Memory used [KB]: 858 0.21/0.50 % (24087)Time elapsed: 0.003 s 0.21/0.50 % (24087)Instructions burned: 3 (million) 0.21/0.51 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.51 % (24088)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/35Mi) 0.21/0.51 % (24086)Instruction limit reached! 0.21/0.51 % (24086)------------------------------ 0.21/0.51 % (24086)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.51 % (24086)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.51 % (24086)Termination reason: Time limit 0.21/0.51 % (24086)Termination phase: Saturation 0.21/0.51 0.21/0.51 % (24086)Memory used [KB]: 1537 0.21/0.51 % (24086)Time elapsed: 0.016 s 0.21/0.51 % (24086)Instructions burned: 27 (million) 0.21/0.52 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.52 % (24090)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) 0.21/0.52 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.52 % (24089)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) 0.21/0.52 % (24090)Instruction limit reached! 0.21/0.52 % (24090)------------------------------ 0.21/0.52 % (24090)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.52 % (24090)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.52 % (24090)Termination reason: Time limit 0.21/0.52 % (24090)Termination phase: Property scanning 0.21/0.52 0.21/0.52 % (24090)Memory used [KB]: 858 0.21/0.52 % (24090)Time elapsed: 0.003 s 0.21/0.52 % (24090)Instructions burned: 3 (million) 0.21/0.52 % (24089)Instruction limit reached! 0.21/0.52 % (24089)------------------------------ 0.21/0.52 % (24089)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.52 % (24089)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.52 % (24089)Termination reason: Time limit 0.21/0.52 % (24089)Termination phase: SInE selection 0.21/0.52 0.21/0.52 % (24089)Memory used [KB]: 865 0.21/0.52 % (24089)Time elapsed: 0.004 s 0.21/0.52 % (24089)Instructions burned: 5 (million) 0.21/0.52 % (24085)Instruction limit reached! 0.21/0.52 % (24085)------------------------------ 0.21/0.52 % (24085)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.52 % (24085)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.52 % (24085)Termination reason: Time limit 0.21/0.52 % (24085)Termination phase: Saturation 0.21/0.52 0.21/0.52 % (24085)Memory used [KB]: 1658 0.21/0.52 % (24085)Time elapsed: 0.023 s 0.21/0.52 % (24085)Instructions burned: 37 (million) 0.21/0.53 % (24088)Instruction limit reached! 0.21/0.53 % (24088)------------------------------ 0.21/0.53 % (24088)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.53 % (24088)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.53 % (24088)Termination reason: Time limit 0.21/0.53 % (24088)Termination phase: Saturation 0.21/0.53 0.21/0.53 % (24088)Memory used [KB]: 1635 0.21/0.53 % (24088)Time elapsed: 0.023 s 0.21/0.53 % (24088)Instructions burned: 35 (million) 0.21/0.57 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.57 % (24091)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/21Mi) 0.21/0.58 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.58 % (24092)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 (1798ds/50Mi) 0.21/0.58 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.58 % (24094)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/2Mi) 0.21/0.58 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.58 % (24093)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 (1798ds/2Mi) 0.21/0.58 % (24091)Instruction limit reached! 0.21/0.58 % (24091)------------------------------ 0.21/0.58 % (24091)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.58 % (24093)Instruction limit reached! 0.21/0.58 % (24093)------------------------------ 0.21/0.58 % (24093)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.58 % (24093)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.58 % (24093)Termination reason: Time limit 0.21/0.58 % (24093)Termination phase: Property scanning 0.21/0.58 0.21/0.58 % (24093)Memory used [KB]: 859 0.21/0.58 % (24093)Time elapsed: 0.003 s 0.21/0.58 % (24093)Instructions burned: 2 (million) 0.21/0.58 % (24091)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.58 % (24091)Termination reason: Time limit 0.21/0.58 % (24091)Termination phase: Saturation 0.21/0.58 0.21/0.58 % (24094)Instruction limit reached! 0.21/0.58 % (24094)------------------------------ 0.21/0.58 % (24094)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.58 % (24094)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.58 % (24094)Termination reason: Time limit 0.21/0.58 % (24094)Termination phase: Property scanning 0.21/0.58 0.21/0.58 % (24094)Memory used [KB]: 859 0.21/0.58 % (24094)Time elapsed: 0.003 s 0.21/0.58 % (24094)Instructions burned: 2 (million) 0.21/0.58 % (24091)Memory used [KB]: 1311 0.21/0.58 % (24091)Time elapsed: 0.016 s 0.21/0.58 % (24091)Instructions burned: 21 (million) 0.21/0.58 % (24077)Running in auto input_syntax mode. Trying TPTP 0.21/0.58 % (24095)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 (1798ds/49Mi) 1.63/0.60 % (24077)Running in auto input_syntax mode. Trying TPTP 1.63/0.60 % (24096)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) 1.63/0.61 % (24092)Instruction limit reached! 1.63/0.61 % (24092)------------------------------ 1.63/0.61 % (24092)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.63/0.61 % (24092)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.63/0.61 % (24092)Termination reason: Time limit 1.63/0.61 % (24092)Termination phase: Saturation 1.63/0.61 1.63/0.61 % (24092)Memory used [KB]: 1810 1.63/0.61 % (24092)Time elapsed: 0.031 s 1.63/0.61 % (24092)Instructions burned: 50 (million) 1.63/0.61 % (24096)Instruction limit reached! 1.63/0.61 % (24096)------------------------------ 1.63/0.61 % (24096)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.63/0.61 % (24096)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.63/0.61 % (24096)Termination reason: Time limit 1.63/0.61 % (24096)Termination phase: Saturation 1.63/0.61 1.63/0.61 % (24096)Memory used [KB]: 1353 1.63/0.61 % (24096)Time elapsed: 0.011 s 1.63/0.61 % (24096)Instructions burned: 15 (million) 1.72/0.61 % (24095)Instruction limit reached! 1.72/0.61 % (24095)------------------------------ 1.72/0.61 % (24095)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.72/0.61 % (24095)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.72/0.61 % (24095)Termination reason: Time limit 1.72/0.61 % (24095)Termination phase: Saturation 1.72/0.61 1.72/0.61 % (24095)Memory used [KB]: 1753 1.72/0.61 % (24095)Time elapsed: 0.056 s 1.72/0.61 % (24095)Instructions burned: 50 (million) 1.76/0.64 % (24077)Running in auto input_syntax mode. Trying TPTP 1.76/0.64 % (24097)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 (1797ds/2Mi) 1.76/0.64 % (24077)Running in auto input_syntax mode. Trying TPTP 1.76/0.64 % (24099)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/21Mi) 1.76/0.64 % (24077)Running in auto input_syntax mode. Trying TPTP 1.76/0.64 % (24098)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/15Mi) 1.76/0.64 % (24097)Instruction limit reached! 1.76/0.64 % (24097)------------------------------ 1.76/0.64 % (24097)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.76/0.64 % (24097)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.76/0.64 % (24097)Termination reason: Time limit 1.76/0.64 % (24097)Termination phase: shuffling 1.76/0.64 1.76/0.64 % (24097)Memory used [KB]: 857 1.76/0.64 % (24097)Time elapsed: 0.003 s 1.76/0.64 % (24097)Instructions burned: 2 (million) 1.76/0.64 % (24098)Instruction limit reached! 1.76/0.64 % (24098)------------------------------ 1.76/0.64 % (24098)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.76/0.64 % (24098)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.76/0.64 % (24098)Termination reason: Time limit 1.76/0.64 % (24098)Termination phase: Saturation 1.76/0.64 1.76/0.64 % (24098)Memory used [KB]: 1234 1.76/0.64 % (24098)Time elapsed: 0.010 s 1.76/0.64 % (24098)Instructions burned: 16 (million) 1.76/0.65 % (24099)Instruction limit reached! 1.76/0.65 % (24099)------------------------------ 1.76/0.65 % (24099)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.76/0.65 % (24099)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.76/0.65 % (24099)Termination reason: Time limit 1.76/0.65 % (24099)Termination phase: Saturation 1.76/0.65 1.76/0.65 % (24099)Memory used [KB]: 1392 1.76/0.65 % (24099)Time elapsed: 0.015 s 1.76/0.65 % (24099)Instructions burned: 22 (million) 1.76/0.67 % (24077)Running in auto input_syntax mode. Trying TPTP 1.76/0.67 % (24100)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 (1797ds/46Mi) 1.76/0.67 % (24077)Running in auto input_syntax mode. Trying TPTP 1.76/0.67 % (24101)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/50Mi) 1.76/0.68 % (24077)Running in auto input_syntax mode. Trying TPTP 1.76/0.68 % (24102)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 (1797ds/47Mi) 1.76/0.69 % (24100)Instruction limit reached! 1.76/0.69 % (24100)------------------------------ 1.76/0.69 % (24100)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.76/0.69 % (24100)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.76/0.69 % (24100)Termination reason: Time limit 1.76/0.69 % (24100)Termination phase: Saturation 1.76/0.69 1.76/0.69 % (24100)Memory used [KB]: 1667 1.76/0.69 % (24100)Time elapsed: 0.029 s 1.76/0.69 % (24100)Instructions burned: 47 (million) 1.76/0.70 % (24077)Running in auto input_syntax mode. Trying TPTP 1.76/0.70 % (24103)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 (1797ds/42Mi) 1.76/0.70 % (24101)Instruction limit reached! 1.76/0.70 % (24101)------------------------------ 1.76/0.70 % (24101)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.76/0.70 % (24101)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.76/0.70 % (24101)Termination reason: Time limit 1.76/0.70 % (24101)Termination phase: Saturation 1.76/0.70 1.76/0.70 % (24101)Memory used [KB]: 1701 1.76/0.70 % (24101)Time elapsed: 0.031 s 1.76/0.70 % (24101)Instructions burned: 50 (million) 1.76/0.70 % (24102)Instruction limit reached! 1.76/0.70 % (24102)------------------------------ 1.76/0.70 % (24102)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.76/0.70 % (24102)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.76/0.70 % (24102)Termination reason: Time limit 1.76/0.70 % (24102)Termination phase: Saturation 1.76/0.70 1.76/0.70 % (24102)Memory used [KB]: 1657 1.76/0.70 % (24102)Time elapsed: 0.030 s 1.76/0.70 % (24102)Instructions burned: 47 (million) 1.76/0.71 % (24077)Running in auto input_syntax mode. Trying TPTP 1.76/0.71 % (24104)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/43Mi) 1.76/0.71 % (24077)Running in auto input_syntax mode. Trying TPTP 1.76/0.71 % (24105)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/21Mi) 2.29/0.72 % (24103)Instruction limit reached! 2.29/0.72 % (24103)------------------------------ 2.29/0.72 % (24103)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.29/0.72 % (24103)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.29/0.72 % (24103)Termination reason: Time limit 2.29/0.72 % (24103)Termination phase: Saturation 2.29/0.72 2.29/0.72 % (24103)Memory used [KB]: 1809 2.29/0.72 % (24103)Time elapsed: 0.027 s 2.29/0.72 % (24103)Instructions burned: 43 (million) 2.29/0.72 % (24105)Instruction limit reached! 2.29/0.72 % (24105)------------------------------ 2.29/0.72 % (24105)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.29/0.72 % (24105)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.29/0.72 % (24105)Termination reason: Time limit 2.29/0.72 % (24105)Termination phase: Saturation 2.29/0.72 2.29/0.72 % (24105)Memory used [KB]: 1429 2.29/0.72 % (24105)Time elapsed: 0.015 s 2.29/0.72 % (24105)Instructions burned: 22 (million) 2.29/0.73 % (24104)Instruction limit reached! 2.29/0.73 % (24104)------------------------------ 2.29/0.73 % (24104)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.29/0.73 % (24104)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.29/0.73 % (24104)Termination reason: Time limit 2.29/0.73 % (24104)Termination phase: Saturation 2.29/0.73 2.29/0.73 % (24104)Memory used [KB]: 1762 2.29/0.73 % (24104)Time elapsed: 0.025 s 2.29/0.73 % (24104)Instructions burned: 44 (million) 2.29/0.75 % (24077)Running in auto input_syntax mode. Trying TPTP 2.29/0.75 % (24106)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 (1796ds/21Mi) 2.29/0.76 % (24077)Running in auto input_syntax mode. Trying TPTP 2.29/0.76 % (24107)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 (1796ds/41Mi) 2.29/0.77 % (24106)Instruction limit reached! 2.29/0.77 % (24106)------------------------------ 2.29/0.77 % (24106)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.29/0.77 % (24106)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.29/0.77 % (24106)Termination reason: Time limit 2.29/0.77 % (24106)Termination phase: Saturation 2.29/0.77 2.29/0.77 % (24106)Memory used [KB]: 1365 2.29/0.77 % (24106)Time elapsed: 0.015 s 2.29/0.77 % (24106)Instructions burned: 21 (million) 2.29/0.77 % (24077)Running in auto input_syntax mode. Trying TPTP 2.29/0.77 % (24108)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/15Mi) 2.29/0.78 % (24108)Instruction limit reached! 2.29/0.78 % (24108)------------------------------ 2.29/0.78 % (24108)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.29/0.78 % (24108)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.29/0.78 % (24108)Termination reason: Time limit 2.29/0.78 % (24108)Termination phase: Saturation 2.29/0.78 2.29/0.78 % (24108)Memory used [KB]: 1353 2.29/0.78 % (24108)Time elapsed: 0.011 s 2.29/0.78 % (24108)Instructions burned: 15 (million) 2.75/0.78 % (24077)Running in auto input_syntax mode. Trying TPTP 2.75/0.78 % (24109)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 (1796ds/47Mi) 2.75/0.78 % (24107)Instruction limit reached! 2.75/0.78 % (24107)------------------------------ 2.75/0.78 % (24107)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.75/0.78 % (24107)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.75/0.78 % (24107)Termination reason: Time limit 2.75/0.78 % (24107)Termination phase: Saturation 2.75/0.78 2.75/0.78 % (24107)Memory used [KB]: 1718 2.75/0.78 % (24107)Time elapsed: 0.028 s 2.75/0.78 % (24107)Instructions burned: 42 (million) 2.75/0.79 % (24077)Running in auto input_syntax mode. Trying TPTP 2.75/0.79 % (24110)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/25Mi) 2.75/0.79 % (24077)Running in auto input_syntax mode. Trying TPTP 2.75/0.79 % (24111)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 (1796ds/148Mi) 2.75/0.80 % (24110)Instruction limit reached! 2.75/0.80 % (24110)------------------------------ 2.75/0.80 % (24110)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.75/0.80 % (24110)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.75/0.80 % (24110)Termination reason: Time limit 2.75/0.80 % (24110)Termination phase: Saturation 2.75/0.80 2.75/0.80 % (24110)Memory used [KB]: 1491 2.75/0.80 % (24110)Time elapsed: 0.017 s 2.75/0.80 % (24110)Instructions burned: 26 (million) 2.75/0.80 % (24109)Instruction limit reached! 2.75/0.80 % (24109)------------------------------ 2.75/0.80 % (24109)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.75/0.80 % (24109)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.75/0.80 % (24109)Termination reason: Time limit 2.75/0.80 % (24109)Termination phase: Saturation 2.75/0.80 2.75/0.80 % (24109)Memory used [KB]: 1430 2.75/0.80 % (24109)Time elapsed: 0.025 s 2.75/0.80 % (24109)Instructions burned: 48 (million) 2.75/0.83 % (24077)Running in auto input_syntax mode. Trying TPTP 2.75/0.83 % (24112)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 (1796ds/100Mi) 2.75/0.84 % (24077)Running in auto input_syntax mode. Trying TPTP 2.75/0.84 % (24113)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 (1796ds/76Mi) 2.75/0.85 % (24077)Running in auto input_syntax mode. Trying TPTP 2.75/0.85 % (24114)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 (1795ds/58Mi) 3.08/0.86 % (24077)Running in auto input_syntax mode. Trying TPTP 3.08/0.86 % (24115)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/96Mi) 3.08/0.86 % (24077)Running in auto input_syntax mode. Trying TPTP 3.08/0.86 % (24116)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 (1795ds/108Mi) 3.09/0.87 % (24111)Instruction limit reached! 3.09/0.87 % (24111)------------------------------ 3.09/0.87 % (24111)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.09/0.87 % (24111)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.09/0.87 % (24111)Termination reason: Time limit 3.09/0.87 % (24111)Termination phase: Saturation 3.09/0.87 3.09/0.87 % (24111)Memory used [KB]: 2277 3.09/0.87 % (24111)Time elapsed: 0.084 s 3.09/0.87 % (24111)Instructions burned: 148 (million) 3.09/0.88 % (24114)Instruction limit reached! 3.09/0.88 % (24114)------------------------------ 3.09/0.88 % (24114)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.09/0.88 % (24114)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.09/0.88 % (24114)Termination reason: Time limit 3.09/0.88 % (24114)Termination phase: Saturation 3.09/0.88 3.09/0.88 % (24114)Memory used [KB]: 1804 3.09/0.88 % (24114)Time elapsed: 0.037 s 3.09/0.88 % (24114)Instructions burned: 59 (million) 3.09/0.89 % (24112)Instruction limit reached! 3.09/0.89 % (24112)------------------------------ 3.09/0.89 % (24112)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.09/0.89 % (24112)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.09/0.89 % (24112)Termination reason: Time limit 3.09/0.89 % (24112)Termination phase: Saturation 3.09/0.89 3.09/0.89 % (24112)Memory used [KB]: 2053 3.09/0.89 % (24112)Time elapsed: 0.059 s 3.09/0.89 % (24112)Instructions burned: 100 (million) 3.09/0.89 % (24113)Instruction limit reached! 3.09/0.89 % (24113)------------------------------ 3.09/0.89 % (24113)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.09/0.89 % (24113)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.09/0.89 % (24113)Termination reason: Time limit 3.09/0.89 % (24113)Termination phase: Saturation 3.09/0.89 3.09/0.89 % (24113)Memory used [KB]: 2161 3.09/0.89 % (24113)Time elapsed: 0.048 s 3.09/0.89 % (24113)Instructions burned: 76 (million) 3.60/0.92 % (24115)Instruction limit reached! 3.60/0.92 % (24115)------------------------------ 3.60/0.92 % (24115)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.60/0.92 % (24115)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.60/0.92 % (24115)Termination reason: Time limit 3.60/0.92 % (24115)Termination phase: Saturation 3.60/0.92 3.60/0.92 % (24115)Memory used [KB]: 1522 3.60/0.92 % (24115)Time elapsed: 0.062 s 3.60/0.92 % (24115)Instructions burned: 97 (million) 3.60/0.93 % (24116)Instruction limit reached! 3.60/0.93 % (24116)------------------------------ 3.60/0.93 % (24116)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.60/0.93 % (24116)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.60/0.93 % (24116)Termination reason: Time limit 3.60/0.93 % (24116)Termination phase: Saturation 3.60/0.93 3.60/0.93 % (24116)Memory used [KB]: 1431 3.60/0.93 % (24116)Time elapsed: 0.065 s 3.60/0.93 % (24116)Instructions burned: 109 (million) 3.88/0.94 % (24077)Running in auto input_syntax mode. Trying TPTP 3.88/0.94 % (24117)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 (1795ds/463Mi) 3.88/0.95 % (24077)Running in auto input_syntax mode. Trying TPTP 3.88/0.95 % (24118)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 (1795ds/494Mi) 3.88/0.95 % (24077)Running in auto input_syntax mode. Trying TPTP 3.88/0.95 % (24119)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (1794ds/223Mi) 3.88/0.95 % (24077)Running in auto input_syntax mode. Trying TPTP 3.88/0.95 % (24120)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 (1794ds/343Mi) 3.88/0.99 % (24077)Running in auto input_syntax mode. Trying TPTP 3.88/0.99 % (24121)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) 3.88/0.99 % (24077)Running in auto input_syntax mode. Trying TPTP 3.88/0.99 % (24122)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 (1794ds/150Mi) 3.96/1.08 % (24119)Instruction limit reached! 3.96/1.08 % (24119)------------------------------ 3.96/1.08 % (24119)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.96/1.08 % (24119)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.96/1.08 % (24119)Termination reason: Time limit 3.96/1.08 % (24119)Termination phase: Saturation 3.96/1.08 3.96/1.08 % (24119)Memory used [KB]: 1675 3.96/1.08 % (24119)Time elapsed: 0.129 s 3.96/1.08 % (24119)Instructions burned: 223 (million) 3.96/1.08 % (24122)Instruction limit reached! 3.96/1.08 % (24122)------------------------------ 3.96/1.08 % (24122)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.96/1.08 % (24122)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.96/1.08 % (24122)Termination reason: Time limit 3.96/1.08 % (24122)Termination phase: Saturation 3.96/1.08 3.96/1.08 % (24122)Memory used [KB]: 1492 3.96/1.08 % (24122)Time elapsed: 0.086 s 3.96/1.08 % (24122)Instructions burned: 150 (million) 4.36/1.11 % (24120)Instruction limit reached! 4.36/1.11 % (24120)------------------------------ 4.36/1.11 % (24120)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 4.36/1.11 % (24120)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 4.36/1.11 % (24120)Termination reason: Time limit 4.36/1.11 % (24120)Termination phase: Saturation 4.36/1.11 4.36/1.11 % (24120)Memory used [KB]: 2549 4.36/1.11 % (24120)Time elapsed: 0.164 s 4.36/1.11 % (24120)Instructions burned: 345 (million) 4.36/1.14 % (24077)Running in auto input_syntax mode. Trying TPTP 4.36/1.14 % (24124)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 (1793ds/370Mi) 4.36/1.14 % (24077)Running in auto input_syntax mode. Trying TPTP 4.36/1.14 % (24123)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 (1793ds/160Mi) 5.71/1.18 % (24077)Running in auto input_syntax mode. Trying TPTP 5.71/1.18 % (24125)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 (1792ds/493Mi) 5.71/1.19 % (24118)Instruction limit reached! 5.71/1.19 % (24118)------------------------------ 5.71/1.19 % (24118)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 5.71/1.19 % (24118)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 5.71/1.19 % (24118)Termination reason: Time limit 5.71/1.19 % (24118)Termination phase: Saturation 5.71/1.19 5.71/1.19 % (24118)Memory used [KB]: 2394 5.71/1.19 % (24118)Time elapsed: 0.242 s 5.71/1.19 % (24118)Instructions burned: 495 (million) 5.85/1.21 % (24121)Instruction limit reached! 5.85/1.21 % (24121)------------------------------ 5.85/1.21 % (24121)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 5.85/1.21 % (24121)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 5.85/1.21 % (24121)Termination reason: Time limit 5.85/1.21 % (24121)Termination phase: Saturation 5.85/1.21 5.85/1.21 % (24121)Memory used [KB]: 2883 5.85/1.21 % (24121)Time elapsed: 0.225 s 5.85/1.21 % (24121)Instructions burned: 489 (million) 5.85/1.22 % (24117)Instruction limit reached! 5.85/1.22 % (24117)------------------------------ 5.85/1.22 % (24117)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 5.85/1.22 % (24117)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 5.85/1.22 % (24117)Termination reason: Time limit 5.85/1.22 % (24117)Termination phase: Saturation 5.85/1.22 5.85/1.22 % (24117)Memory used [KB]: 4698 5.85/1.22 % (24117)Time elapsed: 0.282 s 5.85/1.22 % (24117)Instructions burned: 463 (million) 6.06/1.23 % (24123)Instruction limit reached! 6.06/1.23 % (24123)------------------------------ 6.06/1.23 % (24123)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.06/1.23 % (24123)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.06/1.23 % (24123)Termination reason: Time limit 6.06/1.23 % (24123)Termination phase: Saturation 6.06/1.23 6.06/1.23 % (24123)Memory used [KB]: 1564 6.06/1.23 % (24123)Time elapsed: 0.095 s 6.06/1.23 % (24123)Instructions burned: 161 (million) 6.08/1.26 % (24077)Running in auto input_syntax mode. Trying TPTP 6.08/1.26 % (24126)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 (1792ds/81Mi) 6.08/1.28 % (24077)Running in auto input_syntax mode. Trying TPTP 6.08/1.28 % (24127)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 (1791ds/146Mi) 6.08/1.28 % (24077)Running in auto input_syntax mode. Trying TPTP 6.08/1.28 % (24128)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 (1791ds/211Mi) 6.29/1.30 % (24077)Running in auto input_syntax mode. Trying TPTP 6.29/1.30 % (24129)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (1791ds/274Mi) 6.29/1.31 % (24126)Instruction limit reached! 6.29/1.31 % (24126)------------------------------ 6.29/1.31 % (24126)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.29/1.31 % (24126)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.29/1.31 % (24126)Termination reason: Time limit 6.29/1.31 % (24126)Termination phase: Saturation 6.29/1.31 6.29/1.31 % (24126)Memory used [KB]: 1957 6.29/1.31 % (24126)Time elapsed: 0.050 s 6.29/1.31 % (24126)Instructions burned: 81 (million) 6.29/1.36 % (24124)Instruction limit reached! 6.29/1.36 % (24124)------------------------------ 6.29/1.36 % (24124)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.29/1.36 % (24124)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.29/1.36 % (24124)Termination reason: Time limit 6.29/1.36 % (24124)Termination phase: Saturation 6.29/1.36 6.29/1.36 % (24124)Memory used [KB]: 2145 6.29/1.36 % (24124)Time elapsed: 0.219 s 6.29/1.36 % (24124)Instructions burned: 371 (million) 6.60/1.37 % (24127)Instruction limit reached! 6.60/1.37 % (24127)------------------------------ 6.60/1.37 % (24127)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.60/1.37 % (24127)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.60/1.37 % (24127)Termination reason: Time limit 6.60/1.37 % (24127)Termination phase: Saturation 6.60/1.37 6.60/1.37 % (24127)Memory used [KB]: 1515 6.60/1.37 % (24127)Time elapsed: 0.087 s 6.60/1.37 % (24127)Instructions burned: 146 (million) 6.60/1.38 % (24077)Running in auto input_syntax mode. Trying TPTP 6.60/1.38 % (24130)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 (1790ds/330Mi) 6.60/1.40 % (24128)Instruction limit reached! 6.60/1.40 % (24128)------------------------------ 6.60/1.40 % (24128)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 6.60/1.40 % (24128)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 6.60/1.40 % (24128)Termination reason: Time limit 6.60/1.40 % (24128)Termination phase: Saturation 6.60/1.40 6.60/1.40 % (24128)Memory used [KB]: 3212 6.60/1.40 % (24128)Time elapsed: 0.123 s 6.60/1.40 % (24128)Instructions burned: 211 (million) 6.60/1.42 % (24077)Running in auto input_syntax mode. Trying TPTP 6.60/1.42 % (24131)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 (1790ds/294Mi) 6.60/1.44 % (24077)Running in auto input_syntax mode. Trying TPTP 6.60/1.44 % (24132)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (1790ds/213Mi) 7.13/1.46 % (24129)Instruction limit reached! 7.13/1.46 % (24129)------------------------------ 7.13/1.46 % (24129)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 7.13/1.46 % (24129)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 7.13/1.46 % (24129)Termination reason: Time limit 7.13/1.46 % (24129)Termination phase: Saturation 7.13/1.46 7.13/1.46 % (24129)Memory used [KB]: 3329 7.13/1.46 % (24129)Time elapsed: 0.162 s 7.13/1.46 % (24129)Instructions burned: 274 (million) 7.13/1.47 % (24077)Running in auto input_syntax mode. Trying TPTP 7.13/1.47 % (24133)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 (1789ds/374Mi) 7.13/1.48 % (24125)Instruction limit reached! 7.13/1.48 % (24125)------------------------------ 7.13/1.48 % (24125)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 7.13/1.48 % (24125)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 7.13/1.48 % (24125)Termination reason: Time limit 7.13/1.48 % (24125)Termination phase: Saturation 7.13/1.48 7.13/1.48 % (24125)Memory used [KB]: 2447 7.13/1.48 % (24125)Time elapsed: 0.297 s 7.13/1.48 % (24125)Instructions burned: 493 (million) 7.47/1.53 % (24077)Running in auto input_syntax mode. Trying TPTP 7.47/1.53 % Exception at run slice level 7.47/1.53 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 7.54/1.55 % (24077)Running in auto input_syntax mode. Trying TPTP 7.54/1.55 % (24135)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 (1789ds/488Mi) 7.54/1.56 % (24132)Instruction limit reached! 7.54/1.56 % (24132)------------------------------ 7.54/1.56 % (24132)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 7.54/1.56 % (24132)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 7.54/1.56 % (24132)Termination reason: Time limit 7.54/1.56 % (24132)Termination phase: Saturation 7.54/1.56 7.54/1.56 % (24132)Memory used [KB]: 4217 7.54/1.56 % (24132)Time elapsed: 0.146 s 7.54/1.56 % (24132)Instructions burned: 214 (million) 7.54/1.57 % (24130)Instruction limit reached! 7.54/1.57 % (24130)------------------------------ 7.54/1.57 % (24130)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 7.54/1.57 % (24130)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 7.54/1.57 % (24130)Termination reason: Time limit 7.54/1.57 % (24130)Termination phase: Saturation 7.54/1.57 7.54/1.57 % (24130)Memory used [KB]: 3232 7.54/1.57 % (24130)Time elapsed: 0.214 s 7.54/1.57 % (24130)Instructions burned: 330 (million) 7.54/1.59 % (24131)Instruction limit reached! 7.54/1.59 % (24131)------------------------------ 7.54/1.59 % (24131)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 7.54/1.59 % (24131)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 7.54/1.59 % (24131)Termination reason: Time limit 7.54/1.59 % (24131)Termination phase: Saturation 7.54/1.59 7.54/1.59 % (24131)Memory used [KB]: 2089 7.54/1.59 % (24131)Time elapsed: 0.192 s 7.54/1.59 % (24131)Instructions burned: 294 (million) 7.54/1.60 % (24077)Running in auto input_syntax mode. Trying TPTP 7.54/1.60 % (24136)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 (1788ds/230Mi) 8.28/1.62 % (24077)Running in auto input_syntax mode. Trying TPTP 8.28/1.62 % (24137)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 (1788ds/360Mi) 8.28/1.63 % (24077)Running in auto input_syntax mode. Trying TPTP 8.28/1.63 % (24138)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 (1788ds/382Mi) 8.28/1.67 % (24077)Running in auto input_syntax mode. Trying TPTP 8.28/1.67 % (24139)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 (1787ds/256Mi) 8.28/1.68 % (24133)Instruction limit reached! 8.28/1.68 % (24133)------------------------------ 8.28/1.68 % (24133)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 8.28/1.68 % (24133)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 8.28/1.68 % (24133)Termination reason: Time limit 8.28/1.68 % (24133)Termination phase: Saturation 8.28/1.68 8.28/1.68 % (24133)Memory used [KB]: 3081 8.28/1.68 % (24133)Time elapsed: 0.233 s 8.28/1.68 % (24133)Instructions burned: 375 (million) 9.24/1.73 % (24136)Instruction limit reached! 9.24/1.73 % (24136)------------------------------ 9.24/1.73 % (24136)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 9.24/1.73 % (24136)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 9.24/1.73 % (24136)Termination reason: Time limit 9.24/1.73 % (24136)Termination phase: Saturation 9.24/1.73 9.24/1.73 % (24136)Memory used [KB]: 1635 9.24/1.73 % (24136)Time elapsed: 0.136 s 9.24/1.73 % (24136)Instructions burned: 230 (million) 9.24/1.75 % (24077)Running in auto input_syntax mode. Trying TPTP 9.24/1.75 % (24140)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (1786ds/1006Mi) 9.24/1.77 % (24135)Instruction limit reached! 9.24/1.77 % (24135)------------------------------ 9.24/1.77 % (24135)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 9.24/1.77 % (24135)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 9.24/1.77 % (24135)Termination reason: Time limit 9.24/1.77 % (24135)Termination phase: Saturation 9.24/1.77 9.24/1.77 % (24135)Memory used [KB]: 2883 9.24/1.77 % (24135)Time elapsed: 0.245 s 9.24/1.77 % (24135)Instructions burned: 490 (million) 9.82/1.80 % (24077)Running in auto input_syntax mode. Trying TPTP 9.82/1.80 % (24141)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (1786ds/3721Mi) 9.82/1.81 % (24137)Instruction limit reached! 9.82/1.81 % (24137)------------------------------ 9.82/1.81 % (24137)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 9.82/1.81 % (24137)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 9.82/1.81 % (24137)Termination reason: Time limit 9.82/1.81 % (24137)Termination phase: Saturation 9.82/1.81 9.82/1.81 % (24137)Memory used [KB]: 1672 9.82/1.81 % (24137)Time elapsed: 0.185 s 9.82/1.81 % (24137)Instructions burned: 361 (million) 9.96/1.82 % (24139)Instruction limit reached! 9.96/1.82 % (24139)------------------------------ 9.96/1.82 % (24139)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 9.96/1.82 % (24139)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 9.96/1.82 % (24139)Termination reason: Time limit 9.96/1.82 % (24139)Termination phase: Saturation 9.96/1.82 9.96/1.82 % (24139)Memory used [KB]: 3000 9.96/1.82 % (24139)Time elapsed: 0.153 s 9.96/1.82 % (24139)Instructions burned: 257 (million) 10.01/1.84 % (24077)Running in auto input_syntax mode. Trying TPTP 10.01/1.84 % (24142)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 (1786ds/501Mi) 10.01/1.85 % (24138)Instruction limit reached! 10.01/1.85 % (24138)------------------------------ 10.01/1.85 % (24138)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 10.01/1.85 % (24138)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 10.01/1.85 % (24138)Termination reason: Time limit 10.01/1.85 % (24138)Termination phase: Saturation 10.01/1.85 10.01/1.85 % (24138)Memory used [KB]: 2233 10.01/1.85 % (24138)Time elapsed: 0.218 s 10.01/1.85 % (24138)Instructions burned: 382 (million) 10.01/1.87 % (24077)Running in auto input_syntax mode. Trying TPTP 10.01/1.87 % (24143)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 (1785ds/1705Mi) 10.01/1.88 % (24077)Running in auto input_syntax mode. Trying TPTP 10.01/1.88 % (24144)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 (1785ds/2416Mi) 10.13/1.92 % (24077)Running in auto input_syntax mode. Trying TPTP 10.13/1.92 % (24145)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 (1785ds/1683Mi) 10.19/2.03 % (24142)Instruction limit reached! 10.19/2.03 % (24142)------------------------------ 10.19/2.03 % (24142)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 10.19/2.03 % (24142)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 10.19/2.03 % (24142)Termination reason: Time limit 10.19/2.03 % (24142)Termination phase: Saturation 10.19/2.03 10.19/2.03 % (24142)Memory used [KB]: 2014 10.19/2.03 % (24142)Time elapsed: 0.200 s 10.19/2.03 % (24142)Instructions burned: 501 (million) 10.56/2.10 % (24077)Running in auto input_syntax mode. Trying TPTP 10.56/2.10 % (24146)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 (1783ds/330Mi) 13.56/2.31 % (24146)Instruction limit reached! 13.56/2.31 % (24146)------------------------------ 13.56/2.31 % (24146)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 13.56/2.31 % (24146)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 13.56/2.31 % (24146)Termination reason: Time limit 13.56/2.31 % (24146)Termination phase: Saturation 13.56/2.31 13.56/2.31 % (24146)Memory used [KB]: 3746 13.56/2.31 % (24146)Time elapsed: 0.215 s 13.56/2.31 % (24146)Instructions burned: 330 (million) 13.56/2.32 % (24140)Instruction limit reached! 13.56/2.32 % (24140)------------------------------ 13.56/2.32 % (24140)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 13.56/2.32 % (24140)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 13.56/2.32 % (24140)Termination reason: Time limit 13.56/2.32 % (24140)Termination phase: Saturation 13.56/2.32 13.56/2.32 % (24140)Memory used [KB]: 7931 13.56/2.32 % (24140)Time elapsed: 0.576 s 13.56/2.32 % (24140)Instructions burned: 1006 (million) 13.56/2.38 % (24077)Running in auto input_syntax mode. Trying TPTP 13.56/2.38 % (24147)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (1780ds/113Mi) 14.04/2.39 % (24077)Running in auto input_syntax mode. Trying TPTP 14.04/2.39 % (24148)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (1780ds/3217Mi) 14.18/2.45 % (24147)Instruction limit reached! 14.18/2.45 % (24147)------------------------------ 14.18/2.45 % (24147)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 14.18/2.45 % (24147)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 14.18/2.45 % (24147)Termination reason: Time limit 14.18/2.45 % (24147)Termination phase: Saturation 14.18/2.45 14.18/2.45 % (24147)Memory used [KB]: 1453 14.18/2.45 % (24147)Time elapsed: 0.069 s 14.18/2.45 % (24147)Instructions burned: 113 (million) 14.79/2.52 % (24077)Running in auto input_syntax mode. Trying TPTP 14.79/2.52 % (24149)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 (1779ds/3528Mi) 14.79/2.59 % (24143)Instruction limit reached! 14.79/2.59 % (24143)------------------------------ 14.79/2.59 % (24143)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 14.79/2.59 % (24143)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 14.79/2.59 % (24143)Termination reason: Time limit 14.79/2.59 % (24143)Termination phase: Saturation 14.79/2.59 14.79/2.59 % (24143)Memory used [KB]: 5026 14.79/2.59 % (24143)Time elapsed: 0.719 s 14.79/2.59 % (24143)Instructions burned: 1706 (million) 15.23/2.66 % (24077)Running in auto input_syntax mode. Trying TPTP 15.23/2.66 % (24150)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 (1777ds/2304Mi) 16.10/2.84 % (24145)Instruction limit reached! 16.10/2.84 % (24145)------------------------------ 16.10/2.84 % (24145)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 16.10/2.84 % (24145)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 16.10/2.84 % (24145)Termination reason: Time limit 16.10/2.84 % (24145)Termination phase: Saturation 16.10/2.84 16.10/2.84 % (24145)Memory used [KB]: 6416 16.10/2.84 % (24145)Time elapsed: 0.929 s 16.10/2.84 % (24145)Instructions burned: 1683 (million) 17.88/2.91 % (24077)Running in auto input_syntax mode. Trying TPTP 17.88/2.91 % (24151)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 (1775ds/3780Mi) 20.62/3.31 % (24144)Instruction limit reached! 20.62/3.31 % (24144)------------------------------ 20.62/3.31 % (24144)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 20.62/3.31 % (24144)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 20.62/3.31 % (24144)Termination reason: Time limit 20.62/3.31 % (24144)Termination phase: Saturation 20.62/3.31 20.62/3.31 % (24144)Memory used [KB]: 10021 20.62/3.31 % (24144)Time elapsed: 1.431 s 20.62/3.31 % (24144)Instructions burned: 2416 (million) 20.62/3.38 % (24077)Running in auto input_syntax mode. Trying TPTP 20.62/3.38 % (24152)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (1770ds/238Mi) 21.23/3.43 % (24150)First to succeed. 21.23/3.45 % (24150)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24077" 21.23/3.46 % (24077)Running in auto input_syntax mode. Trying TPTP 21.23/3.46 % (24150)Refutation found. Thanks to Tanya! 21.23/3.46 % SZS status Theorem for theBenchmark 21.23/3.46 % SZS output start Proof for theBenchmark 21.23/3.46 tff(type_def_5, type, uni: $tType). 21.23/3.46 tff(type_def_6, type, ty: $tType). 21.23/3.46 tff(type_def_7, type, bool1: $tType). 21.23/3.46 tff(type_def_8, type, tuple02: $tType). 21.23/3.46 tff(type_def_9, type, vertex1: $tType). 21.23/3.46 tff(type_def_10, type, set_vertex: $tType). 21.23/3.46 tff(type_def_11, type, map_vertex_int: $tType). 21.23/3.46 tff(func_def_0, type, witness1: ty > uni). 21.23/3.46 tff(func_def_1, type, int: ty). 21.23/3.46 tff(func_def_2, type, real: ty). 21.23/3.46 tff(func_def_3, type, bool: ty). 21.23/3.46 tff(func_def_4, type, true1: bool1). 21.23/3.46 tff(func_def_5, type, false1: bool1). 21.23/3.46 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 21.23/3.46 tff(func_def_7, type, tuple0: ty). 21.23/3.46 tff(func_def_8, type, tuple03: tuple02). 21.23/3.46 tff(func_def_9, type, qtmark: ty). 21.23/3.46 tff(func_def_10, type, ref: ty > ty). 21.23/3.46 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 21.23/3.46 tff(func_def_12, type, contents: (ty * uni) > uni). 21.23/3.46 tff(func_def_13, type, set: ty > ty). 21.23/3.46 tff(func_def_14, type, empty: ty > uni). 21.23/3.46 tff(func_def_15, type, add: (ty * uni * uni) > uni). 21.23/3.46 tff(func_def_16, type, remove: (ty * uni * uni) > uni). 21.23/3.46 tff(func_def_17, type, union: (ty * uni * uni) > uni). 21.23/3.46 tff(func_def_18, type, inter: (ty * uni * uni) > uni). 21.23/3.46 tff(func_def_19, type, diff: (ty * uni * uni) > uni). 21.23/3.46 tff(func_def_20, type, choose: (ty * uni) > uni). 21.23/3.46 tff(func_def_21, type, cardinal1: (ty * uni) > $int). 21.23/3.46 tff(func_def_22, type, map: (ty * ty) > ty). 21.23/3.46 tff(func_def_23, type, get: (ty * ty * uni * uni) > uni). 21.23/3.46 tff(func_def_24, type, set1: (ty * ty * uni * uni * uni) > uni). 21.23/3.46 tff(func_def_25, type, const: (ty * ty * uni) > uni). 21.23/3.46 tff(func_def_26, type, vertex: ty). 21.23/3.46 tff(func_def_27, type, v1: set_vertex). 21.23/3.46 tff(func_def_28, type, g_succ1: vertex1 > set_vertex). 21.23/3.46 tff(func_def_29, type, t2tb: set_vertex > uni). 21.23/3.46 tff(func_def_30, type, tb2t: uni > set_vertex). 21.23/3.46 tff(func_def_31, type, weight1: (vertex1 * vertex1) > $int). 21.23/3.46 tff(func_def_32, type, t2tb1: map_vertex_int > uni). 21.23/3.46 tff(func_def_33, type, tb2t1: uni > map_vertex_int). 21.23/3.46 tff(func_def_34, type, t2tb2: vertex1 > uni). 21.23/3.46 tff(func_def_35, type, tb2t2: uni > vertex1). 21.23/3.46 tff(func_def_36, type, t2tb3: $int > uni). 21.23/3.46 tff(func_def_37, type, tb2t3: uni > $int). 21.23/3.46 tff(func_def_44, type, sK0: ($int * vertex1 * vertex1) > vertex1). 21.23/3.46 tff(func_def_45, type, sK1: ($int * vertex1 * vertex1) > $int). 21.23/3.46 tff(func_def_46, type, sK2: (uni * uni * ty) > uni). 21.23/3.46 tff(func_def_47, type, sK3: ($int * vertex1 * vertex1) > $int). 21.23/3.46 tff(func_def_48, type, sK4: ($int * vertex1 * vertex1) > vertex1). 21.23/3.46 tff(func_def_49, type, sK5: ($int * vertex1 * vertex1) > vertex1). 21.23/3.46 tff(func_def_50, type, sK6: ($int * vertex1 * vertex1) > vertex1). 21.23/3.46 tff(func_def_51, type, sK7: ($int * vertex1 * vertex1) > vertex1). 21.23/3.46 tff(func_def_52, type, sK8: (ty * uni * uni) > uni). 21.23/3.46 tff(func_def_53, type, sK9: (vertex1 * $int * vertex1) > $int). 21.23/3.46 tff(func_def_54, type, sK10: (vertex1 * vertex1 * $int) > vertex1). 21.23/3.46 tff(func_def_55, type, sK11: vertex1). 21.23/3.46 tff(func_def_56, type, sK12: vertex1). 21.23/3.46 tff(func_def_57, type, sK13: map_vertex_int). 21.23/3.46 tff(func_def_58, type, sK14: set_vertex). 21.23/3.46 tff(func_def_59, type, sK15: map_vertex_int). 21.23/3.46 tff(func_def_60, type, sK16: set_vertex). 21.23/3.46 tff(func_def_61, type, sK17: map_vertex_int). 21.23/3.46 tff(func_def_62, type, sK18: set_vertex). 21.23/3.46 tff(func_def_63, type, sK19: set_vertex). 21.23/3.46 tff(func_def_64, type, sK20: bool1). 21.23/3.46 tff(func_def_65, type, sK21: set_vertex). 21.23/3.46 tff(func_def_66, type, sK22: vertex1). 21.23/3.46 tff(func_def_67, type, sK23: vertex1). 21.23/3.46 tff(func_def_68, type, sK24: vertex1 > vertex1). 21.23/3.46 tff(func_def_69, type, sK25: vertex1). 21.23/3.46 tff(func_def_70, type, sK26: set_vertex). 21.23/3.46 tff(func_def_71, type, sK27: set_vertex). 21.23/3.46 tff(func_def_72, type, sK28: set_vertex). 21.23/3.46 tff(func_def_73, type, sK29: map_vertex_int). 21.23/3.46 tff(func_def_74, type, sK30: bool1). 21.23/3.46 tff(func_def_75, type, sK31: vertex1). 21.23/3.46 tff(func_def_76, type, sK32: set_vertex). 21.23/3.46 tff(func_def_77, type, sK33: vertex1). 21.23/3.46 tff(func_def_78, type, sK34: vertex1). 21.23/3.46 tff(func_def_79, type, sK35: set_vertex). 21.23/3.46 tff(func_def_80, type, sK36: map_vertex_int). 21.23/3.46 tff(func_def_81, type, sK37: vertex1). 21.23/3.46 tff(func_def_82, type, sK40: vertex1). 21.23/3.46 tff(func_def_83, type, sK41: (ty * uni) > uni). 21.23/3.46 tff(func_def_84, type, sK42: set_vertex > vertex1). 21.23/3.46 tff(func_def_85, type, sK43: set_vertex > vertex1). 21.23/3.46 tff(pred_def_1, type, sort1: (ty * uni) > $o). 21.23/3.46 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 21.23/3.46 tff(pred_def_3, type, infix_eqeq: (ty * uni * uni) > $o). 21.23/3.46 tff(pred_def_4, type, subset: (ty * uni * uni) > $o). 21.23/3.46 tff(pred_def_5, type, is_empty: (ty * uni) > $o). 21.23/3.46 tff(pred_def_6, type, min1: (vertex1 * set_vertex * map_vertex_int) > $o). 21.23/3.46 tff(pred_def_7, type, path1: (vertex1 * vertex1 * $int) > $o). 21.23/3.46 tff(pred_def_8, type, shortest_path1: (vertex1 * vertex1 * $int) > $o). 21.23/3.46 tff(pred_def_9, type, inv_src1: (vertex1 * set_vertex * set_vertex) > $o). 21.23/3.46 tff(pred_def_10, type, inv1: (vertex1 * set_vertex * set_vertex * map_vertex_int) > $o). 21.23/3.46 tff(pred_def_11, type, inv_succ1: (vertex1 * set_vertex * set_vertex * map_vertex_int) > $o). 21.23/3.46 tff(pred_def_12, type, inv_succ21: (vertex1 * set_vertex * set_vertex * map_vertex_int * vertex1 * set_vertex) > $o). 21.23/3.46 tff(pred_def_15, type, sP38: (set_vertex * map_vertex_int * vertex1 * set_vertex * map_vertex_int * vertex1) > $o). 21.23/3.46 tff(pred_def_16, type, sP39: (set_vertex * map_vertex_int * vertex1 * set_vertex * map_vertex_int * set_vertex * vertex1) > $o). 21.23/3.46 tff(f3127,plain,( 21.23/3.46 $false), 21.23/3.46 inference(avatar_smt_refutation,[],[f413,f426,f433,f437,f441,f445,f449,f453,f457,f461,f465,f469,f473,f477,f481,f488,f492,f499,f503,f507,f511,f513,f520,f524,f525,f529,f533,f540,f544,f548,f552,f554,f561,f566,f571,f575,f576,f580,f583,f585,f586,f590,f592,f596,f599,f603,f605,f611,f615,f619,f624,f629,f638,f642,f650,f654,f659,f664,f672,f674,f676,f682,f696,f708,f716,f722,f737,f754,f758,f765,f769,f773,f777,f781,f785,f792,f805,f810,f825,f828,f833,f838,f842,f846,f853,f859,f899,f905,f921,f929,f963,f971,f1000,f1023,f1031,f1033,f1050,f1054,f1064,f1068,f1075,f1080,f1086,f1093,f1161,f1169,f1175,f1185,f1195,f1204,f1222,f1230,f1236,f1270,f1278,f1284,f1293,f1301,f1308,f1330,f1347,f1355,f1360,f1364,f1366,f1369,f1378,f1392,f1400,f1409,f1415,f1425,f1454,f1460,f1495,f1503,f1509,f1663,f1684,f1689,f1694,f1701,f1709,f1743,f1763,f1767,f1771,f1775,f1779,f1783,f1791,f1795,f1801,f1802,f1854,f1858,f1866,f1870,f1875,f1880,f1885,f1897,f1924,f1934,f1942,f1946,f1955,f1968,f1972,f1982,f1990,f1994,f1999,f2008,f2013,f2027,f2035,f2039,f2048,f2057,f2072,f2077,f2089,f2093,f2108,f2199,f2215,f2220,f2226,f2231,f2237,f2242,f2246,f2250,f2255,f2257,f2264,f2268,f2272,f2276,f2277,f2283,f2286,f2292,f2299,f2304,f2313,f2323,f2327,f2331,f2352,f2357,f2361,f2363,f2369,f2373,f2382,f2386,f2389,f2397,f2402,f2415,f2416,f2420,f2442,f2447,f2452,f2454,f2463,f2502,f2506,f2511,f2518,f2528,f2532,f2561,f2569,f2573,f2581,f2590,f2592,f2600,f2620,f2640,f2644,f2649,f2655,f2671,f2673,f2692,f2699,f2714,f2719,f2723,f2728,f2746,f2750,f2754,f2761,f2765,f2769,f2776,f2784,f2788,f2794,f2806,f2810,f2815,f2820,f2838,f2842,f2852,f2854,f2858,f2880,f2884,f2892,f2896,f2901,f2905,f2907,f2909,f2945,f2949,f2953,f2957,f2961,f2965,f2969,f2973,f2977,f2981,f2985,f2989,f2994,f3004,f3008,f3010,f3014,f3048,f3052,f3057,f3085,f3090,f3097,f3101,f3108,f3118,f3126])). 21.23/3.46 tff(f3126,plain,( 21.23/3.46 spl44_47 | ~spl44_311), 21.23/3.46 inference(avatar_contradiction_clause,[],[f3125])). 21.23/3.46 tff(f3125,plain,( 21.23/3.46 $false | (spl44_47 | ~spl44_311)), 21.23/3.46 inference(subsumption_resolution,[],[f3122,f610])). 21.23/3.46 tff(f610,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK31),t2tb(sK27)) | spl44_47), 21.23/3.46 inference(avatar_component_clause,[],[f609])). 21.23/3.46 tff(f609,plain,( 21.23/3.46 spl44_47 <=> mem(vertex,t2tb2(sK31),t2tb(sK27))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_47])])). 21.23/3.46 tff(f3122,plain,( 21.23/3.46 mem(vertex,t2tb2(sK31),t2tb(sK27)) | ~spl44_311), 21.23/3.46 inference(resolution,[],[f3047,f336])). 21.23/3.46 tff(f336,plain,( 21.23/3.46 ( ! [X41 : map_vertex_int,X39 : vertex1,X29 : set_vertex,X27 : map_vertex_int,X22 : vertex1,X42 : set_vertex] : (~sP38(X42,X41,X39,X29,X27,X22) | mem(vertex,t2tb2(X39),t2tb(X42))) )), 21.23/3.46 inference(cnf_transformation,[],[f170])). 21.23/3.46 tff(f170,plain,( 21.23/3.46 ? [X2 : vertex1,X0 : vertex1,X1 : map_vertex_int] : (mem(vertex,t2tb2(X2),t2tb(v1)) & mem(vertex,t2tb2(X0),t2tb(v1)) & ? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5)) & ? [X7 : map_vertex_int,X9 : set_vertex,X8 : set_vertex] : (inv_src1(X0,X8,X9) & ! [X14 : vertex1] : (? [X15 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X14)))) & mem(vertex,t2tb2(X15),t2tb(X9))) | ~mem(vertex,t2tb2(X14),t2tb(X9)) | ! [X17 : vertex1,X16 : $int] : (~path1(X0,X17,X16) | mem(vertex,t2tb2(X17),t2tb(X8)) | ~$less(X16,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X14)))))) & ! [X12 : vertex1] : (! [X13 : vertex1] : (~mem(vertex,t2tb2(X13),t2tb(g_succ1(X12))) | ((mem(vertex,t2tb2(X13),t2tb(X9)) | mem(vertex,t2tb2(X13),t2tb(X8))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X12))),weight1(X12,X13)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X13)))))) | ~mem(vertex,t2tb2(X12),t2tb(X8))) & ? [X19 : bool1] : (? [X21 : vertex1] : mem(vertex,t2tb2(X21),t2tb(X9)) & true1 != X19 & ? [X23 : set_vertex,X22 : vertex1] : (? [X26 : set_vertex] : (? [X29 : set_vertex,X28 : set_vertex,X27 : map_vertex_int] : (0 = tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X0))) & ! [X33 : vertex1] : (! [X34 : vertex1] : (((mem(vertex,t2tb2(X34),t2tb(X29)) | mem(vertex,t2tb2(X34),t2tb(X26))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X33))),weight1(X33,X34)),tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X34))))) | (X22 = X33 & (mem(vertex,t2tb2(X34),t2tb(X28)) | X22 != X33)) | ~mem(vertex,t2tb2(X34),t2tb(g_succ1(X33)))) | ~mem(vertex,t2tb2(X33),t2tb(X26))) & subset(vertex,t2tb(X29),t2tb(v1)) & ! [X32 : vertex1] : (~mem(vertex,t2tb2(X32),t2tb(X29)) | ~mem(vertex,t2tb2(X32),t2tb(X26)) | $false) & ! [X35 : vertex1] : (shortest_path1(X0,X35,tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X35)))) | ~mem(vertex,t2tb2(X35),t2tb(X26))) & ! [X30 : vertex1] : (path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X30)))) | ~mem(vertex,t2tb2(X30),t2tb(X29))) & inv_src1(X0,X26,X29) & ? [X36 : bool1] : (true1 = X36 & (? [X37 : vertex1] : mem(vertex,t2tb2(X37),t2tb(X28)) <=> true1 = X36) & ? [X38 : vertex1] : mem(vertex,t2tb2(X38),t2tb(X28)) & ? [X39 : vertex1,X40 : set_vertex] : (? [X42 : set_vertex,X41 : map_vertex_int] : (? [X43 : vertex1] : (mem(vertex,t2tb2(X43),t2tb(X26)) & ? [X44 : vertex1] : ((X22 != X43 | (X22 = X43 & ~mem(vertex,t2tb2(X44),t2tb(X40)))) & mem(vertex,t2tb2(X44),t2tb(g_succ1(X43))) & ~mem(vertex,t2tb2(X44),t2tb(X42)) & ~mem(vertex,t2tb2(X44),t2tb(X26)))) & ((~mem(vertex,t2tb2(X39),t2tb(X26)) & tb2t1(set1(int,vertex,t2tb1(X27),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X22))),weight1(X22,X39))))) = X41 & ~mem(vertex,t2tb2(X39),t2tb(X29)) & tb2t(add(vertex,t2tb2(X39),t2tb(X29))) = X42) | (~$less($sum(tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X22))),weight1(X22,X39)),tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X39)))) & mem(vertex,t2tb2(X39),t2tb(X42)) & X29 = X42 & X27 = X41) | (X27 = X41 & mem(vertex,t2tb2(X39),t2tb(X26)) & X29 = X42) | ($less($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X22))),weight1(X22,X39)),tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X39)))) & mem(vertex,t2tb2(X39),t2tb(X42)) & X29 = X42 & tb2t1(set1(int,vertex,t2tb1(X27),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X22))),weight1(X22,X39))))) = X41)) & ($less(tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X39))),$sum(tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X22))),weight1(X22,X39))) | $sum(tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X22))),weight1(X22,X39)) = tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X39))))) & tb2t(remove(vertex,t2tb2(X39),t2tb(X28))) = X40 & mem(vertex,t2tb2(X39),t2tb(X28)))) & subset(vertex,t2tb(X26),t2tb(v1)) & ! [X31 : vertex1] : (~mem(vertex,t2tb2(X31),t2tb(X28)) | mem(vertex,t2tb2(X31),t2tb(g_succ1(X22))))) & tb2t(add(vertex,t2tb2(X22),t2tb(X8))) = X26) & ! [X25 : $int] : (~$less(X25,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X22)))) | ~path1(X0,X22,X25)) & tb2t(remove(vertex,t2tb2(X22),t2tb(X9))) = X23 & path1(X0,X22,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X22)))) & ! [X24 : vertex1] : (~mem(vertex,t2tb2(X24),t2tb(X9)) | ~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X22))))) & mem(vertex,t2tb2(X22),t2tb(X9))) & (! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X9)) <=> true1 = X19)) & ! [X10 : vertex1] : (path1(X0,X10,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X10)))) | ~mem(vertex,t2tb2(X10),t2tb(X9))) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X0))) & subset(vertex,t2tb(X8),t2tb(v1)) & subset(vertex,t2tb(X9),t2tb(v1)) & ! [X18 : vertex1] : (~mem(vertex,t2tb2(X18),t2tb(X8)) | shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X18))))) & ! [X11 : vertex1] : (~mem(vertex,t2tb2(X11),t2tb(X8)) | $false | ~mem(vertex,t2tb2(X11),t2tb(X9)))) & tb2t1(set1(int,vertex,t2tb1(X1),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3))), 21.23/3.46 inference(flattening,[],[f169])). 21.23/3.46 tff(f169,plain,( 21.23/3.46 ? [X2 : vertex1,X1 : map_vertex_int,X0 : vertex1] : (? [X4 : map_vertex_int,X5 : set_vertex,X3 : set_vertex] : (? [X9 : set_vertex,X7 : map_vertex_int,X8 : set_vertex] : (? [X19 : bool1] : (((? [X22 : vertex1,X23 : set_vertex] : ((? [X26 : set_vertex] : (? [X27 : map_vertex_int,X29 : set_vertex,X28 : set_vertex] : (? [X36 : bool1] : (((? [X40 : set_vertex,X39 : vertex1] : (? [X42 : set_vertex,X41 : map_vertex_int] : ((? [X43 : vertex1] : (? [X44 : vertex1] : (((~mem(vertex,t2tb2(X44),t2tb(X26)) & ~mem(vertex,t2tb2(X44),t2tb(X42))) & (X22 != X43 | (X22 = X43 & ~mem(vertex,t2tb2(X44),t2tb(X40))))) & mem(vertex,t2tb2(X44),t2tb(g_succ1(X43)))) & mem(vertex,t2tb2(X43),t2tb(X26))) & ($less(tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X39))),$sum(tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X22))),weight1(X22,X39))) | $sum(tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X22))),weight1(X22,X39)) = tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X39))))) & ((~mem(vertex,t2tb2(X39),t2tb(X26)) & tb2t1(set1(int,vertex,t2tb1(X27),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X22))),weight1(X22,X39))))) = X41 & ~mem(vertex,t2tb2(X39),t2tb(X29)) & tb2t(add(vertex,t2tb2(X39),t2tb(X29))) = X42) | (~$less($sum(tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X22))),weight1(X22,X39)),tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X39)))) & mem(vertex,t2tb2(X39),t2tb(X42)) & X29 = X42 & X27 = X41) | (X27 = X41 & mem(vertex,t2tb2(X39),t2tb(X26)) & X29 = X42) | ($less($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X22))),weight1(X22,X39)),tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X39)))) & mem(vertex,t2tb2(X39),t2tb(X42)) & X29 = X42 & tb2t1(set1(int,vertex,t2tb1(X27),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X22))),weight1(X22,X39))))) = X41))) & (mem(vertex,t2tb2(X39),t2tb(X28)) & tb2t(remove(vertex,t2tb2(X39),t2tb(X28))) = X40)) & ? [X38 : vertex1] : mem(vertex,t2tb2(X38),t2tb(X28))) & true1 = X36) & (? [X37 : vertex1] : mem(vertex,t2tb2(X37),t2tb(X28)) <=> true1 = X36)) & (0 = tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X0))) & ! [X35 : vertex1] : (shortest_path1(X0,X35,tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X35)))) | ~mem(vertex,t2tb2(X35),t2tb(X26))) & ! [X33 : vertex1] : (! [X34 : vertex1] : ((((mem(vertex,t2tb2(X34),t2tb(X29)) | mem(vertex,t2tb2(X34),t2tb(X26))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X33))),weight1(X33,X34)),tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X34))))) | (X22 = X33 & (mem(vertex,t2tb2(X34),t2tb(X28)) | X22 != X33))) | ~mem(vertex,t2tb2(X34),t2tb(g_succ1(X33)))) | ~mem(vertex,t2tb2(X33),t2tb(X26))) & subset(vertex,t2tb(X26),t2tb(v1)) & ! [X32 : vertex1] : (($false | ~mem(vertex,t2tb2(X32),t2tb(X26))) | ~mem(vertex,t2tb2(X32),t2tb(X29))) & inv_src1(X0,X26,X29) & subset(vertex,t2tb(X29),t2tb(v1)) & ! [X30 : vertex1] : (path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X30)))) | ~mem(vertex,t2tb2(X30),t2tb(X29))) & ! [X31 : vertex1] : (~mem(vertex,t2tb2(X31),t2tb(X28)) | mem(vertex,t2tb2(X31),t2tb(g_succ1(X22)))))) & tb2t(add(vertex,t2tb2(X22),t2tb(X8))) = X26) & (path1(X0,X22,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X22)))) & ! [X25 : $int] : (~$less(X25,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X22)))) | ~path1(X0,X22,X25)))) & (tb2t(remove(vertex,t2tb2(X22),t2tb(X9))) = X23 & ! [X24 : vertex1] : (~mem(vertex,t2tb2(X24),t2tb(X9)) | ~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X22))))) & mem(vertex,t2tb2(X22),t2tb(X9)))) & ? [X21 : vertex1] : mem(vertex,t2tb2(X21),t2tb(X9))) & true1 != X19) & (! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X9)) <=> true1 = X19)) & (subset(vertex,t2tb(X8),t2tb(v1)) & inv_src1(X0,X8,X9) & ! [X11 : vertex1] : (($false | ~mem(vertex,t2tb2(X11),t2tb(X8))) | ~mem(vertex,t2tb2(X11),t2tb(X9))) & subset(vertex,t2tb(X9),t2tb(v1)) & ! [X12 : vertex1] : (! [X13 : vertex1] : (~mem(vertex,t2tb2(X13),t2tb(g_succ1(X12))) | ((mem(vertex,t2tb2(X13),t2tb(X9)) | mem(vertex,t2tb2(X13),t2tb(X8))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X12))),weight1(X12,X13)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X13)))))) | ~mem(vertex,t2tb2(X12),t2tb(X8))) & ! [X10 : vertex1] : (path1(X0,X10,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X10)))) | ~mem(vertex,t2tb2(X10),t2tb(X9))) & ! [X18 : vertex1] : (~mem(vertex,t2tb2(X18),t2tb(X8)) | shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X18))))) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X0))) & ! [X14 : vertex1] : (! [X16 : $int,X17 : vertex1] : ((mem(vertex,t2tb2(X17),t2tb(X8)) | ~$less(X16,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X14))))) | ~path1(X0,X17,X16)) | (? [X15 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X14)))) & mem(vertex,t2tb2(X15),t2tb(X9))) | ~mem(vertex,t2tb2(X14),t2tb(X9)))))) & (! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(X1),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3)) & (mem(vertex,t2tb2(X0),t2tb(v1)) & mem(vertex,t2tb2(X2),t2tb(v1))))), 21.23/3.46 inference(ennf_transformation,[],[f93])). 21.23/3.46 tff(f93,plain,( 21.23/3.46 ~! [X2 : vertex1,X1 : map_vertex_int,X0 : vertex1] : ((mem(vertex,t2tb2(X0),t2tb(v1)) & mem(vertex,t2tb2(X2),t2tb(v1))) => ! [X4 : map_vertex_int,X5 : set_vertex,X3 : set_vertex] : ((! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(X1),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3) => ! [X9 : set_vertex,X7 : map_vertex_int,X8 : set_vertex] : ((subset(vertex,t2tb(X8),t2tb(v1)) & inv_src1(X0,X8,X9) & ! [X11 : vertex1] : (mem(vertex,t2tb2(X11),t2tb(X9)) => (mem(vertex,t2tb2(X11),t2tb(X8)) => $false)) & subset(vertex,t2tb(X9),t2tb(v1)) & ! [X12 : vertex1] : (mem(vertex,t2tb2(X12),t2tb(X8)) => ! [X13 : vertex1] : (mem(vertex,t2tb2(X13),t2tb(g_succ1(X12))) => ((mem(vertex,t2tb2(X13),t2tb(X9)) | mem(vertex,t2tb2(X13),t2tb(X8))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X12))),weight1(X12,X13)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X13))))))) & ! [X10 : vertex1] : (mem(vertex,t2tb2(X10),t2tb(X9)) => path1(X0,X10,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X10))))) & ! [X18 : vertex1] : (mem(vertex,t2tb2(X18),t2tb(X8)) => shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X18))))) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X0))) & ! [X14 : vertex1] : ((! [X15 : vertex1] : (mem(vertex,t2tb2(X15),t2tb(X9)) => ~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X14))))) & mem(vertex,t2tb2(X14),t2tb(X9))) => ! [X16 : $int,X17 : vertex1] : (path1(X0,X17,X16) => ($less(X16,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X14)))) => mem(vertex,t2tb2(X17),t2tb(X8)))))) => ! [X19 : bool1] : ((! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X9)) <=> true1 = X19) => (true1 != X19 => (~! [X21 : vertex1] : ~mem(vertex,t2tb2(X21),t2tb(X9)) => ! [X22 : vertex1,X23 : set_vertex] : ((tb2t(remove(vertex,t2tb2(X22),t2tb(X9))) = X23 & ! [X24 : vertex1] : (mem(vertex,t2tb2(X24),t2tb(X9)) => ~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X22))))) & mem(vertex,t2tb2(X22),t2tb(X9))) => ((path1(X0,X22,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X22)))) & ! [X25 : $int] : (path1(X0,X22,X25) => ~$less(X25,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X22)))))) => ! [X26 : set_vertex] : (tb2t(add(vertex,t2tb2(X22),t2tb(X8))) = X26 => ! [X27 : map_vertex_int,X29 : set_vertex,X28 : set_vertex] : ((0 = tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X0))) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(X26)) => shortest_path1(X0,X35,tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X35))))) & ! [X33 : vertex1] : (mem(vertex,t2tb2(X33),t2tb(X26)) => ! [X34 : vertex1] : (mem(vertex,t2tb2(X34),t2tb(g_succ1(X33))) => (((~mem(vertex,t2tb2(X34),t2tb(X28)) & X22 = X33) | X22 != X33) => ((mem(vertex,t2tb2(X34),t2tb(X29)) | mem(vertex,t2tb2(X34),t2tb(X26))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X33))),weight1(X33,X34)),tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X34)))))))) & subset(vertex,t2tb(X26),t2tb(v1)) & ! [X32 : vertex1] : (mem(vertex,t2tb2(X32),t2tb(X29)) => (mem(vertex,t2tb2(X32),t2tb(X26)) => $false)) & inv_src1(X0,X26,X29) & subset(vertex,t2tb(X29),t2tb(v1)) & ! [X30 : vertex1] : (mem(vertex,t2tb2(X30),t2tb(X29)) => path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X30))))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(X28)) => mem(vertex,t2tb2(X31),t2tb(g_succ1(X22))))) => ! [X36 : bool1] : ((~! [X37 : vertex1] : ~mem(vertex,t2tb2(X37),t2tb(X28)) <=> true1 = X36) => (true1 = X36 => (~! [X38 : vertex1] : ~mem(vertex,t2tb2(X38),t2tb(X28)) => ! [X40 : set_vertex,X39 : vertex1] : ((mem(vertex,t2tb2(X39),t2tb(X28)) & tb2t(remove(vertex,t2tb2(X39),t2tb(X28))) = X40) => ! [X42 : set_vertex,X41 : map_vertex_int] : (((~mem(vertex,t2tb2(X39),t2tb(X26)) & tb2t1(set1(int,vertex,t2tb1(X27),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X22))),weight1(X22,X39))))) = X41 & ~mem(vertex,t2tb2(X39),t2tb(X29)) & tb2t(add(vertex,t2tb2(X39),t2tb(X29))) = X42) | (~$less($sum(tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X22))),weight1(X22,X39)),tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X39)))) & mem(vertex,t2tb2(X39),t2tb(X42)) & X29 = X42 & X27 = X41) | (X27 = X41 & mem(vertex,t2tb2(X39),t2tb(X26)) & X29 = X42) | ($less($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X22))),weight1(X22,X39)),tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X39)))) & mem(vertex,t2tb2(X39),t2tb(X42)) & X29 = X42 & tb2t1(set1(int,vertex,t2tb1(X27),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X22))),weight1(X22,X39))))) = X41)) => (($less(tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X39))),$sum(tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X22))),weight1(X22,X39))) | $sum(tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X22))),weight1(X22,X39)) = tb2t3(get(int,vertex,t2tb1(X41),t2tb2(X39)))) => ! [X43 : vertex1] : (mem(vertex,t2tb2(X43),t2tb(X26)) => ! [X44 : vertex1] : (mem(vertex,t2tb2(X44),t2tb(g_succ1(X43))) => ((X22 != X43 | (X22 = X43 & ~mem(vertex,t2tb2(X44),t2tb(X40)))) => (mem(vertex,t2tb2(X44),t2tb(X26)) | mem(vertex,t2tb2(X44),t2tb(X42))))))))))))))))))))))), 21.23/3.46 inference(rectify,[],[f81])). 21.23/3.46 tff(f81,plain,( 21.23/3.46 ~! [X21 : vertex1,X11 : map_vertex_int,X28 : vertex1] : ((mem(vertex,t2tb2(X21),t2tb(v1)) & mem(vertex,t2tb2(X28),t2tb(v1))) => ! [X10 : set_vertex,X29 : map_vertex_int,X30 : set_vertex] : ((tb2t(add(vertex,t2tb2(X21),empty(vertex))) = X10 & tb2t1(set1(int,vertex,t2tb1(X11),t2tb2(X21),t2tb3(0))) = X29 & ! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X30))) => ! [X32 : map_vertex_int,X33 : set_vertex,X31 : set_vertex] : ((0 = tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X21))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X31)) => path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X22))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X31)) => (mem(vertex,t2tb2(X22),t2tb(X33)) => $false)) & subset(vertex,t2tb(X33),t2tb(v1)) & inv_src1(X21,X33,X31) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X33)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))),weight1(X7,X14)),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X14)))) & (mem(vertex,t2tb2(X14),t2tb(X33)) | mem(vertex,t2tb2(X14),t2tb(X31)))))) & ! [X9 : vertex1] : ((! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X31)) => ~$less(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X9))))) & mem(vertex,t2tb2(X9),t2tb(X31))) => ! [X34 : $int,X7 : vertex1] : (path1(X21,X7,X34) => ($less(X34,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X9)))) => mem(vertex,t2tb2(X7),t2tb(X33))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X33)) => shortest_path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X22))))) & subset(vertex,t2tb(X31),t2tb(v1))) => ! [X35 : bool1] : ((true1 = X35 <=> ! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X31))) => (true1 != X35 => (~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X31)) => ! [X13 : vertex1,X36 : set_vertex] : ((mem(vertex,t2tb2(X13),t2tb(X31)) & tb2t(remove(vertex,t2tb2(X13),t2tb(X31))) = X36 & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X31)) => ~$less(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13)))))) => ((path1(X21,X13,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13)))) & ! [X20 : $int] : (path1(X21,X13,X20) => ~$less(X20,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13)))))) => ! [X37 : set_vertex] : (tb2t(add(vertex,t2tb2(X13),t2tb(X33))) = X37 => ! [X39 : map_vertex_int,X24 : set_vertex,X38 : set_vertex] : ((! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X38)) => path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X24)) => mem(vertex,t2tb2(X7),t2tb(g_succ1(X13)))) & inv_src1(X21,X37,X38) & 0 = tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X21))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X38)) => (mem(vertex,t2tb2(X22),t2tb(X37)) => $false)) & subset(vertex,t2tb(X37),t2tb(v1)) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => (((X7 = X13 & ~mem(vertex,t2tb2(X14),t2tb(X24))) | X7 != X13) => ((mem(vertex,t2tb2(X14),t2tb(X38)) | mem(vertex,t2tb2(X14),t2tb(X37))) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X7))),weight1(X7,X14)),tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X14)))))))) & subset(vertex,t2tb(X38),t2tb(v1)) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X37)) => shortest_path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22)))))) => ! [X40 : bool1] : ((true1 = X40 <=> ~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X24))) => (true1 = X40 => (~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X24)) => ! [X22 : vertex1,X41 : set_vertex] : ((tb2t(remove(vertex,t2tb2(X22),t2tb(X24))) = X41 & mem(vertex,t2tb2(X22),t2tb(X24))) => ! [X43 : map_vertex_int,X42 : set_vertex] : (((tb2t1(set1(int,vertex,t2tb1(X39),t2tb2(X22),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22))))) = X43 & mem(vertex,t2tb2(X22),t2tb(X42)) & $less($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22)),tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22)))) & X38 = X42) | (~$less($sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22)),tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22)))) & X38 = X42 & X39 = X43 & mem(vertex,t2tb2(X22),t2tb(X42))) | (tb2t(add(vertex,t2tb2(X22),t2tb(X38))) = X42 & ~mem(vertex,t2tb2(X22),t2tb(X37)) & tb2t1(set1(int,vertex,t2tb1(X39),t2tb2(X22),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22))))) = X43 & ~mem(vertex,t2tb2(X22),t2tb(X38))) | (mem(vertex,t2tb2(X22),t2tb(X37)) & X39 = X43 & X38 = X42)) => (($less(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))),$sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22))) | tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))) = $sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22))) => ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => ((X7 != X13 | (~mem(vertex,t2tb2(X14),t2tb(X41)) & X7 = X13)) => (mem(vertex,t2tb2(X14),t2tb(X37)) | mem(vertex,t2tb2(X14),t2tb(X42))))))))))))))))))))))), 21.23/3.46 inference(theory_normalization,[],[f64])). 21.23/3.46 tff(f64,negated_conjecture,( 21.23/3.46 ~! [X21 : vertex1,X11 : map_vertex_int,X28 : vertex1] : ((mem(vertex,t2tb2(X21),t2tb(v1)) & mem(vertex,t2tb2(X28),t2tb(v1))) => ! [X10 : set_vertex,X29 : map_vertex_int,X30 : set_vertex] : ((tb2t(add(vertex,t2tb2(X21),empty(vertex))) = X10 & tb2t1(set1(int,vertex,t2tb1(X11),t2tb2(X21),t2tb3(0))) = X29 & ! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X30))) => ! [X32 : map_vertex_int,X33 : set_vertex,X31 : set_vertex] : ((0 = tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X21))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X31)) => path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X22))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X31)) => (mem(vertex,t2tb2(X22),t2tb(X33)) => $false)) & subset(vertex,t2tb(X33),t2tb(v1)) & inv_src1(X21,X33,X31) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X33)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => ($lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X14))),$sum(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))),weight1(X7,X14))) & (mem(vertex,t2tb2(X14),t2tb(X33)) | mem(vertex,t2tb2(X14),t2tb(X31)))))) & ! [X9 : vertex1] : ((! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X31)) => $lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X9))),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))))) & mem(vertex,t2tb2(X9),t2tb(X31))) => ! [X34 : $int,X7 : vertex1] : (path1(X21,X7,X34) => ($less(X34,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X9)))) => mem(vertex,t2tb2(X7),t2tb(X33))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X33)) => shortest_path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X22))))) & subset(vertex,t2tb(X31),t2tb(v1))) => ! [X35 : bool1] : ((true1 = X35 <=> ! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X31))) => (true1 != X35 => (~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X31)) => ! [X13 : vertex1,X36 : set_vertex] : ((mem(vertex,t2tb2(X13),t2tb(X31)) & tb2t(remove(vertex,t2tb2(X13),t2tb(X31))) = X36 & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X31)) => $lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7)))))) => ((path1(X21,X13,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13)))) & ! [X20 : $int] : (path1(X21,X13,X20) => $lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))),X20))) => ! [X37 : set_vertex] : (tb2t(add(vertex,t2tb2(X13),t2tb(X33))) = X37 => ! [X39 : map_vertex_int,X24 : set_vertex,X38 : set_vertex] : ((! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X38)) => path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X24)) => mem(vertex,t2tb2(X7),t2tb(g_succ1(X13)))) & inv_src1(X21,X37,X38) & 0 = tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X21))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X38)) => (mem(vertex,t2tb2(X22),t2tb(X37)) => $false)) & subset(vertex,t2tb(X37),t2tb(v1)) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => (((X7 = X13 & ~mem(vertex,t2tb2(X14),t2tb(X24))) | X7 != X13) => ((mem(vertex,t2tb2(X14),t2tb(X38)) | mem(vertex,t2tb2(X14),t2tb(X37))) & $lesseq(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X14))),$sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X7))),weight1(X7,X14))))))) & subset(vertex,t2tb(X38),t2tb(v1)) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X37)) => shortest_path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22)))))) => ! [X40 : bool1] : ((true1 = X40 <=> ~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X24))) => (true1 = X40 => (~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X24)) => ! [X22 : vertex1,X41 : set_vertex] : ((tb2t(remove(vertex,t2tb2(X22),t2tb(X24))) = X41 & mem(vertex,t2tb2(X22),t2tb(X24))) => ! [X43 : map_vertex_int,X42 : set_vertex] : (((tb2t1(set1(int,vertex,t2tb1(X39),t2tb2(X22),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22))))) = X43 & mem(vertex,t2tb2(X22),t2tb(X42)) & $less($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22)),tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22)))) & X38 = X42) | ($lesseq(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))),$sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22))) & X38 = X42 & X39 = X43 & mem(vertex,t2tb2(X22),t2tb(X42))) | (tb2t(add(vertex,t2tb2(X22),t2tb(X38))) = X42 & ~mem(vertex,t2tb2(X22),t2tb(X37)) & tb2t1(set1(int,vertex,t2tb1(X39),t2tb2(X22),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22))))) = X43 & ~mem(vertex,t2tb2(X22),t2tb(X38))) | (mem(vertex,t2tb2(X22),t2tb(X37)) & X39 = X43 & X38 = X42)) => (($less(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))),$sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22))) | tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))) = $sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22))) => ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => ((X7 != X13 | (~mem(vertex,t2tb2(X14),t2tb(X41)) & X7 = X13)) => (mem(vertex,t2tb2(X14),t2tb(X37)) | mem(vertex,t2tb2(X14),t2tb(X42))))))))))))))))))))))), 21.23/3.46 inference(negated_conjecture,[],[f63])). 21.23/3.46 tff(f63,conjecture,( 21.23/3.46 ! [X21 : vertex1,X11 : map_vertex_int,X28 : vertex1] : ((mem(vertex,t2tb2(X21),t2tb(v1)) & mem(vertex,t2tb2(X28),t2tb(v1))) => ! [X10 : set_vertex,X29 : map_vertex_int,X30 : set_vertex] : ((tb2t(add(vertex,t2tb2(X21),empty(vertex))) = X10 & tb2t1(set1(int,vertex,t2tb1(X11),t2tb2(X21),t2tb3(0))) = X29 & ! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X30))) => ! [X32 : map_vertex_int,X33 : set_vertex,X31 : set_vertex] : ((0 = tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X21))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X31)) => path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X22))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X31)) => (mem(vertex,t2tb2(X22),t2tb(X33)) => $false)) & subset(vertex,t2tb(X33),t2tb(v1)) & inv_src1(X21,X33,X31) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X33)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => ($lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X14))),$sum(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))),weight1(X7,X14))) & (mem(vertex,t2tb2(X14),t2tb(X33)) | mem(vertex,t2tb2(X14),t2tb(X31)))))) & ! [X9 : vertex1] : ((! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X31)) => $lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X9))),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))))) & mem(vertex,t2tb2(X9),t2tb(X31))) => ! [X34 : $int,X7 : vertex1] : (path1(X21,X7,X34) => ($less(X34,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X9)))) => mem(vertex,t2tb2(X7),t2tb(X33))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X33)) => shortest_path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X22))))) & subset(vertex,t2tb(X31),t2tb(v1))) => ! [X35 : bool1] : ((true1 = X35 <=> ! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X31))) => (true1 != X35 => (~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X31)) => ! [X13 : vertex1,X36 : set_vertex] : ((mem(vertex,t2tb2(X13),t2tb(X31)) & tb2t(remove(vertex,t2tb2(X13),t2tb(X31))) = X36 & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X31)) => $lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7)))))) => ((path1(X21,X13,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13)))) & ! [X20 : $int] : (path1(X21,X13,X20) => $lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))),X20))) => ! [X37 : set_vertex] : (tb2t(add(vertex,t2tb2(X13),t2tb(X33))) = X37 => ! [X39 : map_vertex_int,X24 : set_vertex,X38 : set_vertex] : ((! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X38)) => path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X24)) => mem(vertex,t2tb2(X7),t2tb(g_succ1(X13)))) & inv_src1(X21,X37,X38) & 0 = tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X21))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X38)) => (mem(vertex,t2tb2(X22),t2tb(X37)) => $false)) & subset(vertex,t2tb(X37),t2tb(v1)) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => (((X7 = X13 & ~mem(vertex,t2tb2(X14),t2tb(X24))) | X7 != X13) => ((mem(vertex,t2tb2(X14),t2tb(X38)) | mem(vertex,t2tb2(X14),t2tb(X37))) & $lesseq(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X14))),$sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X7))),weight1(X7,X14))))))) & subset(vertex,t2tb(X38),t2tb(v1)) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X37)) => shortest_path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22)))))) => ! [X40 : bool1] : ((true1 = X40 <=> ~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X24))) => (true1 = X40 => (~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X24)) => ! [X22 : vertex1,X41 : set_vertex] : ((tb2t(remove(vertex,t2tb2(X22),t2tb(X24))) = X41 & mem(vertex,t2tb2(X22),t2tb(X24))) => ! [X43 : map_vertex_int,X42 : set_vertex] : (((tb2t1(set1(int,vertex,t2tb1(X39),t2tb2(X22),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22))))) = X43 & mem(vertex,t2tb2(X22),t2tb(X42)) & $less($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22)),tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22)))) & X38 = X42) | ($lesseq(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))),$sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22))) & X38 = X42 & X39 = X43 & mem(vertex,t2tb2(X22),t2tb(X42))) | (tb2t(add(vertex,t2tb2(X22),t2tb(X38))) = X42 & ~mem(vertex,t2tb2(X22),t2tb(X37)) & tb2t1(set1(int,vertex,t2tb1(X39),t2tb2(X22),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22))))) = X43 & ~mem(vertex,t2tb2(X22),t2tb(X38))) | (mem(vertex,t2tb2(X22),t2tb(X37)) & X39 = X43 & X38 = X42)) => (($less(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))),$sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22))) | tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))) = $sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22))) => ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => ((X7 != X13 | (~mem(vertex,t2tb2(X14),t2tb(X41)) & X7 = X13)) => (mem(vertex,t2tb2(X14),t2tb(X37)) | mem(vertex,t2tb2(X14),t2tb(X42))))))))))))))))))))))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f3047,plain,( 21.23/3.46 sP38(sK27,sK36,sK31,sK27,sK36,sK22) | ~spl44_311), 21.23/3.46 inference(avatar_component_clause,[],[f3046])). 21.23/3.46 tff(f3046,plain,( 21.23/3.46 spl44_311 <=> sP38(sK27,sK36,sK31,sK27,sK36,sK22)), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_311])])). 21.23/3.46 tff(f3118,plain,( 21.23/3.46 ~spl44_322 | spl44_313 | ~spl44_316), 21.23/3.46 inference(avatar_split_clause,[],[f3109,f3088,f3055,f3116])). 21.23/3.46 tff(f3116,plain,( 21.23/3.46 spl44_322 <=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31)),tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_322])])). 21.23/3.46 tff(f3055,plain,( 21.23/3.46 spl44_313 <=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK40)),tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_313])])). 21.23/3.46 tff(f3088,plain,( 21.23/3.46 spl44_316 <=> sK31 = sK40), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_316])])). 21.23/3.46 tff(f3109,plain,( 21.23/3.46 ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31)),tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31)))) | (spl44_313 | ~spl44_316)), 21.23/3.46 inference(backward_demodulation,[],[f3056,f3089])). 21.23/3.46 tff(f3089,plain,( 21.23/3.46 sK31 = sK40 | ~spl44_316), 21.23/3.46 inference(avatar_component_clause,[],[f3088])). 21.23/3.46 tff(f3056,plain,( 21.23/3.46 ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK40)),tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31)))) | spl44_313), 21.23/3.46 inference(avatar_component_clause,[],[f3055])). 21.23/3.46 tff(f3108,plain,( 21.23/3.46 spl44_320 | ~spl44_317 | spl44_321 | ~spl44_263), 21.23/3.46 inference(avatar_split_clause,[],[f3068,f2618,f3106,f3092,f3103])). 21.23/3.46 tff(f3103,plain,( 21.23/3.46 spl44_320 <=> $less(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK24(sK40)))),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK31))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_320])])). 21.23/3.46 tff(f3092,plain,( 21.23/3.46 spl44_317 <=> mem(vertex,t2tb2(sK31),t2tb(sK18))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_317])])). 21.23/3.46 tff(f3106,plain,( 21.23/3.46 spl44_321 <=> ! [X0 : $int,X1 : vertex1] : (mem(vertex,t2tb2(X1),t2tb(sK19)) | ~$less(X0,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK31)))) | ~path1(sK12,X1,X0))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_321])])). 21.23/3.46 tff(f2618,plain,( 21.23/3.46 spl44_263 <=> t2tb2(sK40) = t2tb2(sK31)), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_263])])). 21.23/3.46 tff(f3068,plain,( 21.23/3.46 ( ! [X0 : $int,X1 : vertex1] : (mem(vertex,t2tb2(X1),t2tb(sK19)) | ~path1(sK12,X1,X0) | ~mem(vertex,t2tb2(sK31),t2tb(sK18)) | $less(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK24(sK40)))),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK31)))) | ~$less(X0,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK31))))) ) | ~spl44_263), 21.23/3.46 inference(superposition,[],[f376,f2619])). 21.23/3.46 tff(f2619,plain,( 21.23/3.46 t2tb2(sK40) = t2tb2(sK31) | ~spl44_263), 21.23/3.46 inference(avatar_component_clause,[],[f2618])). 21.23/3.46 tff(f376,plain,( 21.23/3.46 ( ! [X16 : $int,X14 : vertex1,X17 : vertex1] : (~$less(X16,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X14)))) | $less(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK24(X14)))),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X14)))) | ~path1(sK12,X17,X16) | mem(vertex,t2tb2(X17),t2tb(sK19)) | ~mem(vertex,t2tb2(X14),t2tb(sK18))) )), 21.23/3.46 inference(cnf_transformation,[],[f170])). 21.23/3.46 tff(f3101,plain,( 21.23/3.46 ~spl44_315 | spl44_319 | ~spl44_263), 21.23/3.46 inference(avatar_split_clause,[],[f3067,f2618,f3099,f3083])). 21.23/3.46 tff(f3083,plain,( 21.23/3.46 spl44_315 <=> mem(vertex,t2tb2(sK31),t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_315])])). 21.23/3.46 tff(f3099,plain,( 21.23/3.46 spl44_319 <=> ! [X0 : vertex1] : (~$less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK31))),weight1(sK40,X0)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X0)))) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(sK40))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_319])])). 21.23/3.46 tff(f3067,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (~$less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK31))),weight1(sK40,X0)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X0)))) | ~mem(vertex,t2tb2(sK31),t2tb(sK19)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(sK40)))) ) | ~spl44_263), 21.23/3.46 inference(superposition,[],[f374,f2619])). 21.23/3.46 tff(f374,plain,( 21.23/3.46 ( ! [X12 : vertex1,X13 : vertex1] : (~mem(vertex,t2tb2(X12),t2tb(sK19)) | ~mem(vertex,t2tb2(X13),t2tb(g_succ1(X12))) | ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X12))),weight1(X12,X13)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X13))))) )), 21.23/3.46 inference(cnf_transformation,[],[f170])). 21.23/3.46 tff(f3097,plain,( 21.23/3.46 ~spl44_317 | spl44_318 | ~spl44_263), 21.23/3.46 inference(avatar_split_clause,[],[f3070,f2618,f3095,f3092])). 21.23/3.46 tff(f3095,plain,( 21.23/3.46 spl44_318 <=> path1(sK12,sK40,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK31))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_318])])). 21.23/3.46 tff(f3070,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK31),t2tb(sK18)) | path1(sK12,sK40,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK31)))) | ~spl44_263), 21.23/3.46 inference(superposition,[],[f385,f2619])). 21.23/3.46 tff(f385,plain,( 21.23/3.46 ( ! [X10 : vertex1] : (path1(sK12,X10,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X10)))) | ~mem(vertex,t2tb2(X10),t2tb(sK18))) )), 21.23/3.46 inference(cnf_transformation,[],[f170])). 21.23/3.46 tff(f3090,plain,( 21.23/3.46 spl44_316 | ~spl44_263), 21.23/3.46 inference(avatar_split_clause,[],[f3086,f2618,f3088])). 21.23/3.46 tff(f3086,plain,( 21.23/3.46 sK31 = sK40 | ~spl44_263), 21.23/3.46 inference(forward_demodulation,[],[f3058,f215])). 21.23/3.46 tff(f215,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (tb2t2(t2tb2(X0)) = X0) )), 21.23/3.46 inference(cnf_transformation,[],[f132])). 21.23/3.46 tff(f132,plain,( 21.23/3.46 ! [X0 : vertex1] : tb2t2(t2tb2(X0)) = X0), 21.23/3.46 inference(rectify,[],[f22])). 21.23/3.46 tff(f22,axiom,( 21.23/3.46 ! [X19 : vertex1] : tb2t2(t2tb2(X19)) = X19), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f3058,plain,( 21.23/3.46 sK40 = tb2t2(t2tb2(sK31)) | ~spl44_263), 21.23/3.46 inference(superposition,[],[f215,f2619])). 21.23/3.46 tff(f3085,plain,( 21.23/3.46 spl44_314 | ~spl44_315 | ~spl44_263), 21.23/3.46 inference(avatar_split_clause,[],[f3071,f2618,f3083,f3080])). 21.23/3.46 tff(f3080,plain,( 21.23/3.46 spl44_314 <=> shortest_path1(sK12,sK40,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK31))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_314])])). 21.23/3.46 tff(f3071,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK31),t2tb(sK19)) | shortest_path1(sK12,sK40,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK31)))) | ~spl44_263), 21.23/3.46 inference(superposition,[],[f386,f2619])). 21.23/3.46 tff(f386,plain,( 21.23/3.46 ( ! [X18 : vertex1] : (~mem(vertex,t2tb2(X18),t2tb(sK19)) | shortest_path1(sK12,X18,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X18))))) )), 21.23/3.46 inference(cnf_transformation,[],[f170])). 21.23/3.46 tff(f3057,plain,( 21.23/3.46 ~spl44_313 | ~spl44_23 | spl44_310), 21.23/3.46 inference(avatar_split_clause,[],[f3053,f3012,f494,f3055])). 21.23/3.46 tff(f494,plain,( 21.23/3.46 spl44_23 <=> sK29 = sK36), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_23])])). 21.23/3.46 tff(f3012,plain,( 21.23/3.46 spl44_310 <=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK40)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_310])])). 21.23/3.46 tff(f3053,plain,( 21.23/3.46 ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK40)),tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31)))) | (~spl44_23 | spl44_310)), 21.23/3.46 inference(forward_demodulation,[],[f3013,f495])). 21.23/3.46 tff(f495,plain,( 21.23/3.46 sK29 = sK36 | ~spl44_23), 21.23/3.46 inference(avatar_component_clause,[],[f494])). 21.23/3.46 tff(f3013,plain,( 21.23/3.46 ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK40)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31)))) | spl44_310), 21.23/3.46 inference(avatar_component_clause,[],[f3012])). 21.23/3.46 tff(f3052,plain,( 21.23/3.46 spl44_312 | ~spl44_23 | ~spl44_158), 21.23/3.46 inference(avatar_split_clause,[],[f3039,f1692,f494,f3050])). 21.23/3.46 tff(f3050,plain,( 21.23/3.46 spl44_312 <=> t2tb1(sK36) = set1(int,vertex,t2tb1(sK36),t2tb2(sK31),get(int,vertex,t2tb1(sK36),t2tb2(sK31)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_312])])). 21.23/3.46 tff(f1692,plain,( 21.23/3.46 spl44_158 <=> t2tb1(sK36) = set1(int,vertex,t2tb1(sK29),t2tb2(sK31),get(int,vertex,t2tb1(sK36),t2tb2(sK31)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_158])])). 21.23/3.46 tff(f3039,plain,( 21.23/3.46 t2tb1(sK36) = set1(int,vertex,t2tb1(sK36),t2tb2(sK31),get(int,vertex,t2tb1(sK36),t2tb2(sK31))) | (~spl44_23 | ~spl44_158)), 21.23/3.46 inference(backward_demodulation,[],[f1693,f495])). 21.23/3.46 tff(f1693,plain,( 21.23/3.46 t2tb1(sK36) = set1(int,vertex,t2tb1(sK29),t2tb2(sK31),get(int,vertex,t2tb1(sK36),t2tb2(sK31))) | ~spl44_158), 21.23/3.46 inference(avatar_component_clause,[],[f1692])). 21.23/3.46 tff(f3048,plain,( 21.23/3.46 spl44_311 | ~spl44_23 | ~spl44_49), 21.23/3.46 inference(avatar_split_clause,[],[f3021,f622,f494,f3046])). 21.23/3.46 tff(f622,plain,( 21.23/3.46 spl44_49 <=> sP38(sK27,sK36,sK31,sK27,sK29,sK22)), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_49])])). 21.23/3.46 tff(f3021,plain,( 21.23/3.46 sP38(sK27,sK36,sK31,sK27,sK36,sK22) | (~spl44_23 | ~spl44_49)), 21.23/3.46 inference(backward_demodulation,[],[f623,f495])). 21.23/3.46 tff(f623,plain,( 21.23/3.46 sP38(sK27,sK36,sK31,sK27,sK29,sK22) | ~spl44_49), 21.23/3.46 inference(avatar_component_clause,[],[f622])). 21.23/3.46 tff(f3014,plain,( 21.23/3.46 ~spl44_310 | ~spl44_263 | spl44_264), 21.23/3.46 inference(avatar_split_clause,[],[f3000,f2638,f2618,f3012])). 21.23/3.46 tff(f2638,plain,( 21.23/3.46 spl44_264 <=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK40)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK40))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_264])])). 21.23/3.46 tff(f3000,plain,( 21.23/3.46 ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK40)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31)))) | (~spl44_263 | spl44_264)), 21.23/3.46 inference(backward_demodulation,[],[f2639,f2619])). 21.23/3.46 tff(f2639,plain,( 21.23/3.46 ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK40)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK40)))) | spl44_264), 21.23/3.46 inference(avatar_component_clause,[],[f2638])). 21.23/3.46 tff(f3010,plain,( 21.23/3.46 spl44_261 | ~spl44_83 | ~spl44_263), 21.23/3.46 inference(avatar_split_clause,[],[f2998,f2618,f844,f2598])). 21.23/3.46 tff(f2598,plain,( 21.23/3.46 spl44_261 <=> mem(vertex,t2tb2(sK31),t2tb(g_succ1(sK22)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_261])])). 21.23/3.46 tff(f844,plain,( 21.23/3.46 spl44_83 <=> mem(vertex,t2tb2(sK40),t2tb(g_succ1(sK22)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_83])])). 21.23/3.46 tff(f2998,plain,( 21.23/3.46 mem(vertex,t2tb2(sK31),t2tb(g_succ1(sK22))) | (~spl44_83 | ~spl44_263)), 21.23/3.46 inference(backward_demodulation,[],[f845,f2619])). 21.23/3.46 tff(f845,plain,( 21.23/3.46 mem(vertex,t2tb2(sK40),t2tb(g_succ1(sK22))) | ~spl44_83), 21.23/3.46 inference(avatar_component_clause,[],[f844])). 21.23/3.46 tff(f3008,plain,( 21.23/3.46 ~spl44_309 | spl44_84 | ~spl44_263), 21.23/3.46 inference(avatar_split_clause,[],[f2999,f2618,f851,f3006])). 21.23/3.46 tff(f3006,plain,( 21.23/3.46 spl44_309 <=> mem(vertex,t2tb2(sK31),remove(vertex,t2tb2(sK31),t2tb(sK28)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_309])])). 21.23/3.46 tff(f851,plain,( 21.23/3.46 spl44_84 <=> mem(vertex,t2tb2(sK40),remove(vertex,t2tb2(sK31),t2tb(sK28)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_84])])). 21.23/3.46 tff(f2999,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK31),remove(vertex,t2tb2(sK31),t2tb(sK28))) | (spl44_84 | ~spl44_263)), 21.23/3.46 inference(backward_demodulation,[],[f852,f2619])). 21.23/3.46 tff(f852,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK40),remove(vertex,t2tb2(sK31),t2tb(sK28))) | spl44_84), 21.23/3.46 inference(avatar_component_clause,[],[f851])). 21.23/3.46 tff(f3004,plain,( 21.23/3.46 ~spl44_308 | spl44_81 | ~spl44_263), 21.23/3.46 inference(avatar_split_clause,[],[f2997,f2618,f831,f3002])). 21.23/3.46 tff(f3002,plain,( 21.23/3.46 spl44_308 <=> mem(vertex,t2tb2(sK31),t2tb(tb2t(remove(vertex,t2tb2(sK31),t2tb(sK28)))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_308])])). 21.23/3.46 tff(f831,plain,( 21.23/3.46 spl44_81 <=> mem(vertex,t2tb2(sK40),t2tb(tb2t(remove(vertex,t2tb2(sK31),t2tb(sK28)))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_81])])). 21.23/3.46 tff(f2997,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK31),t2tb(tb2t(remove(vertex,t2tb2(sK31),t2tb(sK28))))) | (spl44_81 | ~spl44_263)), 21.23/3.46 inference(backward_demodulation,[],[f832,f2619])). 21.23/3.46 tff(f832,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK40),t2tb(tb2t(remove(vertex,t2tb2(sK31),t2tb(sK28))))) | spl44_81), 21.23/3.46 inference(avatar_component_clause,[],[f831])). 21.23/3.46 tff(f2994,plain,( 21.23/3.46 spl44_307 | ~spl44_55 | ~spl44_103), 21.23/3.46 inference(avatar_split_clause,[],[f2990,f1084,f657,f2992])). 21.23/3.46 tff(f2992,plain,( 21.23/3.46 spl44_307 <=> tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK36),t2tb2(sK12)))) = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK29),t2tb2(sK12))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_307])])). 21.23/3.46 tff(f657,plain,( 21.23/3.46 spl44_55 <=> sK15 = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK36),t2tb2(sK12))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_55])])). 21.23/3.46 tff(f1084,plain,( 21.23/3.46 spl44_103 <=> sK15 = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK29),t2tb2(sK12))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_103])])). 21.23/3.46 tff(f2990,plain,( 21.23/3.46 tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK36),t2tb2(sK12)))) = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK29),t2tb2(sK12)))) | (~spl44_55 | ~spl44_103)), 21.23/3.46 inference(backward_demodulation,[],[f1085,f658])). 21.23/3.46 tff(f658,plain,( 21.23/3.46 sK15 = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK36),t2tb2(sK12)))) | ~spl44_55), 21.23/3.46 inference(avatar_component_clause,[],[f657])). 21.23/3.46 tff(f1085,plain,( 21.23/3.46 sK15 = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK29),t2tb2(sK12)))) | ~spl44_103), 21.23/3.46 inference(avatar_component_clause,[],[f1084])). 21.23/3.46 tff(f2989,plain,( 21.23/3.46 spl44_306 | ~spl44_17 | ~spl44_285), 21.23/3.46 inference(avatar_split_clause,[],[f2928,f2818,f471,f2987])). 21.23/3.46 tff(f2987,plain,( 21.23/3.46 spl44_306 <=> sK8(vertex,t2tb(sK16),t2tb(sK27)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK27))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_306])])). 21.23/3.46 tff(f471,plain,( 21.23/3.46 spl44_17 <=> sK27 = sK35), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_17])])). 21.23/3.46 tff(f2818,plain,( 21.23/3.46 spl44_285 <=> sK8(vertex,t2tb(sK16),t2tb(sK35)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK35))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_285])])). 21.23/3.46 tff(f2928,plain,( 21.23/3.46 sK8(vertex,t2tb(sK16),t2tb(sK27)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK27)))) | (~spl44_17 | ~spl44_285)), 21.23/3.46 inference(backward_demodulation,[],[f2819,f472])). 21.23/3.46 tff(f472,plain,( 21.23/3.46 sK27 = sK35 | ~spl44_17), 21.23/3.46 inference(avatar_component_clause,[],[f471])). 21.23/3.46 tff(f2819,plain,( 21.23/3.46 sK8(vertex,t2tb(sK16),t2tb(sK35)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK35)))) | ~spl44_285), 21.23/3.46 inference(avatar_component_clause,[],[f2818])). 21.23/3.46 tff(f2985,plain,( 21.23/3.46 spl44_305 | ~spl44_17 | ~spl44_280), 21.23/3.46 inference(avatar_split_clause,[],[f2921,f2782,f471,f2983])). 21.23/3.46 tff(f2983,plain,( 21.23/3.46 spl44_305 <=> sort1(vertex,sK8(vertex,empty(vertex),t2tb(sK27)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_305])])). 21.23/3.46 tff(f2782,plain,( 21.23/3.46 spl44_280 <=> sort1(vertex,sK8(vertex,empty(vertex),t2tb(sK35)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_280])])). 21.23/3.46 tff(f2921,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,empty(vertex),t2tb(sK27))) | (~spl44_17 | ~spl44_280)), 21.23/3.46 inference(backward_demodulation,[],[f2783,f472])). 21.23/3.46 tff(f2783,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,empty(vertex),t2tb(sK35))) | ~spl44_280), 21.23/3.46 inference(avatar_component_clause,[],[f2782])). 21.23/3.46 tff(f2981,plain,( 21.23/3.46 ~spl44_304 | ~spl44_17 | spl44_276), 21.23/3.46 inference(avatar_split_clause,[],[f2919,f2763,f471,f2979])). 21.23/3.46 tff(f2979,plain,( 21.23/3.46 spl44_304 <=> subset(vertex,t2tb(sK27),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_304])])). 21.23/3.46 tff(f2763,plain,( 21.23/3.46 spl44_276 <=> subset(vertex,t2tb(sK35),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_276])])). 21.23/3.46 tff(f2919,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK27),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | (~spl44_17 | spl44_276)), 21.23/3.46 inference(backward_demodulation,[],[f2764,f472])). 21.23/3.46 tff(f2764,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK35),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | spl44_276), 21.23/3.46 inference(avatar_component_clause,[],[f2763])). 21.23/3.46 tff(f2977,plain,( 21.23/3.46 ~spl44_303 | ~spl44_17 | spl44_271), 21.23/3.46 inference(avatar_split_clause,[],[f2917,f2744,f471,f2975])). 21.23/3.46 tff(f2975,plain,( 21.23/3.46 spl44_303 <=> subset(vertex,t2tb(sK27),t2tb(sK16))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_303])])). 21.23/3.46 tff(f2744,plain,( 21.23/3.46 spl44_271 <=> subset(vertex,t2tb(sK35),t2tb(sK16))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_271])])). 21.23/3.46 tff(f2917,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK27),t2tb(sK16)) | (~spl44_17 | spl44_271)), 21.23/3.46 inference(backward_demodulation,[],[f2745,f472])). 21.23/3.46 tff(f2745,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK35),t2tb(sK16)) | spl44_271), 21.23/3.46 inference(avatar_component_clause,[],[f2744])). 21.23/3.46 tff(f2973,plain,( 21.23/3.46 spl44_302 | ~spl44_17 | ~spl44_284), 21.23/3.46 inference(avatar_split_clause,[],[f2927,f2813,f471,f2971])). 21.23/3.46 tff(f2971,plain,( 21.23/3.46 spl44_302 <=> sK8(vertex,empty(vertex),t2tb(sK27)) = t2tb2(tb2t2(sK8(vertex,empty(vertex),t2tb(sK27))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_302])])). 21.23/3.46 tff(f2813,plain,( 21.23/3.46 spl44_284 <=> sK8(vertex,empty(vertex),t2tb(sK35)) = t2tb2(tb2t2(sK8(vertex,empty(vertex),t2tb(sK35))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_284])])). 21.23/3.46 tff(f2927,plain,( 21.23/3.46 sK8(vertex,empty(vertex),t2tb(sK27)) = t2tb2(tb2t2(sK8(vertex,empty(vertex),t2tb(sK27)))) | (~spl44_17 | ~spl44_284)), 21.23/3.46 inference(backward_demodulation,[],[f2814,f472])). 21.23/3.46 tff(f2814,plain,( 21.23/3.46 sK8(vertex,empty(vertex),t2tb(sK35)) = t2tb2(tb2t2(sK8(vertex,empty(vertex),t2tb(sK35)))) | ~spl44_284), 21.23/3.46 inference(avatar_component_clause,[],[f2813])). 21.23/3.46 tff(f2969,plain,( 21.23/3.46 ~spl44_301 | ~spl44_17 | spl44_273), 21.23/3.46 inference(avatar_split_clause,[],[f2918,f2752,f471,f2967])). 21.23/3.46 tff(f2967,plain,( 21.23/3.46 spl44_301 <=> subset(vertex,t2tb(sK27),empty(vertex))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_301])])). 21.23/3.46 tff(f2752,plain,( 21.23/3.46 spl44_273 <=> subset(vertex,t2tb(sK35),empty(vertex))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_273])])). 21.23/3.46 tff(f2918,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK27),empty(vertex)) | (~spl44_17 | spl44_273)), 21.23/3.46 inference(backward_demodulation,[],[f2753,f472])). 21.23/3.46 tff(f2753,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK35),empty(vertex)) | spl44_273), 21.23/3.46 inference(avatar_component_clause,[],[f2752])). 21.23/3.46 tff(f2965,plain,( 21.23/3.46 spl44_300 | ~spl44_17 | ~spl44_283), 21.23/3.46 inference(avatar_split_clause,[],[f2926,f2808,f471,f2963])). 21.23/3.46 tff(f2963,plain,( 21.23/3.46 spl44_300 <=> sort1(vertex,sK8(vertex,t2tb(sK16),t2tb(sK27)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_300])])). 21.23/3.46 tff(f2808,plain,( 21.23/3.46 spl44_283 <=> sort1(vertex,sK8(vertex,t2tb(sK16),t2tb(sK35)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_283])])). 21.23/3.46 tff(f2926,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK16),t2tb(sK27))) | (~spl44_17 | ~spl44_283)), 21.23/3.46 inference(backward_demodulation,[],[f2809,f472])). 21.23/3.46 tff(f2809,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK16),t2tb(sK35))) | ~spl44_283), 21.23/3.46 inference(avatar_component_clause,[],[f2808])). 21.23/3.46 tff(f2961,plain,( 21.23/3.46 spl44_299 | ~spl44_17 | ~spl44_281), 21.23/3.46 inference(avatar_split_clause,[],[f2922,f2786,f471,f2959])). 21.23/3.46 tff(f2959,plain,( 21.23/3.46 spl44_299 <=> mem(vertex,sK8(vertex,empty(vertex),t2tb(sK27)),t2tb(sK27))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_299])])). 21.23/3.46 tff(f2786,plain,( 21.23/3.46 spl44_281 <=> mem(vertex,sK8(vertex,empty(vertex),t2tb(sK35)),t2tb(sK35))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_281])])). 21.23/3.46 tff(f2922,plain,( 21.23/3.46 mem(vertex,sK8(vertex,empty(vertex),t2tb(sK27)),t2tb(sK27)) | (~spl44_17 | ~spl44_281)), 21.23/3.46 inference(backward_demodulation,[],[f2787,f472])). 21.23/3.46 tff(f2787,plain,( 21.23/3.46 mem(vertex,sK8(vertex,empty(vertex),t2tb(sK35)),t2tb(sK35)) | ~spl44_281), 21.23/3.46 inference(avatar_component_clause,[],[f2786])). 21.23/3.46 tff(f2957,plain,( 21.23/3.46 spl44_298 | ~spl44_17 | ~spl44_286), 21.23/3.46 inference(avatar_split_clause,[],[f2938,f2836,f471,f2955])). 21.23/3.46 tff(f2955,plain,( 21.23/3.46 spl44_298 <=> mem(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK27)),t2tb(sK27))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_298])])). 21.23/3.46 tff(f2836,plain,( 21.23/3.46 spl44_286 <=> mem(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK35)),t2tb(sK35))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_286])])). 21.23/3.46 tff(f2938,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK27)),t2tb(sK27)) | (~spl44_17 | ~spl44_286)), 21.23/3.46 inference(backward_demodulation,[],[f2837,f472])). 21.23/3.46 tff(f2837,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK35)),t2tb(sK35)) | ~spl44_286), 21.23/3.46 inference(avatar_component_clause,[],[f2836])). 21.23/3.46 tff(f2953,plain,( 21.23/3.46 spl44_297 | ~spl44_17 | ~spl44_282), 21.23/3.46 inference(avatar_split_clause,[],[f2925,f2804,f471,f2951])). 21.23/3.46 tff(f2951,plain,( 21.23/3.46 spl44_297 <=> mem(vertex,sK8(vertex,t2tb(sK16),t2tb(sK27)),t2tb(sK27))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_297])])). 21.23/3.46 tff(f2804,plain,( 21.23/3.46 spl44_282 <=> mem(vertex,sK8(vertex,t2tb(sK16),t2tb(sK35)),t2tb(sK35))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_282])])). 21.23/3.46 tff(f2925,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(sK16),t2tb(sK27)),t2tb(sK27)) | (~spl44_17 | ~spl44_282)), 21.23/3.46 inference(backward_demodulation,[],[f2805,f472])). 21.23/3.46 tff(f2805,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(sK16),t2tb(sK35)),t2tb(sK35)) | ~spl44_282), 21.23/3.46 inference(avatar_component_clause,[],[f2804])). 21.23/3.46 tff(f2949,plain,( 21.23/3.46 ~spl44_296 | ~spl44_17 | spl44_277), 21.23/3.46 inference(avatar_split_clause,[],[f2920,f2767,f471,f2947])). 21.23/3.46 tff(f2947,plain,( 21.23/3.46 spl44_296 <=> subset(vertex,t2tb(sK27),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_296])])). 21.23/3.46 tff(f2767,plain,( 21.23/3.46 spl44_277 <=> subset(vertex,t2tb(sK35),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_277])])). 21.23/3.46 tff(f2920,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK27),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | (~spl44_17 | spl44_277)), 21.23/3.46 inference(backward_demodulation,[],[f2768,f472])). 21.23/3.46 tff(f2768,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK35),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | spl44_277), 21.23/3.46 inference(avatar_component_clause,[],[f2767])). 21.23/3.46 tff(f2945,plain,( 21.23/3.46 spl44_295 | ~spl44_17 | ~spl44_287), 21.23/3.46 inference(avatar_split_clause,[],[f2939,f2840,f471,f2943])). 21.23/3.46 tff(f2943,plain,( 21.23/3.46 spl44_295 <=> sort1(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK27)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_295])])). 21.23/3.46 tff(f2840,plain,( 21.23/3.46 spl44_287 <=> sort1(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK35)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_287])])). 21.23/3.46 tff(f2939,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK27))) | (~spl44_17 | ~spl44_287)), 21.23/3.46 inference(backward_demodulation,[],[f2841,f472])). 21.23/3.46 tff(f2841,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK35))) | ~spl44_287), 21.23/3.46 inference(avatar_component_clause,[],[f2840])). 21.23/3.46 tff(f2909,plain,( 21.23/3.46 spl44_58 | ~spl44_56 | ~spl44_102), 21.23/3.46 inference(avatar_split_clause,[],[f2908,f1078,f662,f680])). 21.23/3.46 tff(f680,plain,( 21.23/3.46 spl44_58 <=> get(int,vertex,t2tb1(sK29),t2tb2(sK12)) = get(int,vertex,t2tb1(sK36),t2tb2(sK12))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_58])])). 21.23/3.46 tff(f662,plain,( 21.23/3.46 spl44_56 <=> get(int,vertex,t2tb1(sK17),t2tb2(sK12)) = get(int,vertex,t2tb1(sK36),t2tb2(sK12))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_56])])). 21.23/3.46 tff(f1078,plain,( 21.23/3.46 spl44_102 <=> get(int,vertex,t2tb1(sK29),t2tb2(sK12)) = get(int,vertex,t2tb1(sK17),t2tb2(sK12))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_102])])). 21.23/3.46 tff(f2908,plain,( 21.23/3.46 get(int,vertex,t2tb1(sK29),t2tb2(sK12)) = get(int,vertex,t2tb1(sK36),t2tb2(sK12)) | (~spl44_56 | ~spl44_102)), 21.23/3.46 inference(backward_demodulation,[],[f1079,f663])). 21.23/3.46 tff(f663,plain,( 21.23/3.46 get(int,vertex,t2tb1(sK17),t2tb2(sK12)) = get(int,vertex,t2tb1(sK36),t2tb2(sK12)) | ~spl44_56), 21.23/3.46 inference(avatar_component_clause,[],[f662])). 21.23/3.46 tff(f1079,plain,( 21.23/3.46 get(int,vertex,t2tb1(sK29),t2tb2(sK12)) = get(int,vertex,t2tb1(sK17),t2tb2(sK12)) | ~spl44_102), 21.23/3.46 inference(avatar_component_clause,[],[f1078])). 21.23/3.46 tff(f2907,plain,( 21.23/3.46 spl44_58 | ~spl44_53 | ~spl44_100), 21.23/3.46 inference(avatar_split_clause,[],[f2906,f1066,f648,f680])). 21.23/3.46 tff(f648,plain,( 21.23/3.46 spl44_53 <=> t2tb3(0) = get(int,vertex,t2tb1(sK36),t2tb2(sK12))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_53])])). 21.23/3.46 tff(f1066,plain,( 21.23/3.46 spl44_100 <=> t2tb3(0) = get(int,vertex,t2tb1(sK29),t2tb2(sK12))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_100])])). 21.23/3.46 tff(f2906,plain,( 21.23/3.46 get(int,vertex,t2tb1(sK29),t2tb2(sK12)) = get(int,vertex,t2tb1(sK36),t2tb2(sK12)) | (~spl44_53 | ~spl44_100)), 21.23/3.46 inference(backward_demodulation,[],[f1067,f649])). 21.23/3.46 tff(f649,plain,( 21.23/3.46 t2tb3(0) = get(int,vertex,t2tb1(sK36),t2tb2(sK12)) | ~spl44_53), 21.23/3.46 inference(avatar_component_clause,[],[f648])). 21.23/3.46 tff(f1067,plain,( 21.23/3.46 t2tb3(0) = get(int,vertex,t2tb1(sK29),t2tb2(sK12)) | ~spl44_100), 21.23/3.46 inference(avatar_component_clause,[],[f1066])). 21.23/3.46 tff(f2905,plain,( 21.23/3.46 spl44_42 | ~spl44_48 | ~spl44_79), 21.23/3.46 inference(avatar_contradiction_clause,[],[f2904])). 21.23/3.46 tff(f2904,plain,( 21.23/3.46 $false | (spl44_42 | ~spl44_48 | ~spl44_79)), 21.23/3.46 inference(subsumption_resolution,[],[f2903,f305])). 21.23/3.46 tff(f305,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (sort1(vertex,t2tb2(X0))) )), 21.23/3.46 inference(cnf_transformation,[],[f100])). 21.23/3.46 tff(f100,plain,( 21.23/3.46 ! [X0 : vertex1] : sort1(vertex,t2tb2(X0))), 21.23/3.46 inference(rectify,[],[f11])). 21.23/3.46 tff(f11,axiom,( 21.23/3.46 ! [X7 : vertex1] : sort1(vertex,t2tb2(X7))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2903,plain,( 21.23/3.46 ~sort1(vertex,t2tb2(sK40)) | (spl44_42 | ~spl44_48 | ~spl44_79)), 21.23/3.46 inference(subsumption_resolution,[],[f2902,f2690])). 21.23/3.46 tff(f2690,plain,( 21.23/3.46 mem(vertex,t2tb2(sK40),t2tb(sK27)) | ~spl44_48), 21.23/3.46 inference(avatar_component_clause,[],[f617])). 21.23/3.46 tff(f617,plain,( 21.23/3.46 spl44_48 <=> mem(vertex,t2tb2(sK40),t2tb(sK27))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_48])])). 21.23/3.46 tff(f2902,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK40),t2tb(sK27)) | ~sort1(vertex,t2tb2(sK40)) | (spl44_42 | ~spl44_79)), 21.23/3.46 inference(resolution,[],[f2710,f574])). 21.23/3.46 tff(f574,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK40),t2tb(sK35)) | spl44_42), 21.23/3.46 inference(avatar_component_clause,[],[f573])). 21.23/3.46 tff(f573,plain,( 21.23/3.46 spl44_42 <=> mem(vertex,t2tb2(sK40),t2tb(sK35))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_42])])). 21.23/3.46 tff(f2710,plain,( 21.23/3.46 ( ! [X0 : uni] : (mem(vertex,X0,t2tb(sK35)) | ~sort1(vertex,X0) | ~mem(vertex,X0,t2tb(sK27))) ) | ~spl44_79), 21.23/3.46 inference(subsumption_resolution,[],[f2703,f305])). 21.23/3.46 tff(f2703,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK27)) | ~sort1(vertex,t2tb2(sK31)) | mem(vertex,X0,t2tb(sK35)) | ~sort1(vertex,X0)) ) | ~spl44_79), 21.23/3.46 inference(superposition,[],[f238,f809])). 21.23/3.46 tff(f809,plain,( 21.23/3.46 t2tb(sK35) = add(vertex,t2tb2(sK31),t2tb(sK27)) | ~spl44_79), 21.23/3.46 inference(avatar_component_clause,[],[f808])). 21.23/3.46 tff(f808,plain,( 21.23/3.46 spl44_79 <=> t2tb(sK35) = add(vertex,t2tb2(sK31),t2tb(sK27))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_79])])). 21.23/3.46 tff(f238,plain,( 21.23/3.46 ( ! [X2 : ty,X3 : uni,X0 : uni,X1 : uni] : (mem(X2,X0,add(X2,X1,X3)) | ~sort1(X2,X1) | ~sort1(X2,X0) | ~mem(X2,X0,X3)) )), 21.23/3.46 inference(cnf_transformation,[],[f177])). 21.23/3.46 tff(f177,plain,( 21.23/3.46 ! [X2 : ty,X1 : uni,X0 : uni] : (~sort1(X2,X0) | ~sort1(X2,X1) | ! [X3 : uni] : (mem(X2,X0,add(X2,X1,X3)) <=> (mem(X2,X0,X3) | X0 = X1)))), 21.23/3.46 inference(flattening,[],[f176])). 21.23/3.46 tff(f176,plain,( 21.23/3.46 ! [X0 : uni,X2 : ty,X1 : uni] : ((! [X3 : uni] : (mem(X2,X0,add(X2,X1,X3)) <=> (mem(X2,X0,X3) | X0 = X1)) | ~sort1(X2,X1)) | ~sort1(X2,X0))), 21.23/3.46 inference(ennf_transformation,[],[f162])). 21.23/3.46 tff(f162,plain,( 21.23/3.46 ! [X0 : uni,X2 : ty,X1 : uni] : (sort1(X2,X0) => (sort1(X2,X1) => ! [X3 : uni] : (mem(X2,X0,add(X2,X1,X3)) <=> (mem(X2,X0,X3) | X0 = X1))))), 21.23/3.46 inference(rectify,[],[f9])). 21.23/3.46 tff(f9,axiom,( 21.23/3.46 ! [X7 : uni,X14 : uni,X0 : ty] : (sort1(X0,X7) => (sort1(X0,X14) => ! [X1 : uni] : ((mem(X0,X7,X1) | X7 = X14) <=> mem(X0,X7,add(X0,X14,X1)))))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2901,plain,( 21.23/3.46 spl44_294 | ~spl44_290), 21.23/3.46 inference(avatar_split_clause,[],[f2897,f2878,f2899])). 21.23/3.46 tff(f2899,plain,( 21.23/3.46 spl44_294 <=> sK8(vertex,t2tb(sK16),remove(vertex,t2tb2(sK22),t2tb(sK26))) = t2tb2(tb2t2(sK8(vertex,t2tb(sK16),remove(vertex,t2tb2(sK22),t2tb(sK26)))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_294])])). 21.23/3.46 tff(f2878,plain,( 21.23/3.46 spl44_290 <=> sort1(vertex,sK8(vertex,t2tb(sK16),remove(vertex,t2tb2(sK22),t2tb(sK26))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_290])])). 21.23/3.46 tff(f2897,plain,( 21.23/3.46 sK8(vertex,t2tb(sK16),remove(vertex,t2tb2(sK22),t2tb(sK26))) = t2tb2(tb2t2(sK8(vertex,t2tb(sK16),remove(vertex,t2tb2(sK22),t2tb(sK26))))) | ~spl44_290), 21.23/3.46 inference(resolution,[],[f2879,f282])). 21.23/3.46 tff(f282,plain,( 21.23/3.46 ( ! [X0 : uni] : (~sort1(vertex,X0) | t2tb2(tb2t2(X0)) = X0) )), 21.23/3.46 inference(cnf_transformation,[],[f173])). 21.23/3.46 tff(f173,plain,( 21.23/3.46 ! [X0 : uni] : (~sort1(vertex,X0) | t2tb2(tb2t2(X0)) = X0)), 21.23/3.46 inference(ennf_transformation,[],[f116])). 21.23/3.46 tff(f116,plain,( 21.23/3.46 ! [X0 : uni] : (sort1(vertex,X0) => t2tb2(tb2t2(X0)) = X0)), 21.23/3.46 inference(rectify,[],[f18])). 21.23/3.46 tff(f18,axiom,( 21.23/3.46 ! [X12 : uni] : (sort1(vertex,X12) => t2tb2(tb2t2(X12)) = X12)), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2879,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK16),remove(vertex,t2tb2(sK22),t2tb(sK26)))) | ~spl44_290), 21.23/3.46 inference(avatar_component_clause,[],[f2878])). 21.23/3.46 tff(f2896,plain,( 21.23/3.46 spl44_293 | spl44_289), 21.23/3.46 inference(avatar_split_clause,[],[f2888,f2856,f2894])). 21.23/3.46 tff(f2894,plain,( 21.23/3.46 spl44_293 <=> sort1(vertex,sK8(vertex,empty(vertex),remove(vertex,t2tb2(sK22),t2tb(sK26))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_293])])). 21.23/3.46 tff(f2856,plain,( 21.23/3.46 spl44_289 <=> subset(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),empty(vertex))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_289])])). 21.23/3.46 tff(f2888,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,empty(vertex),remove(vertex,t2tb2(sK22),t2tb(sK26)))) | spl44_289), 21.23/3.46 inference(resolution,[],[f2857,f289])). 21.23/3.46 tff(f289,plain,( 21.23/3.46 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,X2,X1) | sort1(X0,sK8(X0,X1,X2))) )), 21.23/3.46 inference(cnf_transformation,[],[f183])). 21.23/3.46 tff(f183,plain,( 21.23/3.46 ! [X1 : uni,X0 : ty,X2 : uni] : ((subset(X0,X2,X1) | ? [X3 : uni] : (~mem(X0,X3,X1) & mem(X0,X3,X2) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X1) | ~mem(X0,X4,X2)) | ~subset(X0,X2,X1)))), 21.23/3.46 inference(flattening,[],[f182])). 21.23/3.46 tff(f182,plain,( 21.23/3.46 ! [X1 : uni,X0 : ty,X2 : uni] : ((subset(X0,X2,X1) | ? [X3 : uni] : ((~mem(X0,X3,X1) & mem(X0,X3,X2)) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X1) | ~mem(X0,X4,X2)) | ~subset(X0,X2,X1)))), 21.23/3.46 inference(ennf_transformation,[],[f133])). 21.23/3.46 tff(f133,plain,( 21.23/3.46 ! [X1 : uni,X0 : ty,X2 : uni] : ((! [X3 : uni] : (sort1(X0,X3) => (mem(X0,X3,X2) => mem(X0,X3,X1))) => subset(X0,X2,X1)) & (subset(X0,X2,X1) => ! [X4 : uni] : (mem(X0,X4,X2) => mem(X0,X4,X1))))), 21.23/3.46 inference(rectify,[],[f74])). 21.23/3.46 tff(f74,axiom,( 21.23/3.46 ! [X0 : ty,X5 : uni,X4 : uni] : ((! [X7 : uni] : (sort1(X0,X7) => (mem(X0,X7,X4) => mem(X0,X7,X5))) => subset(X0,X4,X5)) & (subset(X0,X4,X5) => ! [X7 : uni] : (mem(X0,X7,X4) => mem(X0,X7,X5))))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2857,plain,( 21.23/3.46 ~subset(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),empty(vertex)) | spl44_289), 21.23/3.46 inference(avatar_component_clause,[],[f2856])). 21.23/3.46 tff(f2892,plain,( 21.23/3.46 spl44_292 | spl44_289), 21.23/3.46 inference(avatar_split_clause,[],[f2887,f2856,f2890])). 21.23/3.46 tff(f2890,plain,( 21.23/3.46 spl44_292 <=> mem(vertex,sK8(vertex,empty(vertex),remove(vertex,t2tb2(sK22),t2tb(sK26))),remove(vertex,t2tb2(sK22),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_292])])). 21.23/3.46 tff(f2887,plain,( 21.23/3.46 mem(vertex,sK8(vertex,empty(vertex),remove(vertex,t2tb2(sK22),t2tb(sK26))),remove(vertex,t2tb2(sK22),t2tb(sK26))) | spl44_289), 21.23/3.46 inference(resolution,[],[f2857,f290])). 21.23/3.46 tff(f290,plain,( 21.23/3.46 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,X2,X1) | mem(X0,sK8(X0,X1,X2),X2)) )), 21.23/3.46 inference(cnf_transformation,[],[f183])). 21.23/3.46 tff(f2884,plain,( 21.23/3.46 spl44_291 | spl44_288), 21.23/3.46 inference(avatar_split_clause,[],[f2875,f2850,f2882])). 21.23/3.46 tff(f2882,plain,( 21.23/3.46 spl44_291 <=> mem(vertex,sK8(vertex,t2tb(sK16),remove(vertex,t2tb2(sK22),t2tb(sK26))),remove(vertex,t2tb2(sK22),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_291])])). 21.23/3.46 tff(f2850,plain,( 21.23/3.46 spl44_288 <=> subset(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK16))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_288])])). 21.23/3.46 tff(f2875,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(sK16),remove(vertex,t2tb2(sK22),t2tb(sK26))),remove(vertex,t2tb2(sK22),t2tb(sK26))) | spl44_288), 21.23/3.46 inference(resolution,[],[f2851,f290])). 21.23/3.46 tff(f2851,plain,( 21.23/3.46 ~subset(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK16)) | spl44_288), 21.23/3.46 inference(avatar_component_clause,[],[f2850])). 21.23/3.46 tff(f2880,plain,( 21.23/3.46 spl44_290 | spl44_288), 21.23/3.46 inference(avatar_split_clause,[],[f2876,f2850,f2878])). 21.23/3.46 tff(f2876,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK16),remove(vertex,t2tb2(sK22),t2tb(sK26)))) | spl44_288), 21.23/3.46 inference(resolution,[],[f2851,f289])). 21.23/3.46 tff(f2858,plain,( 21.23/3.46 ~spl44_289 | spl44_166 | spl44_185), 21.23/3.46 inference(avatar_split_clause,[],[f2847,f1966,f1777,f2856])). 21.23/3.46 tff(f1777,plain,( 21.23/3.46 spl44_166 <=> subset(vertex,t2tb(sK26),empty(vertex))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_166])])). 21.23/3.46 tff(f1966,plain,( 21.23/3.46 spl44_185 <=> sort1(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_185])])). 21.23/3.46 tff(f2847,plain,( 21.23/3.46 ~subset(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),empty(vertex)) | (spl44_166 | spl44_185)), 21.23/3.46 inference(resolution,[],[f2591,f1930])). 21.23/3.46 tff(f1930,plain,( 21.23/3.46 ( ! [X0 : uni] : (sort1(vertex,sK8(vertex,X0,t2tb(sK26))) | ~subset(vertex,X0,empty(vertex))) ) | spl44_166), 21.23/3.46 inference(resolution,[],[f1843,f289])). 21.23/3.46 tff(f1843,plain,( 21.23/3.46 ( ! [X0 : uni] : (~subset(vertex,t2tb(sK26),X0) | ~subset(vertex,X0,empty(vertex))) ) | spl44_166), 21.23/3.46 inference(resolution,[],[f1778,f256])). 21.23/3.46 tff(f256,plain,( 21.23/3.46 ( ! [X2 : ty,X3 : uni,X0 : uni,X1 : uni] : (subset(X2,X3,X0) | ~subset(X2,X1,X0) | ~subset(X2,X3,X1)) )), 21.23/3.46 inference(cnf_transformation,[],[f167])). 21.23/3.46 tff(f167,plain,( 21.23/3.46 ! [X0 : uni,X2 : ty,X1 : uni,X3 : uni] : (~subset(X2,X3,X1) | ~subset(X2,X1,X0) | subset(X2,X3,X0))), 21.23/3.46 inference(flattening,[],[f166])). 21.23/3.46 tff(f166,plain,( 21.23/3.46 ! [X0 : uni,X1 : uni,X3 : uni,X2 : ty] : ((subset(X2,X3,X0) | ~subset(X2,X1,X0)) | ~subset(X2,X3,X1))), 21.23/3.46 inference(ennf_transformation,[],[f148])). 21.23/3.46 tff(f148,plain,( 21.23/3.46 ! [X0 : uni,X1 : uni,X3 : uni,X2 : ty] : (subset(X2,X3,X1) => (subset(X2,X1,X0) => subset(X2,X3,X0)))), 21.23/3.46 inference(rectify,[],[f3])). 21.23/3.46 tff(f3,axiom,( 21.23/3.46 ! [X6 : uni,X5 : uni,X0 : ty,X4 : uni] : (subset(X0,X4,X5) => (subset(X0,X5,X6) => subset(X0,X4,X6)))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f1778,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),empty(vertex)) | spl44_166), 21.23/3.46 inference(avatar_component_clause,[],[f1777])). 21.23/3.46 tff(f2591,plain,( 21.23/3.46 ~sort1(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26))) | spl44_185), 21.23/3.46 inference(avatar_component_clause,[],[f1966])). 21.23/3.46 tff(f2854,plain,( 21.23/3.46 ~spl44_128 | spl44_167 | spl44_185), 21.23/3.46 inference(avatar_contradiction_clause,[],[f2853])). 21.23/3.46 tff(f2853,plain,( 21.23/3.46 $false | (~spl44_128 | spl44_167 | spl44_185)), 21.23/3.46 inference(subsumption_resolution,[],[f2845,f1307])). 21.23/3.46 tff(f1307,plain,( 21.23/3.46 subset(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK19)) | ~spl44_128), 21.23/3.46 inference(avatar_component_clause,[],[f1306])). 21.23/3.46 tff(f1306,plain,( 21.23/3.46 spl44_128 <=> subset(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_128])])). 21.23/3.46 tff(f2845,plain,( 21.23/3.46 ~subset(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK19)) | (spl44_167 | spl44_185)), 21.23/3.46 inference(resolution,[],[f2591,f2023])). 21.23/3.46 tff(f2023,plain,( 21.23/3.46 ( ! [X0 : uni] : (sort1(vertex,sK8(vertex,X0,t2tb(sK26))) | ~subset(vertex,X0,t2tb(sK19))) ) | spl44_167), 21.23/3.46 inference(resolution,[],[f1859,f289])). 21.23/3.46 tff(f1859,plain,( 21.23/3.46 ( ! [X0 : uni] : (~subset(vertex,t2tb(sK26),X0) | ~subset(vertex,X0,t2tb(sK19))) ) | spl44_167), 21.23/3.46 inference(resolution,[],[f1782,f256])). 21.23/3.46 tff(f1782,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),t2tb(sK19)) | spl44_167), 21.23/3.46 inference(avatar_component_clause,[],[f1781])). 21.23/3.46 tff(f1781,plain,( 21.23/3.46 spl44_167 <=> subset(vertex,t2tb(sK26),t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_167])])). 21.23/3.46 tff(f2852,plain,( 21.23/3.46 ~spl44_288 | spl44_164 | spl44_185), 21.23/3.46 inference(avatar_split_clause,[],[f2846,f1966,f1769,f2850])). 21.23/3.46 tff(f1769,plain,( 21.23/3.46 spl44_164 <=> subset(vertex,t2tb(sK26),t2tb(sK16))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_164])])). 21.23/3.46 tff(f2846,plain,( 21.23/3.46 ~subset(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK16)) | (spl44_164 | spl44_185)), 21.23/3.46 inference(resolution,[],[f2591,f1978])). 21.23/3.46 tff(f1978,plain,( 21.23/3.46 ( ! [X0 : uni] : (sort1(vertex,sK8(vertex,X0,t2tb(sK26))) | ~subset(vertex,X0,t2tb(sK16))) ) | spl44_164), 21.23/3.46 inference(resolution,[],[f1847,f289])). 21.23/3.46 tff(f1847,plain,( 21.23/3.46 ( ! [X0 : uni] : (~subset(vertex,t2tb(sK26),X0) | ~subset(vertex,X0,t2tb(sK16))) ) | spl44_164), 21.23/3.46 inference(resolution,[],[f1770,f256])). 21.23/3.46 tff(f1770,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),t2tb(sK16)) | spl44_164), 21.23/3.46 inference(avatar_component_clause,[],[f1769])). 21.23/3.46 tff(f2842,plain,( 21.23/3.46 spl44_287 | spl44_276), 21.23/3.46 inference(avatar_split_clause,[],[f2834,f2763,f2840])). 21.23/3.46 tff(f2834,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK35))) | spl44_276), 21.23/3.46 inference(resolution,[],[f2764,f289])). 21.23/3.46 tff(f2838,plain,( 21.23/3.46 spl44_286 | spl44_276), 21.23/3.46 inference(avatar_split_clause,[],[f2833,f2763,f2836])). 21.23/3.46 tff(f2833,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK35)),t2tb(sK35)) | spl44_276), 21.23/3.46 inference(resolution,[],[f2764,f290])). 21.23/3.46 tff(f2820,plain,( 21.23/3.46 spl44_285 | ~spl44_283), 21.23/3.46 inference(avatar_split_clause,[],[f2816,f2808,f2818])). 21.23/3.46 tff(f2816,plain,( 21.23/3.46 sK8(vertex,t2tb(sK16),t2tb(sK35)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK35)))) | ~spl44_283), 21.23/3.46 inference(resolution,[],[f2809,f282])). 21.23/3.46 tff(f2815,plain,( 21.23/3.46 spl44_284 | ~spl44_280), 21.23/3.46 inference(avatar_split_clause,[],[f2811,f2782,f2813])). 21.23/3.46 tff(f2811,plain,( 21.23/3.46 sK8(vertex,empty(vertex),t2tb(sK35)) = t2tb2(tb2t2(sK8(vertex,empty(vertex),t2tb(sK35)))) | ~spl44_280), 21.23/3.46 inference(resolution,[],[f2783,f282])). 21.23/3.46 tff(f2810,plain,( 21.23/3.46 spl44_283 | spl44_271), 21.23/3.46 inference(avatar_split_clause,[],[f2802,f2744,f2808])). 21.23/3.46 tff(f2802,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK16),t2tb(sK35))) | spl44_271), 21.23/3.46 inference(resolution,[],[f2745,f289])). 21.23/3.46 tff(f2806,plain,( 21.23/3.46 spl44_282 | spl44_271), 21.23/3.46 inference(avatar_split_clause,[],[f2801,f2744,f2804])). 21.23/3.46 tff(f2801,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(sK16),t2tb(sK35)),t2tb(sK35)) | spl44_271), 21.23/3.46 inference(resolution,[],[f2745,f290])). 21.23/3.46 tff(f2794,plain,( 21.23/3.46 ~spl44_15 | ~spl44_278), 21.23/3.46 inference(avatar_contradiction_clause,[],[f2793])). 21.23/3.46 tff(f2793,plain,( 21.23/3.46 $false | (~spl44_15 | ~spl44_278)), 21.23/3.46 inference(subsumption_resolution,[],[f464,f2790])). 21.23/3.46 tff(f2790,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK35))) ) | ~spl44_278), 21.23/3.46 inference(resolution,[],[f2772,f398])). 21.23/3.46 tff(f398,plain,( 21.23/3.46 ( ! [X3 : uni,X0 : ty,X1 : uni] : (~is_empty(X0,X1) | ~mem(X0,X3,X1)) )), 21.23/3.46 inference(cnf_transformation,[],[f184])). 21.23/3.46 tff(f184,plain,( 21.23/3.46 ! [X0 : ty,X1 : uni] : ((is_empty(X0,X1) | ? [X2 : uni] : (mem(X0,X2,X1) & sort1(X0,X2))) & (! [X3 : uni] : ~mem(X0,X3,X1) | ~is_empty(X0,X1)))), 21.23/3.46 inference(ennf_transformation,[],[f111])). 21.23/3.46 tff(f111,plain,( 21.23/3.46 ! [X1 : uni,X0 : ty] : ((is_empty(X0,X1) => ! [X3 : uni] : ~mem(X0,X3,X1)) & (! [X2 : uni] : (sort1(X0,X2) => ~mem(X0,X2,X1)) => is_empty(X0,X1)))), 21.23/3.46 inference(rectify,[],[f37])). 21.23/3.46 tff(f37,axiom,( 21.23/3.46 ! [X0 : ty,X1 : uni] : ((! [X7 : uni] : (sort1(X0,X7) => ~mem(X0,X7,X1)) => is_empty(X0,X1)) & (is_empty(X0,X1) => ! [X7 : uni] : ~mem(X0,X7,X1)))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2772,plain,( 21.23/3.46 is_empty(vertex,t2tb(sK35)) | ~spl44_278), 21.23/3.46 inference(avatar_component_clause,[],[f2771])). 21.23/3.46 tff(f2771,plain,( 21.23/3.46 spl44_278 <=> is_empty(vertex,t2tb(sK35))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_278])])). 21.23/3.46 tff(f464,plain,( 21.23/3.46 mem(vertex,t2tb2(sK31),t2tb(sK35)) | ~spl44_15), 21.23/3.46 inference(avatar_component_clause,[],[f463])). 21.23/3.46 tff(f463,plain,( 21.23/3.46 spl44_15 <=> mem(vertex,t2tb2(sK31),t2tb(sK35))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_15])])). 21.23/3.46 tff(f2788,plain,( 21.23/3.46 spl44_281 | spl44_273), 21.23/3.46 inference(avatar_split_clause,[],[f2779,f2752,f2786])). 21.23/3.46 tff(f2779,plain,( 21.23/3.46 mem(vertex,sK8(vertex,empty(vertex),t2tb(sK35)),t2tb(sK35)) | spl44_273), 21.23/3.46 inference(resolution,[],[f2753,f290])). 21.23/3.46 tff(f2784,plain,( 21.23/3.46 spl44_280 | spl44_273), 21.23/3.46 inference(avatar_split_clause,[],[f2780,f2752,f2782])). 21.23/3.46 tff(f2780,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,empty(vertex),t2tb(sK35))) | spl44_273), 21.23/3.46 inference(resolution,[],[f2753,f289])). 21.23/3.46 tff(f2776,plain,( 21.23/3.46 spl44_278 | ~spl44_279 | ~spl44_267), 21.23/3.46 inference(avatar_split_clause,[],[f2738,f2717,f2774,f2771])). 21.23/3.46 tff(f2774,plain,( 21.23/3.46 spl44_279 <=> 0 = $sum(1,cardinal1(vertex,t2tb(sK27)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_279])])). 21.23/3.46 tff(f2717,plain,( 21.23/3.46 spl44_267 <=> $sum(1,cardinal1(vertex,t2tb(sK27))) = cardinal1(vertex,t2tb(sK35))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_267])])). 21.23/3.46 tff(f2738,plain,( 21.23/3.46 is_empty(vertex,t2tb(sK35)) | 0 != $sum(1,cardinal1(vertex,t2tb(sK27))) | ~spl44_267), 21.23/3.46 inference(superposition,[],[f227,f2718])). 21.23/3.46 tff(f2718,plain,( 21.23/3.46 $sum(1,cardinal1(vertex,t2tb(sK27))) = cardinal1(vertex,t2tb(sK35)) | ~spl44_267), 21.23/3.46 inference(avatar_component_clause,[],[f2717])). 21.23/3.46 tff(f227,plain,( 21.23/3.46 ( ! [X0 : ty,X1 : uni] : (cardinal1(X0,X1) != 0 | is_empty(X0,X1)) )), 21.23/3.46 inference(cnf_transformation,[],[f68])). 21.23/3.46 tff(f68,axiom,( 21.23/3.46 ! [X1 : uni,X0 : ty] : (is_empty(X0,X1) <=> cardinal1(X0,X1) = 0)), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2769,plain,( 21.23/3.46 ~spl44_277 | ~spl44_270 | ~spl44_153 | ~spl44_267), 21.23/3.46 inference(avatar_split_clause,[],[f2733,f2717,f1507,f2741,f2767])). 21.23/3.46 tff(f2741,plain,( 21.23/3.46 spl44_270 <=> $less(0,$sum(1,cardinal1(vertex,t2tb(sK27))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_270])])). 21.23/3.46 tff(f1507,plain,( 21.23/3.46 spl44_153 <=> 0 = cardinal1(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_153])])). 21.23/3.46 tff(f2733,plain,( 21.23/3.46 ~$less(0,$sum(1,cardinal1(vertex,t2tb(sK27)))) | ~subset(vertex,t2tb(sK35),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | (~spl44_153 | ~spl44_267)), 21.23/3.46 inference(superposition,[],[f1518,f2718])). 21.23/3.46 tff(f1518,plain,( 21.23/3.46 ( ! [X0 : uni] : (~$less(0,cardinal1(vertex,X0)) | ~subset(vertex,X0,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))))))) ) | ~spl44_153), 21.23/3.46 inference(superposition,[],[f240,f1508])). 21.23/3.46 tff(f1508,plain,( 21.23/3.46 0 = cardinal1(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | ~spl44_153), 21.23/3.46 inference(avatar_component_clause,[],[f1507])). 21.23/3.46 tff(f240,plain,( 21.23/3.46 ( ! [X2 : uni,X0 : uni,X1 : ty] : (~$less(cardinal1(X1,X2),cardinal1(X1,X0)) | ~subset(X1,X0,X2)) )), 21.23/3.46 inference(cnf_transformation,[],[f168])). 21.23/3.46 tff(f168,plain,( 21.23/3.46 ! [X1 : ty,X2 : uni,X0 : uni] : (~$less(cardinal1(X1,X2),cardinal1(X1,X0)) | ~subset(X1,X0,X2))), 21.23/3.46 inference(ennf_transformation,[],[f92])). 21.23/3.46 tff(f92,plain,( 21.23/3.46 ! [X2 : uni,X1 : ty,X0 : uni] : (subset(X1,X0,X2) => ~$less(cardinal1(X1,X2),cardinal1(X1,X0)))), 21.23/3.46 inference(rectify,[],[f80])). 21.23/3.46 tff(f80,plain,( 21.23/3.46 ! [X4 : uni,X0 : ty,X5 : uni] : (subset(X0,X4,X5) => ~$less(cardinal1(X0,X5),cardinal1(X0,X4)))), 21.23/3.46 inference(theory_normalization,[],[f30])). 21.23/3.46 tff(f30,axiom,( 21.23/3.46 ! [X4 : uni,X0 : ty,X5 : uni] : (subset(X0,X4,X5) => $lesseq(cardinal1(X0,X4),cardinal1(X0,X5)))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2765,plain,( 21.23/3.46 ~spl44_276 | ~spl44_270 | ~spl44_118 | ~spl44_267), 21.23/3.46 inference(avatar_split_clause,[],[f2732,f2717,f1234,f2741,f2763])). 21.23/3.46 tff(f1234,plain,( 21.23/3.46 spl44_118 <=> 0 = cardinal1(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_118])])). 21.23/3.46 tff(f2732,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK35),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | ~$less(0,$sum(1,cardinal1(vertex,t2tb(sK27)))) | (~spl44_118 | ~spl44_267)), 21.23/3.46 inference(superposition,[],[f1243,f2718])). 21.23/3.46 tff(f1243,plain,( 21.23/3.46 ( ! [X0 : uni] : (~$less(0,cardinal1(vertex,X0)) | ~subset(vertex,X0,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))))) ) | ~spl44_118), 21.23/3.46 inference(superposition,[],[f240,f1235])). 21.23/3.46 tff(f1235,plain,( 21.23/3.46 0 = cardinal1(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | ~spl44_118), 21.23/3.46 inference(avatar_component_clause,[],[f1234])). 21.23/3.46 tff(f2761,plain,( 21.23/3.46 ~spl44_274 | spl44_275 | ~spl44_267), 21.23/3.46 inference(avatar_split_clause,[],[f2734,f2717,f2759,f2756])). 21.23/3.46 tff(f2756,plain,( 21.23/3.46 spl44_274 <=> 1 = $sum(1,cardinal1(vertex,t2tb(sK27)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_274])])). 21.23/3.46 tff(f2759,plain,( 21.23/3.46 spl44_275 <=> ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK35)) | choose(vertex,t2tb(sK35)) = X0 | ~sort1(vertex,X0))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_275])])). 21.23/3.46 tff(f2734,plain,( 21.23/3.46 ( ! [X0 : uni] : (1 != $sum(1,cardinal1(vertex,t2tb(sK27))) | ~mem(vertex,X0,t2tb(sK35)) | ~sort1(vertex,X0) | choose(vertex,t2tb(sK35)) = X0) ) | ~spl44_267), 21.23/3.46 inference(superposition,[],[f277,f2718])). 21.23/3.46 tff(f277,plain,( 21.23/3.46 ( ! [X2 : uni,X0 : uni,X1 : ty] : (1 != cardinal1(X1,X0) | ~sort1(X1,X2) | ~mem(X1,X2,X0) | choose(X1,X0) = X2) )), 21.23/3.46 inference(cnf_transformation,[],[f191])). 21.23/3.46 tff(f191,plain,( 21.23/3.46 ! [X0 : uni,X1 : ty] : (1 != cardinal1(X1,X0) | ! [X2 : uni] : (choose(X1,X0) = X2 | ~mem(X1,X2,X0) | ~sort1(X1,X2)))), 21.23/3.46 inference(flattening,[],[f190])). 21.23/3.46 tff(f190,plain,( 21.23/3.46 ! [X1 : ty,X0 : uni] : (! [X2 : uni] : ((choose(X1,X0) = X2 | ~mem(X1,X2,X0)) | ~sort1(X1,X2)) | 1 != cardinal1(X1,X0))), 21.23/3.46 inference(ennf_transformation,[],[f157])). 21.23/3.46 tff(f157,plain,( 21.23/3.46 ! [X1 : ty,X0 : uni] : (1 = cardinal1(X1,X0) => ! [X2 : uni] : (sort1(X1,X2) => (mem(X1,X2,X0) => choose(X1,X0) = X2)))), 21.23/3.46 inference(rectify,[],[f19])). 21.23/3.46 tff(f19,axiom,( 21.23/3.46 ! [X1 : uni,X0 : ty] : (1 = cardinal1(X0,X1) => ! [X7 : uni] : (sort1(X0,X7) => (mem(X0,X7,X1) => choose(X0,X1) = X7)))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2754,plain,( 21.23/3.46 ~spl44_273 | ~spl44_270 | ~spl44_267), 21.23/3.46 inference(avatar_split_clause,[],[f2735,f2717,f2741,f2752])). 21.23/3.46 tff(f2735,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK35),empty(vertex)) | ~$less(0,$sum(1,cardinal1(vertex,t2tb(sK27)))) | ~spl44_267), 21.23/3.46 inference(superposition,[],[f1116,f2718])). 21.23/3.46 tff(f1116,plain,( 21.23/3.46 ( ! [X0 : ty,X1 : uni] : (~$less(0,cardinal1(X0,X1)) | ~subset(X0,X1,empty(X0))) )), 21.23/3.46 inference(superposition,[],[f240,f724])). 21.23/3.46 tff(f724,plain,( 21.23/3.46 ( ! [X0 : ty] : (0 = cardinal1(X0,empty(X0))) )), 21.23/3.46 inference(resolution,[],[f228,f286])). 21.23/3.46 tff(f286,plain,( 21.23/3.46 ( ! [X0 : ty] : (is_empty(X0,empty(X0))) )), 21.23/3.46 inference(cnf_transformation,[],[f38])). 21.23/3.46 tff(f38,axiom,( 21.23/3.46 ! [X0 : ty] : is_empty(X0,empty(X0))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f228,plain,( 21.23/3.46 ( ! [X0 : ty,X1 : uni] : (~is_empty(X0,X1) | cardinal1(X0,X1) = 0) )), 21.23/3.46 inference(cnf_transformation,[],[f68])). 21.23/3.46 tff(f2750,plain,( 21.23/3.46 ~spl44_272 | ~spl44_267), 21.23/3.46 inference(avatar_split_clause,[],[f2739,f2717,f2748])). 21.23/3.46 tff(f2748,plain,( 21.23/3.46 spl44_272 <=> $less($sum(1,cardinal1(vertex,t2tb(sK27))),0)), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_272])])). 21.23/3.46 tff(f2739,plain,( 21.23/3.46 ~$less($sum(1,cardinal1(vertex,t2tb(sK27))),0) | ~spl44_267), 21.23/3.46 inference(superposition,[],[f254,f2718])). 21.23/3.46 tff(f254,plain,( 21.23/3.46 ( ! [X0 : ty,X1 : uni] : (~$less(cardinal1(X0,X1),0)) )), 21.23/3.46 inference(cnf_transformation,[],[f88])). 21.23/3.46 tff(f88,plain,( 21.23/3.46 ! [X1 : uni,X0 : ty] : ~$less(cardinal1(X0,X1),0)), 21.23/3.46 inference(theory_normalization,[],[f69])). 21.23/3.46 tff(f69,axiom,( 21.23/3.46 ! [X0 : ty,X1 : uni] : $lesseq(0,cardinal1(X0,X1))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2746,plain,( 21.23/3.46 ~spl44_270 | ~spl44_271 | ~spl44_86 | ~spl44_267), 21.23/3.46 inference(avatar_split_clause,[],[f2731,f2717,f903,f2744,f2741])). 21.23/3.46 tff(f903,plain,( 21.23/3.46 spl44_86 <=> 0 = cardinal1(vertex,t2tb(sK16))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_86])])). 21.23/3.46 tff(f2731,plain,( 21.23/3.46 ~$less(0,$sum(1,cardinal1(vertex,t2tb(sK27)))) | ~subset(vertex,t2tb(sK35),t2tb(sK16)) | (~spl44_86 | ~spl44_267)), 21.23/3.46 inference(superposition,[],[f1117,f2718])). 21.23/3.46 tff(f1117,plain,( 21.23/3.46 ( ! [X0 : uni] : (~$less(0,cardinal1(vertex,X0)) | ~subset(vertex,X0,t2tb(sK16))) ) | ~spl44_86), 21.23/3.46 inference(superposition,[],[f240,f904])). 21.23/3.46 tff(f904,plain,( 21.23/3.46 0 = cardinal1(vertex,t2tb(sK16)) | ~spl44_86), 21.23/3.46 inference(avatar_component_clause,[],[f903])). 21.23/3.46 tff(f2728,plain,( 21.23/3.46 spl44_269 | ~spl44_79), 21.23/3.46 inference(avatar_split_clause,[],[f2708,f808,f2726])). 21.23/3.46 tff(f2726,plain,( 21.23/3.46 spl44_269 <=> subset(vertex,remove(vertex,t2tb2(sK31),t2tb(sK27)),add(vertex,t2tb2(sK31),t2tb(sK35)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_269])])). 21.23/3.46 tff(f2708,plain,( 21.23/3.46 subset(vertex,remove(vertex,t2tb2(sK31),t2tb(sK27)),add(vertex,t2tb2(sK31),t2tb(sK35))) | ~spl44_79), 21.23/3.46 inference(superposition,[],[f1310,f809])). 21.23/3.46 tff(f1310,plain,( 21.23/3.46 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,remove(X0,X1,X2),add(X0,X1,add(X0,X1,X2)))) )), 21.23/3.46 inference(superposition,[],[f1297,f255])). 21.23/3.46 tff(f255,plain,( 21.23/3.46 ( ! [X2 : uni,X0 : ty,X1 : uni] : (remove(X0,X2,X1) = remove(X0,X2,add(X0,X2,X1))) )), 21.23/3.46 inference(cnf_transformation,[],[f105])). 21.23/3.46 tff(f105,plain,( 21.23/3.46 ! [X0 : ty,X2 : uni,X1 : uni] : remove(X0,X2,X1) = remove(X0,X2,add(X0,X2,X1))), 21.23/3.46 inference(rectify,[],[f73])). 21.23/3.46 tff(f73,axiom,( 21.23/3.46 ! [X0 : ty,X1 : uni,X7 : uni] : remove(X0,X7,X1) = remove(X0,X7,add(X0,X7,X1))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f1297,plain,( 21.23/3.46 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,remove(X0,X1,X2),add(X0,X1,X2))) )), 21.23/3.46 inference(superposition,[],[f244,f255])). 21.23/3.46 tff(f244,plain,( 21.23/3.46 ( ! [X2 : uni,X0 : uni,X1 : ty] : (subset(X1,remove(X1,X0,X2),X2)) )), 21.23/3.46 inference(cnf_transformation,[],[f123])). 21.23/3.46 tff(f123,plain,( 21.23/3.46 ! [X2 : uni,X1 : ty,X0 : uni] : subset(X1,remove(X1,X0,X2),X2)), 21.23/3.46 inference(rectify,[],[f70])). 21.23/3.46 tff(f70,axiom,( 21.23/3.46 ! [X7 : uni,X0 : ty,X1 : uni] : subset(X0,remove(X0,X7,X1),X1)), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2723,plain,( 21.23/3.46 spl44_268 | ~spl44_79), 21.23/3.46 inference(avatar_split_clause,[],[f2704,f808,f2721])). 21.23/3.46 tff(f2721,plain,( 21.23/3.46 spl44_268 <=> remove(vertex,t2tb2(sK31),t2tb(sK27)) = remove(vertex,t2tb2(sK31),t2tb(sK35))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_268])])). 21.23/3.46 tff(f2704,plain,( 21.23/3.46 remove(vertex,t2tb2(sK31),t2tb(sK27)) = remove(vertex,t2tb2(sK31),t2tb(sK35)) | ~spl44_79), 21.23/3.46 inference(superposition,[],[f255,f809])). 21.23/3.46 tff(f2719,plain,( 21.23/3.46 spl44_267 | spl44_47 | ~spl44_79), 21.23/3.46 inference(avatar_split_clause,[],[f2715,f808,f609,f2717])). 21.23/3.46 tff(f2715,plain,( 21.23/3.46 $sum(1,cardinal1(vertex,t2tb(sK27))) = cardinal1(vertex,t2tb(sK35)) | (spl44_47 | ~spl44_79)), 21.23/3.46 inference(subsumption_resolution,[],[f2701,f610])). 21.23/3.46 tff(f2701,plain,( 21.23/3.46 mem(vertex,t2tb2(sK31),t2tb(sK27)) | $sum(1,cardinal1(vertex,t2tb(sK27))) = cardinal1(vertex,t2tb(sK35)) | ~spl44_79), 21.23/3.46 inference(superposition,[],[f223,f809])). 21.23/3.46 tff(f223,plain,( 21.23/3.46 ( ! [X2 : uni,X0 : uni,X1 : ty] : (cardinal1(X1,add(X1,X0,X2)) = $sum(1,cardinal1(X1,X2)) | mem(X1,X0,X2)) )), 21.23/3.46 inference(cnf_transformation,[],[f175])). 21.23/3.46 tff(f175,plain,( 21.23/3.46 ! [X0 : uni,X2 : uni,X1 : ty] : (cardinal1(X1,add(X1,X0,X2)) = $sum(1,cardinal1(X1,X2)) | mem(X1,X0,X2))), 21.23/3.46 inference(ennf_transformation,[],[f124])). 21.23/3.46 tff(f124,plain,( 21.23/3.46 ! [X2 : uni,X1 : ty,X0 : uni] : (~mem(X1,X0,X2) => cardinal1(X1,add(X1,X0,X2)) = $sum(1,cardinal1(X1,X2)))), 21.23/3.46 inference(rectify,[],[f4])). 21.23/3.46 tff(f4,axiom,( 21.23/3.46 ! [X7 : uni,X0 : ty,X1 : uni] : (~mem(X0,X7,X1) => cardinal1(X0,add(X0,X7,X1)) = $sum(1,cardinal1(X0,X1)))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2714,plain,( 21.23/3.46 spl44_266 | ~spl44_79), 21.23/3.46 inference(avatar_split_clause,[],[f2707,f808,f2712])). 21.23/3.46 tff(f2712,plain,( 21.23/3.46 spl44_266 <=> subset(vertex,remove(vertex,t2tb2(sK31),t2tb(sK27)),t2tb(sK35))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_266])])). 21.23/3.46 tff(f2707,plain,( 21.23/3.46 subset(vertex,remove(vertex,t2tb2(sK31),t2tb(sK27)),t2tb(sK35)) | ~spl44_79), 21.23/3.46 inference(superposition,[],[f1297,f809])). 21.23/3.46 tff(f2699,plain,( 21.23/3.46 spl44_265 | ~spl44_48), 21.23/3.46 inference(avatar_split_clause,[],[f2693,f617,f2697])). 21.23/3.46 tff(f2697,plain,( 21.23/3.46 spl44_265 <=> path1(sK12,sK40,tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK40))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_265])])). 21.23/3.46 tff(f2693,plain,( 21.23/3.46 path1(sK12,sK40,tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK40)))) | ~spl44_48), 21.23/3.46 inference(resolution,[],[f2690,f362])). 21.23/3.46 tff(f362,plain,( 21.23/3.46 ( ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK27)) | path1(sK12,X30,tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(X30))))) )), 21.23/3.46 inference(cnf_transformation,[],[f170])). 21.23/3.46 tff(f2692,plain,( 21.23/3.46 spl44_48 | ~spl44_83 | spl44_9 | ~spl44_35 | spl44_262), 21.23/3.46 inference(avatar_split_clause,[],[f2689,f2615,f542,f439,f844,f617])). 21.23/3.46 tff(f439,plain,( 21.23/3.46 spl44_9 <=> mem(vertex,t2tb2(sK40),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_9])])). 21.23/3.46 tff(f542,plain,( 21.23/3.46 spl44_35 <=> ! [X34 : vertex1] : (mem(vertex,t2tb2(X34),t2tb(sK28)) | mem(vertex,t2tb2(X34),t2tb(sK27)) | ~mem(vertex,t2tb2(X34),t2tb(g_succ1(sK22))) | mem(vertex,t2tb2(X34),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_35])])). 21.23/3.46 tff(f2615,plain,( 21.23/3.46 spl44_262 <=> mem(vertex,t2tb2(sK40),t2tb(sK28))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_262])])). 21.23/3.46 tff(f2689,plain,( 21.23/3.46 mem(vertex,t2tb2(sK40),t2tb(sK27)) | ~mem(vertex,t2tb2(sK40),t2tb(g_succ1(sK22))) | (spl44_9 | ~spl44_35 | spl44_262)), 21.23/3.46 inference(subsumption_resolution,[],[f2682,f440])). 21.23/3.46 tff(f440,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK40),t2tb(sK26)) | spl44_9), 21.23/3.46 inference(avatar_component_clause,[],[f439])). 21.23/3.46 tff(f2682,plain,( 21.23/3.46 mem(vertex,t2tb2(sK40),t2tb(sK26)) | ~mem(vertex,t2tb2(sK40),t2tb(g_succ1(sK22))) | mem(vertex,t2tb2(sK40),t2tb(sK27)) | (~spl44_35 | spl44_262)), 21.23/3.46 inference(resolution,[],[f543,f2616])). 21.23/3.46 tff(f2616,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK40),t2tb(sK28)) | spl44_262), 21.23/3.46 inference(avatar_component_clause,[],[f2615])). 21.23/3.46 tff(f543,plain,( 21.23/3.46 ( ! [X34 : vertex1] : (mem(vertex,t2tb2(X34),t2tb(sK28)) | mem(vertex,t2tb2(X34),t2tb(sK27)) | mem(vertex,t2tb2(X34),t2tb(sK26)) | ~mem(vertex,t2tb2(X34),t2tb(g_succ1(sK22)))) ) | ~spl44_35), 21.23/3.46 inference(avatar_component_clause,[],[f542])). 21.23/3.46 tff(f2673,plain,( 21.23/3.46 ~spl44_37 | spl44_261), 21.23/3.46 inference(avatar_contradiction_clause,[],[f2672])). 21.23/3.46 tff(f2672,plain,( 21.23/3.46 $false | (~spl44_37 | spl44_261)), 21.23/3.46 inference(subsumption_resolution,[],[f2667,f551])). 21.23/3.46 tff(f551,plain,( 21.23/3.46 mem(vertex,t2tb2(sK31),t2tb(sK28)) | ~spl44_37), 21.23/3.46 inference(avatar_component_clause,[],[f550])). 21.23/3.46 tff(f550,plain,( 21.23/3.46 spl44_37 <=> mem(vertex,t2tb2(sK31),t2tb(sK28))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_37])])). 21.23/3.46 tff(f2667,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK31),t2tb(sK28)) | spl44_261), 21.23/3.46 inference(resolution,[],[f2599,f365])). 21.23/3.46 tff(f365,plain,( 21.23/3.46 ( ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK22))) | ~mem(vertex,t2tb2(X31),t2tb(sK28))) )), 21.23/3.46 inference(cnf_transformation,[],[f170])). 21.23/3.46 tff(f2599,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK31),t2tb(g_succ1(sK22))) | spl44_261), 21.23/3.46 inference(avatar_component_clause,[],[f2598])). 21.23/3.46 tff(f2671,plain,( 21.23/3.46 ~spl44_37 | spl44_261), 21.23/3.46 inference(avatar_contradiction_clause,[],[f2670])). 21.23/3.46 tff(f2670,plain,( 21.23/3.46 $false | (~spl44_37 | spl44_261)), 21.23/3.46 inference(subsumption_resolution,[],[f2669,f551])). 21.23/3.46 tff(f2669,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK31),t2tb(sK28)) | spl44_261), 21.23/3.46 inference(subsumption_resolution,[],[f2668,f305])). 21.23/3.46 tff(f2668,plain,( 21.23/3.46 ~sort1(vertex,t2tb2(sK31)) | ~mem(vertex,t2tb2(sK31),t2tb(sK28)) | spl44_261), 21.23/3.46 inference(resolution,[],[f2599,f949])). 21.23/3.46 tff(f949,plain,( 21.23/3.46 ( ! [X0 : uni] : (mem(vertex,X0,t2tb(g_succ1(sK22))) | ~mem(vertex,X0,t2tb(sK28)) | ~sort1(vertex,X0)) )), 21.23/3.46 inference(superposition,[],[f872,f232])). 21.23/3.46 tff(f232,plain,( 21.23/3.46 ( ! [X0 : ty,X1 : uni] : (contents(X0,mk_ref(X0,X1)) = X1 | ~sort1(X0,X1)) )), 21.23/3.46 inference(cnf_transformation,[],[f195])). 21.23/3.46 tff(f195,plain,( 21.23/3.46 ! [X0 : ty,X1 : uni] : (contents(X0,mk_ref(X0,X1)) = X1 | ~sort1(X0,X1))), 21.23/3.46 inference(ennf_transformation,[],[f98])). 21.23/3.46 tff(f98,plain,( 21.23/3.46 ! [X1 : uni,X0 : ty] : (sort1(X0,X1) => contents(X0,mk_ref(X0,X1)) = X1)), 21.23/3.46 inference(rectify,[],[f16])). 21.23/3.46 tff(f16,axiom,( 21.23/3.46 ! [X0 : ty,X13 : uni] : (sort1(X0,X13) => contents(X0,mk_ref(X0,X13)) = X13)), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f872,plain,( 21.23/3.46 ( ! [X0 : uni] : (mem(vertex,contents(vertex,X0),t2tb(g_succ1(sK22))) | ~mem(vertex,contents(vertex,X0),t2tb(sK28))) )), 21.23/3.46 inference(superposition,[],[f365,f731])). 21.23/3.46 tff(f731,plain,( 21.23/3.46 ( ! [X0 : uni] : (contents(vertex,X0) = t2tb2(tb2t2(contents(vertex,X0)))) )), 21.23/3.46 inference(resolution,[],[f282,f309])). 21.23/3.46 tff(f309,plain,( 21.23/3.46 ( ! [X0 : ty,X1 : uni] : (sort1(X0,contents(X0,X1))) )), 21.23/3.46 inference(cnf_transformation,[],[f156])). 21.23/3.46 tff(f156,plain,( 21.23/3.46 ! [X0 : ty,X1 : uni] : sort1(X0,contents(X0,X1))), 21.23/3.46 inference(rectify,[],[f33])). 21.23/3.46 tff(f33,axiom,( 21.23/3.46 ! [X0 : ty,X7 : uni] : sort1(X0,contents(X0,X7))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2655,plain,( 21.23/3.46 spl44_21 | ~spl44_78), 21.23/3.46 inference(avatar_split_clause,[],[f2654,f803,f486])). 21.23/3.46 tff(f486,plain,( 21.23/3.46 spl44_21 <=> mem(vertex,t2tb2(sK22),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_21])])). 21.23/3.46 tff(f803,plain,( 21.23/3.46 spl44_78 <=> t2tb(sK26) = add(vertex,t2tb2(sK22),t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_78])])). 21.23/3.46 tff(f2654,plain,( 21.23/3.46 mem(vertex,t2tb2(sK22),t2tb(sK26)) | ~spl44_78), 21.23/3.46 inference(subsumption_resolution,[],[f1061,f305])). 21.23/3.46 tff(f1061,plain,( 21.23/3.46 mem(vertex,t2tb2(sK22),t2tb(sK26)) | ~sort1(vertex,t2tb2(sK22)) | ~spl44_78), 21.23/3.46 inference(superposition,[],[f409,f804])). 21.23/3.46 tff(f804,plain,( 21.23/3.46 t2tb(sK26) = add(vertex,t2tb2(sK22),t2tb(sK19)) | ~spl44_78), 21.23/3.46 inference(avatar_component_clause,[],[f803])). 21.23/3.46 tff(f409,plain,( 21.23/3.46 ( ! [X2 : ty,X3 : uni,X1 : uni] : (mem(X2,X1,add(X2,X1,X3)) | ~sort1(X2,X1)) )), 21.23/3.46 inference(duplicate_literal_removal,[],[f404])). 21.23/3.46 tff(f404,plain,( 21.23/3.46 ( ! [X2 : ty,X3 : uni,X1 : uni] : (mem(X2,X1,add(X2,X1,X3)) | ~sort1(X2,X1) | ~sort1(X2,X1)) )), 21.23/3.46 inference(equality_resolution,[],[f237])). 21.23/3.46 tff(f237,plain,( 21.23/3.46 ( ! [X2 : ty,X3 : uni,X0 : uni,X1 : uni] : (X0 != X1 | mem(X2,X0,add(X2,X1,X3)) | ~sort1(X2,X1) | ~sort1(X2,X0)) )), 21.23/3.46 inference(cnf_transformation,[],[f177])). 21.23/3.46 tff(f2649,plain,( 21.23/3.46 spl44_9 | ~spl44_35 | spl44_48 | ~spl44_83 | spl44_262), 21.23/3.46 inference(avatar_contradiction_clause,[],[f2648])). 21.23/3.46 tff(f2648,plain,( 21.23/3.46 $false | (spl44_9 | ~spl44_35 | spl44_48 | ~spl44_83 | spl44_262)), 21.23/3.46 inference(subsumption_resolution,[],[f2647,f440])). 21.23/3.46 tff(f2647,plain,( 21.23/3.46 mem(vertex,t2tb2(sK40),t2tb(sK26)) | (~spl44_35 | spl44_48 | ~spl44_83 | spl44_262)), 21.23/3.46 inference(subsumption_resolution,[],[f2646,f618])). 21.23/3.46 tff(f618,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK40),t2tb(sK27)) | spl44_48), 21.23/3.46 inference(avatar_component_clause,[],[f617])). 21.23/3.46 tff(f2646,plain,( 21.23/3.46 mem(vertex,t2tb2(sK40),t2tb(sK27)) | mem(vertex,t2tb2(sK40),t2tb(sK26)) | (~spl44_35 | ~spl44_83 | spl44_262)), 21.23/3.46 inference(subsumption_resolution,[],[f2645,f305])). 21.23/3.46 tff(f2645,plain,( 21.23/3.46 ~sort1(vertex,t2tb2(sK40)) | mem(vertex,t2tb2(sK40),t2tb(sK27)) | mem(vertex,t2tb2(sK40),t2tb(sK26)) | (~spl44_35 | ~spl44_83 | spl44_262)), 21.23/3.46 inference(subsumption_resolution,[],[f2635,f845])). 21.23/3.46 tff(f2635,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK40),t2tb(g_succ1(sK22))) | ~sort1(vertex,t2tb2(sK40)) | mem(vertex,t2tb2(sK40),t2tb(sK26)) | mem(vertex,t2tb2(sK40),t2tb(sK27)) | (~spl44_35 | spl44_262)), 21.23/3.46 inference(resolution,[],[f2616,f956])). 21.23/3.46 tff(f956,plain,( 21.23/3.46 ( ! [X0 : uni] : (mem(vertex,X0,t2tb(sK28)) | mem(vertex,X0,t2tb(sK27)) | ~mem(vertex,X0,t2tb(g_succ1(sK22))) | mem(vertex,X0,t2tb(sK26)) | ~sort1(vertex,X0)) ) | ~spl44_35), 21.23/3.46 inference(superposition,[],[f879,f232])). 21.23/3.46 tff(f879,plain,( 21.23/3.46 ( ! [X0 : uni] : (mem(vertex,contents(vertex,X0),t2tb(sK28)) | ~mem(vertex,contents(vertex,X0),t2tb(g_succ1(sK22))) | mem(vertex,contents(vertex,X0),t2tb(sK27)) | mem(vertex,contents(vertex,X0),t2tb(sK26))) ) | ~spl44_35), 21.23/3.46 inference(superposition,[],[f543,f731])). 21.23/3.46 tff(f2644,plain,( 21.23/3.46 spl44_9 | ~spl44_35 | spl44_48 | ~spl44_83 | spl44_262), 21.23/3.46 inference(avatar_contradiction_clause,[],[f2643])). 21.23/3.46 tff(f2643,plain,( 21.23/3.46 $false | (spl44_9 | ~spl44_35 | spl44_48 | ~spl44_83 | spl44_262)), 21.23/3.46 inference(subsumption_resolution,[],[f2642,f440])). 21.23/3.46 tff(f2642,plain,( 21.23/3.46 mem(vertex,t2tb2(sK40),t2tb(sK26)) | (~spl44_35 | spl44_48 | ~spl44_83 | spl44_262)), 21.23/3.46 inference(subsumption_resolution,[],[f2641,f845])). 21.23/3.46 tff(f2641,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK40),t2tb(g_succ1(sK22))) | mem(vertex,t2tb2(sK40),t2tb(sK26)) | (~spl44_35 | spl44_48 | spl44_262)), 21.23/3.46 inference(subsumption_resolution,[],[f2632,f618])). 21.23/3.46 tff(f2632,plain,( 21.23/3.46 mem(vertex,t2tb2(sK40),t2tb(sK27)) | ~mem(vertex,t2tb2(sK40),t2tb(g_succ1(sK22))) | mem(vertex,t2tb2(sK40),t2tb(sK26)) | (~spl44_35 | spl44_262)), 21.23/3.46 inference(resolution,[],[f2616,f543])). 21.23/3.46 tff(f2640,plain,( 21.23/3.46 ~spl44_264 | ~spl44_20 | ~spl44_83 | spl44_262), 21.23/3.46 inference(avatar_split_clause,[],[f2636,f2615,f844,f483,f2638])). 21.23/3.46 tff(f483,plain,( 21.23/3.46 spl44_20 <=> ! [X34 : vertex1] : (~mem(vertex,t2tb2(X34),t2tb(g_succ1(sK22))) | ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,X34)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(X34)))) | mem(vertex,t2tb2(X34),t2tb(sK28)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_20])])). 21.23/3.46 tff(f2636,plain,( 21.23/3.46 ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK40)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK40)))) | (~spl44_20 | ~spl44_83 | spl44_262)), 21.23/3.46 inference(subsumption_resolution,[],[f2633,f845])). 21.23/3.46 tff(f2633,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK40),t2tb(g_succ1(sK22))) | ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK40)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK40)))) | (~spl44_20 | spl44_262)), 21.23/3.46 inference(resolution,[],[f2616,f484])). 21.23/3.46 tff(f484,plain,( 21.23/3.46 ( ! [X34 : vertex1] : (mem(vertex,t2tb2(X34),t2tb(sK28)) | ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,X34)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(X34)))) | ~mem(vertex,t2tb2(X34),t2tb(g_succ1(sK22)))) ) | ~spl44_20), 21.23/3.46 inference(avatar_component_clause,[],[f483])). 21.23/3.46 tff(f2620,plain,( 21.23/3.46 ~spl44_262 | spl44_263 | spl44_84), 21.23/3.46 inference(avatar_split_clause,[],[f2613,f851,f2618,f2615])). 21.23/3.46 tff(f2613,plain,( 21.23/3.46 t2tb2(sK40) = t2tb2(sK31) | ~mem(vertex,t2tb2(sK40),t2tb(sK28)) | spl44_84), 21.23/3.46 inference(subsumption_resolution,[],[f2612,f305])). 21.23/3.46 tff(f2612,plain,( 21.23/3.46 ~sort1(vertex,t2tb2(sK31)) | ~mem(vertex,t2tb2(sK40),t2tb(sK28)) | t2tb2(sK40) = t2tb2(sK31) | spl44_84), 21.23/3.46 inference(subsumption_resolution,[],[f2605,f305])). 21.23/3.46 tff(f2605,plain,( 21.23/3.46 t2tb2(sK40) = t2tb2(sK31) | ~mem(vertex,t2tb2(sK40),t2tb(sK28)) | ~sort1(vertex,t2tb2(sK40)) | ~sort1(vertex,t2tb2(sK31)) | spl44_84), 21.23/3.46 inference(resolution,[],[f235,f852])). 21.23/3.46 tff(f235,plain,( 21.23/3.46 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X1,remove(X0,X2,X3)) | X1 = X2 | ~mem(X0,X1,X3) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 21.23/3.46 inference(cnf_transformation,[],[f198])). 21.23/3.46 tff(f198,plain,( 21.23/3.46 ! [X3 : uni,X1 : uni,X0 : ty,X2 : uni] : (~sort1(X0,X2) | (mem(X0,X1,remove(X0,X2,X3)) <=> (mem(X0,X1,X3) & X1 != X2)) | ~sort1(X0,X1))), 21.23/3.46 inference(flattening,[],[f197])). 21.23/3.46 tff(f197,plain,( 21.23/3.46 ! [X2 : uni,X0 : ty,X3 : uni,X1 : uni] : (((mem(X0,X1,remove(X0,X2,X3)) <=> (mem(X0,X1,X3) & X1 != X2)) | ~sort1(X0,X2)) | ~sort1(X0,X1))), 21.23/3.46 inference(ennf_transformation,[],[f140])). 21.23/3.46 tff(f140,plain,( 21.23/3.46 ! [X2 : uni,X0 : ty,X3 : uni,X1 : uni] : (sort1(X0,X1) => (sort1(X0,X2) => (mem(X0,X1,remove(X0,X2,X3)) <=> (mem(X0,X1,X3) & X1 != X2))))), 21.23/3.46 inference(rectify,[],[f77])). 21.23/3.46 tff(f77,axiom,( 21.23/3.46 ! [X0 : ty,X7 : uni,X14 : uni,X1 : uni] : (sort1(X0,X7) => (sort1(X0,X14) => ((mem(X0,X7,X1) & X7 != X14) <=> mem(X0,X7,remove(X0,X14,X1)))))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2600,plain,( 21.23/3.46 spl44_260 | ~spl44_261 | ~spl44_159), 21.23/3.46 inference(avatar_split_clause,[],[f2593,f1699,f2598,f2595])). 21.23/3.46 tff(f2595,plain,( 21.23/3.46 spl44_260 <=> ! [X0 : vertex1] : (~path1(X0,sK22,tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22)))) | path1(X0,sK31,tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31)))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_260])])). 21.23/3.46 tff(f1699,plain,( 21.23/3.46 spl44_159 <=> $sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)) = tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_159])])). 21.23/3.46 tff(f2593,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (~path1(X0,sK22,tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22)))) | ~mem(vertex,t2tb2(sK31),t2tb(g_succ1(sK22))) | path1(X0,sK31,tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31))))) ) | ~spl44_159), 21.23/3.46 inference(superposition,[],[f295,f1700])). 21.23/3.46 tff(f1700,plain,( 21.23/3.46 $sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)) = tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31))) | ~spl44_159), 21.23/3.46 inference(avatar_component_clause,[],[f1699])). 21.23/3.46 tff(f295,plain,( 21.23/3.46 ( ! [X2 : vertex1,X3 : vertex1,X0 : $int,X1 : vertex1] : (path1(X1,X2,$sum(X0,weight1(X3,X2))) | ~path1(X1,X3,X0) | ~mem(vertex,t2tb2(X2),t2tb(g_succ1(X3)))) )), 21.23/3.46 inference(cnf_transformation,[],[f193])). 21.23/3.46 tff(f193,plain,( 21.23/3.46 ! [X1 : vertex1,X0 : $int,X3 : vertex1,X2 : vertex1] : (~mem(vertex,t2tb2(X2),t2tb(g_succ1(X3))) | ~path1(X1,X3,X0) | path1(X1,X2,$sum(X0,weight1(X3,X2))))), 21.23/3.46 inference(flattening,[],[f192])). 21.23/3.46 tff(f192,plain,( 21.23/3.46 ! [X2 : vertex1,X3 : vertex1,X0 : $int,X1 : vertex1] : ((path1(X1,X2,$sum(X0,weight1(X3,X2))) | ~mem(vertex,t2tb2(X2),t2tb(g_succ1(X3)))) | ~path1(X1,X3,X0))), 21.23/3.46 inference(ennf_transformation,[],[f115])). 21.23/3.46 tff(f115,plain,( 21.23/3.46 ! [X2 : vertex1,X3 : vertex1,X0 : $int,X1 : vertex1] : (path1(X1,X3,X0) => (mem(vertex,t2tb2(X2),t2tb(g_succ1(X3))) => path1(X1,X2,$sum(X0,weight1(X3,X2)))))), 21.23/3.46 inference(rectify,[],[f17])). 21.23/3.46 tff(f17,axiom,( 21.23/3.46 ! [X11 : $int,X7 : vertex1,X2 : vertex1,X14 : vertex1] : (path1(X7,X14,X11) => (mem(vertex,t2tb2(X2),t2tb(g_succ1(X14))) => path1(X7,X2,$sum(X11,weight1(X14,X2)))))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2592,plain,( 21.23/3.46 spl44_259 | spl44_258 | ~spl44_185 | ~spl44_186), 21.23/3.46 inference(avatar_split_clause,[],[f2582,f1970,f1966,f2585,f2588])). 21.23/3.46 tff(f2588,plain,( 21.23/3.46 spl44_259 <=> sK22 = tb2t2(sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_259])])). 21.23/3.46 tff(f2585,plain,( 21.23/3.46 spl44_258 <=> ! [X0 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)))))) | mem(vertex,t2tb2(X0),t2tb(sK26)) | mem(vertex,t2tb2(X0),t2tb(sK27)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_258])])). 21.23/3.46 tff(f1970,plain,( 21.23/3.46 spl44_186 <=> mem(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_186])])). 21.23/3.46 tff(f2582,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)))))) | ~sort1(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26))) | mem(vertex,t2tb2(X0),t2tb(sK26)) | sK22 = tb2t2(sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26))) | mem(vertex,t2tb2(X0),t2tb(sK27))) ) | ~spl44_186), 21.23/3.46 inference(resolution,[],[f1971,f1147])). 21.23/3.46 tff(f1147,plain,( 21.23/3.46 ( ! [X0 : uni,X1 : vertex1] : (~mem(vertex,X0,t2tb(sK26)) | tb2t2(X0) = sK22 | ~sort1(vertex,X0) | mem(vertex,t2tb2(X1),t2tb(sK26)) | mem(vertex,t2tb2(X1),t2tb(sK27)) | ~mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(X0))))) )), 21.23/3.46 inference(superposition,[],[f868,f232])). 21.23/3.46 tff(f868,plain,( 21.23/3.46 ( ! [X0 : uni,X1 : vertex1] : (~mem(vertex,contents(vertex,X0),t2tb(sK26)) | sK22 = tb2t2(contents(vertex,X0)) | ~mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(contents(vertex,X0))))) | mem(vertex,t2tb2(X1),t2tb(sK26)) | mem(vertex,t2tb2(X1),t2tb(sK27))) )), 21.23/3.46 inference(superposition,[],[f352,f731])). 21.23/3.46 tff(f352,plain,( 21.23/3.46 ( ! [X34 : vertex1,X33 : vertex1] : (~mem(vertex,t2tb2(X33),t2tb(sK26)) | sK22 = X33 | mem(vertex,t2tb2(X34),t2tb(sK26)) | ~mem(vertex,t2tb2(X34),t2tb(g_succ1(X33))) | mem(vertex,t2tb2(X34),t2tb(sK27))) )), 21.23/3.46 inference(cnf_transformation,[],[f170])). 21.23/3.46 tff(f1971,plain,( 21.23/3.46 mem(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)),t2tb(sK26)) | ~spl44_186), 21.23/3.46 inference(avatar_component_clause,[],[f1970])). 21.23/3.46 tff(f2590,plain,( 21.23/3.46 spl44_258 | spl44_259 | ~spl44_185 | ~spl44_186), 21.23/3.46 inference(avatar_split_clause,[],[f2583,f1970,f1966,f2588,f2585])). 21.23/3.46 tff(f2583,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)))))) | sK22 = tb2t2(sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | mem(vertex,t2tb2(X0),t2tb(sK26))) ) | (~spl44_185 | ~spl44_186)), 21.23/3.46 inference(subsumption_resolution,[],[f2582,f1967])). 21.23/3.46 tff(f1967,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26))) | ~spl44_185), 21.23/3.46 inference(avatar_component_clause,[],[f1966])). 21.23/3.46 tff(f2581,plain,( 21.23/3.46 spl44_257 | ~spl44_255), 21.23/3.46 inference(avatar_split_clause,[],[f2577,f2567,f2579])). 21.23/3.46 tff(f2579,plain,( 21.23/3.46 spl44_257 <=> sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(v1)) = t2tb2(tb2t2(sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(v1))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_257])])). 21.23/3.46 tff(f2567,plain,( 21.23/3.46 spl44_255 <=> sort1(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(v1)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_255])])). 21.23/3.46 tff(f2577,plain,( 21.23/3.46 sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(v1)) = t2tb2(tb2t2(sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(v1)))) | ~spl44_255), 21.23/3.46 inference(resolution,[],[f2568,f282])). 21.23/3.46 tff(f2568,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(v1))) | ~spl44_255), 21.23/3.46 inference(avatar_component_clause,[],[f2567])). 21.23/3.46 tff(f2573,plain,( 21.23/3.46 spl44_256 | spl44_254), 21.23/3.46 inference(avatar_split_clause,[],[f2564,f2559,f2571])). 21.23/3.46 tff(f2571,plain,( 21.23/3.46 spl44_256 <=> mem(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(v1)),t2tb(v1))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_256])])). 21.23/3.46 tff(f2559,plain,( 21.23/3.46 spl44_254 <=> subset(vertex,t2tb(v1),remove(vertex,t2tb2(sK22),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_254])])). 21.23/3.46 tff(f2564,plain,( 21.23/3.46 mem(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(v1)),t2tb(v1)) | spl44_254), 21.23/3.46 inference(resolution,[],[f2560,f290])). 21.23/3.46 tff(f2560,plain,( 21.23/3.46 ~subset(vertex,t2tb(v1),remove(vertex,t2tb2(sK22),t2tb(sK26))) | spl44_254), 21.23/3.46 inference(avatar_component_clause,[],[f2559])). 21.23/3.46 tff(f2569,plain,( 21.23/3.46 spl44_255 | spl44_254), 21.23/3.46 inference(avatar_split_clause,[],[f2565,f2559,f2567])). 21.23/3.46 tff(f2565,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(v1))) | spl44_254), 21.23/3.46 inference(resolution,[],[f2560,f289])). 21.23/3.46 tff(f2561,plain,( 21.23/3.46 ~spl44_254 | ~spl44_11 | spl44_165), 21.23/3.46 inference(avatar_split_clause,[],[f2552,f1773,f447,f2559])). 21.23/3.46 tff(f447,plain,( 21.23/3.46 spl44_11 <=> subset(vertex,t2tb(sK26),t2tb(v1))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_11])])). 21.23/3.46 tff(f1773,plain,( 21.23/3.46 spl44_165 <=> subset(vertex,t2tb(sK26),remove(vertex,t2tb2(sK22),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_165])])). 21.23/3.46 tff(f2552,plain,( 21.23/3.46 ~subset(vertex,t2tb(v1),remove(vertex,t2tb2(sK22),t2tb(sK26))) | (~spl44_11 | spl44_165)), 21.23/3.46 inference(resolution,[],[f1961,f448])). 21.23/3.46 tff(f448,plain,( 21.23/3.46 subset(vertex,t2tb(sK26),t2tb(v1)) | ~spl44_11), 21.23/3.46 inference(avatar_component_clause,[],[f447])). 21.23/3.46 tff(f1961,plain,( 21.23/3.46 ( ! [X0 : uni] : (~subset(vertex,t2tb(sK26),X0) | ~subset(vertex,X0,remove(vertex,t2tb2(sK22),t2tb(sK26)))) ) | spl44_165), 21.23/3.46 inference(resolution,[],[f1774,f256])). 21.23/3.46 tff(f1774,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),remove(vertex,t2tb2(sK22),t2tb(sK26))) | spl44_165), 21.23/3.46 inference(avatar_component_clause,[],[f1773])). 21.23/3.46 tff(f2532,plain,( 21.23/3.46 ~spl44_250 | spl44_249 | ~spl44_244), 21.23/3.46 inference(avatar_split_clause,[],[f2531,f2458,f2513,f2516])). 21.23/3.46 tff(f2516,plain,( 21.23/3.46 spl44_250 <=> mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK27))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_250])])). 21.23/3.46 tff(f2513,plain,( 21.23/3.46 spl44_249 <=> path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_249])])). 21.23/3.46 tff(f2458,plain,( 21.23/3.46 spl44_244 <=> sK22 = tb2t2(choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_244])])). 21.23/3.46 tff(f2531,plain,( 21.23/3.46 path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | ~mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK27)) | ~spl44_244), 21.23/3.46 inference(subsumption_resolution,[],[f2496,f288])). 21.23/3.46 tff(f288,plain,( 21.23/3.46 ( ! [X0 : ty,X1 : uni] : (sort1(X0,choose(X0,X1))) )), 21.23/3.46 inference(cnf_transformation,[],[f143])). 21.23/3.46 tff(f143,plain,( 21.23/3.46 ! [X0 : ty,X1 : uni] : sort1(X0,choose(X0,X1))), 21.23/3.46 inference(rectify,[],[f13])). 21.23/3.46 tff(f13,axiom,( 21.23/3.46 ! [X0 : ty,X7 : uni] : sort1(X0,choose(X0,X7))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2496,plain,( 21.23/3.46 ~sort1(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | ~mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK27)) | ~spl44_244), 21.23/3.46 inference(superposition,[],[f948,f2459])). 21.23/3.46 tff(f2459,plain,( 21.23/3.46 sK22 = tb2t2(choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | ~spl44_244), 21.23/3.46 inference(avatar_component_clause,[],[f2458])). 21.23/3.46 tff(f948,plain,( 21.23/3.46 ( ! [X0 : uni] : (path1(sK12,tb2t2(X0),tb2t3(get(int,vertex,t2tb1(sK29),X0))) | ~mem(vertex,X0,t2tb(sK27)) | ~sort1(vertex,X0)) )), 21.23/3.46 inference(superposition,[],[f871,f232])). 21.23/3.46 tff(f871,plain,( 21.23/3.46 ( ! [X0 : uni] : (path1(sK12,tb2t2(contents(vertex,X0)),tb2t3(get(int,vertex,t2tb1(sK29),contents(vertex,X0)))) | ~mem(vertex,contents(vertex,X0),t2tb(sK27))) )), 21.23/3.46 inference(superposition,[],[f362,f731])). 21.23/3.46 tff(f2528,plain,( 21.23/3.46 ~spl44_251 | spl44_252 | ~spl44_253 | ~spl44_20 | ~spl44_244), 21.23/3.46 inference(avatar_split_clause,[],[f2492,f2458,f483,f2526,f2523,f2520])). 21.23/3.46 tff(f2520,plain,( 21.23/3.46 spl44_251 <=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK22)),tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_251])])). 21.23/3.46 tff(f2523,plain,( 21.23/3.46 spl44_252 <=> mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK28))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_252])])). 21.23/3.46 tff(f2526,plain,( 21.23/3.46 spl44_253 <=> mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(g_succ1(sK22)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_253])])). 21.23/3.46 tff(f2492,plain,( 21.23/3.46 ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK22)),tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | ~mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(g_succ1(sK22))) | mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK28)) | (~spl44_20 | ~spl44_244)), 21.23/3.46 inference(superposition,[],[f932,f2459])). 21.23/3.46 tff(f932,plain,( 21.23/3.46 ( ! [X0 : uni] : (~$less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,tb2t2(choose(vertex,X0)))),tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,X0)))) | mem(vertex,choose(vertex,X0),t2tb(sK28)) | ~mem(vertex,choose(vertex,X0),t2tb(g_succ1(sK22)))) ) | ~spl44_20), 21.23/3.46 inference(superposition,[],[f484,f732])). 21.23/3.46 tff(f732,plain,( 21.23/3.46 ( ! [X0 : uni] : (choose(vertex,X0) = t2tb2(tb2t2(choose(vertex,X0)))) )), 21.23/3.46 inference(resolution,[],[f282,f288])). 21.23/3.46 tff(f2518,plain,( 21.23/3.46 spl44_249 | ~spl44_250 | ~spl44_244), 21.23/3.46 inference(avatar_split_clause,[],[f2489,f2458,f2516,f2513])). 21.23/3.46 tff(f2489,plain,( 21.23/3.46 path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | ~mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK27)) | ~spl44_244), 21.23/3.46 inference(superposition,[],[f886,f2459])). 21.23/3.46 tff(f886,plain,( 21.23/3.46 ( ! [X0 : uni] : (path1(sK12,tb2t2(choose(vertex,X0)),tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,X0)))) | ~mem(vertex,choose(vertex,X0),t2tb(sK27))) )), 21.23/3.46 inference(superposition,[],[f362,f732])). 21.23/3.46 tff(f2511,plain,( 21.23/3.46 spl44_248 | ~spl44_235 | ~spl44_244), 21.23/3.46 inference(avatar_split_clause,[],[f2507,f2458,f2395,f2509])). 21.23/3.46 tff(f2509,plain,( 21.23/3.46 spl44_248 <=> shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_248])])). 21.23/3.46 tff(f2395,plain,( 21.23/3.46 spl44_235 <=> mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_235])])). 21.23/3.46 tff(f2507,plain,( 21.23/3.46 shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | (~spl44_235 | ~spl44_244)), 21.23/3.46 inference(subsumption_resolution,[],[f2488,f2396])). 21.23/3.46 tff(f2396,plain,( 21.23/3.46 mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK26)) | ~spl44_235), 21.23/3.46 inference(avatar_component_clause,[],[f2395])). 21.23/3.46 tff(f2488,plain,( 21.23/3.46 shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | ~mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK26)) | ~spl44_244), 21.23/3.46 inference(superposition,[],[f885,f2459])). 21.23/3.46 tff(f885,plain,( 21.23/3.46 ( ! [X0 : uni] : (shortest_path1(sK12,tb2t2(choose(vertex,X0)),tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,X0)))) | ~mem(vertex,choose(vertex,X0),t2tb(sK26))) )), 21.23/3.46 inference(superposition,[],[f361,f732])). 21.23/3.46 tff(f361,plain,( 21.23/3.46 ( ! [X35 : vertex1] : (shortest_path1(sK12,X35,tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(X35)))) | ~mem(vertex,t2tb2(X35),t2tb(sK26))) )), 21.23/3.46 inference(cnf_transformation,[],[f170])). 21.23/3.46 tff(f2506,plain,( 21.23/3.46 spl44_247 | ~spl44_244), 21.23/3.46 inference(avatar_split_clause,[],[f2487,f2458,f2504])). 21.23/3.46 tff(f2504,plain,( 21.23/3.46 spl44_247 <=> t2tb2(sK22) = choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_247])])). 21.23/3.46 tff(f2487,plain,( 21.23/3.46 t2tb2(sK22) = choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))) | ~spl44_244), 21.23/3.46 inference(superposition,[],[f732,f2459])). 21.23/3.46 tff(f2502,plain,( 21.23/3.46 spl44_246 | ~spl44_231 | ~spl44_244), 21.23/3.46 inference(avatar_split_clause,[],[f2498,f2458,f2371,f2500])). 21.23/3.46 tff(f2500,plain,( 21.23/3.46 spl44_246 <=> shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_246])])). 21.23/3.46 tff(f2371,plain,( 21.23/3.46 spl44_231 <=> mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_231])])). 21.23/3.46 tff(f2498,plain,( 21.23/3.46 shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | (~spl44_231 | ~spl44_244)), 21.23/3.46 inference(subsumption_resolution,[],[f2491,f2372])). 21.23/3.46 tff(f2372,plain,( 21.23/3.46 mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK19)) | ~spl44_231), 21.23/3.46 inference(avatar_component_clause,[],[f2371])). 21.23/3.46 tff(f2491,plain,( 21.23/3.46 ~mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK19)) | shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | ~spl44_244), 21.23/3.46 inference(superposition,[],[f892,f2459])). 21.23/3.46 tff(f892,plain,( 21.23/3.46 ( ! [X0 : uni] : (shortest_path1(sK12,tb2t2(choose(vertex,X0)),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,X0)))) | ~mem(vertex,choose(vertex,X0),t2tb(sK19))) )), 21.23/3.46 inference(superposition,[],[f386,f732])). 21.23/3.46 tff(f2463,plain,( 21.23/3.46 spl44_244 | spl44_245 | ~spl44_235), 21.23/3.46 inference(avatar_split_clause,[],[f2456,f2395,f2461,f2458])). 21.23/3.46 tff(f2461,plain,( 21.23/3.46 spl44_245 <=> ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK27)) | mem(vertex,t2tb2(X0),t2tb(sK26)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_245])])). 21.23/3.46 tff(f2456,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (sK22 = tb2t2(choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))))) | mem(vertex,t2tb2(X0),t2tb(sK26))) ) | ~spl44_235), 21.23/3.46 inference(subsumption_resolution,[],[f2455,f288])). 21.23/3.46 tff(f2455,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK26)) | ~sort1(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | sK22 = tb2t2(choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))))) | mem(vertex,t2tb2(X0),t2tb(sK27))) ) | ~spl44_235), 21.23/3.46 inference(resolution,[],[f2396,f1147])). 21.23/3.46 tff(f2454,plain,( 21.23/3.46 spl44_242 | spl44_238 | ~spl44_234 | ~spl44_237), 21.23/3.46 inference(avatar_split_clause,[],[f2453,f2407,f2384,f2410,f2445])). 21.23/3.46 tff(f2445,plain,( 21.23/3.46 spl44_242 <=> shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_242])])). 21.23/3.46 tff(f2410,plain,( 21.23/3.46 spl44_238 <=> ! [X1 : uni] : ~mem(vertex,X1,remove(vertex,t2tb2(sK22),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_238])])). 21.23/3.46 tff(f2384,plain,( 21.23/3.46 spl44_234 <=> mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_234])])). 21.23/3.46 tff(f2407,plain,( 21.23/3.46 spl44_237 <=> sK22 = tb2t2(sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_237])])). 21.23/3.46 tff(f2453,plain,( 21.23/3.46 ( ! [X0 : uni] : (shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | ~mem(vertex,X0,remove(vertex,t2tb2(sK22),t2tb(sK26)))) ) | (~spl44_234 | ~spl44_237)), 21.23/3.46 inference(subsumption_resolution,[],[f2432,f2385])). 21.23/3.46 tff(f2385,plain,( 21.23/3.46 mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK26)) | ~spl44_234), 21.23/3.46 inference(avatar_component_clause,[],[f2384])). 21.23/3.46 tff(f2432,plain,( 21.23/3.46 ( ! [X0 : uni] : (shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | ~mem(vertex,X0,remove(vertex,t2tb2(sK22),t2tb(sK26))) | ~mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK26))) ) | ~spl44_237), 21.23/3.46 inference(superposition,[],[f1638,f2408])). 21.23/3.46 tff(f2408,plain,( 21.23/3.46 sK22 = tb2t2(sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | ~spl44_237), 21.23/3.46 inference(avatar_component_clause,[],[f2407])). 21.23/3.46 tff(f1638,plain,( 21.23/3.46 ( ! [X0 : uni,X1 : uni] : (shortest_path1(sK12,tb2t2(sK41(vertex,X0)),tb2t3(get(int,vertex,t2tb1(sK29),sK41(vertex,X0)))) | ~mem(vertex,X1,X0) | ~mem(vertex,sK41(vertex,X0),t2tb(sK26))) )), 21.23/3.46 inference(superposition,[],[f361,f1480])). 21.23/3.46 tff(f1480,plain,( 21.23/3.46 ( ! [X0 : uni,X1 : uni] : (sK41(vertex,X0) = t2tb2(tb2t2(sK41(vertex,X0))) | ~mem(vertex,X1,X0)) )), 21.23/3.46 inference(resolution,[],[f793,f398])). 21.23/3.46 tff(f793,plain,( 21.23/3.46 ( ! [X0 : uni] : (is_empty(vertex,X0) | sK41(vertex,X0) = t2tb2(tb2t2(sK41(vertex,X0)))) )), 21.23/3.46 inference(resolution,[],[f396,f282])). 21.23/3.46 tff(f396,plain,( 21.23/3.46 ( ! [X0 : ty,X1 : uni] : (sort1(X0,sK41(X0,X1)) | is_empty(X0,X1)) )), 21.23/3.46 inference(cnf_transformation,[],[f184])). 21.23/3.46 tff(f2452,plain,( 21.23/3.46 ~spl44_233 | spl44_243 | ~spl44_230 | ~spl44_237), 21.23/3.46 inference(avatar_split_clause,[],[f2448,f2407,f2367,f2450,f2380])). 21.23/3.46 tff(f2380,plain,( 21.23/3.46 spl44_233 <=> sort1(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_233])])). 21.23/3.46 tff(f2450,plain,( 21.23/3.46 spl44_243 <=> shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_243])])). 21.23/3.46 tff(f2367,plain,( 21.23/3.46 spl44_230 <=> mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_230])])). 21.23/3.46 tff(f2448,plain,( 21.23/3.46 ~sort1(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | (~spl44_230 | ~spl44_237)), 21.23/3.46 inference(subsumption_resolution,[],[f2435,f2368])). 21.23/3.46 tff(f2368,plain,( 21.23/3.46 mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK19)) | ~spl44_230), 21.23/3.46 inference(avatar_component_clause,[],[f2367])). 21.23/3.46 tff(f2435,plain,( 21.23/3.46 ~sort1(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | ~mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK19)) | shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | ~spl44_237), 21.23/3.46 inference(superposition,[],[f954,f2408])). 21.23/3.46 tff(f954,plain,( 21.23/3.46 ( ! [X0 : uni] : (shortest_path1(sK12,tb2t2(X0),tb2t3(get(int,vertex,t2tb1(sK17),X0))) | ~sort1(vertex,X0) | ~mem(vertex,X0,t2tb(sK19))) )), 21.23/3.46 inference(superposition,[],[f877,f232])). 21.23/3.46 tff(f877,plain,( 21.23/3.46 ( ! [X0 : uni] : (shortest_path1(sK12,tb2t2(contents(vertex,X0)),tb2t3(get(int,vertex,t2tb1(sK17),contents(vertex,X0)))) | ~mem(vertex,contents(vertex,X0),t2tb(sK19))) )), 21.23/3.46 inference(superposition,[],[f386,f731])). 21.23/3.46 tff(f2447,plain,( 21.23/3.46 spl44_242 | ~spl44_233 | ~spl44_234 | ~spl44_237), 21.23/3.46 inference(avatar_split_clause,[],[f2443,f2407,f2384,f2380,f2445])). 21.23/3.46 tff(f2443,plain,( 21.23/3.46 shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | ~sort1(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | (~spl44_234 | ~spl44_237)), 21.23/3.46 inference(subsumption_resolution,[],[f2438,f2385])). 21.23/3.46 tff(f2438,plain,( 21.23/3.46 ~mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK26)) | ~sort1(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))) | ~spl44_237), 21.23/3.46 inference(superposition,[],[f947,f2408])). 21.23/3.46 tff(f947,plain,( 21.23/3.46 ( ! [X0 : uni] : (shortest_path1(sK12,tb2t2(X0),tb2t3(get(int,vertex,t2tb1(sK29),X0))) | ~sort1(vertex,X0) | ~mem(vertex,X0,t2tb(sK26))) )), 21.23/3.46 inference(superposition,[],[f870,f232])). 21.23/3.46 tff(f870,plain,( 21.23/3.46 ( ! [X0 : uni] : (shortest_path1(sK12,tb2t2(contents(vertex,X0)),tb2t3(get(int,vertex,t2tb1(sK29),contents(vertex,X0)))) | ~mem(vertex,contents(vertex,X0),t2tb(sK26))) )), 21.23/3.46 inference(superposition,[],[f361,f731])). 21.23/3.46 tff(f2442,plain,( 21.23/3.46 spl44_241 | spl44_238 | ~spl44_237), 21.23/3.46 inference(avatar_split_clause,[],[f2433,f2407,f2410,f2440])). 21.23/3.46 tff(f2440,plain,( 21.23/3.46 spl44_241 <=> t2tb2(sK22) = sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_241])])). 21.23/3.46 tff(f2433,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,X0,remove(vertex,t2tb2(sK22),t2tb(sK26))) | t2tb2(sK22) = sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) ) | ~spl44_237), 21.23/3.46 inference(superposition,[],[f1480,f2408])). 21.23/3.46 tff(f2420,plain,( 21.23/3.46 ~spl44_240 | spl44_238 | ~spl44_234), 21.23/3.46 inference(avatar_split_clause,[],[f2404,f2384,f2410,f2418])). 21.23/3.46 tff(f2418,plain,( 21.23/3.46 spl44_240 <=> mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK27))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_240])])). 21.23/3.46 tff(f2404,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK27)) | ~mem(vertex,X0,remove(vertex,t2tb2(sK22),t2tb(sK26)))) ) | ~spl44_234), 21.23/3.46 inference(resolution,[],[f2385,f1637])). 21.23/3.46 tff(f1637,plain,( 21.23/3.46 ( ! [X0 : uni,X1 : uni] : (~mem(vertex,sK41(vertex,X0),t2tb(sK26)) | ~mem(vertex,sK41(vertex,X0),t2tb(sK27)) | ~mem(vertex,X1,X0)) )), 21.23/3.46 inference(superposition,[],[f358,f1480])). 21.23/3.46 tff(f358,plain,( 21.23/3.46 ( ! [X32 : vertex1] : (~mem(vertex,t2tb2(X32),t2tb(sK27)) | ~mem(vertex,t2tb2(X32),t2tb(sK26))) )), 21.23/3.46 inference(cnf_transformation,[],[f170])). 21.23/3.46 tff(f2416,plain,( 21.23/3.46 ~spl44_233 | spl44_237 | spl44_239 | ~spl44_234), 21.23/3.46 inference(avatar_split_clause,[],[f2405,f2384,f2413,f2407,f2380])). 21.23/3.46 tff(f2413,plain,( 21.23/3.46 spl44_239 <=> ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK27)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))))) | mem(vertex,t2tb2(X0),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_239])])). 21.23/3.46 tff(f2405,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))))) | ~sort1(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | sK22 = tb2t2(sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | mem(vertex,t2tb2(X0),t2tb(sK26))) ) | ~spl44_234), 21.23/3.46 inference(resolution,[],[f2385,f1147])). 21.23/3.46 tff(f2415,plain,( 21.23/3.46 spl44_237 | spl44_238 | spl44_239 | ~spl44_234), 21.23/3.46 inference(avatar_split_clause,[],[f2403,f2384,f2413,f2410,f2407])). 21.23/3.46 tff(f2403,plain,( 21.23/3.46 ( ! [X0 : vertex1,X1 : uni] : (sK22 = tb2t2(sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | ~mem(vertex,X1,remove(vertex,t2tb2(sK22),t2tb(sK26))) | mem(vertex,t2tb2(X0),t2tb(sK26)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))))))) ) | ~spl44_234), 21.23/3.46 inference(resolution,[],[f2385,f1635])). 21.23/3.46 tff(f1635,plain,( 21.23/3.46 ( ! [X2 : uni,X0 : uni,X1 : vertex1] : (~mem(vertex,sK41(vertex,X0),t2tb(sK26)) | mem(vertex,t2tb2(X1),t2tb(sK26)) | sK22 = tb2t2(sK41(vertex,X0)) | mem(vertex,t2tb2(X1),t2tb(sK27)) | ~mem(vertex,X2,X0) | ~mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(sK41(vertex,X0)))))) )), 21.23/3.46 inference(superposition,[],[f352,f1480])). 21.23/3.46 tff(f2402,plain,( 21.23/3.46 ~spl44_236 | ~spl44_231), 21.23/3.46 inference(avatar_split_clause,[],[f2398,f2371,f2400])). 21.23/3.46 tff(f2400,plain,( 21.23/3.46 spl44_236 <=> mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK18))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_236])])). 21.23/3.46 tff(f2398,plain,( 21.23/3.46 ~mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK18)) | ~spl44_231), 21.23/3.46 inference(subsumption_resolution,[],[f2392,f288])). 21.23/3.46 tff(f2392,plain,( 21.23/3.46 ~mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK18)) | ~sort1(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | ~spl44_231), 21.23/3.46 inference(resolution,[],[f2372,f952])). 21.23/3.46 tff(f952,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK19)) | ~mem(vertex,X0,t2tb(sK18)) | ~sort1(vertex,X0)) )), 21.23/3.46 inference(superposition,[],[f875,f232])). 21.23/3.46 tff(f875,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,contents(vertex,X0),t2tb(sK19)) | ~mem(vertex,contents(vertex,X0),t2tb(sK18))) )), 21.23/3.46 inference(superposition,[],[f382,f731])). 21.23/3.46 tff(f382,plain,( 21.23/3.46 ( ! [X11 : vertex1] : (~mem(vertex,t2tb2(X11),t2tb(sK19)) | ~mem(vertex,t2tb2(X11),t2tb(sK18))) )), 21.23/3.46 inference(cnf_transformation,[],[f170])). 21.23/3.46 tff(f2397,plain,( 21.23/3.46 spl44_235 | ~spl44_78 | ~spl44_231), 21.23/3.46 inference(avatar_split_clause,[],[f2393,f2371,f803,f2395])). 21.23/3.46 tff(f2393,plain,( 21.23/3.46 mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK26)) | (~spl44_78 | ~spl44_231)), 21.23/3.46 inference(subsumption_resolution,[],[f2391,f288])). 21.23/3.46 tff(f2391,plain,( 21.23/3.46 ~sort1(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK26)) | (~spl44_78 | ~spl44_231)), 21.23/3.46 inference(resolution,[],[f2372,f2251])). 21.23/3.46 tff(f2251,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK19)) | mem(vertex,X0,t2tb(sK26)) | ~sort1(vertex,X0)) ) | ~spl44_78), 21.23/3.46 inference(subsumption_resolution,[],[f2133,f305])). 21.23/3.46 tff(f2133,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK19)) | ~sort1(vertex,X0) | ~sort1(vertex,t2tb2(sK22)) | mem(vertex,X0,t2tb(sK26))) ) | ~spl44_78), 21.23/3.46 inference(superposition,[],[f238,f804])). 21.23/3.46 tff(f2389,plain,( 21.23/3.46 spl44_146 | spl44_233), 21.23/3.46 inference(avatar_split_clause,[],[f2388,f2380,f1452])). 21.23/3.46 tff(f1452,plain,( 21.23/3.46 spl44_146 <=> is_empty(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_146])])). 21.23/3.46 tff(f2388,plain,( 21.23/3.46 is_empty(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))) | spl44_233), 21.23/3.46 inference(resolution,[],[f2381,f396])). 21.23/3.46 tff(f2381,plain,( 21.23/3.46 ~sort1(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | spl44_233), 21.23/3.46 inference(avatar_component_clause,[],[f2380])). 21.23/3.46 tff(f2386,plain,( 21.23/3.46 ~spl44_233 | spl44_234 | ~spl44_78 | ~spl44_230), 21.23/3.46 inference(avatar_split_clause,[],[f2374,f2367,f803,f2384,f2380])). 21.23/3.46 tff(f2374,plain,( 21.23/3.46 mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK26)) | ~sort1(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | (~spl44_78 | ~spl44_230)), 21.23/3.46 inference(resolution,[],[f2368,f2251])). 21.23/3.46 tff(f2382,plain,( 21.23/3.46 ~spl44_232 | ~spl44_233 | ~spl44_230), 21.23/3.46 inference(avatar_split_clause,[],[f2375,f2367,f2380,f2377])). 21.23/3.46 tff(f2377,plain,( 21.23/3.46 spl44_232 <=> mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK18))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_232])])). 21.23/3.46 tff(f2375,plain,( 21.23/3.46 ~sort1(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | ~mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK18)) | ~spl44_230), 21.23/3.46 inference(resolution,[],[f2368,f952])). 21.23/3.46 tff(f2373,plain,( 21.23/3.46 spl44_231 | spl44_146 | ~spl44_127), 21.23/3.46 inference(avatar_split_clause,[],[f2364,f1299,f1452,f2371])). 21.23/3.46 tff(f1299,plain,( 21.23/3.46 spl44_127 <=> remove(vertex,t2tb2(sK22),t2tb(sK19)) = remove(vertex,t2tb2(sK22),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_127])])). 21.23/3.46 tff(f2364,plain,( 21.23/3.46 mem(vertex,choose(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK19)) | is_empty(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))) | ~spl44_127), 21.23/3.46 inference(resolution,[],[f1478,f251])). 21.23/3.46 tff(f251,plain,( 21.23/3.46 ( ! [X0 : ty,X1 : uni] : (mem(X0,choose(X0,X1),X1) | is_empty(X0,X1)) )), 21.23/3.46 inference(cnf_transformation,[],[f187])). 21.23/3.46 tff(f187,plain,( 21.23/3.46 ! [X1 : uni,X0 : ty] : (is_empty(X0,X1) | mem(X0,choose(X0,X1),X1))), 21.23/3.46 inference(ennf_transformation,[],[f1])). 21.23/3.46 tff(f1,axiom,( 21.23/3.46 ! [X0 : ty,X1 : uni] : (~is_empty(X0,X1) => mem(X0,choose(X0,X1),X1))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f1478,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,X0,remove(vertex,t2tb2(sK22),t2tb(sK26))) | mem(vertex,X0,t2tb(sK19))) ) | ~spl44_127), 21.23/3.46 inference(superposition,[],[f1439,f1300])). 21.23/3.46 tff(f1300,plain,( 21.23/3.46 remove(vertex,t2tb2(sK22),t2tb(sK19)) = remove(vertex,t2tb2(sK22),t2tb(sK26)) | ~spl44_127), 21.23/3.46 inference(avatar_component_clause,[],[f1299])). 21.23/3.46 tff(f1439,plain,( 21.23/3.46 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~mem(X0,X1,remove(X0,X2,X3)) | mem(X0,X1,X3)) )), 21.23/3.46 inference(resolution,[],[f292,f244])). 21.23/3.46 tff(f292,plain,( 21.23/3.46 ( ! [X2 : uni,X0 : ty,X1 : uni,X4 : uni] : (~subset(X0,X2,X1) | ~mem(X0,X4,X2) | mem(X0,X4,X1)) )), 21.23/3.46 inference(cnf_transformation,[],[f183])). 21.23/3.46 tff(f2369,plain,( 21.23/3.46 spl44_146 | spl44_230 | ~spl44_127), 21.23/3.46 inference(avatar_split_clause,[],[f2365,f1299,f2367,f1452])). 21.23/3.46 tff(f2365,plain,( 21.23/3.46 is_empty(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))) | mem(vertex,sK41(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))),t2tb(sK19)) | ~spl44_127), 21.23/3.46 inference(resolution,[],[f1478,f397])). 21.23/3.46 tff(f397,plain,( 21.23/3.46 ( ! [X0 : ty,X1 : uni] : (mem(X0,sK41(X0,X1),X1) | is_empty(X0,X1)) )), 21.23/3.46 inference(cnf_transformation,[],[f184])). 21.23/3.46 tff(f2363,plain,( 21.23/3.46 spl44_228 | spl44_225 | ~spl44_220 | ~spl44_223), 21.23/3.46 inference(avatar_split_clause,[],[f2362,f2318,f2302,f2325,f2355])). 21.23/3.46 tff(f2355,plain,( 21.23/3.46 spl44_228 <=> shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),sK41(vertex,t2tb(sK19)))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_228])])). 21.23/3.46 tff(f2325,plain,( 21.23/3.46 spl44_225 <=> ! [X1 : uni] : ~mem(vertex,X1,t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_225])])). 21.23/3.46 tff(f2302,plain,( 21.23/3.46 spl44_220 <=> mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_220])])). 21.23/3.46 tff(f2318,plain,( 21.23/3.46 spl44_223 <=> sK22 = tb2t2(sK41(vertex,t2tb(sK19)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_223])])). 21.23/3.46 tff(f2362,plain,( 21.23/3.46 ( ! [X0 : uni] : (shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),sK41(vertex,t2tb(sK19))))) | ~mem(vertex,X0,t2tb(sK19))) ) | (~spl44_220 | ~spl44_223)), 21.23/3.46 inference(subsumption_resolution,[],[f2340,f2303])). 21.23/3.46 tff(f2303,plain,( 21.23/3.46 mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK26)) | ~spl44_220), 21.23/3.46 inference(avatar_component_clause,[],[f2302])). 21.23/3.46 tff(f2340,plain,( 21.23/3.46 ( ! [X0 : uni] : (shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),sK41(vertex,t2tb(sK19))))) | ~mem(vertex,X0,t2tb(sK19)) | ~mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK26))) ) | ~spl44_223), 21.23/3.46 inference(superposition,[],[f1638,f2319])). 21.23/3.46 tff(f2319,plain,( 21.23/3.46 sK22 = tb2t2(sK41(vertex,t2tb(sK19))) | ~spl44_223), 21.23/3.46 inference(avatar_component_clause,[],[f2318])). 21.23/3.46 tff(f2361,plain,( 21.23/3.46 spl44_225 | spl44_229 | ~spl44_223), 21.23/3.46 inference(avatar_split_clause,[],[f2341,f2318,f2359,f2325])). 21.23/3.46 tff(f2359,plain,( 21.23/3.46 spl44_229 <=> t2tb2(sK22) = sK41(vertex,t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_229])])). 21.23/3.46 tff(f2341,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK19)) | t2tb2(sK22) = sK41(vertex,t2tb(sK19))) ) | ~spl44_223), 21.23/3.46 inference(superposition,[],[f1480,f2319])). 21.23/3.46 tff(f2357,plain,( 21.23/3.46 ~spl44_94 | spl44_228 | ~spl44_220 | ~spl44_223), 21.23/3.46 inference(avatar_split_clause,[],[f2353,f2318,f2302,f2355,f1015])). 21.23/3.46 tff(f1015,plain,( 21.23/3.46 spl44_94 <=> sort1(vertex,sK41(vertex,t2tb(sK19)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_94])])). 21.23/3.46 tff(f2353,plain,( 21.23/3.46 ~sort1(vertex,sK41(vertex,t2tb(sK19))) | shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),sK41(vertex,t2tb(sK19))))) | (~spl44_220 | ~spl44_223)), 21.23/3.46 inference(subsumption_resolution,[],[f2346,f2303])). 21.23/3.46 tff(f2346,plain,( 21.23/3.46 ~sort1(vertex,sK41(vertex,t2tb(sK19))) | shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),sK41(vertex,t2tb(sK19))))) | ~mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK26)) | ~spl44_223), 21.23/3.46 inference(superposition,[],[f947,f2319])). 21.23/3.46 tff(f2352,plain,( 21.23/3.46 spl44_227 | ~spl44_96 | ~spl44_223), 21.23/3.46 inference(avatar_split_clause,[],[f2347,f2318,f1021,f2349])). 21.23/3.46 tff(f2349,plain,( 21.23/3.46 spl44_227 <=> shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),sK41(vertex,t2tb(sK19)))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_227])])). 21.23/3.46 tff(f1021,plain,( 21.23/3.46 spl44_96 <=> mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_96])])). 21.23/3.46 tff(f2347,plain,( 21.23/3.46 shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),sK41(vertex,t2tb(sK19))))) | ~mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK19)) | ~spl44_223), 21.23/3.46 inference(subsumption_resolution,[],[f2343,f1634])). 21.23/3.46 tff(f1634,plain,( 21.23/3.46 ( ! [X0 : uni,X1 : uni] : (sort1(vertex,sK41(vertex,X0)) | ~mem(vertex,X1,X0)) )), 21.23/3.46 inference(superposition,[],[f305,f1480])). 21.23/3.46 tff(f2343,plain,( 21.23/3.46 ~mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK19)) | ~sort1(vertex,sK41(vertex,t2tb(sK19))) | shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),sK41(vertex,t2tb(sK19))))) | ~spl44_223), 21.23/3.46 inference(superposition,[],[f954,f2319])). 21.23/3.46 tff(f2331,plain,( 21.23/3.46 ~spl44_226 | spl44_225 | ~spl44_220), 21.23/3.46 inference(avatar_split_clause,[],[f2315,f2302,f2325,f2329])). 21.23/3.46 tff(f2329,plain,( 21.23/3.46 spl44_226 <=> mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK27))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_226])])). 21.23/3.46 tff(f2315,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK19)) | ~mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK27))) ) | ~spl44_220), 21.23/3.46 inference(resolution,[],[f2303,f1637])). 21.23/3.46 tff(f2327,plain,( 21.23/3.46 spl44_225 | spl44_223 | spl44_224 | ~spl44_220), 21.23/3.46 inference(avatar_split_clause,[],[f2314,f2302,f2321,f2318,f2325])). 21.23/3.46 tff(f2321,plain,( 21.23/3.46 spl44_224 <=> ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK27)) | mem(vertex,t2tb2(X0),t2tb(sK26)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK19)))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_224])])). 21.23/3.46 tff(f2314,plain,( 21.23/3.46 ( ! [X0 : vertex1,X1 : uni] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK19)))))) | ~mem(vertex,X1,t2tb(sK19)) | mem(vertex,t2tb2(X0),t2tb(sK26)) | mem(vertex,t2tb2(X0),t2tb(sK27)) | sK22 = tb2t2(sK41(vertex,t2tb(sK19)))) ) | ~spl44_220), 21.23/3.46 inference(resolution,[],[f2303,f1635])). 21.23/3.46 tff(f2323,plain,( 21.23/3.46 ~spl44_94 | spl44_223 | spl44_224 | ~spl44_220), 21.23/3.46 inference(avatar_split_clause,[],[f2316,f2302,f2321,f2318,f1015])). 21.23/3.46 tff(f2316,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK27)) | sK22 = tb2t2(sK41(vertex,t2tb(sK19))) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK19)))))) | ~sort1(vertex,sK41(vertex,t2tb(sK19))) | mem(vertex,t2tb2(X0),t2tb(sK26))) ) | ~spl44_220), 21.23/3.46 inference(resolution,[],[f2303,f1147])). 21.23/3.46 tff(f2313,plain,( 21.23/3.46 spl44_221 | spl44_222 | ~spl44_219), 21.23/3.46 inference(avatar_split_clause,[],[f2306,f2297,f2311,f2308])). 21.23/3.46 tff(f2308,plain,( 21.23/3.46 spl44_221 <=> ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK26)) | mem(vertex,t2tb2(X0),t2tb(sK27)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK19)))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_221])])). 21.23/3.46 tff(f2311,plain,( 21.23/3.46 spl44_222 <=> sK22 = tb2t2(choose(vertex,t2tb(sK19)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_222])])). 21.23/3.46 tff(f2297,plain,( 21.23/3.46 spl44_219 <=> mem(vertex,choose(vertex,t2tb(sK19)),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_219])])). 21.23/3.46 tff(f2306,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK26)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK19)))))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | sK22 = tb2t2(choose(vertex,t2tb(sK19)))) ) | ~spl44_219), 21.23/3.46 inference(subsumption_resolution,[],[f2305,f288])). 21.23/3.46 tff(f2305,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK19)))))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | sK22 = tb2t2(choose(vertex,t2tb(sK19))) | ~sort1(vertex,choose(vertex,t2tb(sK19))) | mem(vertex,t2tb2(X0),t2tb(sK26))) ) | ~spl44_219), 21.23/3.46 inference(resolution,[],[f2298,f1147])). 21.23/3.46 tff(f2298,plain,( 21.23/3.46 mem(vertex,choose(vertex,t2tb(sK19)),t2tb(sK26)) | ~spl44_219), 21.23/3.46 inference(avatar_component_clause,[],[f2297])). 21.23/3.46 tff(f2304,plain,( 21.23/3.46 spl44_220 | spl44_90 | ~spl44_78), 21.23/3.46 inference(avatar_split_clause,[],[f2300,f803,f927,f2302])). 21.23/3.46 tff(f927,plain,( 21.23/3.46 spl44_90 <=> is_empty(vertex,t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_90])])). 21.23/3.46 tff(f2300,plain,( 21.23/3.46 is_empty(vertex,t2tb(sK19)) | mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK26)) | ~spl44_78), 21.23/3.46 inference(subsumption_resolution,[],[f2294,f396])). 21.23/3.46 tff(f2294,plain,( 21.23/3.46 is_empty(vertex,t2tb(sK19)) | ~sort1(vertex,sK41(vertex,t2tb(sK19))) | mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK26)) | ~spl44_78), 21.23/3.46 inference(resolution,[],[f2251,f397])). 21.23/3.46 tff(f2299,plain,( 21.23/3.46 spl44_90 | spl44_219 | ~spl44_78), 21.23/3.46 inference(avatar_split_clause,[],[f2295,f803,f2297,f927])). 21.23/3.46 tff(f2295,plain,( 21.23/3.46 is_empty(vertex,t2tb(sK19)) | mem(vertex,choose(vertex,t2tb(sK19)),t2tb(sK26)) | ~spl44_78), 21.23/3.46 inference(subsumption_resolution,[],[f2293,f288])). 21.23/3.46 tff(f2293,plain,( 21.23/3.46 mem(vertex,choose(vertex,t2tb(sK19)),t2tb(sK26)) | ~sort1(vertex,choose(vertex,t2tb(sK19))) | is_empty(vertex,t2tb(sK19)) | ~spl44_78), 21.23/3.46 inference(resolution,[],[f2251,f251])). 21.23/3.46 tff(f2292,plain,( 21.23/3.46 spl44_218 | ~spl44_213 | ~spl44_215), 21.23/3.46 inference(avatar_split_clause,[],[f2288,f2266,f2253,f2290])). 21.23/3.46 tff(f2290,plain,( 21.23/3.46 spl44_218 <=> cardinal1(vertex,t2tb(sK26)) = $sum(2,cardinal1(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_218])])). 21.23/3.46 tff(f2253,plain,( 21.23/3.46 spl44_213 <=> cardinal1(vertex,t2tb(sK26)) = $sum(1,cardinal1(vertex,t2tb(sK19)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_213])])). 21.23/3.46 tff(f2266,plain,( 21.23/3.46 spl44_215 <=> cardinal1(vertex,t2tb(sK19)) = $sum(1,cardinal1(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_215])])). 21.23/3.46 tff(f2288,plain,( 21.23/3.46 cardinal1(vertex,t2tb(sK26)) = $sum(2,cardinal1(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | (~spl44_213 | ~spl44_215)), 21.23/3.46 inference(evaluation,[],[f2287])). 21.23/3.46 tff(f2287,plain,( 21.23/3.46 cardinal1(vertex,t2tb(sK26)) = $sum(1,$sum(1,cardinal1(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))))) | (~spl44_213 | ~spl44_215)), 21.23/3.46 inference(forward_demodulation,[],[f2254,f2267])). 21.23/3.46 tff(f2267,plain,( 21.23/3.46 cardinal1(vertex,t2tb(sK19)) = $sum(1,cardinal1(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | ~spl44_215), 21.23/3.46 inference(avatar_component_clause,[],[f2266])). 21.23/3.46 tff(f2254,plain,( 21.23/3.46 cardinal1(vertex,t2tb(sK26)) = $sum(1,cardinal1(vertex,t2tb(sK19))) | ~spl44_213), 21.23/3.46 inference(avatar_component_clause,[],[f2253])). 21.23/3.46 tff(f2286,plain,( 21.23/3.46 ~spl44_19 | ~spl44_170), 21.23/3.46 inference(avatar_contradiction_clause,[],[f2285])). 21.23/3.46 tff(f2285,plain,( 21.23/3.46 $false | (~spl44_19 | ~spl44_170)), 21.23/3.46 inference(subsumption_resolution,[],[f2284,f305])). 21.23/3.46 tff(f2284,plain,( 21.23/3.46 ~sort1(vertex,t2tb2(sK22)) | (~spl44_19 | ~spl44_170)), 21.23/3.46 inference(subsumption_resolution,[],[f2281,f480])). 21.23/3.46 tff(f480,plain,( 21.23/3.46 mem(vertex,t2tb2(sK22),t2tb(sK18)) | ~spl44_19), 21.23/3.46 inference(avatar_component_clause,[],[f479])). 21.23/3.46 tff(f479,plain,( 21.23/3.46 spl44_19 <=> mem(vertex,t2tb2(sK22),t2tb(sK18))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_19])])). 21.23/3.46 tff(f2281,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK22),t2tb(sK18)) | ~sort1(vertex,t2tb2(sK22)) | ~spl44_170), 21.23/3.46 inference(resolution,[],[f1800,f952])). 21.23/3.46 tff(f1800,plain,( 21.23/3.46 mem(vertex,t2tb2(sK22),t2tb(sK19)) | ~spl44_170), 21.23/3.46 inference(avatar_component_clause,[],[f1799])). 21.23/3.46 tff(f1799,plain,( 21.23/3.46 spl44_170 <=> mem(vertex,t2tb2(sK22),t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_170])])). 21.23/3.46 tff(f2283,plain,( 21.23/3.46 ~spl44_19 | ~spl44_170), 21.23/3.46 inference(avatar_contradiction_clause,[],[f2282])). 21.23/3.46 tff(f2282,plain,( 21.23/3.46 $false | (~spl44_19 | ~spl44_170)), 21.23/3.46 inference(subsumption_resolution,[],[f2280,f480])). 21.23/3.46 tff(f2280,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK22),t2tb(sK18)) | ~spl44_170), 21.23/3.46 inference(resolution,[],[f1800,f382])). 21.23/3.46 tff(f2277,plain,( 21.23/3.46 ~spl44_216 | spl44_165), 21.23/3.46 inference(avatar_split_clause,[],[f1962,f1773,f2270])). 21.23/3.46 tff(f2270,plain,( 21.23/3.46 spl44_216 <=> mem(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)),remove(vertex,t2tb2(sK22),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_216])])). 21.23/3.46 tff(f1962,plain,( 21.23/3.46 ~mem(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)),remove(vertex,t2tb2(sK22),t2tb(sK26))) | spl44_165), 21.23/3.46 inference(resolution,[],[f1774,f291])). 21.23/3.46 tff(f291,plain,( 21.23/3.46 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,X2,X1) | ~mem(X0,sK8(X0,X1,X2),X1)) )), 21.23/3.46 inference(cnf_transformation,[],[f183])). 21.23/3.46 tff(f2276,plain,( 21.23/3.46 ~spl44_217 | ~spl44_128 | spl44_194), 21.23/3.46 inference(avatar_split_clause,[],[f2192,f2025,f1306,f2274])). 21.23/3.46 tff(f2274,plain,( 21.23/3.46 spl44_217 <=> mem(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(v1)),remove(vertex,t2tb2(sK22),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_217])])). 21.23/3.46 tff(f2025,plain,( 21.23/3.46 spl44_194 <=> subset(vertex,t2tb(v1),t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_194])])). 21.23/3.46 tff(f2192,plain,( 21.23/3.46 ~mem(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(v1)),remove(vertex,t2tb2(sK22),t2tb(sK26))) | (~spl44_128 | spl44_194)), 21.23/3.46 inference(resolution,[],[f2065,f1307])). 21.23/3.46 tff(f2065,plain,( 21.23/3.46 ( ! [X0 : uni] : (~subset(vertex,X0,t2tb(sK19)) | ~mem(vertex,sK8(vertex,X0,t2tb(v1)),X0)) ) | spl44_194), 21.23/3.46 inference(resolution,[],[f2028,f291])). 21.23/3.46 tff(f2028,plain,( 21.23/3.46 ( ! [X0 : uni] : (~subset(vertex,t2tb(v1),X0) | ~subset(vertex,X0,t2tb(sK19))) ) | spl44_194), 21.23/3.46 inference(resolution,[],[f2026,f256])). 21.23/3.46 tff(f2026,plain,( 21.23/3.46 ~subset(vertex,t2tb(v1),t2tb(sK19)) | spl44_194), 21.23/3.46 inference(avatar_component_clause,[],[f2025])). 21.23/3.46 tff(f2272,plain,( 21.23/3.46 ~spl44_216 | ~spl44_128 | spl44_167), 21.23/3.46 inference(avatar_split_clause,[],[f2177,f1781,f1306,f2270])). 21.23/3.46 tff(f2177,plain,( 21.23/3.46 ~mem(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)),remove(vertex,t2tb2(sK22),t2tb(sK26))) | (~spl44_128 | spl44_167)), 21.23/3.46 inference(resolution,[],[f2021,f1307])). 21.23/3.46 tff(f2021,plain,( 21.23/3.46 ( ! [X0 : uni] : (~subset(vertex,X0,t2tb(sK19)) | ~mem(vertex,sK8(vertex,X0,t2tb(sK26)),X0)) ) | spl44_167), 21.23/3.46 inference(resolution,[],[f1859,f291])). 21.23/3.46 tff(f2268,plain,( 21.23/3.46 ~spl44_170 | spl44_215 | ~spl44_127), 21.23/3.46 inference(avatar_split_clause,[],[f2100,f1299,f2266,f1799])). 21.23/3.46 tff(f2100,plain,( 21.23/3.46 cardinal1(vertex,t2tb(sK19)) = $sum(1,cardinal1(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))) | ~mem(vertex,t2tb2(sK22),t2tb(sK19)) | ~spl44_127), 21.23/3.46 inference(superposition,[],[f303,f1300])). 21.23/3.46 tff(f303,plain,( 21.23/3.46 ( ! [X2 : ty,X0 : uni,X1 : uni] : (cardinal1(X2,X0) = $sum(1,cardinal1(X2,remove(X2,X1,X0))) | ~mem(X2,X1,X0)) )), 21.23/3.46 inference(cnf_transformation,[],[f194])). 21.23/3.46 tff(f194,plain,( 21.23/3.46 ! [X0 : uni,X2 : ty,X1 : uni] : (cardinal1(X2,X0) = $sum(1,cardinal1(X2,remove(X2,X1,X0))) | ~mem(X2,X1,X0))), 21.23/3.46 inference(ennf_transformation,[],[f159])). 21.23/3.46 tff(f159,plain,( 21.23/3.46 ! [X1 : uni,X2 : ty,X0 : uni] : (mem(X2,X1,X0) => cardinal1(X2,X0) = $sum(1,cardinal1(X2,remove(X2,X1,X0))))), 21.23/3.46 inference(rectify,[],[f67])). 21.23/3.46 tff(f67,axiom,( 21.23/3.46 ! [X1 : uni,X7 : uni,X0 : ty] : (mem(X0,X7,X1) => cardinal1(X0,X1) = $sum(1,cardinal1(X0,remove(X0,X7,X1))))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2264,plain,( 21.23/3.46 spl44_214 | ~spl44_170 | ~spl44_127 | ~spl44_147), 21.23/3.46 inference(avatar_split_clause,[],[f2259,f1458,f1299,f1799,f2261])). 21.23/3.46 tff(f2261,plain,( 21.23/3.46 spl44_214 <=> 1 = cardinal1(vertex,t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_214])])). 21.23/3.46 tff(f1458,plain,( 21.23/3.46 spl44_147 <=> 0 = cardinal1(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_147])])). 21.23/3.46 tff(f2259,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK22),t2tb(sK19)) | 1 = cardinal1(vertex,t2tb(sK19)) | (~spl44_127 | ~spl44_147)), 21.23/3.46 inference(evaluation,[],[f2258])). 21.23/3.46 tff(f2258,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK22),t2tb(sK19)) | cardinal1(vertex,t2tb(sK19)) = $sum(1,0) | (~spl44_127 | ~spl44_147)), 21.23/3.46 inference(forward_demodulation,[],[f2100,f1459])). 21.23/3.46 tff(f1459,plain,( 21.23/3.46 0 = cardinal1(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))) | ~spl44_147), 21.23/3.46 inference(avatar_component_clause,[],[f1458])). 21.23/3.46 tff(f2257,plain,( 21.23/3.46 spl44_161 | ~spl44_21 | ~spl44_147), 21.23/3.46 inference(avatar_split_clause,[],[f2256,f1458,f486,f1741])). 21.23/3.46 tff(f1741,plain,( 21.23/3.46 spl44_161 <=> 1 = cardinal1(vertex,t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_161])])). 21.23/3.46 tff(f2256,plain,( 21.23/3.46 1 = cardinal1(vertex,t2tb(sK26)) | (~spl44_21 | ~spl44_147)), 21.23/3.46 inference(subsumption_resolution,[],[f2102,f841])). 21.23/3.46 tff(f841,plain,( 21.23/3.46 mem(vertex,t2tb2(sK22),t2tb(sK26)) | ~spl44_21), 21.23/3.46 inference(avatar_component_clause,[],[f486])). 21.23/3.46 tff(f2102,plain,( 21.23/3.46 1 = cardinal1(vertex,t2tb(sK26)) | ~mem(vertex,t2tb2(sK22),t2tb(sK26)) | ~spl44_147), 21.23/3.46 inference(evaluation,[],[f2101])). 21.23/3.46 tff(f2101,plain,( 21.23/3.46 cardinal1(vertex,t2tb(sK26)) = $sum(1,0) | ~mem(vertex,t2tb2(sK22),t2tb(sK26)) | ~spl44_147), 21.23/3.46 inference(superposition,[],[f303,f1459])). 21.23/3.46 tff(f2255,plain,( 21.23/3.46 spl44_170 | spl44_213 | ~spl44_78), 21.23/3.46 inference(avatar_split_clause,[],[f1726,f803,f2253,f1799])). 21.23/3.46 tff(f1726,plain,( 21.23/3.46 cardinal1(vertex,t2tb(sK26)) = $sum(1,cardinal1(vertex,t2tb(sK19))) | mem(vertex,t2tb2(sK22),t2tb(sK19)) | ~spl44_78), 21.23/3.46 inference(superposition,[],[f223,f804])). 21.23/3.46 tff(f2250,plain,( 21.23/3.46 ~spl44_212 | spl44_167), 21.23/3.46 inference(avatar_split_clause,[],[f2172,f1781,f2248])). 21.23/3.46 tff(f2248,plain,( 21.23/3.46 spl44_212 <=> mem(vertex,sK8(vertex,t2tb(sK19),t2tb(sK26)),t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_212])])). 21.23/3.46 tff(f2172,plain,( 21.23/3.46 ~mem(vertex,sK8(vertex,t2tb(sK19),t2tb(sK26)),t2tb(sK19)) | spl44_167), 21.23/3.46 inference(resolution,[],[f2021,f297])). 21.23/3.46 tff(f297,plain,( 21.23/3.46 ( ! [X0 : uni,X1 : ty] : (subset(X1,X0,X0)) )), 21.23/3.46 inference(cnf_transformation,[],[f134])). 21.23/3.46 tff(f134,plain,( 21.23/3.46 ! [X0 : uni,X1 : ty] : subset(X1,X0,X0)), 21.23/3.46 inference(rectify,[],[f71])). 21.23/3.46 tff(f71,axiom,( 21.23/3.46 ! [X1 : uni,X0 : ty] : subset(X0,X1,X1)), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2246,plain,( 21.23/3.46 ~spl44_211 | spl44_194), 21.23/3.46 inference(avatar_split_clause,[],[f2187,f2025,f2244])). 21.23/3.46 tff(f2244,plain,( 21.23/3.46 spl44_211 <=> mem(vertex,sK8(vertex,t2tb(sK19),t2tb(v1)),t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_211])])). 21.23/3.46 tff(f2187,plain,( 21.23/3.46 ~mem(vertex,sK8(vertex,t2tb(sK19),t2tb(v1)),t2tb(sK19)) | spl44_194), 21.23/3.46 inference(resolution,[],[f2065,f297])). 21.23/3.46 tff(f2242,plain,( 21.23/3.46 spl44_210 | ~spl44_137 | ~spl44_161), 21.23/3.46 inference(avatar_split_clause,[],[f2238,f1741,f1384,f2240])). 21.23/3.46 tff(f2240,plain,( 21.23/3.46 spl44_210 <=> choose(vertex,t2tb(sK26)) = choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_210])])). 21.23/3.46 tff(f1384,plain,( 21.23/3.46 spl44_137 <=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_137])])). 21.23/3.46 tff(f2238,plain,( 21.23/3.46 choose(vertex,t2tb(sK26)) = choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | (~spl44_137 | ~spl44_161)), 21.23/3.46 inference(subsumption_resolution,[],[f2205,f288])). 21.23/3.46 tff(f2205,plain,( 21.23/3.46 choose(vertex,t2tb(sK26)) = choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | ~sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))) | (~spl44_137 | ~spl44_161)), 21.23/3.46 inference(resolution,[],[f2150,f1385])). 21.23/3.46 tff(f1385,plain,( 21.23/3.46 mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK26)) | ~spl44_137), 21.23/3.46 inference(avatar_component_clause,[],[f1384])). 21.23/3.46 tff(f2150,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK26)) | choose(vertex,t2tb(sK26)) = X0 | ~sort1(vertex,X0)) ) | ~spl44_161), 21.23/3.46 inference(trivial_inequality_removal,[],[f2148])). 21.23/3.46 tff(f2148,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK26)) | ~sort1(vertex,X0) | 1 != 1 | choose(vertex,t2tb(sK26)) = X0) ) | ~spl44_161), 21.23/3.46 inference(superposition,[],[f277,f1742])). 21.23/3.46 tff(f1742,plain,( 21.23/3.46 1 = cardinal1(vertex,t2tb(sK26)) | ~spl44_161), 21.23/3.46 inference(avatar_component_clause,[],[f1741])). 21.23/3.46 tff(f2237,plain,( 21.23/3.46 spl44_209 | ~spl44_119 | ~spl44_161), 21.23/3.46 inference(avatar_split_clause,[],[f2233,f1741,f1262,f2235])). 21.23/3.46 tff(f2235,plain,( 21.23/3.46 spl44_209 <=> choose(vertex,t2tb(sK26)) = choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_209])])). 21.23/3.46 tff(f1262,plain,( 21.23/3.46 spl44_119 <=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_119])])). 21.23/3.46 tff(f2233,plain,( 21.23/3.46 choose(vertex,t2tb(sK26)) = choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | (~spl44_119 | ~spl44_161)), 21.23/3.46 inference(subsumption_resolution,[],[f2204,f288])). 21.23/3.46 tff(f2204,plain,( 21.23/3.46 choose(vertex,t2tb(sK26)) = choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | ~sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))) | (~spl44_119 | ~spl44_161)), 21.23/3.46 inference(resolution,[],[f2150,f1263])). 21.23/3.46 tff(f1263,plain,( 21.23/3.46 mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK26)) | ~spl44_119), 21.23/3.46 inference(avatar_component_clause,[],[f1262])). 21.23/3.46 tff(f2231,plain,( 21.23/3.46 spl44_208 | ~spl44_161 | ~spl44_168 | ~spl44_169), 21.23/3.46 inference(avatar_split_clause,[],[f2227,f1793,f1789,f1741,f2229])). 21.23/3.46 tff(f2229,plain,( 21.23/3.46 spl44_208 <=> choose(vertex,t2tb(sK26)) = sK8(vertex,empty(vertex),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_208])])). 21.23/3.46 tff(f1789,plain,( 21.23/3.46 spl44_168 <=> sort1(vertex,sK8(vertex,empty(vertex),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_168])])). 21.23/3.46 tff(f1793,plain,( 21.23/3.46 spl44_169 <=> mem(vertex,sK8(vertex,empty(vertex),t2tb(sK26)),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_169])])). 21.23/3.46 tff(f2227,plain,( 21.23/3.46 choose(vertex,t2tb(sK26)) = sK8(vertex,empty(vertex),t2tb(sK26)) | (~spl44_161 | ~spl44_168 | ~spl44_169)), 21.23/3.46 inference(subsumption_resolution,[],[f2208,f1790])). 21.23/3.46 tff(f1790,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,empty(vertex),t2tb(sK26))) | ~spl44_168), 21.23/3.46 inference(avatar_component_clause,[],[f1789])). 21.23/3.46 tff(f2208,plain,( 21.23/3.46 ~sort1(vertex,sK8(vertex,empty(vertex),t2tb(sK26))) | choose(vertex,t2tb(sK26)) = sK8(vertex,empty(vertex),t2tb(sK26)) | (~spl44_161 | ~spl44_169)), 21.23/3.46 inference(resolution,[],[f2150,f1794])). 21.23/3.46 tff(f1794,plain,( 21.23/3.46 mem(vertex,sK8(vertex,empty(vertex),t2tb(sK26)),t2tb(sK26)) | ~spl44_169), 21.23/3.46 inference(avatar_component_clause,[],[f1793])). 21.23/3.46 tff(f2226,plain,( 21.23/3.46 spl44_207 | ~spl44_161 | ~spl44_173 | ~spl44_174), 21.23/3.46 inference(avatar_split_clause,[],[f2222,f1868,f1864,f1741,f2224])). 21.23/3.46 tff(f2224,plain,( 21.23/3.46 spl44_207 <=> choose(vertex,t2tb(sK26)) = sK8(vertex,t2tb(sK19),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_207])])). 21.23/3.46 tff(f1864,plain,( 21.23/3.46 spl44_173 <=> mem(vertex,sK8(vertex,t2tb(sK19),t2tb(sK26)),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_173])])). 21.23/3.46 tff(f1868,plain,( 21.23/3.46 spl44_174 <=> sort1(vertex,sK8(vertex,t2tb(sK19),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_174])])). 21.23/3.46 tff(f2222,plain,( 21.23/3.46 choose(vertex,t2tb(sK26)) = sK8(vertex,t2tb(sK19),t2tb(sK26)) | (~spl44_161 | ~spl44_173 | ~spl44_174)), 21.23/3.46 inference(subsumption_resolution,[],[f2209,f1869])). 21.23/3.46 tff(f1869,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK19),t2tb(sK26))) | ~spl44_174), 21.23/3.46 inference(avatar_component_clause,[],[f1868])). 21.23/3.46 tff(f2209,plain,( 21.23/3.46 choose(vertex,t2tb(sK26)) = sK8(vertex,t2tb(sK19),t2tb(sK26)) | ~sort1(vertex,sK8(vertex,t2tb(sK19),t2tb(sK26))) | (~spl44_161 | ~spl44_173)), 21.23/3.46 inference(resolution,[],[f2150,f1865])). 21.23/3.46 tff(f1865,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(sK19),t2tb(sK26)),t2tb(sK26)) | ~spl44_173), 21.23/3.46 inference(avatar_component_clause,[],[f1864])). 21.23/3.46 tff(f2220,plain,( 21.23/3.46 spl44_206 | ~spl44_21 | ~spl44_161), 21.23/3.46 inference(avatar_split_clause,[],[f2216,f1741,f486,f2218])). 21.23/3.46 tff(f2218,plain,( 21.23/3.46 spl44_206 <=> t2tb2(sK22) = choose(vertex,t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_206])])). 21.23/3.46 tff(f2216,plain,( 21.23/3.46 t2tb2(sK22) = choose(vertex,t2tb(sK26)) | (~spl44_21 | ~spl44_161)), 21.23/3.46 inference(subsumption_resolution,[],[f2207,f305])). 21.23/3.46 tff(f2207,plain,( 21.23/3.46 t2tb2(sK22) = choose(vertex,t2tb(sK26)) | ~sort1(vertex,t2tb2(sK22)) | (~spl44_21 | ~spl44_161)), 21.23/3.46 inference(resolution,[],[f2150,f841])). 21.23/3.46 tff(f2215,plain,( 21.23/3.46 spl44_106 | spl44_205 | ~spl44_161), 21.23/3.46 inference(avatar_split_clause,[],[f2211,f1741,f2213,f1156])). 21.23/3.46 tff(f1156,plain,( 21.23/3.46 spl44_106 <=> is_empty(vertex,t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_106])])). 21.23/3.46 tff(f2213,plain,( 21.23/3.46 spl44_205 <=> choose(vertex,t2tb(sK26)) = sK41(vertex,t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_205])])). 21.23/3.46 tff(f2211,plain,( 21.23/3.46 is_empty(vertex,t2tb(sK26)) | choose(vertex,t2tb(sK26)) = sK41(vertex,t2tb(sK26)) | ~spl44_161), 21.23/3.46 inference(subsumption_resolution,[],[f2210,f396])). 21.23/3.46 tff(f2210,plain,( 21.23/3.46 ~sort1(vertex,sK41(vertex,t2tb(sK26))) | choose(vertex,t2tb(sK26)) = sK41(vertex,t2tb(sK26)) | is_empty(vertex,t2tb(sK26)) | ~spl44_161), 21.23/3.46 inference(resolution,[],[f2150,f397])). 21.23/3.46 tff(f2199,plain,( 21.23/3.46 spl44_204 | ~spl44_202), 21.23/3.46 inference(avatar_split_clause,[],[f2195,f2091,f2197])). 21.23/3.46 tff(f2197,plain,( 21.23/3.46 spl44_204 <=> sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK26)) = t2tb2(tb2t2(sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK26))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_204])])). 21.23/3.46 tff(f2091,plain,( 21.23/3.46 spl44_202 <=> sort1(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_202])])). 21.23/3.46 tff(f2195,plain,( 21.23/3.46 sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK26)) = t2tb2(tb2t2(sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK26)))) | ~spl44_202), 21.23/3.46 inference(resolution,[],[f2092,f282])). 21.23/3.46 tff(f2092,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK26))) | ~spl44_202), 21.23/3.46 inference(avatar_component_clause,[],[f2091])). 21.23/3.46 tff(f2108,plain,( 21.23/3.46 spl44_203 | ~spl44_185), 21.23/3.46 inference(avatar_split_clause,[],[f2104,f1966,f2106])). 21.23/3.46 tff(f2106,plain,( 21.23/3.46 spl44_203 <=> sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)) = t2tb2(tb2t2(sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_203])])). 21.23/3.46 tff(f2104,plain,( 21.23/3.46 sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)) = t2tb2(tb2t2(sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)))) | ~spl44_185), 21.23/3.46 inference(resolution,[],[f1967,f282])). 21.23/3.46 tff(f2093,plain,( 21.23/3.46 spl44_202 | spl44_163), 21.23/3.46 inference(avatar_split_clause,[],[f2085,f1765,f2091])). 21.23/3.46 tff(f1765,plain,( 21.23/3.46 spl44_163 <=> subset(vertex,t2tb(sK26),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_163])])). 21.23/3.46 tff(f2085,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK26))) | spl44_163), 21.23/3.46 inference(resolution,[],[f1766,f289])). 21.23/3.46 tff(f1766,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | spl44_163), 21.23/3.46 inference(avatar_component_clause,[],[f1765])). 21.23/3.46 tff(f2089,plain,( 21.23/3.46 spl44_201 | spl44_163), 21.23/3.46 inference(avatar_split_clause,[],[f2084,f1765,f2087])). 21.23/3.46 tff(f2087,plain,( 21.23/3.46 spl44_201 <=> mem(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK26)),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_201])])). 21.23/3.46 tff(f2084,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))),t2tb(sK26)),t2tb(sK26)) | spl44_163), 21.23/3.46 inference(resolution,[],[f1766,f290])). 21.23/3.46 tff(f2077,plain,( 21.23/3.46 spl44_200 | ~spl44_36 | spl44_59), 21.23/3.46 inference(avatar_split_clause,[],[f2073,f691,f546,f2075])). 21.23/3.46 tff(f2075,plain,( 21.23/3.46 spl44_200 <=> mem(vertex,t2tb2(sK12),t2tb(sK27))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_200])])). 21.23/3.46 tff(f546,plain,( 21.23/3.46 spl44_36 <=> inv_src1(sK12,sK26,sK27)), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_36])])). 21.23/3.46 tff(f691,plain,( 21.23/3.46 spl44_59 <=> mem(vertex,t2tb2(sK12),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_59])])). 21.23/3.46 tff(f2073,plain,( 21.23/3.46 mem(vertex,t2tb2(sK12),t2tb(sK27)) | (~spl44_36 | spl44_59)), 21.23/3.46 inference(subsumption_resolution,[],[f2069,f692])). 21.23/3.46 tff(f692,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK12),t2tb(sK26)) | spl44_59), 21.23/3.46 inference(avatar_component_clause,[],[f691])). 21.23/3.46 tff(f2069,plain,( 21.23/3.46 mem(vertex,t2tb2(sK12),t2tb(sK27)) | mem(vertex,t2tb2(sK12),t2tb(sK26)) | ~spl44_36), 21.23/3.46 inference(resolution,[],[f281,f547])). 21.23/3.46 tff(f547,plain,( 21.23/3.46 inv_src1(sK12,sK26,sK27) | ~spl44_36), 21.23/3.46 inference(avatar_component_clause,[],[f546])). 21.23/3.46 tff(f281,plain,( 21.23/3.46 ( ! [X2 : set_vertex,X0 : vertex1,X1 : set_vertex] : (~inv_src1(X0,X1,X2) | mem(vertex,t2tb2(X0),t2tb(X1)) | mem(vertex,t2tb2(X0),t2tb(X2))) )), 21.23/3.46 inference(cnf_transformation,[],[f206])). 21.23/3.46 tff(f206,plain,( 21.23/3.46 ! [X2 : set_vertex,X0 : vertex1,X1 : set_vertex] : (mem(vertex,t2tb2(X0),t2tb(X2)) | mem(vertex,t2tb2(X0),t2tb(X1)) | ~inv_src1(X0,X1,X2))), 21.23/3.46 inference(flattening,[],[f205])). 21.23/3.46 tff(f205,plain,( 21.23/3.46 ! [X1 : set_vertex,X0 : vertex1,X2 : set_vertex] : ((mem(vertex,t2tb2(X0),t2tb(X2)) | mem(vertex,t2tb2(X0),t2tb(X1))) | ~inv_src1(X0,X1,X2))), 21.23/3.46 inference(ennf_transformation,[],[f163])). 21.23/3.46 tff(f163,plain,( 21.23/3.46 ! [X1 : set_vertex,X0 : vertex1,X2 : set_vertex] : (inv_src1(X0,X1,X2) => (mem(vertex,t2tb2(X0),t2tb(X2)) | mem(vertex,t2tb2(X0),t2tb(X1))))), 21.23/3.46 inference(unused_predicate_definition_removal,[],[f125])). 21.23/3.46 tff(f125,plain,( 21.23/3.46 ! [X1 : set_vertex,X0 : vertex1,X2 : set_vertex] : ((mem(vertex,t2tb2(X0),t2tb(X2)) | mem(vertex,t2tb2(X0),t2tb(X1))) <=> inv_src1(X0,X1,X2))), 21.23/3.46 inference(rectify,[],[f61])). 21.23/3.46 tff(f61,axiom,( 21.23/3.46 ! [X21 : vertex1,X1 : set_vertex,X10 : set_vertex] : ((mem(vertex,t2tb2(X21),t2tb(X1)) | mem(vertex,t2tb2(X21),t2tb(X10))) <=> inv_src1(X21,X1,X10))), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f2072,plain,( 21.23/3.46 spl44_62 | ~spl44_8 | spl44_93), 21.23/3.46 inference(avatar_split_clause,[],[f2070,f998,f435,f706])). 21.23/3.46 tff(f706,plain,( 21.23/3.46 spl44_62 <=> mem(vertex,t2tb2(sK12),t2tb(sK18))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_62])])). 21.23/3.46 tff(f435,plain,( 21.23/3.46 spl44_8 <=> inv_src1(sK12,sK19,sK18)), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_8])])). 21.23/3.46 tff(f998,plain,( 21.23/3.46 spl44_93 <=> mem(vertex,t2tb2(sK12),t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_93])])). 21.23/3.46 tff(f2070,plain,( 21.23/3.46 mem(vertex,t2tb2(sK12),t2tb(sK18)) | (~spl44_8 | spl44_93)), 21.23/3.46 inference(subsumption_resolution,[],[f2068,f999])). 21.23/3.46 tff(f999,plain,( 21.23/3.46 ~mem(vertex,t2tb2(sK12),t2tb(sK19)) | spl44_93), 21.23/3.46 inference(avatar_component_clause,[],[f998])). 21.23/3.46 tff(f2068,plain,( 21.23/3.46 mem(vertex,t2tb2(sK12),t2tb(sK19)) | mem(vertex,t2tb2(sK12),t2tb(sK18)) | ~spl44_8), 21.23/3.46 inference(resolution,[],[f281,f436])). 21.23/3.46 tff(f436,plain,( 21.23/3.46 inv_src1(sK12,sK19,sK18) | ~spl44_8), 21.23/3.46 inference(avatar_component_clause,[],[f435])). 21.23/3.46 tff(f2057,plain,( 21.23/3.46 spl44_198 | spl44_199 | ~spl44_173 | ~spl44_174), 21.23/3.46 inference(avatar_split_clause,[],[f2050,f1868,f1864,f2055,f2052])). 21.23/3.46 tff(f2052,plain,( 21.23/3.46 spl44_198 <=> sK22 = tb2t2(sK8(vertex,t2tb(sK19),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_198])])). 21.23/3.46 tff(f2055,plain,( 21.23/3.46 spl44_199 <=> ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK27)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK8(vertex,t2tb(sK19),t2tb(sK26)))))) | mem(vertex,t2tb2(X0),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_199])])). 21.23/3.46 tff(f2050,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (sK22 = tb2t2(sK8(vertex,t2tb(sK19),t2tb(sK26))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | mem(vertex,t2tb2(X0),t2tb(sK26)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK8(vertex,t2tb(sK19),t2tb(sK26))))))) ) | (~spl44_173 | ~spl44_174)), 21.23/3.46 inference(subsumption_resolution,[],[f2049,f1869])). 21.23/3.46 tff(f2049,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK8(vertex,t2tb(sK19),t2tb(sK26)))))) | ~sort1(vertex,sK8(vertex,t2tb(sK19),t2tb(sK26))) | mem(vertex,t2tb2(X0),t2tb(sK26)) | sK22 = tb2t2(sK8(vertex,t2tb(sK19),t2tb(sK26))) | mem(vertex,t2tb2(X0),t2tb(sK27))) ) | ~spl44_173), 21.23/3.46 inference(resolution,[],[f1865,f1147])). 21.23/3.46 tff(f2048,plain,( 21.23/3.46 spl44_197 | ~spl44_196), 21.23/3.46 inference(avatar_split_clause,[],[f2044,f2037,f2046])). 21.23/3.46 tff(f2046,plain,( 21.23/3.46 spl44_197 <=> sK8(vertex,t2tb(sK19),t2tb(v1)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK19),t2tb(v1))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_197])])). 21.23/3.46 tff(f2037,plain,( 21.23/3.46 spl44_196 <=> sort1(vertex,sK8(vertex,t2tb(sK19),t2tb(v1)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_196])])). 21.23/3.46 tff(f2044,plain,( 21.23/3.46 sK8(vertex,t2tb(sK19),t2tb(v1)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK19),t2tb(v1)))) | ~spl44_196), 21.23/3.46 inference(resolution,[],[f2038,f282])). 21.23/3.46 tff(f2038,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK19),t2tb(v1))) | ~spl44_196), 21.23/3.46 inference(avatar_component_clause,[],[f2037])). 21.23/3.46 tff(f2039,plain,( 21.23/3.46 spl44_196 | spl44_194), 21.23/3.46 inference(avatar_split_clause,[],[f2031,f2025,f2037])). 21.23/3.46 tff(f2031,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK19),t2tb(v1))) | spl44_194), 21.23/3.46 inference(resolution,[],[f2026,f289])). 21.23/3.46 tff(f2035,plain,( 21.23/3.46 spl44_195 | spl44_194), 21.23/3.46 inference(avatar_split_clause,[],[f2030,f2025,f2033])). 21.23/3.46 tff(f2033,plain,( 21.23/3.46 spl44_195 <=> mem(vertex,sK8(vertex,t2tb(sK19),t2tb(v1)),t2tb(v1))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_195])])). 21.23/3.46 tff(f2030,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(sK19),t2tb(v1)),t2tb(v1)) | spl44_194), 21.23/3.46 inference(resolution,[],[f2026,f290])). 21.23/3.46 tff(f2027,plain,( 21.23/3.46 ~spl44_194 | ~spl44_11 | spl44_167), 21.23/3.46 inference(avatar_split_clause,[],[f2018,f1781,f447,f2025])). 21.23/3.46 tff(f2018,plain,( 21.23/3.46 ~subset(vertex,t2tb(v1),t2tb(sK19)) | (~spl44_11 | spl44_167)), 21.23/3.46 inference(resolution,[],[f1859,f448])). 21.23/3.46 tff(f2013,plain,( 21.23/3.46 spl44_193 | ~spl44_176 | ~spl44_192), 21.23/3.46 inference(avatar_split_clause,[],[f2009,f2006,f1878,f2011])). 21.23/3.46 tff(f2011,plain,( 21.23/3.46 spl44_193 <=> t2tb2(sK22) = sK8(vertex,t2tb(sK16),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_193])])). 21.23/3.46 tff(f1878,plain,( 21.23/3.46 spl44_176 <=> sK8(vertex,t2tb(sK16),t2tb(sK26)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK26))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_176])])). 21.23/3.46 tff(f2006,plain,( 21.23/3.46 spl44_192 <=> sK22 = tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_192])])). 21.23/3.46 tff(f2009,plain,( 21.23/3.46 t2tb2(sK22) = sK8(vertex,t2tb(sK16),t2tb(sK26)) | (~spl44_176 | ~spl44_192)), 21.23/3.46 inference(backward_demodulation,[],[f1879,f2007])). 21.23/3.46 tff(f2007,plain,( 21.23/3.46 sK22 = tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK26))) | ~spl44_192), 21.23/3.46 inference(avatar_component_clause,[],[f2006])). 21.23/3.46 tff(f1879,plain,( 21.23/3.46 sK8(vertex,t2tb(sK16),t2tb(sK26)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK26)))) | ~spl44_176), 21.23/3.46 inference(avatar_component_clause,[],[f1878])). 21.23/3.46 tff(f2008,plain,( 21.23/3.46 spl44_191 | spl44_192 | ~spl44_171 | ~spl44_172), 21.23/3.46 inference(avatar_split_clause,[],[f2001,f1856,f1852,f2006,f2003])). 21.23/3.46 tff(f2003,plain,( 21.23/3.46 spl44_191 <=> ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK26)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK26)))))) | mem(vertex,t2tb2(X0),t2tb(sK27)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_191])])). 21.23/3.46 tff(f1852,plain,( 21.23/3.46 spl44_171 <=> mem(vertex,sK8(vertex,t2tb(sK16),t2tb(sK26)),t2tb(sK26))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_171])])). 21.23/3.46 tff(f1856,plain,( 21.23/3.46 spl44_172 <=> sort1(vertex,sK8(vertex,t2tb(sK16),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_172])])). 21.23/3.46 tff(f2001,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK26)) | mem(vertex,t2tb2(X0),t2tb(sK27)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK26)))))) | sK22 = tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK26)))) ) | (~spl44_171 | ~spl44_172)), 21.23/3.46 inference(subsumption_resolution,[],[f2000,f1857])). 21.23/3.46 tff(f1857,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK16),t2tb(sK26))) | ~spl44_172), 21.23/3.46 inference(avatar_component_clause,[],[f1856])). 21.23/3.46 tff(f2000,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (~sort1(vertex,sK8(vertex,t2tb(sK16),t2tb(sK26))) | sK22 = tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK26))) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK26)))))) | mem(vertex,t2tb2(X0),t2tb(sK26)) | mem(vertex,t2tb2(X0),t2tb(sK27))) ) | ~spl44_171), 21.23/3.46 inference(resolution,[],[f1853,f1147])). 21.23/3.46 tff(f1853,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(sK16),t2tb(sK26)),t2tb(sK26)) | ~spl44_171), 21.23/3.46 inference(avatar_component_clause,[],[f1852])). 21.23/3.46 tff(f1999,plain,( 21.23/3.46 spl44_190 | ~spl44_188), 21.23/3.46 inference(avatar_split_clause,[],[f1995,f1988,f1997])). 21.23/3.46 tff(f1997,plain,( 21.23/3.46 spl44_190 <=> sK8(vertex,t2tb(sK16),t2tb(v1)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK16),t2tb(v1))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_190])])). 21.23/3.46 tff(f1988,plain,( 21.23/3.46 spl44_188 <=> sort1(vertex,sK8(vertex,t2tb(sK16),t2tb(v1)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_188])])). 21.23/3.46 tff(f1995,plain,( 21.23/3.46 sK8(vertex,t2tb(sK16),t2tb(v1)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK16),t2tb(v1)))) | ~spl44_188), 21.23/3.46 inference(resolution,[],[f1989,f282])). 21.23/3.46 tff(f1989,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK16),t2tb(v1))) | ~spl44_188), 21.23/3.46 inference(avatar_component_clause,[],[f1988])). 21.23/3.46 tff(f1994,plain,( 21.23/3.46 spl44_189 | spl44_187), 21.23/3.46 inference(avatar_split_clause,[],[f1985,f1980,f1992])). 21.23/3.46 tff(f1992,plain,( 21.23/3.46 spl44_189 <=> mem(vertex,sK8(vertex,t2tb(sK16),t2tb(v1)),t2tb(v1))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_189])])). 21.23/3.46 tff(f1980,plain,( 21.23/3.46 spl44_187 <=> subset(vertex,t2tb(v1),t2tb(sK16))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_187])])). 21.23/3.46 tff(f1985,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(sK16),t2tb(v1)),t2tb(v1)) | spl44_187), 21.23/3.46 inference(resolution,[],[f1981,f290])). 21.23/3.46 tff(f1981,plain,( 21.23/3.46 ~subset(vertex,t2tb(v1),t2tb(sK16)) | spl44_187), 21.23/3.46 inference(avatar_component_clause,[],[f1980])). 21.23/3.46 tff(f1990,plain,( 21.23/3.46 spl44_188 | spl44_187), 21.23/3.46 inference(avatar_split_clause,[],[f1986,f1980,f1988])). 21.23/3.46 tff(f1986,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK16),t2tb(v1))) | spl44_187), 21.23/3.46 inference(resolution,[],[f1981,f289])). 21.23/3.46 tff(f1982,plain,( 21.23/3.46 ~spl44_187 | ~spl44_11 | spl44_164), 21.23/3.46 inference(avatar_split_clause,[],[f1973,f1769,f447,f1980])). 21.23/3.46 tff(f1973,plain,( 21.23/3.46 ~subset(vertex,t2tb(v1),t2tb(sK16)) | (~spl44_11 | spl44_164)), 21.23/3.46 inference(resolution,[],[f1847,f448])). 21.23/3.46 tff(f1972,plain,( 21.23/3.46 spl44_186 | spl44_165), 21.23/3.46 inference(avatar_split_clause,[],[f1963,f1773,f1970])). 21.23/3.46 tff(f1963,plain,( 21.23/3.46 mem(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26)),t2tb(sK26)) | spl44_165), 21.23/3.46 inference(resolution,[],[f1774,f290])). 21.23/3.46 tff(f1968,plain,( 21.23/3.46 spl44_185 | spl44_165), 21.23/3.46 inference(avatar_split_clause,[],[f1964,f1773,f1966])). 21.23/3.46 tff(f1964,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK26))) | spl44_165), 21.23/3.46 inference(resolution,[],[f1774,f289])). 21.23/3.46 tff(f1955,plain,( 21.23/3.46 spl44_184 | ~spl44_183), 21.23/3.46 inference(avatar_split_clause,[],[f1951,f1944,f1953])). 21.23/3.46 tff(f1953,plain,( 21.23/3.46 spl44_184 <=> sK8(vertex,empty(vertex),t2tb(v1)) = t2tb2(tb2t2(sK8(vertex,empty(vertex),t2tb(v1))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_184])])). 21.23/3.46 tff(f1944,plain,( 21.23/3.46 spl44_183 <=> sort1(vertex,sK8(vertex,empty(vertex),t2tb(v1)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_183])])). 21.23/3.46 tff(f1951,plain,( 21.23/3.46 sK8(vertex,empty(vertex),t2tb(v1)) = t2tb2(tb2t2(sK8(vertex,empty(vertex),t2tb(v1)))) | ~spl44_183), 21.23/3.46 inference(resolution,[],[f1945,f282])). 21.23/3.46 tff(f1945,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,empty(vertex),t2tb(v1))) | ~spl44_183), 21.23/3.46 inference(avatar_component_clause,[],[f1944])). 21.23/3.46 tff(f1946,plain,( 21.23/3.46 spl44_183 | spl44_181), 21.23/3.46 inference(avatar_split_clause,[],[f1938,f1932,f1944])). 21.23/3.46 tff(f1932,plain,( 21.23/3.46 spl44_181 <=> subset(vertex,t2tb(v1),empty(vertex))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_181])])). 21.23/3.46 tff(f1938,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,empty(vertex),t2tb(v1))) | spl44_181), 21.23/3.46 inference(resolution,[],[f1933,f289])). 21.23/3.46 tff(f1933,plain,( 21.23/3.46 ~subset(vertex,t2tb(v1),empty(vertex)) | spl44_181), 21.23/3.46 inference(avatar_component_clause,[],[f1932])). 21.23/3.46 tff(f1942,plain,( 21.23/3.46 spl44_182 | spl44_181), 21.23/3.46 inference(avatar_split_clause,[],[f1937,f1932,f1940])). 21.23/3.46 tff(f1940,plain,( 21.23/3.46 spl44_182 <=> mem(vertex,sK8(vertex,empty(vertex),t2tb(v1)),t2tb(v1))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_182])])). 21.23/3.46 tff(f1937,plain,( 21.23/3.46 mem(vertex,sK8(vertex,empty(vertex),t2tb(v1)),t2tb(v1)) | spl44_181), 21.23/3.46 inference(resolution,[],[f1933,f290])). 21.23/3.46 tff(f1934,plain,( 21.23/3.46 ~spl44_181 | ~spl44_11 | spl44_166), 21.23/3.46 inference(avatar_split_clause,[],[f1925,f1777,f447,f1932])). 21.23/3.46 tff(f1925,plain,( 21.23/3.46 ~subset(vertex,t2tb(v1),empty(vertex)) | (~spl44_11 | spl44_166)), 21.23/3.46 inference(resolution,[],[f1843,f448])). 21.23/3.46 tff(f1924,plain,( 21.23/3.46 spl44_179 | spl44_180 | ~spl44_168 | ~spl44_169), 21.23/3.46 inference(avatar_split_clause,[],[f1917,f1793,f1789,f1922,f1919])). 21.23/3.46 tff(f1919,plain,( 21.23/3.46 spl44_179 <=> sK22 = tb2t2(sK8(vertex,empty(vertex),t2tb(sK26)))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_179])])). 21.23/3.46 tff(f1922,plain,( 21.23/3.46 spl44_180 <=> ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK26)) | mem(vertex,t2tb2(X0),t2tb(sK27)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK8(vertex,empty(vertex),t2tb(sK26)))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_180])])). 21.23/3.46 tff(f1917,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK26)) | sK22 = tb2t2(sK8(vertex,empty(vertex),t2tb(sK26))) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK8(vertex,empty(vertex),t2tb(sK26)))))) | mem(vertex,t2tb2(X0),t2tb(sK27))) ) | (~spl44_168 | ~spl44_169)), 21.23/3.46 inference(subsumption_resolution,[],[f1916,f1790])). 21.23/3.46 tff(f1916,plain,( 21.23/3.46 ( ! [X0 : vertex1] : (sK22 = tb2t2(sK8(vertex,empty(vertex),t2tb(sK26))) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK8(vertex,empty(vertex),t2tb(sK26)))))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | mem(vertex,t2tb2(X0),t2tb(sK26)) | ~sort1(vertex,sK8(vertex,empty(vertex),t2tb(sK26)))) ) | ~spl44_169), 21.23/3.46 inference(resolution,[],[f1794,f1147])). 21.23/3.46 tff(f1897,plain,( 21.23/3.46 ~spl44_178 | ~spl44_11 | ~spl44_161), 21.23/3.46 inference(avatar_split_clause,[],[f1888,f1741,f447,f1895])). 21.23/3.46 tff(f1895,plain,( 21.23/3.46 spl44_178 <=> $less(cardinal1(vertex,t2tb(v1)),1)), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_178])])). 21.23/3.46 tff(f1888,plain,( 21.23/3.46 ~$less(cardinal1(vertex,t2tb(v1)),1) | (~spl44_11 | ~spl44_161)), 21.23/3.46 inference(resolution,[],[f1833,f448])). 21.23/3.46 tff(f1833,plain,( 21.23/3.46 ( ! [X0 : uni] : (~subset(vertex,t2tb(sK26),X0) | ~$less(cardinal1(vertex,X0),1)) ) | ~spl44_161), 21.23/3.46 inference(superposition,[],[f240,f1742])). 21.23/3.46 tff(f1885,plain,( 21.23/3.46 spl44_177 | ~spl44_174), 21.23/3.46 inference(avatar_split_clause,[],[f1881,f1868,f1883])). 21.23/3.46 tff(f1883,plain,( 21.23/3.46 spl44_177 <=> sK8(vertex,t2tb(sK19),t2tb(sK26)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK19),t2tb(sK26))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_177])])). 21.23/3.46 tff(f1881,plain,( 21.23/3.46 sK8(vertex,t2tb(sK19),t2tb(sK26)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK19),t2tb(sK26)))) | ~spl44_174), 21.23/3.46 inference(resolution,[],[f1869,f282])). 21.23/3.46 tff(f1880,plain,( 21.23/3.46 spl44_176 | ~spl44_172), 21.23/3.46 inference(avatar_split_clause,[],[f1876,f1856,f1878])). 21.23/3.46 tff(f1876,plain,( 21.23/3.46 sK8(vertex,t2tb(sK16),t2tb(sK26)) = t2tb2(tb2t2(sK8(vertex,t2tb(sK16),t2tb(sK26)))) | ~spl44_172), 21.23/3.46 inference(resolution,[],[f1857,f282])). 21.23/3.46 tff(f1875,plain,( 21.23/3.46 spl44_175 | ~spl44_168), 21.23/3.46 inference(avatar_split_clause,[],[f1871,f1789,f1873])). 21.23/3.46 tff(f1873,plain,( 21.23/3.46 spl44_175 <=> sK8(vertex,empty(vertex),t2tb(sK26)) = t2tb2(tb2t2(sK8(vertex,empty(vertex),t2tb(sK26))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_175])])). 21.23/3.46 tff(f1871,plain,( 21.23/3.46 sK8(vertex,empty(vertex),t2tb(sK26)) = t2tb2(tb2t2(sK8(vertex,empty(vertex),t2tb(sK26)))) | ~spl44_168), 21.23/3.46 inference(resolution,[],[f1790,f282])). 21.23/3.46 tff(f1870,plain,( 21.23/3.46 spl44_174 | spl44_167), 21.23/3.46 inference(avatar_split_clause,[],[f1862,f1781,f1868])). 21.23/3.46 tff(f1862,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK19),t2tb(sK26))) | spl44_167), 21.23/3.46 inference(resolution,[],[f1782,f289])). 21.23/3.46 tff(f1866,plain,( 21.23/3.46 spl44_173 | spl44_167), 21.23/3.46 inference(avatar_split_clause,[],[f1861,f1781,f1864])). 21.23/3.46 tff(f1861,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(sK19),t2tb(sK26)),t2tb(sK26)) | spl44_167), 21.23/3.46 inference(resolution,[],[f1782,f290])). 21.23/3.46 tff(f1858,plain,( 21.23/3.46 spl44_172 | spl44_164), 21.23/3.46 inference(avatar_split_clause,[],[f1850,f1769,f1856])). 21.23/3.46 tff(f1850,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,t2tb(sK16),t2tb(sK26))) | spl44_164), 21.23/3.46 inference(resolution,[],[f1770,f289])). 21.23/3.46 tff(f1854,plain,( 21.23/3.46 spl44_171 | spl44_164), 21.23/3.46 inference(avatar_split_clause,[],[f1849,f1769,f1852])). 21.23/3.46 tff(f1849,plain,( 21.23/3.46 mem(vertex,sK8(vertex,t2tb(sK16),t2tb(sK26)),t2tb(sK26)) | spl44_164), 21.23/3.46 inference(resolution,[],[f1770,f290])). 21.23/3.46 tff(f1802,plain,( 21.23/3.46 spl44_90 | ~spl44_99), 21.23/3.46 inference(avatar_split_clause,[],[f1059,f1052,f927])). 21.23/3.46 tff(f1052,plain,( 21.23/3.46 spl44_99 <=> 0 = cardinal1(vertex,t2tb(sK19))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_99])])). 21.23/3.46 tff(f1059,plain,( 21.23/3.46 is_empty(vertex,t2tb(sK19)) | ~spl44_99), 21.23/3.46 inference(trivial_inequality_removal,[],[f1057])). 21.23/3.46 tff(f1057,plain,( 21.23/3.46 is_empty(vertex,t2tb(sK19)) | 0 != 0 | ~spl44_99), 21.23/3.46 inference(superposition,[],[f227,f1053])). 21.23/3.46 tff(f1053,plain,( 21.23/3.46 0 = cardinal1(vertex,t2tb(sK19)) | ~spl44_99), 21.23/3.46 inference(avatar_component_clause,[],[f1052])). 21.23/3.46 tff(f1801,plain,( 21.23/3.46 spl44_170 | spl44_161 | ~spl44_78 | ~spl44_99), 21.23/3.46 inference(avatar_split_clause,[],[f1797,f1052,f803,f1741,f1799])). 21.23/3.46 tff(f1797,plain,( 21.23/3.46 mem(vertex,t2tb2(sK22),t2tb(sK19)) | 1 = cardinal1(vertex,t2tb(sK26)) | (~spl44_78 | ~spl44_99)), 21.23/3.46 inference(evaluation,[],[f1796])). 21.23/3.46 tff(f1796,plain,( 21.23/3.46 cardinal1(vertex,t2tb(sK26)) = $sum(1,0) | mem(vertex,t2tb2(sK22),t2tb(sK19)) | (~spl44_78 | ~spl44_99)), 21.23/3.46 inference(forward_demodulation,[],[f1726,f1053])). 21.23/3.46 tff(f1795,plain,( 21.23/3.46 spl44_169 | spl44_166), 21.23/3.46 inference(avatar_split_clause,[],[f1786,f1777,f1793])). 21.23/3.46 tff(f1786,plain,( 21.23/3.46 mem(vertex,sK8(vertex,empty(vertex),t2tb(sK26)),t2tb(sK26)) | spl44_166), 21.23/3.46 inference(resolution,[],[f1778,f290])). 21.23/3.46 tff(f1791,plain,( 21.23/3.46 spl44_168 | spl44_166), 21.23/3.46 inference(avatar_split_clause,[],[f1787,f1777,f1789])). 21.23/3.46 tff(f1787,plain,( 21.23/3.46 sort1(vertex,sK8(vertex,empty(vertex),t2tb(sK26))) | spl44_166), 21.23/3.46 inference(resolution,[],[f1778,f289])). 21.23/3.46 tff(f1783,plain,( 21.23/3.46 ~spl44_167 | ~spl44_99 | ~spl44_161), 21.23/3.46 inference(avatar_split_clause,[],[f1754,f1741,f1052,f1781])). 21.23/3.46 tff(f1754,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),t2tb(sK19)) | (~spl44_99 | ~spl44_161)), 21.23/3.46 inference(evaluation,[],[f1747])). 21.23/3.46 tff(f1747,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),t2tb(sK19)) | ~$less(0,1) | (~spl44_99 | ~spl44_161)), 21.23/3.46 inference(superposition,[],[f1118,f1742])). 21.23/3.46 tff(f1118,plain,( 21.23/3.46 ( ! [X0 : uni] : (~$less(0,cardinal1(vertex,X0)) | ~subset(vertex,X0,t2tb(sK19))) ) | ~spl44_99), 21.23/3.46 inference(superposition,[],[f240,f1053])). 21.23/3.46 tff(f1779,plain,( 21.23/3.46 ~spl44_166 | ~spl44_161), 21.23/3.46 inference(avatar_split_clause,[],[f1755,f1741,f1777])). 21.23/3.46 tff(f1755,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),empty(vertex)) | ~spl44_161), 21.23/3.46 inference(evaluation,[],[f1749])). 21.23/3.46 tff(f1749,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),empty(vertex)) | ~$less(0,1) | ~spl44_161), 21.23/3.46 inference(superposition,[],[f1116,f1742])). 21.23/3.46 tff(f1775,plain,( 21.23/3.46 ~spl44_165 | ~spl44_147 | ~spl44_161), 21.23/3.46 inference(avatar_split_clause,[],[f1756,f1741,f1458,f1773])). 21.23/3.46 tff(f1756,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),remove(vertex,t2tb2(sK22),t2tb(sK26))) | (~spl44_147 | ~spl44_161)), 21.23/3.46 inference(evaluation,[],[f1745])). 21.23/3.46 tff(f1745,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),remove(vertex,t2tb2(sK22),t2tb(sK26))) | ~$less(0,1) | (~spl44_147 | ~spl44_161)), 21.23/3.46 inference(superposition,[],[f1466,f1742])). 21.23/3.46 tff(f1466,plain,( 21.23/3.46 ( ! [X0 : uni] : (~$less(0,cardinal1(vertex,X0)) | ~subset(vertex,X0,remove(vertex,t2tb2(sK22),t2tb(sK26)))) ) | ~spl44_147), 21.23/3.46 inference(superposition,[],[f240,f1459])). 21.23/3.46 tff(f1771,plain,( 21.23/3.46 ~spl44_164 | ~spl44_86 | ~spl44_161), 21.23/3.46 inference(avatar_split_clause,[],[f1757,f1741,f903,f1769])). 21.23/3.46 tff(f1757,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),t2tb(sK16)) | (~spl44_86 | ~spl44_161)), 21.23/3.46 inference(evaluation,[],[f1748])). 21.23/3.46 tff(f1748,plain,( 21.23/3.46 ~$less(0,1) | ~subset(vertex,t2tb(sK26),t2tb(sK16)) | (~spl44_86 | ~spl44_161)), 21.23/3.46 inference(superposition,[],[f1117,f1742])). 21.23/3.46 tff(f1767,plain,( 21.23/3.46 ~spl44_163 | ~spl44_118 | ~spl44_161), 21.23/3.46 inference(avatar_split_clause,[],[f1758,f1741,f1234,f1765])). 21.23/3.46 tff(f1758,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | (~spl44_118 | ~spl44_161)), 21.23/3.46 inference(evaluation,[],[f1746])). 21.23/3.46 tff(f1746,plain,( 21.23/3.46 ~$less(0,1) | ~subset(vertex,t2tb(sK26),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | (~spl44_118 | ~spl44_161)), 21.23/3.46 inference(superposition,[],[f1243,f1742])). 21.23/3.46 tff(f1763,plain,( 21.23/3.46 ~spl44_162 | ~spl44_153 | ~spl44_161), 21.23/3.46 inference(avatar_split_clause,[],[f1759,f1741,f1507,f1761])). 21.23/3.46 tff(f1761,plain,( 21.23/3.46 spl44_162 <=> subset(vertex,t2tb(sK26),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_162])])). 21.23/3.46 tff(f1759,plain,( 21.23/3.46 ~subset(vertex,t2tb(sK26),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | (~spl44_153 | ~spl44_161)), 21.23/3.46 inference(evaluation,[],[f1744])). 21.23/3.46 tff(f1744,plain,( 21.23/3.46 ~$less(0,1) | ~subset(vertex,t2tb(sK26),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | (~spl44_153 | ~spl44_161)), 21.23/3.46 inference(superposition,[],[f1518,f1742])). 21.23/3.46 tff(f1743,plain,( 21.23/3.46 spl44_161 | ~spl44_78 | ~spl44_90 | ~spl44_99), 21.23/3.46 inference(avatar_split_clause,[],[f1739,f1052,f927,f803,f1741])). 21.23/3.46 tff(f1739,plain,( 21.23/3.46 1 = cardinal1(vertex,t2tb(sK26)) | (~spl44_78 | ~spl44_90 | ~spl44_99)), 21.23/3.46 inference(evaluation,[],[f1738])). 21.23/3.46 tff(f1738,plain,( 21.23/3.46 cardinal1(vertex,t2tb(sK26)) = $sum(1,0) | (~spl44_78 | ~spl44_90 | ~spl44_99)), 21.23/3.46 inference(forward_demodulation,[],[f1737,f1053])). 21.23/3.46 tff(f1737,plain,( 21.23/3.46 cardinal1(vertex,t2tb(sK26)) = $sum(1,cardinal1(vertex,t2tb(sK19))) | (~spl44_78 | ~spl44_90)), 21.23/3.46 inference(subsumption_resolution,[],[f1726,f1037])). 21.23/3.46 tff(f1037,plain,( 21.23/3.46 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK19))) ) | ~spl44_90), 21.23/3.46 inference(resolution,[],[f928,f398])). 21.23/3.46 tff(f928,plain,( 21.23/3.46 is_empty(vertex,t2tb(sK19)) | ~spl44_90), 21.23/3.46 inference(avatar_component_clause,[],[f927])). 21.23/3.46 tff(f1709,plain,( 21.23/3.46 spl44_160 | ~spl44_24 | ~spl44_159), 21.23/3.46 inference(avatar_split_clause,[],[f1705,f1699,f497,f1707])). 21.23/3.46 tff(f1707,plain,( 21.23/3.46 spl44_160 <=> $less(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31))),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_160])])). 21.23/3.46 tff(f497,plain,( 21.23/3.46 spl44_24 <=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31))))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_24])])). 21.23/3.46 tff(f1705,plain,( 21.23/3.46 $less(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31))),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31)))) | (~spl44_24 | ~spl44_159)), 21.23/3.46 inference(backward_demodulation,[],[f498,f1700])). 21.23/3.46 tff(f498,plain,( 21.23/3.46 $less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31)))) | ~spl44_24), 21.23/3.46 inference(avatar_component_clause,[],[f497])). 21.23/3.46 tff(f1701,plain,( 21.23/3.46 spl44_159 | ~spl44_156), 21.23/3.46 inference(avatar_split_clause,[],[f1696,f1682,f1699])). 21.23/3.46 tff(f1682,plain,( 21.23/3.46 spl44_156 <=> t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31))) = get(int,vertex,t2tb1(sK36),t2tb2(sK31))), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_156])])). 21.23/3.46 tff(f1696,plain,( 21.23/3.46 $sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)) = tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31))) | ~spl44_156), 21.23/3.46 inference(superposition,[],[f299,f1683])). 21.23/3.46 tff(f1683,plain,( 21.23/3.46 t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31))) = get(int,vertex,t2tb1(sK36),t2tb2(sK31)) | ~spl44_156), 21.23/3.46 inference(avatar_component_clause,[],[f1682])). 21.23/3.46 tff(f299,plain,( 21.23/3.46 ( ! [X0 : $int] : (tb2t3(t2tb3(X0)) = X0) )), 21.23/3.46 inference(cnf_transformation,[],[f136])). 21.23/3.46 tff(f136,plain,( 21.23/3.46 ! [X0 : $int] : tb2t3(t2tb3(X0)) = X0), 21.23/3.46 inference(rectify,[],[f43])). 21.23/3.46 tff(f43,axiom,( 21.23/3.46 ! [X19 : $int] : tb2t3(t2tb3(X19)) = X19), 21.23/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.46 tff(f1694,plain,( 21.23/3.46 spl44_158 | ~spl44_63 | ~spl44_156), 21.23/3.46 inference(avatar_split_clause,[],[f1690,f1682,f714,f1692])). 21.23/3.46 tff(f714,plain,( 21.23/3.46 spl44_63 <=> set1(int,vertex,t2tb1(sK29),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)))) = t2tb1(sK36)), 21.23/3.46 introduced(avatar_definition,[new_symbols(naming,[spl44_63])])). 21.23/3.46 tff(f1690,plain,( 21.23/3.46 t2tb1(sK36) = set1(int,vertex,t2tb1(sK29),t2tb2(sK31),get(int,vertex,t2tb1(sK36),t2tb2(sK31))) | (~spl44_63 | ~spl44_156)), 21.23/3.46 inference(backward_demodulation,[],[f715,f1683])). 21.23/3.47 tff(f715,plain,( 21.23/3.47 set1(int,vertex,t2tb1(sK29),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)))) = t2tb1(sK36) | ~spl44_63), 21.23/3.47 inference(avatar_component_clause,[],[f714])). 21.23/3.47 tff(f1689,plain,( 21.23/3.47 spl44_157 | ~spl44_64), 21.23/3.47 inference(avatar_split_clause,[],[f1685,f720,f1687])). 21.23/3.47 tff(f1687,plain,( 21.23/3.47 spl44_157 <=> get(int,vertex,t2tb1(sK36),t2tb2(sK31)) = t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_157])])). 21.23/3.47 tff(f720,plain,( 21.23/3.47 spl44_64 <=> t2tb1(sK36) = set1(int,vertex,t2tb1(sK36),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_64])])). 21.23/3.47 tff(f1685,plain,( 21.23/3.47 get(int,vertex,t2tb1(sK36),t2tb2(sK31)) = t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31))) | ~spl44_64), 21.23/3.47 inference(subsumption_resolution,[],[f1668,f278])). 21.23/3.47 tff(f278,plain,( 21.23/3.47 ( ! [X0 : $int] : (sort1(int,t2tb3(X0))) )), 21.23/3.47 inference(cnf_transformation,[],[f119])). 21.23/3.47 tff(f119,plain,( 21.23/3.47 ! [X0 : $int] : sort1(int,t2tb3(X0))), 21.23/3.47 inference(rectify,[],[f26])). 21.23/3.47 tff(f26,axiom,( 21.23/3.47 ! [X7 : $int] : sort1(int,t2tb3(X7))), 21.23/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.47 tff(f1668,plain,( 21.23/3.47 get(int,vertex,t2tb1(sK36),t2tb2(sK31)) = t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31))) | ~sort1(int,t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31)))) | ~spl44_64), 21.23/3.47 inference(superposition,[],[f405,f721])). 21.23/3.47 tff(f721,plain,( 21.23/3.47 t2tb1(sK36) = set1(int,vertex,t2tb1(sK36),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31)))) | ~spl44_64), 21.23/3.47 inference(avatar_component_clause,[],[f720])). 21.23/3.47 tff(f405,plain,( 21.23/3.47 ( ! [X2 : uni,X3 : uni,X1 : ty,X4 : ty,X5 : uni] : (get(X1,X4,set1(X1,X4,X5,X3,X2),X3) = X2 | ~sort1(X1,X2)) )), 21.23/3.47 inference(equality_resolution,[],[f241])). 21.23/3.47 tff(f241,plain,( 21.23/3.47 ( ! [X2 : uni,X3 : uni,X0 : uni,X1 : ty,X4 : ty,X5 : uni] : (~sort1(X1,X2) | get(X1,X4,set1(X1,X4,X5,X0,X2),X3) = X2 | X0 != X3) )), 21.23/3.47 inference(cnf_transformation,[],[f189])). 21.23/3.47 tff(f189,plain,( 21.23/3.47 ! [X4 : ty,X1 : ty,X5 : uni,X2 : uni,X3 : uni,X0 : uni] : (X0 != X3 | get(X1,X4,set1(X1,X4,X5,X0,X2),X3) = X2 | ~sort1(X1,X2))), 21.23/3.47 inference(flattening,[],[f188])). 21.23/3.47 tff(f188,plain,( 21.23/3.47 ! [X1 : ty,X0 : uni,X3 : uni,X4 : ty,X2 : uni,X5 : uni] : ((get(X1,X4,set1(X1,X4,X5,X0,X2),X3) = X2 | X0 != X3) | ~sort1(X1,X2))), 21.23/3.47 inference(ennf_transformation,[],[f127])). 21.23/3.47 tff(f127,plain,( 21.23/3.47 ! [X1 : ty,X0 : uni,X3 : uni,X4 : ty,X2 : uni,X5 : uni] : (sort1(X1,X2) => (X0 = X3 => get(X1,X4,set1(X1,X4,X5,X0,X2),X3) = X2))), 21.23/3.47 inference(rectify,[],[f32])). 21.23/3.47 tff(f32,axiom,( 21.23/3.47 ! [X16 : uni,X15 : ty,X18 : uni,X17 : uni,X0 : ty,X9 : uni] : (sort1(X15,X18) => (X16 = X17 => get(X15,X0,set1(X15,X0,X9,X16,X18),X17) = X18))), 21.23/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.47 tff(f1684,plain,( 21.23/3.47 spl44_156 | ~spl44_63), 21.23/3.47 inference(avatar_split_clause,[],[f1680,f714,f1682])). 21.23/3.47 tff(f1680,plain,( 21.23/3.47 t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31))) = get(int,vertex,t2tb1(sK36),t2tb2(sK31)) | ~spl44_63), 21.23/3.47 inference(subsumption_resolution,[],[f1667,f278])). 21.23/3.47 tff(f1667,plain,( 21.23/3.47 t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31))) = get(int,vertex,t2tb1(sK36),t2tb2(sK31)) | ~sort1(int,t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)))) | ~spl44_63), 21.23/3.47 inference(superposition,[],[f405,f715])). 21.23/3.47 tff(f1663,plain,( 21.23/3.47 ~spl44_154 | spl44_155), 21.23/3.47 inference(avatar_split_clause,[],[f1656,f1661,f1658])). 21.23/3.47 tff(f1658,plain,( 21.23/3.47 spl44_154 <=> mem(vertex,sK41(vertex,t2tb(sK26)),t2tb(sK27))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_154])])). 21.23/3.47 tff(f1661,plain,( 21.23/3.47 spl44_155 <=> ! [X0 : uni] : ~mem(vertex,X0,t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_155])])). 21.23/3.47 tff(f1656,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,sK41(vertex,t2tb(sK26)),t2tb(sK27)) | ~mem(vertex,X0,t2tb(sK26))) )), 21.23/3.47 inference(subsumption_resolution,[],[f1655,f398])). 21.23/3.47 tff(f1655,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,sK41(vertex,t2tb(sK26)),t2tb(sK27)) | ~mem(vertex,X0,t2tb(sK26)) | is_empty(vertex,t2tb(sK26))) )), 21.23/3.47 inference(resolution,[],[f1637,f397])). 21.23/3.47 tff(f1509,plain,( 21.23/3.47 spl44_153 | ~spl44_148), 21.23/3.47 inference(avatar_split_clause,[],[f1504,f1487,f1507])). 21.23/3.47 tff(f1487,plain,( 21.23/3.47 spl44_148 <=> is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_148])])). 21.23/3.47 tff(f1504,plain,( 21.23/3.47 0 = cardinal1(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | ~spl44_148), 21.23/3.47 inference(resolution,[],[f1488,f228])). 21.23/3.47 tff(f1488,plain,( 21.23/3.47 is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | ~spl44_148), 21.23/3.47 inference(avatar_component_clause,[],[f1487])). 21.23/3.47 tff(f1503,plain,( 21.23/3.47 spl44_151 | spl44_152 | spl44_148 | ~spl44_143), 21.23/3.47 inference(avatar_split_clause,[],[f1496,f1407,f1487,f1501,f1498])). 21.23/3.47 tff(f1498,plain,( 21.23/3.47 spl44_151 <=> mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))),t2tb(sK27))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_151])])). 21.23/3.47 tff(f1501,plain,( 21.23/3.47 spl44_152 <=> mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))),t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_152])])). 21.23/3.47 tff(f1407,plain,( 21.23/3.47 spl44_143 <=> ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK26)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | mem(vertex,t2tb2(X0),t2tb(sK27)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_143])])). 21.23/3.47 tff(f1496,plain,( 21.23/3.47 mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))),t2tb(sK27)) | is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))),t2tb(sK26)) | ~spl44_143), 21.23/3.47 inference(subsumption_resolution,[],[f1484,f396])). 21.23/3.47 tff(f1484,plain,( 21.23/3.47 mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))),t2tb(sK26)) | mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))),t2tb(sK27)) | ~sort1(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))))))) | is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | ~spl44_143), 21.23/3.47 inference(resolution,[],[f1482,f397])). 21.23/3.47 tff(f1482,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | ~sort1(vertex,X0) | mem(vertex,X0,t2tb(sK27)) | mem(vertex,X0,t2tb(sK26))) ) | ~spl44_143), 21.23/3.47 inference(superposition,[],[f1418,f232])). 21.23/3.47 tff(f1418,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,contents(vertex,X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | mem(vertex,contents(vertex,X0),t2tb(sK27)) | mem(vertex,contents(vertex,X0),t2tb(sK26))) ) | ~spl44_143), 21.23/3.47 inference(superposition,[],[f1408,f731])). 21.23/3.47 tff(f1408,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | mem(vertex,t2tb2(X0),t2tb(sK26))) ) | ~spl44_143), 21.23/3.47 inference(avatar_component_clause,[],[f1407])). 21.23/3.47 tff(f1495,plain,( 21.23/3.47 spl44_148 | spl44_149 | spl44_150 | ~spl44_143), 21.23/3.47 inference(avatar_split_clause,[],[f1485,f1407,f1493,f1490,f1487])). 21.23/3.47 tff(f1490,plain,( 21.23/3.47 spl44_149 <=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))),t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_149])])). 21.23/3.47 tff(f1493,plain,( 21.23/3.47 spl44_150 <=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))),t2tb(sK27))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_150])])). 21.23/3.47 tff(f1485,plain,( 21.23/3.47 mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))),t2tb(sK26)) | mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))),t2tb(sK27)) | is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | ~spl44_143), 21.23/3.47 inference(subsumption_resolution,[],[f1483,f288])). 21.23/3.47 tff(f1483,plain,( 21.23/3.47 mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))),t2tb(sK26)) | mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))),t2tb(sK27)) | is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | ~sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))))))) | ~spl44_143), 21.23/3.47 inference(resolution,[],[f1482,f251])). 21.23/3.47 tff(f1460,plain,( 21.23/3.47 spl44_147 | ~spl44_146), 21.23/3.47 inference(avatar_split_clause,[],[f1455,f1452,f1458])). 21.23/3.47 tff(f1455,plain,( 21.23/3.47 0 = cardinal1(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))) | ~spl44_146), 21.23/3.47 inference(resolution,[],[f1453,f228])). 21.23/3.47 tff(f1453,plain,( 21.23/3.47 is_empty(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))) | ~spl44_146), 21.23/3.47 inference(avatar_component_clause,[],[f1452])). 21.23/3.47 tff(f1454,plain,( 21.23/3.47 spl44_146 | ~spl44_90 | ~spl44_128), 21.23/3.47 inference(avatar_split_clause,[],[f1449,f1306,f927,f1452])). 21.23/3.47 tff(f1449,plain,( 21.23/3.47 is_empty(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26))) | (~spl44_90 | ~spl44_128)), 21.23/3.47 inference(resolution,[],[f1448,f251])). 21.23/3.47 tff(f1448,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,X0,remove(vertex,t2tb2(sK22),t2tb(sK26)))) ) | (~spl44_90 | ~spl44_128)), 21.23/3.47 inference(subsumption_resolution,[],[f1441,f1037])). 21.23/3.47 tff(f1441,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,X0,remove(vertex,t2tb2(sK22),t2tb(sK26))) | mem(vertex,X0,t2tb(sK19))) ) | ~spl44_128), 21.23/3.47 inference(resolution,[],[f292,f1307])). 21.23/3.47 tff(f1425,plain,( 21.23/3.47 ~spl44_145 | ~spl44_65 | spl44_66 | spl44_67 | ~spl44_143), 21.23/3.47 inference(avatar_split_clause,[],[f1421,f1407,f752,f749,f735,f1423])). 21.23/3.47 tff(f1423,plain,( 21.23/3.47 spl44_145 <=> mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_145])])). 21.23/3.47 tff(f735,plain,( 21.23/3.47 spl44_65 <=> witness1(vertex) = t2tb2(tb2t2(witness1(vertex)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_65])])). 21.23/3.47 tff(f749,plain,( 21.23/3.47 spl44_66 <=> mem(vertex,witness1(vertex),t2tb(sK27))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_66])])). 21.23/3.47 tff(f752,plain,( 21.23/3.47 spl44_67 <=> mem(vertex,witness1(vertex),t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_67])])). 21.23/3.47 tff(f1421,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | (~spl44_65 | spl44_66 | spl44_67 | ~spl44_143)), 21.23/3.47 inference(subsumption_resolution,[],[f1420,f753])). 21.23/3.47 tff(f753,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(sK26)) | spl44_67), 21.23/3.47 inference(avatar_component_clause,[],[f752])). 21.23/3.47 tff(f1420,plain,( 21.23/3.47 mem(vertex,witness1(vertex),t2tb(sK26)) | ~mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | (~spl44_65 | spl44_66 | ~spl44_143)), 21.23/3.47 inference(subsumption_resolution,[],[f1417,f750])). 21.23/3.47 tff(f750,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(sK27)) | spl44_66), 21.23/3.47 inference(avatar_component_clause,[],[f749])). 21.23/3.47 tff(f1417,plain,( 21.23/3.47 mem(vertex,witness1(vertex),t2tb(sK27)) | mem(vertex,witness1(vertex),t2tb(sK26)) | ~mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | (~spl44_65 | ~spl44_143)), 21.23/3.47 inference(superposition,[],[f1408,f736])). 21.23/3.47 tff(f736,plain,( 21.23/3.47 witness1(vertex) = t2tb2(tb2t2(witness1(vertex))) | ~spl44_65), 21.23/3.47 inference(avatar_component_clause,[],[f735])). 21.23/3.47 tff(f1415,plain,( 21.23/3.47 ~spl44_141 | ~spl44_144 | ~spl44_140), 21.23/3.47 inference(avatar_split_clause,[],[f1410,f1395,f1413,f1398])). 21.23/3.47 tff(f1398,plain,( 21.23/3.47 spl44_141 <=> mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_141])])). 21.23/3.47 tff(f1413,plain,( 21.23/3.47 spl44_144 <=> sort1(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_144])])). 21.23/3.47 tff(f1395,plain,( 21.23/3.47 spl44_140 <=> mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK27))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_140])])). 21.23/3.47 tff(f1410,plain,( 21.23/3.47 ~sort1(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))) | ~mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK26)) | ~spl44_140), 21.23/3.47 inference(resolution,[],[f1396,f946])). 21.23/3.47 tff(f946,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK27)) | ~sort1(vertex,X0) | ~mem(vertex,X0,t2tb(sK26))) )), 21.23/3.47 inference(superposition,[],[f869,f232])). 21.23/3.47 tff(f869,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,contents(vertex,X0),t2tb(sK27)) | ~mem(vertex,contents(vertex,X0),t2tb(sK26))) )), 21.23/3.47 inference(superposition,[],[f358,f731])). 21.23/3.47 tff(f1396,plain,( 21.23/3.47 mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK27)) | ~spl44_140), 21.23/3.47 inference(avatar_component_clause,[],[f1395])). 21.23/3.47 tff(f1409,plain,( 21.23/3.47 spl44_142 | spl44_143 | ~spl44_137), 21.23/3.47 inference(avatar_split_clause,[],[f1402,f1384,f1407,f1404])). 21.23/3.47 tff(f1404,plain,( 21.23/3.47 spl44_142 <=> sK22 = tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_142])])). 21.23/3.47 tff(f1402,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK26)) | mem(vertex,t2tb2(X0),t2tb(sK27)) | sK22 = tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))))))) ) | ~spl44_137), 21.23/3.47 inference(subsumption_resolution,[],[f1401,f288])). 21.23/3.47 tff(f1401,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (~sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | sK22 = tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))))) | mem(vertex,t2tb2(X0),t2tb(sK26))) ) | ~spl44_137), 21.23/3.47 inference(resolution,[],[f1385,f1147])). 21.23/3.47 tff(f1400,plain,( 21.23/3.47 spl44_140 | spl44_139 | spl44_141 | ~spl44_129), 21.23/3.47 inference(avatar_split_clause,[],[f1393,f1325,f1398,f1390,f1395])). 21.23/3.47 tff(f1390,plain,( 21.23/3.47 spl44_139 <=> is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_139])])). 21.23/3.47 tff(f1325,plain,( 21.23/3.47 spl44_129 <=> ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK27)) | mem(vertex,t2tb2(X0),t2tb(sK26)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_129])])). 21.23/3.47 tff(f1393,plain,( 21.23/3.47 mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK26)) | mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK27)) | is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | ~spl44_129), 21.23/3.47 inference(subsumption_resolution,[],[f1381,f396])). 21.23/3.47 tff(f1381,plain,( 21.23/3.47 is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | ~sort1(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))) | mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK26)) | mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK27)) | ~spl44_129), 21.23/3.47 inference(resolution,[],[f1379,f397])). 21.23/3.47 tff(f1379,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | mem(vertex,X0,t2tb(sK26)) | mem(vertex,X0,t2tb(sK27)) | ~sort1(vertex,X0)) ) | ~spl44_129), 21.23/3.47 inference(superposition,[],[f1371,f232])). 21.23/3.47 tff(f1371,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,contents(vertex,X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | mem(vertex,contents(vertex,X0),t2tb(sK26)) | mem(vertex,contents(vertex,X0),t2tb(sK27))) ) | ~spl44_129), 21.23/3.47 inference(superposition,[],[f1326,f731])). 21.23/3.47 tff(f1326,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | mem(vertex,t2tb2(X0),t2tb(sK26)) | mem(vertex,t2tb2(X0),t2tb(sK27))) ) | ~spl44_129), 21.23/3.47 inference(avatar_component_clause,[],[f1325])). 21.23/3.47 tff(f1392,plain,( 21.23/3.47 spl44_137 | spl44_138 | spl44_139 | ~spl44_129), 21.23/3.47 inference(avatar_split_clause,[],[f1382,f1325,f1390,f1387,f1384])). 21.23/3.47 tff(f1387,plain,( 21.23/3.47 spl44_138 <=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK27))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_138])])). 21.23/3.47 tff(f1382,plain,( 21.23/3.47 mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK26)) | is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK27)) | ~spl44_129), 21.23/3.47 inference(subsumption_resolution,[],[f1380,f288])). 21.23/3.47 tff(f1380,plain,( 21.23/3.47 is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK26)) | ~sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))) | mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))),t2tb(sK27)) | ~spl44_129), 21.23/3.47 inference(resolution,[],[f1379,f251])). 21.23/3.47 tff(f1378,plain,( 21.23/3.47 ~spl44_136 | ~spl44_65 | spl44_66 | spl44_67 | ~spl44_129), 21.23/3.47 inference(avatar_split_clause,[],[f1374,f1325,f752,f749,f735,f1376])). 21.23/3.47 tff(f1376,plain,( 21.23/3.47 spl44_136 <=> mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_136])])). 21.23/3.47 tff(f1374,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | (~spl44_65 | spl44_66 | spl44_67 | ~spl44_129)), 21.23/3.47 inference(subsumption_resolution,[],[f1373,f750])). 21.23/3.47 tff(f1373,plain,( 21.23/3.47 mem(vertex,witness1(vertex),t2tb(sK27)) | ~mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | (~spl44_65 | spl44_67 | ~spl44_129)), 21.23/3.47 inference(subsumption_resolution,[],[f1370,f753])). 21.23/3.47 tff(f1370,plain,( 21.23/3.47 mem(vertex,witness1(vertex),t2tb(sK26)) | mem(vertex,witness1(vertex),t2tb(sK27)) | ~mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | (~spl44_65 | ~spl44_129)), 21.23/3.47 inference(superposition,[],[f1326,f736])). 21.23/3.47 tff(f1369,plain,( 21.23/3.47 ~spl44_133 | spl44_132 | ~spl44_130), 21.23/3.47 inference(avatar_split_clause,[],[f1334,f1328,f1350,f1353])). 21.23/3.47 tff(f1353,plain,( 21.23/3.47 spl44_133 <=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK18))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_133])])). 21.23/3.47 tff(f1350,plain,( 21.23/3.47 spl44_132 <=> path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_132])])). 21.23/3.47 tff(f1328,plain,( 21.23/3.47 spl44_130 <=> sK22 = tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_130])])). 21.23/3.47 tff(f1334,plain,( 21.23/3.47 ~mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK18)) | path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))) | ~spl44_130), 21.23/3.47 inference(superposition,[],[f891,f1329])). 21.23/3.47 tff(f1329,plain,( 21.23/3.47 sK22 = tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))) | ~spl44_130), 21.23/3.47 inference(avatar_component_clause,[],[f1328])). 21.23/3.47 tff(f891,plain,( 21.23/3.47 ( ! [X0 : uni] : (path1(sK12,tb2t2(choose(vertex,X0)),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,X0)))) | ~mem(vertex,choose(vertex,X0),t2tb(sK18))) )), 21.23/3.47 inference(superposition,[],[f385,f732])). 21.23/3.47 tff(f1366,plain,( 21.23/3.47 spl44_134 | ~spl44_120 | ~spl44_130), 21.23/3.47 inference(avatar_split_clause,[],[f1365,f1328,f1265,f1357])). 21.23/3.47 tff(f1357,plain,( 21.23/3.47 spl44_134 <=> path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_134])])). 21.23/3.47 tff(f1265,plain,( 21.23/3.47 spl44_120 <=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK27))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_120])])). 21.23/3.47 tff(f1365,plain,( 21.23/3.47 path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))) | ~mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK27)) | ~spl44_130), 21.23/3.47 inference(subsumption_resolution,[],[f1341,f288])). 21.23/3.47 tff(f1341,plain,( 21.23/3.47 path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))) | ~mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK27)) | ~sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))) | ~spl44_130), 21.23/3.47 inference(superposition,[],[f948,f1329])). 21.23/3.47 tff(f1364,plain,( 21.23/3.47 spl44_135 | ~spl44_130), 21.23/3.47 inference(avatar_split_clause,[],[f1337,f1328,f1362])). 21.23/3.47 tff(f1362,plain,( 21.23/3.47 spl44_135 <=> t2tb2(sK22) = choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_135])])). 21.23/3.47 tff(f1337,plain,( 21.23/3.47 t2tb2(sK22) = choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | ~spl44_130), 21.23/3.47 inference(superposition,[],[f732,f1329])). 21.23/3.47 tff(f1360,plain,( 21.23/3.47 spl44_134 | ~spl44_120 | ~spl44_130), 21.23/3.47 inference(avatar_split_clause,[],[f1335,f1328,f1265,f1357])). 21.23/3.47 tff(f1335,plain,( 21.23/3.47 path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))) | ~mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK27)) | ~spl44_130), 21.23/3.47 inference(superposition,[],[f886,f1329])). 21.23/3.47 tff(f1355,plain,( 21.23/3.47 spl44_132 | ~spl44_133 | ~spl44_130), 21.23/3.47 inference(avatar_split_clause,[],[f1348,f1328,f1353,f1350])). 21.23/3.47 tff(f1348,plain,( 21.23/3.47 ~mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK18)) | path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))) | ~spl44_130), 21.23/3.47 inference(subsumption_resolution,[],[f1340,f288])). 21.23/3.47 tff(f1340,plain,( 21.23/3.47 ~sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))) | path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))) | ~mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK18)) | ~spl44_130), 21.23/3.47 inference(superposition,[],[f953,f1329])). 21.23/3.47 tff(f953,plain,( 21.23/3.47 ( ! [X0 : uni] : (path1(sK12,tb2t2(X0),tb2t3(get(int,vertex,t2tb1(sK17),X0))) | ~mem(vertex,X0,t2tb(sK18)) | ~sort1(vertex,X0)) )), 21.23/3.47 inference(superposition,[],[f876,f232])). 21.23/3.47 tff(f876,plain,( 21.23/3.47 ( ! [X0 : uni] : (path1(sK12,tb2t2(contents(vertex,X0)),tb2t3(get(int,vertex,t2tb1(sK17),contents(vertex,X0)))) | ~mem(vertex,contents(vertex,X0),t2tb(sK18))) )), 21.23/3.47 inference(superposition,[],[f385,f731])). 21.23/3.47 tff(f1347,plain,( 21.23/3.47 spl44_131 | ~spl44_119 | ~spl44_130), 21.23/3.47 inference(avatar_split_clause,[],[f1343,f1328,f1262,f1345])). 21.23/3.47 tff(f1345,plain,( 21.23/3.47 spl44_131 <=> shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_131])])). 21.23/3.47 tff(f1343,plain,( 21.23/3.47 shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))) | (~spl44_119 | ~spl44_130)), 21.23/3.47 inference(subsumption_resolution,[],[f1336,f1263])). 21.23/3.47 tff(f1336,plain,( 21.23/3.47 shortest_path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK29),choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))))) | ~mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK26)) | ~spl44_130), 21.23/3.47 inference(superposition,[],[f885,f1329])). 21.23/3.47 tff(f1330,plain,( 21.23/3.47 spl44_129 | spl44_130 | ~spl44_119), 21.23/3.47 inference(avatar_split_clause,[],[f1323,f1262,f1328,f1325])). 21.23/3.47 tff(f1323,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK27)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | sK22 = tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))) | mem(vertex,t2tb2(X0),t2tb(sK26))) ) | ~spl44_119), 21.23/3.47 inference(subsumption_resolution,[],[f1319,f288])). 21.23/3.47 tff(f1319,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (sK22 = tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))))) | mem(vertex,t2tb2(X0),t2tb(sK26)) | mem(vertex,t2tb2(X0),t2tb(sK27)) | ~sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))) ) | ~spl44_119), 21.23/3.47 inference(resolution,[],[f1147,f1263])). 21.23/3.47 tff(f1308,plain,( 21.23/3.47 spl44_128 | ~spl44_127), 21.23/3.47 inference(avatar_split_clause,[],[f1304,f1299,f1306])). 21.23/3.47 tff(f1304,plain,( 21.23/3.47 subset(vertex,remove(vertex,t2tb2(sK22),t2tb(sK26)),t2tb(sK19)) | ~spl44_127), 21.23/3.47 inference(superposition,[],[f244,f1300])). 21.23/3.47 tff(f1301,plain,( 21.23/3.47 spl44_127 | ~spl44_78), 21.23/3.47 inference(avatar_split_clause,[],[f1294,f803,f1299])). 21.23/3.47 tff(f1294,plain,( 21.23/3.47 remove(vertex,t2tb2(sK22),t2tb(sK19)) = remove(vertex,t2tb2(sK22),t2tb(sK26)) | ~spl44_78), 21.23/3.47 inference(superposition,[],[f255,f804])). 21.23/3.47 tff(f1293,plain,( 21.23/3.47 ~spl44_125 | spl44_126 | spl44_88 | ~spl44_108), 21.23/3.47 inference(avatar_split_clause,[],[f1286,f1164,f919,f1291,f1288])). 21.23/3.47 tff(f1288,plain,( 21.23/3.47 spl44_125 <=> mem(vertex,choose(vertex,t2tb(sK27)),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_125])])). 21.23/3.47 tff(f1291,plain,( 21.23/3.47 spl44_126 <=> mem(vertex,choose(vertex,t2tb(sK27)),t2tb(sK27))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_126])])). 21.23/3.47 tff(f919,plain,( 21.23/3.47 spl44_88 <=> mem(vertex,choose(vertex,t2tb(sK27)),t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_88])])). 21.23/3.47 tff(f1164,plain,( 21.23/3.47 spl44_108 <=> ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK26)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | mem(vertex,t2tb2(X0),t2tb(sK27)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_108])])). 21.23/3.47 tff(f1286,plain,( 21.23/3.47 mem(vertex,choose(vertex,t2tb(sK27)),t2tb(sK27)) | ~mem(vertex,choose(vertex,t2tb(sK27)),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | (spl44_88 | ~spl44_108)), 21.23/3.47 inference(resolution,[],[f1198,f920])). 21.23/3.47 tff(f920,plain,( 21.23/3.47 ~mem(vertex,choose(vertex,t2tb(sK27)),t2tb(sK26)) | spl44_88), 21.23/3.47 inference(avatar_component_clause,[],[f919])). 21.23/3.47 tff(f1198,plain,( 21.23/3.47 ( ! [X0 : uni] : (mem(vertex,choose(vertex,X0),t2tb(sK26)) | ~mem(vertex,choose(vertex,X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | mem(vertex,choose(vertex,X0),t2tb(sK27))) ) | ~spl44_108), 21.23/3.47 inference(superposition,[],[f1165,f732])). 21.23/3.47 tff(f1165,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | mem(vertex,t2tb2(X0),t2tb(sK26)) | mem(vertex,t2tb2(X0),t2tb(sK27))) ) | ~spl44_108), 21.23/3.47 inference(avatar_component_clause,[],[f1164])). 21.23/3.47 tff(f1284,plain,( 21.23/3.47 ~spl44_124 | ~spl44_123 | ~spl44_122), 21.23/3.47 inference(avatar_split_clause,[],[f1279,f1273,f1276,f1281])). 21.23/3.47 tff(f1281,plain,( 21.23/3.47 spl44_124 <=> sort1(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_124])])). 21.23/3.47 tff(f1276,plain,( 21.23/3.47 spl44_123 <=> mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_123])])). 21.23/3.47 tff(f1273,plain,( 21.23/3.47 spl44_122 <=> mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK27))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_122])])). 21.23/3.47 tff(f1279,plain,( 21.23/3.47 ~mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK26)) | ~sort1(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))) | ~spl44_122), 21.23/3.47 inference(resolution,[],[f1274,f946])). 21.23/3.47 tff(f1274,plain,( 21.23/3.47 mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK27)) | ~spl44_122), 21.23/3.47 inference(avatar_component_clause,[],[f1273])). 21.23/3.47 tff(f1278,plain,( 21.23/3.47 spl44_122 | spl44_123 | spl44_121 | ~spl44_108), 21.23/3.47 inference(avatar_split_clause,[],[f1271,f1164,f1268,f1276,f1273])). 21.23/3.47 tff(f1268,plain,( 21.23/3.47 spl44_121 <=> is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_121])])). 21.23/3.47 tff(f1271,plain,( 21.23/3.47 is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK27)) | mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK26)) | ~spl44_108), 21.23/3.47 inference(subsumption_resolution,[],[f1259,f396])). 21.23/3.47 tff(f1259,plain,( 21.23/3.47 mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK27)) | ~sort1(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))) | is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK26)) | ~spl44_108), 21.23/3.47 inference(resolution,[],[f1256,f397])). 21.23/3.47 tff(f1256,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | ~sort1(vertex,X0) | mem(vertex,X0,t2tb(sK26)) | mem(vertex,X0,t2tb(sK27))) ) | ~spl44_108), 21.23/3.47 inference(superposition,[],[f1197,f232])). 21.23/3.47 tff(f1197,plain,( 21.23/3.47 ( ! [X0 : uni] : (mem(vertex,contents(vertex,X0),t2tb(sK26)) | ~mem(vertex,contents(vertex,X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | mem(vertex,contents(vertex,X0),t2tb(sK27))) ) | ~spl44_108), 21.23/3.47 inference(superposition,[],[f1165,f731])). 21.23/3.47 tff(f1270,plain,( 21.23/3.47 spl44_119 | spl44_120 | spl44_121 | ~spl44_108), 21.23/3.47 inference(avatar_split_clause,[],[f1260,f1164,f1268,f1265,f1262])). 21.23/3.47 tff(f1260,plain,( 21.23/3.47 mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK26)) | is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK27)) | ~spl44_108), 21.23/3.47 inference(subsumption_resolution,[],[f1258,f288])). 21.23/3.47 tff(f1258,plain,( 21.23/3.47 ~sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))) | mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK26)) | is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))),t2tb(sK27)) | ~spl44_108), 21.23/3.47 inference(resolution,[],[f1256,f251])). 21.23/3.47 tff(f1236,plain,( 21.23/3.47 spl44_118 | ~spl44_113), 21.23/3.47 inference(avatar_split_clause,[],[f1231,f1214,f1234])). 21.23/3.47 tff(f1214,plain,( 21.23/3.47 spl44_113 <=> is_empty(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_113])])). 21.23/3.47 tff(f1231,plain,( 21.23/3.47 0 = cardinal1(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | ~spl44_113), 21.23/3.47 inference(resolution,[],[f1215,f228])). 21.23/3.47 tff(f1215,plain,( 21.23/3.47 is_empty(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | ~spl44_113), 21.23/3.47 inference(avatar_component_clause,[],[f1214])). 21.23/3.47 tff(f1230,plain,( 21.23/3.47 spl44_116 | spl44_117 | spl44_113 | ~spl44_105), 21.23/3.47 inference(avatar_split_clause,[],[f1223,f1153,f1214,f1228,f1225])). 21.23/3.47 tff(f1225,plain,( 21.23/3.47 spl44_116 <=> mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))),t2tb(sK27))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_116])])). 21.23/3.47 tff(f1228,plain,( 21.23/3.47 spl44_117 <=> mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))),t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_117])])). 21.23/3.47 tff(f1153,plain,( 21.23/3.47 spl44_105 <=> ! [X0 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | mem(vertex,t2tb2(X0),t2tb(sK26)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_105])])). 21.23/3.47 tff(f1223,plain,( 21.23/3.47 is_empty(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))),t2tb(sK26)) | mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))),t2tb(sK27)) | ~spl44_105), 21.23/3.47 inference(subsumption_resolution,[],[f1211,f396])). 21.23/3.47 tff(f1211,plain,( 21.23/3.47 is_empty(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))),t2tb(sK26)) | ~sort1(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))))) | mem(vertex,sK41(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))),t2tb(sK27)) | ~spl44_105), 21.23/3.47 inference(resolution,[],[f1209,f397])). 21.23/3.47 tff(f1209,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | mem(vertex,X0,t2tb(sK27)) | ~sort1(vertex,X0) | mem(vertex,X0,t2tb(sK26))) ) | ~spl44_105), 21.23/3.47 inference(superposition,[],[f1188,f232])). 21.23/3.47 tff(f1188,plain,( 21.23/3.47 ( ! [X0 : uni] : (mem(vertex,contents(vertex,X0),t2tb(sK26)) | ~mem(vertex,contents(vertex,X0),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | mem(vertex,contents(vertex,X0),t2tb(sK27))) ) | ~spl44_105), 21.23/3.47 inference(superposition,[],[f1154,f731])). 21.23/3.47 tff(f1154,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | mem(vertex,t2tb2(X0),t2tb(sK26)) | mem(vertex,t2tb2(X0),t2tb(sK27))) ) | ~spl44_105), 21.23/3.47 inference(avatar_component_clause,[],[f1153])). 21.23/3.47 tff(f1222,plain,( 21.23/3.47 spl44_113 | spl44_114 | spl44_115 | ~spl44_105), 21.23/3.47 inference(avatar_split_clause,[],[f1212,f1153,f1220,f1217,f1214])). 21.23/3.47 tff(f1217,plain,( 21.23/3.47 spl44_114 <=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))),t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_114])])). 21.23/3.47 tff(f1220,plain,( 21.23/3.47 spl44_115 <=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))),t2tb(sK27))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_115])])). 21.23/3.47 tff(f1212,plain,( 21.23/3.47 mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))),t2tb(sK27)) | mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))),t2tb(sK26)) | is_empty(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | ~spl44_105), 21.23/3.47 inference(subsumption_resolution,[],[f1210,f288])). 21.23/3.47 tff(f1210,plain,( 21.23/3.47 mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))),t2tb(sK27)) | is_empty(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))),t2tb(sK26)) | ~sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))))) | ~spl44_105), 21.23/3.47 inference(resolution,[],[f1209,f251])). 21.23/3.47 tff(f1204,plain,( 21.23/3.47 ~spl44_112 | ~spl44_65 | spl44_66 | spl44_67 | ~spl44_108), 21.23/3.47 inference(avatar_split_clause,[],[f1200,f1164,f752,f749,f735,f1202])). 21.23/3.47 tff(f1202,plain,( 21.23/3.47 spl44_112 <=> mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_112])])). 21.23/3.47 tff(f1200,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | (~spl44_65 | spl44_66 | spl44_67 | ~spl44_108)), 21.23/3.47 inference(subsumption_resolution,[],[f1199,f753])). 21.23/3.47 tff(f1199,plain,( 21.23/3.47 mem(vertex,witness1(vertex),t2tb(sK26)) | ~mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | (~spl44_65 | spl44_66 | ~spl44_108)), 21.23/3.47 inference(subsumption_resolution,[],[f1196,f750])). 21.23/3.47 tff(f1196,plain,( 21.23/3.47 mem(vertex,witness1(vertex),t2tb(sK27)) | mem(vertex,witness1(vertex),t2tb(sK26)) | ~mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | (~spl44_65 | ~spl44_108)), 21.23/3.47 inference(superposition,[],[f1165,f736])). 21.23/3.47 tff(f1195,plain,( 21.23/3.47 ~spl44_111 | ~spl44_65 | spl44_66 | spl44_67 | ~spl44_105), 21.23/3.47 inference(avatar_split_clause,[],[f1191,f1153,f752,f749,f735,f1193])). 21.23/3.47 tff(f1193,plain,( 21.23/3.47 spl44_111 <=> mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26))))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_111])])). 21.23/3.47 tff(f1191,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | (~spl44_65 | spl44_66 | spl44_67 | ~spl44_105)), 21.23/3.47 inference(subsumption_resolution,[],[f1190,f753])). 21.23/3.47 tff(f1190,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | mem(vertex,witness1(vertex),t2tb(sK26)) | (~spl44_65 | spl44_66 | ~spl44_105)), 21.23/3.47 inference(subsumption_resolution,[],[f1187,f750])). 21.23/3.47 tff(f1187,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | mem(vertex,witness1(vertex),t2tb(sK27)) | mem(vertex,witness1(vertex),t2tb(sK26)) | (~spl44_65 | ~spl44_105)), 21.23/3.47 inference(superposition,[],[f1154,f736])). 21.23/3.47 tff(f1185,plain,( 21.23/3.47 ~spl44_21 | ~spl44_106), 21.23/3.47 inference(avatar_contradiction_clause,[],[f1184])). 21.23/3.47 tff(f1184,plain,( 21.23/3.47 $false | (~spl44_21 | ~spl44_106)), 21.23/3.47 inference(subsumption_resolution,[],[f841,f1171])). 21.23/3.47 tff(f1171,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK26))) ) | ~spl44_106), 21.23/3.47 inference(resolution,[],[f1157,f398])). 21.23/3.47 tff(f1157,plain,( 21.23/3.47 is_empty(vertex,t2tb(sK26)) | ~spl44_106), 21.23/3.47 inference(avatar_component_clause,[],[f1156])). 21.23/3.47 tff(f1175,plain,( 21.23/3.47 spl44_110 | ~spl44_106), 21.23/3.47 inference(avatar_split_clause,[],[f1170,f1156,f1173])). 21.23/3.47 tff(f1173,plain,( 21.23/3.47 spl44_110 <=> 0 = cardinal1(vertex,t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_110])])). 21.23/3.47 tff(f1170,plain,( 21.23/3.47 0 = cardinal1(vertex,t2tb(sK26)) | ~spl44_106), 21.23/3.47 inference(resolution,[],[f1157,f228])). 21.23/3.47 tff(f1169,plain,( 21.23/3.47 spl44_108 | spl44_109 | spl44_106), 21.23/3.47 inference(avatar_split_clause,[],[f1162,f1156,f1167,f1164])). 21.23/3.47 tff(f1167,plain,( 21.23/3.47 spl44_109 <=> sK22 = tb2t2(choose(vertex,t2tb(sK26)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_109])])). 21.23/3.47 tff(f1162,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK26)) | sK22 = tb2t2(choose(vertex,t2tb(sK26))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | is_empty(vertex,t2tb(sK26)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26))))))) )), 21.23/3.47 inference(subsumption_resolution,[],[f1148,f288])). 21.23/3.47 tff(f1148,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK26)) | ~sort1(vertex,choose(vertex,t2tb(sK26))) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK26)))))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | sK22 = tb2t2(choose(vertex,t2tb(sK26))) | is_empty(vertex,t2tb(sK26))) )), 21.23/3.47 inference(resolution,[],[f1147,f251])). 21.23/3.47 tff(f1161,plain,( 21.23/3.47 spl44_105 | spl44_106 | spl44_107), 21.23/3.47 inference(avatar_split_clause,[],[f1151,f1159,f1156,f1153])). 21.23/3.47 tff(f1159,plain,( 21.23/3.47 spl44_107 <=> sK22 = tb2t2(sK41(vertex,t2tb(sK26)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_107])])). 21.23/3.47 tff(f1151,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (is_empty(vertex,t2tb(sK26)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | sK22 = tb2t2(sK41(vertex,t2tb(sK26))) | mem(vertex,t2tb2(X0),t2tb(sK26)) | mem(vertex,t2tb2(X0),t2tb(sK27))) )), 21.23/3.47 inference(subsumption_resolution,[],[f1150,f396])). 21.23/3.47 tff(f1150,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (sK22 = tb2t2(sK41(vertex,t2tb(sK26))) | ~sort1(vertex,sK41(vertex,t2tb(sK26))) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK41(vertex,t2tb(sK26)))))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | mem(vertex,t2tb2(X0),t2tb(sK26)) | is_empty(vertex,t2tb(sK26))) )), 21.23/3.47 inference(resolution,[],[f1147,f397])). 21.23/3.47 tff(f1093,plain,( 21.23/3.47 spl44_104 | ~spl44_47), 21.23/3.47 inference(avatar_split_clause,[],[f1087,f609,f1091])). 21.23/3.47 tff(f1091,plain,( 21.23/3.47 spl44_104 <=> path1(sK12,sK31,tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_104])])). 21.23/3.47 tff(f1087,plain,( 21.23/3.47 path1(sK12,sK31,tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31)))) | ~spl44_47), 21.23/3.47 inference(resolution,[],[f614,f362])). 21.23/3.47 tff(f614,plain,( 21.23/3.47 mem(vertex,t2tb2(sK31),t2tb(sK27)) | ~spl44_47), 21.23/3.47 inference(avatar_component_clause,[],[f609])). 21.23/3.47 tff(f1086,plain,( 21.23/3.47 spl44_103 | ~spl44_101 | ~spl44_102), 21.23/3.47 inference(avatar_split_clause,[],[f1081,f1078,f1073,f1084])). 21.23/3.47 tff(f1073,plain,( 21.23/3.47 spl44_101 <=> sK15 = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK17),t2tb2(sK12))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_101])])). 21.23/3.47 tff(f1081,plain,( 21.23/3.47 sK15 = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK29),t2tb2(sK12)))) | (~spl44_101 | ~spl44_102)), 21.23/3.47 inference(backward_demodulation,[],[f1074,f1079])). 21.23/3.47 tff(f1074,plain,( 21.23/3.47 sK15 = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK17),t2tb2(sK12)))) | ~spl44_101), 21.23/3.47 inference(avatar_component_clause,[],[f1073])). 21.23/3.47 tff(f1080,plain,( 21.23/3.47 spl44_102 | ~spl44_54 | ~spl44_100), 21.23/3.47 inference(avatar_split_clause,[],[f1076,f1066,f652,f1078])). 21.23/3.47 tff(f652,plain,( 21.23/3.47 spl44_54 <=> t2tb3(0) = get(int,vertex,t2tb1(sK17),t2tb2(sK12))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_54])])). 21.23/3.47 tff(f1076,plain,( 21.23/3.47 get(int,vertex,t2tb1(sK29),t2tb2(sK12)) = get(int,vertex,t2tb1(sK17),t2tb2(sK12)) | (~spl44_54 | ~spl44_100)), 21.23/3.47 inference(backward_demodulation,[],[f653,f1067])). 21.23/3.47 tff(f653,plain,( 21.23/3.47 t2tb3(0) = get(int,vertex,t2tb1(sK17),t2tb2(sK12)) | ~spl44_54), 21.23/3.47 inference(avatar_component_clause,[],[f652])). 21.23/3.47 tff(f1075,plain,( 21.23/3.47 spl44_101 | ~spl44_43 | ~spl44_54), 21.23/3.47 inference(avatar_split_clause,[],[f1071,f652,f578,f1073])). 21.23/3.47 tff(f578,plain,( 21.23/3.47 spl44_43 <=> sK15 = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),t2tb3(0)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_43])])). 21.23/3.47 tff(f1071,plain,( 21.23/3.47 sK15 = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK17),t2tb2(sK12)))) | (~spl44_43 | ~spl44_54)), 21.23/3.47 inference(backward_demodulation,[],[f579,f653])). 21.23/3.47 tff(f579,plain,( 21.23/3.47 sK15 = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),t2tb3(0))) | ~spl44_43), 21.23/3.47 inference(avatar_component_clause,[],[f578])). 21.23/3.47 tff(f1068,plain,( 21.23/3.47 spl44_100 | ~spl44_1), 21.23/3.47 inference(avatar_split_clause,[],[f677,f411,f1066])). 21.23/3.47 tff(f411,plain,( 21.23/3.47 spl44_1 <=> 0 = tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK12)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_1])])). 21.23/3.47 tff(f677,plain,( 21.23/3.47 t2tb3(0) = get(int,vertex,t2tb1(sK29),t2tb2(sK12)) | ~spl44_1), 21.23/3.47 inference(superposition,[],[f273,f412])). 21.23/3.47 tff(f412,plain,( 21.23/3.47 0 = tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK12))) | ~spl44_1), 21.23/3.47 inference(avatar_component_clause,[],[f411])). 21.23/3.47 tff(f273,plain,( 21.23/3.47 ( ! [X0 : uni] : (t2tb3(tb2t3(X0)) = X0) )), 21.23/3.47 inference(cnf_transformation,[],[f160])). 21.23/3.47 tff(f160,plain,( 21.23/3.47 ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0), 21.23/3.47 inference(rectify,[],[f7])). 21.23/3.47 tff(f7,axiom,( 21.23/3.47 ! [X12 : uni] : t2tb3(tb2t3(X12)) = X12), 21.23/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.47 tff(f1064,plain,( 21.23/3.47 spl44_15 | ~spl44_79), 21.23/3.47 inference(avatar_split_clause,[],[f1063,f808,f463])). 21.23/3.47 tff(f1063,plain,( 21.23/3.47 mem(vertex,t2tb2(sK31),t2tb(sK35)) | ~spl44_79), 21.23/3.47 inference(subsumption_resolution,[],[f1062,f305])). 21.23/3.47 tff(f1062,plain,( 21.23/3.47 ~sort1(vertex,t2tb2(sK31)) | mem(vertex,t2tb2(sK31),t2tb(sK35)) | ~spl44_79), 21.23/3.47 inference(superposition,[],[f409,f809])). 21.23/3.47 tff(f1054,plain,( 21.23/3.47 spl44_99 | ~spl44_90), 21.23/3.47 inference(avatar_split_clause,[],[f1036,f927,f1052])). 21.23/3.47 tff(f1036,plain,( 21.23/3.47 0 = cardinal1(vertex,t2tb(sK19)) | ~spl44_90), 21.23/3.47 inference(resolution,[],[f928,f228])). 21.23/3.47 tff(f1050,plain,( 21.23/3.47 ~spl44_90 | ~spl44_98), 21.23/3.47 inference(avatar_contradiction_clause,[],[f1044])). 21.23/3.47 tff(f1044,plain,( 21.23/3.47 $false | (~spl44_90 | ~spl44_98)), 21.23/3.47 inference(subsumption_resolution,[],[f1030,f1037])). 21.23/3.47 tff(f1030,plain,( 21.23/3.47 mem(vertex,choose(vertex,t2tb(sK19)),t2tb(sK19)) | ~spl44_98), 21.23/3.47 inference(avatar_component_clause,[],[f1029])). 21.23/3.47 tff(f1029,plain,( 21.23/3.47 spl44_98 <=> mem(vertex,choose(vertex,t2tb(sK19)),t2tb(sK19))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_98])])). 21.23/3.47 tff(f1033,plain,( 21.23/3.47 spl44_90 | spl44_94), 21.23/3.47 inference(avatar_split_clause,[],[f1032,f1015,f927])). 21.23/3.47 tff(f1032,plain,( 21.23/3.47 is_empty(vertex,t2tb(sK19)) | spl44_94), 21.23/3.47 inference(resolution,[],[f1016,f396])). 21.23/3.47 tff(f1016,plain,( 21.23/3.47 ~sort1(vertex,sK41(vertex,t2tb(sK19))) | spl44_94), 21.23/3.47 inference(avatar_component_clause,[],[f1015])). 21.23/3.47 tff(f1031,plain,( 21.23/3.47 spl44_97 | spl44_98 | spl44_89), 21.23/3.47 inference(avatar_split_clause,[],[f1024,f924,f1029,f1026])). 21.23/3.47 tff(f1026,plain,( 21.23/3.47 spl44_97 <=> ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK19)) | ~mem(vertex,choose(vertex,t2tb(sK19)),t2tb(g_succ1(tb2t2(X0)))) | ~sort1(vertex,X0))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_97])])). 21.23/3.47 tff(f924,plain,( 21.23/3.47 spl44_89 <=> mem(vertex,choose(vertex,t2tb(sK19)),t2tb(sK18))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_89])])). 21.23/3.47 tff(f1024,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK19)) | mem(vertex,choose(vertex,t2tb(sK19)),t2tb(sK19)) | ~sort1(vertex,X0) | ~mem(vertex,choose(vertex,t2tb(sK19)),t2tb(g_succ1(tb2t2(X0))))) ) | spl44_89), 21.23/3.47 inference(subsumption_resolution,[],[f1010,f288])). 21.23/3.47 tff(f1010,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,choose(vertex,t2tb(sK19)),t2tb(g_succ1(tb2t2(X0)))) | ~sort1(vertex,X0) | ~sort1(vertex,choose(vertex,t2tb(sK19))) | mem(vertex,choose(vertex,t2tb(sK19)),t2tb(sK19)) | ~mem(vertex,X0,t2tb(sK19))) ) | spl44_89), 21.23/3.47 inference(resolution,[],[f1008,f925])). 21.23/3.47 tff(f925,plain,( 21.23/3.47 ~mem(vertex,choose(vertex,t2tb(sK19)),t2tb(sK18)) | spl44_89), 21.23/3.47 inference(avatar_component_clause,[],[f924])). 21.23/3.47 tff(f1008,plain,( 21.23/3.47 ( ! [X0 : uni,X1 : uni] : (mem(vertex,X1,t2tb(sK18)) | ~sort1(vertex,X1) | ~sort1(vertex,X0) | ~mem(vertex,X0,t2tb(sK19)) | ~mem(vertex,X1,t2tb(g_succ1(tb2t2(X0)))) | mem(vertex,X1,t2tb(sK19))) )), 21.23/3.47 inference(superposition,[],[f1006,f232])). 21.23/3.47 tff(f1006,plain,( 21.23/3.47 ( ! [X0 : uni,X1 : uni] : (~mem(vertex,contents(vertex,X0),t2tb(sK19)) | ~mem(vertex,X1,t2tb(g_succ1(tb2t2(contents(vertex,X0))))) | ~sort1(vertex,X1) | mem(vertex,X1,t2tb(sK18)) | mem(vertex,X1,t2tb(sK19))) )), 21.23/3.47 inference(superposition,[],[f950,f731])). 21.23/3.47 tff(f950,plain,( 21.23/3.47 ( ! [X0 : uni,X1 : vertex1] : (~mem(vertex,t2tb2(X1),t2tb(sK19)) | mem(vertex,X0,t2tb(sK19)) | mem(vertex,X0,t2tb(sK18)) | ~mem(vertex,X0,t2tb(g_succ1(X1))) | ~sort1(vertex,X0)) )), 21.23/3.47 inference(superposition,[],[f873,f232])). 21.23/3.47 tff(f873,plain,( 21.23/3.47 ( ! [X0 : uni,X1 : vertex1] : (mem(vertex,contents(vertex,X0),t2tb(sK18)) | mem(vertex,contents(vertex,X0),t2tb(sK19)) | ~mem(vertex,contents(vertex,X0),t2tb(g_succ1(X1))) | ~mem(vertex,t2tb2(X1),t2tb(sK19))) )), 21.23/3.47 inference(superposition,[],[f370,f731])). 21.23/3.47 tff(f370,plain,( 21.23/3.47 ( ! [X12 : vertex1,X13 : vertex1] : (mem(vertex,t2tb2(X13),t2tb(sK18)) | ~mem(vertex,t2tb2(X13),t2tb(g_succ1(X12))) | mem(vertex,t2tb2(X13),t2tb(sK19)) | ~mem(vertex,t2tb2(X12),t2tb(sK19))) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f1023,plain,( 21.23/3.47 ~spl44_94 | spl44_95 | spl44_96 | spl44_92), 21.23/3.47 inference(avatar_split_clause,[],[f1011,f969,f1021,f1018,f1015])). 21.23/3.47 tff(f1018,plain,( 21.23/3.47 spl44_95 <=> ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK19)) | ~mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(g_succ1(tb2t2(X0)))) | ~sort1(vertex,X0))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_95])])). 21.23/3.47 tff(f969,plain,( 21.23/3.47 spl44_92 <=> mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK18))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_92])])). 21.23/3.47 tff(f1011,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,X0,t2tb(sK19)) | ~sort1(vertex,X0) | ~sort1(vertex,sK41(vertex,t2tb(sK19))) | mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK19)) | ~mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(g_succ1(tb2t2(X0))))) ) | spl44_92), 21.23/3.47 inference(resolution,[],[f1008,f970])). 21.23/3.47 tff(f970,plain,( 21.23/3.47 ~mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK18)) | spl44_92), 21.23/3.47 inference(avatar_component_clause,[],[f969])). 21.23/3.47 tff(f1000,plain,( 21.23/3.47 ~spl44_93 | spl44_60 | ~spl44_51 | ~spl44_56), 21.23/3.47 inference(avatar_split_clause,[],[f996,f662,f636,f694,f998])). 21.23/3.47 tff(f694,plain,( 21.23/3.47 spl44_60 <=> shortest_path1(sK12,sK12,0)), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_60])])). 21.23/3.47 tff(f636,plain,( 21.23/3.47 spl44_51 <=> 0 = tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK12)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_51])])). 21.23/3.47 tff(f996,plain,( 21.23/3.47 shortest_path1(sK12,sK12,0) | ~mem(vertex,t2tb2(sK12),t2tb(sK19)) | (~spl44_51 | ~spl44_56)), 21.23/3.47 inference(forward_demodulation,[],[f995,f215])). 21.23/3.47 tff(f995,plain,( 21.23/3.47 shortest_path1(sK12,tb2t2(t2tb2(sK12)),0) | ~mem(vertex,t2tb2(sK12),t2tb(sK19)) | (~spl44_51 | ~spl44_56)), 21.23/3.47 inference(forward_demodulation,[],[f994,f637])). 21.23/3.47 tff(f637,plain,( 21.23/3.47 0 = tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK12))) | ~spl44_51), 21.23/3.47 inference(avatar_component_clause,[],[f636])). 21.23/3.47 tff(f994,plain,( 21.23/3.47 shortest_path1(sK12,tb2t2(t2tb2(sK12)),tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK12)))) | ~mem(vertex,t2tb2(sK12),t2tb(sK19)) | ~spl44_56), 21.23/3.47 inference(subsumption_resolution,[],[f993,f305])). 21.23/3.47 tff(f993,plain,( 21.23/3.47 shortest_path1(sK12,tb2t2(t2tb2(sK12)),tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK12)))) | ~sort1(vertex,t2tb2(sK12)) | ~mem(vertex,t2tb2(sK12),t2tb(sK19)) | ~spl44_56), 21.23/3.47 inference(superposition,[],[f954,f663])). 21.23/3.47 tff(f971,plain,( 21.23/3.47 spl44_90 | ~spl44_92), 21.23/3.47 inference(avatar_split_clause,[],[f967,f969,f927])). 21.23/3.47 tff(f967,plain,( 21.23/3.47 is_empty(vertex,t2tb(sK19)) | ~mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK18))), 21.23/3.47 inference(subsumption_resolution,[],[f966,f396])). 21.23/3.47 tff(f966,plain,( 21.23/3.47 ~mem(vertex,sK41(vertex,t2tb(sK19)),t2tb(sK18)) | is_empty(vertex,t2tb(sK19)) | ~sort1(vertex,sK41(vertex,t2tb(sK19)))), 21.23/3.47 inference(resolution,[],[f952,f397])). 21.23/3.47 tff(f963,plain,( 21.23/3.47 spl44_87 | ~spl44_91), 21.23/3.47 inference(avatar_split_clause,[],[f959,f961,f916])). 21.23/3.47 tff(f916,plain,( 21.23/3.47 spl44_87 <=> is_empty(vertex,t2tb(sK27))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_87])])). 21.23/3.47 tff(f961,plain,( 21.23/3.47 spl44_91 <=> mem(vertex,sK41(vertex,t2tb(sK27)),t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_91])])). 21.23/3.47 tff(f959,plain,( 21.23/3.47 is_empty(vertex,t2tb(sK27)) | ~mem(vertex,sK41(vertex,t2tb(sK27)),t2tb(sK26))), 21.23/3.47 inference(subsumption_resolution,[],[f958,f396])). 21.23/3.47 tff(f958,plain,( 21.23/3.47 ~sort1(vertex,sK41(vertex,t2tb(sK27))) | is_empty(vertex,t2tb(sK27)) | ~mem(vertex,sK41(vertex,t2tb(sK27)),t2tb(sK26))), 21.23/3.47 inference(resolution,[],[f946,f397])). 21.23/3.47 tff(f929,plain,( 21.23/3.47 ~spl44_89 | spl44_90), 21.23/3.47 inference(avatar_split_clause,[],[f922,f927,f924])). 21.23/3.47 tff(f922,plain,( 21.23/3.47 is_empty(vertex,t2tb(sK19)) | ~mem(vertex,choose(vertex,t2tb(sK19)),t2tb(sK18))), 21.23/3.47 inference(resolution,[],[f890,f251])). 21.23/3.47 tff(f890,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,choose(vertex,X0),t2tb(sK19)) | ~mem(vertex,choose(vertex,X0),t2tb(sK18))) )), 21.23/3.47 inference(superposition,[],[f382,f732])). 21.23/3.47 tff(f921,plain,( 21.23/3.47 spl44_87 | ~spl44_88), 21.23/3.47 inference(avatar_split_clause,[],[f914,f919,f916])). 21.23/3.47 tff(f914,plain,( 21.23/3.47 is_empty(vertex,t2tb(sK27)) | ~mem(vertex,choose(vertex,t2tb(sK27)),t2tb(sK26))), 21.23/3.47 inference(resolution,[],[f884,f251])). 21.23/3.47 tff(f884,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,choose(vertex,X0),t2tb(sK27)) | ~mem(vertex,choose(vertex,X0),t2tb(sK26))) )), 21.23/3.47 inference(superposition,[],[f358,f732])). 21.23/3.47 tff(f905,plain,( 21.23/3.47 spl44_86 | ~spl44_85), 21.23/3.47 inference(avatar_split_clause,[],[f900,f897,f903])). 21.23/3.47 tff(f897,plain,( 21.23/3.47 spl44_85 <=> is_empty(vertex,t2tb(sK16))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_85])])). 21.23/3.47 tff(f900,plain,( 21.23/3.47 0 = cardinal1(vertex,t2tb(sK16)) | ~spl44_85), 21.23/3.47 inference(resolution,[],[f898,f228])). 21.23/3.47 tff(f898,plain,( 21.23/3.47 is_empty(vertex,t2tb(sK16)) | ~spl44_85), 21.23/3.47 inference(avatar_component_clause,[],[f897])). 21.23/3.47 tff(f899,plain,( 21.23/3.47 spl44_85), 21.23/3.47 inference(avatar_split_clause,[],[f895,f897])). 21.23/3.47 tff(f895,plain,( 21.23/3.47 is_empty(vertex,t2tb(sK16))), 21.23/3.47 inference(resolution,[],[f893,f251])). 21.23/3.47 tff(f893,plain,( 21.23/3.47 ( ! [X0 : uni] : (~mem(vertex,choose(vertex,X0),t2tb(sK16))) )), 21.23/3.47 inference(superposition,[],[f393,f732])). 21.23/3.47 tff(f393,plain,( 21.23/3.47 ( ! [X6 : vertex1] : (~mem(vertex,t2tb2(X6),t2tb(sK16))) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f859,plain,( 21.23/3.47 ~spl44_76 | ~spl44_35 | ~spl44_65 | spl44_66 | spl44_67 | spl44_77), 21.23/3.47 inference(avatar_split_clause,[],[f857,f790,f752,f749,f735,f542,f787])). 21.23/3.47 tff(f787,plain,( 21.23/3.47 spl44_76 <=> mem(vertex,witness1(vertex),t2tb(g_succ1(sK22)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_76])])). 21.23/3.47 tff(f790,plain,( 21.23/3.47 spl44_77 <=> mem(vertex,witness1(vertex),t2tb(sK28))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_77])])). 21.23/3.47 tff(f857,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(g_succ1(sK22))) | (~spl44_35 | ~spl44_65 | spl44_66 | spl44_67 | spl44_77)), 21.23/3.47 inference(subsumption_resolution,[],[f856,f750])). 21.23/3.47 tff(f856,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(g_succ1(sK22))) | mem(vertex,witness1(vertex),t2tb(sK27)) | (~spl44_35 | ~spl44_65 | spl44_67 | spl44_77)), 21.23/3.47 inference(subsumption_resolution,[],[f855,f791])). 21.23/3.47 tff(f791,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(sK28)) | spl44_77), 21.23/3.47 inference(avatar_component_clause,[],[f790])). 21.23/3.47 tff(f855,plain,( 21.23/3.47 mem(vertex,witness1(vertex),t2tb(sK28)) | mem(vertex,witness1(vertex),t2tb(sK27)) | ~mem(vertex,witness1(vertex),t2tb(g_succ1(sK22))) | (~spl44_35 | ~spl44_65 | spl44_67)), 21.23/3.47 inference(subsumption_resolution,[],[f854,f753])). 21.23/3.47 tff(f854,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(g_succ1(sK22))) | mem(vertex,witness1(vertex),t2tb(sK26)) | mem(vertex,witness1(vertex),t2tb(sK28)) | mem(vertex,witness1(vertex),t2tb(sK27)) | (~spl44_35 | ~spl44_65)), 21.23/3.47 inference(superposition,[],[f543,f736])). 21.23/3.47 tff(f853,plain,( 21.23/3.47 ~spl44_84 | spl44_81), 21.23/3.47 inference(avatar_split_clause,[],[f849,f831,f851])). 21.23/3.47 tff(f849,plain,( 21.23/3.47 ~mem(vertex,t2tb2(sK40),remove(vertex,t2tb2(sK31),t2tb(sK28))) | spl44_81), 21.23/3.47 inference(subsumption_resolution,[],[f848,f296])). 21.23/3.47 tff(f296,plain,( 21.23/3.47 ( ! [X2 : uni,X0 : uni,X1 : ty] : (sort1(set(X1),remove(X1,X0,X2))) )), 21.23/3.47 inference(cnf_transformation,[],[f144])). 21.23/3.47 tff(f144,plain,( 21.23/3.47 ! [X1 : ty,X0 : uni,X2 : uni] : sort1(set(X1),remove(X1,X0,X2))), 21.23/3.47 inference(rectify,[],[f65])). 21.23/3.47 tff(f65,axiom,( 21.23/3.47 ! [X7 : uni,X0 : ty,X8 : uni] : sort1(set(X0),remove(X0,X7,X8))), 21.23/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.47 tff(f848,plain,( 21.23/3.47 ~sort1(set(vertex),remove(vertex,t2tb2(sK31),t2tb(sK28))) | ~mem(vertex,t2tb2(sK40),remove(vertex,t2tb2(sK31),t2tb(sK28))) | spl44_81), 21.23/3.47 inference(superposition,[],[f832,f311])). 21.23/3.47 tff(f311,plain,( 21.23/3.47 ( ! [X0 : uni] : (t2tb(tb2t(X0)) = X0 | ~sort1(set(vertex),X0)) )), 21.23/3.47 inference(cnf_transformation,[],[f196])). 21.23/3.47 tff(f196,plain,( 21.23/3.47 ! [X0 : uni] : (t2tb(tb2t(X0)) = X0 | ~sort1(set(vertex),X0))), 21.23/3.47 inference(ennf_transformation,[],[f154])). 21.23/3.47 tff(f154,plain,( 21.23/3.47 ! [X0 : uni] : (sort1(set(vertex),X0) => t2tb(tb2t(X0)) = X0)), 21.23/3.47 inference(rectify,[],[f78])). 21.23/3.47 tff(f78,axiom,( 21.23/3.47 ! [X12 : uni] : (sort1(set(vertex),X12) => t2tb(tb2t(X12)) = X12)), 21.23/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.47 tff(f846,plain,( 21.23/3.47 spl44_83 | ~spl44_31 | ~spl44_34), 21.23/3.47 inference(avatar_split_clause,[],[f839,f538,f527,f844])). 21.23/3.47 tff(f527,plain,( 21.23/3.47 spl44_31 <=> mem(vertex,t2tb2(sK40),t2tb(g_succ1(sK37)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_31])])). 21.23/3.47 tff(f538,plain,( 21.23/3.47 spl44_34 <=> sK22 = sK37), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_34])])). 21.23/3.47 tff(f839,plain,( 21.23/3.47 mem(vertex,t2tb2(sK40),t2tb(g_succ1(sK22))) | (~spl44_31 | ~spl44_34)), 21.23/3.47 inference(backward_demodulation,[],[f528,f834])). 21.23/3.47 tff(f834,plain,( 21.23/3.47 sK22 = sK37 | ~spl44_34), 21.23/3.47 inference(avatar_component_clause,[],[f538])). 21.23/3.47 tff(f528,plain,( 21.23/3.47 mem(vertex,t2tb2(sK40),t2tb(g_succ1(sK37))) | ~spl44_31), 21.23/3.47 inference(avatar_component_clause,[],[f527])). 21.23/3.47 tff(f842,plain,( 21.23/3.47 spl44_21 | ~spl44_10 | ~spl44_34), 21.23/3.47 inference(avatar_split_clause,[],[f840,f538,f443,f486])). 21.23/3.47 tff(f443,plain,( 21.23/3.47 spl44_10 <=> mem(vertex,t2tb2(sK37),t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_10])])). 21.23/3.47 tff(f840,plain,( 21.23/3.47 mem(vertex,t2tb2(sK22),t2tb(sK26)) | (~spl44_10 | ~spl44_34)), 21.23/3.47 inference(backward_demodulation,[],[f444,f834])). 21.23/3.47 tff(f444,plain,( 21.23/3.47 mem(vertex,t2tb2(sK37),t2tb(sK26)) | ~spl44_10), 21.23/3.47 inference(avatar_component_clause,[],[f443])). 21.23/3.47 tff(f838,plain,( 21.23/3.47 spl44_34 | spl44_82 | ~spl44_10), 21.23/3.47 inference(avatar_split_clause,[],[f815,f443,f836,f538])). 21.23/3.47 tff(f836,plain,( 21.23/3.47 spl44_82 <=> ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK27)) | mem(vertex,t2tb2(X0),t2tb(sK26)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(sK37))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_82])])). 21.23/3.47 tff(f815,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (mem(vertex,t2tb2(X0),t2tb(sK27)) | ~mem(vertex,t2tb2(X0),t2tb(g_succ1(sK37))) | mem(vertex,t2tb2(X0),t2tb(sK26)) | sK22 = sK37) ) | ~spl44_10), 21.23/3.47 inference(resolution,[],[f352,f444])). 21.23/3.47 tff(f833,plain,( 21.23/3.47 ~spl44_81 | ~spl44_14 | spl44_33), 21.23/3.47 inference(avatar_split_clause,[],[f829,f535,f459,f831])). 21.23/3.47 tff(f459,plain,( 21.23/3.47 spl44_14 <=> sK32 = tb2t(remove(vertex,t2tb2(sK31),t2tb(sK28)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_14])])). 21.23/3.47 tff(f535,plain,( 21.23/3.47 spl44_33 <=> mem(vertex,t2tb2(sK40),t2tb(sK32))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_33])])). 21.23/3.47 tff(f829,plain,( 21.23/3.47 ~mem(vertex,t2tb2(sK40),t2tb(tb2t(remove(vertex,t2tb2(sK31),t2tb(sK28))))) | (~spl44_14 | spl44_33)), 21.23/3.47 inference(forward_demodulation,[],[f536,f460])). 21.23/3.47 tff(f460,plain,( 21.23/3.47 sK32 = tb2t(remove(vertex,t2tb2(sK31),t2tb(sK28))) | ~spl44_14), 21.23/3.47 inference(avatar_component_clause,[],[f459])). 21.23/3.47 tff(f536,plain,( 21.23/3.47 ~mem(vertex,t2tb2(sK40),t2tb(sK32)) | spl44_33), 21.23/3.47 inference(avatar_component_clause,[],[f535])). 21.23/3.47 tff(f828,plain,( 21.23/3.47 spl44_9 | ~spl44_10 | ~spl44_31 | spl44_34 | spl44_48), 21.23/3.47 inference(avatar_contradiction_clause,[],[f827])). 21.23/3.47 tff(f827,plain,( 21.23/3.47 $false | (spl44_9 | ~spl44_10 | ~spl44_31 | spl44_34 | spl44_48)), 21.23/3.47 inference(subsumption_resolution,[],[f826,f618])). 21.23/3.47 tff(f826,plain,( 21.23/3.47 mem(vertex,t2tb2(sK40),t2tb(sK27)) | (spl44_9 | ~spl44_10 | ~spl44_31 | spl44_34)), 21.23/3.47 inference(subsumption_resolution,[],[f818,f440])). 21.23/3.47 tff(f818,plain,( 21.23/3.47 mem(vertex,t2tb2(sK40),t2tb(sK26)) | mem(vertex,t2tb2(sK40),t2tb(sK27)) | (~spl44_10 | ~spl44_31 | spl44_34)), 21.23/3.47 inference(resolution,[],[f817,f528])). 21.23/3.47 tff(f817,plain,( 21.23/3.47 ( ! [X0 : vertex1] : (~mem(vertex,t2tb2(X0),t2tb(g_succ1(sK37))) | mem(vertex,t2tb2(X0),t2tb(sK27)) | mem(vertex,t2tb2(X0),t2tb(sK26))) ) | (~spl44_10 | spl44_34)), 21.23/3.47 inference(subsumption_resolution,[],[f815,f539])). 21.23/3.47 tff(f539,plain,( 21.23/3.47 sK22 != sK37 | spl44_34), 21.23/3.47 inference(avatar_component_clause,[],[f538])). 21.23/3.47 tff(f825,plain,( 21.23/3.47 ~spl44_80 | ~spl44_10 | spl44_34 | ~spl44_65 | spl44_66 | spl44_67), 21.23/3.47 inference(avatar_split_clause,[],[f821,f752,f749,f735,f538,f443,f823])). 21.23/3.47 tff(f823,plain,( 21.23/3.47 spl44_80 <=> mem(vertex,witness1(vertex),t2tb(g_succ1(sK37)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_80])])). 21.23/3.47 tff(f821,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(g_succ1(sK37))) | (~spl44_10 | spl44_34 | ~spl44_65 | spl44_66 | spl44_67)), 21.23/3.47 inference(subsumption_resolution,[],[f820,f750])). 21.23/3.47 tff(f820,plain,( 21.23/3.47 mem(vertex,witness1(vertex),t2tb(sK27)) | ~mem(vertex,witness1(vertex),t2tb(g_succ1(sK37))) | (~spl44_10 | spl44_34 | ~spl44_65 | spl44_67)), 21.23/3.47 inference(subsumption_resolution,[],[f819,f753])). 21.23/3.47 tff(f819,plain,( 21.23/3.47 mem(vertex,witness1(vertex),t2tb(sK26)) | mem(vertex,witness1(vertex),t2tb(sK27)) | ~mem(vertex,witness1(vertex),t2tb(g_succ1(sK37))) | (~spl44_10 | spl44_34 | ~spl44_65)), 21.23/3.47 inference(superposition,[],[f817,f736])). 21.23/3.47 tff(f810,plain,( 21.23/3.47 spl44_79 | ~spl44_57), 21.23/3.47 inference(avatar_split_clause,[],[f806,f670,f808])). 21.23/3.47 tff(f670,plain,( 21.23/3.47 spl44_57 <=> sK35 = tb2t(add(vertex,t2tb2(sK31),t2tb(sK27)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_57])])). 21.23/3.47 tff(f806,plain,( 21.23/3.47 t2tb(sK35) = add(vertex,t2tb2(sK31),t2tb(sK27)) | ~spl44_57), 21.23/3.47 inference(subsumption_resolution,[],[f799,f280])). 21.23/3.47 tff(f280,plain,( 21.23/3.47 ( ! [X2 : uni,X0 : ty,X1 : uni] : (sort1(set(X0),add(X0,X1,X2))) )), 21.23/3.47 inference(cnf_transformation,[],[f126])). 21.23/3.47 tff(f126,plain,( 21.23/3.47 ! [X0 : ty,X1 : uni,X2 : uni] : sort1(set(X0),add(X0,X1,X2))), 21.23/3.47 inference(rectify,[],[f10])). 21.23/3.47 tff(f10,axiom,( 21.23/3.47 ! [X0 : ty,X7 : uni,X8 : uni] : sort1(set(X0),add(X0,X7,X8))), 21.23/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.47 tff(f799,plain,( 21.23/3.47 t2tb(sK35) = add(vertex,t2tb2(sK31),t2tb(sK27)) | ~sort1(set(vertex),add(vertex,t2tb2(sK31),t2tb(sK27))) | ~spl44_57), 21.23/3.47 inference(superposition,[],[f311,f671])). 21.23/3.47 tff(f671,plain,( 21.23/3.47 sK35 = tb2t(add(vertex,t2tb2(sK31),t2tb(sK27))) | ~spl44_57), 21.23/3.47 inference(avatar_component_clause,[],[f670])). 21.23/3.47 tff(f805,plain,( 21.23/3.47 spl44_78 | ~spl44_25), 21.23/3.47 inference(avatar_split_clause,[],[f801,f501,f803])). 21.23/3.47 tff(f501,plain,( 21.23/3.47 spl44_25 <=> sK26 = tb2t(add(vertex,t2tb2(sK22),t2tb(sK19)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_25])])). 21.23/3.47 tff(f801,plain,( 21.23/3.47 t2tb(sK26) = add(vertex,t2tb2(sK22),t2tb(sK19)) | ~spl44_25), 21.23/3.47 inference(subsumption_resolution,[],[f798,f280])). 21.23/3.47 tff(f798,plain,( 21.23/3.47 ~sort1(set(vertex),add(vertex,t2tb2(sK22),t2tb(sK19))) | t2tb(sK26) = add(vertex,t2tb2(sK22),t2tb(sK19)) | ~spl44_25), 21.23/3.47 inference(superposition,[],[f311,f502])). 21.23/3.47 tff(f502,plain,( 21.23/3.47 sK26 = tb2t(add(vertex,t2tb2(sK22),t2tb(sK19))) | ~spl44_25), 21.23/3.47 inference(avatar_component_clause,[],[f501])). 21.23/3.47 tff(f792,plain,( 21.23/3.47 spl44_76 | ~spl44_77 | ~spl44_65), 21.23/3.47 inference(avatar_split_clause,[],[f742,f735,f790,f787])). 21.23/3.47 tff(f742,plain,( 21.23/3.47 mem(vertex,witness1(vertex),t2tb(g_succ1(sK22))) | ~mem(vertex,witness1(vertex),t2tb(sK28)) | ~spl44_65), 21.23/3.47 inference(superposition,[],[f365,f736])). 21.23/3.47 tff(f785,plain,( 21.23/3.47 ~spl44_75 | ~spl44_71 | ~spl44_65), 21.23/3.47 inference(avatar_split_clause,[],[f743,f735,f767,f783])). 21.23/3.47 tff(f783,plain,( 21.23/3.47 spl44_75 <=> $less(tb2t3(get(int,vertex,t2tb1(sK17),witness1(vertex))),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK22))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_75])])). 21.23/3.47 tff(f767,plain,( 21.23/3.47 spl44_71 <=> mem(vertex,witness1(vertex),t2tb(sK18))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_71])])). 21.23/3.47 tff(f743,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(sK18)) | ~$less(tb2t3(get(int,vertex,t2tb1(sK17),witness1(vertex))),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK22)))) | ~spl44_65), 21.23/3.47 inference(superposition,[],[f373,f736])). 21.23/3.47 tff(f373,plain,( 21.23/3.47 ( ! [X24 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK22)))) | ~mem(vertex,t2tb2(X24),t2tb(sK18))) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f781,plain,( 21.23/3.47 spl44_74 | ~spl44_66 | ~spl44_65), 21.23/3.47 inference(avatar_split_clause,[],[f741,f735,f749,f779])). 21.23/3.47 tff(f779,plain,( 21.23/3.47 spl44_74 <=> path1(sK12,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK29),witness1(vertex))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_74])])). 21.23/3.47 tff(f741,plain,( 21.23/3.47 path1(sK12,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK29),witness1(vertex)))) | ~mem(vertex,witness1(vertex),t2tb(sK27)) | ~spl44_65), 21.23/3.47 inference(superposition,[],[f362,f736])). 21.23/3.47 tff(f777,plain,( 21.23/3.47 spl44_73 | ~spl44_71 | ~spl44_65), 21.23/3.47 inference(avatar_split_clause,[],[f745,f735,f767,f775])). 21.23/3.47 tff(f775,plain,( 21.23/3.47 spl44_73 <=> path1(sK12,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK17),witness1(vertex))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_73])])). 21.23/3.47 tff(f745,plain,( 21.23/3.47 path1(sK12,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK17),witness1(vertex)))) | ~mem(vertex,witness1(vertex),t2tb(sK18)) | ~spl44_65), 21.23/3.47 inference(superposition,[],[f385,f736])). 21.23/3.47 tff(f773,plain,( 21.23/3.47 ~spl44_72 | ~spl44_65), 21.23/3.47 inference(avatar_split_clause,[],[f747,f735,f771])). 21.23/3.47 tff(f771,plain,( 21.23/3.47 spl44_72 <=> mem(vertex,witness1(vertex),t2tb(sK16))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_72])])). 21.23/3.47 tff(f747,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(sK16)) | ~spl44_65), 21.23/3.47 inference(superposition,[],[f393,f736])). 21.23/3.47 tff(f769,plain,( 21.23/3.47 ~spl44_69 | ~spl44_71 | ~spl44_65), 21.23/3.47 inference(avatar_split_clause,[],[f744,f735,f767,f760])). 21.23/3.47 tff(f760,plain,( 21.23/3.47 spl44_69 <=> mem(vertex,witness1(vertex),t2tb(sK19))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_69])])). 21.23/3.47 tff(f744,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(sK19)) | ~mem(vertex,witness1(vertex),t2tb(sK18)) | ~spl44_65), 21.23/3.47 inference(superposition,[],[f382,f736])). 21.23/3.47 tff(f765,plain,( 21.23/3.47 ~spl44_69 | spl44_70 | ~spl44_65), 21.23/3.47 inference(avatar_split_clause,[],[f746,f735,f763,f760])). 21.23/3.47 tff(f763,plain,( 21.23/3.47 spl44_70 <=> shortest_path1(sK12,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK17),witness1(vertex))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_70])])). 21.23/3.47 tff(f746,plain,( 21.23/3.47 shortest_path1(sK12,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK17),witness1(vertex)))) | ~mem(vertex,witness1(vertex),t2tb(sK19)) | ~spl44_65), 21.23/3.47 inference(superposition,[],[f386,f736])). 21.23/3.47 tff(f758,plain,( 21.23/3.47 ~spl44_67 | spl44_68 | ~spl44_65), 21.23/3.47 inference(avatar_split_clause,[],[f740,f735,f756,f752])). 21.23/3.47 tff(f756,plain,( 21.23/3.47 spl44_68 <=> shortest_path1(sK12,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK29),witness1(vertex))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_68])])). 21.23/3.47 tff(f740,plain,( 21.23/3.47 shortest_path1(sK12,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK29),witness1(vertex)))) | ~mem(vertex,witness1(vertex),t2tb(sK26)) | ~spl44_65), 21.23/3.47 inference(superposition,[],[f361,f736])). 21.23/3.47 tff(f754,plain,( 21.23/3.47 ~spl44_66 | ~spl44_67 | ~spl44_65), 21.23/3.47 inference(avatar_split_clause,[],[f739,f735,f752,f749])). 21.23/3.47 tff(f739,plain,( 21.23/3.47 ~mem(vertex,witness1(vertex),t2tb(sK26)) | ~mem(vertex,witness1(vertex),t2tb(sK27)) | ~spl44_65), 21.23/3.47 inference(superposition,[],[f358,f736])). 21.23/3.47 tff(f737,plain,( 21.23/3.47 spl44_65), 21.23/3.47 inference(avatar_split_clause,[],[f729,f735])). 21.23/3.47 tff(f729,plain,( 21.23/3.47 witness1(vertex) = t2tb2(tb2t2(witness1(vertex)))), 21.23/3.47 inference(resolution,[],[f282,f252])). 21.23/3.47 tff(f252,plain,( 21.23/3.47 ( ! [X0 : ty] : (sort1(X0,witness1(X0))) )), 21.23/3.47 inference(cnf_transformation,[],[f45])). 21.23/3.47 tff(f45,axiom,( 21.23/3.47 ! [X0 : ty] : sort1(X0,witness1(X0))), 21.23/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.47 tff(f722,plain,( 21.23/3.47 spl44_64 | ~spl44_52), 21.23/3.47 inference(avatar_split_clause,[],[f718,f640,f720])). 21.23/3.47 tff(f640,plain,( 21.23/3.47 spl44_52 <=> sK36 = tb2t1(set1(int,vertex,t2tb1(sK36),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31)))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_52])])). 21.23/3.47 tff(f718,plain,( 21.23/3.47 t2tb1(sK36) = set1(int,vertex,t2tb1(sK36),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31)))) | ~spl44_52), 21.23/3.47 inference(superposition,[],[f315,f641])). 21.23/3.47 tff(f641,plain,( 21.23/3.47 sK36 = tb2t1(set1(int,vertex,t2tb1(sK36),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31))))) | ~spl44_52), 21.23/3.47 inference(avatar_component_clause,[],[f640])). 21.23/3.47 tff(f315,plain,( 21.23/3.47 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )), 21.23/3.47 inference(cnf_transformation,[],[f147])). 21.23/3.47 tff(f147,plain,( 21.23/3.47 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 21.23/3.47 inference(rectify,[],[f48])). 21.23/3.47 tff(f48,axiom,( 21.23/3.47 ! [X12 : uni] : t2tb1(tb2t1(X12)) = X12), 21.23/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.47 tff(f716,plain,( 21.23/3.47 spl44_63 | ~spl44_2), 21.23/3.47 inference(avatar_split_clause,[],[f712,f415,f714])). 21.23/3.47 tff(f415,plain,( 21.23/3.47 spl44_2 <=> sK36 = tb2t1(set1(int,vertex,t2tb1(sK29),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_2])])). 21.23/3.47 tff(f712,plain,( 21.23/3.47 set1(int,vertex,t2tb1(sK29),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)))) = t2tb1(sK36) | ~spl44_2), 21.23/3.47 inference(superposition,[],[f315,f416])). 21.23/3.47 tff(f416,plain,( 21.23/3.47 sK36 = tb2t1(set1(int,vertex,t2tb1(sK29),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31))))) | ~spl44_2), 21.23/3.47 inference(avatar_component_clause,[],[f415])). 21.23/3.47 tff(f708,plain,( 21.23/3.47 ~spl44_61 | ~spl44_62 | ~spl44_51 | ~spl44_56), 21.23/3.47 inference(avatar_split_clause,[],[f701,f662,f636,f706,f703])). 21.23/3.47 tff(f703,plain,( 21.23/3.47 spl44_61 <=> $less(0,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK22))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_61])])). 21.23/3.47 tff(f701,plain,( 21.23/3.47 ~$less(0,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK22)))) | ~mem(vertex,t2tb2(sK12),t2tb(sK18)) | (~spl44_51 | ~spl44_56)), 21.23/3.47 inference(forward_demodulation,[],[f700,f637])). 21.23/3.47 tff(f700,plain,( 21.23/3.47 ~mem(vertex,t2tb2(sK12),t2tb(sK18)) | ~$less(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK12))),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK22)))) | ~spl44_56), 21.23/3.47 inference(superposition,[],[f373,f663])). 21.23/3.47 tff(f696,plain,( 21.23/3.47 ~spl44_59 | spl44_60 | ~spl44_51 | ~spl44_58), 21.23/3.47 inference(avatar_split_clause,[],[f689,f680,f636,f694,f691])). 21.23/3.47 tff(f689,plain,( 21.23/3.47 ~mem(vertex,t2tb2(sK12),t2tb(sK26)) | shortest_path1(sK12,sK12,0) | (~spl44_51 | ~spl44_58)), 21.23/3.47 inference(forward_demodulation,[],[f688,f637])). 21.23/3.47 tff(f688,plain,( 21.23/3.47 ~mem(vertex,t2tb2(sK12),t2tb(sK26)) | shortest_path1(sK12,sK12,tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK12)))) | ~spl44_58), 21.23/3.47 inference(superposition,[],[f361,f681])). 21.23/3.47 tff(f681,plain,( 21.23/3.47 get(int,vertex,t2tb1(sK29),t2tb2(sK12)) = get(int,vertex,t2tb1(sK36),t2tb2(sK12)) | ~spl44_58), 21.23/3.47 inference(avatar_component_clause,[],[f680])). 21.23/3.47 tff(f682,plain,( 21.23/3.47 spl44_58 | ~spl44_1 | ~spl44_53), 21.23/3.47 inference(avatar_split_clause,[],[f678,f648,f411,f680])). 21.23/3.47 tff(f678,plain,( 21.23/3.47 get(int,vertex,t2tb1(sK29),t2tb2(sK12)) = get(int,vertex,t2tb1(sK36),t2tb2(sK12)) | (~spl44_1 | ~spl44_53)), 21.23/3.47 inference(forward_demodulation,[],[f677,f649])). 21.23/3.47 tff(f676,plain,( 21.23/3.47 ~spl44_3 | ~spl44_5), 21.23/3.47 inference(avatar_split_clause,[],[f667,f424,f418])). 21.23/3.47 tff(f418,plain,( 21.23/3.47 spl44_3 <=> mem(vertex,t2tb2(sK31),t2tb(sK26))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_3])])). 21.23/3.47 tff(f424,plain,( 21.23/3.47 spl44_5 <=> sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22)), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_5])])). 21.23/3.47 tff(f667,plain,( 21.23/3.47 ~mem(vertex,t2tb2(sK31),t2tb(sK26)) | ~spl44_5), 21.23/3.47 inference(resolution,[],[f425,f333])). 21.23/3.47 tff(f333,plain,( 21.23/3.47 ( ! [X41 : map_vertex_int,X39 : vertex1,X29 : set_vertex,X26 : set_vertex,X27 : map_vertex_int,X22 : vertex1,X42 : set_vertex] : (~sP39(X42,X41,X39,X29,X27,X26,X22) | ~mem(vertex,t2tb2(X39),t2tb(X26))) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f425,plain,( 21.23/3.47 sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | ~spl44_5), 21.23/3.47 inference(avatar_component_clause,[],[f424])). 21.23/3.47 tff(f674,plain,( 21.23/3.47 ~spl44_3 | ~spl44_5), 21.23/3.47 inference(avatar_contradiction_clause,[],[f673])). 21.23/3.47 tff(f673,plain,( 21.23/3.47 $false | (~spl44_3 | ~spl44_5)), 21.23/3.47 inference(subsumption_resolution,[],[f667,f419])). 21.23/3.47 tff(f419,plain,( 21.23/3.47 mem(vertex,t2tb2(sK31),t2tb(sK26)) | ~spl44_3), 21.23/3.47 inference(avatar_component_clause,[],[f418])). 21.23/3.47 tff(f672,plain,( 21.23/3.47 spl44_57 | ~spl44_5), 21.23/3.47 inference(avatar_split_clause,[],[f666,f424,f670])). 21.23/3.47 tff(f666,plain,( 21.23/3.47 sK35 = tb2t(add(vertex,t2tb2(sK31),t2tb(sK27))) | ~spl44_5), 21.23/3.47 inference(resolution,[],[f425,f330])). 21.23/3.47 tff(f330,plain,( 21.23/3.47 ( ! [X41 : map_vertex_int,X39 : vertex1,X29 : set_vertex,X26 : set_vertex,X27 : map_vertex_int,X22 : vertex1,X42 : set_vertex] : (~sP39(X42,X41,X39,X29,X27,X26,X22) | tb2t(add(vertex,t2tb2(X39),t2tb(X29))) = X42) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f664,plain,( 21.23/3.47 spl44_56 | ~spl44_53 | ~spl44_54), 21.23/3.47 inference(avatar_split_clause,[],[f660,f652,f648,f662])). 21.23/3.47 tff(f660,plain,( 21.23/3.47 get(int,vertex,t2tb1(sK17),t2tb2(sK12)) = get(int,vertex,t2tb1(sK36),t2tb2(sK12)) | (~spl44_53 | ~spl44_54)), 21.23/3.47 inference(forward_demodulation,[],[f653,f649])). 21.23/3.47 tff(f659,plain,( 21.23/3.47 spl44_55 | ~spl44_43 | ~spl44_53), 21.23/3.47 inference(avatar_split_clause,[],[f655,f648,f578,f657])). 21.23/3.47 tff(f655,plain,( 21.23/3.47 sK15 = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),get(int,vertex,t2tb1(sK36),t2tb2(sK12)))) | (~spl44_43 | ~spl44_53)), 21.23/3.47 inference(backward_demodulation,[],[f579,f649])). 21.23/3.47 tff(f654,plain,( 21.23/3.47 spl44_54 | ~spl44_16), 21.23/3.47 inference(avatar_split_clause,[],[f644,f467,f652])). 21.23/3.47 tff(f467,plain,( 21.23/3.47 spl44_16 <=> 0 = tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_16])])). 21.23/3.47 tff(f644,plain,( 21.23/3.47 t2tb3(0) = get(int,vertex,t2tb1(sK17),t2tb2(sK12)) | ~spl44_16), 21.23/3.47 inference(superposition,[],[f273,f468])). 21.23/3.47 tff(f468,plain,( 21.23/3.47 0 = tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))) | ~spl44_16), 21.23/3.47 inference(avatar_component_clause,[],[f467])). 21.23/3.47 tff(f650,plain,( 21.23/3.47 spl44_53 | ~spl44_51), 21.23/3.47 inference(avatar_split_clause,[],[f645,f636,f648])). 21.23/3.47 tff(f645,plain,( 21.23/3.47 t2tb3(0) = get(int,vertex,t2tb1(sK36),t2tb2(sK12)) | ~spl44_51), 21.23/3.47 inference(superposition,[],[f273,f637])). 21.23/3.47 tff(f642,plain,( 21.23/3.47 spl44_52 | ~spl44_2 | ~spl44_23), 21.23/3.47 inference(avatar_split_clause,[],[f630,f494,f415,f640])). 21.23/3.47 tff(f630,plain,( 21.23/3.47 sK36 = tb2t1(set1(int,vertex,t2tb1(sK36),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31))))) | (~spl44_2 | ~spl44_23)), 21.23/3.47 inference(backward_demodulation,[],[f416,f495])). 21.23/3.47 tff(f638,plain,( 21.23/3.47 spl44_51 | ~spl44_1 | ~spl44_23), 21.23/3.47 inference(avatar_split_clause,[],[f631,f494,f411,f636])). 21.23/3.47 tff(f631,plain,( 21.23/3.47 0 = tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK12))) | (~spl44_1 | ~spl44_23)), 21.23/3.47 inference(backward_demodulation,[],[f412,f495])). 21.23/3.47 tff(f629,plain,( 21.23/3.47 spl44_50 | ~spl44_5 | ~spl44_17), 21.23/3.47 inference(avatar_split_clause,[],[f625,f471,f424,f627])). 21.23/3.47 tff(f627,plain,( 21.23/3.47 spl44_50 <=> sP39(sK27,sK36,sK31,sK27,sK29,sK26,sK22)), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_50])])). 21.23/3.47 tff(f625,plain,( 21.23/3.47 sP39(sK27,sK36,sK31,sK27,sK29,sK26,sK22) | (~spl44_5 | ~spl44_17)), 21.23/3.47 inference(forward_demodulation,[],[f425,f472])). 21.23/3.47 tff(f624,plain,( 21.23/3.47 spl44_49 | ~spl44_4 | ~spl44_17), 21.23/3.47 inference(avatar_split_clause,[],[f620,f471,f421,f622])). 21.23/3.47 tff(f421,plain,( 21.23/3.47 spl44_4 <=> sP38(sK35,sK36,sK31,sK27,sK29,sK22)), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_4])])). 21.23/3.47 tff(f620,plain,( 21.23/3.47 sP38(sK27,sK36,sK31,sK27,sK29,sK22) | (~spl44_4 | ~spl44_17)), 21.23/3.47 inference(forward_demodulation,[],[f422,f472])). 21.23/3.47 tff(f422,plain,( 21.23/3.47 sP38(sK35,sK36,sK31,sK27,sK29,sK22) | ~spl44_4), 21.23/3.47 inference(avatar_component_clause,[],[f421])). 21.23/3.47 tff(f619,plain,( 21.23/3.47 ~spl44_48 | ~spl44_17 | spl44_42), 21.23/3.47 inference(avatar_split_clause,[],[f613,f573,f471,f617])). 21.23/3.47 tff(f613,plain,( 21.23/3.47 ~mem(vertex,t2tb2(sK40),t2tb(sK27)) | (~spl44_17 | spl44_42)), 21.23/3.47 inference(backward_demodulation,[],[f574,f472])). 21.23/3.47 tff(f615,plain,( 21.23/3.47 spl44_47 | ~spl44_15 | ~spl44_17), 21.23/3.47 inference(avatar_split_clause,[],[f612,f471,f463,f609])). 21.23/3.47 tff(f612,plain,( 21.23/3.47 mem(vertex,t2tb2(sK31),t2tb(sK27)) | (~spl44_15 | ~spl44_17)), 21.23/3.47 inference(backward_demodulation,[],[f464,f472])). 21.23/3.47 tff(f611,plain,( 21.23/3.47 ~spl44_47 | ~spl44_5), 21.23/3.47 inference(avatar_split_clause,[],[f607,f424,f609])). 21.23/3.47 tff(f607,plain,( 21.23/3.47 ~mem(vertex,t2tb2(sK31),t2tb(sK27)) | ~spl44_5), 21.23/3.47 inference(resolution,[],[f331,f425])). 21.23/3.47 tff(f331,plain,( 21.23/3.47 ( ! [X41 : map_vertex_int,X39 : vertex1,X29 : set_vertex,X26 : set_vertex,X27 : map_vertex_int,X22 : vertex1,X42 : set_vertex] : (~sP39(X42,X41,X39,X29,X27,X26,X22) | ~mem(vertex,t2tb2(X39),t2tb(X29))) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f605,plain,( 21.23/3.47 spl44_24 | spl44_5 | spl44_17), 21.23/3.47 inference(avatar_split_clause,[],[f604,f471,f424,f497])). 21.23/3.47 tff(f604,plain,( 21.23/3.47 sK27 = sK35 | $less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31)))) | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22)), 21.23/3.47 inference(subsumption_resolution,[],[f339,f335])). 21.23/3.47 tff(f335,plain,( 21.23/3.47 ( ! [X41 : map_vertex_int,X39 : vertex1,X29 : set_vertex,X27 : map_vertex_int,X22 : vertex1,X42 : set_vertex] : (~sP38(X42,X41,X39,X29,X27,X22) | X29 = X42) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f339,plain,( 21.23/3.47 sK27 = sK35 | $less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31)))) | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | sP38(sK35,sK36,sK31,sK27,sK29,sK22)), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f603,plain,( 21.23/3.47 spl44_46), 21.23/3.47 inference(avatar_split_clause,[],[f388,f601])). 21.23/3.47 tff(f601,plain,( 21.23/3.47 spl44_46 <=> subset(vertex,t2tb(sK19),t2tb(v1))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_46])])). 21.23/3.47 tff(f388,plain,( 21.23/3.47 subset(vertex,t2tb(sK19),t2tb(v1))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f599,plain,( 21.23/3.47 spl44_2 | spl44_17), 21.23/3.47 inference(avatar_split_clause,[],[f598,f471,f415])). 21.23/3.47 tff(f598,plain,( 21.23/3.47 sK27 = sK35 | sK36 = tb2t1(set1(int,vertex,t2tb1(sK29),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)))))), 21.23/3.47 inference(subsumption_resolution,[],[f597,f335])). 21.23/3.47 tff(f597,plain,( 21.23/3.47 sP38(sK35,sK36,sK31,sK27,sK29,sK22) | sK27 = sK35 | sK36 = tb2t1(set1(int,vertex,t2tb1(sK29),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)))))), 21.23/3.47 inference(subsumption_resolution,[],[f348,f332])). 21.23/3.47 tff(f332,plain,( 21.23/3.47 ( ! [X41 : map_vertex_int,X39 : vertex1,X29 : set_vertex,X26 : set_vertex,X27 : map_vertex_int,X22 : vertex1,X42 : set_vertex] : (~sP39(X42,X41,X39,X29,X27,X26,X22) | tb2t1(set1(int,vertex,t2tb1(X27),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X27),t2tb2(X22))),weight1(X22,X39))))) = X41) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f348,plain,( 21.23/3.47 sK27 = sK35 | sP38(sK35,sK36,sK31,sK27,sK29,sK22) | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | sK36 = tb2t1(set1(int,vertex,t2tb1(sK29),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)))))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f596,plain,( 21.23/3.47 spl44_45), 21.23/3.47 inference(avatar_split_clause,[],[f387,f594])). 21.23/3.47 tff(f594,plain,( 21.23/3.47 spl44_45 <=> subset(vertex,t2tb(sK18),t2tb(v1))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_45])])). 21.23/3.47 tff(f387,plain,( 21.23/3.47 subset(vertex,t2tb(sK18),t2tb(v1))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f592,plain,( 21.23/3.47 spl44_17 | spl44_3 | spl44_5), 21.23/3.47 inference(avatar_split_clause,[],[f591,f424,f418,f471])). 21.23/3.47 tff(f591,plain,( 21.23/3.47 mem(vertex,t2tb2(sK31),t2tb(sK26)) | sK27 = sK35 | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22)), 21.23/3.47 inference(subsumption_resolution,[],[f346,f335])). 21.23/3.47 tff(f346,plain,( 21.23/3.47 sP38(sK35,sK36,sK31,sK27,sK29,sK22) | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | sK27 = sK35 | mem(vertex,t2tb2(sK31),t2tb(sK26))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f590,plain,( 21.23/3.47 spl44_44), 21.23/3.47 inference(avatar_split_clause,[],[f378,f588])). 21.23/3.47 tff(f588,plain,( 21.23/3.47 spl44_44 <=> path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK22))))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_44])])). 21.23/3.47 tff(f378,plain,( 21.23/3.47 path1(sK12,sK22,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK22))))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f586,plain,( 21.23/3.47 spl44_4 | spl44_5 | spl44_24 | spl44_3), 21.23/3.47 inference(avatar_split_clause,[],[f340,f418,f497,f424,f421])). 21.23/3.47 tff(f340,plain,( 21.23/3.47 mem(vertex,t2tb2(sK31),t2tb(sK26)) | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | $less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31)))) | sP38(sK35,sK36,sK31,sK27,sK29,sK22)), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f585,plain,( 21.23/3.47 spl44_23 | spl44_5 | spl44_15), 21.23/3.47 inference(avatar_split_clause,[],[f584,f463,f424,f494])). 21.23/3.47 tff(f584,plain,( 21.23/3.47 sK29 = sK36 | mem(vertex,t2tb2(sK31),t2tb(sK35)) | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22)), 21.23/3.47 inference(subsumption_resolution,[],[f344,f336])). 21.23/3.47 tff(f344,plain,( 21.23/3.47 sK29 = sK36 | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | mem(vertex,t2tb2(sK31),t2tb(sK35)) | sP38(sK35,sK36,sK31,sK27,sK29,sK22)), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f583,plain,( 21.23/3.47 spl44_23 | spl44_2), 21.23/3.47 inference(avatar_split_clause,[],[f582,f415,f494])). 21.23/3.47 tff(f582,plain,( 21.23/3.47 sK36 = tb2t1(set1(int,vertex,t2tb1(sK29),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31))))) | sK29 = sK36), 21.23/3.47 inference(subsumption_resolution,[],[f581,f334])). 21.23/3.47 tff(f334,plain,( 21.23/3.47 ( ! [X41 : map_vertex_int,X39 : vertex1,X29 : set_vertex,X27 : map_vertex_int,X22 : vertex1,X42 : set_vertex] : (~sP38(X42,X41,X39,X29,X27,X22) | X27 = X41) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f581,plain,( 21.23/3.47 sP38(sK35,sK36,sK31,sK27,sK29,sK22) | sK36 = tb2t1(set1(int,vertex,t2tb1(sK29),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31))))) | sK29 = sK36), 21.23/3.47 inference(subsumption_resolution,[],[f350,f332])). 21.23/3.47 tff(f350,plain,( 21.23/3.47 sK36 = tb2t1(set1(int,vertex,t2tb1(sK29),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31))))) | sK29 = sK36 | sP38(sK35,sK36,sK31,sK27,sK29,sK22) | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22)), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f580,plain,( 21.23/3.47 spl44_43), 21.23/3.47 inference(avatar_split_clause,[],[f392,f578])). 21.23/3.47 tff(f392,plain,( 21.23/3.47 sK15 = tb2t1(set1(int,vertex,t2tb1(sK13),t2tb2(sK12),t2tb3(0)))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f576,plain,( 21.23/3.47 spl44_7), 21.23/3.47 inference(avatar_split_clause,[],[f364,f431])). 21.23/3.47 tff(f431,plain,( 21.23/3.47 spl44_7 <=> true1 = sK30), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_7])])). 21.23/3.47 tff(f364,plain,( 21.23/3.47 true1 = sK30), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f575,plain,( 21.23/3.47 ~spl44_42), 21.23/3.47 inference(avatar_split_clause,[],[f328,f573])). 21.23/3.47 tff(f328,plain,( 21.23/3.47 ~mem(vertex,t2tb2(sK40),t2tb(sK35))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f571,plain,( 21.23/3.47 spl44_41 | ~spl44_7), 21.23/3.47 inference(avatar_split_clause,[],[f359,f431,f568])). 21.23/3.47 tff(f568,plain,( 21.23/3.47 spl44_41 <=> mem(vertex,t2tb2(sK34),t2tb(sK28))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_41])])). 21.23/3.47 tff(f359,plain,( 21.23/3.47 mem(vertex,t2tb2(sK34),t2tb(sK28)) | true1 != sK30), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f566,plain,( 21.23/3.47 spl44_40 | spl44_29), 21.23/3.47 inference(avatar_split_clause,[],[f381,f518,f563])). 21.23/3.47 tff(f563,plain,( 21.23/3.47 spl44_40 <=> mem(vertex,t2tb2(sK25),t2tb(sK18))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_40])])). 21.23/3.47 tff(f518,plain,( 21.23/3.47 spl44_29 <=> true1 = sK20), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_29])])). 21.23/3.47 tff(f381,plain,( 21.23/3.47 true1 = sK20 | mem(vertex,t2tb2(sK25),t2tb(sK18))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f561,plain,( 21.23/3.47 spl44_38 | spl44_39), 21.23/3.47 inference(avatar_split_clause,[],[f351,f559,f556])). 21.23/3.47 tff(f556,plain,( 21.23/3.47 spl44_38 <=> $sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31)) = tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_38])])). 21.23/3.47 tff(f559,plain,( 21.23/3.47 spl44_39 <=> $less(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31))),$sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_39])])). 21.23/3.47 tff(f351,plain,( 21.23/3.47 $sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31)) = tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31))) | $less(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK31))),$sum(tb2t3(get(int,vertex,t2tb1(sK36),t2tb2(sK22))),weight1(sK22,sK31)))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f554,plain,( 21.23/3.47 spl44_5 | spl44_17 | spl44_23), 21.23/3.47 inference(avatar_split_clause,[],[f553,f494,f471,f424])). 21.23/3.47 tff(f553,plain,( 21.23/3.47 sK27 = sK35 | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | sK29 = sK36), 21.23/3.47 inference(subsumption_resolution,[],[f347,f334])). 21.23/3.47 tff(f347,plain,( 21.23/3.47 sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | sK29 = sK36 | sP38(sK35,sK36,sK31,sK27,sK29,sK22) | sK27 = sK35), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f552,plain,( 21.23/3.47 spl44_37), 21.23/3.47 inference(avatar_split_clause,[],[f356,f550])). 21.23/3.47 tff(f356,plain,( 21.23/3.47 mem(vertex,t2tb2(sK31),t2tb(sK28))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f548,plain,( 21.23/3.47 spl44_36), 21.23/3.47 inference(avatar_split_clause,[],[f367,f546])). 21.23/3.47 tff(f367,plain,( 21.23/3.47 inv_src1(sK12,sK26,sK27)), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f544,plain,( 21.23/3.47 ~spl44_21 | spl44_35), 21.23/3.47 inference(avatar_split_clause,[],[f407,f542,f486])). 21.23/3.47 tff(f407,plain,( 21.23/3.47 ( ! [X34 : vertex1] : (~mem(vertex,t2tb2(sK22),t2tb(sK26)) | mem(vertex,t2tb2(X34),t2tb(sK28)) | mem(vertex,t2tb2(X34),t2tb(sK26)) | ~mem(vertex,t2tb2(X34),t2tb(g_succ1(sK22))) | mem(vertex,t2tb2(X34),t2tb(sK27))) )), 21.23/3.47 inference(equality_resolution,[],[f353])). 21.23/3.47 tff(f353,plain,( 21.23/3.47 ( ! [X34 : vertex1,X33 : vertex1] : (~mem(vertex,t2tb2(X33),t2tb(sK26)) | ~mem(vertex,t2tb2(X34),t2tb(g_succ1(X33))) | sK22 != X33 | mem(vertex,t2tb2(X34),t2tb(sK28)) | mem(vertex,t2tb2(X34),t2tb(sK26)) | mem(vertex,t2tb2(X34),t2tb(sK27))) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f540,plain,( 21.23/3.47 ~spl44_33 | ~spl44_34), 21.23/3.47 inference(avatar_split_clause,[],[f326,f538,f535])). 21.23/3.47 tff(f326,plain,( 21.23/3.47 ~mem(vertex,t2tb2(sK40),t2tb(sK32)) | sK22 != sK37), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f533,plain,( 21.23/3.47 spl44_32), 21.23/3.47 inference(avatar_split_clause,[],[f391,f531])). 21.23/3.47 tff(f531,plain,( 21.23/3.47 spl44_32 <=> sK14 = tb2t(add(vertex,t2tb2(sK12),empty(vertex)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_32])])). 21.23/3.47 tff(f391,plain,( 21.23/3.47 sK14 = tb2t(add(vertex,t2tb2(sK12),empty(vertex)))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f529,plain,( 21.23/3.47 spl44_31), 21.23/3.47 inference(avatar_split_clause,[],[f329,f527])). 21.23/3.47 tff(f329,plain,( 21.23/3.47 mem(vertex,t2tb2(sK40),t2tb(g_succ1(sK37)))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f525,plain,( 21.23/3.47 ~spl44_29), 21.23/3.47 inference(avatar_split_clause,[],[f383,f518])). 21.23/3.47 tff(f383,plain,( 21.23/3.47 true1 != sK20), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f524,plain,( 21.23/3.47 spl44_30), 21.23/3.47 inference(avatar_split_clause,[],[f363,f522])). 21.23/3.47 tff(f522,plain,( 21.23/3.47 spl44_30 <=> mem(vertex,t2tb2(sK33),t2tb(sK28))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_30])])). 21.23/3.47 tff(f363,plain,( 21.23/3.47 mem(vertex,t2tb2(sK33),t2tb(sK28))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f520,plain,( 21.23/3.47 spl44_28 | ~spl44_29), 21.23/3.47 inference(avatar_split_clause,[],[f380,f518,f515])). 21.23/3.47 tff(f515,plain,( 21.23/3.47 spl44_28 <=> ! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(sK18))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_28])])). 21.23/3.47 tff(f380,plain,( 21.23/3.47 ( ! [X20 : vertex1] : (~mem(vertex,t2tb2(X20),t2tb(sK18)) | true1 != sK20) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f513,plain,( 21.23/3.47 spl44_17 | spl44_5), 21.23/3.47 inference(avatar_split_clause,[],[f512,f424,f471])). 21.23/3.47 tff(f512,plain,( 21.23/3.47 sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | sK27 = sK35), 21.23/3.47 inference(subsumption_resolution,[],[f345,f335])). 21.23/3.47 tff(f345,plain,( 21.23/3.47 sK27 = sK35 | sP38(sK35,sK36,sK31,sK27,sK29,sK22) | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22)), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f511,plain,( 21.23/3.47 spl44_27), 21.23/3.47 inference(avatar_split_clause,[],[f395,f509])). 21.23/3.47 tff(f509,plain,( 21.23/3.47 spl44_27 <=> mem(vertex,t2tb2(sK11),t2tb(v1))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_27])])). 21.23/3.47 tff(f395,plain,( 21.23/3.47 mem(vertex,t2tb2(sK11),t2tb(v1))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f507,plain,( 21.23/3.47 spl44_26), 21.23/3.47 inference(avatar_split_clause,[],[f379,f505])). 21.23/3.47 tff(f505,plain,( 21.23/3.47 spl44_26 <=> sK21 = tb2t(remove(vertex,t2tb2(sK22),t2tb(sK18)))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_26])])). 21.23/3.47 tff(f379,plain,( 21.23/3.47 sK21 = tb2t(remove(vertex,t2tb2(sK22),t2tb(sK18)))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f503,plain,( 21.23/3.47 spl44_25), 21.23/3.47 inference(avatar_split_clause,[],[f371,f501])). 21.23/3.47 tff(f371,plain,( 21.23/3.47 sK26 = tb2t(add(vertex,t2tb2(sK22),t2tb(sK19)))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f499,plain,( 21.23/3.47 spl44_5 | spl44_23 | spl44_4 | spl44_24), 21.23/3.47 inference(avatar_split_clause,[],[f341,f497,f421,f494,f424])). 21.23/3.47 tff(f341,plain,( 21.23/3.47 sK29 = sK36 | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | $less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK31)))) | sP38(sK35,sK36,sK31,sK27,sK29,sK22)), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f492,plain,( 21.23/3.47 spl44_22), 21.23/3.47 inference(avatar_split_clause,[],[f394,f490])). 21.23/3.47 tff(f490,plain,( 21.23/3.47 spl44_22 <=> mem(vertex,t2tb2(sK12),t2tb(v1))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_22])])). 21.23/3.47 tff(f394,plain,( 21.23/3.47 mem(vertex,t2tb2(sK12),t2tb(v1))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f488,plain,( 21.23/3.47 spl44_20 | ~spl44_21), 21.23/3.47 inference(avatar_split_clause,[],[f406,f486,f483])). 21.23/3.47 tff(f406,plain,( 21.23/3.47 ( ! [X34 : vertex1] : (~mem(vertex,t2tb2(X34),t2tb(g_succ1(sK22))) | mem(vertex,t2tb2(X34),t2tb(sK28)) | ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,X34)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(X34)))) | ~mem(vertex,t2tb2(sK22),t2tb(sK26))) )), 21.23/3.47 inference(equality_resolution,[],[f354])). 21.23/3.47 tff(f354,plain,( 21.23/3.47 ( ! [X34 : vertex1,X33 : vertex1] : (~mem(vertex,t2tb2(X33),t2tb(sK26)) | ~mem(vertex,t2tb2(X34),t2tb(g_succ1(X33))) | sK22 != X33 | mem(vertex,t2tb2(X34),t2tb(sK28)) | ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(X33))),weight1(X33,X34)),tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(X34))))) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f481,plain,( 21.23/3.47 spl44_19), 21.23/3.47 inference(avatar_split_clause,[],[f377,f479])). 21.23/3.47 tff(f377,plain,( 21.23/3.47 mem(vertex,t2tb2(sK22),t2tb(sK18))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f477,plain,( 21.23/3.47 spl44_18), 21.23/3.47 inference(avatar_split_clause,[],[f368,f475])). 21.23/3.47 tff(f475,plain,( 21.23/3.47 spl44_18 <=> subset(vertex,t2tb(sK27),t2tb(v1))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_18])])). 21.23/3.47 tff(f368,plain,( 21.23/3.47 subset(vertex,t2tb(sK27),t2tb(v1))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f473,plain,( 21.23/3.47 spl44_15 | spl44_5 | spl44_4 | spl44_17), 21.23/3.47 inference(avatar_split_clause,[],[f342,f471,f421,f424,f463])). 21.23/3.47 tff(f342,plain,( 21.23/3.47 sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | sK27 = sK35 | mem(vertex,t2tb2(sK31),t2tb(sK35)) | sP38(sK35,sK36,sK31,sK27,sK29,sK22)), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f469,plain,( 21.23/3.47 spl44_16), 21.23/3.47 inference(avatar_split_clause,[],[f389,f467])). 21.23/3.47 tff(f389,plain,( 21.23/3.47 0 = tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12)))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f465,plain,( 21.23/3.47 spl44_15 | spl44_5 | spl44_3 | spl44_4), 21.23/3.47 inference(avatar_split_clause,[],[f343,f421,f418,f424,f463])). 21.23/3.47 tff(f343,plain,( 21.23/3.47 sP38(sK35,sK36,sK31,sK27,sK29,sK22) | sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | mem(vertex,t2tb2(sK31),t2tb(sK26)) | mem(vertex,t2tb2(sK31),t2tb(sK35))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f461,plain,( 21.23/3.47 spl44_14), 21.23/3.47 inference(avatar_split_clause,[],[f357,f459])). 21.23/3.47 tff(f357,plain,( 21.23/3.47 sK32 = tb2t(remove(vertex,t2tb2(sK31),t2tb(sK28)))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f457,plain,( 21.23/3.47 ~spl44_13), 21.23/3.47 inference(avatar_split_clause,[],[f301,f455])). 21.23/3.47 tff(f455,plain,( 21.23/3.47 spl44_13 <=> false1 = true1), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_13])])). 21.23/3.47 tff(f301,plain,( 21.23/3.47 false1 != true1), 21.23/3.47 inference(cnf_transformation,[],[f72])). 21.23/3.47 tff(f72,axiom,( 21.23/3.47 false1 != true1), 21.23/3.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 21.23/3.47 tff(f453,plain,( 21.23/3.47 spl44_12), 21.23/3.47 inference(avatar_split_clause,[],[f384,f451])). 21.23/3.47 tff(f451,plain,( 21.23/3.47 spl44_12 <=> mem(vertex,t2tb2(sK23),t2tb(sK18))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_12])])). 21.23/3.47 tff(f384,plain,( 21.23/3.47 mem(vertex,t2tb2(sK23),t2tb(sK18))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f449,plain,( 21.23/3.47 spl44_11), 21.23/3.47 inference(avatar_split_clause,[],[f366,f447])). 21.23/3.47 tff(f366,plain,( 21.23/3.47 subset(vertex,t2tb(sK26),t2tb(v1))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f445,plain,( 21.23/3.47 spl44_10), 21.23/3.47 inference(avatar_split_clause,[],[f338,f443])). 21.23/3.47 tff(f338,plain,( 21.23/3.47 mem(vertex,t2tb2(sK37),t2tb(sK26))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f441,plain,( 21.23/3.47 ~spl44_9), 21.23/3.47 inference(avatar_split_clause,[],[f327,f439])). 21.23/3.47 tff(f327,plain,( 21.23/3.47 ~mem(vertex,t2tb2(sK40),t2tb(sK26))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f437,plain,( 21.23/3.47 spl44_8), 21.23/3.47 inference(avatar_split_clause,[],[f390,f435])). 21.23/3.47 tff(f390,plain,( 21.23/3.47 inv_src1(sK12,sK19,sK18)), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f433,plain,( 21.23/3.47 spl44_6 | spl44_7), 21.23/3.47 inference(avatar_split_clause,[],[f360,f431,f428])). 21.23/3.47 tff(f428,plain,( 21.23/3.47 spl44_6 <=> ! [X37 : vertex1] : ~mem(vertex,t2tb2(X37),t2tb(sK28))), 21.23/3.47 introduced(avatar_definition,[new_symbols(naming,[spl44_6])])). 21.23/3.47 tff(f360,plain,( 21.23/3.47 ( ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(sK28)) | true1 = sK30) )), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f426,plain,( 21.23/3.47 spl44_2 | spl44_3 | spl44_4 | spl44_5), 21.23/3.47 inference(avatar_split_clause,[],[f349,f424,f421,f418,f415])). 21.23/3.47 tff(f349,plain,( 21.23/3.47 sP39(sK35,sK36,sK31,sK27,sK29,sK26,sK22) | mem(vertex,t2tb2(sK31),t2tb(sK26)) | sP38(sK35,sK36,sK31,sK27,sK29,sK22) | sK36 = tb2t1(set1(int,vertex,t2tb1(sK29),t2tb2(sK31),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK22))),weight1(sK22,sK31)))))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 tff(f413,plain,( 21.23/3.47 spl44_1), 21.23/3.47 inference(avatar_split_clause,[],[f369,f411])). 21.23/3.47 tff(f369,plain,( 21.23/3.47 0 = tb2t3(get(int,vertex,t2tb1(sK29),t2tb2(sK12)))), 21.23/3.47 inference(cnf_transformation,[],[f170])). 21.23/3.47 % SZS output end Proof for theBenchmark 21.23/3.47 % (24150)------------------------------ 21.23/3.47 % (24150)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 21.23/3.47 % (24150)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 21.23/3.47 % (24150)Termination reason: Refutation 21.23/3.47 21.23/3.47 % (24150)Memory used [KB]: 3351 21.23/3.47 % (24150)Time elapsed: 0.795 s 21.23/3.47 % (24150)Instructions burned: 1258 (million) 21.23/3.47 % (24150)------------------------------ 21.23/3.47 % (24150)------------------------------ 21.23/3.47 % (24077)Success in time 3.083 s 21.23/3.47 EOF