0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n024.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 07:56:39 EDT 2024 0.12/0.33 % CPUTime : 0.19/0.35 This is a TFF_ problem 0.19/0.35 Running first-order theorem proving 0.19/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.42 % (8618)Running in auto input_syntax mode. Trying TPTP 0.19/0.42 % (8622)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 (1800ds/8Mi) 0.19/0.42 % (8618)Running in auto input_syntax mode. Trying TPTP 0.19/0.42 % (8625)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1800ds/15Mi) 0.19/0.42 % (8618)Running in auto input_syntax mode. Trying TPTP 0.19/0.42 % (8626)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 (1800ds/32Mi) 0.19/0.42 % (8618)Running in auto input_syntax mode. Trying TPTP 0.19/0.42 % (8623)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 (1800ds/2Mi) 0.19/0.42 % (8618)Running in auto input_syntax mode. Trying TPTP 0.19/0.42 % (8620)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 (1800ds/59848Mi) 0.19/0.42 % (8623)Instruction limit reached! 0.19/0.42 % (8623)------------------------------ 0.19/0.42 % (8623)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.19/0.42 % (8623)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.19/0.42 % (8623)Termination reason: Time limit 0.19/0.42 % (8623)Termination phase: Saturation 0.19/0.42 0.19/0.42 % (8623)Memory used [KB]: 825 0.19/0.42 % (8623)Time elapsed: 0.004 s 0.19/0.42 % (8623)Instructions burned: 3 (million) 0.20/0.42 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.42 % (8621)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 (1800ds/34Mi) 0.20/0.42 % (8622)Instruction limit reached! 0.20/0.42 % (8622)------------------------------ 0.20/0.42 % (8622)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.42 % (8622)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.42 % (8622)Termination reason: Time limit 0.20/0.42 % (8622)Termination phase: Saturation 0.20/0.42 0.20/0.42 % (8622)Memory used [KB]: 890 0.20/0.42 % (8622)Time elapsed: 0.009 s 0.20/0.42 % (8622)Instructions burned: 8 (million) 0.20/0.43 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (8624)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 (1800ds/37Mi) 0.20/0.43 % (8621)Refutation not found, incomplete strategy% (8621)------------------------------ 0.20/0.43 % (8621)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.43 % (8621)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.43 % (8621)Termination reason: Refutation not found, incomplete strategy 0.20/0.43 0.20/0.43 % (8621)Memory used [KB]: 854 0.20/0.43 % (8621)Time elapsed: 0.006 s 0.20/0.43 % (8621)Instructions burned: 6 (million) 0.20/0.43 % (8621)------------------------------ 0.20/0.43 % (8621)------------------------------ 0.20/0.43 % (8625)Instruction limit reached! 0.20/0.43 % (8625)------------------------------ 0.20/0.43 % (8625)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.43 % (8625)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.43 % (8625)Termination reason: Time limit 0.20/0.43 % (8625)Termination phase: Saturation 0.20/0.43 0.20/0.43 % (8625)Memory used [KB]: 923 0.20/0.43 % (8625)Time elapsed: 0.014 s 0.20/0.43 % (8625)Instructions burned: 16 (million) 0.20/0.44 % (8626)Instruction limit reached! 0.20/0.44 % (8626)------------------------------ 0.20/0.44 % (8626)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.44 % (8626)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.44 % (8626)Termination reason: Time limit 0.20/0.44 % (8626)Termination phase: Saturation 0.20/0.44 0.20/0.44 % (8626)Memory used [KB]: 1309 0.20/0.44 % (8626)Time elapsed: 0.022 s 0.20/0.44 % (8626)Instructions burned: 32 (million) 0.20/0.45 % (8624)Instruction limit reached! 0.20/0.45 % (8624)------------------------------ 0.20/0.45 % (8624)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.45 % (8624)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.45 % (8624)Termination reason: Time limit 0.20/0.45 % (8624)Termination phase: Saturation 0.20/0.45 0.20/0.45 % (8624)Memory used [KB]: 1439 0.20/0.45 % (8624)Time elapsed: 0.028 s 0.20/0.45 % (8624)Instructions burned: 38 (million) 0.20/0.48 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.48 % (8654)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) 0.20/0.48 % (8654)Refutation not found, incomplete strategy% (8654)------------------------------ 0.20/0.48 % (8654)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.48 % (8654)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.48 % (8654)Termination reason: Refutation not found, incomplete strategy 0.20/0.48 0.20/0.48 % (8654)Memory used [KB]: 852 0.20/0.48 % (8654)Time elapsed: 0.005 s 0.20/0.48 % (8654)Instructions burned: 4 (million) 0.20/0.48 % (8654)------------------------------ 0.20/0.48 % (8654)------------------------------ 0.20/0.49 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.49 % (8660)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) 0.20/0.49 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.49 % (8661)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1799ds/35Mi) 0.20/0.49 % (8660)Instruction limit reached! 0.20/0.49 % (8660)------------------------------ 0.20/0.49 % (8660)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.49 % (8660)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.49 % (8660)Termination reason: Time limit 0.20/0.49 % (8660)Termination phase: Preprocessing 3 0.20/0.49 0.20/0.49 % (8660)Memory used [KB]: 747 0.20/0.49 % (8660)Time elapsed: 0.002 s 0.20/0.49 % (8660)Instructions burned: 2 (million) 0.20/0.49 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.49 % (8665)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) 0.20/0.49 % (8665)Instruction limit reached! 0.20/0.49 % (8665)------------------------------ 0.20/0.49 % (8665)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.49 % (8665)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.49 % (8665)Termination reason: Time limit 0.20/0.49 % (8665)Termination phase: Saturation 0.20/0.49 0.20/0.49 % (8665)Memory used [KB]: 833 0.20/0.49 % (8665)Time elapsed: 0.003 s 0.20/0.49 % (8665)Instructions burned: 4 (million) 0.20/0.49 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.49 % (8658)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) 0.20/0.50 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.50 % (8670)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) 0.20/0.50 % (8670)Instruction limit reached! 0.20/0.50 % (8670)------------------------------ 0.20/0.50 % (8670)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.50 % (8670)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.50 % (8670)Termination reason: Time limit 0.20/0.50 % (8670)Termination phase: Saturation 0.20/0.50 0.20/0.50 % (8670)Memory used [KB]: 853 0.20/0.50 % (8670)Time elapsed: 0.003 s 0.20/0.50 % (8670)Instructions burned: 4 (million) 0.20/0.50 % (8658)Instruction limit reached! 0.20/0.50 % (8658)------------------------------ 0.20/0.50 % (8658)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.50 % (8658)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.50 % (8658)Termination reason: Time limit 0.20/0.50 % (8658)Termination phase: Saturation 0.20/0.50 0.20/0.50 % (8658)Memory used [KB]: 1132 0.20/0.50 % (8658)Time elapsed: 0.012 s 0.20/0.50 % (8658)Instructions burned: 28 (million) 0.20/0.51 % (8661)Instruction limit reached! 0.20/0.51 % (8661)------------------------------ 0.20/0.51 % (8661)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.51 % (8661)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.51 % (8661)Termination reason: Time limit 0.20/0.51 % (8661)Termination phase: Saturation 0.20/0.51 0.20/0.51 % (8661)Memory used [KB]: 1310 0.20/0.51 % (8661)Time elapsed: 0.019 s 0.20/0.51 % (8661)Instructions burned: 37 (million) 0.20/0.52 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.52 % (8677)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/21Mi) 0.20/0.52 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.52 % (8678)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) 0.20/0.53 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.53 % (8679)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) 0.20/0.53 % (8677)Instruction limit reached! 0.20/0.53 % (8677)------------------------------ 0.20/0.53 % (8677)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.53 % (8677)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.53 % (8677)Termination reason: Time limit 0.20/0.53 % (8677)Termination phase: Saturation 0.20/0.53 0.20/0.53 % (8677)Memory used [KB]: 1100 0.20/0.53 % (8677)Time elapsed: 0.010 s 0.20/0.53 % (8677)Instructions burned: 22 (million) 0.20/0.53 % (8679)Instruction limit reached! 0.20/0.53 % (8679)------------------------------ 0.20/0.53 % (8679)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.53 % (8679)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.53 % (8679)Termination reason: Time limit 0.20/0.53 % (8679)Termination phase: Saturation 0.20/0.53 0.20/0.53 % (8679)Memory used [KB]: 893 0.20/0.53 % (8679)Time elapsed: 0.003 s 0.20/0.53 % (8679)Instructions burned: 3 (million) 0.20/0.54 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.54 % (8680)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/2Mi) 0.20/0.54 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.54 % (8681)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) 0.20/0.54 % (8680)Instruction limit reached! 0.20/0.54 % (8680)------------------------------ 0.20/0.54 % (8680)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.54 % (8680)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.54 % (8680)Termination reason: Time limit 0.20/0.54 % (8680)Termination phase: Saturation 0.20/0.54 0.20/0.54 % (8680)Memory used [KB]: 945 0.20/0.54 % (8680)Time elapsed: 0.003 s 0.20/0.54 % (8680)Instructions burned: 3 (million) 0.20/0.54 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.54 % (8682)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) 0.20/0.54 % (8678)Instruction limit reached! 0.20/0.54 % (8678)------------------------------ 0.20/0.54 % (8678)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.54 % (8678)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.54 % (8678)Termination reason: Time limit 0.20/0.54 % (8678)Termination phase: Saturation 0.20/0.54 0.20/0.54 % (8678)Memory used [KB]: 1716 0.20/0.54 % (8678)Time elapsed: 0.018 s 0.20/0.54 % (8678)Instructions burned: 50 (million) 0.20/0.55 % (8682)Instruction limit reached! 0.20/0.55 % (8682)------------------------------ 0.20/0.55 % (8682)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.55 % (8682)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.55 % (8682)Termination reason: Time limit 0.20/0.55 % (8682)Termination phase: Saturation 0.20/0.55 0.20/0.55 % (8682)Memory used [KB]: 1041 0.20/0.55 % (8682)Time elapsed: 0.008 s 0.20/0.55 % (8682)Instructions burned: 16 (million) 0.20/0.56 % (8681)Instruction limit reached! 0.20/0.56 % (8681)------------------------------ 0.20/0.56 % (8681)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.56 % (8681)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.56 % (8681)Termination reason: Time limit 0.20/0.56 % (8681)Termination phase: Saturation 0.20/0.56 0.20/0.56 % (8681)Memory used [KB]: 1289 0.20/0.56 % (8681)Time elapsed: 0.020 s 0.20/0.56 % (8681)Instructions burned: 50 (million) 0.20/0.56 % (8618)Running in auto input_syntax mode. Trying TPTP 0.20/0.56 % (8683)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/2Mi) 0.20/0.56 % (8683)Instruction limit reached! 0.20/0.56 % (8683)------------------------------ 0.20/0.56 % (8683)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.20/0.56 % (8683)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.20/0.56 % (8683)Termination reason: Time limit 0.20/0.56 % (8683)Termination phase: Preprocessing 3 0.20/0.56 0.20/0.56 % (8683)Memory used [KB]: 743 0.20/0.56 % (8683)Time elapsed: 0.002 s 0.20/0.56 % (8683)Instructions burned: 2 (million) 1.59/0.57 % (8618)Running in auto input_syntax mode. Trying TPTP 1.59/0.57 % (8684)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/15Mi) 1.59/0.57 % (8618)Running in auto input_syntax mode. Trying TPTP 1.59/0.57 % (8685)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/21Mi) 1.59/0.58 % (8618)Running in auto input_syntax mode. Trying TPTP 1.59/0.58 % (8686)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/46Mi) 1.59/0.58 % (8686)Refutation not found, incomplete strategy% (8686)------------------------------ 1.59/0.58 % (8686)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.59/0.58 % (8686)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.59/0.58 % (8686)Termination reason: Refutation not found, incomplete strategy 1.59/0.58 1.59/0.58 % (8686)Memory used [KB]: 861 1.59/0.58 % (8686)Time elapsed: 0.004 s 1.59/0.58 % (8686)Instructions burned: 8 (million) 1.59/0.58 % (8686)------------------------------ 1.59/0.58 % (8686)------------------------------ 1.59/0.58 % (8685)Instruction limit reached! 1.59/0.58 % (8685)------------------------------ 1.59/0.58 % (8685)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.59/0.58 % (8685)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.59/0.58 % (8685)Termination reason: Time limit 1.59/0.58 % (8685)Termination phase: Saturation 1.59/0.58 1.59/0.58 % (8685)Memory used [KB]: 1102 1.59/0.58 % (8685)Time elapsed: 0.010 s 1.59/0.58 % (8685)Instructions burned: 23 (million) 1.59/0.58 % (8684)Instruction limit reached! 1.59/0.58 % (8684)------------------------------ 1.59/0.58 % (8684)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.59/0.58 % (8684)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.59/0.58 % (8684)Termination reason: Time limit 1.59/0.58 % (8684)Termination phase: Saturation 1.59/0.58 1.59/0.58 % (8684)Memory used [KB]: 914 1.59/0.58 % (8684)Time elapsed: 0.012 s 1.59/0.58 % (8684)Instructions burned: 16 (million) 1.59/0.58 % (8618)Running in auto input_syntax mode. Trying TPTP 1.59/0.58 % (8687)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/50Mi) 1.70/0.58 % (8687)Refutation not found, incomplete strategy% (8687)------------------------------ 1.70/0.58 % (8687)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.70/0.58 % (8687)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.70/0.58 % (8687)Termination reason: Refutation not found, incomplete strategy 1.70/0.58 1.70/0.58 % (8687)Memory used [KB]: 851 1.70/0.58 % (8687)Time elapsed: 0.003 s 1.70/0.58 % (8687)Instructions burned: 5 (million) 1.70/0.58 % (8687)------------------------------ 1.70/0.58 % (8687)------------------------------ 1.70/0.59 % (8618)Running in auto input_syntax mode. Trying TPTP 1.70/0.59 % (8688)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/47Mi) 1.70/0.60 % (8618)Running in auto input_syntax mode. Trying TPTP 1.70/0.60 % (8689)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (1798ds/42Mi) 1.70/0.61 % (8688)Instruction limit reached! 1.70/0.61 % (8688)------------------------------ 1.70/0.61 % (8688)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.70/0.61 % (8688)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.70/0.61 % (8688)Termination reason: Time limit 1.70/0.61 % (8688)Termination phase: Saturation 1.70/0.61 1.70/0.61 % (8688)Memory used [KB]: 1251 1.70/0.61 % (8688)Time elapsed: 0.020 s 1.70/0.61 % (8688)Instructions burned: 48 (million) 1.70/0.61 % (8689)Instruction limit reached! 1.70/0.61 % (8689)------------------------------ 1.70/0.61 % (8689)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.70/0.61 % (8689)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.70/0.61 % (8689)Termination reason: Time limit 1.70/0.61 % (8689)Termination phase: Saturation 1.70/0.61 1.70/0.61 % (8689)Memory used [KB]: 1326 1.70/0.61 % (8689)Time elapsed: 0.037 s 1.70/0.61 % (8689)Instructions burned: 44 (million) 1.70/0.61 % (8618)Running in auto input_syntax mode. Trying TPTP 1.70/0.61 % (8690)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/43Mi) 1.70/0.61 % (8618)Running in auto input_syntax mode. Trying TPTP 1.70/0.61 % (8691)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/21Mi) 1.70/0.62 % (8618)Running in auto input_syntax mode. Trying TPTP 1.70/0.62 % (8693)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 (1797ds/41Mi) 1.70/0.62 % (8691)Instruction limit reached! 1.70/0.62 % (8691)------------------------------ 1.70/0.62 % (8691)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.70/0.62 % (8691)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.70/0.62 % (8691)Termination reason: Time limit 1.70/0.62 % (8691)Termination phase: Saturation 1.70/0.62 1.70/0.62 % (8691)Memory used [KB]: 1109 1.70/0.62 % (8691)Time elapsed: 0.032 s 1.70/0.62 % (8691)Instructions burned: 23 (million) 1.90/0.63 % (8690)Instruction limit reached! 1.90/0.63 % (8690)------------------------------ 1.90/0.63 % (8690)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.90/0.63 % (8690)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.90/0.63 % (8690)Termination reason: Time limit 1.90/0.63 % (8690)Termination phase: Saturation 1.90/0.63 1.90/0.63 % (8690)Memory used [KB]: 1417 1.90/0.63 % (8690)Time elapsed: 0.036 s 1.90/0.63 % (8690)Instructions burned: 43 (million) 1.90/0.63 % (8693)Instruction limit reached! 1.90/0.63 % (8693)------------------------------ 1.90/0.63 % (8693)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 1.90/0.63 % (8693)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 1.90/0.63 % (8693)Termination reason: Time limit 1.90/0.63 % (8693)Termination phase: Saturation 1.90/0.63 1.90/0.63 % (8693)Memory used [KB]: 1300 1.90/0.63 % (8693)Time elapsed: 0.017 s 1.90/0.63 % (8693)Instructions burned: 41 (million) 2.01/0.64 % (8618)Running in auto input_syntax mode. Trying TPTP 2.01/0.64 % (8692)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 (1797ds/21Mi) 2.01/0.64 % (8618)Running in auto input_syntax mode. Trying TPTP 2.01/0.64 % (8694)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/15Mi) 2.01/0.64 % (8618)Running in auto input_syntax mode. Trying TPTP 2.01/0.64 % (8695)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 (1797ds/47Mi) 2.01/0.65 % (8695)Refutation not found, incomplete strategy% (8695)------------------------------ 2.01/0.65 % (8695)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.01/0.65 % (8695)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.01/0.65 % (8695)Termination reason: Refutation not found, incomplete strategy 2.01/0.65 2.01/0.65 % (8695)Memory used [KB]: 857 2.01/0.65 % (8695)Time elapsed: 0.004 s 2.01/0.65 % (8695)Instructions burned: 6 (million) 2.01/0.65 % (8695)------------------------------ 2.01/0.65 % (8695)------------------------------ 2.01/0.65 % (8694)Instruction limit reached! 2.01/0.65 % (8694)------------------------------ 2.01/0.65 % (8694)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.01/0.65 % (8694)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.01/0.65 % (8694)Termination reason: Time limit 2.01/0.65 % (8694)Termination phase: Saturation 2.01/0.65 2.01/0.65 % (8694)Memory used [KB]: 1042 2.01/0.65 % (8694)Time elapsed: 0.008 s 2.01/0.65 % (8694)Instructions burned: 16 (million) 2.01/0.65 % (8692)Instruction limit reached! 2.01/0.65 % (8692)------------------------------ 2.01/0.65 % (8692)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.01/0.65 % (8692)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.01/0.65 % (8692)Termination reason: Time limit 2.01/0.65 % (8692)Termination phase: Saturation 2.01/0.65 2.01/0.65 % (8692)Memory used [KB]: 946 2.01/0.65 % (8692)Time elapsed: 0.017 s 2.01/0.65 % (8692)Instructions burned: 22 (million) 2.01/0.66 % (8618)Running in auto input_syntax mode. Trying TPTP 2.01/0.66 % (8696)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/25Mi) 2.01/0.66 % (8618)Running in auto input_syntax mode. Trying TPTP 2.01/0.66 % (8697)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 (1797ds/148Mi) 2.01/0.66 % (8697)Refutation not found, incomplete strategy% (8697)------------------------------ 2.01/0.66 % (8697)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.01/0.66 % (8697)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.01/0.66 % (8697)Termination reason: Refutation not found, incomplete strategy 2.01/0.66 2.01/0.66 % (8697)Memory used [KB]: 854 2.01/0.66 % (8697)Time elapsed: 0.003 s 2.01/0.66 % (8697)Instructions burned: 6 (million) 2.01/0.66 % (8697)------------------------------ 2.01/0.66 % (8697)------------------------------ 2.01/0.67 % (8696)Instruction limit reached! 2.01/0.67 % (8696)------------------------------ 2.01/0.67 % (8696)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.01/0.67 % (8696)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.01/0.67 % (8696)Termination reason: Time limit 2.01/0.67 % (8696)Termination phase: Saturation 2.01/0.67 2.01/0.67 % (8696)Memory used [KB]: 1154 2.01/0.67 % (8696)Time elapsed: 0.011 s 2.01/0.67 % (8696)Instructions burned: 25 (million) 2.01/0.67 % (8618)Running in auto input_syntax mode. Trying TPTP 2.01/0.67 % (8698)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 (1797ds/100Mi) 2.01/0.68 % (8618)Running in auto input_syntax mode. Trying TPTP 2.01/0.68 % (8707)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 (1797ds/76Mi) 2.01/0.68 % (8618)Running in auto input_syntax mode. Trying TPTP 2.01/0.68 % (8709)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/58Mi) 2.01/0.70 % (8618)Running in auto input_syntax mode. Trying TPTP 2.01/0.70 % (8721)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 (1796ds/463Mi) 2.01/0.70 % (8618)Running in auto input_syntax mode. Trying TPTP 2.01/0.70 % (8720)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 (1796ds/108Mi) 2.01/0.70 % (8698)Instruction limit reached! 2.01/0.70 % (8698)------------------------------ 2.01/0.70 % (8698)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.01/0.70 % (8698)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.01/0.70 % (8698)Termination reason: Time limit 2.01/0.70 % (8698)Termination phase: Saturation 2.01/0.70 2.01/0.70 % (8698)Memory used [KB]: 2543 2.01/0.70 % (8698)Time elapsed: 0.037 s 2.01/0.70 % (8698)Instructions burned: 103 (million) 2.01/0.70 % (8709)Instruction limit reached! 2.01/0.70 % (8709)------------------------------ 2.01/0.70 % (8709)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.01/0.70 % (8709)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.01/0.70 % (8709)Termination reason: Time limit 2.01/0.70 % (8709)Termination phase: Saturation 2.01/0.70 2.01/0.70 % (8709)Memory used [KB]: 1787 2.01/0.70 % (8709)Time elapsed: 0.022 s 2.01/0.70 % (8709)Instructions burned: 58 (million) 2.01/0.71 % (8618)Running in auto input_syntax mode. Trying TPTP 2.01/0.71 % (8712)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (1797ds/96Mi) 2.45/0.71 % (8707)Instruction limit reached! 2.45/0.71 % (8707)------------------------------ 2.45/0.71 % (8707)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.45/0.71 % (8707)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.45/0.71 % (8707)Termination reason: Time limit 2.45/0.71 % (8707)Termination phase: Saturation 2.45/0.71 2.45/0.71 % (8707)Memory used [KB]: 2038 2.45/0.71 % (8707)Time elapsed: 0.029 s 2.45/0.71 % (8707)Instructions burned: 77 (million) 2.45/0.74 % (8720)Instruction limit reached! 2.45/0.74 % (8720)------------------------------ 2.45/0.74 % (8720)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.45/0.74 % (8720)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.45/0.74 % (8720)Termination reason: Time limit 2.45/0.74 % (8720)Termination phase: Saturation 2.45/0.74 2.45/0.74 % (8720)Memory used [KB]: 897 2.45/0.74 % (8720)Time elapsed: 0.039 s 2.45/0.74 % (8720)Instructions burned: 110 (million) 2.45/0.74 % (8618)Running in auto input_syntax mode. Trying TPTP 2.45/0.74 % (8760)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 (1796ds/494Mi) 2.45/0.74 % (8618)Running in auto input_syntax mode. Trying TPTP 2.45/0.74 % (8761)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/223Mi) 2.45/0.75 % (8712)Instruction limit reached! 2.45/0.75 % (8712)------------------------------ 2.45/0.75 % (8712)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.45/0.75 % (8712)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.45/0.75 % (8712)Termination reason: Time limit 2.45/0.75 % (8712)Termination phase: Saturation 2.45/0.75 2.45/0.75 % (8712)Memory used [KB]: 1166 2.45/0.75 % (8712)Time elapsed: 0.041 s 2.45/0.75 % (8712)Instructions burned: 97 (million) 2.45/0.75 % (8618)Running in auto input_syntax mode. Trying TPTP 2.45/0.75 % (8765)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 (1796ds/343Mi) 2.73/0.78 % (8618)Running in auto input_syntax mode. Trying TPTP 2.73/0.78 % (8786)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 (1796ds/488Mi) 2.73/0.78 % (8618)Running in auto input_syntax mode. Trying TPTP 2.73/0.78 % (8787)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (1796ds/150Mi) 2.73/0.78 % (8786)Refutation not found, incomplete strategy% (8786)------------------------------ 2.73/0.78 % (8786)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.73/0.78 % (8786)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.73/0.78 % (8786)Termination reason: Refutation not found, incomplete strategy 2.73/0.78 2.73/0.78 % (8786)Memory used [KB]: 844 2.73/0.78 % (8786)Time elapsed: 0.004 s 2.73/0.78 % (8786)Instructions burned: 6 (million) 2.73/0.78 % (8786)------------------------------ 2.73/0.78 % (8786)------------------------------ 2.73/0.82 % (8618)Running in auto input_syntax mode. Trying TPTP 2.73/0.82 % (8788)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 (1795ds/160Mi) 2.73/0.82 % (8761)Instruction limit reached! 2.73/0.82 % (8761)------------------------------ 2.73/0.82 % (8761)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.73/0.82 % (8761)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.73/0.82 % (8761)Termination reason: Time limit 2.73/0.82 % (8761)Termination phase: Saturation 2.73/0.82 2.73/0.82 % (8761)Memory used [KB]: 1328 2.73/0.82 % (8761)Time elapsed: 0.080 s 2.73/0.82 % (8761)Instructions burned: 223 (million) 2.73/0.83 % (8787)Instruction limit reached! 2.73/0.83 % (8787)------------------------------ 2.73/0.83 % (8787)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.73/0.83 % (8787)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.73/0.83 % (8787)Termination reason: Time limit 2.73/0.83 % (8787)Termination phase: Saturation 2.73/0.83 2.73/0.83 % (8787)Memory used [KB]: 1075 2.73/0.83 % (8787)Time elapsed: 0.052 s 2.73/0.83 % (8787)Instructions burned: 151 (million) 2.73/0.85 % (8765)Instruction limit reached! 2.73/0.85 % (8765)------------------------------ 2.73/0.85 % (8765)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 2.73/0.85 % (8765)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 2.73/0.85 % (8765)Termination reason: Time limit 2.73/0.85 % (8765)Termination phase: Saturation 2.73/0.85 2.73/0.85 % (8765)Memory used [KB]: 2605 2.73/0.85 % (8765)Time elapsed: 0.107 s 2.73/0.85 % (8765)Instructions burned: 343 (million) 3.07/0.85 % (8721)Instruction limit reached! 3.07/0.85 % (8721)------------------------------ 3.07/0.85 % (8721)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.07/0.85 % (8721)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.07/0.85 % (8721)Termination reason: Time limit 3.07/0.85 % (8721)Termination phase: Saturation 3.07/0.85 3.07/0.85 % (8721)Memory used [KB]: 5251 3.07/0.85 % (8721)Time elapsed: 0.152 s 3.07/0.85 % (8721)Instructions burned: 463 (million) 3.07/0.86 % (8618)Running in auto input_syntax mode. Trying TPTP 3.07/0.86 % (8789)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 (1795ds/370Mi) 3.42/0.89 % (8618)Running in auto input_syntax mode. Trying TPTP 3.42/0.89 % (8790)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/493Mi) 3.42/0.89 % (8788)Instruction limit reached! 3.42/0.89 % (8788)------------------------------ 3.42/0.89 % (8788)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.42/0.89 % (8788)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.42/0.89 % (8788)Termination reason: Time limit 3.42/0.89 % (8788)Termination phase: Saturation 3.42/0.89 3.42/0.89 % (8788)Memory used [KB]: 1166 3.42/0.89 % (8788)Time elapsed: 0.075 s 3.42/0.89 % (8788)Instructions burned: 160 (million) 3.42/0.89 % (8760)Instruction limit reached! 3.42/0.89 % (8760)------------------------------ 3.42/0.89 % (8760)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.42/0.89 % (8760)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.42/0.89 % (8760)Termination reason: Time limit 3.42/0.89 % (8760)Termination phase: Saturation 3.42/0.89 3.42/0.89 % (8760)Memory used [KB]: 3988 3.42/0.89 % (8760)Time elapsed: 0.142 s 3.42/0.89 % (8760)Instructions burned: 496 (million) 3.42/0.92 % (8618)Running in auto input_syntax mode. Trying TPTP 3.42/0.92 % (8797)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/81Mi) 3.75/0.93 % (8797)Refutation not found, incomplete strategy% (8797)------------------------------ 3.75/0.93 % (8797)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.75/0.93 % (8797)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.75/0.93 % (8797)Termination reason: Refutation not found, incomplete strategy 3.75/0.93 3.75/0.93 % (8797)Memory used [KB]: 857 3.75/0.93 % (8797)Time elapsed: 0.007 s 3.75/0.93 % (8797)Instructions burned: 7 (million) 3.75/0.93 % (8797)------------------------------ 3.75/0.93 % (8797)------------------------------ 3.75/0.93 % (8618)Running in auto input_syntax mode. Trying TPTP 3.75/0.93 % (8800)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (1795ds/146Mi) 3.84/0.96 % (8618)Running in auto input_syntax mode. Trying TPTP 3.84/0.96 % (8816)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (1794ds/274Mi) 3.84/0.97 % (8618)Running in auto input_syntax mode. Trying TPTP 3.84/0.97 % (8815)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 (1794ds/211Mi) 3.84/0.99 % (8618)Running in auto input_syntax mode. Trying TPTP 3.84/0.99 % (8819)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 (1794ds/330Mi) 3.91/1.03 % (8800)Instruction limit reached! 3.91/1.03 % (8800)------------------------------ 3.91/1.03 % (8800)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.91/1.03 % (8800)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.91/1.03 % (8800)Termination reason: Time limit 3.91/1.03 % (8800)Termination phase: Saturation 3.91/1.03 3.91/1.03 % (8800)Memory used [KB]: 997 3.91/1.03 % (8800)Time elapsed: 0.129 s 3.91/1.03 % (8800)Instructions burned: 147 (million) 3.91/1.05 % (8789)Instruction limit reached! 3.91/1.05 % (8789)------------------------------ 3.91/1.05 % (8789)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.91/1.05 % (8789)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.91/1.05 % (8789)Termination reason: Time limit 3.91/1.05 % (8789)Termination phase: Saturation 3.91/1.05 3.91/1.05 % (8789)Memory used [KB]: 1889 3.91/1.05 % (8789)Time elapsed: 0.193 s 3.91/1.05 % (8789)Instructions burned: 370 (million) 3.91/1.08 % (8816)Instruction limit reached! 3.91/1.08 % (8816)------------------------------ 3.91/1.08 % (8816)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.91/1.08 % (8816)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.91/1.08 % (8816)Termination reason: Time limit 3.91/1.08 % (8816)Termination phase: Saturation 3.91/1.08 3.91/1.08 % (8816)Memory used [KB]: 1881 3.91/1.08 % (8816)Time elapsed: 0.119 s 3.91/1.08 % (8816)Instructions burned: 275 (million) 3.91/1.08 % (8790)Refutation not found, non-redundant clauses discarded% (8790)------------------------------ 3.91/1.08 % (8790)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 3.91/1.08 % (8790)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 3.91/1.08 % (8790)Termination reason: Refutation not found, non-redundant clauses discarded 3.91/1.08 3.91/1.08 % (8790)Memory used [KB]: 2085 3.91/1.08 % (8790)Time elapsed: 0.198 s 3.91/1.08 % (8790)Instructions burned: 294 (million) 3.91/1.08 % (8790)------------------------------ 3.91/1.08 % (8790)------------------------------ 5.03/1.10 % (8618)Running in auto input_syntax mode. Trying TPTP 5.03/1.10 % (8820)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 (1793ds/294Mi) 5.03/1.10 % (8815)Instruction limit reached! 5.03/1.10 % (8815)------------------------------ 5.03/1.10 % (8815)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 5.03/1.10 % (8815)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 5.03/1.10 % (8815)Termination reason: Time limit 5.03/1.10 % (8815)Termination phase: Saturation 5.03/1.10 5.03/1.10 % (8815)Memory used [KB]: 3851 5.03/1.10 % (8815)Time elapsed: 0.183 s 5.03/1.10 % (8815)Instructions burned: 211 (million) 5.03/1.12 % (8618)Running in auto input_syntax mode. Trying TPTP 5.03/1.12 % (8821)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (1793ds/213Mi) 5.03/1.14 % (8819)Instruction limit reached! 5.03/1.14 % (8819)------------------------------ 5.03/1.14 % (8819)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 5.03/1.14 % (8819)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 5.03/1.14 % (8819)Termination reason: Time limit 5.03/1.14 % (8819)Termination phase: Saturation 5.03/1.14 5.03/1.14 % (8819)Memory used [KB]: 1515 5.03/1.14 % (8819)Time elapsed: 0.149 s 5.03/1.14 % (8819)Instructions burned: 332 (million) 5.03/1.14 % (8618)Running in auto input_syntax mode. Trying TPTP 5.03/1.14 % (8822)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 (1792ds/374Mi) 5.03/1.14 % (8618)Running in auto input_syntax mode. Trying TPTP 5.03/1.14 % Exception at run slice level 5.03/1.14 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 5.03/1.17 % (8618)Running in auto input_syntax mode. Trying TPTP 5.03/1.17 % (8824)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 (1792ds/488Mi) 5.03/1.17 % (8824)Refutation not found, incomplete strategy% (8824)------------------------------ 5.03/1.17 % (8824)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 5.03/1.17 % (8824)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 5.03/1.17 % (8824)Termination reason: Refutation not found, incomplete strategy 5.03/1.17 5.03/1.17 % (8824)Memory used [KB]: 844 5.03/1.17 % (8824)Time elapsed: 0.006 s 5.03/1.17 % (8824)Instructions burned: 6 (million) 5.03/1.17 % (8824)------------------------------ 5.03/1.17 % (8824)------------------------------ 5.64/1.20 % (8618)Running in auto input_syntax mode. Trying TPTP 5.64/1.20 % (8825)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 (1792ds/230Mi) 5.64/1.21 % (8618)Running in auto input_syntax mode. Trying TPTP 5.64/1.21 % (8826)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 (1792ds/360Mi) 5.70/1.23 % (8821)Instruction limit reached! 5.70/1.23 % (8821)------------------------------ 5.70/1.23 % (8821)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 5.70/1.23 % (8821)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 5.70/1.23 % (8821)Termination reason: Time limit 5.70/1.23 % (8821)Termination phase: Saturation 5.70/1.23 5.70/1.23 % (8821)Memory used [KB]: 1497 5.70/1.23 % (8821)Time elapsed: 0.115 s 5.70/1.23 % (8821)Instructions burned: 214 (million) 5.70/1.24 % (8618)Running in auto input_syntax mode. Trying TPTP 5.70/1.24 % (8827)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 (1791ds/382Mi) 5.70/1.26 % (8820)Refutation not found, non-redundant clauses discarded% (8820)------------------------------ 5.70/1.26 % (8820)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 5.70/1.26 % (8820)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 5.70/1.26 % (8820)Termination reason: Refutation not found, non-redundant clauses discarded 5.70/1.26 5.70/1.26 % (8820)Memory used [KB]: 1327 5.70/1.26 % (8820)Time elapsed: 0.165 s 5.70/1.26 % (8820)Instructions burned: 241 (million) 5.70/1.26 % (8820)------------------------------ 5.70/1.26 % (8820)------------------------------ 5.70/1.30 % (8618)Running in auto input_syntax mode. Trying TPTP 5.70/1.30 % (8828)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 (1791ds/256Mi) 5.70/1.32 % (8822)First to succeed. 5.88/1.32 % (8822)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8618" 5.88/1.33 % (8618)Running in auto input_syntax mode. Trying TPTP 5.88/1.33 % (8822)Refutation found. Thanks to Tanya! 5.88/1.33 % SZS status Theorem for theBenchmark 5.88/1.33 % SZS output start Proof for theBenchmark 5.88/1.33 tff(type_def_5, type, set: $tType). 5.88/1.33 tff(type_def_6, type, element: $tType). 5.88/1.33 tff(func_def_0, type, empty_set: set). 5.88/1.33 tff(func_def_1, type, singleton: element > set). 5.88/1.33 tff(func_def_2, type, intersection: (set * set) > set). 5.88/1.33 tff(func_def_3, type, union: (set * set) > set). 5.88/1.33 tff(func_def_4, type, difference: (set * set) > set). 5.88/1.33 tff(func_def_5, type, complement: set > set). 5.88/1.33 tff(func_def_6, type, cardinality: set > $int). 5.88/1.33 tff(func_def_12, type, sK0: set > element). 5.88/1.33 tff(func_def_13, type, sK1: set). 5.88/1.33 tff(func_def_14, type, sK2: element). 5.88/1.33 tff(func_def_15, type, sK3: element). 5.88/1.33 tff(func_def_16, type, sK4: element). 5.88/1.33 tff(func_def_17, type, sK5: set). 5.88/1.33 tff(func_def_18, type, sF6: $int). 5.88/1.33 tff(func_def_19, type, sF7: $int). 5.88/1.33 tff(func_def_20, type, sF8: set). 5.88/1.33 tff(func_def_21, type, sF9: set). 5.88/1.33 tff(func_def_22, type, sF10: set). 5.88/1.33 tff(func_def_23, type, sF11: set). 5.88/1.33 tff(func_def_24, type, sF12: set). 5.88/1.33 tff(func_def_25, type, sF13: set). 5.88/1.33 tff(func_def_26, type, sF14: $int). 5.88/1.33 tff(func_def_27, type, sF15: set). 5.88/1.33 tff(func_def_28, type, sF16: set). 5.88/1.33 tff(pred_def_1, type, member: (element * set) > $o). 5.88/1.33 tff(pred_def_2, type, subset: (set * set) > $o). 5.88/1.33 tff(f2358,plain,( 5.88/1.33 $false), 5.88/1.33 inference(avatar_smt_refutation,[],[f123,f127,f131,f135,f139,f143,f147,f151,f155,f159,f163,f168,f172,f176,f180,f184,f188,f194,f199,f203,f207,f225,f232,f251,f264,f273,f300,f312,f316,f369,f378,f382,f484,f490,f499,f519,f569,f590,f632,f641,f662,f706,f713,f719,f726,f735,f736,f745,f752,f759,f766,f794,f801,f811,f818,f823,f828,f832,f837,f842,f845,f848,f855,f860,f870,f879,f895,f904,f905,f917,f922,f946,f955,f965,f970,f977,f1006,f1043,f1099,f1103,f1110,f1116,f1124,f1131,f1135,f1141,f1146,f1151,f1176,f1232,f1259,f1283,f1318,f1387,f1392,f1417,f1443,f1472,f1514,f1699,f1713,f1727,f1731,f1746,f1750,f1754,f1761,f1768,f1778,f1785,f1795,f1822,f1874,f1961,f1967,f1983,f2011,f2015,f2024,f2030,f2037,f2043,f2050,f2081,f2083,f2111,f2143,f2160,f2178,f2182,f2187,f2191,f2195,f2213,f2220,f2269,f2349])). 5.88/1.33 tff(f2349,plain,( 5.88/1.33 ~spl17_10 | spl17_41 | spl17_60), 5.88/1.33 inference(avatar_contradiction_clause,[],[f2348])). 5.88/1.33 tff(f2348,plain,( 5.88/1.33 $false | (~spl17_10 | spl17_41 | spl17_60)), 5.88/1.33 inference(subsumption_resolution,[],[f2344,f631])). 5.88/1.33 tff(f631,plain,( 5.88/1.33 ~member(sK2,sF11) | spl17_41), 5.88/1.33 inference(avatar_component_clause,[],[f630])). 5.88/1.33 tff(f630,plain,( 5.88/1.33 spl17_41 <=> member(sK2,sF11)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_41])])). 5.88/1.33 tff(f2344,plain,( 5.88/1.33 member(sK2,sF11) | (~spl17_10 | spl17_60)), 5.88/1.33 inference(trivial_inequality_removal,[],[f2340])). 5.88/1.33 tff(f2340,plain,( 5.88/1.33 empty_set != empty_set | member(sK2,sF11) | (~spl17_10 | spl17_60)), 5.88/1.33 inference(superposition,[],[f844,f1533])). 5.88/1.33 tff(f1533,plain,( 5.88/1.33 ( ! [X0 : set] : (empty_set = intersection(X0,sF12) | member(sK2,X0)) ) | ~spl17_10), 5.88/1.33 inference(duplicate_literal_removal,[],[f1528])). 5.88/1.33 tff(f1528,plain,( 5.88/1.33 ( ! [X0 : set] : (member(sK2,X0) | empty_set = intersection(X0,sF12) | empty_set = intersection(X0,sF12)) ) | ~spl17_10), 5.88/1.33 inference(superposition,[],[f235,f411])). 5.88/1.33 tff(f411,plain,( 5.88/1.33 ( ! [X0 : set] : (sK2 = sK0(intersection(X0,sF12)) | empty_set = intersection(X0,sF12)) ) | ~spl17_10), 5.88/1.33 inference(resolution,[],[f218,f217])). 5.88/1.33 tff(f217,plain,( 5.88/1.33 ( ! [X0 : element] : (~member(X0,sF12) | sK2 = X0) ) | ~spl17_10), 5.88/1.33 inference(superposition,[],[f93,f158])). 5.88/1.33 tff(f158,plain,( 5.88/1.33 singleton(sK2) = sF12 | ~spl17_10), 5.88/1.33 inference(avatar_component_clause,[],[f157])). 5.88/1.33 tff(f157,plain,( 5.88/1.33 spl17_10 <=> singleton(sK2) = sF12), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_10])])). 5.88/1.33 tff(f93,plain,( 5.88/1.33 ( ! [X0 : element,X1 : element] : (~member(X0,singleton(X1)) | X0 = X1) )), 5.88/1.33 inference(cnf_transformation,[],[f63])). 5.88/1.33 tff(f63,plain,( 5.88/1.33 ! [X0 : element,X1 : element] : ((member(X0,singleton(X1)) | X0 != X1) & (X0 = X1 | ~member(X0,singleton(X1))))), 5.88/1.33 inference(rectify,[],[f62])). 5.88/1.33 tff(f62,plain,( 5.88/1.33 ! [X1 : element,X0 : element] : ((member(X1,singleton(X0)) | X0 != X1) & (X0 = X1 | ~member(X1,singleton(X0))))), 5.88/1.33 inference(nnf_transformation,[],[f30])). 5.88/1.33 tff(f30,plain,( 5.88/1.33 ! [X1 : element,X0 : element] : (member(X1,singleton(X0)) <=> X0 = X1)), 5.88/1.33 inference(rectify,[],[f7])). 5.88/1.33 tff(f7,axiom,( 5.88/1.33 ! [X1 : element,X8 : element] : (X1 = X8 <=> member(X8,singleton(X1)))), 5.88/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.88/1.33 tff(f218,plain,( 5.88/1.33 ( ! [X0 : set,X1 : set] : (member(sK0(intersection(X0,X1)),X1) | empty_set = intersection(X0,X1)) )), 5.88/1.33 inference(resolution,[],[f85,f72])). 5.88/1.33 tff(f72,plain,( 5.88/1.33 ( ! [X0 : set] : (member(sK0(X0),X0) | empty_set = X0) )), 5.88/1.33 inference(cnf_transformation,[],[f47])). 5.88/1.33 tff(f47,plain,( 5.88/1.33 ! [X0 : set] : ((! [X1 : element] : ~member(X1,X0) | empty_set != X0) & (empty_set = X0 | member(sK0(X0),X0)))), 5.88/1.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f45,f46])). 5.88/1.33 tff(f46,plain,( 5.88/1.33 ! [X0 : set] : (? [X2 : element] : member(X2,X0) => member(sK0(X0),X0))), 5.88/1.33 introduced(choice_axiom,[])). 5.88/1.33 tff(f45,plain,( 5.88/1.33 ! [X0 : set] : ((! [X1 : element] : ~member(X1,X0) | empty_set != X0) & (empty_set = X0 | ? [X2 : element] : member(X2,X0)))), 5.88/1.33 inference(rectify,[],[f44])). 5.88/1.33 tff(f44,plain,( 5.88/1.33 ! [X0 : set] : ((! [X1 : element] : ~member(X1,X0) | empty_set != X0) & (empty_set = X0 | ? [X1 : element] : member(X1,X0)))), 5.88/1.33 inference(nnf_transformation,[],[f37])). 5.88/1.33 tff(f37,plain,( 5.88/1.33 ! [X0 : set] : (! [X1 : element] : ~member(X1,X0) <=> empty_set = X0)), 5.88/1.33 inference(rectify,[],[f11])). 5.88/1.33 tff(f11,axiom,( 5.88/1.33 ! [X3 : set] : (empty_set = X3 <=> ! [X8 : element] : ~member(X8,X3))), 5.88/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.88/1.33 tff(f85,plain,( 5.88/1.33 ( ! [X2 : set,X0 : set,X1 : element] : (~member(X1,intersection(X0,X2)) | member(X1,X2)) )), 5.88/1.33 inference(cnf_transformation,[],[f56])). 5.88/1.33 tff(f56,plain,( 5.88/1.33 ! [X0 : set,X1 : element,X2 : set] : ((member(X1,intersection(X0,X2)) | ~member(X1,X0) | ~member(X1,X2)) & ((member(X1,X0) & member(X1,X2)) | ~member(X1,intersection(X0,X2))))), 5.88/1.33 inference(rectify,[],[f55])). 5.88/1.33 tff(f55,plain,( 5.88/1.33 ! [X1 : set,X2 : element,X0 : set] : ((member(X2,intersection(X1,X0)) | ~member(X2,X1) | ~member(X2,X0)) & ((member(X2,X1) & member(X2,X0)) | ~member(X2,intersection(X1,X0))))), 5.88/1.33 inference(flattening,[],[f54])). 5.88/1.33 tff(f54,plain,( 5.88/1.33 ! [X1 : set,X2 : element,X0 : set] : ((member(X2,intersection(X1,X0)) | (~member(X2,X1) | ~member(X2,X0))) & ((member(X2,X1) & member(X2,X0)) | ~member(X2,intersection(X1,X0))))), 5.88/1.33 inference(nnf_transformation,[],[f31])). 5.88/1.33 tff(f31,plain,( 5.88/1.33 ! [X1 : set,X2 : element,X0 : set] : (member(X2,intersection(X1,X0)) <=> (member(X2,X1) & member(X2,X0)))), 5.88/1.33 inference(rectify,[],[f14])). 5.88/1.33 tff(f14,axiom,( 5.88/1.33 ! [X0 : set,X1 : set,X8 : element] : (member(X8,intersection(X1,X0)) <=> (member(X8,X1) & member(X8,X0)))), 5.88/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.88/1.33 tff(f235,plain,( 5.88/1.33 ( ! [X0 : set,X1 : set] : (member(sK0(intersection(X0,X1)),X0) | empty_set = intersection(X0,X1)) )), 5.88/1.33 inference(resolution,[],[f86,f72])). 5.88/1.33 tff(f86,plain,( 5.88/1.33 ( ! [X2 : set,X0 : set,X1 : element] : (~member(X1,intersection(X0,X2)) | member(X1,X0)) )), 5.88/1.33 inference(cnf_transformation,[],[f56])). 5.88/1.33 tff(f844,plain,( 5.88/1.33 empty_set != intersection(sF11,sF12) | spl17_60), 5.88/1.33 inference(avatar_component_clause,[],[f799])). 5.88/1.33 tff(f799,plain,( 5.88/1.33 spl17_60 <=> empty_set = intersection(sF11,sF12)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_60])])). 5.88/1.33 tff(f2269,plain,( 5.88/1.33 spl17_125 | ~spl17_56 | ~spl17_82 | ~spl17_91), 5.88/1.33 inference(avatar_split_clause,[],[f2231,f1149,f1097,f764,f2141])). 5.88/1.33 tff(f2141,plain,( 5.88/1.33 spl17_125 <=> cardinality(sF16) = $sum(2,cardinality(sK1))), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_125])])). 5.88/1.33 tff(f764,plain,( 5.88/1.33 spl17_56 <=> $sum(cardinality(sF15),cardinality(sF10)) = cardinality(sF16)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_56])])). 5.88/1.33 tff(f1097,plain,( 5.88/1.33 spl17_82 <=> 1 = cardinality(sF10)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_82])])). 5.88/1.33 tff(f1149,plain,( 5.88/1.33 spl17_91 <=> cardinality(sF15) = $sum(cardinality(sK1),1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_91])])). 5.88/1.33 tff(f2231,plain,( 5.88/1.33 cardinality(sF16) = $sum(2,cardinality(sK1)) | (~spl17_56 | ~spl17_82 | ~spl17_91)), 5.88/1.33 inference(evaluation,[],[f2230])). 5.88/1.33 tff(f2230,plain,( 5.88/1.33 cardinality(sF16) = $sum($sum(cardinality(sK1),1),1) | (~spl17_56 | ~spl17_82 | ~spl17_91)), 5.88/1.33 inference(forward_demodulation,[],[f2229,f2110])). 5.88/1.33 tff(f2110,plain,( 5.88/1.33 cardinality(sF15) = $sum(cardinality(sK1),1) | ~spl17_91), 5.88/1.33 inference(avatar_component_clause,[],[f1149])). 5.88/1.33 tff(f2229,plain,( 5.88/1.33 cardinality(sF16) = $sum(cardinality(sF15),1) | (~spl17_56 | ~spl17_82)), 5.88/1.33 inference(forward_demodulation,[],[f836,f1098])). 5.88/1.33 tff(f1098,plain,( 5.88/1.33 1 = cardinality(sF10) | ~spl17_82), 5.88/1.33 inference(avatar_component_clause,[],[f1097])). 5.88/1.33 tff(f836,plain,( 5.88/1.33 $sum(cardinality(sF15),cardinality(sF10)) = cardinality(sF16) | ~spl17_56), 5.88/1.33 inference(avatar_component_clause,[],[f764])). 5.88/1.33 tff(f2220,plain,( 5.88/1.33 ~spl17_9 | spl17_35 | spl17_54), 5.88/1.33 inference(avatar_contradiction_clause,[],[f2219])). 5.88/1.33 tff(f2219,plain,( 5.88/1.33 $false | (~spl17_9 | spl17_35 | spl17_54)), 5.88/1.33 inference(subsumption_resolution,[],[f2208,f483])). 5.88/1.33 tff(f483,plain,( 5.88/1.33 ~member(sK4,sF9) | spl17_35), 5.88/1.33 inference(avatar_component_clause,[],[f482])). 5.88/1.33 tff(f482,plain,( 5.88/1.33 spl17_35 <=> member(sK4,sF9)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_35])])). 5.88/1.33 tff(f2208,plain,( 5.88/1.33 member(sK4,sF9) | (~spl17_9 | spl17_54)), 5.88/1.33 inference(trivial_inequality_removal,[],[f2205])). 5.88/1.33 tff(f2205,plain,( 5.88/1.33 member(sK4,sF9) | empty_set != empty_set | (~spl17_9 | spl17_54)), 5.88/1.33 inference(superposition,[],[f827,f1504])). 5.88/1.33 tff(f1504,plain,( 5.88/1.33 ( ! [X0 : set] : (empty_set = intersection(X0,sF10) | member(sK4,X0)) ) | ~spl17_9), 5.88/1.33 inference(duplicate_literal_removal,[],[f1501])). 5.88/1.33 tff(f1501,plain,( 5.88/1.33 ( ! [X0 : set] : (member(sK4,X0) | empty_set = intersection(X0,sF10) | empty_set = intersection(X0,sF10)) ) | ~spl17_9), 5.88/1.33 inference(superposition,[],[f235,f410])). 5.88/1.33 tff(f410,plain,( 5.88/1.33 ( ! [X0 : set] : (sK4 = sK0(intersection(X0,sF10)) | empty_set = intersection(X0,sF10)) ) | ~spl17_9), 5.88/1.33 inference(resolution,[],[f218,f216])). 5.88/1.33 tff(f216,plain,( 5.88/1.33 ( ! [X0 : element] : (~member(X0,sF10) | sK4 = X0) ) | ~spl17_9), 5.88/1.33 inference(superposition,[],[f93,f154])). 5.88/1.33 tff(f154,plain,( 5.88/1.33 singleton(sK4) = sF10 | ~spl17_9), 5.88/1.33 inference(avatar_component_clause,[],[f153])). 5.88/1.33 tff(f153,plain,( 5.88/1.33 spl17_9 <=> singleton(sK4) = sF10), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_9])])). 5.88/1.33 tff(f827,plain,( 5.88/1.33 empty_set != intersection(sF9,sF10) | spl17_54), 5.88/1.33 inference(avatar_component_clause,[],[f750])). 5.88/1.33 tff(f750,plain,( 5.88/1.33 spl17_54 <=> empty_set = intersection(sF9,sF10)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_54])])). 5.88/1.33 tff(f2213,plain,( 5.88/1.33 spl17_5 | ~spl17_9 | spl17_55), 5.88/1.33 inference(avatar_contradiction_clause,[],[f2212])). 5.88/1.33 tff(f2212,plain,( 5.88/1.33 $false | (spl17_5 | ~spl17_9 | spl17_55)), 5.88/1.33 inference(subsumption_resolution,[],[f2211,f138])). 5.88/1.33 tff(f138,plain,( 5.88/1.33 ~member(sK4,sF15) | spl17_5), 5.88/1.33 inference(avatar_component_clause,[],[f137])). 5.88/1.33 tff(f137,plain,( 5.88/1.33 spl17_5 <=> member(sK4,sF15)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_5])])). 5.88/1.33 tff(f2211,plain,( 5.88/1.33 member(sK4,sF15) | (~spl17_9 | spl17_55)), 5.88/1.33 inference(trivial_inequality_removal,[],[f2206])). 5.88/1.33 tff(f2206,plain,( 5.88/1.33 empty_set != empty_set | member(sK4,sF15) | (~spl17_9 | spl17_55)), 5.88/1.33 inference(superposition,[],[f908,f1504])). 5.88/1.33 tff(f908,plain,( 5.88/1.33 empty_set != intersection(sF15,sF10) | spl17_55), 5.88/1.33 inference(avatar_component_clause,[],[f761])). 5.88/1.33 tff(f761,plain,( 5.88/1.33 spl17_55 <=> empty_set = intersection(sF15,sF10)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_55])])). 5.88/1.33 tff(f2195,plain,( 5.88/1.33 ~spl17_128 | spl17_112 | ~spl17_88), 5.88/1.33 inference(avatar_split_clause,[],[f2162,f1133,f1787,f2193])). 5.88/1.33 tff(f2193,plain,( 5.88/1.33 spl17_128 <=> 0 = $sum(sF6,1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_128])])). 5.88/1.33 tff(f1787,plain,( 5.88/1.33 spl17_112 <=> empty_set = sF9), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_112])])). 5.88/1.33 tff(f1133,plain,( 5.88/1.33 spl17_88 <=> cardinality(sF9) = $sum(sF6,1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_88])])). 5.88/1.33 tff(f2162,plain,( 5.88/1.33 0 != $sum(sF6,1) | empty_set = sF9 | ~spl17_88), 5.88/1.33 inference(superposition,[],[f77,f2159])). 5.88/1.33 tff(f2159,plain,( 5.88/1.33 cardinality(sF9) = $sum(sF6,1) | ~spl17_88), 5.88/1.33 inference(avatar_component_clause,[],[f1133])). 5.88/1.33 tff(f77,plain,( 5.88/1.33 ( ! [X0 : set] : (0 != cardinality(X0) | empty_set = X0) )), 5.88/1.33 inference(cnf_transformation,[],[f49])). 5.88/1.33 tff(f49,plain,( 5.88/1.33 ! [X0 : set] : ((empty_set = X0 | 0 != cardinality(X0)) & (0 = cardinality(X0) | empty_set != X0))), 5.88/1.33 inference(nnf_transformation,[],[f29])). 5.88/1.33 tff(f29,plain,( 5.88/1.33 ! [X0 : set] : (empty_set = X0 <=> 0 = cardinality(X0))), 5.88/1.33 inference(rectify,[],[f2])). 5.88/1.33 tff(f2,axiom,( 5.88/1.33 ! [X3 : set] : (empty_set = X3 <=> cardinality(X3) = 0)), 5.88/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.88/1.33 tff(f2191,plain,( 5.88/1.33 ~spl17_13 | ~spl17_18 | spl17_119), 5.88/1.33 inference(avatar_contradiction_clause,[],[f2190])). 5.88/1.33 tff(f2190,plain,( 5.88/1.33 $false | (~spl17_13 | ~spl17_18 | spl17_119)), 5.88/1.33 inference(subsumption_resolution,[],[f2188,f193])). 5.88/1.33 tff(f193,plain,( 5.88/1.33 member(sK3,sF8) | ~spl17_18), 5.88/1.33 inference(avatar_component_clause,[],[f192])). 5.88/1.33 tff(f192,plain,( 5.88/1.33 spl17_18 <=> member(sK3,sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_18])])). 5.88/1.33 tff(f2188,plain,( 5.88/1.33 ~member(sK3,sF8) | (~spl17_13 | spl17_119)), 5.88/1.33 inference(resolution,[],[f2186,f254])). 5.88/1.33 tff(f254,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF9) | ~member(X0,sF8)) ) | ~spl17_13), 5.88/1.33 inference(superposition,[],[f102,f171])). 5.88/1.33 tff(f171,plain,( 5.88/1.33 union(sK5,sF8) = sF9 | ~spl17_13), 5.88/1.33 inference(avatar_component_clause,[],[f170])). 5.88/1.33 tff(f170,plain,( 5.88/1.33 spl17_13 <=> union(sK5,sF8) = sF9), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_13])])). 5.88/1.33 tff(f102,plain,( 5.88/1.33 ( ! [X2 : set,X0 : set,X1 : element] : (member(X1,union(X0,X2)) | ~member(X1,X2)) )), 5.88/1.33 inference(cnf_transformation,[],[f71])). 5.88/1.33 tff(f71,plain,( 5.88/1.33 ! [X0 : set,X1 : element,X2 : set] : ((member(X1,union(X0,X2)) | (~member(X1,X2) & ~member(X1,X0))) & (member(X1,X2) | member(X1,X0) | ~member(X1,union(X0,X2))))), 5.88/1.33 inference(rectify,[],[f70])). 5.88/1.33 tff(f70,plain,( 5.88/1.33 ! [X0 : set,X2 : element,X1 : set] : ((member(X2,union(X0,X1)) | (~member(X2,X1) & ~member(X2,X0))) & (member(X2,X1) | member(X2,X0) | ~member(X2,union(X0,X1))))), 5.88/1.33 inference(flattening,[],[f69])). 5.88/1.33 tff(f69,plain,( 5.88/1.33 ! [X0 : set,X2 : element,X1 : set] : ((member(X2,union(X0,X1)) | (~member(X2,X1) & ~member(X2,X0))) & ((member(X2,X1) | member(X2,X0)) | ~member(X2,union(X0,X1))))), 5.88/1.33 inference(nnf_transformation,[],[f39])). 5.88/1.33 tff(f39,plain,( 5.88/1.33 ! [X0 : set,X2 : element,X1 : set] : (member(X2,union(X0,X1)) <=> (member(X2,X1) | member(X2,X0)))), 5.88/1.33 inference(rectify,[],[f6])). 5.88/1.33 tff(f6,axiom,( 5.88/1.33 ! [X1 : set,X0 : set,X8 : element] : ((member(X8,X1) | member(X8,X0)) <=> member(X8,union(X1,X0)))), 5.88/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.88/1.33 tff(f2186,plain,( 5.88/1.33 ~member(sK3,sF9) | spl17_119), 5.88/1.33 inference(avatar_component_clause,[],[f2013])). 5.88/1.33 tff(f2013,plain,( 5.88/1.33 spl17_119 <=> member(sK3,sF9)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_119])])). 5.88/1.33 tff(f2187,plain,( 5.88/1.33 ~spl17_119 | ~spl17_14 | spl17_127), 5.88/1.33 inference(avatar_split_clause,[],[f2183,f2180,f174,f2013])). 5.88/1.33 tff(f174,plain,( 5.88/1.33 spl17_14 <=> union(sF9,sF10) = sF11), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_14])])). 5.88/1.33 tff(f2180,plain,( 5.88/1.33 spl17_127 <=> member(sK3,sF11)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_127])])). 5.88/1.33 tff(f2183,plain,( 5.88/1.33 ~member(sK3,sF9) | (~spl17_14 | spl17_127)), 5.88/1.33 inference(resolution,[],[f2181,f244])). 5.88/1.33 tff(f244,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF11) | ~member(X0,sF9)) ) | ~spl17_14), 5.88/1.33 inference(superposition,[],[f101,f175])). 5.88/1.33 tff(f175,plain,( 5.88/1.33 union(sF9,sF10) = sF11 | ~spl17_14), 5.88/1.33 inference(avatar_component_clause,[],[f174])). 5.88/1.33 tff(f101,plain,( 5.88/1.33 ( ! [X2 : set,X0 : set,X1 : element] : (member(X1,union(X0,X2)) | ~member(X1,X0)) )), 5.88/1.33 inference(cnf_transformation,[],[f71])). 5.88/1.33 tff(f2181,plain,( 5.88/1.33 ~member(sK3,sF11) | spl17_127), 5.88/1.33 inference(avatar_component_clause,[],[f2180])). 5.88/1.33 tff(f2182,plain,( 5.88/1.33 ~spl17_127 | spl17_119 | ~spl17_14 | spl17_117), 5.88/1.33 inference(avatar_split_clause,[],[f2006,f1981,f174,f2013,f2180])). 5.88/1.33 tff(f1981,plain,( 5.88/1.33 spl17_117 <=> member(sK3,sF10)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_117])])). 5.88/1.33 tff(f2006,plain,( 5.88/1.33 ~member(sK3,sF11) | member(sK3,sF9) | (~spl17_14 | spl17_117)), 5.88/1.33 inference(resolution,[],[f283,f1982])). 5.88/1.33 tff(f1982,plain,( 5.88/1.33 ~member(sK3,sF10) | spl17_117), 5.88/1.33 inference(avatar_component_clause,[],[f1981])). 5.88/1.33 tff(f283,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF10) | member(X0,sF9) | ~member(X0,sF11)) ) | ~spl17_14), 5.88/1.33 inference(superposition,[],[f100,f175])). 5.88/1.33 tff(f100,plain,( 5.88/1.33 ( ! [X2 : set,X0 : set,X1 : element] : (~member(X1,union(X0,X2)) | member(X1,X0) | member(X1,X2)) )), 5.88/1.33 inference(cnf_transformation,[],[f71])). 5.88/1.33 tff(f2178,plain,( 5.88/1.33 ~spl17_126 | ~spl17_7 | ~spl17_13 | ~spl17_58 | spl17_84 | ~spl17_85), 5.88/1.33 inference(avatar_split_clause,[],[f2161,f1114,f1108,f792,f170,f145,f2176])). 5.88/1.33 tff(f2176,plain,( 5.88/1.33 spl17_126 <=> cardinality(sF11) = $sum(2,sF6)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_126])])). 5.88/1.33 tff(f145,plain,( 5.88/1.33 spl17_7 <=> cardinality(sK5) = sF6), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_7])])). 5.88/1.33 tff(f792,plain,( 5.88/1.33 spl17_58 <=> empty_set = intersection(sK5,sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_58])])). 5.88/1.33 tff(f1108,plain,( 5.88/1.33 spl17_84 <=> cardinality(sF11) = $sum(cardinality(sF9),1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_84])])). 5.88/1.33 tff(f1114,plain,( 5.88/1.33 spl17_85 <=> 1 = cardinality(sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_85])])). 5.88/1.33 tff(f2161,plain,( 5.88/1.33 cardinality(sF11) != $sum(2,sF6) | (~spl17_7 | ~spl17_13 | ~spl17_58 | spl17_84 | ~spl17_85)), 5.88/1.33 inference(evaluation,[],[f2158])). 5.88/1.33 tff(f2158,plain,( 5.88/1.33 cardinality(sF11) != $sum($sum(sF6,1),1) | (~spl17_7 | ~spl17_13 | ~spl17_58 | spl17_84 | ~spl17_85)), 5.88/1.33 inference(backward_demodulation,[],[f1109,f2157])). 5.88/1.33 tff(f2157,plain,( 5.88/1.33 cardinality(sF9) = $sum(sF6,1) | (~spl17_7 | ~spl17_13 | ~spl17_58 | ~spl17_85)), 5.88/1.33 inference(subsumption_resolution,[],[f2086,f793])). 5.88/1.33 tff(f793,plain,( 5.88/1.33 empty_set = intersection(sK5,sF8) | ~spl17_58), 5.88/1.33 inference(avatar_component_clause,[],[f792])). 5.88/1.33 tff(f2086,plain,( 5.88/1.33 empty_set != intersection(sK5,sF8) | cardinality(sF9) = $sum(sF6,1) | (~spl17_7 | ~spl17_13 | ~spl17_85)), 5.88/1.33 inference(forward_demodulation,[],[f2085,f146])). 5.88/1.33 tff(f146,plain,( 5.88/1.33 cardinality(sK5) = sF6 | ~spl17_7), 5.88/1.33 inference(avatar_component_clause,[],[f145])). 5.88/1.33 tff(f2085,plain,( 5.88/1.33 cardinality(sF9) = $sum(cardinality(sK5),1) | empty_set != intersection(sK5,sF8) | (~spl17_13 | ~spl17_85)), 5.88/1.33 inference(forward_demodulation,[],[f1832,f1115])). 5.88/1.33 tff(f1115,plain,( 5.88/1.33 1 = cardinality(sF8) | ~spl17_85), 5.88/1.33 inference(avatar_component_clause,[],[f1114])). 5.88/1.33 tff(f1832,plain,( 5.88/1.33 empty_set != intersection(sK5,sF8) | $sum(cardinality(sK5),cardinality(sF8)) = cardinality(sF9) | ~spl17_13), 5.88/1.33 inference(superposition,[],[f99,f171])). 5.88/1.33 tff(f99,plain,( 5.88/1.33 ( ! [X0 : set,X1 : set] : (cardinality(union(X1,X0)) = $sum(cardinality(X1),cardinality(X0)) | empty_set != intersection(X1,X0)) )), 5.88/1.33 inference(cnf_transformation,[],[f68])). 5.88/1.33 tff(f68,plain,( 5.88/1.33 ! [X0 : set,X1 : set] : ((cardinality(union(X1,X0)) = $sum(cardinality(X1),cardinality(X0)) | empty_set != intersection(X1,X0)) & (empty_set = intersection(X1,X0) | cardinality(union(X1,X0)) != $sum(cardinality(X1),cardinality(X0))))), 5.88/1.33 inference(rectify,[],[f67])). 5.88/1.33 tff(f67,plain,( 5.88/1.33 ! [X1 : set,X0 : set] : ((cardinality(union(X0,X1)) = $sum(cardinality(X0),cardinality(X1)) | empty_set != intersection(X0,X1)) & (empty_set = intersection(X0,X1) | cardinality(union(X0,X1)) != $sum(cardinality(X0),cardinality(X1))))), 5.88/1.33 inference(nnf_transformation,[],[f34])). 5.88/1.33 tff(f34,plain,( 5.88/1.33 ! [X1 : set,X0 : set] : (cardinality(union(X0,X1)) = $sum(cardinality(X0),cardinality(X1)) <=> empty_set = intersection(X0,X1))), 5.88/1.33 inference(rectify,[],[f9])). 5.88/1.33 tff(f9,axiom,( 5.88/1.33 ! [X1 : set,X0 : set] : (cardinality(union(X1,X0)) = $sum(cardinality(X1),cardinality(X0)) <=> empty_set = intersection(X1,X0))), 5.88/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.88/1.33 tff(f1109,plain,( 5.88/1.33 cardinality(sF11) != $sum(cardinality(sF9),1) | spl17_84), 5.88/1.33 inference(avatar_component_clause,[],[f1108])). 5.88/1.33 tff(f2160,plain,( 5.88/1.33 spl17_88 | ~spl17_7 | ~spl17_13 | ~spl17_58 | ~spl17_85), 5.88/1.33 inference(avatar_split_clause,[],[f2157,f1114,f792,f170,f145,f1133])). 5.88/1.33 tff(f2143,plain,( 5.88/1.33 ~spl17_125 | ~spl17_16 | ~spl17_49 | spl17_83 | ~spl17_85), 5.88/1.33 inference(avatar_split_clause,[],[f2112,f1114,f1101,f721,f182,f2141])). 5.88/1.33 tff(f182,plain,( 5.88/1.33 spl17_16 <=> union(sK1,sF8) = sF15), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_16])])). 5.88/1.33 tff(f721,plain,( 5.88/1.33 spl17_49 <=> empty_set = intersection(sK1,sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_49])])). 5.88/1.33 tff(f1101,plain,( 5.88/1.33 spl17_83 <=> cardinality(sF16) = $sum(cardinality(sF15),1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_83])])). 5.88/1.33 tff(f2112,plain,( 5.88/1.33 cardinality(sF16) != $sum(2,cardinality(sK1)) | (~spl17_16 | ~spl17_49 | spl17_83 | ~spl17_85)), 5.88/1.33 inference(evaluation,[],[f2109])). 5.88/1.33 tff(f2109,plain,( 5.88/1.33 cardinality(sF16) != $sum($sum(cardinality(sK1),1),1) | (~spl17_16 | ~spl17_49 | spl17_83 | ~spl17_85)), 5.88/1.33 inference(backward_demodulation,[],[f1102,f2108])). 5.88/1.33 tff(f2108,plain,( 5.88/1.33 cardinality(sF15) = $sum(cardinality(sK1),1) | (~spl17_16 | ~spl17_49 | ~spl17_85)), 5.88/1.33 inference(subsumption_resolution,[],[f2084,f722])). 5.88/1.33 tff(f722,plain,( 5.88/1.33 empty_set = intersection(sK1,sF8) | ~spl17_49), 5.88/1.33 inference(avatar_component_clause,[],[f721])). 5.88/1.33 tff(f2084,plain,( 5.88/1.33 empty_set != intersection(sK1,sF8) | cardinality(sF15) = $sum(cardinality(sK1),1) | (~spl17_16 | ~spl17_85)), 5.88/1.33 inference(forward_demodulation,[],[f317,f1115])). 5.88/1.33 tff(f317,plain,( 5.88/1.33 empty_set != intersection(sK1,sF8) | $sum(cardinality(sK1),cardinality(sF8)) = cardinality(sF15) | ~spl17_16), 5.88/1.33 inference(superposition,[],[f99,f183])). 5.88/1.33 tff(f183,plain,( 5.88/1.33 union(sK1,sF8) = sF15 | ~spl17_16), 5.88/1.33 inference(avatar_component_clause,[],[f182])). 5.88/1.33 tff(f1102,plain,( 5.88/1.33 cardinality(sF16) != $sum(cardinality(sF15),1) | spl17_83), 5.88/1.33 inference(avatar_component_clause,[],[f1101])). 5.88/1.33 tff(f2111,plain,( 5.88/1.33 spl17_91 | ~spl17_16 | ~spl17_49 | ~spl17_85), 5.88/1.33 inference(avatar_split_clause,[],[f2108,f1114,f721,f182,f1149])). 5.88/1.33 tff(f2083,plain,( 5.88/1.33 spl17_2 | ~spl17_8 | spl17_49), 5.88/1.33 inference(avatar_contradiction_clause,[],[f2082])). 5.88/1.33 tff(f2082,plain,( 5.88/1.33 $false | (spl17_2 | ~spl17_8 | spl17_49)), 5.88/1.33 inference(subsumption_resolution,[],[f2064,f126])). 5.88/1.33 tff(f126,plain,( 5.88/1.33 ~member(sK3,sK1) | spl17_2), 5.88/1.33 inference(avatar_component_clause,[],[f125])). 5.88/1.33 tff(f125,plain,( 5.88/1.33 spl17_2 <=> member(sK3,sK1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_2])])). 5.88/1.33 tff(f2064,plain,( 5.88/1.33 member(sK3,sK1) | (~spl17_8 | spl17_49)), 5.88/1.33 inference(trivial_inequality_removal,[],[f2062])). 5.88/1.33 tff(f2062,plain,( 5.88/1.33 empty_set != empty_set | member(sK3,sK1) | (~spl17_8 | spl17_49)), 5.88/1.33 inference(superposition,[],[f810,f1493])). 5.88/1.33 tff(f1493,plain,( 5.88/1.33 ( ! [X0 : set] : (empty_set = intersection(X0,sF8) | member(sK3,X0)) ) | ~spl17_8), 5.88/1.33 inference(duplicate_literal_removal,[],[f1489])). 5.88/1.33 tff(f1489,plain,( 5.88/1.33 ( ! [X0 : set] : (empty_set = intersection(X0,sF8) | empty_set = intersection(X0,sF8) | member(sK3,X0)) ) | ~spl17_8), 5.88/1.33 inference(superposition,[],[f235,f409])). 5.88/1.33 tff(f409,plain,( 5.88/1.33 ( ! [X0 : set] : (sK3 = sK0(intersection(X0,sF8)) | empty_set = intersection(X0,sF8)) ) | ~spl17_8), 5.88/1.33 inference(resolution,[],[f218,f215])). 5.88/1.33 tff(f215,plain,( 5.88/1.33 ( ! [X0 : element] : (~member(X0,sF8) | sK3 = X0) ) | ~spl17_8), 5.88/1.33 inference(superposition,[],[f93,f150])). 5.88/1.33 tff(f150,plain,( 5.88/1.33 singleton(sK3) = sF8 | ~spl17_8), 5.88/1.33 inference(avatar_component_clause,[],[f149])). 5.88/1.33 tff(f149,plain,( 5.88/1.33 spl17_8 <=> singleton(sK3) = sF8), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_8])])). 5.88/1.33 tff(f810,plain,( 5.88/1.33 empty_set != intersection(sK1,sF8) | spl17_49), 5.88/1.33 inference(avatar_component_clause,[],[f721])). 5.88/1.33 tff(f2081,plain,( 5.88/1.33 ~spl17_8 | spl17_29 | spl17_58), 5.88/1.33 inference(avatar_contradiction_clause,[],[f2080])). 5.88/1.33 tff(f2080,plain,( 5.88/1.33 $false | (~spl17_8 | spl17_29 | spl17_58)), 5.88/1.33 inference(subsumption_resolution,[],[f2065,f299])). 5.88/1.33 tff(f299,plain,( 5.88/1.33 ~member(sK3,sK5) | spl17_29), 5.88/1.33 inference(avatar_component_clause,[],[f298])). 5.88/1.33 tff(f298,plain,( 5.88/1.33 spl17_29 <=> member(sK3,sK5)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_29])])). 5.88/1.33 tff(f2065,plain,( 5.88/1.33 member(sK3,sK5) | (~spl17_8 | spl17_58)), 5.88/1.33 inference(trivial_inequality_removal,[],[f2063])). 5.88/1.33 tff(f2063,plain,( 5.88/1.33 empty_set != empty_set | member(sK3,sK5) | (~spl17_8 | spl17_58)), 5.88/1.33 inference(superposition,[],[f847,f1493])). 5.88/1.33 tff(f847,plain,( 5.88/1.33 empty_set != intersection(sK5,sF8) | spl17_58), 5.88/1.33 inference(avatar_component_clause,[],[f792])). 5.88/1.33 tff(f2050,plain,( 5.88/1.33 ~spl17_124 | ~spl17_13 | spl17_87 | spl17_92), 5.88/1.33 inference(avatar_split_clause,[],[f1996,f1174,f1129,f170,f2048])). 5.88/1.33 tff(f2048,plain,( 5.88/1.33 spl17_124 <=> member(sK0(complement(sF16)),sF9)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_124])])). 5.88/1.33 tff(f1129,plain,( 5.88/1.33 spl17_87 <=> member(sK0(complement(sF16)),sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_87])])). 5.88/1.33 tff(f1174,plain,( 5.88/1.33 spl17_92 <=> member(sK0(complement(sF16)),sK5)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_92])])). 5.88/1.33 tff(f1996,plain,( 5.88/1.33 ~member(sK0(complement(sF16)),sF9) | (~spl17_13 | spl17_87 | spl17_92)), 5.88/1.33 inference(subsumption_resolution,[],[f1989,f1175])). 5.88/1.33 tff(f1175,plain,( 5.88/1.33 ~member(sK0(complement(sF16)),sK5) | spl17_92), 5.88/1.33 inference(avatar_component_clause,[],[f1174])). 5.88/1.33 tff(f1989,plain,( 5.88/1.33 ~member(sK0(complement(sF16)),sF9) | member(sK0(complement(sF16)),sK5) | (~spl17_13 | spl17_87)), 5.88/1.33 inference(resolution,[],[f282,f1130])). 5.88/1.33 tff(f1130,plain,( 5.88/1.33 ~member(sK0(complement(sF16)),sF8) | spl17_87), 5.88/1.33 inference(avatar_component_clause,[],[f1129])). 5.88/1.33 tff(f282,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF8) | ~member(X0,sF9) | member(X0,sK5)) ) | ~spl17_13), 5.88/1.33 inference(superposition,[],[f100,f171])). 5.88/1.33 tff(f2043,plain,( 5.88/1.33 ~spl17_123 | ~spl17_14 | spl17_52 | spl17_63), 5.88/1.33 inference(avatar_split_clause,[],[f2007,f821,f743,f174,f2041])). 5.88/1.33 tff(f2041,plain,( 5.88/1.33 spl17_123 <=> member(sK0(complement(sF11)),sF11)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_123])])). 5.88/1.33 tff(f743,plain,( 5.88/1.33 spl17_52 <=> member(sK0(complement(sF11)),sF10)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_52])])). 5.88/1.33 tff(f821,plain,( 5.88/1.33 spl17_63 <=> member(sK0(complement(sF11)),sF9)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_63])])). 5.88/1.33 tff(f2007,plain,( 5.88/1.33 ~member(sK0(complement(sF11)),sF11) | (~spl17_14 | spl17_52 | spl17_63)), 5.88/1.33 inference(subsumption_resolution,[],[f1998,f822])). 5.88/1.33 tff(f822,plain,( 5.88/1.33 ~member(sK0(complement(sF11)),sF9) | spl17_63), 5.88/1.33 inference(avatar_component_clause,[],[f821])). 5.88/1.33 tff(f1998,plain,( 5.88/1.33 member(sK0(complement(sF11)),sF9) | ~member(sK0(complement(sF11)),sF11) | (~spl17_14 | spl17_52)), 5.88/1.33 inference(resolution,[],[f283,f744])). 5.88/1.33 tff(f744,plain,( 5.88/1.33 ~member(sK0(complement(sF11)),sF10) | spl17_52), 5.88/1.33 inference(avatar_component_clause,[],[f743])). 5.88/1.33 tff(f2037,plain,( 5.88/1.33 ~spl17_122 | ~spl17_13 | spl17_46 | spl17_48), 5.88/1.33 inference(avatar_split_clause,[],[f1994,f717,f708,f170,f2035])). 5.88/1.33 tff(f2035,plain,( 5.88/1.33 spl17_122 <=> member(sK0(complement(sF9)),sF9)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_122])])). 5.88/1.33 tff(f708,plain,( 5.88/1.33 spl17_46 <=> member(sK0(complement(sF9)),sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_46])])). 5.88/1.33 tff(f717,plain,( 5.88/1.33 spl17_48 <=> member(sK0(complement(sF9)),sK5)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_48])])). 5.88/1.33 tff(f1994,plain,( 5.88/1.33 ~member(sK0(complement(sF9)),sF9) | (~spl17_13 | spl17_46 | spl17_48)), 5.88/1.33 inference(subsumption_resolution,[],[f1985,f718])). 5.88/1.33 tff(f718,plain,( 5.88/1.33 ~member(sK0(complement(sF9)),sK5) | spl17_48), 5.88/1.33 inference(avatar_component_clause,[],[f717])). 5.88/1.33 tff(f1985,plain,( 5.88/1.33 member(sK0(complement(sF9)),sK5) | ~member(sK0(complement(sF9)),sF9) | (~spl17_13 | spl17_46)), 5.88/1.33 inference(resolution,[],[f282,f709])). 5.88/1.33 tff(f709,plain,( 5.88/1.33 ~member(sK0(complement(sF9)),sF8) | spl17_46), 5.88/1.33 inference(avatar_component_clause,[],[f708])). 5.88/1.33 tff(f2030,plain,( 5.88/1.33 ~spl17_121 | ~spl17_16 | spl17_72 | spl17_77), 5.88/1.33 inference(avatar_split_clause,[],[f1978,f963,f893,f182,f2028])). 5.88/1.33 tff(f2028,plain,( 5.88/1.33 spl17_121 <=> member(sK0(complement(sF15)),sF15)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_121])])). 5.88/1.33 tff(f893,plain,( 5.88/1.33 spl17_72 <=> member(sK0(complement(sF15)),sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_72])])). 5.88/1.33 tff(f963,plain,( 5.88/1.33 spl17_77 <=> member(sK0(complement(sF15)),sK1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_77])])). 5.88/1.33 tff(f1978,plain,( 5.88/1.33 ~member(sK0(complement(sF15)),sF15) | (~spl17_16 | spl17_72 | spl17_77)), 5.88/1.33 inference(subsumption_resolution,[],[f1972,f964])). 5.88/1.33 tff(f964,plain,( 5.88/1.33 ~member(sK0(complement(sF15)),sK1) | spl17_77), 5.88/1.33 inference(avatar_component_clause,[],[f963])). 5.88/1.33 tff(f1972,plain,( 5.88/1.33 ~member(sK0(complement(sF15)),sF15) | member(sK0(complement(sF15)),sK1) | (~spl17_16 | spl17_72)), 5.88/1.33 inference(resolution,[],[f281,f894])). 5.88/1.33 tff(f894,plain,( 5.88/1.33 ~member(sK0(complement(sF15)),sF8) | spl17_72), 5.88/1.33 inference(avatar_component_clause,[],[f893])). 5.88/1.33 tff(f281,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF8) | member(X0,sK1) | ~member(X0,sF15)) ) | ~spl17_16), 5.88/1.33 inference(superposition,[],[f100,f183])). 5.88/1.33 tff(f2024,plain,( 5.88/1.33 ~spl17_120 | ~spl17_13 | spl17_72 | spl17_78), 5.88/1.33 inference(avatar_split_clause,[],[f1995,f968,f893,f170,f2022])). 5.88/1.33 tff(f2022,plain,( 5.88/1.33 spl17_120 <=> member(sK0(complement(sF15)),sF9)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_120])])). 5.88/1.33 tff(f968,plain,( 5.88/1.33 spl17_78 <=> member(sK0(complement(sF15)),sK5)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_78])])). 5.88/1.33 tff(f1995,plain,( 5.88/1.33 ~member(sK0(complement(sF15)),sF9) | (~spl17_13 | spl17_72 | spl17_78)), 5.88/1.33 inference(subsumption_resolution,[],[f1988,f969])). 5.88/1.33 tff(f969,plain,( 5.88/1.33 ~member(sK0(complement(sF15)),sK5) | spl17_78), 5.88/1.33 inference(avatar_component_clause,[],[f968])). 5.88/1.33 tff(f1988,plain,( 5.88/1.33 ~member(sK0(complement(sF15)),sF9) | member(sK0(complement(sF15)),sK5) | (~spl17_13 | spl17_72)), 5.88/1.33 inference(resolution,[],[f282,f894])). 5.88/1.33 tff(f2015,plain,( 5.88/1.33 spl17_112 | spl17_119 | ~spl17_116), 5.88/1.33 inference(avatar_split_clause,[],[f1979,f1965,f2013,f1787])). 5.88/1.33 tff(f1965,plain,( 5.88/1.33 spl17_116 <=> sK3 = sK0(sF9)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_116])])). 5.88/1.33 tff(f1979,plain,( 5.88/1.33 empty_set = sF9 | member(sK3,sF9) | ~spl17_116), 5.88/1.33 inference(superposition,[],[f72,f1966])). 5.88/1.33 tff(f1966,plain,( 5.88/1.33 sK3 = sK0(sF9) | ~spl17_116), 5.88/1.33 inference(avatar_component_clause,[],[f1965])). 5.88/1.33 tff(f2011,plain,( 5.88/1.33 spl17_118 | spl17_62 | ~spl17_115), 5.88/1.33 inference(avatar_split_clause,[],[f1962,f1959,f816,f2009])). 5.88/1.33 tff(f2009,plain,( 5.88/1.33 spl17_118 <=> member(sK3,sF15)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_118])])). 5.88/1.33 tff(f816,plain,( 5.88/1.33 spl17_62 <=> empty_set = sF15), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_62])])). 5.88/1.33 tff(f1959,plain,( 5.88/1.33 spl17_115 <=> sK3 = sK0(sF15)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_115])])). 5.88/1.33 tff(f1962,plain,( 5.88/1.33 empty_set = sF15 | member(sK3,sF15) | ~spl17_115), 5.88/1.33 inference(superposition,[],[f72,f1960])). 5.88/1.33 tff(f1960,plain,( 5.88/1.33 sK3 = sK0(sF15) | ~spl17_115), 5.88/1.33 inference(avatar_component_clause,[],[f1959])). 5.88/1.33 tff(f1983,plain,( 5.88/1.33 ~spl17_117 | ~spl17_8 | spl17_61 | ~spl17_111), 5.88/1.33 inference(avatar_split_clause,[],[f1956,f1783,f813,f149,f1981])). 5.88/1.33 tff(f813,plain,( 5.88/1.33 spl17_61 <=> member(sK0(sF15),sF10)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_61])])). 5.88/1.33 tff(f1783,plain,( 5.88/1.33 spl17_111 <=> member(sK0(sF15),sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_111])])). 5.88/1.33 tff(f1956,plain,( 5.88/1.33 ~member(sK3,sF10) | (~spl17_8 | spl17_61 | ~spl17_111)), 5.88/1.33 inference(backward_demodulation,[],[f814,f1895])). 5.88/1.33 tff(f1895,plain,( 5.88/1.33 sK3 = sK0(sF15) | (~spl17_8 | ~spl17_111)), 5.88/1.33 inference(resolution,[],[f1784,f215])). 5.88/1.33 tff(f1784,plain,( 5.88/1.33 member(sK0(sF15),sF8) | ~spl17_111), 5.88/1.33 inference(avatar_component_clause,[],[f1783])). 5.88/1.33 tff(f814,plain,( 5.88/1.33 ~member(sK0(sF15),sF10) | spl17_61), 5.88/1.33 inference(avatar_component_clause,[],[f813])). 5.88/1.33 tff(f1967,plain,( 5.88/1.33 spl17_116 | ~spl17_8 | ~spl17_114), 5.88/1.33 inference(avatar_split_clause,[],[f1900,f1793,f149,f1965])). 5.88/1.33 tff(f1793,plain,( 5.88/1.33 spl17_114 <=> member(sK0(sF9),sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_114])])). 5.88/1.33 tff(f1900,plain,( 5.88/1.33 sK3 = sK0(sF9) | (~spl17_8 | ~spl17_114)), 5.88/1.33 inference(resolution,[],[f1794,f215])). 5.88/1.33 tff(f1794,plain,( 5.88/1.33 member(sK0(sF9),sF8) | ~spl17_114), 5.88/1.33 inference(avatar_component_clause,[],[f1793])). 5.88/1.33 tff(f1961,plain,( 5.88/1.33 spl17_115 | ~spl17_8 | ~spl17_111), 5.88/1.33 inference(avatar_split_clause,[],[f1895,f1783,f149,f1959])). 5.88/1.33 tff(f1874,plain,( 5.88/1.33 spl17_55 | ~spl17_62), 5.88/1.33 inference(avatar_contradiction_clause,[],[f1873])). 5.88/1.33 tff(f1873,plain,( 5.88/1.33 $false | (spl17_55 | ~spl17_62)), 5.88/1.33 inference(subsumption_resolution,[],[f1863,f412])). 5.88/1.33 tff(f412,plain,( 5.88/1.33 ( ! [X0 : set] : (empty_set = intersection(empty_set,X0)) )), 5.88/1.33 inference(resolution,[],[f235,f103])). 5.88/1.33 tff(f103,plain,( 5.88/1.33 ( ! [X1 : element] : (~member(X1,empty_set)) )), 5.88/1.33 inference(equality_resolution,[],[f73])). 5.88/1.33 tff(f73,plain,( 5.88/1.33 ( ! [X0 : set,X1 : element] : (~member(X1,X0) | empty_set != X0) )), 5.88/1.33 inference(cnf_transformation,[],[f47])). 5.88/1.33 tff(f1863,plain,( 5.88/1.33 empty_set != intersection(empty_set,sF10) | (spl17_55 | ~spl17_62)), 5.88/1.33 inference(backward_demodulation,[],[f908,f817])). 5.88/1.33 tff(f817,plain,( 5.88/1.33 empty_set = sF15 | ~spl17_62), 5.88/1.33 inference(avatar_component_clause,[],[f816])). 5.88/1.33 tff(f1822,plain,( 5.88/1.33 spl17_54 | ~spl17_112), 5.88/1.33 inference(avatar_contradiction_clause,[],[f1821])). 5.88/1.33 tff(f1821,plain,( 5.88/1.33 $false | (spl17_54 | ~spl17_112)), 5.88/1.33 inference(subsumption_resolution,[],[f1813,f412])). 5.88/1.33 tff(f1813,plain,( 5.88/1.33 empty_set != intersection(empty_set,sF10) | (spl17_54 | ~spl17_112)), 5.88/1.33 inference(backward_demodulation,[],[f827,f1788])). 5.88/1.33 tff(f1788,plain,( 5.88/1.33 empty_set = sF9 | ~spl17_112), 5.88/1.33 inference(avatar_component_clause,[],[f1787])). 5.88/1.33 tff(f1795,plain,( 5.88/1.33 spl17_112 | spl17_113 | spl17_114 | ~spl17_13), 5.88/1.33 inference(avatar_split_clause,[],[f994,f170,f1793,f1790,f1787])). 5.88/1.33 tff(f1790,plain,( 5.88/1.33 spl17_113 <=> member(sK0(sF9),sK5)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_113])])). 5.88/1.33 tff(f994,plain,( 5.88/1.33 empty_set = sF9 | member(sK0(sF9),sF8) | member(sK0(sF9),sK5) | ~spl17_13), 5.88/1.33 inference(superposition,[],[f280,f171])). 5.88/1.33 tff(f280,plain,( 5.88/1.33 ( ! [X0 : set,X1 : set] : (member(sK0(union(X0,X1)),X1) | empty_set = union(X0,X1) | member(sK0(union(X0,X1)),X0)) )), 5.88/1.33 inference(resolution,[],[f100,f72])). 5.88/1.33 tff(f1785,plain,( 5.88/1.33 spl17_110 | spl17_111 | spl17_62 | ~spl17_16), 5.88/1.33 inference(avatar_split_clause,[],[f993,f182,f816,f1783,f1780])). 5.88/1.33 tff(f1780,plain,( 5.88/1.33 spl17_110 <=> member(sK0(sF15),sK1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_110])])). 5.88/1.33 tff(f993,plain,( 5.88/1.33 empty_set = sF15 | member(sK0(sF15),sK1) | member(sK0(sF15),sF8) | ~spl17_16), 5.88/1.33 inference(superposition,[],[f280,f183])). 5.88/1.33 tff(f1778,plain,( 5.88/1.33 spl17_109 | ~spl17_17), 5.88/1.33 inference(avatar_split_clause,[],[f1739,f186,f1776])). 5.88/1.33 tff(f1776,plain,( 5.88/1.33 spl17_109 <=> empty_set = difference(sF15,sF16)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_109])])). 5.88/1.33 tff(f186,plain,( 5.88/1.33 spl17_17 <=> union(sF15,sF10) = sF16), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_17])])). 5.88/1.33 tff(f1739,plain,( 5.88/1.33 empty_set = difference(sF15,sF16) | ~spl17_17), 5.88/1.33 inference(duplicate_literal_removal,[],[f1732])). 5.88/1.33 tff(f1732,plain,( 5.88/1.33 empty_set = difference(sF15,sF16) | empty_set = difference(sF15,sF16) | ~spl17_17), 5.88/1.33 inference(resolution,[],[f460,f236])). 5.88/1.33 tff(f236,plain,( 5.88/1.33 ( ! [X0 : set,X1 : set] : (member(sK0(difference(X0,X1)),X0) | empty_set = difference(X0,X1)) )), 5.88/1.33 inference(resolution,[],[f90,f72])). 5.88/1.33 tff(f90,plain,( 5.88/1.33 ( ! [X2 : set,X0 : element,X1 : set] : (~member(X0,difference(X1,X2)) | member(X0,X1)) )), 5.88/1.33 inference(cnf_transformation,[],[f61])). 5.88/1.33 tff(f61,plain,( 5.88/1.33 ! [X0 : element,X1 : set,X2 : set] : ((member(X0,difference(X1,X2)) | member(X0,X2) | ~member(X0,X1)) & ((~member(X0,X2) & member(X0,X1)) | ~member(X0,difference(X1,X2))))), 5.88/1.33 inference(rectify,[],[f60])). 5.88/1.33 tff(f60,plain,( 5.88/1.33 ! [X1 : element,X0 : set,X2 : set] : ((member(X1,difference(X0,X2)) | member(X1,X2) | ~member(X1,X0)) & ((~member(X1,X2) & member(X1,X0)) | ~member(X1,difference(X0,X2))))), 5.88/1.33 inference(flattening,[],[f59])). 5.88/1.33 tff(f59,plain,( 5.88/1.33 ! [X1 : element,X0 : set,X2 : set] : ((member(X1,difference(X0,X2)) | (member(X1,X2) | ~member(X1,X0))) & ((~member(X1,X2) & member(X1,X0)) | ~member(X1,difference(X0,X2))))), 5.88/1.33 inference(nnf_transformation,[],[f38])). 5.88/1.33 tff(f38,plain,( 5.88/1.33 ! [X1 : element,X0 : set,X2 : set] : (member(X1,difference(X0,X2)) <=> (~member(X1,X2) & member(X1,X0)))), 5.88/1.33 inference(rectify,[],[f1])). 5.88/1.33 tff(f1,axiom,( 5.88/1.33 ! [X2 : set,X0 : element,X1 : set] : (member(X0,difference(X2,X1)) <=> (~member(X0,X1) & member(X0,X2)))), 5.88/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.88/1.33 tff(f460,plain,( 5.88/1.33 ( ! [X0 : set] : (~member(sK0(difference(X0,sF16)),sF15) | empty_set = difference(X0,sF16)) ) | ~spl17_17), 5.88/1.33 inference(resolution,[],[f237,f246])). 5.88/1.33 tff(f246,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF16) | ~member(X0,sF15)) ) | ~spl17_17), 5.88/1.33 inference(superposition,[],[f101,f187])). 5.88/1.33 tff(f187,plain,( 5.88/1.33 union(sF15,sF10) = sF16 | ~spl17_17), 5.88/1.33 inference(avatar_component_clause,[],[f186])). 5.88/1.33 tff(f237,plain,( 5.88/1.33 ( ! [X0 : set,X1 : set] : (~member(sK0(difference(X0,X1)),X1) | empty_set = difference(X0,X1)) )), 5.88/1.33 inference(resolution,[],[f91,f72])). 5.88/1.33 tff(f91,plain,( 5.88/1.33 ( ! [X2 : set,X0 : element,X1 : set] : (~member(X0,difference(X1,X2)) | ~member(X0,X2)) )), 5.88/1.33 inference(cnf_transformation,[],[f61])). 5.88/1.33 tff(f1768,plain,( 5.88/1.33 spl17_108 | ~spl17_17), 5.88/1.33 inference(avatar_split_clause,[],[f1722,f186,f1766])). 5.88/1.33 tff(f1766,plain,( 5.88/1.33 spl17_108 <=> empty_set = difference(sF10,sF16)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_108])])). 5.88/1.33 tff(f1722,plain,( 5.88/1.33 empty_set = difference(sF10,sF16) | ~spl17_17), 5.88/1.33 inference(duplicate_literal_removal,[],[f1714])). 5.88/1.33 tff(f1714,plain,( 5.88/1.33 empty_set = difference(sF10,sF16) | empty_set = difference(sF10,sF16) | ~spl17_17), 5.88/1.33 inference(resolution,[],[f459,f236])). 5.88/1.33 tff(f459,plain,( 5.88/1.33 ( ! [X0 : set] : (~member(sK0(difference(X0,sF16)),sF10) | empty_set = difference(X0,sF16)) ) | ~spl17_17), 5.88/1.33 inference(resolution,[],[f237,f257])). 5.88/1.33 tff(f257,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF16) | ~member(X0,sF10)) ) | ~spl17_17), 5.88/1.33 inference(superposition,[],[f102,f187])). 5.88/1.33 tff(f1761,plain,( 5.88/1.33 spl17_107 | ~spl17_16), 5.88/1.33 inference(avatar_split_clause,[],[f1709,f182,f1759])). 5.88/1.33 tff(f1759,plain,( 5.88/1.33 spl17_107 <=> empty_set = difference(sK1,sF15)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_107])])). 5.88/1.33 tff(f1709,plain,( 5.88/1.33 empty_set = difference(sK1,sF15) | ~spl17_16), 5.88/1.33 inference(duplicate_literal_removal,[],[f1700])). 5.88/1.33 tff(f1700,plain,( 5.88/1.33 empty_set = difference(sK1,sF15) | empty_set = difference(sK1,sF15) | ~spl17_16), 5.88/1.33 inference(resolution,[],[f458,f236])). 5.88/1.33 tff(f458,plain,( 5.88/1.33 ( ! [X0 : set] : (~member(sK0(difference(X0,sF15)),sK1) | empty_set = difference(X0,sF15)) ) | ~spl17_16), 5.88/1.33 inference(resolution,[],[f237,f242])). 5.88/1.33 tff(f242,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF15) | ~member(X0,sK1)) ) | ~spl17_16), 5.88/1.33 inference(superposition,[],[f101,f183])). 5.88/1.33 tff(f1754,plain,( 5.88/1.33 spl17_106 | ~spl17_16), 5.88/1.33 inference(avatar_split_clause,[],[f1694,f182,f1752])). 5.88/1.33 tff(f1752,plain,( 5.88/1.33 spl17_106 <=> empty_set = difference(sF8,sF15)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_106])])). 5.88/1.33 tff(f1694,plain,( 5.88/1.33 empty_set = difference(sF8,sF15) | ~spl17_16), 5.88/1.33 inference(duplicate_literal_removal,[],[f1685])). 5.88/1.33 tff(f1685,plain,( 5.88/1.33 empty_set = difference(sF8,sF15) | empty_set = difference(sF8,sF15) | ~spl17_16), 5.88/1.33 inference(resolution,[],[f457,f236])). 5.88/1.33 tff(f457,plain,( 5.88/1.33 ( ! [X0 : set] : (~member(sK0(difference(X0,sF15)),sF8) | empty_set = difference(X0,sF15)) ) | ~spl17_16), 5.88/1.33 inference(resolution,[],[f237,f253])). 5.88/1.33 tff(f253,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF15) | ~member(X0,sF8)) ) | ~spl17_16), 5.88/1.33 inference(superposition,[],[f102,f183])). 5.88/1.33 tff(f1750,plain,( 5.88/1.33 spl17_105 | ~spl17_15), 5.88/1.33 inference(avatar_split_clause,[],[f1684,f178,f1748])). 5.88/1.33 tff(f1748,plain,( 5.88/1.33 spl17_105 <=> empty_set = difference(sF11,sF13)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_105])])). 5.88/1.33 tff(f178,plain,( 5.88/1.33 spl17_15 <=> union(sF11,sF12) = sF13), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_15])])). 5.88/1.33 tff(f1684,plain,( 5.88/1.33 empty_set = difference(sF11,sF13) | ~spl17_15), 5.88/1.33 inference(duplicate_literal_removal,[],[f1674])). 5.88/1.33 tff(f1674,plain,( 5.88/1.33 empty_set = difference(sF11,sF13) | empty_set = difference(sF11,sF13) | ~spl17_15), 5.88/1.33 inference(resolution,[],[f455,f236])). 5.88/1.33 tff(f455,plain,( 5.88/1.33 ( ! [X0 : set] : (~member(sK0(difference(X0,sF13)),sF11) | empty_set = difference(X0,sF13)) ) | ~spl17_15), 5.88/1.33 inference(resolution,[],[f237,f245])). 5.88/1.33 tff(f245,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF13) | ~member(X0,sF11)) ) | ~spl17_15), 5.88/1.33 inference(superposition,[],[f101,f179])). 5.88/1.33 tff(f179,plain,( 5.88/1.33 union(sF11,sF12) = sF13 | ~spl17_15), 5.88/1.33 inference(avatar_component_clause,[],[f178])). 5.88/1.33 tff(f1746,plain,( 5.88/1.33 spl17_104 | ~spl17_15), 5.88/1.33 inference(avatar_split_clause,[],[f1670,f178,f1744])). 5.88/1.33 tff(f1744,plain,( 5.88/1.33 spl17_104 <=> empty_set = difference(sF12,sF13)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_104])])). 5.88/1.33 tff(f1670,plain,( 5.88/1.33 empty_set = difference(sF12,sF13) | ~spl17_15), 5.88/1.33 inference(duplicate_literal_removal,[],[f1664])). 5.88/1.33 tff(f1664,plain,( 5.88/1.33 empty_set = difference(sF12,sF13) | empty_set = difference(sF12,sF13) | ~spl17_15), 5.88/1.33 inference(resolution,[],[f454,f236])). 5.88/1.33 tff(f454,plain,( 5.88/1.33 ( ! [X0 : set] : (~member(sK0(difference(X0,sF13)),sF12) | empty_set = difference(X0,sF13)) ) | ~spl17_15), 5.88/1.33 inference(resolution,[],[f237,f256])). 5.88/1.33 tff(f256,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF13) | ~member(X0,sF12)) ) | ~spl17_15), 5.88/1.33 inference(superposition,[],[f102,f179])). 5.88/1.33 tff(f1731,plain,( 5.88/1.33 spl17_103 | ~spl17_14), 5.88/1.33 inference(avatar_split_clause,[],[f1661,f174,f1729])). 5.88/1.33 tff(f1729,plain,( 5.88/1.33 spl17_103 <=> empty_set = difference(sF9,sF11)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_103])])). 5.88/1.33 tff(f1661,plain,( 5.88/1.33 empty_set = difference(sF9,sF11) | ~spl17_14), 5.88/1.33 inference(duplicate_literal_removal,[],[f1653])). 5.88/1.33 tff(f1653,plain,( 5.88/1.33 empty_set = difference(sF9,sF11) | empty_set = difference(sF9,sF11) | ~spl17_14), 5.88/1.33 inference(resolution,[],[f452,f236])). 5.88/1.33 tff(f452,plain,( 5.88/1.33 ( ! [X0 : set] : (~member(sK0(difference(X0,sF11)),sF9) | empty_set = difference(X0,sF11)) ) | ~spl17_14), 5.88/1.33 inference(resolution,[],[f237,f244])). 5.88/1.33 tff(f1727,plain,( 5.88/1.33 spl17_102 | ~spl17_14), 5.88/1.33 inference(avatar_split_clause,[],[f1649,f174,f1725])). 5.88/1.33 tff(f1725,plain,( 5.88/1.33 spl17_102 <=> empty_set = difference(sF10,sF11)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_102])])). 5.88/1.33 tff(f1649,plain,( 5.88/1.33 empty_set = difference(sF10,sF11) | ~spl17_14), 5.88/1.33 inference(duplicate_literal_removal,[],[f1643])). 5.88/1.33 tff(f1643,plain,( 5.88/1.33 empty_set = difference(sF10,sF11) | empty_set = difference(sF10,sF11) | ~spl17_14), 5.88/1.33 inference(resolution,[],[f451,f236])). 5.88/1.33 tff(f451,plain,( 5.88/1.33 ( ! [X0 : set] : (~member(sK0(difference(X0,sF11)),sF10) | empty_set = difference(X0,sF11)) ) | ~spl17_14), 5.88/1.33 inference(resolution,[],[f237,f255])). 5.88/1.33 tff(f255,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF11) | ~member(X0,sF10)) ) | ~spl17_14), 5.88/1.33 inference(superposition,[],[f102,f175])). 5.88/1.33 tff(f1713,plain,( 5.88/1.33 spl17_101 | ~spl17_13), 5.88/1.33 inference(avatar_split_clause,[],[f1641,f170,f1711])). 5.88/1.33 tff(f1711,plain,( 5.88/1.33 spl17_101 <=> empty_set = difference(sK5,sF9)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_101])])). 5.88/1.33 tff(f1641,plain,( 5.88/1.33 empty_set = difference(sK5,sF9) | ~spl17_13), 5.88/1.33 inference(duplicate_literal_removal,[],[f1634])). 5.88/1.33 tff(f1634,plain,( 5.88/1.33 empty_set = difference(sK5,sF9) | empty_set = difference(sK5,sF9) | ~spl17_13), 5.88/1.33 inference(resolution,[],[f449,f236])). 5.88/1.33 tff(f449,plain,( 5.88/1.33 ( ! [X0 : set] : (~member(sK0(difference(X0,sF9)),sK5) | empty_set = difference(X0,sF9)) ) | ~spl17_13), 5.88/1.33 inference(resolution,[],[f237,f243])). 5.88/1.33 tff(f243,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF9) | ~member(X0,sK5)) ) | ~spl17_13), 5.88/1.33 inference(superposition,[],[f101,f171])). 5.88/1.33 tff(f1699,plain,( 5.88/1.33 spl17_100 | ~spl17_13), 5.88/1.33 inference(avatar_split_clause,[],[f1629,f170,f1697])). 5.88/1.33 tff(f1697,plain,( 5.88/1.33 spl17_100 <=> empty_set = difference(sF8,sF9)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_100])])). 5.88/1.33 tff(f1629,plain,( 5.88/1.33 empty_set = difference(sF8,sF9) | ~spl17_13), 5.88/1.33 inference(duplicate_literal_removal,[],[f1623])). 5.88/1.33 tff(f1623,plain,( 5.88/1.33 empty_set = difference(sF8,sF9) | empty_set = difference(sF8,sF9) | ~spl17_13), 5.88/1.33 inference(resolution,[],[f448,f236])). 5.88/1.33 tff(f448,plain,( 5.88/1.33 ( ! [X0 : set] : (~member(sK0(difference(X0,sF9)),sF8) | empty_set = difference(X0,sF9)) ) | ~spl17_13), 5.88/1.33 inference(resolution,[],[f237,f254])). 5.88/1.33 tff(f1514,plain,( 5.88/1.33 spl17_99 | ~spl17_1), 5.88/1.33 inference(avatar_split_clause,[],[f1486,f121,f1512])). 5.88/1.33 tff(f1512,plain,( 5.88/1.33 spl17_99 <=> empty_set = difference(sK5,sK1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_99])])). 5.88/1.33 tff(f121,plain,( 5.88/1.33 spl17_1 <=> subset(sK5,sK1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_1])])). 5.88/1.33 tff(f1486,plain,( 5.88/1.33 empty_set = difference(sK5,sK1) | ~spl17_1), 5.88/1.33 inference(duplicate_literal_removal,[],[f1484])). 5.88/1.33 tff(f1484,plain,( 5.88/1.33 empty_set = difference(sK5,sK1) | empty_set = difference(sK5,sK1) | ~spl17_1), 5.88/1.33 inference(resolution,[],[f445,f236])). 5.88/1.33 tff(f445,plain,( 5.88/1.33 ( ! [X0 : set] : (~member(sK0(difference(X0,sK1)),sK5) | empty_set = difference(X0,sK1)) ) | ~spl17_1), 5.88/1.33 inference(resolution,[],[f237,f265])). 5.88/1.33 tff(f265,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sK1) | ~member(X0,sK5)) ) | ~spl17_1), 5.88/1.33 inference(resolution,[],[f95,f122])). 5.88/1.33 tff(f122,plain,( 5.88/1.33 subset(sK5,sK1) | ~spl17_1), 5.88/1.33 inference(avatar_component_clause,[],[f121])). 5.88/1.33 tff(f95,plain,( 5.88/1.33 ( ! [X2 : element,X0 : set,X1 : set] : (~subset(X1,X0) | ~member(X2,X1) | member(X2,X0)) )), 5.88/1.33 inference(cnf_transformation,[],[f64])). 5.88/1.33 tff(f64,plain,( 5.88/1.33 ! [X0 : set,X1 : set] : (! [X2 : element] : (~member(X2,X1) | member(X2,X0)) | ~subset(X1,X0))), 5.88/1.33 inference(rectify,[],[f41])). 5.88/1.33 tff(f41,plain,( 5.88/1.33 ! [X1 : set,X0 : set] : (! [X2 : element] : (~member(X2,X0) | member(X2,X1)) | ~subset(X0,X1))), 5.88/1.33 inference(ennf_transformation,[],[f40])). 5.88/1.33 tff(f40,plain,( 5.88/1.33 ! [X1 : set,X0 : set] : (subset(X0,X1) => ! [X2 : element] : (member(X2,X0) => member(X2,X1)))), 5.88/1.33 inference(unused_predicate_definition_removal,[],[f27])). 5.88/1.33 tff(f27,plain,( 5.88/1.33 ! [X1 : set,X0 : set] : (! [X2 : element] : (member(X2,X0) => member(X2,X1)) <=> subset(X0,X1))), 5.88/1.33 inference(rectify,[],[f10])). 5.88/1.33 tff(f10,axiom,( 5.88/1.33 ! [X1 : set,X0 : set] : (subset(X1,X0) <=> ! [X8 : element] : (member(X8,X1) => member(X8,X0)))), 5.88/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.88/1.33 tff(f1472,plain,( 5.88/1.33 spl17_98), 5.88/1.33 inference(avatar_split_clause,[],[f1458,f1470])). 5.88/1.33 tff(f1470,plain,( 5.88/1.33 spl17_98 <=> empty_set = union(empty_set,empty_set)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_98])])). 5.88/1.33 tff(f1458,plain,( 5.88/1.33 empty_set = union(empty_set,empty_set)), 5.88/1.33 inference(resolution,[],[f981,f103])). 5.88/1.33 tff(f981,plain,( 5.88/1.33 ( ! [X0 : set] : (member(sK0(union(X0,empty_set)),X0) | empty_set = union(X0,empty_set)) )), 5.88/1.33 inference(resolution,[],[f280,f103])). 5.88/1.33 tff(f1443,plain,( 5.88/1.33 ~spl17_97 | ~spl17_6 | ~spl17_9), 5.88/1.33 inference(avatar_split_clause,[],[f1377,f153,f141,f1441])). 5.88/1.33 tff(f1441,plain,( 5.88/1.33 spl17_97 <=> 0 = cardinality(sF10)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_97])])). 5.88/1.33 tff(f141,plain,( 5.88/1.33 spl17_6 <=> 0 = cardinality(empty_set)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_6])])). 5.88/1.33 tff(f1377,plain,( 5.88/1.33 0 != cardinality(sF10) | (~spl17_6 | ~spl17_9)), 5.88/1.33 inference(evaluation,[],[f1376])). 5.88/1.33 tff(f1376,plain,( 5.88/1.33 0 != cardinality(sF10) | 0 = $sum(0,1) | (~spl17_6 | ~spl17_9)), 5.88/1.33 inference(forward_demodulation,[],[f1375,f142])). 5.88/1.33 tff(f142,plain,( 5.88/1.33 0 = cardinality(empty_set) | ~spl17_6), 5.88/1.33 inference(avatar_component_clause,[],[f141])). 5.88/1.33 tff(f1375,plain,( 5.88/1.33 0 != cardinality(sF10) | cardinality(empty_set) = $sum(cardinality(empty_set),1) | (~spl17_6 | ~spl17_9)), 5.88/1.33 inference(subsumption_resolution,[],[f1355,f401])). 5.88/1.33 tff(f401,plain,( 5.88/1.33 ( ! [X0 : set] : (empty_set = intersection(X0,empty_set)) )), 5.88/1.33 inference(resolution,[],[f218,f103])). 5.88/1.33 tff(f1355,plain,( 5.88/1.33 0 != cardinality(sF10) | cardinality(empty_set) = $sum(cardinality(empty_set),1) | empty_set != intersection(sF10,empty_set) | (~spl17_6 | ~spl17_9)), 5.88/1.33 inference(superposition,[],[f330,f1037])). 5.88/1.33 tff(f1037,plain,( 5.88/1.33 ( ! [X0 : set] : (empty_set = union(X0,empty_set) | 0 != cardinality(X0)) ) | ~spl17_6), 5.88/1.33 inference(subsumption_resolution,[],[f1035,f401])). 5.88/1.33 tff(f1035,plain,( 5.88/1.33 ( ! [X0 : set] : (0 != cardinality(X0) | empty_set != intersection(X0,empty_set) | empty_set = union(X0,empty_set)) ) | ~spl17_6), 5.88/1.33 inference(evaluation,[],[f1020])). 5.88/1.33 tff(f1020,plain,( 5.88/1.33 ( ! [X0 : set] : (0 != $sum(cardinality(X0),0) | empty_set = union(X0,empty_set) | empty_set != intersection(X0,empty_set)) ) | ~spl17_6), 5.88/1.33 inference(superposition,[],[f326,f142])). 5.88/1.33 tff(f326,plain,( 5.88/1.33 ( ! [X0 : set,X1 : set] : (0 != $sum(cardinality(X0),cardinality(X1)) | empty_set != intersection(X0,X1) | empty_set = union(X0,X1)) )), 5.88/1.33 inference(superposition,[],[f77,f99])). 5.88/1.33 tff(f330,plain,( 5.88/1.33 ( ! [X0 : set] : (cardinality(union(sF10,X0)) = $sum(cardinality(X0),1) | empty_set != intersection(sF10,X0)) ) | ~spl17_9), 5.88/1.33 inference(superposition,[],[f78,f154])). 5.88/1.33 tff(f78,plain,( 5.88/1.33 ( ! [X0 : element,X1 : set] : (cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) | empty_set != intersection(singleton(X0),X1)) )), 5.88/1.33 inference(cnf_transformation,[],[f50])). 5.88/1.33 tff(f50,plain,( 5.88/1.33 ! [X0 : element,X1 : set] : ((empty_set = intersection(singleton(X0),X1) | cardinality(union(singleton(X0),X1)) != $sum(cardinality(X1),1)) & (cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) | empty_set != intersection(singleton(X0),X1)))), 5.88/1.33 inference(nnf_transformation,[],[f28])). 5.88/1.33 tff(f28,plain,( 5.88/1.33 ! [X0 : element,X1 : set] : (empty_set = intersection(singleton(X0),X1) <=> cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1))), 5.88/1.33 inference(rectify,[],[f8])). 5.88/1.33 tff(f8,axiom,( 5.88/1.33 ! [X8 : element,X3 : set] : (cardinality(union(singleton(X8),X3)) = $sum(cardinality(X3),1) <=> empty_set = intersection(singleton(X8),X3))), 5.88/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.88/1.33 tff(f1417,plain,( 5.88/1.33 spl17_96), 5.88/1.33 inference(avatar_split_clause,[],[f1402,f1415])). 5.88/1.33 tff(f1415,plain,( 5.88/1.33 spl17_96 <=> empty_set = complement(complement(empty_set))), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_96])])). 5.88/1.33 tff(f1402,plain,( 5.88/1.33 empty_set = complement(complement(empty_set))), 5.88/1.33 inference(resolution,[],[f354,f103])). 5.88/1.33 tff(f354,plain,( 5.88/1.33 ( ! [X0 : set] : (member(sK0(complement(complement(X0))),X0) | empty_set = complement(complement(X0))) )), 5.88/1.33 inference(resolution,[],[f210,f74])). 5.88/1.33 tff(f74,plain,( 5.88/1.33 ( ! [X0 : set,X1 : element] : (member(X1,complement(X0)) | member(X1,X0)) )), 5.88/1.33 inference(cnf_transformation,[],[f48])). 5.88/1.33 tff(f48,plain,( 5.88/1.33 ! [X0 : set,X1 : element] : ((~member(X1,complement(X0)) | ~member(X1,X0)) & (member(X1,X0) | member(X1,complement(X0))))), 5.88/1.33 inference(nnf_transformation,[],[f35])). 5.88/1.33 tff(f35,plain,( 5.88/1.33 ! [X0 : set,X1 : element] : (~member(X1,complement(X0)) <=> member(X1,X0))), 5.88/1.33 inference(rectify,[],[f5])). 5.88/1.33 tff(f5,axiom,( 5.88/1.33 ! [X3 : set,X8 : element] : (member(X8,X3) <=> ~member(X8,complement(X3)))), 5.88/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.88/1.33 tff(f210,plain,( 5.88/1.33 ( ! [X0 : set] : (~member(sK0(complement(X0)),X0) | empty_set = complement(X0)) )), 5.88/1.33 inference(resolution,[],[f75,f72])). 5.88/1.33 tff(f75,plain,( 5.88/1.33 ( ! [X0 : set,X1 : element] : (~member(X1,complement(X0)) | ~member(X1,X0)) )), 5.88/1.33 inference(cnf_transformation,[],[f48])). 5.88/1.33 tff(f1392,plain,( 5.88/1.33 ~spl17_95 | ~spl17_6 | ~spl17_10), 5.88/1.33 inference(avatar_split_clause,[],[f1369,f157,f141,f1390])). 5.88/1.33 tff(f1390,plain,( 5.88/1.33 spl17_95 <=> 0 = cardinality(sF12)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_95])])). 5.88/1.33 tff(f1369,plain,( 5.88/1.33 0 != cardinality(sF12) | (~spl17_6 | ~spl17_10)), 5.88/1.33 inference(evaluation,[],[f1368])). 5.88/1.33 tff(f1368,plain,( 5.88/1.33 0 != cardinality(sF12) | 0 = $sum(0,1) | (~spl17_6 | ~spl17_10)), 5.88/1.33 inference(forward_demodulation,[],[f1367,f142])). 5.88/1.33 tff(f1367,plain,( 5.88/1.33 0 != cardinality(sF12) | cardinality(empty_set) = $sum(cardinality(empty_set),1) | (~spl17_6 | ~spl17_10)), 5.88/1.33 inference(subsumption_resolution,[],[f1358,f401])). 5.88/1.33 tff(f1358,plain,( 5.88/1.33 empty_set != intersection(sF12,empty_set) | 0 != cardinality(sF12) | cardinality(empty_set) = $sum(cardinality(empty_set),1) | (~spl17_6 | ~spl17_10)), 5.88/1.33 inference(superposition,[],[f331,f1037])). 5.88/1.33 tff(f331,plain,( 5.88/1.33 ( ! [X0 : set] : (cardinality(union(sF12,X0)) = $sum(cardinality(X0),1) | empty_set != intersection(sF12,X0)) ) | ~spl17_10), 5.88/1.33 inference(superposition,[],[f78,f158])). 5.88/1.33 tff(f1387,plain,( 5.88/1.33 ~spl17_94 | ~spl17_6 | ~spl17_8), 5.88/1.33 inference(avatar_split_clause,[],[f1366,f149,f141,f1385])). 5.88/1.33 tff(f1385,plain,( 5.88/1.33 spl17_94 <=> 0 = cardinality(sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_94])])). 5.88/1.33 tff(f1366,plain,( 5.88/1.33 0 != cardinality(sF8) | (~spl17_6 | ~spl17_8)), 5.88/1.33 inference(evaluation,[],[f1365])). 5.88/1.33 tff(f1365,plain,( 5.88/1.33 0 != cardinality(sF8) | 0 = $sum(0,1) | (~spl17_6 | ~spl17_8)), 5.88/1.33 inference(forward_demodulation,[],[f1364,f142])). 5.88/1.33 tff(f1364,plain,( 5.88/1.33 cardinality(empty_set) = $sum(cardinality(empty_set),1) | 0 != cardinality(sF8) | (~spl17_6 | ~spl17_8)), 5.88/1.33 inference(subsumption_resolution,[],[f1352,f401])). 5.88/1.33 tff(f1352,plain,( 5.88/1.33 0 != cardinality(sF8) | cardinality(empty_set) = $sum(cardinality(empty_set),1) | empty_set != intersection(sF8,empty_set) | (~spl17_6 | ~spl17_8)), 5.88/1.33 inference(superposition,[],[f329,f1037])). 5.88/1.33 tff(f329,plain,( 5.88/1.33 ( ! [X0 : set] : (cardinality(union(sF8,X0)) = $sum(cardinality(X0),1) | empty_set != intersection(sF8,X0)) ) | ~spl17_8), 5.88/1.33 inference(superposition,[],[f78,f150])). 5.88/1.33 tff(f1318,plain,( 5.88/1.33 ~spl17_93 | ~spl17_17 | spl17_80 | spl17_81), 5.88/1.33 inference(avatar_split_clause,[],[f1047,f1041,f975,f186,f1316])). 5.88/1.33 tff(f1316,plain,( 5.88/1.33 spl17_93 <=> member(sK0(complement(sF16)),sF16)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_93])])). 5.88/1.33 tff(f975,plain,( 5.88/1.33 spl17_80 <=> member(sK0(complement(sF16)),sF10)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_80])])). 5.88/1.33 tff(f1041,plain,( 5.88/1.33 spl17_81 <=> member(sK0(complement(sF16)),sF15)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_81])])). 5.88/1.33 tff(f1047,plain,( 5.88/1.33 ~member(sK0(complement(sF16)),sF16) | (~spl17_17 | spl17_80 | spl17_81)), 5.88/1.33 inference(subsumption_resolution,[],[f1044,f976])). 5.88/1.33 tff(f976,plain,( 5.88/1.33 ~member(sK0(complement(sF16)),sF10) | spl17_80), 5.88/1.33 inference(avatar_component_clause,[],[f975])). 5.88/1.33 tff(f1044,plain,( 5.88/1.33 member(sK0(complement(sF16)),sF10) | ~member(sK0(complement(sF16)),sF16) | (~spl17_17 | spl17_81)), 5.88/1.33 inference(resolution,[],[f1042,f285])). 5.88/1.33 tff(f285,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF15) | ~member(X0,sF16) | member(X0,sF10)) ) | ~spl17_17), 5.88/1.33 inference(superposition,[],[f100,f187])). 5.88/1.33 tff(f1042,plain,( 5.88/1.33 ~member(sK0(complement(sF16)),sF15) | spl17_81), 5.88/1.33 inference(avatar_component_clause,[],[f1041])). 5.88/1.33 tff(f1283,plain,( 5.88/1.33 ~spl17_42 | ~spl17_6 | ~spl17_10), 5.88/1.33 inference(avatar_split_clause,[],[f1230,f157,f141,f636])). 5.88/1.33 tff(f636,plain,( 5.88/1.33 spl17_42 <=> empty_set = sF12), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_42])])). 5.88/1.33 tff(f1230,plain,( 5.88/1.33 empty_set != sF12 | (~spl17_6 | ~spl17_10)), 5.88/1.33 inference(superposition,[],[f1208,f158])). 5.88/1.33 tff(f1208,plain,( 5.88/1.33 ( ! [X0 : element] : (empty_set != singleton(X0)) ) | ~spl17_6), 5.88/1.33 inference(forward_demodulation,[],[f1207,f401])). 5.88/1.33 tff(f1207,plain,( 5.88/1.33 ( ! [X0 : element] : (singleton(X0) != intersection(singleton(X0),empty_set)) ) | ~spl17_6), 5.88/1.33 inference(subsumption_resolution,[],[f1202,f401])). 5.88/1.33 tff(f1202,plain,( 5.88/1.33 ( ! [X0 : element] : (empty_set != intersection(singleton(X0),empty_set) | singleton(X0) != intersection(singleton(X0),empty_set)) ) | ~spl17_6), 5.88/1.33 inference(evaluation,[],[f1177])). 5.88/1.33 tff(f1177,plain,( 5.88/1.33 ( ! [X0 : element] : (empty_set != intersection(singleton(X0),empty_set) | 0 = $sum(0,1) | singleton(X0) != intersection(singleton(X0),empty_set)) ) | ~spl17_6), 5.88/1.33 inference(superposition,[],[f332,f142])). 5.88/1.33 tff(f332,plain,( 5.88/1.33 ( ! [X0 : element,X1 : set] : (cardinality(X1) = $sum(cardinality(X1),1) | empty_set != intersection(singleton(X0),X1) | singleton(X0) != intersection(singleton(X0),X1)) )), 5.88/1.33 inference(superposition,[],[f78,f97])). 5.88/1.33 tff(f97,plain,( 5.88/1.33 ( ! [X0 : element,X1 : set] : (cardinality(X1) = cardinality(union(singleton(X0),X1)) | singleton(X0) != intersection(singleton(X0),X1)) )), 5.88/1.33 inference(cnf_transformation,[],[f66])). 5.88/1.33 tff(f66,plain,( 5.88/1.33 ! [X0 : element,X1 : set] : ((cardinality(X1) = cardinality(union(singleton(X0),X1)) | singleton(X0) != intersection(singleton(X0),X1)) & (singleton(X0) = intersection(singleton(X0),X1) | cardinality(X1) != cardinality(union(singleton(X0),X1))))), 5.88/1.33 inference(rectify,[],[f65])). 5.88/1.33 tff(f65,plain,( 5.88/1.33 ! [X1 : element,X0 : set] : ((cardinality(X0) = cardinality(union(singleton(X1),X0)) | singleton(X1) != intersection(singleton(X1),X0)) & (singleton(X1) = intersection(singleton(X1),X0) | cardinality(X0) != cardinality(union(singleton(X1),X0))))), 5.88/1.33 inference(nnf_transformation,[],[f32])). 5.88/1.33 tff(f32,plain,( 5.88/1.33 ! [X1 : element,X0 : set] : (cardinality(X0) = cardinality(union(singleton(X1),X0)) <=> singleton(X1) = intersection(singleton(X1),X0))), 5.88/1.33 inference(rectify,[],[f12])). 5.88/1.33 tff(f12,axiom,( 5.88/1.33 ! [X3 : set,X8 : element] : (singleton(X8) = intersection(singleton(X8),X3) <=> cardinality(X3) = cardinality(union(singleton(X8),X3)))), 5.88/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.88/1.33 tff(f1259,plain,( 5.88/1.33 ~spl17_37 | ~spl17_6 | ~spl17_8), 5.88/1.33 inference(avatar_split_clause,[],[f1229,f149,f141,f494])). 5.88/1.33 tff(f494,plain,( 5.88/1.33 spl17_37 <=> empty_set = sF8), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_37])])). 5.88/1.33 tff(f1229,plain,( 5.88/1.33 empty_set != sF8 | (~spl17_6 | ~spl17_8)), 5.88/1.33 inference(superposition,[],[f1208,f150])). 5.88/1.33 tff(f1232,plain,( 5.88/1.33 ~spl17_39 | ~spl17_6 | ~spl17_9), 5.88/1.33 inference(avatar_split_clause,[],[f1228,f153,f141,f564])). 5.88/1.33 tff(f564,plain,( 5.88/1.33 spl17_39 <=> empty_set = sF10), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_39])])). 5.88/1.33 tff(f1228,plain,( 5.88/1.33 empty_set != sF10 | (~spl17_6 | ~spl17_9)), 5.88/1.33 inference(superposition,[],[f1208,f154])). 5.88/1.33 tff(f1176,plain,( 5.88/1.33 ~spl17_92 | ~spl17_1 | spl17_90), 5.88/1.33 inference(avatar_split_clause,[],[f1147,f1144,f121,f1174])). 5.88/1.33 tff(f1144,plain,( 5.88/1.33 spl17_90 <=> member(sK0(complement(sF16)),sK1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_90])])). 5.88/1.33 tff(f1147,plain,( 5.88/1.33 ~member(sK0(complement(sF16)),sK5) | (~spl17_1 | spl17_90)), 5.88/1.33 inference(resolution,[],[f1145,f265])). 5.88/1.33 tff(f1145,plain,( 5.88/1.33 ~member(sK0(complement(sF16)),sK1) | spl17_90), 5.88/1.33 inference(avatar_component_clause,[],[f1144])). 5.88/1.33 tff(f1151,plain,( 5.88/1.33 ~spl17_91 | ~spl17_6 | ~spl17_8 | spl17_50), 5.88/1.33 inference(avatar_split_clause,[],[f1112,f724,f149,f141,f1149])). 5.88/1.33 tff(f724,plain,( 5.88/1.33 spl17_50 <=> $sum(cardinality(sK1),cardinality(sF8)) = cardinality(sF15)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_50])])). 5.88/1.33 tff(f1112,plain,( 5.88/1.33 cardinality(sF15) != $sum(cardinality(sK1),1) | (~spl17_6 | ~spl17_8 | spl17_50)), 5.88/1.33 inference(backward_demodulation,[],[f725,f1076])). 5.88/1.33 tff(f1076,plain,( 5.88/1.33 1 = cardinality(sF8) | (~spl17_6 | ~spl17_8)), 5.88/1.33 inference(superposition,[],[f1073,f150])). 5.88/1.33 tff(f1073,plain,( 5.88/1.33 ( ! [X0 : element] : (1 = cardinality(singleton(X0))) ) | ~spl17_6), 5.88/1.33 inference(subsumption_resolution,[],[f1066,f401])). 5.88/1.33 tff(f1066,plain,( 5.88/1.33 ( ! [X0 : element] : (empty_set != intersection(singleton(X0),empty_set) | 1 = cardinality(singleton(X0))) ) | ~spl17_6), 5.88/1.33 inference(evaluation,[],[f1052])). 5.88/1.33 tff(f1052,plain,( 5.88/1.33 ( ! [X0 : element] : (empty_set != intersection(singleton(X0),empty_set) | $sum(0,1) = $sum(cardinality(singleton(X0)),0)) ) | ~spl17_6), 5.88/1.33 inference(superposition,[],[f339,f142])). 5.88/1.33 tff(f339,plain,( 5.88/1.33 ( ! [X0 : element,X1 : set] : ($sum(cardinality(X1),1) = $sum(cardinality(singleton(X0)),cardinality(X1)) | empty_set != intersection(singleton(X0),X1)) )), 5.88/1.33 inference(duplicate_literal_removal,[],[f333])). 5.88/1.33 tff(f333,plain,( 5.88/1.33 ( ! [X0 : element,X1 : set] : (empty_set != intersection(singleton(X0),X1) | $sum(cardinality(X1),1) = $sum(cardinality(singleton(X0)),cardinality(X1)) | empty_set != intersection(singleton(X0),X1)) )), 5.88/1.33 inference(superposition,[],[f78,f99])). 5.88/1.33 tff(f725,plain,( 5.88/1.33 $sum(cardinality(sK1),cardinality(sF8)) != cardinality(sF15) | spl17_50), 5.88/1.33 inference(avatar_component_clause,[],[f724])). 5.88/1.33 tff(f1146,plain,( 5.88/1.33 ~spl17_90 | ~spl17_16 | spl17_81), 5.88/1.33 inference(avatar_split_clause,[],[f1046,f1041,f182,f1144])). 5.88/1.33 tff(f1046,plain,( 5.88/1.33 ~member(sK0(complement(sF16)),sK1) | (~spl17_16 | spl17_81)), 5.88/1.33 inference(resolution,[],[f1042,f242])). 5.88/1.33 tff(f1141,plain,( 5.88/1.33 ~spl17_89 | ~spl17_6 | ~spl17_10 | spl17_59), 5.88/1.33 inference(avatar_split_clause,[],[f1120,f796,f157,f141,f1139])). 5.88/1.33 tff(f1139,plain,( 5.88/1.33 spl17_89 <=> sF14 = $sum(cardinality(sF11),1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_89])])). 5.88/1.33 tff(f796,plain,( 5.88/1.33 spl17_59 <=> sF14 = $sum(cardinality(sF11),cardinality(sF12))), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_59])])). 5.88/1.33 tff(f1120,plain,( 5.88/1.33 sF14 != $sum(cardinality(sF11),1) | (~spl17_6 | ~spl17_10 | spl17_59)), 5.88/1.33 inference(backward_demodulation,[],[f797,f1077])). 5.88/1.33 tff(f1077,plain,( 5.88/1.33 1 = cardinality(sF12) | (~spl17_6 | ~spl17_10)), 5.88/1.33 inference(superposition,[],[f1073,f158])). 5.88/1.33 tff(f797,plain,( 5.88/1.33 sF14 != $sum(cardinality(sF11),cardinality(sF12)) | spl17_59), 5.88/1.33 inference(avatar_component_clause,[],[f796])). 5.88/1.33 tff(f1135,plain,( 5.88/1.33 ~spl17_88 | ~spl17_6 | ~spl17_8 | spl17_57), 5.88/1.33 inference(avatar_split_clause,[],[f1111,f789,f149,f141,f1133])). 5.88/1.33 tff(f789,plain,( 5.88/1.33 spl17_57 <=> cardinality(sF9) = $sum(sF6,cardinality(sF8))), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_57])])). 5.88/1.33 tff(f1111,plain,( 5.88/1.33 cardinality(sF9) != $sum(sF6,1) | (~spl17_6 | ~spl17_8 | spl17_57)), 5.88/1.33 inference(backward_demodulation,[],[f790,f1076])). 5.88/1.33 tff(f790,plain,( 5.88/1.33 cardinality(sF9) != $sum(sF6,cardinality(sF8)) | spl17_57), 5.88/1.33 inference(avatar_component_clause,[],[f789])). 5.88/1.33 tff(f1131,plain,( 5.88/1.33 ~spl17_87 | ~spl17_16 | spl17_81), 5.88/1.33 inference(avatar_split_clause,[],[f1045,f1041,f182,f1129])). 5.88/1.33 tff(f1045,plain,( 5.88/1.33 ~member(sK0(complement(sF16)),sF8) | (~spl17_16 | spl17_81)), 5.88/1.33 inference(resolution,[],[f1042,f253])). 5.88/1.33 tff(f1124,plain,( 5.88/1.33 spl17_86 | ~spl17_6 | ~spl17_10), 5.88/1.33 inference(avatar_split_clause,[],[f1077,f157,f141,f1122])). 5.88/1.33 tff(f1122,plain,( 5.88/1.33 spl17_86 <=> 1 = cardinality(sF12)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_86])])). 5.88/1.33 tff(f1116,plain,( 5.88/1.33 spl17_85 | ~spl17_6 | ~spl17_8), 5.88/1.33 inference(avatar_split_clause,[],[f1076,f149,f141,f1114])). 5.88/1.33 tff(f1110,plain,( 5.88/1.33 ~spl17_84 | ~spl17_6 | ~spl17_9 | spl17_53), 5.88/1.33 inference(avatar_split_clause,[],[f1095,f747,f153,f141,f1108])). 5.88/1.33 tff(f747,plain,( 5.88/1.33 spl17_53 <=> $sum(cardinality(sF9),cardinality(sF10)) = cardinality(sF11)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_53])])). 5.88/1.33 tff(f1095,plain,( 5.88/1.33 cardinality(sF11) != $sum(cardinality(sF9),1) | (~spl17_6 | ~spl17_9 | spl17_53)), 5.88/1.33 inference(backward_demodulation,[],[f748,f1075])). 5.88/1.33 tff(f1075,plain,( 5.88/1.33 1 = cardinality(sF10) | (~spl17_6 | ~spl17_9)), 5.88/1.33 inference(superposition,[],[f1073,f154])). 5.88/1.33 tff(f748,plain,( 5.88/1.33 $sum(cardinality(sF9),cardinality(sF10)) != cardinality(sF11) | spl17_53), 5.88/1.33 inference(avatar_component_clause,[],[f747])). 5.88/1.33 tff(f1103,plain,( 5.88/1.33 ~spl17_83 | ~spl17_6 | ~spl17_9 | spl17_56), 5.88/1.33 inference(avatar_split_clause,[],[f1094,f764,f153,f141,f1101])). 5.88/1.33 tff(f1094,plain,( 5.88/1.33 cardinality(sF16) != $sum(cardinality(sF15),1) | (~spl17_6 | ~spl17_9 | spl17_56)), 5.88/1.33 inference(backward_demodulation,[],[f765,f1075])). 5.88/1.33 tff(f765,plain,( 5.88/1.33 $sum(cardinality(sF15),cardinality(sF10)) != cardinality(sF16) | spl17_56), 5.88/1.33 inference(avatar_component_clause,[],[f764])). 5.88/1.33 tff(f1099,plain,( 5.88/1.33 spl17_82 | ~spl17_6 | ~spl17_9), 5.88/1.33 inference(avatar_split_clause,[],[f1075,f153,f141,f1097])). 5.88/1.33 tff(f1043,plain,( 5.88/1.33 ~spl17_81 | spl17_79 | ~spl17_17), 5.88/1.33 inference(avatar_split_clause,[],[f365,f186,f972,f1041])). 5.88/1.33 tff(f972,plain,( 5.88/1.33 spl17_79 <=> empty_set = complement(sF16)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_79])])). 5.88/1.33 tff(f365,plain,( 5.88/1.33 empty_set = complement(sF16) | ~member(sK0(complement(sF16)),sF15) | ~spl17_17), 5.88/1.33 inference(resolution,[],[f210,f246])). 5.88/1.33 tff(f1006,plain,( 5.88/1.33 spl17_4 | ~spl17_79), 5.88/1.33 inference(avatar_contradiction_clause,[],[f1005])). 5.88/1.33 tff(f1005,plain,( 5.88/1.33 $false | (spl17_4 | ~spl17_79)), 5.88/1.33 inference(resolution,[],[f980,f134])). 5.88/1.33 tff(f134,plain,( 5.88/1.33 ~member(sK2,sF16) | spl17_4), 5.88/1.33 inference(avatar_component_clause,[],[f133])). 5.88/1.33 tff(f133,plain,( 5.88/1.33 spl17_4 <=> member(sK2,sF16)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_4])])). 5.88/1.33 tff(f980,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF16)) ) | ~spl17_79), 5.88/1.33 inference(subsumption_resolution,[],[f979,f103])). 5.88/1.33 tff(f979,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF16) | member(X0,empty_set)) ) | ~spl17_79), 5.88/1.33 inference(superposition,[],[f74,f973])). 5.88/1.33 tff(f973,plain,( 5.88/1.33 empty_set = complement(sF16) | ~spl17_79), 5.88/1.33 inference(avatar_component_clause,[],[f972])). 5.88/1.33 tff(f977,plain,( 5.88/1.33 spl17_79 | ~spl17_80 | ~spl17_17), 5.88/1.33 inference(avatar_split_clause,[],[f364,f186,f975,f972])). 5.88/1.33 tff(f364,plain,( 5.88/1.33 ~member(sK0(complement(sF16)),sF10) | empty_set = complement(sF16) | ~spl17_17), 5.88/1.33 inference(resolution,[],[f210,f257])). 5.88/1.33 tff(f970,plain,( 5.88/1.33 ~spl17_78 | ~spl17_1 | spl17_77), 5.88/1.33 inference(avatar_split_clause,[],[f966,f963,f121,f968])). 5.88/1.33 tff(f966,plain,( 5.88/1.33 ~member(sK0(complement(sF15)),sK5) | (~spl17_1 | spl17_77)), 5.88/1.33 inference(resolution,[],[f964,f265])). 5.88/1.33 tff(f965,plain,( 5.88/1.33 spl17_71 | ~spl17_77 | ~spl17_16), 5.88/1.33 inference(avatar_split_clause,[],[f363,f182,f963,f890])). 5.88/1.33 tff(f890,plain,( 5.88/1.33 spl17_71 <=> empty_set = complement(sF15)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_71])])). 5.88/1.33 tff(f363,plain,( 5.88/1.33 ~member(sK0(complement(sF15)),sK1) | empty_set = complement(sF15) | ~spl17_16), 5.88/1.33 inference(resolution,[],[f210,f242])). 5.88/1.33 tff(f955,plain,( 5.88/1.33 ~spl17_76 | ~spl17_13 | spl17_74), 5.88/1.33 inference(avatar_split_clause,[],[f933,f920,f170,f953])). 5.88/1.33 tff(f953,plain,( 5.88/1.33 spl17_76 <=> member(sK0(complement(sF13)),sK5)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_76])])). 5.88/1.33 tff(f920,plain,( 5.88/1.33 spl17_74 <=> member(sK0(complement(sF13)),sF9)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_74])])). 5.88/1.33 tff(f933,plain,( 5.88/1.33 ~member(sK0(complement(sF13)),sK5) | (~spl17_13 | spl17_74)), 5.88/1.33 inference(resolution,[],[f921,f243])). 5.88/1.33 tff(f921,plain,( 5.88/1.33 ~member(sK0(complement(sF13)),sF9) | spl17_74), 5.88/1.33 inference(avatar_component_clause,[],[f920])). 5.88/1.33 tff(f946,plain,( 5.88/1.33 ~spl17_75 | ~spl17_13 | spl17_74), 5.88/1.33 inference(avatar_split_clause,[],[f932,f920,f170,f944])). 5.88/1.33 tff(f944,plain,( 5.88/1.33 spl17_75 <=> member(sK0(complement(sF13)),sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_75])])). 5.88/1.33 tff(f932,plain,( 5.88/1.33 ~member(sK0(complement(sF13)),sF8) | (~spl17_13 | spl17_74)), 5.88/1.33 inference(resolution,[],[f921,f254])). 5.88/1.33 tff(f922,plain,( 5.88/1.33 ~spl17_74 | ~spl17_14 | spl17_68), 5.88/1.33 inference(avatar_split_clause,[],[f910,f858,f174,f920])). 5.88/1.33 tff(f858,plain,( 5.88/1.33 spl17_68 <=> member(sK0(complement(sF13)),sF11)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_68])])). 5.88/1.33 tff(f910,plain,( 5.88/1.33 ~member(sK0(complement(sF13)),sF9) | (~spl17_14 | spl17_68)), 5.88/1.33 inference(resolution,[],[f859,f244])). 5.88/1.33 tff(f859,plain,( 5.88/1.33 ~member(sK0(complement(sF13)),sF11) | spl17_68), 5.88/1.33 inference(avatar_component_clause,[],[f858])). 5.88/1.33 tff(f917,plain,( 5.88/1.33 ~spl17_73 | ~spl17_14 | spl17_68), 5.88/1.33 inference(avatar_split_clause,[],[f909,f858,f174,f915])). 5.88/1.33 tff(f915,plain,( 5.88/1.33 spl17_73 <=> member(sK0(complement(sF13)),sF10)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_73])])). 5.88/1.33 tff(f909,plain,( 5.88/1.33 ~member(sK0(complement(sF13)),sF10) | (~spl17_14 | spl17_68)), 5.88/1.33 inference(resolution,[],[f859,f255])). 5.88/1.33 tff(f905,plain,( 5.88/1.33 spl17_5 | ~spl17_71), 5.88/1.33 inference(avatar_contradiction_clause,[],[f903])). 5.88/1.33 tff(f903,plain,( 5.88/1.33 $false | (spl17_5 | ~spl17_71)), 5.88/1.33 inference(resolution,[],[f898,f138])). 5.88/1.33 tff(f898,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF15)) ) | ~spl17_71), 5.88/1.33 inference(subsumption_resolution,[],[f897,f103])). 5.88/1.33 tff(f897,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF15) | member(X0,empty_set)) ) | ~spl17_71), 5.88/1.33 inference(superposition,[],[f74,f891])). 5.88/1.33 tff(f891,plain,( 5.88/1.33 empty_set = complement(sF15) | ~spl17_71), 5.88/1.33 inference(avatar_component_clause,[],[f890])). 5.88/1.33 tff(f904,plain,( 5.88/1.33 spl17_27 | ~spl17_71), 5.88/1.33 inference(avatar_contradiction_clause,[],[f902])). 5.88/1.33 tff(f902,plain,( 5.88/1.33 $false | (spl17_27 | ~spl17_71)), 5.88/1.33 inference(resolution,[],[f898,f263])). 5.88/1.33 tff(f263,plain,( 5.88/1.33 ~member(sK2,sF15) | spl17_27), 5.88/1.33 inference(avatar_component_clause,[],[f262])). 5.88/1.33 tff(f262,plain,( 5.88/1.33 spl17_27 <=> member(sK2,sF15)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_27])])). 5.88/1.33 tff(f895,plain,( 5.88/1.33 spl17_71 | ~spl17_72 | ~spl17_16), 5.88/1.33 inference(avatar_split_clause,[],[f362,f182,f893,f890])). 5.88/1.33 tff(f362,plain,( 5.88/1.33 empty_set = complement(sF15) | ~member(sK0(complement(sF15)),sF8) | ~spl17_16), 5.88/1.33 inference(resolution,[],[f210,f253])). 5.88/1.33 tff(f879,plain,( 5.88/1.33 spl17_70 | ~spl17_15 | ~spl17_67 | spl17_69), 5.88/1.33 inference(avatar_split_clause,[],[f872,f868,f853,f178,f877])). 5.88/1.33 tff(f877,plain,( 5.88/1.33 spl17_70 <=> member(sK0(empty_set),sF11)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_70])])). 5.88/1.33 tff(f853,plain,( 5.88/1.33 spl17_67 <=> empty_set = complement(sF13)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_67])])). 5.88/1.33 tff(f868,plain,( 5.88/1.33 spl17_69 <=> member(sK0(empty_set),sF12)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_69])])). 5.88/1.33 tff(f872,plain,( 5.88/1.33 member(sK0(empty_set),sF11) | (~spl17_15 | ~spl17_67 | spl17_69)), 5.88/1.33 inference(subsumption_resolution,[],[f871,f864])). 5.88/1.33 tff(f864,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF13)) ) | ~spl17_67), 5.88/1.33 inference(subsumption_resolution,[],[f863,f103])). 5.88/1.33 tff(f863,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF13) | member(X0,empty_set)) ) | ~spl17_67), 5.88/1.33 inference(superposition,[],[f74,f854])). 5.88/1.33 tff(f854,plain,( 5.88/1.33 empty_set = complement(sF13) | ~spl17_67), 5.88/1.33 inference(avatar_component_clause,[],[f853])). 5.88/1.33 tff(f871,plain,( 5.88/1.33 member(sK0(empty_set),sF11) | ~member(sK0(empty_set),sF13) | (~spl17_15 | spl17_69)), 5.88/1.33 inference(resolution,[],[f869,f284])). 5.88/1.33 tff(f284,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF12) | ~member(X0,sF13) | member(X0,sF11)) ) | ~spl17_15), 5.88/1.33 inference(superposition,[],[f100,f179])). 5.88/1.33 tff(f869,plain,( 5.88/1.33 ~member(sK0(empty_set),sF12) | spl17_69), 5.88/1.33 inference(avatar_component_clause,[],[f868])). 5.88/1.33 tff(f870,plain,( 5.88/1.33 ~spl17_69 | spl17_66 | ~spl17_67), 5.88/1.33 inference(avatar_split_clause,[],[f861,f853,f850,f868])). 5.88/1.33 tff(f850,plain,( 5.88/1.33 spl17_66 <=> member(sK0(complement(sF13)),sF12)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_66])])). 5.88/1.33 tff(f861,plain,( 5.88/1.33 ~member(sK0(empty_set),sF12) | (spl17_66 | ~spl17_67)), 5.88/1.33 inference(backward_demodulation,[],[f851,f854])). 5.88/1.33 tff(f851,plain,( 5.88/1.33 ~member(sK0(complement(sF13)),sF12) | spl17_66), 5.88/1.33 inference(avatar_component_clause,[],[f850])). 5.88/1.33 tff(f860,plain,( 5.88/1.33 spl17_67 | ~spl17_68 | ~spl17_15), 5.88/1.33 inference(avatar_split_clause,[],[f361,f178,f858,f853])). 5.88/1.33 tff(f361,plain,( 5.88/1.33 ~member(sK0(complement(sF13)),sF11) | empty_set = complement(sF13) | ~spl17_15), 5.88/1.33 inference(resolution,[],[f210,f245])). 5.88/1.33 tff(f855,plain,( 5.88/1.33 ~spl17_66 | spl17_67 | ~spl17_15), 5.88/1.33 inference(avatar_split_clause,[],[f360,f178,f853,f850])). 5.88/1.33 tff(f360,plain,( 5.88/1.33 ~member(sK0(complement(sF13)),sF12) | empty_set = complement(sF13) | ~spl17_15), 5.88/1.33 inference(resolution,[],[f210,f256])). 5.88/1.33 tff(f848,plain,( 5.88/1.33 ~spl17_58 | ~spl17_7 | ~spl17_13 | spl17_57), 5.88/1.33 inference(avatar_split_clause,[],[f846,f789,f170,f145,f792])). 5.88/1.33 tff(f846,plain,( 5.88/1.33 empty_set != intersection(sK5,sF8) | (~spl17_7 | ~spl17_13 | spl17_57)), 5.88/1.33 inference(subsumption_resolution,[],[f328,f790])). 5.88/1.33 tff(f328,plain,( 5.88/1.33 empty_set != intersection(sK5,sF8) | cardinality(sF9) = $sum(sF6,cardinality(sF8)) | (~spl17_7 | ~spl17_13)), 5.88/1.33 inference(forward_demodulation,[],[f318,f146])). 5.88/1.33 tff(f318,plain,( 5.88/1.33 $sum(cardinality(sK5),cardinality(sF8)) = cardinality(sF9) | empty_set != intersection(sK5,sF8) | ~spl17_13), 5.88/1.33 inference(superposition,[],[f99,f171])). 5.88/1.33 tff(f845,plain,( 5.88/1.33 ~spl17_60 | ~spl17_11 | ~spl17_15 | spl17_59), 5.88/1.33 inference(avatar_split_clause,[],[f843,f796,f178,f161,f799])). 5.88/1.33 tff(f161,plain,( 5.88/1.33 spl17_11 <=> cardinality(sF13) = sF14), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_11])])). 5.88/1.33 tff(f843,plain,( 5.88/1.33 empty_set != intersection(sF11,sF12) | (~spl17_11 | ~spl17_15 | spl17_59)), 5.88/1.33 inference(subsumption_resolution,[],[f327,f797])). 5.88/1.33 tff(f327,plain,( 5.88/1.33 empty_set != intersection(sF11,sF12) | sF14 = $sum(cardinality(sF11),cardinality(sF12)) | (~spl17_11 | ~spl17_15)), 5.88/1.33 inference(forward_demodulation,[],[f320,f162])). 5.88/1.33 tff(f162,plain,( 5.88/1.33 cardinality(sF13) = sF14 | ~spl17_11), 5.88/1.33 inference(avatar_component_clause,[],[f161])). 5.88/1.33 tff(f320,plain,( 5.88/1.33 empty_set != intersection(sF11,sF12) | cardinality(sF13) = $sum(cardinality(sF11),cardinality(sF12)) | ~spl17_15), 5.88/1.33 inference(superposition,[],[f99,f179])). 5.88/1.33 tff(f842,plain,( 5.88/1.33 ~spl17_65 | ~spl17_13 | spl17_63), 5.88/1.33 inference(avatar_split_clause,[],[f826,f821,f170,f840])). 5.88/1.33 tff(f840,plain,( 5.88/1.33 spl17_65 <=> member(sK0(complement(sF11)),sK5)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_65])])). 5.88/1.33 tff(f826,plain,( 5.88/1.33 ~member(sK0(complement(sF11)),sK5) | (~spl17_13 | spl17_63)), 5.88/1.33 inference(resolution,[],[f822,f243])). 5.88/1.33 tff(f837,plain,( 5.88/1.33 spl17_56 | ~spl17_17 | ~spl17_55), 5.88/1.33 inference(avatar_split_clause,[],[f835,f761,f186,f764])). 5.88/1.33 tff(f835,plain,( 5.88/1.33 $sum(cardinality(sF15),cardinality(sF10)) = cardinality(sF16) | (~spl17_17 | ~spl17_55)), 5.88/1.33 inference(subsumption_resolution,[],[f321,f762])). 5.88/1.33 tff(f762,plain,( 5.88/1.33 empty_set = intersection(sF15,sF10) | ~spl17_55), 5.88/1.33 inference(avatar_component_clause,[],[f761])). 5.88/1.33 tff(f321,plain,( 5.88/1.33 $sum(cardinality(sF15),cardinality(sF10)) = cardinality(sF16) | empty_set != intersection(sF15,sF10) | ~spl17_17), 5.88/1.33 inference(superposition,[],[f99,f187])). 5.88/1.33 tff(f832,plain,( 5.88/1.33 ~spl17_64 | ~spl17_13 | spl17_63), 5.88/1.33 inference(avatar_split_clause,[],[f825,f821,f170,f830])). 5.88/1.33 tff(f830,plain,( 5.88/1.33 spl17_64 <=> member(sK0(complement(sF11)),sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_64])])). 5.88/1.33 tff(f825,plain,( 5.88/1.33 ~member(sK0(complement(sF11)),sF8) | (~spl17_13 | spl17_63)), 5.88/1.33 inference(resolution,[],[f822,f254])). 5.88/1.33 tff(f828,plain,( 5.88/1.33 ~spl17_54 | ~spl17_14 | spl17_53), 5.88/1.33 inference(avatar_split_clause,[],[f824,f747,f174,f750])). 5.88/1.33 tff(f824,plain,( 5.88/1.33 empty_set != intersection(sF9,sF10) | (~spl17_14 | spl17_53)), 5.88/1.33 inference(subsumption_resolution,[],[f319,f748])). 5.88/1.33 tff(f319,plain,( 5.88/1.33 empty_set != intersection(sF9,sF10) | $sum(cardinality(sF9),cardinality(sF10)) = cardinality(sF11) | ~spl17_14), 5.88/1.33 inference(superposition,[],[f99,f175])). 5.88/1.33 tff(f823,plain,( 5.88/1.33 ~spl17_63 | spl17_51 | ~spl17_14), 5.88/1.33 inference(avatar_split_clause,[],[f359,f174,f740,f821])). 5.88/1.33 tff(f740,plain,( 5.88/1.33 spl17_51 <=> empty_set = complement(sF11)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_51])])). 5.88/1.33 tff(f359,plain,( 5.88/1.33 ~member(sK0(complement(sF11)),sF9) | empty_set = complement(sF11) | ~spl17_14), 5.88/1.33 inference(resolution,[],[f210,f244])). 5.88/1.33 tff(f818,plain,( 5.88/1.33 ~spl17_61 | spl17_62 | ~spl17_55), 5.88/1.33 inference(avatar_split_clause,[],[f777,f761,f816,f813])). 5.88/1.33 tff(f777,plain,( 5.88/1.33 ~member(sK0(sF15),sF10) | empty_set = sF15 | ~spl17_55), 5.88/1.33 inference(resolution,[],[f772,f72])). 5.88/1.33 tff(f772,plain,( 5.88/1.33 ( ! [X0 : element] : (~member(X0,sF15) | ~member(X0,sF10)) ) | ~spl17_55), 5.88/1.33 inference(subsumption_resolution,[],[f768,f103])). 5.88/1.33 tff(f768,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF15) | ~member(X0,sF10)) ) | ~spl17_55), 5.88/1.33 inference(superposition,[],[f87,f762])). 5.88/1.33 tff(f87,plain,( 5.88/1.33 ( ! [X2 : set,X0 : set,X1 : element] : (member(X1,intersection(X0,X2)) | ~member(X1,X0) | ~member(X1,X2)) )), 5.88/1.33 inference(cnf_transformation,[],[f56])). 5.88/1.33 tff(f811,plain,( 5.88/1.33 ~spl17_49 | ~spl17_16 | spl17_50), 5.88/1.33 inference(avatar_split_clause,[],[f809,f724,f182,f721])). 5.88/1.33 tff(f809,plain,( 5.88/1.33 empty_set != intersection(sK1,sF8) | (~spl17_16 | spl17_50)), 5.88/1.33 inference(subsumption_resolution,[],[f317,f725])). 5.88/1.33 tff(f801,plain,( 5.88/1.33 ~spl17_59 | spl17_60 | ~spl17_11 | ~spl17_15), 5.88/1.33 inference(avatar_split_clause,[],[f308,f178,f161,f799,f796])). 5.88/1.33 tff(f308,plain,( 5.88/1.33 empty_set = intersection(sF11,sF12) | sF14 != $sum(cardinality(sF11),cardinality(sF12)) | (~spl17_11 | ~spl17_15)), 5.88/1.33 inference(forward_demodulation,[],[f304,f162])). 5.88/1.33 tff(f304,plain,( 5.88/1.33 empty_set = intersection(sF11,sF12) | cardinality(sF13) != $sum(cardinality(sF11),cardinality(sF12)) | ~spl17_15), 5.88/1.33 inference(superposition,[],[f98,f179])). 5.88/1.33 tff(f98,plain,( 5.88/1.33 ( ! [X0 : set,X1 : set] : (cardinality(union(X1,X0)) != $sum(cardinality(X1),cardinality(X0)) | empty_set = intersection(X1,X0)) )), 5.88/1.33 inference(cnf_transformation,[],[f68])). 5.88/1.33 tff(f794,plain,( 5.88/1.33 ~spl17_57 | spl17_58 | ~spl17_7 | ~spl17_13), 5.88/1.33 inference(avatar_split_clause,[],[f307,f170,f145,f792,f789])). 5.88/1.33 tff(f307,plain,( 5.88/1.33 cardinality(sF9) != $sum(sF6,cardinality(sF8)) | empty_set = intersection(sK5,sF8) | (~spl17_7 | ~spl17_13)), 5.88/1.33 inference(forward_demodulation,[],[f302,f146])). 5.88/1.33 tff(f302,plain,( 5.88/1.33 empty_set = intersection(sK5,sF8) | $sum(cardinality(sK5),cardinality(sF8)) != cardinality(sF9) | ~spl17_13), 5.88/1.33 inference(superposition,[],[f98,f171])). 5.88/1.33 tff(f766,plain,( 5.88/1.33 spl17_55 | ~spl17_56 | ~spl17_17), 5.88/1.33 inference(avatar_split_clause,[],[f305,f186,f764,f761])). 5.88/1.33 tff(f305,plain,( 5.88/1.33 $sum(cardinality(sF15),cardinality(sF10)) != cardinality(sF16) | empty_set = intersection(sF15,sF10) | ~spl17_17), 5.88/1.33 inference(superposition,[],[f98,f187])). 5.88/1.33 tff(f759,plain,( 5.88/1.33 spl17_41 | ~spl17_51), 5.88/1.33 inference(avatar_contradiction_clause,[],[f758])). 5.88/1.33 tff(f758,plain,( 5.88/1.33 $false | (spl17_41 | ~spl17_51)), 5.88/1.33 inference(resolution,[],[f755,f631])). 5.88/1.33 tff(f755,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF11)) ) | ~spl17_51), 5.88/1.33 inference(subsumption_resolution,[],[f754,f103])). 5.88/1.33 tff(f754,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF11) | member(X0,empty_set)) ) | ~spl17_51), 5.88/1.33 inference(superposition,[],[f74,f741])). 5.88/1.33 tff(f741,plain,( 5.88/1.33 empty_set = complement(sF11) | ~spl17_51), 5.88/1.33 inference(avatar_component_clause,[],[f740])). 5.88/1.33 tff(f752,plain,( 5.88/1.33 ~spl17_53 | spl17_54 | ~spl17_14), 5.88/1.33 inference(avatar_split_clause,[],[f303,f174,f750,f747])). 5.88/1.33 tff(f303,plain,( 5.88/1.33 empty_set = intersection(sF9,sF10) | $sum(cardinality(sF9),cardinality(sF10)) != cardinality(sF11) | ~spl17_14), 5.88/1.33 inference(superposition,[],[f98,f175])). 5.88/1.33 tff(f745,plain,( 5.88/1.33 spl17_51 | ~spl17_52 | ~spl17_14), 5.88/1.33 inference(avatar_split_clause,[],[f358,f174,f743,f740])). 5.88/1.33 tff(f358,plain,( 5.88/1.33 empty_set = complement(sF11) | ~member(sK0(complement(sF11)),sF10) | ~spl17_14), 5.88/1.33 inference(resolution,[],[f210,f255])). 5.88/1.33 tff(f736,plain,( 5.88/1.33 spl17_35 | ~spl17_47), 5.88/1.33 inference(avatar_contradiction_clause,[],[f734])). 5.88/1.33 tff(f734,plain,( 5.88/1.33 $false | (spl17_35 | ~spl17_47)), 5.88/1.33 inference(resolution,[],[f730,f483])). 5.88/1.33 tff(f730,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF9)) ) | ~spl17_47), 5.88/1.33 inference(subsumption_resolution,[],[f729,f103])). 5.88/1.33 tff(f729,plain,( 5.88/1.33 ( ! [X0 : element] : (member(X0,sF9) | member(X0,empty_set)) ) | ~spl17_47), 5.88/1.33 inference(superposition,[],[f74,f712])). 5.88/1.33 tff(f712,plain,( 5.88/1.33 empty_set = complement(sF9) | ~spl17_47), 5.88/1.33 inference(avatar_component_clause,[],[f711])). 5.88/1.33 tff(f711,plain,( 5.88/1.33 spl17_47 <=> empty_set = complement(sF9)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_47])])). 5.88/1.33 tff(f735,plain,( 5.88/1.33 spl17_36 | ~spl17_47), 5.88/1.33 inference(avatar_contradiction_clause,[],[f733])). 5.88/1.33 tff(f733,plain,( 5.88/1.33 $false | (spl17_36 | ~spl17_47)), 5.88/1.33 inference(resolution,[],[f730,f489])). 5.88/1.33 tff(f489,plain,( 5.88/1.33 ~member(sK2,sF9) | spl17_36), 5.88/1.33 inference(avatar_component_clause,[],[f488])). 5.88/1.33 tff(f488,plain,( 5.88/1.33 spl17_36 <=> member(sK2,sF9)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_36])])). 5.88/1.33 tff(f726,plain,( 5.88/1.33 spl17_49 | ~spl17_50 | ~spl17_16), 5.88/1.33 inference(avatar_split_clause,[],[f301,f182,f724,f721])). 5.88/1.33 tff(f301,plain,( 5.88/1.33 $sum(cardinality(sK1),cardinality(sF8)) != cardinality(sF15) | empty_set = intersection(sK1,sF8) | ~spl17_16), 5.88/1.33 inference(superposition,[],[f98,f183])). 5.88/1.33 tff(f719,plain,( 5.88/1.33 spl17_47 | ~spl17_48 | ~spl17_13), 5.88/1.33 inference(avatar_split_clause,[],[f357,f170,f717,f711])). 5.88/1.33 tff(f357,plain,( 5.88/1.33 ~member(sK0(complement(sF9)),sK5) | empty_set = complement(sF9) | ~spl17_13), 5.88/1.33 inference(resolution,[],[f210,f243])). 5.88/1.33 tff(f713,plain,( 5.88/1.33 ~spl17_46 | spl17_47 | ~spl17_13), 5.88/1.33 inference(avatar_split_clause,[],[f356,f170,f711,f708])). 5.88/1.33 tff(f356,plain,( 5.88/1.33 empty_set = complement(sF9) | ~member(sK0(complement(sF9)),sF8) | ~spl17_13), 5.88/1.33 inference(resolution,[],[f210,f254])). 5.88/1.33 tff(f706,plain,( 5.88/1.33 ~spl17_44 | spl17_45 | ~spl17_1), 5.88/1.33 inference(avatar_split_clause,[],[f355,f121,f704,f701])). 5.88/1.33 tff(f701,plain,( 5.88/1.33 spl17_44 <=> member(sK0(complement(sK1)),sK5)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_44])])). 5.88/1.33 tff(f704,plain,( 5.88/1.33 spl17_45 <=> empty_set = complement(sK1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_45])])). 5.88/1.33 tff(f355,plain,( 5.88/1.33 ~member(sK0(complement(sK1)),sK5) | empty_set = complement(sK1) | ~spl17_1), 5.88/1.33 inference(resolution,[],[f210,f265])). 5.88/1.33 tff(f662,plain,( 5.88/1.33 ~spl17_20 | ~spl17_42), 5.88/1.33 inference(avatar_contradiction_clause,[],[f661])). 5.88/1.33 tff(f661,plain,( 5.88/1.33 $false | (~spl17_20 | ~spl17_42)), 5.88/1.33 inference(subsumption_resolution,[],[f655,f103])). 5.88/1.33 tff(f655,plain,( 5.88/1.33 member(sK2,empty_set) | (~spl17_20 | ~spl17_42)), 5.88/1.33 inference(backward_demodulation,[],[f202,f637])). 5.88/1.33 tff(f637,plain,( 5.88/1.33 empty_set = sF12 | ~spl17_42), 5.88/1.33 inference(avatar_component_clause,[],[f636])). 5.88/1.33 tff(f202,plain,( 5.88/1.33 member(sK2,sF12) | ~spl17_20), 5.88/1.33 inference(avatar_component_clause,[],[f201])). 5.88/1.33 tff(f201,plain,( 5.88/1.33 spl17_20 <=> member(sK2,sF12)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_20])])). 5.88/1.33 tff(f641,plain,( 5.88/1.33 spl17_42 | spl17_43 | ~spl17_10), 5.88/1.33 inference(avatar_split_clause,[],[f240,f157,f639,f636])). 5.88/1.33 tff(f639,plain,( 5.88/1.33 spl17_43 <=> sK2 = sK0(sF12)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_43])])). 5.88/1.33 tff(f240,plain,( 5.88/1.33 sK2 = sK0(sF12) | empty_set = sF12 | ~spl17_10), 5.88/1.33 inference(resolution,[],[f217,f72])). 5.88/1.33 tff(f632,plain,( 5.88/1.33 ~spl17_41 | ~spl17_14 | spl17_33 | spl17_36), 5.88/1.33 inference(avatar_split_clause,[],[f624,f488,f376,f174,f630])). 5.88/1.33 tff(f376,plain,( 5.88/1.33 spl17_33 <=> member(sK2,sF10)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_33])])). 5.88/1.33 tff(f624,plain,( 5.88/1.33 ~member(sK2,sF11) | (~spl17_14 | spl17_33 | spl17_36)), 5.88/1.33 inference(subsumption_resolution,[],[f623,f489])). 5.88/1.33 tff(f623,plain,( 5.88/1.33 ~member(sK2,sF11) | member(sK2,sF9) | (~spl17_14 | spl17_33)), 5.88/1.33 inference(resolution,[],[f283,f377])). 5.88/1.33 tff(f377,plain,( 5.88/1.33 ~member(sK2,sF10) | spl17_33), 5.88/1.33 inference(avatar_component_clause,[],[f376])). 5.88/1.33 tff(f590,plain,( 5.88/1.33 ~spl17_19 | ~spl17_39), 5.88/1.33 inference(avatar_contradiction_clause,[],[f589])). 5.88/1.33 tff(f589,plain,( 5.88/1.33 $false | (~spl17_19 | ~spl17_39)), 5.88/1.33 inference(subsumption_resolution,[],[f579,f103])). 5.88/1.33 tff(f579,plain,( 5.88/1.33 member(sK4,empty_set) | (~spl17_19 | ~spl17_39)), 5.88/1.33 inference(backward_demodulation,[],[f198,f565])). 5.88/1.33 tff(f565,plain,( 5.88/1.33 empty_set = sF10 | ~spl17_39), 5.88/1.33 inference(avatar_component_clause,[],[f564])). 5.88/1.33 tff(f198,plain,( 5.88/1.33 member(sK4,sF10) | ~spl17_19), 5.88/1.33 inference(avatar_component_clause,[],[f197])). 5.88/1.33 tff(f197,plain,( 5.88/1.33 spl17_19 <=> member(sK4,sF10)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_19])])). 5.88/1.33 tff(f569,plain,( 5.88/1.33 spl17_39 | spl17_40 | ~spl17_9), 5.88/1.33 inference(avatar_split_clause,[],[f238,f153,f567,f564])). 5.88/1.33 tff(f567,plain,( 5.88/1.33 spl17_40 <=> sK4 = sK0(sF10)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_40])])). 5.88/1.33 tff(f238,plain,( 5.88/1.33 empty_set = sF10 | sK4 = sK0(sF10) | ~spl17_9), 5.88/1.33 inference(resolution,[],[f216,f72])). 5.88/1.33 tff(f519,plain,( 5.88/1.33 ~spl17_18 | ~spl17_37), 5.88/1.33 inference(avatar_contradiction_clause,[],[f518])). 5.88/1.33 tff(f518,plain,( 5.88/1.33 $false | (~spl17_18 | ~spl17_37)), 5.88/1.33 inference(subsumption_resolution,[],[f503,f103])). 5.88/1.33 tff(f503,plain,( 5.88/1.33 member(sK3,empty_set) | (~spl17_18 | ~spl17_37)), 5.88/1.33 inference(backward_demodulation,[],[f193,f495])). 5.88/1.33 tff(f495,plain,( 5.88/1.33 empty_set = sF8 | ~spl17_37), 5.88/1.33 inference(avatar_component_clause,[],[f494])). 5.88/1.33 tff(f499,plain,( 5.88/1.33 spl17_37 | spl17_38 | ~spl17_8), 5.88/1.33 inference(avatar_split_clause,[],[f233,f149,f497,f494])). 5.88/1.33 tff(f497,plain,( 5.88/1.33 spl17_38 <=> sK3 = sK0(sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_38])])). 5.88/1.33 tff(f233,plain,( 5.88/1.33 empty_set = sF8 | sK3 = sK0(sF8) | ~spl17_8), 5.88/1.33 inference(resolution,[],[f215,f72])). 5.88/1.33 tff(f490,plain,( 5.88/1.33 ~spl17_36 | ~spl17_13 | spl17_31 | spl17_34), 5.88/1.33 inference(avatar_split_clause,[],[f392,f380,f314,f170,f488])). 5.88/1.33 tff(f314,plain,( 5.88/1.33 spl17_31 <=> member(sK2,sK5)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_31])])). 5.88/1.33 tff(f380,plain,( 5.88/1.33 spl17_34 <=> member(sK2,sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_34])])). 5.88/1.33 tff(f392,plain,( 5.88/1.33 ~member(sK2,sF9) | (~spl17_13 | spl17_31 | spl17_34)), 5.88/1.33 inference(subsumption_resolution,[],[f389,f315])). 5.88/1.33 tff(f315,plain,( 5.88/1.33 ~member(sK2,sK5) | spl17_31), 5.88/1.33 inference(avatar_component_clause,[],[f314])). 5.88/1.33 tff(f389,plain,( 5.88/1.33 ~member(sK2,sF9) | member(sK2,sK5) | (~spl17_13 | spl17_34)), 5.88/1.33 inference(resolution,[],[f282,f381])). 5.88/1.33 tff(f381,plain,( 5.88/1.33 ~member(sK2,sF8) | spl17_34), 5.88/1.33 inference(avatar_component_clause,[],[f380])). 5.88/1.33 tff(f484,plain,( 5.88/1.33 ~spl17_35 | ~spl17_13 | spl17_30 | spl17_32), 5.88/1.33 inference(avatar_split_clause,[],[f391,f367,f310,f170,f482])). 5.88/1.33 tff(f310,plain,( 5.88/1.33 spl17_30 <=> member(sK4,sK5)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_30])])). 5.88/1.33 tff(f367,plain,( 5.88/1.33 spl17_32 <=> member(sK4,sF8)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_32])])). 5.88/1.33 tff(f391,plain,( 5.88/1.33 ~member(sK4,sF9) | (~spl17_13 | spl17_30 | spl17_32)), 5.88/1.33 inference(subsumption_resolution,[],[f390,f311])). 5.88/1.33 tff(f311,plain,( 5.88/1.33 ~member(sK4,sK5) | spl17_30), 5.88/1.33 inference(avatar_component_clause,[],[f310])). 5.88/1.33 tff(f390,plain,( 5.88/1.33 member(sK4,sK5) | ~member(sK4,sF9) | (~spl17_13 | spl17_32)), 5.88/1.33 inference(resolution,[],[f282,f368])). 5.88/1.33 tff(f368,plain,( 5.88/1.33 ~member(sK4,sF8) | spl17_32), 5.88/1.33 inference(avatar_component_clause,[],[f367])). 5.88/1.33 tff(f382,plain,( 5.88/1.33 ~spl17_34 | ~spl17_16 | spl17_27), 5.88/1.33 inference(avatar_split_clause,[],[f347,f262,f182,f380])). 5.88/1.33 tff(f347,plain,( 5.88/1.33 ~member(sK2,sF8) | (~spl17_16 | spl17_27)), 5.88/1.33 inference(resolution,[],[f253,f263])). 5.88/1.33 tff(f378,plain,( 5.88/1.33 ~spl17_33 | spl17_4 | ~spl17_17), 5.88/1.33 inference(avatar_split_clause,[],[f349,f186,f133,f376])). 5.88/1.33 tff(f349,plain,( 5.88/1.33 ~member(sK2,sF10) | (spl17_4 | ~spl17_17)), 5.88/1.33 inference(resolution,[],[f257,f134])). 5.88/1.33 tff(f369,plain,( 5.88/1.33 ~spl17_32 | spl17_5 | ~spl17_16), 5.88/1.33 inference(avatar_split_clause,[],[f348,f182,f137,f367])). 5.88/1.33 tff(f348,plain,( 5.88/1.33 ~member(sK4,sF8) | (spl17_5 | ~spl17_16)), 5.88/1.33 inference(resolution,[],[f253,f138])). 5.88/1.33 tff(f316,plain,( 5.88/1.33 ~spl17_31 | ~spl17_1 | spl17_28), 5.88/1.33 inference(avatar_split_clause,[],[f286,f271,f121,f314])). 5.88/1.33 tff(f271,plain,( 5.88/1.33 spl17_28 <=> member(sK2,sK1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_28])])). 5.88/1.33 tff(f286,plain,( 5.88/1.33 ~member(sK2,sK5) | (~spl17_1 | spl17_28)), 5.88/1.33 inference(resolution,[],[f265,f272])). 5.88/1.33 tff(f272,plain,( 5.88/1.33 ~member(sK2,sK1) | spl17_28), 5.88/1.33 inference(avatar_component_clause,[],[f271])). 5.88/1.33 tff(f312,plain,( 5.88/1.33 ~spl17_30 | ~spl17_1 | spl17_26), 5.88/1.33 inference(avatar_split_clause,[],[f288,f249,f121,f310])). 5.88/1.33 tff(f249,plain,( 5.88/1.33 spl17_26 <=> member(sK4,sK1)), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_26])])). 5.88/1.33 tff(f288,plain,( 5.88/1.33 ~member(sK4,sK5) | (~spl17_1 | spl17_26)), 5.88/1.33 inference(resolution,[],[f265,f250])). 5.88/1.33 tff(f250,plain,( 5.88/1.33 ~member(sK4,sK1) | spl17_26), 5.88/1.33 inference(avatar_component_clause,[],[f249])). 5.88/1.33 tff(f300,plain,( 5.88/1.33 ~spl17_29 | ~spl17_1 | spl17_2), 5.88/1.33 inference(avatar_split_clause,[],[f287,f125,f121,f298])). 5.88/1.33 tff(f287,plain,( 5.88/1.33 ~member(sK3,sK5) | (~spl17_1 | spl17_2)), 5.88/1.33 inference(resolution,[],[f265,f126])). 5.88/1.33 tff(f273,plain,( 5.88/1.33 ~spl17_28 | ~spl17_16 | spl17_27), 5.88/1.33 inference(avatar_split_clause,[],[f268,f262,f182,f271])). 5.88/1.33 tff(f268,plain,( 5.88/1.33 ~member(sK2,sK1) | (~spl17_16 | spl17_27)), 5.88/1.33 inference(resolution,[],[f263,f242])). 5.88/1.33 tff(f264,plain,( 5.88/1.33 ~spl17_27 | spl17_4 | ~spl17_17), 5.88/1.33 inference(avatar_split_clause,[],[f252,f186,f133,f262])). 5.88/1.33 tff(f252,plain,( 5.88/1.33 ~member(sK2,sF15) | (spl17_4 | ~spl17_17)), 5.88/1.33 inference(resolution,[],[f246,f134])). 5.88/1.33 tff(f251,plain,( 5.88/1.33 ~spl17_26 | spl17_5 | ~spl17_16), 5.88/1.33 inference(avatar_split_clause,[],[f247,f182,f137,f249])). 5.88/1.33 tff(f247,plain,( 5.88/1.33 ~member(sK4,sK1) | (spl17_5 | ~spl17_16)), 5.88/1.33 inference(resolution,[],[f242,f138])). 5.88/1.33 tff(f232,plain,( 5.88/1.33 ~spl17_24 | spl17_25 | ~spl17_11), 5.88/1.33 inference(avatar_split_clause,[],[f212,f161,f230,f227])). 5.88/1.33 tff(f227,plain,( 5.88/1.33 spl17_24 <=> 0 = sF14), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_24])])). 5.88/1.33 tff(f230,plain,( 5.88/1.33 spl17_25 <=> empty_set = sF13), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_25])])). 5.88/1.33 tff(f212,plain,( 5.88/1.33 empty_set = sF13 | 0 != sF14 | ~spl17_11), 5.88/1.33 inference(superposition,[],[f77,f162])). 5.88/1.33 tff(f225,plain,( 5.88/1.33 ~spl17_22 | spl17_23 | ~spl17_7), 5.88/1.33 inference(avatar_split_clause,[],[f211,f145,f223,f220])). 5.88/1.33 tff(f220,plain,( 5.88/1.33 spl17_22 <=> 0 = sF6), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_22])])). 5.88/1.33 tff(f223,plain,( 5.88/1.33 spl17_23 <=> empty_set = sK5), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_23])])). 5.88/1.33 tff(f211,plain,( 5.88/1.33 0 != sF6 | empty_set = sK5 | ~spl17_7), 5.88/1.33 inference(superposition,[],[f77,f146])). 5.88/1.33 tff(f207,plain,( 5.88/1.33 ~spl17_21 | spl17_3), 5.88/1.33 inference(avatar_split_clause,[],[f164,f129,f205])). 5.88/1.33 tff(f205,plain,( 5.88/1.33 spl17_21 <=> $sum(sF6,3) = sF14), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_21])])). 5.88/1.33 tff(f129,plain,( 5.88/1.33 spl17_3 <=> sF7 = sF14), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_3])])). 5.88/1.33 tff(f164,plain,( 5.88/1.33 $sum(sF6,3) != sF14 | spl17_3), 5.88/1.33 inference(backward_demodulation,[],[f130,f107])). 5.88/1.33 tff(f107,plain,( 5.88/1.33 $sum(sF6,3) = sF7), 5.88/1.33 introduced(function_definition,[new_symbols(definition,[sF7])])). 5.88/1.33 tff(f130,plain,( 5.88/1.33 sF7 != sF14 | spl17_3), 5.88/1.33 inference(avatar_component_clause,[],[f129])). 5.88/1.33 tff(f203,plain,( 5.88/1.33 spl17_20 | ~spl17_10), 5.88/1.33 inference(avatar_split_clause,[],[f195,f157,f201])). 5.88/1.33 tff(f195,plain,( 5.88/1.33 member(sK2,sF12) | ~spl17_10), 5.88/1.33 inference(superposition,[],[f105,f158])). 5.88/1.33 tff(f105,plain,( 5.88/1.33 ( ! [X1 : element] : (member(X1,singleton(X1))) )), 5.88/1.33 inference(equality_resolution,[],[f94])). 5.88/1.33 tff(f94,plain,( 5.88/1.33 ( ! [X0 : element,X1 : element] : (member(X0,singleton(X1)) | X0 != X1) )), 5.88/1.33 inference(cnf_transformation,[],[f63])). 5.88/1.33 tff(f199,plain,( 5.88/1.33 spl17_19 | ~spl17_9), 5.88/1.33 inference(avatar_split_clause,[],[f190,f153,f197])). 5.88/1.33 tff(f190,plain,( 5.88/1.33 member(sK4,sF10) | ~spl17_9), 5.88/1.33 inference(superposition,[],[f105,f154])). 5.88/1.33 tff(f194,plain,( 5.88/1.33 spl17_18 | ~spl17_8), 5.88/1.33 inference(avatar_split_clause,[],[f189,f149,f192])). 5.88/1.33 tff(f189,plain,( 5.88/1.33 member(sK3,sF8) | ~spl17_8), 5.88/1.33 inference(superposition,[],[f105,f150])). 5.88/1.33 tff(f188,plain,( 5.88/1.33 spl17_17), 5.88/1.33 inference(avatar_split_clause,[],[f117,f186])). 5.88/1.33 tff(f117,plain,( 5.88/1.33 union(sF15,sF10) = sF16), 5.88/1.33 introduced(function_definition,[new_symbols(definition,[sF16])])). 5.88/1.33 tff(f184,plain,( 5.88/1.33 spl17_16), 5.88/1.33 inference(avatar_split_clause,[],[f116,f182])). 5.88/1.33 tff(f116,plain,( 5.88/1.33 union(sK1,sF8) = sF15), 5.88/1.33 introduced(function_definition,[new_symbols(definition,[sF15])])). 5.88/1.33 tff(f180,plain,( 5.88/1.33 spl17_15), 5.88/1.33 inference(avatar_split_clause,[],[f113,f178])). 5.88/1.33 tff(f113,plain,( 5.88/1.33 union(sF11,sF12) = sF13), 5.88/1.33 introduced(function_definition,[new_symbols(definition,[sF13])])). 5.88/1.33 tff(f176,plain,( 5.88/1.33 spl17_14), 5.88/1.33 inference(avatar_split_clause,[],[f111,f174])). 5.88/1.33 tff(f111,plain,( 5.88/1.33 union(sF9,sF10) = sF11), 5.88/1.33 introduced(function_definition,[new_symbols(definition,[sF11])])). 5.88/1.33 tff(f172,plain,( 5.88/1.33 spl17_13), 5.88/1.33 inference(avatar_split_clause,[],[f109,f170])). 5.88/1.33 tff(f109,plain,( 5.88/1.33 union(sK5,sF8) = sF9), 5.88/1.33 introduced(function_definition,[new_symbols(definition,[sF9])])). 5.88/1.33 tff(f168,plain,( 5.88/1.33 spl17_12), 5.88/1.33 inference(avatar_split_clause,[],[f107,f166])). 5.88/1.33 tff(f166,plain,( 5.88/1.33 spl17_12 <=> $sum(sF6,3) = sF7), 5.88/1.33 introduced(avatar_definition,[new_symbols(naming,[spl17_12])])). 5.88/1.33 tff(f163,plain,( 5.88/1.33 spl17_11), 5.88/1.33 inference(avatar_split_clause,[],[f114,f161])). 5.88/1.33 tff(f114,plain,( 5.88/1.33 cardinality(sF13) = sF14), 5.88/1.33 introduced(function_definition,[new_symbols(definition,[sF14])])). 5.88/1.33 tff(f159,plain,( 5.88/1.33 spl17_10), 5.88/1.33 inference(avatar_split_clause,[],[f112,f157])). 5.88/1.33 tff(f112,plain,( 5.88/1.33 singleton(sK2) = sF12), 5.88/1.33 introduced(function_definition,[new_symbols(definition,[sF12])])). 5.88/1.33 tff(f155,plain,( 5.88/1.33 spl17_9), 5.88/1.33 inference(avatar_split_clause,[],[f110,f153])). 5.88/1.33 tff(f110,plain,( 5.88/1.33 singleton(sK4) = sF10), 5.88/1.33 introduced(function_definition,[new_symbols(definition,[sF10])])). 5.88/1.33 tff(f151,plain,( 5.88/1.33 spl17_8), 5.88/1.33 inference(avatar_split_clause,[],[f108,f149])). 5.88/1.33 tff(f108,plain,( 5.88/1.33 singleton(sK3) = sF8), 5.88/1.33 introduced(function_definition,[new_symbols(definition,[sF8])])). 5.88/1.33 tff(f147,plain,( 5.88/1.33 spl17_7), 5.88/1.33 inference(avatar_split_clause,[],[f106,f145])). 5.88/1.33 tff(f106,plain,( 5.88/1.33 cardinality(sK5) = sF6), 5.88/1.33 introduced(function_definition,[new_symbols(definition,[sF6])])). 5.88/1.33 tff(f143,plain,( 5.88/1.33 spl17_6), 5.88/1.33 inference(avatar_split_clause,[],[f104,f141])). 5.88/1.33 tff(f104,plain,( 5.88/1.33 0 = cardinality(empty_set)), 5.88/1.33 inference(equality_resolution,[],[f76])). 5.88/1.33 tff(f76,plain,( 5.88/1.33 ( ! [X0 : set] : (0 = cardinality(X0) | empty_set != X0) )), 5.88/1.33 inference(cnf_transformation,[],[f49])). 5.88/1.33 tff(f139,plain,( 5.88/1.33 ~spl17_5), 5.88/1.33 inference(avatar_split_clause,[],[f119,f137])). 5.88/1.33 tff(f119,plain,( 5.88/1.33 ~member(sK4,sF15)), 5.88/1.33 inference(definition_folding,[],[f80,f116,f108])). 5.88/1.33 tff(f80,plain,( 5.88/1.33 ~member(sK4,union(sK1,singleton(sK3)))), 5.88/1.33 inference(cnf_transformation,[],[f53])). 5.88/1.33 tff(f53,plain,( 5.88/1.33 $sum(cardinality(sK5),3) != cardinality(union(union(union(sK5,singleton(sK3)),singleton(sK4)),singleton(sK2))) & ~member(sK3,sK1) & ~member(sK2,union(union(sK1,singleton(sK3)),singleton(sK4))) & subset(sK5,sK1) & ~member(sK4,union(sK1,singleton(sK3)))), 5.88/1.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f51,f52])). 5.88/1.33 tff(f52,plain,( 5.88/1.33 ? [X0 : set,X1 : element,X2 : element,X3 : element,X4 : set] : ($sum(cardinality(X4),3) != cardinality(union(union(union(X4,singleton(X2)),singleton(X3)),singleton(X1))) & ~member(X2,X0) & ~member(X1,union(union(X0,singleton(X2)),singleton(X3))) & subset(X4,X0) & ~member(X3,union(X0,singleton(X2)))) => ($sum(cardinality(sK5),3) != cardinality(union(union(union(sK5,singleton(sK3)),singleton(sK4)),singleton(sK2))) & ~member(sK3,sK1) & ~member(sK2,union(union(sK1,singleton(sK3)),singleton(sK4))) & subset(sK5,sK1) & ~member(sK4,union(sK1,singleton(sK3))))), 5.88/1.33 introduced(choice_axiom,[])). 5.88/1.33 tff(f51,plain,( 5.88/1.33 ? [X0 : set,X1 : element,X2 : element,X3 : element,X4 : set] : ($sum(cardinality(X4),3) != cardinality(union(union(union(X4,singleton(X2)),singleton(X3)),singleton(X1))) & ~member(X2,X0) & ~member(X1,union(union(X0,singleton(X2)),singleton(X3))) & subset(X4,X0) & ~member(X3,union(X0,singleton(X2))))), 5.88/1.33 inference(rectify,[],[f43])). 5.88/1.33 tff(f43,plain,( 5.88/1.33 ? [X2 : set,X3 : element,X4 : element,X0 : element,X1 : set] : (cardinality(union(union(union(X1,singleton(X4)),singleton(X0)),singleton(X3))) != $sum(cardinality(X1),3) & ~member(X4,X2) & ~member(X3,union(union(X2,singleton(X4)),singleton(X0))) & subset(X1,X2) & ~member(X0,union(X2,singleton(X4))))), 5.88/1.33 inference(flattening,[],[f42])). 5.88/1.33 tff(f42,plain,( 5.88/1.33 ? [X4 : element,X1 : set,X2 : set,X3 : element,X0 : element] : (cardinality(union(union(union(X1,singleton(X4)),singleton(X0)),singleton(X3))) != $sum(cardinality(X1),3) & (~member(X3,union(union(X2,singleton(X4)),singleton(X0))) & subset(X1,X2) & ~member(X4,X2) & ~member(X0,union(X2,singleton(X4)))))), 5.88/1.33 inference(ennf_transformation,[],[f36])). 5.88/1.33 tff(f36,plain,( 5.88/1.33 ~! [X4 : element,X1 : set,X2 : set,X3 : element,X0 : element] : ((~member(X3,union(union(X2,singleton(X4)),singleton(X0))) & subset(X1,X2) & ~member(X4,X2) & ~member(X0,union(X2,singleton(X4)))) => cardinality(union(union(union(X1,singleton(X4)),singleton(X0)),singleton(X3))) = $sum(cardinality(X1),3))), 5.88/1.33 inference(rectify,[],[f4])). 5.88/1.33 tff(f4,negated_conjecture,( 5.88/1.33 ~! [X6 : element,X4 : set,X1 : set,X7 : element,X5 : element] : ((~member(X7,union(union(X1,singleton(X5)),singleton(X6))) & ~member(X6,union(X1,singleton(X5))) & subset(X4,X1) & ~member(X5,X1)) => cardinality(union(union(union(X4,singleton(X5)),singleton(X6)),singleton(X7))) = $sum(cardinality(X4),3))), 5.88/1.33 inference(negated_conjecture,[],[f3])). 5.88/1.33 tff(f3,conjecture,( 5.88/1.33 ! [X6 : element,X4 : set,X1 : set,X7 : element,X5 : element] : ((~member(X7,union(union(X1,singleton(X5)),singleton(X6))) & ~member(X6,union(X1,singleton(X5))) & subset(X4,X1) & ~member(X5,X1)) => cardinality(union(union(union(X4,singleton(X5)),singleton(X6)),singleton(X7))) = $sum(cardinality(X4),3))), 5.88/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 5.88/1.33 tff(f135,plain,( 5.88/1.33 ~spl17_4), 5.88/1.33 inference(avatar_split_clause,[],[f118,f133])). 5.88/1.33 tff(f118,plain,( 5.88/1.33 ~member(sK2,sF16)), 5.88/1.33 inference(definition_folding,[],[f82,f117,f110,f116,f108])). 5.88/1.33 tff(f82,plain,( 5.88/1.33 ~member(sK2,union(union(sK1,singleton(sK3)),singleton(sK4)))), 5.88/1.33 inference(cnf_transformation,[],[f53])). 5.88/1.33 tff(f131,plain,( 5.88/1.33 ~spl17_3), 5.88/1.33 inference(avatar_split_clause,[],[f115,f129])). 5.88/1.33 tff(f115,plain,( 5.88/1.33 sF7 != sF14), 5.88/1.33 inference(definition_folding,[],[f84,f114,f113,f112,f111,f110,f109,f108,f107,f106])). 5.88/1.33 tff(f84,plain,( 5.88/1.33 $sum(cardinality(sK5),3) != cardinality(union(union(union(sK5,singleton(sK3)),singleton(sK4)),singleton(sK2)))), 5.88/1.33 inference(cnf_transformation,[],[f53])). 5.88/1.33 tff(f127,plain,( 5.88/1.33 ~spl17_2), 5.88/1.33 inference(avatar_split_clause,[],[f83,f125])). 5.88/1.33 tff(f83,plain,( 5.88/1.33 ~member(sK3,sK1)), 5.88/1.33 inference(cnf_transformation,[],[f53])). 5.88/1.33 tff(f123,plain,( 5.88/1.33 spl17_1), 5.88/1.33 inference(avatar_split_clause,[],[f81,f121])). 5.88/1.33 tff(f81,plain,( 5.88/1.33 subset(sK5,sK1)), 5.88/1.33 inference(cnf_transformation,[],[f53])). 5.88/1.33 % SZS output end Proof for theBenchmark 5.88/1.33 % (8822)------------------------------ 5.88/1.33 % (8822)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 5.88/1.33 % (8822)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 5.88/1.33 % (8822)Termination reason: Refutation 5.88/1.33 5.88/1.33 % (8822)Memory used [KB]: 1731 5.88/1.33 % (8822)Time elapsed: 0.187 s 5.88/1.33 % (8822)Instructions burned: 321 (million) 5.88/1.33 % (8822)------------------------------ 5.88/1.33 % (8822)------------------------------ 5.88/1.33 % (8618)Success in time 0.958 s 5.88/1.33 EOF