0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d THM 0.13/0.34 % Computer : n025.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Thu Jul 4 08:15:39 EDT 2024 0.13/0.34 % CPUTime : 0.13/0.36 This is a THF_ problem 0.13/0.36 Running higher-order theorem proving 0.13/0.40 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.bZ0l0Qzd1n/E---3.1_28983.p -m 16384 -t 180 0.25/0.44 % (29221)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/27Mi) 0.25/0.44 % (29220)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/4Mi) 0.25/0.44 % (29222)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/2Mi) 0.25/0.44 % (29223)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/2Mi) 0.25/0.44 % (29219)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/183Mi) 0.25/0.44 % (29224)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/275Mi) 0.25/0.44 % (29225)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/18Mi) 0.25/0.44 % (29222)Instruction limit reached! 0.25/0.44 % (29222)------------------------------ 0.25/0.44 % (29222)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.44 % (29223)Instruction limit reached! 0.25/0.44 % (29223)------------------------------ 0.25/0.44 % (29223)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.44 % (29222)Termination reason: Unknown 0.25/0.44 % (29222)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (29222)Memory used [KB]: 1279 0.25/0.44 % (29222)Time elapsed: 0.005 s 0.25/0.44 % (29222)Instructions burned: 2 (million) 0.25/0.44 % (29222)------------------------------ 0.25/0.44 % (29222)------------------------------ 0.25/0.44 % (29223)Termination reason: Unknown 0.25/0.44 % (29223)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (29223)Memory used [KB]: 1279 0.25/0.44 % (29223)Time elapsed: 0.005 s 0.25/0.44 % (29223)Instructions burned: 2 (million) 0.25/0.44 % (29223)------------------------------ 0.25/0.44 % (29223)------------------------------ 0.25/0.44 % (29220)Instruction limit reached! 0.25/0.44 % (29220)------------------------------ 0.25/0.44 % (29220)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.44 % (29220)Termination reason: Unknown 0.25/0.44 % (29220)Termination phase: shuffling 0.25/0.44 0.25/0.44 % (29220)Memory used [KB]: 1279 0.25/0.44 % (29220)Time elapsed: 0.007 s 0.25/0.44 % (29220)Instructions burned: 4 (million) 0.25/0.44 % (29220)------------------------------ 0.25/0.44 % (29220)------------------------------ 0.25/0.45 % (29225)Instruction limit reached! 0.25/0.45 % (29225)------------------------------ 0.25/0.45 % (29225)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.45 % (29225)Termination reason: Unknown 0.25/0.45 % (29225)Termination phase: Property scanning 0.25/0.45 0.25/0.45 % (29225)Memory used [KB]: 1535 0.25/0.45 % (29225)Time elapsed: 0.020 s 0.25/0.45 % (29225)Instructions burned: 18 (million) 0.25/0.45 % (29225)------------------------------ 0.25/0.45 % (29225)------------------------------ 0.25/0.46 % (29221)Instruction limit reached! 0.25/0.46 % (29221)------------------------------ 0.25/0.46 % (29221)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.46 % (29221)Termination reason: Unknown 0.25/0.46 % (29221)Termination phase: Property scanning 0.25/0.46 0.25/0.46 % (29221)Memory used [KB]: 1791 0.25/0.46 % (29221)Time elapsed: 0.028 s 0.25/0.46 % (29221)Instructions burned: 28 (million) 0.25/0.46 % (29221)------------------------------ 0.25/0.46 % (29221)------------------------------ 0.25/0.46 % (29235)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/37Mi) 0.25/0.47 % (29234)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/3Mi) 0.25/0.47 % (29236)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/15Mi) 0.25/0.47 % (29234)Instruction limit reached! 0.25/0.47 % (29234)------------------------------ 0.25/0.47 % (29234)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.47 % (29234)Termination reason: Unknown 0.25/0.47 % (29234)Termination phase: shuffling 0.25/0.47 0.25/0.47 % (29234)Memory used [KB]: 1279 0.25/0.47 % (29234)Time elapsed: 0.006 s 0.25/0.47 % (29234)Instructions burned: 3 (million) 0.25/0.47 % (29234)------------------------------ 0.25/0.47 % (29234)------------------------------ 0.25/0.48 % (29237)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/3Mi) 0.25/0.48 % (29236)Instruction limit reached! 0.25/0.48 % (29236)------------------------------ 0.25/0.48 % (29236)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (29236)Termination reason: Unknown 0.25/0.48 % (29236)Termination phase: Property scanning 0.25/0.48 0.25/0.48 % (29236)Memory used [KB]: 1535 0.25/0.48 % (29236)Time elapsed: 0.019 s 0.25/0.48 % (29236)Instructions burned: 16 (million) 0.25/0.48 % (29236)------------------------------ 0.25/0.48 % (29236)------------------------------ 0.25/0.48 % (29237)Instruction limit reached! 0.25/0.48 % (29237)------------------------------ 0.25/0.48 % (29237)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (29237)Termination reason: Unknown 0.25/0.48 % (29237)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (29237)Memory used [KB]: 1279 0.25/0.48 % (29237)Time elapsed: 0.006 s 0.25/0.48 % (29237)Instructions burned: 3 (million) 0.25/0.48 % (29237)------------------------------ 0.25/0.48 % (29237)------------------------------ 0.25/0.49 % (29243)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/1041Mi) 0.25/0.49 % (29245)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/7Mi) 0.25/0.50 % (29235)Instruction limit reached! 0.25/0.50 % (29235)------------------------------ 0.25/0.50 % (29235)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.50 % (29235)Termination reason: Unknown 0.25/0.50 % (29235)Termination phase: Property scanning 0.25/0.50 0.25/0.50 % (29235)Memory used [KB]: 1791 0.25/0.50 % (29235)Time elapsed: 0.034 s 0.25/0.50 % (29235)Instructions burned: 37 (million) 0.25/0.50 % (29235)------------------------------ 0.25/0.50 % (29235)------------------------------ 0.25/0.50 % (29245)Instruction limit reached! 0.25/0.50 % (29245)------------------------------ 0.25/0.50 % (29245)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.50 % (29245)Termination reason: Unknown 0.25/0.50 % (29245)Termination phase: shuffling 0.25/0.50 0.25/0.50 % (29245)Memory used [KB]: 1407 0.25/0.50 % (29245)Time elapsed: 0.009 s 0.25/0.50 % (29245)Instructions burned: 7 (million) 0.25/0.50 % (29245)------------------------------ 0.25/0.50 % (29245)------------------------------ 0.25/0.51 % (29249)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/3Mi) 0.25/0.51 % (29247)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/16Mi) 0.25/0.51 % (29249)Instruction limit reached! 0.25/0.51 % (29249)------------------------------ 0.25/0.51 % (29249)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.51 % (29249)Termination reason: Unknown 0.25/0.51 % (29249)Termination phase: shuffling 0.25/0.51 0.25/0.51 % (29249)Memory used [KB]: 1279 0.25/0.51 % (29249)Time elapsed: 0.004 s 0.25/0.51 % (29249)Instructions burned: 4 (million) 0.25/0.51 % (29249)------------------------------ 0.25/0.51 % (29249)------------------------------ 0.25/0.52 % (29251)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/3Mi) 0.25/0.52 % (29247)Instruction limit reached! 0.25/0.52 % (29247)------------------------------ 0.25/0.52 % (29247)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.52 % (29247)Termination reason: Unknown 0.25/0.53 % (29247)Termination phase: shuffling 0.25/0.53 0.25/0.53 % (29247)Memory used [KB]: 1663 0.25/0.53 % (29247)Time elapsed: 0.017 s 0.25/0.53 % (29247)Instructions burned: 16 (million) 0.25/0.53 % (29247)------------------------------ 0.25/0.53 % (29247)------------------------------ 0.25/0.53 % (29253)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on E---3.1_28983 for (1799ds/7Mi) 0.25/0.53 % (29251)Instruction limit reached! 0.25/0.53 % (29251)------------------------------ 0.25/0.53 % (29251)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.53 % (29251)Termination reason: Unknown 0.25/0.53 % (29251)Termination phase: shuffling 0.25/0.53 0.25/0.53 % (29251)Memory used [KB]: 1279 0.25/0.53 % (29251)Time elapsed: 0.005 s 0.25/0.53 % (29251)Instructions burned: 3 (million) 0.25/0.53 % (29251)------------------------------ 0.25/0.53 % (29251)------------------------------ 0.25/0.53 % (29256)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on E---3.1_28983 for (1798ds/3Mi) 0.25/0.53 % (29256)Instruction limit reached! 0.25/0.53 % (29256)------------------------------ 0.25/0.53 % (29256)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.53 % (29256)Termination reason: Unknown 0.25/0.53 % (29256)Termination phase: shuffling 0.25/0.53 0.25/0.53 % (29256)Memory used [KB]: 1279 0.25/0.53 % (29256)Time elapsed: 0.004 s 0.25/0.53 % (29256)Instructions burned: 3 (million) 0.25/0.53 % (29256)------------------------------ 0.25/0.53 % (29256)------------------------------ 0.25/0.53 % (29253)Instruction limit reached! 0.25/0.53 % (29253)------------------------------ 0.25/0.53 % (29253)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.53 % (29253)Termination reason: Unknown 0.25/0.53 % (29253)Termination phase: shuffling 0.25/0.53 0.25/0.53 % (29253)Memory used [KB]: 1407 0.25/0.53 % (29253)Time elapsed: 0.009 s 0.25/0.53 % (29253)Instructions burned: 7 (million) 0.25/0.53 % (29253)------------------------------ 0.25/0.53 % (29253)------------------------------ 0.25/0.54 % (29262)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_28983 for (1798ds/710Mi) 0.25/0.55 % (29260)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on E---3.1_28983 for (1798ds/18Mi) 0.25/0.55 % (29259)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_28983 for (1798ds/4Mi) 0.25/0.55 % (29259)Instruction limit reached! 0.25/0.55 % (29259)------------------------------ 0.25/0.55 % (29259)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.55 % (29259)Termination reason: Unknown 0.25/0.55 % (29259)Termination phase: shuffling 0.25/0.55 0.25/0.55 % (29259)Memory used [KB]: 1407 0.25/0.55 % (29259)Time elapsed: 0.005 s 0.25/0.55 % (29259)Instructions burned: 5 (million) 0.25/0.55 % (29259)------------------------------ 0.25/0.55 % (29259)------------------------------ 0.25/0.55 % (29263)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_28983 for (1798ds/6Mi) 0.25/0.56 % (29263)Instruction limit reached! 0.25/0.56 % (29263)------------------------------ 0.25/0.56 % (29263)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.56 % (29263)Termination reason: Unknown 0.25/0.56 % (29263)Termination phase: shuffling 0.25/0.56 0.25/0.56 % (29263)Memory used [KB]: 1407 0.25/0.56 % (29263)Time elapsed: 0.005 s 0.25/0.56 % (29263)Instructions burned: 7 (million) 0.25/0.56 % (29263)------------------------------ 0.25/0.56 % (29263)------------------------------ 0.25/0.56 % (29260)Instruction limit reached! 0.25/0.56 % (29260)------------------------------ 0.25/0.56 % (29260)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.56 % (29260)Termination reason: Unknown 0.25/0.56 % (29260)Termination phase: shuffling 0.25/0.56 0.25/0.56 % (29260)Memory used [KB]: 1663 0.25/0.56 % (29260)Time elapsed: 0.012 s 0.25/0.56 % (29260)Instructions burned: 19 (million) 0.25/0.56 % (29260)------------------------------ 0.25/0.56 % (29260)------------------------------ 0.25/0.57 % (29268)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on E---3.1_28983 for (1798ds/902Mi) 0.25/0.57 % (29271)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on E---3.1_28983 for (1798ds/21Mi) 0.25/0.57 % (29272)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_28983 for (1798ds/5Mi) 0.25/0.58 % (29219)Instruction limit reached! 0.25/0.58 % (29219)------------------------------ 0.25/0.58 % (29219)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.58 % (29272)Instruction limit reached! 0.25/0.58 % (29272)------------------------------ 0.25/0.58 % (29272)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.58 % (29272)Termination reason: Unknown 0.25/0.58 % (29272)Termination phase: shuffling 0.25/0.58 0.25/0.58 % (29272)Memory used [KB]: 1407 0.25/0.58 % (29272)Time elapsed: 0.005 s 0.25/0.58 % (29272)Instructions burned: 6 (million) 0.25/0.58 % (29272)------------------------------ 0.25/0.58 % (29272)------------------------------ 0.25/0.58 % (29219)Termination reason: Unknown 0.25/0.58 % (29219)Termination phase: Saturation 0.25/0.58 0.25/0.58 % (29219)Memory used [KB]: 7547 0.25/0.58 % (29219)Time elapsed: 0.144 s 0.25/0.58 % (29219)Instructions burned: 184 (million) 0.25/0.58 % (29219)------------------------------ 0.25/0.58 % (29219)------------------------------ 0.25/0.58 % (29271)Instruction limit reached! 0.25/0.58 % (29271)------------------------------ 0.25/0.58 % (29271)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.58 % (29271)Termination reason: Unknown 0.25/0.58 % (29271)Termination phase: shuffling 0.25/0.58 0.25/0.58 % (29271)Memory used [KB]: 1791 0.25/0.58 % (29271)Time elapsed: 0.013 s 0.25/0.58 % (29271)Instructions burned: 21 (million) 0.25/0.58 % (29271)------------------------------ 0.25/0.58 % (29271)------------------------------ 1.38/0.59 % (29273)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_28983 for (1798ds/6Mi) 1.38/0.59 % (29274)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_28983 for (1798ds/377Mi) 1.38/0.60 % (29273)Instruction limit reached! 1.38/0.60 % (29273)------------------------------ 1.38/0.60 % (29273)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.38/0.60 % (29273)Termination reason: Unknown 1.38/0.60 % (29273)Termination phase: shuffling 1.38/0.60 1.38/0.60 % (29273)Memory used [KB]: 1407 1.38/0.60 % (29273)Time elapsed: 0.006 s 1.38/0.60 % (29273)Instructions burned: 7 (million) 1.38/0.60 % (29273)------------------------------ 1.38/0.60 % (29273)------------------------------ 1.38/0.60 % (29277)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on E---3.1_28983 for (1798ds/779Mi) 1.46/0.61 % (29278)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on E---3.1_28983 for (1797ds/19Mi) 1.46/0.62 % (29278)Instruction limit reached! 1.46/0.62 % (29278)------------------------------ 1.46/0.62 % (29278)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.46/0.62 % (29278)Termination reason: Unknown 1.46/0.62 % (29278)Termination phase: shuffling 1.46/0.62 1.46/0.62 % (29278)Memory used [KB]: 1663 1.46/0.62 % (29278)Time elapsed: 0.012 s 1.46/0.62 % (29278)Instructions burned: 20 (million) 1.46/0.62 % (29278)------------------------------ 1.46/0.62 % (29278)------------------------------ 1.60/0.64 % (29224)Instruction limit reached! 1.60/0.64 % (29224)------------------------------ 1.60/0.64 % (29224)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.60/0.64 % (29224)Termination reason: Unknown 1.60/0.64 % (29224)Termination phase: Saturation 1.60/0.64 1.60/0.64 % (29224)Memory used [KB]: 8315 1.60/0.64 % (29224)Time elapsed: 0.203 s 1.60/0.64 % (29224)Instructions burned: 276 (million) 1.60/0.64 % (29224)------------------------------ 1.60/0.64 % (29224)------------------------------ 1.60/0.64 % (29280)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on E---3.1_28983 for (1797ds/879Mi) 1.60/0.65 % (29282)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_28983 for (1797ds/17Mi) 1.60/0.66 % (29282)Instruction limit reached! 1.60/0.66 % (29282)------------------------------ 1.60/0.66 % (29282)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.60/0.66 % (29282)Termination reason: Unknown 1.60/0.66 % (29282)Termination phase: shuffling 1.60/0.66 1.60/0.66 % (29282)Memory used [KB]: 1663 1.60/0.66 % (29282)Time elapsed: 0.011 s 1.60/0.66 % (29282)Instructions burned: 17 (million) 1.60/0.66 % (29282)------------------------------ 1.60/0.66 % (29282)------------------------------ 1.60/0.67 % (29268)First to succeed. 1.60/0.68 % (29268)Refutation found. Thanks to Tanya! 1.60/0.68 % SZS status Theorem for E---3.1_28983 1.60/0.68 % SZS output start Proof for E---3.1_28983 1.60/0.68 thf(func_def_0, type, in: $i > $i > $o). 1.60/0.68 thf(func_def_1, type, exu: ($i > $o) > $o). 1.60/0.68 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.60/0.68 thf(func_def_8, type, powerset: $i > $i). 1.60/0.68 thf(func_def_10, type, setunion: $i > $i). 1.60/0.68 thf(func_def_19, type, descr: ($i > $o) > $i). 1.60/0.68 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.60/0.68 thf(func_def_26, type, prop2set: $o > $i). 1.60/0.68 thf(func_def_36, type, nonempty: $i > $o). 1.60/0.68 thf(func_def_69, type, set2prop: $i > $o). 1.60/0.68 thf(func_def_88, type, subset: $i > $i > $o). 1.60/0.68 thf(func_def_89, type, disjoint: $i > $i > $o). 1.60/0.68 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.60/0.68 thf(func_def_114, type, binunion: $i > $i > $i). 1.60/0.68 thf(func_def_122, type, binintersect: $i > $i > $i). 1.60/0.68 thf(func_def_135, type, regular: $i > $o). 1.60/0.68 thf(func_def_136, type, setminus: $i > $i > $i). 1.60/0.68 thf(func_def_147, type, symdiff: $i > $i > $i). 1.60/0.68 thf(func_def_153, type, iskpair: $i > $o). 1.60/0.68 thf(func_def_158, type, kpair: $i > $i > $i). 1.60/0.68 thf(func_def_160, type, cartprod: $i > $i > $i). 1.60/0.68 thf(func_def_177, type, singleton: $i > $o). 1.60/0.68 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.60/0.68 thf(func_def_184, type, atmost1p: $i > $o). 1.60/0.68 thf(func_def_185, type, atleast2p: $i > $o). 1.60/0.68 thf(func_def_186, type, atmost2p: $i > $o). 1.60/0.68 thf(func_def_187, type, upairsetp: $i > $o). 1.60/0.68 thf(func_def_191, type, kfst: $i > $i). 1.60/0.68 thf(func_def_211, type, sP0: $i > $o > $i > $i > $o). 1.60/0.68 thf(func_def_215, type, sP4: $i > $i > $o). 1.60/0.68 thf(func_def_216, type, sP5: $i > $o). 1.60/0.68 thf(func_def_217, type, sP6: $i > $i > $o). 1.60/0.68 thf(func_def_218, type, sP7: $i > $i > $o). 1.60/0.68 thf(func_def_241, type, sK30: $i > $i). 1.60/0.68 thf(func_def_242, type, sK31: $i > $i). 1.60/0.68 thf(func_def_260, type, sK49: $i > $i > $i). 1.60/0.68 thf(func_def_261, type, sK50: $i > $i > $i). 1.60/0.68 thf(func_def_269, type, sK58: ($i > $o) > ($i > $o) > $i). 1.60/0.68 thf(func_def_270, type, sK59: ($i > $o) > ($i > $o) > $i). 1.60/0.68 thf(func_def_271, type, sK60: $i > $o). 1.60/0.68 thf(func_def_272, type, sK61: $i > $o). 1.60/0.68 thf(func_def_285, type, sK74: $i > $i > $i > $i). 1.60/0.68 thf(func_def_286, type, sK75: $i > $i > $i > $i). 1.60/0.68 thf(func_def_287, type, sK76: $i > $i > $i). 1.60/0.68 thf(func_def_296, type, sK85: $i > $o). 1.60/0.68 thf(func_def_298, type, sK87: ($i > $o) > $i > $i). 1.60/0.68 thf(func_def_299, type, sK88: ($i > $o) > $i > $i). 1.60/0.68 thf(func_def_301, type, sK90: $i > $o). 1.60/0.68 thf(func_def_308, type, sK97: $i > $o). 1.60/0.68 thf(func_def_311, type, sK100: $i > $o). 1.60/0.68 thf(func_def_317, type, sK106: $i > $i). 1.60/0.68 thf(func_def_318, type, sK107: $i > $o). 1.60/0.68 thf(func_def_334, type, sK123: $i > $i > $i). 1.60/0.68 thf(func_def_335, type, sK124: $i > $o). 1.60/0.68 thf(func_def_337, type, sK126: $i > $o). 1.60/0.68 thf(func_def_339, type, sK128: $i > ($i > $o) > $i). 1.60/0.68 thf(func_def_342, type, sK131: ($i > $o) > $i > $i > $i). 1.60/0.68 thf(func_def_345, type, sK134: $i > $o). 1.60/0.68 thf(func_def_357, type, sK146: $i > $o). 1.60/0.68 thf(func_def_360, type, sK149: $i > ($i > $o) > $i). 1.60/0.68 thf(func_def_363, type, sK152: ($i > $o) > $i). 1.60/0.68 thf(func_def_364, type, sK153: $i > $o). 1.60/0.68 thf(func_def_376, type, sK165: $i > ($i > $o) > $i). 1.60/0.68 thf(func_def_377, type, sK166: $i > $o). 1.60/0.68 thf(func_def_383, type, sK172: $i > $o). 1.60/0.68 thf(func_def_384, type, sK173: $i > $o). 1.60/0.68 thf(func_def_385, type, sK174: ($i > $o) > ($i > $o) > $i). 1.60/0.68 thf(func_def_386, type, sK175: ($i > $o) > ($i > $o) > $i). 1.60/0.68 thf(func_def_389, type, sK178: $i > $i > $i). 1.60/0.68 thf(func_def_391, type, sK180: $i > $o). 1.60/0.68 thf(func_def_393, type, sK182: ($i > $o) > $i > $i). 1.60/0.68 thf(func_def_394, type, sK183: ($i > $o) > $i > $i). 1.60/0.68 thf(func_def_402, type, sK191: $i > $o). 1.60/0.68 thf(func_def_404, type, sK193: $i > ($i > $o) > $i). 1.60/0.68 thf(func_def_407, type, sK196: $i > $i). 1.60/0.68 thf(func_def_415, type, sK204: $o > $i > $i > $i). 1.60/0.68 thf(func_def_418, type, sK207: $i > $o). 1.60/0.68 thf(func_def_420, type, sK209: $i > $i). 1.60/0.68 thf(func_def_431, type, sK220: $i > $o). 1.60/0.68 thf(func_def_462, type, sK251: $i > $o). 1.60/0.68 thf(func_def_464, type, sK253: $i > $o). 1.60/0.68 thf(func_def_468, type, sK257: $i > $o). 1.60/0.68 thf(func_def_471, type, sK260: $i > ($i > $o) > $i). 1.60/0.68 thf(func_def_485, type, sK274: $i > $o). 1.60/0.68 thf(func_def_486, type, sK275: $i > $i). 1.60/0.68 thf(func_def_487, type, sK276: ($i > $o) > $i). 1.60/0.68 thf(func_def_488, type, sK277: $i > $i). 1.60/0.68 thf(func_def_490, type, sK279: $i > $o). 1.60/0.68 thf(func_def_498, type, sK287: $i > $i > $i). 1.60/0.68 thf(func_def_505, type, sK294: $i > $i). 1.60/0.68 thf(func_def_507, type, sK296: $i > $o). 1.60/0.68 thf(func_def_509, type, sK298: ($i > $o) > $i > $i). 1.60/0.68 thf(func_def_510, type, sK299: ($i > $o) > $i > $i). 1.60/0.68 thf(func_def_515, type, sK304: $i > $i > $i). 1.60/0.68 thf(func_def_528, type, sK317: $i > $i > $i). 1.60/0.68 thf(func_def_561, type, sK350: $i > $i > $i). 1.60/0.68 thf(func_def_564, type, sK353: $i > $o). 1.60/0.68 thf(func_def_566, type, sK355: ($i > $o) > $i). 1.60/0.68 thf(func_def_567, type, sK356: ($i > $o) > $i). 1.60/0.68 thf(func_def_587, type, sK376: $i > $o). 1.60/0.68 thf(func_def_588, type, sK377: $i > $o). 1.60/0.68 thf(func_def_589, type, sK378: ($i > $o) > ($i > $o) > $i > $i > $i). 1.60/0.68 thf(func_def_590, type, sK379: ($i > $o) > ($i > $o) > $i > $i > $i). 1.60/0.68 thf(func_def_592, type, sK381: $i > $o). 1.60/0.68 thf(func_def_603, type, sK392: $i > $o). 1.60/0.68 thf(func_def_604, type, sK393: $i > $i). 1.60/0.68 thf(func_def_605, type, sK394: ($i > $o) > $i). 1.60/0.68 thf(func_def_608, type, sK397: $i > $i > $i). 1.60/0.68 thf(func_def_616, type, sK405: $i > $i > $o). 1.60/0.68 thf(func_def_618, type, sK407: $i > $i). 1.60/0.68 thf(func_def_619, type, sK408: $i > $i). 1.60/0.68 thf(func_def_620, type, sK409: $i > ($i > $i > $o) > $i). 1.60/0.68 thf(func_def_621, type, sK410: $i > ($i > $i > $o) > $i). 1.60/0.68 thf(func_def_622, type, sK411: $i > $i > ($i > $i > $o) > $i). 1.60/0.68 thf(func_def_625, type, sK414: $i > $o). 1.60/0.68 thf(func_def_632, type, sK421: $i > $i > $i). 1.60/0.68 thf(func_def_633, type, sK422: $i > $i > $i). 1.60/0.68 thf(func_def_634, type, sK423: $i > $i > $i). 1.60/0.68 thf(func_def_635, type, sK424: $i > $i > $i). 1.60/0.68 thf(func_def_636, type, sK425: $i > $i > $i > $i). 1.60/0.68 thf(func_def_637, type, sK426: $i > $i). 1.60/0.68 thf(func_def_638, type, sK427: $i > $i). 1.60/0.68 thf(func_def_639, type, sK428: $i > $i). 1.60/0.68 thf(func_def_640, type, sK429: $i > $i). 1.60/0.68 thf(func_def_641, type, sK430: $i > $i > $i). 1.60/0.68 thf(func_def_642, type, sK431: $i > $i > $i > $i). 1.60/0.68 thf(func_def_643, type, sK432: $i > $i > $i > $i). 1.60/0.68 thf(func_def_644, type, sK433: $i > $i > $i). 1.60/0.68 thf(func_def_645, type, sK434: $i > $i > $i). 1.60/0.68 thf(func_def_646, type, sK435: $i > $i). 1.60/0.68 thf(func_def_647, type, sK436: $i > $i > $i). 1.60/0.68 thf(func_def_649, type, sK438: $i > $i). 1.60/0.68 thf(func_def_650, type, sK439: $i > $i). 1.60/0.68 thf(func_def_659, type, sK448: $i > $o). 1.60/0.68 thf(func_def_663, type, sK452: $i > $o). 1.60/0.68 thf(func_def_666, type, sK455: $i > ($i > $o) > $i). 1.60/0.68 thf(func_def_668, type, sK457: $i > $o). 1.60/0.68 thf(func_def_670, type, sK459: ($i > $o) > $i > $i). 1.60/0.68 thf(func_def_683, type, ph472: !>[X0: $tType]:(X0)). 1.60/0.68 thf(f2714,plain,( 1.60/0.68 $false), 1.60/0.68 inference(avatar_sat_refutation,[],[f2644,f2699,f2713])). 1.60/0.68 thf(f2713,plain,( 1.60/0.68 ~spl471_5 | ~spl471_4), 1.60/0.68 inference(avatar_split_clause,[],[f2712,f2569,f2602])). 1.60/0.68 thf(f2602,plain,( 1.60/0.68 spl471_5 <=> (sK118 = sK117)), 1.60/0.68 introduced(avatar_definition,[new_symbols(naming,[spl471_5])])). 1.60/0.68 thf(f2569,plain,( 1.60/0.68 spl471_4 <=> (sK118 = sK119)), 1.60/0.68 introduced(avatar_definition,[new_symbols(naming,[spl471_4])])). 1.60/0.68 thf(f2712,plain,( 1.60/0.68 (sK118 != sK117) | ~spl471_4), 1.60/0.68 inference(superposition,[],[f1683,f2571])). 1.60/0.68 thf(f2571,plain,( 1.60/0.68 (sK118 = sK119) | ~spl471_4), 1.60/0.68 inference(avatar_component_clause,[],[f2569])). 1.60/0.68 thf(f1683,plain,( 1.60/0.68 (sK117 != sK119)), 1.60/0.68 inference(cnf_transformation,[],[f918])). 1.60/0.68 thf(f918,plain,( 1.60/0.68 (quantDeMorgan1 = $true) & (symdiffI1 = $true) & (setminusILneg = $true) & (dsetconstrEL = $true) & (wellorderingAx = $true) & (setminusIRneg = $true) & (upairsetE = $true) & (emptyInPowerset = $true) & (notsubsetI = $true) & (emptysetAx = $true) & (setunionE2 = $true) & (setukpairinjR12 = $true) & (subsetemptysetimpeq = $true) & (disjointsetsI1 = $true) & (setunionsingleton = $true) & (nonemptyI1 = $true) & (symdiffIneg1 = $true) & (sepSubset = $true) & (setadjoin__Cong = $true) & (subset2powerset = $true) & (powersetsubset = $true) & (setukpairIL = $true) & (quantDeMorgan4 = $true) & (emptysetE = $true) & (singletonprop = $true) & (setadjoinE = $true) & (in__Cong = $true) & (omega0Ax = $true) & (notdexE = $true) & (quantDeMorgan2 = $true) & (binintersectSubset4 = $true) & (setukpairIR = $true) & (symdiffI2 = $true) & (ubforcartprodlem3 = $true) & (powersetE = $true) & (binunionLsub = $true) & (binintersectSubset3 = $true) & (inPowerset = $true) & (subsetI2 = $true) & (setadjoinIL = $true) & (ubforcartprodlem2 = $true) & (binunionEcases = $true) & (binunionIL = $true) & (subsetTrans = $true) & (vacuousDall = $true) & (setadjoinAx = $true) & (setminusSubset1 = $true) & (singletoninpowerset = $true) & (eqinunit = $true) & (setextsub = $true) & (setminusSubset2 = $true) & (setukpairinjL2 = $true) & (quantDeMorgan3 = $true) & (ex1E1 = $true) & (exuE1 = $true) & (binintersectSubset2 = $true) & (setunionE = $true) & (emptysetimpfalse = $true) & (descrp = $true) & (powerset__Cong = $true) & (prop2setI = $true) & (prop2set2propI = $true) & (setadjoinOr = $true) & (prop2setE = $true) & (subsetI1 = $true) & (singletoninpowunion = $true) & (setextAx = $true) & (kfstpairEq = $true) & (nonemptyI = $true) & (exuI1 = $true) & (ubforcartprodlem1 = $true) & (exuEu = $true) & (noeltsimpempty = $true) & (singletonsswitch = $true) & (setminusERneg = $true) & (theprop = $true) & (kpairiskpair = $true) & (setukpairinjR1 = $true) & (cartprodmempair = $true) & (secondinupair = $true) & (singletonsubset = $true) & (descr__Cong = $true) & (exu__Cong = $true) & (setminusEL = $true) & (setukpairinjL1 = $true) & (setadjoinSub = $true) & (binintersectSubset1 = $true) & (kpairp = $true) & (nonemptyE1 = $true) & (subPowSU = $true) & (exuE2 = $true) & (ex1I2 = $true) & (emptyE1 = $true) & (setunion__Cong = $true) & (notdallE = $true) & (powersetAx = $true) & (omegaSAx = $true) & (setext = $true) & (eqimpsubset2 = $true) & (setunionI = $true) & (binintersectLsub = $true) & (cartprodfstin = $true) & (powersetI = $true) & (setminusI = $true) & (binintersectI = $true) & (setadjoinIR = $true) & (binintersectRsub = $true) & (notinsingleton = $true) & (setbeta = $true) & (upairset2E = $true) & (cartprodpairin = $true) & (setunionsingleton1 = $true) & (singletonsuniq = $true) & (exuE3u = $true) & (binunionIR = $true) & (exuI3 = $true) & (subsetE = $true) & (emptyI = $true) & (eqimpsubset1 = $true) & (binintersectSubset5 = $true) & (sepInPowerset = $true) & (exuI2 = $true) & (binintersectEL = $true) & (emptyinunitempty = $true) & (setminusER = $true) & (powersetE1 = $true) & (binunionE = $true) & (omega__Cong = $true) & (powersetI1 = $true) & (notequalI1 = $true) & (setunionsingleton2 = $true) & (upairinpowunion = $true) & (subsetE2 = $true) & (upairset2IR = $true) & (setukpairinjR11 = $true) & (nonemptyImpWitness = $true) & (dsetconstr__Cong = $true) & (setminusLsub = $true) & (setunionAx = $true) & (binunionRsub = $true) & (notequalI2 = $true) & (upairsetIL = $true) & (ex1I = $true) & (exuE3e = $true) & (inCongP = $true) & (symdiffIneg2 = $true) & (foundationAx = $true) & (subsetRefl = $true) & (uniqinunit = $true) & (upairsetIR = $true) & (kfstsingleton = $true) & (setoftrueEq = $true) & (emptysetsubset = $true) & (upairsubunion = $true) & (notinemptyset = $true) & (setminusELneg = $true) & (dsetconstrER = $true) & (setadjoinSub2 = $true) & (emptyinPowerset = $true) & (dsetconstrI = $true) & (((setadjoin @ sK118 @ emptyset) = (setadjoin @ sK119 @ (setadjoin @ sK117 @ emptyset))) & (sK117 != sK119)) & (symdiffE = $true) & (bs114d = $true) & (cartprodmempair1 = $true) & (binintersectER = $true) & (replAx = $true) & (setukpairinjL = $true) & (omegaIndAx = $true) & (emptyset__Cong = $true)), 1.60/0.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK117,sK118,sK119])],[f689,f917])). 1.60/0.68 thf(f917,plain,( 1.60/0.68 ? [X0,X1,X2] : (((setadjoin @ X1 @ emptyset) = (setadjoin @ X2 @ (setadjoin @ X0 @ emptyset))) & (X0 != X2)) => (((setadjoin @ sK118 @ emptyset) = (setadjoin @ sK119 @ (setadjoin @ sK117 @ emptyset))) & (sK117 != sK119))), 1.60/0.68 introduced(choice_axiom,[])). 1.60/0.68 thf(f689,plain,( 1.60/0.68 (quantDeMorgan1 = $true) & (symdiffI1 = $true) & (setminusILneg = $true) & (dsetconstrEL = $true) & (wellorderingAx = $true) & (setminusIRneg = $true) & (upairsetE = $true) & (emptyInPowerset = $true) & (notsubsetI = $true) & (emptysetAx = $true) & (setunionE2 = $true) & (setukpairinjR12 = $true) & (subsetemptysetimpeq = $true) & (disjointsetsI1 = $true) & (setunionsingleton = $true) & (nonemptyI1 = $true) & (symdiffIneg1 = $true) & (sepSubset = $true) & (setadjoin__Cong = $true) & (subset2powerset = $true) & (powersetsubset = $true) & (setukpairIL = $true) & (quantDeMorgan4 = $true) & (emptysetE = $true) & (singletonprop = $true) & (setadjoinE = $true) & (in__Cong = $true) & (omega0Ax = $true) & (notdexE = $true) & (quantDeMorgan2 = $true) & (binintersectSubset4 = $true) & (setukpairIR = $true) & (symdiffI2 = $true) & (ubforcartprodlem3 = $true) & (powersetE = $true) & (binunionLsub = $true) & (binintersectSubset3 = $true) & (inPowerset = $true) & (subsetI2 = $true) & (setadjoinIL = $true) & (ubforcartprodlem2 = $true) & (binunionEcases = $true) & (binunionIL = $true) & (subsetTrans = $true) & (vacuousDall = $true) & (setadjoinAx = $true) & (setminusSubset1 = $true) & (singletoninpowerset = $true) & (eqinunit = $true) & (setextsub = $true) & (setminusSubset2 = $true) & (setukpairinjL2 = $true) & (quantDeMorgan3 = $true) & (ex1E1 = $true) & (exuE1 = $true) & (binintersectSubset2 = $true) & (setunionE = $true) & (emptysetimpfalse = $true) & (descrp = $true) & (powerset__Cong = $true) & (prop2setI = $true) & (prop2set2propI = $true) & (setadjoinOr = $true) & (prop2setE = $true) & (subsetI1 = $true) & (singletoninpowunion = $true) & (setextAx = $true) & (kfstpairEq = $true) & (nonemptyI = $true) & (exuI1 = $true) & (ubforcartprodlem1 = $true) & (exuEu = $true) & (noeltsimpempty = $true) & (singletonsswitch = $true) & (setminusERneg = $true) & (theprop = $true) & (kpairiskpair = $true) & (setukpairinjR1 = $true) & (cartprodmempair = $true) & (secondinupair = $true) & (singletonsubset = $true) & (descr__Cong = $true) & (exu__Cong = $true) & (setminusEL = $true) & (setukpairinjL1 = $true) & (setadjoinSub = $true) & (binintersectSubset1 = $true) & (kpairp = $true) & (nonemptyE1 = $true) & (subPowSU = $true) & (exuE2 = $true) & (ex1I2 = $true) & (emptyE1 = $true) & (setunion__Cong = $true) & (notdallE = $true) & (powersetAx = $true) & (omegaSAx = $true) & (setext = $true) & (eqimpsubset2 = $true) & (setunionI = $true) & (binintersectLsub = $true) & (cartprodfstin = $true) & (powersetI = $true) & (setminusI = $true) & (binintersectI = $true) & (setadjoinIR = $true) & (binintersectRsub = $true) & (notinsingleton = $true) & (setbeta = $true) & (upairset2E = $true) & (cartprodpairin = $true) & (setunionsingleton1 = $true) & (singletonsuniq = $true) & (exuE3u = $true) & (binunionIR = $true) & (exuI3 = $true) & (subsetE = $true) & (emptyI = $true) & (eqimpsubset1 = $true) & (binintersectSubset5 = $true) & (sepInPowerset = $true) & (exuI2 = $true) & (binintersectEL = $true) & (emptyinunitempty = $true) & (setminusER = $true) & (powersetE1 = $true) & (binunionE = $true) & (omega__Cong = $true) & (powersetI1 = $true) & (notequalI1 = $true) & (setunionsingleton2 = $true) & (upairinpowunion = $true) & (subsetE2 = $true) & (upairset2IR = $true) & (setukpairinjR11 = $true) & (nonemptyImpWitness = $true) & (dsetconstr__Cong = $true) & (setminusLsub = $true) & (setunionAx = $true) & (binunionRsub = $true) & (notequalI2 = $true) & (upairsetIL = $true) & (ex1I = $true) & (exuE3e = $true) & (inCongP = $true) & (symdiffIneg2 = $true) & (foundationAx = $true) & (subsetRefl = $true) & (uniqinunit = $true) & (upairsetIR = $true) & (kfstsingleton = $true) & (setoftrueEq = $true) & (emptysetsubset = $true) & (upairsubunion = $true) & (notinemptyset = $true) & (setminusELneg = $true) & (dsetconstrER = $true) & (setadjoinSub2 = $true) & (emptyinPowerset = $true) & (dsetconstrI = $true) & ? [X0,X1,X2] : (((setadjoin @ X1 @ emptyset) = (setadjoin @ X2 @ (setadjoin @ X0 @ emptyset))) & (X0 != X2)) & (symdiffE = $true) & (bs114d = $true) & (cartprodmempair1 = $true) & (binintersectER = $true) & (replAx = $true) & (setukpairinjL = $true) & (omegaIndAx = $true) & (emptyset__Cong = $true)), 1.60/0.68 inference(flattening,[],[f688])). 1.60/0.68 thf(f688,plain,( 1.60/0.68 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (((setadjoin @ X1 @ emptyset) = (setadjoin @ X2 @ (setadjoin @ X0 @ emptyset))) & (X0 != X2)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)), 1.60/0.68 inference(ennf_transformation,[],[f286])). 1.60/0.68 thf(f286,plain,( 1.60/0.68 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ! [X0,X1,X2] : (((setadjoin @ X1 @ emptyset) = (setadjoin @ X2 @ (setadjoin @ X0 @ emptyset))) => (X0 = X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.60/0.68 inference(fool_elimination,[],[f285])). 1.60/0.68 thf(f285,plain,( 1.60/0.68 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => ! [X0,X1,X2] : (((setadjoin @ X1 @ emptyset) = (setadjoin @ X2 @ (setadjoin @ X0 @ emptyset))) => (X0 = X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.60/0.68 inference(rectify,[],[f176])). 1.60/0.68 thf(f176,negated_conjecture,( 1.60/0.68 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => ! [X2,X8,X1] : (((setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) = (setadjoin @ X8 @ emptyset)) => (X1 = X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.60/0.68 inference(negated_conjecture,[],[f175])). 1.60/0.68 thf(f175,conjecture,( 1.60/0.68 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => ! [X2,X8,X1] : (((setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) = (setadjoin @ X8 @ emptyset)) => (X1 = X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.60/0.68 file('/export/starexec/sandbox/tmp/tmp.bZ0l0Qzd1n/E---3.1_28983.p',upairequniteq)). 1.60/0.68 thf(f2699,plain,( 1.60/0.68 spl471_4), 1.60/0.68 inference(avatar_split_clause,[],[f2698,f2569])). 1.60/0.68 thf(f2698,plain,( 1.60/0.68 (sK118 = sK119)), 1.60/0.68 inference(trivial_inequality_removal,[],[f2697])). 1.60/0.68 thf(f2697,plain,( 1.60/0.68 (sK118 = sK119) | ($true != $true)), 1.60/0.68 inference(forward_demodulation,[],[f2688,f1737])). 1.60/0.68 thf(f1737,plain,( 1.60/0.68 (notinsingleton = $true)), 1.60/0.68 inference(cnf_transformation,[],[f918])). 1.60/0.68 thf(f2688,plain,( 1.60/0.68 (sK118 = sK119) | (notinsingleton != $true)), 1.60/0.68 inference(trivial_inequality_removal,[],[f2680])). 1.60/0.68 thf(f2680,plain,( 1.60/0.68 (notinsingleton != $true) | (sK118 = sK119) | ($true != $true)), 1.60/0.68 inference(superposition,[],[f2178,f2529])). 1.60/0.68 thf(f2529,plain,( 1.60/0.68 ($true = (in @ sK119 @ (setadjoin @ sK118 @ emptyset)))), 1.60/0.68 inference(trivial_inequality_removal,[],[f2528])). 1.60/0.68 thf(f2528,plain,( 1.60/0.68 ($true = (in @ sK119 @ (setadjoin @ sK118 @ emptyset))) | ($true != $true)), 1.60/0.68 inference(forward_demodulation,[],[f2471,f1703])). 1.60/0.68 thf(f1703,plain,( 1.60/0.68 (upairsetIL = $true)), 1.60/0.68 inference(cnf_transformation,[],[f918])). 1.60/0.68 thf(f2471,plain,( 1.60/0.68 ($true = (in @ sK119 @ (setadjoin @ sK118 @ emptyset))) | (upairsetIL != $true)), 1.60/0.68 inference(superposition,[],[f2000,f1684])). 1.60/0.68 thf(f1684,plain,( 1.60/0.68 ((setadjoin @ sK118 @ emptyset) = (setadjoin @ sK119 @ (setadjoin @ sK117 @ emptyset)))), 1.60/0.68 inference(cnf_transformation,[],[f918])). 1.60/0.68 thf(f2000,plain,( 1.60/0.68 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) = $true) | (upairsetIL != $true)) )), 1.60/0.68 inference(cnf_transformation,[],[f1114])). 1.60/0.68 thf(f1114,plain,( 1.60/0.68 (! [X0,X1] : ((in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) = $true) | (upairsetIL != $true)) & ((upairsetIL = $true) | ((in @ sK232 @ (setadjoin @ sK232 @ (setadjoin @ sK231 @ emptyset))) != $true))), 1.60/0.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK231,sK232])],[f1112,f1113])). 1.60/0.68 thf(f1113,plain,( 1.60/0.68 ? [X2,X3] : ($true != (in @ X3 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))) => ((in @ sK232 @ (setadjoin @ sK232 @ (setadjoin @ sK231 @ emptyset))) != $true)), 1.60/0.68 introduced(choice_axiom,[])). 1.60/0.68 thf(f1112,plain,( 1.60/0.68 (! [X0,X1] : ((in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) = $true) | (upairsetIL != $true)) & ((upairsetIL = $true) | ? [X2,X3] : ($true != (in @ X3 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))))), 1.60/0.68 inference(rectify,[],[f1111])). 1.60/0.68 thf(f1111,plain,( 1.60/0.68 (! [X0,X1] : ((in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) = $true) | (upairsetIL != $true)) & ((upairsetIL = $true) | ? [X0,X1] : ((in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) != $true))), 1.60/0.68 inference(nnf_transformation,[],[f195])). 1.60/0.68 thf(f195,plain,( 1.60/0.68 ! [X0,X1] : ((in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) = $true) <=> (upairsetIL = $true)), 1.60/0.68 inference(fool_elimination,[],[f194])). 1.60/0.68 thf(f194,plain,( 1.60/0.68 (upairsetIL = ! [X0,X1] : (in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))), 1.60/0.68 inference(rectify,[],[f51])). 1.60/0.68 thf(f51,axiom,( 1.60/0.68 (upairsetIL = ! [X2,X1] : (in @ X1 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))), 1.60/0.68 file('/export/starexec/sandbox/tmp/tmp.bZ0l0Qzd1n/E---3.1_28983.p',upairsetIL)). 1.60/0.68 thf(f2178,plain,( 1.60/0.68 ( ! [X2 : $i,X3 : $i] : (((in @ X3 @ (setadjoin @ X2 @ emptyset)) != $true) | (X2 = X3) | (notinsingleton != $true)) )), 1.60/0.68 inference(cnf_transformation,[],[f1331])). 1.60/0.68 thf(f1331,plain,( 1.60/0.68 ((notinsingleton = $true) | (($true = (in @ sK358 @ (setadjoin @ sK357 @ emptyset))) & (sK358 != sK357))) & (! [X2,X3] : (((in @ X3 @ (setadjoin @ X2 @ emptyset)) != $true) | (X2 = X3)) | (notinsingleton != $true))), 1.60/0.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK357,sK358])],[f1329,f1330])). 1.60/0.68 thf(f1330,plain,( 1.60/0.68 ? [X0,X1] : (($true = (in @ X1 @ (setadjoin @ X0 @ emptyset))) & (X0 != X1)) => (($true = (in @ sK358 @ (setadjoin @ sK357 @ emptyset))) & (sK358 != sK357))), 1.60/0.68 introduced(choice_axiom,[])). 1.60/0.68 thf(f1329,plain,( 1.60/0.68 ((notinsingleton = $true) | ? [X0,X1] : (($true = (in @ X1 @ (setadjoin @ X0 @ emptyset))) & (X0 != X1))) & (! [X2,X3] : (((in @ X3 @ (setadjoin @ X2 @ emptyset)) != $true) | (X2 = X3)) | (notinsingleton != $true))), 1.60/0.68 inference(rectify,[],[f1328])). 1.60/0.68 thf(f1328,plain,( 1.60/0.68 ((notinsingleton = $true) | ? [X0,X1] : (($true = (in @ X1 @ (setadjoin @ X0 @ emptyset))) & (X0 != X1))) & (! [X0,X1] : (($true != (in @ X1 @ (setadjoin @ X0 @ emptyset))) | (X0 = X1)) | (notinsingleton != $true))), 1.60/0.68 inference(nnf_transformation,[],[f664])). 1.60/0.68 thf(f664,plain,( 1.60/0.68 (notinsingleton = $true) <=> ! [X0,X1] : (($true != (in @ X1 @ (setadjoin @ X0 @ emptyset))) | (X0 = X1))), 1.60/0.68 inference(ennf_transformation,[],[f535])). 1.60/0.68 thf(f535,plain,( 1.60/0.68 ! [X0,X1] : ((X0 != X1) => ($true != (in @ X1 @ (setadjoin @ X0 @ emptyset)))) <=> (notinsingleton = $true)), 1.60/0.68 inference(flattening,[],[f282])). 1.60/0.68 thf(f282,plain,( 1.60/0.68 (notinsingleton = $true) <=> ! [X0,X1] : ((X0 != X1) => ~($true = (in @ X1 @ (setadjoin @ X0 @ emptyset))))), 1.60/0.68 inference(fool_elimination,[],[f281])). 1.60/0.68 thf(f281,plain,( 1.60/0.68 (notinsingleton = ! [X0,X1] : ((X0 != X1) => ~(in @ X1 @ (setadjoin @ X0 @ emptyset))))), 1.60/0.68 inference(rectify,[],[f47])). 1.60/0.68 thf(f47,axiom,( 1.60/0.68 (notinsingleton = ! [X1,X2] : ((X1 != X2) => ~(in @ X2 @ (setadjoin @ X1 @ emptyset))))), 1.60/0.68 file('/export/starexec/sandbox/tmp/tmp.bZ0l0Qzd1n/E---3.1_28983.p',notinsingleton)). 1.60/0.68 thf(f2644,plain,( 1.60/0.68 spl471_5), 1.60/0.68 inference(avatar_split_clause,[],[f2643,f2602])). 1.60/0.68 thf(f2643,plain,( 1.60/0.68 (sK118 = sK117)), 1.60/0.68 inference(trivial_inequality_removal,[],[f2642])). 1.60/0.68 thf(f2642,plain,( 1.60/0.68 (sK118 = sK117) | ($true != $true)), 1.60/0.68 inference(forward_demodulation,[],[f2629,f1696])). 1.60/0.68 thf(f1696,plain,( 1.60/0.68 (uniqinunit = $true)), 1.60/0.68 inference(cnf_transformation,[],[f918])). 1.60/0.68 thf(f2629,plain,( 1.60/0.68 (uniqinunit != $true) | (sK118 = sK117)), 1.60/0.68 inference(trivial_inequality_removal,[],[f2621])). 1.60/0.68 thf(f2621,plain,( 1.60/0.68 ($true != $true) | (sK118 = sK117) | (uniqinunit != $true)), 1.60/0.68 inference(superposition,[],[f1998,f2502])). 1.60/0.68 thf(f2502,plain,( 1.60/0.68 ($true = (in @ sK117 @ (setadjoin @ sK118 @ emptyset)))), 1.60/0.68 inference(trivial_inequality_removal,[],[f2501])). 1.60/0.68 thf(f2501,plain,( 1.60/0.68 ($true != $true) | ($true = (in @ sK117 @ (setadjoin @ sK118 @ emptyset)))), 1.60/0.68 inference(forward_demodulation,[],[f2472,f1711])). 1.60/0.68 thf(f1711,plain,( 1.60/0.68 (upairset2IR = $true)), 1.60/0.68 inference(cnf_transformation,[],[f918])). 1.60/0.68 thf(f2472,plain,( 1.60/0.68 ($true = (in @ sK117 @ (setadjoin @ sK118 @ emptyset))) | (upairset2IR != $true)), 1.60/0.68 inference(superposition,[],[f2022,f1684])). 1.60/0.68 thf(f2022,plain,( 1.60/0.68 ( ! [X0 : $i,X1 : $i] : (($true = (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) | (upairset2IR != $true)) )), 1.60/0.68 inference(cnf_transformation,[],[f1140])). 1.60/0.68 thf(f1140,plain,( 1.60/0.68 (! [X0,X1] : ($true = (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) | (upairset2IR != $true)) & ((upairset2IR = $true) | ($true != (in @ sK248 @ (setadjoin @ sK247 @ (setadjoin @ sK248 @ emptyset)))))), 1.60/0.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK247,sK248])],[f1138,f1139])). 1.60/0.68 thf(f1139,plain,( 1.60/0.68 ? [X2,X3] : ((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))) != $true) => ($true != (in @ sK248 @ (setadjoin @ sK247 @ (setadjoin @ sK248 @ emptyset))))), 1.60/0.68 introduced(choice_axiom,[])). 1.60/0.68 thf(f1138,plain,( 1.60/0.68 (! [X0,X1] : ($true = (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) | (upairset2IR != $true)) & ((upairset2IR = $true) | ? [X2,X3] : ((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))) != $true))), 1.60/0.68 inference(rectify,[],[f1137])). 1.60/0.68 thf(f1137,plain,( 1.60/0.68 (! [X0,X1] : ($true = (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) | (upairset2IR != $true)) & ((upairset2IR = $true) | ? [X0,X1] : ($true != (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))))), 1.60/0.68 inference(nnf_transformation,[],[f440])). 1.60/0.68 thf(f440,plain,( 1.60/0.68 ! [X0,X1] : ($true = (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) <=> (upairset2IR = $true)), 1.60/0.68 inference(fool_elimination,[],[f439])). 1.60/0.68 thf(f439,plain,( 1.60/0.68 (upairset2IR = ! [X0,X1] : (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))))), 1.60/0.68 inference(rectify,[],[f102])). 1.60/0.68 thf(f102,axiom,( 1.60/0.68 (upairset2IR = ! [X1,X2] : (in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))), 1.60/0.68 file('/export/starexec/sandbox/tmp/tmp.bZ0l0Qzd1n/E---3.1_28983.p',upairset2IR)). 1.60/0.68 thf(f1998,plain,( 1.60/0.68 ( ! [X0 : $i,X1 : $i] : (((in @ X0 @ (setadjoin @ X1 @ emptyset)) != $true) | (uniqinunit != $true) | (X0 = X1)) )), 1.60/0.68 inference(cnf_transformation,[],[f1110])). 1.60/0.68 thf(f1110,plain,( 1.60/0.68 (! [X0,X1] : (((in @ X0 @ (setadjoin @ X1 @ emptyset)) != $true) | (X0 = X1)) | (uniqinunit != $true)) & ((uniqinunit = $true) | (($true = (in @ sK229 @ (setadjoin @ sK230 @ emptyset))) & (sK230 != sK229)))), 1.60/0.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK229,sK230])],[f1108,f1109])). 1.60/0.68 thf(f1109,plain,( 1.60/0.68 ? [X2,X3] : (($true = (in @ X2 @ (setadjoin @ X3 @ emptyset))) & (X2 != X3)) => (($true = (in @ sK229 @ (setadjoin @ sK230 @ emptyset))) & (sK230 != sK229))), 1.60/0.68 introduced(choice_axiom,[])). 1.60/0.68 thf(f1108,plain,( 1.60/0.68 (! [X0,X1] : (((in @ X0 @ (setadjoin @ X1 @ emptyset)) != $true) | (X0 = X1)) | (uniqinunit != $true)) & ((uniqinunit = $true) | ? [X2,X3] : (($true = (in @ X2 @ (setadjoin @ X3 @ emptyset))) & (X2 != X3)))), 1.60/0.68 inference(rectify,[],[f1107])). 1.60/0.68 thf(f1107,plain,( 1.60/0.68 (! [X0,X1] : (((in @ X0 @ (setadjoin @ X1 @ emptyset)) != $true) | (X0 = X1)) | (uniqinunit != $true)) & ((uniqinunit = $true) | ? [X0,X1] : (((in @ X0 @ (setadjoin @ X1 @ emptyset)) = $true) & (X0 != X1)))), 1.60/0.68 inference(nnf_transformation,[],[f592])). 1.60/0.68 thf(f592,plain,( 1.60/0.68 ! [X0,X1] : (((in @ X0 @ (setadjoin @ X1 @ emptyset)) != $true) | (X0 = X1)) <=> (uniqinunit = $true)), 1.60/0.68 inference(ennf_transformation,[],[f466])). 1.60/0.68 thf(f466,plain,( 1.60/0.68 (uniqinunit = $true) <=> ! [X0,X1] : (((in @ X0 @ (setadjoin @ X1 @ emptyset)) = $true) => (X0 = X1))), 1.60/0.68 inference(fool_elimination,[],[f465])). 1.60/0.68 thf(f465,plain,( 1.60/0.68 (uniqinunit = ! [X0,X1] : ((in @ X0 @ (setadjoin @ X1 @ emptyset)) => (X0 = X1)))), 1.60/0.68 inference(rectify,[],[f46])). 1.60/0.68 thf(f46,axiom,( 1.60/0.68 (uniqinunit = ! [X1,X2] : ((in @ X1 @ (setadjoin @ X2 @ emptyset)) => (X1 = X2)))), 1.60/0.68 file('/export/starexec/sandbox/tmp/tmp.bZ0l0Qzd1n/E---3.1_28983.p',uniqinunit)). 1.60/0.68 % SZS output end Proof for E---3.1_28983 1.60/0.68 % (29268)------------------------------ 1.60/0.68 % (29268)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.60/0.68 % (29268)Termination reason: Refutation 1.60/0.68 1.60/0.68 % (29268)Memory used [KB]: 8315 1.60/0.68 % (29268)Time elapsed: 0.108 s 1.60/0.68 % (29268)Instructions burned: 178 (million) 1.60/0.68 % (29268)------------------------------ 1.60/0.68 % (29268)------------------------------ 1.60/0.68 % (29214)Success in time 0.279 s 1.60/0.68 EOF