0.07/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : run_vampire %s %d THM 0.13/0.35 % Computer : n028.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 1440 0.13/0.35 % WCLimit : 180 0.13/0.35 % DateTime : Thu Jul 4 04:46:54 EDT 2024 0.13/0.35 % CPUTime : 0.13/0.37 This is a THF_ problem 0.13/0.37 Running higher-order theorem proving 0.22/0.39 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.mwIC6tJn5Q/E---3.1_4311.p -m 16384 -t 180 0.22/0.42 % (4422)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_4311 for (1799ds/2Mi) 0.22/0.42 % (4423)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_4311 for (1799ds/2Mi) 0.22/0.42 % (4425)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_4311 for (1799ds/18Mi) 0.22/0.42 % (4420)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_4311 for (1799ds/4Mi) 0.22/0.42 % (4424)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_4311 for (1799ds/275Mi) 0.22/0.42 % (4422)Instruction limit reached! 0.22/0.42 % (4422)------------------------------ 0.22/0.42 % (4422)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.42 % (4422)Termination reason: Unknown 0.22/0.42 % (4422)Termination phase: shuffling 0.22/0.42 0.22/0.42 % (4422)Memory used [KB]: 1151 0.22/0.42 % (4423)Instruction limit reached! 0.22/0.42 % (4423)------------------------------ 0.22/0.42 % (4423)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.42 % (4422)Time elapsed: 0.004 s 0.22/0.42 % (4422)Instructions burned: 3 (million) 0.22/0.42 % (4422)------------------------------ 0.22/0.42 % (4422)------------------------------ 0.22/0.42 % (4423)Termination reason: Unknown 0.22/0.42 % (4423)Termination phase: shuffling 0.22/0.42 0.22/0.42 % (4423)Memory used [KB]: 1151 0.22/0.42 % (4423)Time elapsed: 0.003 s 0.22/0.42 % (4423)Instructions burned: 3 (million) 0.22/0.42 % (4423)------------------------------ 0.22/0.42 % (4423)------------------------------ 0.22/0.42 % (4420)Instruction limit reached! 0.22/0.42 % (4420)------------------------------ 0.22/0.42 % (4420)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.42 % (4420)Termination reason: Unknown 0.22/0.42 % (4420)Termination phase: shuffling 0.22/0.42 0.22/0.42 % (4420)Memory used [KB]: 1151 0.22/0.42 % (4420)Time elapsed: 0.004 s 0.22/0.42 % (4420)Instructions burned: 6 (million) 0.22/0.42 % (4420)------------------------------ 0.22/0.42 % (4420)------------------------------ 0.22/0.42 % (4419)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_4311 for (1799ds/183Mi) 0.22/0.42 % (4421)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_4311 for (1799ds/27Mi) 0.22/0.42 % (4425)Instruction limit reached! 0.22/0.42 % (4425)------------------------------ 0.22/0.42 % (4425)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.42 % (4425)Termination reason: Unknown 0.22/0.42 % (4425)Termination phase: Preprocessing 3 0.22/0.42 0.22/0.42 % (4425)Memory used [KB]: 1663 0.22/0.42 % (4425)Time elapsed: 0.011 s 0.22/0.42 % (4425)Instructions burned: 19 (million) 0.22/0.42 % (4425)------------------------------ 0.22/0.42 % (4425)------------------------------ 0.22/0.43 % (4426)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_4311 for (1799ds/3Mi) 0.22/0.43 % (4428)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_4311 for (1799ds/15Mi) 0.22/0.43 % (4426)Instruction limit reached! 0.22/0.43 % (4426)------------------------------ 0.22/0.43 % (4426)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (4426)Termination reason: Unknown 0.22/0.43 % (4426)Termination phase: shuffling 0.22/0.43 0.22/0.43 % (4426)Memory used [KB]: 1151 0.22/0.43 % (4426)Time elapsed: 0.003 s 0.22/0.43 % (4426)Instructions burned: 3 (million) 0.22/0.43 % (4426)------------------------------ 0.22/0.43 % (4426)------------------------------ 0.22/0.43 % (4421)Instruction limit reached! 0.22/0.43 % (4421)------------------------------ 0.22/0.43 % (4421)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.43 % (4421)Termination reason: Unknown 0.22/0.43 % (4421)Termination phase: Function definition elimination 0.22/0.43 0.22/0.43 % (4421)Memory used [KB]: 1407 0.22/0.43 % (4421)Time elapsed: 0.016 s 0.22/0.43 % (4421)Instructions burned: 27 (million) 0.22/0.43 % (4421)------------------------------ 0.22/0.43 % (4421)------------------------------ 0.22/0.44 % (4427)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_4311 for (1799ds/37Mi) 0.22/0.44 % (4428)Instruction limit reached! 0.22/0.44 % (4428)------------------------------ 0.22/0.44 % (4428)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (4428)Termination reason: Unknown 0.22/0.44 % (4428)Termination phase: Preprocessing 3 0.22/0.44 0.22/0.44 % (4428)Memory used [KB]: 1535 0.22/0.44 % (4428)Time elapsed: 0.009 s 0.22/0.44 % (4428)Instructions burned: 15 (million) 0.22/0.44 % (4428)------------------------------ 0.22/0.44 % (4428)------------------------------ 0.22/0.44 % (4429)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_4311 for (1799ds/3Mi) 0.22/0.44 % (4429)Instruction limit reached! 0.22/0.44 % (4429)------------------------------ 0.22/0.44 % (4429)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.44 % (4429)Termination reason: Unknown 0.22/0.44 % (4429)Termination phase: shuffling 0.22/0.44 0.22/0.44 % (4429)Memory used [KB]: 1151 0.22/0.44 % (4429)Time elapsed: 0.004 s 0.22/0.44 % (4429)Instructions burned: 4 (million) 0.22/0.44 % (4429)------------------------------ 0.22/0.44 % (4429)------------------------------ 0.22/0.45 % (4430)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_4311 for (1799ds/1041Mi) 0.22/0.45 % (4431)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_4311 for (1799ds/7Mi) 0.22/0.45 % (4427)Instruction limit reached! 0.22/0.45 % (4427)------------------------------ 0.22/0.45 % (4427)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.45 % (4427)Termination reason: Unknown 0.22/0.45 % (4427)Termination phase: Saturation 0.22/0.45 0.22/0.45 % (4427)Memory used [KB]: 5884 0.22/0.45 % (4427)Time elapsed: 0.017 s 0.22/0.45 % (4427)Instructions burned: 38 (million) 0.22/0.45 % (4427)------------------------------ 0.22/0.45 % (4427)------------------------------ 0.22/0.45 % (4432)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_4311 for (1799ds/16Mi) 0.22/0.45 % (4431)Instruction limit reached! 0.22/0.45 % (4431)------------------------------ 0.22/0.45 % (4431)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.45 % (4431)Termination reason: Unknown 0.22/0.45 % (4431)Termination phase: shuffling 0.22/0.45 0.22/0.45 % (4431)Memory used [KB]: 1279 0.22/0.45 % (4431)Time elapsed: 0.006 s 0.22/0.45 % (4431)Instructions burned: 9 (million) 0.22/0.45 % (4431)------------------------------ 0.22/0.45 % (4431)------------------------------ 0.22/0.45 % (4433)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_4311 for (1799ds/3Mi) 0.22/0.46 % (4433)Instruction limit reached! 0.22/0.46 % (4433)------------------------------ 0.22/0.46 % (4433)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.46 % (4433)Termination reason: Unknown 0.22/0.46 % (4433)Termination phase: shuffling 0.22/0.46 0.22/0.46 % (4433)Memory used [KB]: 1151 0.22/0.46 % (4433)Time elapsed: 0.003 s 0.22/0.46 % (4433)Instructions burned: 3 (million) 0.22/0.46 % (4433)------------------------------ 0.22/0.46 % (4433)------------------------------ 0.22/0.46 % (4432)Instruction limit reached! 0.22/0.46 % (4432)------------------------------ 0.22/0.46 % (4432)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.46 % (4432)Termination reason: Unknown 0.22/0.46 % (4432)Termination phase: Property scanning 0.22/0.46 0.22/0.46 % (4432)Memory used [KB]: 1407 0.22/0.46 % (4432)Time elapsed: 0.009 s 0.22/0.46 % (4432)Instructions burned: 17 (million) 0.22/0.46 % (4432)------------------------------ 0.22/0.46 % (4432)------------------------------ 0.22/0.46 % (4434)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_4311 for (1799ds/3Mi) 0.22/0.46 % (4434)Instruction limit reached! 0.22/0.46 % (4434)------------------------------ 0.22/0.46 % (4434)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.46 % (4434)Termination reason: Unknown 0.22/0.46 % (4434)Termination phase: shuffling 0.22/0.46 0.22/0.46 % (4434)Memory used [KB]: 1151 0.22/0.46 % (4434)Time elapsed: 0.003 s 0.22/0.46 % (4434)Instructions burned: 3 (million) 0.22/0.46 % (4434)------------------------------ 0.22/0.46 % (4434)------------------------------ 0.24/0.47 % (4435)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_4311 for (1799ds/7Mi) 0.24/0.47 % (4436)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_4311 for (1799ds/3Mi) 0.24/0.47 % (4436)Instruction limit reached! 0.24/0.47 % (4436)------------------------------ 0.24/0.47 % (4436)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.47 % (4436)Termination reason: Unknown 0.24/0.47 % (4436)Termination phase: shuffling 0.24/0.47 0.24/0.47 % (4436)Memory used [KB]: 1151 0.24/0.47 % (4436)Time elapsed: 0.003 s 0.24/0.47 % (4436)Instructions burned: 4 (million) 0.24/0.47 % (4436)------------------------------ 0.24/0.47 % (4436)------------------------------ 0.24/0.47 % (4435)Instruction limit reached! 0.24/0.47 % (4435)------------------------------ 0.24/0.47 % (4435)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.47 % (4435)Termination reason: Unknown 0.24/0.47 % (4435)Termination phase: shuffling 0.24/0.47 0.24/0.47 % (4435)Memory used [KB]: 1279 0.24/0.47 % (4435)Time elapsed: 0.006 s 0.24/0.47 % (4435)Instructions burned: 9 (million) 0.24/0.47 % (4435)------------------------------ 0.24/0.47 % (4435)------------------------------ 0.24/0.47 % (4437)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_4311 for (1799ds/4Mi) 0.24/0.47 % (4437)Instruction limit reached! 0.24/0.47 % (4437)------------------------------ 0.24/0.47 % (4437)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.47 % (4437)Termination reason: Unknown 0.24/0.47 % (4437)Termination phase: shuffling 0.24/0.47 0.24/0.47 % (4437)Memory used [KB]: 1151 0.24/0.47 % (4437)Time elapsed: 0.003 s 0.24/0.47 % (4437)Instructions burned: 4 (million) 0.24/0.47 % (4437)------------------------------ 0.24/0.47 % (4437)------------------------------ 0.24/0.48 % (4438)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_4311 for (1799ds/18Mi) 0.24/0.48 % (4439)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_4311 for (1799ds/710Mi) 0.24/0.48 % (4440)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_4311 for (1799ds/6Mi) 0.24/0.48 % (4438)Instruction limit reached! 0.24/0.48 % (4438)------------------------------ 0.24/0.48 % (4438)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.48 % (4438)Termination reason: Unknown 0.24/0.48 % (4438)Termination phase: Property scanning 0.24/0.48 0.24/0.48 % (4438)Memory used [KB]: 1407 0.24/0.48 % (4438)Time elapsed: 0.009 s 0.24/0.48 % (4438)Instructions burned: 18 (million) 0.24/0.48 % (4438)------------------------------ 0.24/0.48 % (4438)------------------------------ 0.24/0.49 % (4440)Instruction limit reached! 0.24/0.49 % (4440)------------------------------ 0.24/0.49 % (4440)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.49 % (4440)Termination reason: Unknown 0.24/0.49 % (4440)Termination phase: shuffling 0.24/0.49 0.24/0.49 % (4440)Memory used [KB]: 1279 0.24/0.49 % (4440)Time elapsed: 0.005 s 0.24/0.49 % (4440)Instructions burned: 8 (million) 0.24/0.49 % (4440)------------------------------ 0.24/0.49 % (4440)------------------------------ 0.24/0.49 % (4441)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_4311 for (1799ds/902Mi) 0.24/0.50 % (4442)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_4311 for (1799ds/21Mi) 0.24/0.50 % (4443)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_4311 for (1799ds/5Mi) 0.24/0.50 % (4443)Instruction limit reached! 0.24/0.50 % (4443)------------------------------ 0.24/0.50 % (4443)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.50 % (4443)Termination reason: Unknown 0.24/0.50 % (4443)Termination phase: shuffling 0.24/0.50 0.24/0.50 % (4443)Memory used [KB]: 1151 0.24/0.50 % (4443)Time elapsed: 0.004 s 0.24/0.50 % (4443)Instructions burned: 5 (million) 0.24/0.50 % (4443)------------------------------ 0.24/0.50 % (4443)------------------------------ 0.24/0.51 % (4442)Instruction limit reached! 0.24/0.51 % (4442)------------------------------ 0.24/0.51 % (4442)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.51 % (4442)Termination reason: Unknown 0.24/0.51 % (4442)Termination phase: SInE selection 0.24/0.51 0.24/0.51 % (4442)Memory used [KB]: 1407 0.24/0.51 % (4442)Time elapsed: 0.012 s 0.24/0.51 % (4442)Instructions burned: 22 (million) 0.24/0.51 % (4442)------------------------------ 0.24/0.51 % (4442)------------------------------ 0.24/0.52 % (4444)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_4311 for (1799ds/6Mi) 0.24/0.52 % (4419)Instruction limit reached! 0.24/0.52 % (4419)------------------------------ 0.24/0.52 % (4419)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.52 % (4419)Termination reason: Unknown 0.24/0.52 % (4419)Termination phase: Saturation 0.24/0.52 0.24/0.52 % (4419)Memory used [KB]: 6908 0.24/0.52 % (4419)Time elapsed: 0.099 s 0.24/0.52 % (4419)Instructions burned: 183 (million) 0.24/0.52 % (4419)------------------------------ 0.24/0.52 % (4419)------------------------------ 0.24/0.52 % (4444)Instruction limit reached! 0.24/0.52 % (4444)------------------------------ 0.24/0.52 % (4444)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.24/0.52 % (4444)Termination reason: Unknown 0.24/0.52 % (4444)Termination phase: shuffling 0.24/0.52 0.24/0.52 % (4444)Memory used [KB]: 1279 0.24/0.52 % (4444)Time elapsed: 0.006 s 0.24/0.52 % (4444)Instructions burned: 7 (million) 0.24/0.52 % (4444)------------------------------ 0.24/0.52 % (4444)------------------------------ 0.24/0.52 % (4445)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_4311 for (1799ds/377Mi) 0.96/0.53 % (4446)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_4311 for (1798ds/779Mi) 0.96/0.53 % (4447)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_4311 for (1798ds/19Mi) 1.08/0.54 % (4447)Instruction limit reached! 1.08/0.54 % (4447)------------------------------ 1.08/0.54 % (4447)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.08/0.54 % (4447)Termination reason: Unknown 1.08/0.54 % (4447)Termination phase: SInE selection 1.08/0.54 1.08/0.54 % (4447)Memory used [KB]: 1407 1.08/0.54 % (4447)Time elapsed: 0.010 s 1.08/0.54 % (4447)Instructions burned: 20 (million) 1.08/0.54 % (4447)------------------------------ 1.08/0.54 % (4447)------------------------------ 1.08/0.54 % (4439)First to succeed. 1.08/0.55 % (4439)Refutation found. Thanks to Tanya! 1.08/0.55 % SZS status Theorem for E---3.1_4311 1.08/0.55 % SZS output start Proof for E---3.1_4311 1.08/0.55 thf(func_def_0, type, in: $i > $i > $o). 1.08/0.55 thf(func_def_1, type, exu: ($i > $o) > $o). 1.08/0.55 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.08/0.55 thf(func_def_8, type, powerset: $i > $i). 1.08/0.55 thf(func_def_10, type, setunion: $i > $i). 1.08/0.55 thf(func_def_19, type, descr: ($i > $o) > $i). 1.08/0.55 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.08/0.55 thf(func_def_26, type, prop2set: $o > $i). 1.08/0.55 thf(func_def_36, type, nonempty: $i > $o). 1.08/0.55 thf(func_def_69, type, set2prop: $i > $o). 1.08/0.55 thf(func_def_88, type, subset: $i > $i > $o). 1.08/0.55 thf(func_def_89, type, disjoint: $i > $i > $o). 1.08/0.55 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.08/0.55 thf(func_def_109, type, sP1: $i > $i > $o). 1.08/0.55 thf(func_def_110, type, sP2: $i > $o). 1.08/0.55 thf(func_def_111, type, sP3: $i > $i > $o). 1.08/0.55 thf(func_def_112, type, sP4: $i > $i > $o). 1.08/0.55 thf(func_def_113, type, sK5: $i > $i). 1.08/0.55 thf(func_def_115, type, sK7: $i > $i). 1.08/0.55 thf(func_def_119, type, sK11: $i > $o). 1.08/0.55 thf(func_def_121, type, sK13: $i > ($i > $o) > $i). 1.08/0.55 thf(func_def_123, type, sK15: $i > $i). 1.08/0.55 thf(func_def_130, type, sK22: $i > $o). 1.08/0.55 thf(func_def_132, type, sK24: $i > $o). 1.08/0.55 thf(func_def_133, type, sK25: $i > $o). 1.08/0.55 thf(func_def_134, type, sK26: ($i > $o) > ($i > $o) > $i). 1.08/0.55 thf(func_def_135, type, sK27: ($i > $o) > ($i > $o) > $i). 1.08/0.55 thf(func_def_138, type, sK30: ($i > $o) > $i > $i). 1.08/0.55 thf(func_def_140, type, sK32: $i > $o). 1.08/0.55 thf(func_def_144, type, sK36: $i > $i). 1.08/0.55 thf(func_def_145, type, sK37: $i > ($i > $o) > $i). 1.08/0.55 thf(func_def_146, type, sK38: $i > $o). 1.08/0.55 thf(func_def_149, type, sK41: $i > $o). 1.08/0.55 thf(func_def_163, type, sK55: $i > $i > $i). 1.08/0.55 thf(func_def_167, type, sK59: $i > $o). 1.08/0.55 thf(func_def_169, type, sK61: ($i > $o) > $i > $i). 1.08/0.55 thf(func_def_173, type, sK65: $i > $i > $i). 1.08/0.55 thf(func_def_175, type, sK67: $i > $i > $o). 1.08/0.55 thf(func_def_177, type, sK69: $i > $i). 1.08/0.55 thf(func_def_178, type, sK70: $i > $i). 1.08/0.55 thf(func_def_179, type, sK71: $i > ($i > $i > $o) > $i). 1.08/0.55 thf(func_def_180, type, sK72: $i > ($i > $i > $o) > $i). 1.08/0.55 thf(func_def_181, type, sK73: $i > $i > ($i > $i > $o) > $i). 1.08/0.55 thf(func_def_187, type, sK79: $i > $o). 1.08/0.55 thf(func_def_190, type, sK82: $i > $o). 1.08/0.55 thf(func_def_192, type, sK84: ($i > $o) > $i > $i). 1.08/0.55 thf(func_def_195, type, sK87: $i > $o). 1.08/0.55 thf(func_def_196, type, sK88: $i > $o). 1.08/0.55 thf(func_def_197, type, sK89: ($i > $o) > ($i > $o) > $i > $i > $i). 1.08/0.55 thf(func_def_198, type, sK90: ($i > $o) > ($i > $o) > $i > $i > $i). 1.08/0.55 thf(func_def_201, type, sK93: $i > $i > $i). 1.08/0.55 thf(func_def_202, type, sK94: $i > $i > $i). 1.08/0.55 thf(func_def_204, type, sK96: $i > $o). 1.08/0.55 thf(func_def_208, type, sK100: $i > $i > $i). 1.08/0.55 thf(func_def_212, type, sK104: $i > $i > $i). 1.08/0.55 thf(func_def_222, type, sK114: $i > $o). 1.08/0.55 thf(func_def_225, type, sK117: $i > $o). 1.08/0.55 thf(func_def_227, type, sK119: $i > $o). 1.08/0.55 thf(func_def_230, type, sK122: $i > $i). 1.08/0.55 thf(func_def_233, type, sK125: $i > $o). 1.08/0.55 thf(func_def_236, type, sK128: ($i > $o) > $i). 1.08/0.55 thf(func_def_237, type, sK129: ($i > $o) > $i). 1.08/0.55 thf(func_def_238, type, sK130: $i > $o). 1.08/0.55 thf(func_def_246, type, sK138: $i > $i > $i). 1.08/0.55 thf(func_def_250, type, sK142: $i > $o). 1.08/0.55 thf(func_def_251, type, sK143: $i > $o). 1.08/0.55 thf(func_def_252, type, sK144: ($i > $o) > ($i > $o) > $i). 1.08/0.55 thf(func_def_253, type, sK145: ($i > $o) > ($i > $o) > $i). 1.08/0.55 thf(func_def_256, type, sK148: $i > $i > $i). 1.08/0.55 thf(func_def_260, type, sK152: ($i > $o) > $i > $i). 1.08/0.55 thf(func_def_262, type, sK154: $i > $o). 1.08/0.55 thf(func_def_264, type, sK156: $i > $i). 1.08/0.55 thf(func_def_266, type, sK158: ($i > $o) > $i). 1.08/0.55 thf(func_def_267, type, sK159: $i > $o). 1.08/0.55 thf(func_def_275, type, sK167: $i > $o). 1.08/0.55 thf(func_def_277, type, sK169: $i > ($i > $o) > $i). 1.08/0.55 thf(func_def_278, type, sK170: $i > ($i > $o) > $i). 1.08/0.55 thf(func_def_279, type, sK171: $i > $o). 1.08/0.55 thf(func_def_287, type, sK179: $i > $o). 1.08/0.55 thf(func_def_290, type, sK182: $i > $o). 1.08/0.55 thf(func_def_293, type, sK185: $i > $i). 1.08/0.55 thf(func_def_300, type, sK192: $i > $o). 1.08/0.55 thf(func_def_301, type, sK193: $i > $i). 1.08/0.55 thf(func_def_302, type, sK194: ($i > $o) > $i). 1.08/0.55 thf(func_def_313, type, sK205: $o > $i > $i > $i). 1.08/0.55 thf(func_def_314, type, sK206: $i > $o). 1.08/0.55 thf(func_def_315, type, sK207: $i > $i). 1.08/0.55 thf(func_def_316, type, sK208: ($i > $o) > $i). 1.08/0.55 thf(func_def_323, type, sK215: $i > $i > $i). 1.08/0.55 thf(func_def_324, type, sK216: $i > $i > $i). 1.08/0.55 thf(func_def_325, type, sK217: $i > $i > $i). 1.08/0.55 thf(func_def_326, type, sK218: $i > $i > $i). 1.08/0.55 thf(func_def_327, type, sK219: $i > $i > $i > $i). 1.08/0.55 thf(func_def_328, type, sK220: $i > $i). 1.08/0.55 thf(func_def_329, type, sK221: $i > $i). 1.08/0.55 thf(func_def_330, type, sK222: $i > $i). 1.08/0.55 thf(func_def_331, type, sK223: $i > $i). 1.08/0.55 thf(func_def_332, type, sK224: $i > $i > $i > $i). 1.08/0.55 thf(func_def_333, type, sK225: $i > $i > $i > $i). 1.08/0.55 thf(func_def_334, type, sK226: $i > $i > $i). 1.08/0.55 thf(func_def_335, type, sK227: $i > $i > $i). 1.08/0.55 thf(func_def_336, type, sK228: $i > $i > $i). 1.08/0.55 thf(func_def_337, type, sK229: $i > $i). 1.08/0.55 thf(func_def_338, type, sK230: $i > $i > $i). 1.08/0.55 thf(func_def_340, type, sK232: $i > $i). 1.08/0.55 thf(func_def_341, type, sK233: $i > $i). 1.08/0.55 thf(func_def_343, type, ph235: !>[X0: $tType]:(X0)). 1.08/0.55 thf(f1972,plain,( 1.08/0.55 $false), 1.08/0.55 inference(subsumption_resolution,[],[f1934,f1007])). 1.08/0.55 thf(f1007,plain,( 1.08/0.55 ($true != (in @ sK160 @ sK161))), 1.08/0.55 inference(cnf_transformation,[],[f637])). 1.08/0.55 thf(f637,plain,( 1.08/0.55 (notinemptyset = $true) & (subPowSU = $true) & (emptyI = $true) & (eqinunit = $true) & (prop2setI = $true) & (descrp = $true) & (setextAx = $true) & (omega0Ax = $true) & (noeltsimpempty = $true) & (in__Cong = $true) & (subsetI1 = $true) & (exuI3 = $true) & (upairsetIL = $true) & (foundationAx = $true) & (emptyinPowerset = $true) & (inCongP = $true) & (exuI1 = $true) & (setext = $true) & (setadjoinOr = $true) & (nonemptyI1 = $true) & (exuE3u = $true) & (descr__Cong = $true) & (setadjoinIR = $true) & (powersetI = $true) & (emptyE1 = $true) & (dsetconstrER = $true) & (powersetE = $true) & (nonemptyI = $true) & (setunionAx = $true) & (prop2setE = $true) & (exuI2 = $true) & (dsetconstrI = $true) & (vacuousDall = $true) & (omegaSAx = $true) & (notinsingleton = $true) & (wellorderingAx = $true) & (nonemptyImpWitness = $true) & (singletonsswitch = $true) & (dsetconstr__Cong = $true) & (emptyinunitempty = $true) & (omegaIndAx = $true) & (quantDeMorgan2 = $true) & (emptysetimpfalse = $true) & (exuEu = $true) & (uniqinunit = $true) & (eqimpsubset2 = $true) & (powersetAx = $true) & (quantDeMorgan1 = $true) & (notdexE = $true) & (quantDeMorgan4 = $true) & (setoftrueEq = $true) & (setadjoin__Cong = $true) & (subsetI2 = $true) & (powerset__Cong = $true) & (replAx = $true) & (exu__Cong = $true) & (emptyset__Cong = $true) & (quantDeMorgan3 = $true) & (upairsetIR = $true) & (emptysetAx = $true) & (setadjoinAx = $true) & (emptysetsubset = $true) & (dsetconstrEL = $true) & (((in @ sK160 @ sK162) = $true) & ($true != (in @ sK160 @ sK161)) & ($true = (subset @ sK162 @ sK161))) & (setbeta = $true) & (notdallE = $true) & (exuE2 = $true) & (emptysetE = $true) & (setadjoinIL = $true) & (setunionI = $true) & (emptyInPowerset = $true) & (prop2set2propI = $true) & (omega__Cong = $true) & (eqimpsubset1 = $true) & (upairsetE = $true) & (exuE1 = $true) & (nonemptyE1 = $true) & (exuE3e = $true) & (setadjoinE = $true) & (setunion__Cong = $true) & (setunionE = $true)), 1.08/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK160,sK161,sK162])],[f324,f636])). 1.08/0.55 thf(f636,plain,( 1.08/0.55 ? [X0,X1,X2] : (($true = (in @ X0 @ X2)) & ($true != (in @ X0 @ X1)) & ($true = (subset @ X2 @ X1))) => (((in @ sK160 @ sK162) = $true) & ($true != (in @ sK160 @ sK161)) & ($true = (subset @ sK162 @ sK161)))), 1.08/0.55 introduced(choice_axiom,[])). 1.08/0.55 thf(f324,plain,( 1.08/0.55 (notinemptyset = $true) & (subPowSU = $true) & (emptyI = $true) & (eqinunit = $true) & (prop2setI = $true) & (descrp = $true) & (setextAx = $true) & (omega0Ax = $true) & (noeltsimpempty = $true) & (in__Cong = $true) & (subsetI1 = $true) & (exuI3 = $true) & (upairsetIL = $true) & (foundationAx = $true) & (emptyinPowerset = $true) & (inCongP = $true) & (exuI1 = $true) & (setext = $true) & (setadjoinOr = $true) & (nonemptyI1 = $true) & (exuE3u = $true) & (descr__Cong = $true) & (setadjoinIR = $true) & (powersetI = $true) & (emptyE1 = $true) & (dsetconstrER = $true) & (powersetE = $true) & (nonemptyI = $true) & (setunionAx = $true) & (prop2setE = $true) & (exuI2 = $true) & (dsetconstrI = $true) & (vacuousDall = $true) & (omegaSAx = $true) & (notinsingleton = $true) & (wellorderingAx = $true) & (nonemptyImpWitness = $true) & (singletonsswitch = $true) & (dsetconstr__Cong = $true) & (emptyinunitempty = $true) & (omegaIndAx = $true) & (quantDeMorgan2 = $true) & (emptysetimpfalse = $true) & (exuEu = $true) & (uniqinunit = $true) & (eqimpsubset2 = $true) & (powersetAx = $true) & (quantDeMorgan1 = $true) & (notdexE = $true) & (quantDeMorgan4 = $true) & (setoftrueEq = $true) & (setadjoin__Cong = $true) & (subsetI2 = $true) & (powerset__Cong = $true) & (replAx = $true) & (exu__Cong = $true) & (emptyset__Cong = $true) & (quantDeMorgan3 = $true) & (upairsetIR = $true) & (emptysetAx = $true) & (setadjoinAx = $true) & (emptysetsubset = $true) & (dsetconstrEL = $true) & ? [X0,X1,X2] : (($true = (in @ X0 @ X2)) & ($true != (in @ X0 @ X1)) & ($true = (subset @ X2 @ X1))) & (setbeta = $true) & (notdallE = $true) & (exuE2 = $true) & (emptysetE = $true) & (setadjoinIL = $true) & (setunionI = $true) & (emptyInPowerset = $true) & (prop2set2propI = $true) & (omega__Cong = $true) & (eqimpsubset1 = $true) & (upairsetE = $true) & (exuE1 = $true) & (nonemptyE1 = $true) & (exuE3e = $true) & (setadjoinE = $true) & (setunion__Cong = $true) & (setunionE = $true)), 1.08/0.55 inference(flattening,[],[f323])). 1.08/0.55 thf(f323,plain,( 1.08/0.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : ((($true != (in @ X0 @ X1)) & ($true = (in @ X0 @ X2))) & ($true = (subset @ X2 @ X1))) & (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)), 1.08/0.55 inference(ennf_transformation,[],[f178])). 1.08/0.55 thf(f178,plain,( 1.08/0.55 ~((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 = $true) => ! [X0,X1,X2] : (($true = (subset @ X2 @ X1)) => (($true = (in @ X0 @ X2)) => ($true = (in @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.08/0.55 inference(fool_elimination,[],[f177])). 1.08/0.55 thf(f177,plain,( 1.08/0.55 ~(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 => ! [X0,X1,X2] : ((subset @ X2 @ X1) => ((in @ X0 @ X2) => (in @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.08/0.55 inference(rectify,[],[f85])). 1.08/0.55 thf(f85,negated_conjecture,( 1.08/0.55 ~(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 => ! [X1,X4,X3] : ((subset @ X3 @ X4) => ((in @ X1 @ X3) => (in @ X1 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.08/0.55 inference(negated_conjecture,[],[f84])). 1.08/0.55 thf(f84,conjecture,( 1.08/0.55 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 => ! [X1,X4,X3] : ((subset @ X3 @ X4) => ((in @ X1 @ X3) => (in @ X1 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.08/0.55 file('/export/starexec/sandbox/tmp/tmp.mwIC6tJn5Q/E---3.1_4311.p',subsetE)). 1.08/0.55 thf(f1934,plain,( 1.08/0.55 ($true = (in @ sK160 @ sK161))), 1.08/0.55 inference(trivial_inequality_removal,[],[f1914])). 1.08/0.55 thf(f1914,plain,( 1.08/0.55 ($true = (in @ sK160 @ sK161)) | ($false = $true)), 1.08/0.55 inference(superposition,[],[f1708,f1008])). 1.08/0.55 thf(f1008,plain,( 1.08/0.55 ((in @ sK160 @ sK162) = $true)), 1.08/0.55 inference(cnf_transformation,[],[f637])). 1.08/0.55 thf(f1708,plain,( 1.08/0.55 ( ! [X1 : $i] : (($false = (in @ X1 @ sK162)) | ($true = (in @ X1 @ sK161))) )), 1.08/0.55 inference(binary_proxy_clausification,[],[f1707])). 1.08/0.55 thf(f1707,plain,( 1.08/0.55 ( ! [X1 : $i] : (($true = ((in @ X1 @ sK162) => (in @ X1 @ sK161)))) )), 1.08/0.55 inference(beta_eta_normalization,[],[f1706])). 1.08/0.55 thf(f1706,plain,( 1.08/0.55 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ sK162) => (in @ Y0 @ sK161))) @ X1))) )), 1.08/0.55 inference(pi_clausification,[],[f1705])). 1.08/0.55 thf(f1705,plain,( 1.08/0.55 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK162) => (in @ Y0 @ sK161)))))), 1.08/0.55 inference(beta_eta_normalization,[],[f1406])). 1.08/0.55 thf(f1406,plain,( 1.08/0.55 (((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))) @ sK162 @ sK161) = $true)), 1.08/0.55 inference(definition_unfolding,[],[f1006,f1118])). 1.08/0.55 thf(f1118,plain,( 1.08/0.55 (subset = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))))), 1.08/0.55 inference(cnf_transformation,[],[f119])). 1.08/0.55 thf(f119,plain,( 1.08/0.55 (subset = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1))))))))), 1.08/0.55 inference(fool_elimination,[],[f118])). 1.08/0.55 thf(f118,plain,( 1.08/0.55 ((^[X0 : $i, X1 : $i] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)))) = subset)), 1.08/0.55 inference(rectify,[],[f78])). 1.08/0.55 thf(f78,axiom,( 1.08/0.55 ((^[X3 : $i, X4 : $i] : (! [X1] : ((in @ X1 @ X3) => (in @ X1 @ X4)))) = subset)), 1.08/0.55 file('/export/starexec/sandbox/tmp/tmp.mwIC6tJn5Q/E---3.1_4311.p',subset)). 1.08/0.55 thf(f1006,plain,( 1.08/0.55 ($true = (subset @ sK162 @ sK161))), 1.08/0.55 inference(cnf_transformation,[],[f637])). 1.08/0.55 % SZS output end Proof for E---3.1_4311 1.08/0.55 % (4439)------------------------------ 1.08/0.55 % (4439)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.08/0.55 % (4439)Termination reason: Refutation 1.08/0.55 1.08/0.55 % (4439)Memory used [KB]: 7164 1.08/0.55 % (4439)Time elapsed: 0.065 s 1.08/0.55 % (4439)Instructions burned: 130 (million) 1.08/0.55 % (4439)------------------------------ 1.08/0.55 % (4439)------------------------------ 1.08/0.55 % (4418)Success in time 0.137 s 1.08/0.55 EOF