0.08/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.15 % Command : run_vampire %s %d THM 0.16/0.37 % Computer : n019.cluster.edu 0.16/0.37 % Model : x86_64 x86_64 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.37 % Memory : 8042.1875MB 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.37 % CPULimit : 1440 0.16/0.37 % WCLimit : 180 0.16/0.37 % DateTime : Thu Jul 4 07:48:54 EDT 2024 0.16/0.37 % CPUTime : 0.16/0.39 This is a THF_ problem 0.16/0.39 Running higher-order theorem proving 0.25/0.43 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.lzRhuqNZJN/E---3.1_21871.p -m 16384 -t 180 0.25/0.46 % (21983)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_21871 for (1799ds/2Mi) 0.25/0.46 % (21984)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_21871 for (1799ds/275Mi) 0.25/0.46 % (21985)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_21871 for (1799ds/18Mi) 0.25/0.46 % (21983)Instruction limit reached! 0.25/0.46 % (21983)------------------------------ 0.25/0.46 % (21983)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.46 % (21983)Termination reason: Unknown 0.25/0.46 % (21983)Termination phase: shuffling 0.25/0.46 0.25/0.46 % (21983)Memory used [KB]: 1279 0.25/0.46 % (21983)Time elapsed: 0.004 s 0.25/0.46 % (21983)Instructions burned: 2 (million) 0.25/0.46 % (21983)------------------------------ 0.25/0.46 % (21983)------------------------------ 0.25/0.47 % (21979)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_21871 for (1799ds/183Mi) 0.25/0.48 % (21980)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_21871 for (1799ds/4Mi) 0.25/0.48 % (21981)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_21871 for (1799ds/27Mi) 0.25/0.48 % (21980)Instruction limit reached! 0.25/0.48 % (21980)------------------------------ 0.25/0.48 % (21980)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (21980)Termination reason: Unknown 0.25/0.48 % (21980)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (21980)Memory used [KB]: 1407 0.25/0.48 % (21980)Time elapsed: 0.004 s 0.25/0.48 % (21980)Instructions burned: 5 (million) 0.25/0.48 % (21980)------------------------------ 0.25/0.48 % (21980)------------------------------ 0.25/0.48 % (21986)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_21871 for (1799ds/3Mi) 0.25/0.48 % (21986)Instruction limit reached! 0.25/0.48 % (21986)------------------------------ 0.25/0.48 % (21986)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (21986)Termination reason: Unknown 0.25/0.48 % (21986)Termination phase: shuffling 0.25/0.48 0.25/0.48 % (21986)Memory used [KB]: 1279 0.25/0.48 % (21986)Time elapsed: 0.004 s 0.25/0.48 % (21986)Instructions burned: 3 (million) 0.25/0.48 % (21986)------------------------------ 0.25/0.48 % (21986)------------------------------ 0.25/0.48 % (21985)Instruction limit reached! 0.25/0.48 % (21985)------------------------------ 0.25/0.48 % (21985)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.48 % (21985)Termination reason: Unknown 0.25/0.48 % (21985)Termination phase: Property scanning 0.25/0.48 0.25/0.48 % (21985)Memory used [KB]: 1663 0.25/0.48 % (21985)Time elapsed: 0.013 s 0.25/0.48 % (21985)Instructions burned: 18 (million) 0.25/0.48 % (21985)------------------------------ 0.25/0.48 % (21985)------------------------------ 0.25/0.49 % (21982)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_21871 for (1799ds/2Mi) 0.25/0.49 % (21982)Instruction limit reached! 0.25/0.49 % (21982)------------------------------ 0.25/0.49 % (21982)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.25/0.49 % (21982)Termination reason: Unknown 0.25/0.49 % (21982)Termination phase: shuffling 0.25/0.49 0.25/0.49 % (21982)Memory used [KB]: 1279 0.25/0.49 % (21982)Time elapsed: 0.003 s 0.25/0.49 % (21982)Instructions burned: 2 (million) 0.25/0.49 % (21982)------------------------------ 0.25/0.49 % (21982)------------------------------ 0.25/0.49 % (21987)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_21871 for (1799ds/37Mi) 0.29/0.49 % (21981)Instruction limit reached! 0.29/0.49 % (21981)------------------------------ 0.29/0.49 % (21981)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.49 % (21981)Termination reason: Unknown 0.29/0.49 % (21981)Termination phase: Property scanning 0.29/0.49 0.29/0.49 % (21981)Memory used [KB]: 1918 0.29/0.49 % (21981)Time elapsed: 0.019 s 0.29/0.49 % (21981)Instructions burned: 28 (million) 0.29/0.49 % (21981)------------------------------ 0.29/0.49 % (21981)------------------------------ 0.29/0.49 % (21989)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_21871 for (1799ds/3Mi) 0.29/0.50 % (21989)Instruction limit reached! 0.29/0.50 % (21989)------------------------------ 0.29/0.50 % (21989)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.50 % (21989)Termination reason: Unknown 0.29/0.50 % (21989)Termination phase: shuffling 0.29/0.50 0.29/0.50 % (21989)Memory used [KB]: 1407 0.29/0.50 % (21989)Time elapsed: 0.003 s 0.29/0.50 % (21989)Instructions burned: 5 (million) 0.29/0.50 % (21989)------------------------------ 0.29/0.50 % (21989)------------------------------ 0.29/0.50 % (21988)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_21871 for (1799ds/15Mi) 0.29/0.51 % (21990)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_21871 for (1799ds/1041Mi) 0.29/0.51 % (21992)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_21871 for (1799ds/16Mi) 0.29/0.51 % (21988)Instruction limit reached! 0.29/0.51 % (21988)------------------------------ 0.29/0.51 % (21988)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.51 % (21988)Termination reason: Unknown 0.29/0.51 % (21988)Termination phase: Property scanning 0.29/0.51 0.29/0.51 % (21988)Memory used [KB]: 1663 0.29/0.51 % (21988)Time elapsed: 0.009 s 0.29/0.51 % (21988)Instructions burned: 15 (million) 0.29/0.51 % (21988)------------------------------ 0.29/0.51 % (21988)------------------------------ 0.29/0.51 % (21987)Instruction limit reached! 0.29/0.51 % (21987)------------------------------ 0.29/0.51 % (21987)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.51 % (21987)Termination reason: Unknown 0.29/0.51 % (21987)Termination phase: Property scanning 0.29/0.51 0.29/0.51 % (21987)Memory used [KB]: 1791 0.29/0.51 % (21987)Time elapsed: 0.017 s 0.29/0.51 % (21987)Instructions burned: 37 (million) 0.29/0.51 % (21987)------------------------------ 0.29/0.51 % (21987)------------------------------ 0.29/0.51 % (21991)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_21871 for (1799ds/7Mi) 0.29/0.51 % (21992)Instruction limit reached! 0.29/0.51 % (21992)------------------------------ 0.29/0.51 % (21992)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.51 % (21992)Termination reason: Unknown 0.29/0.51 % (21992)Termination phase: shuffling 0.29/0.51 0.29/0.51 % (21992)Memory used [KB]: 1663 0.29/0.51 % (21992)Time elapsed: 0.007 s 0.29/0.51 % (21992)Instructions burned: 18 (million) 0.29/0.51 % (21992)------------------------------ 0.29/0.51 % (21992)------------------------------ 0.29/0.51 % (21991)Instruction limit reached! 0.29/0.51 % (21991)------------------------------ 0.29/0.51 % (21991)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.51 % (21991)Termination reason: Unknown 0.29/0.51 % (21991)Termination phase: shuffling 0.29/0.51 0.29/0.51 % (21991)Memory used [KB]: 1407 0.29/0.51 % (21991)Time elapsed: 0.006 s 0.29/0.51 % (21991)Instructions burned: 8 (million) 0.29/0.51 % (21991)------------------------------ 0.29/0.51 % (21991)------------------------------ 0.29/0.52 % (21993)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_21871 for (1799ds/3Mi) 0.29/0.52 % (21995)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_21871 for (1799ds/7Mi) 0.29/0.52 % (21994)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_21871 for (1799ds/3Mi) 0.29/0.52 % (21993)Instruction limit reached! 0.29/0.52 % (21993)------------------------------ 0.29/0.52 % (21993)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.52 % (21993)Termination reason: Unknown 0.29/0.52 % (21993)Termination phase: shuffling 0.29/0.52 0.29/0.52 % (21993)Memory used [KB]: 1279 0.29/0.52 % (21993)Time elapsed: 0.003 s 0.29/0.52 % (21993)Instructions burned: 3 (million) 0.29/0.52 % (21993)------------------------------ 0.29/0.52 % (21993)------------------------------ 0.29/0.52 % (21994)Instruction limit reached! 0.29/0.52 % (21994)------------------------------ 0.29/0.52 % (21994)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.52 % (21994)Termination reason: Unknown 0.29/0.52 % (21994)Termination phase: shuffling 0.29/0.52 0.29/0.52 % (21994)Memory used [KB]: 1407 0.29/0.52 % (21994)Time elapsed: 0.004 s 0.29/0.52 % (21994)Instructions burned: 4 (million) 0.29/0.52 % (21994)------------------------------ 0.29/0.52 % (21994)------------------------------ 0.29/0.52 % (21995)Instruction limit reached! 0.29/0.52 % (21995)------------------------------ 0.29/0.52 % (21995)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.52 % (21995)Termination reason: Unknown 0.29/0.52 % (21995)Termination phase: shuffling 0.29/0.52 0.29/0.52 % (21995)Memory used [KB]: 1407 0.29/0.52 % (21995)Time elapsed: 0.004 s 0.29/0.52 % (21995)Instructions burned: 9 (million) 0.29/0.52 % (21995)------------------------------ 0.29/0.52 % (21995)------------------------------ 0.29/0.53 % (21996)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_21871 for (1799ds/3Mi) 0.29/0.53 % (21996)Instruction limit reached! 0.29/0.53 % (21996)------------------------------ 0.29/0.53 % (21996)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.53 % (21996)Termination reason: Unknown 0.29/0.53 % (21996)Termination phase: shuffling 0.29/0.53 0.29/0.53 % (21996)Memory used [KB]: 1279 0.29/0.53 % (21996)Time elapsed: 0.004 s 0.29/0.53 % (21996)Instructions burned: 4 (million) 0.29/0.53 % (21996)------------------------------ 0.29/0.53 % (21996)------------------------------ 0.29/0.53 % (21997)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_21871 for (1799ds/4Mi) 0.29/0.54 % (21997)Instruction limit reached! 0.29/0.54 % (21997)------------------------------ 0.29/0.54 % (21997)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.54 % (21997)Termination reason: Unknown 0.29/0.54 % (21997)Termination phase: shuffling 0.29/0.54 0.29/0.54 % (21997)Memory used [KB]: 1407 0.29/0.54 % (21997)Time elapsed: 0.003 s 0.29/0.54 % (21997)Instructions burned: 5 (million) 0.29/0.54 % (21997)------------------------------ 0.29/0.54 % (21997)------------------------------ 0.29/0.54 % (21999)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_21871 for (1799ds/710Mi) 0.29/0.54 % (21998)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_21871 for (1799ds/18Mi) 0.29/0.55 % (22001)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_21871 for (1799ds/902Mi) 0.29/0.55 % (21979)Instruction limit reached! 0.29/0.55 % (21979)------------------------------ 0.29/0.55 % (21979)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.55 % (21979)Termination reason: Unknown 0.29/0.55 % (21979)Termination phase: Saturation 0.29/0.55 0.29/0.55 % (21979)Memory used [KB]: 7547 0.29/0.55 % (21979)Time elapsed: 0.080 s 0.29/0.55 % (21979)Instructions burned: 184 (million) 0.29/0.55 % (21979)------------------------------ 0.29/0.55 % (21979)------------------------------ 0.29/0.55 % (21998)Instruction limit reached! 0.29/0.55 % (21998)------------------------------ 0.29/0.55 % (21998)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.55 % (21998)Termination reason: Unknown 0.29/0.55 % (21998)Termination phase: shuffling 0.29/0.55 0.29/0.55 % (21998)Memory used [KB]: 1663 0.29/0.55 % (21998)Time elapsed: 0.010 s 0.29/0.55 % (21998)Instructions burned: 19 (million) 0.29/0.55 % (21998)------------------------------ 0.29/0.55 % (21998)------------------------------ 0.29/0.55 % (22000)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_21871 for (1799ds/6Mi) 0.29/0.55 % (22000)Instruction limit reached! 0.29/0.55 % (22000)------------------------------ 0.29/0.55 % (22000)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.55 % (22000)Termination reason: Unknown 0.29/0.55 % (22000)Termination phase: shuffling 0.29/0.55 0.29/0.55 % (22000)Memory used [KB]: 1407 0.29/0.55 % (22000)Time elapsed: 0.006 s 0.29/0.55 % (22000)Instructions burned: 7 (million) 0.29/0.55 % (22000)------------------------------ 0.29/0.55 % (22000)------------------------------ 0.29/0.56 % (22002)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_21871 for (1798ds/21Mi) 0.29/0.56 % (22002)Instruction limit reached! 0.29/0.56 % (22002)------------------------------ 0.29/0.56 % (22002)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.56 % (22002)Termination reason: Unknown 0.29/0.56 % (22002)Termination phase: shuffling 0.29/0.56 0.29/0.56 % (22002)Memory used [KB]: 1791 0.29/0.56 % (22002)Time elapsed: 0.008 s 0.29/0.56 % (22002)Instructions burned: 23 (million) 0.29/0.56 % (22002)------------------------------ 0.29/0.56 % (22002)------------------------------ 0.29/0.56 % (22003)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_21871 for (1798ds/5Mi) 0.29/0.57 % (22004)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_21871 for (1798ds/6Mi) 0.29/0.57 % (22003)Instruction limit reached! 0.29/0.57 % (22003)------------------------------ 0.29/0.57 % (22003)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.57 % (22003)Termination reason: Unknown 0.29/0.57 % (22003)Termination phase: shuffling 0.29/0.57 0.29/0.57 % (22003)Memory used [KB]: 1407 0.29/0.57 % (22003)Time elapsed: 0.005 s 0.29/0.57 % (22003)Instructions burned: 7 (million) 0.29/0.57 % (22003)------------------------------ 0.29/0.57 % (22003)------------------------------ 0.29/0.57 % (22004)Instruction limit reached! 0.29/0.57 % (22004)------------------------------ 0.29/0.57 % (22004)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.57 % (22004)Termination reason: Unknown 0.29/0.57 % (22004)Termination phase: shuffling 0.29/0.57 0.29/0.57 % (22004)Memory used [KB]: 1407 0.29/0.57 % (22004)Time elapsed: 0.004 s 0.29/0.57 % (22004)Instructions burned: 8 (million) 0.29/0.57 % (22004)------------------------------ 0.29/0.57 % (22004)------------------------------ 0.29/0.57 % (22005)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_21871 for (1798ds/377Mi) 0.29/0.58 % (22007)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_21871 for (1798ds/19Mi) 0.29/0.59 % (22006)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_21871 for (1798ds/779Mi) 0.29/0.59 % (22007)Instruction limit reached! 0.29/0.59 % (22007)------------------------------ 0.29/0.59 % (22007)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.29/0.59 % (22007)Termination reason: Unknown 0.29/0.59 % (22007)Termination phase: shuffling 0.29/0.59 0.29/0.59 % (22007)Memory used [KB]: 1663 0.29/0.59 % (22007)Time elapsed: 0.009 s 0.29/0.59 % (22007)Instructions burned: 19 (million) 0.29/0.59 % (22007)------------------------------ 0.29/0.59 % (22007)------------------------------ 1.13/0.60 % (22008)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_21871 for (1798ds/879Mi) 1.26/0.61 % (21984)Instruction limit reached! 1.26/0.61 % (21984)------------------------------ 1.26/0.61 % (21984)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.26/0.61 % (21984)Termination reason: Unknown 1.26/0.61 % (21984)Termination phase: Saturation 1.26/0.61 1.26/0.61 % (21984)Memory used [KB]: 8443 1.26/0.61 % (21984)Time elapsed: 0.151 s 1.26/0.61 % (21984)Instructions burned: 276 (million) 1.26/0.61 % (21984)------------------------------ 1.26/0.61 % (21984)------------------------------ 1.26/0.62 % (22009)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_21871 for (1798ds/17Mi) 1.35/0.63 % (22009)Instruction limit reached! 1.35/0.63 % (22009)------------------------------ 1.35/0.63 % (22009)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.35/0.63 % (22009)Termination reason: Unknown 1.35/0.63 % (22009)Termination phase: shuffling 1.35/0.63 1.35/0.63 % (22009)Memory used [KB]: 1663 1.35/0.63 % (22009)Time elapsed: 0.007 s 1.35/0.63 % (22009)Instructions burned: 17 (million) 1.35/0.63 % (22009)------------------------------ 1.35/0.63 % (22009)------------------------------ 1.35/0.64 % (22010)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_21871 for (1797ds/3Mi) 1.35/0.64 % (22010)Instruction limit reached! 1.35/0.64 % (22010)------------------------------ 1.35/0.64 % (22010)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.35/0.64 % (22010)Termination reason: Unknown 1.35/0.64 % (22010)Termination phase: shuffling 1.35/0.64 1.35/0.64 % (22010)Memory used [KB]: 1279 1.35/0.64 % (22010)Time elapsed: 0.003 s 1.35/0.64 % (22010)Instructions burned: 3 (million) 1.35/0.64 % (22010)------------------------------ 1.35/0.64 % (22010)------------------------------ 1.35/0.65 % (22001)First to succeed. 1.35/0.65 % (22011)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_21871 for (1797ds/30Mi) 1.35/0.65 % (22001)Refutation found. Thanks to Tanya! 1.35/0.65 % SZS status Theorem for E---3.1_21871 1.35/0.65 % SZS output start Proof for E---3.1_21871 1.35/0.65 thf(func_def_0, type, in: $i > $i > $o). 1.35/0.65 thf(func_def_1, type, exu: ($i > $o) > $o). 1.35/0.65 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.35/0.65 thf(func_def_8, type, powerset: $i > $i). 1.35/0.65 thf(func_def_10, type, setunion: $i > $i). 1.35/0.65 thf(func_def_19, type, descr: ($i > $o) > $i). 1.35/0.65 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.35/0.65 thf(func_def_26, type, prop2set: $o > $i). 1.35/0.65 thf(func_def_36, type, nonempty: $i > $o). 1.35/0.65 thf(func_def_69, type, set2prop: $i > $o). 1.35/0.65 thf(func_def_88, type, subset: $i > $i > $o). 1.35/0.65 thf(func_def_89, type, disjoint: $i > $i > $o). 1.35/0.65 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.35/0.65 thf(func_def_114, type, binunion: $i > $i > $i). 1.35/0.65 thf(func_def_122, type, binintersect: $i > $i > $i). 1.35/0.65 thf(func_def_135, type, regular: $i > $o). 1.35/0.65 thf(func_def_136, type, setminus: $i > $i > $i). 1.35/0.65 thf(func_def_147, type, symdiff: $i > $i > $i). 1.35/0.65 thf(func_def_153, type, iskpair: $i > $o). 1.35/0.65 thf(func_def_158, type, kpair: $i > $i > $i). 1.35/0.65 thf(func_def_160, type, cartprod: $i > $i > $i). 1.35/0.65 thf(func_def_177, type, singleton: $i > $o). 1.35/0.65 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.35/0.65 thf(func_def_184, type, atmost1p: $i > $o). 1.35/0.65 thf(func_def_185, type, atleast2p: $i > $o). 1.35/0.65 thf(func_def_186, type, atmost2p: $i > $o). 1.35/0.65 thf(func_def_187, type, upairsetp: $i > $o). 1.35/0.65 thf(func_def_191, type, kfst: $i > $i). 1.35/0.65 thf(func_def_203, type, ksnd: $i > $i). 1.35/0.65 thf(func_def_223, type, sP3: $i > $i > $o). 1.35/0.65 thf(func_def_224, type, sP4: $i > $o). 1.35/0.65 thf(func_def_225, type, sP5: $i > $i > $o). 1.35/0.65 thf(func_def_226, type, sP6: $i > $i > $o). 1.35/0.65 thf(func_def_227, type, sP7: $o > $i > $i > $i > $o). 1.35/0.65 thf(func_def_228, type, sK8: $i > $o). 1.35/0.65 thf(func_def_231, type, sK11: $i > ($i > $o) > $i). 1.35/0.65 thf(func_def_232, type, sK12: $i > ($i > $o) > $i). 1.35/0.65 thf(func_def_238, type, sK18: $i > $i > $o). 1.35/0.65 thf(func_def_240, type, sK20: $i > $i). 1.35/0.65 thf(func_def_241, type, sK21: $i > $i). 1.35/0.65 thf(func_def_242, type, sK22: $i > ($i > $i > $o) > $i). 1.35/0.65 thf(func_def_243, type, sK23: $i > ($i > $i > $o) > $i). 1.35/0.65 thf(func_def_244, type, sK24: $i > $i > ($i > $i > $o) > $i). 1.35/0.65 thf(func_def_252, type, sK32: $i > $i). 1.35/0.65 thf(func_def_256, type, sK36: $i > $i). 1.35/0.65 thf(func_def_262, type, sK42: $i > $i > $i). 1.35/0.65 thf(func_def_263, type, sK43: $i > $i > $i). 1.35/0.65 thf(func_def_268, type, sK48: $i > $o). 1.35/0.65 thf(func_def_269, type, sK49: $i > $i). 1.35/0.65 thf(func_def_270, type, sK50: ($i > $o) > $i). 1.35/0.65 thf(func_def_271, type, sK51: $i > $o). 1.35/0.65 thf(func_def_274, type, sK54: $i > ($i > $o) > $i). 1.35/0.65 thf(func_def_277, type, sK57: $i > $o). 1.35/0.65 thf(func_def_280, type, sK60: $i > ($i > $o) > $i). 1.35/0.65 thf(func_def_291, type, sK71: $i > $o). 1.35/0.65 thf(func_def_293, type, sK73: ($i > $o) > $i > $i). 1.35/0.65 thf(func_def_303, type, sK83: ($i > $o) > ($i > $o) > $i > $i > $i). 1.35/0.65 thf(func_def_304, type, sK84: ($i > $o) > ($i > $o) > $i > $i > $i). 1.35/0.65 thf(func_def_307, type, sK87: $i > $o). 1.35/0.65 thf(func_def_308, type, sK88: $i > $o). 1.35/0.65 thf(func_def_313, type, sK93: $i > $o). 1.35/0.65 thf(func_def_316, type, sK96: $i > $i > $i). 1.35/0.65 thf(func_def_324, type, sK104: $i > $i > $i). 1.35/0.65 thf(func_def_328, type, sK108: $i > $o). 1.35/0.65 thf(func_def_331, type, sK111: $i > $o). 1.35/0.65 thf(func_def_332, type, sK112: $i > $o). 1.35/0.65 thf(func_def_333, type, sK113: ($i > $o) > ($i > $o) > $i). 1.35/0.65 thf(func_def_334, type, sK114: ($i > $o) > ($i > $o) > $i). 1.35/0.65 thf(func_def_335, type, sK115: $i > $o). 1.35/0.65 thf(func_def_336, type, sK116: ($i > $o) > $i). 1.35/0.65 thf(func_def_339, type, sK119: ($i > $o) > $i > $i). 1.35/0.65 thf(func_def_341, type, sK121: $i > $o). 1.35/0.65 thf(func_def_349, type, sK129: $i > $i > $i). 1.35/0.65 thf(func_def_357, type, sK137: $i > $i > $i). 1.35/0.65 thf(func_def_373, type, sK153: $i > $i). 1.35/0.65 thf(func_def_375, type, sK155: $i > $i). 1.35/0.65 thf(func_def_388, type, sK168: $i > $i). 1.35/0.65 thf(func_def_390, type, sK170: $i > $i > $i). 1.35/0.65 thf(func_def_393, type, sK173: $i > $o). 1.35/0.65 thf(func_def_402, type, sK182: $i > ($i > $o) > $i). 1.35/0.65 thf(func_def_403, type, sK183: $i > $o). 1.35/0.65 thf(func_def_407, type, sK187: $i > $i > $i). 1.35/0.65 thf(func_def_433, type, sK213: $i > $o). 1.35/0.65 thf(func_def_449, type, sK229: $i > $i). 1.35/0.65 thf(func_def_470, type, sK250: $i > $o). 1.35/0.65 thf(func_def_475, type, sK255: $i > $o). 1.35/0.65 thf(func_def_478, type, sK258: $i > ($i > $o) > $i). 1.35/0.65 thf(func_def_479, type, sK259: $i > ($i > $o) > $i). 1.35/0.65 thf(func_def_496, type, sK276: $i > $i > $i > $i). 1.35/0.65 thf(func_def_497, type, sK277: $i > $i > $i > $i). 1.35/0.65 thf(func_def_501, type, sK281: $i > $i). 1.35/0.65 thf(func_def_504, type, sK284: $i > $o). 1.35/0.65 thf(func_def_506, type, sK286: ($i > $o) > $i > $i). 1.35/0.65 thf(func_def_517, type, sK297: $i > $o). 1.35/0.65 thf(func_def_518, type, sK298: $i > $o). 1.35/0.65 thf(func_def_519, type, sK299: ($i > $o) > ($i > $o) > $i). 1.35/0.65 thf(func_def_520, type, sK300: ($i > $o) > ($i > $o) > $i). 1.35/0.65 thf(func_def_525, type, sK305: $i > $o). 1.35/0.65 thf(func_def_528, type, sK308: $i > ($i > $o) > $i). 1.35/0.65 thf(func_def_532, type, sK312: $i > $i > $i). 1.35/0.65 thf(func_def_544, type, sK324: $i > $o). 1.35/0.65 thf(func_def_546, type, sK326: $i > $o). 1.35/0.65 thf(func_def_553, type, sK333: $i > $o). 1.35/0.65 thf(func_def_555, type, sK335: $i > ($i > $o) > $i). 1.35/0.65 thf(func_def_570, type, sK350: $i > $i > $i). 1.35/0.65 thf(func_def_576, type, sK356: $i > $o). 1.35/0.65 thf(func_def_580, type, sK360: $o > $i > $i > $i). 1.35/0.65 thf(func_def_595, type, sK375: $i > $o). 1.35/0.65 thf(func_def_604, type, sK384: $i > $o). 1.35/0.65 thf(func_def_605, type, sK385: ($i > $o) > $i > $i > $i). 1.35/0.65 thf(func_def_607, type, sK387: $i > $o). 1.35/0.65 thf(func_def_626, type, sK406: $i > $i > $i). 1.35/0.65 thf(func_def_627, type, sK407: $i > $i > $i). 1.35/0.65 thf(func_def_628, type, sK408: $i > $i > $i). 1.35/0.65 thf(func_def_629, type, sK409: $i > $i > $i). 1.35/0.65 thf(func_def_630, type, sK410: $i > $i > $i). 1.35/0.65 thf(func_def_631, type, sK411: $i > $i > $i > $i). 1.35/0.65 thf(func_def_632, type, sK412: $i > $i). 1.35/0.65 thf(func_def_633, type, sK413: $i > $i). 1.35/0.65 thf(func_def_634, type, sK414: $i > $i). 1.35/0.65 thf(func_def_635, type, sK415: $i > $i). 1.35/0.65 thf(func_def_636, type, sK416: $i > $i > $i). 1.35/0.65 thf(func_def_637, type, sK417: $i > $i > $i > $i). 1.35/0.65 thf(func_def_638, type, sK418: $i > $i > $i > $i). 1.35/0.65 thf(func_def_639, type, sK419: $i > $i > $i). 1.35/0.65 thf(func_def_640, type, sK420: $i > $i > $i). 1.35/0.65 thf(func_def_641, type, sK421: $i > $i). 1.35/0.65 thf(func_def_643, type, sK423: $i > $i). 1.35/0.65 thf(func_def_644, type, sK424: $i > $i). 1.35/0.65 thf(func_def_645, type, sK425: ($i > $o) > $i). 1.35/0.65 thf(func_def_646, type, sK426: $i > $o). 1.35/0.65 thf(func_def_647, type, sK427: $i > $i). 1.35/0.65 thf(func_def_670, type, sK450: ($i > $o) > $i). 1.35/0.65 thf(func_def_671, type, sK451: ($i > $o) > $i). 1.35/0.65 thf(func_def_672, type, sK452: $i > $o). 1.35/0.65 thf(func_def_699, type, sK479: $i > $o). 1.35/0.65 thf(func_def_701, type, sK481: $i > ($i > $o) > $i). 1.35/0.65 thf(func_def_705, type, sK485: $i > $o). 1.35/0.65 thf(func_def_710, type, sK490: $i > $o). 1.35/0.65 thf(func_def_715, type, ph495: !>[X0: $tType]:(X0)). 1.35/0.65 thf(f3976,plain,( 1.35/0.65 $false), 1.35/0.65 inference(avatar_sat_refutation,[],[f3969,f3975])). 1.35/0.65 thf(f3975,plain,( 1.35/0.65 spl494_9), 1.35/0.65 inference(avatar_split_clause,[],[f2806,f3161])). 1.35/0.65 thf(f3161,plain,( 1.35/0.65 spl494_9 <=> ((in @ sK147 @ sK146) = $true)), 1.35/0.65 introduced(avatar_definition,[new_symbols(naming,[spl494_9])])). 1.35/0.65 thf(f2806,plain,( 1.35/0.65 ((in @ sK147 @ sK146) = $true)), 1.35/0.65 inference(trivial_inequality_removal,[],[f2805])). 1.35/0.65 thf(f2805,plain,( 1.35/0.65 ($true != $true) | ((in @ sK147 @ sK146) = $true)), 1.35/0.65 inference(forward_demodulation,[],[f2802,f1924])). 1.35/0.65 thf(f1924,plain,( 1.35/0.65 (ksndpairEq = $true)), 1.35/0.65 inference(cnf_transformation,[],[f1000])). 1.35/0.65 thf(f1000,plain,( 1.35/0.65 (notequalI2 = $true) & (symdiffIneg1 = $true) & (setukpairinjL2 = $true) & (subsetE = $true) & (powersetI = $true) & (emptyinPowerset = $true) & (setextsub = $true) & (omegaIndAx = $true) & (notsubsetI = $true) & (setunion__Cong = $true) & (setext = $true) & (binunionLsub = $true) & (exu__Cong = $true) & (dsetconstr__Cong = $true) & (emptyset__Cong = $true) & (binunionRsub = $true) & (omegaSAx = $true) & (singletoninpowunion = $true) & (binintersectRsub = $true) & (ex1I = $true) & (powersetAx = $true) & (upairequniteq = $true) & (prop2setI = $true) & (binintersectEL = $true) & (emptysetimpfalse = $true) & (setadjoinIL = $true) & (kpairiskpair = $true) & (ksndpairEq = $true) & (dsetconstrER = $true) & (upairset2E = $true) & (foundationAx = $true) & (kfstsingleton = $true) & (setoftrueEq = $true) & (singletonsubset = $true) & (bs114d = $true) & (inCongP = $true) & (setadjoinOr = $true) & (binunionE = $true) & (emptysetE = $true) & (upairsetIR = $true) & (omega0Ax = $true) & (nonemptyImpWitness = $true) & (setunionE = $true) & (eqinunit = $true) & (singletonprop = $true) & (uniqinunit = $true) & (symdiffI1 = $true) & (prop2setE = $true) & (subsetemptysetimpeq = $true) & (eqimpsubset2 = $true) & (exuE1 = $true) & (ubforcartprodlem2 = $true) & (descr__Cong = $true) & (setbeta = $true) & (setminusLsub = $true) & (exuE3u = $true) & (singletoninpowerset = $true) & (setunionAx = $true) & (cartprodfstin = $true) & (powersetE1 = $true) & (exuI3 = $true) & (subPowSU = $true) & (ex1E1 = $true) & (setunionE2 = $true) & (notinsingleton = $true) & (setadjoin__Cong = $true) & (cartprodmempair1 = $true) & (kfstpairEq = $true) & (upairset2IR = $true) & (prop2set2propI = $true) & (setadjoinAx = $true) & (upairsubunion = $true) & (emptyinunitempty = $true) & (notdallE = $true) & (nonemptyI = $true) & (setadjoinE = $true) & (exuEu = $true) & (emptysetAx = $true) & (setunionI = $true) & (sepInPowerset = $true) & (cartprodpairin = $true) & (subsetI2 = $true) & (descrp = $true) & (powersetsubset = $true) & (notinemptyset = $true) & (setunionsingleton2 = $true) & (binunionIR = $true) & (binintersectSubset4 = $true) & (nonemptyE1 = $true) & (disjointsetsI1 = $true) & (notdexE = $true) & (setminusERneg = $true) & (singletonsswitch = $true) & (binunionIL = $true) & (notequalI1 = $true) & (setminusSubset2 = $true) & (symdiffE = $true) & (vacuousDall = $true) & (setextAx = $true) & (dsetconstrEL = $true) & (binunionEcases = $true) & (powerset__Cong = $true) & (subsetTrans = $true) & (eqimpsubset1 = $true) & (kpairsurjEq = $true) & (binintersectLsub = $true) & (exuI2 = $true) & (setminusELneg = $true) & (setadjoinSub = $true) & (setminusEL = $true) & (inPowerset = $true) & (setadjoinSub2 = $true) & (replAx = $true) & (binintersectSubset1 = $true) & (setukpairIL = $true) & (upairsetE = $true) & (symdiffI2 = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan2 = $true) & (emptyInPowerset = $true) & (theprop = $true) & (setukpairinjR2 = $true) & (sepSubset = $true) & (cartprodsndin = $true) & (quantDeMorgan3 = $true) & (exuI1 = $true) & (quantDeMorgan1 = $true) & (secondinupair = $true) & (cartprodpairmemEL = $true) & (setminusIRneg = $true) & (((in @ sK147 @ sK146) != $true) & ($true = (in @ (kpair @ sK148 @ sK147) @ (cartprod @ sK145 @ sK146)))) & (powersetI1 = $true) & (setunionsingleton = $true) & (setukpairinjL = $true) & (setminusER = $true) & (binintersectSubset5 = $true) & (omega__Cong = $true) & (binintersectSubset2 = $true) & (emptyI = $true) & (upairsetIL = $true) & (setukpairinjR1 = $true) & (setukpairinjR = $true) & (powersetE = $true) & (setukpairinjL1 = $true) & (subsetRefl = $true) & (ksndsingleton = $true) & (setukpairinjR11 = $true) & (singletonsuniq = $true) & (nonemptyI1 = $true) & (setminusI = $true) & (setminusSubset1 = $true) & (subsetE2 = $true) & (kpairp = $true) & (setukpairIR = $true) & (noeltsimpempty = $true) & (setunionsingleton1 = $true) & (upairinpowunion = $true) & (ubforcartprodlem1 = $true) & (setadjoinIR = $true) & (binintersectER = $true) & (exuE2 = $true) & (dsetconstrI = $true) & (ubforcartprodlem3 = $true) & (setukpairinjR12 = $true) & (exuE3e = $true) & (wellorderingAx = $true) & (binintersectI = $true) & (subsetI1 = $true) & (ex1I2 = $true) & (subset2powerset = $true) & (binintersectSubset3 = $true) & (symdiffIneg2 = $true) & (emptyE1 = $true) & (emptysetsubset = $true) & (in__Cong = $true) & (cartprodmempair = $true) & (setminusILneg = $true)), 1.35/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK145,sK146,sK147,sK148])],[f673,f999])). 1.35/0.65 thf(f999,plain,( 1.35/0.65 ? [X0,X1,X2,X3] : (((in @ X2 @ X1) != $true) & ((in @ (kpair @ X3 @ X2) @ (cartprod @ X0 @ X1)) = $true)) => (((in @ sK147 @ sK146) != $true) & ($true = (in @ (kpair @ sK148 @ sK147) @ (cartprod @ sK145 @ sK146))))), 1.35/0.65 introduced(choice_axiom,[])). 1.35/0.65 thf(f673,plain,( 1.35/0.65 (notequalI2 = $true) & (symdiffIneg1 = $true) & (setukpairinjL2 = $true) & (subsetE = $true) & (powersetI = $true) & (emptyinPowerset = $true) & (setextsub = $true) & (omegaIndAx = $true) & (notsubsetI = $true) & (setunion__Cong = $true) & (setext = $true) & (binunionLsub = $true) & (exu__Cong = $true) & (dsetconstr__Cong = $true) & (emptyset__Cong = $true) & (binunionRsub = $true) & (omegaSAx = $true) & (singletoninpowunion = $true) & (binintersectRsub = $true) & (ex1I = $true) & (powersetAx = $true) & (upairequniteq = $true) & (prop2setI = $true) & (binintersectEL = $true) & (emptysetimpfalse = $true) & (setadjoinIL = $true) & (kpairiskpair = $true) & (ksndpairEq = $true) & (dsetconstrER = $true) & (upairset2E = $true) & (foundationAx = $true) & (kfstsingleton = $true) & (setoftrueEq = $true) & (singletonsubset = $true) & (bs114d = $true) & (inCongP = $true) & (setadjoinOr = $true) & (binunionE = $true) & (emptysetE = $true) & (upairsetIR = $true) & (omega0Ax = $true) & (nonemptyImpWitness = $true) & (setunionE = $true) & (eqinunit = $true) & (singletonprop = $true) & (uniqinunit = $true) & (symdiffI1 = $true) & (prop2setE = $true) & (subsetemptysetimpeq = $true) & (eqimpsubset2 = $true) & (exuE1 = $true) & (ubforcartprodlem2 = $true) & (descr__Cong = $true) & (setbeta = $true) & (setminusLsub = $true) & (exuE3u = $true) & (singletoninpowerset = $true) & (setunionAx = $true) & (cartprodfstin = $true) & (powersetE1 = $true) & (exuI3 = $true) & (subPowSU = $true) & (ex1E1 = $true) & (setunionE2 = $true) & (notinsingleton = $true) & (setadjoin__Cong = $true) & (cartprodmempair1 = $true) & (kfstpairEq = $true) & (upairset2IR = $true) & (prop2set2propI = $true) & (setadjoinAx = $true) & (upairsubunion = $true) & (emptyinunitempty = $true) & (notdallE = $true) & (nonemptyI = $true) & (setadjoinE = $true) & (exuEu = $true) & (emptysetAx = $true) & (setunionI = $true) & (sepInPowerset = $true) & (cartprodpairin = $true) & (subsetI2 = $true) & (descrp = $true) & (powersetsubset = $true) & (notinemptyset = $true) & (setunionsingleton2 = $true) & (binunionIR = $true) & (binintersectSubset4 = $true) & (nonemptyE1 = $true) & (disjointsetsI1 = $true) & (notdexE = $true) & (setminusERneg = $true) & (singletonsswitch = $true) & (binunionIL = $true) & (notequalI1 = $true) & (setminusSubset2 = $true) & (symdiffE = $true) & (vacuousDall = $true) & (setextAx = $true) & (dsetconstrEL = $true) & (binunionEcases = $true) & (powerset__Cong = $true) & (subsetTrans = $true) & (eqimpsubset1 = $true) & (kpairsurjEq = $true) & (binintersectLsub = $true) & (exuI2 = $true) & (setminusELneg = $true) & (setadjoinSub = $true) & (setminusEL = $true) & (inPowerset = $true) & (setadjoinSub2 = $true) & (replAx = $true) & (binintersectSubset1 = $true) & (setukpairIL = $true) & (upairsetE = $true) & (symdiffI2 = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan2 = $true) & (emptyInPowerset = $true) & (theprop = $true) & (setukpairinjR2 = $true) & (sepSubset = $true) & (cartprodsndin = $true) & (quantDeMorgan3 = $true) & (exuI1 = $true) & (quantDeMorgan1 = $true) & (secondinupair = $true) & (cartprodpairmemEL = $true) & (setminusIRneg = $true) & ? [X0,X1,X2,X3] : (((in @ X2 @ X1) != $true) & ((in @ (kpair @ X3 @ X2) @ (cartprod @ X0 @ X1)) = $true)) & (powersetI1 = $true) & (setunionsingleton = $true) & (setukpairinjL = $true) & (setminusER = $true) & (binintersectSubset5 = $true) & (omega__Cong = $true) & (binintersectSubset2 = $true) & (emptyI = $true) & (upairsetIL = $true) & (setukpairinjR1 = $true) & (setukpairinjR = $true) & (powersetE = $true) & (setukpairinjL1 = $true) & (subsetRefl = $true) & (ksndsingleton = $true) & (setukpairinjR11 = $true) & (singletonsuniq = $true) & (nonemptyI1 = $true) & (setminusI = $true) & (setminusSubset1 = $true) & (subsetE2 = $true) & (kpairp = $true) & (setukpairIR = $true) & (noeltsimpempty = $true) & (setunionsingleton1 = $true) & (upairinpowunion = $true) & (ubforcartprodlem1 = $true) & (setadjoinIR = $true) & (binintersectER = $true) & (exuE2 = $true) & (dsetconstrI = $true) & (ubforcartprodlem3 = $true) & (setukpairinjR12 = $true) & (exuE3e = $true) & (wellorderingAx = $true) & (binintersectI = $true) & (subsetI1 = $true) & (ex1I2 = $true) & (subset2powerset = $true) & (binintersectSubset3 = $true) & (symdiffIneg2 = $true) & (emptyE1 = $true) & (emptysetsubset = $true) & (in__Cong = $true) & (cartprodmempair = $true) & (setminusILneg = $true)), 1.35/0.65 inference(flattening,[],[f672])). 1.35/0.65 thf(f672,plain,( 1.35/0.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2,X3] : (((in @ X2 @ X1) != $true) & ((in @ (kpair @ X3 @ X2) @ (cartprod @ X0 @ X1)) = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (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)), 1.35/0.65 inference(ennf_transformation,[],[f394])). 1.35/0.65 thf(f394,plain,( 1.35/0.65 ~((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) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ! [X0,X1,X2,X3] : (((in @ (kpair @ X3 @ X2) @ (cartprod @ X0 @ X1)) = $true) => ((in @ X2 @ X1) = $true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.35/0.65 inference(fool_elimination,[],[f393])). 1.35/0.65 thf(f393,plain,( 1.35/0.65 ~(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 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => ! [X0,X1,X2,X3] : ((in @ (kpair @ X3 @ X2) @ (cartprod @ X0 @ X1)) => (in @ X2 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.35/0.65 inference(rectify,[],[f182])). 1.35/0.65 thf(f182,negated_conjecture,( 1.35/0.65 ~(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 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => ! [X3,X4,X2,X1] : ((in @ (kpair @ X1 @ X2) @ (cartprod @ X3 @ X4)) => (in @ X2 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.35/0.65 inference(negated_conjecture,[],[f181])). 1.35/0.65 thf(f181,conjecture,( 1.35/0.65 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 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => ! [X3,X4,X2,X1] : ((in @ (kpair @ X1 @ X2) @ (cartprod @ X3 @ X4)) => (in @ X2 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.35/0.65 file('/export/starexec/sandbox2/tmp/tmp.lzRhuqNZJN/E---3.1_21871.p',cartprodpairmemER)). 1.35/0.65 thf(f2802,plain,( 1.35/0.65 ((in @ sK147 @ sK146) = $true) | (ksndpairEq != $true)), 1.35/0.65 inference(superposition,[],[f2580,f2219])). 1.35/0.65 thf(f2219,plain,( 1.35/0.65 ( ! [X2 : $i,X3 : $i] : (((ksnd @ (kpair @ X2 @ X3)) = X3) | (ksndpairEq != $true)) )), 1.35/0.65 inference(cnf_transformation,[],[f1342])). 1.35/0.65 thf(f1342,plain,( 1.35/0.65 ((ksndpairEq = $true) | (sK355 != (ksnd @ (kpair @ sK354 @ sK355)))) & (! [X2,X3] : ((ksnd @ (kpair @ X2 @ X3)) = X3) | (ksndpairEq != $true))), 1.35/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK354,sK355])],[f1340,f1341])). 1.35/0.65 thf(f1341,plain,( 1.35/0.65 ? [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) != X1) => (sK355 != (ksnd @ (kpair @ sK354 @ sK355)))), 1.35/0.65 introduced(choice_axiom,[])). 1.35/0.65 thf(f1340,plain,( 1.35/0.65 ((ksndpairEq = $true) | ? [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) != X1)) & (! [X2,X3] : ((ksnd @ (kpair @ X2 @ X3)) = X3) | (ksndpairEq != $true))), 1.35/0.65 inference(rectify,[],[f1339])). 1.35/0.65 thf(f1339,plain,( 1.35/0.65 ((ksndpairEq = $true) | ? [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) != X1)) & (! [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) = X1) | (ksndpairEq != $true))), 1.35/0.65 inference(nnf_transformation,[],[f449])). 1.35/0.65 thf(f449,plain,( 1.35/0.65 (ksndpairEq = $true) <=> ! [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) = X1)), 1.35/0.65 inference(fool_elimination,[],[f448])). 1.35/0.65 thf(f448,plain,( 1.35/0.65 (ksndpairEq = ! [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) = X1))), 1.35/0.65 inference(rectify,[],[f177])). 1.35/0.65 thf(f177,axiom,( 1.35/0.65 (ksndpairEq = ! [X1,X2] : ((ksnd @ (kpair @ X1 @ X2)) = X2))), 1.35/0.65 file('/export/starexec/sandbox2/tmp/tmp.lzRhuqNZJN/E---3.1_21871.p',ksndpairEq)). 1.35/0.65 thf(f2580,plain,( 1.35/0.65 ((in @ (ksnd @ (kpair @ sK148 @ sK147)) @ sK146) = $true)), 1.35/0.65 inference(trivial_inequality_removal,[],[f2579])). 1.35/0.65 thf(f2579,plain,( 1.35/0.65 ($true != $true) | ((in @ (ksnd @ (kpair @ sK148 @ sK147)) @ sK146) = $true)), 1.35/0.65 inference(forward_demodulation,[],[f2569,f1828])). 1.35/0.65 thf(f1828,plain,( 1.35/0.65 (cartprodsndin = $true)), 1.35/0.65 inference(cnf_transformation,[],[f1000])). 1.35/0.65 thf(f2569,plain,( 1.35/0.65 ((in @ (ksnd @ (kpair @ sK148 @ sK147)) @ sK146) = $true) | (cartprodsndin != $true)), 1.35/0.65 inference(trivial_inequality_removal,[],[f2566])). 1.35/0.65 thf(f2566,plain,( 1.35/0.65 ($true != $true) | (cartprodsndin != $true) | ((in @ (ksnd @ (kpair @ sK148 @ sK147)) @ sK146) = $true)), 1.35/0.65 inference(superposition,[],[f2086,f1820])). 1.35/0.65 thf(f1820,plain,( 1.35/0.65 ($true = (in @ (kpair @ sK148 @ sK147) @ (cartprod @ sK145 @ sK146)))), 1.35/0.65 inference(cnf_transformation,[],[f1000])). 1.35/0.65 thf(f2086,plain,( 1.35/0.65 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ (cartprod @ X3 @ X5)) != $true) | ((in @ (ksnd @ X4) @ X5) = $true) | (cartprodsndin != $true)) )), 1.35/0.65 inference(cnf_transformation,[],[f1174])). 1.35/0.65 thf(f1174,plain,( 1.35/0.65 ((cartprodsndin = $true) | (((in @ (ksnd @ sK253) @ sK254) != $true) & ((in @ sK253 @ (cartprod @ sK252 @ sK254)) = $true))) & (! [X3,X4,X5] : (((in @ (ksnd @ X4) @ X5) = $true) | ((in @ X4 @ (cartprod @ X3 @ X5)) != $true)) | (cartprodsndin != $true))), 1.35/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK252,sK253,sK254])],[f1172,f1173])). 1.35/0.65 thf(f1173,plain,( 1.35/0.65 ? [X0,X1,X2] : (((in @ (ksnd @ X1) @ X2) != $true) & ($true = (in @ X1 @ (cartprod @ X0 @ X2)))) => (((in @ (ksnd @ sK253) @ sK254) != $true) & ((in @ sK253 @ (cartprod @ sK252 @ sK254)) = $true))), 1.35/0.65 introduced(choice_axiom,[])). 1.35/0.65 thf(f1172,plain,( 1.35/0.65 ((cartprodsndin = $true) | ? [X0,X1,X2] : (((in @ (ksnd @ X1) @ X2) != $true) & ($true = (in @ X1 @ (cartprod @ X0 @ X2))))) & (! [X3,X4,X5] : (((in @ (ksnd @ X4) @ X5) = $true) | ((in @ X4 @ (cartprod @ X3 @ X5)) != $true)) | (cartprodsndin != $true))), 1.35/0.65 inference(rectify,[],[f1171])). 1.35/0.65 thf(f1171,plain,( 1.35/0.65 ((cartprodsndin = $true) | ? [X0,X1,X2] : (((in @ (ksnd @ X1) @ X2) != $true) & ($true = (in @ X1 @ (cartprod @ X0 @ X2))))) & (! [X0,X1,X2] : (((in @ (ksnd @ X1) @ X2) = $true) | ($true != (in @ X1 @ (cartprod @ X0 @ X2)))) | (cartprodsndin != $true))), 1.35/0.65 inference(nnf_transformation,[],[f581])). 1.35/0.65 thf(f581,plain,( 1.35/0.65 (cartprodsndin = $true) <=> ! [X0,X1,X2] : (((in @ (ksnd @ X1) @ X2) = $true) | ($true != (in @ X1 @ (cartprod @ X0 @ X2))))), 1.35/0.65 inference(ennf_transformation,[],[f378])). 1.35/0.65 thf(f378,plain,( 1.35/0.65 ! [X0,X1,X2] : (($true = (in @ X1 @ (cartprod @ X0 @ X2))) => ((in @ (ksnd @ X1) @ X2) = $true)) <=> (cartprodsndin = $true)), 1.35/0.65 inference(fool_elimination,[],[f377])). 1.35/0.65 thf(f377,plain,( 1.35/0.65 (cartprodsndin = ! [X0,X1,X2] : ((in @ X1 @ (cartprod @ X0 @ X2)) => (in @ (ksnd @ X1) @ X2)))), 1.35/0.65 inference(rectify,[],[f179])). 1.35/0.65 thf(f179,axiom,( 1.35/0.65 (cartprodsndin = ! [X3,X10,X4] : ((in @ X10 @ (cartprod @ X3 @ X4)) => (in @ (ksnd @ X10) @ X4)))), 1.35/0.65 file('/export/starexec/sandbox2/tmp/tmp.lzRhuqNZJN/E---3.1_21871.p',cartprodsndin)). 1.35/0.65 thf(f3969,plain,( 1.35/0.65 ~spl494_9), 1.35/0.65 inference(avatar_split_clause,[],[f2784,f3161])). 1.35/0.65 thf(f2784,plain,( 1.35/0.65 ((in @ sK147 @ sK146) != $true)), 1.35/0.65 inference(trivial_inequality_removal,[],[f2783])). 1.35/0.65 thf(f2783,plain,( 1.35/0.65 ($true != $true) | ((in @ sK147 @ sK146) != $true)), 1.35/0.65 inference(forward_demodulation,[],[f2751,f1902])). 1.35/0.65 thf(f1902,plain,( 1.35/0.65 (eqimpsubset2 = $true)), 1.35/0.65 inference(cnf_transformation,[],[f1000])). 1.35/0.65 thf(f2751,plain,( 1.35/0.65 (eqimpsubset2 != $true) | ((in @ sK147 @ sK146) != $true)), 1.35/0.65 inference(trivial_inequality_removal,[],[f2731])). 1.35/0.65 thf(f2731,plain,( 1.35/0.65 (eqimpsubset2 != $true) | ($true != $true) | ((in @ sK147 @ sK146) != $true)), 1.35/0.65 inference(superposition,[],[f2562,f2442])). 1.35/0.65 thf(f2442,plain,( 1.35/0.65 ( ! [X3 : $i] : (((subset @ X3 @ X3) = $true) | (eqimpsubset2 != $true)) )), 1.35/0.65 inference(equality_resolution,[],[f1755])). 1.35/0.65 thf(f1755,plain,( 1.35/0.65 ( ! [X2 : $i,X3 : $i] : ((X2 != X3) | ($true = (subset @ X2 @ X3)) | (eqimpsubset2 != $true)) )), 1.35/0.65 inference(cnf_transformation,[],[f979])). 1.35/0.65 thf(f979,plain,( 1.35/0.65 ((eqimpsubset2 = $true) | ((sK132 = sK131) & ((subset @ sK131 @ sK132) != $true))) & (! [X2,X3] : ((X2 != X3) | ($true = (subset @ X2 @ X3))) | (eqimpsubset2 != $true))), 1.35/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK131,sK132])],[f977,f978])). 1.35/0.65 thf(f978,plain,( 1.35/0.65 ? [X0,X1] : ((X0 = X1) & ((subset @ X0 @ X1) != $true)) => ((sK132 = sK131) & ((subset @ sK131 @ sK132) != $true))), 1.35/0.65 introduced(choice_axiom,[])). 1.35/0.65 thf(f977,plain,( 1.35/0.65 ((eqimpsubset2 = $true) | ? [X0,X1] : ((X0 = X1) & ((subset @ X0 @ X1) != $true))) & (! [X2,X3] : ((X2 != X3) | ($true = (subset @ X2 @ X3))) | (eqimpsubset2 != $true))), 1.35/0.65 inference(rectify,[],[f976])). 1.35/0.65 thf(f976,plain,( 1.35/0.65 ((eqimpsubset2 = $true) | ? [X0,X1] : ((X0 = X1) & ((subset @ X0 @ X1) != $true))) & (! [X0,X1] : ((X0 != X1) | ((subset @ X0 @ X1) = $true)) | (eqimpsubset2 != $true))), 1.35/0.65 inference(nnf_transformation,[],[f600])). 1.35/0.65 thf(f600,plain,( 1.35/0.65 (eqimpsubset2 = $true) <=> ! [X0,X1] : ((X0 != X1) | ((subset @ X0 @ X1) = $true))), 1.35/0.65 inference(ennf_transformation,[],[f434])). 1.35/0.65 thf(f434,plain,( 1.35/0.65 ! [X0,X1] : ((X0 = X1) => ((subset @ X0 @ X1) = $true)) <=> (eqimpsubset2 = $true)), 1.35/0.65 inference(fool_elimination,[],[f433])). 1.35/0.65 thf(f433,plain,( 1.35/0.65 (eqimpsubset2 = ! [X0,X1] : ((X0 = X1) => (subset @ X0 @ X1)))), 1.35/0.65 inference(rectify,[],[f79])). 1.35/0.65 thf(f79,axiom,( 1.35/0.65 (eqimpsubset2 = ! [X4,X3] : ((X3 = X4) => (subset @ X4 @ X3)))), 1.35/0.65 file('/export/starexec/sandbox2/tmp/tmp.lzRhuqNZJN/E---3.1_21871.p',eqimpsubset2)). 1.35/0.65 thf(f2562,plain,( 1.35/0.65 ( ! [X0 : $i] : (($true != (subset @ X0 @ sK146)) | ((in @ sK147 @ X0) != $true)) )), 1.35/0.65 inference(trivial_inequality_removal,[],[f2561])). 1.35/0.65 thf(f2561,plain,( 1.35/0.65 ( ! [X0 : $i] : (($true != (subset @ X0 @ sK146)) | ($true != $true) | ((in @ sK147 @ X0) != $true)) )), 1.35/0.65 inference(forward_demodulation,[],[f2553,f1948])). 1.35/0.65 thf(f1948,plain,( 1.35/0.65 (subsetE = $true)), 1.35/0.65 inference(cnf_transformation,[],[f1000])). 1.35/0.65 thf(f2553,plain,( 1.35/0.65 ( ! [X0 : $i] : ((subsetE != $true) | ($true != (subset @ X0 @ sK146)) | ((in @ sK147 @ X0) != $true)) )), 1.35/0.65 inference(trivial_inequality_removal,[],[f2549])). 1.35/0.65 thf(f2549,plain,( 1.35/0.65 ( ! [X0 : $i] : (($true != (subset @ X0 @ sK146)) | (subsetE != $true) | ($true != $true) | ((in @ sK147 @ X0) != $true)) )), 1.35/0.65 inference(superposition,[],[f1821,f2112])). 1.35/0.65 thf(f2112,plain,( 1.35/0.65 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | (subsetE != $true)) )), 1.35/0.65 inference(cnf_transformation,[],[f1199])). 1.35/0.65 thf(f1199,plain,( 1.35/0.65 (! [X0,X1,X2] : (((in @ X2 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | ((in @ X2 @ X1) = $true)) | (subsetE != $true)) & ((subsetE = $true) | (((in @ sK270 @ sK268) = $true) & ((subset @ sK268 @ sK269) = $true) & ($true != (in @ sK270 @ sK269))))), 1.35/0.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK268,sK269,sK270])],[f1197,f1198])). 1.35/0.65 thf(f1198,plain,( 1.35/0.65 ? [X3,X4,X5] : (((in @ X5 @ X3) = $true) & ((subset @ X3 @ X4) = $true) & ((in @ X5 @ X4) != $true)) => (((in @ sK270 @ sK268) = $true) & ((subset @ sK268 @ sK269) = $true) & ($true != (in @ sK270 @ sK269)))), 1.35/0.65 introduced(choice_axiom,[])). 1.35/0.65 thf(f1197,plain,( 1.35/0.65 (! [X0,X1,X2] : (((in @ X2 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | ((in @ X2 @ X1) = $true)) | (subsetE != $true)) & ((subsetE = $true) | ? [X3,X4,X5] : (((in @ X5 @ X3) = $true) & ((subset @ X3 @ X4) = $true) & ((in @ X5 @ X4) != $true)))), 1.35/0.65 inference(rectify,[],[f1196])). 1.35/0.65 thf(f1196,plain,( 1.35/0.65 (! [X0,X1,X2] : (((in @ X2 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | ((in @ X2 @ X1) = $true)) | (subsetE != $true)) & ((subsetE = $true) | ? [X0,X1,X2] : (((in @ X2 @ X0) = $true) & ((subset @ X0 @ X1) = $true) & ((in @ X2 @ X1) != $true)))), 1.35/0.65 inference(nnf_transformation,[],[f625])). 1.35/0.65 thf(f625,plain,( 1.35/0.65 ! [X0,X1,X2] : (((in @ X2 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | ((in @ X2 @ X1) = $true)) <=> (subsetE = $true)), 1.35/0.65 inference(flattening,[],[f624])). 1.35/0.65 thf(f624,plain,( 1.35/0.65 ! [X0,X1,X2] : ((((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) != $true)) | ((subset @ X0 @ X1) != $true)) <=> (subsetE = $true)), 1.35/0.65 inference(ennf_transformation,[],[f203])). 1.35/0.65 thf(f203,plain,( 1.35/0.65 ! [X0,X1,X2] : (((subset @ X0 @ X1) = $true) => (((in @ X2 @ X0) = $true) => ((in @ X2 @ X1) = $true))) <=> (subsetE = $true)), 1.35/0.65 inference(fool_elimination,[],[f202])). 1.35/0.65 thf(f202,plain,( 1.35/0.65 (! [X0,X1,X2] : ((subset @ X0 @ X1) => ((in @ X2 @ X0) => (in @ X2 @ X1))) = subsetE)), 1.35/0.65 inference(rectify,[],[f83])). 1.35/0.65 thf(f83,axiom,( 1.35/0.65 (! [X3,X4,X1] : ((subset @ X3 @ X4) => ((in @ X1 @ X3) => (in @ X1 @ X4))) = subsetE)), 1.35/0.65 file('/export/starexec/sandbox2/tmp/tmp.lzRhuqNZJN/E---3.1_21871.p',subsetE)). 1.35/0.65 thf(f1821,plain,( 1.35/0.65 ((in @ sK147 @ sK146) != $true)), 1.35/0.65 inference(cnf_transformation,[],[f1000])). 1.35/0.65 % SZS output end Proof for E---3.1_21871 1.35/0.65 % (22001)------------------------------ 1.35/0.65 % (22001)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.35/0.65 % (22001)Termination reason: Refutation 1.35/0.65 1.35/0.65 % (22001)Memory used [KB]: 8699 1.35/0.65 % (22001)Time elapsed: 0.105 s 1.35/0.65 % (22001)Instructions burned: 287 (million) 1.35/0.65 % (22001)------------------------------ 1.35/0.65 % (22001)------------------------------ 1.35/0.65 % (21978)Success in time 0.225 s 1.35/0.65 EOF