0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : run_vampire %s %d THM 0.11/0.37 % Computer : n007.cluster.edu 0.11/0.37 % Model : x86_64 x86_64 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.37 % Memory : 8046.5625MB 0.11/0.37 % OS : Linux 6.8.0-71-generic 0.11/0.37 % CPULimit : 1440 0.11/0.37 % WCLimit : 180 0.11/0.37 % DateTime : Mon Jul 27 09:16:03 UTC 2026 0.11/0.37 % CPUTime : 0.11/0.40 This is a THF_ problem 0.11/0.40 Running higher-order theorem proving 0.11/0.43 Running /export/starexec/sandbox2/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.leY3JsRLnF/E---3.1_887218.p -m 16384 -t 180 0.11/0.46 % (887341)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_887218 for (1799ds/2Mi) 0.11/0.47 % (887341)Instruction limit reached! 0.11/0.47 % (887341)------------------------------ 0.11/0.47 % (887341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.11/0.47 % (887341)Termination reason: Unknown 0.11/0.47 % (887341)Termination phase: shuffling 0.11/0.47 0.11/0.47 % (887341)Memory used [KB]: 1151 0.11/0.47 % (887341)Time elapsed: 0.003 s 0.11/0.47 % (887341)Instructions burned: 4 (million) 0.11/0.47 % (887341)------------------------------ 0.11/0.47 % (887341)------------------------------ 0.11/0.47 % (887338)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_887218 for (1799ds/183Mi) 0.11/0.47 % (887339)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_887218 for (1799ds/4Mi) 0.11/0.47 % (887342)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_887218 for (1799ds/2Mi) 0.11/0.47 % (887343)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_887218 for (1799ds/275Mi) 0.11/0.47 % (887344)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_887218 for (1799ds/18Mi) 0.11/0.47 % (887342)Instruction limit reached! 0.11/0.47 % (887342)------------------------------ 0.11/0.47 % (887342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.11/0.47 % (887342)Termination reason: Unknown 0.11/0.47 % (887342)Termination phase: shuffling 0.11/0.47 0.11/0.47 % (887342)Memory used [KB]: 1151 0.11/0.47 % (887342)Time elapsed: 0.003 s 0.11/0.47 % (887342)Instructions burned: 2 (million) 0.11/0.47 % (887342)------------------------------ 0.11/0.47 % (887342)------------------------------ 0.11/0.47 % (887339)Instruction limit reached! 0.11/0.47 % (887339)------------------------------ 0.11/0.47 % (887339)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.11/0.47 % (887339)Termination reason: Unknown 0.11/0.47 % (887339)Termination phase: shuffling 0.11/0.47 0.11/0.47 % (887339)Memory used [KB]: 1151 0.11/0.47 % (887339)Time elapsed: 0.004 s 0.11/0.47 % (887339)Instructions burned: 4 (million) 0.11/0.47 % (887339)------------------------------ 0.11/0.47 % (887339)------------------------------ 0.11/0.48 % (887345)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_887218 for (1799ds/3Mi) 0.11/0.48 % (887345)Instruction limit reached! 0.11/0.48 % (887345)------------------------------ 0.11/0.48 % (887345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.11/0.48 % (887345)Termination reason: Unknown 0.11/0.48 % (887345)Termination phase: shuffling 0.11/0.48 0.11/0.48 % (887345)Memory used [KB]: 1151 0.11/0.48 % (887345)Time elapsed: 0.002 s 0.11/0.48 % (887345)Instructions burned: 3 (million) 0.11/0.48 % (887345)------------------------------ 0.11/0.48 % (887345)------------------------------ 0.24/0.48 % (887340)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_887218 for (1799ds/27Mi) 0.24/0.49 % (887346)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_887218 for (1799ds/37Mi) 0.24/0.49 % (887347)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_887218 for (1799ds/15Mi) 0.24/0.49 % (887344)Instruction limit reached! 0.24/0.49 % (887344)------------------------------ 0.24/0.49 % (887344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.49 % (887344)Termination reason: Unknown 0.24/0.49 % (887344)Termination phase: Preprocessing 3 0.24/0.49 0.24/0.49 % (887344)Memory used [KB]: 1535 0.24/0.49 % (887344)Time elapsed: 0.018 s 0.24/0.49 % (887344)Instructions burned: 19 (million) 0.24/0.49 % (887344)------------------------------ 0.24/0.49 % (887344)------------------------------ 0.24/0.50 % (887340)Instruction limit reached! 0.24/0.50 % (887340)------------------------------ 0.24/0.50 % (887340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.50 % (887340)Termination reason: Unknown 0.24/0.50 % (887340)Termination phase: Property scanning 0.24/0.50 0.24/0.50 % (887340)Memory used [KB]: 1407 0.24/0.50 % (887340)Time elapsed: 0.018 s 0.24/0.50 % (887340)Instructions burned: 28 (million) 0.24/0.50 % (887340)------------------------------ 0.24/0.50 % (887340)------------------------------ 0.24/0.50 % (887349)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_887218 for (1799ds/3Mi) 0.24/0.50 % (887347)Instruction limit reached! 0.24/0.50 % (887347)------------------------------ 0.24/0.50 % (887347)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.50 % (887347)Termination reason: Unknown 0.24/0.50 % (887347)Termination phase: Naming 0.24/0.50 0.24/0.50 % (887347)Memory used [KB]: 1407 0.24/0.50 % (887347)Time elapsed: 0.011 s 0.24/0.50 % (887347)Instructions burned: 15 (million) 0.24/0.50 % (887347)------------------------------ 0.24/0.50 % (887347)------------------------------ 0.24/0.50 % (887349)Instruction limit reached! 0.24/0.50 % (887349)------------------------------ 0.24/0.50 % (887349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.50 % (887349)Termination reason: Unknown 0.24/0.50 % (887349)Termination phase: shuffling 0.24/0.50 0.24/0.50 % (887349)Memory used [KB]: 1151 0.24/0.50 % (887349)Time elapsed: 0.004 s 0.24/0.50 % (887349)Instructions burned: 3 (million) 0.24/0.50 % (887349)------------------------------ 0.24/0.50 % (887349)------------------------------ 0.24/0.51 % (887355)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_887218 for (1799ds/1041Mi) 0.24/0.51 % (887346)Instruction limit reached! 0.24/0.51 % (887346)------------------------------ 0.24/0.51 % (887346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.51 % (887346)Termination reason: Unknown 0.24/0.51 % (887346)Termination phase: Property scanning 0.24/0.51 0.24/0.51 % (887346)Memory used [KB]: 1535 0.24/0.51 % (887346)Time elapsed: 0.022 s 0.24/0.51 % (887346)Instructions burned: 37 (million) 0.24/0.51 % (887346)------------------------------ 0.24/0.51 % (887346)------------------------------ 0.24/0.52 % (887356)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_887218 for (1799ds/7Mi) 0.24/0.52 % (887356)Instruction limit reached! 0.24/0.52 % (887356)------------------------------ 0.24/0.52 % (887356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.52 % (887356)Termination reason: Unknown 0.24/0.52 % (887356)Termination phase: shuffling 0.24/0.52 0.24/0.52 % (887356)Memory used [KB]: 1279 0.24/0.52 % (887356)Time elapsed: 0.009 s 0.24/0.52 % (887356)Instructions burned: 7 (million) 0.24/0.52 % (887356)------------------------------ 0.24/0.52 % (887356)------------------------------ 0.24/0.52 % (887357)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_887218 for (1799ds/16Mi) 0.24/0.53 % (887358)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_887218 for (1799ds/3Mi) 0.24/0.53 % (887358)Instruction limit reached! 0.24/0.53 % (887358)------------------------------ 0.24/0.53 % (887358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.53 % (887358)Termination reason: Unknown 0.24/0.53 % (887358)Termination phase: shuffling 0.24/0.53 0.24/0.53 % (887358)Memory used [KB]: 1151 0.24/0.53 % (887358)Time elapsed: 0.005 s 0.24/0.53 % (887358)Instructions burned: 3 (million) 0.24/0.53 % (887358)------------------------------ 0.24/0.53 % (887358)------------------------------ 0.24/0.53 % (887372)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_887218 for (1799ds/7Mi) 0.24/0.54 % (887372)Instruction limit reached! 0.24/0.54 % (887372)------------------------------ 0.24/0.54 % (887372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.54 % (887372)Termination reason: Unknown 0.24/0.54 % (887372)Termination phase: shuffling 0.24/0.54 0.24/0.54 % (887372)Memory used [KB]: 1279 0.24/0.54 % (887372)Time elapsed: 0.004 s 0.24/0.54 % (887372)Instructions burned: 8 (million) 0.24/0.54 % (887372)------------------------------ 0.24/0.54 % (887372)------------------------------ 0.24/0.54 % (887357)Instruction limit reached! 0.24/0.54 % (887357)------------------------------ 0.24/0.54 % (887357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.54 % (887357)Termination reason: Unknown 0.24/0.54 % (887357)Termination phase: Property scanning 0.24/0.54 0.24/0.54 % (887357)Memory used [KB]: 1407 0.24/0.54 % (887357)Time elapsed: 0.018 s 0.24/0.54 % (887357)Instructions burned: 17 (million) 0.24/0.54 % (887357)------------------------------ 0.24/0.54 % (887357)------------------------------ 0.24/0.54 % (887364)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_887218 for (1799ds/3Mi) 0.24/0.54 % (887364)Instruction limit reached! 0.24/0.54 % (887364)------------------------------ 0.24/0.54 % (887364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.54 % (887364)Termination reason: Unknown 0.24/0.54 % (887364)Termination phase: shuffling 0.24/0.54 0.24/0.54 % (887364)Memory used [KB]: 1151 0.24/0.54 % (887364)Time elapsed: 0.005 s 0.24/0.54 % (887364)Instructions burned: 3 (million) 0.24/0.54 % (887364)------------------------------ 0.24/0.54 % (887364)------------------------------ 0.24/0.55 % (887374)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_887218 for (1799ds/4Mi) 0.24/0.55 % (887374)Instruction limit reached! 0.24/0.55 % (887374)------------------------------ 0.24/0.55 % (887374)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.55 % (887374)Termination reason: Unknown 0.24/0.55 % (887374)Termination phase: shuffling 0.24/0.55 0.24/0.55 % (887374)Memory used [KB]: 1151 0.24/0.55 % (887374)Time elapsed: 0.003 s 0.24/0.55 % (887374)Instructions burned: 5 (million) 0.24/0.55 % (887374)------------------------------ 0.24/0.55 % (887374)------------------------------ 0.24/0.56 % (887383)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_887218 for (1799ds/6Mi) 0.24/0.56 % (887373)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_887218 for (1799ds/3Mi) 0.24/0.56 % (887383)Instruction limit reached! 0.24/0.56 % (887383)------------------------------ 0.24/0.56 % (887383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.56 % (887383)Termination reason: Unknown 0.24/0.56 % (887383)Termination phase: shuffling 0.24/0.56 0.24/0.56 % (887383)Memory used [KB]: 1279 0.24/0.56 % (887383)Time elapsed: 0.004 s 0.24/0.56 % (887383)Instructions burned: 8 (million) 0.24/0.56 % (887383)------------------------------ 0.24/0.56 % (887383)------------------------------ 0.24/0.56 % (887373)Instruction limit reached! 0.24/0.56 % (887373)------------------------------ 0.24/0.56 % (887373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.56 % (887373)Termination reason: Unknown 0.24/0.56 % (887373)Termination phase: shuffling 0.24/0.56 0.24/0.56 % (887373)Memory used [KB]: 1151 0.24/0.56 % (887373)Time elapsed: 0.005 s 0.24/0.56 % (887373)Instructions burned: 3 (million) 0.24/0.56 % (887373)------------------------------ 0.24/0.56 % (887373)------------------------------ 0.24/0.57 % (887376)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_887218 for (1799ds/18Mi) 0.24/0.57 % (887385)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_887218 for (1798ds/902Mi) 0.24/0.58 % (887378)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_887218 for (1799ds/710Mi) 0.24/0.59 % (887376)Instruction limit reached! 0.24/0.59 % (887376)------------------------------ 0.24/0.59 % (887376)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.59 % (887376)Termination reason: Unknown 0.24/0.59 % (887376)Termination phase: Property scanning 0.24/0.59 0.24/0.59 % (887376)Memory used [KB]: 1407 0.24/0.59 % (887376)Time elapsed: 0.019 s 0.24/0.59 % (887376)Instructions burned: 18 (million) 0.24/0.59 % (887376)------------------------------ 0.24/0.59 % (887376)------------------------------ 0.24/0.60 % (887387)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_887218 for (1798ds/21Mi) 1.03/0.61 % (887338)Instruction limit reached! 1.03/0.61 % (887338)------------------------------ 1.03/0.61 % (887338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.03/0.61 % (887338)Termination reason: Unknown 1.03/0.61 % (887338)Termination phase: Saturation 1.03/0.61 1.03/0.61 % (887338)Memory used [KB]: 6908 1.03/0.61 % (887338)Time elapsed: 0.145 s 1.03/0.61 % (887338)Instructions burned: 183 (million) 1.03/0.61 % (887338)------------------------------ 1.03/0.61 % (887338)------------------------------ 1.03/0.61 % (887387)Instruction limit reached! 1.03/0.61 % (887387)------------------------------ 1.03/0.61 % (887387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.03/0.61 % (887387)Termination reason: Unknown 1.03/0.61 % (887387)Termination phase: Property scanning 1.03/0.61 1.03/0.61 % (887387)Memory used [KB]: 1407 1.03/0.61 % (887387)Time elapsed: 0.022 s 1.03/0.61 % (887387)Instructions burned: 21 (million) 1.03/0.61 % (887387)------------------------------ 1.03/0.61 % (887387)------------------------------ 1.03/0.62 % (887385)First to succeed. 1.03/0.62 % (887393)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_887218 for (1798ds/5Mi) 1.03/0.62 % (887385)Refutation found. Thanks to Tanya! 1.03/0.62 % SZS status Theorem for E---3.1_887218 1.03/0.62 % SZS output start Proof for E---3.1_887218 1.03/0.62 thf(func_def_0, type, in: $i > $i > $o). 1.03/0.62 thf(func_def_1, type, exu: ($i > $o) > $o). 1.03/0.62 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.03/0.62 thf(func_def_8, type, powerset: $i > $i). 1.03/0.62 thf(func_def_10, type, setunion: $i > $i). 1.03/0.62 thf(func_def_19, type, descr: ($i > $o) > $i). 1.03/0.62 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.03/0.62 thf(func_def_26, type, prop2set: $o > $i). 1.03/0.62 thf(func_def_36, type, nonempty: $i > $o). 1.03/0.62 thf(func_def_69, type, set2prop: $i > $o). 1.03/0.62 thf(func_def_88, type, subset: $i > $i > $o). 1.03/0.62 thf(func_def_89, type, disjoint: $i > $i > $o). 1.03/0.62 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.03/0.62 thf(func_def_121, type, sP1: $i > $i > $o). 1.03/0.62 thf(func_def_122, type, sP2: $i > $o). 1.03/0.62 thf(func_def_123, type, sP3: $i > $i > $o). 1.03/0.62 thf(func_def_124, type, sP4: $i > $i > $o). 1.03/0.62 thf(func_def_127, type, sK7: $i > $o). 1.03/0.62 thf(func_def_134, type, sK14: $i > $o). 1.03/0.62 thf(func_def_139, type, sK19: $o > $i > $i > $i). 1.03/0.62 thf(func_def_150, type, sK30: $i > $o). 1.03/0.62 thf(func_def_152, type, sK32: ($i > $o) > $i > $i). 1.03/0.62 thf(func_def_153, type, sK33: $i > $o). 1.03/0.62 thf(func_def_154, type, sK34: ($i > $o) > $i). 1.03/0.62 thf(func_def_158, type, sK38: ($i > $o) > ($i > $o) > $i). 1.03/0.62 thf(func_def_159, type, sK39: ($i > $o) > ($i > $o) > $i). 1.03/0.62 thf(func_def_160, type, sK40: $i > $o). 1.03/0.62 thf(func_def_161, type, sK41: $i > $o). 1.03/0.62 thf(func_def_166, type, sK46: $i > $o). 1.03/0.62 thf(func_def_171, type, sK51: $i > $o). 1.03/0.62 thf(func_def_175, type, sK55: $i > $i > $i). 1.03/0.62 thf(func_def_183, type, sK63: $i > $o). 1.03/0.62 thf(func_def_186, type, sK66: $i > $i > $i). 1.03/0.62 thf(func_def_192, type, sK72: $i > $i). 1.03/0.62 thf(func_def_193, type, sK73: $i > $i). 1.03/0.62 thf(func_def_199, type, sK79: ($i > $o) > $i). 1.03/0.62 thf(func_def_200, type, sK80: $i > $o). 1.03/0.62 thf(func_def_201, type, sK81: $i > $i). 1.03/0.62 thf(func_def_204, type, sK84: $i > $o). 1.03/0.62 thf(func_def_206, type, sK86: $i > ($i > $o) > $i). 1.03/0.62 thf(func_def_207, type, sK87: $i > $o). 1.03/0.62 thf(func_def_210, type, sK90: $i > ($i > $o) > $i). 1.03/0.62 thf(func_def_213, type, sK93: $i > $o). 1.03/0.62 thf(func_def_214, type, sK94: $i > $i). 1.03/0.62 thf(func_def_218, type, sK98: $i > $o). 1.03/0.62 thf(func_def_220, type, sK100: ($i > $o) > $i). 1.03/0.62 thf(func_def_221, type, sK101: ($i > $o) > $i). 1.03/0.62 thf(func_def_240, type, sK120: $i > $o). 1.03/0.62 thf(func_def_242, type, sK122: $i > $i > $i). 1.03/0.62 thf(func_def_243, type, sK123: $i > $i > $i). 1.03/0.62 thf(func_def_246, type, sK126: ($i > $o) > $i > $i). 1.03/0.62 thf(func_def_248, type, sK128: $i > $o). 1.03/0.62 thf(func_def_253, type, sK133: ($i > $o) > $i). 1.03/0.62 thf(func_def_254, type, sK134: $i > $o). 1.03/0.62 thf(func_def_255, type, sK135: $i > $i). 1.03/0.62 thf(func_def_264, type, sK144: $i > $i > $i). 1.03/0.62 thf(func_def_268, type, sK148: $i > $i). 1.03/0.62 thf(func_def_271, type, sK151: $i > $i > $o). 1.03/0.62 thf(func_def_273, type, sK153: $i > $i). 1.03/0.62 thf(func_def_274, type, sK154: $i > $i). 1.03/0.62 thf(func_def_275, type, sK155: $i > ($i > $i > $o) > $i). 1.03/0.62 thf(func_def_276, type, sK156: $i > ($i > $i > $o) > $i). 1.03/0.62 thf(func_def_277, type, sK157: $i > $i > ($i > $i > $o) > $i). 1.03/0.62 thf(func_def_283, type, sK163: $i > $o). 1.03/0.62 thf(func_def_286, type, sK166: ($i > $o) > ($i > $o) > $i). 1.03/0.62 thf(func_def_287, type, sK167: ($i > $o) > ($i > $o) > $i). 1.03/0.62 thf(func_def_288, type, sK168: $i > $o). 1.03/0.62 thf(func_def_289, type, sK169: $i > $o). 1.03/0.62 thf(func_def_291, type, sK171: $i > $i). 1.03/0.62 thf(func_def_292, type, sK172: ($i > $o) > $i > $i). 1.03/0.62 thf(func_def_294, type, sK174: $i > $o). 1.03/0.62 thf(func_def_299, type, sK179: $i > $i > $i). 1.03/0.62 thf(func_def_300, type, sK180: $i > $i > $i). 1.03/0.62 thf(func_def_301, type, sK181: $i > $i > $i). 1.03/0.62 thf(func_def_302, type, sK182: $i > $i > $i). 1.03/0.62 thf(func_def_303, type, sK183: $i > $i > $i > $i). 1.03/0.62 thf(func_def_304, type, sK184: $i > $i). 1.03/0.62 thf(func_def_305, type, sK185: $i > $i). 1.03/0.62 thf(func_def_306, type, sK186: $i > $i). 1.03/0.62 thf(func_def_307, type, sK187: $i > $i). 1.03/0.62 thf(func_def_308, type, sK188: $i > $i > $i > $i). 1.03/0.62 thf(func_def_309, type, sK189: $i > $i > $i > $i). 1.03/0.62 thf(func_def_310, type, sK190: $i > $i > $i). 1.03/0.62 thf(func_def_311, type, sK191: $i > $i > $i). 1.03/0.62 thf(func_def_312, type, sK192: $i > $i > $i). 1.03/0.62 thf(func_def_313, type, sK193: $i > $i). 1.03/0.62 thf(func_def_314, type, sK194: $i > $i > $i). 1.03/0.62 thf(func_def_316, type, sK196: $i > $i). 1.03/0.62 thf(func_def_317, type, sK197: $i > $i). 1.03/0.62 thf(func_def_324, type, sK204: $i > $i > $i). 1.03/0.62 thf(func_def_327, type, sK207: $i > $o). 1.03/0.62 thf(func_def_329, type, sK209: $i > $i). 1.03/0.62 thf(func_def_335, type, sK215: $i > $i > $i). 1.03/0.62 thf(func_def_350, type, sK230: $i > $o). 1.03/0.62 thf(func_def_351, type, sK231: $i > $o). 1.03/0.62 thf(func_def_352, type, sK232: ($i > $o) > ($i > $o) > $i > $i > $i). 1.03/0.62 thf(func_def_353, type, sK233: ($i > $o) > ($i > $o) > $i > $i > $i). 1.03/0.62 thf(func_def_358, type, sK238: $i > $i > $i). 1.03/0.62 thf(func_def_359, type, sK239: ($i > $o) > $i > $i). 1.03/0.62 thf(func_def_361, type, sK241: $i > $o). 1.03/0.62 thf(func_def_364, type, sK244: $i > $o). 1.03/0.62 thf(func_def_366, type, sK246: ($i > $o) > $i > $i). 1.03/0.62 thf(func_def_372, type, sK252: $i > $o). 1.03/0.62 thf(func_def_376, type, sK256: $i > ($i > $o) > $i). 1.03/0.62 thf(func_def_377, type, sK257: $i > $o). 1.03/0.62 thf(func_def_379, type, sK259: $i > $i). 1.03/0.62 thf(func_def_382, type, ph262: !>[X0: $tType]:(X0)). 1.03/0.62 thf(f1465,plain,( 1.03/0.62 $false), 1.03/0.62 inference(trivial_inequality_removal,[status(thm)],[f1463])). 1.03/0.62 thf(f1463,plain,( 1.03/0.62 ($true != $true)), 1.03/0.62 inference(superposition,[status(thm)],[f1452,f971])). 1.03/0.62 thf(f971,plain,( 1.03/0.62 ((subset @ sK21 @ sK20) = $true)), 1.03/0.62 inference(cnf_transformation,[status(thm)],[f441])). 1.03/0.62 thf(f441,plain,( 1.03/0.62 (upairsetE = $true) & (upairsetIR = $true) & (subPowSU = $true) & (eqinunit = $true) & (setextsub = $true) & (((in @ sK21 @ (powerset @ sK20)) != $true) & ((subset @ sK21 @ sK20) = $true)) & (powersetAx = $true) & (quantDeMorgan3 = $true) & (exuI2 = $true) & (emptyinunitempty = $true) & (subsetE = $true) & (powersetE = $true) & (replAx = $true) & (emptyI = $true) & (emptysetAx = $true) & (dsetconstrER = $true) & (setunionAx = $true) & (notinsingleton = $true) & (descrp = $true) & (quantDeMorgan1 = $true) & (notinemptyset = $true) & (setadjoinIR = $true) & (setadjoinSub = $true) & (subsetRefl = $true) & (subsetE2 = $true) & (eqimpsubset2 = $true) & (notsubsetI = $true) & (exuE1 = $true) & (eqimpsubset1 = $true) & (setextAx = $true) & (setadjoinE = $true) & (prop2setI = $true) & (setext = $true) & (exuE3u = $true) & (foundationAx = $true) & (dsetconstr__Cong = $true) & (subsetI2 = $true) & (setadjoin__Cong = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (uniqinunit = $true) & (setadjoinOr = $true) & (nonemptyI = $true) & (emptysetE = $true) & (exuE2 = $true) & (setadjoinAx = $true) & (notdallE = $true) & (exuI1 = $true) & (omegaIndAx = $true) & (subsetTrans = $true) & (emptysetimpfalse = $true) & (subset2powerset = $true) & (setunionI = $true) & (setadjoinIL = $true) & (exu__Cong = $true) & (notdexE = $true) & (powersetI = $true) & (prop2set2propI = $true) & (setbeta = $true) & (singletonsswitch = $true) & (exuE3e = $true) & (wellorderingAx = $true) & (exuEu = $true) & (in__Cong = $true) & (nonemptyImpWitness = $true) & (vacuousDall = $true) & (quantDeMorgan2 = $true) & (notequalI1 = $true) & (powerset__Cong = $true) & (subsetI1 = $true) & (setunionE = $true) & (inCongP = $true) & (emptyinPowerset = $true) & (upairsetIL = $true) & (exuI3 = $true) & (descr__Cong = $true) & (quantDeMorgan4 = $true) & (emptyset__Cong = $true) & (setunion__Cong = $true) & (subsetemptysetimpeq = $true) & (dsetconstrI = $true) & (dsetconstrEL = $true) & (emptyE1 = $true) & (nonemptyE1 = $true) & (notequalI2 = $true) & (setadjoinSub2 = $true) & (noeltsimpempty = $true) & (omega__Cong = $true) & (nonemptyI1 = $true) & (prop2setE = $true) & (emptyInPowerset = $true) & (emptysetsubset = $true) & (setoftrueEq = $true)), 1.03/0.62 inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f318,f440])). 1.03/0.62 thf(f440,plain,( 1.03/0.62 ? [X0 : $i,X1 : $i] : (($true != (in @ X1 @ (powerset @ X0))) & ($true = (subset @ X1 @ X0))) => (((in @ sK21 @ (powerset @ sK20)) != $true) & ((subset @ sK21 @ sK20) = $true))), 1.03/0.62 introduced(definition,[],[choice_axiom])). 1.03/0.62 thf(f318,plain,( 1.03/0.62 (upairsetE = $true) & (upairsetIR = $true) & (subPowSU = $true) & (eqinunit = $true) & (setextsub = $true) & ? [X0 : $i,X1 : $i] : (($true != (in @ X1 @ (powerset @ X0))) & ($true = (subset @ X1 @ X0))) & (powersetAx = $true) & (quantDeMorgan3 = $true) & (exuI2 = $true) & (emptyinunitempty = $true) & (subsetE = $true) & (powersetE = $true) & (replAx = $true) & (emptyI = $true) & (emptysetAx = $true) & (dsetconstrER = $true) & (setunionAx = $true) & (notinsingleton = $true) & (descrp = $true) & (quantDeMorgan1 = $true) & (notinemptyset = $true) & (setadjoinIR = $true) & (setadjoinSub = $true) & (subsetRefl = $true) & (subsetE2 = $true) & (eqimpsubset2 = $true) & (notsubsetI = $true) & (exuE1 = $true) & (eqimpsubset1 = $true) & (setextAx = $true) & (setadjoinE = $true) & (prop2setI = $true) & (setext = $true) & (exuE3u = $true) & (foundationAx = $true) & (dsetconstr__Cong = $true) & (subsetI2 = $true) & (setadjoin__Cong = $true) & (omegaSAx = $true) & (omega0Ax = $true) & (uniqinunit = $true) & (setadjoinOr = $true) & (nonemptyI = $true) & (emptysetE = $true) & (exuE2 = $true) & (setadjoinAx = $true) & (notdallE = $true) & (exuI1 = $true) & (omegaIndAx = $true) & (subsetTrans = $true) & (emptysetimpfalse = $true) & (subset2powerset = $true) & (setunionI = $true) & (setadjoinIL = $true) & (exu__Cong = $true) & (notdexE = $true) & (powersetI = $true) & (prop2set2propI = $true) & (setbeta = $true) & (singletonsswitch = $true) & (exuE3e = $true) & (wellorderingAx = $true) & (exuEu = $true) & (in__Cong = $true) & (nonemptyImpWitness = $true) & (vacuousDall = $true) & (quantDeMorgan2 = $true) & (notequalI1 = $true) & (powerset__Cong = $true) & (subsetI1 = $true) & (setunionE = $true) & (inCongP = $true) & (emptyinPowerset = $true) & (upairsetIL = $true) & (exuI3 = $true) & (descr__Cong = $true) & (quantDeMorgan4 = $true) & (emptyset__Cong = $true) & (setunion__Cong = $true) & (subsetemptysetimpeq = $true) & (dsetconstrI = $true) & (dsetconstrEL = $true) & (emptyE1 = $true) & (nonemptyE1 = $true) & (notequalI2 = $true) & (setadjoinSub2 = $true) & (noeltsimpempty = $true) & (omega__Cong = $true) & (nonemptyI1 = $true) & (prop2setE = $true) & (emptyInPowerset = $true) & (emptysetsubset = $true) & (setoftrueEq = $true)), 1.03/0.62 inference(flattening,[status(thm)],[f317])). 1.03/0.62 thf(f317,plain,( 1.03/0.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i] : (($true != (in @ X1 @ (powerset @ X0))) & ($true = (subset @ X1 @ X0))) & (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)), 1.03/0.62 inference(ennf_transformation,[status(thm)],[f157])). 1.03/0.62 thf(f157,plain,( 1.03/0.62 ~((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) => ! [X0 : $i,X1 : $i] : (($true = (subset @ X1 @ X0)) => ($true = (in @ X1 @ (powerset @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.03/0.62 inference(fool_elimination,[status(thm)],[f156])). 1.03/0.62 thf(f156,plain,( 1.03/0.62 ~(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 => ! [X0 : $i,X1 : $i] : ((subset @ X1 @ X0) => (in @ X1 @ (powerset @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.03/0.62 inference(rectify,[status(thm)],[f96])). 1.03/0.62 thf(f96,negated_conjecture,( 1.03/0.62 ~(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 => ! [X3 : $i,X4 : $i] : ((subset @ X4 @ X3) => (in @ X4 @ (powerset @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.03/0.62 inference(negated_conjecture,[status(cth)],[f95])). 1.03/0.62 thf(f95,conjecture,( 1.03/0.62 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 => ! [X3 : $i,X4 : $i] : ((subset @ X4 @ X3) => (in @ X4 @ (powerset @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.03/0.62 file('/export/starexec/sandbox2/tmp/tmp.leY3JsRLnF/E---3.1_887218.p',powersetI1)). 1.03/0.62 thf(f1452,plain,( 1.03/0.62 ((subset @ sK21 @ sK20) != $true)), 1.03/0.62 inference(trivial_inequality_removal,[status(thm)],[f1451])). 1.03/0.62 thf(f1451,plain,( 1.03/0.62 ($true != $true) | ((subset @ sK21 @ sK20) != $true)), 1.03/0.62 inference(forward_demodulation,[status(thm)],[f1450,f925])). 1.03/0.62 thf(f925,plain,( 1.03/0.62 (subset2powerset = $true)), 1.03/0.62 inference(cnf_transformation,[status(thm)],[f441])). 1.03/0.62 thf(f1450,plain,( 1.03/0.62 ((subset @ sK21 @ sK20) != $true) | (subset2powerset != $true)), 1.03/0.62 inference(trivial_inequality_removal,[status(thm)],[f1439])). 1.03/0.62 thf(f1439,plain,( 1.03/0.62 (subset2powerset != $true) | ((subset @ sK21 @ sK20) != $true) | ($true != $true)), 1.03/0.62 inference(superposition,[status(thm)],[f972,f1145])). 1.03/0.62 thf(f1145,plain,( 1.03/0.62 ( ! [X0 : $i,X1 : $i] : (($true = (in @ X0 @ (powerset @ X1))) | ((subset @ X0 @ X1) != $true) | (subset2powerset != $true)) )), 1.03/0.62 inference(cnf_transformation,[status(thm)],[f638])). 1.03/0.62 thf(f638,plain,( 1.03/0.62 (! [X0 : $i,X1 : $i] : (((subset @ X0 @ X1) != $true) | ($true = (in @ X0 @ (powerset @ X1)))) | (subset2powerset != $true)) & ((subset2powerset = $true) | (($true = (subset @ sK136 @ sK137)) & ((in @ sK136 @ (powerset @ sK137)) != $true)))), 1.03/0.62 inference(skolemisation,[status(esa),new_symbols(skolem,[sK136,sK137])],[f636,f637])). 1.03/0.62 thf(f637,plain,( 1.03/0.62 ? [X2 : $i,X3 : $i] : (((subset @ X2 @ X3) = $true) & ((in @ X2 @ (powerset @ X3)) != $true)) => (($true = (subset @ sK136 @ sK137)) & ((in @ sK136 @ (powerset @ sK137)) != $true))), 1.03/0.62 introduced(definition,[],[choice_axiom])). 1.03/0.62 thf(f636,plain,( 1.03/0.62 (! [X0 : $i,X1 : $i] : (((subset @ X0 @ X1) != $true) | ($true = (in @ X0 @ (powerset @ X1)))) | (subset2powerset != $true)) & ((subset2powerset = $true) | ? [X2 : $i,X3 : $i] : (((subset @ X2 @ X3) = $true) & ((in @ X2 @ (powerset @ X3)) != $true)))), 1.03/0.62 inference(rectify,[status(thm)],[f635])). 1.03/0.62 thf(f635,plain,( 1.03/0.62 (! [X0 : $i,X1 : $i] : (((subset @ X0 @ X1) != $true) | ($true = (in @ X0 @ (powerset @ X1)))) | (subset2powerset != $true)) & ((subset2powerset = $true) | ? [X0 : $i,X1 : $i] : (((subset @ X0 @ X1) = $true) & ($true != (in @ X0 @ (powerset @ X1)))))), 1.03/0.62 inference(nnf_transformation,[status(thm)],[f320])). 1.03/0.62 thf(f320,plain,( 1.03/0.62 ! [X0 : $i,X1 : $i] : (((subset @ X0 @ X1) != $true) | ($true = (in @ X0 @ (powerset @ X1)))) <=> (subset2powerset = $true)), 1.03/0.62 inference(ennf_transformation,[status(thm)],[f145])). 1.03/0.62 thf(f145,plain,( 1.03/0.62 ! [X0 : $i,X1 : $i] : (((subset @ X0 @ X1) = $true) => ($true = (in @ X0 @ (powerset @ X1)))) <=> (subset2powerset = $true)), 1.03/0.62 inference(fool_elimination,[status(thm)],[f144])). 1.03/0.62 thf(f144,plain,( 1.03/0.62 (subset2powerset = ! [X0 : $i,X1 : $i] : ((subset @ X0 @ X1) => (in @ X0 @ (powerset @ X1))))), 1.03/0.62 inference(rectify,[status(thm)],[f92])). 1.03/0.62 thf(f92,axiom,( 1.03/0.62 (subset2powerset = ! [X3 : $i,X4 : $i] : ((subset @ X3 @ X4) => (in @ X3 @ (powerset @ X4))))), 1.03/0.62 file('/export/starexec/sandbox2/tmp/tmp.leY3JsRLnF/E---3.1_887218.p',subset2powerset)). 1.03/0.62 thf(f972,plain,( 1.03/0.62 ((in @ sK21 @ (powerset @ sK20)) != $true)), 1.03/0.62 inference(cnf_transformation,[status(thm)],[f441])). 1.03/0.62 % SZS output end Proof for E---3.1_887218 1.03/0.62 % (887385)------------------------------ 1.03/0.62 % (887385)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.03/0.62 % (887385)Termination reason: Refutation 1.03/0.62 1.03/0.62 % (887385)Memory used [KB]: 7036 1.03/0.62 % (887385)Time elapsed: 0.068 s 1.03/0.62 % (887385)Instructions burned: 96 (million) 1.03/0.62 % (887385)------------------------------ 1.03/0.62 % (887385)------------------------------ 1.03/0.62 % (887333)Success in time 0.179 s 1.03/0.62 EOF