0.05/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.11 % Command : run_vampire %s %d THM 0.09/0.31 % Computer : n031.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 1920 0.09/0.31 % WCLimit : 240 0.09/0.31 % DateTime : Wed Jul 30 03:49:34 EDT 2025 0.09/0.31 % CPUTime : 0.15/0.32 This is a THF_ problem 0.15/0.33 Running higher-order theorem proving 0.15/0.38 Running /export/starexec/sandbox/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/sandbox/tmp/tmp.UxBX7xBauf/E---3.1_15397.p -m 16384 -t 240 0.21/0.42 % (15508)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_15397 for (2399ds/2Mi) 0.21/0.42 % (15510)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_15397 for (2399ds/275Mi) 0.21/0.42 % (15509)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_15397 for (2399ds/2Mi) 0.21/0.42 % (15508)Instruction limit reached! 0.21/0.42 % (15508)------------------------------ 0.21/0.42 % (15508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.42 % (15508)Termination reason: Unknown 0.21/0.42 % (15508)Termination phase: shuffling 0.21/0.42 0.21/0.42 % (15508)Memory used [KB]: 1407 0.21/0.42 % (15508)Time elapsed: 0.003 s 0.21/0.42 % (15508)Instructions burned: 3 (million) 0.21/0.42 % (15508)------------------------------ 0.21/0.42 % (15508)------------------------------ 0.21/0.42 % (15509)Instruction limit reached! 0.21/0.42 % (15509)------------------------------ 0.21/0.42 % (15509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.42 % (15509)Termination reason: Unknown 0.21/0.42 % (15509)Termination phase: shuffling 0.21/0.42 0.21/0.42 % (15509)Memory used [KB]: 1407 0.21/0.42 % (15509)Time elapsed: 0.003 s 0.21/0.42 % (15509)Instructions burned: 2 (million) 0.21/0.42 % (15509)------------------------------ 0.21/0.42 % (15509)------------------------------ 0.21/0.43 % (15506)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_15397 for (2399ds/4Mi) 0.21/0.43 % (15511)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_15397 for (2399ds/18Mi) 0.21/0.43 % (15505)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_15397 for (2399ds/183Mi) 0.21/0.44 % (15511)Instruction limit reached! 0.21/0.44 % (15511)------------------------------ 0.21/0.44 % (15511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.44 % (15511)Termination reason: Unknown 0.21/0.44 % (15511)Termination phase: shuffling 0.21/0.44 0.21/0.44 % (15511)Memory used [KB]: 1791 0.21/0.44 % (15511)Time elapsed: 0.011 s 0.21/0.44 % (15511)Instructions burned: 18 (million) 0.21/0.44 % (15511)------------------------------ 0.21/0.44 % (15511)------------------------------ 0.21/0.44 % (15506)Instruction limit reached! 0.21/0.44 % (15506)------------------------------ 0.21/0.44 % (15506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.44 % (15506)Termination reason: Unknown 0.21/0.44 % (15506)Termination phase: shuffling 0.21/0.44 0.21/0.44 % (15506)Memory used [KB]: 1535 0.21/0.44 % (15506)Time elapsed: 0.005 s 0.21/0.44 % (15506)Instructions burned: 5 (million) 0.21/0.44 % (15506)------------------------------ 0.21/0.44 % (15506)------------------------------ 0.21/0.44 % (15507)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_15397 for (2399ds/27Mi) 0.21/0.45 % (15507)Instruction limit reached! 0.21/0.45 % (15507)------------------------------ 0.21/0.45 % (15507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.45 % (15507)Termination reason: Unknown 0.21/0.45 % (15507)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (15507)Memory used [KB]: 1918 0.21/0.45 % (15507)Time elapsed: 0.015 s 0.21/0.45 % (15507)Instructions burned: 28 (million) 0.21/0.45 % (15507)------------------------------ 0.21/0.45 % (15507)------------------------------ 0.21/0.46 % (15514)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_15397 for (2399ds/15Mi) 0.21/0.46 % (15514)Instruction limit reached! 0.21/0.46 % (15514)------------------------------ 0.21/0.46 % (15514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.46 % (15514)Termination reason: Unknown 0.21/0.46 % (15514)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (15514)Memory used [KB]: 1663 0.21/0.46 % (15514)Time elapsed: 0.009 s 0.21/0.46 % (15514)Instructions burned: 15 (million) 0.21/0.46 % (15514)------------------------------ 0.21/0.46 % (15514)------------------------------ 0.21/0.46 % (15513)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_15397 for (2399ds/37Mi) 0.21/0.47 % (15512)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_15397 for (2399ds/3Mi) 0.21/0.47 % (15512)Instruction limit reached! 0.21/0.47 % (15512)------------------------------ 0.21/0.47 % (15512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.47 % (15512)Termination reason: Unknown 0.21/0.47 % (15512)Termination phase: shuffling 0.21/0.47 0.21/0.47 % (15512)Memory used [KB]: 1407 0.21/0.47 % (15512)Time elapsed: 0.004 s 0.21/0.47 % (15512)Instructions burned: 4 (million) 0.21/0.47 % (15512)------------------------------ 0.21/0.47 % (15512)------------------------------ 0.21/0.48 % (15515)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_15397 for (2399ds/3Mi) 0.21/0.48 % (15515)Instruction limit reached! 0.21/0.48 % (15515)------------------------------ 0.21/0.48 % (15515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.48 % (15515)Termination reason: Unknown 0.21/0.48 % (15515)Termination phase: shuffling 0.21/0.48 0.21/0.48 % (15515)Memory used [KB]: 1535 0.21/0.48 % (15515)Time elapsed: 0.004 s 0.21/0.48 % (15515)Instructions burned: 5 (million) 0.21/0.48 % (15515)------------------------------ 0.21/0.48 % (15515)------------------------------ 0.21/0.50 % (15519)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_15397 for (2399ds/3Mi) 0.21/0.50 % (15513)Instruction limit reached! 0.21/0.50 % (15513)------------------------------ 0.21/0.50 % (15513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.50 % (15513)Termination reason: Unknown 0.21/0.50 % (15513)Termination phase: shuffling 0.21/0.50 0.21/0.50 % (15513)Memory used [KB]: 2174 0.21/0.50 % (15513)Time elapsed: 0.023 s 0.21/0.50 % (15513)Instructions burned: 38 (million) 0.21/0.50 % (15513)------------------------------ 0.21/0.50 % (15513)------------------------------ 0.21/0.50 % (15519)Instruction limit reached! 0.21/0.50 % (15519)------------------------------ 0.21/0.50 % (15519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.50 % (15519)Termination reason: Unknown 0.21/0.50 % (15519)Termination phase: shuffling 0.21/0.50 0.21/0.50 % (15519)Memory used [KB]: 1407 0.21/0.50 % (15519)Time elapsed: 0.004 s 0.21/0.50 % (15519)Instructions burned: 3 (million) 0.21/0.50 % (15519)------------------------------ 0.21/0.50 % (15519)------------------------------ 0.21/0.51 % (15517)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_15397 for (2399ds/7Mi) 0.21/0.51 % (15517)Instruction limit reached! 0.21/0.51 % (15517)------------------------------ 0.21/0.51 % (15517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.21/0.51 % (15517)Termination reason: Unknown 0.21/0.51 % (15517)Termination phase: shuffling 0.21/0.51 0.21/0.51 % (15517)Memory used [KB]: 1535 0.21/0.51 % (15517)Time elapsed: 0.006 s 0.21/0.51 % (15517)Instructions burned: 8 (million) 0.21/0.51 % (15517)------------------------------ 0.21/0.51 % (15517)------------------------------ 0.21/0.53 % (15516)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_15397 for (2399ds/1041Mi) 0.21/0.53 % (15521)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_15397 for (2398ds/7Mi) 0.65/0.54 % (15521)Instruction limit reached! 0.65/0.54 % (15521)------------------------------ 0.65/0.54 % (15521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.65/0.54 % (15521)Termination reason: Unknown 0.65/0.54 % (15521)Termination phase: shuffling 0.65/0.54 0.65/0.54 % (15521)Memory used [KB]: 1535 0.65/0.54 % (15521)Time elapsed: 0.006 s 0.65/0.54 % (15521)Instructions burned: 9 (million) 0.65/0.54 % (15521)------------------------------ 0.65/0.54 % (15521)------------------------------ 0.65/0.54 % (15520)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_15397 for (2398ds/3Mi) 0.65/0.54 % (15520)Instruction limit reached! 0.65/0.54 % (15520)------------------------------ 0.65/0.54 % (15520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.65/0.54 % (15520)Termination reason: Unknown 0.65/0.54 % (15520)Termination phase: shuffling 0.65/0.54 0.65/0.54 % (15520)Memory used [KB]: 1535 0.65/0.54 % (15520)Time elapsed: 0.005 s 0.65/0.54 % (15520)Instructions burned: 4 (million) 0.65/0.54 % (15520)------------------------------ 0.65/0.54 % (15520)------------------------------ 0.65/0.55 % (15510)Instruction limit reached! 0.65/0.55 % (15510)------------------------------ 0.65/0.55 % (15510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.65/0.55 % (15510)Termination reason: Unknown 0.65/0.55 % (15510)Termination phase: Saturation 0.65/0.55 0.65/0.55 % (15510)Memory used [KB]: 9594 0.65/0.55 % (15510)Time elapsed: 0.133 s 0.65/0.55 % (15510)Instructions burned: 276 (million) 0.65/0.55 % (15510)------------------------------ 0.65/0.55 % (15510)------------------------------ 0.74/0.56 % (15522)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_15397 for (2398ds/3Mi) 0.74/0.57 % (15518)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_15397 for (2399ds/16Mi) 0.74/0.58 % (15522)Instruction limit reached! 0.74/0.58 % (15522)------------------------------ 0.74/0.58 % (15522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.74/0.58 % (15522)Termination reason: Unknown 0.74/0.58 % (15522)Termination phase: shuffling 0.74/0.58 0.74/0.58 % (15522)Memory used [KB]: 1407 0.74/0.58 % (15522)Time elapsed: 0.004 s 0.74/0.58 % (15522)Instructions burned: 3 (million) 0.74/0.58 % (15522)------------------------------ 0.74/0.58 % (15522)------------------------------ 0.74/0.59 % (15523)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_15397 for (2398ds/4Mi) 0.74/0.59 % (15518)Instruction limit reached! 0.74/0.59 % (15518)------------------------------ 0.74/0.59 % (15518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.74/0.59 % (15518)Termination reason: Unknown 0.74/0.59 % (15518)Termination phase: shuffling 0.74/0.59 0.74/0.59 % (15518)Memory used [KB]: 1791 0.74/0.59 % (15518)Time elapsed: 0.011 s 0.74/0.59 % (15518)Instructions burned: 17 (million) 0.74/0.59 % (15518)------------------------------ 0.74/0.59 % (15518)------------------------------ 0.74/0.59 % (15524)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_15397 for (2398ds/18Mi) 0.74/0.60 % (15523)Instruction limit reached! 0.74/0.60 % (15523)------------------------------ 0.74/0.60 % (15523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.74/0.60 % (15523)Termination reason: Unknown 0.74/0.60 % (15523)Termination phase: shuffling 0.74/0.60 0.74/0.60 % (15523)Memory used [KB]: 1535 0.74/0.60 % (15523)Time elapsed: 0.005 s 0.74/0.60 % (15523)Instructions burned: 5 (million) 0.74/0.60 % (15523)------------------------------ 0.74/0.60 % (15523)------------------------------ 0.74/0.60 % (15524)Instruction limit reached! 0.74/0.60 % (15524)------------------------------ 0.74/0.60 % (15524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.74/0.61 % (15525)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_15397 for (2398ds/710Mi) 0.74/0.61 % (15526)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_15397 for (2398ds/6Mi) 0.74/0.62 % (15524)Termination reason: Unknown 0.74/0.62 % (15524)Termination phase: shuffling 0.74/0.62 0.74/0.62 % (15524)Memory used [KB]: 1791 0.74/0.62 % (15524)Time elapsed: 0.011 s 0.74/0.62 % (15524)Instructions burned: 19 (million) 0.74/0.62 % (15524)------------------------------ 0.74/0.62 % (15524)------------------------------ 0.74/0.62 % (15527)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_15397 for (2398ds/902Mi) 0.74/0.63 % (15526)Instruction limit reached! 0.74/0.63 % (15526)------------------------------ 0.74/0.63 % (15526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.74/0.63 % (15526)Termination reason: Unknown 0.74/0.63 % (15526)Termination phase: shuffling 0.74/0.63 0.74/0.63 % (15526)Memory used [KB]: 1535 0.74/0.63 % (15526)Time elapsed: 0.006 s 0.74/0.63 % (15526)Instructions burned: 6 (million) 0.74/0.63 % (15526)------------------------------ 0.74/0.63 % (15526)------------------------------ 0.74/0.64 % (15528)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_15397 for (2397ds/21Mi) 0.91/0.65 % (15505)Instruction limit reached! 0.91/0.65 % (15505)------------------------------ 0.91/0.65 % (15505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.91/0.66 % (15529)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_15397 for (2397ds/5Mi) 0.91/0.66 % (15528)Instruction limit reached! 0.91/0.66 % (15528)------------------------------ 0.91/0.66 % (15528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.91/0.66 % (15505)Termination reason: Unknown 0.91/0.66 % (15505)Termination phase: Saturation 0.91/0.66 0.91/0.66 % (15505)Memory used [KB]: 7547 0.91/0.66 % (15505)Time elapsed: 0.096 s 0.91/0.66 % (15505)Instructions burned: 183 (million) 0.91/0.66 % (15505)------------------------------ 0.91/0.66 % (15505)------------------------------ 0.91/0.66 % (15529)Instruction limit reached! 0.91/0.66 % (15529)------------------------------ 0.91/0.66 % (15529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.91/0.66 % (15528)Termination reason: Unknown 0.91/0.66 % (15528)Termination phase: shuffling 0.91/0.66 0.91/0.66 % (15528)Memory used [KB]: 1918 0.91/0.66 % (15528)Time elapsed: 0.014 s 0.91/0.66 % (15528)Instructions burned: 22 (million) 0.91/0.66 % (15528)------------------------------ 0.91/0.66 % (15528)------------------------------ 0.91/0.67 % (15529)Termination reason: Unknown 0.91/0.67 % (15529)Termination phase: shuffling 0.91/0.67 0.91/0.67 % (15529)Memory used [KB]: 1535 0.91/0.67 % (15529)Time elapsed: 0.007 s 0.91/0.67 % (15529)Instructions burned: 5 (million) 0.91/0.67 % (15529)------------------------------ 0.91/0.67 % (15529)------------------------------ 0.91/0.68 % (15530)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_15397 for (2397ds/6Mi) 0.98/0.69 % (15530)Instruction limit reached! 0.98/0.69 % (15530)------------------------------ 0.98/0.69 % (15530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.98/0.69 % (15531)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_15397 for (2397ds/377Mi) 0.98/0.69 % (15530)Termination reason: Unknown 0.98/0.69 % (15530)Termination phase: shuffling 0.98/0.69 0.98/0.69 % (15530)Memory used [KB]: 1535 0.98/0.69 % (15530)Time elapsed: 0.006 s 0.98/0.69 % (15530)Instructions burned: 8 (million) 0.98/0.69 % (15530)------------------------------ 0.98/0.69 % (15530)------------------------------ 0.98/0.70 % (15532)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_15397 for (2397ds/779Mi) 0.98/0.71 % (15533)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_15397 for (2397ds/19Mi) 0.98/0.71 % (15533)Instruction limit reached! 0.98/0.71 % (15533)------------------------------ 0.98/0.71 % (15533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.98/0.73 % (15533)Termination reason: Unknown 0.98/0.73 % (15533)Termination phase: shuffling 0.98/0.73 0.98/0.73 % (15533)Memory used [KB]: 1791 0.98/0.73 % (15533)Time elapsed: 0.010 s 0.98/0.73 % (15533)Instructions burned: 19 (million) 0.98/0.73 % (15533)------------------------------ 0.98/0.73 % (15533)------------------------------ 0.98/0.73 % (15534)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_15397 for (2397ds/879Mi) 1.08/0.79 % (15535)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_15397 for (2396ds/17Mi) 1.11/0.81 % (15535)Instruction limit reached! 1.11/0.81 % (15535)------------------------------ 1.11/0.81 % (15535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.11/0.81 % (15535)Termination reason: Unknown 1.11/0.81 % (15535)Termination phase: shuffling 1.11/0.81 1.11/0.81 % (15535)Memory used [KB]: 1791 1.11/0.81 % (15535)Time elapsed: 0.011 s 1.11/0.81 % (15535)Instructions burned: 18 (million) 1.11/0.81 % (15535)------------------------------ 1.11/0.81 % (15535)------------------------------ 1.15/0.86 % (15536)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_15397 for (2395ds/3Mi) 1.15/0.88 % (15536)Instruction limit reached! 1.15/0.88 % (15536)------------------------------ 1.15/0.88 % (15536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.15/0.88 % (15536)Termination reason: Unknown 1.15/0.88 % (15536)Termination phase: shuffling 1.15/0.88 1.15/0.88 % (15536)Memory used [KB]: 1407 1.15/0.88 % (15536)Time elapsed: 0.005 s 1.15/0.88 % (15536)Instructions burned: 3 (million) 1.15/0.88 % (15536)------------------------------ 1.15/0.88 % (15536)------------------------------ 1.15/0.94 % (15537)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_15397 for (2395ds/30Mi) 1.21/0.95 % (15527)First to succeed. 1.21/0.96 % (15527)Refutation found. Thanks to Tanya! 1.21/0.96 % SZS status Theorem for E---3.1_15397 1.21/0.96 % SZS output start Proof for E---3.1_15397 1.21/0.96 thf(func_def_0, type, in: $i > $i > $o). 1.21/0.96 thf(func_def_1, type, exu: ($i > $o) > $o). 1.21/0.96 thf(func_def_6, type, setadjoin: $i > $i > $i). 1.21/0.96 thf(func_def_8, type, powerset: $i > $i). 1.21/0.96 thf(func_def_10, type, setunion: $i > $i). 1.21/0.96 thf(func_def_19, type, descr: ($i > $o) > $i). 1.21/0.96 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 1.21/0.96 thf(func_def_26, type, prop2set: $o > $i). 1.21/0.96 thf(func_def_36, type, nonempty: $i > $o). 1.21/0.96 thf(func_def_69, type, set2prop: $i > $o). 1.21/0.96 thf(func_def_88, type, subset: $i > $i > $o). 1.21/0.96 thf(func_def_89, type, disjoint: $i > $i > $o). 1.21/0.96 thf(func_def_90, type, setsmeet: $i > $i > $o). 1.21/0.96 thf(func_def_114, type, binunion: $i > $i > $i). 1.21/0.96 thf(func_def_122, type, binintersect: $i > $i > $i). 1.21/0.96 thf(func_def_135, type, regular: $i > $o). 1.21/0.96 thf(func_def_136, type, setminus: $i > $i > $i). 1.21/0.96 thf(func_def_147, type, symdiff: $i > $i > $i). 1.21/0.96 thf(func_def_153, type, iskpair: $i > $o). 1.21/0.96 thf(func_def_158, type, kpair: $i > $i > $i). 1.21/0.96 thf(func_def_160, type, cartprod: $i > $i > $i). 1.21/0.96 thf(func_def_177, type, singleton: $i > $o). 1.21/0.96 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 1.21/0.96 thf(func_def_184, type, atmost1p: $i > $o). 1.21/0.96 thf(func_def_185, type, atleast2p: $i > $o). 1.21/0.96 thf(func_def_186, type, atmost2p: $i > $o). 1.21/0.96 thf(func_def_187, type, upairsetp: $i > $o). 1.21/0.96 thf(func_def_191, type, kfst: $i > $i). 1.21/0.96 thf(func_def_203, type, ksnd: $i > $i). 1.21/0.96 thf(func_def_213, type, breln: $i > $i > $i > $o). 1.21/0.96 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 1.21/0.96 thf(func_def_222, type, func: $i > $i > $i > $o). 1.21/0.96 thf(func_def_223, type, funcSet: $i > $i > $i). 1.21/0.96 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 1.21/0.96 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 1.21/0.96 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 1.21/0.96 thf(func_def_295, type, sP0: $i > $i > $o). 1.21/0.96 thf(func_def_296, type, sP1: $i > $o). 1.21/0.96 thf(func_def_297, type, sP2: $i > $i > $o). 1.21/0.96 thf(func_def_298, type, sP3: $i > $i > $o). 1.21/0.96 thf(func_def_299, type, sP4: $i > $i > $i > $o). 1.21/0.96 thf(func_def_301, type, sP6: $i > $i > $i > $i > $o). 1.21/0.96 thf(func_def_304, type, sP9: $o > $i > $i > $i > $o). 1.21/0.96 thf(func_def_317, type, sK22: $i > $i). 1.21/0.96 thf(func_def_320, type, sK25: $i > $i). 1.21/0.96 thf(func_def_321, type, sK26: $i > $o). 1.21/0.96 thf(func_def_324, type, sK29: $i > $o). 1.21/0.96 thf(func_def_332, type, sK37: $i > $i > $i). 1.21/0.96 thf(func_def_341, type, sK46: $i > $i > $i). 1.21/0.96 thf(func_def_342, type, sK47: $i > $i > $i). 1.21/0.96 thf(func_def_343, type, sK48: $i > $i > $i). 1.21/0.96 thf(func_def_344, type, sK49: $i > $i > $i). 1.21/0.96 thf(func_def_345, type, sK50: $i > $i > $i). 1.21/0.96 thf(func_def_346, type, sK51: $i > $i > $i > $i). 1.21/0.96 thf(func_def_347, type, sK52: $i > $i). 1.21/0.96 thf(func_def_348, type, sK53: $i > $i). 1.21/0.96 thf(func_def_349, type, sK54: $i > $i). 1.21/0.96 thf(func_def_350, type, sK55: $i > $i). 1.21/0.96 thf(func_def_351, type, sK56: $i > $i > $i). 1.21/0.96 thf(func_def_352, type, sK57: $i > $i > $i > $i). 1.21/0.96 thf(func_def_353, type, sK58: $i > $i > $i > $i). 1.21/0.96 thf(func_def_354, type, sK59: $i > $i > $i). 1.21/0.96 thf(func_def_355, type, sK60: $i > $i > $i). 1.21/0.96 thf(func_def_356, type, sK61: $i > $i). 1.21/0.96 thf(func_def_358, type, sK63: $i > $i). 1.21/0.96 thf(func_def_359, type, sK64: $i > $i). 1.21/0.96 thf(func_def_363, type, sK68: $i > $i > $i > $i). 1.21/0.96 thf(func_def_364, type, sK69: $i > $i > $i > $i). 1.21/0.96 thf(func_def_374, type, sK79: $i > $i). 1.21/0.96 thf(func_def_376, type, sK81: $i > ($i > $i) > $i > $i). 1.21/0.96 thf(func_def_380, type, sK85: $i > $i > $i). 1.21/0.96 thf(func_def_390, type, sK95: $i > $i). 1.21/0.96 thf(func_def_400, type, sK105: $i > $i). 1.21/0.96 thf(func_def_445, type, sK150: $i > $o). 1.21/0.96 thf(func_def_446, type, sK151: $i > $o). 1.21/0.96 thf(func_def_447, type, sK152: ($i > $o) > ($i > $o) > $i > $i > $i). 1.21/0.96 thf(func_def_448, type, sK153: ($i > $o) > ($i > $o) > $i > $i > $i). 1.21/0.96 thf(func_def_453, type, sK158: $i > $o). 1.21/0.96 thf(func_def_455, type, sK160: ($i > $o) > $i > $i). 1.21/0.96 thf(func_def_462, type, sK167: $i > $o). 1.21/0.96 thf(func_def_464, type, sK169: ($i > $o) > $i > $i > $i > $i). 1.21/0.96 thf(func_def_465, type, sK170: ($i > $o) > $i > $i > $i > $i). 1.21/0.96 thf(func_def_466, type, sK171: $i > $o). 1.21/0.96 thf(func_def_469, type, sK174: $i > ($i > $o) > $i). 1.21/0.96 thf(func_def_470, type, sK175: $i > $i > ($i > $i) > $i). 1.21/0.96 thf(func_def_471, type, sK176: $i > $i). 1.21/0.96 thf(func_def_488, type, sK193: $i > $o). 1.21/0.96 thf(func_def_498, type, sK203: $i > $i > $o). 1.21/0.96 thf(func_def_499, type, sK204: $i > $i). 1.21/0.96 thf(func_def_500, type, sK205: $i > $i). 1.21/0.96 thf(func_def_501, type, sK206: ($i > $i > $o) > $i > $i). 1.21/0.96 thf(func_def_502, type, sK207: ($i > $i > $o) > $i > $i). 1.21/0.96 thf(func_def_503, type, sK208: $i > ($i > $i > $o) > $i > $i). 1.21/0.96 thf(func_def_504, type, sK209: $i > $o). 1.21/0.96 thf(func_def_507, type, sK212: $i > $i > ($i > $o) > $i). 1.21/0.96 thf(func_def_508, type, sK213: $i > $i > $i > $i > $i). 1.21/0.96 thf(func_def_517, type, sK222: $i > $o). 1.21/0.96 thf(func_def_520, type, sK225: $i > ($i > $o) > $i). 1.21/0.96 thf(func_def_536, type, sK241: $i > $o). 1.21/0.96 thf(func_def_538, type, sK243: ($i > $o) > $i > $i > $i > $i). 1.21/0.96 thf(func_def_539, type, sK244: ($i > $o) > $i > $i > $i > $i). 1.21/0.96 thf(func_def_562, type, sK267: $i > $i > $i > $i > $i). 1.21/0.96 thf(func_def_563, type, sK268: $i > $i > $i > $i > $i). 1.21/0.96 thf(func_def_564, type, sK269: $i > $i > $i > $i > $i). 1.21/0.96 thf(func_def_565, type, sK270: $i > $i > $i > $i > $i). 1.21/0.96 thf(func_def_575, type, sK280: ($i > $o) > $i > $i). 1.21/0.96 thf(func_def_577, type, sK282: $i > $o). 1.21/0.96 thf(func_def_590, type, sK295: $i > $i > $i > $i > $i). 1.21/0.96 thf(func_def_593, type, sK298: $i > $i). 1.21/0.96 thf(func_def_596, type, sK301: $i > $i > ($i > $i) > $i). 1.21/0.96 thf(func_def_597, type, sK302: $i > $o). 1.21/0.96 thf(func_def_598, type, sK303: ($i > $o) > $i). 1.21/0.96 thf(func_def_611, type, sK316: $i > $i > $o). 1.21/0.96 thf(func_def_613, type, sK318: $i > $o). 1.21/0.96 thf(func_def_618, type, sK323: $i > $o). 1.21/0.96 thf(func_def_620, type, sK325: ($i > $o) > $i). 1.21/0.96 thf(func_def_621, type, sK326: ($i > $o) > $i). 1.21/0.96 thf(func_def_636, type, sK341: $i > $o). 1.21/0.96 thf(func_def_638, type, sK343: ($i > $o) > $i > $i). 1.21/0.96 thf(func_def_639, type, sK344: ($i > $o) > $i > $i). 1.21/0.96 thf(func_def_643, type, sK348: $i > $o). 1.21/0.96 thf(func_def_648, type, sK353: $i > ($i > $i) > $i > $i). 1.21/0.96 thf(func_def_650, type, sK355: $i > $i). 1.21/0.96 thf(func_def_658, type, sK363: $i > $i). 1.21/0.96 thf(func_def_661, type, sK366: $i > $i > $i). 1.21/0.96 thf(func_def_682, type, sK387: $i > $o). 1.21/0.96 thf(func_def_685, type, sK390: $i > $i > $i). 1.21/0.96 thf(func_def_725, type, sK430: $i > $o). 1.21/0.96 thf(func_def_733, type, sK438: $i > $i > $i). 1.21/0.96 thf(func_def_734, type, sK439: $i > $i > $i). 1.21/0.96 thf(func_def_737, type, sK442: $i > $i > $o). 1.21/0.96 thf(func_def_745, type, sK450: $i > $i). 1.21/0.96 thf(func_def_748, type, sK453: $i > $i > $i). 1.21/0.96 thf(func_def_753, type, sK458: $i > $i > $o). 1.21/0.96 thf(func_def_755, type, sK460: $i > $o). 1.21/0.96 thf(func_def_797, type, sK502: $i > $i). 1.21/0.96 thf(func_def_798, type, sK503: $i > $i > ($i > $i) > $i). 1.21/0.96 thf(func_def_799, type, sK504: $i > $i). 1.21/0.96 thf(func_def_803, type, sK508: $i > ($i > $o) > $i). 1.21/0.96 thf(func_def_804, type, sK509: $i > $o). 1.21/0.96 thf(func_def_824, type, sK529: $i > $o). 1.21/0.96 thf(func_def_836, type, sK541: $i > $i > $i > $i). 1.21/0.96 thf(func_def_845, type, sK550: $i > $o). 1.21/0.96 thf(func_def_846, type, sK551: $i > $i). 1.21/0.96 thf(func_def_847, type, sK552: ($i > $o) > $i). 1.21/0.96 thf(func_def_854, type, sK559: $i > $i > $i). 1.21/0.96 thf(func_def_858, type, sK563: $i > $i > $i > $i). 1.21/0.96 thf(func_def_862, type, sK567: $i > $o). 1.21/0.96 thf(func_def_870, type, sK575: $i > $i > $o). 1.21/0.96 thf(func_def_873, type, sK578: $i > $i > $o). 1.21/0.96 thf(func_def_883, type, sK588: $i > $o). 1.21/0.96 thf(func_def_893, type, sK598: $i > $i > $i > $i > $i). 1.21/0.96 thf(func_def_899, type, sK604: $o > $i > $i > $i). 1.21/0.96 thf(func_def_909, type, sK614: $i > $o). 1.21/0.96 thf(func_def_910, type, sK615: $i > $o). 1.21/0.96 thf(func_def_911, type, sK616: ($i > $o) > ($i > $o) > $i). 1.21/0.96 thf(func_def_912, type, sK617: ($i > $o) > ($i > $o) > $i). 1.21/0.96 thf(func_def_913, type, sK618: $i > $i > $i > $i > $i). 1.21/0.96 thf(func_def_914, type, sK619: $i > $i > $i > $i > $i). 1.21/0.96 thf(func_def_922, type, sK627: $i > $i > $o). 1.21/0.96 thf(func_def_932, type, sK637: $i > $o). 1.21/0.96 thf(func_def_934, type, sK639: $i > ($i > $o) > $i). 1.21/0.96 thf(func_def_947, type, sK652: ($i > $o) > $i). 1.21/0.96 thf(func_def_948, type, sK653: $i > $o). 1.21/0.96 thf(func_def_949, type, sK654: $i > $i). 1.21/0.96 thf(func_def_968, type, sK673: $i > $i > $o). 1.21/0.96 thf(func_def_975, type, sK680: $i > $i > $i). 1.21/0.96 thf(func_def_983, type, sK688: $i > $o). 1.21/0.96 thf(func_def_985, type, sK690: ($i > $o) > $i > $i). 1.21/0.96 thf(func_def_986, type, sK691: $i > $o). 1.21/0.96 thf(func_def_999, type, sK704: $i > ($i > $o) > $i). 1.21/0.96 thf(func_def_1000, type, sK705: $i > $o). 1.21/0.96 thf(func_def_1005, type, sK710: $i > $o). 1.21/0.96 thf(func_def_1015, type, sK720: $i > ($i > $o) > $i). 1.21/0.96 thf(func_def_1016, type, sK721: $i > $o). 1.21/0.96 thf(func_def_1023, type, sK728: $i > $i > $i). 1.21/0.96 thf(func_def_1035, type, sK740: $i > $o). 1.21/0.96 thf(func_def_1037, type, sK742: ($i > $o) > $i > $i). 1.21/0.96 thf(func_def_1038, type, sK743: ($i > $o) > $i > $i). 1.21/0.96 thf(func_def_1039, type, sK744: $i > $o). 1.21/0.96 thf(func_def_1040, type, sK745: $i > $o). 1.21/0.96 thf(func_def_1041, type, sK746: ($i > $o) > ($i > $o) > $i). 1.21/0.96 thf(func_def_1042, type, sK747: ($i > $o) > ($i > $o) > $i). 1.21/0.96 thf(func_def_1051, type, sK756: ($i > $i) > $i > $i > $i). 1.21/0.96 thf(func_def_1054, type, sK759: $i > $i). 1.21/0.96 thf(func_def_1065, type, sK770: $i > $i > $i > $i). 1.21/0.96 thf(func_def_1066, type, sK771: $i > $i > $i > $i). 1.21/0.96 thf(func_def_1068, type, ph773: !>[X0: $tType]:(X0)). 1.21/0.96 thf(f6004,plain,( 1.21/0.96 $false), 1.21/0.96 inference(avatar_sat_refutation,[status(thm)],[f3948,f5994])). 1.21/0.96 thf(f5994,plain,( 1.21/0.96 ~spl772_12), 1.21/0.96 inference(avatar_contradiction_clause,[status(thm)],[f5993])). 1.21/0.96 thf(f5993,plain,( 1.21/0.96 $false | ~spl772_12), 1.21/0.96 inference(trivial_inequality_removal,[status(thm)],[f5987])). 1.21/0.96 thf(f5987,plain,( 1.21/0.96 ($true != $true) | ~spl772_12), 1.21/0.96 inference(superposition,[status(thm)],[f3968,f2712])). 1.21/0.96 thf(f2712,plain,( 1.21/0.96 ($true = (in @ sK290 @ sK289))), 1.21/0.96 inference(cnf_transformation,[status(thm)],[f1514])). 1.21/0.96 thf(f1514,plain,( 1.21/0.96 (lamProp = $true) & (contrasubsetT3 = $true) & (notequalI1 = $true) & (infuncsetfunc = $true) & (kpairp = $true) & (subsetE = $true) & (lam2p = $true) & (subsetTrans = $true) & (lamp = $true) & (prop2setE = $true) & (contrasubsetT2 = $true) & (contrasubsetT = $true) & (setOfPairsIsBReln = $true) & (singletoninpowunion = $true) & (ex1I2 = $true) & (notdallE = $true) & (setunionsingleton2 = $true) & (sepInPowerset = $true) & (ubforcartprodlem2 = $true) & (binintersectLsub = $true) & (binintersectTELcontra = $true) & (dsetconstr__Cong = $true) & (emptysetsubset = $true) & (funcGraphProp4 = $true) & (emptyE1 = $true) & (binintersectRsub = $true) & (eqbreln = $true) & (setminusILneg = $true) & (inPowerset = $true) & (binintersectTERcontra = $true) & (powerset__Cong = $true) & (funcImageSingleton = $true) & (powersetI = $true) & (contrasubsetT1 = $true) & (cartprodsndin = $true) & (uniqinunit = $true) & (setunionE = $true) & (ex1E1 = $true) & (dpsetconstrEL2 = $true) & (powersetsubset = $true) & (funcinfuncset = $true) & (kpairsurjEq = $true) & (binintersectSubset1 = $true) & (exuEu = $true) & (subsetI2 = $true) & (iffalse = $true) & (exuE3u = $true) & (symdiffIneg1 = $true) & (funcGraphProp1 = $true) & (iffalseProp2 = $true) & (exuI2 = $true) & (eta2 = $true) & (ex1E2 = $true) & (dsetconstrER = $true) & (powersetI1 = $true) & (cartprodfstpairEq = $true) & (sepSubset = $true) & (in__Cong = $true) & (setunionsingleton = $true) & (symdiffI2 = $true) & (funcext2 = $true) & (emptysetAx = $true) & (setminusLsub = $true) & (lam2lamEq = $true) & (setadjoinE = $true) & (binintersectSubset3 = $true) & (ksndsingleton = $true) & (setoftrueEq = $true) & (ubforcartprodlem1 = $true) & (binintersectSubset5 = $true) & (subbreln = $true) & (ifSingleton = $true) & (dsetconstrEL = $true) & (setminusERneg = $true) & (app = $true) & (omega__Cong = $true) & (setbeta = $true) & (funcGraphProp3 = $true) & (powersetAx = $true) & (bs114d = $true) & (emptyInPowerset = $true) & (setminusEL = $true) & (upairset2IR = $true) & (dpsetconstrEL1 = $true) & (powersetT_lem = $true) & (upairsubunion = $true) & (ap2apEq1 = $true) & (kfstsingleton = $true) & (quantDeMorgan3 = $true) & (setadjoin__Cong = $true) & (binintersectI = $true) & (notdexE = $true) & (setunion__Cong = $true) & (subPowSU = $true) & (iftrueProp2 = $true) & (nonemptyImpWitness = $true) & (binunionIL = $true) & (singletonsuniq = $true) & (dpsetconstrER = $true) & (notequalI2 = $true) & (inCongP = $true) & (cartprodpairmemER = $true) & (exuE3e = $true) & (brelnall2 = $true) & (nonemptyI1 = $true) & (dpsetconstrERa = $true) & (dsetconstrI = $true) & (complementT_lem = $true) & (eqinunit = $true) & (binunionE = $true) & (disjointsetsI1 = $true) & (setadjoinIR = $true) & (binunionIR = $true) & (singletonsswitch = $true) & (ap2p = $true) & (beta1 = $true) & (vacuousDall = $true) & (replAx = $true) & (binunionRsub = $true) & (brelnall1 = $true) & (binintersectER = $true) & (setunionI = $true) & (nonemptyE1 = $true) & (iftrue = $true) & (emptysetE = $true) & (notsubsetI = $true) & (emptyI = $true) & (setadjoinSub2 = $true) & (emptyset__Cong = $true) & (setunionsingleton1 = $true) & (binunionLsub = $true) & (wellorderingAx = $true) & (subsetE2 = $true) & (ubforcartprodlem3 = $true) & (setminusSubset1 = $true) & (setadjoinSub = $true) & (powersetTI1 = $true) & (subset2powerset = $true) & (emptysetimpfalse = $true) & (exu__Cong = $true) & (upairequniteq = $true) & (theeq = $true) & (exuE1 = $true) & (setadjoinIL = $true) & (omegaIndAx = $true) & (eta1 = $true) & (descr__Cong = $true) & (upairsetIL = $true) & (dpsetconstrI = $true) & (dpsetconstrSub = $true) & (subsetTI = $true) & (upairsetE = $true) & (omegaSAx = $true) & (setunionE2 = $true) & (exuI3 = $true) & (binintersectSubset4 = $true) & (cartprodmempair = $true) & (symdiffE = $true) & (binunionT_lem = $true) & (exuI1 = $true) & (ap2apEq2 = $true) & (apProp = $true) & (powersetTE1 = $true) & (iftrueProp1 = $true) & (setadjoinOr = $true) & (quantDeMorgan2 = $true) & (theprop = $true) & (complementTE1 = $true) & (funcGraphProp2 = $true) & (setukpairinjL1 = $true) & ((($true != (in @ sK290 @ (setminus @ sK288 @ (setminus @ sK288 @ sK289)))) & ($true = (in @ sK290 @ sK289)) & ($true = (in @ sK290 @ sK288))) & ((in @ sK289 @ (powerset @ sK288)) = $true)) & (setextT = $true) & (binintersectT_lem = $true) & (descrp = $true) & (setminusSubset2 = $true) & (emptyinunitempty = $true) & (noeltsimpempty = $true) & (singletonsubset = $true) & (setukpairinjL2 = $true) & (eqimpsubset2 = $true) & (ex1I = $true) & (setext = $true) & (cartprodpairin = $true) & (symdiffI1 = $true) & (subsetI1 = $true) & (funcext = $true) & (setminusI = $true) & (quantDeMorgan1 = $true) & (setukpairinjR11 = $true) & (setminusELneg = $true) & (setukpairinjL = $true) & (setadjoinAx = $true) & (iffalseProp1 = $true) & (complementTI1 = $true) & (exuE2 = $true) & (beta2 = $true) & (upairinpowunion = $true) & (ifp = $true) & (powersetE = $true) & (powersetE1 = $true) & (setextAx = $true) & (setukpairinjR = $true) & (eqimpsubset1 = $true) & (cartprodmempaircEq = $true) & (secondinupair = $true) & (cartprodpairsurjEq = $true) & (binintersectEL = $true) & (kfstpairEq = $true) & (notinemptyset = $true) & (singletonprop = $true) & (cartprodsndpairEq = $true) & (singletoninpowerset = $true) & (emptyinPowerset = $true) & (upairsetIR = $true) & (cartprodfstin = $true) & (setukpairinjR2 = $true) & (prop2set2propI = $true) & (binunionEcases = $true) & (ksndpairEq = $true) & (setminusIRneg = $true) & (binintersectSubset2 = $true) & (setextsub = $true) & (subsetemptysetimpeq = $true) & (quantDeMorgan4 = $true) & (cartprodpairmemEL = $true) & (setukpairIL = $true) & (nonemptyI = $true) & (setminusER = $true) & (notinsingleton = $true) & (kpairiskpair = $true) & (setminusT_lem = $true) & (foundationAx = $true) & (setukpairinjR12 = $true) & (cartprodmempair1 = $true) & (setunionAx = $true) & (funcextLem = $true) & (symdiffIneg2 = $true) & (setukpairIR = $true) & (prop2setI = $true) & (omega0Ax = $true) & (upairset2E = $true) & (subsetRefl = $true) & (iftrueorfalse = $true) & (setukpairinjR1 = $true)), 1.21/0.96 inference(skolemisation,[status(esa),new_symbols(skolem,[sK288,sK289,sK290])],[f1047,f1513,f1512])). 1.21/0.96 thf(f1512,plain,( 1.21/0.96 ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true != (in @ X2 @ (setminus @ X0 @ (setminus @ X0 @ X1)))) & ($true = (in @ X2 @ X1)) & ($true = (in @ X2 @ X0))) & ($true = (in @ X1 @ (powerset @ X0)))) => (? [X2 : $i] : (($true != (in @ X2 @ (setminus @ sK288 @ (setminus @ sK288 @ sK289)))) & ($true = (in @ X2 @ sK289)) & ($true = (in @ X2 @ sK288))) & ((in @ sK289 @ (powerset @ sK288)) = $true))), 1.21/0.96 introduced(definition,[],[choice_axiom])). 1.21/0.96 thf(f1513,plain,( 1.21/0.96 ? [X2 : $i] : (($true != (in @ X2 @ (setminus @ sK288 @ (setminus @ sK288 @ sK289)))) & ($true = (in @ X2 @ sK289)) & ($true = (in @ X2 @ sK288))) => (($true != (in @ sK290 @ (setminus @ sK288 @ (setminus @ sK288 @ sK289)))) & ($true = (in @ sK290 @ sK289)) & ($true = (in @ sK290 @ sK288)))), 1.21/0.96 introduced(definition,[],[choice_axiom])). 1.21/0.96 thf(f1047,plain,( 1.21/0.96 (lamProp = $true) & (contrasubsetT3 = $true) & (notequalI1 = $true) & (infuncsetfunc = $true) & (kpairp = $true) & (subsetE = $true) & (lam2p = $true) & (subsetTrans = $true) & (lamp = $true) & (prop2setE = $true) & (contrasubsetT2 = $true) & (contrasubsetT = $true) & (setOfPairsIsBReln = $true) & (singletoninpowunion = $true) & (ex1I2 = $true) & (notdallE = $true) & (setunionsingleton2 = $true) & (sepInPowerset = $true) & (ubforcartprodlem2 = $true) & (binintersectLsub = $true) & (binintersectTELcontra = $true) & (dsetconstr__Cong = $true) & (emptysetsubset = $true) & (funcGraphProp4 = $true) & (emptyE1 = $true) & (binintersectRsub = $true) & (eqbreln = $true) & (setminusILneg = $true) & (inPowerset = $true) & (binintersectTERcontra = $true) & (powerset__Cong = $true) & (funcImageSingleton = $true) & (powersetI = $true) & (contrasubsetT1 = $true) & (cartprodsndin = $true) & (uniqinunit = $true) & (setunionE = $true) & (ex1E1 = $true) & (dpsetconstrEL2 = $true) & (powersetsubset = $true) & (funcinfuncset = $true) & (kpairsurjEq = $true) & (binintersectSubset1 = $true) & (exuEu = $true) & (subsetI2 = $true) & (iffalse = $true) & (exuE3u = $true) & (symdiffIneg1 = $true) & (funcGraphProp1 = $true) & (iffalseProp2 = $true) & (exuI2 = $true) & (eta2 = $true) & (ex1E2 = $true) & (dsetconstrER = $true) & (powersetI1 = $true) & (cartprodfstpairEq = $true) & (sepSubset = $true) & (in__Cong = $true) & (setunionsingleton = $true) & (symdiffI2 = $true) & (funcext2 = $true) & (emptysetAx = $true) & (setminusLsub = $true) & (lam2lamEq = $true) & (setadjoinE = $true) & (binintersectSubset3 = $true) & (ksndsingleton = $true) & (setoftrueEq = $true) & (ubforcartprodlem1 = $true) & (binintersectSubset5 = $true) & (subbreln = $true) & (ifSingleton = $true) & (dsetconstrEL = $true) & (setminusERneg = $true) & (app = $true) & (omega__Cong = $true) & (setbeta = $true) & (funcGraphProp3 = $true) & (powersetAx = $true) & (bs114d = $true) & (emptyInPowerset = $true) & (setminusEL = $true) & (upairset2IR = $true) & (dpsetconstrEL1 = $true) & (powersetT_lem = $true) & (upairsubunion = $true) & (ap2apEq1 = $true) & (kfstsingleton = $true) & (quantDeMorgan3 = $true) & (setadjoin__Cong = $true) & (binintersectI = $true) & (notdexE = $true) & (setunion__Cong = $true) & (subPowSU = $true) & (iftrueProp2 = $true) & (nonemptyImpWitness = $true) & (binunionIL = $true) & (singletonsuniq = $true) & (dpsetconstrER = $true) & (notequalI2 = $true) & (inCongP = $true) & (cartprodpairmemER = $true) & (exuE3e = $true) & (brelnall2 = $true) & (nonemptyI1 = $true) & (dpsetconstrERa = $true) & (dsetconstrI = $true) & (complementT_lem = $true) & (eqinunit = $true) & (binunionE = $true) & (disjointsetsI1 = $true) & (setadjoinIR = $true) & (binunionIR = $true) & (singletonsswitch = $true) & (ap2p = $true) & (beta1 = $true) & (vacuousDall = $true) & (replAx = $true) & (binunionRsub = $true) & (brelnall1 = $true) & (binintersectER = $true) & (setunionI = $true) & (nonemptyE1 = $true) & (iftrue = $true) & (emptysetE = $true) & (notsubsetI = $true) & (emptyI = $true) & (setadjoinSub2 = $true) & (emptyset__Cong = $true) & (setunionsingleton1 = $true) & (binunionLsub = $true) & (wellorderingAx = $true) & (subsetE2 = $true) & (ubforcartprodlem3 = $true) & (setminusSubset1 = $true) & (setadjoinSub = $true) & (powersetTI1 = $true) & (subset2powerset = $true) & (emptysetimpfalse = $true) & (exu__Cong = $true) & (upairequniteq = $true) & (theeq = $true) & (exuE1 = $true) & (setadjoinIL = $true) & (omegaIndAx = $true) & (eta1 = $true) & (descr__Cong = $true) & (upairsetIL = $true) & (dpsetconstrI = $true) & (dpsetconstrSub = $true) & (subsetTI = $true) & (upairsetE = $true) & (omegaSAx = $true) & (setunionE2 = $true) & (exuI3 = $true) & (binintersectSubset4 = $true) & (cartprodmempair = $true) & (symdiffE = $true) & (binunionT_lem = $true) & (exuI1 = $true) & (ap2apEq2 = $true) & (apProp = $true) & (powersetTE1 = $true) & (iftrueProp1 = $true) & (setadjoinOr = $true) & (quantDeMorgan2 = $true) & (theprop = $true) & (complementTE1 = $true) & (funcGraphProp2 = $true) & (setukpairinjL1 = $true) & ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true != (in @ X2 @ (setminus @ X0 @ (setminus @ X0 @ X1)))) & ($true = (in @ X2 @ X1)) & ($true = (in @ X2 @ X0))) & ($true = (in @ X1 @ (powerset @ X0)))) & (setextT = $true) & (binintersectT_lem = $true) & (descrp = $true) & (setminusSubset2 = $true) & (emptyinunitempty = $true) & (noeltsimpempty = $true) & (singletonsubset = $true) & (setukpairinjL2 = $true) & (eqimpsubset2 = $true) & (ex1I = $true) & (setext = $true) & (cartprodpairin = $true) & (symdiffI1 = $true) & (subsetI1 = $true) & (funcext = $true) & (setminusI = $true) & (quantDeMorgan1 = $true) & (setukpairinjR11 = $true) & (setminusELneg = $true) & (setukpairinjL = $true) & (setadjoinAx = $true) & (iffalseProp1 = $true) & (complementTI1 = $true) & (exuE2 = $true) & (beta2 = $true) & (upairinpowunion = $true) & (ifp = $true) & (powersetE = $true) & (powersetE1 = $true) & (setextAx = $true) & (setukpairinjR = $true) & (eqimpsubset1 = $true) & (cartprodmempaircEq = $true) & (secondinupair = $true) & (cartprodpairsurjEq = $true) & (binintersectEL = $true) & (kfstpairEq = $true) & (notinemptyset = $true) & (singletonprop = $true) & (cartprodsndpairEq = $true) & (singletoninpowerset = $true) & (emptyinPowerset = $true) & (upairsetIR = $true) & (cartprodfstin = $true) & (setukpairinjR2 = $true) & (prop2set2propI = $true) & (binunionEcases = $true) & (ksndpairEq = $true) & (setminusIRneg = $true) & (binintersectSubset2 = $true) & (setextsub = $true) & (subsetemptysetimpeq = $true) & (quantDeMorgan4 = $true) & (cartprodpairmemEL = $true) & (setukpairIL = $true) & (nonemptyI = $true) & (setminusER = $true) & (notinsingleton = $true) & (kpairiskpair = $true) & (setminusT_lem = $true) & (foundationAx = $true) & (setukpairinjR12 = $true) & (cartprodmempair1 = $true) & (setunionAx = $true) & (funcextLem = $true) & (symdiffIneg2 = $true) & (setukpairIR = $true) & (prop2setI = $true) & (omega0Ax = $true) & (upairset2E = $true) & (subsetRefl = $true) & (iftrueorfalse = $true) & (setukpairinjR1 = $true)), 1.21/0.96 inference(flattening,[status(thm)],[f1046])). 1.21/0.96 thf(f1046,plain,( 1.21/0.96 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i] : (? [X2 : $i] : ((($true != (in @ X2 @ (setminus @ X0 @ (setminus @ X0 @ X1)))) & ($true = (in @ X2 @ X1))) & ($true = (in @ X2 @ X0))) & ($true = (in @ X1 @ (powerset @ X0)))) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $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)), 1.21/0.96 inference(ennf_transformation,[status(thm)],[f368])). 1.21/0.96 thf(f368,plain,( 1.21/0.96 ~((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) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ! [X0 : $i,X1 : $i] : (($true = (in @ X1 @ (powerset @ X0))) => ! [X2 : $i] : (($true = (in @ X2 @ X0)) => (($true = (in @ X2 @ X1)) => ($true = (in @ X2 @ (setminus @ X0 @ (setminus @ X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.21/0.96 inference(fool_elimination,[status(thm)],[f367])). 1.21/0.96 thf(f367,plain,( 1.21/0.96 ~(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 => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => ! [X0 : $i,X1 : $i] : ((in @ X1 @ (powerset @ X0)) => ! [X2 : $i] : ((in @ X2 @ X0) => ((in @ X2 @ X1) => (in @ X2 @ (setminus @ X0 @ (setminus @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.21/0.96 inference(rectify,[status(thm)],[f249])). 1.21/0.96 thf(f249,negated_conjecture,( 1.21/0.96 ~(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 => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => ! [X3 : $i,X11 : $i] : ((in @ X11 @ (powerset @ X3)) => ! [X1 : $i] : ((in @ X1 @ X3) => ((in @ X1 @ X11) => (in @ X1 @ (setminus @ X3 @ (setminus @ X3 @ X11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.21/0.96 inference(negated_conjecture,[status(cth)],[f248])). 1.21/0.96 thf(f248,conjecture,( 1.21/0.96 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 => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => ! [X3 : $i,X11 : $i] : ((in @ X11 @ (powerset @ X3)) => ! [X1 : $i] : ((in @ X1 @ X3) => ((in @ X1 @ X11) => (in @ X1 @ (setminus @ X3 @ (setminus @ X3 @ X11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1.21/0.96 file('/export/starexec/sandbox/tmp/tmp.UxBX7xBauf/E---3.1_15397.p',doubleComplementI1)). 1.21/0.96 thf(f3968,plain,( 1.21/0.96 ($true != (in @ sK290 @ sK289)) | ~spl772_12), 1.21/0.96 inference(trivial_inequality_removal,[status(thm)],[f3967])). 1.21/0.96 thf(f3967,plain,( 1.21/0.96 ($true != $true) | ($true != (in @ sK290 @ sK289)) | ~spl772_12), 1.21/0.96 inference(forward_demodulation,[status(thm)],[f3962,f2661])). 1.21/0.96 thf(f2661,plain,( 1.21/0.96 (setminusIRneg = $true)), 1.21/0.96 inference(cnf_transformation,[status(thm)],[f1514])). 1.21/0.96 thf(f3962,plain,( 1.21/0.96 (setminusIRneg != $true) | ($true != (in @ sK290 @ sK289)) | ~spl772_12), 1.21/0.96 inference(trivial_inequality_removal,[status(thm)],[f3952])). 1.21/0.96 thf(f3952,plain,( 1.21/0.96 ($true != (in @ sK290 @ sK289)) | ($true != $true) | (setminusIRneg != $true) | ~spl772_12), 1.21/0.96 inference(superposition,[status(thm)],[f3135,f3817])). 1.21/0.96 thf(f3817,plain,( 1.21/0.96 ($true = (in @ sK290 @ (setminus @ sK288 @ sK289))) | ~spl772_12), 1.21/0.96 inference(avatar_component_clause,[status(thm)],[f3815])). 1.21/0.96 thf(f3815,definition,( 1.21/0.96 spl772_12 <=> ($true = (in @ sK290 @ (setminus @ sK288 @ sK289)))), 1.21/0.96 introduced(definition,[new_symbols(naming,[spl772_12])],[avatar_definition])). 1.21/0.96 thf(f3135,plain,( 1.21/0.96 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X1 @ (setminus @ X2 @ X0))) | ($true != (in @ X1 @ X0)) | (setminusIRneg != $true)) )), 1.21/0.96 inference(cnf_transformation,[status(thm)],[f1823])). 1.21/0.96 thf(f1823,plain,( 1.21/0.96 (! [X0 : $i,X1 : $i,X2 : $i] : (($true != (in @ X1 @ X0)) | ($true != (in @ X1 @ (setminus @ X2 @ X0)))) | (setminusIRneg != $true)) & ((setminusIRneg = $true) | (($true = (in @ sK485 @ sK484)) & ($true = (in @ sK485 @ (setminus @ sK486 @ sK484)))))), 1.21/0.96 inference(skolemisation,[status(esa),new_symbols(skolem,[sK484,sK485,sK486])],[f1821,f1822])). 1.21/0.96 thf(f1822,plain,( 1.21/0.96 ? [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ X3) = $true) & ($true = (in @ X4 @ (setminus @ X5 @ X3)))) => (($true = (in @ sK485 @ sK484)) & ($true = (in @ sK485 @ (setminus @ sK486 @ sK484))))), 1.21/0.96 introduced(definition,[],[choice_axiom])). 1.21/0.96 thf(f1821,plain,( 1.21/0.96 (! [X0 : $i,X1 : $i,X2 : $i] : (($true != (in @ X1 @ X0)) | ($true != (in @ X1 @ (setminus @ X2 @ X0)))) | (setminusIRneg != $true)) & ((setminusIRneg = $true) | ? [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ X3) = $true) & ($true = (in @ X4 @ (setminus @ X5 @ X3)))))), 1.21/0.96 inference(rectify,[status(thm)],[f1820])). 1.21/0.96 thf(f1820,plain,( 1.21/0.96 (! [X0 : $i,X1 : $i,X2 : $i] : (($true != (in @ X1 @ X0)) | ($true != (in @ X1 @ (setminus @ X2 @ X0)))) | (setminusIRneg != $true)) & ((setminusIRneg = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X1 @ X0)) & ($true = (in @ X1 @ (setminus @ X2 @ X0)))))), 1.21/0.96 inference(nnf_transformation,[status(thm)],[f989])). 1.21/0.96 thf(f989,plain,( 1.21/0.96 ! [X0 : $i,X1 : $i,X2 : $i] : (($true != (in @ X1 @ X0)) | ($true != (in @ X1 @ (setminus @ X2 @ X0)))) <=> (setminusIRneg = $true)), 1.21/0.96 inference(ennf_transformation,[status(thm)],[f787])). 1.21/0.96 thf(f787,plain,( 1.21/0.96 ! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X1 @ X0)) => ($true != (in @ X1 @ (setminus @ X2 @ X0)))) <=> (setminusIRneg = $true)), 1.21/0.96 inference(flattening,[status(thm)],[f714])). 1.21/0.96 thf(f714,plain,( 1.21/0.96 ! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X1 @ X0)) => ~($true = (in @ X1 @ (setminus @ X2 @ X0)))) <=> (setminusIRneg = $true)), 1.21/0.96 inference(fool_elimination,[status(thm)],[f713])). 1.21/0.96 thf(f713,plain,( 1.21/0.96 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X1 @ X0) => ~(in @ X1 @ (setminus @ X2 @ X0))) = setminusIRneg)), 1.21/0.96 inference(rectify,[status(thm)],[f127])). 1.21/0.96 thf(f127,axiom,( 1.21/0.96 (! [X4 : $i,X1 : $i,X3 : $i] : ((in @ X1 @ X4) => ~(in @ X1 @ (setminus @ X3 @ X4))) = setminusIRneg)), 1.21/0.96 file('/export/starexec/sandbox/tmp/tmp.UxBX7xBauf/E---3.1_15397.p',setminusIRneg)). 1.21/0.96 thf(f3948,plain,( 1.21/0.96 spl772_12), 1.21/0.96 inference(avatar_split_clause,[status(thm)],[f3805,f3815])). 1.21/0.96 thf(f3805,plain,( 1.21/0.96 ($true = (in @ sK290 @ (setminus @ sK288 @ sK289)))), 1.21/0.96 inference(trivial_inequality_removal,[status(thm)],[f3804])). 1.21/0.96 thf(f3804,plain,( 1.21/0.96 ($true != $true) | ($true = (in @ sK290 @ (setminus @ sK288 @ sK289)))), 1.21/0.96 inference(forward_demodulation,[status(thm)],[f3803,f2711])). 1.21/0.96 thf(f2711,plain,( 1.21/0.96 ($true = (in @ sK290 @ sK288))), 1.21/0.96 inference(cnf_transformation,[status(thm)],[f1514])). 1.21/0.96 thf(f3803,plain,( 1.21/0.96 ($true != (in @ sK290 @ sK288)) | ($true = (in @ sK290 @ (setminus @ sK288 @ sK289)))), 1.21/0.96 inference(trivial_inequality_removal,[status(thm)],[f3802])). 1.21/0.96 thf(f3802,plain,( 1.21/0.96 ($true = (in @ sK290 @ (setminus @ sK288 @ sK289))) | ($true != (in @ sK290 @ sK288)) | ($true != $true)), 1.21/0.96 inference(forward_demodulation,[status(thm)],[f3764,f2810])). 1.21/0.96 thf(f2810,plain,( 1.21/0.96 (setminusERneg = $true)), 1.21/0.96 inference(cnf_transformation,[status(thm)],[f1514])). 1.21/0.96 thf(f3764,plain,( 1.21/0.96 (setminusERneg != $true) | ($true != (in @ sK290 @ sK288)) | ($true = (in @ sK290 @ (setminus @ sK288 @ sK289)))), 1.21/0.96 inference(trivial_inequality_removal,[status(thm)],[f3755])). 1.21/0.96 thf(f3755,plain,( 1.21/0.96 ($true = (in @ sK290 @ (setminus @ sK288 @ sK289))) | ($true != (in @ sK290 @ sK288)) | ($true != $true) | (setminusERneg != $true)), 1.21/0.96 inference(superposition,[status(thm)],[f2713,f3238])). 1.21/0.96 thf(f3238,plain,( 1.21/0.96 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true = (in @ X0 @ X2)) | (setminusERneg != $true) | ($true != (in @ X0 @ X1))) )), 1.21/0.96 inference(cnf_transformation,[status(thm)],[f1944])). 1.21/0.96 thf(f1944,plain,( 1.21/0.96 (! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true != (in @ X0 @ X1)) | ($true = (in @ X0 @ X2))) | (setminusERneg != $true)) & ((setminusERneg = $true) | (($true != (in @ sK560 @ (setminus @ sK561 @ sK562))) & ($true = (in @ sK560 @ sK561)) & ($true != (in @ sK560 @ sK562))))), 1.21/0.96 inference(skolemisation,[status(esa),new_symbols(skolem,[sK560,sK561,sK562])],[f1942,f1943])). 1.21/0.96 thf(f1943,plain,( 1.21/0.96 ? [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X3 @ (setminus @ X4 @ X5))) & ($true = (in @ X3 @ X4)) & ($true != (in @ X3 @ X5))) => (($true != (in @ sK560 @ (setminus @ sK561 @ sK562))) & ($true = (in @ sK560 @ sK561)) & ($true != (in @ sK560 @ sK562)))), 1.21/0.96 introduced(definition,[],[choice_axiom])). 1.21/0.96 thf(f1942,plain,( 1.21/0.96 (! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true != (in @ X0 @ X1)) | ($true = (in @ X0 @ X2))) | (setminusERneg != $true)) & ((setminusERneg = $true) | ? [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X3 @ (setminus @ X4 @ X5))) & ($true = (in @ X3 @ X4)) & ($true != (in @ X3 @ X5))))), 1.21/0.96 inference(rectify,[status(thm)],[f1941])). 1.21/0.96 thf(f1941,plain,( 1.21/0.96 (! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true != (in @ X0 @ X1)) | ($true = (in @ X0 @ X2))) | (setminusERneg != $true)) & ((setminusERneg = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (($true != (in @ X0 @ (setminus @ X1 @ X2))) & ($true = (in @ X0 @ X1)) & ($true != (in @ X0 @ X2))))), 1.21/0.96 inference(nnf_transformation,[status(thm)],[f1027])). 1.21/0.96 thf(f1027,plain,( 1.21/0.96 ! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) | ($true != (in @ X0 @ X1)) | ($true = (in @ X0 @ X2))) <=> (setminusERneg = $true)), 1.21/0.96 inference(flattening,[status(thm)],[f1026])). 1.21/0.96 thf(f1026,plain,( 1.21/0.96 ! [X0 : $i,X1 : $i,X2 : $i] : ((($true = (in @ X0 @ X2)) | ($true != (in @ X0 @ X1))) | ($true = (in @ X0 @ (setminus @ X1 @ X2)))) <=> (setminusERneg = $true)), 1.21/0.96 inference(ennf_transformation,[status(thm)],[f762])). 1.21/0.96 thf(f762,plain,( 1.21/0.96 ! [X0 : $i,X1 : $i,X2 : $i] : (($true != (in @ X0 @ (setminus @ X1 @ X2))) => (($true = (in @ X0 @ X1)) => ($true = (in @ X0 @ X2)))) <=> (setminusERneg = $true)), 1.21/0.96 inference(flattening,[status(thm)],[f478])). 1.21/0.96 thf(f478,plain,( 1.21/0.96 (setminusERneg = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (~($true = (in @ X0 @ (setminus @ X1 @ X2))) => (($true = (in @ X0 @ X1)) => ($true = (in @ X0 @ X2))))), 1.21/0.96 inference(fool_elimination,[status(thm)],[f477])). 1.21/0.96 thf(f477,plain,( 1.21/0.96 (setminusERneg = ! [X0 : $i,X1 : $i,X2 : $i] : (~(in @ X0 @ (setminus @ X1 @ X2)) => ((in @ X0 @ X1) => (in @ X0 @ X2))))), 1.21/0.96 inference(rectify,[status(thm)],[f124])). 1.21/0.96 thf(f124,axiom,( 1.21/0.96 (setminusERneg = ! [X1 : $i,X3 : $i,X4 : $i] : (~(in @ X1 @ (setminus @ X3 @ X4)) => ((in @ X1 @ X3) => (in @ X1 @ X4))))), 1.21/0.96 file('/export/starexec/sandbox/tmp/tmp.UxBX7xBauf/E---3.1_15397.p',setminusERneg)). 1.21/0.96 thf(f2713,plain,( 1.21/0.96 ($true != (in @ sK290 @ (setminus @ sK288 @ (setminus @ sK288 @ sK289))))), 1.21/0.96 inference(cnf_transformation,[status(thm)],[f1514])). 1.21/0.96 % SZS output end Proof for E---3.1_15397 1.21/0.96 % (15527)------------------------------ 1.21/0.96 % (15527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.21/0.96 % (15527)Termination reason: Refutation 1.21/0.96 1.21/0.96 % (15527)Memory used [KB]: 11257 1.21/0.96 % (15527)Time elapsed: 0.358 s 1.21/0.96 % (15527)Instructions burned: 574 (million) 1.21/0.96 % (15527)------------------------------ 1.21/0.96 % (15527)------------------------------ 1.21/0.96 % (15504)Success in time 0.557 s 1.21/0.96 EOF