0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n022.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 07:16:24 EDT 2024 0.12/0.33 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.35 Running higher-order theorem proving 0.20/0.37 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.q1VlNzOANC/E---3.1_24535.p -m 16384 -t 180 0.20/0.39 % (24646)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_24535 for (1799ds/27Mi) 0.20/0.39 % (24648)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_24535 for (1799ds/2Mi) 0.20/0.39 % (24647)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_24535 for (1799ds/2Mi) 0.20/0.39 % (24649)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_24535 for (1799ds/275Mi) 0.20/0.39 % (24645)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_24535 for (1799ds/4Mi) 0.20/0.39 % (24644)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_24535 for (1799ds/183Mi) 0.20/0.39 % (24650)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_24535 for (1799ds/18Mi) 0.20/0.39 % (24647)Instruction limit reached! 0.20/0.39 % (24647)------------------------------ 0.20/0.39 % (24647)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.39 % (24647)Termination reason: Unknown 0.20/0.39 % (24648)Instruction limit reached! 0.20/0.39 % (24648)------------------------------ 0.20/0.39 % (24648)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.39 % (24648)Termination reason: Unknown 0.20/0.39 % (24648)Termination phase: shuffling 0.20/0.39 0.20/0.39 % (24648)Memory used [KB]: 1151 0.20/0.39 % (24648)Time elapsed: 0.004 s 0.20/0.39 % (24648)Instructions burned: 3 (million) 0.20/0.39 % (24648)------------------------------ 0.20/0.39 % (24648)------------------------------ 0.20/0.39 % (24647)Termination phase: shuffling 0.20/0.39 0.20/0.39 % (24647)Memory used [KB]: 1151 0.20/0.39 % (24647)Time elapsed: 0.004 s 0.20/0.39 % (24647)Instructions burned: 3 (million) 0.20/0.39 % (24647)------------------------------ 0.20/0.39 % (24647)------------------------------ 0.20/0.39 % (24645)Instruction limit reached! 0.20/0.39 % (24645)------------------------------ 0.20/0.39 % (24645)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.39 % (24645)Termination reason: Unknown 0.20/0.39 % (24645)Termination phase: shuffling 0.20/0.39 0.20/0.39 % (24645)Memory used [KB]: 1151 0.20/0.39 % (24645)Time elapsed: 0.005 s 0.20/0.39 % (24645)Instructions burned: 4 (million) 0.20/0.39 % (24645)------------------------------ 0.20/0.39 % (24645)------------------------------ 0.20/0.40 % (24650)Instruction limit reached! 0.20/0.40 % (24650)------------------------------ 0.20/0.40 % (24650)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.40 % (24650)Termination reason: Unknown 0.20/0.40 % (24650)Termination phase: Preprocessing 3 0.20/0.40 0.20/0.40 % (24650)Memory used [KB]: 1663 0.20/0.40 % (24650)Time elapsed: 0.013 s 0.20/0.40 % (24650)Instructions burned: 18 (million) 0.20/0.40 % (24650)------------------------------ 0.20/0.40 % (24650)------------------------------ 0.20/0.40 % (24646)Instruction limit reached! 0.20/0.40 % (24646)------------------------------ 0.20/0.40 % (24646)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.40 % (24646)Termination reason: Unknown 0.20/0.40 % (24646)Termination phase: Property scanning 0.20/0.40 0.20/0.40 % (24646)Memory used [KB]: 1407 0.20/0.40 % (24646)Time elapsed: 0.016 s 0.20/0.40 % (24646)Instructions burned: 27 (million) 0.20/0.40 % (24646)------------------------------ 0.20/0.40 % (24646)------------------------------ 0.20/0.41 % (24653)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_24535 for (1799ds/15Mi) 0.20/0.41 % (24651)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_24535 for (1799ds/3Mi) 0.20/0.41 % (24652)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_24535 for (1799ds/37Mi) 0.20/0.41 % (24651)Instruction limit reached! 0.20/0.41 % (24651)------------------------------ 0.20/0.41 % (24651)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.41 % (24651)Termination reason: Unknown 0.20/0.41 % (24651)Termination phase: shuffling 0.20/0.41 0.20/0.41 % (24651)Memory used [KB]: 1151 0.20/0.41 % (24651)Time elapsed: 0.004 s 0.20/0.41 % (24651)Instructions burned: 3 (million) 0.20/0.41 % (24651)------------------------------ 0.20/0.41 % (24651)------------------------------ 0.20/0.42 % (24653)Instruction limit reached! 0.20/0.42 % (24653)------------------------------ 0.20/0.42 % (24653)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.42 % (24653)Termination reason: Unknown 0.20/0.42 % (24653)Termination phase: Preprocessing 3 0.20/0.42 0.20/0.42 % (24653)Memory used [KB]: 1663 0.20/0.42 % (24653)Time elapsed: 0.010 s 0.20/0.42 % (24653)Instructions burned: 16 (million) 0.20/0.42 % (24653)------------------------------ 0.20/0.42 % (24653)------------------------------ 0.20/0.42 % (24654)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_24535 for (1799ds/3Mi) 0.20/0.42 % (24654)Instruction limit reached! 0.20/0.42 % (24654)------------------------------ 0.20/0.42 % (24654)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.42 % (24654)Termination reason: Unknown 0.20/0.42 % (24654)Termination phase: shuffling 0.20/0.42 0.20/0.42 % (24654)Memory used [KB]: 1151 0.20/0.42 % (24654)Time elapsed: 0.004 s 0.20/0.42 % (24654)Instructions burned: 4 (million) 0.20/0.42 % (24654)------------------------------ 0.20/0.42 % (24654)------------------------------ 0.20/0.42 % (24655)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_24535 for (1799ds/1041Mi) 0.20/0.43 % (24656)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_24535 for (1799ds/7Mi) 0.20/0.43 % (24652)Instruction limit reached! 0.20/0.43 % (24652)------------------------------ 0.20/0.43 % (24652)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.43 % (24652)Termination reason: Unknown 0.20/0.43 % (24652)Termination phase: Saturation 0.20/0.43 0.20/0.43 % (24652)Memory used [KB]: 5884 0.20/0.43 % (24652)Time elapsed: 0.020 s 0.20/0.43 % (24652)Instructions burned: 37 (million) 0.20/0.43 % (24652)------------------------------ 0.20/0.43 % (24652)------------------------------ 0.20/0.43 % (24656)Instruction limit reached! 0.20/0.43 % (24656)------------------------------ 0.20/0.43 % (24656)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.43 % (24656)Termination reason: Unknown 0.20/0.43 % (24656)Termination phase: shuffling 0.20/0.43 0.20/0.43 % (24656)Memory used [KB]: 1279 0.20/0.43 % (24656)Time elapsed: 0.006 s 0.20/0.43 % (24656)Instructions burned: 7 (million) 0.20/0.43 % (24656)------------------------------ 0.20/0.43 % (24656)------------------------------ 0.20/0.43 % (24657)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_24535 for (1799ds/16Mi) 0.20/0.44 % (24658)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_24535 for (1799ds/3Mi) 0.20/0.44 % (24658)Instruction limit reached! 0.20/0.44 % (24658)------------------------------ 0.20/0.44 % (24658)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.44 % (24658)Termination reason: Unknown 0.20/0.44 % (24658)Termination phase: shuffling 0.20/0.44 0.20/0.44 % (24658)Memory used [KB]: 1151 0.20/0.44 % (24658)Time elapsed: 0.004 s 0.20/0.44 % (24658)Instructions burned: 3 (million) 0.20/0.44 % (24658)------------------------------ 0.20/0.44 % (24658)------------------------------ 0.21/0.44 % (24657)Instruction limit reached! 0.21/0.44 % (24657)------------------------------ 0.21/0.44 % (24657)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.44 % (24657)Termination reason: Unknown 0.21/0.44 % (24657)Termination phase: Preprocessing 2 0.21/0.44 0.21/0.44 % (24657)Memory used [KB]: 1279 0.21/0.44 % (24657)Time elapsed: 0.010 s 0.21/0.44 % (24657)Instructions burned: 16 (million) 0.21/0.44 % (24657)------------------------------ 0.21/0.44 % (24657)------------------------------ 0.21/0.44 % (24659)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_24535 for (1799ds/3Mi) 0.21/0.44 % (24659)Instruction limit reached! 0.21/0.44 % (24659)------------------------------ 0.21/0.44 % (24659)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.44 % (24659)Termination reason: Unknown 0.21/0.44 % (24659)Termination phase: shuffling 0.21/0.44 0.21/0.44 % (24659)Memory used [KB]: 1151 0.21/0.44 % (24659)Time elapsed: 0.004 s 0.21/0.44 % (24659)Instructions burned: 4 (million) 0.21/0.44 % (24659)------------------------------ 0.21/0.44 % (24659)------------------------------ 0.21/0.45 % (24660)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_24535 for (1799ds/7Mi) 0.21/0.45 % (24660)Instruction limit reached! 0.21/0.45 % (24660)------------------------------ 0.21/0.45 % (24660)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.45 % (24660)Termination reason: Unknown 0.21/0.45 % (24660)Termination phase: shuffling 0.21/0.45 0.21/0.45 % (24660)Memory used [KB]: 1279 0.21/0.45 % (24660)Time elapsed: 0.006 s 0.21/0.45 % (24660)Instructions burned: 7 (million) 0.21/0.45 % (24660)------------------------------ 0.21/0.45 % (24660)------------------------------ 0.21/0.45 % (24661)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_24535 for (1799ds/3Mi) 0.21/0.46 % (24661)Instruction limit reached! 0.21/0.46 % (24661)------------------------------ 0.21/0.46 % (24661)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.46 % (24661)Termination reason: Unknown 0.21/0.46 % (24661)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (24661)Memory used [KB]: 1151 0.21/0.46 % (24661)Time elapsed: 0.004 s 0.21/0.46 % (24661)Instructions burned: 4 (million) 0.21/0.46 % (24661)------------------------------ 0.21/0.46 % (24661)------------------------------ 0.21/0.46 % (24662)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_24535 for (1799ds/4Mi) 0.21/0.46 % (24662)Instruction limit reached! 0.21/0.46 % (24662)------------------------------ 0.21/0.46 % (24662)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.46 % (24662)Termination reason: Unknown 0.21/0.46 % (24662)Termination phase: shuffling 0.21/0.46 0.21/0.46 % (24662)Memory used [KB]: 1151 0.21/0.46 % (24662)Time elapsed: 0.004 s 0.21/0.46 % (24662)Instructions burned: 4 (million) 0.21/0.46 % (24662)------------------------------ 0.21/0.46 % (24662)------------------------------ 0.21/0.46 % (24644)First to succeed. 0.21/0.46 % (24663)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_24535 for (1799ds/18Mi) 0.21/0.47 % (24644)Refutation found. Thanks to Tanya! 0.21/0.47 % SZS status Theorem for E---3.1_24535 0.21/0.47 % SZS output start Proof for E---3.1_24535 0.21/0.47 thf(func_def_0, type, in: $i > $i > $o). 0.21/0.47 thf(func_def_1, type, exu: ($i > $o) > $o). 0.21/0.47 thf(func_def_6, type, setadjoin: $i > $i > $i). 0.21/0.47 thf(func_def_8, type, powerset: $i > $i). 0.21/0.47 thf(func_def_10, type, setunion: $i > $i). 0.21/0.47 thf(func_def_19, type, descr: ($i > $o) > $i). 0.21/0.47 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 0.21/0.47 thf(func_def_26, type, prop2set: $o > $i). 0.21/0.47 thf(func_def_36, type, nonempty: $i > $o). 0.21/0.47 thf(func_def_69, type, set2prop: $i > $o). 0.21/0.47 thf(func_def_95, type, sK0: $i > $o). 0.21/0.47 thf(func_def_96, type, sK1: $i > $o). 0.21/0.47 thf(func_def_98, type, sK3: ($i > $o) > $i). 0.21/0.47 thf(func_def_99, type, sK4: ($i > $o) > $i). 0.21/0.47 thf(func_def_100, type, sK5: ($i > $o) > $i). 0.21/0.47 thf(func_def_101, type, sK6: ($i > $o) > $i). 0.21/0.47 thf(func_def_102, type, sK7: $i > ($i > $i > $o) > $i). 0.21/0.47 thf(func_def_103, type, sK8: $i > ($i > $i > $o) > $i). 0.21/0.47 thf(func_def_104, type, sK9: $i > $i > ($i > $i > $o) > $i). 0.21/0.47 thf(func_def_105, type, sK10: $i > $i > ($i > $i > $o) > $i). 0.21/0.47 thf(func_def_106, type, sK11: $i > $i > ($i > $i > $o) > $i). 0.21/0.47 thf(func_def_107, type, sK12: $i > $i > ($i > $i > $o) > $i). 0.21/0.47 thf(func_def_108, type, sK13: $i > $i > ($i > $i > $o) > $i). 0.21/0.47 thf(func_def_109, type, sK14: $o > $i > $i > $i). 0.21/0.47 thf(func_def_110, type, sK15: ($i > $o) > $i). 0.21/0.47 thf(func_def_111, type, sK16: ($i > $o) > $i > $i). 0.21/0.47 thf(func_def_112, type, sK17: $i > $i). 0.21/0.47 thf(func_def_113, type, sK18: ($i > $o) > $i > $i). 0.21/0.47 thf(func_def_114, type, sK19: $i > $i). 0.21/0.47 thf(func_def_115, type, sK20: $i > $i > $i). 0.21/0.47 thf(func_def_116, type, sK21: $i > $i > $i). 0.21/0.47 thf(func_def_117, type, sK22: ($i > $o) > $i > $i). 0.21/0.47 thf(func_def_118, type, sK23: $i > $i). 0.21/0.47 thf(func_def_119, type, sK24: $i > $i). 0.21/0.47 thf(func_def_122, type, sK27: $i > $i). 0.21/0.47 thf(func_def_123, type, sK28: ($i > $o) > $i > $i). 0.21/0.47 thf(func_def_124, type, sK29: ($i > $o) > $i > $i). 0.21/0.47 thf(func_def_125, type, sK30: $i > $i). 0.21/0.47 thf(func_def_126, type, sK31: $i > $i). 0.21/0.47 thf(func_def_127, type, sK32: ($i > $o) > $i > $i). 0.21/0.47 thf(func_def_128, type, sK33: $i > $i > $i). 0.21/0.47 thf(func_def_129, type, sK34: $i > $i > $i). 0.21/0.47 thf(func_def_130, type, sK35: ($i > $o) > $i). 0.21/0.47 thf(func_def_131, type, sK36: ($i > $o) > $i > $i). 0.21/0.47 thf(func_def_132, type, sK37: $i > $i > $i). 0.21/0.47 thf(func_def_133, type, sK38: ($i > $o) > $i > $i). 0.21/0.47 thf(func_def_134, type, sK39: $i > $i). 0.21/0.47 thf(func_def_135, type, sK40: ($i > $o) > $i > $i). 0.21/0.47 thf(func_def_136, type, sK41: ($i > $o) > $i). 0.21/0.47 thf(func_def_137, type, sK42: ($i > $o) > $i > $i). 0.21/0.47 thf(func_def_138, type, sK43: $i > $i > $i). 0.21/0.47 thf(func_def_139, type, sK44: $i > $i). 0.21/0.47 thf(func_def_140, type, sK45: $i > $i > $i). 0.21/0.47 thf(func_def_141, type, sK46: $i > $i > $i). 0.21/0.47 thf(func_def_142, type, sK47: $i > $i > $i). 0.21/0.47 thf(func_def_143, type, sK48: $i > $i > $i). 0.21/0.47 thf(func_def_144, type, sK49: $i > $i > $i). 0.21/0.47 thf(func_def_145, type, sK50: $i > $i > $i > $i). 0.21/0.47 thf(func_def_146, type, sK51: ($i > $o) > $i > $i). 0.21/0.47 thf(f1660,plain,( 0.21/0.47 $false), 0.21/0.47 inference(avatar_sat_refutation,[],[f1257,f1265,f1266,f1273,f1277,f1281,f1282,f1376,f1447,f1520,f1614,f1658])). 0.21/0.47 thf(f1658,plain,( 0.21/0.47 ~spl2_1 | ~spl2_3 | ~spl2_5 | ~spl2_8), 0.21/0.47 inference(avatar_contradiction_clause,[],[f1657])). 0.21/0.47 thf(f1657,plain,( 0.21/0.47 $false | (~spl2_1 | ~spl2_3 | ~spl2_5 | ~spl2_8)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1648])). 0.21/0.47 thf(f1648,plain,( 0.21/0.47 ($true = $false) | (~spl2_1 | ~spl2_3 | ~spl2_5 | ~spl2_8)), 0.21/0.47 inference(superposition,[],[f1647,f1252])). 0.21/0.47 thf(f1252,plain,( 0.21/0.47 ($true = (sK0 @ sK26)) | ~spl2_1), 0.21/0.47 inference(avatar_component_clause,[],[f1250])). 0.21/0.47 thf(f1250,plain,( 0.21/0.47 spl2_1 <=> ($true = (sK0 @ sK26))), 0.21/0.47 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])). 0.21/0.47 thf(f1647,plain,( 0.21/0.47 ($false = (sK0 @ sK26)) | (~spl2_1 | ~spl2_3 | ~spl2_5 | ~spl2_8)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1646])). 0.21/0.47 thf(f1646,plain,( 0.21/0.47 ($false = (sK0 @ sK26)) | (sK26 != sK26) | (~spl2_1 | ~spl2_3 | ~spl2_5 | ~spl2_8)), 0.21/0.47 inference(superposition,[],[f1643,f1532])). 0.21/0.47 thf(f1532,plain,( 0.21/0.47 ( ! [X0 : $i] : ((sK26 = (sK23 @ X0)) | ($false = (sK0 @ X0))) ) | (~spl2_3 | ~spl2_8)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1526])). 0.21/0.47 thf(f1526,plain,( 0.21/0.47 ( ! [X0 : $i] : (($false = (sK0 @ X0)) | (sK26 = (sK23 @ X0)) | ($true = $false)) ) | (~spl2_3 | ~spl2_8)), 0.21/0.47 inference(superposition,[],[f1280,f1260])). 0.21/0.47 thf(f1260,plain,( 0.21/0.47 ( ! [X1 : $i] : (((sK0 @ X1) = $false) | (sK26 = X1)) ) | ~spl2_3), 0.21/0.47 inference(avatar_component_clause,[],[f1259])). 0.21/0.47 thf(f1259,plain,( 0.21/0.47 spl2_3 <=> ! [X1] : (((sK0 @ X1) = $false) | (sK26 = X1))), 0.21/0.47 introduced(avatar_definition,[new_symbols(naming,[spl2_3])])). 0.21/0.47 thf(f1280,plain,( 0.21/0.47 ( ! [X2 : $i] : (($true = (sK0 @ (sK23 @ X2))) | ($false = (sK0 @ X2))) ) | ~spl2_8), 0.21/0.47 inference(avatar_component_clause,[],[f1279])). 0.21/0.47 thf(f1279,plain,( 0.21/0.47 spl2_8 <=> ! [X2] : (($true = (sK0 @ (sK23 @ X2))) | ($false = (sK0 @ X2)))), 0.21/0.47 introduced(avatar_definition,[new_symbols(naming,[spl2_8])])). 0.21/0.47 thf(f1643,plain,( 0.21/0.47 ((sK23 @ sK26) != sK26) | (~spl2_1 | ~spl2_5)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1638])). 0.21/0.47 thf(f1638,plain,( 0.21/0.47 ((sK23 @ sK26) != sK26) | ($true = $false) | (~spl2_1 | ~spl2_5)), 0.21/0.47 inference(superposition,[],[f1252,f1269])). 0.21/0.47 thf(f1269,plain,( 0.21/0.47 ( ! [X2 : $i] : (($false = (sK0 @ X2)) | ((sK23 @ X2) != X2)) ) | ~spl2_5), 0.21/0.47 inference(avatar_component_clause,[],[f1268])). 0.21/0.47 thf(f1268,plain,( 0.21/0.47 spl2_5 <=> ! [X2] : (($false = (sK0 @ X2)) | ((sK23 @ X2) != X2))), 0.21/0.47 introduced(avatar_definition,[new_symbols(naming,[spl2_5])])). 0.21/0.47 thf(f1614,plain,( 0.21/0.47 ~spl2_1 | ~spl2_3 | ~spl2_6 | ~spl2_7), 0.21/0.47 inference(avatar_contradiction_clause,[],[f1613])). 0.21/0.47 thf(f1613,plain,( 0.21/0.47 $false | (~spl2_1 | ~spl2_3 | ~spl2_6 | ~spl2_7)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1607])). 0.21/0.47 thf(f1607,plain,( 0.21/0.47 ($true = $false) | (~spl2_1 | ~spl2_3 | ~spl2_6 | ~spl2_7)), 0.21/0.47 inference(superposition,[],[f1252,f1592])). 0.21/0.47 thf(f1592,plain,( 0.21/0.47 ($false = (sK0 @ sK26)) | (~spl2_1 | ~spl2_3 | ~spl2_6 | ~spl2_7)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1589])). 0.21/0.47 thf(f1589,plain,( 0.21/0.47 ($true = $false) | ($false = (sK0 @ sK26)) | (~spl2_1 | ~spl2_3 | ~spl2_6 | ~spl2_7)), 0.21/0.47 inference(superposition,[],[f675,f1573])). 0.21/0.47 thf(f1573,plain,( 0.21/0.47 ($false = (sK1 @ sK26)) | (~spl2_1 | ~spl2_3 | ~spl2_6 | ~spl2_7)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1572])). 0.21/0.47 thf(f1572,plain,( 0.21/0.47 ($false = (sK1 @ sK26)) | (sK26 != sK26) | (~spl2_1 | ~spl2_3 | ~spl2_6 | ~spl2_7)), 0.21/0.47 inference(superposition,[],[f1567,f1543])). 0.21/0.47 thf(f1543,plain,( 0.21/0.47 ( ! [X0 : $i] : ((sK26 = (sK24 @ X0)) | ($false = (sK1 @ X0))) ) | (~spl2_3 | ~spl2_7)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1533])). 0.21/0.47 thf(f1533,plain,( 0.21/0.47 ( ! [X0 : $i] : ((sK26 = (sK24 @ X0)) | ($true = $false) | ($false = (sK1 @ X0))) ) | (~spl2_3 | ~spl2_7)), 0.21/0.47 inference(superposition,[],[f1530,f1276])). 0.21/0.47 thf(f1276,plain,( 0.21/0.47 ( ! [X1 : $i] : (($true = (sK1 @ (sK24 @ X1))) | ((sK1 @ X1) = $false)) ) | ~spl2_7), 0.21/0.47 inference(avatar_component_clause,[],[f1275])). 0.21/0.47 thf(f1275,plain,( 0.21/0.47 spl2_7 <=> ! [X1] : (($true = (sK1 @ (sK24 @ X1))) | ((sK1 @ X1) = $false))), 0.21/0.47 introduced(avatar_definition,[new_symbols(naming,[spl2_7])])). 0.21/0.47 thf(f1530,plain,( 0.21/0.47 ( ! [X0 : $i] : (($false = (sK1 @ X0)) | (sK26 = X0)) ) | ~spl2_3), 0.21/0.47 inference(trivial_inequality_removal,[],[f1521])). 0.21/0.47 thf(f1521,plain,( 0.21/0.47 ( ! [X0 : $i] : (($false = (sK1 @ X0)) | (sK26 = X0) | ($true = $false)) ) | ~spl2_3), 0.21/0.47 inference(superposition,[],[f1260,f674])). 0.21/0.47 thf(f674,plain,( 0.21/0.47 ( ! [X3 : $i] : (($true = (sK0 @ X3)) | ($false = (sK1 @ X3))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f413])). 0.21/0.47 thf(f413,plain,( 0.21/0.47 ( ! [X3 : $i] : (((sK0 @ X3) = (sK1 @ X3))) )), 0.21/0.47 inference(equality_resolution,[],[f261])). 0.21/0.47 thf(f261,plain,( 0.21/0.47 ( ! [X2 : $i,X3 : $i] : (((sK1 @ X3) = (sK0 @ X2)) | (X2 != X3)) )), 0.21/0.47 inference(cnf_transformation,[],[f209])). 0.21/0.47 thf(f209,plain,( 0.21/0.47 (emptyI = $true) & (foundationAx = $true) & (quantDeMorgan3 = $true) & (powersetE = $true) & (vacuousDall = $true) & (uniqinunit = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (upairsetE = $true) & (eqinunit = $true) & (omegaSAx = $true) & (setext = $true) & (exuI2 = $true) & (powersetAx = $true) & (emptysetE = $true) & (emptysetAx = $true) & (((exu @ (^[Y0 : $i]: (sK0 @ Y0))) != (exu @ (^[Y0 : $i]: (sK1 @ Y0)))) & ! [X2,X3] : (((sK1 @ X3) = (sK0 @ X2)) | (X2 != X3))) & (prop2setI = $true) & (omega0Ax = $true) & (setoftrueEq = $true) & (emptyE1 = $true) & (nonemptyE1 = $true) & (dsetconstrI = $true) & (powersetI = $true) & (singletonsswitch = $true) & (noeltsimpempty = $true) & (exuI3 = $true) & (notdexE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (quantDeMorgan1 = $true) & (setadjoinAx = $true) & (prop2set2propI = $true) & (omegaIndAx = $true) & (wellorderingAx = $true) & (setbeta = $true) & (nonemptyImpWitness = $true) & (prop2setE = $true) & (subPowSU = $true) & (dsetconstrEL = $true) & (setadjoinIL = $true) & (upairsetIL = $true) & (dsetconstrER = $true) & (setunionI = $true) & (exuE3u = $true) & (emptyinPowerset = $true) & (nonemptyI1 = $true) & (exuE3e = $true) & (inCongP = $true) & (notdallE = $true) & (emptyInPowerset = $true) & (nonemptyI = $true) & (in__Cong = $true) & (notinsingleton = $true) & (replAx = $true) & (setadjoinE = $true) & (upairsetIR = $true) & (setextAx = $true) & (descrp = $true) & (exuI1 = $true) & (exuE1 = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan2 = $true) & (exuE2 = $true) & (setadjoinOr = $true) & (setunionAx = $true) & (setunionE = $true)), 0.21/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f207,f208])). 0.21/0.47 thf(f208,plain,( 0.21/0.47 ? [X0 : $i > $o,X1 : $i > $o] : (((exu @ (^[Y0 : $i]: (X1 @ Y0))) != (exu @ (^[Y0 : $i]: (X0 @ Y0)))) & ! [X2,X3] : (((X0 @ X2) = (X1 @ X3)) | (X2 != X3))) => (((exu @ (^[Y0 : $i]: (sK0 @ Y0))) != (exu @ (^[Y0 : $i]: (sK1 @ Y0)))) & ! [X3,X2] : (((sK1 @ X3) = (sK0 @ X2)) | (X2 != X3)))), 0.21/0.47 introduced(choice_axiom,[])). 0.21/0.47 thf(f207,plain,( 0.21/0.47 (emptyI = $true) & (foundationAx = $true) & (quantDeMorgan3 = $true) & (powersetE = $true) & (vacuousDall = $true) & (uniqinunit = $true) & (notinemptyset = $true) & (emptysetimpfalse = $true) & (upairsetE = $true) & (eqinunit = $true) & (omegaSAx = $true) & (setext = $true) & (exuI2 = $true) & (powersetAx = $true) & (emptysetE = $true) & (emptysetAx = $true) & ? [X0 : $i > $o,X1 : $i > $o] : (((exu @ (^[Y0 : $i]: (X1 @ Y0))) != (exu @ (^[Y0 : $i]: (X0 @ Y0)))) & ! [X2,X3] : (((X0 @ X2) = (X1 @ X3)) | (X2 != X3))) & (prop2setI = $true) & (omega0Ax = $true) & (setoftrueEq = $true) & (emptyE1 = $true) & (nonemptyE1 = $true) & (dsetconstrI = $true) & (powersetI = $true) & (singletonsswitch = $true) & (noeltsimpempty = $true) & (exuI3 = $true) & (notdexE = $true) & (setadjoinIR = $true) & (emptyinunitempty = $true) & (quantDeMorgan1 = $true) & (setadjoinAx = $true) & (prop2set2propI = $true) & (omegaIndAx = $true) & (wellorderingAx = $true) & (setbeta = $true) & (nonemptyImpWitness = $true) & (prop2setE = $true) & (subPowSU = $true) & (dsetconstrEL = $true) & (setadjoinIL = $true) & (upairsetIL = $true) & (dsetconstrER = $true) & (setunionI = $true) & (exuE3u = $true) & (emptyinPowerset = $true) & (nonemptyI1 = $true) & (exuE3e = $true) & (inCongP = $true) & (notdallE = $true) & (emptyInPowerset = $true) & (nonemptyI = $true) & (in__Cong = $true) & (notinsingleton = $true) & (replAx = $true) & (setadjoinE = $true) & (upairsetIR = $true) & (setextAx = $true) & (descrp = $true) & (exuI1 = $true) & (exuE1 = $true) & (quantDeMorgan4 = $true) & (quantDeMorgan2 = $true) & (exuE2 = $true) & (setadjoinOr = $true) & (setunionAx = $true) & (setunionE = $true)), 0.21/0.47 inference(flattening,[],[f206])). 0.21/0.47 thf(f206,plain,( 0.21/0.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i > $o,X1 : $i > $o] : (((exu @ (^[Y0 : $i]: (X1 @ Y0))) != (exu @ (^[Y0 : $i]: (X0 @ Y0)))) & ! [X2,X3] : (((X0 @ X2) = (X1 @ X3)) | (X2 != X3))) & (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)), 0.21/0.47 inference(ennf_transformation,[],[f203])). 0.21/0.47 thf(f203,plain,( 0.21/0.47 ~((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) => ! [X0 : $i > $o,X1 : $i > $o] : (! [X2,X3] : ((X2 = X3) => ((X0 @ X2) = (X1 @ X3))) => ((exu @ (^[Y0 : $i]: (X1 @ Y0))) = (exu @ (^[Y0 : $i]: (X0 @ Y0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.21/0.47 inference(fool_elimination,[],[f202])). 0.21/0.47 thf(f202,plain,( 0.21/0.47 ~(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 => ! [X0 : $i > $o,X1 : $i > $o] : (! [X2,X3] : ((X2 = X3) => ((X0 @ X2) <=> (X1 @ X3))) => ((exu @ (^[X4 : $i] : (X1 @ X4))) <=> (exu @ (^[X5 : $i] : (X0 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.21/0.47 inference(rectify,[],[f70])). 0.21/0.47 thf(f70,negated_conjecture,( 0.21/0.47 ~(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 => ! [X0 : $i > $o,X9 : $i > $o] : (! [X1,X2] : ((X1 = X2) => ((X0 @ X1) <=> (X9 @ X2))) => ((exu @ (^[X1 : $i] : (X9 @ X1))) <=> (exu @ (^[X1 : $i] : (X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.21/0.47 inference(negated_conjecture,[],[f69])). 0.21/0.47 thf(f69,conjecture,( 0.21/0.47 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 => ! [X0 : $i > $o,X9 : $i > $o] : (! [X1,X2] : ((X1 = X2) => ((X0 @ X1) <=> (X9 @ X2))) => ((exu @ (^[X1 : $i] : (X9 @ X1))) <=> (exu @ (^[X1 : $i] : (X0 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.21/0.47 file('/export/starexec/sandbox/tmp/tmp.q1VlNzOANC/E---3.1_24535.p',exu__Cong)). 0.21/0.47 thf(f1567,plain,( 0.21/0.47 ((sK24 @ sK26) != sK26) | (~spl2_1 | ~spl2_6)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1559])). 0.21/0.47 thf(f1559,plain,( 0.21/0.47 ((sK24 @ sK26) != sK26) | ($true = $false) | (~spl2_1 | ~spl2_6)), 0.21/0.47 inference(superposition,[],[f1553,f1252])). 0.21/0.47 thf(f1553,plain,( 0.21/0.47 ( ! [X0 : $i] : (($false = (sK0 @ X0)) | ((sK24 @ X0) != X0)) ) | ~spl2_6), 0.21/0.47 inference(trivial_inequality_removal,[],[f1545])). 0.21/0.47 thf(f1545,plain,( 0.21/0.47 ( ! [X0 : $i] : (($true = $false) | ($false = (sK0 @ X0)) | ((sK24 @ X0) != X0)) ) | ~spl2_6), 0.21/0.47 inference(superposition,[],[f1272,f675])). 0.21/0.47 thf(f1272,plain,( 0.21/0.47 ( ! [X1 : $i] : (((sK1 @ X1) = $false) | ((sK24 @ X1) != X1)) ) | ~spl2_6), 0.21/0.47 inference(avatar_component_clause,[],[f1271])). 0.21/0.47 thf(f1271,plain,( 0.21/0.47 spl2_6 <=> ! [X1] : (((sK1 @ X1) = $false) | ((sK24 @ X1) != X1))), 0.21/0.47 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])). 0.21/0.47 thf(f675,plain,( 0.21/0.47 ( ! [X3 : $i] : (($true = (sK1 @ X3)) | ((sK0 @ X3) = $false)) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f413])). 0.21/0.47 thf(f1520,plain,( 0.21/0.47 ~spl2_1 | spl2_2 | ~spl2_4), 0.21/0.47 inference(avatar_contradiction_clause,[],[f1519])). 0.21/0.47 thf(f1519,plain,( 0.21/0.47 $false | (~spl2_1 | spl2_2 | ~spl2_4)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1509])). 0.21/0.47 thf(f1509,plain,( 0.21/0.47 ($true = $false) | (~spl2_1 | spl2_2 | ~spl2_4)), 0.21/0.47 inference(superposition,[],[f1476,f1468])). 0.21/0.47 thf(f1468,plain,( 0.21/0.47 ($true = (sK0 @ sK25)) | (~spl2_1 | ~spl2_4)), 0.21/0.47 inference(superposition,[],[f1252,f1467])). 0.21/0.47 thf(f1467,plain,( 0.21/0.47 (sK26 = sK25) | (~spl2_1 | ~spl2_4)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1459])). 0.21/0.47 thf(f1459,plain,( 0.21/0.47 (sK26 = sK25) | ($true = $false) | (~spl2_1 | ~spl2_4)), 0.21/0.47 inference(superposition,[],[f1318,f1252])). 0.21/0.47 thf(f1318,plain,( 0.21/0.47 ( ! [X0 : $i] : (($false = (sK0 @ X0)) | (sK25 = X0)) ) | ~spl2_4), 0.21/0.47 inference(trivial_inequality_removal,[],[f1316])). 0.21/0.47 thf(f1316,plain,( 0.21/0.47 ( ! [X0 : $i] : (($true = $false) | (sK25 = X0) | ($false = (sK0 @ X0))) ) | ~spl2_4), 0.21/0.47 inference(superposition,[],[f1264,f675])). 0.21/0.47 thf(f1264,plain,( 0.21/0.47 ( ! [X1 : $i] : (((sK1 @ X1) = $false) | (sK25 = X1)) ) | ~spl2_4), 0.21/0.47 inference(avatar_component_clause,[],[f1263])). 0.21/0.47 thf(f1263,plain,( 0.21/0.47 spl2_4 <=> ! [X1] : ((sK25 = X1) | ((sK1 @ X1) = $false))), 0.21/0.47 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])). 0.21/0.47 thf(f1476,plain,( 0.21/0.47 ($false = (sK0 @ sK25)) | spl2_2), 0.21/0.47 inference(trivial_inequality_removal,[],[f1472])). 0.21/0.47 thf(f1472,plain,( 0.21/0.47 ($false = (sK0 @ sK25)) | ($true != $true) | spl2_2), 0.21/0.47 inference(superposition,[],[f1255,f675])). 0.21/0.47 thf(f1255,plain,( 0.21/0.47 ($true != (sK1 @ sK25)) | spl2_2), 0.21/0.47 inference(avatar_component_clause,[],[f1254])). 0.21/0.47 thf(f1254,plain,( 0.21/0.47 spl2_2 <=> ($true = (sK1 @ sK25))), 0.21/0.47 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])). 0.21/0.47 thf(f1447,plain,( 0.21/0.47 ~spl2_2 | ~spl2_4 | ~spl2_5 | ~spl2_8), 0.21/0.47 inference(avatar_contradiction_clause,[],[f1446])). 0.21/0.47 thf(f1446,plain,( 0.21/0.47 $false | (~spl2_2 | ~spl2_4 | ~spl2_5 | ~spl2_8)), 0.21/0.47 inference(subsumption_resolution,[],[f1438,f1401])). 0.21/0.47 thf(f1401,plain,( 0.21/0.47 (sK25 != (sK23 @ sK25)) | (~spl2_2 | ~spl2_5)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1388])). 0.21/0.47 thf(f1388,plain,( 0.21/0.47 ($true = $false) | (sK25 != (sK23 @ sK25)) | (~spl2_2 | ~spl2_5)), 0.21/0.47 inference(superposition,[],[f1386,f1256])). 0.21/0.47 thf(f1256,plain,( 0.21/0.47 ($true = (sK1 @ sK25)) | ~spl2_2), 0.21/0.47 inference(avatar_component_clause,[],[f1254])). 0.21/0.47 thf(f1386,plain,( 0.21/0.47 ( ! [X0 : $i] : (($false = (sK1 @ X0)) | ((sK23 @ X0) != X0)) ) | ~spl2_5), 0.21/0.47 inference(trivial_inequality_removal,[],[f1382])). 0.21/0.47 thf(f1382,plain,( 0.21/0.47 ( ! [X0 : $i] : (($false = (sK1 @ X0)) | ((sK23 @ X0) != X0) | ($true = $false)) ) | ~spl2_5), 0.21/0.47 inference(superposition,[],[f1269,f674])). 0.21/0.47 thf(f1438,plain,( 0.21/0.47 (sK25 = (sK23 @ sK25)) | (~spl2_2 | ~spl2_4 | ~spl2_8)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1430])). 0.21/0.47 thf(f1430,plain,( 0.21/0.47 (sK25 = (sK23 @ sK25)) | ($true = $false) | (~spl2_2 | ~spl2_4 | ~spl2_8)), 0.21/0.47 inference(superposition,[],[f1429,f1256])). 0.21/0.47 thf(f1429,plain,( 0.21/0.47 ( ! [X0 : $i] : (($false = (sK1 @ X0)) | ((sK23 @ X0) = sK25)) ) | (~spl2_4 | ~spl2_8)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1420])). 0.21/0.47 thf(f1420,plain,( 0.21/0.47 ( ! [X0 : $i] : (($true = $false) | ($false = (sK1 @ X0)) | ((sK23 @ X0) = sK25)) ) | (~spl2_4 | ~spl2_8)), 0.21/0.47 inference(superposition,[],[f1419,f674])). 0.21/0.47 thf(f1419,plain,( 0.21/0.47 ( ! [X0 : $i] : (($false = (sK0 @ X0)) | ((sK23 @ X0) = sK25)) ) | (~spl2_4 | ~spl2_8)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1410])). 0.21/0.47 thf(f1410,plain,( 0.21/0.47 ( ! [X0 : $i] : (($false = (sK0 @ X0)) | ($true = $false) | ((sK23 @ X0) = sK25)) ) | (~spl2_4 | ~spl2_8)), 0.21/0.47 inference(superposition,[],[f1280,f1318])). 0.21/0.47 thf(f1376,plain,( 0.21/0.47 ~spl2_2 | ~spl2_4 | ~spl2_6 | ~spl2_7), 0.21/0.47 inference(avatar_contradiction_clause,[],[f1375])). 0.21/0.47 thf(f1375,plain,( 0.21/0.47 $false | (~spl2_2 | ~spl2_4 | ~spl2_6 | ~spl2_7)), 0.21/0.47 inference(subsumption_resolution,[],[f1367,f1338])). 0.21/0.47 thf(f1338,plain,( 0.21/0.47 (sK25 != (sK24 @ sK25)) | (~spl2_2 | ~spl2_6)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1334])). 0.21/0.47 thf(f1334,plain,( 0.21/0.47 (sK25 != (sK24 @ sK25)) | ($true = $false) | (~spl2_2 | ~spl2_6)), 0.21/0.47 inference(superposition,[],[f1256,f1272])). 0.21/0.47 thf(f1367,plain,( 0.21/0.47 (sK25 = (sK24 @ sK25)) | (~spl2_2 | ~spl2_4 | ~spl2_7)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1359])). 0.21/0.47 thf(f1359,plain,( 0.21/0.47 ($true = $false) | (sK25 = (sK24 @ sK25)) | (~spl2_2 | ~spl2_4 | ~spl2_7)), 0.21/0.47 inference(superposition,[],[f1357,f1256])). 0.21/0.47 thf(f1357,plain,( 0.21/0.47 ( ! [X0 : $i] : (($false = (sK1 @ X0)) | ((sK24 @ X0) = sK25)) ) | (~spl2_4 | ~spl2_7)), 0.21/0.47 inference(trivial_inequality_removal,[],[f1352])). 0.21/0.47 thf(f1352,plain,( 0.21/0.47 ( ! [X0 : $i] : (((sK24 @ X0) = sK25) | ($true = $false) | ($false = (sK1 @ X0))) ) | (~spl2_4 | ~spl2_7)), 0.21/0.47 inference(superposition,[],[f1276,f1264])). 0.21/0.47 thf(f1282,plain,( 0.21/0.47 spl2_7 | spl2_8), 0.21/0.47 inference(avatar_split_clause,[],[f692,f1279,f1275])). 0.21/0.47 thf(f692,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($true = (sK1 @ (sK24 @ X1))) | ((sK1 @ X1) = $false) | ($false = (sK0 @ X2)) | ($true = (sK0 @ (sK23 @ X2)))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f690])). 0.21/0.47 thf(f690,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($false = (sK0 @ X2)) | ($true = (sK0 @ (sK23 @ X2))) | ($false = ((sK1 @ (sK24 @ X1)) => (X1 = (sK24 @ X1)))) | ((sK1 @ X1) = $false)) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f688])). 0.21/0.47 thf(f688,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($false = ((sK0 @ (sK23 @ X2)) => (X2 = (sK23 @ X2)))) | ($false = ((sK1 @ (sK24 @ X1)) => (X1 = (sK24 @ X1)))) | ((sK1 @ X1) = $false) | ($false = (sK0 @ X2))) )), 0.21/0.47 inference(beta_eta_normalization,[],[f687])). 0.21/0.47 thf(f687,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (((sK1 @ X1) = $false) | ($false = ((^[Y0 : $i]: ((sK1 @ Y0) => (X1 = Y0))) @ (sK24 @ X1))) | ($false = (sK0 @ X2)) | ($false = ((sK0 @ (sK23 @ X2)) => (X2 = (sK23 @ X2))))) )), 0.21/0.47 inference(sigma_clausification,[],[f686])). 0.21/0.47 thf(f686,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((sK1 @ Y0) => (X1 = Y0))))) | ((sK1 @ X1) = $false) | ($false = (sK0 @ X2)) | ($false = ((sK0 @ (sK23 @ X2)) => (X2 = (sK23 @ X2))))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f685])). 0.21/0.47 thf(f685,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ Y0) => (X1 = Y0)))) & (sK1 @ X1))) | ($false = (sK0 @ X2)) | ($false = ((sK0 @ (sK23 @ X2)) => (X2 = (sK23 @ X2))))) )), 0.21/0.47 inference(beta_eta_normalization,[],[f684])). 0.21/0.47 thf(f684,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($false = (sK0 @ X2)) | ($false = ((^[Y0 : $i]: ((sK0 @ Y0) => (X2 = Y0))) @ (sK23 @ X2))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ Y0) => (X1 = Y0)))) & (sK1 @ X1)))) )), 0.21/0.47 inference(sigma_clausification,[],[f683])). 0.21/0.47 thf(f683,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0) => (X2 = Y0)))) = $false) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ Y0) => (X1 = Y0)))) & (sK1 @ X1))) | ($false = (sK0 @ X2))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f682])). 0.21/0.47 thf(f682,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0) => (X2 = Y0)))) & (sK0 @ X2))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ Y0) => (X1 = Y0)))) & (sK1 @ X1)))) )), 0.21/0.47 inference(beta_eta_normalization,[],[f681])). 0.21/0.47 thf(f681,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($false = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1) => (Y0 = Y1)))) & (sK0 @ Y0))) @ X2)) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ Y0) => (X1 = Y0)))) & (sK1 @ X1)))) )), 0.21/0.47 inference(pi_clausification,[],[f680])). 0.21/0.47 thf(f680,plain,( 0.21/0.47 ( ! [X1 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1) => (Y0 = Y1)))) & (sK0 @ Y0))))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ Y0) => (X1 = Y0)))) & (sK1 @ X1)))) )), 0.21/0.47 inference(beta_eta_normalization,[],[f679])). 0.21/0.47 thf(f679,plain,( 0.21/0.47 ( ! [X1 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1) => (Y0 = Y1)))) & (sK0 @ Y0))))) | (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y1) => (Y0 = Y1)))) & (sK1 @ Y0))) @ X1) = $false)) )), 0.21/0.47 inference(pi_clausification,[],[f678])). 0.21/0.47 thf(f678,plain,( 0.21/0.47 ($false = (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y1) => (Y0 = Y1)))) & (sK1 @ Y0))))) | ($false = (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1) => (Y0 = Y1)))) & (sK0 @ Y0)))))), 0.21/0.47 inference(binary_proxy_clausification,[],[f676])). 0.21/0.47 thf(f676,plain,( 0.21/0.47 ((?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y1) => (Y0 = Y1)))) & (sK1 @ Y0)))) != (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1) => (Y0 = Y1)))) & (sK0 @ Y0)))))), 0.21/0.47 inference(beta_eta_normalization,[],[f347])). 0.21/0.47 thf(f347,plain,( 0.21/0.47 (((^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1))))) @ (^[Y0 : $i]: (sK1 @ Y0))) != ((^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1))))) @ (^[Y0 : $i]: (sK0 @ Y0))))), 0.21/0.47 inference(definition_unfolding,[],[f262,f288,f288])). 0.21/0.47 thf(f288,plain,( 0.21/0.47 (exu = (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1))))))), 0.21/0.47 inference(cnf_transformation,[],[f99])). 0.21/0.47 thf(f99,plain,( 0.21/0.47 (exu = (^[Y0 : $i > $o]: (?? @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 = Y2)))) & (Y0 @ Y1))))))), 0.21/0.47 inference(fool_elimination,[],[f98])). 0.21/0.47 thf(f98,plain,( 0.21/0.47 (exu = (^[X0 : $i > $o] : (? [X1] : ((X0 @ X1) & ! [X2] : ((X0 @ X2) => (X1 = X2))))))), 0.21/0.47 inference(rectify,[],[f1])). 0.21/0.47 thf(f1,axiom,( 0.21/0.47 (exu = (^[X0 : $i > $o] : (? [X1] : ((X0 @ X1) & ! [X2] : ((X0 @ X2) => (X1 = X2))))))), 0.21/0.47 file('/export/starexec/sandbox/tmp/tmp.q1VlNzOANC/E---3.1_24535.p',exu)). 0.21/0.47 thf(f262,plain,( 0.21/0.47 ((exu @ (^[Y0 : $i]: (sK0 @ Y0))) != (exu @ (^[Y0 : $i]: (sK1 @ Y0))))), 0.21/0.47 inference(cnf_transformation,[],[f209])). 0.21/0.47 thf(f1281,plain,( 0.21/0.47 spl2_8 | spl2_6), 0.21/0.47 inference(avatar_split_clause,[],[f693,f1271,f1279])). 0.21/0.47 thf(f693,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($true = (sK0 @ (sK23 @ X2))) | ((sK24 @ X1) != X1) | ((sK1 @ X1) = $false) | ($false = (sK0 @ X2))) )), 0.21/0.47 inference(equality_proxy_clausification,[],[f691])). 0.21/0.47 thf(f691,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($false = (sK0 @ X2)) | ((X1 = (sK24 @ X1)) = $false) | ((sK1 @ X1) = $false) | ($true = (sK0 @ (sK23 @ X2)))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f690])). 0.21/0.47 thf(f1277,plain,( 0.21/0.47 spl2_7 | spl2_5), 0.21/0.47 inference(avatar_split_clause,[],[f696,f1268,f1275])). 0.21/0.47 thf(f696,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($false = (sK0 @ X2)) | ((sK23 @ X2) != X2) | ($true = (sK1 @ (sK24 @ X1))) | ((sK1 @ X1) = $false)) )), 0.21/0.47 inference(equality_proxy_clausification,[],[f695])). 0.21/0.47 thf(f695,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($false = (sK0 @ X2)) | ((sK1 @ X1) = $false) | ($true = (sK1 @ (sK24 @ X1))) | ($false = (X2 = (sK23 @ X2)))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f689])). 0.21/0.47 thf(f689,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($false = ((sK1 @ (sK24 @ X1)) => (X1 = (sK24 @ X1)))) | ((sK1 @ X1) = $false) | ($false = (sK0 @ X2)) | ($false = (X2 = (sK23 @ X2)))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f688])). 0.21/0.47 thf(f1273,plain,( 0.21/0.47 spl2_5 | spl2_6), 0.21/0.47 inference(avatar_split_clause,[],[f698,f1271,f1268])). 0.21/0.47 thf(f698,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (((sK1 @ X1) = $false) | ((sK24 @ X1) != X1) | ($false = (sK0 @ X2)) | ((sK23 @ X2) != X2)) )), 0.21/0.47 inference(equality_proxy_clausification,[],[f697])). 0.21/0.47 thf(f697,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (((sK24 @ X1) != X1) | ($false = (X2 = (sK23 @ X2))) | ((sK1 @ X1) = $false) | ($false = (sK0 @ X2))) )), 0.21/0.47 inference(equality_proxy_clausification,[],[f694])). 0.21/0.47 thf(f694,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (((X1 = (sK24 @ X1)) = $false) | ($false = (X2 = (sK23 @ X2))) | ($false = (sK0 @ X2)) | ((sK1 @ X1) = $false)) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f689])). 0.21/0.47 thf(f1266,plain,( 0.21/0.47 spl2_3 | spl2_4), 0.21/0.47 inference(avatar_split_clause,[],[f714,f1263,f1259])). 0.21/0.47 thf(f714,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (((sK1 @ X1) = $false) | (sK26 = X2) | ($false = (sK0 @ X2)) | (sK25 = X1)) )), 0.21/0.47 inference(equality_proxy_clausification,[],[f713])). 0.21/0.47 thf(f713,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (((sK1 @ X1) = $false) | (sK25 = X1) | ($true = (sK26 = X2)) | ($false = (sK0 @ X2))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f712])). 0.21/0.47 thf(f712,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : ((sK25 = X1) | ($true = ((sK0 @ X2) => (sK26 = X2))) | ((sK1 @ X1) = $false)) )), 0.21/0.47 inference(beta_eta_normalization,[],[f711])). 0.21/0.47 thf(f711,plain,( 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (((sK1 @ X1) = $false) | (sK25 = X1) | ($true = ((^[Y0 : $i]: ((sK0 @ Y0) => (sK26 = Y0))) @ X2))) )), 0.21/0.47 inference(pi_clausification,[],[f710])). 0.21/0.47 thf(f710,plain,( 0.21/0.47 ( ! [X1 : $i] : ((sK25 = X1) | ((sK1 @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0) => (sK26 = Y0)))))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f708])). 0.21/0.47 thf(f708,plain,( 0.21/0.47 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0) => (sK26 = Y0)))) & (sK0 @ sK26))) | (sK25 = X1) | ((sK1 @ X1) = $false)) )), 0.21/0.47 inference(equality_proxy_clausification,[],[f707])). 0.21/0.47 thf(f707,plain,( 0.21/0.47 ( ! [X1 : $i] : (($true = (sK25 = X1)) | ((sK1 @ X1) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0) => (sK26 = Y0)))) & (sK0 @ sK26)))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f706])). 0.21/0.47 thf(f706,plain,( 0.21/0.47 ( ! [X1 : $i] : (($true = ((sK1 @ X1) => (sK25 = X1))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0) => (sK26 = Y0)))) & (sK0 @ sK26)))) )), 0.21/0.47 inference(beta_eta_normalization,[],[f705])). 0.21/0.47 thf(f705,plain,( 0.21/0.47 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK1 @ Y0) => (sK25 = Y0))) @ X1)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0) => (sK26 = Y0)))) & (sK0 @ sK26)))) )), 0.21/0.47 inference(pi_clausification,[],[f704])). 0.21/0.47 thf(f704,plain,( 0.21/0.47 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK1 @ Y0) => (sK25 = Y0))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0) => (sK26 = Y0)))) & (sK0 @ sK26)))), 0.21/0.47 inference(binary_proxy_clausification,[],[f702])). 0.21/0.47 thf(f702,plain,( 0.21/0.47 ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ Y0) => (sK25 = Y0)))) & (sK1 @ sK25))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0) => (sK26 = Y0)))) & (sK0 @ sK26)))), 0.21/0.47 inference(beta_eta_normalization,[],[f701])). 0.21/0.47 thf(f701,plain,( 0.21/0.47 ($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1) => (Y0 = Y1)))) & (sK0 @ Y0))) @ sK26)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ Y0) => (sK25 = Y0)))) & (sK1 @ sK25)))), 0.21/0.47 inference(sigma_clausification,[],[f700])). 0.21/0.47 thf(f700,plain,( 0.21/0.47 ($true = (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1) => (Y0 = Y1)))) & (sK0 @ Y0))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ Y0) => (sK25 = Y0)))) & (sK1 @ sK25)))), 0.21/0.47 inference(beta_eta_normalization,[],[f699])). 0.21/0.47 thf(f699,plain,( 0.21/0.47 ($true = (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1) => (Y0 = Y1)))) & (sK0 @ Y0))))) | ($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y1) => (Y0 = Y1)))) & (sK1 @ Y0))) @ sK25))), 0.21/0.47 inference(sigma_clausification,[],[f677])). 0.21/0.47 thf(f677,plain,( 0.21/0.47 ($true = (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y1) => (Y0 = Y1)))) & (sK1 @ Y0))))) | ($true = (?? @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1) => (Y0 = Y1)))) & (sK0 @ Y0)))))), 0.21/0.47 inference(binary_proxy_clausification,[],[f676])). 0.21/0.47 thf(f1265,plain,( 0.21/0.47 spl2_4 | spl2_1), 0.21/0.47 inference(avatar_split_clause,[],[f709,f1250,f1263])). 0.21/0.47 thf(f709,plain,( 0.21/0.47 ( ! [X1 : $i] : ((sK25 = X1) | ((sK1 @ X1) = $false) | ($true = (sK0 @ sK26))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f708])). 0.21/0.47 thf(f1257,plain,( 0.21/0.47 spl2_1 | spl2_2), 0.21/0.47 inference(avatar_split_clause,[],[f715,f1254,f1250])). 0.21/0.47 thf(f715,plain,( 0.21/0.47 ($true = (sK0 @ sK26)) | ($true = (sK1 @ sK25))), 0.21/0.47 inference(binary_proxy_clausification,[],[f703])). 0.21/0.47 thf(f703,plain,( 0.21/0.47 ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0) => (sK26 = Y0)))) & (sK0 @ sK26))) | ($true = (sK1 @ sK25))), 0.21/0.47 inference(binary_proxy_clausification,[],[f702])). 0.21/0.47 % SZS output end Proof for E---3.1_24535 0.21/0.47 % (24644)------------------------------ 0.21/0.47 % (24644)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.47 % (24644)Termination reason: Refutation 0.21/0.47 0.21/0.47 % (24644)Memory used [KB]: 6780 0.21/0.47 % (24644)Time elapsed: 0.074 s 0.21/0.47 % (24644)Instructions burned: 115 (million) 0.21/0.47 % (24644)------------------------------ 0.21/0.47 % (24644)------------------------------ 0.21/0.47 % (24643)Success in time 0.099 s 0.21/0.47 EOF