TSTP Solution File: SEU569^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEU569^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 15:41:20 EDT 2024
% Result : Theorem 0.14s 0.33s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU569^1 : TPTP v8.2.0. Released v3.7.0.
% 0.00/0.09 % Command : run_vampire %s %d THM
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri Jun 21 13:02:23 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.29 This is a TH0_THM_EQU_NAR problem
% 0.08/0.29 Running higher-order theorem proving
% 0.08/0.29 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/benchmark/theBenchmark.p -m 16384 -t 300
% 0.08/0.31 % (20875)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.08/0.31 % (20874)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.08/0.31 % (20871)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 theBenchmark for (2999ds/4Mi)
% 0.08/0.31 % (20873)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.08/0.31 % (20870)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.08/0.31 % (20876)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.08/0.31 % (20873)Instruction limit reached!
% 0.08/0.31 % (20873)------------------------------
% 0.08/0.31 % (20873)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.08/0.31 % (20873)Termination reason: Unknown
% 0.08/0.31 % (20873)Termination phase: shuffling
% 0.08/0.31
% 0.08/0.31 % (20873)Memory used [KB]: 1151
% 0.08/0.31 % (20873)Time elapsed: 0.002 s
% 0.08/0.31 % (20873)Instructions burned: 3 (million)
% 0.08/0.31 % (20873)------------------------------
% 0.08/0.31 % (20873)------------------------------
% 0.08/0.31 % (20874)Instruction limit reached!
% 0.08/0.31 % (20874)------------------------------
% 0.08/0.31 % (20874)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.08/0.31 % (20874)Termination reason: Unknown
% 0.08/0.31 % (20874)Termination phase: shuffling
% 0.08/0.31
% 0.08/0.31 % (20874)Memory used [KB]: 1151
% 0.08/0.31 % (20874)Time elapsed: 0.002 s
% 0.08/0.31 % (20874)Instructions burned: 3 (million)
% 0.08/0.31 % (20874)------------------------------
% 0.08/0.31 % (20874)------------------------------
% 0.08/0.31 % (20871)Instruction limit reached!
% 0.08/0.31 % (20871)------------------------------
% 0.08/0.31 % (20871)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.08/0.31 % (20871)Termination reason: Unknown
% 0.08/0.31 % (20871)Termination phase: shuffling
% 0.08/0.31
% 0.08/0.31 % (20871)Memory used [KB]: 1151
% 0.08/0.31 % (20871)Time elapsed: 0.003 s
% 0.08/0.31 % (20871)Instructions burned: 6 (million)
% 0.08/0.31 % (20871)------------------------------
% 0.08/0.31 % (20871)------------------------------
% 0.08/0.31 % (20872)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 theBenchmark for (2999ds/27Mi)
% 0.14/0.31 % (20876)Instruction limit reached!
% 0.14/0.31 % (20876)------------------------------
% 0.14/0.31 % (20876)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.31 % (20876)Termination reason: Unknown
% 0.14/0.31 % (20876)Termination phase: Preprocessing 3
% 0.14/0.31
% 0.14/0.31 % (20876)Memory used [KB]: 1663
% 0.14/0.31 % (20876)Time elapsed: 0.008 s
% 0.14/0.31 % (20876)Instructions burned: 20 (million)
% 0.14/0.31 % (20876)------------------------------
% 0.14/0.31 % (20876)------------------------------
% 0.14/0.32 % (20877)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.32 % (20878)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 theBenchmark for (2999ds/37Mi)
% 0.14/0.32 % (20879)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 theBenchmark for (2999ds/15Mi)
% 0.14/0.32 % (20877)Instruction limit reached!
% 0.14/0.32 % (20877)------------------------------
% 0.14/0.32 % (20877)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.32 % (20877)Termination reason: Unknown
% 0.14/0.32 % (20877)Termination phase: shuffling
% 0.14/0.32
% 0.14/0.32 % (20877)Memory used [KB]: 1151
% 0.14/0.32 % (20877)Time elapsed: 0.003 s
% 0.14/0.32 % (20877)Instructions burned: 4 (million)
% 0.14/0.32 % (20877)------------------------------
% 0.14/0.32 % (20877)------------------------------
% 0.14/0.32 % (20879)Instruction limit reached!
% 0.14/0.32 % (20879)------------------------------
% 0.14/0.32 % (20879)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.32 % (20879)Termination reason: Unknown
% 0.14/0.32 % (20879)Termination phase: Preprocessing 3
% 0.14/0.32
% 0.14/0.32 % (20879)Memory used [KB]: 1535
% 0.14/0.32 % (20879)Time elapsed: 0.007 s
% 0.14/0.32 % (20879)Instructions burned: 15 (million)
% 0.14/0.32 % (20879)------------------------------
% 0.14/0.32 % (20879)------------------------------
% 0.14/0.32 % (20880)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.32 % (20880)Instruction limit reached!
% 0.14/0.32 % (20880)------------------------------
% 0.14/0.32 % (20880)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.32 % (20880)Termination reason: Unknown
% 0.14/0.32 % (20880)Termination phase: shuffling
% 0.14/0.32
% 0.14/0.32 % (20880)Memory used [KB]: 1151
% 0.14/0.32 % (20880)Time elapsed: 0.003 s
% 0.14/0.32 % (20880)Instructions burned: 4 (million)
% 0.14/0.32 % (20880)------------------------------
% 0.14/0.32 % (20880)------------------------------
% 0.14/0.32 % (20872)Instruction limit reached!
% 0.14/0.32 % (20872)------------------------------
% 0.14/0.32 % (20872)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.32 % (20872)Termination reason: Unknown
% 0.14/0.32 % (20872)Termination phase: Function definition elimination
% 0.14/0.32
% 0.14/0.32 % (20872)Memory used [KB]: 1407
% 0.14/0.32 % (20872)Time elapsed: 0.014 s
% 0.14/0.32 % (20872)Instructions burned: 28 (million)
% 0.14/0.32 % (20872)------------------------------
% 0.14/0.32 % (20872)------------------------------
% 0.14/0.33 % (20881)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 theBenchmark for (2999ds/1041Mi)
% 0.14/0.33 % (20878)Instruction limit reached!
% 0.14/0.33 % (20878)------------------------------
% 0.14/0.33 % (20878)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.33 % (20878)Termination reason: Unknown
% 0.14/0.33 % (20878)Termination phase: Property scanning
% 0.14/0.33
% 0.14/0.33 % (20878)Memory used [KB]: 1407
% 0.14/0.33 % (20878)Time elapsed: 0.012 s
% 0.14/0.33 % (20878)Instructions burned: 38 (million)
% 0.14/0.33 % (20878)------------------------------
% 0.14/0.33 % (20878)------------------------------
% 0.14/0.33 % (20882)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.33 % (20875)First to succeed.
% 0.14/0.33 % (20883)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.33 % (20882)Instruction limit reached!
% 0.14/0.33 % (20882)------------------------------
% 0.14/0.33 % (20882)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.33 % (20882)Termination reason: Unknown
% 0.14/0.33 % (20882)Termination phase: shuffling
% 0.14/0.33
% 0.14/0.33 % (20882)Memory used [KB]: 1279
% 0.14/0.33 % (20882)Time elapsed: 0.004 s
% 0.14/0.33 % (20882)Instructions burned: 8 (million)
% 0.14/0.33 % (20882)------------------------------
% 0.14/0.33 % (20882)------------------------------
% 0.14/0.33 % (20884)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 theBenchmark for (2999ds/3Mi)
% 0.14/0.33 % (20875)Refutation found. Thanks to Tanya!
% 0.14/0.33 % SZS status Theorem for theBenchmark
% 0.14/0.33 % SZS output start Proof for theBenchmark
% 0.14/0.33 thf(func_def_0, type, in: $i > $i > $o).
% 0.14/0.33 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.14/0.33 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.14/0.33 thf(func_def_8, type, powerset: $i > $i).
% 0.14/0.33 thf(func_def_10, type, setunion: $i > $i).
% 0.14/0.33 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.14/0.33 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.14/0.33 thf(func_def_26, type, prop2set: $o > $i).
% 0.14/0.33 thf(func_def_36, type, nonempty: $i > $o).
% 0.14/0.33 thf(func_def_69, type, set2prop: $i > $o).
% 0.14/0.33 thf(func_def_88, type, subset: $i > $i > $o).
% 0.14/0.33 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.14/0.33 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.14/0.33 thf(func_def_114, type, sP1: $i > $i > $o).
% 0.14/0.33 thf(func_def_115, type, sP2: $i > $o).
% 0.14/0.33 thf(func_def_116, type, sP3: $i > $i > $o).
% 0.14/0.33 thf(func_def_117, type, sP4: $i > $i > $o).
% 0.14/0.33 thf(func_def_122, type, sK9: $i > $i).
% 0.14/0.33 thf(func_def_124, type, sK11: $i > $i > $o).
% 0.14/0.33 thf(func_def_126, type, sK13: $i > $i).
% 0.14/0.33 thf(func_def_127, type, sK14: $i > $i).
% 0.14/0.33 thf(func_def_128, type, sK15: $i > ($i > $i > $o) > $i).
% 0.14/0.33 thf(func_def_129, type, sK16: $i > $i > ($i > $i > $o) > $i).
% 0.14/0.33 thf(func_def_130, type, sK17: $i > ($i > $i > $o) > $i).
% 0.14/0.33 thf(func_def_132, type, sK19: $i > $i).
% 0.14/0.33 thf(func_def_138, type, sK25: $i > $i > $i).
% 0.14/0.33 thf(func_def_139, type, sK26: $i > $i > $i).
% 0.14/0.33 thf(func_def_140, type, sK27: $i > $i > $i).
% 0.14/0.33 thf(func_def_141, type, sK28: $i > $i > $i).
% 0.14/0.33 thf(func_def_142, type, sK29: $i > $i > $i).
% 0.14/0.33 thf(func_def_143, type, sK30: $i > $i > $i > $i).
% 0.14/0.33 thf(func_def_144, type, sK31: $i > $i).
% 0.14/0.33 thf(func_def_145, type, sK32: $i > $i).
% 0.14/0.33 thf(func_def_146, type, sK33: $i > $i).
% 0.14/0.33 thf(func_def_147, type, sK34: $i > $i).
% 0.14/0.33 thf(func_def_148, type, sK35: $i > $i > $i).
% 0.14/0.33 thf(func_def_149, type, sK36: $i > $i > $i > $i).
% 0.14/0.33 thf(func_def_150, type, sK37: $i > $i > $i > $i).
% 0.14/0.33 thf(func_def_151, type, sK38: $i > $i > $i).
% 0.14/0.33 thf(func_def_152, type, sK39: $i > $i > $i).
% 0.14/0.33 thf(func_def_154, type, sK41: $i > $i).
% 0.14/0.33 thf(func_def_155, type, sK42: $i > $i).
% 0.14/0.33 thf(func_def_156, type, sK43: $i > $i).
% 0.14/0.33 thf(func_def_157, type, sK44: $i > $i > $i).
% 0.14/0.33 thf(func_def_165, type, sK52: $o > $i > $i > $i).
% 0.14/0.33 thf(func_def_171, type, sK58: $i > $o).
% 0.14/0.33 thf(func_def_173, type, sK60: ($i > $o) > $i > $i).
% 0.14/0.33 thf(func_def_176, type, sK63: $i > $o).
% 0.14/0.33 thf(func_def_181, type, sK68: $i > $i > $i).
% 0.14/0.33 thf(func_def_185, type, sK72: $i > $o).
% 0.14/0.33 thf(func_def_187, type, sK74: $i > ($i > $o) > $i).
% 0.14/0.33 thf(func_def_188, type, sK75: $i > $o).
% 0.14/0.33 thf(func_def_191, type, sK78: $i > ($i > $o) > $i).
% 0.14/0.33 thf(func_def_198, type, sK85: $i > $i > $i).
% 0.14/0.33 thf(func_def_199, type, sK86: $i > $i > $i).
% 0.14/0.33 thf(func_def_202, type, sK89: $i > $o).
% 0.14/0.33 thf(func_def_203, type, sK90: $i > $i).
% 0.14/0.33 thf(func_def_219, type, sK106: $i > $o).
% 0.14/0.33 thf(func_def_222, type, sK109: $i > $o).
% 0.14/0.33 thf(func_def_224, type, sK111: $i > ($i > $o) > $i).
% 0.14/0.33 thf(func_def_225, type, sK112: ($i > $o) > $i > $i).
% 0.14/0.33 thf(func_def_227, type, sK114: $i > $o).
% 0.14/0.33 thf(func_def_236, type, sK123: $i > $o).
% 0.14/0.33 thf(func_def_239, type, sK126: $i > $i > $i).
% 0.14/0.33 thf(func_def_243, type, sK130: $i > $o).
% 0.14/0.33 thf(func_def_244, type, sK131: $i > $i).
% 0.14/0.33 thf(func_def_245, type, sK132: ($i > $o) > $i).
% 0.14/0.33 thf(func_def_253, type, sK140: ($i > $o) > $i).
% 0.14/0.33 thf(func_def_254, type, sK141: $i > $o).
% 0.14/0.33 thf(func_def_255, type, sK142: $i > $i).
% 0.14/0.33 thf(func_def_257, type, sK144: $i > $o).
% 0.14/0.33 thf(func_def_266, type, sK153: $i > $i).
% 0.14/0.33 thf(func_def_267, type, sK154: $i > $i).
% 0.14/0.33 thf(func_def_268, type, sK155: ($i > $o) > $i).
% 0.14/0.33 thf(func_def_269, type, sK156: ($i > $o) > $i).
% 0.14/0.33 thf(func_def_270, type, sK157: $i > $o).
% 0.14/0.33 thf(func_def_273, type, sK160: $i > $o).
% 0.14/0.33 thf(func_def_276, type, sK163: $i > ($i > $o) > $i).
% 0.14/0.33 thf(func_def_280, type, sK167: $i > $o).
% 0.14/0.33 thf(func_def_288, type, sK175: $i > $i > $i).
% 0.14/0.33 thf(func_def_291, type, sK178: $i > $o).
% 0.14/0.33 thf(func_def_292, type, sK179: $i > $o).
% 0.14/0.33 thf(func_def_293, type, sK180: ($i > $o) > ($i > $o) > $i).
% 0.14/0.33 thf(func_def_294, type, sK181: ($i > $o) > ($i > $o) > $i).
% 0.14/0.33 thf(func_def_297, type, sK184: $i > $o).
% 0.14/0.33 thf(func_def_298, type, sK185: $i > $o).
% 0.14/0.33 thf(func_def_299, type, sK186: ($i > $o) > ($i > $o) > $i).
% 0.14/0.33 thf(func_def_300, type, sK187: ($i > $o) > ($i > $o) > $i).
% 0.14/0.33 thf(func_def_303, type, sK190: $i > $o).
% 0.14/0.33 thf(func_def_304, type, sK191: ($i > $o) > $i).
% 0.14/0.33 thf(func_def_305, type, sK192: $i > $i).
% 0.14/0.33 thf(func_def_307, type, sK194: $i > $o).
% 0.14/0.33 thf(func_def_310, type, sK197: $i > $i > $i).
% 0.14/0.33 thf(func_def_314, type, sK201: $i > $o).
% 0.14/0.33 thf(func_def_316, type, sK203: ($i > $o) > $i > $i).
% 0.14/0.33 thf(func_def_318, type, sK205: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.14/0.33 thf(func_def_319, type, sK206: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.14/0.33 thf(func_def_322, type, sK209: $i > $o).
% 0.14/0.33 thf(func_def_323, type, sK210: $i > $o).
% 0.14/0.33 thf(func_def_328, type, sK215: $i > $o).
% 0.14/0.33 thf(func_def_330, type, sK217: ($i > $o) > $i > $i).
% 0.14/0.33 thf(func_def_333, type, sK220: $i > $o).
% 0.14/0.33 thf(func_def_334, type, sK221: $i > $o).
% 0.14/0.33 thf(func_def_339, type, sK226: $i > $i).
% 0.14/0.33 thf(func_def_347, type, sK234: $i > $i > $i).
% 0.14/0.33 thf(func_def_355, type, sK242: $i > $o).
% 0.14/0.33 thf(func_def_359, type, ph246: !>[X0: $tType]:(X0)).
% 0.14/0.33 thf(f1761,plain,(
% 0.14/0.33 $false),
% 0.14/0.33 inference(subsumption_resolution,[],[f1089,f1712])).
% 0.14/0.33 thf(f1712,plain,(
% 0.14/0.33 ( ! [X3 : $i] : (((subset @ X3 @ X3) = $true)) )),
% 0.14/0.33 inference(trivial_inequality_removal,[],[f1577])).
% 0.14/0.33 thf(f1577,plain,(
% 0.14/0.33 ( ! [X3 : $i] : (((subset @ X3 @ X3) = $true) | ($true != $true)) )),
% 0.14/0.33 inference(equality_resolution,[],[f1416])).
% 0.14/0.33 thf(f1416,plain,(
% 0.14/0.33 ( ! [X2 : $i,X3 : $i] : ((X2 != X3) | ($true = (subset @ X3 @ X2)) | ($true != $true)) )),
% 0.14/0.33 inference(definition_unfolding,[],[f1011,f1056])).
% 0.14/0.33 thf(f1056,plain,(
% 0.14/0.33 (eqimpsubset2 = $true)),
% 0.14/0.33 inference(cnf_transformation,[],[f639])).
% 0.14/0.33 thf(f639,plain,(
% 0.14/0.33 (emptysetAx = $true) & (setadjoinOr = $true) & (notdallE = $true) & (quantDeMorgan3 = $true) & (prop2setI = $true) & (omegaIndAx = $true) & (emptyInPowerset = $true) & (exuE3u = $true) & (prop2set2propI = $true) & (inCongP = $true) & (notequalI2 = $true) & (subsetI2 = $true) & (emptysetE = $true) & (emptyinPowerset = $true) & (exuI3 = $true) & (notinemptyset = $true) & (exu__Cong = $true) & (subsetI1 = $true) & (setunion__Cong = $true) & (noeltsimpempty = $true) & (setadjoinIL = $true) & (foundationAx = $true) & (nonemptyI = $true) & (eqinunit = $true) & (subsetE = $true) & (exuE2 = $true) & ($true != (subset @ sK150 @ sK150)) & (nonemptyImpWitness = $true) & (dsetconstrEL = $true) & (setbeta = $true) & (subPowSU = $true) & (emptyE1 = $true) & (emptysetsubset = $true) & (exuE1 = $true) & (emptyI = $true) & (prop2setE = $true) & (powerset__Cong = $true) & (quantDeMorgan2 = $true) & (notdexE = $true) & (powersetE = $true) & (powersetAx = $true) & (setunionE = $true) & (notequalI1 = $true) & (omega0Ax = $true) & (dsetconstrER = $true) & (setadjoinIR = $true) & (exuE3e = $true) & (setadjoin__Cong = $true) & (exuI1 = $true) & (emptyinunitempty = $true) & (eqimpsubset1 = $true) & (descr__Cong = $true) & (vacuousDall = $true) & (uniqinunit = $true) & (dsetconstr__Cong = $true) & (emptyset__Cong = $true) & (omega__Cong = $true) & (powersetI = $true) & (upairsetE = $true) & (eqimpsubset2 = $true) & (setunionAx = $true) & (exuEu = $true) & (in__Cong = $true) & (notsubsetI = $true) & (upairsetIR = $true) & (subsetE2 = $true) & (setunionI = $true) & (notinsingleton = $true) & (setextAx = $true) & (setadjoinAx = $true) & (nonemptyI1 = $true) & (descrp = $true) & (wellorderingAx = $true) & (exuI2 = $true) & (singletonsswitch = $true) & (quantDeMorgan4 = $true) & (upairsetIL = $true) & (quantDeMorgan1 = $true) & (setadjoinE = $true) & (nonemptyE1 = $true) & (setoftrueEq = $true) & (omegaSAx = $true) & (dsetconstrI = $true) & (setext = $true) & (emptysetimpfalse = $true) & (replAx = $true)),
% 0.14/0.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK150])],[f288,f638])).
% 0.14/0.33 thf(f638,plain,(
% 0.14/0.33 ? [X0] : ($true != (subset @ X0 @ X0)) => ($true != (subset @ sK150 @ sK150))),
% 0.14/0.33 introduced(choice_axiom,[])).
% 0.14/0.33 thf(f288,plain,(
% 0.14/0.33 (emptysetAx = $true) & (setadjoinOr = $true) & (notdallE = $true) & (quantDeMorgan3 = $true) & (prop2setI = $true) & (omegaIndAx = $true) & (emptyInPowerset = $true) & (exuE3u = $true) & (prop2set2propI = $true) & (inCongP = $true) & (notequalI2 = $true) & (subsetI2 = $true) & (emptysetE = $true) & (emptyinPowerset = $true) & (exuI3 = $true) & (notinemptyset = $true) & (exu__Cong = $true) & (subsetI1 = $true) & (setunion__Cong = $true) & (noeltsimpempty = $true) & (setadjoinIL = $true) & (foundationAx = $true) & (nonemptyI = $true) & (eqinunit = $true) & (subsetE = $true) & (exuE2 = $true) & ? [X0] : ($true != (subset @ X0 @ X0)) & (nonemptyImpWitness = $true) & (dsetconstrEL = $true) & (setbeta = $true) & (subPowSU = $true) & (emptyE1 = $true) & (emptysetsubset = $true) & (exuE1 = $true) & (emptyI = $true) & (prop2setE = $true) & (powerset__Cong = $true) & (quantDeMorgan2 = $true) & (notdexE = $true) & (powersetE = $true) & (powersetAx = $true) & (setunionE = $true) & (notequalI1 = $true) & (omega0Ax = $true) & (dsetconstrER = $true) & (setadjoinIR = $true) & (exuE3e = $true) & (setadjoin__Cong = $true) & (exuI1 = $true) & (emptyinunitempty = $true) & (eqimpsubset1 = $true) & (descr__Cong = $true) & (vacuousDall = $true) & (uniqinunit = $true) & (dsetconstr__Cong = $true) & (emptyset__Cong = $true) & (omega__Cong = $true) & (powersetI = $true) & (upairsetE = $true) & (eqimpsubset2 = $true) & (setunionAx = $true) & (exuEu = $true) & (in__Cong = $true) & (notsubsetI = $true) & (upairsetIR = $true) & (subsetE2 = $true) & (setunionI = $true) & (notinsingleton = $true) & (setextAx = $true) & (setadjoinAx = $true) & (nonemptyI1 = $true) & (descrp = $true) & (wellorderingAx = $true) & (exuI2 = $true) & (singletonsswitch = $true) & (quantDeMorgan4 = $true) & (upairsetIL = $true) & (quantDeMorgan1 = $true) & (setadjoinE = $true) & (nonemptyE1 = $true) & (setoftrueEq = $true) & (omegaSAx = $true) & (dsetconstrI = $true) & (setext = $true) & (emptysetimpfalse = $true) & (replAx = $true)),
% 0.14/0.33 inference(flattening,[],[f287])).
% 0.14/0.33 thf(f287,plain,(
% 0.14/0.33 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0] : ($true != (subset @ X0 @ X0)) & (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)),
% 0.14/0.33 inference(ennf_transformation,[],[f197])).
% 0.14/0.33 thf(f197,plain,(
% 0.14/0.33 ~((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 = $true) => ! [X0] : ($true = (subset @ X0 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.14/0.33 inference(fool_elimination,[],[f196])).
% 0.14/0.33 thf(f196,plain,(
% 0.14/0.33 ~(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 => ! [X0] : (subset @ X0 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.14/0.33 inference(rectify,[],[f89])).
% 0.14/0.33 thf(f89,negated_conjecture,(
% 0.14/0.33 ~(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 => ! [X3] : (subset @ X3 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.14/0.33 inference(negated_conjecture,[],[f88])).
% 0.14/0.33 thf(f88,conjecture,(
% 0.14/0.33 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 => ! [X3] : (subset @ X3 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.14/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetRefl)).
% 0.14/0.33 thf(f1011,plain,(
% 0.14/0.33 ( ! [X2 : $i,X3 : $i] : ((X2 != X3) | ($true = (subset @ X3 @ X2)) | (eqimpsubset2 != $true)) )),
% 0.14/0.33 inference(cnf_transformation,[],[f615])).
% 0.14/0.33 thf(f615,plain,(
% 0.14/0.33 ((eqimpsubset2 = $true) | ((sK138 = sK139) & ($true != (subset @ sK139 @ sK138)))) & (! [X2,X3] : ((X2 != X3) | ($true = (subset @ X3 @ X2))) | (eqimpsubset2 != $true))),
% 0.14/0.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK138,sK139])],[f613,f614])).
% 0.14/0.33 thf(f614,plain,(
% 0.14/0.33 ? [X0,X1] : ((X0 = X1) & ($true != (subset @ X1 @ X0))) => ((sK138 = sK139) & ($true != (subset @ sK139 @ sK138)))),
% 0.14/0.33 introduced(choice_axiom,[])).
% 0.14/0.33 thf(f613,plain,(
% 0.14/0.33 ((eqimpsubset2 = $true) | ? [X0,X1] : ((X0 = X1) & ($true != (subset @ X1 @ X0)))) & (! [X2,X3] : ((X2 != X3) | ($true = (subset @ X3 @ X2))) | (eqimpsubset2 != $true))),
% 0.14/0.33 inference(rectify,[],[f612])).
% 0.14/0.33 thf(f612,plain,(
% 0.14/0.33 ((eqimpsubset2 = $true) | ? [X0,X1] : ((X0 = X1) & ($true != (subset @ X1 @ X0)))) & (! [X0,X1] : ((X0 != X1) | ($true = (subset @ X1 @ X0))) | (eqimpsubset2 != $true))),
% 0.14/0.33 inference(nnf_transformation,[],[f324])).
% 0.14/0.33 thf(f324,plain,(
% 0.14/0.33 (eqimpsubset2 = $true) <=> ! [X0,X1] : ((X0 != X1) | ($true = (subset @ X1 @ X0)))),
% 0.14/0.33 inference(ennf_transformation,[],[f199])).
% 0.14/0.33 thf(f199,plain,(
% 0.14/0.33 (eqimpsubset2 = $true) <=> ! [X0,X1] : ((X0 = X1) => ($true = (subset @ X1 @ X0)))),
% 0.14/0.33 inference(fool_elimination,[],[f198])).
% 0.14/0.33 thf(f198,plain,(
% 0.14/0.33 (! [X0,X1] : ((X0 = X1) => (subset @ X1 @ X0)) = eqimpsubset2)),
% 0.14/0.33 inference(rectify,[],[f79])).
% 0.14/0.33 thf(f79,axiom,(
% 0.14/0.33 (! [X3,X4] : ((X3 = X4) => (subset @ X4 @ X3)) = eqimpsubset2)),
% 0.14/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqimpsubset2)).
% 0.14/0.33 thf(f1089,plain,(
% 0.14/0.33 ($true != (subset @ sK150 @ sK150))),
% 0.14/0.33 inference(cnf_transformation,[],[f639])).
% 0.14/0.33 % SZS output end Proof for theBenchmark
% 0.14/0.33 % (20875)------------------------------
% 0.14/0.33 % (20875)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.33 % (20875)Termination reason: Refutation
% 0.14/0.33
% 0.14/0.33 % (20875)Memory used [KB]: 6908
% 0.14/0.33 % (20875)Time elapsed: 0.028 s
% 0.14/0.33 % (20875)Instructions burned: 79 (million)
% 0.14/0.33 % (20875)------------------------------
% 0.14/0.33 % (20875)------------------------------
% 0.14/0.33 % (20869)Success in time 0.037 s
%------------------------------------------------------------------------------