TSTP Solution File: SEU616^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU616^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.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 : Tue May 21 03:50:00 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU616^1 : TPTP v8.2.0. Released v3.7.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 16:10:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.37 % (5211)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.37 % (5210)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)
% 0.20/0.37 % (5205)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.37 % (5206)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)
% 0.20/0.37 % (5209)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)
% 0.20/0.37 % (5209)Instruction limit reached!
% 0.20/0.37 % (5209)------------------------------
% 0.20/0.37 % (5209)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (5209)Termination reason: Unknown
% 0.20/0.37 % (5209)Termination phase: shuffling
% 0.20/0.37
% 0.20/0.37 % (5209)Memory used [KB]: 1151
% 0.20/0.37 % (5209)Time elapsed: 0.003 s
% 0.20/0.37 % (5209)Instructions burned: 2 (million)
% 0.20/0.37 % (5209)------------------------------
% 0.20/0.37 % (5209)------------------------------
% 0.20/0.37 % (5206)Instruction limit reached!
% 0.20/0.37 % (5206)------------------------------
% 0.20/0.37 % (5206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (5206)Termination reason: Unknown
% 0.20/0.37 % (5206)Termination phase: shuffling
% 0.20/0.37
% 0.20/0.37 % (5206)Memory used [KB]: 1279
% 0.20/0.37 % (5206)Time elapsed: 0.004 s
% 0.20/0.37 % (5206)Instructions burned: 4 (million)
% 0.20/0.37 % (5206)------------------------------
% 0.20/0.37 % (5206)------------------------------
% 0.20/0.38 % (5207)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)
% 0.20/0.38 % (5212)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)
% 0.20/0.38 % (5211)Instruction limit reached!
% 0.20/0.38 % (5211)------------------------------
% 0.20/0.38 % (5211)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (5211)Termination reason: Unknown
% 0.20/0.38 % (5211)Termination phase: Preprocessing 3
% 0.20/0.38
% 0.20/0.38 % (5211)Memory used [KB]: 1535
% 0.20/0.38 % (5211)Time elapsed: 0.011 s
% 0.20/0.38 % (5211)Instructions burned: 18 (million)
% 0.20/0.38 % (5211)------------------------------
% 0.20/0.38 % (5211)------------------------------
% 0.20/0.38 % (5212)Instruction limit reached!
% 0.20/0.38 % (5212)------------------------------
% 0.20/0.38 % (5212)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (5212)Termination reason: Unknown
% 0.20/0.38 % (5212)Termination phase: shuffling
% 0.20/0.38
% 0.20/0.38 % (5212)Memory used [KB]: 1151
% 0.20/0.38 % (5212)Time elapsed: 0.004 s
% 0.20/0.38 % (5212)Instructions burned: 3 (million)
% 0.20/0.38 % (5212)------------------------------
% 0.20/0.38 % (5212)------------------------------
% 0.20/0.39 % (5208)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.39 % (5208)Instruction limit reached!
% 0.20/0.39 % (5208)------------------------------
% 0.20/0.39 % (5208)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (5208)Termination reason: Unknown
% 0.20/0.39 % (5208)Termination phase: shuffling
% 0.20/0.39
% 0.20/0.39 % (5208)Memory used [KB]: 1151
% 0.20/0.39 % (5208)Time elapsed: 0.003 s
% 0.20/0.39 % (5208)Instructions burned: 2 (million)
% 0.20/0.39 % (5208)------------------------------
% 0.20/0.39 % (5208)------------------------------
% 0.20/0.39 % (5213)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)
% 0.20/0.39 % (5214)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)
% 0.20/0.39 % (5207)Instruction limit reached!
% 0.20/0.39 % (5207)------------------------------
% 0.20/0.39 % (5207)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (5207)Termination reason: Unknown
% 0.20/0.39 % (5207)Termination phase: Property scanning
% 0.20/0.39
% 0.20/0.39 % (5207)Memory used [KB]: 1663
% 0.20/0.39 % (5207)Time elapsed: 0.015 s
% 0.20/0.39 % (5207)Instructions burned: 27 (million)
% 0.20/0.39 % (5207)------------------------------
% 0.20/0.39 % (5207)------------------------------
% 0.20/0.39 % (5215)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)
% 0.20/0.40 % (5215)Instruction limit reached!
% 0.20/0.40 % (5215)------------------------------
% 0.20/0.40 % (5215)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (5215)Termination reason: Unknown
% 0.20/0.40 % (5215)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (5215)Memory used [KB]: 1151
% 0.20/0.40 % (5215)Time elapsed: 0.003 s
% 0.20/0.40 % (5215)Instructions burned: 3 (million)
% 0.20/0.40 % (5215)------------------------------
% 0.20/0.40 % (5215)------------------------------
% 0.20/0.40 % (5214)Instruction limit reached!
% 0.20/0.40 % (5214)------------------------------
% 0.20/0.40 % (5214)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (5214)Termination reason: Unknown
% 0.20/0.40 % (5214)Termination phase: Property scanning
% 0.20/0.40
% 0.20/0.40 % (5214)Memory used [KB]: 1407
% 0.20/0.40 % (5214)Time elapsed: 0.011 s
% 0.20/0.40 % (5214)Instructions burned: 15 (million)
% 0.20/0.40 % (5214)------------------------------
% 0.20/0.40 % (5214)------------------------------
% 0.20/0.40 % (5217)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.40 % (5216)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)
% 0.20/0.40 % (5213)Instruction limit reached!
% 0.20/0.40 % (5213)------------------------------
% 0.20/0.40 % (5213)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (5213)Termination reason: Unknown
% 0.20/0.40 % (5213)Termination phase: Property scanning
% 0.20/0.40
% 0.20/0.40 % (5213)Memory used [KB]: 1663
% 0.20/0.40 % (5213)Time elapsed: 0.018 s
% 0.20/0.40 % (5213)Instructions burned: 38 (million)
% 0.20/0.40 % (5213)------------------------------
% 0.20/0.40 % (5213)------------------------------
% 0.20/0.40 % (5217)Instruction limit reached!
% 0.20/0.40 % (5217)------------------------------
% 0.20/0.40 % (5217)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (5217)Termination reason: Unknown
% 0.20/0.40 % (5217)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (5217)Memory used [KB]: 1279
% 0.20/0.40 % (5217)Time elapsed: 0.006 s
% 0.20/0.40 % (5217)Instructions burned: 8 (million)
% 0.20/0.40 % (5217)------------------------------
% 0.20/0.40 % (5217)------------------------------
% 0.20/0.41 % (5218)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.41 % (5220)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 theBenchmark for (2999ds/3Mi)
% 0.20/0.41 % (5219)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)
% 0.20/0.41 % (5220)Instruction limit reached!
% 0.20/0.41 % (5220)------------------------------
% 0.20/0.41 % (5220)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (5220)Termination reason: Unknown
% 0.20/0.41 % (5220)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (5220)Memory used [KB]: 1151
% 0.20/0.41 % (5220)Time elapsed: 0.003 s
% 0.20/0.41 % (5220)Instructions burned: 3 (million)
% 0.20/0.41 % (5220)------------------------------
% 0.20/0.41 % (5220)------------------------------
% 0.20/0.41 % (5219)Instruction limit reached!
% 0.20/0.41 % (5219)------------------------------
% 0.20/0.41 % (5219)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (5219)Termination reason: Unknown
% 0.20/0.41 % (5219)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (5219)Memory used [KB]: 1279
% 0.20/0.41 % (5219)Time elapsed: 0.004 s
% 0.20/0.41 % (5219)Instructions burned: 4 (million)
% 0.20/0.41 % (5219)------------------------------
% 0.20/0.41 % (5219)------------------------------
% 0.20/0.42 % (5210)First to succeed.
% 0.20/0.42 % (5218)Instruction limit reached!
% 0.20/0.42 % (5218)------------------------------
% 0.20/0.42 % (5218)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (5218)Termination reason: Unknown
% 0.20/0.42 % (5218)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (5218)Memory used [KB]: 1535
% 0.20/0.42 % (5218)Time elapsed: 0.010 s
% 0.20/0.42 % (5218)Instructions burned: 17 (million)
% 0.20/0.42 % (5218)------------------------------
% 0.20/0.42 % (5218)------------------------------
% 0.20/0.42 % (5222)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42 % (5221)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.42 % (5210)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% 0.20/0.42 thf(func_def_0, type, in: $i > $i > $o).
% 0.20/0.42 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.20/0.42 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.20/0.42 thf(func_def_8, type, powerset: $i > $i).
% 0.20/0.42 thf(func_def_10, type, setunion: $i > $i).
% 0.20/0.42 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.20/0.42 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.20/0.42 thf(func_def_26, type, prop2set: $o > $i).
% 0.20/0.42 thf(func_def_36, type, nonempty: $i > $o).
% 0.20/0.42 thf(func_def_69, type, set2prop: $i > $o).
% 0.20/0.42 thf(func_def_88, type, subset: $i > $i > $o).
% 0.20/0.42 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.20/0.42 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.20/0.42 thf(func_def_114, type, binunion: $i > $i > $i).
% 0.20/0.42 thf(func_def_122, type, binintersect: $i > $i > $i).
% 0.20/0.42 thf(func_def_135, type, regular: $i > $o).
% 0.20/0.42 thf(func_def_136, type, setminus: $i > $i > $i).
% 0.20/0.42 thf(func_def_147, type, symdiff: $i > $i > $i).
% 0.20/0.42 thf(func_def_153, type, iskpair: $i > $o).
% 0.20/0.42 thf(func_def_167, type, sP1: $i > $i > $i > $o > $o).
% 0.20/0.42 thf(func_def_168, type, sP2: $i > $i > $o).
% 0.20/0.42 thf(func_def_169, type, sP3: $i > $o).
% 0.20/0.42 thf(func_def_170, type, sP4: $i > $i > $o).
% 0.20/0.42 thf(func_def_171, type, sP5: $i > $i > $o).
% 0.20/0.42 thf(func_def_182, type, sK16: ($i > $o) > $i).
% 0.20/0.42 thf(func_def_183, type, sK17: $i > $o).
% 0.20/0.42 thf(func_def_184, type, sK18: $i > $i).
% 0.20/0.42 thf(func_def_185, type, sK19: $i > $o).
% 0.20/0.42 thf(func_def_188, type, sK22: $i > ($i > $o) > $i).
% 0.20/0.42 thf(func_def_193, type, sK27: ($i > $o) > ($i > $o) > $i).
% 0.20/0.42 thf(func_def_194, type, sK28: ($i > $o) > ($i > $o) > $i).
% 0.20/0.42 thf(func_def_195, type, sK29: $i > $o).
% 0.20/0.42 thf(func_def_196, type, sK30: $i > $o).
% 0.20/0.42 thf(func_def_204, type, sK38: ($i > $o) > $i).
% 0.20/0.42 thf(func_def_205, type, sK39: $i > $o).
% 0.20/0.42 thf(func_def_208, type, sK42: $i > $i > $o).
% 0.20/0.42 thf(func_def_210, type, sK44: $i > $i).
% 0.20/0.42 thf(func_def_211, type, sK45: $i > $i).
% 0.20/0.42 thf(func_def_212, type, sK46: $i > ($i > $i > $o) > $i).
% 0.20/0.42 thf(func_def_213, type, sK47: $i > ($i > $i > $o) > $i).
% 0.20/0.42 thf(func_def_214, type, sK48: $i > $i > ($i > $i > $o) > $i).
% 0.20/0.42 thf(func_def_220, type, sK54: $i > $o).
% 0.20/0.42 thf(func_def_223, type, sK57: $i > ($i > $o) > $i).
% 0.20/0.42 thf(func_def_224, type, sK58: $i > $o).
% 0.20/0.42 thf(func_def_230, type, sK64: $i > $o).
% 0.20/0.42 thf(func_def_231, type, sK65: $i > $o).
% 0.20/0.42 thf(func_def_232, type, sK66: ($i > $o) > ($i > $o) > $i).
% 0.20/0.42 thf(func_def_233, type, sK67: ($i > $o) > ($i > $o) > $i).
% 0.20/0.42 thf(func_def_237, type, sK71: $i > $o).
% 0.20/0.42 thf(func_def_257, type, sK91: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.20/0.42 thf(func_def_258, type, sK92: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.20/0.42 thf(func_def_261, type, sK95: $i > $o).
% 0.20/0.42 thf(func_def_262, type, sK96: $i > $o).
% 0.20/0.42 thf(func_def_275, type, sK109: $i > $o).
% 0.20/0.42 thf(func_def_278, type, sK112: $i > ($i > $o) > $i).
% 0.20/0.42 thf(func_def_282, type, sK116: $i > $o).
% 0.20/0.42 thf(func_def_287, type, sK121: $i > $o).
% 0.20/0.42 thf(func_def_289, type, sK123: $i > ($i > $o) > $i).
% 0.20/0.42 thf(func_def_290, type, sK124: $i > $i > $i).
% 0.20/0.42 thf(func_def_301, type, sK135: $i > ($i > $o) > $i).
% 0.20/0.42 thf(func_def_302, type, sK136: $i > $o).
% 0.20/0.42 thf(func_def_311, type, sK145: $i > $o).
% 0.20/0.42 thf(func_def_316, type, sK150: $i > $i > $i).
% 0.20/0.42 thf(func_def_320, type, sK154: $i > $o).
% 0.20/0.42 thf(func_def_322, type, sK156: ($i > $o) > $i).
% 0.20/0.42 thf(func_def_323, type, sK157: ($i > $o) > $i).
% 0.20/0.42 thf(func_def_325, type, sK159: $i > $o).
% 0.20/0.42 thf(func_def_327, type, sK161: $i > $o).
% 0.20/0.42 thf(func_def_329, type, sK163: $i > $i > $i).
% 0.20/0.42 thf(func_def_335, type, sK169: ($i > $o) > $i > $i).
% 0.20/0.42 thf(func_def_337, type, sK171: $i > $o).
% 0.20/0.42 thf(func_def_339, type, sK173: $i > $i > $i).
% 0.20/0.42 thf(func_def_351, type, sK185: $i > $i).
% 0.20/0.42 thf(func_def_366, type, sK200: $i > $i > $i).
% 0.20/0.42 thf(func_def_375, type, sK209: $i > $i).
% 0.20/0.42 thf(func_def_392, type, sK226: $i > ($i > $o) > $i).
% 0.20/0.42 thf(func_def_393, type, sK227: $i > $o).
% 0.20/0.42 thf(func_def_411, type, sK245: $o > $i > $i > $i).
% 0.20/0.42 thf(func_def_412, type, sK246: $i > $o).
% 0.20/0.42 thf(func_def_416, type, sK250: $i > $o).
% 0.20/0.42 thf(func_def_419, type, sK253: $i > $i > $i).
% 0.20/0.42 thf(func_def_423, type, sK257: $i > $o).
% 0.20/0.42 thf(func_def_424, type, sK258: $i > $o).
% 0.20/0.42 thf(func_def_435, type, sK269: $i > $o).
% 0.20/0.42 thf(func_def_438, type, sK272: $i > $i > $i).
% 0.20/0.42 thf(func_def_446, type, sK280: $i > $i).
% 0.20/0.42 thf(func_def_454, type, sK288: $i > $o).
% 0.20/0.42 thf(func_def_461, type, sK295: $i > ($i > $o) > $i).
% 0.20/0.42 thf(func_def_462, type, sK296: $i > $o).
% 0.20/0.42 thf(func_def_481, type, sK315: $i > $i > $i).
% 0.20/0.42 thf(func_def_482, type, sK316: $i > $i > $i).
% 0.20/0.42 thf(func_def_483, type, sK317: $i > $i > $i).
% 0.20/0.42 thf(func_def_484, type, sK318: $i > $i > $i).
% 0.20/0.42 thf(func_def_485, type, sK319: $i > $i > $i).
% 0.20/0.42 thf(func_def_486, type, sK320: $i > $i > $i > $i).
% 0.20/0.42 thf(func_def_487, type, sK321: $i > $i).
% 0.20/0.42 thf(func_def_488, type, sK322: $i > $i).
% 0.20/0.42 thf(func_def_489, type, sK323: $i > $i).
% 0.20/0.42 thf(func_def_490, type, sK324: $i > $i).
% 0.20/0.42 thf(func_def_491, type, sK325: $i > $i > $i).
% 0.20/0.42 thf(func_def_492, type, sK326: $i > $i > $i > $i).
% 0.20/0.42 thf(func_def_493, type, sK327: $i > $i > $i > $i).
% 0.20/0.42 thf(func_def_494, type, sK328: $i > $i > $i).
% 0.20/0.42 thf(func_def_495, type, sK329: $i > $i > $i).
% 0.20/0.42 thf(func_def_496, type, sK330: $i > $i).
% 0.20/0.42 thf(func_def_498, type, sK332: $i > $i).
% 0.20/0.42 thf(func_def_499, type, sK333: $i > $i).
% 0.20/0.42 thf(func_def_500, type, sK334: ($i > $o) > $i).
% 0.20/0.42 thf(func_def_501, type, sK335: $i > $o).
% 0.20/0.42 thf(func_def_502, type, sK336: $i > $i).
% 0.20/0.42 thf(func_def_506, type, sK340: $i > $i).
% 0.20/0.42 thf(func_def_512, type, sK346: $i > $i).
% 0.20/0.42 thf(func_def_513, type, sK347: $i > $i).
% 0.20/0.42 thf(func_def_514, type, sK348: $i > $i).
% 0.20/0.42 thf(func_def_521, type, sK355: $i > $i > $i).
% 0.20/0.42 thf(func_def_522, type, sK356: $i > $i > $i).
% 0.20/0.42 thf(func_def_531, type, ph365: !>[X0: $tType]:(X0)).
% 0.20/0.42 thf(f2562,plain,(
% 0.20/0.42 $false),
% 0.20/0.42 inference(subsumption_resolution,[],[f1420,f2544])).
% 0.20/0.42 thf(f2544,plain,(
% 0.20/0.42 ( ! [X2 : $i,X3 : $i] : (((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset))) = $true)) )),
% 0.20/0.42 inference(trivial_inequality_removal,[],[f1950])).
% 0.20/0.42 thf(f1950,plain,(
% 0.20/0.42 ( ! [X2 : $i,X3 : $i] : (((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset))) = $true) | ($true != $true)) )),
% 0.20/0.42 inference(definition_unfolding,[],[f1317,f1425])).
% 0.20/0.42 thf(f1425,plain,(
% 0.20/0.42 (upairset2IR = $true)),
% 0.20/0.42 inference(cnf_transformation,[],[f738])).
% 0.20/0.42 thf(f738,plain,(
% 0.20/0.42 (disjointsetsI1 = $true) & (powersetE1 = $true) & (binunionIR = $true) & (symdiffIneg1 = $true) & (binunionEcases = $true) & (setminusI = $true) & (nonemptyE1 = $true) & (exuI3 = $true) & (setadjoinSub = $true) & (quantDeMorgan4 = $true) & (emptyI = $true) & (prop2set2propI = $true) & (setbeta = $true) & (binintersectEL = $true) & (setextsub = $true) & (subsetE = $true) & (setminusIRneg = $true) & (symdiffE = $true) & (emptysetAx = $true) & (exu__Cong = $true) & (quantDeMorgan2 = $true) & (setext = $true) & (upairsetE = $true) & (binintersectSubset2 = $true) & (quantDeMorgan3 = $true) & (sepInPowerset = $true) & (upairset2IR = $true) & (notequalI1 = $true) & (subsetI2 = $true) & (setadjoinE = $true) & (in__Cong = $true) & ((in @ sK89 @ (setadjoin @ sK88 @ (setadjoin @ sK89 @ emptyset))) != $true) & (notinsingleton = $true) & (quantDeMorgan1 = $true) & (binunionIL = $true) & (notsubsetI = $true) & (upairsetIR = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (emptyE1 = $true) & (setunionI = $true) & (exuE1 = $true) & (omega__Cong = $true) & (dsetconstrI = $true) & (subsetI1 = $true) & (binunionRsub = $true) & (dsetconstrER = $true) & (emptyinPowerset = $true) & (notinemptyset = $true) & (descr__Cong = $true) & (exuE3u = $true) & (binintersectRsub = $true) & (exuI1 = $true) & (powersetE = $true) & (dsetconstrEL = $true) & (omegaSAx = $true) & (subset2powerset = $true) & (sepSubset = $true) & (setminusLsub = $true) & (subsetemptysetimpeq = $true) & (setadjoinIR = $true) & (subsetRefl = $true) & (setunionE = $true) & (nonemptyI = $true) & (prop2setI = $true) & (notdexE = $true) & (setextAx = $true) & (binintersectI = $true) & (exuE2 = $true) & (uniqinunit = $true) & (notequalI2 = $true) & (binintersectLsub = $true) & (binunionLsub = $true) & (emptyInPowerset = $true) & (emptysetE = $true) & (setoftrueEq = $true) & (eqinunit = $true) & (exuI2 = $true) & (exuEu = $true) & (inCongP = $true) & (setadjoin__Cong = $true) & (binintersectER = $true) & (emptysetimpfalse = $true) & (noeltsimpempty = $true) & (nonemptyImpWitness = $true) & (eqimpsubset1 = $true) & (powersetI = $true) & (powersetsubset = $true) & (vacuousDall = $true) & (setadjoinAx = $true) & (inPowerset = $true) & (powerset__Cong = $true) & (setminusSubset1 = $true) & (powersetI1 = $true) & (subsetE2 = $true) & (emptyinunitempty = $true) & (eqimpsubset2 = $true) & (bs114d = $true) & (omegaIndAx = $true) & (subsetTrans = $true) & (setminusER = $true) & (setminusILneg = $true) & (notdallE = $true) & (exuE3e = $true) & (setminusERneg = $true) & (setadjoinIL = $true) & (binintersectSubset5 = $true) & (nonemptyI1 = $true) & (dsetconstr__Cong = $true) & (setadjoinSub2 = $true) & (upairsetIL = $true) & (setadjoinOr = $true) & (powersetAx = $true) & (symdiffI1 = $true) & (prop2setE = $true) & (symdiffI2 = $true) & (setminusELneg = $true) & (setminusEL = $true) & (binintersectSubset1 = $true) & (setminusSubset2 = $true) & (singletonsswitch = $true) & (descrp = $true) & (subPowSU = $true) & (symdiffIneg2 = $true) & (emptyset__Cong = $true) & (binintersectSubset3 = $true) & (emptysetsubset = $true) & (setunionAx = $true) & (replAx = $true) & (binintersectSubset4 = $true) & (setunion__Cong = $true) & (binunionE = $true) & (omega0Ax = $true)),
% 0.20/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK88,sK89])],[f581,f737])).
% 0.20/0.42 thf(f737,plain,(
% 0.20/0.42 ? [X0,X1] : ($true != (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) => ((in @ sK89 @ (setadjoin @ sK88 @ (setadjoin @ sK89 @ emptyset))) != $true)),
% 0.20/0.42 introduced(choice_axiom,[])).
% 0.20/0.42 thf(f581,plain,(
% 0.20/0.42 (disjointsetsI1 = $true) & (powersetE1 = $true) & (binunionIR = $true) & (symdiffIneg1 = $true) & (binunionEcases = $true) & (setminusI = $true) & (nonemptyE1 = $true) & (exuI3 = $true) & (setadjoinSub = $true) & (quantDeMorgan4 = $true) & (emptyI = $true) & (prop2set2propI = $true) & (setbeta = $true) & (binintersectEL = $true) & (setextsub = $true) & (subsetE = $true) & (setminusIRneg = $true) & (symdiffE = $true) & (emptysetAx = $true) & (exu__Cong = $true) & (quantDeMorgan2 = $true) & (setext = $true) & (upairsetE = $true) & (binintersectSubset2 = $true) & (quantDeMorgan3 = $true) & (sepInPowerset = $true) & (upairset2IR = $true) & (notequalI1 = $true) & (subsetI2 = $true) & (setadjoinE = $true) & (in__Cong = $true) & ? [X0,X1] : ($true != (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) & (notinsingleton = $true) & (quantDeMorgan1 = $true) & (binunionIL = $true) & (notsubsetI = $true) & (upairsetIR = $true) & (wellorderingAx = $true) & (foundationAx = $true) & (emptyE1 = $true) & (setunionI = $true) & (exuE1 = $true) & (omega__Cong = $true) & (dsetconstrI = $true) & (subsetI1 = $true) & (binunionRsub = $true) & (dsetconstrER = $true) & (emptyinPowerset = $true) & (notinemptyset = $true) & (descr__Cong = $true) & (exuE3u = $true) & (binintersectRsub = $true) & (exuI1 = $true) & (powersetE = $true) & (dsetconstrEL = $true) & (omegaSAx = $true) & (subset2powerset = $true) & (sepSubset = $true) & (setminusLsub = $true) & (subsetemptysetimpeq = $true) & (setadjoinIR = $true) & (subsetRefl = $true) & (setunionE = $true) & (nonemptyI = $true) & (prop2setI = $true) & (notdexE = $true) & (setextAx = $true) & (binintersectI = $true) & (exuE2 = $true) & (uniqinunit = $true) & (notequalI2 = $true) & (binintersectLsub = $true) & (binunionLsub = $true) & (emptyInPowerset = $true) & (emptysetE = $true) & (setoftrueEq = $true) & (eqinunit = $true) & (exuI2 = $true) & (exuEu = $true) & (inCongP = $true) & (setadjoin__Cong = $true) & (binintersectER = $true) & (emptysetimpfalse = $true) & (noeltsimpempty = $true) & (nonemptyImpWitness = $true) & (eqimpsubset1 = $true) & (powersetI = $true) & (powersetsubset = $true) & (vacuousDall = $true) & (setadjoinAx = $true) & (inPowerset = $true) & (powerset__Cong = $true) & (setminusSubset1 = $true) & (powersetI1 = $true) & (subsetE2 = $true) & (emptyinunitempty = $true) & (eqimpsubset2 = $true) & (bs114d = $true) & (omegaIndAx = $true) & (subsetTrans = $true) & (setminusER = $true) & (setminusILneg = $true) & (notdallE = $true) & (exuE3e = $true) & (setminusERneg = $true) & (setadjoinIL = $true) & (binintersectSubset5 = $true) & (nonemptyI1 = $true) & (dsetconstr__Cong = $true) & (setadjoinSub2 = $true) & (upairsetIL = $true) & (setadjoinOr = $true) & (powersetAx = $true) & (symdiffI1 = $true) & (prop2setE = $true) & (symdiffI2 = $true) & (setminusELneg = $true) & (setminusEL = $true) & (binintersectSubset1 = $true) & (setminusSubset2 = $true) & (singletonsswitch = $true) & (descrp = $true) & (subPowSU = $true) & (symdiffIneg2 = $true) & (emptyset__Cong = $true) & (binintersectSubset3 = $true) & (emptysetsubset = $true) & (setunionAx = $true) & (replAx = $true) & (binintersectSubset4 = $true) & (setunion__Cong = $true) & (binunionE = $true) & (omega0Ax = $true)),
% 0.20/0.42 inference(flattening,[],[f580])).
% 0.20/0.42 thf(f580,plain,(
% 0.20/0.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : ($true != (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) & (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)),
% 0.20/0.42 inference(ennf_transformation,[],[f398])).
% 0.20/0.42 thf(f398,plain,(
% 0.20/0.42 ~((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 = $true) => ! [X0,X1] : ($true = (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.20/0.42 inference(fool_elimination,[],[f397])).
% 0.20/0.42 thf(f397,plain,(
% 0.20/0.42 ~(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 => ! [X0,X1] : (in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.20/0.42 inference(rectify,[],[f137])).
% 0.20/0.42 thf(f137,negated_conjecture,(
% 0.20/0.42 ~(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 => ! [X1,X2] : (in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.20/0.42 inference(negated_conjecture,[],[f136])).
% 0.20/0.42 thf(f136,conjecture,(
% 0.20/0.42 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 => ! [X1,X2] : (in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',secondinupair)).
% 0.20/0.42 thf(f1317,plain,(
% 0.20/0.42 ( ! [X2 : $i,X3 : $i] : (((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset))) = $true) | (upairset2IR != $true)) )),
% 0.20/0.42 inference(cnf_transformation,[],[f736])).
% 0.20/0.42 thf(f736,plain,(
% 0.20/0.42 ((upairset2IR = $true) | ((in @ sK86 @ (setadjoin @ sK87 @ (setadjoin @ sK86 @ emptyset))) != $true)) & (! [X2,X3] : ((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset))) = $true) | (upairset2IR != $true))),
% 0.20/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK86,sK87])],[f734,f735])).
% 0.20/0.42 thf(f735,plain,(
% 0.20/0.42 ? [X0,X1] : ($true != (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) => ((in @ sK86 @ (setadjoin @ sK87 @ (setadjoin @ sK86 @ emptyset))) != $true)),
% 0.20/0.42 introduced(choice_axiom,[])).
% 0.20/0.42 thf(f734,plain,(
% 0.20/0.42 ((upairset2IR = $true) | ? [X0,X1] : ($true != (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))) & (! [X2,X3] : ((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset))) = $true) | (upairset2IR != $true))),
% 0.20/0.42 inference(rectify,[],[f733])).
% 0.20/0.42 thf(f733,plain,(
% 0.20/0.42 ((upairset2IR = $true) | ? [X0,X1] : ($true != (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))) & (! [X0,X1] : ($true = (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) | (upairset2IR != $true))),
% 0.20/0.42 inference(nnf_transformation,[],[f370])).
% 0.20/0.42 thf(f370,plain,(
% 0.20/0.42 (upairset2IR = $true) <=> ! [X0,X1] : ($true = (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))))),
% 0.20/0.42 inference(fool_elimination,[],[f369])).
% 0.20/0.42 thf(f369,plain,(
% 0.20/0.42 (! [X0,X1] : (in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset))) = upairset2IR)),
% 0.20/0.42 inference(rectify,[],[f102])).
% 0.20/0.42 thf(f102,axiom,(
% 0.20/0.42 (! [X2,X1] : (in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))) = upairset2IR)),
% 0.20/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairset2IR)).
% 0.20/0.42 thf(f1420,plain,(
% 0.20/0.42 ((in @ sK89 @ (setadjoin @ sK88 @ (setadjoin @ sK89 @ emptyset))) != $true)),
% 0.20/0.42 inference(cnf_transformation,[],[f738])).
% 0.20/0.42 % SZS output end Proof for theBenchmark
% 0.20/0.42 % (5210)------------------------------
% 0.20/0.42 % (5210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (5210)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (5210)Memory used [KB]: 7291
% 0.20/0.42 % (5210)Time elapsed: 0.048 s
% 0.20/0.42 % (5210)Instructions burned: 94 (million)
% 0.20/0.42 % (5210)------------------------------
% 0.20/0.42 % (5210)------------------------------
% 0.20/0.42 % (5204)Success in time 0.072 s
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------