TSTP Solution File: SET004^4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET004^4 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 03:07:34 EDT 2024
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET004^4 : TPTP v8.2.0. Released v8.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 20 11:08:22 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 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/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % (24808)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)
% 0.11/0.35 % (24807)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.35 % (24802)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)
% 0.11/0.35 % (24803)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)
% 0.11/0.35 % (24804)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.35 % (24801)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.35 % (24805)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)
% 0.11/0.35 % (24808)Instruction limit reached!
% 0.11/0.35 % (24808)------------------------------
% 0.11/0.35 % (24808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (24808)Termination reason: Unknown
% 0.11/0.35 % (24808)Termination phase: shuffling
% 0.11/0.35
% 0.11/0.35 % (24808)Memory used [KB]: 1023
% 0.11/0.35 % (24808)Time elapsed: 0.003 s
% 0.11/0.35 % (24808)Instructions burned: 3 (million)
% 0.11/0.35 % (24808)------------------------------
% 0.11/0.35 % (24808)------------------------------
% 0.17/0.35 % (24804)Instruction limit reached!
% 0.17/0.35 % (24804)------------------------------
% 0.17/0.35 % (24804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (24804)Termination reason: Unknown
% 0.17/0.35 % (24804)Termination phase: shuffling
% 0.17/0.35
% 0.17/0.35 % (24804)Memory used [KB]: 1023
% 0.17/0.35 % (24804)Time elapsed: 0.003 s
% 0.17/0.35 % (24804)Instructions burned: 2 (million)
% 0.17/0.35 % (24804)------------------------------
% 0.17/0.35 % (24804)------------------------------
% 0.17/0.35 % (24805)Instruction limit reached!
% 0.17/0.35 % (24805)------------------------------
% 0.17/0.35 % (24805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (24805)Termination reason: Unknown
% 0.17/0.35 % (24805)Termination phase: shuffling
% 0.17/0.35
% 0.17/0.35 % (24805)Memory used [KB]: 1023
% 0.17/0.35 % (24805)Time elapsed: 0.003 s
% 0.17/0.35 % (24805)Instructions burned: 2 (million)
% 0.17/0.35 % (24805)------------------------------
% 0.17/0.35 % (24805)------------------------------
% 0.17/0.35 % (24806)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)
% 0.17/0.35 % (24802)Instruction limit reached!
% 0.17/0.35 % (24802)------------------------------
% 0.17/0.35 % (24802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35 % (24802)Termination reason: Unknown
% 0.17/0.35 % (24802)Termination phase: shuffling
% 0.17/0.35
% 0.17/0.35 % (24802)Memory used [KB]: 1023
% 0.17/0.35 % (24802)Time elapsed: 0.004 s
% 0.17/0.35 % (24802)Instructions burned: 4 (million)
% 0.17/0.35 % (24802)------------------------------
% 0.17/0.35 % (24802)------------------------------
% 0.17/0.35 % (24807)Instruction limit reached!
% 0.17/0.35 % (24807)------------------------------
% 0.17/0.35 % (24807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (24807)Termination reason: Unknown
% 0.17/0.36 % (24807)Termination phase: Property scanning
% 0.17/0.36
% 0.17/0.36 % (24807)Memory used [KB]: 1151
% 0.17/0.36 % (24807)Time elapsed: 0.010 s
% 0.17/0.36 % (24807)Instructions burned: 19 (million)
% 0.17/0.36 % (24807)------------------------------
% 0.17/0.36 % (24807)------------------------------
% 0.17/0.36 % (24806)Refutation not found, incomplete strategy
% 0.17/0.36 % (24806)------------------------------
% 0.17/0.36 % (24806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (24806)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.36
% 0.17/0.36
% 0.17/0.36 % (24806)Memory used [KB]: 5628
% 0.17/0.36 % (24806)Time elapsed: 0.009 s
% 0.17/0.36 % (24806)Instructions burned: 14 (million)
% 0.17/0.36 % (24806)------------------------------
% 0.17/0.36 % (24806)------------------------------
% 0.17/0.36 % (24803)Instruction limit reached!
% 0.17/0.36 % (24803)------------------------------
% 0.17/0.36 % (24803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.36 % (24803)Termination reason: Unknown
% 0.17/0.36 % (24803)Termination phase: Saturation
% 0.17/0.36
% 0.17/0.36 % (24803)Memory used [KB]: 5756
% 0.17/0.36 % (24803)Time elapsed: 0.015 s
% 0.17/0.36 % (24803)Instructions burned: 27 (million)
% 0.17/0.36 % (24803)------------------------------
% 0.17/0.36 % (24803)------------------------------
% 0.17/0.36 % (24809)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)
% 0.17/0.36 % (24810)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)
% 0.17/0.36 % (24811)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)
% 0.17/0.36 % (24812)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)
% 0.17/0.37 % (24811)Instruction limit reached!
% 0.17/0.37 % (24811)------------------------------
% 0.17/0.37 % (24811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (24811)Termination reason: Unknown
% 0.17/0.37 % (24811)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (24811)Memory used [KB]: 1023
% 0.17/0.37 % (24811)Time elapsed: 0.003 s
% 0.17/0.37 % (24811)Instructions burned: 3 (million)
% 0.17/0.37 % (24811)------------------------------
% 0.17/0.37 % (24811)------------------------------
% 0.17/0.37 % (24810)Instruction limit reached!
% 0.17/0.37 % (24810)------------------------------
% 0.17/0.37 % (24810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (24810)Termination reason: Unknown
% 0.17/0.37 % (24810)Termination phase: Function definition elimination
% 0.17/0.37
% 0.17/0.37 % (24810)Memory used [KB]: 1151
% 0.17/0.37 % (24810)Time elapsed: 0.009 s
% 0.17/0.37 % (24810)Instructions burned: 15 (million)
% 0.17/0.37 % (24810)------------------------------
% 0.17/0.37 % (24810)------------------------------
% 0.17/0.37 % (24813)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.37 % (24814)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.37 % (24813)Instruction limit reached!
% 0.17/0.37 % (24813)------------------------------
% 0.17/0.37 % (24813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.37 % (24813)Termination reason: Unknown
% 0.17/0.37 % (24813)Termination phase: Property scanning
% 0.17/0.37
% 0.17/0.37 % (24813)Memory used [KB]: 1151
% 0.17/0.37 % (24813)Time elapsed: 0.005 s
% 0.17/0.37 % (24813)Instructions burned: 8 (million)
% 0.17/0.37 % (24813)------------------------------
% 0.17/0.37 % (24813)------------------------------
% 0.17/0.38 % (24815)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)
% 0.17/0.38 % (24815)Instruction limit reached!
% 0.17/0.38 % (24815)------------------------------
% 0.17/0.38 % (24815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (24815)Termination reason: Unknown
% 0.17/0.38 % (24815)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (24815)Memory used [KB]: 1023
% 0.17/0.38 % (24815)Time elapsed: 0.004 s
% 0.17/0.38 % (24815)Instructions burned: 4 (million)
% 0.17/0.38 % (24815)------------------------------
% 0.17/0.38 % (24815)------------------------------
% 0.17/0.38 % (24816)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)
% 0.17/0.38 % (24814)Instruction limit reached!
% 0.17/0.38 % (24814)------------------------------
% 0.17/0.38 % (24814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (24814)Termination reason: Unknown
% 0.17/0.38 % (24814)Termination phase: Property scanning
% 0.17/0.38
% 0.17/0.38 % (24814)Memory used [KB]: 1151
% 0.17/0.38 % (24814)Time elapsed: 0.010 s
% 0.17/0.38 % (24814)Instructions burned: 17 (million)
% 0.17/0.38 % (24814)------------------------------
% 0.17/0.38 % (24814)------------------------------
% 0.17/0.38 % (24809)Instruction limit reached!
% 0.17/0.38 % (24809)------------------------------
% 0.17/0.38 % (24809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (24809)Termination reason: Unknown
% 0.17/0.38 % (24809)Termination phase: Saturation
% 0.17/0.38
% 0.17/0.38 % (24809)Memory used [KB]: 5884
% 0.17/0.38 % (24809)Time elapsed: 0.019 s
% 0.17/0.38 % (24809)Instructions burned: 38 (million)
% 0.17/0.38 % (24809)------------------------------
% 0.17/0.38 % (24809)------------------------------
% 0.17/0.38 % (24816)Instruction limit reached!
% 0.17/0.38 % (24816)------------------------------
% 0.17/0.38 % (24816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.38 % (24816)Termination reason: Unknown
% 0.17/0.38 % (24816)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (24816)Memory used [KB]: 1023
% 0.17/0.38 % (24816)Time elapsed: 0.004 s
% 0.17/0.38 % (24816)Instructions burned: 4 (million)
% 0.17/0.38 % (24816)------------------------------
% 0.17/0.38 % (24816)------------------------------
% 0.17/0.38 % (24817)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)
% 0.17/0.39 % (24817)Instruction limit reached!
% 0.17/0.39 % (24817)------------------------------
% 0.17/0.39 % (24817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (24817)Termination reason: Unknown
% 0.17/0.39 % (24817)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (24817)Memory used [KB]: 1151
% 0.17/0.39 % (24817)Time elapsed: 0.005 s
% 0.17/0.39 % (24817)Instructions burned: 7 (million)
% 0.17/0.39 % (24817)------------------------------
% 0.17/0.39 % (24817)------------------------------
% 0.17/0.39 % (24818)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)
% 0.17/0.39 % (24818)Instruction limit reached!
% 0.17/0.39 % (24818)------------------------------
% 0.17/0.39 % (24818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (24818)Termination reason: Unknown
% 0.17/0.39 % (24818)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (24818)Memory used [KB]: 1023
% 0.17/0.39 % (24818)Time elapsed: 0.003 s
% 0.17/0.39 % (24818)Instructions burned: 4 (million)
% 0.17/0.39 % (24818)------------------------------
% 0.17/0.39 % (24818)------------------------------
% 0.17/0.39 % (24819)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.39 % (24819)Instruction limit reached!
% 0.17/0.39 % (24819)------------------------------
% 0.17/0.39 % (24819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.39 % (24819)Termination reason: Unknown
% 0.17/0.39 % (24819)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (24819)Memory used [KB]: 1023
% 0.17/0.39 % (24819)Time elapsed: 0.004 s
% 0.17/0.39 % (24819)Instructions burned: 5 (million)
% 0.17/0.39 % (24819)------------------------------
% 0.17/0.39 % (24819)------------------------------
% 0.17/0.39 % (24820)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.40 % (24822)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.40 % (24821)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.17/0.40 % (24822)Instruction limit reached!
% 0.17/0.40 % (24822)------------------------------
% 0.17/0.40 % (24822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (24822)Termination reason: Unknown
% 0.17/0.40 % (24822)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (24822)Memory used [KB]: 1151
% 0.17/0.40 % (24822)Time elapsed: 0.005 s
% 0.17/0.40 % (24822)Instructions burned: 7 (million)
% 0.17/0.40 % (24822)------------------------------
% 0.17/0.40 % (24822)------------------------------
% 0.17/0.40 % (24823)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.17/0.40 % (24824)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.17/0.41 % (24820)Instruction limit reached!
% 0.17/0.41 % (24820)------------------------------
% 0.17/0.41 % (24820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (24820)Termination reason: Unknown
% 0.17/0.41 % (24820)Termination phase: Saturation
% 0.17/0.41
% 0.17/0.41 % (24820)Memory used [KB]: 5628
% 0.17/0.41 % (24820)Time elapsed: 0.013 s
% 0.17/0.41 % (24820)Instructions burned: 18 (million)
% 0.17/0.41 % (24820)------------------------------
% 0.17/0.41 % (24820)------------------------------
% 0.17/0.41 % (24825)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.17/0.41 % (24823)Refutation not found, incomplete strategy
% 0.17/0.41 % (24823)------------------------------
% 0.17/0.41 % (24823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (24823)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.41
% 0.17/0.41
% 0.17/0.41 % (24823)Memory used [KB]: 5628
% 0.17/0.41 % (24823)Time elapsed: 0.010 s
% 0.17/0.41 % (24823)Instructions burned: 17 (million)
% 0.17/0.41 % (24823)------------------------------
% 0.17/0.41 % (24823)------------------------------
% 0.17/0.41 % (24825)Instruction limit reached!
% 0.17/0.41 % (24825)------------------------------
% 0.17/0.41 % (24825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (24825)Termination reason: Unknown
% 0.17/0.41 % (24825)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (24825)Memory used [KB]: 1151
% 0.17/0.41 % (24825)Time elapsed: 0.005 s
% 0.17/0.41 % (24825)Instructions burned: 6 (million)
% 0.17/0.41 % (24825)------------------------------
% 0.17/0.41 % (24825)------------------------------
% 0.17/0.41 % (24826)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.41 % (24824)Instruction limit reached!
% 0.17/0.41 % (24824)------------------------------
% 0.17/0.41 % (24824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (24824)Termination reason: Unknown
% 0.17/0.41 % (24824)Termination phase: Property scanning
% 0.17/0.41
% 0.17/0.41 % (24824)Memory used [KB]: 1151
% 0.17/0.41 % (24824)Time elapsed: 0.011 s
% 0.17/0.41 % (24824)Instructions burned: 23 (million)
% 0.17/0.41 % (24824)------------------------------
% 0.17/0.41 % (24824)------------------------------
% 0.17/0.42 % (24826)Instruction limit reached!
% 0.17/0.42 % (24826)------------------------------
% 0.17/0.42 % (24826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (24826)Termination reason: Unknown
% 0.17/0.42 % (24826)Termination phase: shuffling
% 0.17/0.42
% 0.17/0.42 % (24826)Memory used [KB]: 1151
% 0.17/0.42 % (24826)Time elapsed: 0.005 s
% 0.17/0.42 % (24826)Instructions burned: 7 (million)
% 0.17/0.42 % (24826)------------------------------
% 0.17/0.42 % (24826)------------------------------
% 0.17/0.43 % (24830)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.17/0.43 % (24828)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.17/0.43 % (24829)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.17/0.43 % (24831)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.17/0.43 % (24827)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.17/0.43 % (24821)Refutation not found, incomplete strategy
% 0.17/0.43 % (24821)------------------------------
% 0.17/0.43 % (24821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (24821)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.43
% 0.17/0.43
% 0.17/0.43 % (24821)Memory used [KB]: 6268
% 0.17/0.43 % (24821)Time elapsed: 0.036 s
% 0.17/0.43 % (24821)Instructions burned: 92 (million)
% 0.17/0.43 % (24821)------------------------------
% 0.17/0.43 % (24821)------------------------------
% 0.17/0.44 % (24829)Refutation not found, incomplete strategy
% 0.17/0.44 % (24829)------------------------------
% 0.17/0.44 % (24829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (24829)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.44
% 0.17/0.44
% 0.17/0.44 % (24829)Memory used [KB]: 5628
% 0.17/0.44 % (24829)Time elapsed: 0.012 s
% 0.17/0.44 % (24829)Instructions burned: 17 (million)
% 0.17/0.44 % (24829)------------------------------
% 0.17/0.44 % (24829)------------------------------
% 0.17/0.44 % (24831)Instruction limit reached!
% 0.17/0.44 % (24831)------------------------------
% 0.17/0.44 % (24831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (24831)Termination reason: Unknown
% 0.17/0.44 % (24831)Termination phase: Property scanning
% 0.17/0.44
% 0.17/0.44 % (24831)Memory used [KB]: 1151
% 0.17/0.44 % (24832)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.17/0.44 % (24831)Time elapsed: 0.011 s
% 0.17/0.44 % (24831)Instructions burned: 18 (million)
% 0.17/0.44 % (24831)------------------------------
% 0.17/0.44 % (24831)------------------------------
% 0.17/0.44 % (24832)Instruction limit reached!
% 0.17/0.44 % (24832)------------------------------
% 0.17/0.44 % (24832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (24832)Termination reason: Unknown
% 0.17/0.44 % (24832)Termination phase: shuffling
% 0.17/0.44
% 0.17/0.44 % (24832)Memory used [KB]: 1023
% 0.17/0.44 % (24832)Time elapsed: 0.002 s
% 0.17/0.44 % (24832)Instructions burned: 3 (million)
% 0.17/0.44 % (24832)------------------------------
% 0.17/0.44 % (24832)------------------------------
% 0.17/0.45 % (24835)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.17/0.45 % (24828)Refutation not found, incomplete strategy
% 0.17/0.45 % (24828)------------------------------
% 0.17/0.45 % (24828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.45 % (24828)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.45
% 0.17/0.45
% 0.17/0.45 % (24828)Memory used [KB]: 5756
% 0.17/0.45 % (24828)Time elapsed: 0.052 s
% 0.17/0.45 % (24828)Instructions burned: 50 (million)
% 0.17/0.45 % (24828)------------------------------
% 0.17/0.45 % (24828)------------------------------
% 0.17/0.45 % (24834)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.17/0.45 % (24833)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.17/0.46 % (24833)Instruction limit reached!
% 0.17/0.46 % (24833)------------------------------
% 0.17/0.46 % (24833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.46 % (24833)Termination reason: Unknown
% 0.17/0.46 % (24833)Termination phase: Saturation
% 0.17/0.46
% 0.17/0.46 % (24833)Memory used [KB]: 5756
% 0.17/0.46 % (24833)Time elapsed: 0.010 s
% 0.17/0.46 % (24833)Instructions burned: 32 (million)
% 0.17/0.46 % (24833)------------------------------
% 0.17/0.46 % (24833)------------------------------
% 0.17/0.46 % (24801)Instruction limit reached!
% 0.17/0.46 % (24801)------------------------------
% 0.17/0.46 % (24801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.46 % (24836)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.17/0.46 % (24801)Termination reason: Unknown
% 0.17/0.46 % (24801)Termination phase: Saturation
% 0.17/0.46
% 0.17/0.46 % (24801)Memory used [KB]: 6908
% 0.17/0.46 % (24801)Time elapsed: 0.119 s
% 0.17/0.46 % (24801)Instructions burned: 184 (million)
% 0.17/0.46 % (24801)------------------------------
% 0.17/0.46 % (24801)------------------------------
% 0.17/0.47 % (24836)Instruction limit reached!
% 0.17/0.47 % (24836)------------------------------
% 0.17/0.47 % (24836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.47 % (24836)Termination reason: Unknown
% 0.17/0.47 % (24836)Termination phase: shuffling
% 0.17/0.47
% 0.17/0.47 % (24836)Memory used [KB]: 1151
% 0.17/0.47 % (24836)Time elapsed: 0.003 s
% 0.17/0.47 % (24836)Instructions burned: 5 (million)
% 0.17/0.47 % (24836)------------------------------
% 0.17/0.47 % (24836)------------------------------
% 0.17/0.47 % (24837)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.17/0.47 % (24839)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.17/0.48 % (24838)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.17/0.48 % (24835)Instruction limit reached!
% 0.17/0.48 % (24835)------------------------------
% 0.17/0.48 % (24835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.48 % (24835)Termination reason: Unknown
% 0.17/0.48 % (24835)Termination phase: Saturation
% 0.17/0.48
% 0.17/0.48 % (24835)Memory used [KB]: 6396
% 0.17/0.48 % (24835)Time elapsed: 0.033 s
% 0.17/0.48 % (24835)Instructions burned: 102 (million)
% 0.17/0.48 % (24835)------------------------------
% 0.17/0.48 % (24835)------------------------------
% 0.17/0.48 % (24839)Refutation not found, incomplete strategy
% 0.17/0.48 % (24839)------------------------------
% 0.17/0.48 % (24839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.48 % (24839)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.48
% 0.17/0.48
% 0.17/0.48 % (24839)Memory used [KB]: 5628
% 0.17/0.48 % (24839)Time elapsed: 0.007 s
% 0.17/0.48 % (24839)Instructions burned: 20 (million)
% 0.17/0.48 % (24839)------------------------------
% 0.17/0.48 % (24839)------------------------------
% 0.17/0.48 % (24837)Instruction limit reached!
% 0.17/0.48 % (24837)------------------------------
% 0.17/0.48 % (24837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.48 % (24837)Termination reason: Unknown
% 0.17/0.48 % (24837)Termination phase: Saturation
% 0.17/0.48
% 0.17/0.48 % (24837)Memory used [KB]: 5628
% 0.17/0.48 % (24837)Time elapsed: 0.011 s
% 0.17/0.48 % (24837)Instructions burned: 21 (million)
% 0.17/0.48 % (24837)------------------------------
% 0.17/0.48 % (24837)------------------------------
% 0.17/0.48 % (24834)First to succeed.
% 0.17/0.49 % (24834)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% 0.17/0.49 thf(type_def_5, type, mworld: $tType).
% 0.17/0.49 thf(func_def_0, type, mworld: $tType).
% 0.17/0.49 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.17/0.49 thf(func_def_2, type, mactual: mworld).
% 0.17/0.49 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.17/0.49 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.17/0.49 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.17/0.49 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.17/0.49 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.17/0.49 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.17/0.49 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.17/0.49 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.17/0.49 thf(func_def_12, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.17/0.49 thf(func_def_13, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.17/0.49 thf(func_def_15, type, qmltpeq: $i > $i > mworld > $o).
% 0.17/0.49 thf(func_def_16, type, equal_set: $i > $i > mworld > $o).
% 0.17/0.49 thf(func_def_17, type, member: $i > $i > mworld > $o).
% 0.17/0.49 thf(func_def_18, type, subset: $i > $i > mworld > $o).
% 0.17/0.49 thf(func_def_19, type, singleton: $i > $i).
% 0.17/0.49 thf(func_def_20, type, product: $i > $i).
% 0.17/0.49 thf(func_def_21, type, unordered_pair: $i > $i > $i).
% 0.17/0.49 thf(func_def_22, type, intersection: $i > $i > $i).
% 0.17/0.49 thf(func_def_23, type, difference: $i > $i > $i).
% 0.17/0.49 thf(func_def_24, type, sum: $i > $i).
% 0.17/0.49 thf(func_def_25, type, union: $i > $i > $i).
% 0.17/0.49 thf(func_def_26, type, power_set: $i > $i).
% 0.17/0.49 thf(func_def_45, type, ph3: !>[X0: $tType]:(X0)).
% 0.17/0.49 thf(f639,plain,(
% 0.17/0.49 $false),
% 0.17/0.49 inference(avatar_sat_refutation,[],[f463,f522,f545,f556,f592,f615,f638])).
% 0.17/0.49 thf(f638,plain,(
% 0.17/0.49 ~spl0_1 | ~spl0_5),
% 0.17/0.49 inference(avatar_contradiction_clause,[],[f637])).
% 0.17/0.49 thf(f637,plain,(
% 0.17/0.49 $false | (~spl0_1 | ~spl0_5)),
% 0.17/0.49 inference(trivial_inequality_removal,[],[f636])).
% 0.17/0.49 thf(f636,plain,(
% 0.17/0.49 ($true = $false) | (~spl0_1 | ~spl0_5)),
% 0.17/0.49 inference(forward_demodulation,[],[f610,f587])).
% 0.17/0.49 thf(f587,plain,(
% 0.17/0.49 ((member @ sK5 @ sK2 @ mactual) = $false) | ~spl0_5),
% 0.17/0.49 inference(avatar_component_clause,[],[f585])).
% 0.17/0.49 thf(f585,plain,(
% 0.17/0.49 spl0_5 <=> ((member @ sK5 @ sK2 @ mactual) = $false)),
% 0.17/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.17/0.49 thf(f610,plain,(
% 0.17/0.49 ($true = (member @ sK5 @ sK2 @ mactual)) | ~spl0_1),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f609])).
% 0.17/0.49 thf(f609,plain,(
% 0.17/0.49 ($true = ((member @ sK5 @ sK1 @ mactual) & (member @ sK5 @ sK2 @ mactual))) | ~spl0_1),
% 0.17/0.49 inference(boolean_simplification,[],[f605])).
% 0.17/0.49 thf(f605,plain,(
% 0.17/0.49 (($true = ((member @ sK5 @ sK1 @ mactual) & (member @ sK5 @ sK2 @ mactual))) = $true) | ~spl0_1),
% 0.17/0.49 inference(superposition,[],[f254,f565])).
% 0.17/0.49 thf(f565,plain,(
% 0.17/0.49 ($true = (member @ sK5 @ (intersection @ sK2 @ sK1) @ mactual)) | ~spl0_1),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f563])).
% 0.17/0.49 thf(f563,plain,(
% 0.17/0.49 (((member @ sK5 @ (intersection @ sK2 @ sK1) @ mactual) => (member @ sK5 @ (intersection @ sK1 @ sK2) @ mactual)) = $false) | ~spl0_1),
% 0.17/0.49 inference(beta_eta_normalization,[],[f562])).
% 0.17/0.49 thf(f562,plain,(
% 0.17/0.49 (((^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual) => (member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual))) @ sK5) = $false) | ~spl0_1),
% 0.17/0.49 inference(sigma_clausification,[],[f561])).
% 0.17/0.49 thf(f561,plain,(
% 0.17/0.49 ((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual) => (member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual)))) = $false) | ~spl0_1),
% 0.17/0.49 inference(not_proxy_clausification,[],[f560])).
% 0.17/0.49 thf(f560,plain,(
% 0.17/0.49 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual) => (member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual)))))) | ~spl0_1),
% 0.17/0.49 inference(boolean_simplification,[],[f557])).
% 0.17/0.49 thf(f557,plain,(
% 0.17/0.49 ($true = ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual) => (member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual)))))) | ~spl0_1),
% 0.17/0.49 inference(superposition,[],[f236,f458])).
% 0.17/0.49 thf(f458,plain,(
% 0.17/0.49 ((subset @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK2) @ mactual) = $false) | ~spl0_1),
% 0.17/0.49 inference(avatar_component_clause,[],[f456])).
% 0.17/0.49 thf(f456,plain,(
% 0.17/0.49 spl0_1 <=> ((subset @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK2) @ mactual) = $false)),
% 0.17/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.17/0.49 thf(f236,plain,(
% 0.17/0.49 ( ! [X2 : $i,X1 : $i] : (($true = ((subset @ X1 @ X2 @ mactual) = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ X1 @ mactual) => (member @ Y0 @ X2 @ mactual))))))) )),
% 0.17/0.49 inference(beta_eta_normalization,[],[f235])).
% 0.17/0.49 thf(f235,plain,(
% 0.17/0.49 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((subset @ X1 @ Y0 @ mactual) = (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual)))))) @ X2))) )),
% 0.17/0.49 inference(pi_clausification,[],[f234])).
% 0.17/0.49 thf(f234,plain,(
% 0.17/0.49 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((subset @ X1 @ Y0 @ mactual) = (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual))))))))) )),
% 0.17/0.49 inference(beta_eta_normalization,[],[f233])).
% 0.17/0.49 thf(f233,plain,(
% 0.17/0.49 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1 @ mactual) = (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual)))))))) @ X1))) )),
% 0.17/0.49 inference(pi_clausification,[],[f232])).
% 0.17/0.49 thf(f232,plain,(
% 0.17/0.49 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1 @ mactual) = (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual))))))))))),
% 0.17/0.49 inference(beta_eta_normalization,[],[f196])).
% 0.17/0.49 thf(f196,plain,(
% 0.17/0.49 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (subset @ Y0 @ Y1) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))))),
% 0.17/0.49 inference(definition_unfolding,[],[f154,f145,f150,f150,f164,f150,f165])).
% 0.17/0.49 thf(f165,plain,(
% 0.17/0.49 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.17/0.49 inference(cnf_transformation,[],[f134])).
% 0.17/0.49 thf(f134,plain,(
% 0.17/0.49 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.17/0.49 inference(fool_elimination,[],[f133])).
% 0.17/0.49 thf(f133,plain,(
% 0.17/0.49 (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.17/0.49 inference(rectify,[],[f5])).
% 0.17/0.49 thf(f5,axiom,(
% 0.17/0.49 (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def)).
% 0.17/0.49 thf(f164,plain,(
% 0.17/0.49 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.17/0.49 inference(cnf_transformation,[],[f67])).
% 0.17/0.49 thf(f67,plain,(
% 0.17/0.49 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.17/0.49 inference(fool_elimination,[],[f66])).
% 0.17/0.49 thf(f66,plain,(
% 0.17/0.49 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) <=> (X1 @ X2))) = mequiv)),
% 0.17/0.49 inference(rectify,[],[f6])).
% 0.17/0.49 thf(f6,axiom,(
% 0.17/0.49 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X3 @ X2))) = mequiv)),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv_def)).
% 0.17/0.49 thf(f150,plain,(
% 0.17/0.49 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.17/0.49 inference(cnf_transformation,[],[f136])).
% 0.17/0.49 thf(f136,plain,(
% 0.17/0.49 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.17/0.49 inference(fool_elimination,[],[f135])).
% 0.17/0.49 thf(f135,plain,(
% 0.17/0.49 (mforall_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : (X0 @ X2 @ X1))))),
% 0.17/0.49 inference(rectify,[],[f11])).
% 0.17/0.49 thf(f11,axiom,(
% 0.17/0.49 (mforall_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (! [X6] : (X1 @ X6 @ X2))))),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def)).
% 0.17/0.49 thf(f145,plain,(
% 0.17/0.49 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.17/0.49 inference(cnf_transformation,[],[f78])).
% 0.17/0.49 thf(f78,plain,(
% 0.17/0.49 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.17/0.49 inference(fool_elimination,[],[f1])).
% 0.17/0.49 thf(f1,axiom,(
% 0.17/0.49 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 0.17/0.49 thf(f154,plain,(
% 0.17/0.49 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))))),
% 0.17/0.49 inference(cnf_transformation,[],[f65])).
% 0.17/0.49 thf(f65,plain,(
% 0.17/0.49 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))))),
% 0.17/0.49 inference(fool_elimination,[],[f64])).
% 0.17/0.49 thf(f64,plain,(
% 0.17/0.49 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (subset @ X0 @ X1) @ (mforall_di @ (^[X2 : $i] : (mimplies @ (member @ X2 @ X0) @ (member @ X2 @ X1))))))))))),
% 0.17/0.49 inference(rectify,[],[f34])).
% 0.17/0.49 thf(f34,axiom,(
% 0.17/0.49 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (subset @ X1 @ X3) @ (mforall_di @ (^[X6 : $i] : (mimplies @ (member @ X6 @ X1) @ (member @ X6 @ X3))))))))))),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_0)).
% 0.17/0.49 thf(f254,plain,(
% 0.17/0.49 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((member @ X1 @ (intersection @ X2 @ X3) @ mactual) = ((member @ X1 @ X3 @ mactual) & (member @ X1 @ X2 @ mactual))))) )),
% 0.17/0.49 inference(beta_eta_normalization,[],[f253])).
% 0.17/0.49 thf(f253,plain,(
% 0.17/0.49 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((member @ X1 @ (intersection @ X2 @ Y0) @ mactual) = ((member @ X1 @ Y0 @ mactual) & (member @ X1 @ X2 @ mactual)))) @ X3))) )),
% 0.17/0.49 inference(pi_clausification,[],[f252])).
% 0.17/0.49 thf(f252,plain,(
% 0.17/0.49 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((member @ X1 @ (intersection @ X2 @ Y0) @ mactual) = ((member @ X1 @ Y0 @ mactual) & (member @ X1 @ X2 @ mactual))))))) )),
% 0.17/0.49 inference(beta_eta_normalization,[],[f251])).
% 0.17/0.49 thf(f251,plain,(
% 0.17/0.49 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((member @ X1 @ (intersection @ Y0 @ Y1) @ mactual) = ((member @ X1 @ Y1 @ mactual) & (member @ X1 @ Y0 @ mactual)))))) @ X2))) )),
% 0.17/0.49 inference(pi_clausification,[],[f250])).
% 0.17/0.49 thf(f250,plain,(
% 0.17/0.49 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((member @ X1 @ (intersection @ Y0 @ Y1) @ mactual) = ((member @ X1 @ Y1 @ mactual) & (member @ X1 @ Y0 @ mactual))))))))) )),
% 0.17/0.49 inference(beta_eta_normalization,[],[f249])).
% 0.17/0.49 thf(f249,plain,(
% 0.17/0.49 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((member @ Y0 @ (intersection @ Y1 @ Y2) @ mactual) = ((member @ Y0 @ Y2 @ mactual) & (member @ Y0 @ Y1 @ mactual)))))))) @ X1))) )),
% 0.17/0.49 inference(pi_clausification,[],[f248])).
% 0.17/0.49 thf(f248,plain,(
% 0.17/0.49 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((member @ Y0 @ (intersection @ Y1 @ Y2) @ mactual) = ((member @ Y0 @ Y2 @ mactual) & (member @ Y0 @ Y1 @ mactual))))))))))),
% 0.17/0.49 inference(beta_eta_normalization,[],[f191])).
% 0.17/0.49 thf(f191,plain,(
% 0.17/0.49 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) = (Y4 @ Y5))))))) @ (member @ Y0 @ (intersection @ Y1 @ Y2)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y4 @ Y5) & (Y3 @ Y5))))))) @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))),
% 0.17/0.49 inference(definition_unfolding,[],[f148,f145,f150,f150,f150,f164,f157])).
% 0.17/0.49 thf(f157,plain,(
% 0.17/0.49 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.17/0.49 inference(cnf_transformation,[],[f114])).
% 0.17/0.49 thf(f114,plain,(
% 0.17/0.49 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 0.17/0.49 inference(fool_elimination,[],[f113])).
% 0.17/0.49 thf(f113,plain,(
% 0.17/0.49 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))) = mand)),
% 0.17/0.49 inference(rectify,[],[f3])).
% 0.17/0.49 thf(f3,axiom,(
% 0.17/0.49 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))) = mand)),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def)).
% 0.17/0.49 thf(f148,plain,(
% 0.17/0.49 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y0 @ (intersection @ Y1 @ Y2)) @ (mand @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))),
% 0.17/0.49 inference(cnf_transformation,[],[f55])).
% 0.17/0.49 thf(f55,plain,(
% 0.17/0.49 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y0 @ (intersection @ Y1 @ Y2)) @ (mand @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))),
% 0.17/0.49 inference(fool_elimination,[],[f54])).
% 0.17/0.49 thf(f54,plain,(
% 0.17/0.49 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mequiv @ (member @ X0 @ (intersection @ X1 @ X2)) @ (mand @ (member @ X0 @ X1) @ (member @ X0 @ X2))))))))))),
% 0.17/0.49 inference(rectify,[],[f37])).
% 0.17/0.49 thf(f37,axiom,(
% 0.17/0.49 (mlocal @ (mforall_di @ (^[X6 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (member @ X6 @ (intersection @ X1 @ X3)) @ (mand @ (member @ X6 @ X1) @ (member @ X6 @ X3))))))))))),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_0)).
% 0.17/0.49 thf(f615,plain,(
% 0.17/0.49 ~spl0_1 | ~spl0_6),
% 0.17/0.49 inference(avatar_contradiction_clause,[],[f614])).
% 0.17/0.49 thf(f614,plain,(
% 0.17/0.49 $false | (~spl0_1 | ~spl0_6)),
% 0.17/0.49 inference(trivial_inequality_removal,[],[f613])).
% 0.17/0.49 thf(f613,plain,(
% 0.17/0.49 ($true = $false) | (~spl0_1 | ~spl0_6)),
% 0.17/0.49 inference(forward_demodulation,[],[f611,f591])).
% 0.17/0.49 thf(f591,plain,(
% 0.17/0.49 ((member @ sK5 @ sK1 @ mactual) = $false) | ~spl0_6),
% 0.17/0.49 inference(avatar_component_clause,[],[f589])).
% 0.17/0.49 thf(f589,plain,(
% 0.17/0.49 spl0_6 <=> ((member @ sK5 @ sK1 @ mactual) = $false)),
% 0.17/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.17/0.49 thf(f611,plain,(
% 0.17/0.49 ($true = (member @ sK5 @ sK1 @ mactual)) | ~spl0_1),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f609])).
% 0.17/0.49 thf(f592,plain,(
% 0.17/0.49 spl0_5 | spl0_6 | ~spl0_1),
% 0.17/0.49 inference(avatar_split_clause,[],[f583,f456,f589,f585])).
% 0.17/0.49 thf(f583,plain,(
% 0.17/0.49 ((member @ sK5 @ sK1 @ mactual) = $false) | ((member @ sK5 @ sK2 @ mactual) = $false) | ~spl0_1),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f582])).
% 0.17/0.49 thf(f582,plain,(
% 0.17/0.49 (((member @ sK5 @ sK2 @ mactual) & (member @ sK5 @ sK1 @ mactual)) = $false) | ~spl0_1),
% 0.17/0.49 inference(not_proxy_clausification,[],[f581])).
% 0.17/0.49 thf(f581,plain,(
% 0.17/0.49 ($true = (~ ((member @ sK5 @ sK2 @ mactual) & (member @ sK5 @ sK1 @ mactual)))) | ~spl0_1),
% 0.17/0.49 inference(boolean_simplification,[],[f572])).
% 0.17/0.49 thf(f572,plain,(
% 0.17/0.49 ($true = ($false = ((member @ sK5 @ sK2 @ mactual) & (member @ sK5 @ sK1 @ mactual)))) | ~spl0_1),
% 0.17/0.49 inference(superposition,[],[f254,f564])).
% 0.17/0.49 thf(f564,plain,(
% 0.17/0.49 ((member @ sK5 @ (intersection @ sK1 @ sK2) @ mactual) = $false) | ~spl0_1),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f563])).
% 0.17/0.49 thf(f556,plain,(
% 0.17/0.49 ~spl0_2 | ~spl0_4),
% 0.17/0.49 inference(avatar_contradiction_clause,[],[f555])).
% 0.17/0.49 thf(f555,plain,(
% 0.17/0.49 $false | (~spl0_2 | ~spl0_4)),
% 0.17/0.49 inference(trivial_inequality_removal,[],[f554])).
% 0.17/0.49 thf(f554,plain,(
% 0.17/0.49 ($true = $false) | (~spl0_2 | ~spl0_4)),
% 0.17/0.49 inference(forward_demodulation,[],[f540,f521])).
% 0.17/0.49 thf(f521,plain,(
% 0.17/0.49 ((member @ sK4 @ sK1 @ mactual) = $false) | ~spl0_4),
% 0.17/0.49 inference(avatar_component_clause,[],[f519])).
% 0.17/0.49 thf(f519,plain,(
% 0.17/0.49 spl0_4 <=> ((member @ sK4 @ sK1 @ mactual) = $false)),
% 0.17/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.17/0.49 thf(f540,plain,(
% 0.17/0.49 ($true = (member @ sK4 @ sK1 @ mactual)) | ~spl0_2),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f539])).
% 0.17/0.49 thf(f539,plain,(
% 0.17/0.49 ($true = ((member @ sK4 @ sK2 @ mactual) & (member @ sK4 @ sK1 @ mactual))) | ~spl0_2),
% 0.17/0.49 inference(boolean_simplification,[],[f535])).
% 0.17/0.49 thf(f535,plain,(
% 0.17/0.49 ($true = ($true = ((member @ sK4 @ sK2 @ mactual) & (member @ sK4 @ sK1 @ mactual)))) | ~spl0_2),
% 0.17/0.49 inference(superposition,[],[f254,f501])).
% 0.17/0.49 thf(f501,plain,(
% 0.17/0.49 ($true = (member @ sK4 @ (intersection @ sK1 @ sK2) @ mactual)) | ~spl0_2),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f499])).
% 0.17/0.49 thf(f499,plain,(
% 0.17/0.49 (((member @ sK4 @ (intersection @ sK1 @ sK2) @ mactual) => (member @ sK4 @ (intersection @ sK2 @ sK1) @ mactual)) = $false) | ~spl0_2),
% 0.17/0.49 inference(beta_eta_normalization,[],[f498])).
% 0.17/0.49 thf(f498,plain,(
% 0.17/0.49 (((^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual) => (member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual))) @ sK4) = $false) | ~spl0_2),
% 0.17/0.49 inference(sigma_clausification,[],[f497])).
% 0.17/0.49 thf(f497,plain,(
% 0.17/0.49 ((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual) => (member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual)))) = $false) | ~spl0_2),
% 0.17/0.49 inference(not_proxy_clausification,[],[f496])).
% 0.17/0.49 thf(f496,plain,(
% 0.17/0.49 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual) => (member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual)))))) | ~spl0_2),
% 0.17/0.49 inference(boolean_simplification,[],[f495])).
% 0.17/0.49 thf(f495,plain,(
% 0.17/0.49 (($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual) => (member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual))))) = $true) | ~spl0_2),
% 0.17/0.49 inference(superposition,[],[f236,f462])).
% 0.17/0.49 thf(f462,plain,(
% 0.17/0.49 ((subset @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual) = $false) | ~spl0_2),
% 0.17/0.49 inference(avatar_component_clause,[],[f460])).
% 0.17/0.49 thf(f460,plain,(
% 0.17/0.49 spl0_2 <=> ((subset @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual) = $false)),
% 0.17/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.17/0.49 thf(f545,plain,(
% 0.17/0.49 ~spl0_2 | ~spl0_3),
% 0.17/0.49 inference(avatar_contradiction_clause,[],[f544])).
% 0.17/0.49 thf(f544,plain,(
% 0.17/0.49 $false | (~spl0_2 | ~spl0_3)),
% 0.17/0.49 inference(trivial_inequality_removal,[],[f543])).
% 0.17/0.49 thf(f543,plain,(
% 0.17/0.49 ($true = $false) | (~spl0_2 | ~spl0_3)),
% 0.17/0.49 inference(forward_demodulation,[],[f541,f517])).
% 0.17/0.49 thf(f517,plain,(
% 0.17/0.49 ((member @ sK4 @ sK2 @ mactual) = $false) | ~spl0_3),
% 0.17/0.49 inference(avatar_component_clause,[],[f515])).
% 0.17/0.49 thf(f515,plain,(
% 0.17/0.49 spl0_3 <=> ((member @ sK4 @ sK2 @ mactual) = $false)),
% 0.17/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.17/0.49 thf(f541,plain,(
% 0.17/0.49 ((member @ sK4 @ sK2 @ mactual) = $true) | ~spl0_2),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f539])).
% 0.17/0.49 thf(f522,plain,(
% 0.17/0.49 spl0_3 | spl0_4 | ~spl0_2),
% 0.17/0.49 inference(avatar_split_clause,[],[f507,f460,f519,f515])).
% 0.17/0.49 thf(f507,plain,(
% 0.17/0.49 ((member @ sK4 @ sK2 @ mactual) = $false) | ((member @ sK4 @ sK1 @ mactual) = $false) | ~spl0_2),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f506])).
% 0.17/0.49 thf(f506,plain,(
% 0.17/0.49 (((member @ sK4 @ sK1 @ mactual) & (member @ sK4 @ sK2 @ mactual)) = $false) | ~spl0_2),
% 0.17/0.49 inference(not_proxy_clausification,[],[f505])).
% 0.17/0.49 thf(f505,plain,(
% 0.17/0.49 ($true = (~ ((member @ sK4 @ sK1 @ mactual) & (member @ sK4 @ sK2 @ mactual)))) | ~spl0_2),
% 0.17/0.49 inference(boolean_simplification,[],[f502])).
% 0.17/0.49 thf(f502,plain,(
% 0.17/0.49 (($false = ((member @ sK4 @ sK1 @ mactual) & (member @ sK4 @ sK2 @ mactual))) = $true) | ~spl0_2),
% 0.17/0.49 inference(superposition,[],[f254,f500])).
% 0.17/0.49 thf(f500,plain,(
% 0.17/0.49 ((member @ sK4 @ (intersection @ sK2 @ sK1) @ mactual) = $false) | ~spl0_2),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f499])).
% 0.17/0.49 thf(f463,plain,(
% 0.17/0.49 spl0_1 | spl0_2),
% 0.17/0.49 inference(avatar_split_clause,[],[f454,f460,f456])).
% 0.17/0.49 thf(f454,plain,(
% 0.17/0.49 ((subset @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK2) @ mactual) = $false) | ((subset @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual) = $false)),
% 0.17/0.49 inference(binary_proxy_clausification,[],[f453])).
% 0.17/0.49 thf(f453,plain,(
% 0.17/0.49 (((subset @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK2) @ mactual) & (subset @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual)) = $false)),
% 0.17/0.49 inference(not_proxy_clausification,[],[f452])).
% 0.17/0.49 thf(f452,plain,(
% 0.17/0.49 ($true = (~ ((subset @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK2) @ mactual) & (subset @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual))))),
% 0.17/0.49 inference(boolean_simplification,[],[f451])).
% 0.17/0.49 thf(f451,plain,(
% 0.17/0.49 ($true = ($false = ((subset @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK2) @ mactual) & (subset @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual))))),
% 0.17/0.49 inference(superposition,[],[f264,f241])).
% 0.17/0.49 thf(f241,plain,(
% 0.17/0.49 ((equal_set @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual) = $false)),
% 0.17/0.49 inference(beta_eta_normalization,[],[f240])).
% 0.17/0.49 thf(f240,plain,(
% 0.17/0.49 (((^[Y0 : $i]: (equal_set @ (intersection @ sK1 @ Y0) @ (intersection @ Y0 @ sK1) @ mactual)) @ sK2) = $false)),
% 0.17/0.49 inference(sigma_clausification,[],[f239])).
% 0.17/0.49 thf(f239,plain,(
% 0.17/0.49 ((!! @ $i @ (^[Y0 : $i]: (equal_set @ (intersection @ sK1 @ Y0) @ (intersection @ Y0 @ sK1) @ mactual))) = $false)),
% 0.17/0.49 inference(beta_eta_normalization,[],[f238])).
% 0.17/0.49 thf(f238,plain,(
% 0.17/0.49 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (equal_set @ (intersection @ Y0 @ Y1) @ (intersection @ Y1 @ Y0) @ mactual)))) @ sK1) = $false)),
% 0.17/0.49 inference(sigma_clausification,[],[f237])).
% 0.17/0.49 thf(f237,plain,(
% 0.17/0.49 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (equal_set @ (intersection @ Y0 @ Y1) @ (intersection @ Y1 @ Y0) @ mactual))))))),
% 0.17/0.49 inference(beta_eta_normalization,[],[f189])).
% 0.17/0.49 thf(f189,plain,(
% 0.17/0.49 ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: (equal_set @ (intersection @ Y0 @ Y1) @ (intersection @ Y1 @ Y0))))))))),
% 0.17/0.49 inference(definition_unfolding,[],[f146,f145,f150,f150])).
% 0.17/0.49 thf(f146,plain,(
% 0.17/0.49 ($true != (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (equal_set @ (intersection @ Y0 @ Y1) @ (intersection @ Y1 @ Y0))))))))),
% 0.17/0.49 inference(cnf_transformation,[],[f137])).
% 0.17/0.49 thf(f137,plain,(
% 0.17/0.49 ($true != (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (equal_set @ (intersection @ Y0 @ Y1) @ (intersection @ Y1 @ Y0))))))))),
% 0.17/0.49 inference(flattening,[],[f122])).
% 0.17/0.49 thf(f122,plain,(
% 0.17/0.49 ~($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (equal_set @ (intersection @ Y0 @ Y1) @ (intersection @ Y1 @ Y0))))))))),
% 0.17/0.49 inference(fool_elimination,[],[f121])).
% 0.17/0.49 thf(f121,plain,(
% 0.17/0.49 ~(mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (equal_set @ (intersection @ X0 @ X1) @ (intersection @ X1 @ X0)))))))),
% 0.17/0.49 inference(rectify,[],[f46])).
% 0.17/0.49 thf(f46,negated_conjecture,(
% 0.17/0.49 ~(mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (equal_set @ (intersection @ X1 @ X3) @ (intersection @ X3 @ X1)))))))),
% 0.17/0.49 inference(negated_conjecture,[],[f45])).
% 0.17/0.49 thf(f45,conjecture,(
% 0.17/0.49 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (equal_set @ (intersection @ X1 @ X3) @ (intersection @ X3 @ X1)))))))),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI06)).
% 0.17/0.49 thf(f264,plain,(
% 0.17/0.49 ( ! [X2 : $i,X1 : $i] : (($true = ((equal_set @ X1 @ X2 @ mactual) = ((subset @ X2 @ X1 @ mactual) & (subset @ X1 @ X2 @ mactual))))) )),
% 0.17/0.49 inference(beta_eta_normalization,[],[f263])).
% 0.17/0.49 thf(f263,plain,(
% 0.17/0.49 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((equal_set @ X1 @ Y0 @ mactual) = ((subset @ Y0 @ X1 @ mactual) & (subset @ X1 @ Y0 @ mactual)))) @ X2))) )),
% 0.17/0.49 inference(pi_clausification,[],[f262])).
% 0.17/0.49 thf(f262,plain,(
% 0.17/0.49 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((equal_set @ X1 @ Y0 @ mactual) = ((subset @ Y0 @ X1 @ mactual) & (subset @ X1 @ Y0 @ mactual))))) = $true)) )),
% 0.17/0.49 inference(beta_eta_normalization,[],[f261])).
% 0.17/0.49 thf(f261,plain,(
% 0.17/0.49 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((equal_set @ Y0 @ Y1 @ mactual) = ((subset @ Y1 @ Y0 @ mactual) & (subset @ Y0 @ Y1 @ mactual)))))) @ X1))) )),
% 0.17/0.49 inference(pi_clausification,[],[f260])).
% 0.17/0.49 thf(f260,plain,(
% 0.17/0.49 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((equal_set @ Y0 @ Y1 @ mactual) = ((subset @ Y1 @ Y0 @ mactual) & (subset @ Y0 @ Y1 @ mactual))))))) = $true)),
% 0.17/0.49 inference(beta_eta_normalization,[],[f203])).
% 0.17/0.49 thf(f203,plain,(
% 0.17/0.49 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (equal_set @ Y0 @ Y1) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 0.17/0.49 inference(definition_unfolding,[],[f163,f145,f150,f150,f164,f157])).
% 0.17/0.49 thf(f163,plain,(
% 0.17/0.49 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (equal_set @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 0.17/0.49 inference(cnf_transformation,[],[f61])).
% 0.17/0.49 thf(f61,plain,(
% 0.17/0.49 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (equal_set @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 0.17/0.49 inference(fool_elimination,[],[f60])).
% 0.17/0.49 thf(f60,plain,(
% 0.17/0.49 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (equal_set @ X0 @ X1) @ (mand @ (subset @ X0 @ X1) @ (subset @ X1 @ X0))))))))),
% 0.17/0.49 inference(rectify,[],[f35])).
% 0.17/0.49 thf(f35,axiom,(
% 0.17/0.49 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (equal_set @ X1 @ X3) @ (mand @ (subset @ X1 @ X3) @ (subset @ X3 @ X1))))))))),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set_0)).
% 0.17/0.49 % SZS output end Proof for theBenchmark
% 0.17/0.49 % (24834)------------------------------
% 0.17/0.49 % (24834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.49 % (24834)Termination reason: Refutation
% 0.17/0.49
% 0.17/0.49 % (24834)Memory used [KB]: 6396
% 0.17/0.49 % (24834)Time elapsed: 0.032 s
% 0.17/0.49 % (24834)Instructions burned: 76 (million)
% 0.17/0.49 % (24834)------------------------------
% 0.17/0.49 % (24834)------------------------------
% 0.17/0.49 % (24800)Success in time 0.152 s
% 0.17/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------