TSTP Solution File: SEU506^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU506^1 : 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 : n007.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 03:49:12 EDT 2024
% Result : Theorem 0.23s 0.50s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU506^1 : TPTP v8.2.0. Released v3.7.0.
% 0.08/0.16 % 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
% 0.17/0.37 % Computer : n007.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sun May 19 17:31:38 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.17/0.37 This is a TH0_THM_EQU_NAR problem
% 0.17/0.38 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
% 0.17/0.39 % (4681)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)
% 0.17/0.40 % (4675)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)
% 0.17/0.40 % (4674)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.17/0.40 % (4677)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.40 % (4676)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)
% 0.17/0.40 % (4678)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)
% 0.17/0.40 % (4679)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)
% 0.17/0.40 % (4680)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.40 % (4677)Instruction limit reached!
% 0.17/0.40 % (4677)------------------------------
% 0.17/0.40 % (4677)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (4677)Termination reason: Unknown
% 0.17/0.40 % (4677)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (4678)Instruction limit reached!
% 0.17/0.40 % (4678)------------------------------
% 0.17/0.40 % (4678)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (4678)Termination reason: Unknown
% 0.17/0.40 % (4678)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (4678)Memory used [KB]: 1023
% 0.17/0.40 % (4678)Time elapsed: 0.003 s
% 0.17/0.40 % (4678)Instructions burned: 2 (million)
% 0.17/0.40 % (4678)------------------------------
% 0.17/0.40 % (4678)------------------------------
% 0.17/0.40 % (4677)Memory used [KB]: 1023
% 0.17/0.40 % (4677)Time elapsed: 0.003 s
% 0.17/0.40 % (4677)Instructions burned: 2 (million)
% 0.17/0.40 % (4677)------------------------------
% 0.17/0.40 % (4677)------------------------------
% 0.17/0.40 % (4681)Instruction limit reached!
% 0.17/0.40 % (4681)------------------------------
% 0.17/0.40 % (4681)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (4681)Termination reason: Unknown
% 0.17/0.40 % (4681)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (4681)Memory used [KB]: 1023
% 0.17/0.40 % (4681)Time elapsed: 0.003 s
% 0.17/0.40 % (4681)Instructions burned: 3 (million)
% 0.17/0.40 % (4681)------------------------------
% 0.17/0.40 % (4681)------------------------------
% 0.17/0.40 % (4675)Instruction limit reached!
% 0.17/0.40 % (4675)------------------------------
% 0.17/0.40 % (4675)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (4675)Termination reason: Unknown
% 0.17/0.40 % (4675)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (4675)Memory used [KB]: 1023
% 0.17/0.40 % (4675)Time elapsed: 0.004 s
% 0.17/0.40 % (4675)Instructions burned: 4 (million)
% 0.17/0.40 % (4675)------------------------------
% 0.17/0.40 % (4675)------------------------------
% 0.17/0.41 % (4680)Instruction limit reached!
% 0.17/0.41 % (4680)------------------------------
% 0.17/0.41 % (4680)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (4680)Termination reason: Unknown
% 0.17/0.41 % (4680)Termination phase: Property scanning
% 0.17/0.41
% 0.17/0.41 % (4680)Memory used [KB]: 1407
% 0.17/0.41 % (4680)Time elapsed: 0.012 s
% 0.17/0.41 % (4680)Instructions burned: 18 (million)
% 0.17/0.41 % (4680)------------------------------
% 0.17/0.41 % (4680)------------------------------
% 0.17/0.41 % (4676)Instruction limit reached!
% 0.17/0.41 % (4676)------------------------------
% 0.17/0.41 % (4676)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (4676)Termination reason: Unknown
% 0.17/0.41 % (4676)Termination phase: Saturation
% 0.17/0.41
% 0.17/0.41 % (4676)Memory used [KB]: 5756
% 0.17/0.41 % (4676)Time elapsed: 0.016 s
% 0.17/0.41 % (4676)Instructions burned: 27 (million)
% 0.17/0.41 % (4676)------------------------------
% 0.17/0.41 % (4676)------------------------------
% 0.17/0.41 % (4683)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)
% 0.17/0.41 % (4682)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)
% 0.23/0.41 % (4685)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)
% 0.23/0.41 % (4684)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)
% 0.23/0.42 % (4684)Instruction limit reached!
% 0.23/0.42 % (4684)------------------------------
% 0.23/0.42 % (4684)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (4684)Termination reason: Unknown
% 0.23/0.42 % (4684)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (4684)Memory used [KB]: 1023
% 0.23/0.42 % (4684)Time elapsed: 0.004 s
% 0.23/0.42 % (4684)Instructions burned: 4 (million)
% 0.23/0.42 % (4684)------------------------------
% 0.23/0.42 % (4684)------------------------------
% 0.23/0.42 % (4683)Instruction limit reached!
% 0.23/0.42 % (4683)------------------------------
% 0.23/0.42 % (4683)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (4683)Termination reason: Unknown
% 0.23/0.42 % (4683)Termination phase: Property scanning
% 0.23/0.42
% 0.23/0.42 % (4683)Memory used [KB]: 1407
% 0.23/0.42 % (4683)Time elapsed: 0.009 s
% 0.23/0.42 % (4683)Instructions burned: 15 (million)
% 0.23/0.42 % (4683)------------------------------
% 0.23/0.42 % (4683)------------------------------
% 0.23/0.42 % (4686)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.42 % (4687)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.42 % (4686)Instruction limit reached!
% 0.23/0.42 % (4686)------------------------------
% 0.23/0.42 % (4686)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (4686)Termination reason: Unknown
% 0.23/0.42 % (4686)Termination phase: SInE selection
% 0.23/0.42
% 0.23/0.42 % (4686)Memory used [KB]: 1151
% 0.23/0.42 % (4686)Time elapsed: 0.006 s
% 0.23/0.42 % (4686)Instructions burned: 8 (million)
% 0.23/0.42 % (4686)------------------------------
% 0.23/0.42 % (4686)------------------------------
% 0.23/0.43 % (4682)Instruction limit reached!
% 0.23/0.43 % (4682)------------------------------
% 0.23/0.43 % (4682)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (4682)Termination reason: Unknown
% 0.23/0.43 % (4682)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (4682)Memory used [KB]: 5756
% 0.23/0.43 % (4682)Time elapsed: 0.020 s
% 0.23/0.43 % (4682)Instructions burned: 37 (million)
% 0.23/0.43 % (4682)------------------------------
% 0.23/0.43 % (4682)------------------------------
% 0.23/0.43 % (4688)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)
% 0.23/0.43 % (4689)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)
% 0.23/0.43 % (4689)Instruction limit reached!
% 0.23/0.43 % (4689)------------------------------
% 0.23/0.43 % (4689)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (4687)Instruction limit reached!
% 0.23/0.43 % (4687)------------------------------
% 0.23/0.43 % (4687)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (4687)Termination reason: Unknown
% 0.23/0.43 % (4687)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (4687)Memory used [KB]: 1151
% 0.23/0.43 % (4687)Time elapsed: 0.010 s
% 0.23/0.43 % (4687)Instructions burned: 16 (million)
% 0.23/0.43 % (4687)------------------------------
% 0.23/0.43 % (4687)------------------------------
% 0.23/0.43 % (4689)Termination reason: Unknown
% 0.23/0.43 % (4689)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (4689)Memory used [KB]: 1023
% 0.23/0.43 % (4689)Time elapsed: 0.003 s
% 0.23/0.43 % (4689)Instructions burned: 4 (million)
% 0.23/0.43 % (4689)------------------------------
% 0.23/0.43 % (4689)------------------------------
% 0.23/0.43 % (4688)Instruction limit reached!
% 0.23/0.43 % (4688)------------------------------
% 0.23/0.43 % (4688)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (4688)Termination reason: Unknown
% 0.23/0.43 % (4688)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (4688)Memory used [KB]: 1023
% 0.23/0.43 % (4688)Time elapsed: 0.004 s
% 0.23/0.43 % (4688)Instructions burned: 4 (million)
% 0.23/0.43 % (4688)------------------------------
% 0.23/0.43 % (4688)------------------------------
% 0.23/0.44 % (4690)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)
% 0.23/0.44 % (4693)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)
% 0.23/0.44 % (4690)Instruction limit reached!
% 0.23/0.44 % (4690)------------------------------
% 0.23/0.44 % (4690)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (4690)Termination reason: Unknown
% 0.23/0.44 % (4690)Termination phase: Property scanning
% 0.23/0.44
% 0.23/0.44 % (4690)Memory used [KB]: 1151
% 0.23/0.44 % (4690)Time elapsed: 0.006 s
% 0.23/0.44 % (4690)Instructions burned: 8 (million)
% 0.23/0.44 % (4690)------------------------------
% 0.23/0.44 % (4690)------------------------------
% 0.23/0.44 % (4691)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)
% 0.23/0.45 % (4693)Instruction limit reached!
% 0.23/0.45 % (4693)------------------------------
% 0.23/0.45 % (4693)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (4693)Termination reason: Unknown
% 0.23/0.45 % (4693)Termination phase: Saturation
% 0.23/0.45
% 0.23/0.45 % (4693)Memory used [KB]: 5756
% 0.23/0.45 % (4693)Time elapsed: 0.006 s
% 0.23/0.45 % (4693)Instructions burned: 18 (million)
% 0.23/0.45 % (4693)------------------------------
% 0.23/0.45 % (4693)------------------------------
% 0.23/0.45 % (4691)Instruction limit reached!
% 0.23/0.45 % (4691)------------------------------
% 0.23/0.45 % (4691)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (4691)Termination reason: Unknown
% 0.23/0.45 % (4691)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (4691)Memory used [KB]: 1023
% 0.23/0.45 % (4691)Time elapsed: 0.004 s
% 0.23/0.45 % (4691)Instructions burned: 4 (million)
% 0.23/0.45 % (4691)------------------------------
% 0.23/0.45 % (4691)------------------------------
% 0.23/0.45 % (4692)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.45 % (4694)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.45 % (4692)Instruction limit reached!
% 0.23/0.45 % (4692)------------------------------
% 0.23/0.45 % (4692)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (4692)Termination reason: Unknown
% 0.23/0.45 % (4692)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (4692)Memory used [KB]: 1023
% 0.23/0.45 % (4692)Time elapsed: 0.004 s
% 0.23/0.45 % (4692)Instructions burned: 4 (million)
% 0.23/0.45 % (4692)------------------------------
% 0.23/0.45 % (4692)------------------------------
% 0.23/0.45 % (4697)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)
% 0.23/0.46 % (4695)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.46 % (4698)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)
% 0.23/0.46 % (4695)Instruction limit reached!
% 0.23/0.46 % (4695)------------------------------
% 0.23/0.46 % (4695)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (4695)Termination reason: Unknown
% 0.23/0.46 % (4695)Termination phase: Property scanning
% 0.23/0.46
% 0.23/0.46 % (4695)Memory used [KB]: 1023
% 0.23/0.46 % (4695)Time elapsed: 0.005 s
% 0.23/0.46 % (4695)Instructions burned: 6 (million)
% 0.23/0.46 % (4695)------------------------------
% 0.23/0.46 % (4695)------------------------------
% 0.23/0.46 % (4699)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.47 % (4699)Instruction limit reached!
% 0.23/0.47 % (4699)------------------------------
% 0.23/0.47 % (4699)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (4699)Termination reason: Unknown
% 0.23/0.47 % (4699)Termination phase: Property scanning
% 0.23/0.47
% 0.23/0.47 % (4699)Memory used [KB]: 1151
% 0.23/0.47 % (4699)Time elapsed: 0.005 s
% 0.23/0.47 % (4699)Instructions burned: 6 (million)
% 0.23/0.47 % (4699)------------------------------
% 0.23/0.47 % (4699)------------------------------
% 0.23/0.47 % (4698)Instruction limit reached!
% 0.23/0.47 % (4698)------------------------------
% 0.23/0.47 % (4698)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (4698)Termination reason: Unknown
% 0.23/0.47 % (4698)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (4698)Memory used [KB]: 5628
% 0.23/0.47 % (4698)Time elapsed: 0.013 s
% 0.23/0.47 % (4698)Instructions burned: 21 (million)
% 0.23/0.47 % (4698)------------------------------
% 0.23/0.47 % (4698)------------------------------
% 0.23/0.48 % (4700)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)
% 0.23/0.48 % (4700)Instruction limit reached!
% 0.23/0.48 % (4700)------------------------------
% 0.23/0.48 % (4700)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (4700)Termination reason: Unknown
% 0.23/0.48 % (4700)Termination phase: Property scanning
% 0.23/0.48
% 0.23/0.48 % (4700)Memory used [KB]: 1151
% 0.23/0.48 % (4700)Time elapsed: 0.005 s
% 0.23/0.48 % (4700)Instructions burned: 7 (million)
% 0.23/0.48 % (4700)------------------------------
% 0.23/0.48 % (4700)------------------------------
% 0.23/0.49 % (4701)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.23/0.49 % (4702)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)
% 0.23/0.49 % (4703)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 (2998ds/19Mi)
% 0.23/0.50 % (4697)First to succeed.
% 0.23/0.50 % (4697)Refutation found. Thanks to Tanya!
% 0.23/0.50 % SZS status Theorem for theBenchmark
% 0.23/0.50 % SZS output start Proof for theBenchmark
% 0.23/0.50 thf(func_def_0, type, in: $i > $i > $o).
% 0.23/0.50 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.23/0.50 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.23/0.50 thf(func_def_8, type, powerset: $i > $i).
% 0.23/0.50 thf(func_def_10, type, setunion: $i > $i).
% 0.23/0.50 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.23/0.50 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.23/0.50 thf(func_def_26, type, prop2set: $o > $i).
% 0.23/0.50 thf(func_def_45, type, sP1: $i > $i > $o).
% 0.23/0.50 thf(func_def_46, type, sP2: $i > $o).
% 0.23/0.50 thf(func_def_47, type, sP3: $i > $i > $o).
% 0.23/0.50 thf(func_def_48, type, sP4: $i > $i > $o).
% 0.23/0.50 thf(func_def_52, type, sK8: $i > $i > $i).
% 0.23/0.50 thf(func_def_53, type, sK9: $i > $o).
% 0.23/0.50 thf(func_def_54, type, sK10: $i > $o).
% 0.23/0.50 thf(func_def_58, type, sK14: $i > $i).
% 0.23/0.50 thf(func_def_65, type, sK21: $i > $i > $o).
% 0.23/0.50 thf(func_def_66, type, sK22: $i > $i).
% 0.23/0.50 thf(func_def_67, type, sK23: $i > $i).
% 0.23/0.50 thf(func_def_68, type, sK24: ($i > $i > $o) > $i > $i).
% 0.23/0.50 thf(func_def_69, type, sK25: ($i > $i > $o) > $i > $i).
% 0.23/0.50 thf(func_def_70, type, sK26: $i > ($i > $i > $o) > $i > $i).
% 0.23/0.50 thf(func_def_71, type, sK27: $i > $o).
% 0.23/0.50 thf(func_def_72, type, sK28: $i > $i).
% 0.23/0.50 thf(func_def_73, type, sK29: ($i > $o) > $i).
% 0.23/0.50 thf(func_def_76, type, sK32: $i > $i > $i).
% 0.23/0.50 thf(func_def_82, type, sK38: ($i > $o) > $i).
% 0.23/0.50 thf(func_def_83, type, sK39: $i > $o).
% 0.23/0.50 thf(func_def_84, type, sK40: $i > $i > $i).
% 0.23/0.50 thf(func_def_88, type, sK44: $i > $i > $i).
% 0.23/0.50 thf(func_def_89, type, sK45: $i > $i > $i).
% 0.23/0.50 thf(func_def_94, type, sK50: $i > $i > $i).
% 0.23/0.50 thf(func_def_95, type, sK51: $i > $i > $i).
% 0.23/0.50 thf(func_def_96, type, sK52: $i > $i > $i).
% 0.23/0.50 thf(func_def_97, type, sK53: $i > $i > $i).
% 0.23/0.50 thf(func_def_98, type, sK54: $i > $i > $i > $i).
% 0.23/0.50 thf(func_def_99, type, sK55: $i > $i).
% 0.23/0.50 thf(func_def_100, type, sK56: $i > $i).
% 0.23/0.50 thf(func_def_101, type, sK57: $i > $i).
% 0.23/0.50 thf(func_def_102, type, sK58: $i > $i).
% 0.23/0.50 thf(func_def_103, type, sK59: $i > $i > $i > $i).
% 0.23/0.50 thf(func_def_104, type, sK60: $i > $i > $i > $i).
% 0.23/0.50 thf(func_def_105, type, sK61: $i > $i > $i).
% 0.23/0.50 thf(func_def_106, type, sK62: $i > $i > $i).
% 0.23/0.50 thf(func_def_107, type, sK63: $i > $i > $i).
% 0.23/0.50 thf(func_def_109, type, sK65: $i > $i).
% 0.23/0.50 thf(func_def_110, type, sK66: $i > $i).
% 0.23/0.50 thf(func_def_111, type, sK67: $i > $i).
% 0.23/0.50 thf(func_def_112, type, sK68: $i > $i > $i).
% 0.23/0.50 thf(func_def_114, type, sK70: $i > $o).
% 0.23/0.50 thf(func_def_119, type, sK75: $i > $o).
% 0.23/0.50 thf(func_def_121, type, sK77: $i > $i).
% 0.23/0.50 thf(func_def_123, type, sK79: $i > $i).
% 0.23/0.50 thf(func_def_125, type, ph81: !>[X0: $tType]:(X0)).
% 0.23/0.50 thf(f1550,plain,(
% 0.23/0.50 $false),
% 0.23/0.50 inference(avatar_sat_refutation,[],[f1250,f1547])).
% 0.23/0.50 thf(f1547,plain,(
% 0.23/0.50 ~spl80_15),
% 0.23/0.50 inference(avatar_contradiction_clause,[],[f1546])).
% 0.23/0.50 thf(f1546,plain,(
% 0.23/0.50 $false | ~spl80_15),
% 0.23/0.50 inference(trivial_inequality_removal,[],[f1524])).
% 0.23/0.50 thf(f1524,plain,(
% 0.23/0.50 (emptyset != emptyset) | ~spl80_15),
% 0.23/0.50 inference(superposition,[],[f281,f813])).
% 0.23/0.50 thf(f813,plain,(
% 0.23/0.50 (emptyset = sK13) | ~spl80_15),
% 0.23/0.50 inference(avatar_component_clause,[],[f811])).
% 0.23/0.50 thf(f811,plain,(
% 0.23/0.50 spl80_15 <=> (emptyset = sK13)),
% 0.23/0.50 introduced(avatar_definition,[new_symbols(naming,[spl80_15])])).
% 0.23/0.50 thf(f281,plain,(
% 0.23/0.50 (emptyset != sK13)),
% 0.23/0.50 inference(cnf_transformation,[],[f127])).
% 0.23/0.50 thf(f127,plain,(
% 0.23/0.50 (descrp = $true) & (setadjoinAx = $true) & ((emptyset != sK13) & ! [X1] : ($true != (in @ X1 @ sK13))) & (omega0Ax = $true) & (omegaSAx = $true) & (dsetconstrER = $true) & (wellorderingAx = $true) & (exuE1 = $true) & (notinemptyset = $true) & (emptysetAx = $true) & (setunionAx = $true) & (prop2setE = $true) & (emptysetE = $true) & (replAx = $true) & (exuE3e = $true) & (foundationAx = $true) & (powersetAx = $true) & (dsetconstrI = $true) & (omegaIndAx = $true) & (setext = $true) & (setextAx = $true) & (dsetconstrEL = $true) & (emptysetimpfalse = $true)),
% 0.23/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f91,f126])).
% 0.23/0.50 thf(f126,plain,(
% 0.23/0.50 ? [X0] : ((emptyset != X0) & ! [X1] : ($true != (in @ X1 @ X0))) => ((emptyset != sK13) & ! [X1] : ($true != (in @ X1 @ sK13)))),
% 0.23/0.50 introduced(choice_axiom,[])).
% 0.23/0.50 thf(f91,plain,(
% 0.23/0.50 (descrp = $true) & (setadjoinAx = $true) & ? [X0] : ((emptyset != X0) & ! [X1] : ($true != (in @ X1 @ X0))) & (omega0Ax = $true) & (omegaSAx = $true) & (dsetconstrER = $true) & (wellorderingAx = $true) & (exuE1 = $true) & (notinemptyset = $true) & (emptysetAx = $true) & (setunionAx = $true) & (prop2setE = $true) & (emptysetE = $true) & (replAx = $true) & (exuE3e = $true) & (foundationAx = $true) & (powersetAx = $true) & (dsetconstrI = $true) & (omegaIndAx = $true) & (setext = $true) & (setextAx = $true) & (dsetconstrEL = $true) & (emptysetimpfalse = $true)),
% 0.23/0.50 inference(flattening,[],[f90])).
% 0.23/0.50 thf(f90,plain,(
% 0.23/0.50 (((((((((((((((((((((? [X0] : ((emptyset != X0) & ! [X1] : ($true != (in @ X1 @ X0))) & (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)),
% 0.23/0.50 inference(ennf_transformation,[],[f77])).
% 0.23/0.50 thf(f77,plain,(
% 0.23/0.50 ~((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 = $true) => ! [X0] : (! [X1] : ($true != (in @ X1 @ X0)) => (emptyset = X0))))))))))))))))))))))))),
% 0.23/0.50 inference(flattening,[],[f41])).
% 0.23/0.50 thf(f41,plain,(
% 0.23/0.50 ~((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 = $true) => ! [X0] : (! [X1] : ~($true = (in @ X1 @ X0)) => (emptyset = X0))))))))))))))))))))))))),
% 0.23/0.50 inference(fool_elimination,[],[f40])).
% 0.23/0.50 thf(f40,plain,(
% 0.23/0.50 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => ! [X0] : (! [X1] : ~(in @ X1 @ X0) => (emptyset = X0))))))))))))))))))))))))),
% 0.23/0.50 inference(rectify,[],[f26])).
% 0.23/0.50 thf(f26,negated_conjecture,(
% 0.23/0.50 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => ! [X3] : (! [X1] : ~(in @ X1 @ X3) => (emptyset = X3))))))))))))))))))))))))),
% 0.23/0.50 inference(negated_conjecture,[],[f25])).
% 0.23/0.50 thf(f25,conjecture,(
% 0.23/0.50 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => ! [X3] : (! [X1] : ~(in @ X1 @ X3) => (emptyset = X3)))))))))))))))))))))))),
% 0.23/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyI)).
% 0.23/0.50 thf(f1250,plain,(
% 0.23/0.50 spl80_15),
% 0.23/0.50 inference(avatar_split_clause,[],[f807,f811])).
% 0.23/0.50 thf(f807,plain,(
% 0.23/0.50 (emptyset = sK13)),
% 0.23/0.50 inference(trivial_inequality_removal,[],[f806])).
% 0.23/0.50 thf(f806,plain,(
% 0.23/0.50 (emptyset = sK13) | ($true != $true)),
% 0.23/0.50 inference(forward_demodulation,[],[f792,f273])).
% 0.23/0.50 thf(f273,plain,(
% 0.23/0.50 (emptysetAx = $true)),
% 0.23/0.50 inference(cnf_transformation,[],[f127])).
% 0.23/0.50 thf(f792,plain,(
% 0.23/0.50 (emptysetAx != $true) | (emptyset = sK13)),
% 0.23/0.50 inference(trivial_inequality_removal,[],[f781])).
% 0.23/0.50 thf(f781,plain,(
% 0.23/0.50 (emptysetAx != $true) | (emptyset = sK13) | ($true != $true)),
% 0.23/0.50 inference(superposition,[],[f292,f528])).
% 0.23/0.50 thf(f528,plain,(
% 0.23/0.50 ( ! [X0 : $i] : (($true = (in @ (sK44 @ X0 @ sK13) @ X0)) | (sK13 = X0)) )),
% 0.23/0.50 inference(trivial_inequality_removal,[],[f527])).
% 0.23/0.50 thf(f527,plain,(
% 0.23/0.50 ( ! [X0 : $i] : (($true = (in @ (sK44 @ X0 @ sK13) @ X0)) | ($true != $true) | (sK13 = X0)) )),
% 0.23/0.50 inference(forward_demodulation,[],[f448,f263])).
% 0.23/0.50 thf(f263,plain,(
% 0.23/0.50 (setext = $true)),
% 0.23/0.50 inference(cnf_transformation,[],[f127])).
% 0.23/0.50 thf(f448,plain,(
% 0.23/0.50 ( ! [X0 : $i] : ((sK13 = X0) | (setext != $true) | ($true = (in @ (sK44 @ X0 @ sK13) @ X0))) )),
% 0.23/0.50 inference(trivial_inequality_removal,[],[f430])).
% 0.23/0.50 thf(f430,plain,(
% 0.23/0.50 ( ! [X0 : $i] : (($true != $true) | ($true = (in @ (sK44 @ X0 @ sK13) @ X0)) | (setext != $true) | (sK13 = X0)) )),
% 0.23/0.50 inference(superposition,[],[f280,f341])).
% 0.23/0.50 thf(f341,plain,(
% 0.23/0.50 ( ! [X0 : $i,X1 : $i] : (($true = (in @ (sK45 @ X1 @ X0) @ X0)) | (X0 = X1) | ($true = (in @ (sK44 @ X1 @ X0) @ X1)) | (setext != $true)) )),
% 0.23/0.50 inference(cnf_transformation,[],[f193])).
% 0.23/0.50 thf(f193,plain,(
% 0.23/0.50 (! [X0,X1] : ((($true != (in @ (sK44 @ X1 @ X0) @ X0)) & ($true = (in @ (sK44 @ X1 @ X0) @ X1))) | (($true = (in @ (sK45 @ X1 @ X0) @ X0)) & ($true != (in @ (sK45 @ X1 @ X0) @ X1))) | (X0 = X1)) | (setext != $true)) & ((setext = $true) | (! [X6] : (($true = (in @ X6 @ sK46)) | ($true != (in @ X6 @ sK47))) & ! [X7] : (($true != (in @ X7 @ sK46)) | ($true = (in @ X7 @ sK47))) & (sK47 != sK46)))),
% 0.23/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47])],[f189,f192,f191,f190])).
% 0.23/0.50 thf(f190,plain,(
% 0.23/0.50 ! [X0,X1] : (? [X2] : (($true != (in @ X2 @ X0)) & ($true = (in @ X2 @ X1))) => (($true != (in @ (sK44 @ X1 @ X0) @ X0)) & ($true = (in @ (sK44 @ X1 @ X0) @ X1))))),
% 0.23/0.50 introduced(choice_axiom,[])).
% 0.23/0.50 thf(f191,plain,(
% 0.23/0.50 ! [X0,X1] : (? [X3] : (($true = (in @ X3 @ X0)) & ($true != (in @ X3 @ X1))) => (($true = (in @ (sK45 @ X1 @ X0) @ X0)) & ($true != (in @ (sK45 @ X1 @ X0) @ X1))))),
% 0.23/0.50 introduced(choice_axiom,[])).
% 0.23/0.50 thf(f192,plain,(
% 0.23/0.50 ? [X4,X5] : (! [X6] : (((in @ X6 @ X4) = $true) | ($true != (in @ X6 @ X5))) & ! [X7] : (((in @ X7 @ X4) != $true) | ($true = (in @ X7 @ X5))) & (X4 != X5)) => (! [X6] : (($true = (in @ X6 @ sK46)) | ($true != (in @ X6 @ sK47))) & ! [X7] : (($true != (in @ X7 @ sK46)) | ($true = (in @ X7 @ sK47))) & (sK47 != sK46))),
% 0.23/0.50 introduced(choice_axiom,[])).
% 0.23/0.50 thf(f189,plain,(
% 0.23/0.50 (! [X0,X1] : (? [X2] : (($true != (in @ X2 @ X0)) & ($true = (in @ X2 @ X1))) | ? [X3] : (($true = (in @ X3 @ X0)) & ($true != (in @ X3 @ X1))) | (X0 = X1)) | (setext != $true)) & ((setext = $true) | ? [X4,X5] : (! [X6] : (((in @ X6 @ X4) = $true) | ($true != (in @ X6 @ X5))) & ! [X7] : (((in @ X7 @ X4) != $true) | ($true = (in @ X7 @ X5))) & (X4 != X5)))),
% 0.23/0.50 inference(rectify,[],[f188])).
% 0.23/0.50 thf(f188,plain,(
% 0.23/0.50 (! [X0,X1] : (? [X3] : (($true != (in @ X3 @ X0)) & ($true = (in @ X3 @ X1))) | ? [X2] : (($true = (in @ X2 @ X0)) & ($true != (in @ X2 @ X1))) | (X0 = X1)) | (setext != $true)) & ((setext = $true) | ? [X0,X1] : (! [X3] : (($true = (in @ X3 @ X0)) | ($true != (in @ X3 @ X1))) & ! [X2] : (($true != (in @ X2 @ X0)) | ($true = (in @ X2 @ X1))) & (X0 != X1)))),
% 0.23/0.50 inference(nnf_transformation,[],[f87])).
% 0.23/0.50 thf(f87,plain,(
% 0.23/0.50 ! [X0,X1] : (? [X3] : (($true != (in @ X3 @ X0)) & ($true = (in @ X3 @ X1))) | ? [X2] : (($true = (in @ X2 @ X0)) & ($true != (in @ X2 @ X1))) | (X0 = X1)) <=> (setext = $true)),
% 0.23/0.50 inference(flattening,[],[f86])).
% 0.23/0.50 thf(f86,plain,(
% 0.23/0.50 (setext = $true) <=> ! [X0,X1] : (((X0 = X1) | ? [X3] : (($true != (in @ X3 @ X0)) & ($true = (in @ X3 @ X1)))) | ? [X2] : (($true = (in @ X2 @ X0)) & ($true != (in @ X2 @ X1))))),
% 0.23/0.50 inference(ennf_transformation,[],[f58])).
% 0.23/0.50 thf(f58,plain,(
% 0.23/0.50 (setext = $true) <=> ! [X0,X1] : (! [X2] : (($true = (in @ X2 @ X0)) => ($true = (in @ X2 @ X1))) => (! [X3] : (($true = (in @ X3 @ X1)) => ($true = (in @ X3 @ X0))) => (X0 = X1)))),
% 0.23/0.50 inference(fool_elimination,[],[f57])).
% 0.23/0.50 thf(f57,plain,(
% 0.23/0.50 (! [X0,X1] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (! [X3] : ((in @ X3 @ X1) => (in @ X3 @ X0)) => (X0 = X1))) = setext)),
% 0.23/0.50 inference(rectify,[],[f24])).
% 0.23/0.50 thf(f24,axiom,(
% 0.23/0.50 (! [X3,X4] : (! [X1] : ((in @ X1 @ X3) => (in @ X1 @ X4)) => (! [X1] : ((in @ X1 @ X4) => (in @ X1 @ X3)) => (X3 = X4))) = setext)),
% 0.23/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext)).
% 0.23/0.50 thf(f280,plain,(
% 0.23/0.50 ( ! [X1 : $i] : (($true != (in @ X1 @ sK13))) )),
% 0.23/0.50 inference(cnf_transformation,[],[f127])).
% 0.23/0.50 thf(f292,plain,(
% 0.23/0.50 ( ! [X1 : $i] : (((in @ X1 @ emptyset) != $true) | (emptysetAx != $true)) )),
% 0.23/0.50 inference(cnf_transformation,[],[f137])).
% 0.23/0.50 thf(f137,plain,(
% 0.23/0.50 ((emptysetAx = $true) | ($true = (in @ sK17 @ emptyset))) & (! [X1] : ((in @ X1 @ emptyset) != $true) | (emptysetAx != $true))),
% 0.23/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f135,f136])).
% 0.23/0.50 thf(f136,plain,(
% 0.23/0.50 ? [X0] : ($true = (in @ X0 @ emptyset)) => ($true = (in @ sK17 @ emptyset))),
% 0.23/0.50 introduced(choice_axiom,[])).
% 0.23/0.50 thf(f135,plain,(
% 0.23/0.50 ((emptysetAx = $true) | ? [X0] : ($true = (in @ X0 @ emptyset))) & (! [X1] : ((in @ X1 @ emptyset) != $true) | (emptysetAx != $true))),
% 0.23/0.50 inference(rectify,[],[f134])).
% 0.23/0.50 thf(f134,plain,(
% 0.23/0.50 ((emptysetAx = $true) | ? [X0] : ($true = (in @ X0 @ emptyset))) & (! [X0] : ($true != (in @ X0 @ emptyset)) | (emptysetAx != $true))),
% 0.23/0.50 inference(nnf_transformation,[],[f81])).
% 0.23/0.50 thf(f81,plain,(
% 0.23/0.50 (emptysetAx = $true) <=> ! [X0] : ($true != (in @ X0 @ emptyset))),
% 0.23/0.50 inference(flattening,[],[f56])).
% 0.23/0.50 thf(f56,plain,(
% 0.23/0.50 (emptysetAx = $true) <=> ! [X0] : ~($true = (in @ X0 @ emptyset))),
% 0.23/0.50 inference(fool_elimination,[],[f55])).
% 0.23/0.50 thf(f55,plain,(
% 0.23/0.50 (emptysetAx = ! [X0] : ~(in @ X0 @ emptyset))),
% 0.23/0.50 inference(rectify,[],[f3])).
% 0.23/0.50 thf(f3,axiom,(
% 0.23/0.50 (emptysetAx = ! [X1] : ~(in @ X1 @ emptyset))),
% 0.23/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetAx)).
% 0.23/0.50 % SZS output end Proof for theBenchmark
% 0.23/0.50 % (4697)------------------------------
% 0.23/0.50 % (4697)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (4697)Termination reason: Refutation
% 0.23/0.50
% 0.23/0.50 % (4697)Memory used [KB]: 6780
% 0.23/0.50 % (4697)Time elapsed: 0.065 s
% 0.23/0.50 % (4697)Instructions burned: 132 (million)
% 0.23/0.50 % (4697)------------------------------
% 0.23/0.50 % (4697)------------------------------
% 0.23/0.50 % (4673)Success in time 0.119 s
% 0.23/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------