TSTP Solution File: SET047^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SET047^1 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 14:49:49 EDT 2024
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET047^1 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n023.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 Jun 23 15:55:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a TH0_THM_EQU_NAR problem
% 0.13/0.36 Running higher-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.13/0.38 % (17507)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)
% 0.13/0.38 % (17502)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.38 % (17504)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)
% 0.13/0.38 % (17506)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)
% 0.13/0.38 % (17503)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)
% 0.13/0.38 % (17505)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (17508)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.38 % (17507)Refutation not found, incomplete strategy
% 0.13/0.38 % (17507)------------------------------
% 0.13/0.38 % (17507)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (17507)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (17507)Memory used [KB]: 5500
% 0.13/0.38 % (17507)Time elapsed: 0.004 s
% 0.13/0.38 % (17507)Instructions burned: 2 (million)
% 0.13/0.38 % (17507)------------------------------
% 0.13/0.38 % (17507)------------------------------
% 0.13/0.38 % (17505)Instruction limit reached!
% 0.13/0.38 % (17505)------------------------------
% 0.13/0.38 % (17505)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (17505)Termination reason: Unknown
% 0.13/0.38 % (17505)Termination phase: Preprocessing 3
% 0.13/0.38
% 0.13/0.38 % (17505)Memory used [KB]: 1023
% 0.13/0.38 % (17505)Time elapsed: 0.003 s
% 0.13/0.38 % (17505)Instructions burned: 2 (million)
% 0.13/0.38 % (17505)------------------------------
% 0.13/0.38 % (17505)------------------------------
% 0.13/0.38 % (17506)Instruction limit reached!
% 0.13/0.38 % (17506)------------------------------
% 0.13/0.38 % (17506)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (17506)Termination reason: Unknown
% 0.13/0.38 % (17506)Termination phase: Function definition elimination
% 0.13/0.38
% 0.13/0.38 % (17506)Memory used [KB]: 1023
% 0.13/0.38 % (17506)Time elapsed: 0.004 s
% 0.13/0.38 % (17506)Instructions burned: 3 (million)
% 0.13/0.38 % (17506)------------------------------
% 0.13/0.38 % (17506)------------------------------
% 0.13/0.38 % (17503)Instruction limit reached!
% 0.13/0.38 % (17503)------------------------------
% 0.13/0.38 % (17503)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (17503)Termination reason: Unknown
% 0.13/0.38 % (17503)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (17503)Memory used [KB]: 5500
% 0.13/0.38 % (17503)Time elapsed: 0.004 s
% 0.13/0.38 % (17503)Instructions burned: 4 (million)
% 0.13/0.38 % (17503)------------------------------
% 0.13/0.38 % (17503)------------------------------
% 0.13/0.39 % (17508)Instruction limit reached!
% 0.13/0.39 % (17508)------------------------------
% 0.13/0.39 % (17508)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (17508)Termination reason: Unknown
% 0.13/0.39 % (17508)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (17508)Memory used [KB]: 5628
% 0.13/0.39 % (17508)Time elapsed: 0.015 s
% 0.13/0.39 % (17508)Instructions burned: 18 (million)
% 0.13/0.39 % (17508)------------------------------
% 0.13/0.39 % (17508)------------------------------
% 0.13/0.40 % (17510)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)
% 0.13/0.40 % (17504)Instruction limit reached!
% 0.13/0.40 % (17504)------------------------------
% 0.13/0.40 % (17504)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.40 % (17504)Termination reason: Unknown
% 0.13/0.40 % (17504)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (17504)Memory used [KB]: 5628
% 0.13/0.40 % (17504)Time elapsed: 0.019 s
% 0.13/0.40 % (17504)Instructions burned: 27 (million)
% 0.13/0.40 % (17504)------------------------------
% 0.13/0.40 % (17504)------------------------------
% 0.13/0.40 % (17509)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)
% 0.13/0.40 % (17511)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)
% 0.13/0.40 % (17512)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)
% 0.13/0.40 % (17509)Instruction limit reached!
% 0.13/0.40 % (17509)------------------------------
% 0.13/0.40 % (17509)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.40 % (17509)Termination reason: Unknown
% 0.13/0.40 % (17509)Termination phase: Property scanning
% 0.13/0.40
% 0.13/0.40 % (17509)Memory used [KB]: 1023
% 0.13/0.40 % (17509)Time elapsed: 0.004 s
% 0.13/0.40 % (17509)Instructions burned: 3 (million)
% 0.13/0.40 % (17509)------------------------------
% 0.13/0.40 % (17509)------------------------------
% 0.13/0.40 % (17512)Instruction limit reached!
% 0.13/0.40 % (17512)------------------------------
% 0.13/0.40 % (17512)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.40 % (17512)Termination reason: Unknown
% 0.13/0.40 % (17512)Termination phase: Property scanning
% 0.13/0.40
% 0.13/0.40 % (17512)Memory used [KB]: 1023
% 0.13/0.40 % (17512)Time elapsed: 0.004 s
% 0.13/0.40 % (17512)Instructions burned: 3 (million)
% 0.13/0.40 % (17512)------------------------------
% 0.13/0.40 % (17512)------------------------------
% 0.22/0.40 % (17511)Refutation not found, incomplete strategy
% 0.22/0.40 % (17511)------------------------------
% 0.22/0.40 % (17511)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.40 % (17511)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 % (17511)Memory used [KB]: 5628
% 0.22/0.40 % (17511)Time elapsed: 0.006 s
% 0.22/0.40 % (17511)Instructions burned: 5 (million)
% 0.22/0.40 % (17511)------------------------------
% 0.22/0.40 % (17511)------------------------------
% 0.22/0.41 % (17513)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)
% 0.22/0.41 % (17514)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (17515)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.42 % (17516)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)
% 0.22/0.42 % (17510)Instruction limit reached!
% 0.22/0.42 % (17510)------------------------------
% 0.22/0.42 % (17510)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (17516)Instruction limit reached!
% 0.22/0.42 % (17516)------------------------------
% 0.22/0.42 % (17516)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (17516)Termination reason: Unknown
% 0.22/0.42 % (17510)Termination reason: Unknown
% 0.22/0.42 % (17516)Termination phase: Function definition elimination
% 0.22/0.42 % (17510)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (17516)Memory used [KB]: 1023
% 0.22/0.42 % (17510)Memory used [KB]: 5756
% 0.22/0.42 % (17516)Time elapsed: 0.004 s
% 0.22/0.42 % (17510)Time elapsed: 0.023 s
% 0.22/0.42 % (17516)Instructions burned: 3 (million)
% 0.22/0.42 % (17510)Instructions burned: 37 (million)
% 0.22/0.42 % (17516)------------------------------
% 0.22/0.42 % (17516)------------------------------
% 0.22/0.42 % (17510)------------------------------
% 0.22/0.42 % (17510)------------------------------
% 0.22/0.42 % (17514)Instruction limit reached!
% 0.22/0.42 % (17514)------------------------------
% 0.22/0.42 % (17514)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (17514)Termination reason: Unknown
% 0.22/0.42 % (17514)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (17514)Memory used [KB]: 1023
% 0.22/0.42 % (17514)Time elapsed: 0.007 s
% 0.22/0.42 % (17514)Instructions burned: 7 (million)
% 0.22/0.42 % (17514)------------------------------
% 0.22/0.42 % (17514)------------------------------
% 0.22/0.42 % (17517)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)
% 0.22/0.42 % (17517)Instruction limit reached!
% 0.22/0.42 % (17517)------------------------------
% 0.22/0.42 % (17517)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (17517)Termination reason: Unknown
% 0.22/0.42 % (17517)Termination phase: Function definition elimination
% 0.22/0.42
% 0.22/0.42 % (17517)Memory used [KB]: 1023
% 0.22/0.42 % (17517)Time elapsed: 0.004 s
% 0.22/0.42 % (17517)Instructions burned: 3 (million)
% 0.22/0.42 % (17517)------------------------------
% 0.22/0.42 % (17517)------------------------------
% 0.22/0.43 % (17515)Instruction limit reached!
% 0.22/0.43 % (17515)------------------------------
% 0.22/0.43 % (17515)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (17515)Termination reason: Unknown
% 0.22/0.43 % (17515)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (17515)Memory used [KB]: 5756
% 0.22/0.43 % (17515)Time elapsed: 0.014 s
% 0.22/0.43 % (17515)Instructions burned: 16 (million)
% 0.22/0.43 % (17515)------------------------------
% 0.22/0.43 % (17515)------------------------------
% 0.22/0.43 % (17518)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)
% 0.22/0.43 % (17519)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)
% 0.22/0.43 % (17520)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.44 % (17519)Instruction limit reached!
% 0.22/0.44 % (17519)------------------------------
% 0.22/0.44 % (17519)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (17519)Termination reason: Unknown
% 0.22/0.44 % (17519)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (17519)Memory used [KB]: 1023
% 0.22/0.44 % (17519)Time elapsed: 0.004 s
% 0.22/0.44 % (17519)Instructions burned: 3 (million)
% 0.22/0.44 % (17519)------------------------------
% 0.22/0.44 % (17519)------------------------------
% 0.22/0.44 % (17521)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)
% 0.22/0.44 % (17518)Refutation not found, incomplete strategy
% 0.22/0.44 % (17518)------------------------------
% 0.22/0.44 % (17518)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (17518)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 % (17518)Memory used [KB]: 5500
% 0.22/0.44 % (17518)Time elapsed: 0.005 s
% 0.22/0.44 % (17518)Instructions burned: 4 (million)
% 0.22/0.44 % (17518)------------------------------
% 0.22/0.44 % (17518)------------------------------
% 0.22/0.44 % (17520)Instruction limit reached!
% 0.22/0.44 % (17520)------------------------------
% 0.22/0.44 % (17520)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (17520)Termination reason: Unknown
% 0.22/0.44 % (17520)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (17520)Memory used [KB]: 5500
% 0.22/0.44 % (17520)Time elapsed: 0.005 s
% 0.22/0.44 % (17520)Instructions burned: 5 (million)
% 0.22/0.44 % (17520)------------------------------
% 0.22/0.44 % (17520)------------------------------
% 0.22/0.44 % (17522)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.45 % (17521)Instruction limit reached!
% 0.22/0.45 % (17521)------------------------------
% 0.22/0.45 % (17521)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (17521)Termination reason: Unknown
% 0.22/0.45 % (17521)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (17521)Memory used [KB]: 5628
% 0.22/0.45 % (17521)Time elapsed: 0.015 s
% 0.22/0.45 % (17521)Instructions burned: 19 (million)
% 0.22/0.45 % (17521)------------------------------
% 0.22/0.45 % (17521)------------------------------
% 0.22/0.45 % (17523)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.45 % (17525)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)
% 0.22/0.45 % (17524)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)
% 0.22/0.46 % (17523)Instruction limit reached!
% 0.22/0.46 % (17523)------------------------------
% 0.22/0.46 % (17523)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (17523)Termination reason: Unknown
% 0.22/0.46 % (17523)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (17523)Memory used [KB]: 5500
% 0.22/0.46 % (17523)Time elapsed: 0.006 s
% 0.22/0.46 % (17523)Instructions burned: 6 (million)
% 0.22/0.46 % (17523)------------------------------
% 0.22/0.46 % (17523)------------------------------
% 0.22/0.46 % (17524)Refutation not found, incomplete strategy
% 0.22/0.46 % (17524)------------------------------
% 0.22/0.46 % (17524)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (17524)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 % (17524)Memory used [KB]: 5500
% 0.22/0.46 % (17524)Time elapsed: 0.005 s
% 0.22/0.46 % (17524)Instructions burned: 3 (million)
% 0.22/0.46 % (17524)------------------------------
% 0.22/0.46 % (17524)------------------------------
% 0.22/0.47 % (17527)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.47 % (17525)Instruction limit reached!
% 0.22/0.47 % (17525)------------------------------
% 0.22/0.47 % (17525)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (17525)Termination reason: Unknown
% 0.22/0.47 % (17525)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (17525)Memory used [KB]: 5628
% 0.22/0.47 % (17525)Time elapsed: 0.016 s
% 0.22/0.47 % (17525)Instructions burned: 22 (million)
% 0.22/0.47 % (17525)------------------------------
% 0.22/0.47 % (17525)------------------------------
% 0.22/0.47 % (17527)Instruction limit reached!
% 0.22/0.47 % (17527)------------------------------
% 0.22/0.47 % (17527)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (17527)Termination reason: Unknown
% 0.22/0.47 % (17527)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (17527)Memory used [KB]: 5500
% 0.22/0.47 % (17527)Time elapsed: 0.006 s
% 0.22/0.47 % (17527)Instructions burned: 6 (million)
% 0.22/0.47 % (17527)------------------------------
% 0.22/0.47 % (17527)------------------------------
% 0.22/0.47 % (17530)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)
% 0.22/0.47 % (17532)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.47 % (17530)Refutation not found, incomplete strategy
% 0.22/0.47 % (17530)------------------------------
% 0.22/0.47 % (17530)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (17530)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 % (17530)Memory used [KB]: 5500
% 0.22/0.47 % (17530)Time elapsed: 0.004 s
% 0.22/0.47 % (17530)Instructions burned: 3 (million)
% 0.22/0.47 % (17530)------------------------------
% 0.22/0.47 % (17530)------------------------------
% 0.22/0.48 % (17502)Instruction limit reached!
% 0.22/0.48 % (17502)------------------------------
% 0.22/0.48 % (17502)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (17502)Termination reason: Unknown
% 0.22/0.48 % (17502)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (17502)Memory used [KB]: 6140
% 0.22/0.48 % (17502)Time elapsed: 0.102 s
% 0.22/0.48 % (17502)Instructions burned: 184 (million)
% 0.22/0.48 % (17502)------------------------------
% 0.22/0.48 % (17502)------------------------------
% 0.22/0.48 % (17538)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)
% 0.22/0.49 % (17540)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)
% 0.22/0.49 % (17540)Refutation not found, incomplete strategy
% 0.22/0.49 % (17540)------------------------------
% 0.22/0.49 % (17540)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (17540)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % (17540)Memory used [KB]: 5500
% 0.22/0.49 % (17540)Time elapsed: 0.004 s
% 0.22/0.49 % (17540)Instructions burned: 3 (million)
% 0.22/0.49 % (17540)------------------------------
% 0.22/0.49 % (17540)------------------------------
% 0.22/0.49 % (17543)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)
% 0.22/0.49 % (17532)First to succeed.
% 0.22/0.49 % (17532)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Theorem for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% 0.22/0.49 thf(type_def_5, type, mworld: $tType).
% 0.22/0.49 thf(func_def_0, type, mworld: $tType).
% 0.22/0.49 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.22/0.49 thf(func_def_2, type, mactual: mworld).
% 0.22/0.49 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.22/0.49 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.22/0.49 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.22/0.49 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.22/0.49 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.22/0.49 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.22/0.49 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.22/0.49 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.22/0.49 thf(func_def_12, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.22/0.49 thf(func_def_13, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.22/0.49 thf(func_def_14, type, set_equal: $i > $i > mworld > $o).
% 0.22/0.49 thf(func_def_15, type, element: $i > $i > mworld > $o).
% 0.22/0.49 thf(func_def_34, type, sK3: $i > $i > $i).
% 0.22/0.49 thf(f259,plain,(
% 0.22/0.49 $false),
% 0.22/0.49 inference(avatar_sat_refutation,[],[f87,f96,f99,f244,f255,f258])).
% 0.22/0.49 thf(f258,plain,(
% 0.22/0.49 ~spl0_1 | ~spl0_4),
% 0.22/0.49 inference(avatar_contradiction_clause,[],[f257])).
% 0.22/0.49 thf(f257,plain,(
% 0.22/0.49 $false | (~spl0_1 | ~spl0_4)),
% 0.22/0.49 inference(trivial_inequality_removal,[],[f256])).
% 0.22/0.49 thf(f256,plain,(
% 0.22/0.49 ($false = $true) | (~spl0_1 | ~spl0_4)),
% 0.22/0.49 inference(forward_demodulation,[],[f82,f95])).
% 0.22/0.49 thf(f95,plain,(
% 0.22/0.49 ((set_equal @ sK1 @ sK2 @ mactual) = $false) | ~spl0_4),
% 0.22/0.49 inference(avatar_component_clause,[],[f93])).
% 0.22/0.49 thf(f93,plain,(
% 0.22/0.49 spl0_4 <=> ((set_equal @ sK1 @ sK2 @ mactual) = $false)),
% 0.22/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.22/0.49 thf(f82,plain,(
% 0.22/0.49 ((set_equal @ sK1 @ sK2 @ mactual) = $true) | ~spl0_1),
% 0.22/0.49 inference(avatar_component_clause,[],[f80])).
% 0.22/0.49 thf(f80,plain,(
% 0.22/0.49 spl0_1 <=> ((set_equal @ sK1 @ sK2 @ mactual) = $true)),
% 0.22/0.49 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.22/0.49 thf(f255,plain,(
% 0.22/0.49 ~spl0_2 | ~spl0_4),
% 0.22/0.49 inference(avatar_contradiction_clause,[],[f254])).
% 0.22/0.49 thf(f254,plain,(
% 0.22/0.49 $false | (~spl0_2 | ~spl0_4)),
% 0.22/0.49 inference(trivial_inequality_removal,[],[f253])).
% 0.22/0.49 thf(f253,plain,(
% 0.22/0.49 ($false = $true) | (~spl0_2 | ~spl0_4)),
% 0.22/0.49 inference(forward_demodulation,[],[f248,f95])).
% 0.22/0.49 thf(f248,plain,(
% 0.22/0.49 ((set_equal @ sK1 @ sK2 @ mactual) = $true) | ~spl0_2),
% 0.22/0.49 inference(trivial_inequality_removal,[],[f246])).
% 0.22/0.49 thf(f246,plain,(
% 0.22/0.49 ($false = $true) | ((set_equal @ sK1 @ sK2 @ mactual) = $true) | ~spl0_2),
% 0.22/0.49 inference(superposition,[],[f86,f226])).
% 0.22/0.49 thf(f226,plain,(
% 0.22/0.49 ( ! [X0 : $i,X1 : $i] : (($false = (set_equal @ X1 @ X0 @ mactual)) | ((set_equal @ X0 @ X1 @ mactual) = $true)) )),
% 0.22/0.49 inference(trivial_inequality_removal,[],[f225])).
% 0.22/0.49 thf(f225,plain,(
% 0.22/0.49 ( ! [X0 : $i,X1 : $i] : (((set_equal @ X0 @ X1 @ mactual) = $true) | ($false = $true) | ($false = (set_equal @ X1 @ X0 @ mactual))) )),
% 0.22/0.49 inference(duplicate_literal_removal,[],[f210])).
% 0.22/0.49 thf(f210,plain,(
% 0.22/0.49 ( ! [X0 : $i,X1 : $i] : (($false = $true) | ($false = (set_equal @ X1 @ X0 @ mactual)) | ($false = (set_equal @ X1 @ X0 @ mactual)) | ((set_equal @ X0 @ X1 @ mactual) = $true) | ($false = $true) | ((set_equal @ X0 @ X1 @ mactual) = $true)) )),
% 0.22/0.50 inference(superposition,[],[f132,f198])).
% 0.22/0.50 thf(f198,plain,(
% 0.22/0.50 ( ! [X0 : $i,X1 : $i] : (((element @ (sK3 @ X0 @ X1) @ X0 @ mactual) = $true) | ($false = (set_equal @ X1 @ X0 @ mactual)) | ((set_equal @ X0 @ X1 @ mactual) = $true)) )),
% 0.22/0.50 inference(trivial_inequality_removal,[],[f197])).
% 0.22/0.50 thf(f197,plain,(
% 0.22/0.50 ( ! [X0 : $i,X1 : $i] : (($false = (set_equal @ X1 @ X0 @ mactual)) | ((element @ (sK3 @ X0 @ X1) @ X0 @ mactual) = $true) | ($false = $true) | ((set_equal @ X0 @ X1 @ mactual) = $true)) )),
% 0.22/0.50 inference(duplicate_literal_removal,[],[f188])).
% 0.22/0.50 thf(f188,plain,(
% 0.22/0.50 ( ! [X0 : $i,X1 : $i] : (((element @ (sK3 @ X0 @ X1) @ X0 @ mactual) = $true) | ((set_equal @ X0 @ X1 @ mactual) = $true) | ((set_equal @ X0 @ X1 @ mactual) = $true) | ($false = (set_equal @ X1 @ X0 @ mactual)) | ($false = $true) | ($false = (set_equal @ X1 @ X0 @ mactual))) )),
% 0.22/0.50 inference(superposition,[],[f72,f180])).
% 0.22/0.50 thf(f180,plain,(
% 0.22/0.50 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (element @ (sK3 @ X0 @ X1) @ X2 @ mactual)) | ($false = (set_equal @ X1 @ X0 @ mactual)) | ((set_equal @ X0 @ X1 @ mactual) = $true) | ($false = (set_equal @ X2 @ X0 @ mactual))) )),
% 0.22/0.50 inference(trivial_inequality_removal,[],[f171])).
% 0.22/0.50 thf(f171,plain,(
% 0.22/0.50 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (element @ (sK3 @ X0 @ X1) @ X2 @ mactual)) | ((set_equal @ X0 @ X1 @ mactual) = $true) | ($false = (set_equal @ X1 @ X0 @ mactual)) | ($false = (set_equal @ X2 @ X0 @ mactual)) | ($false = $true)) )),
% 0.22/0.50 inference(superposition,[],[f167,f77])).
% 0.22/0.50 thf(f77,plain,(
% 0.22/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (element @ X3 @ X2 @ mactual)) | ($false = (set_equal @ X1 @ X2 @ mactual)) | ($false = (element @ X3 @ X1 @ mactual))) )),
% 0.22/0.50 inference(binary_proxy_clausification,[],[f76])).
% 0.22/0.50 thf(f76,plain,(
% 0.22/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((element @ X3 @ X2 @ mactual) = (element @ X3 @ X1 @ mactual)) | ($false = (set_equal @ X1 @ X2 @ mactual))) )),
% 0.22/0.50 inference(binary_proxy_clausification,[],[f75])).
% 0.22/0.50 thf(f75,plain,(
% 0.22/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (set_equal @ X1 @ X2 @ mactual)) | ($true = ((element @ X3 @ X1 @ mactual) = (element @ X3 @ X2 @ mactual)))) )),
% 0.22/0.50 inference(beta_eta_normalization,[],[f74])).
% 0.22/0.50 thf(f74,plain,(
% 0.22/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (set_equal @ X1 @ X2 @ mactual)) | ($true = ((^[Y0 : $i]: ((element @ Y0 @ X1 @ mactual) = (element @ Y0 @ X2 @ mactual))) @ X3))) )),
% 0.22/0.50 inference(pi_clausification,[],[f67])).
% 0.22/0.50 thf(f67,plain,(
% 0.22/0.50 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((element @ Y0 @ X1 @ mactual) = (element @ Y0 @ X2 @ mactual))))) | ($false = (set_equal @ X1 @ X2 @ mactual))) )),
% 0.22/0.50 inference(binary_proxy_clausification,[],[f66])).
% 0.22/0.50 thf(f66,plain,(
% 0.22/0.50 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((element @ Y0 @ X1 @ mactual) = (element @ Y0 @ X2 @ mactual)))) = (set_equal @ X1 @ X2 @ mactual))) )),
% 0.22/0.50 inference(binary_proxy_clausification,[],[f65])).
% 0.22/0.50 thf(f65,plain,(
% 0.22/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((set_equal @ X1 @ X2 @ mactual) = (!! @ $i @ (^[Y0 : $i]: ((element @ Y0 @ X1 @ mactual) = (element @ Y0 @ X2 @ mactual))))))) )),
% 0.22/0.50 inference(beta_eta_normalization,[],[f64])).
% 0.22/0.50 thf(f64,plain,(
% 0.22/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((set_equal @ X1 @ Y0 @ mactual) = (!! @ $i @ (^[Y1 : $i]: ((element @ Y1 @ X1 @ mactual) = (element @ Y1 @ Y0 @ mactual)))))) @ X2))) )),
% 0.22/0.50 inference(pi_clausification,[],[f63])).
% 0.22/0.50 thf(f63,plain,(
% 0.22/0.50 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((set_equal @ X1 @ Y0 @ mactual) = (!! @ $i @ (^[Y1 : $i]: ((element @ Y1 @ X1 @ mactual) = (element @ Y1 @ Y0 @ mactual))))))) = $true)) )),
% 0.22/0.50 inference(beta_eta_normalization,[],[f62])).
% 0.22/0.50 thf(f62,plain,(
% 0.22/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((set_equal @ Y0 @ Y1 @ mactual) = (!! @ $i @ (^[Y2 : $i]: ((element @ Y2 @ Y0 @ mactual) = (element @ Y2 @ Y1 @ mactual)))))))) @ X1))) )),
% 0.22/0.50 inference(pi_clausification,[],[f61])).
% 0.22/0.50 thf(f61,plain,(
% 0.22/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((set_equal @ Y0 @ Y1 @ mactual) = (!! @ $i @ (^[Y2 : $i]: ((element @ Y2 @ Y0 @ mactual) = (element @ Y2 @ Y1 @ mactual))))))))))),
% 0.22/0.50 inference(beta_eta_normalization,[],[f52])).
% 0.22/0.50 thf(f52,plain,(
% 0.22/0.50 (((^[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))))))) @ (set_equal @ 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))))))) @ (element @ Y2 @ Y0) @ (element @ Y2 @ Y1)))))))))) = $true)),
% 0.22/0.50 inference(definition_unfolding,[],[f44,f50,f45,f45,f48,f45,f48])).
% 0.22/0.50 thf(f48,plain,(
% 0.22/0.50 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.22/0.50 inference(cnf_transformation,[],[f31])).
% 0.22/0.50 thf(f31,plain,(
% 0.22/0.50 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.22/0.50 inference(fool_elimination,[],[f30])).
% 0.22/0.50 thf(f30,plain,(
% 0.22/0.50 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) <=> (X1 @ X2))) = mequiv)),
% 0.22/0.50 inference(rectify,[],[f6])).
% 0.22/0.50 thf(f6,axiom,(
% 0.22/0.50 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X3 @ X2))) = mequiv)),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv_def)).
% 0.22/0.50 thf(f45,plain,(
% 0.22/0.50 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.50 inference(cnf_transformation,[],[f35])).
% 0.22/0.50 thf(f35,plain,(
% 0.22/0.50 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.50 inference(fool_elimination,[],[f34])).
% 0.22/0.50 thf(f34,plain,(
% 0.22/0.50 (mforall_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : (X0 @ X2 @ X1))))),
% 0.22/0.50 inference(rectify,[],[f9])).
% 0.22/0.50 thf(f9,axiom,(
% 0.22/0.50 (mforall_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5] : (X1 @ X5 @ X2))))),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def)).
% 0.22/0.50 thf(f50,plain,(
% 0.22/0.50 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.22/0.50 inference(cnf_transformation,[],[f27])).
% 0.22/0.50 thf(f27,plain,(
% 0.22/0.50 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.22/0.50 inference(fool_elimination,[],[f1])).
% 0.22/0.50 thf(f1,axiom,(
% 0.22/0.50 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.22/0.50 thf(f44,plain,(
% 0.22/0.50 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (set_equal @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mequiv @ (element @ Y2 @ Y0) @ (element @ Y2 @ Y1)))))))))) = $true)),
% 0.22/0.50 inference(cnf_transformation,[],[f33])).
% 0.22/0.50 thf(f33,plain,(
% 0.22/0.50 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (set_equal @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mequiv @ (element @ Y2 @ Y0) @ (element @ Y2 @ Y1)))))))))) = $true)),
% 0.22/0.50 inference(fool_elimination,[],[f32])).
% 0.22/0.50 thf(f32,plain,(
% 0.22/0.50 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (set_equal @ X0 @ X1) @ (mforall_di @ (^[X2 : $i] : (mequiv @ (element @ X2 @ X0) @ (element @ X2 @ X1))))))))))),
% 0.22/0.50 inference(rectify,[],[f11])).
% 0.22/0.50 thf(f11,axiom,(
% 0.22/0.50 (mlocal @ (mforall_di @ (^[X5 : $i] : (mforall_di @ (^[X6 : $i] : (mequiv @ (set_equal @ X5 @ X6) @ (mforall_di @ (^[X7 : $i] : (mequiv @ (element @ X7 @ X5) @ (element @ X7 @ X6))))))))))),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel43_1)).
% 0.22/0.50 thf(f167,plain,(
% 0.22/0.50 ( ! [X0 : $i,X1 : $i] : (($false = (element @ (sK3 @ X0 @ X1) @ X0 @ mactual)) | ($false = (set_equal @ X1 @ X0 @ mactual)) | ((set_equal @ X0 @ X1 @ mactual) = $true)) )),
% 0.22/0.50 inference(trivial_inequality_removal,[],[f157])).
% 0.22/0.50 thf(f157,plain,(
% 0.22/0.50 ( ! [X0 : $i,X1 : $i] : (($false = (element @ (sK3 @ X0 @ X1) @ X0 @ mactual)) | ((set_equal @ X0 @ X1 @ mactual) = $true) | ($false != $false) | ($false = (set_equal @ X1 @ X0 @ mactual))) )),
% 0.22/0.50 inference(equality_factoring,[],[f132])).
% 0.22/0.50 thf(f72,plain,(
% 0.22/0.50 ( ! [X2 : $i,X1 : $i] : (($true = (element @ (sK3 @ X1 @ X2) @ X2 @ mactual)) | ($true = (set_equal @ X1 @ X2 @ mactual)) | ($true = (element @ (sK3 @ X1 @ X2) @ X1 @ mactual))) )),
% 0.22/0.50 inference(binary_proxy_clausification,[],[f71])).
% 0.22/0.50 thf(f71,plain,(
% 0.22/0.50 ( ! [X2 : $i,X1 : $i] : (($true = (set_equal @ X1 @ X2 @ mactual)) | ((element @ (sK3 @ X1 @ X2) @ X2 @ mactual) != (element @ (sK3 @ X1 @ X2) @ X1 @ mactual))) )),
% 0.22/0.50 inference(binary_proxy_clausification,[],[f70])).
% 0.22/0.50 thf(f70,plain,(
% 0.22/0.50 ( ! [X2 : $i,X1 : $i] : (($false = ((element @ (sK3 @ X1 @ X2) @ X1 @ mactual) = (element @ (sK3 @ X1 @ X2) @ X2 @ mactual))) | ($true = (set_equal @ X1 @ X2 @ mactual))) )),
% 0.22/0.50 inference(beta_eta_normalization,[],[f69])).
% 0.22/0.50 thf(f69,plain,(
% 0.22/0.50 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((element @ Y0 @ X1 @ mactual) = (element @ Y0 @ X2 @ mactual))) @ (sK3 @ X1 @ X2)) = $false) | ($true = (set_equal @ X1 @ X2 @ mactual))) )),
% 0.22/0.50 inference(sigma_clausification,[],[f68])).
% 0.22/0.50 thf(f68,plain,(
% 0.22/0.50 ( ! [X2 : $i,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((element @ Y0 @ X1 @ mactual) = (element @ Y0 @ X2 @ mactual))))) | ($true = (set_equal @ X1 @ X2 @ mactual))) )),
% 0.22/0.50 inference(binary_proxy_clausification,[],[f66])).
% 0.22/0.50 thf(f132,plain,(
% 0.22/0.50 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (element @ (sK3 @ X0 @ X1) @ X2 @ mactual)) | ($false = (set_equal @ X1 @ X2 @ mactual)) | ($false = (element @ (sK3 @ X0 @ X1) @ X0 @ mactual)) | ((set_equal @ X0 @ X1 @ mactual) = $true)) )),
% 0.22/0.50 inference(trivial_inequality_removal,[],[f114])).
% 0.22/0.50 thf(f114,plain,(
% 0.22/0.50 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (set_equal @ X1 @ X2 @ mactual)) | ($false = $true) | ($false = (element @ (sK3 @ X0 @ X1) @ X2 @ mactual)) | ($false = (element @ (sK3 @ X0 @ X1) @ X0 @ mactual)) | ((set_equal @ X0 @ X1 @ mactual) = $true)) )),
% 0.22/0.50 inference(superposition,[],[f73,f78])).
% 0.22/0.50 thf(f78,plain,(
% 0.22/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (element @ X3 @ X1 @ mactual)) | ($false = (element @ X3 @ X2 @ mactual)) | ($false = (set_equal @ X1 @ X2 @ mactual))) )),
% 0.22/0.50 inference(binary_proxy_clausification,[],[f76])).
% 0.22/0.50 thf(f73,plain,(
% 0.22/0.50 ( ! [X2 : $i,X1 : $i] : (($false = (element @ (sK3 @ X1 @ X2) @ X2 @ mactual)) | ($true = (set_equal @ X1 @ X2 @ mactual)) | ($false = (element @ (sK3 @ X1 @ X2) @ X1 @ mactual))) )),
% 0.22/0.50 inference(binary_proxy_clausification,[],[f71])).
% 0.22/0.50 thf(f86,plain,(
% 0.22/0.50 ((set_equal @ sK2 @ sK1 @ mactual) = $true) | ~spl0_2),
% 0.22/0.50 inference(avatar_component_clause,[],[f84])).
% 0.22/0.50 thf(f84,plain,(
% 0.22/0.50 spl0_2 <=> ((set_equal @ sK2 @ sK1 @ mactual) = $true)),
% 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.22/0.50 thf(f244,plain,(
% 0.22/0.50 ~spl0_1 | ~spl0_3),
% 0.22/0.50 inference(avatar_contradiction_clause,[],[f243])).
% 0.22/0.50 thf(f243,plain,(
% 0.22/0.50 $false | (~spl0_1 | ~spl0_3)),
% 0.22/0.50 inference(trivial_inequality_removal,[],[f242])).
% 0.22/0.50 thf(f242,plain,(
% 0.22/0.50 ($false = $true) | (~spl0_1 | ~spl0_3)),
% 0.22/0.50 inference(forward_demodulation,[],[f236,f91])).
% 0.22/0.50 thf(f91,plain,(
% 0.22/0.50 ((set_equal @ sK2 @ sK1 @ mactual) = $false) | ~spl0_3),
% 0.22/0.50 inference(avatar_component_clause,[],[f89])).
% 0.22/0.50 thf(f89,plain,(
% 0.22/0.50 spl0_3 <=> ((set_equal @ sK2 @ sK1 @ mactual) = $false)),
% 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.22/0.50 thf(f236,plain,(
% 0.22/0.50 ((set_equal @ sK2 @ sK1 @ mactual) = $true) | ~spl0_1),
% 0.22/0.50 inference(trivial_inequality_removal,[],[f232])).
% 0.22/0.50 thf(f232,plain,(
% 0.22/0.50 ((set_equal @ sK2 @ sK1 @ mactual) = $true) | ($false = $true) | ~spl0_1),
% 0.22/0.50 inference(superposition,[],[f82,f226])).
% 0.22/0.50 thf(f99,plain,(
% 0.22/0.50 ~spl0_2 | ~spl0_3),
% 0.22/0.50 inference(avatar_contradiction_clause,[],[f98])).
% 0.22/0.50 thf(f98,plain,(
% 0.22/0.50 $false | (~spl0_2 | ~spl0_3)),
% 0.22/0.50 inference(trivial_inequality_removal,[],[f97])).
% 0.22/0.50 thf(f97,plain,(
% 0.22/0.50 ($false = $true) | (~spl0_2 | ~spl0_3)),
% 0.22/0.50 inference(forward_demodulation,[],[f86,f91])).
% 0.22/0.50 thf(f96,plain,(
% 0.22/0.50 spl0_3 | spl0_4),
% 0.22/0.50 inference(avatar_split_clause,[],[f60,f93,f89])).
% 0.22/0.50 thf(f60,plain,(
% 0.22/0.50 ((set_equal @ sK2 @ sK1 @ mactual) = $false) | ((set_equal @ sK1 @ sK2 @ mactual) = $false)),
% 0.22/0.50 inference(binary_proxy_clausification,[],[f58])).
% 0.22/0.50 thf(f58,plain,(
% 0.22/0.50 ((set_equal @ sK1 @ sK2 @ mactual) != (set_equal @ sK2 @ sK1 @ mactual))),
% 0.22/0.50 inference(binary_proxy_clausification,[],[f57])).
% 0.22/0.50 thf(f57,plain,(
% 0.22/0.50 ($false = ((set_equal @ sK1 @ sK2 @ mactual) = (set_equal @ sK2 @ sK1 @ mactual)))),
% 0.22/0.50 inference(beta_eta_normalization,[],[f56])).
% 0.22/0.50 thf(f56,plain,(
% 0.22/0.50 ($false = ((^[Y0 : $i]: ((set_equal @ sK1 @ Y0 @ mactual) = (set_equal @ Y0 @ sK1 @ mactual))) @ sK2))),
% 0.22/0.50 inference(sigma_clausification,[],[f55])).
% 0.22/0.50 thf(f55,plain,(
% 0.22/0.50 ((!! @ $i @ (^[Y0 : $i]: ((set_equal @ sK1 @ Y0 @ mactual) = (set_equal @ Y0 @ sK1 @ mactual)))) = $false)),
% 0.22/0.50 inference(beta_eta_normalization,[],[f54])).
% 0.22/0.50 thf(f54,plain,(
% 0.22/0.50 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((set_equal @ Y0 @ Y1 @ mactual) = (set_equal @ Y1 @ Y0 @ mactual))))) @ sK1))),
% 0.22/0.50 inference(sigma_clausification,[],[f53])).
% 0.22/0.50 thf(f53,plain,(
% 0.22/0.50 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((set_equal @ Y0 @ Y1 @ mactual) = (set_equal @ Y1 @ Y0 @ mactual)))))) != $true)),
% 0.22/0.50 inference(beta_eta_normalization,[],[f51])).
% 0.22/0.50 thf(f51,plain,(
% 0.22/0.50 ($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 > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (set_equal @ Y0 @ Y1) @ (set_equal @ Y1 @ Y0))))))))),
% 0.22/0.50 inference(definition_unfolding,[],[f40,f50,f45,f45,f48])).
% 0.22/0.50 thf(f40,plain,(
% 0.22/0.50 ($true != (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (set_equal @ Y0 @ Y1) @ (set_equal @ Y1 @ Y0))))))))),
% 0.22/0.50 inference(cnf_transformation,[],[f38])).
% 0.22/0.50 thf(f38,plain,(
% 0.22/0.50 ($true != (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (set_equal @ Y0 @ Y1) @ (set_equal @ Y1 @ Y0))))))))),
% 0.22/0.50 inference(flattening,[],[f26])).
% 0.22/0.50 thf(f26,plain,(
% 0.22/0.50 ~($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (set_equal @ Y0 @ Y1) @ (set_equal @ Y1 @ Y0))))))))),
% 0.22/0.50 inference(fool_elimination,[],[f25])).
% 0.22/0.50 thf(f25,plain,(
% 0.22/0.50 ~(mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (set_equal @ X0 @ X1) @ (set_equal @ X1 @ X0)))))))),
% 0.22/0.50 inference(rectify,[],[f13])).
% 0.22/0.50 thf(f13,negated_conjecture,(
% 0.22/0.50 ~(mlocal @ (mforall_di @ (^[X5 : $i] : (mforall_di @ (^[X6 : $i] : (mequiv @ (set_equal @ X5 @ X6) @ (set_equal @ X6 @ X5)))))))),
% 0.22/0.50 inference(negated_conjecture,[],[f12])).
% 0.22/0.50 thf(f12,conjecture,(
% 0.22/0.50 (mlocal @ (mforall_di @ (^[X5 : $i] : (mforall_di @ (^[X6 : $i] : (mequiv @ (set_equal @ X5 @ X6) @ (set_equal @ X6 @ X5)))))))),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel43)).
% 0.22/0.50 thf(f87,plain,(
% 0.22/0.50 spl0_1 | spl0_2),
% 0.22/0.50 inference(avatar_split_clause,[],[f59,f84,f80])).
% 0.22/0.50 thf(f59,plain,(
% 0.22/0.50 ((set_equal @ sK1 @ sK2 @ mactual) = $true) | ((set_equal @ sK2 @ sK1 @ mactual) = $true)),
% 0.22/0.50 inference(binary_proxy_clausification,[],[f58])).
% 0.22/0.50 % SZS output end Proof for theBenchmark
% 0.22/0.50 % (17532)------------------------------
% 0.22/0.50 % (17532)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.50 % (17532)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (17532)Memory used [KB]: 5628
% 0.22/0.50 % (17532)Time elapsed: 0.022 s
% 0.22/0.50 % (17532)Instructions burned: 27 (million)
% 0.22/0.50 % (17532)------------------------------
% 0.22/0.50 % (17532)------------------------------
% 0.22/0.50 % (17501)Success in time 0.136 s
%------------------------------------------------------------------------------