TSTP Solution File: SEV472^1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV472^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n018.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 16:04:01 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV472^1 : TPTP v8.2.0. Released v7.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 19:13:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH1_THM_EQU_NAR problem
% 0.12/0.35 Running higher-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.38 % (6896)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)
% 0.12/0.38 % (6894)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (6895)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)
% 0.12/0.38 % (6897)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (6898)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)
% 0.12/0.38 % (6899)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)
% 0.12/0.38 % (6900)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % Exception at run slice level
% 0.12/0.38 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.12/0.38 % (6897)Instruction limit reached!
% 0.12/0.38 % (6897)------------------------------
% 0.12/0.38 % (6897)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (6897)Termination reason: Unknown
% 0.12/0.38 % (6897)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (6897)Memory used [KB]: 5500
% 0.12/0.38 % (6897)Time elapsed: 0.004 s
% 0.12/0.38 % (6897)Instructions burned: 2 (million)
% 0.12/0.38 % (6897)------------------------------
% 0.12/0.38 % (6897)------------------------------
% 0.12/0.38 % (6899)Refutation not found, incomplete strategy
% 0.12/0.38 % (6899)------------------------------
% 0.12/0.38 % (6899)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (6899)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % (6899)Memory used [KB]: 5500
% 0.12/0.38 % (6899)Time elapsed: 0.004 s
% 0.12/0.38 % (6899)Instructions burned: 2 (million)
% 0.12/0.38 % (6899)------------------------------
% 0.12/0.38 % (6899)------------------------------
% 0.12/0.38 % (6895)Instruction limit reached!
% 0.12/0.38 % (6895)------------------------------
% 0.12/0.38 % (6895)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (6895)Termination reason: Unknown
% 0.12/0.38 % (6895)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (6895)Memory used [KB]: 5500
% 0.12/0.38 % (6895)Time elapsed: 0.006 s
% 0.12/0.38 % (6895)Instructions burned: 4 (million)
% 0.12/0.38 % (6895)------------------------------
% 0.12/0.38 % (6895)------------------------------
% 0.12/0.39 % (6900)Instruction limit reached!
% 0.12/0.39 % (6900)------------------------------
% 0.12/0.39 % (6900)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (6900)Termination reason: Unknown
% 0.12/0.39 % (6900)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (6900)Memory used [KB]: 5500
% 0.12/0.39 % (6900)Time elapsed: 0.016 s
% 0.12/0.39 % (6900)Instructions burned: 18 (million)
% 0.12/0.39 % (6900)------------------------------
% 0.12/0.39 % (6900)------------------------------
% 0.12/0.39 % (6908)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)
% 0.12/0.39 % (6896)Instruction limit reached!
% 0.12/0.39 % (6896)------------------------------
% 0.12/0.39 % (6896)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (6896)Termination reason: Unknown
% 0.12/0.39 % (6896)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (6896)Memory used [KB]: 5628
% 0.12/0.39 % (6896)Time elapsed: 0.020 s
% 0.12/0.39 % (6896)Instructions burned: 27 (million)
% 0.12/0.39 % (6896)------------------------------
% 0.12/0.39 % (6896)------------------------------
% 0.12/0.39 % (6909)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)
% 0.12/0.39 % Exception at run slice level
% 0.12/0.39 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.12/0.39 % (6910)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)
% 0.12/0.39 % (6912)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)
% 0.12/0.40 % (6908)Instruction limit reached!
% 0.12/0.40 % (6908)------------------------------
% 0.12/0.40 % (6908)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (6908)Termination reason: Unknown
% 0.12/0.40 % (6908)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (6908)Memory used [KB]: 5500
% 0.12/0.40 % (6908)Time elapsed: 0.005 s
% 0.12/0.40 % (6908)Instructions burned: 3 (million)
% 0.12/0.40 % (6908)------------------------------
% 0.12/0.40 % (6908)------------------------------
% 0.12/0.40 % (6912)Instruction limit reached!
% 0.12/0.40 % (6912)------------------------------
% 0.12/0.40 % (6912)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (6912)Termination reason: Unknown
% 0.12/0.40 % (6912)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (6912)Memory used [KB]: 5500
% 0.12/0.40 % (6912)Time elapsed: 0.005 s
% 0.12/0.40 % (6912)Instructions burned: 3 (million)
% 0.12/0.40 % (6912)------------------------------
% 0.12/0.40 % (6912)------------------------------
% 0.21/0.41 % (6918)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)
% 0.21/0.41 % (6910)Instruction limit reached!
% 0.21/0.41 % (6910)------------------------------
% 0.21/0.41 % (6910)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (6910)Termination reason: Unknown
% 0.21/0.41 % (6910)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (6910)Memory used [KB]: 5628
% 0.21/0.41 % (6910)Time elapsed: 0.013 s
% 0.21/0.41 % (6910)Instructions burned: 16 (million)
% 0.21/0.41 % (6910)------------------------------
% 0.21/0.41 % (6910)------------------------------
% 0.21/0.41 % Exception at run slice level
% 0.21/0.41 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.41 % (6921)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (6923)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.41 % (6924)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)
% 0.21/0.41 % (6924)Instruction limit reached!
% 0.21/0.41 % (6924)------------------------------
% 0.21/0.41 % (6924)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (6924)Termination reason: Unknown
% 0.21/0.41 % (6924)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (6924)Memory used [KB]: 5500
% 0.21/0.41 % (6924)Time elapsed: 0.004 s
% 0.21/0.41 % (6924)Instructions burned: 3 (million)
% 0.21/0.41 % (6924)------------------------------
% 0.21/0.41 % (6924)------------------------------
% 0.21/0.41 % (6926)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)
% 0.21/0.41 % (6921)Instruction limit reached!
% 0.21/0.41 % (6921)------------------------------
% 0.21/0.41 % (6921)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (6921)Termination reason: Unknown
% 0.21/0.41 % (6921)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (6921)Memory used [KB]: 1023
% 0.21/0.41 % (6921)Time elapsed: 0.008 s
% 0.21/0.41 % (6921)Instructions burned: 7 (million)
% 0.21/0.41 % (6921)------------------------------
% 0.21/0.41 % (6921)------------------------------
% 0.21/0.42 % (6926)Instruction limit reached!
% 0.21/0.42 % (6926)------------------------------
% 0.21/0.42 % (6926)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (6926)Termination reason: Unknown
% 0.21/0.42 % (6926)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (6926)Memory used [KB]: 1023
% 0.21/0.42 % (6926)Time elapsed: 0.004 s
% 0.21/0.42 % (6926)Instructions burned: 3 (million)
% 0.21/0.42 % (6926)------------------------------
% 0.21/0.42 % (6926)------------------------------
% 0.21/0.42 % (6930)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)
% 0.21/0.42 % (6932)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)
% 0.21/0.42 % Exception at run slice level
% 0.21/0.42 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.42 % (6923)Instruction limit reached!
% 0.21/0.42 % (6923)------------------------------
% 0.21/0.42 % (6923)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (6923)Termination reason: Unknown
% 0.21/0.42 % (6923)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (6923)Memory used [KB]: 5756
% 0.21/0.42 % (6923)Time elapsed: 0.015 s
% 0.21/0.42 % (6923)Instructions burned: 16 (million)
% 0.21/0.42 % (6923)------------------------------
% 0.21/0.42 % (6923)------------------------------
% 0.21/0.43 % (6930)Instruction limit reached!
% 0.21/0.43 % (6930)------------------------------
% 0.21/0.43 % (6930)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (6930)Termination reason: Unknown
% 0.21/0.43 % (6930)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (6930)Memory used [KB]: 5500
% 0.21/0.43 % (6930)Time elapsed: 0.007 s
% 0.21/0.43 % (6930)Instructions burned: 7 (million)
% 0.21/0.43 % (6930)------------------------------
% 0.21/0.43 % (6930)------------------------------
% 0.21/0.43 % (6933)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43 % (6935)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)
% 0.21/0.43 % (6936)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.43 % (6933)Instruction limit reached!
% 0.21/0.43 % (6933)------------------------------
% 0.21/0.43 % (6933)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (6933)Termination reason: Unknown
% 0.21/0.43 % (6933)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (6933)Memory used [KB]: 5500
% 0.21/0.43 % (6933)Time elapsed: 0.006 s
% 0.21/0.43 % (6933)Instructions burned: 5 (million)
% 0.21/0.43 % (6933)------------------------------
% 0.21/0.43 % (6933)------------------------------
% 0.21/0.44 % (6935)First to succeed.
% 0.21/0.44 % (6940)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (6941)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)
% 0.21/0.44 % (6935)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% 0.21/0.44 thf(type_def_6, type, sK0: $tType).
% 0.21/0.44 thf(func_def_0, type, 'const/trivia/I': !>[X0: $tType]:(X0 > X0)).
% 0.21/0.44 thf(func_def_1, type, 'const/sets/SUBSET': !>[X0: $tType]:((X0 > $o) > (X0 > $o) > $o)).
% 0.21/0.44 thf(func_def_2, type, 'const/sets/SETSPEC': !>[X0: $tType]:(X0 > $o > X0 > $o)).
% 0.21/0.44 thf(func_def_3, type, 'const/sets/IN': !>[X0: $tType]:(X0 > (X0 > $o) > $o)).
% 0.21/0.44 thf(func_def_4, type, 'const/sets/GSPEC': !>[X0: $tType]:((X0 > $o) > X0 > $o)).
% 0.21/0.44 thf(func_def_5, type, 'const/sets/FINITE': !>[X0: $tType]:((X0 > $o) > $o)).
% 0.21/0.44 thf(func_def_14, type, sK1: sK0 > $o).
% 0.21/0.44 thf(func_def_15, type, sK2: sK0 > $o).
% 0.21/0.44 thf(func_def_17, type, ph4: !>[X0: $tType]:(X0)).
% 0.21/0.44 thf(f32,plain,(
% 0.21/0.44 $false),
% 0.21/0.44 inference(subsumption_resolution,[],[f31,f20])).
% 0.21/0.44 thf(f20,plain,(
% 0.21/0.44 (('const/sets/FINITE' @ sK0 @ sK1) = $true)),
% 0.21/0.44 inference(cnf_transformation,[],[f17])).
% 0.21/0.44 thf(f17,plain,(
% 0.21/0.44 (('const/sets/FINITE' @ sK0 @ sK1) = $true) & ($true != ('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ (('const/sets/IN' @ sK0 @ Y1 @ sK1) & (sK2 @ Y1)) @ Y1)))))))),
% 0.21/0.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f15,f16])).
% 0.21/0.44 thf(f16,plain,(
% 0.21/0.44 ? [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) & (('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ (('const/sets/IN' @ X0 @ Y1 @ X1) & (X2 @ Y1)) @ Y1)))))) != $true)) => ((('const/sets/FINITE' @ sK0 @ sK1) = $true) & ($true != ('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ (('const/sets/IN' @ sK0 @ Y1 @ sK1) & (sK2 @ Y1)) @ Y1))))))))),
% 0.21/0.44 introduced(choice_axiom,[])).
% 0.21/0.44 thf(f15,plain,(
% 0.21/0.44 ? [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) & (('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ (('const/sets/IN' @ X0 @ Y1 @ X1) & (X2 @ Y1)) @ Y1)))))) != $true))),
% 0.21/0.44 inference(ennf_transformation,[],[f10])).
% 0.21/0.44 thf(f10,plain,(
% 0.21/0.44 ~! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) => (('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ (('const/sets/IN' @ X0 @ Y1 @ X1) & (X2 @ Y1)) @ Y1)))))) = $true))),
% 0.21/0.44 inference(fool_elimination,[],[f9])).
% 0.21/0.44 thf(f9,plain,(
% 0.21/0.44 ~! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X3 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X3 @ (X2 @ X4) & ('const/sets/IN' @ X0 @ X4 @ X1) @ X4))))))),
% 0.21/0.44 inference(rectify,[],[f5])).
% 0.21/0.44 thf(f5,negated_conjecture,(
% 0.21/0.44 ~! [X0 : $tType,X1 : X0 > $o,X3 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X2 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X2 @ (X3 @ X4) & ('const/sets/IN' @ X0 @ X4 @ X1) @ X4))))))),
% 0.21/0.44 inference(negated_conjecture,[],[f4])).
% 0.21/0.44 thf(f4,conjecture,(
% 0.21/0.44 ! [X0 : $tType,X1 : X0 > $o,X3 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X2 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X2 @ (X3 @ X4) & ('const/sets/IN' @ X0 @ X4 @ X1) @ X4))))))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/FINITE_RESTRICT_')).
% 0.21/0.44 thf(f31,plain,(
% 0.21/0.44 (('const/sets/FINITE' @ sK0 @ sK1) != $true)),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f30])).
% 0.21/0.44 thf(f30,plain,(
% 0.21/0.44 (('const/sets/FINITE' @ sK0 @ sK1) != $true) | ($true != $true)),
% 0.21/0.44 inference(superposition,[],[f19,f28])).
% 0.21/0.44 thf(f28,plain,(
% 0.21/0.44 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ (('const/sets/IN' @ X0 @ Y1 @ X1) & (X2 @ Y1)) @ Y1)))))) = $true) | (('const/sets/FINITE' @ X0 @ X1) != $true)) )),
% 0.21/0.44 inference(trivial_inequality_removal,[],[f27])).
% 0.21/0.44 thf(f27,plain,(
% 0.21/0.44 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ (('const/sets/IN' @ X0 @ Y1 @ X1) & (X2 @ Y1)) @ Y1)))))) = $true) | (('const/sets/FINITE' @ X0 @ X1) != $true) | ($true != $true)) )),
% 0.21/0.44 inference(superposition,[],[f22,f18])).
% 0.21/0.44 thf(f18,plain,(
% 0.21/0.44 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ (('const/sets/IN' @ X0 @ Y1 @ X1) & (X2 @ Y1)) @ Y1))))) @ X1) = $true)) )),
% 0.21/0.44 inference(cnf_transformation,[],[f8])).
% 0.21/0.44 thf(f8,plain,(
% 0.21/0.44 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ (('const/sets/IN' @ X0 @ Y1 @ X1) & (X2 @ Y1)) @ Y1))))) @ X1) = $true)),
% 0.21/0.44 inference(fool_elimination,[],[f7])).
% 0.21/0.44 thf(f7,plain,(
% 0.21/0.44 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X3 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X3 @ (X2 @ X4) & ('const/sets/IN' @ X0 @ X4 @ X1) @ X4)))) @ X1)),
% 0.21/0.44 inference(rectify,[],[f3])).
% 0.21/0.44 thf(f3,axiom,(
% 0.21/0.44 ! [X0 : $tType,X1 : X0 > $o,X3 : X0 > $o] : ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X2 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X2 @ (X3 @ X4) & ('const/sets/IN' @ X0 @ X4 @ X1) @ X4)))) @ X1)),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/SUBSET_RESTRICT_')).
% 0.21/0.44 thf(f22,plain,(
% 0.21/0.44 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((('const/sets/SUBSET' @ X0 @ X1 @ X2) != $true) | (('const/sets/FINITE' @ X0 @ X2) != $true) | (('const/sets/FINITE' @ X0 @ X1) = $true)) )),
% 0.21/0.44 inference(cnf_transformation,[],[f14])).
% 0.21/0.44 thf(f14,plain,(
% 0.21/0.44 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) | (('const/sets/FINITE' @ X0 @ X2) != $true) | (('const/sets/SUBSET' @ X0 @ X1 @ X2) != $true))),
% 0.21/0.44 inference(flattening,[],[f13])).
% 0.21/0.44 thf(f13,plain,(
% 0.21/0.44 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) | ((('const/sets/FINITE' @ X0 @ X2) != $true) | (('const/sets/SUBSET' @ X0 @ X1 @ X2) != $true)))),
% 0.21/0.44 inference(ennf_transformation,[],[f12])).
% 0.21/0.44 thf(f12,plain,(
% 0.21/0.44 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (((('const/sets/FINITE' @ X0 @ X2) = $true) & (('const/sets/SUBSET' @ X0 @ X1 @ X2) = $true)) => (('const/sets/FINITE' @ X0 @ X1) = $true))),
% 0.21/0.44 inference(fool_elimination,[],[f11])).
% 0.21/0.44 thf(f11,plain,(
% 0.21/0.44 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X2) & ('const/sets/SUBSET' @ X0 @ X1 @ X2)) => ('const/sets/FINITE' @ X0 @ X1))),
% 0.21/0.44 inference(rectify,[],[f2])).
% 0.21/0.44 thf(f2,axiom,(
% 0.21/0.44 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X2) & ('const/sets/SUBSET' @ X0 @ X1 @ X2)) => ('const/sets/FINITE' @ X0 @ X1))),
% 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/FINITE_SUBSET_')).
% 0.21/0.44 thf(f19,plain,(
% 0.21/0.44 ($true != ('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ (('const/sets/IN' @ sK0 @ Y1 @ sK1) & (sK2 @ Y1)) @ Y1)))))))),
% 0.21/0.44 inference(cnf_transformation,[],[f17])).
% 0.21/0.44 % SZS output end Proof for theBenchmark
% 0.21/0.44 % (6935)------------------------------
% 0.21/0.44 % (6935)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (6935)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (6935)Memory used [KB]: 5500
% 0.21/0.44 % (6935)Time elapsed: 0.010 s
% 0.21/0.44 % (6935)Instructions burned: 8 (million)
% 0.21/0.44 % (6935)------------------------------
% 0.21/0.44 % (6935)------------------------------
% 0.21/0.44 % (6891)Success in time 0.072 s
%------------------------------------------------------------------------------