TSTP Solution File: SEU953^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEU953^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 15:44:07 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU953^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n025.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 : Fri Jun 21 13:36:09 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/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
% 0.13/0.38 % (24677)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 % (24677)Refutation not found, incomplete strategy
% 0.13/0.38 % (24677)------------------------------
% 0.13/0.38 % (24677)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (24677)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (24677)Memory used [KB]: 5373
% 0.13/0.38 % (24677)Time elapsed: 0.002 s
% 0.13/0.38 % (24677)Instructions burned: 1 (million)
% 0.13/0.38 % (24677)------------------------------
% 0.13/0.38 % (24677)------------------------------
% 0.13/0.38 % (24672)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 % (24675)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (24674)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 % (24676)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 % (24678)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 % (24673)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 % (24672)Refutation not found, incomplete strategy
% 0.13/0.38 % (24672)------------------------------
% 0.13/0.38 % (24672)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (24672)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (24672)Memory used [KB]: 5373
% 0.13/0.38 % (24672)Time elapsed: 0.004 s
% 0.13/0.38 % (24672)Instructions burned: 1 (million)
% 0.13/0.38 % (24672)------------------------------
% 0.13/0.38 % (24672)------------------------------
% 0.13/0.38 % (24676)Instruction limit reached!
% 0.13/0.38 % (24676)------------------------------
% 0.13/0.38 % (24676)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (24676)Termination reason: Unknown
% 0.13/0.38 % (24676)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (24676)Memory used [KB]: 5500
% 0.13/0.38 % (24676)Time elapsed: 0.004 s
% 0.13/0.38 % (24676)Instructions burned: 2 (million)
% 0.13/0.38 % (24676)------------------------------
% 0.13/0.38 % (24676)------------------------------
% 0.13/0.38 % (24674)Refutation not found, incomplete strategy
% 0.13/0.38 % (24674)------------------------------
% 0.13/0.38 % (24674)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (24674)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (24674)Memory used [KB]: 5500
% 0.13/0.38 % (24674)Time elapsed: 0.004 s
% 0.13/0.38 % (24674)Instructions burned: 1 (million)
% 0.13/0.38 % (24674)------------------------------
% 0.13/0.38 % (24674)------------------------------
% 0.13/0.38 % (24678)Refutation not found, incomplete strategy
% 0.13/0.38 % (24678)------------------------------
% 0.13/0.38 % (24678)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (24678)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (24678)Memory used [KB]: 5500
% 0.13/0.38 % (24678)Time elapsed: 0.004 s
% 0.13/0.38 % (24675)Refutation not found, incomplete strategy
% 0.13/0.38 % (24675)------------------------------
% 0.13/0.38 % (24675)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (24678)Instructions burned: 1 (million)
% 0.13/0.38 % (24675)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38 % (24678)------------------------------
% 0.13/0.38 % (24678)------------------------------
% 0.13/0.38
% 0.13/0.38 % (24675)Memory used [KB]: 5500
% 0.13/0.38 % (24675)Time elapsed: 0.004 s
% 0.13/0.38 % (24675)Instructions burned: 1 (million)
% 0.13/0.38 % (24675)------------------------------
% 0.13/0.38 % (24675)------------------------------
% 0.13/0.38 % (24673)Refutation not found, incomplete strategy
% 0.13/0.38 % (24673)------------------------------
% 0.13/0.38 % (24673)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (24673)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (24673)Memory used [KB]: 5500
% 0.13/0.38 % (24673)Time elapsed: 0.003 s
% 0.13/0.38 % (24673)Instructions burned: 1 (million)
% 0.13/0.38 % (24673)------------------------------
% 0.13/0.38 % (24673)------------------------------
% 0.13/0.39 % (24679)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)
% 0.13/0.39 % (24679)Refutation not found, incomplete strategy
% 0.13/0.39 % (24679)------------------------------
% 0.13/0.39 % (24679)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (24679)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % (24679)Memory used [KB]: 5500
% 0.13/0.39 % (24679)Time elapsed: 0.003 s
% 0.13/0.39 % (24679)Instructions burned: 1 (million)
% 0.13/0.39 % (24679)------------------------------
% 0.13/0.39 % (24679)------------------------------
% 0.13/0.40 % (24681)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 % (24684)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)
% 0.13/0.40 % (24685)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.40 % (24683)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 % (24682)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 % (24686)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.40 % (24681)Refutation not found, incomplete strategy
% 0.13/0.40 % (24681)------------------------------
% 0.13/0.40 % (24681)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.40 % (24681)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 % (24681)Memory used [KB]: 5500
% 0.13/0.40 % (24681)Time elapsed: 0.004 s
% 0.13/0.40 % (24681)Instructions burned: 2 (million)
% 0.13/0.40 % (24681)------------------------------
% 0.13/0.40 % (24681)------------------------------
% 0.13/0.40 % (24685)Refutation not found, incomplete strategy
% 0.13/0.40 % (24685)------------------------------
% 0.13/0.40 % (24685)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.40 % (24685)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 % (24685)Memory used [KB]: 1023
% 0.13/0.40 % (24685)Time elapsed: 0.003 s
% 0.13/0.40 % (24685)Instructions burned: 1 (million)
% 0.13/0.40 % (24685)------------------------------
% 0.13/0.40 % (24685)------------------------------
% 0.13/0.40 % (24682)Refutation not found, incomplete strategy
% 0.13/0.40 % (24682)------------------------------
% 0.13/0.40 % (24682)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.40 % (24682)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 % (24682)Memory used [KB]: 5500
% 0.13/0.40 % (24682)Time elapsed: 0.003 s
% 0.13/0.40 % (24682)Instructions burned: 1 (million)
% 0.13/0.40 % (24682)------------------------------
% 0.13/0.40 % (24682)------------------------------
% 0.13/0.40 % (24683)Refutation not found, incomplete strategy
% 0.13/0.40 % (24683)------------------------------
% 0.13/0.40 % (24683)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.40 % (24683)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 % (24683)Memory used [KB]: 5500
% 0.13/0.40 % (24683)Time elapsed: 0.003 s
% 0.13/0.40 % (24683)Instructions burned: 1 (million)
% 0.13/0.40 % (24683)------------------------------
% 0.13/0.40 % (24683)------------------------------
% 0.21/0.41 % (24692)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 % (24686)Instruction limit reached!
% 0.21/0.41 % (24686)------------------------------
% 0.21/0.41 % (24686)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (24686)Termination reason: Unknown
% 0.21/0.41 % (24686)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (24686)Memory used [KB]: 5500
% 0.21/0.41 % (24686)Time elapsed: 0.014 s
% 0.21/0.41 % (24686)Instructions burned: 16 (million)
% 0.21/0.41 % (24686)------------------------------
% 0.21/0.41 % (24686)------------------------------
% 0.21/0.41 % (24692)First to succeed.
% 0.21/0.41 % (24692)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% 0.21/0.41 thf(func_def_0, type, g: $i > $i).
% 0.21/0.41 thf(func_def_6, type, sF0: $i > $i).
% 0.21/0.41 thf(func_def_7, type, sF1: ($i > $i) > $i > $i).
% 0.21/0.41 thf(func_def_8, type, sF2: $i > $i).
% 0.21/0.41 thf(func_def_10, type, ph4: !>[X0: $tType]:(X0)).
% 0.21/0.41 thf(func_def_11, type, inv_sF0_5: $i > $i).
% 0.21/0.41 thf(func_def_12, type, sK6: ($i > $i) > $i).
% 0.21/0.41 thf(f28,plain,(
% 0.21/0.41 $false),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f26])).
% 0.21/0.41 thf(f26,plain,(
% 0.21/0.41 ((sK6 @ inv_sF0_5) != (sK6 @ inv_sF0_5))),
% 0.21/0.41 inference(superposition,[],[f23,f16])).
% 0.21/0.41 thf(f16,plain,(
% 0.21/0.41 ( ! [X0 : $i] : (((inv_sF0_5 @ (sF0 @ X0)) = X0)) )),
% 0.21/0.41 inference(injectivity,[],[f10])).
% 0.21/0.41 thf(f10,plain,(
% 0.21/0.41 ( ! [X0 : $i,X1 : $i] : (((sF0 @ X0) != (sF0 @ X1)) | (X0 = X1)) )),
% 0.21/0.41 inference(definition_folding,[],[f8,f9,f9])).
% 0.21/0.41 thf(f9,plain,(
% 0.21/0.41 ( ! [X0 : $i] : (((g @ X0) = (sF0 @ X0))) )),
% 0.21/0.41 introduced(function_definition,[])).
% 0.21/0.41 thf(f8,plain,(
% 0.21/0.41 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | ((g @ X0) != (g @ X1))) )),
% 0.21/0.41 inference(cnf_transformation,[],[f6])).
% 0.21/0.41 thf(f6,plain,(
% 0.21/0.41 ! [X0,X1] : ((X0 = X1) | ((g @ X0) != (g @ X1))) & ! [X2 : $i > $i] : ((^[Y0 : $i]: (X2 @ (g @ Y0))) != (^[Y0 : $i]: (Y0)))),
% 0.21/0.41 inference(ennf_transformation,[],[f5])).
% 0.21/0.41 thf(f5,plain,(
% 0.21/0.41 ~(! [X0,X1] : (((g @ X0) = (g @ X1)) => (X0 = X1)) => ? [X2 : $i > $i] : ((^[Y0 : $i]: (X2 @ (g @ Y0))) = (^[Y0 : $i]: (Y0))))),
% 0.21/0.41 inference(fool_elimination,[],[f4])).
% 0.21/0.41 thf(f4,plain,(
% 0.21/0.41 ~(! [X0,X1] : (((g @ X0) = (g @ X1)) => (X0 = X1)) => ? [X2 : $i > $i] : ((^[X3 : $i] : (X2 @ (g @ X3))) = (^[X4 : $i] : (X4))))),
% 0.21/0.41 inference(rectify,[],[f2])).
% 0.21/0.41 thf(f2,negated_conjecture,(
% 0.21/0.41 ~(! [X1,X0] : (((g @ X0) = (g @ X1)) => (X0 = X1)) => ? [X2 : $i > $i] : ((^[X0 : $i] : (X2 @ (g @ X0))) = (^[X0 : $i] : (X0))))),
% 0.21/0.41 inference(negated_conjecture,[],[f1])).
% 0.21/0.41 thf(f1,conjecture,(
% 0.21/0.41 ! [X1,X0] : (((g @ X0) = (g @ X1)) => (X0 = X1)) => ? [X2 : $i > $i] : ((^[X0 : $i] : (X2 @ (g @ X0))) = (^[X0 : $i] : (X0)))),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM591_pme)).
% 0.21/0.41 thf(f23,plain,(
% 0.21/0.41 ( ! [X0 : $i > $i] : (((sK6 @ X0) != (X0 @ (sF0 @ (sK6 @ X0))))) )),
% 0.21/0.41 inference(superposition,[],[f19,f22])).
% 0.21/0.41 thf(f22,plain,(
% 0.21/0.41 ( ! [X2 : $i > $i,X3 : $i] : (((X2 @ (sF0 @ X3)) = (sF1 @ X2 @ X3))) )),
% 0.21/0.41 inference(forward_demodulation,[],[f21,f9])).
% 0.21/0.41 thf(f21,plain,(
% 0.21/0.41 ( ! [X2 : $i > $i,X3 : $i] : (((X2 @ (g @ X3)) = (sF1 @ X2 @ X3))) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f20])).
% 0.21/0.41 thf(f20,plain,(
% 0.21/0.41 ( ! [X2 : $i > $i,X3 : $i] : ((((^[Y0 : $i]: (X2 @ (g @ Y0))) @ X3) = (sF1 @ X2 @ X3))) )),
% 0.21/0.41 inference(argument_congruence,[],[f11])).
% 0.21/0.41 thf(f11,plain,(
% 0.21/0.41 ( ! [X2 : $i > $i] : (((^[Y0 : $i]: (X2 @ (g @ Y0))) = (sF1 @ X2))) )),
% 0.21/0.41 introduced(function_definition,[])).
% 0.21/0.41 thf(f19,plain,(
% 0.21/0.41 ( ! [X2 : $i > $i] : (((sK6 @ X2) != (sF1 @ X2 @ (sK6 @ X2)))) )),
% 0.21/0.41 inference(forward_demodulation,[],[f18,f15])).
% 0.21/0.41 thf(f15,plain,(
% 0.21/0.41 ( ! [X1 : $i] : (((sF2 @ X1) = X1)) )),
% 0.21/0.41 inference(beta_eta_normalization,[],[f14])).
% 0.21/0.41 thf(f14,plain,(
% 0.21/0.41 ( ! [X1 : $i] : ((((^[Y0 : $i]: (Y0)) @ X1) = (sF2 @ X1))) )),
% 0.21/0.41 inference(argument_congruence,[],[f12])).
% 0.21/0.41 thf(f12,plain,(
% 0.21/0.41 ((^[Y0 : $i]: (Y0)) = sF2)),
% 0.21/0.41 introduced(function_definition,[])).
% 0.21/0.41 thf(f18,plain,(
% 0.21/0.41 ( ! [X2 : $i > $i] : (((sF2 @ (sK6 @ X2)) != (sF1 @ X2 @ (sK6 @ X2)))) )),
% 0.21/0.41 inference(negative_extensionality,[],[f13])).
% 0.21/0.41 thf(f13,plain,(
% 0.21/0.41 ( ! [X2 : $i > $i] : (((sF1 @ X2) != sF2)) )),
% 0.21/0.41 inference(definition_folding,[],[f7,f12,f11])).
% 0.21/0.41 thf(f7,plain,(
% 0.21/0.41 ( ! [X2 : $i > $i] : (((^[Y0 : $i]: (X2 @ (g @ Y0))) != (^[Y0 : $i]: (Y0)))) )),
% 0.21/0.41 inference(cnf_transformation,[],[f6])).
% 0.21/0.41 % SZS output end Proof for theBenchmark
% 0.21/0.41 % (24692)------------------------------
% 0.21/0.41 % (24692)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (24692)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (24692)Memory used [KB]: 5500
% 0.21/0.41 % (24692)Time elapsed: 0.005 s
% 0.21/0.41 % (24692)Instructions burned: 2 (million)
% 0.21/0.41 % (24692)------------------------------
% 0.21/0.41 % (24692)------------------------------
% 0.21/0.41 % (24671)Success in time 0.047 s
%------------------------------------------------------------------------------