TSTP Solution File: LCL134-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL134-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n021.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 : Wed Aug 31 17:47:00 EDT 2022

% Result   : Unsatisfiable 1.40s 0.52s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f318,plain,
    $false,
    inference(trivial_inequality_removal,[],[f317]) ).

fof(f317,plain,
    truth != truth,
    inference(superposition,[],[f7,f276]) ).

fof(f276,plain,
    truth = sF0,
    inference(superposition,[],[f246,f6]) ).

fof(f6,plain,
    implies(x,truth) = sF0,
    introduced(function_definition,[]) ).

fof(f246,plain,
    ! [X0] : truth = implies(X0,truth),
    inference(superposition,[],[f179,f200]) ).

fof(f200,plain,
    ! [X15] : truth = implies(X15,X15),
    inference(forward_demodulation,[],[f189,f1]) ).

fof(f1,axiom,
    ! [X0] : implies(truth,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).

fof(f189,plain,
    ! [X15] : truth = implies(implies(truth,X15),X15),
    inference(superposition,[],[f1,f110]) ).

fof(f110,plain,
    ! [X2,X3] : truth = implies(X2,implies(implies(X2,X3),X3)),
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f55,plain,
    ! [X2,X3] : truth = implies(X2,implies(implies(X2,X3),implies(truth,X3))),
    inference(superposition,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_2) ).

fof(f179,plain,
    ! [X4] : truth = implies(X4,implies(X4,X4)),
    inference(superposition,[],[f110,f8]) ).

fof(f8,plain,
    ! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
    inference(superposition,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).

fof(f7,plain,
    truth != sF0,
    inference(definition_folding,[],[f5,f6]) ).

fof(f5,axiom,
    truth != implies(x,truth),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : LCL134-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.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   : Tue Aug 30 01:34:25 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (12125)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.49  % (12132)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.49  TRYING [1]
% 0.18/0.49  TRYING [2]
% 0.18/0.49  % (12111)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  TRYING [3]
% 0.18/0.49  % (12117)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  TRYING [4]
% 0.18/0.50  % (12134)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.51  % (12122)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.51  % (12108)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.51  % (12135)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.51  % (12133)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.51  TRYING [1]
% 0.18/0.51  % (12137)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.51  TRYING [2]
% 0.18/0.51  TRYING [3]
% 0.18/0.51  % (12113)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.51  % (12112)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (12129)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.51  % (12115)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52  % (12111)First to succeed.
% 0.18/0.52  % (12121)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52  % (12115)Instruction limit reached!
% 0.18/0.52  % (12115)------------------------------
% 0.18/0.52  % (12115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (12115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (12115)Termination reason: Unknown
% 0.18/0.52  % (12115)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (12115)Memory used [KB]: 5500
% 0.18/0.52  % (12115)Time elapsed: 0.127 s
% 0.18/0.52  % (12115)Instructions burned: 7 (million)
% 0.18/0.52  % (12115)------------------------------
% 0.18/0.52  % (12115)------------------------------
% 1.40/0.52  % (12118)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.40/0.52  % (12111)Refutation found. Thanks to Tanya!
% 1.40/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.40/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.52  % (12111)------------------------------
% 1.40/0.52  % (12111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.52  % (12111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.52  % (12111)Termination reason: Refutation
% 1.40/0.52  
% 1.40/0.52  % (12111)Memory used [KB]: 5628
% 1.40/0.52  % (12111)Time elapsed: 0.111 s
% 1.40/0.52  % (12111)Instructions burned: 15 (million)
% 1.40/0.52  % (12111)------------------------------
% 1.40/0.52  % (12111)------------------------------
% 1.40/0.52  % (12107)Success in time 0.183 s
%------------------------------------------------------------------------------