TSTP Solution File: GRP192-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP192-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : 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 : Wed Aug 31 16:20:51 EDT 2022

% Result   : Unsatisfiable 1.32s 0.56s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (  24 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f932,plain,
    $false,
    inference(subsumption_resolution,[],[f878,f870]) ).

fof(f870,plain,
    ! [X0] : inverse(identity) = X0,
    inference(backward_demodulation,[],[f494,f867]) ).

fof(f867,plain,
    ! [X1] : identity = inverse(X1),
    inference(forward_demodulation,[],[f848,f31]) ).

fof(f31,plain,
    ! [X1] : identity = greatest_lower_bound(X1,identity),
    inference(superposition,[],[f29,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_glb) ).

fof(f29,plain,
    ! [X2] : identity = greatest_lower_bound(identity,X2),
    inference(superposition,[],[f10,f16]) ).

fof(f16,axiom,
    ! [X0] : least_upper_bound(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p40a_1) ).

fof(f10,axiom,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lub_absorbtion) ).

fof(f848,plain,
    ! [X1] : inverse(X1) = greatest_lower_bound(inverse(X1),identity),
    inference(superposition,[],[f836,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f836,plain,
    ! [X8,X9] : greatest_lower_bound(X8,multiply(X8,X9)) = X8,
    inference(forward_demodulation,[],[f835,f485]) ).

fof(f485,plain,
    ! [X4] : multiply(X4,identity) = X4,
    inference(superposition,[],[f354,f352]) ).

fof(f352,plain,
    ! [X1] : multiply(inverse(inverse(X1)),identity) = X1,
    inference(superposition,[],[f293,f2]) ).

fof(f293,plain,
    ! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
    inference(forward_demodulation,[],[f291,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f291,plain,
    ! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
    inference(superposition,[],[f3,f2]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f354,plain,
    ! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
    inference(superposition,[],[f293,f293]) ).

fof(f835,plain,
    ! [X8,X9] : multiply(X8,identity) = greatest_lower_bound(X8,multiply(X8,X9)),
    inference(forward_demodulation,[],[f802,f29]) ).

fof(f802,plain,
    ! [X8,X9] : multiply(X8,greatest_lower_bound(identity,X9)) = greatest_lower_bound(X8,multiply(X8,X9)),
    inference(superposition,[],[f13,f485]) ).

fof(f13,axiom,
    ! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_glb1) ).

fof(f494,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f485,f352]) ).

fof(f878,plain,
    multiply(a,b) != inverse(identity),
    inference(backward_demodulation,[],[f17,f870]) ).

fof(f17,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p40a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP192-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 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   : Mon Aug 29 22:40:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (16722)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.21/0.52  % (16722)Instruction limit reached!
% 1.21/0.52  % (16722)------------------------------
% 1.21/0.52  % (16722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.52  % (16722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.52  % (16722)Termination reason: Unknown
% 1.21/0.52  % (16722)Termination phase: Saturation
% 1.21/0.52  
% 1.21/0.52  % (16722)Memory used [KB]: 5373
% 1.21/0.52  % (16722)Time elapsed: 0.093 s
% 1.21/0.52  % (16722)Instructions burned: 2 (million)
% 1.21/0.52  % (16722)------------------------------
% 1.21/0.52  % (16722)------------------------------
% 1.21/0.52  % (16720)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.21/0.52  % (16721)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.21/0.52  TRYING [1]
% 1.21/0.52  TRYING [2]
% 1.21/0.52  % (16730)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.53  % (16738)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.32/0.53  % (16728)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)
% 1.32/0.53  % (16729)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.32/0.54  % (16736)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.32/0.54  % (16737)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.32/0.54  % (16741)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)
% 1.32/0.54  % (16726)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.32/0.54  TRYING [3]
% 1.32/0.54  % (16721)Instruction limit reached!
% 1.32/0.54  % (16721)------------------------------
% 1.32/0.54  % (16721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.54  % (16721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54  % (16721)Termination reason: Unknown
% 1.32/0.54  % (16721)Termination phase: Saturation
% 1.32/0.54  
% 1.32/0.54  % (16721)Memory used [KB]: 5500
% 1.32/0.54  % (16721)Time elapsed: 0.111 s
% 1.32/0.54  % (16721)Instructions burned: 8 (million)
% 1.32/0.54  % (16721)------------------------------
% 1.32/0.54  % (16721)------------------------------
% 1.32/0.54  % (16718)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.54  % (16740)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)
% 1.32/0.55  % (16714)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)
% 1.32/0.55  % (16725)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.55  % (16739)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.32/0.55  % (16716)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.32/0.55  % (16717)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)
% 1.32/0.55  % (16724)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.55  % (16742)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.32/0.55  % (16730)First to succeed.
% 1.32/0.55  % (16731)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.32/0.55  TRYING [1]
% 1.32/0.55  % (16743)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)
% 1.32/0.56  TRYING [2]
% 1.32/0.56  TRYING [3]
% 1.32/0.56  % (16730)Refutation found. Thanks to Tanya!
% 1.32/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.32/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.56  % (16730)------------------------------
% 1.32/0.56  % (16730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.56  % (16730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.56  % (16730)Termination reason: Refutation
% 1.32/0.56  
% 1.32/0.56  % (16730)Memory used [KB]: 6012
% 1.32/0.56  % (16730)Time elapsed: 0.139 s
% 1.32/0.56  % (16730)Instructions burned: 42 (million)
% 1.32/0.56  % (16730)------------------------------
% 1.32/0.56  % (16730)------------------------------
% 1.32/0.56  % (16713)Success in time 0.203 s
%------------------------------------------------------------------------------