TSTP Solution File: GRP528-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP528-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : 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 16:22:47 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f418,plain,
    $false,
    inference(subsumption_resolution,[],[f4,f396]) ).

fof(f396,plain,
    ! [X8,X9] : multiply(X8,X9) = multiply(X9,X8),
    inference(superposition,[],[f339,f364]) ).

fof(f364,plain,
    ! [X22,X23] : divide(multiply(X22,X23),X22) = X23,
    inference(forward_demodulation,[],[f356,f78]) ).

fof(f78,plain,
    ! [X3] : inverse(inverse(X3)) = X3,
    inference(superposition,[],[f65,f3]) ).

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

fof(f65,plain,
    ! [X2,X1] : divide(divide(X1,X2),inverse(X2)) = X1,
    inference(superposition,[],[f1,f58]) ).

fof(f58,plain,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X0),X1),
    inference(superposition,[],[f23,f33]) ).

fof(f33,plain,
    ! [X2,X1] : inverse(divide(inverse(X1),divide(X2,X1))) = X2,
    inference(forward_demodulation,[],[f27,f3]) ).

fof(f27,plain,
    ! [X2,X0,X1] : inverse(divide(divide(divide(X0,X0),X1),divide(X2,X1))) = X2,
    inference(superposition,[],[f3,f1]) ).

fof(f23,plain,
    ! [X3,X4] : divide(X3,inverse(divide(X4,X3))) = X4,
    inference(superposition,[],[f1,f3]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f356,plain,
    ! [X22,X23] : inverse(inverse(X23)) = divide(multiply(X22,X23),X22),
    inference(superposition,[],[f58,f332]) ).

fof(f332,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[],[f2,f3]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f339,plain,
    ! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
    inference(superposition,[],[f332,f65]) ).

fof(f4,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP528-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.12  % 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 : n023.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:53:05 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.47  % (29645)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.47  % (29637)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)
% 0.18/0.47  % (29629)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.48  % (29629)Instruction limit reached!
% 0.18/0.48  % (29629)------------------------------
% 0.18/0.48  % (29629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (29629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (29629)Termination reason: Unknown
% 0.18/0.48  % (29629)Termination phase: Saturation
% 0.18/0.48  
% 0.18/0.48  % (29629)Memory used [KB]: 5373
% 0.18/0.48  % (29629)Time elapsed: 0.091 s
% 0.18/0.48  % (29629)Instructions burned: 3 (million)
% 0.18/0.48  % (29629)------------------------------
% 0.18/0.48  % (29629)------------------------------
% 0.18/0.48  % (29634)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.49  % (29621)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)
% 0.18/0.49  TRYING [1]
% 0.18/0.49  TRYING [2]
% 0.18/0.49  % (29628)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49  TRYING [3]
% 0.18/0.49  % (29627)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)
% 0.18/0.49  TRYING [1]
% 0.18/0.49  TRYING [2]
% 0.18/0.49  % (29642)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.49  % (29646)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.49  TRYING [4]
% 0.18/0.49  % (29637)First to succeed.
% 0.18/0.49  % (29644)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)
% 0.18/0.49  % (29643)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)
% 0.18/0.50  % (29638)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.50  % (29636)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)
% 0.18/0.50  % (29637)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (29637)------------------------------
% 0.18/0.50  % (29637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (29637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (29637)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (29637)Memory used [KB]: 5628
% 0.18/0.50  % (29637)Time elapsed: 0.106 s
% 0.18/0.50  % (29637)Instructions burned: 17 (million)
% 0.18/0.50  % (29637)------------------------------
% 0.18/0.50  % (29637)------------------------------
% 0.18/0.50  % (29620)Success in time 0.152 s
%------------------------------------------------------------------------------