TSTP Solution File: GRP600-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP600-1 : 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 : n005.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 16:22:58 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   11 (   3 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   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f752,plain,
    $false,
    inference(trivial_inequality_removal,[],[f669]) ).

fof(f669,plain,
    inverse(double_divide(a,b)) != inverse(double_divide(a,b)),
    inference(backward_demodulation,[],[f4,f581]) ).

fof(f581,plain,
    ! [X19,X20] : double_divide(X20,X19) = double_divide(X19,X20),
    inference(superposition,[],[f186,f535]) ).

fof(f535,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
    inference(superposition,[],[f219,f153]) ).

fof(f153,plain,
    ! [X5] : inverse(inverse(X5)) = X5,
    inference(superposition,[],[f75,f44]) ).

fof(f44,plain,
    ! [X10,X11] : double_divide(inverse(X11),inverse(double_divide(X10,inverse(X10)))) = X11,
    inference(superposition,[],[f31,f27]) ).

fof(f27,plain,
    ! [X3,X0] : double_divide(X3,inverse(double_divide(inverse(X0),inverse(X3)))) = X0,
    inference(forward_demodulation,[],[f19,f1]) ).

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

fof(f19,plain,
    ! [X2,X3,X0,X1] : double_divide(X3,inverse(double_divide(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(inverse(inverse(X0)),X2))))),inverse(X3)))) = X0,
    inference(superposition,[],[f5,f5]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1] : double_divide(X2,inverse(double_divide(double_divide(X0,X1),inverse(double_divide(inverse(X3),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))))))) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f31,plain,
    ! [X3,X4] : double_divide(double_divide(X3,inverse(X3)),inverse(X4)) = X4,
    inference(superposition,[],[f1,f27]) ).

fof(f75,plain,
    ! [X40,X42] : double_divide(X40,inverse(double_divide(inverse(X40),inverse(X42)))) = X42,
    inference(forward_demodulation,[],[f72,f44]) ).

fof(f72,plain,
    ! [X40,X41,X42] : double_divide(X40,inverse(double_divide(inverse(X40),inverse(double_divide(inverse(X42),inverse(double_divide(X41,inverse(X41)))))))) = X42,
    inference(superposition,[],[f1,f44]) ).

fof(f219,plain,
    ! [X2,X1] : double_divide(double_divide(inverse(X2),X1),inverse(X2)) = X1,
    inference(superposition,[],[f6,f182]) ).

fof(f182,plain,
    ! [X29,X30] : double_divide(double_divide(inverse(X29),X29),inverse(X30)) = X30,
    inference(superposition,[],[f31,f153]) ).

fof(f6,plain,
    ! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X0),X1),inverse(double_divide(inverse(X2),X1))),inverse(X2)) = X0,
    inference(superposition,[],[f1,f1]) ).

fof(f186,plain,
    ! [X38,X37] : double_divide(double_divide(X38,X37),X37) = X38,
    inference(superposition,[],[f73,f153]) ).

fof(f73,plain,
    ! [X22,X20] : double_divide(double_divide(X20,inverse(X22)),inverse(X22)) = X20,
    inference(forward_demodulation,[],[f66,f44]) ).

fof(f66,plain,
    ! [X21,X22,X20] : double_divide(double_divide(X20,inverse(double_divide(inverse(X22),inverse(double_divide(X21,inverse(X21)))))),inverse(X22)) = X20,
    inference(superposition,[],[f6,f44]) ).

fof(f4,plain,
    inverse(double_divide(a,b)) != inverse(double_divide(b,a)),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

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

fof(f3,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP600-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 22:33:48 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.47  % (21620)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 (3000ds/191324Mi)
% 0.21/0.48  % (21628)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.48  % (21636)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 (3000ds/99Mi)
% 0.21/0.49  TRYING [1]
% 0.21/0.49  TRYING [2]
% 0.21/0.49  % (21628)Instruction limit reached!
% 0.21/0.49  % (21628)------------------------------
% 0.21/0.49  % (21628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (21628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (21628)Termination reason: Unknown
% 0.21/0.49  % (21628)Termination phase: Saturation
% 0.21/0.49  
% 0.21/0.49  % (21628)Memory used [KB]: 5373
% 0.21/0.49  % (21628)Time elapsed: 0.099 s
% 0.21/0.49  % (21628)Instructions burned: 2 (million)
% 0.21/0.49  % (21628)------------------------------
% 0.21/0.49  % (21628)------------------------------
% 0.21/0.49  TRYING [3]
% 0.21/0.49  TRYING [4]
% 0.21/0.51  % (21623)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.51  % (21636)First to succeed.
% 0.21/0.51  % (21630)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.51  % (21638)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.21/0.51  TRYING [1]
% 0.21/0.51  % (21626)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.51  TRYING [1]
% 0.21/0.51  TRYING [2]
% 0.21/0.51  % (21625)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 (3000ds/48Mi)
% 0.21/0.52  TRYING [3]
% 0.21/0.52  % (21636)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (21636)------------------------------
% 0.21/0.52  % (21636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (21636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (21636)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (21636)Memory used [KB]: 6140
% 0.21/0.52  % (21636)Time elapsed: 0.126 s
% 0.21/0.52  % (21636)Instructions burned: 44 (million)
% 0.21/0.52  % (21636)------------------------------
% 0.21/0.52  % (21636)------------------------------
% 0.21/0.52  % (21618)Success in time 0.16 s
%------------------------------------------------------------------------------