TSTP Solution File: GRP028-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP028-2 : TPTP v8.1.0. Released v1.1.0.
% 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 : n008.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 16:19:10 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   22 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  11   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   0 con; 1-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f50,plain,
    $false,
    inference(resolution,[],[f44,f7]) ).

fof(f7,axiom,
    ! [X0] : ~ product(not_identity(X0),X0,not_identity(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).

fof(f44,plain,
    ! [X14,X15] : product(X15,right_solution(X14,X14),X15),
    inference(superposition,[],[f5,f35]) ).

fof(f35,plain,
    ! [X0,X1] : left_solution(right_solution(X0,X0),X1) = X1,
    inference(resolution,[],[f28,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : product(X0,right_solution(X0,X1),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_soln) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X0)
      | left_solution(X1,X2) = X2 ),
    inference(resolution,[],[f26,f8]) ).

fof(f8,plain,
    ! [X2,X0,X1] :
      ( ~ product(left_solution(X0,X1),X0,X2)
      | X1 = X2 ),
    inference(resolution,[],[f2,f5]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X3)
      | ~ product(X0,X1,X2)
      | X2 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).

fof(f26,plain,
    ! [X2,X3,X0,X1] :
      ( product(left_solution(X0,left_solution(X1,X2)),X3,X2)
      | ~ product(X0,X1,X3) ),
    inference(resolution,[],[f14,f5]) ).

fof(f14,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ product(X0,X3,left_solution(X4,X2))
      | product(X0,X1,X2)
      | ~ product(X3,X4,X1) ),
    inference(resolution,[],[f3,f5]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X4,X2,X3)
      | product(X0,X5,X3)
      | ~ product(X0,X1,X4)
      | ~ product(X1,X2,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).

fof(f5,axiom,
    ! [X0,X1] : product(left_solution(X0,X1),X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_soln) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP028-2 : TPTP v8.1.0. Released v1.1.0.
% 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
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 22:12:40 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (1466)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.48  % (1466)Instruction limit reached!
% 0.20/0.48  % (1466)------------------------------
% 0.20/0.48  % (1466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (1466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (1466)Termination reason: Unknown
% 0.20/0.48  % (1466)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (1466)Memory used [KB]: 5373
% 0.20/0.48  % (1466)Time elapsed: 0.076 s
% 0.20/0.48  % (1466)Instructions burned: 2 (million)
% 0.20/0.48  % (1466)------------------------------
% 0.20/0.48  % (1466)------------------------------
% 0.20/0.48  % (1482)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.49  % (1482)First to succeed.
% 0.20/0.49  % (1482)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (1482)------------------------------
% 0.20/0.49  % (1482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (1482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (1482)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (1482)Memory used [KB]: 5373
% 0.20/0.49  % (1482)Time elapsed: 0.080 s
% 0.20/0.49  % (1482)Instructions burned: 4 (million)
% 0.20/0.49  % (1482)------------------------------
% 0.20/0.49  % (1482)------------------------------
% 0.20/0.49  % (1456)Success in time 0.143 s
%------------------------------------------------------------------------------