TSTP Solution File: GRP030-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP030-1 : 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 : n009.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 16:19:11 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   28 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f95,plain,
    $false,
    inference(resolution,[],[f78,f7]) ).

fof(f7,axiom,
    ~ product(a,identity,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_is_a_right_identity) ).

fof(f78,plain,
    ! [X0] : product(X0,identity,X0),
    inference(resolution,[],[f56,f6]) ).

fof(f6,axiom,
    ! [X6] : product(inverse(X6),X6,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ~ product(inverse(X0),X2,X1)
      | product(X0,X1,X2) ),
    inference(resolution,[],[f53,f20]) ).

fof(f20,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X0,identity)
      | product(X3,X2,X1)
      | ~ product(X0,X1,X2) ),
    inference(resolution,[],[f3,f5]) ).

fof(f5,axiom,
    ! [X6] : product(identity,X6,X6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

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

fof(f53,plain,
    ! [X0] : product(X0,inverse(X0),identity),
    inference(superposition,[],[f1,f44]) ).

fof(f44,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(resolution,[],[f38,f1]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ product(X1,inverse(X1),X0)
      | identity = X0 ),
    inference(resolution,[],[f31,f24]) ).

fof(f24,plain,
    ! [X2,X3,X4] :
      ( product(inverse(X2),X3,X4)
      | ~ product(X2,X4,X3) ),
    inference(resolution,[],[f20,f6]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,X0)
      | identity = X1 ),
    inference(resolution,[],[f24,f9]) ).

fof(f9,plain,
    ! [X2,X3] :
      ( ~ product(inverse(X2),X2,X3)
      | identity = X3 ),
    inference(resolution,[],[f2,f6]) ).

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(f1,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % 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 : n009.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 22:06:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (30551)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.50  % (30559)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.50  % (30549)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.50  % (30549)First to succeed.
% 0.20/0.51  % (30540)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 (3000ds/37Mi)
% 0.20/0.51  % (30549)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (30549)------------------------------
% 0.20/0.51  % (30549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (30549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (30549)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (30549)Memory used [KB]: 5373
% 0.20/0.51  % (30549)Time elapsed: 0.113 s
% 0.20/0.51  % (30549)Instructions burned: 2 (million)
% 0.20/0.51  % (30549)------------------------------
% 0.20/0.51  % (30549)------------------------------
% 0.20/0.51  % (30537)Success in time 0.159 s
%------------------------------------------------------------------------------