TSTP Solution File: GRP001-5 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP001-5 : 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 : n020.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 16:18:52 EDT 2022

% Result   : Unsatisfiable 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  16   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,plain,
    $false,
    inference(resolution,[],[f70,f7]) ).

fof(f7,axiom,
    ~ product(b,a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).

fof(f70,plain,
    product(b,a,c),
    inference(resolution,[],[f59,f56]) ).

fof(f56,plain,
    product(b,c,a),
    inference(resolution,[],[f50,f41]) ).

fof(f41,plain,
    product(a,c,b),
    inference(resolution,[],[f32,f5]) ).

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

fof(f32,plain,
    ! [X4] :
      ( ~ product(X4,a,identity)
      | product(X4,c,b) ),
    inference(resolution,[],[f11,f6]) ).

fof(f6,axiom,
    product(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).

fof(f11,plain,
    ! [X11,X14,X12,X13] :
      ( ~ product(X14,X13,X12)
      | product(X11,X12,X13)
      | ~ product(X11,X14,identity) ),
    inference(resolution,[],[f3,f1]) ).

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

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

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X2)
      | product(X2,X1,X0) ),
    inference(resolution,[],[f34,f2]) ).

fof(f2,axiom,
    ! [X0] : product(X0,identity,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).

fof(f34,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,identity,X3)
      | ~ product(X0,X1,X2)
      | product(X2,X1,X3) ),
    inference(resolution,[],[f4,f5]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X1,X3,X4)
      | ~ product(X0,X1,X2)
      | ~ product(X0,X4,X5)
      | product(X2,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).

fof(f59,plain,
    ! [X0] :
      ( ~ product(X0,c,a)
      | product(X0,a,c) ),
    inference(resolution,[],[f55,f10]) ).

fof(f10,plain,
    ! [X10,X8,X9] :
      ( ~ product(X10,b,X9)
      | product(X8,X9,c)
      | ~ product(X8,X10,a) ),
    inference(resolution,[],[f3,f6]) ).

fof(f55,plain,
    product(c,b,a),
    inference(resolution,[],[f50,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP001-5 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32  % Computer : n020.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:08:45 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.43  % (30954)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)
% 0.18/0.44  % (30970)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 (3000ds/177Mi)
% 0.18/0.44  % (30954)First to succeed.
% 0.18/0.45  % (30954)Refutation found. Thanks to Tanya!
% 0.18/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.45  % (30954)------------------------------
% 0.18/0.45  % (30954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.45  % (30954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.45  % (30954)Termination reason: Refutation
% 0.18/0.45  
% 0.18/0.45  % (30954)Memory used [KB]: 5373
% 0.18/0.45  % (30954)Time elapsed: 0.075 s
% 0.18/0.45  % (30954)Instructions burned: 3 (million)
% 0.18/0.45  % (30954)------------------------------
% 0.18/0.45  % (30954)------------------------------
% 0.18/0.45  % (30942)Success in time 0.118 s
%------------------------------------------------------------------------------