TSTP Solution File: GRP078-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP078-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.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 : Sun May  5 05:53:19 EDT 2024

% Result   : Unsatisfiable 0.15s 0.40s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   47
%            Number of leaves      :    5
% Syntax   : Number of formulae    :  117 ( 112 unt;   0 def)
%            Number of atoms       :  125 ( 124 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  15   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  154 ( 154   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4673,plain,
    $false,
    inference(trivial_inequality_removal,[],[f4672]) ).

fof(f4672,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(superposition,[],[f758,f2934]) ).

fof(f2934,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(forward_demodulation,[],[f2848,f10]) ).

fof(f10,plain,
    ! [X0,X1] : inverse(double_divide(X0,X1)) = multiply(X1,X0),
    inference(superposition,[],[f2,f3]) ).

fof(f3,axiom,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

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

fof(f2848,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = inverse(double_divide(multiply(X1,X2),X0)),
    inference(superposition,[],[f1036,f1430]) ).

fof(f1430,plain,
    ! [X2,X0,X1] : double_divide(multiply(X1,X0),double_divide(multiply(X0,X2),X1)) = X2,
    inference(forward_demodulation,[],[f1428,f10]) ).

fof(f1428,plain,
    ! [X2,X0,X1] : double_divide(multiply(X1,X0),double_divide(inverse(double_divide(X2,X0)),X1)) = X2,
    inference(backward_demodulation,[],[f1272,f1414]) ).

fof(f1414,plain,
    ! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
    inference(superposition,[],[f1210,f1365]) ).

fof(f1365,plain,
    ! [X0,X1] : multiply(double_divide(inverse(X1),X0),X0) = X1,
    inference(forward_demodulation,[],[f1351,f751]) ).

fof(f751,plain,
    ! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
    inference(backward_demodulation,[],[f14,f742]) ).

fof(f742,plain,
    ! [X0] : multiply(identity,X0) = X0,
    inference(backward_demodulation,[],[f7,f687]) ).

fof(f687,plain,
    ! [X0] : double_divide(inverse(X0),identity) = X0,
    inference(backward_demodulation,[],[f269,f674]) ).

fof(f674,plain,
    ! [X0] : double_divide(identity,X0) = inverse(X0),
    inference(backward_demodulation,[],[f507,f673]) ).

fof(f673,plain,
    ! [X0] : multiply(identity,multiply(identity,X0)) = X0,
    inference(forward_demodulation,[],[f672,f478]) ).

fof(f478,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f269,f2]) ).

fof(f672,plain,
    ! [X0] : multiply(identity,multiply(identity,X0)) = multiply(X0,identity),
    inference(forward_demodulation,[],[f649,f10]) ).

fof(f649,plain,
    ! [X0] : multiply(identity,multiply(identity,X0)) = inverse(double_divide(identity,X0)),
    inference(backward_demodulation,[],[f54,f644]) ).

fof(f644,plain,
    ! [X0] : double_divide(identity,X0) = multiply(identity,inverse(X0)),
    inference(backward_demodulation,[],[f500,f628]) ).

fof(f628,plain,
    ! [X0] : double_divide(identity,X0) = double_divide(identity,multiply(identity,X0)),
    inference(superposition,[],[f519,f479]) ).

fof(f479,plain,
    ! [X0] : inverse(double_divide(identity,X0)) = X0,
    inference(superposition,[],[f269,f3]) ).

fof(f519,plain,
    ! [X0] : double_divide(identity,multiply(identity,inverse(X0))) = X0,
    inference(forward_demodulation,[],[f518,f500]) ).

fof(f518,plain,
    ! [X0] : double_divide(identity,double_divide(identity,multiply(identity,X0))) = X0,
    inference(forward_demodulation,[],[f497,f16]) ).

fof(f16,plain,
    ! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
    inference(superposition,[],[f7,f3]) ).

fof(f497,plain,
    ! [X0] : double_divide(identity,double_divide(identity,inverse(inverse(X0)))) = X0,
    inference(backward_demodulation,[],[f397,f478]) ).

fof(f397,plain,
    ! [X0] : double_divide(identity,double_divide(identity,inverse(multiply(inverse(X0),identity)))) = X0,
    inference(backward_demodulation,[],[f218,f382]) ).

fof(f382,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f381,f270]) ).

fof(f270,plain,
    identity = double_divide(inverse(identity),identity),
    inference(backward_demodulation,[],[f236,f268]) ).

fof(f268,plain,
    identity = double_divide(identity,multiply(identity,identity)),
    inference(forward_demodulation,[],[f259,f236]) ).

fof(f259,plain,
    double_divide(identity,multiply(identity,identity)) = double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))),
    inference(superposition,[],[f231,f237]) ).

fof(f237,plain,
    inverse(identity) = double_divide(identity,double_divide(identity,multiply(identity,identity))),
    inference(superposition,[],[f231,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

fof(f231,plain,
    ! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,multiply(identity,identity))) = X0,
    inference(forward_demodulation,[],[f224,f16]) ).

fof(f224,plain,
    ! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,inverse(inverse(identity)))) = X0,
    inference(superposition,[],[f193,f12]) ).

fof(f12,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(forward_demodulation,[],[f8,f3]) ).

fof(f8,plain,
    ! [X0] : multiply(inverse(X0),X0) = double_divide(identity,identity),
    inference(superposition,[],[f2,f4]) ).

fof(f193,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(identity,inverse(multiply(inverse(X0),X1)))) = X0,
    inference(forward_demodulation,[],[f178,f3]) ).

fof(f178,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(identity,double_divide(multiply(inverse(X0),X1),identity))) = X0,
    inference(superposition,[],[f15,f4]) ).

fof(f15,plain,
    ! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(multiply(X1,X0),double_divide(X2,X1)))) = X2,
    inference(backward_demodulation,[],[f6,f10]) ).

fof(f6,plain,
    ! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(inverse(double_divide(X0,X1)),double_divide(X2,X1)))) = X2,
    inference(forward_demodulation,[],[f1,f3]) ).

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

fof(f236,plain,
    identity = double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))),
    inference(superposition,[],[f231,f3]) ).

fof(f381,plain,
    inverse(identity) = double_divide(inverse(identity),identity),
    inference(forward_demodulation,[],[f380,f4]) ).

fof(f380,plain,
    inverse(identity) = double_divide(inverse(identity),double_divide(identity,inverse(identity))),
    inference(forward_demodulation,[],[f379,f274]) ).

fof(f274,plain,
    inverse(identity) = multiply(identity,inverse(identity)),
    inference(backward_demodulation,[],[f252,f268]) ).

fof(f252,plain,
    inverse(identity) = multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)),
    inference(superposition,[],[f10,f236]) ).

fof(f379,plain,
    inverse(identity) = double_divide(inverse(identity),double_divide(identity,multiply(identity,inverse(identity)))),
    inference(forward_demodulation,[],[f378,f19]) ).

fof(f19,plain,
    ! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
    inference(superposition,[],[f16,f16]) ).

fof(f378,plain,
    inverse(identity) = double_divide(inverse(identity),double_divide(identity,inverse(multiply(identity,identity)))),
    inference(forward_demodulation,[],[f359,f3]) ).

fof(f359,plain,
    inverse(identity) = double_divide(inverse(identity),double_divide(identity,double_divide(multiply(identity,identity),identity))),
    inference(superposition,[],[f170,f270]) ).

fof(f170,plain,
    ! [X0,X1] : double_divide(inverse(identity),double_divide(identity,double_divide(multiply(X0,identity),double_divide(X1,X0)))) = X1,
    inference(superposition,[],[f15,f3]) ).

fof(f218,plain,
    ! [X0] : double_divide(inverse(identity),double_divide(identity,inverse(multiply(inverse(X0),identity)))) = X0,
    inference(superposition,[],[f193,f3]) ).

fof(f500,plain,
    ! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,multiply(identity,X0)),
    inference(backward_demodulation,[],[f412,f499]) ).

fof(f499,plain,
    ! [X0] : multiply(identity,X0) = double_divide(identity,double_divide(identity,multiply(identity,multiply(identity,X0)))),
    inference(forward_demodulation,[],[f498,f16]) ).

fof(f498,plain,
    ! [X0] : multiply(identity,X0) = double_divide(identity,double_divide(identity,multiply(identity,inverse(inverse(X0))))),
    inference(forward_demodulation,[],[f494,f19]) ).

fof(f494,plain,
    ! [X0] : multiply(identity,X0) = double_divide(identity,double_divide(identity,inverse(multiply(identity,inverse(X0))))),
    inference(backward_demodulation,[],[f410,f478]) ).

fof(f410,plain,
    ! [X0] : multiply(identity,X0) = double_divide(identity,double_divide(identity,inverse(multiply(multiply(identity,inverse(X0)),identity)))),
    inference(backward_demodulation,[],[f373,f382]) ).

fof(f373,plain,
    ! [X0] : multiply(identity,X0) = double_divide(inverse(identity),double_divide(identity,inverse(multiply(multiply(identity,inverse(X0)),identity)))),
    inference(forward_demodulation,[],[f354,f3]) ).

fof(f354,plain,
    ! [X0] : multiply(identity,X0) = double_divide(inverse(identity),double_divide(identity,double_divide(multiply(multiply(identity,inverse(X0)),identity),identity))),
    inference(superposition,[],[f170,f32]) ).

fof(f32,plain,
    ! [X0] : identity = double_divide(multiply(identity,X0),multiply(identity,inverse(X0))),
    inference(superposition,[],[f22,f16]) ).

fof(f22,plain,
    ! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
    inference(superposition,[],[f4,f16]) ).

fof(f412,plain,
    ! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,double_divide(identity,double_divide(identity,multiply(identity,multiply(identity,X0))))),
    inference(backward_demodulation,[],[f375,f382]) ).

fof(f375,plain,
    ! [X0] : multiply(identity,inverse(X0)) = double_divide(inverse(identity),double_divide(identity,double_divide(identity,multiply(identity,multiply(identity,X0))))),
    inference(forward_demodulation,[],[f356,f287]) ).

fof(f287,plain,
    identity = multiply(identity,identity),
    inference(superposition,[],[f270,f7]) ).

fof(f356,plain,
    ! [X0] : multiply(identity,inverse(X0)) = double_divide(inverse(identity),double_divide(identity,double_divide(multiply(identity,identity),multiply(identity,multiply(identity,X0))))),
    inference(superposition,[],[f170,f55]) ).

fof(f55,plain,
    ! [X0] : multiply(identity,multiply(identity,X0)) = double_divide(multiply(identity,inverse(X0)),identity),
    inference(superposition,[],[f7,f19]) ).

fof(f54,plain,
    ! [X0] : multiply(identity,multiply(identity,X0)) = inverse(multiply(identity,inverse(X0))),
    inference(superposition,[],[f16,f19]) ).

fof(f507,plain,
    ! [X0] : inverse(X0) = double_divide(identity,multiply(identity,multiply(identity,X0))),
    inference(forward_demodulation,[],[f506,f16]) ).

fof(f506,plain,
    ! [X0] : inverse(X0) = double_divide(identity,multiply(identity,inverse(inverse(X0)))),
    inference(forward_demodulation,[],[f501,f500]) ).

fof(f501,plain,
    ! [X0] : inverse(X0) = double_divide(identity,double_divide(identity,multiply(identity,inverse(X0)))),
    inference(backward_demodulation,[],[f413,f500]) ).

fof(f413,plain,
    ! [X0] : inverse(X0) = double_divide(identity,double_divide(identity,double_divide(identity,multiply(identity,X0)))),
    inference(backward_demodulation,[],[f376,f382]) ).

fof(f376,plain,
    ! [X0] : inverse(X0) = double_divide(inverse(identity),double_divide(identity,double_divide(identity,multiply(identity,X0)))),
    inference(forward_demodulation,[],[f357,f287]) ).

fof(f357,plain,
    ! [X0] : inverse(X0) = double_divide(inverse(identity),double_divide(identity,double_divide(multiply(identity,identity),multiply(identity,X0)))),
    inference(superposition,[],[f170,f7]) ).

fof(f269,plain,
    ! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
    inference(backward_demodulation,[],[f231,f268]) ).

fof(f7,plain,
    ! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
    inference(superposition,[],[f2,f3]) ).

fof(f14,plain,
    ! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
    inference(forward_demodulation,[],[f9,f3]) ).

fof(f9,plain,
    ! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
    inference(superposition,[],[f2,f2]) ).

fof(f1351,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f1214,f1306]) ).

fof(f1306,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1210,f743]) ).

fof(f743,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(backward_demodulation,[],[f16,f742]) ).

fof(f1214,plain,
    ! [X0,X1] : multiply(inverse(X1),multiply(X1,X0)) = X0,
    inference(forward_demodulation,[],[f1201,f743]) ).

fof(f1201,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(X1),multiply(X1,X0)),
    inference(superposition,[],[f1012,f759]) ).

fof(f759,plain,
    ! [X0,X1] : inverse(X0) = double_divide(inverse(X1),multiply(X0,X1)),
    inference(forward_demodulation,[],[f749,f742]) ).

fof(f749,plain,
    ! [X0,X1] : inverse(X0) = double_divide(inverse(X1),multiply(X0,multiply(identity,X1))),
    inference(backward_demodulation,[],[f726,f742]) ).

fof(f726,plain,
    ! [X0,X1] : inverse(X0) = double_divide(inverse(X1),multiply(multiply(identity,X0),multiply(identity,X1))),
    inference(forward_demodulation,[],[f725,f10]) ).

fof(f725,plain,
    ! [X0,X1] : inverse(X0) = double_divide(inverse(X1),inverse(double_divide(multiply(identity,X1),multiply(identity,X0)))),
    inference(forward_demodulation,[],[f680,f674]) ).

fof(f680,plain,
    ! [X0,X1] : inverse(X0) = double_divide(inverse(X1),double_divide(identity,double_divide(multiply(identity,X1),multiply(identity,X0)))),
    inference(backward_demodulation,[],[f185,f674]) ).

fof(f185,plain,
    ! [X0,X1] : inverse(X0) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(multiply(identity,X1),multiply(identity,X0)))),
    inference(superposition,[],[f15,f7]) ).

fof(f1012,plain,
    ! [X0,X1] : inverse(X1) = multiply(double_divide(X1,X0),X0),
    inference(forward_demodulation,[],[f1007,f3]) ).

fof(f1007,plain,
    ! [X0,X1] : double_divide(X1,identity) = multiply(double_divide(X1,X0),X0),
    inference(superposition,[],[f2,f787]) ).

fof(f787,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
    inference(forward_demodulation,[],[f786,f743]) ).

fof(f786,plain,
    ! [X0,X1] : double_divide(inverse(inverse(X0)),double_divide(X1,X0)) = X1,
    inference(forward_demodulation,[],[f785,f674]) ).

fof(f785,plain,
    ! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),double_divide(X1,X0)) = X1,
    inference(forward_demodulation,[],[f784,f478]) ).

fof(f784,plain,
    ! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),multiply(double_divide(X1,X0),identity)) = X1,
    inference(forward_demodulation,[],[f783,f10]) ).

fof(f783,plain,
    ! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),inverse(double_divide(identity,double_divide(X1,X0)))) = X1,
    inference(forward_demodulation,[],[f698,f674]) ).

fof(f698,plain,
    ! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),double_divide(identity,double_divide(identity,double_divide(X1,X0)))) = X1,
    inference(backward_demodulation,[],[f603,f674]) ).

fof(f603,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(identity,double_divide(identity,double_divide(X1,X0)))) = X1,
    inference(superposition,[],[f15,f561]) ).

fof(f561,plain,
    ! [X0] : identity = multiply(X0,double_divide(identity,X0)),
    inference(superposition,[],[f383,f479]) ).

fof(f383,plain,
    ! [X0] : identity = multiply(inverse(X0),X0),
    inference(backward_demodulation,[],[f12,f382]) ).

fof(f1210,plain,
    ! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = X1,
    inference(forward_demodulation,[],[f1209,f743]) ).

fof(f1209,plain,
    ! [X0,X1] : inverse(inverse(X1)) = multiply(multiply(X1,X0),inverse(X0)),
    inference(forward_demodulation,[],[f1195,f3]) ).

fof(f1195,plain,
    ! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = double_divide(inverse(X1),identity),
    inference(superposition,[],[f2,f759]) ).

fof(f1272,plain,
    ! [X2,X0,X1] : double_divide(multiply(X1,X0),multiply(double_divide(X2,X0),inverse(X1))) = X2,
    inference(forward_demodulation,[],[f1235,f10]) ).

fof(f1235,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(X0,X1)),multiply(double_divide(X2,X0),inverse(X1))) = X2,
    inference(superposition,[],[f715,f1036]) ).

fof(f715,plain,
    ! [X2,X0,X1] : double_divide(inverse(X0),multiply(double_divide(X2,X1),multiply(X1,X0))) = X2,
    inference(forward_demodulation,[],[f714,f10]) ).

fof(f714,plain,
    ! [X2,X0,X1] : double_divide(inverse(X0),inverse(double_divide(multiply(X1,X0),double_divide(X2,X1)))) = X2,
    inference(forward_demodulation,[],[f676,f674]) ).

fof(f676,plain,
    ! [X2,X0,X1] : double_divide(inverse(X0),double_divide(identity,double_divide(multiply(X1,X0),double_divide(X2,X1)))) = X2,
    inference(backward_demodulation,[],[f15,f674]) ).

fof(f1036,plain,
    ! [X0,X1] : inverse(X1) = multiply(X0,double_divide(X0,X1)),
    inference(forward_demodulation,[],[f1031,f3]) ).

fof(f1031,plain,
    ! [X0,X1] : double_divide(X1,identity) = multiply(X0,double_divide(X0,X1)),
    inference(superposition,[],[f2,f998]) ).

fof(f998,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),X1) = X0,
    inference(superposition,[],[f787,f787]) ).

fof(f758,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(trivial_inequality_removal,[],[f757]) ).

fof(f757,plain,
    ( a2 != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
    inference(backward_demodulation,[],[f415,f742]) ).

fof(f415,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | a2 != multiply(identity,a2) ),
    inference(trivial_inequality_removal,[],[f384]) ).

fof(f384,plain,
    ( identity != identity
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | a2 != multiply(identity,a2) ),
    inference(backward_demodulation,[],[f13,f382]) ).

fof(f13,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | a2 != multiply(identity,a2)
    | identity != inverse(identity) ),
    inference(backward_demodulation,[],[f5,f12]) ).

fof(f5,axiom,
    ( a2 != multiply(identity,a2)
    | identity != multiply(inverse(a1),a1)
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08  % Problem    : GRP078-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.07/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29  % Computer : n006.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Fri May  3 20:43:37 EDT 2024
% 0.10/0.29  % CPUTime    : 
% 0.10/0.30  % (18814)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.31  % (18817)WARNING: value z3 for option sas not known
% 0.15/0.31  % (18818)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.31  % (18817)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.31  % (18819)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.31  % (18821)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.31  % (18820)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.31  % (18815)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.31  % (18816)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.31  TRYING [1]
% 0.15/0.31  TRYING [2]
% 0.15/0.31  TRYING [1]
% 0.15/0.31  TRYING [2]
% 0.15/0.32  TRYING [3]
% 0.15/0.32  TRYING [3]
% 0.15/0.32  TRYING [4]
% 0.15/0.33  TRYING [5]
% 0.15/0.34  TRYING [4]
% 0.15/0.39  TRYING [6]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  % (18820)First to succeed.
% 0.15/0.40  % (18820)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18814"
% 0.15/0.40  % (18820)Refutation found. Thanks to Tanya!
% 0.15/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40  % (18820)------------------------------
% 0.15/0.40  % (18820)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40  % (18820)Termination reason: Refutation
% 0.15/0.40  
% 0.15/0.40  % (18820)Memory used [KB]: 2141
% 0.15/0.40  % (18820)Time elapsed: 0.091 s
% 0.15/0.40  % (18820)Instructions burned: 190 (million)
% 0.15/0.40  % (18814)Success in time 0.102 s
%------------------------------------------------------------------------------