↑ Up

FindProof---0.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : GRP408-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:26:06 PM UTC 2026

% Result   : Unsatisfiable 7.36s 1.51s
% Output   : CNFRefutation 7.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   69
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   86 (  86 unt;   0 nHn;   3 RR)
%            Number of literals    :   86 (  85 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   13 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  288 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(t0,axiom,
    multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

cnf(t1,plain,
    multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = X3,
    inference(orient,[status(thm)],[t0]) ).

cnf(t2,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),Y3)),multiply(inverse(X3),multiply(inverse(X3),X3)))) = multiply(X1,inverse(multiply(inverse(Y3),multiply(inverse(X2),multiply(inverse(X2),X2))))),
    inference(cp,[status(thm)],[t1,t1]) ).

cnf(t4,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),Y3)),multiply(inverse(X3),multiply(inverse(X3),X3)))) = multiply(X1,inverse(multiply(inverse(Y3),multiply(inverse(X2),multiply(inverse(X2),X2))))),
    inference(orient,[status(thm)],[t2]) ).

cnf(t8,plain,
    X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X3),multiply(inverse(X3),X3)))))),
    inference(cp,[status(thm)],[t1,t4]) ).

cnf(t32,plain,
    multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(X3),multiply(inverse(X2),multiply(inverse(X2),X2)))))) = X3,
    inference(orient,[status(thm)],[t8]) ).

cnf(t36,plain,
    multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),Y3) = multiply(inverse(multiply(Y4,X3)),multiply(Y4,multiply(X1,inverse(multiply(inverse(Y3),multiply(inverse(X2),multiply(inverse(X2),X2))))))),
    inference(cp,[status(thm)],[t32,t4]) ).

cnf(t45,plain,
    multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,inverse(multiply(inverse(Y3),multiply(inverse(Y4),multiply(inverse(Y4),Y4))))))) = multiply(inverse(multiply(inverse(multiply(X3,Y4)),X2)),Y3),
    inference(orient,[status(thm)],[t36]) ).

cnf(t50,plain,
    multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),Y3)) = multiply(inverse(multiply(Y4,X3)),multiply(Y4,Y3)),
    inference(cp,[status(thm)],[t45,t1]) ).

cnf(t72,plain,
    multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),Y3)) = multiply(inverse(multiply(Y4,X3)),multiply(Y4,Y3)),
    inference(orient,[status(thm)],[t50]) ).

cnf(t113,plain,
    multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(Y3,X2)),multiply(Y3,X3)),
    inference(cp,[status(thm)],[t72,t72]) ).

cnf(t146,plain,
    multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(Y3,X2)),multiply(Y3,X3)),
    inference(orient,[status(thm)],[t113]) ).

cnf(t169,plain,
    multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = inverse(multiply(inverse(multiply(inverse(multiply(Y3,Y4)),multiply(Y3,X3))),multiply(inverse(Y4),multiply(inverse(Y4),Y4)))),
    inference(cp,[status(thm)],[t4,t146]) ).

cnf(t9182,plain,
    X3 = inverse(multiply(inverse(multiply(inverse(multiply(Y3,Y4)),multiply(Y3,X3))),multiply(inverse(Y4),multiply(inverse(Y4),Y4)))),
    inference(step,[status(thm)],[t169,t1]) ).

cnf(t174,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),multiply(inverse(X2),multiply(inverse(X2),X2)))) = X3,
    inference(orient,[status(thm)],[t9182]) ).

cnf(t209,plain,
    multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(Y3,multiply(inverse(multiply(inverse(multiply(Y4,X2)),multiply(Y4,Y3))),X3)),
    inference(cp,[status(thm)],[t146,t174]) ).

cnf(t2696,plain,
    multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(Y3,multiply(inverse(multiply(inverse(multiply(Y4,X2)),multiply(Y4,Y3))),X3)),
    inference(orient,[status(thm)],[t209]) ).

cnf(t2710,plain,
    multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),Y3)) = multiply(Y4,multiply(inverse(multiply(inverse(multiply(Y5,X3)),multiply(Y5,Y4))),Y3)),
    inference(cp,[status(thm)],[t2696,t174]) ).

cnf(t3080,plain,
    multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),Y3)) = multiply(Y4,multiply(inverse(multiply(inverse(multiply(Y5,X3)),multiply(Y5,Y4))),Y3)),
    inference(orient,[status(thm)],[t2710]) ).

cnf(t148,plain,
    multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),Y3)),multiply(inverse(X3),multiply(inverse(X3),X3)))))),multiply(X1,Y4)) = multiply(inverse(Y3),multiply(X2,Y4)),
    inference(cp,[status(thm)],[t146,t1]) ).

cnf(t370,plain,
    multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),Y3)),multiply(inverse(X3),multiply(inverse(X3),X3)))))),multiply(X1,Y4)) = multiply(inverse(Y3),multiply(X2,Y4)),
    inference(orient,[status(thm)],[t148]) ).

cnf(t3112,plain,
    multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),Y4)),multiply(inverse(Y3),multiply(inverse(Y3),Y3)))))),multiply(X2,X1))),Y5)) = multiply(Y6,multiply(inverse(multiply(inverse(Y4),multiply(X3,Y6))),Y5)),
    inference(cp,[status(thm)],[t3080,t370]) ).

cnf(t9184,plain,
    multiply(X1,multiply(inverse(multiply(inverse(Y4),multiply(X3,X1))),Y5)) = multiply(Y6,multiply(inverse(multiply(inverse(Y4),multiply(X3,Y6))),Y5)),
    inference(step,[status(thm)],[t3112,t370]) ).

cnf(t3275,plain,
    multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X3,X1))),Y3)) = multiply(Y4,multiply(inverse(multiply(inverse(X2),multiply(X3,Y4))),Y3)),
    inference(orient,[status(thm)],[t9184]) ).

cnf(t152,plain,
    multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),Y4)),multiply(inverse(Y3),multiply(inverse(Y3),Y3)))))) = multiply(inverse(multiply(X3,X2)),Y4),
    inference(cp,[status(thm)],[t146,t1]) ).

cnf(t443,plain,
    multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),Y4)),multiply(inverse(Y3),multiply(inverse(Y3),Y3)))))) = multiply(inverse(multiply(X3,X2)),Y4),
    inference(orient,[status(thm)],[t152]) ).

cnf(t3285,plain,
    multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X3,X1))),multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(multiply(Y3,Y4)),Y5)),multiply(inverse(Y4),multiply(inverse(Y4),Y4))))))) = multiply(Y6,multiply(inverse(multiply(Y3,multiply(X3,Y6))),Y5)),
    inference(cp,[status(thm)],[t3275,t443]) ).

cnf(t9185,plain,
    multiply(X1,multiply(inverse(multiply(Y3,multiply(X3,X1))),Y5)) = multiply(Y6,multiply(inverse(multiply(Y3,multiply(X3,Y6))),Y5)),
    inference(step,[status(thm)],[t3285,t443]) ).

cnf(t3459,plain,
    multiply(X1,multiply(inverse(multiply(X2,multiply(X3,X1))),Y3)) = multiply(Y4,multiply(inverse(multiply(X2,multiply(X3,Y4))),Y3)),
    inference(orient,[status(thm)],[t9185]) ).

cnf(t3535,plain,
    multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(X3,Y3))))),Y4) = multiply(X3,inverse(multiply(inverse(multiply(Y5,multiply(inverse(multiply(X1,multiply(X2,Y5))),Y4))),multiply(inverse(Y3),multiply(inverse(Y3),Y3))))),
    inference(cp,[status(thm)],[t1,t3459]) ).

cnf(t4074,plain,
    multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,multiply(Y3,X2))),Y4))),multiply(inverse(Y5),multiply(inverse(Y5),Y5))))) = multiply(inverse(multiply(X3,multiply(Y3,inverse(multiply(X1,Y5))))),Y4),
    inference(orient,[status(thm)],[t3535]) ).

cnf(t4085,plain,
    multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(X3,Y3))))),Y4) = multiply(X3,inverse(multiply(inverse(multiply(Y5,multiply(inverse(multiply(X1,multiply(X2,inverse(Y3)))),Y4))),multiply(Y5,multiply(inverse(Y3),Y3))))),
    inference(cp,[status(thm)],[t4074,t146]) ).

cnf(t4306,plain,
    multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(inverse(multiply(X3,multiply(Y3,inverse(Y4)))),Y5))),multiply(X2,multiply(inverse(Y4),Y4))))) = multiply(inverse(multiply(X3,multiply(Y3,inverse(multiply(X1,Y4))))),Y5),
    inference(orient,[status(thm)],[t4085]) ).

cnf(t195,plain,
    multiply(inverse(X1),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,X1)),inverse(multiply(X3,multiply(inverse(multiply(X2,X3)),multiply(inverse(multiply(X2,X3)),multiply(X2,X3)))))),
    inference(cp,[status(thm)],[t1,t174]) ).

cnf(t6217,plain,
    multiply(inverse(X1),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,X1)),inverse(multiply(X3,multiply(inverse(multiply(X2,X3)),multiply(inverse(multiply(X2,X3)),multiply(X2,X3)))))),
    inference(orient,[status(thm)],[t195]) ).

cnf(t6629,plain,
    X1 = multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X1)))),multiply(inverse(X3),multiply(inverse(X3),X3))),
    inference(cp,[status(thm)],[t32,t6217]) ).

cnf(t6681,plain,
    multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),multiply(inverse(X2),multiply(inverse(X2),X2))) = X3,
    inference(orient,[status(thm)],[t6629]) ).

cnf(t6872,plain,
    multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X3,Y3))))),multiply(inverse(X2),multiply(inverse(X2),X2))) = multiply(X3,inverse(multiply(inverse(multiply(Y4,Y3)),multiply(Y4,multiply(inverse(Y3),Y3))))),
    inference(cp,[status(thm)],[t4306,t6681]) ).

cnf(t9186,plain,
    multiply(X3,Y3) = multiply(X3,inverse(multiply(inverse(multiply(Y4,Y3)),multiply(Y4,multiply(inverse(Y3),Y3))))),
    inference(step,[status(thm)],[t6872,t6681]) ).

cnf(t6914,plain,
    multiply(X1,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X3),X3))))) = multiply(X1,X3),
    inference(orient,[status(thm)],[t9186]) ).

cnf(t7020,plain,
    inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(X2),X2)))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),multiply(X3,X2))),multiply(inverse(Y3),multiply(inverse(Y3),Y3)))),
    inference(cp,[status(thm)],[t174,t6914]) ).

cnf(t9195,plain,
    inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(X2),X2)))) = X2,
    inference(step,[status(thm)],[t7020,t174]) ).

cnf(t7577,plain,
    inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(X2),X2)))) = X2,
    inference(orient,[status(thm)],[t9195]) ).

cnf(t159,plain,
    multiply(inverse(X1),X2) = multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(multiply(inverse(multiply(Y3,X2)),multiply(Y3,multiply(inverse(X1),X1)))))),
    inference(cp,[status(thm)],[t32,t146]) ).

cnf(t219,plain,
    multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(X3,Y3)),multiply(X3,multiply(inverse(X2),X2)))))) = multiply(inverse(X2),Y3),
    inference(orient,[status(thm)],[t159]) ).

cnf(t7047,plain,
    multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,X1)),multiply(X2,X1)),
    inference(cp,[status(thm)],[t219,t6914]) ).

cnf(t7140,plain,
    multiply(inverse(multiply(X1,X2)),multiply(X1,X2)) = multiply(inverse(X2),X2),
    inference(orient,[status(thm)],[t7047]) ).

cnf(t7161,plain,
    multiply(inverse(multiply(inverse(X1),multiply(inverse(X1),X1))),multiply(inverse(X1),multiply(inverse(X1),X1))) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1)))),
    inference(cp,[status(thm)],[t7140,t6681]) ).

cnf(t9192,plain,
    multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1)))),
    inference(step,[status(thm)],[t7161,t7140]) ).

cnf(t9193,plain,
    multiply(inverse(X1),X1) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1)))),
    inference(step,[status(thm)],[t9192,t7140]) ).

cnf(t9194,plain,
    multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
    inference(step,[status(thm)],[t9193,t6681]) ).

cnf(t7376,plain,
    multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
    inference(orient,[status(thm)],[t9194]) ).

cnf(t7658,plain,
    X1 = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X3),X3)))),
    inference(cp,[status(thm)],[t7577,t7376]) ).

cnf(t8056,plain,
    inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(inverse(X3),X3)))) = X2,
    inference(orient,[status(thm)],[t7658]) ).

cnf(t8166,plain,
    multiply(inverse(X1),X2) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
    inference(cp,[status(thm)],[t32,t8056]) ).

cnf(t8546,plain,
    multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(X2),X3),
    inference(orient,[status(thm)],[t8166]) ).

cnf(t8589,plain,
    multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = inverse(multiply(inverse(multiply(inverse(Y3),X3)),multiply(inverse(Y3),multiply(inverse(Y3),Y3)))),
    inference(cp,[status(thm)],[t4,t8546]) ).

cnf(t9238,plain,
    X3 = inverse(multiply(inverse(multiply(inverse(Y3),X3)),multiply(inverse(Y3),multiply(inverse(Y3),Y3)))),
    inference(step,[status(thm)],[t8589,t1]) ).

cnf(t9239,plain,
    X3 = inverse(multiply(inverse(X3),multiply(inverse(Y3),Y3))),
    inference(step,[status(thm)],[t9238,t8546]) ).

cnf(t8614,plain,
    inverse(multiply(inverse(X1),multiply(inverse(X2),X2))) = X1,
    inference(orient,[status(thm)],[t9239]) ).

cnf(t8636,plain,
    X1 = multiply(inverse(X2),inverse(multiply(inverse(multiply(X2,X1)),multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),
    inference(cp,[status(thm)],[t1,t8614]) ).

cnf(t9240,plain,
    X1 = multiply(inverse(X2),inverse(multiply(inverse(multiply(X2,X1)),multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3))))),
    inference(step,[status(thm)],[t8636,t8546]) ).

cnf(t9241,plain,
    X1 = multiply(inverse(X2),inverse(multiply(inverse(multiply(X2,X1)),multiply(inverse(X3),X3)))),
    inference(step,[status(thm)],[t9240,t8546]) ).

cnf(t9242,plain,
    X1 = multiply(inverse(X2),multiply(X2,X1)),
    inference(step,[status(thm)],[t9241,t8614]) ).

cnf(t8658,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(orient,[status(thm)],[t9242]) ).

cnf(t8671,plain,
    multiply(X1,X2) = multiply(inverse(inverse(X1)),X2),
    inference(cp,[status(thm)],[t8658,t8658]) ).

cnf(t8693,plain,
    multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
    inference(orient,[status(thm)],[t8671]) ).

cnf(t8694,plain,
    multiply(X1,multiply(inverse(X1),X2)) = X2,
    inference(cp,[status(thm)],[t8693,t8658]) ).

cnf(t8900,plain,
    multiply(X1,multiply(inverse(X1),X2)) = X2,
    inference(orient,[status(thm)],[t8694]) ).

cnf(t8906,plain,
    X1 = multiply(X1,multiply(inverse(X2),X2)),
    inference(cp,[status(thm)],[t8900,t7376]) ).

cnf(t8967,plain,
    multiply(X1,multiply(inverse(X2),X2)) = X1,
    inference(orient,[status(thm)],[t8906]) ).

cnf(t8916,plain,
    X1 = inverse(inverse(X1)),
    inference(cp,[status(thm)],[t8614,t8900]) ).

cnf(t8941,plain,
    inverse(inverse(X1)) = X1,
    inference(orient,[status(thm)],[t8916]) ).

cnf(t8973,plain,
    X1 = multiply(X1,multiply(X2,inverse(X2))),
    inference(cp,[status(thm)],[t8967,t8941]) ).

cnf(t8993,plain,
    multiply(X1,multiply(X2,inverse(X2))) = X1,
    inference(orient,[status(thm)],[t8973]) ).

cnf(t8994,plain,
    inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)),
    inference(cp,[status(thm)],[t8993,t8546]) ).

cnf(t9062,plain,
    multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
    inference(orient,[status(thm)],[t8994]) ).

cnf(t9072,plain,
    inverse(X1) = multiply(X2,inverse(multiply(X1,X2))),
    inference(cp,[status(thm)],[t8900,t9062]) ).

cnf(t9151,plain,
    multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
    inference(orient,[status(thm)],[t9072]) ).

cnf(t9157,plain,
    multiply(inverse(inverse(multiply(X1,X2))),X3) = multiply(inverse(inverse(X1)),multiply(X2,X3)),
    inference(cp,[status(thm)],[t8546,t9151]) ).

cnf(t9259,plain,
    multiply(multiply(X1,X2),X3) = multiply(inverse(inverse(X1)),multiply(X2,X3)),
    inference(step,[status(thm)],[t9157,t8693]) ).

cnf(t9260,plain,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    inference(step,[status(thm)],[t9259,t8693]) ).

cnf(t9165,plain,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    inference(orient,[status(thm)],[t9260]) ).

cnf(goal_0,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

cnf(g0_0,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(rw,[status(thm)],[goal_0,t9165]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP408-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35  % Computer : n009.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Wed Sep 23 14:41:14 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.36/1.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.36/1.51  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------