%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 01:25:40 PM UTC 2026
% Result : Unsatisfiable 6.45s 1.31s
% Output : CNFRefutation 6.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 12 RR)
% Number of literals : 27 ( 26 equ; 11 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
multiply(X1,multiply(X2,X2)) = multiply(X2,multiply(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t3,plain,
multiply(X1,multiply(X2,X2)) = multiply(X2,multiply(X2,X1)),
inference(orient,[status(thm)],[t0]) ).
cnf(t1,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t2,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t1]) ).
cnf(t5,plain,
multiply(multiply(X1,X2),multiply(multiply(X1,X2),X3)) = multiply(X3,multiply(X1,multiply(X2,multiply(X1,X2)))),
inference(cp,[status(thm)],[t3,t2]) ).
cnf(t186,plain,
multiply(X1,multiply(X2,multiply(multiply(X1,X2),X3))) = multiply(X3,multiply(X1,multiply(X2,multiply(X1,X2)))),
inference(step,[status(thm)],[t5,t2]) ).
cnf(t187,plain,
multiply(X1,multiply(X2,multiply(X1,multiply(X2,X3)))) = multiply(X3,multiply(X1,multiply(X2,multiply(X1,X2)))),
inference(step,[status(thm)],[t186,t2]) ).
cnf(t106,plain,
multiply(X1,multiply(X2,multiply(X1,multiply(X2,X3)))) = multiply(X3,multiply(X1,multiply(X2,multiply(X1,X2)))),
inference(orient,[status(thm)],[t187]) ).
cnf(t6,plain,
multiply(X1,multiply(multiply(X2,X2),X3)) = multiply(multiply(X2,multiply(X2,X1)),X3),
inference(cp,[status(thm)],[t2,t3]) ).
cnf(t183,plain,
multiply(X1,multiply(X2,multiply(X2,X3))) = multiply(multiply(X2,multiply(X2,X1)),X3),
inference(step,[status(thm)],[t6,t2]) ).
cnf(t184,plain,
multiply(X1,multiply(X2,multiply(X2,X3))) = multiply(X2,multiply(multiply(X2,X1),X3)),
inference(step,[status(thm)],[t183,t2]) ).
cnf(t185,plain,
multiply(X1,multiply(X2,multiply(X2,X3))) = multiply(X2,multiply(X2,multiply(X1,X3))),
inference(step,[status(thm)],[t184,t2]) ).
cnf(t36,plain,
multiply(X1,multiply(X2,multiply(X2,X3))) = multiply(X2,multiply(X2,multiply(X1,X3))),
inference(orient,[status(thm)],[t185]) ).
cnf(t4,plain,
multiply(X1,multiply(X1,multiply(X2,X3))) = multiply(X2,multiply(X3,multiply(X1,X1))),
inference(cp,[status(thm)],[t3,t2]) ).
cnf(t12,plain,
multiply(X1,multiply(X1,multiply(X2,X3))) = multiply(X2,multiply(X3,multiply(X1,X1))),
inference(orient,[status(thm)],[t4]) ).
cnf(goal_0,negated_conjecture,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,a))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(rw,[status(thm)],[goal_0,t106]) ).
cnf(g0_1,plain,
multiply(a,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,multiply(b,a))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(rw,[status(thm)],[g0_0,t36]) ).
cnf(g0_2,plain,
multiply(b,multiply(b,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,a))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(rw,[status(thm)],[g0_1,t36]) ).
cnf(g0_3,plain,
multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(rw,[status(thm)],[g0_2,t36]) ).
cnf(g0_4,plain,
multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a))))))) != multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(b,b))))))),
inference(rw,[status(thm)],[g0_3,t36]) ).
cnf(g0_5,plain,
multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a))))))) != multiply(b,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,b))))))),
inference(rw,[status(thm)],[g0_4,t36]) ).
cnf(g0_6,plain,
multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a))))))) != multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,b))))))),
inference(rw,[status(thm)],[g0_5,t36]) ).
cnf(g0_7,plain,
multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a))))))) != multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,b))))))),
inference(rw,[status(thm)],[g0_6,t36]) ).
cnf(g0_8,plain,
multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a))))))) != multiply(b,multiply(b,multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,a))))))),
inference(rw,[status(thm)],[g0_7,t12]) ).
cnf(g0_9,plain,
multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a))))))) != multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(a,a))))))),
inference(rw,[status(thm)],[g0_8,t36]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 14:09:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.45/1.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.45/1.31 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------