%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP115-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 01:25:12 PM UTC 2026
% Result : Unsatisfiable 5.41s 1.31s
% Output : CNFRefutation 5.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 2
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 3 RR)
% Number of literals : 30 ( 29 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),X3)),multiply(identity,multiply(X3,X3)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t1,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),X3)),multiply(identity,multiply(X3,X3)))) = X2,
inference(orient,[status(thm)],[t0]) ).
cnf(t2,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,multiply(identity,multiply(multiply(identity,multiply(X3,X3)),multiply(identity,multiply(X3,X3)))))),
inference(cp,[status(thm)],[t1,t1]) ).
cnf(t6,plain,
multiply(X1,multiply(X2,multiply(identity,multiply(multiply(identity,multiply(X3,X3)),multiply(identity,multiply(X3,X3)))))) = multiply(multiply(X1,X2),X3),
inference(orient,[status(thm)],[t2]) ).
cnf(t8,plain,
multiply(multiply(X1,X2),multiply(identity,X3)) = multiply(X1,multiply(X2,X3)),
inference(cp,[status(thm)],[t6,t1]) ).
cnf(t21,plain,
multiply(multiply(X1,X2),multiply(identity,X3)) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t8]) ).
cnf(t103,plain,
multiply(X1,multiply(X1,multiply(multiply(multiply(X1,X2),X3),multiply(X3,X3)))) = X2,
inference(step,[status(thm)],[t1,t21]) ).
cnf(t23,plain,
multiply(X1,multiply(X1,multiply(multiply(multiply(X1,X2),X3),multiply(X3,X3)))) = X2,
inference(rw,[status(thm)],[t103]) ).
cnf(t29,plain,
multiply(X1,multiply(X1,multiply(multiply(multiply(X1,X2),X3),multiply(X3,X3)))) = X2,
inference(orient,[status(thm)],[t23]) ).
cnf(t31,plain,
X1 = multiply(X2,multiply(X2,multiply(multiply(X2,X1),multiply(identity,identity)))),
inference(cp,[status(thm)],[t29,t21]) ).
cnf(t106,plain,
X1 = multiply(X2,multiply(X2,multiply(X2,multiply(X1,identity)))),
inference(step,[status(thm)],[t31,t21]) ).
cnf(t46,plain,
multiply(X1,multiply(X1,multiply(X1,multiply(X2,identity)))) = X2,
inference(orient,[status(thm)],[t106]) ).
cnf(t22,plain,
multiply(multiply(X1,X2),multiply(multiply(identity,X3),Y3)) = multiply(multiply(X1,multiply(X2,X3)),multiply(identity,Y3)),
inference(cp,[status(thm)],[t21,t21]) ).
cnf(t105,plain,
multiply(multiply(X1,X2),multiply(multiply(identity,X3),Y3)) = multiply(X1,multiply(multiply(X2,X3),Y3)),
inference(step,[status(thm)],[t22,t21]) ).
cnf(t25,plain,
multiply(multiply(X1,X2),multiply(multiply(identity,X3),Y3)) = multiply(X1,multiply(multiply(X2,X3),Y3)),
inference(orient,[status(thm)],[t105]) ).
cnf(t47,plain,
X1 = multiply(identity,multiply(multiply(X2,X2),multiply(multiply(identity,X2),multiply(X1,identity)))),
inference(cp,[status(thm)],[t46,t25]) ).
cnf(t107,plain,
X1 = multiply(identity,multiply(X2,multiply(multiply(X2,X2),multiply(X1,identity)))),
inference(step,[status(thm)],[t47,t25]) ).
cnf(t58,plain,
multiply(identity,multiply(X1,multiply(multiply(X1,X1),multiply(X2,identity)))) = X2,
inference(orient,[status(thm)],[t107]) ).
cnf(t59,plain,
identity = multiply(identity,multiply(X1,multiply(X1,multiply(X1,identity)))),
inference(cp,[status(thm)],[t58,t21]) ).
cnf(t68,plain,
multiply(identity,multiply(X1,multiply(X1,multiply(X1,identity)))) = identity,
inference(orient,[status(thm)],[t59]) ).
cnf(t69,plain,
identity = multiply(identity,multiply(identity,multiply(multiply(X1,X1),multiply(multiply(identity,X1),identity)))),
inference(cp,[status(thm)],[t68,t25]) ).
cnf(t108,plain,
identity = multiply(identity,multiply(identity,multiply(X1,multiply(multiply(X1,X1),identity)))),
inference(step,[status(thm)],[t69,t25]) ).
cnf(t76,plain,
multiply(identity,multiply(identity,multiply(X1,multiply(multiply(X1,X1),identity)))) = identity,
inference(orient,[status(thm)],[t108]) ).
cnf(t79,plain,
identity = multiply(identity,multiply(identity,multiply(multiply(identity,X1),multiply(multiply(identity,multiply(X1,X1)),identity)))),
inference(cp,[status(thm)],[t76,t21]) ).
cnf(t109,plain,
identity = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,multiply(X1,X1)),identity)))),
inference(step,[status(thm)],[t79,t25]) ).
cnf(t110,plain,
identity = multiply(X1,multiply(X1,X1)),
inference(step,[status(thm)],[t109,t46]) ).
cnf(t93,plain,
multiply(X1,multiply(X1,X1)) = identity,
inference(orient,[status(thm)],[t110]) ).
cnf(goal_0,negated_conjecture,
multiply(a,multiply(a,a)) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
identity != identity,
inference(rw,[status(thm)],[goal_0,t93]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP115-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.56 % Computer : n016.cluster.edu
% 0.08/0.56 % Model : x86_64 x86_64
% 0.08/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.56 % Memory : 8046.5625MB
% 0.08/0.56 % OS : Linux 6.8.0-71-generic
% 0.08/0.56 % CPULimit : 300
% 0.08/0.56 % WCLimit : 300
% 0.08/0.56 % DateTime : Wed Sep 23 13:38:56 UTC 2026
% 0.08/0.56 % CPUTime :
% 0.08/0.56 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.41/1.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.41/1.31 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------