%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP491-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 01:27:10 PM UTC 2026
% Result : Unsatisfiable 5.73s 1.18s
% Output : CNFRefutation 5.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 7
% Syntax : Number of clauses : 67 ( 67 unt; 0 nHn; 39 RR)
% Number of literals : 67 ( 66 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X3,X2)))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t11,plain,
double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X3,X2)))) = X3,
inference(orient,[status(thm)],[t1]) ).
cnf(u1,axiom,
identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(d1,axiom,
inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t0,plain,
double_divide(X1,double_divide(X1,identity)) = identity,
inference(definition_unfolding,[status(thm)],[u1,d1]) ).
cnf(t5,plain,
double_divide(X1,double_divide(X1,identity)) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t15,plain,
double_divide(double_divide(X1,identity),identity) = double_divide(double_divide(identity,X1),double_divide(identity,identity)),
inference(cp,[status(thm)],[t11,t5]) ).
cnf(t26,plain,
double_divide(double_divide(identity,X1),double_divide(identity,identity)) = double_divide(double_divide(X1,identity),identity),
inference(orient,[status(thm)],[t15]) ).
cnf(t27,plain,
double_divide(double_divide(double_divide(identity,identity),identity),identity) = double_divide(identity,double_divide(identity,identity)),
inference(cp,[status(thm)],[t26,t5]) ).
cnf(t210,plain,
double_divide(double_divide(double_divide(identity,identity),identity),identity) = identity,
inference(step,[status(thm)],[t27,t5]) ).
cnf(t30,plain,
double_divide(double_divide(double_divide(identity,identity),identity),identity) = identity,
inference(orient,[status(thm)],[t210]) ).
cnf(t31,plain,
X1 = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,double_divide(identity,double_divide(X1,identity)))),
inference(cp,[status(thm)],[t11,t30]) ).
cnf(t211,plain,
X1 = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,identity)))),
inference(step,[status(thm)],[t31,t5]) ).
cnf(t34,plain,
double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,identity)))) = X1,
inference(orient,[status(thm)],[t211]) ).
cnf(t37,plain,
double_divide(double_divide(identity,identity),identity) = double_divide(identity,double_divide(identity,double_divide(identity,identity))),
inference(cp,[status(thm)],[t34,t30]) ).
cnf(t212,plain,
double_divide(double_divide(identity,identity),identity) = double_divide(identity,identity),
inference(step,[status(thm)],[t37,t5]) ).
cnf(t42,plain,
double_divide(double_divide(identity,identity),identity) = double_divide(identity,identity),
inference(orient,[status(thm)],[t212]) ).
cnf(t213,plain,
double_divide(double_divide(identity,identity),identity) = identity,
inference(step,[status(thm)],[t30,t42]) ).
cnf(t214,plain,
double_divide(identity,identity) = identity,
inference(step,[status(thm)],[t213,t42]) ).
cnf(t43,plain,
double_divide(identity,identity) = identity,
inference(rw,[status(thm)],[t214]) ).
cnf(t51,plain,
double_divide(identity,identity) = identity,
inference(orient,[status(thm)],[t43]) ).
cnf(t216,plain,
double_divide(double_divide(identity,X1),identity) = double_divide(double_divide(X1,identity),identity),
inference(step,[status(thm)],[t26,t51]) ).
cnf(t52,plain,
double_divide(double_divide(identity,X1),identity) = double_divide(double_divide(X1,identity),identity),
inference(rw,[status(thm)],[t216]) ).
cnf(t74,plain,
double_divide(double_divide(identity,X1),identity) = double_divide(double_divide(X1,identity),identity),
inference(orient,[status(thm)],[t52]) ).
cnf(t81,plain,
double_divide(identity,X1) = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(double_divide(double_divide(X2,identity),identity),double_divide(double_divide(X1,identity),identity)))),
inference(cp,[status(thm)],[t11,t74]) ).
cnf(t217,plain,
double_divide(identity,X1) = double_divide(X1,identity),
inference(step,[status(thm)],[t81,t11]) ).
cnf(t82,plain,
double_divide(identity,X1) = double_divide(X1,identity),
inference(orient,[status(thm)],[t217]) ).
cnf(t219,plain,
double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X3,X2)))) = X3,
inference(step,[status(thm)],[t11,t82]) ).
cnf(t84,plain,
double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X3,X2)))) = X3,
inference(rw,[status(thm)],[t219]) ).
cnf(t105,plain,
double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X3,X2)))) = X3,
inference(orient,[status(thm)],[t84]) ).
cnf(t2,axiom,
sF0 = double_divide(a2,identity),
introduced(definition) ).
cnf(t4,plain,
double_divide(a2,identity) = sF0,
inference(orient,[status(thm)],[t2]) ).
cnf(t6,plain,
identity = double_divide(a2,sF0),
inference(cp,[status(thm)],[t5,t4]) ).
cnf(t7,plain,
double_divide(a2,sF0) = identity,
inference(orient,[status(thm)],[t6]) ).
cnf(t110,plain,
X1 = double_divide(double_divide(identity,a2),double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X1,sF0)))),
inference(cp,[status(thm)],[t105,t7]) ).
cnf(t218,plain,
double_divide(identity,a2) = sF0,
inference(step,[status(thm)],[t4,t82]) ).
cnf(t83,plain,
double_divide(identity,a2) = sF0,
inference(rw,[status(thm)],[t218]) ).
cnf(t99,plain,
double_divide(identity,a2) = sF0,
inference(orient,[status(thm)],[t83]) ).
cnf(t233,plain,
X1 = double_divide(sF0,double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X1,sF0)))),
inference(step,[status(thm)],[t110,t99]) ).
cnf(t234,plain,
X1 = double_divide(sF0,double_divide(identity,double_divide(identity,double_divide(X1,sF0)))),
inference(step,[status(thm)],[t233,t51]) ).
cnf(t194,plain,
double_divide(sF0,double_divide(identity,double_divide(identity,double_divide(X1,sF0)))) = X1,
inference(orient,[status(thm)],[t234]) ).
cnf(t195,plain,
a2 = double_divide(sF0,double_divide(identity,double_divide(identity,identity))),
inference(cp,[status(thm)],[t194,t7]) ).
cnf(t235,plain,
a2 = double_divide(sF0,identity),
inference(step,[status(thm)],[t195,t5]) ).
cnf(t3,axiom,
sF1 = double_divide(double_divide(a2,identity),identity),
introduced(definition) ).
cnf(t209,plain,
sF1 = double_divide(sF0,identity),
inference(step,[status(thm)],[t3,t4]) ).
cnf(t8,plain,
double_divide(sF0,identity) = sF1,
inference(orient,[status(thm)],[t209]) ).
cnf(t236,plain,
a2 = sF1,
inference(step,[status(thm)],[t235,t8]) ).
cnf(t201,plain,
a2 = sF1,
inference(orient,[status(thm)],[t236]) ).
cnf(t35,plain,
a2 = double_divide(identity,double_divide(identity,double_divide(identity,sF0))),
inference(cp,[status(thm)],[t34,t4]) ).
cnf(t57,plain,
double_divide(identity,double_divide(identity,double_divide(identity,sF0))) = a2,
inference(orient,[status(thm)],[t35]) ).
cnf(t85,plain,
double_divide(identity,double_divide(identity,double_divide(sF0,identity))) = a2,
inference(rw,[status(thm)],[t57]) ).
cnf(t228,plain,
double_divide(identity,double_divide(identity,sF1)) = a2,
inference(step,[status(thm)],[t85,t8]) ).
cnf(t87,plain,
double_divide(identity,double_divide(identity,X1)) = double_divide(double_divide(X1,identity),identity),
inference(rw,[status(thm)],[t74]) ).
cnf(t225,plain,
double_divide(identity,double_divide(identity,X1)) = double_divide(identity,double_divide(X1,identity)),
inference(step,[status(thm)],[t87,t82]) ).
cnf(t131,plain,
double_divide(identity,double_divide(identity,X1)) = double_divide(identity,double_divide(X1,identity)),
inference(orient,[status(thm)],[t225]) ).
cnf(t229,plain,
double_divide(identity,double_divide(sF1,identity)) = a2,
inference(step,[status(thm)],[t228,t131]) ).
cnf(t147,plain,
double_divide(identity,double_divide(sF1,identity)) = a2,
inference(orient,[status(thm)],[t229]) ).
cnf(t239,plain,
double_divide(identity,double_divide(sF1,identity)) = sF1,
inference(step,[status(thm)],[t147,t201]) ).
cnf(t204,plain,
double_divide(identity,double_divide(sF1,identity)) = sF1,
inference(orient,[status(thm)],[t239]) ).
cnf(u0,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(d0,axiom,
multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(goal_0,negated_conjecture,
double_divide(double_divide(a2,identity),identity) != a2,
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(g0_0,plain,
double_divide(double_divide(sF1,identity),identity) != a2,
inference(rw,[status(thm)],[goal_0,t201]) ).
cnf(g0_1,plain,
double_divide(identity,double_divide(sF1,identity)) != a2,
inference(rw,[status(thm)],[g0_0,t82]) ).
cnf(g0_2,plain,
sF1 != a2,
inference(rw,[status(thm)],[g0_1,t204]) ).
cnf(g0_3,plain,
sF1 != sF1,
inference(rw,[status(thm)],[g0_2,t201]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP491-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 14:53:19 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.73/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.73/1.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------