%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP485-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n003.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 01:27:09 PM UTC 2026
% Result : Unsatisfiable 2.30s 0.79s
% Output : CNFRefutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 7
% Syntax : Number of clauses : 52 ( 52 unt; 0 nHn; 20 RR)
% Number of literals : 52 ( 51 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 : 48 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X2,identity))),double_divide(identity,identity)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X2,identity))),double_divide(identity,identity)) = X3,
inference(orient,[status(thm)],[t1]) ).
cnf(u1,axiom,
identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(d1,axiom,
inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox2/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(t14,plain,
double_divide(double_divide(X1,X2),identity) = double_divide(double_divide(X1,double_divide(identity,double_divide(X2,identity))),double_divide(identity,identity)),
inference(cp,[status(thm)],[t11,t5]) ).
cnf(t23,plain,
double_divide(double_divide(X1,double_divide(identity,double_divide(X2,identity))),double_divide(identity,identity)) = double_divide(double_divide(X1,X2),identity),
inference(orient,[status(thm)],[t14]) ).
cnf(t25,plain,
double_divide(double_divide(X1,identity),identity) = double_divide(double_divide(X1,identity),double_divide(identity,identity)),
inference(cp,[status(thm)],[t23,t5]) ).
cnf(t30,plain,
double_divide(double_divide(X1,identity),double_divide(identity,identity)) = double_divide(double_divide(X1,identity),identity),
inference(orient,[status(thm)],[t25]) ).
cnf(t34,plain,
double_divide(identity,identity) = double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,identity),identity),double_divide(identity,identity))),double_divide(identity,identity)),
inference(cp,[status(thm)],[t11,t30]) ).
cnf(t180,plain,
double_divide(identity,identity) = identity,
inference(step,[status(thm)],[t34,t11]) ).
cnf(t36,plain,
double_divide(identity,identity) = identity,
inference(orient,[status(thm)],[t180]) ).
cnf(t181,plain,
double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X2,identity))),identity) = X3,
inference(step,[status(thm)],[t11,t36]) ).
cnf(t37,plain,
double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X2,identity))),identity) = X3,
inference(rw,[status(thm)],[t181]) ).
cnf(t45,plain,
double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X2,identity))),identity) = X3,
inference(orient,[status(thm)],[t37]) ).
cnf(t2,axiom,
sF0 = double_divide(a2,identity),
introduced(definition) ).
cnf(t4,plain,
double_divide(a2,identity) = sF0,
inference(orient,[status(thm)],[t2]) ).
cnf(t46,plain,
X1 = double_divide(double_divide(a2,double_divide(double_divide(sF0,X1),double_divide(identity,identity))),identity),
inference(cp,[status(thm)],[t45,t4]) ).
cnf(t184,plain,
X1 = double_divide(double_divide(a2,double_divide(double_divide(sF0,X1),identity)),identity),
inference(step,[status(thm)],[t46,t36]) ).
cnf(t75,plain,
double_divide(double_divide(a2,double_divide(double_divide(sF0,X1),identity)),identity) = X1,
inference(orient,[status(thm)],[t184]) ).
cnf(t182,plain,
double_divide(double_divide(X1,double_divide(identity,double_divide(X2,identity))),identity) = double_divide(double_divide(X1,X2),identity),
inference(step,[status(thm)],[t23,t36]) ).
cnf(t38,plain,
double_divide(double_divide(X1,double_divide(identity,double_divide(X2,identity))),identity) = double_divide(double_divide(X1,X2),identity),
inference(rw,[status(thm)],[t182]) ).
cnf(t40,plain,
double_divide(double_divide(X1,double_divide(identity,double_divide(X2,identity))),identity) = double_divide(double_divide(X1,X2),identity),
inference(orient,[status(thm)],[t38]) ).
cnf(t77,plain,
double_divide(identity,double_divide(X1,identity)) = double_divide(double_divide(a2,double_divide(double_divide(sF0,X1),identity)),identity),
inference(cp,[status(thm)],[t75,t40]) ).
cnf(t189,plain,
double_divide(identity,double_divide(X1,identity)) = X1,
inference(step,[status(thm)],[t77,t75]) ).
cnf(t92,plain,
double_divide(identity,double_divide(X1,identity)) = X1,
inference(orient,[status(thm)],[t189]) ).
cnf(t95,plain,
double_divide(a2,double_divide(double_divide(sF0,X1),identity)) = double_divide(identity,X1),
inference(cp,[status(thm)],[t92,t75]) ).
cnf(t104,plain,
double_divide(a2,double_divide(double_divide(sF0,X1),identity)) = double_divide(identity,X1),
inference(orient,[status(thm)],[t95]) ).
cnf(t3,axiom,
sF1 = double_divide(double_divide(a2,identity),identity),
introduced(definition) ).
cnf(t179,plain,
sF1 = double_divide(sF0,identity),
inference(step,[status(thm)],[t3,t4]) ).
cnf(t8,plain,
double_divide(sF0,identity) = sF1,
inference(orient,[status(thm)],[t179]) ).
cnf(t50,plain,
X1 = double_divide(double_divide(sF0,double_divide(double_divide(sF1,X1),double_divide(identity,identity))),identity),
inference(cp,[status(thm)],[t45,t8]) ).
cnf(t198,plain,
X1 = double_divide(double_divide(sF0,double_divide(double_divide(sF1,X1),identity)),identity),
inference(step,[status(thm)],[t50,t36]) ).
cnf(t154,plain,
double_divide(double_divide(sF0,double_divide(double_divide(sF1,X1),identity)),identity) = X1,
inference(orient,[status(thm)],[t198]) ).
cnf(t162,plain,
double_divide(identity,double_divide(double_divide(sF1,X1),identity)) = double_divide(a2,X1),
inference(cp,[status(thm)],[t104,t154]) ).
cnf(t199,plain,
double_divide(sF1,X1) = double_divide(a2,X1),
inference(step,[status(thm)],[t162,t92]) ).
cnf(t163,plain,
double_divide(a2,X1) = double_divide(sF1,X1),
inference(orient,[status(thm)],[t199]) ).
cnf(t170,plain,
a2 = double_divide(identity,double_divide(sF1,identity)),
inference(cp,[status(thm)],[t92,t163]) ).
cnf(t204,plain,
a2 = sF1,
inference(step,[status(thm)],[t170,t92]) ).
cnf(t171,plain,
a2 = sF1,
inference(orient,[status(thm)],[t204]) ).
cnf(t200,plain,
double_divide(sF1,identity) = sF0,
inference(step,[status(thm)],[t4,t163]) ).
cnf(t164,plain,
double_divide(sF1,identity) = sF0,
inference(rw,[status(thm)],[t200]) ).
cnf(t177,plain,
double_divide(sF1,identity) = sF0,
inference(orient,[status(thm)],[t164]) ).
cnf(u0,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(d0,axiom,
multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox2/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,t171]) ).
cnf(g0_1,plain,
double_divide(sF0,identity) != a2,
inference(rw,[status(thm)],[g0_0,t177]) ).
cnf(g0_2,plain,
sF1 != a2,
inference(rw,[status(thm)],[g0_1,t8]) ).
cnf(g0_3,plain,
sF1 != sF1,
inference(rw,[status(thm)],[g0_2,t171]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP485-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 14:54:35 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.30/0.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.30/0.79 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------