%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP482-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 5.13s 1.07s
% Output : CNFRefutation 5.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 7 RR)
% Number of literals : 26 ( 25 equ; 4 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(double_divide(X3,double_divide(X4,double_divide(X4,identity))),double_divide(X1,identity))),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(t93,plain,
double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(double_divide(X3,identity),double_divide(X1,identity))),X2) = X3,
inference(step,[status(thm)],[t1,t5]) ).
cnf(t11,plain,
double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(double_divide(X3,identity),double_divide(X1,identity))),X2) = X3,
inference(orient,[status(thm)],[t93]) ).
cnf(t15,plain,
X1 = double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,identity))),X2),
inference(cp,[status(thm)],[t11,t5]) ).
cnf(t25,plain,
double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,identity))),X2) = X1,
inference(orient,[status(thm)],[t15]) ).
cnf(t28,plain,
X1 = double_divide(double_divide(identity,identity),double_divide(X1,identity)),
inference(cp,[status(thm)],[t25,t5]) ).
cnf(t40,plain,
double_divide(double_divide(identity,identity),double_divide(X1,identity)) = X1,
inference(orient,[status(thm)],[t28]) ).
cnf(t42,plain,
double_divide(identity,identity) = identity,
inference(cp,[status(thm)],[t40,t5]) ).
cnf(t49,plain,
double_divide(identity,identity) = identity,
inference(orient,[status(thm)],[t42]) ).
cnf(t94,plain,
double_divide(identity,double_divide(X1,identity)) = X1,
inference(step,[status(thm)],[t40,t49]) ).
cnf(t50,plain,
double_divide(identity,double_divide(X1,identity)) = X1,
inference(rw,[status(thm)],[t94]) ).
cnf(t56,plain,
double_divide(identity,double_divide(X1,identity)) = X1,
inference(orient,[status(thm)],[t50]) ).
cnf(t60,plain,
double_divide(identity,double_divide(double_divide(X1,identity),double_divide(identity,identity))) = double_divide(identity,X1),
inference(cp,[status(thm)],[t56,t25]) ).
cnf(t95,plain,
double_divide(identity,double_divide(double_divide(X1,identity),identity)) = double_divide(identity,X1),
inference(step,[status(thm)],[t60,t49]) ).
cnf(t96,plain,
double_divide(X1,identity) = double_divide(identity,X1),
inference(step,[status(thm)],[t95,t56]) ).
cnf(t77,plain,
double_divide(X1,identity) = double_divide(identity,X1),
inference(orient,[status(thm)],[t96]) ).
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(identity,double_divide(a2,identity)) != a2,
inference(rw,[status(thm)],[goal_0,t77]) ).
cnf(g0_1,plain,
a2 != a2,
inference(rw,[status(thm)],[g0_0,t56]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP482-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 14:58:19 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.13/1.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.13/1.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------