%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP565-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 01:27:33 PM UTC 2026
% Result : Unsatisfiable 5.92s 1.26s
% Output : CNFRefutation 5.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 7 RR)
% Number of literals : 32 ( 31 equ; 2 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
double_divide(double_divide(X1,X2),identity) = multiply(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t0,axiom,
double_divide(X1,identity) = inverse(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
double_divide(X1,identity) = inverse(X1),
inference(orient,[status(thm)],[t0]) ).
cnf(t245,plain,
inverse(double_divide(X1,X2)) = multiply(X2,X1),
inference(step,[status(thm)],[t2,t7]) ).
cnf(t10,plain,
inverse(double_divide(X1,X2)) = multiply(X2,X1),
inference(orient,[status(thm)],[t245]) ).
cnf(t1,axiom,
double_divide(X1,inverse(X1)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t9,plain,
double_divide(X1,inverse(X1)) = identity,
inference(orient,[status(thm)],[t1]) ).
cnf(t12,plain,
multiply(inverse(X1),X1) = inverse(identity),
inference(cp,[status(thm)],[t10,t9]) ).
cnf(t18,plain,
multiply(inverse(X1),X1) = inverse(identity),
inference(orient,[status(thm)],[t12]) ).
cnf(t3,axiom,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,plain,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),double_divide(identity,identity)) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t244,plain,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),inverse(identity)) = X2,
inference(step,[status(thm)],[t4,t7]) ).
cnf(t8,plain,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),inverse(identity)) = X2,
inference(rw,[status(thm)],[t244]) ).
cnf(t69,plain,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),inverse(identity)) = X2,
inference(orient,[status(thm)],[t8]) ).
cnf(t70,plain,
X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,inverse(X2)),double_divide(identity,identity))),inverse(identity)),
inference(cp,[status(thm)],[t69,t7]) ).
cnf(t249,plain,
X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,inverse(X2)),inverse(identity))),inverse(identity)),
inference(step,[status(thm)],[t70,t7]) ).
cnf(t116,plain,
double_divide(double_divide(X1,double_divide(double_divide(X2,inverse(X1)),inverse(identity))),inverse(identity)) = X2,
inference(orient,[status(thm)],[t249]) ).
cnf(t118,plain,
X1 = double_divide(double_divide(X1,double_divide(identity,inverse(identity))),inverse(identity)),
inference(cp,[status(thm)],[t116,t9]) ).
cnf(t250,plain,
X1 = double_divide(double_divide(X1,identity),inverse(identity)),
inference(step,[status(thm)],[t118,t9]) ).
cnf(t251,plain,
X1 = double_divide(inverse(X1),inverse(identity)),
inference(step,[status(thm)],[t250,t7]) ).
cnf(t134,plain,
double_divide(inverse(X1),inverse(identity)) = X1,
inference(orient,[status(thm)],[t251]) ).
cnf(t143,plain,
inverse(X1) = double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)),
inference(cp,[status(thm)],[t116,t134]) ).
cnf(t187,plain,
double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)) = inverse(X1),
inference(orient,[status(thm)],[t143]) ).
cnf(t189,plain,
inverse(identity) = double_divide(double_divide(identity,identity),inverse(identity)),
inference(cp,[status(thm)],[t187,t9]) ).
cnf(t256,plain,
inverse(identity) = double_divide(inverse(identity),inverse(identity)),
inference(step,[status(thm)],[t189,t7]) ).
cnf(t257,plain,
inverse(identity) = identity,
inference(step,[status(thm)],[t256,t134]) ).
cnf(t207,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t257]) ).
cnf(t258,plain,
multiply(inverse(X1),X1) = identity,
inference(step,[status(thm)],[t18,t207]) ).
cnf(t208,plain,
multiply(inverse(X1),X1) = identity,
inference(orient,[status(thm)],[t258]) ).
cnf(goal_0,negated_conjecture,
multiply(inverse(a1),a1) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
identity != identity,
inference(rw,[status(thm)],[goal_0,t208]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP565-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 15:05:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.92/1.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.92/1.26 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------