%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP493-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 0.14s 6.05s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of clauses : 48 ( 48 unt; 0 nHn; 26 RR)
% Number of literals : 48 ( 47 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
double_divide(double_divide(X1,X2),identity) = multiply(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t0,axiom,
double_divide(X1,identity) = inverse(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
double_divide(X1,identity) = inverse(X1),
inference(orient,[status(thm)],[t0]) ).
cnf(t167,plain,
inverse(double_divide(X1,X2)) = multiply(X2,X1),
inference(step,[status(thm)],[t2,t9]) ).
cnf(t12,plain,
inverse(double_divide(X1,X2)) = multiply(X2,X1),
inference(orient,[status(thm)],[t167]) ).
cnf(t1,axiom,
double_divide(X1,inverse(X1)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
double_divide(X1,inverse(X1)) = identity,
inference(orient,[status(thm)],[t1]) ).
cnf(t14,plain,
multiply(inverse(X1),X1) = inverse(identity),
inference(cp,[status(thm)],[t12,t11]) ).
cnf(t4,axiom,
sFlat0 = inverse(a1),
introduced(definition) ).
cnf(t16,plain,
inverse(a1) = sFlat0,
inference(orient,[status(thm)],[t4]) ).
cnf(t17,plain,
identity = double_divide(a1,sFlat0),
inference(cp,[status(thm)],[t11,t16]) ).
cnf(t19,plain,
double_divide(a1,sFlat0) = identity,
inference(orient,[status(thm)],[t17]) ).
cnf(t20,plain,
multiply(sFlat0,a1) = inverse(identity),
inference(cp,[status(thm)],[t12,t19]) ).
cnf(t5,axiom,
sFlat1 = multiply(inverse(a1),a1),
introduced(definition) ).
cnf(t168,plain,
sFlat1 = multiply(sFlat0,a1),
inference(step,[status(thm)],[t5,t16]) ).
cnf(t18,plain,
multiply(sFlat0,a1) = sFlat1,
inference(orient,[status(thm)],[t168]) ).
cnf(t169,plain,
sFlat1 = inverse(identity),
inference(step,[status(thm)],[t20,t18]) ).
cnf(t21,plain,
inverse(identity) = sFlat1,
inference(orient,[status(thm)],[t169]) ).
cnf(t171,plain,
multiply(inverse(X1),X1) = sFlat1,
inference(step,[status(thm)],[t14,t21]) ).
cnf(t34,plain,
multiply(inverse(X1),X1) = sFlat1,
inference(orient,[status(thm)],[t171]) ).
cnf(t3,axiom,
double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),double_divide(identity,identity)),double_divide(X1,X3))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),double_divide(identity,identity)),double_divide(X1,X3))) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t166,plain,
double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3))) = X2,
inference(step,[status(thm)],[t6,t9]) ).
cnf(t10,plain,
double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3))) = X2,
inference(rw,[status(thm)],[t166]) ).
cnf(t172,plain,
double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),sFlat1),double_divide(X1,X3))) = X2,
inference(step,[status(thm)],[t10,t21]) ).
cnf(t92,plain,
double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),sFlat1),double_divide(X1,X3))) = X2,
inference(orient,[status(thm)],[t172]) ).
cnf(t22,plain,
identity = double_divide(identity,sFlat1),
inference(cp,[status(thm)],[t11,t21]) ).
cnf(t23,plain,
double_divide(identity,sFlat1) = identity,
inference(orient,[status(thm)],[t22]) ).
cnf(t114,plain,
X1 = double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(X1,sFlat1),sFlat1),identity)),
inference(cp,[status(thm)],[t92,t23]) ).
cnf(t173,plain,
X1 = double_divide(inverse(identity),double_divide(double_divide(double_divide(X1,sFlat1),sFlat1),identity)),
inference(step,[status(thm)],[t114,t9]) ).
cnf(t174,plain,
X1 = double_divide(sFlat1,double_divide(double_divide(double_divide(X1,sFlat1),sFlat1),identity)),
inference(step,[status(thm)],[t173,t21]) ).
cnf(t175,plain,
X1 = double_divide(sFlat1,inverse(double_divide(double_divide(X1,sFlat1),sFlat1))),
inference(step,[status(thm)],[t174,t9]) ).
cnf(t176,plain,
X1 = double_divide(sFlat1,multiply(sFlat1,double_divide(X1,sFlat1))),
inference(step,[status(thm)],[t175,t12]) ).
cnf(t122,plain,
double_divide(sFlat1,multiply(sFlat1,double_divide(X1,sFlat1))) = X1,
inference(orient,[status(thm)],[t176]) ).
cnf(t123,plain,
identity = double_divide(sFlat1,multiply(sFlat1,identity)),
inference(cp,[status(thm)],[t122,t23]) ).
cnf(t24,plain,
multiply(sFlat1,identity) = inverse(identity),
inference(cp,[status(thm)],[t12,t23]) ).
cnf(t170,plain,
multiply(sFlat1,identity) = sFlat1,
inference(step,[status(thm)],[t24,t21]) ).
cnf(t25,plain,
multiply(sFlat1,identity) = sFlat1,
inference(orient,[status(thm)],[t170]) ).
cnf(t177,plain,
identity = double_divide(sFlat1,sFlat1),
inference(step,[status(thm)],[t123,t25]) ).
cnf(t130,plain,
double_divide(sFlat1,sFlat1) = identity,
inference(orient,[status(thm)],[t177]) ).
cnf(t135,plain,
sFlat1 = double_divide(sFlat1,multiply(sFlat1,identity)),
inference(cp,[status(thm)],[t122,t130]) ).
cnf(t178,plain,
sFlat1 = double_divide(sFlat1,sFlat1),
inference(step,[status(thm)],[t135,t25]) ).
cnf(t179,plain,
sFlat1 = identity,
inference(step,[status(thm)],[t178,t130]) ).
cnf(t138,plain,
identity = sFlat1,
inference(orient,[status(thm)],[t179]) ).
cnf(goal_0,negated_conjecture,
multiply(inverse(a1),a1) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
sFlat1 != identity,
inference(rw,[status(thm)],[goal_0,t34]) ).
cnf(g0_1,plain,
sFlat1 != sFlat1,
inference(rw,[status(thm)],[g0_0,t138]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP493-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.58 % Computer : n014.cluster.edu
% 0.11/5.58 % Model : x86_64 x86_64
% 0.11/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.58 % Memory : 8046.5625MB
% 0.11/5.58 % OS : Linux 6.8.0-71-generic
% 0.11/5.58 % CPULimit : 300
% 0.11/5.58 % WCLimit : 300
% 0.11/5.58 % DateTime : Wed Sep 23 14:53:55 UTC 2026
% 0.11/5.58 % CPUTime :
% 0.11/5.58 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/6.05 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/6.05 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------