%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP570-1 : 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 01:27:33 PM UTC 2026
% Result : Unsatisfiable 5.07s 6.15s
% Output : CNFRefutation 5.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of clauses : 47 ( 47 unt; 0 nHn; 34 RR)
% Number of literals : 47 ( 46 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 : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X3,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X3,identity))),double_divide(identity,identity)) = X2,
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(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(t16,plain,
X1 = double_divide(double_divide(a2,double_divide(double_divide(X1,identity),double_divide(sF0,identity))),double_divide(identity,identity)),
inference(cp,[status(thm)],[t11,t7]) ).
cnf(t3,axiom,
sF1 = double_divide(double_divide(a2,identity),identity),
introduced(definition) ).
cnf(t96,plain,
sF1 = double_divide(sF0,identity),
inference(step,[status(thm)],[t3,t4]) ).
cnf(t8,plain,
double_divide(sF0,identity) = sF1,
inference(orient,[status(thm)],[t96]) ).
cnf(t108,plain,
X1 = double_divide(double_divide(a2,double_divide(double_divide(X1,identity),sF1)),double_divide(identity,identity)),
inference(step,[status(thm)],[t16,t8]) ).
cnf(t64,plain,
double_divide(double_divide(a2,double_divide(double_divide(X1,identity),sF1)),double_divide(identity,identity)) = X1,
inference(orient,[status(thm)],[t108]) ).
cnf(t65,plain,
sF0 = double_divide(double_divide(a2,double_divide(sF1,sF1)),double_divide(identity,identity)),
inference(cp,[status(thm)],[t64,t8]) ).
cnf(t71,plain,
double_divide(double_divide(a2,double_divide(sF1,sF1)),double_divide(identity,identity)) = sF0,
inference(orient,[status(thm)],[t65]) ).
cnf(t72,plain,
double_divide(a2,double_divide(sF1,sF1)) = double_divide(double_divide(identity,double_divide(sF0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(cp,[status(thm)],[t11,t71]) ).
cnf(t14,plain,
X1 = double_divide(double_divide(X1,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)),
inference(cp,[status(thm)],[t11,t5]) ).
cnf(t97,plain,
X1 = double_divide(double_divide(X1,identity),double_divide(identity,identity)),
inference(step,[status(thm)],[t14,t5]) ).
cnf(t22,plain,
double_divide(double_divide(X1,identity),double_divide(identity,identity)) = X1,
inference(orient,[status(thm)],[t97]) ).
cnf(t23,plain,
a2 = double_divide(sF0,double_divide(identity,identity)),
inference(cp,[status(thm)],[t22,t4]) ).
cnf(t27,plain,
double_divide(sF0,double_divide(identity,identity)) = a2,
inference(orient,[status(thm)],[t23]) ).
cnf(t109,plain,
double_divide(a2,double_divide(sF1,sF1)) = double_divide(double_divide(identity,a2),double_divide(identity,identity)),
inference(step,[status(thm)],[t72,t27]) ).
cnf(t24,plain,
sF0 = double_divide(sF1,double_divide(identity,identity)),
inference(cp,[status(thm)],[t22,t8]) ).
cnf(t30,plain,
double_divide(sF1,double_divide(identity,identity)) = sF0,
inference(orient,[status(thm)],[t24]) ).
cnf(t31,plain,
sF1 = double_divide(double_divide(identity,double_divide(sF0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(cp,[status(thm)],[t11,t30]) ).
cnf(t98,plain,
sF1 = double_divide(double_divide(identity,a2),double_divide(identity,identity)),
inference(step,[status(thm)],[t31,t27]) ).
cnf(t33,plain,
double_divide(double_divide(identity,a2),double_divide(identity,identity)) = sF1,
inference(orient,[status(thm)],[t98]) ).
cnf(t110,plain,
double_divide(a2,double_divide(sF1,sF1)) = sF1,
inference(step,[status(thm)],[t109,t33]) ).
cnf(t74,plain,
double_divide(a2,double_divide(sF1,sF1)) = sF1,
inference(orient,[status(thm)],[t110]) ).
cnf(t76,plain,
a2 = double_divide(double_divide(sF1,double_divide(sF1,double_divide(sF1,identity))),double_divide(identity,identity)),
inference(cp,[status(thm)],[t11,t74]) ).
cnf(t111,plain,
a2 = double_divide(double_divide(sF1,identity),double_divide(identity,identity)),
inference(step,[status(thm)],[t76,t5]) ).
cnf(t112,plain,
a2 = sF1,
inference(step,[status(thm)],[t111,t22]) ).
cnf(t78,plain,
a2 = sF1,
inference(orient,[status(thm)],[t112]) ).
cnf(t113,plain,
double_divide(sF1,identity) = sF0,
inference(step,[status(thm)],[t4,t78]) ).
cnf(t79,plain,
double_divide(sF1,identity) = sF0,
inference(rw,[status(thm)],[t113]) ).
cnf(t95,plain,
double_divide(sF1,identity) = sF0,
inference(orient,[status(thm)],[t79]) ).
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,t78]) ).
cnf(g0_1,plain,
double_divide(sF0,identity) != a2,
inference(rw,[status(thm)],[g0_0,t95]) ).
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,t78]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP570-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.38 % Computer : n014.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Wed Sep 23 15:06:23 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.07/6.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.07/6.15 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------