%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP487-1 : 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 01:27:10 PM UTC 2026
% Result : Unsatisfiable 5.31s 1.08s
% Output : CNFRefutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 8
% Syntax : Number of clauses : 60 ( 60 unt; 0 nHn; 35 RR)
% Number of literals : 60 ( 59 equ; 7 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
sF1 = double_divide(a1,double_divide(a1,identity)),
introduced(definition) ).
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(t6,plain,
double_divide(X1,double_divide(X1,identity)) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t227,plain,
sF1 = identity,
inference(step,[status(thm)],[t3,t6]) ).
cnf(t9,plain,
identity = sF1,
inference(orient,[status(thm)],[t227]) ).
cnf(t11,plain,
double_divide(X1,double_divide(X1,sF1)) = identity,
inference(rw,[status(thm)],[t6]) ).
cnf(t231,plain,
double_divide(X1,double_divide(X1,sF1)) = sF1,
inference(step,[status(thm)],[t11,t9]) ).
cnf(t15,plain,
double_divide(X1,double_divide(X1,sF1)) = sF1,
inference(orient,[status(thm)],[t231]) ).
cnf(t4,axiom,
sF2 = double_divide(double_divide(a1,double_divide(a1,identity)),identity),
introduced(definition) ).
cnf(t232,plain,
sF2 = double_divide(double_divide(a1,double_divide(a1,sF1)),identity),
inference(step,[status(thm)],[t4,t9]) ).
cnf(t233,plain,
sF2 = double_divide(sF1,identity),
inference(step,[status(thm)],[t232,t15]) ).
cnf(t234,plain,
sF2 = double_divide(sF1,sF1),
inference(step,[status(thm)],[t233,t9]) ).
cnf(t16,plain,
double_divide(sF1,sF1) = sF2,
inference(orient,[status(thm)],[t234]) ).
cnf(t1,axiom,
double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,X3))),X2),identity)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t235,plain,
double_divide(X1,double_divide(double_divide(double_divide(sF1,double_divide(double_divide(X1,identity),double_divide(X2,X3))),X2),identity)) = X3,
inference(step,[status(thm)],[t1,t9]) ).
cnf(t236,plain,
double_divide(X1,double_divide(double_divide(double_divide(sF1,double_divide(double_divide(X1,sF1),double_divide(X2,X3))),X2),identity)) = X3,
inference(step,[status(thm)],[t235,t9]) ).
cnf(t237,plain,
double_divide(X1,double_divide(double_divide(double_divide(sF1,double_divide(double_divide(X1,sF1),double_divide(X2,X3))),X2),sF1)) = X3,
inference(step,[status(thm)],[t236,t9]) ).
cnf(t19,plain,
double_divide(X1,double_divide(double_divide(double_divide(sF1,double_divide(double_divide(X1,sF1),double_divide(X2,X3))),X2),sF1)) = X3,
inference(orient,[status(thm)],[t237]) ).
cnf(t25,plain,
X1 = double_divide(sF1,double_divide(double_divide(double_divide(sF1,double_divide(sF2,double_divide(X2,X1))),X2),sF1)),
inference(cp,[status(thm)],[t19,t16]) ).
cnf(t184,plain,
double_divide(sF1,double_divide(double_divide(double_divide(sF1,double_divide(sF2,double_divide(X1,X2))),X1),sF1)) = X2,
inference(orient,[status(thm)],[t25]) ).
cnf(t17,plain,
sF1 = double_divide(sF1,sF2),
inference(cp,[status(thm)],[t15,t16]) ).
cnf(t18,plain,
double_divide(sF1,sF2) = sF1,
inference(orient,[status(thm)],[t17]) ).
cnf(t187,plain,
sF2 = double_divide(sF1,double_divide(double_divide(double_divide(sF1,double_divide(sF2,sF1)),sF1),sF1)),
inference(cp,[status(thm)],[t184,t18]) ).
cnf(t2,axiom,
sF0 = double_divide(a1,identity),
introduced(definition) ).
cnf(t5,plain,
double_divide(a1,identity) = sF0,
inference(orient,[status(thm)],[t2]) ).
cnf(t228,plain,
double_divide(a1,sF1) = sF0,
inference(step,[status(thm)],[t5,t9]) ).
cnf(t10,plain,
double_divide(a1,sF1) = sF0,
inference(rw,[status(thm)],[t228]) ).
cnf(t14,plain,
double_divide(a1,sF1) = sF0,
inference(orient,[status(thm)],[t10]) ).
cnf(t21,plain,
X1 = double_divide(a1,double_divide(double_divide(double_divide(sF1,double_divide(sF0,double_divide(X2,X1))),X2),sF1)),
inference(cp,[status(thm)],[t19,t14]) ).
cnf(t60,plain,
double_divide(a1,double_divide(double_divide(double_divide(sF1,double_divide(sF0,double_divide(X1,X2))),X1),sF1)) = X2,
inference(orient,[status(thm)],[t21]) ).
cnf(t23,plain,
sF1 = double_divide(X1,double_divide(double_divide(double_divide(sF1,sF1),double_divide(X1,sF1)),sF1)),
inference(cp,[status(thm)],[t19,t15]) ).
cnf(t238,plain,
sF1 = double_divide(X1,double_divide(double_divide(sF2,double_divide(X1,sF1)),sF1)),
inference(step,[status(thm)],[t23,t16]) ).
cnf(t30,plain,
double_divide(X1,double_divide(double_divide(sF2,double_divide(X1,sF1)),sF1)) = sF1,
inference(orient,[status(thm)],[t238]) ).
cnf(t68,plain,
double_divide(double_divide(sF2,double_divide(X1,sF1)),sF1) = double_divide(a1,double_divide(double_divide(double_divide(sF1,double_divide(sF0,sF1)),X1),sF1)),
inference(cp,[status(thm)],[t60,t30]) ).
cnf(t62,plain,
double_divide(X1,sF1) = double_divide(a1,double_divide(double_divide(double_divide(sF1,double_divide(sF0,sF1)),X1),sF1)),
inference(cp,[status(thm)],[t60,t15]) ).
cnf(t98,plain,
double_divide(a1,double_divide(double_divide(double_divide(sF1,double_divide(sF0,sF1)),X1),sF1)) = double_divide(X1,sF1),
inference(orient,[status(thm)],[t62]) ).
cnf(t248,plain,
double_divide(double_divide(sF2,double_divide(X1,sF1)),sF1) = double_divide(X1,sF1),
inference(step,[status(thm)],[t68,t98]) ).
cnf(t164,plain,
double_divide(double_divide(sF2,double_divide(X1,sF1)),sF1) = double_divide(X1,sF1),
inference(orient,[status(thm)],[t248]) ).
cnf(t166,plain,
double_divide(sF2,sF1) = double_divide(sF1,sF1),
inference(cp,[status(thm)],[t164,t15]) ).
cnf(t249,plain,
double_divide(sF2,sF1) = sF2,
inference(step,[status(thm)],[t166,t16]) ).
cnf(t177,plain,
double_divide(sF2,sF1) = sF2,
inference(orient,[status(thm)],[t249]) ).
cnf(t250,plain,
sF2 = double_divide(sF1,double_divide(double_divide(double_divide(sF1,sF2),sF1),sF1)),
inference(step,[status(thm)],[t187,t177]) ).
cnf(t251,plain,
sF2 = double_divide(sF1,double_divide(double_divide(sF1,sF1),sF1)),
inference(step,[status(thm)],[t250,t18]) ).
cnf(t252,plain,
sF2 = double_divide(sF1,double_divide(sF2,sF1)),
inference(step,[status(thm)],[t251,t16]) ).
cnf(t253,plain,
sF2 = double_divide(sF1,sF2),
inference(step,[status(thm)],[t252,t177]) ).
cnf(t254,plain,
sF2 = sF1,
inference(step,[status(thm)],[t253,t18]) ).
cnf(t210,plain,
sF2 = sF1,
inference(orient,[status(thm)],[t254]) ).
cnf(t255,plain,
double_divide(sF1,sF1) = sF1,
inference(step,[status(thm)],[t16,t210]) ).
cnf(t211,plain,
double_divide(sF1,sF1) = sF1,
inference(orient,[status(thm)],[t255]) ).
cnf(u0,negated_conjecture,
multiply(inverse(a1),a1) != identity,
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(a1,double_divide(a1,identity)),identity) != identity,
inference(definition_unfolding,[status(thm)],[u0,d0,d1]) ).
cnf(g0_0,plain,
double_divide(double_divide(a1,double_divide(a1,sF1)),identity) != identity,
inference(rw,[status(thm)],[goal_0,t9]) ).
cnf(g0_1,plain,
double_divide(sF1,identity) != identity,
inference(rw,[status(thm)],[g0_0,t15]) ).
cnf(g0_2,plain,
double_divide(sF1,sF1) != identity,
inference(rw,[status(thm)],[g0_1,t9]) ).
cnf(g0_3,plain,
sF1 != identity,
inference(rw,[status(thm)],[g0_2,t211]) ).
cnf(g0_4,plain,
sF1 != sF1,
inference(rw,[status(thm)],[g0_3,t9]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP487-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 14:54:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.31/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.31/1.08 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------