%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP075-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 01:25:07 PM UTC 2026
% Result : Unsatisfiable 3.85s 1.90s
% Output : Proof 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 5
% Syntax : Number of formulae : 121 ( 117 unt; 0 def)
% Number of atoms : 129 ( 128 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 28 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 217 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,axiom,
double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f0_nnf,plain,
! [X,Y,Z,U] : double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) = Z,
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y,Z,U] : double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) = Z,
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1) = X2,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t2,plain,
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,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t4,plain,
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,
inference(orient,[status(thm)],[t2]) ).
cnf(f3,axiom,
identity = double_divide(X,inverse(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f3_nnf,plain,
! [X] : identity = double_divide(X,inverse(X)),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] : identity = double_divide(X,inverse(X)),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(u1,axiom,
identity = double_divide(X0,inverse(X0)),
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(f2,axiom,
inverse(X) = double_divide(X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f2_nnf,plain,
! [X] : inverse(X) = double_divide(X,identity),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] : inverse(X) = double_divide(X,identity),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(d1,axiom,
inverse(X0) = double_divide(X0,identity),
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t0,plain,
double_divide(X1,double_divide(X1,identity)) = identity,
inference(definition_unfolding,[status(thm)],[u1,d1]) ).
cnf(t12,plain,
double_divide(X1,double_divide(X1,identity)) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t3036,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)],[t4,t12]) ).
cnf(t13,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(rw,[status(thm)],[t3036]) ).
cnf(t15,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)],[t13]) ).
cnf(t16,plain,
X1 = double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,identity))),X2),
inference(cp,[status(thm)],[t15,t12]) ).
cnf(t23,plain,
double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,identity))),X2) = X1,
inference(orient,[status(thm)],[t16]) ).
cnf(t24,plain,
X1 = double_divide(double_divide(identity,identity),double_divide(X1,identity)),
inference(cp,[status(thm)],[t23,t12]) ).
cnf(t34,plain,
double_divide(double_divide(identity,identity),double_divide(X1,identity)) = X1,
inference(orient,[status(thm)],[t24]) ).
cnf(t35,plain,
double_divide(identity,identity) = identity,
inference(cp,[status(thm)],[t34,t12]) ).
cnf(t41,plain,
double_divide(identity,identity) = identity,
inference(orient,[status(thm)],[t35]) ).
cnf(t3038,plain,
double_divide(identity,double_divide(X1,identity)) = X1,
inference(step,[status(thm)],[t34,t41]) ).
cnf(t47,plain,
double_divide(identity,double_divide(X1,identity)) = X1,
inference(rw,[status(thm)],[t3038]) ).
cnf(t49,plain,
double_divide(identity,double_divide(X1,identity)) = X1,
inference(orient,[status(thm)],[t47]) ).
cnf(t51,plain,
double_divide(identity,double_divide(double_divide(X1,identity),double_divide(identity,identity))) = double_divide(identity,X1),
inference(cp,[status(thm)],[t49,t23]) ).
cnf(t3041,plain,
double_divide(identity,double_divide(double_divide(X1,identity),identity)) = double_divide(identity,X1),
inference(step,[status(thm)],[t51,t41]) ).
cnf(t3042,plain,
double_divide(X1,identity) = double_divide(identity,X1),
inference(step,[status(thm)],[t3041,t49]) ).
cnf(t53,plain,
double_divide(X1,identity) = double_divide(identity,X1),
inference(orient,[status(thm)],[t3042]) ).
cnf(t52,plain,
X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,identity),double_divide(identity,identity))),X2),
inference(cp,[status(thm)],[t15,t49]) ).
cnf(t3043,plain,
X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,identity),identity)),X2),
inference(step,[status(thm)],[t52,t41]) ).
cnf(t3044,plain,
X1 = double_divide(double_divide(X2,double_divide(identity,double_divide(X1,identity))),X2),
inference(step,[status(thm)],[t3043,t53]) ).
cnf(t3045,plain,
X1 = double_divide(double_divide(X2,X1),X2),
inference(step,[status(thm)],[t3044,t49]) ).
cnf(t82,plain,
double_divide(double_divide(X1,X2),X1) = X2,
inference(orient,[status(thm)],[t3045]) ).
cnf(t89,plain,
X1 = double_divide(X2,double_divide(X1,X2)),
inference(cp,[status(thm)],[t82,t82]) ).
cnf(t98,plain,
double_divide(X1,double_divide(X2,X1)) = X2,
inference(orient,[status(thm)],[t89]) ).
cnf(t1,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t11,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t55,plain,
identity = double_divide(X1,double_divide(identity,X1)),
inference(cp,[status(thm)],[t12,t53]) ).
cnf(t62,plain,
double_divide(X1,double_divide(identity,X1)) = identity,
inference(orient,[status(thm)],[t55]) ).
cnf(t63,plain,
identity = double_divide(double_divide(X1,identity),X1),
inference(cp,[status(thm)],[t62,t49]) ).
cnf(t67,plain,
double_divide(double_divide(X1,identity),X1) = identity,
inference(orient,[status(thm)],[t63]) ).
cnf(t72,plain,
double_divide(X1,identity) = double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),identity),X2),
inference(cp,[status(thm)],[t15,t67]) ).
cnf(t3046,plain,
double_divide(X1,identity) = double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),X2),
inference(step,[status(thm)],[t72,t53]) ).
cnf(t105,plain,
double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),X2) = double_divide(X1,identity),
inference(orient,[status(thm)],[t3046]) ).
cnf(t107,plain,
double_divide(double_divide(double_divide(X1,identity),X2),identity) = double_divide(double_divide(identity,X2),X1),
inference(cp,[status(thm)],[t105,t82]) ).
cnf(t3048,plain,
double_divide(identity,double_divide(double_divide(X1,identity),X2)) = double_divide(double_divide(identity,X2),X1),
inference(step,[status(thm)],[t107,t53]) ).
cnf(t118,plain,
double_divide(identity,double_divide(double_divide(X1,identity),X2)) = double_divide(double_divide(identity,X2),X1),
inference(orient,[status(thm)],[t3048]) ).
cnf(t124,plain,
double_divide(double_divide(identity,X1),X2) = double_divide(identity,double_divide(double_divide(identity,X2),X1)),
inference(cp,[status(thm)],[t118,t53]) ).
cnf(t164,plain,
double_divide(identity,double_divide(double_divide(identity,X1),X2)) = double_divide(double_divide(identity,X2),X1),
inference(orient,[status(thm)],[t124]) ).
cnf(t113,plain,
double_divide(identity,double_divide(X1,double_divide(X2,identity))) = double_divide(X2,double_divide(X1,identity)),
inference(cp,[status(thm)],[t98,t105]) ).
cnf(t131,plain,
double_divide(identity,double_divide(X1,double_divide(X2,identity))) = double_divide(X2,double_divide(X1,identity)),
inference(orient,[status(thm)],[t113]) ).
cnf(t139,plain,
double_divide(X1,double_divide(X2,identity)) = double_divide(identity,double_divide(X2,double_divide(identity,X1))),
inference(cp,[status(thm)],[t131,t53]) ).
cnf(t186,plain,
double_divide(identity,double_divide(X1,double_divide(identity,X2))) = double_divide(X2,double_divide(X1,identity)),
inference(orient,[status(thm)],[t139]) ).
cnf(t167,plain,
double_divide(double_divide(identity,X1),double_divide(double_divide(X2,identity),X3)) = double_divide(identity,double_divide(double_divide(double_divide(identity,X3),X2),X1)),
inference(cp,[status(thm)],[t164,t118]) ).
cnf(t429,plain,
double_divide(double_divide(identity,X1),double_divide(double_divide(X2,identity),X3)) = double_divide(identity,double_divide(double_divide(double_divide(identity,X3),X2),X1)),
inference(orient,[status(thm)],[t167]) ).
cnf(t138,plain,
double_divide(double_divide(double_divide(X1,double_divide(identity,identity)),double_divide(double_divide(X2,identity),double_divide(X1,identity))),double_divide(X3,identity)) = double_divide(identity,double_divide(X3,X2)),
inference(cp,[status(thm)],[t131,t15]) ).
cnf(t3051,plain,
double_divide(double_divide(double_divide(X1,identity),double_divide(double_divide(X2,identity),double_divide(X1,identity))),double_divide(X3,identity)) = double_divide(identity,double_divide(X3,X2)),
inference(step,[status(thm)],[t138,t41]) ).
cnf(t3052,plain,
double_divide(double_divide(X2,identity),double_divide(X3,identity)) = double_divide(identity,double_divide(X3,X2)),
inference(step,[status(thm)],[t3051,t98]) ).
cnf(t176,plain,
double_divide(double_divide(X1,identity),double_divide(X2,identity)) = double_divide(identity,double_divide(X2,X1)),
inference(orient,[status(thm)],[t3052]) ).
cnf(t3053,plain,
double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(identity,double_divide(X1,X3))),X2) = X3,
inference(step,[status(thm)],[t15,t176]) ).
cnf(t185,plain,
double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(identity,double_divide(X1,X3))),X2) = X3,
inference(rw,[status(thm)],[t3053]) ).
cnf(t122,plain,
double_divide(double_divide(identity,X1),double_divide(identity,X2)) = double_divide(identity,double_divide(X2,X1)),
inference(cp,[status(thm)],[t118,t82]) ).
cnf(t143,plain,
double_divide(double_divide(identity,X1),double_divide(identity,X2)) = double_divide(identity,double_divide(X2,X1)),
inference(orient,[status(thm)],[t122]) ).
cnf(t144,plain,
double_divide(identity,double_divide(X1,double_divide(X2,double_divide(X3,identity)))) = double_divide(double_divide(X3,double_divide(X2,identity)),double_divide(identity,X1)),
inference(cp,[status(thm)],[t143,t131]) ).
cnf(t293,plain,
double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(identity,X3)) = double_divide(identity,double_divide(X3,double_divide(X2,double_divide(X1,identity)))),
inference(orient,[status(thm)],[t144]) ).
cnf(t3054,plain,
double_divide(double_divide(identity,double_divide(double_divide(X1,X3),double_divide(X2,double_divide(X1,identity)))),X2) = X3,
inference(step,[status(thm)],[t185,t293]) ).
cnf(t451,plain,
double_divide(double_divide(identity,double_divide(double_divide(X1,X2),double_divide(X3,double_divide(X1,identity)))),X3) = X2,
inference(orient,[status(thm)],[t3054]) ).
cnf(t521,plain,
double_divide(double_divide(X1,X2),double_divide(double_divide(X3,double_divide(identity,identity)),double_divide(X1,identity))) = double_divide(double_divide(identity,X2),X3),
inference(cp,[status(thm)],[t451,t451]) ).
cnf(t123,plain,
double_divide(double_divide(identity,X1),double_divide(double_divide(X2,double_divide(identity,identity)),double_divide(double_divide(X3,identity),double_divide(X2,identity)))) = double_divide(identity,double_divide(X3,X1)),
inference(cp,[status(thm)],[t118,t15]) ).
cnf(t3049,plain,
double_divide(double_divide(identity,X1),double_divide(double_divide(X2,identity),double_divide(double_divide(X3,identity),double_divide(X2,identity)))) = double_divide(identity,double_divide(X3,X1)),
inference(step,[status(thm)],[t123,t41]) ).
cnf(t3050,plain,
double_divide(double_divide(identity,X1),double_divide(X3,identity)) = double_divide(identity,double_divide(X3,X1)),
inference(step,[status(thm)],[t3049,t98]) ).
cnf(t155,plain,
double_divide(double_divide(identity,X1),double_divide(X2,identity)) = double_divide(identity,double_divide(X2,X1)),
inference(orient,[status(thm)],[t3050]) ).
cnf(t156,plain,
double_divide(identity,double_divide(X1,double_divide(X2,double_divide(X3,identity)))) = double_divide(double_divide(X3,double_divide(X2,identity)),double_divide(X1,identity)),
inference(cp,[status(thm)],[t155,t131]) ).
cnf(t388,plain,
double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(X3,identity)) = double_divide(identity,double_divide(X3,double_divide(X2,double_divide(X1,identity)))),
inference(orient,[status(thm)],[t156]) ).
cnf(t3057,plain,
double_divide(double_divide(X1,X2),double_divide(identity,double_divide(X1,double_divide(identity,double_divide(X3,identity))))) = double_divide(double_divide(identity,X2),X3),
inference(step,[status(thm)],[t521,t388]) ).
cnf(t3058,plain,
double_divide(double_divide(X1,X2),double_divide(double_divide(X3,identity),double_divide(X1,identity))) = double_divide(double_divide(identity,X2),X3),
inference(step,[status(thm)],[t3057,t186]) ).
cnf(t3059,plain,
double_divide(double_divide(X1,X2),double_divide(identity,double_divide(X1,X3))) = double_divide(double_divide(identity,X2),X3),
inference(step,[status(thm)],[t3058,t176]) ).
cnf(t554,plain,
double_divide(double_divide(X1,X2),double_divide(identity,double_divide(X1,X3))) = double_divide(double_divide(identity,X2),X3),
inference(orient,[status(thm)],[t3059]) ).
cnf(t557,plain,
double_divide(double_divide(identity,double_divide(X1,X2)),X3) = double_divide(X1,double_divide(identity,double_divide(X2,X3))),
inference(cp,[status(thm)],[t554,t98]) ).
cnf(t618,plain,
double_divide(double_divide(identity,double_divide(X1,X2)),X3) = double_divide(X1,double_divide(identity,double_divide(X2,X3))),
inference(orient,[status(thm)],[t557]) ).
cnf(t628,plain,
double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X2,X3))) = double_divide(double_divide(double_divide(identity,X2),X1),X3),
inference(cp,[status(thm)],[t618,t118]) ).
cnf(t148,plain,
double_divide(identity,double_divide(X1,X2)) = double_divide(double_divide(X2,identity),double_divide(identity,X1)),
inference(cp,[status(thm)],[t143,t53]) ).
cnf(t203,plain,
double_divide(double_divide(X1,identity),double_divide(identity,X2)) = double_divide(identity,double_divide(X2,X1)),
inference(orient,[status(thm)],[t148]) ).
cnf(t3069,plain,
double_divide(identity,double_divide(double_divide(X2,X3),X1)) = double_divide(double_divide(double_divide(identity,X2),X1),X3),
inference(step,[status(thm)],[t628,t203]) ).
cnf(t737,plain,
double_divide(double_divide(double_divide(identity,X1),X2),X3) = double_divide(identity,double_divide(double_divide(X1,X3),X2)),
inference(orient,[status(thm)],[t3069]) ).
cnf(t3070,plain,
double_divide(double_divide(identity,X1),double_divide(double_divide(X2,identity),X3)) = double_divide(identity,double_divide(identity,double_divide(double_divide(X3,X1),X2))),
inference(step,[status(thm)],[t429,t737]) ).
cnf(t56,plain,
X1 = double_divide(identity,double_divide(identity,X1)),
inference(cp,[status(thm)],[t49,t53]) ).
cnf(t64,plain,
double_divide(identity,double_divide(identity,X1)) = X1,
inference(orient,[status(thm)],[t56]) ).
cnf(t3071,plain,
double_divide(double_divide(identity,X1),double_divide(double_divide(X2,identity),X3)) = double_divide(double_divide(X3,X1),X2),
inference(step,[status(thm)],[t3070,t64]) ).
cnf(t738,plain,
double_divide(double_divide(identity,X1),double_divide(double_divide(X2,identity),X3)) = double_divide(double_divide(X3,X1),X2),
inference(orient,[status(thm)],[t3071]) ).
cnf(t767,plain,
double_divide(double_divide(X1,X2),double_divide(identity,X3)) = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(double_divide(X3,X1),identity))),
inference(cp,[status(thm)],[t738,t737]) ).
cnf(t3138,plain,
double_divide(double_divide(X1,X2),double_divide(identity,X3)) = double_divide(identity,double_divide(double_divide(double_divide(X3,X1),identity),X2)),
inference(step,[status(thm)],[t767,t143]) ).
cnf(t3139,plain,
double_divide(double_divide(X1,X2),double_divide(identity,X3)) = double_divide(double_divide(identity,X2),double_divide(X3,X1)),
inference(step,[status(thm)],[t3138,t118]) ).
cnf(t2924,plain,
double_divide(double_divide(X1,X2),double_divide(identity,X3)) = double_divide(double_divide(identity,X2),double_divide(X3,X1)),
inference(orient,[status(thm)],[t3139]) ).
cnf(f4,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f4_nnf,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(g0_0,plain,
true != ifeq(double_divide(identity,identity),identity,ifeq(double_divide(double_divide(a2,identity),identity),a2,ifeq(double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),false,true),true),true),
inference(rw,[status(thm)],[goal_0]) ).
cnf(g0_1,plain,
true != ifeq(double_divide(identity,identity),double_divide(identity,identity),ifeq(double_divide(double_divide(a2,identity),identity),a2,ifeq(double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),false,true),true),true),
inference(rw,[status(thm)],[g0_0,t41]) ).
cnf(g0_2,plain,
true != ifeq(double_divide(identity,identity),double_divide(identity,identity),ifeq(double_divide(double_divide(a2,identity),identity),a2,ifeq(double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),double_divide(double_divide(double_divide(identity,double_divide(c3,b3)),a3),identity),false,true),true),true),
inference(rw,[status(thm)],[g0_1,t53]) ).
cnf(g0_3,plain,
true != ifeq(double_divide(identity,identity),double_divide(identity,identity),ifeq(double_divide(double_divide(a2,identity),identity),a2,ifeq(double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)),false,true),true),true),
inference(rw,[status(thm)],[g0_2,t53]) ).
cnf(g0_4,plain,
true != ifeq(double_divide(identity,identity),double_divide(identity,identity),ifeq(double_divide(double_divide(a2,identity),identity),a2,ifeq(double_divide(double_divide(c3,double_divide(identity,double_divide(b3,a3))),identity),double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)),false,true),true),true),
inference(rw,[status(thm)],[g0_3,t53]) ).
cnf(g0_5,plain,
true != ifeq(double_divide(identity,identity),double_divide(identity,identity),ifeq(double_divide(double_divide(a2,identity),identity),a2,ifeq(double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)),false,true),true),true),
inference(rw,[status(thm)],[g0_4,t53]) ).
cnf(g0_6,plain,
true != ifeq(double_divide(identity,identity),double_divide(identity,identity),ifeq(double_divide(identity,double_divide(a2,identity)),a2,ifeq(double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)),false,true),true),true),
inference(rw,[status(thm)],[g0_5,t53]) ).
cnf(g0_7,plain,
true != ifeq(double_divide(identity,identity),double_divide(identity,identity),ifeq(a2,a2,ifeq(double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)),false,true),true),true),
inference(rw,[status(thm)],[g0_6,t98]) ).
cnf(g0_8,plain,
true != ifeq(double_divide(identity,identity),double_divide(identity,identity),ifeq(double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)),false,true),true),
inference(rw,[status(thm)],[g0_7,t11]) ).
cnf(g0_9,plain,
true != ifeq(double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)),false,true),
inference(rw,[status(thm)],[g0_8,t11]) ).
cnf(g0_10,plain,
true != ifeq(double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),double_divide(double_divide(identity,a3),double_divide(c3,b3)),false,true),
inference(rw,[status(thm)],[g0_9,t164]) ).
cnf(g0_11,plain,
true != ifeq(double_divide(double_divide(b3,a3),double_divide(c3,identity)),double_divide(double_divide(identity,a3),double_divide(c3,b3)),false,true),
inference(rw,[status(thm)],[g0_10,t186]) ).
cnf(g0_12,plain,
true != ifeq(double_divide(double_divide(b3,a3),double_divide(identity,c3)),double_divide(double_divide(identity,a3),double_divide(c3,b3)),false,true),
inference(rw,[status(thm)],[g0_11,t53]) ).
cnf(g0_13,plain,
true != ifeq(double_divide(double_divide(identity,a3),double_divide(c3,b3)),double_divide(double_divide(identity,a3),double_divide(c3,b3)),false,true),
inference(rw,[status(thm)],[g0_12,t2924]) ).
cnf(g0_14,plain,
true != false,
inference(rw,[status(thm)],[g0_13,t11]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP075-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Sep 23 13:28:12 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.85/1.90 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.85/1.90 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------