%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP459-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 01:26:55 PM UTC 2026
% Result : Unsatisfiable 5.96s 1.19s
% Output : CNFRefutation 5.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 11
% Syntax : Number of clauses : 123 ( 123 unt; 0 nHn; 55 RR)
% Number of literals : 123 ( 122 equ; 10 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 : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
sF0 = divide(identity,b3),
introduced(definition) ).
cnf(t10,plain,
divide(identity,b3) = sF0,
inference(orient,[status(thm)],[t2]) ).
cnf(t3,axiom,
sF1 = divide(a3,divide(identity,b3)),
introduced(definition) ).
cnf(t790,plain,
sF1 = divide(a3,sF0),
inference(step,[status(thm)],[t3,t10]) ).
cnf(t12,plain,
divide(a3,sF0) = sF1,
inference(orient,[status(thm)],[t790]) ).
cnf(t4,axiom,
sF2 = divide(identity,c3),
introduced(definition) ).
cnf(t11,plain,
divide(identity,c3) = sF2,
inference(orient,[status(thm)],[t4]) ).
cnf(t5,axiom,
sF3 = divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
introduced(definition) ).
cnf(t794,plain,
sF3 = divide(divide(a3,sF0),divide(identity,c3)),
inference(step,[status(thm)],[t5,t10]) ).
cnf(t795,plain,
sF3 = divide(sF1,divide(identity,c3)),
inference(step,[status(thm)],[t794,t12]) ).
cnf(t796,plain,
sF3 = divide(sF1,sF2),
inference(step,[status(thm)],[t795,t11]) ).
cnf(t15,plain,
divide(sF1,sF2) = sF3,
inference(orient,[status(thm)],[t796]) ).
cnf(t1,axiom,
divide(divide(divide(X1,X1),divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t0,axiom,
divide(X1,X1) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
divide(X1,X1) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t800,plain,
divide(divide(identity,divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2,
inference(step,[status(thm)],[t1,t9]) ).
cnf(t17,plain,
divide(divide(identity,divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2,
inference(orient,[status(thm)],[t800]) ).
cnf(t19,plain,
X1 = divide(divide(identity,divide(X2,divide(X1,identity))),divide(identity,X2)),
inference(cp,[status(thm)],[t17,t9]) ).
cnf(t33,plain,
divide(divide(identity,divide(X1,divide(X2,identity))),divide(identity,X1)) = X2,
inference(orient,[status(thm)],[t19]) ).
cnf(t34,plain,
X1 = divide(divide(identity,identity),divide(identity,divide(X1,identity))),
inference(cp,[status(thm)],[t33,t9]) ).
cnf(t803,plain,
X1 = divide(identity,divide(identity,divide(X1,identity))),
inference(step,[status(thm)],[t34,t9]) ).
cnf(t18,plain,
divide(divide(identity,X1),X2) = divide(divide(identity,divide(X1,identity)),X2),
inference(cp,[status(thm)],[t17,t9]) ).
cnf(t26,plain,
divide(divide(identity,divide(X1,identity)),X2) = divide(divide(identity,X1),X2),
inference(orient,[status(thm)],[t18]) ).
cnf(t31,plain,
divide(identity,divide(X1,identity)) = divide(divide(identity,divide(X2,divide(divide(identity,X1),divide(divide(identity,X2),X3)))),X3),
inference(cp,[status(thm)],[t17,t26]) ).
cnf(t801,plain,
divide(identity,divide(X1,identity)) = divide(identity,X1),
inference(step,[status(thm)],[t31,t17]) ).
cnf(t44,plain,
divide(identity,divide(X1,identity)) = divide(identity,X1),
inference(orient,[status(thm)],[t801]) ).
cnf(t804,plain,
X1 = divide(identity,divide(identity,X1)),
inference(step,[status(thm)],[t803,t44]) ).
cnf(t51,plain,
divide(identity,divide(identity,X1)) = X1,
inference(orient,[status(thm)],[t804]) ).
cnf(t56,plain,
X1 = divide(divide(X1,divide(divide(identity,identity),X2)),X2),
inference(cp,[status(thm)],[t17,t51]) ).
cnf(t808,plain,
X1 = divide(divide(X1,divide(identity,X2)),X2),
inference(step,[status(thm)],[t56,t9]) ).
cnf(t73,plain,
divide(divide(X1,divide(identity,X2)),X2) = X1,
inference(orient,[status(thm)],[t808]) ).
cnf(t74,plain,
X1 = divide(divide(X1,sF0),b3),
inference(cp,[status(thm)],[t73,t10]) ).
cnf(t84,plain,
divide(divide(X1,sF0),b3) = X1,
inference(orient,[status(thm)],[t74]) ).
cnf(t21,plain,
X1 = divide(divide(identity,divide(b3,divide(X1,divide(sF0,X2)))),X2),
inference(cp,[status(thm)],[t17,t10]) ).
cnf(t115,plain,
divide(divide(identity,divide(b3,divide(X1,divide(sF0,X2)))),X2) = X1,
inference(orient,[status(thm)],[t21]) ).
cnf(t123,plain,
divide(identity,divide(b3,divide(X1,divide(sF0,sF0)))) = divide(X1,b3),
inference(cp,[status(thm)],[t84,t115]) ).
cnf(t810,plain,
divide(identity,divide(b3,divide(X1,identity))) = divide(X1,b3),
inference(step,[status(thm)],[t123,t9]) ).
cnf(t55,plain,
divide(X1,identity) = divide(identity,divide(identity,X1)),
inference(cp,[status(thm)],[t51,t44]) ).
cnf(t805,plain,
divide(X1,identity) = X1,
inference(step,[status(thm)],[t55,t51]) ).
cnf(t69,plain,
divide(X1,identity) = X1,
inference(orient,[status(thm)],[t805]) ).
cnf(t811,plain,
divide(identity,divide(b3,X1)) = divide(X1,b3),
inference(step,[status(thm)],[t810,t69]) ).
cnf(t138,plain,
divide(identity,divide(b3,X1)) = divide(X1,b3),
inference(orient,[status(thm)],[t811]) ).
cnf(t6,axiom,
sF4 = divide(b3,divide(identity,c3)),
introduced(definition) ).
cnf(t791,plain,
sF4 = divide(b3,sF2),
inference(step,[status(thm)],[t6,t11]) ).
cnf(t13,plain,
divide(b3,sF2) = sF4,
inference(orient,[status(thm)],[t791]) ).
cnf(t140,plain,
divide(sF2,b3) = divide(identity,sF4),
inference(cp,[status(thm)],[t138,t13]) ).
cnf(t7,axiom,
sF5 = divide(identity,divide(b3,divide(identity,c3))),
introduced(definition) ).
cnf(t792,plain,
sF5 = divide(identity,divide(b3,sF2)),
inference(step,[status(thm)],[t7,t11]) ).
cnf(t793,plain,
sF5 = divide(identity,sF4),
inference(step,[status(thm)],[t792,t13]) ).
cnf(t14,plain,
divide(identity,sF4) = sF5,
inference(orient,[status(thm)],[t793]) ).
cnf(t813,plain,
divide(sF2,b3) = sF5,
inference(step,[status(thm)],[t140,t14]) ).
cnf(t145,plain,
divide(sF2,b3) = sF5,
inference(orient,[status(thm)],[t813]) ).
cnf(t8,axiom,
sF6 = divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
introduced(definition) ).
cnf(t797,plain,
sF6 = divide(a3,divide(identity,divide(b3,sF2))),
inference(step,[status(thm)],[t8,t11]) ).
cnf(t798,plain,
sF6 = divide(a3,divide(identity,sF4)),
inference(step,[status(thm)],[t797,t13]) ).
cnf(t799,plain,
sF6 = divide(a3,sF5),
inference(step,[status(thm)],[t798,t14]) ).
cnf(t16,plain,
divide(a3,sF5) = sF6,
inference(orient,[status(thm)],[t799]) ).
cnf(t54,plain,
sF4 = divide(identity,sF5),
inference(cp,[status(thm)],[t51,t14]) ).
cnf(t66,plain,
divide(identity,sF5) = sF4,
inference(orient,[status(thm)],[t54]) ).
cnf(t81,plain,
X1 = divide(divide(X1,sF4),sF5),
inference(cp,[status(thm)],[t73,t66]) ).
cnf(t107,plain,
divide(divide(X1,sF4),sF5) = X1,
inference(orient,[status(thm)],[t81]) ).
cnf(t76,plain,
X1 = divide(divide(X1,sF5),sF4),
inference(cp,[status(thm)],[t73,t14]) ).
cnf(t96,plain,
divide(divide(X1,sF5),sF4) = X1,
inference(orient,[status(thm)],[t76]) ).
cnf(t99,plain,
X1 = divide(divide(identity,divide(sF5,divide(X1,identity))),sF4),
inference(cp,[status(thm)],[t17,t96]) ).
cnf(t830,plain,
X1 = divide(divide(identity,divide(sF5,X1)),sF4),
inference(step,[status(thm)],[t99,t69]) ).
cnf(t285,plain,
divide(divide(identity,divide(sF5,X1)),sF4) = X1,
inference(orient,[status(thm)],[t830]) ).
cnf(t287,plain,
divide(identity,divide(sF5,X1)) = divide(X1,sF5),
inference(cp,[status(thm)],[t107,t285]) ).
cnf(t289,plain,
divide(identity,divide(sF5,X1)) = divide(X1,sF5),
inference(orient,[status(thm)],[t287]) ).
cnf(t57,plain,
X1 = divide(divide(identity,divide(divide(identity,X2),divide(X1,divide(X2,X3)))),X3),
inference(cp,[status(thm)],[t17,t51]) ).
cnf(t682,plain,
divide(divide(identity,divide(divide(identity,X1),divide(X2,divide(X1,X3)))),X3) = X2,
inference(orient,[status(thm)],[t57]) ).
cnf(t78,plain,
X1 = divide(divide(X1,X2),divide(identity,X2)),
inference(cp,[status(thm)],[t73,t51]) ).
cnf(t110,plain,
divide(divide(X1,X2),divide(identity,X2)) = X1,
inference(orient,[status(thm)],[t78]) ).
cnf(t52,plain,
b3 = divide(identity,sF0),
inference(cp,[status(thm)],[t51,t10]) ).
cnf(t60,plain,
divide(identity,sF0) = b3,
inference(orient,[status(thm)],[t52]) ).
cnf(t79,plain,
X1 = divide(divide(X1,b3),sF0),
inference(cp,[status(thm)],[t73,t60]) ).
cnf(t101,plain,
divide(divide(X1,b3),sF0) = X1,
inference(orient,[status(thm)],[t79]) ).
cnf(t87,plain,
X1 = divide(divide(identity,divide(sF0,divide(X1,identity))),b3),
inference(cp,[status(thm)],[t17,t84]) ).
cnf(t809,plain,
X1 = divide(divide(identity,divide(sF0,X1)),b3),
inference(step,[status(thm)],[t87,t69]) ).
cnf(t112,plain,
divide(divide(identity,divide(sF0,X1)),b3) = X1,
inference(orient,[status(thm)],[t809]) ).
cnf(t114,plain,
divide(identity,divide(sF0,X1)) = divide(X1,sF0),
inference(cp,[status(thm)],[t101,t112]) ).
cnf(t130,plain,
divide(identity,divide(sF0,X1)) = divide(X1,sF0),
inference(orient,[status(thm)],[t114]) ).
cnf(t134,plain,
divide(sF0,X1) = divide(identity,divide(X1,sF0)),
inference(cp,[status(thm)],[t51,t130]) ).
cnf(t148,plain,
divide(identity,divide(X1,sF0)) = divide(sF0,X1),
inference(orient,[status(thm)],[t134]) ).
cnf(t149,plain,
divide(sF0,a3) = divide(identity,sF1),
inference(cp,[status(thm)],[t148,t12]) ).
cnf(t155,plain,
divide(identity,sF1) = divide(sF0,a3),
inference(orient,[status(thm)],[t149]) ).
cnf(t158,plain,
X1 = divide(divide(X1,sF1),divide(sF0,a3)),
inference(cp,[status(thm)],[t110,t155]) ).
cnf(t383,plain,
divide(divide(X1,sF1),divide(sF0,a3)) = X1,
inference(orient,[status(thm)],[t158]) ).
cnf(t709,plain,
divide(X1,sF1) = divide(divide(identity,divide(divide(identity,sF0),X1)),a3),
inference(cp,[status(thm)],[t682,t383]) ).
cnf(t839,plain,
divide(X1,sF1) = divide(divide(identity,divide(b3,X1)),a3),
inference(step,[status(thm)],[t709,t60]) ).
cnf(t840,plain,
divide(X1,sF1) = divide(divide(X1,b3),a3),
inference(step,[status(thm)],[t839,t138]) ).
cnf(t757,plain,
divide(divide(X1,b3),a3) = divide(X1,sF1),
inference(orient,[status(thm)],[t840]) ).
cnf(t760,plain,
divide(sF2,sF1) = divide(sF5,a3),
inference(cp,[status(thm)],[t757,t145]) ).
cnf(t766,plain,
divide(sF5,a3) = divide(sF2,sF1),
inference(orient,[status(thm)],[t760]) ).
cnf(t774,plain,
divide(a3,sF5) = divide(identity,divide(sF2,sF1)),
inference(cp,[status(thm)],[t289,t766]) ).
cnf(t847,plain,
sF6 = divide(identity,divide(sF2,sF1)),
inference(step,[status(thm)],[t774,t16]) ).
cnf(t53,plain,
c3 = divide(identity,sF2),
inference(cp,[status(thm)],[t51,t11]) ).
cnf(t63,plain,
divide(identity,sF2) = c3,
inference(orient,[status(thm)],[t53]) ).
cnf(t80,plain,
X1 = divide(divide(X1,c3),sF2),
inference(cp,[status(thm)],[t73,t63]) ).
cnf(t104,plain,
divide(divide(X1,c3),sF2) = X1,
inference(orient,[status(thm)],[t80]) ).
cnf(t75,plain,
X1 = divide(divide(X1,sF2),c3),
inference(cp,[status(thm)],[t73,t11]) ).
cnf(t89,plain,
divide(divide(X1,sF2),c3) = X1,
inference(orient,[status(thm)],[t75]) ).
cnf(t93,plain,
X1 = divide(divide(identity,divide(sF2,divide(X1,identity))),c3),
inference(cp,[status(thm)],[t17,t89]) ).
cnf(t822,plain,
X1 = divide(divide(identity,divide(sF2,X1)),c3),
inference(step,[status(thm)],[t93,t69]) ).
cnf(t214,plain,
divide(divide(identity,divide(sF2,X1)),c3) = X1,
inference(orient,[status(thm)],[t822]) ).
cnf(t216,plain,
divide(identity,divide(sF2,X1)) = divide(X1,sF2),
inference(cp,[status(thm)],[t104,t214]) ).
cnf(t218,plain,
divide(identity,divide(sF2,X1)) = divide(X1,sF2),
inference(orient,[status(thm)],[t216]) ).
cnf(t848,plain,
sF6 = divide(sF1,sF2),
inference(step,[status(thm)],[t847,t218]) ).
cnf(t849,plain,
sF6 = sF3,
inference(step,[status(thm)],[t848,t15]) ).
cnf(t777,plain,
sF6 = sF3,
inference(orient,[status(thm)],[t849]) ).
cnf(t850,plain,
divide(a3,sF5) = sF3,
inference(step,[status(thm)],[t16,t777]) ).
cnf(t778,plain,
divide(a3,sF5) = sF3,
inference(orient,[status(thm)],[t850]) ).
cnf(u0,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(d0,axiom,
multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(goal_0,negated_conjecture,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(g0_0,plain,
divide(divide(a3,sF0),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(rw,[status(thm)],[goal_0,t10]) ).
cnf(g0_1,plain,
divide(sF1,divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(rw,[status(thm)],[g0_0,t12]) ).
cnf(g0_2,plain,
divide(sF1,sF2) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(rw,[status(thm)],[g0_1,t11]) ).
cnf(g0_3,plain,
sF3 != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(rw,[status(thm)],[g0_2,t15]) ).
cnf(g0_4,plain,
sF3 != divide(a3,divide(divide(identity,c3),b3)),
inference(rw,[status(thm)],[g0_3,t138]) ).
cnf(g0_5,plain,
sF3 != divide(a3,divide(sF2,b3)),
inference(rw,[status(thm)],[g0_4,t11]) ).
cnf(g0_6,plain,
sF3 != divide(a3,sF5),
inference(rw,[status(thm)],[g0_5,t145]) ).
cnf(g0_7,plain,
sF3 != sF3,
inference(rw,[status(thm)],[g0_6,t778]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP459-1 : 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 : n020.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 14:49:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.96/1.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.96/1.19 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------