%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP462-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 3.79s 0.92s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 11
% Syntax : Number of clauses : 129 ( 129 unt; 0 nHn; 63 RR)
% Number of literals : 129 ( 128 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 : 95 ( 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(t1905,plain,
sF1 = divide(a3,sF0),
inference(step,[status(thm)],[t3,t10]) ).
cnf(t12,plain,
divide(a3,sF0) = sF1,
inference(orient,[status(thm)],[t1905]) ).
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(t1909,plain,
sF3 = divide(divide(a3,sF0),divide(identity,c3)),
inference(step,[status(thm)],[t5,t10]) ).
cnf(t1910,plain,
sF3 = divide(sF1,divide(identity,c3)),
inference(step,[status(thm)],[t1909,t12]) ).
cnf(t1911,plain,
sF3 = divide(sF1,sF2),
inference(step,[status(thm)],[t1910,t11]) ).
cnf(t15,plain,
divide(sF1,sF2) = sF3,
inference(orient,[status(thm)],[t1911]) ).
cnf(t1,axiom,
divide(X1,divide(divide(divide(identity,X2),X3),divide(divide(divide(X1,X1),X1),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(t1915,plain,
divide(X1,divide(divide(divide(identity,X2),X3),divide(divide(identity,X1),X3))) = X2,
inference(step,[status(thm)],[t1,t9]) ).
cnf(t17,plain,
divide(X1,divide(divide(divide(identity,X2),X3),divide(divide(identity,X1),X3))) = X2,
inference(orient,[status(thm)],[t1915]) ).
cnf(t18,plain,
X1 = divide(X1,identity),
inference(cp,[status(thm)],[t17,t9]) ).
cnf(t33,plain,
divide(X1,identity) = X1,
inference(orient,[status(thm)],[t18]) ).
cnf(t34,plain,
X1 = divide(X2,divide(divide(identity,X1),divide(divide(identity,X2),identity))),
inference(cp,[status(thm)],[t17,t33]) ).
cnf(t1918,plain,
X1 = divide(X2,divide(divide(identity,X1),divide(identity,X2))),
inference(step,[status(thm)],[t34,t33]) ).
cnf(t114,plain,
divide(X1,divide(divide(identity,X2),divide(identity,X1))) = X2,
inference(orient,[status(thm)],[t1918]) ).
cnf(t19,plain,
X1 = divide(X2,divide(identity,divide(divide(identity,X2),divide(identity,X1)))),
inference(cp,[status(thm)],[t17,t9]) ).
cnf(t35,plain,
divide(X1,divide(identity,divide(divide(identity,X1),divide(identity,X2)))) = X2,
inference(orient,[status(thm)],[t19]) ).
cnf(t124,plain,
divide(identity,divide(divide(identity,identity),divide(identity,X1))) = divide(X2,divide(X1,divide(identity,X2))),
inference(cp,[status(thm)],[t114,t35]) ).
cnf(t1933,plain,
divide(identity,divide(identity,divide(identity,X1))) = divide(X2,divide(X1,divide(identity,X2))),
inference(step,[status(thm)],[t124,t9]) ).
cnf(t37,plain,
identity = divide(X1,divide(identity,divide(divide(identity,X1),identity))),
inference(cp,[status(thm)],[t35,t9]) ).
cnf(t1916,plain,
identity = divide(X1,divide(identity,divide(identity,X1))),
inference(step,[status(thm)],[t37,t33]) ).
cnf(t53,plain,
divide(X1,divide(identity,divide(identity,X1))) = identity,
inference(orient,[status(thm)],[t1916]) ).
cnf(t59,plain,
X1 = divide(X2,divide(identity,divide(divide(identity,X2),divide(identity,divide(identity,divide(identity,X1)))))),
inference(cp,[status(thm)],[t17,t53]) ).
cnf(t1917,plain,
X1 = divide(identity,divide(identity,X1)),
inference(step,[status(thm)],[t59,t35]) ).
cnf(t64,plain,
divide(identity,divide(identity,X1)) = X1,
inference(orient,[status(thm)],[t1917]) ).
cnf(t1934,plain,
divide(identity,X1) = divide(X2,divide(X1,divide(identity,X2))),
inference(step,[status(thm)],[t1933,t64]) ).
cnf(t577,plain,
divide(X1,divide(X2,divide(identity,X1))) = divide(identity,X2),
inference(orient,[status(thm)],[t1934]) ).
cnf(t123,plain,
X1 = divide(divide(divide(identity,divide(identity,X1)),divide(identity,X2)),X2),
inference(cp,[status(thm)],[t114,t35]) ).
cnf(t1928,plain,
X1 = divide(divide(X1,divide(identity,X2)),X2),
inference(step,[status(thm)],[t123,t64]) ).
cnf(t332,plain,
divide(divide(X1,divide(identity,X2)),X2) = X1,
inference(orient,[status(thm)],[t1928]) ).
cnf(t589,plain,
divide(identity,divide(X1,divide(identity,divide(identity,X2)))) = divide(X2,X1),
inference(cp,[status(thm)],[t577,t332]) ).
cnf(t1937,plain,
divide(identity,divide(X1,X2)) = divide(X2,X1),
inference(step,[status(thm)],[t589,t64]) ).
cnf(t756,plain,
divide(identity,divide(X1,X2)) = divide(X2,X1),
inference(orient,[status(thm)],[t1937]) ).
cnf(t116,plain,
X1 = divide(b3,divide(divide(identity,X1),sF0)),
inference(cp,[status(thm)],[t114,t10]) ).
cnf(t151,plain,
divide(b3,divide(divide(identity,X1),sF0)) = X1,
inference(orient,[status(thm)],[t116]) ).
cnf(t155,plain,
divide(identity,divide(divide(identity,identity),divide(identity,X1))) = divide(b3,divide(X1,sF0)),
inference(cp,[status(thm)],[t151,t35]) ).
cnf(t1919,plain,
divide(identity,divide(identity,divide(identity,X1))) = divide(b3,divide(X1,sF0)),
inference(step,[status(thm)],[t155,t9]) ).
cnf(t1920,plain,
divide(identity,X1) = divide(b3,divide(X1,sF0)),
inference(step,[status(thm)],[t1919,t64]) ).
cnf(t161,plain,
divide(b3,divide(X1,sF0)) = divide(identity,X1),
inference(orient,[status(thm)],[t1920]) ).
cnf(t344,plain,
divide(identity,divide(X1,divide(identity,sF0))) = divide(b3,X1),
inference(cp,[status(thm)],[t161,t332]) ).
cnf(t66,plain,
b3 = divide(identity,sF0),
inference(cp,[status(thm)],[t64,t10]) ).
cnf(t74,plain,
divide(identity,sF0) = b3,
inference(orient,[status(thm)],[t66]) ).
cnf(t1929,plain,
divide(identity,divide(X1,b3)) = divide(b3,X1),
inference(step,[status(thm)],[t344,t74]) ).
cnf(t414,plain,
divide(identity,divide(X1,b3)) = divide(b3,X1),
inference(orient,[status(thm)],[t1929]) ).
cnf(t419,plain,
divide(X1,b3) = divide(identity,divide(b3,X1)),
inference(cp,[status(thm)],[t64,t414]) ).
cnf(t471,plain,
divide(identity,divide(b3,X1)) = divide(X1,b3),
inference(orient,[status(thm)],[t419]) ).
cnf(t6,axiom,
sF4 = divide(b3,divide(identity,c3)),
introduced(definition) ).
cnf(t1906,plain,
sF4 = divide(b3,sF2),
inference(step,[status(thm)],[t6,t11]) ).
cnf(t13,plain,
divide(b3,sF2) = sF4,
inference(orient,[status(thm)],[t1906]) ).
cnf(t472,plain,
divide(sF2,b3) = divide(identity,sF4),
inference(cp,[status(thm)],[t471,t13]) ).
cnf(t7,axiom,
sF5 = divide(identity,divide(b3,divide(identity,c3))),
introduced(definition) ).
cnf(t1907,plain,
sF5 = divide(identity,divide(b3,sF2)),
inference(step,[status(thm)],[t7,t11]) ).
cnf(t1908,plain,
sF5 = divide(identity,sF4),
inference(step,[status(thm)],[t1907,t13]) ).
cnf(t14,plain,
divide(identity,sF4) = sF5,
inference(orient,[status(thm)],[t1908]) ).
cnf(t1932,plain,
divide(sF2,b3) = sF5,
inference(step,[status(thm)],[t472,t14]) ).
cnf(t494,plain,
divide(sF2,b3) = sF5,
inference(orient,[status(thm)],[t1932]) ).
cnf(t8,axiom,
sF6 = divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
introduced(definition) ).
cnf(t1912,plain,
sF6 = divide(a3,divide(identity,divide(b3,sF2))),
inference(step,[status(thm)],[t8,t11]) ).
cnf(t1913,plain,
sF6 = divide(a3,divide(identity,sF4)),
inference(step,[status(thm)],[t1912,t13]) ).
cnf(t1914,plain,
sF6 = divide(a3,sF5),
inference(step,[status(thm)],[t1913,t14]) ).
cnf(t16,plain,
divide(a3,sF5) = sF6,
inference(orient,[status(thm)],[t1914]) ).
cnf(t584,plain,
divide(identity,X1) = divide(sF0,divide(X1,b3)),
inference(cp,[status(thm)],[t577,t74]) ).
cnf(t605,plain,
divide(sF0,divide(X1,b3)) = divide(identity,X1),
inference(orient,[status(thm)],[t584]) ).
cnf(t333,plain,
X1 = divide(divide(X1,sF0),b3),
inference(cp,[status(thm)],[t332,t10]) ).
cnf(t348,plain,
divide(divide(X1,sF0),b3) = X1,
inference(orient,[status(thm)],[t333]) ).
cnf(t349,plain,
a3 = divide(sF1,b3),
inference(cp,[status(thm)],[t348,t12]) ).
cnf(t351,plain,
divide(sF1,b3) = a3,
inference(orient,[status(thm)],[t349]) ).
cnf(t608,plain,
divide(identity,sF1) = divide(sF0,a3),
inference(cp,[status(thm)],[t605,t351]) ).
cnf(t662,plain,
divide(identity,sF1) = divide(sF0,a3),
inference(orient,[status(thm)],[t608]) ).
cnf(t679,plain,
divide(identity,X1) = divide(sF1,divide(X1,divide(sF0,a3))),
inference(cp,[status(thm)],[t577,t662]) ).
cnf(t950,plain,
divide(sF1,divide(X1,divide(sF0,a3))) = divide(identity,X1),
inference(orient,[status(thm)],[t679]) ).
cnf(t24,plain,
X1 = divide(b3,divide(divide(divide(identity,X1),X2),divide(sF0,X2))),
inference(cp,[status(thm)],[t17,t10]) ).
cnf(t296,plain,
divide(b3,divide(divide(divide(identity,X1),X2),divide(sF0,X2))) = X1,
inference(orient,[status(thm)],[t24]) ).
cnf(t602,plain,
X1 = divide(b3,divide(divide(identity,X2),divide(sF0,divide(X2,divide(identity,divide(identity,X1)))))),
inference(cp,[status(thm)],[t296,t577]) ).
cnf(t2020,plain,
X1 = divide(b3,divide(divide(identity,X2),divide(sF0,divide(X2,divide(X1,identity))))),
inference(step,[status(thm)],[t602,t756]) ).
cnf(t2021,plain,
X1 = divide(b3,divide(divide(identity,X2),divide(sF0,divide(X2,X1)))),
inference(step,[status(thm)],[t2020,t33]) ).
cnf(t1622,plain,
divide(b3,divide(divide(identity,X1),divide(sF0,divide(X1,X2)))) = X2,
inference(orient,[status(thm)],[t2021]) ).
cnf(t298,plain,
sF4 = divide(b3,divide(divide(sF5,X1),divide(sF0,X1))),
inference(cp,[status(thm)],[t296,t14]) ).
cnf(t1074,plain,
divide(b3,divide(divide(sF5,X1),divide(sF0,X1))) = sF4,
inference(orient,[status(thm)],[t298]) ).
cnf(t1658,plain,
divide(divide(sF5,X1),divide(sF0,X1)) = divide(b3,divide(divide(identity,b3),divide(sF0,sF4))),
inference(cp,[status(thm)],[t1622,t1074]) ).
cnf(t2034,plain,
divide(divide(sF5,X1),divide(sF0,X1)) = divide(b3,divide(sF0,divide(sF0,sF4))),
inference(step,[status(thm)],[t1658,t10]) ).
cnf(t338,plain,
X1 = divide(divide(X1,b3),sF0),
inference(cp,[status(thm)],[t332,t74]) ).
cnf(t362,plain,
divide(divide(X1,b3),sF0) = X1,
inference(orient,[status(thm)],[t338]) ).
cnf(t67,plain,
c3 = divide(identity,sF2),
inference(cp,[status(thm)],[t64,t11]) ).
cnf(t80,plain,
divide(identity,sF2) = c3,
inference(orient,[status(thm)],[t67]) ).
cnf(t306,plain,
sF2 = divide(b3,divide(divide(c3,X1),divide(sF0,X1))),
inference(cp,[status(thm)],[t296,t80]) ).
cnf(t1156,plain,
divide(b3,divide(divide(c3,X1),divide(sF0,X1))) = sF2,
inference(orient,[status(thm)],[t306]) ).
cnf(t118,plain,
X1 = divide(c3,divide(divide(identity,X1),sF2)),
inference(cp,[status(thm)],[t114,t11]) ).
cnf(t202,plain,
divide(c3,divide(divide(identity,X1),sF2)) = X1,
inference(orient,[status(thm)],[t118]) ).
cnf(t206,plain,
sF0 = divide(c3,divide(b3,sF2)),
inference(cp,[status(thm)],[t202,t74]) ).
cnf(t1921,plain,
sF0 = divide(c3,sF4),
inference(step,[status(thm)],[t206,t13]) ).
cnf(t209,plain,
divide(c3,sF4) = sF0,
inference(orient,[status(thm)],[t1921]) ).
cnf(t1157,plain,
sF2 = divide(b3,divide(sF0,divide(sF0,sF4))),
inference(cp,[status(thm)],[t1156,t209]) ).
cnf(t1224,plain,
divide(b3,divide(sF0,divide(sF0,sF4))) = sF2,
inference(orient,[status(thm)],[t1157]) ).
cnf(t1225,plain,
divide(divide(sF0,divide(sF0,sF4)),b3) = divide(identity,sF2),
inference(cp,[status(thm)],[t756,t1224]) ).
cnf(t1975,plain,
divide(divide(sF0,divide(sF0,sF4)),b3) = c3,
inference(step,[status(thm)],[t1225,t80]) ).
cnf(t1288,plain,
divide(divide(sF0,divide(sF0,sF4)),b3) = c3,
inference(orient,[status(thm)],[t1975]) ).
cnf(t1289,plain,
divide(sF0,divide(sF0,sF4)) = divide(c3,sF0),
inference(cp,[status(thm)],[t362,t1288]) ).
cnf(t1303,plain,
divide(sF0,divide(sF0,sF4)) = divide(c3,sF0),
inference(orient,[status(thm)],[t1289]) ).
cnf(t2035,plain,
divide(divide(sF5,X1),divide(sF0,X1)) = divide(b3,divide(c3,sF0)),
inference(step,[status(thm)],[t2034,t1303]) ).
cnf(t2036,plain,
divide(divide(sF5,X1),divide(sF0,X1)) = divide(identity,c3),
inference(step,[status(thm)],[t2035,t161]) ).
cnf(t2037,plain,
divide(divide(sF5,X1),divide(sF0,X1)) = sF2,
inference(step,[status(thm)],[t2036,t11]) ).
cnf(t1776,plain,
divide(divide(sF5,X1),divide(sF0,X1)) = sF2,
inference(orient,[status(thm)],[t2037]) ).
cnf(t1789,plain,
divide(identity,divide(sF5,a3)) = divide(sF1,sF2),
inference(cp,[status(thm)],[t950,t1776]) ).
cnf(t2044,plain,
divide(a3,sF5) = divide(sF1,sF2),
inference(step,[status(thm)],[t1789,t756]) ).
cnf(t2045,plain,
sF6 = divide(sF1,sF2),
inference(step,[status(thm)],[t2044,t16]) ).
cnf(t2046,plain,
sF6 = sF3,
inference(step,[status(thm)],[t2045,t15]) ).
cnf(t1886,plain,
sF6 = sF3,
inference(orient,[status(thm)],[t2046]) ).
cnf(t2047,plain,
divide(a3,sF5) = sF3,
inference(step,[status(thm)],[t16,t1886]) ).
cnf(t1887,plain,
divide(a3,sF5) = sF3,
inference(orient,[status(thm)],[t2047]) ).
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,t756]) ).
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,t494]) ).
cnf(g0_7,plain,
sF3 != sF3,
inference(rw,[status(thm)],[g0_6,t1887]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP462-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 14:54:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.79/0.92 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.79/0.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------