%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP547-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 01:27:30 PM UTC 2026
% Result : Unsatisfiable 5.69s 36.23s
% Output : CNFRefutation 5.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 11
% Syntax : Number of clauses : 109 ( 109 unt; 0 nHn; 76 RR)
% Number of literals : 109 ( 108 equ; 11 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 54 ( 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(t768,plain,
sF1 = divide(a3,sF0),
inference(step,[status(thm)],[t3,t10]) ).
cnf(t12,plain,
divide(a3,sF0) = sF1,
inference(orient,[status(thm)],[t768]) ).
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(t772,plain,
sF3 = divide(divide(a3,sF0),divide(identity,c3)),
inference(step,[status(thm)],[t5,t10]) ).
cnf(t773,plain,
sF3 = divide(sF1,divide(identity,c3)),
inference(step,[status(thm)],[t772,t12]) ).
cnf(t774,plain,
sF3 = divide(sF1,sF2),
inference(step,[status(thm)],[t773,t11]) ).
cnf(t15,plain,
divide(sF1,sF2) = sF3,
inference(orient,[status(thm)],[t774]) ).
cnf(t1,axiom,
divide(divide(identity,divide(X1,X2)),divide(divide(X2,X3),X1)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t17,plain,
divide(divide(identity,divide(X1,X2)),divide(divide(X2,X3),X1)) = X3,
inference(orient,[status(thm)],[t1]) ).
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(t18,plain,
X1 = divide(divide(identity,identity),divide(divide(X2,X1),X2)),
inference(cp,[status(thm)],[t17,t9]) ).
cnf(t778,plain,
X1 = divide(identity,divide(divide(X2,X1),X2)),
inference(step,[status(thm)],[t18,t9]) ).
cnf(t38,plain,
divide(identity,divide(divide(X1,X2),X1)) = X2,
inference(orient,[status(thm)],[t778]) ).
cnf(t48,plain,
divide(divide(X1,X2),X1) = divide(identity,divide(X2,identity)),
inference(cp,[status(thm)],[t38,t38]) ).
cnf(t19,plain,
X1 = divide(divide(identity,divide(divide(X2,X1),X2)),identity),
inference(cp,[status(thm)],[t17,t9]) ).
cnf(t779,plain,
X1 = divide(X1,identity),
inference(step,[status(thm)],[t19,t38]) ).
cnf(t52,plain,
divide(X1,identity) = X1,
inference(orient,[status(thm)],[t779]) ).
cnf(t802,plain,
divide(divide(X1,X2),X1) = divide(identity,X2),
inference(step,[status(thm)],[t48,t52]) ).
cnf(t173,plain,
divide(divide(X1,X2),X1) = divide(identity,X2),
inference(orient,[status(thm)],[t802]) ).
cnf(t39,plain,
X1 = divide(identity,divide(identity,X1)),
inference(cp,[status(thm)],[t38,t9]) ).
cnf(t56,plain,
divide(identity,divide(identity,X1)) = X1,
inference(orient,[status(thm)],[t39]) ).
cnf(t61,plain,
X1 = divide(X2,divide(divide(X2,X1),identity)),
inference(cp,[status(thm)],[t17,t56]) ).
cnf(t809,plain,
X1 = divide(X2,divide(X2,X1)),
inference(step,[status(thm)],[t61,t52]) ).
cnf(t220,plain,
divide(X1,divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t809]) ).
cnf(t241,plain,
divide(identity,divide(X1,X2)) = divide(X2,X1),
inference(cp,[status(thm)],[t173,t220]) ).
cnf(t369,plain,
divide(identity,divide(X1,X2)) = divide(X2,X1),
inference(orient,[status(thm)],[t241]) ).
cnf(t22,plain,
b3 = divide(divide(identity,divide(X1,identity)),divide(sF0,X1)),
inference(cp,[status(thm)],[t17,t10]) ).
cnf(t804,plain,
b3 = divide(divide(identity,X1),divide(sF0,X1)),
inference(step,[status(thm)],[t22,t52]) ).
cnf(t198,plain,
divide(divide(identity,X1),divide(sF0,X1)) = b3,
inference(orient,[status(thm)],[t804]) ).
cnf(t234,plain,
divide(sF0,X1) = divide(divide(identity,X1),b3),
inference(cp,[status(thm)],[t220,t198]) ).
cnf(t344,plain,
divide(divide(identity,X1),b3) = divide(sF0,X1),
inference(orient,[status(thm)],[t234]) ).
cnf(t381,plain,
divide(sF0,divide(X1,X2)) = divide(divide(X2,X1),b3),
inference(cp,[status(thm)],[t344,t369]) ).
cnf(t456,plain,
divide(divide(X1,X2),b3) = divide(sF0,divide(X2,X1)),
inference(orient,[status(thm)],[t381]) ).
cnf(t20,plain,
X1 = divide(divide(identity,divide(X2,X1)),divide(identity,X2)),
inference(cp,[status(thm)],[t17,t9]) ).
cnf(t84,plain,
divide(divide(identity,divide(X1,X2)),divide(identity,X1)) = X2,
inference(orient,[status(thm)],[t20]) ).
cnf(t6,axiom,
sF4 = divide(b3,divide(identity,c3)),
introduced(definition) ).
cnf(t769,plain,
sF4 = divide(b3,sF2),
inference(step,[status(thm)],[t6,t11]) ).
cnf(t13,plain,
divide(b3,sF2) = sF4,
inference(orient,[status(thm)],[t769]) ).
cnf(t43,plain,
sF2 = divide(identity,divide(sF4,b3)),
inference(cp,[status(thm)],[t38,t13]) ).
cnf(t79,plain,
divide(identity,divide(sF4,b3)) = sF2,
inference(orient,[status(thm)],[t43]) ).
cnf(t83,plain,
divide(sF4,b3) = divide(identity,divide(sF2,identity)),
inference(cp,[status(thm)],[t38,t79]) ).
cnf(t782,plain,
divide(sF4,b3) = divide(identity,sF2),
inference(step,[status(thm)],[t83,t52]) ).
cnf(t58,plain,
c3 = divide(identity,sF2),
inference(cp,[status(thm)],[t56,t11]) ).
cnf(t65,plain,
divide(identity,sF2) = c3,
inference(orient,[status(thm)],[t58]) ).
cnf(t783,plain,
divide(sF4,b3) = c3,
inference(step,[status(thm)],[t782,t65]) ).
cnf(t105,plain,
divide(sF4,b3) = c3,
inference(orient,[status(thm)],[t783]) ).
cnf(t110,plain,
b3 = divide(divide(identity,c3),divide(identity,sF4)),
inference(cp,[status(thm)],[t84,t105]) ).
cnf(t786,plain,
b3 = divide(sF2,divide(identity,sF4)),
inference(step,[status(thm)],[t110,t11]) ).
cnf(t7,axiom,
sF5 = divide(identity,divide(b3,divide(identity,c3))),
introduced(definition) ).
cnf(t770,plain,
sF5 = divide(identity,divide(b3,sF2)),
inference(step,[status(thm)],[t7,t11]) ).
cnf(t771,plain,
sF5 = divide(identity,sF4),
inference(step,[status(thm)],[t770,t13]) ).
cnf(t14,plain,
divide(identity,sF4) = sF5,
inference(orient,[status(thm)],[t771]) ).
cnf(t787,plain,
b3 = divide(sF2,sF5),
inference(step,[status(thm)],[t786,t14]) ).
cnf(t116,plain,
divide(sF2,sF5) = b3,
inference(orient,[status(thm)],[t787]) ).
cnf(t119,plain,
sF5 = divide(divide(identity,b3),divide(identity,sF2)),
inference(cp,[status(thm)],[t84,t116]) ).
cnf(t790,plain,
sF5 = divide(sF0,divide(identity,sF2)),
inference(step,[status(thm)],[t119,t10]) ).
cnf(t791,plain,
sF5 = divide(sF0,c3),
inference(step,[status(thm)],[t790,t65]) ).
cnf(t124,plain,
divide(sF0,c3) = sF5,
inference(orient,[status(thm)],[t791]) ).
cnf(t8,axiom,
sF6 = divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
introduced(definition) ).
cnf(t775,plain,
sF6 = divide(a3,divide(identity,divide(b3,sF2))),
inference(step,[status(thm)],[t8,t11]) ).
cnf(t776,plain,
sF6 = divide(a3,divide(identity,sF4)),
inference(step,[status(thm)],[t775,t13]) ).
cnf(t777,plain,
sF6 = divide(a3,sF5),
inference(step,[status(thm)],[t776,t14]) ).
cnf(t16,plain,
divide(a3,sF5) = sF6,
inference(orient,[status(thm)],[t777]) ).
cnf(t25,plain,
X1 = divide(divide(identity,sF1),divide(divide(sF0,X1),a3)),
inference(cp,[status(thm)],[t17,t12]) ).
cnf(t223,plain,
sF0 = divide(a3,sF1),
inference(cp,[status(thm)],[t220,t12]) ).
cnf(t244,plain,
divide(a3,sF1) = sF0,
inference(orient,[status(thm)],[t223]) ).
cnf(t247,plain,
divide(identity,sF1) = divide(sF0,a3),
inference(cp,[status(thm)],[t173,t244]) ).
cnf(t267,plain,
divide(identity,sF1) = divide(sF0,a3),
inference(orient,[status(thm)],[t247]) ).
cnf(t820,plain,
X1 = divide(divide(sF0,a3),divide(divide(sF0,X1),a3)),
inference(step,[status(thm)],[t25,t267]) ).
cnf(t351,plain,
divide(divide(sF0,a3),divide(divide(sF0,X1),a3)) = X1,
inference(orient,[status(thm)],[t820]) ).
cnf(t352,plain,
c3 = divide(divide(sF0,a3),divide(sF5,a3)),
inference(cp,[status(thm)],[t351,t124]) ).
cnf(t727,plain,
divide(divide(sF0,a3),divide(sF5,a3)) = c3,
inference(orient,[status(thm)],[t352]) ).
cnf(t728,plain,
divide(identity,divide(sF5,a3)) = divide(c3,divide(sF0,a3)),
inference(cp,[status(thm)],[t173,t727]) ).
cnf(t842,plain,
divide(a3,sF5) = divide(c3,divide(sF0,a3)),
inference(step,[status(thm)],[t728,t369]) ).
cnf(t843,plain,
sF6 = divide(c3,divide(sF0,a3)),
inference(step,[status(thm)],[t842,t16]) ).
cnf(t45,plain,
sF2 = divide(identity,divide(sF3,sF1)),
inference(cp,[status(thm)],[t38,t15]) ).
cnf(t127,plain,
divide(identity,divide(sF3,sF1)) = sF2,
inference(orient,[status(thm)],[t45]) ).
cnf(t131,plain,
divide(sF3,sF1) = divide(identity,divide(sF2,identity)),
inference(cp,[status(thm)],[t38,t127]) ).
cnf(t792,plain,
divide(sF3,sF1) = divide(identity,sF2),
inference(step,[status(thm)],[t131,t52]) ).
cnf(t793,plain,
divide(sF3,sF1) = c3,
inference(step,[status(thm)],[t792,t65]) ).
cnf(t134,plain,
divide(sF3,sF1) = c3,
inference(orient,[status(thm)],[t793]) ).
cnf(t178,plain,
divide(identity,sF1) = divide(c3,sF3),
inference(cp,[status(thm)],[t173,t134]) ).
cnf(t191,plain,
divide(c3,sF3) = divide(identity,sF1),
inference(orient,[status(thm)],[t178]) ).
cnf(t233,plain,
sF3 = divide(c3,divide(identity,sF1)),
inference(cp,[status(thm)],[t220,t191]) ).
cnf(t819,plain,
sF3 = divide(c3,divide(sF0,a3)),
inference(step,[status(thm)],[t233,t267]) ).
cnf(t341,plain,
divide(c3,divide(sF0,a3)) = sF3,
inference(orient,[status(thm)],[t819]) ).
cnf(t844,plain,
sF6 = sF3,
inference(step,[status(thm)],[t843,t341]) ).
cnf(t738,plain,
sF6 = sF3,
inference(orient,[status(thm)],[t844]) ).
cnf(t845,plain,
divide(a3,sF5) = sF3,
inference(step,[status(thm)],[t16,t738]) ).
cnf(t739,plain,
divide(a3,sF5) = sF3,
inference(orient,[status(thm)],[t845]) ).
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,t369]) ).
cnf(g0_5,plain,
sF3 != divide(a3,divide(sF0,divide(c3,identity))),
inference(rw,[status(thm)],[g0_4,t456]) ).
cnf(g0_6,plain,
sF3 != divide(a3,divide(sF0,c3)),
inference(rw,[status(thm)],[g0_5,t52]) ).
cnf(g0_7,plain,
sF3 != divide(a3,sF5),
inference(rw,[status(thm)],[g0_6,t124]) ).
cnf(g0_8,plain,
sF3 != sF3,
inference(rw,[status(thm)],[g0_7,t739]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP547-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.11/35.46 % CPULimit : 300
% 0.11/35.46 % WCLimit : 300
% 0.11/35.46 % DateTime : Wed Sep 23 15:02:44 UTC 2026
% 0.11/35.46 % CPUTime :
% 0.11/35.46 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.69/36.23 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.69/36.23 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------