%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP555-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 01:27:31 PM UTC 2026
% Result : Unsatisfiable 4.78s 6.16s
% Output : CNFRefutation 4.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 10
% Syntax : Number of clauses : 105 ( 105 unt; 0 nHn; 73 RR)
% Number of literals : 105 ( 104 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; 10 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
sF0 = inverse(b3),
introduced(definition) ).
cnf(t8,plain,
inverse(b3) = sF0,
inference(orient,[status(thm)],[t1]) ).
cnf(t2,axiom,
sF1 = divide(a3,inverse(b3)),
introduced(definition) ).
cnf(t1099,plain,
sF1 = divide(a3,sF0),
inference(step,[status(thm)],[t2,t8]) ).
cnf(t10,plain,
divide(a3,sF0) = sF1,
inference(orient,[status(thm)],[t1099]) ).
cnf(t3,axiom,
sF2 = inverse(c3),
introduced(definition) ).
cnf(t9,plain,
inverse(c3) = sF2,
inference(orient,[status(thm)],[t3]) ).
cnf(t4,axiom,
sF3 = divide(divide(a3,inverse(b3)),inverse(c3)),
introduced(definition) ).
cnf(t1103,plain,
sF3 = divide(divide(a3,sF0),inverse(c3)),
inference(step,[status(thm)],[t4,t8]) ).
cnf(t1104,plain,
sF3 = divide(sF1,inverse(c3)),
inference(step,[status(thm)],[t1103,t10]) ).
cnf(t1105,plain,
sF3 = divide(sF1,sF2),
inference(step,[status(thm)],[t1104,t9]) ).
cnf(t13,plain,
divide(sF1,sF2) = sF3,
inference(orient,[status(thm)],[t1105]) ).
cnf(t5,axiom,
sF4 = divide(b3,inverse(c3)),
introduced(definition) ).
cnf(t1100,plain,
sF4 = divide(b3,sF2),
inference(step,[status(thm)],[t5,t9]) ).
cnf(t11,plain,
divide(b3,sF2) = sF4,
inference(orient,[status(thm)],[t1100]) ).
cnf(t6,axiom,
sF5 = inverse(divide(b3,inverse(c3))),
introduced(definition) ).
cnf(t1101,plain,
sF5 = inverse(divide(b3,sF2)),
inference(step,[status(thm)],[t6,t9]) ).
cnf(t1102,plain,
sF5 = inverse(sF4),
inference(step,[status(thm)],[t1101,t11]) ).
cnf(t12,plain,
inverse(sF4) = sF5,
inference(orient,[status(thm)],[t1102]) ).
cnf(t7,axiom,
sF6 = divide(a3,inverse(divide(b3,inverse(c3)))),
introduced(definition) ).
cnf(t1106,plain,
sF6 = divide(a3,inverse(divide(b3,sF2))),
inference(step,[status(thm)],[t7,t9]) ).
cnf(t1107,plain,
sF6 = divide(a3,inverse(sF4)),
inference(step,[status(thm)],[t1106,t11]) ).
cnf(t1108,plain,
sF6 = divide(a3,sF5),
inference(step,[status(thm)],[t1107,t12]) ).
cnf(t14,plain,
divide(a3,sF5) = sF6,
inference(orient,[status(thm)],[t1108]) ).
cnf(t0,axiom,
divide(divide(X1,inverse(divide(X2,divide(X1,X3)))),X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t15,plain,
divide(divide(X1,inverse(divide(X2,divide(X1,X3)))),X3) = X2,
inference(orient,[status(thm)],[t0]) ).
cnf(t21,plain,
X1 = divide(divide(divide(X2,inverse(divide(X3,divide(X2,Y3)))),inverse(divide(X1,X3))),Y3),
inference(cp,[status(thm)],[t15,t15]) ).
cnf(t156,plain,
divide(divide(divide(X1,inverse(divide(X2,divide(X1,X3)))),inverse(divide(Y3,X2))),X3) = Y3,
inference(orient,[status(thm)],[t21]) ).
cnf(t161,plain,
X1 = divide(X2,inverse(divide(X1,X2))),
inference(cp,[status(thm)],[t156,t15]) ).
cnf(t226,plain,
divide(X1,inverse(divide(X2,X1))) = X2,
inference(orient,[status(thm)],[t161]) ).
cnf(t16,plain,
X1 = divide(divide(a3,inverse(divide(X1,sF1))),sF0),
inference(cp,[status(thm)],[t15,t10]) ).
cnf(t22,plain,
divide(divide(a3,inverse(divide(X1,sF1))),sF0) = X1,
inference(orient,[status(thm)],[t16]) ).
cnf(t23,plain,
divide(X1,inverse(divide(X2,divide(X1,sF1)))) = divide(divide(a3,inverse(X2)),sF0),
inference(cp,[status(thm)],[t22,t15]) ).
cnf(t34,plain,
divide(X1,inverse(divide(X2,divide(X1,sF1)))) = divide(divide(a3,inverse(X2)),sF0),
inference(orient,[status(thm)],[t23]) ).
cnf(t37,plain,
X1 = divide(divide(divide(a3,inverse(X1)),sF0),sF1),
inference(cp,[status(thm)],[t15,t34]) ).
cnf(t54,plain,
divide(divide(divide(a3,inverse(X1)),sF0),sF1) = X1,
inference(orient,[status(thm)],[t37]) ).
cnf(t254,plain,
divide(X1,a3) = divide(divide(X1,sF0),sF1),
inference(cp,[status(thm)],[t54,t226]) ).
cnf(t393,plain,
divide(divide(X1,sF0),sF1) = divide(X1,a3),
inference(orient,[status(thm)],[t254]) ).
cnf(t36,plain,
divide(divide(a3,inverse(X1)),sF0) = divide(divide(X2,inverse(divide(X3,divide(X2,sF1)))),inverse(divide(X1,X3))),
inference(cp,[status(thm)],[t34,t15]) ).
cnf(t1150,plain,
divide(divide(a3,inverse(X1)),sF0) = divide(divide(divide(a3,inverse(X3)),sF0),inverse(divide(X1,X3))),
inference(step,[status(thm)],[t36,t34]) ).
cnf(t962,plain,
divide(divide(divide(a3,inverse(X1)),sF0),inverse(divide(X2,X1))) = divide(divide(a3,inverse(X2)),sF0),
inference(orient,[status(thm)],[t1150]) ).
cnf(t17,plain,
X1 = divide(divide(b3,inverse(divide(X1,sF4))),sF2),
inference(cp,[status(thm)],[t15,t11]) ).
cnf(t25,plain,
divide(divide(b3,inverse(divide(X1,sF4))),sF2) = X1,
inference(orient,[status(thm)],[t17]) ).
cnf(t26,plain,
divide(X1,inverse(divide(X2,divide(X1,sF4)))) = divide(divide(b3,inverse(X2)),sF2),
inference(cp,[status(thm)],[t25,t15]) ).
cnf(t39,plain,
divide(X1,inverse(divide(X2,divide(X1,sF4)))) = divide(divide(b3,inverse(X2)),sF2),
inference(orient,[status(thm)],[t26]) ).
cnf(t42,plain,
X1 = divide(divide(divide(b3,inverse(X1)),sF2),sF4),
inference(cp,[status(thm)],[t15,t39]) ).
cnf(t72,plain,
divide(divide(divide(b3,inverse(X1)),sF2),sF4) = X1,
inference(orient,[status(thm)],[t42]) ).
cnf(t74,plain,
c3 = divide(divide(divide(b3,sF2),sF2),sF4),
inference(cp,[status(thm)],[t72,t9]) ).
cnf(t1111,plain,
c3 = divide(divide(sF4,sF2),sF4),
inference(step,[status(thm)],[t74,t11]) ).
cnf(t102,plain,
divide(divide(sF4,sF2),sF4) = c3,
inference(orient,[status(thm)],[t1111]) ).
cnf(t255,plain,
divide(X1,b3) = divide(divide(X1,sF2),sF4),
inference(cp,[status(thm)],[t72,t226]) ).
cnf(t429,plain,
divide(divide(X1,sF2),sF4) = divide(X1,b3),
inference(orient,[status(thm)],[t255]) ).
cnf(t1133,plain,
divide(sF4,b3) = c3,
inference(step,[status(thm)],[t102,t429]) ).
cnf(t431,plain,
divide(sF4,b3) = c3,
inference(rw,[status(thm)],[t1133]) ).
cnf(t494,plain,
divide(sF4,b3) = c3,
inference(orient,[status(thm)],[t431]) ).
cnf(t1006,plain,
divide(divide(a3,inverse(sF4)),sF0) = divide(divide(divide(a3,inverse(b3)),sF0),inverse(c3)),
inference(cp,[status(thm)],[t962,t494]) ).
cnf(t1151,plain,
divide(divide(a3,sF5),sF0) = divide(divide(divide(a3,inverse(b3)),sF0),inverse(c3)),
inference(step,[status(thm)],[t1006,t12]) ).
cnf(t1152,plain,
divide(sF6,sF0) = divide(divide(divide(a3,inverse(b3)),sF0),inverse(c3)),
inference(step,[status(thm)],[t1151,t14]) ).
cnf(t57,plain,
sF4 = divide(divide(divide(a3,sF5),sF0),sF1),
inference(cp,[status(thm)],[t54,t12]) ).
cnf(t1110,plain,
sF4 = divide(divide(sF6,sF0),sF1),
inference(step,[status(thm)],[t57,t14]) ).
cnf(t66,plain,
divide(divide(sF6,sF0),sF1) = sF4,
inference(orient,[status(thm)],[t1110]) ).
cnf(t241,plain,
divide(sF6,sF0) = divide(sF1,inverse(sF4)),
inference(cp,[status(thm)],[t226,t66]) ).
cnf(t1116,plain,
divide(sF6,sF0) = divide(sF1,sF5),
inference(step,[status(thm)],[t241,t12]) ).
cnf(t267,plain,
divide(sF6,sF0) = divide(sF1,sF5),
inference(orient,[status(thm)],[t1116]) ).
cnf(t1153,plain,
divide(sF1,sF5) = divide(divide(divide(a3,inverse(b3)),sF0),inverse(c3)),
inference(step,[status(thm)],[t1152,t267]) ).
cnf(t1154,plain,
divide(sF1,sF5) = divide(divide(divide(a3,sF0),sF0),inverse(c3)),
inference(step,[status(thm)],[t1153,t8]) ).
cnf(t1155,plain,
divide(sF1,sF5) = divide(divide(sF1,sF0),inverse(c3)),
inference(step,[status(thm)],[t1154,t10]) ).
cnf(t1156,plain,
divide(sF1,sF5) = divide(divide(sF1,sF0),sF2),
inference(step,[status(thm)],[t1155,t9]) ).
cnf(t18,plain,
X1 = divide(divide(sF1,inverse(divide(X1,sF3))),sF2),
inference(cp,[status(thm)],[t15,t13]) ).
cnf(t28,plain,
divide(divide(sF1,inverse(divide(X1,sF3))),sF2) = X1,
inference(orient,[status(thm)],[t18]) ).
cnf(t29,plain,
divide(X1,inverse(divide(X2,divide(X1,sF3)))) = divide(divide(sF1,inverse(X2)),sF2),
inference(cp,[status(thm)],[t28,t15]) ).
cnf(t44,plain,
divide(X1,inverse(divide(X2,divide(X1,sF3)))) = divide(divide(sF1,inverse(X2)),sF2),
inference(orient,[status(thm)],[t29]) ).
cnf(t47,plain,
X1 = divide(divide(divide(sF1,inverse(X1)),sF2),sF3),
inference(cp,[status(thm)],[t15,t44]) ).
cnf(t114,plain,
divide(divide(divide(sF1,inverse(X1)),sF2),sF3) = X1,
inference(orient,[status(thm)],[t47]) ).
cnf(t115,plain,
b3 = divide(divide(divide(sF1,sF0),sF2),sF3),
inference(cp,[status(thm)],[t114,t8]) ).
cnf(t129,plain,
divide(divide(divide(sF1,sF0),sF2),sF3) = b3,
inference(orient,[status(thm)],[t115]) ).
cnf(t248,plain,
divide(divide(sF1,sF0),sF2) = divide(sF3,inverse(b3)),
inference(cp,[status(thm)],[t226,t129]) ).
cnf(t1126,plain,
divide(divide(sF1,sF0),sF2) = divide(sF3,sF0),
inference(step,[status(thm)],[t248,t8]) ).
cnf(t377,plain,
divide(divide(sF1,sF0),sF2) = divide(sF3,sF0),
inference(orient,[status(thm)],[t1126]) ).
cnf(t1157,plain,
divide(sF1,sF5) = divide(sF3,sF0),
inference(step,[status(thm)],[t1156,t377]) ).
cnf(t1054,plain,
divide(sF3,sF0) = divide(sF1,sF5),
inference(orient,[status(thm)],[t1157]) ).
cnf(t1065,plain,
divide(sF3,a3) = divide(divide(sF1,sF5),sF1),
inference(cp,[status(thm)],[t393,t1054]) ).
cnf(t1117,plain,
divide(divide(sF1,sF5),sF1) = sF4,
inference(step,[status(thm)],[t66,t267]) ).
cnf(t268,plain,
divide(divide(sF1,sF5),sF1) = sF4,
inference(rw,[status(thm)],[t1117]) ).
cnf(t649,plain,
divide(divide(sF1,sF5),sF1) = sF4,
inference(orient,[status(thm)],[t268]) ).
cnf(t1162,plain,
divide(sF3,a3) = sF4,
inference(step,[status(thm)],[t1065,t649]) ).
cnf(t1070,plain,
divide(sF3,a3) = sF4,
inference(orient,[status(thm)],[t1162]) ).
cnf(t1075,plain,
sF3 = divide(a3,inverse(sF4)),
inference(cp,[status(thm)],[t226,t1070]) ).
cnf(t1163,plain,
sF3 = divide(a3,sF5),
inference(step,[status(thm)],[t1075,t12]) ).
cnf(t1164,plain,
sF3 = sF6,
inference(step,[status(thm)],[t1163,t14]) ).
cnf(t1080,plain,
sF6 = sF3,
inference(orient,[status(thm)],[t1164]) ).
cnf(t1165,plain,
divide(a3,sF5) = sF3,
inference(step,[status(thm)],[t14,t1080]) ).
cnf(t1081,plain,
divide(a3,sF5) = sF3,
inference(orient,[status(thm)],[t1165]) ).
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,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(goal_0,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(g0_0,plain,
divide(divide(a3,sF0),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(rw,[status(thm)],[goal_0,t8]) ).
cnf(g0_1,plain,
divide(sF1,inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(rw,[status(thm)],[g0_0,t10]) ).
cnf(g0_2,plain,
divide(sF1,sF2) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(rw,[status(thm)],[g0_1,t9]) ).
cnf(g0_3,plain,
sF3 != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(rw,[status(thm)],[g0_2,t13]) ).
cnf(g0_4,plain,
sF3 != divide(a3,inverse(divide(b3,sF2))),
inference(rw,[status(thm)],[g0_3,t9]) ).
cnf(g0_5,plain,
sF3 != divide(a3,inverse(sF4)),
inference(rw,[status(thm)],[g0_4,t11]) ).
cnf(g0_6,plain,
sF3 != divide(a3,sF5),
inference(rw,[status(thm)],[g0_5,t12]) ).
cnf(g0_7,plain,
sF3 != sF3,
inference(rw,[status(thm)],[g0_6,t1081]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP555-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.39 % Computer : n006.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Wed Sep 23 15:03:49 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.78/6.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.78/6.16 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------