%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP453-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.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 01:26:54 PM UTC 2026
% Result : Unsatisfiable 3.65s 1.07s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 4
% Syntax : Number of clauses : 91 ( 91 unt; 0 nHn; 3 RR)
% Number of literals : 91 ( 90 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 202 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
divide(divide(divide(X1,X1),divide(X1,divide(X2,divide(divide(divide(X1,X1),X1),X3)))),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t3,plain,
divide(divide(divide(X1,X1),divide(X1,divide(X2,divide(divide(divide(X1,X1),X1),X3)))),X3) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t0,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t15,plain,
divide(divide(X1,X1),X2) = inverse(X2),
inference(orient,[status(thm)],[t0]) ).
cnf(t1058,plain,
divide(inverse(divide(X1,divide(X2,divide(divide(divide(X1,X1),X1),X3)))),X3) = X2,
inference(step,[status(thm)],[t3,t15]) ).
cnf(t1059,plain,
divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3) = X2,
inference(step,[status(thm)],[t1058,t15]) ).
cnf(t18,plain,
divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3) = X2,
inference(rw,[status(thm)],[t1059]) ).
cnf(t285,plain,
divide(inverse(divide(X1,divide(X2,divide(inverse(X1),X3)))),X3) = X2,
inference(orient,[status(thm)],[t18]) ).
cnf(t16,plain,
inverse(X1) = divide(inverse(divide(X2,X2)),X1),
inference(cp,[status(thm)],[t15,t15]) ).
cnf(t25,plain,
divide(inverse(divide(X1,X1)),X2) = inverse(X2),
inference(orient,[status(thm)],[t16]) ).
cnf(t28,plain,
inverse(X1) = divide(inverse(inverse(divide(X2,X2))),X1),
inference(cp,[status(thm)],[t25,t15]) ).
cnf(t52,plain,
divide(inverse(inverse(divide(X1,X1))),X2) = inverse(X2),
inference(orient,[status(thm)],[t28]) ).
cnf(t56,plain,
inverse(X1) = divide(inverse(inverse(inverse(inverse(divide(X2,X2))))),X1),
inference(cp,[status(thm)],[t52,t25]) ).
cnf(t148,plain,
divide(inverse(inverse(inverse(inverse(divide(X1,X1))))),X2) = inverse(X2),
inference(orient,[status(thm)],[t56]) ).
cnf(t288,plain,
X1 = divide(inverse(inverse(divide(X1,divide(inverse(inverse(inverse(inverse(inverse(divide(X2,X2)))))),X3)))),X3),
inference(cp,[status(thm)],[t285,t148]) ).
cnf(t63,plain,
inverse(X1) = divide(inverse(inverse(inverse(inverse(inverse(divide(X2,X2)))))),X1),
inference(cp,[status(thm)],[t52,t52]) ).
cnf(t220,plain,
divide(inverse(inverse(inverse(inverse(inverse(divide(X1,X1)))))),X2) = inverse(X2),
inference(orient,[status(thm)],[t63]) ).
cnf(t1060,plain,
X1 = divide(inverse(inverse(divide(X1,inverse(X3)))),X3),
inference(step,[status(thm)],[t288,t220]) ).
cnf(t1,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t5,plain,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
inference(orient,[status(thm)],[t1]) ).
cnf(t1057,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t5,t15]) ).
cnf(t17,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(rw,[status(thm)],[t1057]) ).
cnf(t19,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t17]) ).
cnf(t1061,plain,
X1 = divide(inverse(inverse(multiply(X1,X3))),X3),
inference(step,[status(thm)],[t1060,t19]) ).
cnf(t321,plain,
divide(inverse(inverse(multiply(X1,X2))),X2) = X1,
inference(orient,[status(thm)],[t1061]) ).
cnf(t322,plain,
X1 = multiply(inverse(inverse(multiply(X1,inverse(X2)))),X2),
inference(cp,[status(thm)],[t321,t19]) ).
cnf(t336,plain,
multiply(inverse(inverse(multiply(X1,inverse(X2)))),X2) = X1,
inference(orient,[status(thm)],[t322]) ).
cnf(t348,plain,
inverse(inverse(multiply(X1,inverse(X2)))) = divide(inverse(inverse(X1)),X2),
inference(cp,[status(thm)],[t321,t336]) ).
cnf(t350,plain,
inverse(inverse(multiply(X1,inverse(X2)))) = divide(inverse(inverse(X1)),X2),
inference(orient,[status(thm)],[t348]) ).
cnf(t367,plain,
X1 = divide(divide(inverse(inverse(X1)),X2),inverse(X2)),
inference(cp,[status(thm)],[t321,t350]) ).
cnf(t1064,plain,
X1 = multiply(divide(inverse(inverse(X1)),X2),X2),
inference(step,[status(thm)],[t367,t19]) ).
cnf(t393,plain,
multiply(divide(inverse(inverse(X1)),X2),X2) = X1,
inference(orient,[status(thm)],[t1064]) ).
cnf(t20,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(cp,[status(thm)],[t19,t15]) ).
cnf(t22,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t20]) ).
cnf(t394,plain,
X1 = inverse(inverse(inverse(inverse(X1)))),
inference(cp,[status(thm)],[t393,t22]) ).
cnf(t406,plain,
inverse(inverse(inverse(inverse(X1)))) = X1,
inference(orient,[status(thm)],[t394]) ).
cnf(t413,plain,
inverse(inverse(X1)) = multiply(divide(X1,X2),X2),
inference(cp,[status(thm)],[t393,t406]) ).
cnf(t418,plain,
multiply(divide(X1,X2),X2) = inverse(inverse(X1)),
inference(orient,[status(thm)],[t413]) ).
cnf(t421,plain,
inverse(inverse(inverse(inverse(divide(X1,X1))))) = multiply(inverse(X2),X2),
inference(cp,[status(thm)],[t418,t52]) ).
cnf(t1065,plain,
divide(X1,X1) = multiply(inverse(X2),X2),
inference(step,[status(thm)],[t421,t406]) ).
cnf(t429,plain,
divide(X1,X1) = multiply(inverse(X2),X2),
inference(orient,[status(thm)],[t1065]) ).
cnf(t24,plain,
inverse(inverse(X1)) = multiply(inverse(divide(X2,X2)),X1),
inference(cp,[status(thm)],[t22,t15]) ).
cnf(t38,plain,
multiply(inverse(divide(X1,X1)),X2) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t24]) ).
cnf(t41,plain,
inverse(inverse(X1)) = multiply(inverse(inverse(inverse(divide(X2,X2)))),X1),
inference(cp,[status(thm)],[t38,t25]) ).
cnf(t118,plain,
multiply(inverse(inverse(inverse(divide(X1,X1)))),X2) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t41]) ).
cnf(t447,plain,
divide(X1,X1) = inverse(inverse(inverse(inverse(divide(X2,X2))))),
inference(cp,[status(thm)],[t429,t118]) ).
cnf(t1066,plain,
divide(X1,X1) = divide(X2,X2),
inference(step,[status(thm)],[t447,t406]) ).
cnf(t462,plain,
divide(X1,X1) = divide(X2,X2),
inference(orient,[status(thm)],[t1066]) ).
cnf(t469,plain,
divide(inverse(X1),X2) = divide(inverse(divide(X1,divide(X3,X3))),X2),
inference(cp,[status(thm)],[t285,t462]) ).
cnf(t573,plain,
divide(inverse(divide(X1,divide(X2,X2))),X3) = divide(inverse(X1),X3),
inference(orient,[status(thm)],[t469]) ).
cnf(t596,plain,
inverse(divide(X1,divide(X2,X2))) = divide(inverse(divide(X3,divide(inverse(X1),divide(inverse(X3),Y3)))),Y3),
inference(cp,[status(thm)],[t285,t573]) ).
cnf(t1069,plain,
inverse(divide(X1,divide(X2,X2))) = inverse(X1),
inference(step,[status(thm)],[t596,t285]) ).
cnf(t599,plain,
inverse(divide(X1,divide(X2,X2))) = inverse(X1),
inference(orient,[status(thm)],[t1069]) ).
cnf(t616,plain,
divide(X1,divide(X2,X2)) = inverse(inverse(inverse(inverse(X1)))),
inference(cp,[status(thm)],[t406,t599]) ).
cnf(t1070,plain,
divide(X1,divide(X2,X2)) = X1,
inference(step,[status(thm)],[t616,t406]) ).
cnf(t625,plain,
divide(X1,divide(X2,X2)) = X1,
inference(orient,[status(thm)],[t1070]) ).
cnf(t628,plain,
inverse(divide(X1,divide(X2,divide(inverse(X1),divide(X3,X3))))) = X2,
inference(cp,[status(thm)],[t625,t285]) ).
cnf(t1090,plain,
inverse(divide(X1,divide(X2,inverse(X1)))) = X2,
inference(step,[status(thm)],[t628,t625]) ).
cnf(t1091,plain,
inverse(divide(X1,multiply(X2,X1))) = X2,
inference(step,[status(thm)],[t1090,t19]) ).
cnf(t678,plain,
inverse(divide(X1,multiply(X2,X1))) = X2,
inference(orient,[status(thm)],[t1091]) ).
cnf(t634,plain,
X1 = divide(X1,inverse(divide(X2,X2))),
inference(cp,[status(thm)],[t625,t15]) ).
cnf(t1071,plain,
X1 = multiply(X1,divide(X2,X2)),
inference(step,[status(thm)],[t634,t19]) ).
cnf(t642,plain,
multiply(X1,divide(X2,X2)) = X1,
inference(orient,[status(thm)],[t1071]) ).
cnf(t644,plain,
divide(X1,divide(X2,X2)) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t642,t418]) ).
cnf(t1072,plain,
X1 = inverse(inverse(X1)),
inference(step,[status(thm)],[t644,t625]) ).
cnf(t653,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t1072]) ).
cnf(t1075,plain,
multiply(divide(X1,X2),X2) = X1,
inference(step,[status(thm)],[t418,t653]) ).
cnf(t656,plain,
multiply(divide(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t1075]) ).
cnf(t681,plain,
divide(X1,X2) = inverse(divide(X2,X1)),
inference(cp,[status(thm)],[t678,t656]) ).
cnf(t687,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(orient,[status(thm)],[t681]) ).
cnf(t1093,plain,
divide(divide(divide(X2,divide(inverse(X1),X3)),X1),X3) = X2,
inference(step,[status(thm)],[t285,t687]) ).
cnf(t696,plain,
divide(divide(divide(X2,divide(inverse(X1),X3)),X1),X3) = X2,
inference(rw,[status(thm)],[t1093]) ).
cnf(t662,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(cp,[status(thm)],[t19,t653]) ).
cnf(t671,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t662]) ).
cnf(t692,plain,
divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
inference(cp,[status(thm)],[t671,t687]) ).
cnf(t735,plain,
divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
inference(orient,[status(thm)],[t692]) ).
cnf(t1094,plain,
divide(divide(multiply(X2,divide(X3,inverse(X1))),X1),X3) = X2,
inference(step,[status(thm)],[t696,t735]) ).
cnf(t1095,plain,
divide(divide(multiply(X2,multiply(X3,X1)),X1),X3) = X2,
inference(step,[status(thm)],[t1094,t19]) ).
cnf(t959,plain,
divide(divide(multiply(X1,multiply(X2,X3)),X3),X2) = X1,
inference(orient,[status(thm)],[t1095]) ).
cnf(t969,plain,
divide(X1,multiply(X2,X3)) = divide(divide(X1,X3),X2),
inference(cp,[status(thm)],[t959,t656]) ).
cnf(t993,plain,
divide(divide(X1,X2),X3) = divide(X1,multiply(X3,X2)),
inference(orient,[status(thm)],[t969]) ).
cnf(t1008,plain,
divide(X1,multiply(X2,inverse(X3))) = divide(multiply(X1,X3),X2),
inference(cp,[status(thm)],[t993,t19]) ).
cnf(t1099,plain,
divide(X1,divide(X2,X3)) = divide(multiply(X1,X3),X2),
inference(step,[status(thm)],[t1008,t671]) ).
cnf(t1100,plain,
multiply(X1,divide(X3,X2)) = divide(multiply(X1,X3),X2),
inference(step,[status(thm)],[t1099,t735]) ).
cnf(t1025,plain,
divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)),
inference(orient,[status(thm)],[t1100]) ).
cnf(t1030,plain,
multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X1,X2),X3),
inference(cp,[status(thm)],[t1025,t19]) ).
cnf(t1101,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3),
inference(step,[status(thm)],[t1030,t19]) ).
cnf(t1047,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t1101]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[goal_0,t1047]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP453-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 14:49:19 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.65/1.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.65/1.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------