%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP527-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 01:27:27 PM UTC 2026
% Result : Unsatisfiable 5.02s 1.29s
% Output : CNFRefutation 5.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 4
% Syntax : Number of clauses : 73 ( 73 unt; 0 nHn; 3 RR)
% Number of literals : 73 ( 72 equ; 2 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 160 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
inference(orient,[status(thm)],[t2]) ).
cnf(t0,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t15,plain,
divide(divide(X1,X1),X2) = inverse(X2),
inference(orient,[status(thm)],[t0]) ).
cnf(t544,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t7,t15]) ).
cnf(t21,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(rw,[status(thm)],[t544]) ).
cnf(t22,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t21]) ).
cnf(t1,axiom,
divide(X1,divide(divide(X1,X2),divide(X3,X2))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t3,plain,
divide(X1,divide(divide(X1,X2),divide(X3,X2))) = X3,
inference(orient,[status(thm)],[t1]) ).
cnf(t18,plain,
X1 = divide(X2,inverse(divide(X1,X2))),
inference(cp,[status(thm)],[t3,t15]) ).
cnf(t545,plain,
X1 = multiply(X2,divide(X1,X2)),
inference(step,[status(thm)],[t18,t22]) ).
cnf(t30,plain,
multiply(X1,divide(X2,X1)) = X2,
inference(orient,[status(thm)],[t545]) ).
cnf(t34,plain,
divide(X1,X1) = multiply(X2,inverse(X2)),
inference(cp,[status(thm)],[t30,t15]) ).
cnf(t70,plain,
divide(X1,X1) = multiply(X2,inverse(X2)),
inference(orient,[status(thm)],[t34]) ).
cnf(t87,plain,
divide(X1,X1) = divide(X2,X2),
inference(cp,[status(thm)],[t70,t70]) ).
cnf(t88,plain,
divide(X1,X1) = divide(X2,X2),
inference(orient,[status(thm)],[t87]) ).
cnf(t95,plain,
X1 = divide(X1,divide(X2,X2)),
inference(cp,[status(thm)],[t3,t88]) ).
cnf(t119,plain,
divide(X1,divide(X2,X2)) = X1,
inference(orient,[status(thm)],[t95]) ).
cnf(t127,plain,
X1 = multiply(divide(X2,X2),X1),
inference(cp,[status(thm)],[t30,t119]) ).
cnf(t23,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(cp,[status(thm)],[t22,t15]) ).
cnf(t27,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t23]) ).
cnf(t549,plain,
X1 = inverse(inverse(X1)),
inference(step,[status(thm)],[t127,t27]) ).
cnf(t131,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t549]) ).
cnf(t138,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(cp,[status(thm)],[t22,t131]) ).
cnf(t142,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t138]) ).
cnf(t33,plain,
X1 = multiply(inverse(X2),multiply(X1,X2)),
inference(cp,[status(thm)],[t30,t22]) ).
cnf(t35,plain,
multiply(inverse(X1),multiply(X2,X1)) = X2,
inference(orient,[status(thm)],[t33]) ).
cnf(t36,plain,
X1 = multiply(inverse(divide(X2,X1)),X2),
inference(cp,[status(thm)],[t35,t30]) ).
cnf(t39,plain,
multiply(inverse(divide(X1,X2)),X1) = X2,
inference(orient,[status(thm)],[t36]) ).
cnf(t43,plain,
inverse(divide(X1,X2)) = multiply(inverse(X1),X2),
inference(cp,[status(thm)],[t35,t39]) ).
cnf(t44,plain,
inverse(divide(X1,X2)) = multiply(inverse(X1),X2),
inference(orient,[status(thm)],[t43]) ).
cnf(t546,plain,
multiply(multiply(inverse(X1),X2),X1) = X2,
inference(step,[status(thm)],[t39,t44]) ).
cnf(t50,plain,
multiply(multiply(inverse(X1),X2),X1) = X2,
inference(rw,[status(thm)],[t546]) ).
cnf(t51,plain,
multiply(multiply(inverse(X1),X2),X1) = X2,
inference(orient,[status(thm)],[t50]) ).
cnf(t144,plain,
divide(multiply(inverse(inverse(X1)),X2),X1) = X2,
inference(cp,[status(thm)],[t142,t51]) ).
cnf(t554,plain,
divide(multiply(X1,X2),X1) = X2,
inference(step,[status(thm)],[t144,t131]) ).
cnf(t159,plain,
divide(multiply(X1,X2),X1) = X2,
inference(orient,[status(thm)],[t554]) ).
cnf(t128,plain,
X1 = divide(X2,divide(X2,X1)),
inference(cp,[status(thm)],[t3,t119]) ).
cnf(t149,plain,
divide(X1,divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t128]) ).
cnf(t156,plain,
X1 = multiply(divide(X1,X2),X2),
inference(cp,[status(thm)],[t30,t149]) ).
cnf(t166,plain,
multiply(divide(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t156]) ).
cnf(t173,plain,
divide(X1,X2) = multiply(inverse(X2),X1),
inference(cp,[status(thm)],[t35,t166]) ).
cnf(t175,plain,
multiply(inverse(X1),X2) = divide(X2,X1),
inference(orient,[status(thm)],[t173]) ).
cnf(t555,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(step,[status(thm)],[t44,t175]) ).
cnf(t176,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(orient,[status(thm)],[t555]) ).
cnf(t180,plain,
divide(X1,divide(X2,X3)) = multiply(divide(X3,X2),X1),
inference(cp,[status(thm)],[t175,t176]) ).
cnf(t240,plain,
divide(X1,divide(X2,X3)) = multiply(divide(X3,X2),X1),
inference(orient,[status(thm)],[t180]) ).
cnf(t561,plain,
multiply(divide(divide(X3,X2),divide(X1,X2)),X1) = X3,
inference(step,[status(thm)],[t3,t240]) ).
cnf(t562,plain,
multiply(multiply(divide(X2,X1),divide(X3,X2)),X1) = X3,
inference(step,[status(thm)],[t561,t240]) ).
cnf(t256,plain,
multiply(multiply(divide(X2,X1),divide(X3,X2)),X1) = X3,
inference(rw,[status(thm)],[t562]) ).
cnf(t46,plain,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X1,X2)),
inference(cp,[status(thm)],[t44,t22]) ).
cnf(t53,plain,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X1,X2)),
inference(orient,[status(thm)],[t46]) ).
cnf(t553,plain,
divide(inverse(X1),X2) = inverse(multiply(X1,X2)),
inference(step,[status(thm)],[t53,t142]) ).
cnf(t148,plain,
divide(inverse(X1),X2) = inverse(multiply(X1,X2)),
inference(rw,[status(thm)],[t553]) ).
cnf(t191,plain,
inverse(multiply(X1,X2)) = divide(inverse(X1),X2),
inference(orient,[status(thm)],[t148]) ).
cnf(t197,plain,
multiply(X1,multiply(X2,X3)) = divide(X1,divide(inverse(X2),X3)),
inference(cp,[status(thm)],[t22,t191]) ).
cnf(t563,plain,
multiply(X1,multiply(X2,X3)) = multiply(divide(X3,inverse(X2)),X1),
inference(step,[status(thm)],[t197,t240]) ).
cnf(t564,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X3,X2),X1),
inference(step,[status(thm)],[t563,t22]) ).
cnf(t287,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X3,X2),X1),
inference(orient,[status(thm)],[t564]) ).
cnf(t565,plain,
multiply(X1,multiply(divide(X3,X2),divide(X2,X1))) = X3,
inference(step,[status(thm)],[t256,t287]) ).
cnf(t407,plain,
multiply(X1,multiply(divide(X2,X3),divide(X3,X1))) = X2,
inference(orient,[status(thm)],[t565]) ).
cnf(t163,plain,
X1 = divide(multiply(X1,X2),X2),
inference(cp,[status(thm)],[t149,t159]) ).
cnf(t184,plain,
divide(multiply(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t163]) ).
cnf(t421,plain,
multiply(X1,X2) = multiply(X3,multiply(X1,divide(X2,X3))),
inference(cp,[status(thm)],[t407,t184]) ).
cnf(t442,plain,
multiply(X1,multiply(X2,divide(X3,X1))) = multiply(X2,X3),
inference(orient,[status(thm)],[t421]) ).
cnf(t466,plain,
multiply(X1,divide(X2,X3)) = divide(multiply(X1,X2),X3),
inference(cp,[status(thm)],[t159,t442]) ).
cnf(t499,plain,
divide(multiply(X1,X2),X3) = multiply(X1,divide(X2,X3)),
inference(orient,[status(thm)],[t466]) ).
cnf(t503,plain,
multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X1,X2),X3),
inference(cp,[status(thm)],[t499,t22]) ).
cnf(t570,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3),
inference(step,[status(thm)],[t503,t22]) ).
cnf(t526,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t570]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[goal_0,t526]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP527-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 14:59:27 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.02/1.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.02/1.29 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------