%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP465-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 01:26:56 PM UTC 2026
% Result : Unsatisfiable 5.83s 1.37s
% Output : CNFRefutation 5.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 5
% Syntax : Number of clauses : 82 ( 82 unt; 0 nHn; 5 RR)
% Number of literals : 82 ( 81 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 154 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
divide(X1,divide(divide(divide(divide(X1,X1),X2),X3),divide(divide(identity,X1),X3))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,plain,
divide(X1,divide(divide(divide(divide(X1,X1),X2),X3),divide(divide(identity,X1),X3))) = X2,
inference(orient,[status(thm)],[t3]) ).
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(t347,plain,
divide(X1,divide(divide(divide(identity,X2),X3),divide(divide(identity,X1),X3))) = X2,
inference(step,[status(thm)],[t4,t9]) ).
cnf(t10,plain,
divide(X1,divide(divide(divide(identity,X2),X3),divide(divide(identity,X1),X3))) = X2,
inference(rw,[status(thm)],[t347]) ).
cnf(t1,axiom,
divide(identity,X1) = inverse(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t15,plain,
divide(identity,X1) = inverse(X1),
inference(orient,[status(thm)],[t1]) ).
cnf(t350,plain,
divide(X1,divide(divide(inverse(X2),X3),divide(divide(identity,X1),X3))) = X2,
inference(step,[status(thm)],[t10,t15]) ).
cnf(t351,plain,
divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2,
inference(step,[status(thm)],[t350,t15]) ).
cnf(t47,plain,
divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2,
inference(orient,[status(thm)],[t351]) ).
cnf(t50,plain,
X1 = divide(X2,divide(identity,divide(inverse(X2),inverse(X1)))),
inference(cp,[status(thm)],[t47,t9]) ).
cnf(t355,plain,
X1 = divide(X2,inverse(divide(inverse(X2),inverse(X1)))),
inference(step,[status(thm)],[t50,t15]) ).
cnf(t2,axiom,
divide(X1,divide(identity,X2)) = multiply(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
divide(X1,divide(identity,X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t2]) ).
cnf(t348,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(step,[status(thm)],[t11,t15]) ).
cnf(t17,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[t348]) ).
cnf(t19,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t17]) ).
cnf(t356,plain,
X1 = multiply(X2,divide(inverse(X2),inverse(X1))),
inference(step,[status(thm)],[t355,t19]) ).
cnf(t357,plain,
X1 = multiply(X2,multiply(inverse(X2),X1)),
inference(step,[status(thm)],[t356,t19]) ).
cnf(t69,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(orient,[status(thm)],[t357]) ).
cnf(t21,plain,
multiply(identity,X1) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t19,t15]) ).
cnf(t23,plain,
inverse(inverse(X1)) = multiply(identity,X1),
inference(orient,[status(thm)],[t21]) ).
cnf(t49,plain,
X1 = divide(X1,identity),
inference(cp,[status(thm)],[t47,t9]) ).
cnf(t16,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[t15,t9]) ).
cnf(t18,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t16]) ).
cnf(t22,plain,
multiply(X1,identity) = divide(X1,identity),
inference(cp,[status(thm)],[t19,t18]) ).
cnf(t28,plain,
divide(X1,identity) = multiply(X1,identity),
inference(orient,[status(thm)],[t22]) ).
cnf(t352,plain,
X1 = multiply(X1,identity),
inference(step,[status(thm)],[t49,t28]) ).
cnf(t66,plain,
multiply(X1,identity) = X1,
inference(orient,[status(thm)],[t352]) ).
cnf(t70,plain,
identity = multiply(X1,inverse(X1)),
inference(cp,[status(thm)],[t69,t66]) ).
cnf(t81,plain,
multiply(X1,inverse(X1)) = identity,
inference(orient,[status(thm)],[t70]) ).
cnf(t84,plain,
inverse(inverse(X1)) = multiply(X1,identity),
inference(cp,[status(thm)],[t69,t81]) ).
cnf(t358,plain,
multiply(identity,X1) = multiply(X1,identity),
inference(step,[status(thm)],[t84,t23]) ).
cnf(t359,plain,
multiply(identity,X1) = X1,
inference(step,[status(thm)],[t358,t66]) ).
cnf(t85,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t359]) ).
cnf(t360,plain,
inverse(inverse(X1)) = X1,
inference(step,[status(thm)],[t23,t85]) ).
cnf(t86,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t360]) ).
cnf(t48,plain,
X1 = inverse(divide(divide(inverse(X1),X2),divide(inverse(identity),X2))),
inference(cp,[status(thm)],[t47,t15]) ).
cnf(t364,plain,
X1 = inverse(divide(divide(inverse(X1),X2),divide(identity,X2))),
inference(step,[status(thm)],[t48,t18]) ).
cnf(t365,plain,
X1 = inverse(divide(divide(inverse(X1),X2),inverse(X2))),
inference(step,[status(thm)],[t364,t15]) ).
cnf(t366,plain,
X1 = inverse(multiply(divide(inverse(X1),X2),X2)),
inference(step,[status(thm)],[t365,t19]) ).
cnf(t98,plain,
inverse(multiply(divide(inverse(X1),X2),X2)) = X1,
inference(orient,[status(thm)],[t366]) ).
cnf(t102,plain,
inverse(X1) = inverse(multiply(divide(X1,X2),X2)),
inference(cp,[status(thm)],[t98,t86]) ).
cnf(t114,plain,
inverse(multiply(divide(X1,X2),X2)) = inverse(X1),
inference(orient,[status(thm)],[t102]) ).
cnf(t123,plain,
multiply(divide(X1,X2),X2) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t86,t114]) ).
cnf(t367,plain,
multiply(divide(X1,X2),X2) = X1,
inference(step,[status(thm)],[t123,t86]) ).
cnf(t128,plain,
multiply(divide(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t367]) ).
cnf(t25,plain,
multiply(X1,inverse(X2)) = divide(X1,multiply(identity,X2)),
inference(cp,[status(thm)],[t19,t23]) ).
cnf(t37,plain,
divide(X1,multiply(identity,X2)) = multiply(X1,inverse(X2)),
inference(orient,[status(thm)],[t25]) ).
cnf(t362,plain,
divide(X1,X2) = multiply(X1,inverse(X2)),
inference(step,[status(thm)],[t37,t85]) ).
cnf(t88,plain,
divide(X1,X2) = multiply(X1,inverse(X2)),
inference(rw,[status(thm)],[t362]) ).
cnf(t89,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t88]) ).
cnf(t129,plain,
X1 = divide(divide(X1,inverse(X2)),X2),
inference(cp,[status(thm)],[t128,t89]) ).
cnf(t368,plain,
X1 = divide(multiply(X1,X2),X2),
inference(step,[status(thm)],[t129,t19]) ).
cnf(t133,plain,
divide(multiply(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t368]) ).
cnf(t90,plain,
inverse(X1) = multiply(X2,divide(inverse(X2),X1)),
inference(cp,[status(thm)],[t69,t89]) ).
cnf(t91,plain,
multiply(X1,divide(inverse(X1),X2)) = inverse(X2),
inference(orient,[status(thm)],[t90]) ).
cnf(t93,plain,
inverse(X1) = multiply(inverse(X2),divide(X2,X1)),
inference(cp,[status(thm)],[t91,t86]) ).
cnf(t94,plain,
multiply(inverse(X1),divide(X1,X2)) = inverse(X2),
inference(orient,[status(thm)],[t93]) ).
cnf(t96,plain,
inverse(inverse(X1)) = multiply(inverse(X2),multiply(X2,X1)),
inference(cp,[status(thm)],[t94,t19]) ).
cnf(t363,plain,
X1 = multiply(inverse(X2),multiply(X2,X1)),
inference(step,[status(thm)],[t96,t86]) ).
cnf(t97,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(orient,[status(thm)],[t363]) ).
cnf(t136,plain,
inverse(X1) = divide(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t133,t97]) ).
cnf(t139,plain,
divide(X1,multiply(X2,X1)) = inverse(X2),
inference(orient,[status(thm)],[t136]) ).
cnf(t141,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(cp,[status(thm)],[t139,t128]) ).
cnf(t146,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(orient,[status(thm)],[t141]) ).
cnf(t149,plain,
multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)),
inference(cp,[status(thm)],[t19,t146]) ).
cnf(t175,plain,
divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
inference(orient,[status(thm)],[t149]) ).
cnf(t370,plain,
multiply(X1,divide(divide(inverse(X1),X3),divide(inverse(X2),X3))) = X2,
inference(step,[status(thm)],[t47,t175]) ).
cnf(t371,plain,
multiply(X1,multiply(divide(inverse(X1),X3),divide(X3,inverse(X2)))) = X2,
inference(step,[status(thm)],[t370,t175]) ).
cnf(t372,plain,
multiply(X1,multiply(divide(inverse(X1),X3),multiply(X3,X2))) = X2,
inference(step,[status(thm)],[t371,t19]) ).
cnf(t181,plain,
multiply(X1,multiply(divide(inverse(X1),X3),multiply(X3,X2))) = X2,
inference(rw,[status(thm)],[t372]) ).
cnf(t273,plain,
multiply(X1,multiply(divide(inverse(X1),X2),multiply(X2,X3))) = X3,
inference(orient,[status(thm)],[t181]) ).
cnf(t297,plain,
multiply(divide(inverse(inverse(X1)),X2),multiply(X2,X3)) = multiply(X1,X3),
inference(cp,[status(thm)],[t69,t273]) ).
cnf(t373,plain,
multiply(divide(X1,X2),multiply(X2,X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t297,t86]) ).
cnf(t308,plain,
multiply(divide(X1,X2),multiply(X2,X3)) = multiply(X1,X3),
inference(orient,[status(thm)],[t373]) ).
cnf(t314,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(cp,[status(thm)],[t308,t133]) ).
cnf(t333,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t314]) ).
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,t333]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP465-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 14:45:16 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.83/1.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.83/1.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------