%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP543-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n007.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 01:27:29 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.83s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 5
% Syntax : Number of clauses : 85 ( 85 unt; 0 nHn; 9 RR)
% Number of literals : 85 ( 84 equ; 3 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 : 164 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
divide(divide(identity,divide(divide(divide(X1,X2),X3),X1)),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,plain,
divide(divide(identity,divide(divide(divide(X1,X2),X3),X1)),X3) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t1,axiom,
divide(identity,X1) = inverse(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t18,plain,
divide(identity,X1) = inverse(X1),
inference(orient,[status(thm)],[t1]) ).
cnf(t360,plain,
divide(inverse(divide(divide(divide(X1,X2),X3),X1)),X3) = X2,
inference(step,[status(thm)],[t4,t18]) ).
cnf(t21,plain,
divide(inverse(divide(divide(divide(X1,X2),X3),X1)),X3) = X2,
inference(rw,[status(thm)],[t360]) ).
cnf(t45,plain,
divide(inverse(divide(divide(divide(X1,X2),X3),X1)),X3) = X2,
inference(orient,[status(thm)],[t21]) ).
cnf(t0,axiom,
divide(X1,X1) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
divide(X1,X1) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t52,plain,
X1 = divide(inverse(divide(identity,X2)),divide(X2,X1)),
inference(cp,[status(thm)],[t45,t7]) ).
cnf(t362,plain,
X1 = divide(inverse(inverse(X2)),divide(X2,X1)),
inference(step,[status(thm)],[t52,t18]) ).
cnf(t2,axiom,
divide(X1,divide(identity,X2)) = multiply(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
divide(X1,divide(identity,X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t2]) ).
cnf(t359,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(step,[status(thm)],[t10,t18]) ).
cnf(t20,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[t359]) ).
cnf(t23,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t20]) ).
cnf(t25,plain,
multiply(identity,X1) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t23,t18]) ).
cnf(t27,plain,
inverse(inverse(X1)) = multiply(identity,X1),
inference(orient,[status(thm)],[t25]) ).
cnf(t363,plain,
X1 = divide(multiply(identity,X2),divide(X2,X1)),
inference(step,[status(thm)],[t362,t27]) ).
cnf(t62,plain,
divide(multiply(identity,X1),divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t363]) ).
cnf(t19,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[t18,t7]) ).
cnf(t22,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t19]) ).
cnf(t28,plain,
multiply(identity,identity) = inverse(identity),
inference(cp,[status(thm)],[t27,t22]) ).
cnf(t361,plain,
multiply(identity,identity) = identity,
inference(step,[status(thm)],[t28,t22]) ).
cnf(t31,plain,
multiply(identity,identity) = identity,
inference(orient,[status(thm)],[t361]) ).
cnf(t63,plain,
X1 = divide(identity,divide(identity,X1)),
inference(cp,[status(thm)],[t62,t31]) ).
cnf(t364,plain,
X1 = inverse(divide(identity,X1)),
inference(step,[status(thm)],[t63,t18]) ).
cnf(t365,plain,
X1 = inverse(inverse(X1)),
inference(step,[status(thm)],[t364,t18]) ).
cnf(t366,plain,
X1 = multiply(identity,X1),
inference(step,[status(thm)],[t365,t27]) ).
cnf(t72,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t366]) ).
cnf(t369,plain,
divide(X1,divide(X1,X2)) = X2,
inference(step,[status(thm)],[t62,t72]) ).
cnf(t75,plain,
divide(X1,divide(X1,X2)) = X2,
inference(rw,[status(thm)],[t369]) ).
cnf(t80,plain,
divide(X1,divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t75]) ).
cnf(t83,plain,
inverse(X1) = divide(X2,multiply(X2,X1)),
inference(cp,[status(thm)],[t80,t23]) ).
cnf(t90,plain,
divide(X1,multiply(X1,X2)) = inverse(X2),
inference(orient,[status(thm)],[t83]) ).
cnf(t56,plain,
X1 = divide(inverse(divide(divide(identity,X2),X1)),X2),
inference(cp,[status(thm)],[t45,t7]) ).
cnf(t375,plain,
X1 = divide(inverse(divide(inverse(X2),X1)),X2),
inference(step,[status(thm)],[t56,t18]) ).
cnf(t93,plain,
divide(inverse(divide(inverse(X1),X2)),X1) = X2,
inference(orient,[status(thm)],[t375]) ).
cnf(t96,plain,
multiply(inverse(X1),X2) = divide(inverse(inverse(X2)),X1),
inference(cp,[status(thm)],[t93,t90]) ).
cnf(t367,plain,
inverse(inverse(X1)) = X1,
inference(step,[status(thm)],[t27,t72]) ).
cnf(t73,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t367]) ).
cnf(t376,plain,
multiply(inverse(X1),X2) = divide(X2,X1),
inference(step,[status(thm)],[t96,t73]) ).
cnf(t103,plain,
multiply(inverse(X1),X2) = divide(X2,X1),
inference(orient,[status(thm)],[t376]) ).
cnf(t106,plain,
inverse(X1) = divide(inverse(X2),divide(X1,X2)),
inference(cp,[status(thm)],[t90,t103]) ).
cnf(t114,plain,
divide(inverse(X1),divide(X2,X1)) = inverse(X2),
inference(orient,[status(thm)],[t106]) ).
cnf(t115,plain,
inverse(X1) = divide(inverse(divide(X1,X2)),X2),
inference(cp,[status(thm)],[t114,t80]) ).
cnf(t118,plain,
divide(inverse(divide(X1,X2)),X2) = inverse(X1),
inference(orient,[status(thm)],[t115]) ).
cnf(t119,plain,
inverse(divide(divide(X1,X2),X1)) = X2,
inference(cp,[status(thm)],[t118,t45]) ).
cnf(t123,plain,
inverse(divide(divide(X1,X2),X1)) = X2,
inference(orient,[status(thm)],[t119]) ).
cnf(t127,plain,
divide(X1,X2) = inverse(divide(X2,X1)),
inference(cp,[status(thm)],[t123,t80]) ).
cnf(t139,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(orient,[status(thm)],[t127]) ).
cnf(t381,plain,
divide(divide(X1,divide(divide(X1,X2),X3)),X3) = X2,
inference(step,[status(thm)],[t45,t139]) ).
cnf(t151,plain,
divide(divide(X1,divide(divide(X1,X2),X3)),X3) = X2,
inference(rw,[status(thm)],[t381]) ).
cnf(t145,plain,
multiply(X1,divide(X2,X3)) = divide(X1,divide(X3,X2)),
inference(cp,[status(thm)],[t23,t139]) ).
cnf(t193,plain,
divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
inference(orient,[status(thm)],[t145]) ).
cnf(t390,plain,
divide(multiply(X1,divide(X3,divide(X1,X2))),X3) = X2,
inference(step,[status(thm)],[t151,t193]) ).
cnf(t391,plain,
divide(multiply(X1,multiply(X3,divide(X2,X1))),X3) = X2,
inference(step,[status(thm)],[t390,t193]) ).
cnf(t236,plain,
divide(multiply(X1,multiply(X2,divide(X3,X1))),X2) = X3,
inference(orient,[status(thm)],[t391]) ).
cnf(t142,plain,
divide(divide(X1,X2),X1) = inverse(X2),
inference(cp,[status(thm)],[t139,t80]) ).
cnf(t181,plain,
divide(divide(X1,X2),X1) = inverse(X2),
inference(orient,[status(thm)],[t142]) ).
cnf(t249,plain,
divide(X1,X2) = divide(multiply(X1,multiply(X3,inverse(X2))),X3),
inference(cp,[status(thm)],[t236,t181]) ).
cnf(t29,plain,
multiply(X1,inverse(X2)) = divide(X1,multiply(identity,X2)),
inference(cp,[status(thm)],[t23,t27]) ).
cnf(t41,plain,
divide(X1,multiply(identity,X2)) = multiply(X1,inverse(X2)),
inference(orient,[status(thm)],[t29]) ).
cnf(t370,plain,
divide(X1,X2) = multiply(X1,inverse(X2)),
inference(step,[status(thm)],[t41,t72]) ).
cnf(t76,plain,
divide(X1,X2) = multiply(X1,inverse(X2)),
inference(rw,[status(thm)],[t370]) ).
cnf(t79,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t76]) ).
cnf(t392,plain,
divide(X1,X2) = divide(multiply(X1,divide(X3,X2)),X3),
inference(step,[status(thm)],[t249,t79]) ).
cnf(t261,plain,
divide(multiply(X1,divide(X2,X3)),X2) = divide(X1,X3),
inference(orient,[status(thm)],[t392]) ).
cnf(t269,plain,
divide(X1,multiply(X2,X3)) = divide(multiply(X1,inverse(X3)),X2),
inference(cp,[status(thm)],[t261,t90]) ).
cnf(t393,plain,
divide(X1,multiply(X2,X3)) = divide(divide(X1,X3),X2),
inference(step,[status(thm)],[t269,t79]) ).
cnf(t286,plain,
divide(divide(X1,X2),X3) = divide(X1,multiply(X3,X2)),
inference(orient,[status(thm)],[t393]) ).
cnf(t291,plain,
divide(X1,multiply(inverse(X2),X3)) = multiply(divide(X1,X3),X2),
inference(cp,[status(thm)],[t286,t23]) ).
cnf(t394,plain,
divide(X1,divide(X3,X2)) = multiply(divide(X1,X3),X2),
inference(step,[status(thm)],[t291,t103]) ).
cnf(t395,plain,
multiply(X1,divide(X2,X3)) = multiply(divide(X1,X3),X2),
inference(step,[status(thm)],[t394,t193]) ).
cnf(t310,plain,
multiply(divide(X1,X2),X3) = multiply(X1,divide(X3,X2)),
inference(orient,[status(thm)],[t395]) ).
cnf(t317,plain,
multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X1,X3),X2),
inference(cp,[status(thm)],[t310,t23]) ).
cnf(t401,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X3),X2),
inference(step,[status(thm)],[t317,t23]) ).
cnf(t348,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X3,X2)),
inference(orient,[status(thm)],[t401]) ).
cnf(t105,plain,
divide(X1,inverse(X2)) = multiply(X2,X1),
inference(cp,[status(thm)],[t103,t73]) ).
cnf(t377,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(step,[status(thm)],[t105,t23]) ).
cnf(t107,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t377]) ).
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(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[goal_0,t348]) ).
cnf(g0_1,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(c3,b3)),
inference(rw,[status(thm)],[g0_0,t107]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP543-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/5.38 % Computer : n007.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Wed Sep 23 15:00:13 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.14/5.83 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------