%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP539-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 5.50s 1.34s
% Output : CNFRefutation 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of clauses : 91 ( 91 unt; 0 nHn; 6 RR)
% Number of literals : 91 ( 90 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 166 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t0,axiom,
divide(X1,X1) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t8,plain,
divide(X1,X1) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t447,plain,
divide(X1,divide(identity,X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t2,t8]) ).
cnf(t12,plain,
divide(X1,divide(identity,X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t447]) ).
cnf(t1,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t448,plain,
divide(identity,X2) = inverse(X2),
inference(step,[status(thm)],[t1,t8]) ).
cnf(t19,plain,
divide(identity,X1) = inverse(X1),
inference(orient,[status(thm)],[t448]) ).
cnf(t449,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(step,[status(thm)],[t12,t19]) ).
cnf(t23,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[t449]) ).
cnf(t25,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t23]) ).
cnf(t27,plain,
multiply(identity,X1) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t25,t19]) ).
cnf(t32,plain,
inverse(inverse(X1)) = multiply(identity,X1),
inference(orient,[status(thm)],[t27]) ).
cnf(t3,axiom,
divide(divide(X1,X2),divide(divide(X1,X3),X2)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,plain,
divide(divide(X1,X2),divide(divide(X1,X3),X2)) = X3,
inference(orient,[status(thm)],[t3]) ).
cnf(t9,plain,
X1 = divide(identity,divide(divide(X2,X1),X2)),
inference(cp,[status(thm)],[t4,t8]) ).
cnf(t451,plain,
X1 = inverse(divide(divide(X2,X1),X2)),
inference(step,[status(thm)],[t9,t19]) ).
cnf(t53,plain,
inverse(divide(divide(X1,X2),X1)) = X2,
inference(orient,[status(thm)],[t451]) ).
cnf(t57,plain,
X1 = inverse(divide(identity,X1)),
inference(cp,[status(thm)],[t53,t8]) ).
cnf(t452,plain,
X1 = inverse(inverse(X1)),
inference(step,[status(thm)],[t57,t19]) ).
cnf(t453,plain,
X1 = multiply(identity,X1),
inference(step,[status(thm)],[t452,t32]) ).
cnf(t67,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t453]) ).
cnf(t454,plain,
inverse(inverse(X1)) = X1,
inference(step,[status(thm)],[t32,t67]) ).
cnf(t68,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t454]) ).
cnf(t60,plain,
inverse(X1) = inverse(divide(multiply(X2,X1),X2)),
inference(cp,[status(thm)],[t53,t25]) ).
cnf(t92,plain,
inverse(divide(multiply(X1,X2),X1)) = inverse(X2),
inference(orient,[status(thm)],[t60]) ).
cnf(t97,plain,
divide(multiply(X1,X2),X1) = inverse(inverse(X2)),
inference(cp,[status(thm)],[t68,t92]) ).
cnf(t462,plain,
divide(multiply(X1,X2),X1) = X2,
inference(step,[status(thm)],[t97,t68]) ).
cnf(t98,plain,
divide(multiply(X1,X2),X1) = X2,
inference(orient,[status(thm)],[t462]) ).
cnf(t10,plain,
X1 = divide(divide(X2,divide(X2,X1)),identity),
inference(cp,[status(thm)],[t4,t8]) ).
cnf(t20,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[t19,t8]) ).
cnf(t24,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t20]) ).
cnf(t28,plain,
multiply(X1,identity) = divide(X1,identity),
inference(cp,[status(thm)],[t25,t24]) ).
cnf(t37,plain,
divide(X1,identity) = multiply(X1,identity),
inference(orient,[status(thm)],[t28]) ).
cnf(t55,plain,
X1 = inverse(multiply(divide(identity,X1),identity)),
inference(cp,[status(thm)],[t53,t37]) ).
cnf(t458,plain,
X1 = inverse(multiply(inverse(X1),identity)),
inference(step,[status(thm)],[t55,t19]) ).
cnf(t76,plain,
inverse(multiply(inverse(X1),identity)) = X1,
inference(orient,[status(thm)],[t458]) ).
cnf(t78,plain,
inverse(X1) = inverse(multiply(X1,identity)),
inference(cp,[status(thm)],[t76,t68]) ).
cnf(t84,plain,
inverse(multiply(X1,identity)) = inverse(X1),
inference(orient,[status(thm)],[t78]) ).
cnf(t88,plain,
multiply(X1,identity) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t68,t84]) ).
cnf(t459,plain,
multiply(X1,identity) = X1,
inference(step,[status(thm)],[t88,t68]) ).
cnf(t89,plain,
multiply(X1,identity) = X1,
inference(orient,[status(thm)],[t459]) ).
cnf(t460,plain,
divide(X1,identity) = X1,
inference(step,[status(thm)],[t37,t89]) ).
cnf(t90,plain,
divide(X1,identity) = X1,
inference(orient,[status(thm)],[t460]) ).
cnf(t466,plain,
X1 = divide(X2,divide(X2,X1)),
inference(step,[status(thm)],[t10,t90]) ).
cnf(t154,plain,
divide(X1,divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t466]) ).
cnf(t34,plain,
multiply(X1,inverse(X2)) = divide(X1,multiply(identity,X2)),
inference(cp,[status(thm)],[t25,t32]) ).
cnf(t49,plain,
divide(X1,multiply(identity,X2)) = multiply(X1,inverse(X2)),
inference(orient,[status(thm)],[t34]) ).
cnf(t456,plain,
divide(X1,X2) = multiply(X1,inverse(X2)),
inference(step,[status(thm)],[t49,t67]) ).
cnf(t70,plain,
divide(X1,X2) = multiply(X1,inverse(X2)),
inference(rw,[status(thm)],[t456]) ).
cnf(t74,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t70]) ).
cnf(t100,plain,
inverse(X1) = divide(divide(X2,X1),X2),
inference(cp,[status(thm)],[t98,t74]) ).
cnf(t104,plain,
divide(divide(X1,X2),X1) = inverse(X2),
inference(orient,[status(thm)],[t100]) ).
cnf(t108,plain,
inverse(X1) = divide(inverse(X2),divide(X1,X2)),
inference(cp,[status(thm)],[t104,t104]) ).
cnf(t148,plain,
divide(inverse(X1),divide(X2,X1)) = inverse(X2),
inference(orient,[status(thm)],[t108]) ).
cnf(t157,plain,
divide(X1,X2) = divide(inverse(X2),inverse(X1)),
inference(cp,[status(thm)],[t154,t148]) ).
cnf(t467,plain,
divide(X1,X2) = multiply(inverse(X2),X1),
inference(step,[status(thm)],[t157,t25]) ).
cnf(t169,plain,
multiply(inverse(X1),X2) = divide(X2,X1),
inference(orient,[status(thm)],[t467]) ).
cnf(t106,plain,
inverse(X1) = divide(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t104,t98]) ).
cnf(t111,plain,
divide(X1,multiply(X2,X1)) = inverse(X2),
inference(orient,[status(thm)],[t106]) ).
cnf(t113,plain,
inverse(multiply(X1,X2)) = divide(inverse(X1),X2),
inference(cp,[status(thm)],[t104,t111]) ).
cnf(t117,plain,
inverse(multiply(X1,X2)) = divide(inverse(X1),X2),
inference(orient,[status(thm)],[t113]) ).
cnf(t118,plain,
divide(inverse(X1),inverse(X2)) = inverse(divide(X1,X2)),
inference(cp,[status(thm)],[t117,t74]) ).
cnf(t463,plain,
multiply(inverse(X1),X2) = inverse(divide(X1,X2)),
inference(step,[status(thm)],[t118,t25]) ).
cnf(t123,plain,
inverse(divide(X1,X2)) = multiply(inverse(X1),X2),
inference(orient,[status(thm)],[t463]) ).
cnf(t468,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(step,[status(thm)],[t123,t169]) ).
cnf(t170,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(orient,[status(thm)],[t468]) ).
cnf(t174,plain,
divide(X1,divide(X2,X3)) = multiply(divide(X3,X2),X1),
inference(cp,[status(thm)],[t169,t170]) ).
cnf(t208,plain,
divide(X1,divide(X2,X3)) = multiply(divide(X3,X2),X1),
inference(orient,[status(thm)],[t174]) ).
cnf(t476,plain,
multiply(divide(X2,divide(X1,X3)),divide(X1,X2)) = X3,
inference(step,[status(thm)],[t4,t208]) ).
cnf(t477,plain,
multiply(multiply(divide(X3,X1),X2),divide(X1,X2)) = X3,
inference(step,[status(thm)],[t476,t208]) ).
cnf(t221,plain,
multiply(multiply(divide(X3,X1),X2),divide(X1,X2)) = X3,
inference(rw,[status(thm)],[t477]) ).
cnf(t119,plain,
multiply(X1,multiply(X2,X3)) = divide(X1,divide(inverse(X2),X3)),
inference(cp,[status(thm)],[t25,t117]) ).
cnf(t478,plain,
multiply(X1,multiply(X2,X3)) = multiply(divide(X3,inverse(X2)),X1),
inference(step,[status(thm)],[t119,t208]) ).
cnf(t479,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X3,X2),X1),
inference(step,[status(thm)],[t478,t25]) ).
cnf(t236,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X3,X2),X1),
inference(orient,[status(thm)],[t479]) ).
cnf(t481,plain,
multiply(divide(X1,X2),multiply(X2,divide(X3,X1))) = X3,
inference(step,[status(thm)],[t221,t236]) ).
cnf(t348,plain,
multiply(divide(X1,X2),multiply(X2,divide(X3,X1))) = X3,
inference(orient,[status(thm)],[t481]) ).
cnf(t381,plain,
multiply(X1,divide(X2,X3)) = divide(X2,divide(X3,X1)),
inference(cp,[status(thm)],[t98,t348]) ).
cnf(t482,plain,
multiply(X1,divide(X2,X3)) = multiply(divide(X1,X3),X2),
inference(step,[status(thm)],[t381,t208]) ).
cnf(t385,plain,
multiply(divide(X1,X2),X3) = multiply(X1,divide(X3,X2)),
inference(orient,[status(thm)],[t482]) ).
cnf(t395,plain,
multiply(X1,divide(X2,inverse(X3))) = multiply(multiply(X1,X3),X2),
inference(cp,[status(thm)],[t385,t25]) ).
cnf(t489,plain,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X3),X2),
inference(step,[status(thm)],[t395,t25]) ).
cnf(t430,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X3,X2)),
inference(orient,[status(thm)],[t489]) ).
cnf(t155,plain,
multiply(X1,X2) = divide(X2,inverse(X1)),
inference(cp,[status(thm)],[t154,t111]) ).
cnf(t473,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(step,[status(thm)],[t155,t25]) ).
cnf(t197,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t473]) ).
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(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[goal_0,t430]) ).
cnf(g0_1,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(c3,b3)),
inference(rw,[status(thm)],[g0_0,t197]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP539-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.55 % Computer : n014.cluster.edu
% 0.09/0.55 % Model : x86_64 x86_64
% 0.09/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.55 % Memory : 8046.5625MB
% 0.09/0.55 % OS : Linux 6.8.0-71-generic
% 0.09/0.55 % CPULimit : 300
% 0.09/0.55 % WCLimit : 300
% 0.09/0.55 % DateTime : Wed Sep 23 15:01:04 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.56 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.50/1.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.50/1.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------