%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP524-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 5.89s 1.17s
% Output : CNFRefutation 5.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 5
% Syntax : Number of clauses : 49 ( 49 unt; 0 nHn; 8 RR)
% Number of literals : 49 ( 48 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 84 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
sFlat1 = multiply(a,b),
introduced(definition) ).
cnf(t23,plain,
multiply(a,b) = sFlat1,
inference(orient,[status(thm)],[t4]) ).
cnf(t2,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t8,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(t16,plain,
divide(divide(X1,X1),X2) = inverse(X2),
inference(orient,[status(thm)],[t0]) ).
cnf(t269,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t8,t16]) ).
cnf(t22,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(rw,[status(thm)],[t269]) ).
cnf(t25,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t22]) ).
cnf(t18,plain,
inverse(X1) = divide(inverse(divide(X2,X2)),X1),
inference(cp,[status(thm)],[t16,t16]) ).
cnf(t32,plain,
divide(inverse(divide(X1,X1)),X2) = inverse(X2),
inference(orient,[status(thm)],[t18]) ).
cnf(t1,axiom,
divide(X1,divide(X2,divide(X3,divide(X1,X2)))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
divide(X1,divide(X2,divide(X3,divide(X1,X2)))) = X3,
inference(orient,[status(thm)],[t1]) ).
cnf(t33,plain,
inverse(divide(X1,divide(X2,divide(inverse(divide(X3,X3)),X1)))) = X2,
inference(cp,[status(thm)],[t32,t5]) ).
cnf(t270,plain,
inverse(divide(X1,divide(X2,inverse(X1)))) = X2,
inference(step,[status(thm)],[t33,t32]) ).
cnf(t271,plain,
inverse(divide(X1,multiply(X2,X1))) = X2,
inference(step,[status(thm)],[t270,t25]) ).
cnf(t43,plain,
inverse(divide(X1,multiply(X2,X1))) = X2,
inference(orient,[status(thm)],[t271]) ).
cnf(t45,plain,
X1 = inverse(inverse(multiply(X1,divide(X2,X2)))),
inference(cp,[status(thm)],[t43,t16]) ).
cnf(t78,plain,
inverse(inverse(multiply(X1,divide(X2,X2)))) = X1,
inference(orient,[status(thm)],[t45]) ).
cnf(t26,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(cp,[status(thm)],[t25,t16]) ).
cnf(t29,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t26]) ).
cnf(t46,plain,
divide(X1,X1) = inverse(divide(X2,inverse(inverse(X2)))),
inference(cp,[status(thm)],[t43,t29]) ).
cnf(t272,plain,
divide(X1,X1) = inverse(multiply(X2,inverse(X2))),
inference(step,[status(thm)],[t46,t25]) ).
cnf(t118,plain,
divide(X1,X1) = inverse(multiply(X2,inverse(X2))),
inference(orient,[status(thm)],[t272]) ).
cnf(t146,plain,
divide(X1,X1) = divide(X2,X2),
inference(cp,[status(thm)],[t118,t118]) ).
cnf(t147,plain,
divide(X1,X1) = divide(X2,X2),
inference(orient,[status(thm)],[t146]) ).
cnf(t148,plain,
divide(X1,X1) = multiply(inverse(X2),X2),
inference(cp,[status(thm)],[t147,t25]) ).
cnf(t158,plain,
divide(X1,X1) = multiply(inverse(X2),X2),
inference(orient,[status(thm)],[t148]) ).
cnf(t182,plain,
inverse(X1) = inverse(divide(X1,divide(X2,X2))),
inference(cp,[status(thm)],[t43,t158]) ).
cnf(t188,plain,
inverse(divide(X1,divide(X2,X2))) = inverse(X1),
inference(orient,[status(thm)],[t182]) ).
cnf(t198,plain,
inverse(X1) = inverse(divide(X1,inverse(divide(X2,X2)))),
inference(cp,[status(thm)],[t188,t16]) ).
cnf(t273,plain,
inverse(X1) = inverse(multiply(X1,divide(X2,X2))),
inference(step,[status(thm)],[t198,t25]) ).
cnf(t204,plain,
inverse(multiply(X1,divide(X2,X2))) = inverse(X1),
inference(orient,[status(thm)],[t273]) ).
cnf(t274,plain,
inverse(inverse(X1)) = X1,
inference(step,[status(thm)],[t78,t204]) ).
cnf(t217,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[t274]) ).
cnf(t218,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t217]) ).
cnf(t229,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(cp,[status(thm)],[t25,t218]) ).
cnf(t238,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t229]) ).
cnf(t226,plain,
divide(X1,divide(X2,X2)) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t218,t188]) ).
cnf(t283,plain,
divide(X1,divide(X2,X2)) = X1,
inference(step,[status(thm)],[t226,t218]) ).
cnf(t252,plain,
divide(X1,divide(X2,X2)) = X1,
inference(orient,[status(thm)],[t283]) ).
cnf(t259,plain,
X1 = divide(X2,divide(X2,X1)),
inference(cp,[status(thm)],[t5,t252]) ).
cnf(t261,plain,
divide(X1,divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t259]) ).
cnf(goal_0,negated_conjecture,
multiply(b,a) != multiply(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
sFlat1 != multiply(a,b),
inference(rw,[status(thm)],[goal_0,t23]) ).
cnf(g0_1,plain,
sFlat1 != multiply(b,inverse(divide(b,sFlat1))),
inference(rw,[status(thm)],[g0_0]) ).
cnf(g0_2,plain,
sFlat1 != divide(b,divide(b,sFlat1)),
inference(rw,[status(thm)],[g0_1,t238]) ).
cnf(g0_3,plain,
sFlat1 != sFlat1,
inference(rw,[status(thm)],[g0_2,t261]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP524-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 15:01:21 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.89/1.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.89/1.17 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------