%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP556-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.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 01:27:31 PM UTC 2026
% Result : Unsatisfiable 0.15s 15.84s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 3
% Syntax : Number of clauses : 47 ( 47 unt; 0 nHn; 3 RR)
% Number of literals : 47 ( 46 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
divide(divide(X1,inverse(divide(X2,divide(X1,X3)))),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t2,plain,
divide(divide(X1,inverse(divide(X2,divide(X1,X3)))),X3) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
divide(X1,inverse(X2)) = multiply(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t5,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t0]) ).
cnf(t520,plain,
divide(multiply(X1,divide(X2,divide(X1,X3))),X3) = X2,
inference(step,[status(thm)],[t2,t5]) ).
cnf(t6,plain,
divide(multiply(X1,divide(X2,divide(X1,X3))),X3) = X2,
inference(rw,[status(thm)],[t520]) ).
cnf(t7,plain,
divide(multiply(X1,divide(X2,divide(X1,X3))),X3) = X2,
inference(orient,[status(thm)],[t6]) ).
cnf(t10,plain,
multiply(X1,divide(X2,divide(X1,divide(X3,Y3)))) = divide(multiply(X3,X2),Y3),
inference(cp,[status(thm)],[t7,t7]) ).
cnf(t15,plain,
multiply(X1,divide(X2,divide(X1,divide(X3,Y3)))) = divide(multiply(X3,X2),Y3),
inference(orient,[status(thm)],[t10]) ).
cnf(t19,plain,
X1 = divide(divide(multiply(X2,X1),X3),divide(X2,X3)),
inference(cp,[status(thm)],[t7,t15]) ).
cnf(t21,plain,
divide(divide(multiply(X1,X2),X3),divide(X1,X3)) = X2,
inference(orient,[status(thm)],[t19]) ).
cnf(t22,plain,
X1 = divide(multiply(multiply(X2,X1),X3),divide(X2,inverse(X3))),
inference(cp,[status(thm)],[t21,t5]) ).
cnf(t522,plain,
X1 = divide(multiply(multiply(X2,X1),X3),multiply(X2,X3)),
inference(step,[status(thm)],[t22,t5]) ).
cnf(t31,plain,
divide(multiply(multiply(X1,X2),X3),multiply(X1,X3)) = X2,
inference(orient,[status(thm)],[t522]) ).
cnf(t37,plain,
X1 = divide(X2,divide(multiply(X3,X2),multiply(X3,X1))),
inference(cp,[status(thm)],[t21,t31]) ).
cnf(t41,plain,
divide(X1,divide(multiply(X2,X1),multiply(X2,X3))) = X3,
inference(orient,[status(thm)],[t37]) ).
cnf(t50,plain,
divide(multiply(multiply(X1,X2),X3),multiply(X1,Y3)) = multiply(X2,divide(X3,Y3)),
inference(cp,[status(thm)],[t15,t41]) ).
cnf(t117,plain,
divide(multiply(multiply(X1,X2),X3),multiply(X1,Y3)) = multiply(X2,divide(X3,Y3)),
inference(orient,[status(thm)],[t50]) ).
cnf(t524,plain,
multiply(X2,divide(X3,X3)) = X2,
inference(step,[status(thm)],[t31,t117]) ).
cnf(t140,plain,
multiply(X2,divide(X3,X3)) = X2,
inference(rw,[status(thm)],[t524]) ).
cnf(t141,plain,
multiply(X1,divide(X2,X2)) = X1,
inference(orient,[status(thm)],[t140]) ).
cnf(t8,plain,
X1 = multiply(multiply(X2,divide(X1,divide(X2,inverse(X3)))),X3),
inference(cp,[status(thm)],[t7,t5]) ).
cnf(t521,plain,
X1 = multiply(multiply(X2,divide(X1,multiply(X2,X3))),X3),
inference(step,[status(thm)],[t8,t5]) ).
cnf(t12,plain,
multiply(multiply(X1,divide(X2,multiply(X1,X3))),X3) = X2,
inference(orient,[status(thm)],[t521]) ).
cnf(t143,plain,
multiply(X1,divide(X2,multiply(X1,divide(X3,X3)))) = X2,
inference(cp,[status(thm)],[t141,t12]) ).
cnf(t525,plain,
multiply(X1,divide(X2,X1)) = X2,
inference(step,[status(thm)],[t143,t141]) ).
cnf(t156,plain,
multiply(X1,divide(X2,X1)) = X2,
inference(orient,[status(thm)],[t525]) ).
cnf(t157,plain,
X1 = multiply(inverse(X2),multiply(X1,X2)),
inference(cp,[status(thm)],[t156,t5]) ).
cnf(t188,plain,
multiply(inverse(X1),multiply(X2,X1)) = X2,
inference(orient,[status(thm)],[t157]) ).
cnf(t191,plain,
X1 = multiply(inverse(divide(X2,X2)),X1),
inference(cp,[status(thm)],[t188,t141]) ).
cnf(t190,plain,
X1 = multiply(inverse(divide(X2,X1)),X2),
inference(cp,[status(thm)],[t188,t156]) ).
cnf(t223,plain,
multiply(inverse(divide(X1,X2)),X1) = X2,
inference(orient,[status(thm)],[t190]) ).
cnf(t233,plain,
inverse(divide(X1,X2)) = multiply(inverse(X1),X2),
inference(cp,[status(thm)],[t188,t223]) ).
cnf(t244,plain,
inverse(divide(X1,X2)) = multiply(inverse(X1),X2),
inference(orient,[status(thm)],[t233]) ).
cnf(t527,plain,
X1 = multiply(multiply(inverse(X2),X2),X1),
inference(step,[status(thm)],[t191,t244]) ).
cnf(t256,plain,
multiply(multiply(inverse(X1),X1),X2) = X2,
inference(orient,[status(thm)],[t527]) ).
cnf(t270,plain,
X1 = divide(X2,divide(X2,multiply(multiply(inverse(X3),X3),X1))),
inference(cp,[status(thm)],[t41,t256]) ).
cnf(t528,plain,
X1 = divide(X2,divide(X2,X1)),
inference(step,[status(thm)],[t270,t256]) ).
cnf(t278,plain,
divide(X1,divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t528]) ).
cnf(t291,plain,
X1 = divide(multiply(X1,X2),X2),
inference(cp,[status(thm)],[t7,t278]) ).
cnf(t343,plain,
divide(multiply(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t291]) ).
cnf(t344,plain,
multiply(X1,X2) = multiply(X2,divide(multiply(X1,X3),X3)),
inference(cp,[status(thm)],[t343,t117]) ).
cnf(t535,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(step,[status(thm)],[t344,t343]) ).
cnf(t507,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t535]) ).
cnf(goal_0,negated_conjecture,
multiply(b,a) != multiply(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(b,a) != multiply(b,a),
inference(rw,[status(thm)],[goal_0,t507]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP556-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/15.39 % Computer : n003.cluster.edu
% 0.12/15.39 % Model : x86_64 x86_64
% 0.12/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.39 % Memory : 8046.5625MB
% 0.12/15.39 % OS : Linux 6.8.0-71-generic
% 0.12/15.39 % CPULimit : 300
% 0.12/15.39 % WCLimit : 300
% 0.12/15.39 % DateTime : Wed Sep 23 15:06:05 UTC 2026
% 0.15/15.40 % CPUTime :
% 0.15/15.40 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/15.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/15.84 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------