%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP524-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 06:27:30 PM UTC 2025
% Result : Unsatisfiable 161.91s 20.65s
% Output : CNFRefutation 161.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_these_axioms_4)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
multiply(a,b) != multiply(b,a),
inference(cnf,[status(esa)],[prove_these_axioms_4]) ).
cnf(l0,plain,
multiply(a,b) != multiply(b,a),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf,[status(esa)],[multiply]) ).
cnf(l25,plain,
multiply(X0_247,divide(divide(X0_198,divide(X1_198,divide(b,divide(X0_198,X1_198)))),divide(X0_247,divide(X2_25,X2_25)))) = divide(X0_247,divide(divide(X2_25,X2_25),divide(divide(X0_198,divide(X1_198,divide(b,divide(X0_198,X1_198)))),divide(X0_247,divide(X2_25,X2_25))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
inference(cnf,[status(esa)],[single_axiom]) ).
cnf(l266,plain,
divide(X0_247,divide(divide(X2_25,X2_25),divide(divide(X0_198,divide(X1_198,divide(b,divide(X0_198,X1_198)))),divide(X0_247,divide(X2_25,X2_25))))) = divide(X0_198,divide(X1_198,divide(b,divide(X0_198,X1_198)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l32,plain,
divide(X0_198,divide(X1_198,divide(b,divide(X0_198,X1_198)))) = b,
inference(instantiation,[status(thm)],[0]) ).
cnf(l95,plain,
divide(divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b)))),divide(divide(divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b))))),divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b)))))),divide(multiply(a,b),divide(divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b)))),divide(divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b))))),divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b)))))))))) = multiply(a,b),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))) = a,
inference(instantiation,[status(thm)],[0]) ).
cnf(l268,plain,
multiply(a,b) = divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l203,plain,
multiply(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(b,divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))))))),divide(multiply(a,b),divide(divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b)))),divide(divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b))))),divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b))))))))) = divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(b,divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))))))),divide(divide(divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b))))),divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b)))))),divide(multiply(a,b),divide(divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b)))),divide(divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b))))),divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b)))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l271,plain,
divide(b,divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))))) = divide(multiply(a,b),multiply(a,b)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l276,plain,
divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(b,divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))))))) = b,
inference(instantiation,[status(thm)],[0]) ).
cnf(l228,plain,
multiply(X0_247,divide(divide(X0_198,divide(X1_198,divide(b,divide(X0_198,X1_198)))),divide(X0_247,divide(X2_25,X2_25)))) = divide(X0_247,divide(divide(X2_25,X2_25),divide(divide(X0_198,divide(X1_198,divide(b,divide(X0_198,X1_198)))),divide(X0_247,divide(X2_25,X2_25))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l217,plain,
divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b))))) = divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l223,plain,
divide(multiply(a,b),divide(divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b)))),divide(divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b))))),divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b)))))))) = divide(multiply(a,b),divide(multiply(a,b),divide(divide(divide(multiply(a,b),multiply(a,b)),divide(b,divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)))),divide(multiply(a,b),multiply(a,b))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l198,plain,
divide(X0_198,divide(X1_198,divide(b,divide(X0_198,X1_198)))) = b,
inference(instantiation,[status(thm)],[0]) ).
cnf(l247,plain,
divide(X0_247,divide(divide(X2_25,X2_25),divide(divide(X0_198,divide(X1_198,divide(b,divide(X0_198,X1_198)))),divide(X0_247,divide(X2_25,X2_25))))) = divide(X0_198,divide(X1_198,divide(b,divide(X0_198,X1_198)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l25,l266,l32,l95,l6,l268,l203,l271,l276,l228,l217,l223,l198,l247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP524-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n029.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun Jul 20 15:38:04 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 9
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 10
% 0.09/0.29 % launching worker at depth: 11
% 2.42/0.59 % launching worker at depth: 12
% 161.91/20.65 % SZS status Theorem for theBenchmark
% 161.91/20.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------