%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP525-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n032.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 62.50s 8.18s
% Output : CNFRefutation 62.50s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_these_axioms_1)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf,[status(esa)],[prove_these_axioms_1]) ).
cnf(l0,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf,[status(esa)],[multiply]) ).
cnf(l147,plain,
multiply(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))) = divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
inference(cnf,[status(esa)],[single_axiom]) ).
cnf(l23,plain,
divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)))) = divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l149,plain,
divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)))),divide(divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)))),divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))))),divide(multiply(inverse(b1),b1),divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))))))) = multiply(inverse(b1),b1),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf,[status(esa)],[inverse]) ).
cnf(l109,plain,
inverse(divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))) = divide(divide(divide(divide(X1_154,X1_154),b1),divide(divide(X1_154,X1_154),b1)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l61,plain,
inverse(a1) = divide(divide(X2_104,X2_104),a1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l69,plain,
divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))) = divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l163,plain,
multiply(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)))),divide(multiply(inverse(b1),b1),divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)))))) = divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)))),divide(divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)))),divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))))),divide(multiply(inverse(b1),b1),divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l161,plain,
divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)))) = divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),
inference(instantiation,[status(thm)],[0]) ).
cnf(l58,plain,
inverse(divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))) = divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l164,plain,
divide(multiply(inverse(b1),b1),divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))))) = divide(divide(multiply(inverse(b1),b1),divide(divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69))),divide(divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),X1_69)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l153,plain,
multiply(divide(divide(X1_154,X1_154),b1),b1) = divide(divide(divide(X1_154,X1_154),b1),divide(divide(X1_154,X1_154),b1)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l154,plain,
inverse(b1) = divide(divide(X1_154,X1_154),b1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l104,plain,
multiply(divide(divide(X2_104,X2_104),a1),a1) = divide(divide(divide(X2_104,X2_104),a1),divide(divide(X2_104,X2_104),a1)),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l147,l23,l149,l109,l61,l69,l163,l161,l58,l164,l153,l154,l104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : GRP525-1 : TPTP v9.0.0. Released v2.6.0.
% 0.09/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sun Jul 20 15:38:19 EDT 2025
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % launching worker at depth: 1
% 0.09/0.28 % launching worker at depth: 4
% 0.09/0.28 % launching worker at depth: 5
% 0.09/0.28 % launching worker at depth: 3
% 0.09/0.28 % launching worker at depth: 7
% 0.09/0.28 % launching worker at depth: 2
% 0.09/0.28 % launching worker at depth: 6
% 0.09/0.28 % launching worker at depth: 8
% 0.09/0.28 % launching worker at depth: 9
% 0.09/0.29 % launching worker at depth: 10
% 0.09/0.29 % launching worker at depth: 11
% 2.75/0.62 % launching worker at depth: 12
% 62.50/8.18 % SZS status Theorem for theBenchmark
% 62.50/8.18 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------