%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP532-1 : 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 : n031.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 06:27:31 PM UTC 2025
% Result : Unsatisfiable 63.60s 8.37s
% Output : CNFRefutation 63.60s
% 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(l51,plain,
multiply(divide(divide(divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))),divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b)))))),divide(divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)))),divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b)))))) = divide(divide(divide(divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))),divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b)))))),divide(divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)))),divide(divide(divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))),divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b)))))),divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
divide(divide(X0,divide(X1,X2)),divide(X0,X1)) = X2,
inference(cnf,[status(esa)],[single_axiom]) ).
cnf(l17,plain,
divide(divide(divide(divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))),divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b)))))),divide(divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)))),divide(divide(divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))),divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b)))))),divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))))) = divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l18,plain,
multiply(a,b) = divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l58,plain,
divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b)))) = b,
inference(instantiation,[status(thm)],[0]) ).
cnf(l57,plain,
divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))) = a,
inference(instantiation,[status(thm)],[0]) ).
cnf(l55,plain,
divide(divide(divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))),divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b)))))),divide(divide(divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b))))),divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)))) = divide(divide(a,divide(divide(multiply(a,b),multiply(a,b)),b)),divide(a,divide(multiply(a,b),multiply(a,b)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l40,plain,
divide(divide(X0_42,divide(X1_42,divide(divide(divide(a,divide(multiply(a,b),multiply(a,b))),divide(a,multiply(a,b))),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)))),divide(X0_42,X1_42)) = divide(divide(divide(a,divide(multiply(a,b),multiply(a,b))),divide(a,multiply(a,b))),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l47,plain,
divide(divide(a,divide(multiply(a,b),multiply(a,b))),divide(a,multiply(a,b))) = multiply(a,b),
inference(instantiation,[status(thm)],[0]) ).
cnf(l42,plain,
divide(divide(X0_42,divide(X1_42,divide(divide(divide(a,divide(multiply(a,b),multiply(a,b))),divide(a,multiply(a,b))),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)))),divide(X0_42,X1_42)) = divide(divide(divide(a,divide(multiply(a,b),multiply(a,b))),divide(a,multiply(a,b))),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l39,plain,
divide(divide(divide(a,divide(multiply(a,b),multiply(a,b))),divide(a,multiply(a,b))),divide(divide(a,divide(multiply(a,b),multiply(a,b))),a)) = multiply(a,b),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l51,l17,l18,l58,l57,l55,l40,l47,l42,l39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP532-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 15:39:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.34 % launching worker at depth: 11
% 2.16/0.67 % launching worker at depth: 12
% 63.60/8.37 % SZS status Theorem for theBenchmark
% 63.60/8.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------