%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP526-1 : 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 : n019.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 5.97s 1.12s
% Output : CNFRefutation 5.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_these_axioms_2)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf,[status(esa)],[prove_these_axioms_2]) ).
cnf(l0,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf,[status(esa)],[multiply]) ).
cnf(l32,plain,
multiply(divide(divide(a2,X1_39),divide(a2,X1_39)),divide(a2,divide(divide(a2,X1_39),divide(a2,X1_39)))) = divide(divide(divide(a2,X1_39),divide(a2,X1_39)),divide(divide(divide(divide(a2,X1_39),divide(a2,X1_39)),divide(divide(a2,X1_39),divide(a2,X1_39))),divide(a2,divide(divide(a2,X1_39),divide(a2,X1_39))))),
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(l33,plain,
divide(divide(divide(a2,X1_39),divide(a2,X1_39)),divide(divide(divide(divide(a2,X1_39),divide(a2,X1_39)),divide(divide(a2,X1_39),divide(a2,X1_39))),divide(a2,divide(divide(a2,X1_39),divide(a2,X1_39))))) = a2,
inference(instantiation,[status(thm)],[0]) ).
cnf(l39,plain,
divide(a2,divide(divide(a2,X1_39),divide(a2,X1_39))) = a2,
inference(instantiation,[status(thm)],[0]) ).
cnf(l51,plain,
divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56))))) = b2,
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf,[status(esa)],[inverse]) ).
cnf(l52,plain,
inverse(divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56))))) = divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l41,plain,
divide(divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56)))),divide(divide(divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56)))),divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56))))),divide(divide(divide(a2,X1_39),divide(a2,X1_39)),divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56))))))) = divide(divide(a2,X1_39),divide(a2,X1_39)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l55,plain,
inverse(divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56))))) = divide(divide(divide(a2,X1_39),divide(a2,X1_39)),divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l38,plain,
multiply(divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56)))),divide(divide(divide(a2,X1_39),divide(a2,X1_39)),divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56)))))) = divide(divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56)))),divide(divide(divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56)))),divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56))))),divide(divide(divide(a2,X1_39),divide(a2,X1_39)),divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l56,plain,
divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56))) = b2,
inference(instantiation,[status(thm)],[0]) ).
cnf(l49,plain,
inverse(divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56)))) = divide(divide(divide(divide(b2,X1_56),divide(b2,X1_56)),divide(divide(b2,X1_56),divide(b2,X1_56))),divide(b2,divide(divide(b2,X1_56),divide(b2,X1_56)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l32,l33,l39,l51,l52,l41,l55,l38,l56,l49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP526-1 : TPTP v9.0.0. Released v2.6.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n019.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 15:38:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 8
% 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: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.34 % launching worker at depth: 11
% 0.19/0.56 % launching worker at depth: 12
% 5.97/1.12 % SZS status Theorem for theBenchmark
% 5.97/1.12 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------