TSTP Solution File: SWW277+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWW277+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 : 600s
% DateTime : Thu Jul 21 00:47:11 EDT 2022
% Result : Theorem 76.83s 74.92s
% Output : Proof 76.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW277+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 4 17:06:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 76.83/74.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.90/74.93 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.90/74.94
% 76.90/74.94 %-----------------------------------------------------
% 76.90/74.94 fof(conj_1, conjecture, v_thesis____, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)).
% 76.90/74.94 fof(fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_096, axiom, hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))), v_s____)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_096)).
% 76.90/74.94 fof(fact_dvd__mult__div__cancel, axiom, ! [_735515, _735518, _735521] : (class_Divides_Osemiring__div(_735521) => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_735521), _735518), _735515)) => hAPP(hAPP(c_Groups_Otimes__class_Otimes(_735521), _735518), c_Divides_Odiv__class_Odiv(_735521, _735515, _735518)) = _735515), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_dvd__mult__div__cancel)).
% 76.90/74.94 fof(arity_Complex__Ocomplex__Fields_Ofield, axiom, class_Fields_Ofield(tc_Complex_Ocomplex), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Fields_Ofield)).
% 76.90/74.94 fof(arity_Polynomial__Opoly__Divides_Osemiring__div, axiom, ! [_736198] : (class_Fields_Ofield(_736198) => class_Divides_Osemiring__div(tc_Polynomial_Opoly(_736198))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Divides_Osemiring__div)).
% 76.90/74.94 fof(conj_0, hypothesis, ? [_736358] : v_s____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))), _736358) => v_thesis____, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 76.90/74.94
% 76.90/74.94 cnf(1, plain, [v_thesis____], clausify(conj_1)).
% 76.90/74.94 cnf(2, plain, [_64476 = _64477, -(_64477 = _64476)], theory(equality)).
% 76.90/74.94 cnf(3, plain, [-(hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))), v_s____)))], clausify(fact__096_091_058_N_Aa_M_A1_058_093_Advd_As_096)).
% 76.90/74.94 cnf(4, plain, [class_Divides_Osemiring__div(_288705), hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_288705), _288632), _288558)), -(hAPP(hAPP(c_Groups_Otimes__class_Otimes(_288705), _288632), c_Divides_Odiv__class_Odiv(_288705, _288558, _288632)) = _288558)], clausify(fact_dvd__mult__div__cancel)).
% 76.90/74.94 cnf(5, plain, [-(class_Fields_Ofield(tc_Complex_Ocomplex))], clausify(arity_Complex__Ocomplex__Fields_Ofield)).
% 76.90/74.94 cnf(6, plain, [class_Fields_Ofield(_381946), -(class_Divides_Osemiring__div(tc_Polynomial_Opoly(_381946)))], clausify(arity_Polynomial__Opoly__Divides_Osemiring__div)).
% 76.90/74.94 cnf(7, plain, [v_s____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))), _389259), -(v_thesis____)], clausify(conj_0)).
% 76.90/74.94
% 76.90/74.94 cnf('1',plain,[v_thesis____],start(1)).
% 76.90/74.94 cnf('1.1',plain,[-(v_thesis____), v_s____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(tc_Complex_Ocomplex), v_s____, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))))],extension(7,bind([[_389259], [c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(tc_Complex_Ocomplex), v_s____, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))]]))).
% 76.90/74.94 cnf('1.1.1',plain,[-(v_s____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(tc_Complex_Ocomplex), v_s____, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(tc_Complex_Ocomplex), v_s____, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))) = v_s____],extension(2,bind([[_64476, _64477], [hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(tc_Complex_Ocomplex), v_s____, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))), v_s____]]))).
% 76.90/74.94 cnf('1.1.1.1',plain,[-(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(tc_Complex_Ocomplex), v_s____, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))) = v_s____), class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))), v_s____))],extension(4,bind([[_288705, _288632, _288558], [tc_Polynomial_Opoly(tc_Complex_Ocomplex), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))), v_s____]]))).
% 76.90/74.94 cnf('1.1.1.1.1',plain,[-(class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex))), class_Fields_Ofield(tc_Complex_Ocomplex)],extension(6,bind([[_381946], [tc_Complex_Ocomplex]]))).
% 76.90/74.94 cnf('1.1.1.1.1.1',plain,[-(class_Fields_Ofield(tc_Complex_Ocomplex))],extension(5)).
% 76.90/74.94 cnf('1.1.1.1.2',plain,[-(hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v_a____), c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))), v_s____)))],extension(3)).
% 76.90/74.94 %-----------------------------------------------------
% 76.90/74.94
% 76.90/74.94 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------