TSTP Solution File: NUM925+5 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM925+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 : Mon Jul 18 11:45:51 EDT 2022
% Result : Theorem 0.74s 1.40s
% Output : Proof 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM925+5 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n011.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 : Wed Jul 6 17:11:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.74/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/1.42
% 0.74/1.42 %-----------------------------------------------------
% 0.74/1.42 fof(conj_0, conjecture, (! power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls))))) = zero_zero(int), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 0.74/1.42 fof(tsy_c_Orderings_Oord__class_Oless_0_arg2, axiom, ! [_175015, _175018, _175021] : (linordered_idom(_175021) => (ord_less(_175021, _175015, ti(_175021, _175018)) <=> ord_less(_175021, _175015, _175018))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', tsy_c_Orderings_Oord__class_Oless_0_arg2)).
% 0.74/1.42 fof(fact_0_n1pos, axiom, ord_less(int, zero_zero(int), plus_plus(int, one_one(int), semiring_1_of_nat(int, n))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0_n1pos)).
% 0.74/1.42 fof(fact_5_zero__eq__power2, axiom, ! [_175319] : (ring_11004092258visors(_175319) => ! [_175334] : (power_power(_175319, _175334, number_number_of(nat, bit0(bit1(pls)))) = zero_zero(_175319) <=> ti(_175319, _175334) = zero_zero(_175319))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_5_zero__eq__power2)).
% 0.74/1.42 fof(fact_15_zless__linear, axiom, ! [_175599, _175602] : (ord_less(int, _175599, _175602) | _175599 = _175602 | ord_less(int, _175602, _175599)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_15_zless__linear)).
% 0.74/1.42 fof(fact_57_bin__less__0__simps_I1_J, axiom, ~ ord_less(int, pls, zero_zero(int)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_57_bin__less__0__simps_I1_J)).
% 0.74/1.42 fof(fact_73_Pls__def, axiom, pls = zero_zero(int), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_73_Pls__def)).
% 0.74/1.42 fof(arity_Int_Oint___Rings_Oring__1__no__zero__divisors, axiom, ring_11004092258visors(int), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Int_Oint___Rings_Oring__1__no__zero__divisors)).
% 0.74/1.42 fof(arity_Int_Oint___Rings_Olinordered__idom, axiom, linordered_idom(int), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Int_Oint___Rings_Olinordered__idom)).
% 0.74/1.42
% 0.74/1.42 cnf(1, plain, [-(power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))) = zero_zero(int))], clausify(conj_0)).
% 0.74/1.42 cnf(2, plain, [-(_62143 = _62143)], theory(equality)).
% 0.74/1.42 cnf(3, plain, [_62296 = _62341, -(_62341 = _62296)], theory(equality)).
% 0.74/1.42 cnf(4, plain, [-(ord_less(_65439, _65606, _65769)), ord_less(_65354, _65523, _65688), _65354 = _65439, _65523 = _65606, _65688 = _65769], theory(equality)).
% 0.74/1.42 cnf(5, plain, [linordered_idom(_83031), -(ord_less(_83031, _82912, ti(_83031, _82972))), ord_less(_83031, _82912, _82972)], clausify(tsy_c_Orderings_Oord__class_Oless_0_arg2)).
% 0.74/1.42 cnf(6, plain, [-(ord_less(int, zero_zero(int), plus_plus(int, one_one(int), semiring_1_of_nat(int, n))))], clausify(fact_0_n1pos)).
% 0.74/1.42 cnf(7, plain, [ring_11004092258visors(_91399), power_power(_91399, _91498, number_number_of(nat, bit0(bit1(pls)))) = zero_zero(_91399), -(ti(_91399, _91498) = zero_zero(_91399))], clausify(fact_5_zero__eq__power2)).
% 0.74/1.42 cnf(8, plain, [-(ord_less(int, _96507, _96560)), -(_96507 = _96560), -(ord_less(int, _96560, _96507))], clausify(fact_15_zless__linear)).
% 0.74/1.42 cnf(9, plain, [ord_less(int, pls, zero_zero(int))], clausify(fact_57_bin__less__0__simps_I1_J)).
% 0.74/1.42 cnf(10, plain, [-(pls = zero_zero(int))], clausify(fact_73_Pls__def)).
% 0.74/1.42 cnf(11, plain, [-(ring_11004092258visors(int))], clausify(arity_Int_Oint___Rings_Oring__1__no__zero__divisors)).
% 0.74/1.42 cnf(12, plain, [-(linordered_idom(int))], clausify(arity_Int_Oint___Rings_Olinordered__idom)).
% 0.74/1.42
% 0.74/1.42 cnf('1',plain,[ord_less(int, pls, zero_zero(int))],start(9)).
% 0.74/1.42 cnf('1.1',plain,[-(ord_less(int, pls, zero_zero(int))), -(ord_less(int, zero_zero(int), pls)), -(zero_zero(int) = pls)],extension(8,bind([[_96507, _96560], [zero_zero(int), pls]]))).
% 0.74/1.42 cnf('1.1.1',plain,[ord_less(int, zero_zero(int), pls), -(ord_less(int, pls, zero_zero(int))), int = int, zero_zero(int) = pls, pls = zero_zero(int)],extension(4,bind([[_65354, _65439, _65523, _65606, _65688, _65769], [int, int, zero_zero(int), pls, pls, zero_zero(int)]]))).
% 0.74/1.42 cnf('1.1.1.1',plain,[ord_less(int, pls, zero_zero(int))],extension(9)).
% 0.74/1.42 cnf('1.1.1.2',plain,[-(int = int)],extension(2,bind([[_62143], [int]]))).
% 0.74/1.42 cnf('1.1.1.3',plain,[-(zero_zero(int) = pls), pls = zero_zero(int)],extension(3,bind([[_62296, _62341], [pls, zero_zero(int)]]))).
% 0.74/1.42 cnf('1.1.1.3.1',plain,[-(pls = zero_zero(int))],extension(10)).
% 0.74/1.42 cnf('1.1.1.4',plain,[-(pls = zero_zero(int)), zero_zero(int) = pls],extension(3,bind([[_62296, _62341], [zero_zero(int), pls]]))).
% 0.74/1.42 cnf('1.1.1.4.1',plain,[-(zero_zero(int) = pls)],lemmata('1.1.1')).
% 0.74/1.42 cnf('1.1.2',plain,[zero_zero(int) = pls, -(ord_less(int, pls, zero_zero(int))), ord_less(int, zero_zero(int), ti(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)))), int = int, ti(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n))) = zero_zero(int)],extension(4,bind([[_65606, _65523, _65354, _65439, _65688, _65769], [pls, zero_zero(int), int, int, ti(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n))), zero_zero(int)]]))).
% 0.74/1.42 cnf('1.1.2.1',plain,[ord_less(int, pls, zero_zero(int))],extension(9)).
% 0.74/1.42 cnf('1.1.2.2',plain,[-(ord_less(int, zero_zero(int), ti(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n))))), linordered_idom(int), ord_less(int, zero_zero(int), plus_plus(int, one_one(int), semiring_1_of_nat(int, n)))],extension(5,bind([[_83031, _82912, _82972], [int, zero_zero(int), plus_plus(int, one_one(int), semiring_1_of_nat(int, n))]]))).
% 0.74/1.42 cnf('1.1.2.2.1',plain,[-(linordered_idom(int))],extension(12)).
% 0.74/1.42 cnf('1.1.2.2.2',plain,[-(ord_less(int, zero_zero(int), plus_plus(int, one_one(int), semiring_1_of_nat(int, n))))],extension(6)).
% 0.74/1.42 cnf('1.1.2.3',plain,[-(int = int)],extension(2,bind([[_62143], [int]]))).
% 0.74/1.42 cnf('1.1.2.4',plain,[-(ti(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n))) = zero_zero(int)), ring_11004092258visors(int), power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))) = zero_zero(int)],extension(7,bind([[_91498, _91399], [plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), int]]))).
% 0.74/1.42 cnf('1.1.2.4.1',plain,[-(ring_11004092258visors(int))],extension(11)).
% 0.74/1.42 cnf('1.1.2.4.2',plain,[-(power_power(int, plus_plus(int, one_one(int), semiring_1_of_nat(int, n)), number_number_of(nat, bit0(bit1(pls)))) = zero_zero(int))],extension(1)).
% 0.74/1.42 %-----------------------------------------------------
% 0.74/1.42
% 0.74/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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