TSTP Solution File: NUM925+7 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM925+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 11:45:52 EDT 2022
% Result : Theorem 1.16s 1.39s
% Output : Proof 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM925+7 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n004.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 : Thu Jul 7 04:48:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.16/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.16/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.16/1.40
% 1.16/1.40 %-----------------------------------------------------
% 1.16/1.40 fof(conj_0, conjecture, (! hAPP(nat, int, power_power(int, plus_plus(int, one_one(int), hAPP(nat, 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)).
% 1.16/1.40 fof(fact_0_n1pos, axiom, hBOOL(hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0_n1pos)).
% 1.16/1.40 fof(fact_5_zero__eq__power2, axiom, ! [_453382] : (ring_11004092258visors(_453382) => ! [_453397] : (hAPP(nat, _453382, power_power(_453382, _453397), number_number_of(nat, bit0(bit1(pls)))) = zero_zero(_453382) <=> ti(_453382, _453397) = zero_zero(_453382))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_5_zero__eq__power2)).
% 1.16/1.40 fof(fact_95_zero__less__power2, axiom, ! [_453799] : (linordered_idom(_453799) => ! [_453814] : (hBOOL(hAPP(_453799, bool, hAPP(_453799, fun(_453799, bool), ord_less(_453799), zero_zero(_453799)), hAPP(nat, _453799, power_power(_453799, _453814), number_number_of(nat, bit0(bit1(pls)))))) <=> (! ti(_453799, _453814)) = zero_zero(_453799))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_95_zero__less__power2)).
% 1.16/1.40 fof(fact_179_zero__less__power, axiom, ! [_454298] : (linordered_semidom(_454298) => ! [_454313, _454316] : (hBOOL(hAPP(_454298, bool, hAPP(_454298, fun(_454298, bool), ord_less(_454298), zero_zero(_454298)), _454316)) => hBOOL(hAPP(_454298, bool, hAPP(_454298, fun(_454298, bool), ord_less(_454298), zero_zero(_454298)), hAPP(nat, _454298, power_power(_454298, _454316), _454313))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_179_zero__less__power)).
% 1.16/1.40 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)).
% 1.16/1.40 fof(arity_Int_Oint___Rings_Olinordered__semidom, axiom, linordered_semidom(int), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Int_Oint___Rings_Olinordered__semidom)).
% 1.16/1.40 fof(arity_Int_Oint___Rings_Olinordered__idom, axiom, linordered_idom(int), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Int_Oint___Rings_Olinordered__idom)).
% 1.16/1.40
% 1.16/1.40 cnf(1, plain, [-(hAPP(nat, int, power_power(int, plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n))), number_number_of(nat, bit0(bit1(pls)))) = zero_zero(int))], clausify(conj_0)).
% 1.16/1.40 cnf(2, plain, [-(hBOOL(hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n)))))], clausify(fact_0_n1pos)).
% 1.16/1.40 cnf(3, plain, [ring_11004092258visors(_85533), hAPP(nat, _85533, power_power(_85533, _85536), number_number_of(nat, bit0(bit1(pls)))) = zero_zero(_85533), -(ti(_85533, _85536) = zero_zero(_85533))], clausify(fact_5_zero__eq__power2)).
% 1.16/1.40 cnf(4, plain, [linordered_idom(_89343), hBOOL(hAPP(_89343, bool, hAPP(_89343, fun(_89343, bool), ord_less(_89343), zero_zero(_89343)), hAPP(nat, _89343, power_power(_89343, _89346), number_number_of(nat, bit0(bit1(pls)))))), ti(_89343, _89346) = zero_zero(_89343)], clausify(fact_95_zero__less__power2)).
% 1.16/1.40 cnf(5, plain, [linordered_semidom(_94097), hBOOL(hAPP(_94097, bool, hAPP(_94097, fun(_94097, bool), ord_less(_94097), zero_zero(_94097)), _94101)), -(hBOOL(hAPP(_94097, bool, hAPP(_94097, fun(_94097, bool), ord_less(_94097), zero_zero(_94097)), hAPP(nat, _94097, power_power(_94097, _94101), _94100))))], clausify(fact_179_zero__less__power)).
% 1.16/1.40 cnf(6, plain, [-(ring_11004092258visors(int))], clausify(arity_Int_Oint___Rings_Oring__1__no__zero__divisors)).
% 1.16/1.40 cnf(7, plain, [-(linordered_semidom(int))], clausify(arity_Int_Oint___Rings_Olinordered__semidom)).
% 1.16/1.40 cnf(8, plain, [-(linordered_idom(int))], clausify(arity_Int_Oint___Rings_Olinordered__idom)).
% 1.16/1.40
% 1.16/1.40 cnf('1',plain,[linordered_idom(int), hBOOL(hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), hAPP(nat, int, power_power(int, plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n))), number_number_of(nat, bit0(bit1(pls)))))), ti(int, plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n))) = zero_zero(int)],start(4,bind([[_89346, _89343], [plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n)), int]]))).
% 1.16/1.40 cnf('1.1',plain,[-(linordered_idom(int))],extension(8)).
% 1.16/1.40 cnf('1.2',plain,[-(hBOOL(hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), hAPP(nat, int, power_power(int, plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n))), number_number_of(nat, bit0(bit1(pls))))))), linordered_semidom(int), hBOOL(hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n))))],extension(5,bind([[_94100, _94097, _94101], [number_number_of(nat, bit0(bit1(pls))), int, plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n))]]))).
% 1.16/1.40 cnf('1.2.1',plain,[-(linordered_semidom(int))],extension(7)).
% 1.16/1.40 cnf('1.2.2',plain,[-(hBOOL(hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n)))))],extension(2)).
% 1.16/1.40 cnf('1.3',plain,[-(ti(int, plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n))) = zero_zero(int)), ring_11004092258visors(int), hAPP(nat, int, power_power(int, plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n))), number_number_of(nat, bit0(bit1(pls)))) = zero_zero(int)],extension(3,bind([[_85536, _85533], [plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n)), int]]))).
% 1.16/1.40 cnf('1.3.1',plain,[-(ring_11004092258visors(int))],extension(6)).
% 1.16/1.40 cnf('1.3.2',plain,[-(hAPP(nat, int, power_power(int, plus_plus(int, one_one(int), hAPP(nat, int, semiring_1_of_nat(int), n))), number_number_of(nat, bit0(bit1(pls)))) = zero_zero(int))],extension(1)).
% 1.16/1.40 %-----------------------------------------------------
% 1.16/1.40
% 1.16/1.40 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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