TSTP Solution File: NUM925+8 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM925+8 : 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 11:45:53 EDT 2022
% Result : Theorem 7.88s 8.67s
% Output : Proof 7.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM925+8 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 8 02:10:22 EDT 2022
% 0.14/0.34 % CPUTime :
% 7.88/8.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.88/8.68 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.88/8.68
% 7.88/8.68 %-----------------------------------------------------
% 7.88/8.68 fof(conj_0, conjecture, (! hAPP(nat, int, hAPP(int, fun(nat, int), power_power(int), hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n))), hAPP(int, nat, number_number_of(nat), hAPP(int, int, bit0, hAPP(int, int, bit1, pls))))) = zero_zero(int), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)).
% 7.88/8.68 fof(fact_0_n1pos, axiom, hBOOL(hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_0_n1pos)).
% 7.88/8.68 fof(fact_5_zero__eq__power2, axiom, ! [_2543514] : (ring_11004092258visors(_2543514) => ! [_2543529] : (hAPP(nat, _2543514, hAPP(_2543514, fun(nat, _2543514), power_power(_2543514), _2543529), hAPP(int, nat, number_number_of(nat), hAPP(int, int, bit0, hAPP(int, int, bit1, pls)))) = zero_zero(_2543514) <=> ti(_2543514, _2543529) = zero_zero(_2543514))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_5_zero__eq__power2)).
% 7.88/8.68 fof(fact_98_zero__less__power2, axiom, ! [_2544039] : (linordered_idom(_2544039) => ! [_2544054] : (hBOOL(hAPP(_2544039, bool, hAPP(_2544039, fun(_2544039, bool), ord_less(_2544039), zero_zero(_2544039)), hAPP(nat, _2544039, hAPP(_2544039, fun(nat, _2544039), power_power(_2544039), _2544054), hAPP(int, nat, number_number_of(nat), hAPP(int, int, bit0, hAPP(int, int, bit1, pls)))))) <=> (! ti(_2544039, _2544054)) = zero_zero(_2544039))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_98_zero__less__power2)).
% 7.88/8.68 fof(fact_182_zero__less__power, axiom, ! [_2544642] : (linordered_semidom(_2544642) => ! [_2544657, _2544660] : (hBOOL(hAPP(_2544642, bool, hAPP(_2544642, fun(_2544642, bool), ord_less(_2544642), zero_zero(_2544642)), _2544660)) => hBOOL(hAPP(_2544642, bool, hAPP(_2544642, fun(_2544642, bool), ord_less(_2544642), zero_zero(_2544642)), hAPP(nat, _2544642, hAPP(_2544642, fun(nat, _2544642), power_power(_2544642), _2544660), _2544657))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_182_zero__less__power)).
% 7.88/8.68 fof(arity_Int_Oint___Rings_Oring__1__no__zero__divisors, axiom, ring_11004092258visors(int), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int_Oint___Rings_Oring__1__no__zero__divisors)).
% 7.88/8.68 fof(arity_Int_Oint___Rings_Olinordered__semidom, axiom, linordered_semidom(int), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int_Oint___Rings_Olinordered__semidom)).
% 7.88/8.68 fof(arity_Int_Oint___Rings_Olinordered__idom, axiom, linordered_idom(int), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int_Oint___Rings_Olinordered__idom)).
% 7.88/8.68
% 7.88/8.68 cnf(1, plain, [-(hAPP(nat, int, hAPP(int, fun(nat, int), power_power(int), hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n))), hAPP(int, nat, number_number_of(nat), hAPP(int, int, bit0, hAPP(int, int, bit1, pls)))) = zero_zero(int))], clausify(conj_0)).
% 7.88/8.68 cnf(2, plain, [-(hBOOL(hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n)))))], clausify(fact_0_n1pos)).
% 7.88/8.68 cnf(3, plain, [ring_11004092258visors(_637544), hAPP(nat, _637544, hAPP(_637544, fun(nat, _637544), power_power(_637544), _637547), hAPP(int, nat, number_number_of(nat), hAPP(int, int, bit0, hAPP(int, int, bit1, pls)))) = zero_zero(_637544), -(ti(_637544, _637547) = zero_zero(_637544))], clausify(fact_5_zero__eq__power2)).
% 7.88/8.68 cnf(4, plain, [linordered_idom(_642717), hBOOL(hAPP(_642717, bool, hAPP(_642717, fun(_642717, bool), ord_less(_642717), zero_zero(_642717)), hAPP(nat, _642717, hAPP(_642717, fun(nat, _642717), power_power(_642717), _642720), hAPP(int, nat, number_number_of(nat), hAPP(int, int, bit0, hAPP(int, int, bit1, pls)))))), ti(_642717, _642720) = zero_zero(_642717)], clausify(fact_98_zero__less__power2)).
% 7.88/8.68 cnf(5, plain, [linordered_semidom(_648414), hBOOL(hAPP(_648414, bool, hAPP(_648414, fun(_648414, bool), ord_less(_648414), zero_zero(_648414)), _648418)), -(hBOOL(hAPP(_648414, bool, hAPP(_648414, fun(_648414, bool), ord_less(_648414), zero_zero(_648414)), hAPP(nat, _648414, hAPP(_648414, fun(nat, _648414), power_power(_648414), _648418), _648417))))], clausify(fact_182_zero__less__power)).
% 7.88/8.68 cnf(6, plain, [-(ring_11004092258visors(int))], clausify(arity_Int_Oint___Rings_Oring__1__no__zero__divisors)).
% 7.88/8.68 cnf(7, plain, [-(linordered_semidom(int))], clausify(arity_Int_Oint___Rings_Olinordered__semidom)).
% 7.88/8.68 cnf(8, plain, [-(linordered_idom(int))], clausify(arity_Int_Oint___Rings_Olinordered__idom)).
% 7.88/8.68
% 7.88/8.68 cnf('1',plain,[linordered_idom(int), hBOOL(hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), hAPP(nat, int, hAPP(int, fun(nat, int), power_power(int), hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n))), hAPP(int, nat, number_number_of(nat), hAPP(int, int, bit0, hAPP(int, int, bit1, pls)))))), ti(int, hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n))) = zero_zero(int)],start(4,bind([[_642720, _642717], [hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n)), int]]))).
% 7.88/8.68 cnf('1.1',plain,[-(linordered_idom(int))],extension(8)).
% 7.88/8.68 cnf('1.2',plain,[-(hBOOL(hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), hAPP(nat, int, hAPP(int, fun(nat, int), power_power(int), hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n))), hAPP(int, nat, number_number_of(nat), hAPP(int, int, bit0, hAPP(int, int, bit1, pls))))))), linordered_semidom(int), hBOOL(hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n))))],extension(5,bind([[_648417, _648414, _648418], [hAPP(int, nat, number_number_of(nat), hAPP(int, int, bit0, hAPP(int, int, bit1, pls))), int, hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n))]]))).
% 7.88/8.68 cnf('1.2.1',plain,[-(linordered_semidom(int))],extension(7)).
% 7.88/8.68 cnf('1.2.2',plain,[-(hBOOL(hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n)))))],extension(2)).
% 7.88/8.68 cnf('1.3',plain,[-(ti(int, hAPP(int, int, hAPP(int, fun(int, 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, hAPP(int, fun(nat, int), power_power(int), hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n))), hAPP(int, nat, number_number_of(nat), hAPP(int, int, bit0, hAPP(int, int, bit1, pls)))) = zero_zero(int)],extension(3,bind([[_637547, _637544], [hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n)), int]]))).
% 7.88/8.68 cnf('1.3.1',plain,[-(ring_11004092258visors(int))],extension(6)).
% 7.88/8.68 cnf('1.3.2',plain,[-(hAPP(nat, int, hAPP(int, fun(nat, int), power_power(int), hAPP(int, int, hAPP(int, fun(int, int), plus_plus(int), one_one(int)), hAPP(nat, int, semiring_1_of_nat(int), n))), hAPP(int, nat, number_number_of(nat), hAPP(int, int, bit0, hAPP(int, int, bit1, pls)))) = zero_zero(int))],extension(1)).
% 7.88/8.68 %-----------------------------------------------------
% 7.88/8.69
% 7.88/8.69 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------