TSTP Solution File: NUM924+6 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : NUM924+6 : TPTP v8.1.0. Released v5.3.0.
% 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 : Mon Jul 18 11:45:47 EDT 2022

% Result   : Theorem 112.61s 109.82s
% Output   : Proof 112.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM924+6 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.11  % Command  : leancop_casc.sh %s %d
% 0.11/0.32  % Computer : n023.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue Jul  5 21:50:12 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 112.61/109.82  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 112.61/109.83  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 112.61/109.84  
% 112.61/109.84  %-----------------------------------------------------
% 112.61/109.84  fof(conj_0, conjecture, ord_less(int, plus_plus(int, power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), one_one(int)), zero_zero(int)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)).
% 112.61/109.84  fof(fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096, axiom, ord_less(int, times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t), times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), zero_zero(int))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096)).
% 112.61/109.84  fof(fact_3_t, axiom, plus_plus(int, power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), one_one(int)) = times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_3_t)).
% 112.61/109.84  fof(fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J, axiom, ! [_425336] : (comm_semiring_1(_425336) => ! [_425351] : times_times(_425336, _425351, zero_zero(_425336)) = zero_zero(_425336)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J)).
% 112.61/109.84  fof(arity_Int_Oint___Rings_Ocomm__semiring__1, axiom, comm_semiring_1(int), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int_Oint___Rings_Ocomm__semiring__1)).
% 112.61/109.84  
% 112.61/109.84  cnf(1, plain, [ord_less(int, plus_plus(int, power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), one_one(int)), zero_zero(int))], clausify(conj_0)).
% 112.61/109.84  cnf(2, plain, [-(_30731 = _30731)], theory(equality)).
% 112.61/109.84  cnf(3, plain, [_30745 = _30746, -(_30746 = _30745)], theory(equality)).
% 112.61/109.84  cnf(4, plain, [-(ord_less(_31456, _31458, _31460)), ord_less(_31455, _31457, _31459), _31455 = _31456, _31457 = _31458, _31459 = _31460], theory(equality)).
% 112.61/109.84  cnf(5, plain, [-(ord_less(int, times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t), times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), zero_zero(int))))], clausify(fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096)).
% 112.61/109.84  cnf(6, plain, [-(plus_plus(int, power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), one_one(int)) = times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t))], clausify(fact_3_t)).
% 112.61/109.84  cnf(7, plain, [comm_semiring_1(_71428), -(times_times(_71428, _71518, zero_zero(_71428)) = zero_zero(_71428))], clausify(fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J)).
% 112.61/109.84  cnf(8, plain, [-(comm_semiring_1(int))], clausify(arity_Int_Oint___Rings_Ocomm__semiring__1)).
% 112.61/109.84  
% 112.61/109.84  cnf('1',plain,[ord_less(int, plus_plus(int, power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), one_one(int)), zero_zero(int))],start(1)).
% 112.61/109.84  cnf('1.1',plain,[-(ord_less(int, plus_plus(int, power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), one_one(int)), zero_zero(int))), ord_less(int, times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t), times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), zero_zero(int))), int = int, times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t) = plus_plus(int, power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), one_one(int)), times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), zero_zero(int)) = zero_zero(int)],extension(4,bind([[_31455, _31456, _31457, _31458, _31459, _31460], [int, int, times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t), plus_plus(int, power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), one_one(int)), times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), zero_zero(int)), zero_zero(int)]]))).
% 112.61/109.84  cnf('1.1.1',plain,[-(ord_less(int, times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t), times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), zero_zero(int))))],extension(5)).
% 112.61/109.84  cnf('1.1.2',plain,[-(int = int)],extension(2,bind([[_30731], [int]]))).
% 112.61/109.84  cnf('1.1.3',plain,[-(times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t) = plus_plus(int, power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), one_one(int))), plus_plus(int, power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), one_one(int)) = times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t)],extension(3,bind([[_30745, _30746], [plus_plus(int, power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), one_one(int)), times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t)]]))).
% 112.61/109.84  cnf('1.1.3.1',plain,[-(plus_plus(int, power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), one_one(int)) = times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), t))],extension(6)).
% 112.61/109.84  cnf('1.1.4',plain,[-(times_times(int, plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), zero_zero(int)) = zero_zero(int)), comm_semiring_1(int)],extension(7,bind([[_71518, _71428], [plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), int]]))).
% 112.61/109.84  cnf('1.1.4.1',plain,[-(comm_semiring_1(int))],extension(8)).
% 112.61/109.84  %-----------------------------------------------------
% 112.61/109.84  
% 112.61/109.84  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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