TSTP Solution File: SWV488+3 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWV488+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n027.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 : Wed Jul 20 19:51:14 EDT 2022

% Result   : Theorem 29.72s 29.32s
% Output   : Proof 29.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV488+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 00:49:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 29.72/29.32  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.73/29.33  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.73/29.34  
% 29.73/29.34  %-----------------------------------------------------
% 29.73/29.34  fof(qii, hypothesis, ! [_29556, _29559] : (int_leq(int_one, _29556) & int_leq(_29556, n) & int_leq(int_one, _29559) & int_leq(_29559, n) => ! [_29607] : (int_less(int_zero, _29607) & _29556 = plus(_29559, _29607) => ! [_29638] : (int_leq(int_one, _29638) & int_leq(_29638, _29559) => a(plus(_29638, _29607), _29638) = real_zero)) & ! [_29638] : (int_leq(int_one, _29638) & int_leq(_29638, _29559) => a(_29638, _29638) = real_one) & ! [_29607] : (int_less(int_zero, _29607) & _29559 = plus(_29556, _29607) => ! [_29638] : (int_leq(int_one, _29638) & int_leq(_29638, _29556) => a(_29638, plus(_29638, _29607)) = real_zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', qii)).
% 29.73/29.34  fof(uti, conjecture, ! [_30366, _30369] : (int_leq(int_one, _30369) & int_leq(_30369, _30366) & int_leq(_30366, n) => _30366 = _30369 => (! a(_30366, _30369)) = real_zero), file('/export/starexec/sandbox/benchmark/theBenchmark.p', uti)).
% 29.73/29.34  fof(real_constants, axiom, (! real_zero) = real_one, file('/export/starexec/sandbox/benchmark/theBenchmark.p', real_constants)).
% 29.73/29.34  
% 29.73/29.34  cnf(1, plain, [-(4 ^ [_15902, _15721]), -(a(_16997, _16997) = real_one), int_leq(int_one, _16997), int_leq(_16997, _15902)], clausify(qii)).
% 29.73/29.34  cnf(2, plain, [-(int_leq(int_one, 6 ^ []))], clausify(uti)).
% 29.73/29.34  cnf(3, plain, [-(int_leq(6 ^ [], 5 ^ []))], clausify(uti)).
% 29.73/29.34  cnf(4, plain, [-(int_leq(5 ^ [], n))], clausify(uti)).
% 29.73/29.34  cnf(5, plain, [-(5 ^ [] = 6 ^ [])], clausify(uti)).
% 29.73/29.34  cnf(6, plain, [-(a(5 ^ [], 6 ^ []) = real_zero)], clausify(uti)).
% 29.73/29.34  cnf(7, plain, [-(a(_10726, _10859) = a(_10793, _10924)), _10726 = _10793, _10859 = _10924], theory(equality)).
% 29.73/29.34  cnf(8, plain, [-(_8550 = _8550)], theory(equality)).
% 29.73/29.34  cnf(9, plain, [_8703 = _8748, -(_8748 = _8703)], theory(equality)).
% 29.73/29.34  cnf(10, plain, [-(_8982 = _9093), _8982 = _9038, _9038 = _9093], theory(equality)).
% 29.73/29.34  cnf(11, plain, [-(int_leq(_9525, _9656)), int_leq(_9458, _9591), _9458 = _9525, _9591 = _9656], theory(equality)).
% 29.73/29.34  cnf(12, plain, [real_zero = real_one], clausify(real_constants)).
% 29.73/29.34  cnf(13, plain, [int_leq(_15902, n), int_leq(int_one, _15902), int_leq(_15721, n), int_leq(int_one, _15721), 4 ^ [_15902, _15721]], clausify(qii)).
% 29.73/29.34  
% 29.73/29.34  cnf('1',plain,[-(int_leq(int_one, 6 ^ []))],start(2)).
% 29.73/29.34  cnf('1.1',plain,[int_leq(int_one, 6 ^ []), -(4 ^ [5 ^ [], 5 ^ []]), -(a(6 ^ [], 6 ^ []) = real_one), int_leq(6 ^ [], 5 ^ [])],extension(1,bind([[_15721, _16997, _15902], [5 ^ [], 6 ^ [], 5 ^ []]]))).
% 29.73/29.34  cnf('1.1.1',plain,[4 ^ [5 ^ [], 5 ^ []], int_leq(5 ^ [], n), int_leq(int_one, 5 ^ []), int_leq(5 ^ [], n), int_leq(int_one, 5 ^ [])],extension(13,bind([[_15902, _15721], [5 ^ [], 5 ^ []]]))).
% 29.73/29.34  cnf('1.1.1.1',plain,[-(int_leq(5 ^ [], n))],extension(4)).
% 29.73/29.34  cnf('1.1.1.2',plain,[-(int_leq(int_one, 5 ^ [])), int_leq(int_one, 6 ^ []), int_one = int_one, 6 ^ [] = 5 ^ []],extension(11,bind([[_9458, _9525, _9591, _9656], [int_one, int_one, 6 ^ [], 5 ^ []]]))).
% 29.73/29.34  cnf('1.1.1.2.1',plain,[-(int_leq(int_one, 6 ^ []))],extension(2)).
% 29.73/29.34  cnf('1.1.1.2.2',plain,[-(int_one = int_one)],extension(8,bind([[_8550], [int_one]]))).
% 29.73/29.34  cnf('1.1.1.2.3',plain,[-(6 ^ [] = 5 ^ []), 5 ^ [] = 6 ^ []],extension(9,bind([[_8703, _8748], [5 ^ [], 6 ^ []]]))).
% 29.73/29.34  cnf('1.1.1.2.3.1',plain,[-(5 ^ [] = 6 ^ [])],extension(5)).
% 29.73/29.34  cnf('1.1.1.3',plain,[-(int_leq(5 ^ [], n))],extension(4)).
% 29.73/29.34  cnf('1.1.1.4',plain,[-(int_leq(int_one, 5 ^ []))],lemmata('1.1.1')).
% 29.73/29.34  cnf('1.1.2',plain,[a(6 ^ [], 6 ^ []) = real_one, -(a(5 ^ [], 6 ^ []) = real_one), a(5 ^ [], 6 ^ []) = a(6 ^ [], 6 ^ [])],extension(10,bind([[_9093, _8982, _9038], [real_one, a(5 ^ [], 6 ^ []), a(6 ^ [], 6 ^ [])]]))).
% 29.73/29.34  cnf('1.1.2.1',plain,[a(5 ^ [], 6 ^ []) = real_one, -(real_one = a(5 ^ [], 6 ^ []))],extension(9,bind([[_8748, _8703], [real_one, a(5 ^ [], 6 ^ [])]]))).
% 29.73/29.34  cnf('1.1.2.1.1',plain,[real_one = a(5 ^ [], 6 ^ []), -(real_one = real_zero), a(5 ^ [], 6 ^ []) = real_zero],extension(10,bind([[_8982, _9038, _9093], [real_one, a(5 ^ [], 6 ^ []), real_zero]]))).
% 29.73/29.34  cnf('1.1.2.1.1.1',plain,[real_one = real_zero, -(real_zero = real_one)],extension(9,bind([[_8748, _8703], [real_zero, real_one]]))).
% 29.73/29.34  cnf('1.1.2.1.1.1.1',plain,[real_zero = real_one],extension(12)).
% 29.73/29.34  cnf('1.1.2.1.1.2',plain,[-(a(5 ^ [], 6 ^ []) = real_zero)],extension(6)).
% 29.73/29.34  cnf('1.1.2.2',plain,[-(a(5 ^ [], 6 ^ []) = a(6 ^ [], 6 ^ [])), 5 ^ [] = 6 ^ [], 6 ^ [] = 6 ^ []],extension(7,bind([[_10726, _10793, _10859, _10924], [5 ^ [], 6 ^ [], 6 ^ [], 6 ^ []]]))).
% 29.73/29.34  cnf('1.1.2.2.1',plain,[-(5 ^ [] = 6 ^ [])],extension(5)).
% 29.73/29.34  cnf('1.1.2.2.2',plain,[-(6 ^ [] = 6 ^ [])],extension(8,bind([[_8550], [6 ^ []]]))).
% 29.73/29.34  cnf('1.1.3',plain,[-(int_leq(6 ^ [], 5 ^ []))],extension(3)).
% 29.73/29.34  %-----------------------------------------------------
% 29.73/29.34  
% 29.73/29.34  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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