TSTP Solution File: SWV488+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV488+2 : 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 30.14s 29.44s
% Output : Proof 30.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV488+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 15 15:29:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 30.14/29.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.14/29.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.14/29.45
% 30.14/29.45 %-----------------------------------------------------
% 30.14/29.45 fof(qil, hypothesis, ! [_30660, _30663] : (int_leq(int_one, _30660) & int_leq(_30660, n) & int_leq(int_one, _30663) & int_leq(_30663, n) => ! [_30711] : (int_less(int_zero, _30711) & _30660 = plus(_30663, _30711) => ! [_30742] : (int_leq(int_one, _30742) & int_leq(_30742, _30663) => a(plus(_30742, _30711), _30742) = lu(plus(_30742, _30711), _30742))) & ! [_30742] : (int_leq(int_one, _30742) & int_leq(_30742, _30663) => a(_30742, _30742) = real_one) & ! [_30711] : (int_less(int_zero, _30711) & _30663 = plus(_30660, _30711) => ! [_30742] : (int_leq(int_one, _30742) & int_leq(_30742, _30660) => a(_30742, plus(_30742, _30711)) = real_zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', qil)).
% 30.14/29.45 fof(lti, conjecture, ! [_31502, _31505] : (int_leq(int_one, _31502) & int_leq(_31502, _31505) & int_leq(_31505, n) => _31502 = _31505 => (! a(_31502, _31505)) = real_zero), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lti)).
% 30.14/29.45 fof(real_constants, axiom, (! real_zero) = real_one, file('/export/starexec/sandbox/benchmark/theBenchmark.p', real_constants)).
% 30.14/29.45
% 30.14/29.45 cnf(1, plain, [-(4 ^ [_16722, _16535]), -(a(_17909, _17909) = real_one), int_leq(int_one, _17909), int_leq(_17909, _16722)], clausify(qil)).
% 30.14/29.45 cnf(2, plain, [-(int_leq(int_one, 5 ^ []))], clausify(lti)).
% 30.14/29.45 cnf(3, plain, [-(int_leq(5 ^ [], 6 ^ []))], clausify(lti)).
% 30.14/29.45 cnf(4, plain, [-(int_leq(6 ^ [], n))], clausify(lti)).
% 30.14/29.45 cnf(5, plain, [-(5 ^ [] = 6 ^ [])], clausify(lti)).
% 30.14/29.45 cnf(6, plain, [-(a(5 ^ [], 6 ^ []) = real_zero)], clausify(lti)).
% 30.14/29.45 cnf(7, plain, [-(a(_10901, _11034) = a(_10968, _11099)), _10901 = _10968, _11034 = _11099], theory(equality)).
% 30.14/29.45 cnf(8, plain, [-(_8725 = _8725)], theory(equality)).
% 30.14/29.45 cnf(9, plain, [_8878 = _8923, -(_8923 = _8878)], theory(equality)).
% 30.14/29.45 cnf(10, plain, [-(_9157 = _9268), _9157 = _9213, _9213 = _9268], theory(equality)).
% 30.14/29.45 cnf(11, plain, [-(int_leq(_9700, _9831)), int_leq(_9633, _9766), _9633 = _9700, _9766 = _9831], theory(equality)).
% 30.14/29.45 cnf(12, plain, [real_zero = real_one], clausify(real_constants)).
% 30.14/29.45 cnf(13, plain, [int_leq(_16722, n), int_leq(int_one, _16722), int_leq(_16535, n), int_leq(int_one, _16535), 4 ^ [_16722, _16535]], clausify(qil)).
% 30.14/29.45
% 30.14/29.45 cnf('1',plain,[-(int_leq(int_one, 5 ^ []))],start(2)).
% 30.14/29.45 cnf('1.1',plain,[int_leq(int_one, 5 ^ []), -(4 ^ [6 ^ [], 6 ^ []]), -(a(5 ^ [], 5 ^ []) = real_one), int_leq(5 ^ [], 6 ^ [])],extension(1,bind([[_16535, _17909, _16722], [6 ^ [], 5 ^ [], 6 ^ []]]))).
% 30.14/29.45 cnf('1.1.1',plain,[4 ^ [6 ^ [], 6 ^ []], int_leq(6 ^ [], n), int_leq(int_one, 6 ^ []), int_leq(6 ^ [], n), int_leq(int_one, 6 ^ [])],extension(13,bind([[_16722, _16535], [6 ^ [], 6 ^ []]]))).
% 30.14/29.45 cnf('1.1.1.1',plain,[-(int_leq(6 ^ [], n))],extension(4)).
% 30.14/29.45 cnf('1.1.1.2',plain,[-(int_leq(int_one, 6 ^ [])), int_leq(int_one, 5 ^ []), int_one = int_one, 5 ^ [] = 6 ^ []],extension(11,bind([[_9633, _9700, _9766, _9831], [int_one, int_one, 5 ^ [], 6 ^ []]]))).
% 30.14/29.45 cnf('1.1.1.2.1',plain,[-(int_leq(int_one, 5 ^ []))],extension(2)).
% 30.14/29.45 cnf('1.1.1.2.2',plain,[-(int_one = int_one)],extension(8,bind([[_8725], [int_one]]))).
% 30.14/29.45 cnf('1.1.1.2.3',plain,[-(5 ^ [] = 6 ^ [])],extension(5)).
% 30.14/29.45 cnf('1.1.1.3',plain,[-(int_leq(6 ^ [], n))],extension(4)).
% 30.14/29.45 cnf('1.1.1.4',plain,[-(int_leq(int_one, 6 ^ []))],lemmata('1.1.1')).
% 30.14/29.45 cnf('1.1.2',plain,[a(5 ^ [], 5 ^ []) = real_one, -(a(5 ^ [], 6 ^ []) = real_one), a(5 ^ [], 6 ^ []) = a(5 ^ [], 5 ^ [])],extension(10,bind([[_9268, _9157, _9213], [real_one, a(5 ^ [], 6 ^ []), a(5 ^ [], 5 ^ [])]]))).
% 30.14/29.45 cnf('1.1.2.1',plain,[a(5 ^ [], 6 ^ []) = real_one, -(real_one = a(5 ^ [], 6 ^ []))],extension(9,bind([[_8923, _8878], [real_one, a(5 ^ [], 6 ^ [])]]))).
% 30.14/29.45 cnf('1.1.2.1.1',plain,[real_one = a(5 ^ [], 6 ^ []), -(real_one = real_zero), a(5 ^ [], 6 ^ []) = real_zero],extension(10,bind([[_9157, _9213, _9268], [real_one, a(5 ^ [], 6 ^ []), real_zero]]))).
% 30.14/29.45 cnf('1.1.2.1.1.1',plain,[real_one = real_zero, -(real_zero = real_one)],extension(9,bind([[_8923, _8878], [real_zero, real_one]]))).
% 30.14/29.45 cnf('1.1.2.1.1.1.1',plain,[real_zero = real_one],extension(12)).
% 30.14/29.45 cnf('1.1.2.1.1.2',plain,[-(a(5 ^ [], 6 ^ []) = real_zero)],extension(6)).
% 30.14/29.45 cnf('1.1.2.2',plain,[-(a(5 ^ [], 6 ^ []) = a(5 ^ [], 5 ^ [])), 5 ^ [] = 5 ^ [], 6 ^ [] = 5 ^ []],extension(7,bind([[_10901, _10968, _11034, _11099], [5 ^ [], 5 ^ [], 6 ^ [], 5 ^ []]]))).
% 30.14/29.45 cnf('1.1.2.2.1',plain,[-(5 ^ [] = 5 ^ [])],extension(8,bind([[_8725], [5 ^ []]]))).
% 30.14/29.45 cnf('1.1.2.2.2',plain,[-(6 ^ [] = 5 ^ []), 5 ^ [] = 6 ^ []],extension(9,bind([[_8878, _8923], [5 ^ [], 6 ^ []]]))).
% 30.14/29.45 cnf('1.1.2.2.2.1',plain,[-(5 ^ [] = 6 ^ [])],extension(5)).
% 30.14/29.45 cnf('1.1.3',plain,[-(int_leq(5 ^ [], 6 ^ []))],extension(3)).
% 30.14/29.45 %-----------------------------------------------------
% 30.14/29.45
% 30.14/29.46 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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