TSTP Solution File: KRS098+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 : Sun Jul 17 03:13:41 EDT 2022
% Result : Unsatisfiable 1.25s 2.44s
% Output : Proof 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n021.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 : Tue Jun 7 19:59:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.25/2.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.25/2.45 % SZS output start Proof for negated /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.25/2.45
% 1.25/2.45 %-----------------------------------------------------
% 1.25/2.45 fof(axiom_2, axiom, ! [_72429] : (cUnsatisfiable(_72429) <=> ? [_72444] : (rr3(_72429, _72444) & ? [_72462] : (rt3(_72444, _72462) & ce(_72462)) & ! [_72487, _72490] : (rtt(_72444, _72487) & rtt(_72444, _72490) => _72487 = _72490)) & ? [_72444] : (rr2(_72429, _72444) & ! [_72487, _72490] : (rtt(_72444, _72487) & rtt(_72444, _72490) => _72487 = _72490) & ? [_72462] : (rt2(_72444, _72462) & cd(_72462))) & ~ ? [_72602, _72605] : (rr(_72429, _72602) & rr(_72429, _72605) & (! _72602) = _72605) & ? [_72444] : (rr1(_72429, _72444) & ! [_72487, _72490] : (rtt(_72444, _72487) & rtt(_72444, _72490) => _72487 = _72490) & ? [_72462] : (rt1(_72444, _72462) & cc(_72462)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_2)).
% 1.25/2.45 fof(cc_substitution_1, axiom, ! [_73513, _73516] : (_73513 = _73516 & cc(_73513) => cc(_73516)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc_substitution_1)).
% 1.25/2.45 fof(rtt_substitution_1, axiom, ! [_73687, _73690, _73693] : (_73687 = _73690 & rtt(_73687, _73693) => rtt(_73690, _73693)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rtt_substitution_1)).
% 1.25/2.45 fof(axiom_4, axiom, cUnsatisfiable(i2003_11_14_17_20_25524), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_4)).
% 1.25/2.45 fof(axiom_5, axiom, ! [_73936] : ~ (cc(_73936) & cd(_73936)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_5)).
% 1.25/2.45 fof(axiom_8, axiom, ! [_74066, _74069] : (rr1(_74066, _74069) => rr(_74066, _74069)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_8)).
% 1.25/2.45 fof(axiom_9, axiom, ! [_74212, _74215] : (rr2(_74212, _74215) => rr(_74212, _74215)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_9)).
% 1.25/2.45 fof(axiom_10, axiom, ! [_74358, _74361] : (rt1(_74358, _74361) => rtt(_74358, _74361)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_10)).
% 1.25/2.45 fof(axiom_11, axiom, ! [_74504, _74507] : (rt2(_74504, _74507) => rtt(_74504, _74507)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_11)).
% 1.25/2.45
% 1.25/2.45 cnf(1, plain, [-(7 ^ [_39788]), -(cc(6 ^ [_39788]))], clausify(axiom_2)).
% 1.25/2.45 cnf(2, plain, [-(7 ^ [_39788]), -(rt1(5 ^ [_39788], 6 ^ [_39788]))], clausify(axiom_2)).
% 1.25/2.45 cnf(3, plain, [-(7 ^ [_39788]), -(rr1(_39788, 5 ^ [_39788]))], clausify(axiom_2)).
% 1.25/2.45 cnf(4, plain, [-(7 ^ [_39788]), rr(_39788, _41443), rr(_39788, _41501), -(_41443 = _41501)], clausify(axiom_2)).
% 1.25/2.45 cnf(5, plain, [-(7 ^ [_39788]), -(_50376 = _50381), rtt(3 ^ [_39788], _50376), rtt(3 ^ [_39788], _50381)], clausify(axiom_2)).
% 1.25/2.45 cnf(6, plain, [-(7 ^ [_39788]), -(cd(4 ^ [_39788]))], clausify(axiom_2)).
% 1.25/2.45 cnf(7, plain, [-(7 ^ [_39788]), -(rt2(3 ^ [_39788], 4 ^ [_39788]))], clausify(axiom_2)).
% 1.25/2.45 cnf(8, plain, [-(7 ^ [_39788]), -(rr2(_39788, 3 ^ [_39788]))], clausify(axiom_2)).
% 1.25/2.45 cnf(9, plain, [-(cc(_29459)), _29410 = _29459, cc(_29410)], clausify(cc_substitution_1)).
% 1.25/2.45 cnf(10, plain, [-(rtt(_37754, _37809)), _37698 = _37754, rtt(_37698, _37809)], clausify(rtt_substitution_1)).
% 1.25/2.45 cnf(11, plain, [cUnsatisfiable(_39788), 7 ^ [_39788]], clausify(axiom_2)).
% 1.25/2.45 cnf(12, plain, [-(cUnsatisfiable(i2003_11_14_17_20_25524))], clausify(axiom_4)).
% 1.25/2.45 cnf(13, plain, [cc(_42997), cd(_42997)], clausify(axiom_5)).
% 1.25/2.45 cnf(14, plain, [rr1(_43681, _43726), -(rr(_43681, _43726))], clausify(axiom_8)).
% 1.25/2.45 cnf(15, plain, [rr2(_43991, _44036), -(rr(_43991, _44036))], clausify(axiom_9)).
% 1.25/2.45 cnf(16, plain, [rt1(_44301, _44346), -(rtt(_44301, _44346))], clausify(axiom_10)).
% 1.25/2.45 cnf(17, plain, [rt2(_44611, _44656), -(rtt(_44611, _44656))], clausify(axiom_11)).
% 1.25/2.45 cnf(18, plain, [-(_19575 = _19575)], theory(equality)).
% 1.25/2.45 cnf(19, plain, [_19728 = _19773, -(_19773 = _19728)], theory(equality)).
% 1.25/2.45 cnf(20, plain, [-(rt2(_25973, _26104)), rt2(_25906, _26039), _25906 = _25973, _26039 = _26104], theory(equality)).
% 1.25/2.45
% 1.25/2.45 cnf('1',plain,[cUnsatisfiable(i2003_11_14_17_20_25524), 7 ^ [i2003_11_14_17_20_25524]],start(11,bind([[_39788], [i2003_11_14_17_20_25524]]))).
% 1.25/2.45 cnf('1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_20_25524))],extension(12)).
% 1.25/2.45 cnf('1.2',plain,[-(7 ^ [i2003_11_14_17_20_25524]), -(4 ^ [i2003_11_14_17_20_25524] = 6 ^ [i2003_11_14_17_20_25524]), rtt(3 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524]), rtt(3 ^ [i2003_11_14_17_20_25524], 6 ^ [i2003_11_14_17_20_25524])],extension(5,bind([[_50376, _39788, _50381], [4 ^ [i2003_11_14_17_20_25524], i2003_11_14_17_20_25524, 6 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.1',plain,[4 ^ [i2003_11_14_17_20_25524] = 6 ^ [i2003_11_14_17_20_25524], -(6 ^ [i2003_11_14_17_20_25524] = 4 ^ [i2003_11_14_17_20_25524])],extension(19,bind([[_19773, _19728], [6 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.1.1',plain,[6 ^ [i2003_11_14_17_20_25524] = 4 ^ [i2003_11_14_17_20_25524], -(cc(4 ^ [i2003_11_14_17_20_25524])), cc(6 ^ [i2003_11_14_17_20_25524])],extension(9,bind([[_29459, _29410], [4 ^ [i2003_11_14_17_20_25524], 6 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.1.1.1',plain,[cc(4 ^ [i2003_11_14_17_20_25524]), cd(4 ^ [i2003_11_14_17_20_25524])],extension(13,bind([[_42997], [4 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.1.1.1.1',plain,[-(cd(4 ^ [i2003_11_14_17_20_25524])), -(7 ^ [i2003_11_14_17_20_25524])],extension(6,bind([[_39788], [i2003_11_14_17_20_25524]]))).
% 1.25/2.45 cnf('1.2.1.1.1.1.1',plain,[7 ^ [i2003_11_14_17_20_25524]],reduction('1')).
% 1.25/2.45 cnf('1.2.1.1.2',plain,[-(cc(6 ^ [i2003_11_14_17_20_25524])), -(7 ^ [i2003_11_14_17_20_25524])],extension(1,bind([[_39788], [i2003_11_14_17_20_25524]]))).
% 1.25/2.45 cnf('1.2.1.1.2.1',plain,[7 ^ [i2003_11_14_17_20_25524]],reduction('1')).
% 1.25/2.45 cnf('1.2.2',plain,[-(rtt(3 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524])), 5 ^ [i2003_11_14_17_20_25524] = 3 ^ [i2003_11_14_17_20_25524], rtt(5 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524])],extension(10,bind([[_37754, _37698, _37809], [3 ^ [i2003_11_14_17_20_25524], 5 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.2.1',plain,[-(5 ^ [i2003_11_14_17_20_25524] = 3 ^ [i2003_11_14_17_20_25524]), -(7 ^ [i2003_11_14_17_20_25524]), rr(i2003_11_14_17_20_25524, 5 ^ [i2003_11_14_17_20_25524]), rr(i2003_11_14_17_20_25524, 3 ^ [i2003_11_14_17_20_25524])],extension(4,bind([[_41443, _39788, _41501], [5 ^ [i2003_11_14_17_20_25524], i2003_11_14_17_20_25524, 3 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.2.1.1',plain,[7 ^ [i2003_11_14_17_20_25524]],reduction('1')).
% 1.25/2.45 cnf('1.2.2.1.2',plain,[-(rr(i2003_11_14_17_20_25524, 5 ^ [i2003_11_14_17_20_25524])), rr1(i2003_11_14_17_20_25524, 5 ^ [i2003_11_14_17_20_25524])],extension(14,bind([[_43681, _43726], [i2003_11_14_17_20_25524, 5 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.2.1.2.1',plain,[-(rr1(i2003_11_14_17_20_25524, 5 ^ [i2003_11_14_17_20_25524])), -(7 ^ [i2003_11_14_17_20_25524])],extension(3,bind([[_39788], [i2003_11_14_17_20_25524]]))).
% 1.25/2.45 cnf('1.2.2.1.2.1.1',plain,[7 ^ [i2003_11_14_17_20_25524]],lemmata('1.2.2.1')).
% 1.25/2.45 cnf('1.2.2.1.3',plain,[-(rr(i2003_11_14_17_20_25524, 3 ^ [i2003_11_14_17_20_25524])), rr2(i2003_11_14_17_20_25524, 3 ^ [i2003_11_14_17_20_25524])],extension(15,bind([[_43991, _44036], [i2003_11_14_17_20_25524, 3 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.2.1.3.1',plain,[-(rr2(i2003_11_14_17_20_25524, 3 ^ [i2003_11_14_17_20_25524])), -(7 ^ [i2003_11_14_17_20_25524])],extension(8,bind([[_39788], [i2003_11_14_17_20_25524]]))).
% 1.25/2.45 cnf('1.2.2.1.3.1.1',plain,[7 ^ [i2003_11_14_17_20_25524]],lemmata('1.2.2.1')).
% 1.25/2.45 cnf('1.2.2.2',plain,[-(rtt(5 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524])), rt2(5 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524])],extension(17,bind([[_44611, _44656], [5 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.2.2.1',plain,[-(rt2(5 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524])), rt2(3 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524]), 3 ^ [i2003_11_14_17_20_25524] = 5 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524] = 4 ^ [i2003_11_14_17_20_25524]],extension(20,bind([[_25906, _25973, _26039, _26104], [3 ^ [i2003_11_14_17_20_25524], 5 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.2.2.1.1',plain,[-(rt2(3 ^ [i2003_11_14_17_20_25524], 4 ^ [i2003_11_14_17_20_25524])), -(7 ^ [i2003_11_14_17_20_25524])],extension(7,bind([[_39788], [i2003_11_14_17_20_25524]]))).
% 1.25/2.45 cnf('1.2.2.2.1.1.1',plain,[7 ^ [i2003_11_14_17_20_25524]],reduction('1')).
% 1.25/2.45 cnf('1.2.2.2.1.2',plain,[-(3 ^ [i2003_11_14_17_20_25524] = 5 ^ [i2003_11_14_17_20_25524]), 5 ^ [i2003_11_14_17_20_25524] = 3 ^ [i2003_11_14_17_20_25524]],extension(19,bind([[_19728, _19773], [5 ^ [i2003_11_14_17_20_25524], 3 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.2.2.1.2.1',plain,[-(5 ^ [i2003_11_14_17_20_25524] = 3 ^ [i2003_11_14_17_20_25524])],lemmata('1.2.2')).
% 1.25/2.45 cnf('1.2.2.2.1.3',plain,[-(4 ^ [i2003_11_14_17_20_25524] = 4 ^ [i2003_11_14_17_20_25524])],extension(18,bind([[_19575], [4 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.3',plain,[-(rtt(3 ^ [i2003_11_14_17_20_25524], 6 ^ [i2003_11_14_17_20_25524])), 5 ^ [i2003_11_14_17_20_25524] = 3 ^ [i2003_11_14_17_20_25524], rtt(5 ^ [i2003_11_14_17_20_25524], 6 ^ [i2003_11_14_17_20_25524])],extension(10,bind([[_37754, _37698, _37809], [3 ^ [i2003_11_14_17_20_25524], 5 ^ [i2003_11_14_17_20_25524], 6 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.3.1',plain,[-(5 ^ [i2003_11_14_17_20_25524] = 3 ^ [i2003_11_14_17_20_25524]), -(7 ^ [i2003_11_14_17_20_25524]), rr(i2003_11_14_17_20_25524, 5 ^ [i2003_11_14_17_20_25524]), rr(i2003_11_14_17_20_25524, 3 ^ [i2003_11_14_17_20_25524])],extension(4,bind([[_41443, _39788, _41501], [5 ^ [i2003_11_14_17_20_25524], i2003_11_14_17_20_25524, 3 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.3.1.1',plain,[7 ^ [i2003_11_14_17_20_25524]],reduction('1')).
% 1.25/2.45 cnf('1.2.3.1.2',plain,[-(rr(i2003_11_14_17_20_25524, 5 ^ [i2003_11_14_17_20_25524])), rr1(i2003_11_14_17_20_25524, 5 ^ [i2003_11_14_17_20_25524])],extension(14,bind([[_43681, _43726], [i2003_11_14_17_20_25524, 5 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.3.1.2.1',plain,[-(rr1(i2003_11_14_17_20_25524, 5 ^ [i2003_11_14_17_20_25524])), -(7 ^ [i2003_11_14_17_20_25524])],extension(3,bind([[_39788], [i2003_11_14_17_20_25524]]))).
% 1.25/2.45 cnf('1.2.3.1.2.1.1',plain,[7 ^ [i2003_11_14_17_20_25524]],lemmata('1.2.3.1')).
% 1.25/2.45 cnf('1.2.3.1.3',plain,[-(rr(i2003_11_14_17_20_25524, 3 ^ [i2003_11_14_17_20_25524])), rr2(i2003_11_14_17_20_25524, 3 ^ [i2003_11_14_17_20_25524])],extension(15,bind([[_43991, _44036], [i2003_11_14_17_20_25524, 3 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.3.1.3.1',plain,[-(rr2(i2003_11_14_17_20_25524, 3 ^ [i2003_11_14_17_20_25524])), -(7 ^ [i2003_11_14_17_20_25524])],extension(8,bind([[_39788], [i2003_11_14_17_20_25524]]))).
% 1.25/2.45 cnf('1.2.3.1.3.1.1',plain,[7 ^ [i2003_11_14_17_20_25524]],lemmata('1.2.3.1')).
% 1.25/2.45 cnf('1.2.3.2',plain,[-(rtt(5 ^ [i2003_11_14_17_20_25524], 6 ^ [i2003_11_14_17_20_25524])), rt1(5 ^ [i2003_11_14_17_20_25524], 6 ^ [i2003_11_14_17_20_25524])],extension(16,bind([[_44301, _44346], [5 ^ [i2003_11_14_17_20_25524], 6 ^ [i2003_11_14_17_20_25524]]]))).
% 1.25/2.45 cnf('1.2.3.2.1',plain,[-(rt1(5 ^ [i2003_11_14_17_20_25524], 6 ^ [i2003_11_14_17_20_25524])), -(7 ^ [i2003_11_14_17_20_25524])],extension(2,bind([[_39788], [i2003_11_14_17_20_25524]]))).
% 1.25/2.45 cnf('1.2.3.2.1.1',plain,[7 ^ [i2003_11_14_17_20_25524]],reduction('1')).
% 1.25/2.45 %-----------------------------------------------------
% 1.25/2.46
% 1.25/2.46 % SZS output end Proof for negated /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------