TSTP Solution File: NUN076+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUN076+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 16:33:38 EDT 2022
% Result : Theorem 1.65s 2.44s
% Output : Proof 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN076+1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 2 08:54:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.65/2.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.65/2.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.65/2.45
% 1.65/2.45 %-----------------------------------------------------
% 1.65/2.45 fof(thereexistsanevennumberid, conjecture, ? [_40594, _40597, _40600] : (? [_40608] : (id(_40608, _40594) & ? [_40626] : (r4(_40626, _40597, _40608) & ? [_40647] : (r2(_40647, _40626) & ? [_40665] : (r1(_40665) & r2(_40665, _40647))))) & ? [_40690] : (id(_40690, _40594) & r3(_40597, _40600, _40690))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thereexistsanevennumberid)).
% 1.65/2.45 fof(axiom_1, axiom, ? [_41048] : ! [_41056] : (id(_41056, _41048) & r1(_41056) | ~ r1(_41056) & ~ id(_41056, _41048)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_1)).
% 1.65/2.45 fof(axiom_2, axiom, ! [_41282] : ? [_41290] : ! [_41298] : (id(_41298, _41290) & r2(_41282, _41298) | ~ r2(_41282, _41298) & ~ id(_41298, _41290)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_2)).
% 1.65/2.45 fof(axiom_5, axiom, ! [_41551] : id(_41551, _41551), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_5)).
% 1.65/2.45 fof(axiom_10, axiom, ! [_41664, _41667, _41670, _41673, _41676, _41679] : (~ id(_41664, _41673) | ~ id(_41667, _41676) | ~ id(_41670, _41679) | ~ r3(_41664, _41667, _41670) & ~ r3(_41673, _41676, _41679) | r3(_41664, _41667, _41670) & r3(_41673, _41676, _41679)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_10)).
% 1.65/2.45 fof(axiom_11, axiom, ! [_42058, _42061, _42064, _42067, _42070, _42073] : (~ id(_42058, _42067) | ~ id(_42061, _42070) | ~ id(_42064, _42073) | ~ r4(_42058, _42061, _42064) & ~ r4(_42067, _42070, _42073) | r4(_42058, _42061, _42064) & r4(_42067, _42070, _42073)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_11)).
% 1.65/2.45 fof(axiom_4a, axiom, ! [_42463] : ? [_42471] : (id(_42471, _42463) & ? [_42489] : (r1(_42489) & r3(_42463, _42489, _42471))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_4a)).
% 1.65/2.45 fof(axiom_5a, axiom, ! [_42699] : ? [_42707] : (? [_42715] : (r1(_42715) & r4(_42699, _42715, _42707)) & ? [_42743] : (id(_42707, _42743) & r1(_42743))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_5a)).
% 1.65/2.45
% 1.65/2.45 cnf(1, plain, [r3(_23241, _23347, _24154), id(_24154, _23134), id(_23462, _23134), r4(_23607, _23241, _23462), r2(_23785, _23607), r1(_23915), r2(_23915, _23785)], clausify(thereexistsanevennumberid)).
% 1.65/2.45 cnf(2, plain, [-(id(_24482, 1 ^ [])), r1(_24482)], clausify(axiom_1)).
% 1.65/2.45 cnf(3, plain, [-(r1(_24482)), id(_24482, 1 ^ [])], clausify(axiom_1)).
% 1.65/2.45 cnf(4, plain, [-(r2(_10379, _24633)), id(_24633, 2 ^ [_10379])], clausify(axiom_2)).
% 1.65/2.45 cnf(5, plain, [-(id(_12547, _12547))], clausify(axiom_5)).
% 1.65/2.45 cnf(6, plain, [id(_15035, _15359), id(_15144, _15465), id(_15252, _15570), r3(_15035, _15144, _15252), -(r3(_15359, _15465, _15570))], clausify(axiom_10)).
% 1.65/2.45 cnf(7, plain, [id(_16533, _16857), id(_16642, _16963), id(_16750, _17068), r4(_16533, _16642, _16750), -(r4(_16857, _16963, _17068))], clausify(axiom_11)).
% 1.65/2.45 cnf(8, plain, [-(id(13 ^ [_20734], _20734))], clausify(axiom_4a)).
% 1.65/2.45 cnf(9, plain, [-(r3(_20734, 14 ^ [_20734], 13 ^ [_20734]))], clausify(axiom_4a)).
% 1.65/2.45 cnf(10, plain, [-(r1(16 ^ [_21216]))], clausify(axiom_5a)).
% 1.65/2.45 cnf(11, plain, [-(r4(_21216, 16 ^ [_21216], 15 ^ [_21216]))], clausify(axiom_5a)).
% 1.65/2.45 cnf(12, plain, [-(id(15 ^ [_21216], 17 ^ [_21216]))], clausify(axiom_5a)).
% 1.65/2.45 cnf(13, plain, [-(r1(17 ^ [_21216]))], clausify(axiom_5a)).
% 1.65/2.45
% 1.65/2.45 cnf('1',plain,[r3(16 ^ [2 ^ [2 ^ [1 ^ []]]], 14 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]], 16 ^ [2 ^ [2 ^ [1 ^ []]]]), id(16 ^ [2 ^ [2 ^ [1 ^ []]]], 1 ^ []), id(17 ^ [2 ^ [2 ^ [1 ^ []]]], 1 ^ []), r4(2 ^ [2 ^ [1 ^ []]], 16 ^ [2 ^ [2 ^ [1 ^ []]]], 17 ^ [2 ^ [2 ^ [1 ^ []]]]), r2(2 ^ [1 ^ []], 2 ^ [2 ^ [1 ^ []]]), r1(1 ^ []), r2(1 ^ [], 2 ^ [1 ^ []])],start(1,bind([[_23347, _24154, _23134, _23241, _23462, _23607, _23915, _23785], [14 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]], 16 ^ [2 ^ [2 ^ [1 ^ []]]], 1 ^ [], 16 ^ [2 ^ [2 ^ [1 ^ []]]], 17 ^ [2 ^ [2 ^ [1 ^ []]]], 2 ^ [2 ^ [1 ^ []]], 1 ^ [], 2 ^ [1 ^ []]]]))).
% 1.65/2.45 cnf('1.1',plain,[-(r3(16 ^ [2 ^ [2 ^ [1 ^ []]]], 14 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]], 16 ^ [2 ^ [2 ^ [1 ^ []]]])), id(16 ^ [2 ^ [2 ^ [1 ^ []]]], 16 ^ [2 ^ [2 ^ [1 ^ []]]]), id(14 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]], 14 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]]), id(13 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]], 16 ^ [2 ^ [2 ^ [1 ^ []]]]), r3(16 ^ [2 ^ [2 ^ [1 ^ []]]], 14 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]], 13 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]])],extension(6,bind([[_15359, _15465, _15570, _15035, _15144, _15252], [16 ^ [2 ^ [2 ^ [1 ^ []]]], 14 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]], 16 ^ [2 ^ [2 ^ [1 ^ []]]], 16 ^ [2 ^ [2 ^ [1 ^ []]]], 14 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]], 13 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]]]]))).
% 1.65/2.45 cnf('1.1.1',plain,[-(id(16 ^ [2 ^ [2 ^ [1 ^ []]]], 16 ^ [2 ^ [2 ^ [1 ^ []]]]))],extension(5,bind([[_12547], [16 ^ [2 ^ [2 ^ [1 ^ []]]]]]))).
% 1.65/2.45 cnf('1.1.2',plain,[-(id(14 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]], 14 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]]))],extension(5,bind([[_12547], [14 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]]]]))).
% 1.65/2.45 cnf('1.1.3',plain,[-(id(13 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]], 16 ^ [2 ^ [2 ^ [1 ^ []]]]))],extension(8,bind([[_20734], [16 ^ [2 ^ [2 ^ [1 ^ []]]]]]))).
% 1.65/2.45 cnf('1.1.4',plain,[-(r3(16 ^ [2 ^ [2 ^ [1 ^ []]]], 14 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]], 13 ^ [16 ^ [2 ^ [2 ^ [1 ^ []]]]]))],extension(9,bind([[_20734], [16 ^ [2 ^ [2 ^ [1 ^ []]]]]]))).
% 1.65/2.45 cnf('1.2',plain,[-(id(16 ^ [2 ^ [2 ^ [1 ^ []]]], 1 ^ [])), r1(16 ^ [2 ^ [2 ^ [1 ^ []]]])],extension(2,bind([[_24482], [16 ^ [2 ^ [2 ^ [1 ^ []]]]]]))).
% 1.65/2.45 cnf('1.2.1',plain,[-(r1(16 ^ [2 ^ [2 ^ [1 ^ []]]]))],extension(10,bind([[_21216], [2 ^ [2 ^ [1 ^ []]]]]))).
% 1.65/2.45 cnf('1.3',plain,[-(id(17 ^ [2 ^ [2 ^ [1 ^ []]]], 1 ^ [])), r1(17 ^ [2 ^ [2 ^ [1 ^ []]]])],extension(2,bind([[_24482], [17 ^ [2 ^ [2 ^ [1 ^ []]]]]]))).
% 1.65/2.45 cnf('1.3.1',plain,[-(r1(17 ^ [2 ^ [2 ^ [1 ^ []]]]))],extension(13,bind([[_21216], [2 ^ [2 ^ [1 ^ []]]]]))).
% 1.65/2.45 cnf('1.4',plain,[-(r4(2 ^ [2 ^ [1 ^ []]], 16 ^ [2 ^ [2 ^ [1 ^ []]]], 17 ^ [2 ^ [2 ^ [1 ^ []]]])), id(2 ^ [2 ^ [1 ^ []]], 2 ^ [2 ^ [1 ^ []]]), id(16 ^ [2 ^ [2 ^ [1 ^ []]]], 16 ^ [2 ^ [2 ^ [1 ^ []]]]), id(15 ^ [2 ^ [2 ^ [1 ^ []]]], 17 ^ [2 ^ [2 ^ [1 ^ []]]]), r4(2 ^ [2 ^ [1 ^ []]], 16 ^ [2 ^ [2 ^ [1 ^ []]]], 15 ^ [2 ^ [2 ^ [1 ^ []]]])],extension(7,bind([[_16857, _16963, _17068, _16533, _16642, _16750], [2 ^ [2 ^ [1 ^ []]], 16 ^ [2 ^ [2 ^ [1 ^ []]]], 17 ^ [2 ^ [2 ^ [1 ^ []]]], 2 ^ [2 ^ [1 ^ []]], 16 ^ [2 ^ [2 ^ [1 ^ []]]], 15 ^ [2 ^ [2 ^ [1 ^ []]]]]]))).
% 1.65/2.45 cnf('1.4.1',plain,[-(id(2 ^ [2 ^ [1 ^ []]], 2 ^ [2 ^ [1 ^ []]]))],extension(5,bind([[_12547], [2 ^ [2 ^ [1 ^ []]]]]))).
% 1.65/2.45 cnf('1.4.2',plain,[-(id(16 ^ [2 ^ [2 ^ [1 ^ []]]], 16 ^ [2 ^ [2 ^ [1 ^ []]]]))],extension(5,bind([[_12547], [16 ^ [2 ^ [2 ^ [1 ^ []]]]]]))).
% 1.65/2.45 cnf('1.4.3',plain,[-(id(15 ^ [2 ^ [2 ^ [1 ^ []]]], 17 ^ [2 ^ [2 ^ [1 ^ []]]]))],extension(12,bind([[_21216], [2 ^ [2 ^ [1 ^ []]]]]))).
% 1.65/2.45 cnf('1.4.4',plain,[-(r4(2 ^ [2 ^ [1 ^ []]], 16 ^ [2 ^ [2 ^ [1 ^ []]]], 15 ^ [2 ^ [2 ^ [1 ^ []]]]))],extension(11,bind([[_21216], [2 ^ [2 ^ [1 ^ []]]]]))).
% 1.65/2.45 cnf('1.5',plain,[-(r2(2 ^ [1 ^ []], 2 ^ [2 ^ [1 ^ []]])), id(2 ^ [2 ^ [1 ^ []]], 2 ^ [2 ^ [1 ^ []]])],extension(4,bind([[_24633, _10379], [2 ^ [2 ^ [1 ^ []]], 2 ^ [1 ^ []]]]))).
% 1.65/2.45 cnf('1.5.1',plain,[-(id(2 ^ [2 ^ [1 ^ []]], 2 ^ [2 ^ [1 ^ []]]))],extension(5,bind([[_12547], [2 ^ [2 ^ [1 ^ []]]]]))).
% 1.65/2.45 cnf('1.6',plain,[-(r1(1 ^ [])), id(1 ^ [], 1 ^ [])],extension(3,bind([[_24482], [1 ^ []]]))).
% 1.65/2.45 cnf('1.6.1',plain,[-(id(1 ^ [], 1 ^ []))],extension(5,bind([[_12547], [1 ^ []]]))).
% 1.65/2.45 cnf('1.7',plain,[-(r2(1 ^ [], 2 ^ [1 ^ []])), id(2 ^ [1 ^ []], 2 ^ [1 ^ []])],extension(4,bind([[_24633, _10379], [2 ^ [1 ^ []], 1 ^ []]]))).
% 1.65/2.45 cnf('1.7.1',plain,[-(id(2 ^ [1 ^ []], 2 ^ [1 ^ []]))],extension(5,bind([[_12547], [2 ^ [1 ^ []]]]))).
% 1.65/2.45 %-----------------------------------------------------
% 1.65/2.45
% 1.65/2.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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