0.07/0.16 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.16 % Command : leancop_casc.sh %s %d 0.12/0.37 % Computer : n008.cluster.edu 0.12/0.37 % Model : x86_64 x86_64 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.37 % Memory : 8042.1875MB 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.37 % CPULimit : 180 0.12/0.37 % DateTime : Thu Aug 29 09:07:09 EDT 2019 0.12/0.38 % CPUTime : 9.87/10.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 9.87/10.74 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 9.94/10.74 9.94/10.74 %----------------------------------------------------- 9.94/10.74 fof(thereexistsanevennumberid, conjecture, ? [_39921, _39924, _39927] : (? [_39935] : (r3(_39924, _39927, _39935) & id(_39935, _39921)) & ? [_39966] : (? [_39974] : (? [_39982] : (? [_39990] : (r2(_39990, _39982) & r1(_39990)) & r2(_39982, _39974)) & r4(_39974, _39924, _39966)) & id(_39966, _39921))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thereexistsanevennumberid)). 9.94/10.74 fof(axiom_4a, axiom, ! [_40376] : ? [_40384] : (id(_40384, _40376) & ? [_40402] : (r1(_40402) & r3(_40376, _40402, _40384))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_4a)). 9.94/10.74 fof(axiom_1a, axiom, ! [_40629, _40632] : ? [_40640] : (? [_40648] : (r3(_40629, _40632, _40648) & r2(_40648, _40640)) & ? [_40679] : (? [_40687] : (r2(_40632, _40687) & r3(_40629, _40687, _40679)) & id(_40679, _40640))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_1a)). 9.94/10.74 fof(axiom_1, axiom, ? [_41006] : ! [_41014] : (r1(_41014) & id(_41014, _41006) | ~ id(_41014, _41006) & ~ r1(_41014)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_1)). 9.94/10.75 fof(axiom_11, axiom, ! [_41229, _41232, _41235, _41238, _41241, _41244] : (~ id(_41229, _41238) | ~ r4(_41229, _41232, _41235) & ~ r4(_41238, _41241, _41244) | r4(_41229, _41232, _41235) & r4(_41238, _41241, _41244) | ~ id(_41235, _41244) | ~ id(_41232, _41241)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_11)). 9.94/10.75 fof(axiom_5a, axiom, ! [_41624] : ? [_41632] : (? [_41640] : (id(_41632, _41640) & r1(_41640)) & ? [_41665] : (r4(_41624, _41665, _41632) & r1(_41665))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_5a)). 9.94/10.75 fof(axiom_5, axiom, ! [_41935] : id(_41935, _41935), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_5)). 9.94/10.75 fof(axiom_10, axiom, ! [_42046, _42049, _42052, _42055, _42058, _42061] : (~ id(_42046, _42055) | ~ id(_42052, _42061) | ~ r3(_42046, _42049, _42052) & ~ r3(_42055, _42058, _42061) | r3(_42055, _42058, _42061) & r3(_42046, _42049, _42052) | ~ id(_42049, _42058)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_10)). 9.94/10.75 9.94/10.75 cnf(1, plain, [id(_23462, _23134), r3(_23241, _23347, _23462), id(_23686, _23134), r4(_23782, _23241, _23686), r2(_23871, _23782), r2(_23952, _23871), r1(_23952)], clausify(thereexistsanevennumberid)). 9.94/10.75 cnf(2, plain, [-(id(1 ^ [_10599], _10599))], clausify(axiom_4a)). 9.94/10.75 cnf(3, plain, [-(r1(2 ^ [_10599]))], clausify(axiom_4a)). 9.94/10.75 cnf(4, plain, [-(r3(_10599, 2 ^ [_10599], 1 ^ [_10599]))], clausify(axiom_4a)). 9.94/10.75 cnf(5, plain, [-(r2(_12484, 7 ^ [_12484, _12399]))], clausify(axiom_1a)). 9.94/10.75 cnf(6, plain, [-(id(_26161, 14 ^ [])), r1(_26161)], clausify(axiom_1)). 9.94/10.75 cnf(7, plain, [id(_17716, _18040), r4(_17716, _17825, _17933), -(r4(_18040, _18146, _18251)), id(_17933, _18251), id(_17825, _18146)], clausify(axiom_11)). 9.94/10.75 cnf(8, plain, [-(id(15 ^ [_19715], 16 ^ [_19715]))], clausify(axiom_5a)). 9.94/10.75 cnf(9, plain, [-(r1(16 ^ [_19715]))], clausify(axiom_5a)). 9.94/10.75 cnf(10, plain, [-(r4(_19715, 17 ^ [_19715], 15 ^ [_19715]))], clausify(axiom_5a)). 9.94/10.75 cnf(11, plain, [-(r1(17 ^ [_19715]))], clausify(axiom_5a)). 9.94/10.75 cnf(12, plain, [-(id(_20655, _20655))], clausify(axiom_5)). 9.94/10.75 cnf(13, plain, [id(_20829, _21153), id(_21046, _21364), r3(_20829, _20938, _21046), -(r3(_21153, _21259, _21364)), id(_20938, _21259)], clausify(axiom_10)). 9.94/10.75 9.94/10.75 cnf('1',plain,[id(17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 14 ^ []), r3(17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 2 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]), id(16 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 14 ^ []), r4(7 ^ [7 ^ [2 ^ [_33257], _33238], _33217], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 16 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]), r2(7 ^ [2 ^ [_33257], _33238], 7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]), r2(2 ^ [_33257], 7 ^ [2 ^ [_33257], _33238]), r1(2 ^ [_33257])],start(1,bind([[_23347, _23462, _23134, _23241, _23686, _23782, _23871, _23952], [2 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 14 ^ [], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 16 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 7 ^ [7 ^ [2 ^ [_33257], _33238], _33217], 7 ^ [2 ^ [_33257], _33238], 2 ^ [_33257]]]))). 9.94/10.75 cnf('1.1',plain,[-(id(17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 14 ^ [])), r1(17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]])],extension(6,bind([[_26161], [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]]))). 9.94/10.75 cnf('1.1.1',plain,[-(r1(17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]))],extension(11,bind([[_19715], [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]))). 9.94/10.75 cnf('1.2',plain,[-(r3(17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 2 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]])), id(17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]), id(1 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]), r3(17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 2 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]], 1 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]), id(2 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]], 2 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]])],extension(13,bind([[_21153, _21364, _20829, _21046, _20938, _21259], [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 1 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]], 2 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]], 2 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]]]))). 9.94/10.75 cnf('1.2.1',plain,[-(id(17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]))],extension(12,bind([[_20655], [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]]))). 9.94/10.75 cnf('1.2.2',plain,[-(id(1 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]))],extension(2,bind([[_10599], [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]]))). 9.94/10.75 cnf('1.2.3',plain,[-(r3(17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 2 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]], 1 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]))],extension(4,bind([[_10599], [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]]))). 9.94/10.75 cnf('1.2.4',plain,[-(id(2 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]], 2 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]))],extension(12,bind([[_20655], [2 ^ [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]]]))). 9.94/10.75 cnf('1.3',plain,[-(id(16 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 14 ^ [])), r1(16 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]])],extension(6,bind([[_26161], [16 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]]))). 9.94/10.75 cnf('1.3.1',plain,[-(r1(16 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]))],extension(9,bind([[_19715], [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]))). 9.94/10.75 cnf('1.4',plain,[-(r4(7 ^ [7 ^ [2 ^ [_33257], _33238], _33217], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 16 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]])), id(1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]], 7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]), r4(1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 15 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]), id(15 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 16 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]), id(17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]])],extension(7,bind([[_18040, _17716, _17933, _18251, _17825, _18146], [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217], 1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]], 15 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 16 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]]))). 9.94/10.75 cnf('1.4.1',plain,[-(id(1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]], 7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]))],extension(2,bind([[_10599], [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]))). 9.94/10.75 cnf('1.4.2',plain,[-(r4(1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 15 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]))],extension(10,bind([[_19715], [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]))). 9.94/10.75 cnf('1.4.3',plain,[-(id(15 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 16 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]))],extension(8,bind([[_19715], [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]))). 9.94/10.75 cnf('1.4.4',plain,[-(id(17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]], 17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]))],extension(12,bind([[_20655], [17 ^ [1 ^ [7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]]]]]))). 9.94/10.75 cnf('1.5',plain,[-(r2(7 ^ [2 ^ [_33257], _33238], 7 ^ [7 ^ [2 ^ [_33257], _33238], _33217]))],extension(5,bind([[_12484, _12399], [7 ^ [2 ^ [_33257], _33238], _33217]]))). 9.94/10.75 cnf('1.6',plain,[-(r2(2 ^ [_33257], 7 ^ [2 ^ [_33257], _33238]))],extension(5,bind([[_12484, _12399], [2 ^ [_33257], _33238]]))). 9.94/10.75 cnf('1.7',plain,[-(r1(2 ^ [_33257]))],extension(3,bind([[_10599], [_33257]]))). 9.94/10.75 %----------------------------------------------------- 9.94/10.75 9.94/10.75 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 9.94/10.75 EOF