0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.10 % Command : leancop_casc.sh %s %d 0.11/0.31 % Computer : n010.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 960 0.11/0.31 % DateTime : Thu Jul 2 07:02:42 EDT 2020 0.11/0.31 % CPUTime : 40.86/40.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 40.93/40.62 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 40.93/40.62 40.93/40.62 %----------------------------------------------------- 40.93/40.62 fof(co1, conjecture, ~ (! [_23143] : (h(j(_23143)) = _23143 <= sorti2(_23143)) & ! [_23172] : (sorti1(_23172) => _23172 = j(h(_23172))) & ! [_23201] : (! [_23209] : (sorti2(_23209) => j(op2(_23201, _23209)) = op1(j(_23201), j(_23209))) <= sorti2(_23201)) & ! [_23263] : (sorti1(_23263) => ! [_23278] : (op2(h(_23263), h(_23278)) = h(op1(_23263, _23278)) <= sorti1(_23278)))) <= ! [_23325] : (sorti2(_23325) => sorti1(j(_23325))) & ! [_23351] : (sorti1(_23351) => sorti2(h(_23351))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)). 40.93/40.62 fof(ax4, axiom, ~ ? [_23952] : (sorti2(_23952) & ! [_23967] : ((! _23967) = op2(_23967, _23952) <= sorti2(_23967))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax4)). 40.93/40.62 fof(ax3, axiom, ? [_24168] : (sorti1(_24168) & ! [_24183] : (sorti1(_24183) => (! _24183) = op1(_24183, _24168))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax3)). 40.93/40.62 40.93/40.62 cnf(1, plain, [sorti2(_11632), -(sorti1(j(_11632)))], clausify(co1)). 40.93/40.62 cnf(2, plain, [sorti1(_11776), -(sorti2(h(_11776)))], clausify(co1)). 40.93/40.62 cnf(3, plain, [sorti1(_12147), -(_12147 = j(h(_12147)))], clausify(co1)). 40.93/40.62 cnf(4, plain, [sorti2(_12341), sorti2(_12440), -(j(op2(_12341, _12440)) = op1(j(_12341), j(_12440)))], clausify(co1)). 40.93/40.62 cnf(5, plain, [sorti2(_10017), -(sorti2(1 ^ [_10017]))], clausify(ax4)). 40.93/40.62 cnf(6, plain, [sorti2(_10017), -(1 ^ [_10017] = op2(1 ^ [_10017], _10017))], clausify(ax4)). 40.93/40.62 cnf(7, plain, [-(sorti1(2 ^ []))], clausify(ax3)). 40.93/40.62 cnf(8, plain, [sorti1(_14154), _14154 = op1(_14154, 2 ^ [])], clausify(ax3)). 40.93/40.62 cnf(9, plain, [_8360 = _8409, -(j(_8360) = j(_8409))], theory(equality)). 40.93/40.62 cnf(10, plain, [-(op1(_8689, _8822) = op1(_8756, _8887)), _8689 = _8756, _8822 = _8887], theory(equality)). 40.93/40.62 cnf(11, plain, [-(_6445 = _6445)], theory(equality)). 40.93/40.62 cnf(12, plain, [_6598 = _6643, -(_6643 = _6598)], theory(equality)). 40.93/40.62 cnf(13, plain, [-(_6877 = _6988), _6877 = _6933, _6933 = _6988], theory(equality)). 40.93/40.62 40.93/40.62 cnf('1',plain,[sorti1(j(1 ^ [h(2 ^ [])])), j(1 ^ [h(2 ^ [])]) = op1(j(1 ^ [h(2 ^ [])]), 2 ^ [])],start(8,bind([[_14154], [j(1 ^ [h(2 ^ [])])]]))). 40.93/40.62 cnf('1.1',plain,[-(sorti1(j(1 ^ [h(2 ^ [])]))), sorti2(1 ^ [h(2 ^ [])])],extension(1,bind([[_11632], [1 ^ [h(2 ^ [])]]]))). 40.93/40.62 cnf('1.1.1',plain,[-(sorti2(1 ^ [h(2 ^ [])])), sorti2(h(2 ^ []))],extension(5,bind([[_10017], [h(2 ^ [])]]))). 40.93/40.62 cnf('1.1.1.1',plain,[-(sorti2(h(2 ^ []))), sorti1(2 ^ [])],extension(2,bind([[_11776], [2 ^ []]]))). 40.93/40.62 cnf('1.1.1.1.1',plain,[-(sorti1(2 ^ []))],extension(7)). 40.93/40.62 cnf('1.2',plain,[-(j(1 ^ [h(2 ^ [])]) = op1(j(1 ^ [h(2 ^ [])]), 2 ^ [])), j(1 ^ [h(2 ^ [])]) = j(op2(1 ^ [h(2 ^ [])], h(2 ^ []))), j(op2(1 ^ [h(2 ^ [])], h(2 ^ []))) = op1(j(1 ^ [h(2 ^ [])]), 2 ^ [])],extension(13,bind([[_6877, _6933, _6988], [j(1 ^ [h(2 ^ [])]), j(op2(1 ^ [h(2 ^ [])], h(2 ^ []))), op1(j(1 ^ [h(2 ^ [])]), 2 ^ [])]]))). 40.93/40.62 cnf('1.2.1',plain,[-(j(1 ^ [h(2 ^ [])]) = j(op2(1 ^ [h(2 ^ [])], h(2 ^ [])))), 1 ^ [h(2 ^ [])] = op2(1 ^ [h(2 ^ [])], h(2 ^ []))],extension(9,bind([[_8360, _8409], [1 ^ [h(2 ^ [])], op2(1 ^ [h(2 ^ [])], h(2 ^ []))]]))). 40.93/40.62 cnf('1.2.1.1',plain,[-(1 ^ [h(2 ^ [])] = op2(1 ^ [h(2 ^ [])], h(2 ^ []))), sorti2(h(2 ^ []))],extension(6,bind([[_10017], [h(2 ^ [])]]))). 40.93/40.62 cnf('1.2.1.1.1',plain,[-(sorti2(h(2 ^ []))), sorti1(2 ^ [])],extension(2,bind([[_11776], [2 ^ []]]))). 40.93/40.62 cnf('1.2.1.1.1.1',plain,[-(sorti1(2 ^ []))],extension(7)). 40.93/40.62 cnf('1.2.2',plain,[-(j(op2(1 ^ [h(2 ^ [])], h(2 ^ []))) = op1(j(1 ^ [h(2 ^ [])]), 2 ^ [])), j(op2(1 ^ [h(2 ^ [])], h(2 ^ []))) = op1(j(1 ^ [h(2 ^ [])]), j(h(2 ^ []))), op1(j(1 ^ [h(2 ^ [])]), j(h(2 ^ []))) = op1(j(1 ^ [h(2 ^ [])]), 2 ^ [])],extension(13,bind([[_6877, _6933, _6988], [j(op2(1 ^ [h(2 ^ [])], h(2 ^ []))), op1(j(1 ^ [h(2 ^ [])]), j(h(2 ^ []))), op1(j(1 ^ [h(2 ^ [])]), 2 ^ [])]]))). 40.93/40.62 cnf('1.2.2.1',plain,[-(j(op2(1 ^ [h(2 ^ [])], h(2 ^ []))) = op1(j(1 ^ [h(2 ^ [])]), j(h(2 ^ [])))), sorti2(1 ^ [h(2 ^ [])]), sorti2(h(2 ^ []))],extension(4,bind([[_12341, _12440], [1 ^ [h(2 ^ [])], h(2 ^ [])]]))). 40.93/40.62 cnf('1.2.2.1.1',plain,[-(sorti2(1 ^ [h(2 ^ [])])), sorti2(h(2 ^ []))],extension(5,bind([[_10017], [h(2 ^ [])]]))). 40.93/40.62 cnf('1.2.2.1.1.1',plain,[-(sorti2(h(2 ^ []))), sorti1(2 ^ [])],extension(2,bind([[_11776], [2 ^ []]]))). 40.93/40.62 cnf('1.2.2.1.1.1.1',plain,[-(sorti1(2 ^ []))],extension(7)). 40.93/40.62 cnf('1.2.2.1.2',plain,[-(sorti2(h(2 ^ []))), sorti1(2 ^ [])],extension(2,bind([[_11776], [2 ^ []]]))). 40.93/40.62 cnf('1.2.2.1.2.1',plain,[-(sorti1(2 ^ []))],extension(7)). 40.93/40.62 cnf('1.2.2.2',plain,[-(op1(j(1 ^ [h(2 ^ [])]), j(h(2 ^ []))) = op1(j(1 ^ [h(2 ^ [])]), 2 ^ [])), j(1 ^ [h(2 ^ [])]) = j(1 ^ [h(2 ^ [])]), j(h(2 ^ [])) = 2 ^ []],extension(10,bind([[_8689, _8756, _8822, _8887], [j(1 ^ [h(2 ^ [])]), j(1 ^ [h(2 ^ [])]), j(h(2 ^ [])), 2 ^ []]]))). 40.93/40.62 cnf('1.2.2.2.1',plain,[-(j(1 ^ [h(2 ^ [])]) = j(1 ^ [h(2 ^ [])])), 1 ^ [h(2 ^ [])] = 1 ^ [h(2 ^ [])]],extension(9,bind([[_8360, _8409], [1 ^ [h(2 ^ [])], 1 ^ [h(2 ^ [])]]]))). 40.93/40.62 cnf('1.2.2.2.1.1',plain,[-(1 ^ [h(2 ^ [])] = 1 ^ [h(2 ^ [])])],extension(11,bind([[_6445], [1 ^ [h(2 ^ [])]]]))). 40.93/40.62 cnf('1.2.2.2.2',plain,[-(j(h(2 ^ [])) = 2 ^ []), 2 ^ [] = j(h(2 ^ []))],extension(12,bind([[_6598, _6643], [2 ^ [], j(h(2 ^ []))]]))). 40.93/40.62 cnf('1.2.2.2.2.1',plain,[-(2 ^ [] = j(h(2 ^ []))), sorti1(2 ^ [])],extension(3,bind([[_12147], [2 ^ []]]))). 40.93/40.62 cnf('1.2.2.2.2.1.1',plain,[-(sorti1(2 ^ []))],extension(7)). 40.93/40.62 %----------------------------------------------------- 40.93/40.63 40.93/40.63 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 40.93/40.63 EOF