TSTP Solution File: NUN065+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUN065+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 16:33:36 EDT 2022
% Result : Theorem 29.65s 29.37s
% Output : Proof 29.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN065+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 2 11:08:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 29.65/29.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.65/29.37 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.65/29.38
% 29.65/29.38 %-----------------------------------------------------
% 29.65/29.38 fof(nononesexistid, conjecture, ? [_42362] : (! [_42370] : (! [_42378] : (~ r1(_42378) | ~ r2(_42378, _42370)) | ~ id(_42362, _42370)) & ! [_42419] : (~ id(_42362, _42419) | ~ r1(_42419))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nononesexistid)).
% 29.65/29.38 fof(axiom_8, axiom, ! [_42753, _42756] : (~ id(_42753, _42756) | ~ r1(_42753) & ~ r1(_42756) | r1(_42753) & r1(_42756)), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_8)).
% 29.65/29.38 fof(axiom_2, axiom, ! [_42997] : ? [_43005] : ! [_43013] : (id(_43013, _43005) & r2(_42997, _43013) | ~ r2(_42997, _43013) & ~ id(_43013, _43005)), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_2)).
% 29.65/29.38 fof(axiom_5, axiom, ! [_43306] : id(_43306, _43306), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_5)).
% 29.65/29.38 fof(axiom_6, axiom, ! [_43413, _43416] : (~ id(_43413, _43416) | id(_43416, _43413)), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_6)).
% 29.65/29.38 fof(axiom_1a, axiom, ! [_43583, _43586] : ? [_43594] : (? [_43602] : (id(_43602, _43594) & ? [_43620] : (r2(_43586, _43620) & r3(_43583, _43620, _43602))) & ? [_43651] : (r2(_43651, _43594) & r3(_43583, _43586, _43651))), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_1a)).
% 29.65/29.38 fof(axiom_3a, axiom, ! [_43955, _43958] : (! [_43966] : (! [_43974] : (~ id(_43974, _43966) | ~ r2(_43955, _43974)) | ~ r2(_43958, _43966)) | id(_43955, _43958)), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_3a)).
% 29.65/29.38 fof(axiom_7a, axiom, ! [_44246, _44249] : (! [_44257] : (~ id(_44257, _44249) | ~ r1(_44257)) | ~ r2(_44246, _44249)), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_7a)).
% 29.65/29.38
% 29.65/29.38 cnf(1, plain, [-(43 ^ [_22940]), -(r1(42 ^ [_22940]))], clausify(nononesexistid)).
% 29.65/29.38 cnf(2, plain, [-(43 ^ [_22940]), -(id(_22940, 42 ^ [_22940]))], clausify(nononesexistid)).
% 29.65/29.38 cnf(3, plain, [-(41 ^ [_22940]), -(id(_22940, 39 ^ [_22940]))], clausify(nononesexistid)).
% 29.65/29.38 cnf(4, plain, [-(41 ^ [_22940]), -(r2(40 ^ [_22940], 39 ^ [_22940]))], clausify(nononesexistid)).
% 29.65/29.38 cnf(5, plain, [-(41 ^ [_22940]), -(r1(40 ^ [_22940]))], clausify(nononesexistid)).
% 29.65/29.38 cnf(6, plain, [-(14 ^ [_13433, _13368]), -(r1(_13368))], clausify(axiom_8)).
% 29.65/29.38 cnf(7, plain, [-(13 ^ [_13433, _13368]), r1(_13433)], clausify(axiom_8)).
% 29.65/29.38 cnf(8, plain, [-(6 ^ [_23868, _10185]), id(_23868, 4 ^ [_10185])], clausify(axiom_2)).
% 29.65/29.38 cnf(9, plain, [-(5 ^ [_23868, _10185]), -(r2(_10185, _23868))], clausify(axiom_2)).
% 29.65/29.38 cnf(10, plain, [41 ^ [_22940], 43 ^ [_22940]], clausify(nononesexistid)).
% 29.65/29.38 cnf(11, plain, [5 ^ [_23868, _10185], 6 ^ [_23868, _10185]], clausify(axiom_2)).
% 29.65/29.38 cnf(12, plain, [-(id(_12353, _12353))], clausify(axiom_5)).
% 29.65/29.38 cnf(13, plain, [id(_12527, _12574), -(id(_12574, _12527))], clausify(axiom_6)).
% 29.65/29.38 cnf(14, plain, [id(_13368, _13433), 13 ^ [_13433, _13368], 14 ^ [_13433, _13368]], clausify(axiom_8)).
% 29.65/29.38 cnf(15, plain, [-(r2(_17922, 23 ^ [_17922, _17837]))], clausify(axiom_1a)).
% 29.65/29.38 cnf(16, plain, [-(id(_19843, _19916)), r2(_19916, _19998), id(_20073, _19998), r2(_19843, _20073)], clausify(axiom_3a)).
% 29.65/29.38 cnf(17, plain, [r2(_22193, _22254), id(_22324, _22254), r1(_22324)], clausify(axiom_7a)).
% 29.65/29.38
% 29.65/29.38 cnf('1',plain,[41 ^ [4 ^ [23 ^ [_32468, _32491]]], 43 ^ [4 ^ [23 ^ [_32468, _32491]]]],start(10,bind([[_22940], [4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 cnf('1.1',plain,[-(41 ^ [4 ^ [23 ^ [_32468, _32491]]]), -(id(4 ^ [23 ^ [_32468, _32491]], 39 ^ [4 ^ [23 ^ [_32468, _32491]]]))],extension(3,bind([[_22940], [4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 cnf('1.1.1',plain,[id(4 ^ [23 ^ [_32468, _32491]], 39 ^ [4 ^ [23 ^ [_32468, _32491]]]), -(id(39 ^ [4 ^ [23 ^ [_32468, _32491]]], 4 ^ [23 ^ [_32468, _32491]]))],extension(13,bind([[_12574, _12527], [39 ^ [4 ^ [23 ^ [_32468, _32491]]], 4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 cnf('1.1.1.1',plain,[id(39 ^ [4 ^ [23 ^ [_32468, _32491]]], 4 ^ [23 ^ [_32468, _32491]]), -(6 ^ [39 ^ [4 ^ [23 ^ [_32468, _32491]]], 23 ^ [_32468, _32491]])],extension(8,bind([[_23868, _10185], [39 ^ [4 ^ [23 ^ [_32468, _32491]]], 23 ^ [_32468, _32491]]]))).
% 29.65/29.38 cnf('1.1.1.1.1',plain,[6 ^ [39 ^ [4 ^ [23 ^ [_32468, _32491]]], 23 ^ [_32468, _32491]], 5 ^ [39 ^ [4 ^ [23 ^ [_32468, _32491]]], 23 ^ [_32468, _32491]]],extension(11,bind([[_23868, _10185], [39 ^ [4 ^ [23 ^ [_32468, _32491]]], 23 ^ [_32468, _32491]]]))).
% 29.65/29.38 cnf('1.1.1.1.1.1',plain,[-(5 ^ [39 ^ [4 ^ [23 ^ [_32468, _32491]]], 23 ^ [_32468, _32491]]), -(r2(23 ^ [_32468, _32491], 39 ^ [4 ^ [23 ^ [_32468, _32491]]]))],extension(9,bind([[_10185, _23868], [23 ^ [_32468, _32491], 39 ^ [4 ^ [23 ^ [_32468, _32491]]]]]))).
% 29.65/29.38 cnf('1.1.1.1.1.1.1',plain,[r2(23 ^ [_32468, _32491], 39 ^ [4 ^ [23 ^ [_32468, _32491]]]), -(id(23 ^ [_32468, _32491], 40 ^ [4 ^ [23 ^ [_32468, _32491]]])), r2(40 ^ [4 ^ [23 ^ [_32468, _32491]]], 39 ^ [4 ^ [23 ^ [_32468, _32491]]]), id(39 ^ [4 ^ [23 ^ [_32468, _32491]]], 39 ^ [4 ^ [23 ^ [_32468, _32491]]])],extension(16,bind([[_19843, _19916, _20073, _19998], [23 ^ [_32468, _32491], 40 ^ [4 ^ [23 ^ [_32468, _32491]]], 39 ^ [4 ^ [23 ^ [_32468, _32491]]], 39 ^ [4 ^ [23 ^ [_32468, _32491]]]]]))).
% 29.65/29.38 cnf('1.1.1.1.1.1.1.1',plain,[id(23 ^ [_32468, _32491], 40 ^ [4 ^ [23 ^ [_32468, _32491]]]), -(id(40 ^ [4 ^ [23 ^ [_32468, _32491]]], 23 ^ [_32468, _32491]))],extension(13,bind([[_12574, _12527], [40 ^ [4 ^ [23 ^ [_32468, _32491]]], 23 ^ [_32468, _32491]]]))).
% 29.65/29.38 cnf('1.1.1.1.1.1.1.1.1',plain,[id(40 ^ [4 ^ [23 ^ [_32468, _32491]]], 23 ^ [_32468, _32491]), r2(_32468, 23 ^ [_32468, _32491]), r1(40 ^ [4 ^ [23 ^ [_32468, _32491]]])],extension(17,bind([[_22193, _22254, _22324], [_32468, 23 ^ [_32468, _32491], 40 ^ [4 ^ [23 ^ [_32468, _32491]]]]]))).
% 29.65/29.38 cnf('1.1.1.1.1.1.1.1.1.1',plain,[-(r2(_32468, 23 ^ [_32468, _32491]))],extension(15,bind([[_17922, _17837], [_32468, _32491]]))).
% 29.65/29.38 cnf('1.1.1.1.1.1.1.1.1.2',plain,[-(r1(40 ^ [4 ^ [23 ^ [_32468, _32491]]])), -(41 ^ [4 ^ [23 ^ [_32468, _32491]]])],extension(5,bind([[_22940], [4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 cnf('1.1.1.1.1.1.1.1.1.2.1',plain,[41 ^ [4 ^ [23 ^ [_32468, _32491]]]],reduction('1')).
% 29.65/29.38 cnf('1.1.1.1.1.1.1.2',plain,[-(r2(40 ^ [4 ^ [23 ^ [_32468, _32491]]], 39 ^ [4 ^ [23 ^ [_32468, _32491]]])), -(41 ^ [4 ^ [23 ^ [_32468, _32491]]])],extension(4,bind([[_22940], [4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 cnf('1.1.1.1.1.1.1.2.1',plain,[41 ^ [4 ^ [23 ^ [_32468, _32491]]]],reduction('1')).
% 29.65/29.38 cnf('1.1.1.1.1.1.1.3',plain,[-(id(39 ^ [4 ^ [23 ^ [_32468, _32491]]], 39 ^ [4 ^ [23 ^ [_32468, _32491]]]))],extension(12,bind([[_12353], [39 ^ [4 ^ [23 ^ [_32468, _32491]]]]]))).
% 29.65/29.38 cnf('1.2',plain,[-(43 ^ [4 ^ [23 ^ [_32468, _32491]]]), -(r1(42 ^ [4 ^ [23 ^ [_32468, _32491]]]))],extension(1,bind([[_22940], [4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 cnf('1.2.1',plain,[r1(42 ^ [4 ^ [23 ^ [_32468, _32491]]]), -(13 ^ [42 ^ [4 ^ [23 ^ [_32468, _32491]]], 4 ^ [23 ^ [_32468, _32491]]])],extension(7,bind([[_13433, _13368], [42 ^ [4 ^ [23 ^ [_32468, _32491]]], 4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 cnf('1.2.1.1',plain,[13 ^ [42 ^ [4 ^ [23 ^ [_32468, _32491]]], 4 ^ [23 ^ [_32468, _32491]]], id(4 ^ [23 ^ [_32468, _32491]], 42 ^ [4 ^ [23 ^ [_32468, _32491]]]), 14 ^ [42 ^ [4 ^ [23 ^ [_32468, _32491]]], 4 ^ [23 ^ [_32468, _32491]]]],extension(14,bind([[_13433, _13368], [42 ^ [4 ^ [23 ^ [_32468, _32491]]], 4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 cnf('1.2.1.1.1',plain,[-(id(4 ^ [23 ^ [_32468, _32491]], 42 ^ [4 ^ [23 ^ [_32468, _32491]]])), -(43 ^ [4 ^ [23 ^ [_32468, _32491]]])],extension(2,bind([[_22940], [4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 cnf('1.2.1.1.1.1',plain,[43 ^ [4 ^ [23 ^ [_32468, _32491]]]],reduction('1')).
% 29.65/29.38 cnf('1.2.1.1.2',plain,[-(14 ^ [42 ^ [4 ^ [23 ^ [_32468, _32491]]], 4 ^ [23 ^ [_32468, _32491]]]), -(r1(4 ^ [23 ^ [_32468, _32491]]))],extension(6,bind([[_13433, _13368], [42 ^ [4 ^ [23 ^ [_32468, _32491]]], 4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 cnf('1.2.1.1.2.1',plain,[r1(4 ^ [23 ^ [_32468, _32491]]), r2(23 ^ [_32468, _32491], 4 ^ [23 ^ [_32468, _32491]]), id(4 ^ [23 ^ [_32468, _32491]], 4 ^ [23 ^ [_32468, _32491]])],extension(17,bind([[_22193, _22324, _22254], [23 ^ [_32468, _32491], 4 ^ [23 ^ [_32468, _32491]], 4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 cnf('1.2.1.1.2.1.1',plain,[-(r2(23 ^ [_32468, _32491], 4 ^ [23 ^ [_32468, _32491]])), -(5 ^ [4 ^ [23 ^ [_32468, _32491]], 23 ^ [_32468, _32491]])],extension(9,bind([[_23868, _10185], [4 ^ [23 ^ [_32468, _32491]], 23 ^ [_32468, _32491]]]))).
% 29.65/29.38 cnf('1.2.1.1.2.1.1.1',plain,[5 ^ [4 ^ [23 ^ [_32468, _32491]], 23 ^ [_32468, _32491]], 6 ^ [4 ^ [23 ^ [_32468, _32491]], 23 ^ [_32468, _32491]]],extension(11,bind([[_23868, _10185], [4 ^ [23 ^ [_32468, _32491]], 23 ^ [_32468, _32491]]]))).
% 29.65/29.38 cnf('1.2.1.1.2.1.1.1.1',plain,[-(6 ^ [4 ^ [23 ^ [_32468, _32491]], 23 ^ [_32468, _32491]]), id(4 ^ [23 ^ [_32468, _32491]], 4 ^ [23 ^ [_32468, _32491]])],extension(8,bind([[_23868, _10185], [4 ^ [23 ^ [_32468, _32491]], 23 ^ [_32468, _32491]]]))).
% 29.65/29.38 cnf('1.2.1.1.2.1.1.1.1.1',plain,[-(id(4 ^ [23 ^ [_32468, _32491]], 4 ^ [23 ^ [_32468, _32491]]))],extension(12,bind([[_12353], [4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 cnf('1.2.1.1.2.1.2',plain,[-(id(4 ^ [23 ^ [_32468, _32491]], 4 ^ [23 ^ [_32468, _32491]]))],extension(12,bind([[_12353], [4 ^ [23 ^ [_32468, _32491]]]]))).
% 29.65/29.38 %-----------------------------------------------------
% 29.65/29.38
% 29.65/29.38 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------