TSTP Solution File: NUN066+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUN066+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 72.06s 69.81s
% Output : Proof 72.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN066+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 2 07:07:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 72.06/69.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 72.06/69.82 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 72.06/69.82
% 72.06/69.82 %-----------------------------------------------------
% 72.06/69.82 fof(nonzerononetwoexistid, conjecture, ? [_47670] : (! [_47678] : (! [_47686] : (! [_47694] : (~ r1(_47694) | ~ r2(_47694, _47686)) | ~ r2(_47686, _47678)) | ~ id(_47670, _47678)) & ! [_47747] : (~ id(_47670, _47747) | ~ r1(_47747))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonzerononetwoexistid)).
% 72.06/69.82 fof(axiom_1, axiom, ? [_48120] : ! [_48128] : (id(_48128, _48120) & r1(_48128) | ~ r1(_48128) & ~ id(_48128, _48120)), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_1)).
% 72.06/69.82 fof(axiom_2, axiom, ! [_48353] : ? [_48361] : ! [_48369] : (id(_48369, _48361) & r2(_48353, _48369) | ~ r2(_48353, _48369) & ~ id(_48369, _48361)), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_2)).
% 72.06/69.82 fof(axiom_5, axiom, ! [_48634] : id(_48634, _48634), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_5)).
% 72.06/69.82 fof(axiom_6, axiom, ! [_48741, _48744] : (~ id(_48741, _48744) | id(_48744, _48741)), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_6)).
% 72.06/69.82 fof(axiom_8, axiom, ! [_48896, _48899] : (~ id(_48896, _48899) | ~ r1(_48896) & ~ r1(_48899) | r1(_48896) & r1(_48899)), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_8)).
% 72.06/69.82 fof(axiom_9, axiom, ! [_49119, _49122, _49125, _49128] : (~ id(_49119, _49125) | ~ id(_49122, _49128) | ~ r2(_49119, _49122) & ~ r2(_49125, _49128) | r2(_49119, _49122) & r2(_49125, _49128)), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_9)).
% 72.06/69.82 fof(axiom_1a, axiom, ! [_49433, _49436] : ? [_49444] : (? [_49452] : (id(_49452, _49444) & ? [_49470] : (r2(_49436, _49470) & r3(_49433, _49470, _49452))) & ? [_49501] : (r2(_49501, _49444) & r3(_49433, _49436, _49501))), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_1a)).
% 72.06/69.82 fof(axiom_3a, axiom, ! [_49805, _49808] : (! [_49816] : (! [_49824] : (~ id(_49824, _49816) | ~ r2(_49805, _49824)) | ~ r2(_49808, _49816)) | id(_49805, _49808)), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_3a)).
% 72.06/69.82 fof(axiom_4a, axiom, ! [_50089] : ? [_50097] : (id(_50097, _50089) & ? [_50115] : (r1(_50115) & r3(_50089, _50115, _50097))), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_4a)).
% 72.06/69.82 fof(axiom_7a, axiom, ! [_50321, _50324] : (! [_50332] : (~ id(_50332, _50324) | ~ r1(_50332)) | ~ r2(_50321, _50324)), file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax', axiom_7a)).
% 72.06/69.82
% 72.06/69.82 cnf(1, plain, [-(r2(23 ^ [_23035], 22 ^ [_23035])), -(id(_23035, 24 ^ [_23035]))], clausify(nonzerononetwoexistid)).
% 72.06/69.82 cnf(2, plain, [-(r2(23 ^ [_23035], 22 ^ [_23035])), -(r1(24 ^ [_23035]))], clausify(nonzerononetwoexistid)).
% 72.06/69.82 cnf(3, plain, [-(r2(22 ^ [_23035], 21 ^ [_23035])), -(id(_23035, 24 ^ [_23035]))], clausify(nonzerononetwoexistid)).
% 72.06/69.82 cnf(4, plain, [-(r2(22 ^ [_23035], 21 ^ [_23035])), -(r1(24 ^ [_23035]))], clausify(nonzerononetwoexistid)).
% 72.06/69.82 cnf(5, plain, [-(id(_23035, 21 ^ [_23035])), -(id(_23035, 24 ^ [_23035]))], clausify(nonzerononetwoexistid)).
% 72.06/69.82 cnf(6, plain, [-(id(_23035, 21 ^ [_23035])), -(r1(24 ^ [_23035]))], clausify(nonzerononetwoexistid)).
% 72.06/69.82 cnf(7, plain, [-(id(_23951, 1 ^ [])), r1(_23951)], clausify(axiom_1)).
% 72.06/69.82 cnf(8, plain, [-(r1(_23951)), id(_23951, 1 ^ [])], clausify(axiom_1)).
% 72.06/69.82 cnf(9, plain, [-(id(_24102, 2 ^ [_10280])), r2(_10280, _24102)], clausify(axiom_2)).
% 72.06/69.82 cnf(10, plain, [-(r2(_10280, _24102)), id(_24102, 2 ^ [_10280])], clausify(axiom_2)).
% 72.06/69.82 cnf(11, plain, [-(id(_12448, _12448))], clausify(axiom_5)).
% 72.06/69.82 cnf(12, plain, [id(_12622, _12669), -(id(_12669, _12622))], clausify(axiom_6)).
% 72.06/69.82 cnf(13, plain, [id(_13463, _13528), r1(_13528), -(r1(_13463))], clausify(axiom_8)).
% 72.06/69.82 cnf(14, plain, [id(_13999, _14172), id(_14086, _14257), r2(_13999, _14086), -(r2(_14172, _14257))], clausify(axiom_9)).
% 72.06/69.82 cnf(15, plain, [-(r2(_18017, 7 ^ [_18017, _17932]))], clausify(axiom_1a)).
% 72.06/69.82 cnf(16, plain, [-(id(_19938, _20011)), r2(_20011, _20093), id(_20168, _20093), r2(_19938, _20168)], clausify(axiom_3a)).
% 72.06/69.82 cnf(17, plain, [-(r1(14 ^ [_20635]))], clausify(axiom_4a)).
% 72.06/69.82 cnf(18, plain, [r2(_22288, _22349), id(_22419, _22349), r1(_22419)], clausify(axiom_7a)).
% 72.06/69.82
% 72.06/69.82 cnf('1',plain,[r2(23 ^ [2 ^ [14 ^ [_33336]]], 22 ^ [2 ^ [14 ^ [_33336]]]), id(22 ^ [2 ^ [14 ^ [_33336]]], 22 ^ [2 ^ [14 ^ [_33336]]]), r1(22 ^ [2 ^ [14 ^ [_33336]]])],start(18,bind([[_22288, _22349, _22419], [23 ^ [2 ^ [14 ^ [_33336]]], 22 ^ [2 ^ [14 ^ [_33336]]], 22 ^ [2 ^ [14 ^ [_33336]]]]]))).
% 72.06/69.82 cnf('1.1',plain,[-(r2(23 ^ [2 ^ [14 ^ [_33336]]], 22 ^ [2 ^ [14 ^ [_33336]]])), -(id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]))],extension(1,bind([[_23035], [2 ^ [14 ^ [_33336]]]]))).
% 72.06/69.82 cnf('1.1.1',plain,[id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]), -(id(24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]]))],extension(12,bind([[_12669, _12622], [24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]]]]))).
% 72.06/69.82 cnf('1.1.1.1',plain,[id(24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]]), -(r2(14 ^ [_33336], 24 ^ [2 ^ [14 ^ [_33336]]]))],extension(10,bind([[_10280, _24102], [14 ^ [_33336], 24 ^ [2 ^ [14 ^ [_33336]]]]]))).
% 72.06/69.82 cnf('1.1.1.1.1',plain,[r2(14 ^ [_33336], 24 ^ [2 ^ [14 ^ [_33336]]]), id(14 ^ [_33336], 24 ^ [14 ^ [_33336]]), id(24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]]), -(r2(24 ^ [14 ^ [_33336]], 2 ^ [14 ^ [_33336]]))],extension(14,bind([[_13999, _14086, _14172, _14257], [14 ^ [_33336], 24 ^ [2 ^ [14 ^ [_33336]]], 24 ^ [14 ^ [_33336]], 2 ^ [14 ^ [_33336]]]]))).
% 72.06/69.82 cnf('1.1.1.1.1.1',plain,[-(id(14 ^ [_33336], 24 ^ [14 ^ [_33336]])), -(r2(22 ^ [14 ^ [_33336]], 21 ^ [14 ^ [_33336]]))],extension(3,bind([[_23035], [14 ^ [_33336]]]))).
% 72.06/69.82 cnf('1.1.1.1.1.1.1',plain,[r2(22 ^ [14 ^ [_33336]], 21 ^ [14 ^ [_33336]]), id(14 ^ [_33336], 21 ^ [14 ^ [_33336]]), r1(14 ^ [_33336])],extension(18,bind([[_22288, _22349, _22419], [22 ^ [14 ^ [_33336]], 21 ^ [14 ^ [_33336]], 14 ^ [_33336]]]))).
% 72.06/69.82 cnf('1.1.1.1.1.1.1.1',plain,[-(id(14 ^ [_33336], 21 ^ [14 ^ [_33336]])), -(id(14 ^ [_33336], 24 ^ [14 ^ [_33336]]))],extension(5,bind([[_23035], [14 ^ [_33336]]]))).
% 72.06/69.82 cnf('1.1.1.1.1.1.1.1.1',plain,[id(14 ^ [_33336], 24 ^ [14 ^ [_33336]])],reduction('1.1.1.1.1')).
% 72.06/69.82 cnf('1.1.1.1.1.1.1.2',plain,[-(r1(14 ^ [_33336]))],extension(17,bind([[_20635], [_33336]]))).
% 72.06/69.82 cnf('1.1.1.1.1.2',plain,[-(id(24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]]))],reduction('1.1.1')).
% 72.06/69.82 cnf('1.1.1.1.1.3',plain,[r2(24 ^ [14 ^ [_33336]], 2 ^ [14 ^ [_33336]]), id(24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]]), r1(24 ^ [2 ^ [14 ^ [_33336]]])],extension(18,bind([[_22288, _22349, _22419], [24 ^ [14 ^ [_33336]], 2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]]]))).
% 72.06/69.82 cnf('1.1.1.1.1.3.1',plain,[-(id(24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]]))],lemmata('1.1.1.1.1')).
% 72.06/69.82 cnf('1.1.1.1.1.3.2',plain,[-(r1(24 ^ [2 ^ [14 ^ [_33336]]])), -(r2(23 ^ [2 ^ [14 ^ [_33336]]], 22 ^ [2 ^ [14 ^ [_33336]]]))],extension(2,bind([[_23035], [2 ^ [14 ^ [_33336]]]]))).
% 72.06/69.82 cnf('1.1.1.1.1.3.2.1',plain,[r2(23 ^ [2 ^ [14 ^ [_33336]]], 22 ^ [2 ^ [14 ^ [_33336]]])],reduction('1')).
% 72.06/69.82 cnf('1.2',plain,[-(id(22 ^ [2 ^ [14 ^ [_33336]]], 22 ^ [2 ^ [14 ^ [_33336]]]))],extension(11,bind([[_12448], [22 ^ [2 ^ [14 ^ [_33336]]]]]))).
% 72.06/69.82 cnf('1.3',plain,[-(r1(22 ^ [2 ^ [14 ^ [_33336]]])), id(22 ^ [2 ^ [14 ^ [_33336]]], 1 ^ [])],extension(8,bind([[_23951], [22 ^ [2 ^ [14 ^ [_33336]]]]]))).
% 72.06/69.82 cnf('1.3.1',plain,[-(id(22 ^ [2 ^ [14 ^ [_33336]]], 1 ^ [])), id(1 ^ [], 22 ^ [2 ^ [14 ^ [_33336]]])],extension(12,bind([[_12622, _12669], [1 ^ [], 22 ^ [2 ^ [14 ^ [_33336]]]]]))).
% 72.06/69.82 cnf('1.3.1.1',plain,[-(id(1 ^ [], 22 ^ [2 ^ [14 ^ [_33336]]])), r2(22 ^ [2 ^ [14 ^ [_33336]]], 21 ^ [2 ^ [14 ^ [_33336]]]), id(2 ^ [14 ^ [_33336]], 21 ^ [2 ^ [14 ^ [_33336]]]), r2(1 ^ [], 2 ^ [14 ^ [_33336]])],extension(16,bind([[_20011, _20093, _19938, _20168], [22 ^ [2 ^ [14 ^ [_33336]]], 21 ^ [2 ^ [14 ^ [_33336]]], 1 ^ [], 2 ^ [14 ^ [_33336]]]]))).
% 72.06/69.82 cnf('1.3.1.1.1',plain,[-(r2(22 ^ [2 ^ [14 ^ [_33336]]], 21 ^ [2 ^ [14 ^ [_33336]]])), -(id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]))],extension(3,bind([[_23035], [2 ^ [14 ^ [_33336]]]]))).
% 72.06/69.82 cnf('1.3.1.1.1.1',plain,[id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]), r2(14 ^ [_33336], 24 ^ [2 ^ [14 ^ [_33336]]]), r1(2 ^ [14 ^ [_33336]])],extension(18,bind([[_22288, _22349, _22419], [14 ^ [_33336], 24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]]]]))).
% 72.06/69.82 cnf('1.3.1.1.1.1.1',plain,[-(r2(14 ^ [_33336], 24 ^ [2 ^ [14 ^ [_33336]]])), id(24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]])],extension(10,bind([[_24102, _10280], [24 ^ [2 ^ [14 ^ [_33336]]], 14 ^ [_33336]]]))).
% 72.06/69.82 cnf('1.3.1.1.1.1.1.1',plain,[-(id(24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]])), id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]])],extension(12,bind([[_12622, _12669], [2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]]]))).
% 72.06/69.82 cnf('1.3.1.1.1.1.1.1.1',plain,[-(id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]))],reduction('1.3.1.1.1')).
% 72.06/69.82 cnf('1.3.1.1.1.1.2',plain,[-(r1(2 ^ [14 ^ [_33336]])), id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]), r1(24 ^ [2 ^ [14 ^ [_33336]]])],extension(13,bind([[_13463, _13528], [2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]]]))).
% 72.06/69.82 cnf('1.3.1.1.1.1.2.1',plain,[-(id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]))],reduction('1.3.1.1.1')).
% 72.06/69.82 cnf('1.3.1.1.1.1.2.2',plain,[-(r1(24 ^ [2 ^ [14 ^ [_33336]]])), -(r2(22 ^ [2 ^ [14 ^ [_33336]]], 21 ^ [2 ^ [14 ^ [_33336]]]))],extension(4,bind([[_23035], [2 ^ [14 ^ [_33336]]]]))).
% 72.06/69.82 cnf('1.3.1.1.1.1.2.2.1',plain,[r2(22 ^ [2 ^ [14 ^ [_33336]]], 21 ^ [2 ^ [14 ^ [_33336]]])],reduction('1.3.1.1')).
% 72.06/69.82 cnf('1.3.1.1.2',plain,[-(id(2 ^ [14 ^ [_33336]], 21 ^ [2 ^ [14 ^ [_33336]]])), -(id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]))],extension(5,bind([[_23035], [2 ^ [14 ^ [_33336]]]]))).
% 72.06/69.82 cnf('1.3.1.1.2.1',plain,[id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]), r2(14 ^ [_33336], 24 ^ [2 ^ [14 ^ [_33336]]]), r1(2 ^ [14 ^ [_33336]])],extension(18,bind([[_22288, _22349, _22419], [14 ^ [_33336], 24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]]]]))).
% 72.06/69.82 cnf('1.3.1.1.2.1.1',plain,[-(r2(14 ^ [_33336], 24 ^ [2 ^ [14 ^ [_33336]]])), id(24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]])],extension(10,bind([[_24102, _10280], [24 ^ [2 ^ [14 ^ [_33336]]], 14 ^ [_33336]]]))).
% 72.06/69.82 cnf('1.3.1.1.2.1.1.1',plain,[-(id(24 ^ [2 ^ [14 ^ [_33336]]], 2 ^ [14 ^ [_33336]])), id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]])],extension(12,bind([[_12622, _12669], [2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]]]))).
% 72.06/69.82 cnf('1.3.1.1.2.1.1.1.1',plain,[-(id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]))],reduction('1.3.1.1.2')).
% 72.06/69.82 cnf('1.3.1.1.2.1.2',plain,[-(r1(2 ^ [14 ^ [_33336]])), id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]), r1(24 ^ [2 ^ [14 ^ [_33336]]])],extension(13,bind([[_13463, _13528], [2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]]]))).
% 72.06/69.82 cnf('1.3.1.1.2.1.2.1',plain,[-(id(2 ^ [14 ^ [_33336]], 24 ^ [2 ^ [14 ^ [_33336]]]))],reduction('1.3.1.1.2')).
% 72.06/69.82 cnf('1.3.1.1.2.1.2.2',plain,[-(r1(24 ^ [2 ^ [14 ^ [_33336]]])), -(id(2 ^ [14 ^ [_33336]], 21 ^ [2 ^ [14 ^ [_33336]]]))],extension(6,bind([[_23035], [2 ^ [14 ^ [_33336]]]]))).
% 72.06/69.82 cnf('1.3.1.1.2.1.2.2.1',plain,[id(2 ^ [14 ^ [_33336]], 21 ^ [2 ^ [14 ^ [_33336]]])],reduction('1.3.1.1')).
% 72.06/69.82 cnf('1.3.1.1.3',plain,[-(r2(1 ^ [], 2 ^ [14 ^ [_33336]])), id(14 ^ [_33336], 1 ^ []), id(7 ^ [14 ^ [_33336], _34051], 2 ^ [14 ^ [_33336]]), r2(14 ^ [_33336], 7 ^ [14 ^ [_33336], _34051])],extension(14,bind([[_14172, _14257, _13999, _14086], [1 ^ [], 2 ^ [14 ^ [_33336]], 14 ^ [_33336], 7 ^ [14 ^ [_33336], _34051]]]))).
% 72.06/69.82 cnf('1.3.1.1.3.1',plain,[-(id(14 ^ [_33336], 1 ^ [])), r1(14 ^ [_33336])],extension(7,bind([[_23951], [14 ^ [_33336]]]))).
% 72.06/69.82 cnf('1.3.1.1.3.1.1',plain,[-(r1(14 ^ [_33336]))],extension(17,bind([[_20635], [_33336]]))).
% 72.06/69.82 cnf('1.3.1.1.3.2',plain,[-(id(7 ^ [14 ^ [_33336], _34051], 2 ^ [14 ^ [_33336]])), r2(14 ^ [_33336], 7 ^ [14 ^ [_33336], _34051])],extension(9,bind([[_10280, _24102], [14 ^ [_33336], 7 ^ [14 ^ [_33336], _34051]]]))).
% 72.06/69.82 cnf('1.3.1.1.3.2.1',plain,[-(r2(14 ^ [_33336], 7 ^ [14 ^ [_33336], _34051]))],extension(15,bind([[_18017, _17932], [14 ^ [_33336], _34051]]))).
% 72.06/69.82 cnf('1.3.1.1.3.3',plain,[-(r2(14 ^ [_33336], 7 ^ [14 ^ [_33336], _34051]))],extension(15,bind([[_18017, _17932], [14 ^ [_33336], _34051]]))).
% 72.06/69.82 %-----------------------------------------------------
% 72.06/69.83
% 72.06/69.83 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------