TSTP Solution File: SWV384+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 : Wed Jul 20 19:50:41 EDT 2022
% Result : Theorem 6.15s 6.48s
% Output : Proof 6.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07 % Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.07 % Command : leancop_casc.sh %s %d
% 0.07/0.26 % Computer : n016.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Tue Jun 14 17:23:01 EDT 2022
% 0.07/0.26 % CPUTime :
% 6.15/6.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.15/6.48 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.15/6.49
% 6.15/6.49 %-----------------------------------------------------
% 6.15/6.49 fof(l20_co, conjecture, ! [_108177, _108180, _108183] : (~ check_cpq(triple(_108177, _108180, _108183)) | ~ ok(triple(_108177, _108180, _108183)) => ! [_108229, _108232, _108235] : (succ_cpq(triple(_108177, _108180, _108183), triple(_108229, _108232, _108235)) => ~ ok(triple(_108229, _108232, _108235)) | ~ check_cpq(triple(_108229, _108232, _108235)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l20_co)).
% 6.15/6.49 fof(l12_l13, lemma, ! [_108716, _108719, _108722] : (~ check_cpq(triple(_108716, _108719, _108722)) | ~ ok(triple(_108716, _108719, _108722)) => ~ check_cpq(im_succ_cpq(triple(_108716, _108719, _108722))) | ~ ok(im_succ_cpq(triple(_108716, _108719, _108722)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l12_l13)).
% 6.15/6.49 fof(l20_induction, axiom, ! [_109053, _109056, _109059, _109062, _109065, _109068] : (succ_cpq(triple(_109053, _109056, _109059), triple(_109062, _109065, _109068)) => ~ check_cpq(triple(_109062, _109065, _109068)) | ~ ok(triple(_109062, _109065, _109068)) => ~ check_cpq(im_succ_cpq(triple(_109062, _109065, _109068))) | ~ ok(im_succ_cpq(triple(_109062, _109065, _109068)))) => ! [_109190, _109193, _109196] : (~ check_cpq(triple(_109190, _109193, _109196)) | ~ ok(triple(_109190, _109193, _109196)) => ! [_109242, _109245, _109248] : (succ_cpq(triple(_109190, _109193, _109196), triple(_109242, _109245, _109248)) => ~ ok(triple(_109242, _109245, _109248)) | ~ check_cpq(triple(_109242, _109245, _109248)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l20_induction)).
% 6.15/6.49 fof(ax31, axiom, ! [_109925] : succ_cpq(_109925, _109925), file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax', ax31)).
% 6.15/6.49
% 6.15/6.49 cnf(1, plain, [-(succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))], clausify(l20_co)).
% 6.15/6.49 cnf(2, plain, [-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))], clausify(l20_co)).
% 6.15/6.49 cnf(3, plain, [-(check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ [])))], clausify(l20_co)).
% 6.15/6.49 cnf(4, plain, [check_cpq(triple(7 ^ [], 8 ^ [], 9 ^ [])), ok(triple(7 ^ [], 8 ^ [], 9 ^ []))], clausify(l20_co)).
% 6.15/6.49 cnf(5, plain, [-(_26631 = _26631)], theory(equality)).
% 6.15/6.49 cnf(6, plain, [-(check_cpq(_27588)), _27539 = _27588, check_cpq(_27539)], theory(equality)).
% 6.15/6.49 cnf(7, plain, [-(check_cpq(triple(_66756, _66842, _66927))), check_cpq(im_succ_cpq(triple(_66756, _66842, _66927))), ok(im_succ_cpq(triple(_66756, _66842, _66927)))], clausify(l12_l13)).
% 6.15/6.49 cnf(8, plain, [-(ok(triple(_66756, _66842, _66927))), check_cpq(im_succ_cpq(triple(_66756, _66842, _66927))), ok(im_succ_cpq(triple(_66756, _66842, _66927)))], clausify(l12_l13)).
% 6.15/6.49 cnf(9, plain, [-(check_cpq(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), -(check_cpq(triple(_65253, _65364, _65474))), succ_cpq(triple(_65253, _65364, _65474), triple(_65860, _65946, _66031)), ok(triple(_65860, _65946, _66031)), check_cpq(triple(_65860, _65946, _66031))], clausify(l20_induction)).
% 6.15/6.49 cnf(10, plain, [-(check_cpq(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), -(ok(triple(_65253, _65364, _65474))), succ_cpq(triple(_65253, _65364, _65474), triple(_65860, _65946, _66031)), ok(triple(_65860, _65946, _66031)), check_cpq(triple(_65860, _65946, _66031))], clausify(l20_induction)).
% 6.15/6.49 cnf(11, plain, [-(ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), -(check_cpq(triple(_65253, _65364, _65474))), succ_cpq(triple(_65253, _65364, _65474), triple(_65860, _65946, _66031)), ok(triple(_65860, _65946, _66031)), check_cpq(triple(_65860, _65946, _66031))], clausify(l20_induction)).
% 6.15/6.49 cnf(12, plain, [-(ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), -(ok(triple(_65253, _65364, _65474))), succ_cpq(triple(_65253, _65364, _65474), triple(_65860, _65946, _66031)), ok(triple(_65860, _65946, _66031)), check_cpq(triple(_65860, _65946, _66031))], clausify(l20_induction)).
% 6.15/6.49 cnf(13, plain, [ok(triple(4 ^ [], 5 ^ [], 6 ^ [])), check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])), -(check_cpq(triple(_65253, _65364, _65474))), succ_cpq(triple(_65253, _65364, _65474), triple(_65860, _65946, _66031)), ok(triple(_65860, _65946, _66031)), check_cpq(triple(_65860, _65946, _66031))], clausify(l20_induction)).
% 6.15/6.49 cnf(14, plain, [ok(triple(4 ^ [], 5 ^ [], 6 ^ [])), check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])), -(ok(triple(_65253, _65364, _65474))), succ_cpq(triple(_65253, _65364, _65474), triple(_65860, _65946, _66031)), ok(triple(_65860, _65946, _66031)), check_cpq(triple(_65860, _65946, _66031))], clausify(l20_induction)).
% 6.15/6.49 cnf(15, plain, [-(succ_cpq(_50163, _50163))], clausify(ax31)).
% 6.15/6.49
% 6.15/6.49 cnf('1',plain,[check_cpq(triple(7 ^ [], 8 ^ [], 9 ^ [])), ok(triple(7 ^ [], 8 ^ [], 9 ^ []))],start(4)).
% 6.15/6.49 cnf('1.1',plain,[-(check_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []))), -(check_cpq(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])), ok(triple(10 ^ [], 11 ^ [], 12 ^ [])), check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ []))],extension(9,bind([[_65253, _65364, _65474, _65860, _65946, _66031], [7 ^ [], 8 ^ [], 9 ^ [], 10 ^ [], 11 ^ [], 12 ^ []]]))).
% 6.15/6.49 cnf('1.1.1',plain,[check_cpq(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))), -(check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))), ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))],extension(7,bind([[_66756, _66842, _66927], [4 ^ [], 5 ^ [], 6 ^ []]]))).
% 6.15/6.49 cnf('1.1.1.1',plain,[check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])), ok(triple(4 ^ [], 5 ^ [], 6 ^ [])), -(check_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []))), succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])), ok(triple(10 ^ [], 11 ^ [], 12 ^ [])), check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ []))],extension(13,bind([[_65253, _65364, _65474, _65860, _65946, _66031], [7 ^ [], 8 ^ [], 9 ^ [], 10 ^ [], 11 ^ [], 12 ^ []]]))).
% 6.15/6.49 cnf('1.1.1.1.1',plain,[-(ok(triple(4 ^ [], 5 ^ [], 6 ^ []))), check_cpq(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))), ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))],extension(8,bind([[_66756, _66842, _66927], [4 ^ [], 5 ^ [], 6 ^ []]]))).
% 6.15/6.49 cnf('1.1.1.1.1.1',plain,[-(check_cpq(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))))],reduction('1.1')).
% 6.15/6.49 cnf('1.1.1.1.1.2',plain,[-(ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), -(check_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []))), succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])), ok(triple(10 ^ [], 11 ^ [], 12 ^ [])), check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ []))],extension(11,bind([[_65253, _65364, _65474, _65860, _65946, _66031], [7 ^ [], 8 ^ [], 9 ^ [], 10 ^ [], 11 ^ [], 12 ^ []]]))).
% 6.15/6.49 cnf('1.1.1.1.1.2.1',plain,[check_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []))],reduction('1')).
% 6.15/6.49 cnf('1.1.1.1.1.2.2',plain,[-(succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(1)).
% 6.15/6.49 cnf('1.1.1.1.1.2.3',plain,[-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(2)).
% 6.15/6.49 cnf('1.1.1.1.1.2.4',plain,[-(check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(3)).
% 6.15/6.49 cnf('1.1.1.1.2',plain,[check_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []))],reduction('1')).
% 6.15/6.49 cnf('1.1.1.1.3',plain,[-(succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(1)).
% 6.15/6.49 cnf('1.1.1.1.4',plain,[-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(2)).
% 6.15/6.49 cnf('1.1.1.1.5',plain,[-(check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(3)).
% 6.15/6.49 cnf('1.1.1.2',plain,[-(ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), -(check_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []))), succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])), ok(triple(10 ^ [], 11 ^ [], 12 ^ [])), check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ []))],extension(11,bind([[_65253, _65364, _65474, _65860, _65946, _66031], [7 ^ [], 8 ^ [], 9 ^ [], 10 ^ [], 11 ^ [], 12 ^ []]]))).
% 6.15/6.49 cnf('1.1.1.2.1',plain,[check_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []))],reduction('1')).
% 6.15/6.49 cnf('1.1.1.2.2',plain,[-(succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(1)).
% 6.15/6.49 cnf('1.1.1.2.3',plain,[-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(2)).
% 6.15/6.49 cnf('1.1.1.2.4',plain,[-(check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(3)).
% 6.15/6.49 cnf('1.1.2',plain,[-(succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(1)).
% 6.15/6.49 cnf('1.1.3',plain,[-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(2)).
% 6.15/6.49 cnf('1.1.4',plain,[-(check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(3)).
% 6.15/6.49 cnf('1.2',plain,[-(ok(triple(7 ^ [], 8 ^ [], 9 ^ []))), -(check_cpq(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])), ok(triple(10 ^ [], 11 ^ [], 12 ^ [])), check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ []))],extension(10,bind([[_65253, _65364, _65474, _65860, _65946, _66031], [7 ^ [], 8 ^ [], 9 ^ [], 10 ^ [], 11 ^ [], 12 ^ []]]))).
% 6.15/6.49 cnf('1.2.1',plain,[check_cpq(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))), -(ok(triple(4 ^ [], 5 ^ [], 6 ^ []))), ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))],extension(8,bind([[_66756, _66842, _66927], [4 ^ [], 5 ^ [], 6 ^ []]]))).
% 6.15/6.49 cnf('1.2.1.1',plain,[ok(triple(4 ^ [], 5 ^ [], 6 ^ [])), check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])), -(check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))), succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []), triple(4 ^ [], 5 ^ [], 6 ^ [])), ok(triple(4 ^ [], 5 ^ [], 6 ^ [])), check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))],extension(13,bind([[_65253, _65364, _65474, _65860, _65946, _66031], [4 ^ [], 5 ^ [], 6 ^ [], 4 ^ [], 5 ^ [], 6 ^ []]]))).
% 6.15/6.49 cnf('1.2.1.1.1',plain,[-(check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))), check_cpq(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))), ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))],extension(7,bind([[_66756, _66842, _66927], [4 ^ [], 5 ^ [], 6 ^ []]]))).
% 6.15/6.49 cnf('1.2.1.1.1.1',plain,[-(check_cpq(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))))],reduction('1.2')).
% 6.15/6.49 cnf('1.2.1.1.1.2',plain,[-(ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), -(ok(triple(7 ^ [], 8 ^ [], 9 ^ []))), succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])), ok(triple(10 ^ [], 11 ^ [], 12 ^ [])), check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ []))],extension(12,bind([[_65253, _65364, _65474, _65860, _65946, _66031], [7 ^ [], 8 ^ [], 9 ^ [], 10 ^ [], 11 ^ [], 12 ^ []]]))).
% 6.15/6.49 cnf('1.2.1.1.1.2.1',plain,[ok(triple(7 ^ [], 8 ^ [], 9 ^ []))],reduction('1')).
% 6.15/6.49 cnf('1.2.1.1.1.2.2',plain,[-(succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(1)).
% 6.15/6.49 cnf('1.2.1.1.1.2.3',plain,[-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(2)).
% 6.15/6.49 cnf('1.2.1.1.1.2.4',plain,[-(check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(3)).
% 6.15/6.49 cnf('1.2.1.1.2',plain,[check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])), ok(triple(4 ^ [], 5 ^ [], 6 ^ [])), -(check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))), succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []), triple(4 ^ [], 5 ^ [], 6 ^ [])), ok(triple(4 ^ [], 5 ^ [], 6 ^ [])), check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))],extension(13,bind([[_65253, _65364, _65474, _65860, _65946, _66031], [4 ^ [], 5 ^ [], 6 ^ [], 4 ^ [], 5 ^ [], 6 ^ []]]))).
% 6.15/6.49 cnf('1.2.1.1.2.1',plain,[-(ok(triple(4 ^ [], 5 ^ [], 6 ^ [])))],reduction('1.2.1')).
% 6.15/6.49 cnf('1.2.1.1.2.2',plain,[check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])), ok(triple(4 ^ [], 5 ^ [], 6 ^ [])), -(ok(triple(7 ^ [], 8 ^ [], 9 ^ []))), succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])), ok(triple(10 ^ [], 11 ^ [], 12 ^ [])), check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ []))],extension(14,bind([[_65253, _65364, _65474, _65860, _65946, _66031], [7 ^ [], 8 ^ [], 9 ^ [], 10 ^ [], 11 ^ [], 12 ^ []]]))).
% 6.15/6.49 cnf('1.2.1.1.2.2.1',plain,[-(ok(triple(4 ^ [], 5 ^ [], 6 ^ [])))],lemmata('1.2.1.1.2')).
% 6.15/6.49 cnf('1.2.1.1.2.2.2',plain,[ok(triple(7 ^ [], 8 ^ [], 9 ^ []))],reduction('1')).
% 6.15/6.49 cnf('1.2.1.1.2.2.3',plain,[-(succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(1)).
% 6.15/6.49 cnf('1.2.1.1.2.2.4',plain,[-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(2)).
% 6.15/6.49 cnf('1.2.1.1.2.2.5',plain,[-(check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(3)).
% 6.15/6.49 cnf('1.2.1.1.2.3',plain,[-(succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []), triple(4 ^ [], 5 ^ [], 6 ^ [])))],extension(15,bind([[_50163], [triple(4 ^ [], 5 ^ [], 6 ^ [])]]))).
% 6.15/6.49 cnf('1.2.1.1.2.4',plain,[-(ok(triple(4 ^ [], 5 ^ [], 6 ^ [])))],lemmata('1.2.1.1.2')).
% 6.15/6.49 cnf('1.2.1.1.2.5',plain,[-(check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))],lemmata('1.2.1.1')).
% 6.15/6.49 cnf('1.2.1.1.3',plain,[-(succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []), triple(4 ^ [], 5 ^ [], 6 ^ [])))],extension(15,bind([[_50163], [triple(4 ^ [], 5 ^ [], 6 ^ [])]]))).
% 6.15/6.49 cnf('1.2.1.1.4',plain,[-(ok(triple(4 ^ [], 5 ^ [], 6 ^ [])))],reduction('1.2.1')).
% 6.15/6.49 cnf('1.2.1.1.5',plain,[-(check_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))],lemmata('1.2.1.1')).
% 6.15/6.49 cnf('1.2.1.2',plain,[-(ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), -(check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ []))), succ_cpq(triple(10 ^ [], 11 ^ [], 12 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])), ok(triple(10 ^ [], 11 ^ [], 12 ^ [])), check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ []))],extension(11,bind([[_65253, _65364, _65474, _65860, _65946, _66031], [10 ^ [], 11 ^ [], 12 ^ [], 10 ^ [], 11 ^ [], 12 ^ []]]))).
% 6.15/6.49 cnf('1.2.1.2.1',plain,[check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ [])), -(check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ []))), triple(10 ^ [], 11 ^ [], 12 ^ []) = triple(10 ^ [], 11 ^ [], 12 ^ [])],extension(6,bind([[_27539, _27588], [triple(10 ^ [], 11 ^ [], 12 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])]]))).
% 6.15/6.49 cnf('1.2.1.2.1.1',plain,[check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ [])), -(ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), -(ok(triple(7 ^ [], 8 ^ [], 9 ^ []))), succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])), ok(triple(10 ^ [], 11 ^ [], 12 ^ []))],extension(12,bind([[_65253, _65364, _65474, _65860, _65946, _66031], [7 ^ [], 8 ^ [], 9 ^ [], 10 ^ [], 11 ^ [], 12 ^ []]]))).
% 6.15/6.49 cnf('1.2.1.2.1.1.1',plain,[ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))],reduction('1.2.1')).
% 6.15/6.49 cnf('1.2.1.2.1.1.2',plain,[ok(triple(7 ^ [], 8 ^ [], 9 ^ []))],reduction('1')).
% 6.15/6.49 cnf('1.2.1.2.1.1.3',plain,[-(succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(1)).
% 6.15/6.49 cnf('1.2.1.2.1.1.4',plain,[-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(2)).
% 6.15/6.49 cnf('1.2.1.2.1.2',plain,[-(triple(10 ^ [], 11 ^ [], 12 ^ []) = triple(10 ^ [], 11 ^ [], 12 ^ []))],extension(5,bind([[_26631], [triple(10 ^ [], 11 ^ [], 12 ^ [])]]))).
% 6.15/6.49 cnf('1.2.1.2.2',plain,[-(succ_cpq(triple(10 ^ [], 11 ^ [], 12 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(15,bind([[_50163], [triple(10 ^ [], 11 ^ [], 12 ^ [])]]))).
% 6.15/6.49 cnf('1.2.1.2.3',plain,[-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(2)).
% 6.15/6.49 cnf('1.2.1.2.4',plain,[-(check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(3)).
% 6.15/6.49 cnf('1.2.2',plain,[-(succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(1)).
% 6.15/6.49 cnf('1.2.3',plain,[-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(2)).
% 6.15/6.49 cnf('1.2.4',plain,[-(check_cpq(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(3)).
% 6.15/6.49 %-----------------------------------------------------
% 6.15/6.49
% 6.15/6.49 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------