TSTP Solution File: SEU254+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU254+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 : Tue Jul 19 12:01:28 EDT 2022
% Result : Theorem 72.72s 70.92s
% Output : Proof 72.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU254+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 00:17:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 72.72/70.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.72/70.93 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.72/70.93
% 72.72/70.93 %-----------------------------------------------------
% 72.72/70.93 fof(t24_wellord1, conjecture, ! [_49243, _49246] : (relation(_49246) => transitive(_49246) => transitive(relation_restriction(_49246, _49243))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t24_wellord1)).
% 72.72/70.93 fof(dt_k2_wellord1, axiom, ! [_49457, _49460] : (relation(_49457) => relation(relation_restriction(_49457, _49460))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_wellord1)).
% 72.72/70.93 fof(l2_wellord1, axiom, ! [_49609] : (relation(_49609) => (transitive(_49609) <=> ! [_49631, _49634, _49637] : (in(ordered_pair(_49631, _49634), _49609) & in(ordered_pair(_49634, _49637), _49609) => in(ordered_pair(_49631, _49637), _49609)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l2_wellord1)).
% 72.72/70.93 fof(t106_zfmisc_1, axiom, ! [_49960, _49963, _49966, _49969] : (in(ordered_pair(_49960, _49963), cartesian_product2(_49966, _49969)) <=> in(_49960, _49966) & in(_49963, _49969)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t106_zfmisc_1)).
% 72.72/70.93 fof(t16_wellord1, axiom, ! [_50212, _50215, _50218] : (relation(_50218) => (in(_50212, relation_restriction(_50218, _50215)) <=> in(_50212, _50218) & in(_50212, cartesian_product2(_50215, _50215)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t16_wellord1)).
% 72.72/70.93
% 72.72/70.93 cnf(1, plain, [-(relation(11 ^ []))], clausify(t24_wellord1)).
% 72.72/70.93 cnf(2, plain, [-(transitive(11 ^ []))], clausify(t24_wellord1)).
% 72.72/70.93 cnf(3, plain, [transitive(relation_restriction(11 ^ [], 10 ^ []))], clausify(t24_wellord1)).
% 72.72/70.93 cnf(4, plain, [relation(_22726), -(relation(relation_restriction(_22726, _22772)))], clausify(dt_k2_wellord1)).
% 72.72/70.93 cnf(5, plain, [relation(_24433), -(transitive(_24433)), -(in(ordered_pair(2 ^ [_24433], 3 ^ [_24433]), _24433))], clausify(l2_wellord1)).
% 72.72/70.93 cnf(6, plain, [relation(_24433), -(transitive(_24433)), -(in(ordered_pair(3 ^ [_24433], 4 ^ [_24433]), _24433))], clausify(l2_wellord1)).
% 72.72/70.93 cnf(7, plain, [relation(_24433), -(transitive(_24433)), in(ordered_pair(2 ^ [_24433], 4 ^ [_24433]), _24433)], clausify(l2_wellord1)).
% 72.72/70.93 cnf(8, plain, [relation(_24433), transitive(_24433), -(in(ordered_pair(_24589, _24726), _24433)), in(ordered_pair(_24589, _24658), _24433), in(ordered_pair(_24658, _24726), _24433)], clausify(l2_wellord1)).
% 72.72/70.93 cnf(9, plain, [in(ordered_pair(_26316, _26383), cartesian_product2(_26449, _26514)), -(in(_26316, _26449))], clausify(t106_zfmisc_1)).
% 72.72/70.93 cnf(10, plain, [in(ordered_pair(_26316, _26383), cartesian_product2(_26449, _26514)), -(in(_26383, _26514))], clausify(t106_zfmisc_1)).
% 72.72/70.93 cnf(11, plain, [-(in(ordered_pair(_26316, _26383), cartesian_product2(_26449, _26514))), in(_26316, _26449), in(_26383, _26514)], clausify(t106_zfmisc_1)).
% 72.72/70.93 cnf(12, plain, [relation(_27094), in(_26961, relation_restriction(_27094, _27028)), -(in(_26961, _27094))], clausify(t16_wellord1)).
% 72.72/70.93 cnf(13, plain, [relation(_27094), in(_26961, relation_restriction(_27094, _27028)), -(in(_26961, cartesian_product2(_27028, _27028)))], clausify(t16_wellord1)).
% 72.72/70.93 cnf(14, plain, [relation(_27094), -(in(_26961, relation_restriction(_27094, _27028))), in(_26961, _27094), in(_26961, cartesian_product2(_27028, _27028))], clausify(t16_wellord1)).
% 72.72/70.93
% 72.72/70.93 cnf('1',plain,[transitive(relation_restriction(11 ^ [], 10 ^ []))],start(3)).
% 72.72/70.93 cnf('1.1',plain,[-(transitive(relation_restriction(11 ^ [], 10 ^ []))), relation(relation_restriction(11 ^ [], 10 ^ [])), in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), relation_restriction(11 ^ [], 10 ^ []))],extension(7,bind([[_24433], [relation_restriction(11 ^ [], 10 ^ [])]]))).
% 72.72/70.93 cnf('1.1.1',plain,[-(relation(relation_restriction(11 ^ [], 10 ^ []))), relation(11 ^ [])],extension(4,bind([[_22772, _22726], [10 ^ [], 11 ^ []]]))).
% 72.72/70.93 cnf('1.1.1.1',plain,[-(relation(11 ^ []))],extension(1)).
% 72.72/70.93 cnf('1.1.2',plain,[-(in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), relation_restriction(11 ^ [], 10 ^ []))), relation(11 ^ []), in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), 11 ^ []), in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), cartesian_product2(10 ^ [], 10 ^ []))],extension(14,bind([[_27094, _26961, _27028], [11 ^ [], ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), 10 ^ []]]))).
% 72.72/70.93 cnf('1.1.2.1',plain,[-(relation(11 ^ []))],extension(1)).
% 72.72/70.93 cnf('1.1.2.2',plain,[-(in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), 11 ^ [])), relation(11 ^ []), transitive(11 ^ []), in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 3 ^ [relation_restriction(11 ^ [], 10 ^ [])]), 11 ^ []), in(ordered_pair(3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), 11 ^ [])],extension(8,bind([[_24589, _24658, _24726, _24433], [2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])], 11 ^ []]]))).
% 72.72/70.93 cnf('1.1.2.2.1',plain,[-(relation(11 ^ []))],extension(1)).
% 72.72/70.93 cnf('1.1.2.2.2',plain,[-(transitive(11 ^ []))],extension(2)).
% 72.72/70.93 cnf('1.1.2.2.3',plain,[-(in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 3 ^ [relation_restriction(11 ^ [], 10 ^ [])]), 11 ^ [])), relation(11 ^ []), in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 3 ^ [relation_restriction(11 ^ [], 10 ^ [])]), relation_restriction(11 ^ [], 10 ^ []))],extension(12,bind([[_26961, _27094, _27028], [ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 3 ^ [relation_restriction(11 ^ [], 10 ^ [])]), 11 ^ [], 10 ^ []]]))).
% 72.72/70.93 cnf('1.1.2.2.3.1',plain,[-(relation(11 ^ []))],extension(1)).
% 72.72/70.93 cnf('1.1.2.2.3.2',plain,[-(in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 3 ^ [relation_restriction(11 ^ [], 10 ^ [])]), relation_restriction(11 ^ [], 10 ^ []))), relation(relation_restriction(11 ^ [], 10 ^ [])), -(transitive(relation_restriction(11 ^ [], 10 ^ [])))],extension(5,bind([[_24433], [relation_restriction(11 ^ [], 10 ^ [])]]))).
% 72.72/70.93 cnf('1.1.2.2.3.2.1',plain,[-(relation(relation_restriction(11 ^ [], 10 ^ [])))],lemmata('1.1')).
% 72.72/70.93 cnf('1.1.2.2.3.2.2',plain,[transitive(relation_restriction(11 ^ [], 10 ^ []))],extension(3)).
% 72.72/70.93 cnf('1.1.2.2.4',plain,[-(in(ordered_pair(3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), 11 ^ [])), relation(11 ^ []), in(ordered_pair(3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), relation_restriction(11 ^ [], 10 ^ []))],extension(12,bind([[_26961, _27094, _27028], [ordered_pair(3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), 11 ^ [], 10 ^ []]]))).
% 72.72/70.93 cnf('1.1.2.2.4.1',plain,[-(relation(11 ^ []))],extension(1)).
% 72.72/70.93 cnf('1.1.2.2.4.2',plain,[-(in(ordered_pair(3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), relation_restriction(11 ^ [], 10 ^ []))), relation(relation_restriction(11 ^ [], 10 ^ [])), -(transitive(relation_restriction(11 ^ [], 10 ^ [])))],extension(6,bind([[_24433], [relation_restriction(11 ^ [], 10 ^ [])]]))).
% 72.72/70.93 cnf('1.1.2.2.4.2.1',plain,[-(relation(relation_restriction(11 ^ [], 10 ^ [])))],lemmata('1.1')).
% 72.72/70.93 cnf('1.1.2.2.4.2.2',plain,[transitive(relation_restriction(11 ^ [], 10 ^ []))],extension(3)).
% 72.72/70.93 cnf('1.1.2.3',plain,[-(in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), cartesian_product2(10 ^ [], 10 ^ []))), in(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 10 ^ []), in(4 ^ [relation_restriction(11 ^ [], 10 ^ [])], 10 ^ [])],extension(11,bind([[_26316, _26449, _26383, _26514], [2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 10 ^ [], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])], 10 ^ []]]))).
% 72.72/70.93 cnf('1.1.2.3.1',plain,[-(in(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 10 ^ [])), in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 3 ^ [relation_restriction(11 ^ [], 10 ^ [])]), cartesian_product2(10 ^ [], 10 ^ []))],extension(9,bind([[_26316, _26383, _26449, _26514], [2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 10 ^ [], 10 ^ []]]))).
% 72.72/70.93 cnf('1.1.2.3.1.1',plain,[-(in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 3 ^ [relation_restriction(11 ^ [], 10 ^ [])]), cartesian_product2(10 ^ [], 10 ^ []))), relation(11 ^ []), in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 3 ^ [relation_restriction(11 ^ [], 10 ^ [])]), relation_restriction(11 ^ [], 10 ^ []))],extension(13,bind([[_26961, _27094, _27028], [ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 3 ^ [relation_restriction(11 ^ [], 10 ^ [])]), 11 ^ [], 10 ^ []]]))).
% 72.72/70.93 cnf('1.1.2.3.1.1.1',plain,[-(relation(11 ^ []))],extension(1)).
% 72.72/70.93 cnf('1.1.2.3.1.1.2',plain,[-(in(ordered_pair(2 ^ [relation_restriction(11 ^ [], 10 ^ [])], 3 ^ [relation_restriction(11 ^ [], 10 ^ [])]), relation_restriction(11 ^ [], 10 ^ []))), relation(relation_restriction(11 ^ [], 10 ^ [])), -(transitive(relation_restriction(11 ^ [], 10 ^ [])))],extension(5,bind([[_24433], [relation_restriction(11 ^ [], 10 ^ [])]]))).
% 72.72/70.93 cnf('1.1.2.3.1.1.2.1',plain,[-(relation(relation_restriction(11 ^ [], 10 ^ [])))],lemmata('1.1')).
% 72.72/70.93 cnf('1.1.2.3.1.1.2.2',plain,[transitive(relation_restriction(11 ^ [], 10 ^ []))],extension(3)).
% 72.72/70.93 cnf('1.1.2.3.2',plain,[-(in(4 ^ [relation_restriction(11 ^ [], 10 ^ [])], 10 ^ [])), in(ordered_pair(3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), cartesian_product2(10 ^ [], 10 ^ []))],extension(10,bind([[_26316, _26383, _26449, _26514], [3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])], 10 ^ [], 10 ^ []]]))).
% 72.72/70.93 cnf('1.1.2.3.2.1',plain,[-(in(ordered_pair(3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), cartesian_product2(10 ^ [], 10 ^ []))), relation(11 ^ []), in(ordered_pair(3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), relation_restriction(11 ^ [], 10 ^ []))],extension(13,bind([[_26961, _27094, _27028], [ordered_pair(3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), 11 ^ [], 10 ^ []]]))).
% 72.72/70.93 cnf('1.1.2.3.2.1.1',plain,[-(relation(11 ^ []))],extension(1)).
% 72.72/70.93 cnf('1.1.2.3.2.1.2',plain,[-(in(ordered_pair(3 ^ [relation_restriction(11 ^ [], 10 ^ [])], 4 ^ [relation_restriction(11 ^ [], 10 ^ [])]), relation_restriction(11 ^ [], 10 ^ []))), relation(relation_restriction(11 ^ [], 10 ^ [])), -(transitive(relation_restriction(11 ^ [], 10 ^ [])))],extension(6,bind([[_24433], [relation_restriction(11 ^ [], 10 ^ [])]]))).
% 72.72/70.93 cnf('1.1.2.3.2.1.2.1',plain,[-(relation(relation_restriction(11 ^ [], 10 ^ [])))],lemmata('1.1')).
% 72.72/70.93 cnf('1.1.2.3.2.1.2.2',plain,[transitive(relation_restriction(11 ^ [], 10 ^ []))],extension(3)).
% 72.72/70.93 %-----------------------------------------------------
% 72.72/70.94
% 72.72/70.94 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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