TSTP Solution File: SEU253+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU253+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 12:01:27 EDT 2022
% Result : Theorem 1.73s 2.44s
% Output : Proof 1.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU253+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 600
% 0.18/0.33 % DateTime : Mon Jun 20 00:16:10 EDT 2022
% 0.18/0.33 % CPUTime :
% 1.73/2.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.73/2.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.73/2.45
% 1.73/2.45 %-----------------------------------------------------
% 1.73/2.45 fof(t23_wellord1, conjecture, ! [_64039, _64042] : (relation(_64042) => connected(_64042) => connected(relation_restriction(_64042, _64039))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t23_wellord1)).
% 1.73/2.45 fof(dt_k2_wellord1, axiom, ! [_64259, _64262] : (relation(_64259) => relation(relation_restriction(_64259, _64262))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_wellord1)).
% 1.73/2.45 fof(l4_wellord1, axiom, ! [_64414] : (relation(_64414) => (connected(_64414) <=> ! [_64436, _64439] : ~ (in(_64436, relation_field(_64414)) & in(_64439, relation_field(_64414)) & (! _64436) = _64439 & ~ in(ordered_pair(_64436, _64439), _64414) & ~ in(ordered_pair(_64439, _64436), _64414)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l4_wellord1)).
% 1.73/2.45 fof(t106_zfmisc_1, axiom, ! [_64862, _64865, _64868, _64871] : (in(ordered_pair(_64862, _64865), cartesian_product2(_64868, _64871)) <=> in(_64862, _64868) & in(_64865, _64871)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t106_zfmisc_1)).
% 1.73/2.45 fof(t16_wellord1, axiom, ! [_65092, _65095, _65098] : (relation(_65098) => (in(_65092, relation_restriction(_65098, _65095)) <=> in(_65092, _65098) & in(_65092, cartesian_product2(_65095, _65095)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t16_wellord1)).
% 1.73/2.45 fof(t19_wellord1, axiom, ! [_65330, _65333, _65336] : (relation(_65336) => in(_65330, relation_field(relation_restriction(_65336, _65333))) => in(_65330, relation_field(_65336)) & in(_65330, _65333)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t19_wellord1)).
% 1.73/2.45
% 1.73/2.45 cnf(1, plain, [-(relation(10 ^ []))], clausify(t23_wellord1)).
% 1.73/2.45 cnf(2, plain, [-(connected(10 ^ []))], clausify(t23_wellord1)).
% 1.73/2.45 cnf(3, plain, [connected(relation_restriction(10 ^ [], 9 ^ []))], clausify(t23_wellord1)).
% 1.73/2.45 cnf(4, plain, [relation(_28634), -(relation(relation_restriction(_28634, _28680)))], clausify(dt_k2_wellord1)).
% 1.73/2.45 cnf(5, plain, [relation(_31568), -(connected(_31568)), -(in(2 ^ [_31568], relation_field(_31568)))], clausify(l4_wellord1)).
% 1.73/2.45 cnf(6, plain, [relation(_31568), -(connected(_31568)), -(in(3 ^ [_31568], relation_field(_31568)))], clausify(l4_wellord1)).
% 1.73/2.45 cnf(7, plain, [relation(_31568), -(connected(_31568)), 2 ^ [_31568] = 3 ^ [_31568]], clausify(l4_wellord1)).
% 1.73/2.45 cnf(8, plain, [relation(_31568), -(connected(_31568)), in(ordered_pair(2 ^ [_31568], 3 ^ [_31568]), _31568)], clausify(l4_wellord1)).
% 1.73/2.45 cnf(9, plain, [relation(_31568), -(connected(_31568)), in(ordered_pair(3 ^ [_31568], 2 ^ [_31568]), _31568)], clausify(l4_wellord1)).
% 1.73/2.45 cnf(10, plain, [relation(_31568), connected(_31568), in(_31740, relation_field(_31568)), in(_31825, relation_field(_31568)), -(_31740 = _31825), -(in(ordered_pair(_31740, _31825), _31568)), -(in(ordered_pair(_31825, _31740), _31568))], clausify(l4_wellord1)).
% 1.73/2.45 cnf(11, plain, [-(in(ordered_pair(_33632, _33699), cartesian_product2(_33765, _33830))), in(_33632, _33765), in(_33699, _33830)], clausify(t106_zfmisc_1)).
% 1.73/2.45 cnf(12, plain, [relation(_34410), -(in(_34277, relation_restriction(_34410, _34344))), in(_34277, _34410), in(_34277, cartesian_product2(_34344, _34344))], clausify(t16_wellord1)).
% 1.73/2.45 cnf(13, plain, [relation(_35039), in(_34904, relation_field(relation_restriction(_35039, _34972))), -(in(_34904, relation_field(_35039)))], clausify(t19_wellord1)).
% 1.73/2.45 cnf(14, plain, [relation(_35039), in(_34904, relation_field(relation_restriction(_35039, _34972))), -(in(_34904, _34972))], clausify(t19_wellord1)).
% 1.73/2.45
% 1.73/2.45 cnf('1',plain,[connected(relation_restriction(10 ^ [], 9 ^ []))],start(3)).
% 1.73/2.45 cnf('1.1',plain,[-(connected(relation_restriction(10 ^ [], 9 ^ []))), relation(relation_restriction(10 ^ [], 9 ^ [])), 2 ^ [relation_restriction(10 ^ [], 9 ^ [])] = 3 ^ [relation_restriction(10 ^ [], 9 ^ [])]],extension(7,bind([[_31568], [relation_restriction(10 ^ [], 9 ^ [])]]))).
% 1.73/2.45 cnf('1.1.1',plain,[-(relation(relation_restriction(10 ^ [], 9 ^ []))), relation(10 ^ [])],extension(4,bind([[_28680, _28634], [9 ^ [], 10 ^ []]]))).
% 1.73/2.45 cnf('1.1.1.1',plain,[-(relation(10 ^ []))],extension(1)).
% 1.73/2.45 cnf('1.1.2',plain,[-(2 ^ [relation_restriction(10 ^ [], 9 ^ [])] = 3 ^ [relation_restriction(10 ^ [], 9 ^ [])]), relation(10 ^ []), connected(10 ^ []), in(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(10 ^ [])), in(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(10 ^ [])), -(in(ordered_pair(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 3 ^ [relation_restriction(10 ^ [], 9 ^ [])]), 10 ^ [])), -(in(ordered_pair(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 2 ^ [relation_restriction(10 ^ [], 9 ^ [])]), 10 ^ []))],extension(10,bind([[_31825, _31740, _31568], [3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 10 ^ []]]))).
% 1.73/2.45 cnf('1.1.2.1',plain,[-(relation(10 ^ []))],extension(1)).
% 1.73/2.45 cnf('1.1.2.2',plain,[-(connected(10 ^ []))],extension(2)).
% 1.73/2.45 cnf('1.1.2.3',plain,[-(in(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(10 ^ []))), relation(10 ^ []), in(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(relation_restriction(10 ^ [], 9 ^ [])))],extension(13,bind([[_34904, _35039, _34972], [2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 10 ^ [], 9 ^ []]]))).
% 1.73/2.45 cnf('1.1.2.3.1',plain,[-(relation(10 ^ []))],extension(1)).
% 1.73/2.45 cnf('1.1.2.3.2',plain,[-(in(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(relation_restriction(10 ^ [], 9 ^ [])))), relation(relation_restriction(10 ^ [], 9 ^ [])), -(connected(relation_restriction(10 ^ [], 9 ^ [])))],extension(5,bind([[_31568], [relation_restriction(10 ^ [], 9 ^ [])]]))).
% 1.73/2.45 cnf('1.1.2.3.2.1',plain,[-(relation(relation_restriction(10 ^ [], 9 ^ [])))],lemmata('1.1')).
% 1.73/2.45 cnf('1.1.2.3.2.2',plain,[connected(relation_restriction(10 ^ [], 9 ^ []))],extension(3)).
% 1.73/2.45 cnf('1.1.2.4',plain,[-(in(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(10 ^ []))), relation(10 ^ []), in(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(relation_restriction(10 ^ [], 9 ^ [])))],extension(13,bind([[_34904, _35039, _34972], [3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 10 ^ [], 9 ^ []]]))).
% 1.73/2.45 cnf('1.1.2.4.1',plain,[-(relation(10 ^ []))],extension(1)).
% 1.73/2.45 cnf('1.1.2.4.2',plain,[-(in(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(relation_restriction(10 ^ [], 9 ^ [])))), relation(relation_restriction(10 ^ [], 9 ^ [])), -(connected(relation_restriction(10 ^ [], 9 ^ [])))],extension(6,bind([[_31568], [relation_restriction(10 ^ [], 9 ^ [])]]))).
% 1.73/2.45 cnf('1.1.2.4.2.1',plain,[-(relation(relation_restriction(10 ^ [], 9 ^ [])))],lemmata('1.1')).
% 1.73/2.45 cnf('1.1.2.4.2.2',plain,[connected(relation_restriction(10 ^ [], 9 ^ []))],extension(3)).
% 1.73/2.45 cnf('1.1.2.5',plain,[in(ordered_pair(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 3 ^ [relation_restriction(10 ^ [], 9 ^ [])]), 10 ^ []), relation(10 ^ []), -(in(ordered_pair(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 3 ^ [relation_restriction(10 ^ [], 9 ^ [])]), relation_restriction(10 ^ [], 9 ^ []))), in(ordered_pair(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 3 ^ [relation_restriction(10 ^ [], 9 ^ [])]), cartesian_product2(9 ^ [], 9 ^ []))],extension(12,bind([[_34410, _34277, _34344], [10 ^ [], ordered_pair(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 3 ^ [relation_restriction(10 ^ [], 9 ^ [])]), 9 ^ []]]))).
% 1.73/2.45 cnf('1.1.2.5.1',plain,[-(relation(10 ^ []))],extension(1)).
% 1.73/2.45 cnf('1.1.2.5.2',plain,[in(ordered_pair(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 3 ^ [relation_restriction(10 ^ [], 9 ^ [])]), relation_restriction(10 ^ [], 9 ^ [])), relation(relation_restriction(10 ^ [], 9 ^ [])), -(connected(relation_restriction(10 ^ [], 9 ^ [])))],extension(8,bind([[_31568], [relation_restriction(10 ^ [], 9 ^ [])]]))).
% 1.73/2.45 cnf('1.1.2.5.2.1',plain,[-(relation(relation_restriction(10 ^ [], 9 ^ [])))],lemmata('1.1')).
% 1.73/2.45 cnf('1.1.2.5.2.2',plain,[connected(relation_restriction(10 ^ [], 9 ^ []))],extension(3)).
% 1.73/2.45 cnf('1.1.2.5.3',plain,[-(in(ordered_pair(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 3 ^ [relation_restriction(10 ^ [], 9 ^ [])]), cartesian_product2(9 ^ [], 9 ^ []))), in(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 9 ^ []), in(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 9 ^ [])],extension(11,bind([[_33632, _33765, _33699, _33830], [2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 9 ^ [], 3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 9 ^ []]]))).
% 1.73/2.45 cnf('1.1.2.5.3.1',plain,[-(in(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 9 ^ [])), relation(10 ^ []), in(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(relation_restriction(10 ^ [], 9 ^ [])))],extension(14,bind([[_34904, _35039, _34972], [2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 10 ^ [], 9 ^ []]]))).
% 1.73/2.45 cnf('1.1.2.5.3.1.1',plain,[-(relation(10 ^ []))],extension(1)).
% 1.73/2.45 cnf('1.1.2.5.3.1.2',plain,[-(in(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(relation_restriction(10 ^ [], 9 ^ [])))), relation(relation_restriction(10 ^ [], 9 ^ [])), -(connected(relation_restriction(10 ^ [], 9 ^ [])))],extension(5,bind([[_31568], [relation_restriction(10 ^ [], 9 ^ [])]]))).
% 1.73/2.45 cnf('1.1.2.5.3.1.2.1',plain,[-(relation(relation_restriction(10 ^ [], 9 ^ [])))],lemmata('1.1')).
% 1.73/2.45 cnf('1.1.2.5.3.1.2.2',plain,[connected(relation_restriction(10 ^ [], 9 ^ []))],extension(3)).
% 1.73/2.45 cnf('1.1.2.5.3.2',plain,[-(in(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 9 ^ [])), relation(10 ^ []), in(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(relation_restriction(10 ^ [], 9 ^ [])))],extension(14,bind([[_34904, _35039, _34972], [3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 10 ^ [], 9 ^ []]]))).
% 1.73/2.45 cnf('1.1.2.5.3.2.1',plain,[-(relation(10 ^ []))],extension(1)).
% 1.73/2.45 cnf('1.1.2.5.3.2.2',plain,[-(in(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(relation_restriction(10 ^ [], 9 ^ [])))), relation(relation_restriction(10 ^ [], 9 ^ [])), -(connected(relation_restriction(10 ^ [], 9 ^ [])))],extension(6,bind([[_31568], [relation_restriction(10 ^ [], 9 ^ [])]]))).
% 1.73/2.45 cnf('1.1.2.5.3.2.2.1',plain,[-(relation(relation_restriction(10 ^ [], 9 ^ [])))],lemmata('1.1')).
% 1.73/2.45 cnf('1.1.2.5.3.2.2.2',plain,[connected(relation_restriction(10 ^ [], 9 ^ []))],extension(3)).
% 1.73/2.45 cnf('1.1.2.6',plain,[in(ordered_pair(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 2 ^ [relation_restriction(10 ^ [], 9 ^ [])]), 10 ^ []), relation(10 ^ []), -(in(ordered_pair(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 2 ^ [relation_restriction(10 ^ [], 9 ^ [])]), relation_restriction(10 ^ [], 9 ^ []))), in(ordered_pair(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 2 ^ [relation_restriction(10 ^ [], 9 ^ [])]), cartesian_product2(9 ^ [], 9 ^ []))],extension(12,bind([[_34410, _34277, _34344], [10 ^ [], ordered_pair(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 2 ^ [relation_restriction(10 ^ [], 9 ^ [])]), 9 ^ []]]))).
% 1.73/2.45 cnf('1.1.2.6.1',plain,[-(relation(10 ^ []))],extension(1)).
% 1.73/2.45 cnf('1.1.2.6.2',plain,[in(ordered_pair(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 2 ^ [relation_restriction(10 ^ [], 9 ^ [])]), relation_restriction(10 ^ [], 9 ^ [])), relation(relation_restriction(10 ^ [], 9 ^ [])), -(connected(relation_restriction(10 ^ [], 9 ^ [])))],extension(9,bind([[_31568], [relation_restriction(10 ^ [], 9 ^ [])]]))).
% 1.73/2.45 cnf('1.1.2.6.2.1',plain,[-(relation(relation_restriction(10 ^ [], 9 ^ [])))],lemmata('1.1')).
% 1.73/2.45 cnf('1.1.2.6.2.2',plain,[connected(relation_restriction(10 ^ [], 9 ^ []))],extension(3)).
% 1.73/2.45 cnf('1.1.2.6.3',plain,[-(in(ordered_pair(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 2 ^ [relation_restriction(10 ^ [], 9 ^ [])]), cartesian_product2(9 ^ [], 9 ^ []))), in(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 9 ^ []), in(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 9 ^ [])],extension(11,bind([[_33632, _33765, _33699, _33830], [3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 9 ^ [], 2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 9 ^ []]]))).
% 1.73/2.45 cnf('1.1.2.6.3.1',plain,[-(in(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 9 ^ [])), relation(10 ^ []), in(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(relation_restriction(10 ^ [], 9 ^ [])))],extension(14,bind([[_34904, _35039, _34972], [3 ^ [relation_restriction(10 ^ [], 9 ^ [])], 10 ^ [], 9 ^ []]]))).
% 1.73/2.45 cnf('1.1.2.6.3.1.1',plain,[-(relation(10 ^ []))],extension(1)).
% 1.73/2.45 cnf('1.1.2.6.3.1.2',plain,[-(in(3 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(relation_restriction(10 ^ [], 9 ^ [])))), relation(relation_restriction(10 ^ [], 9 ^ [])), -(connected(relation_restriction(10 ^ [], 9 ^ [])))],extension(6,bind([[_31568], [relation_restriction(10 ^ [], 9 ^ [])]]))).
% 1.73/2.45 cnf('1.1.2.6.3.1.2.1',plain,[-(relation(relation_restriction(10 ^ [], 9 ^ [])))],lemmata('1.1')).
% 1.73/2.45 cnf('1.1.2.6.3.1.2.2',plain,[connected(relation_restriction(10 ^ [], 9 ^ []))],extension(3)).
% 1.73/2.45 cnf('1.1.2.6.3.2',plain,[-(in(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 9 ^ [])), relation(10 ^ []), in(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(relation_restriction(10 ^ [], 9 ^ [])))],extension(14,bind([[_34904, _35039, _34972], [2 ^ [relation_restriction(10 ^ [], 9 ^ [])], 10 ^ [], 9 ^ []]]))).
% 1.73/2.45 cnf('1.1.2.6.3.2.1',plain,[-(relation(10 ^ []))],extension(1)).
% 1.73/2.45 cnf('1.1.2.6.3.2.2',plain,[-(in(2 ^ [relation_restriction(10 ^ [], 9 ^ [])], relation_field(relation_restriction(10 ^ [], 9 ^ [])))), relation(relation_restriction(10 ^ [], 9 ^ [])), -(connected(relation_restriction(10 ^ [], 9 ^ [])))],extension(5,bind([[_31568], [relation_restriction(10 ^ [], 9 ^ [])]]))).
% 1.73/2.45 cnf('1.1.2.6.3.2.2.1',plain,[-(relation(relation_restriction(10 ^ [], 9 ^ [])))],lemmata('1.1')).
% 1.73/2.45 cnf('1.1.2.6.3.2.2.2',plain,[connected(relation_restriction(10 ^ [], 9 ^ []))],extension(3)).
% 1.73/2.45 %-----------------------------------------------------
% 1.73/2.45
% 1.73/2.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------