TSTP Solution File: SEU240+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU240+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 12:01:21 EDT 2022
% Result : Theorem 0.32s 1.40s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n012.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 01:14:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41 fof(l2_wellord1, conjecture, ! [_53436] : (relation(_53436) => (transitive(_53436) <=> ! [_53458, _53461, _53464] : (in(ordered_pair(_53458, _53461), _53436) & in(ordered_pair(_53461, _53464), _53436) => in(ordered_pair(_53458, _53464), _53436)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l2_wellord1)).
% 0.32/1.41 fof(d16_relat_2, axiom, ! [_53841] : (relation(_53841) => (transitive(_53841) <=> is_transitive_in(_53841, relation_field(_53841)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d16_relat_2)).
% 0.32/1.41 fof(d8_relat_2, axiom, ! [_54016] : (relation(_54016) => ! [_54031] : (is_transitive_in(_54016, _54031) <=> ! [_54049, _54052, _54055] : (in(_54049, _54031) & in(_54052, _54031) & in(_54055, _54031) & in(ordered_pair(_54049, _54052), _54016) & in(ordered_pair(_54052, _54055), _54016) => in(ordered_pair(_54049, _54055), _54016)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_relat_2)).
% 0.32/1.41 fof(t30_relat_1, axiom, ! [_54497, _54500, _54503] : (relation(_54503) => in(ordered_pair(_54497, _54500), _54503) => in(_54497, relation_field(_54503)) & in(_54500, relation_field(_54503))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t30_relat_1)).
% 0.32/1.41
% 0.32/1.41 cnf(1, plain, [-(15 ^ []), -(in(ordered_pair(_38791, _38801), 10 ^ [])), in(ordered_pair(_38791, _38796), 10 ^ []), in(ordered_pair(_38796, _38801), 10 ^ [])], clausify(l2_wellord1)).
% 0.32/1.41 cnf(2, plain, [-(15 ^ []), transitive(10 ^ [])], clausify(l2_wellord1)).
% 0.32/1.41 cnf(3, plain, [-(14 ^ []), in(ordered_pair(11 ^ [], 13 ^ []), 10 ^ [])], clausify(l2_wellord1)).
% 0.32/1.41 cnf(4, plain, [-(14 ^ []), -(in(ordered_pair(12 ^ [], 13 ^ []), 10 ^ []))], clausify(l2_wellord1)).
% 0.32/1.41 cnf(5, plain, [-(14 ^ []), -(in(ordered_pair(11 ^ [], 12 ^ []), 10 ^ []))], clausify(l2_wellord1)).
% 0.32/1.41 cnf(6, plain, [-(14 ^ []), -(transitive(10 ^ []))], clausify(l2_wellord1)).
% 0.32/1.41 cnf(7, plain, [-(relation(10 ^ []))], clausify(l2_wellord1)).
% 0.32/1.41 cnf(8, plain, [14 ^ [], 15 ^ []], clausify(l2_wellord1)).
% 0.32/1.41 cnf(9, plain, [relation(_22984), transitive(_22984), -(is_transitive_in(_22984, relation_field(_22984)))], clausify(d16_relat_2)).
% 0.32/1.41 cnf(10, plain, [relation(_22984), -(transitive(_22984)), is_transitive_in(_22984, relation_field(_22984))], clausify(d16_relat_2)).
% 0.32/1.41 cnf(11, plain, [relation(_23991), -(is_transitive_in(_23991, _24133)), -(in(ordered_pair(1 ^ [_24133, _23991], 2 ^ [_24133, _23991]), _23991))], clausify(d8_relat_2)).
% 0.32/1.41 cnf(12, plain, [relation(_23991), -(is_transitive_in(_23991, _24133)), -(in(ordered_pair(2 ^ [_24133, _23991], 3 ^ [_24133, _23991]), _23991))], clausify(d8_relat_2)).
% 0.32/1.41 cnf(13, plain, [relation(_23991), -(is_transitive_in(_23991, _24133)), in(ordered_pair(1 ^ [_24133, _23991], 3 ^ [_24133, _23991]), _23991)], clausify(d8_relat_2)).
% 0.32/1.41 cnf(14, plain, [relation(_23991), is_transitive_in(_23991, _24133), -(in(ordered_pair(_24290, _24471), _23991)), in(_24290, _24133), in(_24381, _24133), in(_24471, _24133), in(ordered_pair(_24290, _24381), _23991), in(ordered_pair(_24381, _24471), _23991)], clausify(d8_relat_2)).
% 0.32/1.41 cnf(15, plain, [relation(_30103), in(ordered_pair(_29968, _30036), _30103), -(in(_29968, relation_field(_30103)))], clausify(t30_relat_1)).
% 0.32/1.41 cnf(16, plain, [relation(_30103), in(ordered_pair(_29968, _30036), _30103), -(in(_30036, relation_field(_30103)))], clausify(t30_relat_1)).
% 0.32/1.41
% 0.32/1.41 cnf('1',plain,[14 ^ [], 15 ^ []],start(8)).
% 0.32/1.41 cnf('1.1',plain,[-(14 ^ []), in(ordered_pair(11 ^ [], 13 ^ []), 10 ^ [])],extension(3)).
% 0.32/1.41 cnf('1.1.1',plain,[-(in(ordered_pair(11 ^ [], 13 ^ []), 10 ^ [])), relation(10 ^ []), is_transitive_in(10 ^ [], relation_field(10 ^ [])), in(11 ^ [], relation_field(10 ^ [])), in(12 ^ [], relation_field(10 ^ [])), in(13 ^ [], relation_field(10 ^ [])), in(ordered_pair(11 ^ [], 12 ^ []), 10 ^ []), in(ordered_pair(12 ^ [], 13 ^ []), 10 ^ [])],extension(14,bind([[_24133, _24290, _24381, _24471, _23991], [relation_field(10 ^ []), 11 ^ [], 12 ^ [], 13 ^ [], 10 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.1',plain,[-(relation(10 ^ []))],extension(7)).
% 0.32/1.41 cnf('1.1.1.2',plain,[-(is_transitive_in(10 ^ [], relation_field(10 ^ []))), relation(10 ^ []), transitive(10 ^ [])],extension(9,bind([[_22984], [10 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.2.1',plain,[-(relation(10 ^ []))],extension(7)).
% 0.32/1.41 cnf('1.1.1.2.2',plain,[-(transitive(10 ^ [])), -(14 ^ [])],extension(6)).
% 0.32/1.41 cnf('1.1.1.2.2.1',plain,[14 ^ []],reduction('1')).
% 0.32/1.41 cnf('1.1.1.3',plain,[-(in(11 ^ [], relation_field(10 ^ []))), relation(10 ^ []), in(ordered_pair(11 ^ [], 12 ^ []), 10 ^ [])],extension(15,bind([[_29968, _30036, _30103], [11 ^ [], 12 ^ [], 10 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.3.1',plain,[-(relation(10 ^ []))],extension(7)).
% 0.32/1.41 cnf('1.1.1.3.2',plain,[-(in(ordered_pair(11 ^ [], 12 ^ []), 10 ^ [])), -(14 ^ [])],extension(5)).
% 0.32/1.41 cnf('1.1.1.3.2.1',plain,[14 ^ []],reduction('1')).
% 0.32/1.41 cnf('1.1.1.4',plain,[-(in(12 ^ [], relation_field(10 ^ []))), relation(10 ^ []), in(ordered_pair(12 ^ [], 13 ^ []), 10 ^ [])],extension(15,bind([[_29968, _30036, _30103], [12 ^ [], 13 ^ [], 10 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.4.1',plain,[-(relation(10 ^ []))],extension(7)).
% 0.32/1.41 cnf('1.1.1.4.2',plain,[-(in(ordered_pair(12 ^ [], 13 ^ []), 10 ^ [])), -(14 ^ [])],extension(4)).
% 0.32/1.41 cnf('1.1.1.4.2.1',plain,[14 ^ []],reduction('1')).
% 0.32/1.41 cnf('1.1.1.5',plain,[-(in(13 ^ [], relation_field(10 ^ []))), relation(10 ^ []), in(ordered_pair(12 ^ [], 13 ^ []), 10 ^ [])],extension(16,bind([[_29968, _30036, _30103], [12 ^ [], 13 ^ [], 10 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.5.1',plain,[-(relation(10 ^ []))],extension(7)).
% 0.32/1.41 cnf('1.1.1.5.2',plain,[-(in(ordered_pair(12 ^ [], 13 ^ []), 10 ^ [])), -(14 ^ [])],extension(4)).
% 0.32/1.41 cnf('1.1.1.5.2.1',plain,[14 ^ []],reduction('1')).
% 0.32/1.41 cnf('1.1.1.6',plain,[-(in(ordered_pair(11 ^ [], 12 ^ []), 10 ^ [])), -(14 ^ [])],extension(5)).
% 0.32/1.41 cnf('1.1.1.6.1',plain,[14 ^ []],reduction('1')).
% 0.32/1.41 cnf('1.1.1.7',plain,[-(in(ordered_pair(12 ^ [], 13 ^ []), 10 ^ [])), -(14 ^ [])],extension(4)).
% 0.32/1.41 cnf('1.1.1.7.1',plain,[14 ^ []],reduction('1')).
% 0.32/1.41 cnf('1.2',plain,[-(15 ^ []), -(in(ordered_pair(1 ^ [relation_field(10 ^ []), 10 ^ []], 3 ^ [relation_field(10 ^ []), 10 ^ []]), 10 ^ [])), in(ordered_pair(1 ^ [relation_field(10 ^ []), 10 ^ []], 2 ^ [relation_field(10 ^ []), 10 ^ []]), 10 ^ []), in(ordered_pair(2 ^ [relation_field(10 ^ []), 10 ^ []], 3 ^ [relation_field(10 ^ []), 10 ^ []]), 10 ^ [])],extension(1,bind([[_38791, _38796, _38801], [1 ^ [relation_field(10 ^ []), 10 ^ []], 2 ^ [relation_field(10 ^ []), 10 ^ []], 3 ^ [relation_field(10 ^ []), 10 ^ []]]]))).
% 0.32/1.41 cnf('1.2.1',plain,[in(ordered_pair(1 ^ [relation_field(10 ^ []), 10 ^ []], 3 ^ [relation_field(10 ^ []), 10 ^ []]), 10 ^ []), relation(10 ^ []), -(is_transitive_in(10 ^ [], relation_field(10 ^ [])))],extension(13,bind([[_23991, _24133], [10 ^ [], relation_field(10 ^ [])]]))).
% 0.32/1.41 cnf('1.2.1.1',plain,[-(relation(10 ^ []))],extension(7)).
% 0.32/1.41 cnf('1.2.1.2',plain,[is_transitive_in(10 ^ [], relation_field(10 ^ [])), relation(10 ^ []), -(transitive(10 ^ []))],extension(10,bind([[_22984], [10 ^ []]]))).
% 0.32/1.41 cnf('1.2.1.2.1',plain,[-(relation(10 ^ []))],extension(7)).
% 0.32/1.41 cnf('1.2.1.2.2',plain,[transitive(10 ^ []), -(15 ^ [])],extension(2)).
% 0.32/1.41 cnf('1.2.1.2.2.1',plain,[15 ^ []],reduction('1')).
% 0.32/1.41 cnf('1.2.2',plain,[-(in(ordered_pair(1 ^ [relation_field(10 ^ []), 10 ^ []], 2 ^ [relation_field(10 ^ []), 10 ^ []]), 10 ^ [])), relation(10 ^ []), -(is_transitive_in(10 ^ [], relation_field(10 ^ [])))],extension(11,bind([[_23991, _24133], [10 ^ [], relation_field(10 ^ [])]]))).
% 0.32/1.41 cnf('1.2.2.1',plain,[-(relation(10 ^ []))],extension(7)).
% 0.32/1.41 cnf('1.2.2.2',plain,[is_transitive_in(10 ^ [], relation_field(10 ^ [])), relation(10 ^ []), -(transitive(10 ^ []))],extension(10,bind([[_22984], [10 ^ []]]))).
% 0.32/1.41 cnf('1.2.2.2.1',plain,[-(relation(10 ^ []))],extension(7)).
% 0.32/1.41 cnf('1.2.2.2.2',plain,[transitive(10 ^ []), -(15 ^ [])],extension(2)).
% 0.32/1.41 cnf('1.2.2.2.2.1',plain,[15 ^ []],reduction('1')).
% 0.32/1.41 cnf('1.2.3',plain,[-(in(ordered_pair(2 ^ [relation_field(10 ^ []), 10 ^ []], 3 ^ [relation_field(10 ^ []), 10 ^ []]), 10 ^ [])), relation(10 ^ []), -(is_transitive_in(10 ^ [], relation_field(10 ^ [])))],extension(12,bind([[_23991, _24133], [10 ^ [], relation_field(10 ^ [])]]))).
% 0.32/1.41 cnf('1.2.3.1',plain,[-(relation(10 ^ []))],extension(7)).
% 0.32/1.41 cnf('1.2.3.2',plain,[is_transitive_in(10 ^ [], relation_field(10 ^ [])), relation(10 ^ []), -(transitive(10 ^ []))],extension(10,bind([[_22984], [10 ^ []]]))).
% 0.32/1.41 cnf('1.2.3.2.1',plain,[-(relation(10 ^ []))],extension(7)).
% 0.32/1.41 cnf('1.2.3.2.2',plain,[transitive(10 ^ []), -(15 ^ [])],extension(2)).
% 0.32/1.41 cnf('1.2.3.2.2.1',plain,[15 ^ []],reduction('1')).
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.42
% 0.32/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------