TSTP Solution File: SEU212+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU212+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 12:01:03 EDT 2022
% Result : Theorem 0.33s 1.41s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU212+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n003.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 : Sun Jun 19 15:31:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.33/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.42
% 0.33/1.42 %-----------------------------------------------------
% 0.33/1.42 fof(t8_funct_1, conjecture, ! [_47775, _47778, _47781] : (relation(_47781) & function(_47781) => (in(ordered_pair(_47775, _47778), _47781) <=> in(_47775, relation_dom(_47781)) & _47778 = apply(_47781, _47775))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_funct_1)).
% 0.33/1.42 fof(d4_funct_1, axiom, ! [_48147] : (relation(_48147) & function(_48147) => ! [_48169, _48172] : ((in(_48169, relation_dom(_48147)) => (_48172 = apply(_48147, _48169) <=> in(ordered_pair(_48169, _48172), _48147))) & (~ in(_48169, relation_dom(_48147)) => (_48172 = apply(_48147, _48169) <=> _48172 = empty_set)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_funct_1)).
% 0.33/1.42 fof(d4_relat_1, axiom, ! [_48553] : (relation(_48553) => ! [_48568] : (_48568 = relation_dom(_48553) <=> ! [_48586] : (in(_48586, _48568) <=> ? [_48604] : in(ordered_pair(_48586, _48604), _48553)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_relat_1)).
% 0.33/1.42
% 0.33/1.42 cnf(1, plain, [-(17 ^ []), in(ordered_pair(13 ^ [], 14 ^ []), 15 ^ [])], clausify(t8_funct_1)).
% 0.33/1.42 cnf(2, plain, [-(17 ^ []), -(14 ^ [] = apply(15 ^ [], 13 ^ []))], clausify(t8_funct_1)).
% 0.33/1.42 cnf(3, plain, [-(17 ^ []), -(in(13 ^ [], relation_dom(15 ^ [])))], clausify(t8_funct_1)).
% 0.33/1.42 cnf(4, plain, [-(16 ^ []), in(13 ^ [], relation_dom(15 ^ [])), 14 ^ [] = apply(15 ^ [], 13 ^ [])], clausify(t8_funct_1)).
% 0.33/1.42 cnf(5, plain, [-(16 ^ []), -(in(ordered_pair(13 ^ [], 14 ^ []), 15 ^ []))], clausify(t8_funct_1)).
% 0.33/1.42 cnf(6, plain, [-(relation(15 ^ []))], clausify(t8_funct_1)).
% 0.33/1.42 cnf(7, plain, [-(function(15 ^ []))], clausify(t8_funct_1)).
% 0.33/1.42 cnf(8, plain, [17 ^ [], 16 ^ []], clausify(t8_funct_1)).
% 0.33/1.42 cnf(9, plain, [-(_14286 = _14286)], theory(equality)).
% 0.33/1.42 cnf(10, plain, [function(_22497), relation(_22497), in(_22687, relation_dom(_22497)), _22775 = apply(_22497, _22687), -(in(ordered_pair(_22687, _22775), _22497))], clausify(d4_funct_1)).
% 0.33/1.42 cnf(11, plain, [function(_22497), relation(_22497), in(_22687, relation_dom(_22497)), -(_22775 = apply(_22497, _22687)), in(ordered_pair(_22687, _22775), _22497)], clausify(d4_funct_1)).
% 0.33/1.42 cnf(12, plain, [relation(_23560), _23669 = relation_dom(_23560), -(in(_23809, _23669)), in(ordered_pair(_23809, _23925), _23560)], clausify(d4_relat_1)).
% 0.33/1.42
% 0.33/1.42 cnf('1',plain,[17 ^ [], 16 ^ []],start(8)).
% 0.33/1.42 cnf('1.1',plain,[-(17 ^ []), in(ordered_pair(13 ^ [], 14 ^ []), 15 ^ [])],extension(1)).
% 0.33/1.42 cnf('1.1.1',plain,[-(in(ordered_pair(13 ^ [], 14 ^ []), 15 ^ [])), function(15 ^ []), relation(15 ^ []), in(13 ^ [], relation_dom(15 ^ [])), 14 ^ [] = apply(15 ^ [], 13 ^ [])],extension(10,bind([[_22775, _22497, _22687], [14 ^ [], 15 ^ [], 13 ^ []]]))).
% 0.33/1.42 cnf('1.1.1.1',plain,[-(function(15 ^ []))],extension(7)).
% 0.33/1.42 cnf('1.1.1.2',plain,[-(relation(15 ^ []))],extension(6)).
% 0.33/1.42 cnf('1.1.1.3',plain,[-(in(13 ^ [], relation_dom(15 ^ []))), -(17 ^ [])],extension(3)).
% 0.33/1.42 cnf('1.1.1.3.1',plain,[17 ^ []],reduction('1')).
% 0.33/1.42 cnf('1.1.1.4',plain,[-(14 ^ [] = apply(15 ^ [], 13 ^ [])), -(17 ^ [])],extension(2)).
% 0.33/1.42 cnf('1.1.1.4.1',plain,[17 ^ []],reduction('1')).
% 0.33/1.42 cnf('1.2',plain,[-(16 ^ []), in(13 ^ [], relation_dom(15 ^ [])), 14 ^ [] = apply(15 ^ [], 13 ^ [])],extension(4)).
% 0.33/1.42 cnf('1.2.1',plain,[-(in(13 ^ [], relation_dom(15 ^ []))), relation(15 ^ []), relation_dom(15 ^ []) = relation_dom(15 ^ []), in(ordered_pair(13 ^ [], 14 ^ []), 15 ^ [])],extension(12,bind([[_23669, _23809, _23925, _23560], [relation_dom(15 ^ []), 13 ^ [], 14 ^ [], 15 ^ []]]))).
% 0.33/1.42 cnf('1.2.1.1',plain,[-(relation(15 ^ []))],extension(6)).
% 0.33/1.42 cnf('1.2.1.2',plain,[-(relation_dom(15 ^ []) = relation_dom(15 ^ []))],extension(9,bind([[_14286], [relation_dom(15 ^ [])]]))).
% 0.33/1.42 cnf('1.2.1.3',plain,[-(in(ordered_pair(13 ^ [], 14 ^ []), 15 ^ [])), -(16 ^ [])],extension(5)).
% 0.33/1.42 cnf('1.2.1.3.1',plain,[16 ^ []],reduction('1')).
% 0.33/1.42 cnf('1.2.2',plain,[-(14 ^ [] = apply(15 ^ [], 13 ^ [])), function(15 ^ []), relation(15 ^ []), in(13 ^ [], relation_dom(15 ^ [])), in(ordered_pair(13 ^ [], 14 ^ []), 15 ^ [])],extension(11,bind([[_22687, _22775, _22497], [13 ^ [], 14 ^ [], 15 ^ []]]))).
% 0.33/1.42 cnf('1.2.2.1',plain,[-(function(15 ^ []))],extension(7)).
% 0.33/1.42 cnf('1.2.2.2',plain,[-(relation(15 ^ []))],extension(6)).
% 0.33/1.42 cnf('1.2.2.3',plain,[-(in(13 ^ [], relation_dom(15 ^ [])))],lemmata('1.2')).
% 0.33/1.42 cnf('1.2.2.4',plain,[-(in(ordered_pair(13 ^ [], 14 ^ []), 15 ^ [])), -(16 ^ [])],extension(5)).
% 0.33/1.42 cnf('1.2.2.4.1',plain,[16 ^ []],reduction('1')).
% 0.33/1.42 %-----------------------------------------------------
% 0.42/1.42
% 0.42/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------