TSTP Solution File: SEU212+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU212+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 12:01:02 EDT 2022
% Result : Theorem 0.34s 1.41s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU212+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 18:58:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.34/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.43
% 0.34/1.43 %-----------------------------------------------------
% 0.34/1.43 fof(t8_funct_1, conjecture, ! [_42080, _42083, _42086] : (relation(_42086) & function(_42086) => (in(ordered_pair(_42080, _42083), _42086) <=> in(_42080, relation_dom(_42086)) & _42083 = apply(_42086, _42080))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t8_funct_1)).
% 0.34/1.43 fof(d4_funct_1, axiom, ! [_42450] : (relation(_42450) & function(_42450) => ! [_42472, _42475] : ((in(_42472, relation_dom(_42450)) => (_42475 = apply(_42450, _42472) <=> in(ordered_pair(_42472, _42475), _42450))) & (~ in(_42472, relation_dom(_42450)) => (_42475 = apply(_42450, _42472) <=> _42475 = empty_set)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_funct_1)).
% 0.34/1.43 fof(d4_relat_1, axiom, ! [_42856] : (relation(_42856) => ! [_42871] : (_42871 = relation_dom(_42856) <=> ! [_42889] : (in(_42889, _42871) <=> ? [_42907] : in(ordered_pair(_42889, _42907), _42856)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_relat_1)).
% 0.34/1.43
% 0.34/1.43 cnf(1, plain, [-(15 ^ []), in(ordered_pair(11 ^ [], 12 ^ []), 13 ^ [])], clausify(t8_funct_1)).
% 0.34/1.43 cnf(2, plain, [-(15 ^ []), -(12 ^ [] = apply(13 ^ [], 11 ^ []))], clausify(t8_funct_1)).
% 0.34/1.43 cnf(3, plain, [-(15 ^ []), -(in(11 ^ [], relation_dom(13 ^ [])))], clausify(t8_funct_1)).
% 0.34/1.43 cnf(4, plain, [-(14 ^ []), in(11 ^ [], relation_dom(13 ^ [])), 12 ^ [] = apply(13 ^ [], 11 ^ [])], clausify(t8_funct_1)).
% 0.34/1.43 cnf(5, plain, [-(14 ^ []), -(in(ordered_pair(11 ^ [], 12 ^ []), 13 ^ []))], clausify(t8_funct_1)).
% 0.34/1.43 cnf(6, plain, [-(relation(13 ^ []))], clausify(t8_funct_1)).
% 0.34/1.43 cnf(7, plain, [-(function(13 ^ []))], clausify(t8_funct_1)).
% 0.34/1.43 cnf(8, plain, [15 ^ [], 14 ^ []], clausify(t8_funct_1)).
% 0.34/1.43 cnf(9, plain, [-(_12362 = _12362)], theory(equality)).
% 0.34/1.43 cnf(10, plain, [function(_19590), relation(_19590), in(_19780, relation_dom(_19590)), _19868 = apply(_19590, _19780), -(in(ordered_pair(_19780, _19868), _19590))], clausify(d4_funct_1)).
% 0.34/1.43 cnf(11, plain, [function(_19590), relation(_19590), in(_19780, relation_dom(_19590)), -(_19868 = apply(_19590, _19780)), in(ordered_pair(_19780, _19868), _19590)], clausify(d4_funct_1)).
% 0.34/1.43 cnf(12, plain, [relation(_20653), _20762 = relation_dom(_20653), -(in(_20902, _20762)), in(ordered_pair(_20902, _21018), _20653)], clausify(d4_relat_1)).
% 0.34/1.43
% 0.34/1.43 cnf('1',plain,[15 ^ [], 14 ^ []],start(8)).
% 0.34/1.43 cnf('1.1',plain,[-(15 ^ []), in(ordered_pair(11 ^ [], 12 ^ []), 13 ^ [])],extension(1)).
% 0.34/1.43 cnf('1.1.1',plain,[-(in(ordered_pair(11 ^ [], 12 ^ []), 13 ^ [])), function(13 ^ []), relation(13 ^ []), in(11 ^ [], relation_dom(13 ^ [])), 12 ^ [] = apply(13 ^ [], 11 ^ [])],extension(10,bind([[_19868, _19590, _19780], [12 ^ [], 13 ^ [], 11 ^ []]]))).
% 0.34/1.43 cnf('1.1.1.1',plain,[-(function(13 ^ []))],extension(7)).
% 0.34/1.43 cnf('1.1.1.2',plain,[-(relation(13 ^ []))],extension(6)).
% 0.34/1.43 cnf('1.1.1.3',plain,[-(in(11 ^ [], relation_dom(13 ^ []))), -(15 ^ [])],extension(3)).
% 0.34/1.43 cnf('1.1.1.3.1',plain,[15 ^ []],reduction('1')).
% 0.34/1.43 cnf('1.1.1.4',plain,[-(12 ^ [] = apply(13 ^ [], 11 ^ [])), -(15 ^ [])],extension(2)).
% 0.34/1.43 cnf('1.1.1.4.1',plain,[15 ^ []],reduction('1')).
% 0.34/1.43 cnf('1.2',plain,[-(14 ^ []), in(11 ^ [], relation_dom(13 ^ [])), 12 ^ [] = apply(13 ^ [], 11 ^ [])],extension(4)).
% 0.34/1.43 cnf('1.2.1',plain,[-(in(11 ^ [], relation_dom(13 ^ []))), relation(13 ^ []), relation_dom(13 ^ []) = relation_dom(13 ^ []), in(ordered_pair(11 ^ [], 12 ^ []), 13 ^ [])],extension(12,bind([[_20762, _20902, _21018, _20653], [relation_dom(13 ^ []), 11 ^ [], 12 ^ [], 13 ^ []]]))).
% 0.34/1.43 cnf('1.2.1.1',plain,[-(relation(13 ^ []))],extension(6)).
% 0.34/1.43 cnf('1.2.1.2',plain,[-(relation_dom(13 ^ []) = relation_dom(13 ^ []))],extension(9,bind([[_12362], [relation_dom(13 ^ [])]]))).
% 0.34/1.43 cnf('1.2.1.3',plain,[-(in(ordered_pair(11 ^ [], 12 ^ []), 13 ^ [])), -(14 ^ [])],extension(5)).
% 0.34/1.43 cnf('1.2.1.3.1',plain,[14 ^ []],reduction('1')).
% 0.34/1.43 cnf('1.2.2',plain,[-(12 ^ [] = apply(13 ^ [], 11 ^ [])), function(13 ^ []), relation(13 ^ []), in(11 ^ [], relation_dom(13 ^ [])), in(ordered_pair(11 ^ [], 12 ^ []), 13 ^ [])],extension(11,bind([[_19780, _19868, _19590], [11 ^ [], 12 ^ [], 13 ^ []]]))).
% 0.34/1.43 cnf('1.2.2.1',plain,[-(function(13 ^ []))],extension(7)).
% 0.34/1.43 cnf('1.2.2.2',plain,[-(relation(13 ^ []))],extension(6)).
% 0.34/1.43 cnf('1.2.2.3',plain,[-(in(11 ^ [], relation_dom(13 ^ [])))],lemmata('1.2')).
% 0.34/1.43 cnf('1.2.2.4',plain,[-(in(ordered_pair(11 ^ [], 12 ^ []), 13 ^ [])), -(14 ^ [])],extension(5)).
% 0.34/1.43 cnf('1.2.2.4.1',plain,[14 ^ []],reduction('1')).
% 0.34/1.43 %-----------------------------------------------------
% 0.34/1.43
% 0.34/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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