TSTP Solution File: SEU215+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU215+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 12:01:04 EDT 2022
% Result : Theorem 0.35s 1.41s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU215+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n007.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 07:26:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42 fof(t23_funct_1, conjecture, ! [_54894, _54897] : (relation(_54897) & function(_54897) => ! [_54919] : (relation(_54919) & function(_54919) => in(_54894, relation_dom(_54897)) => apply(relation_composition(_54897, _54919), _54894) = apply(_54919, apply(_54897, _54894)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t23_funct_1)).
% 0.35/1.42 fof(d4_funct_1, axiom, ! [_55322] : (relation(_55322) & function(_55322) => ! [_55344, _55347] : ((in(_55344, relation_dom(_55322)) => (_55347 = apply(_55322, _55344) <=> in(ordered_pair(_55344, _55347), _55322))) & (~ in(_55344, relation_dom(_55322)) => (_55347 = apply(_55322, _55344) <=> _55347 = empty_set)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_funct_1)).
% 0.35/1.42 fof(dt_k5_relat_1, axiom, ! [_55714, _55717] : (relation(_55714) & relation(_55717) => relation(relation_composition(_55714, _55717))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_relat_1)).
% 0.35/1.42 fof(fc1_funct_1, axiom, ! [_55890, _55893] : (relation(_55890) & function(_55890) & relation(_55893) & function(_55893) => relation(relation_composition(_55890, _55893)) & function(relation_composition(_55890, _55893))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_funct_1)).
% 0.35/1.42 fof(t21_funct_1, axiom, ! [_56161, _56164] : (relation(_56164) & function(_56164) => ! [_56186] : (relation(_56186) & function(_56186) => (in(_56161, relation_dom(relation_composition(_56186, _56164))) <=> in(_56161, relation_dom(_56186)) & in(apply(_56186, _56161), relation_dom(_56164))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_funct_1)).
% 0.35/1.42 fof(t22_funct_1, axiom, ! [_56520, _56523] : (relation(_56523) & function(_56523) => ! [_56545] : (relation(_56545) & function(_56545) => in(_56520, relation_dom(relation_composition(_56545, _56523))) => apply(relation_composition(_56545, _56523), _56520) = apply(_56523, apply(_56545, _56520)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t22_funct_1)).
% 0.35/1.42
% 0.35/1.42 cnf(1, plain, [-(relation(9 ^ []))], clausify(t23_funct_1)).
% 0.35/1.42 cnf(2, plain, [-(function(9 ^ []))], clausify(t23_funct_1)).
% 0.35/1.42 cnf(3, plain, [-(relation(10 ^ []))], clausify(t23_funct_1)).
% 0.35/1.42 cnf(4, plain, [-(function(10 ^ []))], clausify(t23_funct_1)).
% 0.35/1.42 cnf(5, plain, [-(in(8 ^ [], relation_dom(9 ^ [])))], clausify(t23_funct_1)).
% 0.35/1.42 cnf(6, plain, [apply(relation_composition(9 ^ [], 10 ^ []), 8 ^ []) = apply(10 ^ [], apply(9 ^ [], 8 ^ []))], clausify(t23_funct_1)).
% 0.35/1.42 cnf(7, plain, [-(_15734 = _15734)], theory(equality)).
% 0.35/1.42 cnf(8, plain, [_15887 = _15932, -(_15932 = _15887)], theory(equality)).
% 0.35/1.42 cnf(9, plain, [function(_23601), relation(_23601), -(in(_23791, relation_dom(_23601))), -(_23879 = apply(_23601, _23791)), _23879 = empty_set], clausify(d4_funct_1)).
% 0.35/1.42 cnf(10, plain, [-(relation(relation_composition(_25835, _25886))), relation(_25835), relation(_25886)], clausify(dt_k5_relat_1)).
% 0.35/1.42 cnf(11, plain, [-(function(relation_composition(_27257, _27326))), relation(_27257), function(_27257), relation(_27326), function(_27326)], clausify(fc1_funct_1)).
% 0.35/1.42 cnf(12, plain, [function(_31538), relation(_31538), function(_31716), relation(_31716), in(_31450, relation_dom(relation_composition(_31716, _31538))), -(in(apply(_31716, _31450), relation_dom(_31538)))], clausify(t21_funct_1)).
% 0.35/1.42 cnf(13, plain, [function(_31538), relation(_31538), function(_31716), relation(_31716), -(in(_31450, relation_dom(relation_composition(_31716, _31538)))), in(_31450, relation_dom(_31716)), in(apply(_31716, _31450), relation_dom(_31538))], clausify(t21_funct_1)).
% 0.35/1.42 cnf(14, plain, [function(_32424), relation(_32424), function(_32601), relation(_32601), in(_32337, relation_dom(relation_composition(_32601, _32424))), -(apply(relation_composition(_32601, _32424), _32337) = apply(_32424, apply(_32601, _32337)))], clausify(t22_funct_1)).
% 0.35/1.42
% 0.35/1.42 cnf('1',plain,[apply(relation_composition(9 ^ [], 10 ^ []), 8 ^ []) = apply(10 ^ [], apply(9 ^ [], 8 ^ []))],start(6)).
% 0.35/1.42 cnf('1.1',plain,[-(apply(relation_composition(9 ^ [], 10 ^ []), 8 ^ []) = apply(10 ^ [], apply(9 ^ [], 8 ^ []))), function(10 ^ []), relation(10 ^ []), -(in(apply(9 ^ [], 8 ^ []), relation_dom(10 ^ []))), apply(relation_composition(9 ^ [], 10 ^ []), 8 ^ []) = empty_set],extension(9,bind([[_23791, _23601, _23879], [apply(9 ^ [], 8 ^ []), 10 ^ [], apply(relation_composition(9 ^ [], 10 ^ []), 8 ^ [])]]))).
% 0.35/1.42 cnf('1.1.1',plain,[-(function(10 ^ []))],extension(4)).
% 0.35/1.42 cnf('1.1.2',plain,[-(relation(10 ^ []))],extension(3)).
% 0.35/1.42 cnf('1.1.3',plain,[in(apply(9 ^ [], 8 ^ []), relation_dom(10 ^ [])), function(10 ^ []), relation(10 ^ []), function(9 ^ []), relation(9 ^ []), -(in(8 ^ [], relation_dom(relation_composition(9 ^ [], 10 ^ [])))), in(8 ^ [], relation_dom(9 ^ []))],extension(13,bind([[_31538, _31450, _31716], [10 ^ [], 8 ^ [], 9 ^ []]]))).
% 0.35/1.42 cnf('1.1.3.1',plain,[-(function(10 ^ []))],extension(4)).
% 0.35/1.42 cnf('1.1.3.2',plain,[-(relation(10 ^ []))],extension(3)).
% 0.35/1.42 cnf('1.1.3.3',plain,[-(function(9 ^ []))],extension(2)).
% 0.35/1.42 cnf('1.1.3.4',plain,[-(relation(9 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.3.5',plain,[in(8 ^ [], relation_dom(relation_composition(9 ^ [], 10 ^ []))), function(10 ^ []), relation(10 ^ []), function(9 ^ []), relation(9 ^ []), -(apply(relation_composition(9 ^ [], 10 ^ []), 8 ^ []) = apply(10 ^ [], apply(9 ^ [], 8 ^ [])))],extension(14,bind([[_32424, _32601, _32337], [10 ^ [], 9 ^ [], 8 ^ []]]))).
% 0.35/1.42 cnf('1.1.3.5.1',plain,[-(function(10 ^ []))],extension(4)).
% 0.35/1.42 cnf('1.1.3.5.2',plain,[-(relation(10 ^ []))],extension(3)).
% 0.35/1.42 cnf('1.1.3.5.3',plain,[-(function(9 ^ []))],extension(2)).
% 0.35/1.42 cnf('1.1.3.5.4',plain,[-(relation(9 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.3.5.5',plain,[apply(relation_composition(9 ^ [], 10 ^ []), 8 ^ []) = apply(10 ^ [], apply(9 ^ [], 8 ^ []))],extension(6)).
% 0.35/1.42 cnf('1.1.3.6',plain,[-(in(8 ^ [], relation_dom(9 ^ [])))],extension(5)).
% 0.35/1.42 cnf('1.1.4',plain,[-(apply(relation_composition(9 ^ [], 10 ^ []), 8 ^ []) = empty_set), empty_set = apply(relation_composition(9 ^ [], 10 ^ []), 8 ^ [])],extension(8,bind([[_15887, _15932], [empty_set, apply(relation_composition(9 ^ [], 10 ^ []), 8 ^ [])]]))).
% 0.35/1.42 cnf('1.1.4.1',plain,[-(empty_set = apply(relation_composition(9 ^ [], 10 ^ []), 8 ^ [])), function(relation_composition(9 ^ [], 10 ^ [])), relation(relation_composition(9 ^ [], 10 ^ [])), -(in(8 ^ [], relation_dom(relation_composition(9 ^ [], 10 ^ [])))), empty_set = empty_set],extension(9,bind([[_23791, _23601, _23879], [8 ^ [], relation_composition(9 ^ [], 10 ^ []), empty_set]]))).
% 0.35/1.42 cnf('1.1.4.1.1',plain,[-(function(relation_composition(9 ^ [], 10 ^ []))), relation(9 ^ []), function(9 ^ []), relation(10 ^ []), function(10 ^ [])],extension(11,bind([[_27257, _27326], [9 ^ [], 10 ^ []]]))).
% 0.35/1.42 cnf('1.1.4.1.1.1',plain,[-(relation(9 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.4.1.1.2',plain,[-(function(9 ^ []))],extension(2)).
% 0.35/1.42 cnf('1.1.4.1.1.3',plain,[-(relation(10 ^ []))],extension(3)).
% 0.35/1.42 cnf('1.1.4.1.1.4',plain,[-(function(10 ^ []))],extension(4)).
% 0.35/1.42 cnf('1.1.4.1.2',plain,[-(relation(relation_composition(9 ^ [], 10 ^ []))), relation(9 ^ []), relation(10 ^ [])],extension(10,bind([[_25835, _25886], [9 ^ [], 10 ^ []]]))).
% 0.35/1.42 cnf('1.1.4.1.2.1',plain,[-(relation(9 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.4.1.2.2',plain,[-(relation(10 ^ []))],extension(3)).
% 0.35/1.42 cnf('1.1.4.1.3',plain,[in(8 ^ [], relation_dom(relation_composition(9 ^ [], 10 ^ []))), function(10 ^ []), relation(10 ^ []), function(9 ^ []), relation(9 ^ []), -(in(apply(9 ^ [], 8 ^ []), relation_dom(10 ^ [])))],extension(12,bind([[_31716, _31450, _31538], [9 ^ [], 8 ^ [], 10 ^ []]]))).
% 0.35/1.42 cnf('1.1.4.1.3.1',plain,[-(function(10 ^ []))],extension(4)).
% 0.35/1.42 cnf('1.1.4.1.3.2',plain,[-(relation(10 ^ []))],extension(3)).
% 0.35/1.42 cnf('1.1.4.1.3.3',plain,[-(function(9 ^ []))],extension(2)).
% 0.35/1.42 cnf('1.1.4.1.3.4',plain,[-(relation(9 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.4.1.3.5',plain,[in(apply(9 ^ [], 8 ^ []), relation_dom(10 ^ []))],lemmata('1.1')).
% 0.35/1.42 cnf('1.1.4.1.4',plain,[-(empty_set = empty_set)],extension(7,bind([[_15734], [empty_set]]))).
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.43
% 0.35/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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