TSTP Solution File: SEU212+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU212+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 0.44s 1.41s
% Output : Proof 0.44s
% 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+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Mon Jun 20 03:35:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/1.42
% 0.44/1.42 %-----------------------------------------------------
% 0.44/1.42 fof(t8_funct_1, conjecture, ! [_294715, _294718, _294721] : (relation(_294721) & function(_294721) => (in(ordered_pair(_294715, _294718), _294721) <=> in(_294715, relation_dom(_294721)) & _294718 = apply(_294721, _294715))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t8_funct_1)).
% 0.44/1.42 fof(d4_funct_1, axiom, ! [_295197] : (relation(_295197) & function(_295197) => ! [_295219, _295222] : ((in(_295219, relation_dom(_295197)) => (_295222 = apply(_295197, _295219) <=> in(ordered_pair(_295219, _295222), _295197))) & (~ in(_295219, relation_dom(_295197)) => (_295222 = apply(_295197, _295219) <=> _295222 = empty_set)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_funct_1)).
% 0.44/1.42 fof(t20_relat_1, lemma, ! [_295768, _295771, _295774] : (relation(_295774) => in(ordered_pair(_295768, _295771), _295774) => in(_295768, relation_dom(_295774)) & in(_295771, relation_rng(_295774))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t20_relat_1)).
% 0.44/1.42
% 0.44/1.42 cnf(1, plain, [-(76 ^ []), in(ordered_pair(72 ^ [], 73 ^ []), 74 ^ [])], clausify(t8_funct_1)).
% 0.44/1.42 cnf(2, plain, [-(76 ^ []), -(73 ^ [] = apply(74 ^ [], 72 ^ []))], clausify(t8_funct_1)).
% 0.44/1.42 cnf(3, plain, [-(76 ^ []), -(in(72 ^ [], relation_dom(74 ^ [])))], clausify(t8_funct_1)).
% 0.44/1.42 cnf(4, plain, [-(75 ^ []), in(72 ^ [], relation_dom(74 ^ [])), 73 ^ [] = apply(74 ^ [], 72 ^ [])], clausify(t8_funct_1)).
% 0.44/1.42 cnf(5, plain, [-(75 ^ []), -(in(ordered_pair(72 ^ [], 73 ^ []), 74 ^ []))], clausify(t8_funct_1)).
% 0.44/1.42 cnf(6, plain, [-(relation(74 ^ []))], clausify(t8_funct_1)).
% 0.44/1.42 cnf(7, plain, [-(function(74 ^ []))], clausify(t8_funct_1)).
% 0.44/1.42 cnf(8, plain, [76 ^ [], 75 ^ []], clausify(t8_funct_1)).
% 0.44/1.42 cnf(9, plain, [function(_135377), relation(_135377), in(_135567, relation_dom(_135377)), _135655 = apply(_135377, _135567), -(in(ordered_pair(_135567, _135655), _135377))], clausify(d4_funct_1)).
% 0.44/1.42 cnf(10, plain, [function(_135377), relation(_135377), in(_135567, relation_dom(_135377)), -(_135655 = apply(_135377, _135567)), in(ordered_pair(_135567, _135655), _135377)], clausify(d4_funct_1)).
% 0.44/1.42 cnf(11, plain, [relation(_180486), in(ordered_pair(_180351, _180419), _180486), -(in(_180351, relation_dom(_180486)))], clausify(t20_relat_1)).
% 0.44/1.42
% 0.44/1.42 cnf('1',plain,[76 ^ [], 75 ^ []],start(8)).
% 0.44/1.42 cnf('1.1',plain,[-(76 ^ []), in(ordered_pair(72 ^ [], 73 ^ []), 74 ^ [])],extension(1)).
% 0.44/1.42 cnf('1.1.1',plain,[-(in(ordered_pair(72 ^ [], 73 ^ []), 74 ^ [])), function(74 ^ []), relation(74 ^ []), in(72 ^ [], relation_dom(74 ^ [])), 73 ^ [] = apply(74 ^ [], 72 ^ [])],extension(9,bind([[_135655, _135377, _135567], [73 ^ [], 74 ^ [], 72 ^ []]]))).
% 0.44/1.42 cnf('1.1.1.1',plain,[-(function(74 ^ []))],extension(7)).
% 0.44/1.42 cnf('1.1.1.2',plain,[-(relation(74 ^ []))],extension(6)).
% 0.44/1.42 cnf('1.1.1.3',plain,[-(in(72 ^ [], relation_dom(74 ^ []))), -(76 ^ [])],extension(3)).
% 0.44/1.42 cnf('1.1.1.3.1',plain,[76 ^ []],reduction('1')).
% 0.44/1.42 cnf('1.1.1.4',plain,[-(73 ^ [] = apply(74 ^ [], 72 ^ [])), -(76 ^ [])],extension(2)).
% 0.44/1.42 cnf('1.1.1.4.1',plain,[76 ^ []],reduction('1')).
% 0.44/1.42 cnf('1.2',plain,[-(75 ^ []), in(72 ^ [], relation_dom(74 ^ [])), 73 ^ [] = apply(74 ^ [], 72 ^ [])],extension(4)).
% 0.44/1.42 cnf('1.2.1',plain,[-(in(72 ^ [], relation_dom(74 ^ []))), relation(74 ^ []), in(ordered_pair(72 ^ [], 73 ^ []), 74 ^ [])],extension(11,bind([[_180351, _180419, _180486], [72 ^ [], 73 ^ [], 74 ^ []]]))).
% 0.44/1.42 cnf('1.2.1.1',plain,[-(relation(74 ^ []))],extension(6)).
% 0.44/1.42 cnf('1.2.1.2',plain,[-(in(ordered_pair(72 ^ [], 73 ^ []), 74 ^ [])), -(75 ^ [])],extension(5)).
% 0.44/1.42 cnf('1.2.1.2.1',plain,[75 ^ []],reduction('1')).
% 0.44/1.42 cnf('1.2.2',plain,[-(73 ^ [] = apply(74 ^ [], 72 ^ [])), function(74 ^ []), relation(74 ^ []), in(72 ^ [], relation_dom(74 ^ [])), in(ordered_pair(72 ^ [], 73 ^ []), 74 ^ [])],extension(10,bind([[_135567, _135655, _135377], [72 ^ [], 73 ^ [], 74 ^ []]]))).
% 0.44/1.42 cnf('1.2.2.1',plain,[-(function(74 ^ []))],extension(7)).
% 0.44/1.42 cnf('1.2.2.2',plain,[-(relation(74 ^ []))],extension(6)).
% 0.44/1.42 cnf('1.2.2.3',plain,[-(in(72 ^ [], relation_dom(74 ^ [])))],lemmata('1.2')).
% 0.44/1.42 cnf('1.2.2.4',plain,[-(in(ordered_pair(72 ^ [], 73 ^ []), 74 ^ [])), -(75 ^ [])],extension(5)).
% 0.44/1.42 cnf('1.2.2.4.1',plain,[75 ^ []],reduction('1')).
% 0.44/1.42 %-----------------------------------------------------
% 0.44/1.42
% 0.44/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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