TSTP Solution File: SEU206+2 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : SEU206+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 12:01:00 EDT 2022
% Result : Theorem 4.56s 5.56s
% Output : Proof 4.58s
% 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 : SEU206+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n004.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 06:47:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.56/5.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.56/5.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.58/5.57
% 4.58/5.57 %-----------------------------------------------------
% 4.58/5.57 fof(t146_relat_1, conjecture, ! [_275043] : (relation(_275043) => relation_image(_275043, relation_dom(_275043)) = relation_rng(_275043)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t146_relat_1)).
% 4.58/5.57 fof(d13_relat_1, axiom, ! [_275286] : (relation(_275286) => ! [_275301, _275304] : (_275304 = relation_image(_275286, _275301) <=> ! [_275325] : (in(_275325, _275304) <=> ? [_275343] : (in(ordered_pair(_275343, _275325), _275286) & in(_275343, _275301))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d13_relat_1)).
% 4.58/5.57 fof(d5_relat_1, axiom, ! [_275723] : (relation(_275723) => ! [_275738] : (_275738 = relation_rng(_275723) <=> ! [_275756] : (in(_275756, _275738) <=> ? [_275774] : in(ordered_pair(_275774, _275756), _275723)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d5_relat_1)).
% 4.58/5.57 fof(t20_relat_1, lemma, ! [_276159, _276162, _276165] : (relation(_276165) => in(ordered_pair(_276159, _276162), _276165) => in(_276159, relation_dom(_276165)) & in(_276162, relation_rng(_276165))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t20_relat_1)).
% 4.58/5.57
% 4.58/5.57 cnf(1, plain, [-(relation(66 ^ []))], clausify(t146_relat_1)).
% 4.58/5.57 cnf(2, plain, [relation_image(66 ^ [], relation_dom(66 ^ [])) = relation_rng(66 ^ [])], clausify(t146_relat_1)).
% 4.58/5.57 cnf(3, plain, [-(_91563 = _91563)], theory(equality)).
% 4.58/5.57 cnf(4, plain, [relation(_115394), _115592 = relation_image(_115394, _115515), in(_115764, _115592), -(in(ordered_pair(7 ^ [_115764, _115592, _115515, _115394], _115764), _115394))], clausify(d13_relat_1)).
% 4.58/5.57 cnf(5, plain, [relation(_115394), _115592 = relation_image(_115394, _115515), -(in(_115764, _115592)), in(ordered_pair(_115890, _115764), _115394), in(_115890, _115515)], clausify(d13_relat_1)).
% 4.58/5.57 cnf(6, plain, [relation(_127040), -(_127149 = relation_rng(_127040)), in(40 ^ [_127149, _127040], _127149), in(ordered_pair(_207403, 40 ^ [_127149, _127040]), _127040)], clausify(d5_relat_1)).
% 4.58/5.57 cnf(7, plain, [relation(_127040), -(_127149 = relation_rng(_127040)), -(in(40 ^ [_127149, _127040], _127149)), -(in(ordered_pair(41 ^ [_127149, _127040], 40 ^ [_127149, _127040]), _127040))], clausify(d5_relat_1)).
% 4.58/5.57 cnf(8, plain, [relation(_164921), in(ordered_pair(_164786, _164854), _164921), -(in(_164786, relation_dom(_164921)))], clausify(t20_relat_1)).
% 4.58/5.57
% 4.58/5.57 cnf('1',plain,[relation_image(66 ^ [], relation_dom(66 ^ [])) = relation_rng(66 ^ [])],start(2)).
% 4.58/5.57 cnf('1.1',plain,[-(relation_image(66 ^ [], relation_dom(66 ^ [])) = relation_rng(66 ^ [])), relation(66 ^ []), -(in(40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_image(66 ^ [], relation_dom(66 ^ [])))), -(in(ordered_pair(41 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], 40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []]), 66 ^ []))],extension(7,bind([[_127149, _127040], [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []]]))).
% 4.58/5.57 cnf('1.1.1',plain,[-(relation(66 ^ []))],extension(1)).
% 4.58/5.57 cnf('1.1.2',plain,[in(40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_image(66 ^ [], relation_dom(66 ^ []))), relation(66 ^ []), relation_image(66 ^ [], relation_dom(66 ^ [])) = relation_image(66 ^ [], relation_dom(66 ^ [])), -(in(ordered_pair(7 ^ [40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_image(66 ^ [], relation_dom(66 ^ [])), relation_dom(66 ^ []), 66 ^ []], 40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []]), 66 ^ []))],extension(4,bind([[_115592, _115515, _115764, _115394], [relation_image(66 ^ [], relation_dom(66 ^ [])), relation_dom(66 ^ []), 40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], 66 ^ []]]))).
% 4.58/5.57 cnf('1.1.2.1',plain,[-(relation(66 ^ []))],extension(1)).
% 4.58/5.57 cnf('1.1.2.2',plain,[-(relation_image(66 ^ [], relation_dom(66 ^ [])) = relation_image(66 ^ [], relation_dom(66 ^ [])))],extension(3,bind([[_91563], [relation_image(66 ^ [], relation_dom(66 ^ []))]]))).
% 4.58/5.57 cnf('1.1.2.3',plain,[in(ordered_pair(7 ^ [40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_image(66 ^ [], relation_dom(66 ^ [])), relation_dom(66 ^ []), 66 ^ []], 40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []]), 66 ^ []), relation(66 ^ []), -(relation_image(66 ^ [], relation_dom(66 ^ [])) = relation_rng(66 ^ [])), in(40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_image(66 ^ [], relation_dom(66 ^ [])))],extension(6,bind([[_207403, _127040, _127149], [7 ^ [40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_image(66 ^ [], relation_dom(66 ^ [])), relation_dom(66 ^ []), 66 ^ []], 66 ^ [], relation_image(66 ^ [], relation_dom(66 ^ []))]]))).
% 4.58/5.57 cnf('1.1.2.3.1',plain,[-(relation(66 ^ []))],extension(1)).
% 4.58/5.57 cnf('1.1.2.3.2',plain,[relation_image(66 ^ [], relation_dom(66 ^ [])) = relation_rng(66 ^ [])],extension(2)).
% 4.58/5.57 cnf('1.1.2.3.3',plain,[-(in(40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_image(66 ^ [], relation_dom(66 ^ []))))],reduction('1.1')).
% 4.58/5.57 cnf('1.1.3',plain,[in(ordered_pair(41 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], 40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []]), 66 ^ []), relation(66 ^ []), relation_image(66 ^ [], relation_dom(66 ^ [])) = relation_image(66 ^ [], relation_dom(66 ^ [])), -(in(40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_image(66 ^ [], relation_dom(66 ^ [])))), in(41 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_dom(66 ^ []))],extension(5,bind([[_115394, _115764, _115592, _115890, _115515], [66 ^ [], 40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_image(66 ^ [], relation_dom(66 ^ [])), 41 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_dom(66 ^ [])]]))).
% 4.58/5.57 cnf('1.1.3.1',plain,[-(relation(66 ^ []))],extension(1)).
% 4.58/5.57 cnf('1.1.3.2',plain,[-(relation_image(66 ^ [], relation_dom(66 ^ [])) = relation_image(66 ^ [], relation_dom(66 ^ [])))],extension(3,bind([[_91563], [relation_image(66 ^ [], relation_dom(66 ^ []))]]))).
% 4.58/5.57 cnf('1.1.3.3',plain,[in(40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_image(66 ^ [], relation_dom(66 ^ []))), relation(66 ^ []), -(relation_image(66 ^ [], relation_dom(66 ^ [])) = relation_rng(66 ^ [])), in(ordered_pair(41 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], 40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []]), 66 ^ [])],extension(6,bind([[_207403, _127149, _127040], [41 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []]]))).
% 4.58/5.57 cnf('1.1.3.3.1',plain,[-(relation(66 ^ []))],extension(1)).
% 4.58/5.57 cnf('1.1.3.3.2',plain,[relation_image(66 ^ [], relation_dom(66 ^ [])) = relation_rng(66 ^ [])],extension(2)).
% 4.58/5.57 cnf('1.1.3.3.3',plain,[-(in(ordered_pair(41 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], 40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []]), 66 ^ []))],reduction('1.1')).
% 4.58/5.57 cnf('1.1.3.4',plain,[-(in(41 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], relation_dom(66 ^ []))), relation(66 ^ []), in(ordered_pair(41 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], 40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []]), 66 ^ [])],extension(8,bind([[_164786, _164854, _164921], [41 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], 40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], 66 ^ []]]))).
% 4.58/5.57 cnf('1.1.3.4.1',plain,[-(relation(66 ^ []))],extension(1)).
% 4.58/5.57 cnf('1.1.3.4.2',plain,[-(in(ordered_pair(41 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []], 40 ^ [relation_image(66 ^ [], relation_dom(66 ^ [])), 66 ^ []]), 66 ^ []))],reduction('1.1')).
% 4.58/5.57 %-----------------------------------------------------
% 4.58/5.58
% 4.58/5.58 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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