TSTP Solution File: SEU201+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU201+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n012.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 12:00:57 EDT 2022

% Result   : Theorem 4.16s 4.54s
% Output   : Proof 4.16s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU201+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 19 11:10:23 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 4.16/4.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.16/4.55  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.16/4.55  
% 4.16/4.55  %-----------------------------------------------------
% 4.16/4.55  fof(t119_relat_1, conjecture, ! [_263067, _263070] : (relation(_263070) => relation_rng(relation_rng_restriction(_263067, _263070)) = set_intersection2(relation_rng(_263070), _263067)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t119_relat_1)).
% 4.16/4.55  fof(d3_xboole_0, axiom, ! [_263383, _263386, _263389] : (_263389 = set_intersection2(_263383, _263386) <=> ! [_263410] : (in(_263410, _263389) <=> in(_263410, _263383) & in(_263410, _263386))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 4.16/4.55  fof(t115_relat_1, lemma, ! [_263784, _263787, _263790] : (relation(_263790) => (in(_263784, relation_rng(relation_rng_restriction(_263787, _263790))) <=> in(_263784, _263787) & in(_263784, relation_rng(_263790)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t115_relat_1)).
% 4.16/4.55  
% 4.16/4.55  cnf(1, plain, [-(relation(63 ^ []))], clausify(t119_relat_1)).
% 4.16/4.55  cnf(2, plain, [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])) = set_intersection2(relation_rng(63 ^ []), 62 ^ [])], clausify(t119_relat_1)).
% 4.16/4.55  cnf(3, plain, [-(_118940 = set_intersection2(_118801, _118871)), -(in(28 ^ [_118940, _118871, _118801], _118940)), -(in(28 ^ [_118940, _118871, _118801], _118801))], clausify(d3_xboole_0)).
% 4.16/4.55  cnf(4, plain, [-(_118940 = set_intersection2(_118801, _118871)), -(in(28 ^ [_118940, _118871, _118801], _118940)), -(in(28 ^ [_118940, _118871, _118801], _118871))], clausify(d3_xboole_0)).
% 4.16/4.55  cnf(5, plain, [-(_118940 = set_intersection2(_118801, _118871)), in(28 ^ [_118940, _118871, _118801], _118940), in(28 ^ [_118940, _118871, _118801], _118801), in(28 ^ [_118940, _118871, _118801], _118871)], clausify(d3_xboole_0)).
% 4.16/4.55  cnf(6, plain, [relation(_150331), in(_150196, relation_rng(relation_rng_restriction(_150264, _150331))), -(in(_150196, _150264))], clausify(t115_relat_1)).
% 4.16/4.55  cnf(7, plain, [relation(_150331), in(_150196, relation_rng(relation_rng_restriction(_150264, _150331))), -(in(_150196, relation_rng(_150331)))], clausify(t115_relat_1)).
% 4.16/4.55  cnf(8, plain, [relation(_150331), -(in(_150196, relation_rng(relation_rng_restriction(_150264, _150331)))), in(_150196, _150264), in(_150196, relation_rng(_150331))], clausify(t115_relat_1)).
% 4.16/4.55  
% 4.16/4.55  cnf('1',plain,[relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])) = set_intersection2(relation_rng(63 ^ []), 62 ^ [])],start(2)).
% 4.16/4.55  cnf('1.1',plain,[-(relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])) = set_intersection2(relation_rng(63 ^ []), 62 ^ [])), -(in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])))), -(in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], 62 ^ []))],extension(4,bind([[_118940, _118801, _118871], [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), relation_rng(63 ^ []), 62 ^ []]]))).
% 4.16/4.55  cnf('1.1.1',plain,[in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(relation_rng_restriction(62 ^ [], 63 ^ []))), -(relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])) = set_intersection2(relation_rng(63 ^ []), 62 ^ [])), in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(63 ^ [])), in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], 62 ^ [])],extension(5,bind([[_118940, _118801, _118871], [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), relation_rng(63 ^ []), 62 ^ []]]))).
% 4.16/4.55  cnf('1.1.1.1',plain,[relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])) = set_intersection2(relation_rng(63 ^ []), 62 ^ [])],extension(2)).
% 4.16/4.55  cnf('1.1.1.2',plain,[-(in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(63 ^ []))), relation(63 ^ []), in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])))],extension(7,bind([[_150196, _150264, _150331], [28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], 62 ^ [], 63 ^ []]]))).
% 4.16/4.55  cnf('1.1.1.2.1',plain,[-(relation(63 ^ []))],extension(1)).
% 4.16/4.55  cnf('1.1.1.2.2',plain,[-(in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(relation_rng_restriction(62 ^ [], 63 ^ []))))],reduction('1.1')).
% 4.16/4.55  cnf('1.1.1.3',plain,[-(in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], 62 ^ [])), relation(63 ^ []), in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])))],extension(6,bind([[_150196, _150264, _150331], [28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], 62 ^ [], 63 ^ []]]))).
% 4.16/4.55  cnf('1.1.1.3.1',plain,[-(relation(63 ^ []))],extension(1)).
% 4.16/4.55  cnf('1.1.1.3.2',plain,[-(in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(relation_rng_restriction(62 ^ [], 63 ^ []))))],reduction('1.1')).
% 4.16/4.55  cnf('1.1.2',plain,[in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], 62 ^ []), relation(63 ^ []), -(in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])))), in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(63 ^ []))],extension(8,bind([[_150264, _150196, _150331], [62 ^ [], 28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], 63 ^ []]]))).
% 4.16/4.55  cnf('1.1.2.1',plain,[-(relation(63 ^ []))],extension(1)).
% 4.16/4.55  cnf('1.1.2.2',plain,[in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])))],lemmata('1.1')).
% 4.16/4.55  cnf('1.1.2.3',plain,[-(in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(63 ^ []))), -(relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])) = set_intersection2(relation_rng(63 ^ []), 62 ^ [])), -(in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(relation_rng_restriction(62 ^ [], 63 ^ []))))],extension(3,bind([[_118871, _118801, _118940], [62 ^ [], relation_rng(63 ^ []), relation_rng(relation_rng_restriction(62 ^ [], 63 ^ []))]]))).
% 4.16/4.55  cnf('1.1.2.3.1',plain,[relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])) = set_intersection2(relation_rng(63 ^ []), 62 ^ [])],extension(2)).
% 4.16/4.55  cnf('1.1.2.3.2',plain,[in(28 ^ [relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])), 62 ^ [], relation_rng(63 ^ [])], relation_rng(relation_rng_restriction(62 ^ [], 63 ^ [])))],lemmata('1.1.2')).
% 4.16/4.55  %-----------------------------------------------------
% 4.16/4.56  
% 4.16/4.56  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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