TSTP Solution File: SEU046+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU046+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n005.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 11:59:56 EDT 2022

% Result   : Theorem 0.29s 1.41s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU046+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : leancop_casc.sh %s %d
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun 19 12:25:23 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.29/1.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/1.42  
% 0.29/1.42  %-----------------------------------------------------
% 0.29/1.42  fof(t89_funct_1, conjecture, ! [_54549, _54552] : (relation(_54552) & function(_54552) => subset(relation_dom(relation_rng_restriction(_54549, _54552)), relation_dom(_54552)) & subset(relation_rng(relation_rng_restriction(_54549, _54552)), relation_rng(_54552))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t89_funct_1)).
% 0.29/1.42  fof(d3_tarski, axiom, ! [_54858, _54861] : (subset(_54858, _54861) <=> ! [_54879] : (in(_54879, _54858) => in(_54879, _54861))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 0.29/1.42  fof(dt_k8_relat_1, axiom, ! [_55075, _55078] : (relation(_55078) => relation(relation_rng_restriction(_55075, _55078))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k8_relat_1)).
% 0.29/1.42  fof(fc5_funct_1, axiom, ! [_55232, _55235] : (relation(_55235) & function(_55235) => relation(relation_rng_restriction(_55232, _55235)) & function(relation_rng_restriction(_55232, _55235))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc5_funct_1)).
% 0.29/1.42  fof(t118_relat_1, axiom, ! [_55465, _55468] : (relation(_55468) => subset(relation_rng(relation_rng_restriction(_55465, _55468)), relation_rng(_55468))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t118_relat_1)).
% 0.29/1.42  fof(t85_funct_1, axiom, ! [_55654, _55657] : (relation(_55657) & function(_55657) => ! [_55679] : (relation(_55679) & function(_55679) => (_55657 = relation_rng_restriction(_55654, _55679) <=> ! [_55714] : (in(_55714, relation_dom(_55657)) <=> in(_55714, relation_dom(_55679)) & in(apply(_55679, _55714), _55654)) & ! [_55714] : (in(_55714, relation_dom(_55657)) => apply(_55657, _55714) = apply(_55679, _55714))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t85_funct_1)).
% 0.29/1.42  
% 0.29/1.42  cnf(1, plain, [-(relation(16 ^ []))], clausify(t89_funct_1)).
% 0.29/1.42  cnf(2, plain, [-(function(16 ^ []))], clausify(t89_funct_1)).
% 0.29/1.42  cnf(3, plain, [subset(relation_dom(relation_rng_restriction(15 ^ [], 16 ^ [])), relation_dom(16 ^ [])), subset(relation_rng(relation_rng_restriction(15 ^ [], 16 ^ [])), relation_rng(16 ^ []))], clausify(t89_funct_1)).
% 0.29/1.42  cnf(4, plain, [-(_16202 = _16202)], theory(equality)).
% 0.29/1.42  cnf(5, plain, [-(subset(_24250, _24306)), -(in(1 ^ [_24306, _24250], _24250))], clausify(d3_tarski)).
% 0.29/1.42  cnf(6, plain, [-(subset(_24250, _24306)), in(1 ^ [_24306, _24250], _24306)], clausify(d3_tarski)).
% 0.29/1.42  cnf(7, plain, [relation(_24757), -(relation(relation_rng_restriction(_24711, _24757)))], clausify(dt_k8_relat_1)).
% 0.29/1.42  cnf(8, plain, [-(function(relation_rng_restriction(_25926, _25985))), relation(_25985), function(_25985)], clausify(fc5_funct_1)).
% 0.29/1.42  cnf(9, plain, [relation(_30365), -(subset(relation_rng(relation_rng_restriction(_30314, _30365)), relation_rng(_30365)))], clausify(t118_relat_1)).
% 0.29/1.42  cnf(10, plain, [function(_33334), relation(_33334), function(_33546), relation(_33546), _33334 = relation_rng_restriction(_33212, _33546), in(_33853, relation_dom(_33334)), -(in(_33853, relation_dom(_33546)))], clausify(t85_funct_1)).
% 0.29/1.42  
% 0.29/1.42  cnf('1',plain,[subset(relation_dom(relation_rng_restriction(15 ^ [], 16 ^ [])), relation_dom(16 ^ [])), subset(relation_rng(relation_rng_restriction(15 ^ [], 16 ^ [])), relation_rng(16 ^ []))],start(3)).
% 0.29/1.42  cnf('1.1',plain,[-(subset(relation_dom(relation_rng_restriction(15 ^ [], 16 ^ [])), relation_dom(16 ^ []))), -(in(1 ^ [relation_dom(16 ^ []), relation_dom(relation_rng_restriction(15 ^ [], 16 ^ []))], relation_dom(relation_rng_restriction(15 ^ [], 16 ^ []))))],extension(5,bind([[_24306, _24250], [relation_dom(16 ^ []), relation_dom(relation_rng_restriction(15 ^ [], 16 ^ []))]]))).
% 0.29/1.42  cnf('1.1.1',plain,[in(1 ^ [relation_dom(16 ^ []), relation_dom(relation_rng_restriction(15 ^ [], 16 ^ []))], relation_dom(relation_rng_restriction(15 ^ [], 16 ^ []))), function(relation_rng_restriction(15 ^ [], 16 ^ [])), relation(relation_rng_restriction(15 ^ [], 16 ^ [])), function(16 ^ []), relation(16 ^ []), relation_rng_restriction(15 ^ [], 16 ^ []) = relation_rng_restriction(15 ^ [], 16 ^ []), -(in(1 ^ [relation_dom(16 ^ []), relation_dom(relation_rng_restriction(15 ^ [], 16 ^ []))], relation_dom(16 ^ [])))],extension(10,bind([[_33334, _33212, _33853, _33546], [relation_rng_restriction(15 ^ [], 16 ^ []), 15 ^ [], 1 ^ [relation_dom(16 ^ []), relation_dom(relation_rng_restriction(15 ^ [], 16 ^ []))], 16 ^ []]]))).
% 0.29/1.42  cnf('1.1.1.1',plain,[-(function(relation_rng_restriction(15 ^ [], 16 ^ []))), relation(16 ^ []), function(16 ^ [])],extension(8,bind([[_25926, _25985], [15 ^ [], 16 ^ []]]))).
% 0.29/1.42  cnf('1.1.1.1.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.29/1.42  cnf('1.1.1.1.2',plain,[-(function(16 ^ []))],extension(2)).
% 0.29/1.42  cnf('1.1.1.2',plain,[-(relation(relation_rng_restriction(15 ^ [], 16 ^ []))), relation(16 ^ [])],extension(7,bind([[_24711, _24757], [15 ^ [], 16 ^ []]]))).
% 0.29/1.42  cnf('1.1.1.2.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.29/1.42  cnf('1.1.1.3',plain,[-(function(16 ^ []))],extension(2)).
% 0.29/1.42  cnf('1.1.1.4',plain,[-(relation(16 ^ []))],extension(1)).
% 0.29/1.42  cnf('1.1.1.5',plain,[-(relation_rng_restriction(15 ^ [], 16 ^ []) = relation_rng_restriction(15 ^ [], 16 ^ []))],extension(4,bind([[_16202], [relation_rng_restriction(15 ^ [], 16 ^ [])]]))).
% 0.29/1.42  cnf('1.1.1.6',plain,[in(1 ^ [relation_dom(16 ^ []), relation_dom(relation_rng_restriction(15 ^ [], 16 ^ []))], relation_dom(16 ^ [])), -(subset(relation_dom(relation_rng_restriction(15 ^ [], 16 ^ [])), relation_dom(16 ^ [])))],extension(6,bind([[_24250, _24306], [relation_dom(relation_rng_restriction(15 ^ [], 16 ^ [])), relation_dom(16 ^ [])]]))).
% 0.29/1.42  cnf('1.1.1.6.1',plain,[subset(relation_dom(relation_rng_restriction(15 ^ [], 16 ^ [])), relation_dom(16 ^ []))],reduction('1')).
% 0.29/1.42  cnf('1.2',plain,[-(subset(relation_rng(relation_rng_restriction(15 ^ [], 16 ^ [])), relation_rng(16 ^ []))), relation(16 ^ [])],extension(9,bind([[_30314, _30365], [15 ^ [], 16 ^ []]]))).
% 0.29/1.42  cnf('1.2.1',plain,[-(relation(16 ^ []))],extension(1)).
% 0.29/1.42  %-----------------------------------------------------
% 0.29/1.42  
% 0.29/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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