TSTP Solution File: SEU252+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU252+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n019.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 12:01:27 EDT 2022

% Result   : Theorem 0.44s 1.42s
% Output   : Proof 0.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU252+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n019.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 : Sat Jun 18 22:15:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.44/1.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/1.43  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/1.43  
% 0.44/1.43  %-----------------------------------------------------
% 0.44/1.43  fof(t22_wellord1, conjecture, ! [_54021, _54024] : (relation(_54024) => reflexive(_54024) => reflexive(relation_restriction(_54024, _54021))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t22_wellord1)).
% 0.44/1.43  fof(dt_k2_wellord1, axiom, ! [_54241, _54244] : (relation(_54241) => relation(relation_restriction(_54241, _54244))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k2_wellord1)).
% 0.44/1.43  fof(l1_wellord1, axiom, ! [_54396] : (relation(_54396) => (reflexive(_54396) <=> ! [_54418] : (in(_54418, relation_field(_54396)) => in(ordered_pair(_54418, _54418), _54396)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l1_wellord1)).
% 0.44/1.43  fof(t106_zfmisc_1, axiom, ! [_54664, _54667, _54670, _54673] : (in(ordered_pair(_54664, _54667), cartesian_product2(_54670, _54673)) <=> in(_54664, _54670) & in(_54667, _54673)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t106_zfmisc_1)).
% 0.44/1.43  fof(t16_wellord1, axiom, ! [_54894, _54897, _54900] : (relation(_54900) => (in(_54894, relation_restriction(_54900, _54897)) <=> in(_54894, _54900) & in(_54894, cartesian_product2(_54897, _54897)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t16_wellord1)).
% 0.44/1.43  fof(t19_wellord1, axiom, ! [_55132, _55135, _55138] : (relation(_55138) => in(_55132, relation_field(relation_restriction(_55138, _55135))) => in(_55132, relation_field(_55138)) & in(_55132, _55135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t19_wellord1)).
% 0.44/1.43  
% 0.44/1.43  cnf(1, plain, [-(relation(9 ^ []))], clausify(t22_wellord1)).
% 0.44/1.43  cnf(2, plain, [-(reflexive(9 ^ []))], clausify(t22_wellord1)).
% 0.44/1.43  cnf(3, plain, [reflexive(relation_restriction(9 ^ [], 8 ^ []))], clausify(t22_wellord1)).
% 0.44/1.43  cnf(4, plain, [relation(_28137), -(relation(relation_restriction(_28137, _28183)))], clausify(dt_k2_wellord1)).
% 0.44/1.43  cnf(5, plain, [relation(_31071), -(reflexive(_31071)), -(in(2 ^ [_31071], relation_field(_31071)))], clausify(l1_wellord1)).
% 0.44/1.43  cnf(6, plain, [relation(_31071), -(reflexive(_31071)), in(ordered_pair(2 ^ [_31071], 2 ^ [_31071]), _31071)], clausify(l1_wellord1)).
% 0.44/1.43  cnf(7, plain, [relation(_31071), reflexive(_31071), in(_31207, relation_field(_31071)), -(in(ordered_pair(_31207, _31207), _31071))], clausify(l1_wellord1)).
% 0.44/1.43  cnf(8, plain, [-(in(ordered_pair(_32633, _32700), cartesian_product2(_32766, _32831))), in(_32633, _32766), in(_32700, _32831)], clausify(t106_zfmisc_1)).
% 0.44/1.43  cnf(9, plain, [relation(_33411), -(in(_33278, relation_restriction(_33411, _33345))), in(_33278, _33411), in(_33278, cartesian_product2(_33345, _33345))], clausify(t16_wellord1)).
% 0.44/1.43  cnf(10, plain, [relation(_34040), in(_33905, relation_field(relation_restriction(_34040, _33973))), -(in(_33905, relation_field(_34040)))], clausify(t19_wellord1)).
% 0.44/1.43  cnf(11, plain, [relation(_34040), in(_33905, relation_field(relation_restriction(_34040, _33973))), -(in(_33905, _33973))], clausify(t19_wellord1)).
% 0.44/1.43  
% 0.44/1.43  cnf('1',plain,[reflexive(relation_restriction(9 ^ [], 8 ^ []))],start(3)).
% 0.44/1.43  cnf('1.1',plain,[-(reflexive(relation_restriction(9 ^ [], 8 ^ []))), relation(relation_restriction(9 ^ [], 8 ^ [])), in(ordered_pair(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 2 ^ [relation_restriction(9 ^ [], 8 ^ [])]), relation_restriction(9 ^ [], 8 ^ []))],extension(6,bind([[_31071], [relation_restriction(9 ^ [], 8 ^ [])]]))).
% 0.44/1.43  cnf('1.1.1',plain,[-(relation(relation_restriction(9 ^ [], 8 ^ []))), relation(9 ^ [])],extension(4,bind([[_28183, _28137], [8 ^ [], 9 ^ []]]))).
% 0.44/1.43  cnf('1.1.1.1',plain,[-(relation(9 ^ []))],extension(1)).
% 0.44/1.43  cnf('1.1.2',plain,[-(in(ordered_pair(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 2 ^ [relation_restriction(9 ^ [], 8 ^ [])]), relation_restriction(9 ^ [], 8 ^ []))), relation(9 ^ []), in(ordered_pair(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 2 ^ [relation_restriction(9 ^ [], 8 ^ [])]), 9 ^ []), in(ordered_pair(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 2 ^ [relation_restriction(9 ^ [], 8 ^ [])]), cartesian_product2(8 ^ [], 8 ^ []))],extension(9,bind([[_33411, _33278, _33345], [9 ^ [], ordered_pair(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 2 ^ [relation_restriction(9 ^ [], 8 ^ [])]), 8 ^ []]]))).
% 0.44/1.43  cnf('1.1.2.1',plain,[-(relation(9 ^ []))],extension(1)).
% 0.44/1.43  cnf('1.1.2.2',plain,[-(in(ordered_pair(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 2 ^ [relation_restriction(9 ^ [], 8 ^ [])]), 9 ^ [])), relation(9 ^ []), reflexive(9 ^ []), in(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], relation_field(9 ^ []))],extension(7,bind([[_31207, _31071], [2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 9 ^ []]]))).
% 0.44/1.43  cnf('1.1.2.2.1',plain,[-(relation(9 ^ []))],extension(1)).
% 0.44/1.43  cnf('1.1.2.2.2',plain,[-(reflexive(9 ^ []))],extension(2)).
% 0.44/1.43  cnf('1.1.2.2.3',plain,[-(in(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], relation_field(9 ^ []))), relation(9 ^ []), in(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], relation_field(relation_restriction(9 ^ [], 8 ^ [])))],extension(10,bind([[_33905, _34040, _33973], [2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 9 ^ [], 8 ^ []]]))).
% 0.44/1.43  cnf('1.1.2.2.3.1',plain,[-(relation(9 ^ []))],extension(1)).
% 0.44/1.43  cnf('1.1.2.2.3.2',plain,[-(in(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], relation_field(relation_restriction(9 ^ [], 8 ^ [])))), relation(relation_restriction(9 ^ [], 8 ^ [])), -(reflexive(relation_restriction(9 ^ [], 8 ^ [])))],extension(5,bind([[_31071], [relation_restriction(9 ^ [], 8 ^ [])]]))).
% 0.44/1.43  cnf('1.1.2.2.3.2.1',plain,[-(relation(relation_restriction(9 ^ [], 8 ^ [])))],lemmata('1.1')).
% 0.44/1.43  cnf('1.1.2.2.3.2.2',plain,[reflexive(relation_restriction(9 ^ [], 8 ^ []))],extension(3)).
% 0.44/1.43  cnf('1.1.2.3',plain,[-(in(ordered_pair(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 2 ^ [relation_restriction(9 ^ [], 8 ^ [])]), cartesian_product2(8 ^ [], 8 ^ []))), in(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 8 ^ []), in(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 8 ^ [])],extension(8,bind([[_32633, _32766, _32700, _32831], [2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 8 ^ [], 2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 8 ^ []]]))).
% 0.44/1.43  cnf('1.1.2.3.1',plain,[-(in(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 8 ^ [])), relation(9 ^ []), in(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], relation_field(relation_restriction(9 ^ [], 8 ^ [])))],extension(11,bind([[_33905, _34040, _33973], [2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 9 ^ [], 8 ^ []]]))).
% 0.44/1.43  cnf('1.1.2.3.1.1',plain,[-(relation(9 ^ []))],extension(1)).
% 0.44/1.43  cnf('1.1.2.3.1.2',plain,[-(in(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], relation_field(relation_restriction(9 ^ [], 8 ^ [])))), relation(relation_restriction(9 ^ [], 8 ^ [])), -(reflexive(relation_restriction(9 ^ [], 8 ^ [])))],extension(5,bind([[_31071], [relation_restriction(9 ^ [], 8 ^ [])]]))).
% 0.44/1.43  cnf('1.1.2.3.1.2.1',plain,[-(relation(relation_restriction(9 ^ [], 8 ^ [])))],lemmata('1.1')).
% 0.44/1.43  cnf('1.1.2.3.1.2.2',plain,[reflexive(relation_restriction(9 ^ [], 8 ^ []))],extension(3)).
% 0.44/1.43  cnf('1.1.2.3.2',plain,[-(in(2 ^ [relation_restriction(9 ^ [], 8 ^ [])], 8 ^ []))],lemmata('1.1.2.3')).
% 0.44/1.43  %-----------------------------------------------------
% 0.54/1.44  
% 0.54/1.44  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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