TSTP Solution File: SET654+3 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET654+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n029.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 02:55:10 EDT 2022

% Result   : Theorem 161.72s 117.49s
% Output   : Proof 161.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET654+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  9 16:11:45 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 161.72/117.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 161.74/117.49  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 161.74/117.50  
% 161.74/117.50  %-----------------------------------------------------
% 161.74/117.50  fof(prove_relset_1_16, conjecture, ! [_50939] : (ilf_type(_50939, set_type) => ! [_50957] : (ilf_type(_50957, set_type) => ! [_50975] : (ilf_type(_50975, set_type) => ! [_50993] : (ilf_type(_50993, relation_type(_50975, _50939)) => subset(_50939, _50957) => ilf_type(_50993, relation_type(_50975, _50957)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_relset_1_16)).
% 161.74/117.50  fof(p1, axiom, ! [_51379] : (ilf_type(_51379, set_type) => ! [_51397] : (ilf_type(_51397, set_type) => ! [_51415] : (ilf_type(_51415, set_type) => subset(_51379, _51397) & subset(_51397, _51415) => subset(_51379, _51415)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p1)).
% 161.74/117.50  fof(p2, axiom, ! [_51687] : (ilf_type(_51687, set_type) => ! [_51705] : (ilf_type(_51705, set_type) => ! [_51723] : (ilf_type(_51723, relation_type(_51687, _51705)) => subset(domain_of(_51723), _51687) & subset(range_of(_51723), _51705)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p2)).
% 161.74/117.50  fof(p3, axiom, ! [_52000] : (ilf_type(_52000, set_type) => ! [_52018] : (ilf_type(_52018, set_type) => ! [_52036] : (ilf_type(_52036, set_type) => ! [_52054] : (ilf_type(_52054, relation_type(_52036, _52000)) => subset(range_of(_52054), _52018) => ilf_type(_52054, relation_type(_52036, _52018)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p3)).
% 161.74/117.50  fof(p22, axiom, ! [_52411] : ilf_type(_52411, set_type), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p22)).
% 161.74/117.50  
% 161.74/117.50  cnf(1, plain, [-(ilf_type(10 ^ [], set_type))], clausify(prove_relset_1_16)).
% 161.74/117.50  cnf(2, plain, [-(ilf_type(11 ^ [], set_type))], clausify(prove_relset_1_16)).
% 161.74/117.50  cnf(3, plain, [-(ilf_type(12 ^ [], set_type))], clausify(prove_relset_1_16)).
% 161.74/117.50  cnf(4, plain, [-(ilf_type(13 ^ [], relation_type(12 ^ [], 10 ^ [])))], clausify(prove_relset_1_16)).
% 161.74/117.50  cnf(5, plain, [-(subset(10 ^ [], 11 ^ []))], clausify(prove_relset_1_16)).
% 161.74/117.50  cnf(6, plain, [ilf_type(13 ^ [], relation_type(12 ^ [], 11 ^ []))], clausify(prove_relset_1_16)).
% 161.74/117.50  cnf(7, plain, [ilf_type(_22500, set_type), ilf_type(_22633, set_type), ilf_type(_22759, set_type), -(subset(_22500, _22759)), subset(_22500, _22633), subset(_22633, _22759)], clausify(p1)).
% 161.74/117.50  cnf(8, plain, [ilf_type(_23225, set_type), ilf_type(_23359, set_type), ilf_type(_23486, relation_type(_23225, _23359)), -(subset(range_of(_23486), _23359))], clausify(p2)).
% 161.74/117.50  cnf(9, plain, [ilf_type(_23948, set_type), ilf_type(_24094, set_type), ilf_type(_24233, set_type), ilf_type(_24365, relation_type(_24233, _23948)), subset(range_of(_24365), _24094), -(ilf_type(_24365, relation_type(_24233, _24094)))], clausify(p3)).
% 161.74/117.50  cnf(10, plain, [-(ilf_type(_33941, set_type))], clausify(p22)).
% 161.74/117.50  
% 161.74/117.50  cnf('1',plain,[ilf_type(13 ^ [], relation_type(12 ^ [], 11 ^ []))],start(6)).
% 161.74/117.50  cnf('1.1',plain,[-(ilf_type(13 ^ [], relation_type(12 ^ [], 11 ^ []))), ilf_type(10 ^ [], set_type), ilf_type(11 ^ [], set_type), ilf_type(12 ^ [], set_type), ilf_type(13 ^ [], relation_type(12 ^ [], 10 ^ [])), subset(range_of(13 ^ []), 11 ^ [])],extension(9,bind([[_24233, _23948, _24365, _24094], [12 ^ [], 10 ^ [], 13 ^ [], 11 ^ []]]))).
% 161.74/117.50  cnf('1.1.1',plain,[-(ilf_type(10 ^ [], set_type))],extension(1)).
% 161.74/117.50  cnf('1.1.2',plain,[-(ilf_type(11 ^ [], set_type))],extension(2)).
% 161.74/117.50  cnf('1.1.3',plain,[-(ilf_type(12 ^ [], set_type))],extension(3)).
% 161.74/117.50  cnf('1.1.4',plain,[-(ilf_type(13 ^ [], relation_type(12 ^ [], 10 ^ [])))],extension(4)).
% 161.74/117.50  cnf('1.1.5',plain,[-(subset(range_of(13 ^ []), 11 ^ [])), ilf_type(range_of(13 ^ []), set_type), ilf_type(10 ^ [], set_type), ilf_type(11 ^ [], set_type), subset(range_of(13 ^ []), 10 ^ []), subset(10 ^ [], 11 ^ [])],extension(7,bind([[_22500, _22633, _22759], [range_of(13 ^ []), 10 ^ [], 11 ^ []]]))).
% 161.74/117.50  cnf('1.1.5.1',plain,[-(ilf_type(range_of(13 ^ []), set_type))],extension(10,bind([[_33941], [range_of(13 ^ [])]]))).
% 161.74/117.50  cnf('1.1.5.2',plain,[-(ilf_type(10 ^ [], set_type))],extension(1)).
% 161.74/117.50  cnf('1.1.5.3',plain,[-(ilf_type(11 ^ [], set_type))],extension(2)).
% 161.74/117.50  cnf('1.1.5.4',plain,[-(subset(range_of(13 ^ []), 10 ^ [])), ilf_type(12 ^ [], set_type), ilf_type(10 ^ [], set_type), ilf_type(13 ^ [], relation_type(12 ^ [], 10 ^ []))],extension(8,bind([[_23486, _23225, _23359], [13 ^ [], 12 ^ [], 10 ^ []]]))).
% 161.74/117.50  cnf('1.1.5.4.1',plain,[-(ilf_type(12 ^ [], set_type))],extension(3)).
% 161.74/117.50  cnf('1.1.5.4.2',plain,[-(ilf_type(10 ^ [], set_type))],extension(1)).
% 161.74/117.50  cnf('1.1.5.4.3',plain,[-(ilf_type(13 ^ [], relation_type(12 ^ [], 10 ^ [])))],extension(4)).
% 161.74/117.50  cnf('1.1.5.5',plain,[-(subset(10 ^ [], 11 ^ []))],extension(5)).
% 161.74/117.50  %-----------------------------------------------------
% 161.74/117.50  
% 161.74/117.51  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------