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leanCoP---2.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n026.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 12:00:00 EDT 2022

% Result   : Theorem 0.34s 1.40s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n026.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 : Mon Jun 20 01:42:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.34/1.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.40  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.41  
% 0.34/1.41  %-----------------------------------------------------
% 0.34/1.41  fof(t143_funct_1, conjecture, ! [_42737, _42740] : (relation(_42740) => ! [_42755] : ~ (in(_42755, _42737) & relation_inverse_image(_42740, singleton(_42755)) = empty_set) => subset(_42737, relation_rng(_42740))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t143_funct_1)).
% 0.34/1.41  fof(d3_tarski, axiom, ! [_43062, _43065] : (subset(_43062, _43065) <=> ! [_43083] : (in(_43083, _43062) => in(_43083, _43065))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.34/1.41  fof(t142_funct_1, axiom, ! [_43313, _43316] : (relation(_43316) => (in(_43313, relation_rng(_43316)) <=> (! relation_inverse_image(_43316, singleton(_43313))) = empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t142_funct_1)).
% 0.34/1.41  
% 0.34/1.41  cnf(1, plain, [-(relation(14 ^ []))], clausify(t143_funct_1)).
% 0.34/1.41  cnf(2, plain, [subset(13 ^ [], relation_rng(14 ^ []))], clausify(t143_funct_1)).
% 0.34/1.41  cnf(3, plain, [in(_35566, 13 ^ []), relation_inverse_image(14 ^ [], singleton(_35566)) = empty_set], clausify(t143_funct_1)).
% 0.34/1.41  cnf(4, plain, [-(_13558 = _13558)], theory(equality)).
% 0.34/1.41  cnf(5, plain, [-(in(_15815, _15946)), in(_15748, _15881), _15748 = _15815, _15881 = _15946], theory(equality)).
% 0.34/1.41  cnf(6, plain, [-(subset(_20967, _21023)), -(in(1 ^ [_21023, _20967], _20967))], clausify(d3_tarski)).
% 0.34/1.41  cnf(7, plain, [-(subset(_20967, _21023)), in(1 ^ [_21023, _20967], _21023)], clausify(d3_tarski)).
% 0.34/1.41  cnf(8, plain, [relation(_25869), -(in(_25810, relation_rng(_25869))), -(relation_inverse_image(_25869, singleton(_25810)) = empty_set)], clausify(t142_funct_1)).
% 0.34/1.41  
% 0.34/1.41  cnf('1',plain,[in(1 ^ [relation_rng(14 ^ []), 13 ^ []], 13 ^ []), relation_inverse_image(14 ^ [], singleton(1 ^ [relation_rng(14 ^ []), 13 ^ []])) = empty_set],start(3,bind([[_35566], [1 ^ [relation_rng(14 ^ []), 13 ^ []]]]))).
% 0.34/1.41  cnf('1.1',plain,[-(in(1 ^ [relation_rng(14 ^ []), 13 ^ []], 13 ^ [])), in(1 ^ [relation_rng(14 ^ []), 13 ^ []], 13 ^ []), 1 ^ [relation_rng(14 ^ []), 13 ^ []] = 1 ^ [relation_rng(14 ^ []), 13 ^ []], 13 ^ [] = 13 ^ []],extension(5,bind([[_15748, _15815, _15881, _15946], [1 ^ [relation_rng(14 ^ []), 13 ^ []], 1 ^ [relation_rng(14 ^ []), 13 ^ []], 13 ^ [], 13 ^ []]]))).
% 0.34/1.41  cnf('1.1.1',plain,[-(in(1 ^ [relation_rng(14 ^ []), 13 ^ []], 13 ^ [])), -(subset(13 ^ [], relation_rng(14 ^ [])))],extension(6,bind([[_20967, _21023], [13 ^ [], relation_rng(14 ^ [])]]))).
% 0.34/1.41  cnf('1.1.1.1',plain,[subset(13 ^ [], relation_rng(14 ^ []))],extension(2)).
% 0.34/1.41  cnf('1.1.2',plain,[-(1 ^ [relation_rng(14 ^ []), 13 ^ []] = 1 ^ [relation_rng(14 ^ []), 13 ^ []])],extension(4,bind([[_13558], [1 ^ [relation_rng(14 ^ []), 13 ^ []]]]))).
% 0.34/1.41  cnf('1.1.3',plain,[-(13 ^ [] = 13 ^ [])],extension(4,bind([[_13558], [13 ^ []]]))).
% 0.34/1.41  cnf('1.2',plain,[-(relation_inverse_image(14 ^ [], singleton(1 ^ [relation_rng(14 ^ []), 13 ^ []])) = empty_set), relation(14 ^ []), -(in(1 ^ [relation_rng(14 ^ []), 13 ^ []], relation_rng(14 ^ [])))],extension(8,bind([[_25810, _25869], [1 ^ [relation_rng(14 ^ []), 13 ^ []], 14 ^ []]]))).
% 0.34/1.41  cnf('1.2.1',plain,[-(relation(14 ^ []))],extension(1)).
% 0.34/1.41  cnf('1.2.2',plain,[in(1 ^ [relation_rng(14 ^ []), 13 ^ []], relation_rng(14 ^ [])), -(subset(13 ^ [], relation_rng(14 ^ [])))],extension(7,bind([[_20967, _21023], [13 ^ [], relation_rng(14 ^ [])]]))).
% 0.34/1.41  cnf('1.2.2.1',plain,[subset(13 ^ [], relation_rng(14 ^ []))],extension(2)).
% 0.34/1.41  %-----------------------------------------------------
% 0.34/1.41  
% 0.34/1.41  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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