%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n015.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 11:59:50 EDT 2022

% Result   : Theorem 79.04s 76.25s
% Output   : Proof 79.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 20 13:32:15 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 79.04/76.25  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 79.04/76.26  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 79.04/76.26  
% 79.04/76.26  %-----------------------------------------------------
% 79.04/76.26  fof(t60_funct_1, conjecture, ! [_88877] : (relation(_88877) & function(_88877) => ! [_88899] : (relation(_88899) & function(_88899) => one_to_one(_88877) & relation_dom(_88877) = relation_rng(_88899) & relation_rng(_88877) = relation_dom(_88899) & ! [_88956, _88959] : (in(_88956, relation_dom(_88877)) & in(_88959, relation_dom(_88899)) => (apply(_88877, _88956) = _88959 <=> apply(_88899, _88959) = _88956)) => _88899 = function_inverse(_88877))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t60_funct_1)).
% 79.04/76.26  fof(d5_funct_1, axiom, ! [_89568] : (relation(_89568) & function(_89568) => ! [_89590] : (_89590 = relation_rng(_89568) <=> ! [_89608] : (in(_89608, _89590) <=> ? [_89626] : (in(_89626, relation_dom(_89568)) & _89608 = apply(_89568, _89626))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d5_funct_1)).
% 79.04/76.26  fof(t54_funct_1, axiom, ! [_89962] : (relation(_89962) & function(_89962) => one_to_one(_89962) => ! [_89991] : (relation(_89991) & function(_89991) => (_89991 = function_inverse(_89962) <=> relation_dom(_89991) = relation_rng(_89962) & ! [_90037, _90040] : ((in(_90037, relation_rng(_89962)) & _90040 = apply(_89991, _90037) => in(_90040, relation_dom(_89962)) & _90037 = apply(_89962, _90040)) & (in(_90040, relation_dom(_89962)) & _90037 = apply(_89962, _90040) => in(_90037, relation_rng(_89962)) & _90040 = apply(_89991, _90037)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t54_funct_1)).
% 79.04/76.26  
% 79.04/76.26  cnf(1, plain, [-(relation(18 ^ []))], clausify(t60_funct_1)).
% 79.04/76.26  cnf(2, plain, [-(function(18 ^ []))], clausify(t60_funct_1)).
% 79.04/76.26  cnf(3, plain, [-(relation(19 ^ []))], clausify(t60_funct_1)).
% 79.04/76.26  cnf(4, plain, [-(function(19 ^ []))], clausify(t60_funct_1)).
% 79.04/76.26  cnf(5, plain, [19 ^ [] = function_inverse(18 ^ [])], clausify(t60_funct_1)).
% 79.04/76.26  cnf(6, plain, [-(one_to_one(18 ^ []))], clausify(t60_funct_1)).
% 79.04/76.26  cnf(7, plain, [-(relation_dom(18 ^ []) = relation_rng(19 ^ []))], clausify(t60_funct_1)).
% 79.04/76.26  cnf(8, plain, [-(relation_rng(18 ^ []) = relation_dom(19 ^ []))], clausify(t60_funct_1)).
% 79.04/76.26  cnf(9, plain, [in(_44146, relation_dom(19 ^ [])), in(_44141, relation_dom(18 ^ [])), apply(18 ^ [], _44141) = _44146, -(apply(19 ^ [], _44146) = _44141)], clausify(t60_funct_1)).
% 79.04/76.26  cnf(10, plain, [in(_44146, relation_dom(19 ^ [])), in(_44141, relation_dom(18 ^ [])), -(apply(18 ^ [], _44141) = _44146), apply(19 ^ [], _44146) = _44141], clausify(t60_funct_1)).
% 79.04/76.26  cnf(11, plain, [_24102 = _24151, -(relation_rng(_24102) = relation_rng(_24151))], theory(equality)).
% 79.04/76.26  cnf(12, plain, [-(_17966 = _17966)], theory(equality)).
% 79.04/76.26  cnf(13, plain, [_18119 = _18164, -(_18164 = _18119)], theory(equality)).
% 79.04/76.26  cnf(14, plain, [-(in(_20223, _20354)), in(_20156, _20289), _20156 = _20223, _20289 = _20354], theory(equality)).
% 79.04/76.26  cnf(15, plain, [function(_25719), relation(_25719), _25894 = relation_rng(_25719), -(in(_26042, _25894)), in(_26166, relation_dom(_25719)), _26042 = apply(_25719, _26166)], clausify(d5_funct_1)).
% 79.04/76.26  cnf(16, plain, [function(_33240), relation(_33240), one_to_one(_33240), function(_33523), relation(_33523), -(_33523 = function_inverse(_33240)), relation_dom(_33523) = relation_rng(_33240), -(in(15 ^ [_33523, _33240], relation_rng(_33240))), -(in(16 ^ [_33523, _33240], relation_dom(_33240)))], clausify(t54_funct_1)).
% 79.04/76.26  cnf(17, plain, [function(_33240), relation(_33240), one_to_one(_33240), function(_33523), relation(_33523), -(_33523 = function_inverse(_33240)), relation_dom(_33523) = relation_rng(_33240), -(in(15 ^ [_33523, _33240], relation_rng(_33240))), -(15 ^ [_33523, _33240] = apply(_33240, 16 ^ [_33523, _33240]))], clausify(t54_funct_1)).
% 79.04/76.26  cnf(18, plain, [function(_33240), relation(_33240), one_to_one(_33240), function(_33523), relation(_33523), -(_33523 = function_inverse(_33240)), relation_dom(_33523) = relation_rng(_33240), -(16 ^ [_33523, _33240] = apply(_33523, 15 ^ [_33523, _33240])), -(in(16 ^ [_33523, _33240], relation_dom(_33240)))], clausify(t54_funct_1)).
% 79.04/76.26  cnf(19, plain, [function(_33240), relation(_33240), one_to_one(_33240), function(_33523), relation(_33523), -(_33523 = function_inverse(_33240)), relation_dom(_33523) = relation_rng(_33240), -(16 ^ [_33523, _33240] = apply(_33523, 15 ^ [_33523, _33240])), -(15 ^ [_33523, _33240] = apply(_33240, 16 ^ [_33523, _33240]))], clausify(t54_funct_1)).
% 79.04/76.26  cnf(20, plain, [function(_33240), relation(_33240), one_to_one(_33240), function(_33523), relation(_33523), -(_33523 = function_inverse(_33240)), relation_dom(_33523) = relation_rng(_33240), 15 ^ [_33523, _33240] = apply(_33240, 16 ^ [_33523, _33240]), in(16 ^ [_33523, _33240], relation_dom(_33240)), in(15 ^ [_33523, _33240], relation_rng(_33240)), 16 ^ [_33523, _33240] = apply(_33523, 15 ^ [_33523, _33240])], clausify(t54_funct_1)).
% 79.04/76.26  
% 79.04/76.26  cnf('1',plain,[19 ^ [] = function_inverse(18 ^ [])],start(5)).
% 79.04/76.26  cnf('1.1',plain,[-(19 ^ [] = function_inverse(18 ^ [])), function(18 ^ []), relation(18 ^ []), one_to_one(18 ^ []), function(19 ^ []), relation(19 ^ []), relation_dom(19 ^ []) = relation_rng(18 ^ []), -(in(15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ []))), -(in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ [])))],extension(16,bind([[_33523, _33240], [19 ^ [], 18 ^ []]]))).
% 79.04/76.26  cnf('1.1.1',plain,[-(function(18 ^ []))],extension(2)).
% 79.04/76.26  cnf('1.1.2',plain,[-(relation(18 ^ []))],extension(1)).
% 79.04/76.26  cnf('1.1.3',plain,[-(one_to_one(18 ^ []))],extension(6)).
% 79.04/76.26  cnf('1.1.4',plain,[-(function(19 ^ []))],extension(4)).
% 79.04/76.26  cnf('1.1.5',plain,[-(relation(19 ^ []))],extension(3)).
% 79.04/76.26  cnf('1.1.6',plain,[-(relation_dom(19 ^ []) = relation_rng(18 ^ [])), relation_rng(18 ^ []) = relation_dom(19 ^ [])],extension(13,bind([[_18119, _18164], [relation_rng(18 ^ []), relation_dom(19 ^ [])]]))).
% 79.04/76.26  cnf('1.1.6.1',plain,[-(relation_rng(18 ^ []) = relation_dom(19 ^ []))],extension(8)).
% 79.04/76.26  cnf('1.1.7',plain,[in(15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ [])), function(18 ^ []), relation(18 ^ []), one_to_one(18 ^ []), function(19 ^ []), relation(19 ^ []), -(19 ^ [] = function_inverse(18 ^ [])), relation_dom(19 ^ []) = relation_rng(18 ^ []), 15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]), in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ [])), 16 ^ [19 ^ [], 18 ^ []] = apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []])],extension(20,bind([[_33523, _33240], [19 ^ [], 18 ^ []]]))).
% 79.04/76.26  cnf('1.1.7.1',plain,[-(function(18 ^ []))],extension(2)).
% 79.04/76.26  cnf('1.1.7.2',plain,[-(relation(18 ^ []))],extension(1)).
% 79.04/76.26  cnf('1.1.7.3',plain,[-(one_to_one(18 ^ []))],extension(6)).
% 79.04/76.26  cnf('1.1.7.4',plain,[-(function(19 ^ []))],extension(4)).
% 79.04/76.26  cnf('1.1.7.5',plain,[-(relation(19 ^ []))],extension(3)).
% 79.04/76.26  cnf('1.1.7.6',plain,[19 ^ [] = function_inverse(18 ^ [])],extension(5)).
% 79.04/76.26  cnf('1.1.7.7',plain,[-(relation_dom(19 ^ []) = relation_rng(18 ^ []))],lemmata('1.1')).
% 79.04/76.26  cnf('1.1.7.8',plain,[-(15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []])), apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]) = 15 ^ [19 ^ [], 18 ^ []]],extension(13,bind([[_18119, _18164], [apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]), 15 ^ [19 ^ [], 18 ^ []]]]))).
% 79.04/76.26  cnf('1.1.7.8.1',plain,[-(apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]) = 15 ^ [19 ^ [], 18 ^ []]), in(15 ^ [19 ^ [], 18 ^ []], relation_dom(19 ^ [])), in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ [])), apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []]) = 16 ^ [19 ^ [], 18 ^ []]],extension(10,bind([[_44146, _44141], [15 ^ [19 ^ [], 18 ^ []], 16 ^ [19 ^ [], 18 ^ []]]]))).
% 79.04/76.26  cnf('1.1.7.8.1.1',plain,[-(in(15 ^ [19 ^ [], 18 ^ []], relation_dom(19 ^ []))), in(15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ [])), 15 ^ [19 ^ [], 18 ^ []] = 15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ []) = relation_dom(19 ^ [])],extension(14,bind([[_20156, _20223, _20289, _20354], [15 ^ [19 ^ [], 18 ^ []], 15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ []), relation_dom(19 ^ [])]]))).
% 79.04/76.26  cnf('1.1.7.8.1.1.1',plain,[-(in(15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ [])))],reduction('1.1')).
% 79.04/76.26  cnf('1.1.7.8.1.1.2',plain,[-(15 ^ [19 ^ [], 18 ^ []] = 15 ^ [19 ^ [], 18 ^ []])],extension(12,bind([[_17966], [15 ^ [19 ^ [], 18 ^ []]]]))).
% 79.04/76.26  cnf('1.1.7.8.1.1.3',plain,[-(relation_rng(18 ^ []) = relation_dom(19 ^ []))],extension(8)).
% 79.04/76.26  cnf('1.1.7.8.1.2',plain,[-(in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ []))), function(18 ^ []), relation(18 ^ []), one_to_one(18 ^ []), function(19 ^ []), relation(19 ^ []), -(19 ^ [] = function_inverse(18 ^ [])), relation_dom(19 ^ []) = relation_rng(18 ^ []), -(16 ^ [19 ^ [], 18 ^ []] = apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []]))],extension(18,bind([[_33523, _33240], [19 ^ [], 18 ^ []]]))).
% 79.04/76.26  cnf('1.1.7.8.1.2.1',plain,[-(function(18 ^ []))],extension(2)).
% 79.04/76.26  cnf('1.1.7.8.1.2.2',plain,[-(relation(18 ^ []))],extension(1)).
% 79.04/76.26  cnf('1.1.7.8.1.2.3',plain,[-(one_to_one(18 ^ []))],extension(6)).
% 79.04/76.26  cnf('1.1.7.8.1.2.4',plain,[-(function(19 ^ []))],extension(4)).
% 79.04/76.26  cnf('1.1.7.8.1.2.5',plain,[-(relation(19 ^ []))],extension(3)).
% 79.04/76.26  cnf('1.1.7.8.1.2.6',plain,[19 ^ [] = function_inverse(18 ^ [])],extension(5)).
% 79.04/76.26  cnf('1.1.7.8.1.2.7',plain,[-(relation_dom(19 ^ []) = relation_rng(18 ^ []))],lemmata('1.1.7')).
% 79.04/76.26  cnf('1.1.7.8.1.2.8',plain,[16 ^ [19 ^ [], 18 ^ []] = apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []]), function(19 ^ []), relation(19 ^ []), relation_dom(18 ^ []) = relation_rng(19 ^ []), -(in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ []))), in(15 ^ [19 ^ [], 18 ^ []], relation_dom(19 ^ []))],extension(15,bind([[_26042, _25894, _26166, _25719], [16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ []), 15 ^ [19 ^ [], 18 ^ []], 19 ^ []]]))).
% 79.04/76.26  cnf('1.1.7.8.1.2.8.1',plain,[-(function(19 ^ []))],extension(4)).
% 79.04/76.26  cnf('1.1.7.8.1.2.8.2',plain,[-(relation(19 ^ []))],extension(3)).
% 79.04/76.26  cnf('1.1.7.8.1.2.8.3',plain,[-(relation_dom(18 ^ []) = relation_rng(19 ^ []))],extension(7)).
% 79.04/76.26  cnf('1.1.7.8.1.2.8.4',plain,[in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ []))],reduction('1.1.7.8.1')).
% 79.04/76.26  cnf('1.1.7.8.1.2.8.5',plain,[-(in(15 ^ [19 ^ [], 18 ^ []], relation_dom(19 ^ [])))],lemmata('1.1.7.8.1')).
% 79.04/76.26  cnf('1.1.7.8.1.3',plain,[-(apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []]) = 16 ^ [19 ^ [], 18 ^ []]), 16 ^ [19 ^ [], 18 ^ []] = apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []])],extension(13,bind([[_18119, _18164], [16 ^ [19 ^ [], 18 ^ []], apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []])]]))).
% 79.04/76.26  cnf('1.1.7.8.1.3.1',plain,[-(16 ^ [19 ^ [], 18 ^ []] = apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []])), function(18 ^ []), relation(18 ^ []), one_to_one(18 ^ []), function(19 ^ []), relation(19 ^ []), -(19 ^ [] = function_inverse(18 ^ [])), relation_dom(19 ^ []) = relation_rng(18 ^ []), -(15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]))],extension(19,bind([[_33523, _33240], [19 ^ [], 18 ^ []]]))).
% 79.04/76.26  cnf('1.1.7.8.1.3.1.1',plain,[-(function(18 ^ []))],extension(2)).
% 79.04/76.26  cnf('1.1.7.8.1.3.1.2',plain,[-(relation(18 ^ []))],extension(1)).
% 79.04/76.26  cnf('1.1.7.8.1.3.1.3',plain,[-(one_to_one(18 ^ []))],extension(6)).
% 79.04/76.26  cnf('1.1.7.8.1.3.1.4',plain,[-(function(19 ^ []))],extension(4)).
% 79.04/76.26  cnf('1.1.7.8.1.3.1.5',plain,[-(relation(19 ^ []))],extension(3)).
% 79.04/76.26  cnf('1.1.7.8.1.3.1.6',plain,[19 ^ [] = function_inverse(18 ^ [])],extension(5)).
% 79.04/76.26  cnf('1.1.7.8.1.3.1.7',plain,[-(relation_dom(19 ^ []) = relation_rng(18 ^ []))],lemmata('1.1.7')).
% 79.04/76.26  cnf('1.1.7.8.1.3.1.8',plain,[15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []])],reduction('1.1.7')).
% 79.04/76.26  cnf('1.1.7.9',plain,[-(in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ []))), function(18 ^ []), relation(18 ^ []), one_to_one(18 ^ []), function(19 ^ []), relation(19 ^ []), -(19 ^ [] = function_inverse(18 ^ [])), relation_dom(19 ^ []) = relation_rng(18 ^ []), -(16 ^ [19 ^ [], 18 ^ []] = apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []]))],extension(18,bind([[_33523, _33240], [19 ^ [], 18 ^ []]]))).
% 79.04/76.26  cnf('1.1.7.9.1',plain,[-(function(18 ^ []))],extension(2)).
% 79.04/76.26  cnf('1.1.7.9.2',plain,[-(relation(18 ^ []))],extension(1)).
% 79.04/76.26  cnf('1.1.7.9.3',plain,[-(one_to_one(18 ^ []))],extension(6)).
% 79.04/76.26  cnf('1.1.7.9.4',plain,[-(function(19 ^ []))],extension(4)).
% 79.04/76.26  cnf('1.1.7.9.5',plain,[-(relation(19 ^ []))],extension(3)).
% 79.04/76.26  cnf('1.1.7.9.6',plain,[19 ^ [] = function_inverse(18 ^ [])],extension(5)).
% 79.04/76.26  cnf('1.1.7.9.7',plain,[-(relation_dom(19 ^ []) = relation_rng(18 ^ []))],lemmata('1.1.7')).
% 79.04/76.26  cnf('1.1.7.9.8',plain,[16 ^ [19 ^ [], 18 ^ []] = apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []]), function(19 ^ []), relation(19 ^ []), relation_dom(18 ^ []) = relation_rng(19 ^ []), -(in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ []))), in(15 ^ [19 ^ [], 18 ^ []], relation_dom(19 ^ []))],extension(15,bind([[_26042, _25894, _26166, _25719], [16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ []), 15 ^ [19 ^ [], 18 ^ []], 19 ^ []]]))).
% 79.04/76.26  cnf('1.1.7.9.8.1',plain,[-(function(19 ^ []))],extension(4)).
% 79.04/76.26  cnf('1.1.7.9.8.2',plain,[-(relation(19 ^ []))],extension(3)).
% 79.04/76.26  cnf('1.1.7.9.8.3',plain,[-(relation_dom(18 ^ []) = relation_rng(19 ^ []))],extension(7)).
% 79.04/76.26  cnf('1.1.7.9.8.4',plain,[in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ []))],reduction('1.1.7')).
% 79.04/76.26  cnf('1.1.7.9.8.5',plain,[-(in(15 ^ [19 ^ [], 18 ^ []], relation_dom(19 ^ []))), in(15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ [])), 15 ^ [19 ^ [], 18 ^ []] = 15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ []) = relation_dom(19 ^ [])],extension(14,bind([[_20156, _20223, _20289, _20354], [15 ^ [19 ^ [], 18 ^ []], 15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ []), relation_dom(19 ^ [])]]))).
% 79.04/76.26  cnf('1.1.7.9.8.5.1',plain,[-(in(15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ [])))],reduction('1.1')).
% 79.04/76.26  cnf('1.1.7.9.8.5.2',plain,[-(15 ^ [19 ^ [], 18 ^ []] = 15 ^ [19 ^ [], 18 ^ []])],extension(12,bind([[_17966], [15 ^ [19 ^ [], 18 ^ []]]]))).
% 79.04/76.26  cnf('1.1.7.9.8.5.3',plain,[-(relation_rng(18 ^ []) = relation_dom(19 ^ []))],extension(8)).
% 79.04/76.26  cnf('1.1.7.10',plain,[-(16 ^ [19 ^ [], 18 ^ []] = apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []])), apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []]) = 16 ^ [19 ^ [], 18 ^ []]],extension(13,bind([[_18119, _18164], [apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []]), 16 ^ [19 ^ [], 18 ^ []]]]))).
% 79.04/76.26  cnf('1.1.7.10.1',plain,[-(apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []]) = 16 ^ [19 ^ [], 18 ^ []]), in(15 ^ [19 ^ [], 18 ^ []], relation_dom(19 ^ [])), in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ [])), apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]) = 15 ^ [19 ^ [], 18 ^ []]],extension(9,bind([[_44141, _44146], [16 ^ [19 ^ [], 18 ^ []], 15 ^ [19 ^ [], 18 ^ []]]]))).
% 79.04/76.26  cnf('1.1.7.10.1.1',plain,[-(in(15 ^ [19 ^ [], 18 ^ []], relation_dom(19 ^ []))), in(15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ [])), 15 ^ [19 ^ [], 18 ^ []] = 15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ []) = relation_dom(19 ^ [])],extension(14,bind([[_20156, _20223, _20289, _20354], [15 ^ [19 ^ [], 18 ^ []], 15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ []), relation_dom(19 ^ [])]]))).
% 79.04/76.27  cnf('1.1.7.10.1.1.1',plain,[-(in(15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ [])))],reduction('1.1')).
% 79.04/76.27  cnf('1.1.7.10.1.1.2',plain,[-(15 ^ [19 ^ [], 18 ^ []] = 15 ^ [19 ^ [], 18 ^ []])],extension(12,bind([[_17966], [15 ^ [19 ^ [], 18 ^ []]]]))).
% 79.04/76.27  cnf('1.1.7.10.1.1.3',plain,[-(relation_rng(18 ^ []) = relation_dom(19 ^ []))],extension(8)).
% 79.04/76.27  cnf('1.1.7.10.1.2',plain,[-(in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ [])))],lemmata('1.1.7')).
% 79.04/76.27  cnf('1.1.7.10.1.3',plain,[-(apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]) = 15 ^ [19 ^ [], 18 ^ []]), 15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []])],extension(13,bind([[_18119, _18164], [15 ^ [19 ^ [], 18 ^ []], apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []])]]))).
% 79.04/76.27  cnf('1.1.7.10.1.3.1',plain,[-(15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]))],lemmata('1.1.7')).
% 79.04/76.27  cnf('1.1.8',plain,[in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ [])), function(18 ^ []), relation(18 ^ []), one_to_one(18 ^ []), function(19 ^ []), relation(19 ^ []), -(19 ^ [] = function_inverse(18 ^ [])), relation_dom(19 ^ []) = relation_rng(18 ^ []), 15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]), in(15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ [])), 16 ^ [19 ^ [], 18 ^ []] = apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []])],extension(20,bind([[_33523, _33240], [19 ^ [], 18 ^ []]]))).
% 79.04/76.27  cnf('1.1.8.1',plain,[-(function(18 ^ []))],extension(2)).
% 79.04/76.27  cnf('1.1.8.2',plain,[-(relation(18 ^ []))],extension(1)).
% 79.04/76.27  cnf('1.1.8.3',plain,[-(one_to_one(18 ^ []))],extension(6)).
% 79.04/76.27  cnf('1.1.8.4',plain,[-(function(19 ^ []))],extension(4)).
% 79.04/76.27  cnf('1.1.8.5',plain,[-(relation(19 ^ []))],extension(3)).
% 79.04/76.27  cnf('1.1.8.6',plain,[19 ^ [] = function_inverse(18 ^ [])],extension(5)).
% 79.04/76.27  cnf('1.1.8.7',plain,[-(relation_dom(19 ^ []) = relation_rng(18 ^ []))],lemmata('1.1')).
% 79.04/76.27  cnf('1.1.8.8',plain,[-(15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []])), function(18 ^ []), relation(18 ^ []), one_to_one(18 ^ []), function(19 ^ []), relation(19 ^ []), -(19 ^ [] = function_inverse(18 ^ [])), relation_dom(19 ^ []) = relation_rng(18 ^ []), -(in(15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ [])))],extension(17,bind([[_33523, _33240], [19 ^ [], 18 ^ []]]))).
% 79.04/76.27  cnf('1.1.8.8.1',plain,[-(function(18 ^ []))],extension(2)).
% 79.04/76.27  cnf('1.1.8.8.2',plain,[-(relation(18 ^ []))],extension(1)).
% 79.04/76.27  cnf('1.1.8.8.3',plain,[-(one_to_one(18 ^ []))],extension(6)).
% 79.04/76.27  cnf('1.1.8.8.4',plain,[-(function(19 ^ []))],extension(4)).
% 79.04/76.27  cnf('1.1.8.8.5',plain,[-(relation(19 ^ []))],extension(3)).
% 79.04/76.27  cnf('1.1.8.8.6',plain,[19 ^ [] = function_inverse(18 ^ [])],extension(5)).
% 79.04/76.27  cnf('1.1.8.8.7',plain,[-(relation_dom(19 ^ []) = relation_rng(18 ^ []))],lemmata('1.1.8')).
% 79.04/76.27  cnf('1.1.8.8.8',plain,[in(15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ []))],lemmata('1.1')).
% 79.04/76.27  cnf('1.1.8.9',plain,[-(in(15 ^ [19 ^ [], 18 ^ []], relation_rng(18 ^ []))), function(18 ^ []), relation(18 ^ []), relation_rng(18 ^ []) = relation_rng(18 ^ []), in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ [])), 15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []])],extension(15,bind([[_25894, _26042, _25719, _26166], [relation_rng(18 ^ []), 15 ^ [19 ^ [], 18 ^ []], 18 ^ [], 16 ^ [19 ^ [], 18 ^ []]]]))).
% 79.04/76.27  cnf('1.1.8.9.1',plain,[-(function(18 ^ []))],extension(2)).
% 79.04/76.27  cnf('1.1.8.9.2',plain,[-(relation(18 ^ []))],extension(1)).
% 79.04/76.27  cnf('1.1.8.9.3',plain,[-(relation_rng(18 ^ []) = relation_rng(18 ^ [])), 18 ^ [] = 18 ^ []],extension(11,bind([[_24102, _24151], [18 ^ [], 18 ^ []]]))).
% 79.04/76.27  cnf('1.1.8.9.3.1',plain,[-(18 ^ [] = 18 ^ [])],extension(12,bind([[_17966], [18 ^ []]]))).
% 79.04/76.27  cnf('1.1.8.9.4',plain,[-(in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ [])))],reduction('1.1')).
% 79.04/76.27  cnf('1.1.8.9.5',plain,[-(15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]))],lemmata('1.1.8')).
% 79.04/76.27  cnf('1.1.8.10',plain,[-(16 ^ [19 ^ [], 18 ^ []] = apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []])), apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []]) = 16 ^ [19 ^ [], 18 ^ []]],extension(13,bind([[_18119, _18164], [apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []]), 16 ^ [19 ^ [], 18 ^ []]]]))).
% 79.04/76.27  cnf('1.1.8.10.1',plain,[-(apply(19 ^ [], 15 ^ [19 ^ [], 18 ^ []]) = 16 ^ [19 ^ [], 18 ^ []]), in(15 ^ [19 ^ [], 18 ^ []], relation_dom(19 ^ [])), in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ [])), apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]) = 15 ^ [19 ^ [], 18 ^ []]],extension(9,bind([[_44141, _44146], [16 ^ [19 ^ [], 18 ^ []], 15 ^ [19 ^ [], 18 ^ []]]]))).
% 79.04/76.27  cnf('1.1.8.10.1.1',plain,[-(in(15 ^ [19 ^ [], 18 ^ []], relation_dom(19 ^ []))), function(18 ^ []), relation(18 ^ []), relation_dom(19 ^ []) = relation_rng(18 ^ []), in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ [])), 15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []])],extension(15,bind([[_25894, _26042, _25719, _26166], [relation_dom(19 ^ []), 15 ^ [19 ^ [], 18 ^ []], 18 ^ [], 16 ^ [19 ^ [], 18 ^ []]]]))).
% 79.04/76.27  cnf('1.1.8.10.1.1.1',plain,[-(function(18 ^ []))],extension(2)).
% 79.04/76.27  cnf('1.1.8.10.1.1.2',plain,[-(relation(18 ^ []))],extension(1)).
% 79.04/76.27  cnf('1.1.8.10.1.1.3',plain,[-(relation_dom(19 ^ []) = relation_rng(18 ^ []))],lemmata('1.1.8')).
% 79.04/76.27  cnf('1.1.8.10.1.1.4',plain,[-(in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ [])))],reduction('1.1')).
% 79.04/76.27  cnf('1.1.8.10.1.1.5',plain,[-(15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]))],lemmata('1.1.8')).
% 79.04/76.27  cnf('1.1.8.10.1.2',plain,[-(in(16 ^ [19 ^ [], 18 ^ []], relation_dom(18 ^ [])))],reduction('1.1')).
% 79.04/76.27  cnf('1.1.8.10.1.3',plain,[-(apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]) = 15 ^ [19 ^ [], 18 ^ []]), 15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []])],extension(13,bind([[_18119, _18164], [15 ^ [19 ^ [], 18 ^ []], apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []])]]))).
% 79.04/76.27  cnf('1.1.8.10.1.3.1',plain,[-(15 ^ [19 ^ [], 18 ^ []] = apply(18 ^ [], 16 ^ [19 ^ [], 18 ^ []]))],lemmata('1.1.8')).
% 79.04/76.27  %-----------------------------------------------------
% 79.04/76.27  
% 79.04/76.27  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------