TSTP Solution File: SEU032+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU032+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 11:59:52 EDT 2022
% Result : Theorem 51.20s 50.05s
% Output : Proof 51.24s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SEU032+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 19:20:55 EDT 2022
% 0.11/0.33 % CPUTime :
% 51.20/50.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.20/50.05 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.20/50.06
% 51.20/50.06 %-----------------------------------------------------
% 51.20/50.06 fof(t61_funct_1, axiom, ! [_61613] : (relation(_61613) & function(_61613) => one_to_one(_61613) => relation_composition(_61613, function_inverse(_61613)) = identity_relation(relation_dom(_61613)) & relation_composition(function_inverse(_61613), _61613) = identity_relation(relation_rng(_61613))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t61_funct_1)).
% 51.20/50.06 fof(t55_funct_1, axiom, ! [_61890] : (relation(_61890) & function(_61890) => one_to_one(_61890) => relation_rng(_61890) = relation_dom(function_inverse(_61890)) & relation_dom(_61890) = relation_rng(function_inverse(_61890))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t55_funct_1)).
% 51.20/50.06 fof(dt_k2_funct_1, axiom, ! [_62158] : (relation(_62158) & function(_62158) => relation(function_inverse(_62158)) & function(function_inverse(_62158))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_funct_1)).
% 51.20/50.06 fof(t65_funct_1, conjecture, ! [_62354] : (relation(_62354) & function(_62354) => one_to_one(_62354) => function_inverse(function_inverse(_62354)) = _62354), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t65_funct_1)).
% 51.20/50.06 fof(t62_funct_1, axiom, ! [_62708] : (relation(_62708) & function(_62708) => one_to_one(_62708) => one_to_one(function_inverse(_62708))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t62_funct_1)).
% 51.20/50.06 fof(t63_funct_1, axiom, ! [_62880] : (relation(_62880) & function(_62880) => ! [_62902] : (relation(_62902) & function(_62902) => one_to_one(_62880) & relation_rng(_62880) = relation_dom(_62902) & relation_composition(_62880, _62902) = identity_relation(relation_dom(_62880)) => _62902 = function_inverse(_62880))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t63_funct_1)).
% 51.20/50.06
% 51.20/50.06 cnf(1, plain, [-(21 ^ [_36997]), -(relation_composition(function_inverse(_36997), _36997) = identity_relation(relation_rng(_36997)))], clausify(t61_funct_1)).
% 51.20/50.06 cnf(2, plain, [-(20 ^ [_35974]), -(relation_dom(_35974) = relation_rng(function_inverse(_35974)))], clausify(t55_funct_1)).
% 51.20/50.06 cnf(3, plain, [-(20 ^ [_35974]), -(relation_rng(_35974) = relation_dom(function_inverse(_35974)))], clausify(t55_funct_1)).
% 51.20/50.06 cnf(4, plain, [-(2 ^ [_26950]), -(function(function_inverse(_26950)))], clausify(dt_k2_funct_1)).
% 51.20/50.06 cnf(5, plain, [-(2 ^ [_26950]), -(relation(function_inverse(_26950)))], clausify(dt_k2_funct_1)).
% 51.20/50.06 cnf(6, plain, [-(relation(22 ^ []))], clausify(t65_funct_1)).
% 51.20/50.06 cnf(7, plain, [-(function(22 ^ []))], clausify(t65_funct_1)).
% 51.20/50.06 cnf(8, plain, [-(one_to_one(22 ^ []))], clausify(t65_funct_1)).
% 51.20/50.06 cnf(9, plain, [function_inverse(function_inverse(22 ^ [])) = 22 ^ []], clausify(t65_funct_1)).
% 51.20/50.06 cnf(10, plain, [_23717 = _23766, -(identity_relation(_23717) = identity_relation(_23766))], theory(equality)).
% 51.20/50.06 cnf(11, plain, [_19006 = _19051, -(_19051 = _19006)], theory(equality)).
% 51.20/50.06 cnf(12, plain, [-(_19285 = _19396), _19285 = _19341, _19341 = _19396], theory(equality)).
% 51.20/50.06 cnf(13, plain, [2 ^ [_26950], relation(_26950), function(_26950)], clausify(dt_k2_funct_1)).
% 51.20/50.06 cnf(14, plain, [function(_35974), relation(_35974), one_to_one(_35974), 20 ^ [_35974]], clausify(t55_funct_1)).
% 51.20/50.06 cnf(15, plain, [function(_36997), relation(_36997), one_to_one(_36997), 21 ^ [_36997]], clausify(t61_funct_1)).
% 51.20/50.06 cnf(16, plain, [function(_37613), relation(_37613), one_to_one(_37613), -(one_to_one(function_inverse(_37613)))], clausify(t62_funct_1)).
% 51.20/50.06 cnf(17, plain, [function(_37957), relation(_37957), function(_38137), relation(_38137), -(_38137 = function_inverse(_37957)), one_to_one(_37957), relation_rng(_37957) = relation_dom(_38137), relation_composition(_37957, _38137) = identity_relation(relation_dom(_37957))], clausify(t63_funct_1)).
% 51.20/50.06
% 51.20/50.06 cnf('1',plain,[-(function(22 ^ []))],start(7)).
% 51.20/50.06 cnf('1.1',plain,[function(22 ^ []), relation(22 ^ []), one_to_one(22 ^ []), -(one_to_one(function_inverse(22 ^ [])))],extension(16,bind([[_37613], [22 ^ []]]))).
% 51.20/50.06 cnf('1.1.1',plain,[-(relation(22 ^ []))],extension(6)).
% 51.20/50.06 cnf('1.1.2',plain,[-(one_to_one(22 ^ []))],extension(8)).
% 51.20/50.06 cnf('1.1.3',plain,[one_to_one(function_inverse(22 ^ [])), function(function_inverse(22 ^ [])), relation(function_inverse(22 ^ [])), function(22 ^ []), relation(22 ^ []), -(22 ^ [] = function_inverse(function_inverse(22 ^ []))), relation_rng(function_inverse(22 ^ [])) = relation_dom(22 ^ []), relation_composition(function_inverse(22 ^ []), 22 ^ []) = identity_relation(relation_dom(function_inverse(22 ^ [])))],extension(17,bind([[_38137, _37957], [22 ^ [], function_inverse(22 ^ [])]]))).
% 51.20/50.06 cnf('1.1.3.1',plain,[-(function(function_inverse(22 ^ []))), -(2 ^ [22 ^ []])],extension(4,bind([[_26950], [22 ^ []]]))).
% 51.20/50.06 cnf('1.1.3.1.1',plain,[2 ^ [22 ^ []], relation(22 ^ []), function(22 ^ [])],extension(13,bind([[_26950], [22 ^ []]]))).
% 51.20/50.06 cnf('1.1.3.1.1.1',plain,[-(relation(22 ^ []))],extension(6)).
% 51.20/50.06 cnf('1.1.3.1.1.2',plain,[-(function(22 ^ []))],extension(7)).
% 51.20/50.06 cnf('1.1.3.2',plain,[-(relation(function_inverse(22 ^ []))), -(2 ^ [22 ^ []])],extension(5,bind([[_26950], [22 ^ []]]))).
% 51.20/50.06 cnf('1.1.3.2.1',plain,[2 ^ [22 ^ []], relation(22 ^ []), function(22 ^ [])],extension(13,bind([[_26950], [22 ^ []]]))).
% 51.20/50.06 cnf('1.1.3.2.1.1',plain,[-(relation(22 ^ []))],extension(6)).
% 51.20/50.06 cnf('1.1.3.2.1.2',plain,[-(function(22 ^ []))],extension(7)).
% 51.20/50.06 cnf('1.1.3.3',plain,[-(function(22 ^ []))],extension(7)).
% 51.20/50.06 cnf('1.1.3.4',plain,[-(relation(22 ^ []))],extension(6)).
% 51.20/50.06 cnf('1.1.3.5',plain,[22 ^ [] = function_inverse(function_inverse(22 ^ [])), -(function_inverse(function_inverse(22 ^ [])) = 22 ^ [])],extension(11,bind([[_19051, _19006], [function_inverse(function_inverse(22 ^ [])), 22 ^ []]]))).
% 51.20/50.06 cnf('1.1.3.5.1',plain,[function_inverse(function_inverse(22 ^ [])) = 22 ^ []],extension(9)).
% 51.20/50.06 cnf('1.1.3.6',plain,[-(relation_rng(function_inverse(22 ^ [])) = relation_dom(22 ^ [])), relation_dom(22 ^ []) = relation_rng(function_inverse(22 ^ []))],extension(11,bind([[_19006, _19051], [relation_dom(22 ^ []), relation_rng(function_inverse(22 ^ []))]]))).
% 51.20/50.06 cnf('1.1.3.6.1',plain,[-(relation_dom(22 ^ []) = relation_rng(function_inverse(22 ^ []))), -(20 ^ [22 ^ []])],extension(2,bind([[_35974], [22 ^ []]]))).
% 51.20/50.06 cnf('1.1.3.6.1.1',plain,[20 ^ [22 ^ []], function(22 ^ []), relation(22 ^ []), one_to_one(22 ^ [])],extension(14,bind([[_35974], [22 ^ []]]))).
% 51.20/50.06 cnf('1.1.3.6.1.1.1',plain,[-(function(22 ^ []))],extension(7)).
% 51.20/50.06 cnf('1.1.3.6.1.1.2',plain,[-(relation(22 ^ []))],extension(6)).
% 51.20/50.06 cnf('1.1.3.6.1.1.3',plain,[-(one_to_one(22 ^ []))],extension(8)).
% 51.20/50.06 cnf('1.1.3.7',plain,[-(relation_composition(function_inverse(22 ^ []), 22 ^ []) = identity_relation(relation_dom(function_inverse(22 ^ [])))), relation_composition(function_inverse(22 ^ []), 22 ^ []) = identity_relation(relation_rng(22 ^ [])), identity_relation(relation_rng(22 ^ [])) = identity_relation(relation_dom(function_inverse(22 ^ [])))],extension(12,bind([[_19285, _19341, _19396], [relation_composition(function_inverse(22 ^ []), 22 ^ []), identity_relation(relation_rng(22 ^ [])), identity_relation(relation_dom(function_inverse(22 ^ [])))]]))).
% 51.20/50.06 cnf('1.1.3.7.1',plain,[-(relation_composition(function_inverse(22 ^ []), 22 ^ []) = identity_relation(relation_rng(22 ^ []))), -(21 ^ [22 ^ []])],extension(1,bind([[_36997], [22 ^ []]]))).
% 51.20/50.06 cnf('1.1.3.7.1.1',plain,[21 ^ [22 ^ []], function(22 ^ []), relation(22 ^ []), one_to_one(22 ^ [])],extension(15,bind([[_36997], [22 ^ []]]))).
% 51.20/50.06 cnf('1.1.3.7.1.1.1',plain,[-(function(22 ^ []))],extension(7)).
% 51.20/50.06 cnf('1.1.3.7.1.1.2',plain,[-(relation(22 ^ []))],extension(6)).
% 51.20/50.06 cnf('1.1.3.7.1.1.3',plain,[-(one_to_one(22 ^ []))],extension(8)).
% 51.20/50.06 cnf('1.1.3.7.2',plain,[-(identity_relation(relation_rng(22 ^ [])) = identity_relation(relation_dom(function_inverse(22 ^ [])))), relation_rng(22 ^ []) = relation_dom(function_inverse(22 ^ []))],extension(10,bind([[_23717, _23766], [relation_rng(22 ^ []), relation_dom(function_inverse(22 ^ []))]]))).
% 51.20/50.06 cnf('1.1.3.7.2.1',plain,[-(relation_rng(22 ^ []) = relation_dom(function_inverse(22 ^ []))), -(20 ^ [22 ^ []])],extension(3,bind([[_35974], [22 ^ []]]))).
% 51.20/50.06 cnf('1.1.3.7.2.1.1',plain,[20 ^ [22 ^ []], function(22 ^ []), relation(22 ^ []), one_to_one(22 ^ [])],extension(14,bind([[_35974], [22 ^ []]]))).
% 51.20/50.06 cnf('1.1.3.7.2.1.1.1',plain,[-(function(22 ^ []))],extension(7)).
% 51.20/50.06 cnf('1.1.3.7.2.1.1.2',plain,[-(relation(22 ^ []))],extension(6)).
% 51.20/50.06 cnf('1.1.3.7.2.1.1.3',plain,[-(one_to_one(22 ^ []))],extension(8)).
% 51.20/50.06 %-----------------------------------------------------
% 51.20/50.06
% 51.24/50.07 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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