TSTP Solution File: SEU030+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU030+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 11:59:51 EDT 2022
% Result : Theorem 44.96s 43.97s
% Output : Proof 44.96s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU030+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 23:31:18 EDT 2022
% 0.14/0.36 % CPUTime :
% 44.96/43.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.96/43.98 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.96/43.99
% 44.96/43.99 %-----------------------------------------------------
% 44.96/43.99 fof(t61_funct_1, axiom, ! [_63204] : (relation(_63204) & function(_63204) => one_to_one(_63204) => relation_composition(_63204, function_inverse(_63204)) = identity_relation(relation_dom(_63204)) & relation_composition(function_inverse(_63204), _63204) = identity_relation(relation_rng(_63204))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t61_funct_1)).
% 44.96/43.99 fof(t55_funct_1, axiom, ! [_63481] : (relation(_63481) & function(_63481) => one_to_one(_63481) => relation_rng(_63481) = relation_dom(function_inverse(_63481)) & relation_dom(_63481) = relation_rng(function_inverse(_63481))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t55_funct_1)).
% 44.96/43.99 fof(dt_k2_funct_1, axiom, ! [_63738] : (relation(_63738) & function(_63738) => relation(function_inverse(_63738)) & function(function_inverse(_63738))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k2_funct_1)).
% 44.96/43.99 fof(t63_funct_1, conjecture, ! [_63934] : (relation(_63934) & function(_63934) => ! [_63956] : (relation(_63956) & function(_63956) => one_to_one(_63934) & relation_rng(_63934) = relation_dom(_63956) & relation_composition(_63934, _63956) = identity_relation(relation_dom(_63934)) => _63956 = function_inverse(_63934))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t63_funct_1)).
% 44.96/43.99 fof(l72_funct_1, axiom, ! [_64472, _64475] : (relation(_64475) & function(_64475) => ! [_64497] : (relation(_64497) & function(_64497) => ! [_64519] : (relation(_64519) & function(_64519) => relation_rng(_64475) = _64472 & relation_composition(_64475, _64497) = identity_relation(relation_dom(_64519)) & relation_composition(_64497, _64519) = identity_relation(_64472) => _64519 = _64475))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l72_funct_1)).
% 44.96/43.99
% 44.96/43.99 cnf(1, plain, [-(21 ^ [_38536]), -(relation_composition(function_inverse(_38536), _38536) = identity_relation(relation_rng(_38536)))], clausify(t61_funct_1)).
% 44.96/43.99 cnf(2, plain, [-(20 ^ [_37513]), -(relation_dom(_37513) = relation_rng(function_inverse(_37513)))], clausify(t55_funct_1)).
% 44.96/43.99 cnf(3, plain, [-(2 ^ [_27242]), -(function(function_inverse(_27242)))], clausify(dt_k2_funct_1)).
% 44.96/43.99 cnf(4, plain, [-(2 ^ [_27242]), -(relation(function_inverse(_27242)))], clausify(dt_k2_funct_1)).
% 44.96/43.99 cnf(5, plain, [-(relation(22 ^ []))], clausify(t63_funct_1)).
% 44.96/43.99 cnf(6, plain, [-(function(22 ^ []))], clausify(t63_funct_1)).
% 44.96/43.99 cnf(7, plain, [-(relation(23 ^ []))], clausify(t63_funct_1)).
% 44.96/43.99 cnf(8, plain, [-(function(23 ^ []))], clausify(t63_funct_1)).
% 44.96/43.99 cnf(9, plain, [-(one_to_one(22 ^ []))], clausify(t63_funct_1)).
% 44.96/43.99 cnf(10, plain, [-(relation_rng(22 ^ []) = relation_dom(23 ^ []))], clausify(t63_funct_1)).
% 44.96/43.99 cnf(11, plain, [-(relation_composition(22 ^ [], 23 ^ []) = identity_relation(relation_dom(22 ^ [])))], clausify(t63_funct_1)).
% 44.96/43.99 cnf(12, plain, [23 ^ [] = function_inverse(22 ^ [])], clausify(t63_funct_1)).
% 44.96/43.99 cnf(13, plain, [_23680 = _23729, -(function_inverse(_23680) = function_inverse(_23729))], theory(equality)).
% 44.96/43.99 cnf(14, plain, [_24009 = _24058, -(identity_relation(_24009) = identity_relation(_24058))], theory(equality)).
% 44.96/43.99 cnf(15, plain, [_25610 = _25659, -(relation_rng(_25610) = relation_rng(_25659))], theory(equality)).
% 44.96/43.99 cnf(16, plain, [-(_19145 = _19145)], theory(equality)).
% 44.96/43.99 cnf(17, plain, [-(_19577 = _19688), _19577 = _19633, _19633 = _19688], theory(equality)).
% 44.96/43.99 cnf(18, plain, [2 ^ [_27242], relation(_27242), function(_27242)], clausify(dt_k2_funct_1)).
% 44.96/43.99 cnf(19, plain, [function(_32215), relation(_32215), function(_32416), relation(_32416), function(_32606), relation(_32606), -(_32606 = _32215), relation_rng(_32215) = _32104, relation_composition(_32215, _32416) = identity_relation(relation_dom(_32606)), relation_composition(_32416, _32606) = identity_relation(_32104)], clausify(l72_funct_1)).
% 44.96/43.99 cnf(20, plain, [function(_37513), relation(_37513), one_to_one(_37513), 20 ^ [_37513]], clausify(t55_funct_1)).
% 44.96/43.99 cnf(21, plain, [function(_38536), relation(_38536), one_to_one(_38536), 21 ^ [_38536]], clausify(t61_funct_1)).
% 44.96/43.99
% 44.96/43.99 cnf('1',plain,[23 ^ [] = function_inverse(22 ^ [])],start(12)).
% 44.96/43.99 cnf('1.1',plain,[-(23 ^ [] = function_inverse(22 ^ [])), function(function_inverse(22 ^ [])), relation(function_inverse(22 ^ [])), function(22 ^ []), relation(22 ^ []), function(23 ^ []), relation(23 ^ []), relation_rng(function_inverse(22 ^ [])) = relation_rng(function_inverse(22 ^ [])), relation_composition(function_inverse(22 ^ []), 22 ^ []) = identity_relation(relation_dom(23 ^ [])), relation_composition(22 ^ [], 23 ^ []) = identity_relation(relation_rng(function_inverse(22 ^ [])))],extension(19,bind([[_32215, _32416, _32606, _32104], [function_inverse(22 ^ []), 22 ^ [], 23 ^ [], relation_rng(function_inverse(22 ^ []))]]))).
% 44.96/43.99 cnf('1.1.1',plain,[-(function(function_inverse(22 ^ []))), -(2 ^ [22 ^ []])],extension(3,bind([[_27242], [22 ^ []]]))).
% 44.96/43.99 cnf('1.1.1.1',plain,[2 ^ [22 ^ []], relation(22 ^ []), function(22 ^ [])],extension(18,bind([[_27242], [22 ^ []]]))).
% 44.96/43.99 cnf('1.1.1.1.1',plain,[-(relation(22 ^ []))],extension(5)).
% 44.96/43.99 cnf('1.1.1.1.2',plain,[-(function(22 ^ []))],extension(6)).
% 44.96/43.99 cnf('1.1.2',plain,[-(relation(function_inverse(22 ^ []))), -(2 ^ [22 ^ []])],extension(4,bind([[_27242], [22 ^ []]]))).
% 44.96/43.99 cnf('1.1.2.1',plain,[2 ^ [22 ^ []], relation(22 ^ []), function(22 ^ [])],extension(18,bind([[_27242], [22 ^ []]]))).
% 44.96/43.99 cnf('1.1.2.1.1',plain,[-(relation(22 ^ []))],extension(5)).
% 44.96/43.99 cnf('1.1.2.1.2',plain,[-(function(22 ^ []))],extension(6)).
% 44.96/43.99 cnf('1.1.3',plain,[-(function(22 ^ []))],extension(6)).
% 44.96/43.99 cnf('1.1.4',plain,[-(relation(22 ^ []))],extension(5)).
% 44.96/43.99 cnf('1.1.5',plain,[-(function(23 ^ []))],extension(8)).
% 44.96/43.99 cnf('1.1.6',plain,[-(relation(23 ^ []))],extension(7)).
% 44.96/43.99 cnf('1.1.7',plain,[-(relation_rng(function_inverse(22 ^ [])) = relation_rng(function_inverse(22 ^ []))), function_inverse(22 ^ []) = function_inverse(22 ^ [])],extension(15,bind([[_25610, _25659], [function_inverse(22 ^ []), function_inverse(22 ^ [])]]))).
% 44.96/43.99 cnf('1.1.7.1',plain,[-(function_inverse(22 ^ []) = function_inverse(22 ^ [])), 22 ^ [] = 22 ^ []],extension(13,bind([[_23680, _23729], [22 ^ [], 22 ^ []]]))).
% 44.96/43.99 cnf('1.1.7.1.1',plain,[-(22 ^ [] = 22 ^ [])],extension(16,bind([[_19145], [22 ^ []]]))).
% 44.96/43.99 cnf('1.1.8',plain,[-(relation_composition(function_inverse(22 ^ []), 22 ^ []) = identity_relation(relation_dom(23 ^ []))), relation_composition(function_inverse(22 ^ []), 22 ^ []) = identity_relation(relation_rng(22 ^ [])), identity_relation(relation_rng(22 ^ [])) = identity_relation(relation_dom(23 ^ []))],extension(17,bind([[_19577, _19633, _19688], [relation_composition(function_inverse(22 ^ []), 22 ^ []), identity_relation(relation_rng(22 ^ [])), identity_relation(relation_dom(23 ^ []))]]))).
% 44.96/43.99 cnf('1.1.8.1',plain,[-(relation_composition(function_inverse(22 ^ []), 22 ^ []) = identity_relation(relation_rng(22 ^ []))), -(21 ^ [22 ^ []])],extension(1,bind([[_38536], [22 ^ []]]))).
% 44.96/43.99 cnf('1.1.8.1.1',plain,[21 ^ [22 ^ []], function(22 ^ []), relation(22 ^ []), one_to_one(22 ^ [])],extension(21,bind([[_38536], [22 ^ []]]))).
% 44.96/43.99 cnf('1.1.8.1.1.1',plain,[-(function(22 ^ []))],extension(6)).
% 44.96/43.99 cnf('1.1.8.1.1.2',plain,[-(relation(22 ^ []))],extension(5)).
% 44.96/43.99 cnf('1.1.8.1.1.3',plain,[-(one_to_one(22 ^ []))],extension(9)).
% 44.96/43.99 cnf('1.1.8.2',plain,[-(identity_relation(relation_rng(22 ^ [])) = identity_relation(relation_dom(23 ^ []))), relation_rng(22 ^ []) = relation_dom(23 ^ [])],extension(14,bind([[_24009, _24058], [relation_rng(22 ^ []), relation_dom(23 ^ [])]]))).
% 44.96/43.99 cnf('1.1.8.2.1',plain,[-(relation_rng(22 ^ []) = relation_dom(23 ^ []))],extension(10)).
% 44.96/43.99 cnf('1.1.9',plain,[-(relation_composition(22 ^ [], 23 ^ []) = identity_relation(relation_rng(function_inverse(22 ^ [])))), relation_composition(22 ^ [], 23 ^ []) = identity_relation(relation_dom(22 ^ [])), identity_relation(relation_dom(22 ^ [])) = identity_relation(relation_rng(function_inverse(22 ^ [])))],extension(17,bind([[_19577, _19633, _19688], [relation_composition(22 ^ [], 23 ^ []), identity_relation(relation_dom(22 ^ [])), identity_relation(relation_rng(function_inverse(22 ^ [])))]]))).
% 44.96/43.99 cnf('1.1.9.1',plain,[-(relation_composition(22 ^ [], 23 ^ []) = identity_relation(relation_dom(22 ^ [])))],extension(11)).
% 44.96/43.99 cnf('1.1.9.2',plain,[-(identity_relation(relation_dom(22 ^ [])) = identity_relation(relation_rng(function_inverse(22 ^ [])))), relation_dom(22 ^ []) = relation_rng(function_inverse(22 ^ []))],extension(14,bind([[_24009, _24058], [relation_dom(22 ^ []), relation_rng(function_inverse(22 ^ []))]]))).
% 44.96/43.99 cnf('1.1.9.2.1',plain,[-(relation_dom(22 ^ []) = relation_rng(function_inverse(22 ^ []))), -(20 ^ [22 ^ []])],extension(2,bind([[_37513], [22 ^ []]]))).
% 44.96/43.99 cnf('1.1.9.2.1.1',plain,[20 ^ [22 ^ []], function(22 ^ []), relation(22 ^ []), one_to_one(22 ^ [])],extension(20,bind([[_37513], [22 ^ []]]))).
% 44.96/43.99 cnf('1.1.9.2.1.1.1',plain,[-(function(22 ^ []))],extension(6)).
% 44.96/43.99 cnf('1.1.9.2.1.1.2',plain,[-(relation(22 ^ []))],extension(5)).
% 44.96/43.99 cnf('1.1.9.2.1.1.3',plain,[-(one_to_one(22 ^ []))],extension(9)).
% 44.96/43.99 %-----------------------------------------------------
% 44.96/43.99
% 44.96/43.99 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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