TSTP Solution File: SEU026+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU026+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 11:59:50 EDT 2022
% Result : Theorem 62.15s 60.46s
% Output : Proof 62.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU026+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 09:45:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 62.15/60.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.19/60.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.19/60.47
% 62.19/60.47 %-----------------------------------------------------
% 62.19/60.47 fof(t55_funct_1, axiom, ! [_71164] : (relation(_71164) & function(_71164) => one_to_one(_71164) => relation_rng(_71164) = relation_dom(function_inverse(_71164)) & relation_dom(_71164) = relation_rng(function_inverse(_71164))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t55_funct_1)).
% 62.19/60.47 fof(dt_k2_funct_1, axiom, ! [_71432] : (relation(_71432) & function(_71432) => relation(function_inverse(_71432)) & function(function_inverse(_71432))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k2_funct_1)).
% 62.19/60.47 fof(t59_funct_1, conjecture, ! [_71616] : (relation(_71616) & function(_71616) => one_to_one(_71616) => relation_dom(relation_composition(function_inverse(_71616), _71616)) = relation_rng(_71616) & relation_rng(relation_composition(function_inverse(_71616), _71616)) = relation_rng(_71616)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t59_funct_1)).
% 62.19/60.47 fof(reflexivity_r1_tarski, axiom, ! [_72072, _72075] : subset(_72072, _72072), file('/export/starexec/sandbox/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 62.19/60.47 fof(t46_relat_1, axiom, ! [_72194] : (relation(_72194) => ! [_72209] : (relation(_72209) => subset(relation_rng(_72194), relation_dom(_72209)) => relation_dom(relation_composition(_72194, _72209)) = relation_dom(_72194))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t46_relat_1)).
% 62.19/60.47 fof(t47_relat_1, axiom, ! [_72449] : (relation(_72449) => ! [_72464] : (relation(_72464) => subset(relation_dom(_72449), relation_rng(_72464)) => relation_rng(relation_composition(_72464, _72449)) = relation_rng(_72449))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t47_relat_1)).
% 62.19/60.47
% 62.19/60.47 cnf(1, plain, [-(20 ^ [_35172]), -(relation_dom(_35172) = relation_rng(function_inverse(_35172)))], clausify(t55_funct_1)).
% 62.19/60.47 cnf(2, plain, [-(20 ^ [_35172]), -(relation_rng(_35172) = relation_dom(function_inverse(_35172)))], clausify(t55_funct_1)).
% 62.19/60.47 cnf(3, plain, [-(2 ^ [_25456]), -(relation(function_inverse(_25456)))], clausify(dt_k2_funct_1)).
% 62.19/60.47 cnf(4, plain, [-(relation(21 ^ []))], clausify(t59_funct_1)).
% 62.19/60.47 cnf(5, plain, [-(function(21 ^ []))], clausify(t59_funct_1)).
% 62.19/60.47 cnf(6, plain, [-(one_to_one(21 ^ []))], clausify(t59_funct_1)).
% 62.19/60.47 cnf(7, plain, [relation_dom(relation_composition(function_inverse(21 ^ []), 21 ^ [])) = relation_rng(21 ^ []), relation_rng(relation_composition(function_inverse(21 ^ []), 21 ^ [])) = relation_rng(21 ^ [])], clausify(t59_funct_1)).
% 62.19/60.47 cnf(8, plain, [_22238 = _22287, -(function_inverse(_22238) = function_inverse(_22287))], theory(equality)).
% 62.19/60.47 cnf(9, plain, [_23520 = _23569, -(relation_dom(_23520) = relation_dom(_23569))], theory(equality)).
% 62.19/60.47 cnf(10, plain, [_23839 = _23888, -(relation_rng(_23839) = relation_rng(_23888))], theory(equality)).
% 62.19/60.47 cnf(11, plain, [-(_17703 = _17703)], theory(equality)).
% 62.19/60.47 cnf(12, plain, [_17856 = _17901, -(_17901 = _17856)], theory(equality)).
% 62.19/60.47 cnf(13, plain, [-(_18135 = _18246), _18135 = _18191, _18191 = _18246], theory(equality)).
% 62.19/60.47 cnf(14, plain, [-(subset(_21561, _21692)), subset(_21494, _21627), _21494 = _21561, _21627 = _21692], theory(equality)).
% 62.19/60.47 cnf(15, plain, [2 ^ [_25456], relation(_25456), function(_25456)], clausify(dt_k2_funct_1)).
% 62.19/60.47 cnf(16, plain, [-(subset(_32338, _32338))], clausify(reflexivity_r1_tarski)).
% 62.19/60.47 cnf(17, plain, [relation(_33575), relation(_33679), subset(relation_rng(_33575), relation_dom(_33679)), -(relation_dom(relation_composition(_33575, _33679)) = relation_dom(_33575))], clausify(t46_relat_1)).
% 62.19/60.47 cnf(18, plain, [relation(_34129), relation(_34233), subset(relation_dom(_34129), relation_rng(_34233)), -(relation_rng(relation_composition(_34233, _34129)) = relation_rng(_34129))], clausify(t47_relat_1)).
% 62.19/60.47 cnf(19, plain, [function(_35172), relation(_35172), one_to_one(_35172), 20 ^ [_35172]], clausify(t55_funct_1)).
% 62.19/60.47
% 62.19/60.47 cnf('1',plain,[relation_dom(relation_composition(function_inverse(21 ^ []), 21 ^ [])) = relation_rng(21 ^ []), relation_rng(relation_composition(function_inverse(21 ^ []), 21 ^ [])) = relation_rng(21 ^ [])],start(7)).
% 62.19/60.47 cnf('1.1',plain,[-(relation_dom(relation_composition(function_inverse(21 ^ []), 21 ^ [])) = relation_rng(21 ^ [])), relation_rng(21 ^ []) = relation_dom(relation_composition(function_inverse(21 ^ []), 21 ^ []))],extension(12,bind([[_17856, _17901], [relation_rng(21 ^ []), relation_dom(relation_composition(function_inverse(21 ^ []), 21 ^ []))]]))).
% 62.19/60.47 cnf('1.1.1',plain,[-(relation_rng(21 ^ []) = relation_dom(relation_composition(function_inverse(21 ^ []), 21 ^ []))), relation_rng(21 ^ []) = relation_dom(function_inverse(21 ^ [])), relation_dom(function_inverse(21 ^ [])) = relation_dom(relation_composition(function_inverse(21 ^ []), 21 ^ []))],extension(13,bind([[_18135, _18191, _18246], [relation_rng(21 ^ []), relation_dom(function_inverse(21 ^ [])), relation_dom(relation_composition(function_inverse(21 ^ []), 21 ^ []))]]))).
% 62.19/60.47 cnf('1.1.1.1',plain,[-(relation_rng(21 ^ []) = relation_dom(function_inverse(21 ^ []))), -(20 ^ [21 ^ []])],extension(2,bind([[_35172], [21 ^ []]]))).
% 62.19/60.47 cnf('1.1.1.1.1',plain,[20 ^ [21 ^ []], function(21 ^ []), relation(21 ^ []), one_to_one(21 ^ [])],extension(19,bind([[_35172], [21 ^ []]]))).
% 62.19/60.47 cnf('1.1.1.1.1.1',plain,[-(function(21 ^ []))],extension(5)).
% 62.19/60.47 cnf('1.1.1.1.1.2',plain,[-(relation(21 ^ []))],extension(4)).
% 62.19/60.47 cnf('1.1.1.1.1.3',plain,[-(one_to_one(21 ^ []))],extension(6)).
% 62.19/60.47 cnf('1.1.1.2',plain,[-(relation_dom(function_inverse(21 ^ [])) = relation_dom(relation_composition(function_inverse(21 ^ []), 21 ^ []))), relation_dom(relation_composition(function_inverse(21 ^ []), 21 ^ [])) = relation_dom(function_inverse(21 ^ []))],extension(12,bind([[_17856, _17901], [relation_dom(relation_composition(function_inverse(21 ^ []), 21 ^ [])), relation_dom(function_inverse(21 ^ []))]]))).
% 62.19/60.47 cnf('1.1.1.2.1',plain,[-(relation_dom(relation_composition(function_inverse(21 ^ []), 21 ^ [])) = relation_dom(function_inverse(21 ^ []))), relation(function_inverse(21 ^ [])), relation(21 ^ []), subset(relation_rng(function_inverse(21 ^ [])), relation_dom(21 ^ []))],extension(17,bind([[_33575, _33679], [function_inverse(21 ^ []), 21 ^ []]]))).
% 62.19/60.47 cnf('1.1.1.2.1.1',plain,[-(relation(function_inverse(21 ^ []))), -(2 ^ [21 ^ []])],extension(3,bind([[_25456], [21 ^ []]]))).
% 62.19/60.47 cnf('1.1.1.2.1.1.1',plain,[2 ^ [21 ^ []], relation(21 ^ []), function(21 ^ [])],extension(15,bind([[_25456], [21 ^ []]]))).
% 62.19/60.47 cnf('1.1.1.2.1.1.1.1',plain,[-(relation(21 ^ []))],extension(4)).
% 62.19/60.47 cnf('1.1.1.2.1.1.1.2',plain,[-(function(21 ^ []))],extension(5)).
% 62.19/60.47 cnf('1.1.1.2.1.2',plain,[-(relation(21 ^ []))],extension(4)).
% 62.19/60.47 cnf('1.1.1.2.1.3',plain,[-(subset(relation_rng(function_inverse(21 ^ [])), relation_dom(21 ^ []))), subset(relation_dom(21 ^ []), relation_dom(21 ^ [])), relation_dom(21 ^ []) = relation_rng(function_inverse(21 ^ [])), relation_dom(21 ^ []) = relation_dom(21 ^ [])],extension(14,bind([[_21494, _21561, _21627, _21692], [relation_dom(21 ^ []), relation_rng(function_inverse(21 ^ [])), relation_dom(21 ^ []), relation_dom(21 ^ [])]]))).
% 62.19/60.47 cnf('1.1.1.2.1.3.1',plain,[-(subset(relation_dom(21 ^ []), relation_dom(21 ^ []))), subset(relation_dom(21 ^ []), relation_dom(21 ^ [])), relation_dom(21 ^ []) = relation_dom(21 ^ []), relation_dom(21 ^ []) = relation_dom(21 ^ [])],extension(14,bind([[_21494, _21561, _21627, _21692], [relation_dom(21 ^ []), relation_dom(21 ^ []), relation_dom(21 ^ []), relation_dom(21 ^ [])]]))).
% 62.19/60.47 cnf('1.1.1.2.1.3.1.1',plain,[-(subset(relation_dom(21 ^ []), relation_dom(21 ^ [])))],extension(16,bind([[_32338], [relation_dom(21 ^ [])]]))).
% 62.19/60.47 cnf('1.1.1.2.1.3.1.2',plain,[-(relation_dom(21 ^ []) = relation_dom(21 ^ []))],extension(11,bind([[_17703], [relation_dom(21 ^ [])]]))).
% 62.19/60.47 cnf('1.1.1.2.1.3.1.3',plain,[-(relation_dom(21 ^ []) = relation_dom(21 ^ []))],extension(11,bind([[_17703], [relation_dom(21 ^ [])]]))).
% 62.19/60.47 cnf('1.1.1.2.1.3.2',plain,[-(relation_dom(21 ^ []) = relation_rng(function_inverse(21 ^ []))), -(20 ^ [21 ^ []])],extension(1,bind([[_35172], [21 ^ []]]))).
% 62.19/60.47 cnf('1.1.1.2.1.3.2.1',plain,[20 ^ [21 ^ []], function(21 ^ []), relation(21 ^ []), one_to_one(21 ^ [])],extension(19,bind([[_35172], [21 ^ []]]))).
% 62.19/60.47 cnf('1.1.1.2.1.3.2.1.1',plain,[-(function(21 ^ []))],extension(5)).
% 62.19/60.47 cnf('1.1.1.2.1.3.2.1.2',plain,[-(relation(21 ^ []))],extension(4)).
% 62.19/60.47 cnf('1.1.1.2.1.3.2.1.3',plain,[-(one_to_one(21 ^ []))],extension(6)).
% 62.19/60.47 cnf('1.1.1.2.1.3.3',plain,[-(relation_dom(21 ^ []) = relation_dom(21 ^ [])), 21 ^ [] = 21 ^ []],extension(9,bind([[_23520, _23569], [21 ^ [], 21 ^ []]]))).
% 62.19/60.47 cnf('1.1.1.2.1.3.3.1',plain,[-(21 ^ [] = 21 ^ [])],extension(11,bind([[_17703], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2',plain,[-(relation_rng(relation_composition(function_inverse(21 ^ []), 21 ^ [])) = relation_rng(21 ^ [])), relation(21 ^ []), relation(function_inverse(21 ^ [])), subset(relation_dom(21 ^ []), relation_rng(function_inverse(21 ^ [])))],extension(18,bind([[_34129, _34233], [21 ^ [], function_inverse(21 ^ [])]]))).
% 62.19/60.47 cnf('1.2.1',plain,[-(relation(21 ^ []))],extension(4)).
% 62.19/60.47 cnf('1.2.2',plain,[-(relation(function_inverse(21 ^ []))), -(2 ^ [21 ^ []])],extension(3,bind([[_25456], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2.2.1',plain,[2 ^ [21 ^ []], relation(21 ^ []), function(21 ^ [])],extension(15,bind([[_25456], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2.2.1.1',plain,[-(relation(21 ^ []))],extension(4)).
% 62.19/60.47 cnf('1.2.2.1.2',plain,[-(function(21 ^ []))],extension(5)).
% 62.19/60.47 cnf('1.2.3',plain,[-(subset(relation_dom(21 ^ []), relation_rng(function_inverse(21 ^ [])))), subset(relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ []))), relation_rng(function_inverse(21 ^ [])) = relation_dom(21 ^ []), relation_rng(function_inverse(21 ^ [])) = relation_rng(function_inverse(21 ^ []))],extension(14,bind([[_21494, _21561, _21627, _21692], [relation_rng(function_inverse(21 ^ [])), relation_dom(21 ^ []), relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ []))]]))).
% 62.19/60.47 cnf('1.2.3.1',plain,[-(subset(relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ [])))), subset(relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ []))), relation_rng(function_inverse(21 ^ [])) = relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ [])) = relation_rng(function_inverse(21 ^ []))],extension(14,bind([[_21494, _21561, _21627, _21692], [relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ []))]]))).
% 62.19/60.47 cnf('1.2.3.1.1',plain,[-(subset(relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ [])))), subset(relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ []))), relation_rng(function_inverse(21 ^ [])) = relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ [])) = relation_rng(function_inverse(21 ^ []))],extension(14,bind([[_21494, _21561, _21627, _21692], [relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ []))]]))).
% 62.19/60.47 cnf('1.2.3.1.1.1',plain,[-(subset(relation_rng(function_inverse(21 ^ [])), relation_rng(function_inverse(21 ^ [])))), subset(relation_dom(21 ^ []), relation_dom(21 ^ [])), relation_dom(21 ^ []) = relation_rng(function_inverse(21 ^ [])), relation_dom(21 ^ []) = relation_rng(function_inverse(21 ^ []))],extension(14,bind([[_21494, _21561, _21627, _21692], [relation_dom(21 ^ []), relation_rng(function_inverse(21 ^ [])), relation_dom(21 ^ []), relation_rng(function_inverse(21 ^ []))]]))).
% 62.19/60.47 cnf('1.2.3.1.1.1.1',plain,[-(subset(relation_dom(21 ^ []), relation_dom(21 ^ []))), subset(relation_dom(21 ^ []), relation_dom(21 ^ [])), relation_dom(21 ^ []) = relation_dom(21 ^ []), relation_dom(21 ^ []) = relation_dom(21 ^ [])],extension(14,bind([[_21494, _21561, _21627, _21692], [relation_dom(21 ^ []), relation_dom(21 ^ []), relation_dom(21 ^ []), relation_dom(21 ^ [])]]))).
% 62.19/60.47 cnf('1.2.3.1.1.1.1.1',plain,[-(subset(relation_dom(21 ^ []), relation_dom(21 ^ [])))],extension(16,bind([[_32338], [relation_dom(21 ^ [])]]))).
% 62.19/60.47 cnf('1.2.3.1.1.1.1.2',plain,[-(relation_dom(21 ^ []) = relation_dom(21 ^ []))],extension(11,bind([[_17703], [relation_dom(21 ^ [])]]))).
% 62.19/60.47 cnf('1.2.3.1.1.1.1.3',plain,[-(relation_dom(21 ^ []) = relation_dom(21 ^ []))],extension(11,bind([[_17703], [relation_dom(21 ^ [])]]))).
% 62.19/60.47 cnf('1.2.3.1.1.1.2',plain,[-(relation_dom(21 ^ []) = relation_rng(function_inverse(21 ^ []))), -(20 ^ [21 ^ []])],extension(1,bind([[_35172], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.1.1.1.2.1',plain,[20 ^ [21 ^ []], function(21 ^ []), relation(21 ^ []), one_to_one(21 ^ [])],extension(19,bind([[_35172], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.1.1.1.2.1.1',plain,[-(function(21 ^ []))],extension(5)).
% 62.19/60.47 cnf('1.2.3.1.1.1.2.1.2',plain,[-(relation(21 ^ []))],extension(4)).
% 62.19/60.47 cnf('1.2.3.1.1.1.2.1.3',plain,[-(one_to_one(21 ^ []))],extension(6)).
% 62.19/60.47 cnf('1.2.3.1.1.1.3',plain,[-(relation_dom(21 ^ []) = relation_rng(function_inverse(21 ^ []))), -(20 ^ [21 ^ []])],extension(1,bind([[_35172], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.1.1.1.3.1',plain,[20 ^ [21 ^ []], function(21 ^ []), relation(21 ^ []), one_to_one(21 ^ [])],extension(19,bind([[_35172], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.1.1.1.3.1.1',plain,[-(function(21 ^ []))],extension(5)).
% 62.19/60.47 cnf('1.2.3.1.1.1.3.1.2',plain,[-(relation(21 ^ []))],extension(4)).
% 62.19/60.47 cnf('1.2.3.1.1.1.3.1.3',plain,[-(one_to_one(21 ^ []))],extension(6)).
% 62.19/60.47 cnf('1.2.3.1.1.2',plain,[-(relation_rng(function_inverse(21 ^ [])) = relation_rng(function_inverse(21 ^ []))), function_inverse(21 ^ []) = function_inverse(21 ^ [])],extension(10,bind([[_23839, _23888], [function_inverse(21 ^ []), function_inverse(21 ^ [])]]))).
% 62.19/60.47 cnf('1.2.3.1.1.2.1',plain,[-(function_inverse(21 ^ []) = function_inverse(21 ^ [])), 21 ^ [] = 21 ^ []],extension(8,bind([[_22238, _22287], [21 ^ [], 21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.1.1.2.1.1',plain,[-(21 ^ [] = 21 ^ [])],extension(11,bind([[_17703], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.1.1.3',plain,[-(relation_rng(function_inverse(21 ^ [])) = relation_rng(function_inverse(21 ^ []))), function_inverse(21 ^ []) = function_inverse(21 ^ [])],extension(10,bind([[_23839, _23888], [function_inverse(21 ^ []), function_inverse(21 ^ [])]]))).
% 62.19/60.47 cnf('1.2.3.1.1.3.1',plain,[-(function_inverse(21 ^ []) = function_inverse(21 ^ [])), 21 ^ [] = 21 ^ []],extension(8,bind([[_22238, _22287], [21 ^ [], 21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.1.1.3.1.1',plain,[-(21 ^ [] = 21 ^ [])],extension(11,bind([[_17703], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.1.2',plain,[-(relation_rng(function_inverse(21 ^ [])) = relation_rng(function_inverse(21 ^ []))), function_inverse(21 ^ []) = function_inverse(21 ^ [])],extension(10,bind([[_23839, _23888], [function_inverse(21 ^ []), function_inverse(21 ^ [])]]))).
% 62.19/60.47 cnf('1.2.3.1.2.1',plain,[-(function_inverse(21 ^ []) = function_inverse(21 ^ [])), 21 ^ [] = 21 ^ []],extension(8,bind([[_22238, _22287], [21 ^ [], 21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.1.2.1.1',plain,[-(21 ^ [] = 21 ^ [])],extension(11,bind([[_17703], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.1.3',plain,[-(relation_rng(function_inverse(21 ^ [])) = relation_rng(function_inverse(21 ^ []))), function_inverse(21 ^ []) = function_inverse(21 ^ [])],extension(10,bind([[_23839, _23888], [function_inverse(21 ^ []), function_inverse(21 ^ [])]]))).
% 62.19/60.47 cnf('1.2.3.1.3.1',plain,[-(function_inverse(21 ^ []) = function_inverse(21 ^ [])), 21 ^ [] = 21 ^ []],extension(8,bind([[_22238, _22287], [21 ^ [], 21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.1.3.1.1',plain,[-(21 ^ [] = 21 ^ [])],extension(11,bind([[_17703], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.2',plain,[-(relation_rng(function_inverse(21 ^ [])) = relation_dom(21 ^ [])), relation_dom(21 ^ []) = relation_rng(function_inverse(21 ^ []))],extension(12,bind([[_17856, _17901], [relation_dom(21 ^ []), relation_rng(function_inverse(21 ^ []))]]))).
% 62.19/60.47 cnf('1.2.3.2.1',plain,[-(relation_dom(21 ^ []) = relation_rng(function_inverse(21 ^ []))), -(20 ^ [21 ^ []])],extension(1,bind([[_35172], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.2.1.1',plain,[20 ^ [21 ^ []], function(21 ^ []), relation(21 ^ []), one_to_one(21 ^ [])],extension(19,bind([[_35172], [21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.2.1.1.1',plain,[-(function(21 ^ []))],extension(5)).
% 62.19/60.47 cnf('1.2.3.2.1.1.2',plain,[-(relation(21 ^ []))],extension(4)).
% 62.19/60.47 cnf('1.2.3.2.1.1.3',plain,[-(one_to_one(21 ^ []))],extension(6)).
% 62.19/60.47 cnf('1.2.3.3',plain,[-(relation_rng(function_inverse(21 ^ [])) = relation_rng(function_inverse(21 ^ []))), function_inverse(21 ^ []) = function_inverse(21 ^ [])],extension(10,bind([[_23839, _23888], [function_inverse(21 ^ []), function_inverse(21 ^ [])]]))).
% 62.19/60.47 cnf('1.2.3.3.1',plain,[-(function_inverse(21 ^ []) = function_inverse(21 ^ [])), 21 ^ [] = 21 ^ []],extension(8,bind([[_22238, _22287], [21 ^ [], 21 ^ []]]))).
% 62.19/60.47 cnf('1.2.3.3.1.1',plain,[-(21 ^ [] = 21 ^ [])],extension(11,bind([[_17703], [21 ^ []]]))).
% 62.19/60.47 %-----------------------------------------------------
% 62.19/60.47
% 62.19/60.47 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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