TSTP Solution File: SEU290+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU290+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 12:01:43 EDT 2022
% Result : Theorem 53.71s 52.06s
% Output : Proof 53.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU290+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n018.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 : Sat Jun 18 23:24:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 53.71/52.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 53.71/52.06 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 53.71/52.07
% 53.71/52.07 %-----------------------------------------------------
% 53.71/52.07 fof(d5_funct_1, axiom, ! [_77178] : (relation(_77178) & function(_77178) => ! [_77200] : (_77200 = relation_rng(_77178) <=> ! [_77218] : (in(_77218, _77200) <=> ? [_77236] : (in(_77236, relation_dom(_77178)) & _77218 = apply(_77178, _77236))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d5_funct_1)).
% 53.71/52.07 fof(d1_funct_2, axiom, ! [_77543, _77546, _77549] : (relation_of2_as_subset(_77549, _77543, _77546) => ((_77546 = empty_set => _77543 = empty_set) => (quasi_total(_77549, _77543, _77546) <=> _77543 = relation_dom_as_subset(_77543, _77546, _77549))) & (_77546 = empty_set => _77543 = empty_set | (quasi_total(_77549, _77543, _77546) <=> _77549 = empty_set))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_funct_2)).
% 53.71/52.07 fof(t6_funct_2, conjecture, ! [_77945, _77948, _77951, _77954] : (function(_77954) & quasi_total(_77954, _77945, _77948) & relation_of2_as_subset(_77954, _77945, _77948) => in(_77951, _77945) => _77948 = empty_set | in(apply(_77954, _77951), relation_rng(_77954))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t6_funct_2)).
% 53.71/52.07 fof(cc1_relset_1, axiom, ! [_78391, _78394, _78397] : (element(_78397, powerset(cartesian_product2(_78391, _78394))) => relation(_78397)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc1_relset_1)).
% 53.71/52.07 fof(dt_m2_relset_1, axiom, ! [_78591, _78594, _78597] : (relation_of2_as_subset(_78597, _78591, _78594) => element(_78597, powerset(cartesian_product2(_78591, _78594)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_m2_relset_1)).
% 53.71/52.07 fof(redefinition_k4_relset_1, axiom, ! [_78828, _78831, _78834] : (relation_of2(_78834, _78828, _78831) => relation_dom_as_subset(_78828, _78831, _78834) = relation_dom(_78834)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', redefinition_k4_relset_1)).
% 53.71/52.07 fof(redefinition_m2_relset_1, axiom, ! [_79020, _79023, _79026] : (relation_of2_as_subset(_79026, _79020, _79023) <=> relation_of2(_79026, _79020, _79023)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', redefinition_m2_relset_1)).
% 53.71/52.07
% 53.71/52.07 cnf(1, plain, [-(8 ^ [_34918, _34743]), -(in(_35066, _34918)), in(_35190, relation_dom(_34743)), _35066 = apply(_34743, _35190)], clausify(d5_funct_1)).
% 53.71/52.07 cnf(2, plain, [-(13 ^ [_34743]), _34918 = relation_rng(_34743), 8 ^ [_34918, _34743]], clausify(d5_funct_1)).
% 53.71/52.07 cnf(3, plain, [-(3 ^ [_33703, _33605, _33506]), quasi_total(_33703, _33506, _33605), -(_33506 = relation_dom_as_subset(_33506, _33605, _33703))], clausify(d1_funct_2)).
% 53.71/52.07 cnf(4, plain, [-(2 ^ [_33703, _33605, _33506]), -(_33605 = empty_set)], clausify(d1_funct_2)).
% 53.71/52.07 cnf(5, plain, [-(5 ^ [_33703, _33605, _33506]), 2 ^ [_33703, _33605, _33506], 3 ^ [_33703, _33605, _33506]], clausify(d1_funct_2)).
% 53.71/52.07 cnf(6, plain, [-(function(37 ^ []))], clausify(t6_funct_2)).
% 53.71/52.07 cnf(7, plain, [-(quasi_total(37 ^ [], 34 ^ [], 35 ^ []))], clausify(t6_funct_2)).
% 53.71/52.07 cnf(8, plain, [-(relation_of2_as_subset(37 ^ [], 34 ^ [], 35 ^ []))], clausify(t6_funct_2)).
% 53.71/52.07 cnf(9, plain, [-(in(36 ^ [], 34 ^ []))], clausify(t6_funct_2)).
% 53.71/52.07 cnf(10, plain, [35 ^ [] = empty_set], clausify(t6_funct_2)).
% 53.71/52.07 cnf(11, plain, [in(apply(37 ^ [], 36 ^ []), relation_rng(37 ^ []))], clausify(t6_funct_2)).
% 53.71/52.07 cnf(12, plain, [-(apply(_28534, _28667) = apply(_28601, _28732)), _28534 = _28601, _28667 = _28732], theory(equality)).
% 53.71/52.07 cnf(13, plain, [_31455 = _31504, -(relation_rng(_31455) = relation_rng(_31504))], theory(equality)).
% 53.71/52.07 cnf(14, plain, [-(_20879 = _20879)], theory(equality)).
% 53.71/52.07 cnf(15, plain, [-(_21311 = _21422), _21311 = _21367, _21367 = _21422], theory(equality)).
% 53.71/52.07 cnf(16, plain, [-(in(_23136, _23267)), in(_23069, _23202), _23069 = _23136, _23202 = _23267], theory(equality)).
% 53.71/52.07 cnf(17, plain, [element(_32752, powerset(cartesian_product2(_32645, _32699))), -(relation(_32752))], clausify(cc1_relset_1)).
% 53.71/52.07 cnf(18, plain, [relation_of2_as_subset(_33703, _33506, _33605), 5 ^ [_33703, _33605, _33506]], clausify(d1_funct_2)).
% 53.71/52.07 cnf(19, plain, [function(_34743), relation(_34743), 13 ^ [_34743]], clausify(d5_funct_1)).
% 53.71/52.07 cnf(20, plain, [relation_of2_as_subset(_37284, _37173, _37229), -(element(_37284, powerset(cartesian_product2(_37173, _37229))))], clausify(dt_m2_relset_1)).
% 53.71/52.07 cnf(21, plain, [relation_of2(_45109, _44996, _45053), -(relation_dom_as_subset(_44996, _45053, _45109) = relation_dom(_45109))], clausify(redefinition_k4_relset_1)).
% 53.71/52.07 cnf(22, plain, [relation_of2_as_subset(_45628, _45525, _45577), -(relation_of2(_45628, _45525, _45577))], clausify(redefinition_m2_relset_1)).
% 53.71/52.07
% 53.71/52.07 cnf('1',plain,[-(in(36 ^ [], 34 ^ []))],start(9)).
% 53.71/52.07 cnf('1.1',plain,[in(36 ^ [], 34 ^ []), -(in(36 ^ [], relation_dom(37 ^ []))), 36 ^ [] = 36 ^ [], 34 ^ [] = relation_dom(37 ^ [])],extension(16,bind([[_23069, _23136, _23202, _23267], [36 ^ [], 36 ^ [], 34 ^ [], relation_dom(37 ^ [])]]))).
% 53.71/52.07 cnf('1.1.1',plain,[in(36 ^ [], relation_dom(37 ^ [])), -(8 ^ [relation_rng(37 ^ []), 37 ^ []]), -(in(apply(37 ^ [], 36 ^ []), relation_rng(37 ^ []))), apply(37 ^ [], 36 ^ []) = apply(37 ^ [], 36 ^ [])],extension(1,bind([[_34918, _35066, _34743, _35190], [relation_rng(37 ^ []), apply(37 ^ [], 36 ^ []), 37 ^ [], 36 ^ []]]))).
% 53.71/52.07 cnf('1.1.1.1',plain,[8 ^ [relation_rng(37 ^ []), 37 ^ []], -(13 ^ [37 ^ []]), relation_rng(37 ^ []) = relation_rng(37 ^ [])],extension(2,bind([[_34918, _34743], [relation_rng(37 ^ []), 37 ^ []]]))).
% 53.71/52.07 cnf('1.1.1.1.1',plain,[13 ^ [37 ^ []], function(37 ^ []), relation(37 ^ [])],extension(19,bind([[_34743], [37 ^ []]]))).
% 53.71/52.07 cnf('1.1.1.1.1.1',plain,[-(function(37 ^ []))],extension(6)).
% 53.71/52.07 cnf('1.1.1.1.1.2',plain,[-(relation(37 ^ [])), element(37 ^ [], powerset(cartesian_product2(34 ^ [], 35 ^ [])))],extension(17,bind([[_32752, _32645, _32699], [37 ^ [], 34 ^ [], 35 ^ []]]))).
% 53.71/52.07 cnf('1.1.1.1.1.2.1',plain,[-(element(37 ^ [], powerset(cartesian_product2(34 ^ [], 35 ^ [])))), relation_of2_as_subset(37 ^ [], 34 ^ [], 35 ^ [])],extension(20,bind([[_37284, _37173, _37229], [37 ^ [], 34 ^ [], 35 ^ []]]))).
% 53.71/52.07 cnf('1.1.1.1.1.2.1.1',plain,[-(relation_of2_as_subset(37 ^ [], 34 ^ [], 35 ^ []))],extension(8)).
% 53.71/52.07 cnf('1.1.1.1.2',plain,[-(relation_rng(37 ^ []) = relation_rng(37 ^ [])), 37 ^ [] = 37 ^ []],extension(13,bind([[_31455, _31504], [37 ^ [], 37 ^ []]]))).
% 53.71/52.07 cnf('1.1.1.1.2.1',plain,[-(37 ^ [] = 37 ^ [])],extension(14,bind([[_20879], [37 ^ []]]))).
% 53.71/52.07 cnf('1.1.1.2',plain,[in(apply(37 ^ [], 36 ^ []), relation_rng(37 ^ []))],extension(11)).
% 53.71/52.07 cnf('1.1.1.3',plain,[-(apply(37 ^ [], 36 ^ []) = apply(37 ^ [], 36 ^ [])), 37 ^ [] = 37 ^ [], 36 ^ [] = 36 ^ []],extension(12,bind([[_28534, _28601, _28667, _28732], [37 ^ [], 37 ^ [], 36 ^ [], 36 ^ []]]))).
% 53.71/52.07 cnf('1.1.1.3.1',plain,[-(37 ^ [] = 37 ^ [])],extension(14,bind([[_20879], [37 ^ []]]))).
% 53.71/52.07 cnf('1.1.1.3.2',plain,[-(36 ^ [] = 36 ^ [])],extension(14,bind([[_20879], [36 ^ []]]))).
% 53.71/52.07 cnf('1.1.2',plain,[-(36 ^ [] = 36 ^ [])],extension(14,bind([[_20879], [36 ^ []]]))).
% 53.71/52.07 cnf('1.1.3',plain,[-(34 ^ [] = relation_dom(37 ^ [])), 34 ^ [] = relation_dom_as_subset(34 ^ [], 35 ^ [], 37 ^ []), relation_dom_as_subset(34 ^ [], 35 ^ [], 37 ^ []) = relation_dom(37 ^ [])],extension(15,bind([[_21311, _21367, _21422], [34 ^ [], relation_dom_as_subset(34 ^ [], 35 ^ [], 37 ^ []), relation_dom(37 ^ [])]]))).
% 53.71/52.07 cnf('1.1.3.1',plain,[-(34 ^ [] = relation_dom_as_subset(34 ^ [], 35 ^ [], 37 ^ [])), -(3 ^ [37 ^ [], 35 ^ [], 34 ^ []]), quasi_total(37 ^ [], 34 ^ [], 35 ^ [])],extension(3,bind([[_33703, _33506, _33605], [37 ^ [], 34 ^ [], 35 ^ []]]))).
% 53.71/52.07 cnf('1.1.3.1.1',plain,[3 ^ [37 ^ [], 35 ^ [], 34 ^ []], -(5 ^ [37 ^ [], 35 ^ [], 34 ^ []]), 2 ^ [37 ^ [], 35 ^ [], 34 ^ []]],extension(5,bind([[_33703, _33605, _33506], [37 ^ [], 35 ^ [], 34 ^ []]]))).
% 53.71/52.07 cnf('1.1.3.1.1.1',plain,[5 ^ [37 ^ [], 35 ^ [], 34 ^ []], relation_of2_as_subset(37 ^ [], 34 ^ [], 35 ^ [])],extension(18,bind([[_33703, _33506, _33605], [37 ^ [], 34 ^ [], 35 ^ []]]))).
% 53.71/52.07 cnf('1.1.3.1.1.1.1',plain,[-(relation_of2_as_subset(37 ^ [], 34 ^ [], 35 ^ []))],extension(8)).
% 53.71/52.07 cnf('1.1.3.1.1.2',plain,[-(2 ^ [37 ^ [], 35 ^ [], 34 ^ []]), -(35 ^ [] = empty_set)],extension(4,bind([[_33703, _33506, _33605], [37 ^ [], 34 ^ [], 35 ^ []]]))).
% 53.71/52.07 cnf('1.1.3.1.1.2.1',plain,[35 ^ [] = empty_set],extension(10)).
% 53.71/52.07 cnf('1.1.3.1.2',plain,[-(quasi_total(37 ^ [], 34 ^ [], 35 ^ []))],extension(7)).
% 53.71/52.07 cnf('1.1.3.2',plain,[-(relation_dom_as_subset(34 ^ [], 35 ^ [], 37 ^ []) = relation_dom(37 ^ [])), relation_of2(37 ^ [], 34 ^ [], 35 ^ [])],extension(21,bind([[_45109, _44996, _45053], [37 ^ [], 34 ^ [], 35 ^ []]]))).
% 53.71/52.07 cnf('1.1.3.2.1',plain,[-(relation_of2(37 ^ [], 34 ^ [], 35 ^ [])), relation_of2_as_subset(37 ^ [], 34 ^ [], 35 ^ [])],extension(22,bind([[_45628, _45525, _45577], [37 ^ [], 34 ^ [], 35 ^ []]]))).
% 53.71/52.07 cnf('1.1.3.2.1.1',plain,[-(relation_of2_as_subset(37 ^ [], 34 ^ [], 35 ^ []))],extension(8)).
% 53.71/52.07 %-----------------------------------------------------
% 53.71/52.07
% 53.71/52.08 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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