TSTP Solution File: SEU292+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU292+1 : TPTP v8.1.0. Released v3.3.0.
% 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 12:01:44 EDT 2022
% Result : Theorem 144.74s 140.18s
% Output : Proof 144.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU292+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n020.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 : Mon Jun 20 01:42:03 EDT 2022
% 0.11/0.33 % CPUTime :
% 144.74/140.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 144.74/140.19 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 144.74/140.19
% 144.74/140.19 %-----------------------------------------------------
% 144.74/140.19 fof(d1_funct_2, axiom, ! [_77921, _77924, _77927] : (relation_of2_as_subset(_77927, _77921, _77924) => ((_77924 = empty_set => _77921 = empty_set) => (quasi_total(_77927, _77921, _77924) <=> _77921 = relation_dom_as_subset(_77921, _77924, _77927))) & (_77924 = empty_set => _77921 = empty_set | (quasi_total(_77927, _77921, _77924) <=> _77927 = empty_set))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_funct_2)).
% 144.74/140.19 fof(t21_funct_2, conjecture, ! [_78321, _78324, _78327, _78330] : (function(_78330) & quasi_total(_78330, _78321, _78324) & relation_of2_as_subset(_78330, _78321, _78324) => ! [_78371] : (relation(_78371) & function(_78371) => in(_78327, _78321) => _78324 = empty_set | apply(relation_composition(_78330, _78371), _78327) = apply(_78371, apply(_78330, _78327)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_funct_2)).
% 144.74/140.19 fof(cc1_relset_1, axiom, ! [_78876, _78879, _78882] : (element(_78882, powerset(cartesian_product2(_78876, _78879))) => relation(_78882)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_relset_1)).
% 144.74/140.19 fof(dt_m2_relset_1, axiom, ! [_79065, _79068, _79071] : (relation_of2_as_subset(_79071, _79065, _79068) => element(_79071, powerset(cartesian_product2(_79065, _79068)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_m2_relset_1)).
% 144.74/140.19 fof(redefinition_k4_relset_1, axiom, ! [_79303, _79306, _79309] : (relation_of2(_79309, _79303, _79306) => relation_dom_as_subset(_79303, _79306, _79309) = relation_dom(_79309)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k4_relset_1)).
% 144.74/140.19 fof(redefinition_m2_relset_1, axiom, ! [_79495, _79498, _79501] : (relation_of2_as_subset(_79501, _79495, _79498) <=> relation_of2(_79501, _79495, _79498)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_m2_relset_1)).
% 144.74/140.19 fof(t23_funct_1, axiom, ! [_79669, _79672] : (relation(_79672) & function(_79672) => ! [_79694] : (relation(_79694) & function(_79694) => in(_79669, relation_dom(_79672)) => apply(relation_composition(_79672, _79694), _79669) = apply(_79694, apply(_79672, _79669)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t23_funct_1)).
% 144.74/140.19
% 144.74/140.19 cnf(1, plain, [-(3 ^ [_35561, _35463, _35364]), quasi_total(_35561, _35364, _35463), -(_35364 = relation_dom_as_subset(_35364, _35463, _35561))], clausify(d1_funct_2)).
% 144.74/140.19 cnf(2, plain, [-(2 ^ [_35561, _35463, _35364]), -(_35463 = empty_set)], clausify(d1_funct_2)).
% 144.74/140.19 cnf(3, plain, [-(5 ^ [_35561, _35463, _35364]), 2 ^ [_35561, _35463, _35364], 3 ^ [_35561, _35463, _35364]], clausify(d1_funct_2)).
% 144.74/140.19 cnf(4, plain, [-(function(31 ^ []))], clausify(t21_funct_2)).
% 144.74/140.19 cnf(5, plain, [-(quasi_total(31 ^ [], 28 ^ [], 29 ^ []))], clausify(t21_funct_2)).
% 144.74/140.19 cnf(6, plain, [-(relation_of2_as_subset(31 ^ [], 28 ^ [], 29 ^ []))], clausify(t21_funct_2)).
% 144.74/140.19 cnf(7, plain, [-(relation(32 ^ []))], clausify(t21_funct_2)).
% 144.74/140.19 cnf(8, plain, [-(function(32 ^ []))], clausify(t21_funct_2)).
% 144.74/140.19 cnf(9, plain, [-(in(30 ^ [], 28 ^ []))], clausify(t21_funct_2)).
% 144.74/140.19 cnf(10, plain, [29 ^ [] = empty_set], clausify(t21_funct_2)).
% 144.74/140.19 cnf(11, plain, [apply(relation_composition(31 ^ [], 32 ^ []), 30 ^ []) = apply(32 ^ [], apply(31 ^ [], 30 ^ []))], clausify(t21_funct_2)).
% 144.74/140.19 cnf(12, plain, [-(_22442 = _22442)], theory(equality)).
% 144.74/140.19 cnf(13, plain, [-(_22874 = _22985), _22874 = _22930, _22930 = _22985], theory(equality)).
% 144.74/140.19 cnf(14, plain, [-(in(_24699, _24830)), in(_24632, _24765), _24632 = _24699, _24765 = _24830], theory(equality)).
% 144.74/140.19 cnf(15, plain, [element(_34610, powerset(cartesian_product2(_34503, _34557))), -(relation(_34610))], clausify(cc1_relset_1)).
% 144.74/140.19 cnf(16, plain, [relation_of2_as_subset(_35561, _35364, _35463), 5 ^ [_35561, _35463, _35364]], clausify(d1_funct_2)).
% 144.74/140.19 cnf(17, plain, [relation_of2_as_subset(_38542, _38431, _38487), -(element(_38542, powerset(cartesian_product2(_38431, _38487))))], clausify(dt_m2_relset_1)).
% 144.74/140.19 cnf(18, plain, [relation_of2(_47295, _47182, _47239), -(relation_dom_as_subset(_47182, _47239, _47295) = relation_dom(_47295))], clausify(redefinition_k4_relset_1)).
% 144.74/140.19 cnf(19, plain, [relation_of2_as_subset(_47814, _47711, _47763), -(relation_of2(_47814, _47711, _47763))], clausify(redefinition_m2_relset_1)).
% 144.74/140.19 cnf(20, plain, [function(_48790), relation(_48790), function(_48964), relation(_48964), in(_48706, relation_dom(_48790)), -(apply(relation_composition(_48790, _48964), _48706) = apply(_48964, apply(_48790, _48706)))], clausify(t23_funct_1)).
% 144.74/140.19
% 144.74/140.19 cnf('1',plain,[apply(relation_composition(31 ^ [], 32 ^ []), 30 ^ []) = apply(32 ^ [], apply(31 ^ [], 30 ^ []))],start(11)).
% 144.74/140.19 cnf('1.1',plain,[-(apply(relation_composition(31 ^ [], 32 ^ []), 30 ^ []) = apply(32 ^ [], apply(31 ^ [], 30 ^ []))), function(31 ^ []), relation(31 ^ []), function(32 ^ []), relation(32 ^ []), in(30 ^ [], relation_dom(31 ^ []))],extension(20,bind([[_48964, _48706, _48790], [32 ^ [], 30 ^ [], 31 ^ []]]))).
% 144.74/140.19 cnf('1.1.1',plain,[-(function(31 ^ []))],extension(4)).
% 144.74/140.19 cnf('1.1.2',plain,[-(relation(31 ^ [])), element(31 ^ [], powerset(cartesian_product2(28 ^ [], 29 ^ [])))],extension(15,bind([[_34610, _34503, _34557], [31 ^ [], 28 ^ [], 29 ^ []]]))).
% 144.74/140.19 cnf('1.1.2.1',plain,[-(element(31 ^ [], powerset(cartesian_product2(28 ^ [], 29 ^ [])))), relation_of2_as_subset(31 ^ [], 28 ^ [], 29 ^ [])],extension(17,bind([[_38542, _38431, _38487], [31 ^ [], 28 ^ [], 29 ^ []]]))).
% 144.74/140.19 cnf('1.1.2.1.1',plain,[-(relation_of2_as_subset(31 ^ [], 28 ^ [], 29 ^ []))],extension(6)).
% 144.74/140.19 cnf('1.1.3',plain,[-(function(32 ^ []))],extension(8)).
% 144.74/140.19 cnf('1.1.4',plain,[-(relation(32 ^ []))],extension(7)).
% 144.74/140.19 cnf('1.1.5',plain,[-(in(30 ^ [], relation_dom(31 ^ []))), in(30 ^ [], 28 ^ []), 30 ^ [] = 30 ^ [], 28 ^ [] = relation_dom(31 ^ [])],extension(14,bind([[_24632, _24699, _24765, _24830], [30 ^ [], 30 ^ [], 28 ^ [], relation_dom(31 ^ [])]]))).
% 144.74/140.19 cnf('1.1.5.1',plain,[-(in(30 ^ [], 28 ^ []))],extension(9)).
% 144.74/140.19 cnf('1.1.5.2',plain,[-(30 ^ [] = 30 ^ [])],extension(12,bind([[_22442], [30 ^ []]]))).
% 144.74/140.19 cnf('1.1.5.3',plain,[-(28 ^ [] = relation_dom(31 ^ [])), 28 ^ [] = relation_dom_as_subset(28 ^ [], 29 ^ [], 31 ^ []), relation_dom_as_subset(28 ^ [], 29 ^ [], 31 ^ []) = relation_dom(31 ^ [])],extension(13,bind([[_22874, _22930, _22985], [28 ^ [], relation_dom_as_subset(28 ^ [], 29 ^ [], 31 ^ []), relation_dom(31 ^ [])]]))).
% 144.74/140.19 cnf('1.1.5.3.1',plain,[-(28 ^ [] = relation_dom_as_subset(28 ^ [], 29 ^ [], 31 ^ [])), -(3 ^ [31 ^ [], 29 ^ [], 28 ^ []]), quasi_total(31 ^ [], 28 ^ [], 29 ^ [])],extension(1,bind([[_35561, _35364, _35463], [31 ^ [], 28 ^ [], 29 ^ []]]))).
% 144.74/140.19 cnf('1.1.5.3.1.1',plain,[3 ^ [31 ^ [], 29 ^ [], 28 ^ []], -(5 ^ [31 ^ [], 29 ^ [], 28 ^ []]), 2 ^ [31 ^ [], 29 ^ [], 28 ^ []]],extension(3,bind([[_35561, _35463, _35364], [31 ^ [], 29 ^ [], 28 ^ []]]))).
% 144.74/140.19 cnf('1.1.5.3.1.1.1',plain,[5 ^ [31 ^ [], 29 ^ [], 28 ^ []], relation_of2_as_subset(31 ^ [], 28 ^ [], 29 ^ [])],extension(16,bind([[_35561, _35364, _35463], [31 ^ [], 28 ^ [], 29 ^ []]]))).
% 144.74/140.19 cnf('1.1.5.3.1.1.1.1',plain,[-(relation_of2_as_subset(31 ^ [], 28 ^ [], 29 ^ []))],extension(6)).
% 144.74/140.19 cnf('1.1.5.3.1.1.2',plain,[-(2 ^ [31 ^ [], 29 ^ [], 28 ^ []]), -(29 ^ [] = empty_set)],extension(2,bind([[_35561, _35364, _35463], [31 ^ [], 28 ^ [], 29 ^ []]]))).
% 144.74/140.19 cnf('1.1.5.3.1.1.2.1',plain,[29 ^ [] = empty_set],extension(10)).
% 144.74/140.19 cnf('1.1.5.3.1.2',plain,[-(quasi_total(31 ^ [], 28 ^ [], 29 ^ []))],extension(5)).
% 144.74/140.19 cnf('1.1.5.3.2',plain,[-(relation_dom_as_subset(28 ^ [], 29 ^ [], 31 ^ []) = relation_dom(31 ^ [])), relation_of2(31 ^ [], 28 ^ [], 29 ^ [])],extension(18,bind([[_47295, _47182, _47239], [31 ^ [], 28 ^ [], 29 ^ []]]))).
% 144.74/140.19 cnf('1.1.5.3.2.1',plain,[-(relation_of2(31 ^ [], 28 ^ [], 29 ^ [])), relation_of2_as_subset(31 ^ [], 28 ^ [], 29 ^ [])],extension(19,bind([[_47814, _47711, _47763], [31 ^ [], 28 ^ [], 29 ^ []]]))).
% 144.74/140.19 cnf('1.1.5.3.2.1.1',plain,[-(relation_of2_as_subset(31 ^ [], 28 ^ [], 29 ^ []))],extension(6)).
% 144.74/140.19 %-----------------------------------------------------
% 144.74/140.20
% 144.74/140.20 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------