TSTP Solution File: SEU215+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU215+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n014.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 12:01:05 EDT 2022
% Result : Theorem 0.39s 1.43s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU215+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 19 10:42:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.39/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.44
% 0.39/1.44 %-----------------------------------------------------
% 0.39/1.44 fof(t23_funct_1, conjecture, ! [_60616, _60619] : (relation(_60619) & function(_60619) => ! [_60641] : (relation(_60641) & function(_60641) => in(_60616, relation_dom(_60619)) => apply(relation_composition(_60619, _60641), _60616) = apply(_60641, apply(_60619, _60616)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t23_funct_1)).
% 0.39/1.44 fof(d4_funct_1, axiom, ! [_61046] : (relation(_61046) & function(_61046) => ! [_61068, _61071] : ((in(_61068, relation_dom(_61046)) => (_61071 = apply(_61046, _61068) <=> in(ordered_pair(_61068, _61071), _61046))) & (~ in(_61068, relation_dom(_61046)) => (_61071 = apply(_61046, _61068) <=> _61071 = empty_set)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_funct_1)).
% 0.39/1.44 fof(dt_k5_relat_1, axiom, ! [_61438, _61441] : (relation(_61438) & relation(_61441) => relation(relation_composition(_61438, _61441))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_relat_1)).
% 0.39/1.44 fof(fc1_funct_1, axiom, ! [_61614, _61617] : (relation(_61614) & function(_61614) & relation(_61617) & function(_61617) => relation(relation_composition(_61614, _61617)) & function(relation_composition(_61614, _61617))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_funct_1)).
% 0.39/1.44 fof(t21_funct_1, axiom, ! [_61891, _61894] : (relation(_61894) & function(_61894) => ! [_61916] : (relation(_61916) & function(_61916) => (in(_61891, relation_dom(relation_composition(_61916, _61894))) <=> in(_61891, relation_dom(_61916)) & in(apply(_61916, _61891), relation_dom(_61894))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_funct_1)).
% 0.39/1.44 fof(t22_funct_1, axiom, ! [_62250, _62253] : (relation(_62253) & function(_62253) => ! [_62275] : (relation(_62275) & function(_62275) => in(_62250, relation_dom(relation_composition(_62275, _62253))) => apply(relation_composition(_62275, _62253), _62250) = apply(_62253, apply(_62275, _62250)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t22_funct_1)).
% 0.39/1.44
% 0.39/1.44 cnf(1, plain, [-(relation(11 ^ []))], clausify(t23_funct_1)).
% 0.39/1.44 cnf(2, plain, [-(function(11 ^ []))], clausify(t23_funct_1)).
% 0.39/1.44 cnf(3, plain, [-(relation(12 ^ []))], clausify(t23_funct_1)).
% 0.39/1.44 cnf(4, plain, [-(function(12 ^ []))], clausify(t23_funct_1)).
% 0.39/1.44 cnf(5, plain, [-(in(10 ^ [], relation_dom(11 ^ [])))], clausify(t23_funct_1)).
% 0.39/1.44 cnf(6, plain, [apply(relation_composition(11 ^ [], 12 ^ []), 10 ^ []) = apply(12 ^ [], apply(11 ^ [], 10 ^ []))], clausify(t23_funct_1)).
% 0.39/1.44 cnf(7, plain, [-(_17685 = _17685)], theory(equality)).
% 0.39/1.44 cnf(8, plain, [_17838 = _17883, -(_17883 = _17838)], theory(equality)).
% 0.39/1.44 cnf(9, plain, [function(_26535), relation(_26535), -(in(_26725, relation_dom(_26535))), -(_26813 = apply(_26535, _26725)), _26813 = empty_set], clausify(d4_funct_1)).
% 0.39/1.44 cnf(10, plain, [-(relation(relation_composition(_27971, _28022))), relation(_27971), relation(_28022)], clausify(dt_k5_relat_1)).
% 0.39/1.44 cnf(11, plain, [-(function(relation_composition(_29260, _29329))), relation(_29260), function(_29260), relation(_29329), function(_29329)], clausify(fc1_funct_1)).
% 0.39/1.44 cnf(12, plain, [function(_34665), relation(_34665), function(_34843), relation(_34843), in(_34577, relation_dom(relation_composition(_34843, _34665))), -(in(apply(_34843, _34577), relation_dom(_34665)))], clausify(t21_funct_1)).
% 0.39/1.44 cnf(13, plain, [function(_34665), relation(_34665), function(_34843), relation(_34843), -(in(_34577, relation_dom(relation_composition(_34843, _34665)))), in(_34577, relation_dom(_34843)), in(apply(_34843, _34577), relation_dom(_34665))], clausify(t21_funct_1)).
% 0.39/1.44 cnf(14, plain, [function(_35551), relation(_35551), function(_35728), relation(_35728), in(_35464, relation_dom(relation_composition(_35728, _35551))), -(apply(relation_composition(_35728, _35551), _35464) = apply(_35551, apply(_35728, _35464)))], clausify(t22_funct_1)).
% 0.39/1.44
% 0.39/1.44 cnf('1',plain,[apply(relation_composition(11 ^ [], 12 ^ []), 10 ^ []) = apply(12 ^ [], apply(11 ^ [], 10 ^ []))],start(6)).
% 0.39/1.44 cnf('1.1',plain,[-(apply(relation_composition(11 ^ [], 12 ^ []), 10 ^ []) = apply(12 ^ [], apply(11 ^ [], 10 ^ []))), function(12 ^ []), relation(12 ^ []), -(in(apply(11 ^ [], 10 ^ []), relation_dom(12 ^ []))), apply(relation_composition(11 ^ [], 12 ^ []), 10 ^ []) = empty_set],extension(9,bind([[_26725, _26535, _26813], [apply(11 ^ [], 10 ^ []), 12 ^ [], apply(relation_composition(11 ^ [], 12 ^ []), 10 ^ [])]]))).
% 0.39/1.44 cnf('1.1.1',plain,[-(function(12 ^ []))],extension(4)).
% 0.39/1.44 cnf('1.1.2',plain,[-(relation(12 ^ []))],extension(3)).
% 0.39/1.44 cnf('1.1.3',plain,[in(apply(11 ^ [], 10 ^ []), relation_dom(12 ^ [])), function(12 ^ []), relation(12 ^ []), function(11 ^ []), relation(11 ^ []), -(in(10 ^ [], relation_dom(relation_composition(11 ^ [], 12 ^ [])))), in(10 ^ [], relation_dom(11 ^ []))],extension(13,bind([[_34665, _34577, _34843], [12 ^ [], 10 ^ [], 11 ^ []]]))).
% 0.39/1.44 cnf('1.1.3.1',plain,[-(function(12 ^ []))],extension(4)).
% 0.39/1.44 cnf('1.1.3.2',plain,[-(relation(12 ^ []))],extension(3)).
% 0.39/1.44 cnf('1.1.3.3',plain,[-(function(11 ^ []))],extension(2)).
% 0.39/1.44 cnf('1.1.3.4',plain,[-(relation(11 ^ []))],extension(1)).
% 0.39/1.44 cnf('1.1.3.5',plain,[in(10 ^ [], relation_dom(relation_composition(11 ^ [], 12 ^ []))), function(12 ^ []), relation(12 ^ []), function(11 ^ []), relation(11 ^ []), -(apply(relation_composition(11 ^ [], 12 ^ []), 10 ^ []) = apply(12 ^ [], apply(11 ^ [], 10 ^ [])))],extension(14,bind([[_35551, _35728, _35464], [12 ^ [], 11 ^ [], 10 ^ []]]))).
% 0.39/1.44 cnf('1.1.3.5.1',plain,[-(function(12 ^ []))],extension(4)).
% 0.39/1.44 cnf('1.1.3.5.2',plain,[-(relation(12 ^ []))],extension(3)).
% 0.39/1.44 cnf('1.1.3.5.3',plain,[-(function(11 ^ []))],extension(2)).
% 0.39/1.44 cnf('1.1.3.5.4',plain,[-(relation(11 ^ []))],extension(1)).
% 0.39/1.44 cnf('1.1.3.5.5',plain,[apply(relation_composition(11 ^ [], 12 ^ []), 10 ^ []) = apply(12 ^ [], apply(11 ^ [], 10 ^ []))],extension(6)).
% 0.39/1.44 cnf('1.1.3.6',plain,[-(in(10 ^ [], relation_dom(11 ^ [])))],extension(5)).
% 0.39/1.44 cnf('1.1.4',plain,[-(apply(relation_composition(11 ^ [], 12 ^ []), 10 ^ []) = empty_set), empty_set = apply(relation_composition(11 ^ [], 12 ^ []), 10 ^ [])],extension(8,bind([[_17838, _17883], [empty_set, apply(relation_composition(11 ^ [], 12 ^ []), 10 ^ [])]]))).
% 0.39/1.44 cnf('1.1.4.1',plain,[-(empty_set = apply(relation_composition(11 ^ [], 12 ^ []), 10 ^ [])), function(relation_composition(11 ^ [], 12 ^ [])), relation(relation_composition(11 ^ [], 12 ^ [])), -(in(10 ^ [], relation_dom(relation_composition(11 ^ [], 12 ^ [])))), empty_set = empty_set],extension(9,bind([[_26725, _26535, _26813], [10 ^ [], relation_composition(11 ^ [], 12 ^ []), empty_set]]))).
% 0.39/1.44 cnf('1.1.4.1.1',plain,[-(function(relation_composition(11 ^ [], 12 ^ []))), relation(11 ^ []), function(11 ^ []), relation(12 ^ []), function(12 ^ [])],extension(11,bind([[_29260, _29329], [11 ^ [], 12 ^ []]]))).
% 0.39/1.44 cnf('1.1.4.1.1.1',plain,[-(relation(11 ^ []))],extension(1)).
% 0.39/1.44 cnf('1.1.4.1.1.2',plain,[-(function(11 ^ []))],extension(2)).
% 0.39/1.44 cnf('1.1.4.1.1.3',plain,[-(relation(12 ^ []))],extension(3)).
% 0.39/1.44 cnf('1.1.4.1.1.4',plain,[-(function(12 ^ []))],extension(4)).
% 0.39/1.44 cnf('1.1.4.1.2',plain,[-(relation(relation_composition(11 ^ [], 12 ^ []))), relation(11 ^ []), relation(12 ^ [])],extension(10,bind([[_27971, _28022], [11 ^ [], 12 ^ []]]))).
% 0.39/1.44 cnf('1.1.4.1.2.1',plain,[-(relation(11 ^ []))],extension(1)).
% 0.39/1.44 cnf('1.1.4.1.2.2',plain,[-(relation(12 ^ []))],extension(3)).
% 0.39/1.44 cnf('1.1.4.1.3',plain,[in(10 ^ [], relation_dom(relation_composition(11 ^ [], 12 ^ []))), function(12 ^ []), relation(12 ^ []), function(11 ^ []), relation(11 ^ []), -(in(apply(11 ^ [], 10 ^ []), relation_dom(12 ^ [])))],extension(12,bind([[_34843, _34577, _34665], [11 ^ [], 10 ^ [], 12 ^ []]]))).
% 0.39/1.44 cnf('1.1.4.1.3.1',plain,[-(function(12 ^ []))],extension(4)).
% 0.39/1.44 cnf('1.1.4.1.3.2',plain,[-(relation(12 ^ []))],extension(3)).
% 0.39/1.44 cnf('1.1.4.1.3.3',plain,[-(function(11 ^ []))],extension(2)).
% 0.39/1.44 cnf('1.1.4.1.3.4',plain,[-(relation(11 ^ []))],extension(1)).
% 0.39/1.44 cnf('1.1.4.1.3.5',plain,[in(apply(11 ^ [], 10 ^ []), relation_dom(12 ^ []))],lemmata('1.1')).
% 0.39/1.44 cnf('1.1.4.1.4',plain,[-(empty_set = empty_set)],extension(7,bind([[_17685], [empty_set]]))).
% 0.39/1.44 %-----------------------------------------------------
% 0.39/1.45
% 0.39/1.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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