TSTP Solution File: SEU109+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU109+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 12:00:10 EDT 2022
% Result : Theorem 158.33s 152.96s
% Output : Proof 158.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU109+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n015.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 : Sat Jun 18 20:30:59 EDT 2022
% 0.14/0.35 % CPUTime :
% 158.33/152.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 158.33/152.97 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 158.33/152.98
% 158.33/152.98 %-----------------------------------------------------
% 158.33/152.98 fof(t21_finsub_1, conjecture, ! [_79721] : (~ empty(_79721) & preboolean(_79721) => ! [_79745] : (~ empty(_79745) & preboolean(_79745) => ~ empty(set_intersection2(_79721, _79745)) & preboolean(set_intersection2(_79721, _79745)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_finsub_1)).
% 158.33/152.98 fof(d3_xboole_0, axiom, ! [_80117, _80120, _80123] : (_80123 = set_intersection2(_80117, _80120) <=> ! [_80144] : (in(_80144, _80123) <=> in(_80144, _80117) & in(_80144, _80120))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 158.33/152.98 fof(t10_finsub_1, axiom, ! [_80444] : (preboolean(_80444) <=> ! [_80459, _80462] : (in(_80459, _80444) & in(_80462, _80444) => in(set_union2(_80459, _80462), _80444) & in(set_difference(_80459, _80462), _80444))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t10_finsub_1)).
% 158.33/152.98 fof(t18_finsub_1, axiom, ! [_80777] : (~ empty(_80777) & preboolean(_80777) => in(empty_set, _80777)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t18_finsub_1)).
% 158.33/152.98 fof(t7_boole, axiom, ! [_80944, _80947] : ~ (in(_80944, _80947) & empty(_80947)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_boole)).
% 158.33/152.98 fof(t8_boole, axiom, ! [_81090, _81093] : ~ (empty(_81090) & (! _81090) = _81093 & empty(_81093)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_boole)).
% 158.33/152.98
% 158.33/152.98 cnf(1, plain, [empty(14 ^ [])], clausify(t21_finsub_1)).
% 158.33/152.98 cnf(2, plain, [-(preboolean(14 ^ []))], clausify(t21_finsub_1)).
% 158.33/152.98 cnf(3, plain, [empty(15 ^ [])], clausify(t21_finsub_1)).
% 158.33/152.98 cnf(4, plain, [-(preboolean(15 ^ []))], clausify(t21_finsub_1)).
% 158.33/152.98 cnf(5, plain, [-(empty(set_intersection2(14 ^ [], 15 ^ []))), preboolean(set_intersection2(14 ^ [], 15 ^ []))], clausify(t21_finsub_1)).
% 158.33/152.98 cnf(6, plain, [-(set_intersection2(_27636, _27769) = set_intersection2(_27703, _27834)), _27636 = _27703, _27769 = _27834], theory(equality)).
% 158.33/152.98 cnf(7, plain, [-(_19396 = _19396)], theory(equality)).
% 158.33/152.98 cnf(8, plain, [-(empty(_21964)), _21915 = _21964, empty(_21915)], theory(equality)).
% 158.33/152.98 cnf(9, plain, [_31155 = set_intersection2(_31016, _31086), in(_31319, _31155), -(in(_31319, _31016))], clausify(d3_xboole_0)).
% 158.33/152.98 cnf(10, plain, [_31155 = set_intersection2(_31016, _31086), in(_31319, _31155), -(in(_31319, _31086))], clausify(d3_xboole_0)).
% 158.33/152.98 cnf(11, plain, [_31155 = set_intersection2(_31016, _31086), -(in(_31319, _31155)), in(_31319, _31016), in(_31319, _31086)], clausify(d3_xboole_0)).
% 158.33/152.98 cnf(12, plain, [-(preboolean(_38799)), -(in(12 ^ [_38799], _38799))], clausify(t10_finsub_1)).
% 158.33/152.98 cnf(13, plain, [-(preboolean(_38799)), -(in(13 ^ [_38799], _38799))], clausify(t10_finsub_1)).
% 158.33/152.98 cnf(14, plain, [-(preboolean(_38799)), in(set_union2(12 ^ [_38799], 13 ^ [_38799]), _38799), in(set_difference(12 ^ [_38799], 13 ^ [_38799]), _38799)], clausify(t10_finsub_1)).
% 158.33/152.98 cnf(15, plain, [preboolean(_38799), -(in(set_union2(_38910, _38977), _38799)), in(_38910, _38799), in(_38977, _38799)], clausify(t10_finsub_1)).
% 158.33/152.98 cnf(16, plain, [preboolean(_38799), -(in(set_difference(_38910, _38977), _38799)), in(_38910, _38799), in(_38977, _38799)], clausify(t10_finsub_1)).
% 158.33/152.98 cnf(17, plain, [-(in(empty_set, _39508)), -(empty(_39508)), preboolean(_39508)], clausify(t18_finsub_1)).
% 158.33/152.98 cnf(18, plain, [in(_42893, _42939), empty(_42939)], clausify(t7_boole)).
% 158.33/152.98 cnf(19, plain, [empty(_43190), -(_43190 = _43243), empty(_43243)], clausify(t8_boole)).
% 158.33/152.98
% 158.33/152.98 cnf('1',plain,[-(empty(set_intersection2(14 ^ [], 15 ^ []))), preboolean(set_intersection2(14 ^ [], 15 ^ []))],start(5)).
% 158.33/152.98 cnf('1.1',plain,[empty(set_intersection2(14 ^ [], 15 ^ [])), -(empty(14 ^ [])), set_intersection2(14 ^ [], 15 ^ []) = 14 ^ []],extension(8,bind([[_21915, _21964], [set_intersection2(14 ^ [], 15 ^ []), 14 ^ []]]))).
% 158.33/152.98 cnf('1.1.1',plain,[empty(14 ^ [])],extension(1)).
% 158.33/152.98 cnf('1.1.2',plain,[-(set_intersection2(14 ^ [], 15 ^ []) = 14 ^ []), empty(set_intersection2(14 ^ [], 15 ^ [])), empty(14 ^ [])],extension(19,bind([[_43190, _43243], [set_intersection2(14 ^ [], 15 ^ []), 14 ^ []]]))).
% 158.33/152.98 cnf('1.1.2.1',plain,[-(empty(set_intersection2(14 ^ [], 15 ^ [])))],reduction('1')).
% 158.33/152.98 cnf('1.1.2.2',plain,[-(empty(14 ^ [])), -(in(empty_set, 14 ^ [])), preboolean(14 ^ [])],extension(17,bind([[_39508], [14 ^ []]]))).
% 158.33/152.98 cnf('1.1.2.2.1',plain,[in(empty_set, 14 ^ []), set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []), -(in(empty_set, set_intersection2(14 ^ [], 15 ^ []))), in(empty_set, 15 ^ [])],extension(11,bind([[_31016, _31155, _31319, _31086], [14 ^ [], set_intersection2(14 ^ [], 15 ^ []), empty_set, 15 ^ []]]))).
% 158.33/152.98 cnf('1.1.2.2.1.1',plain,[-(set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []))],extension(7,bind([[_19396], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.1.2.2.1.2',plain,[in(empty_set, set_intersection2(14 ^ [], 15 ^ [])), empty(set_intersection2(14 ^ [], 15 ^ []))],extension(18,bind([[_42893, _42939], [empty_set, set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.1.2.2.1.2.1',plain,[-(empty(set_intersection2(14 ^ [], 15 ^ [])))],lemmata('1.1.2')).
% 158.33/152.98 cnf('1.1.2.2.1.3',plain,[-(in(empty_set, 15 ^ [])), -(empty(15 ^ [])), preboolean(15 ^ [])],extension(17,bind([[_39508], [15 ^ []]]))).
% 158.33/152.98 cnf('1.1.2.2.1.3.1',plain,[empty(15 ^ [])],extension(3)).
% 158.33/152.98 cnf('1.1.2.2.1.3.2',plain,[-(preboolean(15 ^ []))],extension(4)).
% 158.33/152.98 cnf('1.1.2.2.2',plain,[-(preboolean(14 ^ []))],extension(2)).
% 158.33/152.98 cnf('1.2',plain,[-(preboolean(set_intersection2(14 ^ [], 15 ^ []))), in(set_union2(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), set_intersection2(14 ^ [], 15 ^ [])), in(set_difference(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), set_intersection2(14 ^ [], 15 ^ []))],extension(14,bind([[_38799], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1',plain,[-(in(set_union2(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), set_intersection2(14 ^ [], 15 ^ []))), set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []), in(set_union2(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), 14 ^ []), in(set_union2(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), 15 ^ [])],extension(11,bind([[_31155, _31016, _31319, _31086], [set_intersection2(14 ^ [], 15 ^ []), 14 ^ [], set_union2(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), 15 ^ []]]))).
% 158.33/152.98 cnf('1.2.1.1',plain,[-(set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ [])), 14 ^ [] = 14 ^ [], 15 ^ [] = 15 ^ []],extension(6,bind([[_27636, _27703, _27769, _27834], [14 ^ [], 14 ^ [], 15 ^ [], 15 ^ []]]))).
% 158.33/152.98 cnf('1.2.1.1.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_19396], [14 ^ []]]))).
% 158.33/152.98 cnf('1.2.1.1.2',plain,[-(15 ^ [] = 15 ^ [])],extension(7,bind([[_19396], [15 ^ []]]))).
% 158.33/152.98 cnf('1.2.1.2',plain,[-(in(set_union2(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), 14 ^ [])), preboolean(14 ^ []), in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 14 ^ []), in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], 14 ^ [])],extension(15,bind([[_38910, _38977, _38799], [12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])], 14 ^ []]]))).
% 158.33/152.98 cnf('1.2.1.2.1',plain,[-(preboolean(14 ^ []))],extension(2)).
% 158.33/152.98 cnf('1.2.1.2.2',plain,[-(in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 14 ^ [])), set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []), in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))],extension(9,bind([[_31016, _31086, _31319, _31155], [14 ^ [], 15 ^ [], 12 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1.2.2.1',plain,[-(set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []))],extension(7,bind([[_19396], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1.2.2.2',plain,[-(in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))), -(preboolean(set_intersection2(14 ^ [], 15 ^ [])))],extension(12,bind([[_38799], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1.2.2.2.1',plain,[preboolean(set_intersection2(14 ^ [], 15 ^ []))],reduction('1')).
% 158.33/152.98 cnf('1.2.1.2.3',plain,[-(in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], 14 ^ [])), set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []), in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))],extension(9,bind([[_31016, _31086, _31319, _31155], [14 ^ [], 15 ^ [], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1.2.3.1',plain,[-(set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []))],extension(7,bind([[_19396], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1.2.3.2',plain,[-(in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))), -(preboolean(set_intersection2(14 ^ [], 15 ^ [])))],extension(13,bind([[_38799], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1.2.3.2.1',plain,[preboolean(set_intersection2(14 ^ [], 15 ^ []))],reduction('1')).
% 158.33/152.98 cnf('1.2.1.3',plain,[-(in(set_union2(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), 15 ^ [])), preboolean(15 ^ []), in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 15 ^ []), in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], 15 ^ [])],extension(15,bind([[_38910, _38977, _38799], [12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])], 15 ^ []]]))).
% 158.33/152.98 cnf('1.2.1.3.1',plain,[-(preboolean(15 ^ []))],extension(4)).
% 158.33/152.98 cnf('1.2.1.3.2',plain,[-(in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 15 ^ [])), set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []), in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))],extension(10,bind([[_31016, _31086, _31319, _31155], [14 ^ [], 15 ^ [], 12 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1.3.2.1',plain,[-(set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []))],extension(7,bind([[_19396], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1.3.2.2',plain,[-(in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))), -(preboolean(set_intersection2(14 ^ [], 15 ^ [])))],extension(12,bind([[_38799], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1.3.2.2.1',plain,[preboolean(set_intersection2(14 ^ [], 15 ^ []))],reduction('1')).
% 158.33/152.98 cnf('1.2.1.3.3',plain,[-(in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], 15 ^ [])), set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []), in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))],extension(10,bind([[_31016, _31086, _31319, _31155], [14 ^ [], 15 ^ [], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1.3.3.1',plain,[-(set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []))],extension(7,bind([[_19396], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1.3.3.2',plain,[-(in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))), -(preboolean(set_intersection2(14 ^ [], 15 ^ [])))],extension(13,bind([[_38799], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.1.3.3.2.1',plain,[preboolean(set_intersection2(14 ^ [], 15 ^ []))],reduction('1')).
% 158.33/152.98 cnf('1.2.2',plain,[-(in(set_difference(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), set_intersection2(14 ^ [], 15 ^ []))), set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []), in(set_difference(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), 14 ^ []), in(set_difference(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), 15 ^ [])],extension(11,bind([[_31155, _31016, _31319, _31086], [set_intersection2(14 ^ [], 15 ^ []), 14 ^ [], set_difference(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), 15 ^ []]]))).
% 158.33/152.98 cnf('1.2.2.1',plain,[-(set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ [])), 14 ^ [] = 14 ^ [], 15 ^ [] = 15 ^ []],extension(6,bind([[_27636, _27703, _27769, _27834], [14 ^ [], 14 ^ [], 15 ^ [], 15 ^ []]]))).
% 158.33/152.98 cnf('1.2.2.1.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_19396], [14 ^ []]]))).
% 158.33/152.98 cnf('1.2.2.1.2',plain,[-(15 ^ [] = 15 ^ [])],extension(7,bind([[_19396], [15 ^ []]]))).
% 158.33/152.98 cnf('1.2.2.2',plain,[-(in(set_difference(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), 14 ^ [])), preboolean(14 ^ []), in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 14 ^ []), in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], 14 ^ [])],extension(16,bind([[_38910, _38977, _38799], [12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])], 14 ^ []]]))).
% 158.33/152.98 cnf('1.2.2.2.1',plain,[-(preboolean(14 ^ []))],extension(2)).
% 158.33/152.98 cnf('1.2.2.2.2',plain,[-(in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 14 ^ [])), set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []), in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))],extension(9,bind([[_31016, _31086, _31319, _31155], [14 ^ [], 15 ^ [], 12 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.2.2.2.1',plain,[-(set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []))],extension(7,bind([[_19396], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.2.2.2.2',plain,[-(in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))), -(preboolean(set_intersection2(14 ^ [], 15 ^ [])))],extension(12,bind([[_38799], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.2.2.2.2.1',plain,[preboolean(set_intersection2(14 ^ [], 15 ^ []))],reduction('1')).
% 158.33/152.98 cnf('1.2.2.2.3',plain,[-(in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], 14 ^ [])), set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []), in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))],extension(9,bind([[_31016, _31086, _31319, _31155], [14 ^ [], 15 ^ [], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.2.2.3.1',plain,[-(set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []))],extension(7,bind([[_19396], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.2.2.3.2',plain,[-(in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))), -(preboolean(set_intersection2(14 ^ [], 15 ^ [])))],extension(13,bind([[_38799], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.2.2.3.2.1',plain,[preboolean(set_intersection2(14 ^ [], 15 ^ []))],reduction('1')).
% 158.33/152.98 cnf('1.2.2.3',plain,[-(in(set_difference(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])]), 15 ^ [])), preboolean(15 ^ []), in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 15 ^ []), in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], 15 ^ [])],extension(16,bind([[_38910, _38977, _38799], [12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])], 15 ^ []]]))).
% 158.33/152.98 cnf('1.2.2.3.1',plain,[-(preboolean(15 ^ []))],extension(4)).
% 158.33/152.98 cnf('1.2.2.3.2',plain,[-(in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], 15 ^ [])), set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []), in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))],extension(10,bind([[_31016, _31086, _31319, _31155], [14 ^ [], 15 ^ [], 12 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.2.3.2.1',plain,[-(set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []))],extension(7,bind([[_19396], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.2.3.2.2',plain,[-(in(12 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))), -(preboolean(set_intersection2(14 ^ [], 15 ^ [])))],extension(12,bind([[_38799], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.2.3.2.2.1',plain,[preboolean(set_intersection2(14 ^ [], 15 ^ []))],reduction('1')).
% 158.33/152.98 cnf('1.2.2.3.3',plain,[-(in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], 15 ^ [])), set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []), in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))],extension(10,bind([[_31016, _31086, _31319, _31155], [14 ^ [], 15 ^ [], 13 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.2.3.3.1',plain,[-(set_intersection2(14 ^ [], 15 ^ []) = set_intersection2(14 ^ [], 15 ^ []))],extension(7,bind([[_19396], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.2.3.3.2',plain,[-(in(13 ^ [set_intersection2(14 ^ [], 15 ^ [])], set_intersection2(14 ^ [], 15 ^ []))), -(preboolean(set_intersection2(14 ^ [], 15 ^ [])))],extension(13,bind([[_38799], [set_intersection2(14 ^ [], 15 ^ [])]]))).
% 158.33/152.98 cnf('1.2.2.3.3.2.1',plain,[preboolean(set_intersection2(14 ^ [], 15 ^ []))],reduction('1')).
% 158.33/152.98 %-----------------------------------------------------
% 158.33/152.99
% 158.33/152.99 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------