TSTP Solution File: NUM386+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM386+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 : Mon Jul 18 11:40:28 EDT 2022
% Result : Theorem 186.30s 180.35s
% Output : Proof 186.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM386+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n007.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 : Thu Jul 7 06:26:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 186.30/180.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 186.37/180.36 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 186.37/180.37
% 186.37/180.37 %-----------------------------------------------------
% 186.37/180.37 fof(t13_ordinal1, conjecture, ! [_74122, _74125] : (in(_74122, succ(_74125)) <=> in(_74122, _74125) | _74122 = _74125), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t13_ordinal1)).
% 186.37/180.37 fof(t1_boole, axiom, ! [_74302] : set_union2(_74302, empty_set) = _74302, file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_boole)).
% 186.37/180.37 fof(commutativity_k2_xboole_0, axiom, ! [_74432, _74435] : set_union2(_74432, _74435) = set_union2(_74435, _74432), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k2_xboole_0)).
% 186.37/180.37 fof(d2_xboole_0, axiom, ! [_74619, _74622, _74625] : (_74625 = set_union2(_74619, _74622) <=> ! [_74646] : (in(_74646, _74625) <=> in(_74646, _74619) | in(_74646, _74622))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_xboole_0)).
% 186.37/180.37 fof(d1_ordinal1, axiom, ! [_74916] : succ(_74916) = set_union2(_74916, singleton(_74916)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_ordinal1)).
% 186.37/180.37 fof(d1_tarski, axiom, ! [_75069, _75072] : (_75072 = singleton(_75069) <=> ! [_75090] : (in(_75090, _75072) <=> _75090 = _75069)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 186.37/180.37 fof(fc1_xboole_0, axiom, empty(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc1_xboole_0)).
% 186.37/180.37 fof(t7_boole, axiom, ! [_75447, _75450] : ~ (in(_75447, _75450) & empty(_75450)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t7_boole)).
% 186.37/180.37
% 186.37/180.37 cnf(1, plain, [-(17 ^ []), -(in(14 ^ [], 15 ^ [])), -(14 ^ [] = 15 ^ [])], clausify(t13_ordinal1)).
% 186.37/180.37 cnf(2, plain, [-(set_union2(_25857, empty_set) = _25857)], clausify(t1_boole)).
% 186.37/180.37 cnf(3, plain, [-(17 ^ []), in(14 ^ [], succ(15 ^ []))], clausify(t13_ordinal1)).
% 186.37/180.37 cnf(4, plain, [-(set_union2(_19630, _19675) = set_union2(_19675, _19630))], clausify(commutativity_k2_xboole_0)).
% 186.37/180.37 cnf(5, plain, [16 ^ [], 17 ^ []], clausify(t13_ordinal1)).
% 186.37/180.37 cnf(6, plain, [-(16 ^ []), -(in(14 ^ [], succ(15 ^ [])))], clausify(t13_ordinal1)).
% 186.37/180.37 cnf(7, plain, [-(16 ^ []), 14 ^ [] = 15 ^ []], clausify(t13_ordinal1)).
% 186.37/180.37 cnf(8, plain, [_20810 = set_union2(_20671, _20741), -(in(_20974, _20810)), in(_20974, _20741)], clausify(d2_xboole_0)).
% 186.37/180.37 cnf(9, plain, [-(_20810 = set_union2(_20671, _20741)), in(2 ^ [_20810, _20741, _20671], _20810), in(2 ^ [_20810, _20741, _20671], _20671)], clausify(d2_xboole_0)).
% 186.37/180.37 cnf(10, plain, [-(in(_15117, _15248)), in(_15050, _15183), _15050 = _15117, _15183 = _15248], theory(equality)).
% 186.37/180.37 cnf(11, plain, [_17724 = _17773, -(singleton(_17724) = singleton(_17773))], theory(equality)).
% 186.37/180.37 cnf(12, plain, [-(succ(_19940) = set_union2(_19940, singleton(_19940)))], clausify(d1_ordinal1)).
% 186.37/180.37 cnf(13, plain, [-(_20810 = set_union2(_20671, _20741)), in(2 ^ [_20810, _20741, _20671], _20810), in(2 ^ [_20810, _20741, _20671], _20741)], clausify(d2_xboole_0)).
% 186.37/180.37 cnf(14, plain, [_20248 = singleton(_20190), in(_20380, _20248), -(_20380 = _20190)], clausify(d1_tarski)).
% 186.37/180.37 cnf(15, plain, [-(empty(empty_set))], clausify(fc1_xboole_0)).
% 186.37/180.37 cnf(16, plain, [-(_13292 = _13403), _13292 = _13348, _13348 = _13403], theory(equality)).
% 186.37/180.37 cnf(17, plain, [_20248 = singleton(_20190), -(in(_20380, _20248)), _20380 = _20190], clausify(d1_tarski)).
% 186.37/180.37 cnf(18, plain, [-(16 ^ []), in(14 ^ [], 15 ^ [])], clausify(t13_ordinal1)).
% 186.37/180.37 cnf(19, plain, [-(set_union2(_17100, _17233) = set_union2(_17167, _17298)), _17100 = _17167, _17233 = _17298], theory(equality)).
% 186.37/180.37 cnf(20, plain, [_13013 = _13058, -(_13058 = _13013)], theory(equality)).
% 186.37/180.37 cnf(21, plain, [_20810 = set_union2(_20671, _20741), in(_20974, _20810), -(in(_20974, _20671)), -(in(_20974, _20741))], clausify(d2_xboole_0)).
% 186.37/180.37 cnf(22, plain, [-(_20810 = set_union2(_20671, _20741)), -(in(2 ^ [_20810, _20741, _20671], _20810)), -(in(2 ^ [_20810, _20741, _20671], _20671)), -(in(2 ^ [_20810, _20741, _20671], _20741))], clausify(d2_xboole_0)).
% 186.37/180.37 cnf(23, plain, [-(_12860 = _12860)], theory(equality)).
% 186.37/180.37 cnf(24, plain, [in(_26986, _27032), empty(_27032)], clausify(t7_boole)).
% 186.37/180.37
% 186.37/180.37 cnf('1',plain,[16 ^ [], 17 ^ []],start(5)).
% 186.37/180.37 cnf('1.1',plain,[-(16 ^ []), -(in(14 ^ [], succ(15 ^ [])))],extension(6)).
% 186.37/180.37 cnf('1.1.1',plain,[in(14 ^ [], succ(15 ^ [])), succ(15 ^ []) = set_union2(15 ^ [], singleton(15 ^ [])), -(in(14 ^ [], 15 ^ [])), -(in(14 ^ [], singleton(15 ^ [])))],extension(21,bind([[_20810, _20671, _20974, _20741], [succ(15 ^ []), 15 ^ [], 14 ^ [], singleton(15 ^ [])]]))).
% 186.37/180.37 cnf('1.1.1.1',plain,[-(succ(15 ^ []) = set_union2(15 ^ [], singleton(15 ^ [])))],extension(12,bind([[_19940], [15 ^ []]]))).
% 186.37/180.37 cnf('1.1.1.2',plain,[in(14 ^ [], 15 ^ []), -(16 ^ [])],extension(18)).
% 186.37/180.37 cnf('1.1.1.2.1',plain,[16 ^ []],reduction('1')).
% 186.37/180.37 cnf('1.1.1.3',plain,[in(14 ^ [], singleton(15 ^ [])), set_union2(set_union2(empty_set, singleton(15 ^ [])), empty_set) = set_union2(empty_set, singleton(15 ^ [])), -(in(14 ^ [], set_union2(set_union2(empty_set, singleton(15 ^ [])), empty_set)))],extension(8,bind([[_20671, _20741, _20974, _20810], [empty_set, singleton(15 ^ []), 14 ^ [], set_union2(set_union2(empty_set, singleton(15 ^ [])), empty_set)]]))).
% 186.37/180.37 cnf('1.1.1.3.1',plain,[-(set_union2(set_union2(empty_set, singleton(15 ^ [])), empty_set) = set_union2(empty_set, singleton(15 ^ [])))],extension(2,bind([[_25857], [set_union2(empty_set, singleton(15 ^ []))]]))).
% 186.37/180.37 cnf('1.1.1.3.2',plain,[in(14 ^ [], set_union2(set_union2(empty_set, singleton(15 ^ [])), empty_set)), set_union2(set_union2(empty_set, singleton(15 ^ [])), empty_set) = singleton(15 ^ []), -(14 ^ [] = 15 ^ [])],extension(14,bind([[_20248, _20380, _20190], [set_union2(set_union2(empty_set, singleton(15 ^ [])), empty_set), 14 ^ [], 15 ^ []]]))).
% 186.37/180.37 cnf('1.1.1.3.2.1',plain,[-(set_union2(set_union2(empty_set, singleton(15 ^ [])), empty_set) = singleton(15 ^ [])), set_union2(set_union2(empty_set, singleton(15 ^ [])), empty_set) = set_union2(empty_set, singleton(15 ^ [])), set_union2(empty_set, singleton(15 ^ [])) = singleton(15 ^ [])],extension(16,bind([[_13292, _13348, _13403], [set_union2(set_union2(empty_set, singleton(15 ^ [])), empty_set), set_union2(empty_set, singleton(15 ^ [])), singleton(15 ^ [])]]))).
% 186.37/180.37 cnf('1.1.1.3.2.1.1',plain,[-(set_union2(set_union2(empty_set, singleton(15 ^ [])), empty_set) = set_union2(empty_set, singleton(15 ^ [])))],extension(2,bind([[_25857], [set_union2(empty_set, singleton(15 ^ []))]]))).
% 186.37/180.37 cnf('1.1.1.3.2.1.2',plain,[-(set_union2(empty_set, singleton(15 ^ [])) = singleton(15 ^ [])), set_union2(empty_set, singleton(15 ^ [])) = set_union2(singleton(15 ^ []), empty_set), set_union2(singleton(15 ^ []), empty_set) = singleton(15 ^ [])],extension(16,bind([[_13292, _13348, _13403], [set_union2(empty_set, singleton(15 ^ [])), set_union2(singleton(15 ^ []), empty_set), singleton(15 ^ [])]]))).
% 186.37/180.37 cnf('1.1.1.3.2.1.2.1',plain,[-(set_union2(empty_set, singleton(15 ^ [])) = set_union2(singleton(15 ^ []), empty_set))],extension(4,bind([[_19675, _19630], [singleton(15 ^ []), empty_set]]))).
% 186.37/180.37 cnf('1.1.1.3.2.1.2.2',plain,[-(set_union2(singleton(15 ^ []), empty_set) = singleton(15 ^ []))],extension(2,bind([[_25857], [singleton(15 ^ [])]]))).
% 186.37/180.37 cnf('1.1.1.3.2.2',plain,[14 ^ [] = 15 ^ [], -(16 ^ [])],extension(7)).
% 186.37/180.37 cnf('1.1.1.3.2.2.1',plain,[16 ^ []],reduction('1')).
% 186.37/180.37 cnf('1.2',plain,[-(17 ^ []), -(in(14 ^ [], 15 ^ [])), -(14 ^ [] = 15 ^ [])],extension(1)).
% 186.37/180.37 cnf('1.2.1',plain,[in(14 ^ [], 15 ^ []), set_union2(set_union2(singleton(15 ^ []), 15 ^ []), empty_set) = set_union2(singleton(15 ^ []), 15 ^ []), -(in(14 ^ [], set_union2(set_union2(singleton(15 ^ []), 15 ^ []), empty_set)))],extension(8,bind([[_20671, _20741, _20974, _20810], [singleton(15 ^ []), 15 ^ [], 14 ^ [], set_union2(set_union2(singleton(15 ^ []), 15 ^ []), empty_set)]]))).
% 186.37/180.37 cnf('1.2.1.1',plain,[-(set_union2(set_union2(singleton(15 ^ []), 15 ^ []), empty_set) = set_union2(singleton(15 ^ []), 15 ^ []))],extension(2,bind([[_25857], [set_union2(singleton(15 ^ []), 15 ^ [])]]))).
% 186.37/180.37 cnf('1.2.1.2',plain,[in(14 ^ [], set_union2(set_union2(singleton(15 ^ []), 15 ^ []), empty_set)), -(in(14 ^ [], succ(15 ^ []))), 14 ^ [] = 14 ^ [], set_union2(set_union2(singleton(15 ^ []), 15 ^ []), empty_set) = succ(15 ^ [])],extension(10,bind([[_15050, _15117, _15183, _15248], [14 ^ [], 14 ^ [], set_union2(set_union2(singleton(15 ^ []), 15 ^ []), empty_set), succ(15 ^ [])]]))).
% 186.37/180.37 cnf('1.2.1.2.1',plain,[in(14 ^ [], succ(15 ^ [])), -(17 ^ [])],extension(3)).
% 186.37/180.37 cnf('1.2.1.2.1.1',plain,[17 ^ []],reduction('1')).
% 186.37/180.37 cnf('1.2.1.2.2',plain,[-(14 ^ [] = 14 ^ []), 14 ^ [] = set_union2(set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)), set_union2(set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)) = 14 ^ []],extension(16,bind([[_13292, _13348, _13403], [14 ^ [], set_union2(set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)), 14 ^ []]]))).
% 186.37/180.37 cnf('1.2.1.2.2.1',plain,[-(14 ^ [] = set_union2(set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set))), in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], 14 ^ []), in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set))],extension(9,bind([[_20810, _20741, _20671], [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)]]))).
% 186.37/180.37 cnf('1.2.1.2.2.1.1',plain,[-(in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], 14 ^ [])), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set) = set_union2(14 ^ [], 14 ^ []), in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)), -(in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], 14 ^ []))],extension(21,bind([[_20671, _20810, _20974, _20741], [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), 2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], 14 ^ []]]))).
% 186.37/180.37 cnf('1.2.1.2.2.1.1.1',plain,[-(set_union2(set_union2(14 ^ [], 14 ^ []), empty_set) = set_union2(14 ^ [], 14 ^ []))],extension(2,bind([[_25857], [set_union2(14 ^ [], 14 ^ [])]]))).
% 186.37/180.37 cnf('1.2.1.2.2.1.1.2',plain,[-(in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set))), -(14 ^ [] = set_union2(set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set))), -(in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], 14 ^ [])), -(in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)))],extension(22,bind([[_20810, _20671, _20741], [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)]]))).
% 186.37/180.37 cnf('1.2.1.2.2.1.1.2.1',plain,[14 ^ [] = set_union2(set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set))],reduction('1.2.1.2.2')).
% 186.37/180.37 cnf('1.2.1.2.2.1.1.2.2',plain,[in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], 14 ^ [])],reduction('1.2.1.2.2.1')).
% 186.37/180.37 cnf('1.2.1.2.2.1.1.2.3',plain,[in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set))],reduction('1.2.1.2.2.1.1')).
% 186.37/180.37 cnf('1.2.1.2.2.1.1.3',plain,[in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], 14 ^ [])],reduction('1.2.1.2.2.1')).
% 186.37/180.37 cnf('1.2.1.2.2.1.2',plain,[-(in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set))), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set) = set_union2(14 ^ [], 14 ^ []), in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], 14 ^ [])],extension(8,bind([[_20810, _20671, _20974, _20741], [set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), 14 ^ [], 2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], 14 ^ []]]))).
% 186.37/180.37 cnf('1.2.1.2.2.1.2.1',plain,[-(set_union2(set_union2(14 ^ [], 14 ^ []), empty_set) = set_union2(14 ^ [], 14 ^ []))],extension(2,bind([[_25857], [set_union2(14 ^ [], 14 ^ [])]]))).
% 186.37/180.37 cnf('1.2.1.2.2.1.2.2',plain,[-(in(2 ^ [14 ^ [], set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)], 14 ^ []))],lemmata('1.2.1.2.2.1')).
% 186.37/180.37 cnf('1.2.1.2.2.2',plain,[-(set_union2(set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)) = 14 ^ []), 14 ^ [] = set_union2(set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set))],extension(20,bind([[_13013, _13058], [14 ^ [], set_union2(set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set))]]))).
% 186.37/180.37 cnf('1.2.1.2.2.2.1',plain,[-(14 ^ [] = set_union2(set_union2(set_union2(14 ^ [], 14 ^ []), empty_set), set_union2(set_union2(14 ^ [], 14 ^ []), empty_set)))],lemmata('1.2.1.2.2')).
% 186.37/180.37 cnf('1.2.1.2.3',plain,[-(set_union2(set_union2(singleton(15 ^ []), 15 ^ []), empty_set) = succ(15 ^ [])), set_union2(set_union2(singleton(15 ^ []), 15 ^ []), empty_set) = set_union2(singleton(15 ^ []), 15 ^ []), set_union2(singleton(15 ^ []), 15 ^ []) = succ(15 ^ [])],extension(16,bind([[_13292, _13348, _13403], [set_union2(set_union2(singleton(15 ^ []), 15 ^ []), empty_set), set_union2(singleton(15 ^ []), 15 ^ []), succ(15 ^ [])]]))).
% 186.37/180.37 cnf('1.2.1.2.3.1',plain,[-(set_union2(set_union2(singleton(15 ^ []), 15 ^ []), empty_set) = set_union2(singleton(15 ^ []), 15 ^ []))],extension(2,bind([[_25857], [set_union2(singleton(15 ^ []), 15 ^ [])]]))).
% 186.37/180.37 cnf('1.2.1.2.3.2',plain,[-(set_union2(singleton(15 ^ []), 15 ^ []) = succ(15 ^ [])), set_union2(singleton(15 ^ []), 15 ^ []) = set_union2(15 ^ [], singleton(15 ^ [])), set_union2(15 ^ [], singleton(15 ^ [])) = succ(15 ^ [])],extension(16,bind([[_13292, _13348, _13403], [set_union2(singleton(15 ^ []), 15 ^ []), set_union2(15 ^ [], singleton(15 ^ [])), succ(15 ^ [])]]))).
% 186.37/180.37 cnf('1.2.1.2.3.2.1',plain,[-(set_union2(singleton(15 ^ []), 15 ^ []) = set_union2(15 ^ [], singleton(15 ^ [])))],extension(4,bind([[_19675, _19630], [15 ^ [], singleton(15 ^ [])]]))).
% 186.37/180.37 cnf('1.2.1.2.3.2.2',plain,[-(set_union2(15 ^ [], singleton(15 ^ [])) = succ(15 ^ [])), succ(15 ^ []) = set_union2(15 ^ [], singleton(15 ^ []))],extension(20,bind([[_13013, _13058], [succ(15 ^ []), set_union2(15 ^ [], singleton(15 ^ []))]]))).
% 186.37/180.37 cnf('1.2.1.2.3.2.2.1',plain,[-(succ(15 ^ []) = set_union2(15 ^ [], singleton(15 ^ [])))],extension(12,bind([[_19940], [15 ^ []]]))).
% 186.37/180.37 cnf('1.2.2',plain,[14 ^ [] = 15 ^ [], -(15 ^ [] = 14 ^ [])],extension(20,bind([[_13058, _13013], [15 ^ [], 14 ^ []]]))).
% 186.37/180.37 cnf('1.2.2.1',plain,[15 ^ [] = 14 ^ [], -(set_union2(15 ^ [], singleton(15 ^ [])) = set_union2(14 ^ [], set_union2(singleton(14 ^ []), empty_set))), singleton(15 ^ []) = set_union2(singleton(14 ^ []), empty_set)],extension(19,bind([[_17100, _17167, _17233, _17298], [15 ^ [], 14 ^ [], singleton(15 ^ []), set_union2(singleton(14 ^ []), empty_set)]]))).
% 186.37/180.37 cnf('1.2.2.1.1',plain,[set_union2(15 ^ [], singleton(15 ^ [])) = set_union2(14 ^ [], set_union2(singleton(14 ^ []), empty_set)), -(in(15 ^ [], set_union2(15 ^ [], singleton(15 ^ [])))), in(15 ^ [], set_union2(singleton(14 ^ []), empty_set))],extension(8,bind([[_20671, _20810, _20974, _20741], [14 ^ [], set_union2(15 ^ [], singleton(15 ^ [])), 15 ^ [], set_union2(singleton(14 ^ []), empty_set)]]))).
% 186.37/180.37 cnf('1.2.2.1.1.1',plain,[in(15 ^ [], set_union2(15 ^ [], singleton(15 ^ []))), -(in(14 ^ [], succ(15 ^ []))), 15 ^ [] = 14 ^ [], set_union2(15 ^ [], singleton(15 ^ [])) = succ(15 ^ [])],extension(10,bind([[_15050, _15117, _15183, _15248], [15 ^ [], 14 ^ [], set_union2(15 ^ [], singleton(15 ^ [])), succ(15 ^ [])]]))).
% 186.37/180.37 cnf('1.2.2.1.1.1.1',plain,[in(14 ^ [], succ(15 ^ [])), -(17 ^ [])],extension(3)).
% 186.37/180.37 cnf('1.2.2.1.1.1.1.1',plain,[17 ^ []],reduction('1')).
% 186.37/180.37 cnf('1.2.2.1.1.1.2',plain,[-(15 ^ [] = 14 ^ [])],reduction('1.2.2')).
% 186.37/180.37 cnf('1.2.2.1.1.1.3',plain,[-(set_union2(15 ^ [], singleton(15 ^ [])) = succ(15 ^ [])), succ(15 ^ []) = set_union2(15 ^ [], singleton(15 ^ []))],extension(20,bind([[_13013, _13058], [succ(15 ^ []), set_union2(15 ^ [], singleton(15 ^ []))]]))).
% 186.37/180.37 cnf('1.2.2.1.1.1.3.1',plain,[-(succ(15 ^ []) = set_union2(15 ^ [], singleton(15 ^ [])))],extension(12,bind([[_19940], [15 ^ []]]))).
% 186.37/180.37 cnf('1.2.2.1.1.2',plain,[-(in(15 ^ [], set_union2(singleton(14 ^ []), empty_set))), set_union2(singleton(14 ^ []), empty_set) = singleton(14 ^ []), 15 ^ [] = 14 ^ []],extension(17,bind([[_20248, _20380, _20190], [set_union2(singleton(14 ^ []), empty_set), 15 ^ [], 14 ^ []]]))).
% 186.37/180.37 cnf('1.2.2.1.1.2.1',plain,[-(set_union2(singleton(14 ^ []), empty_set) = singleton(14 ^ []))],extension(2,bind([[_25857], [singleton(14 ^ [])]]))).
% 186.37/180.37 cnf('1.2.2.1.1.2.2',plain,[-(15 ^ [] = 14 ^ [])],reduction('1.2.2')).
% 186.37/180.37 cnf('1.2.2.1.2',plain,[-(singleton(15 ^ []) = set_union2(singleton(14 ^ []), empty_set)), in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(15 ^ [])), in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(14 ^ []))],extension(9,bind([[_20810, _20741, _20671], [singleton(15 ^ []), empty_set, singleton(14 ^ [])]]))).
% 186.37/180.37 cnf('1.2.2.1.2.1',plain,[-(in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(15 ^ []))), -(singleton(15 ^ []) = set_union2(singleton(14 ^ []), empty_set)), -(in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(14 ^ []))), -(in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], empty_set))],extension(22,bind([[_20810, _20671, _20741], [singleton(15 ^ []), singleton(14 ^ []), empty_set]]))).
% 186.37/180.37 cnf('1.2.2.1.2.1.1',plain,[singleton(15 ^ []) = set_union2(singleton(14 ^ []), empty_set)],reduction('1.2.2.1')).
% 186.37/180.37 cnf('1.2.2.1.2.1.2',plain,[in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(14 ^ [])), -(in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(15 ^ []))), 2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])] = 2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(14 ^ []) = singleton(15 ^ [])],extension(10,bind([[_15050, _15117, _15183, _15248], [2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], 2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(14 ^ []), singleton(15 ^ [])]]))).
% 186.37/180.37 cnf('1.2.2.1.2.1.2.1',plain,[in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(15 ^ []))],reduction('1.2.2.1.2')).
% 186.37/180.37 cnf('1.2.2.1.2.1.2.2',plain,[-(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])] = 2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])])],extension(23,bind([[_12860], [2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])]]]))).
% 186.37/180.37 cnf('1.2.2.1.2.1.2.3',plain,[-(singleton(14 ^ []) = singleton(15 ^ [])), 14 ^ [] = 15 ^ []],extension(11,bind([[_17724, _17773], [14 ^ [], 15 ^ []]]))).
% 186.37/180.37 cnf('1.2.2.1.2.1.2.3.1',plain,[-(14 ^ [] = 15 ^ [])],reduction('1.2')).
% 186.37/180.37 cnf('1.2.2.1.2.1.3',plain,[in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], empty_set), empty(empty_set)],extension(24,bind([[_26986, _27032], [2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], empty_set]]))).
% 186.37/180.37 cnf('1.2.2.1.2.1.3.1',plain,[-(empty(empty_set))],extension(15)).
% 186.37/180.37 cnf('1.2.2.1.2.2',plain,[-(in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(14 ^ []))), -(singleton(15 ^ []) = set_union2(singleton(14 ^ []), empty_set)), -(in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(15 ^ []))), -(in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], empty_set))],extension(22,bind([[_20810, _20671, _20741], [singleton(15 ^ []), singleton(14 ^ []), empty_set]]))).
% 186.37/180.37 cnf('1.2.2.1.2.2.1',plain,[singleton(15 ^ []) = set_union2(singleton(14 ^ []), empty_set)],reduction('1.2.2.1')).
% 186.37/180.37 cnf('1.2.2.1.2.2.2',plain,[in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(15 ^ [])), -(in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(14 ^ []))), 2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])] = 2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(15 ^ []) = singleton(14 ^ [])],extension(10,bind([[_15050, _15117, _15183, _15248], [2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], 2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(15 ^ []), singleton(14 ^ [])]]))).
% 186.37/180.37 cnf('1.2.2.1.2.2.2.1',plain,[in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(14 ^ []))],reduction('1.2.2.1.2')).
% 186.37/180.37 cnf('1.2.2.1.2.2.2.2',plain,[-(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])] = 2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])])],extension(23,bind([[_12860], [2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])]]]))).
% 186.37/180.37 cnf('1.2.2.1.2.2.2.3',plain,[-(singleton(15 ^ []) = singleton(14 ^ [])), 15 ^ [] = 14 ^ []],extension(11,bind([[_17724, _17773], [15 ^ [], 14 ^ []]]))).
% 186.37/180.37 cnf('1.2.2.1.2.2.2.3.1',plain,[-(15 ^ [] = 14 ^ [])],reduction('1.2.2')).
% 186.37/180.37 cnf('1.2.2.1.2.2.3',plain,[in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], empty_set), -(singleton(15 ^ []) = set_union2(singleton(14 ^ []), empty_set)), in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(15 ^ []))],extension(13,bind([[_20741, _20671, _20810], [empty_set, singleton(14 ^ []), singleton(15 ^ [])]]))).
% 186.37/180.37 cnf('1.2.2.1.2.2.3.1',plain,[singleton(15 ^ []) = set_union2(singleton(14 ^ []), empty_set)],lemmata('1.2.2.1.2.2')).
% 186.37/180.37 cnf('1.2.2.1.2.2.3.2',plain,[-(in(2 ^ [singleton(15 ^ []), empty_set, singleton(14 ^ [])], singleton(15 ^ [])))],lemmata('1.2.2.1.2')).
% 186.37/180.37 %-----------------------------------------------------
% 186.37/180.37
% 186.37/180.37 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------