TSTP Solution File: SEU144+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU144+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 12:00:25 EDT 2022
% Result : Theorem 32.77s 32.48s
% Output : Proof 32.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU144+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 17:01:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 32.77/32.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.77/32.48 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.77/32.49
% 32.77/32.49 %-----------------------------------------------------
% 32.77/32.49 fof(l2_zfmisc_1, conjecture, ! [_93210, _93213] : (subset(singleton(_93210), _93213) <=> in(_93210, _93213)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l2_zfmisc_1)).
% 32.77/32.49 fof(d4_xboole_0, axiom, ! [_93411, _93414, _93417] : (_93417 = set_difference(_93411, _93414) <=> ! [_93438] : (in(_93438, _93417) <=> in(_93438, _93411) & ~ in(_93438, _93414))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 32.77/32.49 fof(d3_tarski, axiom, ! [_93718, _93721] : (subset(_93718, _93721) <=> ! [_93739] : (in(_93739, _93718) => in(_93739, _93721))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 32.77/32.49 fof(d2_tarski, axiom, ! [_93948, _93951, _93954] : (_93954 = unordered_pair(_93948, _93951) <=> ! [_93975] : (in(_93975, _93954) <=> _93975 = _93948 | _93975 = _93951)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 32.77/32.49 fof(d1_tarski, axiom, ! [_94224, _94227] : (_94227 = singleton(_94224) <=> ! [_94245] : (in(_94245, _94227) <=> _94245 = _94224)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 32.77/32.49 fof(d1_xboole_0, axiom, ! [_94531] : (_94531 = empty_set <=> ! [_94545] : ~ in(_94545, _94531)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_xboole_0)).
% 32.77/32.49 fof(l32_xboole_1, lemma, ! [_94755, _94758] : (set_difference(_94755, _94758) = empty_set <=> subset(_94755, _94758)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l32_xboole_1)).
% 32.77/32.49 fof(t3_boole, axiom, ! [_94932] : set_difference(_94932, empty_set) = _94932, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_boole)).
% 32.77/32.49 fof(t4_boole, axiom, ! [_95057] : set_difference(empty_set, _95057) = empty_set, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_boole)).
% 32.77/32.49 fof(t69_enumset1, lemma, ! [_95180] : unordered_pair(_95180, _95180) = singleton(_95180), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t69_enumset1)).
% 32.77/32.49
% 32.77/32.49 cnf(1, plain, [-(41 ^ []), subset(singleton(38 ^ []), 39 ^ [])], clausify(l2_zfmisc_1)).
% 32.77/32.49 cnf(2, plain, [-(41 ^ []), -(in(38 ^ [], 39 ^ []))], clausify(l2_zfmisc_1)).
% 32.77/32.49 cnf(3, plain, [-(40 ^ []), in(38 ^ [], 39 ^ [])], clausify(l2_zfmisc_1)).
% 32.77/32.49 cnf(4, plain, [-(40 ^ []), -(subset(singleton(38 ^ []), 39 ^ []))], clausify(l2_zfmisc_1)).
% 32.77/32.49 cnf(5, plain, [-(24 ^ [_35512, _35346, _35275, _35203]), in(_35512, _35275)], clausify(d4_xboole_0)).
% 32.77/32.49 cnf(6, plain, [-(24 ^ [_35512, _35346, _35275, _35203]), -(in(_35512, _35203))], clausify(d4_xboole_0)).
% 32.77/32.49 cnf(7, plain, [-(25 ^ [_35346, _35275, _35203]), -(in(_35512, _35346)), in(_35512, _35203), -(in(_35512, _35275))], clausify(d4_xboole_0)).
% 32.77/32.49 cnf(8, plain, [-(25 ^ [_35346, _35275, _35203]), in(_35512, _35346), 24 ^ [_35512, _35346, _35275, _35203]], clausify(d4_xboole_0)).
% 32.77/32.49 cnf(9, plain, [-(18 ^ [_34113, _34057]), in(17 ^ [_34113, _34057], _34113)], clausify(d3_tarski)).
% 32.77/32.49 cnf(10, plain, [-(18 ^ [_34113, _34057]), -(in(17 ^ [_34113, _34057], _34057))], clausify(d3_tarski)).
% 32.77/32.49 cnf(11, plain, [-(7 ^ [_32990, _32826, _32757, _32687]), _32990 = _32757], clausify(d2_tarski)).
% 32.77/32.49 cnf(12, plain, [-(8 ^ [_32826, _32757, _32687]), in(_32990, _32826), -(_32990 = _32687), -(_32990 = _32757)], clausify(d2_tarski)).
% 32.77/32.49 cnf(13, plain, [-(8 ^ [_32826, _32757, _32687]), -(in(_32990, _32826)), 7 ^ [_32990, _32826, _32757, _32687]], clausify(d2_tarski)).
% 32.77/32.49 cnf(14, plain, [-(2 ^ [_31940, _31882]), -(in(_32072, _31940)), _32072 = _31882], clausify(d1_tarski)).
% 32.77/32.49 cnf(15, plain, [40 ^ [], 41 ^ []], clausify(l2_zfmisc_1)).
% 32.77/32.49 cnf(16, plain, [-(set_difference(_26985, _27118) = set_difference(_27052, _27183)), _26985 = _27052, _27118 = _27183], theory(equality)).
% 32.77/32.49 cnf(17, plain, [-(unordered_pair(_29176, _29309) = unordered_pair(_29243, _29374)), _29176 = _29243, _29309 = _29374], theory(equality)).
% 32.77/32.49 cnf(18, plain, [-(_23187 = _23187)], theory(equality)).
% 32.77/32.49 cnf(19, plain, [_23340 = _23385, -(_23385 = _23340)], theory(equality)).
% 32.77/32.49 cnf(20, plain, [-(in(_25115, _25246)), in(_25048, _25181), _25048 = _25115, _25181 = _25246], theory(equality)).
% 32.77/32.49 cnf(21, plain, [_31940 = singleton(_31882), 2 ^ [_31940, _31882]], clausify(d1_tarski)).
% 32.77/32.49 cnf(22, plain, [_32363 = empty_set, in(_32469, _32363)], clausify(d1_xboole_0)).
% 32.77/32.49 cnf(23, plain, [_32826 = unordered_pair(_32687, _32757), 8 ^ [_32826, _32757, _32687]], clausify(d2_tarski)).
% 32.77/32.49 cnf(24, plain, [-(subset(_34057, _34113)), 18 ^ [_34113, _34057]], clausify(d3_tarski)).
% 32.77/32.49 cnf(25, plain, [_35346 = set_difference(_35203, _35275), 25 ^ [_35346, _35275, _35203]], clausify(d4_xboole_0)).
% 32.77/32.49 cnf(26, plain, [-(set_difference(_39273, _39321) = empty_set), subset(_39273, _39321)], clausify(l32_xboole_1)).
% 32.77/32.49 cnf(27, plain, [-(set_difference(_45407, empty_set) = _45407)], clausify(t3_boole)).
% 32.77/32.49 cnf(28, plain, [-(set_difference(empty_set, _47844) = empty_set)], clausify(t4_boole)).
% 32.77/32.49 cnf(29, plain, [-(unordered_pair(_49630, _49630) = singleton(_49630))], clausify(t69_enumset1)).
% 32.77/32.49
% 32.77/32.49 cnf('1',plain,[40 ^ [], 41 ^ []],start(15)).
% 32.77/32.49 cnf('1.1',plain,[-(40 ^ []), in(38 ^ [], 39 ^ [])],extension(3)).
% 32.77/32.49 cnf('1.1.1',plain,[-(in(38 ^ [], 39 ^ [])), -(25 ^ [set_difference(singleton(38 ^ []), 39 ^ []), 39 ^ [], singleton(38 ^ [])]), -(in(38 ^ [], set_difference(singleton(38 ^ []), 39 ^ []))), in(38 ^ [], singleton(38 ^ []))],extension(7,bind([[_35275, _35346, _35512, _35203], [39 ^ [], set_difference(singleton(38 ^ []), 39 ^ []), 38 ^ [], singleton(38 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.1',plain,[25 ^ [set_difference(singleton(38 ^ []), 39 ^ []), 39 ^ [], singleton(38 ^ [])], set_difference(singleton(38 ^ []), 39 ^ []) = set_difference(singleton(38 ^ []), 39 ^ [])],extension(25,bind([[_35346, _35203, _35275], [set_difference(singleton(38 ^ []), 39 ^ []), singleton(38 ^ []), 39 ^ []]]))).
% 32.77/32.49 cnf('1.1.1.1.1',plain,[-(set_difference(singleton(38 ^ []), 39 ^ []) = set_difference(singleton(38 ^ []), 39 ^ [])), -(8 ^ [unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])]), in(set_difference(singleton(38 ^ []), 39 ^ []), unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ []))), -(set_difference(singleton(38 ^ []), 39 ^ []) = set_difference(singleton(38 ^ []), 39 ^ []))],extension(12,bind([[_32687, _32826, _32990, _32757], [set_difference(singleton(38 ^ []), 39 ^ []), unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.1.1.1',plain,[8 ^ [unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])], unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])) = unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ []))],extension(23,bind([[_32826, _32687, _32757], [unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.1.1.1.1',plain,[-(unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])) = unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ []))), set_difference(singleton(38 ^ []), 39 ^ []) = set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ []) = set_difference(singleton(38 ^ []), 39 ^ [])],extension(17,bind([[_29176, _29243, _29309, _29374], [set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.1.1.1.1.1',plain,[-(set_difference(singleton(38 ^ []), 39 ^ []) = set_difference(singleton(38 ^ []), 39 ^ []))],extension(18,bind([[_23187], [set_difference(singleton(38 ^ []), 39 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.1.1.1.1.2',plain,[-(set_difference(singleton(38 ^ []), 39 ^ []) = set_difference(singleton(38 ^ []), 39 ^ []))],extension(18,bind([[_23187], [set_difference(singleton(38 ^ []), 39 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.1.1.2',plain,[-(in(set_difference(singleton(38 ^ []), 39 ^ []), unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])))), -(8 ^ [unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])]), 7 ^ [set_difference(singleton(38 ^ []), 39 ^ []), unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])]],extension(13,bind([[_32990, _32826, _32757, _32687], [set_difference(singleton(38 ^ []), 39 ^ []), unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.1.1.2.1',plain,[8 ^ [unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])], unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])) = unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ []))],extension(23,bind([[_32826, _32687, _32757], [unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.1.1.2.1.1',plain,[-(unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])) = unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])))],extension(18,bind([[_23187], [unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ []))]]))).
% 32.77/32.49 cnf('1.1.1.1.1.2.2',plain,[-(7 ^ [set_difference(singleton(38 ^ []), 39 ^ []), unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])]), set_difference(singleton(38 ^ []), 39 ^ []) = set_difference(singleton(38 ^ []), 39 ^ [])],extension(11,bind([[_32826, _32687, _32990, _32757], [unordered_pair(set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.1.1.2.2.1',plain,[-(set_difference(singleton(38 ^ []), 39 ^ []) = set_difference(singleton(38 ^ []), 39 ^ []))],extension(18,bind([[_23187], [set_difference(singleton(38 ^ []), 39 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.1.1.3',plain,[set_difference(singleton(38 ^ []), 39 ^ []) = set_difference(singleton(38 ^ []), 39 ^ [])],reduction('1.1.1.1')).
% 32.77/32.49 cnf('1.1.1.2',plain,[in(38 ^ [], set_difference(singleton(38 ^ []), 39 ^ [])), -(24 ^ [38 ^ [], set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), _71216])],extension(5,bind([[_35512, _35346, _35275, _35203], [38 ^ [], set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), _71216]]))).
% 32.77/32.49 cnf('1.1.1.2.1',plain,[24 ^ [38 ^ [], set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), _71216], -(25 ^ [set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), _71216]), in(38 ^ [], set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])))],extension(8,bind([[_35275, _35203, _35512, _35346], [set_difference(singleton(38 ^ []), 39 ^ []), _71216, 38 ^ [], set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))]]))).
% 32.77/32.49 cnf('1.1.1.2.1.1',plain,[25 ^ [set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(singleton(38 ^ []), 39 ^ []), _71216], set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])) = set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))],extension(25,bind([[_35346, _35203, _35275], [set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])), _71216, set_difference(singleton(38 ^ []), 39 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.2.1.1.1',plain,[-(set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])) = set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))), _71216 = _71216, set_difference(singleton(38 ^ []), 39 ^ []) = set_difference(singleton(38 ^ []), 39 ^ [])],extension(16,bind([[_26985, _27052, _27118, _27183], [_71216, _71216, set_difference(singleton(38 ^ []), 39 ^ []), set_difference(singleton(38 ^ []), 39 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.2.1.1.1.1',plain,[-(_71216 = _71216)],extension(18,bind([[_23187], [_71216]]))).
% 32.77/32.49 cnf('1.1.1.2.1.1.1.2',plain,[-(set_difference(singleton(38 ^ []), 39 ^ []) = set_difference(singleton(38 ^ []), 39 ^ []))],extension(18,bind([[_23187], [set_difference(singleton(38 ^ []), 39 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.2.1.2',plain,[-(in(38 ^ [], set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])))), -(25 ^ [set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))), set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])), empty_set]), -(in(38 ^ [], set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))))), in(38 ^ [], empty_set)],extension(7,bind([[_35275, _35346, _35512, _35203], [set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])), set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))), 38 ^ [], empty_set]]))).
% 32.77/32.49 cnf('1.1.1.2.1.2.1',plain,[25 ^ [set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))), set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])), empty_set], set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))) = set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])))],extension(25,bind([[_35346, _35203, _35275], [set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))), empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))]]))).
% 32.77/32.49 cnf('1.1.1.2.1.2.1.1',plain,[-(set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))) = set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))))],extension(18,bind([[_23187], [set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])))]]))).
% 32.77/32.49 cnf('1.1.1.2.1.2.2',plain,[in(38 ^ [], set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])))), set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))) = empty_set],extension(22,bind([[_32469, _32363], [38 ^ [], set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ [])))]]))).
% 32.77/32.49 cnf('1.1.1.2.1.2.2.1',plain,[-(set_difference(empty_set, set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))) = empty_set)],extension(28,bind([[_47844], [set_difference(_71216, set_difference(singleton(38 ^ []), 39 ^ []))]]))).
% 32.77/32.49 cnf('1.1.1.2.1.2.3',plain,[-(in(38 ^ [], empty_set)), in(38 ^ [], set_difference(singleton(38 ^ []), 39 ^ [])), 38 ^ [] = 38 ^ [], set_difference(singleton(38 ^ []), 39 ^ []) = empty_set],extension(20,bind([[_25048, _25115, _25181, _25246], [38 ^ [], 38 ^ [], set_difference(singleton(38 ^ []), 39 ^ []), empty_set]]))).
% 32.77/32.49 cnf('1.1.1.2.1.2.3.1',plain,[-(in(38 ^ [], set_difference(singleton(38 ^ []), 39 ^ [])))],reduction('1.1.1')).
% 32.77/32.49 cnf('1.1.1.2.1.2.3.2',plain,[-(38 ^ [] = 38 ^ [])],extension(18,bind([[_23187], [38 ^ []]]))).
% 32.77/32.49 cnf('1.1.1.2.1.2.3.3',plain,[-(set_difference(singleton(38 ^ []), 39 ^ []) = empty_set), subset(singleton(38 ^ []), 39 ^ [])],extension(26,bind([[_39273, _39321], [singleton(38 ^ []), 39 ^ []]]))).
% 32.77/32.49 cnf('1.1.1.2.1.2.3.3.1',plain,[-(subset(singleton(38 ^ []), 39 ^ [])), -(40 ^ [])],extension(4)).
% 32.77/32.49 cnf('1.1.1.2.1.2.3.3.1.1',plain,[40 ^ []],reduction('1')).
% 32.77/32.49 cnf('1.1.1.3',plain,[-(in(38 ^ [], singleton(38 ^ []))), -(24 ^ [38 ^ [], set_difference(singleton(38 ^ []), empty_set), empty_set, singleton(38 ^ [])])],extension(6,bind([[_35512, _35346, _35275, _35203], [38 ^ [], set_difference(singleton(38 ^ []), empty_set), empty_set, singleton(38 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.3.1',plain,[24 ^ [38 ^ [], set_difference(singleton(38 ^ []), empty_set), empty_set, singleton(38 ^ [])], -(25 ^ [set_difference(singleton(38 ^ []), empty_set), empty_set, singleton(38 ^ [])]), in(38 ^ [], set_difference(singleton(38 ^ []), empty_set))],extension(8,bind([[_35275, _35203, _35512, _35346], [empty_set, singleton(38 ^ []), 38 ^ [], set_difference(singleton(38 ^ []), empty_set)]]))).
% 32.77/32.49 cnf('1.1.1.3.1.1',plain,[25 ^ [set_difference(singleton(38 ^ []), empty_set), empty_set, singleton(38 ^ [])], set_difference(singleton(38 ^ []), empty_set) = set_difference(singleton(38 ^ []), empty_set)],extension(25,bind([[_35346, _35203, _35275], [set_difference(singleton(38 ^ []), empty_set), singleton(38 ^ []), empty_set]]))).
% 32.77/32.49 cnf('1.1.1.3.1.1.1',plain,[-(set_difference(singleton(38 ^ []), empty_set) = set_difference(singleton(38 ^ []), empty_set)), singleton(38 ^ []) = singleton(38 ^ []), empty_set = empty_set],extension(16,bind([[_26985, _27052, _27118, _27183], [singleton(38 ^ []), singleton(38 ^ []), empty_set, empty_set]]))).
% 32.77/32.49 cnf('1.1.1.3.1.1.1.1',plain,[-(singleton(38 ^ []) = singleton(38 ^ []))],extension(18,bind([[_23187], [singleton(38 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.3.1.1.1.2',plain,[-(empty_set = empty_set)],extension(18,bind([[_23187], [empty_set]]))).
% 32.77/32.49 cnf('1.1.1.3.1.2',plain,[-(in(38 ^ [], set_difference(singleton(38 ^ []), empty_set))), -(2 ^ [set_difference(singleton(38 ^ []), empty_set), 38 ^ []]), 38 ^ [] = 38 ^ []],extension(14,bind([[_31940, _32072, _31882], [set_difference(singleton(38 ^ []), empty_set), 38 ^ [], 38 ^ []]]))).
% 32.77/32.49 cnf('1.1.1.3.1.2.1',plain,[2 ^ [set_difference(singleton(38 ^ []), empty_set), 38 ^ []], set_difference(singleton(38 ^ []), empty_set) = singleton(38 ^ [])],extension(21,bind([[_31940, _31882], [set_difference(singleton(38 ^ []), empty_set), 38 ^ []]]))).
% 32.77/32.49 cnf('1.1.1.3.1.2.1.1',plain,[-(set_difference(singleton(38 ^ []), empty_set) = singleton(38 ^ []))],extension(27,bind([[_45407], [singleton(38 ^ [])]]))).
% 32.77/32.49 cnf('1.1.1.3.1.2.2',plain,[-(38 ^ [] = 38 ^ [])],extension(18,bind([[_23187], [38 ^ []]]))).
% 32.77/32.49 cnf('1.2',plain,[-(41 ^ []), subset(singleton(38 ^ []), 39 ^ [])],extension(1)).
% 32.77/32.49 cnf('1.2.1',plain,[-(subset(singleton(38 ^ []), 39 ^ [])), 18 ^ [39 ^ [], singleton(38 ^ [])]],extension(24,bind([[_34113, _34057], [39 ^ [], singleton(38 ^ [])]]))).
% 32.77/32.49 cnf('1.2.1.1',plain,[-(18 ^ [39 ^ [], singleton(38 ^ [])]), -(in(17 ^ [39 ^ [], singleton(38 ^ [])], singleton(38 ^ [])))],extension(10,bind([[_34113, _34057], [39 ^ [], singleton(38 ^ [])]]))).
% 32.77/32.49 cnf('1.2.1.1.1',plain,[in(17 ^ [39 ^ [], singleton(38 ^ [])], singleton(38 ^ [])), -(8 ^ [singleton(38 ^ []), 38 ^ [], 38 ^ []]), -(17 ^ [39 ^ [], singleton(38 ^ [])] = 38 ^ []), -(17 ^ [39 ^ [], singleton(38 ^ [])] = 38 ^ [])],extension(12,bind([[_32826, _32687, _32990, _32757], [singleton(38 ^ []), 38 ^ [], 17 ^ [39 ^ [], singleton(38 ^ [])], 38 ^ []]]))).
% 32.77/32.49 cnf('1.2.1.1.1.1',plain,[8 ^ [singleton(38 ^ []), 38 ^ [], 38 ^ []], singleton(38 ^ []) = unordered_pair(38 ^ [], 38 ^ [])],extension(23,bind([[_32826, _32687, _32757], [singleton(38 ^ []), 38 ^ [], 38 ^ []]]))).
% 32.77/32.49 cnf('1.2.1.1.1.1.1',plain,[-(singleton(38 ^ []) = unordered_pair(38 ^ [], 38 ^ [])), unordered_pair(38 ^ [], 38 ^ []) = singleton(38 ^ [])],extension(19,bind([[_23340, _23385], [unordered_pair(38 ^ [], 38 ^ []), singleton(38 ^ [])]]))).
% 32.77/32.49 cnf('1.2.1.1.1.1.1.1',plain,[-(unordered_pair(38 ^ [], 38 ^ []) = singleton(38 ^ []))],extension(29,bind([[_49630], [38 ^ []]]))).
% 32.77/32.49 cnf('1.2.1.1.1.2',plain,[17 ^ [39 ^ [], singleton(38 ^ [])] = 38 ^ [], -(38 ^ [] = 17 ^ [39 ^ [], singleton(38 ^ [])])],extension(19,bind([[_23385, _23340], [38 ^ [], 17 ^ [39 ^ [], singleton(38 ^ [])]]]))).
% 32.77/32.49 cnf('1.2.1.1.1.2.1',plain,[38 ^ [] = 17 ^ [39 ^ [], singleton(38 ^ [])], -(in(17 ^ [39 ^ [], singleton(38 ^ [])], 39 ^ [])), in(38 ^ [], 39 ^ []), 39 ^ [] = 39 ^ []],extension(20,bind([[_25115, _25048, _25181, _25246], [17 ^ [39 ^ [], singleton(38 ^ [])], 38 ^ [], 39 ^ [], 39 ^ []]]))).
% 32.77/32.49 cnf('1.2.1.1.1.2.1.1',plain,[in(17 ^ [39 ^ [], singleton(38 ^ [])], 39 ^ []), -(18 ^ [39 ^ [], singleton(38 ^ [])])],extension(9,bind([[_34113, _34057], [39 ^ [], singleton(38 ^ [])]]))).
% 32.77/32.49 cnf('1.2.1.1.1.2.1.1.1',plain,[18 ^ [39 ^ [], singleton(38 ^ [])]],reduction('1.2.1')).
% 32.77/32.49 cnf('1.2.1.1.1.2.1.2',plain,[-(in(38 ^ [], 39 ^ [])), -(41 ^ [])],extension(2)).
% 32.77/32.49 cnf('1.2.1.1.1.2.1.2.1',plain,[41 ^ []],reduction('1')).
% 32.77/32.49 cnf('1.2.1.1.1.2.1.3',plain,[-(39 ^ [] = 39 ^ [])],extension(18,bind([[_23187], [39 ^ []]]))).
% 32.77/32.49 cnf('1.2.1.1.1.3',plain,[17 ^ [39 ^ [], singleton(38 ^ [])] = 38 ^ []],lemmata('1.2.1.1.1')).
% 32.77/32.49 %-----------------------------------------------------
% 32.77/32.49
% 32.77/32.50 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------