TSTP Solution File: SEU151+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU151+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 12:00:30 EDT 2022
% Result : Theorem 0.81s 1.40s
% Output : Proof 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU151+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 14:35:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.81/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.41
% 0.81/1.41 %-----------------------------------------------------
% 0.81/1.41 fof(t10_zfmisc_1, conjecture, ! [_84474, _84477, _84480, _84483] : ~ (unordered_pair(_84474, _84477) = unordered_pair(_84480, _84483) & (! _84474) = _84480 & (! _84474) = _84483), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t10_zfmisc_1)).
% 0.81/1.41 fof(d1_xboole_0, axiom, ! [_84781] : (_84781 = empty_set <=> ! [_84795] : ~ in(_84795, _84781)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_xboole_0)).
% 0.81/1.41 fof(d2_tarski, axiom, ! [_84954, _84957, _84960] : (_84960 = unordered_pair(_84954, _84957) <=> ! [_84981] : (in(_84981, _84960) <=> _84981 = _84954 | _84981 = _84957)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 0.81/1.41 fof(d2_xboole_0, axiom, ! [_85219, _85222, _85225] : (_85225 = set_union2(_85219, _85222) <=> ! [_85246] : (in(_85246, _85225) <=> in(_85246, _85219) | in(_85246, _85222))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.81/1.41 fof(t1_boole, axiom, ! [_85519] : set_union2(_85519, empty_set) = _85519, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_boole)).
% 0.81/1.41
% 0.81/1.41 cnf(1, plain, [-(unordered_pair(14 ^ [], 15 ^ []) = unordered_pair(16 ^ [], 17 ^ []))], clausify(t10_zfmisc_1)).
% 0.81/1.41 cnf(2, plain, [14 ^ [] = 16 ^ []], clausify(t10_zfmisc_1)).
% 0.81/1.41 cnf(3, plain, [14 ^ [] = 17 ^ []], clausify(t10_zfmisc_1)).
% 0.81/1.41 cnf(4, plain, [-(set_union2(_31905, _32038) = set_union2(_31972, _32103)), _31905 = _31972, _32038 = _32103], theory(equality)).
% 0.81/1.41 cnf(5, plain, [-(_26530 = _26530)], theory(equality)).
% 0.81/1.41 cnf(6, plain, [_36050 = empty_set, in(_36156, _36050)], clausify(d1_xboole_0)).
% 0.81/1.41 cnf(7, plain, [_36994 = unordered_pair(_36855, _36925), -(in(_37158, _36994)), _37158 = _36855], clausify(d2_tarski)).
% 0.81/1.41 cnf(8, plain, [_36994 = unordered_pair(_36855, _36925), in(_37158, _36994), -(_37158 = _36855), -(_37158 = _36925)], clausify(d2_tarski)).
% 0.81/1.41 cnf(9, plain, [_37679 = set_union2(_37540, _37610), in(_37843, _37679), -(in(_37843, _37540)), -(in(_37843, _37610))], clausify(d2_xboole_0)).
% 0.81/1.41 cnf(10, plain, [-(set_union2(_47219, empty_set) = _47219)], clausify(t1_boole)).
% 0.81/1.41
% 0.81/1.41 cnf('1',plain,[empty_set = empty_set, in(14 ^ [], empty_set)],start(6,bind([[_36156, _36050], [14 ^ [], empty_set]]))).
% 0.81/1.41 cnf('1.1',plain,[-(empty_set = empty_set)],extension(5,bind([[_26530], [empty_set]]))).
% 0.81/1.41 cnf('1.2',plain,[-(in(14 ^ [], empty_set)), set_union2(unordered_pair(14 ^ [], 15 ^ []), empty_set) = set_union2(unordered_pair(16 ^ [], 17 ^ []), empty_set), in(14 ^ [], set_union2(unordered_pair(14 ^ [], 15 ^ []), empty_set)), -(in(14 ^ [], unordered_pair(16 ^ [], 17 ^ [])))],extension(9,bind([[_37610, _37679, _37843, _37540], [empty_set, set_union2(unordered_pair(14 ^ [], 15 ^ []), empty_set), 14 ^ [], unordered_pair(16 ^ [], 17 ^ [])]]))).
% 0.81/1.41 cnf('1.2.1',plain,[-(set_union2(unordered_pair(14 ^ [], 15 ^ []), empty_set) = set_union2(unordered_pair(16 ^ [], 17 ^ []), empty_set)), unordered_pair(14 ^ [], 15 ^ []) = unordered_pair(16 ^ [], 17 ^ []), empty_set = empty_set],extension(4,bind([[_31905, _31972, _32038, _32103], [unordered_pair(14 ^ [], 15 ^ []), unordered_pair(16 ^ [], 17 ^ []), empty_set, empty_set]]))).
% 0.81/1.41 cnf('1.2.1.1',plain,[-(unordered_pair(14 ^ [], 15 ^ []) = unordered_pair(16 ^ [], 17 ^ []))],extension(1)).
% 0.81/1.41 cnf('1.2.1.2',plain,[-(empty_set = empty_set)],extension(5,bind([[_26530], [empty_set]]))).
% 0.81/1.41 cnf('1.2.2',plain,[-(in(14 ^ [], set_union2(unordered_pair(14 ^ [], 15 ^ []), empty_set))), set_union2(unordered_pair(14 ^ [], 15 ^ []), empty_set) = unordered_pair(14 ^ [], 15 ^ []), 14 ^ [] = 14 ^ []],extension(7,bind([[_36994, _36925, _37158, _36855], [set_union2(unordered_pair(14 ^ [], 15 ^ []), empty_set), 15 ^ [], 14 ^ [], 14 ^ []]]))).
% 0.81/1.41 cnf('1.2.2.1',plain,[-(set_union2(unordered_pair(14 ^ [], 15 ^ []), empty_set) = unordered_pair(14 ^ [], 15 ^ []))],extension(10,bind([[_47219], [unordered_pair(14 ^ [], 15 ^ [])]]))).
% 0.81/1.41 cnf('1.2.2.2',plain,[-(14 ^ [] = 14 ^ [])],extension(5,bind([[_26530], [14 ^ []]]))).
% 0.81/1.41 cnf('1.2.3',plain,[in(14 ^ [], unordered_pair(16 ^ [], 17 ^ [])), unordered_pair(16 ^ [], 17 ^ []) = unordered_pair(16 ^ [], 17 ^ []), -(14 ^ [] = 16 ^ []), -(14 ^ [] = 17 ^ [])],extension(8,bind([[_36994, _36855, _37158, _36925], [unordered_pair(16 ^ [], 17 ^ []), 16 ^ [], 14 ^ [], 17 ^ []]]))).
% 0.81/1.41 cnf('1.2.3.1',plain,[-(unordered_pair(16 ^ [], 17 ^ []) = unordered_pair(16 ^ [], 17 ^ []))],extension(5,bind([[_26530], [unordered_pair(16 ^ [], 17 ^ [])]]))).
% 0.81/1.41 cnf('1.2.3.2',plain,[14 ^ [] = 16 ^ []],extension(2)).
% 0.81/1.41 cnf('1.2.3.3',plain,[14 ^ [] = 17 ^ []],extension(3)).
% 0.81/1.41 %-----------------------------------------------------
% 0.81/1.42
% 0.81/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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