TSTP Solution File: SET909+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET909+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 02:56:59 EDT 2022
% Result : Theorem 0.35s 1.45s
% Output : Proof 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET909+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 16:36:58 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.35/1.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/1.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/1.46
% 0.44/1.46 %-----------------------------------------------------
% 0.44/1.46 fof(t50_zfmisc_1, conjecture, ! [_22163, _22166, _22169] : (! set_union2(unordered_pair(_22163, _22166), _22169)) = empty_set, file('/export/starexec/sandbox/benchmark/theBenchmark.p', t50_zfmisc_1)).
% 0.44/1.46 fof(d1_xboole_0, axiom, ! [_22359] : (_22359 = empty_set <=> ! [_22373] : ~ in(_22373, _22359)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_xboole_0)).
% 0.44/1.46 fof(d2_tarski, axiom, ! [_22528, _22531, _22534] : (_22534 = unordered_pair(_22528, _22531) <=> ! [_22555] : (in(_22555, _22534) <=> _22555 = _22528 | _22555 = _22531)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_tarski)).
% 0.44/1.46 fof(d2_xboole_0, axiom, ! [_22786, _22789, _22792] : (_22792 = set_union2(_22786, _22789) <=> ! [_22813] : (in(_22813, _22792) <=> in(_22813, _22786) | in(_22813, _22789))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.44/1.46
% 0.44/1.46 cnf(1, plain, [-(set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []) = empty_set)], clausify(t50_zfmisc_1)).
% 0.44/1.46 cnf(2, plain, [-(set_union2(_8593, _8726) = set_union2(_8660, _8791)), _8593 = _8660, _8726 = _8791], theory(equality)).
% 0.44/1.46 cnf(3, plain, [-(_6712 = _6712)], theory(equality)).
% 0.44/1.46 cnf(4, plain, [_10832 = empty_set, in(_10938, _10832)], clausify(d1_xboole_0)).
% 0.44/1.46 cnf(5, plain, [_11295 = unordered_pair(_11156, _11226), -(in(_11459, _11295)), _11459 = _11156], clausify(d2_tarski)).
% 0.44/1.46 cnf(6, plain, [_11980 = set_union2(_11841, _11911), -(in(_12144, _11980)), in(_12144, _11841)], clausify(d2_xboole_0)).
% 0.44/1.46
% 0.44/1.46 cnf('1',plain,[set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []) = empty_set, in(6 ^ [], set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []))],start(4,bind([[_10938, _10832], [6 ^ [], set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 0.44/1.46 cnf('1.1',plain,[-(set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []) = empty_set)],extension(1)).
% 0.44/1.46 cnf('1.2',plain,[-(in(6 ^ [], set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []))), set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []) = set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []), in(6 ^ [], unordered_pair(6 ^ [], 7 ^ []))],extension(6,bind([[_11980, _11911, _12144, _11841], [set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []), 8 ^ [], 6 ^ [], unordered_pair(6 ^ [], 7 ^ [])]]))).
% 0.44/1.46 cnf('1.2.1',plain,[-(set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []) = set_union2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ [])), unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []), 8 ^ [] = 8 ^ []],extension(2,bind([[_8593, _8660, _8726, _8791], [unordered_pair(6 ^ [], 7 ^ []), unordered_pair(6 ^ [], 7 ^ []), 8 ^ [], 8 ^ []]]))).
% 0.44/1.46 cnf('1.2.1.1',plain,[-(unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []))],extension(3,bind([[_6712], [unordered_pair(6 ^ [], 7 ^ [])]]))).
% 0.44/1.46 cnf('1.2.1.2',plain,[-(8 ^ [] = 8 ^ [])],extension(3,bind([[_6712], [8 ^ []]]))).
% 0.44/1.46 cnf('1.2.2',plain,[-(in(6 ^ [], unordered_pair(6 ^ [], 7 ^ []))), unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []), 6 ^ [] = 6 ^ []],extension(5,bind([[_11295, _11226, _11459, _11156], [unordered_pair(6 ^ [], 7 ^ []), 7 ^ [], 6 ^ [], 6 ^ []]]))).
% 0.44/1.46 cnf('1.2.2.1',plain,[-(unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []))],extension(3,bind([[_6712], [unordered_pair(6 ^ [], 7 ^ [])]]))).
% 0.44/1.46 cnf('1.2.2.2',plain,[-(6 ^ [] = 6 ^ [])],extension(3,bind([[_6712], [6 ^ []]]))).
% 0.44/1.46 %-----------------------------------------------------
% 0.44/1.47
% 0.44/1.47 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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