TSTP Solution File: SEU164+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU164+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 12:00:39 EDT 2022
% Result : Theorem 0.42s 1.42s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU164+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.33 % Computer : n012.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 03:17:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.42/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/1.44
% 0.42/1.44 %-----------------------------------------------------
% 0.42/1.44 fof(t99_zfmisc_1, conjecture, ! [_25378] : union(powerset(_25378)) = _25378, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t99_zfmisc_1)).
% 0.42/1.44 fof(d1_zfmisc_1, axiom, ! [_25535, _25538] : (_25538 = powerset(_25535) <=> ! [_25556] : (in(_25556, _25538) <=> subset(_25556, _25535))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 0.42/1.44 fof(d3_tarski, axiom, ! [_25760, _25763] : (subset(_25760, _25763) <=> ! [_25781] : (in(_25781, _25760) => in(_25781, _25763))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.42/1.44 fof(reflexivity_r1_tarski, axiom, ! [_25968, _25971] : subset(_25968, _25968), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 0.42/1.44 fof(d4_tarski, axiom, ! [_26091, _26094] : (_26094 = union(_26091) <=> ! [_26112] : (in(_26112, _26094) <=> ? [_26130] : (in(_26112, _26130) & in(_26130, _26091)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_tarski)).
% 0.42/1.44
% 0.42/1.44 cnf(1, plain, [union(powerset(10 ^ [])) = 10 ^ []], clausify(t99_zfmisc_1)).
% 0.42/1.44 cnf(2, plain, [-(_6505 = _6505)], theory(equality)).
% 0.42/1.44 cnf(3, plain, [_6658 = _6703, -(_6703 = _6658)], theory(equality)).
% 0.42/1.44 cnf(4, plain, [_10937 = powerset(_10879), in(_11069, _10937), -(subset(_11069, _10879))], clausify(d1_zfmisc_1)).
% 0.42/1.44 cnf(5, plain, [_10937 = powerset(_10879), -(in(_11069, _10937)), subset(_11069, _10879)], clausify(d1_zfmisc_1)).
% 0.42/1.44 cnf(6, plain, [subset(_11360, _11416), in(_11530, _11360), -(in(_11530, _11416))], clausify(d3_tarski)).
% 0.42/1.44 cnf(7, plain, [-(subset(_13123, _13123))], clausify(reflexivity_r1_tarski)).
% 0.42/1.44 cnf(8, plain, [-(_11890 = union(_11821)), -(in(5 ^ [_11890, _11821], _11890)), -(in(5 ^ [_11890, _11821], 6 ^ [_11890, _11821]))], clausify(d4_tarski)).
% 0.42/1.44 cnf(9, plain, [-(_11890 = union(_11821)), -(in(5 ^ [_11890, _11821], _11890)), -(in(6 ^ [_11890, _11821], _11821))], clausify(d4_tarski)).
% 0.42/1.44 cnf(10, plain, [-(_11890 = union(_11821)), in(5 ^ [_11890, _11821], _11890), in(5 ^ [_11890, _11821], _15456), in(_15456, _11821)], clausify(d4_tarski)).
% 0.42/1.44
% 0.42/1.44 cnf('1',plain,[union(powerset(10 ^ [])) = 10 ^ []],start(1)).
% 0.42/1.44 cnf('1.1',plain,[-(union(powerset(10 ^ [])) = 10 ^ []), 10 ^ [] = union(powerset(10 ^ []))],extension(3,bind([[_6658, _6703], [10 ^ [], union(powerset(10 ^ []))]]))).
% 0.42/1.44 cnf('1.1.1',plain,[-(10 ^ [] = union(powerset(10 ^ []))), -(in(5 ^ [10 ^ [], powerset(10 ^ [])], 10 ^ [])), -(in(5 ^ [10 ^ [], powerset(10 ^ [])], 6 ^ [10 ^ [], powerset(10 ^ [])]))],extension(8,bind([[_11890, _11821], [10 ^ [], powerset(10 ^ [])]]))).
% 0.42/1.44 cnf('1.1.1.1',plain,[in(5 ^ [10 ^ [], powerset(10 ^ [])], 10 ^ []), -(10 ^ [] = union(powerset(10 ^ []))), in(5 ^ [10 ^ [], powerset(10 ^ [])], 10 ^ []), in(10 ^ [], powerset(10 ^ []))],extension(10,bind([[_11890, _15456, _11821], [10 ^ [], 10 ^ [], powerset(10 ^ [])]]))).
% 0.42/1.44 cnf('1.1.1.1.1',plain,[10 ^ [] = union(powerset(10 ^ []))],reduction('1.1')).
% 0.42/1.44 cnf('1.1.1.1.2',plain,[-(in(5 ^ [10 ^ [], powerset(10 ^ [])], 10 ^ []))],reduction('1.1.1')).
% 0.42/1.44 cnf('1.1.1.1.3',plain,[-(in(10 ^ [], powerset(10 ^ []))), powerset(10 ^ []) = powerset(10 ^ []), subset(10 ^ [], 10 ^ [])],extension(5,bind([[_10937, _11069, _10879], [powerset(10 ^ []), 10 ^ [], 10 ^ []]]))).
% 0.42/1.44 cnf('1.1.1.1.3.1',plain,[-(powerset(10 ^ []) = powerset(10 ^ []))],extension(2,bind([[_6505], [powerset(10 ^ [])]]))).
% 0.42/1.44 cnf('1.1.1.1.3.2',plain,[-(subset(10 ^ [], 10 ^ []))],extension(7,bind([[_13123], [10 ^ []]]))).
% 0.42/1.44 cnf('1.1.1.2',plain,[in(5 ^ [10 ^ [], powerset(10 ^ [])], 6 ^ [10 ^ [], powerset(10 ^ [])]), subset(6 ^ [10 ^ [], powerset(10 ^ [])], 10 ^ []), -(in(5 ^ [10 ^ [], powerset(10 ^ [])], 10 ^ []))],extension(6,bind([[_11360, _11530, _11416], [6 ^ [10 ^ [], powerset(10 ^ [])], 5 ^ [10 ^ [], powerset(10 ^ [])], 10 ^ []]]))).
% 0.42/1.44 cnf('1.1.1.2.1',plain,[-(subset(6 ^ [10 ^ [], powerset(10 ^ [])], 10 ^ [])), powerset(10 ^ []) = powerset(10 ^ []), in(6 ^ [10 ^ [], powerset(10 ^ [])], powerset(10 ^ []))],extension(4,bind([[_10879, _11069, _10937], [10 ^ [], 6 ^ [10 ^ [], powerset(10 ^ [])], powerset(10 ^ [])]]))).
% 0.42/1.44 cnf('1.1.1.2.1.1',plain,[-(powerset(10 ^ []) = powerset(10 ^ []))],extension(2,bind([[_6505], [powerset(10 ^ [])]]))).
% 0.42/1.44 cnf('1.1.1.2.1.2',plain,[-(in(6 ^ [10 ^ [], powerset(10 ^ [])], powerset(10 ^ []))), -(10 ^ [] = union(powerset(10 ^ []))), -(in(5 ^ [10 ^ [], powerset(10 ^ [])], 10 ^ []))],extension(9,bind([[_11821, _11890], [powerset(10 ^ []), 10 ^ []]]))).
% 0.42/1.44 cnf('1.1.1.2.1.2.1',plain,[10 ^ [] = union(powerset(10 ^ []))],reduction('1.1')).
% 0.42/1.44 cnf('1.1.1.2.1.2.2',plain,[in(5 ^ [10 ^ [], powerset(10 ^ [])], 10 ^ [])],lemmata('1.1.1')).
% 0.42/1.44 cnf('1.1.1.2.2',plain,[in(5 ^ [10 ^ [], powerset(10 ^ [])], 10 ^ [])],lemmata('1.1.1')).
% 0.42/1.44 %-----------------------------------------------------
% 0.42/1.45
% 0.42/1.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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