TSTP Solution File: SEU169+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU169+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 12:00:42 EDT 2022
% Result : Theorem 0.83s 1.40s
% Output : Proof 0.83s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU169+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n006.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 04:21:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.83/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/1.41
% 0.83/1.41 %-----------------------------------------------------
% 0.83/1.41 fof(l3_subset_1, conjecture, ! [_126324, _126327] : (element(_126327, powerset(_126324)) => ! [_126349] : (in(_126349, _126327) => in(_126349, _126324))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l3_subset_1)).
% 0.83/1.41 fof(d2_subset_1, axiom, ! [_126607, _126610] : ((~ empty(_126607) => (element(_126610, _126607) <=> in(_126610, _126607))) & (empty(_126607) => (element(_126610, _126607) <=> empty(_126610)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_subset_1)).
% 0.83/1.41 fof(d4_tarski, axiom, ! [_126885, _126888] : (_126888 = union(_126885) <=> ! [_126906] : (in(_126906, _126888) <=> ? [_126924] : (in(_126906, _126924) & in(_126924, _126885)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_tarski)).
% 0.83/1.41 fof(fc1_subset_1, axiom, ! [_127168] : ~ empty(powerset(_127168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_subset_1)).
% 0.83/1.41 fof(t99_zfmisc_1, lemma, ! [_127378] : union(powerset(_127378)) = _127378, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t99_zfmisc_1)).
% 0.83/1.41
% 0.83/1.41 cnf(1, plain, [-(element(28 ^ [], powerset(27 ^ [])))], clausify(l3_subset_1)).
% 0.83/1.41 cnf(2, plain, [-(in(29 ^ [], 28 ^ []))], clausify(l3_subset_1)).
% 0.83/1.41 cnf(3, plain, [in(29 ^ [], 27 ^ [])], clausify(l3_subset_1)).
% 0.83/1.41 cnf(4, plain, [_40986 = _41031, -(_41031 = _40986)], theory(equality)).
% 0.83/1.41 cnf(5, plain, [-(empty(_54058)), element(_54126, _54058), -(in(_54126, _54058))], clausify(d2_subset_1)).
% 0.83/1.41 cnf(6, plain, [_58275 = union(_58206), -(in(_58418, _58275)), in(_58418, _58537), in(_58537, _58206)], clausify(d4_tarski)).
% 0.83/1.41 cnf(7, plain, [empty(powerset(_62393))], clausify(fc1_subset_1)).
% 0.83/1.41 cnf(8, plain, [-(union(powerset(_88967)) = _88967)], clausify(t99_zfmisc_1)).
% 0.83/1.41
% 0.83/1.41 cnf('1',plain,[in(29 ^ [], 27 ^ [])],start(3)).
% 0.83/1.41 cnf('1.1',plain,[-(in(29 ^ [], 27 ^ [])), 27 ^ [] = union(powerset(27 ^ [])), in(29 ^ [], 28 ^ []), in(28 ^ [], powerset(27 ^ []))],extension(6,bind([[_58275, _58418, _58537, _58206], [27 ^ [], 29 ^ [], 28 ^ [], powerset(27 ^ [])]]))).
% 0.83/1.41 cnf('1.1.1',plain,[-(27 ^ [] = union(powerset(27 ^ []))), union(powerset(27 ^ [])) = 27 ^ []],extension(4,bind([[_40986, _41031], [union(powerset(27 ^ [])), 27 ^ []]]))).
% 0.83/1.41 cnf('1.1.1.1',plain,[-(union(powerset(27 ^ [])) = 27 ^ [])],extension(8,bind([[_88967], [27 ^ []]]))).
% 0.83/1.41 cnf('1.1.2',plain,[-(in(29 ^ [], 28 ^ []))],extension(2)).
% 0.83/1.41 cnf('1.1.3',plain,[-(in(28 ^ [], powerset(27 ^ []))), -(empty(powerset(27 ^ []))), element(28 ^ [], powerset(27 ^ []))],extension(5,bind([[_54126, _54058], [28 ^ [], powerset(27 ^ [])]]))).
% 0.83/1.41 cnf('1.1.3.1',plain,[empty(powerset(27 ^ []))],extension(7,bind([[_62393], [27 ^ []]]))).
% 0.83/1.41 cnf('1.1.3.2',plain,[-(element(28 ^ [], powerset(27 ^ [])))],extension(1)).
% 0.83/1.41 %-----------------------------------------------------
% 0.83/1.42
% 0.83/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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