TSTP Solution File: SET799+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET799+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 02:56:03 EDT 2022
% Result : Theorem 29.90s 29.40s
% Output : Proof 29.92s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET799+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 07:25:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 29.90/29.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.92/29.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.92/29.41
% 29.92/29.41 %-----------------------------------------------------
% 29.92/29.41 fof(least_upper_bound, axiom, ! [_75885, _75888, _75891, _75894] : (least_upper_bound(_75885, _75888, _75891, _75894) <=> member(_75885, _75888) & upper_bound(_75885, _75891, _75888) & ! [_75941] : (member(_75941, _75894) & upper_bound(_75941, _75891, _75888) => apply(_75891, _75885, _75941))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', least_upper_bound)).
% 29.92/29.41 fof(thIV11, conjecture, ! [_76304, _76307] : (order(_76304, _76307) => ! [_76325, _76328] : (subset(_76325, _76307) & subset(_76328, _76307) & subset(_76325, _76328) => ! [_76366, _76369] : (least_upper_bound(_76366, _76325, _76304, _76307) & least_upper_bound(_76369, _76328, _76304, _76307) => apply(_76304, _76366, _76369)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIV11)).
% 29.92/29.41 fof(subset, axiom, ! [_76769, _76772] : (subset(_76769, _76772) <=> ! [_76790] : (member(_76790, _76769) => member(_76790, _76772))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 29.92/29.41 fof(upper_bound, axiom, ! [_76997, _77000, _77003] : (upper_bound(_77003, _76997, _77000) <=> ! [_77024] : (member(_77024, _77000) => apply(_76997, _77024, _77003))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', upper_bound)).
% 29.92/29.41
% 29.92/29.41 cnf(1, plain, [-(42 ^ [_47776, _47689, _47601, _47512]), -(upper_bound(_47512, _47689, _47601))], clausify(least_upper_bound)).
% 29.92/29.41 cnf(2, plain, [-(42 ^ [_47776, _47689, _47601, _47512]), -(member(_47512, _47601))], clausify(least_upper_bound)).
% 29.92/29.41 cnf(3, plain, [-(subset(50 ^ [], 51 ^ []))], clausify(thIV11)).
% 29.92/29.41 cnf(4, plain, [-(least_upper_bound(52 ^ [], 50 ^ [], 48 ^ [], 49 ^ []))], clausify(thIV11)).
% 29.92/29.41 cnf(5, plain, [-(least_upper_bound(53 ^ [], 51 ^ [], 48 ^ [], 49 ^ []))], clausify(thIV11)).
% 29.92/29.41 cnf(6, plain, [apply(48 ^ [], 52 ^ [], 53 ^ [])], clausify(thIV11)).
% 29.92/29.41 cnf(7, plain, [subset(_35247, _35303), member(_35417, _35247), -(member(_35417, _35303))], clausify(subset)).
% 29.92/29.41 cnf(8, plain, [upper_bound(_43305, _43180, _43243), member(_43465, _43243), -(apply(_43180, _43465, _43305))], clausify(upper_bound)).
% 29.92/29.41 cnf(9, plain, [least_upper_bound(_47512, _47601, _47689, _47776), 42 ^ [_47776, _47689, _47601, _47512]], clausify(least_upper_bound)).
% 29.92/29.41
% 29.92/29.41 cnf('1',plain,[-(subset(50 ^ [], 51 ^ []))],start(3)).
% 29.92/29.41 cnf('1.1',plain,[subset(50 ^ [], 51 ^ []), member(52 ^ [], 50 ^ []), -(member(52 ^ [], 51 ^ []))],extension(7,bind([[_35247, _35417, _35303], [50 ^ [], 52 ^ [], 51 ^ []]]))).
% 29.92/29.41 cnf('1.1.1',plain,[-(member(52 ^ [], 50 ^ [])), -(42 ^ [49 ^ [], 48 ^ [], 50 ^ [], 52 ^ []])],extension(2,bind([[_47776, _47689, _47601, _47512], [49 ^ [], 48 ^ [], 50 ^ [], 52 ^ []]]))).
% 29.92/29.41 cnf('1.1.1.1',plain,[42 ^ [49 ^ [], 48 ^ [], 50 ^ [], 52 ^ []], least_upper_bound(52 ^ [], 50 ^ [], 48 ^ [], 49 ^ [])],extension(9,bind([[_47512, _47601, _47689, _47776], [52 ^ [], 50 ^ [], 48 ^ [], 49 ^ []]]))).
% 29.92/29.41 cnf('1.1.1.1.1',plain,[-(least_upper_bound(52 ^ [], 50 ^ [], 48 ^ [], 49 ^ []))],extension(4)).
% 29.92/29.41 cnf('1.1.2',plain,[member(52 ^ [], 51 ^ []), upper_bound(53 ^ [], 48 ^ [], 51 ^ []), -(apply(48 ^ [], 52 ^ [], 53 ^ []))],extension(8,bind([[_43243, _43180, _43465, _43305], [51 ^ [], 48 ^ [], 52 ^ [], 53 ^ []]]))).
% 29.92/29.41 cnf('1.1.2.1',plain,[-(upper_bound(53 ^ [], 48 ^ [], 51 ^ [])), -(42 ^ [49 ^ [], 48 ^ [], 51 ^ [], 53 ^ []])],extension(1,bind([[_47776, _47689, _47601, _47512], [49 ^ [], 48 ^ [], 51 ^ [], 53 ^ []]]))).
% 29.92/29.41 cnf('1.1.2.1.1',plain,[42 ^ [49 ^ [], 48 ^ [], 51 ^ [], 53 ^ []], least_upper_bound(53 ^ [], 51 ^ [], 48 ^ [], 49 ^ [])],extension(9,bind([[_47512, _47601, _47689, _47776], [53 ^ [], 51 ^ [], 48 ^ [], 49 ^ []]]))).
% 29.92/29.41 cnf('1.1.2.1.1.1',plain,[-(least_upper_bound(53 ^ [], 51 ^ [], 48 ^ [], 49 ^ []))],extension(5)).
% 29.92/29.41 cnf('1.1.2.2',plain,[apply(48 ^ [], 52 ^ [], 53 ^ [])],extension(6)).
% 29.92/29.41 %-----------------------------------------------------
% 29.92/29.42
% 29.92/29.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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