TSTP Solution File: SET798+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET798+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 02:56:02 EDT 2022
% Result : Theorem 2.38s 3.46s
% Output : Proof 2.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET798+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.32 % Computer : n011.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jul 11 02:06:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.38/3.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.38/3.47 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.38/3.47
% 2.38/3.47 %-----------------------------------------------------
% 2.38/3.47 fof(thIV10, conjecture, ! [_85270, _85273] : (order(_85270, _85273) => ! [_85291, _85294] : (subset(_85291, _85273) & subset(_85294, _85273) & subset(_85291, _85294) => ! [_85332] : (lower_bound(_85332, _85270, _85294) => lower_bound(_85332, _85270, _85291)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thIV10)).
% 2.38/3.47 fof(subset, axiom, ! [_85662, _85665] : (subset(_85662, _85665) <=> ! [_85683] : (member(_85683, _85662) => member(_85683, _85665))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 2.38/3.47 fof(lower_bound, axiom, ! [_85964, _85967, _85970] : (lower_bound(_85970, _85964, _85967) <=> ! [_85991] : (member(_85991, _85967) => apply(_85964, _85970, _85991))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', lower_bound)).
% 2.38/3.47
% 2.38/3.47 cnf(1, plain, [-(subset(22 ^ [], 23 ^ []))], clausify(thIV10)).
% 2.38/3.47 cnf(2, plain, [-(lower_bound(24 ^ [], 20 ^ [], 23 ^ []))], clausify(thIV10)).
% 2.38/3.47 cnf(3, plain, [lower_bound(24 ^ [], 20 ^ [], 22 ^ [])], clausify(thIV10)).
% 2.38/3.47 cnf(4, plain, [subset(_35132, _35188), member(_35302, _35132), -(member(_35302, _35188))], clausify(subset)).
% 2.38/3.47 cnf(5, plain, [-(lower_bound(_43818, _43693, _43756)), -(member(13 ^ [_43818, _43756, _43693], _43756))], clausify(lower_bound)).
% 2.38/3.47 cnf(6, plain, [-(lower_bound(_43818, _43693, _43756)), apply(_43693, _43818, 13 ^ [_43818, _43756, _43693])], clausify(lower_bound)).
% 2.38/3.47 cnf(7, plain, [lower_bound(_43818, _43693, _43756), member(_43978, _43756), -(apply(_43693, _43818, _43978))], clausify(lower_bound)).
% 2.38/3.47
% 2.38/3.47 cnf('1',plain,[lower_bound(24 ^ [], 20 ^ [], 22 ^ [])],start(3)).
% 2.38/3.47 cnf('1.1',plain,[-(lower_bound(24 ^ [], 20 ^ [], 22 ^ [])), apply(20 ^ [], 24 ^ [], 13 ^ [24 ^ [], 22 ^ [], 20 ^ []])],extension(6,bind([[_43818, _43756, _43693], [24 ^ [], 22 ^ [], 20 ^ []]]))).
% 2.38/3.47 cnf('1.1.1',plain,[-(apply(20 ^ [], 24 ^ [], 13 ^ [24 ^ [], 22 ^ [], 20 ^ []])), lower_bound(24 ^ [], 20 ^ [], 23 ^ []), member(13 ^ [24 ^ [], 22 ^ [], 20 ^ []], 23 ^ [])],extension(7,bind([[_43818, _43693, _43978, _43756], [24 ^ [], 20 ^ [], 13 ^ [24 ^ [], 22 ^ [], 20 ^ []], 23 ^ []]]))).
% 2.38/3.47 cnf('1.1.1.1',plain,[-(lower_bound(24 ^ [], 20 ^ [], 23 ^ []))],extension(2)).
% 2.38/3.47 cnf('1.1.1.2',plain,[-(member(13 ^ [24 ^ [], 22 ^ [], 20 ^ []], 23 ^ [])), subset(22 ^ [], 23 ^ []), member(13 ^ [24 ^ [], 22 ^ [], 20 ^ []], 22 ^ [])],extension(4,bind([[_35188, _35302, _35132], [23 ^ [], 13 ^ [24 ^ [], 22 ^ [], 20 ^ []], 22 ^ []]]))).
% 2.38/3.47 cnf('1.1.1.2.1',plain,[-(subset(22 ^ [], 23 ^ []))],extension(1)).
% 2.38/3.47 cnf('1.1.1.2.2',plain,[-(member(13 ^ [24 ^ [], 22 ^ [], 20 ^ []], 22 ^ [])), -(lower_bound(24 ^ [], 20 ^ [], 22 ^ []))],extension(5,bind([[_43818, _43693, _43756], [24 ^ [], 20 ^ [], 22 ^ []]]))).
% 2.38/3.47 cnf('1.1.1.2.2.1',plain,[lower_bound(24 ^ [], 20 ^ [], 22 ^ [])],extension(3)).
% 2.38/3.47 %-----------------------------------------------------
% 2.38/3.48
% 2.38/3.48 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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