TSTP Solution File: SET027+3 by leanCoP---2.2

View Problem - Process Solution

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% File     : leanCoP---2.2
% Problem  : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n028.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 02:50:15 EDT 2022

% Result   : Theorem 0.32s 1.41s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n028.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 : Sun Jul 10 04:51:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.32/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.42  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.43  
% 0.32/1.43  %-----------------------------------------------------
% 0.32/1.43  fof(prove_transitivity_of_subset, conjecture, ! [_7274, _7277, _7280] : (subset(_7274, _7277) & subset(_7277, _7280) => subset(_7274, _7280)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_transitivity_of_subset)).
% 0.32/1.43  fof(subset_defn, axiom, ! [_7482, _7485] : (subset(_7482, _7485) <=> ! [_7503] : (member(_7503, _7482) => member(_7503, _7485))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)).
% 0.32/1.43  
% 0.32/1.43  cnf(1, plain, [-(subset(2 ^ [], 3 ^ []))], clausify(prove_transitivity_of_subset)).
% 0.32/1.43  cnf(2, plain, [-(subset(3 ^ [], 4 ^ []))], clausify(prove_transitivity_of_subset)).
% 0.32/1.43  cnf(3, plain, [subset(2 ^ [], 4 ^ [])], clausify(prove_transitivity_of_subset)).
% 0.32/1.43  cnf(4, plain, [-(subset(_3219, _3275)), -(member(1 ^ [_3275, _3219], _3219))], clausify(subset_defn)).
% 0.32/1.43  cnf(5, plain, [-(subset(_3219, _3275)), member(1 ^ [_3275, _3219], _3275)], clausify(subset_defn)).
% 0.32/1.43  cnf(6, plain, [subset(_3219, _3275), member(_3389, _3219), -(member(_3389, _3275))], clausify(subset_defn)).
% 0.32/1.43  
% 0.32/1.43  cnf('1',plain,[subset(2 ^ [], 4 ^ [])],start(3)).
% 0.32/1.43  cnf('1.1',plain,[-(subset(2 ^ [], 4 ^ [])), -(member(1 ^ [4 ^ [], 2 ^ []], 2 ^ []))],extension(4,bind([[_3275, _3219], [4 ^ [], 2 ^ []]]))).
% 0.32/1.43  cnf('1.1.1',plain,[member(1 ^ [4 ^ [], 2 ^ []], 2 ^ []), subset(2 ^ [], 3 ^ []), -(member(1 ^ [4 ^ [], 2 ^ []], 3 ^ []))],extension(6,bind([[_3219, _3389, _3275], [2 ^ [], 1 ^ [4 ^ [], 2 ^ []], 3 ^ []]]))).
% 0.32/1.43  cnf('1.1.1.1',plain,[-(subset(2 ^ [], 3 ^ []))],extension(1)).
% 0.32/1.43  cnf('1.1.1.2',plain,[member(1 ^ [4 ^ [], 2 ^ []], 3 ^ []), subset(3 ^ [], 4 ^ []), -(member(1 ^ [4 ^ [], 2 ^ []], 4 ^ []))],extension(6,bind([[_3219, _3389, _3275], [3 ^ [], 1 ^ [4 ^ [], 2 ^ []], 4 ^ []]]))).
% 0.32/1.43  cnf('1.1.1.2.1',plain,[-(subset(3 ^ [], 4 ^ []))],extension(2)).
% 0.32/1.43  cnf('1.1.1.2.2',plain,[member(1 ^ [4 ^ [], 2 ^ []], 4 ^ []), -(subset(2 ^ [], 4 ^ []))],extension(5,bind([[_3219, _3275], [2 ^ [], 4 ^ []]]))).
% 0.32/1.43  cnf('1.1.1.2.2.1',plain,[subset(2 ^ [], 4 ^ [])],extension(3)).
% 0.32/1.43  %-----------------------------------------------------
% 0.41/1.43  
% 0.41/1.44  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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