%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET196+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n016.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 02:52:15 EDT 2022

% Result   : Theorem 0.34s 1.45s
% Output   : Proof 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SET196+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14  % Command  : leancop_casc.sh %s %d
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jul 11 05:27:42 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.34/1.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/1.46  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/1.47  
% 0.43/1.47  %-----------------------------------------------------
% 0.43/1.47  fof(prove_intersection_is_subset, conjecture, ! [_14152, _14155] : subset(intersection(_14152, _14155), _14152), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_intersection_is_subset)).
% 0.43/1.47  fof(intersection_defn, axiom, ! [_14292, _14295, _14298] : (member(_14298, intersection(_14292, _14295)) <=> member(_14298, _14292) & member(_14298, _14295)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.43/1.47  fof(subset_defn, axiom, ! [_14495, _14498] : (subset(_14495, _14498) <=> ! [_14516] : (member(_14516, _14495) => member(_14516, _14498))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.43/1.47  
% 0.43/1.47  cnf(1, plain, [subset(intersection(3 ^ [], 4 ^ []), 3 ^ [])], clausify(prove_intersection_is_subset)).
% 0.43/1.47  cnf(2, plain, [member(_7649, intersection(_7532, _7591)), -(member(_7649, _7532))], clausify(intersection_defn)).
% 0.43/1.47  cnf(3, plain, [-(subset(_8045, _8101)), -(member(1 ^ [_8101, _8045], _8045))], clausify(subset_defn)).
% 0.43/1.47  cnf(4, plain, [-(subset(_8045, _8101)), member(1 ^ [_8101, _8045], _8101)], clausify(subset_defn)).
% 0.43/1.47  
% 0.43/1.47  cnf('1',plain,[subset(intersection(3 ^ [], 4 ^ []), 3 ^ [])],start(1)).
% 0.43/1.47  cnf('1.1',plain,[-(subset(intersection(3 ^ [], 4 ^ []), 3 ^ [])), -(member(1 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], intersection(3 ^ [], 4 ^ [])))],extension(3,bind([[_8101, _8045], [3 ^ [], intersection(3 ^ [], 4 ^ [])]]))).
% 0.43/1.47  cnf('1.1.1',plain,[member(1 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], intersection(3 ^ [], 4 ^ [])), -(member(1 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ []))],extension(2,bind([[_7591, _7649, _7532], [4 ^ [], 1 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ []]]))).
% 0.43/1.47  cnf('1.1.1.1',plain,[member(1 ^ [3 ^ [], intersection(3 ^ [], 4 ^ [])], 3 ^ []), -(subset(intersection(3 ^ [], 4 ^ []), 3 ^ []))],extension(4,bind([[_8045, _8101], [intersection(3 ^ [], 4 ^ []), 3 ^ []]]))).
% 0.43/1.47  cnf('1.1.1.1.1',plain,[subset(intersection(3 ^ [], 4 ^ []), 3 ^ [])],extension(1)).
% 0.43/1.47  %-----------------------------------------------------
% 0.43/1.47  
% 0.43/1.47  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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