TSTP Solution File: SET143-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET143-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n013.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 04:59:25 EDT 2022

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_associativity_of_intersection_1)]) ).

cnf(g1,plain,
    ( ~ sPE(intersection(x,intersection(y,z)),intersection(intersection(x,y),z))
    | sPE(intersection(intersection(x,y),z),intersection(x,intersection(y,z))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2,plain,
    ( ~ subclass(intersection(x,intersection(y,z)),intersection(intersection(x,y),z))
    | ~ subclass(intersection(intersection(x,y),z),intersection(x,intersection(y,z)))
    | sPE(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).

cnf(g3,plain,
    ( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(x,intersection(y,z)))
    | subclass(intersection(intersection(x,y),z),intersection(x,intersection(y,z))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g4,plain,
    ( subclass(intersection(intersection(x,y),z),intersection(x,intersection(y,z)))
    | member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(intersection(x,y),z)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

cnf(g5,plain,
    ( subclass(intersection(x,intersection(y,z)),intersection(intersection(x,y),z))
    | member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

cnf(g6,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z))
    | subclass(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g7,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z)))
    | member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),x) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

cnf(g8,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,intersection(y,z)))
    | member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(y,z)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).

cnf(g9,plain,
    ( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(intersection(x,y),z))
    | member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),z) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).

cnf(g10,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,y))
    | ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),z)
    | member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(intersection(x,y),z)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).

cnf(g11,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(y,z))
    | member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),z) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).

cnf(g12,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(y,z))
    | member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),y) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

cnf(g13,plain,
    ( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(intersection(x,y),z))
    | member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

cnf(g14,plain,
    ( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(x,y))
    | member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),y) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).

cnf(g15,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),x)
    | ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),y)
    | member(not_subclass_element(intersection(x,intersection(y,z)),intersection(intersection(x,y),z)),intersection(x,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).

cnf(g16,plain,
    ( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),x)
    | ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(y,z))
    | member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(x,intersection(y,z))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).

cnf(g17,plain,
    ( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),y)
    | ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),z)
    | member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(y,z)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).

cnf(g18,plain,
    ( ~ member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),intersection(x,y))
    | member(not_subclass_element(intersection(intersection(x,y),z),intersection(x,intersection(y,z))),x) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET143-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : satcop --statistics %s
% 0.13/0.33  % Computer : n013.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 Jul 10 09:01:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  % symbols: 61
% 0.20/0.47  % clauses: 160
% 0.20/0.47  % start clauses: 1
% 0.20/0.47  % iterative deepening steps: 232
% 0.20/0.47  % maximum path limit: 4
% 0.20/0.47  % literal attempts: 91636
% 0.20/0.47  % depth failures: 75352
% 0.20/0.47  % regularity failures: 3426
% 0.20/0.47  % tautology failures: 3679
% 0.20/0.47  % reductions: 1545
% 0.20/0.47  % extensions: 89910
% 0.20/0.47  % SAT variables: 26911
% 0.20/0.47  % SAT clauses: 28939
% 0.20/0.47  % WalkSAT solutions: 28936
% 0.20/0.47  % CDCL solutions: 0
% 0.20/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------