%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET617+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% 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 05:02:34 EDT 2022

% Result   : Theorem 0.12s 0.38s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ( ~ sPE(symmetric_difference(empty_set,sK3),sK3)
    | ~ sPE(symmetric_difference(sK3,empty_set),sK3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th92)]) ).

cnf(g1,plain,
    sPE(symmetric_difference(sK3,empty_set),symmetric_difference(empty_set,sK3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_symmetric_difference)]) ).

cnf(g2,plain,
    sPE(difference(sK3,empty_set),sK3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_difference_with_empty_set1)]) ).

cnf(g3,plain,
    sPE(union(sK3,empty_set),sK3),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_empty_set)]) ).

cnf(g4,plain,
    ( ~ sPE(symmetric_difference(sK3,empty_set),union(difference(empty_set,sK3),difference(sK3,empty_set)))
    | ~ sPE(union(difference(empty_set,sK3),difference(sK3,empty_set)),sK3)
    | sPE(symmetric_difference(sK3,empty_set),sK3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ sPE(symmetric_difference(sK3,empty_set),symmetric_difference(empty_set,sK3))
    | ~ sPE(symmetric_difference(empty_set,sK3),union(difference(empty_set,sK3),difference(sK3,empty_set)))
    | sPE(symmetric_difference(sK3,empty_set),union(difference(empty_set,sK3),difference(sK3,empty_set))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    sPE(symmetric_difference(empty_set,sK3),union(difference(empty_set,sK3),difference(sK3,empty_set))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_difference_defn)]) ).

cnf(g7,plain,
    ( ~ sPE(symmetric_difference(empty_set,sK3),union(difference(empty_set,sK3),difference(sK3,empty_set)))
    | ~ sPE(union(difference(empty_set,sK3),difference(sK3,empty_set)),sK3)
    | sPE(symmetric_difference(empty_set,sK3),sK3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    sPE(difference(empty_set,sK3),empty_set),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_difference_with_empty_set2)]) ).

cnf(g9,plain,
    ( ~ sPE(union(difference(empty_set,sK3),difference(sK3,empty_set)),union(empty_set,sK3))
    | ~ sPE(union(empty_set,sK3),sK3)
    | sPE(union(difference(empty_set,sK3),difference(sK3,empty_set)),sK3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ sPE(difference(empty_set,sK3),empty_set)
    | ~ sPE(difference(sK3,empty_set),sK3)
    | sPE(union(difference(empty_set,sK3),difference(sK3,empty_set)),union(empty_set,sK3)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ sPE(union(empty_set,sK3),union(sK3,empty_set))
    | ~ sPE(union(sK3,empty_set),sK3)
    | sPE(union(empty_set,sK3),sK3) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    sPE(union(empty_set,sK3),union(sK3,empty_set)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET617+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 07:54:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.38  % symbols: 14
% 0.12/0.38  % clauses: 36
% 0.12/0.38  % start clauses: 1
% 0.12/0.38  % iterative deepening steps: 201
% 0.12/0.38  % maximum path limit: 4
% 0.12/0.38  % literal attempts: 42335
% 0.12/0.38  % depth failures: 28131
% 0.12/0.38  % regularity failures: 3203
% 0.12/0.38  % tautology failures: 944
% 0.12/0.38  % reductions: 134
% 0.12/0.38  % extensions: 42073
% 0.12/0.38  % SAT variables: 5089
% 0.12/0.38  % SAT clauses: 9788
% 0.12/0.38  % WalkSAT solutions: 9786
% 0.12/0.38  % CDCL solutions: 0
% 0.12/0.38  % SZS status Theorem for theBenchmark
% 0.12/0.38  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------