TSTP Solution File: SET580+3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET580+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n008.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 05:02:07 EDT 2022

% Result   : Theorem 0.20s 0.42s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ( member(sK1,symmetric_difference(sK2,sK3))
    | member(sK1,sK2)
    | member(sK1,sK3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th23)]) ).

cnf(g1,plain,
    ( ~ member(sK1,sK2)
    | ~ member(sK1,sK3)
    | member(sK1,symmetric_difference(sK2,sK3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th23)]) ).

cnf(g2,plain,
    ( ~ member(sK1,symmetric_difference(sK2,sK3))
    | ~ member(sK1,sK2)
    | sP1 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th23)]) ).

cnf(g3,plain,
    ( ~ member(sK1,symmetric_difference(sK2,sK3))
    | ~ member(sK1,sK3)
    | sP1 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th23)]) ).

cnf(g4,plain,
    ( member(sK1,sK2)
    | ~ sP1 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th23)]) ).

cnf(g5,plain,
    ( member(sK1,sK3)
    | ~ sP1 ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th23)]) ).

cnf(g6,plain,
    ( ~ member(sK1,sK3)
    | member(sK1,sK2)
    | member(sK1,difference(sK3,sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).

cnf(g7,plain,
    ( ~ member(sK1,sK2)
    | member(sK1,sK3)
    | member(sK1,difference(sK2,sK3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).

cnf(g8,plain,
    sPE(symmetric_difference(sK2,sK3),union(difference(sK2,sK3),difference(sK3,sK2))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn)]) ).

cnf(g9,plain,
    ( ~ sPE(symmetric_difference(sK2,sK3),union(difference(sK2,sK3),difference(sK3,sK2)))
    | ~ member(sK1,union(difference(sK2,sK3),difference(sK3,sK2)))
    | member(sK1,symmetric_difference(sK2,sK3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).

cnf(g10,plain,
    ( ~ member(sK1,difference(sK3,sK2))
    | member(sK1,union(difference(sK2,sK3),difference(sK3,sK2))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).

cnf(g11,plain,
    ( ~ member(sK1,difference(sK2,sK3))
    | member(sK1,union(difference(sK2,sK3),difference(sK3,sK2))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).

cnf(g12,plain,
    sPE(symmetric_difference(sK2,sK3),symmetric_difference(sK3,sK2)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_symmetric_difference)]) ).

cnf(g13,plain,
    sPE(symmetric_difference(sK3,sK2),union(difference(sK3,sK2),difference(sK2,sK3))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn)]) ).

cnf(g14,plain,
    ( ~ member(sK1,union(difference(sK3,sK2),difference(sK2,sK3)))
    | member(sK1,difference(sK3,sK2))
    | member(sK1,difference(sK2,sK3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).

cnf(g15,plain,
    ( ~ sPE(symmetric_difference(sK2,sK3),union(difference(sK3,sK2),difference(sK2,sK3)))
    | ~ member(sK1,symmetric_difference(sK2,sK3))
    | member(sK1,union(difference(sK3,sK2),difference(sK2,sK3))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).

cnf(g16,plain,
    ( ~ sPE(symmetric_difference(sK2,sK3),symmetric_difference(sK3,sK2))
    | ~ sPE(symmetric_difference(sK3,sK2),union(difference(sK3,sK2),difference(sK2,sK3)))
    | sPE(symmetric_difference(sK2,sK3),union(difference(sK3,sK2),difference(sK2,sK3))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ member(sK1,sK2)
    | ~ member(sK1,difference(sK3,sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).

cnf(g18,plain,
    ( ~ member(sK1,difference(sK2,sK3))
    | member(sK1,sK2) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).

cnf(g19,plain,
    ( ~ member(sK1,sK3)
    | ~ member(sK1,difference(sK2,sK3)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).

cnf(g20,plain,
    ( ~ member(sK1,difference(sK3,sK2))
    | member(sK1,sK3) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET580+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13  % Command  : satcop --statistics %s
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul 10 02:12:08 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.42  % symbols: 12
% 0.20/0.42  % clauses: 30
% 0.20/0.42  % start clauses: 4
% 0.20/0.42  % iterative deepening steps: 152
% 0.20/0.42  % maximum path limit: 3
% 0.20/0.42  % literal attempts: 40788
% 0.20/0.42  % depth failures: 28752
% 0.20/0.42  % regularity failures: 2644
% 0.20/0.42  % tautology failures: 1642
% 0.20/0.42  % reductions: 2602
% 0.20/0.42  % extensions: 37716
% 0.20/0.42  % SAT variables: 5477
% 0.20/0.42  % SAT clauses: 7838
% 0.20/0.42  % WalkSAT solutions: 7831
% 0.20/0.42  % CDCL solutions: 4
% 0.20/0.42  % SZS status Theorem for theBenchmark
% 0.20/0.42  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------