TSTP Solution File: SET121-7 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET121-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n025.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 04:59:16 EDT 2022

% Result   : Unsatisfiable 2.63s 0.71s
% Output   : Proof 2.63s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ member(y,universal_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_OP_determines_components2_1)]) ).

cnf(g1,plain,
    ~ sPE(first(ordered_pair(x,y)),ordered_pair(x,y)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_OP_determines_components2_2)]) ).

cnf(g2,plain,
    ( sPE(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))),ordered_pair(x,y))
    | sPE(first(ordered_pair(x,y)),ordered_pair(x,y)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets3)]) ).

cnf(g3,plain,
    ( sPE(first(ordered_pair(x,y)),ordered_pair(x,y))
    | member(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))),cross_product(universal_class,universal_class)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_2)]) ).

cnf(g4,plain,
    ( ~ sPE(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))),ordered_pair(x,y))
    | ~ sPE(cross_product(universal_class,universal_class),cross_product(universal_class,universal_class))
    | ~ member(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))),cross_product(universal_class,universal_class))
    | member(ordered_pair(x,y),cross_product(universal_class,universal_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    sPE(cross_product(universal_class,universal_class),cross_product(universal_class,universal_class)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( ~ member(ordered_pair(x,y),cross_product(universal_class,universal_class))
    | member(y,universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product2)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SET121-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.07/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n025.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 : Mon Jul 11 10:34:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.63/0.71  % symbols: 53
% 2.63/0.71  % clauses: 213
% 2.63/0.71  % start clauses: 2
% 2.63/0.71  % iterative deepening steps: 365
% 2.63/0.71  % maximum path limit: 3
% 2.63/0.71  % literal attempts: 631774
% 2.63/0.71  % depth failures: 527573
% 2.63/0.71  % regularity failures: 6824
% 2.63/0.71  % tautology failures: 6177
% 2.63/0.71  % reductions: 78723
% 2.63/0.71  % extensions: 552714
% 2.63/0.71  % SAT variables: 191757
% 2.63/0.71  % SAT clauses: 180503
% 2.63/0.71  % WalkSAT solutions: 180500
% 2.63/0.71  % CDCL solutions: 1
% 2.63/0.71  % SZS status Unsatisfiable for theBenchmark
% 2.63/0.71  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------