TSTP Solution File: SET021-3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET021-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n026.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 04:57:36 EDT 2022

% Result   : Unsatisfiable 3.27s 0.85s
% Output   : Proof 3.27s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(second(ordered_pair(a,b)),b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_second_is_second)]) ).

cnf(g1,plain,
    ( sPE(second(ordered_pair(a,b)),b)
    | member(f1(second(ordered_pair(a,b)),b),second(ordered_pair(a,b)))
    | member(f1(second(ordered_pair(a,b)),b),b) ),
    inference(ground_cnf,[],[file('Axioms/SET003-0.ax',extensionality2)]) ).

cnf(g2,plain,
    ( ~ member(f1(second(ordered_pair(a,b)),b),second(ordered_pair(a,b)))
    | ~ member(f1(second(ordered_pair(a,b)),b),b)
    | sPE(second(ordered_pair(a,b)),b) ),
    inference(ground_cnf,[],[file('Axioms/SET003-0.ax',extensionality3)]) ).

cnf(g3,plain,
    ( ~ member(f1(second(ordered_pair(a,b)),b),second(ordered_pair(a,b)))
    | little_set(f7(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b))) ),
    inference(ground_cnf,[],[file('Axioms/SET003-0.ax',second2)]) ).

cnf(g4,plain,
    ( ~ member(f1(second(ordered_pair(a,b)),b),second(ordered_pair(a,b)))
    | sPE(ordered_pair(a,b),ordered_pair(f6(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b)),f7(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b)))) ),
    inference(ground_cnf,[],[file('Axioms/SET003-0.ax',second3)]) ).

cnf(g5,plain,
    ( ~ member(f1(second(ordered_pair(a,b)),b),second(ordered_pair(a,b)))
    | member(f1(second(ordered_pair(a,b)),b),f7(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b))) ),
    inference(ground_cnf,[],[file('Axioms/SET003-0.ax',second4)]) ).

cnf(g6,plain,
    ( ~ member(f1(second(ordered_pair(a,b)),b),second(ordered_pair(a,b)))
    | little_set(f6(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b))) ),
    inference(ground_cnf,[],[file('Axioms/SET003-0.ax',second1)]) ).

cnf(g7,plain,
    little_set(b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_little_set)]) ).

cnf(g8,plain,
    sPE(ordered_pair(b,b),ordered_pair(b,b)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( member(f17(b,b),b)
    | subset(b,b) ),
    inference(ground_cnf,[],[file('Axioms/SET003-0.ax',subset2)]) ).

cnf(g10,plain,
    ( ~ member(f17(b,b),b)
    | subset(b,b) ),
    inference(ground_cnf,[],[file('Axioms/SET003-0.ax',subset3)]) ).

cnf(g11,plain,
    ( ~ sPE(ordered_pair(b,b),ordered_pair(b,b))
    | ~ little_set(b)
    | ~ little_set(b)
    | ~ little_set(b)
    | ~ little_set(b)
    | sPE(b,b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',second_components_are_equal)]) ).

cnf(g12,plain,
    ( ~ sPE(ordered_pair(a,b),ordered_pair(a,b))
    | ~ member(f1(second(ordered_pair(a,b)),b),b)
    | ~ little_set(a)
    | ~ little_set(b)
    | member(f1(second(ordered_pair(a,b)),b),second(ordered_pair(a,b))) ),
    inference(ground_cnf,[],[file('Axioms/SET003-0.ax',second5)]) ).

cnf(g13,plain,
    sPE(ordered_pair(a,b),ordered_pair(a,b)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    little_set(a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_little_set)]) ).

cnf(g15,plain,
    ( ~ sPE(ordered_pair(a,b),ordered_pair(f6(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b)),f7(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b))))
    | ~ little_set(a)
    | ~ little_set(b)
    | ~ little_set(f6(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b)))
    | ~ little_set(f7(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b)))
    | sPE(b,f7(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',second_components_are_equal)]) ).

cnf(g16,plain,
    ( ~ member(f1(second(ordered_pair(a,b)),b),f7(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b)))
    | ~ subset(f7(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b)),b)
    | member(f1(second(ordered_pair(a,b)),b),b) ),
    inference(ground_cnf,[],[file('Axioms/SET003-0.ax',subset1)]) ).

cnf(g17,plain,
    ( ~ sPE(b,f7(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b)))
    | ~ sPE(b,b)
    | ~ subset(b,b)
    | subset(f7(f1(second(ordered_pair(a,b)),b),ordered_pair(a,b)),b) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET021-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n026.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 05:13:26 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.27/0.85  % symbols: 76
% 3.27/0.85  % clauses: 218
% 3.27/0.85  % start clauses: 1
% 3.27/0.85  % iterative deepening steps: 705
% 3.27/0.85  % maximum path limit: 4
% 3.27/0.85  % literal attempts: 631676
% 3.27/0.85  % depth failures: 553272
% 3.27/0.85  % regularity failures: 16700
% 3.27/0.85  % tautology failures: 7052
% 3.27/0.85  % reductions: 18531
% 3.27/0.85  % extensions: 613116
% 3.27/0.85  % SAT variables: 131851
% 3.27/0.85  % SAT clauses: 133911
% 3.27/0.85  % WalkSAT solutions: 133908
% 3.27/0.85  % CDCL solutions: 0
% 3.27/0.85  % SZS status Unsatisfiable for theBenchmark
% 3.27/0.85  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------