TSTP Solution File: SET618+3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n014.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 05:02:35 EDT 2022

% Result   : Theorem 0.14s 0.35s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(symmetric_difference(sK3,sK3),empty_set),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th93)]) ).

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

cnf(g2,plain,
    ( ~ sPE(symmetric_difference(sK3,sK3),difference(sK3,sK3))
    | ~ sPE(difference(sK3,sK3),empty_set)
    | sPE(symmetric_difference(sK3,sK3),empty_set) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

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

cnf(g5,plain,
    sPE(union(difference(sK3,sK3),difference(sK3,sK3)),difference(sK3,sK3)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotency_of_union)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.14/0.34  % Computer : n014.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 06:44:35 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % symbols: 14
% 0.14/0.35  % clauses: 35
% 0.14/0.35  % start clauses: 1
% 0.14/0.35  % iterative deepening steps: 79
% 0.14/0.35  % maximum path limit: 3
% 0.14/0.35  % literal attempts: 3912
% 0.14/0.35  % depth failures: 2697
% 0.14/0.35  % regularity failures: 271
% 0.14/0.35  % tautology failures: 186
% 0.14/0.35  % reductions: 2
% 0.14/0.35  % extensions: 3865
% 0.14/0.35  % SAT variables: 1060
% 0.14/0.35  % SAT clauses: 1632
% 0.14/0.35  % WalkSAT solutions: 1625
% 0.14/0.35  % CDCL solutions: 0
% 0.14/0.35  % SZS status Theorem for theBenchmark
% 0.14/0.35  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------