TSTP Solution File: SET843-2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET843-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n013.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 05:04:19 EDT 2022

% Result   : Unsatisfiable 0.18s 0.42s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0)]) ).

cnf(g1,plain,
    ( ~ sPE(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)))
    | ~ sPE(v_m,c_Zorn_Osucc(v_S,v_m,t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1)]) ).

cnf(g2,plain,
    ( sPE(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)))
    | sPE(v_m,c_Zorn_Osucc(v_S,v_m,t_a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2)]) ).

cnf(g3,plain,
    ( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0)]) ).

cnf(g4,plain,
    ( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0)]) ).

cnf(g5,plain,
    ( ~ c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0)]) ).

cnf(g6,plain,
    ( ~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
    | ~ c_lessequals(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a)))
    | sPE(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0)]) ).

cnf(g7,plain,
    sPE(tc_set(tc_set(t_a)),tc_set(tc_set(t_a))),
    inference(ground_cnf,[],[theory(equality)]) ).

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

cnf(g9,plain,
    ( ~ sPE(v_m,c_Zorn_Osucc(v_S,v_m,t_a))
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0)]) ).

cnf(g10,plain,
    ( ~ sPE(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)))
    | ~ sPE(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Osucc(v_S,v_m,t_a))
    | sPE(v_m,c_Zorn_Osucc(v_S,v_m,t_a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ sPE(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)))
    | sPE(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Osucc(v_S,v_m,t_a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0)]) ).

cnf(g13,plain,
    sPE(t_a,t_a),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
    | c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0)]) ).

cnf(g15,plain,
    sPE(v_S,v_S),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ sPE(v_S,v_S)
    | ~ sPE(v_m,v_m)
    | ~ sPE(t_a,t_a)
    | sPE(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_m,t_a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))
    | ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a)))
    | sPE(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0)]) ).

cnf(g18,plain,
    ( ~ sPE(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)))
    | ~ sPE(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_m,t_a))
    | ~ sPE(tc_set(tc_set(t_a)),tc_set(tc_set(t_a)))
    | ~ c_lessequals(v_m,c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET843-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n013.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 04:26:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.42  % symbols: 11
% 0.18/0.42  % clauses: 19
% 0.18/0.42  % start clauses: 3
% 0.18/0.42  % iterative deepening steps: 333
% 0.18/0.42  % maximum path limit: 3
% 0.18/0.42  % literal attempts: 122397
% 0.18/0.42  % depth failures: 72357
% 0.18/0.42  % regularity failures: 1709
% 0.18/0.42  % tautology failures: 5922
% 0.18/0.42  % reductions: 30339
% 0.18/0.42  % extensions: 91354
% 0.18/0.42  % SAT variables: 18121
% 0.18/0.42  % SAT clauses: 19414
% 0.18/0.42  % WalkSAT solutions: 19411
% 0.18/0.42  % CDCL solutions: 0
% 0.18/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.42  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------