TSTP Solution File: SET858-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET858-1 : TPTP v8.1.0. Released v3.2.0.
% 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 05:04:30 EDT 2022

% Result   : Unsatisfiable 5.60s 1.10s
% Output   : Proof 5.60s
% 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,
    c_in(v_n,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_1)]) ).

cnf(g2,plain,
    ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2)]) ).

cnf(g3,plain,
    ~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3)]) ).

cnf(g4,plain,
    ( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
    | sPE(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n)
    | c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma2_0)]) ).

cnf(g5,plain,
    ( ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0)]) ).

cnf(g6,plain,
    ( ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1)]) ).

cnf(g7,plain,
    ( ~ sPE(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n)
    | ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2)]) ).

cnf(g8,plain,
    ( ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a)))
    | c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3)]) ).

cnf(g9,plain,
    c_lessequals(v_n,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0)]) ).

cnf(g10,plain,
    ( ~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
    | ~ c_lessequals(v_n,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET858-1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12  % 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 02:12:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 5.60/1.10  % symbols: 210
% 5.60/1.10  % clauses: 1558
% 5.60/1.10  % start clauses: 4
% 5.60/1.10  % iterative deepening steps: 1278
% 5.60/1.10  % maximum path limit: 3
% 5.60/1.10  % literal attempts: 2057337
% 5.60/1.10  % depth failures: 1821831
% 5.60/1.10  % regularity failures: 33232
% 5.60/1.10  % tautology failures: 78772
% 5.60/1.10  % reductions: 75122
% 5.60/1.10  % extensions: 1979269
% 5.60/1.10  % SAT variables: 96542
% 5.60/1.10  % SAT clauses: 104255
% 5.60/1.10  % WalkSAT solutions: 104254
% 5.60/1.10  % CDCL solutions: 0
% 5.60/1.10  % SZS status Unsatisfiable for theBenchmark
% 5.60/1.10  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------