TSTP Solution File: SET851-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET851-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n010.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 05:04:25 EDT 2022

% Result   : Unsatisfiable 124.69s 16.19s
% Output   : Proof 125.37s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1)]) ).

cnf(g1,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2)]) ).

cnf(g2,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3)]) ).

cnf(g3,plain,
    ( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a)))
    | c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4)]) ).

cnf(g4,plain,
    ( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
    | sPE(v_x,v_m)
    | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5)]) ).

cnf(g5,plain,
    ( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__trans_0)]) ).

cnf(g6,plain,
    sPE(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_Osucc(v_S,v_x,t_a)),
    inference(ground_cnf,[],[theory(equality)]) ).

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

cnf(g8,plain,
    c_lessequals(t_a,t_a,tc_set(tc_set(t_a))),
    inference(ground_cnf,[],[file('Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0)]) ).

cnf(g9,plain,
    ( ~ sPE(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_Osucc(v_S,v_m,t_a))
    | ~ sPE(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_Osucc(v_S,v_x,t_a))
    | ~ sPE(tc_set(tc_set(t_a)),tc_set(tc_set(t_a)))
    | ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    inference(ground_cnf,[],[file('Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0)]) ).

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

cnf(g12,plain,
    ( ~ c_lessequals(t_a,t_a,tc_set(tc_set(t_a)))
    | ~ c_lessequals(t_a,t_a,tc_set(tc_set(t_a)))
    | sPE(t_a,t_a) ),
    inference(ground_cnf,[],[file('Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0)]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET851-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 16:47:15 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 124.69/16.19  % symbols: 210
% 124.69/16.19  % clauses: 1557
% 124.69/16.19  % start clauses: 6
% 124.69/16.19  % iterative deepening steps: 2018
% 124.69/16.19  % maximum path limit: 3
% 124.69/16.19  % literal attempts: 24645196
% 124.69/16.19  % depth failures: 13715731
% 124.69/16.19  % regularity failures: 65734
% 124.69/16.19  % tautology failures: 48562
% 124.69/16.19  % reductions: 10644064
% 124.69/16.19  % extensions: 13993157
% 124.69/16.19  % SAT variables: 2722190
% 124.69/16.19  % SAT clauses: 2575469
% 124.69/16.19  % WalkSAT solutions: 2575460
% 124.69/16.19  % CDCL solutions: 2
% 124.69/16.19  % SZS status Unsatisfiable for theBenchmark
% 124.69/16.19  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------