%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET822-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 04:40:25 EDT 2022

% Result   : Unsatisfiable 0.40s 0.57s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OinsertCI_1,axiom,
    c_in(X9,c_insert(X9,X8,X10),X10),
    input ).

cnf(cls_conjecture_2,negated_conjecture,
    ( ~ c_in(v_f(X29),X30,tc_IntDef_Oint)
    | ~ v_P(v_x(X29,X30)) ),
    input ).

cnf(c10,plain,
    ~ v_P(v_x(X32,c_insert(v_f(X32),X31,tc_IntDef_Oint))),
    inference(resolution,status(thm),[cls_conjecture_2,cls_Set_OinsertCI_1]) ).

cnf(cls_conjecture_0,negated_conjecture,
    v_P(v_f(v_b)),
    input ).

cnf(c4,plain,
    ( X12 != X11
    | ~ v_P(X12)
    | v_P(X11) ),
    eq_axiom ).

cnf(symmetry,axiom,
    ( X5 != X6
    | X6 = X5 ),
    eq_axiom ).

cnf(cls_Set_OemptyE_0,axiom,
    ~ c_in(X4,c_emptyset,X3),
    input ).

cnf(cls_Set_OinsertE_0,axiom,
    ( ~ c_in(X24,c_insert(X22,X23,X21),X21)
    | c_in(X24,X23,X21)
    | X24 = X22 ),
    input ).

cnf(cls_conjecture_1,negated_conjecture,
    ( ~ c_in(v_f(X33),X34,tc_IntDef_Oint)
    | c_in(v_x(X33,X34),X34,tc_IntDef_Oint) ),
    input ).

cnf(c11,plain,
    c_in(v_x(X87,c_insert(v_f(X87),X86,tc_IntDef_Oint)),c_insert(v_f(X87),X86,tc_IntDef_Oint),tc_IntDef_Oint),
    inference(resolution,status(thm),[cls_conjecture_1,cls_Set_OinsertCI_1]) ).

cnf(c22,plain,
    ( c_in(v_x(X89,c_insert(v_f(X89),X88,tc_IntDef_Oint)),X88,tc_IntDef_Oint)
    | v_x(X89,c_insert(v_f(X89),X88,tc_IntDef_Oint)) = v_f(X89) ),
    inference(resolution,status(thm),[c11,cls_Set_OinsertE_0]) ).

cnf(c24,plain,
    v_x(X90,c_insert(v_f(X90),c_emptyset,tc_IntDef_Oint)) = v_f(X90),
    inference(resolution,status(thm),[c22,cls_Set_OemptyE_0]) ).

cnf(c47,plain,
    v_f(X91) = v_x(X91,c_insert(v_f(X91),c_emptyset,tc_IntDef_Oint)),
    inference(resolution,status(thm),[c24,symmetry]) ).

cnf(c48,plain,
    ( ~ v_P(v_f(X99))
    | v_P(v_x(X99,c_insert(v_f(X99),c_emptyset,tc_IntDef_Oint))) ),
    inference(resolution,status(thm),[c47,c4]) ).

cnf(c62,plain,
    v_P(v_x(v_b,c_insert(v_f(v_b),c_emptyset,tc_IntDef_Oint))),
    inference(resolution,status(thm),[c48,cls_conjecture_0]) ).

cnf(c63,plain,
    $false,
    inference(resolution,status(thm),[c62,c10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET822-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 10:55:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.40/0.57  # Version:  1.3
% 0.40/0.57  # SZS status Unsatisfiable
% 0.40/0.57  # SZS output start CNFRefutation
% See solution above
% 0.40/0.57  
% 0.40/0.57  # Initial clauses    : 14
% 0.40/0.57  # Processed clauses  : 28
% 0.40/0.57  # Factors computed   : 0
% 0.40/0.57  # Resolvents computed: 59
% 0.40/0.57  # Tautologies deleted: 2
% 0.40/0.57  # Forward subsumed   : 8
% 0.40/0.57  # Backward subsumed  : 0
% 0.40/0.57  # -------- CPU Time ---------
% 0.40/0.57  # User time          : 0.214 s
% 0.40/0.57  # System time        : 0.009 s
% 0.40/0.57  # Total time         : 0.223 s
%------------------------------------------------------------------------------