%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL433-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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  : 300s
% DateTime : Thu May  9 17:31:22 EDT 2024

% Result   : Unsatisfiable 0.46s 0.69s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   9 unt;   0 nHn;  11 RR)
%            Number of literals    :   22 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   24 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_Set_OinsertCI_1,axiom,
    c_in(X3,c_insert(X3,X2,X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

cnf(cls_PropLog_Othms_OH_0,axiom,
    ( ~ c_in(X6,X7,tc_PropLog_Opl(X5))
    | c_in(X6,c_PropLog_Othms(X7,X5),tc_PropLog_Opl(X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).

cnf(c0,plain,
    c_in(X9,c_PropLog_Othms(c_insert(X9,X10,tc_PropLog_Opl(X8)),X8),tc_PropLog_Opl(X8)),
    inference(resolution,[status(thm)],[cls_PropLog_Othms_OH_0,cls_Set_OinsertCI_1]) ).

cnf(cls_PropLog_Othms_OMP_0,axiom,
    ( ~ c_in(X24,c_PropLog_Othms(X25,X23),tc_PropLog_Opl(X23))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X24,X22,X23),c_PropLog_Othms(X25,X23),tc_PropLog_Opl(X23))
    | c_in(X22,c_PropLog_Othms(X25,X23),tc_PropLog_Opl(X23)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_in(X14,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Osat(v_F,X14,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_PropLog_Osat__imp_0,axiom,
    ( ~ c_PropLog_Osat(c_insert(X17,X18,tc_PropLog_Opl(X16)),X15,X16)
    | c_PropLog_Osat(X18,c_PropLog_Opl_Oop_A_N_62(X17,X15,X16),X16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).

cnf(c3,plain,
    c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
    inference(resolution,[status(thm)],[cls_PropLog_Osat__imp_0,cls_conjecture_2]) ).

cnf(c4,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[status(thm)],[c3,cls_conjecture_4]) ).

cnf(cls_PropLog_Oweaken__left__insert_0,axiom,
    ( ~ c_in(X31,c_PropLog_Othms(X30,X32),tc_PropLog_Opl(X32))
    | c_in(X31,c_PropLog_Othms(c_insert(X29,X30,tc_PropLog_Opl(X32)),X32),tc_PropLog_Opl(X32)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).

cnf(c17,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(X49,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[status(thm)],[cls_PropLog_Oweaken__left__insert_0,c4]) ).

cnf(c32,plain,
    ( ~ c_in(v_x,c_PropLog_Othms(c_insert(X205,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | c_in(v_xa,c_PropLog_Othms(c_insert(X205,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[status(thm)],[c17,cls_PropLog_Othms_OMP_0]) ).

cnf(c159,plain,
    c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[status(thm)],[c32,c0]) ).

cnf(c163,plain,
    $false,
    inference(resolution,[status(thm)],[c159,cls_conjecture_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL433-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n013.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  : 300
% 0.12/0.34  % DateTime : Wed May  8 14:46:23 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.46/0.69  % Version:  1.5
% 0.46/0.69  % SZS status Unsatisfiable
% 0.46/0.69  % SZS output start CNFRefutation
% See solution above
% 0.46/0.69  
% 0.46/0.69  % Initial clauses    : 8
% 0.46/0.69  % Processed clauses  : 58
% 0.46/0.69  % Factors computed   : 0
% 0.46/0.69  % Resolvents computed: 164
% 0.46/0.69  % Tautologies deleted: 0
% 0.46/0.69  % Forward subsumed   : 9
% 0.46/0.69  % Backward subsumed  : 0
% 0.46/0.69  % -------- CPU Time ---------
% 0.46/0.69  % User time          : 0.320 s
% 0.46/0.69  % System time        : 0.019 s
% 0.46/0.69  % Total time         : 0.339 s
%------------------------------------------------------------------------------