TSTP Solution File: LCL446-2 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL446-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 17:31:26 EDT 2024

% Result   : Unsatisfiable 0.39s 0.61s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   13 (   9 unt;   0 nHn;   5 RR)
%            Number of literals    :   18 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   51 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_PropLog_Othms_OK_0,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Oop_A_N_62(X4,X3,X2),X2),c_PropLog_Othms(X5,X2),tc_PropLog_Opl(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OK_0) ).

cnf(cls_PropLog_Othms_OMP_0,axiom,
    ( ~ c_in(X7,c_PropLog_Othms(X6,X8),tc_PropLog_Opl(X8))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X7,X9,X8),c_PropLog_Othms(X6,X8),tc_PropLog_Opl(X8))
    | c_in(X9,c_PropLog_Othms(X6,X8),tc_PropLog_Opl(X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).

cnf(c0,plain,
    ( ~ c_in(X11,c_PropLog_Othms(X10,X13),tc_PropLog_Opl(X13))
    | c_in(c_PropLog_Opl_Oop_A_N_62(X12,X11,X13),c_PropLog_Othms(X10,X13),tc_PropLog_Opl(X13)) ),
    inference(resolution,[status(thm)],[cls_PropLog_Othms_OMP_0,cls_PropLog_Othms_OK_0]) ).

cnf(c1,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X18,c_PropLog_Opl_Oop_A_N_62(X16,c_PropLog_Opl_Oop_A_N_62(X14,X16,X17),X17),X17),c_PropLog_Othms(X15,X17),tc_PropLog_Opl(X17)),
    inference(resolution,[status(thm)],[c0,cls_PropLog_Othms_OK_0]) ).

cnf(c2,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X29,c_PropLog_Opl_Oop_A_N_62(X28,c_PropLog_Opl_Oop_A_N_62(X25,c_PropLog_Opl_Oop_A_N_62(X26,X25,X24),X24),X24),X24),c_PropLog_Othms(X27,X24),tc_PropLog_Opl(X24)),
    inference(resolution,[status(thm)],[c1,c0]) ).

cnf(c6,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X41,c_PropLog_Opl_Oop_A_N_62(X36,c_PropLog_Opl_Oop_A_N_62(X40,c_PropLog_Opl_Oop_A_N_62(X38,c_PropLog_Opl_Oop_A_N_62(X39,X38,X35),X35),X35),X35),X35),c_PropLog_Othms(X37,X35),tc_PropLog_Opl(X35)),
    inference(resolution,[status(thm)],[c2,c0]) ).

cnf(cls_PropLog_Othms_OS_0,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X21,c_PropLog_Opl_Oop_A_N_62(X22,X23,X20),X20),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X21,X22,X20),c_PropLog_Opl_Oop_A_N_62(X21,X23,X20),X20),X20),c_PropLog_Othms(X19,X20),tc_PropLog_Opl(X20)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).

cnf(c5,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X80,c_PropLog_Opl_Oop_A_N_62(X82,X79,X81),X81),c_PropLog_Othms(X78,X81),tc_PropLog_Opl(X81))
    | c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X80,X82,X81),c_PropLog_Opl_Oop_A_N_62(X80,X79,X81),X81),c_PropLog_Othms(X78,X81),tc_PropLog_Opl(X81)) ),
    inference(resolution,[status(thm)],[cls_PropLog_Othms_OS_0,cls_PropLog_Othms_OMP_0]) ).

cnf(c22,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X84,X85,X86),c_PropLog_Opl_Oop_A_N_62(X84,X84,X86),X86),c_PropLog_Othms(X83,X86),tc_PropLog_Opl(X86)),
    inference(resolution,[status(thm)],[c5,cls_PropLog_Othms_OK_0]) ).

cnf(c26,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X105,X108,X107),c_PropLog_Othms(X106,X107),tc_PropLog_Opl(X107))
    | c_in(c_PropLog_Opl_Oop_A_N_62(X105,X105,X107),c_PropLog_Othms(X106,X107),tc_PropLog_Opl(X107)) ),
    inference(resolution,[status(thm)],[c22,cls_PropLog_Othms_OMP_0]) ).

cnf(c33,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(X109,X109,X111),c_PropLog_Othms(X110,X111),tc_PropLog_Opl(X111)),
    inference(resolution,[status(thm)],[c26,c6]) ).

cnf(c46,plain,
    $false,
    inference(resolution,[status(thm)],[c33,cls_conjecture_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL446-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed May  8 15:24:38 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.39/0.61  % Version:  1.5
% 0.39/0.61  % SZS status Unsatisfiable
% 0.39/0.61  % SZS output start CNFRefutation
% See solution above
% 0.39/0.61  
% 0.39/0.61  % Initial clauses    : 4
% 0.39/0.61  % Processed clauses  : 17
% 0.39/0.61  % Factors computed   : 0
% 0.39/0.61  % Resolvents computed: 48
% 0.39/0.61  % Tautologies deleted: 0
% 0.39/0.61  % Forward subsumed   : 4
% 0.39/0.61  % Backward subsumed  : 1
% 0.39/0.61  % -------- CPU Time ---------
% 0.39/0.61  % User time          : 0.226 s
% 0.39/0.61  % System time        : 0.020 s
% 0.39/0.61  % Total time         : 0.246 s
%------------------------------------------------------------------------------