TSTP Solution File: LCL434-2 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL434-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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 244.46s 244.68s
% Output   : Refutation 244.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   21 (   8 unt;   4 nHn;  12 RR)
%            Number of literals    :   44 (  25 equ;  20 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   54 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(reflexivity,axiom,
    X2 = X2,
    theory(equality) ).

cnf(c2,axiom,
    ( X55 != X58
    | X57 != X56
    | X59 != X60
    | c_PropLog_Opl_Oop_A_N_62(X55,X57,X59) = c_PropLog_Opl_Oop_A_N_62(X58,X56,X60) ),
    theory(equality) ).

cnf(c53,plain,
    ( X137 != X135
    | X138 != X136
    | c_PropLog_Opl_Oop_A_N_62(X137,X138,X139) = c_PropLog_Opl_Oop_A_N_62(X135,X136,X139) ),
    inference(resolution,[status(thm)],[c2,reflexivity]) ).

cnf(c262,plain,
    ( X147 != X145
    | c_PropLog_Opl_Oop_A_N_62(X147,X148,X146) = c_PropLog_Opl_Oop_A_N_62(X145,X148,X146) ),
    inference(resolution,[status(thm)],[c53,reflexivity]) ).

cnf(cls_PropLog_Oweaken__right_0,axiom,
    ( ~ c_in(X29,c_PropLog_Othms(X30,X28),tc_PropLog_Opl(X28))
    | c_in(c_PropLog_Opl_Oop_A_N_62(X31,X29,X28),c_PropLog_Othms(X30,X28),tc_PropLog_Opl(X28)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).

cnf(cls_PropLog_Othms_OH_0,axiom,
    ( ~ c_in(X20,X19,tc_PropLog_Opl(X18))
    | c_in(X20,c_PropLog_Othms(X19,X18),tc_PropLog_Opl(X18)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Set_OinsertE_0,axiom,
    ( ~ c_in(X27,c_insert(X26,X25,X24),X24)
    | c_in(X27,X25,X24)
    | X27 = X26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

cnf(c11,plain,
    ( c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
    | v_pa = v_p ),
    inference(resolution,[status(thm)],[cls_Set_OinsertE_0,cls_conjecture_0]) ).

cnf(c12,plain,
    ( v_pa = v_p
    | c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[status(thm)],[c11,cls_PropLog_Othms_OH_0]) ).

cnf(c46,plain,
    ( v_pa = v_p
    | c_in(c_PropLog_Opl_Oop_A_N_62(X190,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[status(thm)],[c12,cls_PropLog_Oweaken__right_0]) ).

cnf(c802,plain,
    v_pa = v_p,
    inference(resolution,[status(thm)],[c46,cls_conjecture_1]) ).

cnf(c826,plain,
    c_PropLog_Opl_Oop_A_N_62(v_pa,X210,X209) = c_PropLog_Opl_Oop_A_N_62(v_p,X210,X209),
    inference(resolution,[status(thm)],[c802,c262]) ).

cnf(cls_PropLog_Othms__I_0,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(X17,X17,X15),c_PropLog_Othms(X16,X15),tc_PropLog_Opl(X15)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).

cnf(c4,axiom,
    ( X62 != X65
    | X64 != X63
    | X66 != X67
    | ~ c_in(X62,X64,X66)
    | c_in(X65,X63,X67) ),
    theory(equality) ).

cnf(c78,plain,
    ( c_PropLog_Opl_Oop_A_N_62(X290,X290,X288) != X286
    | c_PropLog_Othms(X289,X288) != X287
    | tc_PropLog_Opl(X288) != X285
    | c_in(X286,X287,X285) ),
    inference(resolution,[status(thm)],[c4,cls_PropLog_Othms__I_0]) ).

cnf(c2125,plain,
    ( c_PropLog_Othms(X5995,X5994) != X5993
    | tc_PropLog_Opl(X5994) != X5996
    | c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,X5994),X5993,X5996) ),
    inference(resolution,[status(thm)],[c78,c826]) ).

cnf(c286748,plain,
    ( tc_PropLog_Opl(X5997) != X5998
    | c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,X5997),c_PropLog_Othms(X5999,X5997),X5998) ),
    inference(resolution,[status(thm)],[c2125,reflexivity]) ).

cnf(c286923,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,X6001),c_PropLog_Othms(X6000,X6001),tc_PropLog_Opl(X6001)),
    inference(resolution,[status(thm)],[c286748,reflexivity]) ).

cnf(c286984,plain,
    $false,
    inference(resolution,[status(thm)],[c286923,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL434-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed May  8 14:52:38 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 244.46/244.68  % Version:  1.5
% 244.46/244.68  % SZS status Unsatisfiable
% 244.46/244.68  % SZS output start CNFRefutation
% See solution above
% 244.46/244.68  
% 244.46/244.68  % Initial clauses    : 14
% 244.46/244.68  % Processed clauses  : 1521
% 244.46/244.68  % Factors computed   : 70
% 244.46/244.68  % Resolvents computed: 286910
% 244.46/244.68  % Tautologies deleted: 2
% 244.46/244.68  % Forward subsumed   : 4198
% 244.46/244.68  % Backward subsumed  : 397
% 244.46/244.68  % -------- CPU Time ---------
% 244.46/244.68  % User time          : 243.566 s
% 244.46/244.68  % System time        : 0.749 s
% 244.46/244.68  % Total time         : 244.315 s
%------------------------------------------------------------------------------