TSTP Solution File: LCL437-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL437-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n022.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 : Tue Aug 22 10:48:06 EDT 2023

% Result   : Unsatisfiable 2.17s 1.52s
% Output   : CNFRefutation 2.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   17 (   6 unt;   9 typ;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   4   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   14 (;  14   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_PropLog_Opl_Oop_A_N_62 > c_PropLog_Othms > #nlpp > tc_PropLog_Opl > v_pa > v_p > v_H > t_a > c_PropLog_Opl_Ofalse

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(c_PropLog_Opl_Oop_A_N_62,type,
    c_PropLog_Opl_Oop_A_N_62: ( $i * $i * $i ) > $i ).

tff(c_PropLog_Opl_Ofalse,type,
    c_PropLog_Opl_Ofalse: $i ).

tff(t_a,type,
    t_a: $i ).

tff(c_PropLog_Othms,type,
    c_PropLog_Othms: ( $i * $i ) > $i ).

tff(c_in,type,
    c_in: ( $i * $i * $i ) > $o ).

tff(v_pa,type,
    v_pa: $i ).

tff(v_H,type,
    v_H: $i ).

tff(tc_PropLog_Opl,type,
    tc_PropLog_Opl: $i > $i ).

tff(v_p,type,
    v_p: $i ).

tff(f_29,axiom,
    ! [V_p,T_a,V_H] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Ofalse,T_a),c_PropLog_Opl_Ofalse,T_a),V_p,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)),
    file(unknown,unknown) ).

tff(f_34,axiom,
    ! [V_q,V_H,T_a,V_p] :
      ( ~ c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
      | c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file(unknown,unknown) ).

tff(c_4,plain,
    ! [V_p_1,T_a_2,V_H_3] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p_1,c_PropLog_Opl_Ofalse,T_a_2),c_PropLog_Opl_Ofalse,T_a_2),V_p_1,T_a_2),c_PropLog_Othms(V_H_3,T_a_2),tc_PropLog_Opl(T_a_2)),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_6,plain,
    ! [V_p_7,V_q_4,T_a_6,V_H_5] :
      ( c_in(c_PropLog_Opl_Oop_A_N_62(V_p_7,V_q_4,T_a_6),c_PropLog_Othms(V_H_5,T_a_6),tc_PropLog_Opl(T_a_6))
      | ~ c_in(V_q_4,c_PropLog_Othms(V_H_5,T_a_6),tc_PropLog_Opl(T_a_6)) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_2,plain,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_11,plain,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[status(thm)],[c_6,c_2]) ).

tff(c_15,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL437-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 14:12:33 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 2.17/1.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.17/1.53  
% 2.17/1.53  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.17/1.56  
% 2.17/1.56  Inference rules
% 2.17/1.56  ----------------------
% 2.17/1.56  #Ref     : 0
% 2.17/1.56  #Sup     : 1
% 2.17/1.56  #Fact    : 0
% 2.17/1.56  #Define  : 0
% 2.17/1.56  #Split   : 0
% 2.17/1.56  #Chain   : 0
% 2.17/1.56  #Close   : 0
% 2.17/1.56  
% 2.17/1.56  Ordering : KBO
% 2.17/1.56  
% 2.17/1.56  Simplification rules
% 2.17/1.56  ----------------------
% 2.17/1.56  #Subsume      : 0
% 2.17/1.56  #Demod        : 1
% 2.17/1.56  #Tautology    : 0
% 2.17/1.56  #SimpNegUnit  : 0
% 2.17/1.56  #BackRed      : 0
% 2.17/1.56  
% 2.17/1.56  #Partial instantiations: 0
% 2.17/1.56  #Strategies tried      : 1
% 2.17/1.56  
% 2.17/1.56  Timing (in seconds)
% 2.17/1.56  ----------------------
% 2.17/1.57  Preprocessing        : 0.38
% 2.17/1.57  Parsing              : 0.21
% 2.17/1.57  CNF conversion       : 0.02
% 2.17/1.57  Main loop            : 0.12
% 2.17/1.57  Inferencing          : 0.06
% 2.17/1.57  Reduction            : 0.03
% 2.17/1.57  Demodulation         : 0.02
% 2.17/1.57  BG Simplification    : 0.01
% 2.17/1.57  Subsumption          : 0.02
% 2.17/1.57  Abstraction          : 0.00
% 2.17/1.57  MUC search           : 0.00
% 2.17/1.57  Cooper               : 0.00
% 2.17/1.57  Total                : 0.56
% 2.17/1.57  Index Insertion      : 0.00
% 2.17/1.57  Index Deletion       : 0.00
% 2.17/1.57  Index Matching       : 0.00
% 2.17/1.57  BG Taut test         : 0.00
%------------------------------------------------------------------------------