TSTP Solution File: ITP018+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ITP018+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 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 : n016.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 10:43:18 EDT 2023

% Result   : Theorem 3.58s 1.75s
% Output   : CNFRefutation 3.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   47
% Syntax   : Number of formulae    :   52 (   8 unt;  44 typ;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   36 (  22   >;  14   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   43 (  43 usr;  22 con; 0-4 aty)
%            Number of variables   :   12 (;  12   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p > tyop_2Epair_2Eprod > tyop_2Emin_2Efun > tyop_2Ebinary__ieee_2Efloat > s > c_2Emin_2E_3D_3D_3E_2E2 > c_2Emin_2E_3D_2E2 > c_2Ebool_2E_5C_2F_2E2 > c_2Ebool_2E_2F_5C_2E2 > app_2E2 > #nlpp > tyop_2Ebool_2Eitself > c_2Erealax_2Ereal__neg_2E1 > c_2Ebool_2E_7E_2E1 > c_2Ebool_2E_3F_2E1 > c_2Ebool_2E_21_2E1 > c_2Ebinary__ieee_2Eulp_2E1 > c_2Ebinary__ieee_2Efloat__to__real_2E1 > c_2Ebinary__ieee_2Efloat__plus__min_2E1 > c_2Ebinary__ieee_2Efloat__negate_2E1 > tyop_2Erealax_2Ereal > tyop_2Emin_2Ebool > combin_s_2E0 > combin_k_2E0 > combin_i_2E0 > c_2Erealax_2Ereal__neg_2E0 > c_2Emin_2E_3D_3D_3E_2E0 > c_2Emin_2E_3D_2E0 > c_2Ebool_2Ethe__value_2E0 > c_2Ebool_2E_7E_2E0 > c_2Ebool_2E_5C_2F_2E0 > c_2Ebool_2E_3F_2E0 > c_2Ebool_2E_2F_5C_2E0 > c_2Ebool_2E_21_2E0 > c_2Ebool_2ET_2E0 > c_2Ebool_2EF_2E0 > c_2Ebinary__ieee_2Eulp_2E0 > c_2Ebinary__ieee_2Efloat__to__real_2E0 > c_2Ebinary__ieee_2Efloat__plus__min_2E0 > c_2Ebinary__ieee_2Efloat__negate_2E0 > #skF_3 > #skF_5 > #skF_4 > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(c_2Ebool_2E_21_2E0,type,
    c_2Ebool_2E_21_2E0: $i ).

tff(app_2E2,type,
    app_2E2: ( $i * $i ) > $i ).

tff(c_2Ebinary__ieee_2Efloat__plus__min_2E0,type,
    c_2Ebinary__ieee_2Efloat__plus__min_2E0: $i ).

tff(c_2Ebool_2E_2F_5C_2E2,type,
    c_2Ebool_2E_2F_5C_2E2: ( $i * $i ) > $i ).

tff(tyop_2Emin_2Ebool,type,
    tyop_2Emin_2Ebool: $i ).

tff(tyop_2Ebool_2Eitself,type,
    tyop_2Ebool_2Eitself: $i > $i ).

tff(c_2Ebool_2E_7E_2E0,type,
    c_2Ebool_2E_7E_2E0: $i ).

tff(c_2Emin_2E_3D_3D_3E_2E0,type,
    c_2Emin_2E_3D_3D_3E_2E0: $i ).

tff(c_2Emin_2E_3D_3D_3E_2E2,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( $i * $i ) > $i ).

tff(c_2Ebinary__ieee_2Efloat__negate_2E1,type,
    c_2Ebinary__ieee_2Efloat__negate_2E1: $i > $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff(tyop_2Epair_2Eprod,type,
    tyop_2Epair_2Eprod: ( $i * $i ) > $i ).

tff(p,type,
    p: $i > $o ).

tff(c_2Erealax_2Ereal__neg_2E0,type,
    c_2Erealax_2Ereal__neg_2E0: $i ).

tff(c_2Emin_2E_3D_2E2,type,
    c_2Emin_2E_3D_2E2: ( $i * $i ) > $i ).

tff(c_2Ebool_2E_5C_2F_2E2,type,
    c_2Ebool_2E_5C_2F_2E2: ( $i * $i ) > $i ).

tff(combin_s_2E0,type,
    combin_s_2E0: $i ).

tff('#skF_5',type,
    '#skF_5': $i ).

tff(c_2Ebool_2E_2F_5C_2E0,type,
    c_2Ebool_2E_2F_5C_2E0: $i ).

tff(tyop_2Emin_2Efun,type,
    tyop_2Emin_2Efun: ( $i * $i ) > $i ).

tff(c_2Ebool_2Ethe__value_2E0,type,
    c_2Ebool_2Ethe__value_2E0: $i ).

tff(c_2Erealax_2Ereal__neg_2E1,type,
    c_2Erealax_2Ereal__neg_2E1: $i > $i ).

tff(c_2Ebool_2ET_2E0,type,
    c_2Ebool_2ET_2E0: $i ).

tff(c_2Ebinary__ieee_2Efloat__plus__min_2E1,type,
    c_2Ebinary__ieee_2Efloat__plus__min_2E1: $i > $i ).

tff(c_2Ebool_2E_3F_2E0,type,
    c_2Ebool_2E_3F_2E0: $i ).

tff(c_2Ebool_2E_3F_2E1,type,
    c_2Ebool_2E_3F_2E1: $i > $i ).

tff(c_2Ebinary__ieee_2Efloat__negate_2E0,type,
    c_2Ebinary__ieee_2Efloat__negate_2E0: $i ).

tff(tyop_2Ebinary__ieee_2Efloat,type,
    tyop_2Ebinary__ieee_2Efloat: ( $i * $i ) > $i ).

tff(c_2Ebinary__ieee_2Efloat__to__real_2E0,type,
    c_2Ebinary__ieee_2Efloat__to__real_2E0: $i ).

tff(c_2Ebinary__ieee_2Eulp_2E0,type,
    c_2Ebinary__ieee_2Eulp_2E0: $i ).

tff(c_2Ebinary__ieee_2Eulp_2E1,type,
    c_2Ebinary__ieee_2Eulp_2E1: $i > $i ).

tff(c_2Ebool_2E_7E_2E1,type,
    c_2Ebool_2E_7E_2E1: $i > $i ).

tff(c_2Emin_2E_3D_2E0,type,
    c_2Emin_2E_3D_2E0: $i ).

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

tff('#skF_4',type,
    '#skF_4': $i ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff(c_2Ebool_2E_21_2E1,type,
    c_2Ebool_2E_21_2E1: $i > $i ).

tff(combin_i_2E0,type,
    combin_i_2E0: $i ).

tff(c_2Ebool_2E_5C_2F_2E0,type,
    c_2Ebool_2E_5C_2F_2E0: $i ).

tff(c_2Ebinary__ieee_2Efloat__to__real_2E1,type,
    c_2Ebinary__ieee_2Efloat__to__real_2E1: $i > $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i * $i * $i ) > $i ).

tff(c_2Ebool_2EF_2E0,type,
    c_2Ebool_2EF_2E0: $i ).

tff(combin_k_2E0,type,
    combin_k_2E0: $i ).

tff(tyop_2Erealax_2Ereal,type,
    tyop_2Erealax_2Ereal: $i ).

tff(f_137,axiom,
    ! [A_27t,A_27w] : ( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp) ).

tff(f_135,axiom,
    ! [A_27a,A_27b,V0x_2E0] : ( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).

tff(f_145,negated_conjecture,
    ~ ! [A_27t,A_27w] : ( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eneg__ulp) ).

tff(c_104,plain,
    ! [A_27t_77,A_27w_78] : ( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t_77,A_27w_78),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t_77,A_27w_78)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t_77,A_27w_78)),c_2Ebool_2Ethe__value_2E0))) ),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_102,plain,
    ! [A_27a_74,A_27b_75,V0x_2E0_76] : ( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a_74,A_27b_75),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a_74,A_27b_75),V0x_2E0_76))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a_74,A_27b_75),V0x_2E0_76))))) ),
    inference(cnfTransformation,[status(thm)],[f_135]) ).

tff(c_113,plain,
    s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat('#skF_4','#skF_5'),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat('#skF_4','#skF_5'),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod('#skF_4','#skF_5')),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod('#skF_4','#skF_5')),c_2Ebool_2Ethe__value_2E0))))),
    inference(cnfTransformation,[status(thm)],[f_145]) ).

tff(c_115,plain,
    s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat('#skF_4','#skF_5'),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod('#skF_4','#skF_5')),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod('#skF_4','#skF_5')),c_2Ebool_2Ethe__value_2E0))))),
    inference(demodulation,[status(thm),theory(equality)],[c_102,c_113]) ).

tff(c_117,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_115]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP018+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 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
% 0.17/0.35  % Computer : n016.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Thu Aug  3 19:32:38 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 3.58/1.75  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.58/1.75  
% 3.58/1.75  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.58/1.79  
% 3.58/1.79  Inference rules
% 3.58/1.79  ----------------------
% 3.58/1.79  #Ref     : 0
% 3.58/1.79  #Sup     : 0
% 3.58/1.79  #Fact    : 0
% 3.58/1.79  #Define  : 0
% 3.58/1.79  #Split   : 0
% 3.58/1.79  #Chain   : 0
% 3.58/1.79  #Close   : 0
% 3.58/1.79  
% 3.58/1.79  Ordering : KBO
% 3.58/1.79  
% 3.58/1.79  Simplification rules
% 3.58/1.79  ----------------------
% 3.58/1.79  #Subsume      : 51
% 3.58/1.79  #Demod        : 3
% 3.58/1.79  #Tautology    : 4
% 3.58/1.79  #SimpNegUnit  : 0
% 3.58/1.79  #BackRed      : 0
% 3.58/1.79  
% 3.58/1.79  #Partial instantiations: 0
% 3.58/1.79  #Strategies tried      : 1
% 3.58/1.79  
% 3.58/1.79  Timing (in seconds)
% 3.58/1.79  ----------------------
% 3.58/1.80  Preprocessing        : 0.66
% 3.58/1.80  Parsing              : 0.35
% 3.58/1.80  CNF conversion       : 0.04
% 3.58/1.80  Main loop            : 0.07
% 3.58/1.80  Inferencing          : 0.00
% 3.58/1.80  Reduction            : 0.03
% 3.58/1.80  Demodulation         : 0.03
% 3.58/1.80  BG Simplification    : 0.04
% 3.58/1.80  Subsumption          : 0.03
% 3.58/1.80  Abstraction          : 0.01
% 3.58/1.80  MUC search           : 0.00
% 3.58/1.80  Cooper               : 0.00
% 3.58/1.80  Total                : 0.79
% 3.58/1.80  Index Insertion      : 0.00
% 3.58/1.80  Index Deletion       : 0.00
% 3.58/1.80  Index Matching       : 0.00
% 3.58/1.80  BG Taut test         : 0.00
%------------------------------------------------------------------------------