TSTP Solution File: SYN353+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN353+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n003.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 11:10:35 EDT 2023

% Result   : Theorem 4.16s 2.16s
% Output   : CNFRefutation 4.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   64 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :  176 (   0 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  166 (  51   ~;  97   |;   4   &)
%                                         (   4 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   2   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-3 aty)
%            Number of variables   :  124 (; 121   !;   3   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ big_f > #nlpp > #skF_1 > #skF_2

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_1',type,
    '#skF_1': $i ).

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

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

tff(f_68,negated_conjecture,
    ~ ! [X] :
      ? [Y1,Y2,Y3] :
      ! [Z] :
        ( ( big_f(Y1,Y2,Y3)
         => ( big_f(X,X,Z)
           => ( big_f(Y2,Y3,Y1)
              | big_f(Y3,Y1,Y2) ) ) )
       => ( ( ( big_f(Y3,Y1,Y2)
             => ( big_f(Y1,Y2,Y3)
                & big_f(Y2,Y3,Y1) ) )
          <=> big_f(Y2,Y1,Z) )
         => ( ( ( big_f(Y2,Y3,Y1)
               => ( big_f(Y1,Y2,Y3)
                  & big_f(Y3,Y1,Y2) ) )
            <=> big_f(Y1,Z,Y2) )
           => ( ( ( ( big_f(Y3,Y1,Y2)
                   => ~ big_f(Y2,Y3,Y1) )
                 => big_f(Y1,Y2,Y3) )
              <=> big_f(Z,Y2,Y1) )
             => ( ( big_f(Y1,Y2,Y3)
                  & big_f(Y2,Y3,Y1)
                  & big_f(Y3,Y1,Y2) )
              <=> big_f(Z,Z,Z) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_5) ).

tff(c_34,plain,
    ! [Y2_7,Y3_8,Y1_6] :
      ( big_f(Y2_7,Y3_8,Y1_6)
      | big_f(Y1_6,'#skF_2'(Y1_6,Y2_7,Y3_8),Y2_7) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_42,plain,
    ! [Y3_8,Y1_6,Y2_7] :
      ( big_f(Y3_8,Y1_6,Y2_7)
      | big_f(Y2_7,Y1_6,'#skF_2'(Y1_6,Y2_7,Y3_8)) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_106,plain,
    ! [Y3_55,Y1_56,Y2_57] :
      ( big_f(Y3_55,Y1_56,Y2_57)
      | big_f(Y2_57,Y3_55,Y1_56)
      | ~ big_f('#skF_1','#skF_1','#skF_2'(Y1_56,Y2_57,Y3_55))
      | ~ big_f(Y1_56,Y2_57,Y3_55) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_117,plain,
    ! [Y3_58] :
      ( big_f('#skF_1',Y3_58,'#skF_1')
      | ~ big_f('#skF_1','#skF_1',Y3_58)
      | big_f(Y3_58,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_42,c_106]) ).

tff(c_125,plain,
    ! [Y3_8] :
      ( big_f('#skF_1','#skF_2'('#skF_1','#skF_1',Y3_8),'#skF_1')
      | big_f('#skF_2'('#skF_1','#skF_1',Y3_8),'#skF_1','#skF_1')
      | big_f(Y3_8,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_42,c_117]) ).

tff(c_126,plain,
    ! [Y3_59] :
      ( big_f('#skF_1','#skF_2'('#skF_1','#skF_1',Y3_59),'#skF_1')
      | big_f('#skF_2'('#skF_1','#skF_1',Y3_59),'#skF_1','#skF_1')
      | big_f(Y3_59,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_42,c_117]) ).

tff(c_22,plain,
    ! [Y3_8,Y1_6,Y2_7] :
      ( big_f(Y3_8,Y1_6,Y2_7)
      | big_f(Y1_6,Y2_7,Y3_8)
      | ~ big_f('#skF_2'(Y1_6,Y2_7,Y3_8),Y2_7,Y1_6) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_135,plain,
    ! [Y3_60] :
      ( big_f('#skF_1','#skF_1',Y3_60)
      | big_f('#skF_1','#skF_2'('#skF_1','#skF_1',Y3_60),'#skF_1')
      | big_f(Y3_60,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_126,c_22]) ).

tff(c_30,plain,
    ! [Y1_6,Y2_7,Y3_8] :
      ( big_f(Y1_6,Y2_7,Y3_8)
      | ~ big_f(Y2_7,Y3_8,Y1_6)
      | ~ big_f(Y1_6,'#skF_2'(Y1_6,Y2_7,Y3_8),Y2_7) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_157,plain,
    ! [Y3_64] :
      ( ~ big_f('#skF_1',Y3_64,'#skF_1')
      | big_f('#skF_1','#skF_1',Y3_64)
      | big_f(Y3_64,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_135,c_30]) ).

tff(c_168,plain,
    ! [Y3_8] :
      ( big_f('#skF_1','#skF_1','#skF_2'('#skF_1','#skF_1',Y3_8))
      | big_f('#skF_2'('#skF_1','#skF_1',Y3_8),'#skF_1','#skF_1')
      | big_f('#skF_1',Y3_8,'#skF_1') ),
    inference(resolution,[status(thm)],[c_34,c_157]) ).

tff(c_169,plain,
    ! [Y3_65] :
      ( big_f('#skF_1','#skF_1','#skF_2'('#skF_1','#skF_1',Y3_65))
      | big_f('#skF_2'('#skF_1','#skF_1',Y3_65),'#skF_1','#skF_1')
      | big_f('#skF_1',Y3_65,'#skF_1') ),
    inference(resolution,[status(thm)],[c_34,c_157]) ).

tff(c_20,plain,
    ! [Y2_7,Y3_8,Y1_6] :
      ( big_f(Y2_7,Y3_8,Y1_6)
      | big_f(Y1_6,Y2_7,Y3_8)
      | ~ big_f('#skF_2'(Y1_6,Y2_7,Y3_8),Y2_7,Y1_6) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_178,plain,
    ! [Y3_66] :
      ( big_f('#skF_1','#skF_1',Y3_66)
      | big_f('#skF_1','#skF_1','#skF_2'('#skF_1','#skF_1',Y3_66))
      | big_f('#skF_1',Y3_66,'#skF_1') ),
    inference(resolution,[status(thm)],[c_169,c_20]) ).

tff(c_38,plain,
    ! [Y1_6,Y2_7,Y3_8] :
      ( big_f(Y1_6,Y2_7,Y3_8)
      | ~ big_f(Y3_8,Y1_6,Y2_7)
      | ~ big_f(Y2_7,Y1_6,'#skF_2'(Y1_6,Y2_7,Y3_8)) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_194,plain,
    ! [Y3_67] :
      ( ~ big_f(Y3_67,'#skF_1','#skF_1')
      | big_f('#skF_1','#skF_1',Y3_67)
      | big_f('#skF_1',Y3_67,'#skF_1') ),
    inference(resolution,[status(thm)],[c_178,c_38]) ).

tff(c_205,plain,
    ! [Y3_8] :
      ( big_f('#skF_1','#skF_2'('#skF_1','#skF_1',Y3_8),'#skF_1')
      | big_f('#skF_1','#skF_1','#skF_2'('#skF_1','#skF_1',Y3_8))
      | big_f('#skF_1',Y3_8,'#skF_1') ),
    inference(resolution,[status(thm)],[c_168,c_194]) ).

tff(c_26,plain,
    ! [Y2_7,Y3_8,Y1_6] :
      ( ~ big_f(Y2_7,Y3_8,Y1_6)
      | ~ big_f(Y3_8,Y1_6,Y2_7)
      | big_f('#skF_2'(Y1_6,Y2_7,Y3_8),Y2_7,Y1_6) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_245,plain,
    ! [Y3_71] :
      ( big_f('#skF_1','#skF_1','#skF_2'('#skF_1','#skF_1',Y3_71))
      | big_f('#skF_1','#skF_2'('#skF_1','#skF_1',Y3_71),'#skF_1')
      | ~ big_f('#skF_1',Y3_71,'#skF_1')
      | ~ big_f(Y3_71,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_26,c_194]) ).

tff(c_281,plain,
    ! [Y3_74] :
      ( big_f('#skF_1','#skF_1',Y3_74)
      | big_f('#skF_1','#skF_1','#skF_2'('#skF_1','#skF_1',Y3_74))
      | ~ big_f('#skF_1',Y3_74,'#skF_1')
      | ~ big_f(Y3_74,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_245,c_30]) ).

tff(c_297,plain,
    ! [Y3_75] :
      ( big_f('#skF_1','#skF_1',Y3_75)
      | ~ big_f('#skF_1',Y3_75,'#skF_1')
      | ~ big_f(Y3_75,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_281,c_38]) ).

tff(c_321,plain,
    ! [Y3_76] :
      ( ~ big_f('#skF_2'('#skF_1','#skF_1',Y3_76),'#skF_1','#skF_1')
      | big_f('#skF_1','#skF_1','#skF_2'('#skF_1','#skF_1',Y3_76))
      | big_f('#skF_1',Y3_76,'#skF_1') ),
    inference(resolution,[status(thm)],[c_205,c_297]) ).

tff(c_360,plain,
    ! [Y3_78] :
      ( big_f('#skF_1','#skF_1','#skF_2'('#skF_1','#skF_1',Y3_78))
      | big_f('#skF_1',Y3_78,'#skF_1') ),
    inference(resolution,[status(thm)],[c_168,c_321]) ).

tff(c_36,plain,
    ! [Y2_7,Y3_8,Y1_6] :
      ( big_f(Y2_7,Y3_8,Y1_6)
      | ~ big_f(Y3_8,Y1_6,Y2_7)
      | ~ big_f(Y2_7,Y1_6,'#skF_2'(Y1_6,Y2_7,Y3_8)) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_376,plain,
    ! [Y3_79] :
      ( ~ big_f(Y3_79,'#skF_1','#skF_1')
      | big_f('#skF_1',Y3_79,'#skF_1') ),
    inference(resolution,[status(thm)],[c_360,c_36]) ).

tff(c_391,plain,
    ! [Y3_8] :
      ( big_f('#skF_1','#skF_2'('#skF_1','#skF_1',Y3_8),'#skF_1')
      | big_f(Y3_8,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_125,c_376]) ).

tff(c_394,plain,
    ! [Y3_80] :
      ( big_f('#skF_1','#skF_2'('#skF_1','#skF_1',Y3_80),'#skF_1')
      | big_f(Y3_80,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_125,c_376]) ).

tff(c_28,plain,
    ! [Y3_8,Y1_6,Y2_7] :
      ( big_f(Y3_8,Y1_6,Y2_7)
      | ~ big_f(Y2_7,Y3_8,Y1_6)
      | ~ big_f(Y1_6,'#skF_2'(Y1_6,Y2_7,Y3_8),Y2_7) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_409,plain,
    ! [Y3_81] :
      ( ~ big_f('#skF_1',Y3_81,'#skF_1')
      | big_f(Y3_81,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_394,c_28]) ).

tff(c_442,plain,
    ! [Y3_83] :
      ( big_f('#skF_2'('#skF_1','#skF_1',Y3_83),'#skF_1','#skF_1')
      | big_f(Y3_83,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_391,c_409]) ).

tff(c_468,plain,
    ! [Y3_84] :
      ( big_f('#skF_1','#skF_1',Y3_84)
      | big_f(Y3_84,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_442,c_22]) ).

tff(c_116,plain,
    ! [Y3_8] :
      ( big_f('#skF_1',Y3_8,'#skF_1')
      | ~ big_f('#skF_1','#skF_1',Y3_8)
      | big_f(Y3_8,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_42,c_106]) ).

tff(c_599,plain,
    ! [Y3_87] :
      ( big_f('#skF_1',Y3_87,'#skF_1')
      | big_f(Y3_87,'#skF_1','#skF_1') ),
    inference(resolution,[status(thm)],[c_468,c_116]) ).

tff(c_375,plain,
    ! [Y3_78] :
      ( ~ big_f(Y3_78,'#skF_1','#skF_1')
      | big_f('#skF_1',Y3_78,'#skF_1') ),
    inference(resolution,[status(thm)],[c_360,c_36]) ).

tff(c_627,plain,
    ! [Y3_87] : big_f('#skF_1',Y3_87,'#skF_1'),
    inference(resolution,[status(thm)],[c_599,c_375]) ).

tff(c_675,plain,
    ! [Y3_90] : big_f('#skF_1',Y3_90,'#skF_1'),
    inference(resolution,[status(thm)],[c_599,c_375]) ).

tff(c_679,plain,
    ! [Y3_8] :
      ( big_f('#skF_1','#skF_1',Y3_8)
      | ~ big_f('#skF_1',Y3_8,'#skF_1') ),
    inference(resolution,[status(thm)],[c_675,c_30]) ).

tff(c_686,plain,
    ! [Y3_8] : big_f('#skF_1','#skF_1',Y3_8),
    inference(demodulation,[status(thm),theory(equality)],[c_627,c_679]) ).

tff(c_2,plain,
    ! [Y3_8,Y1_6,Y2_7] :
      ( big_f(Y3_8,Y1_6,Y2_7)
      | big_f(Y2_7,Y3_8,Y1_6)
      | ~ big_f('#skF_1','#skF_1','#skF_2'(Y1_6,Y2_7,Y3_8))
      | ~ big_f(Y1_6,Y2_7,Y3_8) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_725,plain,
    ! [Y3_92,Y1_93,Y2_94] :
      ( big_f(Y3_92,Y1_93,Y2_94)
      | big_f(Y2_94,Y3_92,Y1_93)
      | ~ big_f(Y1_93,Y2_94,Y3_92) ),
    inference(demodulation,[status(thm),theory(equality)],[c_686,c_2]) ).

tff(c_763,plain,
    ! [Y2_7,Y1_6,Y3_8] :
      ( big_f(Y2_7,Y1_6,'#skF_2'(Y1_6,Y2_7,Y3_8))
      | big_f('#skF_2'(Y1_6,Y2_7,Y3_8),Y2_7,Y1_6)
      | big_f(Y2_7,Y3_8,Y1_6) ),
    inference(resolution,[status(thm)],[c_34,c_725]) ).

tff(c_855,plain,
    ! [Y2_113,Y1_114,Y3_115] :
      ( big_f(Y2_113,Y1_114,'#skF_2'(Y1_114,Y2_113,Y3_115))
      | big_f('#skF_2'(Y1_114,Y2_113,Y3_115),Y2_113,Y1_114)
      | big_f(Y2_113,Y3_115,Y1_114) ),
    inference(resolution,[status(thm)],[c_34,c_725]) ).

tff(c_694,plain,
    ! [Y3_8,Y1_6,Y2_7] :
      ( big_f(Y3_8,Y1_6,Y2_7)
      | big_f(Y2_7,Y3_8,Y1_6)
      | ~ big_f(Y1_6,Y2_7,Y3_8) ),
    inference(demodulation,[status(thm),theory(equality)],[c_686,c_2]) ).

tff(c_864,plain,
    ! [Y1_114,Y2_113,Y3_115] :
      ( big_f(Y1_114,'#skF_2'(Y1_114,Y2_113,Y3_115),Y2_113)
      | big_f(Y2_113,Y1_114,'#skF_2'(Y1_114,Y2_113,Y3_115))
      | big_f(Y2_113,Y3_115,Y1_114) ),
    inference(resolution,[status(thm)],[c_855,c_694]) ).

tff(c_1037,plain,
    ! [Y1_140,Y2_141,Y3_142] :
      ( big_f(Y1_140,'#skF_2'(Y1_140,Y2_141,Y3_142),Y2_141)
      | big_f(Y2_141,Y1_140,'#skF_2'(Y1_140,Y2_141,Y3_142))
      | ~ big_f(Y2_141,Y3_142,Y1_140)
      | ~ big_f(Y3_142,Y1_140,Y2_141) ),
    inference(resolution,[status(thm)],[c_26,c_725]) ).

tff(c_1060,plain,
    ! [Y1_143,Y2_144,Y3_145] :
      ( big_f(Y1_143,Y2_144,Y3_145)
      | big_f(Y2_144,Y1_143,'#skF_2'(Y1_143,Y2_144,Y3_145))
      | ~ big_f(Y2_144,Y3_145,Y1_143)
      | ~ big_f(Y3_145,Y1_143,Y2_144) ),
    inference(resolution,[status(thm)],[c_1037,c_30]) ).

tff(c_1072,plain,
    ! [Y1_146,Y2_147,Y3_148] :
      ( big_f(Y1_146,Y2_147,Y3_148)
      | ~ big_f(Y2_147,Y3_148,Y1_146)
      | ~ big_f(Y3_148,Y1_146,Y2_147) ),
    inference(resolution,[status(thm)],[c_1060,c_38]) ).

tff(c_1163,plain,
    ! [Y1_149,Y2_150,Y3_151] :
      ( ~ big_f('#skF_2'(Y1_149,Y2_150,Y3_151),Y2_150,Y1_149)
      | big_f(Y2_150,Y1_149,'#skF_2'(Y1_149,Y2_150,Y3_151))
      | big_f(Y2_150,Y3_151,Y1_149) ),
    inference(resolution,[status(thm)],[c_864,c_1072]) ).

tff(c_1188,plain,
    ! [Y2_7,Y1_6,Y3_8] :
      ( big_f(Y2_7,Y1_6,'#skF_2'(Y1_6,Y2_7,Y3_8))
      | big_f(Y2_7,Y3_8,Y1_6) ),
    inference(resolution,[status(thm)],[c_763,c_1163]) ).

tff(c_1194,plain,
    ! [Y2_152,Y1_153,Y3_154] :
      ( big_f(Y2_152,Y1_153,'#skF_2'(Y1_153,Y2_152,Y3_154))
      | big_f(Y2_152,Y3_154,Y1_153) ),
    inference(resolution,[status(thm)],[c_763,c_1163]) ).

tff(c_1209,plain,
    ! [Y3_155,Y1_156,Y2_157] :
      ( ~ big_f(Y3_155,Y1_156,Y2_157)
      | big_f(Y2_157,Y3_155,Y1_156) ),
    inference(resolution,[status(thm)],[c_1194,c_36]) ).

tff(c_1285,plain,
    ! [Y1_158,Y2_159,Y3_160] :
      ( big_f('#skF_2'(Y1_158,Y2_159,Y3_160),Y2_159,Y1_158)
      | big_f(Y2_159,Y3_160,Y1_158) ),
    inference(resolution,[status(thm)],[c_1188,c_1209]) ).

tff(c_1311,plain,
    ! [Y1_161,Y2_162,Y3_163] :
      ( big_f(Y1_161,Y2_162,Y3_163)
      | big_f(Y2_162,Y3_163,Y1_161) ),
    inference(resolution,[status(thm)],[c_1285,c_20]) ).

tff(c_1208,plain,
    ! [Y3_154,Y1_153,Y2_152] :
      ( ~ big_f(Y3_154,Y1_153,Y2_152)
      | big_f(Y2_152,Y3_154,Y1_153) ),
    inference(resolution,[status(thm)],[c_1194,c_36]) ).

tff(c_1341,plain,
    ! [Y1_161,Y2_162,Y3_163] : big_f(Y1_161,Y2_162,Y3_163),
    inference(resolution,[status(thm)],[c_1311,c_1208]) ).

tff(c_1296,plain,
    ! [Y1_158,Y2_159,Y3_160] :
      ( big_f(Y1_158,Y2_159,Y3_160)
      | big_f(Y2_159,Y3_160,Y1_158) ),
    inference(resolution,[status(thm)],[c_1285,c_20]) ).

tff(c_1309,plain,
    ! [Y1_158] : big_f(Y1_158,Y1_158,Y1_158),
    inference(factorization,[status(thm),theory(equality)],[c_1296]) ).

tff(c_4,plain,
    ! [Y1_6,Y2_7,Y3_8] :
      ( ~ big_f('#skF_2'(Y1_6,Y2_7,Y3_8),'#skF_2'(Y1_6,Y2_7,Y3_8),'#skF_2'(Y1_6,Y2_7,Y3_8))
      | ~ big_f(Y3_8,Y1_6,Y2_7)
      | ~ big_f(Y2_7,Y3_8,Y1_6)
      | ~ big_f(Y1_6,Y2_7,Y3_8) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_1348,plain,
    ! [Y3_8,Y1_6,Y2_7] :
      ( ~ big_f(Y3_8,Y1_6,Y2_7)
      | ~ big_f(Y2_7,Y3_8,Y1_6)
      | ~ big_f(Y1_6,Y2_7,Y3_8) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1309,c_4]) ).

tff(c_1402,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1341,c_1341,c_1341,c_1348]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SYN353+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14  % 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
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 17:12:53 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 4.16/2.16  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.62/2.17  
% 4.62/2.17  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.98/2.22  
% 4.98/2.22  Inference rules
% 4.98/2.22  ----------------------
% 4.98/2.22  #Ref     : 0
% 4.98/2.22  #Sup     : 292
% 4.98/2.22  #Fact    : 8
% 4.98/2.22  #Define  : 0
% 4.98/2.22  #Split   : 0
% 4.98/2.22  #Chain   : 0
% 4.98/2.22  #Close   : 0
% 4.98/2.22  
% 4.98/2.22  Ordering : KBO
% 4.98/2.22  
% 4.98/2.22  Simplification rules
% 4.98/2.22  ----------------------
% 4.98/2.22  #Subsume      : 169
% 4.98/2.22  #Demod        : 212
% 4.98/2.22  #Tautology    : 125
% 4.98/2.22  #SimpNegUnit  : 0
% 4.98/2.22  #BackRed      : 5
% 4.98/2.22  
% 4.98/2.22  #Partial instantiations: 0
% 4.98/2.22  #Strategies tried      : 1
% 4.98/2.22  
% 4.98/2.22  Timing (in seconds)
% 4.98/2.22  ----------------------
% 4.98/2.22  Preprocessing        : 0.45
% 4.98/2.22  Parsing              : 0.24
% 4.98/2.22  CNF conversion       : 0.04
% 4.98/2.22  Main loop            : 0.66
% 4.98/2.22  Inferencing          : 0.30
% 4.98/2.22  Reduction            : 0.09
% 4.98/2.22  Demodulation         : 0.06
% 4.98/2.22  BG Simplification    : 0.03
% 4.98/2.22  Subsumption          : 0.22
% 4.98/2.22  Abstraction          : 0.02
% 4.98/2.22  MUC search           : 0.00
% 4.98/2.22  Cooper               : 0.00
% 4.98/2.22  Total                : 1.18
% 4.98/2.22  Index Insertion      : 0.00
% 4.98/2.22  Index Deletion       : 0.00
% 4.98/2.22  Index Matching       : 0.00
% 4.98/2.22  BG Taut test         : 0.00
%------------------------------------------------------------------------------