TSTP Solution File: GEO284+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GEO284+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n028.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 10:39:00 EDT 2023

% Result   : Theorem 11.13s 3.69s
% Output   : CNFRefutation 11.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   93
% Syntax   : Number of formulae    :  131 (  20 unt;  88 typ;   0 def)
%            Number of atoms       :  125 (  38 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  142 (  60   ~;  53   |;  27   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  280 (  69   >; 211   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   74 (  74 usr;  19 con; 0-18 aty)
%            Number of variables   :   32 (;  24   !;   8   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ rS > rR > ron > rless > rleq > rintersect > rinside > rgeq > rcenter > rtriangle > rreal > rpoint > rline > rcircle > vskolem1078 > vskolem1052 > vtriangle > vg > vangle > vplus > vf > #nlpp > vskolem1147 > vskolem1146 > vskolem1145 > vskolem1140 > vskolem1139 > vskolem1138 > vskolem1136 > vperp > vd684 > vd14 > vd1130 > vd1129 > vd1128 > vd1127 > vd1126 > vd1125 > vd1124 > vd1123 > v0 > #skF_33 > #skF_35 > #skF_29 > #skF_37 > #skF_31 > #skF_17 > #skF_41 > #skF_30 > #skF_6 > #skF_34 > #skF_18 > #skF_13 > #skF_46 > #skF_4 > #skF_10 > #skF_14 > #skF_9 > #skF_45 > #skF_27 > #skF_44 > #skF_12 > #skF_3 > #skF_39 > #skF_20 > #skF_15 > #skF_48 > #skF_42 > #skF_25 > #skF_47 > #skF_32 > #skF_19 > #skF_11 > #skF_8 > #skF_26 > #skF_43 > #skF_24 > #skF_28 > #skF_38 > #skF_2 > #skF_40 > #skF_36 > #skF_7 > #skF_1 > #skF_16 > #skF_21 > #skF_5 > #skF_22 > #skF_23

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(vd1124,type,
    vd1124: $i ).

tff(v0,type,
    v0: $i ).

tff('#skF_33',type,
    '#skF_33': ( $i * $i * $i * $i ) > $i ).

tff('#skF_35',type,
    '#skF_35': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_29',type,
    '#skF_29': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_37',type,
    '#skF_37': ( $i * $i ) > $i ).

tff('#skF_31',type,
    '#skF_31': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_17',type,
    '#skF_17': ( $i * $i * $i * $i ) > $i ).

tff('#skF_41',type,
    '#skF_41': ( $i * $i ) > $i ).

tff('#skF_30',type,
    '#skF_30': ( $i * $i * $i * $i ) > $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i ) > $i ).

tff('#skF_34',type,
    '#skF_34': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff(vd1123,type,
    vd1123: $i ).

tff('#skF_18',type,
    '#skF_18': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_13',type,
    '#skF_13': ( $i * $i * $i * $i ) > $i ).

tff('#skF_46',type,
    '#skF_46': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(vskolem1052,type,
    vskolem1052: ( $i * $i * $i * $i ) > $i ).

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

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

tff(vskolem1139,type,
    vskolem1139: $i ).

tff(vskolem1138,type,
    vskolem1138: $i ).

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

tff('#skF_10',type,
    '#skF_10': ( $i * $i * $i * $i ) > $i ).

tff('#skF_14',type,
    '#skF_14': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_9',type,
    '#skF_9': ( $i * $i * $i * $i ) > $i ).

tff('#skF_45',type,
    '#skF_45': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(vskolem1147,type,
    vskolem1147: $i ).

tff('#skF_27',type,
    '#skF_27': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_44',type,
    '#skF_44': ( $i * $i * $i * $i ) > $i ).

tff(vskolem1145,type,
    vskolem1145: $i ).

tff(vd1128,type,
    vd1128: $i ).

tff('#skF_12',type,
    '#skF_12': ( $i * $i * $i * $i ) > $i ).

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

tff(vd14,type,
    vd14: $i ).

tff('#skF_39',type,
    '#skF_39': ( $i * $i * $i ) > $i ).

tff('#skF_20',type,
    '#skF_20': ( $i * $i * $i * $i ) > $i ).

tff(vd1130,type,
    vd1130: $i ).

tff('#skF_15',type,
    '#skF_15': ( $i * $i * $i * $i ) > $i ).

tff('#skF_48',type,
    '#skF_48': ( $i * $i * $i ) > $i ).

tff('#skF_42',type,
    '#skF_42': ( $i * $i * $i * $i ) > $i ).

tff('#skF_25',type,
    '#skF_25': ( $i * $i * $i * $i ) > $i ).

tff('#skF_47',type,
    '#skF_47': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_32',type,
    '#skF_32': ( $i * $i * $i * $i * $i ) > $i ).

tff(vd1129,type,
    vd1129: $i ).

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

tff('#skF_19',type,
    '#skF_19': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff(vskolem1078,type,
    vskolem1078: ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_11',type,
    '#skF_11': ( $i * $i * $i * $i ) > $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i ) > $i ).

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

tff('#skF_26',type,
    '#skF_26': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(vskolem1136,type,
    vskolem1136: $i ).

tff(vd1126,type,
    vd1126: $i ).

tff('#skF_43',type,
    '#skF_43': ( $i * $i * $i * $i ) > $i ).

tff('#skF_24',type,
    '#skF_24': ( $i * $i ) > $i ).

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

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

tff('#skF_28',type,
    '#skF_28': ( $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_38',type,
    '#skF_38': ( $i * $i * $i * $i ) > $i ).

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

tff(vd684,type,
    vd684: $i ).

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

tff('#skF_40',type,
    '#skF_40': ( $i * $i ) > $i ).

tff(vskolem1140,type,
    vskolem1140: $i ).

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

tff(vskolem1146,type,
    vskolem1146: $i ).

tff('#skF_36',type,
    '#skF_36': ( $i * $i * $i * $i ) > $i ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i ) > $i ).

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

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

tff(vd1127,type,
    vd1127: $i ).

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

tff('#skF_16',type,
    '#skF_16': ( $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': ( $i * $i ) > $i ).

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

tff('#skF_22',type,
    '#skF_22': ( $i * $i * $i * $i ) > $i ).

tff('#skF_23',type,
    '#skF_23': ( $i * $i * $i * $i ) > $i ).

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

tff(vd1125,type,
    vd1125: $i ).

tff(f_103,axiom,
    ( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
    & ( vd1127 != vd1129 )
    & ( vd1123 != vd1125 )
    & ( vd1129 = vd1130 )
    & rpoint(vd1130)
    & ( vd1127 = vd1128 )
    & rpoint(vd1128)
    & ( vd1125 = vd1126 )
    & rpoint(vd1126)
    & ( vd1123 = vd1124 )
    & rpoint(vd1124) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))),1133,0),and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))),1132,0),and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))),1131,0),and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))),2),pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))),1))))),and(pred(conjunct1(conjunct2(conjunct2(242))),2),pred(conjunct1(conjunct2(conjunct2(242))),1))),and(pred(conjunct1(conjunct2(242)),2),pred(conjunct1(conjunct2(242)),1))),and(pred(conjunct1(242),2),pred(conjunct1(242),1)))) ).

tff(f_405,axiom,
    ! [Vd217,Vd218] :
      ( ( ( Vd217 != Vd218 )
        & ? [Vd221] :
            ( ( Vd218 = Vd221 )
            & rpoint(Vd221) )
        & ? [Vd220] :
            ( ( Vd217 = Vd220 )
            & rpoint(Vd220) ) )
     => ? [Vd223] :
          ( ron(Vd218,Vd223)
          & ron(Vd217,Vd223)
          & rline(Vd223) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(51),0),imp(cond(axiom(51),0)))) ).

tff(f_43,axiom,
    vd1123 = vd1129,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(258,1150,0)) ).

tff(f_254,axiom,
    ! [Vd225,Vd226] :
      ( ( ( Vd225 != Vd226 )
        & ? [Vd230] :
            ( ( Vd226 = Vd230 )
            & rpoint(Vd230) )
        & ? [Vd229] :
            ( ( Vd225 = Vd229 )
            & rpoint(Vd229) ) )
     => ? [Vd231] :
          ( ron(Vd226,Vd231)
          & rcenter(Vd225,Vd231)
          & rcircle(Vd231) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(53),0),imp(cond(axiom(53),0)))) ).

tff(f_42,negated_conjecture,
    ~ ? [Vd1151,Vd1152] :
        ( ron(vd1127,Vd1152)
        & rcenter(vd1123,Vd1152)
        & rcircle(Vd1152)
        & ron(vd1125,Vd1151)
        & ron(vd1123,Vd1151)
        & rline(Vd1151) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qe(259)) ).

tff(c_48,plain,
    vd1125 != vd1123,
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_34,plain,
    vd1124 = vd1123,
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_32,plain,
    rpoint(vd1124),
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_595,plain,
    rpoint(vd1123),
    inference(demodulation,[status(thm),theory(equality)],[c_34,c_32]) ).

tff(c_38,plain,
    vd1126 = vd1125,
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_36,plain,
    rpoint(vd1126),
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_594,plain,
    rpoint(vd1125),
    inference(demodulation,[status(thm),theory(equality)],[c_38,c_36]) ).

tff(c_130,plain,
    ! [Vd220_71,Vd221_70] :
      ( rline('#skF_5'(Vd220_71,Vd221_70))
      | ~ rpoint(Vd220_71)
      | ~ rpoint(Vd221_70)
      | ( Vd221_70 = Vd220_71 ) ),
    inference(cnfTransformation,[status(thm)],[f_405]) ).

tff(c_134,plain,
    ! [Vd221_70,Vd220_71] :
      ( ron(Vd221_70,'#skF_5'(Vd220_71,Vd221_70))
      | ~ rpoint(Vd220_71)
      | ~ rpoint(Vd221_70)
      | ( Vd221_70 = Vd220_71 ) ),
    inference(cnfTransformation,[status(thm)],[f_405]) ).

tff(c_3142,plain,
    ! [Vd220_1183,Vd221_1184] :
      ( ron(Vd220_1183,'#skF_5'(Vd220_1183,Vd221_1184))
      | ~ rpoint(Vd220_1183)
      | ~ rpoint(Vd221_1184)
      | ( Vd221_1184 = Vd220_1183 ) ),
    inference(cnfTransformation,[status(thm)],[f_405]) ).

tff(c_4,plain,
    vd1129 = vd1123,
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_50,plain,
    vd1129 != vd1127,
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_596,plain,
    vd1127 != vd1123,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_50]) ).

tff(c_42,plain,
    vd1128 = vd1127,
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_40,plain,
    rpoint(vd1128),
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_593,plain,
    rpoint(vd1127),
    inference(demodulation,[status(thm),theory(equality)],[c_42,c_40]) ).

tff(c_84,plain,
    ! [Vd229_55,Vd230_54] :
      ( rcircle('#skF_3'(Vd229_55,Vd230_54))
      | ~ rpoint(Vd229_55)
      | ~ rpoint(Vd230_54)
      | ( Vd230_54 = Vd229_55 ) ),
    inference(cnfTransformation,[status(thm)],[f_254]) ).

tff(c_86,plain,
    ! [Vd229_55,Vd230_54] :
      ( rcenter(Vd229_55,'#skF_3'(Vd229_55,Vd230_54))
      | ~ rpoint(Vd229_55)
      | ~ rpoint(Vd230_54)
      | ( Vd230_54 = Vd229_55 ) ),
    inference(cnfTransformation,[status(thm)],[f_254]) ).

tff(c_1828,plain,
    ! [Vd230_1074,Vd229_1075] :
      ( ron(Vd230_1074,'#skF_3'(Vd229_1075,Vd230_1074))
      | ~ rpoint(Vd229_1075)
      | ~ rpoint(Vd230_1074)
      | ( Vd230_1074 = Vd229_1075 ) ),
    inference(cnfTransformation,[status(thm)],[f_254]) ).

tff(c_2,plain,
    ! [Vd1151_1,Vd1152_2] :
      ( ~ rline(Vd1151_1)
      | ~ ron(vd1123,Vd1151_1)
      | ~ ron(vd1125,Vd1151_1)
      | ~ rcircle(Vd1152_2)
      | ~ rcenter(vd1123,Vd1152_2)
      | ~ ron(vd1127,Vd1152_2) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_631,plain,
    ! [Vd1152_2] :
      ( ~ rcircle(Vd1152_2)
      | ~ rcenter(vd1123,Vd1152_2)
      | ~ ron(vd1127,Vd1152_2) ),
    inference(splitLeft,[status(thm)],[c_2]) ).

tff(c_1835,plain,
    ! [Vd229_1075] :
      ( ~ rcircle('#skF_3'(Vd229_1075,vd1127))
      | ~ rcenter(vd1123,'#skF_3'(Vd229_1075,vd1127))
      | ~ rpoint(Vd229_1075)
      | ~ rpoint(vd1127)
      | ( vd1127 = Vd229_1075 ) ),
    inference(resolution,[status(thm)],[c_1828,c_631]) ).

tff(c_1879,plain,
    ! [Vd229_1079] :
      ( ~ rcircle('#skF_3'(Vd229_1079,vd1127))
      | ~ rcenter(vd1123,'#skF_3'(Vd229_1079,vd1127))
      | ~ rpoint(Vd229_1079)
      | ( vd1127 = Vd229_1079 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_593,c_1835]) ).

tff(c_1883,plain,
    ( ~ rcircle('#skF_3'(vd1123,vd1127))
    | ~ rpoint(vd1123)
    | ~ rpoint(vd1127)
    | ( vd1127 = vd1123 ) ),
    inference(resolution,[status(thm)],[c_86,c_1879]) ).

tff(c_1886,plain,
    ( ~ rcircle('#skF_3'(vd1123,vd1127))
    | ( vd1127 = vd1123 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_593,c_595,c_1883]) ).

tff(c_1887,plain,
    ~ rcircle('#skF_3'(vd1123,vd1127)),
    inference(negUnitSimplification,[status(thm)],[c_596,c_1886]) ).

tff(c_1890,plain,
    ( ~ rpoint(vd1123)
    | ~ rpoint(vd1127)
    | ( vd1127 = vd1123 ) ),
    inference(resolution,[status(thm)],[c_84,c_1887]) ).

tff(c_1893,plain,
    vd1127 = vd1123,
    inference(demodulation,[status(thm),theory(equality)],[c_593,c_595,c_1890]) ).

tff(c_1895,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_596,c_1893]) ).

tff(c_1896,plain,
    ! [Vd1151_1] :
      ( ~ rline(Vd1151_1)
      | ~ ron(vd1123,Vd1151_1)
      | ~ ron(vd1125,Vd1151_1) ),
    inference(splitRight,[status(thm)],[c_2]) ).

tff(c_3149,plain,
    ! [Vd221_1184] :
      ( ~ rline('#skF_5'(vd1125,Vd221_1184))
      | ~ ron(vd1123,'#skF_5'(vd1125,Vd221_1184))
      | ~ rpoint(vd1125)
      | ~ rpoint(Vd221_1184)
      | ( vd1125 = Vd221_1184 ) ),
    inference(resolution,[status(thm)],[c_3142,c_1896]) ).

tff(c_3281,plain,
    ! [Vd221_1188] :
      ( ~ rline('#skF_5'(vd1125,Vd221_1188))
      | ~ ron(vd1123,'#skF_5'(vd1125,Vd221_1188))
      | ~ rpoint(Vd221_1188)
      | ( vd1125 = Vd221_1188 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_594,c_3149]) ).

tff(c_3285,plain,
    ( ~ rline('#skF_5'(vd1125,vd1123))
    | ~ rpoint(vd1125)
    | ~ rpoint(vd1123)
    | ( vd1125 = vd1123 ) ),
    inference(resolution,[status(thm)],[c_134,c_3281]) ).

tff(c_3288,plain,
    ( ~ rline('#skF_5'(vd1125,vd1123))
    | ( vd1125 = vd1123 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_595,c_594,c_3285]) ).

tff(c_3289,plain,
    ~ rline('#skF_5'(vd1125,vd1123)),
    inference(negUnitSimplification,[status(thm)],[c_48,c_3288]) ).

tff(c_3292,plain,
    ( ~ rpoint(vd1125)
    | ~ rpoint(vd1123)
    | ( vd1125 = vd1123 ) ),
    inference(resolution,[status(thm)],[c_130,c_3289]) ).

tff(c_3295,plain,
    vd1125 = vd1123,
    inference(demodulation,[status(thm),theory(equality)],[c_595,c_594,c_3292]) ).

tff(c_3297,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_48,c_3295]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : GEO284+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15  % 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
% 0.15/0.36  % Computer : n028.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 : Fri Aug  4 00:53:24 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 11.13/3.69  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.13/3.70  
% 11.13/3.70  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.13/3.73  
% 11.13/3.73  Inference rules
% 11.13/3.73  ----------------------
% 11.13/3.73  #Ref     : 0
% 11.13/3.73  #Sup     : 714
% 11.13/3.73  #Fact    : 0
% 11.13/3.73  #Define  : 0
% 11.13/3.73  #Split   : 9
% 11.13/3.73  #Chain   : 0
% 11.13/3.73  #Close   : 0
% 11.13/3.73  
% 11.13/3.73  Ordering : KBO
% 11.13/3.73  
% 11.13/3.73  Simplification rules
% 11.13/3.73  ----------------------
% 11.13/3.73  #Subsume      : 33
% 11.13/3.73  #Demod        : 325
% 11.13/3.73  #Tautology    : 263
% 11.13/3.73  #SimpNegUnit  : 14
% 11.13/3.73  #BackRed      : 36
% 11.13/3.73  
% 11.13/3.73  #Partial instantiations: 0
% 11.13/3.73  #Strategies tried      : 1
% 11.13/3.73  
% 11.13/3.73  Timing (in seconds)
% 11.13/3.73  ----------------------
% 11.13/3.73  Preprocessing        : 1.21
% 11.13/3.73  Parsing              : 0.58
% 11.13/3.73  CNF conversion       : 0.10
% 11.13/3.73  Main loop            : 1.42
% 11.13/3.73  Inferencing          : 0.32
% 11.13/3.73  Reduction            : 0.43
% 11.13/3.73  Demodulation         : 0.29
% 11.13/3.73  BG Simplification    : 0.12
% 11.13/3.73  Subsumption          : 0.50
% 11.13/3.73  Abstraction          : 0.04
% 11.13/3.73  MUC search           : 0.00
% 11.13/3.73  Cooper               : 0.00
% 11.13/3.73  Total                : 2.69
% 11.13/3.73  Index Insertion      : 0.00
% 11.13/3.73  Index Deletion       : 0.00
% 11.13/3.74  Index Matching       : 0.00
% 11.13/3.74  BG Taut test         : 0.00
%------------------------------------------------------------------------------