TSTP Solution File: GRP748+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP748+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/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 10:42:03 EDT 2023

% Result   : Theorem 248.19s 181.02s
% Output   : CNFRefutation 248.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  100 (  69 unt;  17 typ;   0 def)
%            Number of atoms       :   99 (  97 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (   6   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  13 con; 0-2 aty)
%            Number of variables   :  130 (; 130   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ rd > mult > ld > #nlpp > i > unit > #skF_11 > #skF_7 > #skF_10 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_9 > #skF_8 > #skF_4 > #skF_12

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_36,axiom,
    ! [A] : ( mult(unit,A) = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).

tff(f_44,axiom,
    ! [A] : ( mult(i(A),A) = unit ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).

tff(f_38,axiom,
    ! [C,B,A] : ( mult(mult(mult(A,B),C),B) = mult(A,mult(mult(B,C),B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).

tff(f_40,axiom,
    ! [B,A] : ( mult(mult(A,B),i(B)) = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).

tff(f_42,axiom,
    ! [A] : ( mult(A,i(A)) = unit ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).

tff(f_28,axiom,
    ! [B,A] : ( ld(A,mult(A,B)) = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

tff(f_48,axiom,
    ! [B,A] :
      ( ( mult(A,B) = mult(B,A) )
      | ( mult(i(A),mult(A,B)) = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).

tff(f_60,negated_conjecture,
    ~ ( ! [X0,X1,X2] : ( mult(X2,mult(X0,mult(X2,X1))) = mult(mult(mult(X2,X0),X2),X1) )
      | ! [X3,X4,X5] : ( mult(X3,mult(X5,mult(X4,X5))) = mult(mult(mult(X3,X5),X4),X5) )
      | ! [X6,X7,X8] : ( mult(mult(X8,X6),mult(X7,X8)) = mult(mult(X8,mult(X6,X7)),X8) )
      | ! [X9,X10,X11] : ( mult(mult(X11,X9),mult(X10,X11)) = mult(X11,mult(mult(X9,X10),X11)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

tff(f_34,axiom,
    ! [A] : ( mult(A,unit) = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

tff(f_26,axiom,
    ! [B,A] : ( mult(A,ld(A,B)) = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

tff(f_30,axiom,
    ! [B,A] : ( mult(rd(A,B),B) = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

tff(f_32,axiom,
    ! [B,A] : ( rd(mult(A,B),B) = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

tff(c_12,plain,
    ! [A_10] : ( mult(unit,A_10) = A_10 ),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_20,plain,
    ! [A_17] : ( mult(i(A_17),A_17) = unit ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_1137,plain,
    ! [A_63,B_64,C_65] : ( mult(mult(mult(A_63,B_64),C_65),B_64) = mult(A_63,mult(mult(B_64,C_65),B_64)) ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_1226,plain,
    ! [A_17,C_65] : ( mult(i(A_17),mult(mult(A_17,C_65),A_17)) = mult(mult(unit,C_65),A_17) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_1137]) ).

tff(c_1255,plain,
    ! [A_17,C_65] : ( mult(i(A_17),mult(mult(A_17,C_65),A_17)) = mult(C_65,A_17) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_1226]) ).

tff(c_16,plain,
    ! [A_15,B_14] : ( mult(mult(A_15,B_14),i(B_14)) = A_15 ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_18,plain,
    ! [A_16] : ( mult(A_16,i(A_16)) = unit ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_105,plain,
    ! [A_24,B_25] : ( ld(A_24,mult(A_24,B_25)) = B_25 ),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_175,plain,
    ! [A_29] : ( ld(A_29,unit) = i(A_29) ),
    inference(superposition,[status(thm),theory(equality)],[c_18,c_105]) ).

tff(c_117,plain,
    ! [A_17] : ( ld(i(A_17),unit) = A_17 ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_105]) ).

tff(c_181,plain,
    ! [A_17] : ( i(i(A_17)) = A_17 ),
    inference(superposition,[status(thm),theory(equality)],[c_175,c_117]) ).

tff(c_2429,plain,
    ! [A_86,C_87] : ( mult(i(A_86),mult(mult(A_86,C_87),A_86)) = mult(C_87,A_86) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_1226]) ).

tff(c_22,plain,
    ! [A_19,B_18] :
      ( ( mult(i(A_19),mult(A_19,B_18)) = B_18 )
      | ( mult(B_18,A_19) = mult(A_19,B_18) ) ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_2447,plain,
    ! [A_86,C_87] :
      ( ( mult(i(i(A_86)),mult(C_87,A_86)) = mult(mult(A_86,C_87),A_86) )
      | ( mult(mult(mult(A_86,C_87),A_86),i(A_86)) = mult(i(A_86),mult(mult(A_86,C_87),A_86)) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2429,c_22]) ).

tff(c_181094,plain,
    ! [A_698,C_699] :
      ( ( mult(mult(A_698,C_699),A_698) = mult(A_698,mult(C_699,A_698)) )
      | ( mult(C_699,A_698) = mult(A_698,C_699) ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1255,c_16,c_181,c_2447]) ).

tff(c_14,plain,
    ! [A_13,B_12,C_11] : ( mult(mult(mult(A_13,B_12),C_11),B_12) = mult(A_13,mult(mult(B_12,C_11),B_12)) ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_28,plain,
    mult(mult(mult('#skF_4','#skF_6'),'#skF_5'),'#skF_6') != mult('#skF_4',mult('#skF_6',mult('#skF_5','#skF_6'))),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_31,plain,
    mult('#skF_4',mult(mult('#skF_6','#skF_5'),'#skF_6')) != mult('#skF_4',mult('#skF_6',mult('#skF_5','#skF_6'))),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_28]) ).

tff(c_182357,plain,
    mult('#skF_5','#skF_6') = mult('#skF_6','#skF_5'),
    inference(superposition,[status(thm),theory(equality)],[c_181094,c_31]) ).

tff(c_10,plain,
    ! [A_9] : ( mult(A_9,unit) = A_9 ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_1233,plain,
    ! [A_63,B_64] : ( mult(A_63,mult(mult(B_64,unit),B_64)) = mult(mult(A_63,B_64),B_64) ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_1137]) ).

tff(c_1257,plain,
    ! [A_63,B_64] : ( mult(mult(A_63,B_64),B_64) = mult(A_63,mult(B_64,B_64)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_1233]) ).

tff(c_182813,plain,
    mult(mult('#skF_6','#skF_5'),'#skF_6') = mult('#skF_5',mult('#skF_6','#skF_6')),
    inference(superposition,[status(thm),theory(equality)],[c_182357,c_1257]) ).

tff(c_2,plain,
    ! [A_2,B_1] : ( mult(A_2,ld(A_2,B_1)) = B_1 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_6,plain,
    ! [A_6,B_5] : ( mult(rd(A_6,B_5),B_5) = A_6 ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_490,plain,
    ! [A_43,B_44] : ( mult(mult(A_43,B_44),i(B_44)) = A_43 ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_514,plain,
    ! [A_6,B_5] : ( mult(A_6,i(B_5)) = rd(A_6,B_5) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_490]) ).

tff(c_1219,plain,
    ! [A_16,C_65] : ( mult(A_16,mult(mult(i(A_16),C_65),i(A_16))) = mult(mult(unit,C_65),i(A_16)) ),
    inference(superposition,[status(thm),theory(equality)],[c_18,c_1137]) ).

tff(c_2630,plain,
    ! [A_89,C_90] : ( mult(A_89,rd(mult(i(A_89),C_90),A_89)) = rd(C_90,A_89) ),
    inference(demodulation,[status(thm),theory(equality)],[c_514,c_514,c_12,c_1219]) ).

tff(c_2714,plain,
    ! [A_89,B_1] : ( rd(ld(i(A_89),B_1),A_89) = mult(A_89,rd(B_1,A_89)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_2630]) ).

tff(c_980,plain,
    ! [A_59,B_60] :
      ( ( mult(i(A_59),mult(A_59,B_60)) = B_60 )
      | ( mult(B_60,A_59) = mult(A_59,B_60) ) ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_1016,plain,
    ! [A_2,B_1] :
      ( ( mult(i(A_2),B_1) = ld(A_2,B_1) )
      | ( mult(ld(A_2,B_1),A_2) = mult(A_2,ld(A_2,B_1)) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_980]) ).

tff(c_5153,plain,
    ! [A_122,B_123] :
      ( ( mult(i(A_122),B_123) = ld(A_122,B_123) )
      | ( mult(ld(A_122,B_123),A_122) = B_123 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_1016]) ).

tff(c_5248,plain,
    ! [B_5,B_123] :
      ( ( mult(i(i(B_5)),B_123) = ld(i(B_5),B_123) )
      | ( rd(ld(i(B_5),B_123),B_5) = B_123 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_514,c_5153]) ).

tff(c_5289,plain,
    ! [B_5,B_123] :
      ( ( ld(i(B_5),B_123) = mult(B_5,B_123) )
      | ( rd(ld(i(B_5),B_123),B_5) = B_123 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_181,c_5248]) ).

tff(c_67916,plain,
    ! [B_435,B_436] :
      ( ( ld(i(B_435),B_436) = mult(B_435,B_436) )
      | ( mult(B_435,rd(B_436,B_435)) = B_436 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2714,c_5289]) ).

tff(c_4,plain,
    ! [A_4,B_3] : ( ld(A_4,mult(A_4,B_3)) = B_3 ),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_69375,plain,
    ! [B_440,B_441] :
      ( ( rd(B_440,B_441) = ld(B_441,B_440) )
      | ( ld(i(B_441),B_440) = mult(B_441,B_440) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_67916,c_4]) ).

tff(c_69637,plain,
    ! [B_441,B_440] :
      ( ( mult(i(B_441),mult(B_441,B_440)) = B_440 )
      | ( rd(B_440,B_441) = ld(B_441,B_440) ) ),
    inference(superposition,[status(thm),theory(equality)],[c_69375,c_2]) ).

tff(c_2513,plain,
    ! [A_2,B_1] : ( mult(i(A_2),mult(B_1,A_2)) = mult(ld(A_2,B_1),A_2) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_2429]) ).

tff(c_182777,plain,
    mult(i('#skF_6'),mult('#skF_6','#skF_5')) = mult(ld('#skF_6','#skF_5'),'#skF_6'),
    inference(superposition,[status(thm),theory(equality)],[c_182357,c_2513]) ).

tff(c_207716,plain,
    ( ( mult(ld('#skF_6','#skF_5'),'#skF_6') = '#skF_5' )
    | ( rd('#skF_5','#skF_6') = ld('#skF_6','#skF_5') ) ),
    inference(superposition,[status(thm),theory(equality)],[c_69637,c_182777]) ).

tff(c_353693,plain,
    rd('#skF_5','#skF_6') = ld('#skF_6','#skF_5'),
    inference(splitLeft,[status(thm)],[c_207716]) ).

tff(c_8,plain,
    ! [A_8,B_7] : ( rd(mult(A_8,B_7),B_7) = A_8 ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_182828,plain,
    rd(mult('#skF_6','#skF_5'),'#skF_6') = '#skF_5',
    inference(superposition,[status(thm),theory(equality)],[c_182357,c_8]) ).

tff(c_789,plain,
    ! [A_53,B_54] : ( ld(mult(A_53,B_54),A_53) = i(B_54) ),
    inference(superposition,[status(thm),theory(equality)],[c_490,c_4]) ).

tff(c_820,plain,
    ! [A_2,B_1] : ( i(ld(A_2,B_1)) = ld(B_1,A_2) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_789]) ).

tff(c_2668,plain,
    ! [A_89,C_90] : ( rd(mult(i(A_89),C_90),A_89) = ld(A_89,rd(C_90,A_89)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2630,c_4]) ).

tff(c_1199,plain,
    ! [A_15,B_14,C_65] : ( mult(mult(A_15,B_14),mult(mult(i(B_14),C_65),i(B_14))) = mult(mult(A_15,C_65),i(B_14)) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_1137]) ).

tff(c_10192,plain,
    ! [A_175,B_176,C_177] : ( mult(mult(A_175,B_176),rd(mult(i(B_176),C_177),B_176)) = rd(mult(A_175,C_177),B_176) ),
    inference(demodulation,[status(thm),theory(equality)],[c_514,c_514,c_1199]) ).

tff(c_502,plain,
    ! [A_43,B_44] : ( ld(mult(A_43,B_44),A_43) = i(B_44) ),
    inference(superposition,[status(thm),theory(equality)],[c_490,c_4]) ).

tff(c_10288,plain,
    ! [A_175,C_177,B_176] : ( ld(rd(mult(A_175,C_177),B_176),mult(A_175,B_176)) = i(rd(mult(i(B_176),C_177),B_176)) ),
    inference(superposition,[status(thm),theory(equality)],[c_10192,c_502]) ).

tff(c_192241,plain,
    ! [A_704,C_705,B_706] : ( ld(rd(mult(A_704,C_705),B_706),mult(A_704,B_706)) = ld(rd(C_705,B_706),B_706) ),
    inference(demodulation,[status(thm),theory(equality)],[c_820,c_2668,c_10288]) ).

tff(c_192490,plain,
    ld(rd('#skF_5','#skF_6'),'#skF_6') = ld('#skF_5',mult('#skF_6','#skF_6')),
    inference(superposition,[status(thm),theory(equality)],[c_182828,c_192241]) ).

tff(c_353710,plain,
    ld(ld('#skF_6','#skF_5'),'#skF_6') = ld('#skF_5',mult('#skF_6','#skF_6')),
    inference(demodulation,[status(thm),theory(equality)],[c_353693,c_192490]) ).

tff(c_13782,plain,
    ! [A_201,B_202,C_203] : ( mult(A_201,mult(mult(ld(A_201,B_202),C_203),ld(A_201,B_202))) = mult(mult(B_202,C_203),ld(A_201,B_202)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_1137]) ).

tff(c_14085,plain,
    ! [B_202,A_201,B_1] : ( mult(mult(B_202,ld(ld(A_201,B_202),B_1)),ld(A_201,B_202)) = mult(A_201,mult(B_1,ld(A_201,B_202))) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_13782]) ).

tff(c_436328,plain,
    mult(mult('#skF_5',ld('#skF_5',mult('#skF_6','#skF_6'))),ld('#skF_6','#skF_5')) = mult('#skF_6',mult('#skF_6',ld('#skF_6','#skF_5'))),
    inference(superposition,[status(thm),theory(equality)],[c_353710,c_14085]) ).

tff(c_436517,plain,
    mult(mult('#skF_6','#skF_6'),ld('#skF_6','#skF_5')) = mult('#skF_6','#skF_5'),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_436328]) ).

tff(c_444571,plain,
    mult('#skF_6',mult(mult('#skF_6',ld('#skF_6','#skF_5')),'#skF_6')) = mult(mult('#skF_6','#skF_5'),'#skF_6'),
    inference(superposition,[status(thm),theory(equality)],[c_436517,c_14]) ).

tff(c_444743,plain,
    mult('#skF_5',mult('#skF_6','#skF_6')) = mult('#skF_6',mult('#skF_6','#skF_5')),
    inference(demodulation,[status(thm),theory(equality)],[c_182813,c_182357,c_2,c_444571]) ).

tff(c_182512,plain,
    mult('#skF_4',mult(mult('#skF_6','#skF_5'),'#skF_6')) != mult('#skF_4',mult('#skF_6',mult('#skF_6','#skF_5'))),
    inference(demodulation,[status(thm),theory(equality)],[c_182357,c_31]) ).

tff(c_185146,plain,
    mult('#skF_4',mult('#skF_5',mult('#skF_6','#skF_6'))) != mult('#skF_4',mult('#skF_6',mult('#skF_6','#skF_5'))),
    inference(demodulation,[status(thm),theory(equality)],[c_182813,c_182512]) ).

tff(c_465410,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_444743,c_185146]) ).

tff(c_465412,plain,
    rd('#skF_5','#skF_6') != ld('#skF_6','#skF_5'),
    inference(splitRight,[status(thm)],[c_207716]) ).

tff(c_465411,plain,
    mult(ld('#skF_6','#skF_5'),'#skF_6') = '#skF_5',
    inference(splitRight,[status(thm)],[c_207716]) ).

tff(c_465930,plain,
    ld(ld('#skF_6','#skF_5'),'#skF_5') = '#skF_6',
    inference(superposition,[status(thm),theory(equality)],[c_465411,c_4]) ).

tff(c_401,plain,
    ! [A_39,B_40] : ( mult(A_39,ld(A_39,B_40)) = B_40 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_407,plain,
    ! [B_40,A_39] : ( rd(B_40,ld(A_39,B_40)) = A_39 ),
    inference(superposition,[status(thm),theory(equality)],[c_401,c_8]) ).

tff(c_468248,plain,
    rd('#skF_5','#skF_6') = ld('#skF_6','#skF_5'),
    inference(superposition,[status(thm),theory(equality)],[c_465930,c_407]) ).

tff(c_468320,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_465412,c_468248]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP748+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.35  % Computer : n028.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.36  % DateTime : Thu Aug  3 22:24:54 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 248.19/181.02  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 248.19/181.03  
% 248.19/181.03  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 248.19/181.06  
% 248.19/181.06  Inference rules
% 248.19/181.06  ----------------------
% 248.19/181.06  #Ref     : 0
% 248.19/181.06  #Sup     : 119224
% 248.19/181.06  #Fact    : 0
% 248.19/181.06  #Define  : 0
% 248.19/181.06  #Split   : 4
% 248.19/181.06  #Chain   : 0
% 248.19/181.06  #Close   : 0
% 248.19/181.07  
% 248.19/181.07  Ordering : KBO
% 248.19/181.07  
% 248.19/181.07  Simplification rules
% 248.19/181.07  ----------------------
% 248.19/181.07  #Subsume      : 1813
% 248.19/181.07  #Demod        : 256454
% 248.19/181.07  #Tautology    : 28071
% 248.19/181.07  #SimpNegUnit  : 1
% 248.19/181.07  #BackRed      : 139
% 248.19/181.07  
% 248.19/181.07  #Partial instantiations: 0
% 248.19/181.07  #Strategies tried      : 1
% 248.19/181.07  
% 248.19/181.07  Timing (in seconds)
% 248.19/181.07  ----------------------
% 248.19/181.07  Preprocessing        : 0.47
% 248.19/181.07  Parsing              : 0.26
% 248.19/181.07  CNF conversion       : 0.03
% 248.19/181.07  Main loop            : 179.42
% 248.19/181.07  Inferencing          : 10.23
% 248.19/181.07  Reduction            : 119.43
% 248.19/181.07  Demodulation         : 114.16
% 248.19/181.07  BG Simplification    : 1.81
% 248.19/181.07  Subsumption          : 34.95
% 248.19/181.07  Abstraction          : 4.17
% 248.19/181.07  MUC search           : 0.00
% 248.19/181.07  Cooper               : 0.00
% 248.19/181.07  Total                : 179.94
% 248.19/181.07  Index Insertion      : 0.00
% 248.19/181.07  Index Deletion       : 0.00
% 248.19/181.07  Index Matching       : 0.00
% 248.19/181.07  BG Taut test         : 0.00
%------------------------------------------------------------------------------