%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS102+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:47:16 AM UTC 2026
% Result : Unsatisfiable 218.44s 218.76s
% Output : Proof 218.54s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(cTorF_substitution_1,axiom,
! [A,B] :
( ( cTorF(A)
& A = B )
=> cTorF(B) ),
file('theBenchmark.p',cTorF_substitution_1) ).
fof(cowlNothing_substitution_1,axiom,
! [A,B] :
( ( cowlNothing(A)
& A = B )
=> cowlNothing(B) ),
file('theBenchmark.p',cowlNothing_substitution_1) ).
fof(cowlThing_substitution_1,axiom,
! [A,B] :
( ( cowlThing(A)
& A = B )
=> cowlThing(B) ),
file('theBenchmark.p',cowlThing_substitution_1) ).
fof(xsd_integer_substitution_1,axiom,
! [A,B] :
( ( xsd_integer(A)
& A = B )
=> xsd_integer(B) ),
file('theBenchmark.p',xsd_integer_substitution_1) ).
fof(xsd_string_substitution_1,axiom,
! [A,B] :
( ( xsd_string(A)
& A = B )
=> xsd_string(B) ),
file('theBenchmark.p',xsd_string_substitution_1) ).
fof(axiom_0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X] :
( cTorF(X)
<=> ( X = iminus1
| X = iplus1 ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cTorF(X)
<=> ( X = iplus4
| X = iminus4 ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cTorF(X)
<=> ( X = iminus2
| X = iplus2 ) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cTorF(X)
<=> ( X = iminus7
| X = iplus7 ) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cTorF(X)
<=> ( X = iminus5
| X = iplus5 ) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cTorF(X)
<=> ( X = iminus3
| X = iplus3 ) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( cTorF(X)
<=> ( X = iF
| X = iT ) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( cTorF(X)
<=> ( X = iminus8
| X = iplus8 ) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X] :
( cTorF(X)
<=> ( X = iplus6
| X = iminus6 ) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X] :
( cTorF(X)
<=> ( X = iplus9
| X = iminus9 ) ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
cowlThing(iF),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
( iT = iplus1
| iT = iplus2
| iT = iminus6 ),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
( iT = iminus7
| iT = iplus9
| iT = iminus6 ),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
( iT = iplus7
| iT = iminus3
| iT = iplus8 ),
file('theBenchmark.p',axiom_15) ).
fof(axiom_16,axiom,
( iT = iminus7
| iT = iplus9
| iT = iplus5 ),
file('theBenchmark.p',axiom_16) ).
fof(axiom_17,axiom,
( iT = iplus9
| iT = iplus1
| iT = iminus6 ),
file('theBenchmark.p',axiom_17) ).
fof(axiom_18,axiom,
( iT = iplus4
| iT = iminus9
| iT = iplus3 ),
file('theBenchmark.p',axiom_18) ).
fof(axiom_19,axiom,
( iT = iplus1
| iT = iminus6
| iT = iminus9 ),
file('theBenchmark.p',axiom_19) ).
fof(axiom_20,axiom,
cowlThing(iT),
file('theBenchmark.p',axiom_20) ).
fof(axiom_21,axiom,
( iT = iplus9
| iT = iminus4
| iT = iminus8 ),
file('theBenchmark.p',axiom_21) ).
fof(axiom_22,axiom,
( iT = iplus4
| iT = iplus6
| iT = iplus3 ),
file('theBenchmark.p',axiom_22) ).
fof(axiom_23,axiom,
( iT = iplus4
| iT = iplus7
| iT = iplus1 ),
file('theBenchmark.p',axiom_23) ).
fof(axiom_24,axiom,
( iT = iminus2
| iT = iminus8
| iT = iplus3 ),
file('theBenchmark.p',axiom_24) ).
fof(axiom_25,axiom,
( iT = iplus4
| iT = iplus6
| iT = iminus8 ),
file('theBenchmark.p',axiom_25) ).
fof(axiom_26,axiom,
( iT = iminus2
| iT = iminus9
| iT = iplus3 ),
file('theBenchmark.p',axiom_26) ).
fof(axiom_27,axiom,
( iT = iminus7
| iT = iminus2
| iT = iplus6 ),
file('theBenchmark.p',axiom_27) ).
fof(axiom_28,axiom,
( iT = iminus3
| iT = iminus4
| iT = iplus6 ),
file('theBenchmark.p',axiom_28) ).
fof(axiom_29,axiom,
( iT = iminus4
| iT = iplus1
| iT = iminus6 ),
file('theBenchmark.p',axiom_29) ).
fof(axiom_30,axiom,
( iT = iplus9
| iT = iminus4
| iT = iplus1 ),
file('theBenchmark.p',axiom_30) ).
fof(axiom_31,axiom,
( iT = iminus4
| iT = iplus2
| iT = iplus8 ),
file('theBenchmark.p',axiom_31) ).
fof(axiom_32,axiom,
( iT = iplus9
| iT = iminus4
| iT = iplus5 ),
file('theBenchmark.p',axiom_32) ).
fof(axiom_33,axiom,
( iT = iplus4
| iT = iplus6
| iT = iminus5 ),
file('theBenchmark.p',axiom_33) ).
fof(axiom_34,axiom,
( iT = iplus7
| iT = iminus5
| iT = iplus8 ),
file('theBenchmark.p',axiom_34) ).
fof(axiom_35,axiom,
( iT = iminus2
| iT = iminus9
| iT = iminus5 ),
file('theBenchmark.p',axiom_35) ).
fof(axiom_36,axiom,
( iT = iminus7
| iT = iminus3
| iT = iminus4 ),
file('theBenchmark.p',axiom_36) ).
fof(axiom_37,axiom,
( iT = iminus1
| iT = iplus4
| iT = iplus2 ),
file('theBenchmark.p',axiom_37) ).
fof(axiom_38,axiom,
( iT = iminus3
| iT = iplus1
| iT = iminus2 ),
file('theBenchmark.p',axiom_38) ).
fof(axiom_39,axiom,
( iT = iminus4
| iT = iplus6
| iT = iplus3 ),
file('theBenchmark.p',axiom_39) ).
fof(axiom_40,axiom,
( iT = iminus4
| iT = iminus9
| iT = iminus8 ),
file('theBenchmark.p',axiom_40) ).
fof(axiom_41,axiom,
( iT = iplus4
| iT = iplus1
| iT = iplus3 ),
file('theBenchmark.p',axiom_41) ).
fof(axiom_42,axiom,
( iT = iminus3
| iT = iplus2
| iT = iplus8 ),
file('theBenchmark.p',axiom_42) ).
fof(axiom_43,axiom,
( iT = iplus9
| iT = iminus8
| iT = iplus3 ),
file('theBenchmark.p',axiom_43) ).
fof(axiom_44,axiom,
( iT = iminus7
| iT = iplus3
| iT = iplus8 ),
file('theBenchmark.p',axiom_44) ).
fof(axiom_45,axiom,
( iT = iminus3
| iT = iminus8
| iT = iminus5 ),
file('theBenchmark.p',axiom_45) ).
fof(axiom_46,axiom,
( iT = iplus4
| iT = iplus9
| iT = iplus3 ),
file('theBenchmark.p',axiom_46) ).
fof(axiom_47,axiom,
( iT = iminus7
| iT = iplus6
| iT = iminus8 ),
file('theBenchmark.p',axiom_47) ).
fof(axiom_48,axiom,
( iT = iplus7
| iT = iminus2
| iT = iminus9 ),
file('theBenchmark.p',axiom_48) ).
fof(axiom_49,axiom,
( iT = iminus3
| iT = iminus8
| iT = iplus5 ),
file('theBenchmark.p',axiom_49) ).
fof(axiom_50,axiom,
( iT = iminus7
| iT = iplus2
| iT = iminus5 ),
file('theBenchmark.p',axiom_50) ).
fof(axiom_51,axiom,
( iT = iplus9
| iT = iminus2
| iT = iplus6 ),
file('theBenchmark.p',axiom_51) ).
fof(axiom_52,axiom,
( iT = iminus4
| iT = iplus1
| iT = iplus2 ),
file('theBenchmark.p',axiom_52) ).
fof(axiom_53,axiom,
( iT = iminus1
| iT = iminus4
| iT = iplus6 ),
file('theBenchmark.p',axiom_53) ).
fof(axiom_54,axiom,
( iT = iminus9
| iT = iplus3
| iT = iminus5 ),
file('theBenchmark.p',axiom_54) ).
fof(axiom_55,axiom,
( iT = iplus9
| iT = iplus2
| iT = iplus5 ),
file('theBenchmark.p',axiom_55) ).
fof(axiom_56,axiom,
( iT = iplus4
| iT = iminus2
| iT = iminus6 ),
file('theBenchmark.p',axiom_56) ).
fof(axiom_57,axiom,
( iT = iminus4
| iT = iplus6
| iT = iplus8 ),
file('theBenchmark.p',axiom_57) ).
fof(axiom_58,axiom,
( iT = iplus9
| iT = iplus7
| iT = iminus4 ),
file('theBenchmark.p',axiom_58) ).
fof(axiom_59,axiom,
cowlThing(iminus1),
file('theBenchmark.p',axiom_59) ).
fof(axiom_60,axiom,
cowlThing(iminus2),
file('theBenchmark.p',axiom_60) ).
fof(axiom_61,axiom,
cowlThing(iminus3),
file('theBenchmark.p',axiom_61) ).
fof(axiom_62,axiom,
cowlThing(iminus4),
file('theBenchmark.p',axiom_62) ).
fof(axiom_63,axiom,
cowlThing(iminus5),
file('theBenchmark.p',axiom_63) ).
fof(axiom_64,axiom,
cowlThing(iminus6),
file('theBenchmark.p',axiom_64) ).
fof(axiom_65,axiom,
cowlThing(iminus7),
file('theBenchmark.p',axiom_65) ).
fof(axiom_66,axiom,
cowlThing(iminus8),
file('theBenchmark.p',axiom_66) ).
fof(axiom_67,axiom,
cowlThing(iminus9),
file('theBenchmark.p',axiom_67) ).
fof(axiom_68,axiom,
cowlThing(iplus1),
file('theBenchmark.p',axiom_68) ).
fof(axiom_69,axiom,
cowlThing(iplus2),
file('theBenchmark.p',axiom_69) ).
fof(axiom_70,axiom,
cowlThing(iplus3),
file('theBenchmark.p',axiom_70) ).
fof(axiom_71,axiom,
cowlThing(iplus4),
file('theBenchmark.p',axiom_71) ).
fof(axiom_72,axiom,
cowlThing(iplus5),
file('theBenchmark.p',axiom_72) ).
fof(axiom_73,axiom,
cowlThing(iplus6),
file('theBenchmark.p',axiom_73) ).
fof(axiom_74,axiom,
cowlThing(iplus7),
file('theBenchmark.p',axiom_74) ).
fof(axiom_75,axiom,
cowlThing(iplus8),
file('theBenchmark.p',axiom_75) ).
fof(axiom_76,axiom,
cowlThing(iplus9),
file('theBenchmark.p',axiom_76) ).
fof(axiom_77,axiom,
iT != iF,
file('theBenchmark.p',axiom_77) ).
fof(f_1_1,plain,
! [A,B] :
( cTorF(B)
| ~ cTorF(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cTorF_substitution_1]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( cTorF(U_0)
| ~ cTorF(U_1)
| U_1 != U_0 ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_1,U_0] :
( cTorF(U_0)
| ~ cTorF(U_1)
| U_1 != U_0 ),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
( cTorF(U_0)
| ~ cTorF(U_1)
| U_1 != U_0 ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [A,B] :
( cowlNothing(B)
| ~ cowlNothing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlNothing_substitution_1]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( cowlNothing(U_2)
| ~ cowlNothing(U_3)
| U_3 != U_2 ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_2,U_3] :
( cowlNothing(U_2)
| ~ cowlNothing(U_3)
| U_3 != U_2 ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( cowlNothing(U_2)
| ~ cowlNothing(U_3)
| U_3 != U_2 ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [A,B] :
( cowlThing(B)
| ~ cowlThing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlThing_substitution_1]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( cowlThing(U_4)
| ~ cowlThing(U_5)
| U_5 != U_4 ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_4,U_5] :
( cowlThing(U_4)
| ~ cowlThing(U_5)
| U_5 != U_4 ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( cowlThing(U_4)
| ~ cowlThing(U_5)
| U_5 != U_4 ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( xsd_integer(U_6)
| ~ xsd_integer(U_7)
| U_7 != U_6 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_6,U_7] :
( xsd_integer(U_6)
| ~ xsd_integer(U_7)
| U_7 != U_6 ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( xsd_integer(U_6)
| ~ xsd_integer(U_7)
| U_7 != U_6 ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_5_2,plain,
! [U_9,U_8] :
( xsd_string(U_8)
| ~ xsd_string(U_9)
| U_9 != U_8 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_8,U_9] :
( xsd_string(U_8)
| ~ xsd_string(U_9)
| U_9 != U_8 ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( xsd_string(U_8)
| ~ xsd_string(U_9)
| U_9 != U_8 ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_6_2,plain,
! [U_10] :
( ~ cowlNothing(U_10)
& cowlThing(U_10) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_12] : ~ cowlNothing(U_12)
& ! [U_11] : cowlThing(U_11) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ! [U_12] : ~ cowlNothing(U_12)
& ! [U_11] : cowlThing(U_11) ),
inference(definitional_conversion,[status(esa)],[f_6_3]) ).
cnf(f_6_5,plain,
cowlThing(U_11),
inference(clausify,[status(thm)],[f_6_4]) ).
cnf(f_6_6,plain,
~ cowlNothing(U_12),
inference(clausify,[status(thm)],[f_6_4]) ).
fof(f_7_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_7_2,plain,
! [U_13] :
( ( xsd_string(U_13)
| xsd_integer(U_13) )
& ( ~ xsd_integer(U_13)
| ~ xsd_string(U_13) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_15] :
( xsd_string(U_15)
| xsd_integer(U_15) )
& ! [U_14] :
( ~ xsd_integer(U_14)
| ~ xsd_string(U_14) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
( ! [U_15] :
( xsd_string(U_15)
| xsd_integer(U_15) )
& ! [U_14] :
( ~ xsd_integer(U_14)
| ~ xsd_string(U_14) ) ),
inference(definitional_conversion,[status(esa)],[f_7_3]) ).
cnf(f_7_5,plain,
( ~ xsd_integer(U_14)
| ~ xsd_string(U_14) ),
inference(clausify,[status(thm)],[f_7_4]) ).
cnf(f_7_6,plain,
( xsd_string(U_15)
| xsd_integer(U_15) ),
inference(clausify,[status(thm)],[f_7_4]) ).
fof(f_8_1,plain,
! [X] :
( ( cTorF(X)
| ( X != iminus1
& X != iplus1 ) )
& ( X = iminus1
| X = iplus1
| ~ cTorF(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_8_2,plain,
! [U_16] :
( ( cTorF(U_16)
| ( U_16 != iminus1
& U_16 != iplus1 ) )
& ( U_16 = iminus1
| U_16 = iplus1
| ~ cTorF(U_16) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_18] :
( cTorF(U_18)
| ( U_18 != iminus1
& U_18 != iplus1 ) )
& ! [U_17] :
( U_17 = iminus1
| U_17 = iplus1
| ~ cTorF(U_17) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_18] :
( U_18 != iminus1
| ~ sP0(U_18) )
& ! [U_18] :
( U_18 != iplus1
| ~ sP0(U_18) )
& ! [U_18] :
( cTorF(U_18)
| sP0(U_18) )
& ! [U_17] :
( U_17 = iminus1
| U_17 = iplus1
| ~ cTorF(U_17) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_8_3]) ).
cnf(f_8_5,plain,
( U_17 = iminus1
| U_17 = iplus1
| ~ cTorF(U_17) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_6,plain,
( cTorF(U_18)
| sP0(U_18) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_7,plain,
( U_18 != iplus1
| ~ sP0(U_18) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_8,plain,
( U_18 != iminus1
| ~ sP0(U_18) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_9_1,plain,
! [X] :
( ( cTorF(X)
| ( X != iplus4
& X != iminus4 ) )
& ( X = iplus4
| X = iminus4
| ~ cTorF(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_9_2,plain,
! [U_19] :
( ( cTorF(U_19)
| ( U_19 != iplus4
& U_19 != iminus4 ) )
& ( U_19 = iplus4
| U_19 = iminus4
| ~ cTorF(U_19) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_21] :
( cTorF(U_21)
| ( U_21 != iplus4
& U_21 != iminus4 ) )
& ! [U_20] :
( U_20 = iplus4
| U_20 = iminus4
| ~ cTorF(U_20) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_21] :
( U_21 != iplus4
| ~ sP1(U_21) )
& ! [U_21] :
( U_21 != iminus4
| ~ sP1(U_21) )
& ! [U_21] :
( cTorF(U_21)
| sP1(U_21) )
& ! [U_20] :
( U_20 = iplus4
| U_20 = iminus4
| ~ cTorF(U_20) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_9_3]) ).
cnf(f_9_5,plain,
( U_20 = iplus4
| U_20 = iminus4
| ~ cTorF(U_20) ),
inference(clausify,[status(thm)],[f_9_4]) ).
cnf(f_9_6,plain,
( cTorF(U_21)
| sP1(U_21) ),
inference(clausify,[status(thm)],[f_9_4]) ).
cnf(f_9_7,plain,
( U_21 != iminus4
| ~ sP1(U_21) ),
inference(clausify,[status(thm)],[f_9_4]) ).
cnf(f_9_8,plain,
( U_21 != iplus4
| ~ sP1(U_21) ),
inference(clausify,[status(thm)],[f_9_4]) ).
fof(f_10_1,plain,
! [X] :
( ( cTorF(X)
| ( X != iminus2
& X != iplus2 ) )
& ( X = iminus2
| X = iplus2
| ~ cTorF(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_10_2,plain,
! [U_22] :
( ( cTorF(U_22)
| ( U_22 != iminus2
& U_22 != iplus2 ) )
& ( U_22 = iminus2
| U_22 = iplus2
| ~ cTorF(U_22) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_24] :
( cTorF(U_24)
| ( U_24 != iminus2
& U_24 != iplus2 ) )
& ! [U_23] :
( U_23 = iminus2
| U_23 = iplus2
| ~ cTorF(U_23) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
( ! [U_24] :
( U_24 != iminus2
| ~ sP2(U_24) )
& ! [U_24] :
( U_24 != iplus2
| ~ sP2(U_24) )
& ! [U_24] :
( cTorF(U_24)
| sP2(U_24) )
& ! [U_23] :
( U_23 = iminus2
| U_23 = iplus2
| ~ cTorF(U_23) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_10_3]) ).
cnf(f_10_5,plain,
( U_23 = iminus2
| U_23 = iplus2
| ~ cTorF(U_23) ),
inference(clausify,[status(thm)],[f_10_4]) ).
cnf(f_10_6,plain,
( cTorF(U_24)
| sP2(U_24) ),
inference(clausify,[status(thm)],[f_10_4]) ).
cnf(f_10_7,plain,
( U_24 != iplus2
| ~ sP2(U_24) ),
inference(clausify,[status(thm)],[f_10_4]) ).
cnf(f_10_8,plain,
( U_24 != iminus2
| ~ sP2(U_24) ),
inference(clausify,[status(thm)],[f_10_4]) ).
fof(f_11_1,plain,
! [X] :
( ( cTorF(X)
| ( X != iminus7
& X != iplus7 ) )
& ( X = iminus7
| X = iplus7
| ~ cTorF(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_11_2,plain,
! [U_25] :
( ( cTorF(U_25)
| ( U_25 != iminus7
& U_25 != iplus7 ) )
& ( U_25 = iminus7
| U_25 = iplus7
| ~ cTorF(U_25) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_27] :
( cTorF(U_27)
| ( U_27 != iminus7
& U_27 != iplus7 ) )
& ! [U_26] :
( U_26 = iminus7
| U_26 = iplus7
| ~ cTorF(U_26) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
( ! [U_27] :
( U_27 != iminus7
| ~ sP3(U_27) )
& ! [U_27] :
( U_27 != iplus7
| ~ sP3(U_27) )
& ! [U_27] :
( cTorF(U_27)
| sP3(U_27) )
& ! [U_26] :
( U_26 = iminus7
| U_26 = iplus7
| ~ cTorF(U_26) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_11_3]) ).
cnf(f_11_5,plain,
( U_26 = iminus7
| U_26 = iplus7
| ~ cTorF(U_26) ),
inference(clausify,[status(thm)],[f_11_4]) ).
cnf(f_11_6,plain,
( cTorF(U_27)
| sP3(U_27) ),
inference(clausify,[status(thm)],[f_11_4]) ).
cnf(f_11_7,plain,
( U_27 != iplus7
| ~ sP3(U_27) ),
inference(clausify,[status(thm)],[f_11_4]) ).
cnf(f_11_8,plain,
( U_27 != iminus7
| ~ sP3(U_27) ),
inference(clausify,[status(thm)],[f_11_4]) ).
fof(f_12_1,plain,
! [X] :
( ( cTorF(X)
| ( X != iminus5
& X != iplus5 ) )
& ( X = iminus5
| X = iplus5
| ~ cTorF(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_12_2,plain,
! [U_28] :
( ( cTorF(U_28)
| ( U_28 != iminus5
& U_28 != iplus5 ) )
& ( U_28 = iminus5
| U_28 = iplus5
| ~ cTorF(U_28) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_30] :
( cTorF(U_30)
| ( U_30 != iminus5
& U_30 != iplus5 ) )
& ! [U_29] :
( U_29 = iminus5
| U_29 = iplus5
| ~ cTorF(U_29) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_30] :
( U_30 != iminus5
| ~ sP4(U_30) )
& ! [U_30] :
( U_30 != iplus5
| ~ sP4(U_30) )
& ! [U_30] :
( cTorF(U_30)
| sP4(U_30) )
& ! [U_29] :
( U_29 = iminus5
| U_29 = iplus5
| ~ cTorF(U_29) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP4])],[f_12_3]) ).
cnf(f_12_5,plain,
( U_29 = iminus5
| U_29 = iplus5
| ~ cTorF(U_29) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_6,plain,
( cTorF(U_30)
| sP4(U_30) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_7,plain,
( U_30 != iplus5
| ~ sP4(U_30) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_8,plain,
( U_30 != iminus5
| ~ sP4(U_30) ),
inference(clausify,[status(thm)],[f_12_4]) ).
fof(f_13_1,plain,
! [X] :
( ( cTorF(X)
| ( X != iminus3
& X != iplus3 ) )
& ( X = iminus3
| X = iplus3
| ~ cTorF(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_13_2,plain,
! [U_31] :
( ( cTorF(U_31)
| ( U_31 != iminus3
& U_31 != iplus3 ) )
& ( U_31 = iminus3
| U_31 = iplus3
| ~ cTorF(U_31) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_33] :
( cTorF(U_33)
| ( U_33 != iminus3
& U_33 != iplus3 ) )
& ! [U_32] :
( U_32 = iminus3
| U_32 = iplus3
| ~ cTorF(U_32) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
fof(f_13_4,plain,
( ! [U_33] :
( U_33 != iminus3
| ~ sP5(U_33) )
& ! [U_33] :
( U_33 != iplus3
| ~ sP5(U_33) )
& ! [U_33] :
( cTorF(U_33)
| sP5(U_33) )
& ! [U_32] :
( U_32 = iminus3
| U_32 = iplus3
| ~ cTorF(U_32) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP5])],[f_13_3]) ).
cnf(f_13_5,plain,
( U_32 = iminus3
| U_32 = iplus3
| ~ cTorF(U_32) ),
inference(clausify,[status(thm)],[f_13_4]) ).
cnf(f_13_6,plain,
( cTorF(U_33)
| sP5(U_33) ),
inference(clausify,[status(thm)],[f_13_4]) ).
cnf(f_13_7,plain,
( U_33 != iplus3
| ~ sP5(U_33) ),
inference(clausify,[status(thm)],[f_13_4]) ).
cnf(f_13_8,plain,
( U_33 != iminus3
| ~ sP5(U_33) ),
inference(clausify,[status(thm)],[f_13_4]) ).
fof(f_14_1,plain,
! [X] :
( ( cTorF(X)
| ( X != iF
& X != iT ) )
& ( X = iF
| X = iT
| ~ cTorF(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_14_2,plain,
! [U_34] :
( ( cTorF(U_34)
| ( U_34 != iF
& U_34 != iT ) )
& ( U_34 = iF
| U_34 = iT
| ~ cTorF(U_34) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_36] :
( cTorF(U_36)
| ( U_36 != iF
& U_36 != iT ) )
& ! [U_35] :
( U_35 = iF
| U_35 = iT
| ~ cTorF(U_35) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
fof(f_14_4,plain,
( ! [U_36] :
( U_36 != iF
| ~ sP6(U_36) )
& ! [U_36] :
( U_36 != iT
| ~ sP6(U_36) )
& ! [U_36] :
( cTorF(U_36)
| sP6(U_36) )
& ! [U_35] :
( U_35 = iF
| U_35 = iT
| ~ cTorF(U_35) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP6])],[f_14_3]) ).
cnf(f_14_5,plain,
( U_35 = iF
| U_35 = iT
| ~ cTorF(U_35) ),
inference(clausify,[status(thm)],[f_14_4]) ).
cnf(f_14_6,plain,
( cTorF(U_36)
| sP6(U_36) ),
inference(clausify,[status(thm)],[f_14_4]) ).
cnf(f_14_7,plain,
( U_36 != iT
| ~ sP6(U_36) ),
inference(clausify,[status(thm)],[f_14_4]) ).
cnf(f_14_8,plain,
( U_36 != iF
| ~ sP6(U_36) ),
inference(clausify,[status(thm)],[f_14_4]) ).
fof(f_15_1,plain,
! [X] :
( ( cTorF(X)
| ( X != iminus8
& X != iplus8 ) )
& ( X = iminus8
| X = iplus8
| ~ cTorF(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_15_2,plain,
! [U_37] :
( ( cTorF(U_37)
| ( U_37 != iminus8
& U_37 != iplus8 ) )
& ( U_37 = iminus8
| U_37 = iplus8
| ~ cTorF(U_37) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_39] :
( cTorF(U_39)
| ( U_39 != iminus8
& U_39 != iplus8 ) )
& ! [U_38] :
( U_38 = iminus8
| U_38 = iplus8
| ~ cTorF(U_38) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_39] :
( U_39 != iminus8
| ~ sP7(U_39) )
& ! [U_39] :
( U_39 != iplus8
| ~ sP7(U_39) )
& ! [U_39] :
( cTorF(U_39)
| sP7(U_39) )
& ! [U_38] :
( U_38 = iminus8
| U_38 = iplus8
| ~ cTorF(U_38) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP7])],[f_15_3]) ).
cnf(f_15_5,plain,
( U_38 = iminus8
| U_38 = iplus8
| ~ cTorF(U_38) ),
inference(clausify,[status(thm)],[f_15_4]) ).
cnf(f_15_6,plain,
( cTorF(U_39)
| sP7(U_39) ),
inference(clausify,[status(thm)],[f_15_4]) ).
cnf(f_15_7,plain,
( U_39 != iplus8
| ~ sP7(U_39) ),
inference(clausify,[status(thm)],[f_15_4]) ).
cnf(f_15_8,plain,
( U_39 != iminus8
| ~ sP7(U_39) ),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_16_1,plain,
! [X] :
( ( cTorF(X)
| ( X != iplus6
& X != iminus6 ) )
& ( X = iplus6
| X = iminus6
| ~ cTorF(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_16_2,plain,
! [U_40] :
( ( cTorF(U_40)
| ( U_40 != iplus6
& U_40 != iminus6 ) )
& ( U_40 = iplus6
| U_40 = iminus6
| ~ cTorF(U_40) ) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( ! [U_42] :
( cTorF(U_42)
| ( U_42 != iplus6
& U_42 != iminus6 ) )
& ! [U_41] :
( U_41 = iplus6
| U_41 = iminus6
| ~ cTorF(U_41) ) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
( ! [U_42] :
( U_42 != iplus6
| ~ sP8(U_42) )
& ! [U_42] :
( U_42 != iminus6
| ~ sP8(U_42) )
& ! [U_42] :
( cTorF(U_42)
| sP8(U_42) )
& ! [U_41] :
( U_41 = iplus6
| U_41 = iminus6
| ~ cTorF(U_41) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP8])],[f_16_3]) ).
cnf(f_16_5,plain,
( U_41 = iplus6
| U_41 = iminus6
| ~ cTorF(U_41) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_6,plain,
( cTorF(U_42)
| sP8(U_42) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_7,plain,
( U_42 != iminus6
| ~ sP8(U_42) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_8,plain,
( U_42 != iplus6
| ~ sP8(U_42) ),
inference(clausify,[status(thm)],[f_16_4]) ).
fof(f_17_1,plain,
! [X] :
( ( cTorF(X)
| ( X != iplus9
& X != iminus9 ) )
& ( X = iplus9
| X = iminus9
| ~ cTorF(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_17_2,plain,
! [U_43] :
( ( cTorF(U_43)
| ( U_43 != iplus9
& U_43 != iminus9 ) )
& ( U_43 = iplus9
| U_43 = iminus9
| ~ cTorF(U_43) ) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ! [U_45] :
( cTorF(U_45)
| ( U_45 != iplus9
& U_45 != iminus9 ) )
& ! [U_44] :
( U_44 = iplus9
| U_44 = iminus9
| ~ cTorF(U_44) ) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
fof(f_17_4,plain,
( ! [U_45] :
( U_45 != iplus9
| ~ sP9(U_45) )
& ! [U_45] :
( U_45 != iminus9
| ~ sP9(U_45) )
& ! [U_45] :
( cTorF(U_45)
| sP9(U_45) )
& ! [U_44] :
( U_44 = iplus9
| U_44 = iminus9
| ~ cTorF(U_44) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP9])],[f_17_3]) ).
cnf(f_17_5,plain,
( U_44 = iplus9
| U_44 = iminus9
| ~ cTorF(U_44) ),
inference(clausify,[status(thm)],[f_17_4]) ).
cnf(f_17_6,plain,
( cTorF(U_45)
| sP9(U_45) ),
inference(clausify,[status(thm)],[f_17_4]) ).
cnf(f_17_7,plain,
( U_45 != iminus9
| ~ sP9(U_45) ),
inference(clausify,[status(thm)],[f_17_4]) ).
cnf(f_17_8,plain,
( U_45 != iplus9
| ~ sP9(U_45) ),
inference(clausify,[status(thm)],[f_17_4]) ).
fof(f_18_1,plain,
cowlThing(iF),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_18_2,plain,
cowlThing(iF),
inference(definitional_conversion,[status(esa)],[f_18_1]) ).
cnf(f_18_3,plain,
cowlThing(iF),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
( iT = iplus1
| iT = iplus2
| iT = iminus6 ),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
fof(f_19_2,plain,
( iT = iplus1
| iT = iplus2
| iT = iminus6 ),
inference(definitional_conversion,[status(esa)],[f_19_1]) ).
cnf(f_19_3,plain,
( iT = iplus1
| iT = iplus2
| iT = iminus6 ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_1,plain,
( iT = iminus7
| iT = iplus9
| iT = iminus6 ),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
fof(f_20_2,plain,
( iT = iminus7
| iT = iplus9
| iT = iminus6 ),
inference(definitional_conversion,[status(esa)],[f_20_1]) ).
cnf(f_20_3,plain,
( iT = iminus7
| iT = iplus9
| iT = iminus6 ),
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
( iT = iplus7
| iT = iminus3
| iT = iplus8 ),
inference(fof_nnf,[status(thm)],[axiom_15]) ).
fof(f_21_2,plain,
( iT = iplus7
| iT = iminus3
| iT = iplus8 ),
inference(definitional_conversion,[status(esa)],[f_21_1]) ).
cnf(f_21_3,plain,
( iT = iplus7
| iT = iminus3
| iT = iplus8 ),
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_22_1,plain,
( iT = iminus7
| iT = iplus9
| iT = iplus5 ),
inference(fof_nnf,[status(thm)],[axiom_16]) ).
fof(f_22_2,plain,
( iT = iminus7
| iT = iplus9
| iT = iplus5 ),
inference(definitional_conversion,[status(esa)],[f_22_1]) ).
cnf(f_22_3,plain,
( iT = iminus7
| iT = iplus9
| iT = iplus5 ),
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
( iT = iplus9
| iT = iplus1
| iT = iminus6 ),
inference(fof_nnf,[status(thm)],[axiom_17]) ).
fof(f_23_2,plain,
( iT = iplus9
| iT = iplus1
| iT = iminus6 ),
inference(definitional_conversion,[status(esa)],[f_23_1]) ).
cnf(f_23_3,plain,
( iT = iplus9
| iT = iplus1
| iT = iminus6 ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
( iT = iplus4
| iT = iminus9
| iT = iplus3 ),
inference(fof_nnf,[status(thm)],[axiom_18]) ).
fof(f_24_2,plain,
( iT = iplus4
| iT = iminus9
| iT = iplus3 ),
inference(definitional_conversion,[status(esa)],[f_24_1]) ).
cnf(f_24_3,plain,
( iT = iplus4
| iT = iminus9
| iT = iplus3 ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
( iT = iplus1
| iT = iminus6
| iT = iminus9 ),
inference(fof_nnf,[status(thm)],[axiom_19]) ).
fof(f_25_2,plain,
( iT = iplus1
| iT = iminus6
| iT = iminus9 ),
inference(definitional_conversion,[status(esa)],[f_25_1]) ).
cnf(f_25_3,plain,
( iT = iplus1
| iT = iminus6
| iT = iminus9 ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
cowlThing(iT),
inference(fof_nnf,[status(thm)],[axiom_20]) ).
fof(f_26_2,plain,
cowlThing(iT),
inference(definitional_conversion,[status(esa)],[f_26_1]) ).
cnf(f_26_3,plain,
cowlThing(iT),
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_1,plain,
( iT = iplus9
| iT = iminus4
| iT = iminus8 ),
inference(fof_nnf,[status(thm)],[axiom_21]) ).
fof(f_27_2,plain,
( iT = iplus9
| iT = iminus4
| iT = iminus8 ),
inference(definitional_conversion,[status(esa)],[f_27_1]) ).
cnf(f_27_3,plain,
( iT = iplus9
| iT = iminus4
| iT = iminus8 ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,plain,
( iT = iplus4
| iT = iplus6
| iT = iplus3 ),
inference(fof_nnf,[status(thm)],[axiom_22]) ).
fof(f_28_2,plain,
( iT = iplus4
| iT = iplus6
| iT = iplus3 ),
inference(definitional_conversion,[status(esa)],[f_28_1]) ).
cnf(f_28_3,plain,
( iT = iplus4
| iT = iplus6
| iT = iplus3 ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_1,plain,
( iT = iplus4
| iT = iplus7
| iT = iplus1 ),
inference(fof_nnf,[status(thm)],[axiom_23]) ).
fof(f_29_2,plain,
( iT = iplus4
| iT = iplus7
| iT = iplus1 ),
inference(definitional_conversion,[status(esa)],[f_29_1]) ).
cnf(f_29_3,plain,
( iT = iplus4
| iT = iplus7
| iT = iplus1 ),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_1,plain,
( iT = iminus2
| iT = iminus8
| iT = iplus3 ),
inference(fof_nnf,[status(thm)],[axiom_24]) ).
fof(f_30_2,plain,
( iT = iminus2
| iT = iminus8
| iT = iplus3 ),
inference(definitional_conversion,[status(esa)],[f_30_1]) ).
cnf(f_30_3,plain,
( iT = iminus2
| iT = iminus8
| iT = iplus3 ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
( iT = iplus4
| iT = iplus6
| iT = iminus8 ),
inference(fof_nnf,[status(thm)],[axiom_25]) ).
fof(f_31_2,plain,
( iT = iplus4
| iT = iplus6
| iT = iminus8 ),
inference(definitional_conversion,[status(esa)],[f_31_1]) ).
cnf(f_31_3,plain,
( iT = iplus4
| iT = iplus6
| iT = iminus8 ),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
( iT = iminus2
| iT = iminus9
| iT = iplus3 ),
inference(fof_nnf,[status(thm)],[axiom_26]) ).
fof(f_32_2,plain,
( iT = iminus2
| iT = iminus9
| iT = iplus3 ),
inference(definitional_conversion,[status(esa)],[f_32_1]) ).
cnf(f_32_3,plain,
( iT = iminus2
| iT = iminus9
| iT = iplus3 ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
( iT = iminus7
| iT = iminus2
| iT = iplus6 ),
inference(fof_nnf,[status(thm)],[axiom_27]) ).
fof(f_33_2,plain,
( iT = iminus7
| iT = iminus2
| iT = iplus6 ),
inference(definitional_conversion,[status(esa)],[f_33_1]) ).
cnf(f_33_3,plain,
( iT = iminus7
| iT = iminus2
| iT = iplus6 ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
( iT = iminus3
| iT = iminus4
| iT = iplus6 ),
inference(fof_nnf,[status(thm)],[axiom_28]) ).
fof(f_34_2,plain,
( iT = iminus3
| iT = iminus4
| iT = iplus6 ),
inference(definitional_conversion,[status(esa)],[f_34_1]) ).
cnf(f_34_3,plain,
( iT = iminus3
| iT = iminus4
| iT = iplus6 ),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
( iT = iminus4
| iT = iplus1
| iT = iminus6 ),
inference(fof_nnf,[status(thm)],[axiom_29]) ).
fof(f_35_2,plain,
( iT = iminus4
| iT = iplus1
| iT = iminus6 ),
inference(definitional_conversion,[status(esa)],[f_35_1]) ).
cnf(f_35_3,plain,
( iT = iminus4
| iT = iplus1
| iT = iminus6 ),
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_1,plain,
( iT = iplus9
| iT = iminus4
| iT = iplus1 ),
inference(fof_nnf,[status(thm)],[axiom_30]) ).
fof(f_36_2,plain,
( iT = iplus9
| iT = iminus4
| iT = iplus1 ),
inference(definitional_conversion,[status(esa)],[f_36_1]) ).
cnf(f_36_3,plain,
( iT = iplus9
| iT = iminus4
| iT = iplus1 ),
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,plain,
( iT = iminus4
| iT = iplus2
| iT = iplus8 ),
inference(fof_nnf,[status(thm)],[axiom_31]) ).
fof(f_37_2,plain,
( iT = iminus4
| iT = iplus2
| iT = iplus8 ),
inference(definitional_conversion,[status(esa)],[f_37_1]) ).
cnf(f_37_3,plain,
( iT = iminus4
| iT = iplus2
| iT = iplus8 ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
( iT = iplus9
| iT = iminus4
| iT = iplus5 ),
inference(fof_nnf,[status(thm)],[axiom_32]) ).
fof(f_38_2,plain,
( iT = iplus9
| iT = iminus4
| iT = iplus5 ),
inference(definitional_conversion,[status(esa)],[f_38_1]) ).
cnf(f_38_3,plain,
( iT = iplus9
| iT = iminus4
| iT = iplus5 ),
inference(clausify,[status(thm)],[f_38_2]) ).
fof(f_39_1,plain,
( iT = iplus4
| iT = iplus6
| iT = iminus5 ),
inference(fof_nnf,[status(thm)],[axiom_33]) ).
fof(f_39_2,plain,
( iT = iplus4
| iT = iplus6
| iT = iminus5 ),
inference(definitional_conversion,[status(esa)],[f_39_1]) ).
cnf(f_39_3,plain,
( iT = iplus4
| iT = iplus6
| iT = iminus5 ),
inference(clausify,[status(thm)],[f_39_2]) ).
fof(f_40_1,plain,
( iT = iplus7
| iT = iminus5
| iT = iplus8 ),
inference(fof_nnf,[status(thm)],[axiom_34]) ).
fof(f_40_2,plain,
( iT = iplus7
| iT = iminus5
| iT = iplus8 ),
inference(definitional_conversion,[status(esa)],[f_40_1]) ).
cnf(f_40_3,plain,
( iT = iplus7
| iT = iminus5
| iT = iplus8 ),
inference(clausify,[status(thm)],[f_40_2]) ).
fof(f_41_1,plain,
( iT = iminus2
| iT = iminus9
| iT = iminus5 ),
inference(fof_nnf,[status(thm)],[axiom_35]) ).
fof(f_41_2,plain,
( iT = iminus2
| iT = iminus9
| iT = iminus5 ),
inference(definitional_conversion,[status(esa)],[f_41_1]) ).
cnf(f_41_3,plain,
( iT = iminus2
| iT = iminus9
| iT = iminus5 ),
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_42_1,plain,
( iT = iminus7
| iT = iminus3
| iT = iminus4 ),
inference(fof_nnf,[status(thm)],[axiom_36]) ).
fof(f_42_2,plain,
( iT = iminus7
| iT = iminus3
| iT = iminus4 ),
inference(definitional_conversion,[status(esa)],[f_42_1]) ).
cnf(f_42_3,plain,
( iT = iminus7
| iT = iminus3
| iT = iminus4 ),
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,plain,
( iT = iminus1
| iT = iplus4
| iT = iplus2 ),
inference(fof_nnf,[status(thm)],[axiom_37]) ).
fof(f_43_2,plain,
( iT = iminus1
| iT = iplus4
| iT = iplus2 ),
inference(definitional_conversion,[status(esa)],[f_43_1]) ).
cnf(f_43_3,plain,
( iT = iminus1
| iT = iplus4
| iT = iplus2 ),
inference(clausify,[status(thm)],[f_43_2]) ).
fof(f_44_1,plain,
( iT = iminus3
| iT = iplus1
| iT = iminus2 ),
inference(fof_nnf,[status(thm)],[axiom_38]) ).
fof(f_44_2,plain,
( iT = iminus3
| iT = iplus1
| iT = iminus2 ),
inference(definitional_conversion,[status(esa)],[f_44_1]) ).
cnf(f_44_3,plain,
( iT = iminus3
| iT = iplus1
| iT = iminus2 ),
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_45_1,plain,
( iT = iminus4
| iT = iplus6
| iT = iplus3 ),
inference(fof_nnf,[status(thm)],[axiom_39]) ).
fof(f_45_2,plain,
( iT = iminus4
| iT = iplus6
| iT = iplus3 ),
inference(definitional_conversion,[status(esa)],[f_45_1]) ).
cnf(f_45_3,plain,
( iT = iminus4
| iT = iplus6
| iT = iplus3 ),
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,plain,
( iT = iminus4
| iT = iminus9
| iT = iminus8 ),
inference(fof_nnf,[status(thm)],[axiom_40]) ).
fof(f_46_2,plain,
( iT = iminus4
| iT = iminus9
| iT = iminus8 ),
inference(definitional_conversion,[status(esa)],[f_46_1]) ).
cnf(f_46_3,plain,
( iT = iminus4
| iT = iminus9
| iT = iminus8 ),
inference(clausify,[status(thm)],[f_46_2]) ).
fof(f_47_1,plain,
( iT = iplus4
| iT = iplus1
| iT = iplus3 ),
inference(fof_nnf,[status(thm)],[axiom_41]) ).
fof(f_47_2,plain,
( iT = iplus4
| iT = iplus1
| iT = iplus3 ),
inference(definitional_conversion,[status(esa)],[f_47_1]) ).
cnf(f_47_3,plain,
( iT = iplus4
| iT = iplus1
| iT = iplus3 ),
inference(clausify,[status(thm)],[f_47_2]) ).
fof(f_48_1,plain,
( iT = iminus3
| iT = iplus2
| iT = iplus8 ),
inference(fof_nnf,[status(thm)],[axiom_42]) ).
fof(f_48_2,plain,
( iT = iminus3
| iT = iplus2
| iT = iplus8 ),
inference(definitional_conversion,[status(esa)],[f_48_1]) ).
cnf(f_48_3,plain,
( iT = iminus3
| iT = iplus2
| iT = iplus8 ),
inference(clausify,[status(thm)],[f_48_2]) ).
fof(f_49_1,plain,
( iT = iplus9
| iT = iminus8
| iT = iplus3 ),
inference(fof_nnf,[status(thm)],[axiom_43]) ).
fof(f_49_2,plain,
( iT = iplus9
| iT = iminus8
| iT = iplus3 ),
inference(definitional_conversion,[status(esa)],[f_49_1]) ).
cnf(f_49_3,plain,
( iT = iplus9
| iT = iminus8
| iT = iplus3 ),
inference(clausify,[status(thm)],[f_49_2]) ).
fof(f_50_1,plain,
( iT = iminus7
| iT = iplus3
| iT = iplus8 ),
inference(fof_nnf,[status(thm)],[axiom_44]) ).
fof(f_50_2,plain,
( iT = iminus7
| iT = iplus3
| iT = iplus8 ),
inference(definitional_conversion,[status(esa)],[f_50_1]) ).
cnf(f_50_3,plain,
( iT = iminus7
| iT = iplus3
| iT = iplus8 ),
inference(clausify,[status(thm)],[f_50_2]) ).
fof(f_51_1,plain,
( iT = iminus3
| iT = iminus8
| iT = iminus5 ),
inference(fof_nnf,[status(thm)],[axiom_45]) ).
fof(f_51_2,plain,
( iT = iminus3
| iT = iminus8
| iT = iminus5 ),
inference(definitional_conversion,[status(esa)],[f_51_1]) ).
cnf(f_51_3,plain,
( iT = iminus3
| iT = iminus8
| iT = iminus5 ),
inference(clausify,[status(thm)],[f_51_2]) ).
fof(f_52_1,plain,
( iT = iplus4
| iT = iplus9
| iT = iplus3 ),
inference(fof_nnf,[status(thm)],[axiom_46]) ).
fof(f_52_2,plain,
( iT = iplus4
| iT = iplus9
| iT = iplus3 ),
inference(definitional_conversion,[status(esa)],[f_52_1]) ).
cnf(f_52_3,plain,
( iT = iplus4
| iT = iplus9
| iT = iplus3 ),
inference(clausify,[status(thm)],[f_52_2]) ).
fof(f_53_1,plain,
( iT = iminus7
| iT = iplus6
| iT = iminus8 ),
inference(fof_nnf,[status(thm)],[axiom_47]) ).
fof(f_53_2,plain,
( iT = iminus7
| iT = iplus6
| iT = iminus8 ),
inference(definitional_conversion,[status(esa)],[f_53_1]) ).
cnf(f_53_3,plain,
( iT = iminus7
| iT = iplus6
| iT = iminus8 ),
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
( iT = iplus7
| iT = iminus2
| iT = iminus9 ),
inference(fof_nnf,[status(thm)],[axiom_48]) ).
fof(f_54_2,plain,
( iT = iplus7
| iT = iminus2
| iT = iminus9 ),
inference(definitional_conversion,[status(esa)],[f_54_1]) ).
cnf(f_54_3,plain,
( iT = iplus7
| iT = iminus2
| iT = iminus9 ),
inference(clausify,[status(thm)],[f_54_2]) ).
fof(f_55_1,plain,
( iT = iminus3
| iT = iminus8
| iT = iplus5 ),
inference(fof_nnf,[status(thm)],[axiom_49]) ).
fof(f_55_2,plain,
( iT = iminus3
| iT = iminus8
| iT = iplus5 ),
inference(definitional_conversion,[status(esa)],[f_55_1]) ).
cnf(f_55_3,plain,
( iT = iminus3
| iT = iminus8
| iT = iplus5 ),
inference(clausify,[status(thm)],[f_55_2]) ).
fof(f_56_1,plain,
( iT = iminus7
| iT = iplus2
| iT = iminus5 ),
inference(fof_nnf,[status(thm)],[axiom_50]) ).
fof(f_56_2,plain,
( iT = iminus7
| iT = iplus2
| iT = iminus5 ),
inference(definitional_conversion,[status(esa)],[f_56_1]) ).
cnf(f_56_3,plain,
( iT = iminus7
| iT = iplus2
| iT = iminus5 ),
inference(clausify,[status(thm)],[f_56_2]) ).
fof(f_57_1,plain,
( iT = iplus9
| iT = iminus2
| iT = iplus6 ),
inference(fof_nnf,[status(thm)],[axiom_51]) ).
fof(f_57_2,plain,
( iT = iplus9
| iT = iminus2
| iT = iplus6 ),
inference(definitional_conversion,[status(esa)],[f_57_1]) ).
cnf(f_57_3,plain,
( iT = iplus9
| iT = iminus2
| iT = iplus6 ),
inference(clausify,[status(thm)],[f_57_2]) ).
fof(f_58_1,plain,
( iT = iminus4
| iT = iplus1
| iT = iplus2 ),
inference(fof_nnf,[status(thm)],[axiom_52]) ).
fof(f_58_2,plain,
( iT = iminus4
| iT = iplus1
| iT = iplus2 ),
inference(definitional_conversion,[status(esa)],[f_58_1]) ).
cnf(f_58_3,plain,
( iT = iminus4
| iT = iplus1
| iT = iplus2 ),
inference(clausify,[status(thm)],[f_58_2]) ).
fof(f_59_1,plain,
( iT = iminus1
| iT = iminus4
| iT = iplus6 ),
inference(fof_nnf,[status(thm)],[axiom_53]) ).
fof(f_59_2,plain,
( iT = iminus1
| iT = iminus4
| iT = iplus6 ),
inference(definitional_conversion,[status(esa)],[f_59_1]) ).
cnf(f_59_3,plain,
( iT = iminus1
| iT = iminus4
| iT = iplus6 ),
inference(clausify,[status(thm)],[f_59_2]) ).
fof(f_60_1,plain,
( iT = iminus9
| iT = iplus3
| iT = iminus5 ),
inference(fof_nnf,[status(thm)],[axiom_54]) ).
fof(f_60_2,plain,
( iT = iminus9
| iT = iplus3
| iT = iminus5 ),
inference(definitional_conversion,[status(esa)],[f_60_1]) ).
cnf(f_60_3,plain,
( iT = iminus9
| iT = iplus3
| iT = iminus5 ),
inference(clausify,[status(thm)],[f_60_2]) ).
fof(f_61_1,plain,
( iT = iplus9
| iT = iplus2
| iT = iplus5 ),
inference(fof_nnf,[status(thm)],[axiom_55]) ).
fof(f_61_2,plain,
( iT = iplus9
| iT = iplus2
| iT = iplus5 ),
inference(definitional_conversion,[status(esa)],[f_61_1]) ).
cnf(f_61_3,plain,
( iT = iplus9
| iT = iplus2
| iT = iplus5 ),
inference(clausify,[status(thm)],[f_61_2]) ).
fof(f_62_1,plain,
( iT = iplus4
| iT = iminus2
| iT = iminus6 ),
inference(fof_nnf,[status(thm)],[axiom_56]) ).
fof(f_62_2,plain,
( iT = iplus4
| iT = iminus2
| iT = iminus6 ),
inference(definitional_conversion,[status(esa)],[f_62_1]) ).
cnf(f_62_3,plain,
( iT = iplus4
| iT = iminus2
| iT = iminus6 ),
inference(clausify,[status(thm)],[f_62_2]) ).
fof(f_63_1,plain,
( iT = iminus4
| iT = iplus6
| iT = iplus8 ),
inference(fof_nnf,[status(thm)],[axiom_57]) ).
fof(f_63_2,plain,
( iT = iminus4
| iT = iplus6
| iT = iplus8 ),
inference(definitional_conversion,[status(esa)],[f_63_1]) ).
cnf(f_63_3,plain,
( iT = iminus4
| iT = iplus6
| iT = iplus8 ),
inference(clausify,[status(thm)],[f_63_2]) ).
fof(f_64_1,plain,
( iT = iplus9
| iT = iplus7
| iT = iminus4 ),
inference(fof_nnf,[status(thm)],[axiom_58]) ).
fof(f_64_2,plain,
( iT = iplus9
| iT = iplus7
| iT = iminus4 ),
inference(definitional_conversion,[status(esa)],[f_64_1]) ).
cnf(f_64_3,plain,
( iT = iplus9
| iT = iplus7
| iT = iminus4 ),
inference(clausify,[status(thm)],[f_64_2]) ).
fof(f_65_1,plain,
cowlThing(iminus1),
inference(fof_nnf,[status(thm)],[axiom_59]) ).
fof(f_65_2,plain,
cowlThing(iminus1),
inference(definitional_conversion,[status(esa)],[f_65_1]) ).
cnf(f_65_3,plain,
cowlThing(iminus1),
inference(clausify,[status(thm)],[f_65_2]) ).
fof(f_66_1,plain,
cowlThing(iminus2),
inference(fof_nnf,[status(thm)],[axiom_60]) ).
fof(f_66_2,plain,
cowlThing(iminus2),
inference(definitional_conversion,[status(esa)],[f_66_1]) ).
cnf(f_66_3,plain,
cowlThing(iminus2),
inference(clausify,[status(thm)],[f_66_2]) ).
fof(f_67_1,plain,
cowlThing(iminus3),
inference(fof_nnf,[status(thm)],[axiom_61]) ).
fof(f_67_2,plain,
cowlThing(iminus3),
inference(definitional_conversion,[status(esa)],[f_67_1]) ).
cnf(f_67_3,plain,
cowlThing(iminus3),
inference(clausify,[status(thm)],[f_67_2]) ).
fof(f_68_1,plain,
cowlThing(iminus4),
inference(fof_nnf,[status(thm)],[axiom_62]) ).
fof(f_68_2,plain,
cowlThing(iminus4),
inference(definitional_conversion,[status(esa)],[f_68_1]) ).
cnf(f_68_3,plain,
cowlThing(iminus4),
inference(clausify,[status(thm)],[f_68_2]) ).
fof(f_69_1,plain,
cowlThing(iminus5),
inference(fof_nnf,[status(thm)],[axiom_63]) ).
fof(f_69_2,plain,
cowlThing(iminus5),
inference(definitional_conversion,[status(esa)],[f_69_1]) ).
cnf(f_69_3,plain,
cowlThing(iminus5),
inference(clausify,[status(thm)],[f_69_2]) ).
fof(f_70_1,plain,
cowlThing(iminus6),
inference(fof_nnf,[status(thm)],[axiom_64]) ).
fof(f_70_2,plain,
cowlThing(iminus6),
inference(definitional_conversion,[status(esa)],[f_70_1]) ).
cnf(f_70_3,plain,
cowlThing(iminus6),
inference(clausify,[status(thm)],[f_70_2]) ).
fof(f_71_1,plain,
cowlThing(iminus7),
inference(fof_nnf,[status(thm)],[axiom_65]) ).
fof(f_71_2,plain,
cowlThing(iminus7),
inference(definitional_conversion,[status(esa)],[f_71_1]) ).
cnf(f_71_3,plain,
cowlThing(iminus7),
inference(clausify,[status(thm)],[f_71_2]) ).
fof(f_72_1,plain,
cowlThing(iminus8),
inference(fof_nnf,[status(thm)],[axiom_66]) ).
fof(f_72_2,plain,
cowlThing(iminus8),
inference(definitional_conversion,[status(esa)],[f_72_1]) ).
cnf(f_72_3,plain,
cowlThing(iminus8),
inference(clausify,[status(thm)],[f_72_2]) ).
fof(f_73_1,plain,
cowlThing(iminus9),
inference(fof_nnf,[status(thm)],[axiom_67]) ).
fof(f_73_2,plain,
cowlThing(iminus9),
inference(definitional_conversion,[status(esa)],[f_73_1]) ).
cnf(f_73_3,plain,
cowlThing(iminus9),
inference(clausify,[status(thm)],[f_73_2]) ).
fof(f_74_1,plain,
cowlThing(iplus1),
inference(fof_nnf,[status(thm)],[axiom_68]) ).
fof(f_74_2,plain,
cowlThing(iplus1),
inference(definitional_conversion,[status(esa)],[f_74_1]) ).
cnf(f_74_3,plain,
cowlThing(iplus1),
inference(clausify,[status(thm)],[f_74_2]) ).
fof(f_75_1,plain,
cowlThing(iplus2),
inference(fof_nnf,[status(thm)],[axiom_69]) ).
fof(f_75_2,plain,
cowlThing(iplus2),
inference(definitional_conversion,[status(esa)],[f_75_1]) ).
cnf(f_75_3,plain,
cowlThing(iplus2),
inference(clausify,[status(thm)],[f_75_2]) ).
fof(f_76_1,plain,
cowlThing(iplus3),
inference(fof_nnf,[status(thm)],[axiom_70]) ).
fof(f_76_2,plain,
cowlThing(iplus3),
inference(definitional_conversion,[status(esa)],[f_76_1]) ).
cnf(f_76_3,plain,
cowlThing(iplus3),
inference(clausify,[status(thm)],[f_76_2]) ).
fof(f_77_1,plain,
cowlThing(iplus4),
inference(fof_nnf,[status(thm)],[axiom_71]) ).
fof(f_77_2,plain,
cowlThing(iplus4),
inference(definitional_conversion,[status(esa)],[f_77_1]) ).
cnf(f_77_3,plain,
cowlThing(iplus4),
inference(clausify,[status(thm)],[f_77_2]) ).
fof(f_78_1,plain,
cowlThing(iplus5),
inference(fof_nnf,[status(thm)],[axiom_72]) ).
fof(f_78_2,plain,
cowlThing(iplus5),
inference(definitional_conversion,[status(esa)],[f_78_1]) ).
cnf(f_78_3,plain,
cowlThing(iplus5),
inference(clausify,[status(thm)],[f_78_2]) ).
fof(f_79_1,plain,
cowlThing(iplus6),
inference(fof_nnf,[status(thm)],[axiom_73]) ).
fof(f_79_2,plain,
cowlThing(iplus6),
inference(definitional_conversion,[status(esa)],[f_79_1]) ).
cnf(f_79_3,plain,
cowlThing(iplus6),
inference(clausify,[status(thm)],[f_79_2]) ).
fof(f_80_1,plain,
cowlThing(iplus7),
inference(fof_nnf,[status(thm)],[axiom_74]) ).
fof(f_80_2,plain,
cowlThing(iplus7),
inference(definitional_conversion,[status(esa)],[f_80_1]) ).
cnf(f_80_3,plain,
cowlThing(iplus7),
inference(clausify,[status(thm)],[f_80_2]) ).
fof(f_81_1,plain,
cowlThing(iplus8),
inference(fof_nnf,[status(thm)],[axiom_75]) ).
fof(f_81_2,plain,
cowlThing(iplus8),
inference(definitional_conversion,[status(esa)],[f_81_1]) ).
cnf(f_81_3,plain,
cowlThing(iplus8),
inference(clausify,[status(thm)],[f_81_2]) ).
fof(f_82_1,plain,
cowlThing(iplus9),
inference(fof_nnf,[status(thm)],[axiom_76]) ).
fof(f_82_2,plain,
cowlThing(iplus9),
inference(definitional_conversion,[status(esa)],[f_82_1]) ).
cnf(f_82_3,plain,
cowlThing(iplus9),
inference(clausify,[status(thm)],[f_82_2]) ).
fof(f_83_1,plain,
iT != iF,
inference(fof_nnf,[status(thm)],[axiom_77]) ).
fof(f_83_2,plain,
iT != iF,
inference(definitional_conversion,[status(esa)],[f_83_1]) ).
cnf(f_83_3,plain,
iT != iF,
inference(clausify,[status(thm)],[f_83_2]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( cTorF(Eq_y_0)
| ~ cTorF(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_5,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_6,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_7,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_8,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_9,axiom,
( sP0(Eq_y_0)
| ~ sP0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_10,axiom,
( sP1(Eq_y_0)
| ~ sP1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( sP2(Eq_y_0)
| ~ sP2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( sP3(Eq_y_0)
| ~ sP3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( sP4(Eq_y_0)
| ~ sP4(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( sP5(Eq_y_0)
| ~ sP5(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( sP6(Eq_y_0)
| ~ sP6(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( sP7(Eq_y_0)
| ~ sP7(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( sP8(Eq_y_0)
| ~ sP8(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( sP9(Eq_y_0)
| ~ sP9(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS102+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 This is a FOF_UNS_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 12:07:40 UTC 2026
% 0.08/0.36 % CPUTime :
% 218.44/218.76 % SZS status Unsatisfiable for theBenchmark
% 218.44/218.76 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------