%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS111+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 : n009.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 08:47:18 AM UTC 2026
% Result : Unsatisfiable 6.45s 6.74s
% Output : Proof 6.45s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(cUnsatisfiable_substitution_1,axiom,
! [A,B] :
( ( cUnsatisfiable(A)
& A = B )
=> cUnsatisfiable(B) ),
file('theBenchmark.p',cUnsatisfiable_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(cp_substitution_1,axiom,
! [A,B] :
( ( cp(A)
& A = B )
=> cp(B) ),
file('theBenchmark.p',cp_substitution_1) ).
fof(cpxcomp_substitution_1,axiom,
! [A,B] :
( ( cpxcomp(A)
& A = B )
=> cpxcomp(B) ),
file('theBenchmark.p',cpxcomp_substitution_1) ).
fof(ra_Px1_substitution_1,axiom,
! [A,B,C] :
( ( ra_Px1(A,C)
& A = B )
=> ra_Px1(B,C) ),
file('theBenchmark.p',ra_Px1_substitution_1) ).
fof(ra_Px1_substitution_2,axiom,
! [A,B,C] :
( ( ra_Px1(C,A)
& A = B )
=> ra_Px1(C,B) ),
file('theBenchmark.p',ra_Px1_substitution_2) ).
fof(rf_substitution_1,axiom,
! [A,B,C] :
( ( rf(A,C)
& A = B )
=> rf(B,C) ),
file('theBenchmark.p',rf_substitution_1) ).
fof(rf_substitution_2,axiom,
! [A,B,C] :
( ( rf(C,A)
& A = B )
=> rf(C,B) ),
file('theBenchmark.p',rf_substitution_2) ).
fof(rf1_substitution_1,axiom,
! [A,B,C] :
( ( rf1(A,C)
& A = B )
=> rf1(B,C) ),
file('theBenchmark.p',rf1_substitution_1) ).
fof(rf1_substitution_2,axiom,
! [A,B,C] :
( ( rf1(C,A)
& A = B )
=> rf1(C,B) ),
file('theBenchmark.p',rf1_substitution_2) ).
fof(rinvF_substitution_1,axiom,
! [A,B,C] :
( ( rinvF(A,C)
& A = B )
=> rinvF(B,C) ),
file('theBenchmark.p',rinvF_substitution_1) ).
fof(rinvF_substitution_2,axiom,
! [A,B,C] :
( ( rinvF(C,A)
& A = B )
=> rinvF(C,B) ),
file('theBenchmark.p',rinvF_substitution_2) ).
fof(rinvF1_substitution_1,axiom,
! [A,B,C] :
( ( rinvF1(A,C)
& A = B )
=> rinvF1(B,C) ),
file('theBenchmark.p',rinvF1_substitution_1) ).
fof(rinvF1_substitution_2,axiom,
! [A,B,C] :
( ( rinvF1(C,A)
& A = B )
=> rinvF1(C,B) ),
file('theBenchmark.p',rinvF1_substitution_2) ).
fof(rinvS_substitution_1,axiom,
! [A,B,C] :
( ( rinvS(A,C)
& A = B )
=> rinvS(B,C) ),
file('theBenchmark.p',rinvS_substitution_1) ).
fof(rinvS_substitution_2,axiom,
! [A,B,C] :
( ( rinvS(C,A)
& A = B )
=> rinvS(C,B) ),
file('theBenchmark.p',rinvS_substitution_2) ).
fof(rs_substitution_1,axiom,
! [A,B,C] :
( ( rs(A,C)
& A = B )
=> rs(B,C) ),
file('theBenchmark.p',rs_substitution_1) ).
fof(rs_substitution_2,axiom,
! [A,B,C] :
( ( rs(C,A)
& A = B )
=> rs(C,B) ),
file('theBenchmark.p',rs_substitution_2) ).
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] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
& ? [Y] :
( cpxcomp(Y)
& rf1(X,Y) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X,Y,Z] :
( ( rf(X,Z)
& rf(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X,Y,Z] :
( ( rf1(X,Z)
& rf1(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X,Y] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X,Y,Z] :
( ( rs(X,Z)
& rs(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_21_15425),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('theBenchmark.p',axiom_13) ).
fof(f_1_1,plain,
! [A,B] :
( cUnsatisfiable(B)
| ~ cUnsatisfiable(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cUnsatisfiable_substitution_1]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( cUnsatisfiable(U_0)
| ~ cUnsatisfiable(U_1)
| U_1 != U_0 ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_1,U_0] :
( cUnsatisfiable(U_0)
| ~ cUnsatisfiable(U_1)
| U_1 != U_0 ),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
( cUnsatisfiable(U_0)
| ~ cUnsatisfiable(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] :
( cp(B)
| ~ cp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp_substitution_1]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( cp(U_6)
| ~ cp(U_7)
| U_7 != U_6 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_7,U_6] :
( cp(U_6)
| ~ cp(U_7)
| U_7 != U_6 ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( cp(U_6)
| ~ cp(U_7)
| U_7 != U_6 ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [A,B] :
( cpxcomp(B)
| ~ cpxcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cpxcomp_substitution_1]) ).
fof(f_5_2,plain,
! [U_9,U_8] :
( cpxcomp(U_8)
| ~ cpxcomp(U_9)
| U_9 != U_8 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_9,U_8] :
( cpxcomp(U_8)
| ~ cpxcomp(U_9)
| U_9 != U_8 ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( cpxcomp(U_8)
| ~ cpxcomp(U_9)
| U_9 != U_8 ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [A,B,C] :
( ra_Px1(B,C)
| ~ ra_Px1(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px1_substitution_1]) ).
fof(f_6_2,plain,
! [U_12,U_11,U_10] :
( ra_Px1(U_11,U_10)
| ~ ra_Px1(U_12,U_10)
| U_12 != U_11 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_12,U_10,U_11] :
( ra_Px1(U_11,U_10)
| ~ ra_Px1(U_12,U_10)
| U_12 != U_11 ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( ra_Px1(U_11,U_10)
| ~ ra_Px1(U_12,U_10)
| U_12 != U_11 ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [A,B,C] :
( ra_Px1(C,B)
| ~ ra_Px1(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px1_substitution_2]) ).
fof(f_7_2,plain,
! [U_15,U_14,U_13] :
( ra_Px1(U_13,U_14)
| ~ ra_Px1(U_13,U_15)
| U_15 != U_14 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_15,U_13,U_14] :
( ra_Px1(U_13,U_14)
| ~ ra_Px1(U_13,U_15)
| U_15 != U_14 ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( ra_Px1(U_13,U_14)
| ~ ra_Px1(U_13,U_15)
| U_15 != U_14 ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [A,B,C] :
( rf(B,C)
| ~ rf(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rf_substitution_1]) ).
fof(f_8_2,plain,
! [U_18,U_17,U_16] :
( rf(U_17,U_16)
| ~ rf(U_18,U_16)
| U_18 != U_17 ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_18,U_16,U_17] :
( rf(U_17,U_16)
| ~ rf(U_18,U_16)
| U_18 != U_17 ),
inference(definitional_conversion,[status(esa)],[f_8_2]) ).
cnf(f_8_4,plain,
( rf(U_17,U_16)
| ~ rf(U_18,U_16)
| U_18 != U_17 ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [A,B,C] :
( rf(C,B)
| ~ rf(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rf_substitution_2]) ).
fof(f_9_2,plain,
! [U_21,U_20,U_19] :
( rf(U_19,U_20)
| ~ rf(U_19,U_21)
| U_21 != U_20 ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_20,U_21,U_19] :
( rf(U_19,U_20)
| ~ rf(U_19,U_21)
| U_21 != U_20 ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( rf(U_19,U_20)
| ~ rf(U_19,U_21)
| U_21 != U_20 ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [A,B,C] :
( rf1(B,C)
| ~ rf1(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rf1_substitution_1]) ).
fof(f_10_2,plain,
! [U_24,U_23,U_22] :
( rf1(U_23,U_22)
| ~ rf1(U_24,U_22)
| U_24 != U_23 ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_24,U_23,U_22] :
( rf1(U_23,U_22)
| ~ rf1(U_24,U_22)
| U_24 != U_23 ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( rf1(U_23,U_22)
| ~ rf1(U_24,U_22)
| U_24 != U_23 ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [A,B,C] :
( rf1(C,B)
| ~ rf1(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rf1_substitution_2]) ).
fof(f_11_2,plain,
! [U_27,U_26,U_25] :
( rf1(U_25,U_26)
| ~ rf1(U_25,U_27)
| U_27 != U_26 ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_26,U_25,U_27] :
( rf1(U_25,U_26)
| ~ rf1(U_25,U_27)
| U_27 != U_26 ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( rf1(U_25,U_26)
| ~ rf1(U_25,U_27)
| U_27 != U_26 ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [A,B,C] :
( rinvF(B,C)
| ~ rinvF(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvF_substitution_1]) ).
fof(f_12_2,plain,
! [U_30,U_29,U_28] :
( rinvF(U_29,U_28)
| ~ rinvF(U_30,U_28)
| U_30 != U_29 ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_28,U_29,U_30] :
( rinvF(U_29,U_28)
| ~ rinvF(U_30,U_28)
| U_30 != U_29 ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( rinvF(U_29,U_28)
| ~ rinvF(U_30,U_28)
| U_30 != U_29 ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [A,B,C] :
( rinvF(C,B)
| ~ rinvF(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvF_substitution_2]) ).
fof(f_13_2,plain,
! [U_33,U_32,U_31] :
( rinvF(U_31,U_32)
| ~ rinvF(U_31,U_33)
| U_33 != U_32 ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_32,U_31,U_33] :
( rinvF(U_31,U_32)
| ~ rinvF(U_31,U_33)
| U_33 != U_32 ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( rinvF(U_31,U_32)
| ~ rinvF(U_31,U_33)
| U_33 != U_32 ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [A,B,C] :
( rinvF1(B,C)
| ~ rinvF1(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvF1_substitution_1]) ).
fof(f_14_2,plain,
! [U_36,U_35,U_34] :
( rinvF1(U_35,U_34)
| ~ rinvF1(U_36,U_34)
| U_36 != U_35 ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_36,U_34,U_35] :
( rinvF1(U_35,U_34)
| ~ rinvF1(U_36,U_34)
| U_36 != U_35 ),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
( rinvF1(U_35,U_34)
| ~ rinvF1(U_36,U_34)
| U_36 != U_35 ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [A,B,C] :
( rinvF1(C,B)
| ~ rinvF1(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvF1_substitution_2]) ).
fof(f_15_2,plain,
! [U_39,U_38,U_37] :
( rinvF1(U_37,U_38)
| ~ rinvF1(U_37,U_39)
| U_39 != U_38 ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_39,U_37,U_38] :
( rinvF1(U_37,U_38)
| ~ rinvF1(U_37,U_39)
| U_39 != U_38 ),
inference(definitional_conversion,[status(esa)],[f_15_2]) ).
cnf(f_15_4,plain,
( rinvF1(U_37,U_38)
| ~ rinvF1(U_37,U_39)
| U_39 != U_38 ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [A,B,C] :
( rinvS(B,C)
| ~ rinvS(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvS_substitution_1]) ).
fof(f_16_2,plain,
! [U_42,U_41,U_40] :
( rinvS(U_41,U_40)
| ~ rinvS(U_42,U_40)
| U_42 != U_41 ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_42,U_40,U_41] :
( rinvS(U_41,U_40)
| ~ rinvS(U_42,U_40)
| U_42 != U_41 ),
inference(definitional_conversion,[status(esa)],[f_16_2]) ).
cnf(f_16_4,plain,
( rinvS(U_41,U_40)
| ~ rinvS(U_42,U_40)
| U_42 != U_41 ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [A,B,C] :
( rinvS(C,B)
| ~ rinvS(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvS_substitution_2]) ).
fof(f_17_2,plain,
! [U_45,U_44,U_43] :
( rinvS(U_43,U_44)
| ~ rinvS(U_43,U_45)
| U_45 != U_44 ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_45,U_43,U_44] :
( rinvS(U_43,U_44)
| ~ rinvS(U_43,U_45)
| U_45 != U_44 ),
inference(definitional_conversion,[status(esa)],[f_17_2]) ).
cnf(f_17_4,plain,
( rinvS(U_43,U_44)
| ~ rinvS(U_43,U_45)
| U_45 != U_44 ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
! [A,B,C] :
( rs(B,C)
| ~ rs(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rs_substitution_1]) ).
fof(f_18_2,plain,
! [U_48,U_47,U_46] :
( rs(U_47,U_46)
| ~ rs(U_48,U_46)
| U_48 != U_47 ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_46,U_47,U_48] :
( rs(U_47,U_46)
| ~ rs(U_48,U_46)
| U_48 != U_47 ),
inference(definitional_conversion,[status(esa)],[f_18_2]) ).
cnf(f_18_4,plain,
( rs(U_47,U_46)
| ~ rs(U_48,U_46)
| U_48 != U_47 ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
! [A,B,C] :
( rs(C,B)
| ~ rs(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rs_substitution_2]) ).
fof(f_19_2,plain,
! [U_51,U_50,U_49] :
( rs(U_49,U_50)
| ~ rs(U_49,U_51)
| U_51 != U_50 ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_49,U_50,U_51] :
( rs(U_49,U_50)
| ~ rs(U_49,U_51)
| U_51 != U_50 ),
inference(definitional_conversion,[status(esa)],[f_19_2]) ).
cnf(f_19_4,plain,
( rs(U_49,U_50)
| ~ rs(U_49,U_51)
| U_51 != U_50 ),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_20_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_20_2,plain,
! [U_53,U_52] :
( xsd_integer(U_52)
| ~ xsd_integer(U_53)
| U_53 != U_52 ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_52,U_53] :
( xsd_integer(U_52)
| ~ xsd_integer(U_53)
| U_53 != U_52 ),
inference(definitional_conversion,[status(esa)],[f_20_2]) ).
cnf(f_20_4,plain,
( xsd_integer(U_52)
| ~ xsd_integer(U_53)
| U_53 != U_52 ),
inference(clausify,[status(thm)],[f_20_3]) ).
fof(f_21_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_21_2,plain,
! [U_55,U_54] :
( xsd_string(U_54)
| ~ xsd_string(U_55)
| U_55 != U_54 ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_55,U_54] :
( xsd_string(U_54)
| ~ xsd_string(U_55)
| U_55 != U_54 ),
inference(definitional_conversion,[status(esa)],[f_21_2]) ).
cnf(f_21_4,plain,
( xsd_string(U_54)
| ~ xsd_string(U_55)
| U_55 != U_54 ),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_22_2,plain,
! [U_56] :
( ~ cowlNothing(U_56)
& cowlThing(U_56) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
( ! [U_58] : ~ cowlNothing(U_58)
& ! [U_57] : cowlThing(U_57) ),
inference(miniscope,[status(thm)],[f_22_2]) ).
fof(f_22_4,plain,
( ! [U_58] : ~ cowlNothing(U_58)
& ! [U_57] : cowlThing(U_57) ),
inference(definitional_conversion,[status(esa)],[f_22_3]) ).
cnf(f_22_5,plain,
cowlThing(U_57),
inference(clausify,[status(thm)],[f_22_4]) ).
cnf(f_22_6,plain,
~ cowlNothing(U_58),
inference(clausify,[status(thm)],[f_22_4]) ).
fof(f_23_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_23_2,plain,
! [U_59] :
( ( xsd_string(U_59)
| xsd_integer(U_59) )
& ( ~ xsd_integer(U_59)
| ~ xsd_string(U_59) ) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
( ! [U_61] :
( xsd_string(U_61)
| xsd_integer(U_61) )
& ! [U_60] :
( ~ xsd_integer(U_60)
| ~ xsd_string(U_60) ) ),
inference(miniscope,[status(thm)],[f_23_2]) ).
fof(f_23_4,plain,
( ! [U_61] :
( xsd_string(U_61)
| xsd_integer(U_61) )
& ! [U_60] :
( ~ xsd_integer(U_60)
| ~ xsd_string(U_60) ) ),
inference(definitional_conversion,[status(esa)],[f_23_3]) ).
cnf(f_23_5,plain,
( ~ xsd_integer(U_60)
| ~ xsd_string(U_60) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_6,plain,
( xsd_string(U_61)
| xsd_integer(U_61) ),
inference(clausify,[status(thm)],[f_23_4]) ).
fof(f_24_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) )
| ! [Y] :
( ~ cpxcomp(Y)
| ~ rf1(X,Y) ) )
& ( ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
& ? [Y] :
( cpxcomp(Y)
& rf1(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_24_2,plain,
! [U_68] :
( ( cUnsatisfiable(U_68)
| ! [U_67] :
( ~ cp(U_67)
| ~ rf(U_68,U_67) )
| ! [U_66] :
( ~ cowlThing(U_66)
| ~ rs(U_68,U_66) )
| ! [U_65] :
( ~ cpxcomp(U_65)
| ~ rf1(U_68,U_65) ) )
& ( ( ? [U_64] :
( cp(U_64)
& rf(U_68,U_64) )
& ? [U_63] :
( cowlThing(U_63)
& rs(U_68,U_63) )
& ? [U_62] :
( cpxcomp(U_62)
& rf1(U_68,U_62) ) )
| ~ cUnsatisfiable(U_68) ) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
( ! [U_70] :
( cUnsatisfiable(U_70)
| ! [U_67] :
( ~ cp(U_67)
| ~ rf(U_70,U_67) )
| ! [U_66] :
( ~ cowlThing(U_66)
| ~ rs(U_70,U_66) )
| ! [U_65] :
( ~ cpxcomp(U_65)
| ~ rf1(U_70,U_65) ) )
& ! [U_69] :
( ( ? [U_64] :
( cp(U_64)
& rf(U_69,U_64) )
& ? [U_63] :
( cowlThing(U_63)
& rs(U_69,U_63) )
& ? [U_62] :
( cpxcomp(U_62)
& rf1(U_69,U_62) ) )
| ~ cUnsatisfiable(U_69) ) ),
inference(miniscope,[status(thm)],[f_24_2]) ).
fof(f_24_4,plain,
( ! [U_70] :
( cUnsatisfiable(U_70)
| ! [U_67] :
( ~ cp(U_67)
| ~ rf(U_70,U_67) )
| ! [U_66] :
( ~ cowlThing(U_66)
| ~ rs(U_70,U_66) )
| ! [U_65] :
( ~ cpxcomp(U_65)
| ~ rf1(U_70,U_65) ) )
& ! [U_69] :
( ( ? [U_64] :
( cp(U_64)
& rf(U_69,U_64) )
& ? [U_63] :
( cowlThing(U_63)
& rs(U_69,U_63) )
& cpxcomp(sK1(U_69))
& rf1(U_69,sK1(U_69)) )
| ~ cUnsatisfiable(U_69) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_62,sK1(U_69))],[f_24_3]) ).
fof(f_24_5,plain,
( ! [U_70] :
( cUnsatisfiable(U_70)
| ! [U_67] :
( ~ cp(U_67)
| ~ rf(U_70,U_67) )
| ! [U_66] :
( ~ cowlThing(U_66)
| ~ rs(U_70,U_66) )
| ! [U_65] :
( ~ cpxcomp(U_65)
| ~ rf1(U_70,U_65) ) )
& ! [U_69] :
( ( ? [U_64] :
( cp(U_64)
& rf(U_69,U_64) )
& cowlThing(sK2(U_69))
& rs(U_69,sK2(U_69))
& cpxcomp(sK1(U_69))
& rf1(U_69,sK1(U_69)) )
| ~ cUnsatisfiable(U_69) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_63,sK2(U_69))],[f_24_4]) ).
fof(f_24_6,plain,
( ! [U_70] :
( cUnsatisfiable(U_70)
| ! [U_67] :
( ~ cp(U_67)
| ~ rf(U_70,U_67) )
| ! [U_66] :
( ~ cowlThing(U_66)
| ~ rs(U_70,U_66) )
| ! [U_65] :
( ~ cpxcomp(U_65)
| ~ rf1(U_70,U_65) ) )
& ! [U_69] :
( ( cp(sK3(U_69))
& rf(U_69,sK3(U_69))
& cowlThing(sK2(U_69))
& rs(U_69,sK2(U_69))
& cpxcomp(sK1(U_69))
& rf1(U_69,sK1(U_69)) )
| ~ cUnsatisfiable(U_69) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_64,sK3(U_69))],[f_24_5]) ).
fof(f_24_7,plain,
( ! [U_69] :
( cp(sK3(U_69))
| ~ sP0(U_69) )
& ! [U_69] :
( rf(U_69,sK3(U_69))
| ~ sP0(U_69) )
& ! [U_69] :
( cowlThing(sK2(U_69))
| ~ sP0(U_69) )
& ! [U_69] :
( rs(U_69,sK2(U_69))
| ~ sP0(U_69) )
& ! [U_69] :
( cpxcomp(sK1(U_69))
| ~ sP0(U_69) )
& ! [U_69] :
( rf1(U_69,sK1(U_69))
| ~ sP0(U_69) )
& ! [U_66,U_67,U_70,U_65] :
( cUnsatisfiable(U_70)
| ~ cp(U_67)
| ~ rf(U_70,U_67)
| ~ cowlThing(U_66)
| ~ rs(U_70,U_66)
| ~ cpxcomp(U_65)
| ~ rf1(U_70,U_65) )
& ! [U_69] :
( sP0(U_69)
| ~ cUnsatisfiable(U_69) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_24_6]) ).
cnf(f_24_8,plain,
( sP0(U_69)
| ~ cUnsatisfiable(U_69) ),
inference(clausify,[status(thm)],[f_24_7]) ).
cnf(f_24_9,plain,
( cUnsatisfiable(U_70)
| ~ cp(U_67)
| ~ rf(U_70,U_67)
| ~ cowlThing(U_66)
| ~ rs(U_70,U_66)
| ~ cpxcomp(U_65)
| ~ rf1(U_70,U_65) ),
inference(clausify,[status(thm)],[f_24_7]) ).
cnf(f_24_10,plain,
( rf1(U_69,sK1(U_69))
| ~ sP0(U_69) ),
inference(clausify,[status(thm)],[f_24_7]) ).
cnf(f_24_11,plain,
( cpxcomp(sK1(U_69))
| ~ sP0(U_69) ),
inference(clausify,[status(thm)],[f_24_7]) ).
cnf(f_24_12,plain,
( rs(U_69,sK2(U_69))
| ~ sP0(U_69) ),
inference(clausify,[status(thm)],[f_24_7]) ).
cnf(f_24_13,plain,
( cowlThing(sK2(U_69))
| ~ sP0(U_69) ),
inference(clausify,[status(thm)],[f_24_7]) ).
cnf(f_24_14,plain,
( rf(U_69,sK3(U_69))
| ~ sP0(U_69) ),
inference(clausify,[status(thm)],[f_24_7]) ).
cnf(f_24_15,plain,
( cp(sK3(U_69))
| ~ sP0(U_69) ),
inference(clausify,[status(thm)],[f_24_7]) ).
fof(f_25_1,plain,
! [X] :
( ( cp(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_25_2,plain,
! [U_73] :
( ( cp(U_73)
| ? [U_72] : ra_Px1(U_73,U_72) )
& ( ! [U_71] : ~ ra_Px1(U_73,U_71)
| ~ cp(U_73) ) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
( ! [U_75] :
( cp(U_75)
| ? [U_72] : ra_Px1(U_75,U_72) )
& ! [U_74] :
( ! [U_71] : ~ ra_Px1(U_74,U_71)
| ~ cp(U_74) ) ),
inference(miniscope,[status(thm)],[f_25_2]) ).
fof(f_25_4,plain,
( ! [U_75] :
( cp(U_75)
| ra_Px1(U_75,sK4(U_75)) )
& ! [U_74] :
( ! [U_71] : ~ ra_Px1(U_74,U_71)
| ~ cp(U_74) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_72,sK4(U_75))],[f_25_3]) ).
fof(f_25_5,plain,
( ! [U_75] :
( cp(U_75)
| ra_Px1(U_75,sK4(U_75)) )
& ! [U_74,U_71] :
( ~ ra_Px1(U_74,U_71)
| ~ cp(U_74) ) ),
inference(definitional_conversion,[status(esa)],[f_25_4]) ).
cnf(f_25_6,plain,
( ~ ra_Px1(U_74,U_71)
| ~ cp(U_74) ),
inference(clausify,[status(thm)],[f_25_5]) ).
cnf(f_25_7,plain,
( cp(U_75)
| ra_Px1(U_75,sK4(U_75)) ),
inference(clausify,[status(thm)],[f_25_5]) ).
fof(f_26_1,plain,
! [X] :
( ( cpxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cpxcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_26_2,plain,
! [U_78] :
( ( cpxcomp(U_78)
| ! [U_77] : ~ ra_Px1(U_78,U_77) )
& ( ? [U_76] : ra_Px1(U_78,U_76)
| ~ cpxcomp(U_78) ) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
( ! [U_80] :
( cpxcomp(U_80)
| ! [U_77] : ~ ra_Px1(U_80,U_77) )
& ! [U_79] :
( ? [U_76] : ra_Px1(U_79,U_76)
| ~ cpxcomp(U_79) ) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
fof(f_26_4,plain,
( ! [U_80] :
( cpxcomp(U_80)
| ! [U_77] : ~ ra_Px1(U_80,U_77) )
& ! [U_79] :
( ra_Px1(U_79,sK5(U_79))
| ~ cpxcomp(U_79) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_76,sK5(U_79))],[f_26_3]) ).
fof(f_26_5,plain,
( ! [U_80,U_77] :
( cpxcomp(U_80)
| ~ ra_Px1(U_80,U_77) )
& ! [U_79] :
( ra_Px1(U_79,sK5(U_79))
| ~ cpxcomp(U_79) ) ),
inference(definitional_conversion,[status(esa)],[f_26_4]) ).
cnf(f_26_6,plain,
( ra_Px1(U_79,sK5(U_79))
| ~ cpxcomp(U_79) ),
inference(clausify,[status(thm)],[f_26_5]) ).
cnf(f_26_7,plain,
( cpxcomp(U_80)
| ~ ra_Px1(U_80,U_77) ),
inference(clausify,[status(thm)],[f_26_5]) ).
fof(f_27_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_27_2,plain,
! [U_83,U_82,U_81] :
( U_82 = U_81
| ~ rf(U_83,U_81)
| ~ rf(U_83,U_82) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
! [U_83,U_81,U_82] :
( U_82 = U_81
| ~ rf(U_83,U_81)
| ~ rf(U_83,U_82) ),
inference(definitional_conversion,[status(esa)],[f_27_2]) ).
cnf(f_27_4,plain,
( U_82 = U_81
| ~ rf(U_83,U_81)
| ~ rf(U_83,U_82) ),
inference(clausify,[status(thm)],[f_27_3]) ).
fof(f_28_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_28_2,plain,
! [U_86,U_85,U_84] :
( U_85 = U_84
| ~ rf1(U_86,U_84)
| ~ rf1(U_86,U_85) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
! [U_85,U_86,U_84] :
( U_85 = U_84
| ~ rf1(U_86,U_84)
| ~ rf1(U_86,U_85) ),
inference(definitional_conversion,[status(esa)],[f_28_2]) ).
cnf(f_28_4,plain,
( U_85 = U_84
| ~ rf1(U_86,U_84)
| ~ rf1(U_86,U_85) ),
inference(clausify,[status(thm)],[f_28_3]) ).
fof(f_29_1,plain,
! [X,Y] :
( ( rinvF(X,Y)
| ~ rf(Y,X) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_29_2,plain,
! [U_88,U_87] :
( ( rinvF(U_88,U_87)
| ~ rf(U_87,U_88) )
& ( rf(U_87,U_88)
| ~ rinvF(U_88,U_87) ) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( ! [U_92,U_90] :
( rinvF(U_92,U_90)
| ~ rf(U_90,U_92) )
& ! [U_91,U_89] :
( rf(U_89,U_91)
| ~ rinvF(U_91,U_89) ) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
fof(f_29_4,plain,
( ! [U_92,U_90] :
( rinvF(U_92,U_90)
| ~ rf(U_90,U_92) )
& ! [U_89,U_91] :
( rf(U_89,U_91)
| ~ rinvF(U_91,U_89) ) ),
inference(definitional_conversion,[status(esa)],[f_29_3]) ).
cnf(f_29_5,plain,
( rf(U_89,U_91)
| ~ rinvF(U_91,U_89) ),
inference(clausify,[status(thm)],[f_29_4]) ).
cnf(f_29_6,plain,
( rinvF(U_92,U_90)
| ~ rf(U_90,U_92) ),
inference(clausify,[status(thm)],[f_29_4]) ).
fof(f_30_1,plain,
! [X,Y] :
( ( rinvF1(X,Y)
| ~ rf1(Y,X) )
& ( rf1(Y,X)
| ~ rinvF1(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_30_2,plain,
! [U_94,U_93] :
( ( rinvF1(U_94,U_93)
| ~ rf1(U_93,U_94) )
& ( rf1(U_93,U_94)
| ~ rinvF1(U_94,U_93) ) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( ! [U_98,U_96] :
( rinvF1(U_98,U_96)
| ~ rf1(U_96,U_98) )
& ! [U_97,U_95] :
( rf1(U_95,U_97)
| ~ rinvF1(U_97,U_95) ) ),
inference(miniscope,[status(thm)],[f_30_2]) ).
fof(f_30_4,plain,
( ! [U_96,U_98] :
( rinvF1(U_98,U_96)
| ~ rf1(U_96,U_98) )
& ! [U_95,U_97] :
( rf1(U_95,U_97)
| ~ rinvF1(U_97,U_95) ) ),
inference(definitional_conversion,[status(esa)],[f_30_3]) ).
cnf(f_30_5,plain,
( rf1(U_95,U_97)
| ~ rinvF1(U_97,U_95) ),
inference(clausify,[status(thm)],[f_30_4]) ).
cnf(f_30_6,plain,
( rinvF1(U_98,U_96)
| ~ rf1(U_96,U_98) ),
inference(clausify,[status(thm)],[f_30_4]) ).
fof(f_31_1,plain,
! [X,Y] :
( ( rinvS(X,Y)
| ~ rs(Y,X) )
& ( rs(Y,X)
| ~ rinvS(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_31_2,plain,
! [U_100,U_99] :
( ( rinvS(U_100,U_99)
| ~ rs(U_99,U_100) )
& ( rs(U_99,U_100)
| ~ rinvS(U_100,U_99) ) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
( ! [U_104,U_102] :
( rinvS(U_104,U_102)
| ~ rs(U_102,U_104) )
& ! [U_103,U_101] :
( rs(U_101,U_103)
| ~ rinvS(U_103,U_101) ) ),
inference(miniscope,[status(thm)],[f_31_2]) ).
fof(f_31_4,plain,
( ! [U_102,U_104] :
( rinvS(U_104,U_102)
| ~ rs(U_102,U_104) )
& ! [U_101,U_103] :
( rs(U_101,U_103)
| ~ rinvS(U_103,U_101) ) ),
inference(definitional_conversion,[status(esa)],[f_31_3]) ).
cnf(f_31_5,plain,
( rs(U_101,U_103)
| ~ rinvS(U_103,U_101) ),
inference(clausify,[status(thm)],[f_31_4]) ).
cnf(f_31_6,plain,
( rinvS(U_104,U_102)
| ~ rs(U_102,U_104) ),
inference(clausify,[status(thm)],[f_31_4]) ).
fof(f_32_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rs(X,Z)
| ~ rs(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_32_2,plain,
! [U_107,U_106,U_105] :
( U_106 = U_105
| ~ rs(U_107,U_105)
| ~ rs(U_107,U_106) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
! [U_105,U_107,U_106] :
( U_106 = U_105
| ~ rs(U_107,U_105)
| ~ rs(U_107,U_106) ),
inference(definitional_conversion,[status(esa)],[f_32_2]) ).
cnf(f_32_4,plain,
( U_106 = U_105
| ~ rs(U_107,U_105)
| ~ rs(U_107,U_106) ),
inference(clausify,[status(thm)],[f_32_3]) ).
fof(f_33_1,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_33_2,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(definitional_conversion,[status(esa)],[f_33_1]) ).
cnf(f_33_3,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [X,Y] :
( rf(X,Y)
| ~ rs(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_34_2,plain,
! [U_109,U_108] :
( rf(U_109,U_108)
| ~ rs(U_109,U_108) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
! [U_109,U_108] :
( rf(U_109,U_108)
| ~ rs(U_109,U_108) ),
inference(definitional_conversion,[status(esa)],[f_34_2]) ).
cnf(f_34_4,plain,
( rf(U_109,U_108)
| ~ rs(U_109,U_108) ),
inference(clausify,[status(thm)],[f_34_3]) ).
fof(f_35_1,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rs(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
fof(f_35_2,plain,
! [U_111,U_110] :
( rf1(U_111,U_110)
| ~ rs(U_111,U_110) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
! [U_111,U_110] :
( rf1(U_111,U_110)
| ~ rs(U_111,U_110) ),
inference(definitional_conversion,[status(esa)],[f_35_2]) ).
cnf(f_35_4,plain,
( rf1(U_111,U_110)
| ~ rs(U_111,U_110) ),
inference(clausify,[status(thm)],[f_35_3]) ).
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,
( sK1(Eq_x_0) = sK1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( sK2(Eq_x_0) = sK2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( sK3(Eq_x_0) = sK3(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( sK4(Eq_x_0) = sK4(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( sK5(Eq_x_0) = sK5(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( cUnsatisfiable(Eq_y_0)
| ~ cUnsatisfiable(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_10,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( cp(Eq_y_0)
| ~ cp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( cpxcomp(Eq_y_0)
| ~ cpxcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( ra_Px1(Eq_y_0,Eq_y_1)
| ~ ra_Px1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( rf(Eq_y_0,Eq_y_1)
| ~ rf(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( rf1(Eq_y_0,Eq_y_1)
| ~ rf1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( rinvF(Eq_y_0,Eq_y_1)
| ~ rinvF(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( rinvF1(Eq_y_0,Eq_y_1)
| ~ rinvF1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,axiom,
( rinvS(Eq_y_0,Eq_y_1)
| ~ rinvS(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_20,axiom,
( rs(Eq_y_0,Eq_y_1)
| ~ rs(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_21,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_22,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_23,axiom,
( sP0(Eq_y_0)
| ~ sP0(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
% 0.00/0.03 % Problem : KRS111+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_UNS_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 12:12:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 6.45/6.74 % SZS status Unsatisfiable for theBenchmark
% 6.45/6.74 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------