%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS108+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 : n003.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 08:47:17 AM UTC 2026
% Result : Unsatisfiable 75.05s 75.34s
% Output : Proof 75.40s
% 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(ca_Ax14_substitution_1,axiom,
! [A,B] :
( ( ca_Ax14(A)
& A = B )
=> ca_Ax14(B) ),
file('theBenchmark.p',ca_Ax14_substitution_1) ).
fof(ca_Cx1_substitution_1,axiom,
! [A,B] :
( ( ca_Cx1(A)
& A = B )
=> ca_Cx1(B) ),
file('theBenchmark.p',ca_Cx1_substitution_1) ).
fof(ca_Cx1xcomp_substitution_1,axiom,
! [A,B] :
( ( ca_Cx1xcomp(A)
& A = B )
=> ca_Cx1xcomp(B) ),
file('theBenchmark.p',ca_Cx1xcomp_substitution_1) ).
fof(ca_Cx2_substitution_1,axiom,
! [A,B] :
( ( ca_Cx2(A)
& A = B )
=> ca_Cx2(B) ),
file('theBenchmark.p',ca_Cx2_substitution_1) ).
fof(ca_Cx2xcomp_substitution_1,axiom,
! [A,B] :
( ( ca_Cx2xcomp(A)
& A = B )
=> ca_Cx2xcomp(B) ),
file('theBenchmark.p',ca_Cx2xcomp_substitution_1) ).
fof(ca_Cx3_substitution_1,axiom,
! [A,B] :
( ( ca_Cx3(A)
& A = B )
=> ca_Cx3(B) ),
file('theBenchmark.p',ca_Cx3_substitution_1) ).
fof(ca_Cx3xcomp_substitution_1,axiom,
! [A,B] :
( ( ca_Cx3xcomp(A)
& A = B )
=> ca_Cx3xcomp(B) ),
file('theBenchmark.p',ca_Cx3xcomp_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(cp1_substitution_1,axiom,
! [A,B] :
( ( cp1(A)
& A = B )
=> cp1(B) ),
file('theBenchmark.p',cp1_substitution_1) ).
fof(cp2_substitution_1,axiom,
! [A,B] :
( ( cp2(A)
& A = B )
=> cp2(B) ),
file('theBenchmark.p',cp2_substitution_1) ).
fof(cp2xcomp_substitution_1,axiom,
! [A,B] :
( ( cp2xcomp(A)
& A = B )
=> cp2xcomp(B) ),
file('theBenchmark.p',cp2xcomp_substitution_1) ).
fof(cp3_substitution_1,axiom,
! [A,B] :
( ( cp3(A)
& A = B )
=> cp3(B) ),
file('theBenchmark.p',cp3_substitution_1) ).
fof(cp3xcomp_substitution_1,axiom,
! [A,B] :
( ( cp3xcomp(A)
& A = B )
=> cp3xcomp(B) ),
file('theBenchmark.p',cp3xcomp_substitution_1) ).
fof(cp4_substitution_1,axiom,
! [A,B] :
( ( cp4(A)
& A = B )
=> cp4(B) ),
file('theBenchmark.p',cp4_substitution_1) ).
fof(cp4xcomp_substitution_1,axiom,
! [A,B] :
( ( cp4xcomp(A)
& A = B )
=> cp4xcomp(B) ),
file('theBenchmark.p',cp4xcomp_substitution_1) ).
fof(cp5_substitution_1,axiom,
! [A,B] :
( ( cp5(A)
& A = B )
=> cp5(B) ),
file('theBenchmark.p',cp5_substitution_1) ).
fof(cp5xcomp_substitution_1,axiom,
! [A,B] :
( ( cp5xcomp(A)
& A = B )
=> cp5xcomp(B) ),
file('theBenchmark.p',cp5xcomp_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(ra_Px2_substitution_1,axiom,
! [A,B,C] :
( ( ra_Px2(A,C)
& A = B )
=> ra_Px2(B,C) ),
file('theBenchmark.p',ra_Px2_substitution_1) ).
fof(ra_Px2_substitution_2,axiom,
! [A,B,C] :
( ( ra_Px2(C,A)
& A = B )
=> ra_Px2(C,B) ),
file('theBenchmark.p',ra_Px2_substitution_2) ).
fof(ra_Px3_substitution_1,axiom,
! [A,B,C] :
( ( ra_Px3(A,C)
& A = B )
=> ra_Px3(B,C) ),
file('theBenchmark.p',ra_Px3_substitution_1) ).
fof(ra_Px3_substitution_2,axiom,
! [A,B,C] :
( ( ra_Px3(C,A)
& A = B )
=> ra_Px3(C,B) ),
file('theBenchmark.p',ra_Px3_substitution_2) ).
fof(ra_Px4_substitution_1,axiom,
! [A,B,C] :
( ( ra_Px4(A,C)
& A = B )
=> ra_Px4(B,C) ),
file('theBenchmark.p',ra_Px4_substitution_1) ).
fof(ra_Px4_substitution_2,axiom,
! [A,B,C] :
( ( ra_Px4(C,A)
& A = B )
=> ra_Px4(C,B) ),
file('theBenchmark.p',ra_Px4_substitution_2) ).
fof(ra_Px5_substitution_1,axiom,
! [A,B,C] :
( ( ra_Px5(A,C)
& A = B )
=> ra_Px5(B,C) ),
file('theBenchmark.p',ra_Px5_substitution_1) ).
fof(ra_Px5_substitution_2,axiom,
! [A,B,C] :
( ( ra_Px5(C,A)
& A = B )
=> ra_Px5(C,B) ),
file('theBenchmark.p',ra_Px5_substitution_2) ).
fof(ra_Px6_substitution_1,axiom,
! [A,B,C] :
( ( ra_Px6(A,C)
& A = B )
=> ra_Px6(B,C) ),
file('theBenchmark.p',ra_Px6_substitution_1) ).
fof(ra_Px6_substitution_2,axiom,
! [A,B,C] :
( ( ra_Px6(C,A)
& A = B )
=> ra_Px6(C,B) ),
file('theBenchmark.p',ra_Px6_substitution_2) ).
fof(ra_Px7_substitution_1,axiom,
! [A,B,C] :
( ( ra_Px7(A,C)
& A = B )
=> ra_Px7(B,C) ),
file('theBenchmark.p',ra_Px7_substitution_1) ).
fof(ra_Px7_substitution_2,axiom,
! [A,B,C] :
( ( ra_Px7(C,A)
& A = B )
=> ra_Px7(C,B) ),
file('theBenchmark.p',ra_Px7_substitution_2) ).
fof(rinvR_substitution_1,axiom,
! [A,B,C] :
( ( rinvR(A,C)
& A = B )
=> rinvR(B,C) ),
file('theBenchmark.p',rinvR_substitution_1) ).
fof(rinvR_substitution_2,axiom,
! [A,B,C] :
( ( rinvR(C,A)
& A = B )
=> rinvR(C,B) ),
file('theBenchmark.p',rinvR_substitution_2) ).
fof(rr_substitution_1,axiom,
! [A,B,C] :
( ( rr(A,C)
& A = B )
=> rr(B,C) ),
file('theBenchmark.p',rr_substitution_1) ).
fof(rr_substitution_2,axiom,
! [A,B,C] :
( ( rr(C,A)
& A = B )
=> rr(C,B) ),
file('theBenchmark.p',rr_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)
<=> ( cp2(X)
& ? [Y] :
( ca_Ax14(Y)
& rinvR(X,Y) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cp1(X)
=> ca_Cx1(X) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cp2(X)
<=> ? [Y0] : ra_Px5(X,Y0) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cp2(X)
=> ca_Cx2(X) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cp2xcomp(X)
<=> ~ ? [Y] : ra_Px5(X,Y) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cp3(X)
<=> ? [Y0] : ra_Px6(X,Y0) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( cp3(X)
=> ca_Cx3(X) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( cp3xcomp(X)
<=> ~ ? [Y] : ra_Px6(X,Y) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X] :
( cp4(X)
<=> ~ ? [Y] : ra_Px7(X,Y) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X] :
( cp4(X)
=> cp5xcomp(X) ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X] :
( cp4xcomp(X)
<=> ? [Y0] : ra_Px7(X,Y0) ),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
! [X] :
( cp5(X)
<=> ~ ? [Y] : ra_Px4(X,Y) ),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
! [X] :
( cp5xcomp(X)
<=> ? [Y0] : ra_Px4(X,Y0) ),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
! [X] :
( ca_Ax14(X)
<=> ( ! [Y0,Y1] :
( ( rr(X,Y1)
& rr(X,Y0) )
=> Y0 = Y1 )
& ? [Y] :
( cp1(Y)
& rr(X,Y) ) ) ),
file('theBenchmark.p',axiom_15) ).
fof(axiom_16,axiom,
! [X] :
( ca_Cx1(X)
<=> ( cp4xcomp(X)
& cp3xcomp(X)
& cp5xcomp(X)
& cp2xcomp(X) ) ),
file('theBenchmark.p',axiom_16) ).
fof(axiom_17,axiom,
! [X] :
( ca_Cx1(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_17) ).
fof(axiom_18,axiom,
! [X] :
( ca_Cx1xcomp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_18) ).
fof(axiom_19,axiom,
! [X] :
( ca_Cx2(X)
<=> ( cp4xcomp(X)
& cp3xcomp(X)
& cp5xcomp(X) ) ),
file('theBenchmark.p',axiom_19) ).
fof(axiom_20,axiom,
! [X] :
( ca_Cx2(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('theBenchmark.p',axiom_20) ).
fof(axiom_21,axiom,
! [X] :
( ca_Cx2xcomp(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('theBenchmark.p',axiom_21) ).
fof(axiom_22,axiom,
! [X] :
( ca_Cx3(X)
<=> ~ ? [Y] : ra_Px3(X,Y) ),
file('theBenchmark.p',axiom_22) ).
fof(axiom_23,axiom,
! [X] :
( ca_Cx3(X)
<=> ( cp4xcomp(X)
& cp5xcomp(X) ) ),
file('theBenchmark.p',axiom_23) ).
fof(axiom_24,axiom,
! [X] :
( ca_Cx3xcomp(X)
<=> ? [Y0] : ra_Px3(X,Y0) ),
file('theBenchmark.p',axiom_24) ).
fof(axiom_25,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('theBenchmark.p',axiom_25) ).
fof(axiom_26,axiom,
cUnsatisfiable(i2003_11_14_17_21_04740),
file('theBenchmark.p',axiom_26) ).
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_0,U_1] :
( 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] :
( ca_Ax14(B)
| ~ ca_Ax14(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_Ax14_substitution_1]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( ca_Ax14(U_2)
| ~ ca_Ax14(U_3)
| U_3 != U_2 ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_2,U_3] :
( ca_Ax14(U_2)
| ~ ca_Ax14(U_3)
| U_3 != U_2 ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( ca_Ax14(U_2)
| ~ ca_Ax14(U_3)
| U_3 != U_2 ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [A,B] :
( ca_Cx1(B)
| ~ ca_Cx1(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_Cx1_substitution_1]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( ca_Cx1(U_4)
| ~ ca_Cx1(U_5)
| U_5 != U_4 ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_4,U_5] :
( ca_Cx1(U_4)
| ~ ca_Cx1(U_5)
| U_5 != U_4 ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( ca_Cx1(U_4)
| ~ ca_Cx1(U_5)
| U_5 != U_4 ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [A,B] :
( ca_Cx1xcomp(B)
| ~ ca_Cx1xcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_Cx1xcomp_substitution_1]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( ca_Cx1xcomp(U_6)
| ~ ca_Cx1xcomp(U_7)
| U_7 != U_6 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_7,U_6] :
( ca_Cx1xcomp(U_6)
| ~ ca_Cx1xcomp(U_7)
| U_7 != U_6 ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( ca_Cx1xcomp(U_6)
| ~ ca_Cx1xcomp(U_7)
| U_7 != U_6 ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [A,B] :
( ca_Cx2(B)
| ~ ca_Cx2(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_Cx2_substitution_1]) ).
fof(f_5_2,plain,
! [U_9,U_8] :
( ca_Cx2(U_8)
| ~ ca_Cx2(U_9)
| U_9 != U_8 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_9,U_8] :
( ca_Cx2(U_8)
| ~ ca_Cx2(U_9)
| U_9 != U_8 ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( ca_Cx2(U_8)
| ~ ca_Cx2(U_9)
| U_9 != U_8 ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [A,B] :
( ca_Cx2xcomp(B)
| ~ ca_Cx2xcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_Cx2xcomp_substitution_1]) ).
fof(f_6_2,plain,
! [U_11,U_10] :
( ca_Cx2xcomp(U_10)
| ~ ca_Cx2xcomp(U_11)
| U_11 != U_10 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_10,U_11] :
( ca_Cx2xcomp(U_10)
| ~ ca_Cx2xcomp(U_11)
| U_11 != U_10 ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( ca_Cx2xcomp(U_10)
| ~ ca_Cx2xcomp(U_11)
| U_11 != U_10 ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [A,B] :
( ca_Cx3(B)
| ~ ca_Cx3(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_Cx3_substitution_1]) ).
fof(f_7_2,plain,
! [U_13,U_12] :
( ca_Cx3(U_12)
| ~ ca_Cx3(U_13)
| U_13 != U_12 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_13,U_12] :
( ca_Cx3(U_12)
| ~ ca_Cx3(U_13)
| U_13 != U_12 ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( ca_Cx3(U_12)
| ~ ca_Cx3(U_13)
| U_13 != U_12 ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [A,B] :
( ca_Cx3xcomp(B)
| ~ ca_Cx3xcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_Cx3xcomp_substitution_1]) ).
fof(f_8_2,plain,
! [U_15,U_14] :
( ca_Cx3xcomp(U_14)
| ~ ca_Cx3xcomp(U_15)
| U_15 != U_14 ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_14,U_15] :
( ca_Cx3xcomp(U_14)
| ~ ca_Cx3xcomp(U_15)
| U_15 != U_14 ),
inference(definitional_conversion,[status(esa)],[f_8_2]) ).
cnf(f_8_4,plain,
( ca_Cx3xcomp(U_14)
| ~ ca_Cx3xcomp(U_15)
| U_15 != U_14 ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [A,B] :
( cowlNothing(B)
| ~ cowlNothing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlNothing_substitution_1]) ).
fof(f_9_2,plain,
! [U_17,U_16] :
( cowlNothing(U_16)
| ~ cowlNothing(U_17)
| U_17 != U_16 ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_16,U_17] :
( cowlNothing(U_16)
| ~ cowlNothing(U_17)
| U_17 != U_16 ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( cowlNothing(U_16)
| ~ cowlNothing(U_17)
| U_17 != U_16 ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [A,B] :
( cowlThing(B)
| ~ cowlThing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlThing_substitution_1]) ).
fof(f_10_2,plain,
! [U_19,U_18] :
( cowlThing(U_18)
| ~ cowlThing(U_19)
| U_19 != U_18 ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_18,U_19] :
( cowlThing(U_18)
| ~ cowlThing(U_19)
| U_19 != U_18 ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( cowlThing(U_18)
| ~ cowlThing(U_19)
| U_19 != U_18 ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [A,B] :
( cp1(B)
| ~ cp1(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp1_substitution_1]) ).
fof(f_11_2,plain,
! [U_21,U_20] :
( cp1(U_20)
| ~ cp1(U_21)
| U_21 != U_20 ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_20,U_21] :
( cp1(U_20)
| ~ cp1(U_21)
| U_21 != U_20 ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( cp1(U_20)
| ~ cp1(U_21)
| U_21 != U_20 ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [A,B] :
( cp2(B)
| ~ cp2(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp2_substitution_1]) ).
fof(f_12_2,plain,
! [U_23,U_22] :
( cp2(U_22)
| ~ cp2(U_23)
| U_23 != U_22 ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_22,U_23] :
( cp2(U_22)
| ~ cp2(U_23)
| U_23 != U_22 ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( cp2(U_22)
| ~ cp2(U_23)
| U_23 != U_22 ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [A,B] :
( cp2xcomp(B)
| ~ cp2xcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp2xcomp_substitution_1]) ).
fof(f_13_2,plain,
! [U_25,U_24] :
( cp2xcomp(U_24)
| ~ cp2xcomp(U_25)
| U_25 != U_24 ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_24,U_25] :
( cp2xcomp(U_24)
| ~ cp2xcomp(U_25)
| U_25 != U_24 ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( cp2xcomp(U_24)
| ~ cp2xcomp(U_25)
| U_25 != U_24 ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [A,B] :
( cp3(B)
| ~ cp3(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp3_substitution_1]) ).
fof(f_14_2,plain,
! [U_27,U_26] :
( cp3(U_26)
| ~ cp3(U_27)
| U_27 != U_26 ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_26,U_27] :
( cp3(U_26)
| ~ cp3(U_27)
| U_27 != U_26 ),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
( cp3(U_26)
| ~ cp3(U_27)
| U_27 != U_26 ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [A,B] :
( cp3xcomp(B)
| ~ cp3xcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp3xcomp_substitution_1]) ).
fof(f_15_2,plain,
! [U_29,U_28] :
( cp3xcomp(U_28)
| ~ cp3xcomp(U_29)
| U_29 != U_28 ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_28,U_29] :
( cp3xcomp(U_28)
| ~ cp3xcomp(U_29)
| U_29 != U_28 ),
inference(definitional_conversion,[status(esa)],[f_15_2]) ).
cnf(f_15_4,plain,
( cp3xcomp(U_28)
| ~ cp3xcomp(U_29)
| U_29 != U_28 ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [A,B] :
( cp4(B)
| ~ cp4(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp4_substitution_1]) ).
fof(f_16_2,plain,
! [U_31,U_30] :
( cp4(U_30)
| ~ cp4(U_31)
| U_31 != U_30 ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_30,U_31] :
( cp4(U_30)
| ~ cp4(U_31)
| U_31 != U_30 ),
inference(definitional_conversion,[status(esa)],[f_16_2]) ).
cnf(f_16_4,plain,
( cp4(U_30)
| ~ cp4(U_31)
| U_31 != U_30 ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [A,B] :
( cp4xcomp(B)
| ~ cp4xcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp4xcomp_substitution_1]) ).
fof(f_17_2,plain,
! [U_33,U_32] :
( cp4xcomp(U_32)
| ~ cp4xcomp(U_33)
| U_33 != U_32 ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_32,U_33] :
( cp4xcomp(U_32)
| ~ cp4xcomp(U_33)
| U_33 != U_32 ),
inference(definitional_conversion,[status(esa)],[f_17_2]) ).
cnf(f_17_4,plain,
( cp4xcomp(U_32)
| ~ cp4xcomp(U_33)
| U_33 != U_32 ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
! [A,B] :
( cp5(B)
| ~ cp5(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp5_substitution_1]) ).
fof(f_18_2,plain,
! [U_35,U_34] :
( cp5(U_34)
| ~ cp5(U_35)
| U_35 != U_34 ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_35,U_34] :
( cp5(U_34)
| ~ cp5(U_35)
| U_35 != U_34 ),
inference(definitional_conversion,[status(esa)],[f_18_2]) ).
cnf(f_18_4,plain,
( cp5(U_34)
| ~ cp5(U_35)
| U_35 != U_34 ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
! [A,B] :
( cp5xcomp(B)
| ~ cp5xcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp5xcomp_substitution_1]) ).
fof(f_19_2,plain,
! [U_37,U_36] :
( cp5xcomp(U_36)
| ~ cp5xcomp(U_37)
| U_37 != U_36 ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_37,U_36] :
( cp5xcomp(U_36)
| ~ cp5xcomp(U_37)
| U_37 != U_36 ),
inference(definitional_conversion,[status(esa)],[f_19_2]) ).
cnf(f_19_4,plain,
( cp5xcomp(U_36)
| ~ cp5xcomp(U_37)
| U_37 != U_36 ),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_20_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_20_2,plain,
! [U_40,U_39,U_38] :
( ra_Px1(U_39,U_38)
| ~ ra_Px1(U_40,U_38)
| U_40 != U_39 ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_40,U_38,U_39] :
( ra_Px1(U_39,U_38)
| ~ ra_Px1(U_40,U_38)
| U_40 != U_39 ),
inference(definitional_conversion,[status(esa)],[f_20_2]) ).
cnf(f_20_4,plain,
( ra_Px1(U_39,U_38)
| ~ ra_Px1(U_40,U_38)
| U_40 != U_39 ),
inference(clausify,[status(thm)],[f_20_3]) ).
fof(f_21_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_21_2,plain,
! [U_43,U_42,U_41] :
( ra_Px1(U_41,U_42)
| ~ ra_Px1(U_41,U_43)
| U_43 != U_42 ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_43,U_41,U_42] :
( ra_Px1(U_41,U_42)
| ~ ra_Px1(U_41,U_43)
| U_43 != U_42 ),
inference(definitional_conversion,[status(esa)],[f_21_2]) ).
cnf(f_21_4,plain,
( ra_Px1(U_41,U_42)
| ~ ra_Px1(U_41,U_43)
| U_43 != U_42 ),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_1,plain,
! [A,B,C] :
( ra_Px2(B,C)
| ~ ra_Px2(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px2_substitution_1]) ).
fof(f_22_2,plain,
! [U_46,U_45,U_44] :
( ra_Px2(U_45,U_44)
| ~ ra_Px2(U_46,U_44)
| U_46 != U_45 ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
! [U_44,U_45,U_46] :
( ra_Px2(U_45,U_44)
| ~ ra_Px2(U_46,U_44)
| U_46 != U_45 ),
inference(definitional_conversion,[status(esa)],[f_22_2]) ).
cnf(f_22_4,plain,
( ra_Px2(U_45,U_44)
| ~ ra_Px2(U_46,U_44)
| U_46 != U_45 ),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_1,plain,
! [A,B,C] :
( ra_Px2(C,B)
| ~ ra_Px2(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px2_substitution_2]) ).
fof(f_23_2,plain,
! [U_49,U_48,U_47] :
( ra_Px2(U_47,U_48)
| ~ ra_Px2(U_47,U_49)
| U_49 != U_48 ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_49,U_48,U_47] :
( ra_Px2(U_47,U_48)
| ~ ra_Px2(U_47,U_49)
| U_49 != U_48 ),
inference(definitional_conversion,[status(esa)],[f_23_2]) ).
cnf(f_23_4,plain,
( ra_Px2(U_47,U_48)
| ~ ra_Px2(U_47,U_49)
| U_49 != U_48 ),
inference(clausify,[status(thm)],[f_23_3]) ).
fof(f_24_1,plain,
! [A,B,C] :
( ra_Px3(B,C)
| ~ ra_Px3(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px3_substitution_1]) ).
fof(f_24_2,plain,
! [U_52,U_51,U_50] :
( ra_Px3(U_51,U_50)
| ~ ra_Px3(U_52,U_50)
| U_52 != U_51 ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
! [U_52,U_50,U_51] :
( ra_Px3(U_51,U_50)
| ~ ra_Px3(U_52,U_50)
| U_52 != U_51 ),
inference(definitional_conversion,[status(esa)],[f_24_2]) ).
cnf(f_24_4,plain,
( ra_Px3(U_51,U_50)
| ~ ra_Px3(U_52,U_50)
| U_52 != U_51 ),
inference(clausify,[status(thm)],[f_24_3]) ).
fof(f_25_1,plain,
! [A,B,C] :
( ra_Px3(C,B)
| ~ ra_Px3(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px3_substitution_2]) ).
fof(f_25_2,plain,
! [U_55,U_54,U_53] :
( ra_Px3(U_53,U_54)
| ~ ra_Px3(U_53,U_55)
| U_55 != U_54 ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
! [U_55,U_53,U_54] :
( ra_Px3(U_53,U_54)
| ~ ra_Px3(U_53,U_55)
| U_55 != U_54 ),
inference(definitional_conversion,[status(esa)],[f_25_2]) ).
cnf(f_25_4,plain,
( ra_Px3(U_53,U_54)
| ~ ra_Px3(U_53,U_55)
| U_55 != U_54 ),
inference(clausify,[status(thm)],[f_25_3]) ).
fof(f_26_1,plain,
! [A,B,C] :
( ra_Px4(B,C)
| ~ ra_Px4(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px4_substitution_1]) ).
fof(f_26_2,plain,
! [U_58,U_57,U_56] :
( ra_Px4(U_57,U_56)
| ~ ra_Px4(U_58,U_56)
| U_58 != U_57 ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
! [U_58,U_56,U_57] :
( ra_Px4(U_57,U_56)
| ~ ra_Px4(U_58,U_56)
| U_58 != U_57 ),
inference(definitional_conversion,[status(esa)],[f_26_2]) ).
cnf(f_26_4,plain,
( ra_Px4(U_57,U_56)
| ~ ra_Px4(U_58,U_56)
| U_58 != U_57 ),
inference(clausify,[status(thm)],[f_26_3]) ).
fof(f_27_1,plain,
! [A,B,C] :
( ra_Px4(C,B)
| ~ ra_Px4(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px4_substitution_2]) ).
fof(f_27_2,plain,
! [U_61,U_60,U_59] :
( ra_Px4(U_59,U_60)
| ~ ra_Px4(U_59,U_61)
| U_61 != U_60 ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
! [U_59,U_61,U_60] :
( ra_Px4(U_59,U_60)
| ~ ra_Px4(U_59,U_61)
| U_61 != U_60 ),
inference(definitional_conversion,[status(esa)],[f_27_2]) ).
cnf(f_27_4,plain,
( ra_Px4(U_59,U_60)
| ~ ra_Px4(U_59,U_61)
| U_61 != U_60 ),
inference(clausify,[status(thm)],[f_27_3]) ).
fof(f_28_1,plain,
! [A,B,C] :
( ra_Px5(B,C)
| ~ ra_Px5(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px5_substitution_1]) ).
fof(f_28_2,plain,
! [U_64,U_63,U_62] :
( ra_Px5(U_63,U_62)
| ~ ra_Px5(U_64,U_62)
| U_64 != U_63 ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
! [U_64,U_63,U_62] :
( ra_Px5(U_63,U_62)
| ~ ra_Px5(U_64,U_62)
| U_64 != U_63 ),
inference(definitional_conversion,[status(esa)],[f_28_2]) ).
cnf(f_28_4,plain,
( ra_Px5(U_63,U_62)
| ~ ra_Px5(U_64,U_62)
| U_64 != U_63 ),
inference(clausify,[status(thm)],[f_28_3]) ).
fof(f_29_1,plain,
! [A,B,C] :
( ra_Px5(C,B)
| ~ ra_Px5(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px5_substitution_2]) ).
fof(f_29_2,plain,
! [U_67,U_66,U_65] :
( ra_Px5(U_65,U_66)
| ~ ra_Px5(U_65,U_67)
| U_67 != U_66 ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
! [U_67,U_65,U_66] :
( ra_Px5(U_65,U_66)
| ~ ra_Px5(U_65,U_67)
| U_67 != U_66 ),
inference(definitional_conversion,[status(esa)],[f_29_2]) ).
cnf(f_29_4,plain,
( ra_Px5(U_65,U_66)
| ~ ra_Px5(U_65,U_67)
| U_67 != U_66 ),
inference(clausify,[status(thm)],[f_29_3]) ).
fof(f_30_1,plain,
! [A,B,C] :
( ra_Px6(B,C)
| ~ ra_Px6(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px6_substitution_1]) ).
fof(f_30_2,plain,
! [U_70,U_69,U_68] :
( ra_Px6(U_69,U_68)
| ~ ra_Px6(U_70,U_68)
| U_70 != U_69 ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
! [U_70,U_68,U_69] :
( ra_Px6(U_69,U_68)
| ~ ra_Px6(U_70,U_68)
| U_70 != U_69 ),
inference(definitional_conversion,[status(esa)],[f_30_2]) ).
cnf(f_30_4,plain,
( ra_Px6(U_69,U_68)
| ~ ra_Px6(U_70,U_68)
| U_70 != U_69 ),
inference(clausify,[status(thm)],[f_30_3]) ).
fof(f_31_1,plain,
! [A,B,C] :
( ra_Px6(C,B)
| ~ ra_Px6(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px6_substitution_2]) ).
fof(f_31_2,plain,
! [U_73,U_72,U_71] :
( ra_Px6(U_71,U_72)
| ~ ra_Px6(U_71,U_73)
| U_73 != U_72 ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
! [U_73,U_71,U_72] :
( ra_Px6(U_71,U_72)
| ~ ra_Px6(U_71,U_73)
| U_73 != U_72 ),
inference(definitional_conversion,[status(esa)],[f_31_2]) ).
cnf(f_31_4,plain,
( ra_Px6(U_71,U_72)
| ~ ra_Px6(U_71,U_73)
| U_73 != U_72 ),
inference(clausify,[status(thm)],[f_31_3]) ).
fof(f_32_1,plain,
! [A,B,C] :
( ra_Px7(B,C)
| ~ ra_Px7(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px7_substitution_1]) ).
fof(f_32_2,plain,
! [U_76,U_75,U_74] :
( ra_Px7(U_75,U_74)
| ~ ra_Px7(U_76,U_74)
| U_76 != U_75 ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
! [U_76,U_74,U_75] :
( ra_Px7(U_75,U_74)
| ~ ra_Px7(U_76,U_74)
| U_76 != U_75 ),
inference(definitional_conversion,[status(esa)],[f_32_2]) ).
cnf(f_32_4,plain,
( ra_Px7(U_75,U_74)
| ~ ra_Px7(U_76,U_74)
| U_76 != U_75 ),
inference(clausify,[status(thm)],[f_32_3]) ).
fof(f_33_1,plain,
! [A,B,C] :
( ra_Px7(C,B)
| ~ ra_Px7(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px7_substitution_2]) ).
fof(f_33_2,plain,
! [U_79,U_78,U_77] :
( ra_Px7(U_77,U_78)
| ~ ra_Px7(U_77,U_79)
| U_79 != U_78 ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
! [U_79,U_77,U_78] :
( ra_Px7(U_77,U_78)
| ~ ra_Px7(U_77,U_79)
| U_79 != U_78 ),
inference(definitional_conversion,[status(esa)],[f_33_2]) ).
cnf(f_33_4,plain,
( ra_Px7(U_77,U_78)
| ~ ra_Px7(U_77,U_79)
| U_79 != U_78 ),
inference(clausify,[status(thm)],[f_33_3]) ).
fof(f_34_1,plain,
! [A,B,C] :
( rinvR(B,C)
| ~ rinvR(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvR_substitution_1]) ).
fof(f_34_2,plain,
! [U_82,U_81,U_80] :
( rinvR(U_81,U_80)
| ~ rinvR(U_82,U_80)
| U_82 != U_81 ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
! [U_80,U_81,U_82] :
( rinvR(U_81,U_80)
| ~ rinvR(U_82,U_80)
| U_82 != U_81 ),
inference(definitional_conversion,[status(esa)],[f_34_2]) ).
cnf(f_34_4,plain,
( rinvR(U_81,U_80)
| ~ rinvR(U_82,U_80)
| U_82 != U_81 ),
inference(clausify,[status(thm)],[f_34_3]) ).
fof(f_35_1,plain,
! [A,B,C] :
( rinvR(C,B)
| ~ rinvR(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvR_substitution_2]) ).
fof(f_35_2,plain,
! [U_85,U_84,U_83] :
( rinvR(U_83,U_84)
| ~ rinvR(U_83,U_85)
| U_85 != U_84 ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
! [U_85,U_83,U_84] :
( rinvR(U_83,U_84)
| ~ rinvR(U_83,U_85)
| U_85 != U_84 ),
inference(definitional_conversion,[status(esa)],[f_35_2]) ).
cnf(f_35_4,plain,
( rinvR(U_83,U_84)
| ~ rinvR(U_83,U_85)
| U_85 != U_84 ),
inference(clausify,[status(thm)],[f_35_3]) ).
fof(f_36_1,plain,
! [A,B,C] :
( rr(B,C)
| ~ rr(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rr_substitution_1]) ).
fof(f_36_2,plain,
! [U_88,U_87,U_86] :
( rr(U_87,U_86)
| ~ rr(U_88,U_86)
| U_88 != U_87 ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
! [U_86,U_87,U_88] :
( rr(U_87,U_86)
| ~ rr(U_88,U_86)
| U_88 != U_87 ),
inference(definitional_conversion,[status(esa)],[f_36_2]) ).
cnf(f_36_4,plain,
( rr(U_87,U_86)
| ~ rr(U_88,U_86)
| U_88 != U_87 ),
inference(clausify,[status(thm)],[f_36_3]) ).
fof(f_37_1,plain,
! [A,B,C] :
( rr(C,B)
| ~ rr(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rr_substitution_2]) ).
fof(f_37_2,plain,
! [U_91,U_90,U_89] :
( rr(U_89,U_90)
| ~ rr(U_89,U_91)
| U_91 != U_90 ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
! [U_89,U_90,U_91] :
( rr(U_89,U_90)
| ~ rr(U_89,U_91)
| U_91 != U_90 ),
inference(definitional_conversion,[status(esa)],[f_37_2]) ).
cnf(f_37_4,plain,
( rr(U_89,U_90)
| ~ rr(U_89,U_91)
| U_91 != U_90 ),
inference(clausify,[status(thm)],[f_37_3]) ).
fof(f_38_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_38_2,plain,
! [U_93,U_92] :
( xsd_integer(U_92)
| ~ xsd_integer(U_93)
| U_93 != U_92 ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
! [U_93,U_92] :
( xsd_integer(U_92)
| ~ xsd_integer(U_93)
| U_93 != U_92 ),
inference(definitional_conversion,[status(esa)],[f_38_2]) ).
cnf(f_38_4,plain,
( xsd_integer(U_92)
| ~ xsd_integer(U_93)
| U_93 != U_92 ),
inference(clausify,[status(thm)],[f_38_3]) ).
fof(f_39_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_39_2,plain,
! [U_95,U_94] :
( xsd_string(U_94)
| ~ xsd_string(U_95)
| U_95 != U_94 ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
! [U_95,U_94] :
( xsd_string(U_94)
| ~ xsd_string(U_95)
| U_95 != U_94 ),
inference(definitional_conversion,[status(esa)],[f_39_2]) ).
cnf(f_39_4,plain,
( xsd_string(U_94)
| ~ xsd_string(U_95)
| U_95 != U_94 ),
inference(clausify,[status(thm)],[f_39_3]) ).
fof(f_40_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_40_2,plain,
! [U_96] :
( ~ cowlNothing(U_96)
& cowlThing(U_96) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
( ! [U_98] : ~ cowlNothing(U_98)
& ! [U_97] : cowlThing(U_97) ),
inference(miniscope,[status(thm)],[f_40_2]) ).
fof(f_40_4,plain,
( ! [U_98] : ~ cowlNothing(U_98)
& ! [U_97] : cowlThing(U_97) ),
inference(definitional_conversion,[status(esa)],[f_40_3]) ).
cnf(f_40_5,plain,
cowlThing(U_97),
inference(clausify,[status(thm)],[f_40_4]) ).
cnf(f_40_6,plain,
~ cowlNothing(U_98),
inference(clausify,[status(thm)],[f_40_4]) ).
fof(f_41_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_41_2,plain,
! [U_99] :
( ( xsd_string(U_99)
| xsd_integer(U_99) )
& ( ~ xsd_integer(U_99)
| ~ xsd_string(U_99) ) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
( ! [U_101] :
( xsd_string(U_101)
| xsd_integer(U_101) )
& ! [U_100] :
( ~ xsd_integer(U_100)
| ~ xsd_string(U_100) ) ),
inference(miniscope,[status(thm)],[f_41_2]) ).
fof(f_41_4,plain,
( ! [U_101] :
( xsd_string(U_101)
| xsd_integer(U_101) )
& ! [U_100] :
( ~ xsd_integer(U_100)
| ~ xsd_string(U_100) ) ),
inference(definitional_conversion,[status(esa)],[f_41_3]) ).
cnf(f_41_5,plain,
( ~ xsd_integer(U_100)
| ~ xsd_string(U_100) ),
inference(clausify,[status(thm)],[f_41_4]) ).
cnf(f_41_6,plain,
( xsd_string(U_101)
| xsd_integer(U_101) ),
inference(clausify,[status(thm)],[f_41_4]) ).
fof(f_42_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ~ cp2(X)
| ! [Y] :
( ~ ca_Ax14(Y)
| ~ rinvR(X,Y) ) )
& ( ( cp2(X)
& ? [Y] :
( ca_Ax14(Y)
& rinvR(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_42_2,plain,
! [U_104] :
( ( cUnsatisfiable(U_104)
| ~ cp2(U_104)
| ! [U_103] :
( ~ ca_Ax14(U_103)
| ~ rinvR(U_104,U_103) ) )
& ( ( cp2(U_104)
& ? [U_102] :
( ca_Ax14(U_102)
& rinvR(U_104,U_102) ) )
| ~ cUnsatisfiable(U_104) ) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
( ! [U_106] :
( cUnsatisfiable(U_106)
| ~ cp2(U_106)
| ! [U_103] :
( ~ ca_Ax14(U_103)
| ~ rinvR(U_106,U_103) ) )
& ! [U_105] :
( ( cp2(U_105)
& ? [U_102] :
( ca_Ax14(U_102)
& rinvR(U_105,U_102) ) )
| ~ cUnsatisfiable(U_105) ) ),
inference(miniscope,[status(thm)],[f_42_2]) ).
fof(f_42_4,plain,
( ! [U_106] :
( cUnsatisfiable(U_106)
| ~ cp2(U_106)
| ! [U_103] :
( ~ ca_Ax14(U_103)
| ~ rinvR(U_106,U_103) ) )
& ! [U_105] :
( ( cp2(U_105)
& ca_Ax14(sK1(U_105))
& rinvR(U_105,sK1(U_105)) )
| ~ cUnsatisfiable(U_105) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_102,sK1(U_105))],[f_42_3]) ).
fof(f_42_5,plain,
( ! [U_105] :
( cp2(U_105)
| ~ sP0(U_105) )
& ! [U_105] :
( ca_Ax14(sK1(U_105))
| ~ sP0(U_105) )
& ! [U_105] :
( rinvR(U_105,sK1(U_105))
| ~ sP0(U_105) )
& ! [U_103,U_106] :
( cUnsatisfiable(U_106)
| ~ cp2(U_106)
| ~ ca_Ax14(U_103)
| ~ rinvR(U_106,U_103) )
& ! [U_105] :
( sP0(U_105)
| ~ cUnsatisfiable(U_105) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_42_4]) ).
cnf(f_42_6,plain,
( sP0(U_105)
| ~ cUnsatisfiable(U_105) ),
inference(clausify,[status(thm)],[f_42_5]) ).
cnf(f_42_7,plain,
( cUnsatisfiable(U_106)
| ~ cp2(U_106)
| ~ ca_Ax14(U_103)
| ~ rinvR(U_106,U_103) ),
inference(clausify,[status(thm)],[f_42_5]) ).
cnf(f_42_8,plain,
( rinvR(U_105,sK1(U_105))
| ~ sP0(U_105) ),
inference(clausify,[status(thm)],[f_42_5]) ).
cnf(f_42_9,plain,
( ca_Ax14(sK1(U_105))
| ~ sP0(U_105) ),
inference(clausify,[status(thm)],[f_42_5]) ).
cnf(f_42_10,plain,
( cp2(U_105)
| ~ sP0(U_105) ),
inference(clausify,[status(thm)],[f_42_5]) ).
fof(f_43_1,plain,
! [X] :
( ca_Cx1(X)
| ~ cp1(X) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_43_2,plain,
! [U_107] :
( ca_Cx1(U_107)
| ~ cp1(U_107) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
! [U_107] :
( ca_Cx1(U_107)
| ~ cp1(U_107) ),
inference(definitional_conversion,[status(esa)],[f_43_2]) ).
cnf(f_43_4,plain,
( ca_Cx1(U_107)
| ~ cp1(U_107) ),
inference(clausify,[status(thm)],[f_43_3]) ).
fof(f_44_1,plain,
! [X] :
( ( cp2(X)
| ! [Y0] : ~ ra_Px5(X,Y0) )
& ( ? [Y0] : ra_Px5(X,Y0)
| ~ cp2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_44_2,plain,
! [U_110] :
( ( cp2(U_110)
| ! [U_109] : ~ ra_Px5(U_110,U_109) )
& ( ? [U_108] : ra_Px5(U_110,U_108)
| ~ cp2(U_110) ) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
fof(f_44_3,plain,
( ! [U_112] :
( cp2(U_112)
| ! [U_109] : ~ ra_Px5(U_112,U_109) )
& ! [U_111] :
( ? [U_108] : ra_Px5(U_111,U_108)
| ~ cp2(U_111) ) ),
inference(miniscope,[status(thm)],[f_44_2]) ).
fof(f_44_4,plain,
( ! [U_112] :
( cp2(U_112)
| ! [U_109] : ~ ra_Px5(U_112,U_109) )
& ! [U_111] :
( ra_Px5(U_111,sK2(U_111))
| ~ cp2(U_111) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_108,sK2(U_111))],[f_44_3]) ).
fof(f_44_5,plain,
( ! [U_112,U_109] :
( cp2(U_112)
| ~ ra_Px5(U_112,U_109) )
& ! [U_111] :
( ra_Px5(U_111,sK2(U_111))
| ~ cp2(U_111) ) ),
inference(definitional_conversion,[status(esa)],[f_44_4]) ).
cnf(f_44_6,plain,
( ra_Px5(U_111,sK2(U_111))
| ~ cp2(U_111) ),
inference(clausify,[status(thm)],[f_44_5]) ).
cnf(f_44_7,plain,
( cp2(U_112)
| ~ ra_Px5(U_112,U_109) ),
inference(clausify,[status(thm)],[f_44_5]) ).
fof(f_45_1,plain,
! [X] :
( ca_Cx2(X)
| ~ cp2(X) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_45_2,plain,
! [U_113] :
( ca_Cx2(U_113)
| ~ cp2(U_113) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
! [U_113] :
( ca_Cx2(U_113)
| ~ cp2(U_113) ),
inference(definitional_conversion,[status(esa)],[f_45_2]) ).
cnf(f_45_4,plain,
( ca_Cx2(U_113)
| ~ cp2(U_113) ),
inference(clausify,[status(thm)],[f_45_3]) ).
fof(f_46_1,plain,
! [X] :
( ( cp2xcomp(X)
| ? [Y] : ra_Px5(X,Y) )
& ( ! [Y] : ~ ra_Px5(X,Y)
| ~ cp2xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_46_2,plain,
! [U_116] :
( ( cp2xcomp(U_116)
| ? [U_115] : ra_Px5(U_116,U_115) )
& ( ! [U_114] : ~ ra_Px5(U_116,U_114)
| ~ cp2xcomp(U_116) ) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
( ! [U_118] :
( cp2xcomp(U_118)
| ? [U_115] : ra_Px5(U_118,U_115) )
& ! [U_117] :
( ! [U_114] : ~ ra_Px5(U_117,U_114)
| ~ cp2xcomp(U_117) ) ),
inference(miniscope,[status(thm)],[f_46_2]) ).
fof(f_46_4,plain,
( ! [U_118] :
( cp2xcomp(U_118)
| ra_Px5(U_118,sK3(U_118)) )
& ! [U_117] :
( ! [U_114] : ~ ra_Px5(U_117,U_114)
| ~ cp2xcomp(U_117) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_115,sK3(U_118))],[f_46_3]) ).
fof(f_46_5,plain,
( ! [U_118] :
( cp2xcomp(U_118)
| ra_Px5(U_118,sK3(U_118)) )
& ! [U_114,U_117] :
( ~ ra_Px5(U_117,U_114)
| ~ cp2xcomp(U_117) ) ),
inference(definitional_conversion,[status(esa)],[f_46_4]) ).
cnf(f_46_6,plain,
( ~ ra_Px5(U_117,U_114)
| ~ cp2xcomp(U_117) ),
inference(clausify,[status(thm)],[f_46_5]) ).
cnf(f_46_7,plain,
( cp2xcomp(U_118)
| ra_Px5(U_118,sK3(U_118)) ),
inference(clausify,[status(thm)],[f_46_5]) ).
fof(f_47_1,plain,
! [X] :
( ( cp3(X)
| ! [Y0] : ~ ra_Px6(X,Y0) )
& ( ? [Y0] : ra_Px6(X,Y0)
| ~ cp3(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_47_2,plain,
! [U_121] :
( ( cp3(U_121)
| ! [U_120] : ~ ra_Px6(U_121,U_120) )
& ( ? [U_119] : ra_Px6(U_121,U_119)
| ~ cp3(U_121) ) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
( ! [U_123] :
( cp3(U_123)
| ! [U_120] : ~ ra_Px6(U_123,U_120) )
& ! [U_122] :
( ? [U_119] : ra_Px6(U_122,U_119)
| ~ cp3(U_122) ) ),
inference(miniscope,[status(thm)],[f_47_2]) ).
fof(f_47_4,plain,
( ! [U_123] :
( cp3(U_123)
| ! [U_120] : ~ ra_Px6(U_123,U_120) )
& ! [U_122] :
( ra_Px6(U_122,sK4(U_122))
| ~ cp3(U_122) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_119,sK4(U_122))],[f_47_3]) ).
fof(f_47_5,plain,
( ! [U_123,U_120] :
( cp3(U_123)
| ~ ra_Px6(U_123,U_120) )
& ! [U_122] :
( ra_Px6(U_122,sK4(U_122))
| ~ cp3(U_122) ) ),
inference(definitional_conversion,[status(esa)],[f_47_4]) ).
cnf(f_47_6,plain,
( ra_Px6(U_122,sK4(U_122))
| ~ cp3(U_122) ),
inference(clausify,[status(thm)],[f_47_5]) ).
cnf(f_47_7,plain,
( cp3(U_123)
| ~ ra_Px6(U_123,U_120) ),
inference(clausify,[status(thm)],[f_47_5]) ).
fof(f_48_1,plain,
! [X] :
( ca_Cx3(X)
| ~ cp3(X) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_48_2,plain,
! [U_124] :
( ca_Cx3(U_124)
| ~ cp3(U_124) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
! [U_124] :
( ca_Cx3(U_124)
| ~ cp3(U_124) ),
inference(definitional_conversion,[status(esa)],[f_48_2]) ).
cnf(f_48_4,plain,
( ca_Cx3(U_124)
| ~ cp3(U_124) ),
inference(clausify,[status(thm)],[f_48_3]) ).
fof(f_49_1,plain,
! [X] :
( ( cp3xcomp(X)
| ? [Y] : ra_Px6(X,Y) )
& ( ! [Y] : ~ ra_Px6(X,Y)
| ~ cp3xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_49_2,plain,
! [U_127] :
( ( cp3xcomp(U_127)
| ? [U_126] : ra_Px6(U_127,U_126) )
& ( ! [U_125] : ~ ra_Px6(U_127,U_125)
| ~ cp3xcomp(U_127) ) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
( ! [U_129] :
( cp3xcomp(U_129)
| ? [U_126] : ra_Px6(U_129,U_126) )
& ! [U_128] :
( ! [U_125] : ~ ra_Px6(U_128,U_125)
| ~ cp3xcomp(U_128) ) ),
inference(miniscope,[status(thm)],[f_49_2]) ).
fof(f_49_4,plain,
( ! [U_129] :
( cp3xcomp(U_129)
| ra_Px6(U_129,sK5(U_129)) )
& ! [U_128] :
( ! [U_125] : ~ ra_Px6(U_128,U_125)
| ~ cp3xcomp(U_128) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_126,sK5(U_129))],[f_49_3]) ).
fof(f_49_5,plain,
( ! [U_129] :
( cp3xcomp(U_129)
| ra_Px6(U_129,sK5(U_129)) )
& ! [U_125,U_128] :
( ~ ra_Px6(U_128,U_125)
| ~ cp3xcomp(U_128) ) ),
inference(definitional_conversion,[status(esa)],[f_49_4]) ).
cnf(f_49_6,plain,
( ~ ra_Px6(U_128,U_125)
| ~ cp3xcomp(U_128) ),
inference(clausify,[status(thm)],[f_49_5]) ).
cnf(f_49_7,plain,
( cp3xcomp(U_129)
| ra_Px6(U_129,sK5(U_129)) ),
inference(clausify,[status(thm)],[f_49_5]) ).
fof(f_50_1,plain,
! [X] :
( ( cp4(X)
| ? [Y] : ra_Px7(X,Y) )
& ( ! [Y] : ~ ra_Px7(X,Y)
| ~ cp4(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_50_2,plain,
! [U_132] :
( ( cp4(U_132)
| ? [U_131] : ra_Px7(U_132,U_131) )
& ( ! [U_130] : ~ ra_Px7(U_132,U_130)
| ~ cp4(U_132) ) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
( ! [U_134] :
( cp4(U_134)
| ? [U_131] : ra_Px7(U_134,U_131) )
& ! [U_133] :
( ! [U_130] : ~ ra_Px7(U_133,U_130)
| ~ cp4(U_133) ) ),
inference(miniscope,[status(thm)],[f_50_2]) ).
fof(f_50_4,plain,
( ! [U_134] :
( cp4(U_134)
| ra_Px7(U_134,sK6(U_134)) )
& ! [U_133] :
( ! [U_130] : ~ ra_Px7(U_133,U_130)
| ~ cp4(U_133) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_131,sK6(U_134))],[f_50_3]) ).
fof(f_50_5,plain,
( ! [U_134] :
( cp4(U_134)
| ra_Px7(U_134,sK6(U_134)) )
& ! [U_130,U_133] :
( ~ ra_Px7(U_133,U_130)
| ~ cp4(U_133) ) ),
inference(definitional_conversion,[status(esa)],[f_50_4]) ).
cnf(f_50_6,plain,
( ~ ra_Px7(U_133,U_130)
| ~ cp4(U_133) ),
inference(clausify,[status(thm)],[f_50_5]) ).
cnf(f_50_7,plain,
( cp4(U_134)
| ra_Px7(U_134,sK6(U_134)) ),
inference(clausify,[status(thm)],[f_50_5]) ).
fof(f_51_1,plain,
! [X] :
( cp5xcomp(X)
| ~ cp4(X) ),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_51_2,plain,
! [U_135] :
( cp5xcomp(U_135)
| ~ cp4(U_135) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
fof(f_51_3,plain,
! [U_135] :
( cp5xcomp(U_135)
| ~ cp4(U_135) ),
inference(definitional_conversion,[status(esa)],[f_51_2]) ).
cnf(f_51_4,plain,
( cp5xcomp(U_135)
| ~ cp4(U_135) ),
inference(clausify,[status(thm)],[f_51_3]) ).
fof(f_52_1,plain,
! [X] :
( ( cp4xcomp(X)
| ! [Y0] : ~ ra_Px7(X,Y0) )
& ( ? [Y0] : ra_Px7(X,Y0)
| ~ cp4xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_52_2,plain,
! [U_138] :
( ( cp4xcomp(U_138)
| ! [U_137] : ~ ra_Px7(U_138,U_137) )
& ( ? [U_136] : ra_Px7(U_138,U_136)
| ~ cp4xcomp(U_138) ) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
fof(f_52_3,plain,
( ! [U_140] :
( cp4xcomp(U_140)
| ! [U_137] : ~ ra_Px7(U_140,U_137) )
& ! [U_139] :
( ? [U_136] : ra_Px7(U_139,U_136)
| ~ cp4xcomp(U_139) ) ),
inference(miniscope,[status(thm)],[f_52_2]) ).
fof(f_52_4,plain,
( ! [U_140] :
( cp4xcomp(U_140)
| ! [U_137] : ~ ra_Px7(U_140,U_137) )
& ! [U_139] :
( ra_Px7(U_139,sK7(U_139))
| ~ cp4xcomp(U_139) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_136,sK7(U_139))],[f_52_3]) ).
fof(f_52_5,plain,
( ! [U_137,U_140] :
( cp4xcomp(U_140)
| ~ ra_Px7(U_140,U_137) )
& ! [U_139] :
( ra_Px7(U_139,sK7(U_139))
| ~ cp4xcomp(U_139) ) ),
inference(definitional_conversion,[status(esa)],[f_52_4]) ).
cnf(f_52_6,plain,
( ra_Px7(U_139,sK7(U_139))
| ~ cp4xcomp(U_139) ),
inference(clausify,[status(thm)],[f_52_5]) ).
cnf(f_52_7,plain,
( cp4xcomp(U_140)
| ~ ra_Px7(U_140,U_137) ),
inference(clausify,[status(thm)],[f_52_5]) ).
fof(f_53_1,plain,
! [X] :
( ( cp5(X)
| ? [Y] : ra_Px4(X,Y) )
& ( ! [Y] : ~ ra_Px4(X,Y)
| ~ cp5(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
fof(f_53_2,plain,
! [U_143] :
( ( cp5(U_143)
| ? [U_142] : ra_Px4(U_143,U_142) )
& ( ! [U_141] : ~ ra_Px4(U_143,U_141)
| ~ cp5(U_143) ) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
fof(f_53_3,plain,
( ! [U_145] :
( cp5(U_145)
| ? [U_142] : ra_Px4(U_145,U_142) )
& ! [U_144] :
( ! [U_141] : ~ ra_Px4(U_144,U_141)
| ~ cp5(U_144) ) ),
inference(miniscope,[status(thm)],[f_53_2]) ).
fof(f_53_4,plain,
( ! [U_145] :
( cp5(U_145)
| ra_Px4(U_145,sK8(U_145)) )
& ! [U_144] :
( ! [U_141] : ~ ra_Px4(U_144,U_141)
| ~ cp5(U_144) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_142,sK8(U_145))],[f_53_3]) ).
fof(f_53_5,plain,
( ! [U_145] :
( cp5(U_145)
| ra_Px4(U_145,sK8(U_145)) )
& ! [U_144,U_141] :
( ~ ra_Px4(U_144,U_141)
| ~ cp5(U_144) ) ),
inference(definitional_conversion,[status(esa)],[f_53_4]) ).
cnf(f_53_6,plain,
( ~ ra_Px4(U_144,U_141)
| ~ cp5(U_144) ),
inference(clausify,[status(thm)],[f_53_5]) ).
cnf(f_53_7,plain,
( cp5(U_145)
| ra_Px4(U_145,sK8(U_145)) ),
inference(clausify,[status(thm)],[f_53_5]) ).
fof(f_54_1,plain,
! [X] :
( ( cp5xcomp(X)
| ! [Y0] : ~ ra_Px4(X,Y0) )
& ( ? [Y0] : ra_Px4(X,Y0)
| ~ cp5xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
fof(f_54_2,plain,
! [U_148] :
( ( cp5xcomp(U_148)
| ! [U_147] : ~ ra_Px4(U_148,U_147) )
& ( ? [U_146] : ra_Px4(U_148,U_146)
| ~ cp5xcomp(U_148) ) ),
inference(variable_rename,[status(thm)],[f_54_1]) ).
fof(f_54_3,plain,
( ! [U_150] :
( cp5xcomp(U_150)
| ! [U_147] : ~ ra_Px4(U_150,U_147) )
& ! [U_149] :
( ? [U_146] : ra_Px4(U_149,U_146)
| ~ cp5xcomp(U_149) ) ),
inference(miniscope,[status(thm)],[f_54_2]) ).
fof(f_54_4,plain,
( ! [U_150] :
( cp5xcomp(U_150)
| ! [U_147] : ~ ra_Px4(U_150,U_147) )
& ! [U_149] :
( ra_Px4(U_149,sK9(U_149))
| ~ cp5xcomp(U_149) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_146,sK9(U_149))],[f_54_3]) ).
fof(f_54_5,plain,
( ! [U_147,U_150] :
( cp5xcomp(U_150)
| ~ ra_Px4(U_150,U_147) )
& ! [U_149] :
( ra_Px4(U_149,sK9(U_149))
| ~ cp5xcomp(U_149) ) ),
inference(definitional_conversion,[status(esa)],[f_54_4]) ).
cnf(f_54_6,plain,
( ra_Px4(U_149,sK9(U_149))
| ~ cp5xcomp(U_149) ),
inference(clausify,[status(thm)],[f_54_5]) ).
cnf(f_54_7,plain,
( cp5xcomp(U_150)
| ~ ra_Px4(U_150,U_147) ),
inference(clausify,[status(thm)],[f_54_5]) ).
fof(f_55_1,plain,
! [X] :
( ( ca_Ax14(X)
| ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) ) )
& ( ( ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cp1(Y)
& rr(X,Y) ) )
| ~ ca_Ax14(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_15]) ).
fof(f_55_2,plain,
! [U_157] :
( ( ca_Ax14(U_157)
| ? [U_156,U_155] :
( U_156 != U_155
& rr(U_157,U_155)
& rr(U_157,U_156) )
| ! [U_154] :
( ~ cp1(U_154)
| ~ rr(U_157,U_154) ) )
& ( ( ! [U_153,U_152] :
( U_153 = U_152
| ~ rr(U_157,U_152)
| ~ rr(U_157,U_153) )
& ? [U_151] :
( cp1(U_151)
& rr(U_157,U_151) ) )
| ~ ca_Ax14(U_157) ) ),
inference(variable_rename,[status(thm)],[f_55_1]) ).
fof(f_55_3,plain,
( ! [U_159] :
( ca_Ax14(U_159)
| ? [U_156,U_155] :
( U_156 != U_155
& rr(U_159,U_155)
& rr(U_159,U_156) )
| ! [U_154] :
( ~ cp1(U_154)
| ~ rr(U_159,U_154) ) )
& ! [U_158] :
( ( ! [U_153,U_152] :
( U_153 = U_152
| ~ rr(U_158,U_152)
| ~ rr(U_158,U_153) )
& ? [U_151] :
( cp1(U_151)
& rr(U_158,U_151) ) )
| ~ ca_Ax14(U_158) ) ),
inference(miniscope,[status(thm)],[f_55_2]) ).
fof(f_55_4,plain,
( ! [U_159] :
( ca_Ax14(U_159)
| ? [U_156,U_155] :
( U_156 != U_155
& rr(U_159,U_155)
& rr(U_159,U_156) )
| ! [U_154] :
( ~ cp1(U_154)
| ~ rr(U_159,U_154) ) )
& ! [U_158] :
( ( ! [U_153,U_152] :
( U_153 = U_152
| ~ rr(U_158,U_152)
| ~ rr(U_158,U_153) )
& cp1(sK10(U_158))
& rr(U_158,sK10(U_158)) )
| ~ ca_Ax14(U_158) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_151,sK10(U_158))],[f_55_3]) ).
fof(f_55_5,plain,
( ! [U_159] :
( ca_Ax14(U_159)
| ? [U_155] :
( sK11(U_159) != U_155
& rr(U_159,U_155)
& rr(U_159,sK11(U_159)) )
| ! [U_154] :
( ~ cp1(U_154)
| ~ rr(U_159,U_154) ) )
& ! [U_158] :
( ( ! [U_153,U_152] :
( U_153 = U_152
| ~ rr(U_158,U_152)
| ~ rr(U_158,U_153) )
& cp1(sK10(U_158))
& rr(U_158,sK10(U_158)) )
| ~ ca_Ax14(U_158) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_156,sK11(U_159))],[f_55_4]) ).
fof(f_55_6,plain,
( ! [U_159] :
( ca_Ax14(U_159)
| ( sK11(U_159) != sK12(U_159)
& rr(U_159,sK12(U_159))
& rr(U_159,sK11(U_159)) )
| ! [U_154] :
( ~ cp1(U_154)
| ~ rr(U_159,U_154) ) )
& ! [U_158] :
( ( ! [U_153,U_152] :
( U_153 = U_152
| ~ rr(U_158,U_152)
| ~ rr(U_158,U_153) )
& cp1(sK10(U_158))
& rr(U_158,sK10(U_158)) )
| ~ ca_Ax14(U_158) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_155,sK12(U_159))],[f_55_5]) ).
fof(f_55_7,plain,
( ! [U_159] :
( sK11(U_159) != sK12(U_159)
| ~ sP2(U_159) )
& ! [U_159] :
( rr(U_159,sK12(U_159))
| ~ sP2(U_159) )
& ! [U_159] :
( rr(U_159,sK11(U_159))
| ~ sP2(U_159) )
& ! [U_152,U_153,U_158] :
( U_153 = U_152
| ~ rr(U_158,U_152)
| ~ rr(U_158,U_153)
| ~ sP1(U_152,U_153,U_158) )
& ! [U_152,U_153,U_158] :
( cp1(sK10(U_158))
| ~ sP1(U_152,U_153,U_158) )
& ! [U_152,U_153,U_158] :
( rr(U_158,sK10(U_158))
| ~ sP1(U_152,U_153,U_158) )
& ! [U_154,U_159] :
( ca_Ax14(U_159)
| sP2(U_159)
| ~ cp1(U_154)
| ~ rr(U_159,U_154) )
& ! [U_152,U_153,U_158] :
( sP1(U_152,U_153,U_158)
| ~ ca_Ax14(U_158) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1,sP2])],[f_55_6]) ).
cnf(f_55_8,plain,
( sP1(U_152,U_153,U_158)
| ~ ca_Ax14(U_158) ),
inference(clausify,[status(thm)],[f_55_7]) ).
cnf(f_55_9,plain,
( ca_Ax14(U_159)
| sP2(U_159)
| ~ cp1(U_154)
| ~ rr(U_159,U_154) ),
inference(clausify,[status(thm)],[f_55_7]) ).
cnf(f_55_10,plain,
( rr(U_158,sK10(U_158))
| ~ sP1(U_152,U_153,U_158) ),
inference(clausify,[status(thm)],[f_55_7]) ).
cnf(f_55_11,plain,
( cp1(sK10(U_158))
| ~ sP1(U_152,U_153,U_158) ),
inference(clausify,[status(thm)],[f_55_7]) ).
cnf(f_55_12,plain,
( U_153 = U_152
| ~ rr(U_158,U_152)
| ~ rr(U_158,U_153)
| ~ sP1(U_152,U_153,U_158) ),
inference(clausify,[status(thm)],[f_55_7]) ).
cnf(f_55_13,plain,
( rr(U_159,sK11(U_159))
| ~ sP2(U_159) ),
inference(clausify,[status(thm)],[f_55_7]) ).
cnf(f_55_14,plain,
( rr(U_159,sK12(U_159))
| ~ sP2(U_159) ),
inference(clausify,[status(thm)],[f_55_7]) ).
cnf(f_55_15,plain,
( sK11(U_159) != sK12(U_159)
| ~ sP2(U_159) ),
inference(clausify,[status(thm)],[f_55_7]) ).
fof(f_56_1,plain,
! [X] :
( ( ca_Cx1(X)
| ~ cp4xcomp(X)
| ~ cp3xcomp(X)
| ~ cp5xcomp(X)
| ~ cp2xcomp(X) )
& ( ( cp4xcomp(X)
& cp3xcomp(X)
& cp5xcomp(X)
& cp2xcomp(X) )
| ~ ca_Cx1(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_16]) ).
fof(f_56_2,plain,
! [U_160] :
( ( ca_Cx1(U_160)
| ~ cp4xcomp(U_160)
| ~ cp3xcomp(U_160)
| ~ cp5xcomp(U_160)
| ~ cp2xcomp(U_160) )
& ( ( cp4xcomp(U_160)
& cp3xcomp(U_160)
& cp5xcomp(U_160)
& cp2xcomp(U_160) )
| ~ ca_Cx1(U_160) ) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
fof(f_56_3,plain,
( ! [U_162] :
( ca_Cx1(U_162)
| ~ cp4xcomp(U_162)
| ~ cp3xcomp(U_162)
| ~ cp5xcomp(U_162)
| ~ cp2xcomp(U_162) )
& ! [U_161] :
( ( cp4xcomp(U_161)
& cp3xcomp(U_161)
& cp5xcomp(U_161)
& cp2xcomp(U_161) )
| ~ ca_Cx1(U_161) ) ),
inference(miniscope,[status(thm)],[f_56_2]) ).
fof(f_56_4,plain,
( ! [U_161] :
( cp4xcomp(U_161)
| ~ sP3(U_161) )
& ! [U_161] :
( cp3xcomp(U_161)
| ~ sP3(U_161) )
& ! [U_161] :
( cp5xcomp(U_161)
| ~ sP3(U_161) )
& ! [U_161] :
( cp2xcomp(U_161)
| ~ sP3(U_161) )
& ! [U_162] :
( ca_Cx1(U_162)
| ~ cp4xcomp(U_162)
| ~ cp3xcomp(U_162)
| ~ cp5xcomp(U_162)
| ~ cp2xcomp(U_162) )
& ! [U_161] :
( sP3(U_161)
| ~ ca_Cx1(U_161) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_56_3]) ).
cnf(f_56_5,plain,
( sP3(U_161)
| ~ ca_Cx1(U_161) ),
inference(clausify,[status(thm)],[f_56_4]) ).
cnf(f_56_6,plain,
( ca_Cx1(U_162)
| ~ cp4xcomp(U_162)
| ~ cp3xcomp(U_162)
| ~ cp5xcomp(U_162)
| ~ cp2xcomp(U_162) ),
inference(clausify,[status(thm)],[f_56_4]) ).
cnf(f_56_7,plain,
( cp2xcomp(U_161)
| ~ sP3(U_161) ),
inference(clausify,[status(thm)],[f_56_4]) ).
cnf(f_56_8,plain,
( cp5xcomp(U_161)
| ~ sP3(U_161) ),
inference(clausify,[status(thm)],[f_56_4]) ).
cnf(f_56_9,plain,
( cp3xcomp(U_161)
| ~ sP3(U_161) ),
inference(clausify,[status(thm)],[f_56_4]) ).
cnf(f_56_10,plain,
( cp4xcomp(U_161)
| ~ sP3(U_161) ),
inference(clausify,[status(thm)],[f_56_4]) ).
fof(f_57_1,plain,
! [X] :
( ( ca_Cx1(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ ca_Cx1(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_17]) ).
fof(f_57_2,plain,
! [U_165] :
( ( ca_Cx1(U_165)
| ! [U_164] : ~ ra_Px1(U_165,U_164) )
& ( ? [U_163] : ra_Px1(U_165,U_163)
| ~ ca_Cx1(U_165) ) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
fof(f_57_3,plain,
( ! [U_167] :
( ca_Cx1(U_167)
| ! [U_164] : ~ ra_Px1(U_167,U_164) )
& ! [U_166] :
( ? [U_163] : ra_Px1(U_166,U_163)
| ~ ca_Cx1(U_166) ) ),
inference(miniscope,[status(thm)],[f_57_2]) ).
fof(f_57_4,plain,
( ! [U_167] :
( ca_Cx1(U_167)
| ! [U_164] : ~ ra_Px1(U_167,U_164) )
& ! [U_166] :
( ra_Px1(U_166,sK13(U_166))
| ~ ca_Cx1(U_166) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_163,sK13(U_166))],[f_57_3]) ).
fof(f_57_5,plain,
( ! [U_167,U_164] :
( ca_Cx1(U_167)
| ~ ra_Px1(U_167,U_164) )
& ! [U_166] :
( ra_Px1(U_166,sK13(U_166))
| ~ ca_Cx1(U_166) ) ),
inference(definitional_conversion,[status(esa)],[f_57_4]) ).
cnf(f_57_6,plain,
( ra_Px1(U_166,sK13(U_166))
| ~ ca_Cx1(U_166) ),
inference(clausify,[status(thm)],[f_57_5]) ).
cnf(f_57_7,plain,
( ca_Cx1(U_167)
| ~ ra_Px1(U_167,U_164) ),
inference(clausify,[status(thm)],[f_57_5]) ).
fof(f_58_1,plain,
! [X] :
( ( ca_Cx1xcomp(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ ca_Cx1xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_18]) ).
fof(f_58_2,plain,
! [U_170] :
( ( ca_Cx1xcomp(U_170)
| ? [U_169] : ra_Px1(U_170,U_169) )
& ( ! [U_168] : ~ ra_Px1(U_170,U_168)
| ~ ca_Cx1xcomp(U_170) ) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
fof(f_58_3,plain,
( ! [U_172] :
( ca_Cx1xcomp(U_172)
| ? [U_169] : ra_Px1(U_172,U_169) )
& ! [U_171] :
( ! [U_168] : ~ ra_Px1(U_171,U_168)
| ~ ca_Cx1xcomp(U_171) ) ),
inference(miniscope,[status(thm)],[f_58_2]) ).
fof(f_58_4,plain,
( ! [U_172] :
( ca_Cx1xcomp(U_172)
| ra_Px1(U_172,sK14(U_172)) )
& ! [U_171] :
( ! [U_168] : ~ ra_Px1(U_171,U_168)
| ~ ca_Cx1xcomp(U_171) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_169,sK14(U_172))],[f_58_3]) ).
fof(f_58_5,plain,
( ! [U_172] :
( ca_Cx1xcomp(U_172)
| ra_Px1(U_172,sK14(U_172)) )
& ! [U_168,U_171] :
( ~ ra_Px1(U_171,U_168)
| ~ ca_Cx1xcomp(U_171) ) ),
inference(definitional_conversion,[status(esa)],[f_58_4]) ).
cnf(f_58_6,plain,
( ~ ra_Px1(U_171,U_168)
| ~ ca_Cx1xcomp(U_171) ),
inference(clausify,[status(thm)],[f_58_5]) ).
cnf(f_58_7,plain,
( ca_Cx1xcomp(U_172)
| ra_Px1(U_172,sK14(U_172)) ),
inference(clausify,[status(thm)],[f_58_5]) ).
fof(f_59_1,plain,
! [X] :
( ( ca_Cx2(X)
| ~ cp4xcomp(X)
| ~ cp3xcomp(X)
| ~ cp5xcomp(X) )
& ( ( cp4xcomp(X)
& cp3xcomp(X)
& cp5xcomp(X) )
| ~ ca_Cx2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_19]) ).
fof(f_59_2,plain,
! [U_173] :
( ( ca_Cx2(U_173)
| ~ cp4xcomp(U_173)
| ~ cp3xcomp(U_173)
| ~ cp5xcomp(U_173) )
& ( ( cp4xcomp(U_173)
& cp3xcomp(U_173)
& cp5xcomp(U_173) )
| ~ ca_Cx2(U_173) ) ),
inference(variable_rename,[status(thm)],[f_59_1]) ).
fof(f_59_3,plain,
( ! [U_175] :
( ca_Cx2(U_175)
| ~ cp4xcomp(U_175)
| ~ cp3xcomp(U_175)
| ~ cp5xcomp(U_175) )
& ! [U_174] :
( ( cp4xcomp(U_174)
& cp3xcomp(U_174)
& cp5xcomp(U_174) )
| ~ ca_Cx2(U_174) ) ),
inference(miniscope,[status(thm)],[f_59_2]) ).
fof(f_59_4,plain,
( ! [U_174] :
( cp4xcomp(U_174)
| ~ sP4(U_174) )
& ! [U_174] :
( cp3xcomp(U_174)
| ~ sP4(U_174) )
& ! [U_174] :
( cp5xcomp(U_174)
| ~ sP4(U_174) )
& ! [U_175] :
( ca_Cx2(U_175)
| ~ cp4xcomp(U_175)
| ~ cp3xcomp(U_175)
| ~ cp5xcomp(U_175) )
& ! [U_174] :
( sP4(U_174)
| ~ ca_Cx2(U_174) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP4])],[f_59_3]) ).
cnf(f_59_5,plain,
( sP4(U_174)
| ~ ca_Cx2(U_174) ),
inference(clausify,[status(thm)],[f_59_4]) ).
cnf(f_59_6,plain,
( ca_Cx2(U_175)
| ~ cp4xcomp(U_175)
| ~ cp3xcomp(U_175)
| ~ cp5xcomp(U_175) ),
inference(clausify,[status(thm)],[f_59_4]) ).
cnf(f_59_7,plain,
( cp5xcomp(U_174)
| ~ sP4(U_174) ),
inference(clausify,[status(thm)],[f_59_4]) ).
cnf(f_59_8,plain,
( cp3xcomp(U_174)
| ~ sP4(U_174) ),
inference(clausify,[status(thm)],[f_59_4]) ).
cnf(f_59_9,plain,
( cp4xcomp(U_174)
| ~ sP4(U_174) ),
inference(clausify,[status(thm)],[f_59_4]) ).
fof(f_60_1,plain,
! [X] :
( ( ca_Cx2(X)
| ? [Y] : ra_Px2(X,Y) )
& ( ! [Y] : ~ ra_Px2(X,Y)
| ~ ca_Cx2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_20]) ).
fof(f_60_2,plain,
! [U_178] :
( ( ca_Cx2(U_178)
| ? [U_177] : ra_Px2(U_178,U_177) )
& ( ! [U_176] : ~ ra_Px2(U_178,U_176)
| ~ ca_Cx2(U_178) ) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
fof(f_60_3,plain,
( ! [U_180] :
( ca_Cx2(U_180)
| ? [U_177] : ra_Px2(U_180,U_177) )
& ! [U_179] :
( ! [U_176] : ~ ra_Px2(U_179,U_176)
| ~ ca_Cx2(U_179) ) ),
inference(miniscope,[status(thm)],[f_60_2]) ).
fof(f_60_4,plain,
( ! [U_180] :
( ca_Cx2(U_180)
| ra_Px2(U_180,sK15(U_180)) )
& ! [U_179] :
( ! [U_176] : ~ ra_Px2(U_179,U_176)
| ~ ca_Cx2(U_179) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_177,sK15(U_180))],[f_60_3]) ).
fof(f_60_5,plain,
( ! [U_180] :
( ca_Cx2(U_180)
| ra_Px2(U_180,sK15(U_180)) )
& ! [U_176,U_179] :
( ~ ra_Px2(U_179,U_176)
| ~ ca_Cx2(U_179) ) ),
inference(definitional_conversion,[status(esa)],[f_60_4]) ).
cnf(f_60_6,plain,
( ~ ra_Px2(U_179,U_176)
| ~ ca_Cx2(U_179) ),
inference(clausify,[status(thm)],[f_60_5]) ).
cnf(f_60_7,plain,
( ca_Cx2(U_180)
| ra_Px2(U_180,sK15(U_180)) ),
inference(clausify,[status(thm)],[f_60_5]) ).
fof(f_61_1,plain,
! [X] :
( ( ca_Cx2xcomp(X)
| ! [Y0] : ~ ra_Px2(X,Y0) )
& ( ? [Y0] : ra_Px2(X,Y0)
| ~ ca_Cx2xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_21]) ).
fof(f_61_2,plain,
! [U_183] :
( ( ca_Cx2xcomp(U_183)
| ! [U_182] : ~ ra_Px2(U_183,U_182) )
& ( ? [U_181] : ra_Px2(U_183,U_181)
| ~ ca_Cx2xcomp(U_183) ) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
fof(f_61_3,plain,
( ! [U_185] :
( ca_Cx2xcomp(U_185)
| ! [U_182] : ~ ra_Px2(U_185,U_182) )
& ! [U_184] :
( ? [U_181] : ra_Px2(U_184,U_181)
| ~ ca_Cx2xcomp(U_184) ) ),
inference(miniscope,[status(thm)],[f_61_2]) ).
fof(f_61_4,plain,
( ! [U_185] :
( ca_Cx2xcomp(U_185)
| ! [U_182] : ~ ra_Px2(U_185,U_182) )
& ! [U_184] :
( ra_Px2(U_184,sK16(U_184))
| ~ ca_Cx2xcomp(U_184) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_181,sK16(U_184))],[f_61_3]) ).
fof(f_61_5,plain,
( ! [U_185,U_182] :
( ca_Cx2xcomp(U_185)
| ~ ra_Px2(U_185,U_182) )
& ! [U_184] :
( ra_Px2(U_184,sK16(U_184))
| ~ ca_Cx2xcomp(U_184) ) ),
inference(definitional_conversion,[status(esa)],[f_61_4]) ).
cnf(f_61_6,plain,
( ra_Px2(U_184,sK16(U_184))
| ~ ca_Cx2xcomp(U_184) ),
inference(clausify,[status(thm)],[f_61_5]) ).
cnf(f_61_7,plain,
( ca_Cx2xcomp(U_185)
| ~ ra_Px2(U_185,U_182) ),
inference(clausify,[status(thm)],[f_61_5]) ).
fof(f_62_1,plain,
! [X] :
( ( ca_Cx3(X)
| ? [Y] : ra_Px3(X,Y) )
& ( ! [Y] : ~ ra_Px3(X,Y)
| ~ ca_Cx3(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_22]) ).
fof(f_62_2,plain,
! [U_188] :
( ( ca_Cx3(U_188)
| ? [U_187] : ra_Px3(U_188,U_187) )
& ( ! [U_186] : ~ ra_Px3(U_188,U_186)
| ~ ca_Cx3(U_188) ) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
( ! [U_190] :
( ca_Cx3(U_190)
| ? [U_187] : ra_Px3(U_190,U_187) )
& ! [U_189] :
( ! [U_186] : ~ ra_Px3(U_189,U_186)
| ~ ca_Cx3(U_189) ) ),
inference(miniscope,[status(thm)],[f_62_2]) ).
fof(f_62_4,plain,
( ! [U_190] :
( ca_Cx3(U_190)
| ra_Px3(U_190,sK17(U_190)) )
& ! [U_189] :
( ! [U_186] : ~ ra_Px3(U_189,U_186)
| ~ ca_Cx3(U_189) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_187,sK17(U_190))],[f_62_3]) ).
fof(f_62_5,plain,
( ! [U_190] :
( ca_Cx3(U_190)
| ra_Px3(U_190,sK17(U_190)) )
& ! [U_186,U_189] :
( ~ ra_Px3(U_189,U_186)
| ~ ca_Cx3(U_189) ) ),
inference(definitional_conversion,[status(esa)],[f_62_4]) ).
cnf(f_62_6,plain,
( ~ ra_Px3(U_189,U_186)
| ~ ca_Cx3(U_189) ),
inference(clausify,[status(thm)],[f_62_5]) ).
cnf(f_62_7,plain,
( ca_Cx3(U_190)
| ra_Px3(U_190,sK17(U_190)) ),
inference(clausify,[status(thm)],[f_62_5]) ).
fof(f_63_1,plain,
! [X] :
( ( ca_Cx3(X)
| ~ cp4xcomp(X)
| ~ cp5xcomp(X) )
& ( ( cp4xcomp(X)
& cp5xcomp(X) )
| ~ ca_Cx3(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_23]) ).
fof(f_63_2,plain,
! [U_191] :
( ( ca_Cx3(U_191)
| ~ cp4xcomp(U_191)
| ~ cp5xcomp(U_191) )
& ( ( cp4xcomp(U_191)
& cp5xcomp(U_191) )
| ~ ca_Cx3(U_191) ) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
( ! [U_193] :
( ca_Cx3(U_193)
| ~ cp4xcomp(U_193)
| ~ cp5xcomp(U_193) )
& ! [U_192] :
( ( cp4xcomp(U_192)
& cp5xcomp(U_192) )
| ~ ca_Cx3(U_192) ) ),
inference(miniscope,[status(thm)],[f_63_2]) ).
fof(f_63_4,plain,
( ! [U_192] :
( cp4xcomp(U_192)
| ~ sP5(U_192) )
& ! [U_192] :
( cp5xcomp(U_192)
| ~ sP5(U_192) )
& ! [U_193] :
( ca_Cx3(U_193)
| ~ cp4xcomp(U_193)
| ~ cp5xcomp(U_193) )
& ! [U_192] :
( sP5(U_192)
| ~ ca_Cx3(U_192) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP5])],[f_63_3]) ).
cnf(f_63_5,plain,
( sP5(U_192)
| ~ ca_Cx3(U_192) ),
inference(clausify,[status(thm)],[f_63_4]) ).
cnf(f_63_6,plain,
( ca_Cx3(U_193)
| ~ cp4xcomp(U_193)
| ~ cp5xcomp(U_193) ),
inference(clausify,[status(thm)],[f_63_4]) ).
cnf(f_63_7,plain,
( cp5xcomp(U_192)
| ~ sP5(U_192) ),
inference(clausify,[status(thm)],[f_63_4]) ).
cnf(f_63_8,plain,
( cp4xcomp(U_192)
| ~ sP5(U_192) ),
inference(clausify,[status(thm)],[f_63_4]) ).
fof(f_64_1,plain,
! [X] :
( ( ca_Cx3xcomp(X)
| ! [Y0] : ~ ra_Px3(X,Y0) )
& ( ? [Y0] : ra_Px3(X,Y0)
| ~ ca_Cx3xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_24]) ).
fof(f_64_2,plain,
! [U_196] :
( ( ca_Cx3xcomp(U_196)
| ! [U_195] : ~ ra_Px3(U_196,U_195) )
& ( ? [U_194] : ra_Px3(U_196,U_194)
| ~ ca_Cx3xcomp(U_196) ) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
( ! [U_198] :
( ca_Cx3xcomp(U_198)
| ! [U_195] : ~ ra_Px3(U_198,U_195) )
& ! [U_197] :
( ? [U_194] : ra_Px3(U_197,U_194)
| ~ ca_Cx3xcomp(U_197) ) ),
inference(miniscope,[status(thm)],[f_64_2]) ).
fof(f_64_4,plain,
( ! [U_198] :
( ca_Cx3xcomp(U_198)
| ! [U_195] : ~ ra_Px3(U_198,U_195) )
& ! [U_197] :
( ra_Px3(U_197,sK18(U_197))
| ~ ca_Cx3xcomp(U_197) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_194,sK18(U_197))],[f_64_3]) ).
fof(f_64_5,plain,
( ! [U_198,U_195] :
( ca_Cx3xcomp(U_198)
| ~ ra_Px3(U_198,U_195) )
& ! [U_197] :
( ra_Px3(U_197,sK18(U_197))
| ~ ca_Cx3xcomp(U_197) ) ),
inference(definitional_conversion,[status(esa)],[f_64_4]) ).
cnf(f_64_6,plain,
( ra_Px3(U_197,sK18(U_197))
| ~ ca_Cx3xcomp(U_197) ),
inference(clausify,[status(thm)],[f_64_5]) ).
cnf(f_64_7,plain,
( ca_Cx3xcomp(U_198)
| ~ ra_Px3(U_198,U_195) ),
inference(clausify,[status(thm)],[f_64_5]) ).
fof(f_65_1,plain,
! [X,Y] :
( ( rinvR(X,Y)
| ~ rr(Y,X) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_25]) ).
fof(f_65_2,plain,
! [U_200,U_199] :
( ( rinvR(U_200,U_199)
| ~ rr(U_199,U_200) )
& ( rr(U_199,U_200)
| ~ rinvR(U_200,U_199) ) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
( ! [U_204,U_202] :
( rinvR(U_204,U_202)
| ~ rr(U_202,U_204) )
& ! [U_203,U_201] :
( rr(U_201,U_203)
| ~ rinvR(U_203,U_201) ) ),
inference(miniscope,[status(thm)],[f_65_2]) ).
fof(f_65_4,plain,
( ! [U_204,U_202] :
( rinvR(U_204,U_202)
| ~ rr(U_202,U_204) )
& ! [U_201,U_203] :
( rr(U_201,U_203)
| ~ rinvR(U_203,U_201) ) ),
inference(definitional_conversion,[status(esa)],[f_65_3]) ).
cnf(f_65_5,plain,
( rr(U_201,U_203)
| ~ rinvR(U_203,U_201) ),
inference(clausify,[status(thm)],[f_65_4]) ).
cnf(f_65_6,plain,
( rinvR(U_204,U_202)
| ~ rr(U_202,U_204) ),
inference(clausify,[status(thm)],[f_65_4]) ).
fof(f_66_1,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
inference(fof_nnf,[status(thm)],[axiom_26]) ).
fof(f_66_2,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
inference(definitional_conversion,[status(esa)],[f_66_1]) ).
cnf(f_66_3,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
inference(clausify,[status(thm)],[f_66_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,
( 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,
( sK6(Eq_x_0) = sK6(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( sK7(Eq_x_0) = sK7(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( sK8(Eq_x_0) = sK8(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( sK9(Eq_x_0) = sK9(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( sK10(Eq_x_0) = sK10(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( sK11(Eq_x_0) = sK11(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( sK12(Eq_x_0) = sK12(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( sK13(Eq_x_0) = sK13(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( sK14(Eq_x_0) = sK14(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( sK15(Eq_x_0) = sK15(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( sK16(Eq_x_0) = sK16(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( sK17(Eq_x_0) = sK17(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( sK18(Eq_x_0) = sK18(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( cUnsatisfiable(Eq_y_0)
| ~ cUnsatisfiable(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_23,axiom,
( ca_Ax14(Eq_y_0)
| ~ ca_Ax14(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_24,axiom,
( ca_Cx1(Eq_y_0)
| ~ ca_Cx1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_25,axiom,
( ca_Cx1xcomp(Eq_y_0)
| ~ ca_Cx1xcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_26,axiom,
( ca_Cx2(Eq_y_0)
| ~ ca_Cx2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_27,axiom,
( ca_Cx2xcomp(Eq_y_0)
| ~ ca_Cx2xcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_28,axiom,
( ca_Cx3(Eq_y_0)
| ~ ca_Cx3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_29,axiom,
( ca_Cx3xcomp(Eq_y_0)
| ~ ca_Cx3xcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_30,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_31,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_32,axiom,
( cp1(Eq_y_0)
| ~ cp1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_33,axiom,
( cp2(Eq_y_0)
| ~ cp2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_34,axiom,
( cp2xcomp(Eq_y_0)
| ~ cp2xcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_35,axiom,
( cp3(Eq_y_0)
| ~ cp3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_36,axiom,
( cp3xcomp(Eq_y_0)
| ~ cp3xcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_37,axiom,
( cp4(Eq_y_0)
| ~ cp4(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_38,axiom,
( cp4xcomp(Eq_y_0)
| ~ cp4xcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_39,axiom,
( cp5(Eq_y_0)
| ~ cp5(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_40,axiom,
( cp5xcomp(Eq_y_0)
| ~ cp5xcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_41,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_42,axiom,
( ra_Px2(Eq_y_0,Eq_y_1)
| ~ ra_Px2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_43,axiom,
( ra_Px3(Eq_y_0,Eq_y_1)
| ~ ra_Px3(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_44,axiom,
( ra_Px4(Eq_y_0,Eq_y_1)
| ~ ra_Px4(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_45,axiom,
( ra_Px5(Eq_y_0,Eq_y_1)
| ~ ra_Px5(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_46,axiom,
( ra_Px6(Eq_y_0,Eq_y_1)
| ~ ra_Px6(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_47,axiom,
( ra_Px7(Eq_y_0,Eq_y_1)
| ~ ra_Px7(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_48,axiom,
( rinvR(Eq_y_0,Eq_y_1)
| ~ rinvR(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_49,axiom,
( rr(Eq_y_0,Eq_y_1)
| ~ rr(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_50,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_51,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_52,axiom,
( sP0(Eq_y_0)
| ~ sP0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_53,axiom,
( sP1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_54,axiom,
( sP2(Eq_y_0)
| ~ sP2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_55,axiom,
( sP3(Eq_y_0)
| ~ sP3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_56,axiom,
( sP4(Eq_y_0)
| ~ sP4(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_57,axiom,
( sP5(Eq_y_0)
| ~ sP5(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 : KRS108+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 : n003.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 12:14:13 UTC 2026
% 0.09/0.37 % CPUTime :
% 75.05/75.34 % SZS status Unsatisfiable for theBenchmark
% 75.05/75.34 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------