%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS107+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 : n005.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 206.79s 207.05s
% Output : Proof 206.86s
% 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_Ax2_substitution_1,axiom,
! [A,B] :
( ( ca_Ax2(A)
& A = B )
=> ca_Ax2(B) ),
file('theBenchmark.p',ca_Ax2_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(cc1_substitution_1,axiom,
! [A,B] :
( ( cc1(A)
& A = B )
=> cc1(B) ),
file('theBenchmark.p',cc1_substitution_1) ).
fof(cc2_substitution_1,axiom,
! [A,B] :
( ( cc2(A)
& A = B )
=> cc2(B) ),
file('theBenchmark.p',cc2_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(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(rrx_substitution_1,axiom,
! [A,B,C] :
( ( rrx(A,C)
& A = B )
=> rrx(B,C) ),
file('theBenchmark.p',rrx_substitution_1) ).
fof(rrx_substitution_2,axiom,
! [A,B,C] :
( ( rrx(C,A)
& A = B )
=> rrx(C,B) ),
file('theBenchmark.p',rrx_substitution_2) ).
fof(rrx1_substitution_1,axiom,
! [A,B,C] :
( ( rrx1(A,C)
& A = B )
=> rrx1(B,C) ),
file('theBenchmark.p',rrx1_substitution_1) ).
fof(rrx1_substitution_2,axiom,
! [A,B,C] :
( ( rrx1(C,A)
& A = B )
=> rrx1(C,B) ),
file('theBenchmark.p',rrx1_substitution_2) ).
fof(rrx1a_substitution_1,axiom,
! [A,B,C] :
( ( rrx1a(A,C)
& A = B )
=> rrx1a(B,C) ),
file('theBenchmark.p',rrx1a_substitution_1) ).
fof(rrx1a_substitution_2,axiom,
! [A,B,C] :
( ( rrx1a(C,A)
& A = B )
=> rrx1a(C,B) ),
file('theBenchmark.p',rrx1a_substitution_2) ).
fof(rrx2_substitution_1,axiom,
! [A,B,C] :
( ( rrx2(A,C)
& A = B )
=> rrx2(B,C) ),
file('theBenchmark.p',rrx2_substitution_1) ).
fof(rrx2_substitution_2,axiom,
! [A,B,C] :
( ( rrx2(C,A)
& A = B )
=> rrx2(C,B) ),
file('theBenchmark.p',rrx2_substitution_2) ).
fof(rrx2a_substitution_1,axiom,
! [A,B,C] :
( ( rrx2a(A,C)
& A = B )
=> rrx2a(B,C) ),
file('theBenchmark.p',rrx2a_substitution_1) ).
fof(rrx2a_substitution_2,axiom,
! [A,B,C] :
( ( rrx2a(C,A)
& A = B )
=> rrx2a(C,B) ),
file('theBenchmark.p',rrx2a_substitution_2) ).
fof(rrx3_substitution_1,axiom,
! [A,B,C] :
( ( rrx3(A,C)
& A = B )
=> rrx3(B,C) ),
file('theBenchmark.p',rrx3_substitution_1) ).
fof(rrx3_substitution_2,axiom,
! [A,B,C] :
( ( rrx3(C,A)
& A = B )
=> rrx3(C,B) ),
file('theBenchmark.p',rrx3_substitution_2) ).
fof(rrx3a_substitution_1,axiom,
! [A,B,C] :
( ( rrx3a(A,C)
& A = B )
=> rrx3a(B,C) ),
file('theBenchmark.p',rrx3a_substitution_1) ).
fof(rrx3a_substitution_2,axiom,
! [A,B,C] :
( ( rrx3a(C,A)
& A = B )
=> rrx3a(C,B) ),
file('theBenchmark.p',rrx3a_substitution_2) ).
fof(rrx4_substitution_1,axiom,
! [A,B,C] :
( ( rrx4(A,C)
& A = B )
=> rrx4(B,C) ),
file('theBenchmark.p',rrx4_substitution_1) ).
fof(rrx4_substitution_2,axiom,
! [A,B,C] :
( ( rrx4(C,A)
& A = B )
=> rrx4(C,B) ),
file('theBenchmark.p',rrx4_substitution_2) ).
fof(rrx4a_substitution_1,axiom,
! [A,B,C] :
( ( rrx4a(A,C)
& A = B )
=> rrx4a(B,C) ),
file('theBenchmark.p',rrx4a_substitution_1) ).
fof(rrx4a_substitution_2,axiom,
! [A,B,C] :
( ( rrx4a(C,A)
& A = B )
=> rrx4a(C,B) ),
file('theBenchmark.p',rrx4a_substitution_2) ).
fof(rrxa_substitution_1,axiom,
! [A,B,C] :
( ( rrxa(A,C)
& A = B )
=> rrxa(B,C) ),
file('theBenchmark.p',rrxa_substitution_1) ).
fof(rrxa_substitution_2,axiom,
! [A,B,C] :
( ( rrxa(C,A)
& A = B )
=> rrxa(C,B) ),
file('theBenchmark.p',rrxa_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)
<=> ( ca_Cx1(X)
& ? [Y] :
( cc2(Y)
& rrx4(X,Y) )
& ? [Y] :
( cc1(Y)
& rrx3(X,Y) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( ca_Ax2(X)
<=> ( cc1(X)
& cc2(X) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( ca_Cx1(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( ca_Cx1xcomp(X)
<=> ? [Y] :
( ca_Ax2(Y)
& rrx3(X,Y) ) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( ca_Cx1xcomp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X,Y,Z] :
( ( rrx(X,Z)
& rrx(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X,Y,Z] :
( ( rrx3(X,Z)
& rrx3(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X,Y,Z] :
( ( rrx3a(X,Z)
& rrx3a(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X,Y,Z] :
( ( rrx4(X,Z)
& rrx4(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X,Y,Z] :
( ( rrx4a(X,Z)
& rrx4a(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
cUnsatisfiable(i2003_11_14_17_21_01226),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
! [X,Y] :
( rrx3(X,Y)
=> rrx1(X,Y) ),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
! [X,Y] :
( rrx3a(X,Y)
=> rrxa(X,Y) ),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
! [X,Y] :
( rrx4a(X,Y)
=> rrxa(X,Y) ),
file('theBenchmark.p',axiom_15) ).
fof(axiom_16,axiom,
! [X,Y] :
( rrx4(X,Y)
=> rrx2(X,Y) ),
file('theBenchmark.p',axiom_16) ).
fof(axiom_17,axiom,
! [X,Y] :
( rrx4(X,Y)
=> rrx(X,Y) ),
file('theBenchmark.p',axiom_17) ).
fof(axiom_18,axiom,
! [X,Y] :
( rrx3a(X,Y)
=> rrx1a(X,Y) ),
file('theBenchmark.p',axiom_18) ).
fof(axiom_19,axiom,
! [X,Y] :
( rrx4a(X,Y)
=> rrx2a(X,Y) ),
file('theBenchmark.p',axiom_19) ).
fof(axiom_20,axiom,
! [X,Y] :
( rrx3(X,Y)
=> rrx(X,Y) ),
file('theBenchmark.p',axiom_20) ).
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_Ax2(B)
| ~ ca_Ax2(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_Ax2_substitution_1]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( ca_Ax2(U_2)
| ~ ca_Ax2(U_3)
| U_3 != U_2 ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_3,U_2] :
( ca_Ax2(U_2)
| ~ ca_Ax2(U_3)
| U_3 != U_2 ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( ca_Ax2(U_2)
| ~ ca_Ax2(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_5,U_4] :
( 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_6,U_7] :
( 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] :
( cc1(B)
| ~ cc1(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cc1_substitution_1]) ).
fof(f_5_2,plain,
! [U_9,U_8] :
( cc1(U_8)
| ~ cc1(U_9)
| U_9 != U_8 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_9,U_8] :
( cc1(U_8)
| ~ cc1(U_9)
| U_9 != U_8 ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( cc1(U_8)
| ~ cc1(U_9)
| U_9 != U_8 ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [A,B] :
( cc2(B)
| ~ cc2(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cc2_substitution_1]) ).
fof(f_6_2,plain,
! [U_11,U_10] :
( cc2(U_10)
| ~ cc2(U_11)
| U_11 != U_10 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_11,U_10] :
( cc2(U_10)
| ~ cc2(U_11)
| U_11 != U_10 ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( cc2(U_10)
| ~ cc2(U_11)
| U_11 != U_10 ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [A,B] :
( cowlNothing(B)
| ~ cowlNothing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlNothing_substitution_1]) ).
fof(f_7_2,plain,
! [U_13,U_12] :
( cowlNothing(U_12)
| ~ cowlNothing(U_13)
| U_13 != U_12 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_13,U_12] :
( cowlNothing(U_12)
| ~ cowlNothing(U_13)
| U_13 != U_12 ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( cowlNothing(U_12)
| ~ cowlNothing(U_13)
| U_13 != U_12 ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [A,B] :
( cowlThing(B)
| ~ cowlThing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlThing_substitution_1]) ).
fof(f_8_2,plain,
! [U_15,U_14] :
( cowlThing(U_14)
| ~ cowlThing(U_15)
| U_15 != U_14 ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_14,U_15] :
( cowlThing(U_14)
| ~ cowlThing(U_15)
| U_15 != U_14 ),
inference(definitional_conversion,[status(esa)],[f_8_2]) ).
cnf(f_8_4,plain,
( cowlThing(U_14)
| ~ cowlThing(U_15)
| U_15 != U_14 ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_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_9_2,plain,
! [U_18,U_17,U_16] :
( ra_Px1(U_17,U_16)
| ~ ra_Px1(U_18,U_16)
| U_18 != U_17 ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_18,U_16,U_17] :
( ra_Px1(U_17,U_16)
| ~ ra_Px1(U_18,U_16)
| U_18 != U_17 ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( ra_Px1(U_17,U_16)
| ~ ra_Px1(U_18,U_16)
| U_18 != U_17 ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_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_10_2,plain,
! [U_21,U_20,U_19] :
( ra_Px1(U_19,U_20)
| ~ ra_Px1(U_19,U_21)
| U_21 != U_20 ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_21,U_19,U_20] :
( ra_Px1(U_19,U_20)
| ~ ra_Px1(U_19,U_21)
| U_21 != U_20 ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( ra_Px1(U_19,U_20)
| ~ ra_Px1(U_19,U_21)
| U_21 != U_20 ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [A,B,C] :
( rrx(B,C)
| ~ rrx(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx_substitution_1]) ).
fof(f_11_2,plain,
! [U_24,U_23,U_22] :
( rrx(U_23,U_22)
| ~ rrx(U_24,U_22)
| U_24 != U_23 ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_23,U_22,U_24] :
( rrx(U_23,U_22)
| ~ rrx(U_24,U_22)
| U_24 != U_23 ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( rrx(U_23,U_22)
| ~ rrx(U_24,U_22)
| U_24 != U_23 ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [A,B,C] :
( rrx(C,B)
| ~ rrx(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx_substitution_2]) ).
fof(f_12_2,plain,
! [U_27,U_26,U_25] :
( rrx(U_25,U_26)
| ~ rrx(U_25,U_27)
| U_27 != U_26 ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_27,U_26,U_25] :
( rrx(U_25,U_26)
| ~ rrx(U_25,U_27)
| U_27 != U_26 ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( rrx(U_25,U_26)
| ~ rrx(U_25,U_27)
| U_27 != U_26 ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [A,B,C] :
( rrx1(B,C)
| ~ rrx1(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx1_substitution_1]) ).
fof(f_13_2,plain,
! [U_30,U_29,U_28] :
( rrx1(U_29,U_28)
| ~ rrx1(U_30,U_28)
| U_30 != U_29 ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_30,U_29,U_28] :
( rrx1(U_29,U_28)
| ~ rrx1(U_30,U_28)
| U_30 != U_29 ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( rrx1(U_29,U_28)
| ~ rrx1(U_30,U_28)
| U_30 != U_29 ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [A,B,C] :
( rrx1(C,B)
| ~ rrx1(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx1_substitution_2]) ).
fof(f_14_2,plain,
! [U_33,U_32,U_31] :
( rrx1(U_31,U_32)
| ~ rrx1(U_31,U_33)
| U_33 != U_32 ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_33,U_32,U_31] :
( rrx1(U_31,U_32)
| ~ rrx1(U_31,U_33)
| U_33 != U_32 ),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
( rrx1(U_31,U_32)
| ~ rrx1(U_31,U_33)
| U_33 != U_32 ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [A,B,C] :
( rrx1a(B,C)
| ~ rrx1a(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx1a_substitution_1]) ).
fof(f_15_2,plain,
! [U_36,U_35,U_34] :
( rrx1a(U_35,U_34)
| ~ rrx1a(U_36,U_34)
| U_36 != U_35 ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_36,U_34,U_35] :
( rrx1a(U_35,U_34)
| ~ rrx1a(U_36,U_34)
| U_36 != U_35 ),
inference(definitional_conversion,[status(esa)],[f_15_2]) ).
cnf(f_15_4,plain,
( rrx1a(U_35,U_34)
| ~ rrx1a(U_36,U_34)
| U_36 != U_35 ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [A,B,C] :
( rrx1a(C,B)
| ~ rrx1a(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx1a_substitution_2]) ).
fof(f_16_2,plain,
! [U_39,U_38,U_37] :
( rrx1a(U_37,U_38)
| ~ rrx1a(U_37,U_39)
| U_39 != U_38 ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_39,U_37,U_38] :
( rrx1a(U_37,U_38)
| ~ rrx1a(U_37,U_39)
| U_39 != U_38 ),
inference(definitional_conversion,[status(esa)],[f_16_2]) ).
cnf(f_16_4,plain,
( rrx1a(U_37,U_38)
| ~ rrx1a(U_37,U_39)
| U_39 != U_38 ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [A,B,C] :
( rrx2(B,C)
| ~ rrx2(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx2_substitution_1]) ).
fof(f_17_2,plain,
! [U_42,U_41,U_40] :
( rrx2(U_41,U_40)
| ~ rrx2(U_42,U_40)
| U_42 != U_41 ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_42,U_41,U_40] :
( rrx2(U_41,U_40)
| ~ rrx2(U_42,U_40)
| U_42 != U_41 ),
inference(definitional_conversion,[status(esa)],[f_17_2]) ).
cnf(f_17_4,plain,
( rrx2(U_41,U_40)
| ~ rrx2(U_42,U_40)
| U_42 != U_41 ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
! [A,B,C] :
( rrx2(C,B)
| ~ rrx2(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx2_substitution_2]) ).
fof(f_18_2,plain,
! [U_45,U_44,U_43] :
( rrx2(U_43,U_44)
| ~ rrx2(U_43,U_45)
| U_45 != U_44 ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_45,U_44,U_43] :
( rrx2(U_43,U_44)
| ~ rrx2(U_43,U_45)
| U_45 != U_44 ),
inference(definitional_conversion,[status(esa)],[f_18_2]) ).
cnf(f_18_4,plain,
( rrx2(U_43,U_44)
| ~ rrx2(U_43,U_45)
| U_45 != U_44 ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
! [A,B,C] :
( rrx2a(B,C)
| ~ rrx2a(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx2a_substitution_1]) ).
fof(f_19_2,plain,
! [U_48,U_47,U_46] :
( rrx2a(U_47,U_46)
| ~ rrx2a(U_48,U_46)
| U_48 != U_47 ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_48,U_46,U_47] :
( rrx2a(U_47,U_46)
| ~ rrx2a(U_48,U_46)
| U_48 != U_47 ),
inference(definitional_conversion,[status(esa)],[f_19_2]) ).
cnf(f_19_4,plain,
( rrx2a(U_47,U_46)
| ~ rrx2a(U_48,U_46)
| U_48 != U_47 ),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_20_1,plain,
! [A,B,C] :
( rrx2a(C,B)
| ~ rrx2a(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx2a_substitution_2]) ).
fof(f_20_2,plain,
! [U_51,U_50,U_49] :
( rrx2a(U_49,U_50)
| ~ rrx2a(U_49,U_51)
| U_51 != U_50 ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_50,U_51,U_49] :
( rrx2a(U_49,U_50)
| ~ rrx2a(U_49,U_51)
| U_51 != U_50 ),
inference(definitional_conversion,[status(esa)],[f_20_2]) ).
cnf(f_20_4,plain,
( rrx2a(U_49,U_50)
| ~ rrx2a(U_49,U_51)
| U_51 != U_50 ),
inference(clausify,[status(thm)],[f_20_3]) ).
fof(f_21_1,plain,
! [A,B,C] :
( rrx3(B,C)
| ~ rrx3(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx3_substitution_1]) ).
fof(f_21_2,plain,
! [U_54,U_53,U_52] :
( rrx3(U_53,U_52)
| ~ rrx3(U_54,U_52)
| U_54 != U_53 ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_52,U_54,U_53] :
( rrx3(U_53,U_52)
| ~ rrx3(U_54,U_52)
| U_54 != U_53 ),
inference(definitional_conversion,[status(esa)],[f_21_2]) ).
cnf(f_21_4,plain,
( rrx3(U_53,U_52)
| ~ rrx3(U_54,U_52)
| U_54 != U_53 ),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_1,plain,
! [A,B,C] :
( rrx3(C,B)
| ~ rrx3(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx3_substitution_2]) ).
fof(f_22_2,plain,
! [U_57,U_56,U_55] :
( rrx3(U_55,U_56)
| ~ rrx3(U_55,U_57)
| U_57 != U_56 ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
! [U_55,U_56,U_57] :
( rrx3(U_55,U_56)
| ~ rrx3(U_55,U_57)
| U_57 != U_56 ),
inference(definitional_conversion,[status(esa)],[f_22_2]) ).
cnf(f_22_4,plain,
( rrx3(U_55,U_56)
| ~ rrx3(U_55,U_57)
| U_57 != U_56 ),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_1,plain,
! [A,B,C] :
( rrx3a(B,C)
| ~ rrx3a(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx3a_substitution_1]) ).
fof(f_23_2,plain,
! [U_60,U_59,U_58] :
( rrx3a(U_59,U_58)
| ~ rrx3a(U_60,U_58)
| U_60 != U_59 ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_58,U_59,U_60] :
( rrx3a(U_59,U_58)
| ~ rrx3a(U_60,U_58)
| U_60 != U_59 ),
inference(definitional_conversion,[status(esa)],[f_23_2]) ).
cnf(f_23_4,plain,
( rrx3a(U_59,U_58)
| ~ rrx3a(U_60,U_58)
| U_60 != U_59 ),
inference(clausify,[status(thm)],[f_23_3]) ).
fof(f_24_1,plain,
! [A,B,C] :
( rrx3a(C,B)
| ~ rrx3a(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx3a_substitution_2]) ).
fof(f_24_2,plain,
! [U_63,U_62,U_61] :
( rrx3a(U_61,U_62)
| ~ rrx3a(U_61,U_63)
| U_63 != U_62 ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
! [U_62,U_61,U_63] :
( rrx3a(U_61,U_62)
| ~ rrx3a(U_61,U_63)
| U_63 != U_62 ),
inference(definitional_conversion,[status(esa)],[f_24_2]) ).
cnf(f_24_4,plain,
( rrx3a(U_61,U_62)
| ~ rrx3a(U_61,U_63)
| U_63 != U_62 ),
inference(clausify,[status(thm)],[f_24_3]) ).
fof(f_25_1,plain,
! [A,B,C] :
( rrx4(B,C)
| ~ rrx4(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx4_substitution_1]) ).
fof(f_25_2,plain,
! [U_66,U_65,U_64] :
( rrx4(U_65,U_64)
| ~ rrx4(U_66,U_64)
| U_66 != U_65 ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
! [U_65,U_64,U_66] :
( rrx4(U_65,U_64)
| ~ rrx4(U_66,U_64)
| U_66 != U_65 ),
inference(definitional_conversion,[status(esa)],[f_25_2]) ).
cnf(f_25_4,plain,
( rrx4(U_65,U_64)
| ~ rrx4(U_66,U_64)
| U_66 != U_65 ),
inference(clausify,[status(thm)],[f_25_3]) ).
fof(f_26_1,plain,
! [A,B,C] :
( rrx4(C,B)
| ~ rrx4(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx4_substitution_2]) ).
fof(f_26_2,plain,
! [U_69,U_68,U_67] :
( rrx4(U_67,U_68)
| ~ rrx4(U_67,U_69)
| U_69 != U_68 ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
! [U_69,U_68,U_67] :
( rrx4(U_67,U_68)
| ~ rrx4(U_67,U_69)
| U_69 != U_68 ),
inference(definitional_conversion,[status(esa)],[f_26_2]) ).
cnf(f_26_4,plain,
( rrx4(U_67,U_68)
| ~ rrx4(U_67,U_69)
| U_69 != U_68 ),
inference(clausify,[status(thm)],[f_26_3]) ).
fof(f_27_1,plain,
! [A,B,C] :
( rrx4a(B,C)
| ~ rrx4a(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx4a_substitution_1]) ).
fof(f_27_2,plain,
! [U_72,U_71,U_70] :
( rrx4a(U_71,U_70)
| ~ rrx4a(U_72,U_70)
| U_72 != U_71 ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
! [U_72,U_70,U_71] :
( rrx4a(U_71,U_70)
| ~ rrx4a(U_72,U_70)
| U_72 != U_71 ),
inference(definitional_conversion,[status(esa)],[f_27_2]) ).
cnf(f_27_4,plain,
( rrx4a(U_71,U_70)
| ~ rrx4a(U_72,U_70)
| U_72 != U_71 ),
inference(clausify,[status(thm)],[f_27_3]) ).
fof(f_28_1,plain,
! [A,B,C] :
( rrx4a(C,B)
| ~ rrx4a(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rrx4a_substitution_2]) ).
fof(f_28_2,plain,
! [U_75,U_74,U_73] :
( rrx4a(U_73,U_74)
| ~ rrx4a(U_73,U_75)
| U_75 != U_74 ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
! [U_75,U_73,U_74] :
( rrx4a(U_73,U_74)
| ~ rrx4a(U_73,U_75)
| U_75 != U_74 ),
inference(definitional_conversion,[status(esa)],[f_28_2]) ).
cnf(f_28_4,plain,
( rrx4a(U_73,U_74)
| ~ rrx4a(U_73,U_75)
| U_75 != U_74 ),
inference(clausify,[status(thm)],[f_28_3]) ).
fof(f_29_1,plain,
! [A,B,C] :
( rrxa(B,C)
| ~ rrxa(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rrxa_substitution_1]) ).
fof(f_29_2,plain,
! [U_78,U_77,U_76] :
( rrxa(U_77,U_76)
| ~ rrxa(U_78,U_76)
| U_78 != U_77 ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
! [U_78,U_77,U_76] :
( rrxa(U_77,U_76)
| ~ rrxa(U_78,U_76)
| U_78 != U_77 ),
inference(definitional_conversion,[status(esa)],[f_29_2]) ).
cnf(f_29_4,plain,
( rrxa(U_77,U_76)
| ~ rrxa(U_78,U_76)
| U_78 != U_77 ),
inference(clausify,[status(thm)],[f_29_3]) ).
fof(f_30_1,plain,
! [A,B,C] :
( rrxa(C,B)
| ~ rrxa(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rrxa_substitution_2]) ).
fof(f_30_2,plain,
! [U_81,U_80,U_79] :
( rrxa(U_79,U_80)
| ~ rrxa(U_79,U_81)
| U_81 != U_80 ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
! [U_81,U_80,U_79] :
( rrxa(U_79,U_80)
| ~ rrxa(U_79,U_81)
| U_81 != U_80 ),
inference(definitional_conversion,[status(esa)],[f_30_2]) ).
cnf(f_30_4,plain,
( rrxa(U_79,U_80)
| ~ rrxa(U_79,U_81)
| U_81 != U_80 ),
inference(clausify,[status(thm)],[f_30_3]) ).
fof(f_31_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_31_2,plain,
! [U_83,U_82] :
( xsd_integer(U_82)
| ~ xsd_integer(U_83)
| U_83 != U_82 ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
! [U_83,U_82] :
( xsd_integer(U_82)
| ~ xsd_integer(U_83)
| U_83 != U_82 ),
inference(definitional_conversion,[status(esa)],[f_31_2]) ).
cnf(f_31_4,plain,
( xsd_integer(U_82)
| ~ xsd_integer(U_83)
| U_83 != U_82 ),
inference(clausify,[status(thm)],[f_31_3]) ).
fof(f_32_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_32_2,plain,
! [U_85,U_84] :
( xsd_string(U_84)
| ~ xsd_string(U_85)
| U_85 != U_84 ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
! [U_85,U_84] :
( xsd_string(U_84)
| ~ xsd_string(U_85)
| U_85 != U_84 ),
inference(definitional_conversion,[status(esa)],[f_32_2]) ).
cnf(f_32_4,plain,
( xsd_string(U_84)
| ~ xsd_string(U_85)
| U_85 != U_84 ),
inference(clausify,[status(thm)],[f_32_3]) ).
fof(f_33_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_33_2,plain,
! [U_86] :
( ~ cowlNothing(U_86)
& cowlThing(U_86) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
( ! [U_88] : ~ cowlNothing(U_88)
& ! [U_87] : cowlThing(U_87) ),
inference(miniscope,[status(thm)],[f_33_2]) ).
fof(f_33_4,plain,
( ! [U_88] : ~ cowlNothing(U_88)
& ! [U_87] : cowlThing(U_87) ),
inference(definitional_conversion,[status(esa)],[f_33_3]) ).
cnf(f_33_5,plain,
cowlThing(U_87),
inference(clausify,[status(thm)],[f_33_4]) ).
cnf(f_33_6,plain,
~ cowlNothing(U_88),
inference(clausify,[status(thm)],[f_33_4]) ).
fof(f_34_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_34_2,plain,
! [U_89] :
( ( xsd_string(U_89)
| xsd_integer(U_89) )
& ( ~ xsd_integer(U_89)
| ~ xsd_string(U_89) ) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
( ! [U_91] :
( xsd_string(U_91)
| xsd_integer(U_91) )
& ! [U_90] :
( ~ xsd_integer(U_90)
| ~ xsd_string(U_90) ) ),
inference(miniscope,[status(thm)],[f_34_2]) ).
fof(f_34_4,plain,
( ! [U_91] :
( xsd_string(U_91)
| xsd_integer(U_91) )
& ! [U_90] :
( ~ xsd_integer(U_90)
| ~ xsd_string(U_90) ) ),
inference(definitional_conversion,[status(esa)],[f_34_3]) ).
cnf(f_34_5,plain,
( ~ xsd_integer(U_90)
| ~ xsd_string(U_90) ),
inference(clausify,[status(thm)],[f_34_4]) ).
cnf(f_34_6,plain,
( xsd_string(U_91)
| xsd_integer(U_91) ),
inference(clausify,[status(thm)],[f_34_4]) ).
fof(f_35_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ~ ca_Cx1(X)
| ! [Y] :
( ~ cc2(Y)
| ~ rrx4(X,Y) )
| ! [Y] :
( ~ cc1(Y)
| ~ rrx3(X,Y) ) )
& ( ( ca_Cx1(X)
& ? [Y] :
( cc2(Y)
& rrx4(X,Y) )
& ? [Y] :
( cc1(Y)
& rrx3(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_35_2,plain,
! [U_96] :
( ( cUnsatisfiable(U_96)
| ~ ca_Cx1(U_96)
| ! [U_95] :
( ~ cc2(U_95)
| ~ rrx4(U_96,U_95) )
| ! [U_94] :
( ~ cc1(U_94)
| ~ rrx3(U_96,U_94) ) )
& ( ( ca_Cx1(U_96)
& ? [U_93] :
( cc2(U_93)
& rrx4(U_96,U_93) )
& ? [U_92] :
( cc1(U_92)
& rrx3(U_96,U_92) ) )
| ~ cUnsatisfiable(U_96) ) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
( ! [U_98] :
( cUnsatisfiable(U_98)
| ~ ca_Cx1(U_98)
| ! [U_95] :
( ~ cc2(U_95)
| ~ rrx4(U_98,U_95) )
| ! [U_94] :
( ~ cc1(U_94)
| ~ rrx3(U_98,U_94) ) )
& ! [U_97] :
( ( ca_Cx1(U_97)
& ? [U_93] :
( cc2(U_93)
& rrx4(U_97,U_93) )
& ? [U_92] :
( cc1(U_92)
& rrx3(U_97,U_92) ) )
| ~ cUnsatisfiable(U_97) ) ),
inference(miniscope,[status(thm)],[f_35_2]) ).
fof(f_35_4,plain,
( ! [U_98] :
( cUnsatisfiable(U_98)
| ~ ca_Cx1(U_98)
| ! [U_95] :
( ~ cc2(U_95)
| ~ rrx4(U_98,U_95) )
| ! [U_94] :
( ~ cc1(U_94)
| ~ rrx3(U_98,U_94) ) )
& ! [U_97] :
( ( ca_Cx1(U_97)
& ? [U_93] :
( cc2(U_93)
& rrx4(U_97,U_93) )
& cc1(sK1(U_97))
& rrx3(U_97,sK1(U_97)) )
| ~ cUnsatisfiable(U_97) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_92,sK1(U_97))],[f_35_3]) ).
fof(f_35_5,plain,
( ! [U_98] :
( cUnsatisfiable(U_98)
| ~ ca_Cx1(U_98)
| ! [U_95] :
( ~ cc2(U_95)
| ~ rrx4(U_98,U_95) )
| ! [U_94] :
( ~ cc1(U_94)
| ~ rrx3(U_98,U_94) ) )
& ! [U_97] :
( ( ca_Cx1(U_97)
& cc2(sK2(U_97))
& rrx4(U_97,sK2(U_97))
& cc1(sK1(U_97))
& rrx3(U_97,sK1(U_97)) )
| ~ cUnsatisfiable(U_97) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_93,sK2(U_97))],[f_35_4]) ).
fof(f_35_6,plain,
( ! [U_97] :
( ca_Cx1(U_97)
| ~ sP0(U_97) )
& ! [U_97] :
( cc2(sK2(U_97))
| ~ sP0(U_97) )
& ! [U_97] :
( rrx4(U_97,sK2(U_97))
| ~ sP0(U_97) )
& ! [U_97] :
( cc1(sK1(U_97))
| ~ sP0(U_97) )
& ! [U_97] :
( rrx3(U_97,sK1(U_97))
| ~ sP0(U_97) )
& ! [U_95,U_94,U_98] :
( cUnsatisfiable(U_98)
| ~ ca_Cx1(U_98)
| ~ cc2(U_95)
| ~ rrx4(U_98,U_95)
| ~ cc1(U_94)
| ~ rrx3(U_98,U_94) )
& ! [U_97] :
( sP0(U_97)
| ~ cUnsatisfiable(U_97) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_35_5]) ).
cnf(f_35_7,plain,
( sP0(U_97)
| ~ cUnsatisfiable(U_97) ),
inference(clausify,[status(thm)],[f_35_6]) ).
cnf(f_35_8,plain,
( cUnsatisfiable(U_98)
| ~ ca_Cx1(U_98)
| ~ cc2(U_95)
| ~ rrx4(U_98,U_95)
| ~ cc1(U_94)
| ~ rrx3(U_98,U_94) ),
inference(clausify,[status(thm)],[f_35_6]) ).
cnf(f_35_9,plain,
( rrx3(U_97,sK1(U_97))
| ~ sP0(U_97) ),
inference(clausify,[status(thm)],[f_35_6]) ).
cnf(f_35_10,plain,
( cc1(sK1(U_97))
| ~ sP0(U_97) ),
inference(clausify,[status(thm)],[f_35_6]) ).
cnf(f_35_11,plain,
( rrx4(U_97,sK2(U_97))
| ~ sP0(U_97) ),
inference(clausify,[status(thm)],[f_35_6]) ).
cnf(f_35_12,plain,
( cc2(sK2(U_97))
| ~ sP0(U_97) ),
inference(clausify,[status(thm)],[f_35_6]) ).
cnf(f_35_13,plain,
( ca_Cx1(U_97)
| ~ sP0(U_97) ),
inference(clausify,[status(thm)],[f_35_6]) ).
fof(f_36_1,plain,
! [X] :
( ( ca_Ax2(X)
| ~ cc1(X)
| ~ cc2(X) )
& ( ( cc1(X)
& cc2(X) )
| ~ ca_Ax2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_36_2,plain,
! [U_99] :
( ( ca_Ax2(U_99)
| ~ cc1(U_99)
| ~ cc2(U_99) )
& ( ( cc1(U_99)
& cc2(U_99) )
| ~ ca_Ax2(U_99) ) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
( ! [U_101] :
( ca_Ax2(U_101)
| ~ cc1(U_101)
| ~ cc2(U_101) )
& ! [U_100] :
( ( cc1(U_100)
& cc2(U_100) )
| ~ ca_Ax2(U_100) ) ),
inference(miniscope,[status(thm)],[f_36_2]) ).
fof(f_36_4,plain,
( ! [U_100] :
( cc1(U_100)
| ~ sP1(U_100) )
& ! [U_100] :
( cc2(U_100)
| ~ sP1(U_100) )
& ! [U_101] :
( ca_Ax2(U_101)
| ~ cc1(U_101)
| ~ cc2(U_101) )
& ! [U_100] :
( sP1(U_100)
| ~ ca_Ax2(U_100) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_36_3]) ).
cnf(f_36_5,plain,
( sP1(U_100)
| ~ ca_Ax2(U_100) ),
inference(clausify,[status(thm)],[f_36_4]) ).
cnf(f_36_6,plain,
( ca_Ax2(U_101)
| ~ cc1(U_101)
| ~ cc2(U_101) ),
inference(clausify,[status(thm)],[f_36_4]) ).
cnf(f_36_7,plain,
( cc2(U_100)
| ~ sP1(U_100) ),
inference(clausify,[status(thm)],[f_36_4]) ).
cnf(f_36_8,plain,
( cc1(U_100)
| ~ sP1(U_100) ),
inference(clausify,[status(thm)],[f_36_4]) ).
fof(f_37_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_4]) ).
fof(f_37_2,plain,
! [U_104] :
( ( ca_Cx1(U_104)
| ! [U_103] : ~ ra_Px1(U_104,U_103) )
& ( ? [U_102] : ra_Px1(U_104,U_102)
| ~ ca_Cx1(U_104) ) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
( ! [U_106] :
( ca_Cx1(U_106)
| ! [U_103] : ~ ra_Px1(U_106,U_103) )
& ! [U_105] :
( ? [U_102] : ra_Px1(U_105,U_102)
| ~ ca_Cx1(U_105) ) ),
inference(miniscope,[status(thm)],[f_37_2]) ).
fof(f_37_4,plain,
( ! [U_106] :
( ca_Cx1(U_106)
| ! [U_103] : ~ ra_Px1(U_106,U_103) )
& ! [U_105] :
( ra_Px1(U_105,sK3(U_105))
| ~ ca_Cx1(U_105) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_102,sK3(U_105))],[f_37_3]) ).
fof(f_37_5,plain,
( ! [U_106,U_103] :
( ca_Cx1(U_106)
| ~ ra_Px1(U_106,U_103) )
& ! [U_105] :
( ra_Px1(U_105,sK3(U_105))
| ~ ca_Cx1(U_105) ) ),
inference(definitional_conversion,[status(esa)],[f_37_4]) ).
cnf(f_37_6,plain,
( ra_Px1(U_105,sK3(U_105))
| ~ ca_Cx1(U_105) ),
inference(clausify,[status(thm)],[f_37_5]) ).
cnf(f_37_7,plain,
( ca_Cx1(U_106)
| ~ ra_Px1(U_106,U_103) ),
inference(clausify,[status(thm)],[f_37_5]) ).
fof(f_38_1,plain,
! [X] :
( ( ca_Cx1xcomp(X)
| ! [Y] :
( ~ ca_Ax2(Y)
| ~ rrx3(X,Y) ) )
& ( ? [Y] :
( ca_Ax2(Y)
& rrx3(X,Y) )
| ~ ca_Cx1xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_38_2,plain,
! [U_109] :
( ( ca_Cx1xcomp(U_109)
| ! [U_108] :
( ~ ca_Ax2(U_108)
| ~ rrx3(U_109,U_108) ) )
& ( ? [U_107] :
( ca_Ax2(U_107)
& rrx3(U_109,U_107) )
| ~ ca_Cx1xcomp(U_109) ) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
( ! [U_111] :
( ca_Cx1xcomp(U_111)
| ! [U_108] :
( ~ ca_Ax2(U_108)
| ~ rrx3(U_111,U_108) ) )
& ! [U_110] :
( ? [U_107] :
( ca_Ax2(U_107)
& rrx3(U_110,U_107) )
| ~ ca_Cx1xcomp(U_110) ) ),
inference(miniscope,[status(thm)],[f_38_2]) ).
fof(f_38_4,plain,
( ! [U_111] :
( ca_Cx1xcomp(U_111)
| ! [U_108] :
( ~ ca_Ax2(U_108)
| ~ rrx3(U_111,U_108) ) )
& ! [U_110] :
( ( ca_Ax2(sK4(U_110))
& rrx3(U_110,sK4(U_110)) )
| ~ ca_Cx1xcomp(U_110) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_107,sK4(U_110))],[f_38_3]) ).
fof(f_38_5,plain,
( ! [U_110] :
( ca_Ax2(sK4(U_110))
| ~ sP2(U_110) )
& ! [U_110] :
( rrx3(U_110,sK4(U_110))
| ~ sP2(U_110) )
& ! [U_108,U_111] :
( ca_Cx1xcomp(U_111)
| ~ ca_Ax2(U_108)
| ~ rrx3(U_111,U_108) )
& ! [U_110] :
( sP2(U_110)
| ~ ca_Cx1xcomp(U_110) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_38_4]) ).
cnf(f_38_6,plain,
( sP2(U_110)
| ~ ca_Cx1xcomp(U_110) ),
inference(clausify,[status(thm)],[f_38_5]) ).
cnf(f_38_7,plain,
( ca_Cx1xcomp(U_111)
| ~ ca_Ax2(U_108)
| ~ rrx3(U_111,U_108) ),
inference(clausify,[status(thm)],[f_38_5]) ).
cnf(f_38_8,plain,
( rrx3(U_110,sK4(U_110))
| ~ sP2(U_110) ),
inference(clausify,[status(thm)],[f_38_5]) ).
cnf(f_38_9,plain,
( ca_Ax2(sK4(U_110))
| ~ sP2(U_110) ),
inference(clausify,[status(thm)],[f_38_5]) ).
fof(f_39_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_6]) ).
fof(f_39_2,plain,
! [U_114] :
( ( ca_Cx1xcomp(U_114)
| ? [U_113] : ra_Px1(U_114,U_113) )
& ( ! [U_112] : ~ ra_Px1(U_114,U_112)
| ~ ca_Cx1xcomp(U_114) ) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
( ! [U_116] :
( ca_Cx1xcomp(U_116)
| ? [U_113] : ra_Px1(U_116,U_113) )
& ! [U_115] :
( ! [U_112] : ~ ra_Px1(U_115,U_112)
| ~ ca_Cx1xcomp(U_115) ) ),
inference(miniscope,[status(thm)],[f_39_2]) ).
fof(f_39_4,plain,
( ! [U_116] :
( ca_Cx1xcomp(U_116)
| ra_Px1(U_116,sK5(U_116)) )
& ! [U_115] :
( ! [U_112] : ~ ra_Px1(U_115,U_112)
| ~ ca_Cx1xcomp(U_115) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_113,sK5(U_116))],[f_39_3]) ).
fof(f_39_5,plain,
( ! [U_116] :
( ca_Cx1xcomp(U_116)
| ra_Px1(U_116,sK5(U_116)) )
& ! [U_115,U_112] :
( ~ ra_Px1(U_115,U_112)
| ~ ca_Cx1xcomp(U_115) ) ),
inference(definitional_conversion,[status(esa)],[f_39_4]) ).
cnf(f_39_6,plain,
( ~ ra_Px1(U_115,U_112)
| ~ ca_Cx1xcomp(U_115) ),
inference(clausify,[status(thm)],[f_39_5]) ).
cnf(f_39_7,plain,
( ca_Cx1xcomp(U_116)
| ra_Px1(U_116,sK5(U_116)) ),
inference(clausify,[status(thm)],[f_39_5]) ).
fof(f_40_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rrx(X,Z)
| ~ rrx(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_40_2,plain,
! [U_119,U_118,U_117] :
( U_118 = U_117
| ~ rrx(U_119,U_117)
| ~ rrx(U_119,U_118) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
! [U_118,U_117,U_119] :
( U_118 = U_117
| ~ rrx(U_119,U_117)
| ~ rrx(U_119,U_118) ),
inference(definitional_conversion,[status(esa)],[f_40_2]) ).
cnf(f_40_4,plain,
( U_118 = U_117
| ~ rrx(U_119,U_117)
| ~ rrx(U_119,U_118) ),
inference(clausify,[status(thm)],[f_40_3]) ).
fof(f_41_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rrx3(X,Z)
| ~ rrx3(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_41_2,plain,
! [U_122,U_121,U_120] :
( U_121 = U_120
| ~ rrx3(U_122,U_120)
| ~ rrx3(U_122,U_121) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
! [U_121,U_122,U_120] :
( U_121 = U_120
| ~ rrx3(U_122,U_120)
| ~ rrx3(U_122,U_121) ),
inference(definitional_conversion,[status(esa)],[f_41_2]) ).
cnf(f_41_4,plain,
( U_121 = U_120
| ~ rrx3(U_122,U_120)
| ~ rrx3(U_122,U_121) ),
inference(clausify,[status(thm)],[f_41_3]) ).
fof(f_42_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rrx3a(X,Z)
| ~ rrx3a(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_42_2,plain,
! [U_125,U_124,U_123] :
( U_124 = U_123
| ~ rrx3a(U_125,U_123)
| ~ rrx3a(U_125,U_124) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
! [U_124,U_125,U_123] :
( U_124 = U_123
| ~ rrx3a(U_125,U_123)
| ~ rrx3a(U_125,U_124) ),
inference(definitional_conversion,[status(esa)],[f_42_2]) ).
cnf(f_42_4,plain,
( U_124 = U_123
| ~ rrx3a(U_125,U_123)
| ~ rrx3a(U_125,U_124) ),
inference(clausify,[status(thm)],[f_42_3]) ).
fof(f_43_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rrx4(X,Z)
| ~ rrx4(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_43_2,plain,
! [U_128,U_127,U_126] :
( U_127 = U_126
| ~ rrx4(U_128,U_126)
| ~ rrx4(U_128,U_127) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
! [U_127,U_126,U_128] :
( U_127 = U_126
| ~ rrx4(U_128,U_126)
| ~ rrx4(U_128,U_127) ),
inference(definitional_conversion,[status(esa)],[f_43_2]) ).
cnf(f_43_4,plain,
( U_127 = U_126
| ~ rrx4(U_128,U_126)
| ~ rrx4(U_128,U_127) ),
inference(clausify,[status(thm)],[f_43_3]) ).
fof(f_44_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rrx4a(X,Z)
| ~ rrx4a(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_44_2,plain,
! [U_131,U_130,U_129] :
( U_130 = U_129
| ~ rrx4a(U_131,U_129)
| ~ rrx4a(U_131,U_130) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
fof(f_44_3,plain,
! [U_131,U_130,U_129] :
( U_130 = U_129
| ~ rrx4a(U_131,U_129)
| ~ rrx4a(U_131,U_130) ),
inference(definitional_conversion,[status(esa)],[f_44_2]) ).
cnf(f_44_4,plain,
( U_130 = U_129
| ~ rrx4a(U_131,U_129)
| ~ rrx4a(U_131,U_130) ),
inference(clausify,[status(thm)],[f_44_3]) ).
fof(f_45_1,plain,
cUnsatisfiable(i2003_11_14_17_21_01226),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_45_2,plain,
cUnsatisfiable(i2003_11_14_17_21_01226),
inference(definitional_conversion,[status(esa)],[f_45_1]) ).
cnf(f_45_3,plain,
cUnsatisfiable(i2003_11_14_17_21_01226),
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,plain,
! [X,Y] :
( rrx1(X,Y)
| ~ rrx3(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
fof(f_46_2,plain,
! [U_133,U_132] :
( rrx1(U_133,U_132)
| ~ rrx3(U_133,U_132) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
! [U_133,U_132] :
( rrx1(U_133,U_132)
| ~ rrx3(U_133,U_132) ),
inference(definitional_conversion,[status(esa)],[f_46_2]) ).
cnf(f_46_4,plain,
( rrx1(U_133,U_132)
| ~ rrx3(U_133,U_132) ),
inference(clausify,[status(thm)],[f_46_3]) ).
fof(f_47_1,plain,
! [X,Y] :
( rrxa(X,Y)
| ~ rrx3a(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
fof(f_47_2,plain,
! [U_135,U_134] :
( rrxa(U_135,U_134)
| ~ rrx3a(U_135,U_134) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
! [U_135,U_134] :
( rrxa(U_135,U_134)
| ~ rrx3a(U_135,U_134) ),
inference(definitional_conversion,[status(esa)],[f_47_2]) ).
cnf(f_47_4,plain,
( rrxa(U_135,U_134)
| ~ rrx3a(U_135,U_134) ),
inference(clausify,[status(thm)],[f_47_3]) ).
fof(f_48_1,plain,
! [X,Y] :
( rrxa(X,Y)
| ~ rrx4a(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_15]) ).
fof(f_48_2,plain,
! [U_137,U_136] :
( rrxa(U_137,U_136)
| ~ rrx4a(U_137,U_136) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
! [U_136,U_137] :
( rrxa(U_137,U_136)
| ~ rrx4a(U_137,U_136) ),
inference(definitional_conversion,[status(esa)],[f_48_2]) ).
cnf(f_48_4,plain,
( rrxa(U_137,U_136)
| ~ rrx4a(U_137,U_136) ),
inference(clausify,[status(thm)],[f_48_3]) ).
fof(f_49_1,plain,
! [X,Y] :
( rrx2(X,Y)
| ~ rrx4(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_16]) ).
fof(f_49_2,plain,
! [U_139,U_138] :
( rrx2(U_139,U_138)
| ~ rrx4(U_139,U_138) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
! [U_139,U_138] :
( rrx2(U_139,U_138)
| ~ rrx4(U_139,U_138) ),
inference(definitional_conversion,[status(esa)],[f_49_2]) ).
cnf(f_49_4,plain,
( rrx2(U_139,U_138)
| ~ rrx4(U_139,U_138) ),
inference(clausify,[status(thm)],[f_49_3]) ).
fof(f_50_1,plain,
! [X,Y] :
( rrx(X,Y)
| ~ rrx4(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_17]) ).
fof(f_50_2,plain,
! [U_141,U_140] :
( rrx(U_141,U_140)
| ~ rrx4(U_141,U_140) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
! [U_141,U_140] :
( rrx(U_141,U_140)
| ~ rrx4(U_141,U_140) ),
inference(definitional_conversion,[status(esa)],[f_50_2]) ).
cnf(f_50_4,plain,
( rrx(U_141,U_140)
| ~ rrx4(U_141,U_140) ),
inference(clausify,[status(thm)],[f_50_3]) ).
fof(f_51_1,plain,
! [X,Y] :
( rrx1a(X,Y)
| ~ rrx3a(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_18]) ).
fof(f_51_2,plain,
! [U_143,U_142] :
( rrx1a(U_143,U_142)
| ~ rrx3a(U_143,U_142) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
fof(f_51_3,plain,
! [U_142,U_143] :
( rrx1a(U_143,U_142)
| ~ rrx3a(U_143,U_142) ),
inference(definitional_conversion,[status(esa)],[f_51_2]) ).
cnf(f_51_4,plain,
( rrx1a(U_143,U_142)
| ~ rrx3a(U_143,U_142) ),
inference(clausify,[status(thm)],[f_51_3]) ).
fof(f_52_1,plain,
! [X,Y] :
( rrx2a(X,Y)
| ~ rrx4a(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_19]) ).
fof(f_52_2,plain,
! [U_145,U_144] :
( rrx2a(U_145,U_144)
| ~ rrx4a(U_145,U_144) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
fof(f_52_3,plain,
! [U_144,U_145] :
( rrx2a(U_145,U_144)
| ~ rrx4a(U_145,U_144) ),
inference(definitional_conversion,[status(esa)],[f_52_2]) ).
cnf(f_52_4,plain,
( rrx2a(U_145,U_144)
| ~ rrx4a(U_145,U_144) ),
inference(clausify,[status(thm)],[f_52_3]) ).
fof(f_53_1,plain,
! [X,Y] :
( rrx(X,Y)
| ~ rrx3(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_20]) ).
fof(f_53_2,plain,
! [U_147,U_146] :
( rrx(U_147,U_146)
| ~ rrx3(U_147,U_146) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
fof(f_53_3,plain,
! [U_147,U_146] :
( rrx(U_147,U_146)
| ~ rrx3(U_147,U_146) ),
inference(definitional_conversion,[status(esa)],[f_53_2]) ).
cnf(f_53_4,plain,
( rrx(U_147,U_146)
| ~ rrx3(U_147,U_146) ),
inference(clausify,[status(thm)],[f_53_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,
( ca_Ax2(Eq_y_0)
| ~ ca_Ax2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( ca_Cx1(Eq_y_0)
| ~ ca_Cx1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( ca_Cx1xcomp(Eq_y_0)
| ~ ca_Cx1xcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( cc1(Eq_y_0)
| ~ cc1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( cc2(Eq_y_0)
| ~ cc2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,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_18,axiom,
( rrx(Eq_y_0,Eq_y_1)
| ~ rrx(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,
( rrx1(Eq_y_0,Eq_y_1)
| ~ rrx1(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,
( rrx1a(Eq_y_0,Eq_y_1)
| ~ rrx1a(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,
( rrx2(Eq_y_0,Eq_y_1)
| ~ rrx2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_22,axiom,
( rrx2a(Eq_y_0,Eq_y_1)
| ~ rrx2a(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_23,axiom,
( rrx3(Eq_y_0,Eq_y_1)
| ~ rrx3(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_24,axiom,
( rrx3a(Eq_y_0,Eq_y_1)
| ~ rrx3a(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_25,axiom,
( rrx4(Eq_y_0,Eq_y_1)
| ~ rrx4(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_26,axiom,
( rrx4a(Eq_y_0,Eq_y_1)
| ~ rrx4a(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_27,axiom,
( rrxa(Eq_y_0,Eq_y_1)
| ~ rrxa(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_28,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_29,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_30,axiom,
( sP0(Eq_y_0)
| ~ sP0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_31,axiom,
( sP1(Eq_y_0)
| ~ sP1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_32,axiom,
( sP2(Eq_y_0)
| ~ sP2(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 : KRS107+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 : n005.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 12:12:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 206.79/207.05 % SZS status Unsatisfiable for theBenchmark
% 206.79/207.05 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------