%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS120+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 08:47:19 AM UTC 2026
% Result : Unsatisfiable 150.05s 150.40s
% Output : Proof 150.28s
% 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_Vx3_substitution_1,axiom,
! [A,B] :
( ( ca_Vx3(A)
& A = B )
=> ca_Vx3(B) ),
file('theBenchmark.p',ca_Vx3_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(cp1xcomp_substitution_1,axiom,
! [A,B] :
( ( cp1xcomp(A)
& A = B )
=> cp1xcomp(B) ),
file('theBenchmark.p',cp1xcomp_substitution_1) ).
fof(ra_Px1_substitution_1,axiom,
! [A,B,C] :
( ( ra_Px1(A,C)
& A = B )
=> ra_Px1(B,C) ),
file('theBenchmark.p',ra_Px1_substitution_1) ).
fof(ra_Px1_substitution_2,axiom,
! [A,B,C] :
( ( ra_Px1(C,A)
& A = B )
=> ra_Px1(C,B) ),
file('theBenchmark.p',ra_Px1_substitution_2) ).
fof(rf_substitution_1,axiom,
! [A,B,C] :
( ( rf(A,C)
& A = B )
=> rf(B,C) ),
file('theBenchmark.p',rf_substitution_1) ).
fof(rf_substitution_2,axiom,
! [A,B,C] :
( ( rf(C,A)
& A = B )
=> rf(C,B) ),
file('theBenchmark.p',rf_substitution_2) ).
fof(rinvF_substitution_1,axiom,
! [A,B,C] :
( ( rinvF(A,C)
& A = B )
=> rinvF(B,C) ),
file('theBenchmark.p',rinvF_substitution_1) ).
fof(rinvF_substitution_2,axiom,
! [A,B,C] :
( ( rinvF(C,A)
& A = B )
=> rinvF(C,B) ),
file('theBenchmark.p',rinvF_substitution_2) ).
fof(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)
<=> ? [Y] :
( ca_Ax2(Y)
& rf(X,Y) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cp1(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cp1xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( ca_Ax2(X)
<=> ( cp1(X)
& ? [Y] :
( ca_Vx3(Y)
& rinvF(X,Y) ) ) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( cp1xcomp(Y)
& rf(X,Y) ) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y1)
& rf(X,Y0) )
=> Y0 = Y1 ) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X,Y,Z] :
( ( rr(Y,Z)
& rr(X,Y) )
=> rr(X,Z) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_21_48796),
file('theBenchmark.p',axiom_11) ).
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_Vx3(B)
| ~ ca_Vx3(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_Vx3_substitution_1]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( ca_Vx3(U_4)
| ~ ca_Vx3(U_5)
| U_5 != U_4 ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_5,U_4] :
( ca_Vx3(U_4)
| ~ ca_Vx3(U_5)
| U_5 != U_4 ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( ca_Vx3(U_4)
| ~ ca_Vx3(U_5)
| U_5 != U_4 ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [A,B] :
( cowlNothing(B)
| ~ cowlNothing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlNothing_substitution_1]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( cowlNothing(U_6)
| ~ cowlNothing(U_7)
| U_7 != U_6 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_6,U_7] :
( cowlNothing(U_6)
| ~ cowlNothing(U_7)
| U_7 != U_6 ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( cowlNothing(U_6)
| ~ cowlNothing(U_7)
| U_7 != U_6 ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [A,B] :
( cowlThing(B)
| ~ cowlThing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlThing_substitution_1]) ).
fof(f_5_2,plain,
! [U_9,U_8] :
( cowlThing(U_8)
| ~ cowlThing(U_9)
| U_9 != U_8 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_9,U_8] :
( cowlThing(U_8)
| ~ cowlThing(U_9)
| U_9 != U_8 ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( cowlThing(U_8)
| ~ cowlThing(U_9)
| U_9 != U_8 ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [A,B] :
( cp1(B)
| ~ cp1(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp1_substitution_1]) ).
fof(f_6_2,plain,
! [U_11,U_10] :
( cp1(U_10)
| ~ cp1(U_11)
| U_11 != U_10 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_10,U_11] :
( cp1(U_10)
| ~ cp1(U_11)
| U_11 != U_10 ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( cp1(U_10)
| ~ cp1(U_11)
| U_11 != U_10 ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [A,B] :
( cp1xcomp(B)
| ~ cp1xcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp1xcomp_substitution_1]) ).
fof(f_7_2,plain,
! [U_13,U_12] :
( cp1xcomp(U_12)
| ~ cp1xcomp(U_13)
| U_13 != U_12 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_12,U_13] :
( cp1xcomp(U_12)
| ~ cp1xcomp(U_13)
| U_13 != U_12 ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( cp1xcomp(U_12)
| ~ cp1xcomp(U_13)
| U_13 != U_12 ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_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_8_2,plain,
! [U_16,U_15,U_14] :
( ra_Px1(U_15,U_14)
| ~ ra_Px1(U_16,U_14)
| U_16 != U_15 ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_16,U_14,U_15] :
( ra_Px1(U_15,U_14)
| ~ ra_Px1(U_16,U_14)
| U_16 != U_15 ),
inference(definitional_conversion,[status(esa)],[f_8_2]) ).
cnf(f_8_4,plain,
( ra_Px1(U_15,U_14)
| ~ ra_Px1(U_16,U_14)
| U_16 != U_15 ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_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_9_2,plain,
! [U_19,U_18,U_17] :
( ra_Px1(U_17,U_18)
| ~ ra_Px1(U_17,U_19)
| U_19 != U_18 ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_19,U_17,U_18] :
( ra_Px1(U_17,U_18)
| ~ ra_Px1(U_17,U_19)
| U_19 != U_18 ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( ra_Px1(U_17,U_18)
| ~ ra_Px1(U_17,U_19)
| U_19 != U_18 ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [A,B,C] :
( rf(B,C)
| ~ rf(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rf_substitution_1]) ).
fof(f_10_2,plain,
! [U_22,U_21,U_20] :
( rf(U_21,U_20)
| ~ rf(U_22,U_20)
| U_22 != U_21 ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_21,U_22,U_20] :
( rf(U_21,U_20)
| ~ rf(U_22,U_20)
| U_22 != U_21 ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( rf(U_21,U_20)
| ~ rf(U_22,U_20)
| U_22 != U_21 ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [A,B,C] :
( rf(C,B)
| ~ rf(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rf_substitution_2]) ).
fof(f_11_2,plain,
! [U_25,U_24,U_23] :
( rf(U_23,U_24)
| ~ rf(U_23,U_25)
| U_25 != U_24 ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_23,U_24,U_25] :
( rf(U_23,U_24)
| ~ rf(U_23,U_25)
| U_25 != U_24 ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( rf(U_23,U_24)
| ~ rf(U_23,U_25)
| U_25 != U_24 ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [A,B,C] :
( rinvF(B,C)
| ~ rinvF(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvF_substitution_1]) ).
fof(f_12_2,plain,
! [U_28,U_27,U_26] :
( rinvF(U_27,U_26)
| ~ rinvF(U_28,U_26)
| U_28 != U_27 ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_26,U_27,U_28] :
( rinvF(U_27,U_26)
| ~ rinvF(U_28,U_26)
| U_28 != U_27 ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( rinvF(U_27,U_26)
| ~ rinvF(U_28,U_26)
| U_28 != U_27 ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [A,B,C] :
( rinvF(C,B)
| ~ rinvF(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvF_substitution_2]) ).
fof(f_13_2,plain,
! [U_31,U_30,U_29] :
( rinvF(U_29,U_30)
| ~ rinvF(U_29,U_31)
| U_31 != U_30 ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_30,U_29,U_31] :
( rinvF(U_29,U_30)
| ~ rinvF(U_29,U_31)
| U_31 != U_30 ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( rinvF(U_29,U_30)
| ~ rinvF(U_29,U_31)
| U_31 != U_30 ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [A,B,C] :
( rinvR(B,C)
| ~ rinvR(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvR_substitution_1]) ).
fof(f_14_2,plain,
! [U_34,U_33,U_32] :
( rinvR(U_33,U_32)
| ~ rinvR(U_34,U_32)
| U_34 != U_33 ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_32,U_33,U_34] :
( rinvR(U_33,U_32)
| ~ rinvR(U_34,U_32)
| U_34 != U_33 ),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
( rinvR(U_33,U_32)
| ~ rinvR(U_34,U_32)
| U_34 != U_33 ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [A,B,C] :
( rinvR(C,B)
| ~ rinvR(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvR_substitution_2]) ).
fof(f_15_2,plain,
! [U_37,U_36,U_35] :
( rinvR(U_35,U_36)
| ~ rinvR(U_35,U_37)
| U_37 != U_36 ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_37,U_36,U_35] :
( rinvR(U_35,U_36)
| ~ rinvR(U_35,U_37)
| U_37 != U_36 ),
inference(definitional_conversion,[status(esa)],[f_15_2]) ).
cnf(f_15_4,plain,
( rinvR(U_35,U_36)
| ~ rinvR(U_35,U_37)
| U_37 != U_36 ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [A,B,C] :
( rr(B,C)
| ~ rr(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rr_substitution_1]) ).
fof(f_16_2,plain,
! [U_40,U_39,U_38] :
( rr(U_39,U_38)
| ~ rr(U_40,U_38)
| U_40 != U_39 ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_38,U_39,U_40] :
( rr(U_39,U_38)
| ~ rr(U_40,U_38)
| U_40 != U_39 ),
inference(definitional_conversion,[status(esa)],[f_16_2]) ).
cnf(f_16_4,plain,
( rr(U_39,U_38)
| ~ rr(U_40,U_38)
| U_40 != U_39 ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [A,B,C] :
( rr(C,B)
| ~ rr(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rr_substitution_2]) ).
fof(f_17_2,plain,
! [U_43,U_42,U_41] :
( rr(U_41,U_42)
| ~ rr(U_41,U_43)
| U_43 != U_42 ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_41,U_42,U_43] :
( rr(U_41,U_42)
| ~ rr(U_41,U_43)
| U_43 != U_42 ),
inference(definitional_conversion,[status(esa)],[f_17_2]) ).
cnf(f_17_4,plain,
( rr(U_41,U_42)
| ~ rr(U_41,U_43)
| U_43 != U_42 ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_18_2,plain,
! [U_45,U_44] :
( xsd_integer(U_44)
| ~ xsd_integer(U_45)
| U_45 != U_44 ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_45,U_44] :
( xsd_integer(U_44)
| ~ xsd_integer(U_45)
| U_45 != U_44 ),
inference(definitional_conversion,[status(esa)],[f_18_2]) ).
cnf(f_18_4,plain,
( xsd_integer(U_44)
| ~ xsd_integer(U_45)
| U_45 != U_44 ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_19_2,plain,
! [U_47,U_46] :
( xsd_string(U_46)
| ~ xsd_string(U_47)
| U_47 != U_46 ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_47,U_46] :
( xsd_string(U_46)
| ~ xsd_string(U_47)
| U_47 != U_46 ),
inference(definitional_conversion,[status(esa)],[f_19_2]) ).
cnf(f_19_4,plain,
( xsd_string(U_46)
| ~ xsd_string(U_47)
| U_47 != U_46 ),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_20_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_20_2,plain,
! [U_48] :
( ~ cowlNothing(U_48)
& cowlThing(U_48) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
( ! [U_50] : ~ cowlNothing(U_50)
& ! [U_49] : cowlThing(U_49) ),
inference(miniscope,[status(thm)],[f_20_2]) ).
fof(f_20_4,plain,
( ! [U_50] : ~ cowlNothing(U_50)
& ! [U_49] : cowlThing(U_49) ),
inference(definitional_conversion,[status(esa)],[f_20_3]) ).
cnf(f_20_5,plain,
cowlThing(U_49),
inference(clausify,[status(thm)],[f_20_4]) ).
cnf(f_20_6,plain,
~ cowlNothing(U_50),
inference(clausify,[status(thm)],[f_20_4]) ).
fof(f_21_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_21_2,plain,
! [U_51] :
( ( xsd_string(U_51)
| xsd_integer(U_51) )
& ( ~ xsd_integer(U_51)
| ~ xsd_string(U_51) ) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
( ! [U_53] :
( xsd_string(U_53)
| xsd_integer(U_53) )
& ! [U_52] :
( ~ xsd_integer(U_52)
| ~ xsd_string(U_52) ) ),
inference(miniscope,[status(thm)],[f_21_2]) ).
fof(f_21_4,plain,
( ! [U_53] :
( xsd_string(U_53)
| xsd_integer(U_53) )
& ! [U_52] :
( ~ xsd_integer(U_52)
| ~ xsd_string(U_52) ) ),
inference(definitional_conversion,[status(esa)],[f_21_3]) ).
cnf(f_21_5,plain,
( ~ xsd_integer(U_52)
| ~ xsd_string(U_52) ),
inference(clausify,[status(thm)],[f_21_4]) ).
cnf(f_21_6,plain,
( xsd_string(U_53)
| xsd_integer(U_53) ),
inference(clausify,[status(thm)],[f_21_4]) ).
fof(f_22_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ! [Y] :
( ~ ca_Ax2(Y)
| ~ rf(X,Y) ) )
& ( ? [Y] :
( ca_Ax2(Y)
& rf(X,Y) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_22_2,plain,
! [U_56] :
( ( cUnsatisfiable(U_56)
| ! [U_55] :
( ~ ca_Ax2(U_55)
| ~ rf(U_56,U_55) ) )
& ( ? [U_54] :
( ca_Ax2(U_54)
& rf(U_56,U_54) )
| ~ cUnsatisfiable(U_56) ) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
( ! [U_58] :
( cUnsatisfiable(U_58)
| ! [U_55] :
( ~ ca_Ax2(U_55)
| ~ rf(U_58,U_55) ) )
& ! [U_57] :
( ? [U_54] :
( ca_Ax2(U_54)
& rf(U_57,U_54) )
| ~ cUnsatisfiable(U_57) ) ),
inference(miniscope,[status(thm)],[f_22_2]) ).
fof(f_22_4,plain,
( ! [U_58] :
( cUnsatisfiable(U_58)
| ! [U_55] :
( ~ ca_Ax2(U_55)
| ~ rf(U_58,U_55) ) )
& ! [U_57] :
( ( ca_Ax2(sK1(U_57))
& rf(U_57,sK1(U_57)) )
| ~ cUnsatisfiable(U_57) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_54,sK1(U_57))],[f_22_3]) ).
fof(f_22_5,plain,
( ! [U_57] :
( ca_Ax2(sK1(U_57))
| ~ sP0(U_57) )
& ! [U_57] :
( rf(U_57,sK1(U_57))
| ~ sP0(U_57) )
& ! [U_58,U_55] :
( cUnsatisfiable(U_58)
| ~ ca_Ax2(U_55)
| ~ rf(U_58,U_55) )
& ! [U_57] :
( sP0(U_57)
| ~ cUnsatisfiable(U_57) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_22_4]) ).
cnf(f_22_6,plain,
( sP0(U_57)
| ~ cUnsatisfiable(U_57) ),
inference(clausify,[status(thm)],[f_22_5]) ).
cnf(f_22_7,plain,
( cUnsatisfiable(U_58)
| ~ ca_Ax2(U_55)
| ~ rf(U_58,U_55) ),
inference(clausify,[status(thm)],[f_22_5]) ).
cnf(f_22_8,plain,
( rf(U_57,sK1(U_57))
| ~ sP0(U_57) ),
inference(clausify,[status(thm)],[f_22_5]) ).
cnf(f_22_9,plain,
( ca_Ax2(sK1(U_57))
| ~ sP0(U_57) ),
inference(clausify,[status(thm)],[f_22_5]) ).
fof(f_23_1,plain,
! [X] :
( ( cp1(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp1(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_23_2,plain,
! [U_61] :
( ( cp1(U_61)
| ? [U_60] : ra_Px1(U_61,U_60) )
& ( ! [U_59] : ~ ra_Px1(U_61,U_59)
| ~ cp1(U_61) ) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
( ! [U_63] :
( cp1(U_63)
| ? [U_60] : ra_Px1(U_63,U_60) )
& ! [U_62] :
( ! [U_59] : ~ ra_Px1(U_62,U_59)
| ~ cp1(U_62) ) ),
inference(miniscope,[status(thm)],[f_23_2]) ).
fof(f_23_4,plain,
( ! [U_63] :
( cp1(U_63)
| ra_Px1(U_63,sK2(U_63)) )
& ! [U_62] :
( ! [U_59] : ~ ra_Px1(U_62,U_59)
| ~ cp1(U_62) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_60,sK2(U_63))],[f_23_3]) ).
fof(f_23_5,plain,
( ! [U_63] :
( cp1(U_63)
| ra_Px1(U_63,sK2(U_63)) )
& ! [U_62,U_59] :
( ~ ra_Px1(U_62,U_59)
| ~ cp1(U_62) ) ),
inference(definitional_conversion,[status(esa)],[f_23_4]) ).
cnf(f_23_6,plain,
( ~ ra_Px1(U_62,U_59)
| ~ cp1(U_62) ),
inference(clausify,[status(thm)],[f_23_5]) ).
cnf(f_23_7,plain,
( cp1(U_63)
| ra_Px1(U_63,sK2(U_63)) ),
inference(clausify,[status(thm)],[f_23_5]) ).
fof(f_24_1,plain,
! [X] :
( ( cp1xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cp1xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_24_2,plain,
! [U_66] :
( ( cp1xcomp(U_66)
| ! [U_65] : ~ ra_Px1(U_66,U_65) )
& ( ? [U_64] : ra_Px1(U_66,U_64)
| ~ cp1xcomp(U_66) ) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
( ! [U_68] :
( cp1xcomp(U_68)
| ! [U_65] : ~ ra_Px1(U_68,U_65) )
& ! [U_67] :
( ? [U_64] : ra_Px1(U_67,U_64)
| ~ cp1xcomp(U_67) ) ),
inference(miniscope,[status(thm)],[f_24_2]) ).
fof(f_24_4,plain,
( ! [U_68] :
( cp1xcomp(U_68)
| ! [U_65] : ~ ra_Px1(U_68,U_65) )
& ! [U_67] :
( ra_Px1(U_67,sK3(U_67))
| ~ cp1xcomp(U_67) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_64,sK3(U_67))],[f_24_3]) ).
fof(f_24_5,plain,
( ! [U_68,U_65] :
( cp1xcomp(U_68)
| ~ ra_Px1(U_68,U_65) )
& ! [U_67] :
( ra_Px1(U_67,sK3(U_67))
| ~ cp1xcomp(U_67) ) ),
inference(definitional_conversion,[status(esa)],[f_24_4]) ).
cnf(f_24_6,plain,
( ra_Px1(U_67,sK3(U_67))
| ~ cp1xcomp(U_67) ),
inference(clausify,[status(thm)],[f_24_5]) ).
cnf(f_24_7,plain,
( cp1xcomp(U_68)
| ~ ra_Px1(U_68,U_65) ),
inference(clausify,[status(thm)],[f_24_5]) ).
fof(f_25_1,plain,
! [X] :
( ( ca_Ax2(X)
| ~ cp1(X)
| ! [Y] :
( ~ ca_Vx3(Y)
| ~ rinvF(X,Y) ) )
& ( ( cp1(X)
& ? [Y] :
( ca_Vx3(Y)
& rinvF(X,Y) ) )
| ~ ca_Ax2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_25_2,plain,
! [U_71] :
( ( ca_Ax2(U_71)
| ~ cp1(U_71)
| ! [U_70] :
( ~ ca_Vx3(U_70)
| ~ rinvF(U_71,U_70) ) )
& ( ( cp1(U_71)
& ? [U_69] :
( ca_Vx3(U_69)
& rinvF(U_71,U_69) ) )
| ~ ca_Ax2(U_71) ) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
( ! [U_73] :
( ca_Ax2(U_73)
| ~ cp1(U_73)
| ! [U_70] :
( ~ ca_Vx3(U_70)
| ~ rinvF(U_73,U_70) ) )
& ! [U_72] :
( ( cp1(U_72)
& ? [U_69] :
( ca_Vx3(U_69)
& rinvF(U_72,U_69) ) )
| ~ ca_Ax2(U_72) ) ),
inference(miniscope,[status(thm)],[f_25_2]) ).
fof(f_25_4,plain,
( ! [U_73] :
( ca_Ax2(U_73)
| ~ cp1(U_73)
| ! [U_70] :
( ~ ca_Vx3(U_70)
| ~ rinvF(U_73,U_70) ) )
& ! [U_72] :
( ( cp1(U_72)
& ca_Vx3(sK4(U_72))
& rinvF(U_72,sK4(U_72)) )
| ~ ca_Ax2(U_72) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_69,sK4(U_72))],[f_25_3]) ).
fof(f_25_5,plain,
( ! [U_72] :
( cp1(U_72)
| ~ sP1(U_72) )
& ! [U_72] :
( ca_Vx3(sK4(U_72))
| ~ sP1(U_72) )
& ! [U_72] :
( rinvF(U_72,sK4(U_72))
| ~ sP1(U_72) )
& ! [U_73,U_70] :
( ca_Ax2(U_73)
| ~ cp1(U_73)
| ~ ca_Vx3(U_70)
| ~ rinvF(U_73,U_70) )
& ! [U_72] :
( sP1(U_72)
| ~ ca_Ax2(U_72) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_25_4]) ).
cnf(f_25_6,plain,
( sP1(U_72)
| ~ ca_Ax2(U_72) ),
inference(clausify,[status(thm)],[f_25_5]) ).
cnf(f_25_7,plain,
( ca_Ax2(U_73)
| ~ cp1(U_73)
| ~ ca_Vx3(U_70)
| ~ rinvF(U_73,U_70) ),
inference(clausify,[status(thm)],[f_25_5]) ).
cnf(f_25_8,plain,
( rinvF(U_72,sK4(U_72))
| ~ sP1(U_72) ),
inference(clausify,[status(thm)],[f_25_5]) ).
cnf(f_25_9,plain,
( ca_Vx3(sK4(U_72))
| ~ sP1(U_72) ),
inference(clausify,[status(thm)],[f_25_5]) ).
cnf(f_25_10,plain,
( cp1(U_72)
| ~ sP1(U_72) ),
inference(clausify,[status(thm)],[f_25_5]) ).
fof(f_26_1,plain,
! [X] :
( ( ca_Vx3(X)
| ! [Y] :
( ~ cp1xcomp(Y)
| ~ rf(X,Y) ) )
& ( ? [Y] :
( cp1xcomp(Y)
& rf(X,Y) )
| ~ ca_Vx3(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_26_2,plain,
! [U_76] :
( ( ca_Vx3(U_76)
| ! [U_75] :
( ~ cp1xcomp(U_75)
| ~ rf(U_76,U_75) ) )
& ( ? [U_74] :
( cp1xcomp(U_74)
& rf(U_76,U_74) )
| ~ ca_Vx3(U_76) ) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
( ! [U_78] :
( ca_Vx3(U_78)
| ! [U_75] :
( ~ cp1xcomp(U_75)
| ~ rf(U_78,U_75) ) )
& ! [U_77] :
( ? [U_74] :
( cp1xcomp(U_74)
& rf(U_77,U_74) )
| ~ ca_Vx3(U_77) ) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
fof(f_26_4,plain,
( ! [U_78] :
( ca_Vx3(U_78)
| ! [U_75] :
( ~ cp1xcomp(U_75)
| ~ rf(U_78,U_75) ) )
& ! [U_77] :
( ( cp1xcomp(sK5(U_77))
& rf(U_77,sK5(U_77)) )
| ~ ca_Vx3(U_77) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_74,sK5(U_77))],[f_26_3]) ).
fof(f_26_5,plain,
( ! [U_77] :
( cp1xcomp(sK5(U_77))
| ~ sP2(U_77) )
& ! [U_77] :
( rf(U_77,sK5(U_77))
| ~ sP2(U_77) )
& ! [U_78,U_75] :
( ca_Vx3(U_78)
| ~ cp1xcomp(U_75)
| ~ rf(U_78,U_75) )
& ! [U_77] :
( sP2(U_77)
| ~ ca_Vx3(U_77) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_26_4]) ).
cnf(f_26_6,plain,
( sP2(U_77)
| ~ ca_Vx3(U_77) ),
inference(clausify,[status(thm)],[f_26_5]) ).
cnf(f_26_7,plain,
( ca_Vx3(U_78)
| ~ cp1xcomp(U_75)
| ~ rf(U_78,U_75) ),
inference(clausify,[status(thm)],[f_26_5]) ).
cnf(f_26_8,plain,
( rf(U_77,sK5(U_77))
| ~ sP2(U_77) ),
inference(clausify,[status(thm)],[f_26_5]) ).
cnf(f_26_9,plain,
( cp1xcomp(sK5(U_77))
| ~ sP2(U_77) ),
inference(clausify,[status(thm)],[f_26_5]) ).
fof(f_27_1,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rf(X,Y1)
| ~ rf(X,Y0) )
| ~ cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_27_2,plain,
! [U_81] :
( ! [U_80,U_79] :
( U_80 = U_79
| ~ rf(U_81,U_79)
| ~ rf(U_81,U_80) )
| ~ cowlThing(U_81) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
! [U_79,U_81,U_80] :
( U_80 = U_79
| ~ rf(U_81,U_79)
| ~ rf(U_81,U_80)
| ~ cowlThing(U_81) ),
inference(definitional_conversion,[status(esa)],[f_27_2]) ).
cnf(f_27_4,plain,
( U_80 = U_79
| ~ rf(U_81,U_79)
| ~ rf(U_81,U_80)
| ~ cowlThing(U_81) ),
inference(clausify,[status(thm)],[f_27_3]) ).
fof(f_28_1,plain,
! [X,Y] :
( ( rinvF(X,Y)
| ~ rf(Y,X) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_28_2,plain,
! [U_83,U_82] :
( ( rinvF(U_83,U_82)
| ~ rf(U_82,U_83) )
& ( rf(U_82,U_83)
| ~ rinvF(U_83,U_82) ) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
( ! [U_87,U_85] :
( rinvF(U_87,U_85)
| ~ rf(U_85,U_87) )
& ! [U_86,U_84] :
( rf(U_84,U_86)
| ~ rinvF(U_86,U_84) ) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
fof(f_28_4,plain,
( ! [U_87,U_85] :
( rinvF(U_87,U_85)
| ~ rf(U_85,U_87) )
& ! [U_84,U_86] :
( rf(U_84,U_86)
| ~ rinvF(U_86,U_84) ) ),
inference(definitional_conversion,[status(esa)],[f_28_3]) ).
cnf(f_28_5,plain,
( rf(U_84,U_86)
| ~ rinvF(U_86,U_84) ),
inference(clausify,[status(thm)],[f_28_4]) ).
cnf(f_28_6,plain,
( rinvF(U_87,U_85)
| ~ rf(U_85,U_87) ),
inference(clausify,[status(thm)],[f_28_4]) ).
fof(f_29_1,plain,
! [X,Y] :
( ( rinvR(X,Y)
| ~ rr(Y,X) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_29_2,plain,
! [U_89,U_88] :
( ( rinvR(U_89,U_88)
| ~ rr(U_88,U_89) )
& ( rr(U_88,U_89)
| ~ rinvR(U_89,U_88) ) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( ! [U_93,U_91] :
( rinvR(U_93,U_91)
| ~ rr(U_91,U_93) )
& ! [U_92,U_90] :
( rr(U_90,U_92)
| ~ rinvR(U_92,U_90) ) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
fof(f_29_4,plain,
( ! [U_91,U_93] :
( rinvR(U_93,U_91)
| ~ rr(U_91,U_93) )
& ! [U_90,U_92] :
( rr(U_90,U_92)
| ~ rinvR(U_92,U_90) ) ),
inference(definitional_conversion,[status(esa)],[f_29_3]) ).
cnf(f_29_5,plain,
( rr(U_90,U_92)
| ~ rinvR(U_92,U_90) ),
inference(clausify,[status(thm)],[f_29_4]) ).
cnf(f_29_6,plain,
( rinvR(U_93,U_91)
| ~ rr(U_91,U_93) ),
inference(clausify,[status(thm)],[f_29_4]) ).
fof(f_30_1,plain,
! [X,Y,Z] :
( rr(X,Z)
| ~ rr(Y,Z)
| ~ rr(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_30_2,plain,
! [U_96,U_95,U_94] :
( rr(U_96,U_94)
| ~ rr(U_95,U_94)
| ~ rr(U_96,U_95) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
! [U_94,U_96,U_95] :
( rr(U_96,U_94)
| ~ rr(U_95,U_94)
| ~ rr(U_96,U_95) ),
inference(definitional_conversion,[status(esa)],[f_30_2]) ).
cnf(f_30_4,plain,
( rr(U_96,U_94)
| ~ rr(U_95,U_94)
| ~ rr(U_96,U_95) ),
inference(clausify,[status(thm)],[f_30_3]) ).
fof(f_31_1,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_31_2,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(definitional_conversion,[status(esa)],[f_31_1]) ).
cnf(f_31_3,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(clausify,[status(thm)],[f_31_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,
( 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_Vx3(Eq_y_0)
| ~ ca_Vx3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( cp1(Eq_y_0)
| ~ cp1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( cp1xcomp(Eq_y_0)
| ~ cp1xcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,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_17,axiom,
( rf(Eq_y_0,Eq_y_1)
| ~ rf(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( rinvF(Eq_y_0,Eq_y_1)
| ~ rinvF(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,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_20,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_21,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_22,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_23,axiom,
( sP0(Eq_y_0)
| ~ sP0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_24,axiom,
( sP1(Eq_y_0)
| ~ sP1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_25,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 : KRS120+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_UNS_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n016.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 19 12:19:05 UTC 2026
% 0.07/0.35 % CPUTime :
% 150.05/150.40 % SZS status Unsatisfiable for theBenchmark
% 150.05/150.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------