%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS112+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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:47:18 AM UTC 2026
% Result : Unsatisfiable 216.39s 216.70s
% Output : Proof 216.49s
% 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(cp_substitution_1,axiom,
! [A,B] :
( ( cp(A)
& A = B )
=> cp(B) ),
file('theBenchmark.p',cp_substitution_1) ).
fof(cpxcomp_substitution_1,axiom,
! [A,B] :
( ( cpxcomp(A)
& A = B )
=> cpxcomp(B) ),
file('theBenchmark.p',cpxcomp_substitution_1) ).
fof(ra_Px1_substitution_1,axiom,
! [A,B,C] :
( ( ra_Px1(A,C)
& A = B )
=> ra_Px1(B,C) ),
file('theBenchmark.p',ra_Px1_substitution_1) ).
fof(ra_Px1_substitution_2,axiom,
! [A,B,C] :
( ( ra_Px1(C,A)
& A = B )
=> ra_Px1(C,B) ),
file('theBenchmark.p',ra_Px1_substitution_2) ).
fof(rf_substitution_1,axiom,
! [A,B,C] :
( ( rf(A,C)
& A = B )
=> rf(B,C) ),
file('theBenchmark.p',rf_substitution_1) ).
fof(rf_substitution_2,axiom,
! [A,B,C] :
( ( rf(C,A)
& A = B )
=> rf(C,B) ),
file('theBenchmark.p',rf_substitution_2) ).
fof(rf1_substitution_1,axiom,
! [A,B,C] :
( ( rf1(A,C)
& A = B )
=> rf1(B,C) ),
file('theBenchmark.p',rf1_substitution_1) ).
fof(rf1_substitution_2,axiom,
! [A,B,C] :
( ( rf1(C,A)
& A = B )
=> rf1(C,B) ),
file('theBenchmark.p',rf1_substitution_2) ).
fof(rinvF_substitution_1,axiom,
! [A,B,C] :
( ( rinvF(A,C)
& A = B )
=> rinvF(B,C) ),
file('theBenchmark.p',rinvF_substitution_1) ).
fof(rinvF_substitution_2,axiom,
! [A,B,C] :
( ( rinvF(C,A)
& A = B )
=> rinvF(C,B) ),
file('theBenchmark.p',rinvF_substitution_2) ).
fof(rinvF1_substitution_1,axiom,
! [A,B,C] :
( ( rinvF1(A,C)
& A = B )
=> rinvF1(B,C) ),
file('theBenchmark.p',rinvF1_substitution_1) ).
fof(rinvF1_substitution_2,axiom,
! [A,B,C] :
( ( rinvF1(C,A)
& A = B )
=> rinvF1(C,B) ),
file('theBenchmark.p',rinvF1_substitution_2) ).
fof(rinvS_substitution_1,axiom,
! [A,B,C] :
( ( rinvS(A,C)
& A = B )
=> rinvS(B,C) ),
file('theBenchmark.p',rinvS_substitution_1) ).
fof(rinvS_substitution_2,axiom,
! [A,B,C] :
( ( rinvS(C,A)
& A = B )
=> rinvS(C,B) ),
file('theBenchmark.p',rinvS_substitution_2) ).
fof(rs_substitution_1,axiom,
! [A,B,C] :
( ( rs(A,C)
& A = B )
=> rs(B,C) ),
file('theBenchmark.p',rs_substitution_1) ).
fof(rs_substitution_2,axiom,
! [A,B,C] :
( ( rs(C,A)
& A = B )
=> rs(C,B) ),
file('theBenchmark.p',rs_substitution_2) ).
fof(xsd_integer_substitution_1,axiom,
! [A,B] :
( ( xsd_integer(A)
& A = B )
=> xsd_integer(B) ),
file('theBenchmark.p',xsd_integer_substitution_1) ).
fof(xsd_string_substitution_1,axiom,
! [A,B] :
( ( xsd_string(A)
& A = B )
=> xsd_string(B) ),
file('theBenchmark.p',xsd_string_substitution_1) ).
fof(axiom_0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( ca_Ax2(Y)
& rf1(X,Y) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( ca_Ax2(X)
<=> ( ! [Y] :
( rinvF1(X,Y)
=> ca_Vx3(Y) )
& cpxcomp(X) ) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( cowlThing(Y)
& rs(X,Y) ) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X,Y,Z] :
( ( rf(X,Z)
& rf(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X,Y,Z] :
( ( rf1(X,Z)
& rf1(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X,Y] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X,Y,Z] :
( ( rs(X,Z)
& rs(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
cUnsatisfiable(i2003_11_14_17_21_19256),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('theBenchmark.p',axiom_15) ).
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_8,U_9] :
( 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] :
( cp(B)
| ~ cp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp_substitution_1]) ).
fof(f_6_2,plain,
! [U_11,U_10] :
( cp(U_10)
| ~ cp(U_11)
| U_11 != U_10 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_10,U_11] :
( cp(U_10)
| ~ cp(U_11)
| U_11 != U_10 ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( cp(U_10)
| ~ cp(U_11)
| U_11 != U_10 ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [A,B] :
( cpxcomp(B)
| ~ cpxcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cpxcomp_substitution_1]) ).
fof(f_7_2,plain,
! [U_13,U_12] :
( cpxcomp(U_12)
| ~ cpxcomp(U_13)
| U_13 != U_12 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_12,U_13] :
( cpxcomp(U_12)
| ~ cpxcomp(U_13)
| U_13 != U_12 ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( cpxcomp(U_12)
| ~ cpxcomp(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_15,U_16,U_14] :
( 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_18,U_17,U_19] :
( 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_20,U_21,U_22] :
( 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] :
( rf1(B,C)
| ~ rf1(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rf1_substitution_1]) ).
fof(f_12_2,plain,
! [U_28,U_27,U_26] :
( rf1(U_27,U_26)
| ~ rf1(U_28,U_26)
| U_28 != U_27 ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_27,U_26,U_28] :
( rf1(U_27,U_26)
| ~ rf1(U_28,U_26)
| U_28 != U_27 ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( rf1(U_27,U_26)
| ~ rf1(U_28,U_26)
| U_28 != U_27 ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [A,B,C] :
( rf1(C,B)
| ~ rf1(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rf1_substitution_2]) ).
fof(f_13_2,plain,
! [U_31,U_30,U_29] :
( rf1(U_29,U_30)
| ~ rf1(U_29,U_31)
| U_31 != U_30 ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_31,U_30,U_29] :
( rf1(U_29,U_30)
| ~ rf1(U_29,U_31)
| U_31 != U_30 ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( rf1(U_29,U_30)
| ~ rf1(U_29,U_31)
| U_31 != U_30 ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [A,B,C] :
( rinvF(B,C)
| ~ rinvF(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvF_substitution_1]) ).
fof(f_14_2,plain,
! [U_34,U_33,U_32] :
( rinvF(U_33,U_32)
| ~ rinvF(U_34,U_32)
| U_34 != U_33 ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_34,U_32,U_33] :
( rinvF(U_33,U_32)
| ~ rinvF(U_34,U_32)
| U_34 != U_33 ),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
( rinvF(U_33,U_32)
| ~ rinvF(U_34,U_32)
| U_34 != U_33 ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [A,B,C] :
( rinvF(C,B)
| ~ rinvF(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvF_substitution_2]) ).
fof(f_15_2,plain,
! [U_37,U_36,U_35] :
( rinvF(U_35,U_36)
| ~ rinvF(U_35,U_37)
| U_37 != U_36 ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_37,U_35,U_36] :
( rinvF(U_35,U_36)
| ~ rinvF(U_35,U_37)
| U_37 != U_36 ),
inference(definitional_conversion,[status(esa)],[f_15_2]) ).
cnf(f_15_4,plain,
( rinvF(U_35,U_36)
| ~ rinvF(U_35,U_37)
| U_37 != U_36 ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [A,B,C] :
( rinvF1(B,C)
| ~ rinvF1(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvF1_substitution_1]) ).
fof(f_16_2,plain,
! [U_40,U_39,U_38] :
( rinvF1(U_39,U_38)
| ~ rinvF1(U_40,U_38)
| U_40 != U_39 ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_40,U_38,U_39] :
( rinvF1(U_39,U_38)
| ~ rinvF1(U_40,U_38)
| U_40 != U_39 ),
inference(definitional_conversion,[status(esa)],[f_16_2]) ).
cnf(f_16_4,plain,
( rinvF1(U_39,U_38)
| ~ rinvF1(U_40,U_38)
| U_40 != U_39 ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [A,B,C] :
( rinvF1(C,B)
| ~ rinvF1(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvF1_substitution_2]) ).
fof(f_17_2,plain,
! [U_43,U_42,U_41] :
( rinvF1(U_41,U_42)
| ~ rinvF1(U_41,U_43)
| U_43 != U_42 ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_43,U_41,U_42] :
( rinvF1(U_41,U_42)
| ~ rinvF1(U_41,U_43)
| U_43 != U_42 ),
inference(definitional_conversion,[status(esa)],[f_17_2]) ).
cnf(f_17_4,plain,
( rinvF1(U_41,U_42)
| ~ rinvF1(U_41,U_43)
| U_43 != U_42 ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
! [A,B,C] :
( rinvS(B,C)
| ~ rinvS(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvS_substitution_1]) ).
fof(f_18_2,plain,
! [U_46,U_45,U_44] :
( rinvS(U_45,U_44)
| ~ rinvS(U_46,U_44)
| U_46 != U_45 ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_46,U_44,U_45] :
( rinvS(U_45,U_44)
| ~ rinvS(U_46,U_44)
| U_46 != U_45 ),
inference(definitional_conversion,[status(esa)],[f_18_2]) ).
cnf(f_18_4,plain,
( rinvS(U_45,U_44)
| ~ rinvS(U_46,U_44)
| U_46 != U_45 ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
! [A,B,C] :
( rinvS(C,B)
| ~ rinvS(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvS_substitution_2]) ).
fof(f_19_2,plain,
! [U_49,U_48,U_47] :
( rinvS(U_47,U_48)
| ~ rinvS(U_47,U_49)
| U_49 != U_48 ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_49,U_47,U_48] :
( rinvS(U_47,U_48)
| ~ rinvS(U_47,U_49)
| U_49 != U_48 ),
inference(definitional_conversion,[status(esa)],[f_19_2]) ).
cnf(f_19_4,plain,
( rinvS(U_47,U_48)
| ~ rinvS(U_47,U_49)
| U_49 != U_48 ),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_20_1,plain,
! [A,B,C] :
( rs(B,C)
| ~ rs(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rs_substitution_1]) ).
fof(f_20_2,plain,
! [U_52,U_51,U_50] :
( rs(U_51,U_50)
| ~ rs(U_52,U_50)
| U_52 != U_51 ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_52,U_50,U_51] :
( rs(U_51,U_50)
| ~ rs(U_52,U_50)
| U_52 != U_51 ),
inference(definitional_conversion,[status(esa)],[f_20_2]) ).
cnf(f_20_4,plain,
( rs(U_51,U_50)
| ~ rs(U_52,U_50)
| U_52 != U_51 ),
inference(clausify,[status(thm)],[f_20_3]) ).
fof(f_21_1,plain,
! [A,B,C] :
( rs(C,B)
| ~ rs(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rs_substitution_2]) ).
fof(f_21_2,plain,
! [U_55,U_54,U_53] :
( rs(U_53,U_54)
| ~ rs(U_53,U_55)
| U_55 != U_54 ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_53,U_54,U_55] :
( rs(U_53,U_54)
| ~ rs(U_53,U_55)
| U_55 != U_54 ),
inference(definitional_conversion,[status(esa)],[f_21_2]) ).
cnf(f_21_4,plain,
( rs(U_53,U_54)
| ~ rs(U_53,U_55)
| U_55 != U_54 ),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_22_2,plain,
! [U_57,U_56] :
( xsd_integer(U_56)
| ~ xsd_integer(U_57)
| U_57 != U_56 ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
! [U_57,U_56] :
( xsd_integer(U_56)
| ~ xsd_integer(U_57)
| U_57 != U_56 ),
inference(definitional_conversion,[status(esa)],[f_22_2]) ).
cnf(f_22_4,plain,
( xsd_integer(U_56)
| ~ xsd_integer(U_57)
| U_57 != U_56 ),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_23_2,plain,
! [U_59,U_58] :
( xsd_string(U_58)
| ~ xsd_string(U_59)
| U_59 != U_58 ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_58,U_59] :
( xsd_string(U_58)
| ~ xsd_string(U_59)
| U_59 != U_58 ),
inference(definitional_conversion,[status(esa)],[f_23_2]) ).
cnf(f_23_4,plain,
( xsd_string(U_58)
| ~ xsd_string(U_59)
| U_59 != U_58 ),
inference(clausify,[status(thm)],[f_23_3]) ).
fof(f_24_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_24_2,plain,
! [U_60] :
( ~ cowlNothing(U_60)
& cowlThing(U_60) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
( ! [U_62] : ~ cowlNothing(U_62)
& ! [U_61] : cowlThing(U_61) ),
inference(miniscope,[status(thm)],[f_24_2]) ).
fof(f_24_4,plain,
( ! [U_62] : ~ cowlNothing(U_62)
& ! [U_61] : cowlThing(U_61) ),
inference(definitional_conversion,[status(esa)],[f_24_3]) ).
cnf(f_24_5,plain,
cowlThing(U_61),
inference(clausify,[status(thm)],[f_24_4]) ).
cnf(f_24_6,plain,
~ cowlNothing(U_62),
inference(clausify,[status(thm)],[f_24_4]) ).
fof(f_25_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_25_2,plain,
! [U_63] :
( ( xsd_string(U_63)
| xsd_integer(U_63) )
& ( ~ xsd_integer(U_63)
| ~ xsd_string(U_63) ) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
( ! [U_65] :
( xsd_string(U_65)
| xsd_integer(U_65) )
& ! [U_64] :
( ~ xsd_integer(U_64)
| ~ xsd_string(U_64) ) ),
inference(miniscope,[status(thm)],[f_25_2]) ).
fof(f_25_4,plain,
( ! [U_65] :
( xsd_string(U_65)
| xsd_integer(U_65) )
& ! [U_64] :
( ~ xsd_integer(U_64)
| ~ xsd_string(U_64) ) ),
inference(definitional_conversion,[status(esa)],[f_25_3]) ).
cnf(f_25_5,plain,
( ~ xsd_integer(U_64)
| ~ xsd_string(U_64) ),
inference(clausify,[status(thm)],[f_25_4]) ).
cnf(f_25_6,plain,
( xsd_string(U_65)
| xsd_integer(U_65) ),
inference(clausify,[status(thm)],[f_25_4]) ).
fof(f_26_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ! [Y] :
( ~ cp(Y)
| ~ rf(X,Y) )
| ! [Y] :
( ~ ca_Ax2(Y)
| ~ rf1(X,Y) ) )
& ( ( ? [Y] :
( cp(Y)
& rf(X,Y) )
& ? [Y] :
( ca_Ax2(Y)
& rf1(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_26_2,plain,
! [U_70] :
( ( cUnsatisfiable(U_70)
| ! [U_69] :
( ~ cp(U_69)
| ~ rf(U_70,U_69) )
| ! [U_68] :
( ~ ca_Ax2(U_68)
| ~ rf1(U_70,U_68) ) )
& ( ( ? [U_67] :
( cp(U_67)
& rf(U_70,U_67) )
& ? [U_66] :
( ca_Ax2(U_66)
& rf1(U_70,U_66) ) )
| ~ cUnsatisfiable(U_70) ) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
( ! [U_72] :
( cUnsatisfiable(U_72)
| ! [U_69] :
( ~ cp(U_69)
| ~ rf(U_72,U_69) )
| ! [U_68] :
( ~ ca_Ax2(U_68)
| ~ rf1(U_72,U_68) ) )
& ! [U_71] :
( ( ? [U_67] :
( cp(U_67)
& rf(U_71,U_67) )
& ? [U_66] :
( ca_Ax2(U_66)
& rf1(U_71,U_66) ) )
| ~ cUnsatisfiable(U_71) ) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
fof(f_26_4,plain,
( ! [U_72] :
( cUnsatisfiable(U_72)
| ! [U_69] :
( ~ cp(U_69)
| ~ rf(U_72,U_69) )
| ! [U_68] :
( ~ ca_Ax2(U_68)
| ~ rf1(U_72,U_68) ) )
& ! [U_71] :
( ( ? [U_67] :
( cp(U_67)
& rf(U_71,U_67) )
& ca_Ax2(sK1(U_71))
& rf1(U_71,sK1(U_71)) )
| ~ cUnsatisfiable(U_71) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_66,sK1(U_71))],[f_26_3]) ).
fof(f_26_5,plain,
( ! [U_72] :
( cUnsatisfiable(U_72)
| ! [U_69] :
( ~ cp(U_69)
| ~ rf(U_72,U_69) )
| ! [U_68] :
( ~ ca_Ax2(U_68)
| ~ rf1(U_72,U_68) ) )
& ! [U_71] :
( ( cp(sK2(U_71))
& rf(U_71,sK2(U_71))
& ca_Ax2(sK1(U_71))
& rf1(U_71,sK1(U_71)) )
| ~ cUnsatisfiable(U_71) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_67,sK2(U_71))],[f_26_4]) ).
fof(f_26_6,plain,
( ! [U_71] :
( cp(sK2(U_71))
| ~ sP0(U_71) )
& ! [U_71] :
( rf(U_71,sK2(U_71))
| ~ sP0(U_71) )
& ! [U_71] :
( ca_Ax2(sK1(U_71))
| ~ sP0(U_71) )
& ! [U_71] :
( rf1(U_71,sK1(U_71))
| ~ sP0(U_71) )
& ! [U_69,U_68,U_72] :
( cUnsatisfiable(U_72)
| ~ cp(U_69)
| ~ rf(U_72,U_69)
| ~ ca_Ax2(U_68)
| ~ rf1(U_72,U_68) )
& ! [U_71] :
( sP0(U_71)
| ~ cUnsatisfiable(U_71) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_26_5]) ).
cnf(f_26_7,plain,
( sP0(U_71)
| ~ cUnsatisfiable(U_71) ),
inference(clausify,[status(thm)],[f_26_6]) ).
cnf(f_26_8,plain,
( cUnsatisfiable(U_72)
| ~ cp(U_69)
| ~ rf(U_72,U_69)
| ~ ca_Ax2(U_68)
| ~ rf1(U_72,U_68) ),
inference(clausify,[status(thm)],[f_26_6]) ).
cnf(f_26_9,plain,
( rf1(U_71,sK1(U_71))
| ~ sP0(U_71) ),
inference(clausify,[status(thm)],[f_26_6]) ).
cnf(f_26_10,plain,
( ca_Ax2(sK1(U_71))
| ~ sP0(U_71) ),
inference(clausify,[status(thm)],[f_26_6]) ).
cnf(f_26_11,plain,
( rf(U_71,sK2(U_71))
| ~ sP0(U_71) ),
inference(clausify,[status(thm)],[f_26_6]) ).
cnf(f_26_12,plain,
( cp(sK2(U_71))
| ~ sP0(U_71) ),
inference(clausify,[status(thm)],[f_26_6]) ).
fof(f_27_1,plain,
! [X] :
( ( cp(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_27_2,plain,
! [U_75] :
( ( cp(U_75)
| ? [U_74] : ra_Px1(U_75,U_74) )
& ( ! [U_73] : ~ ra_Px1(U_75,U_73)
| ~ cp(U_75) ) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
( ! [U_77] :
( cp(U_77)
| ? [U_74] : ra_Px1(U_77,U_74) )
& ! [U_76] :
( ! [U_73] : ~ ra_Px1(U_76,U_73)
| ~ cp(U_76) ) ),
inference(miniscope,[status(thm)],[f_27_2]) ).
fof(f_27_4,plain,
( ! [U_77] :
( cp(U_77)
| ra_Px1(U_77,sK3(U_77)) )
& ! [U_76] :
( ! [U_73] : ~ ra_Px1(U_76,U_73)
| ~ cp(U_76) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_74,sK3(U_77))],[f_27_3]) ).
fof(f_27_5,plain,
( ! [U_77] :
( cp(U_77)
| ra_Px1(U_77,sK3(U_77)) )
& ! [U_76,U_73] :
( ~ ra_Px1(U_76,U_73)
| ~ cp(U_76) ) ),
inference(definitional_conversion,[status(esa)],[f_27_4]) ).
cnf(f_27_6,plain,
( ~ ra_Px1(U_76,U_73)
| ~ cp(U_76) ),
inference(clausify,[status(thm)],[f_27_5]) ).
cnf(f_27_7,plain,
( cp(U_77)
| ra_Px1(U_77,sK3(U_77)) ),
inference(clausify,[status(thm)],[f_27_5]) ).
fof(f_28_1,plain,
! [X] :
( ( cpxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cpxcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_28_2,plain,
! [U_80] :
( ( cpxcomp(U_80)
| ! [U_79] : ~ ra_Px1(U_80,U_79) )
& ( ? [U_78] : ra_Px1(U_80,U_78)
| ~ cpxcomp(U_80) ) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
( ! [U_82] :
( cpxcomp(U_82)
| ! [U_79] : ~ ra_Px1(U_82,U_79) )
& ! [U_81] :
( ? [U_78] : ra_Px1(U_81,U_78)
| ~ cpxcomp(U_81) ) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
fof(f_28_4,plain,
( ! [U_82] :
( cpxcomp(U_82)
| ! [U_79] : ~ ra_Px1(U_82,U_79) )
& ! [U_81] :
( ra_Px1(U_81,sK4(U_81))
| ~ cpxcomp(U_81) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_78,sK4(U_81))],[f_28_3]) ).
fof(f_28_5,plain,
( ! [U_79,U_82] :
( cpxcomp(U_82)
| ~ ra_Px1(U_82,U_79) )
& ! [U_81] :
( ra_Px1(U_81,sK4(U_81))
| ~ cpxcomp(U_81) ) ),
inference(definitional_conversion,[status(esa)],[f_28_4]) ).
cnf(f_28_6,plain,
( ra_Px1(U_81,sK4(U_81))
| ~ cpxcomp(U_81) ),
inference(clausify,[status(thm)],[f_28_5]) ).
cnf(f_28_7,plain,
( cpxcomp(U_82)
| ~ ra_Px1(U_82,U_79) ),
inference(clausify,[status(thm)],[f_28_5]) ).
fof(f_29_1,plain,
! [X] :
( ( ca_Ax2(X)
| ? [Y] :
( ~ ca_Vx3(Y)
& rinvF1(X,Y) )
| ~ cpxcomp(X) )
& ( ( ! [Y] :
( ca_Vx3(Y)
| ~ rinvF1(X,Y) )
& cpxcomp(X) )
| ~ ca_Ax2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_29_2,plain,
! [U_85] :
( ( ca_Ax2(U_85)
| ? [U_84] :
( ~ ca_Vx3(U_84)
& rinvF1(U_85,U_84) )
| ~ cpxcomp(U_85) )
& ( ( ! [U_83] :
( ca_Vx3(U_83)
| ~ rinvF1(U_85,U_83) )
& cpxcomp(U_85) )
| ~ ca_Ax2(U_85) ) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( ! [U_87] :
( ca_Ax2(U_87)
| ? [U_84] :
( ~ ca_Vx3(U_84)
& rinvF1(U_87,U_84) )
| ~ cpxcomp(U_87) )
& ! [U_86] :
( ( ! [U_83] :
( ca_Vx3(U_83)
| ~ rinvF1(U_86,U_83) )
& cpxcomp(U_86) )
| ~ ca_Ax2(U_86) ) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
fof(f_29_4,plain,
( ! [U_87] :
( ca_Ax2(U_87)
| ( ~ ca_Vx3(sK5(U_87))
& rinvF1(U_87,sK5(U_87)) )
| ~ cpxcomp(U_87) )
& ! [U_86] :
( ( ! [U_83] :
( ca_Vx3(U_83)
| ~ rinvF1(U_86,U_83) )
& cpxcomp(U_86) )
| ~ ca_Ax2(U_86) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_84,sK5(U_87))],[f_29_3]) ).
fof(f_29_5,plain,
( ! [U_87] :
( ~ ca_Vx3(sK5(U_87))
| ~ sP2(U_87) )
& ! [U_87] :
( rinvF1(U_87,sK5(U_87))
| ~ sP2(U_87) )
& ! [U_83,U_86] :
( ca_Vx3(U_83)
| ~ rinvF1(U_86,U_83)
| ~ sP1(U_83,U_86) )
& ! [U_83,U_86] :
( cpxcomp(U_86)
| ~ sP1(U_83,U_86) )
& ! [U_87] :
( ca_Ax2(U_87)
| sP2(U_87)
| ~ cpxcomp(U_87) )
& ! [U_83,U_86] :
( sP1(U_83,U_86)
| ~ ca_Ax2(U_86) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1,sP2])],[f_29_4]) ).
cnf(f_29_6,plain,
( sP1(U_83,U_86)
| ~ ca_Ax2(U_86) ),
inference(clausify,[status(thm)],[f_29_5]) ).
cnf(f_29_7,plain,
( ca_Ax2(U_87)
| sP2(U_87)
| ~ cpxcomp(U_87) ),
inference(clausify,[status(thm)],[f_29_5]) ).
cnf(f_29_8,plain,
( cpxcomp(U_86)
| ~ sP1(U_83,U_86) ),
inference(clausify,[status(thm)],[f_29_5]) ).
cnf(f_29_9,plain,
( ca_Vx3(U_83)
| ~ rinvF1(U_86,U_83)
| ~ sP1(U_83,U_86) ),
inference(clausify,[status(thm)],[f_29_5]) ).
cnf(f_29_10,plain,
( rinvF1(U_87,sK5(U_87))
| ~ sP2(U_87) ),
inference(clausify,[status(thm)],[f_29_5]) ).
cnf(f_29_11,plain,
( ~ ca_Vx3(sK5(U_87))
| ~ sP2(U_87) ),
inference(clausify,[status(thm)],[f_29_5]) ).
fof(f_30_1,plain,
! [X] :
( ( ca_Vx3(X)
| ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) ) )
& ( ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
| ~ ca_Vx3(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_30_2,plain,
! [U_90] :
( ( ca_Vx3(U_90)
| ! [U_89] :
( ~ cowlThing(U_89)
| ~ rs(U_90,U_89) ) )
& ( ? [U_88] :
( cowlThing(U_88)
& rs(U_90,U_88) )
| ~ ca_Vx3(U_90) ) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( ! [U_92] :
( ca_Vx3(U_92)
| ! [U_89] :
( ~ cowlThing(U_89)
| ~ rs(U_92,U_89) ) )
& ! [U_91] :
( ? [U_88] :
( cowlThing(U_88)
& rs(U_91,U_88) )
| ~ ca_Vx3(U_91) ) ),
inference(miniscope,[status(thm)],[f_30_2]) ).
fof(f_30_4,plain,
( ! [U_92] :
( ca_Vx3(U_92)
| ! [U_89] :
( ~ cowlThing(U_89)
| ~ rs(U_92,U_89) ) )
& ! [U_91] :
( ( cowlThing(sK6(U_91))
& rs(U_91,sK6(U_91)) )
| ~ ca_Vx3(U_91) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_88,sK6(U_91))],[f_30_3]) ).
fof(f_30_5,plain,
( ! [U_91] :
( cowlThing(sK6(U_91))
| ~ sP3(U_91) )
& ! [U_91] :
( rs(U_91,sK6(U_91))
| ~ sP3(U_91) )
& ! [U_92,U_89] :
( ca_Vx3(U_92)
| ~ cowlThing(U_89)
| ~ rs(U_92,U_89) )
& ! [U_91] :
( sP3(U_91)
| ~ ca_Vx3(U_91) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_30_4]) ).
cnf(f_30_6,plain,
( sP3(U_91)
| ~ ca_Vx3(U_91) ),
inference(clausify,[status(thm)],[f_30_5]) ).
cnf(f_30_7,plain,
( ca_Vx3(U_92)
| ~ cowlThing(U_89)
| ~ rs(U_92,U_89) ),
inference(clausify,[status(thm)],[f_30_5]) ).
cnf(f_30_8,plain,
( rs(U_91,sK6(U_91))
| ~ sP3(U_91) ),
inference(clausify,[status(thm)],[f_30_5]) ).
cnf(f_30_9,plain,
( cowlThing(sK6(U_91))
| ~ sP3(U_91) ),
inference(clausify,[status(thm)],[f_30_5]) ).
fof(f_31_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf(X,Z)
| ~ rf(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_31_2,plain,
! [U_95,U_94,U_93] :
( U_94 = U_93
| ~ rf(U_95,U_93)
| ~ rf(U_95,U_94) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
! [U_93,U_94,U_95] :
( U_94 = U_93
| ~ rf(U_95,U_93)
| ~ rf(U_95,U_94) ),
inference(definitional_conversion,[status(esa)],[f_31_2]) ).
cnf(f_31_4,plain,
( U_94 = U_93
| ~ rf(U_95,U_93)
| ~ rf(U_95,U_94) ),
inference(clausify,[status(thm)],[f_31_3]) ).
fof(f_32_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_32_2,plain,
! [U_98,U_97,U_96] :
( U_97 = U_96
| ~ rf1(U_98,U_96)
| ~ rf1(U_98,U_97) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
! [U_96,U_97,U_98] :
( U_97 = U_96
| ~ rf1(U_98,U_96)
| ~ rf1(U_98,U_97) ),
inference(definitional_conversion,[status(esa)],[f_32_2]) ).
cnf(f_32_4,plain,
( U_97 = U_96
| ~ rf1(U_98,U_96)
| ~ rf1(U_98,U_97) ),
inference(clausify,[status(thm)],[f_32_3]) ).
fof(f_33_1,plain,
! [X,Y] :
( ( rinvF(X,Y)
| ~ rf(Y,X) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_33_2,plain,
! [U_100,U_99] :
( ( rinvF(U_100,U_99)
| ~ rf(U_99,U_100) )
& ( rf(U_99,U_100)
| ~ rinvF(U_100,U_99) ) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
( ! [U_104,U_102] :
( rinvF(U_104,U_102)
| ~ rf(U_102,U_104) )
& ! [U_103,U_101] :
( rf(U_101,U_103)
| ~ rinvF(U_103,U_101) ) ),
inference(miniscope,[status(thm)],[f_33_2]) ).
fof(f_33_4,plain,
( ! [U_104,U_102] :
( rinvF(U_104,U_102)
| ~ rf(U_102,U_104) )
& ! [U_101,U_103] :
( rf(U_101,U_103)
| ~ rinvF(U_103,U_101) ) ),
inference(definitional_conversion,[status(esa)],[f_33_3]) ).
cnf(f_33_5,plain,
( rf(U_101,U_103)
| ~ rinvF(U_103,U_101) ),
inference(clausify,[status(thm)],[f_33_4]) ).
cnf(f_33_6,plain,
( rinvF(U_104,U_102)
| ~ rf(U_102,U_104) ),
inference(clausify,[status(thm)],[f_33_4]) ).
fof(f_34_1,plain,
! [X,Y] :
( ( rinvF1(X,Y)
| ~ rf1(Y,X) )
& ( rf1(Y,X)
| ~ rinvF1(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_34_2,plain,
! [U_106,U_105] :
( ( rinvF1(U_106,U_105)
| ~ rf1(U_105,U_106) )
& ( rf1(U_105,U_106)
| ~ rinvF1(U_106,U_105) ) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
( ! [U_110,U_108] :
( rinvF1(U_110,U_108)
| ~ rf1(U_108,U_110) )
& ! [U_109,U_107] :
( rf1(U_107,U_109)
| ~ rinvF1(U_109,U_107) ) ),
inference(miniscope,[status(thm)],[f_34_2]) ).
fof(f_34_4,plain,
( ! [U_108,U_110] :
( rinvF1(U_110,U_108)
| ~ rf1(U_108,U_110) )
& ! [U_107,U_109] :
( rf1(U_107,U_109)
| ~ rinvF1(U_109,U_107) ) ),
inference(definitional_conversion,[status(esa)],[f_34_3]) ).
cnf(f_34_5,plain,
( rf1(U_107,U_109)
| ~ rinvF1(U_109,U_107) ),
inference(clausify,[status(thm)],[f_34_4]) ).
cnf(f_34_6,plain,
( rinvF1(U_110,U_108)
| ~ rf1(U_108,U_110) ),
inference(clausify,[status(thm)],[f_34_4]) ).
fof(f_35_1,plain,
! [X,Y] :
( ( rinvS(X,Y)
| ~ rs(Y,X) )
& ( rs(Y,X)
| ~ rinvS(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_35_2,plain,
! [U_112,U_111] :
( ( rinvS(U_112,U_111)
| ~ rs(U_111,U_112) )
& ( rs(U_111,U_112)
| ~ rinvS(U_112,U_111) ) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
( ! [U_116,U_114] :
( rinvS(U_116,U_114)
| ~ rs(U_114,U_116) )
& ! [U_115,U_113] :
( rs(U_113,U_115)
| ~ rinvS(U_115,U_113) ) ),
inference(miniscope,[status(thm)],[f_35_2]) ).
fof(f_35_4,plain,
( ! [U_116,U_114] :
( rinvS(U_116,U_114)
| ~ rs(U_114,U_116) )
& ! [U_113,U_115] :
( rs(U_113,U_115)
| ~ rinvS(U_115,U_113) ) ),
inference(definitional_conversion,[status(esa)],[f_35_3]) ).
cnf(f_35_5,plain,
( rs(U_113,U_115)
| ~ rinvS(U_115,U_113) ),
inference(clausify,[status(thm)],[f_35_4]) ).
cnf(f_35_6,plain,
( rinvS(U_116,U_114)
| ~ rs(U_114,U_116) ),
inference(clausify,[status(thm)],[f_35_4]) ).
fof(f_36_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rs(X,Z)
| ~ rs(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_36_2,plain,
! [U_119,U_118,U_117] :
( U_118 = U_117
| ~ rs(U_119,U_117)
| ~ rs(U_119,U_118) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
! [U_117,U_118,U_119] :
( U_118 = U_117
| ~ rs(U_119,U_117)
| ~ rs(U_119,U_118) ),
inference(definitional_conversion,[status(esa)],[f_36_2]) ).
cnf(f_36_4,plain,
( U_118 = U_117
| ~ rs(U_119,U_117)
| ~ rs(U_119,U_118) ),
inference(clausify,[status(thm)],[f_36_3]) ).
fof(f_37_1,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
fof(f_37_2,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(definitional_conversion,[status(esa)],[f_37_1]) ).
cnf(f_37_3,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
! [X,Y] :
( rf(X,Y)
| ~ rs(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
fof(f_38_2,plain,
! [U_121,U_120] :
( rf(U_121,U_120)
| ~ rs(U_121,U_120) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
! [U_120,U_121] :
( rf(U_121,U_120)
| ~ rs(U_121,U_120) ),
inference(definitional_conversion,[status(esa)],[f_38_2]) ).
cnf(f_38_4,plain,
( rf(U_121,U_120)
| ~ rs(U_121,U_120) ),
inference(clausify,[status(thm)],[f_38_3]) ).
fof(f_39_1,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rs(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_15]) ).
fof(f_39_2,plain,
! [U_123,U_122] :
( rf1(U_123,U_122)
| ~ rs(U_123,U_122) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
! [U_122,U_123] :
( rf1(U_123,U_122)
| ~ rs(U_123,U_122) ),
inference(definitional_conversion,[status(esa)],[f_39_2]) ).
cnf(f_39_4,plain,
( rf1(U_123,U_122)
| ~ rs(U_123,U_122) ),
inference(clausify,[status(thm)],[f_39_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,
( sK6(Eq_x_0) = sK6(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( cUnsatisfiable(Eq_y_0)
| ~ cUnsatisfiable(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( ca_Ax2(Eq_y_0)
| ~ ca_Ax2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( ca_Vx3(Eq_y_0)
| ~ ca_Vx3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( cp(Eq_y_0)
| ~ cp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( cpxcomp(Eq_y_0)
| ~ cpxcomp(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,
( 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_19,axiom,
( rf1(Eq_y_0,Eq_y_1)
| ~ rf1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_20,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_21,axiom,
( rinvF1(Eq_y_0,Eq_y_1)
| ~ rinvF1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_22,axiom,
( rinvS(Eq_y_0,Eq_y_1)
| ~ rinvS(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_23,axiom,
( rs(Eq_y_0,Eq_y_1)
| ~ rs(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_24,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_25,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_26,axiom,
( sP0(Eq_y_0)
| ~ sP0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_27,axiom,
( sP1(Eq_y_0,Eq_y_1)
| ~ sP1(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,
( sP2(Eq_y_0)
| ~ sP2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_29,axiom,
( sP3(Eq_y_0)
| ~ sP3(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 : KRS112+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 : n011.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 12:12:39 UTC 2026
% 0.09/0.36 % CPUTime :
% 216.39/216.70 % SZS status Unsatisfiable for theBenchmark
% 216.39/216.70 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------