%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS098+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 : 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 08:47:16 AM UTC 2026
% Result : Unsatisfiable 222.07s 252.88s
% Output : Proof 222.58s
% 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_substitution_1,axiom,
! [A,B] :
( ( ca(A)
& A = B )
=> ca(B) ),
file('theBenchmark.p',ca_substitution_1) ).
fof(cc_substitution_1,axiom,
! [A,B] :
( ( cc(A)
& A = B )
=> cc(B) ),
file('theBenchmark.p',cc_substitution_1) ).
fof(cd_substitution_1,axiom,
! [A,B] :
( ( cd(A)
& A = B )
=> cd(B) ),
file('theBenchmark.p',cd_substitution_1) ).
fof(ce_substitution_1,axiom,
! [A,B] :
( ( ce(A)
& A = B )
=> ce(B) ),
file('theBenchmark.p',ce_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(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(rr1_substitution_1,axiom,
! [A,B,C] :
( ( rr1(A,C)
& A = B )
=> rr1(B,C) ),
file('theBenchmark.p',rr1_substitution_1) ).
fof(rr1_substitution_2,axiom,
! [A,B,C] :
( ( rr1(C,A)
& A = B )
=> rr1(C,B) ),
file('theBenchmark.p',rr1_substitution_2) ).
fof(rr2_substitution_1,axiom,
! [A,B,C] :
( ( rr2(A,C)
& A = B )
=> rr2(B,C) ),
file('theBenchmark.p',rr2_substitution_1) ).
fof(rr2_substitution_2,axiom,
! [A,B,C] :
( ( rr2(C,A)
& A = B )
=> rr2(C,B) ),
file('theBenchmark.p',rr2_substitution_2) ).
fof(rr3_substitution_1,axiom,
! [A,B,C] :
( ( rr3(A,C)
& A = B )
=> rr3(B,C) ),
file('theBenchmark.p',rr3_substitution_1) ).
fof(rr3_substitution_2,axiom,
! [A,B,C] :
( ( rr3(C,A)
& A = B )
=> rr3(C,B) ),
file('theBenchmark.p',rr3_substitution_2) ).
fof(rt1_substitution_1,axiom,
! [A,B,C] :
( ( rt1(A,C)
& A = B )
=> rt1(B,C) ),
file('theBenchmark.p',rt1_substitution_1) ).
fof(rt1_substitution_2,axiom,
! [A,B,C] :
( ( rt1(C,A)
& A = B )
=> rt1(C,B) ),
file('theBenchmark.p',rt1_substitution_2) ).
fof(rt2_substitution_1,axiom,
! [A,B,C] :
( ( rt2(A,C)
& A = B )
=> rt2(B,C) ),
file('theBenchmark.p',rt2_substitution_1) ).
fof(rt2_substitution_2,axiom,
! [A,B,C] :
( ( rt2(C,A)
& A = B )
=> rt2(C,B) ),
file('theBenchmark.p',rt2_substitution_2) ).
fof(rt3_substitution_1,axiom,
! [A,B,C] :
( ( rt3(A,C)
& A = B )
=> rt3(B,C) ),
file('theBenchmark.p',rt3_substitution_1) ).
fof(rt3_substitution_2,axiom,
! [A,B,C] :
( ( rt3(C,A)
& A = B )
=> rt3(C,B) ),
file('theBenchmark.p',rt3_substitution_2) ).
fof(rtt_substitution_1,axiom,
! [A,B,C] :
( ( rtt(A,C)
& A = B )
=> rtt(B,C) ),
file('theBenchmark.p',rtt_substitution_1) ).
fof(rtt_substitution_2,axiom,
! [A,B,C] :
( ( rtt(C,A)
& A = B )
=> rtt(C,B) ),
file('theBenchmark.p',rtt_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] :
( ? [Z] :
( cc(Z)
& rt1(Y,Z) )
& ! [Z0,Z1] :
( ( rtt(Y,Z1)
& rtt(Y,Z0) )
=> Z0 = Z1 )
& rr1(X,Y) )
& ~ ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
& ? [Y] :
( ? [Z] :
( cd(Z)
& rt2(Y,Z) )
& ! [Z0,Z1] :
( ( rtt(Y,Z1)
& rtt(Y,Z0) )
=> Z0 = Z1 )
& rr2(X,Y) )
& ? [Y] :
( ! [Z0,Z1] :
( ( rtt(Y,Z1)
& rtt(Y,Z0) )
=> Z0 = Z1 )
& ? [Z] :
( ce(Z)
& rt3(Y,Z) )
& rr3(X,Y) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( ca(X)
<=> ( cd(X)
| cc(X) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
cUnsatisfiable(i2003_11_14_17_20_25524),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
~ ( cd(X)
& cc(X) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
~ ( cc(X)
& ce(X) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
~ ( cd(X)
& ce(X) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X,Y] :
( rr1(X,Y)
=> rr(X,Y) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X,Y] :
( rr2(X,Y)
=> rr(X,Y) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X,Y] :
( rt1(X,Y)
=> rtt(X,Y) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X,Y] :
( rt2(X,Y)
=> rtt(X,Y) ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X,Y] :
( rr3(X,Y)
=> rr(X,Y) ),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
! [X,Y] :
( rt3(X,Y)
=> rtt(X,Y) ),
file('theBenchmark.p',axiom_13) ).
fof(f_1_1,plain,
! [A,B] :
( cUnsatisfiable(B)
| ~ cUnsatisfiable(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cUnsatisfiable_substitution_1]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( cUnsatisfiable(U_0)
| ~ cUnsatisfiable(U_1)
| U_1 != U_0 ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_1,U_0] :
( cUnsatisfiable(U_0)
| ~ cUnsatisfiable(U_1)
| U_1 != U_0 ),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
( cUnsatisfiable(U_0)
| ~ cUnsatisfiable(U_1)
| U_1 != U_0 ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [A,B] :
( ca(B)
| ~ ca(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_substitution_1]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( ca(U_2)
| ~ ca(U_3)
| U_3 != U_2 ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_3,U_2] :
( ca(U_2)
| ~ ca(U_3)
| U_3 != U_2 ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( ca(U_2)
| ~ ca(U_3)
| U_3 != U_2 ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [A,B] :
( cc(B)
| ~ cc(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cc_substitution_1]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( cc(U_4)
| ~ cc(U_5)
| U_5 != U_4 ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_5,U_4] :
( cc(U_4)
| ~ cc(U_5)
| U_5 != U_4 ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( cc(U_4)
| ~ cc(U_5)
| U_5 != U_4 ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [A,B] :
( cd(B)
| ~ cd(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cd_substitution_1]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( cd(U_6)
| ~ cd(U_7)
| U_7 != U_6 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_6,U_7] :
( cd(U_6)
| ~ cd(U_7)
| U_7 != U_6 ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( cd(U_6)
| ~ cd(U_7)
| U_7 != U_6 ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [A,B] :
( ce(B)
| ~ ce(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ce_substitution_1]) ).
fof(f_5_2,plain,
! [U_9,U_8] :
( ce(U_8)
| ~ ce(U_9)
| U_9 != U_8 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_8,U_9] :
( ce(U_8)
| ~ ce(U_9)
| U_9 != U_8 ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( ce(U_8)
| ~ ce(U_9)
| U_9 != U_8 ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [A,B] :
( cowlNothing(B)
| ~ cowlNothing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlNothing_substitution_1]) ).
fof(f_6_2,plain,
! [U_11,U_10] :
( cowlNothing(U_10)
| ~ cowlNothing(U_11)
| U_11 != U_10 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_10,U_11] :
( cowlNothing(U_10)
| ~ cowlNothing(U_11)
| U_11 != U_10 ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( cowlNothing(U_10)
| ~ cowlNothing(U_11)
| U_11 != U_10 ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [A,B] :
( cowlThing(B)
| ~ cowlThing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlThing_substitution_1]) ).
fof(f_7_2,plain,
! [U_13,U_12] :
( cowlThing(U_12)
| ~ cowlThing(U_13)
| U_13 != U_12 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_12,U_13] :
( cowlThing(U_12)
| ~ cowlThing(U_13)
| U_13 != U_12 ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( cowlThing(U_12)
| ~ cowlThing(U_13)
| U_13 != U_12 ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [A,B,C] :
( rr(B,C)
| ~ rr(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rr_substitution_1]) ).
fof(f_8_2,plain,
! [U_16,U_15,U_14] :
( rr(U_15,U_14)
| ~ rr(U_16,U_14)
| U_16 != U_15 ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_14,U_15,U_16] :
( rr(U_15,U_14)
| ~ rr(U_16,U_14)
| U_16 != U_15 ),
inference(definitional_conversion,[status(esa)],[f_8_2]) ).
cnf(f_8_4,plain,
( rr(U_15,U_14)
| ~ rr(U_16,U_14)
| U_16 != U_15 ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [A,B,C] :
( rr(C,B)
| ~ rr(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rr_substitution_2]) ).
fof(f_9_2,plain,
! [U_19,U_18,U_17] :
( rr(U_17,U_18)
| ~ rr(U_17,U_19)
| U_19 != U_18 ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_17,U_18,U_19] :
( rr(U_17,U_18)
| ~ rr(U_17,U_19)
| U_19 != U_18 ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( rr(U_17,U_18)
| ~ rr(U_17,U_19)
| U_19 != U_18 ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [A,B,C] :
( rr1(B,C)
| ~ rr1(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rr1_substitution_1]) ).
fof(f_10_2,plain,
! [U_22,U_21,U_20] :
( rr1(U_21,U_20)
| ~ rr1(U_22,U_20)
| U_22 != U_21 ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_21,U_20,U_22] :
( rr1(U_21,U_20)
| ~ rr1(U_22,U_20)
| U_22 != U_21 ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( rr1(U_21,U_20)
| ~ rr1(U_22,U_20)
| U_22 != U_21 ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [A,B,C] :
( rr1(C,B)
| ~ rr1(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rr1_substitution_2]) ).
fof(f_11_2,plain,
! [U_25,U_24,U_23] :
( rr1(U_23,U_24)
| ~ rr1(U_23,U_25)
| U_25 != U_24 ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_24,U_23,U_25] :
( rr1(U_23,U_24)
| ~ rr1(U_23,U_25)
| U_25 != U_24 ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( rr1(U_23,U_24)
| ~ rr1(U_23,U_25)
| U_25 != U_24 ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [A,B,C] :
( rr2(B,C)
| ~ rr2(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rr2_substitution_1]) ).
fof(f_12_2,plain,
! [U_28,U_27,U_26] :
( rr2(U_27,U_26)
| ~ rr2(U_28,U_26)
| U_28 != U_27 ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_28,U_27,U_26] :
( rr2(U_27,U_26)
| ~ rr2(U_28,U_26)
| U_28 != U_27 ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( rr2(U_27,U_26)
| ~ rr2(U_28,U_26)
| U_28 != U_27 ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [A,B,C] :
( rr2(C,B)
| ~ rr2(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rr2_substitution_2]) ).
fof(f_13_2,plain,
! [U_31,U_30,U_29] :
( rr2(U_29,U_30)
| ~ rr2(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] :
( rr2(U_29,U_30)
| ~ rr2(U_29,U_31)
| U_31 != U_30 ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( rr2(U_29,U_30)
| ~ rr2(U_29,U_31)
| U_31 != U_30 ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [A,B,C] :
( rr3(B,C)
| ~ rr3(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rr3_substitution_1]) ).
fof(f_14_2,plain,
! [U_34,U_33,U_32] :
( rr3(U_33,U_32)
| ~ rr3(U_34,U_32)
| U_34 != U_33 ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_34,U_33,U_32] :
( rr3(U_33,U_32)
| ~ rr3(U_34,U_32)
| U_34 != U_33 ),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
( rr3(U_33,U_32)
| ~ rr3(U_34,U_32)
| U_34 != U_33 ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [A,B,C] :
( rr3(C,B)
| ~ rr3(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rr3_substitution_2]) ).
fof(f_15_2,plain,
! [U_37,U_36,U_35] :
( rr3(U_35,U_36)
| ~ rr3(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] :
( rr3(U_35,U_36)
| ~ rr3(U_35,U_37)
| U_37 != U_36 ),
inference(definitional_conversion,[status(esa)],[f_15_2]) ).
cnf(f_15_4,plain,
( rr3(U_35,U_36)
| ~ rr3(U_35,U_37)
| U_37 != U_36 ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [A,B,C] :
( rt1(B,C)
| ~ rt1(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rt1_substitution_1]) ).
fof(f_16_2,plain,
! [U_40,U_39,U_38] :
( rt1(U_39,U_38)
| ~ rt1(U_40,U_38)
| U_40 != U_39 ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_40,U_39,U_38] :
( rt1(U_39,U_38)
| ~ rt1(U_40,U_38)
| U_40 != U_39 ),
inference(definitional_conversion,[status(esa)],[f_16_2]) ).
cnf(f_16_4,plain,
( rt1(U_39,U_38)
| ~ rt1(U_40,U_38)
| U_40 != U_39 ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [A,B,C] :
( rt1(C,B)
| ~ rt1(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rt1_substitution_2]) ).
fof(f_17_2,plain,
! [U_43,U_42,U_41] :
( rt1(U_41,U_42)
| ~ rt1(U_41,U_43)
| U_43 != U_42 ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_43,U_42,U_41] :
( rt1(U_41,U_42)
| ~ rt1(U_41,U_43)
| U_43 != U_42 ),
inference(definitional_conversion,[status(esa)],[f_17_2]) ).
cnf(f_17_4,plain,
( rt1(U_41,U_42)
| ~ rt1(U_41,U_43)
| U_43 != U_42 ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
! [A,B,C] :
( rt2(B,C)
| ~ rt2(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rt2_substitution_1]) ).
fof(f_18_2,plain,
! [U_46,U_45,U_44] :
( rt2(U_45,U_44)
| ~ rt2(U_46,U_44)
| U_46 != U_45 ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_46,U_45,U_44] :
( rt2(U_45,U_44)
| ~ rt2(U_46,U_44)
| U_46 != U_45 ),
inference(definitional_conversion,[status(esa)],[f_18_2]) ).
cnf(f_18_4,plain,
( rt2(U_45,U_44)
| ~ rt2(U_46,U_44)
| U_46 != U_45 ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
! [A,B,C] :
( rt2(C,B)
| ~ rt2(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rt2_substitution_2]) ).
fof(f_19_2,plain,
! [U_49,U_48,U_47] :
( rt2(U_47,U_48)
| ~ rt2(U_47,U_49)
| U_49 != U_48 ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_49,U_48,U_47] :
( rt2(U_47,U_48)
| ~ rt2(U_47,U_49)
| U_49 != U_48 ),
inference(definitional_conversion,[status(esa)],[f_19_2]) ).
cnf(f_19_4,plain,
( rt2(U_47,U_48)
| ~ rt2(U_47,U_49)
| U_49 != U_48 ),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_20_1,plain,
! [A,B,C] :
( rt3(B,C)
| ~ rt3(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rt3_substitution_1]) ).
fof(f_20_2,plain,
! [U_52,U_51,U_50] :
( rt3(U_51,U_50)
| ~ rt3(U_52,U_50)
| U_52 != U_51 ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_52,U_51,U_50] :
( rt3(U_51,U_50)
| ~ rt3(U_52,U_50)
| U_52 != U_51 ),
inference(definitional_conversion,[status(esa)],[f_20_2]) ).
cnf(f_20_4,plain,
( rt3(U_51,U_50)
| ~ rt3(U_52,U_50)
| U_52 != U_51 ),
inference(clausify,[status(thm)],[f_20_3]) ).
fof(f_21_1,plain,
! [A,B,C] :
( rt3(C,B)
| ~ rt3(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rt3_substitution_2]) ).
fof(f_21_2,plain,
! [U_55,U_54,U_53] :
( rt3(U_53,U_54)
| ~ rt3(U_53,U_55)
| U_55 != U_54 ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_55,U_54,U_53] :
( rt3(U_53,U_54)
| ~ rt3(U_53,U_55)
| U_55 != U_54 ),
inference(definitional_conversion,[status(esa)],[f_21_2]) ).
cnf(f_21_4,plain,
( rt3(U_53,U_54)
| ~ rt3(U_53,U_55)
| U_55 != U_54 ),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_1,plain,
! [A,B,C] :
( rtt(B,C)
| ~ rtt(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rtt_substitution_1]) ).
fof(f_22_2,plain,
! [U_58,U_57,U_56] :
( rtt(U_57,U_56)
| ~ rtt(U_58,U_56)
| U_58 != U_57 ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
! [U_57,U_58,U_56] :
( rtt(U_57,U_56)
| ~ rtt(U_58,U_56)
| U_58 != U_57 ),
inference(definitional_conversion,[status(esa)],[f_22_2]) ).
cnf(f_22_4,plain,
( rtt(U_57,U_56)
| ~ rtt(U_58,U_56)
| U_58 != U_57 ),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_1,plain,
! [A,B,C] :
( rtt(C,B)
| ~ rtt(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rtt_substitution_2]) ).
fof(f_23_2,plain,
! [U_61,U_60,U_59] :
( rtt(U_59,U_60)
| ~ rtt(U_59,U_61)
| U_61 != U_60 ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_61,U_60,U_59] :
( rtt(U_59,U_60)
| ~ rtt(U_59,U_61)
| U_61 != U_60 ),
inference(definitional_conversion,[status(esa)],[f_23_2]) ).
cnf(f_23_4,plain,
( rtt(U_59,U_60)
| ~ rtt(U_59,U_61)
| U_61 != U_60 ),
inference(clausify,[status(thm)],[f_23_3]) ).
fof(f_24_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_24_2,plain,
! [U_63,U_62] :
( xsd_integer(U_62)
| ~ xsd_integer(U_63)
| U_63 != U_62 ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
! [U_63,U_62] :
( xsd_integer(U_62)
| ~ xsd_integer(U_63)
| U_63 != U_62 ),
inference(definitional_conversion,[status(esa)],[f_24_2]) ).
cnf(f_24_4,plain,
( xsd_integer(U_62)
| ~ xsd_integer(U_63)
| U_63 != U_62 ),
inference(clausify,[status(thm)],[f_24_3]) ).
fof(f_25_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_25_2,plain,
! [U_65,U_64] :
( xsd_string(U_64)
| ~ xsd_string(U_65)
| U_65 != U_64 ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
! [U_65,U_64] :
( xsd_string(U_64)
| ~ xsd_string(U_65)
| U_65 != U_64 ),
inference(definitional_conversion,[status(esa)],[f_25_2]) ).
cnf(f_25_4,plain,
( xsd_string(U_64)
| ~ xsd_string(U_65)
| U_65 != U_64 ),
inference(clausify,[status(thm)],[f_25_3]) ).
fof(f_26_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_26_2,plain,
! [U_66] :
( ~ cowlNothing(U_66)
& cowlThing(U_66) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
( ! [U_68] : ~ cowlNothing(U_68)
& ! [U_67] : cowlThing(U_67) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
fof(f_26_4,plain,
( ! [U_68] : ~ cowlNothing(U_68)
& ! [U_67] : cowlThing(U_67) ),
inference(definitional_conversion,[status(esa)],[f_26_3]) ).
cnf(f_26_5,plain,
cowlThing(U_67),
inference(clausify,[status(thm)],[f_26_4]) ).
cnf(f_26_6,plain,
~ cowlNothing(U_68),
inference(clausify,[status(thm)],[f_26_4]) ).
fof(f_27_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_27_2,plain,
! [U_69] :
( ( xsd_string(U_69)
| xsd_integer(U_69) )
& ( ~ xsd_integer(U_69)
| ~ xsd_string(U_69) ) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
( ! [U_71] :
( xsd_string(U_71)
| xsd_integer(U_71) )
& ! [U_70] :
( ~ xsd_integer(U_70)
| ~ xsd_string(U_70) ) ),
inference(miniscope,[status(thm)],[f_27_2]) ).
fof(f_27_4,plain,
( ! [U_71] :
( xsd_string(U_71)
| xsd_integer(U_71) )
& ! [U_70] :
( ~ xsd_integer(U_70)
| ~ xsd_string(U_70) ) ),
inference(definitional_conversion,[status(esa)],[f_27_3]) ).
cnf(f_27_5,plain,
( ~ xsd_integer(U_70)
| ~ xsd_string(U_70) ),
inference(clausify,[status(thm)],[f_27_4]) ).
cnf(f_27_6,plain,
( xsd_string(U_71)
| xsd_integer(U_71) ),
inference(clausify,[status(thm)],[f_27_4]) ).
fof(f_28_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ! [Y] :
( ! [Z] :
( ~ cc(Z)
| ~ rt1(Y,Z) )
| ? [Z0,Z1] :
( Z0 != Z1
& rtt(Y,Z1)
& rtt(Y,Z0) )
| ~ rr1(X,Y) )
| ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ! [Z] :
( ~ cd(Z)
| ~ rt2(Y,Z) )
| ? [Z0,Z1] :
( Z0 != Z1
& rtt(Y,Z1)
& rtt(Y,Z0) )
| ~ rr2(X,Y) )
| ! [Y] :
( ? [Z0,Z1] :
( Z0 != Z1
& rtt(Y,Z1)
& rtt(Y,Z0) )
| ! [Z] :
( ~ ce(Z)
| ~ rt3(Y,Z) )
| ~ rr3(X,Y) ) )
& ( ( ? [Y] :
( ? [Z] :
( cc(Z)
& rt1(Y,Z) )
& ! [Z0,Z1] :
( Z0 = Z1
| ~ rtt(Y,Z1)
| ~ rtt(Y,Z0) )
& rr1(X,Y) )
& ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( ? [Z] :
( cd(Z)
& rt2(Y,Z) )
& ! [Z0,Z1] :
( Z0 = Z1
| ~ rtt(Y,Z1)
| ~ rtt(Y,Z0) )
& rr2(X,Y) )
& ? [Y] :
( ! [Z0,Z1] :
( Z0 = Z1
| ~ rtt(Y,Z1)
| ~ rtt(Y,Z0) )
& ? [Z] :
( ce(Z)
& rt3(Y,Z) )
& rr3(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_28_2,plain,
! [U_100] :
( ( cUnsatisfiable(U_100)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_100,U_99) )
| ? [U_95,U_94] :
( U_95 != U_94
& rr(U_100,U_94)
& rr(U_100,U_95) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ? [U_91,U_90] :
( U_91 != U_90
& rtt(U_93,U_90)
& rtt(U_93,U_91) )
| ~ rr2(U_100,U_93) )
| ! [U_89] :
( ? [U_88,U_87] :
( U_88 != U_87
& rtt(U_89,U_87)
& rtt(U_89,U_88) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_100,U_89) ) )
& ( ( ? [U_85] :
( ? [U_84] :
( cc(U_84)
& rt1(U_85,U_84) )
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(U_85,U_82)
| ~ rtt(U_85,U_83) )
& rr1(U_100,U_85) )
& ! [U_81,U_80] :
( U_81 = U_80
| ~ rr(U_100,U_80)
| ~ rr(U_100,U_81) )
& ? [U_79] :
( ? [U_78] :
( cd(U_78)
& rt2(U_79,U_78) )
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(U_79,U_76)
| ~ rtt(U_79,U_77) )
& rr2(U_100,U_79) )
& ? [U_75] :
( ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(U_75,U_73)
| ~ rtt(U_75,U_74) )
& ? [U_72] :
( ce(U_72)
& rt3(U_75,U_72) )
& rr3(U_100,U_75) ) )
| ~ cUnsatisfiable(U_100) ) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ? [U_95] :
( ? [U_94] :
( U_95 != U_94
& rr(U_102,U_94) )
& rr(U_102,U_95) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ? [U_91,U_90] :
( U_91 != U_90
& rtt(U_93,U_90)
& rtt(U_93,U_91) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ? [U_88,U_87] :
( U_88 != U_87
& rtt(U_89,U_87)
& rtt(U_89,U_88) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( ? [U_85] :
( ? [U_84] :
( cc(U_84)
& rt1(U_85,U_84) )
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(U_85,U_82)
| ~ rtt(U_85,U_83) )
& rr1(U_101,U_85) )
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& ? [U_79] :
( ? [U_78] :
( cd(U_78)
& rt2(U_79,U_78) )
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(U_79,U_76)
| ~ rtt(U_79,U_77) )
& rr2(U_101,U_79) )
& ? [U_75] :
( ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(U_75,U_73)
| ~ rtt(U_75,U_74) )
& ? [U_72] :
( ce(U_72)
& rt3(U_75,U_72) )
& rr3(U_101,U_75) ) )
| ~ cUnsatisfiable(U_101) ) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
fof(f_28_4,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ? [U_95] :
( ? [U_94] :
( U_95 != U_94
& rr(U_102,U_94) )
& rr(U_102,U_95) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ? [U_91,U_90] :
( U_91 != U_90
& rtt(U_93,U_90)
& rtt(U_93,U_91) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ? [U_88,U_87] :
( U_88 != U_87
& rtt(U_89,U_87)
& rtt(U_89,U_88) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( ? [U_85] :
( ? [U_84] :
( cc(U_84)
& rt1(U_85,U_84) )
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(U_85,U_82)
| ~ rtt(U_85,U_83) )
& rr1(U_101,U_85) )
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& ? [U_79] :
( ? [U_78] :
( cd(U_78)
& rt2(U_79,U_78) )
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(U_79,U_76)
| ~ rtt(U_79,U_77) )
& rr2(U_101,U_79) )
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ? [U_72] :
( ce(U_72)
& rt3(sK1(U_101),U_72) )
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_75,sK1(U_101))],[f_28_3]) ).
fof(f_28_5,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ? [U_95] :
( ? [U_94] :
( U_95 != U_94
& rr(U_102,U_94) )
& rr(U_102,U_95) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ? [U_91,U_90] :
( U_91 != U_90
& rtt(U_93,U_90)
& rtt(U_93,U_91) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ? [U_88,U_87] :
( U_88 != U_87
& rtt(U_89,U_87)
& rtt(U_89,U_88) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( ? [U_85] :
( ? [U_84] :
( cc(U_84)
& rt1(U_85,U_84) )
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(U_85,U_82)
| ~ rtt(U_85,U_83) )
& rr1(U_101,U_85) )
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& ? [U_79] :
( ? [U_78] :
( cd(U_78)
& rt2(U_79,U_78) )
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(U_79,U_76)
| ~ rtt(U_79,U_77) )
& rr2(U_101,U_79) )
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_72,sK2(U_101))],[f_28_4]) ).
fof(f_28_6,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ? [U_95] :
( ? [U_94] :
( U_95 != U_94
& rr(U_102,U_94) )
& rr(U_102,U_95) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ? [U_91,U_90] :
( U_91 != U_90
& rtt(U_93,U_90)
& rtt(U_93,U_91) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ? [U_88,U_87] :
( U_88 != U_87
& rtt(U_89,U_87)
& rtt(U_89,U_88) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( ? [U_85] :
( ? [U_84] :
( cc(U_84)
& rt1(U_85,U_84) )
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(U_85,U_82)
| ~ rtt(U_85,U_83) )
& rr1(U_101,U_85) )
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& ? [U_78] :
( cd(U_78)
& rt2(sK3(U_101),U_78) )
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77) )
& rr2(U_101,sK3(U_101))
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_79,sK3(U_101))],[f_28_5]) ).
fof(f_28_7,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ? [U_95] :
( ? [U_94] :
( U_95 != U_94
& rr(U_102,U_94) )
& rr(U_102,U_95) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ? [U_91,U_90] :
( U_91 != U_90
& rtt(U_93,U_90)
& rtt(U_93,U_91) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ? [U_88,U_87] :
( U_88 != U_87
& rtt(U_89,U_87)
& rtt(U_89,U_88) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( ? [U_85] :
( ? [U_84] :
( cc(U_84)
& rt1(U_85,U_84) )
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(U_85,U_82)
| ~ rtt(U_85,U_83) )
& rr1(U_101,U_85) )
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& cd(sK4(U_101))
& rt2(sK3(U_101),sK4(U_101))
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77) )
& rr2(U_101,sK3(U_101))
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_78,sK4(U_101))],[f_28_6]) ).
fof(f_28_8,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ? [U_95] :
( ? [U_94] :
( U_95 != U_94
& rr(U_102,U_94) )
& rr(U_102,U_95) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ? [U_91,U_90] :
( U_91 != U_90
& rtt(U_93,U_90)
& rtt(U_93,U_91) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ? [U_88,U_87] :
( U_88 != U_87
& rtt(U_89,U_87)
& rtt(U_89,U_88) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( ? [U_84] :
( cc(U_84)
& rt1(sK5(U_101),U_84) )
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(sK5(U_101),U_82)
| ~ rtt(sK5(U_101),U_83) )
& rr1(U_101,sK5(U_101))
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& cd(sK4(U_101))
& rt2(sK3(U_101),sK4(U_101))
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77) )
& rr2(U_101,sK3(U_101))
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_85,sK5(U_101))],[f_28_7]) ).
fof(f_28_9,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ? [U_95] :
( ? [U_94] :
( U_95 != U_94
& rr(U_102,U_94) )
& rr(U_102,U_95) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ? [U_91,U_90] :
( U_91 != U_90
& rtt(U_93,U_90)
& rtt(U_93,U_91) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ? [U_88,U_87] :
( U_88 != U_87
& rtt(U_89,U_87)
& rtt(U_89,U_88) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( cc(sK6(U_101))
& rt1(sK5(U_101),sK6(U_101))
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(sK5(U_101),U_82)
| ~ rtt(sK5(U_101),U_83) )
& rr1(U_101,sK5(U_101))
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& cd(sK4(U_101))
& rt2(sK3(U_101),sK4(U_101))
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77) )
& rr2(U_101,sK3(U_101))
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_84,sK6(U_101))],[f_28_8]) ).
fof(f_28_10,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ? [U_95] :
( ? [U_94] :
( U_95 != U_94
& rr(U_102,U_94) )
& rr(U_102,U_95) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ? [U_91,U_90] :
( U_91 != U_90
& rtt(U_93,U_90)
& rtt(U_93,U_91) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ? [U_87] :
( sK7(U_102,U_89) != U_87
& rtt(U_89,U_87)
& rtt(U_89,sK7(U_102,U_89)) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( cc(sK6(U_101))
& rt1(sK5(U_101),sK6(U_101))
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(sK5(U_101),U_82)
| ~ rtt(sK5(U_101),U_83) )
& rr1(U_101,sK5(U_101))
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& cd(sK4(U_101))
& rt2(sK3(U_101),sK4(U_101))
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77) )
& rr2(U_101,sK3(U_101))
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_88,sK7(U_102,U_89))],[f_28_9]) ).
fof(f_28_11,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ? [U_95] :
( ? [U_94] :
( U_95 != U_94
& rr(U_102,U_94) )
& rr(U_102,U_95) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ? [U_91,U_90] :
( U_91 != U_90
& rtt(U_93,U_90)
& rtt(U_93,U_91) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ( sK7(U_102,U_89) != sK8(U_102,U_89)
& rtt(U_89,sK8(U_102,U_89))
& rtt(U_89,sK7(U_102,U_89)) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( cc(sK6(U_101))
& rt1(sK5(U_101),sK6(U_101))
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(sK5(U_101),U_82)
| ~ rtt(sK5(U_101),U_83) )
& rr1(U_101,sK5(U_101))
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& cd(sK4(U_101))
& rt2(sK3(U_101),sK4(U_101))
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77) )
& rr2(U_101,sK3(U_101))
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_87,sK8(U_102,U_89))],[f_28_10]) ).
fof(f_28_12,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ? [U_95] :
( ? [U_94] :
( U_95 != U_94
& rr(U_102,U_94) )
& rr(U_102,U_95) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ? [U_90] :
( sK9(U_102,U_93) != U_90
& rtt(U_93,U_90)
& rtt(U_93,sK9(U_102,U_93)) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ( sK7(U_102,U_89) != sK8(U_102,U_89)
& rtt(U_89,sK8(U_102,U_89))
& rtt(U_89,sK7(U_102,U_89)) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( cc(sK6(U_101))
& rt1(sK5(U_101),sK6(U_101))
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(sK5(U_101),U_82)
| ~ rtt(sK5(U_101),U_83) )
& rr1(U_101,sK5(U_101))
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& cd(sK4(U_101))
& rt2(sK3(U_101),sK4(U_101))
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77) )
& rr2(U_101,sK3(U_101))
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_91,sK9(U_102,U_93))],[f_28_11]) ).
fof(f_28_13,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ? [U_95] :
( ? [U_94] :
( U_95 != U_94
& rr(U_102,U_94) )
& rr(U_102,U_95) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ( sK9(U_102,U_93) != sK10(U_102,U_93)
& rtt(U_93,sK10(U_102,U_93))
& rtt(U_93,sK9(U_102,U_93)) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ( sK7(U_102,U_89) != sK8(U_102,U_89)
& rtt(U_89,sK8(U_102,U_89))
& rtt(U_89,sK7(U_102,U_89)) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( cc(sK6(U_101))
& rt1(sK5(U_101),sK6(U_101))
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(sK5(U_101),U_82)
| ~ rtt(sK5(U_101),U_83) )
& rr1(U_101,sK5(U_101))
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& cd(sK4(U_101))
& rt2(sK3(U_101),sK4(U_101))
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77) )
& rr2(U_101,sK3(U_101))
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_90,sK10(U_102,U_93))],[f_28_12]) ).
fof(f_28_14,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ( ? [U_94] :
( sK11(U_102) != U_94
& rr(U_102,U_94) )
& rr(U_102,sK11(U_102)) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ( sK9(U_102,U_93) != sK10(U_102,U_93)
& rtt(U_93,sK10(U_102,U_93))
& rtt(U_93,sK9(U_102,U_93)) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ( sK7(U_102,U_89) != sK8(U_102,U_89)
& rtt(U_89,sK8(U_102,U_89))
& rtt(U_89,sK7(U_102,U_89)) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( cc(sK6(U_101))
& rt1(sK5(U_101),sK6(U_101))
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(sK5(U_101),U_82)
| ~ rtt(sK5(U_101),U_83) )
& rr1(U_101,sK5(U_101))
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& cd(sK4(U_101))
& rt2(sK3(U_101),sK4(U_101))
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77) )
& rr2(U_101,sK3(U_101))
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_95,sK11(U_102))],[f_28_13]) ).
fof(f_28_15,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_97,U_96] :
( U_97 != U_96
& rtt(U_99,U_96)
& rtt(U_99,U_97) )
| ~ rr1(U_102,U_99) )
| ( sK11(U_102) != sK12(U_102)
& rr(U_102,sK12(U_102))
& rr(U_102,sK11(U_102)) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ( sK9(U_102,U_93) != sK10(U_102,U_93)
& rtt(U_93,sK10(U_102,U_93))
& rtt(U_93,sK9(U_102,U_93)) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ( sK7(U_102,U_89) != sK8(U_102,U_89)
& rtt(U_89,sK8(U_102,U_89))
& rtt(U_89,sK7(U_102,U_89)) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( cc(sK6(U_101))
& rt1(sK5(U_101),sK6(U_101))
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(sK5(U_101),U_82)
| ~ rtt(sK5(U_101),U_83) )
& rr1(U_101,sK5(U_101))
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& cd(sK4(U_101))
& rt2(sK3(U_101),sK4(U_101))
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77) )
& rr2(U_101,sK3(U_101))
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_94,sK12(U_102))],[f_28_14]) ).
fof(f_28_16,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ? [U_96] :
( sK13(U_102,U_99) != U_96
& rtt(U_99,U_96)
& rtt(U_99,sK13(U_102,U_99)) )
| ~ rr1(U_102,U_99) )
| ( sK11(U_102) != sK12(U_102)
& rr(U_102,sK12(U_102))
& rr(U_102,sK11(U_102)) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ( sK9(U_102,U_93) != sK10(U_102,U_93)
& rtt(U_93,sK10(U_102,U_93))
& rtt(U_93,sK9(U_102,U_93)) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ( sK7(U_102,U_89) != sK8(U_102,U_89)
& rtt(U_89,sK8(U_102,U_89))
& rtt(U_89,sK7(U_102,U_89)) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( cc(sK6(U_101))
& rt1(sK5(U_101),sK6(U_101))
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(sK5(U_101),U_82)
| ~ rtt(sK5(U_101),U_83) )
& rr1(U_101,sK5(U_101))
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& cd(sK4(U_101))
& rt2(sK3(U_101),sK4(U_101))
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77) )
& rr2(U_101,sK3(U_101))
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_97,sK13(U_102,U_99))],[f_28_15]) ).
fof(f_28_17,plain,
( ! [U_102] :
( cUnsatisfiable(U_102)
| ! [U_99] :
( ! [U_98] :
( ~ cc(U_98)
| ~ rt1(U_99,U_98) )
| ( sK13(U_102,U_99) != sK14(U_102,U_99)
& rtt(U_99,sK14(U_102,U_99))
& rtt(U_99,sK13(U_102,U_99)) )
| ~ rr1(U_102,U_99) )
| ( sK11(U_102) != sK12(U_102)
& rr(U_102,sK12(U_102))
& rr(U_102,sK11(U_102)) )
| ! [U_93] :
( ! [U_92] :
( ~ cd(U_92)
| ~ rt2(U_93,U_92) )
| ( sK9(U_102,U_93) != sK10(U_102,U_93)
& rtt(U_93,sK10(U_102,U_93))
& rtt(U_93,sK9(U_102,U_93)) )
| ~ rr2(U_102,U_93) )
| ! [U_89] :
( ( sK7(U_102,U_89) != sK8(U_102,U_89)
& rtt(U_89,sK8(U_102,U_89))
& rtt(U_89,sK7(U_102,U_89)) )
| ! [U_86] :
( ~ ce(U_86)
| ~ rt3(U_89,U_86) )
| ~ rr3(U_102,U_89) ) )
& ! [U_101] :
( ( cc(sK6(U_101))
& rt1(sK5(U_101),sK6(U_101))
& ! [U_83,U_82] :
( U_83 = U_82
| ~ rtt(sK5(U_101),U_82)
| ~ rtt(sK5(U_101),U_83) )
& rr1(U_101,sK5(U_101))
& ! [U_81] :
( ! [U_80] :
( U_81 = U_80
| ~ rr(U_101,U_80) )
| ~ rr(U_101,U_81) )
& cd(sK4(U_101))
& rt2(sK3(U_101),sK4(U_101))
& ! [U_77,U_76] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77) )
& rr2(U_101,sK3(U_101))
& ! [U_74,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74) )
& ce(sK2(U_101))
& rt3(sK1(U_101),sK2(U_101))
& rr3(U_101,sK1(U_101)) )
| ~ cUnsatisfiable(U_101) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_96,sK14(U_102,U_99))],[f_28_16]) ).
fof(f_28_18,plain,
( ! [U_102,U_99] :
( sK13(U_102,U_99) != sK14(U_102,U_99)
| ~ sP4(U_102,U_99) )
& ! [U_102,U_99] :
( rtt(U_99,sK14(U_102,U_99))
| ~ sP4(U_102,U_99) )
& ! [U_102,U_99] :
( rtt(U_99,sK13(U_102,U_99))
| ~ sP4(U_102,U_99) )
& ! [U_102] :
( sK11(U_102) != sK12(U_102)
| ~ sP3(U_102) )
& ! [U_102] :
( rr(U_102,sK12(U_102))
| ~ sP3(U_102) )
& ! [U_102] :
( rr(U_102,sK11(U_102))
| ~ sP3(U_102) )
& ! [U_93,U_102] :
( sK9(U_102,U_93) != sK10(U_102,U_93)
| ~ sP2(U_93,U_102) )
& ! [U_93,U_102] :
( rtt(U_93,sK10(U_102,U_93))
| ~ sP2(U_93,U_102) )
& ! [U_93,U_102] :
( rtt(U_93,sK9(U_102,U_93))
| ~ sP2(U_93,U_102) )
& ! [U_102,U_89] :
( sK7(U_102,U_89) != sK8(U_102,U_89)
| ~ sP1(U_102,U_89) )
& ! [U_102,U_89] :
( rtt(U_89,sK8(U_102,U_89))
| ~ sP1(U_102,U_89) )
& ! [U_102,U_89] :
( rtt(U_89,sK7(U_102,U_89))
| ~ sP1(U_102,U_89) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( cc(sK6(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( rt1(sK5(U_101),sK6(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( U_83 = U_82
| ~ rtt(sK5(U_101),U_82)
| ~ rtt(sK5(U_101),U_83)
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( rr1(U_101,sK5(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( U_81 = U_80
| ~ rr(U_101,U_80)
| ~ rr(U_101,U_81)
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( cd(sK4(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( rt2(sK3(U_101),sK4(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77)
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( rr2(U_101,sK3(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74)
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( ce(sK2(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( rt3(sK1(U_101),sK2(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( rr3(U_101,sK1(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) )
& ! [U_93,U_98,U_102,U_99,U_92,U_89,U_86] :
( cUnsatisfiable(U_102)
| ~ cc(U_98)
| ~ rt1(U_99,U_98)
| sP4(U_102,U_99)
| ~ rr1(U_102,U_99)
| sP3(U_102)
| ~ cd(U_92)
| ~ rt2(U_93,U_92)
| sP2(U_93,U_102)
| ~ rr2(U_102,U_93)
| sP1(U_102,U_89)
| ~ ce(U_86)
| ~ rt3(U_89,U_86)
| ~ rr3(U_102,U_89) )
& ! [U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73] :
( sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73)
| ~ cUnsatisfiable(U_101) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4])],[f_28_17]) ).
cnf(f_28_19,plain,
( sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73)
| ~ cUnsatisfiable(U_101) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_20,plain,
( cUnsatisfiable(U_102)
| ~ cc(U_98)
| ~ rt1(U_99,U_98)
| sP4(U_102,U_99)
| ~ rr1(U_102,U_99)
| sP3(U_102)
| ~ cd(U_92)
| ~ rt2(U_93,U_92)
| sP2(U_93,U_102)
| ~ rr2(U_102,U_93)
| sP1(U_102,U_89)
| ~ ce(U_86)
| ~ rt3(U_89,U_86)
| ~ rr3(U_102,U_89) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_21,plain,
( rr3(U_101,sK1(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_22,plain,
( rt3(sK1(U_101),sK2(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_23,plain,
( ce(sK2(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_24,plain,
( U_74 = U_73
| ~ rtt(sK1(U_101),U_73)
| ~ rtt(sK1(U_101),U_74)
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_25,plain,
( rr2(U_101,sK3(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_26,plain,
( U_77 = U_76
| ~ rtt(sK3(U_101),U_76)
| ~ rtt(sK3(U_101),U_77)
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_27,plain,
( rt2(sK3(U_101),sK4(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_28,plain,
( cd(sK4(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_29,plain,
( U_81 = U_80
| ~ rr(U_101,U_80)
| ~ rr(U_101,U_81)
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_30,plain,
( rr1(U_101,sK5(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_31,plain,
( U_83 = U_82
| ~ rtt(sK5(U_101),U_82)
| ~ rtt(sK5(U_101),U_83)
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_32,plain,
( rt1(sK5(U_101),sK6(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_33,plain,
( cc(sK6(U_101))
| ~ sP0(U_74,U_101,U_76,U_77,U_80,U_81,U_82,U_83,U_73) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_34,plain,
( rtt(U_89,sK7(U_102,U_89))
| ~ sP1(U_102,U_89) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_35,plain,
( rtt(U_89,sK8(U_102,U_89))
| ~ sP1(U_102,U_89) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_36,plain,
( sK7(U_102,U_89) != sK8(U_102,U_89)
| ~ sP1(U_102,U_89) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_37,plain,
( rtt(U_93,sK9(U_102,U_93))
| ~ sP2(U_93,U_102) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_38,plain,
( rtt(U_93,sK10(U_102,U_93))
| ~ sP2(U_93,U_102) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_39,plain,
( sK9(U_102,U_93) != sK10(U_102,U_93)
| ~ sP2(U_93,U_102) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_40,plain,
( rr(U_102,sK11(U_102))
| ~ sP3(U_102) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_41,plain,
( rr(U_102,sK12(U_102))
| ~ sP3(U_102) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_42,plain,
( sK11(U_102) != sK12(U_102)
| ~ sP3(U_102) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_43,plain,
( rtt(U_99,sK13(U_102,U_99))
| ~ sP4(U_102,U_99) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_44,plain,
( rtt(U_99,sK14(U_102,U_99))
| ~ sP4(U_102,U_99) ),
inference(clausify,[status(thm)],[f_28_18]) ).
cnf(f_28_45,plain,
( sK13(U_102,U_99) != sK14(U_102,U_99)
| ~ sP4(U_102,U_99) ),
inference(clausify,[status(thm)],[f_28_18]) ).
fof(f_29_1,plain,
! [X] :
( ( ca(X)
| ( ~ cd(X)
& ~ cc(X) ) )
& ( cd(X)
| cc(X)
| ~ ca(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_29_2,plain,
! [U_103] :
( ( ca(U_103)
| ( ~ cd(U_103)
& ~ cc(U_103) ) )
& ( cd(U_103)
| cc(U_103)
| ~ ca(U_103) ) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( ! [U_105] :
( ca(U_105)
| ( ~ cd(U_105)
& ~ cc(U_105) ) )
& ! [U_104] :
( cd(U_104)
| cc(U_104)
| ~ ca(U_104) ) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
fof(f_29_4,plain,
( ! [U_105] :
( ~ cd(U_105)
| ~ sP5(U_105) )
& ! [U_105] :
( ~ cc(U_105)
| ~ sP5(U_105) )
& ! [U_105] :
( ca(U_105)
| sP5(U_105) )
& ! [U_104] :
( cd(U_104)
| cc(U_104)
| ~ ca(U_104) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP5])],[f_29_3]) ).
cnf(f_29_5,plain,
( cd(U_104)
| cc(U_104)
| ~ ca(U_104) ),
inference(clausify,[status(thm)],[f_29_4]) ).
cnf(f_29_6,plain,
( ca(U_105)
| sP5(U_105) ),
inference(clausify,[status(thm)],[f_29_4]) ).
cnf(f_29_7,plain,
( ~ cc(U_105)
| ~ sP5(U_105) ),
inference(clausify,[status(thm)],[f_29_4]) ).
cnf(f_29_8,plain,
( ~ cd(U_105)
| ~ sP5(U_105) ),
inference(clausify,[status(thm)],[f_29_4]) ).
fof(f_30_1,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_30_2,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(definitional_conversion,[status(esa)],[f_30_1]) ).
cnf(f_30_3,plain,
cUnsatisfiable(i2003_11_14_17_20_25524),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_31_2,plain,
! [U_106] :
( ~ cd(U_106)
| ~ cc(U_106) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
! [U_106] :
( ~ cd(U_106)
| ~ cc(U_106) ),
inference(definitional_conversion,[status(esa)],[f_31_2]) ).
cnf(f_31_4,plain,
( ~ cd(U_106)
| ~ cc(U_106) ),
inference(clausify,[status(thm)],[f_31_3]) ).
fof(f_32_1,plain,
! [X] :
( ~ cc(X)
| ~ ce(X) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_32_2,plain,
! [U_107] :
( ~ cc(U_107)
| ~ ce(U_107) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
! [U_107] :
( ~ cc(U_107)
| ~ ce(U_107) ),
inference(definitional_conversion,[status(esa)],[f_32_2]) ).
cnf(f_32_4,plain,
( ~ cc(U_107)
| ~ ce(U_107) ),
inference(clausify,[status(thm)],[f_32_3]) ).
fof(f_33_1,plain,
! [X] :
( ~ cd(X)
| ~ ce(X) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_33_2,plain,
! [U_108] :
( ~ cd(U_108)
| ~ ce(U_108) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
! [U_108] :
( ~ cd(U_108)
| ~ ce(U_108) ),
inference(definitional_conversion,[status(esa)],[f_33_2]) ).
cnf(f_33_4,plain,
( ~ cd(U_108)
| ~ ce(U_108) ),
inference(clausify,[status(thm)],[f_33_3]) ).
fof(f_34_1,plain,
! [X,Y] :
( rr(X,Y)
| ~ rr1(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_34_2,plain,
! [U_110,U_109] :
( rr(U_110,U_109)
| ~ rr1(U_110,U_109) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
! [U_109,U_110] :
( rr(U_110,U_109)
| ~ rr1(U_110,U_109) ),
inference(definitional_conversion,[status(esa)],[f_34_2]) ).
cnf(f_34_4,plain,
( rr(U_110,U_109)
| ~ rr1(U_110,U_109) ),
inference(clausify,[status(thm)],[f_34_3]) ).
fof(f_35_1,plain,
! [X,Y] :
( rr(X,Y)
| ~ rr2(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_35_2,plain,
! [U_112,U_111] :
( rr(U_112,U_111)
| ~ rr2(U_112,U_111) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
! [U_112,U_111] :
( rr(U_112,U_111)
| ~ rr2(U_112,U_111) ),
inference(definitional_conversion,[status(esa)],[f_35_2]) ).
cnf(f_35_4,plain,
( rr(U_112,U_111)
| ~ rr2(U_112,U_111) ),
inference(clausify,[status(thm)],[f_35_3]) ).
fof(f_36_1,plain,
! [X,Y] :
( rtt(X,Y)
| ~ rt1(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_36_2,plain,
! [U_114,U_113] :
( rtt(U_114,U_113)
| ~ rt1(U_114,U_113) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
! [U_114,U_113] :
( rtt(U_114,U_113)
| ~ rt1(U_114,U_113) ),
inference(definitional_conversion,[status(esa)],[f_36_2]) ).
cnf(f_36_4,plain,
( rtt(U_114,U_113)
| ~ rt1(U_114,U_113) ),
inference(clausify,[status(thm)],[f_36_3]) ).
fof(f_37_1,plain,
! [X,Y] :
( rtt(X,Y)
| ~ rt2(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_37_2,plain,
! [U_116,U_115] :
( rtt(U_116,U_115)
| ~ rt2(U_116,U_115) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
! [U_116,U_115] :
( rtt(U_116,U_115)
| ~ rt2(U_116,U_115) ),
inference(definitional_conversion,[status(esa)],[f_37_2]) ).
cnf(f_37_4,plain,
( rtt(U_116,U_115)
| ~ rt2(U_116,U_115) ),
inference(clausify,[status(thm)],[f_37_3]) ).
fof(f_38_1,plain,
! [X,Y] :
( rr(X,Y)
| ~ rr3(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_38_2,plain,
! [U_118,U_117] :
( rr(U_118,U_117)
| ~ rr3(U_118,U_117) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
! [U_117,U_118] :
( rr(U_118,U_117)
| ~ rr3(U_118,U_117) ),
inference(definitional_conversion,[status(esa)],[f_38_2]) ).
cnf(f_38_4,plain,
( rr(U_118,U_117)
| ~ rr3(U_118,U_117) ),
inference(clausify,[status(thm)],[f_38_3]) ).
fof(f_39_1,plain,
! [X,Y] :
( rtt(X,Y)
| ~ rt3(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
fof(f_39_2,plain,
! [U_120,U_119] :
( rtt(U_120,U_119)
| ~ rt3(U_120,U_119) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
! [U_120,U_119] :
( rtt(U_120,U_119)
| ~ rt3(U_120,U_119) ),
inference(definitional_conversion,[status(esa)],[f_39_2]) ).
cnf(f_39_4,plain,
( rtt(U_120,U_119)
| ~ rt3(U_120,U_119) ),
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,
( sK7(Eq_x_0,Eq_x_1) = sK7(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( sK8(Eq_x_0,Eq_x_1) = sK8(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( sK9(Eq_x_0,Eq_x_1) = sK9(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( sK10(Eq_x_0,Eq_x_1) = sK10(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( sK11(Eq_x_0) = sK11(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( sK12(Eq_x_0) = sK12(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( sK13(Eq_x_0,Eq_x_1) = sK13(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( sK14(Eq_x_0,Eq_x_1) = sK14(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( cUnsatisfiable(Eq_y_0)
| ~ cUnsatisfiable(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,axiom,
( ca(Eq_y_0)
| ~ ca(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_20,axiom,
( cc(Eq_y_0)
| ~ cc(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_21,axiom,
( cd(Eq_y_0)
| ~ cd(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_22,axiom,
( ce(Eq_y_0)
| ~ ce(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_23,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_24,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_25,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_26,axiom,
( rr1(Eq_y_0,Eq_y_1)
| ~ rr1(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,
( rr2(Eq_y_0,Eq_y_1)
| ~ rr2(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,
( rr3(Eq_y_0,Eq_y_1)
| ~ rr3(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_29,axiom,
( rt1(Eq_y_0,Eq_y_1)
| ~ rt1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_30,axiom,
( rt2(Eq_y_0,Eq_y_1)
| ~ rt2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_31,axiom,
( rt3(Eq_y_0,Eq_y_1)
| ~ rt3(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_32,axiom,
( rtt(Eq_y_0,Eq_y_1)
| ~ rtt(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_33,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_34,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_35,axiom,
( sP0(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7,Eq_y_8)
| ~ sP0(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7,Eq_x_8)
| Eq_x_8 != Eq_y_8
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_36,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_37,axiom,
( sP2(Eq_y_0,Eq_y_1)
| ~ sP2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_38,axiom,
( sP3(Eq_y_0)
| ~ sP3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_39,axiom,
( sP4(Eq_y_0,Eq_y_1)
| ~ sP4(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_40,axiom,
( sP5(Eq_y_0)
| ~ sP5(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS098+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 This is a FOF_UNS_RFO_SEQ problem
% 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.03/30.87 % CPULimit : 300
% 0.03/30.87 % WCLimit : 300
% 0.03/30.87 % DateTime : Sat Sep 19 12:12:39 UTC 2026
% 0.03/30.87 % CPUTime :
% 222.07/252.88 % SZS status Unsatisfiable for theBenchmark
% 222.07/252.88 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------