%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS106+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 08:47:17 AM UTC 2026
% Result : Unsatisfiable 1.65s 1.99s
% Output : Proof 1.65s
% 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(cowlNothing_substitution_1,axiom,
! [A,B] :
( ( cowlNothing(A)
& A = B )
=> cowlNothing(B) ),
file('theBenchmark.p',cowlNothing_substitution_1) ).
fof(cowlThing_substitution_1,axiom,
! [A,B] :
( ( cowlThing(A)
& A = B )
=> cowlThing(B) ),
file('theBenchmark.p',cowlThing_substitution_1) ).
fof(cp1_substitution_1,axiom,
! [A,B] :
( ( cp1(A)
& A = B )
=> cp1(B) ),
file('theBenchmark.p',cp1_substitution_1) ).
fof(cp1xcomp_substitution_1,axiom,
! [A,B] :
( ( cp1xcomp(A)
& A = B )
=> cp1xcomp(B) ),
file('theBenchmark.p',cp1xcomp_substitution_1) ).
fof(cp2_substitution_1,axiom,
! [A,B] :
( ( cp2(A)
& A = B )
=> cp2(B) ),
file('theBenchmark.p',cp2_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(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(rf2_substitution_1,axiom,
! [A,B,C] :
( ( rf2(A,C)
& A = B )
=> rf2(B,C) ),
file('theBenchmark.p',rf2_substitution_1) ).
fof(rf2_substitution_2,axiom,
! [A,B,C] :
( ( rf2(C,A)
& A = B )
=> rf2(C,B) ),
file('theBenchmark.p',rf2_substitution_2) ).
fof(rf3_substitution_1,axiom,
! [A,B,C] :
( ( rf3(A,C)
& A = B )
=> rf3(B,C) ),
file('theBenchmark.p',rf3_substitution_1) ).
fof(rf3_substitution_2,axiom,
! [A,B,C] :
( ( rf3(C,A)
& A = B )
=> rf3(C,B) ),
file('theBenchmark.p',rf3_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] :
( cp1xcomp(Y)
& rf2(X,Y) )
& ? [Y] :
( cp1(Y)
& rf1(X,Y) )
& ? [Y] :
( cp2(Y)
& rf3(X,Y) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cp1(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cp1xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X,Y,Z] :
( ( rf1(X,Z)
& rf1(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X,Y,Z] :
( ( rf2(X,Z)
& rf2(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X,Y,Z] :
( ( rf3(X,Z)
& rf3(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
cUnsatisfiable(i2003_11_14_17_20_57644),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X,Y] :
( rf3(X,Y)
=> rf1(X,Y) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X,Y] :
( rf3(X,Y)
=> rf2(X,Y) ),
file('theBenchmark.p',axiom_10) ).
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] :
( cowlNothing(B)
| ~ cowlNothing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlNothing_substitution_1]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( cowlNothing(U_2)
| ~ cowlNothing(U_3)
| U_3 != U_2 ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_2,U_3] :
( cowlNothing(U_2)
| ~ cowlNothing(U_3)
| U_3 != U_2 ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( cowlNothing(U_2)
| ~ cowlNothing(U_3)
| U_3 != U_2 ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [A,B] :
( cowlThing(B)
| ~ cowlThing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlThing_substitution_1]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( cowlThing(U_4)
| ~ cowlThing(U_5)
| U_5 != U_4 ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_4,U_5] :
( cowlThing(U_4)
| ~ cowlThing(U_5)
| U_5 != U_4 ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( cowlThing(U_4)
| ~ cowlThing(U_5)
| U_5 != U_4 ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [A,B] :
( cp1(B)
| ~ cp1(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp1_substitution_1]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( cp1(U_6)
| ~ cp1(U_7)
| U_7 != U_6 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_6,U_7] :
( cp1(U_6)
| ~ cp1(U_7)
| U_7 != U_6 ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( cp1(U_6)
| ~ cp1(U_7)
| U_7 != U_6 ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [A,B] :
( cp1xcomp(B)
| ~ cp1xcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp1xcomp_substitution_1]) ).
fof(f_5_2,plain,
! [U_9,U_8] :
( cp1xcomp(U_8)
| ~ cp1xcomp(U_9)
| U_9 != U_8 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_9,U_8] :
( cp1xcomp(U_8)
| ~ cp1xcomp(U_9)
| U_9 != U_8 ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( cp1xcomp(U_8)
| ~ cp1xcomp(U_9)
| U_9 != U_8 ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [A,B] :
( cp2(B)
| ~ cp2(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp2_substitution_1]) ).
fof(f_6_2,plain,
! [U_11,U_10] :
( cp2(U_10)
| ~ cp2(U_11)
| U_11 != U_10 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_10,U_11] :
( cp2(U_10)
| ~ cp2(U_11)
| U_11 != U_10 ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( cp2(U_10)
| ~ cp2(U_11)
| U_11 != U_10 ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_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_7_2,plain,
! [U_14,U_13,U_12] :
( ra_Px1(U_13,U_12)
| ~ ra_Px1(U_14,U_12)
| U_14 != U_13 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_14,U_13,U_12] :
( ra_Px1(U_13,U_12)
| ~ ra_Px1(U_14,U_12)
| U_14 != U_13 ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( ra_Px1(U_13,U_12)
| ~ ra_Px1(U_14,U_12)
| U_14 != U_13 ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_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_8_2,plain,
! [U_17,U_16,U_15] :
( ra_Px1(U_15,U_16)
| ~ ra_Px1(U_15,U_17)
| U_17 != U_16 ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_17,U_15,U_16] :
( ra_Px1(U_15,U_16)
| ~ ra_Px1(U_15,U_17)
| U_17 != U_16 ),
inference(definitional_conversion,[status(esa)],[f_8_2]) ).
cnf(f_8_4,plain,
( ra_Px1(U_15,U_16)
| ~ ra_Px1(U_15,U_17)
| U_17 != U_16 ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [A,B,C] :
( rf1(B,C)
| ~ rf1(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rf1_substitution_1]) ).
fof(f_9_2,plain,
! [U_20,U_19,U_18] :
( rf1(U_19,U_18)
| ~ rf1(U_20,U_18)
| U_20 != U_19 ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_18,U_20,U_19] :
( rf1(U_19,U_18)
| ~ rf1(U_20,U_18)
| U_20 != U_19 ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( rf1(U_19,U_18)
| ~ rf1(U_20,U_18)
| U_20 != U_19 ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [A,B,C] :
( rf1(C,B)
| ~ rf1(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rf1_substitution_2]) ).
fof(f_10_2,plain,
! [U_23,U_22,U_21] :
( rf1(U_21,U_22)
| ~ rf1(U_21,U_23)
| U_23 != U_22 ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_23,U_21,U_22] :
( rf1(U_21,U_22)
| ~ rf1(U_21,U_23)
| U_23 != U_22 ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( rf1(U_21,U_22)
| ~ rf1(U_21,U_23)
| U_23 != U_22 ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [A,B,C] :
( rf2(B,C)
| ~ rf2(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rf2_substitution_1]) ).
fof(f_11_2,plain,
! [U_26,U_25,U_24] :
( rf2(U_25,U_24)
| ~ rf2(U_26,U_24)
| U_26 != U_25 ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_26,U_24,U_25] :
( rf2(U_25,U_24)
| ~ rf2(U_26,U_24)
| U_26 != U_25 ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( rf2(U_25,U_24)
| ~ rf2(U_26,U_24)
| U_26 != U_25 ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [A,B,C] :
( rf2(C,B)
| ~ rf2(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rf2_substitution_2]) ).
fof(f_12_2,plain,
! [U_29,U_28,U_27] :
( rf2(U_27,U_28)
| ~ rf2(U_27,U_29)
| U_29 != U_28 ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_29,U_28,U_27] :
( rf2(U_27,U_28)
| ~ rf2(U_27,U_29)
| U_29 != U_28 ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( rf2(U_27,U_28)
| ~ rf2(U_27,U_29)
| U_29 != U_28 ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [A,B,C] :
( rf3(B,C)
| ~ rf3(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rf3_substitution_1]) ).
fof(f_13_2,plain,
! [U_32,U_31,U_30] :
( rf3(U_31,U_30)
| ~ rf3(U_32,U_30)
| U_32 != U_31 ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_31,U_30,U_32] :
( rf3(U_31,U_30)
| ~ rf3(U_32,U_30)
| U_32 != U_31 ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( rf3(U_31,U_30)
| ~ rf3(U_32,U_30)
| U_32 != U_31 ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [A,B,C] :
( rf3(C,B)
| ~ rf3(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rf3_substitution_2]) ).
fof(f_14_2,plain,
! [U_35,U_34,U_33] :
( rf3(U_33,U_34)
| ~ rf3(U_33,U_35)
| U_35 != U_34 ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_34,U_33,U_35] :
( rf3(U_33,U_34)
| ~ rf3(U_33,U_35)
| U_35 != U_34 ),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
( rf3(U_33,U_34)
| ~ rf3(U_33,U_35)
| U_35 != U_34 ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_15_2,plain,
! [U_37,U_36] :
( xsd_integer(U_36)
| ~ xsd_integer(U_37)
| U_37 != U_36 ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_36,U_37] :
( xsd_integer(U_36)
| ~ xsd_integer(U_37)
| U_37 != U_36 ),
inference(definitional_conversion,[status(esa)],[f_15_2]) ).
cnf(f_15_4,plain,
( xsd_integer(U_36)
| ~ xsd_integer(U_37)
| U_37 != U_36 ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_16_2,plain,
! [U_39,U_38] :
( xsd_string(U_38)
| ~ xsd_string(U_39)
| U_39 != U_38 ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_39,U_38] :
( xsd_string(U_38)
| ~ xsd_string(U_39)
| U_39 != U_38 ),
inference(definitional_conversion,[status(esa)],[f_16_2]) ).
cnf(f_16_4,plain,
( xsd_string(U_38)
| ~ xsd_string(U_39)
| U_39 != U_38 ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_17_2,plain,
! [U_40] :
( ~ cowlNothing(U_40)
& cowlThing(U_40) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ! [U_42] : ~ cowlNothing(U_42)
& ! [U_41] : cowlThing(U_41) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
fof(f_17_4,plain,
( ! [U_42] : ~ cowlNothing(U_42)
& ! [U_41] : cowlThing(U_41) ),
inference(definitional_conversion,[status(esa)],[f_17_3]) ).
cnf(f_17_5,plain,
cowlThing(U_41),
inference(clausify,[status(thm)],[f_17_4]) ).
cnf(f_17_6,plain,
~ cowlNothing(U_42),
inference(clausify,[status(thm)],[f_17_4]) ).
fof(f_18_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_18_2,plain,
! [U_43] :
( ( xsd_string(U_43)
| xsd_integer(U_43) )
& ( ~ xsd_integer(U_43)
| ~ xsd_string(U_43) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
( ! [U_45] :
( xsd_string(U_45)
| xsd_integer(U_45) )
& ! [U_44] :
( ~ xsd_integer(U_44)
| ~ xsd_string(U_44) ) ),
inference(miniscope,[status(thm)],[f_18_2]) ).
fof(f_18_4,plain,
( ! [U_45] :
( xsd_string(U_45)
| xsd_integer(U_45) )
& ! [U_44] :
( ~ xsd_integer(U_44)
| ~ xsd_string(U_44) ) ),
inference(definitional_conversion,[status(esa)],[f_18_3]) ).
cnf(f_18_5,plain,
( ~ xsd_integer(U_44)
| ~ xsd_string(U_44) ),
inference(clausify,[status(thm)],[f_18_4]) ).
cnf(f_18_6,plain,
( xsd_string(U_45)
| xsd_integer(U_45) ),
inference(clausify,[status(thm)],[f_18_4]) ).
fof(f_19_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ! [Y] :
( ~ cp1xcomp(Y)
| ~ rf2(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rf3(X,Y) ) )
& ( ( ? [Y] :
( cp1xcomp(Y)
& rf2(X,Y) )
& ? [Y] :
( cp1(Y)
& rf1(X,Y) )
& ? [Y] :
( cp2(Y)
& rf3(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_19_2,plain,
! [U_52] :
( ( cUnsatisfiable(U_52)
| ! [U_51] :
( ~ cp1xcomp(U_51)
| ~ rf2(U_52,U_51) )
| ! [U_50] :
( ~ cp1(U_50)
| ~ rf1(U_52,U_50) )
| ! [U_49] :
( ~ cp2(U_49)
| ~ rf3(U_52,U_49) ) )
& ( ( ? [U_48] :
( cp1xcomp(U_48)
& rf2(U_52,U_48) )
& ? [U_47] :
( cp1(U_47)
& rf1(U_52,U_47) )
& ? [U_46] :
( cp2(U_46)
& rf3(U_52,U_46) ) )
| ~ cUnsatisfiable(U_52) ) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
( ! [U_54] :
( cUnsatisfiable(U_54)
| ! [U_51] :
( ~ cp1xcomp(U_51)
| ~ rf2(U_54,U_51) )
| ! [U_50] :
( ~ cp1(U_50)
| ~ rf1(U_54,U_50) )
| ! [U_49] :
( ~ cp2(U_49)
| ~ rf3(U_54,U_49) ) )
& ! [U_53] :
( ( ? [U_48] :
( cp1xcomp(U_48)
& rf2(U_53,U_48) )
& ? [U_47] :
( cp1(U_47)
& rf1(U_53,U_47) )
& ? [U_46] :
( cp2(U_46)
& rf3(U_53,U_46) ) )
| ~ cUnsatisfiable(U_53) ) ),
inference(miniscope,[status(thm)],[f_19_2]) ).
fof(f_19_4,plain,
( ! [U_54] :
( cUnsatisfiable(U_54)
| ! [U_51] :
( ~ cp1xcomp(U_51)
| ~ rf2(U_54,U_51) )
| ! [U_50] :
( ~ cp1(U_50)
| ~ rf1(U_54,U_50) )
| ! [U_49] :
( ~ cp2(U_49)
| ~ rf3(U_54,U_49) ) )
& ! [U_53] :
( ( ? [U_48] :
( cp1xcomp(U_48)
& rf2(U_53,U_48) )
& ? [U_47] :
( cp1(U_47)
& rf1(U_53,U_47) )
& cp2(sK1(U_53))
& rf3(U_53,sK1(U_53)) )
| ~ cUnsatisfiable(U_53) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_46,sK1(U_53))],[f_19_3]) ).
fof(f_19_5,plain,
( ! [U_54] :
( cUnsatisfiable(U_54)
| ! [U_51] :
( ~ cp1xcomp(U_51)
| ~ rf2(U_54,U_51) )
| ! [U_50] :
( ~ cp1(U_50)
| ~ rf1(U_54,U_50) )
| ! [U_49] :
( ~ cp2(U_49)
| ~ rf3(U_54,U_49) ) )
& ! [U_53] :
( ( ? [U_48] :
( cp1xcomp(U_48)
& rf2(U_53,U_48) )
& cp1(sK2(U_53))
& rf1(U_53,sK2(U_53))
& cp2(sK1(U_53))
& rf3(U_53,sK1(U_53)) )
| ~ cUnsatisfiable(U_53) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_47,sK2(U_53))],[f_19_4]) ).
fof(f_19_6,plain,
( ! [U_54] :
( cUnsatisfiable(U_54)
| ! [U_51] :
( ~ cp1xcomp(U_51)
| ~ rf2(U_54,U_51) )
| ! [U_50] :
( ~ cp1(U_50)
| ~ rf1(U_54,U_50) )
| ! [U_49] :
( ~ cp2(U_49)
| ~ rf3(U_54,U_49) ) )
& ! [U_53] :
( ( cp1xcomp(sK3(U_53))
& rf2(U_53,sK3(U_53))
& cp1(sK2(U_53))
& rf1(U_53,sK2(U_53))
& cp2(sK1(U_53))
& rf3(U_53,sK1(U_53)) )
| ~ cUnsatisfiable(U_53) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_48,sK3(U_53))],[f_19_5]) ).
fof(f_19_7,plain,
( ! [U_53] :
( cp1xcomp(sK3(U_53))
| ~ sP0(U_53) )
& ! [U_53] :
( rf2(U_53,sK3(U_53))
| ~ sP0(U_53) )
& ! [U_53] :
( cp1(sK2(U_53))
| ~ sP0(U_53) )
& ! [U_53] :
( rf1(U_53,sK2(U_53))
| ~ sP0(U_53) )
& ! [U_53] :
( cp2(sK1(U_53))
| ~ sP0(U_53) )
& ! [U_53] :
( rf3(U_53,sK1(U_53))
| ~ sP0(U_53) )
& ! [U_54,U_49,U_50,U_51] :
( cUnsatisfiable(U_54)
| ~ cp1xcomp(U_51)
| ~ rf2(U_54,U_51)
| ~ cp1(U_50)
| ~ rf1(U_54,U_50)
| ~ cp2(U_49)
| ~ rf3(U_54,U_49) )
& ! [U_53] :
( sP0(U_53)
| ~ cUnsatisfiable(U_53) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_19_6]) ).
cnf(f_19_8,plain,
( sP0(U_53)
| ~ cUnsatisfiable(U_53) ),
inference(clausify,[status(thm)],[f_19_7]) ).
cnf(f_19_9,plain,
( cUnsatisfiable(U_54)
| ~ cp1xcomp(U_51)
| ~ rf2(U_54,U_51)
| ~ cp1(U_50)
| ~ rf1(U_54,U_50)
| ~ cp2(U_49)
| ~ rf3(U_54,U_49) ),
inference(clausify,[status(thm)],[f_19_7]) ).
cnf(f_19_10,plain,
( rf3(U_53,sK1(U_53))
| ~ sP0(U_53) ),
inference(clausify,[status(thm)],[f_19_7]) ).
cnf(f_19_11,plain,
( cp2(sK1(U_53))
| ~ sP0(U_53) ),
inference(clausify,[status(thm)],[f_19_7]) ).
cnf(f_19_12,plain,
( rf1(U_53,sK2(U_53))
| ~ sP0(U_53) ),
inference(clausify,[status(thm)],[f_19_7]) ).
cnf(f_19_13,plain,
( cp1(sK2(U_53))
| ~ sP0(U_53) ),
inference(clausify,[status(thm)],[f_19_7]) ).
cnf(f_19_14,plain,
( rf2(U_53,sK3(U_53))
| ~ sP0(U_53) ),
inference(clausify,[status(thm)],[f_19_7]) ).
cnf(f_19_15,plain,
( cp1xcomp(sK3(U_53))
| ~ sP0(U_53) ),
inference(clausify,[status(thm)],[f_19_7]) ).
fof(f_20_1,plain,
! [X] :
( ( cp1(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp1(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_20_2,plain,
! [U_57] :
( ( cp1(U_57)
| ? [U_56] : ra_Px1(U_57,U_56) )
& ( ! [U_55] : ~ ra_Px1(U_57,U_55)
| ~ cp1(U_57) ) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
( ! [U_59] :
( cp1(U_59)
| ? [U_56] : ra_Px1(U_59,U_56) )
& ! [U_58] :
( ! [U_55] : ~ ra_Px1(U_58,U_55)
| ~ cp1(U_58) ) ),
inference(miniscope,[status(thm)],[f_20_2]) ).
fof(f_20_4,plain,
( ! [U_59] :
( cp1(U_59)
| ra_Px1(U_59,sK4(U_59)) )
& ! [U_58] :
( ! [U_55] : ~ ra_Px1(U_58,U_55)
| ~ cp1(U_58) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_56,sK4(U_59))],[f_20_3]) ).
fof(f_20_5,plain,
( ! [U_59] :
( cp1(U_59)
| ra_Px1(U_59,sK4(U_59)) )
& ! [U_58,U_55] :
( ~ ra_Px1(U_58,U_55)
| ~ cp1(U_58) ) ),
inference(definitional_conversion,[status(esa)],[f_20_4]) ).
cnf(f_20_6,plain,
( ~ ra_Px1(U_58,U_55)
| ~ cp1(U_58) ),
inference(clausify,[status(thm)],[f_20_5]) ).
cnf(f_20_7,plain,
( cp1(U_59)
| ra_Px1(U_59,sK4(U_59)) ),
inference(clausify,[status(thm)],[f_20_5]) ).
fof(f_21_1,plain,
! [X] :
( ( cp1xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cp1xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_21_2,plain,
! [U_62] :
( ( cp1xcomp(U_62)
| ! [U_61] : ~ ra_Px1(U_62,U_61) )
& ( ? [U_60] : ra_Px1(U_62,U_60)
| ~ cp1xcomp(U_62) ) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
( ! [U_64] :
( cp1xcomp(U_64)
| ! [U_61] : ~ ra_Px1(U_64,U_61) )
& ! [U_63] :
( ? [U_60] : ra_Px1(U_63,U_60)
| ~ cp1xcomp(U_63) ) ),
inference(miniscope,[status(thm)],[f_21_2]) ).
fof(f_21_4,plain,
( ! [U_64] :
( cp1xcomp(U_64)
| ! [U_61] : ~ ra_Px1(U_64,U_61) )
& ! [U_63] :
( ra_Px1(U_63,sK5(U_63))
| ~ cp1xcomp(U_63) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_60,sK5(U_63))],[f_21_3]) ).
fof(f_21_5,plain,
( ! [U_64,U_61] :
( cp1xcomp(U_64)
| ~ ra_Px1(U_64,U_61) )
& ! [U_63] :
( ra_Px1(U_63,sK5(U_63))
| ~ cp1xcomp(U_63) ) ),
inference(definitional_conversion,[status(esa)],[f_21_4]) ).
cnf(f_21_6,plain,
( ra_Px1(U_63,sK5(U_63))
| ~ cp1xcomp(U_63) ),
inference(clausify,[status(thm)],[f_21_5]) ).
cnf(f_21_7,plain,
( cp1xcomp(U_64)
| ~ ra_Px1(U_64,U_61) ),
inference(clausify,[status(thm)],[f_21_5]) ).
fof(f_22_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf1(X,Z)
| ~ rf1(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_22_2,plain,
! [U_67,U_66,U_65] :
( U_66 = U_65
| ~ rf1(U_67,U_65)
| ~ rf1(U_67,U_66) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
! [U_67,U_65,U_66] :
( U_66 = U_65
| ~ rf1(U_67,U_65)
| ~ rf1(U_67,U_66) ),
inference(definitional_conversion,[status(esa)],[f_22_2]) ).
cnf(f_22_4,plain,
( U_66 = U_65
| ~ rf1(U_67,U_65)
| ~ rf1(U_67,U_66) ),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf2(X,Z)
| ~ rf2(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_23_2,plain,
! [U_70,U_69,U_68] :
( U_69 = U_68
| ~ rf2(U_70,U_68)
| ~ rf2(U_70,U_69) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_69,U_70,U_68] :
( U_69 = U_68
| ~ rf2(U_70,U_68)
| ~ rf2(U_70,U_69) ),
inference(definitional_conversion,[status(esa)],[f_23_2]) ).
cnf(f_23_4,plain,
( U_69 = U_68
| ~ rf2(U_70,U_68)
| ~ rf2(U_70,U_69) ),
inference(clausify,[status(thm)],[f_23_3]) ).
fof(f_24_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rf3(X,Z)
| ~ rf3(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_24_2,plain,
! [U_73,U_72,U_71] :
( U_72 = U_71
| ~ rf3(U_73,U_71)
| ~ rf3(U_73,U_72) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
! [U_72,U_71,U_73] :
( U_72 = U_71
| ~ rf3(U_73,U_71)
| ~ rf3(U_73,U_72) ),
inference(definitional_conversion,[status(esa)],[f_24_2]) ).
cnf(f_24_4,plain,
( U_72 = U_71
| ~ rf3(U_73,U_71)
| ~ rf3(U_73,U_72) ),
inference(clausify,[status(thm)],[f_24_3]) ).
fof(f_25_1,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_25_2,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
inference(definitional_conversion,[status(esa)],[f_25_1]) ).
cnf(f_25_3,plain,
cUnsatisfiable(i2003_11_14_17_20_57644),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
! [X,Y] :
( rf1(X,Y)
| ~ rf3(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_26_2,plain,
! [U_75,U_74] :
( rf1(U_75,U_74)
| ~ rf3(U_75,U_74) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
! [U_75,U_74] :
( rf1(U_75,U_74)
| ~ rf3(U_75,U_74) ),
inference(definitional_conversion,[status(esa)],[f_26_2]) ).
cnf(f_26_4,plain,
( rf1(U_75,U_74)
| ~ rf3(U_75,U_74) ),
inference(clausify,[status(thm)],[f_26_3]) ).
fof(f_27_1,plain,
! [X,Y] :
( rf2(X,Y)
| ~ rf3(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_27_2,plain,
! [U_77,U_76] :
( rf2(U_77,U_76)
| ~ rf3(U_77,U_76) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
! [U_77,U_76] :
( rf2(U_77,U_76)
| ~ rf3(U_77,U_76) ),
inference(definitional_conversion,[status(esa)],[f_27_2]) ).
cnf(f_27_4,plain,
( rf2(U_77,U_76)
| ~ rf3(U_77,U_76) ),
inference(clausify,[status(thm)],[f_27_3]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( sK1(Eq_x_0) = sK1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( sK2(Eq_x_0) = sK2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( sK3(Eq_x_0) = sK3(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( sK4(Eq_x_0) = sK4(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( sK5(Eq_x_0) = sK5(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( cUnsatisfiable(Eq_y_0)
| ~ cUnsatisfiable(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_10,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( cp1(Eq_y_0)
| ~ cp1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( cp1xcomp(Eq_y_0)
| ~ cp1xcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( cp2(Eq_y_0)
| ~ cp2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,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_16,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_17,axiom,
( rf2(Eq_y_0,Eq_y_1)
| ~ rf2(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,
( rf3(Eq_y_0,Eq_y_1)
| ~ rf3(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,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_20,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_21,axiom,
( sP0(Eq_y_0)
| ~ sP0(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 : KRS106+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 12:12:26 UTC 2026
% 0.09/0.37 % CPUTime :
% 1.65/1.99 % SZS status Unsatisfiable for theBenchmark
% 1.65/1.99 % SZS output start Proof for theBenchmark
% See solution above
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