%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS127+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 : n004.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 08:47:20 AM UTC 2026
% Result : Unsatisfiable 2.46s 7.70s
% Output : Proof 2.46s
% 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(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(cdxcomp_substitution_1,axiom,
! [A,B] :
( ( cdxcomp(A)
& A = B )
=> cdxcomp(B) ),
file('theBenchmark.p',cdxcomp_substitution_1) ).
fof(cowlNothing_substitution_1,axiom,
! [A,B] :
( ( cowlNothing(A)
& A = B )
=> cowlNothing(B) ),
file('theBenchmark.p',cowlNothing_substitution_1) ).
fof(cowlThing_substitution_1,axiom,
! [A,B] :
( ( cowlThing(A)
& A = B )
=> cowlThing(B) ),
file('theBenchmark.p',cowlThing_substitution_1) ).
fof(ra_Px1_substitution_1,axiom,
! [A,B,C] :
( ( ra_Px1(A,C)
& A = B )
=> ra_Px1(B,C) ),
file('theBenchmark.p',ra_Px1_substitution_1) ).
fof(ra_Px1_substitution_2,axiom,
! [A,B,C] :
( ( ra_Px1(C,A)
& A = B )
=> ra_Px1(C,B) ),
file('theBenchmark.p',ra_Px1_substitution_2) ).
fof(rr_substitution_1,axiom,
! [A,B,C] :
( ( rr(A,C)
& A = B )
=> rr(B,C) ),
file('theBenchmark.p',rr_substitution_1) ).
fof(rr_substitution_2,axiom,
! [A,B,C] :
( ( rr(C,A)
& A = B )
=> rr(C,B) ),
file('theBenchmark.p',rr_substitution_2) ).
fof(xsd_integer_substitution_1,axiom,
! [A,B] :
( ( xsd_integer(A)
& A = B )
=> xsd_integer(B) ),
file('theBenchmark.p',xsd_integer_substitution_1) ).
fof(xsd_string_substitution_1,axiom,
! [A,B] :
( ( xsd_string(A)
& A = B )
=> xsd_string(B) ),
file('theBenchmark.p',xsd_string_substitution_1) ).
fof(axiom_0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y0,Y1] :
( ( rr(X,Y1)
& rr(X,Y0) )
=> Y0 = Y1 )
& ? [Y] :
( cd(Y)
& rr(X,Y) )
& ? [Y] :
( cc(Y)
& rr(X,Y) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cc(X)
=> cdxcomp(X) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
cUnsatisfiable(i2003_11_14_17_22_27794),
file('theBenchmark.p',axiom_6) ).
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] :
( cc(B)
| ~ cc(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cc_substitution_1]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( cc(U_2)
| ~ cc(U_3)
| U_3 != U_2 ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_2,U_3] :
( cc(U_2)
| ~ cc(U_3)
| U_3 != U_2 ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( cc(U_2)
| ~ cc(U_3)
| U_3 != U_2 ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [A,B] :
( cd(B)
| ~ cd(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cd_substitution_1]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( cd(U_4)
| ~ cd(U_5)
| U_5 != U_4 ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_4,U_5] :
( cd(U_4)
| ~ cd(U_5)
| U_5 != U_4 ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( cd(U_4)
| ~ cd(U_5)
| U_5 != U_4 ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [A,B] :
( cdxcomp(B)
| ~ cdxcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cdxcomp_substitution_1]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( cdxcomp(U_6)
| ~ cdxcomp(U_7)
| U_7 != U_6 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_6,U_7] :
( cdxcomp(U_6)
| ~ cdxcomp(U_7)
| U_7 != U_6 ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( cdxcomp(U_6)
| ~ cdxcomp(U_7)
| U_7 != U_6 ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [A,B] :
( cowlNothing(B)
| ~ cowlNothing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlNothing_substitution_1]) ).
fof(f_5_2,plain,
! [U_9,U_8] :
( cowlNothing(U_8)
| ~ cowlNothing(U_9)
| U_9 != U_8 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_8,U_9] :
( cowlNothing(U_8)
| ~ cowlNothing(U_9)
| U_9 != U_8 ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( cowlNothing(U_8)
| ~ cowlNothing(U_9)
| U_9 != U_8 ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [A,B] :
( cowlThing(B)
| ~ cowlThing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlThing_substitution_1]) ).
fof(f_6_2,plain,
! [U_11,U_10] :
( cowlThing(U_10)
| ~ cowlThing(U_11)
| U_11 != U_10 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_10,U_11] :
( cowlThing(U_10)
| ~ cowlThing(U_11)
| U_11 != U_10 ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( cowlThing(U_10)
| ~ cowlThing(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_12,U_13] :
( 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] :
( rr(B,C)
| ~ rr(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rr_substitution_1]) ).
fof(f_9_2,plain,
! [U_20,U_19,U_18] :
( rr(U_19,U_18)
| ~ rr(U_20,U_18)
| U_20 != U_19 ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_18,U_19,U_20] :
( rr(U_19,U_18)
| ~ rr(U_20,U_18)
| U_20 != U_19 ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( rr(U_19,U_18)
| ~ rr(U_20,U_18)
| U_20 != U_19 ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [A,B,C] :
( rr(C,B)
| ~ rr(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rr_substitution_2]) ).
fof(f_10_2,plain,
! [U_23,U_22,U_21] :
( rr(U_21,U_22)
| ~ rr(U_21,U_23)
| U_23 != U_22 ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_21,U_22,U_23] :
( rr(U_21,U_22)
| ~ rr(U_21,U_23)
| U_23 != U_22 ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( rr(U_21,U_22)
| ~ rr(U_21,U_23)
| U_23 != U_22 ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_11_2,plain,
! [U_25,U_24] :
( xsd_integer(U_24)
| ~ xsd_integer(U_25)
| U_25 != U_24 ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_25,U_24] :
( xsd_integer(U_24)
| ~ xsd_integer(U_25)
| U_25 != U_24 ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( xsd_integer(U_24)
| ~ xsd_integer(U_25)
| U_25 != U_24 ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_12_2,plain,
! [U_27,U_26] :
( xsd_string(U_26)
| ~ xsd_string(U_27)
| U_27 != U_26 ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_27,U_26] :
( xsd_string(U_26)
| ~ xsd_string(U_27)
| U_27 != U_26 ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( xsd_string(U_26)
| ~ xsd_string(U_27)
| U_27 != U_26 ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_13_2,plain,
! [U_28] :
( ~ cowlNothing(U_28)
& cowlThing(U_28) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_30] : ~ cowlNothing(U_30)
& ! [U_29] : cowlThing(U_29) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
fof(f_13_4,plain,
( ! [U_30] : ~ cowlNothing(U_30)
& ! [U_29] : cowlThing(U_29) ),
inference(definitional_conversion,[status(esa)],[f_13_3]) ).
cnf(f_13_5,plain,
cowlThing(U_29),
inference(clausify,[status(thm)],[f_13_4]) ).
cnf(f_13_6,plain,
~ cowlNothing(U_30),
inference(clausify,[status(thm)],[f_13_4]) ).
fof(f_14_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_14_2,plain,
! [U_31] :
( ( xsd_string(U_31)
| xsd_integer(U_31) )
& ( ~ xsd_integer(U_31)
| ~ xsd_string(U_31) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_33] :
( xsd_string(U_33)
| xsd_integer(U_33) )
& ! [U_32] :
( ~ xsd_integer(U_32)
| ~ xsd_string(U_32) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
fof(f_14_4,plain,
( ! [U_33] :
( xsd_string(U_33)
| xsd_integer(U_33) )
& ! [U_32] :
( ~ xsd_integer(U_32)
| ~ xsd_string(U_32) ) ),
inference(definitional_conversion,[status(esa)],[f_14_3]) ).
cnf(f_14_5,plain,
( ~ xsd_integer(U_32)
| ~ xsd_string(U_32) ),
inference(clausify,[status(thm)],[f_14_4]) ).
cnf(f_14_6,plain,
( xsd_string(U_33)
| xsd_integer(U_33) ),
inference(clausify,[status(thm)],[f_14_4]) ).
fof(f_15_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cd(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cc(Y)
| ~ rr(X,Y) ) )
& ( ( ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cd(Y)
& rr(X,Y) )
& ? [Y] :
( cc(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_15_2,plain,
! [U_42] :
( ( cUnsatisfiable(U_42)
| ? [U_41,U_40] :
( U_41 != U_40
& rr(U_42,U_40)
& rr(U_42,U_41) )
| ! [U_39] :
( ~ cd(U_39)
| ~ rr(U_42,U_39) )
| ! [U_38] :
( ~ cc(U_38)
| ~ rr(U_42,U_38) ) )
& ( ( ! [U_37,U_36] :
( U_37 = U_36
| ~ rr(U_42,U_36)
| ~ rr(U_42,U_37) )
& ? [U_35] :
( cd(U_35)
& rr(U_42,U_35) )
& ? [U_34] :
( cc(U_34)
& rr(U_42,U_34) ) )
| ~ cUnsatisfiable(U_42) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_44] :
( cUnsatisfiable(U_44)
| ? [U_41,U_40] :
( U_41 != U_40
& rr(U_44,U_40)
& rr(U_44,U_41) )
| ! [U_39] :
( ~ cd(U_39)
| ~ rr(U_44,U_39) )
| ! [U_38] :
( ~ cc(U_38)
| ~ rr(U_44,U_38) ) )
& ! [U_43] :
( ( ! [U_37,U_36] :
( U_37 = U_36
| ~ rr(U_43,U_36)
| ~ rr(U_43,U_37) )
& ? [U_35] :
( cd(U_35)
& rr(U_43,U_35) )
& ? [U_34] :
( cc(U_34)
& rr(U_43,U_34) ) )
| ~ cUnsatisfiable(U_43) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_44] :
( cUnsatisfiable(U_44)
| ? [U_41,U_40] :
( U_41 != U_40
& rr(U_44,U_40)
& rr(U_44,U_41) )
| ! [U_39] :
( ~ cd(U_39)
| ~ rr(U_44,U_39) )
| ! [U_38] :
( ~ cc(U_38)
| ~ rr(U_44,U_38) ) )
& ! [U_43] :
( ( ! [U_37,U_36] :
( U_37 = U_36
| ~ rr(U_43,U_36)
| ~ rr(U_43,U_37) )
& ? [U_35] :
( cd(U_35)
& rr(U_43,U_35) )
& cc(sK1(U_43))
& rr(U_43,sK1(U_43)) )
| ~ cUnsatisfiable(U_43) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_34,sK1(U_43))],[f_15_3]) ).
fof(f_15_5,plain,
( ! [U_44] :
( cUnsatisfiable(U_44)
| ? [U_41,U_40] :
( U_41 != U_40
& rr(U_44,U_40)
& rr(U_44,U_41) )
| ! [U_39] :
( ~ cd(U_39)
| ~ rr(U_44,U_39) )
| ! [U_38] :
( ~ cc(U_38)
| ~ rr(U_44,U_38) ) )
& ! [U_43] :
( ( ! [U_37,U_36] :
( U_37 = U_36
| ~ rr(U_43,U_36)
| ~ rr(U_43,U_37) )
& cd(sK2(U_43))
& rr(U_43,sK2(U_43))
& cc(sK1(U_43))
& rr(U_43,sK1(U_43)) )
| ~ cUnsatisfiable(U_43) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_35,sK2(U_43))],[f_15_4]) ).
fof(f_15_6,plain,
( ! [U_44] :
( cUnsatisfiable(U_44)
| ? [U_40] :
( sK3(U_44) != U_40
& rr(U_44,U_40)
& rr(U_44,sK3(U_44)) )
| ! [U_39] :
( ~ cd(U_39)
| ~ rr(U_44,U_39) )
| ! [U_38] :
( ~ cc(U_38)
| ~ rr(U_44,U_38) ) )
& ! [U_43] :
( ( ! [U_37,U_36] :
( U_37 = U_36
| ~ rr(U_43,U_36)
| ~ rr(U_43,U_37) )
& cd(sK2(U_43))
& rr(U_43,sK2(U_43))
& cc(sK1(U_43))
& rr(U_43,sK1(U_43)) )
| ~ cUnsatisfiable(U_43) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_41,sK3(U_44))],[f_15_5]) ).
fof(f_15_7,plain,
( ! [U_44] :
( cUnsatisfiable(U_44)
| ( sK3(U_44) != sK4(U_44)
& rr(U_44,sK4(U_44))
& rr(U_44,sK3(U_44)) )
| ! [U_39] :
( ~ cd(U_39)
| ~ rr(U_44,U_39) )
| ! [U_38] :
( ~ cc(U_38)
| ~ rr(U_44,U_38) ) )
& ! [U_43] :
( ( ! [U_37,U_36] :
( U_37 = U_36
| ~ rr(U_43,U_36)
| ~ rr(U_43,U_37) )
& cd(sK2(U_43))
& rr(U_43,sK2(U_43))
& cc(sK1(U_43))
& rr(U_43,sK1(U_43)) )
| ~ cUnsatisfiable(U_43) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_40,sK4(U_44))],[f_15_6]) ).
fof(f_15_8,plain,
( ! [U_44] :
( sK3(U_44) != sK4(U_44)
| ~ sP1(U_44) )
& ! [U_44] :
( rr(U_44,sK4(U_44))
| ~ sP1(U_44) )
& ! [U_44] :
( rr(U_44,sK3(U_44))
| ~ sP1(U_44) )
& ! [U_37,U_43,U_36] :
( U_37 = U_36
| ~ rr(U_43,U_36)
| ~ rr(U_43,U_37)
| ~ sP0(U_37,U_43,U_36) )
& ! [U_37,U_43,U_36] :
( cd(sK2(U_43))
| ~ sP0(U_37,U_43,U_36) )
& ! [U_37,U_43,U_36] :
( rr(U_43,sK2(U_43))
| ~ sP0(U_37,U_43,U_36) )
& ! [U_37,U_43,U_36] :
( cc(sK1(U_43))
| ~ sP0(U_37,U_43,U_36) )
& ! [U_37,U_43,U_36] :
( rr(U_43,sK1(U_43))
| ~ sP0(U_37,U_43,U_36) )
& ! [U_38,U_39,U_44] :
( cUnsatisfiable(U_44)
| sP1(U_44)
| ~ cd(U_39)
| ~ rr(U_44,U_39)
| ~ cc(U_38)
| ~ rr(U_44,U_38) )
& ! [U_37,U_43,U_36] :
( sP0(U_37,U_43,U_36)
| ~ cUnsatisfiable(U_43) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_15_7]) ).
cnf(f_15_9,plain,
( sP0(U_37,U_43,U_36)
| ~ cUnsatisfiable(U_43) ),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_10,plain,
( cUnsatisfiable(U_44)
| sP1(U_44)
| ~ cd(U_39)
| ~ rr(U_44,U_39)
| ~ cc(U_38)
| ~ rr(U_44,U_38) ),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_11,plain,
( rr(U_43,sK1(U_43))
| ~ sP0(U_37,U_43,U_36) ),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_12,plain,
( cc(sK1(U_43))
| ~ sP0(U_37,U_43,U_36) ),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_13,plain,
( rr(U_43,sK2(U_43))
| ~ sP0(U_37,U_43,U_36) ),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_14,plain,
( cd(sK2(U_43))
| ~ sP0(U_37,U_43,U_36) ),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_15,plain,
( U_37 = U_36
| ~ rr(U_43,U_36)
| ~ rr(U_43,U_37)
| ~ sP0(U_37,U_43,U_36) ),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_16,plain,
( rr(U_44,sK3(U_44))
| ~ sP1(U_44) ),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_17,plain,
( rr(U_44,sK4(U_44))
| ~ sP1(U_44) ),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_18,plain,
( sK3(U_44) != sK4(U_44)
| ~ sP1(U_44) ),
inference(clausify,[status(thm)],[f_15_8]) ).
fof(f_16_1,plain,
! [X] :
( cdxcomp(X)
| ~ cc(X) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_16_2,plain,
! [U_45] :
( cdxcomp(U_45)
| ~ cc(U_45) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_45] :
( cdxcomp(U_45)
| ~ cc(U_45) ),
inference(definitional_conversion,[status(esa)],[f_16_2]) ).
cnf(f_16_4,plain,
( cdxcomp(U_45)
| ~ cc(U_45) ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [X] :
( ( cd(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cd(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_17_2,plain,
! [U_48] :
( ( cd(U_48)
| ? [U_47] : ra_Px1(U_48,U_47) )
& ( ! [U_46] : ~ ra_Px1(U_48,U_46)
| ~ cd(U_48) ) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ! [U_50] :
( cd(U_50)
| ? [U_47] : ra_Px1(U_50,U_47) )
& ! [U_49] :
( ! [U_46] : ~ ra_Px1(U_49,U_46)
| ~ cd(U_49) ) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
fof(f_17_4,plain,
( ! [U_50] :
( cd(U_50)
| ra_Px1(U_50,sK5(U_50)) )
& ! [U_49] :
( ! [U_46] : ~ ra_Px1(U_49,U_46)
| ~ cd(U_49) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_47,sK5(U_50))],[f_17_3]) ).
fof(f_17_5,plain,
( ! [U_50] :
( cd(U_50)
| ra_Px1(U_50,sK5(U_50)) )
& ! [U_46,U_49] :
( ~ ra_Px1(U_49,U_46)
| ~ cd(U_49) ) ),
inference(definitional_conversion,[status(esa)],[f_17_4]) ).
cnf(f_17_6,plain,
( ~ ra_Px1(U_49,U_46)
| ~ cd(U_49) ),
inference(clausify,[status(thm)],[f_17_5]) ).
cnf(f_17_7,plain,
( cd(U_50)
| ra_Px1(U_50,sK5(U_50)) ),
inference(clausify,[status(thm)],[f_17_5]) ).
fof(f_18_1,plain,
! [X] :
( ( cdxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cdxcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_18_2,plain,
! [U_53] :
( ( cdxcomp(U_53)
| ! [U_52] : ~ ra_Px1(U_53,U_52) )
& ( ? [U_51] : ra_Px1(U_53,U_51)
| ~ cdxcomp(U_53) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
( ! [U_55] :
( cdxcomp(U_55)
| ! [U_52] : ~ ra_Px1(U_55,U_52) )
& ! [U_54] :
( ? [U_51] : ra_Px1(U_54,U_51)
| ~ cdxcomp(U_54) ) ),
inference(miniscope,[status(thm)],[f_18_2]) ).
fof(f_18_4,plain,
( ! [U_55] :
( cdxcomp(U_55)
| ! [U_52] : ~ ra_Px1(U_55,U_52) )
& ! [U_54] :
( ra_Px1(U_54,sK6(U_54))
| ~ cdxcomp(U_54) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_51,sK6(U_54))],[f_18_3]) ).
fof(f_18_5,plain,
( ! [U_52,U_55] :
( cdxcomp(U_55)
| ~ ra_Px1(U_55,U_52) )
& ! [U_54] :
( ra_Px1(U_54,sK6(U_54))
| ~ cdxcomp(U_54) ) ),
inference(definitional_conversion,[status(esa)],[f_18_4]) ).
cnf(f_18_6,plain,
( ra_Px1(U_54,sK6(U_54))
| ~ cdxcomp(U_54) ),
inference(clausify,[status(thm)],[f_18_5]) ).
cnf(f_18_7,plain,
( cdxcomp(U_55)
| ~ ra_Px1(U_55,U_52) ),
inference(clausify,[status(thm)],[f_18_5]) ).
fof(f_19_1,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_19_2,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(definitional_conversion,[status(esa)],[f_19_1]) ).
cnf(f_19_3,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(clausify,[status(thm)],[f_19_2]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( sK1(Eq_x_0) = sK1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( sK2(Eq_x_0) = sK2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( sK3(Eq_x_0) = sK3(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( sK4(Eq_x_0) = sK4(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( sK5(Eq_x_0) = sK5(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( 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,
( cc(Eq_y_0)
| ~ cc(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( cd(Eq_y_0)
| ~ cd(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( cdxcomp(Eq_y_0)
| ~ cdxcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( ra_Px1(Eq_y_0,Eq_y_1)
| ~ ra_Px1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( 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_18,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_20,axiom,
( sP0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_21,axiom,
( sP1(Eq_y_0)
| ~ sP1(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
% 0.00/0.02 % Problem : KRS127+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
% 0.09/5.36 % Computer : n004.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sat Sep 19 12:15:41 UTC 2026
% 0.09/5.36 % CPUTime :
% 2.46/7.70 % SZS status Unsatisfiable for theBenchmark
% 2.46/7.70 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------