%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS099+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 08:47:16 AM UTC 2026
% Result : Unsatisfiable 0.33s 15.66s
% Output : Proof 0.33s
% 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(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(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)
<=> ( ! [Y0,Y1] :
( ( rtt(X,Y1)
& rtt(X,Y0) )
=> Y0 = Y1 )
& ! [Y0,Y1] :
( ( rtt(X,Y1)
& rtt(X,Y0) )
=> Y0 = Y1 )
& ! [Y] :
( rtt(X,Y)
=> ca(Y) )
& ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rtt(X,Y2)
& rtt(X,Y1)
& rtt(X,Y0) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( ca(X)
=> ( cc(X)
| cd(X) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
cUnsatisfiable(i2003_11_14_17_20_29215),
file('theBenchmark.p',axiom_5) ).
fof(f_1_1,plain,
! [A,B] :
( cUnsatisfiable(B)
| ~ cUnsatisfiable(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cUnsatisfiable_substitution_1]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( cUnsatisfiable(U_0)
| ~ cUnsatisfiable(U_1)
| U_1 != U_0 ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_0,U_1] :
( cUnsatisfiable(U_0)
| ~ cUnsatisfiable(U_1)
| U_1 != U_0 ),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
( cUnsatisfiable(U_0)
| ~ cUnsatisfiable(U_1)
| U_1 != U_0 ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [A,B] :
( ca(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_4,U_5] :
( 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_7,U_6] :
( 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] :
( 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_9,U_8] :
( 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] :
( rtt(B,C)
| ~ rtt(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rtt_substitution_1]) ).
fof(f_7_2,plain,
! [U_14,U_13,U_12] :
( rtt(U_13,U_12)
| ~ rtt(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] :
( rtt(U_13,U_12)
| ~ rtt(U_14,U_12)
| U_14 != U_13 ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( rtt(U_13,U_12)
| ~ rtt(U_14,U_12)
| U_14 != U_13 ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [A,B,C] :
( rtt(C,B)
| ~ rtt(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rtt_substitution_2]) ).
fof(f_8_2,plain,
! [U_17,U_16,U_15] :
( rtt(U_15,U_16)
| ~ rtt(U_15,U_17)
| U_17 != U_16 ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_17,U_16,U_15] :
( rtt(U_15,U_16)
| ~ rtt(U_15,U_17)
| U_17 != U_16 ),
inference(definitional_conversion,[status(esa)],[f_8_2]) ).
cnf(f_8_4,plain,
( rtt(U_15,U_16)
| ~ rtt(U_15,U_17)
| U_17 != U_16 ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_9_2,plain,
! [U_19,U_18] :
( xsd_integer(U_18)
| ~ xsd_integer(U_19)
| U_19 != U_18 ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_19,U_18] :
( xsd_integer(U_18)
| ~ xsd_integer(U_19)
| U_19 != U_18 ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( xsd_integer(U_18)
| ~ xsd_integer(U_19)
| U_19 != U_18 ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_10_2,plain,
! [U_21,U_20] :
( xsd_string(U_20)
| ~ xsd_string(U_21)
| U_21 != U_20 ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_20,U_21] :
( xsd_string(U_20)
| ~ xsd_string(U_21)
| U_21 != U_20 ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( xsd_string(U_20)
| ~ xsd_string(U_21)
| U_21 != U_20 ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_11_2,plain,
! [U_22] :
( ~ cowlNothing(U_22)
& cowlThing(U_22) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_24] : ~ cowlNothing(U_24)
& ! [U_23] : cowlThing(U_23) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
( ! [U_24] : ~ cowlNothing(U_24)
& ! [U_23] : cowlThing(U_23) ),
inference(definitional_conversion,[status(esa)],[f_11_3]) ).
cnf(f_11_5,plain,
cowlThing(U_23),
inference(clausify,[status(thm)],[f_11_4]) ).
cnf(f_11_6,plain,
~ cowlNothing(U_24),
inference(clausify,[status(thm)],[f_11_4]) ).
fof(f_12_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_12_2,plain,
! [U_25] :
( ( xsd_string(U_25)
| xsd_integer(U_25) )
& ( ~ xsd_integer(U_25)
| ~ xsd_string(U_25) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_27] :
( xsd_string(U_27)
| xsd_integer(U_27) )
& ! [U_26] :
( ~ xsd_integer(U_26)
| ~ xsd_string(U_26) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_27] :
( xsd_string(U_27)
| xsd_integer(U_27) )
& ! [U_26] :
( ~ xsd_integer(U_26)
| ~ xsd_string(U_26) ) ),
inference(definitional_conversion,[status(esa)],[f_12_3]) ).
cnf(f_12_5,plain,
( ~ xsd_integer(U_26)
| ~ xsd_string(U_26) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_6,plain,
( xsd_string(U_27)
| xsd_integer(U_27) ),
inference(clausify,[status(thm)],[f_12_4]) ).
fof(f_13_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ? [Y0,Y1] :
( Y0 != Y1
& rtt(X,Y1)
& rtt(X,Y0) )
| ? [Y0,Y1] :
( Y0 != Y1
& rtt(X,Y1)
& rtt(X,Y0) )
| ? [Y] :
( ~ ca(Y)
& rtt(X,Y) )
| ! [Y0,Y1,Y2] :
( Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rtt(X,Y2)
| ~ rtt(X,Y1)
| ~ rtt(X,Y0) ) )
& ( ( ! [Y0,Y1] :
( Y0 = Y1
| ~ rtt(X,Y1)
| ~ rtt(X,Y0) )
& ! [Y0,Y1] :
( Y0 = Y1
| ~ rtt(X,Y1)
| ~ rtt(X,Y0) )
& ! [Y] :
( ca(Y)
| ~ rtt(X,Y) )
& ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rtt(X,Y2)
& rtt(X,Y1)
& rtt(X,Y0) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_13_2,plain,
! [U_44] :
( ( cUnsatisfiable(U_44)
| ? [U_43,U_42] :
( U_43 != U_42
& rtt(U_44,U_42)
& rtt(U_44,U_43) )
| ? [U_41,U_40] :
( U_41 != U_40
& rtt(U_44,U_40)
& rtt(U_44,U_41) )
| ? [U_39] :
( ~ ca(U_39)
& rtt(U_44,U_39) )
| ! [U_38,U_37,U_36] :
( U_37 = U_36
| U_38 = U_36
| U_38 = U_37
| ~ rtt(U_44,U_36)
| ~ rtt(U_44,U_37)
| ~ rtt(U_44,U_38) ) )
& ( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rtt(U_44,U_34)
| ~ rtt(U_44,U_35) )
& ! [U_33,U_32] :
( U_33 = U_32
| ~ rtt(U_44,U_32)
| ~ rtt(U_44,U_33) )
& ! [U_31] :
( ca(U_31)
| ~ rtt(U_44,U_31) )
& ? [U_30,U_29,U_28] :
( U_29 != U_28
& U_30 != U_28
& U_30 != U_29
& rtt(U_44,U_28)
& rtt(U_44,U_29)
& rtt(U_44,U_30) ) )
| ~ cUnsatisfiable(U_44) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_46] :
( cUnsatisfiable(U_46)
| ? [U_43,U_42] :
( U_43 != U_42
& rtt(U_46,U_42)
& rtt(U_46,U_43) )
| ? [U_41,U_40] :
( U_41 != U_40
& rtt(U_46,U_40)
& rtt(U_46,U_41) )
| ? [U_39] :
( ~ ca(U_39)
& rtt(U_46,U_39) )
| ! [U_38] :
( ! [U_37] :
( ! [U_36] :
( U_37 = U_36
| U_38 = U_36
| ~ rtt(U_46,U_36) )
| U_38 = U_37
| ~ rtt(U_46,U_37) )
| ~ rtt(U_46,U_38) ) )
& ! [U_45] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rtt(U_45,U_34)
| ~ rtt(U_45,U_35) )
& ! [U_33,U_32] :
( U_33 = U_32
| ~ rtt(U_45,U_32)
| ~ rtt(U_45,U_33) )
& ! [U_31] :
( ca(U_31)
| ~ rtt(U_45,U_31) )
& ? [U_30] :
( ? [U_29] :
( ? [U_28] :
( U_29 != U_28
& U_30 != U_28
& rtt(U_45,U_28) )
& U_30 != U_29
& rtt(U_45,U_29) )
& rtt(U_45,U_30) ) )
| ~ cUnsatisfiable(U_45) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
fof(f_13_4,plain,
( ! [U_46] :
( cUnsatisfiable(U_46)
| ? [U_43,U_42] :
( U_43 != U_42
& rtt(U_46,U_42)
& rtt(U_46,U_43) )
| ? [U_41,U_40] :
( U_41 != U_40
& rtt(U_46,U_40)
& rtt(U_46,U_41) )
| ? [U_39] :
( ~ ca(U_39)
& rtt(U_46,U_39) )
| ! [U_38] :
( ! [U_37] :
( ! [U_36] :
( U_37 = U_36
| U_38 = U_36
| ~ rtt(U_46,U_36) )
| U_38 = U_37
| ~ rtt(U_46,U_37) )
| ~ rtt(U_46,U_38) ) )
& ! [U_45] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rtt(U_45,U_34)
| ~ rtt(U_45,U_35) )
& ! [U_33,U_32] :
( U_33 = U_32
| ~ rtt(U_45,U_32)
| ~ rtt(U_45,U_33) )
& ! [U_31] :
( ca(U_31)
| ~ rtt(U_45,U_31) )
& ? [U_29] :
( ? [U_28] :
( U_29 != U_28
& sK1(U_45) != U_28
& rtt(U_45,U_28) )
& sK1(U_45) != U_29
& rtt(U_45,U_29) )
& rtt(U_45,sK1(U_45)) )
| ~ cUnsatisfiable(U_45) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_30,sK1(U_45))],[f_13_3]) ).
fof(f_13_5,plain,
( ! [U_46] :
( cUnsatisfiable(U_46)
| ? [U_43,U_42] :
( U_43 != U_42
& rtt(U_46,U_42)
& rtt(U_46,U_43) )
| ? [U_41,U_40] :
( U_41 != U_40
& rtt(U_46,U_40)
& rtt(U_46,U_41) )
| ? [U_39] :
( ~ ca(U_39)
& rtt(U_46,U_39) )
| ! [U_38] :
( ! [U_37] :
( ! [U_36] :
( U_37 = U_36
| U_38 = U_36
| ~ rtt(U_46,U_36) )
| U_38 = U_37
| ~ rtt(U_46,U_37) )
| ~ rtt(U_46,U_38) ) )
& ! [U_45] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rtt(U_45,U_34)
| ~ rtt(U_45,U_35) )
& ! [U_33,U_32] :
( U_33 = U_32
| ~ rtt(U_45,U_32)
| ~ rtt(U_45,U_33) )
& ! [U_31] :
( ca(U_31)
| ~ rtt(U_45,U_31) )
& ? [U_28] :
( sK2(U_45) != U_28
& sK1(U_45) != U_28
& rtt(U_45,U_28) )
& sK1(U_45) != sK2(U_45)
& rtt(U_45,sK2(U_45))
& rtt(U_45,sK1(U_45)) )
| ~ cUnsatisfiable(U_45) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_29,sK2(U_45))],[f_13_4]) ).
fof(f_13_6,plain,
( ! [U_46] :
( cUnsatisfiable(U_46)
| ? [U_43,U_42] :
( U_43 != U_42
& rtt(U_46,U_42)
& rtt(U_46,U_43) )
| ? [U_41,U_40] :
( U_41 != U_40
& rtt(U_46,U_40)
& rtt(U_46,U_41) )
| ? [U_39] :
( ~ ca(U_39)
& rtt(U_46,U_39) )
| ! [U_38] :
( ! [U_37] :
( ! [U_36] :
( U_37 = U_36
| U_38 = U_36
| ~ rtt(U_46,U_36) )
| U_38 = U_37
| ~ rtt(U_46,U_37) )
| ~ rtt(U_46,U_38) ) )
& ! [U_45] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rtt(U_45,U_34)
| ~ rtt(U_45,U_35) )
& ! [U_33,U_32] :
( U_33 = U_32
| ~ rtt(U_45,U_32)
| ~ rtt(U_45,U_33) )
& ! [U_31] :
( ca(U_31)
| ~ rtt(U_45,U_31) )
& sK2(U_45) != sK3(U_45)
& sK1(U_45) != sK3(U_45)
& rtt(U_45,sK3(U_45))
& sK1(U_45) != sK2(U_45)
& rtt(U_45,sK2(U_45))
& rtt(U_45,sK1(U_45)) )
| ~ cUnsatisfiable(U_45) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_28,sK3(U_45))],[f_13_5]) ).
fof(f_13_7,plain,
( ! [U_46] :
( cUnsatisfiable(U_46)
| ? [U_43,U_42] :
( U_43 != U_42
& rtt(U_46,U_42)
& rtt(U_46,U_43) )
| ? [U_41,U_40] :
( U_41 != U_40
& rtt(U_46,U_40)
& rtt(U_46,U_41) )
| ( ~ ca(sK4(U_46))
& rtt(U_46,sK4(U_46)) )
| ! [U_38] :
( ! [U_37] :
( ! [U_36] :
( U_37 = U_36
| U_38 = U_36
| ~ rtt(U_46,U_36) )
| U_38 = U_37
| ~ rtt(U_46,U_37) )
| ~ rtt(U_46,U_38) ) )
& ! [U_45] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rtt(U_45,U_34)
| ~ rtt(U_45,U_35) )
& ! [U_33,U_32] :
( U_33 = U_32
| ~ rtt(U_45,U_32)
| ~ rtt(U_45,U_33) )
& ! [U_31] :
( ca(U_31)
| ~ rtt(U_45,U_31) )
& sK2(U_45) != sK3(U_45)
& sK1(U_45) != sK3(U_45)
& rtt(U_45,sK3(U_45))
& sK1(U_45) != sK2(U_45)
& rtt(U_45,sK2(U_45))
& rtt(U_45,sK1(U_45)) )
| ~ cUnsatisfiable(U_45) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_39,sK4(U_46))],[f_13_6]) ).
fof(f_13_8,plain,
( ! [U_46] :
( cUnsatisfiable(U_46)
| ? [U_43,U_42] :
( U_43 != U_42
& rtt(U_46,U_42)
& rtt(U_46,U_43) )
| ? [U_40] :
( sK5(U_46) != U_40
& rtt(U_46,U_40)
& rtt(U_46,sK5(U_46)) )
| ( ~ ca(sK4(U_46))
& rtt(U_46,sK4(U_46)) )
| ! [U_38] :
( ! [U_37] :
( ! [U_36] :
( U_37 = U_36
| U_38 = U_36
| ~ rtt(U_46,U_36) )
| U_38 = U_37
| ~ rtt(U_46,U_37) )
| ~ rtt(U_46,U_38) ) )
& ! [U_45] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rtt(U_45,U_34)
| ~ rtt(U_45,U_35) )
& ! [U_33,U_32] :
( U_33 = U_32
| ~ rtt(U_45,U_32)
| ~ rtt(U_45,U_33) )
& ! [U_31] :
( ca(U_31)
| ~ rtt(U_45,U_31) )
& sK2(U_45) != sK3(U_45)
& sK1(U_45) != sK3(U_45)
& rtt(U_45,sK3(U_45))
& sK1(U_45) != sK2(U_45)
& rtt(U_45,sK2(U_45))
& rtt(U_45,sK1(U_45)) )
| ~ cUnsatisfiable(U_45) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_41,sK5(U_46))],[f_13_7]) ).
fof(f_13_9,plain,
( ! [U_46] :
( cUnsatisfiable(U_46)
| ? [U_43,U_42] :
( U_43 != U_42
& rtt(U_46,U_42)
& rtt(U_46,U_43) )
| ( sK5(U_46) != sK6(U_46)
& rtt(U_46,sK6(U_46))
& rtt(U_46,sK5(U_46)) )
| ( ~ ca(sK4(U_46))
& rtt(U_46,sK4(U_46)) )
| ! [U_38] :
( ! [U_37] :
( ! [U_36] :
( U_37 = U_36
| U_38 = U_36
| ~ rtt(U_46,U_36) )
| U_38 = U_37
| ~ rtt(U_46,U_37) )
| ~ rtt(U_46,U_38) ) )
& ! [U_45] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rtt(U_45,U_34)
| ~ rtt(U_45,U_35) )
& ! [U_33,U_32] :
( U_33 = U_32
| ~ rtt(U_45,U_32)
| ~ rtt(U_45,U_33) )
& ! [U_31] :
( ca(U_31)
| ~ rtt(U_45,U_31) )
& sK2(U_45) != sK3(U_45)
& sK1(U_45) != sK3(U_45)
& rtt(U_45,sK3(U_45))
& sK1(U_45) != sK2(U_45)
& rtt(U_45,sK2(U_45))
& rtt(U_45,sK1(U_45)) )
| ~ cUnsatisfiable(U_45) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_40,sK6(U_46))],[f_13_8]) ).
fof(f_13_10,plain,
( ! [U_46] :
( cUnsatisfiable(U_46)
| ? [U_42] :
( sK7(U_46) != U_42
& rtt(U_46,U_42)
& rtt(U_46,sK7(U_46)) )
| ( sK5(U_46) != sK6(U_46)
& rtt(U_46,sK6(U_46))
& rtt(U_46,sK5(U_46)) )
| ( ~ ca(sK4(U_46))
& rtt(U_46,sK4(U_46)) )
| ! [U_38] :
( ! [U_37] :
( ! [U_36] :
( U_37 = U_36
| U_38 = U_36
| ~ rtt(U_46,U_36) )
| U_38 = U_37
| ~ rtt(U_46,U_37) )
| ~ rtt(U_46,U_38) ) )
& ! [U_45] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rtt(U_45,U_34)
| ~ rtt(U_45,U_35) )
& ! [U_33,U_32] :
( U_33 = U_32
| ~ rtt(U_45,U_32)
| ~ rtt(U_45,U_33) )
& ! [U_31] :
( ca(U_31)
| ~ rtt(U_45,U_31) )
& sK2(U_45) != sK3(U_45)
& sK1(U_45) != sK3(U_45)
& rtt(U_45,sK3(U_45))
& sK1(U_45) != sK2(U_45)
& rtt(U_45,sK2(U_45))
& rtt(U_45,sK1(U_45)) )
| ~ cUnsatisfiable(U_45) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_43,sK7(U_46))],[f_13_9]) ).
fof(f_13_11,plain,
( ! [U_46] :
( cUnsatisfiable(U_46)
| ( sK7(U_46) != sK8(U_46)
& rtt(U_46,sK8(U_46))
& rtt(U_46,sK7(U_46)) )
| ( sK5(U_46) != sK6(U_46)
& rtt(U_46,sK6(U_46))
& rtt(U_46,sK5(U_46)) )
| ( ~ ca(sK4(U_46))
& rtt(U_46,sK4(U_46)) )
| ! [U_38] :
( ! [U_37] :
( ! [U_36] :
( U_37 = U_36
| U_38 = U_36
| ~ rtt(U_46,U_36) )
| U_38 = U_37
| ~ rtt(U_46,U_37) )
| ~ rtt(U_46,U_38) ) )
& ! [U_45] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rtt(U_45,U_34)
| ~ rtt(U_45,U_35) )
& ! [U_33,U_32] :
( U_33 = U_32
| ~ rtt(U_45,U_32)
| ~ rtt(U_45,U_33) )
& ! [U_31] :
( ca(U_31)
| ~ rtt(U_45,U_31) )
& sK2(U_45) != sK3(U_45)
& sK1(U_45) != sK3(U_45)
& rtt(U_45,sK3(U_45))
& sK1(U_45) != sK2(U_45)
& rtt(U_45,sK2(U_45))
& rtt(U_45,sK1(U_45)) )
| ~ cUnsatisfiable(U_45) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_42,sK8(U_46))],[f_13_10]) ).
fof(f_13_12,plain,
( ! [U_46] :
( sK7(U_46) != sK8(U_46)
| ~ sP3(U_46) )
& ! [U_46] :
( rtt(U_46,sK8(U_46))
| ~ sP3(U_46) )
& ! [U_46] :
( rtt(U_46,sK7(U_46))
| ~ sP3(U_46) )
& ! [U_46] :
( sK5(U_46) != sK6(U_46)
| ~ sP2(U_46) )
& ! [U_46] :
( rtt(U_46,sK6(U_46))
| ~ sP2(U_46) )
& ! [U_46] :
( rtt(U_46,sK5(U_46))
| ~ sP2(U_46) )
& ! [U_46] :
( ~ ca(sK4(U_46))
| ~ sP1(U_46) )
& ! [U_46] :
( rtt(U_46,sK4(U_46))
| ~ sP1(U_46) )
& ! [U_33,U_34,U_35,U_32,U_31,U_45] :
( U_35 = U_34
| ~ rtt(U_45,U_34)
| ~ rtt(U_45,U_35)
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) )
& ! [U_33,U_34,U_35,U_32,U_31,U_45] :
( U_33 = U_32
| ~ rtt(U_45,U_32)
| ~ rtt(U_45,U_33)
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) )
& ! [U_33,U_34,U_35,U_32,U_31,U_45] :
( ca(U_31)
| ~ rtt(U_45,U_31)
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) )
& ! [U_33,U_34,U_35,U_32,U_31,U_45] :
( sK2(U_45) != sK3(U_45)
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) )
& ! [U_33,U_34,U_35,U_32,U_31,U_45] :
( sK1(U_45) != sK3(U_45)
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) )
& ! [U_33,U_34,U_35,U_32,U_31,U_45] :
( rtt(U_45,sK3(U_45))
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) )
& ! [U_33,U_34,U_35,U_32,U_31,U_45] :
( sK1(U_45) != sK2(U_45)
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) )
& ! [U_33,U_34,U_35,U_32,U_31,U_45] :
( rtt(U_45,sK2(U_45))
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) )
& ! [U_33,U_34,U_35,U_32,U_31,U_45] :
( rtt(U_45,sK1(U_45))
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) )
& ! [U_36,U_37,U_38,U_46] :
( cUnsatisfiable(U_46)
| sP3(U_46)
| sP2(U_46)
| sP1(U_46)
| U_37 = U_36
| U_38 = U_36
| ~ rtt(U_46,U_36)
| U_38 = U_37
| ~ rtt(U_46,U_37)
| ~ rtt(U_46,U_38) )
& ! [U_33,U_34,U_35,U_32,U_31,U_45] :
( sP0(U_33,U_34,U_35,U_32,U_31,U_45)
| ~ cUnsatisfiable(U_45) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3])],[f_13_11]) ).
cnf(f_13_13,plain,
( sP0(U_33,U_34,U_35,U_32,U_31,U_45)
| ~ cUnsatisfiable(U_45) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_14,plain,
( cUnsatisfiable(U_46)
| sP3(U_46)
| sP2(U_46)
| sP1(U_46)
| U_37 = U_36
| U_38 = U_36
| ~ rtt(U_46,U_36)
| U_38 = U_37
| ~ rtt(U_46,U_37)
| ~ rtt(U_46,U_38) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_15,plain,
( rtt(U_45,sK1(U_45))
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_16,plain,
( rtt(U_45,sK2(U_45))
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_17,plain,
( sK1(U_45) != sK2(U_45)
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_18,plain,
( rtt(U_45,sK3(U_45))
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_19,plain,
( sK1(U_45) != sK3(U_45)
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_20,plain,
( sK2(U_45) != sK3(U_45)
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_21,plain,
( ca(U_31)
| ~ rtt(U_45,U_31)
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_22,plain,
( U_33 = U_32
| ~ rtt(U_45,U_32)
| ~ rtt(U_45,U_33)
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_23,plain,
( U_35 = U_34
| ~ rtt(U_45,U_34)
| ~ rtt(U_45,U_35)
| ~ sP0(U_33,U_34,U_35,U_32,U_31,U_45) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_24,plain,
( rtt(U_46,sK4(U_46))
| ~ sP1(U_46) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_25,plain,
( ~ ca(sK4(U_46))
| ~ sP1(U_46) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_26,plain,
( rtt(U_46,sK5(U_46))
| ~ sP2(U_46) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_27,plain,
( rtt(U_46,sK6(U_46))
| ~ sP2(U_46) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_28,plain,
( sK5(U_46) != sK6(U_46)
| ~ sP2(U_46) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_29,plain,
( rtt(U_46,sK7(U_46))
| ~ sP3(U_46) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_30,plain,
( rtt(U_46,sK8(U_46))
| ~ sP3(U_46) ),
inference(clausify,[status(thm)],[f_13_12]) ).
cnf(f_13_31,plain,
( sK7(U_46) != sK8(U_46)
| ~ sP3(U_46) ),
inference(clausify,[status(thm)],[f_13_12]) ).
fof(f_14_1,plain,
! [X] :
( cc(X)
| cd(X)
| ~ ca(X) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_14_2,plain,
! [U_47] :
( cc(U_47)
| cd(U_47)
| ~ ca(U_47) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_47] :
( cc(U_47)
| cd(U_47)
| ~ ca(U_47) ),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
( cc(U_47)
| cd(U_47)
| ~ ca(U_47) ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_15_2,plain,
! [U_48] :
( ~ cd(U_48)
| ~ cc(U_48) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_48] :
( ~ cd(U_48)
| ~ cc(U_48) ),
inference(definitional_conversion,[status(esa)],[f_15_2]) ).
cnf(f_15_4,plain,
( ~ cd(U_48)
| ~ cc(U_48) ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
cUnsatisfiable(i2003_11_14_17_20_29215),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_16_2,plain,
cUnsatisfiable(i2003_11_14_17_20_29215),
inference(definitional_conversion,[status(esa)],[f_16_1]) ).
cnf(f_16_3,plain,
cUnsatisfiable(i2003_11_14_17_20_29215),
inference(clausify,[status(thm)],[f_16_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,
( sK7(Eq_x_0) = sK7(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( sK8(Eq_x_0) = sK8(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( cUnsatisfiable(Eq_y_0)
| ~ cUnsatisfiable(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( ca(Eq_y_0)
| ~ ca(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( cc(Eq_y_0)
| ~ cc(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( cd(Eq_y_0)
| ~ cd(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,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_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,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ sP0(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| 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_22,axiom,
( sP1(Eq_y_0)
| ~ sP1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_23,axiom,
( sP2(Eq_y_0)
| ~ sP2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_24,axiom,
( sP3(Eq_y_0)
| ~ sP3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS099+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_UNS_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/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
% 0.07/15.41 % CPULimit : 300
% 0.07/15.41 % WCLimit : 300
% 0.07/15.41 % DateTime : Sat Sep 19 12:11:52 UTC 2026
% 0.07/15.41 % CPUTime :
% 0.33/15.66 % SZS status Unsatisfiable for theBenchmark
% 0.33/15.66 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------