%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS162+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 : n017.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 08:47:25 AM UTC 2026
% Result : Theorem 122.77s 123.03s
% Output : Proof 122.77s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(cA_substitution_1,axiom,
! [A,B] :
( ( cA(A)
& A = B )
=> cA(B) ),
file('theBenchmark.p',cA_substitution_1) ).
fof(cB_substitution_1,axiom,
! [A,B] :
( ( cB(A)
& A = B )
=> cB(B) ),
file('theBenchmark.p',cB_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(rp_substitution_1,axiom,
! [A,B,C] :
( ( rp(A,C)
& A = B )
=> rp(B,C) ),
file('theBenchmark.p',rp_substitution_1) ).
fof(rp_substitution_2,axiom,
! [A,B,C] :
( ( rp(C,A)
& A = B )
=> rp(C,B) ),
file('theBenchmark.p',rp_substitution_2) ).
fof(rq_substitution_1,axiom,
! [A,B,C] :
( ( rq(A,C)
& A = B )
=> rq(B,C) ),
file('theBenchmark.p',rq_substitution_1) ).
fof(rq_substitution_2,axiom,
! [A,B,C] :
( ( rq(C,A)
& A = B )
=> rq(C,B) ),
file('theBenchmark.p',rq_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,Y] :
( rp(X,Y)
=> cA(Y) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X,Y] :
( rq(X,Y)
=> cB(Y) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
~ ( cA(X)
& cB(X) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X,Y] :
( rq(X,Y)
=> rr(X,Y) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X,Y] :
( rp(X,Y)
=> rr(X,Y) ),
file('theBenchmark.p',axiom_6) ).
fof(the_axiom,conjecture,
( ! [X] :
( ( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rq(X,Y2)
& rq(X,Y1)
& rq(X,Y0) )
& ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) ) )
=> ? [Y0,Y1,Y2,Y3,Y4] :
( Y3 != Y4
& Y2 != Y4
& Y2 != Y3
& Y1 != Y4
& Y1 != Y3
& Y1 != Y2
& Y0 != Y4
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rr(X,Y4)
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('theBenchmark.p',the_axiom) ).
fof(f_1_1,plain,
! [A,B] :
( cA(B)
| ~ cA(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cA_substitution_1]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( cA(U_0)
| ~ cA(U_1)
| U_1 != U_0 ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( cA(U_0)
| ~ cA(U_1)
| U_1 != U_0 ),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [A,B] :
( cB(B)
| ~ cB(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cB_substitution_1]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( cB(U_2)
| ~ cB(U_3)
| U_3 != U_2 ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( cB(U_2)
| ~ cB(U_3)
| U_3 != U_2 ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [A,B] :
( cowlNothing(B)
| ~ cowlNothing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlNothing_substitution_1]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( cowlNothing(U_4)
| ~ cowlNothing(U_5)
| U_5 != U_4 ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( cowlNothing(U_4)
| ~ cowlNothing(U_5)
| U_5 != U_4 ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [A,B] :
( cowlThing(B)
| ~ cowlThing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlThing_substitution_1]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( cowlThing(U_6)
| ~ cowlThing(U_7)
| U_7 != U_6 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( cowlThing(U_6)
| ~ cowlThing(U_7)
| U_7 != U_6 ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
! [A,B,C] :
( rp(B,C)
| ~ rp(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rp_substitution_1]) ).
fof(f_5_2,plain,
! [U_10,U_9,U_8] :
( rp(U_9,U_8)
| ~ rp(U_10,U_8)
| U_10 != U_9 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( rp(U_9,U_8)
| ~ rp(U_10,U_8)
| U_10 != U_9 ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [A,B,C] :
( rp(C,B)
| ~ rp(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rp_substitution_2]) ).
fof(f_6_2,plain,
! [U_13,U_12,U_11] :
( rp(U_11,U_12)
| ~ rp(U_11,U_13)
| U_13 != U_12 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( rp(U_11,U_12)
| ~ rp(U_11,U_13)
| U_13 != U_12 ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [A,B,C] :
( rq(B,C)
| ~ rq(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rq_substitution_1]) ).
fof(f_7_2,plain,
! [U_16,U_15,U_14] :
( rq(U_15,U_14)
| ~ rq(U_16,U_14)
| U_16 != U_15 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( rq(U_15,U_14)
| ~ rq(U_16,U_14)
| U_16 != U_15 ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [A,B,C] :
( rq(C,B)
| ~ rq(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rq_substitution_2]) ).
fof(f_8_2,plain,
! [U_19,U_18,U_17] :
( rq(U_17,U_18)
| ~ rq(U_17,U_19)
| U_19 != U_18 ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( rq(U_17,U_18)
| ~ rq(U_17,U_19)
| U_19 != U_18 ),
inference(clausify,[status(thm)],[f_8_2]) ).
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_22,U_21,U_20] :
( rr(U_21,U_20)
| ~ rr(U_22,U_20)
| U_22 != U_21 ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( rr(U_21,U_20)
| ~ rr(U_22,U_20)
| U_22 != U_21 ),
inference(clausify,[status(thm)],[f_9_2]) ).
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_25,U_24,U_23] :
( rr(U_23,U_24)
| ~ rr(U_23,U_25)
| U_25 != U_24 ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( rr(U_23,U_24)
| ~ rr(U_23,U_25)
| U_25 != U_24 ),
inference(clausify,[status(thm)],[f_10_2]) ).
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_27,U_26] :
( xsd_integer(U_26)
| ~ xsd_integer(U_27)
| U_27 != U_26 ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( xsd_integer(U_26)
| ~ xsd_integer(U_27)
| U_27 != U_26 ),
inference(clausify,[status(thm)],[f_11_2]) ).
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_29,U_28] :
( xsd_string(U_28)
| ~ xsd_string(U_29)
| U_29 != U_28 ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( xsd_string(U_28)
| ~ xsd_string(U_29)
| U_29 != U_28 ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_13_2,plain,
! [U_30] :
( ~ cowlNothing(U_30)
& cowlThing(U_30) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_32] : ~ cowlNothing(U_32)
& ! [U_31] : cowlThing(U_31) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
cowlThing(U_31),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_5,plain,
~ cowlNothing(U_32),
inference(clausify,[status(thm)],[f_13_3]) ).
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_33] :
( ( xsd_string(U_33)
| xsd_integer(U_33) )
& ( ~ xsd_integer(U_33)
| ~ xsd_string(U_33) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_35] :
( xsd_string(U_35)
| xsd_integer(U_35) )
& ! [U_34] :
( ~ xsd_integer(U_34)
| ~ xsd_string(U_34) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
cnf(f_14_4,plain,
( ~ xsd_integer(U_34)
| ~ xsd_string(U_34) ),
inference(clausify,[status(thm)],[f_14_3]) ).
cnf(f_14_5,plain,
( xsd_string(U_35)
| xsd_integer(U_35) ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [X,Y] :
( cA(Y)
| ~ rp(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_15_2,plain,
! [U_37,U_36] :
( cA(U_36)
| ~ rp(U_37,U_36) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( cA(U_36)
| ~ rp(U_37,U_36) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,plain,
! [X,Y] :
( cB(Y)
| ~ rq(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_16_2,plain,
! [U_39,U_38] :
( cB(U_38)
| ~ rq(U_39,U_38) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( cB(U_38)
| ~ rq(U_39,U_38) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
! [X] :
( ~ cA(X)
| ~ cB(X) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_17_2,plain,
! [U_40] :
( ~ cA(U_40)
| ~ cB(U_40) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( ~ cA(U_40)
| ~ cB(U_40) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
! [X,Y] :
( rr(X,Y)
| ~ rq(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_18_2,plain,
! [U_42,U_41] :
( rr(U_42,U_41)
| ~ rq(U_42,U_41) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( rr(U_42,U_41)
| ~ rq(U_42,U_41) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
! [X,Y] :
( rr(X,Y)
| ~ rp(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_19_2,plain,
! [U_44,U_43] :
( rr(U_44,U_43)
| ~ rp(U_44,U_43) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( rr(U_44,U_43)
| ~ rp(U_44,U_43) ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_1,negated_conjecture,
~ ( ! [X] :
( ( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rq(X,Y2)
& rq(X,Y1)
& rq(X,Y0) )
& ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) ) )
=> ? [Y0,Y1,Y2,Y3,Y4] :
( Y3 != Y4
& Y2 != Y4
& Y2 != Y3
& Y1 != Y4
& Y1 != Y3
& Y1 != Y2
& Y0 != Y4
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rr(X,Y4)
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_20_2,negated_conjecture,
( ? [X] :
( ! [Y0,Y1,Y2,Y3,Y4] :
( Y3 = Y4
| Y2 = Y4
| Y2 = Y3
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y4)
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rq(X,Y2)
& rq(X,Y1)
& rq(X,Y0) )
& ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) ) )
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_20_1]) ).
fof(f_20_3,negated_conjecture,
( ? [U_57] :
( ! [U_56,U_55,U_54,U_53,U_52] :
( U_53 = U_52
| U_54 = U_52
| U_54 = U_53
| U_55 = U_52
| U_55 = U_53
| U_55 = U_54
| U_56 = U_52
| U_56 = U_53
| U_56 = U_54
| U_56 = U_55
| ~ rr(U_57,U_52)
| ~ rr(U_57,U_53)
| ~ rr(U_57,U_54)
| ~ rr(U_57,U_55)
| ~ rr(U_57,U_56) )
& ? [U_51,U_50,U_49] :
( U_50 != U_49
& U_51 != U_49
& U_51 != U_50
& rq(U_57,U_49)
& rq(U_57,U_50)
& rq(U_57,U_51) )
& ? [U_48,U_47] :
( U_48 != U_47
& rp(U_57,U_47)
& rp(U_57,U_48) ) )
| ? [U_46] :
( ( ~ xsd_string(U_46)
& ~ xsd_integer(U_46) )
| ( xsd_integer(U_46)
& xsd_string(U_46) ) )
| ? [U_45] :
( cowlNothing(U_45)
| ~ cowlThing(U_45) ) ),
inference(variable_rename,[status(thm)],[f_20_2]) ).
fof(f_20_4,negated_conjecture,
( ? [U_57] :
( ! [U_56] :
( ! [U_55] :
( ! [U_54] :
( ! [U_53] :
( ! [U_52] :
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(U_57,U_52) )
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(U_57,U_53) )
| U_55 = U_54
| U_56 = U_54
| ~ rr(U_57,U_54) )
| U_56 = U_55
| ~ rr(U_57,U_55) )
| ~ rr(U_57,U_56) )
& ? [U_51] :
( ? [U_50] :
( ? [U_49] :
( U_50 != U_49
& U_51 != U_49
& rq(U_57,U_49) )
& U_51 != U_50
& rq(U_57,U_50) )
& rq(U_57,U_51) )
& ? [U_48] :
( ? [U_47] :
( U_48 != U_47
& rp(U_57,U_47) )
& rp(U_57,U_48) ) )
| ? [U_61] :
( ~ xsd_string(U_61)
& ~ xsd_integer(U_61) )
| ? [U_60] :
( xsd_integer(U_60)
& xsd_string(U_60) )
| ? [U_59] : cowlNothing(U_59)
| ? [U_58] : ~ cowlThing(U_58) ),
inference(miniscope,[status(thm)],[f_20_3]) ).
fof(f_20_5,negated_conjecture,
( ? [U_57] :
( ! [U_56] :
( ! [U_55] :
( ! [U_54] :
( ! [U_53] :
( ! [U_52] :
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(U_57,U_52) )
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(U_57,U_53) )
| U_55 = U_54
| U_56 = U_54
| ~ rr(U_57,U_54) )
| U_56 = U_55
| ~ rr(U_57,U_55) )
| ~ rr(U_57,U_56) )
& ? [U_51] :
( ? [U_50] :
( ? [U_49] :
( U_50 != U_49
& U_51 != U_49
& rq(U_57,U_49) )
& U_51 != U_50
& rq(U_57,U_50) )
& rq(U_57,U_51) )
& ? [U_48] :
( ? [U_47] :
( U_48 != U_47
& rp(U_57,U_47) )
& rp(U_57,U_48) ) )
| ? [U_61] :
( ~ xsd_string(U_61)
& ~ xsd_integer(U_61) )
| ? [U_60] :
( xsd_integer(U_60)
& xsd_string(U_60) )
| ? [U_59] : cowlNothing(U_59)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_58,sK1)],[f_20_4]) ).
fof(f_20_6,negated_conjecture,
( ? [U_57] :
( ! [U_56] :
( ! [U_55] :
( ! [U_54] :
( ! [U_53] :
( ! [U_52] :
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(U_57,U_52) )
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(U_57,U_53) )
| U_55 = U_54
| U_56 = U_54
| ~ rr(U_57,U_54) )
| U_56 = U_55
| ~ rr(U_57,U_55) )
| ~ rr(U_57,U_56) )
& ? [U_51] :
( ? [U_50] :
( ? [U_49] :
( U_50 != U_49
& U_51 != U_49
& rq(U_57,U_49) )
& U_51 != U_50
& rq(U_57,U_50) )
& rq(U_57,U_51) )
& ? [U_48] :
( ? [U_47] :
( U_48 != U_47
& rp(U_57,U_47) )
& rp(U_57,U_48) ) )
| ? [U_61] :
( ~ xsd_string(U_61)
& ~ xsd_integer(U_61) )
| ? [U_60] :
( xsd_integer(U_60)
& xsd_string(U_60) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_59,sK2)],[f_20_5]) ).
fof(f_20_7,negated_conjecture,
( ? [U_57] :
( ! [U_56] :
( ! [U_55] :
( ! [U_54] :
( ! [U_53] :
( ! [U_52] :
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(U_57,U_52) )
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(U_57,U_53) )
| U_55 = U_54
| U_56 = U_54
| ~ rr(U_57,U_54) )
| U_56 = U_55
| ~ rr(U_57,U_55) )
| ~ rr(U_57,U_56) )
& ? [U_51] :
( ? [U_50] :
( ? [U_49] :
( U_50 != U_49
& U_51 != U_49
& rq(U_57,U_49) )
& U_51 != U_50
& rq(U_57,U_50) )
& rq(U_57,U_51) )
& ? [U_48] :
( ? [U_47] :
( U_48 != U_47
& rp(U_57,U_47) )
& rp(U_57,U_48) ) )
| ? [U_61] :
( ~ xsd_string(U_61)
& ~ xsd_integer(U_61) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_60,sK3)],[f_20_6]) ).
fof(f_20_8,negated_conjecture,
( ? [U_57] :
( ! [U_56] :
( ! [U_55] :
( ! [U_54] :
( ! [U_53] :
( ! [U_52] :
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(U_57,U_52) )
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(U_57,U_53) )
| U_55 = U_54
| U_56 = U_54
| ~ rr(U_57,U_54) )
| U_56 = U_55
| ~ rr(U_57,U_55) )
| ~ rr(U_57,U_56) )
& ? [U_51] :
( ? [U_50] :
( ? [U_49] :
( U_50 != U_49
& U_51 != U_49
& rq(U_57,U_49) )
& U_51 != U_50
& rq(U_57,U_50) )
& rq(U_57,U_51) )
& ? [U_48] :
( ? [U_47] :
( U_48 != U_47
& rp(U_57,U_47) )
& rp(U_57,U_48) ) )
| ( ~ xsd_string(sK4)
& ~ xsd_integer(sK4) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_61,sK4)],[f_20_7]) ).
fof(f_20_9,negated_conjecture,
( ( ! [U_56] :
( ! [U_55] :
( ! [U_54] :
( ! [U_53] :
( ! [U_52] :
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(sK5,U_52) )
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(sK5,U_53) )
| U_55 = U_54
| U_56 = U_54
| ~ rr(sK5,U_54) )
| U_56 = U_55
| ~ rr(sK5,U_55) )
| ~ rr(sK5,U_56) )
& ? [U_51] :
( ? [U_50] :
( ? [U_49] :
( U_50 != U_49
& U_51 != U_49
& rq(sK5,U_49) )
& U_51 != U_50
& rq(sK5,U_50) )
& rq(sK5,U_51) )
& ? [U_48] :
( ? [U_47] :
( U_48 != U_47
& rp(sK5,U_47) )
& rp(sK5,U_48) ) )
| ( ~ xsd_string(sK4)
& ~ xsd_integer(sK4) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_57,sK5)],[f_20_8]) ).
fof(f_20_10,negated_conjecture,
( ( ! [U_56] :
( ! [U_55] :
( ! [U_54] :
( ! [U_53] :
( ! [U_52] :
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(sK5,U_52) )
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(sK5,U_53) )
| U_55 = U_54
| U_56 = U_54
| ~ rr(sK5,U_54) )
| U_56 = U_55
| ~ rr(sK5,U_55) )
| ~ rr(sK5,U_56) )
& ? [U_51] :
( ? [U_50] :
( ? [U_49] :
( U_50 != U_49
& U_51 != U_49
& rq(sK5,U_49) )
& U_51 != U_50
& rq(sK5,U_50) )
& rq(sK5,U_51) )
& ? [U_47] :
( sK6 != U_47
& rp(sK5,U_47) )
& rp(sK5,sK6) )
| ( ~ xsd_string(sK4)
& ~ xsd_integer(sK4) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_48,sK6)],[f_20_9]) ).
fof(f_20_11,negated_conjecture,
( ( ! [U_56] :
( ! [U_55] :
( ! [U_54] :
( ! [U_53] :
( ! [U_52] :
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(sK5,U_52) )
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(sK5,U_53) )
| U_55 = U_54
| U_56 = U_54
| ~ rr(sK5,U_54) )
| U_56 = U_55
| ~ rr(sK5,U_55) )
| ~ rr(sK5,U_56) )
& ? [U_51] :
( ? [U_50] :
( ? [U_49] :
( U_50 != U_49
& U_51 != U_49
& rq(sK5,U_49) )
& U_51 != U_50
& rq(sK5,U_50) )
& rq(sK5,U_51) )
& sK6 != sK7
& rp(sK5,sK7)
& rp(sK5,sK6) )
| ( ~ xsd_string(sK4)
& ~ xsd_integer(sK4) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_47,sK7)],[f_20_10]) ).
fof(f_20_12,negated_conjecture,
( ( ! [U_56] :
( ! [U_55] :
( ! [U_54] :
( ! [U_53] :
( ! [U_52] :
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(sK5,U_52) )
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(sK5,U_53) )
| U_55 = U_54
| U_56 = U_54
| ~ rr(sK5,U_54) )
| U_56 = U_55
| ~ rr(sK5,U_55) )
| ~ rr(sK5,U_56) )
& ? [U_50] :
( ? [U_49] :
( U_50 != U_49
& sK8 != U_49
& rq(sK5,U_49) )
& sK8 != U_50
& rq(sK5,U_50) )
& rq(sK5,sK8)
& sK6 != sK7
& rp(sK5,sK7)
& rp(sK5,sK6) )
| ( ~ xsd_string(sK4)
& ~ xsd_integer(sK4) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_51,sK8)],[f_20_11]) ).
fof(f_20_13,negated_conjecture,
( ( ! [U_56] :
( ! [U_55] :
( ! [U_54] :
( ! [U_53] :
( ! [U_52] :
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(sK5,U_52) )
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(sK5,U_53) )
| U_55 = U_54
| U_56 = U_54
| ~ rr(sK5,U_54) )
| U_56 = U_55
| ~ rr(sK5,U_55) )
| ~ rr(sK5,U_56) )
& ? [U_49] :
( sK9 != U_49
& sK8 != U_49
& rq(sK5,U_49) )
& sK8 != sK9
& rq(sK5,sK9)
& rq(sK5,sK8)
& sK6 != sK7
& rp(sK5,sK7)
& rp(sK5,sK6) )
| ( ~ xsd_string(sK4)
& ~ xsd_integer(sK4) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_50,sK9)],[f_20_12]) ).
fof(f_20_14,negated_conjecture,
( ( ! [U_56] :
( ! [U_55] :
( ! [U_54] :
( ! [U_53] :
( ! [U_52] :
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(sK5,U_52) )
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(sK5,U_53) )
| U_55 = U_54
| U_56 = U_54
| ~ rr(sK5,U_54) )
| U_56 = U_55
| ~ rr(sK5,U_55) )
| ~ rr(sK5,U_56) )
& sK9 != sK10
& sK8 != sK10
& rq(sK5,sK10)
& sK8 != sK9
& rq(sK5,sK9)
& rq(sK5,sK8)
& sK6 != sK7
& rp(sK5,sK7)
& rp(sK5,sK6) )
| ( ~ xsd_string(sK4)
& ~ xsd_integer(sK4) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_49,sK10)],[f_20_13]) ).
fof(f_20_15,negated_conjecture,
( ! [U_52,U_53,U_54,U_55,U_56] :
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(sK5,U_52)
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(sK5,U_53)
| U_55 = U_54
| U_56 = U_54
| ~ rr(sK5,U_54)
| U_56 = U_55
| ~ rr(sK5,U_55)
| ~ rr(sK5,U_56)
| ~ sP2(U_52,U_53,U_54,U_55,U_56) )
& ! [U_52,U_53,U_54,U_55,U_56] :
( sK9 != sK10
| ~ sP2(U_52,U_53,U_54,U_55,U_56) )
& ! [U_52,U_53,U_54,U_55,U_56] :
( sK8 != sK10
| ~ sP2(U_52,U_53,U_54,U_55,U_56) )
& ! [U_52,U_53,U_54,U_55,U_56] :
( rq(sK5,sK10)
| ~ sP2(U_52,U_53,U_54,U_55,U_56) )
& ! [U_52,U_53,U_54,U_55,U_56] :
( sK8 != sK9
| ~ sP2(U_52,U_53,U_54,U_55,U_56) )
& ! [U_52,U_53,U_54,U_55,U_56] :
( rq(sK5,sK9)
| ~ sP2(U_52,U_53,U_54,U_55,U_56) )
& ! [U_52,U_53,U_54,U_55,U_56] :
( rq(sK5,sK8)
| ~ sP2(U_52,U_53,U_54,U_55,U_56) )
& ! [U_52,U_53,U_54,U_55,U_56] :
( sK6 != sK7
| ~ sP2(U_52,U_53,U_54,U_55,U_56) )
& ! [U_52,U_53,U_54,U_55,U_56] :
( rp(sK5,sK7)
| ~ sP2(U_52,U_53,U_54,U_55,U_56) )
& ! [U_52,U_53,U_54,U_55,U_56] :
( rp(sK5,sK6)
| ~ sP2(U_52,U_53,U_54,U_55,U_56) )
& ( ~ xsd_string(sK4)
| ~ sP1 )
& ( ~ xsd_integer(sK4)
| ~ sP1 )
& ( xsd_integer(sK3)
| ~ sP0 )
& ( xsd_string(sK3)
| ~ sP0 )
& ! [U_52,U_53,U_54,U_55,U_56] :
( sP2(U_52,U_53,U_54,U_55,U_56)
| sP1
| sP0
| cowlNothing(sK2)
| ~ cowlThing(sK1) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2])],[f_20_14]) ).
cnf(f_20_16,negated_conjecture,
( sP2(U_52,U_53,U_54,U_55,U_56)
| sP1
| sP0
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_17,negated_conjecture,
( xsd_string(sK3)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_18,negated_conjecture,
( xsd_integer(sK3)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_19,negated_conjecture,
( ~ xsd_integer(sK4)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_20,negated_conjecture,
( ~ xsd_string(sK4)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_21,negated_conjecture,
( rp(sK5,sK6)
| ~ sP2(U_52,U_53,U_54,U_55,U_56) ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_22,negated_conjecture,
( rp(sK5,sK7)
| ~ sP2(U_52,U_53,U_54,U_55,U_56) ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_23,negated_conjecture,
( sK6 != sK7
| ~ sP2(U_52,U_53,U_54,U_55,U_56) ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_24,negated_conjecture,
( rq(sK5,sK8)
| ~ sP2(U_52,U_53,U_54,U_55,U_56) ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_25,negated_conjecture,
( rq(sK5,sK9)
| ~ sP2(U_52,U_53,U_54,U_55,U_56) ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_26,negated_conjecture,
( sK8 != sK9
| ~ sP2(U_52,U_53,U_54,U_55,U_56) ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_27,negated_conjecture,
( rq(sK5,sK10)
| ~ sP2(U_52,U_53,U_54,U_55,U_56) ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_28,negated_conjecture,
( sK8 != sK10
| ~ sP2(U_52,U_53,U_54,U_55,U_56) ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_29,negated_conjecture,
( sK9 != sK10
| ~ sP2(U_52,U_53,U_54,U_55,U_56) ),
inference(clausify,[status(thm)],[f_20_15]) ).
cnf(f_20_30,negated_conjecture,
( U_53 = U_52
| U_54 = U_52
| U_55 = U_52
| U_56 = U_52
| ~ rr(sK5,U_52)
| U_54 = U_53
| U_55 = U_53
| U_56 = U_53
| ~ rr(sK5,U_53)
| U_55 = U_54
| U_56 = U_54
| ~ rr(sK5,U_54)
| U_56 = U_55
| ~ rr(sK5,U_55)
| ~ rr(sK5,U_56)
| ~ sP2(U_52,U_53,U_54,U_55,U_56) ),
inference(clausify,[status(thm)],[f_20_15]) ).
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,
( cA(Eq_y_0)
| ~ cA(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_5,axiom,
( cB(Eq_y_0)
| ~ cB(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_6,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_7,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_8,axiom,
( rp(Eq_y_0,Eq_y_1)
| ~ rp(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_9,axiom,
( rq(Eq_y_0,Eq_y_1)
| ~ rq(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_10,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_11,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( sP2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| 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(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS162+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.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 12:11:26 UTC 2026
% 0.09/0.37 % CPUTime :
% 122.77/123.03 % SZS status Theorem for theBenchmark
% 122.77/123.03 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------