%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS172+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 : n001.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 08:47:27 AM UTC 2026
% Result : Theorem 1.56s 1.82s
% Output : Proof 1.56s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
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(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(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] :
( cd(X)
<=> rq(X,iv) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cd(X)
<=> rp(X,iv) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X,Y,Z] :
( ( rp(X,Z)
& rp(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X,Y] :
( rp(X,Y)
=> cd(X) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X,Y,Z] :
( ( rq(X,Z)
& rq(X,Y) )
=> Y = Z ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X,Y] :
( rq(X,Y)
=> cd(X) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
cowlThing(iv),
file('theBenchmark.p',axiom_8) ).
fof(the_axiom,conjecture,
( ! [X,Y] :
( rq(X,Y)
<=> rp(X,Y) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('theBenchmark.p',the_axiom) ).
fof(f_1_1,plain,
! [A,B] :
( cd(B)
| ~ cd(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cd_substitution_1]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( cd(U_0)
| ~ cd(U_1)
| U_1 != U_0 ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( cd(U_0)
| ~ cd(U_1)
| U_1 != U_0 ),
inference(clausify,[status(thm)],[f_1_2]) ).
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]) ).
cnf(f_2_3,plain,
( cowlNothing(U_2)
| ~ cowlNothing(U_3)
| U_3 != U_2 ),
inference(clausify,[status(thm)],[f_2_2]) ).
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]) ).
cnf(f_3_3,plain,
( cowlThing(U_4)
| ~ cowlThing(U_5)
| U_5 != U_4 ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [A,B,C] :
( rp(B,C)
| ~ rp(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rp_substitution_1]) ).
fof(f_4_2,plain,
! [U_8,U_7,U_6] :
( rp(U_7,U_6)
| ~ rp(U_8,U_6)
| U_8 != U_7 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( rp(U_7,U_6)
| ~ rp(U_8,U_6)
| U_8 != U_7 ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
! [A,B,C] :
( rp(C,B)
| ~ rp(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rp_substitution_2]) ).
fof(f_5_2,plain,
! [U_11,U_10,U_9] :
( rp(U_9,U_10)
| ~ rp(U_9,U_11)
| U_11 != U_10 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( rp(U_9,U_10)
| ~ rp(U_9,U_11)
| U_11 != U_10 ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [A,B,C] :
( rq(B,C)
| ~ rq(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rq_substitution_1]) ).
fof(f_6_2,plain,
! [U_14,U_13,U_12] :
( rq(U_13,U_12)
| ~ rq(U_14,U_12)
| U_14 != U_13 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( rq(U_13,U_12)
| ~ rq(U_14,U_12)
| U_14 != U_13 ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [A,B,C] :
( rq(C,B)
| ~ rq(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rq_substitution_2]) ).
fof(f_7_2,plain,
! [U_17,U_16,U_15] :
( rq(U_15,U_16)
| ~ rq(U_15,U_17)
| U_17 != U_16 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( rq(U_15,U_16)
| ~ rq(U_15,U_17)
| U_17 != U_16 ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_8_2,plain,
! [U_19,U_18] :
( xsd_integer(U_18)
| ~ xsd_integer(U_19)
| U_19 != U_18 ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( xsd_integer(U_18)
| ~ xsd_integer(U_19)
| U_19 != U_18 ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_9_2,plain,
! [U_21,U_20] :
( xsd_string(U_20)
| ~ xsd_string(U_21)
| U_21 != U_20 ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( xsd_string(U_20)
| ~ xsd_string(U_21)
| U_21 != U_20 ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_10_2,plain,
! [U_22] :
( ~ cowlNothing(U_22)
& cowlThing(U_22) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_24] : ~ cowlNothing(U_24)
& ! [U_23] : cowlThing(U_23) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
cowlThing(U_23),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_5,plain,
~ cowlNothing(U_24),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_11_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_11_1]) ).
fof(f_11_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_11_2]) ).
cnf(f_11_4,plain,
( ~ xsd_integer(U_26)
| ~ xsd_string(U_26) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_5,plain,
( xsd_string(U_27)
| xsd_integer(U_27) ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [X] :
( ( cd(X)
| ~ rq(X,iv) )
& ( rq(X,iv)
| ~ cd(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_12_2,plain,
! [U_28] :
( ( cd(U_28)
| ~ rq(U_28,iv) )
& ( rq(U_28,iv)
| ~ cd(U_28) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_30] :
( cd(U_30)
| ~ rq(U_30,iv) )
& ! [U_29] :
( rq(U_29,iv)
| ~ cd(U_29) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
cnf(f_12_4,plain,
( rq(U_29,iv)
| ~ cd(U_29) ),
inference(clausify,[status(thm)],[f_12_3]) ).
cnf(f_12_5,plain,
( cd(U_30)
| ~ rq(U_30,iv) ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [X] :
( ( cd(X)
| ~ rp(X,iv) )
& ( rp(X,iv)
| ~ cd(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_13_2,plain,
! [U_31] :
( ( cd(U_31)
| ~ rp(U_31,iv) )
& ( rp(U_31,iv)
| ~ cd(U_31) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_33] :
( cd(U_33)
| ~ rp(U_33,iv) )
& ! [U_32] :
( rp(U_32,iv)
| ~ cd(U_32) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( rp(U_32,iv)
| ~ cd(U_32) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_5,plain,
( cd(U_33)
| ~ rp(U_33,iv) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rp(X,Z)
| ~ rp(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_14_2,plain,
! [U_36,U_35,U_34] :
( U_35 = U_34
| ~ rp(U_36,U_34)
| ~ rp(U_36,U_35) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( U_35 = U_34
| ~ rp(U_36,U_34)
| ~ rp(U_36,U_35) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
! [X,Y] :
( cd(X)
| ~ rp(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_15_2,plain,
! [U_38,U_37] :
( cd(U_38)
| ~ rp(U_38,U_37) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_38] :
( ! [U_37] : ~ rp(U_38,U_37)
| cd(U_38) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
cnf(f_15_4,plain,
( ~ rp(U_38,U_37)
| cd(U_38) ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [X,Y,Z] :
( Y = Z
| ~ rq(X,Z)
| ~ rq(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_16_2,plain,
! [U_41,U_40,U_39] :
( U_40 = U_39
| ~ rq(U_41,U_39)
| ~ rq(U_41,U_40) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( U_40 = U_39
| ~ rq(U_41,U_39)
| ~ rq(U_41,U_40) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
! [X,Y] :
( cd(X)
| ~ rq(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_17_2,plain,
! [U_43,U_42] :
( cd(U_43)
| ~ rq(U_43,U_42) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_43] :
( ! [U_42] : ~ rq(U_43,U_42)
| cd(U_43) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
cnf(f_17_4,plain,
( ~ rq(U_43,U_42)
| cd(U_43) ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
cowlThing(iv),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
cnf(f_18_2,plain,
cowlThing(iv),
inference(clausify,[status(thm)],[f_18_1]) ).
fof(f_19_1,negated_conjecture,
~ ( ! [X,Y] :
( rq(X,Y)
<=> rp(X,Y) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_19_2,negated_conjecture,
( ? [X,Y] :
( ( ~ rq(X,Y)
& rp(X,Y) )
| ( ~ rp(X,Y)
& rq(X,Y) ) )
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_19_1]) ).
fof(f_19_3,negated_conjecture,
( ? [U_47,U_46] :
( ( ~ rq(U_47,U_46)
& rp(U_47,U_46) )
| ( ~ rp(U_47,U_46)
& rq(U_47,U_46) ) )
| ? [U_45] :
( ( ~ xsd_string(U_45)
& ~ xsd_integer(U_45) )
| ( xsd_integer(U_45)
& xsd_string(U_45) ) )
| ? [U_44] :
( cowlNothing(U_44)
| ~ cowlThing(U_44) ) ),
inference(variable_rename,[status(thm)],[f_19_2]) ).
fof(f_19_4,negated_conjecture,
( ? [U_55,U_53] :
( ~ rq(U_55,U_53)
& rp(U_55,U_53) )
| ? [U_54,U_52] :
( ~ rp(U_54,U_52)
& rq(U_54,U_52) )
| ? [U_51] :
( ~ xsd_string(U_51)
& ~ xsd_integer(U_51) )
| ? [U_50] :
( xsd_integer(U_50)
& xsd_string(U_50) )
| ? [U_49] : cowlNothing(U_49)
| ? [U_48] : ~ cowlThing(U_48) ),
inference(miniscope,[status(thm)],[f_19_3]) ).
fof(f_19_5,negated_conjecture,
( ? [U_55,U_53] :
( ~ rq(U_55,U_53)
& rp(U_55,U_53) )
| ? [U_54,U_52] :
( ~ rp(U_54,U_52)
& rq(U_54,U_52) )
| ? [U_51] :
( ~ xsd_string(U_51)
& ~ xsd_integer(U_51) )
| ? [U_50] :
( xsd_integer(U_50)
& xsd_string(U_50) )
| ? [U_49] : cowlNothing(U_49)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_48,sK1)],[f_19_4]) ).
fof(f_19_6,negated_conjecture,
( ? [U_55,U_53] :
( ~ rq(U_55,U_53)
& rp(U_55,U_53) )
| ? [U_54,U_52] :
( ~ rp(U_54,U_52)
& rq(U_54,U_52) )
| ? [U_51] :
( ~ xsd_string(U_51)
& ~ xsd_integer(U_51) )
| ? [U_50] :
( xsd_integer(U_50)
& xsd_string(U_50) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_49,sK2)],[f_19_5]) ).
fof(f_19_7,negated_conjecture,
( ? [U_55,U_53] :
( ~ rq(U_55,U_53)
& rp(U_55,U_53) )
| ? [U_54,U_52] :
( ~ rp(U_54,U_52)
& rq(U_54,U_52) )
| ? [U_51] :
( ~ xsd_string(U_51)
& ~ xsd_integer(U_51) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_50,sK3)],[f_19_6]) ).
fof(f_19_8,negated_conjecture,
( ? [U_55,U_53] :
( ~ rq(U_55,U_53)
& rp(U_55,U_53) )
| ? [U_54,U_52] :
( ~ rp(U_54,U_52)
& rq(U_54,U_52) )
| ( ~ 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_51,sK4)],[f_19_7]) ).
fof(f_19_9,negated_conjecture,
( ? [U_55,U_53] :
( ~ rq(U_55,U_53)
& rp(U_55,U_53) )
| ? [U_52] :
( ~ rp(sK5,U_52)
& rq(sK5,U_52) )
| ( ~ 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_54,sK5)],[f_19_8]) ).
fof(f_19_10,negated_conjecture,
( ? [U_55,U_53] :
( ~ rq(U_55,U_53)
& rp(U_55,U_53) )
| ( ~ rp(sK5,sK6)
& rq(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_52,sK6)],[f_19_9]) ).
fof(f_19_11,negated_conjecture,
( ? [U_53] :
( ~ rq(sK7,U_53)
& rp(sK7,U_53) )
| ( ~ rp(sK5,sK6)
& rq(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_55,sK7)],[f_19_10]) ).
fof(f_19_12,negated_conjecture,
( ( ~ rq(sK7,sK8)
& rp(sK7,sK8) )
| ( ~ rp(sK5,sK6)
& rq(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_53,sK8)],[f_19_11]) ).
fof(f_19_13,negated_conjecture,
( ( ~ rq(sK7,sK8)
| ~ sP3 )
& ( rp(sK7,sK8)
| ~ sP3 )
& ( ~ rp(sK5,sK6)
| ~ sP2 )
& ( rq(sK5,sK6)
| ~ sP2 )
& ( ~ xsd_string(sK4)
| ~ sP1 )
& ( ~ xsd_integer(sK4)
| ~ sP1 )
& ( xsd_integer(sK3)
| ~ sP0 )
& ( xsd_string(sK3)
| ~ sP0 )
& ( sP3
| sP2
| sP1
| sP0
| cowlNothing(sK2)
| ~ cowlThing(sK1) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3])],[f_19_12]) ).
cnf(f_19_14,negated_conjecture,
( sP3
| sP2
| sP1
| sP0
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(clausify,[status(thm)],[f_19_13]) ).
cnf(f_19_15,negated_conjecture,
( xsd_string(sK3)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_19_13]) ).
cnf(f_19_16,negated_conjecture,
( xsd_integer(sK3)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_19_13]) ).
cnf(f_19_17,negated_conjecture,
( ~ xsd_integer(sK4)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_19_13]) ).
cnf(f_19_18,negated_conjecture,
( ~ xsd_string(sK4)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_19_13]) ).
cnf(f_19_19,negated_conjecture,
( rq(sK5,sK6)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_19_13]) ).
cnf(f_19_20,negated_conjecture,
( ~ rp(sK5,sK6)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_19_13]) ).
cnf(f_19_21,negated_conjecture,
( rp(sK7,sK8)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_19_13]) ).
cnf(f_19_22,negated_conjecture,
( ~ rq(sK7,sK8)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_19_13]) ).
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,
( cd(Eq_y_0)
| ~ cd(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_5,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_6,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_7,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_8,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_9,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_10,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(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 : KRS172+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 : n001.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
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 12:21:54 UTC 2026
% 0.09/0.37 % CPUTime :
% 1.56/1.82 % SZS status Theorem for theBenchmark
% 1.56/1.82 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------