%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS145+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 08:47:22 AM UTC 2026
% Result : Theorem 0.13s 0.95s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(cc_substitution_1,axiom,
! [A,B] :
( ( cc(A)
& A = B )
=> cc(B) ),
file('theBenchmark.p',cc_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(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] :
( cc(X)
=> ( ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) )
& ! [Y0,Y1,Y2] :
( ( rp(X,Y2)
& rp(X,Y1)
& rp(X,Y0) )
=> ( Y1 = Y2
| Y0 = Y2
| Y0 = Y1 ) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(the_axiom,conjecture,
( ! [X] :
( cc(X)
=> ( ! [Y0,Y1,Y2] :
( ( rp(X,Y2)
& rp(X,Y1)
& rp(X,Y0) )
=> ( Y1 = Y2
| Y0 = Y2
| Y0 = Y1 ) )
& ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(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] :
( cc(B)
| ~ cc(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cc_substitution_1]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( cc(U_0)
| ~ cc(U_1)
| U_1 != U_0 ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( cc(U_0)
| ~ cc(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] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_6_2,plain,
! [U_13,U_12] :
( xsd_integer(U_12)
| ~ xsd_integer(U_13)
| U_13 != U_12 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( xsd_integer(U_12)
| ~ xsd_integer(U_13)
| U_13 != U_12 ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_7_2,plain,
! [U_15,U_14] :
( xsd_string(U_14)
| ~ xsd_string(U_15)
| U_15 != U_14 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( xsd_string(U_14)
| ~ xsd_string(U_15)
| U_15 != U_14 ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_8_2,plain,
! [U_16] :
( ~ cowlNothing(U_16)
& cowlThing(U_16) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_18] : ~ cowlNothing(U_18)
& ! [U_17] : cowlThing(U_17) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
cnf(f_8_4,plain,
cowlThing(U_17),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_5,plain,
~ cowlNothing(U_18),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_9_2,plain,
! [U_19] :
( ( xsd_string(U_19)
| xsd_integer(U_19) )
& ( ~ xsd_integer(U_19)
| ~ xsd_string(U_19) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_21] :
( xsd_string(U_21)
| xsd_integer(U_21) )
& ! [U_20] :
( ~ xsd_integer(U_20)
| ~ xsd_string(U_20) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
cnf(f_9_4,plain,
( ~ xsd_integer(U_20)
| ~ xsd_string(U_20) ),
inference(clausify,[status(thm)],[f_9_3]) ).
cnf(f_9_5,plain,
( xsd_string(U_21)
| xsd_integer(U_21) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [X] :
( ( ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) )
& ! [Y0,Y1,Y2] :
( Y1 = Y2
| Y0 = Y2
| Y0 = Y1
| ~ rp(X,Y2)
| ~ rp(X,Y1)
| ~ rp(X,Y0) ) )
| ~ cc(X) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_10_2,plain,
! [U_27] :
( ( ? [U_26,U_25] :
( U_26 != U_25
& rp(U_27,U_25)
& rp(U_27,U_26) )
& ! [U_24,U_23,U_22] :
( U_23 = U_22
| U_24 = U_22
| U_24 = U_23
| ~ rp(U_27,U_22)
| ~ rp(U_27,U_23)
| ~ rp(U_27,U_24) ) )
| ~ cc(U_27) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_27] :
( ( ? [U_26] :
( ? [U_25] :
( U_26 != U_25
& rp(U_27,U_25) )
& rp(U_27,U_26) )
& ! [U_24,U_23,U_22] :
( U_23 = U_22
| U_24 = U_22
| U_24 = U_23
| ~ rp(U_27,U_22)
| ~ rp(U_27,U_23)
| ~ rp(U_27,U_24) ) )
| ~ cc(U_27) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
! [U_27] :
( ( ? [U_25] :
( sK1(U_27) != U_25
& rp(U_27,U_25) )
& rp(U_27,sK1(U_27))
& ! [U_24,U_23,U_22] :
( U_23 = U_22
| U_24 = U_22
| U_24 = U_23
| ~ rp(U_27,U_22)
| ~ rp(U_27,U_23)
| ~ rp(U_27,U_24) ) )
| ~ cc(U_27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_26,sK1(U_27))],[f_10_3]) ).
fof(f_10_5,plain,
! [U_27] :
( ( sK1(U_27) != sK2(U_27)
& rp(U_27,sK2(U_27))
& rp(U_27,sK1(U_27))
& ! [U_24,U_23,U_22] :
( U_23 = U_22
| U_24 = U_22
| U_24 = U_23
| ~ rp(U_27,U_22)
| ~ rp(U_27,U_23)
| ~ rp(U_27,U_24) ) )
| ~ cc(U_27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_25,sK2(U_27))],[f_10_4]) ).
cnf(f_10_6,plain,
( U_23 = U_22
| U_24 = U_22
| U_24 = U_23
| ~ rp(U_27,U_22)
| ~ rp(U_27,U_23)
| ~ rp(U_27,U_24)
| ~ cc(U_27) ),
inference(clausify,[status(thm)],[f_10_5]) ).
cnf(f_10_7,plain,
( rp(U_27,sK1(U_27))
| ~ cc(U_27) ),
inference(clausify,[status(thm)],[f_10_5]) ).
cnf(f_10_8,plain,
( rp(U_27,sK2(U_27))
| ~ cc(U_27) ),
inference(clausify,[status(thm)],[f_10_5]) ).
cnf(f_10_9,plain,
( sK1(U_27) != sK2(U_27)
| ~ cc(U_27) ),
inference(clausify,[status(thm)],[f_10_5]) ).
fof(f_11_1,negated_conjecture,
~ ( ! [X] :
( cc(X)
=> ( ! [Y0,Y1,Y2] :
( ( rp(X,Y2)
& rp(X,Y1)
& rp(X,Y0) )
=> ( Y1 = Y2
| Y0 = Y2
| Y0 = Y1 ) )
& ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) ) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_11_2,negated_conjecture,
( ? [X] :
( ( ? [Y0,Y1,Y2] :
( Y1 != Y2
& Y0 != Y2
& Y0 != Y1
& rp(X,Y2)
& rp(X,Y1)
& rp(X,Y0) )
| ! [Y0,Y1] :
( Y0 = Y1
| ~ rp(X,Y1)
| ~ rp(X,Y0) ) )
& cc(X) )
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_11_1]) ).
fof(f_11_3,negated_conjecture,
( ? [U_35] :
( ( ? [U_34,U_33,U_32] :
( U_33 != U_32
& U_34 != U_32
& U_34 != U_33
& rp(U_35,U_32)
& rp(U_35,U_33)
& rp(U_35,U_34) )
| ! [U_31,U_30] :
( U_31 = U_30
| ~ rp(U_35,U_30)
| ~ rp(U_35,U_31) ) )
& cc(U_35) )
| ? [U_29] :
( ( ~ xsd_string(U_29)
& ~ xsd_integer(U_29) )
| ( xsd_integer(U_29)
& xsd_string(U_29) ) )
| ? [U_28] :
( cowlNothing(U_28)
| ~ cowlThing(U_28) ) ),
inference(variable_rename,[status(thm)],[f_11_2]) ).
fof(f_11_4,negated_conjecture,
( ? [U_35] :
( ( ? [U_34,U_33,U_32] :
( U_33 != U_32
& U_34 != U_32
& U_34 != U_33
& rp(U_35,U_32)
& rp(U_35,U_33)
& rp(U_35,U_34) )
| ! [U_31] :
( ! [U_30] :
( U_31 = U_30
| ~ rp(U_35,U_30) )
| ~ rp(U_35,U_31) ) )
& cc(U_35) )
| ? [U_39] :
( ~ xsd_string(U_39)
& ~ xsd_integer(U_39) )
| ? [U_38] :
( xsd_integer(U_38)
& xsd_string(U_38) )
| ? [U_37] : cowlNothing(U_37)
| ? [U_36] : ~ cowlThing(U_36) ),
inference(miniscope,[status(thm)],[f_11_3]) ).
fof(f_11_5,negated_conjecture,
( ? [U_35] :
( ( ? [U_34,U_33,U_32] :
( U_33 != U_32
& U_34 != U_32
& U_34 != U_33
& rp(U_35,U_32)
& rp(U_35,U_33)
& rp(U_35,U_34) )
| ! [U_31] :
( ! [U_30] :
( U_31 = U_30
| ~ rp(U_35,U_30) )
| ~ rp(U_35,U_31) ) )
& cc(U_35) )
| ? [U_39] :
( ~ xsd_string(U_39)
& ~ xsd_integer(U_39) )
| ? [U_38] :
( xsd_integer(U_38)
& xsd_string(U_38) )
| ? [U_37] : cowlNothing(U_37)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_36,sK3)],[f_11_4]) ).
fof(f_11_6,negated_conjecture,
( ? [U_35] :
( ( ? [U_34,U_33,U_32] :
( U_33 != U_32
& U_34 != U_32
& U_34 != U_33
& rp(U_35,U_32)
& rp(U_35,U_33)
& rp(U_35,U_34) )
| ! [U_31] :
( ! [U_30] :
( U_31 = U_30
| ~ rp(U_35,U_30) )
| ~ rp(U_35,U_31) ) )
& cc(U_35) )
| ? [U_39] :
( ~ xsd_string(U_39)
& ~ xsd_integer(U_39) )
| ? [U_38] :
( xsd_integer(U_38)
& xsd_string(U_38) )
| cowlNothing(sK4)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_37,sK4)],[f_11_5]) ).
fof(f_11_7,negated_conjecture,
( ? [U_35] :
( ( ? [U_34,U_33,U_32] :
( U_33 != U_32
& U_34 != U_32
& U_34 != U_33
& rp(U_35,U_32)
& rp(U_35,U_33)
& rp(U_35,U_34) )
| ! [U_31] :
( ! [U_30] :
( U_31 = U_30
| ~ rp(U_35,U_30) )
| ~ rp(U_35,U_31) ) )
& cc(U_35) )
| ? [U_39] :
( ~ xsd_string(U_39)
& ~ xsd_integer(U_39) )
| ( xsd_integer(sK5)
& xsd_string(sK5) )
| cowlNothing(sK4)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_38,sK5)],[f_11_6]) ).
fof(f_11_8,negated_conjecture,
( ? [U_35] :
( ( ? [U_34,U_33,U_32] :
( U_33 != U_32
& U_34 != U_32
& U_34 != U_33
& rp(U_35,U_32)
& rp(U_35,U_33)
& rp(U_35,U_34) )
| ! [U_31] :
( ! [U_30] :
( U_31 = U_30
| ~ rp(U_35,U_30) )
| ~ rp(U_35,U_31) ) )
& cc(U_35) )
| ( ~ xsd_string(sK6)
& ~ xsd_integer(sK6) )
| ( xsd_integer(sK5)
& xsd_string(sK5) )
| cowlNothing(sK4)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_39,sK6)],[f_11_7]) ).
fof(f_11_9,negated_conjecture,
( ( ( ? [U_34,U_33,U_32] :
( U_33 != U_32
& U_34 != U_32
& U_34 != U_33
& rp(sK7,U_32)
& rp(sK7,U_33)
& rp(sK7,U_34) )
| ! [U_31] :
( ! [U_30] :
( U_31 = U_30
| ~ rp(sK7,U_30) )
| ~ rp(sK7,U_31) ) )
& cc(sK7) )
| ( ~ xsd_string(sK6)
& ~ xsd_integer(sK6) )
| ( xsd_integer(sK5)
& xsd_string(sK5) )
| cowlNothing(sK4)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_35,sK7)],[f_11_8]) ).
fof(f_11_10,negated_conjecture,
( ( ( ? [U_33,U_32] :
( U_33 != U_32
& sK8 != U_32
& sK8 != U_33
& rp(sK7,U_32)
& rp(sK7,U_33)
& rp(sK7,sK8) )
| ! [U_31] :
( ! [U_30] :
( U_31 = U_30
| ~ rp(sK7,U_30) )
| ~ rp(sK7,U_31) ) )
& cc(sK7) )
| ( ~ xsd_string(sK6)
& ~ xsd_integer(sK6) )
| ( xsd_integer(sK5)
& xsd_string(sK5) )
| cowlNothing(sK4)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_34,sK8)],[f_11_9]) ).
fof(f_11_11,negated_conjecture,
( ( ( ? [U_32] :
( sK9 != U_32
& sK8 != U_32
& sK8 != sK9
& rp(sK7,U_32)
& rp(sK7,sK9)
& rp(sK7,sK8) )
| ! [U_31] :
( ! [U_30] :
( U_31 = U_30
| ~ rp(sK7,U_30) )
| ~ rp(sK7,U_31) ) )
& cc(sK7) )
| ( ~ xsd_string(sK6)
& ~ xsd_integer(sK6) )
| ( xsd_integer(sK5)
& xsd_string(sK5) )
| cowlNothing(sK4)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_33,sK9)],[f_11_10]) ).
fof(f_11_12,negated_conjecture,
( ( ( ( sK9 != sK10
& sK8 != sK10
& sK8 != sK9
& rp(sK7,sK10)
& rp(sK7,sK9)
& rp(sK7,sK8) )
| ! [U_31] :
( ! [U_30] :
( U_31 = U_30
| ~ rp(sK7,U_30) )
| ~ rp(sK7,U_31) ) )
& cc(sK7) )
| ( ~ xsd_string(sK6)
& ~ xsd_integer(sK6) )
| ( xsd_integer(sK5)
& xsd_string(sK5) )
| cowlNothing(sK4)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_32,sK10)],[f_11_11]) ).
fof(f_11_13,negated_conjecture,
( ( sK9 != sK10
| ~ sP2 )
& ( sK8 != sK10
| ~ sP2 )
& ( sK8 != sK9
| ~ sP2 )
& ( rp(sK7,sK10)
| ~ sP2 )
& ( rp(sK7,sK9)
| ~ sP2 )
& ( rp(sK7,sK8)
| ~ sP2 )
& ! [U_30,U_31] :
( sP2
| U_31 = U_30
| ~ rp(sK7,U_30)
| ~ rp(sK7,U_31)
| ~ sP3(U_30,U_31) )
& ! [U_30,U_31] :
( cc(sK7)
| ~ sP3(U_30,U_31) )
& ( ~ xsd_string(sK6)
| ~ sP1 )
& ( ~ xsd_integer(sK6)
| ~ sP1 )
& ( xsd_integer(sK5)
| ~ sP0 )
& ( xsd_string(sK5)
| ~ sP0 )
& ! [U_30,U_31] :
( sP3(U_30,U_31)
| sP1
| sP0
| cowlNothing(sK4)
| ~ cowlThing(sK3) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3])],[f_11_12]) ).
cnf(f_11_14,negated_conjecture,
( sP3(U_30,U_31)
| sP1
| sP0
| cowlNothing(sK4)
| ~ cowlThing(sK3) ),
inference(clausify,[status(thm)],[f_11_13]) ).
cnf(f_11_15,negated_conjecture,
( xsd_string(sK5)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_11_13]) ).
cnf(f_11_16,negated_conjecture,
( xsd_integer(sK5)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_11_13]) ).
cnf(f_11_17,negated_conjecture,
( ~ xsd_integer(sK6)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_11_13]) ).
cnf(f_11_18,negated_conjecture,
( ~ xsd_string(sK6)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_11_13]) ).
cnf(f_11_19,negated_conjecture,
( cc(sK7)
| ~ sP3(U_30,U_31) ),
inference(clausify,[status(thm)],[f_11_13]) ).
cnf(f_11_20,negated_conjecture,
( sP2
| U_31 = U_30
| ~ rp(sK7,U_30)
| ~ rp(sK7,U_31)
| ~ sP3(U_30,U_31) ),
inference(clausify,[status(thm)],[f_11_13]) ).
cnf(f_11_21,negated_conjecture,
( rp(sK7,sK8)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_11_13]) ).
cnf(f_11_22,negated_conjecture,
( rp(sK7,sK9)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_11_13]) ).
cnf(f_11_23,negated_conjecture,
( rp(sK7,sK10)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_11_13]) ).
cnf(f_11_24,negated_conjecture,
( sK8 != sK9
| ~ sP2 ),
inference(clausify,[status(thm)],[f_11_13]) ).
cnf(f_11_25,negated_conjecture,
( sK8 != sK10
| ~ sP2 ),
inference(clausify,[status(thm)],[f_11_13]) ).
cnf(f_11_26,negated_conjecture,
( sK9 != sK10
| ~ sP2 ),
inference(clausify,[status(thm)],[f_11_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,
( 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,
( cc(Eq_y_0)
| ~ cc(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_7,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_8,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_9,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_10,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( sP3(Eq_y_0,Eq_y_1)
| ~ sP3(Eq_x_0,Eq_x_1)
| 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 : KRS145+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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.55 % Computer : n004.cluster.edu
% 0.07/0.55 % Model : x86_64 x86_64
% 0.07/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.55 % Memory : 8046.5625MB
% 0.07/0.55 % OS : Linux 6.8.0-71-generic
% 0.07/0.56 % CPULimit : 300
% 0.07/0.56 % WCLimit : 300
% 0.07/0.56 % DateTime : Sat Sep 19 12:16:06 UTC 2026
% 0.07/0.56 % CPUTime :
% 0.13/0.95 % SZS status Theorem for theBenchmark
% 0.13/0.95 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------