%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS167+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 : n019.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 08:47:26 AM UTC 2026
% Result : Theorem 0.14s 5.87s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(cc1_substitution_1,axiom,
! [A,B] :
( ( cc1(A)
& A = B )
=> cc1(B) ),
file('theBenchmark.p',cc1_substitution_1) ).
fof(cc2_substitution_1,axiom,
! [A,B] :
( ( cc2(A)
& A = B )
=> cc2(B) ),
file('theBenchmark.p',cc2_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] :
( cc1(X)
<=> ( ! [Y0,Y1] :
( ( rp(X,Y1)
& rp(X,Y0) )
=> Y0 = Y1 )
& ? [Y0] : rp(X,Y0) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cc2(X)
<=> ( ! [Y0,Y1] :
( ( rp(X,Y1)
& rp(X,Y0) )
=> Y0 = Y1 )
& ? [Y0] : rp(X,Y0) ) ),
file('theBenchmark.p',axiom_3) ).
fof(the_axiom,conjecture,
( ! [X] :
( cc1(X)
<=> cc2(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('theBenchmark.p',the_axiom) ).
fof(f_1_1,plain,
! [A,B] :
( cc1(B)
| ~ cc1(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cc1_substitution_1]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( cc1(U_0)
| ~ cc1(U_1)
| U_1 != U_0 ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( cc1(U_0)
| ~ cc1(U_1)
| U_1 != U_0 ),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [A,B] :
( cc2(B)
| ~ cc2(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cc2_substitution_1]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( cc2(U_2)
| ~ cc2(U_3)
| U_3 != U_2 ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( cc2(U_2)
| ~ cc2(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] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_7_2,plain,
! [U_15,U_14] :
( xsd_integer(U_14)
| ~ xsd_integer(U_15)
| U_15 != U_14 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( xsd_integer(U_14)
| ~ xsd_integer(U_15)
| U_15 != U_14 ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_8_2,plain,
! [U_17,U_16] :
( xsd_string(U_16)
| ~ xsd_string(U_17)
| U_17 != U_16 ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( xsd_string(U_16)
| ~ xsd_string(U_17)
| U_17 != U_16 ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_9_2,plain,
! [U_18] :
( ~ cowlNothing(U_18)
& cowlThing(U_18) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_20] : ~ cowlNothing(U_20)
& ! [U_19] : cowlThing(U_19) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
cnf(f_9_4,plain,
cowlThing(U_19),
inference(clausify,[status(thm)],[f_9_3]) ).
cnf(f_9_5,plain,
~ cowlNothing(U_20),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_10_2,plain,
! [U_21] :
( ( xsd_string(U_21)
| xsd_integer(U_21) )
& ( ~ xsd_integer(U_21)
| ~ xsd_string(U_21) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_23] :
( xsd_string(U_23)
| xsd_integer(U_23) )
& ! [U_22] :
( ~ xsd_integer(U_22)
| ~ xsd_string(U_22) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( ~ xsd_integer(U_22)
| ~ xsd_string(U_22) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_5,plain,
( xsd_string(U_23)
| xsd_integer(U_23) ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [X] :
( ( cc1(X)
| ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) )
| ! [Y0] : ~ rp(X,Y0) )
& ( ( ! [Y0,Y1] :
( Y0 = Y1
| ~ rp(X,Y1)
| ~ rp(X,Y0) )
& ? [Y0] : rp(X,Y0) )
| ~ cc1(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_11_2,plain,
! [U_30] :
( ( cc1(U_30)
| ? [U_29,U_28] :
( U_29 != U_28
& rp(U_30,U_28)
& rp(U_30,U_29) )
| ! [U_27] : ~ rp(U_30,U_27) )
& ( ( ! [U_26,U_25] :
( U_26 = U_25
| ~ rp(U_30,U_25)
| ~ rp(U_30,U_26) )
& ? [U_24] : rp(U_30,U_24) )
| ~ cc1(U_30) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_32] :
( cc1(U_32)
| ? [U_29,U_28] :
( U_29 != U_28
& rp(U_32,U_28)
& rp(U_32,U_29) )
| ! [U_27] : ~ rp(U_32,U_27) )
& ! [U_31] :
( ( ! [U_26,U_25] :
( U_26 = U_25
| ~ rp(U_31,U_25)
| ~ rp(U_31,U_26) )
& ? [U_24] : rp(U_31,U_24) )
| ~ cc1(U_31) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
( ! [U_32] :
( cc1(U_32)
| ? [U_29,U_28] :
( U_29 != U_28
& rp(U_32,U_28)
& rp(U_32,U_29) )
| ! [U_27] : ~ rp(U_32,U_27) )
& ! [U_31] :
( ( ! [U_26,U_25] :
( U_26 = U_25
| ~ rp(U_31,U_25)
| ~ rp(U_31,U_26) )
& rp(U_31,sK1(U_31)) )
| ~ cc1(U_31) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_24,sK1(U_31))],[f_11_3]) ).
fof(f_11_5,plain,
( ! [U_32] :
( cc1(U_32)
| ? [U_28] :
( sK2(U_32) != U_28
& rp(U_32,U_28)
& rp(U_32,sK2(U_32)) )
| ! [U_27] : ~ rp(U_32,U_27) )
& ! [U_31] :
( ( ! [U_26,U_25] :
( U_26 = U_25
| ~ rp(U_31,U_25)
| ~ rp(U_31,U_26) )
& rp(U_31,sK1(U_31)) )
| ~ cc1(U_31) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_29,sK2(U_32))],[f_11_4]) ).
fof(f_11_6,plain,
( ! [U_32] :
( cc1(U_32)
| ( sK2(U_32) != sK3(U_32)
& rp(U_32,sK3(U_32))
& rp(U_32,sK2(U_32)) )
| ! [U_27] : ~ rp(U_32,U_27) )
& ! [U_31] :
( ( ! [U_26,U_25] :
( U_26 = U_25
| ~ rp(U_31,U_25)
| ~ rp(U_31,U_26) )
& rp(U_31,sK1(U_31)) )
| ~ cc1(U_31) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_28,sK3(U_32))],[f_11_5]) ).
cnf(f_11_7,plain,
( rp(U_31,sK1(U_31))
| ~ cc1(U_31) ),
inference(clausify,[status(thm)],[f_11_6]) ).
cnf(f_11_8,plain,
( U_26 = U_25
| ~ rp(U_31,U_25)
| ~ rp(U_31,U_26)
| ~ cc1(U_31) ),
inference(clausify,[status(thm)],[f_11_6]) ).
cnf(f_11_9,plain,
( rp(U_32,sK2(U_32))
| ~ rp(U_32,U_27)
| cc1(U_32) ),
inference(clausify,[status(thm)],[f_11_6]) ).
cnf(f_11_10,plain,
( rp(U_32,sK3(U_32))
| ~ rp(U_32,U_27)
| cc1(U_32) ),
inference(clausify,[status(thm)],[f_11_6]) ).
cnf(f_11_11,plain,
( sK2(U_32) != sK3(U_32)
| ~ rp(U_32,U_27)
| cc1(U_32) ),
inference(clausify,[status(thm)],[f_11_6]) ).
fof(f_12_1,plain,
! [X] :
( ( cc2(X)
| ? [Y0,Y1] :
( Y0 != Y1
& rp(X,Y1)
& rp(X,Y0) )
| ! [Y0] : ~ rp(X,Y0) )
& ( ( ! [Y0,Y1] :
( Y0 = Y1
| ~ rp(X,Y1)
| ~ rp(X,Y0) )
& ? [Y0] : rp(X,Y0) )
| ~ cc2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_12_2,plain,
! [U_39] :
( ( cc2(U_39)
| ? [U_38,U_37] :
( U_38 != U_37
& rp(U_39,U_37)
& rp(U_39,U_38) )
| ! [U_36] : ~ rp(U_39,U_36) )
& ( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rp(U_39,U_34)
| ~ rp(U_39,U_35) )
& ? [U_33] : rp(U_39,U_33) )
| ~ cc2(U_39) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_41] :
( cc2(U_41)
| ? [U_38,U_37] :
( U_38 != U_37
& rp(U_41,U_37)
& rp(U_41,U_38) )
| ! [U_36] : ~ rp(U_41,U_36) )
& ! [U_40] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rp(U_40,U_34)
| ~ rp(U_40,U_35) )
& ? [U_33] : rp(U_40,U_33) )
| ~ cc2(U_40) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_41] :
( cc2(U_41)
| ? [U_38,U_37] :
( U_38 != U_37
& rp(U_41,U_37)
& rp(U_41,U_38) )
| ! [U_36] : ~ rp(U_41,U_36) )
& ! [U_40] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rp(U_40,U_34)
| ~ rp(U_40,U_35) )
& rp(U_40,sK4(U_40)) )
| ~ cc2(U_40) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_33,sK4(U_40))],[f_12_3]) ).
fof(f_12_5,plain,
( ! [U_41] :
( cc2(U_41)
| ? [U_37] :
( sK5(U_41) != U_37
& rp(U_41,U_37)
& rp(U_41,sK5(U_41)) )
| ! [U_36] : ~ rp(U_41,U_36) )
& ! [U_40] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rp(U_40,U_34)
| ~ rp(U_40,U_35) )
& rp(U_40,sK4(U_40)) )
| ~ cc2(U_40) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_38,sK5(U_41))],[f_12_4]) ).
fof(f_12_6,plain,
( ! [U_41] :
( cc2(U_41)
| ( sK5(U_41) != sK6(U_41)
& rp(U_41,sK6(U_41))
& rp(U_41,sK5(U_41)) )
| ! [U_36] : ~ rp(U_41,U_36) )
& ! [U_40] :
( ( ! [U_35,U_34] :
( U_35 = U_34
| ~ rp(U_40,U_34)
| ~ rp(U_40,U_35) )
& rp(U_40,sK4(U_40)) )
| ~ cc2(U_40) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_37,sK6(U_41))],[f_12_5]) ).
cnf(f_12_7,plain,
( rp(U_40,sK4(U_40))
| ~ cc2(U_40) ),
inference(clausify,[status(thm)],[f_12_6]) ).
cnf(f_12_8,plain,
( U_35 = U_34
| ~ rp(U_40,U_34)
| ~ rp(U_40,U_35)
| ~ cc2(U_40) ),
inference(clausify,[status(thm)],[f_12_6]) ).
cnf(f_12_9,plain,
( rp(U_41,sK5(U_41))
| ~ rp(U_41,U_36)
| cc2(U_41) ),
inference(clausify,[status(thm)],[f_12_6]) ).
cnf(f_12_10,plain,
( rp(U_41,sK6(U_41))
| ~ rp(U_41,U_36)
| cc2(U_41) ),
inference(clausify,[status(thm)],[f_12_6]) ).
cnf(f_12_11,plain,
( sK5(U_41) != sK6(U_41)
| ~ rp(U_41,U_36)
| cc2(U_41) ),
inference(clausify,[status(thm)],[f_12_6]) ).
fof(f_13_1,negated_conjecture,
~ ( ! [X] :
( cc1(X)
<=> cc2(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_13_2,negated_conjecture,
( ? [X] :
( ( ~ cc1(X)
& cc2(X) )
| ( ~ cc2(X)
& cc1(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_13_1]) ).
fof(f_13_3,negated_conjecture,
( ? [U_44] :
( ( ~ cc1(U_44)
& cc2(U_44) )
| ( ~ cc2(U_44)
& cc1(U_44) ) )
| ? [U_43] :
( ( ~ xsd_string(U_43)
& ~ xsd_integer(U_43) )
| ( xsd_integer(U_43)
& xsd_string(U_43) ) )
| ? [U_42] :
( cowlNothing(U_42)
| ~ cowlThing(U_42) ) ),
inference(variable_rename,[status(thm)],[f_13_2]) ).
fof(f_13_4,negated_conjecture,
( ? [U_50] :
( ~ cc1(U_50)
& cc2(U_50) )
| ? [U_49] :
( ~ cc2(U_49)
& cc1(U_49) )
| ? [U_48] :
( ~ xsd_string(U_48)
& ~ xsd_integer(U_48) )
| ? [U_47] :
( xsd_integer(U_47)
& xsd_string(U_47) )
| ? [U_46] : cowlNothing(U_46)
| ? [U_45] : ~ cowlThing(U_45) ),
inference(miniscope,[status(thm)],[f_13_3]) ).
fof(f_13_5,negated_conjecture,
( ? [U_50] :
( ~ cc1(U_50)
& cc2(U_50) )
| ? [U_49] :
( ~ cc2(U_49)
& cc1(U_49) )
| ? [U_48] :
( ~ xsd_string(U_48)
& ~ xsd_integer(U_48) )
| ? [U_47] :
( xsd_integer(U_47)
& xsd_string(U_47) )
| ? [U_46] : cowlNothing(U_46)
| ~ cowlThing(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_45,sK7)],[f_13_4]) ).
fof(f_13_6,negated_conjecture,
( ? [U_50] :
( ~ cc1(U_50)
& cc2(U_50) )
| ? [U_49] :
( ~ cc2(U_49)
& cc1(U_49) )
| ? [U_48] :
( ~ xsd_string(U_48)
& ~ xsd_integer(U_48) )
| ? [U_47] :
( xsd_integer(U_47)
& xsd_string(U_47) )
| cowlNothing(sK8)
| ~ cowlThing(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_46,sK8)],[f_13_5]) ).
fof(f_13_7,negated_conjecture,
( ? [U_50] :
( ~ cc1(U_50)
& cc2(U_50) )
| ? [U_49] :
( ~ cc2(U_49)
& cc1(U_49) )
| ? [U_48] :
( ~ xsd_string(U_48)
& ~ xsd_integer(U_48) )
| ( xsd_integer(sK9)
& xsd_string(sK9) )
| cowlNothing(sK8)
| ~ cowlThing(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_47,sK9)],[f_13_6]) ).
fof(f_13_8,negated_conjecture,
( ? [U_50] :
( ~ cc1(U_50)
& cc2(U_50) )
| ? [U_49] :
( ~ cc2(U_49)
& cc1(U_49) )
| ( ~ xsd_string(sK10)
& ~ xsd_integer(sK10) )
| ( xsd_integer(sK9)
& xsd_string(sK9) )
| cowlNothing(sK8)
| ~ cowlThing(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_48,sK10)],[f_13_7]) ).
fof(f_13_9,negated_conjecture,
( ? [U_50] :
( ~ cc1(U_50)
& cc2(U_50) )
| ( ~ cc2(sK11)
& cc1(sK11) )
| ( ~ xsd_string(sK10)
& ~ xsd_integer(sK10) )
| ( xsd_integer(sK9)
& xsd_string(sK9) )
| cowlNothing(sK8)
| ~ cowlThing(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_49,sK11)],[f_13_8]) ).
fof(f_13_10,negated_conjecture,
( ( ~ cc1(sK12)
& cc2(sK12) )
| ( ~ cc2(sK11)
& cc1(sK11) )
| ( ~ xsd_string(sK10)
& ~ xsd_integer(sK10) )
| ( xsd_integer(sK9)
& xsd_string(sK9) )
| cowlNothing(sK8)
| ~ cowlThing(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_50,sK12)],[f_13_9]) ).
fof(f_13_11,negated_conjecture,
( ( ~ cc1(sK12)
| ~ sP3 )
& ( cc2(sK12)
| ~ sP3 )
& ( ~ cc2(sK11)
| ~ sP2 )
& ( cc1(sK11)
| ~ sP2 )
& ( ~ xsd_string(sK10)
| ~ sP1 )
& ( ~ xsd_integer(sK10)
| ~ sP1 )
& ( xsd_integer(sK9)
| ~ sP0 )
& ( xsd_string(sK9)
| ~ sP0 )
& ( sP3
| sP2
| sP1
| sP0
| cowlNothing(sK8)
| ~ cowlThing(sK7) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3])],[f_13_10]) ).
cnf(f_13_12,negated_conjecture,
( sP3
| sP2
| sP1
| sP0
| cowlNothing(sK8)
| ~ cowlThing(sK7) ),
inference(clausify,[status(thm)],[f_13_11]) ).
cnf(f_13_13,negated_conjecture,
( xsd_string(sK9)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_13_11]) ).
cnf(f_13_14,negated_conjecture,
( xsd_integer(sK9)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_13_11]) ).
cnf(f_13_15,negated_conjecture,
( ~ xsd_integer(sK10)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_13_11]) ).
cnf(f_13_16,negated_conjecture,
( ~ xsd_string(sK10)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_13_11]) ).
cnf(f_13_17,negated_conjecture,
( cc1(sK11)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_13_11]) ).
cnf(f_13_18,negated_conjecture,
( ~ cc2(sK11)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_13_11]) ).
cnf(f_13_19,negated_conjecture,
( cc2(sK12)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_13_11]) ).
cnf(f_13_20,negated_conjecture,
( ~ cc1(sK12)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_13_11]) ).
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,
( cc1(Eq_y_0)
| ~ cc1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( cc2(Eq_y_0)
| ~ cc2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,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_15,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,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
% 0.00/0.02 % Problem : KRS167+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 This is a FOF_THM_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
% 0.10/5.36 % Computer : n019.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sat Sep 19 12:16:25 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.14/5.87 % SZS status Theorem for theBenchmark
% 0.14/5.87 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------