%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS160+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 : n006.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 0.09s 0.39s
% Output : Proof 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
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] :
( cC10(X)
<=> ( cC2(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cC12(X)
<=> ? [Y] :
( cC10(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cC2(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cC2xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cC6(X)
<=> ( cC4(X)
& cC2xcomp(X) ) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cC6(X)
<=> ~ ? [Y] : ra_Px4(X,Y) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( cC6xcomp(X)
<=> ? [Y0] : ra_Px4(X,Y0) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( cC8(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( cC6(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X] :
( cC8xcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X] :
( cTEST(X)
<=> ( cC12(X)
& cC8xcomp(X) ) ),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
cTEST(iV21080),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
cC8xcomp(iV21080),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
cowlThing(iV21080),
file('theBenchmark.p',axiom_15) ).
fof(axiom_16,axiom,
! [X] :
( rR1(iV21080,X)
=> cC6xcomp(X) ),
file('theBenchmark.p',axiom_16) ).
fof(axiom_17,axiom,
rR1(iV21080,iV21081),
file('theBenchmark.p',axiom_17) ).
fof(axiom_18,axiom,
cC4(iV21081),
file('theBenchmark.p',axiom_18) ).
fof(axiom_19,axiom,
cC6xcomp(iV21081),
file('theBenchmark.p',axiom_19) ).
fof(axiom_20,axiom,
cC2(iV21081),
file('theBenchmark.p',axiom_20) ).
fof(axiom_21,axiom,
cowlThing(iV21081),
file('theBenchmark.p',axiom_21) ).
fof(the_axiom,conjecture,
( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('theBenchmark.p',the_axiom) ).
fof(f_1_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_1_2,plain,
! [U_0] :
( ~ cowlNothing(U_0)
& cowlThing(U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_2] : ~ cowlNothing(U_2)
& ! [U_1] : cowlThing(U_1) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
cowlThing(U_1),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,plain,
~ cowlNothing(U_2),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_2_2,plain,
! [U_3] :
( ( xsd_string(U_3)
| xsd_integer(U_3) )
& ( ~ xsd_integer(U_3)
| ~ xsd_string(U_3) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_5] :
( xsd_string(U_5)
| xsd_integer(U_5) )
& ! [U_4] :
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_5,plain,
( xsd_string(U_5)
| xsd_integer(U_5) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [X] :
( ( cC10(X)
| ~ cC2(X)
| ~ cC4(X) )
& ( ( cC2(X)
& cC4(X) )
| ~ cC10(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_6] :
( ( cC10(U_6)
| ~ cC2(U_6)
| ~ cC4(U_6) )
& ( ( cC2(U_6)
& cC4(U_6) )
| ~ cC10(U_6) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_8] :
( cC10(U_8)
| ~ cC2(U_8)
| ~ cC4(U_8) )
& ! [U_7] :
( ( cC2(U_7)
& cC4(U_7) )
| ~ cC10(U_7) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
cnf(f_3_4,plain,
( cC4(U_7)
| ~ cC10(U_7) ),
inference(clausify,[status(thm)],[f_3_3]) ).
cnf(f_3_5,plain,
( cC2(U_7)
| ~ cC10(U_7) ),
inference(clausify,[status(thm)],[f_3_3]) ).
cnf(f_3_6,plain,
( cC10(U_8)
| ~ cC2(U_8)
| ~ cC4(U_8) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [X] :
( ( cC12(X)
| ! [Y] :
( ~ cC10(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC10(Y)
& rR1(X,Y) )
| ~ cC12(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_11] :
( ( cC12(U_11)
| ! [U_10] :
( ~ cC10(U_10)
| ~ rR1(U_11,U_10) ) )
& ( ? [U_9] :
( cC10(U_9)
& rR1(U_11,U_9) )
| ~ cC12(U_11) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_13] :
( cC12(U_13)
| ! [U_10] :
( ~ cC10(U_10)
| ~ rR1(U_13,U_10) ) )
& ! [U_12] :
( ? [U_9] :
( cC10(U_9)
& rR1(U_12,U_9) )
| ~ cC12(U_12) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_13] :
( cC12(U_13)
| ! [U_10] :
( ~ cC10(U_10)
| ~ rR1(U_13,U_10) ) )
& ! [U_12] :
( ( cC10(sK1(U_12))
& rR1(U_12,sK1(U_12)) )
| ~ cC12(U_12) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_9,sK1(U_12))],[f_4_3]) ).
cnf(f_4_5,plain,
( rR1(U_12,sK1(U_12))
| ~ cC12(U_12) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_6,plain,
( cC10(sK1(U_12))
| ~ cC12(U_12) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_7,plain,
( cC12(U_13)
| ~ cC10(U_10)
| ~ rR1(U_13,U_10) ),
inference(clausify,[status(thm)],[f_4_4]) ).
fof(f_5_1,plain,
! [X] :
( ( cC2(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cC2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_16] :
( ( cC2(U_16)
| ? [U_15] : ra_Px1(U_16,U_15) )
& ( ! [U_14] : ~ ra_Px1(U_16,U_14)
| ~ cC2(U_16) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_18] :
( cC2(U_18)
| ? [U_15] : ra_Px1(U_18,U_15) )
& ! [U_17] :
( ! [U_14] : ~ ra_Px1(U_17,U_14)
| ~ cC2(U_17) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_18] :
( cC2(U_18)
| ra_Px1(U_18,sK2(U_18)) )
& ! [U_17] :
( ! [U_14] : ~ ra_Px1(U_17,U_14)
| ~ cC2(U_17) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_15,sK2(U_18))],[f_5_3]) ).
cnf(f_5_5,plain,
( ~ ra_Px1(U_17,U_14)
| ~ cC2(U_17) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_6,plain,
( cC2(U_18)
| ra_Px1(U_18,sK2(U_18)) ),
inference(clausify,[status(thm)],[f_5_4]) ).
fof(f_6_1,plain,
! [X] :
( ( cC2xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cC2xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_21] :
( ( cC2xcomp(U_21)
| ! [U_20] : ~ ra_Px1(U_21,U_20) )
& ( ? [U_19] : ra_Px1(U_21,U_19)
| ~ cC2xcomp(U_21) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_23] :
( cC2xcomp(U_23)
| ! [U_20] : ~ ra_Px1(U_23,U_20) )
& ! [U_22] :
( ? [U_19] : ra_Px1(U_22,U_19)
| ~ cC2xcomp(U_22) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ! [U_23] :
( cC2xcomp(U_23)
| ! [U_20] : ~ ra_Px1(U_23,U_20) )
& ! [U_22] :
( ra_Px1(U_22,sK3(U_22))
| ~ cC2xcomp(U_22) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_19,sK3(U_22))],[f_6_3]) ).
cnf(f_6_5,plain,
( ra_Px1(U_22,sK3(U_22))
| ~ cC2xcomp(U_22) ),
inference(clausify,[status(thm)],[f_6_4]) ).
cnf(f_6_6,plain,
( cC2xcomp(U_23)
| ~ ra_Px1(U_23,U_20) ),
inference(clausify,[status(thm)],[f_6_4]) ).
fof(f_7_1,plain,
! [X] :
( ( cC6(X)
| ~ cC4(X)
| ~ cC2xcomp(X) )
& ( ( cC4(X)
& cC2xcomp(X) )
| ~ cC6(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_24] :
( ( cC6(U_24)
| ~ cC4(U_24)
| ~ cC2xcomp(U_24) )
& ( ( cC4(U_24)
& cC2xcomp(U_24) )
| ~ cC6(U_24) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_26] :
( cC6(U_26)
| ~ cC4(U_26)
| ~ cC2xcomp(U_26) )
& ! [U_25] :
( ( cC4(U_25)
& cC2xcomp(U_25) )
| ~ cC6(U_25) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( cC2xcomp(U_25)
| ~ cC6(U_25) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_5,plain,
( cC4(U_25)
| ~ cC6(U_25) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_6,plain,
( cC6(U_26)
| ~ cC4(U_26)
| ~ cC2xcomp(U_26) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [X] :
( ( cC6(X)
| ? [Y] : ra_Px4(X,Y) )
& ( ! [Y] : ~ ra_Px4(X,Y)
| ~ cC6(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_29] :
( ( cC6(U_29)
| ? [U_28] : ra_Px4(U_29,U_28) )
& ( ! [U_27] : ~ ra_Px4(U_29,U_27)
| ~ cC6(U_29) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_31] :
( cC6(U_31)
| ? [U_28] : ra_Px4(U_31,U_28) )
& ! [U_30] :
( ! [U_27] : ~ ra_Px4(U_30,U_27)
| ~ cC6(U_30) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_31] :
( cC6(U_31)
| ra_Px4(U_31,sK4(U_31)) )
& ! [U_30] :
( ! [U_27] : ~ ra_Px4(U_30,U_27)
| ~ cC6(U_30) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_28,sK4(U_31))],[f_8_3]) ).
cnf(f_8_5,plain,
( ~ ra_Px4(U_30,U_27)
| ~ cC6(U_30) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_6,plain,
( cC6(U_31)
| ra_Px4(U_31,sK4(U_31)) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_9_1,plain,
! [X] :
( ( cC6xcomp(X)
| ! [Y0] : ~ ra_Px4(X,Y0) )
& ( ? [Y0] : ra_Px4(X,Y0)
| ~ cC6xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_9_2,plain,
! [U_34] :
( ( cC6xcomp(U_34)
| ! [U_33] : ~ ra_Px4(U_34,U_33) )
& ( ? [U_32] : ra_Px4(U_34,U_32)
| ~ cC6xcomp(U_34) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_36] :
( cC6xcomp(U_36)
| ! [U_33] : ~ ra_Px4(U_36,U_33) )
& ! [U_35] :
( ? [U_32] : ra_Px4(U_35,U_32)
| ~ cC6xcomp(U_35) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_36] :
( cC6xcomp(U_36)
| ! [U_33] : ~ ra_Px4(U_36,U_33) )
& ! [U_35] :
( ra_Px4(U_35,sK5(U_35))
| ~ cC6xcomp(U_35) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_32,sK5(U_35))],[f_9_3]) ).
cnf(f_9_5,plain,
( ra_Px4(U_35,sK5(U_35))
| ~ cC6xcomp(U_35) ),
inference(clausify,[status(thm)],[f_9_4]) ).
cnf(f_9_6,plain,
( cC6xcomp(U_36)
| ~ ra_Px4(U_36,U_33) ),
inference(clausify,[status(thm)],[f_9_4]) ).
fof(f_10_1,plain,
! [X] :
( ( cC8(X)
| ! [Y0] : ~ ra_Px2(X,Y0) )
& ( ? [Y0] : ra_Px2(X,Y0)
| ~ cC8(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_10_2,plain,
! [U_39] :
( ( cC8(U_39)
| ! [U_38] : ~ ra_Px2(U_39,U_38) )
& ( ? [U_37] : ra_Px2(U_39,U_37)
| ~ cC8(U_39) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_41] :
( cC8(U_41)
| ! [U_38] : ~ ra_Px2(U_41,U_38) )
& ! [U_40] :
( ? [U_37] : ra_Px2(U_40,U_37)
| ~ cC8(U_40) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
( ! [U_41] :
( cC8(U_41)
| ! [U_38] : ~ ra_Px2(U_41,U_38) )
& ! [U_40] :
( ra_Px2(U_40,sK6(U_40))
| ~ cC8(U_40) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_37,sK6(U_40))],[f_10_3]) ).
cnf(f_10_5,plain,
( ra_Px2(U_40,sK6(U_40))
| ~ cC8(U_40) ),
inference(clausify,[status(thm)],[f_10_4]) ).
cnf(f_10_6,plain,
( cC8(U_41)
| ~ ra_Px2(U_41,U_38) ),
inference(clausify,[status(thm)],[f_10_4]) ).
fof(f_11_1,plain,
! [X] :
( ( cC8(X)
| ! [Y] :
( ~ cC6(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC6(Y)
& rR1(X,Y) )
| ~ cC8(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_11_2,plain,
! [U_44] :
( ( cC8(U_44)
| ! [U_43] :
( ~ cC6(U_43)
| ~ rR1(U_44,U_43) ) )
& ( ? [U_42] :
( cC6(U_42)
& rR1(U_44,U_42) )
| ~ cC8(U_44) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_46] :
( cC8(U_46)
| ! [U_43] :
( ~ cC6(U_43)
| ~ rR1(U_46,U_43) ) )
& ! [U_45] :
( ? [U_42] :
( cC6(U_42)
& rR1(U_45,U_42) )
| ~ cC8(U_45) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
( ! [U_46] :
( cC8(U_46)
| ! [U_43] :
( ~ cC6(U_43)
| ~ rR1(U_46,U_43) ) )
& ! [U_45] :
( ( cC6(sK7(U_45))
& rR1(U_45,sK7(U_45)) )
| ~ cC8(U_45) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_42,sK7(U_45))],[f_11_3]) ).
cnf(f_11_5,plain,
( rR1(U_45,sK7(U_45))
| ~ cC8(U_45) ),
inference(clausify,[status(thm)],[f_11_4]) ).
cnf(f_11_6,plain,
( cC6(sK7(U_45))
| ~ cC8(U_45) ),
inference(clausify,[status(thm)],[f_11_4]) ).
cnf(f_11_7,plain,
( cC8(U_46)
| ~ cC6(U_43)
| ~ rR1(U_46,U_43) ),
inference(clausify,[status(thm)],[f_11_4]) ).
fof(f_12_1,plain,
! [X] :
( ( cC8xcomp(X)
| ? [Y] : ra_Px2(X,Y) )
& ( ! [Y] : ~ ra_Px2(X,Y)
| ~ cC8xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_12_2,plain,
! [U_49] :
( ( cC8xcomp(U_49)
| ? [U_48] : ra_Px2(U_49,U_48) )
& ( ! [U_47] : ~ ra_Px2(U_49,U_47)
| ~ cC8xcomp(U_49) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_51] :
( cC8xcomp(U_51)
| ? [U_48] : ra_Px2(U_51,U_48) )
& ! [U_50] :
( ! [U_47] : ~ ra_Px2(U_50,U_47)
| ~ cC8xcomp(U_50) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_51] :
( cC8xcomp(U_51)
| ra_Px2(U_51,sK8(U_51)) )
& ! [U_50] :
( ! [U_47] : ~ ra_Px2(U_50,U_47)
| ~ cC8xcomp(U_50) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_48,sK8(U_51))],[f_12_3]) ).
cnf(f_12_5,plain,
( ~ ra_Px2(U_50,U_47)
| ~ cC8xcomp(U_50) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_6,plain,
( cC8xcomp(U_51)
| ra_Px2(U_51,sK8(U_51)) ),
inference(clausify,[status(thm)],[f_12_4]) ).
fof(f_13_1,plain,
! [X] :
( ( cTEST(X)
| ~ cC12(X)
| ~ cC8xcomp(X) )
& ( ( cC12(X)
& cC8xcomp(X) )
| ~ cTEST(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_13_2,plain,
! [U_52] :
( ( cTEST(U_52)
| ~ cC12(U_52)
| ~ cC8xcomp(U_52) )
& ( ( cC12(U_52)
& cC8xcomp(U_52) )
| ~ cTEST(U_52) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_54] :
( cTEST(U_54)
| ~ cC12(U_54)
| ~ cC8xcomp(U_54) )
& ! [U_53] :
( ( cC12(U_53)
& cC8xcomp(U_53) )
| ~ cTEST(U_53) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( cC8xcomp(U_53)
| ~ cTEST(U_53) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_5,plain,
( cC12(U_53)
| ~ cTEST(U_53) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_6,plain,
( cTEST(U_54)
| ~ cC12(U_54)
| ~ cC8xcomp(U_54) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
cTEST(iV21080),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
cnf(f_14_2,plain,
cTEST(iV21080),
inference(clausify,[status(thm)],[f_14_1]) ).
fof(f_15_1,plain,
cC8xcomp(iV21080),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
cnf(f_15_2,plain,
cC8xcomp(iV21080),
inference(clausify,[status(thm)],[f_15_1]) ).
fof(f_16_1,plain,
cowlThing(iV21080),
inference(fof_nnf,[status(thm)],[axiom_15]) ).
cnf(f_16_2,plain,
cowlThing(iV21080),
inference(clausify,[status(thm)],[f_16_1]) ).
fof(f_17_1,plain,
! [X] :
( cC6xcomp(X)
| ~ rR1(iV21080,X) ),
inference(fof_nnf,[status(thm)],[axiom_16]) ).
fof(f_17_2,plain,
! [U_55] :
( cC6xcomp(U_55)
| ~ rR1(iV21080,U_55) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( cC6xcomp(U_55)
| ~ rR1(iV21080,U_55) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
rR1(iV21080,iV21081),
inference(fof_nnf,[status(thm)],[axiom_17]) ).
cnf(f_18_2,plain,
rR1(iV21080,iV21081),
inference(clausify,[status(thm)],[f_18_1]) ).
fof(f_19_1,plain,
cC4(iV21081),
inference(fof_nnf,[status(thm)],[axiom_18]) ).
cnf(f_19_2,plain,
cC4(iV21081),
inference(clausify,[status(thm)],[f_19_1]) ).
fof(f_20_1,plain,
cC6xcomp(iV21081),
inference(fof_nnf,[status(thm)],[axiom_19]) ).
cnf(f_20_2,plain,
cC6xcomp(iV21081),
inference(clausify,[status(thm)],[f_20_1]) ).
fof(f_21_1,plain,
cC2(iV21081),
inference(fof_nnf,[status(thm)],[axiom_20]) ).
cnf(f_21_2,plain,
cC2(iV21081),
inference(clausify,[status(thm)],[f_21_1]) ).
fof(f_22_1,plain,
cowlThing(iV21081),
inference(fof_nnf,[status(thm)],[axiom_21]) ).
cnf(f_22_2,plain,
cowlThing(iV21081),
inference(clausify,[status(thm)],[f_22_1]) ).
fof(f_23_1,negated_conjecture,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_23_2,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_23_1]) ).
fof(f_23_3,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [U_57] :
( ( ~ xsd_string(U_57)
& ~ xsd_integer(U_57) )
| ( xsd_integer(U_57)
& xsd_string(U_57) ) )
| ? [U_56] :
( cowlNothing(U_56)
| ~ cowlThing(U_56) ) ),
inference(variable_rename,[status(thm)],[f_23_2]) ).
fof(f_23_4,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [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_23_3]) ).
fof(f_23_5,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [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(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_58,sK9)],[f_23_4]) ).
fof(f_23_6,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [U_61] :
( ~ xsd_string(U_61)
& ~ xsd_integer(U_61) )
| ? [U_60] :
( xsd_integer(U_60)
& xsd_string(U_60) )
| cowlNothing(sK10)
| ~ cowlThing(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_59,sK10)],[f_23_5]) ).
fof(f_23_7,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [U_61] :
( ~ xsd_string(U_61)
& ~ xsd_integer(U_61) )
| ( xsd_integer(sK11)
& xsd_string(sK11) )
| cowlNothing(sK10)
| ~ cowlThing(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_60,sK11)],[f_23_6]) ).
fof(f_23_8,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ( ~ xsd_string(sK12)
& ~ xsd_integer(sK12) )
| ( xsd_integer(sK11)
& xsd_string(sK11) )
| cowlNothing(sK10)
| ~ cowlThing(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_61,sK12)],[f_23_7]) ).
fof(f_23_9,negated_conjecture,
( ( ~ xsd_string(sK12)
| ~ sP1 )
& ( ~ xsd_integer(sK12)
| ~ sP1 )
& ( xsd_integer(sK11)
| ~ sP0 )
& ( xsd_string(sK11)
| ~ sP0 )
& ( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| sP1
| sP0
| cowlNothing(sK10)
| ~ cowlThing(sK9) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_23_8]) ).
cnf(f_23_10,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| sP1
| sP0
| cowlNothing(sK10)
| ~ cowlThing(sK9) ),
inference(clausify,[status(thm)],[f_23_9]) ).
cnf(f_23_11,negated_conjecture,
( xsd_string(sK11)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_23_9]) ).
cnf(f_23_12,negated_conjecture,
( xsd_integer(sK11)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_23_9]) ).
cnf(f_23_13,negated_conjecture,
( ~ xsd_integer(sK12)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_23_9]) ).
cnf(f_23_14,negated_conjecture,
( ~ xsd_string(sK12)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_23_9]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS160+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % 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 12:16:12 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % SZS status Theorem for theBenchmark
% 0.09/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------