%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS150+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 : n016.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 08:47:23 AM UTC 2026
% Result : Theorem 0.21s 0.46s
% Output : Proof 0.21s
% 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)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cC12(X)
<=> ( ~ cC10(X)
& ~ cC2(X) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cC14(X)
<=> ? [Y] :
( cC12(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cC16(X)
<=> ( cC8(X)
& cC14(X) ) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cC18(X)
<=> ( cC16(X)
& cTOP(X) ) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cC4(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( cC6(X)
<=> ( ~ cC4(X)
& ~ cC2(X) ) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( cC6(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X] :
( cTEST(X)
<=> ( cTOP(X)
& cC18(X) ) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
cTOP(iV16560),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
cTEST(iV16560),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
cowlThing(iV16560),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
rR1(iV16560,iV16562),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
rR1(iV16560,iV16561),
file('theBenchmark.p',axiom_15) ).
fof(axiom_16,axiom,
~ cC4(iV16561),
file('theBenchmark.p',axiom_16) ).
fof(axiom_17,axiom,
cowlThing(iV16561),
file('theBenchmark.p',axiom_17) ).
fof(axiom_18,axiom,
! [X] :
( rR1(iV16561,X)
=> cC2(X) ),
file('theBenchmark.p',axiom_18) ).
fof(axiom_19,axiom,
~ cC2(iV16561),
file('theBenchmark.p',axiom_19) ).
fof(axiom_20,axiom,
~ cC10(iV16562),
file('theBenchmark.p',axiom_20) ).
fof(axiom_21,axiom,
~ cC2(iV16562),
file('theBenchmark.p',axiom_21) ).
fof(axiom_22,axiom,
cowlThing(iV16562),
file('theBenchmark.p',axiom_22) ).
fof(axiom_23,axiom,
! [X] :
( rR1(iV16562,X)
=> cC2(X) ),
file('theBenchmark.p',axiom_23) ).
fof(the_axiom,conjecture,
( cC12(iV16562)
& cowlThing(iV16562)
& cC6(iV16561)
& cowlThing(iV16561)
& cC8(iV16560)
& cC14(iV16560)
& cowlThing(iV16560)
& cC16(iV16560)
& cC18(iV16560)
& ! [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)
| ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC10(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_8] :
( ( cC10(U_8)
| ! [U_7] :
( cC2(U_7)
| ~ rR1(U_8,U_7) ) )
& ( ? [U_6] :
( ~ cC2(U_6)
& rR1(U_8,U_6) )
| ~ cC10(U_8) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_10] :
( cC10(U_10)
| ! [U_7] :
( cC2(U_7)
| ~ rR1(U_10,U_7) ) )
& ! [U_9] :
( ? [U_6] :
( ~ cC2(U_6)
& rR1(U_9,U_6) )
| ~ cC10(U_9) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
( ! [U_10] :
( cC10(U_10)
| ! [U_7] :
( cC2(U_7)
| ~ rR1(U_10,U_7) ) )
& ! [U_9] :
( ( ~ cC2(sK1(U_9))
& rR1(U_9,sK1(U_9)) )
| ~ cC10(U_9) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1(U_9))],[f_3_3]) ).
cnf(f_3_5,plain,
( rR1(U_9,sK1(U_9))
| ~ cC10(U_9) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_6,plain,
( ~ cC2(sK1(U_9))
| ~ cC10(U_9) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_7,plain,
( cC10(U_10)
| cC2(U_7)
| ~ rR1(U_10,U_7) ),
inference(clausify,[status(thm)],[f_3_4]) ).
fof(f_4_1,plain,
! [X] :
( ( cC12(X)
| cC10(X)
| cC2(X) )
& ( ( ~ cC10(X)
& ~ cC2(X) )
| ~ cC12(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_11] :
( ( cC12(U_11)
| cC10(U_11)
| cC2(U_11) )
& ( ( ~ cC10(U_11)
& ~ cC2(U_11) )
| ~ cC12(U_11) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_13] :
( cC12(U_13)
| cC10(U_13)
| cC2(U_13) )
& ! [U_12] :
( ( ~ cC10(U_12)
& ~ cC2(U_12) )
| ~ cC12(U_12) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
cnf(f_4_4,plain,
( ~ cC2(U_12)
| ~ cC12(U_12) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_5,plain,
( ~ cC10(U_12)
| ~ cC12(U_12) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_6,plain,
( cC12(U_13)
| cC10(U_13)
| cC2(U_13) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [X] :
( ( cC14(X)
| ! [Y] :
( ~ cC12(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC12(Y)
& rR1(X,Y) )
| ~ cC14(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_16] :
( ( cC14(U_16)
| ! [U_15] :
( ~ cC12(U_15)
| ~ rR1(U_16,U_15) ) )
& ( ? [U_14] :
( cC12(U_14)
& rR1(U_16,U_14) )
| ~ cC14(U_16) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_18] :
( cC14(U_18)
| ! [U_15] :
( ~ cC12(U_15)
| ~ rR1(U_18,U_15) ) )
& ! [U_17] :
( ? [U_14] :
( cC12(U_14)
& rR1(U_17,U_14) )
| ~ cC14(U_17) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_18] :
( cC14(U_18)
| ! [U_15] :
( ~ cC12(U_15)
| ~ rR1(U_18,U_15) ) )
& ! [U_17] :
( ( cC12(sK2(U_17))
& rR1(U_17,sK2(U_17)) )
| ~ cC14(U_17) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_14,sK2(U_17))],[f_5_3]) ).
cnf(f_5_5,plain,
( rR1(U_17,sK2(U_17))
| ~ cC14(U_17) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_6,plain,
( cC12(sK2(U_17))
| ~ cC14(U_17) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_7,plain,
( cC14(U_18)
| ~ cC12(U_15)
| ~ rR1(U_18,U_15) ),
inference(clausify,[status(thm)],[f_5_4]) ).
fof(f_6_1,plain,
! [X] :
( ( cC16(X)
| ~ cC8(X)
| ~ cC14(X) )
& ( ( cC8(X)
& cC14(X) )
| ~ cC16(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_19] :
( ( cC16(U_19)
| ~ cC8(U_19)
| ~ cC14(U_19) )
& ( ( cC8(U_19)
& cC14(U_19) )
| ~ cC16(U_19) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_21] :
( cC16(U_21)
| ~ cC8(U_21)
| ~ cC14(U_21) )
& ! [U_20] :
( ( cC8(U_20)
& cC14(U_20) )
| ~ cC16(U_20) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( cC14(U_20)
| ~ cC16(U_20) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_5,plain,
( cC8(U_20)
| ~ cC16(U_20) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_6,plain,
( cC16(U_21)
| ~ cC8(U_21)
| ~ cC14(U_21) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [X] :
( ( cC18(X)
| ~ cC16(X)
| ~ cTOP(X) )
& ( ( cC16(X)
& cTOP(X) )
| ~ cC18(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_22] :
( ( cC18(U_22)
| ~ cC16(U_22)
| ~ cTOP(U_22) )
& ( ( cC16(U_22)
& cTOP(U_22) )
| ~ cC18(U_22) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_24] :
( cC18(U_24)
| ~ cC16(U_24)
| ~ cTOP(U_24) )
& ! [U_23] :
( ( cC16(U_23)
& cTOP(U_23) )
| ~ cC18(U_23) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( cTOP(U_23)
| ~ cC18(U_23) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_5,plain,
( cC16(U_23)
| ~ cC18(U_23) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_6,plain,
( cC18(U_24)
| ~ cC16(U_24)
| ~ cTOP(U_24) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [X] :
( ( cC4(X)
| ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC4(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_27] :
( ( cC4(U_27)
| ! [U_26] :
( cC2(U_26)
| ~ rR1(U_27,U_26) ) )
& ( ? [U_25] :
( ~ cC2(U_25)
& rR1(U_27,U_25) )
| ~ cC4(U_27) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_29] :
( cC4(U_29)
| ! [U_26] :
( cC2(U_26)
| ~ rR1(U_29,U_26) ) )
& ! [U_28] :
( ? [U_25] :
( ~ cC2(U_25)
& rR1(U_28,U_25) )
| ~ cC4(U_28) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_29] :
( cC4(U_29)
| ! [U_26] :
( cC2(U_26)
| ~ rR1(U_29,U_26) ) )
& ! [U_28] :
( ( ~ cC2(sK3(U_28))
& rR1(U_28,sK3(U_28)) )
| ~ cC4(U_28) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_25,sK3(U_28))],[f_8_3]) ).
cnf(f_8_5,plain,
( rR1(U_28,sK3(U_28))
| ~ cC4(U_28) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_6,plain,
( ~ cC2(sK3(U_28))
| ~ cC4(U_28) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_7,plain,
( cC4(U_29)
| cC2(U_26)
| ~ rR1(U_29,U_26) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_9_1,plain,
! [X] :
( ( cC6(X)
| cC4(X)
| cC2(X) )
& ( ( ~ cC4(X)
& ~ cC2(X) )
| ~ cC6(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_9_2,plain,
! [U_30] :
( ( cC6(U_30)
| cC4(U_30)
| cC2(U_30) )
& ( ( ~ cC4(U_30)
& ~ cC2(U_30) )
| ~ cC6(U_30) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_32] :
( cC6(U_32)
| cC4(U_32)
| cC2(U_32) )
& ! [U_31] :
( ( ~ cC4(U_31)
& ~ cC2(U_31) )
| ~ cC6(U_31) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
cnf(f_9_4,plain,
( ~ cC2(U_31)
| ~ cC6(U_31) ),
inference(clausify,[status(thm)],[f_9_3]) ).
cnf(f_9_5,plain,
( ~ cC4(U_31)
| ~ cC6(U_31) ),
inference(clausify,[status(thm)],[f_9_3]) ).
cnf(f_9_6,plain,
( cC6(U_32)
| cC4(U_32)
| cC2(U_32) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_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_9]) ).
fof(f_10_2,plain,
! [U_35] :
( ( cC8(U_35)
| ! [U_34] :
( ~ cC6(U_34)
| ~ rR1(U_35,U_34) ) )
& ( ? [U_33] :
( cC6(U_33)
& rR1(U_35,U_33) )
| ~ cC8(U_35) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_37] :
( cC8(U_37)
| ! [U_34] :
( ~ cC6(U_34)
| ~ rR1(U_37,U_34) ) )
& ! [U_36] :
( ? [U_33] :
( cC6(U_33)
& rR1(U_36,U_33) )
| ~ cC8(U_36) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
( ! [U_37] :
( cC8(U_37)
| ! [U_34] :
( ~ cC6(U_34)
| ~ rR1(U_37,U_34) ) )
& ! [U_36] :
( ( cC6(sK4(U_36))
& rR1(U_36,sK4(U_36)) )
| ~ cC8(U_36) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_33,sK4(U_36))],[f_10_3]) ).
cnf(f_10_5,plain,
( rR1(U_36,sK4(U_36))
| ~ cC8(U_36) ),
inference(clausify,[status(thm)],[f_10_4]) ).
cnf(f_10_6,plain,
( cC6(sK4(U_36))
| ~ cC8(U_36) ),
inference(clausify,[status(thm)],[f_10_4]) ).
cnf(f_10_7,plain,
( cC8(U_37)
| ~ cC6(U_34)
| ~ rR1(U_37,U_34) ),
inference(clausify,[status(thm)],[f_10_4]) ).
fof(f_11_1,plain,
! [X] :
( ( cTEST(X)
| ~ cTOP(X)
| ~ cC18(X) )
& ( ( cTOP(X)
& cC18(X) )
| ~ cTEST(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_11_2,plain,
! [U_38] :
( ( cTEST(U_38)
| ~ cTOP(U_38)
| ~ cC18(U_38) )
& ( ( cTOP(U_38)
& cC18(U_38) )
| ~ cTEST(U_38) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_40] :
( cTEST(U_40)
| ~ cTOP(U_40)
| ~ cC18(U_40) )
& ! [U_39] :
( ( cTOP(U_39)
& cC18(U_39) )
| ~ cTEST(U_39) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
cnf(f_11_4,plain,
( cC18(U_39)
| ~ cTEST(U_39) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_5,plain,
( cTOP(U_39)
| ~ cTEST(U_39) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_6,plain,
( cTEST(U_40)
| ~ cTOP(U_40)
| ~ cC18(U_40) ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
cTOP(iV16560),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
cnf(f_12_2,plain,
cTOP(iV16560),
inference(clausify,[status(thm)],[f_12_1]) ).
fof(f_13_1,plain,
cTEST(iV16560),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
cnf(f_13_2,plain,
cTEST(iV16560),
inference(clausify,[status(thm)],[f_13_1]) ).
fof(f_14_1,plain,
cowlThing(iV16560),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
cnf(f_14_2,plain,
cowlThing(iV16560),
inference(clausify,[status(thm)],[f_14_1]) ).
fof(f_15_1,plain,
rR1(iV16560,iV16562),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
cnf(f_15_2,plain,
rR1(iV16560,iV16562),
inference(clausify,[status(thm)],[f_15_1]) ).
fof(f_16_1,plain,
rR1(iV16560,iV16561),
inference(fof_nnf,[status(thm)],[axiom_15]) ).
cnf(f_16_2,plain,
rR1(iV16560,iV16561),
inference(clausify,[status(thm)],[f_16_1]) ).
fof(f_17_1,plain,
~ cC4(iV16561),
inference(fof_nnf,[status(thm)],[axiom_16]) ).
cnf(f_17_2,plain,
~ cC4(iV16561),
inference(clausify,[status(thm)],[f_17_1]) ).
fof(f_18_1,plain,
cowlThing(iV16561),
inference(fof_nnf,[status(thm)],[axiom_17]) ).
cnf(f_18_2,plain,
cowlThing(iV16561),
inference(clausify,[status(thm)],[f_18_1]) ).
fof(f_19_1,plain,
! [X] :
( cC2(X)
| ~ rR1(iV16561,X) ),
inference(fof_nnf,[status(thm)],[axiom_18]) ).
fof(f_19_2,plain,
! [U_41] :
( cC2(U_41)
| ~ rR1(iV16561,U_41) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( cC2(U_41)
| ~ rR1(iV16561,U_41) ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_1,plain,
~ cC2(iV16561),
inference(fof_nnf,[status(thm)],[axiom_19]) ).
cnf(f_20_2,plain,
~ cC2(iV16561),
inference(clausify,[status(thm)],[f_20_1]) ).
fof(f_21_1,plain,
~ cC10(iV16562),
inference(fof_nnf,[status(thm)],[axiom_20]) ).
cnf(f_21_2,plain,
~ cC10(iV16562),
inference(clausify,[status(thm)],[f_21_1]) ).
fof(f_22_1,plain,
~ cC2(iV16562),
inference(fof_nnf,[status(thm)],[axiom_21]) ).
cnf(f_22_2,plain,
~ cC2(iV16562),
inference(clausify,[status(thm)],[f_22_1]) ).
fof(f_23_1,plain,
cowlThing(iV16562),
inference(fof_nnf,[status(thm)],[axiom_22]) ).
cnf(f_23_2,plain,
cowlThing(iV16562),
inference(clausify,[status(thm)],[f_23_1]) ).
fof(f_24_1,plain,
! [X] :
( cC2(X)
| ~ rR1(iV16562,X) ),
inference(fof_nnf,[status(thm)],[axiom_23]) ).
fof(f_24_2,plain,
! [U_42] :
( cC2(U_42)
| ~ rR1(iV16562,U_42) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( cC2(U_42)
| ~ rR1(iV16562,U_42) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,negated_conjecture,
~ ( cC12(iV16562)
& cowlThing(iV16562)
& cC6(iV16561)
& cowlThing(iV16561)
& cC8(iV16560)
& cC14(iV16560)
& cowlThing(iV16560)
& cC16(iV16560)
& cC18(iV16560)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_25_2,negated_conjecture,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_25_1]) ).
fof(f_25_3,negated_conjecture,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [U_44] :
( ( ~ xsd_string(U_44)
& ~ xsd_integer(U_44) )
| ( xsd_integer(U_44)
& xsd_string(U_44) ) )
| ? [U_43] :
( cowlNothing(U_43)
| ~ cowlThing(U_43) ) ),
inference(variable_rename,[status(thm)],[f_25_2]) ).
fof(f_25_4,negated_conjecture,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [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_25_3]) ).
fof(f_25_5,negated_conjecture,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [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(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_45,sK5)],[f_25_4]) ).
fof(f_25_6,negated_conjecture,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [U_48] :
( ~ xsd_string(U_48)
& ~ xsd_integer(U_48) )
| ? [U_47] :
( xsd_integer(U_47)
& xsd_string(U_47) )
| cowlNothing(sK6)
| ~ cowlThing(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_46,sK6)],[f_25_5]) ).
fof(f_25_7,negated_conjecture,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ? [U_48] :
( ~ xsd_string(U_48)
& ~ xsd_integer(U_48) )
| ( xsd_integer(sK7)
& xsd_string(sK7) )
| cowlNothing(sK6)
| ~ cowlThing(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_47,sK7)],[f_25_6]) ).
fof(f_25_8,negated_conjecture,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ( ~ xsd_string(sK8)
& ~ xsd_integer(sK8) )
| ( xsd_integer(sK7)
& xsd_string(sK7) )
| cowlNothing(sK6)
| ~ cowlThing(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_48,sK8)],[f_25_7]) ).
fof(f_25_9,negated_conjecture,
( ( ~ xsd_string(sK8)
| ~ sP1 )
& ( ~ xsd_integer(sK8)
| ~ sP1 )
& ( xsd_integer(sK7)
| ~ sP0 )
& ( xsd_string(sK7)
| ~ sP0 )
& ( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| sP1
| sP0
| cowlNothing(sK6)
| ~ cowlThing(sK5) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_25_8]) ).
cnf(f_25_10,negated_conjecture,
( ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| sP1
| sP0
| cowlNothing(sK6)
| ~ cowlThing(sK5) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_11,negated_conjecture,
( xsd_string(sK7)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_12,negated_conjecture,
( xsd_integer(sK7)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_13,negated_conjecture,
( ~ xsd_integer(sK8)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_14,negated_conjecture,
( ~ xsd_string(sK8)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS150+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 12:21:04 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.21/0.46 % SZS status Theorem for theBenchmark
% 0.21/0.46 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------