%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS158+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 : n014.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 0.12s 0.42s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 144 ( 74 unt; 0 def)
% Number of atoms : 462 ( 0 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 548 ( 230 ~; 218 |; 91 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 79 ( 2 sgn 50 !; 18 ?)
% 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_5,axiom,
! [X] :
( cC12(X)
<=> ( cC2xcomp(X)
& cC10xcomp(X) ) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_7,axiom,
! [X] :
( cC16(X)
<=> ( cC8(X)
& cC14(X) ) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( cC18(X)
<=> ( cC16(X)
& cTOP(X) ) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_14,axiom,
! [X] :
( cC6(X)
<=> ( cC2xcomp(X)
& cC4xcomp(X) ) ),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( cC6(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_15) ).
fof(axiom_16,axiom,
! [X] :
( cTEST(X)
<=> ( cC18(X)
& cTOP(X) ) ),
file('theBenchmark.p',axiom_16) ).
fof(axiom_17,axiom,
cowlThing(iV16560),
file('theBenchmark.p',axiom_17) ).
fof(axiom_18,axiom,
cTEST(iV16560),
file('theBenchmark.p',axiom_18) ).
fof(axiom_21,axiom,
rR1(iV16560,iV16561),
file('theBenchmark.p',axiom_21) ).
fof(axiom_22,axiom,
cowlThing(iV16561),
file('theBenchmark.p',axiom_22) ).
fof(axiom_24,axiom,
cC4xcomp(iV16561),
file('theBenchmark.p',axiom_24) ).
fof(axiom_25,axiom,
cC2xcomp(iV16561),
file('theBenchmark.p',axiom_25) ).
fof(axiom_26,axiom,
cowlThing(iV16562),
file('theBenchmark.p',axiom_26) ).
fof(axiom_28,axiom,
cC10xcomp(iV16562),
file('theBenchmark.p',axiom_28) ).
fof(axiom_29,axiom,
cC2xcomp(iV16562),
file('theBenchmark.p',axiom_29) ).
fof(the_axiom,conjecture,
( cowlThing(iV16562)
& cC12(iV16562)
& cowlThing(iV16561)
& cC6(iV16561)
& cowlThing(iV16560)
& cC16(iV16560)
& cC8(iV16560)
& cC14(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_6_1,plain,
! [X] :
( ( cC12(X)
| ~ cC2xcomp(X)
| ~ cC10xcomp(X) )
& ( ( cC2xcomp(X)
& cC10xcomp(X) )
| ~ cC12(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_21] :
( ( cC12(U_21)
| ~ cC2xcomp(U_21)
| ~ cC10xcomp(U_21) )
& ( ( cC2xcomp(U_21)
& cC10xcomp(U_21) )
| ~ cC12(U_21) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_23] :
( cC12(U_23)
| ~ cC2xcomp(U_23)
| ~ cC10xcomp(U_23) )
& ! [U_22] :
( ( cC2xcomp(U_22)
& cC10xcomp(U_22) )
| ~ cC12(U_22) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
cnf(f_6_6,plain,
( cC12(U_23)
| ~ cC2xcomp(U_23)
| ~ cC10xcomp(U_23) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_8_1,plain,
! [X] :
( ( cC16(X)
| ~ cC8(X)
| ~ cC14(X) )
& ( ( cC8(X)
& cC14(X) )
| ~ cC16(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_29] :
( ( cC16(U_29)
| ~ cC8(U_29)
| ~ cC14(U_29) )
& ( ( cC8(U_29)
& cC14(U_29) )
| ~ cC16(U_29) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_31] :
( cC16(U_31)
| ~ cC8(U_31)
| ~ cC14(U_31) )
& ! [U_30] :
( ( cC8(U_30)
& cC14(U_30) )
| ~ cC16(U_30) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
cnf(f_8_4,plain,
( cC14(U_30)
| ~ cC16(U_30) ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [X] :
( ( cC18(X)
| ~ cC16(X)
| ~ cTOP(X) )
& ( ( cC16(X)
& cTOP(X) )
| ~ cC18(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_9_2,plain,
! [U_32] :
( ( cC18(U_32)
| ~ cC16(U_32)
| ~ cTOP(U_32) )
& ( ( cC16(U_32)
& cTOP(U_32) )
| ~ cC18(U_32) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_34] :
( cC18(U_34)
| ~ cC16(U_34)
| ~ cTOP(U_34) )
& ! [U_33] :
( ( cC16(U_33)
& cTOP(U_33) )
| ~ cC18(U_33) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
cnf(f_9_5,plain,
( cC16(U_33)
| ~ cC18(U_33) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_15_1,plain,
! [X] :
( ( cC6(X)
| ~ cC2xcomp(X)
| ~ cC4xcomp(X) )
& ( ( cC2xcomp(X)
& cC4xcomp(X) )
| ~ cC6(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
fof(f_15_2,plain,
! [U_60] :
( ( cC6(U_60)
| ~ cC2xcomp(U_60)
| ~ cC4xcomp(U_60) )
& ( ( cC2xcomp(U_60)
& cC4xcomp(U_60) )
| ~ cC6(U_60) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_62] :
( cC6(U_62)
| ~ cC2xcomp(U_62)
| ~ cC4xcomp(U_62) )
& ! [U_61] :
( ( cC2xcomp(U_61)
& cC4xcomp(U_61) )
| ~ cC6(U_61) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
cnf(f_15_6,plain,
( cC6(U_62)
| ~ cC2xcomp(U_62)
| ~ cC4xcomp(U_62) ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_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_15]) ).
fof(f_16_2,plain,
! [U_65] :
( ( cC8(U_65)
| ! [U_64] :
( ~ cC6(U_64)
| ~ rR1(U_65,U_64) ) )
& ( ? [U_63] :
( cC6(U_63)
& rR1(U_65,U_63) )
| ~ cC8(U_65) ) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( ! [U_67] :
( cC8(U_67)
| ! [U_64] :
( ~ cC6(U_64)
| ~ rR1(U_67,U_64) ) )
& ! [U_66] :
( ? [U_63] :
( cC6(U_63)
& rR1(U_66,U_63) )
| ~ cC8(U_66) ) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
( ! [U_67] :
( cC8(U_67)
| ! [U_64] :
( ~ cC6(U_64)
| ~ rR1(U_67,U_64) ) )
& ! [U_66] :
( ( cC6(sK10(U_66))
& rR1(U_66,sK10(U_66)) )
| ~ cC8(U_66) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_63,sK10(U_66))],[f_16_3]) ).
cnf(f_16_7,plain,
( cC8(U_67)
| ~ cC6(U_64)
| ~ rR1(U_67,U_64) ),
inference(clausify,[status(thm)],[f_16_4]) ).
fof(f_17_1,plain,
! [X] :
( ( cTEST(X)
| ~ cC18(X)
| ~ cTOP(X) )
& ( ( cC18(X)
& cTOP(X) )
| ~ cTEST(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_16]) ).
fof(f_17_2,plain,
! [U_68] :
( ( cTEST(U_68)
| ~ cC18(U_68)
| ~ cTOP(U_68) )
& ( ( cC18(U_68)
& cTOP(U_68) )
| ~ cTEST(U_68) ) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ! [U_70] :
( cTEST(U_70)
| ~ cC18(U_70)
| ~ cTOP(U_70) )
& ! [U_69] :
( ( cC18(U_69)
& cTOP(U_69) )
| ~ cTEST(U_69) ) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
cnf(f_17_5,plain,
( cC18(U_69)
| ~ cTEST(U_69) ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
cowlThing(iV16560),
inference(fof_nnf,[status(thm)],[axiom_17]) ).
cnf(f_18_2,plain,
cowlThing(iV16560),
inference(clausify,[status(thm)],[f_18_1]) ).
fof(f_19_1,plain,
cTEST(iV16560),
inference(fof_nnf,[status(thm)],[axiom_18]) ).
cnf(f_19_2,plain,
cTEST(iV16560),
inference(clausify,[status(thm)],[f_19_1]) ).
fof(f_22_1,plain,
rR1(iV16560,iV16561),
inference(fof_nnf,[status(thm)],[axiom_21]) ).
cnf(f_22_2,plain,
rR1(iV16560,iV16561),
inference(clausify,[status(thm)],[f_22_1]) ).
fof(f_23_1,plain,
cowlThing(iV16561),
inference(fof_nnf,[status(thm)],[axiom_22]) ).
cnf(f_23_2,plain,
cowlThing(iV16561),
inference(clausify,[status(thm)],[f_23_1]) ).
fof(f_25_1,plain,
cC4xcomp(iV16561),
inference(fof_nnf,[status(thm)],[axiom_24]) ).
cnf(f_25_2,plain,
cC4xcomp(iV16561),
inference(clausify,[status(thm)],[f_25_1]) ).
fof(f_26_1,plain,
cC2xcomp(iV16561),
inference(fof_nnf,[status(thm)],[axiom_25]) ).
cnf(f_26_2,plain,
cC2xcomp(iV16561),
inference(clausify,[status(thm)],[f_26_1]) ).
fof(f_27_1,plain,
cowlThing(iV16562),
inference(fof_nnf,[status(thm)],[axiom_26]) ).
cnf(f_27_2,plain,
cowlThing(iV16562),
inference(clausify,[status(thm)],[f_27_1]) ).
fof(f_29_1,plain,
cC10xcomp(iV16562),
inference(fof_nnf,[status(thm)],[axiom_28]) ).
cnf(f_29_2,plain,
cC10xcomp(iV16562),
inference(clausify,[status(thm)],[f_29_1]) ).
fof(f_30_1,plain,
cC2xcomp(iV16562),
inference(fof_nnf,[status(thm)],[axiom_29]) ).
cnf(f_30_2,plain,
cC2xcomp(iV16562),
inference(clausify,[status(thm)],[f_30_1]) ).
fof(f_31_1,negated_conjecture,
~ ( cowlThing(iV16562)
& cC12(iV16562)
& cowlThing(iV16561)
& cC6(iV16561)
& cowlThing(iV16560)
& cC16(iV16560)
& cC8(iV16560)
& cC14(iV16560)
& cC18(iV16560)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_31_2,negated_conjecture,
( ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(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_31_1]) ).
fof(f_31_3,negated_conjecture,
( ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ? [U_74] :
( ( ~ xsd_string(U_74)
& ~ xsd_integer(U_74) )
| ( xsd_integer(U_74)
& xsd_string(U_74) ) )
| ? [U_73] :
( cowlNothing(U_73)
| ~ cowlThing(U_73) ) ),
inference(variable_rename,[status(thm)],[f_31_2]) ).
fof(f_31_4,negated_conjecture,
( ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ? [U_78] :
( ~ xsd_string(U_78)
& ~ xsd_integer(U_78) )
| ? [U_77] :
( xsd_integer(U_77)
& xsd_string(U_77) )
| ? [U_76] : cowlNothing(U_76)
| ? [U_75] : ~ cowlThing(U_75) ),
inference(miniscope,[status(thm)],[f_31_3]) ).
fof(f_31_5,negated_conjecture,
( ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ? [U_78] :
( ~ xsd_string(U_78)
& ~ xsd_integer(U_78) )
| ? [U_77] :
( xsd_integer(U_77)
& xsd_string(U_77) )
| ? [U_76] : cowlNothing(U_76)
| ~ cowlThing(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_75,sK11)],[f_31_4]) ).
fof(f_31_6,negated_conjecture,
( ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ? [U_78] :
( ~ xsd_string(U_78)
& ~ xsd_integer(U_78) )
| ? [U_77] :
( xsd_integer(U_77)
& xsd_string(U_77) )
| cowlNothing(sK12)
| ~ cowlThing(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_76,sK12)],[f_31_5]) ).
fof(f_31_7,negated_conjecture,
( ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ? [U_78] :
( ~ xsd_string(U_78)
& ~ xsd_integer(U_78) )
| ( xsd_integer(sK13)
& xsd_string(sK13) )
| cowlNothing(sK12)
| ~ cowlThing(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_77,sK13)],[f_31_6]) ).
fof(f_31_8,negated_conjecture,
( ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ( ~ xsd_string(sK14)
& ~ xsd_integer(sK14) )
| ( xsd_integer(sK13)
& xsd_string(sK13) )
| cowlNothing(sK12)
| ~ cowlThing(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_78,sK14)],[f_31_7]) ).
fof(f_31_9,negated_conjecture,
( ( ~ xsd_string(sK14)
| ~ sP1 )
& ( ~ xsd_integer(sK14)
| ~ sP1 )
& ( xsd_integer(sK13)
| ~ sP0 )
& ( xsd_string(sK13)
| ~ sP0 )
& ( ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| sP1
| sP0
| cowlNothing(sK12)
| ~ cowlThing(sK11) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_31_8]) ).
cnf(f_31_10,negated_conjecture,
( ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| sP1
| sP0
| cowlNothing(sK12)
| ~ cowlThing(sK11) ),
inference(clausify,[status(thm)],[f_31_9]) ).
cnf(f_31_11,negated_conjecture,
( xsd_string(sK13)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_31_9]) ).
cnf(f_31_12,negated_conjecture,
( xsd_integer(sK13)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_31_9]) ).
cnf(f_31_13,negated_conjecture,
( ~ xsd_integer(sK14)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_31_9]) ).
cnf(f_31_14,negated_conjecture,
( ~ xsd_string(sK14)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_31_9]) ).
cnf(t1,plain,
~ cowlNothing(sK12),
inference(start,[status(thm),parent(0:0)],[f_1_5]) ).
cnf(t2,plain,
( ~ cowlThing(iV16562)
| sP0
| sP1
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(sK11)
| cowlNothing(sK12) ),
inference(extension,[status(thm),parent(t1:1)],[f_31_10]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
cowlThing(sK11),
inference(extension,[status(thm),parent(t2:2)],[f_1_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ cC2xcomp(iV16562)
| ~ cC10xcomp(iV16562)
| cC12(iV16562) ),
inference(extension,[status(thm),parent(t2:3)],[f_6_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
cC10xcomp(iV16562),
inference(extension,[status(thm),parent(t6:2)],[f_29_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
cC2xcomp(iV16562),
inference(extension,[status(thm),parent(t6:3)],[f_30_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
cowlThing(iV16561),
inference(extension,[status(thm),parent(t2:4)],[f_23_2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:4]) ).
cnf(t14,plain,
( ~ cC2xcomp(iV16561)
| ~ cC4xcomp(iV16561)
| cC6(iV16561) ),
inference(extension,[status(thm),parent(t2:5)],[f_15_6]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:5]) ).
cnf(t16,plain,
cC4xcomp(iV16561),
inference(extension,[status(thm),parent(t14:2)],[f_25_2]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
cC2xcomp(iV16561),
inference(extension,[status(thm),parent(t14:3)],[f_26_2]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(l7,lemma,
cC6(iV16561),
inference(lemma,[status(cth),parent(t2:5),below(t1:1)],[t2:5]) ).
cnf(t20,plain,
cowlThing(iV16560),
inference(extension,[status(thm),parent(t2:6)],[f_18_2]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:6]) ).
cnf(t22,plain,
( ~ cC18(iV16560)
| cC16(iV16560) ),
inference(extension,[status(thm),parent(t2:7)],[f_9_5]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t2:7]) ).
cnf(t24,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(extension,[status(thm),parent(t22:2)],[f_17_5]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
cTEST(iV16560),
inference(extension,[status(thm),parent(t24:2)],[f_19_2]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(l11,lemma,
cC16(iV16560),
inference(lemma,[status(cth),parent(t2:7),below(t1:1)],[t2:7]) ).
cnf(t28,plain,
( ~ cC6(iV16561)
| ~ rR1(iV16560,iV16561)
| cC8(iV16560) ),
inference(extension,[status(thm),parent(t2:8)],[f_16_7]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t2:8]) ).
cnf(t30,plain,
rR1(iV16560,iV16561),
inference(extension,[status(thm),parent(t28:2)],[f_22_2]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
cC6(iV16561),
inference(lemma_extension,[status(thm),parent(t28:3)],[l7:1]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t28:3]) ).
cnf(t34,plain,
( ~ cC16(iV16560)
| cC14(iV16560) ),
inference(extension,[status(thm),parent(t2:9)],[f_8_4]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t2:9]) ).
cnf(t36,plain,
cC16(iV16560),
inference(lemma_extension,[status(thm),parent(t34:2)],[l11:1]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(extension,[status(thm),parent(t2:10)],[f_17_5]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t2:10]) ).
cnf(t40,plain,
cTEST(iV16560),
inference(extension,[status(thm),parent(t38:2)],[f_19_2]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
( ~ xsd_string(sK14)
| ~ sP1 ),
inference(extension,[status(thm),parent(t2:11)],[f_31_14]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t2:11]) ).
cnf(t44,plain,
( xsd_integer(sK14)
| xsd_string(sK14) ),
inference(extension,[status(thm),parent(t42:2)],[f_2_5]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
( ~ sP1
| ~ xsd_integer(sK14) ),
inference(extension,[status(thm),parent(t44:2)],[f_31_13]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
$false,
inference(reduction,[status(thm),parent(t46:2)],[t46:2,t2:11]) ).
cnf(t49,plain,
( xsd_integer(sK13)
| ~ sP0 ),
inference(extension,[status(thm),parent(t2:12)],[f_31_12]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t2:12]) ).
cnf(t51,plain,
( ~ xsd_string(sK13)
| ~ xsd_integer(sK13) ),
inference(extension,[status(thm),parent(t49:2)],[f_2_4]) ).
cnf(t52,plain,
$false,
inference(connection,[status(thm),parent(t51:1)],[t51:1,t49:2]) ).
cnf(t53,plain,
( ~ sP0
| xsd_string(sK13) ),
inference(extension,[status(thm),parent(t51:2)],[f_31_11]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t51:2]) ).
cnf(t55,plain,
$false,
inference(reduction,[status(thm),parent(t53:2)],[t53:2,t2:12]) ).
cnf(t56,plain,
cowlThing(iV16562),
inference(extension,[status(thm),parent(t2:13)],[f_27_2]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t2:13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS158+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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n014.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 19 12:16:20 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.12/0.42 % SZS status Theorem for theBenchmark
% 0.12/0.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------