%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS158+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 08:46:46 PM UTC 2025
% Result : Theorem 0.21s 0.36s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of formulae : 115 ( 58 unt; 0 def)
% Number of atoms : 262 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 264 ( 117 ~; 111 |; 28 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 21 ( 2 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,plain,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(the_axiom_negated,plain,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(56,plain,
( ~ cowlThing(iV16562)
| ~ cowlThing(sK18)
| ~ cowlThing(iV16560)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cC18(iV16560)
| ~ xsd_integer(sK19)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| cowlNothing(sK18)
| xsd_string(sK19) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l0,plain,
( ~ cowlThing(iV16562)
| ~ cowlThing(sK18)
| ~ cowlThing(iV16560)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cC18(iV16560)
| ~ xsd_integer(sK19)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| cowlNothing(sK18)
| xsd_string(sK19) ),
inference(instantiation,[status(thm)],[56]) ).
fof(axiom_5,plain,
! [X] :
( cC12(X)
<=> ( cC10xcomp(X)
& cC2xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(13,plain,
( ~ cC2xcomp(X0)
| ~ cC10xcomp(X0)
| cC12(X0) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l1,plain,
( ~ cC2xcomp(iV16562)
| ~ cC10xcomp(iV16562)
| cC12(iV16562) ),
inference(instantiation,[status(thm)],[13]) ).
fof(axiom_26,plain,
cowlThing(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
cnf(52,plain,
cowlThing(iV16562),
inference(cnf,[status(esa)],[axiom_26]) ).
cnf(l2,plain,
cowlThing(iV16562),
inference(instantiation,[status(thm)],[52]) ).
fof(axiom_22,plain,
cowlThing(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
cnf(48,plain,
cowlThing(iV16561),
inference(cnf,[status(esa)],[axiom_22]) ).
cnf(l3,plain,
cowlThing(iV16561),
inference(instantiation,[status(thm)],[48]) ).
fof(axiom_0,plain,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
cnf(0,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l19,plain,
cowlThing(sK18),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
~ cowlNothing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l5,plain,
~ cowlNothing(sK18),
inference(instantiation,[status(thm)],[1]) ).
fof(axiom_17,plain,
cowlThing(iV16560),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
cnf(43,plain,
cowlThing(iV16560),
inference(cnf,[status(esa)],[axiom_17]) ).
cnf(l32,plain,
cowlThing(iV16560),
inference(instantiation,[status(thm)],[43]) ).
fof(axiom_8,plain,
! [X] :
( cC18(X)
<=> ( cTOP(X)
& cC16(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
cnf(21,plain,
( ~ cC18(X0)
| cC16(X0) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l7,plain,
( ~ cC18(iV16560)
| cC16(iV16560) ),
inference(instantiation,[status(thm)],[21]) ).
fof(axiom_7,plain,
! [X] :
( cC16(X)
<=> ( cC14(X)
& cC8(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(18,plain,
( ~ cC16(X0)
| cC8(X0) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l27,plain,
( ~ cC16(iV16560)
| cC8(iV16560) ),
inference(instantiation,[status(thm)],[18]) ).
fof(axiom_16,plain,
! [X] :
( cTEST(X)
<=> ( cTOP(X)
& cC18(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
cnf(41,plain,
( ~ cTEST(X0)
| cC18(X0) ),
inference(cnf,[status(esa)],[axiom_16]) ).
cnf(l33,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[41]) ).
fof(axiom_29,plain,
cC2xcomp(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
cnf(55,plain,
cC2xcomp(iV16562),
inference(cnf,[status(esa)],[axiom_29]) ).
cnf(l18,plain,
cC2xcomp(iV16562),
inference(instantiation,[status(thm)],[55]) ).
cnf(l11,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l38,plain,
( ~ cC18(iV16560)
| cC16(iV16560) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(57,plain,
( ~ cowlThing(iV16562)
| ~ cowlThing(sK18)
| ~ cowlThing(iV16560)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cC18(iV16560)
| ~ xsd_string(sK19)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| cowlNothing(sK18)
| xsd_integer(sK19) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l6,plain,
( ~ cowlThing(iV16562)
| ~ cowlThing(sK18)
| ~ cowlThing(iV16560)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cC18(iV16560)
| ~ xsd_string(sK19)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| cowlNothing(sK18)
| xsd_integer(sK19) ),
inference(instantiation,[status(thm)],[57]) ).
cnf(l87,plain,
cowlThing(sK18),
inference(instantiation,[status(thm)],[0]) ).
fof(axiom_1,plain,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
cnf(3,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l88,plain,
( xsd_string(sK19)
| xsd_integer(sK19) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l10,plain,
( ~ cC2xcomp(iV16562)
| ~ cC10xcomp(iV16562)
| cC12(iV16562) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l13,plain,
cowlThing(iV16560),
inference(instantiation,[status(thm)],[0]) ).
cnf(l89,plain,
( ~ cC16(iV16560)
| cC8(iV16560) ),
inference(instantiation,[status(thm)],[18]) ).
fof(axiom_14,plain,
! [X] :
( cC6(X)
<=> ( cC4xcomp(X)
& cC2xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
cnf(36,plain,
( ~ cC2xcomp(X0)
| ~ cC4xcomp(X0)
| cC6(X0) ),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l12,plain,
( ~ cC2xcomp(iV16561)
| ~ cC4xcomp(iV16561)
| cC6(iV16561) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l16,plain,
( ~ cC2xcomp(iV16561)
| ~ cC4xcomp(iV16561)
| cC6(iV16561) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(17,plain,
( ~ cC16(X0)
| cC14(X0) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l20,plain,
( ~ cC16(iV16560)
| cC14(iV16560) ),
inference(instantiation,[status(thm)],[17]) ).
fof(axiom_18,plain,
cTEST(iV16560),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
cnf(44,plain,
cTEST(iV16560),
inference(cnf,[status(esa)],[axiom_18]) ).
cnf(l34,plain,
cTEST(iV16560),
inference(instantiation,[status(thm)],[44]) ).
cnf(l90,plain,
cowlThing(iV16561),
inference(instantiation,[status(thm)],[0]) ).
cnf(l25,plain,
cTEST(iV16560),
inference(instantiation,[status(thm)],[44]) ).
cnf(l31,plain,
( ~ cC18(iV16560)
| cC16(iV16560) ),
inference(instantiation,[status(thm)],[21]) ).
fof(axiom_24,plain,
cC4xcomp(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
cnf(50,plain,
cC4xcomp(iV16561),
inference(cnf,[status(esa)],[axiom_24]) ).
cnf(l39,plain,
cC4xcomp(iV16561),
inference(instantiation,[status(thm)],[50]) ).
cnf(l40,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l92,plain,
( ~ cC16(iV16560)
| cC14(iV16560) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l17,plain,
( ~ cC18(iV16560)
| cC16(iV16560) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l95,plain,
( ~ cC18(iV16560)
| cC16(iV16560) ),
inference(instantiation,[status(thm)],[21]) ).
fof(axiom_25,plain,
cC2xcomp(iV16561),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
cnf(51,plain,
cC2xcomp(iV16561),
inference(cnf,[status(esa)],[axiom_25]) ).
cnf(l74,plain,
cC2xcomp(iV16561),
inference(instantiation,[status(thm)],[51]) ).
cnf(l54,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[41]) ).
fof(axiom_28,plain,
cC10xcomp(iV16562),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
cnf(54,plain,
cC10xcomp(iV16562),
inference(cnf,[status(esa)],[axiom_28]) ).
cnf(l91,plain,
cC10xcomp(iV16562),
inference(instantiation,[status(thm)],[54]) ).
cnf(l42,plain,
cTEST(iV16560),
inference(instantiation,[status(thm)],[44]) ).
cnf(l9,plain,
~ cowlNothing(sK18),
inference(instantiation,[status(thm)],[1]) ).
cnf(l126,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l127,plain,
cTEST(iV16560),
inference(instantiation,[status(thm)],[44]) ).
cnf(2,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l14,plain,
( ~ xsd_string(sK19)
| ~ xsd_integer(sK19) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l102,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l4,plain,
cC10xcomp(iV16562),
inference(instantiation,[status(thm)],[54]) ).
cnf(l97,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l99,plain,
( ~ cC18(iV16560)
| cC16(iV16560) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l101,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l111,plain,
cTEST(iV16560),
inference(instantiation,[status(thm)],[44]) ).
cnf(l15,plain,
cC4xcomp(iV16561),
inference(instantiation,[status(thm)],[50]) ).
cnf(l100,plain,
cC2xcomp(iV16561),
inference(instantiation,[status(thm)],[51]) ).
cnf(l105,plain,
cTEST(iV16560),
inference(instantiation,[status(thm)],[44]) ).
cnf(l98,plain,
cTEST(iV16560),
inference(instantiation,[status(thm)],[44]) ).
cnf(l96,plain,
cC2xcomp(iV16562),
inference(instantiation,[status(thm)],[55]) ).
cnf(l52,plain,
( ~ cowlThing(iV16562)
| ~ cowlThing(sK18)
| ~ cowlThing(iV16560)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cC18(iV16560)
| ~ xsd_string(sK19)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC6(iV16561)
| cowlNothing(sK18)
| xsd_integer(sK19) ),
inference(instantiation,[status(thm)],[57]) ).
cnf(l121,plain,
( ~ cC16(iV16560)
| cC14(iV16560) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l112,plain,
( ~ cC18(iV16560)
| cC16(iV16560) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l144,plain,
cowlThing(iV16561),
inference(instantiation,[status(thm)],[0]) ).
cnf(l137,plain,
( ~ cC2xcomp(iV16562)
| ~ cC10xcomp(iV16562)
| cC12(iV16562) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l134,plain,
~ cowlNothing(sK18),
inference(instantiation,[status(thm)],[1]) ).
cnf(l142,plain,
cowlThing(sK18),
inference(instantiation,[status(thm)],[0]) ).
cnf(l140,plain,
cowlThing(iV16560),
inference(instantiation,[status(thm)],[0]) ).
cnf(l136,plain,
( ~ cC2xcomp(iV16561)
| ~ cC4xcomp(iV16561)
| cC6(iV16561) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l145,plain,
cC10xcomp(iV16562),
inference(instantiation,[status(thm)],[54]) ).
cnf(l122,plain,
cowlThing(iV16562),
inference(instantiation,[status(thm)],[52]) ).
cnf(l143,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l133,plain,
( ~ cC16(iV16560)
| cC8(iV16560) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l36,plain,
cowlThing(iV16562),
inference(instantiation,[status(thm)],[0]) ).
cnf(l146,plain,
cTEST(iV16560),
inference(instantiation,[status(thm)],[44]) ).
cnf(l147,plain,
( ~ cC18(iV16560)
| cC16(iV16560) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l139,plain,
cC4xcomp(iV16561),
inference(instantiation,[status(thm)],[50]) ).
cnf(l149,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l135,plain,
( ~ cC18(iV16560)
| cC16(iV16560) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l138,plain,
cC2xcomp(iV16562),
inference(instantiation,[status(thm)],[55]) ).
cnf(l160,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l164,plain,
cTEST(iV16560),
inference(instantiation,[status(thm)],[44]) ).
cnf(l130,plain,
( ~ cTEST(iV16560)
| cC18(iV16560) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l131,plain,
cTEST(iV16560),
inference(instantiation,[status(thm)],[44]) ).
cnf(l150,plain,
cC2xcomp(iV16561),
inference(instantiation,[status(thm)],[51]) ).
cnf(l141,plain,
cTEST(iV16560),
inference(instantiation,[status(thm)],[44]) ).
cnf(l163,plain,
cTEST(iV16560),
inference(instantiation,[status(thm)],[44]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l19,l5,l32,l7,l27,l33,l18,l11,l38,l6,l87,l88,l10,l13,l89,l12,l16,l20,l34,l90,l25,l31,l39,l40,l92,l17,l95,l74,l54,l91,l42,l9,l126,l127,l14,l102,l4,l97,l99,l101,l111,l15,l100,l105,l98,l96,l52,l121,l112,l144,l137,l134,l142,l140,l136,l145,l122,l143,l133,l36,l146,l147,l139,l149,l135,l138,l160,l164,l130,l131,l150,l141,l163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS158+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 22:16:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.21/0.35 % launching worker at depth: 11
% 0.21/0.36 % SZS status Theorem for theBenchmark
% 0.21/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------