%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS160+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 : n032.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 08:46:47 PM UTC 2025
% Result : Theorem 0.09s 0.30s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 34 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 128 ( 57 ~; 51 |; 15 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,plain,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
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) )
& cowlThing(iV21080)
& cC12(iV21080)
& cC10(iV21081)
& cowlThing(iV21081) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(40,plain,
( ~ cowlThing(iV21081)
| ~ cowlThing(sK14)
| ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ~ xsd_integer(sK15)
| ~ cC12(iV21080)
| cowlNothing(sK14)
| xsd_string(sK15) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l0,plain,
( ~ cowlThing(iV21081)
| ~ cowlThing(sK14)
| ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ~ xsd_integer(sK15)
| ~ cC12(iV21080)
| cowlNothing(sK14)
| xsd_string(sK15) ),
inference(instantiation,[status(thm)],[40]) ).
fof(axiom_15,plain,
cowlThing(iV21080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
cnf(33,plain,
cowlThing(iV21080),
inference(cnf,[status(esa)],[axiom_15]) ).
cnf(l1,plain,
cowlThing(iV21080),
inference(instantiation,[status(thm)],[33]) ).
fof(axiom_21,plain,
cowlThing(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
cnf(39,plain,
cowlThing(iV21081),
inference(cnf,[status(esa)],[axiom_21]) ).
cnf(l2,plain,
cowlThing(iV21081),
inference(instantiation,[status(thm)],[39]) ).
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(l3,plain,
cowlThing(sK14),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
~ cowlNothing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l4,plain,
~ cowlNothing(sK14),
inference(instantiation,[status(thm)],[1]) ).
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(l5,plain,
( xsd_string(sK15)
| xsd_integer(sK15) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(41,plain,
( ~ cowlThing(iV21081)
| ~ cowlThing(sK14)
| ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ~ xsd_string(sK15)
| ~ cC12(iV21080)
| cowlNothing(sK14)
| xsd_integer(sK15) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l6,plain,
( ~ cowlThing(iV21081)
| ~ cowlThing(sK14)
| ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ~ xsd_string(sK15)
| ~ cC12(iV21080)
| cowlNothing(sK14)
| xsd_integer(sK15) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l7,plain,
cowlThing(sK14),
inference(instantiation,[status(thm)],[0]) ).
fof(axiom_2,plain,
! [X] :
( cC10(X)
<=> ( cC4(X)
& cC2(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(6,plain,
( ~ cC4(X0)
| ~ cC2(X0)
| cC10(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l8,plain,
( ~ cC4(iV21081)
| ~ cC2(iV21081)
| cC10(iV21081) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l9,plain,
cowlThing(iV21081),
inference(instantiation,[status(thm)],[39]) ).
fof(axiom_18,plain,
cC4(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
cnf(36,plain,
cC4(iV21081),
inference(cnf,[status(esa)],[axiom_18]) ).
cnf(l10,plain,
cC4(iV21081),
inference(instantiation,[status(thm)],[36]) ).
cnf(l12,plain,
( ~ cC4(iV21081)
| ~ cC2(iV21081)
| cC10(iV21081) ),
inference(instantiation,[status(thm)],[6]) ).
fof(axiom_12,plain,
! [X] :
( cTEST(X)
<=> ( cC8xcomp(X)
& cC12(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
cnf(29,plain,
( ~ cTEST(X0)
| cC12(X0) ),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l17,plain,
( ~ cTEST(iV21080)
| cC12(iV21080) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l14,plain,
cowlThing(iV21080),
inference(instantiation,[status(thm)],[0]) ).
cnf(l15,plain,
~ cowlNothing(sK14),
inference(instantiation,[status(thm)],[1]) ).
fof(axiom_20,plain,
cC2(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
cnf(38,plain,
cC2(iV21081),
inference(cnf,[status(esa)],[axiom_20]) ).
cnf(l11,plain,
cC2(iV21081),
inference(instantiation,[status(thm)],[38]) ).
cnf(l13,plain,
( ~ cTEST(iV21080)
| cC12(iV21080) ),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_13,plain,
cTEST(iV21080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
cnf(31,plain,
cTEST(iV21080),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l27,plain,
cTEST(iV21080),
inference(instantiation,[status(thm)],[31]) ).
cnf(l24,plain,
cC4(iV21081),
inference(instantiation,[status(thm)],[36]) ).
cnf(l26,plain,
cTEST(iV21080),
inference(instantiation,[status(thm)],[31]) ).
cnf(l16,plain,
cC2(iV21081),
inference(instantiation,[status(thm)],[38]) ).
cnf(l18,plain,
( ~ cowlThing(iV21081)
| ~ cowlThing(sK14)
| ~ cowlThing(iV21080)
| ~ cC10(iV21081)
| ~ xsd_string(sK15)
| ~ cC12(iV21080)
| cowlNothing(sK14)
| xsd_integer(sK15) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l23,plain,
~ cowlNothing(sK14),
inference(instantiation,[status(thm)],[1]) ).
cnf(l21,plain,
cowlThing(iV21081),
inference(instantiation,[status(thm)],[39]) ).
cnf(2,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l29,plain,
( ~ xsd_string(sK15)
| ~ xsd_integer(sK15) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l32,plain,
cowlThing(iV21080),
inference(instantiation,[status(thm)],[33]) ).
cnf(l22,plain,
cowlThing(sK14),
inference(instantiation,[status(thm)],[0]) ).
cnf(l19,plain,
( ~ cC4(iV21081)
| ~ cC2(iV21081)
| cC10(iV21081) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l20,plain,
( ~ cTEST(iV21080)
| cC12(iV21080) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l28,plain,
cC2(iV21081),
inference(instantiation,[status(thm)],[38]) ).
cnf(l30,plain,
cTEST(iV21080),
inference(instantiation,[status(thm)],[31]) ).
cnf(l25,plain,
cC4(iV21081),
inference(instantiation,[status(thm)],[36]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l10,l12,l17,l14,l15,l11,l13,l27,l24,l26,l16,l18,l23,l21,l29,l32,l22,l19,l20,l28,l30,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS160+1 : TPTP v9.0.0. Released v3.1.0.
% 0.00/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun Jul 20 22:16:34 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 9
% 0.09/0.30 % launching worker at depth: 10
% 0.09/0.30 % SZS status Theorem for theBenchmark
% 0.09/0.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------