%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS152+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 63 ( 37 unt; 0 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 141 ( 64 ~; 55 |; 16 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 16 ( 2 sgn 9 !; 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/sandbox2/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(28,plain,
( ~ cowlThing(iV21080)
| ~ cowlThing(iV21081)
| ~ cowlThing(sK5)
| ~ cC10(iV21081)
| ~ xsd_integer(sK6)
| ~ cC12(iV21080)
| cowlNothing(sK5)
| xsd_string(sK6) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
% launching worker at depth: 10
cnf(l0,plain,
( ~ cowlThing(iV21080)
| ~ cowlThing(iV21081)
| ~ cowlThing(sK5)
| ~ cC10(iV21081)
| ~ xsd_integer(sK6)
| ~ cC12(iV21080)
| cowlNothing(sK5)
| xsd_string(sK6) ),
inference(instantiation,[status(thm)],[28]) ).
fof(axiom_0,plain,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
cnf(0,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l1,plain,
cowlThing(sK5),
inference(instantiation,[status(thm)],[0]) ).
fof(axiom_8,plain,
cowlThing(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(20,plain,
cowlThing(iV21080),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l2,plain,
cowlThing(iV21080),
inference(instantiation,[status(thm)],[20]) ).
fof(axiom_13,plain,
cowlThing(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
cnf(25,plain,
cowlThing(iV21081),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l3,plain,
cowlThing(iV21081),
inference(instantiation,[status(thm)],[25]) ).
cnf(1,plain,
~ cowlNothing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l4,plain,
~ cowlNothing(sK5),
inference(instantiation,[status(thm)],[1]) ).
cnf(29,plain,
( ~ cowlThing(iV21080)
| ~ cowlThing(iV21081)
| ~ cowlThing(sK5)
| ~ cC10(iV21081)
| ~ xsd_string(sK6)
| ~ cC12(iV21080)
| cowlNothing(sK5)
| xsd_integer(sK6) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l5,plain,
( ~ cowlThing(iV21080)
| ~ cowlThing(iV21081)
| ~ cowlThing(sK5)
| ~ cC10(iV21081)
| ~ xsd_string(sK6)
| ~ cC12(iV21080)
| cowlNothing(sK5)
| xsd_integer(sK6) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l32,plain,
~ cowlNothing(sK5),
inference(instantiation,[status(thm)],[1]) ).
cnf(l34,plain,
cowlThing(sK5),
inference(instantiation,[status(thm)],[0]) ).
cnf(l35,plain,
cowlThing(iV21081),
inference(instantiation,[status(thm)],[0]) ).
cnf(l18,plain,
cowlThing(iV21080),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
( ~ cowlThing(iV21080)
| ~ cowlThing(iV21081)
| ~ cowlThing(sK5)
| ~ cC10(iV21081)
| ~ xsd_string(sK6)
| ~ cC12(iV21080)
| cowlNothing(sK5)
| xsd_integer(sK6) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l9,plain,
cowlThing(iV21080),
inference(instantiation,[status(thm)],[20]) ).
fof(axiom_6,plain,
! [X] :
( cTEST(X)
<=> ( cC12(X)
& ~ cC8(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(16,plain,
( ~ cTEST(X0)
| cC12(X0) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l17,plain,
( ~ cTEST(iV21080)
| cC12(iV21080) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l13,plain,
( ~ cTEST(iV21080)
| cC12(iV21080) ),
inference(instantiation,[status(thm)],[16]) ).
fof(axiom_2,plain,
! [X] :
( cC10(X)
<=> ( cC2(X)
& cC4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(6,plain,
( ~ cC2(X0)
| ~ cC4(X0)
| cC10(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l37,plain,
( ~ cC2(iV21081)
| ~ cC4(iV21081)
| cC10(iV21081) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l36,plain,
( ~ cTEST(iV21080)
| cC12(iV21080) ),
inference(instantiation,[status(thm)],[16]) ).
fof(axiom_7,plain,
cTEST(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(19,plain,
cTEST(iV21080),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l38,plain,
cTEST(iV21080),
inference(instantiation,[status(thm)],[19]) ).
cnf(l8,plain,
( ~ cC2(iV21081)
| ~ cC4(iV21081)
| cC10(iV21081) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l7,plain,
cowlThing(iV21081),
inference(instantiation,[status(thm)],[25]) ).
cnf(l12,plain,
( ~ cC2(iV21081)
| ~ cC4(iV21081)
| cC10(iV21081) ),
inference(instantiation,[status(thm)],[6]) ).
fof(axiom_15,plain,
cC4(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
cnf(27,plain,
cC4(iV21081),
inference(cnf,[status(esa)],[axiom_15]) ).
cnf(l11,plain,
cC4(iV21081),
inference(instantiation,[status(thm)],[27]) ).
cnf(l31,plain,
cTEST(iV21080),
inference(instantiation,[status(thm)],[19]) ).
fof(axiom_4,plain,
! [X] :
( cC6(X)
<=> ( ~ cC2(X)
& cC4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(12,plain,
( ~ cC4(X0)
| cC2(X0)
| cC6(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l10,plain,
( ~ cC4(iV21081)
| cC2(iV21081)
| cC6(iV21081) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l16,plain,
cC4(iV21081),
inference(instantiation,[status(thm)],[27]) ).
cnf(l15,plain,
~ cowlNothing(sK5),
inference(instantiation,[status(thm)],[1]) ).
fof(axiom_14,plain,
cC2(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
cnf(26,plain,
cC2(iV21081),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l24,plain,
cC2(iV21081),
inference(instantiation,[status(thm)],[26]) ).
cnf(l25,plain,
cTEST(iV21080),
inference(instantiation,[status(thm)],[19]) ).
cnf(l43,plain,
cC4(iV21081),
inference(instantiation,[status(thm)],[27]) ).
cnf(l39,plain,
cC2(iV21081),
inference(instantiation,[status(thm)],[26]) ).
fof(axiom_1,plain,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
cnf(2,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l26,plain,
( ~ xsd_string(sK6)
| ~ xsd_integer(sK6) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l42,plain,
cC4(iV21081),
inference(instantiation,[status(thm)],[27]) ).
cnf(3,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l33,plain,
( xsd_string(sK6)
| xsd_integer(sK6) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l14,plain,
cowlThing(sK5),
inference(instantiation,[status(thm)],[0]) ).
fof(axiom_12,plain,
~ cC6(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
cnf(24,plain,
~ cC6(iV21081),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l44,plain,
~ cC6(iV21081),
inference(instantiation,[status(thm)],[24]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l32,l34,l35,l18,l6,l9,l17,l13,l37,l36,l38,l8,l7,l12,l11,l31,l10,l16,l15,l24,l25,l43,l39,l26,l42,l33,l14,l44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : KRS152+1 : TPTP v9.0.0. Released v3.1.0.
% 0.09/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 22:16:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------