%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS143+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 : n024.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 08:46:45 PM UTC 2025
% Result : Theorem 3.42s 0.74s
% Output : CNFRefutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 98 ( 31 unt; 0 def)
% Number of atoms : 254 ( 14 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 280 ( 124 ~; 132 |; 13 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 39 ( 5 sgn 19 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,plain,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cc(X)
=> ( ? [Y0] : rp(X,Y0)
& ! [Y0,Y1] :
( ( rp(X,Y0)
& rp(X,Y1) )
=> Y0 = Y1 ) ) ) ),
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) )
& ! [X] :
( cc(X)
=> ( ? [Y0] : rp(X,Y0)
& ! [Y0,Y1] :
( ( rp(X,Y0)
& rp(X,Y1) )
=> Y0 = Y1 ) ) ) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(13,plain,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK3)
| cowlNothing(sK2)
| xsd_string(sK3)
| sP0(X0) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l0,plain,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK3)
| cowlNothing(sK2)
| xsd_string(sK3)
| sP0(sK6) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(17,plain,
( ~ rp(sK4,X0)
| rp(sK4,sK5)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l3,plain,
( ~ rp(sK4,sK6)
| rp(sK4,sK5)
| ~ sP0(sK6) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(14,plain,
( ~ cowlThing(sK2)
| ~ xsd_string(sK3)
| cowlNothing(sK2)
| xsd_integer(sK3)
| sP0(X0) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l1,plain,
( ~ cowlThing(sK2)
| ~ xsd_string(sK3)
| cowlNothing(sK2)
| xsd_integer(sK3)
| sP0(sK5) ),
inference(instantiation,[status(thm)],[14]) ).
fof(axiom_0,plain,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
cnf(8,plain,
~ cowlNothing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l7,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
fof(axiom_1,plain,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
cnf(10,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l4,plain,
( xsd_integer(sK3)
| xsd_string(sK3) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(7,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l369,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(16,plain,
( ~ rp(sK4,X0)
| rp(sK4,sK6)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l452,plain,
( ~ rp(sK4,sK5)
| rp(sK4,sK6)
| ~ sP0(sK5) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(15,plain,
( sK5 != sK6
| ~ rp(sK4,X0)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l5,plain,
( sK5 != sK6
| ~ rp(sK4,sK5)
| ~ sP0(sK5) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l14,plain,
( ~ rp(sK4,sK1(sK4))
| rp(sK4,sK6)
| ~ sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[16]) ).
fof(axiom_3,plain,
! [X] :
( cc(X)
=> ! [Y0,Y1] :
( ( rp(X,Y0)
& rp(X,Y1) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(12,plain,
( ~ cc(X0)
| ~ rp(X0,X1)
| ~ rp(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l9,plain,
( ~ cc(sK4)
| ~ rp(sK4,sK5)
| ~ rp(sK4,sK6)
| sK5 = sK6 ),
inference(instantiation,[status(thm)],[12]) ).
fof(axiom_2,plain,
! [X] :
( cc(X)
=> ? [Y0] : rp(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(11,plain,
( ~ cc(X0)
| rp(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l29,plain,
( ~ cc(sK4)
| rp(sK4,sK1(sK4)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l55,plain,
( ~ cowlThing(sK2)
| ~ xsd_string(sK3)
| cowlNothing(sK2)
| xsd_integer(sK3)
| sP0(sK5) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(18,plain,
( cc(sK4)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l19,plain,
( cc(sK4)
| ~ sP0(sK6) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l118,plain,
( xsd_integer(sK3)
| xsd_string(sK3) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l212,plain,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK3)
| cowlNothing(sK2)
| xsd_string(sK3)
| sP0(sK5) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l107,plain,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK3)
| cowlNothing(sK2)
| xsd_string(sK3)
| sP0(sK5) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l164,plain,
( ~ cowlThing(sK2)
| ~ xsd_string(sK3)
| cowlNothing(sK2)
| xsd_integer(sK3)
| sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l223,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l299,plain,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK3)
| cowlNothing(sK2)
| xsd_string(sK3)
| sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l645,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l458,plain,
( ~ cc(sK4)
| ~ rp(sK4,sK6)
| ~ rp(sK4,sK5)
| sK6 = sK5 ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l472,plain,
( ~ rp(sK4,sK1(sK4))
| rp(sK4,sK5)
| ~ sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l306,plain,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK3)
| cowlNothing(sK2)
| xsd_string(sK3)
| sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l327,plain,
( xsd_integer(sK3)
| xsd_string(sK3) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l329,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l66,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l467,plain,
( cc(sK4)
| ~ sP0(sK5) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l62,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l13,plain,
( ~ rp(sK4,sK5)
| rp(sK4,sK6)
| ~ sP0(sK5) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l330,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l305,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l2,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l479,plain,
( ~ cowlThing(sK2)
| ~ xsd_string(sK3)
| cowlNothing(sK2)
| xsd_integer(sK3)
| sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(9,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l255,plain,
( ~ xsd_integer(sK3)
| ~ xsd_string(sK3) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l530,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l646,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l153,plain,
( ~ cowlThing(sK2)
| ~ xsd_string(sK3)
| cowlNothing(sK2)
| xsd_integer(sK3)
| sP0(sK5) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l10,plain,
( ~ cowlThing(sK2)
| ~ xsd_string(sK3)
| cowlNothing(sK2)
| xsd_integer(sK3)
| sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l227,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l449,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l536,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l480,plain,
( ~ cc(sK4)
| rp(sK4,sK1(sK4)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l593,plain,
( ~ xsd_integer(sK3)
| ~ xsd_string(sK3) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l537,plain,
( xsd_integer(sK3)
| xsd_string(sK3) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l525,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l474,plain,
( ~ rp(sK4,sK6)
| rp(sK4,sK5)
| ~ sP0(sK6) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l533,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l11,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l534,plain,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK3)
| cowlNothing(sK2)
| xsd_string(sK3)
| sP0(sK5) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l642,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l482,plain,
( cc(sK4)
| ~ sP0(sK5) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l276,plain,
( ~ xsd_integer(sK3)
| ~ xsd_string(sK3) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l523,plain,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK3)
| cowlNothing(sK2)
| xsd_string(sK3)
| sP0(sK5) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l647,plain,
( xsd_integer(sK3)
| xsd_string(sK3) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l524,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l280,plain,
( cc(sK4)
| ~ sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l532,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l517,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l294,plain,
( ~ cc(sK4)
| ~ rp(sK4,sK5)
| ~ rp(sK4,sK6)
| sK5 = sK6 ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l526,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l644,plain,
( ~ xsd_integer(sK3)
| ~ xsd_string(sK3) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l641,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l478,plain,
( ~ cowlThing(sK2)
| ~ xsd_string(sK3)
| cowlNothing(sK2)
| xsd_integer(sK3)
| sP0(sK6) ),
inference(instantiation,[status(thm)],[14]) ).
fof(rp_substitution_2,plain,
! [A,B,C] :
( ( A = B
& rp(C,A) )
=> rp(C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rp_substitution_2) ).
cnf(4,plain,
( X0 != X1
| ~ rp(X2,X0)
| rp(X2,X1) ),
inference(cnf,[status(esa)],[rp_substitution_2]) ).
cnf(l469,plain,
( sK6 != sK5
| ~ rp(sK4,sK6)
| rp(sK4,sK5) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l617,plain,
( xsd_integer(sK3)
| xsd_string(sK3) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l616,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l488,plain,
( ~ rp(sK4,sK1(sK4))
| rp(sK4,sK6)
| ~ sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l303,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l559,plain,
( ~ cc(sK4)
| rp(sK4,sK1(sK4)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l51,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l32,plain,
( cc(sK4)
| ~ sP0(sK6) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l490,plain,
( ~ rp(sK4,sK1(sK4))
| rp(sK4,sK5)
| ~ sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l618,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l507,plain,
( sK5 != sK6
| ~ rp(sK4,sK5)
| ~ sP0(sK5) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l663,plain,
( sK5 != sK6
| ~ rp(sK4,sK1(sK4))
| ~ sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l665,plain,
( ~ cc(sK4)
| rp(sK4,sK1(sK4)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l555,plain,
( ~ cc(sK4)
| rp(sK4,sK1(sK4)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l1,l7,l4,l369,l452,l5,l14,l9,l29,l55,l19,l118,l212,l107,l164,l223,l299,l645,l458,l472,l306,l327,l329,l66,l467,l62,l13,l330,l305,l2,l479,l255,l530,l646,l153,l10,l227,l449,l536,l480,l593,l537,l525,l474,l533,l11,l534,l642,l482,l276,l523,l647,l524,l280,l532,l517,l294,l526,l644,l641,l478,l469,l617,l616,l488,l303,l559,l51,l32,l490,l618,l507,l663,l665,l555]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : KRS143+1 : TPTP v9.0.0. Released v3.1.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28 % Computer : n024.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sun Jul 20 22:15:34 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % launching worker at depth: 9
% 0.08/0.30 % launching worker at depth: 10
% 0.13/0.31 % launching worker at depth: 11
% 0.13/0.40 % launching worker at depth: 12
% 3.42/0.74 % SZS status Theorem for theBenchmark
% 3.42/0.74 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------