%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS142+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 : n022.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 0.18s 0.44s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 55 ( 9 unt; 0 def)
% Number of atoms : 148 ( 11 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 166 ( 73 ~; 69 |; 13 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 32 ( 5 sgn 17 !; 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) )
& ! [X] :
( cc(X)
=> ! [Y0,Y1] :
( ( rp(X,Y0)
& rp(X,Y1) )
=> Y0 = Y1 ) ) ),
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) )
& ! [X] :
( cc(X)
=> ? [Y0] : rp(X,Y0) )
& ! [X] :
( cc(X)
=> ! [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)
| sP1 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l0,plain,
( ~ cowlThing(sK2)
| ~ xsd_integer(sK3)
| cowlNothing(sK2)
| xsd_string(sK3)
| sP0(sK1(sK4))
| sP1 ),
inference(instantiation,[status(thm)],[13]) ).
cnf(14,plain,
( ~ cowlThing(sK2)
| ~ xsd_string(sK3)
| cowlNothing(sK2)
| xsd_integer(sK3)
| sP0(X0)
| sP1 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l7,plain,
( ~ cowlThing(sK2)
| ~ xsd_string(sK3)
| cowlNothing(sK2)
| xsd_integer(sK3)
| sP0(sK1(sK4))
| sP1 ),
inference(instantiation,[status(thm)],[14]) ).
cnf(19,plain,
( ~ rp(sK4,X0)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l33,plain,
( ~ rp(sK4,sK1(sK4))
| ~ sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l3,plain,
( ~ cowlThing(sK2)
| ~ xsd_string(sK3)
| cowlNothing(sK2)
| xsd_integer(sK3)
| sP0(sK1(sK4))
| sP1 ),
inference(instantiation,[status(thm)],[14]) ).
fof(axiom_0,plain,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
cnf(7,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l30,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
fof(axiom_2,plain,
! [X] :
( cc(X)
=> ( ? [Y0] : rp(X,Y0)
& ! [Y0,Y1] :
( ( rp(X,Y0)
& rp(X,Y1) )
=> Y0 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(11,plain,
( ~ cc(X0)
| rp(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l42,plain,
( ~ cc(sK4)
| rp(sK4,sK1(sK4)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(8,plain,
~ cowlNothing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l12,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l48,plain,
( ~ rp(sK4,sK1(sK4))
| ~ sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l63,plain,
( ~ cc(sK4)
| rp(sK4,sK1(sK4)) ),
inference(instantiation,[status(thm)],[11]) ).
fof(axiom_1,plain,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
cnf(10,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l8,plain,
( xsd_integer(sK3)
| xsd_string(sK3) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(15,plain,
( sK6 != sK7
| ~ sP1 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l38,plain,
( sK6 != sK7
| ~ sP1 ),
inference(instantiation,[status(thm)],[15]) ).
cnf(18,plain,
( cc(sK5)
| ~ sP1 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l13,plain,
( cc(sK5)
| ~ sP1 ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l1,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l15,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l9,plain,
( ~ xsd_integer(sK3)
| ~ xsd_string(sK3) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(20,plain,
( cc(sK4)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l56,plain,
( cc(sK4)
| ~ sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l4,plain,
( cc(sK4)
| ~ sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l83,plain,
( cc(sK4)
| ~ sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l14,plain,
( ~ cc(sK4)
| rp(sK4,sK1(sK4)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l5,plain,
( sK6 != sK7
| ~ sP1 ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l85,plain,
( ~ rp(sK4,sK1(sK4))
| ~ sP0(sK1(sK4)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l2,plain,
cowlThing(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(12,plain,
( ~ cc(X0)
| ~ rp(X0,X1)
| ~ rp(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l17,plain,
( ~ cc(sK5)
| ~ rp(sK5,sK6)
| ~ rp(sK5,sK7)
| sK6 = sK7 ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l20,plain,
~ cowlNothing(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l19,plain,
( ~ cc(sK5)
| ~ rp(sK5,sK6)
| ~ rp(sK5,sK7)
| sK6 = sK7 ),
inference(instantiation,[status(thm)],[12]) ).
cnf(16,plain,
( rp(sK5,sK7)
| ~ sP1 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l21,plain,
( rp(sK5,sK7)
| ~ sP1 ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l26,plain,
( sK6 != sK7
| ~ sP1 ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l35,plain,
( cc(sK5)
| ~ sP1 ),
inference(instantiation,[status(thm)],[18]) ).
cnf(17,plain,
( rp(sK5,sK6)
| ~ sP1 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l113,plain,
( rp(sK5,sK6)
| ~ sP1 ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l72,plain,
( rp(sK5,sK6)
| ~ sP1 ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l55,plain,
( ~ cc(sK5)
| ~ rp(sK5,sK7)
| ~ rp(sK5,sK6)
| sK7 = sK6 ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l225,plain,
( rp(sK5,sK6)
| ~ sP1 ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l95,plain,
( rp(sK5,sK7)
| ~ sP1 ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l36,plain,
( rp(sK5,sK7)
| ~ sP1 ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l90,plain,
( cc(sK5)
| ~ sP1 ),
inference(instantiation,[status(thm)],[18]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l7,l33,l3,l30,l42,l12,l48,l63,l8,l38,l13,l1,l15,l9,l56,l4,l83,l14,l5,l85,l2,l17,l20,l19,l21,l26,l35,l113,l72,l55,l225,l95,l36,l90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KRS142+1 : TPTP v9.0.0. Released v3.1.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 22:15:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.18/0.44 % SZS status Theorem for theBenchmark
% 0.18/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------