%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS144+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 : n018.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 2.43s 0.63s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 79 ( 9 unt; 0 def)
% Number of atoms : 231 ( 44 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 272 ( 120 ~; 119 |; 22 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 45 ( 8 sgn 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,plain,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cc(X)
=> ! [Y0,Y1,Y2] :
( ( rp(X,Y0)
& rp(X,Y1)
& rp(X,Y2) )
=> ( Y0 = Y1
| Y0 = Y2
| Y1 = Y2 ) ) )
& ! [X] :
( cc(X)
=> ? [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,Y1,Y2] :
( ( rp(X,Y0)
& rp(X,Y1)
& rp(X,Y2) )
=> ( Y0 = Y1
| Y0 = Y2
| Y1 = Y2 ) ) )
& ! [X] :
( cc(X)
=> ? [Y0,Y1] :
( rp(X,Y0)
& rp(X,Y1)
& Y0 != Y1 ) ) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(15,plain,
( ~ cowlThing(sK3)
| ~ xsd_integer(sK4)
| cowlNothing(sK3)
| xsd_string(sK4)
| sP0
| sP1(X0,X1) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l0,plain,
( ~ cowlThing(sK3)
| ~ xsd_integer(sK4)
| cowlNothing(sK3)
| xsd_string(sK4)
| sP0
| sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[15]) ).
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(l1,plain,
~ cowlNothing(sK3),
inference(instantiation,[status(thm)],[8]) ).
cnf(16,plain,
( ~ cowlThing(sK3)
| ~ xsd_string(sK4)
| cowlNothing(sK3)
| xsd_integer(sK4)
| sP0
| sP1(X0,X1) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l3,plain,
( ~ cowlThing(sK3)
| ~ xsd_string(sK4)
| cowlNothing(sK3)
| xsd_integer(sK4)
| sP0
| sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(18,plain,
( cc(sK9)
| ~ sP1(X0,X1) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l28,plain,
( cc(sK9)
| ~ sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(17,plain,
( ~ rp(sK9,X0)
| ~ rp(sK9,X1)
| X0 = X1
| ~ sP1(X1,X0) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l5,plain,
( ~ rp(sK9,sK1(sK9))
| ~ rp(sK9,sK2(sK9))
| sK1(sK9) = sK2(sK9)
| ~ sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(24,plain,
( rp(sK5,sK6)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l4,plain,
( rp(sK5,sK6)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(7,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l2,plain,
cowlThing(sK3),
inference(instantiation,[status(thm)],[7]) ).
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(l8,plain,
( xsd_integer(sK4)
| xsd_string(sK4) ),
inference(instantiation,[status(thm)],[10]) ).
fof(axiom_2,plain,
! [X] :
( cc(X)
=> ( ? [Y0,Y1] :
( rp(X,Y0)
& rp(X,Y1)
& Y0 != Y1 )
& ! [Y0,Y1,Y2] :
( ( rp(X,Y0)
& rp(X,Y1)
& rp(X,Y2) )
=> ( Y0 = Y1
| Y0 = Y2
| Y1 = Y2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(14,plain,
( ~ cc(X0)
| ~ rp(X0,X1)
| ~ rp(X0,X2)
| ~ rp(X0,X3)
| X1 = X2
| X1 = X3
| X2 = X3 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l14,plain,
( ~ cc(sK5)
| ~ rp(sK5,sK8)
| ~ rp(sK5,sK7)
| ~ rp(sK5,sK6)
| sK8 = sK7
| sK8 = sK6
| sK7 = sK6 ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l7,plain,
( ~ cowlThing(sK3)
| ~ xsd_string(sK4)
| cowlNothing(sK3)
| xsd_integer(sK4)
| sP0
| sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l33,plain,
~ cowlNothing(sK3),
inference(instantiation,[status(thm)],[8]) ).
cnf(11,plain,
( ~ cc(X0)
| rp(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l58,plain,
( ~ cc(sK9)
| rp(sK9,sK1(sK9)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l30,plain,
cowlThing(sK3),
inference(instantiation,[status(thm)],[7]) ).
cnf(l79,plain,
~ cowlNothing(sK3),
inference(instantiation,[status(thm)],[8]) ).
cnf(19,plain,
( sK7 != sK8
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l46,plain,
( sK7 != sK8
| ~ sP0 ),
inference(instantiation,[status(thm)],[19]) ).
cnf(9,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l9,plain,
( ~ xsd_integer(sK4)
| ~ xsd_string(sK4) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(13,plain,
( sK1(X0) != sK2(X0)
| ~ cc(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l266,plain,
( sK1(sK9) != sK2(sK9)
| ~ cc(sK9) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l53,plain,
cowlThing(sK3),
inference(instantiation,[status(thm)],[7]) ).
cnf(12,plain,
( ~ cc(X0)
| rp(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l269,plain,
( ~ cc(sK9)
| rp(sK9,sK2(sK9)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(23,plain,
( rp(sK5,sK7)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l21,plain,
( rp(sK5,sK7)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l41,plain,
( rp(sK5,sK7)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(22,plain,
( rp(sK5,sK8)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l59,plain,
( rp(sK5,sK8)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(20,plain,
( sK6 != sK8
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l170,plain,
( sK6 != sK8
| ~ sP0 ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l270,plain,
( cc(sK9)
| ~ sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l282,plain,
( cc(sK9)
| ~ sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l95,plain,
( sK7 != sK8
| ~ sP0 ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l71,plain,
( cc(sK9)
| ~ sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(25,plain,
( cc(sK5)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l92,plain,
( cc(sK5)
| ~ sP0 ),
inference(instantiation,[status(thm)],[25]) ).
cnf(21,plain,
( sK6 != sK7
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l118,plain,
( sK6 != sK7
| ~ sP0 ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l13,plain,
( ~ rp(sK9,sK1(sK9))
| ~ rp(sK9,sK2(sK9))
| sK1(sK9) = sK2(sK9)
| ~ sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l98,plain,
( ~ cc(sK5)
| ~ rp(sK5,sK6)
| ~ rp(sK5,sK7)
| ~ rp(sK5,sK8)
| sK6 = sK7
| sK6 = sK8
| sK7 = sK8 ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l164,plain,
( sK6 != sK7
| ~ sP0 ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l154,plain,
( rp(sK5,sK8)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l54,plain,
( ~ cc(sK5)
| ~ rp(sK5,sK6)
| ~ rp(sK5,sK7)
| ~ rp(sK5,sK8)
| sK6 = sK7
| sK6 = sK8
| sK7 = sK8 ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l77,plain,
( rp(sK5,sK7)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l128,plain,
( rp(sK5,sK8)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l29,plain,
( ~ cc(sK9)
| rp(sK9,sK2(sK9)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l107,plain,
( cc(sK5)
| ~ sP0 ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l31,plain,
( ~ rp(sK9,sK1(sK9))
| ~ rp(sK9,sK2(sK9))
| sK1(sK9) = sK2(sK9)
| ~ sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l78,plain,
( cc(sK5)
| ~ sP0 ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l40,plain,
( ~ cc(sK9)
| rp(sK9,sK1(sK9)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l113,plain,
( rp(sK5,sK6)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l127,plain,
( sK6 != sK8
| ~ sP0 ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l22,plain,
( ~ cc(sK9)
| rp(sK9,sK1(sK9)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l156,plain,
( sK6 != sK8
| ~ sP0 ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l75,plain,
( cc(sK9)
| ~ sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l126,plain,
( sK6 != sK7
| ~ sP0 ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l109,plain,
( sK1(sK9) != sK2(sK9)
| ~ cc(sK9) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l191,plain,
( sK7 != sK8
| ~ sP0 ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l158,plain,
( rp(sK5,sK6)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l62,plain,
( ~ cc(sK9)
| rp(sK9,sK2(sK9)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l123,plain,
( cc(sK9)
| ~ sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l19,plain,
( sK1(sK9) != sK2(sK9)
| ~ cc(sK9) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l340,plain,
( cc(sK9)
| ~ sP1(sK2(sK9),sK1(sK9)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l28,l5,l4,l2,l8,l14,l7,l33,l58,l30,l79,l46,l9,l266,l53,l269,l21,l41,l59,l170,l270,l282,l95,l71,l92,l118,l13,l98,l164,l154,l54,l77,l128,l29,l107,l31,l78,l40,l113,l127,l22,l156,l75,l126,l109,l191,l158,l62,l123,l19,l340]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS144+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 22:15:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.37 % launching worker at depth: 11
% 2.43/0.63 % SZS status Theorem for theBenchmark
% 2.43/0.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------