%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS175+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 : n025.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 08:46:48 PM UTC 2025
% Result : Theorem 9.74s 1.60s
% Output : CNFRefutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 87 ( 17 unt; 0 def)
% Number of atoms : 231 ( 52 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 265 ( 121 ~; 121 |; 13 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 30 ( 2 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,plain,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cA_and_B(X)
<=> ( X = ib
| X = ia ) )
& cowlThing(ia)
& cowlThing(ib) ),
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] :
( cA_and_B(X)
<=> ( X = ib
| X = ia ) )
& cowlThing(ia)
& cowlThing(ib) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(20,plain,
( ~ cowlThing(sK1)
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| xsd_string(sK2)
| sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l0,plain,
( ~ cowlThing(sK1)
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| xsd_string(sK2)
| sP0 ),
inference(instantiation,[status(thm)],[20]) ).
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(sK1),
inference(instantiation,[status(thm)],[8]) ).
cnf(24,plain,
( sK3 = ib
| sK3 = ia
| cA_and_B(sK3)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l10,plain,
( sK3 = ib
| sK3 = ia
| cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
fof(axiom_4,plain,
! [X] :
( cB(X)
<=> X = ib ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(17,plain,
( X0 != ib
| cB(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l11,plain,
( sK3 != ib
| cB(sK3) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(7,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l2,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[7]) ).
fof(axiom_3,plain,
! [X] :
( cA_and_B(X)
<=> ( cA(X)
| cB(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(15,plain,
( ~ cB(X0)
| cA_and_B(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l240,plain,
( ~ cB(sK3)
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(23,plain,
( sK3 != ib
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l299,plain,
( sK3 != ib
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l1,plain,
cowlThing(ia),
inference(instantiation,[status(thm)],[7]) ).
cnf(21,plain,
( ~ cowlThing(sK1)
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_string(sK2)
| cowlNothing(sK1)
| xsd_integer(sK2)
| sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l4,plain,
( ~ cowlThing(sK1)
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_string(sK2)
| cowlNothing(sK1)
| xsd_integer(sK2)
| sP0 ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l358,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[8]) ).
cnf(l345,plain,
cowlThing(ib),
inference(instantiation,[status(thm)],[7]) ).
cnf(l8,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l351,plain,
( sK3 = ib
| sK3 = ia
| cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l5,plain,
( ~ cowlThing(sK1)
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ~ xsd_string(sK2)
| cowlNothing(sK1)
| xsd_integer(sK2)
| sP0 ),
inference(instantiation,[status(thm)],[21]) ).
fof(cA_substitution_1,plain,
! [A,B] :
( ( A = B
& cA(A) )
=> cA(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cA_substitution_1) ).
cnf(0,plain,
( X0 != X1
| ~ cA(X0)
| cA(X1) ),
inference(cnf,[status(esa)],[cA_substitution_1]) ).
cnf(l19,plain,
( sK3 != ia
| ~ cA(sK3)
| cA(ia) ),
inference(instantiation,[status(thm)],[0]) ).
fof(axiom_5,plain,
cowlThing(ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(18,plain,
cowlThing(ia),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l607,plain,
cowlThing(ia),
inference(instantiation,[status(thm)],[18]) ).
cnf(l271,plain,
( ia != sK3
| ~ cA(ia)
| cA(sK3) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l18,plain,
cowlThing(ib),
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(l615,plain,
( xsd_integer(sK2)
| xsd_string(sK2) ),
inference(instantiation,[status(thm)],[10]) ).
fof(axiom_2,plain,
! [X] :
( cA(X)
<=> X = ia ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(12,plain,
( X0 != ia
| cA(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l152,plain,
( sK3 != ia
| cA(sK3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l9,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l612,plain,
( sK3 = ib
| sK3 = ia
| cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l3,plain,
cowlThing(ib),
inference(instantiation,[status(thm)],[7]) ).
cnf(l618,plain,
( sK3 != ia
| cA(sK3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(14,plain,
( ~ cA(X0)
| cA_and_B(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l706,plain,
( ~ cA(sK3)
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(13,plain,
( ~ cA_and_B(X0)
| cA(X0)
| cB(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l269,plain,
( ~ cA_and_B(sK3)
| cA(sK3)
| cB(sK3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(9,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l346,plain,
( ~ xsd_integer(sK2)
| ~ xsd_string(sK2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l276,plain,
( ~ cA(sK3)
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l397,plain,
( ~ cA_and_B(sK3)
| cA(sK3)
| cB(sK3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(22,plain,
( sK3 != ia
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l770,plain,
( sK3 != ia
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(16,plain,
( ~ cB(X0)
| X0 = ib ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l274,plain,
( ~ cB(sK3)
| sK3 = ib ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l729,plain,
( sK3 != ia
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(11,plain,
( ~ cA(X0)
| X0 = ia ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l790,plain,
( ~ cA(sK3)
| sK3 = ia ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l791,plain,
( sK3 != ia
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l308,plain,
( ~ cA(sK3)
| sK3 = ia ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l611,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[8]) ).
cnf(l6,plain,
cowlThing(ia),
inference(instantiation,[status(thm)],[7]) ).
cnf(l726,plain,
( ~ cA_and_B(sK3)
| cA(sK3)
| cB(sK3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l1073,plain,
( ~ cA(sK3)
| sK3 = ia ),
inference(instantiation,[status(thm)],[11]) ).
fof(cA_and_B_substitution_1,plain,
! [A,B] :
( ( A = B
& cA_and_B(A) )
=> cA_and_B(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cA_and_B_substitution_1) ).
cnf(1,plain,
( X0 != X1
| ~ cA_and_B(X0)
| cA_and_B(X1) ),
inference(cnf,[status(esa)],[cA_and_B_substitution_1]) ).
cnf(l676,plain,
( sK3 != ib
| ~ cA_and_B(sK3)
| cA_and_B(ib) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l354,plain,
( sK3 != ia
| cA(sK3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l391,plain,
( ~ cA(sK3)
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l707,plain,
( ~ cB(sK3)
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l580,plain,
( sK3 != ib
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l564,plain,
( ~ cB(sK3)
| sK3 = ib ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l1030,plain,
( sK3 != ib
| cB(sK3) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l393,plain,
( sK3 != ia
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l1032,plain,
( ~ cB(sK3)
| sK3 = ib ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l1103,plain,
( sK3 != ia
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l695,plain,
( ib != sK3
| ~ cA_and_B(ib)
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l386,plain,
( sK3 != ib
| cB(sK3) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l901,plain,
( sK3 != ia
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l387,plain,
( ~ cB(sK3)
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l794,plain,
( sK3 != ib
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l1099,plain,
( sK3 != ib
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l730,plain,
( sK3 != ib
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l389,plain,
( sK3 != ib
| ~ cA_and_B(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l7,l10,l11,l2,l240,l299,l1,l4,l358,l345,l8,l351,l5,l19,l607,l271,l18,l615,l152,l9,l612,l3,l618,l706,l269,l346,l276,l397,l770,l274,l729,l790,l791,l308,l611,l6,l726,l1073,l676,l354,l391,l707,l580,l564,l1030,l393,l1032,l1103,l695,l386,l901,l387,l794,l1099,l730,l389]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS175+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 22:17:49 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 5
% 0.20/0.36 % launching worker at depth: 9
% 0.20/0.36 % launching worker at depth: 10
% 0.20/0.37 % launching worker at depth: 11
% 2.40/0.64 % launching worker at depth: 12
% 9.74/1.60 % SZS status Theorem for theBenchmark
% 9.74/1.60 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------