%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS163+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 : n032.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 08:46:47 PM UTC 2025
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 29 unt; 0 def)
% Number of atoms : 121 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 123 ( 56 ~; 48 |; 14 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 20 ( 2 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,plain,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cowlThing(ia)
& cowlThing(ib)
& ia != 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) )
& cowlThing(ia)
& cowlThing(ib)
& ia != ib ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(15,plain,
( ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK2)
| ia = ib
| cowlNothing(sK1)
| xsd_string(sK2) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l0,plain,
( ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK1)
| ~ xsd_integer(sK2)
| ia = ib
| cowlNothing(sK1)
| xsd_string(sK2) ),
inference(instantiation,[status(thm)],[15]) ).
fof(axiom_5,plain,
cowlThing(ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(13,plain,
cowlThing(ib),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l3,plain,
cowlThing(ib),
inference(instantiation,[status(thm)],[13]) ).
cnf(16,plain,
( ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| ia = ib
| cowlNothing(sK1)
| xsd_integer(sK2) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l12,plain,
( ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| ia = ib
| cowlNothing(sK1)
| xsd_integer(sK2) ),
inference(instantiation,[status(thm)],[16]) ).
fof(axiom_0,plain,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
cnf(6,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l2,plain,
cowlThing(ia),
inference(instantiation,[status(thm)],[6]) ).
cnf(l19,plain,
cowlThing(ia),
inference(instantiation,[status(thm)],[6]) ).
cnf(l18,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
~ cowlNothing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l21,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l5,plain,
( ~ cowlThing(ia)
| ~ cowlThing(ib)
| ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| ia = ib
| cowlNothing(sK1)
| xsd_integer(sK2) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l20,plain,
cowlThing(ib),
inference(instantiation,[status(thm)],[13]) ).
fof(axiom_1,plain,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
cnf(8,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l189,plain,
( ~ xsd_integer(sK2)
| ~ xsd_string(sK2) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l4,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[7]) ).
fof(axiom_3,plain,
cowlThing(ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(11,plain,
cowlThing(ia),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l15,plain,
cowlThing(ia),
inference(instantiation,[status(thm)],[11]) ).
cnf(l144,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[6]) ).
fof(axiom_2,plain,
cA(ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(10,plain,
cA(ia),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l193,plain,
cA(ia),
inference(instantiation,[status(thm)],[10]) ).
cnf(l22,plain,
cowlThing(ib),
inference(instantiation,[status(thm)],[13]) ).
fof(axiom_6,plain,
! [X] :
~ ( cB(X)
& cA(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(14,plain,
( ~ cB(X0)
| ~ cA(X0) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l25,plain,
( ~ cB(ib)
| ~ cA(ib) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l137,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[7]) ).
fof(axiom_4,plain,
cB(ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(12,plain,
cB(ib),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l28,plain,
cB(ib),
inference(instantiation,[status(thm)],[12]) ).
cnf(l1,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[6]) ).
fof(cB_substitution_1,plain,
! [A,B] :
( ( A = B
& cB(A) )
=> cB(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cB_substitution_1) ).
cnf(1,plain,
( X0 != X1
| ~ cB(X0)
| cB(X1) ),
inference(cnf,[status(esa)],[cB_substitution_1]) ).
cnf(l7,plain,
( ia != ib
| ~ cB(ia)
| cB(ib) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l41,plain,
( ib != ia
| ~ cB(ib)
| cB(ia) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l58,plain,
( ~ cB(ia)
| ~ cA(ia) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l252,plain,
cA(ia),
inference(instantiation,[status(thm)],[10]) ).
cnf(9,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l140,plain,
( xsd_integer(sK2)
| xsd_string(sK2) ),
inference(instantiation,[status(thm)],[9]) ).
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(l138,plain,
( ia != ib
| ~ cA(ia)
| cA(ib) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l150,plain,
cA(ia),
inference(instantiation,[status(thm)],[10]) ).
cnf(l36,plain,
cB(ib),
inference(instantiation,[status(thm)],[12]) ).
cnf(l143,plain,
( ~ cB(ib)
| ~ cA(ib) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l163,plain,
cB(ib),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l12,l2,l19,l18,l21,l5,l20,l189,l4,l15,l144,l193,l22,l25,l137,l28,l1,l7,l41,l58,l252,l140,l138,l150,l36,l143,l163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : KRS163+1 : TPTP v9.0.0. Released v3.1.0.
% 0.05/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Sun Jul 20 22:16:49 EDT 2025
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % launching worker at depth: 2
% 0.10/0.29 % launching worker at depth: 8
% 0.10/0.29 % launching worker at depth: 1
% 0.10/0.29 % launching worker at depth: 6
% 0.10/0.29 % launching worker at depth: 4
% 0.10/0.29 % launching worker at depth: 7
% 0.10/0.29 % launching worker at depth: 5
% 0.10/0.29 % launching worker at depth: 3
% 0.10/0.30 % launching worker at depth: 9
% 0.10/0.30 % launching worker at depth: 10
% 0.14/0.33 % launching worker at depth: 11
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------