%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS171+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 08:46:48 PM UTC 2025
% Result : Theorem 0.15s 0.31s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 9 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 122 ( 54 ~; 54 |; 7 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 22 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,plain,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X,Y] :
( rhasLeader(X,Y)
<=> rhasHead(X,Y) ) ),
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,Y] :
( rhasLeader(X,Y)
<=> rhasHead(X,Y) ) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(6,plain,
( ~ cowlThing(sK1)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| xsd_string(sK2)
| sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l0,plain,
( ~ cowlThing(sK1)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| xsd_string(sK2)
| sP0 ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
( ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| cowlNothing(sK1)
| xsd_integer(sK2)
| sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l1,plain,
( ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| cowlNothing(sK1)
| xsd_integer(sK2)
| sP0 ),
inference(instantiation,[status(thm)],[7]) ).
fof(axiom_0,plain,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
cnf(0,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l2,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(9,plain,
( rhasLeader(sK3,sK4)
| rhasHead(sK3,sK4)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l5,plain,
( rhasLeader(sK3,sK4)
| rhasHead(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(1,plain,
~ cowlNothing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l13,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[1]) ).
fof(axiom_1,plain,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
cnf(3,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l3,plain,
( xsd_string(sK2)
| xsd_integer(sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(8,plain,
( ~ rhasLeader(sK3,sK4)
| ~ rhasHead(sK3,sK4)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l12,plain,
( ~ rhasLeader(sK3,sK4)
| ~ rhasHead(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l9,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
( ~ rhasLeader(sK3,sK4)
| ~ rhasHead(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[8]) ).
fof(axiom_2,plain,
! [X,Y] :
( rhasHead(X,Y)
=> rhasLeader(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(4,plain,
( ~ rhasHead(X0,X1)
| rhasLeader(X0,X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l15,plain,
( ~ rhasHead(sK3,sK4)
| rhasLeader(sK3,sK4) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l11,plain,
( ~ rhasLeader(sK3,sK4)
| ~ rhasHead(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[8]) ).
fof(axiom_3,plain,
! [X,Y] :
( rhasLeader(X,Y)
=> rhasHead(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(5,plain,
( ~ rhasLeader(X0,X1)
| rhasHead(X0,X1) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l16,plain,
( ~ rhasLeader(sK3,sK4)
| rhasHead(sK3,sK4) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l17,plain,
( ~ rhasHead(sK3,sK4)
| rhasLeader(sK3,sK4) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l18,plain,
( ~ rhasLeader(sK3,sK4)
| rhasHead(sK3,sK4) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l4,plain,
( ~ xsd_string(sK2)
| ~ xsd_integer(sK2) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l19,plain,
( rhasLeader(sK3,sK4)
| rhasHead(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l20,plain,
( ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| cowlNothing(sK1)
| xsd_integer(sK2)
| sP0 ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l22,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l21,plain,
( rhasLeader(sK3,sK4)
| rhasHead(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l24,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l23,plain,
( ~ rhasLeader(sK3,sK4)
| ~ rhasHead(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l26,plain,
( rhasLeader(sK3,sK4)
| rhasHead(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l27,plain,
( ~ rhasLeader(sK3,sK4)
| rhasHead(sK3,sK4) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l25,plain,
( rhasLeader(sK3,sK4)
| rhasHead(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l28,plain,
( ~ rhasHead(sK3,sK4)
| rhasLeader(sK3,sK4) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7,l5,l13,l3,l12,l9,l14,l15,l11,l16,l17,l18,l4,l19,l20,l22,l21,l24,l23,l26,l27,l25,l28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : KRS171+1 : TPTP v9.0.0. Released v3.1.0.
% 0.10/0.11 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun Jul 20 22:17:33 EDT 2025
% 0.15/0.31 % CPUTime :
% 0.15/0.31 % launching worker at depth: 1
% 0.15/0.31 % launching worker at depth: 2
% 0.15/0.31 % launching worker at depth: 3
% 0.15/0.31 % launching worker at depth: 4
% 0.15/0.31 % launching worker at depth: 5
% 0.15/0.31 % launching worker at depth: 6
% 0.15/0.31 % launching worker at depth: 7
% 0.15/0.31 % launching worker at depth: 8
% 0.15/0.31 % SZS status Theorem for theBenchmark
% 0.15/0.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------