%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUN088+1 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 : Fri Jul 25 12:34:41 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 1 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(zerounidone,plain,
! [Y1] :
( ! [Y2] :
( ~ id(Y2,Y1)
| ~ r1(Y2) )
| ! [Y3] :
( ~ r1(Y3)
| ~ r2(Y3,Y1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerounidone) ).
fof(zerounidone_negated,plain,
~ ! [Y1] :
( ! [Y2] :
( ~ id(Y2,Y1)
| ~ r1(Y2) )
| ! [Y3] :
( ~ r1(Y3)
| ~ r2(Y3,Y1) ) ),
inference(negate_conjecture,[status(cth)],[zerounidone]) ).
cnf(58,plain,
id(sK22,sK21),
inference(cnf,[status(esa)],[zerounidone_negated]) ).
cnf(l0,plain,
id(sK22,sK21),
inference(instantiation,[status(thm)],[58]) ).
fof(axiom_7a,plain,
! [X7,Y10] :
( ! [Y20] :
( ~ id(Y20,Y10)
| ~ r1(Y20) )
| ~ r2(X7,Y10) ),
file('Axioms/NUM009+0.ax',axiom_7a) ).
cnf(57,plain,
( ~ id(X0,X1)
| ~ r1(X0)
| ~ r2(X2,X1) ),
inference(cnf,[status(esa)],[axiom_7a]) ).
cnf(l1,plain,
( ~ id(sK22,sK21)
| ~ r1(sK22)
| ~ r2(sK23,sK21) ),
inference(instantiation,[status(thm)],[57]) ).
cnf(61,plain,
r2(sK23,sK21),
inference(cnf,[status(esa)],[zerounidone_negated]) ).
cnf(l3,plain,
r2(sK23,sK21),
inference(instantiation,[status(thm)],[61]) ).
cnf(59,plain,
r1(sK22),
inference(cnf,[status(esa)],[zerounidone_negated]) ).
cnf(l5,plain,
r1(sK22),
inference(instantiation,[status(thm)],[59]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUN088+1 : TPTP v9.0.0. Released v7.3.0.
% 0.10/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.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 : Mon Jul 21 14:52:34 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------