%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUN067+2 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 : Fri Jul 25 12:34:38 PM UTC 2025
% Result : Theorem 0.15s 0.31s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 25 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 8 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% Number of variables : 28 ( 6 sgn 7 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(nonzerosexist,plain,
? [Y1] :
! [Y2] :
( ~ r1(Y2)
| Y1 != Y2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerosexist) ).
fof(nonzerosexist_negated,plain,
~ ? [Y1] :
! [Y2] :
( ~ r1(Y2)
| Y1 != Y2 ),
inference(negate_conjecture,[status(cth)],[nonzerosexist]) ).
cnf(39,plain,
r1(sK21(X0)),
inference(cnf,[status(esa)],[nonzerosexist_negated]) ).
cnf(l0,plain,
r1(sK21(sK11(X1_3,X0_3))),
inference(instantiation,[status(thm)],[39]) ).
fof(axiom_7a,plain,
! [X7,Y10] :
( ! [Y20] :
( ~ r1(Y20)
| Y20 != Y10 )
| ~ r2(X7,Y10) ),
file('Axioms/NUM008+0.ax',axiom_7a) ).
cnf(38,plain,
( X0 != X1
| ~ r1(X0)
| ~ r2(X2,X1) ),
inference(cnf,[status(esa)],[axiom_7a]) ).
cnf(l1,plain,
( sK21(sK11(X1_3,X0_3)) != sK11(X1_3,X0_3)
| ~ r1(sK21(sK11(X1_3,X0_3)))
| ~ r2(X0_3,sK11(X1_3,X0_3)) ),
inference(instantiation,[status(thm)],[38]) ).
fof(axiom_2a,plain,
! [X2,X9] :
? [Y2] :
( ? [Y3] :
( ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,Y3) )
& Y3 = Y2 )
& ? [Y6] :
( r3(Y6,X2,Y2)
& r4(X2,X9,Y6) ) ),
file('Axioms/NUM008+0.ax',axiom_2a) ).
cnf(21,plain,
r2(X0,sK11(X1,X0)),
inference(cnf,[status(esa)],[axiom_2a]) ).
cnf(l3,plain,
r2(X0_3,sK11(X1_3,X0_3)),
inference(instantiation,[status(thm)],[21]) ).
cnf(40,plain,
X0 = sK21(X0),
inference(cnf,[status(esa)],[nonzerosexist_negated]) ).
cnf(l9,plain,
sK11(X1_3,X0_3) = sK21(sK11(X1_3,X0_3)),
inference(instantiation,[status(thm)],[40]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : NUN067+2 : TPTP v9.0.0. Released v7.3.0.
% 0.07/0.11 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Jul 21 14:45:04 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % launching worker at depth: 1
% 0.15/0.31 % launching worker at depth: 6
% 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: 2
% 0.15/0.31 % launching worker at depth: 7
% 0.15/0.31 % launching worker at depth: 5
% 0.15/0.31 % launching worker at depth: 8
% 0.15/0.31 % launching worker at depth: 9
% 0.15/0.31 % SZS status Theorem for theBenchmark
% 0.15/0.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------