%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUN067+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 : n028.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 12:34:37 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 11 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% Number of variables : 34 ( 6 sgn 9 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(nonzerosexistid,plain,
? [Y1] :
! [Y2] :
( ~ id(Y1,Y2)
| ~ r1(Y2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerosexistid) ).
fof(nonzerosexistid_negated,plain,
~ ? [Y1] :
! [Y2] :
( ~ id(Y1,Y2)
| ~ r1(Y2) ),
inference(negate_conjecture,[status(cth)],[nonzerosexistid]) ).
cnf(58,plain,
id(X0,sK21(X0)),
inference(cnf,[status(esa)],[nonzerosexistid_negated]) ).
cnf(l0,plain,
id(sK7(X1_9,X0_9),sK21(sK7(X1_9,X0_9))),
inference(instantiation,[status(thm)],[58]) ).
fof(axiom_6,plain,
! [X21,X22] :
( ~ id(X21,X22)
| id(X22,X21) ),
file('Axioms/NUM009+0.ax',axiom_6) ).
cnf(17,plain,
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l1,plain,
( ~ id(sK7(X1_9,X0_9),sK21(sK7(X1_9,X0_9)))
| id(sK21(sK7(X1_9,X0_9)),sK7(X1_9,X0_9)) ),
inference(instantiation,[status(thm)],[17]) ).
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(l6,plain,
( ~ id(sK21(sK7(X1_9,X0_9)),sK7(X1_9,X0_9))
| ~ r1(sK21(sK7(X1_9,X0_9)))
| ~ r2(X0_9,sK7(X1_9,X0_9)) ),
inference(instantiation,[status(thm)],[57]) ).
fof(axiom_1a,plain,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( id(Y5,Y4)
& ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) ) )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
file('Axioms/NUM009+0.ax',axiom_1a) ).
cnf(36,plain,
r2(X0,sK7(X1,X0)),
inference(cnf,[status(esa)],[axiom_1a]) ).
cnf(l9,plain,
r2(X0_9,sK7(X1_9,X0_9)),
inference(instantiation,[status(thm)],[36]) ).
cnf(59,plain,
r1(sK21(X0)),
inference(cnf,[status(esa)],[nonzerosexistid_negated]) ).
cnf(l10,plain,
r1(sK21(sK7(X1_9,X0_9))),
inference(instantiation,[status(thm)],[59]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l9,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUN067+1 : TPTP v9.0.0. Released v7.3.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 14:45:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------