%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUN060+1 : 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 : n029.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 12:34:36 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 49 ( 15 ~; 12 |; 22 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 81 ( 10 sgn 6 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(greq4id,plain,
? [Y1,Y2,Y3] :
( id(Y3,Y1)
& ? [Y4] :
( r3(Y2,Y4,Y3)
& ? [Y5] :
( r2(Y5,Y4)
& ? [Y6] :
( r2(Y6,Y5)
& ? [Y7] :
( r2(Y7,Y6)
& ? [Y8] :
( r1(Y8)
& r2(Y8,Y7) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greq4id) ).
fof(greq4id_negated,plain,
~ ? [Y1,Y2,Y3] :
( id(Y3,Y1)
& ? [Y4] :
( r3(Y2,Y4,Y3)
& ? [Y5] :
( r2(Y5,Y4)
& ? [Y6] :
( r2(Y6,Y5)
& ? [Y7] :
( r2(Y7,Y6)
& ? [Y8] :
( r1(Y8)
& r2(Y8,Y7) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[greq4id]) ).
cnf(58,plain,
( ~ id(X0,X1)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r2(X5,X3)
| ~ r2(X6,X5)
| ~ r2(X2,X6)
| ~ r3(X7,X4,X0) ),
inference(cnf,[status(esa)],[greq4id_negated]) ).
cnf(l0,plain,
( ~ id(sK8(X0_3,sK7(X1_1,sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5)))))),sK8(X0_3,sK7(X1_1,sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5)))))))
| ~ r1(sK14(X0_5))
| ~ r2(sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5)))),sK7(X1_1,sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5))))))
| ~ r2(sK7(X1_4,sK11(X1_7,sK14(X0_5))),sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5)))))
| ~ r2(sK11(X1_7,sK14(X0_5)),sK7(X1_4,sK11(X1_7,sK14(X0_5))))
| ~ r2(sK14(X0_5),sK11(X1_7,sK14(X0_5)))
| ~ r3(X0_3,sK7(X1_1,sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5))))),sK8(X0_3,sK7(X1_1,sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5))))))) ),
inference(instantiation,[status(thm)],[58]) ).
fof(axiom_2a,plain,
! [X2,X9] :
? [Y2] :
( ? [Y3] :
( id(Y3,Y2)
& ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,Y3) ) )
& ? [Y6] :
( r3(Y6,X2,Y2)
& r4(X2,X9,Y6) ) ),
file('Axioms/NUM009+0.ax',axiom_2a) ).
cnf(41,plain,
r2(X0,sK11(X1,X0)),
inference(cnf,[status(esa)],[axiom_2a]) ).
cnf(l6,plain,
r2(sK7(X1_4,sK11(X1_7,sK14(X0_5))),sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5))))),
inference(instantiation,[status(thm)],[41]) ).
fof(axiom_4a,plain,
! [X4] :
? [Y9] :
( id(Y9,X4)
& ? [Y16] :
( r1(Y16)
& r3(X4,Y16,Y9) ) ),
file('Axioms/NUM009+0.ax',axiom_4a) ).
cnf(47,plain,
r1(sK14(X0)),
inference(cnf,[status(esa)],[axiom_4a]) ).
cnf(l5,plain,
r1(sK14(X0_5)),
inference(instantiation,[status(thm)],[47]) ).
cnf(l7,plain,
r2(sK14(X0_5),sK11(X1_7,sK14(X0_5))),
inference(instantiation,[status(thm)],[41]) ).
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(l4,plain,
r2(sK11(X1_7,sK14(X0_5)),sK7(X1_4,sK11(X1_7,sK14(X0_5)))),
inference(instantiation,[status(thm)],[36]) ).
cnf(39,plain,
r3(X0,X1,sK8(X0,X1)),
inference(cnf,[status(esa)],[axiom_1a]) ).
cnf(l3,plain,
r3(X0_3,sK7(X1_1,sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5))))),sK8(X0_3,sK7(X1_1,sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5))))))),
inference(instantiation,[status(thm)],[39]) ).
cnf(l1,plain,
r2(sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5)))),sK7(X1_1,sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5)))))),
inference(instantiation,[status(thm)],[36]) ).
fof(axiom_5,plain,
! [X20] : id(X20,X20),
file('Axioms/NUM009+0.ax',axiom_5) ).
cnf(16,plain,
id(X0,X0),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l2,plain,
id(sK8(X0_3,sK7(X1_1,sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5)))))),sK8(X0_3,sK7(X1_1,sK11(X1_6,sK7(X1_4,sK11(X1_7,sK14(X0_5))))))),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l6,l5,l7,l4,l3,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUN060+1 : TPTP v9.0.0. Released v7.3.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 14:41:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------