%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUN080+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 : n019.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 12:34:40 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 : 17 ( 11 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 34 ( 11 ~; 8 |; 15 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 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 : 53 ( 7 sgn 4 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(xplustwoidy,plain,
? [Y1,Y2,Y3] :
( id(Y3,Y2)
& ? [Y4] :
( r3(Y1,Y4,Y3)
& ? [Y5] :
( r2(Y5,Y4)
& ? [Y6] :
( r1(Y6)
& r2(Y6,Y5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xplustwoidy) ).
fof(xplustwoidy_negated,plain,
~ ? [Y1,Y2,Y3] :
( id(Y3,Y2)
& ? [Y4] :
( r3(Y1,Y4,Y3)
& ? [Y5] :
( r2(Y5,Y4)
& ? [Y6] :
( r1(Y6)
& r2(Y6,Y5) ) ) ) ),
inference(negate_conjecture,[status(cth)],[xplustwoidy]) ).
cnf(58,plain,
( ~ id(X0,X1)
| ~ r1(X2)
| ~ r2(X3,X4)
| ~ r2(X2,X3)
| ~ r3(X5,X4,X0) ),
inference(cnf,[status(esa)],[xplustwoidy_negated]) ).
cnf(l0,plain,
( ~ id(sK9(sK11(X1_5,sK11(X1_4,sK17(X0_1))),X1_3),sK9(sK11(X1_5,sK11(X1_4,sK17(X0_1))),X1_3))
| ~ r1(sK17(X0_1))
| ~ r2(sK11(X1_4,sK17(X0_1)),sK11(X1_5,sK11(X1_4,sK17(X0_1))))
| ~ r2(sK17(X0_1),sK11(X1_4,sK17(X0_1)))
| ~ r3(sK12(sK11(X1_5,sK11(X1_4,sK17(X0_1))),X1_3),sK11(X1_5,sK11(X1_4,sK17(X0_1))),sK9(sK11(X1_5,sK11(X1_4,sK17(X0_1))),X1_3)) ),
inference(instantiation,[status(thm)],[58]) ).
fof(axiom_5a,plain,
! [X5] :
? [Y8] :
( ? [Y17] :
( r1(Y17)
& r4(X5,Y17,Y8) )
& ? [Y18] :
( id(Y8,Y18)
& r1(Y18) ) ),
file('Axioms/NUM009+0.ax',axiom_5a) ).
cnf(52,plain,
r1(sK17(X0)),
inference(cnf,[status(esa)],[axiom_5a]) ).
cnf(l1,plain,
r1(sK17(X0_1)),
inference(instantiation,[status(thm)],[52]) ).
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(l4,plain,
r2(sK17(X0_1),sK11(X1_4,sK17(X0_1))),
inference(instantiation,[status(thm)],[41]) ).
cnf(43,plain,
r3(sK12(X0,X1),X0,sK9(X0,X1)),
inference(cnf,[status(esa)],[axiom_2a]) ).
cnf(l3,plain,
r3(sK12(sK11(X1_5,sK11(X1_4,sK17(X0_1))),X1_3),sK11(X1_5,sK11(X1_4,sK17(X0_1))),sK9(sK11(X1_5,sK11(X1_4,sK17(X0_1))),X1_3)),
inference(instantiation,[status(thm)],[43]) ).
cnf(l5,plain,
r2(sK11(X1_4,sK17(X0_1)),sK11(X1_5,sK11(X1_4,sK17(X0_1)))),
inference(instantiation,[status(thm)],[41]) ).
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(sK9(sK11(X1_5,sK11(X1_4,sK17(X0_1))),X1_3),sK9(sK11(X1_5,sK11(X1_4,sK17(X0_1))),X1_3)),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l3,l5,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN080+1 : TPTP v9.0.0. Released v7.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 14:49:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 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
%------------------------------------------------------------------------------