%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUN070+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 : n027.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 0.08s 0.26s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 53 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 48 ( 15 ~; 12 |; 21 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 51 ( 9 sgn 4 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(onepluszeroeqone,plain,
? [Y1] :
( ? [Y2] :
( ? [Y4] :
( r1(Y4)
& r3(Y2,Y4,Y1) )
& ? [Y5] :
( r1(Y5)
& r2(Y5,Y2) ) )
& ? [Y3] :
( Y1 = Y3
& ? [Y6] :
( r1(Y6)
& r2(Y6,Y3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',onepluszeroeqone) ).
fof(onepluszeroeqone_negated,plain,
~ ? [Y1] :
( ? [Y2] :
( ? [Y4] :
( r1(Y4)
& r3(Y2,Y4,Y1) )
& ? [Y5] :
( r1(Y5)
& r2(Y5,Y2) ) )
& ? [Y3] :
( Y1 = Y3
& ? [Y6] :
( r1(Y6)
& r2(Y6,Y3) ) ) ),
inference(negate_conjecture,[status(cth)],[onepluszeroeqone]) ).
cnf(39,plain,
( X0 != X1
| ~ r1(X2)
| ~ r1(X3)
| ~ r1(X4)
| ~ r2(X3,X5)
| ~ r2(X4,X1)
| ~ r3(X5,X2,X0) ),
inference(cnf,[status(esa)],[onepluszeroeqone_negated]) ).
cnf(l0,plain,
( sK13(sK7(X1_5,sK16(X0_4))) != sK7(X1_5,sK16(X0_4))
| ~ r1(sK14(sK7(X1_5,sK16(X0_4))))
| ~ r1(sK16(X0_4))
| ~ r1(sK16(X0_4))
| ~ r2(sK16(X0_4),sK7(X1_5,sK16(X0_4)))
| ~ r2(sK16(X0_4),sK7(X1_5,sK16(X0_4)))
| ~ r3(sK7(X1_5,sK16(X0_4)),sK14(sK7(X1_5,sK16(X0_4))),sK13(sK7(X1_5,sK16(X0_4)))) ),
inference(instantiation,[status(thm)],[39]) ).
fof(axiom_5a,plain,
! [X5] :
? [Y8] :
( ? [Y17] :
( r1(Y17)
& r4(X5,Y17,Y8) )
& ? [Y18] :
( r1(Y18)
& Y8 = Y18 ) ),
file('Axioms/NUM008+0.ax',axiom_5a) ).
cnf(30,plain,
r1(sK16(X0)),
inference(cnf,[status(esa)],[axiom_5a]) ).
cnf(l1,plain,
r1(sK16(X0_4)),
inference(instantiation,[status(thm)],[30]) ).
fof(axiom_4a,plain,
! [X4] :
? [Y9] :
( ? [Y16] :
( r1(Y16)
& r3(X4,Y16,Y9) )
& Y9 = X4 ),
file('Axioms/NUM008+0.ax',axiom_4a) ).
cnf(29,plain,
sK13(X0) = X0,
inference(cnf,[status(esa)],[axiom_4a]) ).
cnf(l2,plain,
sK13(sK7(X1_5,sK16(X0_4))) = sK7(X1_5,sK16(X0_4)),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_1a,plain,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) )
& Y5 = Y4 )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
file('Axioms/NUM008+0.ax',axiom_1a) ).
cnf(16,plain,
r2(X0,sK7(X1,X0)),
inference(cnf,[status(esa)],[axiom_1a]) ).
cnf(l6,plain,
r2(sK16(X0_4),sK7(X1_5,sK16(X0_4))),
inference(instantiation,[status(thm)],[16]) ).
cnf(28,plain,
r3(X0,sK14(X0),sK13(X0)),
inference(cnf,[status(esa)],[axiom_4a]) ).
cnf(l3,plain,
r3(sK7(X1_5,sK16(X0_4)),sK14(sK7(X1_5,sK16(X0_4))),sK13(sK7(X1_5,sK16(X0_4)))),
inference(instantiation,[status(thm)],[28]) ).
cnf(27,plain,
r1(sK14(X0)),
inference(cnf,[status(esa)],[axiom_4a]) ).
cnf(l7,plain,
r1(sK14(sK7(X1_5,sK16(X0_4)))),
inference(instantiation,[status(thm)],[27]) ).
cnf(l5,plain,
r2(sK16(X0_4),sK7(X1_5,sK16(X0_4))),
inference(instantiation,[status(thm)],[16]) ).
cnf(l4,plain,
r1(sK16(X0_4)),
inference(instantiation,[status(thm)],[30]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l3,l7,l5,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUN070+2 : TPTP v9.0.0. Released v7.3.0.
% 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.25 % Computer : n027.cluster.edu
% 0.08/0.25 % Model : x86_64 x86_64
% 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25 % Memory : 8042.1875MB
% 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25 % CPULimit : 300
% 0.08/0.25 % WCLimit : 300
% 0.08/0.25 % DateTime : Mon Jul 21 14:45:34 EDT 2025
% 0.08/0.26 % CPUTime :
% 0.08/0.26 % launching worker at depth: 3
% 0.08/0.26 % launching worker at depth: 4
% 0.08/0.26 % launching worker at depth: 5
% 0.08/0.26 % launching worker at depth: 2
% 0.08/0.26 % launching worker at depth: 1
% 0.08/0.26 % launching worker at depth: 6
% 0.08/0.26 % launching worker at depth: 7
% 0.08/0.26 % launching worker at depth: 8
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------