%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUN087+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 : n020.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 12:34:41 PM UTC 2025
% Result : Theorem 13.28s 2.01s
% Output : CNFRefutation 13.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 18 unt; 0 def)
% Number of atoms : 69 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 23 ~; 19 |; 13 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 27 ( 2 sgn 3 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(zerotimeszeroeqzero,plain,
? [Y1] :
( ? [Y2] :
( r1(Y2)
& r4(Y2,Y2,Y1) )
& ? [Y3] :
( r1(Y3)
& Y1 = Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerotimeszeroeqzero) ).
fof(zerotimeszeroeqzero_negated,plain,
~ ? [Y1] :
( ? [Y2] :
( r1(Y2)
& r4(Y2,Y2,Y1) )
& ? [Y3] :
( r1(Y3)
& Y1 = Y3 ) ),
inference(negate_conjecture,[status(cth)],[zerotimeszeroeqzero]) ).
cnf(39,plain,
( X0 != X1
| ~ r4(X2,X2,X0)
| ~ r1(X2)
| ~ r1(X1) ),
inference(cnf,[status(esa)],[zerotimeszeroeqzero_negated]) ).
cnf(l0,plain,
( sK15(sK13(sK13(sK1))) != sK1
| ~ r4(sK1,sK1,sK15(sK13(sK13(sK1))))
| ~ r1(sK1)
| ~ r1(sK1) ),
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(33,plain,
sK15(X0) = sK17(X0),
inference(cnf,[status(esa)],[axiom_5a]) ).
cnf(l89,plain,
sK15(sK13(sK13(sK1))) = sK17(sK13(sK13(sK1))),
inference(instantiation,[status(thm)],[33]) ).
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(l10,plain,
sK13(sK1) = sK1,
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_1,plain,
? [Y24] :
! [X19] :
( ( ~ r1(X19)
& X19 != Y24 )
| ( r1(X19)
& X19 = Y24 ) ),
file('Axioms/NUM008+0.ax',axiom_1) ).
cnf(3,plain,
( r1(X0)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l3,plain,
( r1(sK1)
| ~ sP0(sK1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l9,plain,
( r1(sK13(sK1))
| ~ sP0(sK13(sK1)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
( X0 != sK1
| sP0(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l61,plain,
( sK13(sK1) != sK1
| sP0(sK13(sK1)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l23,plain,
sK13(sK17(sK13(sK13(sK1)))) = sK17(sK13(sK13(sK1))),
inference(instantiation,[status(thm)],[29]) ).
cnf(l111,plain,
( sK1 != sK1
| sP0(sK1) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l75,plain,
sK13(sK17(sK13(sK13(sK1)))) = sK17(sK13(sK13(sK1))),
inference(instantiation,[status(thm)],[29]) ).
cnf(2,plain,
( X0 = sK1
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l7,plain,
( sK17(sK13(sK13(sK1))) = sK1
| ~ sP0(sK17(sK13(sK13(sK1)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l69,plain,
sK13(sK1) = sK1,
inference(instantiation,[status(thm)],[29]) ).
cnf(0,plain,
( ~ r1(X0)
| sP0(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l91,plain,
( ~ r1(sK17(sK13(sK13(sK1))))
| sP0(sK17(sK13(sK13(sK1)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l87,plain,
sK13(sK13(sK1)) = sK13(sK1),
inference(instantiation,[status(thm)],[29]) ).
cnf(31,plain,
r4(X0,sK16(X0),sK15(X0)),
inference(cnf,[status(esa)],[axiom_5a]) ).
cnf(l84,plain,
r4(sK13(sK13(sK1)),sK16(sK13(sK13(sK1))),sK15(sK13(sK13(sK1)))),
inference(instantiation,[status(thm)],[31]) ).
cnf(l88,plain,
sK15(sK13(sK13(sK1))) = sK17(sK13(sK13(sK1))),
inference(instantiation,[status(thm)],[33]) ).
cnf(l8,plain,
( sK16(sK13(sK13(sK1))) = sK1
| ~ sP0(sK16(sK13(sK13(sK1)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l28,plain,
sK15(sK13(sK13(sK1))) = sK17(sK13(sK13(sK1))),
inference(instantiation,[status(thm)],[33]) ).
cnf(32,plain,
r1(sK17(X0)),
inference(cnf,[status(esa)],[axiom_5a]) ).
cnf(l99,plain,
r1(sK17(sK13(sK13(sK1)))),
inference(instantiation,[status(thm)],[32]) ).
cnf(l54,plain,
( ~ r1(sK16(sK13(sK13(sK1))))
| sP0(sK16(sK13(sK13(sK1)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l83,plain,
sK13(sK1) = sK1,
inference(instantiation,[status(thm)],[29]) ).
cnf(30,plain,
r1(sK16(X0)),
inference(cnf,[status(esa)],[axiom_5a]) ).
cnf(l70,plain,
r1(sK16(sK13(sK13(sK1)))),
inference(instantiation,[status(thm)],[30]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l89,l10,l3,l9,l61,l23,l111,l75,l7,l69,l91,l87,l84,l88,l8,l28,l99,l54,l83,l70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUN087+2 : TPTP v9.0.0. Released v7.3.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 14:52:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.37 % launching worker at depth: 10
% 8.49/1.43 % launching worker at depth: 11
% 13.28/2.01 % SZS status Theorem for theBenchmark
% 13.28/2.01 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------