TSTP Solution File: NUN060+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUN060+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 : Tue Apr 30 20:36:18 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 110 ( 43 ~; 33 |; 34 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 0 con; 1-2 aty)
% Number of variables : 117 ( 90 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X20] : id(X20,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( id(Y5,Y4)
& ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) ) )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [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('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X5] :
? [Y8] :
( ? [Y17] :
( r1(Y17)
& r4(X5,Y17,Y8) )
& ? [Y18] :
( id(Y8,Y18)
& r1(Y18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
? [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') ).
fof(f20,negated_conjecture,
~ ? [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(negated_conjecture,[status(cth)],[f19]) ).
fof(f41,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f61,plain,
! [X1,X8] :
( id(sk0_5(X8,X1),sk0_4(X8,X1))
& r2(X8,sk0_6(X8,X1))
& r3(X1,sk0_6(X8,X1),sk0_5(X8,X1))
& r2(sk0_7(X8,X1),sk0_4(X8,X1))
& r3(X1,X8,sk0_7(X8,X1)) ),
inference(skolemization,[status(esa)],[f12]) ).
fof(f63,plain,
! [X0,X1] : r2(X0,sk0_6(X0,X1)),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f66,plain,
! [X0,X1] : r3(X0,X1,sk0_7(X1,X0)),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f67,plain,
! [X2,X9] :
( id(sk0_9(X9,X2),sk0_8(X9,X2))
& r2(X9,sk0_10(X9,X2))
& r4(X2,sk0_10(X9,X2),sk0_9(X9,X2))
& r3(sk0_11(X9,X2),X2,sk0_8(X9,X2))
& r4(X2,X9,sk0_11(X9,X2)) ),
inference(skolemization,[status(esa)],[f13]) ).
fof(f69,plain,
! [X0,X1] : r2(X0,sk0_10(X0,X1)),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f78,plain,
! [X5] :
( r1(sk0_15(X5))
& r4(X5,sk0_15(X5),sk0_14(X5))
& id(sk0_14(X5),sk0_16(X5))
& r1(sk0_16(X5)) ),
inference(skolemization,[status(esa)],[f16]) ).
fof(f82,plain,
! [X0] : r1(sk0_16(X0)),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f91,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(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f92,plain,
! [Y3] :
( ! [Y1] : ~ id(Y3,Y1)
| ! [Y4] :
( ! [Y2] : ~ r3(Y2,Y4,Y3)
| ! [Y5] :
( ~ r2(Y5,Y4)
| ! [Y6] :
( ~ r2(Y6,Y5)
| ! [Y7] :
( ~ r2(Y7,Y6)
| ! [Y8] :
( ~ r1(Y8)
| ~ r2(Y8,Y7) ) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f91]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ id(X0,X1)
| ~ r3(X2,X3,X0)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r1(X7)
| ~ r2(X7,X6) ),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ id(X0,X1)
| ~ r3(X2,X3,X0)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r2(sk0_16(X7),X6) ),
inference(resolution,[status(thm)],[f82,f93]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ id(X0,X1)
| ~ r3(X2,X3,X0)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(sk0_6(sk0_16(X6),X7),X5) ),
inference(resolution,[status(thm)],[f63,f126]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ id(X0,X1)
| ~ r3(X2,X3,X0)
| ~ r2(X4,X3)
| ~ r2(sk0_10(sk0_6(sk0_16(X5),X6),X7),X4) ),
inference(resolution,[status(thm)],[f127,f69]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ id(X0,X1)
| ~ r3(X2,X3,X0)
| ~ r2(sk0_10(sk0_10(sk0_6(sk0_16(X4),X5),X6),X7),X3) ),
inference(resolution,[status(thm)],[f144,f69]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ id(X0,X1)
| ~ r3(X2,sk0_10(sk0_10(sk0_10(sk0_6(sk0_16(X3),X4),X5),X6),X7),X0) ),
inference(resolution,[status(thm)],[f146,f69]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5,X6] : ~ id(sk0_7(sk0_10(sk0_10(sk0_10(sk0_6(sk0_16(X0),X1),X2),X3),X4),X5),X6),
inference(resolution,[status(thm)],[f148,f66]) ).
fof(f151,plain,
$false,
inference(resolution,[status(thm)],[f150,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUN060+1 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 22:58:49 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.35 % Elapsed time: 0.016998 seconds
% 0.11/0.35 % CPU time: 0.042680 seconds
% 0.11/0.35 % Total memory used: 2.646 MB
% 0.11/0.35 % Net memory used: 2.626 MB
%------------------------------------------------------------------------------