TSTP Solution File: NUN076+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUN076+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:36:22 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 60 ( 23 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 166 ( 73 ~; 57 |; 34 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 140 ( 115 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [Y24] :
! [X19] :
( ( id(X19,Y24)
& r1(X19) )
| ( ~ r1(X19)
& ~ id(X19,Y24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( id(X12,Y21)
& r2(X11,X12) )
| ( ~ r2(X11,X12)
& ~ id(X12,Y21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X20] : id(X20,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X21,X22] :
( ~ id(X21,X22)
| id(X22,X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X23,X24,X25] :
( ~ id(X23,X24)
| id(X23,X25)
| ~ id(X24,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X4] :
? [Y9] :
( id(Y9,X4)
& ? [Y16] :
( r1(Y16)
& r3(X4,Y16,Y9) ) ),
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] :
( ? [Y4] :
( id(Y4,Y1)
& ? [Y6] :
( r4(Y6,Y2,Y4)
& ? [Y7] :
( r2(Y7,Y6)
& ? [Y8] :
( r1(Y8)
& r2(Y8,Y7) ) ) ) )
& ? [Y5] :
( id(Y5,Y1)
& r3(Y2,Y3,Y5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ? [Y1,Y2,Y3] :
( ? [Y4] :
( id(Y4,Y1)
& ? [Y6] :
( r4(Y6,Y2,Y4)
& ? [Y7] :
( r2(Y7,Y6)
& ? [Y8] :
( r1(Y8)
& r2(Y8,Y7) ) ) ) )
& ? [Y5] :
( id(Y5,Y1)
& r3(Y2,Y3,Y5) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [Y24,X19] :
( pd0_0(X19,Y24)
=> ( id(X19,Y24)
& r1(X19) ) ),
introduced(predicate_definition,[f1]) ).
fof(f22,plain,
? [Y24] :
! [X19] :
( pd0_0(X19,Y24)
| ( ~ r1(X19)
& ~ id(X19,Y24) ) ),
inference(formula_renaming,[status(thm)],[f1,f21]) ).
fof(f23,plain,
! [X19] :
( pd0_0(X19,sk0_0)
| ( ~ r1(X19)
& ~ id(X19,sk0_0) ) ),
inference(skolemization,[status(esa)],[f22]) ).
fof(f24,plain,
! [X0] :
( pd0_0(X0,sk0_0)
| ~ r1(X0) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
! [X0] :
( pd0_0(X0,sk0_0)
| ~ id(X0,sk0_0) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f26,plain,
! [X11,Y21,X12] :
( pd0_1(X12,Y21,X11)
=> ( id(X12,Y21)
& r2(X11,X12) ) ),
introduced(predicate_definition,[f2]) ).
fof(f27,plain,
! [X11] :
? [Y21] :
! [X12] :
( pd0_1(X12,Y21,X11)
| ( ~ r2(X11,X12)
& ~ id(X12,Y21) ) ),
inference(formula_renaming,[status(thm)],[f2,f26]) ).
fof(f28,plain,
! [X11,X12] :
( pd0_1(X12,sk0_1(X11),X11)
| ( ~ r2(X11,X12)
& ~ id(X12,sk0_1(X11)) ) ),
inference(skolemization,[status(esa)],[f27]) ).
fof(f30,plain,
! [X0,X1] :
( pd0_1(X0,sk0_1(X1),X1)
| ~ id(X0,sk0_1(X1)) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f41,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f42,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f43,plain,
! [X24,X25] :
( ! [X23] :
( ~ id(X23,X24)
| id(X23,X25) )
| ~ id(X24,X25) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ id(X0,X1)
| id(X0,X2)
| ~ id(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f74,plain,
! [X4] :
( id(sk0_12(X4),X4)
& r1(sk0_13(X4))
& r3(X4,sk0_13(X4),sk0_12(X4)) ),
inference(skolemization,[status(esa)],[f15]) ).
fof(f75,plain,
! [X0] : id(sk0_12(X0),X0),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f77,plain,
! [X0] : r3(X0,sk0_13(X0),sk0_12(X0)),
inference(cnf_transformation,[status(esa)],[f74]) ).
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(f79,plain,
! [X0] : r1(sk0_15(X0)),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f80,plain,
! [X0] : r4(X0,sk0_15(X0),sk0_14(X0)),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f81,plain,
! [X0] : id(sk0_14(X0),sk0_16(X0)),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f82,plain,
! [X0] : r1(sk0_16(X0)),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f91,plain,
! [Y1,Y2,Y3] :
( ! [Y4] :
( ~ id(Y4,Y1)
| ! [Y6] :
( ~ r4(Y6,Y2,Y4)
| ! [Y7] :
( ~ r2(Y7,Y6)
| ! [Y8] :
( ~ r1(Y8)
| ~ r2(Y8,Y7) ) ) ) )
| ! [Y5] :
( ~ id(Y5,Y1)
| ~ r3(Y2,Y3,Y5) ) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f92,plain,
! [Y1,Y2] :
( ! [Y4] :
( ~ id(Y4,Y1)
| ! [Y6] :
( ~ r4(Y6,Y2,Y4)
| ! [Y7] :
( ~ r2(Y7,Y6)
| ! [Y8] :
( ~ r1(Y8)
| ~ r2(Y8,Y7) ) ) ) )
| ! [Y5] :
( ~ id(Y5,Y1)
| ! [Y3] : ~ r3(Y2,Y3,Y5) ) ),
inference(miniscoping,[status(esa)],[f91]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ id(X0,X1)
| ~ r4(X2,X3,X0)
| ~ r2(X4,X2)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ id(X6,X1)
| ~ r3(X3,X7,X6) ),
inference(cnf_transformation,[status(esa)],[f92]) ).
fof(f94,plain,
! [Y24,X19] :
( ~ pd0_0(X19,Y24)
| ( id(X19,Y24)
& r1(X19) ) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f95,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| id(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| r1(X0) ),
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f97,plain,
! [X11,Y21,X12] :
( ~ pd0_1(X12,Y21,X11)
| ( id(X12,Y21)
& r2(X11,X12) ) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ pd0_1(X0,X1,X2)
| r2(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f124,plain,
! [X0] : id(X0,sk0_12(X0)),
inference(resolution,[status(thm)],[f75,f42]) ).
fof(f125,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X0,sk0_12(X1)) ),
inference(resolution,[status(thm)],[f124,f44]) ).
fof(f167,plain,
! [X0] : pd0_0(sk0_16(X0),sk0_0),
inference(resolution,[status(thm)],[f24,f82]) ).
fof(f168,plain,
! [X0] : pd0_0(sk0_15(X0),sk0_0),
inference(resolution,[status(thm)],[f24,f79]) ).
fof(f179,plain,
! [X0] : id(sk0_15(X0),sk0_0),
inference(resolution,[status(thm)],[f95,f168]) ).
fof(f180,plain,
! [X0] : id(sk0_16(X0),sk0_0),
inference(resolution,[status(thm)],[f95,f167]) ).
fof(f188,plain,
! [X0] : id(sk0_0,sk0_15(X0)),
inference(resolution,[status(thm)],[f179,f42]) ).
fof(f191,plain,
! [X0,X1] :
( ~ id(X0,sk0_16(X1))
| id(X0,sk0_0) ),
inference(resolution,[status(thm)],[f180,f44]) ).
fof(f205,plain,
! [X0] : pd0_1(sk0_1(X0),sk0_1(X0),X0),
inference(resolution,[status(thm)],[f30,f41]) ).
fof(f231,plain,
! [X0] : id(sk0_0,sk0_12(sk0_15(X0))),
inference(resolution,[status(thm)],[f188,f125]) ).
fof(f273,plain,
! [X0] : id(sk0_12(sk0_15(X0)),sk0_0),
inference(resolution,[status(thm)],[f231,f42]) ).
fof(f392,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ id(sk0_14(X0),X1)
| ~ r2(X2,X0)
| ~ r1(X3)
| ~ r2(X3,X2)
| ~ id(X4,X1)
| ~ r3(sk0_15(X0),X5,X4) ),
inference(resolution,[status(thm)],[f80,f93]) ).
fof(f394,plain,
! [X0] : r2(X0,sk0_1(X0)),
inference(resolution,[status(thm)],[f99,f205]) ).
fof(f408,plain,
! [X0] : id(sk0_14(X0),sk0_0),
inference(resolution,[status(thm)],[f191,f81]) ).
fof(f415,plain,
! [X0] : pd0_0(sk0_14(X0),sk0_0),
inference(resolution,[status(thm)],[f408,f25]) ).
fof(f421,plain,
! [X0] : r1(sk0_14(X0)),
inference(resolution,[status(thm)],[f415,f96]) ).
fof(f451,plain,
! [X0,X1,X2,X3] :
( ~ id(sk0_14(X0),X1)
| ~ r2(X2,X0)
| ~ r1(X3)
| ~ r2(X3,X2)
| ~ id(sk0_12(sk0_15(X0)),X1) ),
inference(resolution,[status(thm)],[f392,f77]) ).
fof(f453,plain,
! [X0,X1,X2] :
( ~ id(sk0_14(X0),sk0_0)
| ~ r2(X1,X0)
| ~ r1(X2)
| ~ r2(X2,X1) ),
inference(resolution,[status(thm)],[f451,f273]) ).
fof(f454,plain,
! [X0,X1,X2] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ r2(X2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f408]) ).
fof(f460,plain,
! [X0,X1] :
( ~ r2(sk0_1(X0),X1)
| ~ r1(X0) ),
inference(resolution,[status(thm)],[f454,f394]) ).
fof(f463,plain,
! [X0] : ~ r1(X0),
inference(resolution,[status(thm)],[f460,f394]) ).
fof(f466,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f421,f463]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN076+1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.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 Apr 29 22:33:41 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.42 % Refutation found
% 0.20/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.44 % Elapsed time: 0.090091 seconds
% 0.20/0.44 % CPU time: 0.635016 seconds
% 0.20/0.44 % Total memory used: 15.694 MB
% 0.20/0.44 % Net memory used: 15.137 MB
%------------------------------------------------------------------------------