TSTP Solution File: NUN069+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN069+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n010.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 : Wed Aug 31 18:08:04 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 83 ( 11 ~; 5 |; 60 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 0 con; 1-2 aty)
% Number of variables : 82 ( 36 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f147,plain,
$false,
inference(resolution,[],[f142,f88]) ).
fof(f88,plain,
! [X0] : r1(sK5(X0)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( id(sK3(X0),sK4(X0))
& r1(sK4(X0))
& r4(X0,sK5(X0),sK3(X0))
& r1(sK5(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f46,f49,f48,f47]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( id(X1,X2)
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( id(sK3(X0),X2)
& r1(X2) )
& ? [X3] :
( r4(X0,X3,sK3(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X2] :
( id(sK3(X0),X2)
& r1(X2) )
=> ( id(sK3(X0),sK4(X0))
& r1(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK3(X0))
& r1(X3) )
=> ( r4(X0,sK5(X0),sK3(X0))
& r1(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
? [X1] :
( ? [X2] :
( id(X1,X2)
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0] :
? [X1] :
( ? [X3] :
( id(X1,X3)
& r1(X3) )
& ? [X2] :
( r4(X0,X2,X1)
& r1(X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X56] :
? [X57] :
( ? [X58] :
( r4(X56,X58,X57)
& r1(X58) )
& ? [X59] :
( id(X57,X59)
& r1(X59) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).
fof(f142,plain,
! [X0] : ~ r1(X0),
inference(resolution,[],[f106,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X1) ),
inference(subsumption_resolution,[],[f121,f110]) ).
fof(f110,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f121,plain,
! [X0,X1] :
( ~ r1(X1)
| ~ id(X0,X0)
| ~ r2(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ~ r2(X1,X0)
| ~ r1(X1) )
| ~ id(X0,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ? [X0] :
( ? [X1] :
( r1(X1)
& r2(X1,X0) )
& id(X0,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62] :
( id(X62,X62)
& ? [X45] :
( r1(X45)
& r2(X45,X62) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62] :
( id(X62,X62)
& ? [X45] :
( r1(X45)
& r2(X45,X62) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneidone) ).
fof(f106,plain,
! [X0,X1] : r2(X0,sK9(X0,X1)),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( r4(X1,X0,sK7(X0,X1))
& r3(sK7(X0,X1),X1,sK6(X0,X1))
& r4(X1,sK9(X0,X1),sK8(X0,X1))
& r2(X0,sK9(X0,X1))
& id(sK8(X0,X1),sK6(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f54,f58,f57,f56,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,X2) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,sK6(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& id(X4,sK6(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,sK6(X0,X1)) )
=> ( r4(X1,X0,sK7(X0,X1))
& r3(sK7(X0,X1),X1,sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& id(X4,sK6(X0,X1)) )
=> ( ? [X5] :
( r4(X1,X5,sK8(X0,X1))
& r2(X0,X5) )
& id(sK8(X0,X1),sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X5] :
( r4(X1,X5,sK8(X0,X1))
& r2(X0,X5) )
=> ( r4(X1,sK9(X0,X1),sK8(X0,X1))
& r2(X0,sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,X2) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X43,X44] :
? [X45] :
( ? [X48] :
( r3(X48,X43,X45)
& r4(X43,X44,X48) )
& ? [X46] :
( ? [X47] :
( r4(X43,X47,X46)
& r2(X44,X47) )
& id(X46,X45) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUN069+1 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 09:37:44 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (8003)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48 % (8010)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.48 % (8010)First to succeed.
% 0.19/0.49 % (8010)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (8010)------------------------------
% 0.19/0.49 % (8010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (8010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (8010)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (8010)Memory used [KB]: 5500
% 0.19/0.49 % (8010)Time elapsed: 0.090 s
% 0.19/0.49 % (8010)Instructions burned: 3 (million)
% 0.19/0.49 % (8010)------------------------------
% 0.19/0.49 % (8010)------------------------------
% 0.19/0.49 % (7989)Success in time 0.146 s
%------------------------------------------------------------------------------