TSTP Solution File: NUN069+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n019.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 18:07:40 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 79 ( 10 ~; 5 |; 57 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 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 : 77 ( 34 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f137,plain,
$false,
inference(unit_resulting_resolution,[],[f132,f124,f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X1) ),
inference(subsumption_resolution,[],[f80,f107]) ).
fof(f107,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f80,plain,
! [X0,X1] :
( ~ r1(X1)
| ~ id(X0,X0)
| ~ r2(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ id(X0,X0)
| ! [X1] :
( ~ r1(X1)
| ~ r2(X1,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0] :
( id(X0,X0)
& ? [X1] :
( r1(X1)
& r2(X1,X0) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62] :
( id(X62,X62)
& ? [X45] :
( r2(X45,X62)
& r1(X45) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62] :
( id(X62,X62)
& ? [X45] :
( r2(X45,X62)
& r1(X45) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneidone) ).
fof(f124,plain,
! [X0,X1] : r2(X1,sK13(X0,X1)),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( r3(X0,X1,sK11(X0,X1))
& r2(sK11(X0,X1),sK10(X0,X1))
& r2(X1,sK13(X0,X1))
& r3(X0,sK13(X0,X1),sK12(X0,X1))
& id(sK12(X0,X1),sK10(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f62,f66,f65,f64,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r2(X1,X5)
& r3(X0,X5,X4) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK10(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r2(X1,X5)
& r3(X0,X5,X4) )
& id(X4,sK10(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK10(X0,X1)) )
=> ( r3(X0,X1,sK11(X0,X1))
& r2(sK11(X0,X1),sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r2(X1,X5)
& r3(X0,X5,X4) )
& id(X4,sK10(X0,X1)) )
=> ( ? [X5] :
( r2(X1,X5)
& r3(X0,X5,sK12(X0,X1)) )
& id(sK12(X0,X1),sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X1] :
( ? [X5] :
( r2(X1,X5)
& r3(X0,X5,sK12(X0,X1)) )
=> ( r2(X1,sK13(X0,X1))
& r3(X0,sK13(X0,X1),sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r2(X1,X5)
& r3(X0,X5,X4) )
& id(X4,X2) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
? [X2] :
( ? [X3] :
( r3(X1,X0,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r2(X0,X5)
& r3(X1,X5,X4) )
& id(X4,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X38,X37] :
? [X39] :
( ? [X42] :
( r2(X42,X39)
& r3(X37,X38,X42) )
& ? [X40] :
( ? [X41] :
( r2(X38,X41)
& r3(X37,X41,X40) )
& id(X40,X39) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f132,plain,
! [X0] : r1(sK19(X0)),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( r4(X0,sK18(X0),sK17(X0))
& r1(sK18(X0))
& r1(sK19(X0))
& id(sK17(X0),sK19(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f32,f74,f73,f72]) ).
fof(f72,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r4(X0,X2,X1)
& r1(X2) )
& ? [X3] :
( r1(X3)
& id(X1,X3) ) )
=> ( ? [X2] :
( r4(X0,X2,sK17(X0))
& r1(X2) )
& ? [X3] :
( r1(X3)
& id(sK17(X0),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ? [X2] :
( r4(X0,X2,sK17(X0))
& r1(X2) )
=> ( r4(X0,sK18(X0),sK17(X0))
& r1(sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ? [X3] :
( r1(X3)
& id(sK17(X0),X3) )
=> ( r1(sK19(X0))
& id(sK17(X0),sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r4(X0,X2,X1)
& r1(X2) )
& ? [X3] :
( r1(X3)
& id(X1,X3) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X56] :
? [X57] :
( ? [X58] :
( r1(X58)
& r4(X56,X58,X57) )
& ? [X59] :
( r1(X59)
& id(X57,X59) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % 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_uns --cores 0 -t %d %s
% 0.11/0.33 % Computer : n019.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 : Tue Aug 30 09:48:20 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.46 % (24288)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.46 % (24288)First to succeed.
% 0.19/0.46 % (24280)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47 % (24288)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (24288)------------------------------
% 0.19/0.47 % (24288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (24288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (24288)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (24288)Memory used [KB]: 1535
% 0.19/0.47 % (24288)Time elapsed: 0.044 s
% 0.19/0.47 % (24288)Instructions burned: 2 (million)
% 0.19/0.47 % (24288)------------------------------
% 0.19/0.47 % (24288)------------------------------
% 0.19/0.47 % (24264)Success in time 0.128 s
%------------------------------------------------------------------------------