TSTP Solution File: NUN070+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN070+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 : n023.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 18:07:41 EDT 2022
% Result : Theorem 1.59s 0.57s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 7 unt; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 168 ( 53 ~; 38 |; 70 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 117 ( 65 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(resolution,[],[f132,f105]) ).
fof(f105,plain,
r1(sK9(sK7)),
inference(resolution,[],[f86,f94]) ).
fof(f94,plain,
! [X0] : id(sK9(X0),X0),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( r3(X0,sK10(X0),sK9(X0))
& r1(sK10(X0))
& id(sK9(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f28,f56,f55]) ).
fof(f55,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK9(X0))
& r1(X2) )
& id(sK9(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK9(X0))
& r1(X2) )
=> ( r3(X0,sK10(X0),sK9(X0))
& r1(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( id(X54,X53)
& ? [X55] :
( r1(X55)
& r3(X53,X55,X54) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f86,plain,
! [X1] :
( ~ id(X1,sK7)
| r1(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1] :
( ( ~ r1(X1)
& ~ id(X1,sK7) )
| ( r1(X1)
& id(X1,sK7) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f1,f50]) ).
fof(f50,plain,
( ? [X0] :
! [X1] :
( ( ~ r1(X1)
& ~ id(X1,X0) )
| ( r1(X1)
& id(X1,X0) ) )
=> ! [X1] :
( ( ~ r1(X1)
& ~ id(X1,sK7) )
| ( r1(X1)
& id(X1,sK7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ r1(X1)
& ~ id(X1,X0) )
| ( r1(X1)
& id(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f132,plain,
! [X0] : ~ r1(X0),
inference(duplicate_literal_removal,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ~ r1(X0)
| ~ r1(X0) ),
inference(resolution,[],[f130,f63]) ).
fof(f63,plain,
! [X0,X1] : r2(X1,sK3(X0,X1)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( r2(sK1(X0,X1),sK0(X0,X1))
& r3(X0,X1,sK1(X0,X1))
& r3(X0,sK3(X0,X1),sK2(X0,X1))
& r2(X1,sK3(X0,X1))
& id(sK2(X0,X1),sK0(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f36,f40,f39,f38,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r3(X0,X1,X3) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r2(X3,sK0(X0,X1))
& r3(X0,X1,X3) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK0(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X3] :
( r2(X3,sK0(X0,X1))
& r3(X0,X1,X3) )
=> ( r2(sK1(X0,X1),sK0(X0,X1))
& r3(X0,X1,sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK0(X0,X1)) )
=> ( ? [X5] :
( r3(X0,X5,sK2(X0,X1))
& r2(X1,X5) )
& id(sK2(X0,X1),sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK2(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK3(X0,X1),sK2(X0,X1))
& r2(X1,sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r2(X3,X2)
& r3(X0,X1,X3) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
? [X2] :
( ? [X5] :
( r2(X5,X2)
& r3(X0,X1,X5) )
& ? [X3] :
( ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) )
& id(X3,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X37,X38] :
? [X39] :
( ? [X40] :
( ? [X41] :
( r2(X38,X41)
& r3(X37,X41,X40) )
& id(X40,X39) )
& ? [X42] :
( r2(X42,X39)
& r3(X37,X38,X42) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ r2(X0,sK3(X1,X2))
| ~ r1(X0)
| ~ r1(X2) ),
inference(resolution,[],[f126,f63]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ r2(X2,X1)
| ~ r2(X0,X1)
| ~ r1(X0)
| ~ r1(X2) ),
inference(resolution,[],[f125,f94]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( ~ id(sK9(X0),X1)
| ~ r1(X3)
| ~ r2(X3,X1)
| ~ r2(X2,X0)
| ~ r1(X2) ),
inference(subsumption_resolution,[],[f124,f95]) ).
fof(f95,plain,
! [X0] : r1(sK10(X0)),
inference(cnf_transformation,[],[f57]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( ~ r1(X2)
| ~ r2(X2,X0)
| ~ id(sK9(X0),X1)
| ~ r1(X3)
| ~ r2(X3,X1)
| ~ r1(sK10(X0)) ),
inference(resolution,[],[f96,f93]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r3(X1,X3,X0)
| ~ id(X0,X4)
| ~ r2(X2,X1)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r1(X2)
| ~ r1(X3) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) )
| ! [X3] :
( ~ r1(X3)
| ~ r3(X1,X3,X0) ) )
| ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) )
| ~ id(X0,X4) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ! [X3] :
( ! [X5] :
( ~ r2(X5,X3)
| ~ r1(X5) )
| ! [X4] :
( ~ r1(X4)
| ~ r3(X3,X4,X0) ) )
| ! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) )
| ~ id(X0,X1) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0] :
( ? [X3] :
( ? [X4] :
( r1(X4)
& r3(X3,X4,X0) )
& ? [X5] :
( r1(X5)
& r2(X5,X3) ) )
& ? [X1] :
( ? [X2] :
( r2(X2,X1)
& r1(X2) )
& id(X0,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62] :
( ? [X46] :
( id(X62,X46)
& ? [X48] :
( r1(X48)
& r2(X48,X46) ) )
& ? [X45] :
( ? [X39] :
( r1(X39)
& r3(X45,X39,X62) )
& ? [X40] :
( r1(X40)
& r2(X40,X45) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62] :
( ? [X46] :
( id(X62,X46)
& ? [X48] :
( r1(X48)
& r2(X48,X46) ) )
& ? [X45] :
( ? [X39] :
( r1(X39)
& r3(X45,X39,X62) )
& ? [X40] :
( r1(X40)
& r2(X40,X45) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',onepluszeroidone) ).
fof(f96,plain,
! [X0] : r3(X0,sK10(X0),sK9(X0)),
inference(cnf_transformation,[],[f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN070+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.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 : Tue Aug 30 10:07:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.35/0.55 % (7554)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.35/0.56 % (7570)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.35/0.56 % (7562)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.59/0.56 % (7554)First to succeed.
% 1.59/0.57 % (7554)Refutation found. Thanks to Tanya!
% 1.59/0.57 % SZS status Theorem for theBenchmark
% 1.59/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.57 % (7554)------------------------------
% 1.59/0.57 % (7554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (7554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (7554)Termination reason: Refutation
% 1.59/0.57
% 1.59/0.57 % (7554)Memory used [KB]: 6012
% 1.59/0.57 % (7554)Time elapsed: 0.133 s
% 1.59/0.57 % (7554)Instructions burned: 3 (million)
% 1.59/0.57 % (7554)------------------------------
% 1.59/0.57 % (7554)------------------------------
% 1.59/0.57 % (7547)Success in time 0.212 s
%------------------------------------------------------------------------------