TSTP Solution File: NUN089+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN089+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 : n005.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 18:08:11 EDT 2022
% Result : Theorem 0.16s 0.49s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 85 ( 32 ~; 21 |; 28 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 45 ( 25 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f232,plain,
$false,
inference(subsumption_resolution,[],[f229,f93]) ).
fof(f93,plain,
r1(sK10),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( r2(sK9,sK8)
& r1(sK9)
& r2(sK8,sK7)
& r1(sK10)
& id(sK10,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f49,f53,f52,f51,f50]) ).
fof(f50,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( r2(X2,X1)
& r1(X2) )
& r2(X1,X0) )
& ? [X3] :
( r1(X3)
& id(X3,X0) ) )
=> ( ? [X1] :
( ? [X2] :
( r2(X2,X1)
& r1(X2) )
& r2(X1,sK7) )
& ? [X3] :
( r1(X3)
& id(X3,sK7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( ? [X1] :
( ? [X2] :
( r2(X2,X1)
& r1(X2) )
& r2(X1,sK7) )
=> ( ? [X2] :
( r2(X2,sK8)
& r1(X2) )
& r2(sK8,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ? [X2] :
( r2(X2,sK8)
& r1(X2) )
=> ( r2(sK9,sK8)
& r1(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X3] :
( r1(X3)
& id(X3,sK7) )
=> ( r1(sK10)
& id(sK10,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( r2(X2,X1)
& r1(X2) )
& r2(X1,X0) )
& ? [X3] :
( r1(X3)
& id(X3,X0) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X0] :
( ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r1(X3) )
& r2(X2,X0) )
& ? [X1] :
( r1(X1)
& id(X1,X0) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
~ ! [X0] :
( ! [X2] :
( ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) )
| ~ r2(X2,X0) )
| ! [X1] :
( ~ id(X1,X0)
| ~ r1(X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X62] :
( ! [X39] :
( ~ r1(X39)
| ~ id(X39,X62) )
| ! [X45] :
( ~ r2(X45,X62)
| ! [X46] :
( ~ r2(X46,X45)
| ~ r1(X46) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X62] :
( ! [X39] :
( ~ r1(X39)
| ~ id(X39,X62) )
| ! [X45] :
( ~ r2(X45,X62)
| ! [X46] :
( ~ r2(X46,X45)
| ~ r1(X46) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerounidtwo) ).
fof(f229,plain,
~ r1(sK10),
inference(resolution,[],[f225,f92]) ).
fof(f92,plain,
id(sK10,sK7),
inference(cnf_transformation,[],[f54]) ).
fof(f225,plain,
! [X15] :
( ~ id(X15,sK7)
| ~ r1(X15) ),
inference(resolution,[],[f114,f94]) ).
fof(f94,plain,
r2(sK8,sK7),
inference(cnf_transformation,[],[f54]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X1) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ~ r2(X1,X0)
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X65,X64] :
( ~ r2(X64,X65)
| ! [X66] :
( ~ id(X66,X65)
| ~ r1(X66) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : NUN089+1 : TPTP v8.1.0. Released v7.3.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 09:52:18 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.47 % (23179)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.48 % (23180)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.48 TRYING [1]
% 0.16/0.48 % (23187)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.48 % (23188)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.49 % (23195)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.49 TRYING [2]
% 0.16/0.49 % (23180)First to succeed.
% 0.16/0.49 % (23180)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Theorem for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (23180)------------------------------
% 0.16/0.49 % (23180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (23180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (23180)Termination reason: Refutation
% 0.16/0.49
% 0.16/0.49 % (23180)Memory used [KB]: 5500
% 0.16/0.49 % (23180)Time elapsed: 0.113 s
% 0.16/0.49 % (23180)Instructions burned: 5 (million)
% 0.16/0.49 % (23180)------------------------------
% 0.16/0.49 % (23180)------------------------------
% 0.16/0.49 % (23172)Success in time 0.169 s
%------------------------------------------------------------------------------