TSTP Solution File: NUN089+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN089+2 : 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 : n002.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 0.15s 0.50s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 69 ( 14 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 81 ( 32 ~; 21 |; 24 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 42 ( 26 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f151,plain,
$false,
inference(resolution,[],[f146,f109]) ).
fof(f109,plain,
r1(sK0),
inference(definition_unfolding,[],[f68,f69]) ).
fof(f69,plain,
sK1 = sK0,
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( sK1 = sK0
& r1(sK1)
& r1(sK3)
& r2(sK3,sK2)
& r2(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f25,f29,f28,f27,f26]) ).
fof(f26,plain,
( ? [X0] :
( ? [X1] :
( X0 = X1
& r1(X1) )
& ? [X2] :
( ? [X3] :
( r1(X3)
& r2(X3,X2) )
& r2(X2,X0) ) )
=> ( ? [X1] :
( sK0 = X1
& r1(X1) )
& ? [X2] :
( ? [X3] :
( r1(X3)
& r2(X3,X2) )
& r2(X2,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X1] :
( sK0 = X1
& r1(X1) )
=> ( sK1 = sK0
& r1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X2] :
( ? [X3] :
( r1(X3)
& r2(X3,X2) )
& r2(X2,sK0) )
=> ( ? [X3] :
( r1(X3)
& r2(X3,sK2) )
& r2(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X3] :
( r1(X3)
& r2(X3,sK2) )
=> ( r1(sK3)
& r2(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] :
( ? [X1] :
( X0 = X1
& r1(X1) )
& ? [X2] :
( ? [X3] :
( r1(X3)
& r2(X3,X2) )
& r2(X2,X0) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0] :
( ! [X2] :
( ~ r2(X2,X0)
| ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) ) )
| ! [X1] :
( X0 != X1
| ~ r1(X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X38] :
( ! [X15] :
( ~ r1(X15)
| X15 != X38 )
| ! [X21] :
( ! [X22] :
( ~ r2(X22,X21)
| ~ r1(X22) )
| ~ r2(X21,X38) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X38] :
( ! [X15] :
( ~ r1(X15)
| X15 != X38 )
| ! [X21] :
( ! [X22] :
( ~ r2(X22,X21)
| ~ r1(X22) )
| ~ r2(X21,X38) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerouneqtwo) ).
fof(f68,plain,
r1(sK1),
inference(cnf_transformation,[],[f30]) ).
fof(f146,plain,
~ r1(sK0),
inference(resolution,[],[f115,f65]) ).
fof(f65,plain,
r2(sK2,sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f115,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( X1 != X2
| ~ r1(X2)
| ~ r2(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ! [X2] :
( X1 != X2
| ~ r1(X2) )
| ~ r2(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( ! [X2] :
( X0 != X2
| ~ r1(X2) )
| ~ r2(X1,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X41,X40] :
( ~ r2(X40,X41)
| ! [X42] :
( X41 != X42
| ~ r1(X42) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN089+2 : TPTP v8.1.0. Released v7.3.0.
% 0.09/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.33 % Computer : n002.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Tue Aug 30 10:04:43 EDT 2022
% 0.09/0.33 % CPUTime :
% 0.15/0.49 % (3976)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.49 % (3979)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.50 % (3973)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.50 % (3987)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.50 % (3971)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.50 % (3984)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.50 % (3976)First to succeed.
% 0.15/0.50 % (3992)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)
% 0.15/0.50 % (3989)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.50 % (3973)Also succeeded, but the first one will report.
% 0.15/0.50 % (3976)Refutation found. Thanks to Tanya!
% 0.15/0.50 % SZS status Theorem for theBenchmark
% 0.15/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50 % (3976)------------------------------
% 0.15/0.50 % (3976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (3976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (3976)Termination reason: Refutation
% 0.15/0.50
% 0.15/0.50 % (3976)Memory used [KB]: 5500
% 0.15/0.50 % (3976)Time elapsed: 0.095 s
% 0.15/0.50 % (3976)Instructions burned: 4 (million)
% 0.15/0.50 % (3976)------------------------------
% 0.15/0.50 % (3976)------------------------------
% 0.15/0.50 % (3965)Success in time 0.166 s
%------------------------------------------------------------------------------