TSTP Solution File: LCL666+1.001 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL666+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Tue Apr 30 13:47:31 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 75 ( 39 ~; 19 |; 16 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 17 ( 11 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,plain,
$false,
inference(subsumption_resolution,[],[f14,f11]) ).
fof(f11,plain,
p101(sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( p101(sK0)
& p201(sK0)
& ! [X1] :
( ~ p101(X1)
| ~ p201(X1)
| ~ r1(sK0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
fof(f7,plain,
( ? [X0] :
( p101(X0)
& p201(X0)
& ! [X1] :
( ~ p101(X1)
| ~ p201(X1)
| ~ r1(X0,X1) ) )
=> ( p101(sK0)
& p201(sK0)
& ! [X1] :
( ~ p101(X1)
| ~ p201(X1)
| ~ r1(sK0,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0] :
( p101(X0)
& p201(X0)
& ! [X1] :
( ~ p101(X1)
| ~ p201(X1)
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
( p101(X0)
& p201(X0)
& ! [X1] :
( ~ p101(X1)
| ~ p201(X1)
| ~ r1(X0,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ( p101(X0)
& p201(X0) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p201(X1) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p101(X0)
& p201(X0) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p201(X1) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( p101(X0)
& p201(X0) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p201(X1) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f14,plain,
~ p101(sK0),
inference(subsumption_resolution,[],[f13,f10]) ).
fof(f10,plain,
p201(sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f13,plain,
( ~ p201(sK0)
| ~ p101(sK0) ),
inference(resolution,[],[f9,f12]) ).
fof(f12,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f9,plain,
! [X1] :
( ~ r1(sK0,X1)
| ~ p201(X1)
| ~ p101(X1) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL666+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 23:13:48 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (6558)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (6563)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (6563)First to succeed.
% 0.15/0.38 % (6562)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (6560)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (6559)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (6561)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (6564)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (6565)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (6559)Also succeeded, but the first one will report.
% 0.15/0.38 % (6563)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (6563)------------------------------
% 0.15/0.38 % (6563)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (6563)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (6563)Memory used [KB]: 729
% 0.15/0.38 % (6563)Time elapsed: 0.003 s
% 0.15/0.38 % (6563)Instructions burned: 2 (million)
% 0.15/0.38 % (6563)------------------------------
% 0.15/0.38 % (6563)------------------------------
% 0.15/0.38 % (6558)Success in time 0.016 s
%------------------------------------------------------------------------------