TSTP Solution File: SYN358+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN358+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 : Sun May 5 12:09:52 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 82 ( 29 ~; 25 |; 22 &)
% ( 3 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 32 ( 16 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,plain,
$false,
inference(subsumption_resolution,[],[f21,f20]) ).
fof(f20,plain,
! [X0] : ~ big_q(X0),
inference(subsumption_resolution,[],[f19,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ big_q(X0)
| ~ big_q(X1) ),
inference(subsumption_resolution,[],[f17,f16]) ).
fof(f16,plain,
p,
inference(duplicate_literal_removal,[],[f11]) ).
fof(f11,plain,
( p
| p ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( ! [X0] : ~ big_q(X0)
| ~ p
| ! [X1] :
( ~ big_q(X1)
| ~ p ) )
& ( ( big_q(sK0)
& p )
| ( big_q(sK1)
& p ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).
fof(f8,plain,
( ? [X2] : big_q(X2)
=> big_q(sK0) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X3] :
( big_q(X3)
& p )
=> ( big_q(sK1)
& p ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
( ( ! [X0] : ~ big_q(X0)
| ~ p
| ! [X1] :
( ~ big_q(X1)
| ~ p ) )
& ( ( ? [X2] : big_q(X2)
& p )
| ? [X3] :
( big_q(X3)
& p ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
( ( ! [X1] : ~ big_q(X1)
| ~ p
| ! [X0] :
( ~ big_q(X0)
| ~ p ) )
& ( ( ? [X1] : big_q(X1)
& p )
| ? [X0] :
( big_q(X0)
& p ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
( ( ! [X1] : ~ big_q(X1)
| ~ p
| ! [X0] :
( ~ big_q(X0)
| ~ p ) )
& ( ( ? [X1] : big_q(X1)
& p )
| ? [X0] :
( big_q(X0)
& p ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ? [X0] :
( big_q(X0)
& p )
<~> ( ? [X1] : big_q(X1)
& p ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ? [X0] :
( big_q(X0)
& p )
<=> ( ? [X1] : big_q(X1)
& p ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
( big_q(X0)
& p )
<=> ( ? [X0] : big_q(X0)
& p ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X0] :
( big_q(X0)
& p )
<=> ( ? [X0] : big_q(X0)
& p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2109) ).
fof(f17,plain,
! [X0,X1] :
( ~ big_q(X0)
| ~ p
| ~ big_q(X1) ),
inference(duplicate_literal_removal,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ big_q(X0)
| ~ p
| ~ big_q(X1)
| ~ p ),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
! [X0] :
( ~ big_q(X0)
| big_q(sK0) ),
inference(resolution,[],[f18,f14]) ).
fof(f14,plain,
( big_q(sK1)
| big_q(sK0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f21,plain,
big_q(sK0),
inference(resolution,[],[f20,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN358+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n022.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 : Fri May 3 17:27:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (26396)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (26402)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (26401)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (26400)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 % (26399)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 % (26403)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 % (26398)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 % (26397)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [2]
% 0.15/0.38 Detected maximum model sizes of [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (26400)Also succeeded, but the first one will report.
% 0.15/0.38 % (26403)Also succeeded, but the first one will report.
% 0.15/0.38 % (26401)First to succeed.
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (26402)Also succeeded, but the first one will report.
% 0.15/0.38 % (26398)Also succeeded, but the first one will report.
% 0.15/0.38 % (26399)Also succeeded, but the first one will report.
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (26401)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26396"
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (26397)Also succeeded, but the first one will report.
% 0.15/0.39 % (26401)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (26401)------------------------------
% 0.15/0.39 % (26401)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (26401)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (26401)Memory used [KB]: 743
% 0.15/0.39 % (26401)Time elapsed: 0.003 s
% 0.15/0.39 % (26401)Instructions burned: 2 (million)
% 0.15/0.39 % (26396)Success in time 0.008 s
%------------------------------------------------------------------------------