TSTP Solution File: SYN395+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN395+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 May 21 08:35:23 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 12 ~; 5 |; 8 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 21 ( 13 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,plain,
$false,
inference(resolution,[],[f11,f9]) ).
fof(f9,plain,
f(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ! [X0] : ~ g(X0)
& f(sK0)
& ! [X2] :
( g(X2)
| ~ f(X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
fof(f6,plain,
( ? [X1] : f(X1)
=> f(sK0) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
( ! [X0] : ~ g(X0)
& ? [X1] : f(X1)
& ! [X2] :
( g(X2)
| ~ f(X2) ) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
( ! [X2] : ~ g(X2)
& ? [X1] : f(X1)
& ! [X0] :
( g(X0)
| ~ f(X0) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
( ! [X2] : ~ g(X2)
& ? [X1] : f(X1)
& ! [X0] :
( g(X0)
| ~ f(X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( f(X0)
=> g(X0) )
=> ( ? [X1] : f(X1)
=> ? [X2] : g(X2) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
( f(X0)
=> g(X0) )
=> ( ? [X1] : f(X1)
=> ? [X2] : g(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish202) ).
fof(f11,plain,
! [X2] : ~ f(X2),
inference(subsumption_resolution,[],[f8,f10]) ).
fof(f10,plain,
! [X0] : ~ g(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f8,plain,
! [X2] :
( g(X2)
| ~ f(X2) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN395+1 : TPTP v8.2.0. Released v2.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 13:50:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (19720)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (19725)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (19723)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)
% 0.14/0.38 % (19726)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (19721)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (19724)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (19722)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (19727)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)
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 Detected maximum model sizes of [1]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (19721)Also succeeded, but the first one will report.
% 0.14/0.38 % (19722)Also succeeded, but the first one will report.
% 0.14/0.38 % (19726)Also succeeded, but the first one will report.
% 0.14/0.38 % (19724)Also succeeded, but the first one will report.
% 0.14/0.38 % (19725)First to succeed.
% 0.14/0.38 % (19723)Also succeeded, but the first one will report.
% 0.14/0.38 % (19727)Also succeeded, but the first one will report.
% 0.14/0.38 % (19725)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19720"
% 0.14/0.38 % (19725)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (19725)------------------------------
% 0.14/0.38 % (19725)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (19725)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (19725)Memory used [KB]: 729
% 0.14/0.38 % (19725)Time elapsed: 0.003 s
% 0.14/0.38 % (19725)Instructions burned: 2 (million)
% 0.14/0.38 % (19720)Success in time 0.008 s
%------------------------------------------------------------------------------