TSTP Solution File: SET899+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET899+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 15:13:55 EDT 2024
% Result : Theorem 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 40 ( 16 ~; 10 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 19 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,plain,
$false,
inference(subsumption_resolution,[],[f30,f22]) ).
fof(f22,plain,
~ subset(sK0,set_difference(sK1,singleton(sK2))),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ~ subset(sK0,set_difference(sK1,singleton(sK2)))
& ~ in(sK2,sK0)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f10,f14]) ).
fof(f14,plain,
( ? [X0,X1,X2] :
( ~ subset(X0,set_difference(X1,singleton(X2)))
& ~ in(X2,X0)
& subset(X0,X1) )
=> ( ~ subset(sK0,set_difference(sK1,singleton(sK2)))
& ~ in(sK2,sK0)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0,X1,X2] :
( ~ subset(X0,set_difference(X1,singleton(X2)))
& ~ in(X2,X0)
& subset(X0,X1) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
? [X0,X1,X2] :
( ~ subset(X0,set_difference(X1,singleton(X2)))
& ~ in(X2,X0)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_zfmisc_1) ).
fof(f30,plain,
subset(sK0,set_difference(sK1,singleton(sK2))),
inference(resolution,[],[f28,f21]) ).
fof(f21,plain,
~ in(sK2,sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f28,plain,
! [X0] :
( in(X0,sK0)
| subset(sK0,set_difference(sK1,singleton(X0))) ),
inference(resolution,[],[f25,f20]) ).
fof(f20,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| in(X2,X0)
| subset(X0,set_difference(X1,singleton(X2))) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X0,X1,X2] :
( subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET899+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 01:44:13 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (11315)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (11316)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (11317)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (11318)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)
% 0.15/0.37 % (11319)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (11320)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (11322)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)
% 0.15/0.37 % (11321)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 % (11320)First to succeed.
% 0.15/0.37 TRYING [2,1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2,1]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3,1]
% 0.15/0.37 TRYING [3,1]
% 0.15/0.37 % (11318)Also succeeded, but the first one will report.
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [4]
% 0.15/0.37 TRYING [4,1]
% 0.15/0.37 TRYING [4,1]
% 0.15/0.37 TRYING [4]
% 0.15/0.37 % (11321)Also succeeded, but the first one will report.
% 0.15/0.37 % (11320)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Theorem for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (11320)------------------------------
% 0.15/0.37 % (11320)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37 % (11320)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (11320)Memory used [KB]: 745
% 0.15/0.37 % (11320)Time elapsed: 0.003 s
% 0.15/0.37 % (11320)Instructions burned: 2 (million)
% 0.15/0.37 % (11320)------------------------------
% 0.15/0.37 % (11320)------------------------------
% 0.15/0.37 % (11315)Success in time 0.018 s
%------------------------------------------------------------------------------