TSTP Solution File: LCL076-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL076-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 13:40:23 EDT 2024
% Result : Unsatisfiable 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 13 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f380,plain,
$false,
inference(avatar_sat_refutation,[],[f292,f379]) ).
fof(f379,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f295,f6]) ).
fof(f6,axiom,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_40) ).
fof(f295,plain,
( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
| ~ spl0_5 ),
inference(resolution,[],[f286,f8]) ).
fof(f8,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),not(X0)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f4,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_49) ).
fof(f286,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl0_5
<=> ! [X0] : is_a_theorem(implies(not(not(X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f292,plain,
spl0_5,
inference(avatar_split_clause,[],[f241,f285]) ).
fof(f241,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[],[f69,f28]) ).
fof(f28,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
inference(resolution,[],[f24,f12]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),not(X2))))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[],[f5,f4]) ).
fof(f5,axiom,
! [X3,X4,X5] :
( ~ is_a_theorem(implies(X4,X5))
| ~ is_a_theorem(implies(X3,X4))
| is_a_theorem(implies(X3,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f24,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f12,f2]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X0),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f35,f2]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f15,f1]) ).
fof(f15,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_35) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL076-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:16:10 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (6382)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (6388)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (6384)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (6387)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (6386)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (6383)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (6385)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)
% 0.14/0.37 % (6389)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 % (6388)First to succeed.
% 0.20/0.39 % (6388)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (6388)------------------------------
% 0.20/0.39 % (6388)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.39 % (6388)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (6388)Memory used [KB]: 886
% 0.20/0.39 % (6388)Time elapsed: 0.018 s
% 0.20/0.39 % (6388)Instructions burned: 30 (million)
% 0.20/0.39 % (6388)------------------------------
% 0.20/0.39 % (6388)------------------------------
% 0.20/0.39 % (6382)Success in time 0.034 s
%------------------------------------------------------------------------------