TSTP Solution File: LCL039-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL039-1 : 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 : n013.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 07:43:51 EDT 2024
% Result : Unsatisfiable 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 32 ~; 27 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1473,plain,
$false,
inference(avatar_sat_refutation,[],[f441,f795,f1472]) ).
fof(f1472,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f1471]) ).
fof(f1471,plain,
( $false
| ~ spl0_11 ),
inference(resolution,[],[f1184,f152]) ).
fof(f152,plain,
~ is_a_theorem(implies(a,not(necessary(not(a))))),
inference(resolution,[],[f151,f8]) ).
fof(f8,axiom,
~ is_a_theorem(implies(necessary(a),not(necessary(not(a))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f151,plain,
! [X0,X1] :
( is_a_theorem(implies(necessary(X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f74,f7]) ).
fof(f7,axiom,
! [X0] :
( is_a_theorem(necessary(X0))
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_of_necessitation) ).
fof(f74,plain,
! [X0,X1] :
( ~ is_a_theorem(necessary(implies(X0,X1)))
| is_a_theorem(implies(necessary(X0),X1)) ),
inference(resolution,[],[f49,f13]) ).
fof(f13,plain,
! [X0,X1] :
( is_a_theorem(implies(necessary(X0),necessary(X1)))
| ~ is_a_theorem(necessary(implies(X0,X1))) ),
inference(resolution,[],[f5,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(f5,axiom,
! [X0,X1] : is_a_theorem(implies(necessary(implies(X0,X1)),implies(necessary(X0),necessary(X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',necessitation1) ).
fof(f49,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,necessary(X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f24,f6]) ).
fof(f6,axiom,
! [X0] : is_a_theorem(implies(necessary(X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',necessitation2) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X2))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f19,f10]) ).
fof(f10,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f1,f2]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f16,f1]) ).
fof(f16,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) ).
fof(f1184,plain,
( ! [X0] : is_a_theorem(implies(X0,not(necessary(not(X0)))))
| ~ spl0_11 ),
inference(resolution,[],[f826,f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),not(X0)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f4,f1]) ).
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(f826,plain,
( ! [X0] : is_a_theorem(implies(not(not(necessary(X0))),X0))
| ~ spl0_11 ),
inference(resolution,[],[f794,f49]) ).
fof(f794,plain,
( ! [X1] : is_a_theorem(implies(not(not(X1)),X1))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f793,plain,
( spl0_11
<=> ! [X1] : is_a_theorem(implies(not(not(X1)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f795,plain,
( spl0_11
| spl0_1 ),
inference(avatar_split_clause,[],[f778,f37,f793]) ).
fof(f37,plain,
( spl0_1
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f778,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(not(X1)),X1)) ),
inference(resolution,[],[f133,f171]) ).
fof(f171,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f55,f2]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),not(X2))))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[],[f24,f4]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(not(X2),not(X0))))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f79,f24]) ).
fof(f79,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),not(X1)),X0))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f25,f10]) ).
fof(f25,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),not(X1)),X1))
| is_a_theorem(implies(implies(not(X0),not(X1)),X0)) ),
inference(resolution,[],[f19,f4]) ).
fof(f441,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f396]) ).
fof(f396,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f38,f2]) ).
fof(f38,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : LCL039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n013.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 13:20:04 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (20880)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34 % (20884)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.34 % (20887)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)
% 0.10/0.34 % (20886)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.34 % (20885)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.34 % (20882)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.34 % (20883)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)
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [3]
% 0.10/0.34 TRYING [3]
% 0.10/0.34 TRYING [3]
% 0.10/0.34 % (20881)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.34 TRYING [1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [3]
% 0.16/0.34 TRYING [4]
% 0.16/0.35 TRYING [4]
% 0.16/0.35 TRYING [4]
% 0.16/0.35 TRYING [4]
% 0.16/0.37 TRYING [5]
% 0.16/0.37 TRYING [5]
% 0.16/0.38 TRYING [5]
% 0.16/0.38 TRYING [5]
% 0.16/0.39 % (20886)First to succeed.
% 0.16/0.39 % (20886)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20880"
% 0.16/0.39 % (20886)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (20886)------------------------------
% 0.16/0.39 % (20886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39 % (20886)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (20886)Memory used [KB]: 1291
% 0.16/0.39 % (20886)Time elapsed: 0.056 s
% 0.16/0.39 % (20886)Instructions burned: 112 (million)
% 0.16/0.39 % (20880)Success in time 0.07 s
%------------------------------------------------------------------------------