TSTP Solution File: LCL112-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL112-1 : 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 07:44:05 EDT 2024
% Result : Unsatisfiable 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 23 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,plain,
$false,
inference(avatar_sat_refutation,[],[f136,f166,f189]) ).
fof(f189,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f172]) ).
fof(f172,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f46,f61]) ).
fof(f61,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f19,f2]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_1) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X2),not(X1))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f14,f5]) ).
fof(f5,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_5) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f11,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f11,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_2) ).
fof(f46,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_1
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f166,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f165,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f145,f6]) ).
fof(f6,axiom,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_29) ).
fof(f145,plain,
( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
| ~ spl0_6 ),
inference(resolution,[],[f135,f8]) ).
fof(f8,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),not(X0)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f5,f1]) ).
fof(f135,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl0_6
<=> ! [X0] : is_a_theorem(implies(not(not(X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f136,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f126,f134,f45]) ).
fof(f126,plain,
! [X0,X1] :
( is_a_theorem(implies(not(not(X0)),X0))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f70,f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X2,X1)))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f14,f15]) ).
fof(f15,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f12,f7]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f1,f2]) ).
fof(f12,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X0),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_3) ).
fof(f70,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
inference(resolution,[],[f61,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LCL112-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 13:12:04 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (29788)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (29795)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)
% 0.11/0.33 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 % (29790)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (29792)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34 % (29789)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (29794)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 % (29793)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (29791)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)
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 % (29794)First to succeed.
% 0.11/0.34 % (29794)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29788"
% 0.11/0.34 TRYING [4]
% 0.16/0.34 TRYING [4]
% 0.16/0.34 TRYING [4]
% 0.16/0.34 TRYING [4]
% 0.16/0.34 % (29794)Refutation found. Thanks to Tanya!
% 0.16/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.34 % (29794)------------------------------
% 0.16/0.34 % (29794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.34 % (29794)Termination reason: Refutation
% 0.16/0.34
% 0.16/0.34 % (29794)Memory used [KB]: 790
% 0.16/0.34 % (29794)Time elapsed: 0.008 s
% 0.16/0.34 % (29794)Instructions burned: 12 (million)
% 0.16/0.34 % (29788)Success in time 0.022 s
%------------------------------------------------------------------------------