TSTP Solution File: LCL004-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL004-1 : 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 : n003.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 07:43:45 EDT 2024
% Result : Unsatisfiable 2.84s 0.77s
% Output : Refutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 5 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 90 ( 45 ~; 42 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8772,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f89,f5844,f8771]) ).
fof(f8771,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f8770]) ).
fof(f8770,plain,
( $false
| ~ spl0_19 ),
inference(resolution,[],[f8675,f3]) ).
fof(f3,axiom,
~ is_a_theorem(or(not(a),or(b,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_3) ).
fof(f8675,plain,
( ! [X0,X1] : is_a_theorem(or(not(X0),or(X1,X0)))
| ~ spl0_19 ),
inference(resolution,[],[f5975,f5974]) ).
fof(f5974,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X0)))
| is_a_theorem(or(X2,X0)) )
| ~ spl0_19 ),
inference(factoring,[],[f5843]) ).
fof(f5843,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(or(not(or(not(X2),X3)),or(X1,X2)))
| ~ is_a_theorem(or(not(X0),or(X1,X2)))
| is_a_theorem(or(X1,X2)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f5842]) ).
fof(f5842,plain,
( spl0_19
<=> ! [X0,X3,X2,X1] :
( ~ is_a_theorem(or(not(X0),or(X1,X2)))
| is_a_theorem(or(X1,X2))
| ~ is_a_theorem(or(not(or(not(X2),X3)),or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f5975,plain,
( ! [X2,X0,X1] : is_a_theorem(or(not(or(not(X0),X1)),or(not(X1),or(X2,X1))))
| ~ spl0_19 ),
inference(resolution,[],[f5974,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(or(not(X0),X1)),or(X2,or(X3,X4)))),or(not(or(not(X3),X0)),or(X2,or(X4,X0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_CAMerideth) ).
fof(f5844,plain,
( spl0_3
| spl0_19
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f596,f70,f5842,f67]) ).
fof(f67,plain,
( spl0_3
<=> ! [X4] : ~ is_a_theorem(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f70,plain,
( spl0_4
<=> ! [X2,X0,X1,X3] :
( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X0)))
| is_a_theorem(or(X2,X0))
| ~ is_a_theorem(or(not(X3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f596,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(or(not(X0),or(X1,X2)))
| ~ is_a_theorem(or(not(or(not(X2),X3)),or(X1,X2)))
| is_a_theorem(or(X1,X2))
| ~ is_a_theorem(X4) )
| ~ spl0_4 ),
inference(resolution,[],[f91,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(or(not(X0),X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f91,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(or(X3,or(X1,X2)))
| ~ is_a_theorem(or(not(X0),or(X1,X2)))
| ~ is_a_theorem(or(not(or(not(X2),X4)),or(X1,X2))) )
| ~ spl0_4 ),
inference(resolution,[],[f71,f16]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X1))))
| ~ is_a_theorem(or(not(or(not(X1),X4)),or(X3,X1))) ),
inference(resolution,[],[f11,f2]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(or(not(or(not(X0),X4)),or(X2,or(X3,X1))))
| is_a_theorem(or(X2,or(X3,X1)))
| ~ is_a_theorem(or(not(X0),X1)) ),
inference(resolution,[],[f7,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X1))))
| ~ is_a_theorem(or(not(or(not(X1),X4)),or(X2,or(X0,X3)))) ),
inference(resolution,[],[f2,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(or(not(or(not(X1),X4)),or(X0,or(X2,X3))))
| ~ is_a_theorem(or(not(X3),X2))
| is_a_theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f5,f4]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X4))))
| is_a_theorem(or(X2,or(X4,X0)))
| ~ is_a_theorem(or(not(X3),X0)) ),
inference(resolution,[],[f4,f1]) ).
fof(f71,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X0)))
| ~ is_a_theorem(or(not(X3),X0))
| is_a_theorem(or(X2,X0)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f89,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f73,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f68,f2]) ).
fof(f68,plain,
( ! [X4] : ~ is_a_theorem(X4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f72,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f25,f70,f67]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X0)))
| ~ is_a_theorem(or(not(X3),X0))
| is_a_theorem(or(X2,X0))
| ~ is_a_theorem(X4) ),
inference(resolution,[],[f20,f1]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(or(X3,or(X2,X0)))
| ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X0)))
| ~ is_a_theorem(or(not(X4),X0)) ),
inference(resolution,[],[f16,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 13:35:35 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (15613)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (15617)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [3]
% 0.19/0.36 % (15614)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.36 % (15616)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)
% 0.19/0.36 % (15615)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.36 % (15618)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.36 % (15619)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.36 % (15620)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)
% 0.19/0.36 TRYING [1]
% 0.19/0.36 TRYING [1]
% 0.19/0.36 TRYING [2]
% 0.19/0.36 TRYING [1]
% 0.19/0.36 TRYING [2]
% 0.19/0.36 TRYING [2]
% 0.19/0.37 TRYING [3]
% 0.19/0.37 TRYING [3]
% 0.19/0.37 TRYING [3]
% 0.19/0.41 TRYING [4]
% 0.19/0.44 TRYING [4]
% 0.19/0.44 TRYING [4]
% 0.19/0.44 TRYING [4]
% 2.84/0.76 % (15616)First to succeed.
% 2.84/0.76 % (15616)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15613"
% 2.84/0.77 % (15616)Refutation found. Thanks to Tanya!
% 2.84/0.77 % SZS status Unsatisfiable for theBenchmark
% 2.84/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 3.06/0.77 % (15616)------------------------------
% 3.06/0.77 % (15616)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.06/0.77 % (15616)Termination reason: Refutation
% 3.06/0.77
% 3.06/0.77 % (15616)Memory used [KB]: 5930
% 3.06/0.77 % (15616)Time elapsed: 0.404 s
% 3.06/0.77 % (15616)Instructions burned: 1420 (million)
% 3.06/0.77 % (15613)Success in time 0.408 s
%------------------------------------------------------------------------------