TSTP Solution File: LCL381-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL381-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 13:41:52 EDT 2024
% Result : Unsatisfiable 4.98s 1.11s
% Output : Refutation 4.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 17 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 113 ( 57 ~; 53 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 140 ( 140 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20171,plain,
$false,
inference(avatar_sat_refutation,[],[f11488,f18032,f20083,f20170]) ).
fof(f20170,plain,
~ spl0_325,
inference(avatar_contradiction_clause,[],[f20099]) ).
fof(f20099,plain,
( $false
| ~ spl0_325 ),
inference(resolution,[],[f20079,f20]) ).
fof(f20,plain,
~ is_a_theorem(implies(not(not(x)),x)),
inference(resolution,[],[f18,f8]) ).
fof(f8,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f2,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(f2,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',cn_1) ).
fof(f18,plain,
~ is_a_theorem(implies(implies(x,y),implies(not(not(x)),y))),
inference(resolution,[],[f8,f5]) ).
fof(f5,axiom,
~ is_a_theorem(implies(implies(implies(not(not(x)),y),z),implies(implies(x,y),z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_42) ).
fof(f20079,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f20078]) ).
fof(f20078,plain,
( spl0_325
<=> ! [X0] : is_a_theorem(implies(not(not(X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f20083,plain,
( spl0_325
| ~ spl0_189
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f19919,f15722,f9610,f20078]) ).
fof(f9610,plain,
( spl0_189
<=> ! [X2,X1] : is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f15722,plain,
( spl0_281
<=> ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f19919,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl0_189
| ~ spl0_281 ),
inference(resolution,[],[f18698,f14459]) ).
fof(f14459,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),not(not(X0))),X0))
| ~ spl0_189 ),
inference(resolution,[],[f14221,f559]) ).
fof(f559,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(not(X1)),X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f99,f4]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X2,implies(X1,X0))) ),
inference(resolution,[],[f27,f19]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f8,f1]) ).
fof(f27,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X1),X0)) ),
inference(resolution,[],[f21,f8]) ).
fof(f21,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f19,f3]) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f14221,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0)))
| ~ spl0_189 ),
inference(resolution,[],[f14109,f1147]) ).
fof(f1147,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f284,f1]) ).
fof(f284,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[],[f58,f29]) ).
fof(f29,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f21,f4]) ).
fof(f58,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,X2)),X4)))
| is_a_theorem(implies(X0,implies(implies(X3,X1),X4))) ),
inference(resolution,[],[f23,f2]) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X0,implies(X3,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f19,f8]) ).
fof(f14109,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1)))
| ~ spl0_189 ),
inference(resolution,[],[f1147,f9611]) ).
fof(f9611,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),X2))
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f9610]) ).
fof(f18698,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_281 ),
inference(resolution,[],[f15723,f1]) ).
fof(f15723,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f15722]) ).
fof(f18032,plain,
( spl0_281
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f15501,f9610,f15722]) ).
fof(f15501,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl0_189 ),
inference(resolution,[],[f15261,f212]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(X2,X0)),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f53,f3]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f22,f1]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X3,X1))) ),
inference(resolution,[],[f19,f2]) ).
fof(f15261,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(not(implies(X0,implies(X1,X0))),X2))
| ~ spl0_189 ),
inference(resolution,[],[f14722,f706]) ).
fof(f706,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(not(implies(X0,X1)),X2)) ),
inference(resolution,[],[f140,f3]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(not(implies(X0,X2)),X3))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f33,f1]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X1)),X3)))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f24,f8]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(resolution,[],[f19,f4]) ).
fof(f14722,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(not(implies(X1,X0)),X2)))
| ~ spl0_189 ),
inference(resolution,[],[f14506,f24]) ).
fof(f14506,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ spl0_189 ),
inference(resolution,[],[f14450,f61]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))
| is_a_theorem(implies(X0,implies(X1,X3))) ),
inference(resolution,[],[f23,f4]) ).
fof(f14450,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0)))
| ~ spl0_189 ),
inference(resolution,[],[f14221,f339]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f167,f1]) ).
fof(f167,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f61,f29]) ).
fof(f11488,plain,
spl0_189,
inference(avatar_split_clause,[],[f9331,f9610]) ).
fof(f9331,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(resolution,[],[f8554,f1329]) ).
fof(f1329,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f571,f788]) ).
fof(f788,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f160,f28]) ).
fof(f28,plain,
! [X0] : is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
inference(resolution,[],[f21,f3]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X2),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f61,f8]) ).
fof(f571,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X2,X1)))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f99,f194]) ).
fof(f194,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f187,f21]) ).
fof(f187,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f65,f4]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(not(X3),X2)))
| ~ is_a_theorem(X3) ),
inference(resolution,[],[f23,f7]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f4]) ).
fof(f8554,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(resolution,[],[f706,f31]) ).
fof(f31,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(not(X0),X1))),
inference(resolution,[],[f24,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.15 % Problem : LCL381-1 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.17 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.38 % Computer : n005.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Mon Apr 29 22:45:26 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.38 % (19376)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (19381)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.40 % (19377)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.40 % (19382)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.40 % (19379)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)
% 0.14/0.40 % (19378)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40 % (19383)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)
% 0.14/0.40 % (19380)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [3]
% 0.14/0.41 TRYING [4]
% 0.14/0.41 TRYING [4]
% 0.14/0.41 TRYING [4]
% 0.14/0.41 TRYING [4]
% 0.22/0.55 TRYING [5]
% 0.22/0.55 TRYING [5]
% 1.34/0.56 TRYING [5]
% 1.34/0.56 TRYING [5]
% 4.98/1.10 % (19382)First to succeed.
% 4.98/1.11 % (19382)Refutation found. Thanks to Tanya!
% 4.98/1.11 % SZS status Unsatisfiable for theBenchmark
% 4.98/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 4.98/1.11 % (19382)------------------------------
% 4.98/1.11 % (19382)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.98/1.11 % (19382)Termination reason: Refutation
% 4.98/1.11
% 4.98/1.11 % (19382)Memory used [KB]: 7327
% 4.98/1.11 % (19382)Time elapsed: 0.705 s
% 4.98/1.11 % (19382)Instructions burned: 2118 (million)
% 4.98/1.11 % (19382)------------------------------
% 4.98/1.11 % (19382)------------------------------
% 4.98/1.11 % (19376)Success in time 0.72 s
%------------------------------------------------------------------------------