TSTP Solution File: LCL368-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL368-1 : TPTP v8.2.0. Released v2.3.0.
% 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 : Tue May 21 00:26:20 EDT 2024
% Result : Unsatisfiable 4.80s 1.11s
% Output : Refutation 4.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 57 ( 16 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 107 ( 55 ~; 51 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 142 ( 142 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24522,plain,
$false,
inference(avatar_sat_refutation,[],[f1953,f24506]) ).
fof(f24506,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f24503]) ).
fof(f24503,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f23426,f16864]) ).
fof(f16864,plain,
~ is_a_theorem(implies(x,implies(implies(x,z),z))),
inference(resolution,[],[f1574,f18]) ).
fof(f18,plain,
~ is_a_theorem(implies(implies(y,implies(x,z)),implies(x,implies(y,z)))),
inference(resolution,[],[f8,f5]) ).
fof(f5,axiom,
~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_23) ).
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(f1574,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f337,f1]) ).
fof(f337,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(resolution,[],[f59,f2]) ).
fof(f59,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,[],[f22,f2]) ).
fof(f22,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(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(f23426,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl0_13 ),
inference(resolution,[],[f21546,f17058]) ).
fof(f17058,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0)))
| ~ spl0_13 ),
inference(resolution,[],[f16945,f1624]) ).
fof(f1624,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,[],[f347,f1]) ).
fof(f347,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,[],[f59,f27]) ).
fof(f27,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f20,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(f20,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(f16945,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1)))
| ~ spl0_13 ),
inference(resolution,[],[f1624,f8047]) ).
fof(f8047,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1))
| ~ spl0_13 ),
inference(resolution,[],[f6156,f482]) ).
fof(f482,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1)))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl0_13
<=> ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f6156,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X2),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f771,f8]) ).
fof(f771,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f39,f252]) ).
fof(f252,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f211,f27]) ).
fof(f211,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f204,f20]) ).
fof(f204,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f66,f4]) ).
fof(f66,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,[],[f22,f7]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f4]) ).
fof(f39,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,[],[f25,f19]) ).
fof(f25,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X1),X0)) ),
inference(resolution,[],[f20,f8]) ).
fof(f21546,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_13 ),
inference(resolution,[],[f18210,f6155]) ).
fof(f6155,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f771,f363]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X3),implies(X0,X3))))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f60,f2]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
| is_a_theorem(implies(X0,implies(implies(X4,X2),X3)))
| ~ is_a_theorem(implies(X1,X4)) ),
inference(resolution,[],[f22,f8]) ).
fof(f18210,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,implies(X2,X1)),X0))
| is_a_theorem(X0) )
| ~ spl0_13 ),
inference(resolution,[],[f17900,f1534]) ).
fof(f1534,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f699,f1]) ).
fof(f699,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f144,f20]) ).
fof(f144,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(not(X0),X0),implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f30,f3]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,implies(not(X1),X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f23,f19]) ).
fof(f23,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f19,f4]) ).
fof(f17900,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))
| ~ spl0_13 ),
inference(resolution,[],[f17703,f211]) ).
fof(f17703,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ spl0_13 ),
inference(resolution,[],[f17643,f62]) ).
fof(f62,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,[],[f22,f4]) ).
fof(f17643,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0)))
| ~ spl0_13 ),
inference(resolution,[],[f17058,f195]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f179,f1]) ).
fof(f179,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f62,f27]) ).
fof(f1953,plain,
spl0_13,
inference(avatar_split_clause,[],[f1944,f481]) ).
fof(f1944,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f227,f239]) ).
fof(f239,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[],[f211,f3]) ).
fof(f227,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,[],[f44,f3]) ).
fof(f44,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,[],[f21,f1]) ).
fof(f21,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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : LCL368-1 : TPTP v8.2.0. Released v2.3.0.
% 0.12/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 02:33:38 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (20912)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (20918)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 % (20917)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % (20913)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (20916)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 % (20914)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [3]
% 0.14/0.41 % (20915)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)
% 0.14/0.41 TRYING [2]
% 0.14/0.41 % (20919)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)
% 0.14/0.41 TRYING [3]
% 0.14/0.41 TRYING [1]
% 0.14/0.41 TRYING [2]
% 0.14/0.41 TRYING [4]
% 0.14/0.41 TRYING [3]
% 0.14/0.42 TRYING [4]
% 0.14/0.43 TRYING [4]
% 1.93/0.65 TRYING [5]
% 2.03/0.66 TRYING [5]
% 2.38/0.73 TRYING [5]
% 2.38/0.74 TRYING [5]
% 4.80/1.11 % (20918)First to succeed.
% 4.80/1.11 % (20918)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20912"
% 4.80/1.11 % (20918)Refutation found. Thanks to Tanya!
% 4.80/1.11 % SZS status Unsatisfiable for theBenchmark
% 4.80/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 4.80/1.11 % (20918)------------------------------
% 4.80/1.11 % (20918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.80/1.11 % (20918)Termination reason: Refutation
% 4.80/1.11
% 4.80/1.11 % (20918)Memory used [KB]: 8403
% 4.80/1.11 % (20918)Time elapsed: 0.733 s
% 4.80/1.11 % (20918)Instructions burned: 2218 (million)
% 4.80/1.11 % (20912)Success in time 0.728 s
%------------------------------------------------------------------------------