TSTP Solution File: LCL082-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL082-1 : 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 : n018.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 13:40:25 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 20 ~; 17 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(avatar_sat_refutation,[],[f47,f83,f101,f107]) ).
fof(f107,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f106,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f100,f3]) ).
fof(f3,axiom,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_2) ).
fof(f100,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl0_6
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f101,plain,
( spl0_1
| spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f95,f81,f99,f13]) ).
fof(f13,plain,
( spl0_1
<=> ! [X2] : ~ is_a_theorem(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f81,plain,
( spl0_5
<=> ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f95,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ is_a_theorem(X2) )
| ~ spl0_5 ),
inference(resolution,[],[f84,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(f84,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))
| ~ spl0_5 ),
inference(resolution,[],[f82,f7]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X3,X1),implies(X4,X1)),implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(resolution,[],[f4,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
fof(f4,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f2,f1]) ).
fof(f82,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f76,f81,f13]) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
| ~ is_a_theorem(X3) ),
inference(resolution,[],[f50,f1]) ).
fof(f50,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(resolution,[],[f21,f2]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X4,implies(X2,X5)),implies(implies(X1,X2),implies(X3,X2))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[],[f6,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))),
inference(resolution,[],[f5,f4]) ).
fof(f47,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f35,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f14,f2]) ).
fof(f14,plain,
( ! [X2] : ~ is_a_theorem(X2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL082-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 23:03:13 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (12276)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (12281)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (12278)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (12279)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (12283)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (12284)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (12280)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (12285)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)
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (12284)First to succeed.
% 0.15/0.39 % (12280)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [4]
% 0.15/0.39 % (12284)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (12284)------------------------------
% 0.15/0.39 % (12284)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (12284)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (12284)Memory used [KB]: 782
% 0.15/0.39 % (12284)Time elapsed: 0.005 s
% 0.15/0.39 % (12284)Instructions burned: 6 (million)
% 0.15/0.39 % (12284)------------------------------
% 0.15/0.39 % (12284)------------------------------
% 0.15/0.39 % (12276)Success in time 0.021 s
%------------------------------------------------------------------------------