TSTP Solution File: LCL101-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL101-1 : 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 13:40:29 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 17 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f614,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f613]) ).
fof(f613,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f598,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f112,f4]) ).
fof(f4,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p_1) ).
fof(f112,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))))
| ~ spl0_2 ),
inference(resolution,[],[f65,f34]) ).
fof(f34,plain,
( ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),equivalent(equivalent(X5,X0),equivalent(X5,X1)))))
| ~ spl0_2 ),
inference(resolution,[],[f23,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4) ).
fof(f23,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f20,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3))
| ~ is_a_theorem(X3) ),
inference(resolution,[],[f3,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f20,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1)))
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f17,f1]) ).
fof(f17,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl0_2
<=> ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f65,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X3,X1),equivalent(X3,X2))))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f36,f1]) ).
fof(f36,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))))
| ~ spl0_2 ),
inference(resolution,[],[f33,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_2) ).
fof(f33,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f23,f21]) ).
fof(f21,plain,
( ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f20,f7]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)))),
inference(resolution,[],[f5,f3]) ).
fof(f19,plain,
spl0_2,
inference(avatar_split_clause,[],[f10,f16]) ).
fof(f10,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
inference(resolution,[],[f7,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL101-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n018.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 Apr 29 22:52:43 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (9766)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (9770)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (9767)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (9768)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (9769)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)
% 0.14/0.38 % (9772)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (9771)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (9773)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 % (9772)First to succeed.
% 0.14/0.40 % (9769)Also succeeded, but the first one will report.
% 0.14/0.40 % (9772)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (9772)------------------------------
% 0.14/0.40 % (9772)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40 % (9772)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (9772)Memory used [KB]: 949
% 0.14/0.40 % (9772)Time elapsed: 0.022 s
% 0.14/0.40 % (9772)Instructions burned: 36 (million)
% 0.14/0.40 % (9772)------------------------------
% 0.14/0.40 % (9772)------------------------------
% 0.14/0.40 % (9766)Success in time 0.033 s
%------------------------------------------------------------------------------