TSTP Solution File: SWC026+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC026+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n023.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 : Wed Aug 31 18:38:17 EDT 2022
% Result : Theorem 1.70s 0.58s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 3 unt; 0 def)
% Number of atoms : 119 ( 100 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 147 ( 52 ~; 45 |; 39 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 24 ( 12 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f129,plain,
$false,
inference(avatar_sat_refutation,[],[f125,f126,f127,f128]) ).
fof(f128,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f115,f122,f118]) ).
fof(f118,plain,
( spl4_1
<=> nil = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f122,plain,
( spl4_2
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f115,plain,
( nil != sK2
| nil = sK0 ),
inference(definition_unfolding,[],[f106,f107]) ).
fof(f107,plain,
sK1 = sK2,
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( ( nil != sK2
& nil = sK3 )
| ( nil = sK2
& nil != sK3 ) )
& sK1 = sK2
& ( nil != sK1
| nil = sK0 )
& sK3 = sK0
& ( nil != sK0
| nil = sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f101,f102]) ).
fof(f102,plain,
( ? [X0,X1,X2,X3] :
( ( ( nil != X2
& nil = X3 )
| ( nil = X2
& nil != X3 ) )
& X1 = X2
& ( nil != X1
| nil = X0 )
& X0 = X3
& ( nil != X0
| nil = X1 ) )
=> ( ( ( nil != sK2
& nil = sK3 )
| ( nil = sK2
& nil != sK3 ) )
& sK1 = sK2
& ( nil != sK1
| nil = sK0 )
& sK3 = sK0
& ( nil != sK0
| nil = sK1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
? [X0,X1,X2,X3] :
( ( ( nil != X2
& nil = X3 )
| ( nil = X2
& nil != X3 ) )
& X1 = X2
& ( nil != X1
| nil = X0 )
& X0 = X3
& ( nil != X0
| nil = X1 ) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
? [X2,X3,X1,X0] :
( ( ( nil != X1
& nil = X0 )
| ( nil = X1
& nil != X0 ) )
& X1 = X3
& ( nil != X3
| nil = X2 )
& X0 = X2
& ( nil != X2
| nil = X3 ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0,X1,X2,X3] :
( ( ( nil != X0
| nil = X1 )
& ( nil != X1
| nil = X0 ) )
| X1 != X3
| ( nil != X2
& nil = X3 )
| X0 != X2
| ( nil != X3
& nil = X2 ) ),
inference(pure_predicate_removal,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X0
| nil = X1 )
& ( nil != X1
| nil = X0 ) )
| X1 != X3
| ( nil != X2
& nil = X3 )
| X0 != X2
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X0
| nil = X1 )
& ( nil != X1
| nil = X0 ) )
| X1 != X3
| ( nil != X2
& nil = X3 )
| X0 != X2
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f106,plain,
( nil != sK1
| nil = sK0 ),
inference(cnf_transformation,[],[f103]) ).
fof(f127,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f112,f122,f118]) ).
fof(f112,plain,
( nil != sK2
| nil != sK0 ),
inference(definition_unfolding,[],[f110,f105]) ).
fof(f105,plain,
sK3 = sK0,
inference(cnf_transformation,[],[f103]) ).
fof(f110,plain,
( nil != sK2
| nil != sK3 ),
inference(cnf_transformation,[],[f103]) ).
fof(f126,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f113,f122,f118]) ).
fof(f113,plain,
( nil = sK2
| nil = sK0 ),
inference(definition_unfolding,[],[f109,f105]) ).
fof(f109,plain,
( nil = sK3
| nil = sK2 ),
inference(cnf_transformation,[],[f103]) ).
fof(f125,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f116,f122,f118]) ).
fof(f116,plain,
( nil = sK2
| nil != sK0 ),
inference(definition_unfolding,[],[f104,f107]) ).
fof(f104,plain,
( nil != sK0
| nil = sK1 ),
inference(cnf_transformation,[],[f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC026+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.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 : Tue Aug 30 18:20:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.39/0.56 % (23436)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.39/0.57 % (23436)First to succeed.
% 1.39/0.57 % (23458)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.70/0.58 % (23436)Refutation found. Thanks to Tanya!
% 1.70/0.58 % SZS status Theorem for theBenchmark
% 1.70/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.58 % (23436)------------------------------
% 1.70/0.58 % (23436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (23436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (23436)Termination reason: Refutation
% 1.70/0.58
% 1.70/0.58 % (23436)Memory used [KB]: 6012
% 1.70/0.58 % (23436)Time elapsed: 0.005 s
% 1.70/0.58 % (23436)Instructions burned: 2 (million)
% 1.70/0.58 % (23436)------------------------------
% 1.70/0.58 % (23436)------------------------------
% 1.70/0.58 % (23434)Success in time 0.223 s
%------------------------------------------------------------------------------