TSTP Solution File: SWC362+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC362+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 : 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 : Wed Aug 31 18:40:42 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 64 ( 10 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 70 ( 23 ~; 17 |; 20 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 16 ( 8 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f209,plain,
$false,
inference(avatar_sat_refutation,[],[f205,f207,f208]) ).
fof(f208,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f186,f201,f197]) ).
fof(f197,plain,
( spl10_1
<=> segmentP(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f201,plain,
( spl10_2
<=> neq(sK3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f186,plain,
( ~ neq(sK3,nil)
| ~ segmentP(sK3,sK2) ),
inference(definition_unfolding,[],[f142,f148,f150]) ).
fof(f150,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& ssList(X3)
& X1 = X3
& ( ( neq(X1,nil)
& ~ neq(X3,nil) )
| ( ~ segmentP(X1,X0)
& neq(X1,nil)
& segmentP(X3,X2) ) ) )
& ssList(X2) )
& ssList(X1) ) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& ( ( neq(X1,nil)
& ~ neq(X3,nil) )
| ( ~ segmentP(X1,X0)
& neq(X1,nil)
& segmentP(X3,X2) ) )
& X0 = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| ( ( ~ segmentP(X3,X2)
| segmentP(X1,X0)
| ~ neq(X1,nil) )
& ( neq(X3,nil)
| ~ neq(X1,nil) ) )
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| ( ( ~ segmentP(X3,X2)
| segmentP(X1,X0)
| ~ neq(X1,nil) )
& ( neq(X3,nil)
| ~ neq(X1,nil) ) )
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f148,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f121]) ).
fof(f142,plain,
( ~ segmentP(sK1,sK0)
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f121]) ).
fof(f207,plain,
spl10_2,
inference(avatar_split_clause,[],[f183,f201]) ).
fof(f183,plain,
neq(sK3,nil),
inference(definition_unfolding,[],[f145,f148]) ).
fof(f145,plain,
neq(sK1,nil),
inference(cnf_transformation,[],[f121]) ).
fof(f205,plain,
( ~ spl10_2
| spl10_1 ),
inference(avatar_split_clause,[],[f146,f197,f201]) ).
fof(f146,plain,
( segmentP(sK3,sK2)
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC362+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 18:51:18 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.47 % (23468)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.47 % (23460)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.49 % (23468)First to succeed.
% 0.18/0.50 % (23468)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (23468)------------------------------
% 0.18/0.50 % (23468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (23468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (23468)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (23468)Memory used [KB]: 6012
% 0.18/0.50 % (23468)Time elapsed: 0.007 s
% 0.18/0.50 % (23468)Instructions burned: 4 (million)
% 0.18/0.50 % (23468)------------------------------
% 0.18/0.50 % (23468)------------------------------
% 0.18/0.50 % (23459)Success in time 0.165 s
%------------------------------------------------------------------------------