TSTP Solution File: GEO524+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GEO524+1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n028.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 : Mon Jun 24 06:27:44 EDT 2024
% Result : Theorem 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 63 ( 42 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 28 ~; 22 |; 8 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 29 ( 21 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f250,plain,
$false,
inference(avatar_sat_refutation,[],[f239,f244,f246,f249]) ).
fof(f249,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f248,plain,
( $false
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f247]) ).
fof(f247,plain,
( sK2 != sK2
| ~ spl4_3 ),
inference(superposition,[],[f215,f237]) ).
fof(f237,plain,
( sK2 = sK3
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl4_3
<=> sK2 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f215,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( sK2 != sK3
& reflect(sK0,sK1,sK2) = reflect(sK0,sK1,sK3)
& sK0 != sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f210,f211]) ).
fof(f211,plain,
( ? [X0,X1,X2,X3] :
( X2 != X3
& reflect(X0,X1,X2) = reflect(X0,X1,X3)
& X0 != X1 )
=> ( sK2 != sK3
& reflect(sK0,sK1,sK2) = reflect(sK0,sK1,sK3)
& sK0 != sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
? [X0,X1,X2,X3] :
( X2 != X3
& reflect(X0,X1,X2) = reflect(X0,X1,X3)
& X0 != X1 ),
inference(ennf_transformation,[],[f206]) ).
fof(f206,plain,
~ ! [X0,X1,X2,X3] :
( X2 = X3
| reflect(X0,X1,X2) != reflect(X0,X1,X3)
| X0 = X1 ),
inference(rectify,[],[f190]) ).
fof(f190,negated_conjecture,
~ ! [X11,X14,X12,X15] :
( X12 = X15
| reflect(X11,X14,X12) != reflect(X11,X14,X15)
| X11 = X14 ),
inference(negated_conjecture,[],[f189]) ).
fof(f189,conjecture,
! [X11,X14,X12,X15] :
( X12 = X15
| reflect(X11,X14,X12) != reflect(X11,X14,X15)
| X11 = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f246,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f245,f227,f223]) ).
fof(f223,plain,
( spl4_1
<=> sK0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f227,plain,
( spl4_2
<=> sK3 = reflect(sK0,sK1,reflect(sK0,sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f245,plain,
( sK3 = reflect(sK0,sK1,reflect(sK0,sK1,sK2))
| sK0 = sK1 ),
inference(superposition,[],[f218,f214]) ).
fof(f214,plain,
reflect(sK0,sK1,sK2) = reflect(sK0,sK1,sK3),
inference(cnf_transformation,[],[f212]) ).
fof(f218,plain,
! [X2,X0,X1] :
( reflect(X0,X1,reflect(X0,X1,X2)) = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2] :
( reflect(X0,X1,reflect(X0,X1,X2)) = X2
| X0 = X1 ),
inference(rectify,[],[f187]) ).
fof(f187,axiom,
! [X11,X14,X12] :
( reflect(X11,X14,reflect(X11,X14,X12)) = X12
| X11 = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f244,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f242]) ).
fof(f242,plain,
( sK0 != sK0
| ~ spl4_1 ),
inference(superposition,[],[f213,f225]) ).
fof(f225,plain,
( sK0 = sK1
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f213,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f212]) ).
fof(f239,plain,
( spl4_1
| spl4_3
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f232,f227,f235,f223]) ).
fof(f232,plain,
( sK2 = sK3
| sK0 = sK1
| ~ spl4_2 ),
inference(superposition,[],[f218,f229]) ).
fof(f229,plain,
( sK3 = reflect(sK0,sK1,reflect(sK0,sK1,sK2))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO524+1 : TPTP v8.2.0. Released v7.0.0.
% 0.06/0.11 % Command : run_vampire %s %d THM
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Fri Jun 21 08:48:38 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.33 Running first-order theorem proving
% 0.16/0.33 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39 % (11574)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (11579)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.18/0.40 % (11574)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40 % (11575)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.18/0.40 % (11574)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40 % (11576)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.18/0.40 % (11574)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40 % (11578)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.18/0.40 % (11574)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40 % (11580)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.18/0.40 % (11580)First to succeed.
% 0.18/0.40 % (11576)Also succeeded, but the first one will report.
% 0.18/0.40 % (11574)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40 % (11581)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.18/0.41 % (11580)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11574"
% 0.18/0.41 % (11574)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (11580)Refutation found. Thanks to Tanya!
% 0.18/0.41 % SZS status Theorem for theBenchmark
% 0.18/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.41 % (11580)------------------------------
% 0.18/0.41 % (11580)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.41 % (11580)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.41 % (11580)Termination reason: Refutation
% 0.18/0.41
% 0.18/0.41 % (11580)Memory used [KB]: 1378
% 0.18/0.41 % (11580)Time elapsed: 0.005 s
% 0.18/0.41 % (11580)Instructions burned: 5 (million)
% 0.18/0.41 % (11580)------------------------------
% 0.18/0.41 % (11580)------------------------------
% 0.18/0.41 % (11574)Success in time 0.067 s
%------------------------------------------------------------------------------