TSTP Solution File: SYO012_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO012_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n025.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 : Fri Sep 1 04:59:32 EDT 2023
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 67 ( 8 unt; 3 typ; 0 def)
% Number of atoms : 292 ( 55 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 180 ( 69 ~; 79 |; 15 &)
% ( 14 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 131 ( 117 fml; 14 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 7 (; 7 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
bG0: $o ).
tff(func_def_3,type,
bG1: $o ).
tff(pred_def_3,type,
p: $o > $o ).
tff(f95,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f34,f35,f40,f41,f42,f46,f51,f56,f61,f74,f79,f84,f89,f90,f91,f92,f93,f94]) ).
tff(f94,plain,
( ( $true != bG1 )
| ( $false != bG1 )
| ( $true = $false ) ),
introduced(theory_tautology_sat_conflict,[]) ).
tff(f93,plain,
( ( $true != bG0 )
| ( $true != bG1 )
| ( $false != bG1 )
| ( $false = bG0 ) ),
introduced(theory_tautology_sat_conflict,[]) ).
tff(f92,plain,
( ( $true != bG0 )
| ( $true != bG1 )
| ~ p(bG0)
| p(bG1) ),
introduced(theory_tautology_sat_conflict,[]) ).
tff(f91,plain,
( ( $false != bG0 )
| ( $false != bG1 )
| ~ p(bG0)
| p(bG1) ),
introduced(theory_tautology_sat_conflict,[]) ).
tff(f90,plain,
( spl2_12
| spl2_11
| ~ spl2_5
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f67,f58,f44,f81,f86]) ).
tff(f86,plain,
( spl2_12
<=> ( $false = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
tff(f81,plain,
( spl2_11
<=> p($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
tff(f44,plain,
( spl2_5
<=> ! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
tff(f58,plain,
( spl2_8
<=> p(bG0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
tff(f67,plain,
( p($true)
| ( $false = bG0 )
| ~ spl2_5
| ~ spl2_8 ),
inference(superposition,[],[f60,f45]) ).
tff(f45,plain,
( ! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f44]) ).
tff(f60,plain,
( p(bG0)
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f58]) ).
tff(f89,plain,
( spl2_12
| spl2_4
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f69,f44,f37,f86]) ).
tff(f37,plain,
( spl2_4
<=> ( $true = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f69,plain,
( ( $false = bG0 )
| spl2_4
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f66]) ).
tff(f66,plain,
( ( $true != $true )
| ( $false = bG0 )
| spl2_4
| ~ spl2_5 ),
inference(superposition,[],[f39,f45]) ).
tff(f39,plain,
( ( $true != bG0 )
| spl2_4 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f84,plain,
( spl2_10
| ~ spl2_11
| ~ spl2_5
| spl2_7 ),
inference(avatar_split_clause,[],[f65,f53,f44,f81,f76]) ).
tff(f76,plain,
( spl2_10
<=> ( $false = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
tff(f53,plain,
( spl2_7
<=> p(bG1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
tff(f65,plain,
( ~ p($true)
| ( $false = bG1 )
| ~ spl2_5
| spl2_7 ),
inference(superposition,[],[f55,f45]) ).
tff(f55,plain,
( ~ p(bG1)
| spl2_7 ),
inference(avatar_component_clause,[],[f53]) ).
tff(f79,plain,
( spl2_10
| spl2_1
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f70,f44,f22,f76]) ).
tff(f22,plain,
( spl2_1
<=> ( $true = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f70,plain,
( ( $false = bG1 )
| spl2_1
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f64]) ).
tff(f64,plain,
( ( $true != $true )
| ( $false = bG1 )
| spl2_1
| ~ spl2_5 ),
inference(superposition,[],[f24,f45]) ).
tff(f24,plain,
( ( $true != bG1 )
| spl2_1 ),
inference(avatar_component_clause,[],[f22]) ).
tff(f74,plain,
( spl2_9
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f62,f44,f72]) ).
tff(f72,plain,
( spl2_9
<=> ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
tff(f62,plain,
( ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) )
| ~ spl2_5 ),
inference(superposition,[],[f45,f45]) ).
tff(f61,plain,
spl2_8,
inference(avatar_split_clause,[],[f19,f58]) ).
tff(f19,plain,
p(bG0),
inference(cnf_transformation,[],[f8]) ).
tff(f8,plain,
( ~ p(bG1)
& p(bG0) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( p(bG0)
=> p(bG1) ),
inference(fool_elimination,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( p(( b
& a ))
=> p(( a
& b )) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( p(( b
& a ))
=> p(( a
& b )) ),
file('/export/starexec/sandbox/tmp/tmp.EkTGhhUgcy/Vampire---4.8_10617',conj) ).
tff(f56,plain,
~ spl2_7,
inference(avatar_split_clause,[],[f20,f53]) ).
tff(f20,plain,
~ p(bG1),
inference(cnf_transformation,[],[f8]) ).
tff(f51,plain,
~ spl2_6,
inference(avatar_split_clause,[],[f3,f48]) ).
tff(f48,plain,
( spl2_6
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
tff(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
tff(f46,plain,
spl2_5,
inference(avatar_split_clause,[],[f4,f44]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f42,plain,
( ~ spl2_2
| ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f16,f37,f31,f26]) ).
tff(f26,plain,
( spl2_2
<=> a ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f31,plain,
( spl2_3
<=> b ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f16,plain,
( ( $true = bG0 )
| ~ b
| ~ a ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
( ( ( b
& a )
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ b
| ~ a ) ),
inference(flattening,[],[f11]) ).
tff(f11,plain,
( ( ( b
& a )
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ b
| ~ a ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f5,plain,
( ( b
& a )
<=> ( $true = bG0 ) ),
inference(fool_elimination,[],[f2]) ).
tff(f41,plain,
( ~ spl2_4
| spl2_2 ),
inference(avatar_split_clause,[],[f17,f26,f37]) ).
tff(f17,plain,
( a
| ( $true != bG0 ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f40,plain,
( ~ spl2_4
| spl2_3 ),
inference(avatar_split_clause,[],[f18,f31,f37]) ).
tff(f18,plain,
( b
| ( $true != bG0 ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f35,plain,
( ~ spl2_3
| ~ spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f13,f22,f26,f31]) ).
tff(f13,plain,
( ( $true = bG1 )
| ~ a
| ~ b ),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
( ( ( a
& b )
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ a
| ~ b ) ),
inference(flattening,[],[f9]) ).
tff(f9,plain,
( ( ( a
& b )
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ a
| ~ b ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f6,plain,
( ( a
& b )
<=> ( $true = bG1 ) ),
inference(fool_elimination,[],[f2]) ).
tff(f34,plain,
( ~ spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f14,f31,f22]) ).
tff(f14,plain,
( b
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f10]) ).
tff(f29,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f15,f26,f22]) ).
tff(f15,plain,
( a
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO012_8 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 05:04:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TX0_THM_NEQ_NAR problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.EkTGhhUgcy/Vampire---4.8_10617
% 0.14/0.36 % (10724)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (10725)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.21/0.42 % (10727)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.21/0.42 % (10729)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.42 % (10728)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42 % (10726)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.42 % (10730)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.42 % (10725)First to succeed.
% 0.21/0.42 % (10727)Also succeeded, but the first one will report.
% 0.21/0.42 % (10726)Also succeeded, but the first one will report.
% 0.21/0.42 % (10725)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for Vampire---4
% 0.21/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42 % (10725)------------------------------
% 0.21/0.42 % (10725)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (10725)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (10725)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (10725)Memory used [KB]: 5373
% 0.21/0.42 % (10725)Time elapsed: 0.005 s
% 0.21/0.42 % (10725)------------------------------
% 0.21/0.42 % (10725)------------------------------
% 0.21/0.42 % (10724)Success in time 0.064 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------