TSTP Solution File: SYO090^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO090^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 May 21 09:10:17 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 8 unt; 4 typ; 0 def)
% Number of atoms : 625 ( 176 equ)
% Maximal formula atoms : 26 ( 20 avg)
% Number of connectives : 417 ( 175 ~; 123 |; 112 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 352 ( 352 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 7 usr; 9 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
t: $o ).
tff(func_def_1,type,
s: $o ).
tff(func_def_2,type,
q: $o ).
tff(func_def_3,type,
p: $o ).
tff(f66,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f64,f65]) ).
tff(f65,plain,
spl1_1,
inference(avatar_split_clause,[],[f41,f56]) ).
tff(f56,plain,
( spl1_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f41,plain,
sP0,
inference(trivial_inequality_removal,[],[f40]) ).
tff(f40,plain,
( ( $true != $true )
| sP0 ),
inference(duplicate_literal_removal,[],[f39]) ).
tff(f39,plain,
( ( $true != $true )
| ( $true != $true )
| ( $true != $true )
| sP0 ),
inference(definition_unfolding,[],[f17,f27,f26,f25]) ).
tff(f25,plain,
q = $true,
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
( ( t = $true )
& ( s = $true )
& ( q = $true )
& ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( ( t = $true )
& ( s = $true )
& ( q = $true )
& ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( p != $true ) ) ) )
& ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( ( t = $true )
& ( s = $true )
& ( q = $true )
& sP0 ) ) ),
inference(definition_folding,[],[f9,f10]) ).
tff(f10,plain,
( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( ( t = $true )
& ( s = $true )
& ( q = $true )
& ( p = $true ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f9,plain,
( ( t = $true )
& ( s = $true )
& ( q = $true )
& ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( ( t = $true )
& ( s = $true )
& ( q = $true )
& ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( p != $true ) ) ) )
& ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( ( t = $true )
& ( s = $true )
& ( q = $true )
& ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( ( t = $true )
& ( s = $true )
& ( q = $true )
& ( p = $true ) ) ) ) ) ),
inference(flattening,[],[f8]) ).
tff(f8,plain,
( ( t = $true )
& ( s = $true )
& ( q = $true )
& ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( ( t = $true )
& ( s = $true )
& ( q = $true )
& ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( p != $true ) ) ) )
& ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( ( t = $true )
& ( s = $true )
& ( q = $true )
& ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( ( t = $true )
& ( s = $true )
& ( q = $true )
& ( p = $true ) ) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ~ ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( p = $true ) ) ) ) ) ) ) )
=> ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( p = $true ) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f6]) ).
tff(f6,plain,
~ ( ( ( t != $true )
| ( s != $true )
| ( q != $true )
| ~ ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( p = $true ) ) ) ) ) ) ) )
=> ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( ~ ( ( t = $true )
& ( s = $true ) )
| ~ ( ( q = $true )
& ( p = $true ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
tff(f5,plain,
~ ( ( ~ t
| ~ s
| ~ q
| ~ ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& p ) ) ) ) ) ) )
=> ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& p ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ~ t
| ~ s
| ~ q
| ~ ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& p ) ) ) ) ) ) )
=> ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& p ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ~ t
| ~ s
| ~ q
| ~ ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& p ) ) ) ) ) ) )
=> ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& ( ~ ( t
& s )
| ~ ( q
& p ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDMG8) ).
tff(f26,plain,
s = $true,
inference(cnf_transformation,[],[f11]) ).
tff(f27,plain,
t = $true,
inference(cnf_transformation,[],[f11]) ).
tff(f17,plain,
( ( t != $true )
| ( s != $true )
| ( q != $true )
| sP0 ),
inference(cnf_transformation,[],[f11]) ).
tff(f64,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f46,f60]) ).
tff(f60,plain,
( spl1_2
<=> ( p = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f46,plain,
p != $true,
inference(trivial_inequality_removal,[],[f45]) ).
tff(f45,plain,
( ( $true != $true )
| ( p != $true ) ),
inference(duplicate_literal_removal,[],[f35]) ).
tff(f35,plain,
( ( $true != $true )
| ( $true != $true )
| ( $true != $true )
| ( $true != $true )
| ( $true != $true )
| ( $true != $true )
| ( p != $true ) ),
inference(definition_unfolding,[],[f21,f27,f26,f25,f27,f26,f25]) ).
tff(f21,plain,
( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( t != $true )
| ( s != $true )
| ( q != $true )
| ( p != $true ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f63,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f51,f60,f56]) ).
tff(f51,plain,
( ( p = $true )
| ~ sP0 ),
inference(trivial_inequality_removal,[],[f50]) ).
tff(f50,plain,
( ( $true != $true )
| ( p = $true )
| ~ sP0 ),
inference(duplicate_literal_removal,[],[f31]) ).
tff(f31,plain,
( ( $true != $true )
| ( $true != $true )
| ( $true != $true )
| ( p = $true )
| ~ sP0 ),
inference(definition_unfolding,[],[f13,f27,f26,f25]) ).
tff(f13,plain,
( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( p = $true )
| ~ sP0 ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
( ( t != $true )
| ( s != $true )
| ( q != $true )
| ( ( t = $true )
& ( s = $true )
& ( q = $true )
& ( p = $true ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYO090^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n029.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 : Mon May 20 10:25:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (24775)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (24781)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (24782)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)
% 0.13/0.36 Detected minimum model sizes of [1]
% 0.13/0.36 Detected maximum model sizes of [3]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 % (24781)First to succeed.
% 0.13/0.36 % (24780)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (24776)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (24782)Also succeeded, but the first one will report.
% 0.13/0.36 % (24781)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24775"
% 0.13/0.36 Detected minimum model sizes of [1]
% 0.13/0.36 Detected maximum model sizes of [3]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 % (24780)Also succeeded, but the first one will report.
% 0.13/0.36 % (24781)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (24781)------------------------------
% 0.13/0.36 % (24781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (24781)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (24781)Memory used [KB]: 734
% 0.13/0.36 % (24781)Time elapsed: 0.003 s
% 0.13/0.36 % (24781)Instructions burned: 4 (million)
% 0.13/0.36 % (24775)Success in time 0.016 s
%------------------------------------------------------------------------------