TSTP Solution File: SYO124^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO124^5 : 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 : n013.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 09:10:22 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 112 ( 29 equ)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 53 ( 17 ~; 16 |; 14 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 58 ( 58 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 5 usr; 7 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,
cQ: $o ).
tff(func_def_1,type,
cR: $o ).
tff(func_def_2,type,
cP: $o ).
tff(f26,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f24,f25]) ).
tff(f25,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f14,f16]) ).
tff(f16,plain,
( spl0_1
<=> ( cR = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f14,plain,
cR != $true,
inference(trivial_inequality_removal,[],[f13]) ).
tff(f13,plain,
( ( cR != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f11,f9]) ).
tff(f9,plain,
cP = $true,
inference(cnf_transformation,[],[f8]) ).
tff(f8,plain,
( ( cQ != $true )
& ( ( cR != $true )
| ( cP != $true ) )
& ( ( cQ = $true )
| ( cR = $true ) )
& ( cP = $true ) ),
inference(flattening,[],[f7]) ).
tff(f7,plain,
( ( cQ != $true )
& ( ( cR != $true )
| ( cP != $true ) )
& ( ( cQ = $true )
| ( cR = $true ) )
& ( cP = $true ) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,plain,
~ ( ( ( ( cQ = $true )
| ( cR = $true ) )
& ( cP = $true ) )
=> ( ( cQ = $true )
| ( ( cR = $true )
& ( cP = $true ) ) ) ),
inference(fool_elimination,[],[f5]) ).
tff(f5,plain,
~ ( ( ( cQ
| cR )
& cP )
=> ( cQ
| ( cR
& cP ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( cQ
| cR )
& cP )
=> ( cQ
| ( cR
& cP ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ( cQ
| cR )
& cP )
=> ( cQ
| ( cR
& cP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDISJ_BUG) ).
tff(f11,plain,
( ( cR != $true )
| ( cP != $true ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f24,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f12,f20]) ).
tff(f20,plain,
( spl0_2
<=> ( cQ = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f12,plain,
cQ != $true,
inference(cnf_transformation,[],[f8]) ).
tff(f23,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f20,f16]) ).
tff(f10,plain,
( ( cQ = $true )
| ( cR = $true ) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO124^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n013.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 : Mon May 20 10:19:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (23016)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (23022)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (23021)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (23018)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (23019)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (23022)First to succeed.
% 0.14/0.37 % (23020)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 Detected minimum model sizes of [1]
% 0.14/0.37 % (23022)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23016"
% 0.14/0.37 Detected maximum model sizes of [4]
% 0.14/0.37 % (23021)Also succeeded, but the first one will report.
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 Detected minimum model sizes of [1]
% 0.14/0.37 Detected maximum model sizes of [4]
% 0.14/0.37 % (23018)Also succeeded, but the first one will report.
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (23019)Also succeeded, but the first one will report.
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (23020)Also succeeded, but the first one will report.
% 0.14/0.37 % (23022)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (23022)------------------------------
% 0.14/0.37 % (23022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (23022)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (23022)Memory used [KB]: 729
% 0.14/0.37 % (23022)Time elapsed: 0.003 s
% 0.14/0.37 % (23022)Instructions burned: 2 (million)
% 0.14/0.37 % (23016)Success in time 0.007 s
%------------------------------------------------------------------------------