TSTP Solution File: SYO086^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO086^5 : 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 : n012.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 09:10:16 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 5 unt; 3 typ; 0 def)
% Number of atoms : 187 ( 49 equ)
% Maximal formula atoms : 10 ( 9 avg)
% Number of connectives : 117 ( 47 ~; 18 |; 39 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 98 ( 98 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 6 usr; 8 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,
cR: $o ).
tff(func_def_1,type,
cQ: $o ).
tff(func_def_2,type,
cP: $o ).
tff(f38,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f34,f36,f37]) ).
tff(f37,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f19,f31]) ).
tff(f31,plain,
( spl0_3
<=> ( cR = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f19,plain,
cR != $true,
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
( ( cR != $true )
& ( ( ( cQ != $true )
& ( cP != $true ) )
| ( ( cQ = $true )
& ( cP = $true ) ) )
& ( ( ( cR = $true )
& ( cQ != $true ) )
| ( ( cR != $true )
& ( cQ = $true ) ) )
& ( cP != $true ) ),
inference(flattening,[],[f8]) ).
tff(f8,plain,
( ( cR != $true )
& ( ( ( cQ != $true )
& ( cP != $true ) )
| ( ( cQ = $true )
& ( cP = $true ) ) )
& ( ( ( cR = $true )
& ( cQ != $true ) )
| ( ( cR != $true )
& ( cQ = $true ) ) )
& ( cP != $true ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( ( ( ( ( cR = $true )
& ( cQ != $true ) )
| ( ( cR != $true )
& ( cQ = $true ) ) )
& ( cP != $true ) )
=> ( ( ( ( cQ != $true )
& ( cP != $true ) )
| ( ( cQ = $true )
& ( cP = $true ) ) )
=> ( cR = $true ) ) ),
inference(flattening,[],[f6]) ).
tff(f6,plain,
~ ( ( ( ( ( cR = $true )
& ( cQ != $true ) )
| ( ( cR != $true )
& ( cQ = $true ) ) )
& ( cP != $true ) )
=> ( ( ( ( cQ != $true )
& ( cP != $true ) )
| ( ( cQ = $true )
& ( cP = $true ) ) )
=> ( cR = $true ) ) ),
inference(fool_elimination,[],[f5]) ).
tff(f5,plain,
~ ( ( ( ( cR
& ~ cQ )
| ( ~ cR
& cQ ) )
& ~ cP )
=> ( ( ( ~ cQ
& ~ cP )
| ( cQ
& cP ) )
=> cR ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( ( cR
& ~ cQ )
| ( ~ cR
& cQ ) )
& ~ cP )
=> ( ( ( ~ cQ
& ~ cP )
| ( cQ
& cP ) )
=> cR ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ( ( cR
& ~ cQ )
| ( ~ cR
& cQ ) )
& ~ cP )
=> ( ( ( ~ cQ
& ~ cP )
| ( cQ
& cP ) )
=> cR ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM50_11) ).
tff(f36,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f10,f21]) ).
tff(f21,plain,
( spl0_1
<=> ( cP = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f10,plain,
cP != $true,
inference(cnf_transformation,[],[f9]) ).
tff(f34,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f13,f31,f25]) ).
tff(f25,plain,
( spl0_2
<=> ( cQ = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f13,plain,
( ( cR = $true )
| ( cQ = $true ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f28,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f17,f25,f21]) ).
tff(f17,plain,
( ( cQ != $true )
| ( cP = $true ) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYO086^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 08:43:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (26844)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (26847)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)
% 0.14/0.38 % (26848)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (26846)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (26845)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (26849)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (26850)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (26851)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)
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [5]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [5]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [5]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [5]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (26849)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (26850)First to succeed.
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (26847)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 % (26845)Also succeeded, but the first one will report.
% 0.14/0.38 % (26850)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26844"
% 0.14/0.38 TRYING [5]
% 0.14/0.38 % (26851)Also succeeded, but the first one will report.
% 0.14/0.38 % (26846)Also succeeded, but the first one will report.
% 0.14/0.38 % (26848)Also succeeded, but the first one will report.
% 0.14/0.38 % (26850)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (26850)------------------------------
% 0.14/0.38 % (26850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (26850)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (26850)Memory used [KB]: 731
% 0.14/0.38 % (26850)Time elapsed: 0.003 s
% 0.14/0.38 % (26850)Instructions burned: 2 (million)
% 0.14/0.38 % (26844)Success in time 0.004 s
%------------------------------------------------------------------------------