TSTP Solution File: SYO203^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO203^5 : 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 : n004.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 09:10:36 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 130 ( 35 equ)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 67 ( 26 ~; 8 |; 6 &)
% ( 2 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 70 ( 70 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,
r: $o ).
tff(func_def_1,type,
p: $o ).
tff(func_def_2,type,
q: $o ).
tff(f27,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f25,f26]) ).
tff(f26,plain,
spl0_1,
inference(avatar_split_clause,[],[f15,f17]) ).
tff(f17,plain,
( spl0_1
<=> ( q = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f15,plain,
q = $true,
inference(trivial_inequality_removal,[],[f14]) ).
tff(f14,plain,
( ( $true != $true )
| ( q = $true ) ),
inference(definition_unfolding,[],[f11,f12]) ).
tff(f12,plain,
p = $true,
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
( ( r != $true )
& ( p = $true )
& ( ( p != $true )
| ( q = $true ) )
& ( ( r = $true )
| ( q != $true ) ) ),
inference(flattening,[],[f8]) ).
tff(f8,plain,
( ( r != $true )
& ( p = $true )
& ( ( p != $true )
| ( q = $true ) )
& ( ( r = $true )
| ( q != $true ) ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( ( ( q = $true )
=> ( r = $true ) )
=> ( ( ( q != $true )
=> ( p != $true ) )
=> ( ( p = $true )
=> ( r = $true ) ) ) ),
inference(flattening,[],[f6]) ).
tff(f6,plain,
~ ( ( ( q = $true )
=> ( r = $true ) )
=> ( ( ( q != $true )
=> ( p != $true ) )
=> ( ( p = $true )
=> ( r = $true ) ) ) ),
inference(fool_elimination,[],[f5]) ).
tff(f5,plain,
~ ( ( q
=> r )
=> ( ( ~ q
=> ~ p )
=> ( p
=> r ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( q
=> r )
=> ( ( ~ q
=> ~ p )
=> ( p
=> r ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( q
=> r )
=> ( ( ~ q
=> ~ p )
=> ( p
=> r ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPROP_2003_3_13) ).
tff(f11,plain,
( ( p != $true )
| ( q = $true ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f25,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f13,f21]) ).
tff(f21,plain,
( spl0_2
<=> ( r = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f13,plain,
r != $true,
inference(cnf_transformation,[],[f9]) ).
tff(f24,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f21,f17]) ).
tff(f10,plain,
( ( r = $true )
| ( q != $true ) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO203^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n004.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 09:20:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (10209)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (10210)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (10213)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (10214)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (10215)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (10212)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)
% 0.13/0.36 % (10211)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (10216)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 minimum model sizes of [1]
% 0.13/0.36 Detected maximum model sizes of [4]
% 0.13/0.36 Detected maximum model sizes of [4]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 Detected minimum model sizes of [1]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 Detected maximum model sizes of [4]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 Detected minimum model sizes of [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 Detected maximum model sizes of [4]
% 0.13/0.36 % (10210)Also succeeded, but the first one will report.
% 0.13/0.36 % (10214)Also succeeded, but the first one will report.
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (10215)First to succeed.
% 0.13/0.36 % (10213)Also succeeded, but the first one will report.
% 0.13/0.36 TRYING [1]
% 0.13/0.36 % (10211)Also succeeded, but the first one will report.
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (10216)Also succeeded, but the first one will report.
% 0.13/0.36 % (10212)Also succeeded, but the first one will report.
% 0.13/0.36 % (10215)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10209"
% 0.13/0.36 % (10215)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 % (10215)------------------------------
% 0.13/0.36 % (10215)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (10215)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (10215)Memory used [KB]: 729
% 0.13/0.36 % (10215)Time elapsed: 0.003 s
% 0.13/0.36 % (10215)Instructions burned: 2 (million)
% 0.13/0.36 % (10209)Success in time 0.006 s
%------------------------------------------------------------------------------