TSTP Solution File: SYO019^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO019^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 09:09:58 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 5 unt; 2 typ; 0 def)
% Number of atoms : 169 ( 66 equ)
% Maximal formula atoms : 16 ( 7 avg)
% Number of connectives : 110 ( 47 ~; 32 |; 22 &)
% ( 7 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 144 ( 96 fml; 48 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 18 ( 10 !; 8 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $o ).
tff(func_def_3,type,
sK1: $o ).
tff(f34,plain,
$false,
inference(avatar_sat_refutation,[],[f29,f30,f33]) ).
tff(f33,plain,
spl2_1,
inference(avatar_split_clause,[],[f18,f22]) ).
tff(f22,plain,
( spl2_1
<=> ( $true = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f18,plain,
$true = sK0,
inference(duplicate_literal_removal,[],[f13]) ).
tff(f13,plain,
( ( $true = sK0 )
| ( $true = sK0 ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
( ( ( $true != sK1 )
| ( $true != sK0 )
| ( $true != sK1 )
| ( $true != sK0 ) )
& ( ( ( $true = sK1 )
& ( $true = sK0 ) )
| ( ( $true = sK1 )
& ( $true = sK0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f11]) ).
tff(f11,plain,
( ? [X0: $o,X1: $o] :
( ( ( $true != (X1) )
| ( $true != (X0) )
| ( $true != (X1) )
| ( $true != (X0) ) )
& ( ( ( $true = (X1) )
& ( $true = (X0) ) )
| ( ( $true = (X1) )
& ( $true = (X0) ) ) ) )
=> ( ( ( $true != sK1 )
| ( $true != sK0 )
| ( $true != sK1 )
| ( $true != sK0 ) )
& ( ( ( $true = sK1 )
& ( $true = sK0 ) )
| ( ( $true = sK1 )
& ( $true = sK0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f10,plain,
? [X0: $o,X1: $o] :
( ( ( $true != (X1) )
| ( $true != (X0) )
| ( $true != (X1) )
| ( $true != (X0) ) )
& ( ( ( $true = (X1) )
& ( $true = (X0) ) )
| ( ( $true = (X1) )
& ( $true = (X0) ) ) ) ),
inference(flattening,[],[f9]) ).
tff(f9,plain,
? [X0: $o,X1: $o] :
( ( ( $true != (X1) )
| ( $true != (X0) )
| ( $true != (X1) )
| ( $true != (X0) ) )
& ( ( ( $true = (X1) )
& ( $true = (X0) ) )
| ( ( $true = (X1) )
& ( $true = (X0) ) ) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,plain,
? [X0: $o,X1: $o] :
( ( ( $true = (X1) )
& ( $true = (X0) ) )
<~> ( ( $true = (X1) )
& ( $true = (X0) ) ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ! [X0: $o,X1: $o] :
( ( ( $true = (X1) )
& ( $true = (X0) ) )
<=> ~ ( ( $true != (X1) )
| ( $true != (X0) ) ) ),
inference(flattening,[],[f6]) ).
tff(f6,plain,
~ ! [X0: $o,X1: $o] :
( ( ( $true = (X1) )
& ( $true = (X0) ) )
<=> ~ ( ( $true != (X1) )
| ( $true != (X0) ) ) ),
inference(fool_elimination,[],[f5]) ).
tff(f5,plain,
~ ! [X0: $o,X1: $o] :
( ( (X1)
& (X0) )
<=> ~ ( ~ (X1)
| ~ (X0) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $o,X1: $o] :
( ( (X1)
& (X0) )
<=> ~ ( ~ (X1)
| ~ (X0) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $o,X1: $o] :
( ( (X1)
& (X0) )
<=> ~ ( ~ (X1)
| ~ (X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(f30,plain,
spl2_2,
inference(avatar_split_clause,[],[f19,f26]) ).
tff(f26,plain,
( spl2_2
<=> ( $true = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f19,plain,
$true = sK1,
inference(duplicate_literal_removal,[],[f16]) ).
tff(f16,plain,
( ( $true = sK1 )
| ( $true = sK1 ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f29,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f20,f26,f22]) ).
tff(f20,plain,
( ( $true != sK1 )
| ( $true != sK0 ) ),
inference(duplicate_literal_removal,[],[f17]) ).
tff(f17,plain,
( ( $true != sK1 )
| ( $true != sK0 )
| ( $true != sK1 )
| ( $true != sK0 ) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO019^1 : TPTP v8.2.0. Released v3.7.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 09:07:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (27604)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (27606)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (27608)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (27607)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)
% 0.15/0.38 % (27609)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (27610)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (27605)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (27611)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)
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 Detected maximum model sizes of [4]
% 0.15/0.38 Detected maximum model sizes of [4]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (27610)First to succeed.
% 0.15/0.38 TRYING [2]
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 % (27609)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [2]
% 0.15/0.38 Detected maximum model sizes of [4]
% 0.15/0.38 % (27607)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 Detected minimum model sizes of [1]
% 0.15/0.38 % (27610)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27604"
% 0.15/0.38 Detected maximum model sizes of [4]
% 0.15/0.38 % (27606)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 % (27608)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (27605)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (27610)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (27610)------------------------------
% 0.15/0.38 % (27610)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (27610)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (27610)Memory used [KB]: 731
% 0.15/0.38 % (27610)Time elapsed: 0.003 s
% 0.15/0.38 % (27610)Instructions burned: 3 (million)
% 0.15/0.38 % (27604)Success in time 0.006 s
%------------------------------------------------------------------------------