TSTP Solution File: SYN983_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN983_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 08:43:55 EDT 2024
% Result : Theorem 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 71 ( 4 unt; 4 typ; 0 def)
% Number of atoms : 267 ( 43 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 152 ( 60 ~; 61 |; 16 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 110 ( 108 fml; 2 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 1 ( 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
bG0: $o ).
tff(func_def_3,type,
bG1: $o ).
tff(func_def_4,type,
bG2: $o ).
tff(pred_def_3,type,
p: $o > $o ).
tff(f117,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f39,f44,f45,f50,f82,f92,f98,f102,f107,f109,f113,f116]) ).
tff(f116,plain,
( ~ spl3_1
| ~ spl3_9 ),
inference(avatar_contradiction_clause,[],[f115]) ).
tff(f115,plain,
( $false
| ~ spl3_1
| ~ spl3_9 ),
inference(trivial_inequality_removal,[],[f114]) ).
tff(f114,plain,
( ( $true = $false )
| ~ spl3_1
| ~ spl3_9 ),
inference(forward_demodulation,[],[f27,f81]) ).
tff(f81,plain,
( ( $false = bG2 )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f79]) ).
tff(f79,plain,
( spl3_9
<=> ( $false = bG2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
tff(f27,plain,
( ( $true = bG2 )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f26,plain,
( spl3_1
<=> ( $true = bG2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f113,plain,
( spl3_6
| spl3_5 ),
inference(avatar_split_clause,[],[f112,f47,f65]) ).
tff(f65,plain,
( spl3_6
<=> ( $false = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
tff(f47,plain,
( spl3_5
<=> ( $true = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
tff(f112,plain,
( ( $false = bG0 )
| spl3_5 ),
inference(trivial_inequality_removal,[],[f111]) ).
tff(f111,plain,
( ( $true != $true )
| ( $false = bG0 )
| spl3_5 ),
inference(superposition,[],[f49,f4]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f49,plain,
( ( $true != bG0 )
| spl3_5 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f109,plain,
( spl3_7
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f108,f41,f69]) ).
tff(f69,plain,
( spl3_7
<=> p($true) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
tff(f41,plain,
( spl3_4
<=> ( $true = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
tff(f108,plain,
( p($true)
| ~ spl3_4 ),
inference(backward_demodulation,[],[f23,f42]) ).
tff(f42,plain,
( ( $true = bG1 )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f23,plain,
p(bG1),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
( ~ p(bG2)
& p(bG1)
& p(bG0) ),
inference(flattening,[],[f9]) ).
tff(f9,plain,
( ~ p(bG2)
& p(bG1)
& p(bG0) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ( ( p(bG1)
& p(bG0) )
=> p(bG2) ),
inference(fool_elimination,[],[f2,f7,f6,f5]) ).
tff(f5,plain,
( a
<=> ( $true = bG0 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f6,plain,
( b
<=> ( $true = bG1 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).
tff(f7,plain,
( ( b
& a )
<=> ( $true = bG2 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG2])]) ).
tff(f2,negated_conjecture,
~ ( ( p(b)
& p(a) )
=> p(( b
& a )) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( p(b)
& p(a) )
=> p(( b
& a )) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
tff(f107,plain,
( spl3_8
| spl3_4 ),
inference(avatar_split_clause,[],[f106,f41,f74]) ).
tff(f74,plain,
( spl3_8
<=> ( $false = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
tff(f106,plain,
( ( $false = bG1 )
| spl3_4 ),
inference(trivial_inequality_removal,[],[f105]) ).
tff(f105,plain,
( ( $true != $true )
| ( $false = bG1 )
| spl3_4 ),
inference(superposition,[],[f43,f4]) ).
tff(f43,plain,
( ( $true != bG1 )
| spl3_4 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f102,plain,
( ~ spl3_8
| ~ spl3_9 ),
inference(avatar_contradiction_clause,[],[f101]) ).
tff(f101,plain,
( $false
| ~ spl3_8
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f94,f89]) ).
tff(f89,plain,
( p($false)
| ~ spl3_8 ),
inference(backward_demodulation,[],[f23,f76]) ).
tff(f76,plain,
( ( $false = bG1 )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f74]) ).
tff(f94,plain,
( ~ p($false)
| ~ spl3_9 ),
inference(backward_demodulation,[],[f24,f81]) ).
tff(f24,plain,
~ p(bG2),
inference(cnf_transformation,[],[f10]) ).
tff(f98,plain,
( ~ spl3_6
| ~ spl3_9 ),
inference(avatar_contradiction_clause,[],[f97]) ).
tff(f97,plain,
( $false
| ~ spl3_6
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f94,f85]) ).
tff(f85,plain,
( p($false)
| ~ spl3_6 ),
inference(backward_demodulation,[],[f22,f67]) ).
tff(f67,plain,
( ( $false = bG0 )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f65]) ).
tff(f22,plain,
p(bG0),
inference(cnf_transformation,[],[f10]) ).
tff(f92,plain,
( spl3_9
| spl3_1 ),
inference(avatar_split_clause,[],[f61,f26,f79]) ).
tff(f61,plain,
( ( $false = bG2 )
| spl3_1 ),
inference(trivial_inequality_removal,[],[f58]) ).
tff(f58,plain,
( ( $true != $true )
| ( $false = bG2 )
| spl3_1 ),
inference(superposition,[],[f28,f4]) ).
tff(f28,plain,
( ( $true != bG2 )
| spl3_1 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f82,plain,
( spl3_9
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f59,f69,f79]) ).
tff(f59,plain,
( ~ p($true)
| ( $false = bG2 ) ),
inference(superposition,[],[f24,f4]) ).
tff(f50,plain,
( ~ spl3_5
| spl3_3 ),
inference(avatar_split_clause,[],[f21,f35,f47]) ).
tff(f35,plain,
( spl3_3
<=> a ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f21,plain,
( a
| ( $true != bG0 ) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ( a
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ a ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f45,plain,
( ~ spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f18,f41,f30]) ).
tff(f30,plain,
( spl3_2
<=> b ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f18,plain,
( ( $true = bG1 )
| ~ b ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
( ( b
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ b ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f44,plain,
( ~ spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f19,f30,f41]) ).
tff(f19,plain,
( b
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f13]) ).
tff(f39,plain,
( ~ spl3_3
| ~ spl3_2
| spl3_1 ),
inference(avatar_split_clause,[],[f15,f26,f30,f35]) ).
tff(f15,plain,
( ( $true = bG2 )
| ~ b
| ~ a ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
( ( ( b
& a )
| ( $true != bG2 ) )
& ( ( $true = bG2 )
| ~ b
| ~ a ) ),
inference(flattening,[],[f11]) ).
tff(f11,plain,
( ( ( b
& a )
| ( $true != bG2 ) )
& ( ( $true = bG2 )
| ~ b
| ~ a ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f33,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f17,f30,f26]) ).
tff(f17,plain,
( b
| ( $true != bG2 ) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN983_8 : TPTP v8.2.0. Released v8.0.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n026.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 20 15:04:52 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % (32448)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (32454)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.36 % (32451)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)
% 0.15/0.37 % (32455)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)
% 0.15/0.37 % (32453)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 Detected minimum model sizes of [1]
% 0.15/0.37 Detected maximum model sizes of [5]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (32454)First to succeed.
% 0.15/0.37 TRYING [3]
% 0.15/0.37 % (32451)Also succeeded, but the first one will report.
% 0.15/0.37 % (32449)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 TRYING [4]
% 0.15/0.37 TRYING [5]
% 0.15/0.37 % (32455)Also succeeded, but the first one will report.
% 0.15/0.37 Detected minimum model sizes of [1]
% 0.15/0.37 Detected maximum model sizes of [5]
% 0.15/0.37 % (32454)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32448"
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [4]
% 0.15/0.37 TRYING [5]
% 0.15/0.37 % (32454)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Theorem for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (32454)------------------------------
% 0.15/0.37 % (32454)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (32454)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (32454)Memory used [KB]: 758
% 0.15/0.37 % (32454)Time elapsed: 0.005 s
% 0.15/0.37 % (32454)Instructions burned: 5 (million)
% 0.15/0.37 % (32448)Success in time 0.009 s
%------------------------------------------------------------------------------