TSTP Solution File: SYO368_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO368_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 : n017.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 09:11:02 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 50 ( 3 unt; 3 typ; 0 def)
% Number of atoms : 183 ( 24 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 111 ( 41 ~; 41 |; 15 &)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 68 ( 66 fml; 2 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 9 usr; 10 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(pred_def_2,type,
cP: $o > $o ).
tff(f75,plain,
$false,
inference(avatar_sat_refutation,[],[f30,f31,f36,f41,f60,f67,f68,f74]) ).
tff(f74,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f72]) ).
tff(f72,plain,
( $false
| ~ spl2_3
| ~ spl2_4 ),
inference(resolution,[],[f71,f69]) ).
tff(f69,plain,
( ~ cP($true)
| ~ spl2_3 ),
inference(backward_demodulation,[],[f21,f34]) ).
tff(f34,plain,
( ( $true = bG1 )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f33,plain,
( spl2_3
<=> ( $true = bG1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
tff(f21,plain,
~ cP(bG1),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
( ~ cP(bG1)
& cP(bG0)
& ( a
| ~ b )
& ( b
| ~ a ) ),
inference(flattening,[],[f12]) ).
tff(f12,plain,
( ~ cP(bG1)
& cP(bG0)
& ( a
| ~ b )
& ( b
| ~ a ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f9,plain,
( ~ cP(bG1)
& cP(bG0)
& ( a
<=> b ) ),
inference(flattening,[],[f8]) ).
tff(f8,plain,
( ~ cP(bG1)
& cP(bG0)
& ( a
<=> b ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( ( cP(bG0)
& ( a
<=> b ) )
=> cP(bG1) ),
inference(fool_elimination,[],[f2,f6,f5]) ).
tff(f5,plain,
( a
<=> ( $true = bG0 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f6,plain,
( b
<=> ( $true = bG1 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).
tff(f2,negated_conjecture,
~ ( ( cP(a)
& ( a
<=> b ) )
=> cP(b) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( cP(a)
& ( a
<=> b ) )
=> cP(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIVEXT1) ).
tff(f71,plain,
( cP($true)
| ~ spl2_4 ),
inference(backward_demodulation,[],[f20,f39]) ).
tff(f39,plain,
( ( $true = bG0 )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f38]) ).
tff(f38,plain,
( spl2_4
<=> ( $true = bG0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
tff(f20,plain,
cP(bG0),
inference(cnf_transformation,[],[f13]) ).
tff(f68,plain,
( ~ spl2_1
| spl2_4 ),
inference(avatar_split_clause,[],[f16,f38,f23]) ).
tff(f23,plain,
( spl2_1
<=> a ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
tff(f16,plain,
( ( $true = bG0 )
| ~ a ),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
( ( a
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ a ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f67,plain,
( ~ spl2_2
| spl2_3 ),
inference(avatar_split_clause,[],[f14,f33,f27]) ).
tff(f27,plain,
( spl2_2
<=> b ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
tff(f14,plain,
( ( $true = bG1 )
| ~ b ),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
( ( b
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ b ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f60,plain,
( spl2_3
| spl2_4 ),
inference(avatar_contradiction_clause,[],[f59]) ).
tff(f59,plain,
( $false
| spl2_3
| spl2_4 ),
inference(resolution,[],[f56,f52]) ).
tff(f52,plain,
( ~ cP($false)
| spl2_3 ),
inference(backward_demodulation,[],[f21,f49]) ).
tff(f49,plain,
( ( $false = bG1 )
| spl2_3 ),
inference(trivial_inequality_removal,[],[f46]) ).
tff(f46,plain,
( ( $true != $true )
| ( $false = bG1 )
| spl2_3 ),
inference(superposition,[],[f35,f4]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f35,plain,
( ( $true != bG1 )
| spl2_3 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f56,plain,
( cP($false)
| spl2_4 ),
inference(backward_demodulation,[],[f20,f50]) ).
tff(f50,plain,
( ( $false = bG0 )
| spl2_4 ),
inference(trivial_inequality_removal,[],[f44]) ).
tff(f44,plain,
( ( $true != $true )
| ( $false = bG0 )
| spl2_4 ),
inference(superposition,[],[f40,f4]) ).
tff(f40,plain,
( ( $true != bG0 )
| spl2_4 ),
inference(avatar_component_clause,[],[f38]) ).
tff(f41,plain,
( ~ spl2_4
| spl2_1 ),
inference(avatar_split_clause,[],[f17,f23,f38]) ).
tff(f17,plain,
( a
| ( $true != bG0 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f36,plain,
( ~ spl2_3
| spl2_2 ),
inference(avatar_split_clause,[],[f15,f27,f33]) ).
tff(f15,plain,
( b
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f10]) ).
tff(f31,plain,
( ~ spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f19,f23,f27]) ).
tff(f19,plain,
( a
| ~ b ),
inference(cnf_transformation,[],[f13]) ).
tff(f30,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f18,f27,f23]) ).
tff(f18,plain,
( b
| ~ a ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO368_8 : TPTP v8.2.0. Released v8.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 09:37:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (13419)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (13422)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)
% 0.21/0.38 % (13422)First to succeed.
% 0.21/0.39 % (13426)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)
% 0.21/0.39 % (13422)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13419"
% 0.21/0.39 Detected minimum model sizes of [1]
% 0.21/0.39 Detected maximum model sizes of [4]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 % (13422)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (13422)------------------------------
% 0.21/0.39 % (13422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (13422)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (13422)Memory used [KB]: 753
% 0.21/0.39 % (13422)Time elapsed: 0.004 s
% 0.21/0.39 % (13422)Instructions burned: 4 (million)
% 0.21/0.39 % (13419)Success in time 0.028 s
%------------------------------------------------------------------------------