TSTP Solution File: SYO088^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO088^5 : 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 : n023.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 09:10:17 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 58 ( 5 unt; 7 typ; 0 def)
% Number of atoms : 487 ( 137 equ)
% Maximal formula atoms : 14 ( 9 avg)
% Number of connectives : 283 ( 119 ~; 112 |; 34 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 274 ( 272 fml; 2 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 10 usr; 12 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 1 ( 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
t: $o ).
tff(func_def_1,type,
s: $o ).
tff(func_def_2,type,
p: $o ).
tff(func_def_3,type,
d: $o ).
tff(func_def_4,type,
c: $o ).
tff(func_def_5,type,
b: $o ).
tff(func_def_6,type,
a: $o ).
tff(f66,plain,
$false,
inference(avatar_sat_refutation,[],[f30,f35,f38,f65]) ).
tff(f65,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f64]) ).
tff(f64,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f61]) ).
tff(f61,plain,
( ( $true != $true )
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f60,f25]) ).
tff(f25,plain,
( ( a = $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
tff(f23,plain,
( spl0_1
<=> ( a = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f60,plain,
( ( a != $true )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f59]) ).
tff(f59,plain,
( ( $true = $false )
| ( a != $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f55,f49]) ).
tff(f49,plain,
t = $false,
inference(trivial_inequality_removal,[],[f47]) ).
tff(f47,plain,
( ( $true != $true )
| ( t = $false ) ),
inference(superposition,[],[f17,f4]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f17,plain,
t != $true,
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
( ( t != $true )
& ( s = $true )
& ( ( p != $true )
| ( ( d = $true )
& ( c = $true )
& ( b = $true )
& ( a = $true ) ) )
& ( ( t = $true )
| ( s != $true )
| ( ( ( d != $true )
| ( c != $true )
| ( b != $true )
| ( a != $true ) )
& ( p = $true ) ) ) ),
inference(flattening,[],[f8]) ).
tff(f8,plain,
( ( t != $true )
& ( s = $true )
& ( ( p != $true )
| ( ( d = $true )
& ( c = $true )
& ( b = $true )
& ( a = $true ) ) )
& ( ( t = $true )
| ( s != $true )
| ( ( ( d != $true )
| ( c != $true )
| ( b != $true )
| ( a != $true ) )
& ( p = $true ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( ( ( ( s = $true )
=> ( t = $true ) )
| ( ( ( d != $true )
| ( c != $true )
| ( b != $true )
| ( a != $true ) )
& ( p = $true ) ) )
=> ( ( ( s = $true )
=> ( t = $true ) )
| ( ( p = $true )
& ( ~ ( ( d = $true )
& ( c = $true ) )
| ~ ( ( b = $true )
& ( a = $true ) ) ) ) ) ),
inference(flattening,[],[f6]) ).
tff(f6,plain,
~ ( ( ( ( s = $true )
=> ( t = $true ) )
| ( ( ( d != $true )
| ( c != $true )
| ( b != $true )
| ( a != $true ) )
& ( p = $true ) ) )
=> ( ( ( s = $true )
=> ( t = $true ) )
| ( ( p = $true )
& ( ~ ( ( d = $true )
& ( c = $true ) )
| ~ ( ( b = $true )
& ( a = $true ) ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
tff(f5,plain,
~ ( ( ( s
=> t )
| ( ( ~ d
| ~ c
| ~ b
| ~ a )
& p ) )
=> ( ( s
=> t )
| ( p
& ( ~ ( d
& c )
| ~ ( b
& a ) ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( s
=> t )
| ( ( ~ d
| ~ c
| ~ b
| ~ a )
& p ) )
=> ( ( s
=> t )
| ( p
& ( ~ ( d
& c )
| ~ ( b
& a ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ( s
=> t )
| ( ( ~ d
| ~ c
| ~ b
| ~ a )
& p ) )
=> ( ( s
=> t )
| ( p
& ( ~ ( d
& c )
| ~ ( b
& a ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cARR_COM_DMG5) ).
tff(f55,plain,
( ( t = $true )
| ( a != $true )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f54]) ).
tff(f54,plain,
( ( $true != $true )
| ( t = $true )
| ( a != $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f53,f40]) ).
tff(f40,plain,
( ( b = $true )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f39]) ).
tff(f39,plain,
( ( $true != $true )
| ( b = $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f13,f28]) ).
tff(f28,plain,
( ( p = $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f27]) ).
tff(f27,plain,
( spl0_2
<=> ( p = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f13,plain,
( ( p != $true )
| ( b = $true ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f53,plain,
( ( t = $true )
| ( b != $true )
| ( a != $true )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f52]) ).
tff(f52,plain,
( ( $true != $true )
| ( t = $true )
| ( b != $true )
| ( a != $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f51,f42]) ).
tff(f42,plain,
( ( c = $true )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f41]) ).
tff(f41,plain,
( ( $true != $true )
| ( c = $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14,f28]) ).
tff(f14,plain,
( ( p != $true )
| ( c = $true ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f51,plain,
( ( t = $true )
| ( c != $true )
| ( b != $true )
| ( a != $true )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f50]) ).
tff(f50,plain,
( ( $true != $true )
| ( t = $true )
| ( c != $true )
| ( b != $true )
| ( a != $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f21,f44]) ).
tff(f44,plain,
( ( d = $true )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f43]) ).
tff(f43,plain,
( ( $true != $true )
| ( d = $true )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f15,f28]) ).
tff(f15,plain,
( ( p != $true )
| ( d = $true ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f21,plain,
( ( t = $true )
| ( d != $true )
| ( c != $true )
| ( b != $true )
| ( a != $true ) ),
inference(trivial_inequality_removal,[],[f18]) ).
tff(f18,plain,
( ( t = $true )
| ( $true != $true )
| ( d != $true )
| ( c != $true )
| ( b != $true )
| ( a != $true ) ),
inference(definition_unfolding,[],[f11,f16]) ).
tff(f16,plain,
s = $true,
inference(cnf_transformation,[],[f9]) ).
tff(f11,plain,
( ( t = $true )
| ( s != $true )
| ( d != $true )
| ( c != $true )
| ( b != $true )
| ( a != $true ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f38,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f37]) ).
tff(f37,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f36]) ).
tff(f36,plain,
( ( $true != $true )
| ~ spl0_3 ),
inference(superposition,[],[f17,f34]) ).
tff(f34,plain,
( ( t = $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f32,plain,
( spl0_3
<=> ( t = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f35,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f32,f27]) ).
tff(f20,plain,
( ( t = $true )
| ( p = $true ) ),
inference(trivial_inequality_removal,[],[f19]) ).
tff(f19,plain,
( ( t = $true )
| ( $true != $true )
| ( p = $true ) ),
inference(definition_unfolding,[],[f10,f16]) ).
tff(f10,plain,
( ( t = $true )
| ( s != $true )
| ( p = $true ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f30,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f12,f27,f23]) ).
tff(f12,plain,
( ( p != $true )
| ( a = $true ) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO088^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n023.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 10:33:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (32017)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (32020)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 % (32018)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (32019)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (32021)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 % (32022)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (32023)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (32024)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 % (32020)First to succeed.
% 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 [8]
% 0.13/0.36 Detected maximum model sizes of [8]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 Detected minimum model sizes of [1]
% 0.13/0.36 % (32023)Also succeeded, but the first one will report.
% 0.13/0.36 Detected maximum model sizes of [8]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 Detected minimum model sizes of [1]
% 0.13/0.36 % (32020)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32017"
% 0.13/0.36 Detected maximum model sizes of [8]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (32022)Also succeeded, but the first one will report.
% 0.13/0.36 TRYING [3]
% 0.13/0.36 TRYING [3]
% 0.13/0.36 TRYING [4]
% 0.13/0.36 TRYING [4]
% 0.13/0.36 TRYING [3]
% 0.13/0.36 % (32020)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 % (32020)------------------------------
% 0.13/0.36 % (32020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (32020)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (32020)Memory used [KB]: 750
% 0.13/0.36 % (32020)Time elapsed: 0.004 s
% 0.13/0.36 % (32020)Instructions burned: 4 (million)
% 0.13/0.36 % (32017)Success in time 0.018 s
%------------------------------------------------------------------------------