TSTP Solution File: SYO013_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO013_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 Apr 30 18:18:31 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 9 unt; 3 typ; 0 def)
% Number of atoms : 79 ( 10 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 33 ( 10 ~; 4 |; 12 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 34 ( 34 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
bG0: $o ).
tff(func_def_3,type,
bG1: $o ).
tff(pred_def_3,type,
p: $o > $o ).
tff(f24,plain,
$false,
inference(subsumption_resolution,[],[f23,f21]) ).
tff(f21,plain,
~ p($true),
inference(backward_demodulation,[],[f19,f20]) ).
tff(f20,plain,
$true = bG1,
inference(subsumption_resolution,[],[f14,f17]) ).
tff(f17,plain,
b,
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
( ~ p(bG1)
& p(bG0)
& b
& a ),
inference(flattening,[],[f12]) ).
tff(f12,plain,
( ~ p(bG1)
& p(bG0)
& b
& a ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( ( p(bG0)
& b
& a )
=> p(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,
~ ( ( p(a)
& b
& a )
=> p(b) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( p(a)
& b
& a )
=> p(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(f14,plain,
( ( $true = bG1 )
| ~ b ),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
( ( $true = bG1 )
| ~ b ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
( b
=> ( $true = bG1 ) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
tff(f19,plain,
~ p(bG1),
inference(cnf_transformation,[],[f13]) ).
tff(f23,plain,
p($true),
inference(backward_demodulation,[],[f18,f22]) ).
tff(f22,plain,
$true = bG0,
inference(subsumption_resolution,[],[f15,f16]) ).
tff(f16,plain,
a,
inference(cnf_transformation,[],[f13]) ).
tff(f15,plain,
( ( $true = bG0 )
| ~ a ),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
( ( $true = bG0 )
| ~ a ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
( a
=> ( $true = bG0 ) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
tff(f18,plain,
p(bG0),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO013_8 : TPTP v8.1.2. Released v8.0.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 00:30:04 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (31434)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (31437)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)
% 0.11/0.35 % (31439)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.35 % (31436)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35 % (31440)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.35 % (31441)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)
% 0.11/0.35 % (31435)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35 % (31438)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.35 Detected minimum model sizes of [1]
% 0.11/0.35 Detected minimum model sizes of [1]
% 0.11/0.35 Detected maximum model sizes of [4]
% 0.11/0.35 Detected maximum model sizes of [4]
% 0.11/0.35 Detected minimum model sizes of [1]
% 0.11/0.35 Detected maximum model sizes of [4]
% 0.11/0.35 Detected minimum model sizes of [1]
% 0.11/0.35 Detected maximum model sizes of [4]
% 0.11/0.35 % (31439)First to succeed.
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 % (31437)Also succeeded, but the first one will report.
% 0.11/0.35 % (31441)Also succeeded, but the first one will report.
% 0.11/0.35 % (31439)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Theorem for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (31439)------------------------------
% 0.11/0.35 % (31439)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35 % (31439)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (31439)Memory used [KB]: 739
% 0.11/0.35 % (31439)Time elapsed: 0.003 s
% 0.11/0.35 % (31439)Instructions burned: 2 (million)
% 0.11/0.35 % (31439)------------------------------
% 0.11/0.35 % (31439)------------------------------
% 0.11/0.35 % (31434)Success in time 0.017 s
%------------------------------------------------------------------------------