TSTP Solution File: SYN000_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN000_5 : TPTP v8.1.2. Bugfixed v5.5.1.
% 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 Apr 30 18:01:45 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 24 ( 6 unt; 12 typ; 0 def)
% Number of atoms : 23 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 6 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 88 ( 13 atm; 34 fun; 23 num; 18 var)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 9 usr; 10 con; 0-2 aty)
% Number of variables : 19 ( 8 !; 11 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a_int: $int ).
tff(func_def_1,type,
a_rat: $rat ).
tff(func_def_2,type,
a_real: $real ).
tff(func_def_78,type,
sK0: $int > $int ).
tff(func_def_79,type,
sK1: $rat > $rat ).
tff(func_def_80,type,
sK2: $real > $real ).
tff(func_def_81,type,
sK3: $real ).
tff(func_def_82,type,
sK4: $rat ).
tff(func_def_83,type,
sK5: $real ).
tff(pred_def_1,type,
p_int: $int > $o ).
tff(pred_def_2,type,
p_rat: $rat > $o ).
tff(pred_def_3,type,
p_real: $real > $o ).
tff(f309,plain,
$false,
inference(evaluation,[],[f308]) ).
tff(f308,plain,
~ $less($to_int($to_rat(0)),3),
inference(superposition,[],[f280,f293]) ).
tff(f293,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f108,f114]) ).
tff(f114,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f108,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f280,plain,
! [X0: $int] : ~ $less($to_int($to_rat($sum(X0,2))),3),
inference(equality_resolution,[],[f200]) ).
tff(f200,plain,
! [X0: $int,X1: $rat] :
( ~ $less($to_int(X1),3)
| ( $to_rat($sum(X0,2)) != X1 ) ),
inference(cnf_transformation,[],[f184]) ).
tff(f184,plain,
! [X0: $int,X1: $rat] :
( ( ~ $less(3.3,$to_real(X1))
& ~ $less($to_int(X1),3) )
| ( $to_rat($sum(X0,2)) != X1 ) ),
inference(ennf_transformation,[],[f181]) ).
tff(f181,plain,
~ ? [X0: $int,X1: $rat] :
( ( $less(3.3,$to_real(X1))
| $less($to_int(X1),3) )
& ( $to_rat($sum(X0,2)) = X1 ) ),
inference(rectify,[],[f79]) ).
tff(f79,plain,
~ ? [X0: $int,X1: $rat,X2] :
( ( $less(3.3,$to_real(X1))
| $less($to_int(X1),3) )
& ( $to_rat($sum(X0,2)) = X1 ) ),
inference(theory_normalization,[],[f78]) ).
tff(f78,negated_conjecture,
~ ? [X0: $int,X1: $rat,X2: $real] :
( ( $greater($to_real(X1),3.3)
| $less($to_int(X1),3) )
& ( $to_rat($sum(X0,2)) = X1 ) ),
inference(negated_conjecture,[],[f77]) ).
tff(f77,conjecture,
? [X0: $int,X1: $rat,X2: $real] :
( ( $greater($to_real(X1),3.3)
| $less($to_int(X1),3) )
& ( $to_rat($sum(X0,2)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixed) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN000_5 : TPTP v8.1.2. Bugfixed v5.5.1.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 02:11:04 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (3139)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (3142)WARNING: value z3 for option sas not known
% 0.14/0.37 % (3140)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (3141)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (3143)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (3142)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (3144)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (3145)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (3146)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.37 % (3141)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.37 % (3141)Terminated due to inappropriate strategy.
% 0.21/0.37 % (3141)------------------------------
% 0.21/0.37 % (3141)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (3141)Termination reason: Inappropriate
% 0.21/0.37
% 0.21/0.37 % (3141)Memory used [KB]: 851
% 0.21/0.37 % (3141)Time elapsed: 0.004 s
% 0.21/0.37 % (3141)Instructions burned: 6 (million)
% 0.21/0.37 % (3141)------------------------------
% 0.21/0.37 % (3141)------------------------------
% 0.21/0.37 % (3140)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.37 % (3140)Terminated due to inappropriate strategy.
% 0.21/0.37 % (3140)------------------------------
% 0.21/0.37 % (3140)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (3140)Termination reason: Inappropriate
% 0.21/0.37 % (3143)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.37
% 0.21/0.37 % (3140)Memory used [KB]: 851
% 0.21/0.37 % (3140)Time elapsed: 0.004 s
% 0.21/0.37 % (3140)Instructions burned: 6 (million)
% 0.21/0.37 % (3140)------------------------------
% 0.21/0.37 % (3140)------------------------------
% 0.21/0.37 % (3143)Terminated due to inappropriate strategy.
% 0.21/0.37 % (3143)------------------------------
% 0.21/0.37 % (3143)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (3143)Termination reason: Inappropriate
% 0.21/0.37
% 0.21/0.37 % (3143)Memory used [KB]: 852
% 0.21/0.37 % (3143)Time elapsed: 0.005 s
% 0.21/0.37 % (3143)Instructions burned: 7 (million)
% 0.21/0.37 % (3143)------------------------------
% 0.21/0.37 % (3143)------------------------------
% 0.21/0.38 % (3146)First to succeed.
% 0.21/0.38 % (3142)Also succeeded, but the first one will report.
% 0.21/0.38 % (3147)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.38 % (3148)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.21/0.38 % (3149)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.21/0.38 % (3145)Also succeeded, but the first one will report.
% 0.21/0.38 % (3146)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (3146)------------------------------
% 0.21/0.38 % (3146)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38 % (3146)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (3146)Memory used [KB]: 901
% 0.21/0.38 % (3146)Time elapsed: 0.008 s
% 0.21/0.38 % (3146)Instructions burned: 11 (million)
% 0.21/0.38 % (3146)------------------------------
% 0.21/0.38 % (3146)------------------------------
% 0.21/0.38 % (3139)Success in time 0.025 s
%------------------------------------------------------------------------------