TSTP Solution File: DAT015_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT015_1 : TPTP v8.1.2. Released v5.0.0.
% 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 11:03:28 EDT 2024
% Result : Theorem 0.14s 0.33s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 14 unt; 4 typ; 0 def)
% Number of atoms : 62 ( 22 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 59 ( 24 ~; 19 |; 9 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 173 ( 39 atm; 30 fun; 66 num; 38 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 3 usr; 10 con; 0-3 aty)
% Number of variables : 45 ( 38 !; 7 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_10,type,
sK0: array ).
tff(f385,plain,
$false,
inference(subsumption_resolution,[],[f384,f25]) ).
tff(f25,plain,
! [X1: $int] : ( 50 != read(sK0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
( ! [X1: $int] : ( 50 != read(sK0,X1) )
& ! [X2: $int] :
( ( $sum(X2,25) = read(sK0,X2) )
| $less(30,X2)
| $less(X2,20) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).
tff(f22,plain,
( ? [X0: array] :
( ! [X1: $int] : ( read(X0,X1) != 50 )
& ! [X2: $int] :
( ( read(X0,X2) = $sum(X2,25) )
| $less(30,X2)
| $less(X2,20) ) )
=> ( ! [X1: $int] : ( 50 != read(sK0,X1) )
& ! [X2: $int] :
( ( $sum(X2,25) = read(sK0,X2) )
| $less(30,X2)
| $less(X2,20) ) ) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
? [X0: array] :
( ! [X1: $int] : ( read(X0,X1) != 50 )
& ! [X2: $int] :
( ( read(X0,X2) = $sum(X2,25) )
| $less(30,X2)
| $less(X2,20) ) ),
inference(rectify,[],[f20]) ).
tff(f20,plain,
? [X0: array] :
( ! [X2: $int] : ( read(X0,X2) != 50 )
& ! [X1: $int] :
( ( read(X0,X1) = $sum(X1,25) )
| $less(30,X1)
| $less(X1,20) ) ),
inference(flattening,[],[f19]) ).
tff(f19,plain,
? [X0: array] :
( ! [X2: $int] : ( read(X0,X2) != 50 )
& ! [X1: $int] :
( ( read(X0,X1) = $sum(X1,25) )
| $less(30,X1)
| $less(X1,20) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,plain,
~ ! [X0: array] :
( ! [X1: $int] :
( ( ~ $less(30,X1)
& ~ $less(X1,20) )
=> ( read(X0,X1) = $sum(X1,25) ) )
=> ? [X2: $int] : ( read(X0,X2) = 50 ) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X0: array] :
( ! [X1: $int] :
( ( $lesseq(X1,30)
& $lesseq(20,X1) )
=> ( read(X0,X1) = $sum(X1,25) ) )
=> ? [X2: $int] : ( read(X0,X2) = 50 ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X0: array] :
( ! [X1: $int] :
( ( $lesseq(X1,30)
& $lesseq(20,X1) )
=> ( read(X0,X1) = $sum(X1,25) ) )
=> ? [X2: $int] : ( read(X0,X2) = 50 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f384,plain,
50 = read(sK0,25),
inference(evaluation,[],[f371]) ).
tff(f371,plain,
( $less(30,$sum(5,20))
| ( $sum($sum(5,20),25) = read(sK0,$sum(5,20)) ) ),
inference(resolution,[],[f318,f24]) ).
tff(f24,plain,
! [X2: $int] :
( $less(30,X2)
| $less(X2,20)
| ( $sum(X2,25) = read(sK0,X2) ) ),
inference(cnf_transformation,[],[f23]) ).
tff(f318,plain,
! [X0: $int] : ~ $less($sum(5,X0),X0),
inference(evaluation,[],[f309]) ).
tff(f309,plain,
! [X0: $int] : ~ $less($sum(4,$sum(X0,1)),X0),
inference(resolution,[],[f245,f115]) ).
tff(f115,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum(X1,1))
| ~ $less(X0,X1) ),
inference(resolution,[],[f12,f40]) ).
tff(f40,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f15,f11]) ).
tff(f11,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f245,plain,
! [X0: $int] : ~ $less($sum(4,X0),X0),
inference(evaluation,[],[f236]) ).
tff(f236,plain,
! [X0: $int] : ~ $less($sum(3,$sum(X0,1)),X0),
inference(resolution,[],[f180,f115]) ).
tff(f180,plain,
! [X0: $int] : ~ $less($sum(3,X0),X0),
inference(evaluation,[],[f169]) ).
tff(f169,plain,
! [X0: $int] : ~ $less($sum(2,$sum(X0,1)),X0),
inference(resolution,[],[f146,f115]) ).
tff(f146,plain,
! [X0: $int] : ~ $less($sum(2,X0),X0),
inference(evaluation,[],[f136]) ).
tff(f136,plain,
! [X0: $int] : ~ $less($sum($sum(X0,1),1),X0),
inference(resolution,[],[f126,f115]) ).
tff(f126,plain,
! [X0: $int] : ~ $less($sum(X0,1),X0),
inference(resolution,[],[f115,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : DAT015_1 : TPTP v8.1.2. Released v5.0.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n014.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Apr 29 22:00:19 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (5382)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32 % (5385)WARNING: value z3 for option sas not known
% 0.14/0.32 % (5386)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32 % (5387)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)
% 0.14/0.32 % (5389)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)
% 0.14/0.32 % (5385)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)
% 0.14/0.32 % (5386)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.32 % (5386)Terminated due to inappropriate strategy.
% 0.14/0.32 % (5386)------------------------------
% 0.14/0.32 % (5386)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.32 % (5386)Termination reason: Inappropriate
% 0.14/0.32
% 0.14/0.32 % (5386)Memory used [KB]: 741
% 0.14/0.32 % (5386)Time elapsed: 0.002 s
% 0.14/0.32 % (5386)Instructions burned: 2 (million)
% 0.14/0.32 % (5386)------------------------------
% 0.14/0.32 % (5386)------------------------------
% 0.14/0.33 % (5385)First to succeed.
% 0.14/0.33 % (5385)Refutation found. Thanks to Tanya!
% 0.14/0.33 % SZS status Theorem for theBenchmark
% 0.14/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.33 % (5385)------------------------------
% 0.14/0.33 % (5385)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.33 % (5385)Termination reason: Refutation
% 0.14/0.33
% 0.14/0.33 % (5385)Memory used [KB]: 902
% 0.14/0.33 % (5385)Time elapsed: 0.011 s
% 0.14/0.33 % (5385)Instructions burned: 16 (million)
% 0.14/0.33 % (5385)------------------------------
% 0.14/0.33 % (5385)------------------------------
% 0.14/0.33 % (5382)Success in time 0.026 s
% 0.14/0.34 % Exception at proof search level
% 0.14/0.34 System fail: Cannot decrease semaphore. error 22: Invalid argument
%------------------------------------------------------------------------------