TSTP Solution File: DAT013_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT013_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 : Mon May 20 19:50:49 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 36 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 92 ( 1 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 109 ( 46 ~; 24 |; 28 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 202 ( 90 atm; 21 fun; 41 num; 50 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 6 usr; 7 con; 0-3 aty)
% Number of variables : 57 ( 39 !; 18 ?; 57 :)
% 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_7,type,
sK0: array ).
tff(func_def_8,type,
sK1: $int ).
tff(func_def_9,type,
sK2: $int ).
tff(func_def_10,type,
sK3: $int ).
tff(f307,plain,
$false,
inference(resolution,[],[f303,f27]) ).
tff(f27,plain,
~ $less(sK2,sK3),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ~ $less(0,read(sK0,sK3))
& ~ $less(sK2,sK3)
& ~ $less(sK3,$sum(sK1,3))
& ! [X4: $int] :
( $less(0,read(sK0,X4))
| $less(sK2,X4)
| $less(X4,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f21,f23,f22]) ).
tff(f22,plain,
( ? [X0: array,X1: $int,X2: $int] :
( ? [X3: $int] :
( ~ $less(0,read(X0,X3))
& ~ $less(X2,X3)
& ~ $less(X3,$sum(X1,3)) )
& ! [X4: $int] :
( $less(0,read(X0,X4))
| $less(X2,X4)
| $less(X4,X1) ) )
=> ( ? [X3: $int] :
( ~ $less(0,read(sK0,X3))
& ~ $less(sK2,X3)
& ~ $less(X3,$sum(sK1,3)) )
& ! [X4: $int] :
( $less(0,read(sK0,X4))
| $less(sK2,X4)
| $less(X4,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f23,plain,
( ? [X3: $int] :
( ~ $less(0,read(sK0,X3))
& ~ $less(sK2,X3)
& ~ $less(X3,$sum(sK1,3)) )
=> ( ~ $less(0,read(sK0,sK3))
& ~ $less(sK2,sK3)
& ~ $less(sK3,$sum(sK1,3)) ) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
? [X0: array,X1: $int,X2: $int] :
( ? [X3: $int] :
( ~ $less(0,read(X0,X3))
& ~ $less(X2,X3)
& ~ $less(X3,$sum(X1,3)) )
& ! [X4: $int] :
( $less(0,read(X0,X4))
| $less(X2,X4)
| $less(X4,X1) ) ),
inference(rectify,[],[f20]) ).
tff(f20,plain,
? [X0: array,X1: $int,X2: $int] :
( ? [X4: $int] :
( ~ $less(0,read(X0,X4))
& ~ $less(X2,X4)
& ~ $less(X4,$sum(X1,3)) )
& ! [X3: $int] :
( $less(0,read(X0,X3))
| $less(X2,X3)
| $less(X3,X1) ) ),
inference(flattening,[],[f19]) ).
tff(f19,plain,
? [X0: array,X1: $int,X2: $int] :
( ? [X4: $int] :
( ~ $less(0,read(X0,X4))
& ~ $less(X2,X4)
& ~ $less(X4,$sum(X1,3)) )
& ! [X3: $int] :
( $less(0,read(X0,X3))
| $less(X2,X3)
| $less(X3,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,plain,
~ ! [X0: array,X1: $int,X2: $int] :
( ! [X3: $int] :
( ( ~ $less(X2,X3)
& ~ $less(X3,X1) )
=> $less(0,read(X0,X3)) )
=> ! [X4: $int] :
( ( ~ $less(X2,X4)
& ~ $less(X4,$sum(X1,3)) )
=> $less(0,read(X0,X4)) ) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X0: array,X1: $int,X2: $int] :
( ! [X3: $int] :
( ( $lesseq(X3,X2)
& $lesseq(X1,X3) )
=> $greater(read(X0,X3),0) )
=> ! [X4: $int] :
( ( $lesseq(X4,X2)
& $lesseq($sum(X1,3),X4) )
=> $greater(read(X0,X4),0) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X0: array,X1: $int,X2: $int] :
( ! [X3: $int] :
( ( $lesseq(X3,X2)
& $lesseq(X1,X3) )
=> $greater(read(X0,X3),0) )
=> ! [X4: $int] :
( ( $lesseq(X4,X2)
& $lesseq($sum(X1,3),X4) )
=> $greater(read(X0,X4),0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f303,plain,
$less(sK2,sK3),
inference(resolution,[],[f300,f36]) ).
tff(f36,plain,
( $less(sK3,sK1)
| $less(sK2,sK3) ),
inference(resolution,[],[f25,f28]) ).
tff(f28,plain,
~ $less(0,read(sK0,sK3)),
inference(cnf_transformation,[],[f24]) ).
tff(f25,plain,
! [X4: $int] :
( $less(0,read(sK0,X4))
| $less(sK2,X4)
| $less(X4,sK1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f300,plain,
~ $less(sK3,sK1),
inference(resolution,[],[f297,f79]) ).
tff(f79,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f12,f11]) ).
tff(f11,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f297,plain,
$less(sK1,sK3),
inference(evaluation,[],[f291]) ).
tff(f291,plain,
( ~ $less(1,3)
| $less(sK1,sK3) ),
inference(resolution,[],[f271,f46]) ).
tff(f46,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f15,f6]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f271,plain,
! [X0: $int] :
( ~ $less(sK3,$sum(X0,sK1))
| ~ $less(X0,3) ),
inference(resolution,[],[f14,f84]) ).
tff(f84,plain,
! [X0: $int] :
( ~ $less(X0,$sum(3,sK1))
| ~ $less(sK3,X0) ),
inference(resolution,[],[f12,f31]) ).
tff(f31,plain,
~ $less(sK3,$sum(3,sK1)),
inference(forward_demodulation,[],[f26,f6]) ).
tff(f26,plain,
~ $less(sK3,$sum(sK1,3)),
inference(cnf_transformation,[],[f24]) ).
tff(f14,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT013_1 : TPTP v8.2.0. Released v5.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n004.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 : Sun May 19 23:13:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (15323)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (15326)WARNING: value z3 for option sas not known
% 0.14/0.37 % (15325)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 % (15324)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (15327)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (15328)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 % (15326)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 % (15329)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 % (15330)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)
% 0.14/0.37 % (15324)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (15325)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (15324)Terminated due to inappropriate strategy.
% 0.14/0.37 % (15324)------------------------------
% 0.14/0.37 % (15324)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (15324)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (15324)Memory used [KB]: 744
% 0.14/0.37 % (15324)Time elapsed: 0.002 s
% 0.14/0.37 % (15324)Instructions burned: 2 (million)
% 0.14/0.37 % (15325)Terminated due to inappropriate strategy.
% 0.14/0.37 % (15325)------------------------------
% 0.14/0.37 % (15325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (15327)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (15327)Terminated due to inappropriate strategy.
% 0.14/0.37 % (15327)------------------------------
% 0.14/0.37 % (15327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (15325)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (15325)Memory used [KB]: 744
% 0.14/0.37 % (15325)Time elapsed: 0.002 s
% 0.14/0.37 % (15325)Instructions burned: 2 (million)
% 0.14/0.37 % (15327)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (15327)Memory used [KB]: 744
% 0.14/0.37 % (15327)Time elapsed: 0.002 s
% 0.14/0.37 % (15327)Instructions burned: 2 (million)
% 0.14/0.37 % (15324)------------------------------
% 0.14/0.37 % (15324)------------------------------
% 0.14/0.37 % (15325)------------------------------
% 0.14/0.37 % (15325)------------------------------
% 0.14/0.37 % (15327)------------------------------
% 0.14/0.37 % (15327)------------------------------
% 0.14/0.38 % (15329)First to succeed.
% 0.14/0.38 % (15329)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15323"
% 0.14/0.38 % (15329)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (15329)------------------------------
% 0.14/0.38 % (15329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (15329)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (15329)Memory used [KB]: 928
% 0.14/0.38 % (15329)Time elapsed: 0.013 s
% 0.14/0.38 % (15329)Instructions burned: 17 (million)
% 0.14/0.38 % (15323)Success in time 0.016 s
%------------------------------------------------------------------------------