TSTP Solution File: DAT076_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT076_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 11:03:59 EDT 2024
% Result : Theorem 0.18s 0.39s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 47 ( 5 unt; 15 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 118 ( 47 ~; 18 |; 40 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 144 ( 67 atm; 0 fun; 36 num; 41 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 31 ( 14 >; 17 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 10 usr; 1 con; 0-3 aty)
% Number of variables : 72 ( 62 !; 10 ?; 72 :)
% 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_2,type,
init: $int > array ).
tff(func_def_3,type,
max: ( array * $int ) > $int ).
tff(func_def_5,type,
rev: ( array * $int ) > array ).
tff(func_def_10,type,
sK1: ( array * array ) > $int ).
tff(func_def_11,type,
sK2: ( array * $int ) > $int ).
tff(func_def_12,type,
sK3: ( array * $int ) > $int ).
tff(func_def_13,type,
sK4: ( array * $int * $int ) > $int ).
tff(func_def_14,type,
sK5: ( array * array * $int ) > $int ).
tff(pred_def_4,type,
sorted: ( array * $int ) > $o ).
tff(pred_def_6,type,
inRange: ( array * $int * $int ) > $o ).
tff(pred_def_7,type,
distinct: ( array * $int ) > $o ).
tff(pred_def_8,type,
sP0: ( array * $int ) > $o ).
tff(f291,plain,
$false,
inference(resolution,[],[f289,f288]) ).
tff(f288,plain,
! [X0: array] : sorted(X0,0),
inference(resolution,[],[f285,f66]) ).
tff(f66,plain,
! [X0: array,X1: $int] :
( sP0(X0,X1)
| sorted(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| sP0(X0,X1) ),
inference(definition_folding,[],[f43,f47]) ).
tff(f47,plain,
! [X0: array,X1: $int] :
( ? [X2: $int,X3: $int] :
( $less(read(X0,X3),read(X0,X2))
& $less(X3,X1)
& $less(X2,X3)
& $less(X2,X1)
& ~ $less(X2,0) )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f43,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| ? [X2: $int,X3: $int] :
( $less(read(X0,X3),read(X0,X2))
& $less(X3,X1)
& $less(X2,X3)
& $less(X2,X1)
& ~ $less(X2,0) ) ),
inference(flattening,[],[f42]) ).
tff(f42,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| ? [X2: $int,X3: $int] :
( $less(read(X0,X3),read(X0,X2))
& $less(X3,X1)
& $less(X2,X3)
& $less(X2,X1)
& ~ $less(X2,0) ) ),
inference(ennf_transformation,[],[f39]) ).
tff(f39,plain,
! [X0: array,X1: $int] :
( ! [X2: $int,X3: $int] :
( ( $less(X3,X1)
& $less(X2,X3)
& $less(X2,X1)
& ~ $less(X2,0) )
=> ~ $less(read(X0,X3),read(X0,X2)) )
=> sorted(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
tff(f34,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
<=> ! [X2: $int,X3: $int] :
( ( $less(X3,X1)
& $less(X2,X3)
& $less(X2,X1)
& ~ $less(X2,0) )
=> ~ $less(read(X0,X3),read(X0,X2)) ) ),
inference(rectify,[],[f13]) ).
tff(f13,plain,
! [X0: array,X5: $int] :
( sorted(X0,X5)
<=> ! [X1: $int,X3: $int] :
( ( $less(X3,X5)
& $less(X1,X3)
& $less(X1,X5)
& ~ $less(X1,0) )
=> ~ $less(read(X0,X3),read(X0,X1)) ) ),
inference(theory_normalization,[],[f6]) ).
tff(f6,axiom,
! [X0: array,X5: $int] :
( sorted(X0,X5)
<=> ! [X1: $int,X3: $int] :
( ( $less(X3,X5)
& $less(X1,X3)
& $less(X1,X5)
& $lesseq(0,X1) )
=> $lesseq(read(X0,X1),read(X0,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sorted1) ).
tff(f285,plain,
! [X0: array] : ~ sP0(X0,0),
inference(resolution,[],[f283,f62]) ).
tff(f62,plain,
! [X0: array,X1: $int] :
( $less(sK2(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
! [X0: array,X1: $int] :
( ( $less(read(X0,sK3(X0,X1)),read(X0,sK2(X0,X1)))
& $less(sK3(X0,X1),X1)
& $less(sK2(X0,X1),sK3(X0,X1))
& $less(sK2(X0,X1),X1)
& ~ $less(sK2(X0,X1),0) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f51,f52]) ).
tff(f52,plain,
! [X0: array,X1: $int] :
( ? [X2: $int,X3: $int] :
( $less(read(X0,X3),read(X0,X2))
& $less(X3,X1)
& $less(X2,X3)
& $less(X2,X1)
& ~ $less(X2,0) )
=> ( $less(read(X0,sK3(X0,X1)),read(X0,sK2(X0,X1)))
& $less(sK3(X0,X1),X1)
& $less(sK2(X0,X1),sK3(X0,X1))
& $less(sK2(X0,X1),X1)
& ~ $less(sK2(X0,X1),0) ) ),
introduced(choice_axiom,[]) ).
tff(f51,plain,
! [X0: array,X1: $int] :
( ? [X2: $int,X3: $int] :
( $less(read(X0,X3),read(X0,X2))
& $less(X3,X1)
& $less(X2,X3)
& $less(X2,X1)
& ~ $less(X2,0) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f47]) ).
tff(f283,plain,
! [X0: array] : ~ $less(sK2(X0,0),0),
inference(duplicate_literal_removal,[],[f281]) ).
tff(f281,plain,
! [X0: array] :
( ~ $less(sK2(X0,0),0)
| ~ $less(sK2(X0,0),0) ),
inference(resolution,[],[f263,f117]) ).
tff(f117,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
| ~ $less(sK2(X0,X1),0) ),
inference(resolution,[],[f61,f66]) ).
tff(f61,plain,
! [X0: array,X1: $int] :
( ~ sP0(X0,X1)
| ~ $less(sK2(X0,X1),0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f263,plain,
! [X0: array] :
( ~ sorted(X0,0)
| ~ $less(sK2(X0,0),0) ),
inference(resolution,[],[f262,f58]) ).
tff(f58,plain,
! [X0: array,X1: $int] :
( ~ sorted(rev(X0,X1),X1)
| ~ sorted(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
! [X0: array,X1: $int] :
( ~ sorted(rev(X0,X1),X1)
| ~ sorted(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
tff(f30,plain,
! [X0: array,X1: $int] :
( sorted(X0,X1)
=> ~ sorted(rev(X0,X1),X1) ),
inference(flattening,[],[f29]) ).
tff(f29,plain,
~ ~ ! [X0: array,X1: $int] :
( sorted(X0,X1)
=> ~ sorted(rev(X0,X1),X1) ),
inference(rectify,[],[f11]) ).
tff(f11,negated_conjecture,
~ ~ ! [X0: array,X5: $int] :
( sorted(X0,X5)
=> ~ sorted(rev(X0,X5),X5) ),
inference(negated_conjecture,[],[f10]) ).
tff(f10,conjecture,
~ ! [X0: array,X5: $int] :
( sorted(X0,X5)
=> ~ sorted(rev(X0,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).
tff(f262,plain,
! [X0: array] :
( sorted(rev(X0,0),0)
| ~ $less(sK2(X0,0),0) ),
inference(resolution,[],[f259,f66]) ).
tff(f259,plain,
! [X0: array] :
( ~ sP0(rev(X0,0),0)
| ~ $less(sK2(X0,0),0) ),
inference(resolution,[],[f257,f62]) ).
tff(f257,plain,
! [X0: array,X1: $int] :
( ~ $less(sK2(rev(X0,X1),X1),0)
| ~ $less(sK2(X0,X1),0) ),
inference(resolution,[],[f256,f117]) ).
tff(f256,plain,
! [X0: array,X1: $int] :
( ~ sorted(X0,X1)
| ~ $less(sK2(rev(X0,X1),X1),0) ),
inference(resolution,[],[f117,f58]) ).
tff(f289,plain,
! [X0: array] : ~ sorted(X0,0),
inference(resolution,[],[f288,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : DAT076_1 : TPTP v8.1.2. Released v6.1.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Apr 29 22:19:58 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % (12403)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.38 % (12406)WARNING: value z3 for option sas not known
% 0.12/0.38 % (12408)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)
% 0.12/0.38 % (12409)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)
% 0.18/0.39 % (12409)First to succeed.
% 0.18/0.39 % (12405)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.39 % (12405)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.39 % (12405)Terminated due to inappropriate strategy.
% 0.18/0.39 % (12405)------------------------------
% 0.18/0.39 % (12405)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.39 % (12405)Termination reason: Inappropriate
% 0.18/0.39
% 0.18/0.39 % (12405)Memory used [KB]: 801
% 0.18/0.39 % (12405)Time elapsed: 0.005 s
% 0.18/0.39 % (12405)Instructions burned: 3 (million)
% 0.18/0.39 % (12405)------------------------------
% 0.18/0.39 % (12405)------------------------------
% 0.18/0.39 % (12410)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)
% 0.18/0.39 % (12409)Refutation found. Thanks to Tanya!
% 0.18/0.39 % SZS status Theorem for theBenchmark
% 0.18/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.39 % (12409)------------------------------
% 0.18/0.39 % (12409)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.39 % (12409)Termination reason: Refutation
% 0.18/0.39
% 0.18/0.39 % (12409)Memory used [KB]: 912
% 0.18/0.39 % (12409)Time elapsed: 0.011 s
% 0.18/0.39 % (12409)Instructions burned: 14 (million)
% 0.18/0.39 % (12409)------------------------------
% 0.18/0.39 % (12409)------------------------------
% 0.18/0.39 % (12403)Success in time 0.04 s
% 0.18/0.39 12410 Aborted by signal SIGHUP on /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39 % (12410)------------------------------
% 0.18/0.39 % (12410)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.39 % (12410)Termination reason: Unknown
% 0.18/0.39 % (12410)Termination phase: Saturation
% 0.18/0.39
% 0.18/0.39 % (12410)Memory used [KB]: 821
% 0.18/0.39 % (12410)Time elapsed: 0.007 s
% 0.18/0.39 % (12410)Instructions burned: 4 (million)
% 0.18/0.39 % (12410)------------------------------
% 0.18/0.39 % (12410)------------------------------
% 0.18/0.39 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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%------------------------------------------------------------------------------