TSTP Solution File: DAT009_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT009_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 : 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 11:03:27 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 43 ( 14 unt; 7 typ; 0 def)
% Number of atoms : 70 ( 25 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 60 ( 26 ~; 14 |; 15 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 145 ( 44 atm; 22 fun; 20 num; 59 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 : 9 ( 6 usr; 6 con; 0-3 aty)
% Number of variables : 78 ( 60 !; 18 ?; 78 :)
% 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: array ).
tff(func_def_9,type,
sK2: $int ).
tff(func_def_10,type,
sK3: $int ).
tff(f1116,plain,
$false,
inference(evaluation,[],[f1107]) ).
tff(f1107,plain,
~ $less(1,3),
inference(resolution,[],[f1102,f54]) ).
tff(f54,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f43,f6]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f43,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(f1102,plain,
! [X0: $int] :
( ~ $less(sK2,$sum(X0,sK2))
| ~ $less(X0,3) ),
inference(resolution,[],[f800,f14]) ).
tff(f14,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_145,[]) ).
tff(f800,plain,
! [X0: $int] :
( ~ $less(X0,$sum(3,sK2))
| ~ $less(sK2,X0) ),
inference(forward_demodulation,[],[f799,f664]) ).
tff(f664,plain,
sK2 = sK3,
inference(resolution,[],[f647,f27]) ).
tff(f27,plain,
~ $less(sK3,read(sK0,sK3)),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ~ $less(sK3,read(sK0,sK3))
& ( sK0 = write(sK1,sK2,$sum(sK2,3)) )
& ! [X4: $int] : $less(X4,read(sK1,X4)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f21,f23,f22]) ).
tff(f22,plain,
( ? [X0: array,X1: array,X2: $int] :
( ? [X3: $int] : ~ $less(X3,read(X0,X3))
& ( write(X1,X2,$sum(X2,3)) = X0 )
& ! [X4: $int] : $less(X4,read(X1,X4)) )
=> ( ? [X3: $int] : ~ $less(X3,read(sK0,X3))
& ( sK0 = write(sK1,sK2,$sum(sK2,3)) )
& ! [X4: $int] : $less(X4,read(sK1,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f23,plain,
( ? [X3: $int] : ~ $less(X3,read(sK0,X3))
=> ~ $less(sK3,read(sK0,sK3)) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
? [X0: array,X1: array,X2: $int] :
( ? [X3: $int] : ~ $less(X3,read(X0,X3))
& ( write(X1,X2,$sum(X2,3)) = X0 )
& ! [X4: $int] : $less(X4,read(X1,X4)) ),
inference(rectify,[],[f20]) ).
tff(f20,plain,
? [X0: array,X1: array,X2: $int] :
( ? [X4: $int] : ~ $less(X4,read(X0,X4))
& ( write(X1,X2,$sum(X2,3)) = X0 )
& ! [X3: $int] : $less(X3,read(X1,X3)) ),
inference(flattening,[],[f19]) ).
tff(f19,plain,
? [X0: array,X1: array,X2: $int] :
( ? [X4: $int] : ~ $less(X4,read(X0,X4))
& ( write(X1,X2,$sum(X2,3)) = X0 )
& ! [X3: $int] : $less(X3,read(X1,X3)) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,plain,
~ ! [X0: array,X1: array,X2: $int] :
( ( ( write(X1,X2,$sum(X2,3)) = X0 )
& ! [X3: $int] : $less(X3,read(X1,X3)) )
=> ! [X4: $int] : $less(X4,read(X0,X4)) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X0: array,X1: array,X2: $int] :
( ( ( write(X1,X2,$sum(X2,3)) = X0 )
& ! [X3: $int] : $greater(read(X1,X3),X3) )
=> ! [X4: $int] : $greater(read(X0,X4),X4) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X0: array,X1: array,X2: $int] :
( ( ( write(X1,X2,$sum(X2,3)) = X0 )
& ! [X3: $int] : $greater(read(X1,X3),X3) )
=> ! [X4: $int] : $greater(read(X0,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f647,plain,
! [X0: $int] :
( $less(X0,read(sK0,X0))
| ( sK2 = X0 ) ),
inference(superposition,[],[f25,f624]) ).
tff(f624,plain,
! [X0: $int] :
( ( read(sK1,X0) = read(sK0,X0) )
| ( sK2 = X0 ) ),
inference(superposition,[],[f29,f30]) ).
tff(f30,plain,
sK0 = write(sK1,sK2,$sum(3,sK2)),
inference(forward_demodulation,[],[f26,f6]) ).
tff(f26,plain,
sK0 = write(sK1,sK2,$sum(sK2,3)),
inference(cnf_transformation,[],[f24]) ).
tff(f29,plain,
! [X2: $int,X3: $int,X0: array,X1: $int] :
( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: array,X1: $int,X2: $int,X3: $int] :
( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
| ( X1 = X2 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X3: array,X4: $int,X5: $int,X6: $int] :
( ( read(write(X3,X4,X6),X5) = read(X3,X5) )
| ( X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f25,plain,
! [X4: $int] : $less(X4,read(sK1,X4)),
inference(cnf_transformation,[],[f24]) ).
tff(f799,plain,
! [X0: $int] :
( ~ $less(X0,$sum(3,sK2))
| ~ $less(sK3,X0) ),
inference(forward_demodulation,[],[f674,f70]) ).
tff(f70,plain,
$sum(3,sK2) = read(sK0,sK2),
inference(superposition,[],[f28,f30]) ).
tff(f28,plain,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f674,plain,
! [X0: $int] :
( ~ $less(X0,read(sK0,sK2))
| ~ $less(sK3,X0) ),
inference(backward_demodulation,[],[f82,f664]) ).
tff(f82,plain,
! [X0: $int] :
( ~ $less(X0,read(sK0,sK3))
| ~ $less(sK3,X0) ),
inference(resolution,[],[f12,f27]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT009_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Mon Apr 29 22:35:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (25288)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (25295)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 % (25293)WARNING: value z3 for option sas not known
% 0.14/0.37 % (25292)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 % (25294)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (25293)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 % (25291)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (25296)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 % (25297)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 % (25292)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (25292)Terminated due to inappropriate strategy.
% 0.14/0.37 % (25292)------------------------------
% 0.14/0.37 % (25292)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (25292)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (25292)Memory used [KB]: 742
% 0.14/0.37 % (25292)Time elapsed: 0.002 s
% 0.14/0.37 % (25292)Instructions burned: 2 (million)
% 0.14/0.37 % (25292)------------------------------
% 0.14/0.37 % (25292)------------------------------
% 0.14/0.37 % (25294)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (25294)Terminated due to inappropriate strategy.
% 0.14/0.37 % (25294)------------------------------
% 0.14/0.37 % (25294)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (25294)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (25294)Memory used [KB]: 742
% 0.14/0.37 % (25294)Time elapsed: 0.002 s
% 0.14/0.37 % (25294)Instructions burned: 2 (million)
% 0.14/0.37 % (25294)------------------------------
% 0.14/0.37 % (25294)------------------------------
% 0.14/0.37 % (25291)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.37 % (25291)Terminated due to inappropriate strategy.
% 0.14/0.37 % (25291)------------------------------
% 0.14/0.37 % (25291)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (25291)Termination reason: Inappropriate
% 0.14/0.37
% 0.14/0.37 % (25291)Memory used [KB]: 742
% 0.14/0.37 % (25291)Time elapsed: 0.003 s
% 0.14/0.37 % (25291)Instructions burned: 2 (million)
% 0.14/0.37 % (25291)------------------------------
% 0.14/0.37 % (25291)------------------------------
% 0.14/0.38 % (25305)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.38 % (25306)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)
% 0.14/0.38 % (25307)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)
% 0.14/0.38 % (25305)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (25305)Terminated due to inappropriate strategy.
% 0.14/0.38 % (25305)------------------------------
% 0.14/0.38 % (25305)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (25305)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (25305)Memory used [KB]: 742
% 0.14/0.38 % (25305)Time elapsed: 0.002 s
% 0.14/0.38 % (25305)Instructions burned: 2 (million)
% 0.14/0.38 % (25305)------------------------------
% 0.14/0.38 % (25305)------------------------------
% 0.21/0.40 % (25315)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.21/0.41 % (25296)First to succeed.
% 0.21/0.41 % (25296)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (25296)------------------------------
% 0.21/0.41 % (25296)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.41 % (25296)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (25296)Memory used [KB]: 1103
% 0.21/0.41 % (25296)Time elapsed: 0.044 s
% 0.21/0.41 % (25296)Instructions burned: 78 (million)
% 0.21/0.41 % (25296)------------------------------
% 0.21/0.41 % (25296)------------------------------
% 0.21/0.41 % (25288)Success in time 0.059 s
%------------------------------------------------------------------------------