TSTP Solution File: DAT015_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT015_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 16:04:37 EDT 2022
% Result : Theorem 1.66s 0.57s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 18 unt; 4 typ; 0 def)
% Number of atoms : 72 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 64 ( 25 ~; 23 |; 9 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 199 ( 46 atm; 34 fun; 76 num; 43 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 : 50 ( 43 !; 7 ?; 50 :)
% 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(f384,plain,
$false,
inference(trivial_inequality_removal,[],[f383]) ).
tff(f383,plain,
50 != 50,
inference(superposition,[],[f29,f382]) ).
tff(f382,plain,
50 = read(sK0,25),
inference(evaluation,[],[f375]) ).
tff(f375,plain,
( ( $sum($sum(5,20),25) = read(sK0,$sum(5,20)) )
| ~ $less($sum(5,20),30) ),
inference(resolution,[],[f347,f122]) ).
tff(f122,plain,
! [X1: $int] :
( ~ $less(20,X1)
| ~ $less(X1,30)
| ( $sum(X1,25) = read(sK0,X1) ) ),
inference(resolution,[],[f105,f91]) ).
tff(f91,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less(X0,X1) ),
inference(resolution,[],[f12,f11]) ).
tff(f11,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X0,X1)
| ~ $less(X1,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f105,plain,
! [X3: $int] :
( $less(30,X3)
| ~ $less(20,X3)
| ( $sum(X3,25) = read(sK0,X3) ) ),
inference(resolution,[],[f91,f28]) ).
tff(f28,plain,
! [X2: $int] :
( $less(X2,20)
| ( $sum(X2,25) = read(sK0,X2) )
| $less(30,X2) ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
( ! [X1: $int] : ( 50 != read(sK0,X1) )
& ! [X2: $int] :
( $less(30,X2)
| $less(X2,20)
| ( $sum(X2,25) = read(sK0,X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).
tff(f24,plain,
( ? [X0: array] :
( ! [X1: $int] : ( read(X0,X1) != 50 )
& ! [X2: $int] :
( $less(30,X2)
| $less(X2,20)
| ( read(X0,X2) = $sum(X2,25) ) ) )
=> ( ! [X1: $int] : ( 50 != read(sK0,X1) )
& ! [X2: $int] :
( $less(30,X2)
| $less(X2,20)
| ( $sum(X2,25) = read(sK0,X2) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f23,plain,
? [X0: array] :
( ! [X1: $int] : ( read(X0,X1) != 50 )
& ! [X2: $int] :
( $less(30,X2)
| $less(X2,20)
| ( read(X0,X2) = $sum(X2,25) ) ) ),
inference(rectify,[],[f21]) ).
tff(f21,plain,
? [X0: array] :
( ! [X2: $int] : ( read(X0,X2) != 50 )
& ! [X1: $int] :
( $less(30,X1)
| $less(X1,20)
| ( read(X0,X1) = $sum(X1,25) ) ) ),
inference(flattening,[],[f20]) ).
tff(f20,plain,
? [X0: array] :
( ! [X2: $int] : ( read(X0,X2) != 50 )
& ! [X1: $int] :
( ( read(X0,X1) = $sum(X1,25) )
| $less(X1,20)
| $less(30,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,plain,
~ ! [X0: array] :
( ! [X1: $int] :
( ( ~ $less(X1,20)
& ~ $less(30,X1) )
=> ( 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(20,X1)
& $lesseq(X1,30) )
=> ( read(X0,X1) = $sum(X1,25) ) )
=> ? [X2: $int] : ( read(X0,X2) = 50 ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X0: array] :
( ! [X1: $int] :
( ( $lesseq(20,X1)
& $lesseq(X1,30) )
=> ( read(X0,X1) = $sum(X1,25) ) )
=> ? [X2: $int] : ( read(X0,X2) = 50 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f347,plain,
! [X3: $int] : $less(X3,$sum(5,X3)),
inference(evaluation,[],[f340]) ).
tff(f340,plain,
! [X3: $int] : $less(X3,$sum(4,$sum(X3,1))),
inference(resolution,[],[f327,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f327,plain,
! [X1: $int] : ~ $less($sum(4,X1),X1),
inference(resolution,[],[f249,f91]) ).
tff(f249,plain,
! [X3: $int] : $less(X3,$sum(4,X3)),
inference(evaluation,[],[f243]) ).
tff(f243,plain,
! [X3: $int] : $less(X3,$sum(3,$sum(X3,1))),
inference(resolution,[],[f229,f15]) ).
tff(f229,plain,
! [X0: $int] : ~ $less($sum(3,X0),X0),
inference(resolution,[],[f191,f91]) ).
tff(f191,plain,
! [X3: $int] : $less(X3,$sum(3,X3)),
inference(evaluation,[],[f185]) ).
tff(f185,plain,
! [X3: $int] : $less(X3,$sum(2,$sum(X3,1))),
inference(resolution,[],[f171,f15]) ).
tff(f171,plain,
! [X0: $int] : ~ $less($sum(2,X0),X0),
inference(resolution,[],[f158,f91]) ).
tff(f158,plain,
! [X3: $int] : $less(X3,$sum(2,X3)),
inference(evaluation,[],[f151]) ).
tff(f151,plain,
! [X3: $int] : $less(X3,$sum($sum(X3,1),1)),
inference(resolution,[],[f100,f15]) ).
tff(f100,plain,
! [X6: $int] : ~ $less($sum(X6,1),X6),
inference(resolution,[],[f91,f52]) ).
tff(f52,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f15,f11]) ).
tff(f29,plain,
! [X1: $int] : ( 50 != read(sK0,X1) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT015=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n004.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 20:12:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 % (6674)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (6676)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (6675)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.50 % (6697)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.50 % (6698)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.50 % (6689)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (6671)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (6677)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (6684)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (6692)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.51 % (6694)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.51 % (6682)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51 % (6672)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.51 % (6688)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (6676)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.51 % (6676)Terminated due to inappropriate strategy.
% 0.21/0.51 % (6676)------------------------------
% 0.21/0.51 % (6676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (6676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (6676)Termination reason: Inappropriate
% 0.21/0.52
% 0.21/0.52 % (6676)Memory used [KB]: 895
% 0.21/0.52 % (6676)Time elapsed: 0.002 s
% 0.21/0.52 % (6676)Instructions burned: 1 (million)
% 0.21/0.52 % (6676)------------------------------
% 0.21/0.52 % (6676)------------------------------
% 0.21/0.52 % (6690)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.52 % (6685)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.52 % (6670)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.52 % (6670)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.52 % (6670)Terminated due to inappropriate strategy.
% 0.21/0.52 % (6670)------------------------------
% 0.21/0.52 % (6670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (6670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (6670)Termination reason: Inappropriate
% 0.21/0.52
% 0.21/0.52 % (6670)Memory used [KB]: 895
% 0.21/0.52 % (6670)Time elapsed: 0.002 s
% 0.21/0.52 % (6670)------------------------------
% 0.21/0.52 % (6670)------------------------------
% 0.21/0.53 % (6679)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (6686)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53 % (6695)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53 % (6693)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.53 % (6681)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (6673)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (6677)Instruction limit reached!
% 0.21/0.53 % (6677)------------------------------
% 0.21/0.53 % (6677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (6677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (6677)Termination reason: Unknown
% 0.21/0.53 % (6677)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (6677)Memory used [KB]: 5500
% 0.21/0.53 % (6677)Time elapsed: 0.150 s
% 0.21/0.53 % (6677)Instructions burned: 8 (million)
% 0.21/0.53 % (6677)------------------------------
% 0.21/0.53 % (6677)------------------------------
% 0.21/0.53 % (6678)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (6678)Instruction limit reached!
% 0.21/0.54 % (6678)------------------------------
% 0.21/0.54 % (6678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (6678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (6678)Termination reason: Unknown
% 0.21/0.54 % (6678)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (6678)Memory used [KB]: 5373
% 0.21/0.54 % (6678)Time elapsed: 0.002 s
% 0.21/0.54 % (6678)Instructions burned: 2 (million)
% 0.21/0.54 % (6678)------------------------------
% 0.21/0.54 % (6678)------------------------------
% 0.21/0.54 % (6691)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54 % (6699)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.54 % (6696)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54 % (6687)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.54 % (6683)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (6687)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.54 % (6687)Terminated due to inappropriate strategy.
% 0.21/0.54 % (6687)------------------------------
% 0.21/0.54 % (6687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (6687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (6687)Termination reason: Inappropriate
% 0.21/0.54
% 0.21/0.54 % (6687)Memory used [KB]: 895
% 0.21/0.54 % (6687)Time elapsed: 0.001 s
% 0.21/0.54 % (6687)------------------------------
% 0.21/0.54 % (6687)------------------------------
% 1.47/0.55 % (6680)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.55 % (6679)First to succeed.
% 1.47/0.55 % (6674)Instruction limit reached!
% 1.47/0.55 % (6674)------------------------------
% 1.47/0.55 % (6674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57 % (6679)Refutation found. Thanks to Tanya!
% 1.66/0.57 % SZS status Theorem for theBenchmark
% 1.66/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.57 % (6679)------------------------------
% 1.66/0.57 % (6679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57 % (6679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57 % (6679)Termination reason: Refutation
% 1.66/0.57
% 1.66/0.57 % (6679)Memory used [KB]: 1151
% 1.66/0.57 % (6679)Time elapsed: 0.130 s
% 1.66/0.57 % (6679)Instructions burned: 14 (million)
% 1.66/0.57 % (6679)------------------------------
% 1.66/0.57 % (6679)------------------------------
% 1.66/0.57 % (6669)Success in time 0.212 s
%------------------------------------------------------------------------------