TSTP Solution File: DAT016_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT016_1 : TPTP v8.1.0. Bugfixed v5.1.0.
% 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 : n023.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 16:04:38 EDT 2022
% Result : Theorem 1.75s 0.58s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 19 unt; 4 typ; 0 def)
% Number of atoms : 78 ( 27 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 67 ( 25 ~; 26 |; 9 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 244 ( 50 atm; 52 fun; 94 num; 48 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 : 14 ( 3 usr; 10 con; 0-3 aty)
% Number of variables : 55 ( 48 !; 7 ?; 55 :)
% 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_12,type,
sK0: array ).
tff(f446,plain,
$false,
inference(trivial_inequality_removal,[],[f445]) ).
tff(f445,plain,
53 != 53,
inference(superposition,[],[f35,f444]) ).
tff(f444,plain,
53 = read(sK0,25),
inference(evaluation,[],[f437]) ).
tff(f437,plain,
( ( $sum(3,$product(2,$sum(5,20))) = read(sK0,$sum(5,20)) )
| ~ $less($sum(5,20),30) ),
inference(resolution,[],[f358,f157]) ).
tff(f157,plain,
! [X1: $int] :
( ~ $less(X1,30)
| ~ $less(20,X1)
| ( $sum(3,$product(2,X1)) = read(sK0,X1) ) ),
inference(resolution,[],[f145,f124]) ).
tff(f124,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(f145,plain,
! [X0: $int] :
( $less(30,X0)
| ( read(sK0,X0) = $sum(3,$product(2,X0)) )
| ~ $less(20,X0) ),
inference(resolution,[],[f124,f37]) ).
tff(f37,plain,
! [X2: $int] :
( $less(X2,20)
| ( $sum(3,$product(2,X2)) = read(sK0,X2) )
| $less(30,X2) ),
inference(backward_demodulation,[],[f34,f6]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f34,plain,
! [X2: $int] :
( ( $sum($product(2,X2),3) = read(sK0,X2) )
| $less(30,X2)
| $less(X2,20) ),
inference(cnf_transformation,[],[f31]) ).
tff(f31,plain,
( ! [X1: $int] : ( 53 != read(sK0,X1) )
& ! [X2: $int] :
( ( $sum($product(2,X2),3) = read(sK0,X2) )
| $less(30,X2)
| $less(X2,20) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f30]) ).
tff(f30,plain,
( ? [X0: array] :
( ! [X1: $int] : ( read(X0,X1) != 53 )
& ! [X2: $int] :
( ( read(X0,X2) = $sum($product(2,X2),3) )
| $less(30,X2)
| $less(X2,20) ) )
=> ( ! [X1: $int] : ( 53 != read(sK0,X1) )
& ! [X2: $int] :
( ( $sum($product(2,X2),3) = read(sK0,X2) )
| $less(30,X2)
| $less(X2,20) ) ) ),
introduced(choice_axiom,[]) ).
tff(f29,plain,
? [X0: array] :
( ! [X1: $int] : ( read(X0,X1) != 53 )
& ! [X2: $int] :
( ( read(X0,X2) = $sum($product(2,X2),3) )
| $less(30,X2)
| $less(X2,20) ) ),
inference(rectify,[],[f27]) ).
tff(f27,plain,
? [X0: array] :
( ! [X2: $int] : ( read(X0,X2) != 53 )
& ! [X1: $int] :
( ( read(X0,X1) = $sum($product(2,X1),3) )
| $less(30,X1)
| $less(X1,20) ) ),
inference(flattening,[],[f26]) ).
tff(f26,plain,
? [X0: array] :
( ! [X2: $int] : ( read(X0,X2) != 53 )
& ! [X1: $int] :
( ( read(X0,X1) = $sum($product(2,X1),3) )
| $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) = $sum($product(2,X1),3) ) )
=> ? [X2: $int] : ( read(X0,X2) = 53 ) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,negated_conjecture,
~ ! [X0: array] :
( ! [X1: $int] :
( ( $lesseq(20,X1)
& $lesseq(X1,30) )
=> ( read(X0,X1) = $sum($product(2,X1),3) ) )
=> ? [X2: $int] : ( read(X0,X2) = 53 ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
! [X0: array] :
( ! [X1: $int] :
( ( $lesseq(20,X1)
& $lesseq(X1,30) )
=> ( read(X0,X1) = $sum($product(2,X1),3) ) )
=> ? [X2: $int] : ( read(X0,X2) = 53 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f358,plain,
! [X0: $int] : $less(X0,$sum(5,X0)),
inference(evaluation,[],[f348]) ).
tff(f348,plain,
! [X0: $int] : $less(X0,$sum(4,$sum(1,X0))),
inference(resolution,[],[f299,f77]) ).
tff(f77,plain,
! [X2: $int,X3: $int] :
( $less(X3,$sum(1,X2))
| $less(X2,X3) ),
inference(superposition,[],[f15,f6]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f299,plain,
! [X0: $int] : ~ $less($sum(4,X0),X0),
inference(resolution,[],[f275,f124]) ).
tff(f275,plain,
! [X0: $int] : $less(X0,$sum(4,X0)),
inference(evaluation,[],[f265]) ).
tff(f265,plain,
! [X0: $int] : $less(X0,$sum(3,$sum(1,X0))),
inference(resolution,[],[f254,f77]) ).
tff(f254,plain,
! [X1: $int] : ~ $less($sum(3,X1),X1),
inference(resolution,[],[f229,f124]) ).
tff(f229,plain,
! [X0: $int] : $less(X0,$sum(3,X0)),
inference(evaluation,[],[f219]) ).
tff(f219,plain,
! [X0: $int] : $less(X0,$sum(2,$sum(X0,1))),
inference(resolution,[],[f208,f15]) ).
tff(f208,plain,
! [X1: $int] : ~ $less($sum(2,X1),X1),
inference(resolution,[],[f174,f124]) ).
tff(f174,plain,
! [X1: $int] : $less(X1,$sum(2,X1)),
inference(evaluation,[],[f165]) ).
tff(f165,plain,
! [X1: $int] : $less(X1,$sum($sum(1,X1),1)),
inference(resolution,[],[f138,f77]) ).
tff(f138,plain,
! [X3: $int] : ~ $less($sum(X3,1),X3),
inference(resolution,[],[f124,f75]) ).
tff(f75,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f15,f11]) ).
tff(f35,plain,
! [X1: $int] : ( 53 != read(sK0,X1) ),
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT016=1 : TPTP v8.1.0. Bugfixed v5.1.0.
% 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 : n023.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 20:37:50 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.49 % (16620)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)
% 0.21/0.50 % (16611)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.50 % (16602)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.50 % (16600)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51 % (16604)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 % (16600)Instruction limit reached!
% 0.21/0.51 % (16600)------------------------------
% 0.21/0.51 % (16600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (16600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (16600)Termination reason: Unknown
% 0.21/0.51 % (16600)Termination phase: Preprocessing 3
% 0.21/0.51
% 0.21/0.51 % (16600)Memory used [KB]: 895
% 0.21/0.51 % (16600)Time elapsed: 0.002 s
% 0.21/0.51 % (16600)Instructions burned: 2 (million)
% 0.21/0.51 % (16600)------------------------------
% 0.21/0.51 % (16600)------------------------------
% 0.21/0.51 % (16605)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (16593)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)
% 0.21/0.52 % (16608)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 % (16603)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)
% 0.21/0.52 % (16617)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.52 % (16596)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (16595)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 % (16597)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)
% 0.21/0.53 % (16592)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)
% 0.21/0.53 % (16598)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)
% 0.21/0.53 % (16598)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.53 % (16598)Terminated due to inappropriate strategy.
% 0.21/0.53 % (16598)------------------------------
% 0.21/0.53 % (16598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (16598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (16598)Termination reason: Inappropriate
% 0.21/0.53
% 0.21/0.53 % (16598)Memory used [KB]: 895
% 0.21/0.53 % (16598)Time elapsed: 0.001 s
% 0.21/0.53 % (16598)------------------------------
% 0.21/0.53 % (16598)------------------------------
% 0.21/0.53 % (16594)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)
% 0.21/0.53 % (16606)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)
% 0.21/0.53 % (16592)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.53 % (16592)Terminated due to inappropriate strategy.
% 0.21/0.53 % (16592)------------------------------
% 0.21/0.53 % (16592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (16592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (16592)Termination reason: Inappropriate
% 0.21/0.53
% 0.21/0.53 % (16592)Memory used [KB]: 895
% 0.21/0.53 % (16592)Time elapsed: 0.005 s
% 0.21/0.53 % (16592)Instructions burned: 2 (million)
% 0.21/0.53 % (16592)------------------------------
% 0.21/0.53 % (16592)------------------------------
% 0.21/0.53 % (16616)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)
% 0.21/0.54 % (16614)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 % (16601)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)
% 0.21/0.54 % (16618)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (16612)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)
% 0.21/0.54 % (16615)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)
% 0.21/0.54 % (16613)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)
% 0.21/0.54 % (16610)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.54 % (16623)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 % (16610)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.54 % (16610)Terminated due to inappropriate strategy.
% 0.21/0.54 % (16610)------------------------------
% 0.21/0.54 % (16610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (16610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (16610)Termination reason: Inappropriate
% 0.21/0.54
% 0.21/0.54 % (16610)Memory used [KB]: 895
% 0.21/0.54 % (16610)Time elapsed: 0.002 s
% 0.21/0.54 % (16610)Instructions burned: 2 (million)
% 0.21/0.54 % (16610)------------------------------
% 0.21/0.54 % (16610)------------------------------
% 0.21/0.55 % (16621)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)
% 0.21/0.55 % (16599)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (16599)Instruction limit reached!
% 0.21/0.55 % (16599)------------------------------
% 0.21/0.55 % (16599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (16609)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)
% 1.60/0.56 % (16622)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.60/0.56 % (16599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (16599)Termination reason: Unknown
% 1.60/0.56 % (16599)Termination phase: Saturation
% 1.60/0.56
% 1.60/0.56 % (16599)Memory used [KB]: 5500
% 1.60/0.56 % (16599)Time elapsed: 0.116 s
% 1.60/0.56 % (16599)Instructions burned: 7 (million)
% 1.60/0.56 % (16599)------------------------------
% 1.60/0.56 % (16599)------------------------------
% 1.75/0.57 % (16601)First to succeed.
% 1.75/0.58 % (16601)Refutation found. Thanks to Tanya!
% 1.75/0.58 % SZS status Theorem for theBenchmark
% 1.75/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.58 % (16601)------------------------------
% 1.75/0.58 % (16601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58 % (16601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58 % (16601)Termination reason: Refutation
% 1.75/0.58
% 1.75/0.58 % (16601)Memory used [KB]: 1151
% 1.75/0.58 % (16601)Time elapsed: 0.178 s
% 1.75/0.58 % (16601)Instructions burned: 17 (million)
% 1.75/0.58 % (16601)------------------------------
% 1.75/0.58 % (16601)------------------------------
% 1.75/0.58 % (16588)Success in time 0.22 s
%------------------------------------------------------------------------------