TSTP Solution File: DAT013_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT013_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_uns --cores 0 -t %d %s
% Computer : n020.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 16:03:54 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 38 ( 15 unt; 7 typ; 0 def)
% Number of atoms : 91 ( 1 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 100 ( 40 ~; 21 |; 28 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 208 ( 89 atm; 27 fun; 47 num; 45 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 : 11 ( 6 usr; 8 con; 0-3 aty)
% Number of variables : 52 ( 34 !; 18 ?; 52 :)
% 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: $int ).
tff(func_def_8,type,
sK1: $int ).
tff(func_def_9,type,
sK2: array ).
tff(func_def_10,type,
sK3: $int ).
tff(f440,plain,
$false,
inference(subsumption_resolution,[],[f435,f33]) ).
tff(f33,plain,
~ $less(sK3,$sum(3,sK0)),
inference(backward_demodulation,[],[f27,f6]) ).
tff(f6,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f27,plain,
~ $less(sK3,$sum(sK0,3)),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
( ! [X3: $int] :
( $less(sK1,X3)
| $less(X3,sK0)
| $less(0,read(sK2,X3)) )
& ~ $less(sK1,sK3)
& ~ $less(0,read(sK2,sK3))
& ~ $less(sK3,$sum(sK0,3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f22,f24,f23]) ).
tff(f23,plain,
( ? [X0: $int,X1: $int,X2: array] :
( ! [X3: $int] :
( $less(X1,X3)
| $less(X3,X0)
| $less(0,read(X2,X3)) )
& ? [X4: $int] :
( ~ $less(X1,X4)
& ~ $less(0,read(X2,X4))
& ~ $less(X4,$sum(X0,3)) ) )
=> ( ! [X3: $int] :
( $less(sK1,X3)
| $less(X3,sK0)
| $less(0,read(sK2,X3)) )
& ? [X4: $int] :
( ~ $less(sK1,X4)
& ~ $less(0,read(sK2,X4))
& ~ $less(X4,$sum(sK0,3)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f24,plain,
( ? [X4: $int] :
( ~ $less(sK1,X4)
& ~ $less(0,read(sK2,X4))
& ~ $less(X4,$sum(sK0,3)) )
=> ( ~ $less(sK1,sK3)
& ~ $less(0,read(sK2,sK3))
& ~ $less(sK3,$sum(sK0,3)) ) ),
introduced(choice_axiom,[]) ).
tff(f22,plain,
? [X0: $int,X1: $int,X2: array] :
( ! [X3: $int] :
( $less(X1,X3)
| $less(X3,X0)
| $less(0,read(X2,X3)) )
& ? [X4: $int] :
( ~ $less(X1,X4)
& ~ $less(0,read(X2,X4))
& ~ $less(X4,$sum(X0,3)) ) ),
inference(rectify,[],[f21]) ).
tff(f21,plain,
? [X1: $int,X2: $int,X0: array] :
( ! [X3: $int] :
( $less(X2,X3)
| $less(X3,X1)
| $less(0,read(X0,X3)) )
& ? [X4: $int] :
( ~ $less(X2,X4)
& ~ $less(0,read(X0,X4))
& ~ $less(X4,$sum(X1,3)) ) ),
inference(flattening,[],[f20]) ).
tff(f20,plain,
? [X1: $int,X2: $int,X0: array] :
( ? [X4: $int] :
( ~ $less(0,read(X0,X4))
& ~ $less(X4,$sum(X1,3))
& ~ $less(X2,X4) )
& ! [X3: $int] :
( $less(0,read(X0,X3))
| $less(X3,X1)
| $less(X2,X3) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,plain,
~ ! [X1: $int,X2: $int,X0: array] :
( ! [X3: $int] :
( ( ~ $less(X3,X1)
& ~ $less(X2,X3) )
=> $less(0,read(X0,X3)) )
=> ! [X4: $int] :
( ( ~ $less(X4,$sum(X1,3))
& ~ $less(X2,X4) )
=> $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(f435,plain,
$less(sK3,$sum(3,sK0)),
inference(evaluation,[],[f430]) ).
tff(f430,plain,
$less(sK3,$sum($sum(2,sK0),1)),
inference(resolution,[],[f304,f48]) ).
tff(f48,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f15,f11]) ).
tff(f11,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f304,plain,
! [X1: $int] :
( ~ $less($sum(2,sK0),X1)
| $less(sK3,X1) ),
inference(resolution,[],[f302,f12]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less(X0,X2)
| ~ $less(X1,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f302,plain,
$less(sK3,$sum(2,sK0)),
inference(evaluation,[],[f295]) ).
tff(f295,plain,
$less(sK3,$sum($sum(1,sK0),1)),
inference(resolution,[],[f155,f48]) ).
tff(f155,plain,
! [X1: $int] :
( ~ $less($sum(1,sK0),X1)
| $less(sK3,X1) ),
inference(resolution,[],[f135,f12]) ).
tff(f135,plain,
$less(sK3,$sum(1,sK0)),
inference(forward_demodulation,[],[f129,f6]) ).
tff(f129,plain,
$less(sK3,$sum(sK0,1)),
inference(resolution,[],[f93,f48]) ).
tff(f93,plain,
! [X17: $int] :
( ~ $less(sK0,X17)
| $less(sK3,X17) ),
inference(resolution,[],[f12,f35]) ).
tff(f35,plain,
$less(sK3,sK0),
inference(subsumption_resolution,[],[f34,f29]) ).
tff(f29,plain,
~ $less(sK1,sK3),
inference(cnf_transformation,[],[f25]) ).
tff(f34,plain,
( $less(sK3,sK0)
| $less(sK1,sK3) ),
inference(resolution,[],[f30,f28]) ).
tff(f28,plain,
~ $less(0,read(sK2,sK3)),
inference(cnf_transformation,[],[f25]) ).
tff(f30,plain,
! [X3: $int] :
( $less(0,read(sK2,X3))
| $less(X3,sK0)
| $less(sK1,X3) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : DAT013=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 20:18:30 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.49 % (12689)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.49 % (12666)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.49 % (12671)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.49 % (12668)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.49 % (12665)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49 % (12665)Instruction limit reached!
% 0.20/0.49 % (12665)------------------------------
% 0.20/0.49 % (12665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (12665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (12665)Termination reason: Unknown
% 0.20/0.49 % (12665)Termination phase: Property scanning
% 0.20/0.49
% 0.20/0.49 % (12665)Memory used [KB]: 895
% 0.20/0.49 % (12665)Time elapsed: 0.002 s
% 0.20/0.49 % (12665)Instructions burned: 2 (million)
% 0.20/0.49 % (12665)------------------------------
% 0.20/0.49 % (12665)------------------------------
% 0.20/0.49 % (12680)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (12680)Instruction limit reached!
% 0.20/0.50 % (12680)------------------------------
% 0.20/0.50 % (12680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (12678)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (12680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (12664)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51 % (12680)Termination reason: Unknown
% 0.20/0.51 % (12680)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (12680)Memory used [KB]: 5500
% 0.20/0.51 % (12680)Time elapsed: 0.116 s
% 0.20/0.51 % (12680)Instructions burned: 2 (million)
% 0.20/0.51 % (12680)------------------------------
% 0.20/0.51 % (12680)------------------------------
% 0.20/0.51 % (12674)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.51 % (12675)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (12663)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.51 % (12677)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.51 % (12692)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.51 % (12693)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.51 % (12692)Refutation not found, incomplete strategy% (12692)------------------------------
% 0.20/0.51 % (12692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (12692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (12692)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (12692)Memory used [KB]: 5373
% 0.20/0.51 % (12692)Time elapsed: 0.134 s
% 0.20/0.51 % (12692)Instructions burned: 1 (million)
% 0.20/0.51 % (12692)------------------------------
% 0.20/0.51 % (12692)------------------------------
% 0.20/0.51 % (12694)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.20/0.51 % (12675)Instruction limit reached!
% 0.20/0.51 % (12675)------------------------------
% 0.20/0.51 % (12675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (12683)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (12691)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.51 % (12662)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.20/0.51 % (12687)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (12674)Instruction limit reached!
% 0.20/0.51 % (12674)------------------------------
% 0.20/0.51 % (12674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (12674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (12674)Termination reason: Unknown
% 0.20/0.51 % (12674)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (12674)Memory used [KB]: 5500
% 0.20/0.51 % (12674)Time elapsed: 0.126 s
% 0.20/0.51 % (12674)Instructions burned: 4 (million)
% 0.20/0.51 % (12674)------------------------------
% 0.20/0.51 % (12674)------------------------------
% 0.20/0.51 % (12683)Instruction limit reached!
% 0.20/0.51 % (12683)------------------------------
% 0.20/0.51 % (12683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (12689)First to succeed.
% 0.20/0.51 % (12683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (12683)Termination reason: Unknown
% 0.20/0.51 % (12683)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (12683)Memory used [KB]: 1023
% 0.20/0.51 % (12683)Time elapsed: 0.003 s
% 0.20/0.51 % (12683)Instructions burned: 2 (million)
% 0.20/0.51 % (12683)------------------------------
% 0.20/0.51 % (12683)------------------------------
% 0.20/0.52 % (12689)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (12689)------------------------------
% 0.20/0.52 % (12689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12689)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (12689)Memory used [KB]: 1279
% 0.20/0.52 % (12689)Time elapsed: 0.125 s
% 0.20/0.52 % (12689)Instructions burned: 23 (million)
% 0.20/0.52 % (12689)------------------------------
% 0.20/0.52 % (12689)------------------------------
% 0.20/0.52 % (12659)Success in time 0.171 s
%------------------------------------------------------------------------------