TSTP Solution File: DAT085_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT085_1 : TPTP v8.1.0. Released v6.1.0.
% 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 : n022.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 16:04:51 EDT 2022
% Result : Theorem 1.96s 0.62s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of formulae : 58 ( 27 unt; 16 typ; 0 def)
% Number of atoms : 58 ( 33 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 23 ~; 12 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 128 ( 24 atm; 27 fun; 32 num; 45 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 25 ( 14 >; 11 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_5,type,
length: list > $int ).
tff(func_def_8,type,
count: ( $int * list ) > $int ).
tff(func_def_9,type,
append: ( list * list ) > list ).
tff(func_def_11,type,
sK0: ( list * $int ) > $int ).
tff(func_def_12,type,
sK1: ( list * $int ) > list ).
tff(func_def_13,type,
sK2: ( list * $int ) > list ).
tff(func_def_14,type,
sK3: ( list * $int ) > $int ).
tff(func_def_15,type,
sK4: ( list * $int ) > $int ).
tff(func_def_16,type,
sK5: ( list * $int ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f684,plain,
$false,
inference(resolution,[],[f484,f280]) ).
tff(f280,plain,
! [X4: $int] : $less(X4,$sum(4,X4)),
inference(evaluation,[],[f274]) ).
tff(f274,plain,
! [X4: $int] : $less(X4,$sum(3,$sum(X4,1))),
inference(resolution,[],[f250,f28]) ).
tff(f28,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f250,plain,
! [X0: $int] : ~ $less($sum(3,X0),X0),
inference(resolution,[],[f230,f169]) ).
tff(f169,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
| ~ $less(X0,X1) ),
inference(resolution,[],[f25,f24]) ).
tff(f24,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f25,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X0,X1)
| ~ $less(X1,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f230,plain,
! [X3: $int] : $less(X3,$sum(3,X3)),
inference(evaluation,[],[f224]) ).
tff(f224,plain,
! [X3: $int] : $less(X3,$sum(2,$sum(1,X3))),
inference(resolution,[],[f213,f119]) ).
tff(f119,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f28,f19]) ).
tff(f19,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f213,plain,
! [X0: $int] : ~ $less($sum(2,X0),X0),
inference(resolution,[],[f201,f169]) ).
tff(f201,plain,
! [X3: $int] : $less(X3,$sum(2,X3)),
inference(evaluation,[],[f195]) ).
tff(f195,plain,
! [X3: $int] : $less(X3,$sum($sum(1,X3),1)),
inference(resolution,[],[f179,f119]) ).
tff(f179,plain,
! [X7: $int] : ~ $less($sum(X7,1),X7),
inference(resolution,[],[f169,f118]) ).
tff(f118,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f28,f24]) ).
tff(f484,plain,
! [X0: $int,X1: $int] : ~ $less(X1,X0),
inference(forward_demodulation,[],[f460,f72]) ).
tff(f72,plain,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: $int,X1: list] : ( head(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
tff(f460,plain,
! [X0: $int,X1: $int] : ~ $less(head(cons(X1,nil)),X0),
inference(superposition,[],[f188,f414]) ).
tff(f414,plain,
! [X6: $int,X5: $int] : ( head(cons(X6,nil)) = X5 ),
inference(superposition,[],[f72,f407]) ).
tff(f407,plain,
! [X0: $int,X1: $int] : ( cons(X1,nil) = cons(X0,nil) ),
inference(evaluation,[],[f404]) ).
tff(f404,plain,
! [X0: $int,X1: $int] :
( ( cons(X1,nil) = cons(X0,nil) )
| ( 1 != $sum(1,0) ) ),
inference(superposition,[],[f360,f70]) ).
tff(f70,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
0 = length(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).
tff(f360,plain,
! [X2: list,X3: $int,X1: $int] :
( ( 1 != $sum(1,length(X2)) )
| ( cons(X1,X2) = cons(X3,nil) ) ),
inference(superposition,[],[f358,f76]) ).
tff(f76,plain,
! [X0: $int,X1: list] : ( $sum(1,length(X1)) = length(cons(X0,X1)) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: $int,X1: list] : ( $sum(1,length(X1)) = length(cons(X0,X1)) ),
inference(rectify,[],[f31]) ).
tff(f31,plain,
! [X1: $int,X0: list] : ( $sum(1,length(X0)) = length(cons(X1,X0)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X4: list,X3: $int] : ( length(cons(X3,X4)) = $sum(1,length(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_1) ).
tff(f358,plain,
! [X0: list,X1: $int] :
( ( 1 != length(X0) )
| ( cons(X1,nil) = X0 ) ),
inference(evaluation,[],[f355]) ).
tff(f355,plain,
! [X0: list,X1: $int] :
( ( $sum(1,0) != length(X0) )
| ( cons(X1,nil) = X0 ) ),
inference(superposition,[],[f350,f70]) ).
tff(f350,plain,
! [X6: list,X7: list,X5: $int] :
( ( length(X7) != $sum(1,length(X6)) )
| ( cons(X5,X6) = X7 ) ),
inference(superposition,[],[f83,f76]) ).
tff(f83,plain,
! [X0: list,X1: list] :
( ( length(X1) != length(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0: list,X1: list] :
( ( X0 = X1 )
| ( length(X1) != length(X0) ) ),
inference(ennf_transformation,[],[f42]) ).
tff(f42,plain,
! [X0: list,X1: list] :
( ( length(X1) = length(X0) )
=> ( X0 = X1 ) ),
inference(flattening,[],[f41]) ).
tff(f41,plain,
~ ~ ! [X0: list,X1: list] :
( ( length(X1) = length(X0) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ~ ! [X8: list,X7: list] :
( ( length(X7) = length(X8) )
=> ( X7 = X8 ) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
~ ! [X8: list,X7: list] :
( ( length(X7) = length(X8) )
=> ( X7 = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).
tff(f188,plain,
! [X8: $int] : ~ $less($sum(1,X8),X8),
inference(resolution,[],[f169,f125]) ).
tff(f125,plain,
! [X1: $int] : $less(X1,$sum(1,X1)),
inference(superposition,[],[f118,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : DAT085=1 : TPTP v8.1.0. Released v6.1.0.
% 0.10/0.13 % 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 : n022.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 20:22:11 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (8508)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (8516)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)
% 0.20/0.52 % (8524)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (8508)Instruction limit reached!
% 0.20/0.53 % (8508)------------------------------
% 0.20/0.53 % (8508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8508)Termination reason: Unknown
% 0.20/0.53 % (8508)Termination phase: Blocked clause elimination
% 0.20/0.53
% 0.20/0.53 % (8508)Memory used [KB]: 895
% 0.20/0.53 % (8508)Time elapsed: 0.005 s
% 0.20/0.53 % (8508)Instructions burned: 3 (million)
% 0.20/0.53 % (8508)------------------------------
% 0.20/0.53 % (8508)------------------------------
% 0.20/0.53 % (8523)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)
% 0.20/0.53 % (8522)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)
% 0.20/0.54 % (8507)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (8507)Instruction limit reached!
% 0.20/0.55 % (8507)------------------------------
% 0.20/0.55 % (8507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (8507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (8507)Termination reason: Unknown
% 0.20/0.55 % (8507)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (8507)Memory used [KB]: 5500
% 0.20/0.55 % (8507)Time elapsed: 0.134 s
% 0.20/0.55 % (8507)Instructions burned: 8 (million)
% 0.20/0.55 % (8507)------------------------------
% 0.20/0.55 % (8507)------------------------------
% 0.20/0.55 % (8504)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (8505)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)
% 0.20/0.55 % (8506)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)
% 0.20/0.55 % (8506)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.55 % (8506)Terminated due to inappropriate strategy.
% 0.20/0.55 % (8506)------------------------------
% 0.20/0.55 % (8506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (8506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (8506)Termination reason: Inappropriate
% 0.20/0.55
% 0.20/0.55 % (8506)Memory used [KB]: 895
% 0.20/0.55 % (8506)Time elapsed: 0.003 s
% 0.20/0.55 % (8506)Instructions burned: 1 (million)
% 0.20/0.55 % (8506)------------------------------
% 0.20/0.55 % (8506)------------------------------
% 0.20/0.55 % (8514)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)
% 0.20/0.55 % (8503)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)
% 0.20/0.55 % (8520)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)
% 0.20/0.55 % (8513)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (8518)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (8515)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)
% 0.20/0.56 % (8511)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)
% 0.20/0.56 % (8521)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 % (8510)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (8512)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56 % (8528)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56 % (8519)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)
% 0.20/0.56 % (8502)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)
% 0.20/0.56 % (8529)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)
% 0.20/0.56 % (8509)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)
% 0.20/0.57 % (8527)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)
% 0.20/0.57 % (8517)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.57 % (8526)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)
% 0.20/0.57 % (8501)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)
% 0.20/0.57 % (8525)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.81/0.58 % (8517)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.81/0.58 % (8517)Terminated due to inappropriate strategy.
% 1.81/0.58 % (8517)------------------------------
% 1.81/0.58 % (8517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.58 % (8517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.58 % (8517)Termination reason: Inappropriate
% 1.81/0.58
% 1.81/0.58 % (8517)Memory used [KB]: 895
% 1.81/0.58 % (8517)Time elapsed: 0.003 s
% 1.81/0.58 % (8517)Instructions burned: 2 (million)
% 1.81/0.58 % (8517)------------------------------
% 1.81/0.58 % (8517)------------------------------
% 1.81/0.58 % (8500)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)
% 1.81/0.58 % (8500)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.81/0.58 % (8500)Terminated due to inappropriate strategy.
% 1.81/0.58 % (8500)------------------------------
% 1.81/0.58 % (8500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.58 % (8500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.58 % (8500)Termination reason: Inappropriate
% 1.81/0.58
% 1.81/0.58 % (8500)Memory used [KB]: 895
% 1.81/0.58 % (8500)Time elapsed: 0.003 s
% 1.81/0.58 % (8500)Instructions burned: 3 (million)
% 1.81/0.58 % (8500)------------------------------
% 1.81/0.58 % (8500)------------------------------
% 1.96/0.60 % (8509)First to succeed.
% 1.96/0.62 % (8509)Refutation found. Thanks to Tanya!
% 1.96/0.62 % SZS status Theorem for theBenchmark
% 1.96/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.96/0.62 % (8509)------------------------------
% 1.96/0.62 % (8509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.62 % (8509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.62 % (8509)Termination reason: Refutation
% 1.96/0.62
% 1.96/0.62 % (8509)Memory used [KB]: 1279
% 1.96/0.62 % (8509)Time elapsed: 0.179 s
% 1.96/0.62 % (8509)Instructions burned: 19 (million)
% 1.96/0.62 % (8509)------------------------------
% 1.96/0.62 % (8509)------------------------------
% 1.96/0.62 % (8499)Success in time 0.267 s
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