TSTP Solution File: DAT080_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT080_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 : 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 16:04:50 EDT 2022
% Result : Theorem 1.71s 0.60s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of formulae : 49 ( 14 unt; 20 typ; 0 def)
% Number of atoms : 48 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 11 ~; 12 |; 2 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 101 ( 17 atm; 0 fun; 63 num; 21 var)
% Number of types : 5 ( 1 usr; 3 ari)
% Number of type conns : 33 ( 18 >; 15 *; 0 +; 0 <<)
% Number of predicates : 10 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?; 33 :)
% 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_14,type,
sK0: ( list * $int ) > list ).
tff(func_def_15,type,
sK1: ( list * $int ) > $int ).
tff(func_def_16,type,
sK2: ( list * $int ) > list ).
tff(func_def_17,type,
sK3: ( list * $int ) > $int ).
tff(func_def_18,type,
sK4: ( $int * list ) > list ).
tff(func_def_19,type,
sK5: ( $int * list ) > $int ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(pred_def_6,type,
sQ6_eqProxy: ( list * list ) > $o ).
tff(pred_def_7,type,
sQ7_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_8,type,
sQ8_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_9,type,
sQ9_eqProxy: ( $real * $real ) > $o ).
tff(f776,plain,
$false,
inference(evaluation,[],[f775]) ).
tff(f775,plain,
$less(0,0),
inference(forward_demodulation,[],[f773,f111]) ).
tff(f111,plain,
! [X0: $int] : ( 0 = count(X0,nil) ),
inference(literal_reordering,[],[f86]) ).
tff(f86,plain,
! [X0: $int] : ( 0 = count(X0,nil) ),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0: $int] : ( 0 = count(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
tff(f773,plain,
$less(0,count(4,nil)),
inference(evaluation,[],[f771]) ).
tff(f771,plain,
( $less(0,count(4,nil))
| ( 4 = 3 ) ),
inference(superposition,[],[f764,f114]) ).
tff(f114,plain,
! [X2: $int,X0: $int,X1: list] :
( ( count(X0,cons(X2,X1)) = count(X0,X1) )
| ( X0 = X2 ) ),
inference(literal_reordering,[],[f62]) ).
tff(f62,plain,
! [X2: $int,X0: $int,X1: list] :
( ( count(X0,cons(X2,X1)) = count(X0,X1) )
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0: $int,X1: list,X2: $int] :
( ( count(X0,cons(X2,X1)) = count(X0,X1) )
| ( X0 = X2 ) ),
inference(ennf_transformation,[],[f41]) ).
tff(f41,plain,
! [X2: $int,X0: $int,X1: list] :
( ( X0 != X2 )
=> ( count(X0,cons(X2,X1)) = count(X0,X1) ) ),
inference(rectify,[],[f10]) ).
tff(f10,axiom,
! [X0: $int,X4: list,X3: $int,X5: $int] :
( ( X0 != X3 )
=> ( count(X0,cons(X3,X4)) = count(X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_3) ).
tff(f764,plain,
$less(0,count(4,cons(3,nil))),
inference(evaluation,[],[f763]) ).
tff(f763,plain,
( $less(0,count(4,cons(3,nil)))
| ( 4 = 2 ) ),
inference(superposition,[],[f354,f114]) ).
tff(f354,plain,
$less(0,count(4,cons(2,cons(3,nil)))),
inference(evaluation,[],[f352]) ).
tff(f352,plain,
( ( 1 = 4 )
| $less(0,count(4,cons(2,cons(3,nil)))) ),
inference(superposition,[],[f220,f114]) ).
tff(f220,plain,
$less(0,count(4,cons(1,cons(2,cons(3,nil))))),
inference(resolution,[],[f121,f112]) ).
tff(f112,plain,
in(4,cons(1,cons(2,cons(3,nil)))),
inference(literal_reordering,[],[f82]) ).
tff(f82,plain,
in(4,cons(1,cons(2,cons(3,nil)))),
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
in(4,cons(1,cons(2,cons(3,nil)))),
inference(flattening,[],[f16]) ).
tff(f16,negated_conjecture,
~ ~ in(4,cons(1,cons(2,cons(3,nil)))),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
~ in(4,cons(1,cons(2,cons(3,nil)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(f121,plain,
! [X0: $int,X1: list] :
( ~ in(X0,X1)
| $less(0,count(X0,X1)) ),
inference(literal_reordering,[],[f85]) ).
tff(f85,plain,
! [X0: $int,X1: list] :
( $less(0,count(X0,X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tff(f60,plain,
! [X0: $int,X1: list] :
( ( $less(0,count(X0,X1))
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ $less(0,count(X0,X1)) ) ),
inference(rectify,[],[f59]) ).
tff(f59,plain,
! [X1: $int,X0: list] :
( ( $less(0,count(X1,X0))
| ~ in(X1,X0) )
& ( in(X1,X0)
| ~ $less(0,count(X1,X0)) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X1: $int,X0: list] :
( $less(0,count(X1,X0))
<=> in(X1,X0) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
! [X1: list,X5: $int] :
( $less(0,count(X5,X1))
<=> in(X5,X1) ),
inference(theory_normalization,[],[f14]) ).
tff(f14,axiom,
! [X1: list,X5: $int] :
( $greater(count(X5,X1),0)
<=> in(X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : DAT080=1 : TPTP v8.1.0. Released v6.1.0.
% 0.04/0.13 % 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 20:42:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (32263)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)
% 0.20/0.51 % (32240)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)
% 0.20/0.51 % (32252)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (32251)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)
% 0.20/0.51 % (32240)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.51 % (32240)Terminated due to inappropriate strategy.
% 0.20/0.51 % (32240)------------------------------
% 0.20/0.51 % (32240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (32240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (32240)Termination reason: Inappropriate
% 0.20/0.51
% 0.20/0.51 % (32240)Memory used [KB]: 895
% 0.20/0.51 % (32240)Time elapsed: 0.003 s
% 0.20/0.51 % (32240)Instructions burned: 3 (million)
% 0.20/0.51 % (32240)------------------------------
% 0.20/0.51 % (32240)------------------------------
% 0.20/0.51 % (32242)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)
% 0.20/0.52 % (32255)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)
% 0.20/0.52 % (32265)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (32249)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)
% 0.20/0.52 % (32257)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (32245)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)
% 0.20/0.52 % (32257)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52 % (32257)Terminated due to inappropriate strategy.
% 0.20/0.52 % (32257)------------------------------
% 0.20/0.52 % (32257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (32257)Termination reason: Inappropriate
% 0.20/0.52
% 0.20/0.52 % (32257)Memory used [KB]: 895
% 0.20/0.52 % (32257)Time elapsed: 0.002 s
% 0.20/0.52 % (32257)Instructions burned: 2 (million)
% 0.20/0.52 % (32257)------------------------------
% 0.20/0.52 % (32257)------------------------------
% 0.20/0.53 % (32250)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (32247)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (32248)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (32243)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)
% 0.20/0.53 % (32244)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (32247)Instruction limit reached!
% 0.20/0.53 % (32247)------------------------------
% 0.20/0.53 % (32247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32247)Termination reason: Unknown
% 0.20/0.53 % (32247)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (32247)Memory used [KB]: 5500
% 0.20/0.53 % (32247)Time elapsed: 0.130 s
% 0.20/0.53 % (32247)Instructions burned: 7 (million)
% 0.20/0.53 % (32247)------------------------------
% 0.20/0.53 % (32247)------------------------------
% 0.20/0.53 % (32269)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)
% 0.20/0.53 % (32241)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)
% 0.20/0.53 % (32248)Instruction limit reached!
% 0.20/0.53 % (32248)------------------------------
% 0.20/0.53 % (32248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32262)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)
% 0.20/0.53 % (32248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32256)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)
% 0.20/0.54 % (32248)Termination reason: Unknown
% 0.20/0.54 % (32248)Termination phase: Clausification
% 0.20/0.54
% 0.20/0.54 % (32248)Memory used [KB]: 895
% 0.20/0.54 % (32248)Time elapsed: 0.003 s
% 0.20/0.54 % (32248)Instructions burned: 2 (million)
% 0.20/0.54 % (32248)------------------------------
% 0.20/0.54 % (32248)------------------------------
% 0.20/0.54 % (32253)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (32264)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (32254)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)
% 0.20/0.54 % (32267)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)
% 0.20/0.54 % (32268)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (32266)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 % (32259)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)
% 0.20/0.55 % (32260)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 % (32258)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (32246)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 % (32246)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.55 % (32246)Terminated due to inappropriate strategy.
% 0.20/0.55 % (32246)------------------------------
% 0.20/0.55 % (32246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (32246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (32246)Termination reason: Inappropriate
% 0.20/0.55
% 0.20/0.55 % (32246)Memory used [KB]: 895
% 0.20/0.55 % (32246)Time elapsed: 0.002 s
% 0.20/0.55 % (32246)Instructions burned: 1 (million)
% 0.20/0.55 % (32246)------------------------------
% 0.20/0.55 % (32246)------------------------------
% 1.57/0.55 % (32261)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.57/0.57 % (32242)Instruction limit reached!
% 1.57/0.57 % (32242)------------------------------
% 1.57/0.57 % (32242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (32242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (32242)Termination reason: Unknown
% 1.71/0.58 % (32242)Termination phase: Saturation
% 1.71/0.58
% 1.71/0.58 % (32242)Memory used [KB]: 1407
% 1.71/0.58 % (32242)Time elapsed: 0.155 s
% 1.71/0.58 % (32242)Instructions burned: 38 (million)
% 1.71/0.58 % (32242)------------------------------
% 1.71/0.58 % (32242)------------------------------
% 1.71/0.59 % (32250)Instruction limit reached!
% 1.71/0.59 % (32250)------------------------------
% 1.71/0.59 % (32250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (32250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (32250)Termination reason: Unknown
% 1.71/0.59 % (32250)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (32250)Memory used [KB]: 6396
% 1.71/0.59 % (32250)Time elapsed: 0.171 s
% 1.71/0.59 % (32250)Instructions burned: 50 (million)
% 1.71/0.59 % (32250)------------------------------
% 1.71/0.59 % (32250)------------------------------
% 1.71/0.59 % (32254)First to succeed.
% 1.71/0.60 % (32254)Refutation found. Thanks to Tanya!
% 1.71/0.60 % SZS status Theorem for theBenchmark
% 1.71/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.60 % (32254)------------------------------
% 1.71/0.60 % (32254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60 % (32254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60 % (32254)Termination reason: Refutation
% 1.71/0.60
% 1.71/0.60 % (32254)Memory used [KB]: 6396
% 1.71/0.60 % (32254)Time elapsed: 0.022 s
% 1.71/0.60 % (32254)Instructions burned: 39 (million)
% 1.71/0.60 % (32254)------------------------------
% 1.71/0.60 % (32254)------------------------------
% 1.71/0.60 % (32239)Success in time 0.243 s
%------------------------------------------------------------------------------