TSTP Solution File: DAT087_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT087_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 : n010.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 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 34 ( 13 unt; 16 typ; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 3 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 53 ( 0 atm; 11 fun; 20 num; 22 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 25 ( 14 >; 11 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?; 35 :)
% 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: ( $int * list ) > $int ).
tff(func_def_12,type,
sK1: ( $int * list ) > list ).
tff(func_def_13,type,
sK2: ( $int * list ) > list ).
tff(func_def_14,type,
sK3: ( $int * list ) > $int ).
tff(func_def_15,type,
sK4: ( $int * list ) > list ).
tff(func_def_16,type,
sK5: ( $int * list ) > $int ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f259,plain,
$false,
inference(evaluation,[],[f251]) ).
tff(f251,plain,
0 = $sum(1,0),
inference(superposition,[],[f247,f85]) ).
tff(f85,plain,
! [X0: $int] : ( 0 = count(X0,nil) ),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0: $int] : ( 0 = count(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a) ).
tff(f247,plain,
! [X0: list] : ( count(1,X0) = $sum(1,count(1,X0)) ),
inference(superposition,[],[f245,f86]) ).
tff(f86,plain,
! [X0: $int,X1: list] : ( count(X0,X1) = count(X0,cons(1,X1)) ),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: $int,X1: list] : ( count(X0,X1) = count(X0,cons(1,X1)) ),
inference(flattening,[],[f37]) ).
tff(f37,plain,
~ ~ ! [X0: $int,X1: list] : ( count(X0,X1) = count(X0,cons(1,X1)) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ~ ! [X5: $int,X1: list] : ( count(X5,X1) = count(X5,cons(1,X1)) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
~ ! [X5: $int,X1: list] : ( count(X5,X1) = count(X5,cons(1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).
tff(f245,plain,
! [X2: list,X1: $int] : ( $sum(1,count(X1,X2)) = count(X1,cons(X1,X2)) ),
inference(forward_demodulation,[],[f96,f19]) ).
tff(f19,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f96,plain,
! [X2: list,X1: $int] : ( $sum(count(X1,X2),1) = count(X1,cons(X1,X2)) ),
inference(equality_resolution,[],[f83]) ).
tff(f83,plain,
! [X2: list,X0: $int,X1: $int] :
( ( X0 != X1 )
| ( $sum(count(X1,X2),1) = count(X1,cons(X0,X2)) ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,plain,
! [X0: $int,X1: $int,X2: list] :
( ( X0 != X1 )
| ( $sum(count(X1,X2),1) = count(X1,cons(X0,X2)) ) ),
inference(rectify,[],[f45]) ).
tff(f45,plain,
! [X3: $int,X1: $int,X2: list] :
( ( X1 != X3 )
| ( $sum(count(X1,X2),1) = count(X1,cons(X3,X2)) ) ),
inference(ennf_transformation,[],[f43]) ).
tff(f43,plain,
! [X2: list,X1: $int,X3: $int] :
( ( X1 = X3 )
=> ( $sum(count(X1,X2),1) = count(X1,cons(X3,X2)) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X5: $int,X0: $int,X4: list,X3: $int] :
( ( X0 = X3 )
=> ( count(X0,cons(X3,X4)) = $sum(count(X0,X4),1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT087=1 : TPTP v8.1.0. Released v6.1.0.
% 0.11/0.13 % 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 : n010.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 20:14:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.55 % (28590)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 % (28606)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)
% 0.20/0.55 % (28592)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (28599)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 % (28598)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)
% 0.20/0.56 % (28592)Instruction limit reached!
% 0.20/0.56 % (28592)------------------------------
% 0.20/0.56 % (28592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (28592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (28592)Termination reason: Unknown
% 0.20/0.56 % (28592)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (28592)Memory used [KB]: 895
% 0.20/0.56 % (28592)Time elapsed: 0.003 s
% 0.20/0.56 % (28592)Instructions burned: 2 (million)
% 0.20/0.56 % (28592)------------------------------
% 0.20/0.56 % (28592)------------------------------
% 0.20/0.56 % (28590)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.56 % (28590)Terminated due to inappropriate strategy.
% 0.20/0.56 % (28590)------------------------------
% 0.20/0.56 % (28590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (28590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (28590)Termination reason: Inappropriate
% 0.20/0.56
% 0.20/0.56 % (28590)Memory used [KB]: 895
% 0.20/0.56 % (28590)Time elapsed: 0.005 s
% 0.20/0.56 % (28590)Instructions burned: 3 (million)
% 0.20/0.56 % (28590)------------------------------
% 0.20/0.56 % (28590)------------------------------
% 0.20/0.56 % (28591)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57 % (28591)Instruction limit reached!
% 0.20/0.57 % (28591)------------------------------
% 0.20/0.57 % (28591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (28600)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)
% 0.20/0.58 % (28591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (28591)Termination reason: Unknown
% 0.20/0.58 % (28591)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (28591)Memory used [KB]: 5500
% 0.20/0.58 % (28591)Time elapsed: 0.144 s
% 0.20/0.58 % (28591)Instructions burned: 7 (million)
% 0.20/0.58 % (28591)------------------------------
% 0.20/0.58 % (28591)------------------------------
% 0.20/0.58 % (28607)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)
% 0.20/0.58 % (28606)First to succeed.
% 0.20/0.58 % (28606)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Theorem for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (28606)------------------------------
% 0.20/0.58 % (28606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (28606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (28606)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (28606)Memory used [KB]: 1151
% 0.20/0.58 % (28606)Time elapsed: 0.155 s
% 0.20/0.58 % (28606)Instructions burned: 11 (million)
% 0.20/0.58 % (28606)------------------------------
% 0.20/0.58 % (28606)------------------------------
% 0.20/0.58 % (28583)Success in time 0.228 s
%------------------------------------------------------------------------------