%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT083_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:48:06 AM UTC 2026
% Result : Theorem 0.26s 0.32s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 35 ( 0 atm; 7 fun; 26 num; 2 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?; 4 :)
% 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_13,type,
sK0: ( $int * list ) > $int ).
tff(func_def_14,type,
sK1: ( $int * list ) > list ).
tff(func_def_15,type,
sK2: ( $int * list ) > $int ).
tff(func_def_16,type,
sK3: ( $int * list ) > list ).
tff(func_def_17,type,
sK4: ( $int * list ) > $int ).
tff(func_def_18,type,
sK5: ( $int * list ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f7,axiom,
length(nil) = 0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).
tff(f8,axiom,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_1) ).
tff(f15,conjecture,
length(cons(1,cons(2,nil))) != 3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).
tff(f16,negated_conjecture,
( ( ~ length(cons(1,cons(2,nil))) ) != 3 ),
inference(negated_conjecture,[status(cth)],[f15]) ).
tff(f34,plain,
length(cons(1,cons(2,nil))) = 3,
inference(flattening,[],[f16]) ).
tff(f62,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f63,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(cnf_transformation,[],[f8]) ).
tff(f71,plain,
length(cons(1,cons(2,nil))) = 3,
inference(cnf_transformation,[],[f34]) ).
tff(f126,plain,
3 = $sum(1,length(cons(2,nil))),
inference(superposition,[],[f71,f63]) ).
tff(f127,plain,
3 = $sum(1,$sum(1,length(nil))),
inference(forward_demodulation,[],[f126,f63]) ).
tff(f129,plain,
3 = $sum(1,$sum(1,0)),
inference(forward_demodulation,[],[f127,f62]) ).
tff(f130,plain,
$false,
inference(evaluation,[],[f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT083_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n026.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Tue Sep 29 00:10:57 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 Running first-order model finding
% 0.10/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.32 % (217988)Will run a generic schedule for satisfiability detection.
% 0.26/0.32 % (217994)% WARNING: option uhcvi not known.
% 0.26/0.32 % (217996)dis+10_1_sil=32000:sp=arity:random_seed=4071328822:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.26/0.32 % (217995)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4055634032:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.26/0.32 % (217993)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3453131721_3000 on theBenchmark for (3000ds/0Mi)
% 0.26/0.32 % (217998)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1687698697:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.26/0.32 % (217993)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.26/0.32 % (217993)Terminated due to inappropriate strategy.
% 0.26/0.32 % (217993)------------------------------
% 0.26/0.32 % (217993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.32 % (217993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.32 % (217993)CaDiCaL version: 2.1.3
% 0.26/0.32 % (217993)Termination reason: Inappropriate
% 0.26/0.32 % (217993)Time elapsed: 0.002 s
% 0.26/0.32 % (217993)Peak memory usage: 10 MB
% 0.26/0.32 % (217993)Instructions burned: 1 (million)
% 0.26/0.32 % (217993)------------------------------
% 0.26/0.32 % (217993)------------------------------
% 0.26/0.32 % (217997)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3829417928:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.26/0.32 % (217994)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1723208029:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.26/0.32 % (217996) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-217988-217996"...
% 0.26/0.32 % (217999)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1089447009:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.26/0.32 % (217998) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-217988-217998"...
% 0.26/0.32 % (217996)...printing done.
% 0.26/0.32 % (217998)...printing done.
% 0.26/0.32 % (217996)Refutation found. Thanks to Tanya!
% 0.26/0.32 % SZS status Theorem for theBenchmark
% 0.26/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.32 % (217996)------------------------------
% 0.26/0.32 % (217996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.32 % (217996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.32 % (217996)CaDiCaL version: 2.1.3
% 0.26/0.32 % (217996)Termination reason: Refutation
% 0.26/0.32 % (217996)Time elapsed: 0.006 s
% 0.26/0.32 % (217996)Peak memory usage: 12 MB
% 0.26/0.32 % (217996)Instructions burned: 5 (million)
% 0.26/0.32 % (217988)Success in time 0.039 s
% 0.26/0.32 % Vampire exiting
%------------------------------------------------------------------------------