%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT082_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 : n003.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 09:48:05 AM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : Refutation 0.07s
% 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 : 6 ( 6 ~; 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 : 17 ( 13 usr; 4 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_12,type,
sK0: ( $int * list ) > $int ).
tff(func_def_13,type,
sK1: ( $int * list ) > list ).
tff(func_def_14,type,
sK2: ( $int * list ) > $int ).
tff(func_def_15,type,
sK3: ( $int * list ) > list ).
tff(func_def_16,type,
sK4: ( $int * list ) > $int ).
tff(func_def_17,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))) = 2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).
tff(f16,negated_conjecture,
( ( ~ length(cons(1,cons(2,nil))) ) = 2 ),
inference(negated_conjecture,[status(cth)],[f15]) ).
tff(f34,plain,
2 != length(cons(1,cons(2,nil))),
inference(flattening,[],[f16]) ).
tff(f53,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f54,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(cnf_transformation,[],[f8]) ).
tff(f62,plain,
2 != length(cons(1,cons(2,nil))),
inference(cnf_transformation,[],[f34]) ).
tff(f99,plain,
2 != $sum(1,length(cons(2,nil))),
inference(superposition,[],[f62,f54]) ).
tff(f100,plain,
2 != $sum(1,$sum(1,length(nil))),
inference(forward_demodulation,[],[f99,f54]) ).
tff(f101,plain,
2 != $sum(1,$sum(1,0)),
inference(forward_demodulation,[],[f100,f53]) ).
tff(f102,plain,
$false,
inference(evaluation,[],[f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT082_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n003.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 00:09:43 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 0.07/0.25 % (2155445)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (2155450)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=723574875_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.25 % (2155450)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.07/0.25 % (2155450)Terminated due to inappropriate strategy.
% 0.07/0.25 % (2155450)------------------------------
% 0.07/0.25 % (2155450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (2155450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (2155450)CaDiCaL version: 2.1.3
% 0.07/0.25 % (2155450)Termination reason: Inappropriate
% 0.07/0.25 % (2155450)Time elapsed: 0.0000 s
% 0.07/0.25 % (2155450)Peak memory usage: 10 MB
% 0.07/0.25 % (2155450)Instructions burned: 1 (million)
% 0.07/0.25 % (2155450)------------------------------
% 0.07/0.25 % (2155450)------------------------------
% 0.07/0.25 % (2155451)% WARNING: option uhcvi not known.
% 0.07/0.25 % (2155455)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1334374227:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.25 % (2155453)dis+10_1_sil=32000:sp=arity:random_seed=2058686802:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.25 % (2155451)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=997987526:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % (2155452)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3292756929:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.25 % (2155454)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2226171798:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.25 % (2155456)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1788140911:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.25 % (2155451) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2155445-2155451"...
% 0.07/0.25 % (2155453) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2155445-2155453"...
% 0.07/0.25 % (2155455) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2155445-2155455"...
% 0.07/0.25 % (2155451)...printing done.
% 0.07/0.25 % (2155458)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=73110146:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.07/0.25 % (2155454) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2155445-2155454"...
% 0.07/0.25 % (2155453)...printing done.
% 0.07/0.25 % (2155455)...printing done.
% 0.07/0.25 % (2155458)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.07/0.25 % (2155458)Terminated due to inappropriate strategy.
% 0.07/0.25 % (2155458)------------------------------
% 0.07/0.25 % (2155458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (2155458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (2155458)CaDiCaL version: 2.1.3
% 0.07/0.25 % (2155458)Termination reason: Inappropriate
% 0.07/0.25 % (2155458)Time elapsed: 0.0000 s
% 0.07/0.25 % (2155458)Peak memory usage: 10 MB
% 0.07/0.25 % (2155458)Instructions burned: 1 (million)
% 0.07/0.25 % (2155451)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Theorem for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (2155451)------------------------------
% 0.07/0.25 % (2155451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (2155451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (2155451)CaDiCaL version: 2.1.3
% 0.07/0.25 % (2155451)Termination reason: Refutation
% 0.07/0.25 % (2155451)Time elapsed: 0.004 s
% 0.07/0.25 % (2155451)Peak memory usage: 12 MB
% 0.07/0.25 % (2155451)Instructions burned: 4 (million)
% 0.07/0.25 % (2155445)Success in time 0.038 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------