%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT063_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:48:03 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 3 ( 3 atm; 0 fun; 0 num; 0 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 4 !; 1 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
heap: $tType ).
tff(func_def_0,type,
empty: heap ).
tff(func_def_1,type,
get: heap > heap ).
tff(func_def_2,type,
app: ( heap * $int ) > heap ).
tff(func_def_3,type,
toop: heap > $int ).
tff(func_def_4,type,
length: heap > $int ).
tff(func_def_9,type,
sK0: heap ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f10,axiom,
! [X0: heap] : ~ lsls(X0,empty),
file('/export/starexec/sandbox2/benchmark/Axioms/DAT005_0.ax',ax_26) ).
tff(f12,conjecture,
! [X0: heap] :
( lsls(X0,empty)
=> $less(length(X0),length(empty)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_lem_1b) ).
tff(f13,negated_conjecture,
~ ! [X0: heap] :
( lsls(X0,empty)
=> $less(length(X0),length(empty)) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
tff(f28,plain,
? [X0: heap] :
( ~ $less(length(X0),length(empty))
& lsls(X0,empty) ),
inference(ennf_transformation,[],[f13]) ).
tff(f40,plain,
! [X0: heap] : ~ lsls(X0,empty),
inference(cnf_transformation,[],[f10]) ).
tff(f44,plain,
lsls(sK0,empty),
inference(cnf_transformation,[],[f28]) ).
tff(f49,plain,
$false,
inference(backward_subsumption_resolution,[],[f44,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT063_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n009.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 00:07:30 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.22/0.28 % (3620926)Will run a generic schedule for satisfiability detection.
% 0.22/0.28 % (3620932)% WARNING: option uhcvi not known.
% 0.22/0.28 % (3620931)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2178397343_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.28 % (3620934)dis+10_1_sil=32000:sp=arity:random_seed=4052496826:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.28 % (3620933)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3893993789:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.28 % (3620932)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3927566769:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.28 % (3620935)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=740424423:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.28 % (3620936)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2109187175:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.28 % (3620931)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.28 % (3620931)Terminated due to inappropriate strategy.
% 0.22/0.28 % (3620931)------------------------------
% 0.22/0.28 % (3620931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (3620931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (3620931)CaDiCaL version: 2.1.3
% 0.22/0.28 % (3620931)Termination reason: Inappropriate
% 0.22/0.28 % (3620931)Time elapsed: 0.001 s
% 0.22/0.28 % (3620931)Peak memory usage: 10 MB
% 0.22/0.28 % (3620934) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3620926-3620934"...
% 0.22/0.28 % (3620932) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3620926-3620932"...
% 0.22/0.28 % (3620931)------------------------------
% 0.22/0.28 % (3620931)------------------------------
% 0.22/0.28 % (3620933) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3620926-3620933"...
% 0.22/0.28 % (3620935) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3620926-3620935"...
% 0.22/0.28 % (3620936) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3620926-3620936"...
% 0.22/0.28 % (3620934)...printing done.
% 0.22/0.28 % (3620932)...printing done.
% 0.22/0.28 % (3620933)...printing done.
% 0.22/0.28 % (3620935)...printing done.
% 0.22/0.28 % (3620936)...printing done.
% 0.22/0.28 % (3620932)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28 % (3620932)------------------------------
% 0.22/0.28 % (3620932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (3620932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (3620932)CaDiCaL version: 2.1.3
% 0.22/0.28 % (3620932)Termination reason: Refutation
% 0.22/0.28 % (3620932)Time elapsed: 0.001 s
% 0.22/0.28 % (3620932)Peak memory usage: 12 MB
% 0.22/0.28 % (3620932)Instructions burned: 1 (million)
% 0.22/0.28 % (3620926)Success in time 0.041 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------