%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI540_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 09:33:19 AM UTC 2026
% Result : Theorem 4.09s 1.55s
% Output : Refutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 12 unt; 0 typ; 3 def)
% Number of atoms : 16 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 0 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 37 ( 7 atm; 7 fun; 23 num; 0 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sF0: $int ).
tff(f1,conjecture,
$lesseq($product(5,7),36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_combined_problem_4) ).
tff(f2,negated_conjecture,
~ $lesseq($product(5,7),36),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ~ $less(36,$product(5,7)),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
$less(36,$product(5,7)),
inference(flattening,[],[f3]) ).
tff(f5,plain,
$less(36,$product(5,7)),
inference(cnf_transformation,[],[f4]) ).
tff(f6,definition,
sF0 = $product(5,7),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f7,plain,
$product(5,7) = sF0,
inference(reorient_equations,[],[f6]) ).
tff(f8,plain,
$less(36,sF0),
inference(definition_folding,[],[f5,f7]) ).
tff(f9,plain,
sF0 = 35,
inference(evaluation,[],[f7]) ).
tff(f11,definition,
( spl1_1
<=> ( sF0 = 35 ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f14,plain,
spl1_1,
inference(avatar_split_clause,[],[f9,f11]) ).
tff(f16,definition,
( spl1_2
<=> $less(36,sF0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f19,plain,
spl1_2,
inference(avatar_split_clause,[],[f8,f16]) ).
tff(f20,plain,
$false,
inference(avatar_smt_refutation,[],[f19,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI540_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.27 % Computer : n017.cluster.edu
% 0.24/0.27 % Model : x86_64 x86_64
% 0.24/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.27 % Memory : 8046.5625MB
% 0.24/0.27 % OS : Linux 6.8.0-71-generic
% 0.24/0.27 % CPULimit : 300
% 0.24/0.28 % WCLimit : 300
% 0.24/0.28 % DateTime : Mon Sep 28 20:46:51 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.33 Running first-order theorem proving
% 0.24/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.09/1.55 % (4006651)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.09/1.55 % (4006657)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2499766895:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.09/1.55 % (4006656)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=900798739:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.09/1.55 % (4006657)First to succeed.
% 4.09/1.55 % (4006657)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4006651"
% 4.09/1.55 % (4006656)Also succeeded, but the first one will report.
% 4.09/1.55 % (4006661)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=31473971:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.09/1.55 % (4006658)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3974026710:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.09/1.55 % (4006659)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=254828767:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.09/1.55 % (4006660)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2650850154:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.09/1.55 % (4006662)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=364943592:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.09/1.55 % (4006659)Also succeeded, but the first one will report.
% 4.09/1.55 % (4006660)Also succeeded, but the first one will report.
% 4.09/1.55 % (4006661)Also succeeded, but the first one will report.
% 4.09/1.55 % (4006658)Also succeeded, but the first one will report.
% 4.09/1.55 % (4006662)Also succeeded, but the first one will report.
% 4.09/1.55 % (4006657)Refutation found. Thanks to Tanya!
% 4.09/1.55 % SZS status Theorem for theBenchmark
% 4.09/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 4.09/1.55 % (4006657)------------------------------
% 4.09/1.55 % (4006657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.55 % (4006657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.55 % (4006657)CaDiCaL version: 2.1.3
% 4.09/1.55 % (4006657)Termination reason: Refutation
% 4.09/1.55 % (4006657)Time elapsed: 0.019 s
% 4.09/1.55 % (4006657)Peak memory usage: 115 MB
% 4.09/1.55 % (4006657)Instructions burned: 7 (million)
% 4.09/1.55 % (4006657)------------------------------
% 4.09/1.55 % (4006657)------------------------------
% 4.09/1.55 % (4006651)Success in time 0.452 s
% 4.09/1.55 % Vampire exiting
%------------------------------------------------------------------------------