%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI674_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 09:33:37 AM UTC 2026
% Result : Theorem 4.03s 1.36s
% Output : Refutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 9 unt; 0 typ; 3 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 3 |; 1 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 36 ( 16 atm; 4 fun; 16 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 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(f1,axiom,
$lesseq(4,$product(a,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f2,conjecture,
( $lesseq(a,-2)
| $lesseq(2,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_001) ).
tff(f3,negated_conjecture,
~ ( $lesseq(a,-2)
| $lesseq(2,a) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,plain,
~ ( ~ $less(a,2)
| ~ $less(-2,a) ),
inference(theory_normalization,[],[f3]) ).
tff(f5,plain,
~ $less($product(a,a),4),
inference(theory_normalization,[],[f1]) ).
tff(f6,plain,
( $less(-2,a)
& $less(a,2) ),
inference(ennf_transformation,[],[f4]) ).
tff(f7,plain,
~ $less($product(a,a),4),
inference(cnf_transformation,[],[f5]) ).
tff(f8,plain,
$less(a,2),
inference(cnf_transformation,[],[f6]) ).
tff(f9,plain,
$less(-2,a),
inference(cnf_transformation,[],[f6]) ).
tff(f11,definition,
( spl0_1
<=> $less(-2,a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f14,plain,
spl0_1,
inference(avatar_split_clause,[],[f9,f11]) ).
tff(f16,definition,
( spl0_2
<=> $less($product(a,a),4) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f19,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f7,f16]) ).
tff(f21,definition,
( spl0_3
<=> $less(a,2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f24,plain,
spl0_3,
inference(avatar_split_clause,[],[f8,f21]) ).
tff(f25,plain,
$false,
inference(avatar_smt_refutation,[],[f24,f19,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI674_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n009.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 20:55:45 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 4.03/1.36 % (3467152)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.03/1.36 % (3467300)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2205560106:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.03/1.36 % (3467294)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3924012458:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.03/1.36 % (3467295)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3005439767:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.03/1.36 % (3467300)First to succeed.
% 4.03/1.36 % (3467300)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3467152"
% 4.03/1.36 % (3467296)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2733465902:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.03/1.36 % (3467299)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4077441522:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.03/1.36 % (3467297)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=339607616:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.03/1.36 % (3467299)Instruction limit reached!
% 4.03/1.36 % (3467299)------------------------------
% 4.03/1.36 % (3467299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.36 % (3467299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.36 % (3467299)CaDiCaL version: 2.1.3
% 4.03/1.36 % (3467299)Termination reason: Instruction limit
% 4.03/1.36 % (3467299)Termination phase: Saturation
% 4.03/1.36 % (3467299)Time elapsed: 0.006 s
% 4.03/1.36 % (3467299)Peak memory usage: 88 MB
% 4.03/1.36 % (3467299)Instructions burned: 4 (million)
% 4.03/1.36 % (3467297)Instruction limit reached!
% 4.03/1.36 % (3467297)------------------------------
% 4.03/1.36 % (3467297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.36 % (3467297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.36 % (3467297)CaDiCaL version: 2.1.3
% 4.03/1.36 % (3467297)Termination reason: Instruction limit
% 4.03/1.36 % (3467297)Termination phase: Saturation
% 4.03/1.36 % (3467297)Time elapsed: 0.010 s
% 4.03/1.36 % (3467297)Peak memory usage: 88 MB
% 4.03/1.36 % (3467297)Instructions burned: 7 (million)
% 4.03/1.36 % (3467294)Refutation not found, incomplete strategy
% 4.03/1.36 % (3467294)------------------------------
% 4.03/1.36 % (3467294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.36 % (3467294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.36 % (3467294)CaDiCaL version: 2.1.3
% 4.03/1.36 % (3467294)Termination reason: Refutation not found, incomplete strategy
% 4.03/1.36 % (3467294)Time elapsed: 0.046 s
% 4.03/1.36 % (3467294)Peak memory usage: 116 MB
% 4.03/1.36 % (3467294)Instructions burned: 10 (million)
% 4.03/1.36 % (3467295)Also succeeded, but the first one will report.
% 4.03/1.36 % (3467302)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2888677350:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.03/1.36 % (3467302)Also succeeded, but the first one will report.
% 4.03/1.36 % (3467300)Refutation found. Thanks to Tanya!
% 4.03/1.36 % SZS status Theorem for theBenchmark
% 4.03/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 4.03/1.36 % (3467300)------------------------------
% 4.03/1.36 % (3467300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.36 % (3467300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.36 % (3467300)CaDiCaL version: 2.1.3
% 4.03/1.36 % (3467300)Termination reason: Refutation
% 4.03/1.36 % (3467300)Time elapsed: 0.026 s
% 4.03/1.36 % (3467300)Peak memory usage: 116 MB
% 4.03/1.36 % (3467300)Instructions burned: 8 (million)
% 4.03/1.36 % (3467300)------------------------------
% 4.03/1.36 % (3467300)------------------------------
% 4.03/1.36 % (3467152)Success in time 0.482 s
% 4.03/1.36 % Vampire exiting
%------------------------------------------------------------------------------