%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI653_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:33:35 AM UTC 2026
% Result : Unsatisfiable 5.46s 1.74s
% Output : Refutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 9 unt; 0 typ; 2 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 0 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 32 ( 8 atm; 8 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 ( 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_0,type,
a: $int ).
tff(f1,axiom,
$greatereq(6,$product(7,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(f2,axiom,
$lesseq(1,$product(5,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_001) ).
tff(f3,plain,
~ $less($product(5,a),1),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
~ $less(6,$product(7,a)),
inference(theory_normalization,[],[f1]) ).
tff(f23,plain,
~ $less(6,$product(7,a)),
inference(cnf_transformation,[],[f4]) ).
tff(f24,plain,
~ $less($product(5,a),1),
inference(cnf_transformation,[],[f3]) ).
tff(f27,definition,
( spl0_1
<=> $less(6,$product(7,a)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f30,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f23,f27]) ).
tff(f32,definition,
( spl0_2
<=> $less($product(5,a),1) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f35,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f24,f32]) ).
tff(f36,plain,
$false,
inference(avatar_smt_refutation,[],[f35,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI653_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n017.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 : Mon Sep 28 20:50:21 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.29 Running first-order theorem proving
% 0.23/0.29 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.46/1.74 % (4014564)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.46/1.74 % (4014569)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2284681181:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.46/1.74 % (4014575)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=948387682:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.46/1.74 % (4014569)Refutation not found, incomplete strategy
% 5.46/1.74 % (4014569)------------------------------
% 5.46/1.74 % (4014569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.74 % (4014569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.74 % (4014569)CaDiCaL version: 2.1.3
% 5.46/1.74 % (4014569)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.74 % (4014569)Time elapsed: 0.022 s
% 5.46/1.74 % (4014569)Peak memory usage: 111 MB
% 5.46/1.74 % (4014569)Instructions burned: 5 (million)
% 5.46/1.74 % (4014575)First to succeed.
% 5.46/1.74 % (4014575)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4014564"
% 5.46/1.74 % (4014573)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2879583440:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.46/1.74 % (4014570)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1398150634:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.46/1.74 % (4014574)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2695801146:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.46/1.74 % (4014571)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=731623467:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.46/1.74 % (4014572)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3820366317:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.46/1.74 % (4014573)Instruction limit reached!
% 5.46/1.74 % (4014573)------------------------------
% 5.46/1.74 % (4014573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.74 % (4014573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.74 % (4014573)CaDiCaL version: 2.1.3
% 5.46/1.74 % (4014573)Termination reason: Instruction limit
% 5.46/1.74 % (4014573)Termination phase: Saturation
% 5.46/1.74 % (4014573)Time elapsed: 0.005 s
% 5.46/1.74 % (4014573)Peak memory usage: 88 MB
% 5.46/1.74 % (4014573)Instructions burned: 4 (million)
% 5.46/1.74 % (4014572)Instruction limit reached!
% 5.46/1.74 % (4014572)------------------------------
% 5.46/1.74 % (4014572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.74 % (4014572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.74 % (4014572)CaDiCaL version: 2.1.3
% 5.46/1.74 % (4014572)Termination reason: Instruction limit
% 5.46/1.74 % (4014572)Termination phase: Saturation
% 5.46/1.74 % (4014572)Time elapsed: 0.009 s
% 5.46/1.74 % (4014572)Peak memory usage: 88 MB
% 5.46/1.74 % (4014572)Instructions burned: 8 (million)
% 5.46/1.74 % (4014570)Also succeeded, but the first one will report.
% 5.46/1.74 % (4014574)Also succeeded, but the first one will report.
% 5.46/1.74 % (4014569)------------------------------
% 5.46/1.74 % (4014569)------------------------------
% 5.46/1.74 % (4014571)Instruction limit reached!
% 5.46/1.74 % (4014571)------------------------------
% 5.46/1.74 % (4014571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.74 % (4014571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.74 % (4014571)CaDiCaL version: 2.1.3
% 5.46/1.74 % (4014571)Termination reason: Instruction limit
% 5.46/1.74 % (4014571)Termination phase: Saturation
% 5.46/1.74 % (4014571)Time elapsed: 0.232 s
% 5.46/1.74 % (4014571)Peak memory usage: 118 MB
% 5.46/1.74 % (4014571)Instructions burned: 202 (million)
% 5.46/1.74 % (4014585)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3858191569:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.46/1.74 % (4014585)Refutation not found, incomplete strategy
% 5.46/1.74 % (4014585)------------------------------
% 5.46/1.74 % (4014585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.74 % (4014585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.74 % (4014585)CaDiCaL version: 2.1.3
% 5.46/1.74 % (4014585)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.74 % (4014585)Time elapsed: 0.001 s
% 5.46/1.74 % (4014585)Peak memory usage: 87 MB
% 5.46/1.74 % (4014586)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3831919478:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 5.46/1.74 % (4014586)Instruction limit reached!
% 5.46/1.74 % (4014586)------------------------------
% 5.46/1.74 % (4014586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.74 % (4014586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.74 % (4014586)CaDiCaL version: 2.1.3
% 5.46/1.74 % (4014586)Termination reason: Instruction limit
% 5.46/1.74 % (4014586)Termination phase: Saturation
% 5.46/1.74 % (4014586)Time elapsed: 0.032 s
% 5.46/1.74 % (4014586)Peak memory usage: 88 MB
% 5.46/1.74 % (4014586)Instructions burned: 29 (million)
% 5.46/1.74 % (4014575)Refutation found. Thanks to Tanya!
% 5.46/1.74 % SZS status Unsatisfiable for theBenchmark
% 5.46/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 5.46/1.74 % (4014575)------------------------------
% 5.46/1.74 % (4014575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.74 % (4014575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.74 % (4014575)CaDiCaL version: 2.1.3
% 5.46/1.74 % (4014575)Termination reason: Refutation
% 5.46/1.74 % (4014575)Time elapsed: 0.044 s
% 5.46/1.74 % (4014575)Peak memory usage: 115 MB
% 5.46/1.74 % (4014575)Instructions burned: 8 (million)
% 5.46/1.74 % (4014575)------------------------------
% 5.46/1.74 % (4014575)------------------------------
% 5.46/1.74 % (4014564)Success in time 0.651 s
% 5.46/1.74 % Vampire exiting
%------------------------------------------------------------------------------