%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI650_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 : n010.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 09:33:34 AM UTC 2026
% Result : Unsatisfiable 0.29s 1.41s
% Output : Refutation 0.29s
% 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 : 24 ( 8 atm; 8 fun; 8 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 : 4 ( 1 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(f1,axiom,
$greatereq(60,$product(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
tff(f2,axiom,
$lesseq(50,$product(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_001) ).
tff(f3,plain,
~ $less($product(a,a),50),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
~ $less(60,$product(a,a)),
inference(theory_normalization,[],[f1]) ).
tff(f5,plain,
~ $less($product(a,a),50),
inference(cnf_transformation,[],[f3]) ).
tff(f6,plain,
~ $less(60,$product(a,a)),
inference(cnf_transformation,[],[f4]) ).
tff(f8,definition,
( spl0_1
<=> $less($product(a,a),50) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f11,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f5,f8]) ).
tff(f13,definition,
( spl0_2
<=> $less(60,$product(a,a)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f16,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f6,f13]) ).
tff(f17,plain,
$false,
inference(avatar_smt_refutation,[],[f16,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI650_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n010.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 20:55:17 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.32 Running first-order theorem proving
% 0.26/0.32 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
% 0.29/1.41 % (2322775)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.29/1.41 % (2322785)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1348993706:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 0.29/1.41 % (2322785)First to succeed.
% 0.29/1.41 % (2322785)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2322775"
% 0.29/1.41 % (2322782)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3040192777:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 0.29/1.41 % (2322784)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2344639293:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 0.29/1.41 % (2322780)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1691124196:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 0.29/1.41 % (2322783)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3794260657:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 0.29/1.41 % (2322781)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3056812980:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 0.29/1.41 % (2322784)Instruction limit reached!
% 0.29/1.41 % (2322784)------------------------------
% 0.29/1.41 % (2322784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.41 % (2322784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.41 % (2322784)CaDiCaL version: 2.1.3
% 0.29/1.41 % (2322784)Termination reason: Instruction limit
% 0.29/1.41 % (2322784)Termination phase: Saturation
% 0.29/1.41 % (2322784)Time elapsed: 0.006 s
% 0.29/1.41 % (2322784)Peak memory usage: 88 MB
% 0.29/1.41 % (2322784)Instructions burned: 4 (million)
% 0.29/1.41 % (2322783)Instruction limit reached!
% 0.29/1.41 % (2322783)------------------------------
% 0.29/1.41 % (2322783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.41 % (2322783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.41 % (2322783)CaDiCaL version: 2.1.3
% 0.29/1.41 % (2322783)Termination reason: Instruction limit
% 0.29/1.41 % (2322783)Termination phase: Saturation
% 0.29/1.41 % (2322783)Time elapsed: 0.010 s
% 0.29/1.41 % (2322783)Peak memory usage: 88 MB
% 0.29/1.41 % (2322783)Instructions burned: 7 (million)
% 0.29/1.41 % (2322786)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2233516311:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 0.29/1.41 % (2322780)Refutation not found, incomplete strategy
% 0.29/1.41 % (2322780)------------------------------
% 0.29/1.41 % (2322780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.41 % (2322780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.41 % (2322780)CaDiCaL version: 2.1.3
% 0.29/1.41 % (2322780)Termination reason: Refutation not found, incomplete strategy
% 0.29/1.41 % (2322780)Time elapsed: 0.037 s
% 0.29/1.41 % (2322780)Peak memory usage: 111 MB
% 0.29/1.41 % (2322780)Instructions burned: 5 (million)
% 0.29/1.41 % (2322781)Also succeeded, but the first one will report.
% 0.29/1.41 % (2322786)Also succeeded, but the first one will report.
% 0.29/1.41 % (2322785)Refutation found. Thanks to Tanya!
% 0.29/1.41 % SZS status Unsatisfiable for theBenchmark
% 0.29/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/1.41 % (2322785)------------------------------
% 0.29/1.41 % (2322785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/1.41 % (2322785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/1.41 % (2322785)CaDiCaL version: 2.1.3
% 0.29/1.41 % (2322785)Termination reason: Refutation
% 0.29/1.41 % (2322785)Time elapsed: 0.030 s
% 0.29/1.41 % (2322785)Peak memory usage: 117 MB
% 0.29/1.41 % (2322785)Instructions burned: 13 (million)
% 0.29/1.41 % (2322785)------------------------------
% 0.29/1.41 % (2322785)------------------------------
% 0.29/1.41 % (2322775)Success in time 0.458 s
% 0.29/1.41 % Vampire exiting
%------------------------------------------------------------------------------