%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI570_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:33:22 AM UTC 2026
% Result : Theorem 3.90s 1.35s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 2 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 0 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 30 ( 12 atm; 6 fun; 6 num; 6 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 : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 4 !; 2 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $int ).
tff(func_def_3,type,
sK1: $int ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( $less(X1,X0)
=> $less(X1,$sum(X0,3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',weakening_ineq) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( $less(X1,X0)
=> $less(X1,$sum(X0,3)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
? [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,3))
& $less(X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f4,plain,
( ~ $less(sK1,$sum(sK0,3))
& $less(sK1,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f3]) ).
tff(f5,plain,
$less(sK1,sK0),
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
~ $less(sK1,$sum(sK0,3)),
inference(cnf_transformation,[],[f4]) ).
tff(f8,definition,
( spl2_1
<=> $less(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f11,plain,
spl2_1,
inference(avatar_split_clause,[],[f5,f8]) ).
tff(f13,definition,
( spl2_2
<=> $less(sK1,$sum(sK0,3)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
tff(f16,plain,
~ spl2_2,
inference(avatar_split_clause,[],[f6,f13]) ).
tff(f17,plain,
$false,
inference(avatar_smt_refutation,[],[f16,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI570_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n003.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 : Mon Sep 28 20:54:12 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 3.90/1.35 % (2000652)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.90/1.35 % (2000785)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4047176199:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.90/1.35 % (2000788)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=459372862:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.90/1.35 % (2000786)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2676789722:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.90/1.35 % (2000784)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1789707787:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.90/1.35 % (2000789)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1263566643:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.90/1.35 % (2000787)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3045366458:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.90/1.35 % (2000783)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1613028525:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.90/1.35 % (2000787)Instruction limit reached!
% 3.90/1.35 % (2000787)------------------------------
% 3.90/1.35 % (2000787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.35 % (2000787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.35 % (2000787)CaDiCaL version: 2.1.3
% 3.90/1.35 % (2000787)Termination reason: Instruction limit
% 3.90/1.35 % (2000787)Termination phase: Saturation
% 3.90/1.35 % (2000787)Time elapsed: 0.004 s
% 3.90/1.35 % (2000787)Peak memory usage: 88 MB
% 3.90/1.35 % (2000787)Instructions burned: 4 (million)
% 3.90/1.35 % (2000786)Instruction limit reached!
% 3.90/1.35 % (2000786)------------------------------
% 3.90/1.35 % (2000786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.35 % (2000786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.35 % (2000786)CaDiCaL version: 2.1.3
% 3.90/1.35 % (2000786)Termination reason: Instruction limit
% 3.90/1.35 % (2000786)Termination phase: Saturation
% 3.90/1.35 % (2000786)Time elapsed: 0.005 s
% 3.90/1.35 % (2000786)Peak memory usage: 88 MB
% 3.90/1.35 % (2000786)Instructions burned: 7 (million)
% 3.90/1.35 % (2000783)Also succeeded, but the first one will report.
% 3.90/1.35 % (2000788)First to succeed.
% 3.90/1.35 % (2000784)Also succeeded, but the first one will report.
% 3.90/1.35 % (2000789)Also succeeded, but the first one will report.
% 3.90/1.35 % (2000788)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2000652"
% 3.90/1.35 % (2000785)Instruction limit reached!
% 3.90/1.35 % (2000785)------------------------------
% 3.90/1.35 % (2000785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.35 % (2000785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.35 % (2000785)CaDiCaL version: 2.1.3
% 3.90/1.35 % (2000785)Termination reason: Instruction limit
% 3.90/1.35 % (2000785)Termination phase: Saturation
% 3.90/1.35 % (2000785)Time elapsed: 0.091 s
% 3.90/1.35 % (2000785)Peak memory usage: 117 MB
% 3.90/1.35 % (2000785)Instructions burned: 202 (million)
% 3.90/1.35 % (2000797)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2344928497:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.90/1.35 % (2000798)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=235087291:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.90/1.35 % (2000797)Refutation not found, incomplete strategy
% 3.90/1.35 % (2000797)------------------------------
% 3.90/1.35 % (2000797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.35 % (2000797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.35 % (2000797)CaDiCaL version: 2.1.3
% 3.90/1.35 % (2000797)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.35 % (2000797)Time elapsed: 0.001 s
% 3.90/1.35 % (2000797)Peak memory usage: 88 MB
% 3.90/1.35 % (2000799)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=846709064:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.90/1.35 % (2000799)Also succeeded, but the first one will report.
% 3.90/1.35 % (2000798)Instruction limit reached!
% 3.90/1.35 % (2000798)------------------------------
% 3.90/1.35 % (2000798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.35 % (2000798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.35 % (2000798)CaDiCaL version: 2.1.3
% 3.90/1.35 % (2000798)Termination reason: Instruction limit
% 3.90/1.35 % (2000798)Termination phase: Saturation
% 3.90/1.35 % (2000798)Time elapsed: 0.020 s
% 3.90/1.35 % (2000798)Peak memory usage: 88 MB
% 3.90/1.35 % (2000798)Instructions burned: 29 (million)
% 3.90/1.35 % (2000788)Refutation found. Thanks to Tanya!
% 3.90/1.35 % SZS status Theorem for theBenchmark
% 3.90/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.35 % (2000788)------------------------------
% 3.90/1.35 % (2000788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.35 % (2000788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.35 % (2000788)CaDiCaL version: 2.1.3
% 3.90/1.35 % (2000788)Termination reason: Refutation
% 3.90/1.35 % (2000788)Time elapsed: 0.031 s
% 3.90/1.35 % (2000788)Peak memory usage: 115 MB
% 3.90/1.35 % (2000788)Instructions burned: 8 (million)
% 3.90/1.35 % (2000788)------------------------------
% 3.90/1.35 % (2000788)------------------------------
% 3.90/1.35 % (2000652)Success in time 0.463 s
% 3.90/1.35 % Vampire exiting
%------------------------------------------------------------------------------