%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI654_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 : n001.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 4.00s 1.33s
% Output : Refutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 20 unt; 0 typ; 4 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 15 ~; 0 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 93 ( 19 atm; 40 fun; 34 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 : 8 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 3 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
x: $int ).
tff(func_def_1,type,
y: $int ).
tff(func_def_2,type,
z: $int ).
tff(f1,axiom,
$greatereq(y,$difference($product(5,x),1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f2,axiom,
$lesseq(y,$product(5,x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_001) ).
tff(f3,axiom,
$lesseq($product(5,z),$difference(y,1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_002) ).
tff(f4,axiom,
$greatereq($product(5,z),$difference(y,2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_003) ).
tff(f5,plain,
~ $less($product(5,x),y),
inference(theory_normalization,[],[f2]) ).
tff(f6,plain,
~ $less($product(5,z),$sum(y,$uminus(2))),
inference(theory_normalization,[],[f4]) ).
tff(f7,plain,
~ $less(y,$sum($product(5,x),$uminus(1))),
inference(theory_normalization,[],[f1]) ).
tff(f8,plain,
~ $less($sum(y,$uminus(1)),$product(5,z)),
inference(theory_normalization,[],[f3]) ).
tff(f9,plain,
~ $less($product(5,z),$sum(y,$uminus(2))),
inference(cnf_transformation,[],[f6]) ).
tff(f10,plain,
~ $less($product(5,x),y),
inference(cnf_transformation,[],[f5]) ).
tff(f11,plain,
~ $less($sum(y,$uminus(1)),$product(5,z)),
inference(cnf_transformation,[],[f8]) ).
tff(f12,plain,
~ $less(y,$sum($product(5,x),$uminus(1))),
inference(cnf_transformation,[],[f7]) ).
tff(f13,plain,
~ $less($product(5,z),$sum(y,-2)),
inference(evaluation,[],[f9]) ).
tff(f14,plain,
~ $less($sum(y,-1),$product(5,z)),
inference(evaluation,[],[f11]) ).
tff(f15,plain,
~ $less(y,$sum($product(5,x),-1)),
inference(evaluation,[],[f12]) ).
tff(f17,definition,
( spl0_1
<=> $less($product(5,z),$sum(y,-2)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f20,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f13,f17]) ).
tff(f22,definition,
( spl0_2
<=> $less($sum(y,-1),$product(5,z)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f25,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f14,f22]) ).
tff(f27,definition,
( spl0_3
<=> $less(y,$sum($product(5,x),-1)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f30,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f15,f27]) ).
tff(f32,definition,
( spl0_4
<=> $less($product(5,x),y) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f35,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f10,f32]) ).
tff(f36,plain,
$false,
inference(avatar_smt_refutation,[],[f35,f30,f25,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI654_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n001.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:00:34 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 4.00/1.33 % (738772)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.00/1.33 % (738779)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1169218960:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.00/1.33 % (738782)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2689368292:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.00/1.33 % (738780)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=21015189:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.00/1.33 % (738777)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2859942358:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.00/1.33 % (738783)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=30440347:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.00/1.33 % (738781)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3886308024:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.00/1.33 % (738778)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=931843572:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.00/1.33 % (738781)Instruction limit reached!
% 4.00/1.33 % (738781)------------------------------
% 4.00/1.33 % (738781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.33 % (738781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.33 % (738781)CaDiCaL version: 2.1.3
% 4.00/1.33 % (738781)Termination reason: Instruction limit
% 4.00/1.33 % (738781)Termination phase: Saturation
% 4.00/1.33 % (738781)Time elapsed: 0.004 s
% 4.00/1.33 % (738781)Peak memory usage: 88 MB
% 4.00/1.33 % (738781)Instructions burned: 5 (million)
% 4.00/1.33 % (738780)Instruction limit reached!
% 4.00/1.33 % (738780)------------------------------
% 4.00/1.33 % (738780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.33 % (738780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.33 % (738780)CaDiCaL version: 2.1.3
% 4.00/1.33 % (738780)Termination reason: Instruction limit
% 4.00/1.33 % (738780)Termination phase: Saturation
% 4.00/1.33 % (738780)Time elapsed: 0.006 s
% 4.00/1.33 % (738780)Peak memory usage: 88 MB
% 4.00/1.33 % (738780)Instructions burned: 9 (million)
% 4.00/1.33 % (738777)Refutation not found, incomplete strategy
% 4.00/1.33 % (738777)------------------------------
% 4.00/1.33 % (738777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.33 % (738777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.33 % (738777)CaDiCaL version: 2.1.3
% 4.00/1.33 % (738777)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.33 % (738777)Time elapsed: 0.027 s
% 4.00/1.33 % (738777)Peak memory usage: 111 MB
% 4.00/1.33 % (738777)Instructions burned: 5 (million)
% 4.00/1.33 % (738782)First to succeed.
% 4.00/1.33 % (738778)Also succeeded, but the first one will report.
% 4.00/1.33 % (738783)Also succeeded, but the first one will report.
% 4.00/1.33 % (738782)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-738772"
% 4.00/1.33 % (738779)Instruction limit reached!
% 4.00/1.33 % (738779)------------------------------
% 4.00/1.33 % (738779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.33 % (738779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.33 % (738779)CaDiCaL version: 2.1.3
% 4.00/1.33 % (738779)Termination reason: Instruction limit
% 4.00/1.33 % (738779)Termination phase: Saturation
% 4.00/1.33 % (738779)Time elapsed: 0.097 s
% 4.00/1.33 % (738779)Peak memory usage: 117 MB
% 4.00/1.33 % (738779)Instructions burned: 203 (million)
% 4.00/1.33 % (738792)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=3708329424:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.00/1.33 % (738791)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4266038127:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.00/1.33 % (738791)Refutation not found, incomplete strategy
% 4.00/1.33 % (738791)------------------------------
% 4.00/1.33 % (738791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.33 % (738791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.33 % (738791)CaDiCaL version: 2.1.3
% 4.00/1.33 % (738791)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.33 % (738791)Time elapsed: 0.001 s
% 4.00/1.33 % (738791)Peak memory usage: 87 MB
% 4.00/1.33 % (738793)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=815206231:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 4.00/1.33 % (738793)Refutation not found, incomplete strategy
% 4.00/1.33 % (738793)------------------------------
% 4.00/1.33 % (738793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.33 % (738793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.33 % (738793)CaDiCaL version: 2.1.3
% 4.00/1.33 % (738793)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.33 % (738793)Time elapsed: 0.003 s
% 4.00/1.33 % (738793)Peak memory usage: 90 MB
% 4.00/1.33 % (738793)Instructions burned: 7 (million)
% 4.00/1.33 % (738792)Instruction limit reached!
% 4.00/1.33 % (738792)------------------------------
% 4.00/1.33 % (738792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.33 % (738792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.33 % (738792)CaDiCaL version: 2.1.3
% 4.00/1.33 % (738792)Termination reason: Instruction limit
% 4.00/1.33 % (738792)Termination phase: Saturation
% 4.00/1.33 % (738792)Time elapsed: 0.021 s
% 4.00/1.33 % (738792)Peak memory usage: 88 MB
% 4.00/1.33 % (738792)Instructions burned: 30 (million)
% 4.00/1.33 % (738777)------------------------------
% 4.00/1.33 % (738777)------------------------------
% 4.00/1.33 % (738782)Refutation found. Thanks to Tanya!
% 4.00/1.33 % SZS status Unsatisfiable for theBenchmark
% 4.00/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 4.00/1.33 % (738782)------------------------------
% 4.00/1.33 % (738782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.33 % (738782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.33 % (738782)CaDiCaL version: 2.1.3
% 4.00/1.33 % (738782)Termination reason: Refutation
% 4.00/1.33 % (738782)Time elapsed: 0.033 s
% 4.00/1.33 % (738782)Peak memory usage: 115 MB
% 4.00/1.33 % (738782)Instructions burned: 9 (million)
% 4.00/1.33 % (738782)------------------------------
% 4.00/1.33 % (738782)------------------------------
% 4.00/1.33 % (738772)Success in time 0.478 s
% 4.00/1.33 % Vampire exiting
%------------------------------------------------------------------------------