%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI651_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 : n018.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 3.89s 1.33s
% Output : Refutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 15 unt; 0 typ; 3 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 11 ~; 0 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 72 ( 14 atm; 30 fun; 28 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 : 10 ( 2 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_1,type,
b: $int ).
tff(f1,axiom,
$lesseq(20,$product(-1,$sum(a,$product(-1,$product(2,b))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f2,axiom,
$lesseq(0,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_001) ).
tff(f3,axiom,
$lesseq(-5,$product(-1,$sum(a,b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_002) ).
tff(f4,plain,
~ $less(a,0),
inference(theory_normalization,[],[f2]) ).
tff(f5,plain,
~ $less($product(-1,$sum(a,b)),-5),
inference(theory_normalization,[],[f3]) ).
tff(f6,plain,
~ $less($product(-1,$sum(a,$product(-1,$product(2,b)))),20),
inference(theory_normalization,[],[f1]) ).
tff(f7,plain,
~ $less(a,0),
inference(cnf_transformation,[],[f4]) ).
tff(f8,plain,
~ $less($product(-1,$sum(a,b)),-5),
inference(cnf_transformation,[],[f5]) ).
tff(f9,plain,
~ $less($product(-1,$sum(a,$product(-1,$product(2,b)))),20),
inference(cnf_transformation,[],[f6]) ).
tff(f10,plain,
~ $less($uminus($sum(a,b)),-5),
inference(evaluation,[],[f8]) ).
tff(f11,plain,
~ $less($uminus($sum(a,$uminus($product(2,b)))),20),
inference(evaluation,[],[f9]) ).
tff(f13,definition,
( spl0_1
<=> $less($uminus($sum(a,b)),-5) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f16,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f10,f13]) ).
tff(f18,definition,
( spl0_2
<=> $less($uminus($sum(a,$uminus($product(2,b)))),20) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f21,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f11,f18]) ).
tff(f23,definition,
( spl0_3
<=> $less(a,0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f26,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f7,f23]) ).
tff(f27,plain,
$false,
inference(avatar_smt_refutation,[],[f26,f21,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI651_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n018.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 20:57:10 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 3.89/1.33 % (3773537)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.89/1.33 % (3773567)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3694452469:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.89/1.33 % (3773567)Instruction limit reached!
% 3.89/1.33 % (3773567)------------------------------
% 3.89/1.33 % (3773567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.33 % (3773567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.33 % (3773567)CaDiCaL version: 2.1.3
% 3.89/1.33 % (3773567)Termination reason: Instruction limit
% 3.89/1.33 % (3773567)Termination phase: Saturation
% 3.89/1.33 % (3773567)Time elapsed: 0.002 s
% 3.89/1.33 % (3773567)Peak memory usage: 88 MB
% 3.89/1.33 % (3773567)Instructions burned: 4 (million)
% 3.89/1.33 % (3773566)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=894751200:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.89/1.33 % (3773568)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3041070506:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.89/1.33 % (3773569)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=230177874:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.89/1.33 % (3773565)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4173394351:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.89/1.33 % (3773564)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1128949460:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.89/1.33 % (3773563)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1671204503:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.89/1.33 % (3773566)Instruction limit reached!
% 3.89/1.33 % (3773566)------------------------------
% 3.89/1.33 % (3773566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.33 % (3773566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.33 % (3773566)CaDiCaL version: 2.1.3
% 3.89/1.33 % (3773566)Termination reason: Instruction limit
% 3.89/1.33 % (3773566)Termination phase: Saturation
% 3.89/1.33 % (3773566)Time elapsed: 0.005 s
% 3.89/1.33 % (3773566)Peak memory usage: 88 MB
% 3.89/1.33 % (3773566)Instructions burned: 8 (million)
% 3.89/1.33 % (3773563)Refutation not found, incomplete strategy
% 3.89/1.33 % (3773563)------------------------------
% 3.89/1.33 % (3773563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.33 % (3773563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.33 % (3773563)CaDiCaL version: 2.1.3
% 3.89/1.33 % (3773563)Termination reason: Refutation not found, incomplete strategy
% 3.89/1.33 % (3773563)Time elapsed: 0.027 s
% 3.89/1.33 % (3773563)Peak memory usage: 111 MB
% 3.89/1.33 % (3773563)Instructions burned: 5 (million)
% 3.89/1.33 % (3773568)Also succeeded, but the first one will report.
% 3.89/1.33 % (3773564)First to succeed.
% 3.89/1.33 % (3773569)Also succeeded, but the first one will report.
% 3.89/1.33 % (3773564)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3773537"
% 3.89/1.33 % (3773571)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1877013905:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.89/1.33 % (3773571)Refutation not found, incomplete strategy
% 3.89/1.33 % (3773571)------------------------------
% 3.89/1.33 % (3773571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.33 % (3773571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.33 % (3773571)CaDiCaL version: 2.1.3
% 3.89/1.33 % (3773571)Termination reason: Refutation not found, incomplete strategy
% 3.89/1.33 % (3773571)Time elapsed: 0.0000 s
% 3.89/1.33 % (3773571)Peak memory usage: 88 MB
% 3.89/1.33 % (3773578)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=2808721836:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.89/1.33 % (3773565)Instruction limit reached!
% 3.89/1.33 % (3773565)------------------------------
% 3.89/1.33 % (3773565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.33 % (3773565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.33 % (3773565)CaDiCaL version: 2.1.3
% 3.89/1.33 % (3773565)Termination reason: Instruction limit
% 3.89/1.33 % (3773565)Termination phase: Saturation
% 3.89/1.33 % (3773565)Time elapsed: 0.177 s
% 3.89/1.33 % (3773565)Peak memory usage: 117 MB
% 3.89/1.33 % (3773565)Instructions burned: 201 (million)
% 3.89/1.33 % (3773578)Instruction limit reached!
% 3.89/1.33 % (3773578)------------------------------
% 3.89/1.33 % (3773578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.33 % (3773578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.33 % (3773578)CaDiCaL version: 2.1.3
% 3.89/1.33 % (3773578)Termination reason: Instruction limit
% 3.89/1.33 % (3773578)Termination phase: Saturation
% 3.89/1.33 % (3773578)Time elapsed: 0.015 s
% 3.89/1.33 % (3773578)Peak memory usage: 88 MB
% 3.89/1.33 % (3773578)Instructions burned: 31 (million)
% 3.89/1.33 % (3773571)------------------------------
% 3.89/1.33 % (3773571)------------------------------
% 3.89/1.33 % (3773563)------------------------------
% 3.89/1.33 % (3773563)------------------------------
% 3.89/1.33 % (3773564)Refutation found. Thanks to Tanya!
% 3.89/1.33 % SZS status Unsatisfiable for theBenchmark
% 3.89/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.89/1.33 % (3773564)------------------------------
% 3.89/1.33 % (3773564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.33 % (3773564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.33 % (3773564)CaDiCaL version: 2.1.3
% 3.89/1.33 % (3773564)Termination reason: Refutation
% 3.89/1.33 % (3773564)Time elapsed: 0.032 s
% 3.89/1.33 % (3773564)Peak memory usage: 115 MB
% 3.89/1.33 % (3773564)Instructions burned: 8 (million)
% 3.89/1.33 % (3773564)------------------------------
% 3.89/1.33 % (3773564)------------------------------
% 3.89/1.33 % (3773537)Success in time 0.455 s
% 3.89/1.33 % Vampire exiting
%------------------------------------------------------------------------------