%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI415_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 09:33:06 AM UTC 2026
% Result : Theorem 1.00s 1.13s
% Output : Refutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 11 unt; 0 typ; 2 def)
% Number of atoms : 13 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 5 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 25 ( 0 atm; 6 fun; 19 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 : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sF0: $real ).
tff(f1,conjecture,
$sum(293/20,-293/20) = 0/1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_sum_problem_15) ).
tff(f2,negated_conjecture,
( ( ~ $sum(293/20,-293/20) ) = 0/1 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
$sum(293/20,-293/20) != 0/1,
inference(flattening,[],[f2]) ).
tff(f4,plain,
$sum(293/20,-293/20) != 0/1,
inference(cnf_transformation,[],[f3]) ).
tff(f5,definition,
sF0 = $sum(293/20,-293/20),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f6,plain,
$sum(293/20,-293/20) = sF0,
inference(reorient_equations,[],[f5]) ).
tff(f7,plain,
0/1 != sF0,
inference(definition_folding,[],[f4,f6]) ).
tff(f8,plain,
0/1 = sF0,
inference(evaluation,[],[f6]) ).
tff(f10,definition,
( spl1_1
<=> ( 0/1 = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f13,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f7,f10]) ).
tff(f14,plain,
spl1_1,
inference(avatar_split_clause,[],[f8,f10]) ).
tff(f15,plain,
$false,
inference(avatar_smt_refutation,[],[f14,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI415_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n026.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Mon Sep 28 20:52:42 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.31 Running first-order theorem proving
% 0.27/0.31 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
% 1.00/1.13 % (49894)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 1.00/1.13 % (49940)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2924733402:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 1.00/1.13 % (49940)First to succeed.
% 1.00/1.13 % (49940)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-49894"
% 1.00/1.13 % (49939)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1274954933:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 1.00/1.13 % (49944)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4256245633:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 1.00/1.13 % (49943)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1353087238:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 1.00/1.13 % (49946)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=953579582:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 1.00/1.13 % (49941)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=482031525:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 1.00/1.13 % (49942)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3348726374:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 1.00/1.13 % (49943)Also succeeded, but the first one will report.
% 1.00/1.13 % (49942)Also succeeded, but the first one will report.
% 1.00/1.13 % (49939)Also succeeded, but the first one will report.
% 1.00/1.13 % (49944)Also succeeded, but the first one will report.
% 1.00/1.13 % (49941)Also succeeded, but the first one will report.
% 1.00/1.13 % (49946)Also succeeded, but the first one will report.
% 1.00/1.13 % (49940)Refutation found. Thanks to Tanya!
% 1.00/1.13 % SZS status Theorem for theBenchmark
% 1.00/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 1.00/1.13 % (49940)------------------------------
% 1.00/1.13 % (49940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.00/1.13 % (49940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/1.13 % (49940)CaDiCaL version: 2.1.3
% 1.00/1.13 % (49940)Termination reason: Refutation
% 1.00/1.13 % (49940)Time elapsed: 0.018 s
% 1.00/1.13 % (49940)Peak memory usage: 115 MB
% 1.00/1.13 % (49940)Instructions burned: 7 (million)
% 1.00/1.13 % (49940)------------------------------
% 1.00/1.13 % (49940)------------------------------
% 1.00/1.13 % (49894)Success in time 0.286 s
% 1.00/1.13 % Vampire exiting
%------------------------------------------------------------------------------