%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI446_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:33:10 AM UTC 2026
% Result : Theorem 2.33s 0.74s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 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 : 16 ( 0 atm; 4 fun; 12 num; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
$product(5000/1,5/2) != 12000/1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_product_problem_11) ).
tff(f2,negated_conjecture,
( ( ~ $product(5000/1,5/2) ) != 12000/1 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
$product(5000/1,5/2) = 12000/1,
inference(flattening,[],[f2]) ).
tff(f21,plain,
$product(5000/1,5/2) = 12000/1,
inference(cnf_transformation,[],[f20]) ).
tff(f23,plain,
$false,
inference(evaluation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ARI446_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 20:49:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 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
% 2.33/0.74 % (3741310)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.33/0.74 % (3741387)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=503617780:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 2.33/0.74 % (3741389)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=209970859:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 2.33/0.74 % (3741386)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2242217707:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 2.33/0.74 % (3741384)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2341587099:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 2.33/0.74 % (3741388)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2265864150:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 2.33/0.74 % (3741382)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2086261997:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 2.33/0.74 % (3741383)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=191121172:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 2.33/0.74 % (3741387)Also succeeded, but the first one will report.
% 2.33/0.74 % (3741386)First to succeed.
% 2.33/0.74 % (3741386)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3741310"
% 2.33/0.74 % (3741382)Also succeeded, but the first one will report.
% 2.33/0.74 % (3741388)Also succeeded, but the first one will report.
% 2.33/0.74 % (3741384)Also succeeded, but the first one will report.
% 2.33/0.74 % (3741389)Also succeeded, but the first one will report.
% 2.33/0.74 % (3741383)Also succeeded, but the first one will report.
% 2.33/0.74 % (3741386)Refutation found. Thanks to Tanya!
% 2.33/0.74 % SZS status Theorem for theBenchmark
% 2.33/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.33/0.74 % (3741386)------------------------------
% 2.33/0.74 % (3741386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/0.74 % (3741386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.74 % (3741386)CaDiCaL version: 2.1.3
% 2.33/0.74 % (3741386)Termination reason: Refutation
% 2.33/0.74 % (3741386)Time elapsed: 0.001 s
% 2.33/0.74 % (3741386)Peak memory usage: 88 MB
% 2.33/0.74 % (3741386)------------------------------
% 2.33/0.74 % (3741386)------------------------------
% 2.33/0.74 % (3741310)Success in time 0.291 s
% 2.33/0.74 % Vampire exiting
%------------------------------------------------------------------------------