%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI070_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 : 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 09:32:28 AM UTC 2026
% Result : Theorem 0.25s 1.03s
% Output : Refutation 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI070_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n003.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 20:43:58 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.28 Running first-order theorem proving
% 0.09/0.28 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
% 0.25/1.03 % (1975383)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.25/1.03 % (1975393)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3672110388:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 0.25/1.03 % (1975393)First to succeed.
% 0.25/1.03 % (1975393)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1975383"
% 0.25/1.03 % (1975391)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3092339169:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 0.25/1.03 % (1975388)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=836153907:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 0.25/1.03 % (1975390)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2193508079:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 0.25/1.03 % (1975389)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=286432551:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 0.25/1.03 % (1975391)Also succeeded, but the first one will report.
% 0.25/1.03 % (1975392)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3826592702:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 0.25/1.03 % (1975392)Also succeeded, but the first one will report.
% 0.25/1.03 % (1975394)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2770525621:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 0.25/1.03 % (1975389)Also succeeded, but the first one will report.
% 0.25/1.03 % (1975390)Also succeeded, but the first one will report.
% 0.25/1.03 % (1975388)Also succeeded, but the first one will report.
% 0.25/1.03 % (1975394)Also succeeded, but the first one will report.
% 0.25/1.03 % (1975393)Refutation found. Thanks to Tanya!
% 0.25/1.03 % SZS status Theorem for theBenchmark
% 0.25/1.03 % SZS output start Proof for theBenchmark
% 0.25/1.03 fof(f1,conjecture,(
% 0.25/1.03 ? [X0 : $int] : $sum(-2,-5) = X0),
% 0.25/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_n2_n5_what)).
% 0.25/1.03 fof(f2,negated_conjecture,(
% 0.25/1.03 ~? [X0 : $int] : $sum(-2,-5) = X0),
% 0.25/1.03 inference(negated_conjecture,[status(cth)],[f1])).
% 0.25/1.03 fof(f3,plain,(
% 0.25/1.03 ! [X0 : $int] : $sum(-2,-5) != X0),
% 0.25/1.03 inference(ennf_transformation,[],[f2])).
% 0.25/1.03 fof(f4,plain,(
% 0.25/1.03 ( ! [X0] : ($sum(-2,-5) != X0) )),
% 0.25/1.03 inference(cnf_transformation,[],[f3])).
% 0.25/1.03 fof(f5,plain,(
% 0.25/1.03 $false),
% 0.25/1.03 inference(equality_resolution,[],[f4])).
% 0.25/1.03 % SZS output end Proof for theBenchmark
% 0.25/1.03 % (1975393)------------------------------
% 0.25/1.03 % (1975393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/1.03 % (1975393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/1.03 % (1975393)CaDiCaL version: 2.1.3
% 0.25/1.03 % (1975393)Termination reason: Refutation
% 0.25/1.03 % (1975393)Time elapsed: 0.016 s
% 0.25/1.03 % (1975393)Peak memory usage: 111 MB
% 0.25/1.03 % (1975393)Instructions burned: 5 (million)
% 0.25/1.03 % (1975393)------------------------------
% 0.25/1.03 % (1975393)------------------------------
% 0.25/1.03 % (1975383)Success in time 0.276 s
% 0.25/1.03 % Vampire exiting
%------------------------------------------------------------------------------