%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI059_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 : n016.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 09:32:26 AM UTC 2026
% Result : Theorem 2.85s 1.23s
% Output : Refutation 2.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI059_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.26 % Computer : n016.cluster.edu
% 0.12/0.26 % Model : x86_64 x86_64
% 0.12/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.26 % Memory : 8046.5625MB
% 0.12/0.26 % OS : Linux 6.8.0-71-generic
% 0.12/0.26 % CPULimit : 300
% 0.12/0.26 % WCLimit : 300
% 0.12/0.26 % DateTime : Mon Sep 28 20:46:49 UTC 2026
% 0.12/0.26 % CPUTime :
% 0.12/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.30 Running first-order theorem proving
% 0.25/0.30 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
% 2.85/1.23 % (3968150)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.85/1.23 % (3968233)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4280026852:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.85/1.23 % (3968233)First to succeed.
% 2.85/1.23 % (3968233)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3968150"
% 2.85/1.23 % (3968232)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1191199901:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.85/1.23 % (3968240)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2537888326:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.85/1.23 % (3968236)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2627695556:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.85/1.23 % (3968238)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=437589202:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.85/1.23 % (3968235)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=760832925:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.85/1.23 % (3968234)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2463440167:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.85/1.23 % (3968236)Also succeeded, but the first one will report.
% 2.85/1.23 % (3968235)Also succeeded, but the first one will report.
% 2.85/1.23 % (3968232)Also succeeded, but the first one will report.
% 2.85/1.23 % (3968240)Also succeeded, but the first one will report.
% 2.85/1.23 % (3968234)Also succeeded, but the first one will report.
% 2.85/1.23 % (3968238)Also succeeded, but the first one will report.
% 2.85/1.23 % (3968233)Refutation found. Thanks to Tanya!
% 2.85/1.23 % SZS status Theorem for theBenchmark
% 2.85/1.23 % SZS output start Proof for theBenchmark
% 2.85/1.23 fof(f1,conjecture,(
% 2.85/1.23 ? [X0 : $int] : $sum(23,34) = X0),
% 2.85/1.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_23_34_something)).
% 2.85/1.23 fof(f2,negated_conjecture,(
% 2.85/1.23 ~? [X0 : $int] : $sum(23,34) = X0),
% 2.85/1.23 inference(negated_conjecture,[status(cth)],[f1])).
% 2.85/1.23 fof(f3,plain,(
% 2.85/1.23 ! [X0 : $int] : $sum(23,34) != X0),
% 2.85/1.23 inference(ennf_transformation,[],[f2])).
% 2.85/1.23 fof(f4,plain,(
% 2.85/1.23 ( ! [X0] : ($sum(23,34) != X0) )),
% 2.85/1.23 inference(cnf_transformation,[],[f3])).
% 2.85/1.23 fof(f5,plain,(
% 2.85/1.23 $false),
% 2.85/1.23 inference(equality_resolution,[],[f4])).
% 2.85/1.23 % SZS output end Proof for theBenchmark
% 2.85/1.23 % (3968233)------------------------------
% 2.85/1.23 % (3968233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/1.23 % (3968233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/1.23 % (3968233)CaDiCaL version: 2.1.3
% 2.85/1.23 % (3968233)Termination reason: Refutation
% 2.85/1.23 % (3968233)Time elapsed: 0.016 s
% 2.85/1.23 % (3968233)Peak memory usage: 111 MB
% 2.85/1.23 % (3968233)Instructions burned: 5 (million)
% 2.85/1.23 % (3968233)------------------------------
% 2.85/1.23 % (3968233)------------------------------
% 2.85/1.23 % (3968150)Success in time 0.296 s
% 2.85/1.23 % Vampire exiting
%------------------------------------------------------------------------------