%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI113_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 : n013.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 09:32:33 AM UTC 2026
% Result : Theorem 2.95s 1.19s
% Output : Refutation 2.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI113_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:42:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 2.95/1.19 % (1538809)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.95/1.19 % (1538900)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2223129266:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.95/1.19 % (1538900)First to succeed.
% 2.95/1.19 % (1538900)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1538809"
% 2.95/1.19 % (1538901)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3856543282:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.95/1.19 % (1538899)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4129210044:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.95/1.19 % (1538903)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4011432879:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.95/1.19 % (1538902)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2985892182:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.95/1.19 % (1538902)Also succeeded, but the first one will report.
% 2.95/1.19 % (1538903)Also succeeded, but the first one will report.
% 2.95/1.19 % (1538904)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=173638939:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.95/1.19 % (1538905)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1448243595:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.95/1.19 % (1538899)Also succeeded, but the first one will report.
% 2.95/1.19 % (1538901)Also succeeded, but the first one will report.
% 2.95/1.19 % (1538904)Also succeeded, but the first one will report.
% 2.95/1.19 % (1538905)Also succeeded, but the first one will report.
% 2.95/1.19 % (1538900)Refutation found. Thanks to Tanya!
% 2.95/1.19 % SZS status Theorem for theBenchmark
% 2.95/1.19 % SZS output start Proof for theBenchmark
% 2.95/1.19 fof(f1,conjecture,(
% 2.95/1.19 ? [X0 : $int] : $product(5,-2) = X0),
% 2.95/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_5_n2_what)).
% 2.95/1.19 fof(f2,negated_conjecture,(
% 2.95/1.19 ~? [X0 : $int] : $product(5,-2) = X0),
% 2.95/1.19 inference(negated_conjecture,[status(cth)],[f1])).
% 2.95/1.19 fof(f3,plain,(
% 2.95/1.19 ! [X0 : $int] : $product(5,-2) != X0),
% 2.95/1.19 inference(ennf_transformation,[],[f2])).
% 2.95/1.19 fof(f4,plain,(
% 2.95/1.19 ( ! [X0] : ($product(5,-2) != X0) )),
% 2.95/1.19 inference(cnf_transformation,[],[f3])).
% 2.95/1.19 fof(f5,plain,(
% 2.95/1.19 $false),
% 2.95/1.19 inference(equality_resolution,[],[f4])).
% 2.95/1.19 % SZS output end Proof for theBenchmark
% 2.95/1.19 % (1538900)------------------------------
% 2.95/1.19 % (1538900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.19 % (1538900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.19 % (1538900)CaDiCaL version: 2.1.3
% 2.95/1.19 % (1538900)Termination reason: Refutation
% 2.95/1.19 % (1538900)Time elapsed: 0.018 s
% 2.95/1.19 % (1538900)Peak memory usage: 111 MB
% 2.95/1.19 % (1538900)Instructions burned: 5 (million)
% 2.95/1.19 % (1538900)------------------------------
% 2.95/1.19 % (1538900)------------------------------
% 2.95/1.19 % (1538809)Success in time 0.328 s
% 2.95/1.19 % Vampire exiting
%------------------------------------------------------------------------------