%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI524_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 : n005.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 09:33:17 AM UTC 2026
% Result : Theorem 4.31s 1.44s
% Output : Refutation 4.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI524_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n005.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 20:51:16 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 4.31/1.44 % (1155250)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.31/1.44 % (1155328)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1828757715:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.31/1.44 % (1155333)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3734278975:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.31/1.44 % (1155334)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3481219471:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.31/1.44 % (1155331)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3581627908:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.31/1.44 % (1155332)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1399290308:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.31/1.44 % (1155330)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1319775222:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.31/1.44 % (1155332)Also succeeded, but the first one will report.
% 4.31/1.44 % (1155331)First to succeed.
% 4.31/1.44 % (1155331)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1155250"
% 4.31/1.44 % (1155333)Also succeeded, but the first one will report.
% 4.31/1.44 % (1155328)Also succeeded, but the first one will report.
% 4.31/1.44 % (1155334)Also succeeded, but the first one will report.
% 4.31/1.44 % (1155330)Also succeeded, but the first one will report.
% 4.31/1.44 % (1155329)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2084524755:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.31/1.44 % (1155329)Also succeeded, but the first one will report.
% 4.31/1.44 % (1155331)Refutation found. Thanks to Tanya!
% 4.31/1.44 % SZS status Theorem for theBenchmark
% 4.31/1.44 % SZS output start Proof for theBenchmark
% 4.31/1.44 fof(f1,conjecture,(
% 4.31/1.44 $is_rat($product(5/12,7/10))),
% 4.31/1.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mixed_types_problem_29)).
% 4.31/1.44 fof(f2,negated_conjecture,(
% 4.31/1.44 ~$is_rat($product(5/12,7/10))),
% 4.31/1.44 inference(negated_conjecture,[status(cth)],[f1])).
% 4.31/1.44 fof(f3,plain,(
% 4.31/1.44 ~$true),
% 4.31/1.44 inference(theory_normalization,[],[f2])).
% 4.31/1.44 fof(f4,plain,(
% 4.31/1.44 $false),
% 4.31/1.44 inference(true_and_false_elimination,[],[f3])).
% 4.31/1.44 fof(f5,plain,(
% 4.31/1.44 $false),
% 4.31/1.44 inference(cnf_transformation,[],[f4])).
% 4.31/1.44 % SZS output end Proof for theBenchmark
% 4.31/1.44 % (1155331)------------------------------
% 4.31/1.44 % (1155331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.31/1.44 % (1155331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.31/1.44 % (1155331)CaDiCaL version: 2.1.3
% 4.31/1.44 % (1155331)Termination reason: Refutation
% 4.31/1.44 % (1155331)Time elapsed: 0.001 s
% 4.31/1.44 % (1155331)Peak memory usage: 88 MB
% 4.31/1.44 % (1155331)------------------------------
% 4.31/1.44 % (1155331)------------------------------
% 4.31/1.44 % (1155250)Success in time 0.532 s
% 4.31/1.44 % Vampire exiting
%------------------------------------------------------------------------------