0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : run_vampire %s %d THM 0.10/0.32 % Computer : n012.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Wed Jul 30 05:59:34 EDT 2025 0.10/0.32 % CPUTime : 0.10/0.34 This is a TFF_ problem 0.10/0.34 Running first-order theorem proving 0.10/0.34 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.20/0.40 % (23505)Running in auto input_syntax mode. Trying TPTP 0.20/0.40 % (23510)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1724567426:s2a=on:i=7:rtra=on:inst=on_1200 on theBenchmark for (1200ds/7Mi) 0.20/0.41 % (23505)Running in auto input_syntax mode. Trying TPTP 0.20/0.41 % (23513)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=960941336:i=33:rtra=on_1200 on theBenchmark for (1200ds/33Mi) 0.20/0.42 % (23510)Instruction limit reached! 0.20/0.42 % (23510)------------------------------ 0.20/0.42 % (23510)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.20/0.42 % (23510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.20/0.42 % (23510)Termination reason: Instruction limit 0.20/0.42 % (23510)Termination phase: Saturation 0.20/0.42 0.20/0.42 % (23510)Time elapsed: 0.014 s 0.20/0.42 % (23510)Peak memory usage: 8 MB 0.20/0.42 % (23510)Instructions burned: 49 (million) 0.20/0.42 % (23505)Running in auto input_syntax mode. Trying TPTP 0.20/0.42 % (23512)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4083490929:i=46:rtra=on_1200 on theBenchmark for (1200ds/46Mi) 0.20/0.43 % (23505)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (23507)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=2318570779:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1200 on theBenchmark for (1200ds/12Mi) 0.20/0.43 % (23512)First to succeed. 0.20/0.43 % (23512)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23505" 0.20/0.44 % (23505)Running in auto input_syntax mode. Trying TPTP 0.20/0.44 % (23512)Refutation found. Thanks to Tanya! 0.20/0.44 % SZS status Theorem for theBenchmark 0.20/0.44 % SZS output start Proof for theBenchmark 0.20/0.44 tff(func_def_0, type, a: $int). 0.20/0.44 tff(f18,plain,( 0.20/0.44 $false), 0.20/0.44 inference(avatar_smt_refutation,[],[f16,f17])). 0.20/0.44 tff(f17,plain,( 0.20/0.44 ~spl0_2 | ~spl0_1), 0.20/0.44 inference(avatar_split_clause,[],[f6,f9,f13])). 0.20/0.44 tff(f13,definition,( 0.20/0.44 spl0_2 <=> $less($product($product($product($product(a,a),a),a),a),40)), 0.20/0.44 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])). 0.20/0.44 tff(f9,definition,( 0.20/0.44 spl0_1 <=> $less(a,3)), 0.20/0.44 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])). 0.20/0.44 tff(f6,plain,( 0.20/0.44 ~$less(a,3) | ~$less($product($product($product($product(a,a),a),a),a),40)), 0.20/0.44 inference(cnf_transformation,[],[f5])). 0.20/0.44 tff(f5,plain,( 0.20/0.44 ($less($product($product($product($product(a,a),a),a),a),40) | $less(a,3)) & (~$less($product($product($product($product(a,a),a),a),a),40) | ~$less(a,3))), 0.20/0.44 inference(nnf_transformation,[],[f4])). 0.20/0.44 tff(f4,plain,( 0.20/0.44 ~$less(a,3) <~> ~$less($product($product($product($product(a,a),a),a),a),40)), 0.20/0.44 inference(ennf_transformation,[],[f3])). 0.20/0.44 tff(f3,plain,( 0.20/0.44 ~(~$less(a,3) <=> ~$less($product($product($product($product(a,a),a),a),a),40))), 0.20/0.44 inference(theory_normalization,[],[f2])). 0.20/0.44 tff(f2,negated_conjecture,( 0.20/0.44 ~($lesseq(3,a) <=> $lesseq(40,$product($product($product($product(a,a),a),a),a)))), 0.20/0.44 inference(negated_conjecture,[status(cth)],[f1])). 0.20/0.44 tff(f1,conjecture,( 0.20/0.44 $lesseq(3,a) <=> $lesseq(40,$product($product($product($product(a,a),a),a),a))), 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.20/0.44 tff(f16,plain,( 0.20/0.44 spl0_1 | spl0_2), 0.20/0.44 inference(avatar_split_clause,[],[f7,f13,f9])). 0.20/0.44 tff(f7,plain,( 0.20/0.44 $less($product($product($product($product(a,a),a),a),a),40) | $less(a,3)), 0.20/0.44 inference(cnf_transformation,[],[f5])). 0.20/0.44 % SZS output end Proof for theBenchmark 0.20/0.44 % (23512)------------------------------ 0.20/0.44 % (23512)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.20/0.44 % (23512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.20/0.44 % (23512)Termination reason: Refutation 0.20/0.44 0.20/0.44 % (23512)Time elapsed: 0.011 s 0.20/0.44 % (23512)Peak memory usage: 28 MB 0.20/0.44 % (23512)Instructions burned: 8 (million) 0.20/0.44 % (23512)------------------------------ 0.20/0.44 % (23512)------------------------------ 0.20/0.44 % (23505)Success in time 0.091 s 0.20/0.44 % (23513)Refutation not found, SMT solver inside AVATAR returned Unknown% (23513)------------------------------ 0.20/0.44 % (23513)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.20/0.44 % (23513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.20/0.44 % (23513)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown 0.20/0.44 0.20/0.44 % (23513)Time elapsed: 0.025 s 0.20/0.44 % (23513)Peak memory usage: 28 MB 0.20/0.44 % (23513)Instructions burned: 10 (million) 0.20/0.44 EOF