0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n014.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Wed Jul 30 06:06:04 EDT 2025 0.12/0.33 % CPUTime : 0.12/0.35 This is a TFF_ problem 0.12/0.35 Running first-order theorem proving 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.44 % (25402)Running in auto input_syntax mode. Trying TPTP 0.21/0.44 % (25407)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1371962475:s2a=on:i=7:rtra=on:inst=on_1200 on theBenchmark for (1200ds/7Mi) 0.21/0.44 % (25407)Instruction limit reached! 0.21/0.44 % (25407)------------------------------ 0.21/0.44 % (25407)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.44 % (25407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.44 % (25407)Termination reason: Instruction limit 0.21/0.44 % (25407)Termination phase: Saturation 0.21/0.44 0.21/0.44 % (25407)Time elapsed: 0.005 s 0.21/0.44 % (25407)Peak memory usage: 8 MB 0.21/0.44 % (25407)Instructions burned: 8 (million) 0.21/0.46 % (25402)Running in auto input_syntax mode. Trying TPTP 0.21/0.46 % (25409)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3815010039:i=46:rtra=on_1200 on theBenchmark for (1200ds/46Mi) 0.21/0.46 % (25402)Running in auto input_syntax mode. Trying TPTP 0.21/0.46 % (25410)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2658042210:i=33:rtra=on_1200 on theBenchmark for (1200ds/33Mi) 0.21/0.47 % (25402)Running in auto input_syntax mode. Trying TPTP 0.21/0.47 % (25405)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1931205431:i=307:kws=precedence:nm=0:rtra=on_1200 on theBenchmark for (1200ds/307Mi) 0.21/0.47 % (25402)Running in auto input_syntax mode. Trying TPTP 0.21/0.47 % (25406)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4012556624:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1200 on theBenchmark for (1200ds/201Mi) 0.21/0.47 % (25402)Running in auto input_syntax mode. Trying TPTP 0.21/0.47 % (25408)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=8071162:i=4:rtra=on_1200 on theBenchmark for (1200ds/4Mi) 0.21/0.47 % (25402)Running in auto input_syntax mode. Trying TPTP 0.21/0.47 % (25404)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=1350570068:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1200 on theBenchmark for (1200ds/12Mi) 0.21/0.48 % (25409)First to succeed. 0.21/0.48 % (25409)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25402" 0.21/0.48 % (25410)Also succeeded, but the first one will report. 0.21/0.48 % (25402)Running in auto input_syntax mode. Trying TPTP 0.21/0.48 % (25409)Refutation found. Thanks to Tanya! 0.21/0.48 % SZS status Theorem for theBenchmark 0.21/0.48 % SZS output start Proof for theBenchmark 0.21/0.48 tff(func_def_0, type, a: $int). 0.21/0.48 tff(f18,plain,( 0.21/0.48 $false), 0.21/0.48 inference(avatar_smt_refutation,[],[f16,f17])). 0.21/0.48 tff(f17,plain,( 0.21/0.48 spl0_2 | spl0_1), 0.21/0.48 inference(avatar_split_clause,[],[f7,f9,f13])). 0.21/0.48 tff(f13,definition,( 0.21/0.48 spl0_2 <=> $less($product($product(a,a),a),11)), 0.21/0.48 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])). 0.21/0.48 tff(f9,definition,( 0.21/0.48 spl0_1 <=> $less(a,3)), 0.21/0.48 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])). 0.21/0.48 tff(f7,plain,( 0.21/0.48 $less($product($product(a,a),a),11) | $less(a,3)), 0.21/0.48 inference(cnf_transformation,[],[f5])). 0.21/0.48 tff(f5,plain,( 0.21/0.48 ($less($product($product(a,a),a),11) | $less(a,3)) & (~$less($product($product(a,a),a),11) | ~$less(a,3))), 0.21/0.48 inference(nnf_transformation,[],[f4])). 0.21/0.48 tff(f4,plain,( 0.21/0.48 ~$less(a,3) <~> ~$less($product($product(a,a),a),11)), 0.21/0.48 inference(ennf_transformation,[],[f3])). 0.21/0.48 tff(f3,plain,( 0.21/0.48 ~(~$less($product($product(a,a),a),11) <=> ~$less(a,3))), 0.21/0.48 inference(theory_normalization,[],[f2])). 0.21/0.48 tff(f2,negated_conjecture,( 0.21/0.48 ~($lesseq(11,$product($product(a,a),a)) <=> $lesseq(3,a))), 0.21/0.48 inference(negated_conjecture,[status(cth)],[f1])). 0.21/0.48 tff(f1,conjecture,( 0.21/0.48 $lesseq(11,$product($product(a,a),a)) <=> $lesseq(3,a)), 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.48 tff(f16,plain,( 0.21/0.48 ~spl0_1 | ~spl0_2), 0.21/0.48 inference(avatar_split_clause,[],[f6,f13,f9])). 0.21/0.48 tff(f6,plain,( 0.21/0.48 ~$less($product($product(a,a),a),11) | ~$less(a,3)), 0.21/0.48 inference(cnf_transformation,[],[f5])). 0.21/0.48 % SZS output end Proof for theBenchmark 0.21/0.48 % (25409)------------------------------ 0.21/0.48 % (25409)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.48 % (25409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.48 % (25409)Termination reason: Refutation 0.21/0.48 0.21/0.48 % (25409)Time elapsed: 0.014 s 0.21/0.48 % (25409)Peak memory usage: 28 MB 0.21/0.48 % (25409)Instructions burned: 8 (million) 0.21/0.48 % (25409)------------------------------ 0.21/0.48 % (25409)------------------------------ 0.21/0.48 % (25402)Success in time 0.121 s 0.21/0.48 EOF