0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d THM 0.13/0.33 % Computer : n026.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Wed Jul 30 06:02:04 EDT 2025 0.13/0.34 % CPUTime : 0.13/0.36 This is a TFF_ problem 0.13/0.36 Running first-order theorem proving 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.22/0.44 % (16823)Running in auto input_syntax mode. Trying TPTP 0.22/0.44 % (16828)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3073311832:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi) 0.22/0.44 % (16823)Running in auto input_syntax mode. Trying TPTP 0.22/0.44 % (16826)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=854869237:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi) 0.22/0.44 % (16823)Running in auto input_syntax mode. Trying TPTP 0.22/0.44 % (16830)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4263748059:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi) 0.22/0.44 % (16823)Running in auto input_syntax mode. Trying TPTP 0.22/0.44 % (16827)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4104525489:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi) 0.22/0.44 % (16823)Running in auto input_syntax mode. Trying TPTP 0.22/0.44 % (16829)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1493636879:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi) 0.22/0.44 % (16823)Running in auto input_syntax mode. Trying TPTP 0.22/0.44 % (16825)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=1771698534:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi) 0.22/0.44 % (16829)Instruction limit reached! 0.22/0.44 % (16829)------------------------------ 0.22/0.44 % (16829)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.44 % (16829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.44 % (16829)Termination reason: Instruction limit 0.22/0.44 % (16829)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (16829)Time elapsed: 0.003 s 0.22/0.44 % (16829)Peak memory usage: 7 MB 0.22/0.44 % (16829)Instructions burned: 4 (million) 0.22/0.44 % (16828)Instruction limit reached! 0.22/0.44 % (16828)------------------------------ 0.22/0.44 % (16828)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.44 % (16828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.44 % (16828)Termination reason: Instruction limit 0.22/0.44 % (16828)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (16828)Time elapsed: 0.004 s 0.22/0.44 % (16828)Peak memory usage: 8 MB 0.22/0.44 % (16828)Instructions burned: 7 (million) 0.22/0.45 % (16823)Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (16831)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1006034134:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi) 0.22/0.46 % (16825)Instruction limit reached! 0.22/0.46 % (16825)------------------------------ 0.22/0.46 % (16825)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.46 % (16825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.46 % (16825)Termination reason: Instruction limit 0.22/0.46 % (16825)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (16825)Time elapsed: 0.017 s 0.22/0.46 % (16825)Peak memory usage: 29 MB 0.22/0.46 % (16825)Instructions burned: 12 (million) 0.22/0.46 % (16830)First to succeed. 0.22/0.46 % (16830)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16823" 0.22/0.46 % (16823)Running in auto input_syntax mode. Trying TPTP 0.22/0.46 % (16830)Refutation found. Thanks to Tanya! 0.22/0.46 % SZS status Theorem for theBenchmark 0.22/0.46 % SZS output start Proof for theBenchmark 0.22/0.46 tff(func_def_0, type, y: $real). 0.22/0.46 tff(func_def_1, type, x: $real). 0.22/0.46 tff(func_def_2, type, v: $real). 0.22/0.46 tff(func_def_3, type, u: $real). 0.22/0.46 tff(f48,plain,( 0.22/0.46 $false), 0.22/0.46 inference(avatar_smt_refutation,[],[f22,f27,f32,f37,f42,f47])). 0.22/0.46 tff(f47,plain,( 0.22/0.46 spl0_6), 0.22/0.46 inference(avatar_split_clause,[],[f12,f44])). 0.22/0.46 tff(f44,definition,( 0.22/0.46 spl0_6 <=> $less(u,v)), 0.22/0.46 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])). 0.22/0.46 tff(f12,plain,( 0.22/0.46 $less(u,v)), 0.22/0.46 inference(cnf_transformation,[],[f3])). 0.22/0.46 tff(f3,axiom,( 0.22/0.46 $less(u,v)), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.22/0.46 tff(f42,plain,( 0.22/0.46 spl0_5), 0.22/0.46 inference(avatar_split_clause,[],[f17,f39])). 0.22/0.46 tff(f39,definition,( 0.22/0.46 spl0_5 <=> $less(v,1/1)), 0.22/0.46 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])). 0.22/0.46 tff(f17,plain,( 0.22/0.46 $less(v,1/1)), 0.22/0.46 inference(cnf_transformation,[],[f2])). 0.22/0.46 tff(f2,axiom,( 0.22/0.46 $less(v,1/1)), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.22/0.46 tff(f37,plain,( 0.22/0.46 ~spl0_4), 0.22/0.46 inference(avatar_split_clause,[],[f14,f34])). 0.22/0.46 tff(f34,definition,( 0.22/0.46 spl0_4 <=> $less($product($product(2/1,$product(u,u)),x),$product($product(y,y),v))), 0.22/0.46 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])). 0.22/0.46 tff(f14,plain,( 0.22/0.46 ~$less($product($product(2/1,$product(u,u)),x),$product($product(y,y),v))), 0.22/0.46 inference(cnf_transformation,[],[f11])). 0.22/0.46 tff(f11,plain,( 0.22/0.46 ~$less($product($product(2/1,$product(u,u)),x),$product($product(y,y),v))), 0.22/0.46 inference(flattening,[],[f7])). 0.22/0.46 tff(f7,negated_conjecture,( 0.22/0.46 ~$less($product($product(2/1,$product(u,u)),x),$product($product(y,y),v))), 0.22/0.46 inference(negated_conjecture,[status(cth)],[f6])). 0.22/0.46 tff(f6,conjecture,( 0.22/0.46 $less($product($product(2/1,$product(u,u)),x),$product($product(y,y),v))), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.22/0.46 tff(f32,plain,( 0.22/0.46 spl0_3), 0.22/0.46 inference(avatar_split_clause,[],[f16,f29])). 0.22/0.46 tff(f29,definition,( 0.22/0.46 spl0_3 <=> $less(0/1,u)), 0.22/0.46 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])). 0.22/0.46 tff(f16,plain,( 0.22/0.46 $less(0/1,u)), 0.22/0.46 inference(cnf_transformation,[],[f8])). 0.22/0.46 tff(f8,plain,( 0.22/0.46 $less(0/1,u)), 0.22/0.46 inference(theory_normalization,[],[f4])). 0.22/0.46 tff(f4,axiom,( 0.22/0.46 $greater(u,0/1)), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.22/0.46 tff(f27,plain,( 0.22/0.46 ~spl0_2), 0.22/0.46 inference(avatar_split_clause,[],[f15,f24])). 0.22/0.46 tff(f24,definition,( 0.22/0.46 spl0_2 <=> $less(x,2/1)), 0.22/0.46 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])). 0.22/0.46 tff(f15,plain,( 0.22/0.46 ~$less(x,2/1)), 0.22/0.46 inference(cnf_transformation,[],[f9])). 0.22/0.46 tff(f9,plain,( 0.22/0.46 ~$less(x,2/1)), 0.22/0.46 inference(theory_normalization,[],[f1])). 0.22/0.46 tff(f1,axiom,( 0.22/0.46 $greatereq(x,2/1)), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.22/0.46 tff(f22,plain,( 0.22/0.46 ~spl0_1), 0.22/0.46 inference(avatar_split_clause,[],[f13,f19])). 0.22/0.46 tff(f19,definition,( 0.22/0.46 spl0_1 <=> $less(y,x)), 0.22/0.46 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])). 0.22/0.46 tff(f13,plain,( 0.22/0.46 ~$less(y,x)), 0.22/0.46 inference(cnf_transformation,[],[f10])). 0.22/0.46 tff(f10,plain,( 0.22/0.46 ~$less(y,x)), 0.22/0.46 inference(theory_normalization,[],[f5])). 0.22/0.46 tff(f5,axiom,( 0.22/0.46 $lesseq(x,y)), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.22/0.46 % SZS output end Proof for theBenchmark 0.22/0.46 % (16830)------------------------------ 0.22/0.46 % (16830)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.46 % (16830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.46 % (16830)Termination reason: Refutation 0.22/0.46 0.22/0.46 % (16830)Time elapsed: 0.019 s 0.22/0.46 % (16830)Peak memory usage: 28 MB 0.22/0.46 % (16830)Instructions burned: 12 (million) 0.22/0.46 % (16830)------------------------------ 0.22/0.46 % (16830)------------------------------ 0.22/0.46 % (16823)Success in time 0.099 s 0.22/0.46 EOF