0.07/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.09 % Command : run_vampire %s %d THM 0.09/0.29 % Computer : n026.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 960 0.09/0.29 % WCLimit : 120 0.09/0.29 % DateTime : Wed Jul 30 06:31:34 EDT 2025 0.09/0.29 % CPUTime : 0.09/0.31 This is a TFF_ problem 0.16/0.31 Running first-order theorem proving 0.16/0.31 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.16/0.38 % (11510)Running in auto input_syntax mode. Trying TPTP 0.16/0.38 % (11517)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2654130427:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi) 0.16/0.38 % (11510)Running in auto input_syntax mode. Trying TPTP 0.16/0.38 % (11518)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=943161478:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi) 0.16/0.38 % (11510)Running in auto input_syntax mode. Trying TPTP 0.16/0.38 % (11516)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=469962543:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi) 0.16/0.38 % (11510)Running in auto input_syntax mode. Trying TPTP 0.16/0.38 % (11513)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=709631035:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi) 0.16/0.38 % (11510)Running in auto input_syntax mode. Trying TPTP 0.16/0.38 % (11514)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1148507757:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi) 0.16/0.38 % (11510)Running in auto input_syntax mode. Trying TPTP 0.16/0.38 % (11515)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=615011448:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi) 0.16/0.39 % (11510)Running in auto input_syntax mode. Trying TPTP 0.16/0.39 % (11512)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=2457036728:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi) 0.16/0.39 % (11516)Instruction limit reached! 0.16/0.39 % (11516)------------------------------ 0.16/0.39 % (11516)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.16/0.39 % (11516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.16/0.39 % (11516)Termination reason: Instruction limit 0.16/0.39 % (11516)Termination phase: Saturation 0.16/0.39 0.16/0.39 % (11516)Time elapsed: 0.003 s 0.16/0.39 % (11516)Peak memory usage: 7 MB 0.16/0.39 % (11516)Instructions burned: 5 (million) 0.16/0.39 % (11515)Instruction limit reached! 0.16/0.39 % (11515)------------------------------ 0.16/0.39 % (11515)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.16/0.39 % (11515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.16/0.39 % (11515)Termination reason: Instruction limit 0.16/0.39 % (11515)Termination phase: Saturation 0.16/0.39 0.16/0.39 % (11515)Time elapsed: 0.004 s 0.16/0.39 % (11515)Peak memory usage: 7 MB 0.16/0.39 % (11515)Instructions burned: 7 (million) 0.16/0.40 % (11512)Also succeeded, but the first one will report. 0.16/0.40 % (11517)First to succeed. 0.16/0.40 % (11517)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11510" 0.16/0.40 % (11510)Running in auto input_syntax mode. Trying TPTP 0.16/0.40 % (11517)Refutation found. Thanks to Tanya! 0.16/0.40 % SZS status Theorem for theBenchmark 0.16/0.40 % SZS output start Proof for theBenchmark 0.16/0.40 tff(func_def_0, type, b: $int). 0.16/0.40 tff(func_def_1, type, c: $int). 0.16/0.40 tff(func_def_2, type, g: $int). 0.16/0.40 tff(func_def_3, type, h: $int). 0.16/0.40 tff(func_def_4, type, a: $int). 0.16/0.40 tff(func_def_5, type, f: $int). 0.16/0.40 tff(func_def_6, type, i: $int). 0.16/0.40 tff(func_def_7, type, d: $int). 0.16/0.40 tff(func_def_8, type, e: $int). 0.16/0.40 tff(f58,plain,( 0.16/0.40 $false), 0.16/0.40 inference(avatar_smt_refutation,[],[f27,f32,f37,f42,f47,f52,f57])). 0.16/0.40 tff(f57,plain,( 0.16/0.40 spl0_7), 0.16/0.40 inference(avatar_split_clause,[],[f17,f54])). 0.16/0.40 tff(f54,definition,( 0.16/0.40 spl0_7 <=> $less(h,g)), 0.16/0.40 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])). 0.16/0.40 tff(f17,plain,( 0.16/0.40 $less(h,g)), 0.16/0.40 inference(cnf_transformation,[],[f2])). 0.16/0.40 tff(f2,axiom,( 0.16/0.40 $less(h,g)), 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.16/0.40 tff(f52,plain,( 0.16/0.40 spl0_6), 0.16/0.40 inference(avatar_split_clause,[],[f20,f49])). 0.16/0.40 tff(f49,definition,( 0.16/0.40 spl0_6 <=> $less(e,a)), 0.16/0.40 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])). 0.16/0.40 tff(f20,plain,( 0.16/0.40 $less(e,a)), 0.16/0.40 inference(cnf_transformation,[],[f6])). 0.16/0.40 tff(f6,axiom,( 0.16/0.40 $less(e,a)), 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.16/0.40 tff(f47,plain,( 0.16/0.40 ~spl0_5), 0.16/0.40 inference(avatar_split_clause,[],[f14,f44])). 0.16/0.40 tff(f44,definition,( 0.16/0.40 spl0_5 <=> $less(d,a)), 0.16/0.40 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])). 0.16/0.40 tff(f14,plain,( 0.16/0.40 ~$less(d,a)), 0.16/0.40 inference(cnf_transformation,[],[f9])). 0.16/0.40 tff(f9,plain,( 0.16/0.40 ~$less(d,a)), 0.16/0.40 inference(theory_normalization,[],[f7])). 0.16/0.40 tff(f7,axiom,( 0.16/0.40 $lesseq(a,d)), 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.16/0.40 tff(f42,plain,( 0.16/0.40 ~spl0_4), 0.16/0.40 inference(avatar_split_clause,[],[f16,f39])). 0.16/0.40 tff(f39,definition,( 0.16/0.40 spl0_4 <=> $less(f,g)), 0.16/0.40 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])). 0.16/0.40 tff(f16,plain,( 0.16/0.40 ~$less(f,g)), 0.16/0.40 inference(cnf_transformation,[],[f10])). 0.16/0.40 tff(f10,plain,( 0.16/0.40 ~$less(f,g)), 0.16/0.40 inference(theory_normalization,[],[f8])). 0.16/0.40 tff(f8,axiom,( 0.16/0.40 $lesseq(g,f)), 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.16/0.40 tff(f37,plain,( 0.16/0.40 ~spl0_3), 0.16/0.40 inference(avatar_split_clause,[],[f22,f34])). 0.16/0.40 tff(f34,definition,( 0.16/0.40 spl0_3 <=> $less($sum($sum(b,$product(c,g)),$uminus($product(c,h))),$sum($product(a,f),$uminus($product(a,h))))), 0.16/0.40 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])). 0.16/0.40 tff(f22,plain,( 0.16/0.40 ~$less($sum($sum(b,$product(c,g)),$uminus($product(c,h))),$sum($product(a,f),$uminus($product(a,h))))), 0.16/0.40 inference(evaluation,[],[f15])). 0.16/0.40 tff(f15,plain,( 0.16/0.40 ~$less($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$sum($product(a,f),$product(-1,$product(a,h))))), 0.16/0.40 inference(cnf_transformation,[],[f12])). 0.16/0.40 tff(f12,plain,( 0.16/0.40 ~$less($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$sum($product(a,f),$product(-1,$product(a,h))))), 0.16/0.40 inference(theory_normalization,[],[f3])). 0.16/0.40 tff(f3,axiom,( 0.16/0.40 $lesseq($sum($product(a,f),$product(-1,$product(a,h))),$sum($sum(b,$product(c,g)),$product(-1,$product(c,h))))), 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.16/0.40 tff(f32,plain,( 0.16/0.40 spl0_2), 0.16/0.40 inference(avatar_split_clause,[],[f21,f29])). 0.16/0.40 tff(f29,definition,( 0.16/0.40 spl0_2 <=> $less($sum($sum($sum($sum(b,$product(c,g)),$uminus($product(c,h))),$product(d,h)),$uminus($product(d,i))),$sum($product(e,f),$uminus($product(e,i))))), 0.16/0.40 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])). 0.16/0.40 tff(f21,plain,( 0.16/0.40 $less($sum($sum($sum($sum(b,$product(c,g)),$uminus($product(c,h))),$product(d,h)),$uminus($product(d,i))),$sum($product(e,f),$uminus($product(e,i))))), 0.16/0.40 inference(evaluation,[],[f18])). 0.16/0.40 tff(f18,plain,( 0.16/0.40 $less($sum($sum($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$product(d,h)),$product(-1,$product(d,i))),$sum($product(e,f),$product(-1,$product(e,i))))), 0.16/0.40 inference(cnf_transformation,[],[f13])). 0.16/0.40 tff(f13,plain,( 0.16/0.40 $less($sum($sum($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$product(d,h)),$product(-1,$product(d,i))),$sum($product(e,f),$product(-1,$product(e,i))))), 0.16/0.40 inference(flattening,[],[f11])). 0.16/0.40 tff(f11,plain,( 0.16/0.40 ~~$less($sum($sum($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$product(d,h)),$product(-1,$product(d,i))),$sum($product(e,f),$product(-1,$product(e,i))))), 0.16/0.40 inference(theory_normalization,[],[f5])). 0.16/0.40 tff(f5,negated_conjecture,( 0.16/0.40 ~$lesseq($sum($product(e,f),$product(-1,$product(e,i))),$sum($sum($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$product(d,h)),$product(-1,$product(d,i))))), 0.16/0.40 inference(negated_conjecture,[status(cth)],[f4])). 0.16/0.40 tff(f4,conjecture,( 0.16/0.40 $lesseq($sum($product(e,f),$product(-1,$product(e,i))),$sum($sum($sum($sum(b,$product(c,g)),$product(-1,$product(c,h))),$product(d,h)),$product(-1,$product(d,i))))), 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.16/0.40 tff(f27,plain,( 0.16/0.40 spl0_1), 0.16/0.40 inference(avatar_split_clause,[],[f19,f24])). 0.16/0.40 tff(f24,definition,( 0.16/0.40 spl0_1 <=> $less(i,h)), 0.16/0.40 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])). 0.16/0.40 tff(f19,plain,( 0.16/0.40 $less(i,h)), 0.16/0.40 inference(cnf_transformation,[],[f1])). 0.16/0.40 tff(f1,axiom,( 0.16/0.40 $less(i,h)), 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.16/0.40 % SZS output end Proof for theBenchmark 0.16/0.40 % (11517)------------------------------ 0.16/0.40 % (11517)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.16/0.40 % (11517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.16/0.40 % (11517)Termination reason: Refutation 0.16/0.40 0.16/0.40 % (11517)Time elapsed: 0.016 s 0.16/0.40 % (11517)Peak memory usage: 29 MB 0.16/0.40 % (11517)Instructions burned: 16 (million) 0.16/0.40 % (11517)------------------------------ 0.16/0.40 % (11517)------------------------------ 0.16/0.40 % (11510)Success in time 0.088 s 0.16/0.40 EOF