0.11/0.16 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.12/0.37 % Computer : n024.cluster.edu 0.12/0.37 % Model : x86_64 x86_64 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.37 % Memory : 8042.1875MB 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.37 % CPULimit : 300 0.12/0.37 % WCLimit : 300 0.12/0.37 % DateTime : Fri Jul 5 04:22:09 EDT 2024 0.12/0.37 % CPUTime : 0.12/0.39 This is a THF_ problem 0.12/0.39 Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p 0.12/0.41 % (24644)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi) 0.12/0.41 % (24640)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.12/0.41 % (24642)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.12/0.41 % (24641)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi) 0.12/0.41 % (24643)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on theBenchmark for (2999ds/385Mi) 0.12/0.41 % (24646)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi) 0.12/0.41 % (24645)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on theBenchmark for (2999ds/74Mi) 0.12/0.41 % (24647)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on theBenchmark for (2999ds/915Mi) 0.12/0.41 % (24646)Instruction limit reached! 0.12/0.41 % (24646)------------------------------ 0.12/0.41 % (24646)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.12/0.41 % (24646)Termination reason: Unknown 0.12/0.41 % (24646)Termination phase: Saturation 0.12/0.41 0.12/0.41 % (24646)Memory used [KB]: 5500 0.12/0.41 % (24646)Time elapsed: 0.005 s 0.12/0.41 % (24646)Instructions burned: 4 (million) 0.12/0.41 % (24646)------------------------------ 0.12/0.41 % (24646)------------------------------ 0.12/0.42 % (24643)First to succeed. 0.12/0.42 % (24647)Also succeeded, but the first one will report. 0.12/0.42 % (24643)Refutation found. Thanks to Tanya! 0.12/0.42 % SZS status Theorem for theBenchmark 0.12/0.42 % SZS output start Proof for theBenchmark 0.12/0.42 thf(func_def_1, type, factorial_plus_one: $i > $i). 0.12/0.42 thf(func_def_2, type, less: $i > $i > $o). 0.12/0.42 thf(func_def_3, type, prime: $i > $o). 0.12/0.42 thf(func_def_4, type, prime_divisor: $i > $i). 0.12/0.42 thf(func_def_5, type, divides: $i > $i > $o). 0.12/0.42 thf(f43,plain,( 0.12/0.42 $false), 0.12/0.42 inference(subsumption_resolution,[],[f42,f8])). 0.12/0.42 thf(f8,plain,( 0.12/0.42 ( ! [X15 : $i] : (($true = (less @ X15 @ (factorial_plus_one @ X15)))) )), 0.12/0.42 inference(cnf_transformation,[],[f7])). 0.12/0.42 thf(f7,plain,( 0.12/0.42 ! [X0] : ((less @ X0 @ X0) != $true) & ! [X1] : (($true = (prime @ X1)) | ($true = (prime @ (prime_divisor @ X1)))) & ! [X2] : (((divides @ (prime_divisor @ X2) @ X2) = $true) | ($true = (prime @ X2))) & ! [X3,X4] : (($true != (divides @ X3 @ X4)) | ((less @ X4 @ X3) != $true)) & ! [X5,X6,X7] : (((divides @ X6 @ X5) != $true) | ((divides @ X7 @ X6) != $true) | ($true = (divides @ X7 @ X5))) & ! [X8] : ((divides @ X8 @ X8) = $true) & ((prime @ a) = $true) & ! [X9] : (($true = (less @ (prime_divisor @ X9) @ X9)) | ($true = (prime @ X9))) & ! [X10,X11] : (((less @ X11 @ X10) != $true) | ((less @ X10 @ X11) != $true)) & ! [X12,X13] : (($true != (divides @ X12 @ (factorial_plus_one @ X13))) | ($true = (less @ X13 @ X12))) & ! [X14] : (($true = (less @ (factorial_plus_one @ a) @ X14)) | ($true != (less @ a @ X14)) | ($true != (prime @ X14))) & ! [X15] : ($true = (less @ X15 @ (factorial_plus_one @ X15)))), 0.12/0.42 inference(rectify,[],[f6])). 0.12/0.42 thf(f6,plain,( 0.12/0.42 ! [X1] : ($true != (less @ X1 @ X1)) & ! [X7] : (($true = (prime @ X7)) | ($true = (prime @ (prime_divisor @ X7)))) & ! [X0] : (((divides @ (prime_divisor @ X0) @ X0) = $true) | ((prime @ X0) = $true)) & ! [X6,X5] : (((divides @ X6 @ X5) != $true) | ((less @ X5 @ X6) != $true)) & ! [X14,X15,X13] : (((divides @ X15 @ X14) != $true) | ((divides @ X13 @ X15) != $true) | ((divides @ X13 @ X14) = $true)) & ! [X12] : ($true = (divides @ X12 @ X12)) & ((prime @ a) = $true) & ! [X2] : (($true = (less @ (prime_divisor @ X2) @ X2)) | ($true = (prime @ X2))) & ! [X4,X3] : (($true != (less @ X3 @ X4)) | ((less @ X4 @ X3) != $true)) & ! [X11,X10] : (($true != (divides @ X11 @ (factorial_plus_one @ X10))) | ((less @ X10 @ X11) = $true)) & ! [X8] : (((less @ (factorial_plus_one @ a) @ X8) = $true) | ($true != (less @ a @ X8)) | ((prime @ X8) != $true)) & ! [X9] : ((less @ X9 @ (factorial_plus_one @ X9)) = $true)), 0.12/0.42 inference(flattening,[],[f5])). 0.12/0.42 thf(f5,plain,( 0.12/0.42 ~~(((prime @ a) = $true) & ! [X0] : (((divides @ (prime_divisor @ X0) @ X0) = $true) | ((prime @ X0) = $true)) & ! [X1] : ~($true = (less @ X1 @ X1)) & ! [X2] : (($true = (less @ (prime_divisor @ X2) @ X2)) | ($true = (prime @ X2))) & ! [X3,X4] : (~($true = (less @ X3 @ X4)) | ~((less @ X4 @ X3) = $true)) & ! [X5,X6] : (~((less @ X5 @ X6) = $true) | ~((divides @ X6 @ X5) = $true)) & ! [X7] : (($true = (prime @ X7)) | ($true = (prime @ (prime_divisor @ X7)))) & ! [X8] : (~($true = (less @ a @ X8)) | ~((prime @ X8) = $true) | ((less @ (factorial_plus_one @ a) @ X8) = $true)) & ! [X9] : ((less @ X9 @ (factorial_plus_one @ X9)) = $true) & ! [X10,X11] : (~($true = (divides @ X11 @ (factorial_plus_one @ X10))) | ((less @ X10 @ X11) = $true)) & ! [X12] : ($true = (divides @ X12 @ X12)) & ! [X13,X14,X15] : (((divides @ X13 @ X14) = $true) | ~((divides @ X15 @ X14) = $true) | ~((divides @ X13 @ X15) = $true)))), 0.12/0.42 inference(fool_elimination,[],[f4])). 0.12/0.42 thf(f4,plain,( 0.12/0.42 ~~((prime @ a) & ! [X0] : ((prime @ X0) | (divides @ (prime_divisor @ X0) @ X0)) & ! [X1] : ~(less @ X1 @ X1) & ! [X2] : ((less @ (prime_divisor @ X2) @ X2) | (prime @ X2)) & ! [X3,X4] : (~(less @ X3 @ X4) | ~(less @ X4 @ X3)) & ! [X5,X6] : (~(less @ X5 @ X6) | ~(divides @ X6 @ X5)) & ! [X7] : ((prime @ (prime_divisor @ X7)) | (prime @ X7)) & ! [X8] : (~(less @ a @ X8) | ~(prime @ X8) | (less @ (factorial_plus_one @ a) @ X8)) & ! [X9] : (less @ X9 @ (factorial_plus_one @ X9)) & ! [X10,X11] : (~(divides @ X11 @ (factorial_plus_one @ X10)) | (less @ X10 @ X11)) & ! [X12] : (divides @ X12 @ X12) & ! [X13,X14,X15] : ((divides @ X13 @ X14) | ~(divides @ X15 @ X14) | ~(divides @ X13 @ X15)))), 0.12/0.42 inference(rectify,[],[f2])). 0.12/0.42 thf(f2,negated_conjecture,( 0.12/0.42 ~~((prime @ a) & ! [X0] : ((prime @ X0) | (divides @ (prime_divisor @ X0) @ X0)) & ! [X0] : ~(less @ X0 @ X0) & ! [X0] : ((less @ (prime_divisor @ X0) @ X0) | (prime @ X0)) & ! [X1,X0] : (~(less @ X1 @ X0) | ~(less @ X0 @ X1)) & ! [X1,X0] : (~(less @ X1 @ X0) | ~(divides @ X0 @ X1)) & ! [X0] : ((prime @ (prime_divisor @ X0)) | (prime @ X0)) & ! [X0] : (~(less @ a @ X0) | ~(prime @ X0) | (less @ (factorial_plus_one @ a) @ X0)) & ! [X0] : (less @ X0 @ (factorial_plus_one @ X0)) & ! [X1,X0] : (~(divides @ X0 @ (factorial_plus_one @ X1)) | (less @ X1 @ X0)) & ! [X0] : (divides @ X0 @ X0) & ! [X0,X2,X1] : ((divides @ X0 @ X2) | ~(divides @ X1 @ X2) | ~(divides @ X0 @ X1)))), 0.12/0.42 inference(negated_conjecture,[],[f1])). 0.12/0.42 thf(f1,conjecture,( 0.12/0.42 ~((prime @ a) & ! [X0] : ((prime @ X0) | (divides @ (prime_divisor @ X0) @ X0)) & ! [X0] : ~(less @ X0 @ X0) & ! [X0] : ((less @ (prime_divisor @ X0) @ X0) | (prime @ X0)) & ! [X1,X0] : (~(less @ X1 @ X0) | ~(less @ X0 @ X1)) & ! [X1,X0] : (~(less @ X1 @ X0) | ~(divides @ X0 @ X1)) & ! [X0] : ((prime @ (prime_divisor @ X0)) | (prime @ X0)) & ! [X0] : (~(less @ a @ X0) | ~(prime @ X0) | (less @ (factorial_plus_one @ a) @ X0)) & ! [X0] : (less @ X0 @ (factorial_plus_one @ X0)) & ! [X1,X0] : (~(divides @ X0 @ (factorial_plus_one @ X1)) | (less @ X1 @ X0)) & ! [X0] : (divides @ X0 @ X0) & ! [X0,X2,X1] : ((divides @ X0 @ X2) | ~(divides @ X1 @ X2) | ~(divides @ X0 @ X1)))), 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cNUM016_1)). 0.12/0.42 thf(f42,plain,( 0.12/0.42 ($true != (less @ a @ (factorial_plus_one @ a)))), 0.12/0.42 inference(subsumption_resolution,[],[f37,f41])). 0.12/0.42 thf(f41,plain,( 0.12/0.42 ((prime @ (factorial_plus_one @ a)) = $true)), 0.12/0.42 inference(subsumption_resolution,[],[f40,f18])). 0.12/0.42 thf(f18,plain,( 0.12/0.42 ( ! [X1 : $i] : (($true = (prime @ (prime_divisor @ X1))) | ($true = (prime @ X1))) )), 0.12/0.42 inference(cnf_transformation,[],[f7])). 0.12/0.42 thf(f40,plain,( 0.12/0.42 ((prime @ (factorial_plus_one @ a)) = $true) | ((prime @ (prime_divisor @ (factorial_plus_one @ a))) != $true)), 0.12/0.42 inference(subsumption_resolution,[],[f39,f30])). 0.12/0.42 thf(f30,plain,( 0.12/0.42 ( ! [X0 : $i] : (($true = (prime @ (factorial_plus_one @ X0))) | ((less @ X0 @ (prime_divisor @ (factorial_plus_one @ X0))) = $true)) )), 0.12/0.42 inference(trivial_inequality_removal,[],[f29])). 0.12/0.42 thf(f29,plain,( 0.12/0.42 ( ! [X0 : $i] : (($true = (prime @ (factorial_plus_one @ X0))) | ($true != $true) | ((less @ X0 @ (prime_divisor @ (factorial_plus_one @ X0))) = $true)) )), 0.12/0.42 inference(superposition,[],[f10,f17])). 0.12/0.42 thf(f17,plain,( 0.12/0.42 ( ! [X2 : $i] : (((divides @ (prime_divisor @ X2) @ X2) = $true) | ($true = (prime @ X2))) )), 0.12/0.42 inference(cnf_transformation,[],[f7])). 0.12/0.42 thf(f10,plain,( 0.12/0.42 ( ! [X12 : $i,X13 : $i] : (($true != (divides @ X12 @ (factorial_plus_one @ X13))) | ($true = (less @ X13 @ X12))) )), 0.12/0.42 inference(cnf_transformation,[],[f7])). 0.12/0.42 thf(f39,plain,( 0.12/0.42 ($true != (less @ a @ (prime_divisor @ (factorial_plus_one @ a)))) | ((prime @ (factorial_plus_one @ a)) = $true) | ((prime @ (prime_divisor @ (factorial_plus_one @ a))) != $true)), 0.12/0.42 inference(trivial_inequality_removal,[],[f34])). 0.12/0.42 thf(f34,plain,( 0.12/0.42 ($true != $true) | ($true != (less @ a @ (prime_divisor @ (factorial_plus_one @ a)))) | ((prime @ (factorial_plus_one @ a)) = $true) | ((prime @ (prime_divisor @ (factorial_plus_one @ a))) != $true)), 0.12/0.42 inference(superposition,[],[f22,f9])). 0.12/0.42 thf(f9,plain,( 0.12/0.42 ( ! [X14 : $i] : (($true = (less @ (factorial_plus_one @ a) @ X14)) | ($true != (prime @ X14)) | ($true != (less @ a @ X14))) )), 0.12/0.42 inference(cnf_transformation,[],[f7])). 0.12/0.42 thf(f22,plain,( 0.12/0.42 ( ! [X0 : $i] : (($true != (less @ X0 @ (prime_divisor @ X0))) | ((prime @ X0) = $true)) )), 0.12/0.42 inference(trivial_inequality_removal,[],[f21])). 0.12/0.42 thf(f21,plain,( 0.12/0.42 ( ! [X0 : $i] : (($true != $true) | ($true != (less @ X0 @ (prime_divisor @ X0))) | ((prime @ X0) = $true)) )), 0.12/0.42 inference(superposition,[],[f11,f12])). 0.12/0.42 thf(f12,plain,( 0.12/0.42 ( ! [X9 : $i] : (($true = (less @ (prime_divisor @ X9) @ X9)) | ($true = (prime @ X9))) )), 0.12/0.42 inference(cnf_transformation,[],[f7])). 0.12/0.42 thf(f11,plain,( 0.12/0.42 ( ! [X10 : $i,X11 : $i] : (((less @ X11 @ X10) != $true) | ((less @ X10 @ X11) != $true)) )), 0.12/0.42 inference(cnf_transformation,[],[f7])). 0.12/0.42 thf(f37,plain,( 0.12/0.42 ((prime @ (factorial_plus_one @ a)) != $true) | ($true != (less @ a @ (factorial_plus_one @ a)))), 0.12/0.42 inference(trivial_inequality_removal,[],[f33])). 0.12/0.42 thf(f33,plain,( 0.12/0.42 ($true != $true) | ((prime @ (factorial_plus_one @ a)) != $true) | ($true != (less @ a @ (factorial_plus_one @ a)))), 0.12/0.42 inference(superposition,[],[f19,f9])). 0.12/0.42 thf(f19,plain,( 0.12/0.42 ( ! [X0 : $i] : (((less @ X0 @ X0) != $true)) )), 0.12/0.42 inference(cnf_transformation,[],[f7])). 0.12/0.42 % SZS output end Proof for theBenchmark 0.12/0.42 % (24643)------------------------------ 0.12/0.42 % (24643)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.12/0.42 % (24643)Termination reason: Refutation 0.12/0.42 0.12/0.42 % (24643)Memory used [KB]: 5500 0.12/0.42 % (24643)Time elapsed: 0.009 s 0.12/0.42 % (24643)Instructions burned: 8 (million) 0.12/0.42 % (24643)------------------------------ 0.12/0.42 % (24643)------------------------------ 0.12/0.42 % (24639)Success in time 0.008 s 0.12/0.42 % Vampire---4.8 exiting 0.12/0.42 EOF