0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % 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 : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 02:36:34 EDT 2025 0.12/0.33 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.35 Running higher-order theorem proving 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.NjtJaZpXaA/E---3.1_11485.p -m 16384 -t 240 0.12/0.37 % (11712)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_11485 for (2399ds/27Mi) 0.12/0.37 % (11712)Refutation not found, incomplete strategy 0.12/0.37 % (11712)------------------------------ 0.12/0.37 % (11712)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.37 % (11712)Termination reason: Refutation not found, incomplete strategy 0.12/0.37 0.12/0.37 0.12/0.37 % (11712)Memory used [KB]: 5500 0.12/0.37 % (11712)Time elapsed: 0.003 s 0.12/0.37 % (11712)Instructions burned: 1 (million) 0.12/0.37 % (11712)------------------------------ 0.12/0.37 % (11712)------------------------------ 0.12/0.38 % (11710)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_11485 for (2399ds/183Mi) 0.12/0.38 % (11711)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on E---3.1_11485 for (2399ds/4Mi) 0.12/0.38 % (11715)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_11485 for (2399ds/275Mi) 0.12/0.38 % (11713)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_11485 for (2399ds/2Mi) 0.12/0.38 % (11716)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_11485 for (2399ds/18Mi) 0.12/0.38 % (11713)Instruction limit reached! 0.12/0.38 % (11713)------------------------------ 0.12/0.38 % (11713)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.38 % (11713)Termination reason: Unknown 0.12/0.38 % (11713)Termination phase: Saturation 0.12/0.38 0.12/0.38 % (11713)Memory used [KB]: 5500 0.12/0.38 % (11713)Time elapsed: 0.004 s 0.12/0.38 % (11713)Instructions burned: 2 (million) 0.12/0.38 % (11713)------------------------------ 0.12/0.38 % (11713)------------------------------ 0.12/0.38 % (11711)Instruction limit reached! 0.12/0.38 % (11711)------------------------------ 0.12/0.38 % (11711)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.38 % (11711)Termination reason: Unknown 0.12/0.38 % (11711)Termination phase: Saturation 0.12/0.38 0.12/0.38 % (11711)Memory used [KB]: 5500 0.12/0.38 % (11711)Time elapsed: 0.005 s 0.12/0.38 % (11711)Instructions burned: 4 (million) 0.12/0.38 % (11711)------------------------------ 0.12/0.38 % (11711)------------------------------ 0.12/0.38 % (11714)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_11485 for (2399ds/2Mi) 0.20/0.38 % (11715)Refutation not found, incomplete strategy 0.20/0.38 % (11715)------------------------------ 0.20/0.38 % (11715)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.38 % (11715)Termination reason: Refutation not found, incomplete strategy 0.20/0.38 0.20/0.38 0.20/0.38 % (11715)Memory used [KB]: 5500 0.20/0.38 % (11715)Time elapsed: 0.007 s 0.20/0.38 % (11715)Instructions burned: 5 (million) 0.20/0.38 % (11714)Instruction limit reached! 0.20/0.38 % (11714)------------------------------ 0.20/0.38 % (11714)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.38 % (11715)------------------------------ 0.20/0.38 % (11715)------------------------------ 0.20/0.38 % (11714)Termination reason: Unknown 0.20/0.38 % (11714)Termination phase: Saturation 0.20/0.38 0.20/0.38 % (11714)Memory used [KB]: 5500 0.20/0.38 % (11714)Time elapsed: 0.004 s 0.20/0.38 % (11714)Instructions burned: 2 (million) 0.20/0.38 % (11714)------------------------------ 0.20/0.38 % (11714)------------------------------ 0.20/0.38 % (11723)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on E---3.1_11485 for (2399ds/3Mi) 0.20/0.38 % (11723)Instruction limit reached! 0.20/0.38 % (11723)------------------------------ 0.20/0.38 % (11723)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.38 % (11723)Termination reason: Unknown 0.20/0.38 % (11723)Termination phase: Saturation 0.20/0.38 0.20/0.38 % (11723)Memory used [KB]: 5500 0.20/0.38 % (11723)Time elapsed: 0.003 s 0.20/0.38 % (11723)Instructions burned: 3 (million) 0.20/0.38 % (11723)------------------------------ 0.20/0.38 % (11723)------------------------------ 0.20/0.39 % (11716)Instruction limit reached! 0.20/0.39 % (11716)------------------------------ 0.20/0.39 % (11716)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.39 % (11716)Termination reason: Unknown 0.20/0.39 % (11716)Termination phase: Saturation 0.20/0.39 0.20/0.39 % (11716)Memory used [KB]: 5628 0.20/0.39 % (11716)Time elapsed: 0.013 s 0.20/0.39 % (11716)Instructions burned: 18 (million) 0.20/0.39 % (11716)------------------------------ 0.20/0.39 % (11716)------------------------------ 0.20/0.39 % (11738)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_11485 for (2399ds/7Mi) 0.20/0.40 % (11733)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on E---3.1_11485 for (2399ds/15Mi) 0.20/0.40 % (11738)Instruction limit reached! 0.20/0.40 % (11738)------------------------------ 0.20/0.40 % (11738)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.40 % (11738)Termination reason: Unknown 0.20/0.40 % (11738)Termination phase: Saturation 0.20/0.40 0.20/0.40 % (11738)Memory used [KB]: 1023 0.20/0.40 % (11738)Time elapsed: 0.005 s 0.20/0.40 % (11738)Instructions burned: 9 (million) 0.20/0.40 % (11738)------------------------------ 0.20/0.40 % (11738)------------------------------ 0.20/0.40 % (11732)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on E---3.1_11485 for (2399ds/37Mi) 0.20/0.40 % (11736)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on E---3.1_11485 for (2399ds/3Mi) 0.20/0.40 % (11732)First to succeed. 0.20/0.40 % (11736)Instruction limit reached! 0.20/0.40 % (11736)------------------------------ 0.20/0.40 % (11736)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.40 % (11736)Termination reason: Unknown 0.20/0.40 % (11736)Termination phase: Saturation 0.20/0.40 0.20/0.40 % (11736)Memory used [KB]: 5500 0.20/0.40 % (11736)Time elapsed: 0.005 s 0.20/0.40 % (11736)Instructions burned: 3 (million) 0.20/0.40 % (11736)------------------------------ 0.20/0.40 % (11736)------------------------------ 0.20/0.40 % (11732)Refutation found. Thanks to Tanya! 0.20/0.40 % SZS status Theorem for E---3.1_11485 0.20/0.40 % SZS output start Proof for E---3.1_11485 0.20/0.40 thf(func_def_0, type, cB: $i > $i > $o). 0.20/0.40 thf(func_def_1, type, cA: $i > $o). 0.20/0.40 thf(func_def_15, type, ph1: !>[X0: $tType]:(X0)). 0.20/0.40 thf(func_def_16, type, sK2: ($i > $i > $o) > $i). 0.20/0.40 thf(f20,plain,( 0.20/0.40 $false), 0.20/0.40 inference(equality_resolution,[],[f12])). 0.20/0.40 thf(f12,plain,( 0.20/0.40 ( ! [X1 : $i > $i > $o] : (((X1 @ (sK2 @ X1) @ c0) != ((cB @ (sK2 @ X1) @ (sK2 @ X1)) | (cA @ (sK2 @ X1))))) )), 0.20/0.40 inference(binary_proxy_clausification,[],[f11])). 0.20/0.40 thf(f11,plain,( 0.20/0.40 ( ! [X1 : $i > $i > $o] : (((((cB @ (sK2 @ X1) @ (sK2 @ X1)) | (cA @ (sK2 @ X1))) = (X1 @ (sK2 @ X1) @ c0)) = $false)) )), 0.20/0.40 inference(beta_eta_normalization,[],[f10])). 0.20/0.40 thf(f10,plain,( 0.20/0.40 ( ! [X1 : $i > $i > $o] : ((((^[Y0 : $i]: (((cB @ Y0 @ Y0) | (cA @ Y0)) = (X1 @ Y0 @ c0))) @ (sK2 @ X1)) = $false)) )), 0.20/0.40 inference(sigma_clausification,[],[f9])). 0.20/0.40 thf(f9,plain,( 0.20/0.40 ( ! [X1 : $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (((cB @ Y0 @ Y0) | (cA @ Y0)) = (X1 @ Y0 @ c0)))) = $false)) )), 0.20/0.40 inference(beta_eta_normalization,[],[f8])). 0.20/0.40 thf(f8,plain,( 0.20/0.40 ( ! [X1 : $i > $i > $o] : (($false = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (((cB @ Y1 @ Y1) | (cA @ Y1)) = (Y0 @ Y1 @ c0))))) @ X1))) )), 0.20/0.40 inference(pi_clausification,[],[f7])). 0.20/0.40 thf(f7,plain,( 0.20/0.40 ((?? @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (((cB @ Y1 @ Y1) | (cA @ Y1)) = (Y0 @ Y1 @ c0)))))) = $false)), 0.20/0.40 inference(not_proxy_clausification,[],[f6])). 0.20/0.40 thf(f6,plain,( 0.20/0.40 ((~ (?? @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (((cB @ Y1 @ Y1) | (cA @ Y1)) = (Y0 @ Y1 @ c0))))))) = $true)), 0.20/0.40 inference(cnf_transformation,[],[f5])). 0.20/0.40 thf(f5,plain,( 0.20/0.40 ((~ (?? @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (((cB @ Y1 @ Y1) | (cA @ Y1)) = (Y0 @ Y1 @ c0))))))) = $true)), 0.20/0.40 inference(fool_elimination,[],[f4])). 0.20/0.40 thf(f4,plain,( 0.20/0.40 ~? [X0 : $i > $i > $o] : ! [X1] : (((cA @ X1) | (cB @ X1 @ X1)) <=> (X0 @ X1 @ c0))), 0.20/0.40 inference(rectify,[],[f2])). 0.20/0.40 thf(f2,negated_conjecture,( 0.20/0.40 ~? [X0 : $i > $i > $o] : ! [X1] : (((cA @ X1) | (cB @ X1 @ X1)) <=> (X0 @ X1 @ c0))), 0.20/0.40 inference(negated_conjecture,[],[f1])). 0.20/0.40 thf(f1,conjecture,( 0.20/0.40 ? [X0 : $i > $i > $o] : ! [X1] : (((cA @ X1) | (cB @ X1 @ X1)) <=> (X0 @ X1 @ c0))), 0.20/0.40 file('/export/starexec/sandbox2/tmp/tmp.NjtJaZpXaA/E---3.1_11485.p',cSV9)). 0.20/0.40 % SZS output end Proof for E---3.1_11485 0.20/0.40 % (11732)------------------------------ 0.20/0.40 % (11732)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.40 % (11732)Termination reason: Refutation 0.20/0.40 0.20/0.40 % (11732)Memory used [KB]: 5500 0.20/0.40 % (11732)Time elapsed: 0.005 s 0.20/0.40 % (11732)Instructions burned: 2 (million) 0.20/0.40 % (11732)------------------------------ 0.20/0.40 % (11732)------------------------------ 0.20/0.40 % (11707)Success in time 0.047 s 0.20/0.40 EOF