0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : run_vampire %s %d THM 0.14/0.34 % Computer : n017.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1920 0.14/0.34 % WCLimit : 240 0.14/0.34 % DateTime : Wed Jul 30 08:46:19 EDT 2025 0.14/0.34 % CPUTime : 0.18/0.36 This is a THF_ problem 0.18/0.36 Running higher-order theorem proving 0.18/0.36 Running /export/starexec/sandbox/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.tkAurD4ttW/E---3.1_15289.p -m 16384 -t 240 0.18/0.39 % (15461)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_15289 for (2399ds/4Mi) 0.18/0.39 % (15460)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_15289 for (2399ds/183Mi) 0.18/0.39 % (15462)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_15289 for (2399ds/27Mi) 0.18/0.39 % (15464)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_15289 for (2399ds/2Mi) 0.18/0.39 % (15463)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_15289 for (2399ds/2Mi) 0.18/0.39 % (15465)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_15289 for (2399ds/275Mi) 0.18/0.39 % (15466)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_15289 for (2399ds/18Mi) 0.18/0.39 % (15462)Refutation not found, incomplete strategy 0.18/0.39 % (15462)------------------------------ 0.18/0.39 % (15462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.18/0.39 % (15462)Termination reason: Refutation not found, incomplete strategy 0.18/0.39 0.18/0.39 0.18/0.39 % (15462)Memory used [KB]: 5500 0.18/0.39 % (15462)Time elapsed: 0.003 s 0.18/0.39 % (15462)Instructions burned: 1 (million) 0.18/0.39 % (15462)------------------------------ 0.18/0.39 % (15462)------------------------------ 0.18/0.39 % (15465)Refutation not found, incomplete strategy 0.18/0.39 % (15465)------------------------------ 0.18/0.39 % (15465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.18/0.39 % (15465)Termination reason: Refutation not found, incomplete strategy 0.18/0.39 0.18/0.39 0.18/0.39 % (15465)Memory used [KB]: 5373 0.18/0.39 % (15465)Time elapsed: 0.003 s 0.18/0.39 % (15465)Instructions burned: 1 (million) 0.18/0.39 % (15465)------------------------------ 0.18/0.39 % (15465)------------------------------ 0.18/0.39 % (15461)Instruction limit reached! 0.18/0.39 % (15461)------------------------------ 0.18/0.39 % (15461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.18/0.39 % (15461)Termination reason: Unknown 0.18/0.39 % (15461)Termination phase: Saturation 0.18/0.39 0.18/0.39 % (15461)Memory used [KB]: 5500 0.18/0.39 % (15461)Time elapsed: 0.005 s 0.18/0.39 % (15461)Instructions burned: 4 (million) 0.18/0.39 % (15461)------------------------------ 0.18/0.39 % (15461)------------------------------ 0.18/0.39 % (15463)Instruction limit reached! 0.18/0.39 % (15463)------------------------------ 0.18/0.39 % (15463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.18/0.39 % (15463)Termination reason: Unknown 0.18/0.39 % (15463)Termination phase: Saturation 0.18/0.39 0.18/0.39 % (15463)Memory used [KB]: 5500 0.18/0.39 % (15463)Time elapsed: 0.004 s 0.18/0.39 % (15463)Instructions burned: 2 (million) 0.18/0.39 % (15463)------------------------------ 0.18/0.39 % (15463)------------------------------ 0.18/0.39 % (15464)Instruction limit reached! 0.18/0.39 % (15464)------------------------------ 0.18/0.39 % (15464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.18/0.39 % (15464)Termination reason: Unknown 0.18/0.39 % (15464)Termination phase: Saturation 0.18/0.39 0.18/0.39 % (15464)Memory used [KB]: 5500 0.18/0.39 % (15464)Time elapsed: 0.004 s 0.18/0.39 % (15464)Instructions burned: 2 (million) 0.18/0.39 % (15464)------------------------------ 0.18/0.39 % (15464)------------------------------ 0.18/0.40 % (15466)Instruction limit reached! 0.18/0.40 % (15466)------------------------------ 0.18/0.40 % (15466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.18/0.40 % (15466)Termination reason: Unknown 0.18/0.40 % (15466)Termination phase: Saturation 0.18/0.40 0.18/0.40 % (15466)Memory used [KB]: 5756 0.18/0.40 % (15466)Time elapsed: 0.012 s 0.18/0.40 % (15466)Instructions burned: 18 (million) 0.18/0.40 % (15466)------------------------------ 0.18/0.40 % (15466)------------------------------ 0.18/0.41 % (15476)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_15289 for (2399ds/3Mi) 0.18/0.41 % (15477)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_15289 for (2399ds/37Mi) 0.18/0.41 % (15479)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_15289 for (2399ds/3Mi) 0.18/0.41 % (15480)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on E---3.1_15289 for (2399ds/1041Mi) 0.18/0.41 % (15478)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_15289 for (2399ds/15Mi) 0.18/0.41 % (15478)Refutation not found, incomplete strategy 0.18/0.41 % (15478)------------------------------ 0.18/0.41 % (15478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.18/0.41 % (15478)Termination reason: Refutation not found, incomplete strategy 0.18/0.41 0.18/0.41 0.18/0.41 % (15478)Memory used [KB]: 5500 0.18/0.41 % (15478)Time elapsed: 0.003 s 0.18/0.41 % (15478)Instructions burned: 1 (million) 0.18/0.41 % (15478)------------------------------ 0.18/0.41 % (15478)------------------------------ 0.18/0.41 % (15476)Instruction limit reached! 0.18/0.41 % (15476)------------------------------ 0.18/0.41 % (15476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.18/0.41 % (15476)Termination reason: Unknown 0.18/0.41 % (15476)Termination phase: Saturation 0.18/0.41 0.18/0.41 % (15476)Memory used [KB]: 5500 0.18/0.41 % (15476)Time elapsed: 0.005 s 0.18/0.41 % (15476)Instructions burned: 4 (million) 0.18/0.41 % (15476)------------------------------ 0.18/0.41 % (15476)------------------------------ 0.18/0.41 % (15479)First to succeed. 0.18/0.41 % (15479)Refutation found. Thanks to Tanya! 0.18/0.41 % SZS status Theorem for E---3.1_15289 0.18/0.41 % SZS output start Proof for E---3.1_15289 0.18/0.41 thf(func_def_0, type, f: $i > $i). 0.18/0.41 thf(func_def_4, type, sK0: ($i > $i) > $i). 0.18/0.41 thf(func_def_6, type, inv_f_2: $i > $i). 0.18/0.41 thf(func_def_7, type, ph3: !>[X0: $tType]:(X0)). 0.18/0.41 thf(f28,plain,( 0.18/0.41 $false), 0.18/0.41 inference(equality_resolution,[status(thm)],[f25])). 0.18/0.41 thf(f25,plain,( 0.18/0.41 ( ! [X0 : $i] : (((sK0 @ inv_f_2) != X0)) )), 0.18/0.41 inference(beta_eta_normalization,[status(thm)],[f24])). 0.18/0.41 thf(f24,plain,( 0.18/0.41 ( ! [X0 : $i] : (((sK0 @ (^[Y0 : $i]: (inv_f_2 @ ((^[Y1 : $i]: (Y1)) @ Y0)))) != X0)) )), 0.18/0.41 inference(duplicate_literal_removal,[status(thm)],[f20])). 0.18/0.41 thf(f20,plain,( 0.18/0.41 ( ! [X0 : $i] : (((sK0 @ (^[Y0 : $i]: (inv_f_2 @ ((^[Y1 : $i]: (Y1)) @ Y0)))) != X0) | ((sK0 @ (^[Y0 : $i]: (inv_f_2 @ ((^[Y1 : $i]: (Y1)) @ Y0)))) != X0)) )), 0.18/0.41 inference(equality_resolution,[status(thm)],[f17])). 0.18/0.41 thf(f17,plain,( 0.18/0.41 ( ! [X0 : $i > $i,X1 : $i] : (((f @ X1) != (X0 @ (f @ (sK0 @ (^[Y0 : $i]: (inv_f_2 @ (X0 @ Y0))))))) | ((sK0 @ (^[Y0 : $i]: (inv_f_2 @ (X0 @ Y0)))) != X1)) )), 0.18/0.41 inference(constrained_superposition,[status(thm)],[f13,f15])). 0.18/0.41 thf(f15,plain,( 0.18/0.41 ( ! [X0 : $i] : (((inv_f_2 @ (f @ X0)) = X0)) )), 0.18/0.41 inference(injectivity,[status(thm)],[f14])). 0.18/0.41 thf(f14,plain,( 0.18/0.41 ( ! [X0 : $i,X1 : $i] : (((f @ X0) != (f @ X1)) | (X0 = X1)) )), 0.18/0.41 inference(cnf_transformation,[status(thm)],[f12])). 0.18/0.41 thf(f12,plain,( 0.18/0.41 ! [X0 : $i,X1 : $i] : ((X0 = X1) | ((f @ X0) != (f @ X1)))), 0.18/0.41 inference(rectify,[status(thm)],[f8])). 0.18/0.41 thf(f8,plain,( 0.18/0.41 ! [X1 : $i,X0 : $i] : ((X0 = X1) | ((f @ X0) != (f @ X1)))), 0.18/0.41 inference(ennf_transformation,[status(thm)],[f5])). 0.18/0.41 thf(f5,plain,( 0.18/0.41 ! [X1 : $i,X0 : $i] : (((f @ X0) = (f @ X1)) => (X0 = X1))), 0.18/0.41 inference(fool_elimination,[status(thm)],[f1])). 0.18/0.41 thf(f1,axiom,( 0.18/0.41 ! [X0 : $i,X1 : $i] : (((f @ X0) = (f @ X1)) => (X0 = X1))), 0.18/0.41 file('/export/starexec/sandbox/tmp/tmp.tkAurD4ttW/E---3.1_15289.p',finj)). 0.18/0.41 thf(f13,plain,( 0.18/0.41 ( ! [X0 : $i > $i] : (((X0 @ (f @ (sK0 @ X0))) != (sK0 @ X0))) )), 0.18/0.41 inference(cnf_transformation,[status(thm)],[f11])). 0.18/0.41 thf(f11,plain,( 0.18/0.41 ! [X0 : $i > $i] : ((X0 @ (f @ (sK0 @ X0))) != (sK0 @ X0))), 0.18/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10])). 0.18/0.41 thf(f10,plain,( 0.18/0.41 ! [X0 : $i > $i] : (? [X1 : $i] : ((X0 @ (f @ X1)) != X1) => ((X0 @ (f @ (sK0 @ X0))) != (sK0 @ X0)))), 0.18/0.41 introduced(definition,[],[choice_axiom])). 0.18/0.41 thf(f9,plain,( 0.18/0.41 ! [X0 : $i > $i] : ? [X1 : $i] : ((X0 @ (f @ X1)) != X1)), 0.18/0.41 inference(ennf_transformation,[status(thm)],[f7])). 0.18/0.41 thf(f7,plain,( 0.18/0.41 ~? [X0 : $i > $i] : ! [X1 : $i] : ((X0 @ (f @ X1)) = X1)), 0.18/0.41 inference(fool_elimination,[status(thm)],[f6])). 0.18/0.41 thf(f6,plain,( 0.18/0.41 ~? [X0 : $i > $i] : ! [X1 : $i] : ((X0 @ (f @ X1)) = X1)), 0.18/0.41 inference(rectify,[status(thm)],[f3])). 0.18/0.41 thf(f3,negated_conjecture,( 0.18/0.41 ~? [X2 : $i > $i] : ! [X0 : $i] : ((X2 @ (f @ X0)) = X0)), 0.18/0.41 inference(negated_conjecture,[status(cth)],[f2])). 0.18/0.41 thf(f2,conjecture,( 0.18/0.41 ? [X2 : $i > $i] : ! [X0 : $i] : ((X2 @ (f @ X0)) = X0)), 0.18/0.41 file('/export/starexec/sandbox/tmp/tmp.tkAurD4ttW/E---3.1_15289.p',invexists)). 0.18/0.41 % SZS output end Proof for E---3.1_15289 0.18/0.41 % (15479)------------------------------ 0.18/0.41 % (15479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.18/0.41 % (15479)Termination reason: Refutation 0.18/0.41 0.18/0.41 % (15479)Memory used [KB]: 5500 0.18/0.41 % (15479)Time elapsed: 0.005 s 0.18/0.41 % (15479)Instructions burned: 2 (million) 0.18/0.41 % (15479)------------------------------ 0.18/0.41 % (15479)------------------------------ 0.18/0.41 % (15459)Success in time 0.039 s 0.18/0.41 EOF