0.06/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command    : run_vampire %s %d THM
0.11/0.34	% Computer : n019.cluster.edu
0.11/0.34	% Model    : x86_64 x86_64
0.11/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.34	% Memory   : 8042.1875MB
0.11/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.34	% CPULimit   : 1920
0.11/0.34	% WCLimit    : 240
0.11/0.34	% DateTime   : Wed Jul 30 05:50:04 EDT 2025
0.11/0.34	% CPUTime    : 
0.11/0.36	This is a THF_ problem
0.11/0.36	Running higher-order theorem proving
0.19/0.39	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.zUrWe7zDXn/E---3.1_5391.p -m 16384 -t 240
0.19/0.42	% (5499)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_5391 for (2399ds/183Mi)
0.19/0.42	% (5501)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_5391 for (2399ds/27Mi)
0.19/0.42	% (5505)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_5391 for (2399ds/18Mi)
0.19/0.42	% (5504)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_5391 for (2399ds/275Mi)
0.19/0.42	% (5503)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_5391 for (2399ds/2Mi)
0.19/0.42	% (5502)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_5391 for (2399ds/2Mi)
0.19/0.42	% (5500)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_5391 for (2399ds/4Mi)
0.19/0.42	% (5502)Instruction limit reached!
0.19/0.42	% (5502)------------------------------
0.19/0.42	% (5502)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.42	% (5502)Termination reason: Unknown
0.19/0.42	% (5502)Termination phase: shuffling
0.19/0.42	
0.19/0.42	% (5503)Instruction limit reached!
0.19/0.42	% (5503)------------------------------
0.19/0.42	% (5503)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.42	% (5502)Memory used [KB]: 1279
0.19/0.42	% (5502)Time elapsed: 0.003 s
0.19/0.42	% (5502)Instructions burned: 2 (million)
0.19/0.42	% (5502)------------------------------
0.19/0.42	% (5502)------------------------------
0.19/0.42	% (5503)Termination reason: Unknown
0.19/0.42	% (5503)Termination phase: shuffling
0.19/0.42	
0.19/0.42	% (5503)Memory used [KB]: 1279
0.19/0.42	% (5503)Time elapsed: 0.003 s
0.19/0.42	% (5503)Instructions burned: 3 (million)
0.19/0.42	% (5503)------------------------------
0.19/0.42	% (5503)------------------------------
0.19/0.42	% (5500)Instruction limit reached!
0.19/0.42	% (5500)------------------------------
0.19/0.42	% (5500)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.42	% (5500)Termination reason: Unknown
0.19/0.42	% (5500)Termination phase: shuffling
0.19/0.42	
0.19/0.42	% (5500)Memory used [KB]: 1279
0.19/0.42	% (5500)Time elapsed: 0.004 s
0.19/0.42	% (5500)Instructions burned: 4 (million)
0.19/0.42	% (5500)------------------------------
0.19/0.42	% (5500)------------------------------
0.19/0.43	% (5505)Instruction limit reached!
0.19/0.43	% (5505)------------------------------
0.19/0.43	% (5505)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.43	% (5505)Termination reason: Unknown
0.19/0.43	% (5505)Termination phase: Property scanning
0.19/0.43	
0.19/0.43	% (5505)Memory used [KB]: 1663
0.19/0.43	% (5505)Time elapsed: 0.010 s
0.19/0.43	% (5505)Instructions burned: 18 (million)
0.19/0.43	% (5505)------------------------------
0.19/0.43	% (5505)------------------------------
0.19/0.43	% (5504)Refutation not found, incomplete strategy
0.19/0.43	% (5504)------------------------------
0.19/0.43	% (5504)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.43	% (5504)Termination reason: Refutation not found, incomplete strategy
0.19/0.43	
0.19/0.43	
0.19/0.43	% (5504)Memory used [KB]: 6140
0.19/0.43	% (5504)Time elapsed: 0.013 s
0.19/0.43	% (5504)Instructions burned: 24 (million)
0.19/0.43	% (5504)------------------------------
0.19/0.43	% (5504)------------------------------
0.19/0.43	% (5501)Instruction limit reached!
0.19/0.43	% (5501)------------------------------
0.19/0.43	% (5501)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.43	% (5501)Termination reason: Unknown
0.19/0.43	% (5501)Termination phase: Property scanning
0.19/0.43	
0.19/0.43	% (5501)Memory used [KB]: 1791
0.19/0.43	% (5501)Time elapsed: 0.014 s
0.19/0.43	% (5501)Instructions burned: 28 (million)
0.19/0.43	% (5501)------------------------------
0.19/0.43	% (5501)------------------------------
0.19/0.43	% (5507)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_5391 for (2399ds/37Mi)
0.19/0.43	% (5506)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_5391 for (2399ds/3Mi)
0.19/0.43	% (5506)Instruction limit reached!
0.19/0.43	% (5506)------------------------------
0.19/0.43	% (5506)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.43	% (5506)Termination reason: Unknown
0.19/0.43	% (5506)Termination phase: shuffling
0.19/0.43	
0.19/0.43	% (5506)Memory used [KB]: 1279
0.19/0.43	% (5506)Time elapsed: 0.003 s
0.19/0.43	% (5506)Instructions burned: 4 (million)
0.19/0.43	% (5506)------------------------------
0.19/0.43	% (5506)------------------------------
0.19/0.44	% (5499)First to succeed.
0.19/0.44	% (5508)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_5391 for (2399ds/15Mi)
0.19/0.44	% (5499)Refutation found. Thanks to Tanya!
0.19/0.44	% SZS status Theorem for E---3.1_5391
0.19/0.44	% SZS output start Proof for E---3.1_5391
0.19/0.44	thf(type_def_5, type, term: $tType).
0.19/0.44	thf(type_def_7, type, subst: $tType).
0.19/0.44	thf(func_def_0, type, term: $tType).
0.19/0.44	thf(func_def_1, type, subst: $tType).
0.19/0.44	thf(func_def_2, type, one: term).
0.19/0.44	thf(func_def_3, type, ap: term > term > term).
0.19/0.44	thf(func_def_4, type, lam: term > term).
0.19/0.44	thf(func_def_5, type, sub: term > subst > term).
0.19/0.44	thf(func_def_6, type, id: subst).
0.19/0.44	thf(func_def_7, type, sh: subst).
0.19/0.44	thf(func_def_8, type, push: term > subst > subst).
0.19/0.44	thf(func_def_9, type, comp: subst > subst > subst).
0.19/0.44	thf(func_def_10, type, var: term > $o).
0.19/0.44	thf(func_def_18, type, hoasap: subst > term > subst > term > term).
0.19/0.44	thf(func_def_73, type, hoaslam: subst > (subst > term > term) > term).
0.19/0.44	thf(func_def_86, type, hoasinduction_p_and_p_prime: (subst > term > subst > $o) > (term > $o) > $o).
0.19/0.44	thf(func_def_107, type, hoasvar: subst > term > subst > $o).
0.19/0.44	thf(func_def_121, type, pushprop_p_and_p_prime: term > subst > (term > $o) > (term > $o) > $o).
0.19/0.44	thf(func_def_142, type, sK1: term).
0.19/0.44	thf(func_def_143, type, ph2: !>[X0: $tType]:(X0)).
0.19/0.44	thf(f527,plain,(
0.19/0.44	  $false),
0.19/0.44	  inference(equality_resolution,[],[f526])).
0.19/0.44	thf(f526,plain,(
0.19/0.44	  ( ! [X1 : subst > term > term] : (((X1 @ sh @ one) != (sub @ sK1 @ (push @ one @ sh)))) )),
0.19/0.44	  inference(equality_proxy_clausification,[],[f525])).
0.19/0.44	thf(f525,plain,(
0.19/0.44	  ( ! [X1 : subst > term > term] : (($false = ((sub @ sK1 @ (push @ one @ sh)) = (X1 @ sh @ one)))) )),
0.19/0.44	  inference(beta_eta_normalization,[],[f524])).
0.19/0.44	thf(f524,plain,(
0.19/0.44	  ( ! [X1 : subst > term > term] : (($false = ((^[Y0 : subst > term > term]: ((sub @ sK1 @ (push @ one @ sh)) = (Y0 @ sh @ one))) @ X1))) )),
0.19/0.44	  inference(pi_clausification,[],[f523])).
0.19/0.44	thf(f523,plain,(
0.19/0.44	  ((?? @ (subst > term > term) @ (^[Y0 : subst > term > term]: ((sub @ sK1 @ (push @ one @ sh)) = (Y0 @ sh @ one)))) = $false)),
0.19/0.44	  inference(beta_eta_normalization,[],[f522])).
0.19/0.44	thf(f522,plain,(
0.19/0.44	  ($false = ((^[Y0 : term]: (?? @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((sub @ Y0 @ (push @ one @ sh)) = (Y1 @ sh @ one))))) @ sK1))),
0.19/0.44	  inference(sigma_clausification,[],[f521])).
0.19/0.44	thf(f521,plain,(
0.19/0.44	  ($true != (!! @ term @ (^[Y0 : term]: (?? @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((sub @ Y0 @ (push @ one @ sh)) = (Y1 @ sh @ one)))))))),
0.19/0.44	  inference(definition_unfolding,[],[f408,f482])).
0.19/0.44	thf(f482,plain,(
0.19/0.44	  (hoasinduction_lem3b_lthm = (!! @ term @ (^[Y0 : term]: (?? @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((sub @ Y0 @ (push @ one @ sh)) = (Y1 @ sh @ one)))))))),
0.19/0.44	  inference(definition_unfolding,[],[f429,f416])).
0.19/0.44	thf(f416,plain,(
0.19/0.44	  (hoasinduction_lem3b = (!! @ term @ (^[Y0 : term]: (?? @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((sub @ Y0 @ (push @ one @ sh)) = (Y1 @ sh @ one)))))))),
0.19/0.44	  inference(cnf_transformation,[],[f173])).
0.19/0.44	thf(f173,plain,(
0.19/0.44	  (hoasinduction_lem3b = (!! @ term @ (^[Y0 : term]: (?? @ (subst > term > term) @ (^[Y1 : subst > term > term]: ((sub @ Y0 @ (push @ one @ sh)) = (Y1 @ sh @ one)))))))),
0.19/0.44	  inference(fool_elimination,[],[f172])).
0.19/0.44	thf(f172,plain,(
0.19/0.44	  (hoasinduction_lem3b = ! [X0 : term] : ? [X1 : subst > term > term] : ((sub @ X0 @ (push @ one @ sh)) = (X1 @ sh @ one)))),
0.19/0.44	  inference(rectify,[],[f105])).
0.19/0.44	thf(f105,axiom,(
0.19/0.44	  (hoasinduction_lem3b = ! [X1 : term] : ? [X10 : subst > term > term] : ((X10 @ sh @ one) = (sub @ X1 @ (push @ one @ sh))))),
0.19/0.44	  file('/export/starexec/sandbox2/tmp/tmp.zUrWe7zDXn/E---3.1_5391.p',hoasinduction_lem3b)).
0.19/0.44	thf(f429,plain,(
0.19/0.44	  (hoasinduction_lem3b = hoasinduction_lem3b_lthm)),
0.19/0.44	  inference(cnf_transformation,[],[f107])).
0.19/0.44	thf(f107,axiom,(
0.19/0.44	  (hoasinduction_lem3b = hoasinduction_lem3b_lthm)),
0.19/0.44	  file('/export/starexec/sandbox2/tmp/tmp.zUrWe7zDXn/E---3.1_5391.p',hoasinduction_lem3b_lthm)).
0.19/0.44	thf(f408,plain,(
0.19/0.44	  (hoasinduction_lem3b_lthm != $true)),
0.19/0.44	  inference(cnf_transformation,[],[f329])).
0.19/0.44	thf(f329,plain,(
0.19/0.44	  (hoasinduction_lem3b_lthm != $true)),
0.19/0.44	  inference(flattening,[],[f196])).
0.19/0.44	thf(f196,plain,(
0.19/0.44	  ~(hoasinduction_lem3b_lthm = $true)),
0.19/0.44	  inference(fool_elimination,[],[f195])).
0.19/0.44	thf(f195,plain,(
0.19/0.44	  ~hoasinduction_lem3b_lthm),
0.19/0.44	  inference(rectify,[],[f115])).
0.19/0.44	thf(f115,negated_conjecture,(
0.19/0.44	  ~hoasinduction_lem3b_lthm),
0.19/0.44	  inference(negated_conjecture,[],[f114])).
0.19/0.44	thf(f114,conjecture,(
0.19/0.44	  hoasinduction_lem3b_lthm),
0.19/0.44	  file('/export/starexec/sandbox2/tmp/tmp.zUrWe7zDXn/E---3.1_5391.p',thm)).
0.19/0.44	% SZS output end Proof for E---3.1_5391
0.19/0.44	% (5499)------------------------------
0.19/0.44	% (5499)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.44	% (5499)Termination reason: Refutation
0.19/0.44	
0.19/0.44	% (5499)Memory used [KB]: 6524
0.19/0.44	% (5499)Time elapsed: 0.024 s
0.19/0.44	% (5499)Instructions burned: 78 (million)
0.19/0.44	% (5499)------------------------------
0.19/0.44	% (5499)------------------------------
0.19/0.44	% (5498)Success in time 0.043 s
0.19/0.44	EOF