0.04/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.12	% Command    : run_vampire %s %d THM
0.12/0.33	% Computer   : n031.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 02:32:19 EDT 2025
0.12/0.33	% CPUTime    : 
0.20/0.35	This is a THF_ problem
0.20/0.35	Running higher-order theorem proving
0.20/0.36	Running /export/starexec/sandbox2/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/sandbox2/tmp/tmp.BIAJefzQo4/E---3.1_21362.p -m 16384 -t 240
0.20/0.38	% (21546)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_21362 for (2399ds/2Mi)
0.20/0.38	% (21546)Instruction limit reached!
0.20/0.38	% (21546)------------------------------
0.20/0.38	% (21546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.20/0.38	% (21546)Termination reason: Unknown
0.20/0.38	% (21546)Termination phase: Saturation
0.20/0.38	
0.20/0.38	% (21546)Memory used [KB]: 5500
0.20/0.38	% (21546)Time elapsed: 0.003 s
0.20/0.38	% (21546)Instructions burned: 3 (million)
0.20/0.38	% (21546)------------------------------
0.20/0.38	% (21546)------------------------------
0.20/0.38	% (21543)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_21362 for (2399ds/183Mi)
0.20/0.38	% (21544)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_21362 for (2399ds/4Mi)
0.20/0.38	% (21545)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_21362 for (2399ds/27Mi)
0.20/0.39	% (21548)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_21362 for (2399ds/275Mi)
0.20/0.39	% (21549)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_21362 for (2399ds/18Mi)
0.20/0.39	% (21547)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_21362 for (2399ds/2Mi)
0.20/0.39	% (21547)Instruction limit reached!
0.20/0.39	% (21547)------------------------------
0.20/0.39	% (21547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.20/0.39	% (21547)Termination reason: Unknown
0.20/0.39	% (21547)Termination phase: Property scanning
0.20/0.39	
0.20/0.39	% (21547)Memory used [KB]: 1023
0.20/0.39	% (21547)Time elapsed: 0.003 s
0.20/0.39	% (21547)Instructions burned: 3 (million)
0.20/0.39	% (21547)------------------------------
0.20/0.39	% (21547)------------------------------
0.20/0.39	% (21544)Instruction limit reached!
0.20/0.39	% (21544)------------------------------
0.20/0.39	% (21544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.20/0.39	% (21544)Termination reason: Unknown
0.20/0.39	% (21544)Termination phase: Saturation
0.20/0.39	
0.20/0.39	% (21544)Memory used [KB]: 5500
0.20/0.39	% (21544)Time elapsed: 0.005 s
0.20/0.39	% (21544)Instructions burned: 5 (million)
0.20/0.39	% (21544)------------------------------
0.20/0.39	% (21544)------------------------------
0.20/0.39	% (21555)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_21362 for (2399ds/3Mi)
0.20/0.39	% (21555)Instruction limit reached!
0.20/0.39	% (21555)------------------------------
0.20/0.39	% (21555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.20/0.39	% (21555)Termination reason: Unknown
0.20/0.39	% (21555)Termination phase: Saturation
0.20/0.39	
0.20/0.39	% (21555)Memory used [KB]: 5500
0.20/0.39	% (21555)Time elapsed: 0.003 s
0.20/0.39	% (21555)Instructions burned: 4 (million)
0.20/0.39	% (21555)------------------------------
0.20/0.39	% (21555)------------------------------
0.20/0.40	% (21548)First to succeed.
0.20/0.40	% (21549)Instruction limit reached!
0.20/0.40	% (21549)------------------------------
0.20/0.40	% (21549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.20/0.40	% (21549)Termination reason: Unknown
0.20/0.40	% (21549)Termination phase: Saturation
0.20/0.40	
0.20/0.40	% (21549)Memory used [KB]: 5628
0.20/0.40	% (21549)Time elapsed: 0.014 s
0.20/0.40	% (21549)Instructions burned: 18 (million)
0.20/0.40	% (21549)------------------------------
0.20/0.40	% (21549)------------------------------
0.20/0.40	% (21543)Also succeeded, but the first one will report.
0.20/0.40	% (21548)Refutation found. Thanks to Tanya!
0.20/0.40	% SZS status Theorem for E---3.1_21362
0.20/0.40	% SZS output start Proof for E---3.1_21362
0.20/0.40	thf(type_def_5, type, frac: $tType).
0.20/0.40	thf(func_def_0, type, frac: $tType).
0.20/0.40	thf(func_def_1, type, x: frac).
0.20/0.40	thf(func_def_2, type, y: frac).
0.20/0.40	thf(func_def_3, type, z: frac).
0.20/0.40	thf(func_def_4, type, u: frac).
0.20/0.40	thf(func_def_5, type, moref: frac > frac > $o).
0.20/0.40	thf(func_def_6, type, eq: frac > frac > $o).
0.20/0.40	thf(func_def_7, type, pf: frac > frac > frac).
0.20/0.40	thf(f139,plain,(
0.20/0.40	  $false),
0.20/0.40	  inference(avatar_sat_refutation,[status(thm)],[f101,f105,f138])).
0.20/0.40	thf(f138,plain,(
0.20/0.40	  ~spl0_1),
0.20/0.40	  inference(avatar_contradiction_clause,[status(thm)],[f137])).
0.20/0.40	thf(f137,plain,(
0.20/0.40	  $false | ~spl0_1),
0.20/0.40	  inference(subsumption_resolution,[status(thm)],[f136,f44])).
0.20/0.40	thf(f44,plain,(
0.20/0.40	  ((moref @ x @ y) = $true)),
0.20/0.40	  inference(cnf_transformation,[status(thm)],[f21])).
0.20/0.40	thf(f21,plain,(
0.20/0.40	  ((moref @ x @ y) = $true)),
0.20/0.40	  inference(fool_elimination,[status(thm)],[f20])).
0.20/0.40	thf(f20,plain,(
0.20/0.40	  (moref @ x @ y)),
0.20/0.40	  inference(rectify,[status(thm)],[f3])).
0.20/0.40	thf(f3,axiom,(
0.20/0.40	  (moref @ x @ y)),
0.20/0.40	  file('/export/starexec/sandbox2/tmp/tmp.BIAJefzQo4/E---3.1_21362.p',m)).
0.20/0.40	thf(f136,plain,(
0.20/0.40	  ((moref @ x @ y) != $true) | ~spl0_1),
0.20/0.40	  inference(trivial_inequality_removal,[status(thm)],[f135])).
0.20/0.40	thf(f135,plain,(
0.20/0.40	  ($true != $true) | ((moref @ x @ y) != $true) | ~spl0_1),
0.20/0.40	  inference(superposition,[status(thm)],[f92,f52])).
0.20/0.40	thf(f52,plain,(
0.20/0.40	  ( ! [X0 : frac] : (((eq @ X0 @ X0) = $true)) )),
0.20/0.40	  inference(cnf_transformation,[status(thm)],[f29])).
0.20/0.40	thf(f29,plain,(
0.20/0.40	  ! [X0 : frac] : ((eq @ X0 @ X0) = $true)),
0.20/0.40	  inference(fool_elimination,[status(thm)],[f28])).
0.20/0.40	thf(f28,plain,(
0.20/0.40	  ! [X0 : frac] : (eq @ X0 @ X0)),
0.20/0.40	  inference(rectify,[status(thm)],[f5])).
0.20/0.40	thf(f5,axiom,(
0.20/0.40	  ! [X0 : frac] : (eq @ X0 @ X0)),
0.20/0.40	  file('/export/starexec/sandbox2/tmp/tmp.BIAJefzQo4/E---3.1_21362.p',satz37)).
0.20/0.40	thf(f92,plain,(
0.20/0.40	  ( ! [X0 : frac] : (($true != (eq @ X0 @ y)) | ((moref @ x @ X0) != $true)) ) | ~spl0_1),
0.20/0.40	  inference(avatar_component_clause,[status(thm)],[f91])).
0.20/0.40	thf(f91,definition,(
0.20/0.40	  spl0_1 <=> ! [X0 : frac] : (($true != (eq @ X0 @ y)) | ((moref @ x @ X0) != $true))),
0.20/0.40	  introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
0.20/0.40	thf(f105,plain,(
0.20/0.40	  spl0_3),
0.20/0.40	  inference(avatar_contradiction_clause,[status(thm)],[f104])).
0.20/0.40	thf(f104,plain,(
0.20/0.40	  $false | spl0_3),
0.20/0.40	  inference(subsumption_resolution,[status(thm)],[f103,f58])).
0.20/0.40	thf(f58,plain,(
0.20/0.40	  ((moref @ z @ u) != $true)),
0.20/0.40	  inference(subsumption_resolution,[status(thm)],[f57,f44])).
0.20/0.40	thf(f57,plain,(
0.20/0.40	  ((moref @ z @ u) != $true) | ((moref @ x @ y) != $true)),
0.20/0.40	  inference(trivial_inequality_removal,[status(thm)],[f54])).
0.20/0.40	thf(f54,plain,(
0.20/0.40	  ($true != $true) | ((moref @ z @ u) != $true) | ((moref @ x @ y) != $true)),
0.20/0.40	  inference(superposition,[status(thm)],[f49,f45])).
0.20/0.40	thf(f45,plain,(
0.20/0.40	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (((moref @ (pf @ X2 @ X1) @ (pf @ X3 @ X0)) = $true) | ((moref @ X1 @ X0) != $true) | ((moref @ X2 @ X3) != $true)) )),
0.20/0.40	  inference(cnf_transformation,[status(thm)],[f41])).
0.20/0.40	thf(f41,plain,(
0.20/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (((moref @ (pf @ X2 @ X1) @ (pf @ X3 @ X0)) = $true) | ((moref @ X1 @ X0) != $true) | ((moref @ X2 @ X3) != $true))),
0.20/0.40	  inference(flattening,[status(thm)],[f40])).
0.20/0.40	thf(f40,plain,(
0.20/0.40	  ! [X0 : frac,X1 : frac,X3 : frac,X2 : frac] : ((((moref @ (pf @ X2 @ X1) @ (pf @ X3 @ X0)) = $true) | ((moref @ X1 @ X0) != $true)) | ((moref @ X2 @ X3) != $true))),
0.20/0.40	  inference(ennf_transformation,[status(thm)],[f13])).
0.20/0.40	thf(f13,plain,(
0.20/0.40	  ! [X0 : frac,X1 : frac,X3 : frac,X2 : frac] : (((moref @ X2 @ X3) = $true) => (((moref @ X1 @ X0) = $true) => ((moref @ (pf @ X2 @ X1) @ (pf @ X3 @ X0)) = $true)))),
0.20/0.40	  inference(fool_elimination,[status(thm)],[f12])).
0.20/0.40	thf(f12,plain,(
0.20/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((moref @ X2 @ X3) => ((moref @ X1 @ X0) => (moref @ (pf @ X2 @ X1) @ (pf @ X3 @ X0))))),
0.20/0.40	  inference(rectify,[status(thm)],[f8])).
0.20/0.40	thf(f8,axiom,(
0.20/0.40	  ! [X3 : frac,X2 : frac,X0 : frac,X1 : frac] : ((moref @ X0 @ X1) => ((moref @ X2 @ X3) => (moref @ (pf @ X0 @ X2) @ (pf @ X1 @ X3))))),
0.20/0.40	  file('/export/starexec/sandbox2/tmp/tmp.BIAJefzQo4/E---3.1_21362.p',satz64)).
0.20/0.40	thf(f49,plain,(
0.20/0.40	  ((moref @ (pf @ x @ z) @ (pf @ y @ u)) != $true)),
0.20/0.40	  inference(cnf_transformation,[status(thm)],[f30])).
0.20/0.40	thf(f30,plain,(
0.20/0.40	  ((moref @ (pf @ x @ z) @ (pf @ y @ u)) != $true)),
0.20/0.40	  inference(flattening,[status(thm)],[f17])).
0.20/0.40	thf(f17,plain,(
0.20/0.40	  ~((moref @ (pf @ x @ z) @ (pf @ y @ u)) = $true)),
0.20/0.40	  inference(fool_elimination,[status(thm)],[f16])).
0.20/0.40	thf(f16,plain,(
0.20/0.40	  ~(moref @ (pf @ x @ z) @ (pf @ y @ u))),
0.20/0.40	  inference(rectify,[status(thm)],[f2])).
0.20/0.40	thf(f2,negated_conjecture,(
0.20/0.40	  ~(moref @ (pf @ x @ z) @ (pf @ y @ u))),
0.20/0.40	  inference(negated_conjecture,[status(cth)],[f1])).
0.20/0.40	thf(f1,conjecture,(
0.20/0.40	  (moref @ (pf @ x @ z) @ (pf @ y @ u))),
0.20/0.40	  file('/export/starexec/sandbox2/tmp/tmp.BIAJefzQo4/E---3.1_21362.p',satz65b)).
0.20/0.40	thf(f103,plain,(
0.20/0.40	  ((moref @ z @ u) = $true) | spl0_3),
0.20/0.40	  inference(trivial_inequality_removal,[status(thm)],[f102])).
0.20/0.40	thf(f102,plain,(
0.20/0.40	  ((moref @ z @ u) = $true) | ($true != $true) | spl0_3),
0.20/0.40	  inference(superposition,[status(thm)],[f100,f51])).
0.20/0.40	thf(f51,plain,(
0.20/0.40	  ((eq @ z @ u) = $true) | ((moref @ z @ u) = $true)),
0.20/0.40	  inference(cnf_transformation,[status(thm)],[f33])).
0.20/0.40	thf(f33,plain,(
0.20/0.40	  ((eq @ z @ u) = $true) | ((moref @ z @ u) = $true)),
0.20/0.40	  inference(ennf_transformation,[status(thm)],[f32])).
0.20/0.40	thf(f32,plain,(
0.20/0.40	  ((moref @ z @ u) != $true) => ((eq @ z @ u) = $true)),
0.20/0.40	  inference(flattening,[status(thm)],[f15])).
0.20/0.40	thf(f15,plain,(
0.20/0.40	  ~((moref @ z @ u) = $true) => ((eq @ z @ u) = $true)),
0.20/0.40	  inference(fool_elimination,[status(thm)],[f14])).
0.20/0.40	thf(f14,plain,(
0.20/0.40	  ~(moref @ z @ u) => (eq @ z @ u)),
0.20/0.40	  inference(rectify,[status(thm)],[f9])).
0.20/0.40	thf(f9,axiom,(
0.20/0.40	  ~(moref @ z @ u) => (eq @ z @ u)),
0.20/0.40	  file('/export/starexec/sandbox2/tmp/tmp.BIAJefzQo4/E---3.1_21362.p',n)).
0.20/0.40	thf(f100,plain,(
0.20/0.40	  ((eq @ z @ u) != $true) | spl0_3),
0.20/0.40	  inference(avatar_component_clause,[status(thm)],[f98])).
0.20/0.40	thf(f98,definition,(
0.20/0.40	  spl0_3 <=> ((eq @ z @ u) = $true)),
0.20/0.40	  introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
0.20/0.40	thf(f101,plain,(
0.20/0.40	  spl0_1 | ~spl0_3),
0.20/0.40	  inference(avatar_split_clause,[status(thm)],[f87,f98,f91])).
0.20/0.40	thf(f87,plain,(
0.20/0.40	  ( ! [X0 : frac] : (($true != (eq @ X0 @ y)) | ((moref @ x @ X0) != $true) | ((eq @ z @ u) != $true)) )),
0.20/0.40	  inference(trivial_inequality_removal,[status(thm)],[f84])).
0.20/0.40	thf(f84,plain,(
0.20/0.40	  ( ! [X0 : frac] : (((moref @ x @ X0) != $true) | ($true != $true) | ($true != (eq @ X0 @ y)) | ((eq @ z @ u) != $true)) )),
0.20/0.40	  inference(superposition,[status(thm)],[f75,f47])).
0.20/0.40	thf(f47,plain,(
0.20/0.40	  ( ! [X2 : frac,X0 : frac,X1 : frac] : (($true = (moref @ (pf @ X0 @ X1) @ (pf @ X2 @ X1))) | ((moref @ X0 @ X2) != $true)) )),
0.20/0.40	  inference(cnf_transformation,[status(thm)],[f39])).
0.20/0.40	thf(f39,plain,(
0.20/0.40	  ! [X0 : frac,X1 : frac,X2 : frac] : (($true = (moref @ (pf @ X0 @ X1) @ (pf @ X2 @ X1))) | ((moref @ X0 @ X2) != $true))),
0.20/0.40	  inference(ennf_transformation,[status(thm)],[f27])).
0.20/0.40	thf(f27,plain,(
0.20/0.40	  ! [X1 : frac,X0 : frac,X2 : frac] : (((moref @ X0 @ X2) = $true) => ($true = (moref @ (pf @ X0 @ X1) @ (pf @ X2 @ X1))))),
0.20/0.40	  inference(fool_elimination,[status(thm)],[f26])).
0.20/0.40	thf(f26,plain,(
0.20/0.40	  ! [X0 : frac,X1 : frac,X2 : frac] : ((moref @ X0 @ X2) => (moref @ (pf @ X0 @ X1) @ (pf @ X2 @ X1)))),
0.20/0.40	  inference(rectify,[status(thm)],[f10])).
0.20/0.40	thf(f10,axiom,(
0.20/0.40	  ! [X0 : frac,X2 : frac,X1 : frac] : ((moref @ X0 @ X1) => (moref @ (pf @ X0 @ X2) @ (pf @ X1 @ X2)))),
0.20/0.40	  file('/export/starexec/sandbox2/tmp/tmp.BIAJefzQo4/E---3.1_21362.p',satz61)).
0.20/0.40	thf(f75,plain,(
0.20/0.40	  ( ! [X0 : frac,X1 : frac] : (((moref @ (pf @ x @ z) @ (pf @ X0 @ X1)) != $true) | ($true != (eq @ X1 @ u)) | ($true != (eq @ X0 @ y))) )),
0.20/0.40	  inference(trivial_inequality_removal,[status(thm)],[f72])).
0.20/0.40	thf(f72,plain,(
0.20/0.40	  ( ! [X0 : frac,X1 : frac] : (((moref @ (pf @ x @ z) @ (pf @ X0 @ X1)) != $true) | ($true != (eq @ X0 @ y)) | ($true != (eq @ X1 @ u)) | ($true != $true)) )),
0.20/0.40	  inference(superposition,[status(thm)],[f68,f48])).
0.20/0.40	thf(f48,plain,(
0.20/0.40	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (((eq @ (pf @ X2 @ X3) @ (pf @ X1 @ X0)) = $true) | ((eq @ X3 @ X0) != $true) | ($true != (eq @ X2 @ X1))) )),
0.20/0.40	  inference(cnf_transformation,[status(thm)],[f43])).
0.20/0.40	thf(f43,plain,(
0.20/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (((eq @ X3 @ X0) != $true) | ((eq @ (pf @ X2 @ X3) @ (pf @ X1 @ X0)) = $true) | ($true != (eq @ X2 @ X1)))),
0.20/0.40	  inference(rectify,[status(thm)],[f37])).
0.20/0.40	thf(f37,plain,(
0.20/0.40	  ! [X0 : frac,X3 : frac,X2 : frac,X1 : frac] : (((eq @ X1 @ X0) != $true) | ((eq @ (pf @ X2 @ X1) @ (pf @ X3 @ X0)) = $true) | ((eq @ X2 @ X3) != $true))),
0.20/0.40	  inference(flattening,[status(thm)],[f36])).
0.20/0.40	thf(f36,plain,(
0.20/0.40	  ! [X0 : frac,X2 : frac,X1 : frac,X3 : frac] : ((((eq @ (pf @ X2 @ X1) @ (pf @ X3 @ X0)) = $true) | ((eq @ X1 @ X0) != $true)) | ((eq @ X2 @ X3) != $true))),
0.20/0.40	  inference(ennf_transformation,[status(thm)],[f25])).
0.20/0.40	thf(f25,plain,(
0.20/0.40	  ! [X0 : frac,X2 : frac,X1 : frac,X3 : frac] : (((eq @ X2 @ X3) = $true) => (((eq @ X1 @ X0) = $true) => ((eq @ (pf @ X2 @ X1) @ (pf @ X3 @ X0)) = $true)))),
0.20/0.40	  inference(fool_elimination,[status(thm)],[f24])).
0.20/0.40	thf(f24,plain,(
0.20/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((eq @ X2 @ X3) => ((eq @ X1 @ X0) => (eq @ (pf @ X2 @ X1) @ (pf @ X3 @ X0))))),
0.20/0.40	  inference(rectify,[status(thm)],[f4])).
0.20/0.40	thf(f4,axiom,(
0.20/0.40	  ! [X3 : frac,X2 : frac,X0 : frac,X1 : frac] : ((eq @ X0 @ X1) => ((eq @ X2 @ X3) => (eq @ (pf @ X0 @ X2) @ (pf @ X1 @ X3))))),
0.20/0.40	  file('/export/starexec/sandbox2/tmp/tmp.BIAJefzQo4/E---3.1_21362.p',satz56)).
0.20/0.40	thf(f68,plain,(
0.20/0.40	  ( ! [X0 : frac] : (((eq @ X0 @ (pf @ y @ u)) != $true) | ((moref @ (pf @ x @ z) @ X0) != $true)) )),
0.20/0.40	  inference(trivial_inequality_removal,[status(thm)],[f67])).
0.20/0.40	thf(f67,plain,(
0.20/0.40	  ( ! [X0 : frac] : (($true != $true) | ((eq @ X0 @ (pf @ y @ u)) != $true) | ((moref @ (pf @ x @ z) @ X0) != $true)) )),
0.20/0.40	  inference(superposition,[status(thm)],[f56,f52])).
0.20/0.40	thf(f56,plain,(
0.20/0.40	  ( ! [X0 : frac,X1 : frac] : (($true != (eq @ X0 @ (pf @ x @ z))) | ((moref @ X0 @ X1) != $true) | ((eq @ X1 @ (pf @ y @ u)) != $true)) )),
0.20/0.40	  inference(trivial_inequality_removal,[status(thm)],[f55])).
0.20/0.40	thf(f55,plain,(
0.20/0.40	  ( ! [X0 : frac,X1 : frac] : (((eq @ X1 @ (pf @ y @ u)) != $true) | ($true != $true) | ((moref @ X0 @ X1) != $true) | ($true != (eq @ X0 @ (pf @ x @ z)))) )),
0.20/0.40	  inference(superposition,[status(thm)],[f49,f46])).
0.20/0.40	thf(f46,plain,(
0.20/0.40	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (((moref @ X1 @ X0) = $true) | ((moref @ X3 @ X2) != $true) | ($true != (eq @ X3 @ X1)) | ((eq @ X2 @ X0) != $true)) )),
0.20/0.40	  inference(cnf_transformation,[status(thm)],[f42])).
0.20/0.40	thf(f42,plain,(
0.20/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (((moref @ X1 @ X0) = $true) | ($true != (eq @ X3 @ X1)) | ((eq @ X2 @ X0) != $true) | ((moref @ X3 @ X2) != $true))),
0.20/0.40	  inference(rectify,[status(thm)],[f35])).
0.20/0.40	thf(f35,plain,(
0.20/0.40	  ! [X2 : frac,X1 : frac,X3 : frac,X0 : frac] : (((moref @ X1 @ X2) = $true) | ((eq @ X0 @ X1) != $true) | ((eq @ X3 @ X2) != $true) | ((moref @ X0 @ X3) != $true))),
0.20/0.40	  inference(flattening,[status(thm)],[f34])).
0.20/0.40	thf(f34,plain,(
0.20/0.40	  ! [X3 : frac,X0 : frac,X1 : frac,X2 : frac] : (((((moref @ X1 @ X2) = $true) | ((eq @ X3 @ X2) != $true)) | ((eq @ X0 @ X1) != $true)) | ((moref @ X0 @ X3) != $true))),
0.20/0.40	  inference(ennf_transformation,[status(thm)],[f19])).
0.20/0.40	thf(f19,plain,(
0.20/0.40	  ! [X3 : frac,X0 : frac,X1 : frac,X2 : frac] : (((moref @ X0 @ X3) = $true) => (((eq @ X0 @ X1) = $true) => (((eq @ X3 @ X2) = $true) => ((moref @ X1 @ X2) = $true))))),
0.20/0.40	  inference(fool_elimination,[status(thm)],[f18])).
0.20/0.40	thf(f18,plain,(
0.20/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((moref @ X0 @ X3) => ((eq @ X0 @ X1) => ((eq @ X3 @ X2) => (moref @ X1 @ X2))))),
0.20/0.40	  inference(rectify,[status(thm)],[f6])).
0.20/0.40	thf(f6,axiom,(
0.20/0.40	  ! [X0 : frac,X2 : frac,X3 : frac,X1 : frac] : ((moref @ X0 @ X1) => ((eq @ X0 @ X2) => ((eq @ X1 @ X3) => (moref @ X2 @ X3))))),
0.20/0.40	  file('/export/starexec/sandbox2/tmp/tmp.BIAJefzQo4/E---3.1_21362.p',satz44)).
0.20/0.40	% SZS output end Proof for E---3.1_21362
0.20/0.40	% (21548)------------------------------
0.20/0.40	% (21548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.20/0.40	% (21548)Termination reason: Refutation
0.20/0.40	
0.20/0.40	% (21548)Memory used [KB]: 5628
0.20/0.40	% (21548)Time elapsed: 0.015 s
0.20/0.40	% (21548)Instructions burned: 16 (million)
0.20/0.40	% (21548)------------------------------
0.20/0.40	% (21548)------------------------------
0.20/0.40	% (21540)Success in time 0.03 s
0.20/0.40	EOF