0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% 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
0.12/0.34	% WCLimit    : 240
0.12/0.34	% DateTime   : Wed Jul 30 02:32:19 EDT 2025
0.12/0.34	% CPUTime    : 
0.12/0.36	This is a THF_ problem
0.12/0.36	Running higher-order theorem proving
0.22/0.36	Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.07rt3RJvuA/E---3.1_21272.p -m 16384 -t 240
0.22/0.38	% (21516)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_21272 for (2399ds/2Mi)
0.22/0.38	% (21516)Instruction limit reached!
0.22/0.38	% (21516)------------------------------
0.22/0.38	% (21516)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.38	% (21516)Termination reason: Unknown
0.22/0.38	% (21516)Termination phase: Saturation
0.22/0.38	
0.22/0.38	% (21516)Memory used [KB]: 1023
0.22/0.38	% (21516)Time elapsed: 0.003 s
0.22/0.38	% (21516)Instructions burned: 3 (million)
0.22/0.38	% (21516)------------------------------
0.22/0.38	% (21516)------------------------------
0.22/0.38	% (21512)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_21272 for (2399ds/183Mi)
0.22/0.39	% (21513)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_21272 for (2399ds/4Mi)
0.22/0.39	% (21514)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_21272 for (2399ds/27Mi)
0.22/0.39	% (21515)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_21272 for (2399ds/2Mi)
0.22/0.39	% (21517)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_21272 for (2399ds/275Mi)
0.22/0.39	% (21518)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_21272 for (2399ds/18Mi)
0.22/0.39	% (21515)Instruction limit reached!
0.22/0.39	% (21515)------------------------------
0.22/0.39	% (21515)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.39	% (21515)Termination reason: Unknown
0.22/0.39	% (21515)Termination phase: Saturation
0.22/0.39	
0.22/0.39	% (21515)Memory used [KB]: 1023
0.22/0.39	% (21515)Time elapsed: 0.004 s
0.22/0.39	% (21515)Instructions burned: 2 (million)
0.22/0.39	% (21515)------------------------------
0.22/0.39	% (21515)------------------------------
0.22/0.39	% (21513)Instruction limit reached!
0.22/0.39	% (21513)------------------------------
0.22/0.39	% (21513)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.39	% (21513)Termination reason: Unknown
0.22/0.39	% (21513)Termination phase: Saturation
0.22/0.39	
0.22/0.39	% (21513)Memory used [KB]: 5500
0.22/0.39	% (21513)Time elapsed: 0.005 s
0.22/0.39	% (21513)Instructions burned: 4 (million)
0.22/0.39	% (21513)------------------------------
0.22/0.39	% (21513)------------------------------
0.22/0.39	% (21519)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_21272 for (2399ds/3Mi)
0.22/0.39	% (21519)Instruction limit reached!
0.22/0.39	% (21519)------------------------------
0.22/0.39	% (21519)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.39	% (21519)Termination reason: Unknown
0.22/0.39	% (21519)Termination phase: Saturation
0.22/0.39	
0.22/0.39	% (21519)Memory used [KB]: 5500
0.22/0.39	% (21519)Time elapsed: 0.003 s
0.22/0.39	% (21519)Instructions burned: 4 (million)
0.22/0.39	% (21519)------------------------------
0.22/0.39	% (21519)------------------------------
0.22/0.40	% (21512)First to succeed.
0.22/0.40	% (21517)Also succeeded, but the first one will report.
0.22/0.40	% (21518)Instruction limit reached!
0.22/0.40	% (21518)------------------------------
0.22/0.40	% (21518)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.40	% (21518)Termination reason: Unknown
0.22/0.40	% (21518)Termination phase: Saturation
0.22/0.40	
0.22/0.40	% (21518)Memory used [KB]: 5628
0.22/0.40	% (21518)Time elapsed: 0.015 s
0.22/0.40	% (21518)Instructions burned: 18 (million)
0.22/0.40	% (21518)------------------------------
0.22/0.40	% (21518)------------------------------
0.22/0.40	% (21512)Refutation found. Thanks to Tanya!
0.22/0.40	% SZS status Theorem for E---3.1_21272
0.22/0.40	% SZS output start Proof for E---3.1_21272
0.22/0.40	thf(type_def_5, type, frac: $tType).
0.22/0.40	thf(func_def_0, type, frac: $tType).
0.22/0.40	thf(func_def_1, type, x: frac).
0.22/0.40	thf(func_def_2, type, y: frac).
0.22/0.40	thf(func_def_3, type, z: frac).
0.22/0.40	thf(func_def_4, type, u: frac).
0.22/0.40	thf(func_def_5, type, moref: frac > frac > $o).
0.22/0.40	thf(func_def_6, type, eq: frac > frac > $o).
0.22/0.40	thf(func_def_7, type, pf: frac > frac > frac).
0.22/0.40	thf(f124,plain,(
0.22/0.40	  $false),
0.22/0.40	  inference(avatar_sat_refutation,[],[f64,f70,f123])).
0.22/0.40	thf(f123,plain,(
0.22/0.40	  ~spl0_2),
0.22/0.40	  inference(avatar_contradiction_clause,[],[f122])).
0.22/0.40	thf(f122,plain,(
0.22/0.40	  $false | ~spl0_2),
0.22/0.40	  inference(subsumption_resolution,[],[f121,f46])).
0.22/0.40	thf(f46,plain,(
0.22/0.40	  ((moref @ x @ y) = $true)),
0.22/0.40	  inference(cnf_transformation,[],[f21])).
0.22/0.40	thf(f21,plain,(
0.22/0.40	  ((moref @ x @ y) = $true)),
0.22/0.40	  inference(fool_elimination,[],[f20])).
0.22/0.40	thf(f20,plain,(
0.22/0.40	  (moref @ x @ y)),
0.22/0.40	  inference(rectify,[],[f3])).
0.22/0.40	thf(f3,axiom,(
0.22/0.40	  (moref @ x @ y)),
0.22/0.40	  file('/export/starexec/sandbox/tmp/tmp.07rt3RJvuA/E---3.1_21272.p',m)).
0.22/0.40	thf(f121,plain,(
0.22/0.40	  ((moref @ x @ y) != $true) | ~spl0_2),
0.22/0.40	  inference(trivial_inequality_removal,[],[f120])).
0.22/0.40	thf(f120,plain,(
0.22/0.40	  ((moref @ x @ y) != $true) | ($true != $true) | ~spl0_2),
0.22/0.40	  inference(superposition,[],[f119,f48])).
0.22/0.40	thf(f48,plain,(
0.22/0.40	  ( ! [X0 : frac] : (((eq @ X0 @ X0) = $true)) )),
0.22/0.40	  inference(cnf_transformation,[],[f13])).
0.22/0.40	thf(f13,plain,(
0.22/0.40	  ! [X0 : frac] : ((eq @ X0 @ X0) = $true)),
0.22/0.40	  inference(fool_elimination,[],[f12])).
0.22/0.40	thf(f12,plain,(
0.22/0.40	  ! [X0 : frac] : (eq @ X0 @ X0)),
0.22/0.40	  inference(rectify,[],[f5])).
0.22/0.40	thf(f5,axiom,(
0.22/0.40	  ! [X0 : frac] : (eq @ X0 @ X0)),
0.22/0.40	  file('/export/starexec/sandbox/tmp/tmp.07rt3RJvuA/E---3.1_21272.p',satz37)).
0.22/0.40	thf(f119,plain,(
0.22/0.40	  ( ! [X0 : frac] : (($true != (eq @ X0 @ y)) | ($true != (moref @ x @ X0))) ) | ~spl0_2),
0.22/0.40	  inference(subsumption_resolution,[],[f117,f63])).
0.22/0.40	thf(f63,plain,(
0.22/0.40	  ((eq @ z @ u) = $true) | ~spl0_2),
0.22/0.40	  inference(avatar_component_clause,[],[f61])).
0.22/0.40	thf(f61,plain,(
0.22/0.40	  spl0_2 <=> ((eq @ z @ u) = $true)),
0.22/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
0.22/0.40	thf(f117,plain,(
0.22/0.40	  ( ! [X0 : frac] : (($true != (eq @ X0 @ y)) | ($true != (moref @ x @ X0)) | ((eq @ z @ u) != $true)) )),
0.22/0.40	  inference(trivial_inequality_removal,[],[f113])).
0.22/0.40	thf(f113,plain,(
0.22/0.40	  ( ! [X0 : frac] : (($true != (moref @ x @ X0)) | ($true != (eq @ X0 @ y)) | ($true != $true) | ((eq @ z @ u) != $true)) )),
0.22/0.40	  inference(superposition,[],[f108,f52])).
0.22/0.40	thf(f52,plain,(
0.22/0.40	  ( ! [X2 : frac,X0 : frac,X1 : frac] : (($true = (moref @ (pf @ X1 @ X0) @ (pf @ X2 @ X0))) | ((moref @ X1 @ X2) != $true)) )),
0.22/0.40	  inference(cnf_transformation,[],[f44])).
0.22/0.40	thf(f44,plain,(
0.22/0.40	  ! [X0 : frac,X1 : frac,X2 : frac] : (((moref @ X1 @ X2) != $true) | ($true = (moref @ (pf @ X1 @ X0) @ (pf @ X2 @ X0))))),
0.22/0.40	  inference(rectify,[],[f34])).
0.22/0.40	thf(f34,plain,(
0.22/0.40	  ! [X1 : frac,X2 : frac,X0 : frac] : (($true != (moref @ X2 @ X0)) | ((moref @ (pf @ X2 @ X1) @ (pf @ X0 @ X1)) = $true))),
0.22/0.40	  inference(ennf_transformation,[],[f17])).
0.22/0.40	thf(f17,plain,(
0.22/0.40	  ! [X0 : frac,X1 : frac,X2 : frac] : (($true = (moref @ X2 @ X0)) => ((moref @ (pf @ X2 @ X1) @ (pf @ X0 @ X1)) = $true))),
0.22/0.40	  inference(fool_elimination,[],[f16])).
0.22/0.40	thf(f16,plain,(
0.22/0.40	  ! [X0 : frac,X1 : frac,X2 : frac] : ((moref @ X2 @ X0) => (moref @ (pf @ X2 @ X1) @ (pf @ X0 @ X1)))),
0.22/0.40	  inference(rectify,[],[f10])).
0.22/0.40	thf(f10,axiom,(
0.22/0.40	  ! [X1 : frac,X2 : frac,X0 : frac] : ((moref @ X0 @ X1) => (moref @ (pf @ X0 @ X2) @ (pf @ X1 @ X2)))),
0.22/0.40	  file('/export/starexec/sandbox/tmp/tmp.07rt3RJvuA/E---3.1_21272.p',satz61)).
0.22/0.40	thf(f108,plain,(
0.22/0.40	  ( ! [X0 : frac,X1 : frac] : (((moref @ (pf @ x @ z) @ (pf @ X0 @ X1)) != $true) | ((eq @ X1 @ u) != $true) | ($true != (eq @ X0 @ y))) )),
0.22/0.40	  inference(trivial_inequality_removal,[],[f105])).
0.22/0.40	thf(f105,plain,(
0.22/0.40	  ( ! [X0 : frac,X1 : frac] : (((moref @ (pf @ x @ z) @ (pf @ X0 @ X1)) != $true) | ((eq @ X1 @ u) != $true) | ($true != $true) | ($true != (eq @ X0 @ y))) )),
0.22/0.40	  inference(superposition,[],[f88,f48])).
0.22/0.40	thf(f88,plain,(
0.22/0.40	  ( ! [X2 : frac,X0 : frac,X1 : frac] : (($true != (eq @ X2 @ (pf @ x @ z))) | ((moref @ X2 @ (pf @ X0 @ X1)) != $true) | ($true != (eq @ X0 @ y)) | ((eq @ X1 @ u) != $true)) )),
0.22/0.40	  inference(trivial_inequality_removal,[],[f86])).
0.22/0.40	thf(f86,plain,(
0.22/0.40	  ( ! [X2 : frac,X0 : frac,X1 : frac] : (($true != (eq @ X0 @ y)) | ($true != (eq @ X2 @ (pf @ x @ z))) | ((moref @ X2 @ (pf @ X0 @ X1)) != $true) | ((eq @ X1 @ u) != $true) | ($true != $true)) )),
0.22/0.40	  inference(superposition,[],[f66,f50])).
0.22/0.40	thf(f50,plain,(
0.22/0.40	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (((eq @ (pf @ X0 @ X1) @ (pf @ X3 @ X2)) = $true) | ($true != (eq @ X0 @ X3)) | ($true != (eq @ X1 @ X2))) )),
0.22/0.40	  inference(cnf_transformation,[],[f43])).
0.22/0.40	thf(f43,plain,(
0.22/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (($true != (eq @ X0 @ X3)) | ($true != (eq @ X1 @ X2)) | ((eq @ (pf @ X0 @ X1) @ (pf @ X3 @ X2)) = $true))),
0.22/0.40	  inference(rectify,[],[f38])).
0.22/0.40	thf(f38,plain,(
0.22/0.40	  ! [X1 : frac,X3 : frac,X2 : frac,X0 : frac] : (($true != (eq @ X1 @ X0)) | ($true != (eq @ X3 @ X2)) | ($true = (eq @ (pf @ X1 @ X3) @ (pf @ X0 @ X2))))),
0.22/0.40	  inference(flattening,[],[f37])).
0.22/0.40	thf(f37,plain,(
0.22/0.40	  ! [X1 : frac,X3 : frac,X2 : frac,X0 : frac] : ((($true = (eq @ (pf @ X1 @ X3) @ (pf @ X0 @ X2))) | ($true != (eq @ X3 @ X2))) | ($true != (eq @ X1 @ X0)))),
0.22/0.40	  inference(ennf_transformation,[],[f25])).
0.22/0.40	thf(f25,plain,(
0.22/0.40	  ! [X1 : frac,X3 : frac,X2 : frac,X0 : frac] : (($true = (eq @ X1 @ X0)) => (($true = (eq @ X3 @ X2)) => ($true = (eq @ (pf @ X1 @ X3) @ (pf @ X0 @ X2)))))),
0.22/0.40	  inference(fool_elimination,[],[f24])).
0.22/0.40	thf(f24,plain,(
0.22/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((eq @ X1 @ X0) => ((eq @ X3 @ X2) => (eq @ (pf @ X1 @ X3) @ (pf @ X0 @ X2))))),
0.22/0.40	  inference(rectify,[],[f4])).
0.22/0.40	thf(f4,axiom,(
0.22/0.40	  ! [X1 : frac,X0 : frac,X3 : frac,X2 : frac] : ((eq @ X0 @ X1) => ((eq @ X2 @ X3) => (eq @ (pf @ X0 @ X2) @ (pf @ X1 @ X3))))),
0.22/0.40	  file('/export/starexec/sandbox/tmp/tmp.07rt3RJvuA/E---3.1_21272.p',satz56)).
0.22/0.40	thf(f66,plain,(
0.22/0.40	  ( ! [X0 : frac,X1 : frac] : (($true != (eq @ X1 @ (pf @ y @ u))) | ((moref @ X0 @ X1) != $true) | ((eq @ X0 @ (pf @ x @ z)) != $true)) )),
0.22/0.40	  inference(trivial_inequality_removal,[],[f65])).
0.22/0.40	thf(f65,plain,(
0.22/0.40	  ( ! [X0 : frac,X1 : frac] : (($true != (eq @ X1 @ (pf @ y @ u))) | ((eq @ X0 @ (pf @ x @ z)) != $true) | ($true != $true) | ((moref @ X0 @ X1) != $true)) )),
0.22/0.40	  inference(superposition,[],[f49,f47])).
0.22/0.40	thf(f47,plain,(
0.22/0.40	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (((moref @ X3 @ X1) = $true) | ($true != (moref @ X2 @ X0)) | ((eq @ X0 @ X1) != $true) | ((eq @ X2 @ X3) != $true)) )),
0.22/0.40	  inference(cnf_transformation,[],[f42])).
0.22/0.40	thf(f42,plain,(
0.22/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (((eq @ X0 @ X1) != $true) | ((moref @ X3 @ X1) = $true) | ((eq @ X2 @ X3) != $true) | ($true != (moref @ X2 @ X0)))),
0.22/0.40	  inference(rectify,[],[f36])).
0.22/0.40	thf(f36,plain,(
0.22/0.40	  ! [X3 : frac,X0 : frac,X1 : frac,X2 : frac] : (((eq @ X3 @ X0) != $true) | ($true = (moref @ X2 @ X0)) | ($true != (eq @ X1 @ X2)) | ((moref @ X1 @ X3) != $true))),
0.22/0.40	  inference(flattening,[],[f35])).
0.22/0.40	thf(f35,plain,(
0.22/0.40	  ! [X3 : frac,X2 : frac,X0 : frac,X1 : frac] : (((($true = (moref @ X2 @ X0)) | ((eq @ X3 @ X0) != $true)) | ($true != (eq @ X1 @ X2))) | ((moref @ X1 @ X3) != $true))),
0.22/0.40	  inference(ennf_transformation,[],[f23])).
0.22/0.40	thf(f23,plain,(
0.22/0.40	  ! [X3 : frac,X2 : frac,X0 : frac,X1 : frac] : (((moref @ X1 @ X3) = $true) => (($true = (eq @ X1 @ X2)) => (((eq @ X3 @ X0) = $true) => ($true = (moref @ X2 @ X0)))))),
0.22/0.40	  inference(fool_elimination,[],[f22])).
0.22/0.40	thf(f22,plain,(
0.22/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((moref @ X1 @ X3) => ((eq @ X1 @ X2) => ((eq @ X3 @ X0) => (moref @ X2 @ X0))))),
0.22/0.40	  inference(rectify,[],[f6])).
0.22/0.40	thf(f6,axiom,(
0.22/0.40	  ! [X3 : frac,X0 : frac,X2 : frac,X1 : frac] : ((moref @ X0 @ X1) => ((eq @ X0 @ X2) => ((eq @ X1 @ X3) => (moref @ X2 @ X3))))),
0.22/0.40	  file('/export/starexec/sandbox/tmp/tmp.07rt3RJvuA/E---3.1_21272.p',satz44)).
0.22/0.40	thf(f49,plain,(
0.22/0.40	  ((moref @ (pf @ x @ z) @ (pf @ y @ u)) != $true)),
0.22/0.40	  inference(cnf_transformation,[],[f31])).
0.22/0.40	thf(f31,plain,(
0.22/0.40	  ((moref @ (pf @ x @ z) @ (pf @ y @ u)) != $true)),
0.22/0.40	  inference(flattening,[],[f19])).
0.22/0.40	thf(f19,plain,(
0.22/0.40	  ~((moref @ (pf @ x @ z) @ (pf @ y @ u)) = $true)),
0.22/0.40	  inference(fool_elimination,[],[f18])).
0.22/0.40	thf(f18,plain,(
0.22/0.40	  ~(moref @ (pf @ x @ z) @ (pf @ y @ u))),
0.22/0.40	  inference(rectify,[],[f2])).
0.22/0.40	thf(f2,negated_conjecture,(
0.22/0.40	  ~(moref @ (pf @ x @ z) @ (pf @ y @ u))),
0.22/0.40	  inference(negated_conjecture,[],[f1])).
0.22/0.40	thf(f1,conjecture,(
0.22/0.40	  (moref @ (pf @ x @ z) @ (pf @ y @ u))),
0.22/0.40	  file('/export/starexec/sandbox/tmp/tmp.07rt3RJvuA/E---3.1_21272.p',satz65b)).
0.22/0.40	thf(f70,plain,(
0.22/0.40	  ~spl0_1),
0.22/0.40	  inference(avatar_split_clause,[],[f69,f57])).
0.22/0.40	thf(f57,plain,(
0.22/0.40	  spl0_1 <=> ((moref @ z @ u) = $true)),
0.22/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
0.22/0.40	thf(f69,plain,(
0.22/0.40	  ((moref @ z @ u) != $true)),
0.22/0.40	  inference(subsumption_resolution,[],[f68,f46])).
0.22/0.40	thf(f68,plain,(
0.22/0.40	  ((moref @ x @ y) != $true) | ((moref @ z @ u) != $true)),
0.22/0.40	  inference(trivial_inequality_removal,[],[f67])).
0.22/0.40	thf(f67,plain,(
0.22/0.40	  ((moref @ x @ y) != $true) | ((moref @ z @ u) != $true) | ($true != $true)),
0.22/0.40	  inference(superposition,[],[f49,f54])).
0.22/0.40	thf(f54,plain,(
0.22/0.40	  ( ! [X2 : frac,X3 : frac,X0 : frac,X1 : frac] : (($true = (moref @ (pf @ X3 @ X0) @ (pf @ X1 @ X2))) | ((moref @ X3 @ X1) != $true) | ($true != (moref @ X0 @ X2))) )),
0.22/0.40	  inference(cnf_transformation,[],[f45])).
0.22/0.40	thf(f45,plain,(
0.22/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : (((moref @ X3 @ X1) != $true) | ($true != (moref @ X0 @ X2)) | ($true = (moref @ (pf @ X3 @ X0) @ (pf @ X1 @ X2))))),
0.22/0.40	  inference(rectify,[],[f41])).
0.22/0.40	thf(f41,plain,(
0.22/0.40	  ! [X2 : frac,X1 : frac,X3 : frac,X0 : frac] : (((moref @ X0 @ X1) != $true) | ((moref @ X2 @ X3) != $true) | ((moref @ (pf @ X0 @ X2) @ (pf @ X1 @ X3)) = $true))),
0.22/0.40	  inference(flattening,[],[f40])).
0.22/0.40	thf(f40,plain,(
0.22/0.40	  ! [X0 : frac,X2 : frac,X1 : frac,X3 : frac] : ((((moref @ (pf @ X0 @ X2) @ (pf @ X1 @ X3)) = $true) | ((moref @ X2 @ X3) != $true)) | ((moref @ X0 @ X1) != $true))),
0.22/0.40	  inference(ennf_transformation,[],[f27])).
0.22/0.40	thf(f27,plain,(
0.22/0.40	  ! [X0 : frac,X2 : frac,X1 : frac,X3 : frac] : (((moref @ X0 @ X1) = $true) => (((moref @ X2 @ X3) = $true) => ((moref @ (pf @ X0 @ X2) @ (pf @ X1 @ X3)) = $true)))),
0.22/0.40	  inference(fool_elimination,[],[f26])).
0.22/0.40	thf(f26,plain,(
0.22/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((moref @ X0 @ X1) => ((moref @ X2 @ X3) => (moref @ (pf @ X0 @ X2) @ (pf @ X1 @ X3))))),
0.22/0.40	  inference(rectify,[],[f8])).
0.22/0.40	thf(f8,axiom,(
0.22/0.40	  ! [X0 : frac,X1 : frac,X2 : frac,X3 : frac] : ((moref @ X0 @ X1) => ((moref @ X2 @ X3) => (moref @ (pf @ X0 @ X2) @ (pf @ X1 @ X3))))),
0.22/0.40	  file('/export/starexec/sandbox/tmp/tmp.07rt3RJvuA/E---3.1_21272.p',satz64)).
0.22/0.40	thf(f64,plain,(
0.22/0.40	  spl0_1 | spl0_2),
0.22/0.40	  inference(avatar_split_clause,[],[f51,f61,f57])).
0.22/0.40	thf(f51,plain,(
0.22/0.40	  ((eq @ z @ u) = $true) | ((moref @ z @ u) = $true)),
0.22/0.40	  inference(cnf_transformation,[],[f39])).
0.22/0.40	thf(f39,plain,(
0.22/0.40	  ((moref @ z @ u) = $true) | ((eq @ z @ u) = $true)),
0.22/0.40	  inference(ennf_transformation,[],[f30])).
0.22/0.40	thf(f30,plain,(
0.22/0.40	  ((moref @ z @ u) != $true) => ((eq @ z @ u) = $true)),
0.22/0.40	  inference(flattening,[],[f15])).
0.22/0.40	thf(f15,plain,(
0.22/0.40	  ~((moref @ z @ u) = $true) => ((eq @ z @ u) = $true)),
0.22/0.40	  inference(fool_elimination,[],[f14])).
0.22/0.40	thf(f14,plain,(
0.22/0.40	  ~(moref @ z @ u) => (eq @ z @ u)),
0.22/0.40	  inference(rectify,[],[f9])).
0.22/0.40	thf(f9,axiom,(
0.22/0.40	  ~(moref @ z @ u) => (eq @ z @ u)),
0.22/0.40	  file('/export/starexec/sandbox/tmp/tmp.07rt3RJvuA/E---3.1_21272.p',n)).
0.22/0.40	% SZS output end Proof for E---3.1_21272
0.22/0.40	% (21512)------------------------------
0.22/0.40	% (21512)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.22/0.40	% (21512)Termination reason: Refutation
0.22/0.40	
0.22/0.40	% (21512)Memory used [KB]: 5628
0.22/0.40	% (21512)Time elapsed: 0.014 s
0.22/0.40	% (21512)Instructions burned: 13 (million)
0.22/0.40	% (21512)------------------------------
0.22/0.40	% (21512)------------------------------
0.22/0.40	% (21511)Success in time 0.026 s
0.22/0.40	EOF