0.00/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.09	% Command    : run_vampire %s %d THM
0.08/0.28	% Computer   : n029.cluster.edu
0.08/0.28	% Model      : x86_64 x86_64
0.08/0.28	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.28	% Memory     : 8042.1875MB
0.08/0.28	% OS         : Linux 3.10.0-693.el7.x86_64
0.08/0.28	% CPULimit   : 1920
0.08/0.28	% WCLimit    : 240
0.08/0.28	% DateTime   : Wed Jul 30 02:24:04 EDT 2025
0.08/0.29	% CPUTime    : 
0.08/0.30	This is a THF_ problem
0.08/0.30	Running higher-order theorem proving
0.08/0.31	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.H1NdV0FZ4x/E---3.1_14018.p -m 16384 -t 240
0.15/0.32	% (14127)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_14018 for (2400ds/27Mi)
0.15/0.32	% (14125)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_14018 for (2400ds/183Mi)
0.15/0.32	% (14128)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_14018 for (2400ds/2Mi)
0.15/0.32	% (14129)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_14018 for (2400ds/2Mi)
0.15/0.32	% (14126)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_14018 for (2400ds/4Mi)
0.15/0.32	% (14130)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_14018 for (2400ds/275Mi)
0.15/0.32	% (14131)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_14018 for (2400ds/18Mi)
0.15/0.32	% (14128)Instruction limit reached!
0.15/0.32	% (14128)------------------------------
0.15/0.32	% (14128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.32	% (14128)Termination reason: Unknown
0.15/0.32	% (14128)Termination phase: Saturation
0.15/0.32	% (14129)Instruction limit reached!
0.15/0.32	% (14129)------------------------------
0.15/0.32	% (14129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.32	% (14129)Termination reason: Unknown
0.15/0.32	% (14129)Termination phase: Saturation
0.15/0.32	
0.15/0.32	% (14129)Memory used [KB]: 895
0.15/0.32	% (14129)Time elapsed: 0.003 s
0.15/0.32	% (14129)Instructions burned: 2 (million)
0.15/0.32	% (14129)------------------------------
0.15/0.32	% (14129)------------------------------
0.15/0.32	
0.15/0.32	% (14128)Memory used [KB]: 5373
0.15/0.32	% (14128)Time elapsed: 0.002 s
0.15/0.32	% (14128)Instructions burned: 2 (million)
0.15/0.32	% (14128)------------------------------
0.15/0.32	% (14128)------------------------------
0.15/0.33	% (14126)Instruction limit reached!
0.15/0.33	% (14126)------------------------------
0.15/0.33	% (14126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.33	% (14126)Termination reason: Unknown
0.15/0.33	% (14126)Termination phase: Saturation
0.15/0.33	
0.15/0.33	% (14126)Memory used [KB]: 5500
0.15/0.33	% (14126)Time elapsed: 0.004 s
0.15/0.33	% (14126)Instructions burned: 5 (million)
0.15/0.33	% (14126)------------------------------
0.15/0.33	% (14126)------------------------------
0.15/0.33	% (14130)Refutation not found, incomplete strategy
0.15/0.33	% (14130)------------------------------
0.15/0.33	% (14130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.33	% (14130)Termination reason: Refutation not found, incomplete strategy
0.15/0.33	
0.15/0.33	
0.15/0.33	% (14130)Memory used [KB]: 5500
0.15/0.33	% (14130)Time elapsed: 0.004 s
0.15/0.33	% (14130)Instructions burned: 5 (million)
0.15/0.33	% (14130)------------------------------
0.15/0.33	% (14130)------------------------------
0.15/0.33	% (14131)Instruction limit reached!
0.15/0.33	% (14131)------------------------------
0.15/0.33	% (14131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.33	% (14131)Termination reason: Unknown
0.15/0.33	% (14131)Termination phase: Saturation
0.15/0.33	
0.15/0.33	% (14131)Memory used [KB]: 5628
0.15/0.33	% (14131)Time elapsed: 0.012 s
0.15/0.33	% (14131)Instructions burned: 19 (million)
0.15/0.33	% (14131)------------------------------
0.15/0.33	% (14131)------------------------------
0.15/0.34	% (14127)Instruction limit reached!
0.15/0.34	% (14127)------------------------------
0.15/0.34	% (14127)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.34	% (14127)Termination reason: Unknown
0.15/0.34	% (14127)Termination phase: Saturation
0.15/0.34	
0.15/0.34	% (14127)Memory used [KB]: 5628
0.15/0.34	% (14127)Time elapsed: 0.018 s
0.15/0.34	% (14127)Instructions burned: 27 (million)
0.15/0.34	% (14127)------------------------------
0.15/0.34	% (14127)------------------------------
0.15/0.34	% (14133)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_14018 for (2399ds/37Mi)
0.15/0.34	% (14132)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_14018 for (2399ds/3Mi)
0.15/0.34	% (14134)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_14018 for (2399ds/15Mi)
0.15/0.34	% (14132)Instruction limit reached!
0.15/0.34	% (14132)------------------------------
0.15/0.34	% (14132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.34	% (14132)Termination reason: Unknown
0.15/0.34	% (14132)Termination phase: Saturation
0.15/0.34	
0.15/0.34	% (14132)Memory used [KB]: 5500
0.15/0.34	% (14132)Time elapsed: 0.004 s
0.15/0.34	% (14132)Instructions burned: 4 (million)
0.15/0.34	% (14132)------------------------------
0.15/0.34	% (14132)------------------------------
0.15/0.34	% (14135)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_14018 for (2399ds/3Mi)
0.15/0.34	% (14135)Instruction limit reached!
0.15/0.34	% (14135)------------------------------
0.15/0.34	% (14135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.34	% (14135)Termination reason: Unknown
0.15/0.34	% (14135)Termination phase: Saturation
0.15/0.34	
0.15/0.34	% (14135)Memory used [KB]: 5500
0.15/0.34	% (14135)Time elapsed: 0.004 s
0.15/0.34	% (14135)Instructions burned: 3 (million)
0.15/0.34	% (14135)------------------------------
0.15/0.34	% (14135)------------------------------
0.15/0.35	% (14136)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_14018 for (2399ds/1041Mi)
0.15/0.35	% (14134)Instruction limit reached!
0.15/0.35	% (14134)------------------------------
0.15/0.35	% (14134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.35	% (14134)Termination reason: Unknown
0.15/0.35	% (14134)Termination phase: Saturation
0.15/0.35	
0.15/0.35	% (14134)Memory used [KB]: 5628
0.15/0.35	% (14134)Time elapsed: 0.011 s
0.15/0.35	% (14134)Instructions burned: 16 (million)
0.15/0.35	% (14134)------------------------------
0.15/0.35	% (14134)------------------------------
0.15/0.36	% (14137)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_14018 for (2399ds/7Mi)
0.15/0.36	% (14138)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_14018 for (2399ds/16Mi)
0.15/0.36	% (14137)Instruction limit reached!
0.15/0.36	% (14137)------------------------------
0.15/0.36	% (14137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.36	% (14137)Termination reason: Unknown
0.15/0.36	% (14137)Termination phase: Saturation
0.15/0.36	
0.15/0.36	% (14137)Memory used [KB]: 1023
0.15/0.36	% (14137)Time elapsed: 0.006 s
0.15/0.36	% (14137)Instructions burned: 7 (million)
0.15/0.36	% (14137)------------------------------
0.15/0.36	% (14137)------------------------------
0.15/0.36	% (14133)Instruction limit reached!
0.15/0.36	% (14133)------------------------------
0.15/0.36	% (14133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.36	% (14133)Termination reason: Unknown
0.15/0.36	% (14133)Termination phase: Saturation
0.15/0.36	
0.15/0.36	% (14133)Memory used [KB]: 5628
0.15/0.36	% (14133)Time elapsed: 0.021 s
0.15/0.36	% (14133)Instructions burned: 37 (million)
0.15/0.36	% (14133)------------------------------
0.15/0.36	% (14133)------------------------------
0.15/0.36	% (14139)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on E---3.1_14018 for (2399ds/3Mi)
0.15/0.36	% (14139)Instruction limit reached!
0.15/0.36	% (14139)------------------------------
0.15/0.36	% (14139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.36	% (14139)Termination reason: Unknown
0.15/0.36	% (14139)Termination phase: Saturation
0.15/0.36	
0.15/0.36	% (14139)Memory used [KB]: 5500
0.15/0.36	% (14139)Time elapsed: 0.004 s
0.15/0.36	% (14139)Instructions burned: 3 (million)
0.15/0.36	% (14139)------------------------------
0.15/0.36	% (14139)------------------------------
0.15/0.37	% (14140)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_14018 for (2399ds/3Mi)
0.15/0.37	% (14138)Instruction limit reached!
0.15/0.37	% (14138)------------------------------
0.15/0.37	% (14138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.37	% (14138)Termination reason: Unknown
0.15/0.37	% (14138)Termination phase: Saturation
0.15/0.37	
0.15/0.37	% (14138)Memory used [KB]: 5628
0.15/0.37	% (14138)Time elapsed: 0.011 s
0.15/0.37	% (14138)Instructions burned: 17 (million)
0.15/0.37	% (14138)------------------------------
0.15/0.37	% (14138)------------------------------
0.15/0.37	% (14140)Instruction limit reached!
0.15/0.37	% (14140)------------------------------
0.15/0.37	% (14140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.37	% (14140)Termination reason: Unknown
0.15/0.37	% (14140)Termination phase: Saturation
0.15/0.37	
0.15/0.37	% (14140)Memory used [KB]: 5500
0.15/0.37	% (14140)Time elapsed: 0.004 s
0.15/0.37	% (14140)Instructions burned: 4 (million)
0.15/0.37	% (14140)------------------------------
0.15/0.37	% (14140)------------------------------
0.15/0.37	% (14141)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on E---3.1_14018 for (2399ds/7Mi)
0.15/0.37	% (14142)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on E---3.1_14018 for (2399ds/3Mi)
0.15/0.38	% (14141)Refutation not found, incomplete strategy
0.15/0.38	% (14141)------------------------------
0.15/0.38	% (14141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.38	% (14141)Termination reason: Refutation not found, incomplete strategy
0.15/0.38	
0.15/0.38	
0.15/0.38	% (14141)Memory used [KB]: 5500
0.15/0.38	% (14142)Instruction limit reached!
0.15/0.38	% (14142)------------------------------
0.15/0.38	% (14142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.38	% (14141)Time elapsed: 0.004 s
0.15/0.38	% (14141)Instructions burned: 4 (million)
0.15/0.38	% (14142)Termination reason: Unknown
0.15/0.38	% (14141)------------------------------
0.15/0.38	% (14141)------------------------------
0.15/0.38	% (14142)Termination phase: Saturation
0.15/0.38	
0.15/0.38	% (14142)Memory used [KB]: 5500
0.15/0.38	% (14142)Time elapsed: 0.004 s
0.15/0.38	% (14142)Instructions burned: 4 (million)
0.15/0.38	% (14142)------------------------------
0.15/0.38	% (14142)------------------------------
0.15/0.38	% (14143)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_14018 for (2399ds/4Mi)
0.15/0.38	% (14143)Instruction limit reached!
0.15/0.38	% (14143)------------------------------
0.15/0.38	% (14143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.38	% (14143)Termination reason: Unknown
0.15/0.38	% (14143)Termination phase: Saturation
0.15/0.38	
0.15/0.38	% (14143)Memory used [KB]: 5500
0.15/0.38	% (14143)Time elapsed: 0.004 s
0.15/0.38	% (14143)Instructions burned: 4 (million)
0.15/0.38	% (14143)------------------------------
0.15/0.38	% (14143)------------------------------
0.15/0.38	% (14144)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on E---3.1_14018 for (2399ds/18Mi)
0.15/0.38	% (14145)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_14018 for (2399ds/710Mi)
0.15/0.39	% (14136)First to succeed.
0.15/0.39	% (14136)Refutation found. Thanks to Tanya!
0.15/0.39	% SZS status Theorem for E---3.1_14018
0.15/0.39	% SZS output start Proof for E---3.1_14018
0.15/0.39	thf(func_def_2, type, b1: $o > $i).
0.15/0.39	thf(func_def_3, type, b2: $o > $i).
0.15/0.39	thf(func_def_17, type, ph1: !>[X0: $tType]:(X0)).
0.15/0.39	thf(func_def_18, type, sK2: $o > $i).
0.15/0.39	thf(f506,plain,(
0.15/0.39	  $false),
0.15/0.39	  inference(avatar_sat_refutation,[status(thm)],[f162,f225,f239,f251,f258,f284,f350,f353,f368,f378,f505])).
0.15/0.39	thf(f505,plain,(
0.15/0.39	  ~spl0_3 | ~spl0_5 | spl0_13),
0.15/0.39	  inference(avatar_contradiction_clause,[status(thm)],[f504])).
0.15/0.39	thf(f504,plain,(
0.15/0.39	  $false | (~spl0_3 | ~spl0_5 | spl0_13)),
0.15/0.39	  inference(subsumption_resolution,[status(thm)],[f502,f228])).
0.15/0.39	thf(f228,plain,(
0.15/0.39	  (one = (sK2 @ $true)) | ~spl0_5),
0.15/0.39	  inference(avatar_component_clause,[status(thm)],[f227])).
0.15/0.39	thf(f227,definition,(
0.15/0.39	  spl0_5 <=> (one = (sK2 @ $true))),
0.15/0.39	  introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
0.15/0.39	thf(f502,plain,(
0.15/0.39	  (one != (sK2 @ $true)) | (~spl0_3 | ~spl0_5 | spl0_13)),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f373,f500])).
0.15/0.39	thf(f500,plain,(
0.15/0.39	  ($true = sK4) | (~spl0_3 | ~spl0_5 | spl0_13)),
0.15/0.39	  inference(boolean_simplification,[status(thm)],[f499])).
0.15/0.39	thf(f499,plain,(
0.15/0.39	  ((~ (~ sK4)) = $true) | (~spl0_3 | ~spl0_5 | spl0_13)),
0.15/0.39	  inference(boolean_simplification,[status(thm)],[f498])).
0.15/0.39	thf(f498,plain,(
0.15/0.39	  ($true = ((~ sK4) => $false)) | (~spl0_3 | ~spl0_5 | spl0_13)),
0.15/0.39	  inference(forward_demodulation,[status(thm)],[f394,f380])).
0.15/0.39	thf(f380,plain,(
0.15/0.39	  ((two = one) = $false) | (~spl0_3 | ~spl0_5)),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f221,f228])).
0.15/0.39	thf(f221,plain,(
0.15/0.39	  ((two = (sK2 @ $true)) = $false) | ~spl0_3),
0.15/0.39	  inference(avatar_component_clause,[status(thm)],[f220])).
0.15/0.39	thf(f220,definition,(
0.15/0.39	  spl0_3 <=> ((two = (sK2 @ $true)) = $false)),
0.15/0.39	  introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
0.15/0.39	thf(f394,plain,(
0.15/0.39	  ($true = ((~ sK4) => (two = one))) | spl0_13),
0.15/0.39	  inference(superposition,[status(thm)],[f27,f372])).
0.15/0.39	thf(f372,plain,(
0.15/0.39	  (one = (b1 @ sK4)) | spl0_13),
0.15/0.39	  inference(trivial_inequality_removal,[status(thm)],[f371])).
0.15/0.39	thf(f371,plain,(
0.15/0.39	  (one = (b1 @ sK4)) | (two != two) | spl0_13),
0.15/0.39	  inference(superposition,[status(thm)],[f257,f178])).
0.15/0.39	thf(f178,plain,(
0.15/0.39	  ( ! [X1 : $i] : ((two = X1) | (one = X1)) )),
0.15/0.39	  inference(equality_proxy_clausification,[status(thm)],[f163])).
0.15/0.39	thf(f163,plain,(
0.15/0.39	  ( ! [X1 : $i] : (($true = (one = X1)) | (two = X1)) )),
0.15/0.39	  inference(equality_proxy_clausification,[status(thm)],[f23])).
0.15/0.39	thf(f23,plain,(
0.15/0.39	  ( ! [X1 : $i] : (($true = (two = X1)) | ($true = (one = X1))) )),
0.15/0.39	  inference(binary_proxy_clausification,[status(thm)],[f22])).
0.15/0.39	thf(f22,plain,(
0.15/0.39	  ( ! [X1 : $i] : (($true = ((two = X1) | (one = X1)))) )),
0.15/0.39	  inference(beta_eta_normalization,[status(thm)],[f21])).
0.15/0.39	thf(f21,plain,(
0.15/0.39	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((two = Y0) | (one = Y0))) @ X1))) )),
0.15/0.39	  inference(pi_clausification,[status(thm)],[f18])).
0.15/0.39	thf(f18,plain,(
0.15/0.39	  ($true = (!! @ $i @ (^[Y0 : $i]: ((two = Y0) | (one = Y0)))))),
0.15/0.39	  inference(cnf_transformation,[status(thm)],[f15])).
0.15/0.39	thf(f15,plain,(
0.15/0.39	  ($true = (!! @ $i @ (^[Y0 : $i]: ((two = Y0) | (one = Y0)))))),
0.15/0.39	  inference(fool_elimination,[status(thm)],[f6])).
0.15/0.39	thf(f6,axiom,(
0.15/0.39	  ! [X0 : $i] : ((one = X0) | (two = X0))),
0.15/0.39	  file('/export/starexec/sandbox/tmp/tmp.H1NdV0FZ4x/E---3.1_14018.p',binarity_exhaust)).
0.15/0.39	thf(f257,plain,(
0.15/0.39	  (two != (b1 @ sK4)) | spl0_13),
0.15/0.39	  inference(avatar_component_clause,[status(thm)],[f256])).
0.15/0.39	thf(f256,definition,(
0.15/0.39	  spl0_13 <=> (two = (b1 @ sK4))),
0.15/0.39	  introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition])).
0.15/0.39	thf(f27,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = ((~ X1) => (two = (b1 @ X1))))) )),
0.15/0.39	  inference(binary_proxy_clausification,[status(thm)],[f25])).
0.15/0.39	thf(f25,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = (((~ X1) => (two = (b1 @ X1))) & (X1 => (one = (b1 @ X1)))))) )),
0.15/0.39	  inference(beta_eta_normalization,[status(thm)],[f24])).
0.15/0.39	thf(f24,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = ((^[Y0 : $o]: (((~ Y0) => (two = (b1 @ Y0))) & (Y0 => (one = (b1 @ Y0))))) @ X1))) )),
0.15/0.39	  inference(pi_clausification,[status(thm)],[f16])).
0.15/0.39	thf(f16,plain,(
0.15/0.39	  ($true = (!! @ $o @ (^[Y0 : $o]: (((~ Y0) => (two = (b1 @ Y0))) & (Y0 => (one = (b1 @ Y0)))))))),
0.15/0.39	  inference(cnf_transformation,[status(thm)],[f13])).
0.15/0.39	thf(f13,plain,(
0.15/0.39	  ($true = (!! @ $o @ (^[Y0 : $o]: (((~ Y0) => (two = (b1 @ Y0))) & (Y0 => (one = (b1 @ Y0)))))))),
0.15/0.39	  inference(fool_elimination,[status(thm)],[f12])).
0.15/0.39	thf(f12,plain,(
0.15/0.39	  ! [X0 : $o] : ((X0 => (one = (b1 @ X0))) & (~X0 => (two = (b1 @ X0))))),
0.15/0.39	  inference(rectify,[status(thm)],[f5])).
0.15/0.39	thf(f5,axiom,(
0.15/0.39	  ! [X0 : $o] : ((X0 => (one = (b1 @ X0))) & (~X0 => (two = (b1 @ X0))))),
0.15/0.39	  file('/export/starexec/sandbox/tmp/tmp.H1NdV0FZ4x/E---3.1_14018.p',b1)).
0.15/0.39	thf(f373,plain,(
0.15/0.39	  (one != (sK2 @ sK4)) | spl0_13),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f71,f372])).
0.15/0.39	thf(f71,plain,(
0.15/0.39	  ((sK2 @ sK4) != (b1 @ sK4))),
0.15/0.39	  inference(negative_extensionality,[status(thm)],[f70])).
0.15/0.39	thf(f70,plain,(
0.15/0.39	  (b1 != sK2)),
0.15/0.39	  inference(equality_proxy_clausification,[status(thm)],[f64])).
0.15/0.39	thf(f64,plain,(
0.15/0.39	  ($false = (b1 = sK2))),
0.15/0.39	  inference(binary_proxy_clausification,[status(thm)],[f62])).
0.15/0.39	thf(f62,plain,(
0.15/0.39	  (((b2 = sK2) | (b1 = sK2)) = $false)),
0.15/0.39	  inference(boolean_simplification,[status(thm)],[f61])).
0.15/0.39	thf(f61,plain,(
0.15/0.39	  (($true => ((b2 = sK2) | (b1 = sK2))) = $false)),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f53,f60])).
0.15/0.39	thf(f60,plain,(
0.15/0.39	  ($true = (!! @ $o @ (^[Y0 : $o]: (~ ((sK2 @ Y0) = (sK2 @ (~ Y0)))))))),
0.15/0.39	  inference(binary_proxy_clausification,[status(thm)],[f53])).
0.15/0.39	thf(f53,plain,(
0.15/0.39	  (((!! @ $o @ (^[Y0 : $o]: (~ ((sK2 @ Y0) = (sK2 @ (~ Y0)))))) => ((b2 = sK2) | (b1 = sK2))) = $false)),
0.15/0.39	  inference(beta_eta_normalization,[status(thm)],[f52])).
0.15/0.39	thf(f52,plain,(
0.15/0.39	  (((^[Y0 : $o > $i]: ((!! @ $o @ (^[Y1 : $o]: (~ ((Y0 @ Y1) = (Y0 @ (~ Y1)))))) => ((b2 = Y0) | (b1 = Y0)))) @ sK2) = $false)),
0.15/0.39	  inference(sigma_clausification,[status(thm)],[f39])).
0.15/0.39	thf(f39,plain,(
0.15/0.39	  ((!! @ ($o > $i) @ (^[Y0 : $o > $i]: ((!! @ $o @ (^[Y1 : $o]: (~ ((Y0 @ Y1) = (Y0 @ (~ Y1)))))) => ((b2 = Y0) | (b1 = Y0))))) = $false)),
0.15/0.39	  inference(not_proxy_clausification,[status(thm)],[f17])).
0.15/0.39	thf(f17,plain,(
0.15/0.39	  ($true = (~ (!! @ ($o > $i) @ (^[Y0 : $o > $i]: ((!! @ $o @ (^[Y1 : $o]: (~ ((Y0 @ Y1) = (Y0 @ (~ Y1)))))) => ((b2 = Y0) | (b1 = Y0)))))))),
0.15/0.39	  inference(cnf_transformation,[status(thm)],[f9])).
0.15/0.39	thf(f9,plain,(
0.15/0.39	  ($true = (~ (!! @ ($o > $i) @ (^[Y0 : $o > $i]: ((!! @ $o @ (^[Y1 : $o]: (~ ((Y0 @ Y1) = (Y0 @ (~ Y1)))))) => ((b2 = Y0) | (b1 = Y0)))))))),
0.15/0.39	  inference(fool_elimination,[status(thm)],[f8])).
0.15/0.39	thf(f8,plain,(
0.15/0.39	  ~! [X0 : $o > $i] : (! [X1 : $o] : ((X0 @ X1) != (X0 @ ~X1)) => ((b1 = X0) | (b2 = X0)))),
0.15/0.39	  inference(rectify,[status(thm)],[f4])).
0.15/0.39	thf(f4,negated_conjecture,(
0.15/0.39	  ~! [X1 : $o > $i] : (! [X0 : $o] : ((X1 @ X0) != (X1 @ ~X0)) => ((b1 = X1) | (b2 = X1)))),
0.15/0.39	  inference(negated_conjecture,[status(cth)],[f3])).
0.15/0.39	thf(f3,conjecture,(
0.15/0.39	  ! [X1 : $o > $i] : (! [X0 : $o] : ((X1 @ X0) != (X1 @ ~X0)) => ((b1 = X1) | (b2 = X1)))),
0.15/0.39	  file('/export/starexec/sandbox/tmp/tmp.H1NdV0FZ4x/E---3.1_14018.p',goal)).
0.15/0.39	thf(f378,plain,(
0.15/0.39	  spl0_4 | spl0_9),
0.15/0.39	  inference(avatar_split_clause,[status(thm)],[f377,f241,f223])).
0.15/0.39	thf(f223,definition,(
0.15/0.39	  spl0_4 <=> (one = (sK2 @ $false))),
0.15/0.39	  introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
0.15/0.39	thf(f241,definition,(
0.15/0.39	  spl0_9 <=> (two = (sK2 @ $false))),
0.15/0.39	  introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
0.15/0.39	thf(f377,plain,(
0.15/0.39	  (one = (sK2 @ $false)) | spl0_9),
0.15/0.39	  inference(trivial_inequality_removal,[status(thm)],[f376])).
0.15/0.39	thf(f376,plain,(
0.15/0.39	  (two != two) | (one = (sK2 @ $false)) | spl0_9),
0.15/0.39	  inference(superposition,[status(thm)],[f242,f178])).
0.15/0.39	thf(f242,plain,(
0.15/0.39	  (two != (sK2 @ $false)) | spl0_9),
0.15/0.39	  inference(avatar_component_clause,[status(thm)],[f241])).
0.15/0.39	thf(f368,plain,(
0.15/0.39	  spl0_4 | ~spl0_12),
0.15/0.39	  inference(avatar_split_clause,[status(thm)],[f367,f253,f223])).
0.15/0.39	thf(f253,definition,(
0.15/0.39	  spl0_12 <=> (one = (sK2 @ sK4))),
0.15/0.39	  introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])).
0.15/0.39	thf(f367,plain,(
0.15/0.39	  (one = (sK2 @ $false)) | ~spl0_12),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f254,f365])).
0.15/0.39	thf(f365,plain,(
0.15/0.39	  (sK4 = $false) | ~spl0_12),
0.15/0.39	  inference(trivial_inequality_removal,[status(thm)],[f363])).
0.15/0.39	thf(f363,plain,(
0.15/0.39	  (one != one) | (sK4 = $false) | ~spl0_12),
0.15/0.39	  inference(superposition,[status(thm)],[f358,f118])).
0.15/0.39	thf(f118,plain,(
0.15/0.39	  ( ! [X1 : $o] : ((one = (b1 @ X1)) | ($false = X1)) )),
0.15/0.39	  inference(equality_proxy_clausification,[status(thm)],[f30])).
0.15/0.39	thf(f30,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = (one = (b1 @ X1))) | ($false = X1)) )),
0.15/0.39	  inference(binary_proxy_clausification,[status(thm)],[f29])).
0.15/0.39	thf(f29,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = (X1 => (one = (b1 @ X1))))) )),
0.15/0.39	  inference(boolean_simplification,[status(thm)],[f28])).
0.15/0.39	thf(f28,plain,(
0.15/0.39	  ( ! [X1 : $o] : ((($true & (X1 => (one = (b1 @ X1)))) = $true)) )),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f25,f27])).
0.15/0.39	thf(f358,plain,(
0.15/0.39	  (one != (b1 @ sK4)) | ~spl0_12),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f71,f254])).
0.15/0.39	thf(f254,plain,(
0.15/0.39	  (one = (sK2 @ sK4)) | ~spl0_12),
0.15/0.39	  inference(avatar_component_clause,[status(thm)],[f253])).
0.15/0.39	thf(f353,plain,(
0.15/0.39	  ~spl0_1 | ~spl0_4),
0.15/0.39	  inference(avatar_contradiction_clause,[status(thm)],[f352])).
0.15/0.39	thf(f352,plain,(
0.15/0.39	  $false | (~spl0_1 | ~spl0_4)),
0.15/0.39	  inference(trivial_inequality_removal,[status(thm)],[f351])).
0.15/0.39	thf(f351,plain,(
0.15/0.39	  ($true = $false) | (~spl0_1 | ~spl0_4)),
0.15/0.39	  inference(forward_demodulation,[status(thm)],[f158,f320])).
0.15/0.39	thf(f320,plain,(
0.15/0.39	  ((two = one) = $false) | ~spl0_4),
0.15/0.39	  inference(forward_demodulation,[status(thm)],[f319,f224])).
0.15/0.39	thf(f224,plain,(
0.15/0.39	  (one = (sK2 @ $false)) | ~spl0_4),
0.15/0.39	  inference(avatar_component_clause,[status(thm)],[f223])).
0.15/0.39	thf(f319,plain,(
0.15/0.39	  ((two = (sK2 @ $false)) = $false) | ~spl0_4),
0.15/0.39	  inference(boolean_simplification,[status(thm)],[f317])).
0.15/0.39	thf(f317,plain,(
0.15/0.39	  ((two = (sK2 @ (~ $true))) = $false) | ~spl0_4),
0.15/0.39	  inference(superposition,[status(thm)],[f74,f306])).
0.15/0.39	thf(f306,plain,(
0.15/0.39	  (two = (sK2 @ $true)) | ~spl0_4),
0.15/0.39	  inference(trivial_inequality_removal,[status(thm)],[f301])).
0.15/0.39	thf(f301,plain,(
0.15/0.39	  (two = (sK2 @ $true)) | ($true = $false) | ~spl0_4),
0.15/0.39	  inference(superposition,[status(thm)],[f262,f163])).
0.15/0.39	thf(f262,plain,(
0.15/0.39	  ((one = (sK2 @ $true)) = $false) | ~spl0_4),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f100,f224])).
0.15/0.39	thf(f100,plain,(
0.15/0.39	  (((sK2 @ $false) = (sK2 @ $true)) = $false)),
0.15/0.39	  inference(not_proxy_clausification,[status(thm)],[f81])).
0.15/0.39	thf(f81,plain,(
0.15/0.39	  ($true = (~ ((sK2 @ $false) = (sK2 @ $true))))),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f75,f74])).
0.15/0.39	thf(f75,plain,(
0.15/0.39	  ( ! [X0 : $o] : (($true = (~ ((sK2 @ ((sK2 @ X0) = (sK2 @ (~ X0)))) = (sK2 @ $true))))) )),
0.15/0.39	  inference(superposition,[status(thm)],[f73,f73])).
0.15/0.39	thf(f73,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = (~ ((sK2 @ X1) = (sK2 @ (~ X1)))))) )),
0.15/0.39	  inference(beta_eta_normalization,[status(thm)],[f72])).
0.15/0.39	thf(f72,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = ((^[Y0 : $o]: (~ ((sK2 @ Y0) = (sK2 @ (~ Y0))))) @ X1))) )),
0.15/0.39	  inference(pi_clausification,[status(thm)],[f60])).
0.15/0.39	thf(f74,plain,(
0.15/0.39	  ( ! [X1 : $o] : ((((sK2 @ X1) = (sK2 @ (~ X1))) = $false)) )),
0.15/0.39	  inference(not_proxy_clausification,[status(thm)],[f73])).
0.15/0.39	thf(f158,plain,(
0.15/0.39	  ($true = (two = one)) | ~spl0_1),
0.15/0.39	  inference(avatar_component_clause,[status(thm)],[f157])).
0.15/0.39	thf(f157,definition,(
0.15/0.39	  spl0_1 <=> ($true = (two = one))),
0.15/0.39	  introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
0.15/0.39	thf(f350,plain,(
0.15/0.39	  ~spl0_2 | ~spl0_4 | ~spl0_7),
0.15/0.39	  inference(avatar_contradiction_clause,[status(thm)],[f349])).
0.15/0.39	thf(f349,plain,(
0.15/0.39	  $false | (~spl0_2 | ~spl0_4 | ~spl0_7)),
0.15/0.39	  inference(subsumption_resolution,[status(thm)],[f345,f87])).
0.15/0.39	thf(f87,plain,(
0.15/0.39	  (one = (b2 @ $false))),
0.15/0.39	  inference(equality_proxy_clausification,[status(thm)],[f82])).
0.15/0.39	thf(f82,plain,(
0.15/0.39	  ($true = (one = (b2 @ $false)))),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f79,f74])).
0.15/0.39	thf(f79,plain,(
0.15/0.39	  ( ! [X0 : $o] : (($true = (one = (b2 @ ((sK2 @ X0) = (sK2 @ (~ X0))))))) )),
0.15/0.39	  inference(boolean_simplification,[status(thm)],[f76])).
0.15/0.39	thf(f76,plain,(
0.15/0.39	  ( ! [X0 : $o] : (($true = ($true => (one = (b2 @ ((sK2 @ X0) = (sK2 @ (~ X0)))))))) )),
0.15/0.39	  inference(superposition,[status(thm)],[f35,f73])).
0.15/0.39	thf(f35,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = ((~ X1) => (one = (b2 @ X1))))) )),
0.15/0.39	  inference(binary_proxy_clausification,[status(thm)],[f32])).
0.15/0.39	thf(f32,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = (((~ X1) => (one = (b2 @ X1))) & (X1 => (two = (b2 @ X1)))))) )),
0.15/0.39	  inference(beta_eta_normalization,[status(thm)],[f31])).
0.15/0.39	thf(f31,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = ((^[Y0 : $o]: (((~ Y0) => (one = (b2 @ Y0))) & (Y0 => (two = (b2 @ Y0))))) @ X1))) )),
0.15/0.39	  inference(pi_clausification,[status(thm)],[f20])).
0.15/0.39	thf(f20,plain,(
0.15/0.39	  ($true = (!! @ $o @ (^[Y0 : $o]: (((~ Y0) => (one = (b2 @ Y0))) & (Y0 => (two = (b2 @ Y0)))))))),
0.15/0.39	  inference(cnf_transformation,[status(thm)],[f11])).
0.15/0.39	thf(f11,plain,(
0.15/0.39	  ($true = (!! @ $o @ (^[Y0 : $o]: (((~ Y0) => (one = (b2 @ Y0))) & (Y0 => (two = (b2 @ Y0)))))))),
0.15/0.39	  inference(fool_elimination,[status(thm)],[f10])).
0.15/0.39	thf(f10,plain,(
0.15/0.39	  ! [X0 : $o] : ((X0 => (two = (b2 @ X0))) & (~X0 => (one = (b2 @ X0))))),
0.15/0.39	  inference(rectify,[status(thm)],[f2])).
0.15/0.39	thf(f2,axiom,(
0.15/0.39	  ! [X0 : $o] : ((X0 => (two = (b2 @ X0))) & (~X0 => (one = (b2 @ X0))))),
0.15/0.39	  file('/export/starexec/sandbox/tmp/tmp.H1NdV0FZ4x/E---3.1_14018.p',b2)).
0.15/0.39	thf(f345,plain,(
0.15/0.39	  (one != (b2 @ $false)) | (~spl0_2 | ~spl0_4 | ~spl0_7)),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f285,f342])).
0.15/0.39	thf(f342,plain,(
0.15/0.39	  (sK3 = $false) | (~spl0_2 | ~spl0_4 | ~spl0_7)),
0.15/0.39	  inference(trivial_inequality_removal,[status(thm)],[f339])).
0.15/0.39	thf(f339,plain,(
0.15/0.39	  (one != one) | (sK3 = $false) | (~spl0_2 | ~spl0_4 | ~spl0_7)),
0.15/0.39	  inference(superposition,[status(thm)],[f259,f235])).
0.15/0.39	thf(f235,plain,(
0.15/0.39	  (one = (sK2 @ sK3)) | ~spl0_7),
0.15/0.39	  inference(avatar_component_clause,[status(thm)],[f234])).
0.15/0.39	thf(f234,definition,(
0.15/0.39	  spl0_7 <=> (one = (sK2 @ sK3))),
0.15/0.39	  introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
0.15/0.39	thf(f259,plain,(
0.15/0.39	  ( ! [X0 : $o] : ((one != (sK2 @ X0)) | ($false = X0)) ) | (~spl0_2 | ~spl0_4)),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f171,f224])).
0.15/0.39	thf(f171,plain,(
0.15/0.39	  ( ! [X0 : $o] : (((sK2 @ $false) != (sK2 @ X0)) | ($false = X0)) ) | ~spl0_2),
0.15/0.39	  inference(superposition,[status(thm)],[f94,f161])).
0.15/0.39	thf(f161,plain,(
0.15/0.39	  ( ! [X0 : $o] : (((~ X0) = $false) | ($false = X0)) ) | ~spl0_2),
0.15/0.39	  inference(avatar_component_clause,[status(thm)],[f160])).
0.15/0.39	thf(f160,definition,(
0.15/0.39	  spl0_2 <=> ! [X0 : $o] : (($false = X0) | ((~ X0) = $false))),
0.15/0.39	  introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
0.15/0.39	thf(f94,plain,(
0.15/0.39	  ( ! [X1 : $o] : (((sK2 @ X1) != (sK2 @ (~ X1)))) )),
0.15/0.39	  inference(equality_proxy_clausification,[status(thm)],[f74])).
0.15/0.39	thf(f285,plain,(
0.15/0.39	  (one != (b2 @ sK3)) | ~spl0_7),
0.15/0.39	  inference(forward_demodulation,[status(thm)],[f69,f235])).
0.15/0.39	thf(f69,plain,(
0.15/0.39	  ((sK2 @ sK3) != (b2 @ sK3))),
0.15/0.39	  inference(negative_extensionality,[status(thm)],[f68])).
0.15/0.39	thf(f68,plain,(
0.15/0.39	  (b2 != sK2)),
0.15/0.39	  inference(equality_proxy_clausification,[status(thm)],[f67])).
0.15/0.39	thf(f67,plain,(
0.15/0.39	  ($false = (b2 = sK2))),
0.15/0.39	  inference(boolean_simplification,[status(thm)],[f66])).
0.15/0.39	thf(f66,plain,(
0.15/0.39	  (((b2 = sK2) | $false) = $false)),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f62,f64])).
0.15/0.39	thf(f284,plain,(
0.15/0.39	  ~spl0_4 | spl0_8),
0.15/0.39	  inference(avatar_contradiction_clause,[status(thm)],[f283])).
0.15/0.39	thf(f283,plain,(
0.15/0.39	  $false | (~spl0_4 | spl0_8)),
0.15/0.39	  inference(subsumption_resolution,[status(thm)],[f281,f224])).
0.15/0.39	thf(f281,plain,(
0.15/0.39	  (one != (sK2 @ $false)) | spl0_8),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f280,f277])).
0.15/0.39	thf(f277,plain,(
0.15/0.39	  (sK3 = $false) | spl0_8),
0.15/0.39	  inference(trivial_inequality_removal,[status(thm)],[f275])).
0.15/0.39	thf(f275,plain,(
0.15/0.39	  (two != two) | (sK3 = $false) | spl0_8),
0.15/0.39	  inference(superposition,[status(thm)],[f238,f133])).
0.15/0.39	thf(f133,plain,(
0.15/0.39	  ( ! [X1 : $o] : ((two = (b2 @ X1)) | ($false = X1)) )),
0.15/0.39	  inference(equality_proxy_clausification,[status(thm)],[f38])).
0.15/0.39	thf(f38,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = (two = (b2 @ X1))) | ($false = X1)) )),
0.15/0.39	  inference(binary_proxy_clausification,[status(thm)],[f37])).
0.15/0.39	thf(f37,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = (X1 => (two = (b2 @ X1))))) )),
0.15/0.39	  inference(boolean_simplification,[status(thm)],[f36])).
0.15/0.39	thf(f36,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = ($true & (X1 => (two = (b2 @ X1)))))) )),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f32,f35])).
0.15/0.39	thf(f238,plain,(
0.15/0.39	  (two != (b2 @ sK3)) | spl0_8),
0.15/0.39	  inference(avatar_component_clause,[status(thm)],[f237])).
0.15/0.39	thf(f237,definition,(
0.15/0.39	  spl0_8 <=> (two = (b2 @ sK3))),
0.15/0.39	  introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])).
0.15/0.39	thf(f280,plain,(
0.15/0.39	  (one != (sK2 @ sK3)) | spl0_8),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f69,f278])).
0.15/0.39	thf(f278,plain,(
0.15/0.39	  (one = (b2 @ sK3)) | spl0_8),
0.15/0.39	  inference(trivial_inequality_removal,[status(thm)],[f276])).
0.15/0.39	thf(f276,plain,(
0.15/0.39	  (two != two) | (one = (b2 @ sK3)) | spl0_8),
0.15/0.39	  inference(superposition,[status(thm)],[f238,f178])).
0.15/0.39	thf(f258,plain,(
0.15/0.39	  spl0_12 | ~spl0_13),
0.15/0.39	  inference(avatar_split_clause,[status(thm)],[f204,f256,f253])).
0.15/0.39	thf(f204,plain,(
0.15/0.39	  (two != (b1 @ sK4)) | (one = (sK2 @ sK4))),
0.15/0.39	  inference(superposition,[status(thm)],[f71,f178])).
0.15/0.39	thf(f251,plain,(
0.15/0.39	  spl0_5 | ~spl0_9),
0.15/0.39	  inference(avatar_split_clause,[status(thm)],[f209,f241,f227])).
0.15/0.39	thf(f209,plain,(
0.15/0.39	  (one = (sK2 @ $true)) | (two != (sK2 @ $false))),
0.15/0.39	  inference(superposition,[status(thm)],[f110,f178])).
0.15/0.39	thf(f110,plain,(
0.15/0.39	  ((sK2 @ $false) != (sK2 @ $true))),
0.15/0.39	  inference(backward_demodulation,[status(thm)],[f101,f100])).
0.15/0.39	thf(f101,plain,(
0.15/0.39	  ((sK2 @ ((sK2 @ $false) = (sK2 @ $true))) != (sK2 @ $true))),
0.15/0.39	  inference(superposition,[status(thm)],[f94,f81])).
0.15/0.39	thf(f239,plain,(
0.15/0.39	  spl0_7 | ~spl0_8),
0.15/0.39	  inference(avatar_split_clause,[status(thm)],[f203,f237,f234])).
0.15/0.39	thf(f203,plain,(
0.15/0.39	  (one = (sK2 @ sK3)) | (two != (b2 @ sK3))),
0.15/0.39	  inference(superposition,[status(thm)],[f69,f178])).
0.15/0.39	thf(f225,plain,(
0.15/0.39	  spl0_3 | spl0_4),
0.15/0.39	  inference(avatar_split_clause,[status(thm)],[f207,f223,f220])).
0.15/0.39	thf(f207,plain,(
0.15/0.39	  ((two = (sK2 @ $true)) = $false) | (one = (sK2 @ $false))),
0.15/0.39	  inference(superposition,[status(thm)],[f100,f178])).
0.15/0.39	thf(f162,plain,(
0.15/0.39	  spl0_1 | spl0_2),
0.15/0.39	  inference(avatar_split_clause,[status(thm)],[f150,f160,f157])).
0.15/0.39	thf(f150,plain,(
0.15/0.39	  ( ! [X0 : $o] : (($false = X0) | ($true = (two = one)) | ((~ X0) = $false)) )),
0.15/0.39	  inference(superposition,[status(thm)],[f33,f118])).
0.15/0.39	thf(f33,plain,(
0.15/0.39	  ( ! [X1 : $o] : (($true = (two = (b1 @ X1))) | ((~ X1) = $false)) )),
0.15/0.39	  inference(binary_proxy_clausification,[status(thm)],[f27])).
0.15/0.39	% SZS output end Proof for E---3.1_14018
0.15/0.39	% (14136)------------------------------
0.15/0.39	% (14136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.15/0.39	% (14136)Termination reason: Refutation
0.15/0.39	
0.15/0.39	% (14136)Memory used [KB]: 5756
0.15/0.39	% (14136)Time elapsed: 0.039 s
0.15/0.39	% (14136)Instructions burned: 65 (million)
0.15/0.39	% (14136)------------------------------
0.15/0.39	% (14136)------------------------------
0.15/0.39	% (14124)Success in time 0.07 s
0.15/0.39	EOF