0.05/0.22	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.05/0.22	% Command    : run_vampire %s %d THM
0.10/0.45	% Computer : n010.cluster.edu
0.10/0.45	% Model    : x86_64 x86_64
0.10/0.45	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.45	% Memory   : 8042.1875MB
0.10/0.45	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.45	% CPULimit   : 1920
0.10/0.45	% WCLimit    : 240
0.10/0.45	% DateTime   : Wed Jul 30 08:06:04 EDT 2025
0.10/0.46	% CPUTime    : 
0.10/0.47	This is a THF_ problem
0.10/0.47	Running higher-order theorem proving
0.19/0.48	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.YOly4gAdB9/E---3.1_6747.p -m 16384 -t 240
0.19/0.50	% (6855)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_6747 for (2399ds/183Mi)
0.19/0.51	% (6860)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_6747 for (2399ds/275Mi)
0.19/0.51	% (6856)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_6747 for (2399ds/4Mi)
0.19/0.51	% (6857)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_6747 for (2399ds/27Mi)
0.19/0.51	% (6858)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_6747 for (2399ds/2Mi)
0.19/0.51	% (6861)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_6747 for (2399ds/18Mi)
0.19/0.51	% (6860)Refutation not found, incomplete strategy
0.19/0.51	% (6860)------------------------------
0.19/0.51	% (6860)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.51	% (6860)Termination reason: Refutation not found, incomplete strategy
0.19/0.51	
0.19/0.51	
0.19/0.51	% (6860)Memory used [KB]: 5500
0.19/0.51	% (6860)Time elapsed: 0.002 s
0.19/0.51	% (6860)Instructions burned: 1 (million)
0.19/0.51	% (6860)------------------------------
0.19/0.51	% (6860)------------------------------
0.19/0.51	% (6858)Instruction limit reached!
0.19/0.51	% (6858)------------------------------
0.19/0.51	% (6858)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.51	% (6858)Termination reason: Unknown
0.19/0.51	% (6858)Termination phase: Saturation
0.19/0.51	
0.19/0.51	% (6858)Memory used [KB]: 5500
0.19/0.51	% (6858)Time elapsed: 0.002 s
0.19/0.51	% (6858)Instructions burned: 2 (million)
0.19/0.51	% (6858)------------------------------
0.19/0.51	% (6858)------------------------------
0.19/0.51	% (6856)Instruction limit reached!
0.19/0.51	% (6856)------------------------------
0.19/0.51	% (6856)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.51	% (6856)Termination reason: Unknown
0.19/0.51	% (6856)Termination phase: Saturation
0.19/0.51	
0.19/0.51	% (6856)Memory used [KB]: 5500
0.19/0.51	% (6856)Time elapsed: 0.004 s
0.19/0.51	% (6856)Instructions burned: 6 (million)
0.19/0.51	% (6856)------------------------------
0.19/0.51	% (6856)------------------------------
0.19/0.52	% (6859)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_6747 for (2399ds/2Mi)
0.19/0.52	% (6859)Instruction limit reached!
0.19/0.52	% (6859)------------------------------
0.19/0.52	% (6859)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.52	% (6859)Termination reason: Unknown
0.19/0.52	% (6859)Termination phase: Saturation
0.19/0.52	
0.19/0.52	% (6859)Memory used [KB]: 895
0.19/0.52	% (6859)Time elapsed: 0.004 s
0.19/0.52	% (6859)Instructions burned: 2 (million)
0.19/0.52	% (6859)------------------------------
0.19/0.52	% (6859)------------------------------
0.19/0.53	% (6861)First to succeed.
0.19/0.53	% (6861)Refutation found. Thanks to Tanya!
0.19/0.53	% SZS status Theorem for E---3.1_6747
0.19/0.53	% SZS output start Proof for E---3.1_6747
0.19/0.53	thf(type_def_5, type, 'type/nums/num': $tType).
0.19/0.53	thf(type_def_6, type, 'type/realax/real': $tType).
0.19/0.53	thf(func_def_0, type, 'type/realax/real': $tType).
0.19/0.53	thf(func_def_1, type, 'type/nums/num': $tType).
0.19/0.53	thf(func_def_2, type, 'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real').
0.19/0.53	thf(func_def_3, type, 'const/realax/real_neg': 'type/realax/real' > 'type/realax/real').
0.19/0.53	thf(func_def_4, type, 'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real').
0.19/0.53	thf(func_def_5, type, 'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num').
0.19/0.53	thf(func_def_6, type, 'const/nums/BIT1': 'type/nums/num' > 'type/nums/num').
0.19/0.53	thf(func_def_7, type, 'const/nums/_0': 'type/nums/num').
0.19/0.53	thf(func_def_8, type, 'const/iterate/polynomial_function': ('type/realax/real' > 'type/realax/real') > $o).
0.19/0.53	thf(func_def_14, type, sK0: 'type/realax/real' > 'type/realax/real').
0.19/0.53	thf(func_def_16, type, ph2: !>[X0: $tType]:(X0)).
0.19/0.53	thf(func_def_17, type, sK3: 'type/realax/real').
0.19/0.53	thf(func_def_18, type, sK4: 'type/realax/real' > 'type/realax/real').
0.19/0.53	thf(func_def_19, type, sK5: 'type/realax/real').
0.19/0.53	thf(func_def_20, type, sK6: 'type/realax/real' > 'type/realax/real').
0.19/0.53	thf(func_def_21, type, sK7: 'type/realax/real' > 'type/realax/real' > 'type/realax/real').
0.19/0.53	thf(f127,plain,(
0.19/0.53	  $false),
0.19/0.53	  inference(avatar_sat_refutation,[],[f31,f40,f43,f79,f121,f126])).
0.19/0.53	thf(f126,plain,(
0.19/0.53	  ~spl1_1 | ~spl1_4),
0.19/0.53	  inference(avatar_contradiction_clause,[],[f125])).
0.19/0.53	thf(f125,plain,(
0.19/0.53	  $false | (~spl1_1 | ~spl1_4)),
0.19/0.53	  inference(trivial_inequality_removal,[],[f124])).
0.19/0.53	thf(f124,plain,(
0.19/0.53	  ($true = $false) | (~spl1_1 | ~spl1_4)),
0.19/0.53	  inference(forward_demodulation,[],[f26,f39])).
0.19/0.53	thf(f39,plain,(
0.19/0.53	  (('const/iterate/polynomial_function' @ sK0) = $false) | ~spl1_4),
0.19/0.53	  inference(avatar_component_clause,[],[f37])).
0.19/0.53	thf(f37,plain,(
0.19/0.53	  spl1_4 <=> (('const/iterate/polynomial_function' @ sK0) = $false)),
0.19/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
0.19/0.53	thf(f26,plain,(
0.19/0.53	  (('const/iterate/polynomial_function' @ sK0) = $true) | ~spl1_1),
0.19/0.53	  inference(avatar_component_clause,[],[f24])).
0.19/0.53	thf(f24,plain,(
0.19/0.53	  spl1_1 <=> (('const/iterate/polynomial_function' @ sK0) = $true)),
0.19/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
0.19/0.53	thf(f121,plain,(
0.19/0.53	  ~spl1_2 | ~spl1_4),
0.19/0.53	  inference(avatar_contradiction_clause,[],[f120])).
0.19/0.53	thf(f120,plain,(
0.19/0.53	  $false | (~spl1_2 | ~spl1_4)),
0.19/0.53	  inference(subsumption_resolution,[],[f118,f17])).
0.19/0.53	thf(f17,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_neg' @ ('const/realax/real_neg' @ X0)) = X0)) )),
0.19/0.53	  inference(cnf_transformation,[],[f5])).
0.19/0.53	thf(f5,axiom,(
0.19/0.53	  ! [X0 : 'type/realax/real'] : (('const/realax/real_neg' @ ('const/realax/real_neg' @ X0)) = X0)),
0.19/0.53	  file('/export/starexec/sandbox/tmp/tmp.YOly4gAdB9/E---3.1_6747.p','thm/calc_int/REAL_NEG_NEG_')).
0.19/0.53	thf(f118,plain,(
0.19/0.53	  ((sK0 @ (sK6 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) != ('const/realax/real_neg' @ ('const/realax/real_neg' @ (sK0 @ (sK6 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))))) | (~spl1_2 | ~spl1_4)),
0.19/0.53	  inference(superposition,[],[f106,f19])).
0.19/0.53	thf(f19,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_mul' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ X0) = X0)) )),
0.19/0.53	  inference(cnf_transformation,[],[f6])).
0.19/0.53	thf(f6,axiom,(
0.19/0.53	  ! [X0 : 'type/realax/real'] : (('const/realax/real_mul' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ X0) = X0)),
0.19/0.53	  file('/export/starexec/sandbox/tmp/tmp.YOly4gAdB9/E---3.1_6747.p','thm/realax/REAL_MUL_LID_')).
0.19/0.53	thf(f106,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_neg' @ ('const/realax/real_mul' @ X0 @ ('const/realax/real_neg' @ (sK0 @ (sK6 @ ('const/realax/real_neg' @ X0)))))) != (sK0 @ (sK6 @ ('const/realax/real_neg' @ X0))))) ) | (~spl1_2 | ~spl1_4)),
0.19/0.53	  inference(superposition,[],[f104,f20])).
0.19/0.53	thf(f20,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_mul' @ ('const/realax/real_neg' @ X1) @ X0) = ('const/realax/real_neg' @ ('const/realax/real_mul' @ X1 @ X0)))) )),
0.19/0.53	  inference(cnf_transformation,[],[f11])).
0.19/0.53	thf(f11,plain,(
0.19/0.53	  ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/realax/real_mul' @ ('const/realax/real_neg' @ X1) @ X0) = ('const/realax/real_neg' @ ('const/realax/real_mul' @ X1 @ X0)))),
0.19/0.53	  inference(rectify,[],[f1])).
0.19/0.53	thf(f1,axiom,(
0.19/0.53	  ! [X1 : 'type/realax/real',X0 : 'type/realax/real'] : (('const/realax/real_mul' @ ('const/realax/real_neg' @ X0) @ X1) = ('const/realax/real_neg' @ ('const/realax/real_mul' @ X0 @ X1)))),
0.19/0.53	  file('/export/starexec/sandbox/tmp/tmp.YOly4gAdB9/E---3.1_6747.p','thm/calc_int/REAL_MUL_LNEG_')).
0.19/0.53	thf(f104,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_mul' @ X0 @ ('const/realax/real_neg' @ (sK0 @ (sK6 @ X0)))) != (sK0 @ (sK6 @ X0)))) ) | (~spl1_2 | ~spl1_4)),
0.19/0.53	  inference(beta_eta_normalization,[],[f103])).
0.19/0.53	thf(f103,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((((^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ ('const/realax/real_neg' @ (sK0 @ Y0)))) @ (sK6 @ X0)) != (sK0 @ (sK6 @ X0)))) ) | (~spl1_2 | ~spl1_4)),
0.19/0.53	  inference(negative_extensionality,[],[f102])).
0.19/0.53	thf(f102,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((sK0 != (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ ('const/realax/real_neg' @ (sK0 @ Y0)))))) ) | (~spl1_2 | ~spl1_4)),
0.19/0.53	  inference(trivial_inequality_removal,[],[f98])).
0.19/0.53	thf(f98,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((sK0 != (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ ('const/realax/real_neg' @ (sK0 @ Y0))))) | ($true = $false)) ) | (~spl1_2 | ~spl1_4)),
0.19/0.53	  inference(constrained_superposition,[],[f39,f88])).
0.19/0.53	thf(f88,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ ('const/realax/real_neg' @ (sK0 @ Y0))))) = $true)) ) | ~spl1_2),
0.19/0.53	  inference(beta_eta_normalization,[],[f87])).
0.19/0.53	thf(f87,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ ((^[Y1 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y1))) @ Y0)))) = $true)) ) | ~spl1_2),
0.19/0.53	  inference(trivial_inequality_removal,[],[f84])).
0.19/0.53	thf(f84,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ ((^[Y1 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y1))) @ Y0)))) = $true) | ($true != $true)) ) | ~spl1_2),
0.19/0.53	  inference(superposition,[],[f16,f30])).
0.19/0.53	thf(f30,plain,(
0.19/0.53	  (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y0)))) = $true) | ~spl1_2),
0.19/0.53	  inference(avatar_component_clause,[],[f28])).
0.19/0.53	thf(f28,plain,(
0.19/0.53	  spl1_2 <=> (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y0)))) = $true)),
0.19/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
0.19/0.53	thf(f16,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : ((('const/iterate/polynomial_function' @ X0) != $true) | ($true = ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X1 @ (X0 @ Y0)))))) )),
0.19/0.53	  inference(cnf_transformation,[],[f13])).
0.19/0.53	thf(f13,plain,(
0.19/0.53	  ! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : ((('const/iterate/polynomial_function' @ X0) != $true) | ($true = ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X1 @ (X0 @ Y0))))))),
0.19/0.53	  inference(ennf_transformation,[],[f10])).
0.19/0.53	thf(f10,plain,(
0.19/0.53	  ! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : ((('const/iterate/polynomial_function' @ X0) = $true) => ($true = ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X1 @ (X0 @ Y0))))))),
0.19/0.53	  inference(fool_elimination,[],[f9])).
0.19/0.53	thf(f9,plain,(
0.19/0.53	  ! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) => ('const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : ('const/realax/real_mul' @ X1 @ (X0 @ X2)))))),
0.19/0.53	  inference(rectify,[],[f2])).
0.19/0.53	thf(f2,axiom,(
0.19/0.53	  ! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) => ('const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : ('const/realax/real_mul' @ X1 @ (X0 @ X2)))))),
0.19/0.53	  file('/export/starexec/sandbox/tmp/tmp.YOly4gAdB9/E---3.1_6747.p','thm/iterate/POLYNOMIAL_FUNCTION_LMUL_')).
0.19/0.53	thf(f79,plain,(
0.19/0.53	  ~spl1_1 | ~spl1_3),
0.19/0.53	  inference(avatar_contradiction_clause,[],[f78])).
0.19/0.53	thf(f78,plain,(
0.19/0.53	  $false | (~spl1_1 | ~spl1_3)),
0.19/0.53	  inference(trivial_inequality_removal,[],[f76])).
0.19/0.53	thf(f76,plain,(
0.19/0.53	  (('const/realax/real_neg' @ (sK0 @ (sK4 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) != ('const/realax/real_neg' @ (sK0 @ (sK4 @ ('const/realax/real_neg' @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | (~spl1_1 | ~spl1_3)),
0.19/0.53	  inference(superposition,[],[f74,f19])).
0.19/0.53	thf(f74,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_neg' @ ('const/realax/real_mul' @ X0 @ (sK0 @ (sK4 @ ('const/realax/real_neg' @ X0))))) != ('const/realax/real_neg' @ (sK0 @ (sK4 @ ('const/realax/real_neg' @ X0)))))) ) | (~spl1_1 | ~spl1_3)),
0.19/0.53	  inference(superposition,[],[f72,f20])).
0.19/0.53	thf(f72,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_mul' @ X0 @ (sK0 @ (sK4 @ X0))) != ('const/realax/real_neg' @ (sK0 @ (sK4 @ X0))))) ) | (~spl1_1 | ~spl1_3)),
0.19/0.53	  inference(beta_eta_normalization,[],[f71])).
0.19/0.53	thf(f71,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((((^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (sK0 @ Y0))) @ (sK4 @ X0)) != ((^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y0))) @ (sK4 @ X0)))) ) | (~spl1_1 | ~spl1_3)),
0.19/0.53	  inference(negative_extensionality,[],[f63])).
0.19/0.53	thf(f63,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : (((^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y0))) != (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (sK0 @ Y0))))) ) | (~spl1_1 | ~spl1_3)),
0.19/0.53	  inference(trivial_inequality_removal,[],[f58])).
0.19/0.53	thf(f58,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : (($true = $false) | ((^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y0))) != (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (sK0 @ Y0))))) ) | (~spl1_1 | ~spl1_3)),
0.19/0.53	  inference(constrained_superposition,[],[f35,f56])).
0.19/0.53	thf(f56,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (sK0 @ Y0)))) = $true)) ) | ~spl1_1),
0.19/0.53	  inference(trivial_inequality_removal,[],[f54])).
0.19/0.53	thf(f54,plain,(
0.19/0.53	  ( ! [X0 : 'type/realax/real'] : ((('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (sK0 @ Y0)))) = $true) | ($true != $true)) ) | ~spl1_1),
0.19/0.53	  inference(superposition,[],[f16,f26])).
0.19/0.53	thf(f35,plain,(
0.19/0.53	  (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y0)))) = $false) | ~spl1_3),
0.19/0.53	  inference(avatar_component_clause,[],[f33])).
0.19/0.53	thf(f33,plain,(
0.19/0.53	  spl1_3 <=> (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y0)))) = $false)),
0.19/0.53	  introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
0.19/0.53	thf(f43,plain,(
0.19/0.53	  ~spl1_2 | ~spl1_3),
0.19/0.53	  inference(avatar_contradiction_clause,[],[f42])).
0.19/0.53	thf(f42,plain,(
0.19/0.53	  $false | (~spl1_2 | ~spl1_3)),
0.19/0.53	  inference(trivial_inequality_removal,[],[f41])).
0.19/0.53	thf(f41,plain,(
0.19/0.53	  ($true = $false) | (~spl1_2 | ~spl1_3)),
0.19/0.53	  inference(forward_demodulation,[],[f30,f35])).
0.19/0.53	thf(f40,plain,(
0.19/0.53	  spl1_3 | spl1_4),
0.19/0.53	  inference(avatar_split_clause,[],[f22,f37,f33])).
0.19/0.53	thf(f22,plain,(
0.19/0.53	  (('const/iterate/polynomial_function' @ sK0) = $false) | (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y0)))) = $false)),
0.19/0.53	  inference(binary_proxy_clausification,[],[f18])).
0.19/0.53	thf(f18,plain,(
0.19/0.53	  (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y0)))) != ('const/iterate/polynomial_function' @ sK0))),
0.19/0.53	  inference(cnf_transformation,[],[f15])).
0.19/0.53	thf(f15,plain,(
0.19/0.53	  (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y0)))) != ('const/iterate/polynomial_function' @ sK0))),
0.19/0.53	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f12,f14])).
0.19/0.53	thf(f14,plain,(
0.19/0.53	  ? [X0 : 'type/realax/real' > 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) != ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (X0 @ Y0))))) => (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y0)))) != ('const/iterate/polynomial_function' @ sK0))),
0.19/0.53	  introduced(choice_axiom,[])).
0.19/0.53	thf(f12,plain,(
0.19/0.53	  ? [X0 : 'type/realax/real' > 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) != ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (X0 @ Y0)))))),
0.19/0.53	  inference(ennf_transformation,[],[f8])).
0.19/0.53	thf(f8,plain,(
0.19/0.53	  ~! [X0 : 'type/realax/real' > 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) = ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (X0 @ Y0)))))),
0.19/0.53	  inference(fool_elimination,[],[f4])).
0.19/0.53	thf(f4,negated_conjecture,(
0.19/0.53	  ~! [X0 : 'type/realax/real' > 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) = ('const/iterate/polynomial_function' @ (^[X1 : 'type/realax/real'] : ('const/realax/real_neg' @ (X0 @ X1)))))),
0.19/0.53	  inference(negated_conjecture,[],[f3])).
0.19/0.53	thf(f3,conjecture,(
0.19/0.53	  ! [X0 : 'type/realax/real' > 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) = ('const/iterate/polynomial_function' @ (^[X1 : 'type/realax/real'] : ('const/realax/real_neg' @ (X0 @ X1)))))),
0.19/0.53	  file('/export/starexec/sandbox/tmp/tmp.YOly4gAdB9/E---3.1_6747.p','thm/iterate/POLYNOMIAL_FUNCTION_NEG_')).
0.19/0.53	thf(f31,plain,(
0.19/0.53	  spl1_1 | spl1_2),
0.19/0.53	  inference(avatar_split_clause,[],[f21,f28,f24])).
0.19/0.53	thf(f21,plain,(
0.19/0.53	  (('const/iterate/polynomial_function' @ sK0) = $true) | (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_neg' @ (sK0 @ Y0)))) = $true)),
0.19/0.53	  inference(binary_proxy_clausification,[],[f18])).
0.19/0.53	% SZS output end Proof for E---3.1_6747
0.19/0.53	% (6861)------------------------------
0.19/0.53	% (6861)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.53	% (6861)Termination reason: Refutation
0.19/0.53	
0.19/0.53	% (6861)Memory used [KB]: 5628
0.19/0.53	% (6861)Time elapsed: 0.034 s
0.19/0.53	% (6861)Instructions burned: 16 (million)
0.19/0.53	% (6861)------------------------------
0.19/0.53	% (6861)------------------------------
0.19/0.53	% (6854)Success in time 0.042 s
0.19/0.53	EOF