0.12/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command    : run_vampire %s %d THM
0.14/0.35	% Computer : n023.cluster.edu
0.14/0.35	% Model    : x86_64 x86_64
0.14/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory   : 8042.1875MB
0.14/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 1920
0.14/0.35	% WCLimit    : 240
0.14/0.35	% DateTime   : Wed Jul 30 02:14:49 EDT 2025
0.14/0.35	% CPUTime    : 
0.14/0.37	This is a THF_ problem
0.14/0.37	Running higher-order theorem proving
0.14/0.38	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.mnVDyuDNWL/E---3.1_4026.p -m 16384 -t 240
0.14/0.40	% (4138)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_4026 for (2399ds/275Mi)
0.14/0.40	% (4136)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_4026 for (2399ds/2Mi)
0.14/0.40	% (4133)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_4026 for (2399ds/183Mi)
0.14/0.40	% (4136)Instruction limit reached!
0.14/0.40	% (4136)------------------------------
0.14/0.40	% (4136)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.14/0.40	% (4136)Termination reason: Unknown
0.14/0.40	% (4136)Termination phase: Saturation
0.14/0.40	
0.14/0.40	% (4136)Memory used [KB]: 5500
0.14/0.40	% (4136)Time elapsed: 0.003 s
0.14/0.40	% (4136)Instructions burned: 3 (million)
0.14/0.40	% (4136)------------------------------
0.14/0.40	% (4136)------------------------------
0.14/0.40	% (4134)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_4026 for (2399ds/4Mi)
0.14/0.40	% (4134)Instruction limit reached!
0.14/0.40	% (4134)------------------------------
0.14/0.40	% (4134)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.14/0.40	% (4134)Termination reason: Unknown
0.14/0.40	% (4134)Termination phase: Saturation
0.14/0.40	
0.14/0.41	% (4134)Memory used [KB]: 5500
0.14/0.41	% (4134)Time elapsed: 0.005 s
0.14/0.41	% (4134)Instructions burned: 4 (million)
0.14/0.41	% (4134)------------------------------
0.14/0.41	% (4134)------------------------------
0.14/0.41	% (4138)First to succeed.
0.14/0.41	% (4139)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_4026 for (2399ds/18Mi)
0.14/0.41	% (4138)Refutation found. Thanks to Tanya!
0.14/0.41	% SZS status Theorem for E---3.1_4026
0.14/0.41	% SZS output start Proof for E---3.1_4026
0.14/0.41	thf(type_def_5, type, a: $tType).
0.14/0.41	thf(func_def_0, type, a: $tType).
0.14/0.41	thf(func_def_4, type, sK0: a > a > $o).
0.14/0.41	thf(func_def_5, type, sK1: a > $o).
0.14/0.41	thf(func_def_6, type, sK2: a).
0.14/0.41	thf(func_def_7, type, sK3: (a > $o) > a).
0.14/0.41	thf(func_def_8, type, sK4: a > a).
0.14/0.41	thf(func_def_11, type, ph6: !>[X0: $tType]:(X0)).
0.14/0.41	thf(f194,plain,(
0.14/0.41	  $false),
0.14/0.41	  inference(avatar_sat_refutation,[],[f175,f183,f193])).
0.14/0.41	thf(f193,plain,(
0.14/0.41	  spl5_5 | ~spl5_10),
0.14/0.41	  inference(avatar_split_clause,[],[f190,f172,f109])).
0.14/0.41	thf(f109,plain,(
0.14/0.41	  spl5_5 <=> ! [X0 : a] : ((sK1 @ X0) = $true)),
0.14/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl5_5])])).
0.14/0.41	thf(f172,plain,(
0.14/0.41	  spl5_10 <=> ($true = (sK1 @ (sK3 @ (^[Y0 : a]: (~ (sK1 @ Y0))))))),
0.14/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl5_10])])).
0.14/0.41	thf(f190,plain,(
0.14/0.41	  ( ! [X0 : a] : (((sK1 @ X0) = $true)) ) | ~spl5_10),
0.14/0.41	  inference(trivial_inequality_removal,[],[f189])).
0.14/0.41	thf(f189,plain,(
0.14/0.41	  ( ! [X0 : a] : (($true = $false) | ((sK1 @ X0) = $true)) ) | ~spl5_10),
0.14/0.41	  inference(superposition,[],[f28,f174])).
0.14/0.41	thf(f174,plain,(
0.14/0.41	  ($true = (sK1 @ (sK3 @ (^[Y0 : a]: (~ (sK1 @ Y0)))))) | ~spl5_10),
0.14/0.41	  inference(avatar_component_clause,[],[f172])).
0.14/0.41	thf(f28,plain,(
0.14/0.41	  ( ! [X6 : a,X9 : a > $o] : (((X9 @ (sK3 @ (^[Y0 : a]: (~ (X9 @ Y0))))) = $false) | ($true = (X9 @ X6))) )),
0.14/0.41	  inference(not_proxy_clausification,[],[f27])).
0.14/0.41	thf(f27,plain,(
0.14/0.41	  ( ! [X6 : a,X9 : a > $o] : (($true = (~ (X9 @ (sK3 @ (^[Y0 : a]: (~ (X9 @ Y0))))))) | ($true = (X9 @ X6))) )),
0.14/0.41	  inference(not_proxy_clausification,[],[f26])).
0.14/0.41	thf(f26,plain,(
0.14/0.41	  ( ! [X6 : a,X9 : a > $o] : (((~ (X9 @ X6)) != $true) | ($true = (~ (X9 @ (sK3 @ (^[Y0 : a]: (~ (X9 @ Y0)))))))) )),
0.14/0.41	  inference(beta_eta_normalization,[],[f23])).
0.14/0.41	thf(f23,plain,(
0.14/0.41	  ( ! [X6 : a,X9 : a > $o] : (($true = ((^[Y0 : a]: (~ (X9 @ Y0))) @ (sK3 @ (^[Y0 : a]: (~ (X9 @ Y0)))))) | ($true != ((^[Y0 : a]: (~ (X9 @ Y0))) @ X6))) )),
0.14/0.41	  inference(primitive_instantiation,[],[f18])).
0.14/0.41	thf(f18,plain,(
0.14/0.41	  ( ! [X3 : a > $o,X6 : a] : (($true = (X3 @ (sK3 @ X3))) | ($true != (X3 @ X6))) )),
0.14/0.41	  inference(cnf_transformation,[],[f14])).
0.14/0.41	thf(f14,plain,(
0.14/0.41	  ($true != (sK1 @ sK2)) & ! [X3 : a > $o] : ((($true = (X3 @ (sK3 @ X3))) & ! [X5 : a] : (((sK0 @ X5 @ (sK3 @ X3)) != $true) | ($true != (X3 @ X5)))) | ! [X6 : a] : ($true != (X3 @ X6))) & ! [X7 : a] : ((($true != (sK1 @ (sK4 @ X7))) & ($true = (sK0 @ (sK4 @ X7) @ X7))) | ($true = (sK1 @ X7)))),
0.14/0.41	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f9,f13,f12,f11,f10])).
0.14/0.41	thf(f10,plain,(
0.14/0.41	  ? [X0 : a > a > $o,X1 : a > $o] : (? [X2 : a] : ((X1 @ X2) != $true) & ! [X3 : a > $o] : (? [X4 : a] : (((X3 @ X4) = $true) & ! [X5 : a] : (($true != (X0 @ X5 @ X4)) | ($true != (X3 @ X5)))) | ! [X6 : a] : ($true != (X3 @ X6))) & ! [X7 : a] : (? [X8 : a] : (((X1 @ X8) != $true) & ($true = (X0 @ X8 @ X7))) | ($true = (X1 @ X7)))) => (? [X2 : a] : ($true != (sK1 @ X2)) & ! [X3 : a > $o] : (? [X4 : a] : (((X3 @ X4) = $true) & ! [X5 : a] : (($true != (sK0 @ X5 @ X4)) | ($true != (X3 @ X5)))) | ! [X6 : a] : ($true != (X3 @ X6))) & ! [X7 : a] : (? [X8 : a] : (($true != (sK1 @ X8)) & ($true = (sK0 @ X8 @ X7))) | ($true = (sK1 @ X7))))),
0.14/0.41	  introduced(choice_axiom,[])).
0.14/0.41	thf(f11,plain,(
0.14/0.41	  ? [X2 : a] : ($true != (sK1 @ X2)) => ($true != (sK1 @ sK2))),
0.14/0.41	  introduced(choice_axiom,[])).
0.14/0.41	thf(f12,plain,(
0.14/0.41	  ! [X3 : a > $o] : (? [X4 : a] : (((X3 @ X4) = $true) & ! [X5 : a] : (($true != (sK0 @ X5 @ X4)) | ($true != (X3 @ X5)))) => (($true = (X3 @ (sK3 @ X3))) & ! [X5 : a] : (((sK0 @ X5 @ (sK3 @ X3)) != $true) | ($true != (X3 @ X5)))))),
0.14/0.41	  introduced(choice_axiom,[])).
0.14/0.41	thf(f13,plain,(
0.14/0.41	  ! [X7 : a] : (? [X8 : a] : (($true != (sK1 @ X8)) & ($true = (sK0 @ X8 @ X7))) => (($true != (sK1 @ (sK4 @ X7))) & ($true = (sK0 @ (sK4 @ X7) @ X7))))),
0.14/0.41	  introduced(choice_axiom,[])).
0.14/0.41	thf(f9,plain,(
0.14/0.41	  ? [X0 : a > a > $o,X1 : a > $o] : (? [X2 : a] : ((X1 @ X2) != $true) & ! [X3 : a > $o] : (? [X4 : a] : (((X3 @ X4) = $true) & ! [X5 : a] : (($true != (X0 @ X5 @ X4)) | ($true != (X3 @ X5)))) | ! [X6 : a] : ($true != (X3 @ X6))) & ! [X7 : a] : (? [X8 : a] : (((X1 @ X8) != $true) & ($true = (X0 @ X8 @ X7))) | ($true = (X1 @ X7))))),
0.14/0.41	  inference(rectify,[],[f8])).
0.14/0.41	thf(f8,plain,(
0.14/0.41	  ? [X1 : a > a > $o,X0 : a > $o] : (? [X8 : a] : ($true != (X0 @ X8)) & ! [X2 : a > $o] : (? [X4 : a] : (($true = (X2 @ X4)) & ! [X5 : a] : (($true != (X1 @ X5 @ X4)) | ($true != (X2 @ X5)))) | ! [X3 : a] : ($true != (X2 @ X3))) & ! [X6 : a] : (? [X7 : a] : (($true != (X0 @ X7)) & ($true = (X1 @ X7 @ X6))) | ($true = (X0 @ X6))))),
0.14/0.41	  inference(flattening,[],[f7])).
0.14/0.41	thf(f7,plain,(
0.14/0.41	  ? [X0 : a > $o,X1 : a > a > $o] : (? [X8 : a] : ($true != (X0 @ X8)) & (! [X6 : a] : (? [X7 : a] : (($true != (X0 @ X7)) & ($true = (X1 @ X7 @ X6))) | ($true = (X0 @ X6))) & ! [X2 : a > $o] : (? [X4 : a] : (($true = (X2 @ X4)) & ! [X5 : a] : (($true != (X1 @ X5 @ X4)) | ($true != (X2 @ X5)))) | ! [X3 : a] : ($true != (X2 @ X3)))))),
0.14/0.41	  inference(ennf_transformation,[],[f6])).
0.14/0.41	thf(f6,plain,(
0.14/0.41	  ~! [X0 : a > $o,X1 : a > a > $o] : ((! [X6 : a] : (! [X7 : a] : (($true = (X1 @ X7 @ X6)) => ($true = (X0 @ X7))) => ($true = (X0 @ X6))) & ! [X2 : a > $o] : (? [X3 : a] : ($true = (X2 @ X3)) => ? [X4 : a] : (! [X5 : a] : (($true = (X1 @ X5 @ X4)) => ($true != (X2 @ X5))) & ($true = (X2 @ X4))))) => ! [X8 : a] : ($true = (X0 @ X8)))),
0.14/0.41	  inference(flattening,[],[f5])).
0.14/0.41	thf(f5,plain,(
0.14/0.41	  ~! [X0 : a > $o,X1 : a > a > $o] : ((! [X2 : a > $o] : (? [X3 : a] : ($true = (X2 @ X3)) => ? [X4 : a] : (($true = (X2 @ X4)) & ! [X5 : a] : (($true = (X1 @ X5 @ X4)) => ~($true = (X2 @ X5))))) & ! [X6 : a] : (! [X7 : a] : (($true = (X1 @ X7 @ X6)) => ($true = (X0 @ X7))) => ($true = (X0 @ X6)))) => ! [X8 : a] : ($true = (X0 @ X8)))),
0.14/0.41	  inference(fool_elimination,[],[f4])).
0.14/0.41	thf(f4,plain,(
0.14/0.41	  ~! [X0 : a > $o,X1 : a > a > $o] : ((! [X2 : a > $o] : (? [X3 : a] : (X2 @ X3) => ? [X4 : a] : ((X2 @ X4) & ! [X5 : a] : ((X1 @ X5 @ X4) => ~(X2 @ X5)))) & ! [X6 : a] : (! [X7 : a] : ((X1 @ X7 @ X6) => (X0 @ X7)) => (X0 @ X6))) => ! [X8 : a] : (X0 @ X8))),
0.14/0.41	  inference(rectify,[],[f2])).
0.14/0.41	thf(f2,negated_conjecture,(
0.14/0.41	  ~! [X1 : a > $o,X0 : a > a > $o] : ((! [X4 : a > $o] : (? [X6 : a] : (X4 @ X6) => ? [X3 : a] : ((X4 @ X3) & ! [X5 : a] : ((X0 @ X5 @ X3) => ~(X4 @ X5)))) & ! [X2 : a] : (! [X3 : a] : ((X0 @ X3 @ X2) => (X1 @ X3)) => (X1 @ X2))) => ! [X2 : a] : (X1 @ X2))),
0.14/0.41	  inference(negated_conjecture,[],[f1])).
0.14/0.41	thf(f1,conjecture,(
0.14/0.41	  ! [X1 : a > $o,X0 : a > a > $o] : ((! [X4 : a > $o] : (? [X6 : a] : (X4 @ X6) => ? [X3 : a] : ((X4 @ X3) & ! [X5 : a] : ((X0 @ X5 @ X3) => ~(X4 @ X5)))) & ! [X2 : a] : (! [X3 : a] : ((X0 @ X3 @ X2) => (X1 @ X3)) => (X1 @ X2))) => ! [X2 : a] : (X1 @ X2))),
0.14/0.41	  file('/export/starexec/sandbox/tmp/tmp.mnVDyuDNWL/E---3.1_4026.p',cTRANS_IND)).
0.14/0.41	thf(f183,plain,(
0.14/0.41	  ~spl5_5),
0.14/0.41	  inference(avatar_contradiction_clause,[],[f182])).
0.14/0.41	thf(f182,plain,(
0.14/0.41	  $false | ~spl5_5),
0.14/0.41	  inference(trivial_inequality_removal,[],[f178])).
0.14/0.41	thf(f178,plain,(
0.14/0.41	  ($true != $true) | ~spl5_5),
0.14/0.41	  inference(superposition,[],[f19,f110])).
0.14/0.41	thf(f110,plain,(
0.14/0.41	  ( ! [X0 : a] : (((sK1 @ X0) = $true)) ) | ~spl5_5),
0.14/0.41	  inference(avatar_component_clause,[],[f109])).
0.14/0.41	thf(f19,plain,(
0.14/0.41	  ($true != (sK1 @ sK2))),
0.14/0.41	  inference(cnf_transformation,[],[f14])).
0.14/0.41	thf(f175,plain,(
0.14/0.41	  spl5_10 | spl5_5),
0.14/0.41	  inference(avatar_split_clause,[],[f162,f109,f172])).
0.14/0.41	thf(f162,plain,(
0.14/0.41	  ( ! [X0 : a] : (($true = (sK1 @ (sK3 @ (^[Y0 : a]: (~ (sK1 @ Y0)))))) | ((sK1 @ X0) = $true)) )),
0.14/0.41	  inference(trivial_inequality_removal,[],[f161])).
0.14/0.41	thf(f161,plain,(
0.14/0.41	  ( ! [X0 : a] : (((sK1 @ X0) = $true) | ($true != $true) | ($true = (sK1 @ (sK3 @ (^[Y0 : a]: (~ (sK1 @ Y0))))))) )),
0.14/0.41	  inference(duplicate_literal_removal,[],[f149])).
0.14/0.41	thf(f149,plain,(
0.14/0.41	  ( ! [X0 : a] : (($true != $true) | ((sK1 @ X0) = $true) | ($true = (sK1 @ (sK3 @ (^[Y0 : a]: (~ (sK1 @ Y0)))))) | ($true = (sK1 @ (sK3 @ (^[Y0 : a]: (~ (sK1 @ Y0))))))) )),
0.14/0.41	  inference(superposition,[],[f16,f90])).
0.14/0.41	thf(f90,plain,(
0.14/0.41	  ( ! [X1 : a,X4 : a > $o] : (($true = (X4 @ (sK4 @ (sK3 @ (^[Y0 : a]: (~ (X4 @ Y0))))))) | ($true = (X4 @ X1)) | ($true = (sK1 @ (sK3 @ (^[Y0 : a]: (~ (X4 @ Y0))))))) )),
0.14/0.41	  inference(not_proxy_clausification,[],[f89])).
0.14/0.41	thf(f89,plain,(
0.14/0.41	  ( ! [X1 : a,X4 : a > $o] : (($true != (~ (X4 @ (sK4 @ (sK3 @ (^[Y0 : a]: (~ (X4 @ Y0)))))))) | ($true = (X4 @ X1)) | ($true = (sK1 @ (sK3 @ (^[Y0 : a]: (~ (X4 @ Y0))))))) )),
0.14/0.41	  inference(not_proxy_clausification,[],[f88])).
0.14/0.41	thf(f88,plain,(
0.14/0.41	  ( ! [X1 : a,X4 : a > $o] : (($true != (~ (X4 @ X1))) | ($true != (~ (X4 @ (sK4 @ (sK3 @ (^[Y0 : a]: (~ (X4 @ Y0)))))))) | ($true = (sK1 @ (sK3 @ (^[Y0 : a]: (~ (X4 @ Y0))))))) )),
0.14/0.41	  inference(beta_eta_normalization,[],[f81])).
0.14/0.41	thf(f81,plain,(
0.14/0.41	  ( ! [X1 : a,X4 : a > $o] : (($true != ((^[Y0 : a]: (~ (X4 @ Y0))) @ (sK4 @ (sK3 @ (^[Y0 : a]: (~ (X4 @ Y0))))))) | ($true != ((^[Y0 : a]: (~ (X4 @ Y0))) @ X1)) | ($true = (sK1 @ (sK3 @ (^[Y0 : a]: (~ (X4 @ Y0))))))) )),
0.14/0.41	  inference(primitive_instantiation,[],[f37])).
0.14/0.41	thf(f37,plain,(
0.14/0.41	  ( ! [X0 : a > $o,X1 : a] : (($true != (X0 @ (sK4 @ (sK3 @ X0)))) | ((X0 @ X1) != $true) | ($true = (sK1 @ (sK3 @ X0)))) )),
0.14/0.41	  inference(trivial_inequality_removal,[],[f32])).
0.14/0.41	thf(f32,plain,(
0.14/0.41	  ( ! [X0 : a > $o,X1 : a] : (($true != (X0 @ (sK4 @ (sK3 @ X0)))) | ((X0 @ X1) != $true) | ($true != $true) | ($true = (sK1 @ (sK3 @ X0)))) )),
0.14/0.41	  inference(superposition,[],[f17,f15])).
0.14/0.41	thf(f15,plain,(
0.14/0.41	  ( ! [X7 : a] : (($true = (sK0 @ (sK4 @ X7) @ X7)) | ($true = (sK1 @ X7))) )),
0.14/0.41	  inference(cnf_transformation,[],[f14])).
0.14/0.41	thf(f17,plain,(
0.14/0.41	  ( ! [X3 : a > $o,X6 : a,X5 : a] : (((sK0 @ X5 @ (sK3 @ X3)) != $true) | ($true != (X3 @ X5)) | ($true != (X3 @ X6))) )),
0.14/0.41	  inference(cnf_transformation,[],[f14])).
0.14/0.41	thf(f16,plain,(
0.14/0.41	  ( ! [X7 : a] : (($true != (sK1 @ (sK4 @ X7))) | ($true = (sK1 @ X7))) )),
0.14/0.41	  inference(cnf_transformation,[],[f14])).
0.14/0.41	% SZS output end Proof for E---3.1_4026
0.14/0.41	% (4138)------------------------------
0.14/0.41	% (4138)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.14/0.41	% (4138)Termination reason: Refutation
0.14/0.41	
0.14/0.41	% (4138)Memory used [KB]: 5628
0.14/0.41	% (4138)Time elapsed: 0.014 s
0.14/0.41	% (4138)Instructions burned: 16 (million)
0.14/0.41	% (4138)------------------------------
0.14/0.41	% (4138)------------------------------
0.14/0.41	% (4132)Success in time 0.027 s
0.14/0.41	EOF