0.04/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.10	% Command    : run_vampire %s %d THM
0.09/0.29	% Computer : n022.cluster.edu
0.09/0.29	% Model    : x86_64 x86_64
0.09/0.29	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.29	% Memory   : 8042.1875MB
0.09/0.29	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.29	% CPULimit   : 1920
0.09/0.30	% WCLimit    : 240
0.09/0.30	% DateTime   : Wed Jul 30 02:14:04 EDT 2025
0.09/0.30	% CPUTime    : 
0.09/0.31	This is a THF_ problem
0.09/0.31	Running higher-order theorem proving
0.16/0.31	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.b7MyrQN9f1/E---3.1_11852.p -m 16384 -t 240
0.16/0.33	% (11961)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_11852 for (2399ds/27Mi)
0.16/0.33	% (11963)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_11852 for (2399ds/2Mi)
0.16/0.33	% (11962)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_11852 for (2399ds/2Mi)
0.16/0.33	% (11965)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_11852 for (2399ds/18Mi)
0.16/0.33	% (11964)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_11852 for (2399ds/275Mi)
0.16/0.33	% (11959)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_11852 for (2399ds/183Mi)
0.16/0.33	% (11960)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_11852 for (2399ds/4Mi)
0.16/0.33	% (11963)Instruction limit reached!
0.16/0.33	% (11963)------------------------------
0.16/0.33	% (11963)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.33	% (11963)Termination reason: Unknown
0.16/0.33	% (11963)Termination phase: Saturation
0.16/0.33	
0.16/0.33	% (11963)Memory used [KB]: 5500
0.16/0.33	% (11963)Time elapsed: 0.003 s
0.16/0.33	% (11963)Instructions burned: 2 (million)
0.16/0.33	% (11963)------------------------------
0.16/0.33	% (11963)------------------------------
0.16/0.33	% (11962)Instruction limit reached!
0.16/0.33	% (11962)------------------------------
0.16/0.33	% (11962)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.33	% (11961)Refutation not found, incomplete strategy
0.16/0.33	% (11961)------------------------------
0.16/0.33	% (11961)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.33	% (11962)Termination reason: Unknown
0.16/0.33	% (11961)Termination reason: Refutation not found, incomplete strategy
0.16/0.33	
0.16/0.33	
0.16/0.33	% (11962)Termination phase: Saturation
0.16/0.33	
0.16/0.33	% (11961)Memory used [KB]: 5500
0.16/0.33	% (11962)Memory used [KB]: 5500
0.16/0.33	% (11961)Time elapsed: 0.004 s
0.16/0.33	% (11962)Time elapsed: 0.004 s
0.16/0.33	% (11961)Instructions burned: 1 (million)
0.16/0.33	% (11962)Instructions burned: 3 (million)
0.16/0.33	% (11961)------------------------------
0.16/0.33	% (11961)------------------------------
0.16/0.33	% (11962)------------------------------
0.16/0.33	% (11962)------------------------------
0.16/0.34	% (11964)Refutation not found, incomplete strategy
0.16/0.34	% (11964)------------------------------
0.16/0.34	% (11964)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.34	% (11964)Termination reason: Refutation not found, incomplete strategy
0.16/0.34	
0.16/0.34	
0.16/0.34	% (11964)Memory used [KB]: 5500
0.16/0.34	% (11964)Time elapsed: 0.005 s
0.16/0.34	% (11964)Instructions burned: 3 (million)
0.16/0.34	% (11964)------------------------------
0.16/0.34	% (11964)------------------------------
0.16/0.34	% (11960)Instruction limit reached!
0.16/0.34	% (11960)------------------------------
0.16/0.34	% (11960)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.34	% (11960)Termination reason: Unknown
0.16/0.34	% (11960)Termination phase: Saturation
0.16/0.34	
0.16/0.34	% (11960)Memory used [KB]: 5500
0.16/0.34	% (11960)Time elapsed: 0.005 s
0.16/0.34	% (11960)Instructions burned: 4 (million)
0.16/0.34	% (11960)------------------------------
0.16/0.34	% (11960)------------------------------
0.16/0.34	% (11959)First to succeed.
0.16/0.34	% (11965)Also succeeded, but the first one will report.
0.16/0.34	% (11959)Refutation found. Thanks to Tanya!
0.16/0.34	% SZS status Theorem for E---3.1_11852
0.16/0.34	% SZS output start Proof for E---3.1_11852
0.16/0.34	thf(func_def_0, type, cN: $i > $i).
0.16/0.34	thf(func_def_1, type, cM: $i > $i).
0.16/0.34	thf(func_def_5, type, sK0: ($i > $i) > $o).
0.16/0.34	thf(func_def_8, type, ph2: !>[X0: $tType]:(X0)).
0.16/0.34	thf(f92,plain,(
0.16/0.34	  $false),
0.16/0.34	  inference(avatar_sat_refutation,[],[f24,f33,f39,f73,f91])).
0.16/0.34	thf(f91,plain,(
0.16/0.34	  spl1_3 | ~spl1_4),
0.16/0.34	  inference(avatar_contradiction_clause,[],[f90])).
0.16/0.34	thf(f90,plain,(
0.16/0.34	  $false | (spl1_3 | ~spl1_4)),
0.16/0.34	  inference(subsumption_resolution,[],[f89,f48])).
0.16/0.34	thf(f48,plain,(
0.16/0.34	  ( ! [X0 : $i] : (((cN @ X0) = (cM @ X0))) )),
0.16/0.34	  inference(leibniz_equality_elimination,[],[f14])).
0.16/0.34	thf(f14,plain,(
0.16/0.34	  ( ! [X0 : $i > $o,X1 : $i] : (($true = (X0 @ (cN @ X1))) | ((X0 @ (cM @ X1)) = $false)) )),
0.16/0.34	  inference(binary_proxy_clausification,[],[f11])).
0.16/0.34	thf(f11,plain,(
0.16/0.34	  ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ (cN @ X1)) = (X0 @ (cM @ X1)))) )),
0.16/0.34	  inference(cnf_transformation,[],[f9])).
0.16/0.34	thf(f9,plain,(
0.16/0.34	  ! [X0 : $i > $o,X1] : ((X0 @ (cN @ X1)) = (X0 @ (cM @ X1))) & ((sK0 @ cM) != (sK0 @ cN))),
0.16/0.34	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])).
0.16/0.34	thf(f8,plain,(
0.16/0.34	  ? [X2 : ($i > $i) > $o] : ((X2 @ cM) != (X2 @ cN)) => ((sK0 @ cM) != (sK0 @ cN))),
0.16/0.34	  introduced(choice_axiom,[])).
0.16/0.34	thf(f7,plain,(
0.16/0.34	  ! [X0 : $i > $o,X1] : ((X0 @ (cN @ X1)) = (X0 @ (cM @ X1))) & ? [X2 : ($i > $i) > $o] : ((X2 @ cM) != (X2 @ cN))),
0.16/0.34	  inference(rectify,[],[f6])).
0.16/0.34	thf(f6,plain,(
0.16/0.34	  ! [X1 : $i > $o,X0] : ((X1 @ (cN @ X0)) = (X1 @ (cM @ X0))) & ? [X2 : ($i > $i) > $o] : ((X2 @ cM) != (X2 @ cN))),
0.16/0.34	  inference(ennf_transformation,[],[f5])).
0.16/0.34	thf(f5,plain,(
0.16/0.34	  ~(! [X1 : $i > $o,X0] : ((X1 @ (cN @ X0)) = (X1 @ (cM @ X0))) => ! [X2 : ($i > $i) > $o] : ((X2 @ cM) = (X2 @ cN)))),
0.16/0.34	  inference(fool_elimination,[],[f4])).
0.16/0.34	thf(f4,plain,(
0.16/0.34	  ~(! [X0,X1 : $i > $o] : ((X1 @ (cM @ X0)) <=> (X1 @ (cN @ X0))) => ! [X2 : ($i > $i) > $o] : ((X2 @ cN) <=> (X2 @ cM)))),
0.16/0.34	  inference(rectify,[],[f2])).
0.16/0.34	thf(f2,negated_conjecture,(
0.16/0.34	  ~(! [X1,X2 : $i > $o] : ((X2 @ (cM @ X1)) <=> (X2 @ (cN @ X1))) => ! [X0 : ($i > $i) > $o] : ((X0 @ cN) <=> (X0 @ cM)))),
0.16/0.34	  inference(negated_conjecture,[],[f1])).
0.16/0.34	thf(f1,conjecture,(
0.16/0.34	  ! [X1,X2 : $i > $o] : ((X2 @ (cM @ X1)) <=> (X2 @ (cN @ X1))) => ! [X0 : ($i > $i) > $o] : ((X0 @ cN) <=> (X0 @ cM))),
0.16/0.34	  file('/export/starexec/sandbox/tmp/tmp.b7MyrQN9f1/E---3.1_11852.p',cEXT_A_LEIB2)).
0.16/0.34	thf(f89,plain,(
0.16/0.34	  ((cM @ sK4) != (cN @ sK4)) | (spl1_3 | ~spl1_4)),
0.16/0.34	  inference(negative_extensionality,[],[f88])).
0.16/0.34	thf(f88,plain,(
0.16/0.34	  (cN != cM) | (spl1_3 | ~spl1_4)),
0.16/0.34	  inference(trivial_inequality_removal,[],[f79])).
0.16/0.34	thf(f79,plain,(
0.16/0.34	  (cN != cM) | ($false != $false) | (spl1_3 | ~spl1_4)),
0.16/0.34	  inference(constrained_superposition,[],[f27,f32])).
0.16/0.34	thf(f32,plain,(
0.16/0.34	  ((sK0 @ cM) = $false) | ~spl1_4),
0.16/0.34	  inference(avatar_component_clause,[],[f30])).
0.16/0.34	thf(f30,plain,(
0.16/0.34	  spl1_4 <=> ((sK0 @ cM) = $false)),
0.16/0.34	  introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
0.16/0.34	thf(f27,plain,(
0.16/0.34	  ($false != (sK0 @ cN)) | spl1_3),
0.16/0.34	  inference(avatar_component_clause,[],[f26])).
0.16/0.34	thf(f26,plain,(
0.16/0.34	  spl1_3 <=> ($false = (sK0 @ cN))),
0.16/0.34	  introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
0.16/0.34	thf(f73,plain,(
0.16/0.34	  ~spl1_1 | ~spl1_3),
0.16/0.34	  inference(avatar_contradiction_clause,[],[f72])).
0.16/0.34	thf(f72,plain,(
0.16/0.34	  $false | (~spl1_1 | ~spl1_3)),
0.16/0.34	  inference(trivial_inequality_removal,[],[f71])).
0.16/0.34	thf(f71,plain,(
0.16/0.34	  ((cN @ sK3) != (cN @ sK3)) | (~spl1_1 | ~spl1_3)),
0.16/0.34	  inference(superposition,[],[f44,f48])).
0.16/0.34	thf(f44,plain,(
0.16/0.34	  ((cM @ sK3) != (cN @ sK3)) | (~spl1_1 | ~spl1_3)),
0.16/0.34	  inference(negative_extensionality,[],[f43])).
0.16/0.34	thf(f43,plain,(
0.16/0.34	  (cN != cM) | (~spl1_1 | ~spl1_3)),
0.16/0.34	  inference(trivial_inequality_removal,[],[f41])).
0.16/0.34	thf(f41,plain,(
0.16/0.34	  ($true = $false) | (cN != cM) | (~spl1_1 | ~spl1_3)),
0.16/0.34	  inference(constrained_superposition,[],[f28,f19])).
0.16/0.34	thf(f19,plain,(
0.16/0.34	  ((sK0 @ cM) = $true) | ~spl1_1),
0.16/0.34	  inference(avatar_component_clause,[],[f17])).
0.16/0.34	thf(f17,plain,(
0.16/0.34	  spl1_1 <=> ((sK0 @ cM) = $true)),
0.16/0.34	  introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
0.16/0.34	thf(f28,plain,(
0.16/0.34	  ($false = (sK0 @ cN)) | ~spl1_3),
0.16/0.34	  inference(avatar_component_clause,[],[f26])).
0.16/0.34	thf(f39,plain,(
0.16/0.34	  ~spl1_2 | ~spl1_3),
0.16/0.34	  inference(avatar_contradiction_clause,[],[f38])).
0.16/0.34	thf(f38,plain,(
0.16/0.34	  $false | (~spl1_2 | ~spl1_3)),
0.16/0.34	  inference(trivial_inequality_removal,[],[f35])).
0.16/0.34	thf(f35,plain,(
0.16/0.34	  ($true = $false) | (~spl1_2 | ~spl1_3)),
0.16/0.34	  inference(superposition,[],[f23,f28])).
0.16/0.34	thf(f23,plain,(
0.16/0.34	  ($true = (sK0 @ cN)) | ~spl1_2),
0.16/0.34	  inference(avatar_component_clause,[],[f21])).
0.16/0.34	thf(f21,plain,(
0.16/0.34	  spl1_2 <=> ($true = (sK0 @ cN))),
0.16/0.34	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
0.16/0.34	thf(f33,plain,(
0.16/0.34	  spl1_3 | spl1_4),
0.16/0.34	  inference(avatar_split_clause,[],[f13,f30,f26])).
0.16/0.34	thf(f13,plain,(
0.16/0.34	  ($false = (sK0 @ cN)) | ((sK0 @ cM) = $false)),
0.16/0.34	  inference(binary_proxy_clausification,[],[f10])).
0.16/0.34	thf(f10,plain,(
0.16/0.34	  ((sK0 @ cM) != (sK0 @ cN))),
0.16/0.34	  inference(cnf_transformation,[],[f9])).
0.16/0.34	thf(f24,plain,(
0.16/0.34	  spl1_1 | spl1_2),
0.16/0.34	  inference(avatar_split_clause,[],[f12,f21,f17])).
0.16/0.34	thf(f12,plain,(
0.16/0.34	  ($true = (sK0 @ cN)) | ((sK0 @ cM) = $true)),
0.16/0.34	  inference(binary_proxy_clausification,[],[f10])).
0.16/0.34	% SZS output end Proof for E---3.1_11852
0.16/0.34	% (11959)------------------------------
0.16/0.34	% (11959)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.16/0.34	% (11959)Termination reason: Refutation
0.16/0.34	
0.16/0.34	% (11959)Memory used [KB]: 5500
0.16/0.34	% (11959)Time elapsed: 0.006 s
0.16/0.34	% (11959)Instructions burned: 4 (million)
0.16/0.34	% (11959)------------------------------
0.16/0.34	% (11959)------------------------------
0.16/0.34	% (11958)Success in time 0.018 s
0.16/0.34	EOF