0.07/0.14	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
0.14/0.36	% Computer : n001.cluster.edu
0.14/0.36	% Model    : x86_64 x86_64
0.14/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.36	% Memory   : 8042.1875MB
0.14/0.36	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.36	% CPULimit   : 300
0.14/0.36	% WCLimit    : 300
0.14/0.36	% DateTime   : Fri Jul  5 04:23:54 EDT 2024
0.14/0.37	% CPUTime    : 
0.14/0.38	This is a THF_ problem
0.14/0.38	Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000  -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.14/0.39	% (28715)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (3000ds/96Mi)
0.14/0.39	% (28715)First to succeed.
0.14/0.39	% (28715)Refutation found. Thanks to Tanya!
0.14/0.39	% SZS status Theorem for theBenchmark
0.14/0.39	% SZS output start Proof for theBenchmark
0.14/0.39	thf(func_def_0, type, in: $i > ($i > $o) > $o).
0.14/0.39	thf(func_def_2, type, is_a: $i > ($i > $o) > $o).
0.14/0.39	thf(func_def_3, type, emptyset: $i > $o).
0.14/0.39	thf(func_def_4, type, unord_pair: $i > $i > $i > $o).
0.14/0.39	thf(func_def_5, type, singleton: $i > $i > $o).
0.14/0.39	thf(func_def_6, type, union: ($i > $o) > ($i > $o) > $i > $o).
0.14/0.39	thf(func_def_7, type, excl_union: ($i > $o) > ($i > $o) > $i > $o).
0.14/0.39	thf(func_def_8, type, intersection: ($i > $o) > ($i > $o) > $i > $o).
0.14/0.39	thf(func_def_9, type, setminus: ($i > $o) > ($i > $o) > $i > $o).
0.14/0.39	thf(func_def_10, type, complement: ($i > $o) > $i > $o).
0.14/0.39	thf(func_def_11, type, disjoint: ($i > $o) > ($i > $o) > $o).
0.14/0.39	thf(func_def_12, type, subset: ($i > $o) > ($i > $o) > $o).
0.14/0.39	thf(func_def_13, type, meets: ($i > $o) > ($i > $o) > $o).
0.14/0.39	thf(func_def_14, type, misses: ($i > $o) > ($i > $o) > $o).
0.14/0.39	thf(func_def_28, type, sK0: $i > $o).
0.14/0.39	thf(func_def_29, type, sK1: $i > $o).
0.14/0.39	thf(func_def_31, type, ph3: !>[X0: $tType]:(X0)).
0.14/0.39	thf(f118,plain,(
0.14/0.39	  $false),
0.14/0.39	  inference(avatar_sat_refutation,[],[f104,f110,f111,f114,f117])).
0.14/0.39	thf(f117,plain,(
0.14/0.39	  ~spl2_1 | ~spl2_4),
0.14/0.39	  inference(avatar_contradiction_clause,[],[f116])).
0.14/0.39	thf(f116,plain,(
0.14/0.39	  $false | (~spl2_1 | ~spl2_4)),
0.14/0.39	  inference(trivial_inequality_removal,[],[f115])).
0.14/0.39	thf(f115,plain,(
0.14/0.39	  ($true = $false) | (~spl2_1 | ~spl2_4)),
0.14/0.39	  inference(backward_demodulation,[],[f108,f93])).
0.14/0.39	thf(f93,plain,(
0.14/0.39	  ($false = (sK0 @ sK4)) | ~spl2_1),
0.14/0.39	  inference(avatar_component_clause,[],[f91])).
0.14/0.39	thf(f91,plain,(
0.14/0.39	  spl2_1 <=> ($false = (sK0 @ sK4))),
0.14/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
0.14/0.39	thf(f108,plain,(
0.14/0.39	  ($true = (sK0 @ sK4)) | ~spl2_4),
0.14/0.39	  inference(avatar_component_clause,[],[f106])).
0.14/0.39	thf(f106,plain,(
0.14/0.39	  spl2_4 <=> ($true = (sK0 @ sK4))),
0.14/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
0.14/0.39	thf(f114,plain,(
0.14/0.39	  ~spl2_2 | ~spl2_3),
0.14/0.39	  inference(avatar_contradiction_clause,[],[f113])).
0.14/0.39	thf(f113,plain,(
0.14/0.39	  $false | (~spl2_2 | ~spl2_3)),
0.14/0.39	  inference(trivial_inequality_removal,[],[f112])).
0.14/0.39	thf(f112,plain,(
0.14/0.39	  ($true = $false) | (~spl2_2 | ~spl2_3)),
0.14/0.39	  inference(backward_demodulation,[],[f97,f102])).
0.14/0.39	thf(f102,plain,(
0.14/0.39	  ($false = (sK1 @ sK4)) | ~spl2_3),
0.14/0.39	  inference(avatar_component_clause,[],[f100])).
0.14/0.39	thf(f100,plain,(
0.14/0.39	  spl2_3 <=> ($false = (sK1 @ sK4))),
0.14/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl2_3])])).
0.14/0.39	thf(f97,plain,(
0.14/0.39	  ($true = (sK1 @ sK4)) | ~spl2_2),
0.14/0.39	  inference(avatar_component_clause,[],[f95])).
0.14/0.39	thf(f95,plain,(
0.14/0.39	  spl2_2 <=> ($true = (sK1 @ sK4))),
0.14/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
0.14/0.39	thf(f111,plain,(
0.14/0.39	  spl2_2),
0.14/0.39	  inference(avatar_split_clause,[],[f89,f95])).
0.14/0.39	thf(f89,plain,(
0.14/0.39	  ($true = (sK1 @ sK4))),
0.14/0.39	  inference(duplicate_literal_removal,[],[f86])).
0.14/0.39	thf(f86,plain,(
0.14/0.39	  ($true = (sK1 @ sK4)) | ($true = (sK1 @ sK4))),
0.14/0.39	  inference(binary_proxy_clausification,[],[f77])).
0.14/0.39	thf(f77,plain,(
0.14/0.39	  ($true = (sK1 @ sK4)) | ($true = ((~ (sK0 @ sK4)) & (sK1 @ sK4)))),
0.14/0.39	  inference(binary_proxy_clausification,[],[f67])).
0.14/0.39	thf(f67,plain,(
0.14/0.39	  ($true = ((~ ((sK0 @ sK4) & (sK1 @ sK4))) & (sK1 @ sK4))) | ($true = ((~ (sK0 @ sK4)) & (sK1 @ sK4)))),
0.14/0.39	  inference(binary_proxy_clausification,[],[f66])).
0.14/0.39	thf(f66,plain,(
0.14/0.39	  (((~ ((sK0 @ sK4) & (sK1 @ sK4))) & (sK1 @ sK4)) != ((~ (sK0 @ sK4)) & (sK1 @ sK4)))),
0.14/0.39	  inference(beta_eta_normalization,[],[f65])).
0.14/0.39	thf(f65,plain,(
0.14/0.39	  (((^[Y0 : $i]: ((~ (sK0 @ Y0)) & (sK1 @ Y0))) @ sK4) != ((^[Y0 : $i]: ((~ ((sK0 @ Y0) & (sK1 @ Y0))) & (sK1 @ Y0))) @ sK4))),
0.14/0.39	  inference(negative_extensionality,[],[f64])).
0.14/0.39	thf(f64,plain,(
0.14/0.39	  ((^[Y0 : $i]: ((~ ((sK0 @ Y0) & (sK1 @ Y0))) & (sK1 @ Y0))) != (^[Y0 : $i]: ((~ (sK0 @ Y0)) & (sK1 @ Y0))))),
0.14/0.39	  inference(beta_eta_normalization,[],[f63])).
0.14/0.39	thf(f63,plain,(
0.14/0.39	  (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (Y1 @ Y2)) & (Y0 @ Y2))))))) @ sK1 @ sK0) != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (Y1 @ Y2)) & (Y0 @ Y2))))))) @ sK1 @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ Y2))))))) @ sK1 @ sK0)))),
0.14/0.39	  inference(definition_unfolding,[],[f51,f48,f52,f48])).
0.14/0.39	thf(f52,plain,(
0.14/0.39	  (intersection = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
0.14/0.39	  inference(cnf_transformation,[],[f19])).
0.14/0.39	thf(f19,plain,(
0.14/0.39	  (intersection = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
0.14/0.39	  inference(fool_elimination,[],[f18])).
0.14/0.39	thf(f18,plain,(
0.14/0.39	  (intersection = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) & (X1 @ X2))))),
0.14/0.39	  inference(rectify,[],[f8])).
0.14/0.39	thf(f8,axiom,(
0.14/0.39	  (intersection = (^[X0 : $i > $o, X2 : $i > $o, X3 : $i] : ((X0 @ X3) & (X2 @ X3))))),
0.14/0.39	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection)).
0.14/0.39	thf(f48,plain,(
0.14/0.39	  (setminus = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (Y1 @ Y2)) & (Y0 @ Y2))))))))),
0.14/0.39	  inference(cnf_transformation,[],[f41])).
0.14/0.39	thf(f41,plain,(
0.14/0.39	  (setminus = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((~ (Y1 @ Y2)) & (Y0 @ Y2))))))))),
0.14/0.39	  inference(fool_elimination,[],[f40])).
0.14/0.39	thf(f40,plain,(
0.14/0.39	  (setminus = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) & ~(X1 @ X2))))),
0.14/0.39	  inference(rectify,[],[f9])).
0.14/0.39	thf(f9,axiom,(
0.14/0.39	  (setminus = (^[X0 : $i > $o, X2 : $i > $o, X3 : $i] : ((X0 @ X3) & ~(X2 @ X3))))),
0.14/0.39	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminus)).
0.14/0.39	thf(f51,plain,(
0.14/0.39	  ((setminus @ sK1 @ (intersection @ sK1 @ sK0)) != (setminus @ sK1 @ sK0))),
0.14/0.39	  inference(cnf_transformation,[],[f46])).
0.14/0.39	thf(f46,plain,(
0.14/0.39	  ((setminus @ sK1 @ (intersection @ sK1 @ sK0)) != (setminus @ sK1 @ sK0))),
0.14/0.39	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f44,f45])).
0.14/0.39	thf(f45,plain,(
0.14/0.39	  ? [X0 : $i > $o,X1 : $i > $o] : ((setminus @ X1 @ (intersection @ X1 @ X0)) != (setminus @ X1 @ X0)) => ((setminus @ sK1 @ (intersection @ sK1 @ sK0)) != (setminus @ sK1 @ sK0))),
0.14/0.39	  introduced(choice_axiom,[])).
0.14/0.39	thf(f44,plain,(
0.14/0.39	  ? [X0 : $i > $o,X1 : $i > $o] : ((setminus @ X1 @ (intersection @ X1 @ X0)) != (setminus @ X1 @ X0))),
0.14/0.39	  inference(ennf_transformation,[],[f43])).
0.14/0.39	thf(f43,plain,(
0.14/0.39	  ~! [X0 : $i > $o,X1 : $i > $o] : ((setminus @ X1 @ (intersection @ X1 @ X0)) = (setminus @ X1 @ X0))),
0.14/0.40	  inference(rectify,[],[f16])).
0.14/0.40	thf(f16,negated_conjecture,(
0.14/0.40	  ~! [X2 : $i > $o,X0 : $i > $o] : ((setminus @ X0 @ (intersection @ X0 @ X2)) = (setminus @ X0 @ X2))),
0.14/0.40	  inference(negated_conjecture,[],[f15])).
0.14/0.40	thf(f15,conjecture,(
0.14/0.40	  ! [X2 : $i > $o,X0 : $i > $o] : ((setminus @ X0 @ (intersection @ X0 @ X2)) = (setminus @ X0 @ X2))),
0.14/0.40	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
0.14/0.40	thf(f110,plain,(
0.14/0.40	  spl2_3 | spl2_4),
0.14/0.40	  inference(avatar_split_clause,[],[f76,f106,f100])).
0.14/0.40	thf(f76,plain,(
0.14/0.40	  ($true = (sK0 @ sK4)) | ($false = (sK1 @ sK4))),
0.14/0.40	  inference(duplicate_literal_removal,[],[f75])).
0.14/0.40	thf(f75,plain,(
0.14/0.40	  ($true = (sK0 @ sK4)) | ($false = (sK1 @ sK4)) | ($true = (sK0 @ sK4))),
0.14/0.40	  inference(binary_proxy_clausification,[],[f73])).
0.14/0.40	thf(f73,plain,(
0.14/0.40	  ($true = (sK0 @ sK4)) | ($false = (sK1 @ sK4)) | ($true = ((sK0 @ sK4) & (sK1 @ sK4)))),
0.14/0.40	  inference(not_proxy_clausification,[],[f72])).
0.14/0.40	thf(f72,plain,(
0.14/0.40	  ((~ (sK0 @ sK4)) = $false) | ($true = ((sK0 @ sK4) & (sK1 @ sK4))) | ($false = (sK1 @ sK4))),
0.14/0.40	  inference(duplicate_literal_removal,[],[f71])).
0.14/0.40	thf(f71,plain,(
0.14/0.40	  ($false = (sK1 @ sK4)) | ($true = ((sK0 @ sK4) & (sK1 @ sK4))) | ((~ (sK0 @ sK4)) = $false) | ($false = (sK1 @ sK4))),
0.14/0.40	  inference(binary_proxy_clausification,[],[f70])).
0.14/0.40	thf(f70,plain,(
0.14/0.40	  ($false = (sK1 @ sK4)) | ($false = ((~ (sK0 @ sK4)) & (sK1 @ sK4))) | ($true = ((sK0 @ sK4) & (sK1 @ sK4)))),
0.14/0.40	  inference(not_proxy_clausification,[],[f69])).
0.14/0.40	thf(f69,plain,(
0.14/0.40	  ($false = (~ ((sK0 @ sK4) & (sK1 @ sK4)))) | ($false = ((~ (sK0 @ sK4)) & (sK1 @ sK4))) | ($false = (sK1 @ sK4))),
0.14/0.40	  inference(binary_proxy_clausification,[],[f68])).
0.14/0.40	thf(f68,plain,(
0.14/0.40	  ($false = ((~ ((sK0 @ sK4) & (sK1 @ sK4))) & (sK1 @ sK4))) | ($false = ((~ (sK0 @ sK4)) & (sK1 @ sK4)))),
0.14/0.40	  inference(binary_proxy_clausification,[],[f66])).
0.14/0.40	thf(f104,plain,(
0.14/0.40	  spl2_3 | spl2_1),
0.14/0.40	  inference(avatar_split_clause,[],[f84,f91,f100])).
0.14/0.40	thf(f84,plain,(
0.14/0.40	  ($false = (sK0 @ sK4)) | ($false = (sK1 @ sK4))),
0.14/0.40	  inference(duplicate_literal_removal,[],[f83])).
0.14/0.40	thf(f83,plain,(
0.14/0.40	  ($false = (sK0 @ sK4)) | ($false = (sK1 @ sK4)) | ($false = (sK0 @ sK4))),
0.14/0.40	  inference(not_proxy_clausification,[],[f82])).
0.14/0.40	thf(f82,plain,(
0.14/0.40	  ($false = (sK0 @ sK4)) | ($false = (sK1 @ sK4)) | ($true = (~ (sK0 @ sK4)))),
0.14/0.40	  inference(binary_proxy_clausification,[],[f81])).
0.14/0.40	thf(f81,plain,(
0.14/0.40	  (((sK0 @ sK4) & (sK1 @ sK4)) = $false) | ($true = (~ (sK0 @ sK4)))),
0.14/0.40	  inference(binary_proxy_clausification,[],[f79])).
0.14/0.40	thf(f79,plain,(
0.14/0.40	  ($true = ((~ (sK0 @ sK4)) & (sK1 @ sK4))) | (((sK0 @ sK4) & (sK1 @ sK4)) = $false)),
0.14/0.40	  inference(not_proxy_clausification,[],[f78])).
0.14/0.40	thf(f78,plain,(
0.14/0.40	  ($true = (~ ((sK0 @ sK4) & (sK1 @ sK4)))) | ($true = ((~ (sK0 @ sK4)) & (sK1 @ sK4)))),
0.14/0.40	  inference(binary_proxy_clausification,[],[f67])).
0.14/0.40	% SZS output end Proof for theBenchmark
0.14/0.40	% (28715)------------------------------
0.14/0.40	% (28715)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.40	% (28715)Termination reason: Refutation
0.14/0.40	
0.14/0.40	% (28715)Memory used [KB]: 5500
0.14/0.40	% (28715)Time elapsed: 0.005 s
0.14/0.40	% (28715)Instructions burned: 5 (million)
0.14/0.40	% (28715)------------------------------
0.14/0.40	% (28715)------------------------------
0.14/0.40	% (28714)Success in time 0.013 s
0.14/0.40	% Vampire---4.8 exiting
0.14/0.40	EOF