0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% 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
0.12/0.34	% Computer : n020.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 300
0.12/0.34	% WCLimit    : 300
0.12/0.34	% DateTime   : Fri Jul  5 04:26:24 EDT 2024
0.12/0.34	% CPUTime    : 
0.12/0.36	This is a THF_ problem
0.12/0.36	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
0.12/0.38	% (32521)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi)
0.12/0.38	% (32527)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
0.12/0.38	% (32525)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
0.12/0.38	% (32527)Instruction limit reached!
0.12/0.38	% (32527)------------------------------
0.12/0.38	% (32527)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.12/0.38	% (32527)Termination reason: Unknown
0.12/0.38	% (32527)Termination phase: Saturation
0.12/0.38	
0.12/0.38	% (32527)Memory used [KB]: 5500
0.12/0.38	% (32527)Time elapsed: 0.004 s
0.12/0.38	% (32527)Instructions burned: 4 (million)
0.12/0.38	% (32527)------------------------------
0.12/0.38	% (32527)------------------------------
0.22/0.39	% (32528)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on theBenchmark for (2999ds/915Mi)
0.22/0.39	% (32524)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on theBenchmark for (2999ds/385Mi)
0.22/0.39	% (32523)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
0.22/0.39	% (32522)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
0.22/0.39	% (32526)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on theBenchmark for (2999ds/74Mi)
0.22/0.39	% (32528)Refutation not found, incomplete strategy
0.22/0.39	% (32528)------------------------------
0.22/0.39	% (32528)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.39	% (32528)Termination reason: Refutation not found, incomplete strategy
0.22/0.39	
0.22/0.39	
0.22/0.39	% (32528)Memory used [KB]: 5500
0.22/0.39	% (32528)Time elapsed: 0.005 s
0.22/0.39	% (32528)Instructions burned: 5 (million)
0.22/0.39	% (32528)------------------------------
0.22/0.39	% (32528)------------------------------
0.22/0.39	% (32521)First to succeed.
0.22/0.39	% (32522)Refutation not found, incomplete strategy
0.22/0.39	% (32522)------------------------------
0.22/0.39	% (32522)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.39	% (32522)Termination reason: Refutation not found, incomplete strategy
0.22/0.39	
0.22/0.39	
0.22/0.39	% (32522)Memory used [KB]: 5500
0.22/0.39	% (32522)Time elapsed: 0.006 s
0.22/0.39	% (32522)Instructions burned: 5 (million)
0.22/0.39	% (32522)------------------------------
0.22/0.39	% (32522)------------------------------
0.22/0.39	% (32525)Also succeeded, but the first one will report.
0.22/0.39	% (32523)Also succeeded, but the first one will report.
0.22/0.39	% (32521)Refutation found. Thanks to Tanya!
0.22/0.39	% SZS status Theorem for theBenchmark
0.22/0.39	% SZS output start Proof for theBenchmark
0.22/0.39	thf(func_def_0, type, in: $i > ($i > $o) > $o).
0.22/0.39	thf(func_def_2, type, is_a: $i > ($i > $o) > $o).
0.22/0.39	thf(func_def_3, type, emptyset: $i > $o).
0.22/0.39	thf(func_def_4, type, unord_pair: $i > $i > $i > $o).
0.22/0.39	thf(func_def_5, type, singleton: $i > $i > $o).
0.22/0.39	thf(func_def_6, type, union: ($i > $o) > ($i > $o) > $i > $o).
0.22/0.39	thf(func_def_7, type, excl_union: ($i > $o) > ($i > $o) > $i > $o).
0.22/0.39	thf(func_def_8, type, intersection: ($i > $o) > ($i > $o) > $i > $o).
0.22/0.39	thf(func_def_9, type, setminus: ($i > $o) > ($i > $o) > $i > $o).
0.22/0.39	thf(func_def_10, type, complement: ($i > $o) > $i > $o).
0.22/0.39	thf(func_def_11, type, disjoint: ($i > $o) > ($i > $o) > $o).
0.22/0.39	thf(func_def_12, type, subset: ($i > $o) > ($i > $o) > $o).
0.22/0.39	thf(func_def_13, type, meets: ($i > $o) > ($i > $o) > $o).
0.22/0.39	thf(func_def_14, type, misses: ($i > $o) > ($i > $o) > $o).
0.22/0.39	thf(func_def_28, type, sK0: $i > $o).
0.22/0.39	thf(func_def_29, type, sK1: $i > $o).
0.22/0.39	thf(func_def_30, type, sK2: $i > $o).
0.22/0.39	thf(func_def_32, type, ph4: !>[X0: $tType]:(X0)).
0.22/0.39	thf(f361,plain,(
0.22/0.39	  $false),
0.22/0.39	  inference(avatar_sat_refutation,[],[f293,f304,f309,f331,f340,f345,f352,f356,f360])).
0.22/0.39	thf(f360,plain,(
0.22/0.39	  ~spl3_1 | ~spl3_6),
0.22/0.39	  inference(avatar_contradiction_clause,[],[f359])).
0.22/0.39	thf(f359,plain,(
0.22/0.39	  $false | (~spl3_1 | ~spl3_6)),
0.22/0.39	  inference(trivial_inequality_removal,[],[f358])).
0.22/0.39	thf(f358,plain,(
0.22/0.39	  ($true = $false) | (~spl3_1 | ~spl3_6)),
0.22/0.39	  inference(backward_demodulation,[],[f281,f325])).
0.22/0.39	thf(f325,plain,(
0.22/0.39	  ((sK0 @ sK5) = $false) | ~spl3_6),
0.22/0.39	  inference(avatar_component_clause,[],[f323])).
0.22/0.39	thf(f323,plain,(
0.22/0.39	  spl3_6 <=> ((sK0 @ sK5) = $false)),
0.22/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl3_6])])).
0.22/0.39	thf(f281,plain,(
0.22/0.39	  ((sK0 @ sK5) = $true) | ~spl3_1),
0.22/0.39	  inference(avatar_component_clause,[],[f279])).
0.22/0.39	thf(f279,plain,(
0.22/0.39	  spl3_1 <=> ((sK0 @ sK5) = $true)),
0.22/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl3_1])])).
0.22/0.39	thf(f356,plain,(
0.22/0.39	  ~spl3_2 | ~spl3_5),
0.22/0.39	  inference(avatar_contradiction_clause,[],[f355])).
0.22/0.39	thf(f355,plain,(
0.22/0.39	  $false | (~spl3_2 | ~spl3_5)),
0.22/0.39	  inference(trivial_inequality_removal,[],[f354])).
0.22/0.39	thf(f354,plain,(
0.22/0.39	  ($true = $false) | (~spl3_2 | ~spl3_5)),
0.22/0.39	  inference(backward_demodulation,[],[f285,f321])).
0.22/0.39	thf(f321,plain,(
0.22/0.39	  ((sK2 @ sK5) = $false) | ~spl3_5),
0.22/0.39	  inference(avatar_component_clause,[],[f319])).
0.22/0.39	thf(f319,plain,(
0.22/0.39	  spl3_5 <=> ((sK2 @ sK5) = $false)),
0.22/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl3_5])])).
0.22/0.39	thf(f285,plain,(
0.22/0.39	  ((sK2 @ sK5) = $true) | ~spl3_2),
0.22/0.39	  inference(avatar_component_clause,[],[f283])).
0.22/0.39	thf(f283,plain,(
0.22/0.39	  spl3_2 <=> ((sK2 @ sK5) = $true)),
0.22/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl3_2])])).
0.22/0.39	thf(f352,plain,(
0.22/0.39	  ~spl3_3 | ~spl3_4),
0.22/0.39	  inference(avatar_contradiction_clause,[],[f351])).
0.22/0.39	thf(f351,plain,(
0.22/0.39	  $false | (~spl3_3 | ~spl3_4)),
0.22/0.39	  inference(trivial_inequality_removal,[],[f350])).
0.22/0.39	thf(f350,plain,(
0.22/0.39	  ($true = $false) | (~spl3_3 | ~spl3_4)),
0.22/0.39	  inference(backward_demodulation,[],[f289,f317])).
0.22/0.39	thf(f317,plain,(
0.22/0.39	  ((sK1 @ sK5) = $false) | ~spl3_4),
0.22/0.39	  inference(avatar_component_clause,[],[f315])).
0.22/0.40	thf(f315,plain,(
0.22/0.40	  spl3_4 <=> ((sK1 @ sK5) = $false)),
0.22/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl3_4])])).
0.22/0.40	thf(f289,plain,(
0.22/0.40	  ((sK1 @ sK5) = $true) | ~spl3_3),
0.22/0.40	  inference(avatar_component_clause,[],[f287])).
0.22/0.40	thf(f287,plain,(
0.22/0.40	  spl3_3 <=> ((sK1 @ sK5) = $true)),
0.22/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl3_3])])).
0.22/0.40	thf(f345,plain,(
0.22/0.40	  spl3_6 | spl3_5),
0.22/0.40	  inference(avatar_split_clause,[],[f99,f319,f323])).
0.22/0.40	thf(f99,plain,(
0.22/0.40	  ((sK0 @ sK5) = $false) | ((sK2 @ sK5) = $false)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f98])).
0.22/0.40	thf(f98,plain,(
0.22/0.40	  ((sK2 @ sK5) = $false) | ((sK0 @ sK5) = $false) | ((sK2 @ sK5) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f96])).
0.22/0.40	thf(f96,plain,(
0.22/0.40	  ((sK2 @ sK5) = $false) | ((sK0 @ sK5) = $false) | (((sK2 @ sK5) | (sK1 @ sK5)) = $false)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f95])).
0.22/0.40	thf(f95,plain,(
0.22/0.40	  ((sK2 @ sK5) = $false) | ((sK0 @ sK5) = $false) | (((sK2 @ sK5) | (sK1 @ sK5)) = $false) | ((sK0 @ sK5) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f94])).
0.22/0.40	thf(f94,plain,(
0.22/0.40	  (((sK0 @ sK5) & (sK2 @ sK5)) = $false) | (((sK2 @ sK5) | (sK1 @ sK5)) = $false) | ((sK0 @ sK5) = $false)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f93])).
0.22/0.40	thf(f93,plain,(
0.22/0.40	  ((sK0 @ sK5) = $false) | (((sK0 @ sK5) & (sK2 @ sK5)) = $false) | (((sK2 @ sK5) | (sK1 @ sK5)) = $false) | ((sK0 @ sK5) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f73])).
0.22/0.40	thf(f73,plain,(
0.22/0.40	  (((sK0 @ sK5) | (sK2 @ sK5)) = $false) | ((sK0 @ sK5) = $false) | (((sK0 @ sK5) & (sK2 @ sK5)) = $false) | (((sK2 @ sK5) | (sK1 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f72])).
0.22/0.40	thf(f72,plain,(
0.22/0.40	  (((sK1 @ sK5) | (sK0 @ sK5)) = $false) | (((sK2 @ sK5) | (sK1 @ sK5)) = $false) | (((sK0 @ sK5) | (sK2 @ sK5)) = $false) | (((sK0 @ sK5) & (sK2 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f71])).
0.22/0.40	thf(f71,plain,(
0.22/0.40	  ((((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5))) = $false) | (((sK0 @ sK5) & (sK2 @ sK5)) = $false) | (((sK0 @ sK5) | (sK2 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f70])).
0.22/0.40	thf(f70,plain,(
0.22/0.40	  ((((sK0 @ sK5) | (sK2 @ sK5)) & (((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5)))) = $false) | (((sK0 @ sK5) & (sK2 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f68])).
0.22/0.40	thf(f68,plain,(
0.22/0.40	  ((((sK0 @ sK5) & (sK2 @ sK5)) | (((sK2 @ sK5) & (sK1 @ sK5)) | ((sK1 @ sK5) & (sK0 @ sK5)))) = $false) | ((((sK0 @ sK5) | (sK2 @ sK5)) & (((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5)))) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f66])).
0.22/0.40	thf(f66,plain,(
0.22/0.40	  ((((sK0 @ sK5) | (sK2 @ sK5)) & (((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5)))) != (((sK0 @ sK5) & (sK2 @ sK5)) | (((sK2 @ sK5) & (sK1 @ sK5)) | ((sK1 @ sK5) & (sK0 @ sK5)))))),
0.22/0.40	  inference(beta_eta_normalization,[],[f65])).
0.22/0.40	thf(f65,plain,(
0.22/0.40	  (((^[Y0 : $i]: (((sK0 @ Y0) & (sK2 @ Y0)) | (((sK2 @ Y0) & (sK1 @ Y0)) | ((sK1 @ Y0) & (sK0 @ Y0))))) @ sK5) != ((^[Y0 : $i]: (((sK0 @ Y0) | (sK2 @ Y0)) & (((sK2 @ Y0) | (sK1 @ Y0)) & ((sK1 @ Y0) | (sK0 @ Y0))))) @ sK5))),
0.22/0.40	  inference(negative_extensionality,[],[f64])).
0.22/0.40	thf(f64,plain,(
0.22/0.40	  ((^[Y0 : $i]: (((sK0 @ Y0) & (sK2 @ Y0)) | (((sK2 @ Y0) & (sK1 @ Y0)) | ((sK1 @ Y0) & (sK0 @ Y0))))) != (^[Y0 : $i]: (((sK0 @ Y0) | (sK2 @ Y0)) & (((sK2 @ Y0) | (sK1 @ Y0)) & ((sK1 @ Y0) | (sK0 @ Y0))))))),
0.22/0.40	  inference(beta_eta_normalization,[],[f63])).
0.22/0.40	thf(f63,plain,(
0.22/0.40	  (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ sK0 @ sK2) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ sK2 @ sK1) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ sK1 @ sK0))) != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))) @ sK0 @ sK2) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))) @ sK2 @ sK1) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))) @ sK1 @ sK0))))),
0.22/0.40	  inference(definition_unfolding,[],[f50,f52,f53,f52,f53,f53,f53,f52,f53,f52,f52])).
0.22/0.40	thf(f53,plain,(
0.22/0.40	  (intersection = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
0.22/0.40	  inference(cnf_transformation,[],[f32])).
0.22/0.40	thf(f32,plain,(
0.22/0.40	  (intersection = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
0.22/0.40	  inference(fool_elimination,[],[f31])).
0.22/0.40	thf(f31,plain,(
0.22/0.40	  ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) & (X0 @ X2))) = intersection)),
0.22/0.40	  inference(rectify,[],[f8])).
0.22/0.40	thf(f8,axiom,(
0.22/0.40	  ((^[X0 : $i > $o, X2 : $i > $o, X3 : $i] : ((X2 @ X3) & (X0 @ X3))) = intersection)),
0.22/0.40	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection)).
0.22/0.40	thf(f52,plain,(
0.22/0.40	  (union = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.22/0.40	  inference(cnf_transformation,[],[f34])).
0.22/0.40	thf(f34,plain,(
0.22/0.40	  (union = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
0.22/0.40	  inference(fool_elimination,[],[f33])).
0.22/0.40	thf(f33,plain,(
0.22/0.40	  ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = union)),
0.22/0.40	  inference(rectify,[],[f6])).
0.22/0.40	thf(f6,axiom,(
0.22/0.40	  ((^[X0 : $i > $o, X2 : $i > $o, X3 : $i] : ((X2 @ X3) | (X0 @ X3))) = union)),
0.22/0.40	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union)).
0.22/0.40	thf(f50,plain,(
0.22/0.40	  ((union @ (intersection @ sK0 @ sK2) @ (union @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK0))) != (intersection @ (union @ sK0 @ sK2) @ (intersection @ (union @ sK2 @ sK1) @ (union @ sK1 @ sK0))))),
0.22/0.40	  inference(cnf_transformation,[],[f46])).
0.22/0.40	thf(f46,plain,(
0.22/0.40	  ((union @ (intersection @ sK0 @ sK2) @ (union @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK0))) != (intersection @ (union @ sK0 @ sK2) @ (intersection @ (union @ sK2 @ sK1) @ (union @ sK1 @ sK0))))),
0.22/0.40	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f44,f45])).
0.22/0.40	thf(f45,plain,(
0.22/0.40	  ? [X0 : $i > $o,X1 : $i > $o,X2 : $i > $o] : ((union @ (intersection @ X0 @ X2) @ (union @ (intersection @ X2 @ X1) @ (intersection @ X1 @ X0))) != (intersection @ (union @ X0 @ X2) @ (intersection @ (union @ X2 @ X1) @ (union @ X1 @ X0)))) => ((union @ (intersection @ sK0 @ sK2) @ (union @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK0))) != (intersection @ (union @ sK0 @ sK2) @ (intersection @ (union @ sK2 @ sK1) @ (union @ sK1 @ sK0))))),
0.22/0.40	  introduced(choice_axiom,[])).
0.22/0.40	thf(f44,plain,(
0.22/0.40	  ? [X0 : $i > $o,X1 : $i > $o,X2 : $i > $o] : ((union @ (intersection @ X0 @ X2) @ (union @ (intersection @ X2 @ X1) @ (intersection @ X1 @ X0))) != (intersection @ (union @ X0 @ X2) @ (intersection @ (union @ X2 @ X1) @ (union @ X1 @ X0))))),
0.22/0.40	  inference(ennf_transformation,[],[f43])).
0.22/0.40	thf(f43,plain,(
0.22/0.40	  ~! [X0 : $i > $o,X1 : $i > $o,X2 : $i > $o] : ((union @ (intersection @ X0 @ X2) @ (union @ (intersection @ X2 @ X1) @ (intersection @ X1 @ X0))) = (intersection @ (union @ X0 @ X2) @ (intersection @ (union @ X2 @ X1) @ (union @ X1 @ X0))))),
0.22/0.40	  inference(rectify,[],[f16])).
0.22/0.40	thf(f16,negated_conjecture,(
0.22/0.40	  ~! [X0 : $i > $o,X4 : $i > $o,X2 : $i > $o] : ((union @ (intersection @ X0 @ X2) @ (union @ (intersection @ X2 @ X4) @ (intersection @ X4 @ X0))) = (intersection @ (union @ X0 @ X2) @ (intersection @ (union @ X2 @ X4) @ (union @ X4 @ X0))))),
0.22/0.40	  inference(negated_conjecture,[],[f15])).
0.22/0.40	thf(f15,conjecture,(
0.22/0.40	  ! [X0 : $i > $o,X4 : $i > $o,X2 : $i > $o] : ((union @ (intersection @ X0 @ X2) @ (union @ (intersection @ X2 @ X4) @ (intersection @ X4 @ X0))) = (intersection @ (union @ X0 @ X2) @ (intersection @ (union @ X2 @ X4) @ (union @ X4 @ X0))))),
0.22/0.40	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
0.22/0.40	thf(f340,plain,(
0.22/0.40	  spl3_4 | spl3_5),
0.22/0.40	  inference(avatar_split_clause,[],[f118,f319,f315])).
0.22/0.40	thf(f118,plain,(
0.22/0.40	  ((sK2 @ sK5) = $false) | ((sK1 @ sK5) = $false)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f116])).
0.22/0.40	thf(f116,plain,(
0.22/0.40	  ((sK2 @ sK5) = $false) | ((sK1 @ sK5) = $false) | ((sK2 @ sK5) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f115])).
0.22/0.40	thf(f115,plain,(
0.22/0.40	  (((sK0 @ sK5) | (sK2 @ sK5)) = $false) | ((sK2 @ sK5) = $false) | ((sK1 @ sK5) = $false)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f114])).
0.22/0.40	thf(f114,plain,(
0.22/0.40	  ((sK2 @ sK5) = $false) | ((sK1 @ sK5) = $false) | (((sK0 @ sK5) | (sK2 @ sK5)) = $false) | ((sK2 @ sK5) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f112])).
0.22/0.40	thf(f112,plain,(
0.22/0.40	  (((sK2 @ sK5) | (sK1 @ sK5)) = $false) | (((sK0 @ sK5) | (sK2 @ sK5)) = $false) | ((sK1 @ sK5) = $false) | ((sK2 @ sK5) = $false)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f111])).
0.22/0.40	thf(f111,plain,(
0.22/0.40	  ((sK1 @ sK5) = $false) | ((sK2 @ sK5) = $false) | (((sK2 @ sK5) | (sK1 @ sK5)) = $false) | ((sK1 @ sK5) = $false) | (((sK0 @ sK5) | (sK2 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f109])).
0.22/0.40	thf(f109,plain,(
0.22/0.40	  (((sK1 @ sK5) | (sK0 @ sK5)) = $false) | ((sK1 @ sK5) = $false) | (((sK0 @ sK5) | (sK2 @ sK5)) = $false) | ((sK2 @ sK5) = $false) | (((sK2 @ sK5) | (sK1 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f108])).
0.22/0.40	thf(f108,plain,(
0.22/0.40	  (((sK2 @ sK5) & (sK1 @ sK5)) = $false) | (((sK1 @ sK5) | (sK0 @ sK5)) = $false) | (((sK0 @ sK5) | (sK2 @ sK5)) = $false) | (((sK2 @ sK5) | (sK1 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f107])).
0.22/0.40	thf(f107,plain,(
0.22/0.40	  ((((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5))) = $false) | (((sK2 @ sK5) & (sK1 @ sK5)) = $false) | (((sK0 @ sK5) | (sK2 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f106])).
0.22/0.40	thf(f106,plain,(
0.22/0.40	  ((((sK0 @ sK5) | (sK2 @ sK5)) & (((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5)))) = $false) | (((sK2 @ sK5) & (sK1 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f69])).
0.22/0.40	thf(f69,plain,(
0.22/0.40	  ((((sK2 @ sK5) & (sK1 @ sK5)) | ((sK1 @ sK5) & (sK0 @ sK5))) = $false) | ((((sK0 @ sK5) | (sK2 @ sK5)) & (((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5)))) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f68])).
0.22/0.40	thf(f331,plain,(
0.22/0.40	  spl3_4 | spl3_6),
0.22/0.40	  inference(avatar_split_clause,[],[f152,f323,f315])).
0.22/0.40	thf(f152,plain,(
0.22/0.40	  ((sK1 @ sK5) = $false) | ((sK0 @ sK5) = $false)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f151])).
0.22/0.40	thf(f151,plain,(
0.22/0.40	  ((sK0 @ sK5) = $false) | ((sK1 @ sK5) = $false) | ((sK0 @ sK5) = $false) | ((sK1 @ sK5) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f150])).
0.22/0.40	thf(f150,plain,(
0.22/0.40	  (((sK1 @ sK5) & (sK0 @ sK5)) = $false) | ((sK0 @ sK5) = $false) | ((sK1 @ sK5) = $false)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f149])).
0.22/0.40	thf(f149,plain,(
0.22/0.40	  ((sK1 @ sK5) = $false) | ((sK1 @ sK5) = $false) | ((sK0 @ sK5) = $false) | (((sK1 @ sK5) & (sK0 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f139])).
0.22/0.40	thf(f139,plain,(
0.22/0.40	  (((sK1 @ sK5) | (sK0 @ sK5)) = $false) | ((sK1 @ sK5) = $false) | ((sK0 @ sK5) = $false) | (((sK1 @ sK5) & (sK0 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f138])).
0.22/0.40	thf(f138,plain,(
0.22/0.40	  (((sK2 @ sK5) | (sK1 @ sK5)) = $false) | ((sK0 @ sK5) = $false) | (((sK1 @ sK5) | (sK0 @ sK5)) = $false) | (((sK1 @ sK5) & (sK0 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f137])).
0.22/0.40	thf(f137,plain,(
0.22/0.40	  ((sK0 @ sK5) = $false) | ((((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5))) = $false) | (((sK1 @ sK5) & (sK0 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f135])).
0.22/0.40	thf(f135,plain,(
0.22/0.40	  (((sK0 @ sK5) | (sK2 @ sK5)) = $false) | (((sK1 @ sK5) & (sK0 @ sK5)) = $false) | ((((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5))) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f105])).
0.22/0.40	thf(f105,plain,(
0.22/0.40	  ((((sK0 @ sK5) | (sK2 @ sK5)) & (((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5)))) = $false) | (((sK1 @ sK5) & (sK0 @ sK5)) = $false)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f69])).
0.22/0.40	thf(f309,plain,(
0.22/0.40	  spl3_2 | spl3_1),
0.22/0.40	  inference(avatar_split_clause,[],[f202,f279,f283])).
0.22/0.40	thf(f202,plain,(
0.22/0.40	  ((sK2 @ sK5) = $true) | ((sK0 @ sK5) = $true)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f201])).
0.22/0.40	thf(f201,plain,(
0.22/0.40	  ((sK2 @ sK5) = $true) | ((sK0 @ sK5) = $true) | ((sK2 @ sK5) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f199])).
0.22/0.40	thf(f199,plain,(
0.22/0.40	  (((sK2 @ sK5) & (sK1 @ sK5)) = $true) | ((sK0 @ sK5) = $true) | ((sK2 @ sK5) = $true)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f198])).
0.22/0.40	thf(f198,plain,(
0.22/0.40	  ((sK0 @ sK5) = $true) | ((sK0 @ sK5) = $true) | (((sK2 @ sK5) & (sK1 @ sK5)) = $true) | ((sK2 @ sK5) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f197])).
0.22/0.40	thf(f197,plain,(
0.22/0.40	  ($true = ((sK0 @ sK5) | (sK2 @ sK5))) | (((sK2 @ sK5) & (sK1 @ sK5)) = $true) | ((sK0 @ sK5) = $true)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f196])).
0.22/0.40	thf(f196,plain,(
0.22/0.40	  (((sK2 @ sK5) & (sK1 @ sK5)) = $true) | ((sK0 @ sK5) = $true) | ($true = ((sK0 @ sK5) | (sK2 @ sK5))) | ((sK0 @ sK5) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f178])).
0.22/0.40	thf(f178,plain,(
0.22/0.40	  (((sK0 @ sK5) & (sK2 @ sK5)) = $true) | (((sK2 @ sK5) & (sK1 @ sK5)) = $true) | ((sK0 @ sK5) = $true) | ($true = ((sK0 @ sK5) | (sK2 @ sK5)))),
0.22/0.40	  inference(binary_proxy_clausification,[],[f177])).
0.22/0.40	thf(f177,plain,(
0.22/0.40	  (((sK1 @ sK5) & (sK0 @ sK5)) = $true) | (((sK0 @ sK5) & (sK2 @ sK5)) = $true) | (((sK2 @ sK5) & (sK1 @ sK5)) = $true) | ($true = ((sK0 @ sK5) | (sK2 @ sK5)))),
0.22/0.40	  inference(binary_proxy_clausification,[],[f175])).
0.22/0.40	thf(f175,plain,(
0.22/0.40	  ((((sK0 @ sK5) | (sK2 @ sK5)) & (((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5)))) = $true) | (((sK0 @ sK5) & (sK2 @ sK5)) = $true) | (((sK2 @ sK5) & (sK1 @ sK5)) = $true) | (((sK1 @ sK5) & (sK0 @ sK5)) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f174])).
0.22/0.40	thf(f174,plain,(
0.22/0.40	  ((((sK2 @ sK5) & (sK1 @ sK5)) | ((sK1 @ sK5) & (sK0 @ sK5))) = $true) | ((((sK0 @ sK5) | (sK2 @ sK5)) & (((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5)))) = $true) | (((sK0 @ sK5) & (sK2 @ sK5)) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f67])).
0.22/0.40	thf(f67,plain,(
0.22/0.40	  ((((sK0 @ sK5) & (sK2 @ sK5)) | (((sK2 @ sK5) & (sK1 @ sK5)) | ((sK1 @ sK5) & (sK0 @ sK5)))) = $true) | ((((sK0 @ sK5) | (sK2 @ sK5)) & (((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5)))) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f66])).
0.22/0.40	thf(f304,plain,(
0.22/0.40	  spl3_2 | spl3_3),
0.22/0.40	  inference(avatar_split_clause,[],[f222,f287,f283])).
0.22/0.40	thf(f222,plain,(
0.22/0.40	  ((sK2 @ sK5) = $true) | ((sK1 @ sK5) = $true)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f221])).
0.22/0.40	thf(f221,plain,(
0.22/0.40	  ((sK2 @ sK5) = $true) | ((sK1 @ sK5) = $true) | ((sK2 @ sK5) = $true) | ((sK1 @ sK5) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f220])).
0.22/0.40	thf(f220,plain,(
0.22/0.40	  ($true = ((sK2 @ sK5) | (sK1 @ sK5))) | ((sK1 @ sK5) = $true) | ((sK2 @ sK5) = $true)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f216])).
0.22/0.40	thf(f216,plain,(
0.22/0.40	  ($true = ((sK2 @ sK5) | (sK1 @ sK5))) | ((sK2 @ sK5) = $true) | ((sK1 @ sK5) = $true) | ((sK2 @ sK5) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f215])).
0.22/0.40	thf(f215,plain,(
0.22/0.40	  ((sK2 @ sK5) = $true) | (((sK0 @ sK5) & (sK2 @ sK5)) = $true) | ((sK1 @ sK5) = $true) | ($true = ((sK2 @ sK5) | (sK1 @ sK5)))),
0.22/0.40	  inference(binary_proxy_clausification,[],[f213])).
0.22/0.40	thf(f213,plain,(
0.22/0.40	  (((sK1 @ sK5) & (sK0 @ sK5)) = $true) | ((sK2 @ sK5) = $true) | (((sK0 @ sK5) & (sK2 @ sK5)) = $true) | ($true = ((sK2 @ sK5) | (sK1 @ sK5)))),
0.22/0.40	  inference(binary_proxy_clausification,[],[f211])).
0.22/0.40	thf(f211,plain,(
0.22/0.40	  (((sK2 @ sK5) & (sK1 @ sK5)) = $true) | (((sK0 @ sK5) & (sK2 @ sK5)) = $true) | (((sK1 @ sK5) & (sK0 @ sK5)) = $true) | ($true = ((sK2 @ sK5) | (sK1 @ sK5)))),
0.22/0.40	  inference(binary_proxy_clausification,[],[f176])).
0.22/0.40	thf(f176,plain,(
0.22/0.40	  ((((sK2 @ sK5) | (sK1 @ sK5)) & ((sK1 @ sK5) | (sK0 @ sK5))) = $true) | (((sK0 @ sK5) & (sK2 @ sK5)) = $true) | (((sK1 @ sK5) & (sK0 @ sK5)) = $true) | (((sK2 @ sK5) & (sK1 @ sK5)) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f175])).
0.22/0.40	thf(f293,plain,(
0.22/0.40	  spl3_1 | spl3_3),
0.22/0.40	  inference(avatar_split_clause,[],[f272,f287,f279])).
0.22/0.40	thf(f272,plain,(
0.22/0.40	  ((sK1 @ sK5) = $true) | ((sK0 @ sK5) = $true)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f271])).
0.22/0.40	thf(f271,plain,(
0.22/0.40	  ((sK1 @ sK5) = $true) | ((sK0 @ sK5) = $true) | ((sK1 @ sK5) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f269])).
0.22/0.40	thf(f269,plain,(
0.22/0.40	  ((sK1 @ sK5) = $true) | ((sK0 @ sK5) = $true) | (((sK1 @ sK5) & (sK0 @ sK5)) = $true)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f268])).
0.22/0.40	thf(f268,plain,(
0.22/0.40	  (((sK1 @ sK5) & (sK0 @ sK5)) = $true) | ((sK1 @ sK5) = $true) | ((sK0 @ sK5) = $true) | ((sK0 @ sK5) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f266])).
0.22/0.40	thf(f266,plain,(
0.22/0.40	  (((sK0 @ sK5) & (sK2 @ sK5)) = $true) | (((sK1 @ sK5) & (sK0 @ sK5)) = $true) | ((sK0 @ sK5) = $true) | ((sK1 @ sK5) = $true)),
0.22/0.40	  inference(duplicate_literal_removal,[],[f265])).
0.22/0.40	thf(f265,plain,(
0.22/0.40	  (((sK1 @ sK5) & (sK0 @ sK5)) = $true) | ((sK0 @ sK5) = $true) | (((sK0 @ sK5) & (sK2 @ sK5)) = $true) | ((sK1 @ sK5) = $true) | ((sK1 @ sK5) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f247])).
0.22/0.40	thf(f247,plain,(
0.22/0.40	  ($true = ((sK1 @ sK5) | (sK0 @ sK5))) | (((sK0 @ sK5) & (sK2 @ sK5)) = $true) | (((sK1 @ sK5) & (sK0 @ sK5)) = $true) | ((sK1 @ sK5) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f210])).
0.22/0.40	thf(f210,plain,(
0.22/0.40	  (((sK2 @ sK5) & (sK1 @ sK5)) = $true) | (((sK0 @ sK5) & (sK2 @ sK5)) = $true) | ($true = ((sK1 @ sK5) | (sK0 @ sK5))) | (((sK1 @ sK5) & (sK0 @ sK5)) = $true)),
0.22/0.40	  inference(binary_proxy_clausification,[],[f176])).
0.22/0.40	% SZS output end Proof for theBenchmark
0.22/0.40	% (32521)------------------------------
0.22/0.40	% (32521)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.40	% (32521)Termination reason: Refutation
0.22/0.40	
0.22/0.40	% (32521)Memory used [KB]: 5628
0.22/0.40	% (32521)Time elapsed: 0.014 s
0.22/0.40	% (32521)Instructions burned: 12 (million)
0.22/0.40	% (32521)------------------------------
0.22/0.40	% (32521)------------------------------
0.22/0.40	% (32520)Success in time 0.027 s
0.22/0.40	% Vampire---4.8 exiting
0.22/0.40	EOF