0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : run_vampire %s %d THM
0.12/0.33	% Computer : n006.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1920
0.12/0.33	% WCLimit    : 240
0.12/0.33	% DateTime   : Wed Jul 30 02:30:34 EDT 2025
0.12/0.34	% CPUTime    : 
0.21/0.35	This is a THF_ problem
0.21/0.36	Running higher-order theorem proving
0.21/0.37	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.jFn1ibUF28/E---3.1_20703.p -m 16384 -t 240
0.21/0.39	% (20813)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_20703 for (2399ds/2Mi)
0.21/0.39	% (20812)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_20703 for (2399ds/27Mi)
0.21/0.39	% (20810)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_20703 for (2399ds/183Mi)
0.21/0.39	% (20811)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_20703 for (2399ds/4Mi)
0.21/0.39	% (20814)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_20703 for (2399ds/2Mi)
0.21/0.39	% (20815)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_20703 for (2399ds/275Mi)
0.21/0.39	% (20816)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_20703 for (2399ds/18Mi)
0.21/0.39	% (20813)Instruction limit reached!
0.21/0.39	% (20813)------------------------------
0.21/0.39	% (20813)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.39	% (20813)Termination reason: Unknown
0.21/0.39	% (20813)Termination phase: shuffling
0.21/0.39	% (20814)Instruction limit reached!
0.21/0.39	% (20814)------------------------------
0.21/0.39	% (20814)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.39	
0.21/0.39	% (20813)Memory used [KB]: 1023
0.21/0.39	% (20813)Time elapsed: 0.004 s
0.21/0.39	% (20813)Instructions burned: 3 (million)
0.21/0.39	% (20813)------------------------------
0.21/0.39	% (20813)------------------------------
0.21/0.39	% (20814)Termination reason: Unknown
0.21/0.39	% (20814)Termination phase: shuffling
0.21/0.39	
0.21/0.39	% (20814)Memory used [KB]: 1023
0.21/0.39	% (20814)Time elapsed: 0.004 s
0.21/0.39	% (20814)Instructions burned: 3 (million)
0.21/0.39	% (20814)------------------------------
0.21/0.39	% (20814)------------------------------
0.21/0.39	% (20811)Instruction limit reached!
0.21/0.39	% (20811)------------------------------
0.21/0.39	% (20811)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.39	% (20811)Termination reason: Unknown
0.21/0.39	% (20811)Termination phase: Property scanning
0.21/0.39	
0.21/0.39	% (20811)Memory used [KB]: 1023
0.21/0.39	% (20811)Time elapsed: 0.005 s
0.21/0.39	% (20811)Instructions burned: 4 (million)
0.21/0.39	% (20811)------------------------------
0.21/0.39	% (20811)------------------------------
0.21/0.39	% (20815)First to succeed.
0.21/0.40	% (20810)Also succeeded, but the first one will report.
0.21/0.40	% (20812)Also succeeded, but the first one will report.
0.21/0.40	% (20815)Refutation found. Thanks to Tanya!
0.21/0.40	% SZS status Theorem for E---3.1_20703
0.21/0.40	% SZS output start Proof for E---3.1_20703
0.21/0.40	thf(func_def_0, type, in: $i > ($i > $o) > $o).
0.21/0.40	thf(func_def_2, type, is_a: $i > ($i > $o) > $o).
0.21/0.40	thf(func_def_3, type, emptyset: $i > $o).
0.21/0.40	thf(func_def_4, type, unord_pair: $i > $i > $i > $o).
0.21/0.40	thf(func_def_5, type, singleton: $i > $i > $o).
0.21/0.40	thf(func_def_6, type, union: ($i > $o) > ($i > $o) > $i > $o).
0.21/0.40	thf(func_def_7, type, excl_union: ($i > $o) > ($i > $o) > $i > $o).
0.21/0.40	thf(func_def_8, type, intersection: ($i > $o) > ($i > $o) > $i > $o).
0.21/0.40	thf(func_def_9, type, setminus: ($i > $o) > ($i > $o) > $i > $o).
0.21/0.40	thf(func_def_10, type, complement: ($i > $o) > $i > $o).
0.21/0.40	thf(func_def_11, type, disjoint: ($i > $o) > ($i > $o) > $o).
0.21/0.40	thf(func_def_12, type, subset: ($i > $o) > ($i > $o) > $o).
0.21/0.40	thf(func_def_13, type, meets: ($i > $o) > ($i > $o) > $o).
0.21/0.40	thf(func_def_14, type, misses: ($i > $o) > ($i > $o) > $o).
0.21/0.40	thf(func_def_15, type, cartesian_product: ($i > $o) > ($i > $o) > $i > $i > $o).
0.21/0.40	thf(func_def_16, type, pair_rel: $i > $i > $i > $i > $o).
0.21/0.40	thf(func_def_17, type, id_rel: ($i > $o) > $i > $i > $o).
0.21/0.40	thf(func_def_18, type, sub_rel: ($i > $i > $o) > ($i > $i > $o) > $o).
0.21/0.40	thf(func_def_19, type, is_rel_on: ($i > $i > $o) > ($i > $o) > ($i > $o) > $o).
0.21/0.40	thf(func_def_20, type, restrict_rel_domain: ($i > $i > $o) > ($i > $o) > $i > $i > $o).
0.21/0.40	thf(func_def_21, type, rel_diagonal: $i > $i > $o).
0.21/0.40	thf(func_def_22, type, rel_composition: ($i > $i > $o) > ($i > $i > $o) > $i > $i > $o).
0.21/0.40	thf(func_def_23, type, reflexive: ($i > $i > $o) > $o).
0.21/0.40	thf(func_def_24, type, irreflexive: ($i > $i > $o) > $o).
0.21/0.40	thf(func_def_25, type, symmetric: ($i > $i > $o) > $o).
0.21/0.40	thf(func_def_26, type, transitive: ($i > $i > $o) > $o).
0.21/0.40	thf(func_def_27, type, equiv_rel: ($i > $i > $o) > $o).
0.21/0.40	thf(func_def_28, type, rel_codomain: ($i > $i > $o) > $i > $o).
0.21/0.40	thf(func_def_29, type, rel_domain: ($i > $i > $o) > $i > $o).
0.21/0.40	thf(func_def_30, type, rel_inverse: ($i > $i > $o) > $i > $i > $o).
0.21/0.40	thf(func_def_31, type, equiv_classes: ($i > $i > $o) > ($i > $o) > $o).
0.21/0.40	thf(func_def_32, type, restrict_rel_codomain: ($i > $i > $o) > ($i > $o) > $i > $i > $o).
0.21/0.40	thf(func_def_33, type, rel_field: ($i > $i > $o) > $i > $o).
0.21/0.40	thf(func_def_34, type, well_founded: ($i > $i > $o) > $o).
0.21/0.40	thf(func_def_35, type, upwards_well_founded: ($i > $i > $o) > $o).
0.21/0.40	thf(func_def_52, type, sK0: $i > $i > $o).
0.21/0.40	thf(func_def_53, type, sK1: $i > $i > $o).
0.21/0.40	thf(f125,plain,(
0.21/0.40	  $false),
0.21/0.40	  inference(trivial_inequality_removal,[],[f124])).
0.21/0.40	thf(f124,plain,(
0.21/0.40	  ($false = $true)),
0.21/0.40	  inference(beta_eta_normalization,[],[f123])).
0.21/0.40	thf(f123,plain,(
0.21/0.40	  ($false = ((^[Y0 : $i]: ($true)) @ sK4))),
0.21/0.40	  inference(sigma_clausification,[],[f122])).
0.21/0.40	thf(f122,plain,(
0.21/0.40	  ($false = (!! @ $i @ (^[Y0 : $i]: ($true))))),
0.21/0.40	  inference(beta_eta_normalization,[],[f121])).
0.21/0.40	thf(f121,plain,(
0.21/0.40	  (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))) @ sK3) = $false)),
0.21/0.40	  inference(sigma_clausification,[],[f120])).
0.21/0.40	thf(f120,plain,(
0.21/0.40	  ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true))))))),
0.21/0.40	  inference(boolean_simplification,[],[f119])).
0.21/0.40	thf(f119,plain,(
0.21/0.40	  ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y1 @ Y0) => $true))))))),
0.21/0.40	  inference(boolean_simplification,[],[f118])).
0.21/0.40	thf(f118,plain,(
0.21/0.40	  ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y1 @ Y0) => ($true & $true)))))))),
0.21/0.40	  inference(beta_eta_normalization,[],[f117])).
0.21/0.40	thf(f117,plain,(
0.21/0.40	  ($true != ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))) @ sK1 @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2))))))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($true)))))),
0.21/0.40	  inference(definition_unfolding,[],[f113,f115,f112])).
0.21/0.40	thf(f112,plain,(
0.21/0.40	  (cartesian_product = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2))))))))))),
0.21/0.40	  inference(cnf_transformation,[],[f53])).
0.21/0.40	thf(f53,plain,(
0.21/0.40	  (cartesian_product = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y3) & (Y0 @ Y2))))))))))),
0.21/0.40	  inference(fool_elimination,[],[f52])).
0.21/0.40	thf(f52,plain,(
0.21/0.40	  ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i] : ((X0 @ X2) & (X1 @ X3))) = cartesian_product)),
0.21/0.40	  inference(rectify,[],[f15])).
0.21/0.40	thf(f15,axiom,(
0.21/0.40	  ((^[X0 : $i > $o, X2 : $i > $o, X3 : $i, X4 : $i] : ((X0 @ X3) & (X2 @ X4))) = cartesian_product)),
0.21/0.40	  file('/export/starexec/sandbox/tmp/tmp.jFn1ibUF28/E---3.1_20703.p',cartesian_product)).
0.21/0.40	thf(f115,plain,(
0.21/0.40	  (sub_rel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
0.21/0.40	  inference(cnf_transformation,[],[f77])).
0.21/0.40	thf(f77,plain,(
0.21/0.40	  (sub_rel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
0.21/0.40	  inference(fool_elimination,[],[f76])).
0.21/0.40	thf(f76,plain,(
0.21/0.40	  ((^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))) = sub_rel)),
0.21/0.40	  inference(rectify,[],[f18])).
0.21/0.40	thf(f18,axiom,(
0.21/0.40	  ((^[X6 : $i > $i > $o, X7 : $i > $i > $o] : (! [X0,X2] : ((X6 @ X0 @ X2) => (X7 @ X0 @ X2)))) = sub_rel)),
0.21/0.40	  file('/export/starexec/sandbox/tmp/tmp.jFn1ibUF28/E---3.1_20703.p',sub_rel)).
0.21/0.40	thf(f113,plain,(
0.21/0.40	  ((sub_rel @ sK1 @ (cartesian_product @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($true)))) != $true)),
0.21/0.40	  inference(cnf_transformation,[],[f110])).
0.21/0.40	thf(f110,plain,(
0.21/0.40	  ((sub_rel @ sK1 @ sK0) = $true) & ((sub_rel @ sK1 @ (cartesian_product @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($true)))) != $true)),
0.21/0.40	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f108,f109])).
0.21/0.40	thf(f109,plain,(
0.21/0.40	  ? [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((sub_rel @ X1 @ X0) = $true) & ($true != (sub_rel @ X1 @ (cartesian_product @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($true)))))) => (((sub_rel @ sK1 @ sK0) = $true) & ((sub_rel @ sK1 @ (cartesian_product @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($true)))) != $true))),
0.21/0.40	  introduced(choice_axiom,[])).
0.21/0.40	thf(f108,plain,(
0.21/0.40	  ? [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((sub_rel @ X1 @ X0) = $true) & ($true != (sub_rel @ X1 @ (cartesian_product @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($true))))))),
0.21/0.40	  inference(ennf_transformation,[],[f103])).
0.21/0.40	thf(f103,plain,(
0.21/0.40	  ~! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((sub_rel @ X1 @ X0) = $true) => ($true = (sub_rel @ X1 @ (cartesian_product @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($true))))))),
0.21/0.40	  inference(fool_elimination,[],[f102])).
0.21/0.40	thf(f102,plain,(
0.21/0.40	  ~! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((sub_rel @ X1 @ X0) => (sub_rel @ X1 @ (cartesian_product @ (^[X2 : $i] : ($true)) @ (^[X3 : $i] : ($true)))))),
0.21/0.40	  inference(rectify,[],[f37])).
0.21/0.40	thf(f37,negated_conjecture,(
0.21/0.40	  ~! [X14 : $i > $i > $o,X8 : $i > $i > $o] : ((sub_rel @ X8 @ X14) => (sub_rel @ X8 @ (cartesian_product @ (^[X0 : $i] : ($true)) @ (^[X0 : $i] : ($true)))))),
0.21/0.40	  inference(negated_conjecture,[],[f36])).
0.21/0.40	thf(f36,conjecture,(
0.21/0.40	  ! [X14 : $i > $i > $o,X8 : $i > $i > $o] : ((sub_rel @ X8 @ X14) => (sub_rel @ X8 @ (cartesian_product @ (^[X0 : $i] : ($true)) @ (^[X0 : $i] : ($true)))))),
0.21/0.40	  file('/export/starexec/sandbox/tmp/tmp.jFn1ibUF28/E---3.1_20703.p',thm)).
0.21/0.40	% SZS output end Proof for E---3.1_20703
0.21/0.40	% (20815)------------------------------
0.21/0.40	% (20815)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.21/0.40	% (20815)Termination reason: Refutation
0.21/0.40	
0.21/0.40	% (20815)Memory used [KB]: 5628
0.21/0.40	% (20815)Time elapsed: 0.008 s
0.21/0.40	% (20815)Instructions burned: 6 (million)
0.21/0.40	% (20815)------------------------------
0.21/0.40	% (20815)------------------------------
0.21/0.40	% (20809)Success in time 0.034 s
0.21/0.40	EOF