0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : run_vampire %s %d THM
0.13/0.34	% Computer : n007.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1440
0.13/0.34	% WCLimit    : 180
0.13/0.34	% DateTime   : Thu Jul  4 07:02:39 EDT 2024
0.13/0.34	% CPUTime    : 
0.13/0.36	This is a THF_ problem
0.13/0.36	Running higher-order theorem proving
0.13/0.37	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.RfgaLoDSAT/E---3.1_18117.p -m 16384 -t 180
0.13/0.39	% (18229)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_18117 for (1799ds/2Mi)
0.13/0.39	% (18226)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_18117 for (1799ds/4Mi)
0.13/0.39	% (18227)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_18117 for (1799ds/27Mi)
0.13/0.39	% (18230)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_18117 for (1799ds/275Mi)
0.13/0.39	% (18225)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_18117 for (1799ds/183Mi)
0.13/0.39	% (18228)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_18117 for (1799ds/2Mi)
0.13/0.39	% (18231)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_18117 for (1799ds/18Mi)
0.13/0.39	% (18228)Instruction limit reached!
0.13/0.39	% (18228)------------------------------
0.13/0.39	% (18228)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.13/0.39	% (18228)Termination reason: Unknown
0.13/0.39	% (18229)Instruction limit reached!
0.13/0.39	% (18229)------------------------------
0.13/0.39	% (18229)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.13/0.39	% (18229)Termination reason: Unknown
0.13/0.39	% (18229)Termination phase: shuffling
0.13/0.39	
0.13/0.39	% (18229)Memory used [KB]: 1023
0.13/0.39	% (18229)Time elapsed: 0.004 s
0.13/0.39	% (18229)Instructions burned: 3 (million)
0.13/0.39	% (18229)------------------------------
0.13/0.39	% (18229)------------------------------
0.13/0.39	% (18228)Termination phase: shuffling
0.13/0.39	
0.13/0.39	% (18228)Memory used [KB]: 1023
0.13/0.39	% (18228)Time elapsed: 0.004 s
0.13/0.39	% (18228)Instructions burned: 2 (million)
0.13/0.39	% (18228)------------------------------
0.13/0.39	% (18228)------------------------------
0.13/0.39	% (18226)Instruction limit reached!
0.13/0.39	% (18226)------------------------------
0.13/0.39	% (18226)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.13/0.39	% (18226)Termination reason: Unknown
0.13/0.40	% (18226)Termination phase: Property scanning
0.13/0.40	
0.13/0.40	% (18226)Memory used [KB]: 1023
0.13/0.40	% (18226)Time elapsed: 0.005 s
0.13/0.40	% (18226)Instructions burned: 4 (million)
0.13/0.40	% (18226)------------------------------
0.13/0.40	% (18226)------------------------------
0.23/0.40	% (18231)Instruction limit reached!
0.23/0.40	% (18231)------------------------------
0.23/0.40	% (18231)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.40	% (18231)Termination reason: Unknown
0.23/0.40	% (18231)Termination phase: Saturation
0.23/0.40	
0.23/0.40	% (18231)Memory used [KB]: 5756
0.23/0.40	% (18231)Time elapsed: 0.014 s
0.23/0.40	% (18231)Instructions burned: 19 (million)
0.23/0.40	% (18231)------------------------------
0.23/0.40	% (18231)------------------------------
0.23/0.40	% (18225)First to succeed.
0.23/0.41	% (18234)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on E---3.1_18117 for (1799ds/15Mi)
0.23/0.41	% (18230)Also succeeded, but the first one will report.
0.23/0.41	% (18225)Refutation found. Thanks to Tanya!
0.23/0.41	% SZS status Theorem for E---3.1_18117
0.23/0.41	% SZS output start Proof for E---3.1_18117
0.23/0.41	thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
0.23/0.41	thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
0.23/0.41	thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
0.23/0.41	thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
0.23/0.41	thf(func_def_6, type, refl: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
0.23/0.41	thf(func_def_9, type, symm: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
0.23/0.41	thf(func_def_13, type, trans: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
0.23/0.41	thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
0.23/0.41	thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
0.23/0.41	thf(func_def_17, type, po: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_18, type, so: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_19, type, total: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_20, type, term: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_21, type, ind: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
0.23/0.41	thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
0.23/0.41	thf(func_def_24, type, norm: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
0.23/0.41	thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_28, type, confl: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_29, type, cr: ($i > $i > $o) > $o).
0.23/0.41	thf(func_def_44, type, sK0: $i > $i > $o).
0.23/0.41	thf(f282,plain,(
0.23/0.41	  $false),
0.23/0.41	  inference(avatar_sat_refutation,[],[f192,f197,f202,f207,f208,f209,f225,f280])).
0.23/0.41	thf(f280,plain,(
0.23/0.41	  ~spl1_1 | ~spl1_3 | ~spl1_4),
0.23/0.41	  inference(avatar_contradiction_clause,[],[f279])).
0.23/0.41	thf(f279,plain,(
0.23/0.41	  $false | (~spl1_1 | ~spl1_3 | ~spl1_4)),
0.23/0.41	  inference(trivial_inequality_removal,[],[f272])).
0.23/0.41	thf(f272,plain,(
0.23/0.41	  ($true = $false) | (~spl1_1 | ~spl1_3 | ~spl1_4)),
0.23/0.41	  inference(superposition,[],[f271,f196])).
0.23/0.41	thf(f196,plain,(
0.23/0.41	  ($true = (sK0 @ sK5 @ sK3)) | ~spl1_3),
0.23/0.41	  inference(avatar_component_clause,[],[f194])).
0.23/0.41	thf(f194,plain,(
0.23/0.41	  spl1_3 <=> ($true = (sK0 @ sK5 @ sK3))),
0.23/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
0.23/0.41	thf(f271,plain,(
0.23/0.41	  ($false = (sK0 @ sK5 @ sK3)) | (~spl1_1 | ~spl1_4)),
0.23/0.41	  inference(trivial_inequality_removal,[],[f266])).
0.23/0.41	thf(f266,plain,(
0.23/0.41	  ($false = (sK0 @ sK5 @ sK3)) | ($true = $false) | (~spl1_1 | ~spl1_4)),
0.23/0.41	  inference(superposition,[],[f201,f249])).
0.23/0.41	thf(f249,plain,(
0.23/0.41	  ( ! [X0 : $i] : (((sK0 @ sK4 @ X0) = $false) | ((sK0 @ X0 @ sK3) = $false)) ) | ~spl1_1),
0.23/0.41	  inference(trivial_inequality_removal,[],[f237])).
0.23/0.41	thf(f237,plain,(
0.23/0.41	  ( ! [X0 : $i] : (($true = $false) | ((sK0 @ sK4 @ X0) = $false) | ((sK0 @ X0 @ sK3) = $false)) ) | ~spl1_1),
0.23/0.41	  inference(superposition,[],[f158,f187])).
0.23/0.41	thf(f187,plain,(
0.23/0.41	  ((sK0 @ sK4 @ sK3) = $false) | ~spl1_1),
0.23/0.41	  inference(avatar_component_clause,[],[f185])).
0.23/0.41	thf(f185,plain,(
0.23/0.41	  spl1_1 <=> ((sK0 @ sK4 @ sK3) = $false)),
0.23/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
0.23/0.41	thf(f158,plain,(
0.23/0.41	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (sK0 @ X1 @ X2)) | ((sK0 @ X1 @ X3) = $false) | ((sK0 @ X3 @ X2) = $false)) )),
0.23/0.41	  inference(binary_proxy_clausification,[],[f157])).
0.23/0.41	thf(f157,plain,(
0.23/0.41	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (sK0 @ X1 @ X2)) | (((sK0 @ X3 @ X2) & (sK0 @ X1 @ X3)) = $false)) )),
0.23/0.41	  inference(binary_proxy_clausification,[],[f156])).
0.23/0.41	thf(f156,plain,(
0.23/0.41	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((sK0 @ X3 @ X2) & (sK0 @ X1 @ X3)) => (sK0 @ X1 @ X2)))) )),
0.23/0.41	  inference(beta_eta_normalization,[],[f155])).
0.23/0.41	thf(f155,plain,(
0.23/0.41	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((sK0 @ Y0 @ X2) & (sK0 @ X1 @ Y0)) => (sK0 @ X1 @ X2))) @ X3))) )),
0.23/0.41	  inference(pi_clausification,[],[f154])).
0.23/0.41	thf(f154,plain,(
0.23/0.41	  ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ X2) & (sK0 @ X1 @ Y0)) => (sK0 @ X1 @ X2)))))) )),
0.23/0.41	  inference(beta_eta_normalization,[],[f153])).
0.23/0.41	thf(f153,plain,(
0.23/0.41	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ X1 @ Y1)) => (sK0 @ X1 @ Y0))))) @ X2))) )),
0.23/0.41	  inference(pi_clausification,[],[f152])).
0.23/0.41	thf(f152,plain,(
0.23/0.41	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ Y0) & (sK0 @ X1 @ Y1)) => (sK0 @ X1 @ Y0)))))) = $true)) )),
0.23/0.41	  inference(beta_eta_normalization,[],[f151])).
0.23/0.41	thf(f151,plain,(
0.23/0.41	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y1) & (sK0 @ Y0 @ Y2)) => (sK0 @ Y0 @ Y1))))))) @ X1))) )),
0.23/0.41	  inference(pi_clausification,[],[f143])).
0.23/0.41	thf(f143,plain,(
0.23/0.41	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y1) & (sK0 @ Y0 @ Y2)) => (sK0 @ Y0 @ Y1)))))))))),
0.23/0.41	  inference(binary_proxy_clausification,[],[f142])).
0.23/0.41	thf(f142,plain,(
0.23/0.41	  ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (~ (sK0 @ Y0 @ Y1))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y1) & (sK0 @ Y0 @ Y2)) => (sK0 @ Y0 @ Y1))))))))))),
0.23/0.41	  inference(beta_eta_normalization,[],[f141])).
0.23/0.41	thf(f141,plain,(
0.23/0.41	  ($true = ((^[Y0 : $i > $i > $o]: (((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (~ (Y1 @ Y2 @ Y3)))))))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3))))))))) @ Y0))) @ sK0))),
0.23/0.41	  inference(definition_unfolding,[],[f121,f131])).
0.23/0.41	thf(f131,plain,(
0.23/0.41	  (so = (^[Y0 : $i > $i > $o]: (((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (~ (Y1 @ Y2 @ Y3)))))))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3))))))))) @ Y0))))),
0.23/0.41	  inference(definition_unfolding,[],[f102,f120,f103])).
0.23/0.41	thf(f103,plain,(
0.23/0.41	  (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))))),
0.23/0.41	  inference(cnf_transformation,[],[f69])).
0.23/0.41	thf(f69,plain,(
0.23/0.41	  (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))))),
0.23/0.41	  inference(fool_elimination,[],[f68])).
0.23/0.41	thf(f68,plain,(
0.23/0.41	  ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X3 @ X1) & (X0 @ X1 @ X2)) => (X0 @ X3 @ X2)))) = trans)),
0.23/0.41	  inference(rectify,[],[f13])).
0.23/0.41	thf(f13,axiom,(
0.23/0.41	  ((^[X0 : $i > $i > $o] : (! [X3,X5,X2] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X5)) => (X0 @ X2 @ X5)))) = trans)),
0.23/0.41	  file('/export/starexec/sandbox/tmp/tmp.RfgaLoDSAT/E---3.1_18117.p',transitive)).
0.23/0.41	thf(f120,plain,(
0.23/0.41	  (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (~ (Y0 @ Y1 @ Y2)))))))))),
0.23/0.41	  inference(cnf_transformation,[],[f63])).
0.23/0.41	thf(f63,plain,(
0.23/0.41	  (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (~ (Y0 @ Y1 @ Y2)))))))))),
0.23/0.41	  inference(fool_elimination,[],[f62])).
0.23/0.41	thf(f62,plain,(
0.23/0.41	  (asymm = (^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X1 @ X2) => ~(X0 @ X2 @ X1)))))),
0.23/0.41	  inference(rectify,[],[f11])).
0.23/0.41	thf(f11,axiom,(
0.23/0.41	  (asymm = (^[X0 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => ~(X0 @ X3 @ X2)))))),
0.23/0.41	  file('/export/starexec/sandbox/tmp/tmp.RfgaLoDSAT/E---3.1_18117.p',asymmetric)).
0.23/0.41	thf(f102,plain,(
0.23/0.41	  (so = (^[Y0 : $i > $i > $o]: ((asymm @ Y0) & (trans @ Y0))))),
0.23/0.41	  inference(cnf_transformation,[],[f88])).
0.23/0.41	thf(f88,plain,(
0.23/0.41	  (so = (^[Y0 : $i > $i > $o]: ((asymm @ Y0) & (trans @ Y0))))),
0.23/0.41	  inference(fool_elimination,[],[f87])).
0.23/0.41	thf(f87,plain,(
0.23/0.41	  (so = (^[X0 : $i > $i > $o] : ((trans @ X0) & (asymm @ X0))))),
0.23/0.41	  inference(rectify,[],[f18])).
0.23/0.41	thf(f18,axiom,(
0.23/0.41	  (so = (^[X0 : $i > $i > $o] : ((trans @ X0) & (asymm @ X0))))),
0.23/0.41	  file('/export/starexec/sandbox/tmp/tmp.RfgaLoDSAT/E---3.1_18117.p',strict_order)).
0.23/0.41	thf(f121,plain,(
0.23/0.41	  ((so @ sK0) = $true)),
0.23/0.41	  inference(cnf_transformation,[],[f93])).
0.23/0.41	thf(f93,plain,(
0.23/0.41	  ($true != (so @ (inv @ sK0))) & ((so @ sK0) = $true)),
0.23/0.41	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f91,f92])).
0.23/0.41	thf(f92,plain,(
0.23/0.41	  ? [X0 : $i > $i > $o] : (((so @ (inv @ X0)) != $true) & ((so @ X0) = $true)) => (($true != (so @ (inv @ sK0))) & ((so @ sK0) = $true))),
0.23/0.41	  introduced(choice_axiom,[])).
0.23/0.41	thf(f91,plain,(
0.23/0.41	  ? [X0 : $i > $i > $o] : (((so @ (inv @ X0)) != $true) & ((so @ X0) = $true))),
0.23/0.41	  inference(ennf_transformation,[],[f43])).
0.23/0.41	thf(f43,plain,(
0.23/0.41	  ~! [X0 : $i > $i > $o] : (((so @ X0) = $true) => ((so @ (inv @ X0)) = $true))),
0.23/0.41	  inference(fool_elimination,[],[f42])).
0.23/0.41	thf(f42,plain,(
0.23/0.41	  ~! [X0 : $i > $i > $o] : ((so @ X0) => (so @ (inv @ X0)))),
0.23/0.41	  inference(rectify,[],[f31])).
0.23/0.41	thf(f31,negated_conjecture,(
0.23/0.41	  ~! [X0 : $i > $i > $o] : ((so @ X0) => (so @ (inv @ X0)))),
0.23/0.41	  inference(negated_conjecture,[],[f30])).
0.23/0.41	thf(f30,conjecture,(
0.23/0.41	  ! [X0 : $i > $i > $o] : ((so @ X0) => (so @ (inv @ X0)))),
0.23/0.41	  file('/export/starexec/sandbox/tmp/tmp.RfgaLoDSAT/E---3.1_18117.p',inverse_of_strict_order_is_strict_order)).
0.23/0.41	thf(f201,plain,(
0.23/0.41	  ((sK0 @ sK4 @ sK5) = $true) | ~spl1_4),
0.23/0.41	  inference(avatar_component_clause,[],[f199])).
0.23/0.41	thf(f199,plain,(
0.23/0.41	  spl1_4 <=> ((sK0 @ sK4 @ sK5) = $true)),
0.23/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
0.23/0.41	thf(f225,plain,(
0.23/0.41	  ~spl1_2 | ~spl1_5),
0.23/0.41	  inference(avatar_contradiction_clause,[],[f224])).
0.23/0.41	thf(f224,plain,(
0.23/0.41	  $false | (~spl1_2 | ~spl1_5)),
0.23/0.41	  inference(trivial_inequality_removal,[],[f221])).
0.23/0.41	thf(f221,plain,(
0.23/0.41	  ($true = $false) | (~spl1_2 | ~spl1_5)),
0.23/0.41	  inference(superposition,[],[f206,f215])).
0.23/0.41	thf(f215,plain,(
0.23/0.41	  ((sK0 @ sK2 @ sK6) = $false) | ~spl1_2),
0.23/0.41	  inference(trivial_inequality_removal,[],[f213])).
0.23/0.41	thf(f213,plain,(
0.23/0.41	  ((sK0 @ sK2 @ sK6) = $false) | ($true = $false) | ~spl1_2),
0.23/0.41	  inference(superposition,[],[f150,f191])).
0.23/0.41	thf(f191,plain,(
0.23/0.41	  ((sK0 @ sK6 @ sK2) = $true) | ~spl1_2),
0.23/0.41	  inference(avatar_component_clause,[],[f189])).
0.23/0.41	thf(f189,plain,(
0.23/0.41	  spl1_2 <=> ((sK0 @ sK6 @ sK2) = $true)),
0.23/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
0.23/0.41	thf(f150,plain,(
0.23/0.41	  ( ! [X2 : $i,X1 : $i] : (($false = (sK0 @ X1 @ X2)) | ((sK0 @ X2 @ X1) = $false)) )),
0.23/0.41	  inference(not_proxy_clausification,[],[f149])).
0.23/0.41	thf(f149,plain,(
0.23/0.41	  ( ! [X2 : $i,X1 : $i] : (($true = (~ (sK0 @ X1 @ X2))) | ((sK0 @ X2 @ X1) = $false)) )),
0.23/0.41	  inference(binary_proxy_clausification,[],[f148])).
0.23/0.41	thf(f148,plain,(
0.23/0.41	  ( ! [X2 : $i,X1 : $i] : ((((sK0 @ X2 @ X1) => (~ (sK0 @ X1 @ X2))) = $true)) )),
0.23/0.41	  inference(beta_eta_normalization,[],[f147])).
0.23/0.41	thf(f147,plain,(
0.23/0.41	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((sK0 @ Y0 @ X1) => (~ (sK0 @ X1 @ Y0)))) @ X2) = $true)) )),
0.23/0.41	  inference(pi_clausification,[],[f146])).
0.23/0.41	thf(f146,plain,(
0.23/0.41	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X1) => (~ (sK0 @ X1 @ Y0))))) = $true)) )),
0.23/0.41	  inference(beta_eta_normalization,[],[f145])).
0.23/0.41	thf(f145,plain,(
0.23/0.41	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (~ (sK0 @ Y0 @ Y1)))))) @ X1))) )),
0.23/0.41	  inference(pi_clausification,[],[f144])).
0.23/0.41	thf(f144,plain,(
0.23/0.41	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (~ (sK0 @ Y0 @ Y1))))))) = $true)),
0.23/0.41	  inference(binary_proxy_clausification,[],[f142])).
0.23/0.41	thf(f206,plain,(
0.23/0.41	  ($true = (sK0 @ sK2 @ sK6)) | ~spl1_5),
0.23/0.41	  inference(avatar_component_clause,[],[f204])).
0.23/0.41	thf(f204,plain,(
0.23/0.41	  spl1_5 <=> ($true = (sK0 @ sK2 @ sK6))),
0.23/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
0.23/0.41	thf(f209,plain,(
0.23/0.41	  spl1_5 | spl1_4),
0.23/0.41	  inference(avatar_split_clause,[],[f176,f199,f204])).
0.23/0.41	thf(f176,plain,(
0.23/0.41	  ((sK0 @ sK4 @ sK5) = $true) | ($true = (sK0 @ sK2 @ sK6))),
0.23/0.41	  inference(binary_proxy_clausification,[],[f174])).
0.23/0.41	thf(f174,plain,(
0.23/0.41	  ($true = ((sK0 @ sK4 @ sK5) & (sK0 @ sK5 @ sK3))) | ($true = (sK0 @ sK2 @ sK6))),
0.23/0.41	  inference(binary_proxy_clausification,[],[f172])).
0.23/0.41	thf(f172,plain,(
0.23/0.41	  ((((sK0 @ sK4 @ sK5) & (sK0 @ sK5 @ sK3)) => (sK0 @ sK4 @ sK3)) = $false) | ($true = (sK0 @ sK2 @ sK6))),
0.23/0.41	  inference(binary_proxy_clausification,[],[f170])).
0.23/0.41	thf(f170,plain,(
0.23/0.41	  (((sK0 @ sK2 @ sK6) => (~ (sK0 @ sK6 @ sK2))) = $false) | ((((sK0 @ sK4 @ sK5) & (sK0 @ sK5 @ sK3)) => (sK0 @ sK4 @ sK3)) = $false)),
0.23/0.41	  inference(beta_eta_normalization,[],[f169])).
0.23/0.41	thf(f169,plain,(
0.23/0.41	  ((((sK0 @ sK4 @ sK5) & (sK0 @ sK5 @ sK3)) => (sK0 @ sK4 @ sK3)) = $false) | (((^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (~ (sK0 @ Y0 @ sK2)))) @ sK6) = $false)),
0.23/0.41	  inference(sigma_clausification,[],[f168])).
0.23/0.41	thf(f168,plain,(
0.23/0.41	  ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (~ (sK0 @ Y0 @ sK2))))) = $false) | ((((sK0 @ sK4 @ sK5) & (sK0 @ sK5 @ sK3)) => (sK0 @ sK4 @ sK3)) = $false)),
0.23/0.41	  inference(beta_eta_normalization,[],[f167])).
0.23/0.41	thf(f167,plain,(
0.23/0.41	  (((^[Y0 : $i]: (((sK0 @ sK4 @ Y0) & (sK0 @ Y0 @ sK3)) => (sK0 @ sK4 @ sK3))) @ sK5) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (~ (sK0 @ Y0 @ sK2))))) = $false)),
0.23/0.41	  inference(sigma_clausification,[],[f166])).
0.23/0.41	thf(f166,plain,(
0.23/0.41	  ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ sK4 @ Y0) & (sK0 @ Y0 @ sK3)) => (sK0 @ sK4 @ sK3)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (~ (sK0 @ Y0 @ sK2))))) = $false)),
0.23/0.41	  inference(beta_eta_normalization,[],[f165])).
0.23/0.41	thf(f165,plain,(
0.23/0.41	  ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (~ (sK0 @ Y0 @ sK2))))) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ sK3)) => (sK0 @ Y0 @ sK3))))) @ sK4) = $false)),
0.23/0.41	  inference(sigma_clausification,[],[f164])).
0.23/0.41	thf(f164,plain,(
0.23/0.41	  ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y0 @ Y1) & (sK0 @ Y1 @ sK3)) => (sK0 @ Y0 @ sK3))))))) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (~ (sK0 @ Y0 @ sK2))))) = $false)),
0.23/0.41	  inference(beta_eta_normalization,[],[f163])).
0.23/0.41	thf(f163,plain,(
0.23/0.41	  (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0))))))) @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (~ (sK0 @ Y0 @ sK2))))) = $false)),
0.23/0.41	  inference(sigma_clausification,[],[f162])).
0.23/0.41	thf(f162,plain,(
0.23/0.41	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (~ (sK0 @ Y0 @ sK2))))) = $false)),
0.23/0.41	  inference(beta_eta_normalization,[],[f161])).
0.23/0.41	thf(f161,plain,(
0.23/0.41	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (~ (sK0 @ Y1 @ Y0)))))) @ sK2) = $false)),
0.23/0.41	  inference(sigma_clausification,[],[f160])).
0.23/0.41	thf(f160,plain,(
0.23/0.41	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (~ (sK0 @ Y1 @ Y0))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0)))))))) = $false)),
0.23/0.41	  inference(binary_proxy_clausification,[],[f159])).
0.23/0.41	thf(f159,plain,(
0.23/0.41	  (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (~ (sK0 @ Y1 @ Y0))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y1 @ Y2) & (sK0 @ Y2 @ Y0)) => (sK0 @ Y1 @ Y0))))))))) != $true)),
0.23/0.41	  inference(beta_eta_normalization,[],[f140])).
0.23/0.41	thf(f140,plain,(
0.23/0.41	  ($true != ((^[Y0 : $i > $i > $o]: (((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (~ (Y1 @ Y2 @ Y3)))))))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y4 @ Y3) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y2 @ Y3))))))))) @ Y0))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ sK0)))),
0.23/0.41	  inference(definition_unfolding,[],[f122,f131,f108])).
0.23/0.41	thf(f108,plain,(
0.23/0.41	  (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
0.23/0.41	  inference(cnf_transformation,[],[f41])).
0.23/0.41	thf(f41,plain,(
0.23/0.41	  (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
0.23/0.41	  inference(fool_elimination,[],[f40])).
0.23/0.41	thf(f40,plain,(
0.23/0.41	  ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (X0 @ X2 @ X1)) = inv)),
0.23/0.41	  inference(rectify,[],[f2])).
0.23/0.41	thf(f2,axiom,(
0.23/0.41	  ((^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : (X0 @ X3 @ X2)) = inv)),
0.23/0.41	  file('/export/starexec/sandbox/tmp/tmp.RfgaLoDSAT/E---3.1_18117.p',inverse)).
0.23/0.41	thf(f122,plain,(
0.23/0.41	  ($true != (so @ (inv @ sK0)))),
0.23/0.41	  inference(cnf_transformation,[],[f93])).
0.23/0.41	thf(f208,plain,(
0.23/0.41	  spl1_3 | spl1_5),
0.23/0.41	  inference(avatar_split_clause,[],[f175,f204,f194])).
0.23/0.41	thf(f175,plain,(
0.23/0.41	  ($true = (sK0 @ sK5 @ sK3)) | ($true = (sK0 @ sK2 @ sK6))),
0.23/0.41	  inference(binary_proxy_clausification,[],[f174])).
0.23/0.41	thf(f207,plain,(
0.23/0.41	  spl1_1 | spl1_5),
0.23/0.41	  inference(avatar_split_clause,[],[f173,f204,f185])).
0.23/0.41	thf(f173,plain,(
0.23/0.41	  ((sK0 @ sK4 @ sK3) = $false) | ($true = (sK0 @ sK2 @ sK6))),
0.23/0.41	  inference(binary_proxy_clausification,[],[f172])).
0.23/0.41	thf(f202,plain,(
0.23/0.41	  spl1_4 | spl1_2),
0.23/0.41	  inference(avatar_split_clause,[],[f181,f189,f199])).
0.23/0.41	thf(f181,plain,(
0.23/0.41	  ((sK0 @ sK6 @ sK2) = $true) | ((sK0 @ sK4 @ sK5) = $true)),
0.23/0.41	  inference(not_proxy_clausification,[],[f180])).
0.23/0.41	thf(f180,plain,(
0.23/0.41	  ((~ (sK0 @ sK6 @ sK2)) = $false) | ((sK0 @ sK4 @ sK5) = $true)),
0.23/0.41	  inference(binary_proxy_clausification,[],[f178])).
0.23/0.41	thf(f178,plain,(
0.23/0.41	  ($true = ((sK0 @ sK4 @ sK5) & (sK0 @ sK5 @ sK3))) | ((~ (sK0 @ sK6 @ sK2)) = $false)),
0.23/0.41	  inference(binary_proxy_clausification,[],[f171])).
0.23/0.41	thf(f171,plain,(
0.23/0.41	  ((((sK0 @ sK4 @ sK5) & (sK0 @ sK5 @ sK3)) => (sK0 @ sK4 @ sK3)) = $false) | ((~ (sK0 @ sK6 @ sK2)) = $false)),
0.23/0.41	  inference(binary_proxy_clausification,[],[f170])).
0.23/0.41	thf(f197,plain,(
0.23/0.41	  spl1_3 | spl1_2),
0.23/0.41	  inference(avatar_split_clause,[],[f182,f189,f194])).
0.23/0.41	thf(f182,plain,(
0.23/0.41	  ($true = (sK0 @ sK5 @ sK3)) | ((sK0 @ sK6 @ sK2) = $true)),
0.23/0.41	  inference(not_proxy_clausification,[],[f179])).
0.23/0.41	thf(f179,plain,(
0.23/0.41	  ($true = (sK0 @ sK5 @ sK3)) | ((~ (sK0 @ sK6 @ sK2)) = $false)),
0.23/0.41	  inference(binary_proxy_clausification,[],[f178])).
0.23/0.41	thf(f192,plain,(
0.23/0.41	  spl1_1 | spl1_2),
0.23/0.41	  inference(avatar_split_clause,[],[f183,f189,f185])).
0.23/0.41	thf(f183,plain,(
0.23/0.41	  ((sK0 @ sK4 @ sK3) = $false) | ((sK0 @ sK6 @ sK2) = $true)),
0.23/0.41	  inference(not_proxy_clausification,[],[f177])).
0.23/0.41	thf(f177,plain,(
0.23/0.41	  ((sK0 @ sK4 @ sK3) = $false) | ((~ (sK0 @ sK6 @ sK2)) = $false)),
0.23/0.41	  inference(binary_proxy_clausification,[],[f171])).
0.23/0.41	% SZS output end Proof for E---3.1_18117
0.23/0.41	% (18225)------------------------------
0.23/0.41	% (18225)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.23/0.41	% (18225)Termination reason: Refutation
0.23/0.41	
0.23/0.41	% (18225)Memory used [KB]: 5756
0.23/0.41	% (18225)Time elapsed: 0.018 s
0.23/0.41	% (18225)Instructions burned: 18 (million)
0.23/0.41	% (18225)------------------------------
0.23/0.41	% (18225)------------------------------
0.23/0.41	% (18224)Success in time 0.02 s
0.23/0.41	EOF