TSTP Solution File: SEV062^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV062^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:41:13 EDT 2024
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : SEV062^5 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.38 % Computer : n009.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Fri May 3 12:00:40 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.15/0.38 This is a TH0_THM_NEQ_NAR problem
% 0.22/0.38 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.TLJUggkn0A/Vampire---4.8_24678
% 0.22/0.40 % (24786)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.22/0.40 % (24787)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 Vampire---4 for (3000ds/4Mi)
% 0.22/0.40 % (24789)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.22/0.40 % (24790)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.22/0.40 % (24791)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.22/0.40 % (24792)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.22/0.40 % (24793)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.22/0.40 % (24788)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 Vampire---4 for (3000ds/27Mi)
% 0.22/0.40 % (24789)Instruction limit reached!
% 0.22/0.40 % (24789)------------------------------
% 0.22/0.40 % (24789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (24790)Instruction limit reached!
% 0.22/0.40 % (24790)------------------------------
% 0.22/0.40 % (24790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (24790)Termination reason: Unknown
% 0.22/0.40 % (24790)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (24790)Memory used [KB]: 895
% 0.22/0.40 % (24790)Time elapsed: 0.003 s
% 0.22/0.40 % (24790)Instructions burned: 2 (million)
% 0.22/0.40 % (24790)------------------------------
% 0.22/0.40 % (24790)------------------------------
% 0.22/0.40 % (24789)Termination reason: Unknown
% 0.22/0.40 % (24789)Termination phase: Preprocessing 3
% 0.22/0.40
% 0.22/0.40 % (24789)Memory used [KB]: 895
% 0.22/0.40 % (24789)Time elapsed: 0.003 s
% 0.22/0.40 % (24789)Instructions burned: 2 (million)
% 0.22/0.40 % (24789)------------------------------
% 0.22/0.40 % (24789)------------------------------
% 0.22/0.40 % (24793)Instruction limit reached!
% 0.22/0.40 % (24793)------------------------------
% 0.22/0.40 % (24793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (24793)Termination reason: Unknown
% 0.22/0.40 % (24793)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (24793)Memory used [KB]: 5500
% 0.22/0.40 % (24793)Time elapsed: 0.004 s
% 0.22/0.40 % (24793)Instructions burned: 3 (million)
% 0.22/0.40 % (24793)------------------------------
% 0.22/0.40 % (24793)------------------------------
% 0.22/0.40 % (24787)Instruction limit reached!
% 0.22/0.40 % (24787)------------------------------
% 0.22/0.40 % (24787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (24787)Termination reason: Unknown
% 0.22/0.40 % (24787)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (24787)Memory used [KB]: 5500
% 0.22/0.40 % (24787)Time elapsed: 0.005 s
% 0.22/0.40 % (24787)Instructions burned: 4 (million)
% 0.22/0.40 % (24787)------------------------------
% 0.22/0.40 % (24787)------------------------------
% 0.22/0.41 % (24792)Instruction limit reached!
% 0.22/0.41 % (24792)------------------------------
% 0.22/0.41 % (24792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (24792)Termination reason: Unknown
% 0.22/0.41 % (24792)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (24792)Memory used [KB]: 5628
% 0.22/0.41 % (24792)Time elapsed: 0.014 s
% 0.22/0.41 % (24792)Instructions burned: 19 (million)
% 0.22/0.41 % (24792)------------------------------
% 0.22/0.41 % (24792)------------------------------
% 0.22/0.41 % (24794)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.22/0.41 % (24795)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 Vampire---4 for (2999ds/15Mi)
% 0.22/0.41 % (24788)First to succeed.
% 0.22/0.41 % (24796)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.42 % (24797)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.22/0.42 % (24796)Instruction limit reached!
% 0.22/0.42 % (24796)------------------------------
% 0.22/0.42 % (24796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (24796)Termination reason: Unknown
% 0.22/0.42 % (24796)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (24796)Memory used [KB]: 5500
% 0.22/0.42 % (24796)Time elapsed: 0.004 s
% 0.22/0.42 % (24796)Instructions burned: 3 (million)
% 0.22/0.42 % (24796)------------------------------
% 0.22/0.42 % (24796)------------------------------
% 0.22/0.42 % (24788)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for Vampire---4
% 0.22/0.42 % SZS output start Proof for Vampire---4
% 0.22/0.42 thf(func_def_1, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.22/0.42 thf(func_def_6, type, sK2: $i > $i > $o).
% 0.22/0.42 thf(func_def_7, type, sK3: ($i > $i > $o) > $i).
% 0.22/0.42 thf(func_def_8, type, sK4: ($i > $i > $o) > $i).
% 0.22/0.42 thf(func_def_9, type, sK5: ($i > $i > $o) > $i).
% 0.22/0.42 thf(func_def_10, type, sK6: ($i > $i > $o) > $i).
% 0.22/0.42 thf(func_def_11, type, sK7: ($i > $i > $o) > $i).
% 0.22/0.42 thf(func_def_12, type, sK8: $i > $i > $o).
% 0.22/0.42 thf(func_def_14, type, ph10: !>[X0: $tType]:(X0)).
% 0.22/0.42 thf(f171,plain,(
% 0.22/0.42 $false),
% 0.22/0.42 inference(avatar_sat_refutation,[],[f108,f137,f142,f145,f150,f159,f170])).
% 0.22/0.42 thf(f170,plain,(
% 0.22/0.42 spl9_7 | ~spl9_9 | ~spl9_11),
% 0.22/0.42 inference(avatar_split_clause,[],[f167,f156,f115,f105])).
% 0.22/0.42 thf(f105,plain,(
% 0.22/0.42 spl9_7 <=> ($true = (sK8 @ sK1 @ sK0))),
% 0.22/0.42 introduced(avatar_definition,[new_symbols(naming,[spl9_7])])).
% 0.22/0.42 thf(f115,plain,(
% 0.22/0.42 spl9_9 <=> ((sK8 @ (sK5 @ sK8) @ (sK7 @ sK8)) = $true)),
% 0.22/0.42 introduced(avatar_definition,[new_symbols(naming,[spl9_9])])).
% 0.22/0.42 thf(f156,plain,(
% 0.22/0.42 spl9_11 <=> ($true = (sK2 @ (sK4 @ sK8) @ (sK3 @ sK8)))),
% 0.22/0.42 introduced(avatar_definition,[new_symbols(naming,[spl9_11])])).
% 0.22/0.42 thf(f167,plain,(
% 0.22/0.42 ((sK8 @ (sK5 @ sK8) @ (sK7 @ sK8)) != $true) | ($true = (sK8 @ sK1 @ sK0)) | ~spl9_11),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f163])).
% 0.22/0.42 thf(f163,plain,(
% 0.22/0.42 ((sK8 @ (sK5 @ sK8) @ (sK7 @ sK8)) != $true) | ($true != $true) | ($true = (sK8 @ sK1 @ sK0)) | ~spl9_11),
% 0.22/0.42 inference(superposition,[],[f19,f161])).
% 0.22/0.42 thf(f161,plain,(
% 0.22/0.42 ((sK8 @ (sK4 @ sK8) @ (sK3 @ sK8)) = $true) | ~spl9_11),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f160])).
% 0.22/0.42 thf(f160,plain,(
% 0.22/0.42 ($true != $true) | ((sK8 @ (sK4 @ sK8) @ (sK3 @ sK8)) = $true) | ~spl9_11),
% 0.22/0.42 inference(superposition,[],[f14,f158])).
% 0.22/0.42 thf(f158,plain,(
% 0.22/0.42 ($true = (sK2 @ (sK4 @ sK8) @ (sK3 @ sK8))) | ~spl9_11),
% 0.22/0.42 inference(avatar_component_clause,[],[f156])).
% 0.22/0.42 thf(f14,plain,(
% 0.22/0.42 ( ! [X14 : $i,X13 : $i] : (((sK2 @ X14 @ X13) != $true) | ((sK8 @ X14 @ X13) = $true)) )),
% 0.22/0.42 inference(cnf_transformation,[],[f13])).
% 0.22/0.42 thf(f13,plain,(
% 0.22/0.42 ! [X3 : $i > $i > $o] : ((((sK2 @ (sK4 @ X3) @ (sK3 @ X3)) = $true) & ($true != (X3 @ (sK4 @ X3) @ (sK3 @ X3)))) | (((X3 @ (sK5 @ X3) @ (sK7 @ X3)) != $true) & ((X3 @ (sK5 @ X3) @ (sK6 @ X3)) = $true) & ($true = (sK2 @ (sK6 @ X3) @ (sK7 @ X3)))) | ((X3 @ sK1 @ sK0) = $true)) & (! [X10,X11,X12] : (($true != (sK8 @ X10 @ X12)) | ($true != (sK8 @ X11 @ X10)) | ((sK8 @ X11 @ X12) = $true)) & ($true != (sK8 @ sK1 @ sK0)) & ! [X13,X14] : (((sK8 @ X14 @ X13) = $true) | ((sK2 @ X14 @ X13) != $true)))),
% 0.22/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f8,f12,f11,f10,f9])).
% 0.22/0.42 thf(f9,plain,(
% 0.22/0.42 ? [X0,X1,X2 : $i > $i > $o] : (! [X3 : $i > $i > $o] : (? [X4,X5] : (((X2 @ X5 @ X4) = $true) & ($true != (X3 @ X5 @ X4))) | ? [X6,X7,X8] : (((X3 @ X6 @ X8) != $true) & ((X3 @ X6 @ X7) = $true) & ($true = (X2 @ X7 @ X8))) | ($true = (X3 @ X1 @ X0))) & ? [X9 : $i > $i > $o] : (! [X10,X11,X12] : (($true != (X9 @ X10 @ X12)) | ($true != (X9 @ X11 @ X10)) | ((X9 @ X11 @ X12) = $true)) & ($true != (X9 @ X1 @ X0)) & ! [X13,X14] : (((X9 @ X14 @ X13) = $true) | ($true != (X2 @ X14 @ X13))))) => (! [X3 : $i > $i > $o] : (? [X5,X4] : (($true = (sK2 @ X5 @ X4)) & ($true != (X3 @ X5 @ X4))) | ? [X8,X7,X6] : (((X3 @ X6 @ X8) != $true) & ((X3 @ X6 @ X7) = $true) & ($true = (sK2 @ X7 @ X8))) | ((X3 @ sK1 @ sK0) = $true)) & ? [X9 : $i > $i > $o] : (! [X10,X11,X12] : (($true != (X9 @ X10 @ X12)) | ($true != (X9 @ X11 @ X10)) | ((X9 @ X11 @ X12) = $true)) & ((X9 @ sK1 @ sK0) != $true) & ! [X14,X13] : (((X9 @ X14 @ X13) = $true) | ((sK2 @ X14 @ X13) != $true))))),
% 0.22/0.42 introduced(choice_axiom,[])).
% 0.22/0.42 thf(f10,plain,(
% 0.22/0.42 ! [X3 : $i > $i > $o] : (? [X5,X4] : (($true = (sK2 @ X5 @ X4)) & ($true != (X3 @ X5 @ X4))) => (((sK2 @ (sK4 @ X3) @ (sK3 @ X3)) = $true) & ($true != (X3 @ (sK4 @ X3) @ (sK3 @ X3)))))),
% 0.22/0.42 introduced(choice_axiom,[])).
% 0.22/0.42 thf(f11,plain,(
% 0.22/0.42 ! [X3 : $i > $i > $o] : (? [X8,X7,X6] : (((X3 @ X6 @ X8) != $true) & ((X3 @ X6 @ X7) = $true) & ($true = (sK2 @ X7 @ X8))) => (((X3 @ (sK5 @ X3) @ (sK7 @ X3)) != $true) & ((X3 @ (sK5 @ X3) @ (sK6 @ X3)) = $true) & ($true = (sK2 @ (sK6 @ X3) @ (sK7 @ X3)))))),
% 0.22/0.42 introduced(choice_axiom,[])).
% 0.22/0.42 thf(f12,plain,(
% 0.22/0.42 ? [X9 : $i > $i > $o] : (! [X10,X11,X12] : (($true != (X9 @ X10 @ X12)) | ($true != (X9 @ X11 @ X10)) | ((X9 @ X11 @ X12) = $true)) & ((X9 @ sK1 @ sK0) != $true) & ! [X14,X13] : (((X9 @ X14 @ X13) = $true) | ((sK2 @ X14 @ X13) != $true))) => (! [X12,X11,X10] : (($true != (sK8 @ X10 @ X12)) | ($true != (sK8 @ X11 @ X10)) | ((sK8 @ X11 @ X12) = $true)) & ($true != (sK8 @ sK1 @ sK0)) & ! [X14,X13] : (((sK8 @ X14 @ X13) = $true) | ((sK2 @ X14 @ X13) != $true)))),
% 0.22/0.42 introduced(choice_axiom,[])).
% 0.22/0.42 thf(f8,plain,(
% 0.22/0.42 ? [X0,X1,X2 : $i > $i > $o] : (! [X3 : $i > $i > $o] : (? [X4,X5] : (((X2 @ X5 @ X4) = $true) & ($true != (X3 @ X5 @ X4))) | ? [X6,X7,X8] : (((X3 @ X6 @ X8) != $true) & ((X3 @ X6 @ X7) = $true) & ($true = (X2 @ X7 @ X8))) | ($true = (X3 @ X1 @ X0))) & ? [X9 : $i > $i > $o] : (! [X10,X11,X12] : (($true != (X9 @ X10 @ X12)) | ($true != (X9 @ X11 @ X10)) | ((X9 @ X11 @ X12) = $true)) & ($true != (X9 @ X1 @ X0)) & ! [X13,X14] : (((X9 @ X14 @ X13) = $true) | ($true != (X2 @ X14 @ X13)))))),
% 0.22/0.42 inference(rectify,[],[f7])).
% 0.22/0.42 thf(f7,plain,(
% 0.22/0.42 ? [X2,X0,X1 : $i > $i > $o] : (! [X3 : $i > $i > $o] : (? [X5,X4] : (((X1 @ X4 @ X5) = $true) & ((X3 @ X4 @ X5) != $true)) | ? [X7,X8,X6] : (((X3 @ X7 @ X6) != $true) & ((X3 @ X7 @ X8) = $true) & ($true = (X1 @ X8 @ X6))) | ($true = (X3 @ X0 @ X2))) & ? [X9 : $i > $i > $o] : (! [X12,X14,X13] : (((X9 @ X12 @ X13) != $true) | ($true != (X9 @ X14 @ X12)) | ((X9 @ X14 @ X13) = $true)) & ($true != (X9 @ X0 @ X2)) & ! [X10,X11] : (($true = (X9 @ X11 @ X10)) | ((X1 @ X11 @ X10) != $true))))),
% 0.22/0.42 inference(flattening,[],[f6])).
% 0.22/0.42 thf(f6,plain,(
% 0.22/0.42 ? [X0,X1 : $i > $i > $o,X2] : (? [X9 : $i > $i > $o] : (($true != (X9 @ X0 @ X2)) & (! [X14,X13,X12] : (((X9 @ X14 @ X13) = $true) | (((X9 @ X12 @ X13) != $true) | ($true != (X9 @ X14 @ X12)))) & ! [X10,X11] : (($true = (X9 @ X11 @ X10)) | ((X1 @ X11 @ X10) != $true)))) & ! [X3 : $i > $i > $o] : (($true = (X3 @ X0 @ X2)) | (? [X5,X4] : (((X1 @ X4 @ X5) = $true) & ((X3 @ X4 @ X5) != $true)) | ? [X6,X8,X7] : (((X3 @ X7 @ X6) != $true) & (($true = (X1 @ X8 @ X6)) & ((X3 @ X7 @ X8) = $true))))))),
% 0.22/0.42 inference(ennf_transformation,[],[f5])).
% 0.22/0.42 thf(f5,plain,(
% 0.22/0.42 ~! [X0,X1 : $i > $i > $o,X2] : (! [X3 : $i > $i > $o] : ((! [X4,X5] : (((X1 @ X4 @ X5) = $true) => ((X3 @ X4 @ X5) = $true)) & ! [X6,X8,X7] : ((($true = (X1 @ X8 @ X6)) & ((X3 @ X7 @ X8) = $true)) => ((X3 @ X7 @ X6) = $true))) => ($true = (X3 @ X0 @ X2))) => ! [X9 : $i > $i > $o] : ((! [X14,X13,X12] : ((((X9 @ X12 @ X13) = $true) & ($true = (X9 @ X14 @ X12))) => ((X9 @ X14 @ X13) = $true)) & ! [X11,X10] : (((X1 @ X11 @ X10) = $true) => ($true = (X9 @ X11 @ X10)))) => ($true = (X9 @ X0 @ X2))))),
% 0.22/0.42 inference(fool_elimination,[],[f4])).
% 0.22/0.42 thf(f4,plain,(
% 0.22/0.42 ~! [X0,X1 : $i > $i > $o,X2] : (! [X3 : $i > $i > $o] : ((! [X4,X5] : ((X1 @ X4 @ X5) => (X3 @ X4 @ X5)) & ! [X6,X7,X8] : (((X1 @ X8 @ X6) & (X3 @ X7 @ X8)) => (X3 @ X7 @ X6))) => (X3 @ X0 @ X2)) => ! [X9 : $i > $i > $o] : ((! [X10,X11] : ((X1 @ X11 @ X10) => (X9 @ X11 @ X10)) & ! [X12,X13,X14] : (((X9 @ X14 @ X12) & (X9 @ X12 @ X13)) => (X9 @ X14 @ X13))) => (X9 @ X0 @ X2)))),
% 0.22/0.42 inference(rectify,[],[f2])).
% 0.22/0.42 thf(f2,negated_conjecture,(
% 0.22/0.42 ~! [X1,X0 : $i > $i > $o,X2] : (! [X3 : $i > $i > $o] : ((! [X4,X5] : ((X0 @ X4 @ X5) => (X3 @ X4 @ X5)) & ! [X8,X6,X7] : (((X0 @ X7 @ X8) & (X3 @ X6 @ X7)) => (X3 @ X6 @ X8))) => (X3 @ X1 @ X2)) => ! [X3 : $i > $i > $o] : ((! [X5,X4] : ((X0 @ X4 @ X5) => (X3 @ X4 @ X5)) & ! [X5,X9,X4] : (((X3 @ X4 @ X5) & (X3 @ X5 @ X9)) => (X3 @ X4 @ X9))) => (X3 @ X1 @ X2)))),
% 0.22/0.42 inference(negated_conjecture,[],[f1])).
% 0.22/0.42 thf(f1,conjecture,(
% 0.22/0.42 ! [X1,X0 : $i > $i > $o,X2] : (! [X3 : $i > $i > $o] : ((! [X4,X5] : ((X0 @ X4 @ X5) => (X3 @ X4 @ X5)) & ! [X8,X6,X7] : (((X0 @ X7 @ X8) & (X3 @ X6 @ X7)) => (X3 @ X6 @ X8))) => (X3 @ X1 @ X2)) => ! [X3 : $i > $i > $o] : ((! [X5,X4] : ((X0 @ X4 @ X5) => (X3 @ X4 @ X5)) & ! [X5,X9,X4] : (((X3 @ X4 @ X5) & (X3 @ X5 @ X9)) => (X3 @ X4 @ X9))) => (X3 @ X1 @ X2)))),
% 0.22/0.42 file('/export/starexec/sandbox/tmp/tmp.TLJUggkn0A/Vampire---4.8_24678',cT146A_pme)).
% 0.22/0.42 thf(f19,plain,(
% 0.22/0.42 ( ! [X3 : $i > $i > $o] : (($true != (X3 @ (sK4 @ X3) @ (sK3 @ X3))) | ((X3 @ (sK5 @ X3) @ (sK7 @ X3)) != $true) | ((X3 @ sK1 @ sK0) = $true)) )),
% 0.22/0.42 inference(cnf_transformation,[],[f13])).
% 0.22/0.42 thf(f159,plain,(
% 0.22/0.42 spl9_11 | spl9_7 | ~spl9_9),
% 0.22/0.42 inference(avatar_split_clause,[],[f153,f115,f105,f156])).
% 0.22/0.42 thf(f153,plain,(
% 0.22/0.42 ($true = (sK8 @ sK1 @ sK0)) | ($true = (sK2 @ (sK4 @ sK8) @ (sK3 @ sK8))) | ~spl9_9),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f152])).
% 0.22/0.42 thf(f152,plain,(
% 0.22/0.42 ($true = (sK2 @ (sK4 @ sK8) @ (sK3 @ sK8))) | ($true != $true) | ($true = (sK8 @ sK1 @ sK0)) | ~spl9_9),
% 0.22/0.42 inference(superposition,[],[f22,f116])).
% 0.22/0.42 thf(f116,plain,(
% 0.22/0.42 ((sK8 @ (sK5 @ sK8) @ (sK7 @ sK8)) = $true) | ~spl9_9),
% 0.22/0.42 inference(avatar_component_clause,[],[f115])).
% 0.22/0.42 thf(f22,plain,(
% 0.22/0.42 ( ! [X3 : $i > $i > $o] : (((X3 @ (sK5 @ X3) @ (sK7 @ X3)) != $true) | ((sK2 @ (sK4 @ X3) @ (sK3 @ X3)) = $true) | ((X3 @ sK1 @ sK0) = $true)) )),
% 0.22/0.42 inference(cnf_transformation,[],[f13])).
% 0.22/0.42 thf(f150,plain,(
% 0.22/0.42 spl9_9 | ~spl9_6 | ~spl9_10),
% 0.22/0.42 inference(avatar_split_clause,[],[f149,f133,f101,f115])).
% 0.22/0.42 thf(f101,plain,(
% 0.22/0.42 spl9_6 <=> ($true = (sK8 @ (sK5 @ sK8) @ (sK6 @ sK8)))),
% 0.22/0.42 introduced(avatar_definition,[new_symbols(naming,[spl9_6])])).
% 0.22/0.42 thf(f133,plain,(
% 0.22/0.42 spl9_10 <=> ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true)),
% 0.22/0.42 introduced(avatar_definition,[new_symbols(naming,[spl9_10])])).
% 0.22/0.42 thf(f149,plain,(
% 0.22/0.42 ((sK8 @ (sK5 @ sK8) @ (sK7 @ sK8)) = $true) | (~spl9_6 | ~spl9_10)),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f146])).
% 0.22/0.42 thf(f146,plain,(
% 0.22/0.42 ((sK8 @ (sK5 @ sK8) @ (sK7 @ sK8)) = $true) | ($true != $true) | (~spl9_6 | ~spl9_10)),
% 0.22/0.42 inference(superposition,[],[f120,f135])).
% 0.22/0.42 thf(f135,plain,(
% 0.22/0.42 ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ~spl9_10),
% 0.22/0.42 inference(avatar_component_clause,[],[f133])).
% 0.22/0.42 thf(f120,plain,(
% 0.22/0.42 ( ! [X0 : $i] : (((sK8 @ (sK6 @ sK8) @ X0) != $true) | ($true = (sK8 @ (sK5 @ sK8) @ X0))) ) | ~spl9_6),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f119])).
% 0.22/0.42 thf(f119,plain,(
% 0.22/0.42 ( ! [X0 : $i] : (($true != $true) | ($true = (sK8 @ (sK5 @ sK8) @ X0)) | ((sK8 @ (sK6 @ sK8) @ X0) != $true)) ) | ~spl9_6),
% 0.22/0.42 inference(superposition,[],[f16,f103])).
% 0.22/0.42 thf(f103,plain,(
% 0.22/0.42 ($true = (sK8 @ (sK5 @ sK8) @ (sK6 @ sK8))) | ~spl9_6),
% 0.22/0.42 inference(avatar_component_clause,[],[f101])).
% 0.22/0.42 thf(f16,plain,(
% 0.22/0.42 ( ! [X10 : $i,X11 : $i,X12 : $i] : (($true != (sK8 @ X11 @ X10)) | ((sK8 @ X11 @ X12) = $true) | ($true != (sK8 @ X10 @ X12))) )),
% 0.22/0.42 inference(cnf_transformation,[],[f13])).
% 0.22/0.42 thf(f145,plain,(
% 0.22/0.42 spl9_10 | ~spl9_8),
% 0.22/0.42 inference(avatar_split_clause,[],[f144,f110,f133])).
% 0.22/0.42 thf(f110,plain,(
% 0.22/0.42 spl9_8 <=> ((sK2 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true)),
% 0.22/0.42 introduced(avatar_definition,[new_symbols(naming,[spl9_8])])).
% 0.22/0.42 thf(f144,plain,(
% 0.22/0.42 ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ~spl9_8),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f143])).
% 0.22/0.42 thf(f143,plain,(
% 0.22/0.42 ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ($true != $true) | ~spl9_8),
% 0.22/0.42 inference(superposition,[],[f14,f112])).
% 0.22/0.42 thf(f112,plain,(
% 0.22/0.42 ((sK2 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ~spl9_8),
% 0.22/0.42 inference(avatar_component_clause,[],[f110])).
% 0.22/0.42 thf(f142,plain,(
% 0.22/0.42 ~spl9_7),
% 0.22/0.42 inference(avatar_contradiction_clause,[],[f141])).
% 0.22/0.42 thf(f141,plain,(
% 0.22/0.42 $false | ~spl9_7),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f138])).
% 0.22/0.42 thf(f138,plain,(
% 0.22/0.42 ($true != $true) | ~spl9_7),
% 0.22/0.42 inference(superposition,[],[f15,f107])).
% 0.22/0.42 thf(f107,plain,(
% 0.22/0.42 ($true = (sK8 @ sK1 @ sK0)) | ~spl9_7),
% 0.22/0.42 inference(avatar_component_clause,[],[f105])).
% 0.22/0.42 thf(f15,plain,(
% 0.22/0.42 ($true != (sK8 @ sK1 @ sK0))),
% 0.22/0.42 inference(cnf_transformation,[],[f13])).
% 0.22/0.42 thf(f137,plain,(
% 0.22/0.42 spl9_8 | spl9_10 | spl9_7),
% 0.22/0.42 inference(avatar_split_clause,[],[f126,f105,f133,f110])).
% 0.22/0.42 thf(f126,plain,(
% 0.22/0.42 ((sK2 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ($true = (sK8 @ sK1 @ sK0))),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f125])).
% 0.22/0.42 thf(f125,plain,(
% 0.22/0.42 ((sK2 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ($true != $true) | ($true = (sK8 @ sK1 @ sK0)) | ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true)),
% 0.22/0.42 inference(duplicate_literal_removal,[],[f124])).
% 0.22/0.42 thf(f124,plain,(
% 0.22/0.42 ((sK2 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ($true = (sK8 @ sK1 @ sK0)) | ($true = (sK8 @ sK1 @ sK0)) | ($true != $true) | ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true)),
% 0.22/0.42 inference(superposition,[],[f17,f72])).
% 0.22/0.42 thf(f72,plain,(
% 0.22/0.42 ( ! [X0 : $i > $i > $o] : (($true = (sK8 @ (sK4 @ X0) @ (sK3 @ X0))) | ($true = (X0 @ sK1 @ sK0)) | ((sK8 @ (sK6 @ X0) @ (sK7 @ X0)) = $true)) )),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f66])).
% 0.22/0.42 thf(f66,plain,(
% 0.22/0.42 ( ! [X0 : $i > $i > $o] : (($true = (sK8 @ (sK4 @ X0) @ (sK3 @ X0))) | ($true != $true) | ((sK8 @ (sK6 @ X0) @ (sK7 @ X0)) = $true) | ($true = (X0 @ sK1 @ sK0))) )),
% 0.22/0.42 inference(superposition,[],[f14,f24])).
% 0.22/0.42 thf(f24,plain,(
% 0.22/0.42 ( ! [X0 : $i > $i > $o] : (($true = (sK2 @ (sK4 @ X0) @ (sK3 @ X0))) | ((sK8 @ (sK6 @ X0) @ (sK7 @ X0)) = $true) | ($true = (X0 @ sK1 @ sK0))) )),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f23])).
% 0.22/0.42 thf(f23,plain,(
% 0.22/0.42 ( ! [X0 : $i > $i > $o] : (((sK8 @ (sK6 @ X0) @ (sK7 @ X0)) = $true) | ($true = (X0 @ sK1 @ sK0)) | ($true = (sK2 @ (sK4 @ X0) @ (sK3 @ X0))) | ($true != $true)) )),
% 0.22/0.42 inference(superposition,[],[f14,f20])).
% 0.22/0.42 thf(f20,plain,(
% 0.22/0.42 ( ! [X3 : $i > $i > $o] : (($true = (sK2 @ (sK6 @ X3) @ (sK7 @ X3))) | ((sK2 @ (sK4 @ X3) @ (sK3 @ X3)) = $true) | ((X3 @ sK1 @ sK0) = $true)) )),
% 0.22/0.42 inference(cnf_transformation,[],[f13])).
% 0.22/0.42 thf(f17,plain,(
% 0.22/0.42 ( ! [X3 : $i > $i > $o] : (($true != (X3 @ (sK4 @ X3) @ (sK3 @ X3))) | ($true = (sK2 @ (sK6 @ X3) @ (sK7 @ X3))) | ((X3 @ sK1 @ sK0) = $true)) )),
% 0.22/0.42 inference(cnf_transformation,[],[f13])).
% 0.22/0.42 thf(f108,plain,(
% 0.22/0.42 spl9_6 | spl9_7),
% 0.22/0.42 inference(avatar_split_clause,[],[f99,f105,f101])).
% 0.22/0.42 thf(f99,plain,(
% 0.22/0.42 ($true = (sK8 @ sK1 @ sK0)) | ($true = (sK8 @ (sK5 @ sK8) @ (sK6 @ sK8)))),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f98])).
% 0.22/0.42 thf(f98,plain,(
% 0.22/0.42 ($true != $true) | ($true = (sK8 @ sK1 @ sK0)) | ($true = (sK8 @ (sK5 @ sK8) @ (sK6 @ sK8)))),
% 0.22/0.42 inference(duplicate_literal_removal,[],[f91])).
% 0.22/0.42 thf(f91,plain,(
% 0.22/0.42 ($true = (sK8 @ (sK5 @ sK8) @ (sK6 @ sK8))) | ($true = (sK8 @ sK1 @ sK0)) | ($true = (sK8 @ sK1 @ sK0)) | ($true != $true) | ($true = (sK8 @ (sK5 @ sK8) @ (sK6 @ sK8)))),
% 0.22/0.42 inference(superposition,[],[f18,f35])).
% 0.22/0.42 thf(f35,plain,(
% 0.22/0.42 ( ! [X0 : $i > $i > $o] : (($true = (sK8 @ (sK4 @ X0) @ (sK3 @ X0))) | ($true = (X0 @ sK1 @ sK0)) | ($true = (X0 @ (sK5 @ X0) @ (sK6 @ X0)))) )),
% 0.22/0.42 inference(trivial_inequality_removal,[],[f25])).
% 0.22/0.42 thf(f25,plain,(
% 0.22/0.42 ( ! [X0 : $i > $i > $o] : (($true = (sK8 @ (sK4 @ X0) @ (sK3 @ X0))) | ($true != $true) | ($true = (X0 @ sK1 @ sK0)) | ($true = (X0 @ (sK5 @ X0) @ (sK6 @ X0)))) )),
% 0.22/0.42 inference(superposition,[],[f14,f21])).
% 0.22/0.42 thf(f21,plain,(
% 0.22/0.42 ( ! [X3 : $i > $i > $o] : (((sK2 @ (sK4 @ X3) @ (sK3 @ X3)) = $true) | ((X3 @ sK1 @ sK0) = $true) | ((X3 @ (sK5 @ X3) @ (sK6 @ X3)) = $true)) )),
% 0.22/0.42 inference(cnf_transformation,[],[f13])).
% 0.22/0.42 thf(f18,plain,(
% 0.22/0.42 ( ! [X3 : $i > $i > $o] : (($true != (X3 @ (sK4 @ X3) @ (sK3 @ X3))) | ((X3 @ (sK5 @ X3) @ (sK6 @ X3)) = $true) | ((X3 @ sK1 @ sK0) = $true)) )),
% 0.22/0.42 inference(cnf_transformation,[],[f13])).
% 0.22/0.42 % SZS output end Proof for Vampire---4
% 0.22/0.42 % (24788)------------------------------
% 0.22/0.42 % (24788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (24788)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (24788)Memory used [KB]: 5628
% 0.22/0.42 % (24788)Time elapsed: 0.020 s
% 0.22/0.42 % (24788)Instructions burned: 22 (million)
% 0.22/0.42 % (24788)------------------------------
% 0.22/0.42 % (24788)------------------------------
% 0.22/0.42 % (24785)Success in time 0.019 s
% 0.22/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------