TSTP Solution File: SEV062^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV062^5 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 : Tue May 21 04:11:52 EDT 2024
% Result : Theorem 0.19s 0.38s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV062^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13 % 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
% 0.13/0.34 % Computer : n024.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 : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 19:18:52 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_NEQ_NAR problem
% 0.13/0.34 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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.36 % (6022)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.19/0.36 % (6028)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.36 % (6025)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.36 % (6024)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 theBenchmark for (2999ds/27Mi)
% 0.19/0.36 % (6026)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.36 % (6023)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 theBenchmark for (2999ds/4Mi)
% 0.19/0.36 % (6027)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.19/0.36 % (6029)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.37 % (6025)Instruction limit reached!
% 0.19/0.37 % (6025)------------------------------
% 0.19/0.37 % (6025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (6025)Termination reason: Unknown
% 0.19/0.37 % (6026)Instruction limit reached!
% 0.19/0.37 % (6026)------------------------------
% 0.19/0.37 % (6026)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (6026)Termination reason: Unknown
% 0.19/0.37 % (6026)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (6026)Memory used [KB]: 1023
% 0.19/0.37 % (6026)Time elapsed: 0.003 s
% 0.19/0.37 % (6026)Instructions burned: 3 (million)
% 0.19/0.37 % (6026)------------------------------
% 0.19/0.37 % (6026)------------------------------
% 0.19/0.37 % (6025)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (6025)Memory used [KB]: 5500
% 0.19/0.37 % (6025)Time elapsed: 0.003 s
% 0.19/0.37 % (6025)Instructions burned: 2 (million)
% 0.19/0.37 % (6025)------------------------------
% 0.19/0.37 % (6025)------------------------------
% 0.19/0.37 % (6029)Instruction limit reached!
% 0.19/0.37 % (6029)------------------------------
% 0.19/0.37 % (6029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (6029)Termination reason: Unknown
% 0.19/0.37 % (6029)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (6029)Memory used [KB]: 5500
% 0.19/0.37 % (6029)Time elapsed: 0.003 s
% 0.19/0.37 % (6029)Instructions burned: 3 (million)
% 0.19/0.37 % (6029)------------------------------
% 0.19/0.37 % (6029)------------------------------
% 0.19/0.37 % (6023)Instruction limit reached!
% 0.19/0.37 % (6023)------------------------------
% 0.19/0.37 % (6023)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (6023)Termination reason: Unknown
% 0.19/0.37 % (6023)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (6023)Memory used [KB]: 5500
% 0.19/0.37 % (6023)Time elapsed: 0.004 s
% 0.19/0.37 % (6023)Instructions burned: 4 (million)
% 0.19/0.37 % (6023)------------------------------
% 0.19/0.37 % (6023)------------------------------
% 0.19/0.37 % (6028)Instruction limit reached!
% 0.19/0.37 % (6028)------------------------------
% 0.19/0.37 % (6028)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.37 % (6028)Termination reason: Unknown
% 0.19/0.37 % (6028)Termination phase: Saturation
% 0.19/0.37
% 0.19/0.37 % (6028)Memory used [KB]: 5628
% 0.19/0.37 % (6028)Time elapsed: 0.012 s
% 0.19/0.37 % (6028)Instructions burned: 18 (million)
% 0.19/0.37 % (6028)------------------------------
% 0.19/0.37 % (6028)------------------------------
% 0.19/0.38 % (6024)First to succeed.
% 0.19/0.38 % (6030)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 theBenchmark for (2999ds/37Mi)
% 0.19/0.38 % (6032)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.38 % (6031)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 theBenchmark for (2999ds/15Mi)
% 0.19/0.38 % (6033)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 theBenchmark for (2999ds/1041Mi)
% 0.19/0.38 % (6032)Instruction limit reached!
% 0.19/0.38 % (6032)------------------------------
% 0.19/0.38 % (6032)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38 % (6032)Termination reason: Unknown
% 0.19/0.38 % (6032)Termination phase: Saturation
% 0.19/0.38
% 0.19/0.38 % (6032)Memory used [KB]: 5500
% 0.19/0.38 % (6027)Also succeeded, but the first one will report.
% 0.19/0.38 % (6032)Time elapsed: 0.004 s
% 0.19/0.38 % (6032)Instructions burned: 3 (million)
% 0.19/0.38 % (6032)------------------------------
% 0.19/0.38 % (6032)------------------------------
% 0.19/0.38 % (6024)Refutation found. Thanks to Tanya!
% 0.19/0.38 % SZS status Theorem for theBenchmark
% 0.19/0.38 % SZS output start Proof for theBenchmark
% 0.19/0.38 thf(func_def_1, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.19/0.38 thf(func_def_5, type, sK1: $i > $i > $o).
% 0.19/0.38 thf(func_def_7, type, sK3: ($i > $i > $o) > $i).
% 0.19/0.38 thf(func_def_8, type, sK4: ($i > $i > $o) > $i).
% 0.19/0.38 thf(func_def_9, type, sK5: ($i > $i > $o) > $i).
% 0.19/0.38 thf(func_def_10, type, sK6: ($i > $i > $o) > $i).
% 0.19/0.38 thf(func_def_11, type, sK7: ($i > $i > $o) > $i).
% 0.19/0.38 thf(func_def_12, type, sK8: $i > $i > $o).
% 0.19/0.38 thf(func_def_14, type, ph10: !>[X0: $tType]:(X0)).
% 0.19/0.38 thf(f181,plain,(
% 0.19/0.38 $false),
% 0.19/0.38 inference(avatar_sat_refutation,[],[f122,f135,f151,f160,f161,f166,f177,f180])).
% 0.19/0.38 thf(f180,plain,(
% 0.19/0.38 spl9_5 | ~spl9_11),
% 0.19/0.38 inference(avatar_split_clause,[],[f179,f174,f83])).
% 0.19/0.38 thf(f83,plain,(
% 0.19/0.38 spl9_5 <=> ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true)),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl9_5])])).
% 0.19/0.38 thf(f174,plain,(
% 0.19/0.38 spl9_11 <=> ($true = (sK1 @ (sK6 @ sK8) @ (sK7 @ sK8)))),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl9_11])])).
% 0.19/0.38 thf(f179,plain,(
% 0.19/0.38 ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ~spl9_11),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f178])).
% 0.19/0.38 thf(f178,plain,(
% 0.19/0.38 ($true != $true) | ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ~spl9_11),
% 0.19/0.38 inference(superposition,[],[f14,f176])).
% 0.19/0.38 thf(f176,plain,(
% 0.19/0.38 ($true = (sK1 @ (sK6 @ sK8) @ (sK7 @ sK8))) | ~spl9_11),
% 0.19/0.38 inference(avatar_component_clause,[],[f174])).
% 0.19/0.38 thf(f14,plain,(
% 0.19/0.38 ( ! [X14 : $i,X13 : $i] : (($true != (sK1 @ X14 @ X13)) | ($true = (sK8 @ X14 @ X13))) )),
% 0.19/0.38 inference(cnf_transformation,[],[f13])).
% 0.19/0.38 thf(f13,plain,(
% 0.19/0.38 ! [X3 : $i > $i > $o] : ((((sK1 @ (sK5 @ X3) @ (sK3 @ X3)) = $true) & ($true != (X3 @ (sK4 @ X3) @ (sK3 @ X3))) & ($true = (X3 @ (sK4 @ X3) @ (sK5 @ X3)))) | ((X3 @ sK0 @ sK2) = $true) | (($true != (X3 @ (sK6 @ X3) @ (sK7 @ X3))) & ($true = (sK1 @ (sK6 @ X3) @ (sK7 @ X3))))) & (((sK8 @ sK0 @ sK2) != $true) & ! [X10,X11,X12] : (((sK8 @ X12 @ X11) != $true) | ((sK8 @ X10 @ X11) = $true) | ((sK8 @ X10 @ X12) != $true)) & ! [X13,X14] : (($true = (sK8 @ X14 @ X13)) | ($true != (sK1 @ X14 @ X13))))),
% 0.19/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f8,f12,f11,f10,f9])).
% 0.19/0.38 thf(f9,plain,(
% 0.19/0.38 ? [X0,X1 : $i > $i > $o,X2] : (! [X3 : $i > $i > $o] : (? [X4,X5,X6] : (((X1 @ X6 @ X4) = $true) & ($true != (X3 @ X5 @ X4)) & ($true = (X3 @ X5 @ X6))) | ((X3 @ X0 @ X2) = $true) | ? [X7,X8] : (($true != (X3 @ X7 @ X8)) & ($true = (X1 @ X7 @ X8)))) & ? [X9 : $i > $i > $o] : (((X9 @ X0 @ X2) != $true) & ! [X10,X11,X12] : (((X9 @ X12 @ X11) != $true) | ($true = (X9 @ X10 @ X11)) | ((X9 @ X10 @ X12) != $true)) & ! [X13,X14] : (((X9 @ X14 @ X13) = $true) | ($true != (X1 @ X14 @ X13))))) => (! [X3 : $i > $i > $o] : (? [X6,X5,X4] : (((sK1 @ X6 @ X4) = $true) & ($true != (X3 @ X5 @ X4)) & ($true = (X3 @ X5 @ X6))) | ((X3 @ sK0 @ sK2) = $true) | ? [X8,X7] : (($true != (X3 @ X7 @ X8)) & ($true = (sK1 @ X7 @ X8)))) & ? [X9 : $i > $i > $o] : (((X9 @ sK0 @ sK2) != $true) & ! [X10,X11,X12] : (((X9 @ X12 @ X11) != $true) | ($true = (X9 @ X10 @ X11)) | ((X9 @ X10 @ X12) != $true)) & ! [X14,X13] : (((X9 @ X14 @ X13) = $true) | ($true != (sK1 @ X14 @ X13)))))),
% 0.19/0.38 introduced(choice_axiom,[])).
% 0.19/0.38 thf(f10,plain,(
% 0.19/0.38 ! [X3 : $i > $i > $o] : (? [X6,X5,X4] : (((sK1 @ X6 @ X4) = $true) & ($true != (X3 @ X5 @ X4)) & ($true = (X3 @ X5 @ X6))) => (((sK1 @ (sK5 @ X3) @ (sK3 @ X3)) = $true) & ($true != (X3 @ (sK4 @ X3) @ (sK3 @ X3))) & ($true = (X3 @ (sK4 @ X3) @ (sK5 @ X3)))))),
% 0.19/0.38 introduced(choice_axiom,[])).
% 0.19/0.38 thf(f11,plain,(
% 0.19/0.38 ! [X3 : $i > $i > $o] : (? [X8,X7] : (($true != (X3 @ X7 @ X8)) & ($true = (sK1 @ X7 @ X8))) => (($true != (X3 @ (sK6 @ X3) @ (sK7 @ X3))) & ($true = (sK1 @ (sK6 @ X3) @ (sK7 @ X3)))))),
% 0.19/0.38 introduced(choice_axiom,[])).
% 0.19/0.38 thf(f12,plain,(
% 0.19/0.38 ? [X9 : $i > $i > $o] : (((X9 @ sK0 @ sK2) != $true) & ! [X10,X11,X12] : (((X9 @ X12 @ X11) != $true) | ($true = (X9 @ X10 @ X11)) | ((X9 @ X10 @ X12) != $true)) & ! [X14,X13] : (((X9 @ X14 @ X13) = $true) | ($true != (sK1 @ X14 @ X13)))) => (((sK8 @ sK0 @ sK2) != $true) & ! [X12,X11,X10] : (((sK8 @ X12 @ X11) != $true) | ((sK8 @ X10 @ X11) = $true) | ((sK8 @ X10 @ X12) != $true)) & ! [X14,X13] : (($true = (sK8 @ X14 @ X13)) | ($true != (sK1 @ X14 @ X13))))),
% 0.19/0.38 introduced(choice_axiom,[])).
% 0.19/0.38 thf(f8,plain,(
% 0.19/0.38 ? [X0,X1 : $i > $i > $o,X2] : (! [X3 : $i > $i > $o] : (? [X4,X5,X6] : (((X1 @ X6 @ X4) = $true) & ($true != (X3 @ X5 @ X4)) & ($true = (X3 @ X5 @ X6))) | ((X3 @ X0 @ X2) = $true) | ? [X7,X8] : (($true != (X3 @ X7 @ X8)) & ($true = (X1 @ X7 @ X8)))) & ? [X9 : $i > $i > $o] : (((X9 @ X0 @ X2) != $true) & ! [X10,X11,X12] : (((X9 @ X12 @ X11) != $true) | ($true = (X9 @ X10 @ X11)) | ((X9 @ X10 @ X12) != $true)) & ! [X13,X14] : (((X9 @ X14 @ X13) = $true) | ($true != (X1 @ X14 @ X13)))))),
% 0.19/0.38 inference(rectify,[],[f7])).
% 0.19/0.38 thf(f7,plain,(
% 0.19/0.38 ? [X0,X2 : $i > $i > $o,X1] : (! [X3 : $i > $i > $o] : (? [X6,X4,X5] : (((X2 @ X5 @ X6) = $true) & ((X3 @ X4 @ X6) != $true) & ((X3 @ X4 @ X5) = $true)) | ($true = (X3 @ X0 @ X1)) | ? [X8,X7] : (($true != (X3 @ X8 @ X7)) & ($true = (X2 @ X8 @ X7)))) & ? [X9 : $i > $i > $o] : (((X9 @ X0 @ X1) != $true) & ! [X14,X13,X12] : (((X9 @ X12 @ X13) != $true) | ((X9 @ X14 @ X13) = $true) | ($true != (X9 @ X14 @ X12))) & ! [X11,X10] : (($true = (X9 @ X10 @ X11)) | ($true != (X2 @ X10 @ X11)))))),
% 0.19/0.38 inference(flattening,[],[f6])).
% 0.19/0.38 thf(f6,plain,(
% 0.19/0.38 ? [X1,X2 : $i > $i > $o,X0] : (? [X9 : $i > $i > $o] : (((X9 @ X0 @ X1) != $true) & (! [X11,X10] : (($true = (X9 @ X10 @ X11)) | ($true != (X2 @ X10 @ X11))) & ! [X14,X12,X13] : (((X9 @ X14 @ X13) = $true) | (($true != (X9 @ X14 @ X12)) | ((X9 @ X12 @ X13) != $true))))) & ! [X3 : $i > $i > $o] : (($true = (X3 @ X0 @ X1)) | (? [X8,X7] : (($true != (X3 @ X8 @ X7)) & ($true = (X2 @ X8 @ X7))) | ? [X5,X6,X4] : (((X3 @ X4 @ X6) != $true) & (((X2 @ X5 @ X6) = $true) & ((X3 @ X4 @ X5) = $true))))))),
% 0.19/0.38 inference(ennf_transformation,[],[f5])).
% 0.19/0.38 thf(f5,plain,(
% 0.19/0.38 ~! [X1,X2 : $i > $i > $o,X0] : (! [X3 : $i > $i > $o] : ((! [X8,X7] : (($true = (X2 @ X8 @ X7)) => ($true = (X3 @ X8 @ X7))) & ! [X5,X6,X4] : ((((X2 @ X5 @ X6) = $true) & ((X3 @ X4 @ X5) = $true)) => ((X3 @ X4 @ X6) = $true))) => ($true = (X3 @ X0 @ X1))) => ! [X9 : $i > $i > $o] : ((! [X10,X11] : (($true = (X2 @ X10 @ X11)) => ($true = (X9 @ X10 @ X11))) & ! [X14,X12,X13] : ((($true = (X9 @ X14 @ X12)) & ((X9 @ X12 @ X13) = $true)) => ((X9 @ X14 @ X13) = $true))) => ((X9 @ X0 @ X1) = $true)))),
% 0.19/0.38 inference(fool_elimination,[],[f4])).
% 0.19/0.38 thf(f4,plain,(
% 0.19/0.38 ~! [X0,X1,X2 : $i > $i > $o] : (! [X3 : $i > $i > $o] : ((! [X4,X5,X6] : (((X2 @ X5 @ X6) & (X3 @ X4 @ X5)) => (X3 @ X4 @ X6)) & ! [X7,X8] : ((X2 @ X8 @ X7) => (X3 @ X8 @ X7))) => (X3 @ X0 @ X1)) => ! [X9 : $i > $i > $o] : ((! [X10,X11] : ((X2 @ X10 @ X11) => (X9 @ X10 @ X11)) & ! [X12,X13,X14] : (((X9 @ X12 @ X13) & (X9 @ X14 @ X12)) => (X9 @ X14 @ X13))) => (X9 @ X0 @ X1)))),
% 0.19/0.38 inference(rectify,[],[f2])).
% 0.19/0.38 thf(f2,negated_conjecture,(
% 0.19/0.38 ~! [X1,X2,X0 : $i > $i > $o] : (! [X3 : $i > $i > $o] : ((! [X6,X7,X8] : (((X0 @ X7 @ X8) & (X3 @ X6 @ X7)) => (X3 @ X6 @ X8)) & ! [X5,X4] : ((X0 @ X4 @ X5) => (X3 @ X4 @ X5))) => (X3 @ X1 @ X2)) => ! [X3 : $i > $i > $o] : ((! [X4,X5] : ((X0 @ X4 @ X5) => (X3 @ X4 @ X5)) & ! [X5,X9,X4] : (((X3 @ X5 @ X9) & (X3 @ X4 @ X5)) => (X3 @ X4 @ X9))) => (X3 @ X1 @ X2)))),
% 0.19/0.38 inference(negated_conjecture,[],[f1])).
% 0.19/0.38 thf(f1,conjecture,(
% 0.19/0.38 ! [X1,X2,X0 : $i > $i > $o] : (! [X3 : $i > $i > $o] : ((! [X6,X7,X8] : (((X0 @ X7 @ X8) & (X3 @ X6 @ X7)) => (X3 @ X6 @ X8)) & ! [X5,X4] : ((X0 @ X4 @ X5) => (X3 @ X4 @ X5))) => (X3 @ X1 @ X2)) => ! [X3 : $i > $i > $o] : ((! [X4,X5] : ((X0 @ X4 @ X5) => (X3 @ X4 @ X5)) & ! [X5,X9,X4] : (((X3 @ X5 @ X9) & (X3 @ X4 @ X5)) => (X3 @ X4 @ X9))) => (X3 @ X1 @ X2)))),
% 0.19/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cT146A_pme)).
% 0.19/0.38 thf(f177,plain,(
% 0.19/0.38 spl9_7 | spl9_11 | ~spl9_8),
% 0.19/0.38 inference(avatar_split_clause,[],[f171,f105,f174,f90])).
% 0.19/0.38 thf(f90,plain,(
% 0.19/0.38 spl9_7 <=> ((sK8 @ sK0 @ sK2) = $true)),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl9_7])])).
% 0.19/0.38 thf(f105,plain,(
% 0.19/0.38 spl9_8 <=> ($true = (sK8 @ (sK4 @ sK8) @ (sK3 @ sK8)))),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl9_8])])).
% 0.19/0.38 thf(f171,plain,(
% 0.19/0.38 ((sK8 @ sK0 @ sK2) = $true) | ($true = (sK1 @ (sK6 @ sK8) @ (sK7 @ sK8))) | ~spl9_8),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f170])).
% 0.19/0.38 thf(f170,plain,(
% 0.19/0.38 ((sK8 @ sK0 @ sK2) = $true) | ($true = (sK1 @ (sK6 @ sK8) @ (sK7 @ sK8))) | ($true != $true) | ~spl9_8),
% 0.19/0.38 inference(superposition,[],[f19,f106])).
% 0.19/0.38 thf(f106,plain,(
% 0.19/0.38 ($true = (sK8 @ (sK4 @ sK8) @ (sK3 @ sK8))) | ~spl9_8),
% 0.19/0.38 inference(avatar_component_clause,[],[f105])).
% 0.19/0.38 thf(f19,plain,(
% 0.19/0.38 ( ! [X3 : $i > $i > $o] : (($true != (X3 @ (sK4 @ X3) @ (sK3 @ X3))) | ((X3 @ sK0 @ sK2) = $true) | ($true = (sK1 @ (sK6 @ X3) @ (sK7 @ X3)))) )),
% 0.19/0.38 inference(cnf_transformation,[],[f13])).
% 0.19/0.38 thf(f166,plain,(
% 0.19/0.38 spl9_8 | ~spl9_9 | ~spl9_10),
% 0.19/0.38 inference(avatar_split_clause,[],[f164,f115,f110,f105])).
% 0.19/0.38 thf(f110,plain,(
% 0.19/0.38 spl9_9 <=> ((sK8 @ (sK4 @ sK8) @ (sK5 @ sK8)) = $true)),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl9_9])])).
% 0.19/0.38 thf(f115,plain,(
% 0.19/0.38 spl9_10 <=> ($true = (sK1 @ (sK5 @ sK8) @ (sK3 @ sK8)))),
% 0.19/0.38 introduced(avatar_definition,[new_symbols(naming,[spl9_10])])).
% 0.19/0.38 thf(f164,plain,(
% 0.19/0.38 ($true = (sK8 @ (sK4 @ sK8) @ (sK3 @ sK8))) | (~spl9_9 | ~spl9_10)),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f162])).
% 0.19/0.38 thf(f162,plain,(
% 0.19/0.38 ($true = (sK8 @ (sK4 @ sK8) @ (sK3 @ sK8))) | ($true != $true) | (~spl9_9 | ~spl9_10)),
% 0.19/0.38 inference(superposition,[],[f144,f112])).
% 0.19/0.38 thf(f112,plain,(
% 0.19/0.38 ((sK8 @ (sK4 @ sK8) @ (sK5 @ sK8)) = $true) | ~spl9_9),
% 0.19/0.38 inference(avatar_component_clause,[],[f110])).
% 0.19/0.38 thf(f144,plain,(
% 0.19/0.38 ( ! [X0 : $i] : (($true != (sK8 @ X0 @ (sK5 @ sK8))) | ($true = (sK8 @ X0 @ (sK3 @ sK8)))) ) | ~spl9_10),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f143])).
% 0.19/0.38 thf(f143,plain,(
% 0.19/0.38 ( ! [X0 : $i] : (($true = (sK8 @ X0 @ (sK3 @ sK8))) | ($true != $true) | ($true != (sK8 @ X0 @ (sK5 @ sK8)))) ) | ~spl9_10),
% 0.19/0.38 inference(superposition,[],[f15,f142])).
% 0.19/0.38 thf(f142,plain,(
% 0.19/0.38 ((sK8 @ (sK5 @ sK8) @ (sK3 @ sK8)) = $true) | ~spl9_10),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f141])).
% 0.19/0.38 thf(f141,plain,(
% 0.19/0.38 ($true != $true) | ((sK8 @ (sK5 @ sK8) @ (sK3 @ sK8)) = $true) | ~spl9_10),
% 0.19/0.38 inference(superposition,[],[f14,f117])).
% 0.19/0.38 thf(f117,plain,(
% 0.19/0.38 ($true = (sK1 @ (sK5 @ sK8) @ (sK3 @ sK8))) | ~spl9_10),
% 0.19/0.38 inference(avatar_component_clause,[],[f115])).
% 0.19/0.38 thf(f15,plain,(
% 0.19/0.38 ( ! [X10 : $i,X11 : $i,X12 : $i] : (((sK8 @ X12 @ X11) != $true) | ((sK8 @ X10 @ X12) != $true) | ((sK8 @ X10 @ X11) = $true)) )),
% 0.19/0.38 inference(cnf_transformation,[],[f13])).
% 0.19/0.38 thf(f161,plain,(
% 0.19/0.38 spl9_7 | spl9_9 | ~spl9_5),
% 0.19/0.38 inference(avatar_split_clause,[],[f158,f83,f110,f90])).
% 0.19/0.38 thf(f158,plain,(
% 0.19/0.38 ((sK8 @ sK0 @ sK2) = $true) | ((sK8 @ (sK4 @ sK8) @ (sK5 @ sK8)) = $true) | ~spl9_5),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f155])).
% 0.19/0.38 thf(f155,plain,(
% 0.19/0.38 ((sK8 @ (sK4 @ sK8) @ (sK5 @ sK8)) = $true) | ((sK8 @ sK0 @ sK2) = $true) | ($true != $true) | ~spl9_5),
% 0.19/0.38 inference(superposition,[],[f18,f85])).
% 0.19/0.38 thf(f85,plain,(
% 0.19/0.38 ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ~spl9_5),
% 0.19/0.38 inference(avatar_component_clause,[],[f83])).
% 0.19/0.38 thf(f18,plain,(
% 0.19/0.38 ( ! [X3 : $i > $i > $o] : (($true != (X3 @ (sK6 @ X3) @ (sK7 @ X3))) | ((X3 @ sK0 @ sK2) = $true) | ($true = (X3 @ (sK4 @ X3) @ (sK5 @ X3)))) )),
% 0.19/0.38 inference(cnf_transformation,[],[f13])).
% 0.19/0.38 thf(f160,plain,(
% 0.19/0.38 spl9_7 | ~spl9_8 | ~spl9_5),
% 0.19/0.38 inference(avatar_split_clause,[],[f159,f83,f105,f90])).
% 0.19/0.38 thf(f159,plain,(
% 0.19/0.38 ((sK8 @ sK0 @ sK2) = $true) | ($true != (sK8 @ (sK4 @ sK8) @ (sK3 @ sK8))) | ~spl9_5),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f154])).
% 0.19/0.38 thf(f154,plain,(
% 0.19/0.38 ($true != (sK8 @ (sK4 @ sK8) @ (sK3 @ sK8))) | ((sK8 @ sK0 @ sK2) = $true) | ($true != $true) | ~spl9_5),
% 0.19/0.38 inference(superposition,[],[f20,f85])).
% 0.19/0.38 thf(f20,plain,(
% 0.19/0.38 ( ! [X3 : $i > $i > $o] : (($true != (X3 @ (sK6 @ X3) @ (sK7 @ X3))) | ($true != (X3 @ (sK4 @ X3) @ (sK3 @ X3))) | ((X3 @ sK0 @ sK2) = $true)) )),
% 0.19/0.38 inference(cnf_transformation,[],[f13])).
% 0.19/0.38 thf(f151,plain,(
% 0.19/0.38 spl9_8 | spl9_7 | spl9_5 | ~spl9_10),
% 0.19/0.38 inference(avatar_split_clause,[],[f150,f115,f83,f90,f105])).
% 0.19/0.38 thf(f150,plain,(
% 0.19/0.38 ($true = (sK8 @ (sK4 @ sK8) @ (sK3 @ sK8))) | ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ((sK8 @ sK0 @ sK2) = $true) | ~spl9_10),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f149])).
% 0.19/0.38 thf(f149,plain,(
% 0.19/0.38 ((sK8 @ sK0 @ sK2) = $true) | ($true = (sK8 @ (sK4 @ sK8) @ (sK3 @ sK8))) | ((sK8 @ (sK6 @ sK8) @ (sK7 @ sK8)) = $true) | ($true != $true) | ~spl9_10),
% 0.19/0.38 inference(superposition,[],[f144,f24])).
% 0.19/0.38 thf(f24,plain,(
% 0.19/0.38 ( ! [X0 : $i > $i > $o] : (($true = (X0 @ (sK4 @ X0) @ (sK5 @ X0))) | ($true = (X0 @ sK0 @ sK2)) | ((sK8 @ (sK6 @ X0) @ (sK7 @ X0)) = $true)) )),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f23])).
% 0.19/0.38 thf(f23,plain,(
% 0.19/0.38 ( ! [X0 : $i > $i > $o] : (($true = (X0 @ sK0 @ sK2)) | ($true = (X0 @ (sK4 @ X0) @ (sK5 @ X0))) | ((sK8 @ (sK6 @ X0) @ (sK7 @ X0)) = $true) | ($true != $true)) )),
% 0.19/0.38 inference(superposition,[],[f14,f17])).
% 0.19/0.38 thf(f17,plain,(
% 0.19/0.38 ( ! [X3 : $i > $i > $o] : (($true = (sK1 @ (sK6 @ X3) @ (sK7 @ X3))) | ((X3 @ sK0 @ sK2) = $true) | ($true = (X3 @ (sK4 @ X3) @ (sK5 @ X3)))) )),
% 0.19/0.38 inference(cnf_transformation,[],[f13])).
% 0.19/0.38 thf(f135,plain,(
% 0.19/0.38 spl9_10 | spl9_7),
% 0.19/0.38 inference(avatar_split_clause,[],[f134,f90,f115])).
% 0.19/0.38 thf(f134,plain,(
% 0.19/0.38 ($true = (sK1 @ (sK5 @ sK8) @ (sK3 @ sK8))) | ((sK8 @ sK0 @ sK2) = $true)),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f133])).
% 0.19/0.38 thf(f133,plain,(
% 0.19/0.38 ($true != $true) | ($true = (sK1 @ (sK5 @ sK8) @ (sK3 @ sK8))) | ((sK8 @ sK0 @ sK2) = $true)),
% 0.19/0.38 inference(duplicate_literal_removal,[],[f125])).
% 0.19/0.38 thf(f125,plain,(
% 0.19/0.38 ((sK8 @ sK0 @ sK2) = $true) | ($true = (sK1 @ (sK5 @ sK8) @ (sK3 @ sK8))) | ((sK8 @ sK0 @ sK2) = $true) | ($true = (sK1 @ (sK5 @ sK8) @ (sK3 @ sK8))) | ($true != $true)),
% 0.19/0.38 inference(superposition,[],[f22,f63])).
% 0.19/0.38 thf(f63,plain,(
% 0.19/0.38 ( ! [X0 : $i > $i > $o] : (((sK8 @ (sK6 @ X0) @ (sK7 @ X0)) = $true) | ($true = (X0 @ sK0 @ sK2)) | ((sK1 @ (sK5 @ X0) @ (sK3 @ X0)) = $true)) )),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f56])).
% 0.19/0.38 thf(f56,plain,(
% 0.19/0.38 ( ! [X0 : $i > $i > $o] : (($true = (X0 @ sK0 @ sK2)) | ((sK8 @ (sK6 @ X0) @ (sK7 @ X0)) = $true) | ($true != $true) | ((sK1 @ (sK5 @ X0) @ (sK3 @ X0)) = $true)) )),
% 0.19/0.38 inference(superposition,[],[f14,f21])).
% 0.19/0.38 thf(f21,plain,(
% 0.19/0.38 ( ! [X3 : $i > $i > $o] : (($true = (sK1 @ (sK6 @ X3) @ (sK7 @ X3))) | ((sK1 @ (sK5 @ X3) @ (sK3 @ X3)) = $true) | ((X3 @ sK0 @ sK2) = $true)) )),
% 0.19/0.38 inference(cnf_transformation,[],[f13])).
% 0.19/0.38 thf(f22,plain,(
% 0.19/0.38 ( ! [X3 : $i > $i > $o] : (($true != (X3 @ (sK6 @ X3) @ (sK7 @ X3))) | ((sK1 @ (sK5 @ X3) @ (sK3 @ X3)) = $true) | ((X3 @ sK0 @ sK2) = $true)) )),
% 0.19/0.38 inference(cnf_transformation,[],[f13])).
% 0.19/0.38 thf(f122,plain,(
% 0.19/0.38 ~spl9_7),
% 0.19/0.38 inference(avatar_contradiction_clause,[],[f121])).
% 0.19/0.38 thf(f121,plain,(
% 0.19/0.38 $false | ~spl9_7),
% 0.19/0.38 inference(trivial_inequality_removal,[],[f119])).
% 0.19/0.38 thf(f119,plain,(
% 0.19/0.38 ($true != $true) | ~spl9_7),
% 0.19/0.38 inference(superposition,[],[f16,f92])).
% 0.19/0.38 thf(f92,plain,(
% 0.19/0.38 ((sK8 @ sK0 @ sK2) = $true) | ~spl9_7),
% 0.19/0.38 inference(avatar_component_clause,[],[f90])).
% 0.19/0.38 thf(f16,plain,(
% 0.19/0.38 ((sK8 @ sK0 @ sK2) != $true)),
% 0.19/0.38 inference(cnf_transformation,[],[f13])).
% 0.19/0.38 % SZS output end Proof for theBenchmark
% 0.19/0.38 % (6024)------------------------------
% 0.19/0.38 % (6024)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38 % (6024)Termination reason: Refutation
% 0.19/0.38
% 0.19/0.38 % (6024)Memory used [KB]: 5628
% 0.19/0.38 % (6024)Time elapsed: 0.021 s
% 0.19/0.38 % (6024)Instructions burned: 24 (million)
% 0.19/0.38 % (6024)------------------------------
% 0.19/0.38 % (6024)------------------------------
% 0.19/0.38 % (6021)Success in time 0.023 s
% 0.19/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------