TSTP Solution File: SEV086^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV086^5 : 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/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 : Tue May 21 04:11:56 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV086^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % 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
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 18:40:52 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.14/0.35 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/benchmark/theBenchmark.p
% 0.14/0.37 % (29559)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.14/0.37 % (29552)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.37 % (29554)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 (3000ds/27Mi)
% 0.14/0.37 % (29553)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 (3000ds/4Mi)
% 0.14/0.37 % (29556)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 (3000ds/2Mi)
% 0.14/0.37 % (29557)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 (3000ds/275Mi)
% 0.14/0.37 % (29555)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37 % (29558)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.37 % (29555)Instruction limit reached!
% 0.14/0.37 % (29555)------------------------------
% 0.14/0.37 % (29555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (29555)Termination reason: Unknown
% 0.14/0.37 % (29556)Instruction limit reached!
% 0.14/0.37 % (29556)------------------------------
% 0.14/0.37 % (29556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (29555)Termination phase: Clausification
% 0.14/0.37
% 0.14/0.37 % (29555)Memory used [KB]: 895
% 0.14/0.37 % (29555)Time elapsed: 0.003 s
% 0.14/0.37 % (29555)Instructions burned: 2 (million)
% 0.14/0.37 % (29555)------------------------------
% 0.14/0.37 % (29555)------------------------------
% 0.14/0.37 % (29556)Termination reason: Unknown
% 0.14/0.37 % (29556)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (29556)Memory used [KB]: 895
% 0.14/0.37 % (29556)Time elapsed: 0.003 s
% 0.14/0.37 % (29556)Instructions burned: 2 (million)
% 0.14/0.37 % (29556)------------------------------
% 0.14/0.37 % (29556)------------------------------
% 0.14/0.37 % (29559)Instruction limit reached!
% 0.14/0.37 % (29559)------------------------------
% 0.14/0.37 % (29559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (29559)Termination reason: Unknown
% 0.14/0.37 % (29559)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (29559)Memory used [KB]: 5500
% 0.14/0.37 % (29559)Time elapsed: 0.004 s
% 0.14/0.37 % (29559)Instructions burned: 4 (million)
% 0.14/0.37 % (29559)------------------------------
% 0.14/0.37 % (29559)------------------------------
% 0.14/0.37 % (29553)Instruction limit reached!
% 0.14/0.37 % (29553)------------------------------
% 0.14/0.37 % (29553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (29553)Termination reason: Unknown
% 0.14/0.37 % (29553)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (29553)Memory used [KB]: 5500
% 0.14/0.37 % (29553)Time elapsed: 0.005 s
% 0.14/0.37 % (29553)Instructions burned: 4 (million)
% 0.14/0.37 % (29553)------------------------------
% 0.14/0.37 % (29553)------------------------------
% 0.14/0.37 % (29554)Refutation not found, incomplete strategy
% 0.14/0.37 % (29554)------------------------------
% 0.14/0.37 % (29554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (29554)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (29554)Memory used [KB]: 5500
% 0.14/0.37 % (29554)Time elapsed: 0.005 s
% 0.14/0.37 % (29554)Instructions burned: 5 (million)
% 0.14/0.37 % (29554)------------------------------
% 0.14/0.37 % (29554)------------------------------
% 0.14/0.38 % (29558)Instruction limit reached!
% 0.14/0.38 % (29558)------------------------------
% 0.14/0.38 % (29558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (29558)Termination reason: Unknown
% 0.14/0.38 % (29558)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (29558)Memory used [KB]: 5628
% 0.14/0.38 % (29558)Time elapsed: 0.013 s
% 0.14/0.38 % (29558)Instructions burned: 18 (million)
% 0.14/0.38 % (29558)------------------------------
% 0.14/0.38 % (29558)------------------------------
% 0.14/0.38 % (29561)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)
% 0.14/0.38 % (29560)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)
% 0.14/0.39 % (29557)Refutation not found, incomplete strategy
% 0.14/0.39 % (29557)------------------------------
% 0.14/0.39 % (29557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29557)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % (29557)Memory used [KB]: 5628
% 0.14/0.39 % (29557)Time elapsed: 0.020 s
% 0.14/0.39 % (29557)Instructions burned: 30 (million)
% 0.14/0.39 % (29557)------------------------------
% 0.14/0.39 % (29557)------------------------------
% 0.14/0.39 % (29564)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.39 % (29563)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)
% 0.14/0.39 % (29561)First to succeed.
% 0.14/0.39 % (29564)Instruction limit reached!
% 0.14/0.39 % (29564)------------------------------
% 0.14/0.39 % (29564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29564)Termination reason: Unknown
% 0.14/0.39 % (29564)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (29564)Memory used [KB]: 1023
% 0.14/0.39 % (29564)Time elapsed: 0.006 s
% 0.14/0.39 % (29564)Instructions burned: 7 (million)
% 0.14/0.39 % (29564)------------------------------
% 0.14/0.39 % (29564)------------------------------
% 0.14/0.39 % (29561)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% 0.14/0.39 thf(func_def_3, type, sP0: (($i > $o) > ($i > $o) > $o) > $o).
% 0.14/0.39 thf(func_def_4, type, sP1: (($i > $o) > ($i > $o) > $o) > $o).
% 0.14/0.39 thf(func_def_5, type, sK2: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.14/0.39 thf(func_def_6, type, sK3: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.14/0.39 thf(func_def_7, type, sK4: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.14/0.39 thf(func_def_8, type, sK5: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.14/0.39 thf(func_def_9, type, sK6: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.14/0.39 thf(func_def_10, type, sK7: (($i > $o) > ($i > $o) > $o) > $i).
% 0.14/0.39 thf(func_def_11, type, sK8: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.14/0.39 thf(func_def_13, type, ph10: !>[X0: $tType]:(X0)).
% 0.14/0.39 thf(f214,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(avatar_sat_refutation,[],[f65,f75,f129,f150,f159,f168,f189,f194,f199,f204,f208,f209,f213])).
% 0.14/0.39 thf(f213,plain,(
% 0.14/0.39 ((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))),
% 0.14/0.39 introduced(theory_tautology_sat_conflict,[])).
% 0.14/0.39 thf(f209,plain,(
% 0.14/0.39 ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $false) | ($false = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))),
% 0.14/0.39 introduced(theory_tautology_sat_conflict,[])).
% 0.14/0.39 thf(f208,plain,(
% 0.14/0.39 ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) != $false) | ($false != (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) = $true)),
% 0.14/0.39 introduced(theory_tautology_sat_conflict,[])).
% 0.14/0.39 thf(f204,plain,(
% 0.14/0.39 ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) != $false) | ($false != (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) = $true)),
% 0.14/0.39 introduced(theory_tautology_sat_conflict,[])).
% 0.14/0.39 thf(f199,plain,(
% 0.14/0.39 spl9_21 | ~spl9_4),
% 0.14/0.39 inference(avatar_split_clause,[],[f178,f62,f196])).
% 0.14/0.39 thf(f196,plain,(
% 0.14/0.39 spl9_21 <=> ((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl9_21])])).
% 0.14/0.39 thf(f62,plain,(
% 0.14/0.39 spl9_4 <=> ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl9_4])])).
% 0.14/0.39 thf(f178,plain,(
% 0.14/0.39 ((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl9_4),
% 0.14/0.39 inference(equality_proxy_clausification,[],[f177])).
% 0.14/0.39 thf(f177,plain,(
% 0.14/0.39 (((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_4),
% 0.14/0.39 inference(beta_eta_normalization,[],[f176])).
% 0.14/0.39 thf(f176,plain,(
% 0.14/0.39 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_4),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f175])).
% 0.14/0.39 thf(f175,plain,(
% 0.14/0.39 ($true != $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_4),
% 0.14/0.39 inference(superposition,[],[f25,f64])).
% 0.14/0.39 thf(f64,plain,(
% 0.14/0.39 ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ~spl9_4),
% 0.14/0.39 inference(avatar_component_clause,[],[f62])).
% 0.14/0.39 thf(f25,plain,(
% 0.14/0.39 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (((X0 @ (sK4 @ X0) @ (sK2 @ X0)) = $true) | ($true != (sP1 @ X0))) )),
% 0.14/0.39 inference(cnf_transformation,[],[f14])).
% 0.14/0.39 thf(f14,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : ((((X0 @ (sK4 @ X0) @ (sK2 @ X0)) = $true) & ($true != (X0 @ (sK4 @ X0) @ (sK3 @ X0))) & ((X0 @ (sK2 @ X0) @ (sK3 @ X0)) = $true)) | ($true != (sP1 @ X0)))),
% 0.14/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f12,f13])).
% 0.14/0.39 thf(f13,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o,X3 : $i > $o] : (((X0 @ X3 @ X1) = $true) & ($true != (X0 @ X3 @ X2)) & ((X0 @ X1 @ X2) = $true)) => (((X0 @ (sK4 @ X0) @ (sK2 @ X0)) = $true) & ($true != (X0 @ (sK4 @ X0) @ (sK3 @ X0))) & ((X0 @ (sK2 @ X0) @ (sK3 @ X0)) = $true)))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f12,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o,X3 : $i > $o] : (((X0 @ X3 @ X1) = $true) & ($true != (X0 @ X3 @ X2)) & ((X0 @ X1 @ X2) = $true)) | ($true != (sP1 @ X0)))),
% 0.14/0.39 inference(rectify,[],[f11])).
% 0.14/0.39 thf(f11,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X3 : $i > $o,X2 : $i > $o,X1 : $i > $o] : (((X0 @ X1 @ X3) = $true) & ((X0 @ X1 @ X2) != $true) & ($true = (X0 @ X3 @ X2))) | ($true != (sP1 @ X0)))),
% 0.14/0.39 inference(nnf_transformation,[],[f9])).
% 0.14/0.39 thf(f9,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X3 : $i > $o,X2 : $i > $o,X1 : $i > $o] : (((X0 @ X1 @ X3) = $true) & ((X0 @ X1 @ X2) != $true) & ($true = (X0 @ X3 @ X2))) | ~($true = (sP1 @ X0)))),
% 0.14/0.39 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.14/0.39 thf(f194,plain,(
% 0.14/0.39 ~spl9_20 | ~spl9_4),
% 0.14/0.39 inference(avatar_split_clause,[],[f181,f62,f191])).
% 0.14/0.39 thf(f191,plain,(
% 0.14/0.39 spl9_20 <=> ((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl9_20])])).
% 0.14/0.39 thf(f181,plain,(
% 0.14/0.39 ((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl9_4),
% 0.14/0.39 inference(equality_proxy_clausification,[],[f180])).
% 0.14/0.39 thf(f180,plain,(
% 0.14/0.39 (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ~spl9_4),
% 0.14/0.39 inference(beta_eta_normalization,[],[f179])).
% 0.14/0.39 thf(f179,plain,(
% 0.14/0.39 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ~spl9_4),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f173])).
% 0.14/0.39 thf(f173,plain,(
% 0.14/0.39 ($true != $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ~spl9_4),
% 0.14/0.39 inference(superposition,[],[f24,f64])).
% 0.14/0.39 thf(f24,plain,(
% 0.14/0.39 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true != (sP1 @ X0)) | ($true != (X0 @ (sK4 @ X0) @ (sK3 @ X0)))) )),
% 0.14/0.39 inference(cnf_transformation,[],[f14])).
% 0.14/0.39 thf(f189,plain,(
% 0.14/0.39 spl9_19 | ~spl9_4),
% 0.14/0.39 inference(avatar_split_clause,[],[f184,f62,f186])).
% 0.14/0.39 thf(f186,plain,(
% 0.14/0.39 spl9_19 <=> ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl9_19])])).
% 0.14/0.39 thf(f184,plain,(
% 0.14/0.39 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl9_4),
% 0.14/0.39 inference(equality_proxy_clausification,[],[f183])).
% 0.14/0.39 thf(f183,plain,(
% 0.14/0.39 (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_4),
% 0.14/0.39 inference(beta_eta_normalization,[],[f182])).
% 0.14/0.39 thf(f182,plain,(
% 0.14/0.39 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_4),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f174])).
% 0.14/0.39 thf(f174,plain,(
% 0.14/0.39 ($true != $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_4),
% 0.14/0.39 inference(superposition,[],[f23,f64])).
% 0.14/0.39 thf(f23,plain,(
% 0.14/0.39 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true != (sP1 @ X0)) | ((X0 @ (sK2 @ X0) @ (sK3 @ X0)) = $true)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f14])).
% 0.14/0.39 thf(f168,plain,(
% 0.14/0.39 spl9_17 | spl9_18 | ~spl9_3),
% 0.14/0.39 inference(avatar_split_clause,[],[f138,f58,f165,f161])).
% 0.14/0.39 thf(f161,plain,(
% 0.14/0.39 spl9_17 <=> ($false = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl9_17])])).
% 0.14/0.39 thf(f165,plain,(
% 0.14/0.39 spl9_18 <=> ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl9_18])])).
% 0.14/0.39 thf(f58,plain,(
% 0.14/0.39 spl9_3 <=> ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl9_3])])).
% 0.14/0.39 thf(f138,plain,(
% 0.14/0.39 ($false = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ~spl9_3),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f136])).
% 0.14/0.39 thf(f136,plain,(
% 0.14/0.39 ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ~spl9_3),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f133])).
% 0.14/0.39 thf(f133,plain,(
% 0.14/0.39 ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true != $true) | ~spl9_3),
% 0.14/0.39 inference(superposition,[],[f27,f60])).
% 0.14/0.39 thf(f60,plain,(
% 0.14/0.39 ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ~spl9_3),
% 0.14/0.39 inference(avatar_component_clause,[],[f58])).
% 0.14/0.39 thf(f27,plain,(
% 0.14/0.39 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (((sP0 @ X0) != $true) | ((sK5 @ X0 @ (sK7 @ X0)) != (sK6 @ X0 @ (sK7 @ X0)))) )),
% 0.14/0.39 inference(cnf_transformation,[],[f19])).
% 0.14/0.39 thf(f19,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : ((($true = (X0 @ (sK6 @ X0) @ (sK5 @ X0))) & ((sK5 @ X0 @ (sK7 @ X0)) != (sK6 @ X0 @ (sK7 @ X0))) & ((X0 @ (sK5 @ X0) @ (sK6 @ X0)) = $true)) | ((sP0 @ X0) != $true))),
% 0.14/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f16,f18,f17])).
% 0.14/0.39 thf(f17,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o] : (((X0 @ X2 @ X1) = $true) & ? [X3] : ((X1 @ X3) != (X2 @ X3)) & ((X0 @ X1 @ X2) = $true)) => (($true = (X0 @ (sK6 @ X0) @ (sK5 @ X0))) & ? [X3] : ((sK6 @ X0 @ X3) != (sK5 @ X0 @ X3)) & ((X0 @ (sK5 @ X0) @ (sK6 @ X0)) = $true)))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f18,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X3] : ((sK6 @ X0 @ X3) != (sK5 @ X0 @ X3)) => ((sK5 @ X0 @ (sK7 @ X0)) != (sK6 @ X0 @ (sK7 @ X0))))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f16,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o] : (((X0 @ X2 @ X1) = $true) & ? [X3] : ((X1 @ X3) != (X2 @ X3)) & ((X0 @ X1 @ X2) = $true)) | ((sP0 @ X0) != $true))),
% 0.14/0.39 inference(rectify,[],[f15])).
% 0.14/0.39 thf(f15,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X5 : $i > $o,X4 : $i > $o] : (((X0 @ X4 @ X5) = $true) & ? [X6] : ((X5 @ X6) != (X4 @ X6)) & ((X0 @ X5 @ X4) = $true)) | ((sP0 @ X0) != $true))),
% 0.14/0.39 inference(nnf_transformation,[],[f8])).
% 0.14/0.39 thf(f8,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X5 : $i > $o,X4 : $i > $o] : (((X0 @ X4 @ X5) = $true) & ? [X6] : ((X5 @ X6) != (X4 @ X6)) & ((X0 @ X5 @ X4) = $true)) | ~((sP0 @ X0) = $true))),
% 0.14/0.39 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.14/0.39 thf(f159,plain,(
% 0.14/0.39 spl9_15 | spl9_16 | ~spl9_3),
% 0.14/0.39 inference(avatar_split_clause,[],[f137,f58,f156,f152])).
% 0.14/0.39 thf(f152,plain,(
% 0.14/0.39 spl9_15 <=> ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl9_15])])).
% 0.14/0.39 thf(f156,plain,(
% 0.14/0.39 spl9_16 <=> ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl9_16])])).
% 0.14/0.39 thf(f137,plain,(
% 0.14/0.39 ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK7 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_3),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f136])).
% 0.14/0.39 thf(f150,plain,(
% 0.14/0.39 spl9_14 | ~spl9_3),
% 0.14/0.39 inference(avatar_split_clause,[],[f141,f58,f146])).
% 0.14/0.39 thf(f146,plain,(
% 0.14/0.39 spl9_14 <=> ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl9_14])])).
% 0.14/0.39 thf(f141,plain,(
% 0.14/0.39 ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl9_3),
% 0.14/0.39 inference(equality_proxy_clausification,[],[f140])).
% 0.14/0.39 thf(f140,plain,(
% 0.14/0.39 ($true = ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ~spl9_3),
% 0.14/0.39 inference(beta_eta_normalization,[],[f139])).
% 0.14/0.39 thf(f139,plain,(
% 0.14/0.39 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl9_3),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f134])).
% 0.14/0.39 thf(f134,plain,(
% 0.14/0.39 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($true != $true) | ~spl9_3),
% 0.14/0.39 inference(superposition,[],[f28,f60])).
% 0.14/0.39 thf(f28,plain,(
% 0.14/0.39 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (((sP0 @ X0) != $true) | ($true = (X0 @ (sK6 @ X0) @ (sK5 @ X0)))) )),
% 0.14/0.39 inference(cnf_transformation,[],[f19])).
% 0.14/0.39 thf(f129,plain,(
% 0.14/0.39 spl9_13 | spl9_2),
% 0.14/0.39 inference(avatar_split_clause,[],[f124,f53,f126])).
% 0.14/0.39 thf(f126,plain,(
% 0.14/0.39 spl9_13 <=> ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) = $false)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl9_13])])).
% 0.14/0.39 thf(f53,plain,(
% 0.14/0.39 spl9_2 <=> ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) = $true)),
% 0.14/0.39 introduced(avatar_definition,[new_symbols(naming,[spl9_2])])).
% 0.14/0.39 thf(f124,plain,(
% 0.14/0.39 ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) = $false) | spl9_2),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f123])).
% 0.14/0.39 thf(f123,plain,(
% 0.14/0.39 ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) = $false) | ($true != $true) | spl9_2),
% 0.14/0.39 inference(fool_paramodulation,[],[f54])).
% 0.14/0.39 thf(f54,plain,(
% 0.14/0.39 ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) != $true) | spl9_2),
% 0.14/0.39 inference(avatar_component_clause,[],[f53])).
% 0.14/0.39 thf(f75,plain,(
% 0.14/0.39 ~spl9_2),
% 0.14/0.39 inference(avatar_contradiction_clause,[],[f74])).
% 0.14/0.39 thf(f74,plain,(
% 0.14/0.39 $false | ~spl9_2),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f73])).
% 0.14/0.39 thf(f73,plain,(
% 0.14/0.39 ($true != $true) | ~spl9_2),
% 0.14/0.39 inference(beta_eta_normalization,[],[f72])).
% 0.14/0.39 thf(f72,plain,(
% 0.14/0.39 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))))) != $true) | ~spl9_2),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f67])).
% 0.14/0.39 thf(f67,plain,(
% 0.14/0.39 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true)))))) != $true) | ($true != $true) | ~spl9_2),
% 0.14/0.39 inference(superposition,[],[f24,f55])).
% 0.14/0.39 thf(f55,plain,(
% 0.14/0.39 ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ($true))))) = $true) | ~spl9_2),
% 0.14/0.39 inference(avatar_component_clause,[],[f53])).
% 0.14/0.39 thf(f65,plain,(
% 0.14/0.39 spl9_3 | spl9_4),
% 0.14/0.39 inference(avatar_split_clause,[],[f41,f62,f58])).
% 0.14/0.39 thf(f41,plain,(
% 0.14/0.39 ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f40])).
% 0.14/0.39 thf(f40,plain,(
% 0.14/0.39 ($true != $true) | ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true)),
% 0.14/0.39 inference(boolean_simplification,[],[f39])).
% 0.14/0.39 thf(f39,plain,(
% 0.14/0.39 ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | (((sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true)),
% 0.14/0.39 inference(beta_eta_normalization,[],[f31])).
% 0.14/0.39 thf(f31,plain,(
% 0.14/0.39 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK8 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ((sP1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true) | ((sP0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = $true)),
% 0.14/0.39 inference(primitive_instantiation,[],[f29])).
% 0.14/0.39 thf(f29,plain,(
% 0.14/0.39 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true != (X0 @ (sK8 @ X0) @ (sK8 @ X0))) | ((sP0 @ X0) = $true) | ($true = (sP1 @ X0))) )),
% 0.14/0.39 inference(cnf_transformation,[],[f22])).
% 0.14/0.39 thf(f22,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true = (sP1 @ X0)) | ($true != (X0 @ (sK8 @ X0) @ (sK8 @ X0))) | ((sP0 @ X0) = $true))),
% 0.14/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f20,f21])).
% 0.14/0.39 thf(f21,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o] : ((X0 @ X1 @ X1) != $true) => ($true != (X0 @ (sK8 @ X0) @ (sK8 @ X0))))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f20,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true = (sP1 @ X0)) | ? [X1 : $i > $o] : ((X0 @ X1 @ X1) != $true) | ((sP0 @ X0) = $true))),
% 0.14/0.39 inference(rectify,[],[f10])).
% 0.14/0.39 thf(f10,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true = (sP1 @ X0)) | ? [X7 : $i > $o] : ((X0 @ X7 @ X7) != $true) | ((sP0 @ X0) = $true))),
% 0.14/0.39 inference(definition_folding,[],[f7,f9,f8])).
% 0.14/0.39 thf(f7,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X3 : $i > $o,X2 : $i > $o,X1 : $i > $o] : (((X0 @ X1 @ X3) = $true) & ((X0 @ X1 @ X2) != $true) & ($true = (X0 @ X3 @ X2))) | ? [X7 : $i > $o] : ((X0 @ X7 @ X7) != $true) | ? [X5 : $i > $o,X4 : $i > $o] : (((X0 @ X4 @ X5) = $true) & ? [X6] : ((X5 @ X6) != (X4 @ X6)) & ((X0 @ X5 @ X4) = $true)))),
% 0.14/0.39 inference(flattening,[],[f6])).
% 0.14/0.39 thf(f6,plain,(
% 0.14/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X3 : $i > $o,X1 : $i > $o,X2 : $i > $o] : (((X0 @ X1 @ X2) != $true) & (((X0 @ X1 @ X3) = $true) & ($true = (X0 @ X3 @ X2)))) | ? [X4 : $i > $o,X5 : $i > $o] : (? [X6] : ((X5 @ X6) != (X4 @ X6)) & (((X0 @ X5 @ X4) = $true) & ((X0 @ X4 @ X5) = $true))) | ? [X7 : $i > $o] : ((X0 @ X7 @ X7) != $true))),
% 0.14/0.39 inference(ennf_transformation,[],[f5])).
% 0.14/0.39 thf(f5,plain,(
% 0.14/0.39 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X3 : $i > $o,X1 : $i > $o,X2 : $i > $o] : ((((X0 @ X1 @ X3) = $true) & ($true = (X0 @ X3 @ X2))) => ((X0 @ X1 @ X2) = $true)) & ! [X4 : $i > $o,X5 : $i > $o] : ((((X0 @ X5 @ X4) = $true) & ((X0 @ X4 @ X5) = $true)) => ! [X6] : ((X5 @ X6) = (X4 @ X6))) & ! [X7 : $i > $o] : ((X0 @ X7 @ X7) = $true))),
% 0.14/0.39 inference(fool_elimination,[],[f4])).
% 0.14/0.39 thf(f4,plain,(
% 0.14/0.39 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o,X2 : $i > $o,X3 : $i > $o] : (((X0 @ X3 @ X2) & (X0 @ X1 @ X3)) => (X0 @ X1 @ X2)) & ! [X4 : $i > $o,X5 : $i > $o] : (((X0 @ X5 @ X4) & (X0 @ X4 @ X5)) => ! [X6] : ((X5 @ X6) <=> (X4 @ X6))) & ! [X7 : $i > $o] : (X0 @ X7 @ X7))),
% 0.14/0.39 inference(rectify,[],[f2])).
% 0.14/0.39 thf(f2,negated_conjecture,(
% 0.14/0.39 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o,X3 : $i > $o,X2 : $i > $o] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3)) & ! [X4 : $i > $o,X5 : $i > $o] : (((X0 @ X5 @ X4) & (X0 @ X4 @ X5)) => ! [X1] : ((X5 @ X1) <=> (X4 @ X1))) & ! [X1 : $i > $o] : (X0 @ X1 @ X1))),
% 0.14/0.39 inference(negated_conjecture,[],[f1])).
% 0.14/0.39 thf(f1,conjecture,(
% 0.14/0.39 ? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o,X3 : $i > $o,X2 : $i > $o] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3)) & ! [X4 : $i > $o,X5 : $i > $o] : (((X0 @ X5 @ X4) & (X0 @ X4 @ X5)) => ! [X1] : ((X5 @ X1) <=> (X4 @ X1))) & ! [X1 : $i > $o] : (X0 @ X1 @ X1))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM120I_pme)).
% 0.14/0.39 % SZS output end Proof for theBenchmark
% 0.14/0.39 % (29561)------------------------------
% 0.14/0.39 % (29561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (29561)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (29561)Memory used [KB]: 5628
% 0.14/0.39 % (29561)Time elapsed: 0.011 s
% 0.14/0.39 % (29561)Instructions burned: 9 (million)
% 0.14/0.39 % (29561)------------------------------
% 0.14/0.39 % (29561)------------------------------
% 0.14/0.39 % (29551)Success in time 0.024 s
% 0.14/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------