TSTP Solution File: MSC020^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MSC020^5 : 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 : n026.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 00:50:39 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MSC020^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % 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
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun May 19 22:57:23 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.13/0.36 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
% 0.13/0.38 % (22321)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)
% 0.13/0.38 % (22318)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)
% 0.13/0.38 % (22320)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (22322)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)
% 0.13/0.38 % (22323)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.38 % (22319)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)
% 0.13/0.38 % (22324)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)
% 0.13/0.38 % (22320)Instruction limit reached!
% 0.13/0.38 % (22320)------------------------------
% 0.13/0.38 % (22320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (22321)Instruction limit reached!
% 0.13/0.38 % (22321)------------------------------
% 0.13/0.38 % (22321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (22320)Termination reason: Unknown
% 0.13/0.38 % (22320)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (22320)Memory used [KB]: 5500
% 0.13/0.38 % (22320)Time elapsed: 0.003 s
% 0.13/0.38 % (22320)Instructions burned: 2 (million)
% 0.13/0.38 % (22320)------------------------------
% 0.13/0.38 % (22320)------------------------------
% 0.13/0.38 % (22321)Termination reason: Unknown
% 0.13/0.38 % (22321)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (22321)Memory used [KB]: 1023
% 0.13/0.38 % (22321)Time elapsed: 0.003 s
% 0.13/0.38 % (22321)Instructions burned: 2 (million)
% 0.13/0.38 % (22321)------------------------------
% 0.13/0.38 % (22321)------------------------------
% 0.13/0.38 % (22317)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.38 % (22324)Instruction limit reached!
% 0.13/0.38 % (22324)------------------------------
% 0.13/0.38 % (22324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (22324)Termination reason: Unknown
% 0.13/0.38 % (22324)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (22324)Memory used [KB]: 5500
% 0.13/0.38 % (22324)Time elapsed: 0.004 s
% 0.13/0.38 % (22324)Instructions burned: 4 (million)
% 0.13/0.38 % (22324)------------------------------
% 0.13/0.38 % (22324)------------------------------
% 0.13/0.38 % (22318)Instruction limit reached!
% 0.13/0.38 % (22318)------------------------------
% 0.13/0.38 % (22318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (22318)Termination reason: Unknown
% 0.13/0.38 % (22318)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (22318)Memory used [KB]: 5500
% 0.13/0.38 % (22318)Time elapsed: 0.005 s
% 0.13/0.38 % (22318)Instructions burned: 4 (million)
% 0.13/0.38 % (22318)------------------------------
% 0.13/0.38 % (22318)------------------------------
% 0.13/0.39 % (22323)Instruction limit reached!
% 0.13/0.39 % (22323)------------------------------
% 0.13/0.39 % (22323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (22323)Termination reason: Unknown
% 0.13/0.39 % (22323)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (22323)Memory used [KB]: 5628
% 0.13/0.39 % (22323)Time elapsed: 0.011 s
% 0.13/0.39 % (22323)Instructions burned: 18 (million)
% 0.13/0.39 % (22323)------------------------------
% 0.13/0.39 % (22323)------------------------------
% 0.13/0.40 % (22319)Instruction limit reached!
% 0.13/0.40 % (22319)------------------------------
% 0.13/0.40 % (22319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (22319)Termination reason: Unknown
% 0.13/0.40 % (22319)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (22319)Memory used [KB]: 5628
% 0.13/0.40 % (22319)Time elapsed: 0.017 s
% 0.13/0.40 % (22319)Instructions burned: 28 (million)
% 0.13/0.40 % (22319)------------------------------
% 0.13/0.40 % (22319)------------------------------
% 0.13/0.40 % (22325)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)
% 0.13/0.40 % (22326)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)
% 0.13/0.40 % (22328)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)
% 0.13/0.40 % (22327)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)
% 0.13/0.40 % (22322)Refutation not found, incomplete strategy
% 0.13/0.40 % (22322)------------------------------
% 0.13/0.40 % (22322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (22322)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 % (22322)Memory used [KB]: 5628
% 0.13/0.40 % (22322)Time elapsed: 0.019 s
% 0.13/0.40 % (22322)Instructions burned: 29 (million)
% 0.13/0.40 % (22322)------------------------------
% 0.13/0.40 % (22322)------------------------------
% 0.13/0.40 % (22327)Instruction limit reached!
% 0.13/0.40 % (22327)------------------------------
% 0.13/0.40 % (22327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (22327)Termination reason: Unknown
% 0.13/0.40 % (22327)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (22327)Memory used [KB]: 5500
% 0.13/0.40 % (22327)Time elapsed: 0.005 s
% 0.13/0.40 % (22327)Instructions burned: 4 (million)
% 0.13/0.40 % (22327)------------------------------
% 0.13/0.40 % (22327)------------------------------
% 0.13/0.40 % (22317)First to succeed.
% 0.13/0.40 % (22317)Refutation found. Thanks to Tanya!
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% 0.13/0.40 thf(func_def_0, type, cHALF: $i > $i > $o).
% 0.13/0.40 thf(func_def_1, type, cDOUBLE: $i > $i > $o).
% 0.13/0.40 thf(func_def_2, type, cS: $i > $i).
% 0.13/0.40 thf(func_def_9, type, sK2: ($i > $i > $o) > $i).
% 0.13/0.40 thf(func_def_10, type, sK3: ($i > $i > $o) > $i).
% 0.13/0.40 thf(func_def_13, type, ph5: !>[X0: $tType]:(X0)).
% 0.13/0.40 thf(f232,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(avatar_sat_refutation,[],[f128,f222,f231])).
% 0.13/0.40 thf(f231,plain,(
% 0.13/0.40 ~spl4_5),
% 0.13/0.40 inference(avatar_contradiction_clause,[],[f230])).
% 0.13/0.40 thf(f230,plain,(
% 0.13/0.40 $false | ~spl4_5),
% 0.13/0.40 inference(subsumption_resolution,[],[f228,f17])).
% 0.13/0.40 thf(f17,plain,(
% 0.13/0.40 ($true = (cDOUBLE @ sK0 @ sK1))),
% 0.13/0.40 inference(cnf_transformation,[],[f11])).
% 0.13/0.40 thf(f11,plain,(
% 0.13/0.40 (($true != (cHALF @ sK1 @ sK0)) & ($true = (cDOUBLE @ sK0 @ sK1))) & ((cHALF @ c0 @ c0) = $true) & ! [X2,X3] : (((cHALF @ (cS @ (cS @ X3)) @ (cS @ X2)) = $true) | ($true != (cHALF @ X3 @ X2))) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X4,X5 : $i > $i > $o,X6] : ((($true != (X5 @ (cS @ (sK2 @ X5)) @ (cS @ (cS @ (sK3 @ X5))))) & ($true = (X5 @ (sK2 @ X5) @ (sK3 @ X5)))) | ($true != (X5 @ c0 @ c0)) | ($true != (cDOUBLE @ X4 @ X6)) | ($true = (X5 @ X4 @ X6)))),
% 0.13/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f10,f9])).
% 0.13/0.40 thf(f9,plain,(
% 0.13/0.40 ? [X0,X1] : (((cHALF @ X1 @ X0) != $true) & ($true = (cDOUBLE @ X0 @ X1))) => (($true != (cHALF @ sK1 @ sK0)) & ($true = (cDOUBLE @ sK0 @ sK1)))),
% 0.13/0.40 introduced(choice_axiom,[])).
% 0.13/0.40 thf(f10,plain,(
% 0.13/0.40 ! [X5 : $i > $i > $o] : (? [X7,X8] : (((X5 @ (cS @ X7) @ (cS @ (cS @ X8))) != $true) & ((X5 @ X7 @ X8) = $true)) => (($true != (X5 @ (cS @ (sK2 @ X5)) @ (cS @ (cS @ (sK3 @ X5))))) & ($true = (X5 @ (sK2 @ X5) @ (sK3 @ X5)))))),
% 0.13/0.40 introduced(choice_axiom,[])).
% 0.13/0.40 thf(f8,plain,(
% 0.13/0.40 ? [X0,X1] : (((cHALF @ X1 @ X0) != $true) & ($true = (cDOUBLE @ X0 @ X1))) & ((cHALF @ c0 @ c0) = $true) & ! [X2,X3] : (((cHALF @ (cS @ (cS @ X3)) @ (cS @ X2)) = $true) | ($true != (cHALF @ X3 @ X2))) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X4,X5 : $i > $i > $o,X6] : (? [X7,X8] : (((X5 @ (cS @ X7) @ (cS @ (cS @ X8))) != $true) & ((X5 @ X7 @ X8) = $true)) | ($true != (X5 @ c0 @ c0)) | ($true != (cDOUBLE @ X4 @ X6)) | ($true = (X5 @ X4 @ X6)))),
% 0.13/0.40 inference(rectify,[],[f7])).
% 0.13/0.40 thf(f7,plain,(
% 0.13/0.40 ? [X8,X7] : (($true != (cHALF @ X7 @ X8)) & ($true = (cDOUBLE @ X8 @ X7))) & ((cHALF @ c0 @ c0) = $true) & ! [X0,X1] : (($true = (cHALF @ (cS @ (cS @ X1)) @ (cS @ X0))) | ((cHALF @ X1 @ X0) != $true)) & ((cHALF @ (cS @ c0) @ c0) = $true) & ! [X2,X4 : $i > $i > $o,X3] : (? [X6,X5] : (($true != (X4 @ (cS @ X6) @ (cS @ (cS @ X5)))) & ((X4 @ X6 @ X5) = $true)) | ((X4 @ c0 @ c0) != $true) | ($true != (cDOUBLE @ X2 @ X3)) | ($true = (X4 @ X2 @ X3)))),
% 0.13/0.40 inference(flattening,[],[f6])).
% 0.13/0.40 thf(f6,plain,(
% 0.13/0.40 ? [X8,X7] : (($true != (cHALF @ X7 @ X8)) & ($true = (cDOUBLE @ X8 @ X7))) & (! [X0,X1] : (($true = (cHALF @ (cS @ (cS @ X1)) @ (cS @ X0))) | ((cHALF @ X1 @ X0) != $true)) & ! [X4 : $i > $i > $o,X3,X2] : (($true = (X4 @ X2 @ X3)) | (? [X6,X5] : (($true != (X4 @ (cS @ X6) @ (cS @ (cS @ X5)))) & ((X4 @ X6 @ X5) = $true)) | ((X4 @ c0 @ c0) != $true) | ($true != (cDOUBLE @ X2 @ X3)))) & ((cHALF @ (cS @ c0) @ c0) = $true) & ((cHALF @ c0 @ c0) = $true))),
% 0.13/0.40 inference(ennf_transformation,[],[f5])).
% 0.13/0.40 thf(f5,plain,(
% 0.13/0.40 ~((! [X0,X1] : (((cHALF @ X1 @ X0) = $true) => ($true = (cHALF @ (cS @ (cS @ X1)) @ (cS @ X0)))) & ! [X4 : $i > $i > $o,X3,X2] : ((! [X5,X6] : (((X4 @ X6 @ X5) = $true) => ($true = (X4 @ (cS @ X6) @ (cS @ (cS @ X5))))) & ((X4 @ c0 @ c0) = $true) & ($true = (cDOUBLE @ X2 @ X3))) => ($true = (X4 @ X2 @ X3))) & ((cHALF @ (cS @ c0) @ c0) = $true) & ((cHALF @ c0 @ c0) = $true)) => ! [X7,X8] : (($true = (cDOUBLE @ X8 @ X7)) => ($true = (cHALF @ X7 @ X8))))),
% 0.13/0.40 inference(fool_elimination,[],[f4])).
% 0.13/0.40 thf(f4,plain,(
% 0.13/0.40 ~(((cHALF @ c0 @ c0) & ! [X0,X1] : ((cHALF @ X1 @ X0) => (cHALF @ (cS @ (cS @ X1)) @ (cS @ X0))) & ! [X2,X3,X4 : $i > $i > $o] : ((! [X5,X6] : ((X4 @ X6 @ X5) => (X4 @ (cS @ X6) @ (cS @ (cS @ X5)))) & (X4 @ c0 @ c0) & (cDOUBLE @ X2 @ X3)) => (X4 @ X2 @ X3)) & (cHALF @ (cS @ c0) @ c0)) => ! [X7,X8] : ((cDOUBLE @ X8 @ X7) => (cHALF @ X7 @ X8)))),
% 0.13/0.40 inference(rectify,[],[f2])).
% 0.13/0.40 thf(f2,negated_conjecture,(
% 0.13/0.40 ~(((cHALF @ c0 @ c0) & ! [X4,X3] : ((cHALF @ X3 @ X4) => (cHALF @ (cS @ (cS @ X3)) @ (cS @ X4))) & ! [X1,X2,X0 : $i > $i > $o] : ((! [X4,X3] : ((X0 @ X3 @ X4) => (X0 @ (cS @ X3) @ (cS @ (cS @ X4)))) & (X0 @ c0 @ c0) & (cDOUBLE @ X1 @ X2)) => (X0 @ X1 @ X2)) & (cHALF @ (cS @ c0) @ c0)) => ! [X2,X1] : ((cDOUBLE @ X1 @ X2) => (cHALF @ X2 @ X1)))),
% 0.13/0.40 inference(negated_conjecture,[],[f1])).
% 0.13/0.40 thf(f1,conjecture,(
% 0.13/0.40 ((cHALF @ c0 @ c0) & ! [X4,X3] : ((cHALF @ X3 @ X4) => (cHALF @ (cS @ (cS @ X3)) @ (cS @ X4))) & ! [X1,X2,X0 : $i > $i > $o] : ((! [X4,X3] : ((X0 @ X3 @ X4) => (X0 @ (cS @ X3) @ (cS @ (cS @ X4)))) & (X0 @ c0 @ c0) & (cDOUBLE @ X1 @ X2)) => (X0 @ X1 @ X2)) & (cHALF @ (cS @ c0) @ c0)) => ! [X2,X1] : ((cDOUBLE @ X1 @ X2) => (cHALF @ X2 @ X1))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM301)).
% 0.13/0.40 thf(f228,plain,(
% 0.13/0.40 ($true != (cDOUBLE @ sK0 @ sK1)) | ~spl4_5),
% 0.13/0.40 inference(trivial_inequality_removal,[],[f224])).
% 0.13/0.40 thf(f224,plain,(
% 0.13/0.40 ($true != $true) | ($true != (cDOUBLE @ sK0 @ sK1)) | ~spl4_5),
% 0.13/0.40 inference(superposition,[],[f18,f123])).
% 0.13/0.40 thf(f123,plain,(
% 0.13/0.40 ( ! [X0 : $i,X1 : $i] : (((cHALF @ X1 @ X0) = $true) | ($true != (cDOUBLE @ X0 @ X1))) ) | ~spl4_5),
% 0.13/0.40 inference(avatar_component_clause,[],[f122])).
% 0.13/0.40 thf(f122,plain,(
% 0.13/0.40 spl4_5 <=> ! [X0,X1] : (((cHALF @ X1 @ X0) = $true) | ($true != (cDOUBLE @ X0 @ X1)))),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl4_5])])).
% 0.13/0.40 thf(f18,plain,(
% 0.13/0.40 ($true != (cHALF @ sK1 @ sK0))),
% 0.13/0.40 inference(cnf_transformation,[],[f11])).
% 0.13/0.40 thf(f222,plain,(
% 0.13/0.40 spl4_5 | spl4_6),
% 0.13/0.40 inference(avatar_split_clause,[],[f221,f125,f122])).
% 0.13/0.40 thf(f125,plain,(
% 0.13/0.40 spl4_6 <=> ($true = (cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))))),
% 0.13/0.40 introduced(avatar_definition,[new_symbols(naming,[spl4_6])])).
% 0.13/0.40 thf(f221,plain,(
% 0.13/0.40 ( ! [X0 : $i,X1 : $i] : (((cHALF @ X1 @ X0) = $true) | ($true != (cDOUBLE @ X0 @ X1))) ) | spl4_6),
% 0.13/0.41 inference(subsumption_resolution,[],[f220,f16])).
% 0.13/0.41 thf(f16,plain,(
% 0.13/0.41 ((cHALF @ c0 @ c0) = $true)),
% 0.13/0.41 inference(cnf_transformation,[],[f11])).
% 0.13/0.41 thf(f220,plain,(
% 0.13/0.41 ( ! [X0 : $i,X1 : $i] : (((cHALF @ X1 @ X0) = $true) | ((cHALF @ c0 @ c0) != $true) | ($true != (cDOUBLE @ X0 @ X1))) ) | spl4_6),
% 0.13/0.41 inference(beta_eta_normalization,[],[f219])).
% 0.13/0.41 thf(f219,plain,(
% 0.13/0.41 ( ! [X0 : $i,X1 : $i] : (($true != (cDOUBLE @ X0 @ X1)) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true)) ) | spl4_6),
% 0.13/0.41 inference(trivial_inequality_removal,[],[f218])).
% 0.13/0.41 thf(f218,plain,(
% 0.13/0.41 ( ! [X0 : $i,X1 : $i] : (($true != (cDOUBLE @ X0 @ X1)) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) | ($true != $true)) ) | spl4_6),
% 0.13/0.41 inference(superposition,[],[f127,f12])).
% 0.13/0.41 thf(f12,plain,(
% 0.13/0.41 ( ! [X6 : $i,X4 : $i,X5 : $i > $i > $o] : (($true = (X5 @ (sK2 @ X5) @ (sK3 @ X5))) | ($true != (cDOUBLE @ X4 @ X6)) | ($true != (X5 @ c0 @ c0)) | ($true = (X5 @ X4 @ X6))) )),
% 0.13/0.41 inference(cnf_transformation,[],[f11])).
% 0.13/0.41 thf(f127,plain,(
% 0.13/0.41 ($true != (cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))))) | spl4_6),
% 0.13/0.41 inference(avatar_component_clause,[],[f125])).
% 0.13/0.41 thf(f128,plain,(
% 0.13/0.41 spl4_5 | ~spl4_6),
% 0.13/0.41 inference(avatar_split_clause,[],[f120,f125,f122])).
% 0.13/0.41 thf(f120,plain,(
% 0.13/0.41 ( ! [X0 : $i,X1 : $i] : (((cHALF @ X1 @ X0) = $true) | ($true != (cDOUBLE @ X0 @ X1)) | ($true != (cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))))) )),
% 0.13/0.41 inference(subsumption_resolution,[],[f96,f16])).
% 0.13/0.41 thf(f96,plain,(
% 0.13/0.41 ( ! [X0 : $i,X1 : $i] : (($true != (cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))))) | ($true != (cDOUBLE @ X0 @ X1)) | ((cHALF @ X1 @ X0) = $true) | ((cHALF @ c0 @ c0) != $true)) )),
% 0.13/0.41 inference(beta_eta_normalization,[],[f95])).
% 0.13/0.41 thf(f95,plain,(
% 0.13/0.41 ( ! [X0 : $i,X1 : $i] : (($true != (cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))))) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) | ($true != (cDOUBLE @ X0 @ X1))) )),
% 0.13/0.41 inference(trivial_inequality_removal,[],[f72])).
% 0.13/0.41 thf(f72,plain,(
% 0.13/0.41 ( ! [X0 : $i,X1 : $i] : (($true != (cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))))) | ($true != (cDOUBLE @ X0 @ X1)) | (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X0 @ X1) = $true) | ($true != $true) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0))) )),
% 0.13/0.41 inference(superposition,[],[f13,f15])).
% 0.13/0.41 thf(f15,plain,(
% 0.13/0.41 ( ! [X2 : $i,X3 : $i] : (((cHALF @ (cS @ (cS @ X3)) @ (cS @ X2)) = $true) | ($true != (cHALF @ X3 @ X2))) )),
% 0.13/0.41 inference(cnf_transformation,[],[f11])).
% 0.13/0.41 thf(f13,plain,(
% 0.13/0.41 ( ! [X6 : $i,X4 : $i,X5 : $i > $i > $o] : (($true != (X5 @ (cS @ (sK2 @ X5)) @ (cS @ (cS @ (sK3 @ X5))))) | ($true = (X5 @ X4 @ X6)) | ($true != (cDOUBLE @ X4 @ X6)) | ($true != (X5 @ c0 @ c0))) )),
% 0.13/0.41 inference(cnf_transformation,[],[f11])).
% 0.13/0.41 % SZS output end Proof for theBenchmark
% 0.13/0.41 % (22317)------------------------------
% 0.13/0.41 % (22317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (22317)Termination reason: Refutation
% 0.13/0.41
% 0.13/0.41 % (22317)Memory used [KB]: 5756
% 0.13/0.41 % (22317)Time elapsed: 0.022 s
% 0.13/0.41 % (22317)Instructions burned: 34 (million)
% 0.13/0.41 % (22317)------------------------------
% 0.13/0.41 % (22317)------------------------------
% 0.13/0.41 % (22316)Success in time 0.023 s
% 0.13/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------