TSTP Solution File: SEV235^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV235^5 : 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 : n020.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 09:41:51 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV235^5 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % 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
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 11:59:01 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36 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/tmp/tmp.UvgPhuOze7/Vampire---4.8_14964
% 0.21/0.38 % (15072)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)
% 0.21/0.38 % (15075)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.21/0.38 % (15073)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)
% 0.21/0.38 % (15077)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)
% 0.21/0.38 % (15075)Instruction limit reached!
% 0.21/0.38 % (15075)------------------------------
% 0.21/0.38 % (15075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (15075)Termination reason: Unknown
% 0.21/0.38 % (15075)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (15075)Memory used [KB]: 895
% 0.21/0.38 % (15075)Time elapsed: 0.003 s
% 0.21/0.38 % (15075)Instructions burned: 2 (million)
% 0.21/0.38 % (15075)------------------------------
% 0.21/0.38 % (15075)------------------------------
% 0.21/0.38 % (15073)Instruction limit reached!
% 0.21/0.38 % (15073)------------------------------
% 0.21/0.38 % (15073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (15073)Termination reason: Unknown
% 0.21/0.38 % (15073)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (15073)Memory used [KB]: 5500
% 0.21/0.38 % (15073)Time elapsed: 0.005 s
% 0.21/0.38 % (15073)Instructions burned: 4 (million)
% 0.21/0.38 % (15073)------------------------------
% 0.21/0.38 % (15073)------------------------------
% 0.21/0.38 % (15074)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)
% 0.21/0.38 % (15076)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)
% 0.21/0.38 % (15077)First to succeed.
% 0.21/0.38 % (15076)Instruction limit reached!
% 0.21/0.38 % (15076)------------------------------
% 0.21/0.38 % (15076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (15076)Termination reason: Unknown
% 0.21/0.38 % (15076)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (15076)Memory used [KB]: 5500
% 0.21/0.38 % (15076)Time elapsed: 0.003 s
% 0.21/0.38 % (15076)Instructions burned: 2 (million)
% 0.21/0.38 % (15076)------------------------------
% 0.21/0.38 % (15076)------------------------------
% 0.21/0.38 % (15074)Also succeeded, but the first one will report.
% 0.21/0.39 % (15077)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for Vampire---4
% 0.21/0.39 % SZS output start Proof for Vampire---4
% 0.21/0.39 thf(func_def_0, type, cE: $i > $o).
% 0.21/0.39 thf(func_def_1, type, cD: $i > $o).
% 0.21/0.39 thf(func_def_5, type, sP0: ($i > $o) > $o).
% 0.21/0.39 thf(func_def_6, type, sK1: ($i > $o) > $i).
% 0.21/0.39 thf(func_def_7, type, sK2: ($i > $o) > $i).
% 0.21/0.39 thf(func_def_8, type, sK3: $i > $o).
% 0.21/0.39 thf(func_def_11, type, ph6: !>[X0: $tType]:(X0)).
% 0.21/0.39 thf(f104,plain,(
% 0.21/0.39 $false),
% 0.21/0.39 inference(avatar_sat_refutation,[],[f38,f47,f88,f99,f103])).
% 0.21/0.39 thf(f103,plain,(
% 0.21/0.39 ~spl5_2 | spl5_4),
% 0.21/0.39 inference(avatar_contradiction_clause,[],[f102])).
% 0.21/0.39 thf(f102,plain,(
% 0.21/0.39 $false | (~spl5_2 | spl5_4)),
% 0.21/0.39 inference(subsumption_resolution,[],[f101,f37])).
% 0.21/0.39 thf(f37,plain,(
% 0.21/0.39 ($true = (sK3 @ sK4)) | ~spl5_2),
% 0.21/0.39 inference(avatar_component_clause,[],[f35])).
% 0.21/0.39 thf(f35,plain,(
% 0.21/0.39 spl5_2 <=> ($true = (sK3 @ sK4))),
% 0.21/0.39 introduced(avatar_definition,[new_symbols(naming,[spl5_2])])).
% 0.21/0.39 thf(f101,plain,(
% 0.21/0.39 ($true != (sK3 @ sK4)) | spl5_4),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f100])).
% 0.21/0.39 thf(f100,plain,(
% 0.21/0.39 ($true != $true) | ($true != (sK3 @ sK4)) | spl5_4),
% 0.21/0.39 inference(superposition,[],[f46,f49])).
% 0.21/0.39 thf(f49,plain,(
% 0.21/0.39 ( ! [X2 : $i] : (($true = (cD @ X2)) | ($true != (sK3 @ X2))) )),
% 0.21/0.39 inference(subsumption_resolution,[],[f27,f21])).
% 0.21/0.39 thf(f21,plain,(
% 0.21/0.39 ( ! [X3 : $i,X0 : $i > $o] : (($true != (sP0 @ X0)) | ($true != (X0 @ X3)) | ($true = (cD @ X3))) )),
% 0.21/0.39 inference(cnf_transformation,[],[f14])).
% 0.21/0.39 thf(f14,plain,(
% 0.21/0.39 ! [X0 : $i > $o] : ((($true = (sP0 @ X0)) | (((X0 @ (sK1 @ X0)) = $true) & ($true != (cD @ (sK1 @ X0)))) | (($true != (cE @ (sK2 @ X0))) & ($true = (X0 @ (sK2 @ X0))))) & ((! [X3] : (($true != (X0 @ X3)) | ($true = (cD @ X3))) & ! [X4] : (((cE @ X4) = $true) | ($true != (X0 @ X4)))) | ($true != (sP0 @ X0))))),
% 0.21/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f11,f13,f12])).
% 0.21/0.39 thf(f12,plain,(
% 0.21/0.39 ! [X0 : $i > $o] : (? [X1] : (((X0 @ X1) = $true) & ((cD @ X1) != $true)) => (((X0 @ (sK1 @ X0)) = $true) & ($true != (cD @ (sK1 @ X0)))))),
% 0.21/0.39 introduced(choice_axiom,[])).
% 0.21/0.39 thf(f13,plain,(
% 0.21/0.39 ! [X0 : $i > $o] : (? [X2] : (($true != (cE @ X2)) & ($true = (X0 @ X2))) => (($true != (cE @ (sK2 @ X0))) & ($true = (X0 @ (sK2 @ X0)))))),
% 0.21/0.39 introduced(choice_axiom,[])).
% 0.21/0.39 thf(f11,plain,(
% 0.21/0.39 ! [X0 : $i > $o] : ((($true = (sP0 @ X0)) | ? [X1] : (((X0 @ X1) = $true) & ((cD @ X1) != $true)) | ? [X2] : (($true != (cE @ X2)) & ($true = (X0 @ X2)))) & ((! [X3] : (($true != (X0 @ X3)) | ($true = (cD @ X3))) & ! [X4] : (((cE @ X4) = $true) | ($true != (X0 @ X4)))) | ($true != (sP0 @ X0))))),
% 0.21/0.39 inference(rectify,[],[f10])).
% 0.21/0.39 thf(f10,plain,(
% 0.21/0.39 ! [X0 : $i > $o] : ((($true = (sP0 @ X0)) | ? [X3] : (($true = (X0 @ X3)) & ($true != (cD @ X3))) | ? [X2] : (($true != (cE @ X2)) & ($true = (X0 @ X2)))) & ((! [X3] : (($true != (X0 @ X3)) | ($true = (cD @ X3))) & ! [X2] : (($true = (cE @ X2)) | ($true != (X0 @ X2)))) | ($true != (sP0 @ X0))))),
% 0.21/0.39 inference(flattening,[],[f9])).
% 0.21/0.39 thf(f9,plain,(
% 0.21/0.39 ! [X0 : $i > $o] : ((($true = (sP0 @ X0)) | (? [X3] : (($true = (X0 @ X3)) & ($true != (cD @ X3))) | ? [X2] : (($true != (cE @ X2)) & ($true = (X0 @ X2))))) & ((! [X3] : (($true != (X0 @ X3)) | ($true = (cD @ X3))) & ! [X2] : (($true = (cE @ X2)) | ($true != (X0 @ X2)))) | ($true != (sP0 @ X0))))),
% 0.21/0.39 inference(nnf_transformation,[],[f7])).
% 0.21/0.39 thf(f7,plain,(
% 0.21/0.39 ! [X0 : $i > $o] : (($true = (sP0 @ X0)) <=> (! [X3] : (($true != (X0 @ X3)) | ($true = (cD @ X3))) & ! [X2] : (($true = (cE @ X2)) | ($true != (X0 @ X2)))))),
% 0.21/0.39 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.21/0.39 thf(f27,plain,(
% 0.21/0.39 ( ! [X2 : $i] : (($true = (sP0 @ sK3)) | ($true = (cD @ X2)) | ($true != (sK3 @ X2))) )),
% 0.21/0.39 inference(cnf_transformation,[],[f19])).
% 0.21/0.39 thf(f19,plain,(
% 0.21/0.39 ((($true = (sK3 @ sK4)) & (($true != (cD @ sK4)) | ($true != (cE @ sK4)))) | ($true != (sP0 @ sK3))) & (! [X2] : (($true != (sK3 @ X2)) | (($true = (cD @ X2)) & ($true = (cE @ X2)))) | ($true = (sP0 @ sK3)))),
% 0.21/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f16,f18,f17])).
% 0.21/0.39 thf(f17,plain,(
% 0.21/0.39 ? [X0 : $i > $o] : ((? [X1] : (((X0 @ X1) = $true) & (((cD @ X1) != $true) | ((cE @ X1) != $true))) | ($true != (sP0 @ X0))) & (! [X2] : (($true != (X0 @ X2)) | (($true = (cD @ X2)) & ($true = (cE @ X2)))) | ($true = (sP0 @ X0)))) => ((? [X1] : (($true = (sK3 @ X1)) & (((cD @ X1) != $true) | ((cE @ X1) != $true))) | ($true != (sP0 @ sK3))) & (! [X2] : (($true != (sK3 @ X2)) | (($true = (cD @ X2)) & ($true = (cE @ X2)))) | ($true = (sP0 @ sK3))))),
% 0.21/0.39 introduced(choice_axiom,[])).
% 0.21/0.39 thf(f18,plain,(
% 0.21/0.39 ? [X1] : (($true = (sK3 @ X1)) & (((cD @ X1) != $true) | ((cE @ X1) != $true))) => (($true = (sK3 @ sK4)) & (($true != (cD @ sK4)) | ($true != (cE @ sK4))))),
% 0.21/0.39 introduced(choice_axiom,[])).
% 0.21/0.39 thf(f16,plain,(
% 0.21/0.39 ? [X0 : $i > $o] : ((? [X1] : (((X0 @ X1) = $true) & (((cD @ X1) != $true) | ((cE @ X1) != $true))) | ($true != (sP0 @ X0))) & (! [X2] : (($true != (X0 @ X2)) | (($true = (cD @ X2)) & ($true = (cE @ X2)))) | ($true = (sP0 @ X0))))),
% 0.21/0.39 inference(rectify,[],[f15])).
% 0.21/0.39 thf(f15,plain,(
% 0.21/0.39 ? [X0 : $i > $o] : ((? [X1] : (((X0 @ X1) = $true) & (((cD @ X1) != $true) | ((cE @ X1) != $true))) | ($true != (sP0 @ X0))) & (! [X1] : (((X0 @ X1) != $true) | (((cD @ X1) = $true) & ((cE @ X1) = $true))) | ($true = (sP0 @ X0))))),
% 0.21/0.39 inference(nnf_transformation,[],[f8])).
% 0.21/0.39 thf(f8,plain,(
% 0.21/0.39 ? [X0 : $i > $o] : (($true = (sP0 @ X0)) <~> ! [X1] : (((X0 @ X1) != $true) | (((cD @ X1) = $true) & ((cE @ X1) = $true))))),
% 0.21/0.39 inference(definition_folding,[],[f6,f7])).
% 0.21/0.39 thf(f6,plain,(
% 0.21/0.39 ? [X0 : $i > $o] : ((! [X3] : (($true != (X0 @ X3)) | ($true = (cD @ X3))) & ! [X2] : (($true = (cE @ X2)) | ($true != (X0 @ X2)))) <~> ! [X1] : (((X0 @ X1) != $true) | (((cD @ X1) = $true) & ((cE @ X1) = $true))))),
% 0.21/0.39 inference(ennf_transformation,[],[f5])).
% 0.21/0.39 thf(f5,plain,(
% 0.21/0.39 ~! [X0 : $i > $o] : ((! [X2] : (($true = (X0 @ X2)) => ($true = (cE @ X2))) & ! [X3] : (($true = (X0 @ X3)) => ($true = (cD @ X3)))) <=> ! [X1] : (((X0 @ X1) = $true) => (((cD @ X1) = $true) & ((cE @ X1) = $true))))),
% 0.21/0.39 inference(fool_elimination,[],[f4])).
% 0.21/0.39 thf(f4,plain,(
% 0.21/0.39 ~! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) => ((cD @ X1) & (cE @ X1))) <=> (! [X2] : ((X0 @ X2) => (cE @ X2)) & ! [X3] : ((X0 @ X3) => (cD @ X3))))),
% 0.21/0.39 inference(rectify,[],[f2])).
% 0.21/0.39 thf(f2,negated_conjecture,(
% 0.21/0.39 ~! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) => ((cD @ X1) & (cE @ X1))) <=> (! [X1] : ((X0 @ X1) => (cE @ X1)) & ! [X1] : ((X0 @ X1) => (cD @ X1))))),
% 0.21/0.39 inference(negated_conjecture,[],[f1])).
% 0.21/0.39 thf(f1,conjecture,(
% 0.21/0.39 ! [X0 : $i > $o] : (! [X1] : ((X0 @ X1) => ((cD @ X1) & (cE @ X1))) <=> (! [X1] : ((X0 @ X1) => (cE @ X1)) & ! [X1] : ((X0 @ X1) => (cD @ X1))))),
% 0.21/0.39 file('/export/starexec/sandbox/tmp/tmp.UvgPhuOze7/Vampire---4.8_14964',cTHM46A_pme)).
% 0.21/0.39 thf(f46,plain,(
% 0.21/0.39 ($true != (cD @ sK4)) | spl5_4),
% 0.21/0.39 inference(avatar_component_clause,[],[f44])).
% 0.21/0.39 thf(f44,plain,(
% 0.21/0.39 spl5_4 <=> ($true = (cD @ sK4))),
% 0.21/0.39 introduced(avatar_definition,[new_symbols(naming,[spl5_4])])).
% 0.21/0.39 thf(f99,plain,(
% 0.21/0.39 ~spl5_2 | spl5_3),
% 0.21/0.39 inference(avatar_contradiction_clause,[],[f98])).
% 0.21/0.39 thf(f98,plain,(
% 0.21/0.39 $false | (~spl5_2 | spl5_3)),
% 0.21/0.39 inference(subsumption_resolution,[],[f97,f37])).
% 0.21/0.39 thf(f97,plain,(
% 0.21/0.39 ($true != (sK3 @ sK4)) | spl5_3),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f96])).
% 0.21/0.39 thf(f96,plain,(
% 0.21/0.39 ($true != (sK3 @ sK4)) | ($true != $true) | spl5_3),
% 0.21/0.39 inference(superposition,[],[f42,f48])).
% 0.21/0.39 thf(f48,plain,(
% 0.21/0.39 ( ! [X2 : $i] : (($true = (cE @ X2)) | ($true != (sK3 @ X2))) )),
% 0.21/0.39 inference(subsumption_resolution,[],[f26,f20])).
% 0.21/0.39 thf(f20,plain,(
% 0.21/0.39 ( ! [X0 : $i > $o,X4 : $i] : (($true != (sP0 @ X0)) | ($true != (X0 @ X4)) | ((cE @ X4) = $true)) )),
% 0.21/0.39 inference(cnf_transformation,[],[f14])).
% 0.21/0.39 thf(f26,plain,(
% 0.21/0.39 ( ! [X2 : $i] : (($true != (sK3 @ X2)) | ($true = (sP0 @ sK3)) | ($true = (cE @ X2))) )),
% 0.21/0.39 inference(cnf_transformation,[],[f19])).
% 0.21/0.39 thf(f42,plain,(
% 0.21/0.39 ($true != (cE @ sK4)) | spl5_3),
% 0.21/0.39 inference(avatar_component_clause,[],[f40])).
% 0.21/0.39 thf(f40,plain,(
% 0.21/0.39 spl5_3 <=> ($true = (cE @ sK4))),
% 0.21/0.39 introduced(avatar_definition,[new_symbols(naming,[spl5_3])])).
% 0.21/0.39 thf(f88,plain,(
% 0.21/0.39 spl5_1),
% 0.21/0.39 inference(avatar_contradiction_clause,[],[f87])).
% 0.21/0.39 thf(f87,plain,(
% 0.21/0.39 $false | spl5_1),
% 0.21/0.39 inference(subsumption_resolution,[],[f86,f33])).
% 0.21/0.39 thf(f33,plain,(
% 0.21/0.39 ($true != (sP0 @ sK3)) | spl5_1),
% 0.21/0.39 inference(avatar_component_clause,[],[f31])).
% 0.21/0.39 thf(f31,plain,(
% 0.21/0.39 spl5_1 <=> ($true = (sP0 @ sK3))),
% 0.21/0.39 introduced(avatar_definition,[new_symbols(naming,[spl5_1])])).
% 0.21/0.39 thf(f86,plain,(
% 0.21/0.39 ($true = (sP0 @ sK3)) | spl5_1),
% 0.21/0.39 inference(subsumption_resolution,[],[f85,f76])).
% 0.21/0.39 thf(f76,plain,(
% 0.21/0.39 ($true != (sK3 @ (sK1 @ sK3))) | spl5_1),
% 0.21/0.39 inference(subsumption_resolution,[],[f75,f49])).
% 0.21/0.39 thf(f75,plain,(
% 0.21/0.39 ($true != (cD @ (sK1 @ sK3))) | ($true != (sK3 @ (sK1 @ sK3))) | spl5_1),
% 0.21/0.39 inference(subsumption_resolution,[],[f73,f33])).
% 0.21/0.39 thf(f73,plain,(
% 0.21/0.39 ($true != (cD @ (sK1 @ sK3))) | ($true = (sP0 @ sK3)) | ($true != (sK3 @ (sK1 @ sK3)))),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f72])).
% 0.21/0.39 thf(f72,plain,(
% 0.21/0.39 ($true = (sP0 @ sK3)) | ($true != $true) | ($true != (sK3 @ (sK1 @ sK3))) | ($true != (cD @ (sK1 @ sK3)))),
% 0.21/0.39 inference(duplicate_literal_removal,[],[f71])).
% 0.21/0.39 thf(f71,plain,(
% 0.21/0.39 ($true != (cD @ (sK1 @ sK3))) | ($true != $true) | ($true = (sP0 @ sK3)) | ($true = (sP0 @ sK3)) | ($true != (sK3 @ (sK1 @ sK3)))),
% 0.21/0.39 inference(superposition,[],[f59,f22])).
% 0.21/0.39 thf(f22,plain,(
% 0.21/0.39 ( ! [X0 : $i > $o] : (($true = (X0 @ (sK2 @ X0))) | ($true != (cD @ (sK1 @ X0))) | ($true = (sP0 @ X0))) )),
% 0.21/0.39 inference(cnf_transformation,[],[f14])).
% 0.21/0.39 thf(f59,plain,(
% 0.21/0.39 ( ! [X0 : $i > $o] : (($true != (sK3 @ (sK2 @ X0))) | ($true = (sP0 @ X0)) | ((sK3 @ (sK1 @ X0)) != $true)) )),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f52])).
% 0.21/0.39 thf(f52,plain,(
% 0.21/0.39 ( ! [X0 : $i > $o] : (($true != $true) | ((sK3 @ (sK1 @ X0)) != $true) | ($true != (sK3 @ (sK2 @ X0))) | ($true = (sP0 @ X0))) )),
% 0.21/0.39 inference(superposition,[],[f51,f48])).
% 0.21/0.39 thf(f51,plain,(
% 0.21/0.39 ( ! [X0 : $i > $o] : (($true != (cE @ (sK2 @ X0))) | ((sK3 @ (sK1 @ X0)) != $true) | ($true = (sP0 @ X0))) )),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f50])).
% 0.21/0.39 thf(f50,plain,(
% 0.21/0.39 ( ! [X0 : $i > $o] : (($true != (cE @ (sK2 @ X0))) | ($true != $true) | ((sK3 @ (sK1 @ X0)) != $true) | ($true = (sP0 @ X0))) )),
% 0.21/0.39 inference(superposition,[],[f23,f49])).
% 0.21/0.39 thf(f23,plain,(
% 0.21/0.39 ( ! [X0 : $i > $o] : (($true != (cD @ (sK1 @ X0))) | ($true != (cE @ (sK2 @ X0))) | ($true = (sP0 @ X0))) )),
% 0.21/0.39 inference(cnf_transformation,[],[f14])).
% 0.21/0.39 thf(f85,plain,(
% 0.21/0.39 ($true = (sK3 @ (sK1 @ sK3))) | ($true = (sP0 @ sK3)) | spl5_1),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f82])).
% 0.21/0.39 thf(f82,plain,(
% 0.21/0.39 ($true = (sP0 @ sK3)) | ($true != $true) | ($true = (sK3 @ (sK1 @ sK3))) | spl5_1),
% 0.21/0.39 inference(superposition,[],[f81,f24])).
% 0.21/0.39 thf(f24,plain,(
% 0.21/0.39 ( ! [X0 : $i > $o] : (($true = (X0 @ (sK2 @ X0))) | ($true = (sP0 @ X0)) | ((X0 @ (sK1 @ X0)) = $true)) )),
% 0.21/0.39 inference(cnf_transformation,[],[f14])).
% 0.21/0.39 thf(f81,plain,(
% 0.21/0.39 ($true != (sK3 @ (sK2 @ sK3))) | spl5_1),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f80])).
% 0.21/0.39 thf(f80,plain,(
% 0.21/0.39 ($true != $true) | ($true != (sK3 @ (sK2 @ sK3))) | spl5_1),
% 0.21/0.39 inference(superposition,[],[f79,f48])).
% 0.21/0.39 thf(f79,plain,(
% 0.21/0.39 ($true != (cE @ (sK2 @ sK3))) | spl5_1),
% 0.21/0.39 inference(subsumption_resolution,[],[f78,f33])).
% 0.21/0.39 thf(f78,plain,(
% 0.21/0.39 ($true = (sP0 @ sK3)) | ($true != (cE @ (sK2 @ sK3))) | spl5_1),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f77])).
% 0.21/0.39 thf(f77,plain,(
% 0.21/0.39 ($true != $true) | ($true = (sP0 @ sK3)) | ($true != (cE @ (sK2 @ sK3))) | spl5_1),
% 0.21/0.39 inference(superposition,[],[f76,f25])).
% 0.21/0.39 thf(f25,plain,(
% 0.21/0.39 ( ! [X0 : $i > $o] : (((X0 @ (sK1 @ X0)) = $true) | ($true != (cE @ (sK2 @ X0))) | ($true = (sP0 @ X0))) )),
% 0.21/0.39 inference(cnf_transformation,[],[f14])).
% 0.21/0.39 thf(f47,plain,(
% 0.21/0.39 ~spl5_1 | ~spl5_3 | ~spl5_4),
% 0.21/0.39 inference(avatar_split_clause,[],[f28,f44,f40,f31])).
% 0.21/0.39 thf(f28,plain,(
% 0.21/0.39 ($true != (cE @ sK4)) | ($true != (sP0 @ sK3)) | ($true != (cD @ sK4))),
% 0.21/0.39 inference(cnf_transformation,[],[f19])).
% 0.21/0.39 thf(f38,plain,(
% 0.21/0.39 ~spl5_1 | spl5_2),
% 0.21/0.39 inference(avatar_split_clause,[],[f29,f35,f31])).
% 0.21/0.39 thf(f29,plain,(
% 0.21/0.39 ($true != (sP0 @ sK3)) | ($true = (sK3 @ sK4))),
% 0.21/0.39 inference(cnf_transformation,[],[f19])).
% 0.21/0.39 % SZS output end Proof for Vampire---4
% 0.21/0.39 % (15077)------------------------------
% 0.21/0.39 % (15077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (15077)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (15077)Memory used [KB]: 5500
% 0.21/0.39 % (15077)Time elapsed: 0.009 s
% 0.21/0.39 % (15077)Instructions burned: 6 (million)
% 0.21/0.39 % (15077)------------------------------
% 0.21/0.39 % (15077)------------------------------
% 0.21/0.39 % (15071)Success in time 0.009 s
% 0.21/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------