TSTP Solution File: SWV443^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV443^1 : TPTP v8.1.2. Released v3.7.0.
% 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 : n005.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 10:34:38 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWV443^1 : TPTP v8.1.2. Released v3.7.0.
% 0.06/0.12 % 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
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 21:17:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TH0_THM_EQU_NAR problem
% 0.11/0.32 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/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166
% 0.11/0.34 % (25281)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 (2999ds/27Mi)
% 0.11/0.34 % (25283)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 (2999ds/2Mi)
% 0.11/0.34 % (25284)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 (2999ds/275Mi)
% 0.11/0.34 % (25279)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.11/0.34 % (25280)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 (2999ds/4Mi)
% 0.11/0.34 % (25286)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.11/0.34 % (25282)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.11/0.34 % (25285)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.11/0.34 % (25282)Instruction limit reached!
% 0.11/0.34 % (25282)------------------------------
% 0.11/0.34 % (25282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (25282)Termination reason: Unknown
% 0.11/0.34 % (25282)Termination phase: shuffling
% 0.11/0.34 % (25283)Instruction limit reached!
% 0.11/0.34 % (25283)------------------------------
% 0.11/0.34 % (25283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (25283)Termination reason: Unknown
% 0.11/0.34 % (25283)Termination phase: shuffling
% 0.11/0.34
% 0.11/0.34 % (25283)Memory used [KB]: 1023
% 0.11/0.34 % (25283)Time elapsed: 0.003 s
% 0.11/0.34 % (25283)Instructions burned: 3 (million)
% 0.11/0.34 % (25283)------------------------------
% 0.11/0.34 % (25283)------------------------------
% 0.11/0.34
% 0.11/0.34 % (25282)Memory used [KB]: 1023
% 0.11/0.34 % (25282)Time elapsed: 0.002 s
% 0.11/0.34 % (25282)Instructions burned: 2 (million)
% 0.11/0.34 % (25282)------------------------------
% 0.11/0.34 % (25282)------------------------------
% 0.11/0.34 % (25286)Instruction limit reached!
% 0.11/0.34 % (25286)------------------------------
% 0.11/0.34 % (25286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (25286)Termination reason: Unknown
% 0.11/0.34 % (25286)Termination phase: shuffling
% 0.11/0.34
% 0.11/0.34 % (25286)Memory used [KB]: 1023
% 0.11/0.34 % (25286)Time elapsed: 0.003 s
% 0.11/0.34 % (25286)Instructions burned: 3 (million)
% 0.11/0.34 % (25286)------------------------------
% 0.11/0.34 % (25286)------------------------------
% 0.11/0.34 % (25280)Instruction limit reached!
% 0.11/0.34 % (25280)------------------------------
% 0.11/0.34 % (25280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (25280)Termination reason: Unknown
% 0.11/0.34 % (25280)Termination phase: Unused predicate definition removal
% 0.11/0.34
% 0.11/0.34 % (25280)Memory used [KB]: 1023
% 0.11/0.34 % (25280)Time elapsed: 0.003 s
% 0.11/0.34 % (25280)Instructions burned: 4 (million)
% 0.11/0.34 % (25280)------------------------------
% 0.11/0.34 % (25280)------------------------------
% 0.11/0.34 % (25284)Refutation not found, incomplete strategy
% 0.11/0.34 % (25284)------------------------------
% 0.11/0.34 % (25284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (25284)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.34
% 0.11/0.34
% 0.11/0.34 % (25284)Memory used [KB]: 5500
% 0.11/0.34 % (25284)Time elapsed: 0.005 s
% 0.11/0.34 % (25284)Instructions burned: 7 (million)
% 0.11/0.34 % (25284)------------------------------
% 0.11/0.34 % (25284)------------------------------
% 0.11/0.35 % (25279)First to succeed.
% 0.11/0.35 % (25281)Also succeeded, but the first one will report.
% 0.11/0.35 % (25285)Also succeeded, but the first one will report.
% 0.11/0.35 % (25279)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Theorem for Vampire---4
% 0.11/0.35 % SZS output start Proof for Vampire---4
% 0.11/0.35 thf(type_def_6, type, individuals: $tType).
% 0.11/0.35 thf(func_def_1, type, prop_a: $i > $o).
% 0.11/0.35 thf(func_def_2, type, prop_b: $i > $o).
% 0.11/0.35 thf(func_def_3, type, prop_c: $i > $o).
% 0.11/0.35 thf(func_def_4, type, mfalse: $i > $o).
% 0.11/0.35 thf(func_def_5, type, mtrue: $i > $o).
% 0.11/0.35 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_14, type, individuals: $tType).
% 0.11/0.35 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.11/0.35 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.11/0.35 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.11/0.35 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.11/0.35 thf(func_def_21, type, reli: $i > $i > $o).
% 0.11/0.35 thf(func_def_22, type, relr: $i > $i > $o).
% 0.11/0.35 thf(func_def_23, type, cs4_atom: ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_24, type, cs4_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_25, type, cs4_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_26, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_27, type, cs4_true: $i > $o).
% 0.11/0.35 thf(func_def_28, type, cs4_false: $i > $o).
% 0.11/0.35 thf(func_def_29, type, cs4_all: (individuals > $i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_30, type, cs4_box: ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_31, type, cs4_valid: ($i > $o) > $o).
% 0.11/0.35 thf(func_def_32, type, princ_inj: individuals > $i > $o).
% 0.11/0.35 thf(func_def_33, type, bl_atom: ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_34, type, bl_princ: ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_35, type, bl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_36, type, bl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_37, type, bl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_38, type, bl_all: (individuals > $i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_39, type, bl_true: $i > $o).
% 0.11/0.35 thf(func_def_40, type, bl_false: $i > $o).
% 0.11/0.35 thf(func_def_41, type, bl_says: individuals > ($i > $o) > $i > $o).
% 0.11/0.35 thf(func_def_42, type, bl_valid: ($i > $o) > $o).
% 0.11/0.35 thf(func_def_43, type, loca: individuals).
% 0.11/0.35 thf(func_def_57, type, sK0: individuals).
% 0.11/0.35 thf(func_def_58, type, sK1: $i > $o).
% 0.11/0.35 thf(f192,plain,(
% 0.11/0.35 $false),
% 0.11/0.35 inference(trivial_inequality_removal,[],[f191])).
% 0.11/0.35 thf(f191,plain,(
% 0.11/0.35 ($false = $true)),
% 0.11/0.35 inference(beta_eta_normalization,[],[f190])).
% 0.11/0.35 thf(f190,plain,(
% 0.11/0.35 (((^[Y0 : $i]: ($true)) @ sK4) = $false)),
% 0.11/0.35 inference(sigma_clausification,[],[f189])).
% 0.11/0.35 thf(f189,plain,(
% 0.11/0.35 ($false = (!! @ $i @ (^[Y0 : $i]: ($true))))),
% 0.11/0.35 inference(beta_eta_normalization,[],[f188])).
% 0.11/0.35 thf(f188,plain,(
% 0.11/0.35 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))) @ sK3) = $false)),
% 0.11/0.35 inference(sigma_clausification,[],[f187])).
% 0.11/0.35 thf(f187,plain,(
% 0.11/0.35 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true))))) != $true)),
% 0.11/0.35 inference(boolean_simplification,[],[f186])).
% 0.11/0.35 thf(f186,plain,(
% 0.11/0.35 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => $true))))))),
% 0.11/0.35 inference(boolean_simplification,[],[f185])).
% 0.11/0.35 thf(f185,plain,(
% 0.11/0.35 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK1 @ Y5)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK0 @ Y5))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((relr @ Y2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((reli @ Y3 @ Y4) => ((!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (sK1 @ Y5)))) | (~ (!! @ $i @ (^[Y5 : $i]: ((reli @ Y4 @ Y5) => (princ_inj @ sK0 @ Y5)))))))))))))))))))))) != $true)),
% 0.11/0.35 inference(beta_eta_normalization,[],[f177])).
% 0.11/0.35 thf(f177,plain,(
% 0.11/0.35 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))) @ ((^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ relr @ Y2))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ (princ_inj @ Y0)) @ Y1))))) @ sK0 @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)) @ sK1)) @ ((^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ relr @ Y2))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ (princ_inj @ Y0)) @ Y1))))) @ sK0 @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)) @ sK1)))) != $true)),
% 0.11/0.35 inference(definition_unfolding,[],[f118,f175,f172,f174,f168,f174,f168])).
% 0.11/0.35 thf(f168,plain,(
% 0.11/0.35 (bl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)))),
% 0.11/0.35 inference(definition_unfolding,[],[f148,f161])).
% 0.11/0.35 thf(f161,plain,(
% 0.11/0.35 (cs4_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)))),
% 0.11/0.35 inference(definition_unfolding,[],[f132,f137])).
% 0.11/0.35 thf(f137,plain,(
% 0.11/0.35 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.11/0.35 inference(cnf_transformation,[],[f111])).
% 0.11/0.35 thf(f111,plain,(
% 0.11/0.35 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.11/0.35 inference(fool_elimination,[],[f110])).
% 0.11/0.35 thf(f110,plain,(
% 0.11/0.35 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))) = mbox)),
% 0.11/0.35 inference(rectify,[],[f8])).
% 0.11/0.35 thf(f8,axiom,(
% 0.11/0.35 ((^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))) = mbox)),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',mbox)).
% 0.11/0.35 thf(f132,plain,(
% 0.11/0.35 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 0.11/0.35 inference(cnf_transformation,[],[f59])).
% 0.11/0.35 thf(f59,plain,(
% 0.11/0.35 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 0.11/0.35 inference(fool_elimination,[],[f58])).
% 0.11/0.35 thf(f58,plain,(
% 0.11/0.35 ((^[X0 : $i > $o] : (mbox @ reli @ X0)) = cs4_atom)),
% 0.11/0.35 inference(rectify,[],[f16])).
% 0.11/0.35 thf(f16,axiom,(
% 0.11/0.35 ((^[X5 : $i > $o] : (mbox @ reli @ X5)) = cs4_atom)),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',cs4_atom)).
% 0.11/0.35 thf(f148,plain,(
% 0.11/0.35 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 0.11/0.35 inference(cnf_transformation,[],[f97])).
% 0.11/0.35 thf(f97,plain,(
% 0.11/0.35 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 0.11/0.35 inference(fool_elimination,[],[f96])).
% 0.11/0.35 thf(f96,plain,(
% 0.11/0.35 (bl_atom = (^[X0 : $i > $o] : (cs4_atom @ X0)))),
% 0.11/0.35 inference(rectify,[],[f30])).
% 0.11/0.35 thf(f30,axiom,(
% 0.11/0.35 (bl_atom = (^[X5 : $i > $o] : (cs4_atom @ X5)))),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',bl_atom)).
% 0.11/0.35 thf(f174,plain,(
% 0.11/0.35 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ reli @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y5 @ Y6) => (Y4 @ Y6))))))))) @ relr @ Y2))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ Y3)) @ Y2)) @ (princ_inj @ Y0)) @ Y1))))))),
% 0.11/0.35 inference(definition_unfolding,[],[f134,f166,f164,f169])).
% 0.11/0.35 thf(f169,plain,(
% 0.11/0.35 (bl_princ = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ Y1)) @ Y0)))),
% 0.11/0.35 inference(definition_unfolding,[],[f126,f161])).
% 0.11/0.35 thf(f126,plain,(
% 0.11/0.35 (bl_princ = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 0.11/0.35 inference(cnf_transformation,[],[f71])).
% 0.11/0.35 thf(f71,plain,(
% 0.11/0.35 (bl_princ = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 0.11/0.35 inference(fool_elimination,[],[f70])).
% 0.11/0.35 thf(f70,plain,(
% 0.11/0.35 (bl_princ = (^[X0 : $i > $o] : (cs4_atom @ X0)))),
% 0.11/0.35 inference(rectify,[],[f31])).
% 0.11/0.35 thf(f31,axiom,(
% 0.11/0.35 (bl_princ = (^[X5 : $i > $o] : (cs4_atom @ X5)))),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',bl_princ)).
% 0.11/0.35 thf(f164,plain,(
% 0.11/0.35 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ reli @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 0.11/0.35 inference(definition_unfolding,[],[f127,f137,f159])).
% 0.11/0.35 thf(f159,plain,(
% 0.11/0.35 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.11/0.35 inference(definition_unfolding,[],[f124,f128,f121])).
% 0.11/0.35 thf(f121,plain,(
% 0.11/0.35 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.11/0.35 inference(cnf_transformation,[],[f65])).
% 0.11/0.35 thf(f65,plain,(
% 0.11/0.35 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.11/0.35 inference(fool_elimination,[],[f64])).
% 0.11/0.35 thf(f64,plain,(
% 0.11/0.35 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.11/0.35 inference(rectify,[],[f3])).
% 0.11/0.35 thf(f3,axiom,(
% 0.11/0.35 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',mnot)).
% 0.11/0.35 thf(f128,plain,(
% 0.11/0.35 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.11/0.35 inference(cnf_transformation,[],[f47])).
% 0.11/0.35 thf(f47,plain,(
% 0.11/0.35 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.11/0.35 inference(fool_elimination,[],[f46])).
% 0.11/0.35 thf(f46,plain,(
% 0.11/0.35 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.11/0.35 inference(rectify,[],[f4])).
% 0.11/0.35 thf(f4,axiom,(
% 0.11/0.35 (mor = (^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))))),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',mor)).
% 0.11/0.35 thf(f124,plain,(
% 0.11/0.35 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.11/0.35 inference(cnf_transformation,[],[f61])).
% 0.11/0.35 thf(f61,plain,(
% 0.11/0.35 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.11/0.35 inference(fool_elimination,[],[f60])).
% 0.11/0.35 thf(f60,plain,(
% 0.11/0.35 (mimpl = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.11/0.35 inference(rectify,[],[f6])).
% 0.11/0.35 thf(f6,axiom,(
% 0.11/0.35 (mimpl = (^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)))),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',mimpl)).
% 0.11/0.35 thf(f127,plain,(
% 0.11/0.35 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 0.11/0.35 inference(cnf_transformation,[],[f113])).
% 0.11/0.35 thf(f113,plain,(
% 0.11/0.35 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 0.11/0.35 inference(fool_elimination,[],[f112])).
% 0.11/0.35 thf(f112,plain,(
% 0.11/0.35 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ reli @ (mimpl @ X0 @ X1))) = cs4_impl)),
% 0.11/0.35 inference(rectify,[],[f19])).
% 0.11/0.35 thf(f19,axiom,(
% 0.11/0.35 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ reli @ (mimpl @ X7 @ X8))) = cs4_impl)),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',cs4_impl)).
% 0.11/0.35 thf(f166,plain,(
% 0.11/0.35 (cs4_box = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ relr @ Y0))))),
% 0.11/0.35 inference(definition_unfolding,[],[f144,f137,f137])).
% 0.11/0.35 thf(f144,plain,(
% 0.11/0.35 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 0.11/0.35 inference(cnf_transformation,[],[f90])).
% 0.11/0.35 thf(f90,plain,(
% 0.11/0.35 (cs4_box = (^[Y0 : $i > $o]: (mbox @ reli @ (mbox @ relr @ Y0))))),
% 0.11/0.35 inference(fool_elimination,[],[f89])).
% 0.11/0.35 thf(f89,plain,(
% 0.11/0.35 ((^[X0 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X0))) = cs4_box)),
% 0.11/0.35 inference(rectify,[],[f23])).
% 0.11/0.35 thf(f23,axiom,(
% 0.11/0.35 ((^[X7 : $i > $o] : (mbox @ reli @ (mbox @ relr @ X7))) = cs4_box)),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',cs4_box)).
% 0.11/0.35 thf(f134,plain,(
% 0.11/0.35 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ Y0)) @ Y1))))))),
% 0.11/0.35 inference(cnf_transformation,[],[f80])).
% 0.11/0.35 thf(f80,plain,(
% 0.11/0.35 (bl_says = (^[Y0 : individuals]: ((^[Y1 : $i > $o]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ Y0)) @ Y1))))))),
% 0.11/0.35 inference(fool_elimination,[],[f79])).
% 0.11/0.35 thf(f79,plain,(
% 0.11/0.35 (bl_says = (^[X0 : individuals, X1 : $i > $o] : (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X0)) @ X1))))),
% 0.11/0.35 inference(rectify,[],[f38])).
% 0.11/0.35 thf(f38,axiom,(
% 0.11/0.35 (bl_says = (^[X9 : individuals, X7 : $i > $o] : (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X9)) @ X7))))),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',bl_says)).
% 0.11/0.35 thf(f172,plain,(
% 0.11/0.35 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y7))))))))) @ reli @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((Y7 @ Y8) | (Y6 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))))),
% 0.11/0.35 inference(definition_unfolding,[],[f153,f164])).
% 0.11/0.35 thf(f153,plain,(
% 0.11/0.35 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 0.11/0.35 inference(cnf_transformation,[],[f78])).
% 0.11/0.35 thf(f78,plain,(
% 0.11/0.35 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 0.11/0.35 inference(fool_elimination,[],[f77])).
% 0.11/0.35 thf(f77,plain,(
% 0.11/0.35 ((^[X0 : $i > $o, X1 : $i > $o] : (cs4_impl @ X0 @ X1)) = bl_impl)),
% 0.11/0.35 inference(rectify,[],[f34])).
% 0.11/0.35 thf(f34,axiom,(
% 0.11/0.35 ((^[X7 : $i > $o, X8 : $i > $o] : (cs4_impl @ X7 @ X8)) = bl_impl)),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',bl_impl)).
% 0.11/0.35 thf(f175,plain,(
% 0.11/0.35 (bl_valid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.11/0.35 inference(definition_unfolding,[],[f142,f138])).
% 0.11/0.35 thf(f138,plain,(
% 0.11/0.35 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.11/0.35 inference(cnf_transformation,[],[f63])).
% 0.11/0.35 thf(f63,plain,(
% 0.11/0.35 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.11/0.35 inference(fool_elimination,[],[f62])).
% 0.11/0.35 thf(f62,plain,(
% 0.11/0.35 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.11/0.35 inference(rectify,[],[f12])).
% 0.11/0.35 thf(f12,axiom,(
% 0.11/0.35 ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',mvalid)).
% 0.11/0.35 thf(f142,plain,(
% 0.11/0.35 (mvalid = bl_valid)),
% 0.11/0.35 inference(cnf_transformation,[],[f39])).
% 0.11/0.35 thf(f39,axiom,(
% 0.11/0.35 (mvalid = bl_valid)),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',bl_valid_def)).
% 0.11/0.35 thf(f118,plain,(
% 0.11/0.35 ((bl_valid @ (bl_impl @ (bl_says @ sK0 @ (bl_atom @ sK1)) @ (bl_says @ sK0 @ (bl_atom @ sK1)))) != $true)),
% 0.11/0.35 inference(cnf_transformation,[],[f116])).
% 0.11/0.35 thf(f116,plain,(
% 0.11/0.35 ((bl_valid @ (bl_impl @ (bl_says @ sK0 @ (bl_atom @ sK1)) @ (bl_says @ sK0 @ (bl_atom @ sK1)))) != $true)),
% 0.11/0.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f114,f115])).
% 0.11/0.35 thf(f115,plain,(
% 0.11/0.35 ? [X0 : individuals,X1 : $i > $o] : ((bl_valid @ (bl_impl @ (bl_says @ X0 @ (bl_atom @ X1)) @ (bl_says @ X0 @ (bl_atom @ X1)))) != $true) => ((bl_valid @ (bl_impl @ (bl_says @ sK0 @ (bl_atom @ sK1)) @ (bl_says @ sK0 @ (bl_atom @ sK1)))) != $true)),
% 0.11/0.35 introduced(choice_axiom,[])).
% 0.11/0.35 thf(f114,plain,(
% 0.11/0.35 ? [X0 : individuals,X1 : $i > $o] : ((bl_valid @ (bl_impl @ (bl_says @ X0 @ (bl_atom @ X1)) @ (bl_says @ X0 @ (bl_atom @ X1)))) != $true)),
% 0.11/0.35 inference(ennf_transformation,[],[f82])).
% 0.11/0.35 thf(f82,plain,(
% 0.11/0.35 ~! [X0 : individuals,X1 : $i > $o] : ((bl_valid @ (bl_impl @ (bl_says @ X0 @ (bl_atom @ X1)) @ (bl_says @ X0 @ (bl_atom @ X1)))) = $true)),
% 0.11/0.35 inference(fool_elimination,[],[f81])).
% 0.11/0.35 thf(f81,plain,(
% 0.11/0.35 ~! [X0 : individuals,X1 : $i > $o] : (bl_valid @ (bl_impl @ (bl_says @ X0 @ (bl_atom @ X1)) @ (bl_says @ X0 @ (bl_atom @ X1))))),
% 0.11/0.35 inference(rectify,[],[f42])).
% 0.11/0.35 thf(f42,negated_conjecture,(
% 0.11/0.35 ~! [X9 : individuals,X7 : $i > $o] : (bl_valid @ (bl_impl @ (bl_says @ X9 @ (bl_atom @ X7)) @ (bl_says @ X9 @ (bl_atom @ X7))))),
% 0.11/0.35 inference(negated_conjecture,[],[f41])).
% 0.11/0.35 thf(f41,conjecture,(
% 0.11/0.35 ! [X9 : individuals,X7 : $i > $o] : (bl_valid @ (bl_impl @ (bl_says @ X9 @ (bl_atom @ X7)) @ (bl_says @ X9 @ (bl_atom @ X7))))),
% 0.11/0.35 file('/export/starexec/sandbox2/tmp/tmp.4F1seoOz9G/Vampire---4.8_25166',bl_id2)).
% 0.11/0.35 % SZS output end Proof for Vampire---4
% 0.11/0.35 % (25279)------------------------------
% 0.11/0.35 % (25279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (25279)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (25279)Memory used [KB]: 5628
% 0.11/0.35 % (25279)Time elapsed: 0.009 s
% 0.11/0.35 % (25279)Instructions burned: 11 (million)
% 0.11/0.35 % (25279)------------------------------
% 0.11/0.35 % (25279)------------------------------
% 0.11/0.35 % (25278)Success in time 0.011 s
% 0.11/0.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------