TSTP Solution File: SWV442^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV442^1 : 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 : n008.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 10:34:37 EDT 2024
% Result : Theorem 0.23s 0.40s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV442^1 : TPTP v8.1.2. Released v3.7.0.
% 0.03/0.15 % 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
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 21:04:38 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 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.bVBhKsUeyM/Vampire---4.8_17966
% 0.23/0.39 % (18116)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)
% 0.23/0.39 % (18118)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)
% 0.23/0.39 % (18114)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)
% 0.23/0.39 % (18119)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)
% 0.23/0.39 % (18120)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.23/0.39 % (18118)Instruction limit reached!
% 0.23/0.39 % (18118)------------------------------
% 0.23/0.39 % (18118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (18118)Termination reason: Unknown
% 0.23/0.39 % (18118)Termination phase: shuffling
% 0.23/0.39
% 0.23/0.39 % (18118)Memory used [KB]: 1023
% 0.23/0.39 % (18118)Time elapsed: 0.003 s
% 0.23/0.39 % (18118)Instructions burned: 2 (million)
% 0.23/0.39 % (18118)------------------------------
% 0.23/0.39 % (18118)------------------------------
% 0.23/0.39 % (18121)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)
% 0.23/0.39 % (18119)Refutation not found, incomplete strategy
% 0.23/0.39 % (18119)------------------------------
% 0.23/0.39 % (18119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (18119)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.39
% 0.23/0.39
% 0.23/0.39 % (18119)Memory used [KB]: 5500
% 0.23/0.39 % (18119)Time elapsed: 0.006 s
% 0.23/0.39 % (18119)Instructions burned: 5 (million)
% 0.23/0.39 % (18119)------------------------------
% 0.23/0.39 % (18119)------------------------------
% 0.23/0.39 % (18117)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.23/0.39 % (18121)Instruction limit reached!
% 0.23/0.39 % (18121)------------------------------
% 0.23/0.39 % (18121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (18121)Termination reason: Unknown
% 0.23/0.39 % (18121)Termination phase: Property scanning
% 0.23/0.39
% 0.23/0.39 % (18121)Memory used [KB]: 1023
% 0.23/0.39 % (18121)Time elapsed: 0.004 s
% 0.23/0.39 % (18121)Instructions burned: 3 (million)
% 0.23/0.39 % (18121)------------------------------
% 0.23/0.39 % (18121)------------------------------
% 0.23/0.39 % (18117)Instruction limit reached!
% 0.23/0.39 % (18117)------------------------------
% 0.23/0.39 % (18117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39 % (18117)Termination reason: Unknown
% 0.23/0.39 % (18117)Termination phase: shuffling
% 0.23/0.39
% 0.23/0.39 % (18117)Memory used [KB]: 1023
% 0.23/0.39 % (18117)Time elapsed: 0.003 s
% 0.23/0.39 % (18117)Instructions burned: 2 (million)
% 0.23/0.39 % (18117)------------------------------
% 0.23/0.39 % (18117)------------------------------
% 0.23/0.39 % (18120)First to succeed.
% 0.23/0.40 % (18116)Also succeeded, but the first one will report.
% 0.23/0.40 % (18114)Also succeeded, but the first one will report.
% 0.23/0.40 % (18120)Refutation found. Thanks to Tanya!
% 0.23/0.40 % SZS status Theorem for Vampire---4
% 0.23/0.40 % SZS output start Proof for Vampire---4
% 0.23/0.40 thf(type_def_6, type, individuals: $tType).
% 0.23/0.40 thf(func_def_1, type, prop_a: $i > $o).
% 0.23/0.40 thf(func_def_2, type, prop_b: $i > $o).
% 0.23/0.40 thf(func_def_3, type, prop_c: $i > $o).
% 0.23/0.40 thf(func_def_4, type, mfalse: $i > $o).
% 0.23/0.40 thf(func_def_5, type, mtrue: $i > $o).
% 0.23/0.40 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_14, type, individuals: $tType).
% 0.23/0.40 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.23/0.40 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.23/0.40 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.23/0.40 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.23/0.40 thf(func_def_21, type, reli: $i > $i > $o).
% 0.23/0.40 thf(func_def_22, type, relr: $i > $i > $o).
% 0.23/0.40 thf(func_def_23, type, cs4_atom: ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_24, type, cs4_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_25, type, cs4_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_26, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_27, type, cs4_true: $i > $o).
% 0.23/0.40 thf(func_def_28, type, cs4_false: $i > $o).
% 0.23/0.40 thf(func_def_29, type, cs4_all: (individuals > $i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_30, type, cs4_box: ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_31, type, cs4_valid: ($i > $o) > $o).
% 0.23/0.40 thf(func_def_32, type, princ_inj: individuals > $i > $o).
% 0.23/0.40 thf(func_def_33, type, bl_atom: ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_34, type, bl_princ: ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_35, type, bl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_36, type, bl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_37, type, bl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_38, type, bl_all: (individuals > $i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_39, type, bl_true: $i > $o).
% 0.23/0.40 thf(func_def_40, type, bl_false: $i > $o).
% 0.23/0.40 thf(func_def_41, type, bl_says: individuals > ($i > $o) > $i > $o).
% 0.23/0.40 thf(func_def_42, type, bl_valid: ($i > $o) > $o).
% 0.23/0.40 thf(func_def_43, type, loca: individuals).
% 0.23/0.40 thf(func_def_57, type, sK0: $i > $o).
% 0.23/0.40 thf(func_def_59, type, sK2: $i > ($i > $o) > $i).
% 0.23/0.40 thf(f208,plain,(
% 0.23/0.40 $false),
% 0.23/0.40 inference(trivial_inequality_removal,[],[f207])).
% 0.23/0.40 thf(f207,plain,(
% 0.23/0.40 ($true = $false)),
% 0.23/0.40 inference(beta_eta_normalization,[],[f206])).
% 0.23/0.40 thf(f206,plain,(
% 0.23/0.40 ($false = ((^[Y0 : $i]: ($true)) @ sK4))),
% 0.23/0.40 inference(sigma_clausification,[],[f205])).
% 0.23/0.40 thf(f205,plain,(
% 0.23/0.40 ($false = (!! @ $i @ (^[Y0 : $i]: ($true))))),
% 0.23/0.40 inference(beta_eta_normalization,[],[f204])).
% 0.23/0.40 thf(f204,plain,(
% 0.23/0.40 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))) @ sK3) = $false)),
% 0.23/0.40 inference(sigma_clausification,[],[f203])).
% 0.23/0.40 thf(f203,plain,(
% 0.23/0.40 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true))))))),
% 0.23/0.40 inference(boolean_simplification,[],[f202])).
% 0.23/0.40 thf(f202,plain,(
% 0.23/0.40 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => $true))))))),
% 0.23/0.40 inference(boolean_simplification,[],[f201])).
% 0.23/0.40 thf(f201,plain,(
% 0.23/0.40 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((reli @ Y1 @ Y2) => (sK0 @ Y2)))))))))))),
% 0.23/0.40 inference(beta_eta_normalization,[],[f178])).
% 0.23/0.40 thf(f178,plain,(
% 0.23/0.40 (((^[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]: ((Y6 @ Y8) | (Y7 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))) @ ((^[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)) @ 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)) @ sK0))) != $true)),
% 0.23/0.40 inference(definition_unfolding,[],[f129,f175,f172,f168,f168])).
% 0.23/0.40 thf(f168,plain,(
% 0.23/0.40 (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)))),
% 0.23/0.40 inference(definition_unfolding,[],[f123,f160])).
% 0.23/0.40 thf(f160,plain,(
% 0.23/0.40 (cs4_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)))),
% 0.23/0.40 inference(definition_unfolding,[],[f138,f119])).
% 0.23/0.40 thf(f119,plain,(
% 0.23/0.40 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.23/0.40 inference(cnf_transformation,[],[f76])).
% 0.23/0.40 thf(f76,plain,(
% 0.23/0.40 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.23/0.40 inference(fool_elimination,[],[f75])).
% 0.23/0.40 thf(f75,plain,(
% 0.23/0.40 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))) = mbox)),
% 0.23/0.40 inference(rectify,[],[f8])).
% 0.23/0.40 thf(f8,axiom,(
% 0.23/0.40 ((^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))) = mbox)),
% 0.23/0.40 file('/export/starexec/sandbox2/tmp/tmp.bVBhKsUeyM/Vampire---4.8_17966',mbox)).
% 0.23/0.40 thf(f138,plain,(
% 0.23/0.40 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 0.23/0.40 inference(cnf_transformation,[],[f70])).
% 0.23/0.40 thf(f70,plain,(
% 0.23/0.40 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 0.23/0.40 inference(fool_elimination,[],[f69])).
% 0.23/0.40 thf(f69,plain,(
% 0.23/0.40 ((^[X0 : $i > $o] : (mbox @ reli @ X0)) = cs4_atom)),
% 0.23/0.40 inference(rectify,[],[f16])).
% 0.23/0.40 thf(f16,axiom,(
% 0.23/0.40 ((^[X5 : $i > $o] : (mbox @ reli @ X5)) = cs4_atom)),
% 0.23/0.40 file('/export/starexec/sandbox2/tmp/tmp.bVBhKsUeyM/Vampire---4.8_17966',cs4_atom)).
% 0.23/0.40 thf(f123,plain,(
% 0.23/0.40 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 0.23/0.40 inference(cnf_transformation,[],[f113])).
% 0.23/0.40 thf(f113,plain,(
% 0.23/0.40 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 0.23/0.40 inference(fool_elimination,[],[f112])).
% 0.23/0.40 thf(f112,plain,(
% 0.23/0.40 (bl_atom = (^[X0 : $i > $o] : (cs4_atom @ X0)))),
% 0.23/0.40 inference(rectify,[],[f30])).
% 0.23/0.40 thf(f30,axiom,(
% 0.23/0.40 (bl_atom = (^[X5 : $i > $o] : (cs4_atom @ X5)))),
% 0.23/0.40 file('/export/starexec/sandbox2/tmp/tmp.bVBhKsUeyM/Vampire---4.8_17966',bl_atom)).
% 0.23/0.40 thf(f172,plain,(
% 0.23/0.40 (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]: ((Y6 @ Y8) | (Y7 @ Y8))))))) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i]: (~ (Y6 @ Y7))))) @ Y4) @ Y5)))) @ Y2 @ Y3))))) @ Y0 @ Y1)))))),
% 0.23/0.40 inference(definition_unfolding,[],[f127,f163])).
% 0.23/0.40 thf(f163,plain,(
% 0.23/0.40 (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]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 0.23/0.40 inference(definition_unfolding,[],[f155,f119,f158])).
% 0.23/0.40 thf(f158,plain,(
% 0.23/0.40 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.23/0.40 inference(definition_unfolding,[],[f137,f131,f154])).
% 0.23/0.40 thf(f154,plain,(
% 0.23/0.40 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.23/0.40 inference(cnf_transformation,[],[f90])).
% 0.23/0.40 thf(f90,plain,(
% 0.23/0.40 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.23/0.40 inference(fool_elimination,[],[f89])).
% 0.23/0.40 thf(f89,plain,(
% 0.23/0.40 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.23/0.40 inference(rectify,[],[f3])).
% 0.23/0.40 thf(f3,axiom,(
% 0.23/0.40 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.23/0.40 file('/export/starexec/sandbox2/tmp/tmp.bVBhKsUeyM/Vampire---4.8_17966',mnot)).
% 0.23/0.40 thf(f131,plain,(
% 0.23/0.40 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.23/0.40 inference(cnf_transformation,[],[f65])).
% 0.23/0.40 thf(f65,plain,(
% 0.23/0.40 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.23/0.40 inference(fool_elimination,[],[f64])).
% 0.23/0.40 thf(f64,plain,(
% 0.23/0.40 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.23/0.40 inference(rectify,[],[f4])).
% 0.23/0.40 thf(f4,axiom,(
% 0.23/0.40 (mor = (^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X2 @ X1) | (X0 @ X1))))),
% 0.23/0.40 file('/export/starexec/sandbox2/tmp/tmp.bVBhKsUeyM/Vampire---4.8_17966',mor)).
% 0.23/0.40 thf(f137,plain,(
% 0.23/0.40 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.23/0.40 inference(cnf_transformation,[],[f82])).
% 0.23/0.40 thf(f82,plain,(
% 0.23/0.40 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.23/0.40 inference(fool_elimination,[],[f81])).
% 0.23/0.40 thf(f81,plain,(
% 0.23/0.40 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 0.23/0.40 inference(rectify,[],[f6])).
% 0.23/0.40 thf(f6,axiom,(
% 0.23/0.40 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 0.23/0.40 file('/export/starexec/sandbox2/tmp/tmp.bVBhKsUeyM/Vampire---4.8_17966',mimpl)).
% 0.23/0.40 thf(f155,plain,(
% 0.23/0.40 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 0.23/0.40 inference(cnf_transformation,[],[f99])).
% 0.23/0.40 thf(f99,plain,(
% 0.23/0.40 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 0.23/0.40 inference(fool_elimination,[],[f98])).
% 0.23/0.40 thf(f98,plain,(
% 0.23/0.40 (cs4_impl = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ reli @ (mimpl @ X0 @ X1))))),
% 0.23/0.40 inference(rectify,[],[f19])).
% 0.23/0.40 thf(f19,axiom,(
% 0.23/0.40 (cs4_impl = (^[X7 : $i > $o, X8 : $i > $o] : (mbox @ reli @ (mimpl @ X7 @ X8))))),
% 0.23/0.40 file('/export/starexec/sandbox2/tmp/tmp.bVBhKsUeyM/Vampire---4.8_17966',cs4_impl)).
% 0.23/0.40 thf(f127,plain,(
% 0.23/0.40 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 0.23/0.40 inference(cnf_transformation,[],[f78])).
% 0.23/0.40 thf(f78,plain,(
% 0.23/0.40 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 0.23/0.40 inference(fool_elimination,[],[f77])).
% 0.23/0.40 thf(f77,plain,(
% 0.23/0.40 ((^[X0 : $i > $o, X1 : $i > $o] : (cs4_impl @ X0 @ X1)) = bl_impl)),
% 0.23/0.40 inference(rectify,[],[f34])).
% 0.23/0.40 thf(f34,axiom,(
% 0.23/0.40 ((^[X7 : $i > $o, X8 : $i > $o] : (cs4_impl @ X7 @ X8)) = bl_impl)),
% 0.23/0.40 file('/export/starexec/sandbox2/tmp/tmp.bVBhKsUeyM/Vampire---4.8_17966',bl_impl)).
% 0.23/0.40 thf(f175,plain,(
% 0.23/0.40 (bl_valid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.40 inference(definition_unfolding,[],[f151,f139])).
% 0.23/0.40 thf(f139,plain,(
% 0.23/0.40 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.40 inference(cnf_transformation,[],[f55])).
% 0.23/0.40 thf(f55,plain,(
% 0.23/0.40 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.40 inference(fool_elimination,[],[f54])).
% 0.23/0.40 thf(f54,plain,(
% 0.23/0.40 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.23/0.40 inference(rectify,[],[f12])).
% 0.23/0.40 thf(f12,axiom,(
% 0.23/0.40 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.23/0.40 file('/export/starexec/sandbox2/tmp/tmp.bVBhKsUeyM/Vampire---4.8_17966',mvalid)).
% 0.23/0.40 thf(f151,plain,(
% 0.23/0.40 (mvalid = bl_valid)),
% 0.23/0.40 inference(cnf_transformation,[],[f39])).
% 0.23/0.40 thf(f39,axiom,(
% 0.23/0.40 (mvalid = bl_valid)),
% 0.23/0.40 file('/export/starexec/sandbox2/tmp/tmp.bVBhKsUeyM/Vampire---4.8_17966',bl_valid_def)).
% 0.23/0.40 thf(f129,plain,(
% 0.23/0.40 ((bl_valid @ (bl_impl @ (bl_atom @ sK0) @ (bl_atom @ sK0))) != $true)),
% 0.23/0.40 inference(cnf_transformation,[],[f116])).
% 0.23/0.40 thf(f116,plain,(
% 0.23/0.40 ((bl_valid @ (bl_impl @ (bl_atom @ sK0) @ (bl_atom @ sK0))) != $true)),
% 0.23/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f114,f115])).
% 0.23/0.40 thf(f115,plain,(
% 0.23/0.40 ? [X0 : $i > $o] : ($true != (bl_valid @ (bl_impl @ (bl_atom @ X0) @ (bl_atom @ X0)))) => ((bl_valid @ (bl_impl @ (bl_atom @ sK0) @ (bl_atom @ sK0))) != $true)),
% 0.23/0.40 introduced(choice_axiom,[])).
% 0.23/0.40 thf(f114,plain,(
% 0.23/0.40 ? [X0 : $i > $o] : ($true != (bl_valid @ (bl_impl @ (bl_atom @ X0) @ (bl_atom @ X0))))),
% 0.23/0.40 inference(ennf_transformation,[],[f72])).
% 0.23/0.40 thf(f72,plain,(
% 0.23/0.40 ~! [X0 : $i > $o] : ($true = (bl_valid @ (bl_impl @ (bl_atom @ X0) @ (bl_atom @ X0))))),
% 0.23/0.40 inference(fool_elimination,[],[f71])).
% 0.23/0.40 thf(f71,plain,(
% 0.23/0.40 ~! [X0 : $i > $o] : (bl_valid @ (bl_impl @ (bl_atom @ X0) @ (bl_atom @ X0)))),
% 0.23/0.40 inference(rectify,[],[f42])).
% 0.23/0.40 thf(f42,negated_conjecture,(
% 0.23/0.40 ~! [X7 : $i > $o] : (bl_valid @ (bl_impl @ (bl_atom @ X7) @ (bl_atom @ X7)))),
% 0.23/0.40 inference(negated_conjecture,[],[f41])).
% 0.23/0.40 thf(f41,conjecture,(
% 0.23/0.40 ! [X7 : $i > $o] : (bl_valid @ (bl_impl @ (bl_atom @ X7) @ (bl_atom @ X7)))),
% 0.23/0.40 file('/export/starexec/sandbox2/tmp/tmp.bVBhKsUeyM/Vampire---4.8_17966',bl_id)).
% 0.23/0.40 % SZS output end Proof for Vampire---4
% 0.23/0.40 % (18120)------------------------------
% 0.23/0.40 % (18120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (18120)Termination reason: Refutation
% 0.23/0.40
% 0.23/0.40 % (18120)Memory used [KB]: 5628
% 0.23/0.40 % (18120)Time elapsed: 0.010 s
% 0.23/0.40 % (18120)Instructions burned: 11 (million)
% 0.23/0.40 % (18120)------------------------------
% 0.23/0.40 % (18120)------------------------------
% 0.23/0.40 % (18113)Success in time 0.009 s
% 0.23/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------