TSTP Solution File: SWV442^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV442^1 : TPTP v8.2.0. 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/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 : Tue May 21 06:01:20 EDT 2024
% Result : Theorem 0.18s 0.37s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV442^1 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.13 % 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
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 07:33:22 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a TH0_THM_EQU_NAR problem
% 0.12/0.34 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
% 0.12/0.36 % (19159)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.36 % (19155)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)
% 0.12/0.36 % (19154)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)
% 0.12/0.36 % (19158)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)
% 0.12/0.36 % (19153)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.36 % (19156)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.36 % (19157)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)
% 0.12/0.36 % (19160)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)
% 0.12/0.36 % (19156)Instruction limit reached!
% 0.12/0.36 % (19156)------------------------------
% 0.12/0.36 % (19156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (19156)Termination reason: Unknown
% 0.12/0.36 % (19156)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (19157)Instruction limit reached!
% 0.12/0.36 % (19157)------------------------------
% 0.12/0.36 % (19157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (19157)Termination reason: Unknown
% 0.12/0.36 % (19157)Termination phase: shuffling
% 0.12/0.36
% 0.12/0.36 % (19157)Memory used [KB]: 1023
% 0.12/0.36 % (19157)Time elapsed: 0.003 s
% 0.12/0.36 % (19157)Instructions burned: 3 (million)
% 0.12/0.36 % (19157)------------------------------
% 0.12/0.36 % (19157)------------------------------
% 0.12/0.36 % (19156)Memory used [KB]: 1023
% 0.12/0.36 % (19156)Time elapsed: 0.003 s
% 0.12/0.36 % (19156)Instructions burned: 3 (million)
% 0.12/0.36 % (19156)------------------------------
% 0.12/0.36 % (19156)------------------------------
% 0.12/0.36 % (19160)Instruction limit reached!
% 0.12/0.36 % (19160)------------------------------
% 0.12/0.36 % (19160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (19160)Termination reason: Unknown
% 0.12/0.36 % (19160)Termination phase: Property scanning
% 0.12/0.36
% 0.12/0.36 % (19160)Memory used [KB]: 1023
% 0.12/0.36 % (19154)Instruction limit reached!
% 0.12/0.36 % (19154)------------------------------
% 0.12/0.36 % (19154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (19154)Termination reason: Unknown
% 0.12/0.36 % (19154)Termination phase: Property scanning
% 0.12/0.36
% 0.12/0.36 % (19154)Memory used [KB]: 1023
% 0.12/0.36 % (19154)Time elapsed: 0.004 s
% 0.12/0.36 % (19154)Instructions burned: 5 (million)
% 0.12/0.36 % (19154)------------------------------
% 0.12/0.36 % (19154)------------------------------
% 0.12/0.36 % (19160)Time elapsed: 0.003 s
% 0.12/0.36 % (19160)Instructions burned: 4 (million)
% 0.12/0.36 % (19160)------------------------------
% 0.12/0.36 % (19160)------------------------------
% 0.12/0.36 % (19158)Refutation not found, incomplete strategy
% 0.12/0.36 % (19158)------------------------------
% 0.12/0.36 % (19158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (19158)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % (19158)Memory used [KB]: 5500
% 0.12/0.36 % (19158)Time elapsed: 0.005 s
% 0.12/0.36 % (19158)Instructions burned: 5 (million)
% 0.12/0.36 % (19158)------------------------------
% 0.12/0.36 % (19158)------------------------------
% 0.18/0.37 % (19159)First to succeed.
% 0.18/0.37 % (19153)Also succeeded, but the first one will report.
% 0.18/0.37 % (19155)Also succeeded, but the first one will report.
% 0.18/0.37 % (19159)Refutation found. Thanks to Tanya!
% 0.18/0.37 % SZS status Theorem for theBenchmark
% 0.18/0.37 % SZS output start Proof for theBenchmark
% 0.18/0.37 thf(type_def_6, type, individuals: $tType).
% 0.18/0.37 thf(func_def_1, type, prop_a: $i > $o).
% 0.18/0.37 thf(func_def_2, type, prop_b: $i > $o).
% 0.18/0.37 thf(func_def_3, type, prop_c: $i > $o).
% 0.18/0.37 thf(func_def_4, type, mfalse: $i > $o).
% 0.18/0.37 thf(func_def_5, type, mtrue: $i > $o).
% 0.18/0.37 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_14, type, individuals: $tType).
% 0.18/0.37 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.18/0.37 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.18/0.37 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.18/0.37 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.18/0.37 thf(func_def_21, type, reli: $i > $i > $o).
% 0.18/0.37 thf(func_def_22, type, relr: $i > $i > $o).
% 0.18/0.37 thf(func_def_23, type, cs4_atom: ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_24, type, cs4_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_25, type, cs4_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_26, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_27, type, cs4_true: $i > $o).
% 0.18/0.37 thf(func_def_28, type, cs4_false: $i > $o).
% 0.18/0.37 thf(func_def_29, type, cs4_all: (individuals > $i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_30, type, cs4_box: ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_31, type, cs4_valid: ($i > $o) > $o).
% 0.18/0.37 thf(func_def_32, type, princ_inj: individuals > $i > $o).
% 0.18/0.37 thf(func_def_33, type, bl_atom: ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_34, type, bl_princ: ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_35, type, bl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_36, type, bl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_37, type, bl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_38, type, bl_all: (individuals > $i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_39, type, bl_true: $i > $o).
% 0.18/0.37 thf(func_def_40, type, bl_false: $i > $o).
% 0.18/0.37 thf(func_def_41, type, bl_says: individuals > ($i > $o) > $i > $o).
% 0.18/0.37 thf(func_def_42, type, bl_valid: ($i > $o) > $o).
% 0.18/0.37 thf(func_def_43, type, loca: individuals).
% 0.18/0.37 thf(func_def_57, type, sK0: $i > $o).
% 0.18/0.37 thf(func_def_59, type, sK2: $i > ($i > $o) > $i).
% 0.18/0.37 thf(func_def_60, type, sK3: $i > ($i > $o) > $i).
% 0.18/0.37 thf(func_def_61, type, sK4: $i > ($i > $o) > $i).
% 0.18/0.37 thf(f243,plain,(
% 0.18/0.37 $false),
% 0.18/0.37 inference(trivial_inequality_removal,[],[f242])).
% 0.18/0.37 thf(f242,plain,(
% 0.18/0.37 ($true = $false)),
% 0.18/0.37 inference(beta_eta_normalization,[],[f241])).
% 0.18/0.37 thf(f241,plain,(
% 0.18/0.37 (((^[Y0 : $i]: ($true)) @ sK6) = $false)),
% 0.18/0.37 inference(sigma_clausification,[],[f240])).
% 0.18/0.37 thf(f240,plain,(
% 0.18/0.37 ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false)),
% 0.18/0.37 inference(beta_eta_normalization,[],[f239])).
% 0.18/0.37 thf(f239,plain,(
% 0.18/0.37 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))) @ sK5))),
% 0.18/0.37 inference(sigma_clausification,[],[f238])).
% 0.18/0.37 thf(f238,plain,(
% 0.18/0.37 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true))))))),
% 0.18/0.37 inference(boolean_simplification,[],[f237])).
% 0.18/0.37 thf(f237,plain,(
% 0.18/0.37 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((reli @ Y0 @ Y1) => $true))))))),
% 0.18/0.37 inference(boolean_simplification,[],[f236])).
% 0.18/0.37 thf(f236,plain,(
% 0.18/0.37 ($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))))))))))))),
% 0.18/0.37 inference(beta_eta_normalization,[],[f182])).
% 0.18/0.37 thf(f182,plain,(
% 0.18/0.37 (((^[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 : $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)),
% 0.18/0.37 inference(definition_unfolding,[],[f143,f176,f173,f169,f169])).
% 0.18/0.37 thf(f169,plain,(
% 0.18/0.37 (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)))),
% 0.18/0.37 inference(definition_unfolding,[],[f146,f161])).
% 0.18/0.37 thf(f161,plain,(
% 0.18/0.37 (cs4_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ reli @ Y0)))),
% 0.18/0.37 inference(definition_unfolding,[],[f154,f128])).
% 0.18/0.37 thf(f128,plain,(
% 0.18/0.37 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.18/0.37 inference(cnf_transformation,[],[f97])).
% 0.18/0.37 thf(f97,plain,(
% 0.18/0.37 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.18/0.37 inference(fool_elimination,[],[f96])).
% 0.18/0.37 thf(f96,plain,(
% 0.18/0.37 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.18/0.37 inference(rectify,[],[f8])).
% 0.18/0.37 thf(f8,axiom,(
% 0.18/0.37 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.18/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.18/0.37 thf(f154,plain,(
% 0.18/0.37 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 0.18/0.37 inference(cnf_transformation,[],[f67])).
% 0.18/0.37 thf(f67,plain,(
% 0.18/0.37 (cs4_atom = (^[Y0 : $i > $o]: (mbox @ reli @ Y0)))),
% 0.18/0.37 inference(fool_elimination,[],[f66])).
% 0.18/0.37 thf(f66,plain,(
% 0.18/0.37 (cs4_atom = (^[X0 : $i > $o] : (mbox @ reli @ X0)))),
% 0.18/0.37 inference(rectify,[],[f16])).
% 0.18/0.37 thf(f16,axiom,(
% 0.18/0.37 (cs4_atom = (^[X5 : $i > $o] : (mbox @ reli @ X5)))),
% 0.18/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_atom)).
% 0.18/0.37 thf(f146,plain,(
% 0.18/0.37 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 0.18/0.37 inference(cnf_transformation,[],[f47])).
% 0.18/0.37 thf(f47,plain,(
% 0.18/0.37 (bl_atom = (^[Y0 : $i > $o]: (cs4_atom @ Y0)))),
% 0.18/0.37 inference(fool_elimination,[],[f46])).
% 0.18/0.37 thf(f46,plain,(
% 0.18/0.37 ((^[X0 : $i > $o] : (cs4_atom @ X0)) = bl_atom)),
% 0.18/0.37 inference(rectify,[],[f30])).
% 0.18/0.37 thf(f30,axiom,(
% 0.18/0.37 ((^[X5 : $i > $o] : (cs4_atom @ X5)) = bl_atom)),
% 0.18/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_atom)).
% 0.18/0.37 thf(f173,plain,(
% 0.18/0.37 (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)))))),
% 0.18/0.37 inference(definition_unfolding,[],[f155,f164])).
% 0.18/0.37 thf(f164,plain,(
% 0.18/0.37 (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))))))),
% 0.18/0.37 inference(definition_unfolding,[],[f149,f128,f159])).
% 0.18/0.37 thf(f159,plain,(
% 0.18/0.37 (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)))))),
% 0.18/0.37 inference(definition_unfolding,[],[f131,f130,f145])).
% 0.18/0.37 thf(f145,plain,(
% 0.18/0.37 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.18/0.37 inference(cnf_transformation,[],[f69])).
% 0.18/0.37 thf(f69,plain,(
% 0.18/0.37 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.18/0.37 inference(fool_elimination,[],[f68])).
% 0.18/0.37 thf(f68,plain,(
% 0.18/0.37 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.18/0.37 inference(rectify,[],[f3])).
% 0.18/0.37 thf(f3,axiom,(
% 0.18/0.37 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.18/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.18/0.37 thf(f130,plain,(
% 0.18/0.37 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.18/0.37 inference(cnf_transformation,[],[f60])).
% 0.18/0.37 thf(f60,plain,(
% 0.18/0.37 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.18/0.37 inference(fool_elimination,[],[f59])).
% 0.18/0.37 thf(f59,plain,(
% 0.18/0.37 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.18/0.37 inference(rectify,[],[f4])).
% 0.18/0.37 thf(f4,axiom,(
% 0.18/0.37 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))) = mor)),
% 0.18/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.18/0.37 thf(f131,plain,(
% 0.18/0.37 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.18/0.37 inference(cnf_transformation,[],[f101])).
% 0.18/0.37 thf(f101,plain,(
% 0.18/0.37 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.18/0.37 inference(fool_elimination,[],[f100])).
% 0.18/0.37 thf(f100,plain,(
% 0.18/0.37 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 0.18/0.37 inference(rectify,[],[f6])).
% 0.18/0.37 thf(f6,axiom,(
% 0.18/0.37 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 0.18/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimpl)).
% 0.18/0.37 thf(f149,plain,(
% 0.18/0.37 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 0.18/0.37 inference(cnf_transformation,[],[f73])).
% 0.18/0.37 thf(f73,plain,(
% 0.18/0.37 (cs4_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ reli @ (mimpl @ Y0 @ Y1))))))),
% 0.18/0.37 inference(fool_elimination,[],[f72])).
% 0.18/0.37 thf(f72,plain,(
% 0.18/0.37 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ reli @ (mimpl @ X0 @ X1))) = cs4_impl)),
% 0.18/0.37 inference(rectify,[],[f19])).
% 0.18/0.37 thf(f19,axiom,(
% 0.18/0.37 ((^[X7 : $i > $o, X8 : $i > $o] : (mbox @ reli @ (mimpl @ X7 @ X8))) = cs4_impl)),
% 0.18/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_impl)).
% 0.18/0.37 thf(f155,plain,(
% 0.18/0.37 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 0.18/0.37 inference(cnf_transformation,[],[f93])).
% 0.18/0.37 thf(f93,plain,(
% 0.18/0.37 (bl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (cs4_impl @ Y0 @ Y1)))))),
% 0.18/0.37 inference(fool_elimination,[],[f92])).
% 0.18/0.37 thf(f92,plain,(
% 0.18/0.37 ((^[X0 : $i > $o, X1 : $i > $o] : (cs4_impl @ X0 @ X1)) = bl_impl)),
% 0.18/0.37 inference(rectify,[],[f34])).
% 0.18/0.37 thf(f34,axiom,(
% 0.18/0.37 ((^[X7 : $i > $o, X8 : $i > $o] : (cs4_impl @ X7 @ X8)) = bl_impl)),
% 0.18/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_impl)).
% 0.18/0.37 thf(f176,plain,(
% 0.18/0.37 (bl_valid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.18/0.37 inference(definition_unfolding,[],[f124,f118])).
% 0.18/0.37 thf(f118,plain,(
% 0.18/0.37 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.18/0.37 inference(cnf_transformation,[],[f99])).
% 0.18/0.37 thf(f99,plain,(
% 0.18/0.37 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.18/0.37 inference(fool_elimination,[],[f98])).
% 0.18/0.37 thf(f98,plain,(
% 0.18/0.37 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.18/0.37 inference(rectify,[],[f12])).
% 0.18/0.37 thf(f12,axiom,(
% 0.18/0.37 (mvalid = (^[X5 : $i > $o] : (! [X6] : (X5 @ X6))))),
% 0.18/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.18/0.37 thf(f124,plain,(
% 0.18/0.37 (mvalid = bl_valid)),
% 0.18/0.37 inference(cnf_transformation,[],[f39])).
% 0.18/0.37 thf(f39,axiom,(
% 0.18/0.37 (mvalid = bl_valid)),
% 0.18/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_valid_def)).
% 0.18/0.37 thf(f143,plain,(
% 0.18/0.37 ($true != (bl_valid @ (bl_impl @ (bl_atom @ sK0) @ (bl_atom @ sK0))))),
% 0.18/0.37 inference(cnf_transformation,[],[f116])).
% 0.18/0.37 thf(f116,plain,(
% 0.18/0.37 ($true != (bl_valid @ (bl_impl @ (bl_atom @ sK0) @ (bl_atom @ sK0))))),
% 0.18/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f114,f115])).
% 0.18/0.37 thf(f115,plain,(
% 0.18/0.37 ? [X0 : $i > $o] : ((bl_valid @ (bl_impl @ (bl_atom @ X0) @ (bl_atom @ X0))) != $true) => ($true != (bl_valid @ (bl_impl @ (bl_atom @ sK0) @ (bl_atom @ sK0))))),
% 0.18/0.37 introduced(choice_axiom,[])).
% 0.18/0.37 thf(f114,plain,(
% 0.18/0.37 ? [X0 : $i > $o] : ((bl_valid @ (bl_impl @ (bl_atom @ X0) @ (bl_atom @ X0))) != $true)),
% 0.18/0.37 inference(ennf_transformation,[],[f49])).
% 0.18/0.37 thf(f49,plain,(
% 0.18/0.37 ~! [X0 : $i > $o] : ((bl_valid @ (bl_impl @ (bl_atom @ X0) @ (bl_atom @ X0))) = $true)),
% 0.18/0.37 inference(fool_elimination,[],[f48])).
% 0.18/0.37 thf(f48,plain,(
% 0.18/0.37 ~! [X0 : $i > $o] : (bl_valid @ (bl_impl @ (bl_atom @ X0) @ (bl_atom @ X0)))),
% 0.18/0.37 inference(rectify,[],[f42])).
% 0.18/0.37 thf(f42,negated_conjecture,(
% 0.18/0.37 ~! [X7 : $i > $o] : (bl_valid @ (bl_impl @ (bl_atom @ X7) @ (bl_atom @ X7)))),
% 0.18/0.37 inference(negated_conjecture,[],[f41])).
% 0.18/0.37 thf(f41,conjecture,(
% 0.18/0.37 ! [X7 : $i > $o] : (bl_valid @ (bl_impl @ (bl_atom @ X7) @ (bl_atom @ X7)))),
% 0.18/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_id)).
% 0.18/0.37 % SZS output end Proof for theBenchmark
% 0.18/0.37 % (19159)------------------------------
% 0.18/0.37 % (19159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (19159)Termination reason: Refutation
% 0.18/0.37
% 0.18/0.37 % (19159)Memory used [KB]: 5628
% 0.18/0.37 % (19159)Time elapsed: 0.011 s
% 0.18/0.37 % (19159)Instructions burned: 13 (million)
% 0.18/0.37 % (19159)------------------------------
% 0.18/0.37 % (19159)------------------------------
% 0.18/0.37 % (19152)Success in time 0.035 s
% 0.18/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------