TSTP Solution File: SYN390^4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN390^4 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n012.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 08:22:12 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN390^4 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.14 % 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
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 15:52:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_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/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38 % (10379)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38 % (10382)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (10380)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)
% 0.15/0.38 % (10381)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)
% 0.15/0.38 % (10383)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)
% 0.15/0.38 % (10384)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)
% 0.15/0.38 % (10385)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38 % (10386)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)
% 0.15/0.38 % (10382)Instruction limit reached!
% 0.15/0.38 % (10382)------------------------------
% 0.15/0.38 % (10382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10382)Termination reason: Unknown
% 0.15/0.38 % (10382)Termination phase: Property scanning
% 0.15/0.38 % (10383)Instruction limit reached!
% 0.15/0.38 % (10383)------------------------------
% 0.15/0.38 % (10383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10383)Termination reason: Unknown
% 0.15/0.38 % (10383)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (10383)Memory used [KB]: 1023
% 0.15/0.38 % (10383)Time elapsed: 0.003 s
% 0.15/0.38 % (10383)Instructions burned: 2 (million)
% 0.15/0.38 % (10383)------------------------------
% 0.15/0.38 % (10383)------------------------------
% 0.15/0.38
% 0.15/0.38 % (10382)Memory used [KB]: 1023
% 0.15/0.38 % (10382)Time elapsed: 0.003 s
% 0.15/0.38 % (10382)Instructions burned: 2 (million)
% 0.15/0.38 % (10382)------------------------------
% 0.15/0.38 % (10382)------------------------------
% 0.15/0.38 % (10380)Instruction limit reached!
% 0.15/0.38 % (10380)------------------------------
% 0.15/0.38 % (10380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10380)Termination reason: Unknown
% 0.15/0.38 % (10380)Termination phase: Function definition elimination
% 0.15/0.38
% 0.15/0.38 % (10380)Memory used [KB]: 1023
% 0.15/0.38 % (10380)Time elapsed: 0.003 s
% 0.15/0.38 % (10380)Instructions burned: 4 (million)
% 0.15/0.38 % (10380)------------------------------
% 0.15/0.38 % (10380)------------------------------
% 0.15/0.38 % (10386)Instruction limit reached!
% 0.15/0.38 % (10386)------------------------------
% 0.15/0.38 % (10386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10386)Termination reason: Unknown
% 0.15/0.38 % (10386)Termination phase: Function definition elimination
% 0.15/0.38
% 0.15/0.38 % (10384)Refutation not found, incomplete strategy
% 0.15/0.38 % (10384)------------------------------
% 0.15/0.38 % (10384)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (10386)Memory used [KB]: 1023
% 0.15/0.38 % (10386)Time elapsed: 0.003 s
% 0.15/0.38 % (10386)Instructions burned: 4 (million)
% 0.15/0.38 % (10386)------------------------------
% 0.15/0.38 % (10386)------------------------------
% 0.15/0.38 % (10384)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (10384)Memory used [KB]: 5500
% 0.15/0.38 % (10384)Time elapsed: 0.004 s
% 0.15/0.38 % (10384)Instructions burned: 3 (million)
% 0.15/0.38 % (10384)------------------------------
% 0.15/0.38 % (10384)------------------------------
% 0.15/0.38 % (10379)First to succeed.
% 0.15/0.38 % (10385)Also succeeded, but the first one will report.
% 0.15/0.39 % (10381)Also succeeded, but the first one will report.
% 0.15/0.39 % (10379)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% 0.15/0.39 thf(func_def_0, type, irel: $i > $i > $o).
% 0.15/0.39 thf(func_def_2, type, mnot: ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_3, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_4, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_5, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_6, type, mbox_s4: ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_7, type, iatom: ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_8, type, inot: ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_9, type, itrue: $i > $o).
% 0.15/0.39 thf(func_def_10, type, ifalse: $i > $o).
% 0.15/0.39 thf(func_def_11, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_12, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_13, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_14, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_15, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_16, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
% 0.15/0.39 thf(func_def_17, type, ivalid: ($i > $o) > $o).
% 0.15/0.39 thf(func_def_18, type, isatisfiable: ($i > $o) > $o).
% 0.15/0.39 thf(func_def_19, type, icountersatisfiable: ($i > $o) > $o).
% 0.15/0.39 thf(func_def_20, type, iinvalid: ($i > $o) > $o).
% 0.15/0.39 thf(func_def_21, type, p: $i > $o).
% 0.15/0.39 thf(f107,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f106])).
% 0.15/0.39 thf(f106,plain,(
% 0.15/0.39 ($true = $false)),
% 0.15/0.39 inference(beta_eta_normalization,[],[f105])).
% 0.15/0.39 thf(f105,plain,(
% 0.15/0.39 (((^[Y0 : $i]: ($true)) @ sK1) = $false)),
% 0.15/0.39 inference(sigma_clausification,[],[f104])).
% 0.15/0.39 thf(f104,plain,(
% 0.15/0.39 ($true != (!! @ $i @ (^[Y0 : $i]: ($true))))),
% 0.15/0.39 inference(boolean_simplification,[],[f103])).
% 0.15/0.39 thf(f103,plain,(
% 0.15/0.39 ($true != (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (p @ Y1))))))))),
% 0.15/0.39 inference(boolean_simplification,[],[f102])).
% 0.15/0.39 thf(f102,plain,(
% 0.15/0.39 ($true != (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (p @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (p @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (p @ Y1)))))))))),
% 0.15/0.39 inference(beta_eta_normalization,[],[f101])).
% 0.15/0.39 thf(f101,plain,(
% 0.15/0.39 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ Y2 @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[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)))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y3))))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[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)))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y3))))) @ Y1 @ Y0))))) @ ((^[Y0 : $i > $o]: (Y0)) @ p) @ ((^[Y0 : $i > $o]: (Y0)) @ p))))),
% 0.15/0.39 inference(definition_unfolding,[],[f71,f90,f99,f86,f86])).
% 0.15/0.39 thf(f86,plain,(
% 0.15/0.39 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.15/0.39 inference(cnf_transformation,[],[f32])).
% 0.15/0.39 thf(f32,plain,(
% 0.15/0.39 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.15/0.39 inference(fool_elimination,[],[f31])).
% 0.15/0.39 thf(f31,plain,(
% 0.15/0.39 ((^[X0 : $i > $o] : (X0)) = iatom)),
% 0.15/0.39 inference(rectify,[],[f8])).
% 0.15/0.39 thf(f8,axiom,(
% 0.15/0.39 ((^[X5 : $i > $o] : (X5)) = iatom)),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iatom)).
% 0.15/0.39 thf(f99,plain,(
% 0.15/0.39 (iequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ Y2 @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[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)))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y3))))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[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)))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((irel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ Y3))))) @ Y1 @ Y0))))))),
% 0.15/0.39 inference(definition_unfolding,[],[f78,f95,f97,f97])).
% 0.15/0.39 thf(f97,plain,(
% 0.15/0.39 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[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)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))))),
% 0.15/0.39 inference(definition_unfolding,[],[f82,f92,f81,f81])).
% 0.15/0.39 thf(f81,plain,(
% 0.15/0.39 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.15/0.39 inference(cnf_transformation,[],[f46])).
% 0.15/0.39 thf(f46,plain,(
% 0.15/0.39 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 0.15/0.39 inference(fool_elimination,[],[f45])).
% 0.15/0.39 thf(f45,plain,(
% 0.15/0.39 (mbox_s4 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : ((irel @ X1 @ X2) => (X0 @ X2)))))),
% 0.15/0.39 inference(rectify,[],[f7])).
% 0.15/0.39 thf(f7,axiom,(
% 0.15/0.39 (mbox_s4 = (^[X5 : $i > $o, X0 : $i] : (! [X1] : ((irel @ X0 @ X1) => (X5 @ X1)))))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_s4)).
% 0.15/0.39 thf(f92,plain,(
% 0.15/0.39 (mimplies = (^[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)))))),
% 0.15/0.39 inference(definition_unfolding,[],[f80,f91,f76])).
% 0.15/0.39 thf(f76,plain,(
% 0.15/0.39 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.15/0.39 inference(cnf_transformation,[],[f38])).
% 0.15/0.39 thf(f38,plain,(
% 0.15/0.39 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.15/0.39 inference(fool_elimination,[],[f37])).
% 0.15/0.39 thf(f37,plain,(
% 0.15/0.39 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.15/0.39 inference(rectify,[],[f3])).
% 0.15/0.39 thf(f3,axiom,(
% 0.15/0.39 (mnot = (^[X0 : $i > $o, X3 : $i] : (~(X0 @ X3))))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.15/0.39 thf(f91,plain,(
% 0.15/0.39 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.15/0.39 inference(cnf_transformation,[],[f58])).
% 0.15/0.39 thf(f58,plain,(
% 0.15/0.39 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.15/0.39 inference(fool_elimination,[],[f57])).
% 0.15/0.39 thf(f57,plain,(
% 0.15/0.39 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.15/0.39 inference(rectify,[],[f4])).
% 0.15/0.39 thf(f4,axiom,(
% 0.15/0.39 (mor = (^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X1 @ X3) | (X0 @ X3))))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.15/0.39 thf(f80,plain,(
% 0.15/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.15/0.39 inference(cnf_transformation,[],[f30])).
% 0.15/0.39 thf(f30,plain,(
% 0.15/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.15/0.39 inference(fool_elimination,[],[f29])).
% 0.15/0.39 thf(f29,plain,(
% 0.15/0.39 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.15/0.39 inference(rectify,[],[f6])).
% 0.15/0.39 thf(f6,axiom,(
% 0.15/0.39 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 0.15/0.39 thf(f82,plain,(
% 0.15/0.39 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.15/0.39 inference(cnf_transformation,[],[f36])).
% 0.15/0.39 thf(f36,plain,(
% 0.15/0.39 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 0.15/0.39 inference(fool_elimination,[],[f35])).
% 0.15/0.39 thf(f35,plain,(
% 0.15/0.39 ((^[X0 : $i > $o, X1 : $i > $o] : (mimplies @ (mbox_s4 @ X0) @ (mbox_s4 @ X1))) = iimplies)),
% 0.15/0.39 inference(rectify,[],[f14])).
% 0.15/0.39 thf(f14,axiom,(
% 0.15/0.39 ((^[X5 : $i > $o, X7 : $i > $o] : (mimplies @ (mbox_s4 @ X5) @ (mbox_s4 @ X7))) = iimplies)),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iimplies)).
% 0.15/0.39 thf(f95,plain,(
% 0.15/0.39 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))))),
% 0.15/0.39 inference(definition_unfolding,[],[f77,f75])).
% 0.15/0.39 thf(f75,plain,(
% 0.15/0.39 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.15/0.39 inference(cnf_transformation,[],[f28])).
% 0.15/0.39 thf(f28,plain,(
% 0.15/0.39 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.15/0.39 inference(fool_elimination,[],[f27])).
% 0.15/0.39 thf(f27,plain,(
% 0.15/0.39 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 0.15/0.39 inference(rectify,[],[f5])).
% 0.15/0.39 thf(f5,axiom,(
% 0.15/0.39 ((^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X1 @ X3) & (X0 @ X3))) = mand)),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
% 0.15/0.39 thf(f77,plain,(
% 0.15/0.39 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 0.15/0.39 inference(cnf_transformation,[],[f44])).
% 0.15/0.39 thf(f44,plain,(
% 0.15/0.39 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 0.15/0.39 inference(fool_elimination,[],[f43])).
% 0.15/0.39 thf(f43,plain,(
% 0.15/0.39 (iand = (^[X0 : $i > $o, X1 : $i > $o] : (mand @ X0 @ X1)))),
% 0.15/0.39 inference(rectify,[],[f12])).
% 0.15/0.39 thf(f12,axiom,(
% 0.15/0.39 (iand = (^[X5 : $i > $o, X7 : $i > $o] : (mand @ X5 @ X7)))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iand)).
% 0.15/0.39 thf(f78,plain,(
% 0.15/0.39 (iequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (iand @ (iimplies @ Y0 @ Y1) @ (iimplies @ Y1 @ Y0))))))),
% 0.15/0.39 inference(cnf_transformation,[],[f52])).
% 0.15/0.39 thf(f52,plain,(
% 0.15/0.39 (iequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (iand @ (iimplies @ Y0 @ Y1) @ (iimplies @ Y1 @ Y0))))))),
% 0.15/0.39 inference(fool_elimination,[],[f51])).
% 0.15/0.39 thf(f51,plain,(
% 0.15/0.39 (iequiv = (^[X0 : $i > $o, X1 : $i > $o] : (iand @ (iimplies @ X0 @ X1) @ (iimplies @ X1 @ X0))))),
% 0.15/0.39 inference(rectify,[],[f16])).
% 0.15/0.39 thf(f16,axiom,(
% 0.15/0.39 (iequiv = (^[X5 : $i > $o, X7 : $i > $o] : (iand @ (iimplies @ X5 @ X7) @ (iimplies @ X7 @ X5))))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iequiv)).
% 0.15/0.39 thf(f90,plain,(
% 0.15/0.39 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.15/0.39 inference(cnf_transformation,[],[f64])).
% 0.15/0.39 thf(f64,plain,(
% 0.15/0.39 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.15/0.39 inference(fool_elimination,[],[f63])).
% 0.15/0.39 thf(f63,plain,(
% 0.15/0.39 (ivalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.15/0.39 inference(rectify,[],[f18])).
% 0.15/0.39 thf(f18,axiom,(
% 0.15/0.39 (ivalid = (^[X8 : $i > $o] : (! [X6] : (X8 @ X6))))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ivalid)).
% 0.15/0.39 thf(f71,plain,(
% 0.15/0.39 ((ivalid @ (iequiv @ (iatom @ p) @ (iatom @ p))) != $true)),
% 0.15/0.39 inference(cnf_transformation,[],[f67])).
% 0.15/0.39 thf(f67,plain,(
% 0.15/0.39 ((ivalid @ (iequiv @ (iatom @ p) @ (iatom @ p))) != $true)),
% 0.15/0.39 inference(flattening,[],[f48])).
% 0.15/0.39 thf(f48,plain,(
% 0.15/0.39 ~((ivalid @ (iequiv @ (iatom @ p) @ (iatom @ p))) = $true)),
% 0.15/0.39 inference(fool_elimination,[],[f47])).
% 0.15/0.39 thf(f47,plain,(
% 0.15/0.39 ~(ivalid @ (iequiv @ (iatom @ p) @ (iatom @ p)))),
% 0.15/0.39 inference(rectify,[],[f23])).
% 0.15/0.39 thf(f23,negated_conjecture,(
% 0.15/0.39 ~(ivalid @ (iequiv @ (iatom @ p) @ (iatom @ p)))),
% 0.15/0.39 inference(negated_conjecture,[],[f22])).
% 0.15/0.39 thf(f22,conjecture,(
% 0.15/0.39 (ivalid @ (iequiv @ (iatom @ p) @ (iatom @ p)))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel11)).
% 0.15/0.39 % SZS output end Proof for theBenchmark
% 0.15/0.39 % (10379)------------------------------
% 0.15/0.39 % (10379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (10379)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (10379)Memory used [KB]: 5500
% 0.15/0.39 % (10379)Time elapsed: 0.006 s
% 0.15/0.39 % (10379)Instructions burned: 6 (million)
% 0.15/0.39 % (10379)------------------------------
% 0.15/0.39 % (10379)------------------------------
% 0.15/0.39 % (10378)Success in time 0.007 s
% 0.15/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------