TSTP Solution File: SYO464^6 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO464^6 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 09:04:58 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO464^6 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 10:39:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 % (12696)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.38 % (12698)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)
% 0.14/0.38 % (12697)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)
% 0.14/0.38 % (12699)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (12701)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)
% 0.14/0.38 % (12702)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (12699)Instruction limit reached!
% 0.14/0.38 % (12699)------------------------------
% 0.14/0.38 % (12699)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (12699)Termination reason: Unknown
% 0.14/0.38 % (12699)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (12699)Memory used [KB]: 1023
% 0.14/0.38 % (12699)Time elapsed: 0.003 s
% 0.14/0.38 % (12699)Instructions burned: 2 (million)
% 0.14/0.38 % (12699)------------------------------
% 0.14/0.38 % (12699)------------------------------
% 0.14/0.38 % (12697)Instruction limit reached!
% 0.14/0.38 % (12697)------------------------------
% 0.14/0.38 % (12697)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (12697)Termination reason: Unknown
% 0.14/0.38 % (12697)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (12697)Memory used [KB]: 1023
% 0.14/0.38 % (12697)Time elapsed: 0.004 s
% 0.14/0.38 % (12697)Instructions burned: 4 (million)
% 0.14/0.38 % (12697)------------------------------
% 0.14/0.38 % (12697)------------------------------
% 0.14/0.38 % (12700)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)
% 0.14/0.38 % (12700)Instruction limit reached!
% 0.14/0.38 % (12700)------------------------------
% 0.14/0.38 % (12700)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (12700)Termination reason: Unknown
% 0.14/0.38 % (12700)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (12700)Memory used [KB]: 1023
% 0.14/0.38 % (12700)Time elapsed: 0.004 s
% 0.14/0.38 % (12700)Instructions burned: 3 (million)
% 0.14/0.38 % (12700)------------------------------
% 0.14/0.38 % (12700)------------------------------
% 0.14/0.38 % (12701)Refutation not found, incomplete strategy
% 0.14/0.38 % (12701)------------------------------
% 0.14/0.38 % (12701)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (12701)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (12701)Memory used [KB]: 5628
% 0.14/0.38 % (12701)Time elapsed: 0.009 s
% 0.14/0.38 % (12701)Instructions burned: 12 (million)
% 0.14/0.38 % (12701)------------------------------
% 0.14/0.38 % (12701)------------------------------
% 0.14/0.39 % (12702)Instruction limit reached!
% 0.14/0.39 % (12702)------------------------------
% 0.14/0.39 % (12702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (12702)Termination reason: Unknown
% 0.14/0.39 % (12702)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (12702)Memory used [KB]: 5756
% 0.14/0.39 % (12702)Time elapsed: 0.013 s
% 0.14/0.39 % (12702)Instructions burned: 19 (million)
% 0.14/0.39 % (12702)------------------------------
% 0.14/0.39 % (12702)------------------------------
% 0.14/0.39 % (12703)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)
% 0.14/0.39 % (12696)First to succeed.
% 0.14/0.39 % (12703)Instruction limit reached!
% 0.14/0.39 % (12703)------------------------------
% 0.14/0.39 % (12703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (12703)Termination reason: Unknown
% 0.14/0.39 % (12703)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (12703)Memory used [KB]: 1023
% 0.14/0.39 % (12703)Time elapsed: 0.004 s
% 0.14/0.39 % (12703)Instructions burned: 4 (million)
% 0.14/0.39 % (12703)------------------------------
% 0.14/0.39 % (12703)------------------------------
% 0.14/0.39 % (12705)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.39 % (12704)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.39 % (12698)Instruction limit reached!
% 0.14/0.39 % (12698)------------------------------
% 0.14/0.39 % (12698)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (12698)Termination reason: Unknown
% 0.14/0.39 % (12698)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (12698)Memory used [KB]: 5756
% 0.14/0.39 % (12698)Time elapsed: 0.018 s
% 0.14/0.39 % (12698)Instructions burned: 27 (million)
% 0.14/0.39 % (12698)------------------------------
% 0.14/0.39 % (12698)------------------------------
% 0.14/0.39 % (12696)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% 0.14/0.39 thf(type_def_5, type, mu: $tType).
% 0.14/0.39 thf(func_def_0, type, mu: $tType).
% 0.14/0.39 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.14/0.39 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_15, type, mtrue: $i > $o).
% 0.14/0.39 thf(func_def_16, type, mfalse: $i > $o).
% 0.14/0.39 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.14/0.39 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.14/0.39 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.14/0.39 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.14/0.39 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.14/0.39 thf(func_def_33, type, rel_s5: $i > $i > $o).
% 0.14/0.39 thf(func_def_34, type, mbox_s5: ($i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_35, type, mdia_s5: ($i > $o) > $i > $o).
% 0.14/0.39 thf(func_def_36, type, p: $i > $o).
% 0.14/0.39 thf(func_def_37, type, q: $i > $o).
% 0.14/0.39 thf(f313,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f311])).
% 0.14/0.39 thf(f311,plain,(
% 0.14/0.39 ($false = $true)),
% 0.14/0.39 inference(superposition,[],[f284,f235])).
% 0.14/0.39 thf(f235,plain,(
% 0.14/0.39 ((q @ sK2) = $true)),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f231])).
% 0.14/0.39 thf(f231,plain,(
% 0.14/0.39 ($false = $true) | ((q @ sK2) = $true)),
% 0.14/0.39 inference(superposition,[],[f185,f180])).
% 0.14/0.39 thf(f180,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (($false = (rel_s5 @ sK1 @ X1)) | ((q @ X1) = $true)) )),
% 0.14/0.39 inference(not_proxy_clausification,[],[f177])).
% 0.14/0.39 thf(f177,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (($false = (rel_s5 @ sK1 @ X1)) | ((~ (q @ X1)) = $false)) )),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f176])).
% 0.14/0.39 thf(f176,plain,(
% 0.14/0.39 ( ! [X1 : $i] : ((((~ (p @ X1)) | (~ (q @ X1))) = $false) | ($false = (rel_s5 @ sK1 @ X1))) )),
% 0.14/0.39 inference(not_proxy_clausification,[],[f175])).
% 0.14/0.39 thf(f175,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (((~ (rel_s5 @ sK1 @ X1)) = $true) | (((~ (p @ X1)) | (~ (q @ X1))) = $false)) )),
% 0.14/0.39 inference(not_proxy_clausification,[],[f174])).
% 0.14/0.39 thf(f174,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (($true = (~ ((~ (p @ X1)) | (~ (q @ X1))))) | ((~ (rel_s5 @ sK1 @ X1)) = $true)) )),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f173])).
% 0.14/0.39 thf(f173,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (($true = ((~ (rel_s5 @ sK1 @ X1)) | (~ ((~ (p @ X1)) | (~ (q @ X1))))))) )),
% 0.14/0.39 inference(beta_eta_normalization,[],[f172])).
% 0.14/0.39 thf(f172,plain,(
% 0.14/0.39 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ (p @ Y0)) | (~ (q @ Y0)))))) @ X1) = $true)) )),
% 0.14/0.39 inference(pi_clausification,[],[f171])).
% 0.14/0.39 thf(f171,plain,(
% 0.14/0.39 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ (p @ Y0)) | (~ (q @ Y0))))))) = $true)),
% 0.14/0.39 inference(not_proxy_clausification,[],[f170])).
% 0.14/0.39 thf(f170,plain,(
% 0.14/0.39 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ (p @ Y0)) | (~ (q @ Y0)))))))))),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f168])).
% 0.14/0.39 thf(f168,plain,(
% 0.14/0.39 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (~ ((~ (p @ Y0)) | (~ (q @ Y0)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (~ (p @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (~ (q @ Y2)))))))))))))))),
% 0.14/0.39 inference(beta_eta_normalization,[],[f167])).
% 0.14/0.39 thf(f167,plain,(
% 0.14/0.39 (((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ ((~ (p @ Y1)) | (~ (q @ Y1)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s5 @ Y2 @ Y3)) | (~ (p @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s5 @ Y2 @ Y3)) | (~ (q @ Y3))))))))))))))) @ sK1) = $false)),
% 0.14/0.39 inference(sigma_clausification,[],[f166])).
% 0.14/0.39 thf(f166,plain,(
% 0.14/0.39 ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ ((~ (p @ Y1)) | (~ (q @ Y1)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s5 @ Y2 @ Y3)) | (~ (p @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s5 @ Y2 @ Y3)) | (~ (q @ Y3)))))))))))))))) != $true)),
% 0.14/0.39 inference(boolean_simplification,[],[f165])).
% 0.14/0.39 thf(f165,plain,(
% 0.14/0.39 ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ ((~ (p @ Y1)) | (~ (q @ Y1)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | ((~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s5 @ Y2 @ Y3)) | (~ (p @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s5 @ Y2 @ Y3)) | (~ (q @ Y3)))))))))))))))) != $true)),
% 0.14/0.39 inference(beta_eta_normalization,[],[f158])).
% 0.14/0.39 thf(f158,plain,(
% 0.14/0.39 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ p @ q)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[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)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s5 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ Y0)))) @ p) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s5 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ Y0)))) @ q)))))))),
% 0.14/0.39 inference(definition_unfolding,[],[f115,f136,f149,f114,f148,f114,f114,f149,f157,f157])).
% 0.14/0.39 thf(f157,plain,(
% 0.14/0.39 (mdia_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s5 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ Y0)))))),
% 0.14/0.39 inference(definition_unfolding,[],[f133,f139,f114,f139])).
% 0.14/0.39 thf(f139,plain,(
% 0.14/0.39 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.39 inference(cnf_transformation,[],[f80])).
% 0.14/0.39 thf(f80,plain,(
% 0.14/0.39 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.39 inference(fool_elimination,[],[f79])).
% 0.14/0.39 thf(f79,plain,(
% 0.14/0.39 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.14/0.39 inference(rectify,[],[f3])).
% 0.14/0.39 thf(f3,axiom,(
% 0.14/0.39 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.14/0.39 thf(f133,plain,(
% 0.14/0.39 (mdia_s5 = (^[Y0 : $i > $o]: (mnot @ (mbox_s5 @ (mnot @ Y0)))))),
% 0.14/0.39 inference(cnf_transformation,[],[f78])).
% 0.14/0.39 thf(f78,plain,(
% 0.14/0.39 (mdia_s5 = (^[Y0 : $i > $o]: (mnot @ (mbox_s5 @ (mnot @ Y0)))))),
% 0.14/0.39 inference(fool_elimination,[],[f77])).
% 0.14/0.39 thf(f77,plain,(
% 0.14/0.39 ((^[X0 : $i > $o] : (mnot @ (mbox_s5 @ (mnot @ X0)))) = mdia_s5)),
% 0.14/0.39 inference(rectify,[],[f33])).
% 0.14/0.39 thf(f33,axiom,(
% 0.14/0.39 ((^[X3 : $i > $o] : (mnot @ (mbox_s5 @ (mnot @ X3)))) = mdia_s5)),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_s5)).
% 0.14/0.39 thf(f148,plain,(
% 0.14/0.39 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 0.14/0.39 inference(definition_unfolding,[],[f121,f139,f140,f139,f139])).
% 0.14/0.39 thf(f140,plain,(
% 0.14/0.39 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.14/0.39 inference(cnf_transformation,[],[f47])).
% 0.14/0.39 thf(f47,plain,(
% 0.14/0.39 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.14/0.39 inference(fool_elimination,[],[f46])).
% 0.14/0.39 thf(f46,plain,(
% 0.14/0.39 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.14/0.39 inference(rectify,[],[f4])).
% 0.14/0.39 thf(f4,axiom,(
% 0.14/0.39 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.14/0.39 thf(f121,plain,(
% 0.14/0.39 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.14/0.39 inference(cnf_transformation,[],[f58])).
% 0.14/0.39 thf(f58,plain,(
% 0.14/0.39 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.14/0.39 inference(fool_elimination,[],[f57])).
% 0.14/0.39 thf(f57,plain,(
% 0.14/0.39 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)),
% 0.14/0.39 inference(rectify,[],[f5])).
% 0.14/0.39 thf(f5,axiom,(
% 0.14/0.39 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 0.14/0.39 thf(f114,plain,(
% 0.14/0.39 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.14/0.39 inference(cnf_transformation,[],[f98])).
% 0.14/0.39 thf(f98,plain,(
% 0.14/0.39 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.14/0.39 inference(fool_elimination,[],[f97])).
% 0.14/0.39 thf(f97,plain,(
% 0.14/0.39 (mbox_s5 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : ((X0 @ X2) | ~(rel_s5 @ X1 @ X2)))))),
% 0.14/0.39 inference(rectify,[],[f32])).
% 0.14/0.39 thf(f32,axiom,(
% 0.14/0.39 (mbox_s5 = (^[X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(rel_s5 @ X2 @ X7)))))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s5)).
% 0.14/0.39 thf(f149,plain,(
% 0.14/0.39 (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)))))),
% 0.14/0.39 inference(definition_unfolding,[],[f132,f140,f139])).
% 0.14/0.39 thf(f132,plain,(
% 0.14/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.39 inference(cnf_transformation,[],[f70])).
% 0.14/0.39 thf(f70,plain,(
% 0.14/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.39 inference(fool_elimination,[],[f69])).
% 0.14/0.39 thf(f69,plain,(
% 0.14/0.39 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.14/0.39 inference(rectify,[],[f6])).
% 0.14/0.39 thf(f6,axiom,(
% 0.14/0.39 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.14/0.39 thf(f136,plain,(
% 0.14/0.39 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.39 inference(cnf_transformation,[],[f54])).
% 0.14/0.39 thf(f54,plain,(
% 0.14/0.39 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.39 inference(fool_elimination,[],[f53])).
% 0.14/0.39 thf(f53,plain,(
% 0.14/0.39 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.14/0.39 inference(rectify,[],[f28])).
% 0.14/0.39 thf(f28,axiom,(
% 0.14/0.39 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.14/0.39 thf(f115,plain,(
% 0.14/0.39 ((mvalid @ (mimplies @ (mbox_s5 @ (mand @ p @ q)) @ (mbox_s5 @ (mbox_s5 @ (mimplies @ (mdia_s5 @ p) @ (mdia_s5 @ q)))))) != $true)),
% 0.14/0.39 inference(cnf_transformation,[],[f110])).
% 0.14/0.39 thf(f110,plain,(
% 0.14/0.39 ((mvalid @ (mimplies @ (mbox_s5 @ (mand @ p @ q)) @ (mbox_s5 @ (mbox_s5 @ (mimplies @ (mdia_s5 @ p) @ (mdia_s5 @ q)))))) != $true)),
% 0.14/0.39 inference(flattening,[],[f92])).
% 0.14/0.39 thf(f92,plain,(
% 0.14/0.39 ~((mvalid @ (mimplies @ (mbox_s5 @ (mand @ p @ q)) @ (mbox_s5 @ (mbox_s5 @ (mimplies @ (mdia_s5 @ p) @ (mdia_s5 @ q)))))) = $true)),
% 0.14/0.39 inference(fool_elimination,[],[f91])).
% 0.14/0.39 thf(f91,plain,(
% 0.14/0.39 ~(mvalid @ (mimplies @ (mbox_s5 @ (mand @ p @ q)) @ (mbox_s5 @ (mbox_s5 @ (mimplies @ (mdia_s5 @ p) @ (mdia_s5 @ q))))))),
% 0.14/0.39 inference(rectify,[],[f38])).
% 0.14/0.39 thf(f38,negated_conjecture,(
% 0.14/0.39 ~(mvalid @ (mimplies @ (mbox_s5 @ (mand @ p @ q)) @ (mbox_s5 @ (mbox_s5 @ (mimplies @ (mdia_s5 @ p) @ (mdia_s5 @ q))))))),
% 0.14/0.39 inference(negated_conjecture,[],[f37])).
% 0.14/0.39 thf(f37,conjecture,(
% 0.14/0.39 (mvalid @ (mimplies @ (mbox_s5 @ (mand @ p @ q)) @ (mbox_s5 @ (mbox_s5 @ (mimplies @ (mdia_s5 @ p) @ (mdia_s5 @ q))))))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove)).
% 0.14/0.39 thf(f185,plain,(
% 0.14/0.39 ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.14/0.39 inference(not_proxy_clausification,[],[f184])).
% 0.14/0.39 thf(f184,plain,(
% 0.14/0.39 ((~ (rel_s5 @ sK1 @ sK2)) = $false)),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f182])).
% 0.14/0.39 thf(f182,plain,(
% 0.14/0.39 (((~ (rel_s5 @ sK1 @ sK2)) | (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ (p @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ (q @ Y1))))))))))) = $false)),
% 0.14/0.39 inference(beta_eta_normalization,[],[f181])).
% 0.14/0.39 thf(f181,plain,(
% 0.14/0.39 ($false = ((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (~ (p @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (~ (q @ Y2)))))))))))) @ sK2))),
% 0.14/0.39 inference(sigma_clausification,[],[f169])).
% 0.14/0.39 thf(f169,plain,(
% 0.14/0.39 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (~ (p @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (~ (q @ Y2))))))))))))) = $false)),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f168])).
% 0.14/0.39 thf(f284,plain,(
% 0.14/0.39 ($false = (q @ sK2))),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f276])).
% 0.14/0.39 thf(f276,plain,(
% 0.14/0.39 ($false = (q @ sK2)) | ($false = $true)),
% 0.14/0.39 inference(superposition,[],[f190,f268])).
% 0.14/0.39 thf(f268,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (($false = (rel_s5 @ X0 @ sK3)) | ((q @ X0) = $false)) )),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f262])).
% 0.14/0.39 thf(f262,plain,(
% 0.14/0.39 ( ! [X0 : $i] : (($false = $true) | ($false = (rel_s5 @ X0 @ sK3)) | ((q @ X0) = $false)) )),
% 0.14/0.39 inference(superposition,[],[f204,f219])).
% 0.14/0.39 thf(f219,plain,(
% 0.14/0.39 ( ! [X2 : $i,X1 : $i] : (($true = (rel_s5 @ X1 @ X2)) | ($false = (rel_s5 @ X2 @ X1))) )),
% 0.14/0.39 inference(binary_proxy_clausification,[],[f218])).
% 0.14/0.39 thf(f218,plain,(
% 0.14/0.39 ( ! [X2 : $i,X1 : $i] : ((((rel_s5 @ X2 @ X1) => (rel_s5 @ X1 @ X2)) = $true)) )),
% 0.14/0.39 inference(beta_eta_normalization,[],[f217])).
% 0.14/0.39 thf(f217,plain,(
% 0.14/0.39 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((rel_s5 @ Y0 @ X1) => (rel_s5 @ X1 @ Y0))) @ X2))) )),
% 0.14/0.39 inference(pi_clausification,[],[f216])).
% 0.14/0.39 thf(f216,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((rel_s5 @ Y0 @ X1) => (rel_s5 @ X1 @ Y0)))) = $true)) )),
% 0.14/0.39 inference(beta_eta_normalization,[],[f215])).
% 0.14/0.39 thf(f215,plain,(
% 0.14/0.39 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel_s5 @ Y1 @ Y0) => (rel_s5 @ Y0 @ Y1))))) @ X1))) )),
% 0.14/0.39 inference(pi_clausification,[],[f214])).
% 0.14/0.39 thf(f214,plain,(
% 0.14/0.39 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel_s5 @ Y1 @ Y0) => (rel_s5 @ Y0 @ Y1)))))))),
% 0.14/0.39 inference(beta_eta_normalization,[],[f160])).
% 0.14/0.39 thf(f160,plain,(
% 0.14/0.39 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ rel_s5) = $true)),
% 0.14/0.40 inference(definition_unfolding,[],[f129,f128])).
% 0.14/0.40 thf(f128,plain,(
% 0.14/0.40 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.14/0.40 inference(cnf_transformation,[],[f104])).
% 0.14/0.40 thf(f104,plain,(
% 0.14/0.40 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.14/0.40 inference(fool_elimination,[],[f103])).
% 0.14/0.40 thf(f103,plain,(
% 0.14/0.40 (msymmetric = (^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))))),
% 0.14/0.40 inference(rectify,[],[f19])).
% 0.14/0.40 thf(f19,axiom,(
% 0.14/0.40 (msymmetric = (^[X6 : $i > $i > $o] : (! [X8,X9] : ((X6 @ X8 @ X9) => (X6 @ X9 @ X8)))))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric)).
% 0.14/0.40 thf(f129,plain,(
% 0.14/0.40 ((msymmetric @ rel_s5) = $true)),
% 0.14/0.40 inference(cnf_transformation,[],[f45])).
% 0.14/0.40 thf(f45,plain,(
% 0.14/0.40 ((msymmetric @ rel_s5) = $true)),
% 0.14/0.40 inference(fool_elimination,[],[f44])).
% 0.14/0.40 thf(f44,plain,(
% 0.14/0.40 (msymmetric @ rel_s5)),
% 0.14/0.40 inference(rectify,[],[f36])).
% 0.14/0.40 thf(f36,axiom,(
% 0.14/0.40 (msymmetric @ rel_s5)),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3)).
% 0.14/0.40 thf(f204,plain,(
% 0.14/0.40 ( ! [X1 : $i] : (($false = (rel_s5 @ sK3 @ X1)) | ($false = (q @ X1))) )),
% 0.14/0.40 inference(not_proxy_clausification,[],[f203])).
% 0.14/0.40 thf(f203,plain,(
% 0.14/0.40 ( ! [X1 : $i] : (($false = (q @ X1)) | ($true = (~ (rel_s5 @ sK3 @ X1)))) )),
% 0.14/0.40 inference(not_proxy_clausification,[],[f202])).
% 0.14/0.40 thf(f202,plain,(
% 0.14/0.40 ( ! [X1 : $i] : (((~ (q @ X1)) = $true) | ($true = (~ (rel_s5 @ sK3 @ X1)))) )),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f201])).
% 0.14/0.40 thf(f201,plain,(
% 0.14/0.40 ( ! [X1 : $i] : ((((~ (rel_s5 @ sK3 @ X1)) | (~ (q @ X1))) = $true)) )),
% 0.14/0.40 inference(beta_eta_normalization,[],[f200])).
% 0.14/0.40 thf(f200,plain,(
% 0.14/0.40 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s5 @ sK3 @ Y0)) | (~ (q @ Y0)))) @ X1) = $true)) )),
% 0.14/0.40 inference(pi_clausification,[],[f199])).
% 0.14/0.40 thf(f199,plain,(
% 0.14/0.40 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK3 @ Y0)) | (~ (q @ Y0))))))),
% 0.14/0.40 inference(not_proxy_clausification,[],[f191])).
% 0.14/0.40 thf(f191,plain,(
% 0.14/0.40 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK3 @ Y0)) | (~ (q @ Y0)))))))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f188])).
% 0.14/0.40 thf(f188,plain,(
% 0.14/0.40 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK3 @ Y0)) | (~ (p @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK3 @ Y0)) | (~ (q @ Y0))))))))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f187])).
% 0.14/0.40 thf(f187,plain,(
% 0.14/0.40 ($false = ((~ (rel_s5 @ sK2 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK3 @ Y0)) | (~ (p @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK3 @ Y0)) | (~ (q @ Y0)))))))))),
% 0.14/0.40 inference(beta_eta_normalization,[],[f186])).
% 0.14/0.40 thf(f186,plain,(
% 0.14/0.40 ($false = ((^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ (p @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ (q @ Y1))))))))) @ sK3))),
% 0.14/0.40 inference(sigma_clausification,[],[f183])).
% 0.14/0.40 thf(f183,plain,(
% 0.14/0.40 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK2 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ (p @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ Y0 @ Y1)) | (~ (q @ Y1)))))))))))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f182])).
% 0.14/0.40 thf(f190,plain,(
% 0.14/0.40 ((rel_s5 @ sK2 @ sK3) = $true)),
% 0.14/0.40 inference(not_proxy_clausification,[],[f189])).
% 0.14/0.40 thf(f189,plain,(
% 0.14/0.40 ($false = (~ (rel_s5 @ sK2 @ sK3)))),
% 0.14/0.40 inference(binary_proxy_clausification,[],[f187])).
% 0.14/0.40 % SZS output end Proof for theBenchmark
% 0.14/0.40 % (12696)------------------------------
% 0.14/0.40 % (12696)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (12696)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (12696)Memory used [KB]: 5756
% 0.14/0.40 % (12696)Time elapsed: 0.019 s
% 0.14/0.40 % (12696)Instructions burned: 21 (million)
% 0.14/0.40 % (12696)------------------------------
% 0.14/0.40 % (12696)------------------------------
% 0.14/0.40 % (12695)Success in time 0.04 s
% 0.14/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------