TSTP Solution File: SYO052^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO052^2 : 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 : n007.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 09:02:30 EDT 2024
% Result : Theorem 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO052^2 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.15 % 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
% 0.15/0.36 % Computer : n007.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 10:24:53 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
% 0.22/0.38 % (11494)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)
% 0.22/0.38 % (11495)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (11493)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)
% 0.22/0.38 % (11496)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)
% 0.22/0.38 % (11492)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.38 % (11499)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)
% 0.22/0.38 % (11497)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)
% 0.22/0.38 % (11498)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38 % (11496)Instruction limit reached!
% 0.22/0.38 % (11496)------------------------------
% 0.22/0.38 % (11496)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (11496)Termination reason: Unknown
% 0.22/0.38 % (11496)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (11496)Memory used [KB]: 1023
% 0.22/0.38 % (11496)Time elapsed: 0.003 s
% 0.22/0.38 % (11496)Instructions burned: 2 (million)
% 0.22/0.38 % (11496)------------------------------
% 0.22/0.38 % (11496)------------------------------
% 0.22/0.39 % (11495)Instruction limit reached!
% 0.22/0.39 % (11495)------------------------------
% 0.22/0.39 % (11495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (11495)Termination reason: Unknown
% 0.22/0.39 % (11495)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (11495)Memory used [KB]: 1023
% 0.22/0.39 % (11495)Time elapsed: 0.004 s
% 0.22/0.39 % (11495)Instructions burned: 3 (million)
% 0.22/0.39 % (11495)------------------------------
% 0.22/0.39 % (11495)------------------------------
% 0.22/0.39 % (11499)Instruction limit reached!
% 0.22/0.39 % (11499)------------------------------
% 0.22/0.39 % (11499)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (11499)Termination reason: Unknown
% 0.22/0.39 % (11499)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (11499)Memory used [KB]: 1023
% 0.22/0.39 % (11499)Time elapsed: 0.003 s
% 0.22/0.39 % (11499)Instructions burned: 4 (million)
% 0.22/0.39 % (11499)------------------------------
% 0.22/0.39 % (11499)------------------------------
% 0.22/0.39 % (11493)Instruction limit reached!
% 0.22/0.39 % (11493)------------------------------
% 0.22/0.39 % (11493)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (11493)Termination reason: Unknown
% 0.22/0.39 % (11493)Termination phase: Property scanning
% 0.22/0.39
% 0.22/0.39 % (11493)Memory used [KB]: 1023
% 0.22/0.39 % (11493)Time elapsed: 0.004 s
% 0.22/0.39 % (11493)Instructions burned: 5 (million)
% 0.22/0.39 % (11493)------------------------------
% 0.22/0.39 % (11493)------------------------------
% 0.22/0.39 % (11498)Instruction limit reached!
% 0.22/0.39 % (11498)------------------------------
% 0.22/0.39 % (11498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (11498)Termination reason: Unknown
% 0.22/0.39 % (11498)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (11498)Memory used [KB]: 5628
% 0.22/0.39 % (11498)Time elapsed: 0.012 s
% 0.22/0.39 % (11498)Instructions burned: 18 (million)
% 0.22/0.39 % (11498)------------------------------
% 0.22/0.39 % (11498)------------------------------
% 0.22/0.40 % (11492)First to succeed.
% 0.22/0.40 % (11494)Instruction limit reached!
% 0.22/0.40 % (11494)------------------------------
% 0.22/0.40 % (11494)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (11494)Termination reason: Unknown
% 0.22/0.40 % (11494)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (11494)Memory used [KB]: 5756
% 0.22/0.40 % (11494)Time elapsed: 0.017 s
% 0.22/0.40 % (11494)Instructions burned: 27 (million)
% 0.22/0.40 % (11494)------------------------------
% 0.22/0.40 % (11494)------------------------------
% 0.22/0.40 % (11500)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)
% 0.22/0.40 % (11501)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)
% 0.22/0.40 % (11497)Also succeeded, but the first one will report.
% 0.22/0.40 % (11503)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.40 % (11492)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% 0.22/0.40 thf(type_def_5, type, mu: $tType).
% 0.22/0.40 thf(func_def_0, type, mu: $tType).
% 0.22/0.40 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.40 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.40 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.40 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.40 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.40 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.40 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.40 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.40 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.40 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.40 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.40 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.40 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.40 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.40 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.40 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.40 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.40 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.40 thf(func_def_33, type, r: $i > $i > $o).
% 0.22/0.40 thf(func_def_34, type, a: $i > $o).
% 0.22/0.40 thf(func_def_35, type, b: $i > $o).
% 0.22/0.40 thf(func_def_52, type, sK1: $i > ($i > $i > $o) > ($i > $o) > $i).
% 0.22/0.40 thf(func_def_53, type, sK2: ($i > $o) > $i > ($i > $i > $o) > $i).
% 0.22/0.40 thf(func_def_54, type, sK3: ($i > $o) > $i > ($i > $i > $o) > ($i > $o) > $i).
% 0.22/0.40 thf(func_def_55, type, sK4: ($i > $o) > $i > ($i > $i > $o) > ($i > $o) > $i).
% 0.22/0.40 thf(func_def_56, type, sK5: ($i > $o) > $i > ($i > $i > $o) > ($i > $o) > $i).
% 0.22/0.40 thf(func_def_57, type, ph6: !>[X0: $tType]:(X0)).
% 0.22/0.40 thf(f261,plain,(
% 0.22/0.40 $false),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f260])).
% 0.22/0.40 thf(f260,plain,(
% 0.22/0.40 ($true = $false)),
% 0.22/0.40 inference(beta_eta_normalization,[],[f250])).
% 0.22/0.40 thf(f250,plain,(
% 0.22/0.40 ( ! [X0 : $i] : (($true = ((^[Y0 : $i]: ($false)) @ (sK2 @ (^[Y0 : $i]: ($false)) @ X0 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($false)))))))) )),
% 0.22/0.40 inference(primitive_instantiation,[],[f245])).
% 0.22/0.40 thf(f245,plain,(
% 0.22/0.40 ( ! [X0 : $i,X1 : $i > $o] : (($true = (X1 @ (sK2 @ X1 @ X0 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($false)))))))) )),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f230])).
% 0.22/0.40 thf(f230,plain,(
% 0.22/0.40 ( ! [X0 : $i,X1 : $i > $o] : (($false != $false) | ($true = (X1 @ (sK2 @ X1 @ X0 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($false)))))))) )),
% 0.22/0.40 inference(superposition,[],[f34,f225])).
% 0.22/0.40 thf(f225,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X1 : $i] : (($false = (X2 @ (sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($false)))) @ X2))) | ((X3 @ (sK2 @ X3 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($false)))))) = $true)) )),
% 0.22/0.40 inference(trivial_inequality_removal,[],[f224])).
% 0.22/0.40 thf(f224,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X1 : $i] : (($true = $false) | ((X3 @ (sK2 @ X3 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($false)))))) = $true) | ($false = (X2 @ (sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($false)))) @ X2)))) )),
% 0.22/0.40 inference(beta_eta_normalization,[],[f203])).
% 0.22/0.40 thf(f203,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X1 : $i] : (($false = (X2 @ (sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($false)))) @ X2))) | ((X3 @ (sK2 @ X3 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($false)))))) = $true) | ($true = ((^[Y0 : $i]: ((^[Y1 : $i]: ($false)))) @ X1 @ (sK3 @ X3 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ($false)))) @ X2)))) )),
% 0.22/0.40 inference(primitive_instantiation,[],[f176])).
% 0.22/0.40 thf(f176,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (((X0 @ X1 @ (sK3 @ X3 @ X1 @ X0 @ X2)) = $true) | ($true = (X3 @ (sK2 @ X3 @ X1 @ X0))) | ($false = (X2 @ (sK1 @ X1 @ X0 @ X2)))) )),
% 0.22/0.40 inference(not_proxy_clausification,[],[f175])).
% 0.22/0.40 thf(f175,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (($false = (X2 @ (sK1 @ X1 @ X0 @ X2))) | ((~ (X3 @ (sK2 @ X3 @ X1 @ X0))) = $false) | ((X0 @ X1 @ (sK3 @ X3 @ X1 @ X0 @ X2)) = $true)) )),
% 0.22/0.40 inference(binary_proxy_clausification,[],[f173])).
% 0.22/0.40 thf(f173,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (((X0 @ X1 @ (sK3 @ X3 @ X1 @ X0 @ X2)) = $true) | ($false = (X2 @ (sK1 @ X1 @ X0 @ X2))) | ($false = ((~ (X3 @ (sK2 @ X3 @ X1 @ X0))) | (~ (X0 @ X1 @ (sK2 @ X3 @ X1 @ X0)))))) )),
% 0.22/0.40 inference(not_proxy_clausification,[],[f159])).
% 0.22/0.40 thf(f159,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (((~ (X0 @ X1 @ (sK3 @ X3 @ X1 @ X0 @ X2))) = $false) | ($false = (X2 @ (sK1 @ X1 @ X0 @ X2))) | ($false = ((~ (X3 @ (sK2 @ X3 @ X1 @ X0))) | (~ (X0 @ X1 @ (sK2 @ X3 @ X1 @ X0)))))) )),
% 0.22/0.40 inference(binary_proxy_clausification,[],[f158])).
% 0.22/0.40 thf(f158,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (($false = (X2 @ (sK1 @ X1 @ X0 @ X2))) | ($false = (((X3 @ (sK3 @ X3 @ X1 @ X0 @ X2)) | (~ (X2 @ (sK3 @ X3 @ X1 @ X0 @ X2)))) | (~ (X0 @ X1 @ (sK3 @ X3 @ X1 @ X0 @ X2))))) | ($false = ((~ (X3 @ (sK2 @ X3 @ X1 @ X0))) | (~ (X0 @ X1 @ (sK2 @ X3 @ X1 @ X0)))))) )),
% 0.22/0.40 inference(beta_eta_normalization,[],[f157])).
% 0.22/0.40 thf(f157,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (($false = (X2 @ (sK1 @ X1 @ X0 @ X2))) | ($false = ((~ (X3 @ (sK2 @ X3 @ X1 @ X0))) | (~ (X0 @ X1 @ (sK2 @ X3 @ X1 @ X0))))) | ($false = ((^[Y0 : $i]: (((X3 @ Y0) | (~ (X2 @ Y0))) | (~ (X0 @ X1 @ Y0)))) @ (sK3 @ X3 @ X1 @ X0 @ X2)))) )),
% 0.22/0.40 inference(sigma_clausification,[],[f156])).
% 0.22/0.40 thf(f156,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: (((X3 @ Y0) | (~ (X2 @ Y0))) | (~ (X0 @ X1 @ Y0)))))) | ($false = (X2 @ (sK1 @ X1 @ X0 @ X2))) | ($false = ((~ (X3 @ (sK2 @ X3 @ X1 @ X0))) | (~ (X0 @ X1 @ (sK2 @ X3 @ X1 @ X0)))))) )),
% 0.22/0.40 inference(binary_proxy_clausification,[],[f154])).
% 0.22/0.40 thf(f154,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : ((((X2 @ (sK1 @ X1 @ X0 @ X2)) | (~ (X0 @ X1 @ (sK1 @ X1 @ X0 @ X2)))) = $false) | ($false = ((~ (X3 @ (sK2 @ X3 @ X1 @ X0))) | (~ (X0 @ X1 @ (sK2 @ X3 @ X1 @ X0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (((X3 @ Y0) | (~ (X2 @ Y0))) | (~ (X0 @ X1 @ Y0))))))) )),
% 0.22/0.40 inference(beta_eta_normalization,[],[f153])).
% 0.22/0.40 thf(f153,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : ((((X2 @ (sK1 @ X1 @ X0 @ X2)) | (~ (X0 @ X1 @ (sK1 @ X1 @ X0 @ X2)))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (((X3 @ Y0) | (~ (X2 @ Y0))) | (~ (X0 @ X1 @ Y0)))))) | ($false = ((^[Y0 : $i]: ((~ (X3 @ Y0)) | (~ (X0 @ X1 @ Y0)))) @ (sK2 @ X3 @ X1 @ X0)))) )),
% 0.22/0.40 inference(sigma_clausification,[],[f152])).
% 0.22/0.40 thf(f152,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (X3 @ Y0)) | (~ (X0 @ X1 @ Y0)))))) | (((X2 @ (sK1 @ X1 @ X0 @ X2)) | (~ (X0 @ X1 @ (sK1 @ X1 @ X0 @ X2)))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (((X3 @ Y0) | (~ (X2 @ Y0))) | (~ (X0 @ X1 @ Y0))))))) )),
% 0.22/0.40 inference(not_proxy_clausification,[],[f151])).
% 0.22/0.40 thf(f151,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (X3 @ Y0)) | (~ (X0 @ X1 @ Y0))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (((X3 @ Y0) | (~ (X2 @ Y0))) | (~ (X0 @ X1 @ Y0)))))) | (((X2 @ (sK1 @ X1 @ X0 @ X2)) | (~ (X0 @ X1 @ (sK1 @ X1 @ X0 @ X2)))) = $false)) )),
% 0.22/0.40 inference(beta_eta_normalization,[],[f150])).
% 0.22/0.40 thf(f150,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (($false = ((^[Y0 : $i]: ((X2 @ Y0) | (~ (X0 @ X1 @ Y0)))) @ (sK1 @ X1 @ X0 @ X2))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (X3 @ Y0)) | (~ (X0 @ X1 @ Y0))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (((X3 @ Y0) | (~ (X2 @ Y0))) | (~ (X0 @ X1 @ Y0))))))) )),
% 0.22/0.40 inference(sigma_clausification,[],[f149])).
% 0.22/0.40 thf(f149,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (X0 @ X1 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (((X3 @ Y0) | (~ (X2 @ Y0))) | (~ (X0 @ X1 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (X3 @ Y0)) | (~ (X0 @ X1 @ Y0)))))))) )),
% 0.22/0.40 inference(not_proxy_clausification,[],[f148])).
% 0.22/0.40 thf(f148,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (X0 @ X1 @ Y0)))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (((X3 @ Y0) | (~ (X2 @ Y0))) | (~ (X0 @ X1 @ Y0)))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (X3 @ Y0)) | (~ (X0 @ X1 @ Y0)))))))) )),
% 0.22/0.40 inference(not_proxy_clausification,[],[f147])).
% 0.22/0.40 thf(f147,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: (((X3 @ Y0) | (~ (X2 @ Y0))) | (~ (X0 @ X1 @ Y0)))))) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (X3 @ Y0)) | (~ (X0 @ X1 @ Y0))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (X0 @ X1 @ Y0)))))) = $true)) )),
% 0.22/0.40 inference(binary_proxy_clausification,[],[f146])).
% 0.22/0.40 thf(f146,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((~ (X3 @ Y0)) | (~ (X0 @ X1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (X0 @ X1 @ Y0))))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (((X3 @ Y0) | (~ (X2 @ Y0))) | (~ (X0 @ X1 @ Y0)))))) = $true)) )),
% 0.22/0.40 inference(binary_proxy_clausification,[],[f145])).
% 0.22/0.40 thf(f145,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (((((~ (!! @ $i @ (^[Y0 : $i]: ((~ (X3 @ Y0)) | (~ (X0 @ X1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) | (~ (X0 @ X1 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((X3 @ Y0) | (~ (X2 @ Y0))) | (~ (X0 @ X1 @ Y0))))))) = $true)) )),
% 0.22/0.40 inference(beta_eta_normalization,[],[f144])).
% 0.22/0.40 thf(f144,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X3 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (Y0 @ Y1)) | (~ (X0 @ X1 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((X2 @ Y1) | (~ (X0 @ X1 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((Y0 @ Y1) | (~ (X2 @ Y1))) | (~ (X0 @ X1 @ Y1)))))))) @ X3))) )),
% 0.22/0.40 inference(pi_clausification,[],[f143])).
% 0.22/0.40 thf(f143,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((~ (!! @ $i @ (^[Y1 : $i]: ((~ (Y0 @ Y1)) | (~ (X0 @ X1 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((X2 @ Y1) | (~ (X0 @ X1 @ Y1))))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((Y0 @ Y1) | (~ (X2 @ Y1))) | (~ (X0 @ X1 @ Y1))))))))))) )),
% 0.22/0.40 inference(beta_eta_normalization,[],[f142])).
% 0.22/0.40 thf(f142,plain,(
% 0.22/0.40 ( ! [X2 : $i > $o,X0 : $i > $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (X0 @ X1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (X0 @ X1 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((Y1 @ Y2) | (~ (Y0 @ Y2))) | (~ (X0 @ X1 @ Y2)))))))))) @ X2) = $true)) )),
% 0.22/0.40 inference(pi_clausification,[],[f141])).
% 0.22/0.40 thf(f141,plain,(
% 0.22/0.40 ( ! [X0 : $i > $i > $o,X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((~ (!! @ $i @ (^[Y2 : $i]: ((~ (Y1 @ Y2)) | (~ (X0 @ X1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (X0 @ X1 @ Y2))))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((Y1 @ Y2) | (~ (Y0 @ Y2))) | (~ (X0 @ X1 @ Y2))))))))))))) )),
% 0.22/0.40 inference(beta_eta_normalization,[],[f140])).
% 0.22/0.40 thf(f140,plain,(
% 0.22/0.40 ( ! [X0 : $i > $i > $o,X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y2 @ Y3)) | (~ (X0 @ Y0 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (X0 @ Y0 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((Y2 @ Y3) | (~ (Y1 @ Y3))) | (~ (X0 @ Y0 @ Y3)))))))))))) @ X1) = $true)) )),
% 0.22/0.40 inference(pi_clausification,[],[f139])).
% 0.22/0.40 thf(f139,plain,(
% 0.22/0.40 ( ! [X0 : $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((~ (!! @ $i @ (^[Y3 : $i]: ((~ (Y2 @ Y3)) | (~ (X0 @ Y0 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (X0 @ Y0 @ Y3))))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((Y2 @ Y3) | (~ (Y1 @ Y3))) | (~ (X0 @ Y0 @ Y3))))))))))))) = $true)) )),
% 0.22/0.40 inference(beta_eta_normalization,[],[f138])).
% 0.22/0.40 thf(f138,plain,(
% 0.22/0.40 ( ! [X0 : $i > $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : ($i > $o) > $i > $o]: ((^[Y2 : $i]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i > $o]: ((^[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)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ X0 @ ((^[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)) @ ((^[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)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ X0 @ Y0) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y5 @ Y7) | (~ (Y4 @ Y6 @ Y7)))))))))) @ Y2 @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ X0 @ Y1)))))))) = $true)) )),
% 0.22/0.40 inference(definition_unfolding,[],[f106,f123,f121,f121,f130,f122,f130,f130,f122,f137])).
% 0.22/0.40 thf(f137,plain,(
% 0.22/0.40 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 0.22/0.40 inference(definition_unfolding,[],[f108,f118,f122,f118])).
% 0.22/0.40 thf(f118,plain,(
% 0.22/0.40 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.40 inference(cnf_transformation,[],[f87])).
% 0.22/0.40 thf(f87,plain,(
% 0.22/0.40 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.40 inference(fool_elimination,[],[f86])).
% 0.22/0.40 thf(f86,plain,(
% 0.22/0.40 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.22/0.40 inference(rectify,[],[f3])).
% 0.22/0.40 thf(f3,axiom,(
% 0.22/0.40 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.22/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.22/0.40 thf(f108,plain,(
% 0.22/0.40 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.22/0.40 inference(cnf_transformation,[],[f46])).
% 0.22/0.40 thf(f46,plain,(
% 0.22/0.40 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 0.22/0.40 inference(fool_elimination,[],[f45])).
% 0.22/0.40 thf(f45,plain,(
% 0.22/0.40 ((^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))) = mdia)),
% 0.22/0.40 inference(rectify,[],[f17])).
% 0.22/0.40 thf(f17,axiom,(
% 0.22/0.40 ((^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))) = mdia)),
% 0.22/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)).
% 0.22/0.40 thf(f122,plain,(
% 0.22/0.40 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.22/0.40 inference(cnf_transformation,[],[f44])).
% 0.22/0.40 thf(f44,plain,(
% 0.22/0.40 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.22/0.40 inference(fool_elimination,[],[f43])).
% 0.22/0.40 thf(f43,plain,(
% 0.22/0.40 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 0.22/0.40 inference(rectify,[],[f16])).
% 0.22/0.40 thf(f16,axiom,(
% 0.22/0.40 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 0.22/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 0.22/0.40 thf(f130,plain,(
% 0.22/0.40 (mimplies = (^[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)))))),
% 0.22/0.40 inference(definition_unfolding,[],[f102,f104,f118])).
% 0.22/0.40 thf(f104,plain,(
% 0.22/0.40 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.22/0.40 inference(cnf_transformation,[],[f80])).
% 0.22/0.40 thf(f80,plain,(
% 0.22/0.40 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.22/0.40 inference(fool_elimination,[],[f79])).
% 0.22/0.40 thf(f79,plain,(
% 0.22/0.40 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.22/0.40 inference(rectify,[],[f4])).
% 0.22/0.40 thf(f4,axiom,(
% 0.22/0.40 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 0.22/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.22/0.40 thf(f102,plain,(
% 0.22/0.40 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.40 inference(cnf_transformation,[],[f56])).
% 0.22/0.40 thf(f56,plain,(
% 0.22/0.40 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.40 inference(fool_elimination,[],[f55])).
% 0.22/0.40 thf(f55,plain,(
% 0.22/0.40 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.22/0.40 inference(rectify,[],[f6])).
% 0.22/0.40 thf(f6,axiom,(
% 0.22/0.40 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.22/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 0.22/0.40 thf(f121,plain,(
% 0.22/0.40 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.40 inference(cnf_transformation,[],[f91])).
% 0.22/0.40 thf(f91,plain,(
% 0.22/0.40 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.40 inference(fool_elimination,[],[f90])).
% 0.22/0.40 thf(f90,plain,(
% 0.22/0.40 (mforall_prop = (^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))))),
% 0.22/0.40 inference(rectify,[],[f11])).
% 0.22/0.40 thf(f11,axiom,(
% 0.22/0.40 (mforall_prop = (^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))))),
% 0.22/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop)).
% 0.22/0.40 thf(f123,plain,(
% 0.22/0.40 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.40 inference(cnf_transformation,[],[f89])).
% 0.22/0.40 thf(f89,plain,(
% 0.22/0.40 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.40 inference(fool_elimination,[],[f88])).
% 0.22/0.40 thf(f88,plain,(
% 0.22/0.40 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.22/0.40 inference(rectify,[],[f28])).
% 0.22/0.40 thf(f28,axiom,(
% 0.22/0.40 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.22/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.22/0.40 thf(f106,plain,(
% 0.22/0.40 ( ! [X0 : $i > $i > $o] : (((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mforall_prop @ (^[Y1 : $i > $o]: (mimplies @ (mbox @ X0 @ (mimplies @ Y0 @ Y1)) @ (mimplies @ (mbox @ X0 @ Y0) @ (mdia @ X0 @ Y1)))))))) = $true)) )),
% 0.22/0.40 inference(cnf_transformation,[],[f96])).
% 0.22/0.40 thf(f96,plain,(
% 0.22/0.40 ! [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mforall_prop @ (^[Y1 : $i > $o]: (mimplies @ (mbox @ X0 @ (mimplies @ Y0 @ Y1)) @ (mimplies @ (mbox @ X0 @ Y0) @ (mdia @ X0 @ Y1)))))))) = $true)),
% 0.22/0.40 inference(ennf_transformation,[],[f95])).
% 0.22/0.40 thf(f95,plain,(
% 0.22/0.40 ~? [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mforall_prop @ (^[Y1 : $i > $o]: (mimplies @ (mbox @ X0 @ (mimplies @ Y0 @ Y1)) @ (mimplies @ (mbox @ X0 @ Y0) @ (mdia @ X0 @ Y1)))))))) != $true)),
% 0.22/0.40 inference(flattening,[],[f38])).
% 0.22/0.40 thf(f38,plain,(
% 0.22/0.40 ~? [X0 : $i > $i > $o] : ~((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mforall_prop @ (^[Y1 : $i > $o]: (mimplies @ (mbox @ X0 @ (mimplies @ Y0 @ Y1)) @ (mimplies @ (mbox @ X0 @ Y0) @ (mdia @ X0 @ Y1)))))))) = $true)),
% 0.22/0.40 inference(fool_elimination,[],[f37])).
% 0.22/0.40 thf(f37,plain,(
% 0.22/0.40 ~? [X0 : $i > $i > $o] : ~(mvalid @ (mforall_prop @ (^[X1 : $i > $o] : (mforall_prop @ (^[X2 : $i > $o] : (mimplies @ (mbox @ X0 @ (mimplies @ X1 @ X2)) @ (mimplies @ (mbox @ X0 @ X1) @ (mdia @ X0 @ X2))))))))),
% 0.22/0.40 inference(rectify,[],[f33])).
% 0.22/0.40 thf(f33,negated_conjecture,(
% 0.22/0.40 ~? [X6 : $i > $i > $o] : ~(mvalid @ (mforall_prop @ (^[X11 : $i > $o] : (mforall_prop @ (^[X12 : $i > $o] : (mimplies @ (mbox @ X6 @ (mimplies @ X11 @ X12)) @ (mimplies @ (mbox @ X6 @ X11) @ (mdia @ X6 @ X12))))))))),
% 0.22/0.40 inference(negated_conjecture,[],[f32])).
% 0.22/0.40 thf(f32,conjecture,(
% 0.22/0.40 ? [X6 : $i > $i > $o] : ~(mvalid @ (mforall_prop @ (^[X11 : $i > $o] : (mforall_prop @ (^[X12 : $i > $o] : (mimplies @ (mbox @ X6 @ (mimplies @ X11 @ X12)) @ (mimplies @ (mbox @ X6 @ X11) @ (mdia @ X6 @ X12))))))))),
% 0.22/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.22/0.40 thf(f34,plain,(
% 0.22/0.40 ($true != $false)),
% 0.22/0.40 introduced(fool_axiom,[])).
% 0.22/0.40 % SZS output end Proof for theBenchmark
% 0.22/0.40 % (11492)------------------------------
% 0.22/0.40 % (11492)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (11492)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (11492)Memory used [KB]: 5756
% 0.22/0.40 % (11492)Time elapsed: 0.018 s
% 0.22/0.40 % (11492)Instructions burned: 22 (million)
% 0.22/0.40 % (11492)------------------------------
% 0.22/0.40 % (11492)------------------------------
% 0.22/0.40 % (11491)Success in time 0.022 s
% 0.22/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------