TSTP Solution File: SYO460^6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO460^6 : 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 : n016.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 09:04:49 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO460^6 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n016.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 08:46:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.39 % (12331)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)
% 0.15/0.40 % (12328)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)
% 0.15/0.40 % (12326)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.40 % (12330)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)
% 0.15/0.40 % (12331)Refutation not found, incomplete strategy
% 0.15/0.40 % (12331)------------------------------
% 0.15/0.40 % (12331)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (12331)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40
% 0.15/0.40
% 0.15/0.40 % (12331)Memory used [KB]: 5628
% 0.15/0.40 % (12331)Time elapsed: 0.007 s
% 0.15/0.40 % (12331)Instructions burned: 8 (million)
% 0.15/0.40 % (12331)------------------------------
% 0.15/0.40 % (12331)------------------------------
% 0.15/0.40 % (12330)Instruction limit reached!
% 0.15/0.40 % (12330)------------------------------
% 0.15/0.40 % (12330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (12330)Termination reason: Unknown
% 0.15/0.40 % (12330)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (12330)Memory used [KB]: 1023
% 0.15/0.40 % (12330)Time elapsed: 0.003 s
% 0.15/0.40 % (12330)Instructions burned: 2 (million)
% 0.15/0.40 % (12330)------------------------------
% 0.15/0.40 % (12330)------------------------------
% 0.15/0.40 % (12327)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)
% 0.15/0.40 % (12329)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40 % (12333)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)
% 0.15/0.40 % (12332)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.40 % (12329)Instruction limit reached!
% 0.15/0.40 % (12329)------------------------------
% 0.15/0.40 % (12329)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (12329)Termination reason: Unknown
% 0.15/0.40 % (12329)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (12329)Memory used [KB]: 1023
% 0.15/0.40 % (12329)Time elapsed: 0.004 s
% 0.15/0.40 % (12329)Instructions burned: 2 (million)
% 0.15/0.40 % (12329)------------------------------
% 0.15/0.40 % (12329)------------------------------
% 0.15/0.40 % (12333)Instruction limit reached!
% 0.15/0.40 % (12333)------------------------------
% 0.15/0.40 % (12333)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (12333)Termination reason: Unknown
% 0.15/0.40 % (12333)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (12327)Instruction limit reached!
% 0.15/0.40 % (12327)------------------------------
% 0.15/0.40 % (12327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (12327)Termination reason: Unknown
% 0.15/0.40 % (12327)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (12327)Memory used [KB]: 1023
% 0.15/0.40 % (12327)Time elapsed: 0.005 s
% 0.15/0.40 % (12327)Instructions burned: 4 (million)
% 0.15/0.40 % (12327)------------------------------
% 0.15/0.40 % (12327)------------------------------
% 0.15/0.40 % (12333)Memory used [KB]: 1023
% 0.15/0.40 % (12333)Time elapsed: 0.004 s
% 0.15/0.40 % (12333)Instructions burned: 3 (million)
% 0.15/0.40 % (12333)------------------------------
% 0.15/0.40 % (12333)------------------------------
% 0.15/0.41 % (12326)First to succeed.
% 0.22/0.41 % (12328)Also succeeded, but the first one will report.
% 0.22/0.41 % (12326)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% 0.22/0.41 thf(type_def_5, type, mu: $tType).
% 0.22/0.41 thf(func_def_0, type, mu: $tType).
% 0.22/0.41 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.41 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.41 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.41 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.41 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.41 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.41 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.41 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.41 thf(func_def_33, type, rel_s5: $i > $i > $o).
% 0.22/0.41 thf(func_def_34, type, mbox_s5: ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_35, type, mdia_s5: ($i > $o) > $i > $o).
% 0.22/0.41 thf(func_def_36, type, p: $i > $o).
% 0.22/0.41 thf(func_def_37, type, q: $i > $o).
% 0.22/0.41 thf(func_def_38, type, r: $i > $o).
% 0.22/0.41 thf(f341,plain,(
% 0.22/0.41 $false),
% 0.22/0.41 inference(avatar_sat_refutation,[],[f243,f253,f281,f291,f305,f323,f340])).
% 0.22/0.41 thf(f340,plain,(
% 0.22/0.41 ~spl0_10 | ~spl0_12),
% 0.22/0.41 inference(avatar_contradiction_clause,[],[f339])).
% 0.22/0.41 thf(f339,plain,(
% 0.22/0.41 $false | (~spl0_10 | ~spl0_12)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f335])).
% 0.22/0.41 thf(f335,plain,(
% 0.22/0.41 ($false = $true) | (~spl0_10 | ~spl0_12)),
% 0.22/0.41 inference(superposition,[],[f332,f290])).
% 0.22/0.41 thf(f290,plain,(
% 0.22/0.41 ((p @ sK3) = $true) | ~spl0_12),
% 0.22/0.41 inference(avatar_component_clause,[],[f288])).
% 0.22/0.41 thf(f288,plain,(
% 0.22/0.41 spl0_12 <=> ((p @ sK3) = $true)),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 0.22/0.41 thf(f332,plain,(
% 0.22/0.41 ($false = (p @ sK3)) | ~spl0_10),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f329])).
% 0.22/0.41 thf(f329,plain,(
% 0.22/0.41 ($false = (p @ sK3)) | ($false = $true) | ~spl0_10),
% 0.22/0.41 inference(superposition,[],[f231,f280])).
% 0.22/0.41 thf(f280,plain,(
% 0.22/0.41 ((rel_s5 @ sK1 @ sK3) = $true) | ~spl0_10),
% 0.22/0.41 inference(avatar_component_clause,[],[f278])).
% 0.22/0.41 thf(f278,plain,(
% 0.22/0.41 spl0_10 <=> ((rel_s5 @ sK1 @ sK3) = $true)),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.22/0.41 thf(f231,plain,(
% 0.22/0.41 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ((p @ X1) = $false)) )),
% 0.22/0.41 inference(not_proxy_clausification,[],[f230])).
% 0.22/0.41 thf(f230,plain,(
% 0.22/0.41 ( ! [X1 : $i] : (($true = (~ (rel_s5 @ sK1 @ X1))) | ((p @ X1) = $false)) )),
% 0.22/0.41 inference(not_proxy_clausification,[],[f229])).
% 0.22/0.41 thf(f229,plain,(
% 0.22/0.41 ( ! [X1 : $i] : (($true = (~ (p @ X1))) | ($true = (~ (rel_s5 @ sK1 @ X1)))) )),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f228])).
% 0.22/0.41 thf(f228,plain,(
% 0.22/0.41 ( ! [X1 : $i] : ((((~ (p @ X1)) | (~ (rel_s5 @ sK1 @ X1))) = $true)) )),
% 0.22/0.41 inference(beta_eta_normalization,[],[f227])).
% 0.22/0.41 thf(f227,plain,(
% 0.22/0.41 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK1 @ Y0)))) @ X1))) )),
% 0.22/0.41 inference(pi_clausification,[],[f226])).
% 0.22/0.41 thf(f226,plain,(
% 0.22/0.41 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK1 @ Y0))))))),
% 0.22/0.41 inference(not_proxy_clausification,[],[f182])).
% 0.22/0.41 thf(f182,plain,(
% 0.22/0.41 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK1 @ Y0)))))))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f181])).
% 0.22/0.41 thf(f181,plain,(
% 0.22/0.41 ($false = ((~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (r @ Y0))) | (~ (rel_s5 @ sK1 @ Y0)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK1 @ Y0))))))))),
% 0.22/0.41 inference(beta_eta_normalization,[],[f180])).
% 0.22/0.41 thf(f180,plain,(
% 0.22/0.41 ($false = ((^[Y0 : $i]: ((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (p @ Y1)) | (~ (q @ Y1))) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (p @ Y1)) | (~ (r @ Y1))) | (~ (rel_s5 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))))) @ sK1))),
% 0.22/0.41 inference(sigma_clausification,[],[f179])).
% 0.22/0.41 thf(f179,plain,(
% 0.22/0.41 ($true != (!! @ $i @ (^[Y0 : $i]: ((~ ((~ (!! @ $i @ (^[Y1 : $i]: (((~ (p @ Y1)) | (~ (q @ Y1))) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (p @ Y1)) | (~ (r @ Y1))) | (~ (rel_s5 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1))))))))))),
% 0.22/0.41 inference(boolean_simplification,[],[f178])).
% 0.22/0.41 thf(f178,plain,(
% 0.22/0.41 ($true != (!! @ $i @ (^[Y0 : $i]: ((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (~ ((~ (p @ Y1)) | (~ (q @ Y1))))) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ (p @ Y1)) | (~ (r @ Y1))) | (~ (rel_s5 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1))))))))))),
% 0.22/0.41 inference(boolean_simplification,[],[f177])).
% 0.22/0.41 thf(f177,plain,(
% 0.22/0.41 ($true != (!! @ $i @ (^[Y0 : $i]: ((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (~ ((~ (p @ Y1)) | (~ (q @ Y1))))) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (~ ((~ (p @ Y1)) | (~ (r @ Y1))))) | (~ (rel_s5 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1))))))))))),
% 0.22/0.41 inference(beta_eta_normalization,[],[f161])).
% 0.22/0.41 thf(f161,plain,(
% 0.22/0.41 (((^[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 > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s5 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ Y0)))) @ ((^[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 > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s5 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ Y0)))) @ ((^[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 @ r))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s5 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ Y0)))) @ p))) != $true)),
% 0.22/0.41 inference(definition_unfolding,[],[f145,f133,f149,f131,f157,f148,f157,f148,f157])).
% 0.22/0.41 thf(f148,plain,(
% 0.22/0.41 (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)))))))),
% 0.22/0.41 inference(definition_unfolding,[],[f142,f132,f131,f132,f132])).
% 0.22/0.41 thf(f132,plain,(
% 0.22/0.41 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.41 inference(cnf_transformation,[],[f87])).
% 0.22/0.41 thf(f87,plain,(
% 0.22/0.41 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.41 inference(fool_elimination,[],[f86])).
% 0.22/0.41 thf(f86,plain,(
% 0.22/0.41 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.22/0.41 inference(rectify,[],[f3])).
% 0.22/0.41 thf(f3,axiom,(
% 0.22/0.41 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 0.22/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.22/0.41 thf(f142,plain,(
% 0.22/0.41 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.22/0.41 inference(cnf_transformation,[],[f91])).
% 0.22/0.41 thf(f91,plain,(
% 0.22/0.41 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.22/0.41 inference(fool_elimination,[],[f90])).
% 0.22/0.41 thf(f90,plain,(
% 0.22/0.41 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)),
% 0.22/0.41 inference(rectify,[],[f5])).
% 0.22/0.41 thf(f5,axiom,(
% 0.22/0.41 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)),
% 0.22/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 0.22/0.41 thf(f157,plain,(
% 0.22/0.41 (mdia_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s5 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ Y0)))))),
% 0.22/0.41 inference(definition_unfolding,[],[f118,f132,f130,f132])).
% 0.22/0.41 thf(f130,plain,(
% 0.22/0.41 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))))),
% 0.22/0.41 inference(cnf_transformation,[],[f72])).
% 0.22/0.41 thf(f72,plain,(
% 0.22/0.41 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))))),
% 0.22/0.41 inference(fool_elimination,[],[f71])).
% 0.22/0.41 thf(f71,plain,(
% 0.22/0.41 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s5 @ X1 @ X2) | (X0 @ X2)))) = mbox_s5)),
% 0.22/0.41 inference(rectify,[],[f32])).
% 0.22/0.41 thf(f32,axiom,(
% 0.22/0.41 ((^[X3 : $i > $o, X2 : $i] : (! [X7] : (~(rel_s5 @ X2 @ X7) | (X3 @ X7)))) = mbox_s5)),
% 0.22/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s5)).
% 0.22/0.41 thf(f118,plain,(
% 0.22/0.41 (mdia_s5 = (^[Y0 : $i > $o]: (mnot @ (mbox_s5 @ (mnot @ Y0)))))),
% 0.22/0.41 inference(cnf_transformation,[],[f103])).
% 0.22/0.41 thf(f103,plain,(
% 0.22/0.41 (mdia_s5 = (^[Y0 : $i > $o]: (mnot @ (mbox_s5 @ (mnot @ Y0)))))),
% 0.22/0.41 inference(fool_elimination,[],[f102])).
% 0.22/0.41 thf(f102,plain,(
% 0.22/0.41 (mdia_s5 = (^[X0 : $i > $o] : (mnot @ (mbox_s5 @ (mnot @ X0)))))),
% 0.22/0.41 inference(rectify,[],[f33])).
% 0.22/0.41 thf(f33,axiom,(
% 0.22/0.41 (mdia_s5 = (^[X3 : $i > $o] : (mnot @ (mbox_s5 @ (mnot @ X3)))))),
% 0.22/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_s5)).
% 0.22/0.41 thf(f131,plain,(
% 0.22/0.41 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.41 inference(cnf_transformation,[],[f109])).
% 0.22/0.41 thf(f109,plain,(
% 0.22/0.41 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.41 inference(fool_elimination,[],[f108])).
% 0.22/0.41 thf(f108,plain,(
% 0.22/0.41 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.22/0.41 inference(rectify,[],[f4])).
% 0.22/0.41 thf(f4,axiom,(
% 0.22/0.41 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
% 0.22/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.22/0.41 thf(f149,plain,(
% 0.22/0.41 (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)))))),
% 0.22/0.41 inference(definition_unfolding,[],[f117,f131,f132])).
% 0.22/0.41 thf(f117,plain,(
% 0.22/0.41 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.41 inference(cnf_transformation,[],[f60])).
% 0.22/0.41 thf(f60,plain,(
% 0.22/0.41 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.41 inference(fool_elimination,[],[f59])).
% 0.22/0.41 thf(f59,plain,(
% 0.22/0.41 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.22/0.41 inference(rectify,[],[f6])).
% 0.22/0.41 thf(f6,axiom,(
% 0.22/0.41 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.22/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.22/0.41 thf(f133,plain,(
% 0.22/0.41 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.41 inference(cnf_transformation,[],[f101])).
% 0.22/0.41 thf(f101,plain,(
% 0.22/0.41 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.41 inference(fool_elimination,[],[f100])).
% 0.22/0.41 thf(f100,plain,(
% 0.22/0.41 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.22/0.41 inference(rectify,[],[f28])).
% 0.22/0.41 thf(f28,axiom,(
% 0.22/0.41 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.22/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.22/0.41 thf(f145,plain,(
% 0.22/0.41 ((mvalid @ (mimplies @ (mor @ (mdia_s5 @ (mand @ p @ q)) @ (mdia_s5 @ (mand @ p @ r))) @ (mdia_s5 @ p))) != $true)),
% 0.22/0.41 inference(cnf_transformation,[],[f110])).
% 0.22/0.41 thf(f110,plain,(
% 0.22/0.41 ((mvalid @ (mimplies @ (mor @ (mdia_s5 @ (mand @ p @ q)) @ (mdia_s5 @ (mand @ p @ r))) @ (mdia_s5 @ p))) != $true)),
% 0.22/0.41 inference(flattening,[],[f51])).
% 0.22/0.41 thf(f51,plain,(
% 0.22/0.41 ~((mvalid @ (mimplies @ (mor @ (mdia_s5 @ (mand @ p @ q)) @ (mdia_s5 @ (mand @ p @ r))) @ (mdia_s5 @ p))) = $true)),
% 0.22/0.41 inference(fool_elimination,[],[f50])).
% 0.22/0.41 thf(f50,plain,(
% 0.22/0.41 ~(mvalid @ (mimplies @ (mor @ (mdia_s5 @ (mand @ p @ q)) @ (mdia_s5 @ (mand @ p @ r))) @ (mdia_s5 @ p)))),
% 0.22/0.41 inference(rectify,[],[f38])).
% 0.22/0.41 thf(f38,negated_conjecture,(
% 0.22/0.41 ~(mvalid @ (mimplies @ (mor @ (mdia_s5 @ (mand @ p @ q)) @ (mdia_s5 @ (mand @ p @ r))) @ (mdia_s5 @ p)))),
% 0.22/0.41 inference(negated_conjecture,[],[f37])).
% 0.22/0.41 thf(f37,conjecture,(
% 0.22/0.41 (mvalid @ (mimplies @ (mor @ (mdia_s5 @ (mand @ p @ q)) @ (mdia_s5 @ (mand @ p @ r))) @ (mdia_s5 @ p)))),
% 0.22/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove)).
% 0.22/0.41 thf(f323,plain,(
% 0.22/0.41 ~spl0_1 | ~spl0_9),
% 0.22/0.41 inference(avatar_contradiction_clause,[],[f322])).
% 0.22/0.41 thf(f322,plain,(
% 0.22/0.41 $false | (~spl0_1 | ~spl0_9)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f319])).
% 0.22/0.41 thf(f319,plain,(
% 0.22/0.41 ($false = $true) | (~spl0_1 | ~spl0_9)),
% 0.22/0.41 inference(superposition,[],[f276,f317])).
% 0.22/0.41 thf(f317,plain,(
% 0.22/0.41 ((p @ sK2) = $false) | ~spl0_1),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f312])).
% 0.22/0.41 thf(f312,plain,(
% 0.22/0.41 ($false = $true) | ((p @ sK2) = $false) | ~spl0_1),
% 0.22/0.41 inference(superposition,[],[f231,f238])).
% 0.22/0.41 thf(f238,plain,(
% 0.22/0.41 ((rel_s5 @ sK1 @ sK2) = $true) | ~spl0_1),
% 0.22/0.41 inference(avatar_component_clause,[],[f236])).
% 0.22/0.41 thf(f236,plain,(
% 0.22/0.41 spl0_1 <=> ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.22/0.41 thf(f276,plain,(
% 0.22/0.41 ((p @ sK2) = $true) | ~spl0_9),
% 0.22/0.41 inference(avatar_component_clause,[],[f274])).
% 0.22/0.41 thf(f274,plain,(
% 0.22/0.41 spl0_9 <=> ((p @ sK2) = $true)),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.22/0.41 thf(f305,plain,(
% 0.22/0.41 ~spl0_2 | ~spl0_4),
% 0.22/0.41 inference(avatar_contradiction_clause,[],[f304])).
% 0.22/0.41 thf(f304,plain,(
% 0.22/0.41 $false | (~spl0_2 | ~spl0_4)),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f301])).
% 0.22/0.41 thf(f301,plain,(
% 0.22/0.41 ($false = $true) | (~spl0_2 | ~spl0_4)),
% 0.22/0.41 inference(superposition,[],[f252,f299])).
% 0.22/0.41 thf(f299,plain,(
% 0.22/0.41 ($false = (p @ sK5)) | ~spl0_2),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f295])).
% 0.22/0.41 thf(f295,plain,(
% 0.22/0.41 ($false = (p @ sK5)) | ($false = $true) | ~spl0_2),
% 0.22/0.41 inference(superposition,[],[f242,f231])).
% 0.22/0.41 thf(f242,plain,(
% 0.22/0.41 ((rel_s5 @ sK1 @ sK5) = $true) | ~spl0_2),
% 0.22/0.41 inference(avatar_component_clause,[],[f240])).
% 0.22/0.41 thf(f240,plain,(
% 0.22/0.41 spl0_2 <=> ((rel_s5 @ sK1 @ sK5) = $true)),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.22/0.41 thf(f252,plain,(
% 0.22/0.41 ((p @ sK5) = $true) | ~spl0_4),
% 0.22/0.41 inference(avatar_component_clause,[],[f250])).
% 0.22/0.41 thf(f250,plain,(
% 0.22/0.41 spl0_4 <=> ((p @ sK5) = $true)),
% 0.22/0.41 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.22/0.41 thf(f291,plain,(
% 0.22/0.41 spl0_9 | spl0_12),
% 0.22/0.41 inference(avatar_split_clause,[],[f201,f288,f274])).
% 0.22/0.41 thf(f201,plain,(
% 0.22/0.41 ((p @ sK2) = $true) | ((p @ sK3) = $true)),
% 0.22/0.41 inference(not_proxy_clausification,[],[f200])).
% 0.22/0.41 thf(f200,plain,(
% 0.22/0.41 ((p @ sK2) = $true) | ($false = (~ (p @ sK3)))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f198])).
% 0.22/0.41 thf(f198,plain,(
% 0.22/0.41 ($false = ((~ (p @ sK3)) | (~ (q @ sK3)))) | ((p @ sK2) = $true)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f196])).
% 0.22/0.41 thf(f196,plain,(
% 0.22/0.41 ((p @ sK2) = $true) | ($false = (((~ (p @ sK3)) | (~ (q @ sK3))) | (~ (rel_s5 @ sK1 @ sK3))))),
% 0.22/0.41 inference(not_proxy_clausification,[],[f195])).
% 0.22/0.41 thf(f195,plain,(
% 0.22/0.41 ($false = (~ (p @ sK2))) | ($false = (((~ (p @ sK3)) | (~ (q @ sK3))) | (~ (rel_s5 @ sK1 @ sK3))))),
% 0.22/0.41 inference(beta_eta_normalization,[],[f194])).
% 0.22/0.41 thf(f194,plain,(
% 0.22/0.41 ($false = ((^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0)))) @ sK3)) | ($false = (~ (p @ sK2)))),
% 0.22/0.41 inference(sigma_clausification,[],[f193])).
% 0.22/0.41 thf(f193,plain,(
% 0.22/0.41 ((!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0))))) = $false) | ($false = (~ (p @ sK2)))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f191])).
% 0.22/0.41 thf(f191,plain,(
% 0.22/0.41 ($false = ((~ (p @ sK2)) | (~ (r @ sK2)))) | ((!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0))))) = $false)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f189])).
% 0.22/0.41 thf(f189,plain,(
% 0.22/0.41 ($false = (((~ (p @ sK2)) | (~ (r @ sK2))) | (~ (rel_s5 @ sK1 @ sK2)))) | ((!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0))))) = $false)),
% 0.22/0.41 inference(beta_eta_normalization,[],[f188])).
% 0.22/0.41 thf(f188,plain,(
% 0.22/0.41 ($false = ((^[Y0 : $i]: (((~ (p @ Y0)) | (~ (r @ Y0))) | (~ (rel_s5 @ sK1 @ Y0)))) @ sK2)) | ((!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0))))) = $false)),
% 0.22/0.41 inference(sigma_clausification,[],[f187])).
% 0.22/0.41 thf(f187,plain,(
% 0.22/0.41 ($false = (!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (r @ Y0))) | (~ (rel_s5 @ sK1 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0))))) = $false)),
% 0.22/0.41 inference(not_proxy_clausification,[],[f186])).
% 0.22/0.41 thf(f186,plain,(
% 0.22/0.41 ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (r @ Y0))) | (~ (rel_s5 @ sK1 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0))))) = $false)),
% 0.22/0.41 inference(not_proxy_clausification,[],[f185])).
% 0.22/0.41 thf(f185,plain,(
% 0.22/0.41 ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0)))))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (r @ Y0))) | (~ (rel_s5 @ sK1 @ Y0)))))) = $true)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f184])).
% 0.22/0.41 thf(f184,plain,(
% 0.22/0.41 (((~ (!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (r @ Y0))) | (~ (rel_s5 @ sK1 @ Y0))))))) = $true)),
% 0.22/0.41 inference(not_proxy_clausification,[],[f183])).
% 0.22/0.41 thf(f183,plain,(
% 0.22/0.41 ($false = (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (r @ Y0))) | (~ (rel_s5 @ sK1 @ Y0)))))))))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f181])).
% 0.22/0.41 thf(f281,plain,(
% 0.22/0.41 spl0_9 | spl0_10),
% 0.22/0.41 inference(avatar_split_clause,[],[f203,f278,f274])).
% 0.22/0.41 thf(f203,plain,(
% 0.22/0.41 ((rel_s5 @ sK1 @ sK3) = $true) | ((p @ sK2) = $true)),
% 0.22/0.41 inference(not_proxy_clausification,[],[f197])).
% 0.22/0.41 thf(f197,plain,(
% 0.22/0.41 ((p @ sK2) = $true) | ($false = (~ (rel_s5 @ sK1 @ sK3)))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f196])).
% 0.22/0.41 thf(f253,plain,(
% 0.22/0.41 spl0_1 | spl0_4),
% 0.22/0.41 inference(avatar_split_clause,[],[f223,f250,f236])).
% 0.22/0.41 thf(f223,plain,(
% 0.22/0.41 ((p @ sK5) = $true) | ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.22/0.41 inference(not_proxy_clausification,[],[f222])).
% 0.22/0.41 thf(f222,plain,(
% 0.22/0.41 ($false = (~ (p @ sK5))) | ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f220])).
% 0.22/0.41 thf(f220,plain,(
% 0.22/0.41 (((~ (p @ sK5)) | (~ (q @ sK5))) = $false) | ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f218])).
% 0.22/0.41 thf(f218,plain,(
% 0.22/0.41 ($false = (((~ (p @ sK5)) | (~ (q @ sK5))) | (~ (rel_s5 @ sK1 @ sK5)))) | ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.22/0.41 inference(not_proxy_clausification,[],[f217])).
% 0.22/0.41 thf(f217,plain,(
% 0.22/0.41 ($false = (~ (rel_s5 @ sK1 @ sK2))) | ($false = (((~ (p @ sK5)) | (~ (q @ sK5))) | (~ (rel_s5 @ sK1 @ sK5))))),
% 0.22/0.41 inference(beta_eta_normalization,[],[f216])).
% 0.22/0.41 thf(f216,plain,(
% 0.22/0.41 ($false = ((^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0)))) @ sK5)) | ($false = (~ (rel_s5 @ sK1 @ sK2)))),
% 0.22/0.41 inference(sigma_clausification,[],[f190])).
% 0.22/0.41 thf(f190,plain,(
% 0.22/0.41 ((!! @ $i @ (^[Y0 : $i]: (((~ (p @ Y0)) | (~ (q @ Y0))) | (~ (rel_s5 @ sK1 @ Y0))))) = $false) | ($false = (~ (rel_s5 @ sK1 @ sK2)))),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f189])).
% 0.22/0.41 thf(f243,plain,(
% 0.22/0.41 spl0_1 | spl0_2),
% 0.22/0.41 inference(avatar_split_clause,[],[f225,f240,f236])).
% 0.22/0.41 thf(f225,plain,(
% 0.22/0.41 ((rel_s5 @ sK1 @ sK2) = $true) | ((rel_s5 @ sK1 @ sK5) = $true)),
% 0.22/0.41 inference(not_proxy_clausification,[],[f219])).
% 0.22/0.41 thf(f219,plain,(
% 0.22/0.41 ($false = (~ (rel_s5 @ sK1 @ sK5))) | ((rel_s5 @ sK1 @ sK2) = $true)),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f218])).
% 0.22/0.41 % SZS output end Proof for theBenchmark
% 0.22/0.41 % (12326)------------------------------
% 0.22/0.41 % (12326)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (12326)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (12326)Memory used [KB]: 5756
% 0.22/0.41 % (12326)Time elapsed: 0.015 s
% 0.22/0.41 % (12326)Instructions burned: 17 (million)
% 0.22/0.41 % (12326)------------------------------
% 0.22/0.41 % (12326)------------------------------
% 0.22/0.41 % (12325)Success in time 0.037 s
% 0.22/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------