TSTP Solution File: SYO451^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO451^5 : 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 : n010.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 09:04:32 EDT 2024
% Result : Theorem 0.53s 0.56s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO451^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % 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 : n010.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 09:34:23 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
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% 0.21/0.52 ipcrm: permission denied for id (1646100607)
% 0.21/0.54 % (13821)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 (2998ds/2Mi)
% 0.21/0.54 % (13821)Instruction limit reached!
% 0.21/0.54 % (13821)------------------------------
% 0.21/0.54 % (13821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (13821)Termination reason: Unknown
% 0.21/0.54 % (13821)Termination phase: shuffling
% 0.21/0.54
% 0.21/0.54 % (13821)Memory used [KB]: 1023
% 0.21/0.54 % (13821)Time elapsed: 0.002 s
% 0.21/0.54 % (13821)Instructions burned: 2 (million)
% 0.21/0.54 % (13821)------------------------------
% 0.21/0.54 % (13821)------------------------------
% 0.21/0.54 % (13818)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 (2998ds/4Mi)
% 0.21/0.54 % (13820)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.21/0.54 % (13819)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 (2998ds/27Mi)
% 0.21/0.54 % (13822)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 (2998ds/275Mi)
% 0.21/0.54 % (13823)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.21/0.54 % (13824)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.54 % (13820)Instruction limit reached!
% 0.21/0.54 % (13820)------------------------------
% 0.21/0.54 % (13820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (13820)Termination reason: Unknown
% 0.21/0.54 % (13820)Termination phase: shuffling
% 0.21/0.54
% 0.21/0.54 % (13820)Memory used [KB]: 1023
% 0.21/0.54 % (13820)Time elapsed: 0.004 s
% 0.21/0.54 % (13820)Instructions burned: 3 (million)
% 0.21/0.54 % (13820)------------------------------
% 0.21/0.54 % (13820)------------------------------
% 0.21/0.55 % (13817)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.21/0.55 % (13818)Instruction limit reached!
% 0.21/0.55 % (13818)------------------------------
% 0.21/0.55 % (13818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (13818)Termination reason: Unknown
% 0.21/0.55 % (13818)Termination phase: Property scanning
% 0.21/0.55
% 0.21/0.55 % (13818)Memory used [KB]: 1023
% 0.21/0.55 % (13818)Time elapsed: 0.005 s
% 0.21/0.55 % (13818)Instructions burned: 5 (million)
% 0.21/0.55 % (13818)------------------------------
% 0.21/0.55 % (13818)------------------------------
% 0.21/0.55 % (13824)Instruction limit reached!
% 0.21/0.55 % (13824)------------------------------
% 0.21/0.55 % (13824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (13824)Termination reason: Unknown
% 0.21/0.55 % (13824)Termination phase: shuffling
% 0.21/0.55
% 0.21/0.55 % (13824)Memory used [KB]: 1023
% 0.21/0.55 % (13824)Time elapsed: 0.004 s
% 0.21/0.55 % (13824)Instructions burned: 3 (million)
% 0.21/0.55 % (13824)------------------------------
% 0.21/0.55 % (13824)------------------------------
% 0.21/0.55 % (13822)Refutation not found, incomplete strategy
% 0.21/0.55 % (13822)------------------------------
% 0.21/0.55 % (13822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (13822)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55
% 0.21/0.55 % (13822)Memory used [KB]: 5628
% 0.21/0.55 % (13822)Time elapsed: 0.010 s
% 0.21/0.55 % (13822)Instructions burned: 11 (million)
% 0.21/0.55 % (13822)------------------------------
% 0.21/0.55 % (13822)------------------------------
% 0.21/0.55 % (13825)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 (2998ds/37Mi)
% 0.21/0.55 % (13823)Instruction limit reached!
% 0.21/0.55 % (13823)------------------------------
% 0.21/0.55 % (13823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (13823)Termination reason: Unknown
% 0.21/0.55 % (13823)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (13823)Memory used [KB]: 5628
% 0.21/0.55 % (13823)Time elapsed: 0.013 s
% 0.21/0.55 % (13823)Instructions burned: 18 (million)
% 0.21/0.55 % (13823)------------------------------
% 0.21/0.55 % (13823)------------------------------
% 0.53/0.56 % (13819)Instruction limit reached!
% 0.53/0.56 % (13819)------------------------------
% 0.53/0.56 % (13819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.53/0.56 % (13819)Termination reason: Unknown
% 0.53/0.56 % (13819)Termination phase: Saturation
% 0.53/0.56
% 0.53/0.56 % (13819)Memory used [KB]: 5756
% 0.53/0.56 % (13819)Time elapsed: 0.018 s
% 0.53/0.56 % (13826)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 (2998ds/15Mi)
% 0.53/0.56 % (13819)Instructions burned: 27 (million)
% 0.53/0.56 % (13819)------------------------------
% 0.53/0.56 % (13819)------------------------------
% 0.53/0.56 % (13817)First to succeed.
% 0.53/0.56 % (13828)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 (2998ds/1041Mi)
% 0.53/0.56 % (13817)Refutation found. Thanks to Tanya!
% 0.53/0.56 % SZS status Theorem for theBenchmark
% 0.53/0.56 % SZS output start Proof for theBenchmark
% 0.53/0.56 thf(type_def_5, type, mu: $tType).
% 0.53/0.56 thf(func_def_0, type, mu: $tType).
% 0.53/0.56 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.53/0.56 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_15, type, mtrue: $i > $o).
% 0.53/0.56 thf(func_def_16, type, mfalse: $i > $o).
% 0.53/0.56 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.53/0.56 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.53/0.56 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.53/0.56 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.53/0.56 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.53/0.56 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.53/0.56 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.53/0.56 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.53/0.56 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.53/0.56 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.53/0.56 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.53/0.56 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.53/0.56 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.53/0.56 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.53/0.56 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.53/0.56 thf(func_def_33, type, rel_s4: $i > $i > $o).
% 0.53/0.57 thf(func_def_34, type, mbox_s4: ($i > $o) > $i > $o).
% 0.53/0.57 thf(func_def_35, type, mdia_s4: ($i > $o) > $i > $o).
% 0.53/0.57 thf(func_def_36, type, p: $i > $o).
% 0.53/0.57 thf(func_def_37, type, q: $i > $o).
% 0.53/0.57 thf(func_def_55, type, sK2: $i > $i).
% 0.53/0.57 thf(f348,plain,(
% 0.53/0.57 $false),
% 0.53/0.57 inference(avatar_sat_refutation,[],[f235,f335,f341,f347])).
% 0.53/0.57 thf(f347,plain,(
% 0.53/0.57 ~spl0_4),
% 0.53/0.57 inference(avatar_contradiction_clause,[],[f346])).
% 0.53/0.57 thf(f346,plain,(
% 0.53/0.57 $false | ~spl0_4),
% 0.53/0.57 inference(trivial_inequality_removal,[],[f343])).
% 0.53/0.57 thf(f343,plain,(
% 0.53/0.57 ($false = $true) | ~spl0_4),
% 0.53/0.57 inference(superposition,[],[f191,f233])).
% 0.53/0.57 thf(f233,plain,(
% 0.53/0.57 ($true = (p @ sK3)) | ~spl0_4),
% 0.53/0.57 inference(avatar_component_clause,[],[f231])).
% 0.53/0.57 thf(f231,plain,(
% 0.53/0.57 spl0_4 <=> ($true = (p @ sK3))),
% 0.53/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.53/0.57 thf(f191,plain,(
% 0.53/0.57 ($false = (p @ sK3))),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f190])).
% 0.53/0.57 thf(f190,plain,(
% 0.53/0.57 ($false = ((~ (rel_s4 @ sK1 @ sK3)) | (p @ sK3)))),
% 0.53/0.57 inference(beta_eta_normalization,[],[f189])).
% 0.53/0.57 thf(f189,plain,(
% 0.53/0.57 ($false = ((^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | (p @ Y0))) @ sK3))),
% 0.53/0.57 inference(sigma_clausification,[],[f188])).
% 0.53/0.57 thf(f188,plain,(
% 0.53/0.57 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | (p @ Y0)))))),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f172])).
% 0.53/0.57 thf(f172,plain,(
% 0.53/0.57 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | (~ (q @ Y0))))))))),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f171])).
% 0.53/0.57 thf(f171,plain,(
% 0.53/0.57 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | ((p @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (~ (q @ Y1))))))))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | (p @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | (~ (q @ Y0)))))))))),
% 0.53/0.57 inference(beta_eta_normalization,[],[f170])).
% 0.53/0.57 thf(f170,plain,(
% 0.53/0.57 (((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((p @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (~ (q @ Y2))))))))))) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (~ (q @ Y1))))))))) @ sK1) = $false)),
% 0.53/0.57 inference(sigma_clausification,[],[f169])).
% 0.53/0.57 thf(f169,plain,(
% 0.53/0.57 ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((p @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (~ (q @ Y2))))))))))) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (p @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (~ (q @ Y1)))))))))) != $true)),
% 0.53/0.57 inference(beta_eta_normalization,[],[f155])).
% 0.53/0.57 thf(f155,plain,(
% 0.53/0.57 ($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_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))) @ p @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ Y0)))) @ q))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ p) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ Y0)))) @ q)))))),
% 0.53/0.57 inference(definition_unfolding,[],[f123,f139,f145,f120,f132,f153,f132,f120,f153])).
% 0.53/0.57 thf(f153,plain,(
% 0.53/0.57 (mdia_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ Y0)))))),
% 0.53/0.57 inference(definition_unfolding,[],[f109,f137,f120,f137])).
% 0.53/0.57 thf(f137,plain,(
% 0.53/0.57 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.53/0.57 inference(cnf_transformation,[],[f90])).
% 0.53/0.57 thf(f90,plain,(
% 0.53/0.57 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.53/0.57 inference(fool_elimination,[],[f89])).
% 0.53/0.57 thf(f89,plain,(
% 0.53/0.57 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.53/0.57 inference(rectify,[],[f3])).
% 0.53/0.57 thf(f3,axiom,(
% 0.53/0.57 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 0.53/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.53/0.57 thf(f109,plain,(
% 0.53/0.57 (mdia_s4 = (^[Y0 : $i > $o]: (mnot @ (mbox_s4 @ (mnot @ Y0)))))),
% 0.53/0.57 inference(cnf_transformation,[],[f103])).
% 0.53/0.57 thf(f103,plain,(
% 0.53/0.57 (mdia_s4 = (^[Y0 : $i > $o]: (mnot @ (mbox_s4 @ (mnot @ Y0)))))),
% 0.53/0.57 inference(fool_elimination,[],[f102])).
% 0.53/0.57 thf(f102,plain,(
% 0.53/0.57 ((^[X0 : $i > $o] : (mnot @ (mbox_s4 @ (mnot @ X0)))) = mdia_s4)),
% 0.53/0.57 inference(rectify,[],[f33])).
% 0.53/0.57 thf(f33,axiom,(
% 0.53/0.57 ((^[X3 : $i > $o] : (mnot @ (mbox_s4 @ (mnot @ X3)))) = mdia_s4)),
% 0.53/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_s4)).
% 0.53/0.57 thf(f132,plain,(
% 0.53/0.57 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.53/0.57 inference(cnf_transformation,[],[f99])).
% 0.53/0.57 thf(f99,plain,(
% 0.53/0.57 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.53/0.57 inference(fool_elimination,[],[f98])).
% 0.53/0.57 thf(f98,plain,(
% 0.53/0.57 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 0.53/0.57 inference(rectify,[],[f4])).
% 0.53/0.57 thf(f4,axiom,(
% 0.53/0.57 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))))),
% 0.53/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.53/0.57 thf(f120,plain,(
% 0.53/0.57 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.53/0.57 inference(cnf_transformation,[],[f95])).
% 0.53/0.57 thf(f95,plain,(
% 0.53/0.57 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.53/0.57 inference(fool_elimination,[],[f94])).
% 0.53/0.57 thf(f94,plain,(
% 0.53/0.57 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : ((X0 @ X2) | ~(rel_s4 @ X1 @ X2)))) = mbox_s4)),
% 0.53/0.57 inference(rectify,[],[f32])).
% 0.53/0.57 thf(f32,axiom,(
% 0.53/0.57 ((^[X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(rel_s4 @ X2 @ X7)))) = mbox_s4)),
% 0.53/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 0.53/0.57 thf(f145,plain,(
% 0.53/0.57 (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)))))),
% 0.53/0.57 inference(definition_unfolding,[],[f115,f132,f137])).
% 0.53/0.57 thf(f115,plain,(
% 0.53/0.57 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.53/0.57 inference(cnf_transformation,[],[f70])).
% 0.53/0.57 thf(f70,plain,(
% 0.53/0.57 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.53/0.57 inference(fool_elimination,[],[f69])).
% 0.53/0.57 thf(f69,plain,(
% 0.53/0.57 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.53/0.57 inference(rectify,[],[f6])).
% 0.53/0.57 thf(f6,axiom,(
% 0.53/0.57 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.53/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.53/0.57 thf(f139,plain,(
% 0.53/0.57 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.53/0.57 inference(cnf_transformation,[],[f58])).
% 0.53/0.57 thf(f58,plain,(
% 0.53/0.57 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.53/0.57 inference(fool_elimination,[],[f57])).
% 0.53/0.57 thf(f57,plain,(
% 0.53/0.57 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.53/0.57 inference(rectify,[],[f28])).
% 0.53/0.57 thf(f28,axiom,(
% 0.53/0.57 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.53/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.53/0.57 thf(f123,plain,(
% 0.53/0.57 ((mvalid @ (mimplies @ (mbox_s4 @ (mor @ p @ (mdia_s4 @ q))) @ (mor @ (mbox_s4 @ p) @ (mdia_s4 @ q)))) != $true)),
% 0.53/0.57 inference(cnf_transformation,[],[f107])).
% 0.53/0.57 thf(f107,plain,(
% 0.53/0.57 ((mvalid @ (mimplies @ (mbox_s4 @ (mor @ p @ (mdia_s4 @ q))) @ (mor @ (mbox_s4 @ p) @ (mdia_s4 @ q)))) != $true)),
% 0.53/0.57 inference(flattening,[],[f88])).
% 0.53/0.57 thf(f88,plain,(
% 0.53/0.57 ~((mvalid @ (mimplies @ (mbox_s4 @ (mor @ p @ (mdia_s4 @ q))) @ (mor @ (mbox_s4 @ p) @ (mdia_s4 @ q)))) = $true)),
% 0.53/0.57 inference(fool_elimination,[],[f87])).
% 0.53/0.57 thf(f87,plain,(
% 0.53/0.57 ~(mvalid @ (mimplies @ (mbox_s4 @ (mor @ p @ (mdia_s4 @ q))) @ (mor @ (mbox_s4 @ p) @ (mdia_s4 @ q))))),
% 0.53/0.57 inference(rectify,[],[f37])).
% 0.53/0.57 thf(f37,negated_conjecture,(
% 0.53/0.57 ~(mvalid @ (mimplies @ (mbox_s4 @ (mor @ p @ (mdia_s4 @ q))) @ (mor @ (mbox_s4 @ p) @ (mdia_s4 @ q))))),
% 0.53/0.57 inference(negated_conjecture,[],[f36])).
% 0.53/0.57 thf(f36,conjecture,(
% 0.53/0.57 (mvalid @ (mimplies @ (mbox_s4 @ (mor @ p @ (mdia_s4 @ q))) @ (mor @ (mbox_s4 @ p) @ (mdia_s4 @ q))))),
% 0.53/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove)).
% 0.53/0.57 thf(f341,plain,(
% 0.53/0.57 ~spl0_3 | ~spl0_9),
% 0.53/0.57 inference(avatar_contradiction_clause,[],[f340])).
% 0.53/0.57 thf(f340,plain,(
% 0.53/0.57 $false | (~spl0_3 | ~spl0_9)),
% 0.53/0.57 inference(trivial_inequality_removal,[],[f337])).
% 0.53/0.57 thf(f337,plain,(
% 0.53/0.57 ($false = $true) | (~spl0_3 | ~spl0_9)),
% 0.53/0.57 inference(superposition,[],[f229,f333])).
% 0.53/0.57 thf(f333,plain,(
% 0.53/0.57 ($false = (q @ (sK2 @ sK3))) | ~spl0_9),
% 0.53/0.57 inference(avatar_component_clause,[],[f331])).
% 0.53/0.57 thf(f331,plain,(
% 0.53/0.57 spl0_9 <=> ($false = (q @ (sK2 @ sK3)))),
% 0.53/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.53/0.57 thf(f229,plain,(
% 0.53/0.57 ((q @ (sK2 @ sK3)) = $true) | ~spl0_3),
% 0.53/0.57 inference(avatar_component_clause,[],[f227])).
% 0.53/0.57 thf(f227,plain,(
% 0.53/0.57 spl0_3 <=> ((q @ (sK2 @ sK3)) = $true)),
% 0.53/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.53/0.57 thf(f335,plain,(
% 0.53/0.57 spl0_9 | spl0_4),
% 0.53/0.57 inference(avatar_split_clause,[],[f326,f231,f331])).
% 0.53/0.57 thf(f326,plain,(
% 0.53/0.57 ($true = (p @ sK3)) | ($false = (q @ (sK2 @ sK3)))),
% 0.53/0.57 inference(trivial_inequality_removal,[],[f319])).
% 0.53/0.57 thf(f319,plain,(
% 0.53/0.57 ($false = (q @ (sK2 @ sK3))) | ($false = $true) | ($true = (p @ sK3))),
% 0.53/0.57 inference(superposition,[],[f193,f310])).
% 0.53/0.57 thf(f310,plain,(
% 0.53/0.57 ( ! [X0 : $i] : (($false = (rel_s4 @ sK1 @ X0)) | ($false = (q @ (sK2 @ X0))) | ((p @ X0) = $true)) )),
% 0.53/0.57 inference(trivial_inequality_removal,[],[f309])).
% 0.53/0.57 thf(f309,plain,(
% 0.53/0.57 ( ! [X0 : $i] : (((p @ X0) = $true) | ($false = (rel_s4 @ sK1 @ X0)) | ($false = (q @ (sK2 @ X0))) | ($false = $true)) )),
% 0.53/0.57 inference(duplicate_literal_removal,[],[f294])).
% 0.53/0.57 thf(f294,plain,(
% 0.53/0.57 ( ! [X0 : $i] : (($false = (rel_s4 @ sK1 @ X0)) | ((p @ X0) = $true) | ($false = (q @ (sK2 @ X0))) | ($false = $true) | ($false = (rel_s4 @ sK1 @ X0))) )),
% 0.53/0.57 inference(superposition,[],[f272,f199])).
% 0.53/0.57 thf(f199,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | ($false = (q @ X1))) )),
% 0.53/0.57 inference(not_proxy_clausification,[],[f198])).
% 0.53/0.57 thf(f198,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (((~ (rel_s4 @ sK1 @ X1)) = $true) | ($false = (q @ X1))) )),
% 0.53/0.57 inference(not_proxy_clausification,[],[f197])).
% 0.53/0.57 thf(f197,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (((~ (q @ X1)) = $true) | ((~ (rel_s4 @ sK1 @ X1)) = $true)) )),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f196])).
% 0.53/0.57 thf(f196,plain,(
% 0.53/0.57 ( ! [X1 : $i] : ((((~ (rel_s4 @ sK1 @ X1)) | (~ (q @ X1))) = $true)) )),
% 0.53/0.57 inference(beta_eta_normalization,[],[f195])).
% 0.53/0.57 thf(f195,plain,(
% 0.53/0.57 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | (~ (q @ Y0)))) @ X1) = $true)) )),
% 0.53/0.57 inference(pi_clausification,[],[f194])).
% 0.53/0.57 thf(f194,plain,(
% 0.53/0.57 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | (~ (q @ Y0))))) = $true)),
% 0.53/0.57 inference(not_proxy_clausification,[],[f187])).
% 0.53/0.57 thf(f187,plain,(
% 0.53/0.57 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | (~ (q @ Y0)))))))),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f172])).
% 0.53/0.57 thf(f272,plain,(
% 0.53/0.57 ( ! [X0 : $i,X1 : $i] : (($true = (rel_s4 @ X1 @ (sK2 @ X0))) | ((p @ X0) = $true) | ($false = (rel_s4 @ sK1 @ X0)) | ($false = (rel_s4 @ X1 @ X0))) )),
% 0.53/0.57 inference(trivial_inequality_removal,[],[f265])).
% 0.53/0.57 thf(f265,plain,(
% 0.53/0.57 ( ! [X0 : $i,X1 : $i] : (((p @ X0) = $true) | ($false = (rel_s4 @ X1 @ X0)) | ($true = (rel_s4 @ X1 @ (sK2 @ X0))) | ($false = (rel_s4 @ sK1 @ X0)) | ($false = $true)) )),
% 0.53/0.57 inference(superposition,[],[f165,f185])).
% 0.53/0.57 thf(f185,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (($true = (rel_s4 @ X1 @ (sK2 @ X1))) | ($false = (rel_s4 @ sK1 @ X1)) | ((p @ X1) = $true)) )),
% 0.53/0.57 inference(not_proxy_clausification,[],[f184])).
% 0.53/0.57 thf(f184,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | ($false = (~ (rel_s4 @ X1 @ (sK2 @ X1)))) | ((p @ X1) = $true)) )),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f182])).
% 0.53/0.57 thf(f182,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | ((p @ X1) = $true) | ($false = ((~ (rel_s4 @ X1 @ (sK2 @ X1))) | (~ (q @ (sK2 @ X1)))))) )),
% 0.53/0.57 inference(beta_eta_normalization,[],[f181])).
% 0.53/0.57 thf(f181,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | ((p @ X1) = $true) | ($false = ((^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (~ (q @ Y0)))) @ (sK2 @ X1)))) )),
% 0.53/0.57 inference(sigma_clausification,[],[f180])).
% 0.53/0.57 thf(f180,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (~ (q @ Y0)))))) | ($false = (rel_s4 @ sK1 @ X1)) | ((p @ X1) = $true)) )),
% 0.53/0.57 inference(not_proxy_clausification,[],[f179])).
% 0.53/0.57 thf(f179,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (((~ (rel_s4 @ sK1 @ X1)) = $true) | ((p @ X1) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (~ (q @ Y0))))))) )),
% 0.53/0.57 inference(not_proxy_clausification,[],[f178])).
% 0.53/0.57 thf(f178,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (~ (q @ Y0))))))) | ((p @ X1) = $true) | ((~ (rel_s4 @ sK1 @ X1)) = $true)) )),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f177])).
% 0.53/0.57 thf(f177,plain,(
% 0.53/0.57 ( ! [X1 : $i] : ((((p @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (~ (q @ Y0))))))) = $true) | ((~ (rel_s4 @ sK1 @ X1)) = $true)) )),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f176])).
% 0.53/0.57 thf(f176,plain,(
% 0.53/0.57 ( ! [X1 : $i] : ((((~ (rel_s4 @ sK1 @ X1)) | ((p @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (~ (q @ Y0)))))))) = $true)) )),
% 0.53/0.57 inference(beta_eta_normalization,[],[f175])).
% 0.53/0.57 thf(f175,plain,(
% 0.53/0.57 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | ((p @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (~ (q @ Y1))))))))) @ X1) = $true)) )),
% 0.53/0.57 inference(pi_clausification,[],[f174])).
% 0.53/0.57 thf(f174,plain,(
% 0.53/0.57 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | ((p @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (~ (q @ Y1)))))))))))),
% 0.53/0.57 inference(not_proxy_clausification,[],[f173])).
% 0.53/0.57 thf(f173,plain,(
% 0.53/0.57 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK1 @ Y0)) | ((p @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (~ (q @ Y1))))))))))))),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f171])).
% 0.53/0.57 thf(f165,plain,(
% 0.53/0.57 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (rel_s4 @ X3 @ X2)) | ((rel_s4 @ X1 @ X2) = $true) | ($false = (rel_s4 @ X1 @ X3))) )),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f164])).
% 0.53/0.57 thf(f164,plain,(
% 0.53/0.57 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((rel_s4 @ X3 @ X2) & (rel_s4 @ X1 @ X3))) | ((rel_s4 @ X1 @ X2) = $true)) )),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f163])).
% 0.53/0.57 thf(f163,plain,(
% 0.53/0.57 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((rel_s4 @ X3 @ X2) & (rel_s4 @ X1 @ X3)) => (rel_s4 @ X1 @ X2)) = $true)) )),
% 0.53/0.57 inference(beta_eta_normalization,[],[f162])).
% 0.53/0.57 thf(f162,plain,(
% 0.53/0.57 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((rel_s4 @ Y0 @ X2) & (rel_s4 @ X1 @ Y0)) => (rel_s4 @ X1 @ X2))) @ X3) = $true)) )),
% 0.53/0.57 inference(pi_clausification,[],[f161])).
% 0.53/0.57 thf(f161,plain,(
% 0.53/0.57 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((rel_s4 @ Y0 @ X2) & (rel_s4 @ X1 @ Y0)) => (rel_s4 @ X1 @ X2)))) = $true)) )),
% 0.53/0.57 inference(beta_eta_normalization,[],[f160])).
% 0.53/0.57 thf(f160,plain,(
% 0.53/0.57 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ Y1 @ Y0) & (rel_s4 @ X1 @ Y1)) => (rel_s4 @ X1 @ Y0))))) @ X2))) )),
% 0.53/0.57 inference(pi_clausification,[],[f159])).
% 0.53/0.57 thf(f159,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s4 @ Y1 @ Y0) & (rel_s4 @ X1 @ Y1)) => (rel_s4 @ X1 @ Y0)))))) = $true)) )),
% 0.53/0.57 inference(beta_eta_normalization,[],[f158])).
% 0.53/0.57 thf(f158,plain,(
% 0.53/0.57 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y2 @ Y1) & (rel_s4 @ Y0 @ Y2)) => (rel_s4 @ Y0 @ Y1))))))) @ X1) = $true)) )),
% 0.53/0.57 inference(pi_clausification,[],[f157])).
% 0.53/0.57 thf(f157,plain,(
% 0.53/0.57 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s4 @ Y2 @ Y1) & (rel_s4 @ Y0 @ Y2)) => (rel_s4 @ Y0 @ Y1)))))))) = $true)),
% 0.53/0.57 inference(beta_eta_normalization,[],[f154])).
% 0.53/0.57 thf(f154,plain,(
% 0.53/0.57 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))) @ rel_s4) = $true)),
% 0.53/0.57 inference(definition_unfolding,[],[f112,f116])).
% 0.53/0.57 thf(f116,plain,(
% 0.53/0.57 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))))),
% 0.53/0.57 inference(cnf_transformation,[],[f44])).
% 0.53/0.57 thf(f44,plain,(
% 0.53/0.57 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))))),
% 0.53/0.57 inference(fool_elimination,[],[f43])).
% 0.53/0.57 thf(f43,plain,(
% 0.53/0.57 (mtransitive = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X3 @ X1) & (X0 @ X1 @ X2)) => (X0 @ X3 @ X2)))))),
% 0.53/0.57 inference(rectify,[],[f21])).
% 0.53/0.57 thf(f21,axiom,(
% 0.53/0.57 (mtransitive = (^[X6 : $i > $i > $o] : (! [X9,X10,X8] : (((X6 @ X8 @ X9) & (X6 @ X9 @ X10)) => (X6 @ X8 @ X10)))))),
% 0.53/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive)).
% 0.53/0.57 thf(f112,plain,(
% 0.53/0.57 ((mtransitive @ rel_s4) = $true)),
% 0.53/0.57 inference(cnf_transformation,[],[f54])).
% 0.53/0.57 thf(f54,plain,(
% 0.53/0.57 ((mtransitive @ rel_s4) = $true)),
% 0.53/0.57 inference(fool_elimination,[],[f53])).
% 0.53/0.57 thf(f53,plain,(
% 0.53/0.57 (mtransitive @ rel_s4)),
% 0.53/0.57 inference(rectify,[],[f35])).
% 0.53/0.57 thf(f35,axiom,(
% 0.53/0.57 (mtransitive @ rel_s4)),
% 0.53/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2)).
% 0.53/0.57 thf(f193,plain,(
% 0.53/0.57 ($true = (rel_s4 @ sK1 @ sK3))),
% 0.53/0.57 inference(not_proxy_clausification,[],[f192])).
% 0.53/0.57 thf(f192,plain,(
% 0.53/0.57 ($false = (~ (rel_s4 @ sK1 @ sK3)))),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f190])).
% 0.53/0.57 thf(f235,plain,(
% 0.53/0.57 spl0_3 | spl0_4),
% 0.53/0.57 inference(avatar_split_clause,[],[f212,f231,f227])).
% 0.53/0.57 thf(f212,plain,(
% 0.53/0.57 ($true = (p @ sK3)) | ((q @ (sK2 @ sK3)) = $true)),
% 0.53/0.57 inference(trivial_inequality_removal,[],[f211])).
% 0.53/0.57 thf(f211,plain,(
% 0.53/0.57 ((q @ (sK2 @ sK3)) = $true) | ($true = (p @ sK3)) | ($false = $true)),
% 0.53/0.57 inference(superposition,[],[f193,f186])).
% 0.53/0.57 thf(f186,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | ((p @ X1) = $true) | ($true = (q @ (sK2 @ X1)))) )),
% 0.53/0.57 inference(not_proxy_clausification,[],[f183])).
% 0.53/0.57 thf(f183,plain,(
% 0.53/0.57 ( ! [X1 : $i] : (($false = (rel_s4 @ sK1 @ X1)) | ($false = (~ (q @ (sK2 @ X1)))) | ((p @ X1) = $true)) )),
% 0.53/0.57 inference(binary_proxy_clausification,[],[f182])).
% 0.53/0.57 % SZS output end Proof for theBenchmark
% 0.53/0.57 % (13817)------------------------------
% 0.53/0.57 % (13817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.53/0.57 % (13817)Termination reason: Refutation
% 0.53/0.57
% 0.53/0.57 % (13817)Memory used [KB]: 5756
% 0.53/0.57 % (13817)Time elapsed: 0.019 s
% 0.53/0.57 % (13817)Instructions burned: 22 (million)
% 0.53/0.57 % (13817)------------------------------
% 0.53/0.57 % (13817)------------------------------
% 0.53/0.57 % (13682)Success in time 0.19 s
% 0.53/0.57 % Vampire---4.8 exiting
%------------------------------------------------------------------------------