TSTP Solution File: SYO451^6 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO451^6 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 09:04:33 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO451^6 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 10:14:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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
% 0.21/0.37 % (31165)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37 % (31164)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)
% 0.21/0.37 % (31162)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.37 % (31167)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)
% 0.21/0.37 % (31166)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)
% 0.21/0.37 % (31168)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37 % (31165)Instruction limit reached!
% 0.21/0.37 % (31165)------------------------------
% 0.21/0.37 % (31165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (31165)Termination reason: Unknown
% 0.21/0.37 % (31165)Termination phase: shuffling
% 0.21/0.37 % (31166)Instruction limit reached!
% 0.21/0.37 % (31166)------------------------------
% 0.21/0.37 % (31166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (31166)Termination reason: Unknown
% 0.21/0.37 % (31166)Termination phase: shuffling
% 0.21/0.37
% 0.21/0.37 % (31166)Memory used [KB]: 1023
% 0.21/0.37 % (31166)Time elapsed: 0.003 s
% 0.21/0.37 % (31166)Instructions burned: 2 (million)
% 0.21/0.37 % (31166)------------------------------
% 0.21/0.37 % (31166)------------------------------
% 0.21/0.37
% 0.21/0.37 % (31165)Memory used [KB]: 1023
% 0.21/0.37 % (31165)Time elapsed: 0.003 s
% 0.21/0.37 % (31165)Instructions burned: 2 (million)
% 0.21/0.37 % (31165)------------------------------
% 0.21/0.37 % (31165)------------------------------
% 0.21/0.38 % (31169)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)
% 0.21/0.38 % (31167)Refutation not found, incomplete strategy
% 0.21/0.38 % (31167)------------------------------
% 0.21/0.38 % (31167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (31167)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38
% 0.21/0.38 % (31167)Memory used [KB]: 5628
% 0.21/0.38 % (31167)Time elapsed: 0.009 s
% 0.21/0.38 % (31167)Instructions burned: 12 (million)
% 0.21/0.38 % (31167)------------------------------
% 0.21/0.38 % (31167)------------------------------
% 0.21/0.38 % (31169)Instruction limit reached!
% 0.21/0.38 % (31169)------------------------------
% 0.21/0.38 % (31169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (31169)Termination reason: Unknown
% 0.21/0.38 % (31169)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (31169)Memory used [KB]: 1023
% 0.21/0.38 % (31169)Time elapsed: 0.004 s
% 0.21/0.38 % (31169)Instructions burned: 4 (million)
% 0.21/0.38 % (31169)------------------------------
% 0.21/0.38 % (31169)------------------------------
% 0.21/0.38 % (31163)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)
% 0.21/0.38 % (31163)Instruction limit reached!
% 0.21/0.38 % (31163)------------------------------
% 0.21/0.38 % (31163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (31163)Termination reason: Unknown
% 0.21/0.38 % (31163)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (31163)Memory used [KB]: 1023
% 0.21/0.38 % (31163)Time elapsed: 0.004 s
% 0.21/0.38 % (31163)Instructions burned: 4 (million)
% 0.21/0.38 % (31163)------------------------------
% 0.21/0.38 % (31163)------------------------------
% 0.21/0.38 % (31168)Instruction limit reached!
% 0.21/0.38 % (31168)------------------------------
% 0.21/0.38 % (31168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (31168)Termination reason: Unknown
% 0.21/0.38 % (31168)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (31168)Memory used [KB]: 5628
% 0.21/0.38 % (31168)Time elapsed: 0.013 s
% 0.21/0.38 % (31168)Instructions burned: 18 (million)
% 0.21/0.38 % (31168)------------------------------
% 0.21/0.38 % (31168)------------------------------
% 0.21/0.38 % (31171)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)
% 0.21/0.39 % (31164)First to succeed.
% 0.21/0.39 % (31170)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)
% 0.21/0.39 % (31162)Also succeeded, but the first one will report.
% 0.21/0.39 % (31164)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% 0.21/0.39 thf(type_def_5, type, mu: $tType).
% 0.21/0.39 thf(func_def_0, type, mu: $tType).
% 0.21/0.39 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.21/0.39 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_15, type, mtrue: $i > $o).
% 0.21/0.39 thf(func_def_16, type, mfalse: $i > $o).
% 0.21/0.39 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.21/0.39 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.21/0.39 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.21/0.39 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.21/0.39 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.21/0.39 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.21/0.39 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.21/0.39 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.21/0.39 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.21/0.39 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.21/0.39 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.21/0.39 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.21/0.39 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.21/0.39 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.21/0.39 thf(func_def_33, type, rel_s5: $i > $i > $o).
% 0.21/0.39 thf(func_def_34, type, mbox_s5: ($i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_35, type, mdia_s5: ($i > $o) > $i > $o).
% 0.21/0.39 thf(func_def_36, type, p: $i > $o).
% 0.21/0.39 thf(func_def_37, type, q: $i > $o).
% 0.21/0.39 thf(func_def_38, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.21/0.39 thf(func_def_56, type, sK2: $i > $i).
% 0.21/0.39 thf(f371,plain,(
% 0.21/0.39 $false),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f362])).
% 0.21/0.39 thf(f362,plain,(
% 0.21/0.39 ($true = $false)),
% 0.21/0.39 inference(backward_demodulation,[],[f192,f357])).
% 0.21/0.39 thf(f357,plain,(
% 0.21/0.39 ((rel_s5 @ sK1 @ sK3) = $false)),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f356])).
% 0.21/0.39 thf(f356,plain,(
% 0.21/0.39 ($true = $false) | ((rel_s5 @ sK1 @ sK3) = $false)),
% 0.21/0.39 inference(forward_demodulation,[],[f355,f247])).
% 0.21/0.39 thf(f247,plain,(
% 0.21/0.39 ($true = (q @ (sK2 @ sK3)))),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f246])).
% 0.21/0.39 thf(f246,plain,(
% 0.21/0.39 ($true = (q @ (sK2 @ sK3))) | ($true = $false)),
% 0.21/0.39 inference(forward_demodulation,[],[f244,f191])).
% 0.21/0.39 thf(f191,plain,(
% 0.21/0.39 ((p @ sK3) = $false)),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f189])).
% 0.21/0.39 thf(f189,plain,(
% 0.21/0.39 (((p @ sK3) | (~ (rel_s5 @ sK1 @ sK3))) = $false)),
% 0.21/0.39 inference(beta_eta_normalization,[],[f188])).
% 0.21/0.39 thf(f188,plain,(
% 0.21/0.39 (((^[Y0 : $i]: ((p @ Y0) | (~ (rel_s5 @ sK1 @ Y0)))) @ sK3) = $false)),
% 0.21/0.39 inference(sigma_clausification,[],[f187])).
% 0.21/0.39 thf(f187,plain,(
% 0.21/0.39 ((!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s5 @ sK1 @ Y0))))) = $false)),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f171])).
% 0.21/0.39 thf(f171,plain,(
% 0.21/0.39 (((!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s5 @ sK1 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (q @ Y0)) | (~ (rel_s5 @ sK1 @ Y0))))))) = $false)),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f170])).
% 0.21/0.39 thf(f170,plain,(
% 0.21/0.39 (((~ (!! @ $i @ (^[Y0 : $i]: (((p @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (q @ Y1)) | (~ (rel_s5 @ Y0 @ Y1))))))) | (~ (rel_s5 @ sK1 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((p @ Y0) | (~ (rel_s5 @ sK1 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (q @ Y0)) | (~ (rel_s5 @ sK1 @ Y0)))))))) = $false)),
% 0.21/0.39 inference(beta_eta_normalization,[],[f169])).
% 0.21/0.39 thf(f169,plain,(
% 0.21/0.39 (((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: (((p @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (q @ Y2)) | (~ (rel_s5 @ Y1 @ Y2))))))) | (~ (rel_s5 @ Y0 @ Y1)))))) | ((!! @ $i @ (^[Y1 : $i]: ((p @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (q @ Y1)) | (~ (rel_s5 @ Y0 @ Y1))))))))) @ sK1) = $false)),
% 0.21/0.39 inference(sigma_clausification,[],[f168])).
% 0.21/0.39 thf(f168,plain,(
% 0.21/0.39 ($true != (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: (((p @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (q @ Y2)) | (~ (rel_s5 @ Y1 @ Y2))))))) | (~ (rel_s5 @ Y0 @ Y1)))))) | ((!! @ $i @ (^[Y1 : $i]: ((p @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (q @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))))))))),
% 0.21/0.39 inference(beta_eta_normalization,[],[f161])).
% 0.21/0.39 thf(f161,plain,(
% 0.21/0.39 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ 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]: ((Y1 @ Y3) | (~ (rel_s5 @ Y2 @ 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]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))) @ p) @ ((^[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)))) @ q)))))),
% 0.21/0.39 inference(definition_unfolding,[],[f141,f140,f149,f115,f129,f157,f129,f115,f157])).
% 0.21/0.39 thf(f157,plain,(
% 0.21/0.39 (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)))))),
% 0.21/0.39 inference(definition_unfolding,[],[f139,f123,f115,f123])).
% 0.21/0.39 thf(f123,plain,(
% 0.21/0.39 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.39 inference(cnf_transformation,[],[f54])).
% 0.21/0.39 thf(f54,plain,(
% 0.21/0.39 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.39 inference(fool_elimination,[],[f53])).
% 0.21/0.39 thf(f53,plain,(
% 0.21/0.39 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.21/0.39 inference(rectify,[],[f3])).
% 0.21/0.39 thf(f3,axiom,(
% 0.21/0.39 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.21/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.21/0.39 thf(f139,plain,(
% 0.21/0.39 (mdia_s5 = (^[Y0 : $i > $o]: (mnot @ (mbox_s5 @ (mnot @ Y0)))))),
% 0.21/0.39 inference(cnf_transformation,[],[f76])).
% 0.21/0.39 thf(f76,plain,(
% 0.21/0.39 (mdia_s5 = (^[Y0 : $i > $o]: (mnot @ (mbox_s5 @ (mnot @ Y0)))))),
% 0.21/0.39 inference(fool_elimination,[],[f75])).
% 0.21/0.39 thf(f75,plain,(
% 0.21/0.39 ((^[X0 : $i > $o] : (mnot @ (mbox_s5 @ (mnot @ X0)))) = mdia_s5)),
% 0.21/0.39 inference(rectify,[],[f33])).
% 0.21/0.39 thf(f33,axiom,(
% 0.21/0.39 ((^[X3 : $i > $o] : (mnot @ (mbox_s5 @ (mnot @ X3)))) = mdia_s5)),
% 0.21/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_s5)).
% 0.21/0.39 thf(f129,plain,(
% 0.21/0.39 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.39 inference(cnf_transformation,[],[f82])).
% 0.21/0.39 thf(f82,plain,(
% 0.21/0.39 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.21/0.39 inference(fool_elimination,[],[f81])).
% 0.21/0.39 thf(f81,plain,(
% 0.21/0.39 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.21/0.39 inference(rectify,[],[f4])).
% 0.21/0.39 thf(f4,axiom,(
% 0.21/0.39 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
% 0.21/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.21/0.39 thf(f115,plain,(
% 0.21/0.39 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))))),
% 0.21/0.39 inference(cnf_transformation,[],[f74])).
% 0.21/0.39 thf(f74,plain,(
% 0.21/0.39 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))))),
% 0.21/0.39 inference(fool_elimination,[],[f73])).
% 0.21/0.39 thf(f73,plain,(
% 0.21/0.39 (mbox_s5 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s5 @ X1 @ X2) | (X0 @ X2)))))),
% 0.21/0.39 inference(rectify,[],[f32])).
% 0.21/0.39 thf(f32,axiom,(
% 0.21/0.39 (mbox_s5 = (^[X3 : $i > $o, X2 : $i] : (! [X7] : (~(rel_s5 @ X2 @ X7) | (X3 @ X7)))))),
% 0.21/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_s5)).
% 0.21/0.39 thf(f149,plain,(
% 0.21/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.21/0.39 inference(definition_unfolding,[],[f113,f129,f123])).
% 0.21/0.39 thf(f113,plain,(
% 0.21/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.39 inference(cnf_transformation,[],[f80])).
% 0.21/0.39 thf(f80,plain,(
% 0.21/0.39 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.39 inference(fool_elimination,[],[f79])).
% 0.21/0.39 thf(f79,plain,(
% 0.21/0.39 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.21/0.39 inference(rectify,[],[f6])).
% 0.21/0.39 thf(f6,axiom,(
% 0.21/0.39 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.21/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 0.21/0.39 thf(f140,plain,(
% 0.21/0.39 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.39 inference(cnf_transformation,[],[f44])).
% 0.21/0.39 thf(f44,plain,(
% 0.21/0.39 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.39 inference(fool_elimination,[],[f43])).
% 0.21/0.39 thf(f43,plain,(
% 0.21/0.39 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.21/0.39 inference(rectify,[],[f28])).
% 0.21/0.39 thf(f28,axiom,(
% 0.21/0.39 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.21/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.21/0.39 thf(f141,plain,(
% 0.21/0.39 ((mvalid @ (mimplies @ (mbox_s5 @ (mor @ p @ (mdia_s5 @ q))) @ (mor @ (mbox_s5 @ p) @ (mdia_s5 @ q)))) != $true)),
% 0.21/0.39 inference(cnf_transformation,[],[f110])).
% 0.21/0.39 thf(f110,plain,(
% 0.21/0.39 ((mvalid @ (mimplies @ (mbox_s5 @ (mor @ p @ (mdia_s5 @ q))) @ (mor @ (mbox_s5 @ p) @ (mdia_s5 @ q)))) != $true)),
% 0.21/0.39 inference(flattening,[],[f103])).
% 0.21/0.39 thf(f103,plain,(
% 0.21/0.39 ~((mvalid @ (mimplies @ (mbox_s5 @ (mor @ p @ (mdia_s5 @ q))) @ (mor @ (mbox_s5 @ p) @ (mdia_s5 @ q)))) = $true)),
% 0.21/0.39 inference(fool_elimination,[],[f102])).
% 0.21/0.39 thf(f102,plain,(
% 0.21/0.39 ~(mvalid @ (mimplies @ (mbox_s5 @ (mor @ p @ (mdia_s5 @ q))) @ (mor @ (mbox_s5 @ p) @ (mdia_s5 @ q))))),
% 0.21/0.39 inference(rectify,[],[f38])).
% 0.21/0.39 thf(f38,negated_conjecture,(
% 0.21/0.39 ~(mvalid @ (mimplies @ (mbox_s5 @ (mor @ p @ (mdia_s5 @ q))) @ (mor @ (mbox_s5 @ p) @ (mdia_s5 @ q))))),
% 0.21/0.39 inference(negated_conjecture,[],[f37])).
% 0.21/0.39 thf(f37,conjecture,(
% 0.21/0.39 (mvalid @ (mimplies @ (mbox_s5 @ (mor @ p @ (mdia_s5 @ q))) @ (mor @ (mbox_s5 @ p) @ (mdia_s5 @ q))))),
% 0.21/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove)).
% 0.21/0.39 thf(f244,plain,(
% 0.21/0.39 ($true = (p @ sK3)) | ($true = (q @ (sK2 @ sK3)))),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f234])).
% 0.21/0.39 thf(f234,plain,(
% 0.21/0.39 ($true = (p @ sK3)) | ($true = $false) | ($true = (q @ (sK2 @ sK3)))),
% 0.21/0.39 inference(superposition,[],[f192,f184])).
% 0.21/0.39 thf(f184,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ($true = (p @ X1)) | ($true = (q @ (sK2 @ X1)))) )),
% 0.21/0.39 inference(not_proxy_clausification,[],[f183])).
% 0.21/0.39 thf(f183,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ((~ (q @ (sK2 @ X1))) = $false) | ($true = (p @ X1))) )),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f181])).
% 0.21/0.39 thf(f181,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = (p @ X1)) | ((rel_s5 @ sK1 @ X1) = $false) | (((~ (q @ (sK2 @ X1))) | (~ (rel_s5 @ X1 @ (sK2 @ X1)))) = $false)) )),
% 0.21/0.39 inference(beta_eta_normalization,[],[f180])).
% 0.21/0.39 thf(f180,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = (p @ X1)) | (((^[Y0 : $i]: ((~ (q @ Y0)) | (~ (rel_s5 @ X1 @ Y0)))) @ (sK2 @ X1)) = $false) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.21/0.39 inference(sigma_clausification,[],[f179])).
% 0.21/0.39 thf(f179,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (q @ Y0)) | (~ (rel_s5 @ X1 @ Y0))))) = $false) | ((rel_s5 @ sK1 @ X1) = $false) | ($true = (p @ X1))) )),
% 0.21/0.39 inference(not_proxy_clausification,[],[f178])).
% 0.21/0.39 thf(f178,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = (p @ X1)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (q @ Y0)) | (~ (rel_s5 @ X1 @ Y0))))))) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f177])).
% 0.21/0.39 thf(f177,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = ((p @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (q @ Y0)) | (~ (rel_s5 @ X1 @ Y0)))))))) | ((rel_s5 @ sK1 @ X1) = $false)) )),
% 0.21/0.39 inference(not_proxy_clausification,[],[f176])).
% 0.21/0.39 thf(f176,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = (~ (rel_s5 @ sK1 @ X1))) | ($true = ((p @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (q @ Y0)) | (~ (rel_s5 @ X1 @ Y0))))))))) )),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f175])).
% 0.21/0.39 thf(f175,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = (((p @ X1) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (q @ Y0)) | (~ (rel_s5 @ X1 @ Y0))))))) | (~ (rel_s5 @ sK1 @ X1))))) )),
% 0.21/0.39 inference(beta_eta_normalization,[],[f174])).
% 0.21/0.39 thf(f174,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (((p @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (q @ Y1)) | (~ (rel_s5 @ Y0 @ Y1))))))) | (~ (rel_s5 @ sK1 @ Y0)))) @ X1))) )),
% 0.21/0.39 inference(pi_clausification,[],[f173])).
% 0.21/0.39 thf(f173,plain,(
% 0.21/0.39 ($true = (!! @ $i @ (^[Y0 : $i]: (((p @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (q @ Y1)) | (~ (rel_s5 @ Y0 @ Y1))))))) | (~ (rel_s5 @ sK1 @ Y0))))))),
% 0.21/0.39 inference(not_proxy_clausification,[],[f172])).
% 0.21/0.39 thf(f172,plain,(
% 0.21/0.39 ((~ (!! @ $i @ (^[Y0 : $i]: (((p @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (q @ Y1)) | (~ (rel_s5 @ Y0 @ Y1))))))) | (~ (rel_s5 @ sK1 @ Y0)))))) = $false)),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f170])).
% 0.21/0.39 thf(f355,plain,(
% 0.21/0.39 ($false = (q @ (sK2 @ sK3))) | ((rel_s5 @ sK1 @ sK3) = $false)),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f354])).
% 0.21/0.39 thf(f354,plain,(
% 0.21/0.39 ($false = (q @ (sK2 @ sK3))) | ((rel_s5 @ sK1 @ sK3) = $false) | ($true = $false)),
% 0.21/0.39 inference(forward_demodulation,[],[f353,f191])).
% 0.21/0.39 thf(f353,plain,(
% 0.21/0.39 ((rel_s5 @ sK1 @ sK3) = $false) | ($true = (p @ sK3)) | ($false = (q @ (sK2 @ sK3)))),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f345])).
% 0.21/0.39 thf(f345,plain,(
% 0.21/0.39 ($true = (p @ sK3)) | ($false = (q @ (sK2 @ sK3))) | ($true = $false) | ((rel_s5 @ sK1 @ sK3) = $false)),
% 0.21/0.39 inference(superposition,[],[f185,f336])).
% 0.21/0.39 thf(f336,plain,(
% 0.21/0.39 ( ! [X0 : $i] : (((rel_s5 @ sK3 @ X0) = $false) | ((q @ X0) = $false)) )),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f321])).
% 0.21/0.39 thf(f321,plain,(
% 0.21/0.39 ( ! [X0 : $i] : (((q @ X0) = $false) | ($true = $false) | ((rel_s5 @ sK3 @ X0) = $false)) )),
% 0.21/0.39 inference(superposition,[],[f192,f223])).
% 0.21/0.39 thf(f223,plain,(
% 0.21/0.39 ( ! [X0 : $i,X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ((rel_s5 @ X1 @ X0) = $false) | ((q @ X0) = $false)) )),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f216])).
% 0.21/0.39 thf(f216,plain,(
% 0.21/0.39 ( ! [X0 : $i,X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ((q @ X0) = $false) | ((rel_s5 @ X1 @ X0) = $false) | ($true = $false)) )),
% 0.21/0.39 inference(superposition,[],[f198,f207])).
% 0.21/0.39 thf(f207,plain,(
% 0.21/0.39 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (rel_s5 @ X1 @ X3)) | ((rel_s5 @ X1 @ X2) = $false) | ((rel_s5 @ X2 @ X3) = $false)) )),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f206])).
% 0.21/0.39 thf(f206,plain,(
% 0.21/0.39 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((rel_s5 @ X2 @ X3) & (rel_s5 @ X1 @ X2)) = $false) | ($true = (rel_s5 @ X1 @ X3))) )),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f205])).
% 0.21/0.39 thf(f205,plain,(
% 0.21/0.39 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((rel_s5 @ X2 @ X3) & (rel_s5 @ X1 @ X2)) => (rel_s5 @ X1 @ X3)))) )),
% 0.21/0.39 inference(beta_eta_normalization,[],[f204])).
% 0.21/0.39 thf(f204,plain,(
% 0.21/0.39 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((rel_s5 @ X2 @ Y0) & (rel_s5 @ X1 @ X2)) => (rel_s5 @ X1 @ Y0))) @ X3))) )),
% 0.21/0.39 inference(pi_clausification,[],[f203])).
% 0.21/0.39 thf(f203,plain,(
% 0.21/0.39 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((rel_s5 @ X2 @ Y0) & (rel_s5 @ X1 @ X2)) => (rel_s5 @ X1 @ Y0)))))) )),
% 0.21/0.39 inference(beta_eta_normalization,[],[f202])).
% 0.21/0.39 thf(f202,plain,(
% 0.21/0.39 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s5 @ Y0 @ Y1) & (rel_s5 @ X1 @ Y0)) => (rel_s5 @ X1 @ Y1))))) @ X2))) )),
% 0.21/0.39 inference(pi_clausification,[],[f201])).
% 0.21/0.39 thf(f201,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s5 @ Y0 @ Y1) & (rel_s5 @ X1 @ Y0)) => (rel_s5 @ X1 @ Y1)))))))) )),
% 0.21/0.39 inference(beta_eta_normalization,[],[f200])).
% 0.21/0.39 thf(f200,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s5 @ Y1 @ Y2) & (rel_s5 @ Y0 @ Y1)) => (rel_s5 @ Y0 @ Y2))))))) @ X1))) )),
% 0.21/0.39 inference(pi_clausification,[],[f199])).
% 0.21/0.39 thf(f199,plain,(
% 0.21/0.39 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s5 @ Y1 @ Y2) & (rel_s5 @ Y0 @ Y1)) => (rel_s5 @ Y0 @ Y2)))))))))),
% 0.21/0.39 inference(beta_eta_normalization,[],[f159])).
% 0.21/0.39 thf(f159,plain,(
% 0.21/0.39 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))) @ rel_s5))),
% 0.21/0.39 inference(definition_unfolding,[],[f131,f134])).
% 0.21/0.39 thf(f134,plain,(
% 0.21/0.39 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))))),
% 0.21/0.39 inference(cnf_transformation,[],[f99])).
% 0.21/0.39 thf(f99,plain,(
% 0.21/0.39 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y3) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y1 @ Y3))))))))))),
% 0.21/0.39 inference(fool_elimination,[],[f98])).
% 0.21/0.39 thf(f98,plain,(
% 0.21/0.39 (mtransitive = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X3 @ X2) & (X0 @ X2 @ X1)) => (X0 @ X3 @ X1)))))),
% 0.21/0.39 inference(rectify,[],[f21])).
% 0.21/0.39 thf(f21,axiom,(
% 0.21/0.39 (mtransitive = (^[X6 : $i > $i > $o] : (! [X10,X9,X8] : (((X6 @ X8 @ X9) & (X6 @ X9 @ X10)) => (X6 @ X8 @ X10)))))),
% 0.21/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtransitive)).
% 0.21/0.39 thf(f131,plain,(
% 0.21/0.39 ((mtransitive @ rel_s5) = $true)),
% 0.21/0.39 inference(cnf_transformation,[],[f101])).
% 0.21/0.39 thf(f101,plain,(
% 0.21/0.39 ((mtransitive @ rel_s5) = $true)),
% 0.21/0.39 inference(fool_elimination,[],[f100])).
% 0.21/0.39 thf(f100,plain,(
% 0.21/0.39 (mtransitive @ rel_s5)),
% 0.21/0.39 inference(rectify,[],[f35])).
% 0.21/0.39 thf(f35,axiom,(
% 0.21/0.39 (mtransitive @ rel_s5)),
% 0.21/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2)).
% 0.21/0.39 thf(f198,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ($false = (q @ X1))) )),
% 0.21/0.39 inference(not_proxy_clausification,[],[f197])).
% 0.21/0.39 thf(f197,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = (~ (rel_s5 @ sK1 @ X1))) | ($false = (q @ X1))) )),
% 0.21/0.39 inference(not_proxy_clausification,[],[f196])).
% 0.21/0.39 thf(f196,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = (~ (q @ X1))) | ($true = (~ (rel_s5 @ sK1 @ X1)))) )),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f195])).
% 0.21/0.39 thf(f195,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = ((~ (q @ X1)) | (~ (rel_s5 @ sK1 @ X1))))) )),
% 0.21/0.39 inference(beta_eta_normalization,[],[f194])).
% 0.21/0.39 thf(f194,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (q @ Y0)) | (~ (rel_s5 @ sK1 @ Y0)))) @ X1))) )),
% 0.21/0.39 inference(pi_clausification,[],[f193])).
% 0.21/0.39 thf(f193,plain,(
% 0.21/0.39 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (q @ Y0)) | (~ (rel_s5 @ sK1 @ Y0))))))),
% 0.21/0.39 inference(not_proxy_clausification,[],[f186])).
% 0.21/0.39 thf(f186,plain,(
% 0.21/0.39 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (q @ Y0)) | (~ (rel_s5 @ sK1 @ Y0)))))) = $false)),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f171])).
% 0.21/0.39 thf(f185,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (($true = (rel_s5 @ X1 @ (sK2 @ X1))) | ((rel_s5 @ sK1 @ X1) = $false) | ($true = (p @ X1))) )),
% 0.21/0.39 inference(not_proxy_clausification,[],[f182])).
% 0.21/0.39 thf(f182,plain,(
% 0.21/0.39 ( ! [X1 : $i] : (((rel_s5 @ sK1 @ X1) = $false) | ($true = (p @ X1)) | ((~ (rel_s5 @ X1 @ (sK2 @ X1))) = $false)) )),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f181])).
% 0.21/0.39 thf(f192,plain,(
% 0.21/0.39 ($true = (rel_s5 @ sK1 @ sK3))),
% 0.21/0.39 inference(not_proxy_clausification,[],[f190])).
% 0.21/0.39 thf(f190,plain,(
% 0.21/0.39 ((~ (rel_s5 @ sK1 @ sK3)) = $false)),
% 0.21/0.39 inference(binary_proxy_clausification,[],[f189])).
% 0.21/0.39 % SZS output end Proof for theBenchmark
% 0.21/0.39 % (31164)------------------------------
% 0.21/0.39 % (31164)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (31164)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (31164)Memory used [KB]: 5756
% 0.21/0.39 % (31164)Time elapsed: 0.022 s
% 0.21/0.39 % (31164)Instructions burned: 26 (million)
% 0.21/0.39 % (31164)------------------------------
% 0.21/0.39 % (31164)------------------------------
% 0.21/0.39 % (31161)Success in time 0.022 s
% 0.21/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------