TSTP Solution File: SYO483^6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO483^6 : 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 : n012.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 09:05:23 EDT 2024
% Result : Theorem 0.23s 0.41s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO483^6 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % 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
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 10:36:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.40 % (19185)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.40 % (19188)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.40 % (19189)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)
% 0.23/0.40 % (19187)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)
% 0.23/0.40 % (19186)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)
% 0.23/0.40 % (19190)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)
% 0.23/0.40 % (19192)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)
% 0.23/0.40 % (19191)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.40 % (19188)Instruction limit reached!
% 0.23/0.40 % (19188)------------------------------
% 0.23/0.40 % (19188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (19188)Termination reason: Unknown
% 0.23/0.40 % (19188)Termination phase: shuffling
% 0.23/0.40 % (19189)Instruction limit reached!
% 0.23/0.40 % (19189)------------------------------
% 0.23/0.40 % (19189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40
% 0.23/0.40 % (19188)Memory used [KB]: 1023
% 0.23/0.40 % (19188)Time elapsed: 0.004 s
% 0.23/0.40 % (19188)Instructions burned: 2 (million)
% 0.23/0.40 % (19188)------------------------------
% 0.23/0.40 % (19188)------------------------------
% 0.23/0.40 % (19189)Termination reason: Unknown
% 0.23/0.40 % (19189)Termination phase: shuffling
% 0.23/0.40
% 0.23/0.40 % (19189)Memory used [KB]: 1023
% 0.23/0.40 % (19189)Time elapsed: 0.004 s
% 0.23/0.40 % (19189)Instructions burned: 2 (million)
% 0.23/0.40 % (19189)------------------------------
% 0.23/0.40 % (19189)------------------------------
% 0.23/0.40 % (19192)Instruction limit reached!
% 0.23/0.40 % (19192)------------------------------
% 0.23/0.40 % (19192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (19192)Termination reason: Unknown
% 0.23/0.40 % (19186)Instruction limit reached!
% 0.23/0.40 % (19186)------------------------------
% 0.23/0.40 % (19186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40 % (19192)Termination phase: shuffling
% 0.23/0.40
% 0.23/0.40 % (19192)Memory used [KB]: 1023
% 0.23/0.40 % (19192)Time elapsed: 0.005 s
% 0.23/0.40 % (19192)Instructions burned: 3 (million)
% 0.23/0.40 % (19192)------------------------------
% 0.23/0.40 % (19192)------------------------------
% 0.23/0.40 % (19186)Termination reason: Unknown
% 0.23/0.40 % (19186)Termination phase: shuffling
% 0.23/0.40
% 0.23/0.40 % (19186)Memory used [KB]: 1023
% 0.23/0.40 % (19186)Time elapsed: 0.006 s
% 0.23/0.40 % (19186)Instructions burned: 4 (million)
% 0.23/0.40 % (19186)------------------------------
% 0.23/0.40 % (19186)------------------------------
% 0.23/0.41 % (19190)First to succeed.
% 0.23/0.41 % (19187)Also succeeded, but the first one will report.
% 0.23/0.41 % (19191)Also succeeded, but the first one will report.
% 0.23/0.41 % (19190)Refutation found. Thanks to Tanya!
% 0.23/0.41 % SZS status Theorem for theBenchmark
% 0.23/0.41 % SZS output start Proof for theBenchmark
% 0.23/0.41 thf(type_def_5, type, mu: $tType).
% 0.23/0.41 thf(func_def_0, type, mu: $tType).
% 0.23/0.41 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.23/0.41 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_15, type, mtrue: $i > $o).
% 0.23/0.41 thf(func_def_16, type, mfalse: $i > $o).
% 0.23/0.41 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.23/0.41 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.23/0.41 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.23/0.41 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.23/0.41 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.23/0.41 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.23/0.41 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.23/0.41 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.23/0.41 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.23/0.41 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.23/0.41 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.23/0.41 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.23/0.41 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.23/0.41 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.23/0.41 thf(func_def_33, type, rel_s5: $i > $i > $o).
% 0.23/0.41 thf(func_def_34, type, mbox_s5: ($i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_35, type, mdia_s5: ($i > $o) > $i > $o).
% 0.23/0.41 thf(func_def_36, type, a: mu).
% 0.23/0.41 thf(func_def_54, type, sK2: mu > $i).
% 0.23/0.41 thf(f134,plain,(
% 0.23/0.41 $false),
% 0.23/0.41 inference(equality_resolution,[],[f133])).
% 0.23/0.41 thf(f133,plain,(
% 0.23/0.41 ( ! [X1 : mu] : ((a != X1)) )),
% 0.23/0.41 inference(equality_proxy_clausification,[],[f130])).
% 0.23/0.41 thf(f130,plain,(
% 0.23/0.41 ( ! [X1 : mu] : (($false = (X1 = a))) )),
% 0.23/0.41 inference(binary_proxy_clausification,[],[f129])).
% 0.23/0.41 thf(f129,plain,(
% 0.23/0.41 ( ! [X1 : mu] : (($false = ((~ (rel_s5 @ sK1 @ (sK2 @ X1))) | (X1 = a)))) )),
% 0.23/0.41 inference(beta_eta_normalization,[],[f128])).
% 0.23/0.41 thf(f128,plain,(
% 0.23/0.41 ( ! [X1 : mu] : (($false = ((^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (X1 = a))) @ (sK2 @ X1)))) )),
% 0.23/0.41 inference(sigma_clausification,[],[f127])).
% 0.23/0.41 thf(f127,plain,(
% 0.23/0.41 ( ! [X1 : mu] : (($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (X1 = a)))))) )),
% 0.23/0.41 inference(not_proxy_clausification,[],[f126])).
% 0.23/0.41 thf(f126,plain,(
% 0.23/0.41 ( ! [X1 : mu] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s5 @ sK1 @ Y0)) | (X1 = a))))) = $true)) )),
% 0.23/0.41 inference(beta_eta_normalization,[],[f125])).
% 0.23/0.41 thf(f125,plain,(
% 0.23/0.41 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ sK1 @ Y1)) | (Y0 = a)))))) @ X1))) )),
% 0.23/0.41 inference(pi_clausification,[],[f124])).
% 0.23/0.41 thf(f124,plain,(
% 0.23/0.41 ($true = (!! @ mu @ (^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ sK1 @ Y1)) | (Y0 = a))))))))),
% 0.23/0.41 inference(not_proxy_clausification,[],[f123])).
% 0.23/0.41 thf(f123,plain,(
% 0.23/0.41 ($false = (~ (!! @ mu @ (^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s5 @ sK1 @ Y1)) | (Y0 = a)))))))))),
% 0.23/0.41 inference(beta_eta_normalization,[],[f122])).
% 0.23/0.41 thf(f122,plain,(
% 0.23/0.41 ($false = ((^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y0 @ Y2)) | (Y1 = a))))))))) @ sK1))),
% 0.23/0.41 inference(sigma_clausification,[],[f121])).
% 0.23/0.41 thf(f121,plain,(
% 0.23/0.41 ($true != (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y0 @ Y2)) | (Y1 = a)))))))))))),
% 0.23/0.41 inference(beta_eta_normalization,[],[f120])).
% 0.23/0.41 thf(f120,plain,(
% 0.23/0.41 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s5 @ Y2 @ Y3)) | (Y1 @ Y3))))))) @ ((^[Y1 : mu]: ((^[Y2 : mu]: ((^[Y3 : $i]: (Y1 = Y2)))))) @ Y0 @ a))))))),
% 0.23/0.41 inference(definition_unfolding,[],[f116,f115,f119,f112,f117])).
% 0.23/0.41 thf(f117,plain,(
% 0.23/0.41 (meq_ind = (^[Y0 : mu]: ((^[Y1 : mu]: ((^[Y2 : $i]: (Y0 = Y1)))))))),
% 0.23/0.41 inference(cnf_transformation,[],[f47])).
% 0.23/0.41 thf(f47,plain,(
% 0.23/0.41 (meq_ind = (^[Y0 : mu]: ((^[Y1 : mu]: ((^[Y2 : $i]: (Y0 = Y1)))))))),
% 0.23/0.41 inference(fool_elimination,[],[f1])).
% 0.23/0.41 thf(f1,axiom,(
% 0.23/0.41 (meq_ind = (^[X0 : mu, X1 : mu, X2 : $i] : ((X0 = X1))))),
% 0.23/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_ind)).
% 0.23/0.41 thf(f112,plain,(
% 0.23/0.41 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.23/0.41 inference(cnf_transformation,[],[f79])).
% 0.23/0.41 thf(f79,plain,(
% 0.23/0.41 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s5 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 0.23/0.41 inference(fool_elimination,[],[f78])).
% 0.23/0.41 thf(f78,plain,(
% 0.23/0.41 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : ((X0 @ X2) | ~(rel_s5 @ X1 @ X2)))) = mbox_s5)),
% 0.23/0.41 inference(rectify,[],[f32])).
% 0.23/0.41 thf(f32,axiom,(
% 0.23/0.41 ((^[X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(rel_s5 @ X2 @ X7)))) = mbox_s5)),
% 0.23/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s5)).
% 0.23/0.41 thf(f119,plain,(
% 0.23/0.41 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))))),
% 0.23/0.41 inference(definition_unfolding,[],[f111,f114,f118,f114])).
% 0.23/0.41 thf(f118,plain,(
% 0.23/0.41 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.23/0.41 inference(cnf_transformation,[],[f44])).
% 0.23/0.41 thf(f44,plain,(
% 0.23/0.41 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.23/0.41 inference(fool_elimination,[],[f43])).
% 0.23/0.41 thf(f43,plain,(
% 0.23/0.41 (mforall_ind = (^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))))),
% 0.23/0.41 inference(rectify,[],[f10])).
% 0.23/0.41 thf(f10,axiom,(
% 0.23/0.41 (mforall_ind = (^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))))),
% 0.23/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
% 0.23/0.41 thf(f114,plain,(
% 0.23/0.41 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.23/0.41 inference(cnf_transformation,[],[f57])).
% 0.23/0.41 thf(f57,plain,(
% 0.23/0.41 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.23/0.41 inference(fool_elimination,[],[f56])).
% 0.23/0.41 thf(f56,plain,(
% 0.23/0.41 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.23/0.41 inference(rectify,[],[f3])).
% 0.23/0.41 thf(f3,axiom,(
% 0.23/0.41 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.23/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.23/0.41 thf(f111,plain,(
% 0.23/0.41 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.23/0.41 inference(cnf_transformation,[],[f46])).
% 0.23/0.41 thf(f46,plain,(
% 0.23/0.41 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.23/0.41 inference(fool_elimination,[],[f45])).
% 0.23/0.41 thf(f45,plain,(
% 0.23/0.41 ((^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))) = mexists_ind)),
% 0.23/0.41 inference(rectify,[],[f12])).
% 0.23/0.41 thf(f12,axiom,(
% 0.23/0.41 ((^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))) = mexists_ind)),
% 0.23/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind)).
% 0.23/0.41 thf(f115,plain,(
% 0.23/0.41 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.41 inference(cnf_transformation,[],[f73])).
% 0.23/0.41 thf(f73,plain,(
% 0.23/0.41 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.41 inference(fool_elimination,[],[f72])).
% 0.23/0.41 thf(f72,plain,(
% 0.23/0.41 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.23/0.41 inference(rectify,[],[f28])).
% 0.23/0.41 thf(f28,axiom,(
% 0.23/0.41 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.23/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.23/0.41 thf(f116,plain,(
% 0.23/0.41 ($true != (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mbox_s5 @ (meq_ind @ Y0 @ a))))))),
% 0.23/0.41 inference(cnf_transformation,[],[f110])).
% 0.23/0.41 thf(f110,plain,(
% 0.23/0.41 ($true != (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mbox_s5 @ (meq_ind @ Y0 @ a))))))),
% 0.23/0.41 inference(flattening,[],[f55])).
% 0.23/0.41 thf(f55,plain,(
% 0.23/0.41 ~($true = (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mbox_s5 @ (meq_ind @ Y0 @ a))))))),
% 0.23/0.41 inference(fool_elimination,[],[f54])).
% 0.23/0.41 thf(f54,plain,(
% 0.23/0.41 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox_s5 @ (meq_ind @ X0 @ a)))))),
% 0.23/0.41 inference(rectify,[],[f38])).
% 0.23/0.41 thf(f38,negated_conjecture,(
% 0.23/0.41 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox_s5 @ (meq_ind @ X0 @ a)))))),
% 0.23/0.41 inference(negated_conjecture,[],[f37])).
% 0.23/0.41 thf(f37,conjecture,(
% 0.23/0.41 (mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox_s5 @ (meq_ind @ X0 @ a)))))),
% 0.23/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove)).
% 0.23/0.41 % SZS output end Proof for theBenchmark
% 0.23/0.41 % (19190)------------------------------
% 0.23/0.41 % (19190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (19190)Termination reason: Refutation
% 0.23/0.41
% 0.23/0.41 % (19190)Memory used [KB]: 5628
% 0.23/0.41 % (19190)Time elapsed: 0.013 s
% 0.23/0.41 % (19190)Instructions burned: 8 (million)
% 0.23/0.41 % (19190)------------------------------
% 0.23/0.41 % (19190)------------------------------
% 0.23/0.41 % (19184)Success in time 0.027 s
% 0.23/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------