TSTP Solution File: SYO482^6 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO482^6 : 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 : n015.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 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO482^6 : 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
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 09:42:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % (18352)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)
% 0.13/0.37 % (18351)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (18353)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)
% 0.13/0.37 % (18354)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (18356)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)
% 0.13/0.37 % (18357)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37 % (18354)Instruction limit reached!
% 0.13/0.37 % (18354)------------------------------
% 0.13/0.37 % (18354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (18354)Termination reason: Unknown
% 0.13/0.37 % (18354)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (18354)Memory used [KB]: 1023
% 0.13/0.37 % (18354)Time elapsed: 0.003 s
% 0.13/0.37 % (18354)Instructions burned: 2 (million)
% 0.13/0.37 % (18354)------------------------------
% 0.13/0.37 % (18354)------------------------------
% 0.13/0.37 % (18352)Instruction limit reached!
% 0.13/0.37 % (18352)------------------------------
% 0.13/0.37 % (18352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (18352)Termination reason: Unknown
% 0.13/0.37 % (18352)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (18352)Memory used [KB]: 1023
% 0.13/0.37 % (18352)Time elapsed: 0.004 s
% 0.13/0.37 % (18352)Instructions burned: 4 (million)
% 0.13/0.37 % (18352)------------------------------
% 0.13/0.37 % (18352)------------------------------
% 0.13/0.38 % (18355)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)
% 0.13/0.38 % (18356)First to succeed.
% 0.13/0.38 % (18355)Instruction limit reached!
% 0.13/0.38 % (18355)------------------------------
% 0.13/0.38 % (18355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (18355)Termination reason: Unknown
% 0.13/0.38 % (18355)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (18355)Memory used [KB]: 1023
% 0.13/0.38 % (18355)Time elapsed: 0.003 s
% 0.13/0.38 % (18355)Instructions burned: 3 (million)
% 0.13/0.38 % (18355)------------------------------
% 0.13/0.38 % (18355)------------------------------
% 0.13/0.38 % (18353)Also succeeded, but the first one will report.
% 0.13/0.38 % (18356)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% 0.13/0.38 thf(type_def_5, type, mu: $tType).
% 0.13/0.38 thf(func_def_0, type, mu: $tType).
% 0.13/0.38 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.13/0.38 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_15, type, mtrue: $i > $o).
% 0.13/0.38 thf(func_def_16, type, mfalse: $i > $o).
% 0.13/0.38 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.13/0.38 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.13/0.38 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.13/0.38 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.13/0.38 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.13/0.38 thf(func_def_33, type, rel_s5: $i > $i > $o).
% 0.13/0.38 thf(func_def_34, type, mbox_s5: ($i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_35, type, mdia_s5: ($i > $o) > $i > $o).
% 0.13/0.38 thf(func_def_54, type, sK2: mu).
% 0.13/0.38 thf(f136,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(equality_resolution,[],[f134])).
% 0.13/0.38 thf(f134,plain,(
% 0.13/0.38 ( ! [X1 : mu] : ((sK2 != X1)) )),
% 0.13/0.38 inference(equality_proxy_clausification,[],[f133])).
% 0.13/0.38 thf(f133,plain,(
% 0.13/0.38 ( ! [X1 : mu] : (($false = (sK2 = X1))) )),
% 0.13/0.38 inference(not_proxy_clausification,[],[f132])).
% 0.13/0.38 thf(f132,plain,(
% 0.13/0.38 ( ! [X1 : mu] : (((~ (sK2 = X1)) = $true)) )),
% 0.13/0.38 inference(beta_eta_normalization,[],[f131])).
% 0.13/0.38 thf(f131,plain,(
% 0.13/0.38 ( ! [X1 : mu] : ((((^[Y0 : mu]: (~ (sK2 = Y0))) @ X1) = $true)) )),
% 0.13/0.38 inference(pi_clausification,[],[f130])).
% 0.13/0.38 thf(f130,plain,(
% 0.13/0.38 ((!! @ mu @ (^[Y0 : mu]: (~ (sK2 = Y0)))) = $true)),
% 0.13/0.38 inference(not_proxy_clausification,[],[f129])).
% 0.13/0.38 thf(f129,plain,(
% 0.13/0.38 ((~ (!! @ mu @ (^[Y0 : mu]: (~ (sK2 = Y0))))) = $false)),
% 0.13/0.38 inference(binary_proxy_clausification,[],[f127])).
% 0.13/0.38 thf(f127,plain,(
% 0.13/0.38 ($false = ((~ (!! @ mu @ (^[Y0 : mu]: (~ (sK2 = Y0))))) | (~ (rel_s5 @ sK1 @ sK3))))),
% 0.13/0.38 inference(beta_eta_normalization,[],[f126])).
% 0.13/0.38 thf(f126,plain,(
% 0.13/0.38 (((^[Y0 : $i]: ((~ (!! @ mu @ (^[Y1 : mu]: (~ (sK2 = Y1))))) | (~ (rel_s5 @ sK1 @ Y0)))) @ sK3) = $false)),
% 0.13/0.38 inference(sigma_clausification,[],[f125])).
% 0.13/0.38 thf(f125,plain,(
% 0.13/0.38 ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ mu @ (^[Y1 : mu]: (~ (sK2 = Y1))))) | (~ (rel_s5 @ sK1 @ Y0))))) = $false)),
% 0.13/0.38 inference(beta_eta_normalization,[],[f124])).
% 0.13/0.38 thf(f124,plain,(
% 0.13/0.38 ($false = ((^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ mu @ (^[Y2 : mu]: (~ (Y0 = Y2))))) | (~ (rel_s5 @ sK1 @ Y1)))))) @ sK2))),
% 0.13/0.38 inference(sigma_clausification,[],[f123])).
% 0.13/0.38 thf(f123,plain,(
% 0.13/0.38 ((!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ mu @ (^[Y2 : mu]: (~ (Y0 = Y2))))) | (~ (rel_s5 @ sK1 @ Y1))))))) = $false)),
% 0.13/0.38 inference(beta_eta_normalization,[],[f122])).
% 0.13/0.38 thf(f122,plain,(
% 0.13/0.38 ($false = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ mu @ (^[Y3 : mu]: (~ (Y1 = Y3))))) | (~ (rel_s5 @ Y0 @ Y2)))))))) @ sK1))),
% 0.13/0.38 inference(sigma_clausification,[],[f121])).
% 0.13/0.38 thf(f121,plain,(
% 0.13/0.38 ((!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ mu @ (^[Y3 : mu]: (~ (Y1 = Y3))))) | (~ (rel_s5 @ Y0 @ Y2))))))))) != $true)),
% 0.13/0.38 inference(beta_eta_normalization,[],[f120])).
% 0.13/0.38 thf(f120,plain,(
% 0.13/0.38 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s5 @ Y2 @ Y3)))))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i]: (!! @ mu @ (^[Y4 : mu]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : mu]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ (Y1 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : mu]: ((^[Y3 : mu]: ((^[Y4 : $i]: (Y2 = Y3)))))) @ Y0 @ Y1))))))) != $true)),
% 0.13/0.38 inference(definition_unfolding,[],[f117,f113,f115,f111,f119,f114])).
% 0.13/0.38 thf(f114,plain,(
% 0.13/0.38 (meq_ind = (^[Y0 : mu]: ((^[Y1 : mu]: ((^[Y2 : $i]: (Y0 = Y1)))))))),
% 0.13/0.38 inference(cnf_transformation,[],[f53])).
% 0.13/0.38 thf(f53,plain,(
% 0.13/0.38 (meq_ind = (^[Y0 : mu]: ((^[Y1 : mu]: ((^[Y2 : $i]: (Y0 = Y1)))))))),
% 0.13/0.38 inference(fool_elimination,[],[f1])).
% 0.13/0.38 thf(f1,axiom,(
% 0.13/0.38 ((^[X0 : mu, X1 : mu, X2 : $i] : ((X0 = X1))) = meq_ind)),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_ind)).
% 0.13/0.38 thf(f119,plain,(
% 0.13/0.38 (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)))))))),
% 0.13/0.38 inference(definition_unfolding,[],[f112,f118,f115,f118])).
% 0.13/0.38 thf(f118,plain,(
% 0.13/0.38 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.13/0.38 inference(cnf_transformation,[],[f103])).
% 0.13/0.38 thf(f103,plain,(
% 0.13/0.38 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.13/0.38 inference(fool_elimination,[],[f102])).
% 0.13/0.38 thf(f102,plain,(
% 0.13/0.38 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.13/0.38 inference(rectify,[],[f3])).
% 0.13/0.38 thf(f3,axiom,(
% 0.13/0.38 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.13/0.38 thf(f112,plain,(
% 0.13/0.38 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.13/0.38 inference(cnf_transformation,[],[f67])).
% 0.13/0.38 thf(f67,plain,(
% 0.13/0.38 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.13/0.38 inference(fool_elimination,[],[f66])).
% 0.13/0.38 thf(f66,plain,(
% 0.13/0.38 (mexists_ind = (^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))))),
% 0.13/0.38 inference(rectify,[],[f12])).
% 0.13/0.38 thf(f12,axiom,(
% 0.13/0.38 (mexists_ind = (^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind)).
% 0.13/0.38 thf(f111,plain,(
% 0.13/0.38 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))))),
% 0.13/0.38 inference(cnf_transformation,[],[f91])).
% 0.13/0.38 thf(f91,plain,(
% 0.13/0.38 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))))),
% 0.13/0.38 inference(fool_elimination,[],[f90])).
% 0.13/0.38 thf(f90,plain,(
% 0.13/0.38 (mbox_s5 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s5 @ X1 @ X2) | (X0 @ X2)))))),
% 0.13/0.38 inference(rectify,[],[f32])).
% 0.13/0.38 thf(f32,axiom,(
% 0.13/0.38 (mbox_s5 = (^[X3 : $i > $o, X2 : $i] : (! [X7] : (~(rel_s5 @ X2 @ X7) | (X3 @ X7)))))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s5)).
% 0.13/0.38 thf(f115,plain,(
% 0.13/0.38 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.13/0.38 inference(cnf_transformation,[],[f41])).
% 0.13/0.38 thf(f41,plain,(
% 0.13/0.38 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.13/0.38 inference(fool_elimination,[],[f40])).
% 0.13/0.38 thf(f40,plain,(
% 0.13/0.38 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)),
% 0.13/0.38 inference(rectify,[],[f10])).
% 0.13/0.38 thf(f10,axiom,(
% 0.13/0.38 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
% 0.13/0.38 thf(f113,plain,(
% 0.13/0.38 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.13/0.38 inference(cnf_transformation,[],[f50])).
% 0.13/0.38 thf(f50,plain,(
% 0.13/0.38 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.13/0.38 inference(fool_elimination,[],[f49])).
% 0.13/0.38 thf(f49,plain,(
% 0.13/0.38 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.13/0.38 inference(rectify,[],[f28])).
% 0.13/0.38 thf(f28,axiom,(
% 0.13/0.38 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.13/0.38 thf(f117,plain,(
% 0.13/0.38 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mbox_s5 @ (mexists_ind @ (^[Y1 : mu]: (meq_ind @ Y0 @ Y1))))))) != $true)),
% 0.13/0.38 inference(cnf_transformation,[],[f110])).
% 0.13/0.38 thf(f110,plain,(
% 0.13/0.38 ((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mbox_s5 @ (mexists_ind @ (^[Y1 : mu]: (meq_ind @ Y0 @ Y1))))))) != $true)),
% 0.13/0.38 inference(flattening,[],[f93])).
% 0.13/0.38 thf(f93,plain,(
% 0.13/0.38 ~((mvalid @ (mforall_ind @ (^[Y0 : mu]: (mbox_s5 @ (mexists_ind @ (^[Y1 : mu]: (meq_ind @ Y0 @ Y1))))))) = $true)),
% 0.13/0.38 inference(fool_elimination,[],[f92])).
% 0.13/0.38 thf(f92,plain,(
% 0.13/0.38 ~(mvalid @ (mforall_ind @ (^[X0 : mu] : (mbox_s5 @ (mexists_ind @ (^[X1 : mu] : (meq_ind @ X0 @ X1)))))))),
% 0.13/0.38 inference(rectify,[],[f38])).
% 0.13/0.38 thf(f38,negated_conjecture,(
% 0.13/0.38 ~(mvalid @ (mforall_ind @ (^[X0 : mu] : (mbox_s5 @ (mexists_ind @ (^[X1 : mu] : (meq_ind @ X0 @ X1)))))))),
% 0.13/0.38 inference(negated_conjecture,[],[f37])).
% 0.13/0.38 thf(f37,conjecture,(
% 0.13/0.38 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mbox_s5 @ (mexists_ind @ (^[X1 : mu] : (meq_ind @ X0 @ X1)))))))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove)).
% 0.13/0.38 % SZS output end Proof for theBenchmark
% 0.13/0.38 % (18356)------------------------------
% 0.13/0.38 % (18356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (18356)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (18356)Memory used [KB]: 5628
% 0.13/0.38 % (18356)Time elapsed: 0.008 s
% 0.13/0.38 % (18356)Instructions burned: 7 (million)
% 0.13/0.38 % (18356)------------------------------
% 0.13/0.38 % (18356)------------------------------
% 0.13/0.38 % (18350)Success in time 0.011 s
% 0.13/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------