TSTP Solution File: SET926^8 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET926^8 : TPTP v8.2.0. Released v8.1.0.
% 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 : n028.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 03:13:58 EDT 2024
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET926^8 : TPTP v8.2.0. Released v8.1.0.
% 0.06/0.14 % 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
% 0.14/0.34 % Computer : n028.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
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 12:25:52 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/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % (13760)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (13764)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)
% 0.14/0.37 % (13760)Instruction limit reached!
% 0.14/0.37 % (13760)------------------------------
% 0.14/0.37 % (13760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (13760)Termination reason: Unknown
% 0.14/0.37 % (13760)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (13760)Memory used [KB]: 1023
% 0.14/0.37 % (13760)Time elapsed: 0.003 s
% 0.14/0.37 % (13760)Instructions burned: 2 (million)
% 0.14/0.37 % (13760)------------------------------
% 0.14/0.37 % (13760)------------------------------
% 0.14/0.37 % (13757)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (13761)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)
% 0.14/0.37 % (13764)Instruction limit reached!
% 0.14/0.37 % (13764)------------------------------
% 0.14/0.37 % (13764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (13764)Termination reason: Unknown
% 0.14/0.37 % (13764)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (13764)Memory used [KB]: 1023
% 0.14/0.37 % (13764)Time elapsed: 0.004 s
% 0.14/0.37 % (13764)Instructions burned: 4 (million)
% 0.14/0.37 % (13764)------------------------------
% 0.14/0.37 % (13764)------------------------------
% 0.14/0.37 % (13761)Instruction limit reached!
% 0.14/0.37 % (13761)------------------------------
% 0.14/0.37 % (13761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (13761)Termination reason: Unknown
% 0.14/0.37 % (13761)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (13761)Memory used [KB]: 1023
% 0.14/0.37 % (13761)Time elapsed: 0.003 s
% 0.14/0.37 % (13761)Instructions burned: 2 (million)
% 0.14/0.37 % (13761)------------------------------
% 0.14/0.37 % (13761)------------------------------
% 0.14/0.37 % (13763)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.38 % (13763)Instruction limit reached!
% 0.14/0.38 % (13763)------------------------------
% 0.14/0.38 % (13763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13763)Termination reason: Unknown
% 0.14/0.38 % (13763)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (13763)Memory used [KB]: 5628
% 0.14/0.38 % (13763)Time elapsed: 0.010 s
% 0.14/0.38 % (13763)Instructions burned: 18 (million)
% 0.14/0.38 % (13763)------------------------------
% 0.14/0.38 % (13763)------------------------------
% 0.14/0.38 % (13759)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)
% 0.14/0.38 % (13758)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)
% 0.14/0.38 % (13762)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)
% 0.14/0.38 % (13758)Instruction limit reached!
% 0.14/0.38 % (13758)------------------------------
% 0.14/0.38 % (13758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13758)Termination reason: Unknown
% 0.14/0.38 % (13758)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (13758)Memory used [KB]: 1023
% 0.14/0.38 % (13758)Time elapsed: 0.004 s
% 0.14/0.38 % (13758)Instructions burned: 4 (million)
% 0.14/0.38 % (13758)------------------------------
% 0.14/0.38 % (13758)------------------------------
% 0.14/0.38 % (13765)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)
% 0.14/0.38 % (13766)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)
% 0.14/0.38 % (13767)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.38 % (13762)Refutation not found, incomplete strategy
% 0.14/0.38 % (13762)------------------------------
% 0.14/0.38 % (13762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13762)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (13762)Memory used [KB]: 5500
% 0.14/0.38 % (13762)Time elapsed: 0.006 s
% 0.14/0.38 % (13762)Instructions burned: 8 (million)
% 0.14/0.38 % (13762)------------------------------
% 0.14/0.38 % (13762)------------------------------
% 0.14/0.39 % (13767)Instruction limit reached!
% 0.14/0.39 % (13767)------------------------------
% 0.14/0.39 % (13767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13767)Termination reason: Unknown
% 0.14/0.39 % (13767)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (13767)Memory used [KB]: 1023
% 0.14/0.39 % (13767)Time elapsed: 0.004 s
% 0.14/0.39 % (13767)Instructions burned: 4 (million)
% 0.14/0.39 % (13767)------------------------------
% 0.14/0.39 % (13767)------------------------------
% 0.14/0.39 % (13766)Instruction limit reached!
% 0.14/0.39 % (13766)------------------------------
% 0.14/0.39 % (13766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13766)Termination reason: Unknown
% 0.14/0.39 % (13766)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (13766)Memory used [KB]: 1151
% 0.14/0.39 % (13766)Time elapsed: 0.009 s
% 0.14/0.39 % (13766)Instructions burned: 15 (million)
% 0.14/0.39 % (13766)------------------------------
% 0.14/0.39 % (13766)------------------------------
% 0.14/0.39 % (13759)Instruction limit reached!
% 0.14/0.39 % (13759)------------------------------
% 0.14/0.39 % (13759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13759)Termination reason: Unknown
% 0.14/0.39 % (13759)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (13759)Memory used [KB]: 5884
% 0.14/0.39 % (13759)Time elapsed: 0.016 s
% 0.14/0.39 % (13759)Instructions burned: 28 (million)
% 0.14/0.39 % (13759)------------------------------
% 0.14/0.39 % (13759)------------------------------
% 0.14/0.39 % (13757)First to succeed.
% 0.14/0.40 % (13769)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.40 % (13768)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 (2999ds/1041Mi)
% 0.21/0.40 % (13757)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% 0.21/0.40 thf(type_def_5, type, mworld: $tType).
% 0.21/0.40 thf(func_def_0, type, mworld: $tType).
% 0.21/0.40 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.21/0.40 thf(func_def_2, type, mactual: mworld).
% 0.21/0.40 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.21/0.40 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.21/0.40 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.40 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.40 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.40 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.40 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.21/0.40 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.21/0.40 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 0.21/0.40 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.21/0.40 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.21/0.40 thf(func_def_16, type, qmltpeq: $i > $i > mworld > $o).
% 0.21/0.40 thf(func_def_17, type, in: $i > $i > mworld > $o).
% 0.21/0.40 thf(func_def_18, type, empty: $i > mworld > $o).
% 0.21/0.40 thf(func_def_19, type, singleton: $i > $i).
% 0.21/0.40 thf(func_def_20, type, set_difference: $i > $i > $i).
% 0.21/0.40 thf(func_def_34, type, sK0: mworld > $i).
% 0.21/0.40 thf(f422,plain,(
% 0.21/0.40 $false),
% 0.21/0.40 inference(avatar_sat_refutation,[],[f337,f382,f388,f398,f421])).
% 0.21/0.40 thf(f421,plain,(
% 0.21/0.40 ~spl1_1),
% 0.21/0.40 inference(avatar_contradiction_clause,[],[f420])).
% 0.21/0.40 thf(f420,plain,(
% 0.21/0.40 $false | ~spl1_1),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f416])).
% 0.21/0.40 thf(f416,plain,(
% 0.21/0.40 ($false = $true) | ~spl1_1),
% 0.21/0.40 inference(superposition,[],[f327,f141])).
% 0.21/0.40 thf(f141,plain,(
% 0.21/0.40 ((eiw_di @ sK3 @ mactual) = $true)),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f139])).
% 0.21/0.40 thf(f139,plain,(
% 0.21/0.40 ($false = ((eiw_di @ sK3 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK2) @ sK3) @ (singleton @ sK2) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK2) @ sK3) @ empty_set @ mactual))))),
% 0.21/0.40 inference(beta_eta_normalization,[],[f138])).
% 0.21/0.40 thf(f138,plain,(
% 0.21/0.40 ($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK2) @ Y0) @ (singleton @ sK2) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK2) @ Y0) @ empty_set @ mactual)))) @ sK3))),
% 0.21/0.40 inference(sigma_clausification,[],[f136])).
% 0.21/0.40 thf(f136,plain,(
% 0.21/0.40 ($false = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK2) @ Y0) @ (singleton @ sK2) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK2) @ Y0) @ empty_set @ mactual))))))),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f135])).
% 0.21/0.40 thf(f135,plain,(
% 0.21/0.40 ($false = ((eiw_di @ sK2 @ mactual) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ sK2) @ Y0) @ (singleton @ sK2) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK2) @ Y0) @ empty_set @ mactual)))))))),
% 0.21/0.40 inference(beta_eta_normalization,[],[f134])).
% 0.21/0.40 thf(f134,plain,(
% 0.21/0.40 ($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set @ mactual))))))) @ sK2))),
% 0.21/0.40 inference(sigma_clausification,[],[f133])).
% 0.21/0.40 thf(f133,plain,(
% 0.21/0.40 ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set @ mactual)))))))) != $true)),
% 0.21/0.40 inference(beta_eta_normalization,[],[f121])).
% 0.21/0.40 thf(f121,plain,(
% 0.21/0.40 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)))))))) != $true)),
% 0.21/0.40 inference(definition_unfolding,[],[f96,f93,f105,f105,f90])).
% 0.21/0.40 thf(f90,plain,(
% 0.21/0.40 (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.21/0.40 inference(cnf_transformation,[],[f83])).
% 0.21/0.40 thf(f83,plain,(
% 0.21/0.40 (mor = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.21/0.40 inference(fool_elimination,[],[f82])).
% 0.21/0.40 thf(f82,plain,(
% 0.21/0.40 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.21/0.40 inference(rectify,[],[f4])).
% 0.21/0.40 thf(f4,axiom,(
% 0.21/0.40 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) | (X3 @ X2))) = mor)),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor_def)).
% 0.21/0.40 thf(f105,plain,(
% 0.21/0.40 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.21/0.40 inference(cnf_transformation,[],[f42])).
% 0.21/0.40 thf(f42,plain,(
% 0.21/0.40 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 0.21/0.40 inference(fool_elimination,[],[f41])).
% 0.21/0.40 thf(f41,plain,(
% 0.21/0.40 (mforall_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))))),
% 0.21/0.40 inference(rectify,[],[f11])).
% 0.21/0.40 thf(f11,axiom,(
% 0.21/0.40 (mforall_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5] : ((eiw_di @ X5 @ X2) => (X1 @ X5 @ X2)))))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def)).
% 0.21/0.40 thf(f93,plain,(
% 0.21/0.40 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.40 inference(cnf_transformation,[],[f59])).
% 0.21/0.40 thf(f59,plain,(
% 0.21/0.40 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.40 inference(fool_elimination,[],[f1])).
% 0.21/0.40 thf(f1,axiom,(
% 0.21/0.40 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 0.21/0.40 thf(f96,plain,(
% 0.21/0.40 ($true != (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mor @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)))))))))),
% 0.21/0.40 inference(cnf_transformation,[],[f86])).
% 0.21/0.40 thf(f86,plain,(
% 0.21/0.40 ($true != (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mor @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)))))))))),
% 0.21/0.40 inference(flattening,[],[f36])).
% 0.21/0.40 thf(f36,plain,(
% 0.21/0.40 ~($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mor @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)))))))))),
% 0.21/0.40 inference(fool_elimination,[],[f35])).
% 0.21/0.40 thf(f35,plain,(
% 0.21/0.40 ~(mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mor @ (qmltpeq @ (set_difference @ (singleton @ X0) @ X1) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ X0) @ X1) @ (singleton @ X0))))))))),
% 0.21/0.40 inference(rectify,[],[f29])).
% 0.21/0.40 thf(f29,negated_conjecture,(
% 0.21/0.40 ~(mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mor @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ (singleton @ X1))))))))),
% 0.21/0.40 inference(negated_conjecture,[],[f28])).
% 0.21/0.40 thf(f28,conjecture,(
% 0.21/0.40 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mor @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ (singleton @ X1))))))))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_zfmisc_1)).
% 0.21/0.40 thf(f327,plain,(
% 0.21/0.40 ($false = (eiw_di @ sK3 @ mactual)) | ~spl1_1),
% 0.21/0.40 inference(avatar_component_clause,[],[f325])).
% 0.21/0.40 thf(f325,plain,(
% 0.21/0.40 spl1_1 <=> ($false = (eiw_di @ sK3 @ mactual))),
% 0.21/0.40 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.21/0.40 thf(f398,plain,(
% 0.21/0.40 ~spl1_2 | ~spl1_6),
% 0.21/0.40 inference(avatar_contradiction_clause,[],[f397])).
% 0.21/0.40 thf(f397,plain,(
% 0.21/0.40 $false | (~spl1_2 | ~spl1_6)),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f392])).
% 0.21/0.40 thf(f392,plain,(
% 0.21/0.40 ($false = $true) | (~spl1_2 | ~spl1_6)),
% 0.21/0.40 inference(superposition,[],[f331,f380])).
% 0.21/0.40 thf(f380,plain,(
% 0.21/0.40 ((in @ sK2 @ sK3 @ mactual) = $true) | ~spl1_6),
% 0.21/0.40 inference(avatar_component_clause,[],[f378])).
% 0.21/0.40 thf(f378,plain,(
% 0.21/0.40 spl1_6 <=> ((in @ sK2 @ sK3 @ mactual) = $true)),
% 0.21/0.40 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
% 0.21/0.40 thf(f331,plain,(
% 0.21/0.40 ($false = (in @ sK2 @ sK3 @ mactual)) | ~spl1_2),
% 0.21/0.40 inference(avatar_component_clause,[],[f329])).
% 0.21/0.40 thf(f329,plain,(
% 0.21/0.40 spl1_2 <=> ($false = (in @ sK2 @ sK3 @ mactual))),
% 0.21/0.40 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.21/0.40 thf(f388,plain,(
% 0.21/0.40 ~spl1_3),
% 0.21/0.40 inference(avatar_contradiction_clause,[],[f387])).
% 0.21/0.40 thf(f387,plain,(
% 0.21/0.40 $false | ~spl1_3),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f383])).
% 0.21/0.40 thf(f383,plain,(
% 0.21/0.40 ($false = $true) | ~spl1_3),
% 0.21/0.40 inference(superposition,[],[f335,f137])).
% 0.21/0.40 thf(f137,plain,(
% 0.21/0.40 ((eiw_di @ sK2 @ mactual) = $true)),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f135])).
% 0.21/0.40 thf(f335,plain,(
% 0.21/0.40 ($false = (eiw_di @ sK2 @ mactual)) | ~spl1_3),
% 0.21/0.40 inference(avatar_component_clause,[],[f333])).
% 0.21/0.40 thf(f333,plain,(
% 0.21/0.40 spl1_3 <=> ($false = (eiw_di @ sK2 @ mactual))),
% 0.21/0.40 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 0.21/0.40 thf(f382,plain,(
% 0.21/0.40 spl1_3 | spl1_6 | spl1_1),
% 0.21/0.40 inference(avatar_split_clause,[],[f375,f325,f378,f333])).
% 0.21/0.40 thf(f375,plain,(
% 0.21/0.40 ($false = (eiw_di @ sK3 @ mactual)) | ((in @ sK2 @ sK3 @ mactual) = $true) | ($false = (eiw_di @ sK2 @ mactual))),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f368])).
% 0.21/0.40 thf(f368,plain,(
% 0.21/0.40 ($false = (eiw_di @ sK3 @ mactual)) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = $true) | ((in @ sK2 @ sK3 @ mactual) = $true)),
% 0.21/0.40 inference(superposition,[],[f143,f166])).
% 0.21/0.40 thf(f166,plain,(
% 0.21/0.40 ( ! [X2 : $i,X1 : $i] : (((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = $true) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $true) | ($false = (eiw_di @ X2 @ mactual))) )),
% 0.21/0.40 inference(not_proxy_clausification,[],[f165])).
% 0.21/0.40 thf(f165,plain,(
% 0.21/0.40 ( ! [X2 : $i,X1 : $i] : (((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = $true) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((~ (in @ X1 @ X2 @ mactual)) = $false)) )),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f163])).
% 0.21/0.40 thf(f163,plain,(
% 0.21/0.40 ( ! [X2 : $i,X1 : $i] : (($false = (eiw_di @ X2 @ mactual)) | ((~ (in @ X1 @ X2 @ mactual)) = (qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual)) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f162])).
% 0.21/0.40 thf(f162,plain,(
% 0.21/0.40 ( ! [X2 : $i,X1 : $i] : ((((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ X2 @ mactual))) = $true) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual))) )),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f161])).
% 0.21/0.40 thf(f161,plain,(
% 0.21/0.40 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($true = ((eiw_di @ X2 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ X2 @ mactual)))))) )),
% 0.21/0.40 inference(beta_eta_normalization,[],[f160])).
% 0.21/0.40 thf(f160,plain,(
% 0.21/0.40 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ Y0 @ mactual))))) @ X2)) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.21/0.40 inference(pi_clausification,[],[f159])).
% 0.21/0.40 thf(f159,plain,(
% 0.21/0.40 ( ! [X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ Y0 @ mactual)))))))) )),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f158])).
% 0.21/0.40 thf(f158,plain,(
% 0.21/0.40 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ (singleton @ X1) @ mactual) = (~ (in @ X1 @ Y0 @ mactual))))))) = $true)) )),
% 0.21/0.40 inference(beta_eta_normalization,[],[f157])).
% 0.21/0.40 thf(f157,plain,(
% 0.21/0.40 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0) @ mactual) = (~ (in @ Y0 @ Y1 @ mactual)))))))) @ X1) = $true)) )),
% 0.21/0.40 inference(pi_clausification,[],[f156])).
% 0.21/0.40 thf(f156,plain,(
% 0.21/0.40 ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0) @ mactual) = (~ (in @ Y0 @ Y1 @ mactual))))))))) = $true)),
% 0.21/0.40 inference(beta_eta_normalization,[],[f119])).
% 0.21/0.40 thf(f119,plain,(
% 0.21/0.40 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (~ (Y2 @ Y3))))) @ (in @ Y0 @ Y1)))))))) = $true)),
% 0.21/0.40 inference(definition_unfolding,[],[f94,f93,f105,f105,f111,f112])).
% 0.21/0.40 thf(f112,plain,(
% 0.21/0.40 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.21/0.40 inference(cnf_transformation,[],[f85])).
% 0.21/0.40 thf(f85,plain,(
% 0.21/0.40 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.21/0.40 inference(fool_elimination,[],[f84])).
% 0.21/0.40 thf(f84,plain,(
% 0.21/0.40 ((^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))) = mnot)),
% 0.21/0.40 inference(rectify,[],[f2])).
% 0.21/0.40 thf(f2,axiom,(
% 0.21/0.40 ((^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))) = mnot)),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def)).
% 0.21/0.40 thf(f111,plain,(
% 0.21/0.40 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.21/0.40 inference(cnf_transformation,[],[f71])).
% 0.21/0.40 thf(f71,plain,(
% 0.21/0.40 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.21/0.40 inference(fool_elimination,[],[f70])).
% 0.21/0.40 thf(f70,plain,(
% 0.21/0.40 (mequiv = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) <=> (X1 @ X2))))),
% 0.21/0.40 inference(rectify,[],[f6])).
% 0.21/0.40 thf(f6,axiom,(
% 0.21/0.40 (mequiv = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X3 @ X2))))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv_def)).
% 0.21/0.40 thf(f94,plain,(
% 0.21/0.40 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)) @ (mnot @ (in @ Y0 @ Y1)))))))) = $true)),
% 0.21/0.40 inference(cnf_transformation,[],[f73])).
% 0.21/0.40 thf(f73,plain,(
% 0.21/0.40 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ (singleton @ Y0)) @ (mnot @ (in @ Y0 @ Y1)))))))) = $true)),
% 0.21/0.40 inference(fool_elimination,[],[f72])).
% 0.21/0.40 thf(f72,plain,(
% 0.21/0.40 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X0) @ X1) @ (singleton @ X0)) @ (mnot @ (in @ X0 @ X1))))))))),
% 0.21/0.40 inference(rectify,[],[f24])).
% 0.21/0.40 thf(f24,axiom,(
% 0.21/0.40 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ (singleton @ X1)) @ (mnot @ (in @ X1 @ X3))))))))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',l34_zfmisc_1)).
% 0.21/0.40 thf(f143,plain,(
% 0.21/0.40 ((qmltpeq @ (set_difference @ (singleton @ sK2) @ sK3) @ (singleton @ sK2) @ mactual) = $false)),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f140])).
% 0.21/0.40 thf(f140,plain,(
% 0.21/0.40 ($false = ((qmltpeq @ (set_difference @ (singleton @ sK2) @ sK3) @ (singleton @ sK2) @ mactual) | (qmltpeq @ (set_difference @ (singleton @ sK2) @ sK3) @ empty_set @ mactual)))),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f139])).
% 0.21/0.40 thf(f337,plain,(
% 0.21/0.40 spl1_3 | spl1_1 | spl1_2),
% 0.21/0.40 inference(avatar_split_clause,[],[f322,f329,f325,f333])).
% 0.21/0.40 thf(f322,plain,(
% 0.21/0.40 ($false = (eiw_di @ sK2 @ mactual)) | ($false = (in @ sK2 @ sK3 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual))),
% 0.21/0.40 inference(trivial_inequality_removal,[],[f315])).
% 0.21/0.40 thf(f315,plain,(
% 0.21/0.40 ($false = (eiw_di @ sK3 @ mactual)) | ($false = $true) | ($false = (eiw_di @ sK2 @ mactual)) | ($false = (in @ sK2 @ sK3 @ mactual))),
% 0.21/0.40 inference(superposition,[],[f142,f220])).
% 0.21/0.40 thf(f220,plain,(
% 0.21/0.40 ( ! [X2 : $i,X1 : $i] : (((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual) = $true) | ($false = (in @ X1 @ X2 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false)) )),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f219])).
% 0.21/0.40 thf(f219,plain,(
% 0.21/0.40 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual) = (in @ X1 @ X2 @ mactual)) | ($false = (eiw_di @ X2 @ mactual))) )),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f218])).
% 0.21/0.40 thf(f218,plain,(
% 0.21/0.40 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($true = ((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual) = (in @ X1 @ X2 @ mactual)))) )),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f217])).
% 0.21/0.40 thf(f217,plain,(
% 0.21/0.40 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | (((eiw_di @ X2 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ X2) @ empty_set @ mactual) = (in @ X1 @ X2 @ mactual))) = $true)) )),
% 0.21/0.40 inference(beta_eta_normalization,[],[f216])).
% 0.21/0.40 thf(f216,plain,(
% 0.21/0.40 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ empty_set @ mactual) = (in @ X1 @ Y0 @ mactual)))) @ X2))) )),
% 0.21/0.40 inference(pi_clausification,[],[f215])).
% 0.21/0.40 thf(f215,plain,(
% 0.21/0.40 ( ! [X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ empty_set @ mactual) = (in @ X1 @ Y0 @ mactual))))) = $true)) )),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f214])).
% 0.21/0.40 thf(f214,plain,(
% 0.21/0.40 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ X1) @ Y0) @ empty_set @ mactual) = (in @ X1 @ Y0 @ mactual)))))) = $true)) )),
% 0.21/0.40 inference(beta_eta_normalization,[],[f213])).
% 0.21/0.40 thf(f213,plain,(
% 0.21/0.40 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set @ mactual) = (in @ Y0 @ Y1 @ mactual))))))) @ X1) = $true)) )),
% 0.21/0.40 inference(pi_clausification,[],[f212])).
% 0.21/0.40 thf(f212,plain,(
% 0.21/0.40 ($true = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) => ((qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set @ mactual) = (in @ Y0 @ Y1 @ mactual)))))))))),
% 0.21/0.40 inference(beta_eta_normalization,[],[f125])).
% 0.21/0.40 thf(f125,plain,(
% 0.21/0.40 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (in @ Y0 @ Y1))))))))),
% 0.21/0.40 inference(definition_unfolding,[],[f103,f93,f105,f105,f111])).
% 0.21/0.40 thf(f103,plain,(
% 0.21/0.40 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (in @ Y0 @ Y1))))))))),
% 0.21/0.40 inference(cnf_transformation,[],[f65])).
% 0.21/0.40 thf(f65,plain,(
% 0.21/0.40 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ (set_difference @ (singleton @ Y0) @ Y1) @ empty_set) @ (in @ Y0 @ Y1))))))))),
% 0.21/0.40 inference(fool_elimination,[],[f64])).
% 0.21/0.40 thf(f64,plain,(
% 0.21/0.40 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X0) @ X1) @ empty_set) @ (in @ X0 @ X1)))))))),
% 0.21/0.40 inference(rectify,[],[f25])).
% 0.21/0.40 thf(f25,axiom,(
% 0.21/0.40 (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (qmltpeq @ (set_difference @ (singleton @ X1) @ X3) @ empty_set) @ (in @ X1 @ X3)))))))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',l36_zfmisc_1)).
% 0.21/0.40 thf(f142,plain,(
% 0.21/0.40 ($false = (qmltpeq @ (set_difference @ (singleton @ sK2) @ sK3) @ empty_set @ mactual))),
% 0.21/0.40 inference(binary_proxy_clausification,[],[f140])).
% 0.21/0.40 % SZS output end Proof for theBenchmark
% 0.21/0.40 % (13757)------------------------------
% 0.21/0.40 % (13757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (13757)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (13757)Memory used [KB]: 6012
% 0.21/0.40 % (13757)Time elapsed: 0.031 s
% 0.21/0.40 % (13757)Instructions burned: 55 (million)
% 0.21/0.40 % (13757)------------------------------
% 0.21/0.40 % (13757)------------------------------
% 0.21/0.40 % (13756)Success in time 0.043 s
% 0.21/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------