%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL962^16 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:14:56 AM UTC 2026
% Result : Theorem 0.21s 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL962^16 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n013.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 11:00:23 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.30 % (1951522)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.30 % (1951532)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2907380109:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.30 % (1951533)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.30 % (1951533)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.30 % (1951532) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1951522-1951532"...
% 0.21/0.30 % (1951529)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=825986376:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.30 % (1951527)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4075510599:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.30 % (1951528)lrs+10_16_si=on:nwc=1.5:random_seed=3090306002:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.30 % (1951530)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=536720394:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.30 % (1951531)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=371261134:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.30 % (1951532)...printing done.
% 0.21/0.30 % (1951533)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3612434627:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.30 % (1951532)Refutation found. Thanks to Tanya!
% 0.21/0.30 % SZS status Theorem for theBenchmark
% 0.21/0.30 % SZS output start Proof for theBenchmark
% 0.21/0.30 thf(type_def_5, type, mworld: $tType).
% 0.21/0.30 thf(type_def_6, type, mindex: $tType).
% 0.21/0.30 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.30 thf(func_def_0, type, mrel: (mindex > mworld > mworld > $o)).
% 0.21/0.30 thf(func_def_1, type, '#b': mindex).
% 0.21/0.30 thf(func_def_2, type, '#a': mindex).
% 0.21/0.30 thf(func_def_3, type, mactual: mworld).
% 0.21/0.30 thf(func_def_4, type, mlocal: ((mworld > $o) > $o)).
% 0.21/0.30 thf(func_def_6, type, mnot: ((mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_7, type, mand: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_8, type, mor: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_9, type, mimplies: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_10, type, mequiv: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_11, type, mbox: (mindex > (mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_12, type, mdia: (mindex > (mworld > $o) > mworld > $o)).
% 0.21/0.30 thf(func_def_13, type, p: (mworld > $o)).
% 0.21/0.30 thf(func_def_14, type, vOR: ($o > $o > $o)).
% 0.21/0.30 thf(func_def_15, type, db1: !>[X0: $tType]:(X0)).
% 0.21/0.30 thf(func_def_16, type, db0: !>[X0: $tType]:(X0)).
% 0.21/0.30 thf(func_def_17, type, db2: !>[X0: $tType]:(X0)).
% 0.21/0.30 thf(func_def_18, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.21/0.30 thf(func_def_19, type, vIMP: ($o > $o > $o)).
% 0.21/0.30 thf(func_def_22, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.21/0.30 thf(func_def_23, type, db3: !>[X0: $tType]:(X0)).
% 0.21/0.30 thf(func_def_24, type, vIFF: ($o > $o > $o)).
% 0.21/0.30 thf(func_def_25, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.21/0.30 thf(func_def_26, type, vAND: ($o > $o > $o)).
% 0.21/0.30 thf(func_def_27, type, vNOT: ($o > $o)).
% 0.21/0.30 thf(func_def_28, type, sK0: (mworld > mworld)).
% 0.21/0.30 thf(func_def_29, type, sK1: mworld).
% 0.21/0.30 thf(f1,axiom,(
% 0.21/0.30 ((^[X0 : (mworld > $o)] : ((X0 @ mactual))) = mlocal)),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 0.21/0.30 thf(f2,axiom,(
% 0.21/0.30 (mnot = (^[X0 : (mworld > $o), X1 : mworld] : (~(X0 @ X1))))),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_def)).
% 0.21/0.30 thf(f5,axiom,(
% 0.21/0.30 (mimplies = (^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def)).
% 0.21/0.30 thf(f7,axiom,(
% 0.21/0.30 ((^[X0 : mindex, X1 : (mworld > $o), X2 : mworld] : (! [X3 : mworld] : ((mrel @ X0 @ X2 @ X3) => (X1 @ X3)))) = mbox)),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def)).
% 0.21/0.30 thf(f9,axiom,(
% 0.21/0.30 ! [X0 : mworld] : (mrel @ '#b' @ X0 @ X0)),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_#b_reflexive')).
% 0.21/0.30 thf(f11,axiom,(
% 0.21/0.30 ! [X0 : mworld] : (mrel @ '#a' @ X0 @ X0)),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_#a_reflexive')).
% 0.21/0.30 thf(f12,axiom,(
% 0.21/0.30 ! [X2 : mworld,X1 : mworld,X0 : mworld] : (((mrel @ '#a' @ X0 @ X1) & (mrel @ '#a' @ X1 @ X2)) => (mrel @ '#a' @ X0 @ X2))),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_#a_transitive')).
% 0.21/0.30 thf(f13,axiom,(
% 0.21/0.30 (mlocal @ (mbox @ '#a' @ (mimplies @ p @ (mbox @ '#b' @ p))))),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_axiom_1)).
% 0.21/0.30 thf(f14,axiom,(
% 0.21/0.30 (mlocal @ (mimplies @ (mnot @ (mbox @ '#b' @ p)) @ (mbox @ '#a' @ (mnot @ (mbox @ '#b' @ p)))))),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_axiom_2)).
% 0.21/0.30 thf(f15,axiom,(
% 0.21/0.30 (mlocal @ (mnot @ p))),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_a_axiom_1)).
% 0.21/0.30 thf(f16,conjecture,(
% 0.21/0.30 (mlocal @ (mbox @ '#a' @ (mnot @ p)))),
% 0.21/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.21/0.30 thf(f17,negated_conjecture,(
% 0.21/0.30 ~(mlocal @ (mbox @ '#a' @ (mnot @ p)))),
% 0.21/0.30 inference(negated_conjecture,[status(cth)],[f16])).
% 0.21/0.30 thf(f20,plain,(
% 0.21/0.30 (mimplies = (^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.21/0.30 inference(rectify,[],[f5])).
% 0.21/0.30 thf(f21,plain,(
% 0.21/0.30 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.21/0.30 inference(fool_elimination,[],[f20])).
% 0.21/0.30 thf(f22,plain,(
% 0.21/0.30 (mlocal @ (mimplies @ (mnot @ (mbox @ '#b' @ p)) @ (mbox @ '#a' @ (mnot @ (mbox @ '#b' @ p)))))),
% 0.21/0.30 inference(rectify,[],[f14])).
% 0.21/0.30 thf(f23,plain,(
% 0.21/0.30 (((mlocal @ (mimplies @ (mnot @ (mbox @ '#b' @ p)) @ (mbox @ '#a' @ (mnot @ (mbox @ '#b' @ p)))))) = $true)),
% 0.21/0.30 inference(fool_elimination,[],[f22])).
% 0.21/0.30 thf(f24,plain,(
% 0.21/0.30 ((^[X0 : mindex, X1 : (mworld > $o), X2 : mworld] : (! [X3 : mworld] : ((mrel @ X0 @ X2 @ X3) => (X1 @ X3)))) = mbox)),
% 0.21/0.30 inference(rectify,[],[f7])).
% 0.21/0.30 thf(f25,plain,(
% 0.21/0.30 (mbox = (^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.21/0.30 inference(fool_elimination,[],[f24])).
% 0.21/0.30 thf(f28,plain,(
% 0.21/0.30 (mlocal @ (mbox @ '#a' @ (mimplies @ p @ (mbox @ '#b' @ p))))),
% 0.21/0.30 inference(rectify,[],[f13])).
% 0.21/0.30 thf(f29,plain,(
% 0.21/0.30 (((mlocal @ (mbox @ '#a' @ (mimplies @ p @ (mbox @ '#b' @ p))))) = $true)),
% 0.21/0.30 inference(fool_elimination,[],[f28])).
% 0.21/0.30 thf(f30,plain,(
% 0.21/0.30 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.30 inference(fool_elimination,[],[f1])).
% 0.21/0.30 thf(f33,plain,(
% 0.21/0.30 ~(mlocal @ (mbox @ '#a' @ (mnot @ p)))),
% 0.21/0.30 inference(rectify,[],[f17])).
% 0.21/0.30 thf(f34,plain,(
% 0.21/0.30 ~ (((mlocal @ (mbox @ '#a' @ (mnot @ p)))) = $true)),
% 0.21/0.30 inference(fool_elimination,[],[f33])).
% 0.21/0.30 thf(f35,plain,(
% 0.21/0.30 ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ '#a' @ X2 @ X1) & (mrel @ '#a' @ X1 @ X0)) => (mrel @ '#a' @ X2 @ X0))),
% 0.21/0.30 inference(rectify,[],[f12])).
% 0.21/0.30 thf(f36,plain,(
% 0.21/0.30 ! [X1 : mworld,X0 : mworld,X2 : mworld] : ((($true = ((mrel @ '#a' @ X1 @ X0))) & (((mrel @ '#a' @ X2 @ X1)) = $true)) => (((mrel @ '#a' @ X2 @ X0)) = $true))),
% 0.21/0.30 inference(fool_elimination,[],[f35])).
% 0.21/0.30 thf(f37,plain,(
% 0.21/0.30 (mnot = (^[X0 : (mworld > $o), X1 : mworld] : (~(X0 @ X1))))),
% 0.21/0.30 inference(rectify,[],[f2])).
% 0.21/0.30 thf(f38,plain,(
% 0.21/0.30 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.21/0.30 inference(fool_elimination,[],[f37])).
% 0.21/0.30 thf(f39,plain,(
% 0.21/0.30 (mlocal @ (mnot @ p))),
% 0.21/0.30 inference(rectify,[],[f15])).
% 0.21/0.30 thf(f40,plain,(
% 0.21/0.30 (((mlocal @ (mnot @ p))) = $true)),
% 0.21/0.30 inference(fool_elimination,[],[f39])).
% 0.21/0.30 thf(f45,plain,(
% 0.21/0.30 ! [X0 : mworld] : (mrel @ '#b' @ X0 @ X0)),
% 0.21/0.30 inference(rectify,[],[f9])).
% 0.21/0.30 thf(f46,plain,(
% 0.21/0.30 ! [X0 : mworld] : (((mrel @ '#b' @ X0 @ X0)) = $true)),
% 0.21/0.30 inference(fool_elimination,[],[f45])).
% 0.21/0.30 thf(f47,plain,(
% 0.21/0.30 ! [X0 : mworld] : (mrel @ '#a' @ X0 @ X0)),
% 0.21/0.30 inference(rectify,[],[f11])).
% 0.21/0.30 thf(f48,plain,(
% 0.21/0.30 ! [X0 : mworld] : (((mrel @ '#a' @ X0 @ X0)) = $true)),
% 0.21/0.30 inference(fool_elimination,[],[f47])).
% 0.21/0.30 thf(f49,plain,(
% 0.21/0.30 (((mlocal @ (mbox @ '#a' @ (mnot @ p)))) != $true)),
% 0.21/0.30 inference(flattening,[],[f34])).
% 0.21/0.30 thf(f52,plain,(
% 0.21/0.30 ! [X1 : mworld,X0 : mworld,X2 : mworld] : ((((mrel @ '#a' @ X2 @ X0)) = $true) | (($true != ((mrel @ '#a' @ X1 @ X0))) | (((mrel @ '#a' @ X2 @ X1)) != $true)))),
% 0.21/0.30 inference(ennf_transformation,[],[f36])).
% 0.21/0.30 thf(f53,plain,(
% 0.21/0.30 ! [X0 : mworld,X2 : mworld,X1 : mworld] : ((((mrel @ '#a' @ X2 @ X0)) = $true) | ($true != ((mrel @ '#a' @ X1 @ X0))) | (((mrel @ '#a' @ X2 @ X1)) != $true))),
% 0.21/0.30 inference(flattening,[],[f52])).
% 0.21/0.30 thf(f54,plain,(
% 0.21/0.30 ! [X0 : mworld,X1 : mworld,X2 : mworld] : (($true = ((mrel @ '#a' @ X1 @ X0))) | (((mrel @ '#a' @ X2 @ X0)) != $true) | (((mrel @ '#a' @ X1 @ X2)) != $true))),
% 0.21/0.30 inference(rectify,[],[f53])).
% 0.21/0.30 thf(f56,plain,(
% 0.21/0.30 (((mlocal @ (mnot @ p))) = $true)),
% 0.21/0.30 inference(cnf_transformation,[],[f40])).
% 0.21/0.30 thf(f57,plain,(
% 0.21/0.30 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.21/0.30 inference(cnf_transformation,[],[f38])).
% 0.21/0.30 thf(f58,plain,(
% 0.21/0.30 (mbox = (^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.21/0.30 inference(cnf_transformation,[],[f25])).
% 0.21/0.30 thf(f60,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X0 : mworld,X1 : mworld] : ((((mrel @ '#a' @ X2 @ X0)) != $true) | ($true = ((mrel @ '#a' @ X1 @ X0))) | (((mrel @ '#a' @ X1 @ X2)) != $true)) )),
% 0.21/0.30 inference(cnf_transformation,[],[f54])).
% 0.21/0.30 thf(f62,plain,(
% 0.21/0.30 ( ! [X0 : mworld] : ((((mrel @ '#a' @ X0 @ X0)) = $true)) )),
% 0.21/0.30 inference(cnf_transformation,[],[f48])).
% 0.21/0.30 thf(f63,plain,(
% 0.21/0.30 ( ! [X0 : mworld] : ((((mrel @ '#b' @ X0 @ X0)) = $true)) )),
% 0.21/0.30 inference(cnf_transformation,[],[f46])).
% 0.21/0.30 thf(f65,plain,(
% 0.21/0.30 (((mlocal @ (mimplies @ (mnot @ (mbox @ '#b' @ p)) @ (mbox @ '#a' @ (mnot @ (mbox @ '#b' @ p)))))) = $true)),
% 0.21/0.30 inference(cnf_transformation,[],[f23])).
% 0.21/0.30 thf(f66,plain,(
% 0.21/0.30 (((mlocal @ (mbox @ '#a' @ (mimplies @ p @ (mbox @ '#b' @ p))))) = $true)),
% 0.21/0.30 inference(cnf_transformation,[],[f29])).
% 0.21/0.30 thf(f67,plain,(
% 0.21/0.30 (((mlocal @ (mbox @ '#a' @ (mnot @ p)))) != $true)),
% 0.21/0.30 inference(cnf_transformation,[],[f49])).
% 0.21/0.30 thf(f69,plain,(
% 0.21/0.30 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.30 inference(cnf_transformation,[],[f30])).
% 0.21/0.30 thf(f71,plain,(
% 0.21/0.30 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.21/0.30 inference(cnf_transformation,[],[f21])).
% 0.21/0.30 thf(f73,definition,(
% 0.21/0.30 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.21/0.30 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.21/0.30 thf(f74,plain,(
% 0.21/0.30 ((((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))) @ p))) = $true)),
% 0.21/0.30 inference(definition_unfolding,[],[f56,f69,f57])).
% 0.21/0.30 thf(f75,plain,(
% 0.21/0.30 ((((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))) @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ '#b' @ p)) @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ '#a' @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))) @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ '#b' @ p)))))) = $true)),
% 0.21/0.30 inference(definition_unfolding,[],[f65,f69,f71,f57,f58,f58,f57,f58])).
% 0.21/0.30 thf(f76,plain,(
% 0.21/0.30 ($true = (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ '#a' @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))) @ p @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ '#b' @ p))))))),
% 0.21/0.30 inference(definition_unfolding,[],[f66,f69,f58,f71,f58])).
% 0.21/0.30 thf(f77,plain,(
% 0.21/0.30 ((((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ '#a' @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))) @ p)))) != $true)),
% 0.21/0.30 inference(definition_unfolding,[],[f67,f69,f58,f57])).
% 0.21/0.30 thf(f78,plain,(
% 0.21/0.30 (((~ (p @ mactual))) = $true)),
% 0.21/0.30 inference(beta-eta_normalization,[],[f74])).
% 0.21/0.30 thf(f79,plain,(
% 0.21/0.30 (((p @ mactual)) = $false)),
% 0.21/0.30 inference(not_proxy_clausification,[],[f78])).
% 0.21/0.30 thf(f80,plain,(
% 0.21/0.30 ((((~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ mactual @ Y0) => (p @ Y0))))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#a' @ mactual @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b' @ Y0 @ Y1) => (p @ Y1)))))))))) = $true)),
% 0.21/0.30 inference(beta-eta_normalization,[],[f75])).
% 0.21/0.30 thf(f81,plain,(
% 0.21/0.30 ($false = ((~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ mactual @ Y0) => (p @ Y0))))))) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#a' @ mactual @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b' @ Y0 @ Y1) => (p @ Y1))))))))) = $true)),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f80])).
% 0.21/0.30 thf(f82,plain,(
% 0.21/0.30 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#a' @ mactual @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b' @ Y0 @ Y1) => (p @ Y1))))))))) = $true) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ mactual @ Y0) => (p @ Y0))))) = $true)),
% 0.21/0.30 inference(not_proxy_clausification,[],[f81])).
% 0.21/0.30 thf(f83,plain,(
% 0.21/0.30 ( ! [X1 : mworld] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ mactual @ Y0) => (p @ Y0))))) = $true) | ((((^[Y0 : mworld]: ((mrel @ '#a' @ mactual @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b' @ Y0 @ Y1) => (p @ Y1))))))) @ X1)) = $true)) )),
% 0.21/0.30 inference(pi_proxy_clausification,[],[f82])).
% 0.21/0.30 thf(f84,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : mworld] : (((((^[Y0 : mworld]: ((mrel @ '#a' @ mactual @ Y0) => (~ (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b' @ Y0 @ Y1) => (p @ Y1))))))) @ X1)) = $true) | ($true = (((^[Y0 : mworld]: ((mrel @ '#b' @ mactual @ Y0) => (p @ Y0))) @ X2)))) )),
% 0.21/0.30 inference(pi_proxy_clausification,[],[f83])).
% 0.21/0.30 thf(f85,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : mworld] : (((((mrel @ '#a' @ mactual @ X1) => (~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ X1 @ Y0) => (p @ Y0))))))) = $true) | ((((mrel @ '#b' @ mactual @ X2) => (p @ X2))) = $true)) )),
% 0.21/0.30 inference(beta-eta_normalization,[],[f84])).
% 0.21/0.30 thf(f86,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : mworld] : (($false = ((mrel @ '#a' @ mactual @ X1))) | (((~ (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ X1 @ Y0) => (p @ Y0)))))) = $true) | ((((mrel @ '#b' @ mactual @ X2) => (p @ X2))) = $true)) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f85])).
% 0.21/0.30 thf(f87,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : mworld] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ X1 @ Y0) => (p @ Y0))))) = $false) | ((((mrel @ '#b' @ mactual @ X2) => (p @ X2))) = $true) | ($false = ((mrel @ '#a' @ mactual @ X1)))) )),
% 0.21/0.30 inference(not_proxy_clausification,[],[f86])).
% 0.21/0.30 thf(f88,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : mworld] : (($false = ((mrel @ '#a' @ mactual @ X1))) | ((((^[Y0 : mworld]: ((mrel @ '#b' @ X1 @ Y0) => (p @ Y0))) @ (sK0 @ X1))) = $false) | ((((mrel @ '#b' @ mactual @ X2) => (p @ X2))) = $true)) )),
% 0.21/0.30 inference(sigma_proxy_clausification,[],[f87])).
% 0.21/0.30 thf(f89,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : mworld] : (($false = ((mrel @ '#a' @ mactual @ X1))) | (((mrel @ '#b' @ mactual @ X2)) = $false) | ((((^[Y0 : mworld]: ((mrel @ '#b' @ X1 @ Y0) => (p @ Y0))) @ (sK0 @ X1))) = $false) | (((p @ X2)) = $true)) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f88])).
% 0.21/0.30 thf(f90,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : mworld] : ((((p @ X2)) = $true) | (((mrel @ '#b' @ mactual @ X2)) = $false) | ($false = ((mrel @ '#a' @ mactual @ X1))) | ((((mrel @ '#b' @ X1 @ (sK0 @ X1)) => (p @ (sK0 @ X1)))) = $false)) )),
% 0.21/0.30 inference(beta-eta_normalization,[],[f89])).
% 0.21/0.30 thf(f91,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : mworld] : ((((p @ X2)) = $true) | (((p @ (sK0 @ X1))) = $false) | ($false = ((mrel @ '#a' @ mactual @ X1))) | (((mrel @ '#b' @ mactual @ X2)) = $false)) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f90])).
% 0.21/0.30 thf(f92,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : mworld] : ((((p @ X2)) = $true) | ($false = ((mrel @ '#a' @ mactual @ X1))) | (((mrel @ '#b' @ X1 @ (sK0 @ X1))) = $true) | (((mrel @ '#b' @ mactual @ X2)) = $false)) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f90])).
% 0.21/0.30 thf(f93,plain,(
% 0.21/0.30 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#a' @ mactual @ Y0) => (~ (p @ Y0)))))) != $true)),
% 0.21/0.30 inference(beta-eta_normalization,[],[f77])).
% 0.21/0.30 thf(f94,plain,(
% 0.21/0.30 ((((^[Y0 : mworld]: ((mrel @ '#a' @ mactual @ Y0) => (~ (p @ Y0)))) @ sK1)) = $false)),
% 0.21/0.30 inference(sigma_proxy_clausification,[],[f93])).
% 0.21/0.30 thf(f95,plain,(
% 0.21/0.30 ($false = (((mrel @ '#a' @ mactual @ sK1) => (~ (p @ sK1)))))),
% 0.21/0.30 inference(beta-eta_normalization,[],[f94])).
% 0.21/0.30 thf(f96,plain,(
% 0.21/0.30 ($false = ((~ (p @ sK1))))),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f95])).
% 0.21/0.30 thf(f97,plain,(
% 0.21/0.30 (((mrel @ '#a' @ mactual @ sK1)) = $true)),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f95])).
% 0.21/0.30 thf(f98,plain,(
% 0.21/0.30 (((p @ sK1)) = $true)),
% 0.21/0.30 inference(not_proxy_clausification,[],[f96])).
% 0.21/0.30 thf(f99,plain,(
% 0.21/0.30 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#a' @ mactual @ Y0) => ((p @ Y0) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b' @ Y0 @ Y1) => (p @ Y1))))))))) = $true)),
% 0.21/0.30 inference(beta-eta_normalization,[],[f76])).
% 0.21/0.30 thf(f100,plain,(
% 0.21/0.30 ( ! [X1 : mworld] : (((((^[Y0 : mworld]: ((mrel @ '#a' @ mactual @ Y0) => ((p @ Y0) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b' @ Y0 @ Y1) => (p @ Y1))))))) @ X1)) = $true)) )),
% 0.21/0.30 inference(pi_proxy_clausification,[],[f99])).
% 0.21/0.30 thf(f101,plain,(
% 0.21/0.30 ( ! [X1 : mworld] : (((((mrel @ '#a' @ mactual @ X1) => ((p @ X1) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ X1 @ Y0) => (p @ Y0))))))) = $true)) )),
% 0.21/0.30 inference(beta-eta_normalization,[],[f100])).
% 0.21/0.30 thf(f102,plain,(
% 0.21/0.30 ( ! [X1 : mworld] : (((((p @ X1) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ X1 @ Y0) => (p @ Y0)))))) = $true) | ($false = ((mrel @ '#a' @ mactual @ X1)))) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f101])).
% 0.21/0.30 thf(f103,plain,(
% 0.21/0.30 ( ! [X1 : mworld] : ((((p @ X1)) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ X1 @ Y0) => (p @ Y0))))) = $true) | ($false = ((mrel @ '#a' @ mactual @ X1)))) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f102])).
% 0.21/0.30 thf(f104,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : mworld] : (((((^[Y0 : mworld]: ((mrel @ '#b' @ X1 @ Y0) => (p @ Y0))) @ X2)) = $true) | ($false = ((mrel @ '#a' @ mactual @ X1))) | (((p @ X1)) = $false)) )),
% 0.21/0.30 inference(pi_proxy_clausification,[],[f103])).
% 0.21/0.30 thf(f105,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : mworld] : (($false = ((mrel @ '#a' @ mactual @ X1))) | (((p @ X1)) = $false) | ($true = (((mrel @ '#b' @ X1 @ X2) => (p @ X2))))) )),
% 0.21/0.30 inference(beta-eta_normalization,[],[f104])).
% 0.21/0.30 thf(f106,plain,(
% 0.21/0.30 ( ! [X2 : mworld,X1 : mworld] : (($false = ((mrel @ '#a' @ mactual @ X1))) | (((mrel @ '#b' @ X1 @ X2)) = $false) | (((p @ X2)) = $true) | (((p @ X1)) = $false)) )),
% 0.21/0.30 inference(imp_proxy_clausification,[],[f105])).
% 0.21/0.30 thf(f108,definition,(
% 0.21/0.30 spl2_1 <=> ! [X2 : mworld] : ((((p @ X2)) = $true) | (((mrel @ '#b' @ mactual @ X2)) = $false))),
% 0.21/0.30 introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition])).
% 0.21/0.30 thf(f109,plain,(
% 0.21/0.30 ( ! [X2 : mworld] : ((((mrel @ '#b' @ mactual @ X2)) = $false) | (((p @ X2)) = $true)) ) | ~spl2_1),
% 0.21/0.30 inference(avatar_component_clause,[],[f108])).
% 0.21/0.30 thf(f111,definition,(
% 0.21/0.30 spl2_2 <=> ! [X1 : mworld] : (($false = ((mrel @ '#a' @ mactual @ X1))) | (((mrel @ '#b' @ X1 @ (sK0 @ X1))) = $true))),
% 0.21/0.30 introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition])).
% 0.21/0.30 thf(f112,plain,(
% 0.21/0.30 ( ! [X1 : mworld] : ((((mrel @ '#b' @ X1 @ (sK0 @ X1))) = $true) | ($false = ((mrel @ '#a' @ mactual @ X1)))) ) | ~spl2_2),
% 0.21/0.30 inference(avatar_component_clause,[],[f111])).
% 0.21/0.30 thf(f113,plain,(
% 0.21/0.30 spl2_1 | spl2_2),
% 0.21/0.30 inference(avatar_split_clause,[],[f92,f111,f108])).
% 0.21/0.30 thf(f115,definition,(
% 0.21/0.30 spl2_3 <=> ! [X1 : mworld] : ((((p @ (sK0 @ X1))) = $false) | ($false = ((mrel @ '#a' @ mactual @ X1))))),
% 0.21/0.30 introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition])).
% 0.21/0.30 thf(f116,plain,(
% 0.21/0.30 ( ! [X1 : mworld] : (($false = ((mrel @ '#a' @ mactual @ X1))) | (((p @ (sK0 @ X1))) = $false)) ) | ~spl2_3),
% 0.21/0.30 inference(avatar_component_clause,[],[f115])).
% 0.21/0.30 thf(f117,plain,(
% 0.21/0.30 spl2_3 | spl2_1),
% 0.21/0.30 inference(avatar_split_clause,[],[f91,f108,f115])).
% 0.21/0.30 thf(f143,plain,(
% 0.21/0.30 ($false = ((p @ (sK0 @ sK1)))) | ($false = $true) | ~spl2_3),
% 0.21/0.30 inference(constrained_superposition,[],[f97,f116])).
% 0.21/0.30 thf(f146,plain,(
% 0.21/0.30 ($false = ((p @ (sK0 @ sK1)))) | ~spl2_3),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f143])).
% 0.21/0.30 thf(f154,plain,(
% 0.21/0.30 ( ! [X0 : mworld] : ((((mrel @ '#a' @ X0 @ mactual)) != $true) | ($true != $true) | ($true = ((mrel @ '#a' @ X0 @ sK1)))) )),
% 0.21/0.30 inference(constrained_superposition,[],[f60,f97])).
% 0.21/0.30 thf(f156,plain,(
% 0.21/0.30 ( ! [X0 : mworld] : ((((mrel @ '#a' @ X0 @ mactual)) != $true) | ($true = ((mrel @ '#a' @ X0 @ sK1)))) )),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f154])).
% 0.21/0.30 thf(f170,plain,(
% 0.21/0.30 ( ! [X0 : mworld] : (($true = ((mrel @ '#a' @ X0 @ sK1))) | ($false = ((mrel @ '#a' @ X0 @ mactual))) | ($true != $true)) )),
% 0.21/0.30 inference(constrained_superposition,[],[f156,f73])).
% 0.21/0.30 thf(f171,plain,(
% 0.21/0.30 ( ! [X0 : mworld] : (($true = ((mrel @ '#a' @ X0 @ sK1))) | ($false = ((mrel @ '#a' @ X0 @ mactual)))) )),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f170])).
% 0.21/0.30 thf(f173,plain,(
% 0.21/0.30 ( ! [X0 : mworld] : (($false = ((mrel @ '#a' @ mactual @ X0))) | ($true = ((p @ (sK0 @ X0)))) | ($false = ((mrel @ '#a' @ mactual @ X0))) | ($false = ((p @ X0))) | ($false = $true)) ) | ~spl2_2),
% 0.21/0.30 inference(constrained_superposition,[],[f112,f106])).
% 0.21/0.30 thf(f180,plain,(
% 0.21/0.30 ( ! [X0 : mworld] : (($false = ((mrel @ '#a' @ mactual @ X0))) | ($false = ((p @ X0))) | ($false = $true) | ($true = ((p @ (sK0 @ X0))))) ) | ~spl2_2),
% 0.21/0.30 inference(duplicate_literal_removal,[],[f173])).
% 0.21/0.30 thf(f181,plain,(
% 0.21/0.30 ( ! [X0 : mworld] : (($false = ((mrel @ '#a' @ mactual @ X0))) | ($true = ((p @ (sK0 @ X0)))) | ($false = ((p @ X0)))) ) | ~spl2_2),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f180])).
% 0.21/0.30 thf(f196,plain,(
% 0.21/0.30 ($true = ((p @ (sK0 @ sK1)))) | ($false = ((mrel @ '#a' @ mactual @ mactual))) | ($false = $true) | ($false = ((p @ sK1))) | ~spl2_2),
% 0.21/0.30 inference(constrained_superposition,[],[f171,f181])).
% 0.21/0.30 thf(f198,plain,(
% 0.21/0.30 ($false = ((p @ sK1))) | ($true = ((p @ (sK0 @ sK1)))) | ($false = ((mrel @ '#a' @ mactual @ mactual))) | ~spl2_2),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f196])).
% 0.21/0.30 thf(f207,plain,(
% 0.21/0.30 ($true = ((p @ (sK0 @ sK1)))) | ($false = $true) | ($false = ((mrel @ '#a' @ mactual @ mactual))) | ~spl2_2),
% 0.21/0.30 inference(forward_demodulation,[],[f198,f98])).
% 0.21/0.30 thf(f208,plain,(
% 0.21/0.30 ($false = ((mrel @ '#a' @ mactual @ mactual))) | ($true = ((p @ (sK0 @ sK1)))) | ~spl2_2),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f207])).
% 0.21/0.30 thf(f215,plain,(
% 0.21/0.30 ($false = ((mrel @ '#a' @ mactual @ mactual))) | ($false = $true) | (~spl2_2 | ~spl2_3)),
% 0.21/0.30 inference(forward_demodulation,[],[f208,f146])).
% 0.21/0.30 thf(f216,plain,(
% 0.21/0.30 ($false = ((mrel @ '#a' @ mactual @ mactual))) | (~spl2_2 | ~spl2_3)),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f215])).
% 0.21/0.30 thf(f223,plain,(
% 0.21/0.30 ($false = $true) | (~spl2_2 | ~spl2_3)),
% 0.21/0.30 inference(forward_demodulation,[],[f216,f62])).
% 0.21/0.30 thf(f224,plain,(
% 0.21/0.30 $false | (~spl2_2 | ~spl2_3)),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f223])).
% 0.21/0.30 thf(f225,plain,(
% 0.21/0.30 ~spl2_2 | ~spl2_3),
% 0.21/0.30 inference(avatar_contradiction_clause,[],[f224])).
% 0.21/0.30 thf(f231,plain,(
% 0.21/0.30 ($false = $true) | (((p @ mactual)) = $true) | ~spl2_1),
% 0.21/0.30 inference(constrained_superposition,[],[f63,f109])).
% 0.21/0.30 thf(f237,plain,(
% 0.21/0.30 (((p @ mactual)) = $true) | ~spl2_1),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f231])).
% 0.21/0.30 thf(f244,plain,(
% 0.21/0.30 ($false = $true) | ~spl2_1),
% 0.21/0.30 inference(forward_demodulation,[],[f237,f79])).
% 0.21/0.30 thf(f245,plain,(
% 0.21/0.30 $false | ~spl2_1),
% 0.21/0.30 inference(trivial_inequality_removal,[],[f244])).
% 0.21/0.30 thf(f246,plain,(
% 0.21/0.30 ~spl2_1),
% 0.21/0.30 inference(avatar_contradiction_clause,[],[f245])).
% 0.21/0.30 cnf(s1, plain, spl2_1 | spl2_2, inference(sat_conversion,[],[f113])).
% 0.21/0.30 cnf(s2, plain, spl2_1 | spl2_3, inference(sat_conversion,[],[f117])).
% 0.21/0.30 cnf(s5, plain, ~spl2_2 | ~spl2_3, inference(sat_conversion,[],[f225])).
% 0.21/0.30 cnf(s7, plain, ~spl2_1, inference(sat_conversion,[],[f246])).
% 0.21/0.30 cnf(s8, plain, spl2_3, inference(rat,[],[s2,s7])).
% 0.21/0.30 cnf(s9, plain, ~spl2_2, inference(rat,[],[s5,s8])).
% 0.21/0.30 cnf(s10, plain, $false, inference(rat,[],[s1,s9,s7])).
% 0.21/0.30 thf(f249,plain,(
% 0.21/0.30 $false),
% 0.21/0.30 inference(avatar_sat_refutation,[],[s10])).
% 0.21/0.30 % SZS output end Proof for theBenchmark
% 0.21/0.30 % (1951532)------------------------------
% 0.21/0.30 % (1951532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (1951532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (1951532)CaDiCaL version: 2.1.3
% 0.21/0.30 % (1951532)Termination reason: Refutation
% 0.21/0.30 % (1951532)Time elapsed: 0.007 s
% 0.21/0.30 % (1951532)Peak memory usage: 13 MB
% 0.21/0.30 % (1951532)Instructions burned: 23 (million)
% 0.21/0.30 % (1951522)Success in time 0.046 s
% 0.21/0.30 % Vampire exiting
%------------------------------------------------------------------------------