%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV492^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 08:38:44 AM UTC 2026
% Result : Theorem 0.22s 0.27s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV492^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 15:55:58 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 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
% 0.22/0.27 % (774902)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.27 % (774912)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=222706170:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.27 % (774919)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.27 % (774919)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
% 0.22/0.27 % (774914)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3781064479:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.27 % (774916)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3903859042:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.27 % (774913)lrs+10_16_si=on:nwc=1.5:random_seed=3039609410:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.27 % (774919)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=3572238036:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.27 % (774915)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=2268036989: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)
% 0.22/0.27 % (774918)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3414609704:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.27 % (774912) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-774902-774912"...
% 0.22/0.27 % (774914)Refutation not found, incomplete strategy
% 0.22/0.27 % (774914)------------------------------
% 0.22/0.27 % (774914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.27 % (774914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.27 % (774914)CaDiCaL version: 2.1.3
% 0.22/0.27 % (774914)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.27 % (774914)Time elapsed: 0.003 s
% 0.22/0.27 % (774914)Peak memory usage: 12 MB
% 0.22/0.27 % (774914)Instructions burned: 3 (million)
% 0.22/0.27 % (774914)------------------------------
% 0.22/0.27 % (774914)------------------------------
% 0.22/0.27 % (774912)...printing done.
% 0.22/0.27 % (774912)Refutation found. Thanks to Tanya!
% 0.22/0.27 % SZS status Theorem for theBenchmark
% 0.22/0.27 % SZS output start Proof for theBenchmark
% 0.22/0.27 thf(type_def_5, type, 'type/realax/real': $tType).
% 0.22/0.27 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.27 thf(func_def_0, type, 'const/sets/sup': (('type/realax/real' > $o) > 'type/realax/real')).
% 0.22/0.27 thf(func_def_1, type, 'const/sets/IN': !>[X0: $tType]:((X0 > (X0 > $o) > $o))).
% 0.22/0.27 thf(func_def_2, type, 'const/sets/FINITE': !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.22/0.27 thf(func_def_3, type, 'const/sets/EMPTY': !>[X0: $tType]:((X0 > $o))).
% 0.22/0.27 thf(func_def_4, type, 'const/realax/real_le': ('type/realax/real' > 'type/realax/real' > $o)).
% 0.22/0.27 thf(func_def_8, type, sK0: ('type/realax/real' > ('type/realax/real' > $o) > 'type/realax/real')).
% 0.22/0.27 thf(func_def_9, type, sK1: ('type/realax/real' > $o)).
% 0.22/0.27 thf(func_def_10, type, sK2: 'type/realax/real').
% 0.22/0.27 thf(func_def_11, type, sK3: 'type/realax/real').
% 0.22/0.27 thf(func_def_12, type, sK4: ('type/realax/real' > ('type/realax/real' > $o) > 'type/realax/real')).
% 0.22/0.27 thf(func_def_13, type, vNOT: ($o > $o)).
% 0.22/0.27 thf(func_def_15, type, sK6: 'type/realax/real').
% 0.22/0.27 thf(f1,axiom,(
% 0.22/0.27 ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/realax/real_le' @ X0 @ X1) & ('const/realax/real_le' @ X1 @ X0) = (X0 = X1))),
% 0.22/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realax/REAL_LE_ANTISYM_')).
% 0.22/0.27 thf(f2,axiom,(
% 0.22/0.27 ! [X0 : 'type/realax/real',X1 : 'type/realax/real',X2 : 'type/realax/real'] : ((('const/realax/real_le' @ X0 @ X1) & ('const/realax/real_le' @ X1 @ X2)) => ('const/realax/real_le' @ X0 @ X2))),
% 0.22/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realax/REAL_LE_TRANS_')).
% 0.22/0.27 thf(f4,axiom,(
% 0.22/0.27 ! [X1 : 'type/realax/real',X0 : ('type/realax/real' > $o)] : (((X0 != 'const/sets/EMPTY' @ 'type/realax/real') & ('const/sets/FINITE' @ 'type/realax/real' @ X0)) => ((('const/realax/real_le' @ X1 @ ('const/sets/sup' @ X0))) = ? [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) & ('const/realax/real_le' @ X1 @ X2))))),
% 0.22/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/REAL_LE_SUP_FINITE_')).
% 0.22/0.27 thf(f5,axiom,(
% 0.22/0.27 ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (((X0 != 'const/sets/EMPTY' @ 'type/realax/real') & ('const/sets/FINITE' @ 'type/realax/real' @ X0)) => (! [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) => ('const/realax/real_le' @ X2 @ X1)) = (('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1))))),
% 0.22/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/REAL_SUP_LE_FINITE_')).
% 0.22/0.27 thf(f6,conjecture,(
% 0.22/0.27 ! [X0 : 'type/realax/real',X1 : ('type/realax/real' > $o)] : (((X1 != 'const/sets/EMPTY' @ 'type/realax/real') & ('const/sets/FINITE' @ 'type/realax/real' @ X1)) => (((('const/sets/sup' @ X1)) = X0) = ('const/sets/IN' @ 'type/realax/real' @ X0 @ X1) & ! [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X1) => ('const/realax/real_le' @ X2 @ X0))))),
% 0.22/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/SUP_UNIQUE_FINITE_')).
% 0.22/0.27 thf(f7,negated_conjecture,(
% 0.22/0.27 ~ ! [X0 : 'type/realax/real',X1 : ('type/realax/real' > $o)] : (((X1 != 'const/sets/EMPTY' @ 'type/realax/real') & ('const/sets/FINITE' @ 'type/realax/real' @ X1)) => (((('const/sets/sup' @ X1)) = X0) = ('const/sets/IN' @ 'type/realax/real' @ X0 @ X1) & ! [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X1) => ('const/realax/real_le' @ X2 @ X0))))),
% 0.22/0.27 inference(negated_conjecture,[status(cth)],[f6])).
% 0.22/0.27 thf(f10,plain,(
% 0.22/0.27 ! [X0 : 'type/realax/real',X1 : 'type/realax/real',X2 : 'type/realax/real'] : ((('const/realax/real_le' @ X0 @ X1) & ('const/realax/real_le' @ X1 @ X2)) => ('const/realax/real_le' @ X0 @ X2))),
% 0.22/0.27 inference(rectify,[],[f2])).
% 0.22/0.27 thf(f11,plain,(
% 0.22/0.27 ! [X1 : 'type/realax/real',X2 : 'type/realax/real',X0 : 'type/realax/real'] : ((((('const/realax/real_le' @ X0 @ X1)) = $true) & ((('const/realax/real_le' @ X1 @ X2)) = $true)) => ((('const/realax/real_le' @ X0 @ X2)) = $true))),
% 0.22/0.27 inference(fool_elimination,[],[f10])).
% 0.22/0.27 thf(f12,plain,(
% 0.22/0.27 ! [X0 : 'type/realax/real',X1 : ('type/realax/real' > $o)] : ((('const/sets/EMPTY' @ 'type/realax/real' != X1) & ('const/sets/FINITE' @ 'type/realax/real' @ X1)) => ((('const/realax/real_le' @ X0 @ ('const/sets/sup' @ X1))) = ? [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X1) & ('const/realax/real_le' @ X0 @ X2))))),
% 0.22/0.27 inference(rectify,[],[f4])).
% 0.22/0.27 thf(f13,plain,(
% 0.22/0.27 ! [X0 : 'type/realax/real',X1 : ('type/realax/real' > $o)] : ((((('const/sets/FINITE' @ 'type/realax/real' @ X1)) = $true) & ('const/sets/EMPTY' @ 'type/realax/real' != X1)) => (? [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1)) = $true) & ((('const/realax/real_le' @ X0 @ X2)) = $true)) <=> ($true = (('const/realax/real_le' @ X0 @ ('const/sets/sup' @ X1))))))),
% 0.22/0.27 inference(fool_elimination,[],[f12])).
% 0.22/0.27 thf(f14,plain,(
% 0.22/0.27 ~ ! [X0 : 'type/realax/real',X1 : ('type/realax/real' > $o)] : (((X1 != 'const/sets/EMPTY' @ 'type/realax/real') & ('const/sets/FINITE' @ 'type/realax/real' @ X1)) => (((('const/sets/sup' @ X1)) = X0) = ('const/sets/IN' @ 'type/realax/real' @ X0 @ X1) & ! [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X1) => ('const/realax/real_le' @ X2 @ X0))))),
% 0.22/0.27 inference(rectify,[],[f7])).
% 0.22/0.27 thf(f15,plain,(
% 0.22/0.27 ~ ! [X0 : 'type/realax/real',X1 : ('type/realax/real' > $o)] : ((((('const/sets/FINITE' @ 'type/realax/real' @ X1)) = $true) & ('const/sets/EMPTY' @ 'type/realax/real' != X1)) => (((('const/sets/sup' @ X1)) = X0) <=> (((('const/sets/IN' @ 'type/realax/real' @ X0 @ X1)) = $true) & ! [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1)) = $true) => ((('const/realax/real_le' @ X2 @ X0)) = $true)))))),
% 0.22/0.27 inference(fool_elimination,[],[f14])).
% 0.22/0.27 thf(f16,plain,(
% 0.22/0.27 ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (((X0 != 'const/sets/EMPTY' @ 'type/realax/real') & ('const/sets/FINITE' @ 'type/realax/real' @ X0)) => (! [X2 : 'type/realax/real'] : (('const/sets/IN' @ 'type/realax/real' @ X2 @ X0) => ('const/realax/real_le' @ X2 @ X1)) = (('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1))))),
% 0.22/0.27 inference(rectify,[],[f5])).
% 0.22/0.27 thf(f17,plain,(
% 0.22/0.27 ! [X1 : 'type/realax/real',X0 : ('type/realax/real' > $o)] : ((((('const/sets/FINITE' @ 'type/realax/real' @ X0)) = $true) & ('const/sets/EMPTY' @ 'type/realax/real' != X0)) => (! [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X0)) = $true) => ((('const/realax/real_le' @ X2 @ X1)) = $true)) <=> ((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1)) = $true)))),
% 0.22/0.27 inference(fool_elimination,[],[f16])).
% 0.22/0.27 thf(f18,plain,(
% 0.22/0.27 ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/realax/real_le' @ X0 @ X1) & ('const/realax/real_le' @ X1 @ X0) = (X0 = X1))),
% 0.22/0.27 inference(rectify,[],[f1])).
% 0.22/0.27 thf(f19,plain,(
% 0.22/0.27 ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((((('const/realax/real_le' @ X0 @ X1)) = $true) & ((('const/realax/real_le' @ X1 @ X0)) = $true)) <=> (X0 = X1))),
% 0.22/0.27 inference(fool_elimination,[],[f18])).
% 0.22/0.27 thf(f20,plain,(
% 0.22/0.27 ! [X0 : 'type/realax/real',X1 : ('type/realax/real' > $o)] : ((? [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1)) = $true) & ((('const/realax/real_le' @ X0 @ X2)) = $true)) <=> ($true = (('const/realax/real_le' @ X0 @ ('const/sets/sup' @ X1))))) | (((('const/sets/FINITE' @ 'type/realax/real' @ X1)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X1)))),
% 0.22/0.27 inference(ennf_transformation,[],[f13])).
% 0.22/0.27 thf(f21,plain,(
% 0.22/0.27 ! [X1 : ('type/realax/real' > $o),X0 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | (? [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1)) = $true) & ((('const/realax/real_le' @ X0 @ X2)) = $true)) <=> ($true = (('const/realax/real_le' @ X0 @ ('const/sets/sup' @ X1))))) | ((('const/sets/FINITE' @ 'type/realax/real' @ X1)) != $true))),
% 0.22/0.27 inference(flattening,[],[f20])).
% 0.22/0.27 thf(f22,plain,(
% 0.22/0.27 ? [X0 : 'type/realax/real',X1 : ('type/realax/real' > $o)] : (((! [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1)) != $true) | ((('const/realax/real_le' @ X2 @ X0)) = $true)) & ((('const/sets/IN' @ 'type/realax/real' @ X0 @ X1)) = $true)) <~> ((('const/sets/sup' @ X1)) = X0)) & (((('const/sets/FINITE' @ 'type/realax/real' @ X1)) = $true) & ('const/sets/EMPTY' @ 'type/realax/real' != X1)))),
% 0.22/0.27 inference(ennf_transformation,[],[f15])).
% 0.22/0.27 thf(f23,plain,(
% 0.22/0.27 ? [X1 : ('type/realax/real' > $o),X0 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' != X1) & ((! [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1)) != $true) | ((('const/realax/real_le' @ X2 @ X0)) = $true)) & ((('const/sets/IN' @ 'type/realax/real' @ X0 @ X1)) = $true)) <~> ((('const/sets/sup' @ X1)) = X0)) & ((('const/sets/FINITE' @ 'type/realax/real' @ X1)) = $true))),
% 0.22/0.27 inference(flattening,[],[f22])).
% 0.22/0.27 thf(f24,plain,(
% 0.22/0.27 ! [X1 : 'type/realax/real',X2 : 'type/realax/real',X0 : 'type/realax/real'] : (((('const/realax/real_le' @ X0 @ X2)) = $true) | (((('const/realax/real_le' @ X0 @ X1)) != $true) | ((('const/realax/real_le' @ X1 @ X2)) != $true)))),
% 0.22/0.27 inference(ennf_transformation,[],[f11])).
% 0.22/0.27 thf(f25,plain,(
% 0.22/0.27 ! [X1 : 'type/realax/real',X2 : 'type/realax/real',X0 : 'type/realax/real'] : (((('const/realax/real_le' @ X0 @ X2)) = $true) | ((('const/realax/real_le' @ X1 @ X2)) != $true) | ((('const/realax/real_le' @ X0 @ X1)) != $true))),
% 0.22/0.27 inference(flattening,[],[f24])).
% 0.22/0.27 thf(f26,plain,(
% 0.22/0.27 ! [X1 : 'type/realax/real',X0 : ('type/realax/real' > $o)] : ((((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1)) = $true) <=> ! [X2 : 'type/realax/real'] : (((('const/realax/real_le' @ X2 @ X1)) = $true) | ((('const/sets/IN' @ 'type/realax/real' @ X2 @ X0)) != $true))) | (((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0)))),
% 0.22/0.27 inference(ennf_transformation,[],[f17])).
% 0.22/0.27 thf(f27,plain,(
% 0.22/0.27 ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : ((((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1)) = $true) <=> ! [X2 : 'type/realax/real'] : (((('const/realax/real_le' @ X2 @ X1)) = $true) | ((('const/sets/IN' @ 'type/realax/real' @ X2 @ X0)) != $true))) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0))),
% 0.22/0.27 inference(flattening,[],[f26])).
% 0.22/0.27 thf(f28,plain,(
% 0.22/0.27 ! [X1 : ('type/realax/real' > $o),X0 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' = X1) | ((? [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1)) = $true) & ((('const/realax/real_le' @ X0 @ X2)) = $true)) | ($true != (('const/realax/real_le' @ X0 @ ('const/sets/sup' @ X1))))) & (($true = (('const/realax/real_le' @ X0 @ ('const/sets/sup' @ X1)))) | ! [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1)) != $true) | ((('const/realax/real_le' @ X0 @ X2)) != $true)))) | ((('const/sets/FINITE' @ 'type/realax/real' @ X1)) != $true))),
% 0.22/0.27 inference(nnf_transformation,[],[f21])).
% 0.22/0.27 thf(f29,plain,(
% 0.22/0.27 ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' = X0) | ((? [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X0)) = $true) & ((('const/realax/real_le' @ X1 @ X2)) = $true)) | ((('const/realax/real_le' @ X1 @ ('const/sets/sup' @ X0))) != $true)) & (((('const/realax/real_le' @ X1 @ ('const/sets/sup' @ X0))) = $true) | ! [X3 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X3 @ X0)) != $true) | ((('const/realax/real_le' @ X1 @ X3)) != $true)))) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true))),
% 0.22/0.27 inference(rectify,[],[f28])).
% 0.22/0.27 thf(f30,plain,(
% 0.22/0.27 ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' = X0) | (((($true = (('const/sets/IN' @ 'type/realax/real' @ (sK0 @ X1 @ X0) @ X0))) & ($true = (('const/realax/real_le' @ X1 @ (sK0 @ X1 @ X0))))) | ((('const/realax/real_le' @ X1 @ ('const/sets/sup' @ X0))) != $true)) & (((('const/realax/real_le' @ X1 @ ('const/sets/sup' @ X0))) = $true) | ! [X3 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X3 @ X0)) != $true) | ((('const/realax/real_le' @ X1 @ X3)) != $true)))) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true))),
% 0.22/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,sK0 @ X1 @ X0)],[f29])).
% 0.22/0.27 thf(f31,plain,(
% 0.22/0.27 ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (((((('const/realax/real_le' @ X0 @ X1)) = $true) & ((('const/realax/real_le' @ X1 @ X0)) = $true)) | (X0 != X1)) & ((X0 = X1) | (((('const/realax/real_le' @ X0 @ X1)) != $true) | ((('const/realax/real_le' @ X1 @ X0)) != $true))))),
% 0.22/0.27 inference(nnf_transformation,[],[f19])).
% 0.22/0.27 thf(f32,plain,(
% 0.22/0.27 ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (((((('const/realax/real_le' @ X0 @ X1)) = $true) & ((('const/realax/real_le' @ X1 @ X0)) = $true)) | (X0 != X1)) & ((X0 = X1) | ((('const/realax/real_le' @ X0 @ X1)) != $true) | ((('const/realax/real_le' @ X1 @ X0)) != $true)))),
% 0.22/0.27 inference(flattening,[],[f31])).
% 0.22/0.27 thf(f33,plain,(
% 0.22/0.27 ? [X1 : ('type/realax/real' > $o),X0 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' != X1) & ((((('const/sets/sup' @ X1)) != X0) | (? [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1)) = $true) & ((('const/realax/real_le' @ X2 @ X0)) != $true)) | ((('const/sets/IN' @ 'type/realax/real' @ X0 @ X1)) != $true))) & (((('const/sets/sup' @ X1)) = X0) | (! [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1)) != $true) | ((('const/realax/real_le' @ X2 @ X0)) = $true)) & ((('const/sets/IN' @ 'type/realax/real' @ X0 @ X1)) = $true)))) & ((('const/sets/FINITE' @ 'type/realax/real' @ X1)) = $true))),
% 0.22/0.27 inference(nnf_transformation,[],[f23])).
% 0.22/0.27 thf(f34,plain,(
% 0.22/0.27 ? [X1 : ('type/realax/real' > $o),X0 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' != X1) & (((('const/sets/sup' @ X1)) != X0) | ? [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1)) = $true) & ((('const/realax/real_le' @ X2 @ X0)) != $true)) | ((('const/sets/IN' @ 'type/realax/real' @ X0 @ X1)) != $true)) & (((('const/sets/sup' @ X1)) = X0) | (! [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X1)) != $true) | ((('const/realax/real_le' @ X2 @ X0)) = $true)) & ((('const/sets/IN' @ 'type/realax/real' @ X0 @ X1)) = $true))) & ((('const/sets/FINITE' @ 'type/realax/real' @ X1)) = $true))),
% 0.22/0.27 inference(flattening,[],[f33])).
% 0.22/0.27 thf(f35,plain,(
% 0.22/0.27 ? [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (('const/sets/EMPTY' @ 'type/realax/real' != X0) & (((('const/sets/sup' @ X0)) != X1) | ? [X2 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X2 @ X0)) = $true) & ((('const/realax/real_le' @ X2 @ X1)) != $true)) | ((('const/sets/IN' @ 'type/realax/real' @ X1 @ X0)) != $true)) & (((('const/sets/sup' @ X0)) = X1) | (! [X3 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X3 @ X0)) != $true) | ((('const/realax/real_le' @ X3 @ X1)) = $true)) & ((('const/sets/IN' @ 'type/realax/real' @ X1 @ X0)) = $true))) & ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) = $true))),
% 0.22/0.27 inference(rectify,[],[f34])).
% 0.22/0.27 thf(f36,plain,(
% 0.22/0.27 ('const/sets/EMPTY' @ 'type/realax/real' != sK1) & (((('const/sets/sup' @ sK1)) != sK2) | (((('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK1)) = $true) & ($true != (('const/realax/real_le' @ sK3 @ sK2)))) | ((('const/sets/IN' @ 'type/realax/real' @ sK2 @ sK1)) != $true)) & (((('const/sets/sup' @ sK1)) = sK2) | (! [X3 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X3 @ sK1)) != $true) | ((('const/realax/real_le' @ X3 @ sK2)) = $true)) & ((('const/sets/IN' @ 'type/realax/real' @ sK2 @ sK1)) = $true))) & ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) = $true)),
% 0.22/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f35])).
% 0.22/0.27 thf(f37,plain,(
% 0.22/0.27 ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (((((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1)) = $true) | ? [X2 : 'type/realax/real'] : (((('const/realax/real_le' @ X2 @ X1)) != $true) & ((('const/sets/IN' @ 'type/realax/real' @ X2 @ X0)) = $true))) & (! [X2 : 'type/realax/real'] : (((('const/realax/real_le' @ X2 @ X1)) = $true) | ((('const/sets/IN' @ 'type/realax/real' @ X2 @ X0)) != $true)) | ((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1)) != $true))) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0))),
% 0.22/0.27 inference(nnf_transformation,[],[f27])).
% 0.22/0.27 thf(f38,plain,(
% 0.22/0.27 ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (((((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1)) = $true) | ? [X2 : 'type/realax/real'] : (((('const/realax/real_le' @ X2 @ X1)) != $true) & ((('const/sets/IN' @ 'type/realax/real' @ X2 @ X0)) = $true))) & (! [X3 : 'type/realax/real'] : (((('const/realax/real_le' @ X3 @ X1)) = $true) | ((('const/sets/IN' @ 'type/realax/real' @ X3 @ X0)) != $true)) | ((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1)) != $true))) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0))),
% 0.22/0.27 inference(rectify,[],[f37])).
% 0.22/0.27 thf(f39,plain,(
% 0.22/0.27 ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (((((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1)) = $true) | (((('const/realax/real_le' @ (sK4 @ X1 @ X0) @ X1)) != $true) & ((('const/sets/IN' @ 'type/realax/real' @ (sK4 @ X1 @ X0) @ X0)) = $true))) & (! [X3 : 'type/realax/real'] : (((('const/realax/real_le' @ X3 @ X1)) = $true) | ((('const/sets/IN' @ 'type/realax/real' @ X3 @ X0)) != $true)) | ((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1)) != $true))) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0))),
% 0.22/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,sK0 @ X1 @ X0)],[f38])).
% 0.22/0.27 thf(f40,plain,(
% 0.22/0.27 ! [X0 : 'type/realax/real',X1 : 'type/realax/real',X2 : 'type/realax/real'] : (((('const/realax/real_le' @ X2 @ X1)) = $true) | ((('const/realax/real_le' @ X0 @ X1)) != $true) | ((('const/realax/real_le' @ X2 @ X0)) != $true))),
% 0.22/0.27 inference(rectify,[],[f25])).
% 0.22/0.27 thf(f41,plain,(
% 0.22/0.27 ( ! [X3 : 'type/realax/real',X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X3 @ X0)) != $true) | ((('const/realax/real_le' @ X1 @ X3)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ((('const/realax/real_le' @ X1 @ ('const/sets/sup' @ X0))) = $true)) )),
% 0.22/0.27 inference(cnf_transformation,[],[f30])).
% 0.22/0.27 thf(f42,plain,(
% 0.22/0.27 ( ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (((('const/realax/real_le' @ X1 @ ('const/sets/sup' @ X0))) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0) | ($true = (('const/realax/real_le' @ X1 @ (sK0 @ X1 @ X0)))) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true)) )),
% 0.22/0.27 inference(cnf_transformation,[],[f30])).
% 0.22/0.27 thf(f43,plain,(
% 0.22/0.27 ( ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (((('const/realax/real_le' @ X1 @ ('const/sets/sup' @ X0))) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ($true = (('const/sets/IN' @ 'type/realax/real' @ (sK0 @ X1 @ X0) @ X0)))) )),
% 0.22/0.27 inference(cnf_transformation,[],[f30])).
% 0.22/0.27 thf(f45,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (((('const/realax/real_le' @ X1 @ X0)) != $true) | (X0 = X1) | ((('const/realax/real_le' @ X0 @ X1)) != $true)) )),
% 0.22/0.27 inference(cnf_transformation,[],[f32])).
% 0.22/0.27 thf(f47,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (((('const/realax/real_le' @ X0 @ X1)) = $true) | (X0 != X1)) )),
% 0.22/0.27 inference(cnf_transformation,[],[f32])).
% 0.22/0.27 thf(f48,plain,(
% 0.22/0.27 ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) = $true)),
% 0.22/0.27 inference(cnf_transformation,[],[f36])).
% 0.22/0.27 thf(f49,plain,(
% 0.22/0.27 ((('const/sets/IN' @ 'type/realax/real' @ sK2 @ sK1)) = $true) | ((('const/sets/sup' @ sK1)) = sK2)),
% 0.22/0.27 inference(cnf_transformation,[],[f36])).
% 0.22/0.27 thf(f50,plain,(
% 0.22/0.27 ( ! [X3 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X3 @ sK1)) != $true) | ((('const/sets/sup' @ sK1)) = sK2) | ((('const/realax/real_le' @ X3 @ sK2)) = $true)) )),
% 0.22/0.27 inference(cnf_transformation,[],[f36])).
% 0.22/0.27 thf(f51,plain,(
% 0.22/0.27 ((('const/sets/sup' @ sK1)) != sK2) | ($true != (('const/realax/real_le' @ sK3 @ sK2))) | ((('const/sets/IN' @ 'type/realax/real' @ sK2 @ sK1)) != $true)),
% 0.22/0.27 inference(cnf_transformation,[],[f36])).
% 0.22/0.27 thf(f52,plain,(
% 0.22/0.27 ((('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK1)) = $true) | ((('const/sets/sup' @ sK1)) != sK2) | ((('const/sets/IN' @ 'type/realax/real' @ sK2 @ sK1)) != $true)),
% 0.22/0.27 inference(cnf_transformation,[],[f36])).
% 0.22/0.27 thf(f53,plain,(
% 0.22/0.27 ('const/sets/EMPTY' @ 'type/realax/real' != sK1)),
% 0.22/0.27 inference(cnf_transformation,[],[f36])).
% 0.22/0.27 thf(f54,plain,(
% 0.22/0.27 ( ! [X3 : 'type/realax/real',X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1)) != $true) | ((('const/realax/real_le' @ X3 @ X1)) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ((('const/sets/IN' @ 'type/realax/real' @ X3 @ X0)) != $true)) )),
% 0.22/0.27 inference(cnf_transformation,[],[f39])).
% 0.22/0.27 thf(f55,plain,(
% 0.22/0.27 ( ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1)) = $true) | ((('const/sets/IN' @ 'type/realax/real' @ (sK4 @ X1 @ X0) @ X0)) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0)) )),
% 0.22/0.27 inference(cnf_transformation,[],[f39])).
% 0.22/0.27 thf(f56,plain,(
% 0.22/0.27 ( ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (((('const/realax/real_le' @ (sK4 @ X1 @ X0) @ X1)) != $true) | ((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ X1)) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true)) )),
% 0.22/0.27 inference(cnf_transformation,[],[f39])).
% 0.22/0.27 thf(f57,plain,(
% 0.22/0.27 ( ! [X2 : 'type/realax/real',X0 : 'type/realax/real',X1 : 'type/realax/real'] : (((('const/realax/real_le' @ X2 @ X0)) != $true) | ((('const/realax/real_le' @ X2 @ X1)) = $true) | ((('const/realax/real_le' @ X0 @ X1)) != $true)) )),
% 0.22/0.27 inference(cnf_transformation,[],[f40])).
% 0.22/0.27 thf(f60,plain,(
% 0.22/0.27 ( ! [X1 : 'type/realax/real'] : (((('const/realax/real_le' @ X1 @ X1)) = $true)) )),
% 0.22/0.27 inference(equality_resolution,[],[f47])).
% 0.22/0.27 thf(f63,definition,(
% 0.22/0.27 spl5_1 <=> ((('const/sets/sup' @ sK1)) = sK2)),
% 0.22/0.27 introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition])).
% 0.22/0.27 thf(f64,plain,(
% 0.22/0.27 ((('const/sets/sup' @ sK1)) != sK2) | spl5_1),
% 0.22/0.27 inference(avatar_component_clause,[],[f63])).
% 0.22/0.27 thf(f65,plain,(
% 0.22/0.27 ((('const/sets/sup' @ sK1)) = sK2) | ~spl5_1),
% 0.22/0.27 inference(avatar_component_clause,[],[f63])).
% 0.22/0.27 thf(f67,definition,(
% 0.22/0.27 spl5_2 <=> ! [X3 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X3 @ sK1)) != $true) | ((('const/realax/real_le' @ X3 @ sK2)) = $true))),
% 0.22/0.27 introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition])).
% 0.22/0.27 thf(f68,plain,(
% 0.22/0.27 ( ! [X3 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X3 @ sK1)) != $true) | ((('const/realax/real_le' @ X3 @ sK2)) = $true)) ) | ~spl5_2),
% 0.22/0.27 inference(avatar_component_clause,[],[f67])).
% 0.22/0.27 thf(f69,plain,(
% 0.22/0.27 spl5_1 | spl5_2),
% 0.22/0.27 inference(avatar_split_clause,[],[f50,f67,f63])).
% 0.22/0.27 thf(f71,definition,(
% 0.22/0.27 spl5_3 <=> ((('const/sets/IN' @ 'type/realax/real' @ sK2 @ sK1)) = $true)),
% 0.22/0.27 introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition])).
% 0.22/0.27 thf(f72,plain,(
% 0.22/0.27 ((('const/sets/IN' @ 'type/realax/real' @ sK2 @ sK1)) = $true) | ~spl5_3),
% 0.22/0.27 inference(avatar_component_clause,[],[f71])).
% 0.22/0.27 thf(f73,plain,(
% 0.22/0.27 ((('const/sets/IN' @ 'type/realax/real' @ sK2 @ sK1)) != $true) | spl5_3),
% 0.22/0.27 inference(avatar_component_clause,[],[f71])).
% 0.22/0.27 thf(f75,definition,(
% 0.22/0.27 spl5_4 <=> ((('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK1)) = $true)),
% 0.22/0.27 introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition])).
% 0.22/0.27 thf(f77,plain,(
% 0.22/0.27 ((('const/sets/IN' @ 'type/realax/real' @ sK3 @ sK1)) = $true) | ~spl5_4),
% 0.22/0.27 inference(avatar_component_clause,[],[f75])).
% 0.22/0.27 thf(f78,plain,(
% 0.22/0.27 ~spl5_3 | ~spl5_1 | spl5_4),
% 0.22/0.27 inference(avatar_split_clause,[],[f52,f75,f63,f71])).
% 0.22/0.27 thf(f80,definition,(
% 0.22/0.27 spl5_5 <=> ($true = (('const/realax/real_le' @ sK3 @ sK2)))),
% 0.22/0.27 introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition])).
% 0.22/0.27 thf(f83,plain,(
% 0.22/0.27 ~spl5_5 | ~spl5_3 | ~spl5_1),
% 0.22/0.27 inference(avatar_split_clause,[],[f51,f63,f71,f80])).
% 0.22/0.27 thf(f84,plain,(
% 0.22/0.27 spl5_1 | spl5_3),
% 0.22/0.27 inference(avatar_split_clause,[],[f49,f71,f63])).
% 0.22/0.27 thf(f113,plain,(
% 0.22/0.27 ( ! [X0 : ('type/realax/real' > $o)] : (($true != $true) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0) | ((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ (sK0 @ ('const/sets/sup' @ X0) @ X0))) = $true)) )),
% 0.22/0.27 inference(constrained_superposition,[],[f42,f60])).
% 0.22/0.27 thf(f114,plain,(
% 0.22/0.27 ( ! [X0 : ('type/realax/real' > $o)] : (((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ((('const/realax/real_le' @ ('const/sets/sup' @ X0) @ (sK0 @ ('const/sets/sup' @ X0) @ X0))) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0)) )),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f113])).
% 0.22/0.27 thf(f115,plain,(
% 0.22/0.27 ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ($true = (('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1)))) | ($true != $true)),
% 0.22/0.27 inference(constrained_superposition,[],[f114,f48])).
% 0.22/0.27 thf(f116,plain,(
% 0.22/0.27 ($true = (('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1)))) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1)),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f115])).
% 0.22/0.27 thf(f117,plain,(
% 0.22/0.27 ($true = (('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1))))),
% 0.22/0.27 inference(forward_subsumption_resolution,[],[f116,f53])).
% 0.22/0.27 thf(f133,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (((('const/realax/real_le' @ X0 @ sK2)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ($true = (('const/realax/real_le' @ X0 @ ('const/sets/sup' @ sK1)))) | ($true != $true) | ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true)) ) | ~spl5_3),
% 0.22/0.27 inference(constrained_superposition,[],[f41,f72])).
% 0.22/0.27 thf(f134,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ($true = (('const/realax/real_le' @ X0 @ ('const/sets/sup' @ sK1)))) | ((('const/realax/real_le' @ X0 @ sK2)) != $true)) ) | ~spl5_3),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f133])).
% 0.22/0.27 thf(f135,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (((('const/realax/real_le' @ X0 @ sK2)) != $true) | ($true = (('const/realax/real_le' @ X0 @ ('const/sets/sup' @ sK1)))) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1)) ) | ~spl5_3),
% 0.22/0.27 inference(forward_subsumption_resolution,[],[f134,f48])).
% 0.22/0.27 thf(f136,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (((('const/realax/real_le' @ X0 @ sK2)) != $true) | ($true = (('const/realax/real_le' @ X0 @ ('const/sets/sup' @ sK1))))) ) | ~spl5_3),
% 0.22/0.27 inference(forward_subsumption_resolution,[],[f135,f53])).
% 0.22/0.27 thf(f137,plain,(
% 0.22/0.27 ($true != $true) | ($true = (('const/realax/real_le' @ sK2 @ ('const/sets/sup' @ sK1)))) | ~spl5_3),
% 0.22/0.27 inference(constrained_superposition,[],[f136,f60])).
% 0.22/0.27 thf(f138,plain,(
% 0.22/0.27 ($true = (('const/realax/real_le' @ sK2 @ ('const/sets/sup' @ sK1)))) | ~spl5_3),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f137])).
% 0.22/0.27 thf(f139,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (((('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ X0)) != $true) | ((('const/realax/real_le' @ sK2 @ X0)) = $true) | ($true != $true)) ) | ~spl5_3),
% 0.22/0.27 inference(constrained_superposition,[],[f57,f138])).
% 0.22/0.27 thf(f142,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (((('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ X0)) != $true) | ((('const/realax/real_le' @ sK2 @ X0)) = $true)) ) | ~spl5_3),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f139])).
% 0.22/0.27 thf(f153,definition,(
% 0.22/0.27 spl5_12 <=> (((sK0 @ sK2 @ sK1)) = sK2)),
% 0.22/0.27 introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition])).
% 0.22/0.27 thf(f155,plain,(
% 0.22/0.27 (((sK0 @ sK2 @ sK1)) = sK2) | ~spl5_12),
% 0.22/0.27 inference(avatar_component_clause,[],[f153])).
% 0.22/0.27 thf(f157,definition,(
% 0.22/0.27 spl5_13 <=> ((('const/realax/real_le' @ (sK0 @ sK2 @ sK1) @ sK2)) = $true)),
% 0.22/0.27 introduced(definition,[new_symbols(definition,[spl5_13])],[avatar_definition])).
% 0.22/0.27 thf(f158,plain,(
% 0.22/0.27 ((('const/realax/real_le' @ (sK0 @ sK2 @ sK1) @ sK2)) = $true) | ~spl5_13),
% 0.22/0.27 inference(avatar_component_clause,[],[f157])).
% 0.22/0.27 thf(f162,plain,(
% 0.22/0.27 ($true != $true) | ($true = (('const/realax/real_le' @ sK2 @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1)))) | ~spl5_3),
% 0.22/0.27 inference(constrained_superposition,[],[f142,f117])).
% 0.22/0.27 thf(f163,plain,(
% 0.22/0.27 ($true = (('const/realax/real_le' @ sK2 @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1)))) | ~spl5_3),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f162])).
% 0.22/0.27 thf(f166,plain,(
% 0.22/0.27 ((('const/realax/real_le' @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1) @ sK2)) != $true) | (((sK0 @ ('const/sets/sup' @ sK1) @ sK1)) = sK2) | ($true != $true) | ~spl5_3),
% 0.22/0.27 inference(constrained_superposition,[],[f45,f163])).
% 0.22/0.27 thf(f167,plain,(
% 0.22/0.27 (((sK0 @ ('const/sets/sup' @ sK1) @ sK1)) = sK2) | ((('const/realax/real_le' @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1) @ sK2)) != $true) | ~spl5_3),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f166])).
% 0.22/0.27 thf(f170,definition,(
% 0.22/0.27 spl5_14 <=> (((sK0 @ ('const/sets/sup' @ sK1) @ sK1)) = sK2)),
% 0.22/0.27 introduced(definition,[new_symbols(definition,[spl5_14])],[avatar_definition])).
% 0.22/0.27 thf(f172,plain,(
% 0.22/0.27 (((sK0 @ ('const/sets/sup' @ sK1) @ sK1)) = sK2) | ~spl5_14),
% 0.22/0.27 inference(avatar_component_clause,[],[f170])).
% 0.22/0.27 thf(f174,definition,(
% 0.22/0.27 spl5_15 <=> ((('const/realax/real_le' @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1) @ sK2)) = $true)),
% 0.22/0.27 introduced(definition,[new_symbols(definition,[spl5_15])],[avatar_definition])).
% 0.22/0.27 thf(f176,plain,(
% 0.22/0.27 ((('const/realax/real_le' @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1) @ sK2)) != $true) | spl5_15),
% 0.22/0.27 inference(avatar_component_clause,[],[f174])).
% 0.22/0.27 thf(f177,plain,(
% 0.22/0.27 spl5_14 | ~spl5_15 | ~spl5_3),
% 0.22/0.27 inference(avatar_split_clause,[],[f167,f71,f174,f170])).
% 0.22/0.27 thf(f182,plain,(
% 0.22/0.27 ( ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (($true != $true) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0) | ((('const/sets/IN' @ 'type/realax/real' @ X1 @ X0)) != $true) | ((('const/realax/real_le' @ X1 @ ('const/sets/sup' @ X0))) = $true)) )),
% 0.22/0.27 inference(constrained_superposition,[],[f54,f60])).
% 0.22/0.27 thf(f183,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (($true != (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK1))) | ($true != $true) | ($true = (('const/realax/real_le' @ X0 @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1)))) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true)) )),
% 0.22/0.27 inference(constrained_superposition,[],[f54,f117])).
% 0.22/0.27 thf(f184,plain,(
% 0.22/0.27 ( ! [X0 : ('type/realax/real' > $o),X1 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ X1 @ X0)) != $true) | ((('const/sets/FINITE' @ 'type/realax/real' @ X0)) != $true) | ((('const/realax/real_le' @ X1 @ ('const/sets/sup' @ X0))) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = X0)) )),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f182])).
% 0.22/0.27 thf(f185,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (($true != (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK1))) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true) | ($true = (('const/realax/real_le' @ X0 @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1))))) )),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f183])).
% 0.22/0.27 thf(f186,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (($true != (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK1))) | ($true = (('const/realax/real_le' @ X0 @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1)))) | ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true)) )),
% 0.22/0.27 inference(forward_subsumption_resolution,[],[f185,f53])).
% 0.22/0.27 thf(f187,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (($true != (('const/sets/IN' @ 'type/realax/real' @ X0 @ sK1))) | ($true = (('const/realax/real_le' @ X0 @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1))))) )),
% 0.22/0.27 inference(forward_subsumption_resolution,[],[f186,f48])).
% 0.22/0.27 thf(f212,plain,(
% 0.22/0.27 ((('const/realax/real_le' @ sK2 @ (sK0 @ sK2 @ sK1))) = $true) | ~spl5_1),
% 0.22/0.27 inference(constrained_superposition,[],[f117,f65])).
% 0.22/0.27 thf(f219,plain,(
% 0.22/0.27 ((('const/realax/real_le' @ (sK0 @ sK2 @ sK1) @ sK2)) != $true) | (~spl5_1 | spl5_15)),
% 0.22/0.27 inference(constrained_superposition,[],[f176,f65])).
% 0.22/0.27 thf(f220,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true) | ($true = (('const/sets/IN' @ 'type/realax/real' @ (sK0 @ X0 @ sK1) @ sK1))) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ((('const/realax/real_le' @ X0 @ sK2)) != $true)) ) | ~spl5_1),
% 0.22/0.27 inference(constrained_superposition,[],[f43,f65])).
% 0.22/0.27 thf(f224,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (((('const/realax/real_le' @ X0 @ sK2)) != $true) | ($true = (('const/sets/IN' @ 'type/realax/real' @ (sK0 @ X0 @ sK1) @ sK1))) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1)) ) | ~spl5_1),
% 0.22/0.27 inference(forward_subsumption_resolution,[],[f220,f48])).
% 0.22/0.27 thf(f227,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (((('const/realax/real_le' @ X0 @ sK2)) != $true) | ($true = (('const/sets/IN' @ 'type/realax/real' @ (sK0 @ X0 @ sK1) @ sK1)))) ) | ~spl5_1),
% 0.22/0.27 inference(forward_subsumption_resolution,[],[f224,f53])).
% 0.22/0.27 thf(f229,plain,(
% 0.22/0.27 ($true = (('const/realax/real_le' @ sK3 @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1)))) | ($true != $true) | ~spl5_4),
% 0.22/0.27 inference(constrained_superposition,[],[f187,f77])).
% 0.22/0.27 thf(f234,plain,(
% 0.22/0.27 ($true = (('const/realax/real_le' @ sK3 @ (sK0 @ ('const/sets/sup' @ sK1) @ sK1)))) | ~spl5_4),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f229])).
% 0.22/0.27 thf(f263,plain,(
% 0.22/0.27 ((('const/realax/real_le' @ (sK0 @ sK2 @ sK1) @ sK2)) != $true) | (((sK0 @ sK2 @ sK1)) = sK2) | ($true != $true) | ~spl5_1),
% 0.22/0.27 inference(constrained_superposition,[],[f45,f212])).
% 0.22/0.27 thf(f266,plain,(
% 0.22/0.27 ((('const/realax/real_le' @ (sK0 @ sK2 @ sK1) @ sK2)) != $true) | (((sK0 @ sK2 @ sK1)) = sK2) | ~spl5_1),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f263])).
% 0.22/0.27 thf(f280,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ (sK4 @ X0 @ sK1) @ sK1)) = $true) | ($true != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ((('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ X0)) = $true)) )),
% 0.22/0.27 inference(constrained_superposition,[],[f55,f48])).
% 0.22/0.27 thf(f281,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ (sK4 @ X0 @ sK1) @ sK1)) = $true) | ((('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ X0)) = $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1)) )),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f280])).
% 0.22/0.27 thf(f282,plain,(
% 0.22/0.27 ( ! [X0 : 'type/realax/real'] : (((('const/sets/IN' @ 'type/realax/real' @ (sK4 @ X0 @ sK1) @ sK1)) = $true) | ((('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ X0)) = $true)) )),
% 0.22/0.27 inference(forward_subsumption_resolution,[],[f281,f53])).
% 0.22/0.27 thf(f309,plain,(
% 0.22/0.27 ($true = (('const/sets/IN' @ 'type/realax/real' @ (sK0 @ sK2 @ sK1) @ sK1))) | ($true != $true) | ~spl5_1),
% 0.22/0.27 inference(constrained_superposition,[],[f227,f60])).
% 0.22/0.27 thf(f311,plain,(
% 0.22/0.27 ($true = (('const/sets/IN' @ 'type/realax/real' @ (sK0 @ sK2 @ sK1) @ sK1))) | ~spl5_1),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f309])).
% 0.22/0.27 thf(f315,plain,(
% 0.22/0.27 ($true != $true) | ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ((('const/realax/real_le' @ (sK0 @ sK2 @ sK1) @ ('const/sets/sup' @ sK1))) = $true) | ~spl5_1),
% 0.22/0.27 inference(constrained_superposition,[],[f184,f311])).
% 0.22/0.27 thf(f318,plain,(
% 0.22/0.27 ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true) | ((('const/realax/real_le' @ (sK0 @ sK2 @ sK1) @ ('const/sets/sup' @ sK1))) = $true) | ~spl5_1),
% 0.22/0.27 inference(trivial_inequality_removal,[],[f315])).
% 0.22/0.27 thf(f321,plain,(
% 0.22/0.27 ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true) | ((('const/realax/real_le' @ (sK0 @ sK2 @ sK1) @ ('const/sets/sup' @ sK1))) = $true) | ~spl5_1),
% 0.22/0.27 inference(forward_subsumption_resolution,[],[f318,f53])).
% 0.22/0.27 thf(f324,plain,(
% 0.22/0.27 ((('const/realax/real_le' @ (sK0 @ sK2 @ sK1) @ ('const/sets/sup' @ sK1))) = $true) | ~spl5_1),
% 0.22/0.27 inference(forward_subsumption_resolution,[],[f321,f48])).
% 0.22/0.27 thf(f326,plain,(
% 0.22/0.27 ((('const/realax/real_le' @ (sK0 @ sK2 @ sK1) @ sK2)) = $true) | ~spl5_1),
% 0.22/0.27 inference(forward_demodulation,[],[f324,f65])).
% 0.22/0.27 thf(f330,plain,(
% 0.22/0.27 ~spl5_13 | spl5_12 | ~spl5_1),
% 0.22/0.27 inference(avatar_split_clause,[],[f266,f63,f153,f157])).
% 0.22/0.27 thf(f331,plain,(
% 0.22/0.27 spl5_13 | ~spl5_1),
% 0.22/0.27 inference(avatar_split_clause,[],[f326,f63,f157])).
% 0.22/0.27 thf(f334,plain,(
% 0.22/0.27 $false | (~spl5_1 | ~spl5_13 | spl5_15)),
% 0.22/0.27 inference(forward_subsumption_resolution,[],[f219,f158])).
% 0.22/0.27 thf(f335,plain,(
% 0.22/0.27 ~spl5_1 | ~spl5_13 | spl5_15),
% 0.22/0.28 inference(avatar_contradiction_clause,[],[f334])).
% 0.22/0.28 thf(f344,plain,(
% 0.22/0.28 ((('const/sets/IN' @ 'type/realax/real' @ sK2 @ sK1)) = $true) | (~spl5_1 | ~spl5_12)),
% 0.22/0.28 inference(constrained_superposition,[],[f311,f155])).
% 0.22/0.28 thf(f345,plain,(
% 0.22/0.28 $false | (~spl5_1 | spl5_3 | ~spl5_12)),
% 0.22/0.28 inference(forward_subsumption_resolution,[],[f344,f73])).
% 0.22/0.28 thf(f346,plain,(
% 0.22/0.28 ~spl5_1 | spl5_3 | ~spl5_12),
% 0.22/0.28 inference(avatar_contradiction_clause,[],[f345])).
% 0.22/0.28 thf(f349,plain,(
% 0.22/0.28 ($true = (('const/realax/real_le' @ sK3 @ sK2))) | (~spl5_4 | ~spl5_14)),
% 0.22/0.28 inference(forward_demodulation,[],[f234,f172])).
% 0.22/0.28 thf(f353,plain,(
% 0.22/0.28 spl5_5 | ~spl5_4 | ~spl5_14),
% 0.22/0.28 inference(avatar_split_clause,[],[f349,f170,f75,f80])).
% 0.22/0.28 thf(f361,plain,(
% 0.22/0.28 ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ($true = (('const/realax/real_le' @ sK2 @ ('const/sets/sup' @ sK1)))) | ($true != $true) | ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true) | ~spl5_3),
% 0.22/0.28 inference(constrained_superposition,[],[f184,f72])).
% 0.22/0.28 thf(f364,plain,(
% 0.22/0.28 ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true) | ($true = (('const/realax/real_le' @ sK2 @ ('const/sets/sup' @ sK1)))) | ~spl5_3),
% 0.22/0.28 inference(trivial_inequality_removal,[],[f361])).
% 0.22/0.28 thf(f367,plain,(
% 0.22/0.28 ($true = (('const/realax/real_le' @ sK2 @ ('const/sets/sup' @ sK1)))) | ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true) | ~spl5_3),
% 0.22/0.28 inference(forward_subsumption_resolution,[],[f364,f53])).
% 0.22/0.28 thf(f370,plain,(
% 0.22/0.28 ($true = (('const/realax/real_le' @ sK2 @ ('const/sets/sup' @ sK1)))) | ~spl5_3),
% 0.22/0.28 inference(forward_subsumption_resolution,[],[f367,f48])).
% 0.22/0.28 thf(f433,plain,(
% 0.22/0.28 ( ! [X0 : 'type/realax/real'] : (($true != $true) | ((('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ X0)) = $true) | ((('const/realax/real_le' @ (sK4 @ X0 @ sK1) @ sK2)) = $true)) ) | ~spl5_2),
% 0.22/0.28 inference(constrained_superposition,[],[f68,f282])).
% 0.22/0.28 thf(f438,plain,(
% 0.22/0.28 ( ! [X0 : 'type/realax/real'] : (((('const/realax/real_le' @ (sK4 @ X0 @ sK1) @ sK2)) = $true) | ((('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ X0)) = $true)) ) | ~spl5_2),
% 0.22/0.28 inference(trivial_inequality_removal,[],[f433])).
% 0.22/0.28 thf(f446,plain,(
% 0.22/0.28 ($true = (('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ sK2))) | ($true != $true) | ($true = (('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ sK2))) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true) | ~spl5_2),
% 0.22/0.28 inference(constrained_superposition,[],[f56,f438])).
% 0.22/0.28 thf(f451,plain,(
% 0.22/0.28 ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ($true != $true) | ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true) | ($true = (('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ sK2))) | ~spl5_2),
% 0.22/0.28 inference(duplicate_literal_removal,[],[f446])).
% 0.22/0.28 thf(f452,plain,(
% 0.22/0.28 ((('const/sets/FINITE' @ 'type/realax/real' @ sK1)) != $true) | ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ($true = (('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ sK2))) | ~spl5_2),
% 0.22/0.28 inference(trivial_inequality_removal,[],[f451])).
% 0.22/0.28 thf(f455,plain,(
% 0.22/0.28 ('const/sets/EMPTY' @ 'type/realax/real' = sK1) | ($true = (('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ sK2))) | ~spl5_2),
% 0.22/0.28 inference(forward_subsumption_resolution,[],[f452,f48])).
% 0.22/0.28 thf(f456,plain,(
% 0.22/0.28 ($true = (('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ sK2))) | ~spl5_2),
% 0.22/0.28 inference(forward_subsumption_resolution,[],[f455,f53])).
% 0.22/0.28 thf(f460,plain,(
% 0.22/0.28 ($true != $true) | ((('const/sets/sup' @ sK1)) = sK2) | ($true != (('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ sK2))) | ~spl5_3),
% 0.22/0.28 inference(constrained_superposition,[],[f45,f370])).
% 0.22/0.28 thf(f463,plain,(
% 0.22/0.28 ($true != (('const/realax/real_le' @ ('const/sets/sup' @ sK1) @ sK2))) | ((('const/sets/sup' @ sK1)) = sK2) | ~spl5_3),
% 0.22/0.28 inference(trivial_inequality_removal,[],[f460])).
% 0.22/0.28 thf(f467,plain,(
% 0.22/0.28 ((('const/sets/sup' @ sK1)) = sK2) | (~spl5_2 | ~spl5_3)),
% 0.22/0.28 inference(forward_subsumption_resolution,[],[f463,f456])).
% 0.22/0.28 thf(f470,plain,(
% 0.22/0.28 $false | (spl5_1 | ~spl5_2 | ~spl5_3)),
% 0.22/0.28 inference(forward_subsumption_resolution,[],[f467,f64])).
% 0.22/0.28 thf(f471,plain,(
% 0.22/0.28 spl5_1 | ~spl5_2 | ~spl5_3),
% 0.22/0.28 inference(avatar_contradiction_clause,[],[f470])).
% 0.22/0.28 cnf(s1, plain, spl5_1 | spl5_2, inference(sat_conversion,[],[f69])).
% 0.22/0.28 cnf(s2, plain, ~spl5_1 | ~spl5_3 | spl5_4, inference(sat_conversion,[],[f78])).
% 0.22/0.28 cnf(s3, plain, ~spl5_1 | ~spl5_3 | ~spl5_5, inference(sat_conversion,[],[f83])).
% 0.22/0.28 cnf(s4, plain, spl5_1 | spl5_3, inference(sat_conversion,[],[f84])).
% 0.22/0.28 cnf(s10, plain, ~spl5_3 | spl5_14 | ~spl5_15, inference(sat_conversion,[],[f177])).
% 0.22/0.28 cnf(s17, plain, ~spl5_1 | spl5_12 | ~spl5_13, inference(sat_conversion,[],[f330])).
% 0.22/0.28 cnf(s18, plain, ~spl5_1 | spl5_13, inference(sat_conversion,[],[f331])).
% 0.22/0.28 cnf(s20, plain, ~spl5_1 | ~spl5_13 | spl5_15, inference(sat_conversion,[],[f335])).
% 0.22/0.28 cnf(s21, plain, ~spl5_1 | spl5_3 | ~spl5_12, inference(sat_conversion,[],[f346])).
% 0.22/0.28 cnf(s22, plain, ~spl5_4 | spl5_5 | ~spl5_14, inference(sat_conversion,[],[f353])).
% 0.22/0.28 cnf(s27, plain, spl5_1 | ~spl5_2 | ~spl5_3, inference(sat_conversion,[],[f471])).
% 0.22/0.28 cnf(s28, plain, spl5_1, inference(rat,[],[s27,s1,s4])).
% 0.22/0.28 cnf(s29, plain, spl5_13, inference(rat,[],[s18,s28])).
% 0.22/0.28 cnf(s30, plain, spl5_12, inference(rat,[],[s17,s29,s28])).
% 0.22/0.28 cnf(s32, plain, spl5_3, inference(rat,[],[s21,s30,s28])).
% 0.22/0.28 cnf(s33, plain, spl5_15, inference(rat,[],[s20,s28,s29])).
% 0.22/0.28 cnf(s35, plain, ~spl5_5, inference(rat,[],[s3,s28,s32])).
% 0.22/0.28 cnf(s36, plain, spl5_4, inference(rat,[],[s2,s28,s32])).
% 0.22/0.28 cnf(s37, plain, spl5_14, inference(rat,[],[s10,s33,s32])).
% 0.22/0.28 cnf(s38, plain, $false, inference(rat,[],[s22,s37,s35,s36])).
% 0.22/0.28 thf(f476,plain,(
% 0.22/0.28 $false),
% 0.22/0.28 inference(avatar_sat_refutation,[],[s38])).
% 0.22/0.28 % SZS output end Proof for theBenchmark
% 0.22/0.28 % (774912)------------------------------
% 0.22/0.28 % (774912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (774912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (774912)CaDiCaL version: 2.1.3
% 0.22/0.28 % (774912)Termination reason: Refutation
% 0.22/0.28 % (774912)Time elapsed: 0.012 s
% 0.22/0.28 % (774912)Peak memory usage: 13 MB
% 0.22/0.28 % (774912)Instructions burned: 35 (million)
% 0.22/0.28 % (774902)Success in time 0.029 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------