%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV120^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 08:37:50 AM UTC 2026
% Result : Theorem 0.18s 0.26s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV120^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n011.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 15:12:01 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running higher-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.26 % (204608)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.18/0.26 % (204616)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=3187338250: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)
% 0.18/0.26 % (204619)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.18/0.26 % (204619)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
% 0.18/0.26 % (204613)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4016006581:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.18/0.26 % (204614)lrs+10_16_si=on:nwc=1.5:random_seed=2189306030:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.18/0.26 % (204615)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2741633191:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.18/0.26 % (204618)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2475730252:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.18/0.26 % (204617)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1379708733:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.18/0.26 % (204619)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=3511994329:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.18/0.26 % (204615)Instruction limit reached!
% 0.18/0.26 % (204615)------------------------------
% 0.18/0.26 % (204615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.26 % (204615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.26 % (204615)CaDiCaL version: 2.1.3
% 0.18/0.26 % (204615)Termination reason: Instruction limit
% 0.18/0.26 % (204615)Termination phase: Saturation
% 0.18/0.26 % (204615)Time elapsed: 0.003 s
% 0.18/0.26 % (204615)Peak memory usage: 12 MB
% 0.18/0.26 % (204615)Instructions burned: 4 (million)
% 0.18/0.26 % (204616) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-204608-204616"...
% 0.18/0.26 % (204616)...printing done.
% 0.18/0.26 % (204616)Refutation found. Thanks to Tanya!
% 0.18/0.26 % SZS status Theorem for theBenchmark
% 0.18/0.26 % SZS output start Proof for theBenchmark
% 0.18/0.26 thf(type_def_5, type, a: $tType).
% 0.18/0.26 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.18/0.26 thf(func_def_3, type, sK0: a).
% 0.18/0.26 thf(func_def_4, type, sK1: a).
% 0.18/0.26 thf(func_def_5, type, sK2: ((a > a > $o) > $o)).
% 0.18/0.26 thf(func_def_6, type, sK3: a).
% 0.18/0.26 thf(func_def_7, type, sK4: ((a > a > $o) > a)).
% 0.18/0.26 thf(func_def_8, type, sK5: ((a > a > $o) > a)).
% 0.18/0.26 thf(func_def_9, type, sK6: ((a > a > $o) > a)).
% 0.18/0.26 thf(func_def_10, type, sK7: (a > a > $o)).
% 0.18/0.26 thf(func_def_11, type, sK8: ((a > a > $o) > a)).
% 0.18/0.26 thf(func_def_12, type, sK9: ((a > a > $o) > a)).
% 0.18/0.26 thf(func_def_13, type, sK10: ((a > a > $o) > a)).
% 0.18/0.26 thf(func_def_14, type, vNOT: ($o > $o)).
% 0.18/0.26 thf(func_def_16, type, db0: !>[X0: $tType]:(X0)).
% 0.18/0.26 thf(func_def_17, type, db1: !>[X0: $tType]:(X0)).
% 0.18/0.26 thf(func_def_18, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.18/0.26 thf(func_def_19, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.18/0.26 thf(func_def_20, type, db2: !>[X0: $tType]:(X0)).
% 0.18/0.26 thf(f1,conjecture,(
% 0.18/0.26 ! [X2 : a,X3 : a,X0 : ((a > a > $o) > $o),X1 : a] : ((! [X4 : (a > a > $o)] : (((X0 @ X4) & ! [X6 : a,X7 : a,X5 : a] : (((X4 @ X6 @ X7) & (X4 @ X5 @ X6)) => (X4 @ X5 @ X7))) => (X4 @ X1 @ X2)) & ! [X4 : (a > a > $o)] : (((X0 @ X4) & ! [X5 : a,X6 : a,X7 : a] : (((X4 @ X5 @ X6) & (X4 @ X6 @ X7)) => (X4 @ X5 @ X7))) => (X4 @ X2 @ X3))) => ! [X4 : (a > a > $o)] : ((! [X5 : a,X7 : a,X6 : a] : (((X4 @ X6 @ X7) & (X4 @ X5 @ X6)) => (X4 @ X5 @ X7)) & (X0 @ X4)) => (X4 @ X1 @ X3)))),
% 0.18/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM70_pme)).
% 0.18/0.26 thf(f2,negated_conjecture,(
% 0.18/0.26 ~ ! [X2 : a,X3 : a,X0 : ((a > a > $o) > $o),X1 : a] : ((! [X4 : (a > a > $o)] : (((X0 @ X4) & ! [X6 : a,X7 : a,X5 : a] : (((X4 @ X6 @ X7) & (X4 @ X5 @ X6)) => (X4 @ X5 @ X7))) => (X4 @ X1 @ X2)) & ! [X4 : (a > a > $o)] : (((X0 @ X4) & ! [X5 : a,X6 : a,X7 : a] : (((X4 @ X5 @ X6) & (X4 @ X6 @ X7)) => (X4 @ X5 @ X7))) => (X4 @ X2 @ X3))) => ! [X4 : (a > a > $o)] : ((! [X5 : a,X7 : a,X6 : a] : (((X4 @ X6 @ X7) & (X4 @ X5 @ X6)) => (X4 @ X5 @ X7)) & (X0 @ X4)) => (X4 @ X1 @ X3)))),
% 0.18/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.18/0.26 thf(f3,plain,(
% 0.18/0.26 ~ ! [X0 : a,X1 : a,X2 : ((a > a > $o) > $o),X3 : a] : ((! [X4 : (a > a > $o)] : (((X2 @ X4) & ! [X5 : a,X6 : a,X7 : a] : (((X4 @ X5 @ X6) & (X4 @ X7 @ X5)) => (X4 @ X7 @ X6))) => (X4 @ X3 @ X0)) & ! [X8 : (a > a > $o)] : (((X2 @ X8) & ! [X9 : a,X10 : a,X11 : a] : (((X8 @ X9 @ X10) & (X8 @ X10 @ X11)) => (X8 @ X9 @ X11))) => (X8 @ X0 @ X1))) => ! [X12 : (a > a > $o)] : ((! [X13 : a,X14 : a,X15 : a] : (((X12 @ X15 @ X14) & (X12 @ X13 @ X15)) => (X12 @ X13 @ X14)) & (X2 @ X12)) => (X12 @ X3 @ X1)))),
% 0.18/0.26 inference(rectify,[],[f2])).
% 0.18/0.26 thf(f4,plain,(
% 0.18/0.26 ~ ! [X2 : ((a > a > $o) > $o),X1 : a,X0 : a,X3 : a] : ((! [X8 : (a > a > $o)] : ((! [X10 : a,X11 : a,X9 : a] : ((($true = ((X8 @ X10 @ X11))) & ($true = ((X8 @ X9 @ X10)))) => ($true = ((X8 @ X9 @ X11)))) & ($true = ((X2 @ X8)))) => ($true = ((X8 @ X0 @ X1)))) & ! [X4 : (a > a > $o)] : ((($true = ((X2 @ X4))) & ! [X7 : a,X5 : a,X6 : a] : ((($true = ((X4 @ X7 @ X5))) & (((X4 @ X5 @ X6)) = $true)) => ($true = ((X4 @ X7 @ X6))))) => ($true = ((X4 @ X3 @ X0))))) => ! [X12 : (a > a > $o)] : ((! [X13 : a,X14 : a,X15 : a] : ((($true = ((X12 @ X15 @ X14))) & ($true = ((X12 @ X13 @ X15)))) => ($true = ((X12 @ X13 @ X14)))) & ($true = ((X2 @ X12)))) => ($true = ((X12 @ X3 @ X1)))))),
% 0.18/0.26 inference(fool_elimination,[],[f3])).
% 0.18/0.26 thf(f5,plain,(
% 0.18/0.26 ? [X2 : ((a > a > $o) > $o),X1 : a,X0 : a,X3 : a] : (? [X12 : (a > a > $o)] : (($true != ((X12 @ X3 @ X1))) & (! [X13 : a,X14 : a,X15 : a] : (($true = ((X12 @ X13 @ X14))) | (($true != ((X12 @ X15 @ X14))) | ($true != ((X12 @ X13 @ X15))))) & ($true = ((X2 @ X12))))) & (! [X8 : (a > a > $o)] : (($true = ((X8 @ X0 @ X1))) | (? [X10 : a,X11 : a,X9 : a] : (($true != ((X8 @ X9 @ X11))) & (($true = ((X8 @ X10 @ X11))) & ($true = ((X8 @ X9 @ X10))))) | ($true != ((X2 @ X8))))) & ! [X4 : (a > a > $o)] : (($true = ((X4 @ X3 @ X0))) | (($true != ((X2 @ X4))) | ? [X7 : a,X5 : a,X6 : a] : (($true != ((X4 @ X7 @ X6))) & (($true = ((X4 @ X7 @ X5))) & (((X4 @ X5 @ X6)) = $true)))))))),
% 0.18/0.26 inference(ennf_transformation,[],[f4])).
% 0.18/0.26 thf(f6,plain,(
% 0.18/0.26 ? [X3 : a,X0 : a,X2 : ((a > a > $o) > $o),X1 : a] : (! [X4 : (a > a > $o)] : (? [X5 : a,X6 : a,X7 : a] : ((((X4 @ X5 @ X6)) = $true) & ($true = ((X4 @ X7 @ X5))) & ($true != ((X4 @ X7 @ X6)))) | ($true != ((X2 @ X4))) | ($true = ((X4 @ X3 @ X0)))) & ? [X12 : (a > a > $o)] : (($true != ((X12 @ X3 @ X1))) & ! [X15 : a,X14 : a,X13 : a] : (($true != ((X12 @ X13 @ X15))) | ($true = ((X12 @ X13 @ X14))) | ($true != ((X12 @ X15 @ X14)))) & ($true = ((X2 @ X12)))) & ! [X8 : (a > a > $o)] : (($true != ((X2 @ X8))) | ($true = ((X8 @ X0 @ X1))) | ? [X11 : a,X10 : a,X9 : a] : (($true = ((X8 @ X9 @ X10))) & ($true != ((X8 @ X9 @ X11))) & ($true = ((X8 @ X10 @ X11))))))),
% 0.18/0.26 inference(flattening,[],[f5])).
% 0.18/0.26 thf(f7,plain,(
% 0.18/0.26 ? [X0 : a,X1 : a,X2 : ((a > a > $o) > $o),X3 : a] : (! [X4 : (a > a > $o)] : (? [X5 : a,X6 : a,X7 : a] : ((((X4 @ X5 @ X6)) = $true) & ($true = ((X4 @ X7 @ X5))) & ($true != ((X4 @ X7 @ X6)))) | ($true != ((X2 @ X4))) | ($true = ((X4 @ X0 @ X1)))) & ? [X8 : (a > a > $o)] : (($true != ((X8 @ X0 @ X3))) & ! [X9 : a,X10 : a,X11 : a] : (($true != ((X8 @ X11 @ X9))) | ($true = ((X8 @ X11 @ X10))) | ($true != ((X8 @ X9 @ X10)))) & ($true = ((X2 @ X8)))) & ! [X12 : (a > a > $o)] : (($true != ((X2 @ X12))) | ($true = ((X12 @ X1 @ X3))) | ? [X13 : a,X14 : a,X15 : a] : (($true = ((X12 @ X15 @ X14))) & ($true != ((X12 @ X15 @ X13))) & ($true = ((X12 @ X14 @ X13))))))),
% 0.18/0.26 inference(rectify,[],[f6])).
% 0.18/0.26 thf(f8,plain,(
% 0.18/0.26 ! [X4 : (a > a > $o)] : ((($true = ((X4 @ (sK4 @ X4) @ (sK5 @ X4)))) & ($true = ((X4 @ (sK6 @ X4) @ (sK4 @ X4)))) & ($true != ((X4 @ (sK6 @ X4) @ (sK5 @ X4))))) | ($true != ((sK2 @ X4))) | ($true = ((X4 @ sK0 @ sK1)))) & (($true != ((sK7 @ sK0 @ sK3))) & ! [X9 : a,X10 : a,X11 : a] : (($true != ((sK7 @ X11 @ X9))) | ($true = ((sK7 @ X11 @ X10))) | ($true != ((sK7 @ X9 @ X10)))) & ($true = ((sK2 @ sK7)))) & ! [X12 : (a > a > $o)] : (($true != ((sK2 @ X12))) | ($true = ((X12 @ sK1 @ sK3))) | (($true = ((X12 @ (sK10 @ X12) @ (sK9 @ X12)))) & ($true != ((X12 @ (sK10 @ X12) @ (sK8 @ X12)))) & ($true = ((X12 @ (sK9 @ X12) @ (sK8 @ X12))))))),
% 0.18/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,vAPP,vAPP,vAPP,sK7,vAPP,vAPP,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X15,sK10 @ X12),skolemize(X15,sK10 @ X12),skolemize(X15,sK10 @ X12),skolemize(X8,sK7),skolemize(X15,sK10 @ X12),skolemize(X15,sK10 @ X12),skolemize(X15,sK10 @ X12)],[f7])).
% 0.18/0.26 thf(f9,plain,(
% 0.18/0.26 ( ! [X12 : (a > a > $o)] : (($true = ((X12 @ (sK9 @ X12) @ (sK8 @ X12)))) | ($true = ((X12 @ sK1 @ sK3))) | ($true != ((sK2 @ X12)))) )),
% 0.18/0.26 inference(cnf_transformation,[],[f8])).
% 0.18/0.26 thf(f10,plain,(
% 0.18/0.26 ( ! [X12 : (a > a > $o)] : (($true != ((X12 @ (sK10 @ X12) @ (sK8 @ X12)))) | ($true = ((X12 @ sK1 @ sK3))) | ($true != ((sK2 @ X12)))) )),
% 0.18/0.26 inference(cnf_transformation,[],[f8])).
% 0.18/0.26 thf(f11,plain,(
% 0.18/0.26 ( ! [X12 : (a > a > $o)] : (($true = ((X12 @ (sK10 @ X12) @ (sK9 @ X12)))) | ($true = ((X12 @ sK1 @ sK3))) | ($true != ((sK2 @ X12)))) )),
% 0.18/0.26 inference(cnf_transformation,[],[f8])).
% 0.18/0.26 thf(f12,plain,(
% 0.18/0.26 ($true = ((sK2 @ sK7)))),
% 0.18/0.26 inference(cnf_transformation,[],[f8])).
% 0.18/0.26 thf(f13,plain,(
% 0.18/0.26 ( ! [X10 : a,X11 : a,X9 : a] : (($true = ((sK7 @ X11 @ X10))) | ($true != ((sK7 @ X11 @ X9))) | ($true != ((sK7 @ X9 @ X10)))) )),
% 0.18/0.26 inference(cnf_transformation,[],[f8])).
% 0.18/0.26 thf(f14,plain,(
% 0.18/0.26 ($true != ((sK7 @ sK0 @ sK3)))),
% 0.18/0.26 inference(cnf_transformation,[],[f8])).
% 0.18/0.26 thf(f15,plain,(
% 0.18/0.26 ( ! [X4 : (a > a > $o)] : (($true != ((X4 @ (sK6 @ X4) @ (sK5 @ X4)))) | ($true != ((sK2 @ X4))) | ($true = ((X4 @ sK0 @ sK1)))) )),
% 0.18/0.26 inference(cnf_transformation,[],[f8])).
% 0.18/0.26 thf(f16,plain,(
% 0.18/0.26 ( ! [X4 : (a > a > $o)] : (($true = ((X4 @ (sK6 @ X4) @ (sK4 @ X4)))) | ($true != ((sK2 @ X4))) | ($true = ((X4 @ sK0 @ sK1)))) )),
% 0.18/0.26 inference(cnf_transformation,[],[f8])).
% 0.18/0.26 thf(f17,plain,(
% 0.18/0.26 ( ! [X4 : (a > a > $o)] : (($true = ((X4 @ (sK4 @ X4) @ (sK5 @ X4)))) | ($true != ((sK2 @ X4))) | ($true = ((X4 @ sK0 @ sK1)))) )),
% 0.18/0.26 inference(cnf_transformation,[],[f8])).
% 0.18/0.26 thf(f20,definition,(
% 0.18/0.26 spl11_1 <=> ($true = ((sK7 @ sK0 @ sK3)))),
% 0.18/0.26 introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition])).
% 0.18/0.26 thf(f22,plain,(
% 0.18/0.26 ($true != ((sK7 @ sK0 @ sK3))) | spl11_1),
% 0.18/0.26 inference(avatar_component_clause,[],[f20])).
% 0.18/0.26 thf(f23,plain,(
% 0.18/0.26 ~spl11_1),
% 0.18/0.26 inference(avatar_split_clause,[],[f14,f20])).
% 0.18/0.26 thf(f25,definition,(
% 0.18/0.26 spl11_2 <=> ($true = ((sK2 @ sK7)))),
% 0.18/0.26 introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition])).
% 0.18/0.26 thf(f27,plain,(
% 0.18/0.26 ($true = ((sK2 @ sK7))) | ~spl11_2),
% 0.18/0.26 inference(avatar_component_clause,[],[f25])).
% 0.18/0.26 thf(f28,plain,(
% 0.18/0.26 spl11_2),
% 0.18/0.26 inference(avatar_split_clause,[],[f12,f25])).
% 0.18/0.26 thf(f29,plain,(
% 0.18/0.26 ( ! [X0 : a] : (($true != $true) | ($true != ((sK7 @ sK0 @ X0))) | ($true != ((sK7 @ X0 @ sK3)))) ) | spl11_1),
% 0.18/0.26 inference(superposition,[],[f22,f13])).
% 0.18/0.26 thf(f30,plain,(
% 0.18/0.26 ( ! [X0 : a] : (($true != ((sK7 @ sK0 @ X0))) | ($true != ((sK7 @ X0 @ sK3)))) ) | spl11_1),
% 0.18/0.26 inference(trivial_inequality_removal,[],[f29])).
% 0.18/0.26 thf(f85,plain,(
% 0.18/0.26 ( ! [X13 : (a > a > $o)] : (($true != (((^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1))))) @ (sK10 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1)))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1))))))))) | ($true = (((^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1))))) @ sK1 @ sK3))) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1))))))))) )),
% 0.18/0.26 inference(primitive_instantiation,[],[f10])).
% 0.18/0.26 thf(f92,plain,(
% 0.18/0.26 ( ! [X13 : (a > a > $o)] : (($true = ((~ (X13 @ sK1 @ sK3)))) | ($true != ((~ (X13 @ (sK10 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1)))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1)))))))))) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1))))))))) )),
% 0.18/0.26 inference(beta-eta_normalization,[],[f85])).
% 0.18/0.26 thf(f93,plain,(
% 0.18/0.26 ( ! [X13 : (a > a > $o)] : (($true != ((~ (X13 @ (sK10 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1)))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1)))))))))) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1)))))))) | (((X13 @ sK1 @ sK3)) = $false)) )),
% 0.18/0.26 inference(not_proxy_clausification,[],[f92])).
% 0.18/0.26 thf(f94,plain,(
% 0.18/0.26 ( ! [X13 : (a > a > $o)] : (($true = ((X13 @ (sK10 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1)))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1))))))))) | (((X13 @ sK1 @ sK3)) = $false) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X13 @ Y0 @ Y1))))))))) )),
% 0.18/0.26 inference(not_proxy_clausification,[],[f93])).
% 0.18/0.26 thf(f115,definition,(
% 0.18/0.26 spl11_11 <=> ($true = ((sK7 @ sK1 @ sK3)))),
% 0.18/0.26 introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition])).
% 0.18/0.26 thf(f119,definition,(
% 0.18/0.26 spl11_12 <=> ! [X0 : a] : (($true != ((sK7 @ X0 @ (sK8 @ sK7)))) | ($true != ((sK7 @ (sK10 @ sK7) @ X0))))),
% 0.18/0.26 introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition])).
% 0.18/0.26 thf(f120,plain,(
% 0.18/0.26 ( ! [X0 : a] : (($true != ((sK7 @ (sK10 @ sK7) @ X0))) | ($true != ((sK7 @ X0 @ (sK8 @ sK7))))) ) | ~spl11_12),
% 0.18/0.26 inference(avatar_component_clause,[],[f119])).
% 0.18/0.26 thf(f157,plain,(
% 0.18/0.26 ( ! [X5 : (a > a > $o)] : (($true = (((^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1))))) @ sK0 @ sK1))) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1)))))))) | ($true != (((^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1)))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1)))))))))) )),
% 0.18/0.26 inference(primitive_instantiation,[],[f15])).
% 0.18/0.26 thf(f161,plain,(
% 0.18/0.26 ( ! [X5 : (a > a > $o)] : (($true = ((~ (X5 @ sK0 @ sK1)))) | ($true != ((~ (X5 @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1)))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1)))))))))) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1))))))))) )),
% 0.18/0.26 inference(beta-eta_normalization,[],[f157])).
% 0.18/0.26 thf(f162,plain,(
% 0.18/0.26 ( ! [X5 : (a > a > $o)] : ((((X5 @ sK0 @ sK1)) = $false) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1)))))))) | ($true != ((~ (X5 @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1)))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1))))))))))) )),
% 0.18/0.26 inference(not_proxy_clausification,[],[f161])).
% 0.18/0.26 thf(f163,plain,(
% 0.18/0.26 ( ! [X5 : (a > a > $o)] : (($true = ((X5 @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1)))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1))))))))) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X5 @ Y0 @ Y1)))))))) | (((X5 @ sK0 @ sK1)) = $false)) )),
% 0.18/0.26 inference(not_proxy_clausification,[],[f162])).
% 0.18/0.26 thf(f191,definition,(
% 0.18/0.26 spl11_18 <=> ($true = ((sK7 @ sK0 @ sK1)))),
% 0.18/0.26 introduced(definition,[new_symbols(definition,[spl11_18])],[avatar_definition])).
% 0.18/0.26 thf(f192,plain,(
% 0.18/0.26 ($true != ((sK7 @ sK0 @ sK1))) | spl11_18),
% 0.18/0.26 inference(avatar_component_clause,[],[f191])).
% 0.18/0.26 thf(f193,plain,(
% 0.18/0.26 ($true = ((sK7 @ sK0 @ sK1))) | ~spl11_18),
% 0.18/0.26 inference(avatar_component_clause,[],[f191])).
% 0.18/0.27 thf(f195,definition,(
% 0.18/0.27 spl11_19 <=> ! [X0 : a] : (($true != ((sK7 @ (sK6 @ sK7) @ X0))) | ($true != ((sK7 @ X0 @ (sK5 @ sK7)))))),
% 0.18/0.27 introduced(definition,[new_symbols(definition,[spl11_19])],[avatar_definition])).
% 0.18/0.27 thf(f196,plain,(
% 0.18/0.27 ( ! [X0 : a] : (($true != ((sK7 @ (sK6 @ sK7) @ X0))) | ($true != ((sK7 @ X0 @ (sK5 @ sK7))))) ) | ~spl11_19),
% 0.18/0.27 inference(avatar_component_clause,[],[f195])).
% 0.18/0.27 thf(f198,plain,(
% 0.18/0.27 ($true != $true) | ($true != ((sK7 @ sK1 @ sK3))) | (spl11_1 | ~spl11_18)),
% 0.18/0.27 inference(superposition,[],[f30,f193])).
% 0.18/0.27 thf(f199,plain,(
% 0.18/0.27 ($true != ((sK7 @ sK1 @ sK3))) | (spl11_1 | ~spl11_18)),
% 0.18/0.27 inference(trivial_inequality_removal,[],[f198])).
% 0.18/0.27 thf(f202,plain,(
% 0.18/0.27 ~spl11_11 | spl11_1 | ~spl11_18),
% 0.18/0.27 inference(avatar_split_clause,[],[f199,f191,f20,f115])).
% 0.18/0.27 thf(f318,plain,(
% 0.18/0.27 ( ! [X14 : (a > a > $o)] : (($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ ((^[Y2 : a]: ((^[Y3 : a]: (~ (X14 @ Y2 @ Y3))))) @ Y0 @ Y1)))))))) | ($true = (((^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1))))) @ (sK10 @ (^[Y0 : a]: ((^[Y1 : a]: (~ ((^[Y2 : a]: ((^[Y3 : a]: (~ (X14 @ Y2 @ Y3))))) @ Y0 @ Y1)))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ ((^[Y2 : a]: ((^[Y3 : a]: (~ (X14 @ Y2 @ Y3))))) @ Y0 @ Y1))))))))) | ((((^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1))))) @ sK1 @ sK3)) = $false)) )),
% 0.18/0.27 inference(primitive_instantiation,[],[f94])).
% 0.18/0.27 thf(f333,plain,(
% 0.18/0.27 ( ! [X14 : (a > a > $o)] : (($true = ((~ (X14 @ (sK10 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1))))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1))))))))))) | (((~ (X14 @ sK1 @ sK3))) = $false) | (((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1)))))))) != $true)) )),
% 0.18/0.27 inference(beta-eta_normalization,[],[f318])).
% 0.18/0.27 thf(f334,plain,(
% 0.18/0.27 ( ! [X14 : (a > a > $o)] : ((((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1)))))))) != $true) | (((X14 @ (sK10 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1))))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1))))))))) = $false) | (((~ (X14 @ sK1 @ sK3))) = $false)) )),
% 0.18/0.27 inference(not_proxy_clausification,[],[f333])).
% 0.18/0.27 thf(f335,plain,(
% 0.18/0.27 ( ! [X14 : (a > a > $o)] : ((((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1)))))))) != $true) | ($true = ((X14 @ sK1 @ sK3))) | (((X14 @ (sK10 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1))))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1))))))))) = $false)) )),
% 0.18/0.27 inference(not_proxy_clausification,[],[f334])).
% 0.18/0.27 thf(f336,plain,(
% 0.18/0.27 ( ! [X14 : (a > a > $o)] : (($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (X14 @ Y0 @ Y1))))))) | ($true = ((X14 @ sK1 @ sK3))) | (((X14 @ (sK10 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1))))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1))))))))) = $false)) )),
% 0.18/0.27 inference(boolean_simplification,[],[f335])).
% 0.18/0.27 thf(f337,plain,(
% 0.18/0.27 ( ! [X14 : (a > a > $o)] : ((((X14 @ (sK10 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1))))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X14 @ Y0 @ Y1))))))))) = $false) | ($true != ((sK2 @ X14))) | ($true = ((X14 @ sK1 @ sK3)))) )),
% 0.18/0.27 inference(beta-eta_normalization,[],[f336])).
% 0.18/0.27 thf(f338,plain,(
% 0.18/0.27 ( ! [X14 : (a > a > $o)] : (($true != ((sK2 @ X14))) | (((X14 @ (sK10 @ (^[Y0 : a]: ((^[Y1 : a]: (X14 @ Y0 @ Y1))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (X14 @ Y0 @ Y1))))))) = $false) | ($true = ((X14 @ sK1 @ sK3)))) )),
% 0.18/0.27 inference(boolean_simplification,[],[f337])).
% 0.18/0.27 thf(f339,plain,(
% 0.18/0.27 ( ! [X14 : (a > a > $o)] : ((((X14 @ (sK10 @ X14) @ (sK8 @ X14))) = $false) | ($true != ((sK2 @ X14))) | ($true = ((X14 @ sK1 @ sK3)))) )),
% 0.18/0.27 inference(beta-eta_normalization,[],[f338])).
% 0.18/0.27 thf(f387,plain,(
% 0.18/0.27 ( ! [X6 : (a > a > $o)] : (($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ ((^[Y2 : a]: ((^[Y3 : a]: (~ (X6 @ Y2 @ Y3))))) @ Y0 @ Y1)))))))) | ($false = (((^[Y0 : a]: ((^[Y1 : a]: (~ (X6 @ Y0 @ Y1))))) @ sK0 @ sK1))) | ($true = (((^[Y0 : a]: ((^[Y1 : a]: (~ (X6 @ Y0 @ Y1))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (~ ((^[Y2 : a]: ((^[Y3 : a]: (~ (X6 @ Y2 @ Y3))))) @ Y0 @ Y1)))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (~ ((^[Y2 : a]: ((^[Y3 : a]: (~ (X6 @ Y2 @ Y3))))) @ Y0 @ Y1)))))))))) )),
% 0.18/0.27 inference(primitive_instantiation,[],[f163])).
% 0.18/0.27 thf(f390,plain,(
% 0.18/0.27 ( ! [X6 : (a > a > $o)] : (($true = ((~ (X6 @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X6 @ Y0 @ Y1))))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X6 @ Y0 @ Y1))))))))))) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X6 @ Y0 @ Y1))))))))) | (((~ (X6 @ sK0 @ sK1))) = $false)) )),
% 0.18/0.27 inference(beta-eta_normalization,[],[f387])).
% 0.18/0.27 thf(f391,plain,(
% 0.18/0.27 ( ! [X6 : (a > a > $o)] : ((((X6 @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X6 @ Y0 @ Y1))))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X6 @ Y0 @ Y1))))))))) = $false) | (((~ (X6 @ sK0 @ sK1))) = $false) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X6 @ Y0 @ Y1)))))))))) )),
% 0.18/0.27 inference(not_proxy_clausification,[],[f390])).
% 0.18/0.27 thf(f392,plain,(
% 0.18/0.27 ( ! [X6 : (a > a > $o)] : ((((X6 @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X6 @ Y0 @ Y1))))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X6 @ Y0 @ Y1))))))))) = $false) | ($true = ((X6 @ sK0 @ sK1))) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X6 @ Y0 @ Y1)))))))))) )),
% 0.18/0.27 inference(not_proxy_clausification,[],[f391])).
% 0.18/0.27 thf(f393,plain,(
% 0.18/0.27 ( ! [X6 : (a > a > $o)] : (($true = ((X6 @ sK0 @ sK1))) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X6 @ Y0 @ Y1))))))))) | (((X6 @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (X6 @ Y0 @ Y1))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (X6 @ Y0 @ Y1))))))) = $false)) )),
% 0.18/0.27 inference(boolean_simplification,[],[f392])).
% 0.18/0.27 thf(f394,plain,(
% 0.18/0.27 ( ! [X6 : (a > a > $o)] : ((((X6 @ (sK6 @ X6) @ (sK5 @ X6))) = $false) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X6 @ Y0 @ Y1))))))))) | ($true = ((X6 @ sK0 @ sK1)))) )),
% 0.18/0.27 inference(beta-eta_normalization,[],[f393])).
% 0.18/0.27 thf(f395,plain,(
% 0.18/0.27 ( ! [X6 : (a > a > $o)] : (($true = ((X6 @ sK0 @ sK1))) | ($true != ((sK2 @ (^[Y0 : a]: ((^[Y1 : a]: (X6 @ Y0 @ Y1))))))) | (((X6 @ (sK6 @ X6) @ (sK5 @ X6))) = $false)) )),
% 0.18/0.27 inference(boolean_simplification,[],[f394])).
% 0.18/0.27 thf(f396,plain,(
% 0.18/0.27 ( ! [X6 : (a > a > $o)] : ((((X6 @ (sK6 @ X6) @ (sK5 @ X6))) = $false) | ($true != ((sK2 @ X6))) | ($true = ((X6 @ sK0 @ sK1)))) )),
% 0.18/0.27 inference(beta-eta_normalization,[],[f395])).
% 0.18/0.27 thf(f462,plain,(
% 0.18/0.27 ( ! [X0 : a] : (($true = $false) | ($true != ((sK7 @ (sK10 @ sK7) @ X0))) | ($true = ((sK7 @ sK1 @ sK3))) | ($true != ((sK2 @ sK7))) | ($true != ((sK7 @ X0 @ (sK8 @ sK7))))) )),
% 0.18/0.27 inference(superposition,[],[f13,f339])).
% 0.18/0.27 thf(f478,plain,(
% 0.18/0.27 ( ! [X0 : a] : (($true = ((sK7 @ sK1 @ sK3))) | ($true != ((sK7 @ (sK10 @ sK7) @ X0))) | ($true != ((sK7 @ X0 @ (sK8 @ sK7)))) | ($true != ((sK2 @ sK7)))) )),
% 0.18/0.27 inference(trivial_inequality_removal,[],[f462])).
% 0.18/0.27 thf(f483,plain,(
% 0.18/0.27 ( ! [X0 : a] : (($true != ((sK7 @ X0 @ (sK8 @ sK7)))) | ($true = ((sK7 @ sK1 @ sK3))) | ($true != ((sK7 @ (sK10 @ sK7) @ X0)))) ) | ~spl11_2),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f478,f27])).
% 0.18/0.27 thf(f485,plain,(
% 0.18/0.27 spl11_12 | spl11_11 | ~spl11_2),
% 0.18/0.27 inference(avatar_split_clause,[],[f483,f25,f115,f119])).
% 0.18/0.27 thf(f492,plain,(
% 0.18/0.27 ( ! [X0 : a] : (($true != ((sK7 @ X0 @ (sK5 @ sK7)))) | ($true = ((sK7 @ sK0 @ sK1))) | ($true = $false) | ($true != ((sK7 @ (sK6 @ sK7) @ X0))) | ($true != ((sK2 @ sK7)))) )),
% 0.18/0.27 inference(superposition,[],[f13,f396])).
% 0.18/0.27 thf(f503,plain,(
% 0.18/0.27 ( ! [X0 : a] : (($true != ((sK2 @ sK7))) | ($true != ((sK7 @ (sK6 @ sK7) @ X0))) | ($true != ((sK7 @ X0 @ (sK5 @ sK7)))) | ($true = ((sK7 @ sK0 @ sK1)))) )),
% 0.18/0.27 inference(trivial_inequality_removal,[],[f492])).
% 0.18/0.27 thf(f563,plain,(
% 0.18/0.27 ($true != $true) | ($true != ((sK7 @ (sK9 @ sK7) @ (sK8 @ sK7)))) | ($true = ((sK7 @ sK1 @ sK3))) | ($true != ((sK2 @ sK7))) | ~spl11_12),
% 0.18/0.27 inference(superposition,[],[f120,f11])).
% 0.18/0.27 thf(f564,plain,(
% 0.18/0.27 ($true != ((sK7 @ (sK9 @ sK7) @ (sK8 @ sK7)))) | ($true != ((sK2 @ sK7))) | ($true = ((sK7 @ sK1 @ sK3))) | ~spl11_12),
% 0.18/0.27 inference(trivial_inequality_removal,[],[f563])).
% 0.18/0.27 thf(f566,plain,(
% 0.18/0.27 ($true != ((sK2 @ sK7))) | ($true = ((sK7 @ sK1 @ sK3))) | ~spl11_12),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f564,f9])).
% 0.18/0.27 thf(f567,plain,(
% 0.18/0.27 ($true = ((sK7 @ sK1 @ sK3))) | (~spl11_2 | ~spl11_12)),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f566,f27])).
% 0.18/0.27 thf(f577,plain,(
% 0.18/0.27 ( ! [X0 : a] : (($true = ((sK7 @ sK0 @ sK1))) | ($true != ((sK7 @ X0 @ (sK5 @ sK7)))) | ($true != ((sK7 @ (sK6 @ sK7) @ X0)))) ) | ~spl11_2),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f503,f27])).
% 0.18/0.27 thf(f580,plain,(
% 0.18/0.27 spl11_11 | ~spl11_2 | ~spl11_12),
% 0.18/0.27 inference(avatar_split_clause,[],[f567,f119,f25,f115])).
% 0.18/0.27 thf(f582,plain,(
% 0.18/0.27 spl11_18 | spl11_19 | ~spl11_2),
% 0.18/0.27 inference(avatar_split_clause,[],[f577,f25,f195,f191])).
% 0.18/0.27 thf(f586,plain,(
% 0.18/0.27 ($true = ((sK7 @ sK0 @ sK1))) | ($true != ((sK2 @ sK7))) | ($true != $true) | ($true != ((sK7 @ (sK4 @ sK7) @ (sK5 @ sK7)))) | ~spl11_19),
% 0.18/0.27 inference(superposition,[],[f196,f16])).
% 0.18/0.27 thf(f589,plain,(
% 0.18/0.27 ($true != ((sK2 @ sK7))) | ($true != ((sK7 @ (sK4 @ sK7) @ (sK5 @ sK7)))) | ($true = ((sK7 @ sK0 @ sK1))) | ~spl11_19),
% 0.18/0.27 inference(trivial_inequality_removal,[],[f586])).
% 0.18/0.27 thf(f590,plain,(
% 0.18/0.27 ($true = ((sK7 @ sK0 @ sK1))) | ($true != ((sK2 @ sK7))) | ~spl11_19),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f589,f17])).
% 0.18/0.27 thf(f591,plain,(
% 0.18/0.27 ($true != ((sK2 @ sK7))) | (spl11_18 | ~spl11_19)),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f590,f192])).
% 0.18/0.27 thf(f592,plain,(
% 0.18/0.27 $false | (~spl11_2 | spl11_18 | ~spl11_19)),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f591,f27])).
% 0.18/0.27 thf(f593,plain,(
% 0.18/0.27 ~spl11_2 | spl11_18 | ~spl11_19),
% 0.18/0.27 inference(avatar_contradiction_clause,[],[f592])).
% 0.18/0.27 cnf(s1, plain, ~spl11_1, inference(sat_conversion,[],[f23])).
% 0.18/0.27 cnf(s2, plain, spl11_2, inference(sat_conversion,[],[f28])).
% 0.18/0.27 cnf(s16, plain, spl11_1 | ~spl11_11 | ~spl11_18, inference(sat_conversion,[],[f202])).
% 0.18/0.27 cnf(s45, plain, ~spl11_2 | spl11_11 | spl11_12, inference(sat_conversion,[],[f485])).
% 0.18/0.27 cnf(s58, plain, ~spl11_2 | spl11_11 | ~spl11_12, inference(sat_conversion,[],[f580])).
% 0.18/0.27 cnf(s60, plain, ~spl11_2 | spl11_18 | spl11_19, inference(sat_conversion,[],[f582])).
% 0.18/0.27 cnf(s61, plain, ~spl11_2 | spl11_18 | ~spl11_19, inference(sat_conversion,[],[f593])).
% 0.18/0.27 cnf(s62, plain, spl11_11, inference(rat,[],[s45,s58,s2])).
% 0.18/0.27 cnf(s63, plain, ~spl11_18, inference(rat,[],[s16,s1,s62])).
% 0.18/0.27 cnf(s64, plain, ~spl11_19, inference(rat,[],[s61,s2,s63])).
% 0.18/0.27 cnf(s65, plain, $false, inference(rat,[],[s60,s2,s64,s63])).
% 0.18/0.27 thf(f594,plain,(
% 0.18/0.27 $false),
% 0.18/0.27 inference(avatar_sat_refutation,[],[s65])).
% 0.18/0.27 % SZS output end Proof for theBenchmark
% 0.18/0.27 % (204616)------------------------------
% 0.18/0.27 % (204616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (204616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (204616)CaDiCaL version: 2.1.3
% 0.18/0.27 % (204616)Termination reason: Refutation
% 0.18/0.27 % (204616)Time elapsed: 0.012 s
% 0.18/0.27 % (204616)Peak memory usage: 13 MB
% 0.18/0.27 % (204616)Instructions burned: 36 (million)
% 0.18/0.27 % (204608)Success in time 0.041 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------