%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU696^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:30:49 AM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU696^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 14:11:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 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
% 0.21/0.29 % (2915092)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.29 % (2915100)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=1644360884: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)
% 0.21/0.29 % (2915097)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=131634402:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.29 % (2915098)lrs+10_16_si=on:nwc=1.5:random_seed=2456149072:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.29 % (2915099)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=577835440:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.29 % (2915099)Instruction limit reached!
% 0.21/0.29 % (2915099)------------------------------
% 0.21/0.29 % (2915099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (2915099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (2915099)CaDiCaL version: 2.1.3
% 0.21/0.29 % (2915099)Termination reason: Instruction limit
% 0.21/0.29 % (2915099)Termination phase: Saturation
% 0.21/0.29 % (2915099)Time elapsed: 0.004 s
% 0.21/0.29 % (2915099)Peak memory usage: 12 MB
% 0.21/0.29 % (2915099)Instructions burned: 6 (million)
% 0.21/0.29 % (2915100) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2915092-2915100"...
% 0.21/0.29 % (2915100)...printing done.
% 0.21/0.29 % (2915100)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% 0.21/0.29 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.29 thf(func_def_0, type, in: ($i > $i > $o)).
% 0.21/0.29 thf(func_def_1, type, dpsetconstr: ($i > $i > ($i > $i > $o) > $i)).
% 0.21/0.29 thf(func_def_2, type, func: ($i > $i > $i > $o)).
% 0.21/0.29 thf(func_def_3, type, ap: ($i > $i > $i > $i > $i)).
% 0.21/0.29 thf(func_def_4, type, app: $o).
% 0.21/0.29 thf(func_def_6, type, lam: ($i > $i > ($i > $i) > $i)).
% 0.21/0.29 thf(func_def_7, type, lamp: $o).
% 0.21/0.29 thf(func_def_8, type, funcext: $o).
% 0.21/0.29 thf(func_def_9, type, beta1: $o).
% 0.21/0.29 thf(func_def_12, type, db0: !>[X0: $tType]:(X0)).
% 0.21/0.29 thf(func_def_13, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.21/0.29 thf(func_def_14, type, db2: !>[X0: $tType]:(X0)).
% 0.21/0.29 thf(func_def_15, type, db1: !>[X0: $tType]:(X0)).
% 0.21/0.29 thf(func_def_16, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.21/0.29 thf(func_def_21, type, sK4: ($i > $i > $i > $i > $i)).
% 0.21/0.29 thf(func_def_22, type, sK5: ($i > ($i > $i) > $i > $i)).
% 0.21/0.29 thf(func_def_24, type, sK7: ($i > $i)).
% 0.21/0.29 thf(func_def_27, type, sK10: ($i > ($i > $i) > $i > $i)).
% 0.21/0.29 thf(func_def_29, type, sK12: ($i > $i)).
% 0.21/0.29 thf(f1,axiom,(
% 0.21/0.29 (! [X2 : $i,X0 : $i,X1 : $i] : ((func @ X0 @ X1 @ X2) => ! [X3 : $i] : ((in @ X3 @ X0) => (in @ (ap @ X0 @ X1 @ X2 @ X3) @ X1))) = app)),
% 0.21/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',app)).
% 0.21/0.29 thf(f3,axiom,(
% 0.21/0.29 (! [X0 : $i,X1 : $i,X2 : ($i > $i)] : (! [X3 : $i] : ((in @ X3 @ X0) => (in @ (X2 @ X3) @ X1)) => (func @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[X3 : $i] : ((X2 @ X3)))))) = lamp)),
% 0.21/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lamp)).
% 0.21/0.29 thf(f4,axiom,(
% 0.21/0.29 (funcext = ! [X0 : $i,X1 : $i,X2 : $i] : ((func @ X0 @ X1 @ X2) => ! [X3 : $i] : ((func @ X0 @ X1 @ X3) => (! [X4 : $i] : ((in @ X4 @ X0) => (((ap @ X0 @ X1 @ X2 @ X4)) = ((ap @ X0 @ X1 @ X3 @ X4)))) => (X2 = X3)))))),
% 0.21/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',funcext)).
% 0.21/0.29 thf(f5,axiom,(
% 0.21/0.29 (beta1 = ! [X2 : ($i > $i),X0 : $i,X1 : $i] : (! [X3 : $i] : ((in @ X3 @ X0) => (in @ (X2 @ X3) @ X1)) => ! [X3 : $i] : ((in @ X3 @ X0) => (((ap @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[X4 : $i] : ((X2 @ X4)))) @ X3)) = ((X2 @ X3))))))),
% 0.21/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta1)).
% 0.21/0.29 thf(f6,conjecture,(
% 0.21/0.29 app => (lamp => (funcext => (beta1 => ! [X0 : $i,X1 : $i,X2 : $i] : ((func @ X0 @ X1 @ X2) => (((lam @ X0 @ X1 @ (^[X3 : $i] : ((ap @ X0 @ X1 @ X2 @ X3))))) = X2)))))),
% 0.21/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eta1)).
% 0.21/0.29 thf(f7,negated_conjecture,(
% 0.21/0.29 ~(app => (lamp => (funcext => (beta1 => ! [X0 : $i,X1 : $i,X2 : $i] : ((func @ X0 @ X1 @ X2) => (((lam @ X0 @ X1 @ (^[X3 : $i] : ((ap @ X0 @ X1 @ X2 @ X3))))) = X2))))))),
% 0.21/0.29 inference(negated_conjecture,[status(cth)],[f6])).
% 0.21/0.29 thf(f8,plain,(
% 0.21/0.29 (beta1 = ! [X0 : ($i > $i),X1 : $i,X2 : $i] : (! [X3 : $i] : ((in @ X3 @ X1) => (in @ (X0 @ X3) @ X2)) => ! [X4 : $i] : ((in @ X4 @ X1) => (((ap @ X1 @ X2 @ (lam @ X1 @ X2 @ (^[X5 : $i] : ((X0 @ X5)))) @ X4)) = ((X0 @ X4))))))),
% 0.21/0.29 inference(rectify,[],[f5])).
% 0.21/0.29 thf(f9,plain,(
% 0.21/0.29 ! [X0 : ($i > $i),X2 : $i,X1 : $i] : (! [X3 : $i] : ((((in @ X3 @ X1)) = $true) => (((in @ (X0 @ X3) @ X2)) = $true)) => ! [X4 : $i] : (($true = ((in @ X4 @ X1))) => (((X0 @ X4)) = ((ap @ X1 @ X2 @ (lam @ X1 @ X2 @ (^[Y0 : $i]: (X0 @ Y0))) @ X4))))) <=> (beta1 = $true)),
% 0.21/0.29 inference(fool_elimination,[],[f8])).
% 0.21/0.29 thf(f10,plain,(
% 0.21/0.29 (! [X0 : $i,X1 : $i,X2 : $i] : ((func @ X1 @ X2 @ X0) => ! [X3 : $i] : ((in @ X3 @ X1) => (in @ (ap @ X1 @ X2 @ X0 @ X3) @ X2))) = app)),
% 0.21/0.29 inference(rectify,[],[f1])).
% 0.21/0.29 thf(f11,plain,(
% 0.21/0.29 ! [X1 : $i,X0 : $i,X2 : $i] : ((((func @ X1 @ X2 @ X0)) = $true) => ! [X3 : $i] : ((((in @ X3 @ X1)) = $true) => ($true = ((in @ (ap @ X1 @ X2 @ X0 @ X3) @ X2))))) <=> (app = $true)),
% 0.21/0.29 inference(fool_elimination,[],[f10])).
% 0.21/0.29 thf(f12,plain,(
% 0.21/0.29 (! [X0 : $i,X1 : $i,X2 : ($i > $i)] : (! [X3 : $i] : ((in @ X3 @ X0) => (in @ (X2 @ X3) @ X1)) => (func @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[X4 : $i] : ((X2 @ X4)))))) = lamp)),
% 0.21/0.29 inference(rectify,[],[f3])).
% 0.21/0.29 thf(f13,plain,(
% 0.21/0.29 ! [X1 : $i,X2 : ($i > $i),X0 : $i] : (! [X3 : $i] : ((((in @ X3 @ X0)) = $true) => (((in @ (X2 @ X3) @ X1)) = $true)) => ($true = ((func @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))))) <=> (lamp = $true)),
% 0.21/0.29 inference(fool_elimination,[],[f12])).
% 0.21/0.29 thf(f14,plain,(
% 0.21/0.29 ~(app => (lamp => (funcext => (beta1 => ! [X0 : $i,X1 : $i,X2 : $i] : ((func @ X0 @ X1 @ X2) => (((lam @ X0 @ X1 @ (^[X3 : $i] : ((ap @ X0 @ X1 @ X2 @ X3))))) = X2))))))),
% 0.21/0.29 inference(rectify,[],[f7])).
% 0.21/0.29 thf(f15,plain,(
% 0.21/0.29 ~((app = $true) => ((lamp = $true) => ((funcext = $true) => ((beta1 = $true) => ! [X0 : $i,X1 : $i,X2 : $i] : ((((func @ X0 @ X1 @ X2)) = $true) => (((lam @ X0 @ X1 @ (^[Y0 : $i]: (ap @ X0 @ X1 @ X2 @ Y0)))) = X2))))))),
% 0.21/0.29 inference(fool_elimination,[],[f14])).
% 0.21/0.29 thf(f16,plain,(
% 0.21/0.29 (funcext = ! [X0 : $i,X1 : $i,X2 : $i] : ((func @ X0 @ X1 @ X2) => ! [X3 : $i] : ((func @ X0 @ X1 @ X3) => (! [X4 : $i] : ((in @ X4 @ X0) => (((ap @ X0 @ X1 @ X2 @ X4)) = ((ap @ X0 @ X1 @ X3 @ X4)))) => (X2 = X3)))))),
% 0.21/0.29 inference(rectify,[],[f4])).
% 0.21/0.29 thf(f17,plain,(
% 0.21/0.29 (funcext = $true) <=> ! [X1 : $i,X0 : $i,X2 : $i] : ((((func @ X0 @ X1 @ X2)) = $true) => ! [X3 : $i] : ((((func @ X0 @ X1 @ X3)) = $true) => (! [X4 : $i] : ((((in @ X4 @ X0)) = $true) => (((ap @ X0 @ X1 @ X2 @ X4)) = ((ap @ X0 @ X1 @ X3 @ X4)))) => (X2 = X3))))),
% 0.21/0.29 inference(fool_elimination,[],[f16])).
% 0.21/0.29 thf(f20,plain,(
% 0.21/0.29 (app = $true) <=> ! [X2 : $i,X0 : $i,X1 : $i] : ((((func @ X1 @ X2 @ X0)) != $true) | ! [X3 : $i] : ((((in @ X3 @ X1)) != $true) | ($true = ((in @ (ap @ X1 @ X2 @ X0 @ X3) @ X2)))))),
% 0.21/0.29 inference(ennf_transformation,[],[f11])).
% 0.21/0.29 thf(f21,plain,(
% 0.21/0.29 ! [X1 : $i,X2 : ($i > $i),X0 : $i] : (? [X3 : $i] : ((((in @ (X2 @ X3) @ X1)) != $true) & (((in @ X3 @ X0)) = $true)) | ($true = ((func @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))))) <=> (lamp = $true)),
% 0.21/0.29 inference(ennf_transformation,[],[f13])).
% 0.21/0.29 thf(f22,plain,(
% 0.21/0.29 (((? [X0 : $i,X2 : $i,X1 : $i] : ((((lam @ X0 @ X1 @ (^[Y0 : $i]: (ap @ X0 @ X1 @ X2 @ Y0)))) != X2) & (((func @ X0 @ X1 @ X2)) = $true)) & (beta1 = $true)) & (funcext = $true)) & (lamp = $true)) & (app = $true)),
% 0.21/0.29 inference(ennf_transformation,[],[f15])).
% 0.21/0.29 thf(f23,plain,(
% 0.21/0.29 ? [X0 : $i,X2 : $i,X1 : $i] : ((((lam @ X0 @ X1 @ (^[Y0 : $i]: (ap @ X0 @ X1 @ X2 @ Y0)))) != X2) & (((func @ X0 @ X1 @ X2)) = $true)) & (funcext = $true) & (app = $true) & (lamp = $true) & (beta1 = $true)),
% 0.21/0.29 inference(flattening,[],[f22])).
% 0.21/0.29 thf(f24,plain,(
% 0.21/0.29 (funcext = $true) <=> ! [X1 : $i,X0 : $i,X2 : $i] : (! [X3 : $i] : (((X2 = X3) | ? [X4 : $i] : ((((ap @ X0 @ X1 @ X2 @ X4)) != ((ap @ X0 @ X1 @ X3 @ X4))) & (((in @ X4 @ X0)) = $true))) | (((func @ X0 @ X1 @ X3)) != $true)) | (((func @ X0 @ X1 @ X2)) != $true))),
% 0.21/0.29 inference(ennf_transformation,[],[f17])).
% 0.21/0.29 thf(f25,plain,(
% 0.21/0.29 (funcext = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (! [X3 : $i] : (? [X4 : $i] : ((((ap @ X0 @ X1 @ X2 @ X4)) != ((ap @ X0 @ X1 @ X3 @ X4))) & (((in @ X4 @ X0)) = $true)) | (((func @ X0 @ X1 @ X3)) != $true) | (X2 = X3)) | (((func @ X0 @ X1 @ X2)) != $true))),
% 0.21/0.29 inference(flattening,[],[f24])).
% 0.21/0.29 thf(f26,plain,(
% 0.21/0.29 ! [X2 : $i,X0 : ($i > $i),X1 : $i] : (? [X3 : $i] : ((((in @ (X0 @ X3) @ X2)) != $true) & (((in @ X3 @ X1)) = $true)) | ! [X4 : $i] : (($true != ((in @ X4 @ X1))) | (((X0 @ X4)) = ((ap @ X1 @ X2 @ (lam @ X1 @ X2 @ (^[Y0 : $i]: (X0 @ Y0))) @ X4))))) <=> (beta1 = $true)),
% 0.21/0.29 inference(ennf_transformation,[],[f9])).
% 0.21/0.29 thf(f27,plain,(
% 0.21/0.29 ((funcext = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (? [X3 : $i] : (! [X4 : $i] : ((((ap @ X0 @ X1 @ X2 @ X4)) = ((ap @ X0 @ X1 @ X3 @ X4))) | (((in @ X4 @ X0)) != $true)) & (((func @ X0 @ X1 @ X3)) = $true) & (X2 != X3)) & (((func @ X0 @ X1 @ X2)) = $true))) & (! [X0 : $i,X1 : $i,X2 : $i] : (! [X3 : $i] : (? [X4 : $i] : ((((ap @ X0 @ X1 @ X2 @ X4)) != ((ap @ X0 @ X1 @ X3 @ X4))) & (((in @ X4 @ X0)) = $true)) | (((func @ X0 @ X1 @ X3)) != $true) | (X2 = X3)) | (((func @ X0 @ X1 @ X2)) != $true)) | (funcext != $true))),
% 0.21/0.29 inference(nnf_transformation,[],[f25])).
% 0.21/0.29 thf(f28,plain,(
% 0.21/0.29 ((funcext = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (? [X3 : $i] : (! [X4 : $i] : ((((ap @ X0 @ X1 @ X2 @ X4)) = ((ap @ X0 @ X1 @ X3 @ X4))) | (((in @ X4 @ X0)) != $true)) & (((func @ X0 @ X1 @ X3)) = $true) & (X2 != X3)) & (((func @ X0 @ X1 @ X2)) = $true))) & (! [X5 : $i,X6 : $i,X7 : $i] : (! [X8 : $i] : (? [X9 : $i] : ((((ap @ X5 @ X6 @ X7 @ X9)) != ((ap @ X5 @ X6 @ X8 @ X9))) & (((in @ X9 @ X5)) = $true)) | (((func @ X5 @ X6 @ X8)) != $true) | (X7 = X8)) | (((func @ X5 @ X6 @ X7)) != $true)) | (funcext != $true))),
% 0.21/0.29 inference(rectify,[],[f27])).
% 0.21/0.29 thf(f29,plain,(
% 0.21/0.29 ((funcext = $true) | ((! [X4 : $i] : ((((ap @ sK0 @ sK1 @ sK2 @ X4)) = ((ap @ sK0 @ sK1 @ sK3 @ X4))) | (((in @ X4 @ sK0)) != $true)) & ($true = ((func @ sK0 @ sK1 @ sK3))) & (sK3 != sK2)) & (((func @ sK0 @ sK1 @ sK2)) = $true))) & (! [X5 : $i,X6 : $i,X7 : $i] : (! [X8 : $i] : (((((ap @ X5 @ X6 @ X7 @ (sK4 @ X8 @ X7 @ X6 @ X5))) != ((ap @ X5 @ X6 @ X8 @ (sK4 @ X8 @ X7 @ X6 @ X5)))) & (((in @ (sK4 @ X8 @ X7 @ X6 @ X5) @ X5)) = $true)) | (((func @ X5 @ X6 @ X8)) != $true) | (X7 = X8)) | (((func @ X5 @ X6 @ X7)) != $true)) | (funcext != $true))),
% 0.21/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X9,sK4 @ X8 @ X7 @ X6 @ X5)],[f28])).
% 0.21/0.29 thf(f30,plain,(
% 0.21/0.29 (! [X2 : $i,X0 : ($i > $i),X1 : $i] : (? [X3 : $i] : ((((in @ (X0 @ X3) @ X2)) != $true) & (((in @ X3 @ X1)) = $true)) | ! [X4 : $i] : (($true != ((in @ X4 @ X1))) | (((X0 @ X4)) = ((ap @ X1 @ X2 @ (lam @ X1 @ X2 @ (^[Y0 : $i]: (X0 @ Y0))) @ X4))))) | (beta1 != $true)) & ((beta1 = $true) | ? [X2 : $i,X0 : ($i > $i),X1 : $i] : (! [X3 : $i] : ((((in @ (X0 @ X3) @ X2)) = $true) | (((in @ X3 @ X1)) != $true)) & ? [X4 : $i] : (($true = ((in @ X4 @ X1))) & (((X0 @ X4)) != ((ap @ X1 @ X2 @ (lam @ X1 @ X2 @ (^[Y0 : $i]: (X0 @ Y0))) @ X4))))))),
% 0.21/0.29 inference(nnf_transformation,[],[f26])).
% 0.21/0.29 thf(f31,plain,(
% 0.21/0.29 (! [X0 : $i,X1 : ($i > $i),X2 : $i] : (? [X3 : $i] : (($true != ((in @ (X1 @ X3) @ X0))) & (((in @ X3 @ X2)) = $true)) | ! [X4 : $i] : ((((in @ X4 @ X2)) != $true) | (((X1 @ X4)) = ((ap @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X4))))) | (beta1 != $true)) & ((beta1 = $true) | ? [X5 : $i,X6 : ($i > $i),X7 : $i] : (! [X8 : $i] : ((((in @ (X6 @ X8) @ X5)) = $true) | ($true != ((in @ X8 @ X7)))) & ? [X9 : $i] : ((((in @ X9 @ X7)) = $true) & (((ap @ X7 @ X5 @ (lam @ X7 @ X5 @ (^[Y0 : $i]: (X6 @ Y0))) @ X9)) != ((X6 @ X9))))))),
% 0.21/0.29 inference(rectify,[],[f30])).
% 0.21/0.29 thf(f32,plain,(
% 0.21/0.29 (! [X0 : $i,X1 : ($i > $i),X2 : $i] : (((((in @ (X1 @ (sK5 @ X2 @ X1 @ X0)) @ X0)) != $true) & (((in @ (sK5 @ X2 @ X1 @ X0) @ X2)) = $true)) | ! [X4 : $i] : ((((in @ X4 @ X2)) != $true) | (((X1 @ X4)) = ((ap @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X4))))) | (beta1 != $true)) & ((beta1 = $true) | (! [X8 : $i] : (($true = ((in @ (sK7 @ X8) @ sK6))) | (((in @ X8 @ sK8)) != $true)) & ((((in @ sK9 @ sK8)) = $true) & (((ap @ sK8 @ sK6 @ (lam @ sK8 @ sK6 @ (^[Y0 : $i]: (sK7 @ Y0))) @ sK9)) != ((sK7 @ sK9))))))),
% 0.21/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK6,sK7,sK8,sK9]),skolemize(X9,sK4 @ X8 @ X7 @ X6 @ X5),skolemize(X5,sK6),skolemize(X6,sK7),skolemize(X7,sK8),skolemize(X9,sK9)],[f31])).
% 0.21/0.29 thf(f33,plain,(
% 0.21/0.29 (! [X1 : $i,X2 : ($i > $i),X0 : $i] : (? [X3 : $i] : ((((in @ (X2 @ X3) @ X1)) != $true) & (((in @ X3 @ X0)) = $true)) | ($true = ((func @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))))) | (lamp != $true)) & ((lamp = $true) | ? [X1 : $i,X2 : ($i > $i),X0 : $i] : (! [X3 : $i] : ((((in @ (X2 @ X3) @ X1)) = $true) | (((in @ X3 @ X0)) != $true)) & ($true != ((func @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))))))),
% 0.21/0.29 inference(nnf_transformation,[],[f21])).
% 0.21/0.29 thf(f34,plain,(
% 0.21/0.29 (! [X0 : $i,X1 : ($i > $i),X2 : $i] : (? [X3 : $i] : (($true != ((in @ (X1 @ X3) @ X0))) & (((in @ X3 @ X2)) = $true)) | (((func @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))))) = $true)) | (lamp != $true)) & ((lamp = $true) | ? [X4 : $i,X5 : ($i > $i),X6 : $i] : (! [X7 : $i] : (($true = ((in @ (X5 @ X7) @ X4))) | (((in @ X7 @ X6)) != $true)) & ($true != ((func @ X6 @ X4 @ (lam @ X6 @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))))))),
% 0.21/0.29 inference(rectify,[],[f33])).
% 0.21/0.29 thf(f35,plain,(
% 0.21/0.29 (! [X0 : $i,X1 : ($i > $i),X2 : $i] : (((((in @ (X1 @ (sK10 @ X2 @ X1 @ X0)) @ X0)) != $true) & ($true = ((in @ (sK10 @ X2 @ X1 @ X0) @ X2)))) | (((func @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))))) = $true)) | (lamp != $true)) & ((lamp = $true) | (! [X7 : $i] : ((((in @ (sK12 @ X7) @ sK11)) = $true) | (((in @ X7 @ sK13)) != $true)) & ($true != ((func @ sK13 @ sK11 @ (lam @ sK13 @ sK11 @ (^[Y0 : $i]: (sK12 @ Y0))))))))),
% 0.21/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK11,sK12,sK13]),skolemize(X9,sK4 @ X8 @ X7 @ X6 @ X5),skolemize(X4,sK11),skolemize(X5,sK12),skolemize(X6,sK13)],[f34])).
% 0.21/0.29 thf(f36,plain,(
% 0.21/0.29 ((app = $true) | ? [X2 : $i,X0 : $i,X1 : $i] : ((((func @ X1 @ X2 @ X0)) = $true) & ? [X3 : $i] : ((((in @ X3 @ X1)) = $true) & ($true != ((in @ (ap @ X1 @ X2 @ X0 @ X3) @ X2)))))) & (! [X2 : $i,X0 : $i,X1 : $i] : ((((func @ X1 @ X2 @ X0)) != $true) | ! [X3 : $i] : ((((in @ X3 @ X1)) != $true) | ($true = ((in @ (ap @ X1 @ X2 @ X0 @ X3) @ X2))))) | (app != $true))),
% 0.21/0.29 inference(nnf_transformation,[],[f20])).
% 0.21/0.29 thf(f37,plain,(
% 0.21/0.29 ((app = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : ((((func @ X2 @ X0 @ X1)) = $true) & ? [X3 : $i] : ((((in @ X3 @ X2)) = $true) & ($true != ((in @ (ap @ X2 @ X0 @ X1 @ X3) @ X0)))))) & (! [X4 : $i,X5 : $i,X6 : $i] : (($true != ((func @ X6 @ X4 @ X5))) | ! [X7 : $i] : ((((in @ X7 @ X6)) != $true) | (((in @ (ap @ X6 @ X4 @ X5 @ X7) @ X4)) = $true))) | (app != $true))),
% 0.21/0.29 inference(rectify,[],[f36])).
% 0.21/0.29 thf(f38,plain,(
% 0.21/0.29 ((app = $true) | ((((func @ sK16 @ sK14 @ sK15)) = $true) & ((((in @ sK17 @ sK16)) = $true) & ($true != ((in @ (ap @ sK16 @ sK14 @ sK15 @ sK17) @ sK14)))))) & (! [X4 : $i,X5 : $i,X6 : $i] : (($true != ((func @ X6 @ X4 @ X5))) | ! [X7 : $i] : ((((in @ X7 @ X6)) != $true) | (((in @ (ap @ X6 @ X4 @ X5 @ X7) @ X4)) = $true))) | (app != $true))),
% 0.21/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17]),skolemize(X0,sK14),skolemize(X1,sK15),skolemize(X2,sK16),skolemize(X3,sK17)],[f37])).
% 0.21/0.29 thf(f39,plain,(
% 0.21/0.29 ? [X0 : $i,X1 : $i,X2 : $i] : ((((lam @ X0 @ X2 @ (^[Y0 : $i]: (ap @ X0 @ X2 @ X1 @ Y0)))) != X1) & ($true = ((func @ X0 @ X2 @ X1)))) & (funcext = $true) & (app = $true) & (lamp = $true) & (beta1 = $true)),
% 0.21/0.29 inference(rectify,[],[f23])).
% 0.21/0.29 thf(f40,plain,(
% 0.21/0.29 ((((lam @ sK18 @ sK20 @ (^[Y0 : $i]: (ap @ sK18 @ sK20 @ sK19 @ Y0)))) != sK19) & ($true = ((func @ sK18 @ sK20 @ sK19)))) & (funcext = $true) & (app = $true) & (lamp = $true) & (beta1 = $true)),
% 0.21/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20)],[f39])).
% 0.21/0.29 thf(f41,plain,(
% 0.21/0.29 ( ! [X8 : $i,X6 : $i,X7 : $i,X5 : $i] : ((((func @ X5 @ X6 @ X7)) != $true) | (funcext != $true) | (X7 = X8) | (((func @ X5 @ X6 @ X8)) != $true) | (((in @ (sK4 @ X8 @ X7 @ X6 @ X5) @ X5)) = $true)) )),
% 0.21/0.29 inference(cnf_transformation,[],[f29])).
% 0.21/0.29 thf(f42,plain,(
% 0.21/0.29 ( ! [X8 : $i,X6 : $i,X7 : $i,X5 : $i] : ((((func @ X5 @ X6 @ X7)) != $true) | (X7 = X8) | (((func @ X5 @ X6 @ X8)) != $true) | (funcext != $true) | (((ap @ X5 @ X6 @ X7 @ (sK4 @ X8 @ X7 @ X6 @ X5))) != ((ap @ X5 @ X6 @ X8 @ (sK4 @ X8 @ X7 @ X6 @ X5))))) )),
% 0.21/0.29 inference(cnf_transformation,[],[f29])).
% 0.21/0.29 thf(f50,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i),X4 : $i] : ((((in @ X4 @ X2)) != $true) | (((X1 @ X4)) = ((ap @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X4))) | (((in @ (sK5 @ X2 @ X1 @ X0) @ X2)) = $true) | (beta1 != $true)) )),
% 0.21/0.29 inference(cnf_transformation,[],[f32])).
% 0.21/0.29 thf(f51,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i),X4 : $i] : ((((in @ (X1 @ (sK5 @ X2 @ X1 @ X0)) @ X0)) != $true) | (((X1 @ X4)) = ((ap @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X4))) | (beta1 != $true) | (((in @ X4 @ X2)) != $true)) )),
% 0.21/0.29 inference(cnf_transformation,[],[f32])).
% 0.21/0.29 thf(f54,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i)] : ((((func @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))))) = $true) | (lamp != $true) | ($true = ((in @ (sK10 @ X2 @ X1 @ X0) @ X2)))) )),
% 0.21/0.29 inference(cnf_transformation,[],[f35])).
% 0.21/0.29 thf(f55,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i)] : ((((in @ (X1 @ (sK10 @ X2 @ X1 @ X0)) @ X0)) != $true) | (lamp != $true) | (((func @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))))) = $true)) )),
% 0.21/0.29 inference(cnf_transformation,[],[f35])).
% 0.21/0.29 thf(f56,plain,(
% 0.21/0.29 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((in @ (ap @ X6 @ X4 @ X5 @ X7) @ X4)) = $true) | ($true != ((func @ X6 @ X4 @ X5))) | (((in @ X7 @ X6)) != $true) | (app != $true)) )),
% 0.21/0.29 inference(cnf_transformation,[],[f38])).
% 0.21/0.29 thf(f60,plain,(
% 0.21/0.29 (beta1 = $true)),
% 0.21/0.29 inference(cnf_transformation,[],[f40])).
% 0.21/0.29 thf(f61,plain,(
% 0.21/0.29 (lamp = $true)),
% 0.21/0.29 inference(cnf_transformation,[],[f40])).
% 0.21/0.29 thf(f62,plain,(
% 0.21/0.29 (app = $true)),
% 0.21/0.29 inference(cnf_transformation,[],[f40])).
% 0.21/0.29 thf(f63,plain,(
% 0.21/0.29 (funcext = $true)),
% 0.21/0.29 inference(cnf_transformation,[],[f40])).
% 0.21/0.29 thf(f64,plain,(
% 0.21/0.29 ($true = ((func @ sK18 @ sK20 @ sK19)))),
% 0.21/0.29 inference(cnf_transformation,[],[f40])).
% 0.21/0.29 thf(f65,plain,(
% 0.21/0.29 (((lam @ sK18 @ sK20 @ (^[Y0 : $i]: (ap @ sK18 @ sK20 @ sK19 @ Y0)))) != sK19)),
% 0.21/0.29 inference(cnf_transformation,[],[f40])).
% 0.21/0.29 thf(f69,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i),X4 : $i] : ((((in @ (sK5 @ X2 @ X1 @ X0) @ X2)) = $true) | (((X1 @ X4)) = ((ap @ X2 @ X0 @ (lam @ X2 @ X0 @ X1) @ X4))) | (beta1 != $true) | (((in @ X4 @ X2)) != $true)) )),
% 0.21/0.29 inference(beta-eta_normalization,[],[f50])).
% 0.21/0.29 thf(f71,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i)] : ((((func @ X2 @ X0 @ (lam @ X2 @ X0 @ X1))) = $true) | (((in @ (X1 @ (sK10 @ X2 @ X1 @ X0)) @ X0)) != $true) | (lamp != $true)) )),
% 0.21/0.29 inference(beta-eta_normalization,[],[f55])).
% 0.21/0.29 thf(f72,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i),X4 : $i] : ((((X1 @ X4)) = ((ap @ X2 @ X0 @ (lam @ X2 @ X0 @ X1) @ X4))) | (((in @ (X1 @ (sK5 @ X2 @ X1 @ X0)) @ X0)) != $true) | (((in @ X4 @ X2)) != $true) | (beta1 != $true)) )),
% 0.21/0.29 inference(beta-eta_normalization,[],[f51])).
% 0.21/0.29 thf(f73,plain,(
% 0.21/0.29 (sK19 != ((lam @ sK18 @ sK20 @ (ap @ sK18 @ sK20 @ sK19))))),
% 0.21/0.29 inference(beta-eta_normalization,[],[f65])).
% 0.21/0.29 thf(f75,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i)] : ((((func @ X2 @ X0 @ (lam @ X2 @ X0 @ X1))) = $true) | ($true = ((in @ (sK10 @ X2 @ X1 @ X0) @ X2))) | (lamp != $true)) )),
% 0.21/0.29 inference(beta-eta_normalization,[],[f54])).
% 0.21/0.29 thf(f77,definition,(
% 0.21/0.29 spl21_1 <=> (funcext = $true)),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition])).
% 0.21/0.29 thf(f86,definition,(
% 0.21/0.29 spl21_3 <=> (beta1 = $true)),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition])).
% 0.21/0.29 thf(f95,definition,(
% 0.21/0.29 spl21_5 <=> ! [X5 : $i,X7 : $i,X6 : $i,X8 : $i] : ((((func @ X5 @ X6 @ X7)) != $true) | (((ap @ X5 @ X6 @ X7 @ (sK4 @ X8 @ X7 @ X6 @ X5))) != ((ap @ X5 @ X6 @ X8 @ (sK4 @ X8 @ X7 @ X6 @ X5)))) | (((func @ X5 @ X6 @ X8)) != $true) | (X7 = X8))),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition])).
% 0.21/0.29 thf(f96,plain,(
% 0.21/0.29 ( ! [X8 : $i,X6 : $i,X7 : $i,X5 : $i] : ((((ap @ X5 @ X6 @ X7 @ (sK4 @ X8 @ X7 @ X6 @ X5))) != ((ap @ X5 @ X6 @ X8 @ (sK4 @ X8 @ X7 @ X6 @ X5)))) | (((func @ X5 @ X6 @ X7)) != $true) | (X7 = X8) | (((func @ X5 @ X6 @ X8)) != $true)) ) | ~spl21_5),
% 0.21/0.29 inference(avatar_component_clause,[],[f95])).
% 0.21/0.29 thf(f97,plain,(
% 0.21/0.29 spl21_5 | ~spl21_1),
% 0.21/0.29 inference(avatar_split_clause,[],[f42,f77,f95])).
% 0.21/0.29 thf(f104,definition,(
% 0.21/0.29 spl21_7 <=> (app = $true)),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition])).
% 0.21/0.29 thf(f107,plain,(
% 0.21/0.29 spl21_7),
% 0.21/0.29 inference(avatar_split_clause,[],[f62,f104])).
% 0.21/0.29 thf(f114,definition,(
% 0.21/0.29 spl21_9 <=> ! [X5 : $i,X4 : $i,X7 : $i,X6 : $i] : ((((in @ (ap @ X6 @ X4 @ X5 @ X7) @ X4)) = $true) | (((in @ X7 @ X6)) != $true) | ($true != ((func @ X6 @ X4 @ X5))))),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_9])],[avatar_definition])).
% 0.21/0.29 thf(f115,plain,(
% 0.21/0.29 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((in @ (ap @ X6 @ X4 @ X5 @ X7) @ X4)) = $true) | (((in @ X7 @ X6)) != $true) | ($true != ((func @ X6 @ X4 @ X5)))) ) | ~spl21_9),
% 0.21/0.29 inference(avatar_component_clause,[],[f114])).
% 0.21/0.29 thf(f116,plain,(
% 0.21/0.29 spl21_9 | ~spl21_7),
% 0.21/0.29 inference(avatar_split_clause,[],[f56,f104,f114])).
% 0.21/0.29 thf(f123,definition,(
% 0.21/0.29 spl21_11 <=> ! [X4 : $i,X0 : $i,X2 : $i,X1 : ($i > $i)] : ((((in @ (sK5 @ X2 @ X1 @ X0) @ X2)) = $true) | (((in @ X4 @ X2)) != $true) | (((X1 @ X4)) = ((ap @ X2 @ X0 @ (lam @ X2 @ X0 @ X1) @ X4))))),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition])).
% 0.21/0.29 thf(f124,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i),X4 : $i] : ((((X1 @ X4)) = ((ap @ X2 @ X0 @ (lam @ X2 @ X0 @ X1) @ X4))) | (((in @ (sK5 @ X2 @ X1 @ X0) @ X2)) = $true) | (((in @ X4 @ X2)) != $true)) ) | ~spl21_11),
% 0.21/0.29 inference(avatar_component_clause,[],[f123])).
% 0.21/0.29 thf(f125,plain,(
% 0.21/0.29 spl21_11 | ~spl21_3),
% 0.21/0.29 inference(avatar_split_clause,[],[f69,f86,f123])).
% 0.21/0.29 thf(f127,definition,(
% 0.21/0.29 spl21_12 <=> ! [X5 : $i,X7 : $i,X6 : $i,X8 : $i] : ((((func @ X5 @ X6 @ X7)) != $true) | (((in @ (sK4 @ X8 @ X7 @ X6 @ X5) @ X5)) = $true) | (((func @ X5 @ X6 @ X8)) != $true) | (X7 = X8))),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_12])],[avatar_definition])).
% 0.21/0.29 thf(f128,plain,(
% 0.21/0.29 ( ! [X8 : $i,X6 : $i,X7 : $i,X5 : $i] : ((((in @ (sK4 @ X8 @ X7 @ X6 @ X5) @ X5)) = $true) | (X7 = X8) | (((func @ X5 @ X6 @ X7)) != $true) | (((func @ X5 @ X6 @ X8)) != $true)) ) | ~spl21_12),
% 0.21/0.29 inference(avatar_component_clause,[],[f127])).
% 0.21/0.29 thf(f129,plain,(
% 0.21/0.29 spl21_12 | ~spl21_1),
% 0.21/0.29 inference(avatar_split_clause,[],[f41,f77,f127])).
% 0.21/0.29 thf(f135,definition,(
% 0.21/0.29 spl21_14 <=> (lamp = $true)),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_14])],[avatar_definition])).
% 0.21/0.29 thf(f139,plain,(
% 0.21/0.29 spl21_14),
% 0.21/0.29 inference(avatar_split_clause,[],[f61,f135])).
% 0.21/0.29 thf(f141,definition,(
% 0.21/0.29 spl21_15 <=> ! [X2 : $i,X0 : $i,X1 : ($i > $i)] : ((((func @ X2 @ X0 @ (lam @ X2 @ X0 @ X1))) = $true) | (((in @ (X1 @ (sK10 @ X2 @ X1 @ X0)) @ X0)) != $true))),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_15])],[avatar_definition])).
% 0.21/0.29 thf(f142,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i)] : ((((func @ X2 @ X0 @ (lam @ X2 @ X0 @ X1))) = $true) | (((in @ (X1 @ (sK10 @ X2 @ X1 @ X0)) @ X0)) != $true)) ) | ~spl21_15),
% 0.21/0.29 inference(avatar_component_clause,[],[f141])).
% 0.21/0.29 thf(f143,plain,(
% 0.21/0.29 spl21_15 | ~spl21_14),
% 0.21/0.29 inference(avatar_split_clause,[],[f71,f135,f141])).
% 0.21/0.29 thf(f145,definition,(
% 0.21/0.29 spl21_16 <=> ! [X2 : $i,X4 : $i,X0 : $i,X1 : ($i > $i)] : ((((X1 @ X4)) = ((ap @ X2 @ X0 @ (lam @ X2 @ X0 @ X1) @ X4))) | (((in @ X4 @ X2)) != $true) | (((in @ (X1 @ (sK5 @ X2 @ X1 @ X0)) @ X0)) != $true))),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_16])],[avatar_definition])).
% 0.21/0.29 thf(f146,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i),X4 : $i] : ((((X1 @ X4)) = ((ap @ X2 @ X0 @ (lam @ X2 @ X0 @ X1) @ X4))) | (((in @ X4 @ X2)) != $true) | (((in @ (X1 @ (sK5 @ X2 @ X1 @ X0)) @ X0)) != $true)) ) | ~spl21_16),
% 0.21/0.29 inference(avatar_component_clause,[],[f145])).
% 0.21/0.29 thf(f147,plain,(
% 0.21/0.29 spl21_16 | ~spl21_3),
% 0.21/0.29 inference(avatar_split_clause,[],[f72,f86,f145])).
% 0.21/0.29 thf(f152,plain,(
% 0.21/0.29 spl21_1),
% 0.21/0.29 inference(avatar_split_clause,[],[f63,f77])).
% 0.21/0.29 thf(f159,definition,(
% 0.21/0.29 spl21_19 <=> (sK19 = ((lam @ sK18 @ sK20 @ (ap @ sK18 @ sK20 @ sK19))))),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_19])],[avatar_definition])).
% 0.21/0.29 thf(f161,plain,(
% 0.21/0.29 (sK19 != ((lam @ sK18 @ sK20 @ (ap @ sK18 @ sK20 @ sK19)))) | spl21_19),
% 0.21/0.29 inference(avatar_component_clause,[],[f159])).
% 0.21/0.29 thf(f162,plain,(
% 0.21/0.29 ~spl21_19),
% 0.21/0.29 inference(avatar_split_clause,[],[f73,f159])).
% 0.21/0.29 thf(f173,definition,(
% 0.21/0.29 spl21_22 <=> ($true = ((func @ sK18 @ sK20 @ sK19)))),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_22])],[avatar_definition])).
% 0.21/0.29 thf(f175,plain,(
% 0.21/0.29 ($true = ((func @ sK18 @ sK20 @ sK19))) | ~spl21_22),
% 0.21/0.29 inference(avatar_component_clause,[],[f173])).
% 0.21/0.29 thf(f176,plain,(
% 0.21/0.29 spl21_22),
% 0.21/0.29 inference(avatar_split_clause,[],[f64,f173])).
% 0.21/0.29 thf(f177,plain,(
% 0.21/0.29 spl21_3),
% 0.21/0.29 inference(avatar_split_clause,[],[f60,f86])).
% 0.21/0.29 thf(f184,definition,(
% 0.21/0.29 spl21_24 <=> ! [X2 : $i,X0 : $i,X1 : ($i > $i)] : ((((func @ X2 @ X0 @ (lam @ X2 @ X0 @ X1))) = $true) | ($true = ((in @ (sK10 @ X2 @ X1 @ X0) @ X2))))),
% 0.21/0.29 introduced(definition,[new_symbols(definition,[spl21_24])],[avatar_definition])).
% 0.21/0.29 thf(f185,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i)] : ((((func @ X2 @ X0 @ (lam @ X2 @ X0 @ X1))) = $true) | ($true = ((in @ (sK10 @ X2 @ X1 @ X0) @ X2)))) ) | ~spl21_24),
% 0.21/0.29 inference(avatar_component_clause,[],[f184])).
% 0.21/0.29 thf(f186,plain,(
% 0.21/0.29 spl21_24 | ~spl21_14),
% 0.21/0.29 inference(avatar_split_clause,[],[f75,f135,f184])).
% 0.21/0.29 thf(f205,plain,(
% 0.21/0.29 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i),X1 : $i] : (($true != ((func @ X2 @ X3 @ (lam @ X2 @ X3 @ X0)))) | (((func @ X2 @ X3 @ X1)) != $true) | (((in @ (sK5 @ X2 @ X0 @ X3) @ X2)) = $true) | (((lam @ X2 @ X3 @ X0)) = X1) | ($true != ((in @ (sK4 @ X1 @ (lam @ X2 @ X3 @ X0) @ X3 @ X2) @ X2))) | (((X0 @ (sK4 @ X1 @ (lam @ X2 @ X3 @ X0) @ X3 @ X2))) != ((ap @ X2 @ X3 @ X1 @ (sK4 @ X1 @ (lam @ X2 @ X3 @ X0) @ X3 @ X2))))) ) | (~spl21_5 | ~spl21_11)),
% 0.21/0.29 inference(superposition,[],[f96,f124])).
% 0.21/0.29 thf(f208,plain,(
% 0.21/0.29 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i),X1 : $i] : ((((X0 @ (sK4 @ X1 @ (lam @ X2 @ X3 @ X0) @ X3 @ X2))) != ((ap @ X2 @ X3 @ X1 @ (sK4 @ X1 @ (lam @ X2 @ X3 @ X0) @ X3 @ X2)))) | (((func @ X2 @ X3 @ X1)) != $true) | (((in @ (sK5 @ X2 @ X0 @ X3) @ X2)) = $true) | ($true != ((func @ X2 @ X3 @ (lam @ X2 @ X3 @ X0)))) | (((lam @ X2 @ X3 @ X0)) = X1)) ) | (~spl21_5 | ~spl21_11 | ~spl21_12)),
% 0.21/0.29 inference(forward_subsumption_resolution,[],[f205,f128])).
% 0.21/0.29 thf(f211,plain,(
% 0.21/0.29 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i),X1 : $i] : (($true != ((in @ (sK4 @ X1 @ (lam @ X2 @ X3 @ X0) @ X3 @ X2) @ X2))) | (((lam @ X2 @ X3 @ X0)) = X1) | (((X0 @ (sK4 @ X1 @ (lam @ X2 @ X3 @ X0) @ X3 @ X2))) != ((ap @ X2 @ X3 @ X1 @ (sK4 @ X1 @ (lam @ X2 @ X3 @ X0) @ X3 @ X2)))) | (((in @ (X0 @ (sK5 @ X2 @ X0 @ X3)) @ X3)) != $true) | (((func @ X2 @ X3 @ X1)) != $true) | ($true != ((func @ X2 @ X3 @ (lam @ X2 @ X3 @ X0))))) ) | (~spl21_5 | ~spl21_16)),
% 0.21/0.29 inference(superposition,[],[f96,f146])).
% 0.21/0.29 thf(f214,plain,(
% 0.21/0.29 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i),X1 : $i] : ((((X0 @ (sK4 @ X1 @ (lam @ X2 @ X3 @ X0) @ X3 @ X2))) != ((ap @ X2 @ X3 @ X1 @ (sK4 @ X1 @ (lam @ X2 @ X3 @ X0) @ X3 @ X2)))) | ($true != ((func @ X2 @ X3 @ (lam @ X2 @ X3 @ X0)))) | (((lam @ X2 @ X3 @ X0)) = X1) | (((in @ (X0 @ (sK5 @ X2 @ X0 @ X3)) @ X3)) != $true) | (((func @ X2 @ X3 @ X1)) != $true)) ) | (~spl21_5 | ~spl21_12 | ~spl21_16)),
% 0.21/0.29 inference(forward_subsumption_resolution,[],[f211,f128])).
% 0.21/0.29 thf(f231,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((func @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)))) != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((func @ X0 @ X1 @ X2)) != $true) | (((in @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)) = $true)) ) | (~spl21_5 | ~spl21_11 | ~spl21_12)),
% 0.21/0.29 inference(equality_resolution,[],[f208])).
% 0.21/0.29 thf(f235,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)) = $true) | (((func @ X0 @ X1 @ X2)) != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | ($true != $true) | (((in @ (ap @ X0 @ X1 @ X2 @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1)) @ X1)) != $true)) ) | (~spl21_5 | ~spl21_11 | ~spl21_12 | ~spl21_15)),
% 0.21/0.29 inference(superposition,[],[f231,f142])).
% 0.21/0.29 thf(f236,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | (((func @ X0 @ X1 @ X2)) != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | ($true = ((in @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0))) | (((in @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)) = $true)) ) | (~spl21_5 | ~spl21_11 | ~spl21_12 | ~spl21_24)),
% 0.21/0.29 inference(superposition,[],[f231,f185])).
% 0.21/0.29 thf(f237,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((in @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0))) | (((in @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)) = $true) | (((func @ X0 @ X1 @ X2)) != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2)) ) | (~spl21_5 | ~spl21_11 | ~spl21_12 | ~spl21_24)),
% 0.21/0.29 inference(trivial_inequality_removal,[],[f236])).
% 0.21/0.29 thf(f238,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ (ap @ X0 @ X1 @ X2 @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1)) @ X1)) != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((in @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)) = $true) | (((func @ X0 @ X1 @ X2)) != $true)) ) | (~spl21_5 | ~spl21_11 | ~spl21_12 | ~spl21_15)),
% 0.21/0.29 inference(trivial_inequality_removal,[],[f235])).
% 0.21/0.29 thf(f241,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | (((in @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)) = $true) | (((func @ X0 @ X1 @ X2)) != $true) | ($true != ((in @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0))) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((func @ X0 @ X1 @ X2)) != $true)) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15)),
% 0.21/0.29 inference(superposition,[],[f238,f115])).
% 0.21/0.29 thf(f242,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((func @ X0 @ X1 @ X2)) != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | ($true != ((in @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0))) | ($true != $true) | (((in @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)) = $true)) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15)),
% 0.21/0.29 inference(duplicate_literal_removal,[],[f241])).
% 0.21/0.29 thf(f243,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)) = $true) | (((func @ X0 @ X1 @ X2)) != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | ($true != ((in @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)))) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15)),
% 0.21/0.29 inference(trivial_inequality_removal,[],[f242])).
% 0.21/0.29 thf(f246,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)) = $true) | (((func @ X0 @ X1 @ X2)) != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2)) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_24)),
% 0.21/0.29 inference(forward_subsumption_resolution,[],[f243,f237])).
% 0.21/0.29 thf(f264,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((in @ (ap @ X0 @ X1 @ X2 @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1)) @ X1))) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((func @ X0 @ X1 @ X2)) != $true) | (((func @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)))) != $true)) ) | (~spl21_5 | ~spl21_12 | ~spl21_16)),
% 0.21/0.29 inference(equality_resolution,[],[f214])).
% 0.21/0.29 thf(f270,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((func @ X0 @ X1 @ X2)) != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((func @ X0 @ X1 @ X2)) != $true) | (((in @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)) != $true) | ($true != $true) | (((func @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)))) != $true)) ) | (~spl21_5 | ~spl21_9 | ~spl21_12 | ~spl21_16)),
% 0.21/0.29 inference(superposition,[],[f264,f115])).
% 0.21/0.29 thf(f271,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((func @ X0 @ X1 @ X2)) != $true) | ($true != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((func @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)))) != $true) | (((in @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)) != $true)) ) | (~spl21_5 | ~spl21_9 | ~spl21_12 | ~spl21_16)),
% 0.21/0.29 inference(duplicate_literal_removal,[],[f270])).
% 0.21/0.29 thf(f272,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((func @ X0 @ X1 @ X2)) != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((in @ (sK5 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)) != $true) | (((func @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)))) != $true)) ) | (~spl21_5 | ~spl21_9 | ~spl21_12 | ~spl21_16)),
% 0.21/0.29 inference(trivial_inequality_removal,[],[f271])).
% 0.21/0.29 thf(f274,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((func @ X0 @ X1 @ (lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2)))) != $true) | (((func @ X0 @ X1 @ X2)) != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2)) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | ~spl21_24)),
% 0.21/0.29 inference(forward_subsumption_resolution,[],[f272,f246])).
% 0.21/0.29 thf(f278,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((func @ X0 @ X1 @ X2)) != $true) | (((in @ (ap @ X0 @ X1 @ X2 @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1)) @ X1)) != $true)) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | ~spl21_24)),
% 0.21/0.29 inference(superposition,[],[f274,f142])).
% 0.21/0.29 thf(f279,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | ($true = ((in @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0))) | (((func @ X0 @ X1 @ X2)) != $true)) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | ~spl21_24)),
% 0.21/0.29 inference(superposition,[],[f274,f185])).
% 0.21/0.29 thf(f280,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((in @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0))) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((func @ X0 @ X1 @ X2)) != $true)) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | ~spl21_24)),
% 0.21/0.29 inference(trivial_inequality_removal,[],[f279])).
% 0.21/0.29 thf(f281,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ (ap @ X0 @ X1 @ X2 @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1)) @ X1)) != $true) | (((func @ X0 @ X1 @ X2)) != $true) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2)) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | ~spl21_24)),
% 0.21/0.29 inference(trivial_inequality_removal,[],[f278])).
% 0.21/0.29 thf(f284,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((in @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0))) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((func @ X0 @ X1 @ X2)) != $true) | ($true != $true) | (((func @ X0 @ X1 @ X2)) != $true)) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | ~spl21_24)),
% 0.21/0.29 inference(superposition,[],[f281,f115])).
% 0.21/0.29 thf(f285,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((func @ X0 @ X1 @ X2)) != $true) | ($true != $true) | ($true != ((in @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0)))) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | ~spl21_24)),
% 0.21/0.29 inference(duplicate_literal_removal,[],[f284])).
% 0.21/0.29 thf(f286,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((in @ (sK10 @ X0 @ (ap @ X0 @ X1 @ X2) @ X1) @ X0))) | (((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((func @ X0 @ X1 @ X2)) != $true)) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | ~spl21_24)),
% 0.21/0.29 inference(trivial_inequality_removal,[],[f285])).
% 0.21/0.29 thf(f288,plain,(
% 0.21/0.29 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((lam @ X0 @ X1 @ (ap @ X0 @ X1 @ X2))) = X2) | (((func @ X0 @ X1 @ X2)) != $true)) ) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | ~spl21_24)),
% 0.21/0.29 inference(forward_subsumption_resolution,[],[f286,f280])).
% 0.21/0.29 thf(f297,plain,(
% 0.21/0.29 (sK19 != sK19) | ($true != ((func @ sK18 @ sK20 @ sK19))) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | spl21_19 | ~spl21_24)),
% 0.21/0.29 inference(superposition,[],[f161,f288])).
% 0.21/0.29 thf(f303,plain,(
% 0.21/0.29 ($true != ((func @ sK18 @ sK20 @ sK19))) | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | spl21_19 | ~spl21_24)),
% 0.21/0.29 inference(trivial_inequality_removal,[],[f297])).
% 0.21/0.29 thf(f304,plain,(
% 0.21/0.29 $false | (~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | spl21_19 | ~spl21_22 | ~spl21_24)),
% 0.21/0.29 inference(forward_subsumption_resolution,[],[f303,f175])).
% 0.21/0.29 thf(f305,plain,(
% 0.21/0.29 ~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | spl21_19 | ~spl21_22 | ~spl21_24),
% 0.21/0.29 inference(avatar_contradiction_clause,[],[f304])).
% 0.21/0.29 cnf(s3, plain, ~spl21_1 | spl21_5, inference(sat_conversion,[],[f97])).
% 0.21/0.29 cnf(s5, plain, spl21_7, inference(sat_conversion,[],[f107])).
% 0.21/0.29 cnf(s7, plain, ~spl21_7 | spl21_9, inference(sat_conversion,[],[f116])).
% 0.21/0.29 cnf(s9, plain, ~spl21_3 | spl21_11, inference(sat_conversion,[],[f125])).
% 0.21/0.29 cnf(s10, plain, ~spl21_1 | spl21_12, inference(sat_conversion,[],[f129])).
% 0.21/0.29 cnf(s12, plain, spl21_14, inference(sat_conversion,[],[f139])).
% 0.21/0.29 cnf(s13, plain, ~spl21_14 | spl21_15, inference(sat_conversion,[],[f143])).
% 0.21/0.29 cnf(s14, plain, ~spl21_3 | spl21_16, inference(sat_conversion,[],[f147])).
% 0.21/0.29 cnf(s16, plain, spl21_1, inference(sat_conversion,[],[f152])).
% 0.21/0.29 cnf(s18, plain, ~spl21_19, inference(sat_conversion,[],[f162])).
% 0.21/0.29 cnf(s21, plain, spl21_22, inference(sat_conversion,[],[f176])).
% 0.21/0.29 cnf(s22, plain, spl21_3, inference(sat_conversion,[],[f177])).
% 0.21/0.29 cnf(s24, plain, ~spl21_14 | spl21_24, inference(sat_conversion,[],[f186])).
% 0.21/0.29 cnf(s27, plain, ~spl21_5 | ~spl21_9 | ~spl21_11 | ~spl21_12 | ~spl21_15 | ~spl21_16 | spl21_19 | ~spl21_22 | ~spl21_24, inference(sat_conversion,[],[f305])).
% 0.21/0.29 cnf(s28, plain, spl21_16, inference(rat,[],[s14,s22])).
% 0.21/0.29 cnf(s29, plain, spl21_24, inference(rat,[],[s24,s12])).
% 0.21/0.29 cnf(s30, plain, spl21_15, inference(rat,[],[s13,s12])).
% 0.21/0.29 cnf(s31, plain, spl21_12, inference(rat,[],[s10,s16])).
% 0.21/0.29 cnf(s32, plain, spl21_11, inference(rat,[],[s9,s22])).
% 0.21/0.29 cnf(s33, plain, spl21_9, inference(rat,[],[s7,s5])).
% 0.21/0.29 cnf(s34, plain, ~spl21_5, inference(rat,[],[s27,s29,s21,s18,s28,s30,s31,s32,s33])).
% 0.21/0.29 cnf(s35, plain, $false, inference(rat,[],[s3,s34,s16])).
% 0.21/0.29 thf(f306,plain,(
% 0.21/0.29 $false),
% 0.21/0.29 inference(avatar_sat_refutation,[],[s35])).
% 0.21/0.29 % SZS output end Proof for theBenchmark
% 0.21/0.29 % (2915100)------------------------------
% 0.21/0.29 % (2915100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (2915100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (2915100)CaDiCaL version: 2.1.3
% 0.21/0.29 % (2915100)Termination reason: Refutation
% 0.21/0.29 % (2915100)Time elapsed: 0.015 s
% 0.21/0.29 % (2915100)Peak memory usage: 13 MB
% 0.21/0.29 % (2915100)Instructions burned: 48 (million)
% 0.21/0.29 % (2915092)Success in time 0.046 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------