%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU861^5 : 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 : n018.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 08:31:49 AM UTC 2026
% Result : Theorem 0.17s 0.32s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU861^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n018.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 14:42:26 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.09/0.22 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
% 0.17/0.32 % (173879)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.17/0.32 % (173895)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3929199377:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.17/0.32 % (173901)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.17/0.32 % (173901)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
% 0.17/0.32 % (173896)lrs+10_16_si=on:nwc=1.5:random_seed=653053487:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.17/0.32 % (173897)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2759187095:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.17/0.32 % (173899)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2688413352:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.17/0.32 % (173900)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2605492143:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.17/0.32 % (173898)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=3910520451: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)
% 0.17/0.32 % (173901)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=860484726:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.17/0.32 % (173897)Instruction limit reached!
% 0.17/0.32 % (173897)------------------------------
% 0.17/0.32 % (173897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.32 % (173897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.32 % (173897)CaDiCaL version: 2.1.3
% 0.17/0.32 % (173897)Termination reason: Instruction limit
% 0.17/0.32 % (173897)Termination phase: Saturation
% 0.17/0.32 % (173897)Time elapsed: 0.003 s
% 0.17/0.32 % (173897)Peak memory usage: 12 MB
% 0.17/0.32 % (173897)Instructions burned: 4 (million)
% 0.17/0.32 % (173896)Instruction limit reached!
% 0.17/0.32 % (173896)------------------------------
% 0.17/0.32 % (173896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.32 % (173896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.32 % (173896)CaDiCaL version: 2.1.3
% 0.17/0.32 % (173896)Termination reason: Instruction limit
% 0.17/0.32 % (173896)Termination phase: Saturation
% 0.17/0.32 % (173896)Time elapsed: 0.011 s
% 0.17/0.32 % (173896)Peak memory usage: 12 MB
% 0.17/0.32 % (173896)Instructions burned: 19 (million)
% 0.17/0.32 % (173899)Instruction limit reached!
% 0.17/0.32 % (173899)------------------------------
% 0.17/0.32 % (173899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.32 % (173899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.32 % (173899)CaDiCaL version: 2.1.3
% 0.17/0.32 % (173899)Termination reason: Instruction limit
% 0.17/0.32 % (173899)Termination phase: Saturation
% 0.17/0.32 % (173899)Time elapsed: 0.015 s
% 0.17/0.32 % (173899)Peak memory usage: 12 MB
% 0.17/0.32 % (173899)Instructions burned: 25 (million)
% 0.17/0.32 % (173895)Instruction limit reached!
% 0.17/0.32 % (173895)------------------------------
% 0.17/0.32 % (173895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.32 % (173895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.32 % (173895)CaDiCaL version: 2.1.3
% 0.17/0.32 % (173895)Termination reason: Instruction limit
% 0.17/0.32 % (173895)Termination phase: Saturation
% 0.17/0.32 % (173895)Time elapsed: 0.027 s
% 0.17/0.32 % (173895)Peak memory usage: 12 MB
% 0.17/0.32 % (173895)Instructions burned: 89 (million)
% 0.17/0.32 % (173919)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=169542435:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.17/0.32 % (173919)Instruction limit reached!
% 0.17/0.32 % (173919)------------------------------
% 0.17/0.32 % (173919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.32 % (173919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.32 % (173919)CaDiCaL version: 2.1.3
% 0.17/0.32 % (173919)Termination reason: Instruction limit
% 0.17/0.32 % (173919)Termination phase: Saturation
% 0.17/0.32 % (173919)Time elapsed: 0.002 s
% 0.17/0.32 % (173919)Peak memory usage: 12 MB
% 0.17/0.32 % (173919)Instructions burned: 2 (million)
% 0.17/0.32 % (173928)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3465737378:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.17/0.32 % (173925)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.17/0.32 % (173923)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2989834739:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.17/0.32 % (173925)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1146018689:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.17/0.32 % (173928)Instruction limit reached!
% 0.17/0.32 % (173928)------------------------------
% 0.17/0.32 % (173928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.32 % (173928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.32 % (173928)CaDiCaL version: 2.1.3
% 0.17/0.32 % (173928)Termination reason: Instruction limit
% 0.17/0.32 % (173928)Termination phase: Saturation
% 0.17/0.32 % (173928)Time elapsed: 0.004 s
% 0.17/0.32 % (173928)Peak memory usage: 12 MB
% 0.17/0.32 % (173928)Instructions burned: 12 (million)
% 0.17/0.32 % (173923)Instruction limit reached!
% 0.17/0.32 % (173923)------------------------------
% 0.17/0.32 % (173923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.32 % (173923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.32 % (173923)CaDiCaL version: 2.1.3
% 0.17/0.32 % (173923)Termination reason: Instruction limit
% 0.17/0.32 % (173923)Termination phase: Saturation
% 0.17/0.32 % (173923)Time elapsed: 0.004 s
% 0.17/0.32 % (173923)Peak memory usage: 12 MB
% 0.17/0.32 % (173923)Instructions burned: 6 (million)
% 0.17/0.32 % (173925)Instruction limit reached!
% 0.17/0.32 % (173925)------------------------------
% 0.17/0.32 % (173925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.32 % (173925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.32 % (173925)CaDiCaL version: 2.1.3
% 0.17/0.32 % (173925)Termination reason: Instruction limit
% 0.17/0.32 % (173925)Termination phase: Saturation
% 0.17/0.32 % (173925)Time elapsed: 0.004 s
% 0.17/0.32 % (173925)Peak memory usage: 12 MB
% 0.17/0.32 % (173925)Instructions burned: 7 (million)
% 0.17/0.32 % (173935)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
% 0.17/0.32 % (173935)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.17/0.32 % (173900)Instruction limit reached!
% 0.17/0.32 % (173900)------------------------------
% 0.17/0.32 % (173900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.32 % (173900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.32 % (173900)CaDiCaL version: 2.1.3
% 0.17/0.32 % (173900)Termination reason: Instruction limit
% 0.17/0.32 % (173900)Termination phase: Saturation
% 0.17/0.32 % (173900)Time elapsed: 0.042 s
% 0.17/0.32 % (173900)Peak memory usage: 12 MB
% 0.17/0.32 % (173900)Instructions burned: 75 (million)
% 0.17/0.32 % (173935)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3015881435:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.17/0.32 % (173944)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=222073277:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.17/0.32 % (173898) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-173879-173898"...
% 0.17/0.32 % (173945)lrs+10_1_si=on:cs=on:random_seed=3017221457:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.17/0.32 % (173946)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.17/0.32 % (173898)...printing done.
% 0.17/0.32 % (173898)Refutation found. Thanks to Tanya!
% 0.17/0.32 % SZS status Theorem for theBenchmark
% 0.17/0.32 % SZS output start Proof for theBenchmark
% 0.17/0.32 thf(type_def_5, type, a: $tType).
% 0.17/0.32 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.17/0.32 thf(func_def_0, type, cB: (a > $o)).
% 0.17/0.32 thf(func_def_1, type, cC: (a > $o)).
% 0.17/0.32 thf(func_def_5, type, sK0: ((a > $o) > $o)).
% 0.17/0.32 thf(func_def_6, type, sK1: (a > (a > $o) > (a > $o) > a)).
% 0.17/0.32 thf(func_def_7, type, sK2: ((a > $o) > a)).
% 0.17/0.32 thf(func_def_8, type, sK3: (((a > $o) > $o) > a)).
% 0.17/0.32 thf(func_def_9, type, sK4: (((a > $o) > $o) > a > $o)).
% 0.17/0.32 thf(func_def_10, type, sK5: (((a > $o) > $o) > a > $o)).
% 0.17/0.32 thf(func_def_11, type, sK6: (((a > $o) > $o) > a > $o)).
% 0.17/0.32 thf(func_def_12, type, vNOT: ($o > $o)).
% 0.17/0.32 thf(func_def_14, type, db0: !>[X0: $tType]:(X0)).
% 0.17/0.32 thf(func_def_15, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.17/0.32 thf(func_def_16, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.17/0.32 thf(func_def_17, type, sK8: a).
% 0.17/0.32 thf(func_def_18, type, sK9: a).
% 0.17/0.32 thf(func_def_19, type, sK10: a).
% 0.17/0.32 thf(func_def_20, type, sK11: a).
% 0.17/0.32 thf(f1,conjecture,(
% 0.17/0.32 (! [X4 : a] : ((cB @ X4) => (cC @ X4)) & ! [X0 : ((a > $o) > $o)] : ((! [X3 : (a > $o),X5 : (a > $o),X4 : a] : (((X0 @ X3) & ! [X6 : a] : ((X5 @ X6) => ((X3 @ X6) | (X6 = X4)))) => (X0 @ X5)) & ! [X1 : (a > $o)] : (~ ? [X2 : a] : (X1 @ X2) => (X0 @ X1))) => (X0 @ cC))) => ! [X0 : ((a > $o) > $o)] : ((! [X5 : (a > $o),X3 : (a > $o),X4 : a] : (((X0 @ X3) & ! [X7 : a] : ((X5 @ X7) => ((X7 = X4) | (X3 @ X7)))) => (X0 @ X5)) & ! [X1 : (a > $o)] : (~ ? [X2 : a] : (X1 @ X2) => (X0 @ X1))) => (X0 @ cB))),
% 0.17/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM531E_pme)).
% 0.17/0.32 thf(f2,negated_conjecture,(
% 0.17/0.32 ~((! [X4 : a] : ((cB @ X4) => (cC @ X4)) & ! [X0 : ((a > $o) > $o)] : ((! [X3 : (a > $o),X5 : (a > $o),X4 : a] : (((X0 @ X3) & ! [X6 : a] : ((X5 @ X6) => ((X3 @ X6) | (X6 = X4)))) => (X0 @ X5)) & ! [X1 : (a > $o)] : (~ ? [X2 : a] : (X1 @ X2) => (X0 @ X1))) => (X0 @ cC))) => ! [X0 : ((a > $o) > $o)] : ((! [X5 : (a > $o),X3 : (a > $o),X4 : a] : (((X0 @ X3) & ! [X7 : a] : ((X5 @ X7) => ((X7 = X4) | (X3 @ X7)))) => (X0 @ X5)) & ! [X1 : (a > $o)] : (~ ? [X2 : a] : (X1 @ X2) => (X0 @ X1))) => (X0 @ cB)))),
% 0.17/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.17/0.32 thf(f3,plain,(
% 0.17/0.32 ~((! [X0 : a] : ((cB @ X0) => (cC @ X0)) & ! [X1 : ((a > $o) > $o)] : ((! [X2 : (a > $o),X3 : (a > $o),X4 : a] : (((X1 @ X2) & ! [X5 : a] : ((X3 @ X5) => ((X2 @ X5) | (X4 = X5)))) => (X1 @ X3)) & ! [X6 : (a > $o)] : (~ ? [X7 : a] : (X6 @ X7) => (X1 @ X6))) => (X1 @ cC))) => ! [X8 : ((a > $o) > $o)] : ((! [X9 : (a > $o),X10 : (a > $o),X11 : a] : (((X8 @ X10) & ! [X12 : a] : ((X9 @ X12) => ((X11 = X12) | (X10 @ X12)))) => (X8 @ X9)) & ! [X13 : (a > $o)] : (~ ? [X14 : a] : (X13 @ X14) => (X8 @ X13))) => (X8 @ cB)))),
% 0.17/0.32 inference(rectify,[],[f2])).
% 0.17/0.32 thf(f4,plain,(
% 0.17/0.32 ~((! [X1 : ((a > $o) > $o)] : ((! [X2 : (a > $o),X4 : a,X3 : (a > $o)] : ((! [X5 : a] : (($true = ((X3 @ X5))) => ((((X2 @ X5)) = $true) | (X4 = X5))) & ($true = ((X1 @ X2)))) => ($true = ((X1 @ X3)))) & ! [X6 : (a > $o)] : (~ ? [X7 : a] : ($true = ((X6 @ X7))) => ($true = ((X1 @ X6))))) => ($true = ((X1 @ cC)))) & ! [X0 : a] : ((((cB @ X0)) = $true) => (((cC @ X0)) = $true))) => ! [X8 : ((a > $o) > $o)] : ((! [X11 : a,X10 : (a > $o),X9 : (a > $o)] : (((((X8 @ X10)) = $true) & ! [X12 : a] : ((((X9 @ X12)) = $true) => ((X11 = X12) | (((X10 @ X12)) = $true)))) => (((X8 @ X9)) = $true)) & ! [X13 : (a > $o)] : (~ ? [X14 : a] : ($true = ((X13 @ X14))) => ($true = ((X8 @ X13))))) => ($true = ((X8 @ cB)))))),
% 0.17/0.32 inference(fool_elimination,[],[f3])).
% 0.17/0.32 thf(f5,plain,(
% 0.17/0.32 ? [X8 : ((a > $o) > $o)] : (($true != ((X8 @ cB))) & (! [X11 : a,X10 : (a > $o),X9 : (a > $o)] : ((((X8 @ X9)) = $true) | ((((X8 @ X10)) != $true) | ? [X12 : a] : (((X11 != X12) & (((X10 @ X12)) != $true)) & (((X9 @ X12)) = $true)))) & ! [X13 : (a > $o)] : (($true = ((X8 @ X13))) | ? [X14 : a] : ($true = ((X13 @ X14)))))) & (! [X1 : ((a > $o) > $o)] : (($true = ((X1 @ cC))) | (? [X2 : (a > $o),X4 : a,X3 : (a > $o)] : (($true != ((X1 @ X3))) & (! [X5 : a] : (((((X2 @ X5)) = $true) | (X4 = X5)) | ($true != ((X3 @ X5)))) & ($true = ((X1 @ X2))))) | ? [X6 : (a > $o)] : (($true != ((X1 @ X6))) & ! [X7 : a] : ($true != ((X6 @ X7)))))) & ! [X0 : a] : ((((cC @ X0)) = $true) | (((cB @ X0)) != $true)))),
% 0.17/0.32 inference(ennf_transformation,[],[f4])).
% 0.17/0.32 thf(f6,plain,(
% 0.17/0.32 ? [X8 : ((a > $o) > $o)] : (($true != ((X8 @ cB))) & ! [X9 : (a > $o),X10 : (a > $o),X11 : a] : ((((X8 @ X9)) = $true) | (((X8 @ X10)) != $true) | ? [X12 : a] : ((X11 != X12) & (((X10 @ X12)) != $true) & (((X9 @ X12)) = $true))) & ! [X13 : (a > $o)] : (($true = ((X8 @ X13))) | ? [X14 : a] : ($true = ((X13 @ X14))))) & ! [X1 : ((a > $o) > $o)] : (? [X4 : a,X3 : (a > $o),X2 : (a > $o)] : (($true != ((X1 @ X3))) & ($true = ((X1 @ X2))) & ! [X5 : a] : ((((X2 @ X5)) = $true) | (X4 = X5) | ($true != ((X3 @ X5))))) | ? [X6 : (a > $o)] : (($true != ((X1 @ X6))) & ! [X7 : a] : ($true != ((X6 @ X7)))) | ($true = ((X1 @ cC)))) & ! [X0 : a] : ((((cC @ X0)) = $true) | (((cB @ X0)) != $true))),
% 0.17/0.32 inference(flattening,[],[f5])).
% 0.17/0.32 thf(f7,plain,(
% 0.17/0.32 ? [X0 : ((a > $o) > $o)] : ((((X0 @ cB)) != $true) & ! [X1 : (a > $o),X2 : (a > $o),X3 : a] : ((((X0 @ X1)) = $true) | (((X0 @ X2)) != $true) | ? [X4 : a] : ((X3 != X4) & ($true != ((X2 @ X4))) & (((X1 @ X4)) = $true))) & ! [X5 : (a > $o)] : ((((X0 @ X5)) = $true) | ? [X6 : a] : (((X5 @ X6)) = $true))) & ! [X7 : ((a > $o) > $o)] : (? [X8 : a,X9 : (a > $o),X10 : (a > $o)] : (($true != ((X7 @ X9))) & ($true = ((X7 @ X10))) & ! [X11 : a] : (($true = ((X10 @ X11))) | (X8 = X11) | (((X9 @ X11)) != $true))) | ? [X12 : (a > $o)] : ((((X7 @ X12)) != $true) & ! [X13 : a] : ($true != ((X12 @ X13)))) | ($true = ((X7 @ cC)))) & ! [X14 : a] : (($true = ((cC @ X14))) | ($true != ((cB @ X14))))),
% 0.17/0.32 inference(rectify,[],[f6])).
% 0.17/0.32 thf(f8,plain,(
% 0.17/0.32 (($true != ((sK0 @ cB))) & ! [X1 : (a > $o),X2 : (a > $o),X3 : a] : (($true = ((sK0 @ X1))) | ($true != ((sK0 @ X2))) | ((((sK1 @ X3 @ X2 @ X1)) != X3) & (((X2 @ (sK1 @ X3 @ X2 @ X1))) != $true) & ($true = ((X1 @ (sK1 @ X3 @ X2 @ X1)))))) & ! [X5 : (a > $o)] : ((((sK0 @ X5)) = $true) | ($true = ((X5 @ (sK2 @ X5)))))) & ! [X7 : ((a > $o) > $o)] : ((($true != ((X7 @ (sK4 @ X7)))) & ($true = ((X7 @ (sK5 @ X7)))) & ! [X11 : a] : (($true = ((sK5 @ X7 @ X11))) | (((sK3 @ X7)) = X11) | ($true != ((sK4 @ X7 @ X11))))) | (($true != ((X7 @ (sK6 @ X7)))) & ! [X13 : a] : ($true != ((sK6 @ X7 @ X13)))) | ($true = ((X7 @ cC)))) & ! [X14 : a] : (($true = ((cC @ X14))) | ($true != ((cB @ X14))))),
% 0.17/0.32 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,vAPP,vAPP,vAPP,vAPP,vAPP,vAPP]),skolemize(X0,sK0),skolemize(X12,sK6 @ X7),skolemize(X12,sK6 @ X7),skolemize(X12,sK6 @ X7),skolemize(X12,sK6 @ X7),skolemize(X12,sK6 @ X7),skolemize(X12,sK6 @ X7)],[f7])).
% 0.17/0.32 thf(f9,plain,(
% 0.17/0.32 ( ! [X14 : a] : (($true = ((cC @ X14))) | ($true != ((cB @ X14)))) )),
% 0.17/0.32 inference(cnf_transformation,[],[f8])).
% 0.17/0.32 thf(f10,plain,(
% 0.17/0.32 ( ! [X11 : a,X7 : ((a > $o) > $o),X13 : a] : (($true = ((sK5 @ X7 @ X11))) | ($true != ((sK4 @ X7 @ X11))) | ($true != ((sK6 @ X7 @ X13))) | ($true = ((X7 @ cC))) | (((sK3 @ X7)) = X11)) )),
% 0.17/0.32 inference(cnf_transformation,[],[f8])).
% 0.17/0.32 thf(f11,plain,(
% 0.17/0.32 ( ! [X11 : a,X7 : ((a > $o) > $o)] : (($true != ((X7 @ (sK6 @ X7)))) | ($true = ((X7 @ cC))) | (((sK3 @ X7)) = X11) | ($true != ((sK4 @ X7 @ X11))) | ($true = ((sK5 @ X7 @ X11)))) )),
% 0.17/0.32 inference(cnf_transformation,[],[f8])).
% 0.17/0.32 thf(f12,plain,(
% 0.17/0.32 ( ! [X7 : ((a > $o) > $o),X13 : a] : (($true = ((X7 @ (sK5 @ X7)))) | ($true != ((sK6 @ X7 @ X13))) | ($true = ((X7 @ cC)))) )),
% 0.17/0.32 inference(cnf_transformation,[],[f8])).
% 0.17/0.32 thf(f13,plain,(
% 0.17/0.32 ( ! [X7 : ((a > $o) > $o)] : (($true = ((X7 @ (sK5 @ X7)))) | ($true = ((X7 @ cC))) | ($true != ((X7 @ (sK6 @ X7))))) )),
% 0.17/0.32 inference(cnf_transformation,[],[f8])).
% 0.17/0.32 thf(f14,plain,(
% 0.17/0.32 ( ! [X7 : ((a > $o) > $o),X13 : a] : (($true != ((X7 @ (sK4 @ X7)))) | ($true != ((sK6 @ X7 @ X13))) | ($true = ((X7 @ cC)))) )),
% 0.17/0.32 inference(cnf_transformation,[],[f8])).
% 0.17/0.32 thf(f15,plain,(
% 0.17/0.32 ( ! [X7 : ((a > $o) > $o)] : (($true != ((X7 @ (sK6 @ X7)))) | ($true = ((X7 @ cC))) | ($true != ((X7 @ (sK4 @ X7))))) )),
% 0.17/0.32 inference(cnf_transformation,[],[f8])).
% 0.17/0.32 thf(f16,plain,(
% 0.17/0.32 ( ! [X5 : (a > $o)] : (($true = ((X5 @ (sK2 @ X5)))) | (((sK0 @ X5)) = $true)) )),
% 0.17/0.32 inference(cnf_transformation,[],[f8])).
% 0.17/0.32 thf(f17,plain,(
% 0.17/0.32 ( ! [X2 : (a > $o),X3 : a,X1 : (a > $o)] : (($true = ((X1 @ (sK1 @ X3 @ X2 @ X1)))) | ($true != ((sK0 @ X2))) | ($true = ((sK0 @ X1)))) )),
% 0.17/0.32 inference(cnf_transformation,[],[f8])).
% 0.17/0.32 thf(f18,plain,(
% 0.17/0.32 ( ! [X2 : (a > $o),X3 : a,X1 : (a > $o)] : ((((X2 @ (sK1 @ X3 @ X2 @ X1))) != $true) | ($true = ((sK0 @ X1))) | ($true != ((sK0 @ X2)))) )),
% 0.17/0.32 inference(cnf_transformation,[],[f8])).
% 0.17/0.32 thf(f19,plain,(
% 0.17/0.32 ( ! [X2 : (a > $o),X3 : a,X1 : (a > $o)] : ((((sK1 @ X3 @ X2 @ X1)) != X3) | ($true = ((sK0 @ X1))) | ($true != ((sK0 @ X2)))) )),
% 0.17/0.32 inference(cnf_transformation,[],[f8])).
% 0.17/0.32 thf(f20,plain,(
% 0.17/0.32 ($true != ((sK0 @ cB)))),
% 0.17/0.32 inference(cnf_transformation,[],[f8])).
% 0.17/0.32 thf(f23,definition,(
% 0.17/0.32 spl7_1 <=> ($true = ((sK0 @ cB)))),
% 0.17/0.32 introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition])).
% 0.17/0.32 thf(f25,plain,(
% 0.17/0.32 ($true != ((sK0 @ cB))) | spl7_1),
% 0.17/0.32 inference(avatar_component_clause,[],[f23])).
% 0.17/0.32 thf(f26,plain,(
% 0.17/0.32 ~spl7_1),
% 0.17/0.32 inference(avatar_split_clause,[],[f20,f23])).
% 0.17/0.32 thf(f115,plain,(
% 0.17/0.32 ( ! [X3 : a,X1 : (a > $o),X4 : (a > $o)] : ((((sK0 @ (^[Y0 : a]: (~ (X4 @ Y0))))) != $true) | ((((^[Y0 : a]: (~ (X4 @ Y0))) @ (sK1 @ X3 @ (^[Y0 : a]: (~ (X4 @ Y0))) @ X1))) != $true) | ($true = ((sK0 @ X1)))) )),
% 0.17/0.32 inference(primitive_instantiation,[],[f18])).
% 0.17/0.32 thf(f126,plain,(
% 0.17/0.32 ( ! [X3 : a,X1 : (a > $o),X4 : (a > $o)] : (($true = ((sK0 @ X1))) | (((sK0 @ (^[Y0 : a]: (~ (X4 @ Y0))))) != $true) | (((~ (X4 @ (sK1 @ X3 @ (^[Y0 : a]: (~ (X4 @ Y0))) @ X1)))) != $true)) )),
% 0.17/0.32 inference(beta-eta_normalization,[],[f115])).
% 0.17/0.32 thf(f127,plain,(
% 0.17/0.32 ( ! [X3 : a,X1 : (a > $o),X4 : (a > $o)] : ((((X4 @ (sK1 @ X3 @ (^[Y0 : a]: (~ (X4 @ Y0))) @ X1))) = $true) | (((sK0 @ (^[Y0 : a]: (~ (X4 @ Y0))))) != $true) | ($true = ((sK0 @ X1)))) )),
% 0.17/0.32 inference(not_proxy_clausification,[],[f126])).
% 0.17/0.32 thf(f138,definition,(
% 0.17/0.32 spl7_8 <=> ! [X0 : a,X1 : (a > $o)] : ((((cB @ (sK1 @ X0 @ cC @ X1))) != $true) | ($true = ((sK0 @ X1))))),
% 0.17/0.32 introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition])).
% 0.17/0.32 thf(f139,plain,(
% 0.17/0.32 ( ! [X0 : a,X1 : (a > $o)] : ((((cB @ (sK1 @ X0 @ cC @ X1))) != $true) | ($true = ((sK0 @ X1)))) ) | ~spl7_8),
% 0.17/0.32 inference(avatar_component_clause,[],[f138])).
% 0.17/0.32 thf(f141,definition,(
% 0.17/0.32 spl7_9 <=> ($true = ((sK0 @ cC)))),
% 0.17/0.32 introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition])).
% 0.17/0.32 thf(f143,plain,(
% 0.17/0.32 ($true != ((sK0 @ cC))) | spl7_9),
% 0.17/0.32 inference(avatar_component_clause,[],[f141])).
% 0.17/0.32 thf(f145,plain,(
% 0.17/0.32 ( ! [X2 : (a > $o),X3 : a,X0 : ((a > $o) > $o),X1 : a] : (($true != ((sK0 @ (sK5 @ X0)))) | ($true != $true) | ($true != ((sK4 @ X0 @ (sK1 @ X1 @ (sK5 @ X0) @ X2)))) | (((sK6 @ X0 @ X3)) != $true) | (((X0 @ cC)) = $true) | ($true = ((sK0 @ X2))) | (((sK1 @ X1 @ (sK5 @ X0) @ X2)) = ((sK3 @ X0)))) )),
% 0.17/0.32 inference(superposition,[],[f18,f10])).
% 0.17/0.32 thf(f146,plain,(
% 0.17/0.32 ( ! [X2 : (a > $o),X3 : a,X0 : ((a > $o) > $o),X1 : a] : (($true != ((sK4 @ X0 @ (sK1 @ X1 @ (sK5 @ X0) @ X2)))) | (((X0 @ cC)) = $true) | ($true = ((sK0 @ X2))) | (((sK1 @ X1 @ (sK5 @ X0) @ X2)) = ((sK3 @ X0))) | ($true != ((sK0 @ (sK5 @ X0)))) | (((sK6 @ X0 @ X3)) != $true)) )),
% 0.17/0.32 inference(trivial_inequality_removal,[],[f145])).
% 0.17/0.32 thf(f150,plain,(
% 0.17/0.32 ( ! [X11 : a,X12 : ((a > $o) > $o)] : ((((sK5 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))) @ X11)) = $true) | ($true = (((^[Y0 : a > $o]: (~ (X12 @ Y0))) @ cC))) | (((sK3 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))))) = X11) | (((sK4 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))) @ X11)) != $true) | ((((^[Y0 : a > $o]: (~ (X12 @ Y0))) @ (sK6 @ (^[Y0 : a > $o]: (~ (X12 @ Y0)))))) != $true)) )),
% 0.17/0.32 inference(primitive_instantiation,[],[f11])).
% 0.17/0.32 thf(f152,plain,(
% 0.17/0.32 ( ! [X11 : a,X12 : ((a > $o) > $o)] : ((((sK3 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))))) = X11) | (((sK5 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))) @ X11)) = $true) | (((sK4 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))) @ X11)) != $true) | (((~ (X12 @ cC))) = $true) | (((~ (X12 @ (sK6 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))))))) != $true)) )),
% 0.17/0.32 inference(beta-eta_normalization,[],[f150])).
% 0.17/0.32 thf(f153,plain,(
% 0.17/0.32 ( ! [X11 : a,X12 : ((a > $o) > $o)] : ((((sK4 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))) @ X11)) != $true) | ($false = ((X12 @ cC))) | (((sK5 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))) @ X11)) = $true) | (((sK3 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))))) = X11) | (((~ (X12 @ (sK6 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))))))) != $true)) )),
% 0.17/0.32 inference(not_proxy_clausification,[],[f152])).
% 0.17/0.32 thf(f154,plain,(
% 0.17/0.32 ( ! [X11 : a,X12 : ((a > $o) > $o)] : (($true = ((X12 @ (sK6 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))))))) | (((sK5 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))) @ X11)) = $true) | ($false = ((X12 @ cC))) | (((sK4 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))) @ X11)) != $true) | (((sK3 @ (^[Y0 : a > $o]: (~ (X12 @ Y0))))) = X11)) )),
% 0.17/0.32 inference(not_proxy_clausification,[],[f153])).
% 0.17/0.32 thf(f227,plain,(
% 0.17/0.32 ( ! [X3 : a,X1 : (a > $o),X5 : (a > $o)] : (($true = ((sK0 @ X1))) | (((sK0 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (~ (X5 @ Y1))) @ Y0))))) != $true) | ($true = (((^[Y0 : a]: (~ (X5 @ Y0))) @ (sK1 @ X3 @ (^[Y0 : a]: (~ ((^[Y1 : a]: (~ (X5 @ Y1))) @ Y0))) @ X1))))) )),
% 0.17/0.32 inference(primitive_instantiation,[],[f127])).
% 0.17/0.32 thf(f234,plain,(
% 0.17/0.32 ( ! [X3 : a,X1 : (a > $o),X5 : (a > $o)] : (($true = ((sK0 @ X1))) | ($true != ((sK0 @ (^[Y0 : a]: (~ (~ (X5 @ Y0))))))) | ($true = ((~ (X5 @ (sK1 @ X3 @ (^[Y0 : a]: (~ (~ (X5 @ Y0)))) @ X1)))))) )),
% 0.17/0.32 inference(beta-eta_normalization,[],[f227])).
% 0.17/0.32 thf(f235,plain,(
% 0.17/0.32 ( ! [X3 : a,X1 : (a > $o),X5 : (a > $o)] : (($true != ((sK0 @ (^[Y0 : a]: (~ (~ (X5 @ Y0))))))) | (((X5 @ (sK1 @ X3 @ (^[Y0 : a]: (~ (~ (X5 @ Y0)))) @ X1))) = $false) | ($true = ((sK0 @ X1)))) )),
% 0.17/0.32 inference(not_proxy_clausification,[],[f234])).
% 0.17/0.32 thf(f236,plain,(
% 0.17/0.32 ( ! [X3 : a,X1 : (a > $o),X5 : (a > $o)] : ((((sK0 @ (^[Y0 : a]: (X5 @ Y0)))) != $true) | ($true = ((sK0 @ X1))) | (((X5 @ (sK1 @ X3 @ (^[Y0 : a]: (~ (~ (X5 @ Y0)))) @ X1))) = $false)) )),
% 0.17/0.32 inference(boolean_simplification,[],[f235])).
% 0.17/0.32 thf(f237,plain,(
% 0.17/0.32 ( ! [X3 : a,X1 : (a > $o),X5 : (a > $o)] : (($true = ((sK0 @ X1))) | (((sK0 @ X5)) != $true) | (((X5 @ (sK1 @ X3 @ (^[Y0 : a]: (~ (~ (X5 @ Y0)))) @ X1))) = $false)) )),
% 0.17/0.32 inference(beta-eta_normalization,[],[f236])).
% 0.17/0.32 thf(f238,plain,(
% 0.17/0.32 ( ! [X3 : a,X1 : (a > $o),X5 : (a > $o)] : (($true = ((sK0 @ X1))) | ($false = ((X5 @ (sK1 @ X3 @ (^[Y0 : a]: (X5 @ Y0)) @ X1)))) | (((sK0 @ X5)) != $true)) )),
% 0.17/0.32 inference(boolean_simplification,[],[f237])).
% 0.17/0.32 thf(f239,plain,(
% 0.17/0.32 ( ! [X3 : a,X1 : (a > $o),X5 : (a > $o)] : (($false = ((X5 @ (sK1 @ X3 @ X5 @ X1)))) | (((sK0 @ X5)) != $true) | ($true = ((sK0 @ X1)))) )),
% 0.17/0.32 inference(beta-eta_normalization,[],[f238])).
% 0.17/0.32 thf(f411,plain,(
% 0.17/0.32 ( ! [X11 : a,X13 : ((a > $o) > $o)] : (($true = (((^[Y0 : a > $o]: (~ (X13 @ Y0))) @ (sK6 @ (^[Y0 : a > $o]: (~ ((^[Y1 : a > $o]: (~ (X13 @ Y1))) @ Y0))))))) | (((sK3 @ (^[Y0 : a > $o]: (~ ((^[Y1 : a > $o]: (~ (X13 @ Y1))) @ Y0))))) = X11) | (((sK5 @ (^[Y0 : a > $o]: (~ ((^[Y1 : a > $o]: (~ (X13 @ Y1))) @ Y0))) @ X11)) = $true) | ($true != ((sK4 @ (^[Y0 : a > $o]: (~ ((^[Y1 : a > $o]: (~ (X13 @ Y1))) @ Y0))) @ X11))) | ((((^[Y0 : a > $o]: (~ (X13 @ Y0))) @ cC)) = $false)) )),
% 0.17/0.32 inference(primitive_instantiation,[],[f154])).
% 0.17/0.32 thf(f413,plain,(
% 0.17/0.32 ( ! [X11 : a,X13 : ((a > $o) > $o)] : (($true != ((sK4 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))) @ X11))) | ($true = ((sK5 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))) @ X11))) | (((~ (X13 @ cC))) = $false) | (((~ (X13 @ (sK6 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))))))) = $true) | (((sK3 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))))) = X11)) )),
% 0.17/0.32 inference(beta-eta_normalization,[],[f411])).
% 0.17/0.32 thf(f414,plain,(
% 0.17/0.32 ( ! [X11 : a,X13 : ((a > $o) > $o)] : (($true = ((X13 @ cC))) | ($true != ((sK4 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))) @ X11))) | (((~ (X13 @ (sK6 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))))))) = $true) | (((sK3 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))))) = X11) | ($true = ((sK5 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))) @ X11)))) )),
% 0.17/0.32 inference(not_proxy_clausification,[],[f413])).
% 0.17/0.32 thf(f415,plain,(
% 0.17/0.32 ( ! [X11 : a,X13 : ((a > $o) > $o)] : (($true = ((sK5 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))) @ X11))) | ($true = ((X13 @ cC))) | ($true != ((sK4 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))) @ X11))) | (((sK3 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))))) = X11) | ($false = ((X13 @ (sK6 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0))))))))) )),
% 0.17/0.32 inference(not_proxy_clausification,[],[f414])).
% 0.17/0.32 thf(f416,plain,(
% 0.17/0.32 ( ! [X11 : a,X13 : ((a > $o) > $o)] : (($true != ((sK4 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))) @ X11))) | (((sK3 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))))) = X11) | ($true = ((X13 @ cC))) | (((sK5 @ (^[Y0 : a > $o]: (X13 @ Y0)) @ X11)) = $true) | ($false = ((X13 @ (sK6 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0))))))))) )),
% 0.17/0.32 inference(boolean_simplification,[],[f415])).
% 0.17/0.32 thf(f417,plain,(
% 0.17/0.32 ( ! [X11 : a,X13 : ((a > $o) > $o)] : (($false = ((X13 @ (sK6 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))))))) | ($true = ((X13 @ cC))) | ($true = ((sK5 @ X13 @ X11))) | (((sK3 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))))) = X11) | ($true != ((sK4 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))) @ X11)))) )),
% 0.17/0.32 inference(beta-eta_normalization,[],[f416])).
% 0.17/0.32 thf(f418,plain,(
% 0.17/0.32 ( ! [X11 : a,X13 : ((a > $o) > $o)] : (($true = ((X13 @ cC))) | (((sK3 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))))) = X11) | ($true != ((sK4 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))) @ X11))) | ($true = ((sK5 @ X13 @ X11))) | (((X13 @ (sK6 @ (^[Y0 : a > $o]: (X13 @ Y0))))) = $false)) )),
% 0.17/0.32 inference(boolean_simplification,[],[f417])).
% 0.17/0.32 thf(f419,plain,(
% 0.17/0.32 ( ! [X11 : a,X13 : ((a > $o) > $o)] : ((((sK3 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))))) = X11) | ($true != ((sK4 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))) @ X11))) | ($true = ((sK5 @ X13 @ X11))) | ($true = ((X13 @ cC))) | ($false = ((X13 @ (sK6 @ X13))))) )),
% 0.17/0.32 inference(beta-eta_normalization,[],[f418])).
% 0.17/0.32 thf(f420,plain,(
% 0.17/0.32 ( ! [X11 : a,X13 : ((a > $o) > $o)] : (($true = ((X13 @ cC))) | ($true = ((sK5 @ X13 @ X11))) | (((sK3 @ (^[Y0 : a > $o]: (X13 @ Y0)))) = X11) | ($true != ((sK4 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))) @ X11))) | ($false = ((X13 @ (sK6 @ X13))))) )),
% 0.17/0.32 inference(boolean_simplification,[],[f419])).
% 0.17/0.32 thf(f421,plain,(
% 0.17/0.32 ( ! [X11 : a,X13 : ((a > $o) > $o)] : (($false = ((X13 @ (sK6 @ X13)))) | ($true = ((sK5 @ X13 @ X11))) | ($true = ((X13 @ cC))) | ($true != ((sK4 @ (^[Y0 : a > $o]: (~ (~ (X13 @ Y0)))) @ X11))) | (((sK3 @ X13)) = X11)) )),
% 0.17/0.32 inference(beta-eta_normalization,[],[f420])).
% 0.17/0.32 thf(f422,plain,(
% 0.17/0.32 ( ! [X11 : a,X13 : ((a > $o) > $o)] : (($false = ((X13 @ (sK6 @ X13)))) | ($true = ((X13 @ cC))) | (((sK4 @ (^[Y0 : a > $o]: (X13 @ Y0)) @ X11)) != $true) | ($true = ((sK5 @ X13 @ X11))) | (((sK3 @ X13)) = X11)) )),
% 0.17/0.32 inference(boolean_simplification,[],[f421])).
% 0.17/0.32 thf(f423,plain,(
% 0.17/0.32 ( ! [X11 : a,X13 : ((a > $o) > $o)] : (($false = ((X13 @ (sK6 @ X13)))) | (((sK3 @ X13)) = X11) | ($true != ((sK4 @ X13 @ X11))) | ($true = ((sK5 @ X13 @ X11))) | ($true = ((X13 @ cC)))) )),
% 0.17/0.32 inference(beta-eta_normalization,[],[f422])).
% 0.17/0.32 thf(f429,plain,(
% 0.17/0.32 ( ! [X2 : a,X0 : ((a > $o) > $o),X1 : a] : ((((sK3 @ X0)) = ((sK1 @ X1 @ (sK5 @ X0) @ (sK4 @ X0)))) | ($true != ((sK0 @ (sK5 @ X0)))) | (((X0 @ cC)) = $true) | ($true = ((sK0 @ (sK4 @ X0)))) | ($true = ((sK0 @ (sK4 @ X0)))) | (((sK6 @ X0 @ X2)) != $true) | ($true != ((sK0 @ (sK5 @ X0)))) | ($true != $true)) )),
% 0.17/0.32 inference(superposition,[],[f146,f17])).
% 0.17/0.32 thf(f431,plain,(
% 0.17/0.32 ( ! [X2 : a,X0 : ((a > $o) > $o),X1 : a] : (($true = ((sK0 @ (sK4 @ X0)))) | ($true != $true) | (((sK6 @ X0 @ X2)) != $true) | (((X0 @ cC)) = $true) | (((sK3 @ X0)) = ((sK1 @ X1 @ (sK5 @ X0) @ (sK4 @ X0)))) | ($true != ((sK0 @ (sK5 @ X0))))) )),
% 0.17/0.32 inference(duplicate_literal_removal,[],[f429])).
% 0.17/0.32 thf(f432,plain,(
% 0.17/0.32 ( ! [X2 : a,X0 : ((a > $o) > $o),X1 : a] : ((((sK3 @ X0)) = ((sK1 @ X1 @ (sK5 @ X0) @ (sK4 @ X0)))) | ($true != ((sK0 @ (sK5 @ X0)))) | (((X0 @ cC)) = $true) | ($true = ((sK0 @ (sK4 @ X0)))) | (((sK6 @ X0 @ X2)) != $true)) )),
% 0.17/0.32 inference(trivial_inequality_removal,[],[f431])).
% 0.17/0.32 thf(f613,plain,(
% 0.17/0.32 ( ! [X0 : a,X1 : (a > $o)] : (($true != ((sK0 @ cC))) | ($false = $true) | (((cB @ (sK1 @ X0 @ cC @ X1))) != $true) | ($true = ((sK0 @ X1)))) )),
% 0.17/0.32 inference(superposition,[],[f239,f9])).
% 0.17/0.32 thf(f632,plain,(
% 0.17/0.32 ( ! [X0 : a,X1 : (a > $o)] : ((((cB @ (sK1 @ X0 @ cC @ X1))) != $true) | ($true != ((sK0 @ cC))) | ($true = ((sK0 @ X1)))) )),
% 0.17/0.32 inference(trivial_inequality_removal,[],[f613])).
% 0.17/0.32 thf(f682,plain,(
% 0.17/0.32 ~spl7_9 | spl7_8),
% 0.17/0.32 inference(avatar_split_clause,[],[f632,f138,f141])).
% 0.17/0.32 thf(f686,plain,(
% 0.17/0.32 ($true != $true) | ($true = ((sK0 @ cB))) | ($true != ((sK0 @ cC))) | ($true = ((sK0 @ cB))) | ~spl7_8),
% 0.17/0.32 inference(superposition,[],[f139,f17])).
% 0.17/0.32 thf(f688,plain,(
% 0.17/0.32 ($true != ((sK0 @ cC))) | ($true != $true) | ($true = ((sK0 @ cB))) | ~spl7_8),
% 0.17/0.32 inference(duplicate_literal_removal,[],[f686])).
% 0.17/0.32 thf(f689,plain,(
% 0.17/0.32 ($true = ((sK0 @ cB))) | ($true != ((sK0 @ cC))) | ~spl7_8),
% 0.17/0.32 inference(trivial_inequality_removal,[],[f688])).
% 0.17/0.32 thf(f691,plain,(
% 0.17/0.32 ($true != ((sK0 @ cC))) | (spl7_1 | ~spl7_8)),
% 0.17/0.32 inference(forward_subsumption_resolution,[],[f689,f25])).
% 0.17/0.32 thf(f696,plain,(
% 0.17/0.32 ~spl7_9 | spl7_1 | ~spl7_8),
% 0.17/0.32 inference(avatar_split_clause,[],[f691,f138,f23,f141])).
% 0.17/0.32 thf(f820,plain,(
% 0.17/0.32 ( ! [X2 : a,X0 : ((a > $o) > $o),X1 : a] : ((((sK3 @ X0)) != X1) | ($true != ((sK0 @ (sK5 @ X0)))) | ($true = ((sK0 @ (sK4 @ X0)))) | (((sK6 @ X0 @ X2)) != $true) | ($true != ((sK0 @ (sK5 @ X0)))) | ($true = ((sK0 @ (sK4 @ X0)))) | (((X0 @ cC)) = $true)) )),
% 0.17/0.32 inference(superposition,[],[f19,f432])).
% 0.17/0.32 thf(f821,plain,(
% 0.17/0.32 ( ! [X2 : a,X0 : ((a > $o) > $o),X1 : a] : (($true = ((sK0 @ (sK4 @ X0)))) | (((X0 @ cC)) = $true) | ($true != ((sK0 @ (sK5 @ X0)))) | (((sK6 @ X0 @ X2)) != $true) | (((sK3 @ X0)) != X1)) )),
% 0.17/0.32 inference(duplicate_literal_removal,[],[f820])).
% 0.17/0.32 thf(f1033,plain,(
% 0.17/0.32 ( ! [X2 : a,X0 : a,X1 : a] : (($true = ((sK0 @ cC))) | ($true != $true) | (((sK3 @ sK0)) != X2) | ($true != ((sK6 @ sK0 @ X0))) | ($true = ((sK0 @ cC))) | ($true != ((sK6 @ sK0 @ X1))) | (((sK0 @ (sK5 @ sK0))) != $true)) )),
% 0.17/0.32 inference(superposition,[],[f14,f821])).
% 0.17/0.32 thf(f1046,plain,(
% 0.17/0.32 ( ! [X2 : a,X0 : a,X1 : a] : ((((sK0 @ (sK5 @ sK0))) != $true) | (((sK3 @ sK0)) != X2) | ($true = ((sK0 @ cC))) | ($true != $true) | ($true != ((sK6 @ sK0 @ X1))) | ($true != ((sK6 @ sK0 @ X0)))) )),
% 0.17/0.32 inference(duplicate_literal_removal,[],[f1033])).
% 0.17/0.32 thf(f1047,plain,(
% 0.17/0.32 ( ! [X2 : a,X0 : a,X1 : a] : (($true = ((sK0 @ cC))) | (((sK0 @ (sK5 @ sK0))) != $true) | ($true != ((sK6 @ sK0 @ X1))) | ($true != ((sK6 @ sK0 @ X0))) | (((sK3 @ sK0)) != X2)) )),
% 0.17/0.32 inference(trivial_inequality_removal,[],[f1046])).
% 0.17/0.32 thf(f1056,plain,(
% 0.17/0.32 ( ! [X2 : a,X0 : a,X1 : a] : (($true = ((sK0 @ cC))) | ($true != ((sK6 @ sK0 @ X1))) | (((sK3 @ sK0)) != X2) | ($true != ((sK6 @ sK0 @ X0)))) )),
% 0.17/0.32 inference(forward_subsumption_resolution,[],[f1047,f12])).
% 0.17/0.32 thf(f1061,plain,(
% 0.17/0.32 ( ! [X2 : a,X0 : a,X1 : a] : (($true != ((sK6 @ sK0 @ X1))) | ($true != ((sK6 @ sK0 @ X0))) | (((sK3 @ sK0)) != X2)) ) | spl7_9),
% 0.17/0.32 inference(forward_subsumption_resolution,[],[f1056,f143])).
% 0.17/0.32 thf(f1067,definition,(
% 0.17/0.32 spl7_65 <=> ! [X0 : a] : ($true != ((sK6 @ sK0 @ X0)))),
% 0.17/0.32 introduced(definition,[new_symbols(definition,[spl7_65])],[avatar_definition])).
% 0.17/0.32 thf(f1068,plain,(
% 0.17/0.32 ( ! [X0 : a] : (($true != ((sK6 @ sK0 @ X0)))) ) | ~spl7_65),
% 0.17/0.32 inference(avatar_component_clause,[],[f1067])).
% 0.17/0.32 thf(f1070,definition,(
% 0.17/0.32 spl7_66 <=> ! [X1 : a] : (((sK3 @ sK0)) != X1)),
% 0.17/0.32 introduced(definition,[new_symbols(definition,[spl7_66])],[avatar_definition])).
% 0.17/0.32 thf(f1071,plain,(
% 0.17/0.32 ( ! [X1 : a] : ((((sK3 @ sK0)) != X1)) ) | ~spl7_66),
% 0.17/0.32 inference(avatar_component_clause,[],[f1070])).
% 0.17/0.32 thf(f1076,plain,(
% 0.17/0.32 spl7_65 | spl7_65 | spl7_66 | spl7_9),
% 0.17/0.32 inference(avatar_split_clause,[],[f1061,f141,f1070,f1067,f1067])).
% 0.17/0.32 thf(f1090,plain,(
% 0.17/0.32 $false | ~spl7_66),
% 0.17/0.32 inference(equality_resolution,[],[f1071])).
% 0.17/0.32 thf(f1091,plain,(
% 0.17/0.32 ~spl7_66),
% 0.17/0.32 inference(avatar_contradiction_clause,[],[f1090])).
% 0.17/0.32 thf(f1126,plain,(
% 0.17/0.32 ($true = ((sK0 @ (sK6 @ sK0)))) | ($true != $true) | ~spl7_65),
% 0.17/0.32 inference(superposition,[],[f1068,f16])).
% 0.17/0.32 thf(f1134,plain,(
% 0.17/0.32 ($true = ((sK0 @ (sK6 @ sK0)))) | ~spl7_65),
% 0.17/0.32 inference(trivial_inequality_removal,[],[f1126])).
% 0.17/0.32 thf(f1141,definition,(
% 0.17/0.32 spl7_71 <=> ($true = ((sK0 @ (sK6 @ sK0))))),
% 0.17/0.32 introduced(definition,[new_symbols(definition,[spl7_71])],[avatar_definition])).
% 0.17/0.32 thf(f1143,plain,(
% 0.17/0.32 ($true = ((sK0 @ (sK6 @ sK0)))) | ~spl7_71),
% 0.17/0.32 inference(avatar_component_clause,[],[f1141])).
% 0.17/0.32 thf(f1145,plain,(
% 0.17/0.32 spl7_71 | ~spl7_65),
% 0.17/0.32 inference(avatar_split_clause,[],[f1134,f1067,f1141])).
% 0.17/0.32 thf(f1146,plain,(
% 0.17/0.32 ( ! [X0 : a] : ((((sK3 @ sK0)) = X0) | ($false = $true) | ($true != ((sK4 @ sK0 @ X0))) | (((sK5 @ sK0 @ X0)) = $true) | ($true = ((sK0 @ cC)))) ) | ~spl7_71),
% 0.17/0.32 inference(superposition,[],[f1143,f423])).
% 0.17/0.32 thf(f1149,plain,(
% 0.17/0.32 ($true = ((sK0 @ cC))) | ($true != ((sK0 @ (sK4 @ sK0)))) | ($true != $true) | ~spl7_71),
% 0.17/0.32 inference(superposition,[],[f15,f1143])).
% 0.17/0.32 thf(f1150,plain,(
% 0.17/0.32 ( ! [X0 : a] : (($true != ((sK4 @ sK0 @ X0))) | (((sK5 @ sK0 @ X0)) = $true) | (((sK3 @ sK0)) = X0) | ($true = ((sK0 @ cC)))) ) | ~spl7_71),
% 0.17/0.32 inference(trivial_inequality_removal,[],[f1146])).
% 0.17/0.32 thf(f1152,plain,(
% 0.17/0.32 ($true = ((sK0 @ cC))) | ($true != ((sK0 @ (sK4 @ sK0)))) | ~spl7_71),
% 0.17/0.32 inference(trivial_inequality_removal,[],[f1149])).
% 0.17/0.32 thf(f1154,plain,(
% 0.17/0.32 ( ! [X0 : a] : ((((sK5 @ sK0 @ X0)) = $true) | ($true != ((sK4 @ sK0 @ X0))) | (((sK3 @ sK0)) = X0)) ) | (spl7_9 | ~spl7_71)),
% 0.17/0.32 inference(forward_subsumption_resolution,[],[f1150,f143])).
% 0.17/0.32 thf(f1156,plain,(
% 0.17/0.32 ($true != ((sK0 @ (sK4 @ sK0)))) | (spl7_9 | ~spl7_71)),
% 0.17/0.32 inference(forward_subsumption_resolution,[],[f1152,f143])).
% 0.17/0.32 thf(f1159,definition,(
% 0.17/0.32 spl7_72 <=> ($true = ((sK0 @ (sK4 @ sK0))))),
% 0.17/0.32 introduced(definition,[new_symbols(definition,[spl7_72])],[avatar_definition])).
% 0.17/0.32 thf(f1161,plain,(
% 0.17/0.32 ($true != ((sK0 @ (sK4 @ sK0)))) | spl7_72),
% 0.17/0.32 inference(avatar_component_clause,[],[f1159])).
% 0.17/0.32 thf(f1162,plain,(
% 0.17/0.32 ~spl7_72 | spl7_9 | ~spl7_71),
% 0.17/0.32 inference(avatar_split_clause,[],[f1156,f1141,f141,f1159])).
% 0.17/0.32 thf(f1172,plain,(
% 0.17/0.32 ( ! [X0 : a,X1 : (a > $o)] : (($true != ((sK4 @ sK0 @ (sK1 @ X0 @ (sK5 @ sK0) @ X1)))) | ($true != $true) | (((sK1 @ X0 @ (sK5 @ sK0) @ X1)) = ((sK3 @ sK0))) | ($true = ((sK0 @ X1))) | (((sK0 @ (sK5 @ sK0))) != $true)) ) | (spl7_9 | ~spl7_71)),
% 0.17/0.32 inference(superposition,[],[f18,f1154])).
% 0.17/0.32 thf(f1180,plain,(
% 0.17/0.32 ( ! [X0 : a,X1 : (a > $o)] : ((((sK0 @ (sK5 @ sK0))) != $true) | ($true = ((sK0 @ X1))) | ($true != ((sK4 @ sK0 @ (sK1 @ X0 @ (sK5 @ sK0) @ X1)))) | (((sK1 @ X0 @ (sK5 @ sK0) @ X1)) = ((sK3 @ sK0)))) ) | (spl7_9 | ~spl7_71)),
% 0.17/0.32 inference(trivial_inequality_removal,[],[f1172])).
% 0.17/0.32 thf(f1200,definition,(
% 0.17/0.32 spl7_77 <=> (((sK0 @ (sK5 @ sK0))) = $true)),
% 0.17/0.32 introduced(definition,[new_symbols(definition,[spl7_77])],[avatar_definition])).
% 0.17/0.32 thf(f1201,plain,(
% 0.17/0.32 (((sK0 @ (sK5 @ sK0))) = $true) | ~spl7_77),
% 0.17/0.32 inference(avatar_component_clause,[],[f1200])).
% 0.17/0.32 thf(f1202,plain,(
% 0.17/0.32 (((sK0 @ (sK5 @ sK0))) != $true) | spl7_77),
% 0.17/0.32 inference(avatar_component_clause,[],[f1200])).
% 0.17/0.32 thf(f1204,definition,(
% 0.17/0.32 spl7_78 <=> ! [X0 : a,X1 : (a > $o)] : (($true != ((sK4 @ sK0 @ (sK1 @ X0 @ (sK5 @ sK0) @ X1)))) | (((sK1 @ X0 @ (sK5 @ sK0) @ X1)) = ((sK3 @ sK0))) | ($true = ((sK0 @ X1))))),
% 0.17/0.32 introduced(definition,[new_symbols(definition,[spl7_78])],[avatar_definition])).
% 0.17/0.32 thf(f1205,plain,(
% 0.17/0.32 ( ! [X0 : a,X1 : (a > $o)] : (($true != ((sK4 @ sK0 @ (sK1 @ X0 @ (sK5 @ sK0) @ X1)))) | ($true = ((sK0 @ X1))) | (((sK1 @ X0 @ (sK5 @ sK0) @ X1)) = ((sK3 @ sK0)))) ) | ~spl7_78),
% 0.17/0.32 inference(avatar_component_clause,[],[f1204])).
% 0.17/0.32 thf(f1209,plain,(
% 0.17/0.32 spl7_78 | ~spl7_77 | spl7_9 | ~spl7_71),
% 0.17/0.32 inference(avatar_split_clause,[],[f1180,f1141,f141,f1200,f1204])).
% 0.17/0.32 thf(f1308,plain,(
% 0.17/0.32 ($true = ((sK0 @ cC))) | ($true != ((sK0 @ (sK6 @ sK0)))) | ($true != $true) | spl7_77),
% 0.17/0.32 inference(superposition,[],[f1202,f13])).
% 0.17/0.32 thf(f1310,plain,(
% 0.17/0.32 ($true != ((sK0 @ (sK6 @ sK0)))) | ($true = ((sK0 @ cC))) | spl7_77),
% 0.17/0.32 inference(trivial_inequality_removal,[],[f1308])).
% 0.17/0.32 thf(f1313,plain,(
% 0.17/0.32 ($true = ((sK0 @ cC))) | (~spl7_71 | spl7_77)),
% 0.17/0.32 inference(forward_subsumption_resolution,[],[f1310,f1143])).
% 0.17/0.32 thf(f1315,plain,(
% 0.17/0.32 $false | (spl7_9 | ~spl7_71 | spl7_77)),
% 0.17/0.32 inference(forward_subsumption_resolution,[],[f1313,f143])).
% 0.17/0.32 thf(f1316,plain,(
% 0.17/0.32 spl7_9 | ~spl7_71 | spl7_77),
% 0.17/0.32 inference(avatar_contradiction_clause,[],[f1315])).
% 0.17/0.32 thf(f1318,plain,(
% 0.17/0.32 ( ! [X0 : a] : (($true = ((sK0 @ (sK4 @ sK0)))) | ($true != $true) | (((sK1 @ X0 @ (sK5 @ sK0) @ (sK4 @ sK0))) = ((sK3 @ sK0))) | ($true = ((sK0 @ (sK4 @ sK0)))) | (((sK0 @ (sK5 @ sK0))) != $true)) ) | ~spl7_78),
% 0.17/0.32 inference(superposition,[],[f1205,f17])).
% 0.17/0.32 thf(f1320,plain,(
% 0.17/0.32 ( ! [X0 : a] : ((((sK0 @ (sK5 @ sK0))) != $true) | (((sK1 @ X0 @ (sK5 @ sK0) @ (sK4 @ sK0))) = ((sK3 @ sK0))) | ($true != $true) | ($true = ((sK0 @ (sK4 @ sK0))))) ) | ~spl7_78),
% 0.17/0.32 inference(duplicate_literal_removal,[],[f1318])).
% 0.17/0.32 thf(f1321,plain,(
% 0.17/0.32 ( ! [X0 : a] : ((((sK0 @ (sK5 @ sK0))) != $true) | (((sK1 @ X0 @ (sK5 @ sK0) @ (sK4 @ sK0))) = ((sK3 @ sK0))) | ($true = ((sK0 @ (sK4 @ sK0))))) ) | ~spl7_78),
% 0.17/0.32 inference(trivial_inequality_removal,[],[f1320])).
% 0.17/0.32 thf(f1323,plain,(
% 0.17/0.32 ( ! [X0 : a] : (($true = ((sK0 @ (sK4 @ sK0)))) | (((sK1 @ X0 @ (sK5 @ sK0) @ (sK4 @ sK0))) = ((sK3 @ sK0)))) ) | (~spl7_77 | ~spl7_78)),
% 0.17/0.32 inference(forward_subsumption_resolution,[],[f1321,f1201])).
% 0.17/0.32 thf(f1324,plain,(
% 0.17/0.32 ( ! [X0 : a] : ((((sK1 @ X0 @ (sK5 @ sK0) @ (sK4 @ sK0))) = ((sK3 @ sK0)))) ) | (spl7_72 | ~spl7_77 | ~spl7_78)),
% 0.17/0.32 inference(forward_subsumption_resolution,[],[f1323,f1161])).
% 0.17/0.32 thf(f1328,plain,(
% 0.17/0.32 ( ! [X0 : a] : ((((sK0 @ (sK5 @ sK0))) != $true) | ($true = ((sK0 @ (sK4 @ sK0)))) | (((sK3 @ sK0)) != X0)) ) | (spl7_72 | ~spl7_77 | ~spl7_78)),
% 0.17/0.32 inference(superposition,[],[f19,f1324])).
% 0.17/0.32 thf(f1332,plain,(
% 0.17/0.32 ( ! [X0 : a] : (($true = ((sK0 @ (sK4 @ sK0)))) | (((sK3 @ sK0)) != X0)) ) | (spl7_72 | ~spl7_77 | ~spl7_78)),
% 0.17/0.32 inference(forward_subsumption_resolution,[],[f1328,f1201])).
% 0.17/0.32 thf(f1336,plain,(
% 0.17/0.32 ( ! [X0 : a] : ((((sK3 @ sK0)) != X0)) ) | (spl7_72 | ~spl7_77 | ~spl7_78)),
% 0.17/0.32 inference(forward_subsumption_resolution,[],[f1332,f1161])).
% 0.17/0.32 thf(f1352,plain,(
% 0.17/0.32 spl7_66 | spl7_72 | ~spl7_77 | ~spl7_78),
% 0.17/0.32 inference(avatar_split_clause,[],[f1336,f1204,f1200,f1159,f1070])).
% 0.17/0.32 cnf(s1, plain, ~spl7_1, inference(sat_conversion,[],[f26])).
% 0.17/0.32 cnf(s49, plain, spl7_8 | ~spl7_9, inference(sat_conversion,[],[f682])).
% 0.17/0.32 cnf(s55, plain, spl7_1 | ~spl7_8 | ~spl7_9, inference(sat_conversion,[],[f696])).
% 0.17/0.32 cnf(s105, plain, spl7_65 | spl7_9 | spl7_65 | spl7_66, inference(sat_conversion,[],[f1076])).
% 0.17/0.32 cnf(s106, plain, spl7_9 | spl7_65 | spl7_66, inference(rat,[],[s105])).
% 0.17/0.32 cnf(s107, plain, ~spl7_66, inference(sat_conversion,[],[f1091])).
% 0.17/0.32 cnf(s113, plain, ~spl7_65 | spl7_71, inference(sat_conversion,[],[f1145])).
% 0.17/0.32 cnf(s114, plain, spl7_9 | ~spl7_71 | ~spl7_72, inference(sat_conversion,[],[f1162])).
% 0.17/0.32 cnf(s120, plain, spl7_9 | ~spl7_71 | ~spl7_77 | spl7_78, inference(sat_conversion,[],[f1209])).
% 0.17/0.32 cnf(s130, plain, spl7_9 | ~spl7_71 | spl7_77, inference(sat_conversion,[],[f1316])).
% 0.17/0.32 cnf(s135, plain, spl7_66 | spl7_72 | ~spl7_77 | ~spl7_78, inference(sat_conversion,[],[f1352])).
% 0.17/0.32 cnf(s136, plain, spl7_9 | spl7_65, inference(rat,[],[s106,s107])).
% 0.17/0.32 cnf(s144, plain, ~spl7_9, inference(rat,[],[s55,s49,s1])).
% 0.17/0.32 cnf(s145, plain, spl7_65, inference(rat,[],[s136,s144])).
% 0.17/0.32 cnf(s146, plain, spl7_71, inference(rat,[],[s113,s145])).
% 0.17/0.32 cnf(s148, plain, spl7_77, inference(rat,[],[s130,s144,s146])).
% 0.17/0.32 cnf(s149, plain, spl7_78, inference(rat,[],[s120,s144,s148,s146])).
% 0.17/0.32 cnf(s150, plain, ~spl7_72, inference(rat,[],[s114,s144,s146])).
% 0.17/0.32 cnf(s151, plain, $false, inference(rat,[],[s135,s149,s107,s148,s150])).
% 0.17/0.32 thf(f1353,plain,(
% 0.17/0.32 $false),
% 0.17/0.32 inference(avatar_sat_refutation,[],[s151])).
% 0.17/0.32 % SZS output end Proof for theBenchmark
% 0.17/0.32 % (173898)------------------------------
% 0.17/0.32 % (173898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.32 % (173898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.32 % (173898)CaDiCaL version: 2.1.3
% 0.17/0.32 % (173898)Termination reason: Refutation
% 0.17/0.32 % (173898)Time elapsed: 0.055 s
% 0.17/0.32 % (173898)Peak memory usage: 13 MB
% 0.17/0.32 % (173898)Instructions burned: 90 (million)
% 0.17/0.32 % (173879)Success in time 0.098 s
% 0.17/0.32 % Vampire exiting
%------------------------------------------------------------------------------