%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP191^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:45 AM UTC 2026
% Result : ContradictoryAxioms 0.29s 0.44s
% Output : Refutation 0.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP191^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:12:27 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.21/0.29 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
% 0.29/0.44 % (1115689)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.29/0.44 % (1115697)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=3498564818: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)
% 0.29/0.44 % (1115696)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=50524080:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.29/0.44 % (1115694)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1660070712:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.29/0.44 % (1115695)lrs+10_16_si=on:nwc=1.5:random_seed=957874938:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.29/0.44 % (1115698)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3967288394:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.29/0.44 % (1115696)Instruction limit reached!
% 0.29/0.44 % (1115696)------------------------------
% 0.29/0.44 % (1115696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.44 % (1115696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.44 % (1115696)CaDiCaL version: 2.1.3
% 0.29/0.44 % (1115696)Termination reason: Instruction limit
% 0.29/0.44 % (1115696)Termination phase: shuffling
% 0.29/0.44 % (1115696)Time elapsed: 0.003 s
% 0.29/0.44 % (1115696)Peak memory usage: 10 MB
% 0.29/0.44 % (1115696)Instructions burned: 5 (million)
% 0.29/0.44 % (1115700)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.29/0.44 % (1115700)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
% 0.29/0.44 % (1115695)Instruction limit reached!
% 0.29/0.44 % (1115695)------------------------------
% 0.29/0.44 % (1115695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.44 % (1115695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.44 % (1115695)CaDiCaL version: 2.1.3
% 0.29/0.44 % (1115695)Termination reason: Instruction limit
% 0.29/0.44 % (1115695)Termination phase: shuffling
% 0.29/0.44 % (1115695)Time elapsed: 0.009 s
% 0.29/0.44 % (1115695)Peak memory usage: 10 MB
% 0.29/0.44 % (1115695)Instructions burned: 19 (million)
% 0.29/0.44 % (1115700)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=2038726762:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.29/0.44 % (1115698)Instruction limit reached!
% 0.29/0.44 % (1115698)------------------------------
% 0.29/0.44 % (1115698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.44 % (1115698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.44 % (1115698)CaDiCaL version: 2.1.3
% 0.29/0.44 % (1115698)Termination reason: Instruction limit
% 0.29/0.44 % (1115698)Termination phase: shuffling
% 0.29/0.44 % (1115698)Time elapsed: 0.012 s
% 0.29/0.44 % (1115698)Peak memory usage: 10 MB
% 0.29/0.44 % (1115698)Instructions burned: 26 (million)
% 0.29/0.44 % (1115699)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3923713441:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.29/0.44 % (1115706)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=551009860:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.29/0.44 % (1115706)Instruction limit reached!
% 0.29/0.44 % (1115706)------------------------------
% 0.29/0.44 % (1115706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.44 % (1115706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.44 % (1115706)CaDiCaL version: 2.1.3
% 0.29/0.44 % (1115706)Termination reason: Instruction limit
% 0.29/0.44 % (1115706)Termination phase: shuffling
% 0.29/0.44 % (1115706)Time elapsed: 0.002 s
% 0.29/0.44 % (1115706)Peak memory usage: 10 MB
% 0.29/0.44 % (1115706)Instructions burned: 3 (million)
% 0.29/0.44 % (1115709)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.29/0.44 % (1115708)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3768617144:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.29/0.44 % (1115709)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1283304242:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.29/0.44 % (1115708)Instruction limit reached!
% 0.29/0.44 % (1115708)------------------------------
% 0.29/0.44 % (1115708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.44 % (1115708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.44 % (1115708)CaDiCaL version: 2.1.3
% 0.29/0.44 % (1115708)Termination reason: Instruction limit
% 0.29/0.44 % (1115708)Termination phase: shuffling
% 0.29/0.44 % (1115708)Time elapsed: 0.003 s
% 0.29/0.44 % (1115708)Peak memory usage: 10 MB
% 0.29/0.44 % (1115708)Instructions burned: 5 (million)
% 0.29/0.44 % (1115709)Instruction limit reached!
% 0.29/0.44 % (1115709)------------------------------
% 0.29/0.44 % (1115709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.44 % (1115709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.44 % (1115709)CaDiCaL version: 2.1.3
% 0.29/0.44 % (1115709)Termination reason: Instruction limit
% 0.29/0.44 % (1115709)Termination phase: shuffling
% 0.29/0.44 % (1115709)Time elapsed: 0.004 s
% 0.29/0.44 % (1115709)Peak memory usage: 10 MB
% 0.29/0.44 % (1115709)Instructions burned: 8 (million)
% 0.29/0.44 % (1115694)Instruction limit reached!
% 0.29/0.44 % (1115694)------------------------------
% 0.29/0.44 % (1115694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.44 % (1115694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.44 % (1115694)CaDiCaL version: 2.1.3
% 0.29/0.44 % (1115694)Termination reason: Instruction limit
% 0.29/0.44 % (1115694)Termination phase: Property scanning
% 0.29/0.44 % (1115694)Time elapsed: 0.043 s
% 0.29/0.44 % (1115694)Peak memory usage: 12 MB
% 0.29/0.44 % (1115694)Instructions burned: 89 (million)
% 0.29/0.44 % (1115712)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3234124062:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.29/0.44 % (1115715)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
% 0.29/0.44 % (1115715)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.29/0.44 % (1115712)Instruction limit reached!
% 0.29/0.44 % (1115712)------------------------------
% 0.29/0.44 % (1115712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.44 % (1115712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.44 % (1115712)CaDiCaL version: 2.1.3
% 0.29/0.44 % (1115712)Termination reason: Instruction limit
% 0.29/0.44 % (1115712)Termination phase: shuffling
% 0.29/0.44 % (1115712)Time elapsed: 0.006 s
% 0.29/0.44 % (1115712)Peak memory usage: 10 MB
% 0.29/0.44 % (1115712)Instructions burned: 13 (million)
% 0.29/0.44 % (1115715)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3977381942:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.29/0.44 % (1115716)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=2392291810:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.29/0.44 % (1115718)lrs+10_1_si=on:cs=on:random_seed=3193363161:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.29/0.44 % (1115719)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.29/0.44 % (1115715)Instruction limit reached!
% 0.29/0.44 % (1115715)------------------------------
% 0.29/0.44 % (1115715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.44 % (1115715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.44 % (1115715)CaDiCaL version: 2.1.3
% 0.29/0.44 % (1115715)Termination reason: Instruction limit
% 0.29/0.44 % (1115715)Termination phase: shuffling
% 0.29/0.44 % (1115715)Time elapsed: 0.014 s
% 0.29/0.44 % (1115715)Peak memory usage: 10 MB
% 0.29/0.44 % (1115715)Instructions burned: 29 (million)
% 0.29/0.44 % (1115718)Instruction limit reached!
% 0.29/0.44 % (1115718)------------------------------
% 0.29/0.44 % (1115718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.44 % (1115718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.44 % (1115718)CaDiCaL version: 2.1.3
% 0.29/0.44 % (1115718)Termination reason: Instruction limit
% 0.29/0.44 % (1115718)Termination phase: shuffling
% 0.29/0.44 % (1115718)Time elapsed: 0.005 s
% 0.29/0.44 % (1115718)Peak memory usage: 10 MB
% 0.29/0.44 % (1115718)Instructions burned: 10 (million)
% 0.29/0.44 % (1115719)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=4211423357:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.29/0.44 % (1115719)Instruction limit reached!
% 0.29/0.44 % (1115719)------------------------------
% 0.29/0.44 % (1115719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.44 % (1115719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.44 % (1115719)CaDiCaL version: 2.1.3
% 0.29/0.44 % (1115719)Termination reason: Instruction limit
% 0.29/0.44 % (1115719)Termination phase: shuffling
% 0.29/0.44 % (1115719)Time elapsed: 0.002 s
% 0.29/0.44 % (1115719)Peak memory usage: 10 MB
% 0.29/0.44 % (1115719)Instructions burned: 3 (million)
% 0.29/0.44 % (1115697) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1115689-1115697"...
% 0.29/0.44 % (1115697)...printing done.
% 0.29/0.44 % (1115697)Refutation found. Thanks to Tanya!
% 0.29/0.44 % SZS status ContradictoryAxioms for theBenchmark
% 0.29/0.44 % SZS output start Proof for theBenchmark
% 0.29/0.44 thf(type_def_5, type, late_residual_Rep: $tType).
% 0.29/0.44 thf(type_def_6, type, late_subject_Rep: $tType).
% 0.29/0.44 thf(type_def_7, type, late_freeRes_Rep: $tType).
% 0.29/0.44 thf(type_def_8, type, late_residual: $tType).
% 0.29/0.44 thf(type_def_9, type, late_subject: $tType).
% 0.29/0.44 thf(type_def_10, type, late_freeRes: $tType).
% 0.29/0.44 thf(type_def_11, type, product_unit: $tType).
% 0.29/0.44 thf(type_def_12, type, product_prod: ($tType * $tType) > $tType).
% 0.29/0.44 thf(type_def_13, type, noption: $tType > $tType).
% 0.29/0.44 thf(type_def_14, type, pi_Rep: $tType).
% 0.29/0.44 thf(type_def_15, type, name: $tType).
% 0.29/0.44 thf(type_def_16, type, list: $tType > $tType).
% 0.29/0.44 thf(type_def_17, type, pi: $tType).
% 0.29/0.44 thf(type_def_18, type, set: $tType > $tType).
% 0.29/0.44 thf(type_def_19, type, sTfun: ($tType * $tType) > $tType).
% 0.29/0.44 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.29/0.44 thf(func_def_1, type, fs_name: !>[X0: $tType]:($o)).
% 0.29/0.44 thf(func_def_2, type, pt_name: !>[X0: $tType]:($o)).
% 0.29/0.44 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 0.29/0.44 thf(func_def_4, type, cp_name_name: !>[X0: $tType]:($o)).
% 0.29/0.44 thf(func_def_5, type, linorder: !>[X0: $tType]:($o)).
% 0.29/0.44 thf(func_def_6, type, input: (name > name > pi > pi)).
% 0.29/0.44 thf(func_def_7, type, par: (pi > pi > pi)).
% 0.29/0.44 thf(func_def_8, type, res: (name > pi > pi)).
% 0.29/0.44 thf(func_def_9, type, swap_name: (product_prod @ name @ name > name > name)).
% 0.29/0.44 thf(func_def_10, type, subs: (pi > name > name > pi)).
% 0.29/0.44 thf(func_def_11, type, default_default: !>[X0: $tType]:(X0)).
% 0.29/0.44 thf(func_def_12, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.29/0.44 thf(func_def_13, type, late_OutputR: (name > name > late_freeRes)).
% 0.29/0.44 thf(func_def_14, type, late_TauR: late_freeRes).
% 0.29/0.44 thf(func_def_15, type, late_BoundR: (late_subject > name > pi > late_residual)).
% 0.29/0.44 thf(func_def_16, type, late_FreeR: (late_freeRes > pi > late_residual)).
% 0.29/0.44 thf(func_def_17, type, late_r347633188eR_Rep: (late_freeRes > pi > late_residual_Rep)).
% 0.29/0.44 thf(func_def_18, type, late_BoundOutputS: (name > late_subject)).
% 0.29/0.44 thf(func_def_19, type, late_InputS: (name > late_subject)).
% 0.29/0.44 thf(func_def_20, type, late_transitions: (pi > late_residual > $o)).
% 0.29/0.44 thf(func_def_21, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_22, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.29/0.44 thf(func_def_23, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.29/0.44 thf(func_def_24, type, abs_fun: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > noption @ X1))).
% 0.29/0.44 thf(func_def_25, type, fresh: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 0.29/0.44 thf(func_def_26, type, perm: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X0 > X1 > X1))).
% 0.29/0.44 thf(func_def_27, type, supports: !>[X0: $tType, X1: $tType]:((set @ X0 > X1 > $o))).
% 0.29/0.44 thf(func_def_28, type, swap: !>[X0: $tType]:((product_prod @ X0 @ X0 > X0 > X0))).
% 0.29/0.44 thf(func_def_29, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.29/0.44 thf(func_def_30, type, product_Unity: product_unit).
% 0.29/0.44 thf(func_def_31, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.29/0.44 thf(func_def_32, type, product_rec_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 0.29/0.44 thf(func_def_33, type, eqvt: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 0.29/0.44 thf(func_def_34, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.29/0.44 thf(func_def_35, type, strong2129052853vative: (pi > pi > late_subject > name > set @ product_prod @ pi @ pi > $o)).
% 0.29/0.44 thf(func_def_36, type, strong743114133lation: (pi > set @ product_prod @ pi @ pi > pi > $o)).
% 0.29/0.44 thf(func_def_37, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.29/0.44 thf(func_def_38, type, p: pi).
% 0.29/0.44 thf(func_def_39, type, pq: pi).
% 0.29/0.44 thf(func_def_40, type, p2: pi).
% 0.29/0.44 thf(func_def_41, type, q: pi).
% 0.29/0.44 thf(func_def_42, type, q2: pi).
% 0.29/0.44 thf(func_def_43, type, rel: set @ product_prod @ pi @ pi).
% 0.29/0.44 thf(func_def_44, type, aa: late_subject).
% 0.29/0.44 thf(func_def_45, type, ab: name).
% 0.29/0.44 thf(func_def_46, type, b: name).
% 0.29/0.44 thf(func_def_47, type, c: name).
% 0.29/0.44 thf(func_def_48, type, x: name).
% 0.29/0.44 thf(func_def_49, type, xPQ: pi).
% 0.29/0.44 thf(func_def_50, type, y: name).
% 0.29/0.44 thf(func_def_51, type, ya: name).
% 0.29/0.44 thf(func_def_55, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.29/0.44 thf(func_def_56, type, vIMP: ($o > $o > $o)).
% 0.29/0.44 thf(func_def_57, type, vAND: ($o > $o > $o)).
% 0.29/0.44 thf(func_def_58, type, vNOT: ($o > $o)).
% 0.29/0.44 thf(func_def_59, type, db1: !>[X0: $tType]:(X0)).
% 0.29/0.44 thf(func_def_60, type, db3: !>[X0: $tType]:(X0)).
% 0.29/0.44 thf(func_def_61, type, db0: !>[X0: $tType]:(X0)).
% 0.29/0.44 thf(func_def_62, type, db2: !>[X0: $tType]:(X0)).
% 0.29/0.44 thf(func_def_63, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.29/0.44 thf(func_def_64, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.29/0.44 thf(func_def_65, type, vOR: ($o > $o > $o)).
% 0.29/0.44 thf(func_def_66, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.29/0.44 thf(func_def_67, type, db4: !>[X0: $tType]:(X0)).
% 0.29/0.44 thf(func_def_68, type, db5: !>[X0: $tType]:(X0)).
% 0.29/0.44 thf(func_def_69, type, db6: !>[X0: $tType]:(X0)).
% 0.29/0.44 thf(func_def_70, type, sP0: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > name > $o))).
% 0.29/0.44 thf(func_def_71, type, sP1: (late_subject > name > pi > name > pi > $o)).
% 0.29/0.44 thf(func_def_72, type, sP2: (name > pi > late_residual > $o)).
% 0.29/0.44 thf(func_def_73, type, sP3: (pi > pi > late_subject > name > pi > $o)).
% 0.29/0.44 thf(func_def_74, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X0 > X3))).
% 0.29/0.44 thf(func_def_75, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X0 > X4))).
% 0.29/0.44 thf(func_def_76, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X0 > X0))).
% 0.29/0.44 thf(func_def_77, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X0 > X1))).
% 0.29/0.44 thf(func_def_78, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X0 > X2))).
% 0.29/0.44 thf(func_def_79, type, sK9: (pi > late_subject > name > pi > set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_80, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X2))).
% 0.29/0.44 thf(func_def_81, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X3))).
% 0.29/0.44 thf(func_def_82, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X1))).
% 0.29/0.44 thf(func_def_83, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X0))).
% 0.29/0.44 thf(func_def_84, type, sK14: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > name > late_subject))).
% 0.29/0.44 thf(func_def_85, type, sK15: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > name > pi))).
% 0.29/0.44 thf(func_def_86, type, sK16: !>[X0: $tType]:((pi > X0 > pi > set @ product_prod @ pi @ pi > name > name))).
% 0.29/0.44 thf(func_def_87, type, sK17: (pi > name > pi > set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_88, type, sK18: (pi > name > pi > set @ product_prod @ pi @ pi > late_freeRes)).
% 0.29/0.44 thf(func_def_89, type, sK19: (pi > name > pi > set @ product_prod @ pi @ pi > name)).
% 0.29/0.44 thf(func_def_90, type, sK20: (pi > name > pi > set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_91, type, sK21: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 0.29/0.44 thf(func_def_92, type, sK22: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.29/0.44 thf(func_def_93, type, sK23: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.29/0.44 thf(func_def_94, type, sK24: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_95, type, sK25: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 0.29/0.44 thf(func_def_96, type, sK26: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 0.29/0.44 thf(func_def_97, type, sK27: (late_subject > name > pi > name > pi > pi)).
% 0.29/0.44 thf(func_def_98, type, sK28: (late_subject > name > pi > name > pi > pi)).
% 0.29/0.44 thf(func_def_99, type, sK29: (late_subject > name > pi > name > pi > name)).
% 0.29/0.44 thf(func_def_100, type, sK30: (late_subject > name > pi > name > pi > late_subject)).
% 0.29/0.44 thf(func_def_101, type, sK31: (late_subject > name > pi > name > pi > name)).
% 0.29/0.44 thf(func_def_102, type, sK32: (pi > late_subject > name > name > pi > name)).
% 0.29/0.44 thf(func_def_103, type, sK33: (pi > late_subject > name > name > pi > pi)).
% 0.29/0.44 thf(func_def_104, type, sK34: (pi > late_subject > name > name > pi > name)).
% 0.29/0.44 thf(func_def_105, type, sK35: (pi > late_subject > name > name > pi > pi)).
% 0.29/0.44 thf(func_def_106, type, sK36: (set @ product_prod @ pi @ pi > name)).
% 0.29/0.44 thf(func_def_107, type, sK37: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_108, type, sK38: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_109, type, sK39: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_110, type, sK40: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_111, type, sK41: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_112, type, sK42: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_113, type, sK43: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.29/0.44 thf(func_def_114, type, sK44: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_115, type, sK45: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.29/0.44 thf(func_def_116, type, sK46: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_117, type, sK47: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.29/0.44 thf(func_def_118, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X0))).
% 0.29/0.44 thf(func_def_119, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X3))).
% 0.29/0.44 thf(func_def_120, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X1))).
% 0.29/0.44 thf(func_def_121, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X5))).
% 0.29/0.44 thf(func_def_122, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X4))).
% 0.29/0.44 thf(func_def_123, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X2))).
% 0.29/0.44 thf(func_def_124, type, sK54: !>[X0: $tType]:((list @ X0 > X0))).
% 0.29/0.44 thf(func_def_125, type, sK55: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_126, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X0))).
% 0.29/0.44 thf(func_def_127, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X1))).
% 0.29/0.44 thf(func_def_128, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X2))).
% 0.29/0.44 thf(func_def_129, type, sK59: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 0.29/0.44 thf(func_def_130, type, sK60: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 0.29/0.44 thf(func_def_131, type, sK61: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_132, type, sK62: (set @ product_prod @ pi @ pi > name)).
% 0.29/0.44 thf(func_def_133, type, sK63: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_134, type, sK64: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_135, type, sK65: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_136, type, sK66: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_137, type, sK67: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_138, type, sK68: (set @ product_prod @ pi @ pi > name)).
% 0.29/0.44 thf(func_def_139, type, sK69: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_140, type, sK70: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_141, type, sK71: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_142, type, sK72: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_143, type, sK73: (set @ product_prod @ pi @ pi > name)).
% 0.29/0.44 thf(func_def_144, type, sK74: (set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_145, type, sK75: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_146, type, sK76: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_147, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X5))).
% 0.29/0.44 thf(func_def_148, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X0))).
% 0.29/0.44 thf(func_def_149, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X4))).
% 0.29/0.44 thf(func_def_150, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X1))).
% 0.29/0.44 thf(func_def_151, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X2))).
% 0.29/0.44 thf(func_def_152, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X3))).
% 0.29/0.44 thf(func_def_153, type, sK83: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 0.29/0.44 thf(func_def_154, type, sK84: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 0.29/0.44 thf(func_def_155, type, sK85: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 0.29/0.44 thf(func_def_156, type, sK86: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 0.29/0.44 thf(func_def_157, type, sK87: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 0.29/0.44 thf(func_def_158, type, sK88: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > list @ X1))).
% 0.29/0.44 thf(func_def_159, type, sK89: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 0.29/0.44 thf(func_def_160, type, sK90: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_161, type, sK91: !>[X0: $tType]:((list @ X0 > X0))).
% 0.29/0.44 thf(func_def_162, type, sK92: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_163, type, sK93: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 0.29/0.44 thf(func_def_164, type, sK94: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 0.29/0.44 thf(func_def_165, type, sK95: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 0.29/0.44 thf(func_def_166, type, sK96: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 0.29/0.44 thf(func_def_167, type, sK97: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 0.29/0.44 thf(func_def_168, type, sK98: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 0.29/0.44 thf(func_def_169, type, sK99: (name > pi > late_residual > late_subject)).
% 0.29/0.44 thf(func_def_170, type, sK100: (name > pi > late_residual > pi)).
% 0.29/0.44 thf(func_def_171, type, sK101: (name > pi > late_residual > name)).
% 0.29/0.44 thf(func_def_172, type, sK102: (name > pi > late_residual > name)).
% 0.29/0.44 thf(func_def_173, type, sK103: (name > pi > late_residual > pi)).
% 0.29/0.44 thf(func_def_174, type, sK104: (late_residual > name > pi > pi)).
% 0.29/0.44 thf(func_def_175, type, sK105: (late_residual > name > pi > name)).
% 0.29/0.44 thf(func_def_176, type, sK106: (late_residual > name > pi > late_freeRes)).
% 0.29/0.44 thf(func_def_177, type, sK107: (late_residual > name > pi > pi)).
% 0.29/0.44 thf(func_def_178, type, sK108: (late_residual > name > pi > name)).
% 0.29/0.44 thf(func_def_179, type, sK109: (late_residual > name > pi > name)).
% 0.29/0.44 thf(func_def_180, type, sK110: (late_residual > name > pi > pi)).
% 0.29/0.44 thf(func_def_181, type, sK111: (late_residual > name > pi > pi)).
% 0.29/0.44 thf(func_def_182, type, sK112: (set @ product_prod @ pi @ pi > late_freeRes > pi > pi > pi)).
% 0.29/0.44 thf(func_def_183, type, sK113: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_184, type, sK114: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_185, type, sK115: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_186, type, sK116: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_187, type, sK117: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_188, type, sK118: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_189, type, sK119: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 0.29/0.44 thf(func_def_190, type, sK120: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 0.29/0.44 thf(func_def_191, type, sK121: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_192, type, sK122: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_193, type, sK123: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 0.29/0.44 thf(func_def_194, type, sK124: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 0.29/0.44 thf(func_def_195, type, sK125: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 0.29/0.44 thf(func_def_196, type, sK126: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 0.29/0.44 thf(func_def_197, type, sK127: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X2))).
% 0.29/0.44 thf(func_def_198, type, sK128: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X3))).
% 0.29/0.44 thf(func_def_199, type, sK129: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X1))).
% 0.29/0.44 thf(func_def_200, type, sK130: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X4))).
% 0.29/0.44 thf(func_def_201, type, sK131: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X0))).
% 0.29/0.44 thf(func_def_202, type, sK132: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.29/0.44 thf(func_def_203, type, sK133: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_204, type, sK134: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_205, type, sK135: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 0.29/0.44 thf(func_def_206, type, sK136: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.29/0.44 thf(func_def_207, type, sK137: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.29/0.44 thf(func_def_208, type, sK138: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 0.29/0.44 thf(func_def_209, type, sK139: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.29/0.44 thf(func_def_210, type, sK140: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_211, type, sK141: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.29/0.44 thf(func_def_212, type, sK142: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_213, type, sK143: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_214, type, sK144: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0 > X1))).
% 0.29/0.44 thf(func_def_215, type, sK145: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_216, type, sK146: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0 > X1))).
% 0.29/0.44 thf(func_def_217, type, sK147: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_218, type, sK148: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0 > X1))).
% 0.29/0.44 thf(func_def_219, type, sK149: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 0.29/0.44 thf(func_def_220, type, sK150: !>[X0: $tType]:(((X0 > late_residual > $o) > late_freeRes))).
% 0.29/0.44 thf(func_def_221, type, sK151: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 0.29/0.44 thf(func_def_222, type, sK152: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 0.29/0.44 thf(func_def_223, type, sK153: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 0.29/0.44 thf(func_def_224, type, sK154: !>[X0: $tType]:(((X0 > late_residual > $o) > name))).
% 0.29/0.44 thf(func_def_225, type, sK155: !>[X0: $tType]:(((X0 > late_residual > $o) > late_subject))).
% 0.29/0.44 thf(func_def_226, type, sK156: (name > late_freeRes > pi > pi > pi)).
% 0.29/0.44 thf(func_def_227, type, sK157: (name > late_freeRes > pi > pi > name)).
% 0.29/0.44 thf(func_def_228, type, sK158: (name > late_freeRes > pi > pi > late_freeRes)).
% 0.29/0.44 thf(func_def_229, type, sK159: (name > late_freeRes > pi > pi > pi)).
% 0.29/0.44 thf(func_def_230, type, sK160: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 0.29/0.44 thf(func_def_231, type, sK161: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 0.29/0.44 thf(func_def_232, type, sK162: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 0.29/0.44 thf(func_def_233, type, sK163: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 0.29/0.44 thf(func_def_234, type, sK164: (late_subject > name)).
% 0.29/0.44 thf(func_def_235, type, sK165: (late_subject > name)).
% 0.29/0.44 thf(func_def_236, type, sK166: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.29/0.44 thf(func_def_237, type, sK167: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.29/0.44 thf(func_def_238, type, sK168: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 0.29/0.44 thf(func_def_239, type, sK169: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 0.29/0.44 thf(func_def_240, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 0.29/0.44 thf(func_def_241, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 0.29/0.44 thf(func_def_242, type, sK172: ((late_freeRes > $o) > name)).
% 0.29/0.44 thf(func_def_243, type, sK173: ((late_freeRes > $o) > name)).
% 0.29/0.44 thf(func_def_244, type, sK174: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 0.29/0.44 thf(func_def_245, type, sK175: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 0.29/0.44 thf(func_def_246, type, sK176: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 0.29/0.44 thf(func_def_247, type, sK177: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_248, type, sK178: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_249, type, sK179: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_250, type, sK180: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 0.29/0.44 thf(func_def_251, type, sK181: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_252, type, sK182: ((late_subject > $o) > name)).
% 0.29/0.44 thf(func_def_253, type, sK183: ((late_subject > $o) > name)).
% 0.29/0.44 thf(func_def_254, type, sK184: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 0.29/0.44 thf(func_def_255, type, sK185: !>[X0: $tType]:(((X0 > late_residual > $o) > late_freeRes))).
% 0.29/0.44 thf(func_def_256, type, sK186: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 0.29/0.44 thf(func_def_257, type, sK187: !>[X0: $tType]:(((X0 > late_residual > $o) > late_subject))).
% 0.29/0.44 thf(func_def_258, type, sK188: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 0.29/0.44 thf(func_def_259, type, sK189: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 0.29/0.44 thf(func_def_260, type, sK190: !>[X0: $tType]:(((X0 > late_residual > $o) > name))).
% 0.29/0.44 thf(func_def_261, type, sK191: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_262, type, sK192: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_263, type, sK193: !>[X0: $tType]:((list @ X0 > X0))).
% 0.29/0.44 thf(func_def_264, type, sK194: !>[X0: $tType]:((list @ X0 > X0))).
% 0.29/0.44 thf(func_def_265, type, sK195: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_266, type, sK196: !>[X0: $tType]:((list @ X0 > X0))).
% 0.29/0.44 thf(func_def_267, type, sK197: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_268, type, sK198: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_269, type, sK199: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_270, type, sK200: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_271, type, sK201: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X0 @ X2 > X0))).
% 0.29/0.44 thf(func_def_272, type, sK202: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X0 @ X2 > X1))).
% 0.29/0.44 thf(func_def_273, type, sK203: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X0 @ X2 > X2))).
% 0.29/0.44 thf(func_def_274, type, sK204: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_275, type, sK205: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_276, type, sK206: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_277, type, sK207: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_278, type, sK208: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_279, type, sK209: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_280, type, sK210: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_281, type, sK211: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_282, type, sK212: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_283, type, sK213: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_284, type, sK214: (late_subject > pi > name > name > (late_subject > pi > $o) > pi)).
% 0.29/0.44 thf(func_def_285, type, sK215: (late_subject > pi > name > name > (late_subject > pi > $o) > name)).
% 0.29/0.44 thf(func_def_286, type, sK216: (late_subject > pi > name > name > (late_subject > pi > $o) > pi)).
% 0.29/0.44 thf(func_def_287, type, sK217: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.29/0.44 thf(func_def_288, type, sK218: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X5 > $o) > X3))).
% 0.29/0.44 thf(func_def_289, type, sK219: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X5 > $o) > X5))).
% 0.29/0.44 thf(func_def_290, type, sK220: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X5 > $o) > X4))).
% 0.29/0.44 thf(func_def_291, type, sK221: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X5 > $o) > X1))).
% 0.29/0.44 thf(func_def_292, type, sK222: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X5 > $o) > X6))).
% 0.29/0.44 thf(func_def_293, type, sK223: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X5 > $o) > X2))).
% 0.29/0.44 thf(func_def_294, type, sK224: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ X5 > $o) > X0))).
% 0.29/0.44 thf(func_def_295, type, sK225: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.29/0.44 thf(func_def_296, type, sK226: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.29/0.44 thf(func_def_297, type, sK227: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.29/0.44 thf(func_def_298, type, sK228: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.29/0.44 thf(func_def_299, type, sK229: (pi > pi > set @ product_prod @ pi @ pi > name)).
% 0.29/0.44 thf(func_def_300, type, sK230: (pi > pi > set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_301, type, sK231: (pi > pi > set @ product_prod @ pi @ pi > late_subject)).
% 0.29/0.44 thf(func_def_302, type, sK232: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes)).
% 0.29/0.44 thf(func_def_303, type, sK233: (pi > pi > set @ product_prod @ pi @ pi > pi)).
% 0.29/0.44 thf(func_def_304, type, sK234: !>[X0: $tType]:((list @ X0 > X0))).
% 0.29/0.44 thf(func_def_305, type, sK235: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_306, type, sK236: (late_freeRes > (pi > $o) > pi > name > pi)).
% 0.29/0.44 thf(func_def_307, type, sK237: ((late_residual > $o) > name)).
% 0.29/0.44 thf(func_def_308, type, sK238: ((late_residual > $o) > late_subject)).
% 0.29/0.44 thf(func_def_309, type, sK239: ((late_residual > $o) > pi)).
% 0.29/0.44 thf(func_def_310, type, sK240: ((late_residual > $o) > pi)).
% 0.29/0.44 thf(func_def_311, type, sK241: ((late_residual > $o) > late_freeRes)).
% 0.29/0.44 thf(func_def_312, type, sK242: !>[X0: $tType]:((X0 > name))).
% 0.29/0.44 thf(func_def_313, type, sK243: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_314, type, sK244: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_315, type, sK245: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_316, type, sK246: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.29/0.44 thf(func_def_317, type, sK247: !>[X0: $tType]:((list @ X0 > X0))).
% 0.29/0.44 thf(func_def_318, type, sK248: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X0 @ X2 > X3))).
% 0.29/0.44 thf(func_def_319, type, sK249: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X0 @ X2 > X2))).
% 0.29/0.44 thf(func_def_320, type, sK250: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X0 @ X2 > X0))).
% 0.29/0.44 thf(func_def_321, type, sK251: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X0 @ X2 > X5))).
% 0.29/0.44 thf(func_def_322, type, sK252: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X0 @ X2 > X4))).
% 0.29/0.44 thf(func_def_323, type, sK253: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X0 @ X2 > X6))).
% 0.29/0.44 thf(func_def_324, type, sK254: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X0 @ X2 > X1))).
% 0.29/0.44 thf(func_def_325, type, sK255: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_326, type, sK256: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_327, type, sK257: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_328, type, sK258: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_329, type, sK259: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_330, type, sK260: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.29/0.44 thf(func_def_331, type, sK261: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 0.29/0.44 thf(func_def_332, type, sK262: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_333, type, sK263: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 0.29/0.44 thf(func_def_334, type, sK264: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.29/0.44 thf(func_def_335, type, sK265: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 0.29/0.44 thf(func_def_336, type, sK266: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.29/0.44 thf(func_def_337, type, sK267: (late_freeRes > name)).
% 0.29/0.44 thf(func_def_338, type, sK268: (late_freeRes > name)).
% 0.29/0.44 thf(func_def_339, type, sK269: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 0.29/0.44 thf(func_def_340, type, sK270: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 0.29/0.44 thf(func_def_341, type, sK271: (pi > set @ product_prod @ pi @ pi > pi > late_freeRes)).
% 0.29/0.44 thf(func_def_342, type, sK272: (pi > set @ product_prod @ pi @ pi > pi > pi)).
% 0.29/0.44 thf(func_def_343, type, sK273: !>[X0: $tType]:((X0 > pi > set @ product_prod @ pi @ pi > pi > name))).
% 0.29/0.44 thf(func_def_344, type, sK274: !>[X0: $tType]:((X0 > pi > set @ product_prod @ pi @ pi > pi > pi))).
% 0.29/0.44 thf(func_def_345, type, sK275: !>[X0: $tType]:((X0 > pi > set @ product_prod @ pi @ pi > pi > late_subject))).
% 0.29/0.44 thf(func_def_346, type, sK276: (pi > pi > name > (pi > $o) > late_subject > pi)).
% 0.29/0.44 thf(func_def_347, type, sK277: (pi > pi > name > (pi > $o) > late_subject > pi)).
% 0.29/0.44 thf(func_def_348, type, sK278: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0 > X1))).
% 0.29/0.44 thf(func_def_349, type, sK279: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X1))).
% 0.29/0.44 thf(func_def_350, type, sK280: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0))).
% 0.29/0.44 thf(func_def_351, type, sK281: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > X0 > X1))).
% 0.29/0.44 thf(func_def_352, type, sK282: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X1))).
% 0.29/0.44 thf(func_def_353, type, sK283: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > X1) @ product_prod @ list @ X0 @ list @ X1 > list @ X0))).
% 0.29/0.44 thf(func_def_354, type, sK284: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.29/0.44 thf(func_def_355, type, sK285: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.29/0.44 thf(func_def_356, type, sK286: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.29/0.44 thf(func_def_357, type, sK287: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.29/0.44 thf(func_def_358, type, sK288: (pi > pi > late_subject > name > pi > pi)).
% 0.29/0.44 thf(func_def_359, type, sK289: (pi > pi > late_subject > name > pi > pi)).
% 0.29/0.44 thf(func_def_360, type, sK290: (pi > pi > late_subject > name > pi > late_subject)).
% 0.29/0.44 thf(func_def_361, type, sK291: (pi > pi > late_subject > name > pi > pi)).
% 0.29/0.44 thf(func_def_362, type, sK292: (pi > pi > late_subject > name > pi > name)).
% 0.29/0.44 thf(func_def_363, type, sK293: (pi > pi > name > pi > late_subject > pi)).
% 0.29/0.44 thf(func_def_364, type, sK294: (pi > pi > name > pi > late_subject > late_subject)).
% 0.29/0.44 thf(func_def_365, type, sK295: (pi > pi > name > pi > late_subject > pi)).
% 0.29/0.44 thf(func_def_366, type, sK296: (pi > pi > name > pi > late_subject > name)).
% 0.29/0.44 thf(func_def_367, type, sK297: (pi > pi > name > pi > late_subject > pi)).
% 0.29/0.44 thf(func_def_369, type, inv_late_BoundOutputS_299: (late_subject > name)).
% 0.29/0.44 thf(func_def_370, type, inv_perm_300: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X0 > X1 > X1))).
% 0.29/0.44 thf(f2,axiom,(
% 0.29/0.44 (((late_OutputR @ ab @ x)) = late_TauR)),
% 0.29/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_cComm1_Ohyps_I9_J)).
% 0.29/0.44 thf(f118,axiom,(
% 0.29/0.44 ! [X1 : name,X0 : name] : (((late_OutputR @ X0 @ X1)) != late_TauR)),
% 0.29/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_Late__Semantics_OfreeRes_Odistinct_I1_J)).
% 0.29/0.44 thf(f796,plain,(
% 0.29/0.44 ! [X0 : name,X1 : name] : (late_TauR != ((late_OutputR @ X1 @ X0)))),
% 0.29/0.44 inference(rectify,[],[f118])).
% 0.29/0.44 thf(f1371,plain,(
% 0.29/0.44 ( ! [X0 : name,X1 : name] : ((late_TauR != ((late_OutputR @ X1 @ X0)))) )),
% 0.29/0.44 inference(cnf_transformation,[],[f796])).
% 0.29/0.44 thf(f1540,plain,(
% 0.29/0.44 (((late_OutputR @ ab @ x)) = late_TauR)),
% 0.29/0.44 inference(cnf_transformation,[],[f2])).
% 0.29/0.44 thf(f2143,definition,(
% 0.29/0.44 spl298_51 <=> (((late_OutputR @ ab @ x)) = late_TauR)),
% 0.29/0.44 introduced(definition,[new_symbols(definition,[spl298_51])],[avatar_definition])).
% 0.29/0.44 thf(f2145,plain,(
% 0.29/0.44 (((late_OutputR @ ab @ x)) = late_TauR) | ~spl298_51),
% 0.29/0.44 inference(avatar_component_clause,[],[f2143])).
% 0.29/0.44 thf(f2146,plain,(
% 0.29/0.44 spl298_51),
% 0.29/0.44 inference(avatar_split_clause,[],[f1540,f2143])).
% 0.29/0.44 thf(f2636,plain,(
% 0.29/0.44 (late_TauR != late_TauR) | ~spl298_51),
% 0.29/0.44 inference(superposition,[],[f1371,f2145])).
% 0.29/0.44 thf(f2637,plain,(
% 0.29/0.44 $false | ~spl298_51),
% 0.29/0.44 inference(trivial_inequality_removal,[],[f2636])).
% 0.29/0.44 thf(f2638,plain,(
% 0.29/0.44 ~spl298_51),
% 0.29/0.44 inference(avatar_contradiction_clause,[],[f2637])).
% 0.29/0.44 cnf(s51, plain, spl298_51, inference(sat_conversion,[],[f2146])).
% 0.29/0.44 cnf(s69, plain, ~spl298_51, inference(sat_conversion,[],[f2638])).
% 0.29/0.44 cnf(s70, plain, $false, inference(rat,[],[s51,s69])).
% 0.29/0.44 thf(f2639,plain,(
% 0.29/0.44 $false),
% 0.29/0.44 inference(avatar_sat_refutation,[],[s70])).
% 0.29/0.44 % SZS output end Proof for theBenchmark
% 0.29/0.44 % (1115697)------------------------------
% 0.29/0.44 % (1115697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.44 % (1115697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.44 % (1115697)CaDiCaL version: 2.1.3
% 0.29/0.44 % (1115697)Termination reason: Refutation
% 0.29/0.44 % (1115697)Time elapsed: 0.083 s
% 0.29/0.44 % (1115697)Peak memory usage: 16 MB
% 0.29/0.44 % (1115697)Instructions burned: 292 (million)
% 0.29/0.44 % (1115689)Success in time 0.14 s
% 0.29/0.44 % Vampire exiting
%------------------------------------------------------------------------------