%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM190^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 07:46:25 AM UTC 2026
% Result : Theorem 0.63s 0.41s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM190^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % 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 17:52:29 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.21/0.28 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
% 0.63/0.41 % (2839282)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.41 % (2839291)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3666548271:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.41 % (2839293)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.41 % (2839293)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
% 0.63/0.41 % (2839288)lrs+10_16_si=on:nwc=1.5:random_seed=3412074985:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.41 % (2839292)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3200268481:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.41 % (2839289)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1291418346:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.41 % (2839291)Instruction limit reached!
% 0.63/0.41 % (2839291)------------------------------
% 0.63/0.41 % (2839291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839290)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=2044269894: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)
% 0.63/0.41 % (2839291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839291)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839291)Termination reason: Instruction limit
% 0.63/0.41 % (2839291)Termination phase: Property scanning
% 0.63/0.41 % (2839291)Time elapsed: 0.007 s
% 0.63/0.41 % (2839291)Peak memory usage: 10 MB
% 0.63/0.41 % (2839291)Instructions burned: 27 (million)
% 0.63/0.41 % (2839293)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=1423788488:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.41 % (2839289)Instruction limit reached!
% 0.63/0.41 % (2839289)------------------------------
% 0.63/0.41 % (2839289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839289)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839289)Termination reason: Instruction limit
% 0.63/0.41 % (2839289)Termination phase: shuffling
% 0.63/0.41 % (2839289)Time elapsed: 0.003 s
% 0.63/0.41 % (2839289)Peak memory usage: 10 MB
% 0.63/0.41 % (2839289)Instructions burned: 5 (million)
% 0.63/0.41 % (2839288)Instruction limit reached!
% 0.63/0.41 % (2839288)------------------------------
% 0.63/0.41 % (2839288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839288)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839288)Termination reason: Instruction limit
% 0.63/0.41 % (2839288)Termination phase: Property scanning
% 0.63/0.41 % (2839288)Time elapsed: 0.009 s
% 0.63/0.41 % (2839288)Peak memory usage: 10 MB
% 0.63/0.41 % (2839288)Instructions burned: 19 (million)
% 0.63/0.41 % (2839300)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=179624773:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.41 % (2839300)Instruction limit reached!
% 0.63/0.41 % (2839300)------------------------------
% 0.63/0.41 % (2839300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839300)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839300)Termination reason: Instruction limit
% 0.63/0.41 % (2839300)Termination phase: shuffling
% 0.63/0.41 % (2839300)Time elapsed: 0.002 s
% 0.63/0.41 % (2839300)Peak memory usage: 10 MB
% 0.63/0.41 % (2839300)Instructions burned: 6 (million)
% 0.63/0.41 % (2839287)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1274966084:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.41 % (2839301)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3589399769:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.41 % (2839302)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.41 % (2839304)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1617308995:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.41 % (2839301)Instruction limit reached!
% 0.63/0.41 % (2839301)------------------------------
% 0.63/0.41 % (2839301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839301)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839301)Termination reason: Instruction limit
% 0.63/0.41 % (2839301)Termination phase: shuffling
% 0.63/0.41 % (2839301)Time elapsed: 0.003 s
% 0.63/0.41 % (2839301)Peak memory usage: 10 MB
% 0.63/0.41 % (2839301)Instructions burned: 5 (million)
% 0.63/0.41 % (2839302)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3491422868:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.41 % (2839304)Instruction limit reached!
% 0.63/0.41 % (2839304)------------------------------
% 0.63/0.41 % (2839304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839304)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839304)Termination reason: Instruction limit
% 0.63/0.41 % (2839304)Termination phase: shuffling
% 0.63/0.41 % (2839304)Time elapsed: 0.003 s
% 0.63/0.41 % (2839304)Peak memory usage: 10 MB
% 0.63/0.41 % (2839304)Instructions burned: 12 (million)
% 0.63/0.41 % (2839302)Instruction limit reached!
% 0.63/0.41 % (2839302)------------------------------
% 0.63/0.41 % (2839302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839302)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839302)Termination reason: Instruction limit
% 0.63/0.41 % (2839302)Termination phase: shuffling
% 0.63/0.41 % (2839302)Time elapsed: 0.003 s
% 0.63/0.41 % (2839302)Peak memory usage: 10 MB
% 0.63/0.41 % (2839302)Instructions burned: 7 (million)
% 0.63/0.41 % (2839292)Instruction limit reached!
% 0.63/0.41 % (2839292)------------------------------
% 0.63/0.41 % (2839292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839292)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839292)Termination reason: Instruction limit
% 0.63/0.41 % (2839292)Termination phase: Property scanning
% 0.63/0.41 % (2839292)Time elapsed: 0.037 s
% 0.63/0.41 % (2839292)Peak memory usage: 12 MB
% 0.63/0.41 % (2839292)Instructions burned: 77 (million)
% 0.63/0.41 % (2839310)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=1836351744:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.41 % (2839308)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
% 0.63/0.41 % (2839308)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.41 % (2839308)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1563116615:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.41 % (2839311)lrs+10_1_si=on:cs=on:random_seed=3093893231:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.41 % (2839312)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.41 % (2839311)Instruction limit reached!
% 0.63/0.41 % (2839311)------------------------------
% 0.63/0.41 % (2839311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839311)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839311)Termination reason: Instruction limit
% 0.63/0.41 % (2839311)Termination phase: shuffling
% 0.63/0.41 % (2839311)Time elapsed: 0.005 s
% 0.63/0.41 % (2839311)Peak memory usage: 10 MB
% 0.63/0.41 % (2839311)Instructions burned: 9 (million)
% 0.63/0.41 % (2839312)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=2397161015:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.41 % (2839308)Instruction limit reached!
% 0.63/0.41 % (2839308)------------------------------
% 0.63/0.41 % (2839308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839308)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839308)Termination reason: Instruction limit
% 0.63/0.41 % (2839308)Termination phase: shuffling
% 0.63/0.41 % (2839308)Time elapsed: 0.013 s
% 0.63/0.41 % (2839308)Peak memory usage: 10 MB
% 0.63/0.41 % (2839308)Instructions burned: 29 (million)
% 0.63/0.41 % (2839312)Instruction limit reached!
% 0.63/0.41 % (2839312)------------------------------
% 0.63/0.41 % (2839312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839312)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839310)Instruction limit reached!
% 0.63/0.41 % (2839310)------------------------------
% 0.63/0.41 % (2839310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839312)Termination reason: Instruction limit
% 0.63/0.41 % (2839312)Termination phase: shuffling
% 0.63/0.41 % (2839312)Time elapsed: 0.003 s
% 0.63/0.41 % (2839312)Peak memory usage: 10 MB
% 0.63/0.41 % (2839312)Instructions burned: 5 (million)
% 0.63/0.41 % (2839310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839310)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839310)Termination reason: Instruction limit
% 0.63/0.41 % (2839310)Termination phase: Preprocessing 3
% 0.63/0.41 % (2839310)Time elapsed: 0.019 s
% 0.63/0.41 % (2839310)Peak memory usage: 11 MB
% 0.63/0.41 % (2839310)Instructions burned: 88 (million)
% 0.63/0.41 % (2839293) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2839282-2839293"...
% 0.63/0.41 % (2839293)...printing done.
% 0.63/0.41 % (2839293)Refutation found. Thanks to Tanya!
% 0.63/0.41 % SZS status Theorem for theBenchmark
% 0.63/0.41 % SZS output start Proof for theBenchmark
% 0.63/0.41 thf(type_def_5, type, dtree: $tType).
% 0.63/0.41 thf(type_def_6, type, list: $tType > $tType).
% 0.63/0.41 thf(type_def_7, type, set: $tType > $tType).
% 0.63/0.41 thf(type_def_8, type, nat: $tType).
% 0.63/0.41 thf(type_def_9, type, n: $tType).
% 0.63/0.41 thf(type_def_10, type, itself: $tType > $tType).
% 0.63/0.41 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 0.63/0.41 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.41 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.41 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.41 thf(func_def_3, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.41 thf(func_def_4, type, no_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.41 thf(func_def_5, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.41 thf(func_def_6, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.41 thf(func_def_7, type, wellorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.41 thf(func_def_8, type, dense_order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.41 thf(func_def_9, type, dense_linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.41 thf(func_def_10, type, condit1656338222tinuum: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.41 thf(func_def_11, type, condit1037483654norder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.41 thf(func_def_12, type, gram_L250615845e_path: ((n > dtree) > list @ n > $o)).
% 0.63/0.41 thf(func_def_13, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_14, type, distinct: !>[X0: $tType]:((list @ X0 > $o))).
% 0.63/0.41 thf(func_def_15, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 0.63/0.41 thf(func_def_16, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_17, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.63/0.41 thf(func_def_18, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 0.63/0.41 thf(func_def_19, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 0.63/0.41 thf(func_def_20, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 0.63/0.41 thf(func_def_21, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.63/0.41 thf(func_def_22, type, sublists: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 0.63/0.41 thf(func_def_23, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_24, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 0.63/0.41 thf(func_def_25, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.63/0.41 thf(func_def_26, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.63/0.41 thf(func_def_27, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.63/0.41 thf(func_def_28, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.63/0.41 thf(func_def_29, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.63/0.41 thf(func_def_30, type, f: (n > dtree)).
% 0.63/0.41 thf(func_def_31, type, nl: list @ n).
% 0.63/0.41 thf(func_def_32, type, nla: list @ n).
% 0.63/0.41 thf(func_def_34, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_35, type, vAND: ($o > $o > $o)).
% 0.63/0.41 thf(func_def_36, type, db1: !>[X0: $tType]:(X0)).
% 0.63/0.41 thf(func_def_37, type, db0: !>[X0: $tType]:(X0)).
% 0.63/0.41 thf(func_def_38, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.63/0.41 thf(func_def_39, type, vNOT: ($o > $o)).
% 0.63/0.41 thf(func_def_40, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.63/0.41 thf(func_def_43, type, vOR: ($o > $o > $o)).
% 0.63/0.41 thf(func_def_44, type, db2: !>[X0: $tType]:(X0)).
% 0.63/0.41 thf(func_def_45, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_46, type, vIMP: ($o > $o > $o)).
% 0.63/0.41 thf(func_def_47, type, sP0: (list @ n > $o)).
% 0.63/0.41 thf(func_def_48, type, sP1: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_49, type, sP2: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_50, type, sP3: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_51, type, sP4: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.63/0.41 thf(func_def_52, type, sP5: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.63/0.41 thf(func_def_53, type, sP6: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.63/0.41 thf(func_def_54, type, sP7: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.63/0.41 thf(func_def_55, type, sP8: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.63/0.41 thf(func_def_56, type, sP9: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.63/0.41 thf(func_def_57, type, sP10: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_58, type, sP11: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_59, type, sP12: !>[X0: $tType]:((list @ X0 > (X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_60, type, sP13: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_61, type, sP14: !>[X0: $tType]:((list @ X0 > (X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_62, type, sP15: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_63, type, sP16: !>[X0: $tType]:((list @ X0 > (X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_64, type, sP17: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_65, type, sP18: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.63/0.41 thf(func_def_66, type, sP19: !>[X0: $tType]:((list @ X0 > (X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_67, type, sP20: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_68, type, sP21: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > $o))).
% 0.63/0.41 thf(func_def_69, type, sP22: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > $o))).
% 0.63/0.41 thf(func_def_70, type, sP23: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 0.63/0.41 thf(func_def_71, type, sK24: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.63/0.41 thf(func_def_72, type, sK25: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.63/0.41 thf(func_def_73, type, sK26: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_74, type, sK27: (list @ n > list @ n)).
% 0.63/0.41 thf(func_def_75, type, sK28: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_76, type, sK29: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_77, type, sK30: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_78, type, sK31: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_79, type, sK32: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_80, type, sK33: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_81, type, sK34: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_82, type, sK35: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_83, type, sK36: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.63/0.41 thf(func_def_84, type, sK37: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_85, type, sK38: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 0.63/0.41 thf(func_def_86, type, sK39: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.63/0.41 thf(func_def_87, type, sK40: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_88, type, sK41: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_89, type, sK42: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_90, type, sK43: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_91, type, sK44: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_92, type, sK45: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_93, type, sK46: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 0.63/0.41 thf(func_def_94, type, sK47: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_95, type, sK48: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_96, type, sK49: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_97, type, sK50: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.63/0.41 thf(func_def_98, type, sK51: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.63/0.41 thf(func_def_99, type, sK52: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_100, type, sK53: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_101, type, sK54: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_102, type, sK55: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_103, type, sK56: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_104, type, sK57: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_105, type, sK58: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_106, type, sK59: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_107, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_108, type, sK61: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_109, type, sK62: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_110, type, sK63: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_111, type, sK64: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_112, type, sK65: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_113, type, sK66: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_114, type, sK67: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.63/0.41 thf(func_def_115, type, sK68: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_116, type, sK69: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 0.63/0.41 thf(func_def_117, type, sK70: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_118, type, sK71: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_119, type, sK72: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 0.63/0.41 thf(func_def_120, type, sK73: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.63/0.41 thf(func_def_121, type, sK74: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_122, type, sK75: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_123, type, sK76: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_124, type, sK77: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_125, type, sK78: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_126, type, sK79: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_127, type, sK80: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_128, type, sK81: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_129, type, sK82: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_130, type, sK83: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_131, type, sK84: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.63/0.41 thf(func_def_132, type, sK85: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.63/0.41 thf(func_def_133, type, sK86: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.63/0.41 thf(func_def_134, type, sK87: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_135, type, sK88: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_136, type, sK89: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_137, type, sK90: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_138, type, sK91: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_139, type, sK92: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_140, type, sK93: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1 > X0))).
% 0.63/0.41 thf(func_def_141, type, sK94: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_142, type, sK95: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1))).
% 0.63/0.41 thf(func_def_143, type, sK96: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.63/0.41 thf(func_def_144, type, sK97: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_145, type, sK98: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1 > X0))).
% 0.63/0.41 thf(func_def_146, type, sK99: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_147, type, sK100: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.63/0.41 thf(func_def_148, type, sK101: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_149, type, sK102: !>[X0: $tType]:((nat > list @ X0))).
% 0.63/0.41 thf(func_def_150, type, sK103: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_151, type, sK104: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_152, type, sK105: !>[X0: $tType]:((list @ X0 > X0))).
% 0.63/0.41 thf(func_def_153, type, sK106: !>[X0: $tType]:((list @ X0 > X0))).
% 0.63/0.41 thf(func_def_154, type, sK107: !>[X0: $tType]:((list @ X0 > X0))).
% 0.63/0.41 thf(func_def_155, type, sK108: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_156, type, sK109: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_157, type, sK110: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_158, type, sK111: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.63/0.41 thf(func_def_159, type, sK112: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.63/0.41 thf(func_def_160, type, sK113: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 0.63/0.41 thf(func_def_161, type, sK114: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_162, type, sK115: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_163, type, sK116: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_164, type, sK117: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_165, type, sK118: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_166, type, sK119: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_167, type, sK120: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_168, type, sK121: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_169, type, sK122: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_170, type, sK123: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_171, type, sK124: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_172, type, sK125: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_173, type, sK126: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_174, type, sK127: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_175, type, sK128: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.63/0.41 thf(func_def_176, type, sK129: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.63/0.41 thf(func_def_177, type, sK130: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_178, type, sK131: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_179, type, sK132: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_180, type, sK133: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.41 thf(func_def_181, type, sK134: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_182, type, sK135: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_183, type, sK136: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_184, type, sK137: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_185, type, sK138: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_186, type, sK139: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_187, type, sK140: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_188, type, sK141: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_189, type, sK142: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_190, type, sK143: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_191, type, sK144: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.63/0.41 thf(func_def_192, type, sK145: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_193, type, sK146: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_194, type, sK147: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_195, type, sK148: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.63/0.41 thf(func_def_196, type, sK149: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 0.63/0.41 thf(func_def_197, type, sK150: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 0.63/0.41 thf(func_def_198, type, sK151: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_199, type, sK152: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_200, type, sK153: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.63/0.41 thf(func_def_201, type, sK154: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.63/0.41 thf(func_def_202, type, sK155: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_203, type, sK156: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 0.63/0.41 thf(func_def_204, type, sK157: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > X1))).
% 0.63/0.41 thf(func_def_205, type, sK158: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > list @ X1))).
% 0.63/0.41 thf(func_def_206, type, sK159: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > list @ X2))).
% 0.63/0.41 thf(func_def_207, type, sK160: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_208, type, sK161: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > X2))).
% 0.63/0.41 thf(func_def_209, type, sK162: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_210, type, sK163: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_211, type, sK164: !>[X0: $tType]:((list @ X0 > X0))).
% 0.63/0.41 thf(func_def_212, type, sK165: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_213, type, sK166: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 0.63/0.41 thf(func_def_214, type, sK167: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_215, type, sK168: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_216, type, sK169: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.41 thf(func_def_217, type, sK170: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_218, type, sK171: !>[X0: $tType]:((list @ X0 > X0))).
% 0.63/0.41 thf(func_def_219, type, sK172: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.63/0.41 thf(func_def_220, type, sK173: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_221, type, sK174: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_222, type, sK175: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.63/0.41 thf(func_def_223, type, sK176: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_224, type, sK177: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_225, type, sK178: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_226, type, sK179: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_227, type, sK180: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_228, type, sK181: !>[X0: $tType]:((list @ X0 > X0))).
% 0.63/0.41 thf(func_def_229, type, sK182: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_230, type, sK183: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_231, type, sK184: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 0.63/0.41 thf(func_def_232, type, sK185: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 0.63/0.41 thf(func_def_233, type, sK186: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.63/0.41 thf(func_def_234, type, sK187: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 0.63/0.41 thf(func_def_235, type, sK188: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_236, type, sK189: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_237, type, sK190: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_238, type, sK191: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_239, type, sF192: $o).
% 0.63/0.41 thf(func_def_240, type, sK193: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_241, type, sK194: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_242, type, sK195: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.63/0.41 thf(func_def_243, type, sK196: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.63/0.41 thf(func_def_244, type, sK197: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.63/0.41 thf(func_def_245, type, sK198: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.63/0.41 thf(func_def_246, type, sK199: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_247, type, sK200: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_248, type, sK201: !>[X0: $tType]:((list @ X0 > X0))).
% 0.63/0.41 thf(func_def_249, type, sK202: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_250, type, sK203: !>[X0: $tType]:((list @ X0 > set @ X0 > X0))).
% 0.63/0.41 thf(func_def_251, type, sK204: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.41 thf(func_def_252, type, sK205: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.63/0.41 thf(func_def_253, type, sK206: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.63/0.41 thf(func_def_254, type, sK207: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.63/0.41 thf(func_def_255, type, sK208: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.63/0.41 thf(func_def_256, type, sK209: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_257, type, sK210: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_258, type, sK211: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_259, type, sK212: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_260, type, sK213: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_261, type, sK214: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_262, type, sK215: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_263, type, sK216: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_264, type, sK217: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_265, type, sK218: !>[X0: $tType]:((list @ X0 > X0))).
% 0.63/0.41 thf(func_def_266, type, sK219: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_267, type, sK220: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(func_def_268, type, sK221: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 0.63/0.41 thf(f2,axiom,(
% 0.63/0.41 (gram_L250615845e_path @ f @ nla)),
% 0.63/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__C1_Oprems_C)).
% 0.63/0.41 thf(f273,conjecture,(
% 0.63/0.41 (gram_L250615845e_path @ f @ nla)),
% 0.63/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.63/0.41 thf(f274,negated_conjecture,(
% 0.63/0.41 ~(gram_L250615845e_path @ f @ nla)),
% 0.63/0.41 inference(negated_conjecture,[status(cth)],[f273])).
% 0.63/0.41 thf(f476,plain,(
% 0.63/0.41 ~(gram_L250615845e_path @ f @ nla)),
% 0.63/0.41 inference(rectify,[],[f274])).
% 0.63/0.41 thf(f477,plain,(
% 0.63/0.41 ~ (((gram_L250615845e_path @ f @ nla)) = $true)),
% 0.63/0.41 inference(fool_elimination,[],[f476])).
% 0.63/0.41 thf(f588,plain,(
% 0.63/0.41 (gram_L250615845e_path @ f @ nla)),
% 0.63/0.41 inference(rectify,[],[f2])).
% 0.63/0.41 thf(f589,plain,(
% 0.63/0.41 (((gram_L250615845e_path @ f @ nla)) = $true)),
% 0.63/0.41 inference(fool_elimination,[],[f588])).
% 0.63/0.41 thf(f776,plain,(
% 0.63/0.41 (((gram_L250615845e_path @ f @ nla)) != $true)),
% 0.63/0.41 inference(flattening,[],[f477])).
% 0.63/0.41 thf(f1471,plain,(
% 0.63/0.41 (((gram_L250615845e_path @ f @ nla)) = $true)),
% 0.63/0.41 inference(cnf_transformation,[],[f589])).
% 0.63/0.41 thf(f1716,plain,(
% 0.63/0.41 (((gram_L250615845e_path @ f @ nla)) != $true)),
% 0.63/0.41 inference(cnf_transformation,[],[f776])).
% 0.63/0.41 thf(f1827,definition,(
% 0.63/0.41 (sF192 = ((gram_L250615845e_path @ f @ nla)))),
% 0.63/0.41 introduced(definition,[new_symbols(definition,[sF192])],[function_definition])).
% 0.63/0.41 thf(f1828,plain,(
% 0.63/0.41 (((gram_L250615845e_path @ f @ nla)) = sF192)),
% 0.63/0.41 inference(reorient_equations,[],[f1827])).
% 0.63/0.41 thf(f1829,plain,(
% 0.63/0.41 (sF192 != $true)),
% 0.63/0.41 inference(definition_folding,[],[f1716,f1828])).
% 0.63/0.41 thf(f1831,plain,(
% 0.63/0.41 (((gram_L250615845e_path @ f @ nla)) = $false) | (sF192 = $true)),
% 0.63/0.41 inference(iff_proxy_clausification,[],[f1828])).
% 0.63/0.41 thf(f2442,definition,(
% 0.63/0.41 spl222_1 <=> (sF192 = $true)),
% 0.63/0.41 introduced(definition,[new_symbols(definition,[spl222_1])],[avatar_definition])).
% 0.63/0.41 thf(f2446,definition,(
% 0.63/0.41 spl222_2 <=> (((gram_L250615845e_path @ f @ nla)) = $false)),
% 0.63/0.41 introduced(definition,[new_symbols(definition,[spl222_2])],[avatar_definition])).
% 0.63/0.41 thf(f2448,plain,(
% 0.63/0.41 (((gram_L250615845e_path @ f @ nla)) = $false) | ~spl222_2),
% 0.63/0.41 inference(avatar_component_clause,[],[f2446])).
% 0.63/0.41 thf(f2449,plain,(
% 0.63/0.41 spl222_1 | spl222_2),
% 0.63/0.41 inference(avatar_split_clause,[],[f1831,f2446,f2442])).
% 0.63/0.41 thf(f2455,definition,(
% 0.63/0.41 spl222_4 <=> (((gram_L250615845e_path @ f @ nla)) = $true)),
% 0.63/0.41 introduced(definition,[new_symbols(definition,[spl222_4])],[avatar_definition])).
% 0.63/0.41 thf(f2457,plain,(
% 0.63/0.41 (((gram_L250615845e_path @ f @ nla)) = $true) | ~spl222_4),
% 0.63/0.41 inference(avatar_component_clause,[],[f2455])).
% 0.63/0.41 thf(f2459,plain,(
% 0.63/0.41 spl222_4),
% 0.63/0.41 inference(avatar_split_clause,[],[f1471,f2455])).
% 0.63/0.41 thf(f2460,plain,(
% 0.63/0.41 ~spl222_1),
% 0.63/0.41 inference(avatar_split_clause,[],[f1829,f2442])).
% 0.63/0.41 thf(f2483,plain,(
% 0.63/0.41 ($true = $false) | (~spl222_2 | ~spl222_4)),
% 0.63/0.41 inference(forward_demodulation,[],[f2457,f2448])).
% 0.63/0.41 thf(f2484,plain,(
% 0.63/0.41 $false | (~spl222_2 | ~spl222_4)),
% 0.63/0.41 inference(trivial_inequality_removal,[],[f2483])).
% 0.63/0.41 thf(f2485,plain,(
% 0.63/0.41 ~spl222_2 | ~spl222_4),
% 0.63/0.41 inference(avatar_contradiction_clause,[],[f2484])).
% 0.63/0.41 cnf(s1, plain, spl222_1 | spl222_2, inference(sat_conversion,[],[f2449])).
% 0.63/0.41 cnf(s3, plain, spl222_4, inference(sat_conversion,[],[f2459])).
% 0.63/0.41 cnf(s4, plain, ~spl222_1, inference(sat_conversion,[],[f2460])).
% 0.63/0.41 cnf(s7, plain, ~spl222_2 | ~spl222_4, inference(sat_conversion,[],[f2485])).
% 0.63/0.41 cnf(s9, plain, ~spl222_2, inference(rat,[],[s7,s3])).
% 0.63/0.41 cnf(s10, plain, $false, inference(rat,[],[s1,s9,s4])).
% 0.63/0.41 thf(f2486,plain,(
% 0.63/0.41 $false),
% 0.63/0.41 inference(avatar_sat_refutation,[],[s10])).
% 0.63/0.41 % SZS output end Proof for theBenchmark
% 0.63/0.41 % (2839293)------------------------------
% 0.63/0.41 % (2839293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41 % (2839293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41 % (2839293)CaDiCaL version: 2.1.3
% 0.63/0.41 % (2839293)Termination reason: Refutation
% 0.63/0.41 % (2839293)Time elapsed: 0.064 s
% 0.63/0.41 % (2839293)Peak memory usage: 15 MB
% 0.63/0.41 % (2839293)Instructions burned: 131 (million)
% 0.63/0.41 % (2839282)Success in time 0.116 s
% 0.63/0.41 % Vampire exiting
%------------------------------------------------------------------------------