%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP136^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:08:30 AM UTC 2026
% Result : Theorem 1.19s 0.64s
% Output : Refutation 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP136^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.27 % Computer : n006.cluster.edu
% 0.24/0.27 % Model : x86_64 x86_64
% 0.24/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.27 % Memory : 8046.5625MB
% 0.24/0.27 % OS : Linux 6.8.0-71-generic
% 0.24/0.27 % CPULimit : 300
% 0.24/0.27 % WCLimit : 300
% 0.24/0.27 % DateTime : Tue Sep 29 19:58:24 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.31 Running higher-order theorem proving
% 0.32/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.19/0.64 % (1234483)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.19/0.64 % (1234490)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=143738052:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.19/0.64 % (1234490)Instruction limit reached!
% 1.19/0.64 % (1234490)------------------------------
% 1.19/0.64 % (1234490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234490)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234490)Termination reason: Instruction limit
% 1.19/0.64 % (1234490)Termination phase: shuffling
% 1.19/0.64 % (1234490)Time elapsed: 0.004 s
% 1.19/0.64 % (1234490)Peak memory usage: 10 MB
% 1.19/0.64 % (1234490)Instructions burned: 7 (million)
% 1.19/0.64 % (1234494)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.19/0.64 % (1234494)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
% 1.19/0.64 % (1234489)lrs+10_16_si=on:nwc=1.5:random_seed=1125931061:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.19/0.64 % (1234488)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2692849203:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.19/0.64 % (1234492)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3814349166:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.19/0.64 % (1234493)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1935899805:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.19/0.64 % (1234491)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=2702067443: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)
% 1.19/0.64 % (1234494)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=4085721803:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.19/0.64 % (1234489)Instruction limit reached!
% 1.19/0.64 % (1234489)------------------------------
% 1.19/0.64 % (1234489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234489)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234489)Termination reason: Instruction limit
% 1.19/0.64 % (1234489)Termination phase: shuffling
% 1.19/0.64 % (1234489)Time elapsed: 0.016 s
% 1.19/0.64 % (1234489)Peak memory usage: 10 MB
% 1.19/0.64 % (1234489)Instructions burned: 18 (million)
% 1.19/0.64 % (1234492)Instruction limit reached!
% 1.19/0.64 % (1234492)------------------------------
% 1.19/0.64 % (1234492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234492)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234492)Termination reason: Instruction limit
% 1.19/0.64 % (1234492)Termination phase: Property scanning
% 1.19/0.64 % (1234492)Time elapsed: 0.021 s
% 1.19/0.64 % (1234492)Peak memory usage: 11 MB
% 1.19/0.64 % (1234492)Instructions burned: 24 (million)
% 1.19/0.64 % (1234496)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=360293047:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.19/0.64 % (1234496)Instruction limit reached!
% 1.19/0.64 % (1234496)------------------------------
% 1.19/0.64 % (1234496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234496)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234496)Termination reason: Instruction limit
% 1.19/0.64 % (1234496)Termination phase: shuffling
% 1.19/0.64 % (1234496)Time elapsed: 0.002 s
% 1.19/0.64 % (1234496)Peak memory usage: 10 MB
% 1.19/0.64 % (1234496)Instructions burned: 4 (million)
% 1.19/0.64 % (1234504)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.19/0.64 % (1234504)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=450772829:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.19/0.64 % (1234506)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2470777947:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.19/0.64 % (1234503)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2306870005:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.19/0.64 % (1234504)Instruction limit reached!
% 1.19/0.64 % (1234504)------------------------------
% 1.19/0.64 % (1234504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234504)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234504)Termination reason: Instruction limit
% 1.19/0.64 % (1234504)Termination phase: shuffling
% 1.19/0.64 % (1234504)Time elapsed: 0.004 s
% 1.19/0.64 % (1234504)Peak memory usage: 10 MB
% 1.19/0.64 % (1234504)Instructions burned: 7 (million)
% 1.19/0.64 % (1234506)Instruction limit reached!
% 1.19/0.64 % (1234506)------------------------------
% 1.19/0.64 % (1234506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234506)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234506)Termination reason: Instruction limit
% 1.19/0.64 % (1234506)Termination phase: shuffling
% 1.19/0.64 % (1234506)Time elapsed: 0.006 s
% 1.19/0.64 % (1234506)Peak memory usage: 10 MB
% 1.19/0.64 % (1234506)Instructions burned: 13 (million)
% 1.19/0.64 % (1234503)Instruction limit reached!
% 1.19/0.64 % (1234503)------------------------------
% 1.19/0.64 % (1234503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234503)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234503)Termination reason: Instruction limit
% 1.19/0.64 % (1234503)Termination phase: shuffling
% 1.19/0.64 % (1234503)Time elapsed: 0.007 s
% 1.19/0.64 % (1234503)Peak memory usage: 10 MB
% 1.19/0.64 % (1234503)Instructions burned: 8 (million)
% 1.19/0.64 % (1234493)Instruction limit reached!
% 1.19/0.64 % (1234493)------------------------------
% 1.19/0.64 % (1234493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234493)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234493)Termination reason: Instruction limit
% 1.19/0.64 % (1234493)Termination phase: Property scanning
% 1.19/0.64 % (1234493)Time elapsed: 0.062 s
% 1.19/0.64 % (1234493)Peak memory usage: 12 MB
% 1.19/0.64 % (1234493)Instructions burned: 75 (million)
% 1.19/0.64 % (1234511)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=611000542:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.19/0.64 % (1234488)Instruction limit reached!
% 1.19/0.64 % (1234488)------------------------------
% 1.19/0.64 % (1234488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234488)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234488)Termination reason: Instruction limit
% 1.19/0.64 % (1234488)Termination phase: Property scanning
% 1.19/0.64 % (1234488)Time elapsed: 0.073 s
% 1.19/0.64 % (1234488)Peak memory usage: 12 MB
% 1.19/0.64 % (1234488)Instructions burned: 88 (million)
% 1.19/0.64 % (1234510)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
% 1.19/0.64 % (1234510)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.19/0.64 % (1234510)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1368521980:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.19/0.64 % (1234512)lrs+10_1_si=on:cs=on:random_seed=765907109:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.19/0.64 % (1234513)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.19/0.64 % (1234512)Instruction limit reached!
% 1.19/0.64 % (1234512)------------------------------
% 1.19/0.64 % (1234512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234512)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234512)Termination reason: Instruction limit
% 1.19/0.64 % (1234512)Termination phase: shuffling
% 1.19/0.64 % (1234512)Time elapsed: 0.008 s
% 1.19/0.64 % (1234512)Peak memory usage: 10 MB
% 1.19/0.64 % (1234512)Instructions burned: 9 (million)
% 1.19/0.64 % (1234513)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=248593059:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.19/0.64 % (1234513)Instruction limit reached!
% 1.19/0.64 % (1234513)------------------------------
% 1.19/0.64 % (1234513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234513)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234513)Termination reason: Instruction limit
% 1.19/0.64 % (1234513)Termination phase: shuffling
% 1.19/0.64 % (1234513)Time elapsed: 0.003 s
% 1.19/0.64 % (1234513)Peak memory usage: 10 MB
% 1.19/0.64 % (1234513)Instructions burned: 2 (million)
% 1.19/0.64 % (1234510)Instruction limit reached!
% 1.19/0.64 % (1234510)------------------------------
% 1.19/0.64 % (1234510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234510)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234510)Termination reason: Instruction limit
% 1.19/0.64 % (1234510)Termination phase: shuffling
% 1.19/0.64 % (1234510)Time elapsed: 0.025 s
% 1.19/0.64 % (1234510)Peak memory usage: 11 MB
% 1.19/0.64 % (1234510)Instructions burned: 29 (million)
% 1.19/0.64 % (1234511)Instruction limit reached!
% 1.19/0.64 % (1234511)------------------------------
% 1.19/0.64 % (1234511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234511)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234511)Termination reason: Instruction limit
% 1.19/0.64 % (1234511)Termination phase: Property scanning
% 1.19/0.64 % (1234511)Time elapsed: 0.037 s
% 1.19/0.64 % (1234511)Peak memory usage: 11 MB
% 1.19/0.64 % (1234511)Instructions burned: 87 (million)
% 1.19/0.64 % (1234515)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2621875322:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.19/0.64 % (1234518)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=472345180:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.19/0.64 % (1234491) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1234483-1234491"...
% 1.19/0.64 % (1234491)...printing done.
% 1.19/0.64 % (1234523)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3153211144:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.19/0.64 % (1234491)Refutation found. Thanks to Tanya!
% 1.19/0.64 % SZS status Theorem for theBenchmark
% 1.19/0.64 % SZS output start Proof for theBenchmark
% 1.19/0.64 thf(type_def_5, type, set_Pr1475944804lle_fm: $tType).
% 1.19/0.64 thf(type_def_6, type, produc1250255278lle_fm: $tType).
% 1.19/0.64 thf(type_def_7, type, set_Pr2012908090lle_tv: $tType).
% 1.19/0.64 thf(type_def_8, type, set_Pr698334450lle_tv: $tType).
% 1.19/0.64 thf(type_def_9, type, produc1720769084lle_tv: $tType).
% 1.19/0.64 thf(type_def_10, type, set_Pr2061825550lle_tv: $tType).
% 1.19/0.64 thf(type_def_11, type, set_Pr1943077434tv_nat: $tType).
% 1.19/0.64 thf(type_def_12, type, set_Pr292927124lle_tv: $tType).
% 1.19/0.64 thf(type_def_13, type, produc1852595672lle_tv: $tType).
% 1.19/0.64 thf(type_def_14, type, set_Pr1723822845lle_tv: $tType).
% 1.19/0.64 thf(type_def_15, type, set_Pr2120184979lle_fm: $tType).
% 1.19/0.64 thf(type_def_16, type, produc1443694919lle_tv: $tType).
% 1.19/0.64 thf(type_def_17, type, produc696645085lle_fm: $tType).
% 1.19/0.64 thf(type_def_18, type, set_Pr1490359111at_nat: $tType).
% 1.19/0.64 thf(type_def_19, type, set_Pr2014382200lle_tv: $tType).
% 1.19/0.64 thf(type_def_20, type, set_Pr1019238018lle_fm: $tType).
% 1.19/0.64 thf(type_def_21, type, set_Pr840833727at_nat: $tType).
% 1.19/0.64 thf(type_def_22, type, set_Pr560526279lle_tv: $tType).
% 1.19/0.64 thf(type_def_23, type, produc1647334210lle_tv: $tType).
% 1.19/0.64 thf(type_def_24, type, produc450659916lle_fm: $tType).
% 1.19/0.64 thf(type_def_25, type, set_Pr1357842111at_nat: $tType).
% 1.19/0.64 thf(type_def_26, type, produc596913417at_nat: $tType).
% 1.19/0.64 thf(type_def_27, type, produc931990033lle_tv: $tType).
% 1.19/0.64 thf(type_def_28, type, set_Pr1725653840tv_nat: $tType).
% 1.19/0.64 thf(type_def_29, type, set_Pr13445366lle_tv: $tType).
% 1.19/0.64 thf(type_def_30, type, produc1281043295at_nat: $tType).
% 1.19/0.64 thf(type_def_31, type, produc194167194tv_nat: $tType).
% 1.19/0.64 thf(type_def_32, type, produc270694976lle_tv: $tType).
% 1.19/0.64 thf(type_def_33, type, set_Pr1986765409at_nat: $tType).
% 1.19/0.64 thf(type_def_34, type, set_Pa1764573435lle_tv: $tType).
% 1.19/0.64 thf(type_def_35, type, product_prod_nat_nat: $tType).
% 1.19/0.64 thf(type_def_36, type, paraco1605129243lle_tv: $tType).
% 1.19/0.64 thf(type_def_37, type, paraco1604210848lle_fm: $tType).
% 1.19/0.64 thf(type_def_38, type, list_char: $tType).
% 1.19/0.64 thf(type_def_39, type, set_nat: $tType).
% 1.19/0.64 thf(type_def_40, type, nat: $tType).
% 1.19/0.64 thf(type_def_41, type, sTfun: ($tType * $tType) > $tType).
% 1.19/0.64 thf(func_def_0, type, inj_on_nat_nat: ((nat > nat) > set_nat > $o)).
% 1.19/0.64 thf(func_def_1, type, inj_on1955349912lle_tv: ((nat > paraco1605129243lle_tv) > set_nat > $o)).
% 1.19/0.64 thf(func_def_2, type, inj_on1179712058tv_nat: ((paraco1605129243lle_tv > nat) > set_Pa1764573435lle_tv > $o)).
% 1.19/0.64 thf(func_def_3, type, inj_on772319074lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > $o)).
% 1.19/0.64 thf(func_def_4, type, inj_on26176689at_nat: ((product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > $o)).
% 1.19/0.64 thf(func_def_5, type, inj_on1745913142lle_tv: ((produc270694976lle_tv > produc270694976lle_tv) > set_Pr13445366lle_tv > $o)).
% 1.19/0.64 thf(func_def_6, type, inj_on552895452tv_nat: ((produc194167194tv_nat > produc194167194tv_nat) > set_Pr1725653840tv_nat > $o)).
% 1.19/0.64 thf(func_def_7, type, inj_on2112487900lle_tv: ((produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > $o)).
% 1.19/0.64 thf(func_def_8, type, the_inv_into_nat_nat: (set_nat > (nat > nat) > nat > nat)).
% 1.19/0.64 thf(func_def_9, type, the_in452116896lle_tv: (set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_10, type, if_Par1134130401lle_tv: ($o > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_11, type, ord_less_eq_set_nat: (set_nat > set_nat > $o)).
% 1.19/0.64 thf(func_def_12, type, ord_le241064091lle_tv: (set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o)).
% 1.19/0.64 thf(func_def_13, type, top_top_nat_o: (nat > $o)).
% 1.19/0.64 thf(func_def_14, type, top_to1299250770e_tv_o: (paraco1605129243lle_tv > $o)).
% 1.19/0.64 thf(func_def_15, type, top_to632227436_nat_o: (product_prod_nat_nat > $o)).
% 1.19/0.64 thf(func_def_16, type, top_to1889334367e_tv_o: (produc270694976lle_tv > $o)).
% 1.19/0.64 thf(func_def_17, type, top_to900819589_nat_o: (produc194167194tv_nat > $o)).
% 1.19/0.64 thf(func_def_18, type, top_top_o: $o).
% 1.19/0.64 thf(func_def_19, type, top_top_set_nat: set_nat).
% 1.19/0.64 thf(func_def_20, type, top_to1057771083lle_tv: set_Pa1764573435lle_tv).
% 1.19/0.64 thf(func_def_21, type, top_to138697918lle_tv: set_Pr2061825550lle_tv).
% 1.19/0.64 thf(func_def_22, type, top_to775056195lle_fm: set_Pr2120184979lle_fm).
% 1.19/0.64 thf(func_def_23, type, top_to1541413903at_nat: set_Pr1357842111at_nat).
% 1.19/0.64 thf(func_def_24, type, top_to449985143lle_tv: set_Pr560526279lle_tv).
% 1.19/0.64 thf(func_def_25, type, top_to1555900337at_nat: set_Pr1986765409at_nat).
% 1.19/0.64 thf(func_def_26, type, top_to1411004326lle_tv: set_Pr13445366lle_tv).
% 1.19/0.64 thf(func_def_27, type, top_to975729152tv_nat: set_Pr1725653840tv_nat).
% 1.19/0.64 thf(func_def_28, type, top_to1871154984lle_tv: set_Pr2014382200lle_tv).
% 1.19/0.64 thf(func_def_29, type, paraco761681009ge_int: ((nat > nat) > (list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_30, type, paraco1147068288nge_tv: ((nat > nat) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_31, type, paraco1632582009tv_rel: (produc931990033lle_tv > produc931990033lle_tv > $o)).
% 1.19/0.64 thf(func_def_32, type, paraco1325918602e_eval: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_33, type, paraco69239110le_Con: (paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_34, type, paraco1389086619le_Eql: (paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_35, type, paraco1745535428le_Eql: (paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_36, type, paraco445776468le_Neg: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_37, type, paraco1480028776le_Pro: (list_char > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_38, type, paraco367965286_Truth: paraco1604210848lle_fm).
% 1.19/0.64 thf(func_def_39, type, paraco1344940915le_Det: ($o > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_40, type, paraco793048302_Indet: (nat > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_41, type, paraco2051596139lle_tv: (($o > paraco1605129243lle_tv) > (nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_42, type, paraco327635598_valid: (paraco1604210848lle_fm > $o)).
% 1.19/0.64 thf(func_def_43, type, paraco55203475lid_in: (set_nat > paraco1604210848lle_fm > $o)).
% 1.19/0.64 thf(func_def_44, type, produc1297923922lle_tv: ((list_char > paraco1605129243lle_tv) > (list_char > paraco1605129243lle_tv) > produc1852595672lle_tv)).
% 1.19/0.64 thf(func_def_45, type, produc1710735575lle_fm: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm)).
% 1.19/0.64 thf(func_def_46, type, produc780837143at_nat: ((nat > nat) > (nat > nat) > produc1281043295at_nat)).
% 1.19/0.64 thf(func_def_47, type, produc1680557635lle_tv: ((nat > nat) > paraco1605129243lle_tv > produc931990033lle_tv)).
% 1.19/0.64 thf(func_def_48, type, produc1943344577lle_tv: (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc1443694919lle_tv)).
% 1.19/0.64 thf(func_def_49, type, produc1126104134lle_fm: (paraco1604210848lle_fm > paraco1604210848lle_fm > produc450659916lle_fm)).
% 1.19/0.64 thf(func_def_50, type, produc1633679363at_nat: (paraco1605129243lle_tv > (nat > nat) > produc596913417at_nat)).
% 1.19/0.64 thf(func_def_51, type, produc2058540732lle_tv: (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv)).
% 1.19/0.64 thf(func_def_52, type, produc407632608lle_fm: (produc696645085lle_fm > produc696645085lle_fm > produc1250255278lle_fm)).
% 1.19/0.64 thf(func_def_53, type, produc2057188974lle_tv: (produc931990033lle_tv > produc931990033lle_tv > produc1720769084lle_tv)).
% 1.19/0.64 thf(func_def_54, type, produc1942165868lle_fm: (((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > produc696645085lle_fm > produc696645085lle_fm)).
% 1.19/0.64 thf(func_def_55, type, produc939316703lle_tv: (((nat > nat) > nat > nat) > produc931990033lle_tv > produc931990033lle_tv)).
% 1.19/0.64 thf(func_def_56, type, produc1807466521lle_tv: ((paraco1604210848lle_fm > paraco1604210848lle_fm) > produc696645085lle_fm > produc696645085lle_fm)).
% 1.19/0.64 thf(func_def_57, type, produc109093078at_nat: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > produc931990033lle_tv > produc931990033lle_tv)).
% 1.19/0.64 thf(func_def_58, type, produc234482697lle_tv: (paraco1605129243lle_tv > paraco1605129243lle_tv > $o > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_59, type, produc275353523e_fm_o: ((produc696645085lle_fm > $o) > (list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o)).
% 1.19/0.64 thf(func_def_60, type, produc752649287e_tv_o: ((produc931990033lle_tv > $o) > (nat > nat) > paraco1605129243lle_tv > $o)).
% 1.19/0.64 thf(func_def_61, type, produc1900967599lle_fm: (((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > (paraco1604210848lle_fm > paraco1604210848lle_fm) > produc696645085lle_fm > produc696645085lle_fm)).
% 1.19/0.64 thf(func_def_62, type, produc1566550641lle_tv: (((list_char > paraco1605129243lle_tv) > nat > nat) > (paraco1604210848lle_fm > paraco1605129243lle_tv) > produc696645085lle_fm > produc931990033lle_tv)).
% 1.19/0.64 thf(func_def_63, type, produc951033137lle_fm: (((nat > nat) > list_char > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1604210848lle_fm) > produc931990033lle_tv > produc696645085lle_fm)).
% 1.19/0.64 thf(func_def_64, type, produc532909085lle_tv: (((nat > nat) > nat > nat) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc931990033lle_tv > produc931990033lle_tv)).
% 1.19/0.64 thf(func_def_65, type, produc505105722at_nat: ((nat > nat) > (nat > nat) > product_prod_nat_nat > product_prod_nat_nat)).
% 1.19/0.64 thf(func_def_66, type, produc313957681lle_tv: ((nat > nat) > (nat > paraco1605129243lle_tv) > product_prod_nat_nat > produc270694976lle_tv)).
% 1.19/0.64 thf(func_def_67, type, produc1685803475tv_nat: ((nat > nat) > (paraco1605129243lle_tv > nat) > produc270694976lle_tv > product_prod_nat_nat)).
% 1.19/0.64 thf(func_def_68, type, produc2101297531lle_tv: ((nat > nat) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc270694976lle_tv > produc270694976lle_tv)).
% 1.19/0.64 thf(func_def_69, type, produc1250721397at_nat: ((nat > paraco1605129243lle_tv) > (nat > nat) > product_prod_nat_nat > produc194167194tv_nat)).
% 1.19/0.64 thf(func_def_70, type, produc210389789lle_tv: ((nat > paraco1605129243lle_tv) > (nat > paraco1605129243lle_tv) > product_prod_nat_nat > produc1647334210lle_tv)).
% 1.19/0.64 thf(func_def_71, type, produc189459613tv_nat: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > nat) > produc270694976lle_tv > produc194167194tv_nat)).
% 1.19/0.64 thf(func_def_72, type, produc1975500101lle_tv: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc270694976lle_tv > produc1647334210lle_tv)).
% 1.19/0.64 thf(func_def_73, type, produc386540311at_nat: ((paraco1605129243lle_tv > nat) > (nat > nat) > produc194167194tv_nat > product_prod_nat_nat)).
% 1.19/0.64 thf(func_def_74, type, produc72207551lle_tv: ((paraco1605129243lle_tv > nat) > (nat > paraco1605129243lle_tv) > produc194167194tv_nat > produc270694976lle_tv)).
% 1.19/0.64 thf(func_def_75, type, produc42536895at_nat: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (nat > nat) > produc194167194tv_nat > produc194167194tv_nat)).
% 1.19/0.64 thf(func_def_76, type, produc1345917071lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > produc1647334210lle_tv)).
% 1.19/0.64 thf(func_def_77, type, produc29804011lle_fm: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_78, type, produc1636169559lle_tv: (produc931990033lle_tv > nat > nat)).
% 1.19/0.64 thf(func_def_79, type, produc262413013lle_tv: (produc1443694919lle_tv > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_80, type, produc1589291287at_nat: (produc596913417at_nat > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_81, type, produc148705065lle_fm: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_82, type, produc547496597lle_tv: (produc931990033lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_83, type, produc381314067lle_tv: (produc1443694919lle_tv > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_84, type, produc500618325at_nat: (produc596913417at_nat > nat > nat)).
% 1.19/0.64 thf(func_def_85, type, produc1000205111lle_fm: (produc696645085lle_fm > produc1443694919lle_tv)).
% 1.19/0.64 thf(func_def_86, type, produc225513635lle_tv: (produc931990033lle_tv > produc596913417at_nat)).
% 1.19/0.64 thf(func_def_87, type, produc1232814113lle_tv: (produc1443694919lle_tv > produc696645085lle_fm)).
% 1.19/0.64 thf(func_def_88, type, produc178635363at_nat: (produc596913417at_nat > produc931990033lle_tv)).
% 1.19/0.64 thf(func_def_89, type, inv_image_nat_nat: (set_Pr1986765409at_nat > (nat > nat) > set_Pr1986765409at_nat)).
% 1.19/0.64 thf(func_def_90, type, inv_im1292588663lle_tv: (set_Pr1986765409at_nat > (paraco1605129243lle_tv > nat) > set_Pr2014382200lle_tv)).
% 1.19/0.64 thf(func_def_91, type, inv_im516950809tv_nat: (set_Pr2014382200lle_tv > (nat > paraco1605129243lle_tv) > set_Pr1986765409at_nat)).
% 1.19/0.64 thf(func_def_92, type, inv_im719552961lle_tv: (set_Pr2014382200lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pr2014382200lle_tv)).
% 1.19/0.64 thf(func_def_93, type, total_on_nat: (set_nat > set_Pr1986765409at_nat > $o)).
% 1.19/0.64 thf(func_def_94, type, total_1781621663lle_tv: (set_Pa1764573435lle_tv > set_Pr2014382200lle_tv > $o)).
% 1.19/0.64 thf(func_def_95, type, total_1775715973at_nat: (set_Pr1986765409at_nat > set_Pr1490359111at_nat > $o)).
% 1.19/0.64 thf(func_def_96, type, total_517371324lle_tv: (set_Pr13445366lle_tv > set_Pr292927124lle_tv > $o)).
% 1.19/0.64 thf(func_def_97, type, total_440843542tv_nat: (set_Pr1725653840tv_nat > set_Pr1943077434tv_nat > $o)).
% 1.19/0.64 thf(func_def_98, type, total_92239038lle_tv: (set_Pr2014382200lle_tv > set_Pr2012908090lle_tv > $o)).
% 1.19/0.64 thf(func_def_99, type, collect_nat: ((nat > $o) > set_nat)).
% 1.19/0.64 thf(func_def_100, type, collec1111687558lle_tv: ((paraco1605129243lle_tv > $o) > set_Pa1764573435lle_tv)).
% 1.19/0.64 thf(func_def_101, type, collec1102043437lle_tv: ((produc1852595672lle_tv > $o) > set_Pr2061825550lle_tv)).
% 1.19/0.64 thf(func_def_102, type, collec835549234lle_fm: ((produc696645085lle_fm > $o) > set_Pr2120184979lle_fm)).
% 1.19/0.64 thf(func_def_103, type, collec791369802at_nat: ((produc1281043295at_nat > $o) > set_Pr1357842111at_nat)).
% 1.19/0.64 thf(func_def_104, type, collec1624074086lle_tv: ((produc931990033lle_tv > $o) > set_Pr560526279lle_tv)).
% 1.19/0.64 thf(func_def_105, type, collec7649004at_nat: ((product_prod_nat_nat > $o) > set_Pr1986765409at_nat)).
% 1.19/0.64 thf(func_def_106, type, collec924990229lle_tv: ((produc270694976lle_tv > $o) > set_Pr13445366lle_tv)).
% 1.19/0.64 thf(func_def_107, type, collec848462447tv_nat: ((produc194167194tv_nat > $o) > set_Pr1725653840tv_nat)).
% 1.19/0.64 thf(func_def_108, type, image_nat_nat: ((nat > nat) > set_nat > set_nat)).
% 1.19/0.64 thf(func_def_109, type, image_1151963140lle_tv: ((nat > paraco1605129243lle_tv) > set_nat > set_Pa1764573435lle_tv)).
% 1.19/0.64 thf(func_def_110, type, image_376325286tv_nat: ((paraco1605129243lle_tv > nat) > set_Pa1764573435lle_tv > set_nat)).
% 1.19/0.64 thf(func_def_111, type, image_335818702lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv)).
% 1.19/0.64 thf(func_def_112, type, image_807538418lle_fm: ((produc696645085lle_fm > produc696645085lle_fm) > set_Pr2120184979lle_fm > set_Pr2120184979lle_fm)).
% 1.19/0.64 thf(func_def_113, type, image_1154804148lle_tv: ((produc696645085lle_fm > produc931990033lle_tv) > set_Pr2120184979lle_fm > set_Pr560526279lle_tv)).
% 1.19/0.64 thf(func_def_114, type, image_924970994lle_tv: ((produc696645085lle_fm > produc1443694919lle_tv) > set_Pr2120184979lle_fm > set_Pr1723822845lle_tv)).
% 1.19/0.64 thf(func_def_115, type, image_1585092542lle_fm: ((produc931990033lle_tv > produc696645085lle_fm) > set_Pr560526279lle_tv > set_Pr2120184979lle_fm)).
% 1.19/0.64 thf(func_def_116, type, image_1751508608lle_tv: ((produc931990033lle_tv > produc931990033lle_tv) > set_Pr560526279lle_tv > set_Pr560526279lle_tv)).
% 1.19/0.64 thf(func_def_117, type, image_1724396928at_nat: ((produc931990033lle_tv > produc596913417at_nat) > set_Pr560526279lle_tv > set_Pr840833727at_nat)).
% 1.19/0.64 thf(func_def_118, type, image_815163717at_nat: ((product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > set_Pr1986765409at_nat)).
% 1.19/0.64 thf(func_def_119, type, image_1674248956lle_tv: ((product_prod_nat_nat > produc270694976lle_tv) > set_Pr1986765409at_nat > set_Pr13445366lle_tv)).
% 1.19/0.64 thf(func_def_120, type, image_1597721174tv_nat: ((product_prod_nat_nat > produc194167194tv_nat) > set_Pr1986765409at_nat > set_Pr1725653840tv_nat)).
% 1.19/0.64 thf(func_def_121, type, image_1507992062lle_tv: ((product_prod_nat_nat > produc1647334210lle_tv) > set_Pr1986765409at_nat > set_Pr2014382200lle_tv)).
% 1.19/0.64 thf(func_def_122, type, image_1787705850at_nat: ((produc270694976lle_tv > product_prod_nat_nat) > set_Pr13445366lle_tv > set_Pr1986765409at_nat)).
% 1.19/0.64 thf(func_def_123, type, image_149830562lle_tv: ((produc270694976lle_tv > produc270694976lle_tv) > set_Pr13445366lle_tv > set_Pr13445366lle_tv)).
% 1.19/0.64 thf(func_def_124, type, image_53754658tv_nat: ((produc270694976lle_tv > produc194167194tv_nat) > set_Pr13445366lle_tv > set_Pr1725653840tv_nat)).
% 1.19/0.64 thf(func_def_125, type, image_988201162lle_tv: ((produc270694976lle_tv > produc1647334210lle_tv) > set_Pr13445366lle_tv > set_Pr2014382200lle_tv)).
% 1.19/0.64 thf(func_def_126, type, image_326034184lle_fm: ((produc1443694919lle_tv > produc696645085lle_fm) > set_Pr1723822845lle_tv > set_Pr2120184979lle_fm)).
% 1.19/0.64 thf(func_def_127, type, image_769496456lle_tv: ((produc596913417at_nat > produc931990033lle_tv) > set_Pr840833727at_nat > set_Pr560526279lle_tv)).
% 1.19/0.64 thf(func_def_128, type, image_1805124128at_nat: ((produc194167194tv_nat > product_prod_nat_nat) > set_Pr1725653840tv_nat > set_Pr1986765409at_nat)).
% 1.19/0.64 thf(func_def_129, type, image_1200372424lle_tv: ((produc194167194tv_nat > produc270694976lle_tv) > set_Pr1725653840tv_nat > set_Pr13445366lle_tv)).
% 1.19/0.64 thf(func_def_130, type, image_1221801032lle_tv: ((produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > set_Pr2014382200lle_tv)).
% 1.19/0.64 thf(func_def_131, type, accp_P2085826120lle_tv: ((produc931990033lle_tv > produc931990033lle_tv > $o) > produc931990033lle_tv > $o)).
% 1.19/0.64 thf(func_def_132, type, lex_pr2001015487lle_fm: (set_Pr2061825550lle_tv > set_Pr1019238018lle_fm > set_Pr1475944804lle_fm)).
% 1.19/0.64 thf(func_def_133, type, lex_pr1093414955lle_tv: (set_Pr1357842111at_nat > set_Pr2014382200lle_tv > set_Pr698334450lle_tv)).
% 1.19/0.64 thf(func_def_134, type, lex_prod_nat_nat: (set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1490359111at_nat)).
% 1.19/0.64 thf(func_def_135, type, lex_pr413684186lle_tv: (set_Pr1986765409at_nat > set_Pr2014382200lle_tv > set_Pr292927124lle_tv)).
% 1.19/0.64 thf(func_def_136, type, lex_pr1785529980tv_nat: (set_Pr2014382200lle_tv > set_Pr1986765409at_nat > set_Pr1943077434tv_nat)).
% 1.19/0.64 thf(func_def_137, type, lex_pr567812260lle_tv: (set_Pr2014382200lle_tv > set_Pr2014382200lle_tv > set_Pr2012908090lle_tv)).
% 1.19/0.64 thf(func_def_138, type, wf_nat: (set_Pr1986765409at_nat > $o)).
% 1.19/0.64 thf(func_def_139, type, wf_Par1378404612lle_tv: (set_Pr2014382200lle_tv > $o)).
% 1.19/0.64 thf(func_def_140, type, same_f1581085506lle_fm: (((list_char > paraco1605129243lle_tv) > $o) > ((list_char > paraco1605129243lle_tv) > set_Pr1019238018lle_fm) > set_Pr1475944804lle_fm)).
% 1.19/0.64 thf(func_def_141, type, same_f1138187694lle_tv: (((nat > nat) > $o) > ((nat > nat) > set_Pr2014382200lle_tv) > set_Pr698334450lle_tv)).
% 1.19/0.64 thf(func_def_142, type, member_nat: (nat > set_nat > $o)).
% 1.19/0.64 thf(func_def_143, type, member266900804lle_tv: (paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o)).
% 1.19/0.64 thf(func_def_144, type, member146333935lle_tv: (produc1852595672lle_tv > set_Pr2061825550lle_tv > $o)).
% 1.19/0.64 thf(func_def_145, type, member1474794996lle_fm: (produc696645085lle_fm > set_Pr2120184979lle_fm > $o)).
% 1.19/0.64 thf(func_def_146, type, member112824072at_nat: (produc1281043295at_nat > set_Pr1357842111at_nat > $o)).
% 1.19/0.64 thf(func_def_147, type, member1569366824lle_tv: (produc931990033lle_tv > set_Pr560526279lle_tv > $o)).
% 1.19/0.64 thf(func_def_148, type, member701585322at_nat: (product_prod_nat_nat > set_Pr1986765409at_nat > $o)).
% 1.19/0.64 thf(func_def_149, type, member813679063lle_tv: (produc270694976lle_tv > set_Pr13445366lle_tv > $o)).
% 1.19/0.64 thf(func_def_150, type, member74361182lle_tv: (produc1443694919lle_tv > set_Pr1723822845lle_tv > $o)).
% 1.19/0.64 thf(func_def_151, type, member334644067lle_fm: (produc450659916lle_fm > set_Pr1019238018lle_fm > $o)).
% 1.19/0.64 thf(func_def_152, type, member1234290208at_nat: (produc596913417at_nat > set_Pr840833727at_nat > $o)).
% 1.19/0.64 thf(func_def_153, type, member737151281tv_nat: (produc194167194tv_nat > set_Pr1725653840tv_nat > $o)).
% 1.19/0.64 thf(func_def_154, type, member1531318361lle_tv: (produc1647334210lle_tv > set_Pr2014382200lle_tv > $o)).
% 1.19/0.64 thf(func_def_155, type, member1592865093lle_fm: (produc1250255278lle_fm > set_Pr1475944804lle_fm > $o)).
% 1.19/0.64 thf(func_def_156, type, member1339857875lle_tv: (produc1720769084lle_tv > set_Pr698334450lle_tv > $o)).
% 1.19/0.64 thf(func_def_157, type, f: (nat > nat)).
% 1.19/0.64 thf(func_def_158, type, i: (list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_159, type, p1: paraco1604210848lle_fm).
% 1.19/0.64 thf(func_def_160, type, p2: paraco1604210848lle_fm).
% 1.19/0.64 thf(func_def_164, type, db0: !>[X0: $tType]:(X0)).
% 1.19/0.64 thf(func_def_165, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.19/0.64 thf(func_def_166, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.19/0.64 thf(func_def_167, type, db1: !>[X0: $tType]:(X0)).
% 1.19/0.64 thf(func_def_168, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.19/0.64 thf(func_def_169, type, vIMP: ($o > $o > $o)).
% 1.19/0.64 thf(func_def_170, type, db2: !>[X0: $tType]:(X0)).
% 1.19/0.64 thf(func_def_171, type, db3: !>[X0: $tType]:(X0)).
% 1.19/0.64 thf(func_def_172, type, sP0: ((paraco1604210848lle_fm > $o) > $o)).
% 1.19/0.64 thf(func_def_173, type, sP1: ((paraco1604210848lle_fm > $o) > $o)).
% 1.19/0.64 thf(func_def_174, type, sP2: ((paraco1604210848lle_fm > $o) > $o)).
% 1.19/0.64 thf(func_def_175, type, sP3: ((paraco1604210848lle_fm > $o) > $o)).
% 1.19/0.64 thf(func_def_176, type, sK4: ((paraco1605129243lle_tv > $o) > nat)).
% 1.19/0.64 thf(func_def_177, type, sK5: ((paraco1605129243lle_tv > $o) > $o)).
% 1.19/0.64 thf(func_def_178, type, sK6: ((nat > nat) > nat)).
% 1.19/0.64 thf(func_def_179, type, sK7: (nat > (nat > nat) > nat)).
% 1.19/0.64 thf(func_def_180, type, sK8: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_181, type, sK9: (produc696645085lle_fm > set_Pr2120184979lle_fm > ((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > (paraco1604210848lle_fm > paraco1604210848lle_fm) > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_182, type, sK10: (produc696645085lle_fm > set_Pr2120184979lle_fm > ((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > (paraco1604210848lle_fm > paraco1604210848lle_fm) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_183, type, sK11: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_184, type, sK12: (set_Pr1986765409at_nat > product_prod_nat_nat)).
% 1.19/0.64 thf(func_def_185, type, sK13: produc270694976lle_tv).
% 1.19/0.64 thf(func_def_186, type, sK14: ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
% 1.19/0.64 thf(func_def_187, type, sK15: ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
% 1.19/0.64 thf(func_def_188, type, sK16: (set_nat > nat)).
% 1.19/0.64 thf(func_def_189, type, sK17: (nat > (nat > nat) > nat)).
% 1.19/0.64 thf(func_def_190, type, sK18: (nat > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_191, type, sK19: ((produc696645085lle_fm > $o) > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_192, type, sK20: ((produc696645085lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_193, type, sK21: (paraco1605129243lle_tv > paraco1605129243lle_tv > (nat > nat) > $o)).
% 1.19/0.64 thf(func_def_194, type, sK22: (paraco1605129243lle_tv > paraco1605129243lle_tv > (nat > nat) > nat)).
% 1.19/0.64 thf(func_def_195, type, sK23: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_196, type, sK24: ((paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > $o) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_197, type, sK25: ((nat > paraco1605129243lle_tv) > nat)).
% 1.19/0.64 thf(func_def_198, type, sK26: ((nat > paraco1605129243lle_tv) > nat)).
% 1.19/0.64 thf(func_def_199, type, sK27: ((nat > nat) > set_nat > (nat > nat) > nat)).
% 1.19/0.64 thf(func_def_200, type, sK28: ((produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 1.19/0.64 thf(func_def_201, type, sK29: ((produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 1.19/0.64 thf(func_def_202, type, sK30: (paraco1605129243lle_tv > $o)).
% 1.19/0.64 thf(func_def_203, type, sK31: (paraco1605129243lle_tv > nat)).
% 1.19/0.64 thf(func_def_204, type, sK32: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_205, type, sK33: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_206, type, sK34: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_207, type, sK35: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_208, type, sK36: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_209, type, sK37: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_210, type, sK38: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_211, type, sK39: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_212, type, sK40: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_213, type, sK41: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_214, type, sK42: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_215, type, sK43: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_216, type, sK44: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_217, type, sK45: (produc696645085lle_fm > list_char)).
% 1.19/0.64 thf(func_def_218, type, sK46: ((nat > nat) > set_nat > nat)).
% 1.19/0.64 thf(func_def_219, type, sK47: ((nat > nat) > set_nat > nat)).
% 1.19/0.64 thf(func_def_220, type, sK48: produc1281043295at_nat).
% 1.19/0.64 thf(func_def_221, type, sK49: ((produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 1.19/0.64 thf(func_def_222, type, sK50: ((produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 1.19/0.64 thf(func_def_223, type, sK51: ((produc696645085lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_224, type, sK52: ((produc696645085lle_fm > $o) > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_225, type, sK53: ((produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
% 1.19/0.64 thf(func_def_226, type, sK54: ((produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
% 1.19/0.64 thf(func_def_227, type, sK55: ((nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > nat)).
% 1.19/0.64 thf(func_def_228, type, sK56: ((paraco1605129243lle_tv > nat) > nat)).
% 1.19/0.64 thf(func_def_229, type, sK57: (nat > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_230, type, sK58: ((nat > nat) > produc931990033lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_231, type, sK59: ((nat > nat) > (nat > nat) > nat)).
% 1.19/0.64 thf(func_def_232, type, sK60: ((produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > (produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 1.19/0.64 thf(func_def_233, type, sK61: ((produc931990033lle_tv > $o) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_234, type, sK62: ((produc931990033lle_tv > $o) > nat > nat)).
% 1.19/0.64 thf(func_def_235, type, sK63: (nat > (nat > nat) > nat > nat)).
% 1.19/0.64 thf(func_def_236, type, sK64: ((nat > nat) > nat > nat)).
% 1.19/0.64 thf(func_def_237, type, sK65: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_238, type, sK66: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_239, type, sK67: ((nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > nat)).
% 1.19/0.64 thf(func_def_240, type, sK68: ((nat > paraco1605129243lle_tv) > nat)).
% 1.19/0.64 thf(func_def_241, type, sK69: ((nat > paraco1605129243lle_tv) > nat)).
% 1.19/0.64 thf(func_def_242, type, sK70: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_243, type, sK71: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_244, type, sK72: paraco1605129243lle_tv).
% 1.19/0.64 thf(func_def_245, type, sK73: ((nat > $o) > (nat > $o) > nat)).
% 1.19/0.64 thf(func_def_246, type, sK74: (set_Pr2061825550lle_tv > produc1852595672lle_tv)).
% 1.19/0.64 thf(func_def_247, type, sK75: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_248, type, sK76: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_249, type, sK77: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_250, type, sK78: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_251, type, sK79: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_252, type, sK80: (paraco1604210848lle_fm > list_char)).
% 1.19/0.64 thf(func_def_253, type, sK81: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_254, type, sK82: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_255, type, sK83: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_256, type, sK84: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_257, type, sK85: (set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_258, type, sK86: ((produc1647334210lle_tv > produc1647334210lle_tv) > (produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > produc1647334210lle_tv)).
% 1.19/0.64 thf(func_def_259, type, sK87: nat).
% 1.19/0.64 thf(func_def_260, type, sK88: (produc931990033lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_261, type, sK89: (produc931990033lle_tv > nat > nat)).
% 1.19/0.64 thf(func_def_262, type, sK90: (produc931990033lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_263, type, sK91: (produc931990033lle_tv > nat > nat)).
% 1.19/0.64 thf(func_def_264, type, sK92: (set_Pr560526279lle_tv > produc931990033lle_tv)).
% 1.19/0.64 thf(func_def_265, type, sK93: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_266, type, sK94: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_267, type, sK95: (set_Pr1986765409at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
% 1.19/0.64 thf(func_def_268, type, sK96: (((nat > nat) > paraco1605129243lle_tv > $o) > $o)).
% 1.19/0.64 thf(func_def_269, type, sK97: (((nat > nat) > paraco1605129243lle_tv > $o) > nat > nat)).
% 1.19/0.64 thf(func_def_270, type, sK98: (((nat > nat) > paraco1605129243lle_tv > $o) > nat > nat)).
% 1.19/0.64 thf(func_def_271, type, sK99: (((nat > nat) > paraco1605129243lle_tv > $o) > nat)).
% 1.19/0.64 thf(func_def_272, type, sK100: (produc696645085lle_fm > ((nat > nat) > list_char > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1604210848lle_fm) > set_Pr560526279lle_tv > nat > nat)).
% 1.19/0.64 thf(func_def_273, type, sK101: (produc696645085lle_fm > ((nat > nat) > list_char > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1604210848lle_fm) > set_Pr560526279lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_274, type, sK102: (set_Pr13445366lle_tv > (produc270694976lle_tv > produc270694976lle_tv) > (produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 1.19/0.64 thf(func_def_275, type, sK103: ((paraco1604210848lle_fm > paraco1605129243lle_tv) > produc931990033lle_tv > set_Pr2120184979lle_fm > ((list_char > paraco1605129243lle_tv) > nat > nat) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_276, type, sK104: ((paraco1604210848lle_fm > paraco1605129243lle_tv) > produc931990033lle_tv > set_Pr2120184979lle_fm > ((list_char > paraco1605129243lle_tv) > nat > nat) > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_277, type, sK105: ((produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 1.19/0.64 thf(func_def_278, type, sK106: ((produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 1.19/0.64 thf(func_def_279, type, sK107: ((produc931990033lle_tv > $o) > nat > nat)).
% 1.19/0.64 thf(func_def_280, type, sK108: ((produc931990033lle_tv > $o) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_281, type, sK109: (produc931990033lle_tv > nat)).
% 1.19/0.64 thf(func_def_282, type, sK110: (produc931990033lle_tv > nat > nat)).
% 1.19/0.64 thf(func_def_283, type, sK111: (produc931990033lle_tv > $o)).
% 1.19/0.64 thf(func_def_284, type, sK112: (produc931990033lle_tv > nat > nat)).
% 1.19/0.64 thf(func_def_285, type, sK113: ((nat > paraco1605129243lle_tv) > (nat > paraco1605129243lle_tv) > set_nat > nat)).
% 1.19/0.64 thf(func_def_286, type, sK114: produc194167194tv_nat).
% 1.19/0.64 thf(func_def_287, type, sK115: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > nat) > nat)).
% 1.19/0.64 thf(func_def_288, type, sK116: ((product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > product_prod_nat_nat)).
% 1.19/0.64 thf(func_def_289, type, sK117: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_290, type, sK118: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_291, type, sK119: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_292, type, sK120: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_293, type, sK121: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_294, type, sK122: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_295, type, sK123: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_296, type, sK124: (paraco1604210848lle_fm > list_char)).
% 1.19/0.64 thf(func_def_297, type, sK125: (paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_298, type, sK126: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_299, type, sK127: ((paraco1605129243lle_tv > $o) > nat)).
% 1.19/0.64 thf(func_def_300, type, sK128: ((nat > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_301, type, sK129: (paraco1605129243lle_tv > (nat > paraco1605129243lle_tv) > nat)).
% 1.19/0.64 thf(func_def_302, type, sK130: (set_Pr13445366lle_tv > produc270694976lle_tv)).
% 1.19/0.64 thf(func_def_303, type, sK131: ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
% 1.19/0.64 thf(func_def_304, type, sK132: ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
% 1.19/0.64 thf(func_def_305, type, sK133: ((nat > nat) > set_nat > (nat > nat) > nat)).
% 1.19/0.64 thf(func_def_306, type, sK134: (set_Pr1725653840tv_nat > produc194167194tv_nat)).
% 1.19/0.64 thf(func_def_307, type, sK135: ((nat > nat) > nat > nat)).
% 1.19/0.64 thf(func_def_308, type, sK136: (produc696645085lle_fm > (list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_309, type, sK137: (paraco1605129243lle_tv > nat)).
% 1.19/0.64 thf(func_def_310, type, sK138: produc696645085lle_fm).
% 1.19/0.64 thf(func_def_311, type, sK139: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_312, type, sK140: (paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_313, type, sK141: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_314, type, sK142: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_315, type, sK143: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_316, type, sK144: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_317, type, sK145: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_318, type, sK146: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_319, type, sK147: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_320, type, sK148: ((paraco1604210848lle_fm > $o) > list_char)).
% 1.19/0.64 thf(func_def_321, type, sK149: produc931990033lle_tv).
% 1.19/0.64 thf(func_def_322, type, sK150: (set_Pr1725653840tv_nat > (produc194167194tv_nat > produc194167194tv_nat) > (produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
% 1.19/0.64 thf(func_def_323, type, sK151: (produc931990033lle_tv > paraco1605129243lle_tv > nat > nat)).
% 1.19/0.64 thf(func_def_324, type, sK152: ((nat > nat) > (nat > nat) > set_nat > nat)).
% 1.19/0.64 thf(func_def_325, type, sK153: ((nat > nat) > (nat > nat) > set_nat > nat)).
% 1.19/0.64 thf(func_def_326, type, sK154: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_327, type, sK155: ((nat > nat) > nat)).
% 1.19/0.64 thf(func_def_328, type, sK156: ((nat > nat) > nat)).
% 1.19/0.64 thf(func_def_329, type, sK157: (paraco1605129243lle_tv > paraco1605129243lle_tv > $o)).
% 1.19/0.64 thf(func_def_330, type, sK158: (paraco1605129243lle_tv > (nat > nat) > paraco1605129243lle_tv > nat)).
% 1.19/0.64 thf(func_def_331, type, sK159: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_332, type, sK160: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_333, type, sK161: ((produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 1.19/0.64 thf(func_def_334, type, sK162: ((produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 1.19/0.64 thf(func_def_335, type, sK163: (set_Pr13445366lle_tv > (produc270694976lle_tv > produc270694976lle_tv) > (produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 1.19/0.64 thf(func_def_336, type, sK164: (nat > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_337, type, sK165: (set_nat > (paraco1605129243lle_tv > nat) > (nat > paraco1605129243lle_tv) > nat)).
% 1.19/0.64 thf(func_def_338, type, sK166: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_339, type, sK167: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_340, type, sK168: (set_Pr1357842111at_nat > produc1281043295at_nat)).
% 1.19/0.64 thf(func_def_341, type, sK169: (set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_342, type, sK170: (set_Pr1725653840tv_nat > (produc194167194tv_nat > produc194167194tv_nat) > (produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
% 1.19/0.64 thf(func_def_343, type, sK171: ((nat > nat) > nat)).
% 1.19/0.64 thf(func_def_344, type, sK172: ((nat > nat) > nat)).
% 1.19/0.64 thf(func_def_345, type, sK173: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_346, type, sK174: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_347, type, sK175: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_348, type, sK176: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_349, type, sK177: ((paraco1604210848lle_fm > $o) > list_char)).
% 1.19/0.64 thf(func_def_350, type, sK178: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_351, type, sK179: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_352, type, sK180: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 1.19/0.64 thf(func_def_353, type, sK181: (set_Pr2120184979lle_fm > produc696645085lle_fm)).
% 1.19/0.64 thf(func_def_354, type, sK182: (set_Pr560526279lle_tv > produc931990033lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > ((nat > nat) > nat > nat) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_355, type, sK183: (set_Pr560526279lle_tv > produc931990033lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > ((nat > nat) > nat > nat) > nat > nat)).
% 1.19/0.64 thf(func_def_356, type, sK184: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_357, type, sK185: product_prod_nat_nat).
% 1.19/0.64 thf(func_def_358, type, sK186: (paraco1604210848lle_fm > produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 1.19/0.64 thf(func_def_359, type, sK187: produc1852595672lle_tv).
% 1.19/0.64 thf(func_def_360, type, sK188: ((produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
% 1.19/0.64 thf(func_def_361, type, sK189: ((produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
% 1.19/0.64 thf(func_def_362, type, vNOT: ($o > $o)).
% 1.19/0.64 thf(f1,axiom,(
% 1.19/0.64 (((paraco1344940915le_Det @ $true)) != ((paraco1325918602e_eval @ i @ p2)))),
% 1.19/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_a_H_H_H)).
% 1.19/0.64 thf(f5,axiom,(
% 1.19/0.64 (((paraco1325918602e_eval @ i @ p2)) = ((paraco1344940915le_Det @ $false)))),
% 1.19/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_a)).
% 1.19/0.64 thf(f7,axiom,(
% 1.19/0.64 (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $false)))),
% 1.19/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_b)).
% 1.19/0.64 thf(f358,conjecture,(
% 1.19/0.64 (((paraco1344940915le_Det @ $true)) != ((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)))),
% 1.19/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.19/0.64 thf(f359,negated_conjecture,(
% 1.19/0.64 ~ (((paraco1344940915le_Det @ $true)) != ((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)))),
% 1.19/0.64 inference(negated_conjecture,[status(cth)],[f358])).
% 1.19/0.64 thf(f440,plain,(
% 1.19/0.64 (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $false)))),
% 1.19/0.64 inference(rectify,[],[f7])).
% 1.19/0.64 thf(f441,plain,(
% 1.19/0.64 (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $false)))),
% 1.19/0.64 inference(fool_elimination,[],[f440])).
% 1.19/0.64 thf(f530,plain,(
% 1.19/0.64 (((paraco1325918602e_eval @ i @ p2)) = ((paraco1344940915le_Det @ $false)))),
% 1.19/0.64 inference(rectify,[],[f5])).
% 1.19/0.64 thf(f531,plain,(
% 1.19/0.64 (((paraco1325918602e_eval @ i @ p2)) = ((paraco1344940915le_Det @ $false)))),
% 1.19/0.64 inference(fool_elimination,[],[f530])).
% 1.19/0.64 thf(f789,plain,(
% 1.19/0.64 (((paraco1344940915le_Det @ $true)) != ((paraco1325918602e_eval @ i @ p2)))),
% 1.19/0.64 inference(rectify,[],[f1])).
% 1.19/0.64 thf(f790,plain,(
% 1.19/0.64 (((paraco1325918602e_eval @ i @ p2)) != ((paraco1344940915le_Det @ $true)))),
% 1.19/0.64 inference(fool_elimination,[],[f789])).
% 1.19/0.64 thf(f816,plain,(
% 1.19/0.64 ~ (((paraco1344940915le_Det @ $true)) != ((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)))),
% 1.19/0.64 inference(rectify,[],[f359])).
% 1.19/0.64 thf(f817,plain,(
% 1.19/0.64 ~ (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) != ((paraco1344940915le_Det @ $true)))),
% 1.19/0.64 inference(fool_elimination,[],[f816])).
% 1.19/0.64 thf(f900,plain,(
% 1.19/0.64 (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $true)))),
% 1.19/0.64 inference(flattening,[],[f817])).
% 1.19/0.64 thf(f1707,plain,(
% 1.19/0.64 (((paraco1325918602e_eval @ i @ p2)) = ((paraco1344940915le_Det @ $false)))),
% 1.19/0.64 inference(cnf_transformation,[],[f531])).
% 1.19/0.64 thf(f2025,plain,(
% 1.19/0.64 (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $true)))),
% 1.19/0.64 inference(cnf_transformation,[],[f900])).
% 1.19/0.64 thf(f2038,plain,(
% 1.19/0.64 (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $false)))),
% 1.19/0.64 inference(cnf_transformation,[],[f441])).
% 1.19/0.64 thf(f2057,plain,(
% 1.19/0.64 (((paraco1325918602e_eval @ i @ p2)) != ((paraco1344940915le_Det @ $true)))),
% 1.19/0.64 inference(cnf_transformation,[],[f790])).
% 1.19/0.64 thf(f2296,definition,(
% 1.19/0.64 spl190_3 <=> (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $true)))),
% 1.19/0.64 introduced(definition,[new_symbols(definition,[spl190_3])],[avatar_definition])).
% 1.19/0.64 thf(f2299,plain,(
% 1.19/0.64 spl190_3),
% 1.19/0.64 inference(avatar_split_clause,[],[f2025,f2296])).
% 1.19/0.64 thf(f2326,definition,(
% 1.19/0.64 spl190_9 <=> (((paraco1325918602e_eval @ i @ p2)) = ((paraco1344940915le_Det @ $false)))),
% 1.19/0.64 introduced(definition,[new_symbols(definition,[spl190_9])],[avatar_definition])).
% 1.19/0.64 thf(f2329,plain,(
% 1.19/0.64 spl190_9),
% 1.19/0.64 inference(avatar_split_clause,[],[f1707,f2326])).
% 1.19/0.64 thf(f2376,definition,(
% 1.19/0.64 spl190_19 <=> (((paraco1325918602e_eval @ i @ p2)) = ((paraco1344940915le_Det @ $true)))),
% 1.19/0.64 introduced(definition,[new_symbols(definition,[spl190_19])],[avatar_definition])).
% 1.19/0.64 thf(f2379,plain,(
% 1.19/0.64 ~spl190_19),
% 1.19/0.64 inference(avatar_split_clause,[],[f2057,f2376])).
% 1.19/0.64 thf(f2416,definition,(
% 1.19/0.64 spl190_27 <=> (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $false)))),
% 1.19/0.64 introduced(definition,[new_symbols(definition,[spl190_27])],[avatar_definition])).
% 1.19/0.64 thf(f2419,plain,(
% 1.19/0.64 spl190_27),
% 1.19/0.64 inference(avatar_split_clause,[],[f2038,f2416])).
% 1.19/0.64 thf(f2495,definition,(
% 1.19/0.64 (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) != ((paraco1344940915le_Det @ $true))) | (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) != ((paraco1344940915le_Det @ $false))) | (((paraco1325918602e_eval @ i @ p2)) != ((paraco1344940915le_Det @ $false))) | (((paraco1325918602e_eval @ i @ p2)) = ((paraco1344940915le_Det @ $true)))),
% 1.19/0.64 introduced(theory,[theory_tautology_sat_conflict])).
% 1.19/0.64 cnf(s3, plain, spl190_3, inference(sat_conversion,[],[f2299])).
% 1.19/0.64 cnf(s9, plain, spl190_9, inference(sat_conversion,[],[f2329])).
% 1.19/0.64 cnf(s19, plain, ~spl190_19, inference(sat_conversion,[],[f2379])).
% 1.19/0.64 cnf(s27, plain, spl190_27, inference(sat_conversion,[],[f2419])).
% 1.19/0.64 cnf(s43, plain, ~spl190_3 | ~spl190_9 | spl190_19 | ~spl190_27, inference(sat_conversion,[],[f2495])).
% 1.19/0.64 cnf(s44, plain, ~spl190_3, inference(rat,[],[s43,s27,s19,s9])).
% 1.19/0.64 cnf(s45, plain, $false, inference(rat,[],[s3,s44])).
% 1.19/0.64 thf(f2496,plain,(
% 1.19/0.64 $false),
% 1.19/0.64 inference(avatar_sat_refutation,[],[s45])).
% 1.19/0.64 % SZS output end Proof for theBenchmark
% 1.19/0.64 % (1234491)------------------------------
% 1.19/0.64 % (1234491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.64 % (1234491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.64 % (1234491)CaDiCaL version: 2.1.3
% 1.19/0.64 % (1234491)Termination reason: Refutation
% 1.19/0.64 % (1234491)Time elapsed: 0.122 s
% 1.19/0.64 % (1234491)Peak memory usage: 14 MB
% 1.19/0.64 % (1234491)Instructions burned: 140 (million)
% 1.19/0.64 % (1234483)Success in time 0.196 s
% 1.19/0.64 % Vampire exiting
%------------------------------------------------------------------------------