%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP135^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 0.31s 0.44s
% Output : Refutation 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP135^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 % Computer : n014.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 19:58:45 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 Running higher-order theorem proving
% 0.22/0.31 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
% 0.31/0.44 % (3135508)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.31/0.44 % (3135525)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3916453869:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.31/0.44 % (3135526)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.31/0.44 % (3135526)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
% 0.31/0.44 % (3135519)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1754586122:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.31/0.44 % (3135520)lrs+10_16_si=on:nwc=1.5:random_seed=634032846:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.31/0.44 % (3135524)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2562023728:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.31/0.44 % (3135521)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4189986924:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.31/0.44 % (3135522)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=2938422453: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)
% 0.31/0.44 % (3135526)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=1886918282:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.31/0.44 % (3135521)Instruction limit reached!
% 0.31/0.44 % (3135521)------------------------------
% 0.31/0.44 % (3135521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135521)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135521)Termination reason: Instruction limit
% 0.31/0.44 % (3135521)Termination phase: shuffling
% 0.31/0.44 % (3135521)Time elapsed: 0.002 s
% 0.31/0.44 % (3135521)Peak memory usage: 10 MB
% 0.31/0.44 % (3135521)Instructions burned: 3 (million)
% 0.31/0.44 % (3135520)Instruction limit reached!
% 0.31/0.44 % (3135520)------------------------------
% 0.31/0.44 % (3135520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135520)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135520)Termination reason: Instruction limit
% 0.31/0.44 % (3135520)Termination phase: shuffling
% 0.31/0.44 % (3135520)Time elapsed: 0.009 s
% 0.31/0.44 % (3135520)Peak memory usage: 10 MB
% 0.31/0.44 % (3135520)Instructions burned: 20 (million)
% 0.31/0.44 % (3135524)Instruction limit reached!
% 0.31/0.44 % (3135524)------------------------------
% 0.31/0.44 % (3135524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135524)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135524)Termination reason: Instruction limit
% 0.31/0.44 % (3135524)Termination phase: Property scanning
% 0.31/0.44 % (3135524)Time elapsed: 0.011 s
% 0.31/0.44 % (3135524)Peak memory usage: 11 MB
% 0.31/0.44 % (3135524)Instructions burned: 25 (million)
% 0.31/0.44 % (3135525)Instruction limit reached!
% 0.31/0.44 % (3135525)------------------------------
% 0.31/0.44 % (3135525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135525)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135525)Termination reason: Instruction limit
% 0.31/0.44 % (3135525)Termination phase: Property scanning
% 0.31/0.44 % (3135525)Time elapsed: 0.020 s
% 0.31/0.44 % (3135525)Peak memory usage: 12 MB
% 0.31/0.44 % (3135525)Instructions burned: 80 (million)
% 0.31/0.44 % (3135543)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3754604881:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.44 % (3135551)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1674776503:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.31/0.44 % (3135543)Instruction limit reached!
% 0.31/0.44 % (3135543)------------------------------
% 0.31/0.44 % (3135543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135543)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135543)Termination reason: Instruction limit
% 0.31/0.44 % (3135543)Termination phase: shuffling
% 0.31/0.44 % (3135543)Time elapsed: 0.002 s
% 0.31/0.44 % (3135543)Peak memory usage: 10 MB
% 0.31/0.44 % (3135543)Instructions burned: 3 (million)
% 0.31/0.44 % (3135549)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.31/0.44 % (3135551)Instruction limit reached!
% 0.31/0.44 % (3135551)------------------------------
% 0.31/0.44 % (3135551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135551)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135551)Termination reason: Instruction limit
% 0.31/0.44 % (3135551)Termination phase: shuffling
% 0.31/0.44 % (3135551)Time elapsed: 0.003 s
% 0.31/0.44 % (3135551)Peak memory usage: 10 MB
% 0.31/0.44 % (3135551)Instructions burned: 13 (million)
% 0.31/0.44 % (3135547)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1114407445:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.31/0.44 % (3135549)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3334076395:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.31/0.44 % (3135547)Instruction limit reached!
% 0.31/0.44 % (3135547)------------------------------
% 0.31/0.44 % (3135547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135547)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135547)Termination reason: Instruction limit
% 0.31/0.44 % (3135547)Termination phase: shuffling
% 0.31/0.44 % (3135547)Time elapsed: 0.003 s
% 0.31/0.44 % (3135547)Peak memory usage: 10 MB
% 0.31/0.44 % (3135547)Instructions burned: 5 (million)
% 0.31/0.44 % (3135549)Instruction limit reached!
% 0.31/0.44 % (3135549)------------------------------
% 0.31/0.44 % (3135549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135549)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135549)Termination reason: Instruction limit
% 0.31/0.44 % (3135549)Termination phase: shuffling
% 0.31/0.44 % (3135549)Time elapsed: 0.004 s
% 0.31/0.44 % (3135549)Peak memory usage: 10 MB
% 0.31/0.44 % (3135549)Instructions burned: 8 (million)
% 0.31/0.44 % (3135562)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=1935909983:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.31/0.44 % (3135519)Instruction limit reached!
% 0.31/0.44 % (3135519)------------------------------
% 0.31/0.44 % (3135519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135519)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135519)Termination reason: Instruction limit
% 0.31/0.44 % (3135519)Termination phase: Property scanning
% 0.31/0.44 % (3135519)Time elapsed: 0.041 s
% 0.31/0.44 % (3135519)Peak memory usage: 13 MB
% 0.31/0.44 % (3135519)Instructions burned: 87 (million)
% 0.31/0.44 % (3135560)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
% 0.31/0.44 % (3135560)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.31/0.44 % (3135560)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=537964708:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.31/0.44 % (3135566)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.31/0.44 % (3135565)lrs+10_1_si=on:cs=on:random_seed=3920630597:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.31/0.44 % (3135566)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=306824125:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.44 % (3135565)Instruction limit reached!
% 0.31/0.44 % (3135565)------------------------------
% 0.31/0.44 % (3135565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135565)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135565)Termination reason: Instruction limit
% 0.31/0.44 % (3135565)Termination phase: shuffling
% 0.31/0.44 % (3135565)Time elapsed: 0.004 s
% 0.31/0.44 % (3135565)Peak memory usage: 10 MB
% 0.31/0.44 % (3135565)Instructions burned: 8 (million)
% 0.31/0.44 % (3135566)Instruction limit reached!
% 0.31/0.44 % (3135566)------------------------------
% 0.31/0.44 % (3135566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135566)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135566)Termination reason: Instruction limit
% 0.31/0.44 % (3135566)Termination phase: shuffling
% 0.31/0.44 % (3135566)Time elapsed: 0.002 s
% 0.31/0.44 % (3135566)Peak memory usage: 10 MB
% 0.31/0.44 % (3135566)Instructions burned: 4 (million)
% 0.31/0.44 % (3135560)Instruction limit reached!
% 0.31/0.44 % (3135560)------------------------------
% 0.31/0.44 % (3135560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135560)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135560)Termination reason: Instruction limit
% 0.31/0.44 % (3135560)Termination phase: shuffling
% 0.31/0.44 % (3135560)Time elapsed: 0.014 s
% 0.31/0.44 % (3135560)Peak memory usage: 11 MB
% 0.31/0.44 % (3135560)Instructions burned: 30 (million)
% 0.31/0.44 % (3135568)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2566048789:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.31/0.44 % (3135562)Instruction limit reached!
% 0.31/0.44 % (3135562)------------------------------
% 0.31/0.44 % (3135562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135562)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135562)Termination reason: Instruction limit
% 0.31/0.44 % (3135562)Termination phase: Property scanning
% 0.31/0.44 % (3135562)Time elapsed: 0.020 s
% 0.31/0.44 % (3135562)Peak memory usage: 11 MB
% 0.31/0.44 % (3135562)Instructions burned: 90 (million)
% 0.31/0.44 % (3135522) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3135508-3135522"...
% 0.31/0.44 % (3135582)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1030875780:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.31/0.44 % (3135526)Instruction limit reached!
% 0.31/0.44 % (3135526)------------------------------
% 0.31/0.44 % (3135526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135526)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135526)Termination reason: Instruction limit
% 0.31/0.44 % (3135526)Termination phase: Saturation
% 0.31/0.44 % (3135526)Time elapsed: 0.071 s
% 0.31/0.44 % (3135526)Peak memory usage: 14 MB
% 0.31/0.44 % (3135526)Instructions burned: 159 (million)
% 0.31/0.44 % (3135522)...printing done.
% 0.31/0.44 % (3135522)Refutation found. Thanks to Tanya!
% 0.31/0.44 % SZS status Theorem for theBenchmark
% 0.31/0.44 % SZS output start Proof for theBenchmark
% 0.31/0.44 thf(type_def_5, type, set_Pr1723822845lle_tv: $tType).
% 0.31/0.44 thf(type_def_6, type, set_Pr2120184979lle_fm: $tType).
% 0.31/0.44 thf(type_def_7, type, produc1443694919lle_tv: $tType).
% 0.31/0.44 thf(type_def_8, type, produc696645085lle_fm: $tType).
% 0.31/0.44 thf(type_def_9, type, set_Pr2014382200lle_tv: $tType).
% 0.31/0.44 thf(type_def_10, type, set_Pr840833727at_nat: $tType).
% 0.31/0.44 thf(type_def_11, type, set_Pr560526279lle_tv: $tType).
% 0.31/0.44 thf(type_def_12, type, produc1647334210lle_tv: $tType).
% 0.31/0.44 thf(type_def_13, type, produc596913417at_nat: $tType).
% 0.31/0.44 thf(type_def_14, type, produc931990033lle_tv: $tType).
% 0.31/0.44 thf(type_def_15, type, set_Pr1725653840tv_nat: $tType).
% 0.31/0.44 thf(type_def_16, type, set_Pr13445366lle_tv: $tType).
% 0.31/0.44 thf(type_def_17, type, produc194167194tv_nat: $tType).
% 0.31/0.44 thf(type_def_18, type, produc270694976lle_tv: $tType).
% 0.31/0.44 thf(type_def_19, type, set_Pr1986765409at_nat: $tType).
% 0.31/0.44 thf(type_def_20, type, set_Pa1764573435lle_tv: $tType).
% 0.31/0.44 thf(type_def_21, type, product_prod_nat_nat: $tType).
% 0.31/0.44 thf(type_def_22, type, paraco1605129243lle_tv: $tType).
% 0.31/0.44 thf(type_def_23, type, paraco1604210848lle_fm: $tType).
% 0.31/0.44 thf(type_def_24, type, list_char: $tType).
% 0.31/0.44 thf(type_def_25, type, set_nat: $tType).
% 0.31/0.44 thf(type_def_26, type, nat: $tType).
% 0.31/0.44 thf(type_def_27, type, sTfun: ($tType * $tType) > $tType).
% 0.31/0.44 thf(func_def_0, type, inj_on_nat_nat: ((nat > nat) > set_nat > $o)).
% 0.31/0.44 thf(func_def_1, type, inj_on1955349912lle_tv: ((nat > paraco1605129243lle_tv) > set_nat > $o)).
% 0.31/0.44 thf(func_def_2, type, inj_on1179712058tv_nat: ((paraco1605129243lle_tv > nat) > set_Pa1764573435lle_tv > $o)).
% 0.31/0.44 thf(func_def_3, type, inj_on772319074lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > $o)).
% 0.31/0.44 thf(func_def_4, type, inj_on26176689at_nat: ((product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > $o)).
% 0.31/0.44 thf(func_def_5, type, inj_on1745913142lle_tv: ((produc270694976lle_tv > produc270694976lle_tv) > set_Pr13445366lle_tv > $o)).
% 0.31/0.44 thf(func_def_6, type, inj_on552895452tv_nat: ((produc194167194tv_nat > produc194167194tv_nat) > set_Pr1725653840tv_nat > $o)).
% 0.31/0.44 thf(func_def_7, type, inj_on2112487900lle_tv: ((produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > $o)).
% 0.31/0.44 thf(func_def_8, type, the_inv_into_nat_nat: (set_nat > (nat > nat) > nat > nat)).
% 0.31/0.44 thf(func_def_9, type, the_in452116896lle_tv: (set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_10, type, if_Par1134130401lle_tv: ($o > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_11, type, ord_less_eq_set_nat: (set_nat > set_nat > $o)).
% 0.31/0.44 thf(func_def_12, type, ord_le241064091lle_tv: (set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o)).
% 0.31/0.44 thf(func_def_13, type, ord_le1007985907lle_fm: (set_Pr2120184979lle_fm > set_Pr2120184979lle_fm > $o)).
% 0.31/0.44 thf(func_def_14, type, ord_le1784136743lle_tv: (set_Pr560526279lle_tv > set_Pr560526279lle_tv > $o)).
% 0.31/0.44 thf(func_def_15, type, top_top_nat_o: (nat > $o)).
% 0.31/0.44 thf(func_def_16, type, top_to1299250770e_tv_o: (paraco1605129243lle_tv > $o)).
% 0.31/0.44 thf(func_def_17, type, top_to632227436_nat_o: (product_prod_nat_nat > $o)).
% 0.31/0.44 thf(func_def_18, type, top_to1889334367e_tv_o: (produc270694976lle_tv > $o)).
% 0.31/0.44 thf(func_def_19, type, top_to900819589_nat_o: (produc194167194tv_nat > $o)).
% 0.31/0.44 thf(func_def_20, type, top_top_o: $o).
% 0.31/0.44 thf(func_def_21, type, top_top_set_nat: set_nat).
% 0.31/0.44 thf(func_def_22, type, top_to1057771083lle_tv: set_Pa1764573435lle_tv).
% 0.31/0.44 thf(func_def_23, type, top_to775056195lle_fm: set_Pr2120184979lle_fm).
% 0.31/0.44 thf(func_def_24, type, top_to449985143lle_tv: set_Pr560526279lle_tv).
% 0.31/0.44 thf(func_def_25, type, top_to1555900337at_nat: set_Pr1986765409at_nat).
% 0.31/0.44 thf(func_def_26, type, top_to1411004326lle_tv: set_Pr13445366lle_tv).
% 0.31/0.44 thf(func_def_27, type, top_to378694061lle_tv: set_Pr1723822845lle_tv).
% 0.31/0.44 thf(func_def_28, type, top_to730292591at_nat: set_Pr840833727at_nat).
% 0.31/0.44 thf(func_def_29, type, top_to975729152tv_nat: set_Pr1725653840tv_nat).
% 0.31/0.44 thf(func_def_30, type, top_to1871154984lle_tv: set_Pr2014382200lle_tv).
% 0.31/0.44 thf(func_def_31, type, paraco761681009ge_int: ((nat > nat) > (list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_32, type, paraco1147068288nge_tv: ((nat > nat) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_33, type, paraco1632582009tv_rel: (produc931990033lle_tv > produc931990033lle_tv > $o)).
% 0.31/0.44 thf(func_def_34, type, paraco1325918602e_eval: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_35, type, paraco69239110le_Con: (paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_36, type, paraco1389086619le_Eql: (paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_37, type, paraco1745535428le_Eql: (paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_38, type, paraco445776468le_Neg: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_39, type, paraco1480028776le_Pro: (list_char > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_40, type, paraco367965286_Truth: paraco1604210848lle_fm).
% 0.31/0.44 thf(func_def_41, type, paraco1344940915le_Det: ($o > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_42, type, paraco793048302_Indet: (nat > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_43, type, paraco2051596139lle_tv: (($o > paraco1605129243lle_tv) > (nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_44, type, paraco327635598_valid: (paraco1604210848lle_fm > $o)).
% 0.31/0.44 thf(func_def_45, type, paraco55203475lid_in: (set_nat > paraco1604210848lle_fm > $o)).
% 0.31/0.44 thf(func_def_46, type, produc1710735575lle_fm: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm)).
% 0.31/0.44 thf(func_def_47, type, produc1680557635lle_tv: ((nat > nat) > paraco1605129243lle_tv > produc931990033lle_tv)).
% 0.31/0.44 thf(func_def_48, type, produc1943344577lle_tv: (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc1443694919lle_tv)).
% 0.31/0.44 thf(func_def_49, type, produc1633679363at_nat: (paraco1605129243lle_tv > (nat > nat) > produc596913417at_nat)).
% 0.31/0.44 thf(func_def_50, type, produc1942165868lle_fm: (((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > produc696645085lle_fm > produc696645085lle_fm)).
% 0.31/0.44 thf(func_def_51, type, produc939316703lle_tv: (((nat > nat) > nat > nat) > produc931990033lle_tv > produc931990033lle_tv)).
% 0.31/0.44 thf(func_def_52, type, produc1807466521lle_tv: ((paraco1604210848lle_fm > paraco1604210848lle_fm) > produc696645085lle_fm > produc696645085lle_fm)).
% 0.31/0.44 thf(func_def_53, type, produc109093078at_nat: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > produc931990033lle_tv > produc931990033lle_tv)).
% 0.31/0.44 thf(func_def_54, type, produc234482697lle_tv: (paraco1605129243lle_tv > paraco1605129243lle_tv > $o > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_55, type, produc275353523e_fm_o: ((produc696645085lle_fm > $o) > (list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o)).
% 0.31/0.44 thf(func_def_56, type, produc752649287e_tv_o: ((produc931990033lle_tv > $o) > (nat > nat) > paraco1605129243lle_tv > $o)).
% 0.31/0.44 thf(func_def_57, type, produc1900967599lle_fm: (((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > (paraco1604210848lle_fm > paraco1604210848lle_fm) > produc696645085lle_fm > produc696645085lle_fm)).
% 0.31/0.44 thf(func_def_58, type, produc1566550641lle_tv: (((list_char > paraco1605129243lle_tv) > nat > nat) > (paraco1604210848lle_fm > paraco1605129243lle_tv) > produc696645085lle_fm > produc931990033lle_tv)).
% 0.31/0.44 thf(func_def_59, type, produc951033137lle_fm: (((nat > nat) > list_char > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1604210848lle_fm) > produc931990033lle_tv > produc696645085lle_fm)).
% 0.31/0.44 thf(func_def_60, type, produc532909085lle_tv: (((nat > nat) > nat > nat) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc931990033lle_tv > produc931990033lle_tv)).
% 0.31/0.44 thf(func_def_61, type, produc505105722at_nat: ((nat > nat) > (nat > nat) > product_prod_nat_nat > product_prod_nat_nat)).
% 0.31/0.44 thf(func_def_62, type, produc313957681lle_tv: ((nat > nat) > (nat > paraco1605129243lle_tv) > product_prod_nat_nat > produc270694976lle_tv)).
% 0.31/0.44 thf(func_def_63, type, produc1685803475tv_nat: ((nat > nat) > (paraco1605129243lle_tv > nat) > produc270694976lle_tv > product_prod_nat_nat)).
% 0.31/0.44 thf(func_def_64, type, produc2101297531lle_tv: ((nat > nat) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc270694976lle_tv > produc270694976lle_tv)).
% 0.31/0.44 thf(func_def_65, type, produc1250721397at_nat: ((nat > paraco1605129243lle_tv) > (nat > nat) > product_prod_nat_nat > produc194167194tv_nat)).
% 0.31/0.44 thf(func_def_66, type, produc210389789lle_tv: ((nat > paraco1605129243lle_tv) > (nat > paraco1605129243lle_tv) > product_prod_nat_nat > produc1647334210lle_tv)).
% 0.31/0.44 thf(func_def_67, type, produc189459613tv_nat: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > nat) > produc270694976lle_tv > produc194167194tv_nat)).
% 0.31/0.44 thf(func_def_68, type, produc1975500101lle_tv: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc270694976lle_tv > produc1647334210lle_tv)).
% 0.31/0.44 thf(func_def_69, type, produc386540311at_nat: ((paraco1605129243lle_tv > nat) > (nat > nat) > produc194167194tv_nat > product_prod_nat_nat)).
% 0.31/0.44 thf(func_def_70, type, produc72207551lle_tv: ((paraco1605129243lle_tv > nat) > (nat > paraco1605129243lle_tv) > produc194167194tv_nat > produc270694976lle_tv)).
% 0.31/0.44 thf(func_def_71, type, produc42536895at_nat: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (nat > nat) > produc194167194tv_nat > produc194167194tv_nat)).
% 0.31/0.44 thf(func_def_72, type, produc1345917071lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > produc1647334210lle_tv)).
% 0.31/0.44 thf(func_def_73, type, produc29804011lle_fm: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_74, type, produc1636169559lle_tv: (produc931990033lle_tv > nat > nat)).
% 0.31/0.44 thf(func_def_75, type, produc262413013lle_tv: (produc1443694919lle_tv > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_76, type, produc1589291287at_nat: (produc596913417at_nat > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_77, type, produc148705065lle_fm: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_78, type, produc547496597lle_tv: (produc931990033lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_79, type, produc381314067lle_tv: (produc1443694919lle_tv > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_80, type, produc500618325at_nat: (produc596913417at_nat > nat > nat)).
% 0.31/0.44 thf(func_def_81, type, produc1000205111lle_fm: (produc696645085lle_fm > produc1443694919lle_tv)).
% 0.31/0.44 thf(func_def_82, type, produc225513635lle_tv: (produc931990033lle_tv > produc596913417at_nat)).
% 0.31/0.44 thf(func_def_83, type, produc1232814113lle_tv: (produc1443694919lle_tv > produc696645085lle_fm)).
% 0.31/0.44 thf(func_def_84, type, produc178635363at_nat: (produc596913417at_nat > produc931990033lle_tv)).
% 0.31/0.44 thf(func_def_85, type, inv_image_nat_nat: (set_Pr1986765409at_nat > (nat > nat) > set_Pr1986765409at_nat)).
% 0.31/0.44 thf(func_def_86, type, inv_im1292588663lle_tv: (set_Pr1986765409at_nat > (paraco1605129243lle_tv > nat) > set_Pr2014382200lle_tv)).
% 0.31/0.44 thf(func_def_87, type, inv_im516950809tv_nat: (set_Pr2014382200lle_tv > (nat > paraco1605129243lle_tv) > set_Pr1986765409at_nat)).
% 0.31/0.44 thf(func_def_88, type, inv_im719552961lle_tv: (set_Pr2014382200lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pr2014382200lle_tv)).
% 0.31/0.44 thf(func_def_89, type, total_on_nat: (set_nat > set_Pr1986765409at_nat > $o)).
% 0.31/0.44 thf(func_def_90, type, total_1781621663lle_tv: (set_Pa1764573435lle_tv > set_Pr2014382200lle_tv > $o)).
% 0.31/0.44 thf(func_def_91, type, collect_nat: ((nat > $o) > set_nat)).
% 0.31/0.44 thf(func_def_92, type, collec1111687558lle_tv: ((paraco1605129243lle_tv > $o) > set_Pa1764573435lle_tv)).
% 0.31/0.44 thf(func_def_93, type, collec835549234lle_fm: ((produc696645085lle_fm > $o) > set_Pr2120184979lle_fm)).
% 0.31/0.44 thf(func_def_94, type, collec1624074086lle_tv: ((produc931990033lle_tv > $o) > set_Pr560526279lle_tv)).
% 0.31/0.44 thf(func_def_95, type, collec7649004at_nat: ((product_prod_nat_nat > $o) > set_Pr1986765409at_nat)).
% 0.31/0.44 thf(func_def_96, type, collec924990229lle_tv: ((produc270694976lle_tv > $o) > set_Pr13445366lle_tv)).
% 0.31/0.44 thf(func_def_97, type, collec1582599068lle_tv: ((produc1443694919lle_tv > $o) > set_Pr1723822845lle_tv)).
% 0.31/0.44 thf(func_def_98, type, collec1288997470at_nat: ((produc596913417at_nat > $o) > set_Pr840833727at_nat)).
% 0.31/0.44 thf(func_def_99, type, collec848462447tv_nat: ((produc194167194tv_nat > $o) > set_Pr1725653840tv_nat)).
% 0.31/0.44 thf(func_def_100, type, image_nat_nat: ((nat > nat) > set_nat > set_nat)).
% 0.31/0.44 thf(func_def_101, type, image_1151963140lle_tv: ((nat > paraco1605129243lle_tv) > set_nat > set_Pa1764573435lle_tv)).
% 0.31/0.44 thf(func_def_102, type, image_376325286tv_nat: ((paraco1605129243lle_tv > nat) > set_Pa1764573435lle_tv > set_nat)).
% 0.31/0.44 thf(func_def_103, type, image_335818702lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv)).
% 0.31/0.44 thf(func_def_104, type, image_807538418lle_fm: ((produc696645085lle_fm > produc696645085lle_fm) > set_Pr2120184979lle_fm > set_Pr2120184979lle_fm)).
% 0.31/0.44 thf(func_def_105, type, image_1154804148lle_tv: ((produc696645085lle_fm > produc931990033lle_tv) > set_Pr2120184979lle_fm > set_Pr560526279lle_tv)).
% 0.31/0.44 thf(func_def_106, type, image_924970994lle_tv: ((produc696645085lle_fm > produc1443694919lle_tv) > set_Pr2120184979lle_fm > set_Pr1723822845lle_tv)).
% 0.31/0.44 thf(func_def_107, type, image_1585092542lle_fm: ((produc931990033lle_tv > produc696645085lle_fm) > set_Pr560526279lle_tv > set_Pr2120184979lle_fm)).
% 0.31/0.44 thf(func_def_108, type, image_1751508608lle_tv: ((produc931990033lle_tv > produc931990033lle_tv) > set_Pr560526279lle_tv > set_Pr560526279lle_tv)).
% 0.31/0.44 thf(func_def_109, type, image_1724396928at_nat: ((produc931990033lle_tv > produc596913417at_nat) > set_Pr560526279lle_tv > set_Pr840833727at_nat)).
% 0.31/0.44 thf(func_def_110, type, image_815163717at_nat: ((product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > set_Pr1986765409at_nat)).
% 0.31/0.44 thf(func_def_111, type, image_1674248956lle_tv: ((product_prod_nat_nat > produc270694976lle_tv) > set_Pr1986765409at_nat > set_Pr13445366lle_tv)).
% 0.31/0.44 thf(func_def_112, type, image_1597721174tv_nat: ((product_prod_nat_nat > produc194167194tv_nat) > set_Pr1986765409at_nat > set_Pr1725653840tv_nat)).
% 0.31/0.44 thf(func_def_113, type, image_1507992062lle_tv: ((product_prod_nat_nat > produc1647334210lle_tv) > set_Pr1986765409at_nat > set_Pr2014382200lle_tv)).
% 0.31/0.44 thf(func_def_114, type, image_1787705850at_nat: ((produc270694976lle_tv > product_prod_nat_nat) > set_Pr13445366lle_tv > set_Pr1986765409at_nat)).
% 0.31/0.44 thf(func_def_115, type, image_149830562lle_tv: ((produc270694976lle_tv > produc270694976lle_tv) > set_Pr13445366lle_tv > set_Pr13445366lle_tv)).
% 0.31/0.44 thf(func_def_116, type, image_53754658tv_nat: ((produc270694976lle_tv > produc194167194tv_nat) > set_Pr13445366lle_tv > set_Pr1725653840tv_nat)).
% 0.31/0.44 thf(func_def_117, type, image_988201162lle_tv: ((produc270694976lle_tv > produc1647334210lle_tv) > set_Pr13445366lle_tv > set_Pr2014382200lle_tv)).
% 0.31/0.44 thf(func_def_118, type, image_326034184lle_fm: ((produc1443694919lle_tv > produc696645085lle_fm) > set_Pr1723822845lle_tv > set_Pr2120184979lle_fm)).
% 0.31/0.44 thf(func_def_119, type, image_769496456lle_tv: ((produc596913417at_nat > produc931990033lle_tv) > set_Pr840833727at_nat > set_Pr560526279lle_tv)).
% 0.31/0.44 thf(func_def_120, type, image_1805124128at_nat: ((produc194167194tv_nat > product_prod_nat_nat) > set_Pr1725653840tv_nat > set_Pr1986765409at_nat)).
% 0.31/0.44 thf(func_def_121, type, image_1200372424lle_tv: ((produc194167194tv_nat > produc270694976lle_tv) > set_Pr1725653840tv_nat > set_Pr13445366lle_tv)).
% 0.31/0.44 thf(func_def_122, type, accp_P2085826120lle_tv: ((produc931990033lle_tv > produc931990033lle_tv > $o) > produc931990033lle_tv > $o)).
% 0.31/0.44 thf(func_def_123, type, member_nat: (nat > set_nat > $o)).
% 0.31/0.44 thf(func_def_124, type, member266900804lle_tv: (paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o)).
% 0.31/0.44 thf(func_def_125, type, member1474794996lle_fm: (produc696645085lle_fm > set_Pr2120184979lle_fm > $o)).
% 0.31/0.44 thf(func_def_126, type, member1569366824lle_tv: (produc931990033lle_tv > set_Pr560526279lle_tv > $o)).
% 0.31/0.44 thf(func_def_127, type, member701585322at_nat: (product_prod_nat_nat > set_Pr1986765409at_nat > $o)).
% 0.31/0.44 thf(func_def_128, type, member813679063lle_tv: (produc270694976lle_tv > set_Pr13445366lle_tv > $o)).
% 0.31/0.44 thf(func_def_129, type, member74361182lle_tv: (produc1443694919lle_tv > set_Pr1723822845lle_tv > $o)).
% 0.31/0.44 thf(func_def_130, type, member1234290208at_nat: (produc596913417at_nat > set_Pr840833727at_nat > $o)).
% 0.31/0.44 thf(func_def_131, type, member737151281tv_nat: (produc194167194tv_nat > set_Pr1725653840tv_nat > $o)).
% 0.31/0.44 thf(func_def_132, type, member1531318361lle_tv: (produc1647334210lle_tv > set_Pr2014382200lle_tv > $o)).
% 0.31/0.44 thf(func_def_133, type, f: (nat > nat)).
% 0.31/0.44 thf(func_def_134, type, i: (list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_135, type, p1: paraco1604210848lle_fm).
% 0.31/0.44 thf(func_def_136, type, p2: paraco1604210848lle_fm).
% 0.31/0.44 thf(func_def_140, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.31/0.44 thf(func_def_141, type, vIMP: ($o > $o > $o)).
% 0.31/0.44 thf(func_def_142, type, db0: !>[X0: $tType]:(X0)).
% 0.31/0.44 thf(func_def_143, type, db1: !>[X0: $tType]:(X0)).
% 0.31/0.44 thf(func_def_144, type, db2: !>[X0: $tType]:(X0)).
% 0.31/0.44 thf(func_def_145, type, db3: !>[X0: $tType]:(X0)).
% 0.31/0.44 thf(func_def_146, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.31/0.44 thf(func_def_147, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.31/0.44 thf(func_def_148, type, sP0: ((paraco1604210848lle_fm > $o) > $o)).
% 0.31/0.44 thf(func_def_149, type, sP1: ((paraco1604210848lle_fm > $o) > $o)).
% 0.31/0.44 thf(func_def_150, type, sP2: ((paraco1604210848lle_fm > $o) > $o)).
% 0.31/0.44 thf(func_def_151, type, sP3: ((paraco1604210848lle_fm > $o) > $o)).
% 0.31/0.44 thf(func_def_152, type, sK4: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_153, type, sK5: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_154, type, sK6: ((product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > product_prod_nat_nat)).
% 0.31/0.44 thf(func_def_155, type, sK7: ((product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > product_prod_nat_nat)).
% 0.31/0.44 thf(func_def_156, type, sK8: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_157, type, sK9: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_158, type, sK10: ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
% 0.31/0.44 thf(func_def_159, type, sK11: ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
% 0.31/0.44 thf(func_def_160, type, sK12: (((nat > nat) > paraco1605129243lle_tv > $o) > nat)).
% 0.31/0.44 thf(func_def_161, type, sK13: (((nat > nat) > paraco1605129243lle_tv > $o) > nat > nat)).
% 0.31/0.44 thf(func_def_162, type, sK14: (((nat > nat) > paraco1605129243lle_tv > $o) > $o)).
% 0.31/0.44 thf(func_def_163, type, sK15: (((nat > nat) > paraco1605129243lle_tv > $o) > nat > nat)).
% 0.31/0.44 thf(func_def_164, type, sK16: ((produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
% 0.31/0.44 thf(func_def_165, type, sK17: ((produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
% 0.31/0.44 thf(func_def_166, type, sK18: ((nat > paraco1605129243lle_tv) > set_nat > (nat > paraco1605129243lle_tv) > nat)).
% 0.31/0.44 thf(func_def_167, type, sK19: paraco1605129243lle_tv).
% 0.31/0.44 thf(func_def_168, type, sK20: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_169, type, sK21: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_170, type, sK22: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_171, type, sK23: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_172, type, sK24: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_173, type, sK25: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_174, type, sK26: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_175, type, sK27: ((paraco1604210848lle_fm > $o) > list_char)).
% 0.31/0.44 thf(func_def_176, type, sK28: (set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_177, type, sK29: ((produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 0.31/0.44 thf(func_def_178, type, sK30: ((produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 0.31/0.44 thf(func_def_179, type, sK31: ((produc931990033lle_tv > $o) > nat > nat)).
% 0.31/0.44 thf(func_def_180, type, sK32: ((produc931990033lle_tv > $o) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_181, type, sK33: ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
% 0.31/0.44 thf(func_def_182, type, sK34: ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat)).
% 0.31/0.44 thf(func_def_183, type, sK35: (nat > (nat > nat) > nat)).
% 0.31/0.44 thf(func_def_184, type, sK36: (nat > nat > (nat > nat) > nat)).
% 0.31/0.44 thf(func_def_185, type, sK37: produc596913417at_nat).
% 0.31/0.44 thf(func_def_186, type, sK38: product_prod_nat_nat).
% 0.31/0.44 thf(func_def_187, type, sK39: (set_Pr840833727at_nat > produc596913417at_nat)).
% 0.31/0.44 thf(func_def_188, type, sK40: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > nat) > set_nat > nat)).
% 0.31/0.44 thf(func_def_189, type, sK41: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_190, type, sK42: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_191, type, sK43: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_192, type, sK44: (produc696645085lle_fm > list_char)).
% 0.31/0.44 thf(func_def_193, type, sK45: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_194, type, sK46: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_195, type, sK47: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_196, type, sK48: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_197, type, sK49: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_198, type, sK50: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_199, type, sK51: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_200, type, sK52: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_201, type, sK53: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_202, type, sK54: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_203, type, sK55: (nat > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_204, type, sK56: ((paraco1605129243lle_tv > nat) > nat)).
% 0.31/0.44 thf(func_def_205, type, sK57: (set_nat > (nat > paraco1605129243lle_tv) > nat)).
% 0.31/0.44 thf(func_def_206, type, sK58: (set_nat > (nat > paraco1605129243lle_tv) > nat)).
% 0.31/0.44 thf(func_def_207, type, sK59: ((produc194167194tv_nat > produc194167194tv_nat) > set_Pr1725653840tv_nat > produc194167194tv_nat)).
% 0.31/0.44 thf(func_def_208, type, sK60: ((produc194167194tv_nat > produc194167194tv_nat) > set_Pr1725653840tv_nat > produc194167194tv_nat)).
% 0.31/0.44 thf(func_def_209, type, sK61: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_210, type, sK62: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_211, type, sK63: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_212, type, sK64: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_213, type, sK65: ((paraco1604210848lle_fm > $o) > list_char)).
% 0.31/0.44 thf(func_def_214, type, sK66: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_215, type, sK67: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_216, type, sK68: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_217, type, sK69: ((nat > $o) > (nat > $o) > nat)).
% 0.31/0.44 thf(func_def_218, type, sK70: ((nat > nat) > nat)).
% 0.31/0.44 thf(func_def_219, type, sK71: (nat > (nat > nat) > nat)).
% 0.31/0.44 thf(func_def_220, type, sK72: (set_Pr13445366lle_tv > (produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 0.31/0.44 thf(func_def_221, type, sK73: (set_Pr13445366lle_tv > (produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 0.31/0.44 thf(func_def_222, type, sK74: (set_Pr13445366lle_tv > (produc270694976lle_tv > produc270694976lle_tv) > (produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 0.31/0.44 thf(func_def_223, type, sK75: produc194167194tv_nat).
% 0.31/0.44 thf(func_def_224, type, sK76: (produc931990033lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_225, type, sK77: (produc931990033lle_tv > nat > nat)).
% 0.31/0.44 thf(func_def_226, type, sK78: (produc931990033lle_tv > nat > nat)).
% 0.31/0.44 thf(func_def_227, type, sK79: (produc931990033lle_tv > nat)).
% 0.31/0.44 thf(func_def_228, type, sK80: (produc931990033lle_tv > nat > nat)).
% 0.31/0.44 thf(func_def_229, type, sK81: (produc931990033lle_tv > $o)).
% 0.31/0.44 thf(func_def_230, type, sK82: ((nat > nat) > nat)).
% 0.31/0.44 thf(func_def_231, type, sK83: ((nat > nat) > nat)).
% 0.31/0.44 thf(func_def_232, type, sK84: (paraco1605129243lle_tv > nat)).
% 0.31/0.44 thf(func_def_233, type, sK85: ((product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > product_prod_nat_nat)).
% 0.31/0.44 thf(func_def_234, type, sK86: (set_Pa1764573435lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_235, type, sK87: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_236, type, sK88: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_237, type, sK89: ((produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 0.31/0.44 thf(func_def_238, type, sK90: ((produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 0.31/0.44 thf(func_def_239, type, sK91: ((paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > $o) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_240, type, sK92: (set_Pr13445366lle_tv > (produc270694976lle_tv > produc270694976lle_tv) > (produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 0.31/0.44 thf(func_def_241, type, sK93: (nat > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_242, type, sK94: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_243, type, sK95: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_244, type, sK96: (paraco1605129243lle_tv > paraco1605129243lle_tv > $o)).
% 0.31/0.44 thf(func_def_245, type, sK97: (paraco1605129243lle_tv > paraco1605129243lle_tv > (nat > nat) > nat)).
% 0.31/0.44 thf(func_def_246, type, sK98: (nat > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_247, type, sK99: (set_Pr1725653840tv_nat > (produc194167194tv_nat > produc194167194tv_nat) > (produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
% 0.31/0.44 thf(func_def_248, type, sK100: ((nat > nat) > (nat > nat) > nat)).
% 0.31/0.44 thf(func_def_249, type, sK101: (set_Pr2014382200lle_tv > (produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 0.31/0.44 thf(func_def_250, type, sK102: (set_Pr2014382200lle_tv > (produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 0.31/0.44 thf(func_def_251, type, sK103: ((produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
% 0.31/0.44 thf(func_def_252, type, sK104: ((produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
% 0.31/0.44 thf(func_def_253, type, sK105: ((produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > (produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 0.31/0.44 thf(func_def_254, type, sK106: nat).
% 0.31/0.44 thf(func_def_255, type, sK107: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_256, type, sK108: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_257, type, sK109: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_258, type, sK110: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_259, type, sK111: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_260, type, sK112: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_261, type, sK113: (paraco1604210848lle_fm > list_char)).
% 0.31/0.44 thf(func_def_262, type, sK114: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_263, type, sK115: (set_Pr1723822845lle_tv > produc1443694919lle_tv)).
% 0.31/0.44 thf(func_def_264, type, sK116: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_265, type, sK117: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_266, type, sK118: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_267, type, sK119: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_268, type, sK120: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_269, type, sK121: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_270, type, sK122: (paraco1604210848lle_fm > list_char)).
% 0.31/0.44 thf(func_def_271, type, sK123: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_272, type, sK124: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_273, type, sK125: ((paraco1604210848lle_fm > paraco1605129243lle_tv) > set_Pr2120184979lle_fm > ((list_char > paraco1605129243lle_tv) > nat > nat) > produc931990033lle_tv > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_274, type, sK126: ((paraco1604210848lle_fm > paraco1605129243lle_tv) > set_Pr2120184979lle_fm > ((list_char > paraco1605129243lle_tv) > nat > nat) > produc931990033lle_tv > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_275, type, sK127: (set_nat > nat)).
% 0.31/0.44 thf(func_def_276, type, sK128: (set_Pr560526279lle_tv > set_Pr560526279lle_tv > nat > nat)).
% 0.31/0.44 thf(func_def_277, type, sK129: (set_Pr560526279lle_tv > set_Pr560526279lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_278, type, sK130: (set_Pr2120184979lle_fm > set_Pr2120184979lle_fm > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_279, type, sK131: (set_Pr2120184979lle_fm > set_Pr2120184979lle_fm > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_280, type, sK132: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_281, type, sK133: (paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_282, type, sK134: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > nat) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_283, type, sK135: (nat > (nat > nat) > nat)).
% 0.31/0.44 thf(func_def_284, type, sK136: (set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv)).
% 0.31/0.44 thf(func_def_285, type, sK137: ((nat > nat) > set_nat > (nat > nat) > nat)).
% 0.31/0.44 thf(func_def_286, type, sK138: ((product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr1986765409at_nat > product_prod_nat_nat)).
% 0.31/0.44 thf(func_def_287, type, sK139: ((nat > nat) > nat > nat)).
% 0.31/0.44 thf(func_def_288, type, sK140: (set_nat > (nat > nat) > (nat > nat) > nat)).
% 0.31/0.44 thf(func_def_289, type, sK141: produc696645085lle_fm).
% 0.31/0.44 thf(func_def_290, type, sK142: (produc696645085lle_fm > set_Pr2120184979lle_fm > (paraco1604210848lle_fm > paraco1604210848lle_fm) > ((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_291, type, sK143: (produc696645085lle_fm > set_Pr2120184979lle_fm > (paraco1604210848lle_fm > paraco1604210848lle_fm) > ((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_292, type, sK144: (set_Pr2120184979lle_fm > produc696645085lle_fm)).
% 0.31/0.44 thf(func_def_293, type, sK145: ((produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 0.31/0.44 thf(func_def_294, type, sK146: ((produc270694976lle_tv > produc270694976lle_tv) > produc270694976lle_tv)).
% 0.31/0.44 thf(func_def_295, type, sK147: (set_Pr560526279lle_tv > produc931990033lle_tv)).
% 0.31/0.44 thf(func_def_296, type, sK148: ((produc696645085lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_297, type, sK149: ((produc696645085lle_fm > $o) > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_298, type, sK150: ((nat > paraco1605129243lle_tv) > (paraco1605129243lle_tv > nat) > nat)).
% 0.31/0.44 thf(func_def_299, type, sK151: (set_Pr2014382200lle_tv > (produc1647334210lle_tv > produc1647334210lle_tv) > (produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 0.31/0.44 thf(func_def_300, type, sK152: ((produc696645085lle_fm > $o) > list_char > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_301, type, sK153: ((produc696645085lle_fm > $o) > paraco1604210848lle_fm)).
% 0.31/0.44 thf(func_def_302, type, sK154: (paraco1605129243lle_tv > nat)).
% 0.31/0.44 thf(func_def_303, type, sK155: (paraco1605129243lle_tv > $o)).
% 0.31/0.44 thf(func_def_304, type, sK156: ((nat > paraco1605129243lle_tv) > nat)).
% 0.31/0.44 thf(func_def_305, type, sK157: ((nat > paraco1605129243lle_tv) > nat)).
% 0.31/0.44 thf(func_def_306, type, sK158: (paraco1605129243lle_tv > (nat > paraco1605129243lle_tv) > nat)).
% 0.31/0.44 thf(func_def_307, type, sK159: (set_nat > (nat > nat) > (nat > nat) > nat)).
% 0.31/0.44 thf(func_def_308, type, sK160: (set_nat > (nat > nat) > (nat > nat) > nat)).
% 0.31/0.44 thf(func_def_309, type, sK161: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_310, type, sK162: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_311, type, sK163: ((paraco1605129243lle_tv > $o) > nat)).
% 0.31/0.44 thf(func_def_312, type, sK164: (set_Pr1986765409at_nat > product_prod_nat_nat)).
% 0.31/0.44 thf(func_def_313, type, sK165: (set_nat > (nat > nat) > nat)).
% 0.31/0.44 thf(func_def_314, type, sK166: (set_nat > (nat > nat) > nat)).
% 0.31/0.44 thf(func_def_315, type, sK167: produc1443694919lle_tv).
% 0.31/0.44 thf(func_def_316, type, sK168: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_317, type, sK169: (paraco1605129243lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_318, type, sK170: ((nat > nat) > paraco1605129243lle_tv > paraco1605129243lle_tv > $o)).
% 0.31/0.44 thf(func_def_319, type, sK171: ((nat > nat) > paraco1605129243lle_tv > paraco1605129243lle_tv > nat)).
% 0.31/0.44 thf(func_def_320, type, sK172: ((produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 0.31/0.44 thf(func_def_321, type, sK173: ((produc1647334210lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv)).
% 0.31/0.44 thf(func_def_322, type, sK174: ((nat > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_323, type, sK175: (paraco1605129243lle_tv > (nat > paraco1605129243lle_tv) > nat)).
% 0.31/0.44 thf(func_def_324, type, sK176: ((paraco1605129243lle_tv > $o) > $o)).
% 0.31/0.44 thf(func_def_325, type, sK177: ((paraco1605129243lle_tv > $o) > nat)).
% 0.31/0.44 thf(func_def_326, type, sK178: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_327, type, sK179: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_328, type, sK180: ((produc194167194tv_nat > produc194167194tv_nat) > set_Pr1725653840tv_nat > (produc194167194tv_nat > produc194167194tv_nat) > produc194167194tv_nat)).
% 0.31/0.44 thf(func_def_329, type, sK181: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_330, type, sK182: ((nat > nat) > nat)).
% 0.31/0.44 thf(func_def_331, type, sK183: ((nat > nat) > nat)).
% 0.31/0.44 thf(func_def_332, type, sK184: (set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_333, type, sK185: (set_Pa1764573435lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_334, type, sK186: ((nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > nat)).
% 0.31/0.44 thf(func_def_335, type, sK187: (set_nat > set_nat > (nat > nat) > set_nat)).
% 0.31/0.44 thf(func_def_336, type, sK188: (set_Pr1725653840tv_nat > produc194167194tv_nat)).
% 0.31/0.44 thf(func_def_337, type, sK189: ((produc931990033lle_tv > $o) > nat > nat)).
% 0.31/0.44 thf(func_def_338, type, sK190: ((produc931990033lle_tv > $o) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_339, type, sK191: (((nat > nat) > list_char > paraco1605129243lle_tv) > set_Pr560526279lle_tv > produc696645085lle_fm > (paraco1605129243lle_tv > paraco1604210848lle_fm) > nat > nat)).
% 0.31/0.44 thf(func_def_340, type, sK192: (((nat > nat) > list_char > paraco1605129243lle_tv) > set_Pr560526279lle_tv > produc696645085lle_fm > (paraco1605129243lle_tv > paraco1604210848lle_fm) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_341, type, sK193: (produc931990033lle_tv > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_342, type, sK194: (produc931990033lle_tv > nat > nat)).
% 0.31/0.44 thf(func_def_343, type, sK195: (set_Pr13445366lle_tv > produc270694976lle_tv)).
% 0.31/0.44 thf(func_def_344, type, sK196: produc270694976lle_tv).
% 0.31/0.44 thf(func_def_345, type, sK197: produc931990033lle_tv).
% 0.31/0.44 thf(func_def_346, type, sK198: ((nat > paraco1605129243lle_tv) > nat)).
% 0.31/0.44 thf(func_def_347, type, sK199: ((nat > paraco1605129243lle_tv) > nat)).
% 0.31/0.44 thf(func_def_348, type, sK200: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pr560526279lle_tv > produc931990033lle_tv > ((nat > nat) > nat > nat) > paraco1605129243lle_tv)).
% 0.31/0.44 thf(func_def_349, type, sK201: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pr560526279lle_tv > produc931990033lle_tv > ((nat > nat) > nat > nat) > nat > nat)).
% 0.31/0.44 thf(func_def_350, type, vNOT: ($o > $o)).
% 0.31/0.44 thf(f2,axiom,(
% 0.31/0.44 (((paraco1147068288nge_tv @ f @ (paraco1325918602e_eval @ i @ p2))) = ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062change__tv_Af_A_Ieval_Ai_Ap2_J_A_061_ADet_ATrue_092_060close_062)).
% 0.31/0.44 thf(f3,axiom,(
% 0.31/0.44 (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1147068288nge_tv @ f @ (paraco1325918602e_eval @ i @ p2))))),
% 0.31/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_ih2)).
% 0.31/0.44 thf(f359,conjecture,(
% 0.31/0.44 (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.31/0.44 thf(f360,negated_conjecture,(
% 0.31/0.44 ~ (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 inference(negated_conjecture,[status(cth)],[f359])).
% 0.31/0.44 thf(f371,plain,(
% 0.31/0.44 (((paraco1147068288nge_tv @ f @ (paraco1325918602e_eval @ i @ p2))) = ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 inference(rectify,[],[f2])).
% 0.31/0.44 thf(f372,plain,(
% 0.31/0.44 (((paraco1147068288nge_tv @ f @ (paraco1325918602e_eval @ i @ p2))) = ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 inference(fool_elimination,[],[f371])).
% 0.31/0.44 thf(f386,plain,(
% 0.31/0.44 ~ (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 inference(rectify,[],[f360])).
% 0.31/0.44 thf(f387,plain,(
% 0.31/0.44 ~ (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 inference(fool_elimination,[],[f386])).
% 0.31/0.44 thf(f853,plain,(
% 0.31/0.44 (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) != ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 inference(flattening,[],[f387])).
% 0.31/0.44 thf(f1746,plain,(
% 0.31/0.44 (((paraco1147068288nge_tv @ f @ (paraco1325918602e_eval @ i @ p2))) = ((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)))),
% 0.31/0.44 inference(cnf_transformation,[],[f3])).
% 0.31/0.44 thf(f1818,plain,(
% 0.31/0.44 (((paraco1147068288nge_tv @ f @ (paraco1325918602e_eval @ i @ p2))) = ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 inference(cnf_transformation,[],[f372])).
% 0.31/0.44 thf(f2059,plain,(
% 0.31/0.44 (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) != ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 inference(cnf_transformation,[],[f853])).
% 0.31/0.44 thf(f2332,definition,(
% 0.31/0.44 spl202_5 <=> (((paraco1147068288nge_tv @ f @ (paraco1325918602e_eval @ i @ p2))) = ((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)))),
% 0.31/0.44 introduced(definition,[new_symbols(definition,[spl202_5])],[avatar_definition])).
% 0.31/0.44 thf(f2335,plain,(
% 0.31/0.44 spl202_5),
% 0.31/0.44 inference(avatar_split_clause,[],[f1746,f2332])).
% 0.31/0.44 thf(f2452,definition,(
% 0.31/0.44 spl202_29 <=> (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 introduced(definition,[new_symbols(definition,[spl202_29])],[avatar_definition])).
% 0.31/0.44 thf(f2455,plain,(
% 0.31/0.44 ~spl202_29),
% 0.31/0.44 inference(avatar_split_clause,[],[f2059,f2452])).
% 0.31/0.44 thf(f2502,definition,(
% 0.31/0.44 spl202_39 <=> (((paraco1147068288nge_tv @ f @ (paraco1325918602e_eval @ i @ p2))) = ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 introduced(definition,[new_symbols(definition,[spl202_39])],[avatar_definition])).
% 0.31/0.44 thf(f2505,plain,(
% 0.31/0.44 spl202_39),
% 0.31/0.44 inference(avatar_split_clause,[],[f1818,f2502])).
% 0.31/0.44 thf(f2536,definition,(
% 0.31/0.44 (((paraco1147068288nge_tv @ f @ (paraco1325918602e_eval @ i @ p2))) != ((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2))) | (((paraco1147068288nge_tv @ f @ (paraco1325918602e_eval @ i @ p2))) != ((paraco1344940915le_Det @ $true))) | (((paraco1325918602e_eval @ (paraco761681009ge_int @ f @ i) @ p2)) = ((paraco1344940915le_Det @ $true)))),
% 0.31/0.44 introduced(theory,[theory_tautology_sat_conflict])).
% 0.31/0.44 cnf(s5, plain, spl202_5, inference(sat_conversion,[],[f2335])).
% 0.31/0.44 cnf(s29, plain, ~spl202_29, inference(sat_conversion,[],[f2455])).
% 0.31/0.44 cnf(s39, plain, spl202_39, inference(sat_conversion,[],[f2505])).
% 0.31/0.44 cnf(s46, plain, ~spl202_5 | spl202_29 | ~spl202_39, inference(sat_conversion,[],[f2536])).
% 0.31/0.44 cnf(s47, plain, ~spl202_5, inference(rat,[],[s46,s39,s29])).
% 0.31/0.44 cnf(s48, plain, $false, inference(rat,[],[s5,s47])).
% 0.31/0.44 thf(f2537,plain,(
% 0.31/0.44 $false),
% 0.31/0.44 inference(avatar_sat_refutation,[],[s48])).
% 0.31/0.44 % SZS output end Proof for theBenchmark
% 0.31/0.44 % (3135522)------------------------------
% 0.31/0.44 % (3135522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.44 % (3135522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.44 % (3135522)CaDiCaL version: 2.1.3
% 0.31/0.44 % (3135522)Termination reason: Refutation
% 0.31/0.44 % (3135522)Time elapsed: 0.070 s
% 0.31/0.44 % (3135522)Peak memory usage: 15 MB
% 0.31/0.44 % (3135522)Instructions burned: 144 (million)
% 0.31/0.44 % (3135508)Success in time 0.116 s
% 0.31/0.44 % Vampire exiting
%------------------------------------------------------------------------------