%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP136^2 : 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 : 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 0.32s 0.43s
% Output : Refutation 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP136^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n014.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 19:58:45 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.20/0.29 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
% 0.32/0.43 % (3135361)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.32/0.43 % (3135377)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=70899634:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.32/0.43 % (3135378)lrs+10_16_si=on:nwc=1.5:random_seed=2765792432:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.32/0.43 % (3135383)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.32/0.43 % (3135383)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
% 0.32/0.43 % (3135382)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2419576528:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.32/0.43 % (3135379)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1702499361:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.32/0.43 % (3135380)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=3827147943: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)
% 0.32/0.43 % (3135381)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=267786622:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.32/0.43 % (3135379)Instruction limit reached!
% 0.32/0.43 % (3135379)------------------------------
% 0.32/0.43 % (3135379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135379)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135379)Termination reason: Instruction limit
% 0.32/0.43 % (3135379)Termination phase: shuffling
% 0.32/0.43 % (3135379)Time elapsed: 0.002 s
% 0.32/0.43 % (3135379)Peak memory usage: 10 MB
% 0.32/0.43 % (3135379)Instructions burned: 3 (million)
% 0.32/0.43 % (3135383)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=1686304987:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.32/0.43 % (3135378)Instruction limit reached!
% 0.32/0.43 % (3135378)------------------------------
% 0.32/0.43 % (3135378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135378)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135378)Termination reason: Instruction limit
% 0.32/0.43 % (3135378)Termination phase: Property scanning
% 0.32/0.43 % (3135378)Time elapsed: 0.009 s
% 0.32/0.43 % (3135378)Peak memory usage: 10 MB
% 0.32/0.43 % (3135378)Instructions burned: 18 (million)
% 0.32/0.43 % (3135377)Instruction limit reached!
% 0.32/0.43 % (3135377)------------------------------
% 0.32/0.43 % (3135377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135377)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135377)Termination reason: Instruction limit
% 0.32/0.43 % (3135377)Termination phase: Property scanning
% 0.32/0.43 % (3135377)Time elapsed: 0.024 s
% 0.32/0.43 % (3135377)Peak memory usage: 12 MB
% 0.32/0.43 % (3135377)Instructions burned: 90 (million)
% 0.32/0.43 % (3135381)Instruction limit reached!
% 0.32/0.43 % (3135381)------------------------------
% 0.32/0.43 % (3135381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135381)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135381)Termination reason: Instruction limit
% 0.32/0.43 % (3135381)Termination phase: Property scanning
% 0.32/0.43 % (3135381)Time elapsed: 0.015 s
% 0.32/0.43 % (3135381)Peak memory usage: 10 MB
% 0.32/0.43 % (3135381)Instructions burned: 26 (million)
% 0.32/0.43 % (3135402)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.32/0.43 % (3135397)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=285788775:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.43 % (3135402)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3775738125:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.32/0.43 % (3135402)Instruction limit reached!
% 0.32/0.43 % (3135402)------------------------------
% 0.32/0.43 % (3135402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135402)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135402)Termination reason: Instruction limit
% 0.32/0.43 % (3135402)Termination phase: shuffling
% 0.32/0.43 % (3135402)Time elapsed: 0.002 s
% 0.32/0.43 % (3135402)Peak memory usage: 10 MB
% 0.32/0.43 % (3135402)Instructions burned: 7 (million)
% 0.32/0.43 % (3135397)Instruction limit reached!
% 0.32/0.43 % (3135397)------------------------------
% 0.32/0.43 % (3135397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135397)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135397)Termination reason: Instruction limit
% 0.32/0.43 % (3135397)Termination phase: shuffling
% 0.32/0.43 % (3135397)Time elapsed: 0.003 s
% 0.32/0.43 % (3135397)Peak memory usage: 10 MB
% 0.32/0.43 % (3135397)Instructions burned: 3 (million)
% 0.32/0.43 % (3135399)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=858007057:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.32/0.43 % (3135399)Instruction limit reached!
% 0.32/0.43 % (3135399)------------------------------
% 0.32/0.43 % (3135399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135399)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135399)Termination reason: Instruction limit
% 0.32/0.43 % (3135399)Termination phase: shuffling
% 0.32/0.43 % (3135399)Time elapsed: 0.004 s
% 0.32/0.43 % (3135399)Peak memory usage: 10 MB
% 0.32/0.43 % (3135399)Instructions burned: 6 (million)
% 0.32/0.43 % (3135403)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2236594955:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.32/0.43 % (3135382)Instruction limit reached!
% 0.32/0.43 % (3135382)------------------------------
% 0.32/0.43 % (3135382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135382)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135382)Termination reason: Instruction limit
% 0.32/0.43 % (3135382)Termination phase: Property scanning
% 0.32/0.43 % (3135382)Time elapsed: 0.038 s
% 0.32/0.43 % (3135382)Peak memory usage: 12 MB
% 0.32/0.43 % (3135382)Instructions burned: 76 (million)
% 0.32/0.43 % (3135410)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=2633167801:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.32/0.43 % (3135409)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
% 0.32/0.43 % (3135409)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.32/0.43 % (3135403)Instruction limit reached!
% 0.32/0.43 % (3135403)------------------------------
% 0.32/0.43 % (3135403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135403)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135403)Termination reason: Instruction limit
% 0.32/0.43 % (3135403)Termination phase: shuffling
% 0.32/0.43 % (3135403)Time elapsed: 0.007 s
% 0.32/0.43 % (3135403)Peak memory usage: 10 MB
% 0.32/0.43 % (3135403)Instructions burned: 14 (million)
% 0.32/0.43 % (3135409)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=830715974:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.32/0.43 % (3135412)lrs+10_1_si=on:cs=on:random_seed=1174487642:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.32/0.43 % (3135415)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.32/0.43 % (3135412)Instruction limit reached!
% 0.32/0.43 % (3135412)------------------------------
% 0.32/0.43 % (3135412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135412)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135412)Termination reason: Instruction limit
% 0.32/0.43 % (3135412)Termination phase: shuffling
% 0.32/0.43 % (3135412)Time elapsed: 0.004 s
% 0.32/0.43 % (3135412)Peak memory usage: 10 MB
% 0.32/0.43 % (3135412)Instructions burned: 8 (million)
% 0.32/0.43 % (3135415)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=3968743904:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.43 % (3135410)Instruction limit reached!
% 0.32/0.43 % (3135410)------------------------------
% 0.32/0.43 % (3135410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135410)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135410)Termination reason: Instruction limit
% 0.32/0.43 % (3135410)Termination phase: Preprocessing 3
% 0.32/0.43 % (3135410)Time elapsed: 0.021 s
% 0.32/0.43 % (3135410)Peak memory usage: 12 MB
% 0.32/0.43 % (3135410)Instructions burned: 90 (million)
% 0.32/0.43 % (3135415)Instruction limit reached!
% 0.32/0.43 % (3135415)------------------------------
% 0.32/0.43 % (3135415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135415)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135415)Termination reason: Instruction limit
% 0.32/0.43 % (3135415)Termination phase: shuffling
% 0.32/0.43 % (3135415)Time elapsed: 0.002 s
% 0.32/0.43 % (3135415)Peak memory usage: 10 MB
% 0.32/0.43 % (3135415)Instructions burned: 3 (million)
% 0.32/0.43 % (3135416)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3912065437:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.32/0.43 % (3135380) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3135361-3135380"...
% 0.32/0.43 % (3135380)...printing done.
% 0.32/0.43 % (3135409)Instruction limit reached!
% 0.32/0.43 % (3135409)------------------------------
% 0.32/0.43 % (3135409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135409)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135409)Termination reason: Instruction limit
% 0.32/0.43 % (3135409)Termination phase: shuffling
% 0.32/0.43 % (3135409)Time elapsed: 0.024 s
% 0.32/0.43 % (3135409)Peak memory usage: 11 MB
% 0.32/0.43 % (3135409)Instructions burned: 29 (million)
% 0.32/0.43 % (3135380)Refutation found. Thanks to Tanya!
% 0.32/0.43 % SZS status Theorem for theBenchmark
% 0.32/0.43 % SZS output start Proof for theBenchmark
% 0.32/0.43 thf(type_def_5, type, paraco415392788lle_tv: $tType).
% 0.32/0.43 thf(type_def_6, type, paraco414474393lle_fm: $tType).
% 0.32/0.43 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 0.32/0.43 thf(type_def_8, type, char: $tType).
% 0.32/0.43 thf(type_def_9, type, list: $tType > $tType).
% 0.32/0.43 thf(type_def_10, type, set: $tType > $tType).
% 0.32/0.43 thf(type_def_11, type, nat: $tType).
% 0.32/0.43 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.32/0.43 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.32/0.43 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 0.32/0.43 thf(func_def_2, type, top: !>[X0: $tType]:($o)).
% 0.32/0.43 thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 0.32/0.43 thf(func_def_4, type, preorder: !>[X0: $tType]:($o)).
% 0.32/0.43 thf(func_def_5, type, order_top: !>[X0: $tType]:($o)).
% 0.32/0.43 thf(func_def_6, type, bNF_fstOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X0 @ X1))).
% 0.32/0.43 thf(func_def_7, type, bNF_pick_middlep: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > X1))).
% 0.32/0.43 thf(func_def_8, type, bNF_sndOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 0.32/0.43 thf(func_def_9, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 0.32/0.43 thf(func_def_10, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 0.32/0.43 thf(func_def_11, type, the_inv_into: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 0.32/0.43 thf(func_def_12, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.32/0.43 thf(func_def_13, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.32/0.43 thf(func_def_14, type, top_top: !>[X0: $tType]:(X0)).
% 0.32/0.43 thf(func_def_15, type, paraco753463838ge_int: ((nat > nat) > (list @ char > paraco415392788lle_tv) > list @ char > paraco415392788lle_tv)).
% 0.32/0.43 thf(func_def_16, type, paraco1920534163nge_tv: ((nat > nat) > paraco415392788lle_tv > paraco415392788lle_tv)).
% 0.32/0.43 thf(func_def_17, type, paraco2077297190tv_rel: (product_prod @ (nat > nat) @ paraco415392788lle_tv > product_prod @ (nat > nat) @ paraco415392788lle_tv > $o)).
% 0.32/0.43 thf(func_def_18, type, paraco876059933e_eval: ((list @ char > paraco415392788lle_tv) > paraco414474393lle_fm > paraco415392788lle_tv)).
% 0.32/0.43 thf(func_def_19, type, paraco2100061555le_Con: (paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_20, type, paraco2084319816le_Eql: (paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_21, type, paraco1628874225le_Eql: (paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_22, type, paraco329115265le_Neg: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_23, type, paraco27778325le_Pro: (list @ char > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_24, type, paraco251304083_Truth: paraco414474393lle_fm).
% 0.32/0.43 thf(func_def_25, type, paraco1246693743ase_fm: !>[X0: $tType]:(((list @ char > X0) > X0 > (paraco414474393lle_fm > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0) > paraco414474393lle_fm > X0))).
% 0.32/0.43 thf(func_def_26, type, paraco2040174112le_Det: ($o > paraco415392788lle_tv)).
% 0.32/0.43 thf(func_def_27, type, paraco676387099_Indet: (nat > paraco415392788lle_tv)).
% 0.32/0.43 thf(func_def_28, type, paraco490622181ase_tv: !>[X0: $tType]:((($o > X0) > (nat > X0) > paraco415392788lle_tv > X0))).
% 0.32/0.43 thf(func_def_29, type, paraco152590079rec_tv: !>[X0: $tType]:((($o > X0) > (nat > X0) > paraco415392788lle_tv > X0))).
% 0.32/0.43 thf(func_def_30, type, paraco769098683_valid: (paraco414474393lle_fm > $o)).
% 0.32/0.43 thf(func_def_31, type, paraco2086025920lid_in: (set @ nat > paraco414474393lle_fm > $o)).
% 0.32/0.43 thf(func_def_32, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.32/0.43 thf(func_def_33, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 0.32/0.43 thf(func_def_34, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X2 @ X0 > product_prod @ X2 @ X1))).
% 0.32/0.43 thf(func_def_35, type, product_case_bool: !>[X0: $tType]:((X0 > X0 > $o > X0))).
% 0.32/0.43 thf(func_def_36, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 0.32/0.43 thf(func_def_37, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.32/0.43 thf(func_def_38, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 0.32/0.43 thf(func_def_39, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.32/0.43 thf(func_def_40, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.32/0.43 thf(func_def_41, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.32/0.43 thf(func_def_42, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 0.32/0.43 thf(func_def_43, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 0.32/0.43 thf(func_def_44, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 0.32/0.43 thf(func_def_45, type, total_on: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > $o))).
% 0.32/0.43 thf(func_def_46, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.32/0.43 thf(func_def_47, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 0.32/0.43 thf(func_def_48, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 0.32/0.43 thf(func_def_49, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 0.32/0.43 thf(func_def_50, type, wf: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 0.32/0.43 thf(func_def_51, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 0.32/0.43 thf(func_def_52, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.32/0.43 thf(func_def_53, type, f: (nat > nat)).
% 0.32/0.43 thf(func_def_54, type, i: (list @ char > paraco415392788lle_tv)).
% 0.32/0.43 thf(func_def_55, type, p1: paraco414474393lle_fm).
% 0.32/0.43 thf(func_def_56, type, p2: paraco414474393lle_fm).
% 0.32/0.43 thf(func_def_60, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.32/0.43 thf(func_def_61, type, vIMP: ($o > $o > $o)).
% 0.32/0.43 thf(func_def_62, type, db0: !>[X0: $tType]:(X0)).
% 0.32/0.43 thf(func_def_63, type, db2: !>[X0: $tType]:(X0)).
% 0.32/0.43 thf(func_def_64, type, db1: !>[X0: $tType]:(X0)).
% 0.32/0.43 thf(func_def_65, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.32/0.43 thf(func_def_66, type, db3: !>[X0: $tType]:(X0)).
% 0.32/0.43 thf(func_def_67, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.32/0.43 thf(func_def_68, type, vAND: ($o > $o > $o)).
% 0.32/0.43 thf(func_def_69, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.32/0.43 thf(func_def_70, type, vNOT: ($o > $o)).
% 0.32/0.43 thf(func_def_71, type, vOR: ($o > $o > $o)).
% 0.32/0.43 thf(func_def_72, type, sP0: ((paraco414474393lle_fm > $o) > $o)).
% 0.32/0.43 thf(func_def_73, type, sP1: ((paraco414474393lle_fm > $o) > $o)).
% 0.32/0.43 thf(func_def_74, type, sP2: ((paraco414474393lle_fm > $o) > $o)).
% 0.32/0.43 thf(func_def_75, type, sP3: ((paraco414474393lle_fm > $o) > $o)).
% 0.32/0.43 thf(func_def_76, type, sK4: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > X1) > set @ X0 > X1))).
% 0.32/0.43 thf(func_def_77, type, sK5: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 0.32/0.43 thf(func_def_78, type, sK6: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 0.32/0.43 thf(func_def_79, type, sK7: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X0 > $o) > X1))).
% 0.32/0.43 thf(func_def_80, type, sK8: ((paraco415392788lle_tv > $o) > nat)).
% 0.32/0.43 thf(func_def_81, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.32/0.43 thf(func_def_82, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X0))).
% 0.32/0.43 thf(func_def_83, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X3))).
% 0.32/0.43 thf(func_def_84, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X1))).
% 0.32/0.43 thf(func_def_85, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X2))).
% 0.32/0.43 thf(func_def_86, type, sK14: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 0.32/0.43 thf(func_def_87, type, sK15: (paraco415392788lle_tv > nat)).
% 0.32/0.43 thf(func_def_88, type, sK16: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1 > X0))).
% 0.32/0.43 thf(func_def_89, type, sK17: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1))).
% 0.32/0.43 thf(func_def_90, type, sK18: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 0.32/0.43 thf(func_def_91, type, sK19: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 0.32/0.43 thf(func_def_92, type, sK20: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X0))).
% 0.32/0.43 thf(func_def_93, type, sK21: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1))).
% 0.32/0.43 thf(func_def_94, type, sK22: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > set @ product_prod @ X1 @ X1 > X1 > X0))).
% 0.32/0.43 thf(func_def_95, type, sK23: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 0.32/0.43 thf(func_def_96, type, sK24: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > $o))).
% 0.32/0.43 thf(func_def_97, type, sK25: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 0.32/0.43 thf(func_def_98, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X1))).
% 0.32/0.43 thf(func_def_99, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X0))).
% 0.32/0.43 thf(func_def_100, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X2))).
% 0.32/0.43 thf(func_def_101, type, sK29: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 0.32/0.43 thf(func_def_102, type, sK30: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 0.32/0.43 thf(func_def_103, type, sK31: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.32/0.43 thf(func_def_104, type, sK32: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.32/0.43 thf(func_def_105, type, sK33: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0 > X0))).
% 0.32/0.43 thf(func_def_106, type, sK34: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.32/0.43 thf(func_def_107, type, sK35: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.32/0.43 thf(func_def_108, type, sK36: (product_prod @ (nat > nat) @ paraco415392788lle_tv > nat > nat)).
% 0.32/0.43 thf(func_def_109, type, sK37: (product_prod @ (nat > nat) @ paraco415392788lle_tv > nat)).
% 0.32/0.43 thf(func_def_110, type, sK38: (product_prod @ (nat > nat) @ paraco415392788lle_tv > nat > nat)).
% 0.32/0.43 thf(func_def_111, type, sK39: (product_prod @ (nat > nat) @ paraco415392788lle_tv > $o)).
% 0.32/0.43 thf(func_def_112, type, sK40: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_113, type, sK41: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_114, type, sK42: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_115, type, sK43: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_116, type, sK44: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_117, type, sK45: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_118, type, sK46: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_119, type, sK47: ((paraco414474393lle_fm > $o) > list @ char)).
% 0.32/0.43 thf(func_def_120, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X3 > $o) > X4))).
% 0.32/0.43 thf(func_def_121, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X3 > $o) > X1))).
% 0.32/0.43 thf(func_def_122, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X3 > $o) > X0))).
% 0.32/0.43 thf(func_def_123, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X3 > $o) > X3))).
% 0.32/0.43 thf(func_def_124, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ X3 > $o) > X2))).
% 0.32/0.43 thf(func_def_125, type, sK53: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 0.32/0.43 thf(func_def_126, type, sK54: !>[X0: $tType, X1: $tType]:((X0 > product_prod @ X0 @ X1 > X1))).
% 0.32/0.43 thf(func_def_127, type, sK55: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 0.32/0.43 thf(func_def_128, type, sK56: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 0.32/0.43 thf(func_def_129, type, sK57: (paraco415392788lle_tv > nat)).
% 0.32/0.43 thf(func_def_130, type, sK58: (paraco415392788lle_tv > $o)).
% 0.32/0.43 thf(func_def_131, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X1))).
% 0.32/0.43 thf(func_def_132, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X0))).
% 0.32/0.43 thf(func_def_133, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X2))).
% 0.32/0.43 thf(func_def_134, type, sK62: !>[X0: $tType]:(X0)).
% 0.32/0.43 thf(func_def_135, type, sK63: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0))).
% 0.32/0.43 thf(func_def_136, type, sK64: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > (X1 > X0) > X1))).
% 0.32/0.43 thf(func_def_137, type, sK65: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 0.32/0.43 thf(func_def_138, type, sK66: !>[X0: $tType]:((set @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 0.32/0.43 thf(func_def_139, type, sK67: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_140, type, sK68: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_141, type, sK69: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_142, type, sK70: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_143, type, sK71: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_144, type, sK72: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_145, type, sK73: ((paraco414474393lle_fm > $o) > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_146, type, sK74: ((paraco414474393lle_fm > $o) > list @ char)).
% 0.32/0.43 thf(func_def_147, type, sK75: (paraco415392788lle_tv > paraco415392788lle_tv > $o)).
% 0.32/0.43 thf(func_def_148, type, sK76: (paraco415392788lle_tv > (nat > nat) > paraco415392788lle_tv > nat)).
% 0.32/0.43 thf(func_def_149, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X2 @ X6 > $o) > X3))).
% 0.32/0.43 thf(func_def_150, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X2 @ X6 > $o) > X4))).
% 0.32/0.43 thf(func_def_151, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X2 @ X6 > $o) > X1))).
% 0.32/0.43 thf(func_def_152, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X2 @ X6 > $o) > X0))).
% 0.32/0.43 thf(func_def_153, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X2 @ X6 > $o) > X6))).
% 0.32/0.43 thf(func_def_154, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X2 @ X6 > $o) > X2))).
% 0.32/0.43 thf(func_def_155, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X2 @ X6 > $o) > X5))).
% 0.32/0.43 thf(func_def_156, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ X1 > (X0 > X3) > (X2 > X1) > set @ product_prod @ X0 @ X2 > X2))).
% 0.32/0.43 thf(func_def_157, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ X1 > (X0 > X3) > (X2 > X1) > set @ product_prod @ X0 @ X2 > X0))).
% 0.32/0.43 thf(func_def_158, type, sK86: (paraco415392788lle_tv > paraco415392788lle_tv > (nat > nat) > $o)).
% 0.32/0.43 thf(func_def_159, type, sK87: (paraco415392788lle_tv > paraco415392788lle_tv > (nat > nat) > nat)).
% 0.32/0.43 thf(func_def_160, type, sK88: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 0.32/0.43 thf(func_def_161, type, sK89: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0))).
% 0.32/0.43 thf(func_def_162, type, sK90: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 0.32/0.43 thf(func_def_163, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ X3 > X2))).
% 0.32/0.43 thf(func_def_164, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ X3 > X4))).
% 0.32/0.43 thf(func_def_165, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ X3 > X3))).
% 0.32/0.43 thf(func_def_166, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ X3 > X0))).
% 0.32/0.43 thf(func_def_167, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X0 @ X3 > X1))).
% 0.32/0.43 thf(func_def_168, type, sK96: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.32/0.43 thf(func_def_169, type, sK97: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.32/0.43 thf(func_def_170, type, sK98: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X1) > X1))).
% 0.32/0.43 thf(func_def_171, type, sK99: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X1) > X1))).
% 0.32/0.43 thf(func_def_172, type, sK100: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.32/0.43 thf(func_def_173, type, sK101: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.32/0.43 thf(func_def_174, type, sK102: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.32/0.43 thf(func_def_175, type, sK103: (((nat > nat) > paraco415392788lle_tv > $o) > nat > nat)).
% 0.32/0.43 thf(func_def_176, type, sK104: (((nat > nat) > paraco415392788lle_tv > $o) > nat)).
% 0.32/0.43 thf(func_def_177, type, sK105: (((nat > nat) > paraco415392788lle_tv > $o) > nat > nat)).
% 0.32/0.43 thf(func_def_178, type, sK106: (((nat > nat) > paraco415392788lle_tv > $o) > $o)).
% 0.32/0.43 thf(func_def_179, type, sK107: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_180, type, sK108: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_181, type, sK109: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_182, type, sK110: (paraco414474393lle_fm > list @ char)).
% 0.32/0.43 thf(func_def_183, type, sK111: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_184, type, sK112: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_185, type, sK113: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_186, type, sK114: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_187, type, sK115: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X1 > X0))).
% 0.32/0.43 thf(func_def_188, type, sK116: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char)).
% 0.32/0.43 thf(func_def_189, type, sK117: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 0.32/0.43 thf(func_def_190, type, sK118: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_191, type, sK119: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 0.32/0.43 thf(func_def_192, type, sK120: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_193, type, sK121: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_194, type, sK122: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 0.32/0.43 thf(func_def_195, type, sK123: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 0.32/0.43 thf(func_def_196, type, sK124: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_197, type, sK125: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_198, type, sK126: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 0.32/0.43 thf(func_def_199, type, sK127: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_200, type, sK128: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > list @ char > paraco415392788lle_tv)).
% 0.32/0.43 thf(func_def_201, type, sK129: (product_prod @ (list @ char > paraco415392788lle_tv) @ paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_202, type, sK130: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 0.32/0.43 thf(func_def_203, type, sK131: !>[X0: $tType, X1: $tType]:((X1 > (X1 > X0) > X0 > X1))).
% 0.32/0.43 thf(func_def_204, type, sK132: !>[X0: $tType, X1: $tType]:((X0 > product_prod @ X1 @ X0 > X1))).
% 0.32/0.43 thf(func_def_205, type, sK133: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 0.32/0.43 thf(func_def_206, type, sK134: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 0.32/0.43 thf(func_def_207, type, sK135: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 0.32/0.43 thf(func_def_208, type, sK136: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X0 > X1))).
% 0.32/0.43 thf(func_def_209, type, sK137: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.32/0.43 thf(func_def_210, type, sK138: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.32/0.43 thf(func_def_211, type, sK139: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.32/0.43 thf(func_def_212, type, sK140: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1))).
% 0.32/0.43 thf(func_def_213, type, sK141: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > X0))).
% 0.32/0.43 thf(func_def_214, type, sK142: ((paraco415392788lle_tv > $o) > nat)).
% 0.32/0.43 thf(func_def_215, type, sK143: ((paraco415392788lle_tv > $o) > $o)).
% 0.32/0.43 thf(func_def_216, type, sK144: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ X2 > X0))).
% 0.32/0.43 thf(func_def_217, type, sK145: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ X2 > X3))).
% 0.32/0.43 thf(func_def_218, type, sK146: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ X2 > X4))).
% 0.32/0.43 thf(func_def_219, type, sK147: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ X2 > X5))).
% 0.32/0.43 thf(func_def_220, type, sK148: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ X2 > X2))).
% 0.32/0.43 thf(func_def_221, type, sK149: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ X2 > X1))).
% 0.32/0.43 thf(func_def_222, type, sK150: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.32/0.43 thf(func_def_223, type, sK151: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X3 @ X1 > X5))).
% 0.32/0.43 thf(func_def_224, type, sK152: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X3 @ X1 > X1))).
% 0.32/0.43 thf(func_def_225, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X3 @ X1 > X3))).
% 0.32/0.43 thf(func_def_226, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X3 @ X1 > X6))).
% 0.32/0.43 thf(func_def_227, type, sK155: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X3 @ X1 > X2))).
% 0.32/0.43 thf(func_def_228, type, sK156: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X3 @ X1 > X0))).
% 0.32/0.43 thf(func_def_229, type, sK157: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X6 @ product_prod @ X3 @ X1 > X4))).
% 0.32/0.43 thf(func_def_230, type, sK158: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.32/0.43 thf(func_def_231, type, sK159: (paraco414474393lle_fm > list @ char)).
% 0.32/0.43 thf(func_def_232, type, sK160: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_233, type, sK161: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_234, type, sK162: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_235, type, sK163: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_236, type, sK164: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_237, type, sK165: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_238, type, sK166: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 0.32/0.43 thf(func_def_239, type, sK167: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.32/0.43 thf(func_def_240, type, sK168: !>[X0: $tType]:((set @ X0 > X0))).
% 0.32/0.43 thf(func_def_241, type, sK169: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X4))).
% 0.32/0.43 thf(func_def_242, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X0))).
% 0.32/0.43 thf(func_def_243, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X1))).
% 0.32/0.43 thf(func_def_244, type, sK172: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X3))).
% 0.32/0.43 thf(func_def_245, type, sK173: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X2))).
% 0.32/0.43 thf(func_def_246, type, sK174: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X5))).
% 0.32/0.43 thf(func_def_247, type, sK175: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 0.32/0.43 thf(func_def_248, type, sK176: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X1))).
% 0.32/0.43 thf(func_def_249, type, sK177: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X2))).
% 0.32/0.43 thf(func_def_250, type, sK178: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X3))).
% 0.32/0.43 thf(func_def_251, type, sK179: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X0))).
% 0.32/0.43 thf(func_def_252, type, sK180: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > X0))).
% 0.32/0.43 thf(f1,axiom,(
% 0.32/0.43 (((paraco876059933e_eval @ i @ p2)) != ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_a_H_H_H)).
% 0.32/0.43 thf(f5,axiom,(
% 0.32/0.43 (((paraco2040174112le_Det @ $false)) = ((paraco876059933e_eval @ i @ p2)))),
% 0.32/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_a)).
% 0.32/0.43 thf(f10,axiom,(
% 0.32/0.43 (((paraco876059933e_eval @ (paraco753463838ge_int @ f @ i) @ p2)) = ((paraco1920534163nge_tv @ f @ (paraco876059933e_eval @ i @ p2))))),
% 0.32/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_ih2)).
% 0.32/0.43 thf(f12,axiom,(
% 0.32/0.43 (((paraco2040174112le_Det @ $false)) = ((paraco1920534163nge_tv @ f @ (paraco876059933e_eval @ i @ p2))))),
% 0.32/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11__092_060open_062change__tv_Af_A_Ieval_Ai_Ap2_J_A_061_ADet_AFalse_092_060close_062)).
% 0.32/0.43 thf(f278,conjecture,(
% 0.32/0.43 (((paraco876059933e_eval @ (paraco753463838ge_int @ f @ i) @ p2)) != ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.32/0.43 thf(f279,negated_conjecture,(
% 0.32/0.43 ~ (((paraco876059933e_eval @ (paraco753463838ge_int @ f @ i) @ p2)) != ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 inference(negated_conjecture,[status(cth)],[f278])).
% 0.32/0.43 thf(f280,plain,(
% 0.32/0.43 (((paraco2040174112le_Det @ $false)) = ((paraco1920534163nge_tv @ f @ (paraco876059933e_eval @ i @ p2))))),
% 0.32/0.43 inference(rectify,[],[f12])).
% 0.32/0.43 thf(f281,plain,(
% 0.32/0.43 (((paraco1920534163nge_tv @ f @ (paraco876059933e_eval @ i @ p2))) = ((paraco2040174112le_Det @ $false)))),
% 0.32/0.43 inference(fool_elimination,[],[f280])).
% 0.32/0.43 thf(f401,plain,(
% 0.32/0.43 (((paraco2040174112le_Det @ $false)) = ((paraco876059933e_eval @ i @ p2)))),
% 0.32/0.43 inference(rectify,[],[f5])).
% 0.32/0.43 thf(f402,plain,(
% 0.32/0.43 (((paraco876059933e_eval @ i @ p2)) = ((paraco2040174112le_Det @ $false)))),
% 0.32/0.43 inference(fool_elimination,[],[f401])).
% 0.32/0.43 thf(f489,plain,(
% 0.32/0.43 (((paraco876059933e_eval @ i @ p2)) != ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 inference(rectify,[],[f1])).
% 0.32/0.43 thf(f490,plain,(
% 0.32/0.43 (((paraco876059933e_eval @ i @ p2)) != ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 inference(fool_elimination,[],[f489])).
% 0.32/0.43 thf(f503,plain,(
% 0.32/0.43 ~ (((paraco876059933e_eval @ (paraco753463838ge_int @ f @ i) @ p2)) != ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 inference(rectify,[],[f279])).
% 0.32/0.43 thf(f504,plain,(
% 0.32/0.43 ~ (((paraco876059933e_eval @ (paraco753463838ge_int @ f @ i) @ p2)) != ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 inference(fool_elimination,[],[f503])).
% 0.32/0.43 thf(f702,plain,(
% 0.32/0.43 (((paraco876059933e_eval @ (paraco753463838ge_int @ f @ i) @ p2)) = ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 inference(flattening,[],[f504])).
% 0.32/0.43 thf(f1253,plain,(
% 0.32/0.43 (((paraco1920534163nge_tv @ f @ (paraco876059933e_eval @ i @ p2))) = ((paraco2040174112le_Det @ $false)))),
% 0.32/0.43 inference(cnf_transformation,[],[f281])).
% 0.32/0.43 thf(f1286,plain,(
% 0.32/0.43 (((paraco876059933e_eval @ (paraco753463838ge_int @ f @ i) @ p2)) = ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 inference(cnf_transformation,[],[f702])).
% 0.32/0.43 thf(f1317,plain,(
% 0.32/0.43 (((paraco876059933e_eval @ (paraco753463838ge_int @ f @ i) @ p2)) = ((paraco1920534163nge_tv @ f @ (paraco876059933e_eval @ i @ p2))))),
% 0.32/0.43 inference(cnf_transformation,[],[f10])).
% 0.32/0.43 thf(f1451,plain,(
% 0.32/0.43 (((paraco876059933e_eval @ i @ p2)) != ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 inference(cnf_transformation,[],[f490])).
% 0.32/0.43 thf(f1509,plain,(
% 0.32/0.43 (((paraco876059933e_eval @ i @ p2)) = ((paraco2040174112le_Det @ $false)))),
% 0.32/0.43 inference(cnf_transformation,[],[f402])).
% 0.32/0.43 thf(f1761,definition,(
% 0.32/0.43 spl181_6 <=> (((paraco876059933e_eval @ (paraco753463838ge_int @ f @ i) @ p2)) = ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 introduced(definition,[new_symbols(definition,[spl181_6])],[avatar_definition])).
% 0.32/0.43 thf(f1764,plain,(
% 0.32/0.43 spl181_6),
% 0.32/0.43 inference(avatar_split_clause,[],[f1286,f1761])).
% 0.32/0.43 thf(f1776,definition,(
% 0.32/0.43 spl181_9 <=> (((paraco1920534163nge_tv @ f @ (paraco876059933e_eval @ i @ p2))) = ((paraco2040174112le_Det @ $false)))),
% 0.32/0.43 introduced(definition,[new_symbols(definition,[spl181_9])],[avatar_definition])).
% 0.32/0.43 thf(f1779,plain,(
% 0.32/0.43 spl181_9),
% 0.32/0.43 inference(avatar_split_clause,[],[f1253,f1776])).
% 0.32/0.43 thf(f1786,definition,(
% 0.32/0.43 spl181_11 <=> (((paraco876059933e_eval @ (paraco753463838ge_int @ f @ i) @ p2)) = ((paraco1920534163nge_tv @ f @ (paraco876059933e_eval @ i @ p2))))),
% 0.32/0.43 introduced(definition,[new_symbols(definition,[spl181_11])],[avatar_definition])).
% 0.32/0.43 thf(f1789,plain,(
% 0.32/0.43 spl181_11),
% 0.32/0.43 inference(avatar_split_clause,[],[f1317,f1786])).
% 0.32/0.43 thf(f1806,definition,(
% 0.32/0.43 spl181_15 <=> (((paraco876059933e_eval @ i @ p2)) = ((paraco2040174112le_Det @ $false)))),
% 0.32/0.43 introduced(definition,[new_symbols(definition,[spl181_15])],[avatar_definition])).
% 0.32/0.43 thf(f1809,plain,(
% 0.32/0.43 spl181_15),
% 0.32/0.43 inference(avatar_split_clause,[],[f1509,f1806])).
% 0.32/0.43 thf(f1841,definition,(
% 0.32/0.43 spl181_22 <=> (((paraco876059933e_eval @ i @ p2)) = ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 introduced(definition,[new_symbols(definition,[spl181_22])],[avatar_definition])).
% 0.32/0.43 thf(f1844,plain,(
% 0.32/0.43 ~spl181_22),
% 0.32/0.43 inference(avatar_split_clause,[],[f1451,f1841])).
% 0.32/0.43 thf(f1860,definition,(
% 0.32/0.43 (((paraco876059933e_eval @ (paraco753463838ge_int @ f @ i) @ p2)) != ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ (paraco753463838ge_int @ f @ i) @ p2)) != ((paraco1920534163nge_tv @ f @ (paraco876059933e_eval @ i @ p2)))) | (((paraco1920534163nge_tv @ f @ (paraco876059933e_eval @ i @ p2))) != ((paraco2040174112le_Det @ $false))) | (((paraco876059933e_eval @ i @ p2)) != ((paraco2040174112le_Det @ $false))) | (((paraco876059933e_eval @ i @ p2)) = ((paraco2040174112le_Det @ $true)))),
% 0.32/0.43 introduced(theory,[theory_tautology_sat_conflict])).
% 0.32/0.43 cnf(s6, plain, spl181_6, inference(sat_conversion,[],[f1764])).
% 0.32/0.43 cnf(s9, plain, spl181_9, inference(sat_conversion,[],[f1779])).
% 0.32/0.43 cnf(s11, plain, spl181_11, inference(sat_conversion,[],[f1789])).
% 0.32/0.43 cnf(s15, plain, spl181_15, inference(sat_conversion,[],[f1809])).
% 0.32/0.43 cnf(s22, plain, ~spl181_22, inference(sat_conversion,[],[f1844])).
% 0.32/0.43 cnf(s26, plain, ~spl181_6 | ~spl181_9 | ~spl181_11 | ~spl181_15 | spl181_22, inference(sat_conversion,[],[f1860])).
% 0.32/0.43 cnf(s27, plain, ~spl181_6, inference(rat,[],[s26,s22,s15,s11,s9])).
% 0.32/0.43 cnf(s28, plain, $false, inference(rat,[],[s6,s27])).
% 0.32/0.43 thf(f1861,plain,(
% 0.32/0.43 $false),
% 0.32/0.43 inference(avatar_sat_refutation,[],[s28])).
% 0.32/0.43 % SZS output end Proof for theBenchmark
% 0.32/0.43 % (3135380)------------------------------
% 0.32/0.43 % (3135380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3135380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3135380)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3135380)Termination reason: Refutation
% 0.32/0.43 % (3135380)Time elapsed: 0.068 s
% 0.32/0.43 % (3135380)Peak memory usage: 14 MB
% 0.32/0.43 % (3135380)Instructions burned: 133 (million)
% 0.32/0.43 % (3135361)Success in time 0.124 s
% 0.32/0.43 % Vampire exiting
%------------------------------------------------------------------------------