%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM175^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:24 AM UTC 2026
% Result : Theorem 0.49s 0.43s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM175^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n001.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 17:54:21 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.22/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.42 % (1596289)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.49/0.42 % (1596294)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1383499815:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.49/0.42 % (1596300)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.49/0.42 % (1596300)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
% 0.49/0.42 % (1596296)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3300633253:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.49/0.42 % (1596298)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4026633542:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.49/0.42 % (1596297)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=2295628576: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)
% 0.49/0.42 % (1596299)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3887366266:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.49/0.42 % (1596300)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=3756536697:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.49/0.42 % (1596295)lrs+10_16_si=on:nwc=1.5:random_seed=2189533150:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.49/0.42 % (1596296)Instruction limit reached!
% 0.49/0.42 % (1596296)------------------------------
% 0.49/0.42 % (1596296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1596296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1596296)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1596296)Termination reason: Instruction limit
% 0.49/0.42 % (1596296)Termination phase: shuffling
% 0.49/0.42 % (1596296)Time elapsed: 0.003 s
% 0.49/0.42 % (1596296)Peak memory usage: 10 MB
% 0.49/0.42 % (1596296)Instructions burned: 5 (million)
% 0.49/0.42 % (1596295)Instruction limit reached!
% 0.49/0.42 % (1596295)------------------------------
% 0.49/0.42 % (1596295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1596295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1596295)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1596295)Termination reason: Instruction limit
% 0.49/0.42 % (1596295)Termination phase: shuffling
% 0.49/0.42 % (1596295)Time elapsed: 0.010 s
% 0.49/0.42 % (1596295)Peak memory usage: 10 MB
% 0.49/0.42 % (1596295)Instructions burned: 18 (million)
% 0.49/0.42 % (1596298)Instruction limit reached!
% 0.49/0.42 % (1596298)------------------------------
% 0.49/0.42 % (1596298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1596298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1596298)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1596298)Termination reason: Instruction limit
% 0.49/0.42 % (1596298)Termination phase: Property scanning
% 0.49/0.42 % (1596298)Time elapsed: 0.012 s
% 0.49/0.42 % (1596298)Peak memory usage: 10 MB
% 0.49/0.42 % (1596298)Instructions burned: 24 (million)
% 0.49/0.42 % (1596294)Instruction limit reached!
% 0.49/0.42 % (1596294)------------------------------
% 0.49/0.42 % (1596294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1596294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1596294)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1596294)Termination reason: Instruction limit
% 0.49/0.42 % (1596294)Termination phase: Property scanning
% 0.49/0.42 % (1596294)Time elapsed: 0.023 s
% 0.49/0.42 % (1596294)Peak memory usage: 12 MB
% 0.49/0.42 % (1596294)Instructions burned: 88 (million)
% 0.49/0.42 % (1596308)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2497311967:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.49/0.42 % (1596308)Instruction limit reached!
% 0.49/0.42 % (1596308)------------------------------
% 0.49/0.42 % (1596308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596308)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596308)Termination reason: Instruction limit
% 0.49/0.43 % (1596308)Termination phase: shuffling
% 0.49/0.43 % (1596308)Time elapsed: 0.002 s
% 0.49/0.43 % (1596308)Peak memory usage: 10 MB
% 0.49/0.43 % (1596308)Instructions burned: 3 (million)
% 0.49/0.43 % (1596311)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2797268579:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.49/0.43 % (1596309)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3735960049:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.49/0.43 % (1596311)Instruction limit reached!
% 0.49/0.43 % (1596311)------------------------------
% 0.49/0.43 % (1596311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596311)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596311)Termination reason: Instruction limit
% 0.49/0.43 % (1596311)Termination phase: shuffling
% 0.49/0.43 % (1596311)Time elapsed: 0.003 s
% 0.49/0.43 % (1596311)Peak memory usage: 10 MB
% 0.49/0.43 % (1596311)Instructions burned: 13 (million)
% 0.49/0.43 % (1596310)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.49/0.43 % (1596309)Instruction limit reached!
% 0.49/0.43 % (1596309)------------------------------
% 0.49/0.43 % (1596309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596309)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596309)Termination reason: Instruction limit
% 0.49/0.43 % (1596309)Termination phase: shuffling
% 0.49/0.43 % (1596309)Time elapsed: 0.003 s
% 0.49/0.43 % (1596309)Peak memory usage: 10 MB
% 0.49/0.43 % (1596309)Instructions burned: 5 (million)
% 0.49/0.43 % (1596310)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=522758092:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.49/0.43 % (1596299)Instruction limit reached!
% 0.49/0.43 % (1596299)------------------------------
% 0.49/0.43 % (1596299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596299)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596299)Termination reason: Instruction limit
% 0.49/0.43 % (1596299)Termination phase: Property scanning
% 0.49/0.43 % (1596299)Time elapsed: 0.038 s
% 0.49/0.43 % (1596299)Peak memory usage: 12 MB
% 0.49/0.43 % (1596299)Instructions burned: 77 (million)
% 0.49/0.43 % (1596310)Instruction limit reached!
% 0.49/0.43 % (1596310)------------------------------
% 0.49/0.43 % (1596310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596310)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596310)Termination reason: Instruction limit
% 0.49/0.43 % (1596310)Termination phase: shuffling
% 0.49/0.43 % (1596310)Time elapsed: 0.004 s
% 0.49/0.43 % (1596310)Peak memory usage: 10 MB
% 0.49/0.43 % (1596310)Instructions burned: 8 (million)
% 0.49/0.43 % (1596313)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
% 0.49/0.43 % (1596313)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.49/0.43 % (1596316)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=2844490590:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.49/0.43 % (1596313)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3136704287:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.49/0.43 % (1596317)lrs+10_1_si=on:cs=on:random_seed=895801137:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.49/0.43 % (1596319)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.49/0.43 % (1596317)Instruction limit reached!
% 0.49/0.43 % (1596317)------------------------------
% 0.49/0.43 % (1596317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596317)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596317)Termination reason: Instruction limit
% 0.49/0.43 % (1596317)Termination phase: shuffling
% 0.49/0.43 % (1596317)Time elapsed: 0.004 s
% 0.49/0.43 % (1596317)Peak memory usage: 10 MB
% 0.49/0.43 % (1596317)Instructions burned: 8 (million)
% 0.49/0.43 % (1596319)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=2456500134:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.49/0.43 % (1596320)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=67034684:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.49/0.43 % (1596313)Instruction limit reached!
% 0.49/0.43 % (1596313)------------------------------
% 0.49/0.43 % (1596313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596313)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596313)Termination reason: Instruction limit
% 0.49/0.43 % (1596313)Termination phase: shuffling
% 0.49/0.43 % (1596313)Time elapsed: 0.014 s
% 0.49/0.43 % (1596313)Peak memory usage: 10 MB
% 0.49/0.43 % (1596313)Instructions burned: 30 (million)
% 0.49/0.43 % (1596319)Instruction limit reached!
% 0.49/0.43 % (1596319)------------------------------
% 0.49/0.43 % (1596319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596319)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596319)Termination reason: Instruction limit
% 0.49/0.43 % (1596319)Termination phase: shuffling
% 0.49/0.43 % (1596319)Time elapsed: 0.002 s
% 0.49/0.43 % (1596319)Peak memory usage: 10 MB
% 0.49/0.43 % (1596319)Instructions burned: 3 (million)
% 0.49/0.43 % (1596316)Instruction limit reached!
% 0.49/0.43 % (1596316)------------------------------
% 0.49/0.43 % (1596316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596316)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596316)Termination reason: Instruction limit
% 0.49/0.43 % (1596316)Termination phase: Preprocessing 3
% 0.49/0.43 % (1596316)Time elapsed: 0.021 s
% 0.49/0.43 % (1596316)Peak memory usage: 11 MB
% 0.49/0.43 % (1596316)Instructions burned: 90 (million)
% 0.49/0.43 % (1596300)Instruction limit reached!
% 0.49/0.43 % (1596300)------------------------------
% 0.49/0.43 % (1596300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596300)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596300)Termination reason: Instruction limit
% 0.49/0.43 % (1596300)Termination phase: Saturation
% 0.49/0.43 % (1596300)Time elapsed: 0.073 s
% 0.49/0.43 % (1596300)Peak memory usage: 13 MB
% 0.49/0.43 % (1596300)Instructions burned: 157 (million)
% 0.49/0.43 % (1596329)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2641154814:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.49/0.43 % (1596325)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3481860589:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.49/0.43 % (1596320)Instruction limit reached!
% 0.49/0.43 % (1596320)------------------------------
% 0.49/0.43 % (1596320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596320)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596320)Termination reason: Instruction limit
% 0.49/0.43 % (1596320)Termination phase: SInE selection
% 0.49/0.43 % (1596320)Time elapsed: 0.018 s
% 0.49/0.43 % (1596320)Peak memory usage: 11 MB
% 0.49/0.43 % (1596320)Instructions burned: 39 (million)
% 0.49/0.43 % (1596328)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3119436434:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.49/0.43 % (1596327)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1442315874:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.49/0.43 % (1596297) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1596289-1596297"...
% 0.49/0.43 % (1596328)Instruction limit reached!
% 0.49/0.43 % (1596328)------------------------------
% 0.49/0.43 % (1596328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596328)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596328)Termination reason: Instruction limit
% 0.49/0.43 % (1596328)Termination phase: shuffling
% 0.49/0.43 % (1596328)Time elapsed: 0.008 s
% 0.49/0.43 % (1596328)Peak memory usage: 10 MB
% 0.49/0.43 % (1596328)Instructions burned: 16 (million)
% 0.49/0.43 % (1596297)...printing done.
% 0.49/0.43 % (1596297)Refutation found. Thanks to Tanya!
% 0.49/0.43 % SZS status Theorem for theBenchmark
% 0.49/0.43 % SZS output start Proof for theBenchmark
% 0.49/0.43 thf(type_def_5, type, coinductive_llist: $tType > $tType).
% 0.49/0.43 thf(type_def_6, type, set: $tType > $tType).
% 0.49/0.43 thf(type_def_7, type, itself: $tType > $tType).
% 0.49/0.43 thf(type_def_8, type, a: $tType).
% 0.49/0.43 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.49/0.43 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.43 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.43 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.43 thf(func_def_3, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.43 thf(func_def_4, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.43 thf(func_def_5, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.43 thf(func_def_6, type, semilattice_sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.43 thf(func_def_7, type, comple187826305attice: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.43 thf(func_def_8, type, coindu328551480prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 0.49/0.43 thf(func_def_9, type, coinductive_gen_lset: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > set @ X0))).
% 0.49/0.43 thf(func_def_10, type, coinductive_lappend: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_11, type, coindu351974385stinct: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 0.49/0.43 thf(func_def_12, type, coinductive_lfilter: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_13, type, coinductive_lfinite: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 0.49/0.43 thf(func_def_14, type, coinductive_llast: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_15, type, coinductive_llexord: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 0.49/0.43 thf(func_def_16, type, coinductive_LCons: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_17, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 0.49/0.43 thf(func_def_18, type, coindu1259883913_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > coinductive_llist @ X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 0.49/0.43 thf(func_def_19, type, coinductive_lhd: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_20, type, coinductive_lnull: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 0.49/0.43 thf(func_def_21, type, coinductive_lset: !>[X0: $tType]:((coinductive_llist @ X0 > set @ X0))).
% 0.49/0.43 thf(func_def_22, type, coinductive_lmember: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > $o))).
% 0.49/0.43 thf(func_def_23, type, coindu1478340336prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 0.49/0.43 thf(func_def_24, type, coindu63249387sorted: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 0.49/0.43 thf(func_def_25, type, coindu1441602521_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 0.49/0.43 thf(func_def_26, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.49/0.43 thf(func_def_27, type, koenig916195507_paths: !>[X0: $tType]:(((X0 > X0 > $o) > set @ coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_28, type, koenig2031690877pathsp: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > $o))).
% 0.49/0.43 thf(func_def_29, type, koenig317145564le_via: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0 > set @ X0))).
% 0.49/0.43 thf(func_def_30, type, koenig1757754772e_viap: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0 > X0 > $o))).
% 0.49/0.43 thf(func_def_31, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.49/0.43 thf(func_def_32, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.49/0.43 thf(func_def_33, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.49/0.43 thf(func_def_34, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.49/0.43 thf(func_def_35, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.49/0.43 thf(func_def_36, type, graph: (a > a > $o)).
% 0.49/0.43 thf(func_def_37, type, n: a).
% 0.49/0.43 thf(func_def_38, type, n2: a).
% 0.49/0.43 thf(func_def_39, type, ns: set @ a).
% 0.49/0.43 thf(func_def_40, type, x: a).
% 0.49/0.43 thf(func_def_41, type, xs: coinductive_llist @ a).
% 0.49/0.43 thf(func_def_42, type, xs2: coinductive_llist @ a).
% 0.49/0.43 thf(func_def_44, type, vOR: ($o > $o > $o)).
% 0.49/0.43 thf(func_def_45, type, db1: !>[X0: $tType]:(X0)).
% 0.49/0.43 thf(func_def_46, type, db0: !>[X0: $tType]:(X0)).
% 0.49/0.43 thf(func_def_47, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.49/0.43 thf(func_def_48, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.49/0.43 thf(func_def_49, type, vAND: ($o > $o > $o)).
% 0.49/0.43 thf(func_def_50, type, db3: !>[X0: $tType]:(X0)).
% 0.49/0.43 thf(func_def_51, type, db6: !>[X0: $tType]:(X0)).
% 0.49/0.43 thf(func_def_52, type, db2: !>[X0: $tType]:(X0)).
% 0.49/0.43 thf(func_def_53, type, db5: !>[X0: $tType]:(X0)).
% 0.49/0.43 thf(func_def_54, type, db4: !>[X0: $tType]:(X0)).
% 0.49/0.43 thf(func_def_55, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.49/0.43 thf(func_def_58, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.49/0.43 thf(func_def_59, type, vIMP: ($o > $o > $o)).
% 0.49/0.43 thf(func_def_60, type, vNOT: ($o > $o)).
% 0.49/0.43 thf(func_def_61, type, sP0: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > $o))).
% 0.49/0.43 thf(func_def_62, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.49/0.43 thf(func_def_63, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.49/0.43 thf(func_def_64, type, sK3: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_65, type, sK4: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_66, type, sK5: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_67, type, sK6: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_68, type, sK7: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_69, type, sK8: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_70, type, sK9: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_71, type, sK10: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_72, type, sK11: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_73, type, sK12: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_74, type, sK13: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_75, type, sK14: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_76, type, sK15: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_77, type, sK16: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_78, type, sK17: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_79, type, sK18: !>[X0: $tType]:(((X0 > $o) > set @ X0 > (X0 > X0 > $o) > X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_80, type, sK19: !>[X0: $tType]:(((X0 > $o) > set @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 0.49/0.43 thf(func_def_81, type, sK20: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_82, type, sK21: !>[X0: $tType]:((set @ X0 > X0 > (X0 > X0 > $o) > X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_83, type, sK22: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_84, type, sK23: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_85, type, sK24: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_86, type, sK25: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_87, type, sK26: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_88, type, sK27: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_89, type, sK28: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_90, type, sK29: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > (X0 > $o) > X0 > X0))).
% 0.49/0.43 thf(func_def_91, type, sK30: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > (X0 > $o) > X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_92, type, sK31: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_93, type, sK32: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_94, type, sK33: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0 > X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_95, type, sK34: a).
% 0.49/0.43 thf(func_def_96, type, sK35: coinductive_llist @ a).
% 0.49/0.43 thf(func_def_97, type, sK36: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_98, type, sK37: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_99, type, sK38: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_100, type, sK39: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_101, type, sK40: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_102, type, sK41: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_103, type, sK42: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_104, type, sK43: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_105, type, sK44: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.43 thf(func_def_106, type, sK45: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.43 thf(func_def_107, type, sK46: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.49/0.43 thf(func_def_108, type, sK47: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.49/0.43 thf(func_def_109, type, sK48: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.49/0.43 thf(func_def_110, type, sK49: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.49/0.43 thf(func_def_111, type, sK50: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.49/0.43 thf(func_def_112, type, sK51: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.49/0.43 thf(func_def_113, type, sK52: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 0.49/0.43 thf(func_def_114, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.43 thf(func_def_115, type, sK54: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.43 thf(func_def_116, type, sK55: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_117, type, sK56: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_118, type, sK57: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_119, type, sK58: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_120, type, sK59: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_121, type, sK60: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_122, type, sK61: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_123, type, sK62: !>[X0: $tType]:((set @ X0 > set @ X0 > (X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_124, type, sK63: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_125, type, sK64: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_126, type, sK65: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > (X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_127, type, sK66: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > (X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_128, type, sK67: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_129, type, sK68: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > X0))).
% 0.49/0.43 thf(func_def_130, type, sK69: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_131, type, sK70: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_132, type, sK71: !>[X0: $tType]:(((X0 > X0 > $o) > coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_133, type, sK72: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > set @ X0 > X0))).
% 0.49/0.43 thf(func_def_134, type, sK73: !>[X0: $tType]:((X0 > X0 > (X0 > X0 > $o) > set @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_135, type, sK74: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_136, type, sK75: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_137, type, sK76: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_138, type, sK77: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_139, type, sK78: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_140, type, sK79: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_141, type, sK80: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > X0))).
% 0.49/0.43 thf(func_def_142, type, sK81: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_143, type, sK82: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > (X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_144, type, sK83: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_145, type, sK84: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_146, type, sK85: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_147, type, sK86: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_148, type, sK87: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_149, type, sK88: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_150, type, sK89: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_151, type, sK90: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.49/0.43 thf(func_def_152, type, sK91: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.43 thf(func_def_153, type, sK92: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.43 thf(func_def_154, type, sK93: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_155, type, sK94: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_156, type, sK95: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_157, type, sK96: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > X0))).
% 0.49/0.43 thf(func_def_158, type, sK97: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_159, type, sK98: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.49/0.43 thf(func_def_160, type, sK99: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_161, type, sK100: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_162, type, sK101: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_163, type, sK102: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_164, type, sK103: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_165, type, sK104: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_166, type, sK105: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_167, type, sK106: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_168, type, sK107: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_169, type, sK108: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_170, type, sK109: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_171, type, sK110: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_172, type, sK111: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_173, type, sK112: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_174, type, sK113: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_175, type, sK114: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_176, type, sK115: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_177, type, sK116: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.49/0.43 thf(func_def_178, type, sK117: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_179, type, sK118: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.43 thf(func_def_180, type, sK119: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.43 thf(func_def_181, type, sK120: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_182, type, sK121: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_183, type, sK122: coinductive_llist @ a).
% 0.49/0.43 thf(func_def_184, type, sK123: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_185, type, sK124: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_186, type, sK125: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_187, type, sK126: !>[X0: $tType]:((coinductive_llist @ X0 > (X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_188, type, sK127: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > (X0 > X0 > $o) > coinductive_llist @ X0))).
% 0.49/0.43 thf(func_def_189, type, sK128: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.49/0.43 thf(func_def_190, type, sK129: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_191, type, sK130: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_192, type, sK131: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.43 thf(func_def_193, type, sK132: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.49/0.43 thf(func_def_194, type, sK133: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.49/0.43 thf(func_def_195, type, sK134: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 0.49/0.43 thf(f2,axiom,(
% 0.49/0.43 ~ ! [X0 : a,X1 : coinductive_llist @ a] : (xs2 != ((coinductive_LCons @ a @ X0 @ X1)))),
% 0.49/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062n_H_Axs_H_O_Axs_A_061_ALCons_An_H_Axs_H_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062)).
% 0.49/0.43 thf(f3,axiom,(
% 0.49/0.43 (xs2 = ((coinductive_LCons @ a @ n2 @ xs)))),
% 0.49/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_xs)).
% 0.49/0.43 thf(f4,axiom,(
% 0.49/0.43 (ord_less_eq @ set @ a @ (coinductive_lset @ a @ xs2) @ ns)),
% 0.49/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__092_060open_062lset_Axs_A_092_060subseteq_062_Ans_092_060close_062)).
% 0.49/0.43 thf(f16,axiom,(
% 0.49/0.43 ! [X0 : $tType,X4 : coinductive_llist @ X0,X2 : coinductive_llist @ X0,X1 : X0,X3 : X0] : ((((coinductive_LCons @ X0 @ X1 @ X2)) = ((coinductive_LCons @ X0 @ X3 @ X4))) = (X2 = X4) & (X1 = X3))),
% 0.49/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_llist_Oinject)).
% 0.49/0.43 thf(f23,axiom,(
% 0.49/0.43 ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : X0] : (member @ X0 @ X1 @ (coinductive_lset @ X0 @ (coinductive_LCons @ X0 @ X1 @ X2)))),
% 0.49/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_llist_Oset__intros_I1_J)).
% 0.49/0.43 thf(f69,axiom,(
% 0.49/0.43 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : X0] : ((ord_less_eq @ set @ X0 @ X1 @ X2) => ((member @ X0 @ X3 @ X1) => (member @ X0 @ X3 @ X2)))),
% 0.49/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_subsetCE)).
% 0.49/0.43 thf(f279,conjecture,(
% 0.49/0.43 (member @ a @ n2 @ ns)),
% 0.49/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.49/0.43 thf(f280,negated_conjecture,(
% 0.49/0.43 ~(member @ a @ n2 @ ns)),
% 0.49/0.43 inference(negated_conjecture,[status(cth)],[f279])).
% 0.49/0.43 thf(f347,plain,(
% 0.49/0.43 ~(member @ a @ n2 @ ns)),
% 0.49/0.43 inference(rectify,[],[f280])).
% 0.49/0.43 thf(f348,plain,(
% 0.49/0.43 ~ (((member @ a @ n2 @ ns)) = $true)),
% 0.49/0.43 inference(fool_elimination,[],[f347])).
% 0.49/0.43 thf(f441,plain,(
% 0.49/0.43 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : coinductive_llist @ X0,X3 : X0,X4 : X0] : ((((coinductive_LCons @ X0 @ X3 @ X2)) = ((coinductive_LCons @ X0 @ X4 @ X1))) = (X1 = X2) & (X3 = X4))),
% 0.49/0.43 inference(rectify,[],[f16])).
% 0.49/0.43 thf(f442,plain,(
% 0.49/0.43 ! [X0 : $tType,X4 : X0,X1 : coinductive_llist @ X0,X2 : coinductive_llist @ X0,X3 : X0] : (((X1 = X2) & (X3 = X4)) <=> (((coinductive_LCons @ X0 @ X3 @ X2)) = ((coinductive_LCons @ X0 @ X4 @ X1))))),
% 0.49/0.43 inference(fool_elimination,[],[f441])).
% 0.49/0.43 thf(f468,plain,(
% 0.49/0.43 (ord_less_eq @ set @ a @ (coinductive_lset @ a @ xs2) @ ns)),
% 0.49/0.43 inference(rectify,[],[f4])).
% 0.49/0.43 thf(f469,plain,(
% 0.49/0.43 (((ord_less_eq @ set @ a @ (coinductive_lset @ a @ xs2) @ ns)) = $true)),
% 0.49/0.43 inference(fool_elimination,[],[f468])).
% 0.49/0.43 thf(f550,plain,(
% 0.49/0.43 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : X0] : ((ord_less_eq @ set @ X0 @ X1 @ X2) => ((member @ X0 @ X3 @ X1) => (member @ X0 @ X3 @ X2)))),
% 0.49/0.43 inference(rectify,[],[f69])).
% 0.49/0.43 thf(f551,plain,(
% 0.49/0.43 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : X0] : ((((ord_less_eq @ set @ X0 @ X1 @ X2)) = $true) => ((((member @ X0 @ X3 @ X1)) = $true) => (((member @ X0 @ X3 @ X2)) = $true)))),
% 0.49/0.43 inference(fool_elimination,[],[f550])).
% 0.49/0.43 thf(f776,plain,(
% 0.49/0.43 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : X0] : (member @ X0 @ X2 @ (coinductive_lset @ X0 @ (coinductive_LCons @ X0 @ X2 @ X1)))),
% 0.49/0.43 inference(rectify,[],[f23])).
% 0.49/0.43 thf(f777,plain,(
% 0.49/0.43 ! [X0 : $tType,X2 : X0,X1 : coinductive_llist @ X0] : ($true = ((member @ X0 @ X2 @ (coinductive_lset @ X0 @ (coinductive_LCons @ X0 @ X2 @ X1)))))),
% 0.49/0.43 inference(fool_elimination,[],[f776])).
% 0.49/0.43 thf(f789,plain,(
% 0.49/0.43 (((member @ a @ n2 @ ns)) != $true)),
% 0.49/0.43 inference(flattening,[],[f348])).
% 0.49/0.43 thf(f1013,plain,(
% 0.49/0.43 ! [X0 : $tType,X1 : set @ X0,X2 : set @ X0,X3 : X0] : (((((member @ X0 @ X3 @ X2)) = $true) | (((member @ X0 @ X3 @ X1)) != $true)) | (((ord_less_eq @ set @ X0 @ X1 @ X2)) != $true))),
% 0.49/0.43 inference(ennf_transformation,[],[f551])).
% 0.49/0.43 thf(f1014,plain,(
% 0.49/0.43 ! [X0 : $tType,X3 : X0,X1 : set @ X0,X2 : set @ X0] : ((((member @ X0 @ X3 @ X2)) = $true) | (((member @ X0 @ X3 @ X1)) != $true) | (((ord_less_eq @ set @ X0 @ X1 @ X2)) != $true))),
% 0.49/0.43 inference(flattening,[],[f1013])).
% 0.49/0.43 thf(f1073,plain,(
% 0.49/0.43 ? [X0 : a,X1 : coinductive_llist @ a] : (xs2 = ((coinductive_LCons @ a @ X0 @ X1)))),
% 0.49/0.43 inference(ennf_transformation,[],[f2])).
% 0.49/0.43 thf(f1116,plain,(
% 0.49/0.43 ! [X0 : $tType,X1 : X0,X2 : set @ X0,X3 : set @ X0] : ((((member @ X0 @ X1 @ X3)) = $true) | (((member @ X0 @ X1 @ X2)) != $true) | (((ord_less_eq @ set @ X0 @ X2 @ X3)) != $true))),
% 0.49/0.43 inference(rectify,[],[f1014])).
% 0.49/0.43 thf(f1138,plain,(
% 0.49/0.43 (xs2 = ((coinductive_LCons @ a @ sK34 @ sK35)))),
% 0.49/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X0,sK34),skolemize(X1,sK35)],[f1073])).
% 0.49/0.43 thf(f1173,plain,(
% 0.49/0.43 ! [X0 : $tType,X4 : X0,X1 : coinductive_llist @ X0,X2 : coinductive_llist @ X0,X3 : X0] : ((((X1 = X2) & (X3 = X4)) | (((coinductive_LCons @ X0 @ X3 @ X2)) != ((coinductive_LCons @ X0 @ X4 @ X1)))) & ((((coinductive_LCons @ X0 @ X3 @ X2)) = ((coinductive_LCons @ X0 @ X4 @ X1))) | ((X1 != X2) | (X3 != X4))))),
% 0.49/0.43 inference(nnf_transformation,[],[f442])).
% 0.49/0.43 thf(f1174,plain,(
% 0.49/0.43 ! [X0 : $tType,X4 : X0,X1 : coinductive_llist @ X0,X2 : coinductive_llist @ X0,X3 : X0] : ((((X1 = X2) & (X3 = X4)) | (((coinductive_LCons @ X0 @ X3 @ X2)) != ((coinductive_LCons @ X0 @ X4 @ X1)))) & ((((coinductive_LCons @ X0 @ X3 @ X2)) = ((coinductive_LCons @ X0 @ X4 @ X1))) | (X1 != X2) | (X3 != X4)))),
% 0.49/0.43 inference(flattening,[],[f1173])).
% 0.49/0.43 thf(f1175,plain,(
% 0.49/0.43 ! [X0 : $tType,X1 : X0,X2 : coinductive_llist @ X0,X3 : coinductive_llist @ X0,X4 : X0] : ((((X2 = X3) & (X1 = X4)) | (((coinductive_LCons @ X0 @ X1 @ X2)) != ((coinductive_LCons @ X0 @ X4 @ X3)))) & ((((coinductive_LCons @ X0 @ X1 @ X2)) = ((coinductive_LCons @ X0 @ X4 @ X3))) | (X2 != X3) | (X1 != X4)))),
% 0.49/0.43 inference(rectify,[],[f1174])).
% 0.49/0.43 thf(f1197,plain,(
% 0.49/0.43 ! [X0 : $tType,X1 : X0,X2 : coinductive_llist @ X0] : (((member @ X0 @ X1 @ (coinductive_lset @ X0 @ (coinductive_LCons @ X0 @ X1 @ X2)))) = $true)),
% 0.49/0.43 inference(rectify,[],[f777])).
% 0.49/0.43 thf(f1423,plain,(
% 0.49/0.43 ( ! [X0 : $tType,X2 : set @ X0,X3 : set @ X0,X1 : X0] : ((((ord_less_eq @ set @ X0 @ X2 @ X3)) != $true) | (((member @ X0 @ X1 @ X3)) = $true) | (((member @ X0 @ X1 @ X2)) != $true)) )),
% 0.49/0.43 inference(cnf_transformation,[],[f1116])).
% 0.49/0.43 thf(f1468,plain,(
% 0.49/0.43 (xs2 = ((coinductive_LCons @ a @ sK34 @ sK35)))),
% 0.49/0.43 inference(cnf_transformation,[],[f1138])).
% 0.49/0.43 thf(f1520,plain,(
% 0.49/0.43 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X3 : coinductive_llist @ X0,X1 : X0,X4 : X0] : ((((coinductive_LCons @ X0 @ X1 @ X2)) != ((coinductive_LCons @ X0 @ X4 @ X3))) | (X1 = X4)) )),
% 0.49/0.43 inference(cnf_transformation,[],[f1175])).
% 0.49/0.43 thf(f1562,plain,(
% 0.49/0.43 ( ! [X0 : $tType,X2 : coinductive_llist @ X0,X1 : X0] : ((((member @ X0 @ X1 @ (coinductive_lset @ X0 @ (coinductive_LCons @ X0 @ X1 @ X2)))) = $true)) )),
% 0.49/0.43 inference(cnf_transformation,[],[f1197])).
% 0.49/0.43 thf(f1568,plain,(
% 0.49/0.43 (((member @ a @ n2 @ ns)) != $true)),
% 0.49/0.43 inference(cnf_transformation,[],[f789])).
% 0.49/0.43 thf(f1587,plain,(
% 0.49/0.43 (((ord_less_eq @ set @ a @ (coinductive_lset @ a @ xs2) @ ns)) = $true)),
% 0.49/0.43 inference(cnf_transformation,[],[f469])).
% 0.49/0.43 thf(f1796,plain,(
% 0.49/0.43 (xs2 = ((coinductive_LCons @ a @ n2 @ xs)))),
% 0.49/0.43 inference(cnf_transformation,[],[f3])).
% 0.49/0.43 thf(f1920,definition,(
% 0.49/0.43 spl135_1 <=> (((ord_less_eq @ set @ a @ (coinductive_lset @ a @ xs2) @ ns)) = $true)),
% 0.49/0.43 introduced(definition,[new_symbols(definition,[spl135_1])],[avatar_definition])).
% 0.49/0.43 thf(f1922,plain,(
% 0.49/0.43 (((ord_less_eq @ set @ a @ (coinductive_lset @ a @ xs2) @ ns)) = $true) | ~spl135_1),
% 0.49/0.43 inference(avatar_component_clause,[],[f1920])).
% 0.49/0.43 thf(f1923,plain,(
% 0.49/0.43 spl135_1),
% 0.49/0.43 inference(avatar_split_clause,[],[f1587,f1920])).
% 0.49/0.43 thf(f1930,definition,(
% 0.49/0.43 spl135_3 <=> (xs2 = ((coinductive_LCons @ a @ sK34 @ sK35)))),
% 0.49/0.43 introduced(definition,[new_symbols(definition,[spl135_3])],[avatar_definition])).
% 0.49/0.43 thf(f1932,plain,(
% 0.49/0.43 (xs2 = ((coinductive_LCons @ a @ sK34 @ sK35))) | ~spl135_3),
% 0.49/0.43 inference(avatar_component_clause,[],[f1930])).
% 0.49/0.43 thf(f1933,plain,(
% 0.49/0.43 spl135_3),
% 0.49/0.43 inference(avatar_split_clause,[],[f1468,f1930])).
% 0.49/0.43 thf(f1960,definition,(
% 0.49/0.43 spl135_9 <=> (((member @ a @ n2 @ ns)) = $true)),
% 0.49/0.43 introduced(definition,[new_symbols(definition,[spl135_9])],[avatar_definition])).
% 0.49/0.43 thf(f1963,plain,(
% 0.49/0.43 ~spl135_9),
% 0.49/0.43 inference(avatar_split_clause,[],[f1568,f1960])).
% 0.49/0.43 thf(f2000,definition,(
% 0.49/0.43 spl135_17 <=> (xs2 = ((coinductive_LCons @ a @ n2 @ xs)))),
% 0.49/0.43 introduced(definition,[new_symbols(definition,[spl135_17])],[avatar_definition])).
% 0.49/0.43 thf(f2002,plain,(
% 0.49/0.43 (xs2 = ((coinductive_LCons @ a @ n2 @ xs))) | ~spl135_17),
% 0.49/0.43 inference(avatar_component_clause,[],[f2000])).
% 0.49/0.43 thf(f2003,plain,(
% 0.49/0.43 spl135_17),
% 0.49/0.43 inference(avatar_split_clause,[],[f1796,f2000])).
% 0.49/0.43 thf(f2009,plain,(
% 0.49/0.43 (((coinductive_LCons @ a @ n2 @ xs)) = ((coinductive_LCons @ a @ sK34 @ sK35))) | (~spl135_3 | ~spl135_17)),
% 0.49/0.43 inference(forward_demodulation,[],[f2002,f1932])).
% 0.49/0.43 thf(f2011,definition,(
% 0.49/0.43 spl135_19 <=> (((coinductive_LCons @ a @ n2 @ xs)) = ((coinductive_LCons @ a @ sK34 @ sK35)))),
% 0.49/0.43 introduced(definition,[new_symbols(definition,[spl135_19])],[avatar_definition])).
% 0.49/0.43 thf(f2013,plain,(
% 0.49/0.43 (((coinductive_LCons @ a @ n2 @ xs)) = ((coinductive_LCons @ a @ sK34 @ sK35))) | ~spl135_19),
% 0.49/0.43 inference(avatar_component_clause,[],[f2011])).
% 0.49/0.43 thf(f2014,plain,(
% 0.49/0.43 spl135_19 | ~spl135_3 | ~spl135_17),
% 0.49/0.43 inference(avatar_split_clause,[],[f2009,f2000,f1930,f2011])).
% 0.49/0.43 thf(f2021,plain,(
% 0.49/0.43 ($true = ((ord_less_eq @ set @ a @ (coinductive_lset @ a @ (coinductive_LCons @ a @ sK34 @ sK35)) @ ns))) | (~spl135_1 | ~spl135_3)),
% 0.49/0.43 inference(forward_demodulation,[],[f1922,f1932])).
% 0.49/0.43 thf(f2023,definition,(
% 0.49/0.43 spl135_21 <=> ($true = ((ord_less_eq @ set @ a @ (coinductive_lset @ a @ (coinductive_LCons @ a @ sK34 @ sK35)) @ ns)))),
% 0.49/0.43 introduced(definition,[new_symbols(definition,[spl135_21])],[avatar_definition])).
% 0.49/0.43 thf(f2025,plain,(
% 0.49/0.43 ($true = ((ord_less_eq @ set @ a @ (coinductive_lset @ a @ (coinductive_LCons @ a @ sK34 @ sK35)) @ ns))) | ~spl135_21),
% 0.49/0.43 inference(avatar_component_clause,[],[f2023])).
% 0.49/0.43 thf(f2026,plain,(
% 0.49/0.43 spl135_21 | ~spl135_1 | ~spl135_3),
% 0.49/0.43 inference(avatar_split_clause,[],[f2021,f1930,f1920,f2023])).
% 0.49/0.43 thf(f2062,plain,(
% 0.49/0.43 ( ! [X0 : a] : (($true != $true) | ($true = ((member @ a @ X0 @ ns))) | ($true != ((member @ a @ X0 @ (coinductive_lset @ a @ (coinductive_LCons @ a @ sK34 @ sK35)))))) ) | ~spl135_21),
% 0.49/0.43 inference(superposition,[],[f1423,f2025])).
% 0.49/0.43 thf(f2063,plain,(
% 0.49/0.43 ( ! [X0 : a] : (($true != ((member @ a @ X0 @ (coinductive_lset @ a @ (coinductive_LCons @ a @ sK34 @ sK35))))) | ($true = ((member @ a @ X0 @ ns)))) ) | ~spl135_21),
% 0.49/0.43 inference(trivial_inequality_removal,[],[f2062])).
% 0.49/0.43 thf(f2103,plain,(
% 0.49/0.43 ( ! [X0 : a,X1 : coinductive_llist @ a] : ((((coinductive_LCons @ a @ X0 @ X1)) != ((coinductive_LCons @ a @ sK34 @ sK35))) | (n2 = X0)) ) | ~spl135_19),
% 0.49/0.43 inference(superposition,[],[f1520,f2013])).
% 0.49/0.43 thf(f2110,plain,(
% 0.49/0.43 ($true != $true) | (((member @ a @ sK34 @ ns)) = $true) | ~spl135_21),
% 0.49/0.43 inference(superposition,[],[f2063,f1562])).
% 0.49/0.43 thf(f2111,plain,(
% 0.49/0.43 (((member @ a @ sK34 @ ns)) = $true) | ~spl135_21),
% 0.49/0.43 inference(trivial_inequality_removal,[],[f2110])).
% 0.49/0.43 thf(f2113,definition,(
% 0.49/0.43 spl135_28 <=> (((member @ a @ sK34 @ ns)) = $true)),
% 0.49/0.43 introduced(definition,[new_symbols(definition,[spl135_28])],[avatar_definition])).
% 0.49/0.43 thf(f2116,plain,(
% 0.49/0.43 spl135_28 | ~spl135_21),
% 0.49/0.43 inference(avatar_split_clause,[],[f2111,f2023,f2113])).
% 0.49/0.43 thf(f2131,plain,(
% 0.49/0.43 (n2 = sK34) | ~spl135_19),
% 0.49/0.43 inference(equality_resolution,[],[f2103])).
% 0.49/0.43 thf(f2133,definition,(
% 0.49/0.43 spl135_30 <=> (n2 = sK34)),
% 0.49/0.43 introduced(definition,[new_symbols(definition,[spl135_30])],[avatar_definition])).
% 0.49/0.43 thf(f2136,plain,(
% 0.49/0.43 spl135_30 | ~spl135_19),
% 0.49/0.43 inference(avatar_split_clause,[],[f2131,f2011,f2133])).
% 0.49/0.43 thf(f2137,definition,(
% 0.49/0.43 (n2 != sK34) | (((member @ a @ sK34 @ ns)) != $true) | (((member @ a @ n2 @ ns)) = $true)),
% 0.49/0.43 introduced(theory,[theory_tautology_sat_conflict])).
% 0.49/0.43 cnf(s1, plain, spl135_1, inference(sat_conversion,[],[f1923])).
% 0.49/0.43 cnf(s3, plain, spl135_3, inference(sat_conversion,[],[f1933])).
% 0.49/0.43 cnf(s9, plain, ~spl135_9, inference(sat_conversion,[],[f1963])).
% 0.49/0.43 cnf(s17, plain, spl135_17, inference(sat_conversion,[],[f2003])).
% 0.49/0.43 cnf(s19, plain, ~spl135_3 | ~spl135_17 | spl135_19, inference(sat_conversion,[],[f2014])).
% 0.49/0.43 cnf(s21, plain, ~spl135_1 | ~spl135_3 | spl135_21, inference(sat_conversion,[],[f2026])).
% 0.49/0.43 cnf(s27, plain, ~spl135_21 | spl135_28, inference(sat_conversion,[],[f2116])).
% 0.49/0.43 cnf(s29, plain, ~spl135_19 | spl135_30, inference(sat_conversion,[],[f2136])).
% 0.49/0.43 cnf(s30, plain, spl135_9 | ~spl135_28 | ~spl135_30, inference(sat_conversion,[],[f2137])).
% 0.49/0.43 cnf(s33, plain, spl135_19, inference(rat,[],[s19,s17,s3])).
% 0.49/0.43 cnf(s34, plain, spl135_30, inference(rat,[],[s29,s33])).
% 0.49/0.43 cnf(s36, plain, ~spl135_28, inference(rat,[],[s30,s9,s34])).
% 0.49/0.43 cnf(s37, plain, ~spl135_21, inference(rat,[],[s27,s36])).
% 0.49/0.43 cnf(s38, plain, ~spl135_1, inference(rat,[],[s21,s3,s37])).
% 0.49/0.43 cnf(s40, plain, $false, inference(rat,[],[s1,s38])).
% 0.49/0.43 thf(f2138,plain,(
% 0.49/0.43 $false),
% 0.49/0.43 inference(avatar_sat_refutation,[],[s40])).
% 0.49/0.43 % SZS output end Proof for theBenchmark
% 0.49/0.43 % (1596297)------------------------------
% 0.49/0.43 % (1596297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.43 % (1596297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.43 % (1596297)CaDiCaL version: 2.1.3
% 0.49/0.43 % (1596297)Termination reason: Refutation
% 0.49/0.43 % (1596297)Time elapsed: 0.089 s
% 0.49/0.43 % (1596297)Peak memory usage: 15 MB
% 0.49/0.43 % (1596297)Instructions burned: 178 (million)
% 0.49/0.43 % (1596289)Success in time 0.143 s
% 0.49/0.43 % Vampire exiting
%------------------------------------------------------------------------------