%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT130^1 : TPTP v9.3.1. Released v7.0.0.
% 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 07:48:23 AM UTC 2026
% Result : Theorem 0.48s 0.42s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT130^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:58:30 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.28 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
% 0.48/0.42 % (3005054)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.48/0.42 % (3005065)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.48/0.42 % (3005065)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
% 0.48/0.42 % (3005061)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=749861016:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.48/0.42 % (3005060)lrs+10_16_si=on:nwc=1.5:random_seed=1258869868:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.48/0.42 % (3005063)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=687188604:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.48/0.42 % (3005062)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=4291782638: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)
% 0.48/0.42 % (3005064)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3309774283:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.48/0.42 % (3005065)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=3251029125:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.48/0.42 % (3005059)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2777536516:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.48/0.42 % (3005061)Instruction limit reached!
% 0.48/0.42 % (3005061)------------------------------
% 0.48/0.42 % (3005061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005061)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005061)Termination reason: Instruction limit
% 0.48/0.42 % (3005061)Termination phase: shuffling
% 0.48/0.42 % (3005061)Time elapsed: 0.003 s
% 0.48/0.42 % (3005061)Peak memory usage: 10 MB
% 0.48/0.42 % (3005061)Instructions burned: 6 (million)
% 0.48/0.42 % (3005060)Instruction limit reached!
% 0.48/0.42 % (3005060)------------------------------
% 0.48/0.42 % (3005060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005060)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005060)Termination reason: Instruction limit
% 0.48/0.42 % (3005060)Termination phase: shuffling
% 0.48/0.42 % (3005060)Time elapsed: 0.010 s
% 0.48/0.42 % (3005060)Peak memory usage: 10 MB
% 0.48/0.42 % (3005060)Instructions burned: 20 (million)
% 0.48/0.42 % (3005063)Instruction limit reached!
% 0.48/0.42 % (3005063)------------------------------
% 0.48/0.42 % (3005063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005063)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005063)Termination reason: Instruction limit
% 0.48/0.42 % (3005063)Termination phase: Property scanning
% 0.48/0.42 % (3005063)Time elapsed: 0.012 s
% 0.48/0.42 % (3005063)Peak memory usage: 10 MB
% 0.48/0.42 % (3005063)Instructions burned: 24 (million)
% 0.48/0.42 % (3005073)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2487772469:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.48/0.42 % (3005073)Instruction limit reached!
% 0.48/0.42 % (3005073)------------------------------
% 0.48/0.42 % (3005073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005073)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005073)Termination reason: Instruction limit
% 0.48/0.42 % (3005073)Termination phase: shuffling
% 0.48/0.42 % (3005073)Time elapsed: 0.003 s
% 0.48/0.42 % (3005073)Peak memory usage: 10 MB
% 0.48/0.42 % (3005073)Instructions burned: 5 (million)
% 0.48/0.42 % (3005075)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.48/0.42 % (3005075)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2525272121:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.48/0.42 % (3005074)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=937663852:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.48/0.42 % (3005074)Instruction limit reached!
% 0.48/0.42 % (3005074)------------------------------
% 0.48/0.42 % (3005074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005074)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005074)Termination reason: Instruction limit
% 0.48/0.42 % (3005074)Termination phase: shuffling
% 0.48/0.42 % (3005074)Time elapsed: 0.003 s
% 0.48/0.42 % (3005074)Peak memory usage: 10 MB
% 0.48/0.42 % (3005074)Instructions burned: 5 (million)
% 0.48/0.42 % (3005075)Instruction limit reached!
% 0.48/0.42 % (3005075)------------------------------
% 0.48/0.42 % (3005075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005075)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005075)Termination reason: Instruction limit
% 0.48/0.42 % (3005075)Termination phase: shuffling
% 0.48/0.42 % (3005075)Time elapsed: 0.004 s
% 0.48/0.42 % (3005075)Peak memory usage: 10 MB
% 0.48/0.42 % (3005075)Instructions burned: 8 (million)
% 0.48/0.42 % (3005064)Instruction limit reached!
% 0.48/0.42 % (3005064)------------------------------
% 0.48/0.42 % (3005064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005064)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005064)Termination reason: Instruction limit
% 0.48/0.42 % (3005064)Termination phase: Property scanning
% 0.48/0.42 % (3005064)Time elapsed: 0.036 s
% 0.48/0.42 % (3005064)Peak memory usage: 12 MB
% 0.48/0.42 % (3005064)Instructions burned: 76 (million)
% 0.48/0.42 % (3005059)Instruction limit reached!
% 0.48/0.42 % (3005059)------------------------------
% 0.48/0.42 % (3005059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005059)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005059)Termination reason: Instruction limit
% 0.48/0.42 % (3005059)Termination phase: Property scanning
% 0.48/0.42 % (3005059)Time elapsed: 0.039 s
% 0.48/0.42 % (3005059)Peak memory usage: 12 MB
% 0.48/0.42 % (3005059)Instructions burned: 88 (million)
% 0.48/0.42 % (3005077)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1929405276:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.48/0.42 % (3005080)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
% 0.48/0.42 % (3005080)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.48/0.42 % (3005077)Instruction limit reached!
% 0.48/0.42 % (3005077)------------------------------
% 0.48/0.42 % (3005077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005077)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005077)Termination reason: Instruction limit
% 0.48/0.42 % (3005077)Termination phase: shuffling
% 0.48/0.42 % (3005077)Time elapsed: 0.006 s
% 0.48/0.42 % (3005077)Peak memory usage: 10 MB
% 0.48/0.42 % (3005077)Instructions burned: 12 (million)
% 0.48/0.42 % (3005080)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2700997670:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.48/0.42 % (3005081)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=4065803396:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.48/0.42 % (3005082)lrs+10_1_si=on:cs=on:random_seed=4138484485:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.48/0.42 % (3005083)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.48/0.42 % (3005083)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=2344470670:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.48/0.42 % (3005082)Instruction limit reached!
% 0.48/0.42 % (3005082)------------------------------
% 0.48/0.42 % (3005082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005082)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005082)Termination reason: Instruction limit
% 0.48/0.42 % (3005082)Termination phase: shuffling
% 0.48/0.42 % (3005082)Time elapsed: 0.004 s
% 0.48/0.42 % (3005082)Peak memory usage: 10 MB
% 0.48/0.42 % (3005082)Instructions burned: 8 (million)
% 0.48/0.42 % (3005083)Instruction limit reached!
% 0.48/0.42 % (3005083)------------------------------
% 0.48/0.42 % (3005083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005083)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005083)Termination reason: Instruction limit
% 0.48/0.42 % (3005083)Termination phase: shuffling
% 0.48/0.42 % (3005083)Time elapsed: 0.002 s
% 0.48/0.42 % (3005083)Peak memory usage: 10 MB
% 0.48/0.42 % (3005083)Instructions burned: 4 (million)
% 0.48/0.42 % (3005062) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3005054-3005062"...
% 0.48/0.42 % (3005080)Instruction limit reached!
% 0.48/0.42 % (3005080)------------------------------
% 0.48/0.42 % (3005080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005080)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005080)Termination reason: Instruction limit
% 0.48/0.42 % (3005080)Termination phase: shuffling
% 0.48/0.42 % (3005080)Time elapsed: 0.014 s
% 0.48/0.42 % (3005080)Peak memory usage: 10 MB
% 0.48/0.42 % (3005080)Instructions burned: 30 (million)
% 0.48/0.42 % (3005062)...printing done.
% 0.48/0.42 % (3005062)Refutation found. Thanks to Tanya!
% 0.48/0.42 % SZS status Theorem for theBenchmark
% 0.48/0.42 % SZS output start Proof for theBenchmark
% 0.48/0.42 thf(type_def_5, type, coindu1593790203_llist: $tType > $tType).
% 0.48/0.42 thf(type_def_6, type, set: $tType > $tType).
% 0.48/0.42 thf(type_def_7, type, itself: $tType > $tType).
% 0.48/0.42 thf(type_def_8, type, a: $tType).
% 0.48/0.42 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.48/0.42 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.42 thf(func_def_1, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.42 thf(func_def_2, type, semilattice_inf: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.42 thf(func_def_3, type, coindu1571841457prefix: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 0.48/0.42 thf(func_def_4, type, coindu526335360e_lSup: !>[X0: $tType]:((set @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_5, type, coindu268472904append: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_6, type, coindu6345450stinct: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 0.48/0.42 thf(func_def_7, type, coindu1213758845finite: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 0.48/0.42 thf(func_def_8, type, coindu2000965700_llast: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 0.48/0.42 thf(func_def_9, type, coindu300403952lexord: !>[X0: $tType]:(((X0 > X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 0.48/0.42 thf(func_def_10, type, coindu1121789889_LCons: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_11, type, coindu1598213697e_LNil: !>[X0: $tType]:(coindu1593790203_llist @ X0)).
% 0.48/0.42 thf(func_def_12, type, coindu882539134_llist: !>[X0: $tType, X1: $tType]:((X0 > (X1 > coindu1593790203_llist @ X1 > X0) > coindu1593790203_llist @ X1 > X0))).
% 0.48/0.42 thf(func_def_13, type, coindu1046438764le_lhd: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 0.48/0.42 thf(func_def_14, type, coindu335574135_lnull: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 0.48/0.42 thf(func_def_15, type, coindu1112613586e_lset: !>[X0: $tType]:((coindu1593790203_llist @ X0 > set @ X0))).
% 0.48/0.42 thf(func_def_16, type, coindu1047225960le_ltl: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_17, type, coindu1696667936prefix: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 0.48/0.42 thf(func_def_18, type, coindu574146665prefix: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 0.48/0.42 thf(func_def_19, type, coindu721411036eWhile: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_20, type, coindu543932918sorted: !>[X0: $tType]:(((X0 > X0 > $o) > coindu1593790203_llist @ X0 > $o))).
% 0.48/0.42 thf(func_def_21, type, coindu1599971794_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coindu1593790203_llist @ X1))).
% 0.48/0.42 thf(func_def_22, type, comple2143767107ompact: !>[X0: $tType]:(((set @ X0 > X0) > (X0 > X0 > $o) > X0 > $o))).
% 0.48/0.42 thf(func_def_23, type, comple1412571634l_cont: !>[X0: $tType, X1: $tType]:(((set @ X0 > X0) > (X0 > X0 > $o) > (set @ X1 > X1) > (X1 > X1 > $o) > (X0 > X1) > $o))).
% 0.48/0.42 thf(func_def_24, type, comple1986059218ssible: !>[X0: $tType]:(((set @ X0 > X0) > (X0 > X0 > $o) > (X0 > $o) > $o))).
% 0.48/0.42 thf(func_def_25, type, comple1193779247_chain: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 0.48/0.42 thf(func_def_26, type, finite_finite: !>[X0: $tType]:((set @ X0 > $o))).
% 0.48/0.42 thf(func_def_27, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.48/0.42 thf(func_def_28, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.48/0.42 thf(func_def_29, type, max: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 0.48/0.42 thf(func_def_30, type, min: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > X0))).
% 0.48/0.42 thf(func_def_31, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.48/0.42 thf(func_def_32, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.48/0.42 thf(func_def_33, type, set_atLeast: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 0.48/0.42 thf(func_def_34, type, set_atLeastAtMost: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > set @ X0))).
% 0.48/0.42 thf(func_def_35, type, set_atMost: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 0.48/0.42 thf(func_def_36, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.48/0.42 thf(func_def_37, type, ya: set @ coindu1593790203_llist @ a).
% 0.48/0.42 thf(func_def_38, type, less_eq: (a > a > $o)).
% 0.48/0.42 thf(func_def_39, type, xs: coindu1593790203_llist @ a).
% 0.48/0.42 thf(func_def_43, type, db0: !>[X0: $tType]:(X0)).
% 0.48/0.42 thf(func_def_44, type, db1: !>[X0: $tType]:(X0)).
% 0.48/0.42 thf(func_def_45, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.48/0.42 thf(func_def_46, type, vOR: ($o > $o > $o)).
% 0.48/0.42 thf(func_def_47, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.48/0.42 thf(func_def_48, type, vAND: ($o > $o > $o)).
% 0.48/0.42 thf(func_def_49, type, db4: !>[X0: $tType]:(X0)).
% 0.48/0.42 thf(func_def_50, type, db2: !>[X0: $tType]:(X0)).
% 0.48/0.42 thf(func_def_51, type, db3: !>[X0: $tType]:(X0)).
% 0.48/0.42 thf(func_def_52, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.48/0.42 thf(func_def_53, type, vNOT: ($o > $o)).
% 0.48/0.42 thf(func_def_54, type, db5: !>[X0: $tType]:(X0)).
% 0.48/0.42 thf(func_def_55, type, db6: !>[X0: $tType]:(X0)).
% 0.48/0.42 thf(func_def_56, type, vIMP: ($o > $o > $o)).
% 0.48/0.42 thf(func_def_57, type, sP0: !>[X0: $tType]:((coindu1593790203_llist @ X0 > (X0 > X0 > $o) > coindu1593790203_llist @ X0 > $o))).
% 0.48/0.42 thf(func_def_58, type, sK1: !>[X0: $tType]:(((X0 > X0 > $o) > (coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_59, type, sK2: !>[X0: $tType]:(((X0 > X0 > $o) > (coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_60, type, sK3: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 0.48/0.42 thf(func_def_61, type, sK4: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_62, type, sK5: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_63, type, sK6: !>[X0: $tType]:(((X0 > X0 > $o) > (coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_64, type, sK7: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_65, type, sK8: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 0.48/0.42 thf(func_def_66, type, sK9: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_67, type, sK10: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 0.48/0.42 thf(func_def_68, type, sK11: !>[X0: $tType]:((coindu1593790203_llist @ X0 > (coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_69, type, sK12: ((coindu1593790203_llist @ a > $o) > coindu1593790203_llist @ a)).
% 0.48/0.42 thf(func_def_70, type, sK13: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_71, type, sK14: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_72, type, sK15: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_73, type, sK16: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > X0))).
% 0.48/0.42 thf(func_def_74, type, sK17: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_75, type, sK18: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_76, type, sK19: !>[X0: $tType]:((coindu1593790203_llist @ X0 > (X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_77, type, sK20: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_78, type, sK21: !>[X0: $tType]:((set @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_79, type, sK22: !>[X0: $tType]:((set @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_80, type, sK23: (coindu1593790203_llist @ a > a)).
% 0.48/0.42 thf(func_def_81, type, sK24: (coindu1593790203_llist @ a > coindu1593790203_llist @ a)).
% 0.48/0.42 thf(func_def_82, type, sK25: (coindu1593790203_llist @ a > a)).
% 0.48/0.42 thf(func_def_83, type, sK26: (coindu1593790203_llist @ a > a)).
% 0.48/0.42 thf(func_def_84, type, sK27: !>[X0: $tType]:((X0 > (coindu1593790203_llist @ X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_85, type, sK28: !>[X0: $tType]:((X0 > (coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_86, type, sK29: !>[X0: $tType]:((X0 > (coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_87, type, sK30: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_88, type, sK31: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > X0))).
% 0.48/0.42 thf(func_def_89, type, sK32: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_90, type, sK33: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_91, type, sK34: !>[X0: $tType]:((coindu1593790203_llist @ X0 > (X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_92, type, sK35: !>[X0: $tType]:((set @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_93, type, sK36: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_94, type, sK37: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_95, type, sK38: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_96, type, sK39: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_97, type, sK40: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_98, type, sK41: !>[X0: $tType]:((coindu1593790203_llist @ X0 > set @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_99, type, sK42: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_100, type, sK43: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_101, type, sK44: !>[X0: $tType]:((set @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_102, type, sK45: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_103, type, sK46: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_104, type, sK47: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_105, type, sK48: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_106, type, sK49: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.48/0.42 thf(func_def_107, type, sK50: coindu1593790203_llist @ a).
% 0.48/0.42 thf(func_def_108, type, sK51: (coindu1593790203_llist @ a > a)).
% 0.48/0.42 thf(func_def_109, type, sK52: (coindu1593790203_llist @ a > coindu1593790203_llist @ a)).
% 0.48/0.42 thf(func_def_110, type, sK53: (coindu1593790203_llist @ a > a)).
% 0.48/0.42 thf(func_def_111, type, sK54: (coindu1593790203_llist @ a > a)).
% 0.48/0.42 thf(func_def_112, type, sK55: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0 > X0))).
% 0.48/0.42 thf(func_def_113, type, sK56: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_114, type, sK57: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_115, type, sK58: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 0.48/0.42 thf(func_def_116, type, sK59: !>[X0: $tType]:((coindu1593790203_llist @ X0 > (X0 > X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_117, type, sK60: !>[X0: $tType]:((coindu1593790203_llist @ X0 > (X0 > X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_118, type, sK61: !>[X0: $tType]:((coindu1593790203_llist @ X0 > (X0 > X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_119, type, sK62: !>[X0: $tType]:((set @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_120, type, sK63: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_121, type, sK64: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 0.48/0.42 thf(func_def_122, type, sK65: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_123, type, sK66: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_124, type, sK67: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_125, type, sK68: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_126, type, sK69: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_127, type, sK70: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_128, type, sK71: !>[X0: $tType]:(((X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_129, type, sK72: !>[X0: $tType]:((coindu1593790203_llist @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_130, type, sK73: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_131, type, sK74: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_132, type, sK75: ((coindu1593790203_llist @ a > $o) > coindu1593790203_llist @ a)).
% 0.48/0.42 thf(func_def_133, type, sK76: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_134, type, sK77: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 0.48/0.42 thf(func_def_135, type, sK78: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_136, type, sK79: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_137, type, sK80: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > X0))).
% 0.48/0.42 thf(func_def_138, type, sK81: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_139, type, sK82: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_140, type, sK83: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_141, type, sK84: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_142, type, sK85: !>[X0: $tType]:(((X0 > X0 > $o) > (coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_143, type, sK86: !>[X0: $tType]:((set @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_144, type, sK87: !>[X0: $tType]:((set @ coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_145, type, sK88: !>[X0: $tType]:((coindu1593790203_llist @ X0 > (X0 > X0 > $o) > coindu1593790203_llist @ X0 > X0))).
% 0.48/0.42 thf(func_def_146, type, sK89: !>[X0: $tType]:((coindu1593790203_llist @ X0 > (X0 > X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_147, type, sK90: !>[X0: $tType]:((coindu1593790203_llist @ X0 > (X0 > X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_148, type, sK91: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > (X0 > X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_149, type, sK92: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > (X0 > X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_150, type, sK93: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > (X0 > X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_151, type, sK94: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > (X0 > X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_152, type, sK95: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(func_def_153, type, sK96: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0))).
% 0.48/0.42 thf(func_def_154, type, sK97: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.48/0.42 thf(f2,axiom,(
% 0.48/0.42 (less_eq @ (coindu1046438764le_lhd @ a @ xs) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ xs)))),
% 0.48/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062lhd_Axs_A_092_060le_062_Alhd_A_Iltl_Axs_J_092_060close_062)).
% 0.48/0.42 thf(f5,axiom,(
% 0.48/0.42 (((coindu1046438764le_lhd @ a @ (coindu526335360e_lSup @ a @ ya))) = ((coindu1046438764le_lhd @ a @ xs)))),
% 0.48/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062lhd_A_IlSup_AY_J_A_061_Alhd_Axs_092_060close_062)).
% 0.48/0.42 thf(f6,axiom,(
% 0.48/0.42 (((coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ (coindu526335360e_lSup @ a @ ya)))) = ((coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ xs))))),
% 0.48/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5__092_060open_062lhd_A_Iltl_A_IlSup_AY_J_J_A_061_Alhd_A_Iltl_Axs_J_092_060close_062)).
% 0.48/0.42 thf(f264,conjecture,(
% 0.48/0.42 (less_eq @ (coindu1046438764le_lhd @ a @ (coindu526335360e_lSup @ a @ ya)) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ (coindu526335360e_lSup @ a @ ya))))),
% 0.48/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.48/0.42 thf(f265,negated_conjecture,(
% 0.48/0.42 ~(less_eq @ (coindu1046438764le_lhd @ a @ (coindu526335360e_lSup @ a @ ya)) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ (coindu526335360e_lSup @ a @ ya))))),
% 0.48/0.42 inference(negated_conjecture,[status(cth)],[f264])).
% 0.48/0.42 thf(f320,plain,(
% 0.48/0.42 (less_eq @ (coindu1046438764le_lhd @ a @ xs) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ xs)))),
% 0.48/0.42 inference(rectify,[],[f2])).
% 0.48/0.42 thf(f321,plain,(
% 0.48/0.42 (((less_eq @ (coindu1046438764le_lhd @ a @ xs) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ xs)))) = $true)),
% 0.48/0.42 inference(fool_elimination,[],[f320])).
% 0.48/0.42 thf(f622,plain,(
% 0.48/0.42 ~(less_eq @ (coindu1046438764le_lhd @ a @ (coindu526335360e_lSup @ a @ ya)) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ (coindu526335360e_lSup @ a @ ya))))),
% 0.48/0.42 inference(rectify,[],[f265])).
% 0.48/0.42 thf(f623,plain,(
% 0.48/0.42 ~ (((less_eq @ (coindu1046438764le_lhd @ a @ (coindu526335360e_lSup @ a @ ya)) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ (coindu526335360e_lSup @ a @ ya))))) = $true)),
% 0.48/0.42 inference(fool_elimination,[],[f622])).
% 0.48/0.42 thf(f781,plain,(
% 0.48/0.42 (((less_eq @ (coindu1046438764le_lhd @ a @ (coindu526335360e_lSup @ a @ ya)) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ (coindu526335360e_lSup @ a @ ya))))) != $true)),
% 0.48/0.42 inference(flattening,[],[f623])).
% 0.48/0.42 thf(f1295,plain,(
% 0.48/0.42 (((less_eq @ (coindu1046438764le_lhd @ a @ (coindu526335360e_lSup @ a @ ya)) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ (coindu526335360e_lSup @ a @ ya))))) != $true)),
% 0.48/0.42 inference(cnf_transformation,[],[f781])).
% 0.48/0.42 thf(f1359,plain,(
% 0.48/0.42 (((coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ xs))) = ((coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ (coindu526335360e_lSup @ a @ ya)))))),
% 0.48/0.42 inference(cnf_transformation,[],[f6])).
% 0.48/0.42 thf(f1458,plain,(
% 0.48/0.42 (((less_eq @ (coindu1046438764le_lhd @ a @ xs) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ xs)))) = $true)),
% 0.48/0.42 inference(cnf_transformation,[],[f321])).
% 0.48/0.42 thf(f1636,plain,(
% 0.48/0.42 (((coindu1046438764le_lhd @ a @ xs)) = ((coindu1046438764le_lhd @ a @ (coindu526335360e_lSup @ a @ ya))))),
% 0.48/0.42 inference(cnf_transformation,[],[f5])).
% 0.48/0.42 thf(f1816,definition,(
% 0.48/0.42 spl98_3 <=> (((coindu1046438764le_lhd @ a @ xs)) = ((coindu1046438764le_lhd @ a @ (coindu526335360e_lSup @ a @ ya))))),
% 0.48/0.42 introduced(definition,[new_symbols(definition,[spl98_3])],[avatar_definition])).
% 0.48/0.42 thf(f1819,plain,(
% 0.48/0.42 spl98_3),
% 0.48/0.42 inference(avatar_split_clause,[],[f1636,f1816])).
% 0.48/0.42 thf(f1821,definition,(
% 0.48/0.42 spl98_4 <=> (((coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ xs))) = ((coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ (coindu526335360e_lSup @ a @ ya)))))),
% 0.48/0.42 introduced(definition,[new_symbols(definition,[spl98_4])],[avatar_definition])).
% 0.48/0.42 thf(f1824,plain,(
% 0.48/0.42 spl98_4),
% 0.48/0.42 inference(avatar_split_clause,[],[f1359,f1821])).
% 0.48/0.42 thf(f1826,definition,(
% 0.48/0.42 spl98_5 <=> (((less_eq @ (coindu1046438764le_lhd @ a @ xs) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ xs)))) = $true)),
% 0.48/0.42 introduced(definition,[new_symbols(definition,[spl98_5])],[avatar_definition])).
% 0.48/0.42 thf(f1829,plain,(
% 0.48/0.42 spl98_5),
% 0.48/0.42 inference(avatar_split_clause,[],[f1458,f1826])).
% 0.48/0.42 thf(f1881,definition,(
% 0.48/0.42 spl98_16 <=> (((less_eq @ (coindu1046438764le_lhd @ a @ (coindu526335360e_lSup @ a @ ya)) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ (coindu526335360e_lSup @ a @ ya))))) = $true)),
% 0.48/0.42 introduced(definition,[new_symbols(definition,[spl98_16])],[avatar_definition])).
% 0.48/0.42 thf(f1884,plain,(
% 0.48/0.42 ~spl98_16),
% 0.48/0.42 inference(avatar_split_clause,[],[f1295,f1881])).
% 0.48/0.42 thf(f1885,definition,(
% 0.48/0.42 (((coindu1046438764le_lhd @ a @ xs)) != ((coindu1046438764le_lhd @ a @ (coindu526335360e_lSup @ a @ ya)))) | (((coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ xs))) != ((coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ (coindu526335360e_lSup @ a @ ya))))) | (((less_eq @ (coindu1046438764le_lhd @ a @ xs) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ xs)))) != $true) | (((less_eq @ (coindu1046438764le_lhd @ a @ (coindu526335360e_lSup @ a @ ya)) @ (coindu1046438764le_lhd @ a @ (coindu1047225960le_ltl @ a @ (coindu526335360e_lSup @ a @ ya))))) = $true)),
% 0.48/0.42 introduced(theory,[theory_tautology_sat_conflict])).
% 0.48/0.42 cnf(s3, plain, spl98_3, inference(sat_conversion,[],[f1819])).
% 0.48/0.42 cnf(s4, plain, spl98_4, inference(sat_conversion,[],[f1824])).
% 0.48/0.42 cnf(s5, plain, spl98_5, inference(sat_conversion,[],[f1829])).
% 0.48/0.42 cnf(s18, plain, ~spl98_16, inference(sat_conversion,[],[f1884])).
% 0.48/0.42 cnf(s19, plain, ~spl98_3 | ~spl98_4 | ~spl98_5 | spl98_16, inference(sat_conversion,[],[f1885])).
% 0.48/0.42 cnf(s20, plain, ~spl98_3, inference(rat,[],[s19,s18,s5,s4])).
% 0.48/0.42 cnf(s21, plain, $false, inference(rat,[],[s3,s20])).
% 0.48/0.42 thf(f1886,plain,(
% 0.48/0.42 $false),
% 0.48/0.42 inference(avatar_sat_refutation,[],[s21])).
% 0.48/0.42 % SZS output end Proof for theBenchmark
% 0.48/0.42 % (3005062)------------------------------
% 0.48/0.42 % (3005062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.42 % (3005062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.42 % (3005062)CaDiCaL version: 2.1.3
% 0.48/0.42 % (3005062)Termination reason: Refutation
% 0.48/0.42 % (3005062)Time elapsed: 0.068 s
% 0.48/0.42 % (3005062)Peak memory usage: 14 MB
% 0.48/0.42 % (3005062)Instructions burned: 139 (million)
% 0.48/0.42 % (3005054)Success in time 0.126 s
% 0.48/0.42 % Vampire exiting
%------------------------------------------------------------------------------