%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM163^1 : 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 07:46:22 AM UTC 2026
% Result : Theorem 0.49s 0.42s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM163^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 17:53:06 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.23/0.27 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 % (1593352)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.49/0.42 % (1593375)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4028970835:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.49/0.42 % (1593376)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 % (1593376)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 % (1593370)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3991873532:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.49/0.42 % (1593371)lrs+10_16_si=on:nwc=1.5:random_seed=3943828525:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.49/0.42 % (1593374)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3068323013:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.49/0.42 % (1593373)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=2123035577: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 % (1593376)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=2789057732:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.49/0.42 % (1593372)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2530885205:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.49/0.42 % (1593372)Instruction limit reached!
% 0.49/0.42 % (1593372)------------------------------
% 0.49/0.42 % (1593372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593372)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593372)Termination reason: Instruction limit
% 0.49/0.42 % (1593372)Termination phase: shuffling
% 0.49/0.42 % (1593372)Time elapsed: 0.002 s
% 0.49/0.42 % (1593372)Peak memory usage: 10 MB
% 0.49/0.42 % (1593372)Instructions burned: 3 (million)
% 0.49/0.42 % (1593371)Instruction limit reached!
% 0.49/0.42 % (1593371)------------------------------
% 0.49/0.42 % (1593371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593371)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593371)Termination reason: Instruction limit
% 0.49/0.42 % (1593371)Termination phase: Property scanning
% 0.49/0.42 % (1593371)Time elapsed: 0.010 s
% 0.49/0.42 % (1593371)Peak memory usage: 10 MB
% 0.49/0.42 % (1593371)Instructions burned: 20 (million)
% 0.49/0.42 % (1593374)Instruction limit reached!
% 0.49/0.42 % (1593374)------------------------------
% 0.49/0.42 % (1593374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593374)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593374)Termination reason: Instruction limit
% 0.49/0.42 % (1593374)Termination phase: Property scanning
% 0.49/0.42 % (1593374)Time elapsed: 0.012 s
% 0.49/0.42 % (1593374)Peak memory usage: 10 MB
% 0.49/0.42 % (1593374)Instructions burned: 25 (million)
% 0.49/0.42 % (1593375)Instruction limit reached!
% 0.49/0.42 % (1593375)------------------------------
% 0.49/0.42 % (1593375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593375)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593375)Termination reason: Instruction limit
% 0.49/0.42 % (1593375)Termination phase: Property scanning
% 0.49/0.42 % (1593375)Time elapsed: 0.020 s
% 0.49/0.42 % (1593375)Peak memory usage: 12 MB
% 0.49/0.42 % (1593375)Instructions burned: 78 (million)
% 0.49/0.42 % (1593396)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.49/0.42 % (1593395)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3010469521:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.49/0.42 % (1593396)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4217019494:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.49/0.42 % (1593397)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2278604686:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.49/0.42 % (1593395)Instruction limit reached!
% 0.49/0.42 % (1593395)------------------------------
% 0.49/0.42 % (1593395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593395)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593395)Termination reason: Instruction limit
% 0.49/0.42 % (1593395)Termination phase: shuffling
% 0.49/0.42 % (1593395)Time elapsed: 0.003 s
% 0.49/0.42 % (1593395)Peak memory usage: 10 MB
% 0.49/0.42 % (1593395)Instructions burned: 5 (million)
% 0.49/0.42 % (1593394)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=749837043:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.49/0.42 % (1593396)Instruction limit reached!
% 0.49/0.42 % (1593396)------------------------------
% 0.49/0.42 % (1593396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593396)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593396)Termination reason: Instruction limit
% 0.49/0.42 % (1593396)Termination phase: shuffling
% 0.49/0.42 % (1593396)Time elapsed: 0.004 s
% 0.49/0.42 % (1593396)Peak memory usage: 10 MB
% 0.49/0.42 % (1593396)Instructions burned: 8 (million)
% 0.49/0.42 % (1593394)Instruction limit reached!
% 0.49/0.42 % (1593394)------------------------------
% 0.49/0.42 % (1593394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593394)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593394)Termination reason: Instruction limit
% 0.49/0.42 % (1593394)Termination phase: shuffling
% 0.49/0.42 % (1593394)Time elapsed: 0.002 s
% 0.49/0.42 % (1593394)Peak memory usage: 10 MB
% 0.49/0.42 % (1593394)Instructions burned: 3 (million)
% 0.49/0.42 % (1593397)Instruction limit reached!
% 0.49/0.42 % (1593397)------------------------------
% 0.49/0.42 % (1593397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593397)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593397)Termination reason: Instruction limit
% 0.49/0.42 % (1593397)Termination phase: shuffling
% 0.49/0.42 % (1593397)Time elapsed: 0.006 s
% 0.49/0.42 % (1593397)Peak memory usage: 10 MB
% 0.49/0.42 % (1593397)Instructions burned: 12 (million)
% 0.49/0.42 % (1593370)Instruction limit reached!
% 0.49/0.42 % (1593370)------------------------------
% 0.49/0.42 % (1593370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593370)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593370)Termination reason: Instruction limit
% 0.49/0.42 % (1593370)Termination phase: Property scanning
% 0.49/0.42 % (1593370)Time elapsed: 0.041 s
% 0.49/0.42 % (1593370)Peak memory usage: 12 MB
% 0.49/0.42 % (1593370)Instructions burned: 87 (million)
% 0.49/0.42 % (1593405)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 % (1593405)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.49/0.42 % (1593405)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2392879358:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.49/0.42 % (1593412)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.49/0.42 % (1593408)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=1825650708:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.49/0.42 % (1593410)lrs+10_1_si=on:cs=on:random_seed=2095924897:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.49/0.42 % (1593412)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=637378482:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.49/0.42 % (1593413)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1162534409:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.49/0.42 % (1593412)Instruction limit reached!
% 0.49/0.42 % (1593412)------------------------------
% 0.49/0.42 % (1593412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593412)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593412)Termination reason: Instruction limit
% 0.49/0.42 % (1593412)Termination phase: shuffling
% 0.49/0.42 % (1593412)Time elapsed: 0.002 s
% 0.49/0.42 % (1593412)Peak memory usage: 10 MB
% 0.49/0.42 % (1593412)Instructions burned: 3 (million)
% 0.49/0.42 % (1593410)Instruction limit reached!
% 0.49/0.42 % (1593410)------------------------------
% 0.49/0.42 % (1593410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593410)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593410)Termination reason: Instruction limit
% 0.49/0.42 % (1593410)Termination phase: shuffling
% 0.49/0.42 % (1593410)Time elapsed: 0.004 s
% 0.49/0.42 % (1593410)Peak memory usage: 10 MB
% 0.49/0.42 % (1593410)Instructions burned: 8 (million)
% 0.49/0.42 % (1593405)Instruction limit reached!
% 0.49/0.42 % (1593405)------------------------------
% 0.49/0.42 % (1593405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593405)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593405)Termination reason: Instruction limit
% 0.49/0.42 % (1593405)Termination phase: shuffling
% 0.49/0.42 % (1593405)Time elapsed: 0.013 s
% 0.49/0.42 % (1593405)Peak memory usage: 10 MB
% 0.49/0.42 % (1593405)Instructions burned: 29 (million)
% 0.49/0.42 % (1593373) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1593352-1593373"...
% 0.49/0.42 % (1593413) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1593352-1593413"...
% 0.49/0.42 % (1593373)...printing done.
% 0.49/0.42 % (1593413)...printing done.
% 0.49/0.42 % (1593373)Refutation found. Thanks to Tanya!
% 0.49/0.42 % SZS status Theorem for theBenchmark
% 0.49/0.42 % SZS output start Proof for theBenchmark
% 0.49/0.42 thf(type_def_5, type, binDag_Mirabelle_dag: $tType).
% 0.49/0.42 thf(type_def_6, type, simpl_ref: $tType).
% 0.49/0.42 thf(type_def_7, type, set: $tType > $tType).
% 0.49/0.42 thf(type_def_8, type, nat: $tType).
% 0.49/0.42 thf(type_def_9, type, itself: $tType > $tType).
% 0.49/0.42 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.49/0.42 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_1, type, field: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_3, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_4, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_5, type, no_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_6, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_7, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_8, type, zero_neq_one: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_9, type, wellorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_10, type, zero_less_one: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_11, type, division_ring: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_12, type, semidom_divide: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_13, type, dense_order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_14, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_15, type, linordered_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_16, type, dense_linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_17, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_18, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_19, type, linord219039673up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_20, type, linord1659791738miring: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_21, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_22, type, condit1656338222tinuum: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_23, type, condit1037483654norder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.49/0.42 thf(func_def_24, type, binDag_Mirabelle_DAG: (binDag_Mirabelle_dag > $o)).
% 0.49/0.42 thf(func_def_25, type, binDag476092410e_Node: (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 0.49/0.42 thf(func_def_26, type, binDag_Mirabelle_Tip: binDag_Mirabelle_dag).
% 0.49/0.42 thf(func_def_27, type, binDag1297733282se_dag: !>[X0: $tType]:((X0 > (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > X0) > binDag_Mirabelle_dag > X0))).
% 0.49/0.42 thf(func_def_28, type, binDag1442713106ec_dag: !>[X0: $tType]:((X0 > (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > X0 > X0 > X0) > binDag_Mirabelle_dag > X0))).
% 0.49/0.42 thf(func_def_29, type, binDag1924123185ze_dag: (binDag_Mirabelle_dag > nat)).
% 0.49/0.42 thf(func_def_30, type, binDag1380252983set_of: (binDag_Mirabelle_dag > set @ simpl_ref)).
% 0.49/0.42 thf(func_def_31, type, binDag786255756subdag: (binDag_Mirabelle_dag > binDag_Mirabelle_dag > $o)).
% 0.49/0.42 thf(func_def_32, type, one_one: !>[X0: $tType]:(X0)).
% 0.49/0.42 thf(func_def_33, type, sgn_sgn: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_34, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_35, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.49/0.42 thf(func_def_36, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.49/0.42 thf(func_def_37, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 0.49/0.42 thf(func_def_38, type, ord_Least: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_39, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.49/0.42 thf(func_def_40, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.49/0.42 thf(func_def_41, type, order_antimono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.49/0.42 thf(func_def_42, type, order_strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.49/0.42 thf(func_def_43, type, ordering: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > $o))).
% 0.49/0.42 thf(func_def_44, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.49/0.42 thf(func_def_45, type, divide_divide: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.49/0.42 thf(func_def_46, type, zero_neq_one_of_bool: !>[X0: $tType]:(($o > X0))).
% 0.49/0.42 thf(func_def_47, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.49/0.42 thf(func_def_48, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.49/0.42 thf(func_def_49, type, x: binDag_Mirabelle_dag).
% 0.49/0.42 thf(func_def_50, type, y: binDag_Mirabelle_dag).
% 0.49/0.42 thf(func_def_51, type, z: binDag_Mirabelle_dag).
% 0.49/0.42 thf(func_def_55, type, vAND: ($o > $o > $o)).
% 0.49/0.42 thf(func_def_56, type, db1: !>[X0: $tType]:(X0)).
% 0.49/0.42 thf(func_def_57, type, db0: !>[X0: $tType]:(X0)).
% 0.49/0.42 thf(func_def_58, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.49/0.42 thf(func_def_59, type, vNOT: ($o > $o)).
% 0.49/0.42 thf(func_def_60, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.49/0.42 thf(func_def_61, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.49/0.42 thf(func_def_62, type, db2: !>[X0: $tType]:(X0)).
% 0.49/0.42 thf(func_def_63, type, vIMP: ($o > $o > $o)).
% 0.49/0.42 thf(func_def_64, type, vOR: ($o > $o > $o)).
% 0.49/0.42 thf(func_def_65, type, db3: !>[X0: $tType]:(X0)).
% 0.49/0.42 thf(func_def_66, type, db4: !>[X0: $tType]:(X0)).
% 0.49/0.42 thf(func_def_67, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.49/0.42 thf(func_def_68, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.49/0.42 thf(func_def_69, type, sP2: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 0.49/0.42 thf(func_def_70, type, sK3: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_71, type, sK4: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_72, type, sK5: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_73, type, sK6: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_74, type, sK7: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_75, type, sK8: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_76, type, sK9: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_77, type, sK10: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_78, type, sK11: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_79, type, sK12: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_80, type, sK13: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_81, type, sK14: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 0.49/0.42 thf(func_def_82, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_83, type, sK16: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_84, type, sK17: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_85, type, sK18: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_86, type, sK19: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_87, type, sK20: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_88, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_89, type, sK22: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_90, type, sK23: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 0.49/0.42 thf(func_def_91, type, sK24: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_92, type, sK25: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_93, type, sK26: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_94, type, sK27: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_95, type, sK28: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_96, type, sK29: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 0.49/0.42 thf(func_def_97, type, sK30: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_98, type, sK31: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_99, type, sK32: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_100, type, sK33: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.49/0.42 thf(func_def_101, type, sK34: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_102, type, sK35: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_103, type, sK36: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_104, type, sK37: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_105, type, sK38: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_106, type, sK39: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_107, type, sK40: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_108, type, sK41: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_109, type, sK42: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_110, type, sK43: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_111, type, sK44: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 0.49/0.42 thf(func_def_112, type, sK45: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_113, type, sK46: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.49/0.42 thf(func_def_114, type, sK47: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_115, type, sK48: ((binDag_Mirabelle_dag > $o) > binDag_Mirabelle_dag)).
% 0.49/0.42 thf(func_def_116, type, sK49: ((binDag_Mirabelle_dag > $o) > simpl_ref)).
% 0.49/0.42 thf(func_def_117, type, sK50: ((binDag_Mirabelle_dag > $o) > binDag_Mirabelle_dag)).
% 0.49/0.42 thf(func_def_118, type, sK51: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_119, type, sK52: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_120, type, sK53: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.49/0.42 thf(func_def_121, type, sK54: !>[X0: $tType]:((X0 > X0 > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_122, type, sK55: !>[X0: $tType]:((X0 > X0 > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_123, type, sK56: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_124, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_125, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_126, type, sK59: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_127, type, sK60: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_128, type, sK61: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_129, type, sK62: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_130, type, sK63: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_131, type, sK64: (binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 0.49/0.42 thf(func_def_132, type, sK65: (binDag_Mirabelle_dag > simpl_ref)).
% 0.49/0.42 thf(func_def_133, type, sK66: (binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 0.49/0.42 thf(func_def_134, type, sK67: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_135, type, sK68: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_136, type, sK69: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_137, type, sK70: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_138, type, sK71: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_139, type, sK72: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 0.49/0.42 thf(func_def_140, type, sK73: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_141, type, sK74: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_142, type, sK75: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_143, type, sK76: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_144, type, sK77: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_145, type, sK78: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_146, type, sK79: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_147, type, sK80: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_148, type, sK81: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_149, type, sK82: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_150, type, sK83: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_151, type, sK84: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_152, type, sK85: !>[X0: $tType]:((X0 > X0))).
% 0.49/0.42 thf(func_def_153, type, sK86: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_154, type, sK87: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_155, type, sK88: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1 > X0))).
% 0.49/0.42 thf(func_def_156, type, sK89: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1))).
% 0.49/0.42 thf(func_def_157, type, sK90: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1 > X0))).
% 0.49/0.42 thf(func_def_158, type, sK91: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1 > X0))).
% 0.49/0.42 thf(func_def_159, type, sK92: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1))).
% 0.49/0.42 thf(func_def_160, type, sK93: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_161, type, sK94: !>[X0: $tType, X1: $tType]:((((X1 > X0) > X1 > X0 > $o) > X1 > X0))).
% 0.49/0.42 thf(func_def_162, type, sK95: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_163, type, sK96: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_164, type, sK97: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_165, type, sK98: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_166, type, sK99: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_167, type, sK100: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.49/0.42 thf(func_def_168, type, sK101: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(func_def_169, type, sK102: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_170, type, sK103: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.49/0.42 thf(func_def_171, type, sK104: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.49/0.42 thf(f1,axiom,(
% 0.49/0.42 (x = y)),
% 0.49/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_True)).
% 0.49/0.42 thf(f2,axiom,(
% 0.49/0.42 (ord_less_eq @ binDag_Mirabelle_dag @ y @ z)),
% 0.49/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_y__z)).
% 0.49/0.42 thf(f283,conjecture,(
% 0.49/0.42 (ord_less_eq @ binDag_Mirabelle_dag @ x @ z)),
% 0.49/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.49/0.42 thf(f284,negated_conjecture,(
% 0.49/0.42 ~(ord_less_eq @ binDag_Mirabelle_dag @ x @ z)),
% 0.49/0.42 inference(negated_conjecture,[status(cth)],[f283])).
% 0.49/0.42 thf(f330,plain,(
% 0.49/0.42 ~(ord_less_eq @ binDag_Mirabelle_dag @ x @ z)),
% 0.49/0.42 inference(rectify,[],[f284])).
% 0.49/0.42 thf(f331,plain,(
% 0.49/0.42 ~ (((ord_less_eq @ binDag_Mirabelle_dag @ x @ z)) = $true)),
% 0.49/0.42 inference(fool_elimination,[],[f330])).
% 0.49/0.42 thf(f464,plain,(
% 0.49/0.42 (ord_less_eq @ binDag_Mirabelle_dag @ y @ z)),
% 0.49/0.42 inference(rectify,[],[f2])).
% 0.49/0.42 thf(f465,plain,(
% 0.49/0.42 (((ord_less_eq @ binDag_Mirabelle_dag @ y @ z)) = $true)),
% 0.49/0.42 inference(fool_elimination,[],[f464])).
% 0.49/0.42 thf(f827,plain,(
% 0.49/0.42 (((ord_less_eq @ binDag_Mirabelle_dag @ x @ z)) != $true)),
% 0.49/0.42 inference(flattening,[],[f331])).
% 0.49/0.42 thf(f1490,plain,(
% 0.49/0.42 (((ord_less_eq @ binDag_Mirabelle_dag @ y @ z)) = $true)),
% 0.49/0.42 inference(cnf_transformation,[],[f465])).
% 0.49/0.42 thf(f1679,plain,(
% 0.49/0.42 (((ord_less_eq @ binDag_Mirabelle_dag @ x @ z)) != $true)),
% 0.49/0.42 inference(cnf_transformation,[],[f827])).
% 0.49/0.42 thf(f1893,plain,(
% 0.49/0.42 (x = y)),
% 0.49/0.42 inference(cnf_transformation,[],[f1])).
% 0.49/0.42 thf(f2250,definition,(
% 0.49/0.42 spl105_8 <=> (((ord_less_eq @ binDag_Mirabelle_dag @ x @ z)) = $true)),
% 0.49/0.42 introduced(definition,[new_symbols(definition,[spl105_8])],[avatar_definition])).
% 0.49/0.42 thf(f2253,plain,(
% 0.49/0.42 ~spl105_8),
% 0.49/0.42 inference(avatar_split_clause,[],[f1679,f2250])).
% 0.49/0.42 thf(f2317,definition,(
% 0.49/0.42 spl105_22 <=> (((ord_less_eq @ binDag_Mirabelle_dag @ y @ z)) = $true)),
% 0.49/0.42 introduced(definition,[new_symbols(definition,[spl105_22])],[avatar_definition])).
% 0.49/0.42 thf(f2320,plain,(
% 0.49/0.42 spl105_22),
% 0.49/0.42 inference(avatar_split_clause,[],[f1490,f2317])).
% 0.49/0.42 thf(f2327,definition,(
% 0.49/0.42 spl105_24 <=> (x = y)),
% 0.49/0.42 introduced(definition,[new_symbols(definition,[spl105_24])],[avatar_definition])).
% 0.49/0.42 thf(f2330,plain,(
% 0.49/0.42 spl105_24),
% 0.49/0.42 inference(avatar_split_clause,[],[f1893,f2327])).
% 0.49/0.42 thf(f2351,definition,(
% 0.49/0.42 (x != y) | (((ord_less_eq @ binDag_Mirabelle_dag @ y @ z)) != $true) | (((ord_less_eq @ binDag_Mirabelle_dag @ x @ z)) = $true)),
% 0.49/0.42 introduced(theory,[theory_tautology_sat_conflict])).
% 0.49/0.42 cnf(s8, plain, ~spl105_8, inference(sat_conversion,[],[f2253])).
% 0.49/0.42 cnf(s21, plain, spl105_22, inference(sat_conversion,[],[f2320])).
% 0.49/0.42 cnf(s23, plain, spl105_24, inference(sat_conversion,[],[f2330])).
% 0.49/0.42 cnf(s28, plain, spl105_8 | ~spl105_22 | ~spl105_24, inference(sat_conversion,[],[f2351])).
% 0.49/0.42 cnf(s29, plain, spl105_8, inference(rat,[],[s28,s23,s21])).
% 0.49/0.42 cnf(s30, plain, $false, inference(rat,[],[s8,s29])).
% 0.49/0.42 thf(f2352,plain,(
% 0.49/0.42 $false),
% 0.49/0.42 inference(avatar_sat_refutation,[],[s30])).
% 0.49/0.42 % SZS output end Proof for theBenchmark
% 0.49/0.42 % (1593373)------------------------------
% 0.49/0.42 % (1593373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.42 % (1593373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.42 % (1593373)CaDiCaL version: 2.1.3
% 0.49/0.42 % (1593373)Termination reason: Refutation
% 0.49/0.42 % (1593373)Time elapsed: 0.075 s
% 0.49/0.42 % (1593373)Peak memory usage: 14 MB
% 0.49/0.42 % (1593373)Instructions burned: 159 (million)
% 0.49/0.42 % (1593352)Success in time 0.138 s
% 0.49/0.42 % Vampire exiting
%------------------------------------------------------------------------------