%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT251^1 : 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 : n008.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 07:48:38 AM UTC 2026
% Result : Theorem 1.07s 0.56s
% Output : Refutation 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT251^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 18:15:39 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.20/0.30 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
% 0.31/0.45 % (3532244)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.31/0.45 % (3532253)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=782057087:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.31/0.45 % (3532250)lrs+10_16_si=on:nwc=1.5:random_seed=649884452:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.31/0.45 % (3532249)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3352349503:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.31/0.45 % (3532251)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=751685390:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.31/0.45 % (3532253)Instruction limit reached!
% 0.31/0.45 % (3532253)------------------------------
% 0.31/0.45 % (3532253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3532253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3532253)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3532253)Termination reason: Instruction limit
% 0.31/0.45 % (3532253)Termination phase: Property scanning
% 0.31/0.45 % (3532253)Time elapsed: 0.008 s
% 0.31/0.45 % (3532253)Peak memory usage: 11 MB
% 0.31/0.45 % (3532253)Instructions burned: 27 (million)
% 0.31/0.45 % (3532251)Instruction limit reached!
% 0.31/0.45 % (3532251)------------------------------
% 0.31/0.45 % (3532251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3532251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3532251)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3532251)Termination reason: Instruction limit
% 0.31/0.45 % (3532251)Termination phase: shuffling
% 0.31/0.45 % (3532251)Time elapsed: 0.002 s
% 0.31/0.45 % (3532251)Peak memory usage: 10 MB
% 0.31/0.45 % (3532251)Instructions burned: 4 (million)
% 0.31/0.45 % (3532252)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=1033766542:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.31/0.45 % (3532254)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2264283842:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.31/0.45 % (3532250)Instruction limit reached!
% 0.31/0.45 % (3532250)------------------------------
% 0.31/0.45 % (3532250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3532250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3532250)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3532250)Termination reason: Instruction limit
% 0.31/0.45 % (3532250)Termination phase: Property scanning
% 0.31/0.45 % (3532250)Time elapsed: 0.009 s
% 0.31/0.45 % (3532250)Peak memory usage: 10 MB
% 0.31/0.45 % (3532250)Instructions burned: 19 (million)
% 0.31/0.45 % (3532255)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.31/0.45 % (3532255)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.31/0.45 % (3532260)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=205871635:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.45 % (3532260)Instruction limit reached!
% 0.31/0.45 % (3532260)------------------------------
% 0.31/0.45 % (3532260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (3532260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (3532260)CaDiCaL version: 2.1.3
% 0.31/0.45 % (3532260)Termination reason: Instruction limit
% 0.31/0.45 % (3532260)Termination phase: shuffling
% 0.31/0.45 % (3532260)Time elapsed: 0.002 s
% 0.31/0.45 % (3532260)Peak memory usage: 10 MB
% 0.31/0.45 % (3532260)Instructions burned: 4 (million)
% 0.31/0.45 % (3532255)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=4155008246:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.31/0.45 % (3532262)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=902948766:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.07/0.49 % (3532264)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.49 % (3532262)Instruction limit reached!
% 1.07/0.49 % (3532262)------------------------------
% 1.07/0.49 % (3532262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49 % (3532262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49 % (3532262)CaDiCaL version: 2.1.3
% 1.07/0.49 % (3532262)Termination reason: Instruction limit
% 1.07/0.49 % (3532262)Termination phase: shuffling
% 1.07/0.49 % (3532262)Time elapsed: 0.003 s
% 1.07/0.49 % (3532262)Peak memory usage: 10 MB
% 1.07/0.49 % (3532262)Instructions burned: 5 (million)
% 1.07/0.49 % (3532264)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2276897111:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.07/0.49 % (3532264)Instruction limit reached!
% 1.07/0.49 % (3532264)------------------------------
% 1.07/0.49 % (3532264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49 % (3532264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49 % (3532264)CaDiCaL version: 2.1.3
% 1.07/0.49 % (3532264)Termination reason: Instruction limit
% 1.07/0.49 % (3532264)Termination phase: shuffling
% 1.07/0.49 % (3532264)Time elapsed: 0.004 s
% 1.07/0.49 % (3532264)Peak memory usage: 10 MB
% 1.07/0.49 % (3532264)Instructions burned: 8 (million)
% 1.07/0.49 % (3532266)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=431674466:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.07/0.49 % (3532266)Instruction limit reached!
% 1.07/0.49 % (3532266)------------------------------
% 1.07/0.49 % (3532266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49 % (3532266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49 % (3532266)CaDiCaL version: 2.1.3
% 1.07/0.49 % (3532266)Termination reason: Instruction limit
% 1.07/0.49 % (3532266)Termination phase: shuffling
% 1.07/0.49 % (3532266)Time elapsed: 0.006 s
% 1.07/0.49 % (3532266)Peak memory usage: 10 MB
% 1.07/0.49 % (3532266)Instructions burned: 12 (million)
% 1.07/0.49 % (3532249)Instruction limit reached!
% 1.07/0.49 % (3532249)------------------------------
% 1.07/0.49 % (3532249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49 % (3532249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49 % (3532249)CaDiCaL version: 2.1.3
% 1.07/0.49 % (3532249)Termination reason: Instruction limit
% 1.07/0.49 % (3532249)Termination phase: Property scanning
% 1.07/0.49 % (3532249)Time elapsed: 0.041 s
% 1.07/0.49 % (3532249)Peak memory usage: 12 MB
% 1.07/0.49 % (3532249)Instructions burned: 87 (million)
% 1.07/0.49 % (3532254)Instruction limit reached!
% 1.07/0.49 % (3532254)------------------------------
% 1.07/0.49 % (3532254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.49 % (3532254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.49 % (3532254)CaDiCaL version: 2.1.3
% 1.07/0.49 % (3532254)Termination reason: Instruction limit
% 1.07/0.49 % (3532254)Termination phase: Property scanning
% 1.07/0.49 % (3532254)Time elapsed: 0.037 s
% 1.07/0.49 % (3532254)Peak memory usage: 12 MB
% 1.07/0.49 % (3532254)Instructions burned: 77 (million)
% 1.07/0.49 % (3532269)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
% 1.07/0.49 % (3532269)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.49 % (3532269)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2508707693:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.07/0.49 % (3532272)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=3325887962:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.07/0.49 % (3532274)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.07/0.53 % (3532273)lrs+10_1_si=on:cs=on:random_seed=3322900891:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.07/0.53 % (3532274)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=1230453638:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.07/0.53 % (3532275)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1362654530:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.07/0.53 % (3532274)Instruction limit reached!
% 1.07/0.53 % (3532274)------------------------------
% 1.07/0.53 % (3532274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53 % (3532274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53 % (3532274)CaDiCaL version: 2.1.3
% 1.07/0.53 % (3532274)Termination reason: Instruction limit
% 1.07/0.53 % (3532274)Termination phase: shuffling
% 1.07/0.53 % (3532274)Time elapsed: 0.002 s
% 1.07/0.53 % (3532274)Peak memory usage: 10 MB
% 1.07/0.53 % (3532274)Instructions burned: 3 (million)
% 1.07/0.53 % (3532269)Instruction limit reached!
% 1.07/0.53 % (3532269)------------------------------
% 1.07/0.53 % (3532269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53 % (3532269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53 % (3532269)CaDiCaL version: 2.1.3
% 1.07/0.53 % (3532269)Termination reason: Instruction limit
% 1.07/0.53 % (3532269)Termination phase: shuffling
% 1.07/0.53 % (3532269)Time elapsed: 0.015 s
% 1.07/0.53 % (3532269)Peak memory usage: 11 MB
% 1.07/0.53 % (3532269)Instructions burned: 29 (million)
% 1.07/0.53 % (3532273)Instruction limit reached!
% 1.07/0.53 % (3532273)------------------------------
% 1.07/0.53 % (3532273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53 % (3532273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53 % (3532273)CaDiCaL version: 2.1.3
% 1.07/0.53 % (3532273)Termination reason: Instruction limit
% 1.07/0.53 % (3532273)Termination phase: shuffling
% 1.07/0.53 % (3532273)Time elapsed: 0.005 s
% 1.07/0.53 % (3532273)Peak memory usage: 10 MB
% 1.07/0.53 % (3532273)Instructions burned: 10 (million)
% 1.07/0.53 % (3532282)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=853154323:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.07/0.53 % (3532275)Instruction limit reached!
% 1.07/0.53 % (3532275)------------------------------
% 1.07/0.53 % (3532275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53 % (3532275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53 % (3532275)CaDiCaL version: 2.1.3
% 1.07/0.53 % (3532275)Termination reason: Instruction limit
% 1.07/0.53 % (3532275)Termination phase: Preprocessing 3
% 1.07/0.53 % (3532275)Time elapsed: 0.019 s
% 1.07/0.53 % (3532275)Peak memory usage: 11 MB
% 1.07/0.53 % (3532275)Instructions burned: 40 (million)
% 1.07/0.53 % (3532281)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1762354537:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.07/0.53 % (3532283)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=262219346:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.07/0.53 % (3532282)Instruction limit reached!
% 1.07/0.53 % (3532282)------------------------------
% 1.07/0.53 % (3532282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53 % (3532282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53 % (3532282)CaDiCaL version: 2.1.3
% 1.07/0.53 % (3532282)Termination reason: Instruction limit
% 1.07/0.53 % (3532282)Termination phase: Property scanning
% 1.07/0.53 % (3532282)Time elapsed: 0.007 s
% 1.07/0.53 % (3532282)Peak memory usage: 11 MB
% 1.07/0.53 % (3532282)Instructions burned: 29 (million)
% 1.07/0.53 % (3532283)Instruction limit reached!
% 1.07/0.53 % (3532283)------------------------------
% 1.07/0.53 % (3532283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53 % (3532283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53 % (3532283)CaDiCaL version: 2.1.3
% 1.07/0.53 % (3532283)Termination reason: Instruction limit
% 1.07/0.53 % (3532283)Termination phase: shuffling
% 1.07/0.56 % (3532283)Time elapsed: 0.007 s
% 1.07/0.56 % (3532283)Peak memory usage: 10 MB
% 1.07/0.56 % (3532283)Instructions burned: 14 (million)
% 1.07/0.56 % (3532288)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2112490890:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.07/0.56 % (3532272)Instruction limit reached!
% 1.07/0.56 % (3532272)------------------------------
% 1.07/0.56 % (3532272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532272)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532272)Termination reason: Instruction limit
% 1.07/0.56 % (3532272)Termination phase: Preprocessing 1
% 1.07/0.56 % (3532272)Time elapsed: 0.044 s
% 1.07/0.56 % (3532272)Peak memory usage: 11 MB
% 1.07/0.56 % (3532272)Instructions burned: 87 (million)
% 1.07/0.56 % (3532288)Instruction limit reached!
% 1.07/0.56 % (3532288)------------------------------
% 1.07/0.56 % (3532288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532288)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532288)Termination reason: Instruction limit
% 1.07/0.56 % (3532288)Termination phase: shuffling
% 1.07/0.56 % (3532288)Time elapsed: 0.006 s
% 1.07/0.56 % (3532288)Peak memory usage: 10 MB
% 1.07/0.56 % (3532285)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2544134329:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.07/0.56 % (3532288)Instructions burned: 15 (million)
% 1.07/0.56 % (3532281)Refutation not found, incomplete strategy
% 1.07/0.56 % (3532281)------------------------------
% 1.07/0.56 % (3532281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532281)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532281)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.56 % (3532281)Time elapsed: 0.027 s
% 1.07/0.56 % (3532281)Peak memory usage: 13 MB
% 1.07/0.56 % (3532281)Instructions burned: 55 (million)
% 1.07/0.56 % (3532281)------------------------------
% 1.07/0.56 % (3532281)------------------------------
% 1.07/0.56 % (3532291)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1471397421:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.07/0.56 % (3532289)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2430185442:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.07/0.56 % (3532289)Instruction limit reached!
% 1.07/0.56 % (3532289)------------------------------
% 1.07/0.56 % (3532289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532289)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532289)Termination reason: Instruction limit
% 1.07/0.56 % (3532289)Termination phase: shuffling
% 1.07/0.56 % (3532289)Time elapsed: 0.002 s
% 1.07/0.56 % (3532289)Peak memory usage: 10 MB
% 1.07/0.56 % (3532289)Instructions burned: 3 (million)
% 1.07/0.56 % (3532294)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1739289634:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.07/0.56 % (3532291)Instruction limit reached!
% 1.07/0.56 % (3532291)------------------------------
% 1.07/0.56 % (3532291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532291)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532291)Termination reason: Instruction limit
% 1.07/0.56 % (3532291)Termination phase: shuffling
% 1.07/0.56 % (3532291)Time elapsed: 0.013 s
% 1.07/0.56 % (3532291)Peak memory usage: 11 MB
% 1.07/0.56 % (3532291)Instructions burned: 27 (million)
% 1.07/0.56 % (3532293)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1224661446:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.07/0.56 % (3532297)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 1.07/0.56 % (3532297)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.07/0.56 % (3532297)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3689550889:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.07/0.56 % (3532293)Instruction limit reached!
% 1.07/0.56 % (3532293)------------------------------
% 1.07/0.56 % (3532293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532293)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532293)Termination reason: Instruction limit
% 1.07/0.56 % (3532293)Termination phase: Property scanning
% 1.07/0.56 % (3532293)Time elapsed: 0.011 s
% 1.07/0.56 % (3532293)Peak memory usage: 11 MB
% 1.07/0.56 % (3532293)Instructions burned: 24 (million)
% 1.07/0.56 % (3532299)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.07/0.56 % (3532299)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2387917885:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.07/0.56 % (3532297)Instruction limit reached!
% 1.07/0.56 % (3532297)------------------------------
% 1.07/0.56 % (3532297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532297)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532297)Termination reason: Instruction limit
% 1.07/0.56 % (3532297)Termination phase: shuffling
% 1.07/0.56 % (3532297)Time elapsed: 0.007 s
% 1.07/0.56 % (3532297)Peak memory usage: 10 MB
% 1.07/0.56 % (3532297)Instructions burned: 15 (million)
% 1.07/0.56 % (3532255)Instruction limit reached!
% 1.07/0.56 % (3532255)------------------------------
% 1.07/0.56 % (3532255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532255)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532255)Termination reason: Instruction limit
% 1.07/0.56 % (3532255)Termination phase: Saturation
% 1.07/0.56 % (3532255)Time elapsed: 0.135 s
% 1.07/0.56 % (3532255)Peak memory usage: 14 MB
% 1.07/0.56 % (3532255)Instructions burned: 157 (million)
% 1.07/0.56 % (3532299)Instruction limit reached!
% 1.07/0.56 % (3532299)------------------------------
% 1.07/0.56 % (3532299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532299)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532299)Termination reason: Instruction limit
% 1.07/0.56 % (3532299)Termination phase: shuffling
% 1.07/0.56 % (3532299)Time elapsed: 0.004 s
% 1.07/0.56 % (3532299)Peak memory usage: 10 MB
% 1.07/0.56 % (3532299)Instructions burned: 8 (million)
% 1.07/0.56 % (3532294)Instruction limit reached!
% 1.07/0.56 % (3532294)------------------------------
% 1.07/0.56 % (3532294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532294)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532294)Termination reason: Instruction limit
% 1.07/0.56 % (3532294)Termination phase: Property scanning
% 1.07/0.56 % (3532294)Time elapsed: 0.029 s
% 1.07/0.56 % (3532294)Peak memory usage: 12 MB
% 1.07/0.56 % (3532294)Instructions burned: 61 (million)
% 1.07/0.56 % (3532302)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3224246674:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.07/0.56 % (3532304)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=283634947:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.07/0.56 % (3532305)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3287852931:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.07/0.56 % (3532306)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2315566167:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.07/0.56 % (3532304)Instruction limit reached!
% 1.07/0.56 % (3532304)------------------------------
% 1.07/0.56 % (3532304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532304)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532304)Termination reason: Instruction limit
% 1.07/0.56 % (3532304)Termination phase: shuffling
% 1.07/0.56 % (3532304)Time elapsed: 0.004 s
% 1.07/0.56 % (3532304)Peak memory usage: 10 MB
% 1.07/0.56 % (3532304)Instructions burned: 8 (million)
% 1.07/0.56 % (3532307)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2053951770:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.07/0.56 % (3532302)Instruction limit reached!
% 1.07/0.56 % (3532302)------------------------------
% 1.07/0.56 % (3532302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532302)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532302)Termination reason: Instruction limit
% 1.07/0.56 % (3532302)Termination phase: shuffling
% 1.07/0.56 % (3532302)Time elapsed: 0.015 s
% 1.07/0.56 % (3532302)Peak memory usage: 11 MB
% 1.07/0.56 % (3532302)Instructions burned: 33 (million)
% 1.07/0.56 % (3532306)Instruction limit reached!
% 1.07/0.56 % (3532306)------------------------------
% 1.07/0.56 % (3532306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532306)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532306)Termination reason: Instruction limit
% 1.07/0.56 % (3532306)Termination phase: Property scanning
% 1.07/0.56 % (3532306)Time elapsed: 0.010 s
% 1.07/0.56 % (3532306)Peak memory usage: 11 MB
% 1.07/0.56 % (3532306)Instructions burned: 22 (million)
% 1.07/0.56 % (3532305)Instruction limit reached!
% 1.07/0.56 % (3532305)------------------------------
% 1.07/0.56 % (3532305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532305)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532305)Termination reason: Instruction limit
% 1.07/0.56 % (3532305)Termination phase: shuffling
% 1.07/0.56 % (3532305)Time elapsed: 0.018 s
% 1.07/0.56 % (3532305)Peak memory usage: 10 MB
% 1.07/0.56 % (3532305)Instructions burned: 23 (million)
% 1.07/0.56 % (3532285)Instruction limit reached!
% 1.07/0.56 % (3532285)------------------------------
% 1.07/0.56 % (3532285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532285)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532285)Termination reason: Instruction limit
% 1.07/0.56 % (3532285)Termination phase: Saturation
% 1.07/0.56 % (3532285)Time elapsed: 0.097 s
% 1.07/0.56 % (3532285)Peak memory usage: 14 MB
% 1.07/0.56 % (3532285)Instructions burned: 327 (million)
% 1.07/0.56 % (3532314)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3310906007:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.07/0.56 % (3532252) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3532244-3532252"...
% 1.07/0.56 % (3532252)...printing done.
% 1.07/0.56 % (3532315)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4289519387:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.07/0.56 % (3532252)Refutation found. Thanks to Tanya!
% 1.07/0.56 % SZS status Theorem for theBenchmark
% 1.07/0.56 % SZS output start Proof for theBenchmark
% 1.07/0.56 thf(type_def_5, type, stream170649215stream: $tType > $tType).
% 1.07/0.56 thf(type_def_6, type, list: $tType > $tType).
% 1.07/0.56 thf(type_def_7, type, set: $tType > $tType).
% 1.07/0.56 thf(type_def_8, type, nat: $tType).
% 1.07/0.56 thf(type_def_9, type, itself: $tType > $tType).
% 1.07/0.56 thf(type_def_10, type, a: $tType).
% 1.07/0.56 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 1.07/0.56 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.07/0.56 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.07/0.56 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.07/0.56 thf(func_def_3, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.07/0.56 thf(func_def_4, type, bNF_Greatest_Shift: !>[X0: $tType]:((set @ list @ X0 > X0 > set @ list @ X0))).
% 1.07/0.56 thf(func_def_5, type, bNF_Greatest_Succ: !>[X0: $tType]:((set @ list @ X0 > list @ X0 > set @ X0))).
% 1.07/0.56 thf(func_def_6, type, bNF_Greatest_shift: !>[X0: $tType, X1: $tType]:(((list @ X0 > X1) > X0 > list @ X0 > X1))).
% 1.07/0.56 thf(func_def_7, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.07/0.56 thf(func_def_8, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_9, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 1.07/0.56 thf(func_def_10, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_11, type, fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 1.07/0.56 thf(func_def_12, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_13, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 1.07/0.56 thf(func_def_14, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_15, type, nil: !>[X0: $tType]:(list @ X0)).
% 1.07/0.56 thf(func_def_16, type, case_list: !>[X0: $tType, X1: $tType]:((X0 > (X1 > list @ X1 > X0) > list @ X1 > X0))).
% 1.07/0.56 thf(func_def_17, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 1.07/0.56 thf(func_def_18, type, map: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 1.07/0.56 thf(func_def_19, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_20, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 1.07/0.56 thf(func_def_21, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 1.07/0.56 thf(func_def_22, type, map_tailrec: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 1.07/0.56 thf(func_def_23, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 1.07/0.56 thf(func_def_24, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 1.07/0.56 thf(func_def_25, type, member: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 1.07/0.56 thf(func_def_26, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 1.07/0.56 thf(func_def_27, type, ord_lexordp: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 1.07/0.56 thf(func_def_28, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 1.07/0.56 thf(func_def_29, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.07/0.56 thf(func_def_30, type, remdups_adj: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_31, type, replicate: !>[X0: $tType]:((nat > X0 > list @ X0))).
% 1.07/0.56 thf(func_def_32, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_33, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_34, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_35, type, sublists: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 1.07/0.56 thf(func_def_36, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_37, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.07/0.56 thf(func_def_38, type, type2: !>[X0: $tType]:(itself @ X0)).
% 1.07/0.56 thf(func_def_39, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.07/0.56 thf(func_def_40, type, stream317748790_cycle: !>[X0: $tType]:((list @ X0 > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_41, type, stream942386729e_flat: !>[X0: $tType]:((stream170649215stream @ list @ X0 > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_42, type, stream1195056575_while: !>[X0: $tType]:(((X0 > $o) > stream170649215stream @ X0 > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_43, type, stream1035003186_shift: !>[X0: $tType]:((list @ X0 > stream170649215stream @ X0 > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_44, type, stream1586597341member: !>[X0: $tType]:((X0 > stream170649215stream @ X0 > $o))).
% 1.07/0.56 thf(func_def_45, type, stream641971652_SCons: !>[X0: $tType]:((X0 > stream170649215stream @ X0 > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_46, type, stream1342653232stream: !>[X0: $tType, X1: $tType]:(((X0 > stream170649215stream @ X0 > X1) > stream170649215stream @ X0 > X1))).
% 1.07/0.56 thf(func_def_47, type, stream_Mirabelle_shd: !>[X0: $tType]:((stream170649215stream @ X0 > X0))).
% 1.07/0.56 thf(func_def_48, type, stream2128578057e_smap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > stream170649215stream @ X0 > stream170649215stream @ X1))).
% 1.07/0.56 thf(func_def_49, type, stream_Mirabelle_stl: !>[X0: $tType]:((stream170649215stream @ X0 > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_50, type, stream2015131171treams: !>[X0: $tType]:((set @ X0 > set @ stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_51, type, member2: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.07/0.56 thf(func_def_52, type, ws: stream170649215stream @ list @ a).
% 1.07/0.56 thf(func_def_56, type, db0: !>[X0: $tType]:(X0)).
% 1.07/0.56 thf(func_def_57, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.07/0.56 thf(func_def_58, type, db2: !>[X0: $tType]:(X0)).
% 1.07/0.56 thf(func_def_59, type, db1: !>[X0: $tType]:(X0)).
% 1.07/0.56 thf(func_def_60, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.07/0.56 thf(func_def_61, type, vOR: ($o > $o > $o)).
% 1.07/0.56 thf(func_def_62, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.07/0.56 thf(func_def_63, type, vAND: ($o > $o > $o)).
% 1.07/0.56 thf(func_def_64, type, vNOT: ($o > $o)).
% 1.07/0.56 thf(func_def_65, type, db5: !>[X0: $tType]:(X0)).
% 1.07/0.56 thf(func_def_66, type, db3: !>[X0: $tType]:(X0)).
% 1.07/0.56 thf(func_def_67, type, db4: !>[X0: $tType]:(X0)).
% 1.07/0.56 thf(func_def_68, type, db6: !>[X0: $tType]:(X0)).
% 1.07/0.56 thf(func_def_69, type, sP0: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 1.07/0.56 thf(func_def_70, type, sP1: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 1.07/0.56 thf(func_def_71, type, sP2: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 1.07/0.56 thf(func_def_72, type, sP3: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > $o))).
% 1.07/0.56 thf(func_def_73, type, sP4: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 1.07/0.56 thf(func_def_74, type, sK5: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_75, type, sK6: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_76, type, sK7: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_77, type, sK8: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_78, type, sK9: !>[X0: $tType]:(X0)).
% 1.07/0.56 thf(func_def_79, type, sK10: !>[X0: $tType, X1: $tType]:((list @ X0 > (X1 > X0) > list @ X0 > list @ X1 > X1))).
% 1.07/0.56 thf(func_def_80, type, sK11: !>[X0: $tType, X1: $tType]:((list @ X0 > (X1 > X0) > list @ X0 > list @ X1 > list @ X1))).
% 1.07/0.56 thf(func_def_81, type, sK12: !>[X0: $tType]:(((stream170649215stream @ X0 > stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_82, type, sK13: !>[X0: $tType]:(((stream170649215stream @ X0 > stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_83, type, sK14: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0 > list @ X0))).
% 1.07/0.56 thf(func_def_84, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.07/0.56 thf(func_def_85, type, sK16: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_86, type, sK17: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_87, type, sK18: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_88, type, sK19: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_89, type, sK20: !>[X0: $tType]:((list @ X0 > X0))).
% 1.07/0.56 thf(func_def_90, type, sK21: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_91, type, sK22: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_92, type, sK23: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_93, type, sK24: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_94, type, sK25: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_95, type, sK26: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_96, type, sK27: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_97, type, sK28: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_98, type, sK29: !>[X0: $tType]:((list @ X0 > X0))).
% 1.07/0.56 thf(func_def_99, type, sK30: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_100, type, sK31: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_101, type, sK32: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_102, type, sK33: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_103, type, sK34: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_104, type, sK35: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_105, type, sK36: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_106, type, sK37: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_107, type, sK38: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_108, type, sK39: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_109, type, sK40: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_110, type, sK41: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_111, type, sK42: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_112, type, sK43: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_113, type, sK44: !>[X0: $tType]:(X0)).
% 1.07/0.56 thf(func_def_114, type, sK45: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1) > list @ X0 > X1 > X0))).
% 1.07/0.56 thf(func_def_115, type, sK46: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1) > list @ X0 > X1 > list @ X0))).
% 1.07/0.56 thf(func_def_116, type, sK47: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 1.07/0.56 thf(func_def_117, type, sK48: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.07/0.56 thf(func_def_118, type, sK49: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 1.07/0.56 thf(func_def_119, type, sK50: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.07/0.56 thf(func_def_120, type, sK51: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_121, type, sK52: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 1.07/0.56 thf(func_def_122, type, sK53: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0 > $o) > list @ X0 > X1))).
% 1.07/0.56 thf(func_def_123, type, sK54: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0 > $o) > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_124, type, sK55: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0 > $o) > list @ X0 > list @ X1))).
% 1.07/0.56 thf(func_def_125, type, sK56: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0 > $o) > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_126, type, sK57: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X1 > X0) > X0 > X1))).
% 1.07/0.56 thf(func_def_127, type, sK58: !>[X0: $tType, X1: $tType]:((list @ X0 > list @ X1 > (X1 > X0) > X0 > list @ X1))).
% 1.07/0.56 thf(func_def_128, type, sK59: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_129, type, sK60: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_130, type, sK61: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_131, type, sK62: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_132, type, sK63: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_133, type, sK64: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_134, type, sK65: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_135, type, sK66: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_136, type, sK67: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_137, type, sK68: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_138, type, sK69: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_139, type, sK70: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_140, type, sK71: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_141, type, sK72: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_142, type, sK73: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_143, type, sK74: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_144, type, sK75: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_145, type, sK76: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_146, type, sK77: !>[X0: $tType]:((list @ X0 > X0))).
% 1.07/0.56 thf(func_def_147, type, sK78: !>[X0: $tType]:((list @ X0 > X0))).
% 1.07/0.56 thf(func_def_148, type, sK79: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_149, type, sK80: !>[X0: $tType]:((list @ X0 > X0))).
% 1.07/0.56 thf(func_def_150, type, sK81: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_151, type, sK82: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_152, type, sK83: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_153, type, sK84: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_154, type, sK85: !>[X0: $tType]:((list @ X0 > X0))).
% 1.07/0.56 thf(func_def_155, type, sK86: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_156, type, sK87: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_157, type, sK88: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_158, type, sK89: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_159, type, sK90: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_160, type, sK91: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_161, type, sK92: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_162, type, sK93: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_163, type, sK94: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_164, type, sK95: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_165, type, sK96: !>[X0: $tType]:((list @ X0 > X0))).
% 1.07/0.56 thf(func_def_166, type, sK97: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_167, type, sK98: !>[X0: $tType]:((set @ X0 > stream170649215stream @ X0 > X0))).
% 1.07/0.56 thf(func_def_168, type, sK99: !>[X0: $tType]:((set @ X0 > stream170649215stream @ X0 > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_169, type, sK100: !>[X0: $tType]:((set @ X0 > stream170649215stream @ X0 > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_170, type, sK101: !>[X0: $tType]:((set @ X0 > stream170649215stream @ X0 > X0))).
% 1.07/0.56 thf(func_def_171, type, sK102: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_172, type, sK103: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_173, type, sK104: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_174, type, sK105: !>[X0: $tType]:(((stream170649215stream @ X0 > $o) > set @ X0 > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_175, type, sK106: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_176, type, sK107: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_177, type, sK108: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_178, type, sK109: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_179, type, sK110: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_180, type, sK111: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_181, type, sK112: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_182, type, sK113: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_183, type, sK114: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_184, type, sK115: !>[X0: $tType]:(((stream170649215stream @ X0 > stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_185, type, sK116: !>[X0: $tType]:(((stream170649215stream @ X0 > stream170649215stream @ X0 > $o) > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_186, type, sK117: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_187, type, sK118: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_188, type, sK119: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_189, type, sK120: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_190, type, sK121: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_191, type, sK122: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_192, type, sK123: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_193, type, sK124: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.07/0.56 thf(func_def_194, type, sK125: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_195, type, sK126: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_196, type, sK127: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_197, type, sK128: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_198, type, sK129: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_199, type, sK130: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_200, type, sK131: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_201, type, sK132: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_202, type, sK133: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_203, type, sK134: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_204, type, sK135: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_205, type, sK136: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_206, type, sK137: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_207, type, sK138: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.07/0.56 thf(func_def_208, type, sK139: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_209, type, sK140: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.07/0.56 thf(func_def_210, type, sK141: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 1.07/0.56 thf(func_def_211, type, sK142: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_212, type, sK143: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_213, type, sK144: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_214, type, sK145: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_215, type, sK146: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_216, type, sK147: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_217, type, sK148: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_218, type, sK149: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_219, type, sK150: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_220, type, sK151: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_221, type, sK152: !>[X0: $tType]:((stream170649215stream @ X0 > stream170649215stream @ X0))).
% 1.07/0.56 thf(func_def_222, type, sK153: !>[X0: $tType]:((stream170649215stream @ X0 > X0))).
% 1.07/0.56 thf(func_def_223, type, sK154: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (list @ X0 > list @ X1 > $o) > X0))).
% 1.07/0.56 thf(func_def_224, type, sK155: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (list @ X0 > list @ X1 > $o) > X1))).
% 1.07/0.56 thf(func_def_225, type, sK156: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (list @ X0 > list @ X1 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_226, type, sK157: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.07/0.56 thf(func_def_227, type, sK158: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_228, type, sK159: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_229, type, sK160: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.07/0.56 thf(func_def_230, type, sK161: !>[X0: $tType, X1: $tType]:((list @ X0 > (X1 > X0) > X0 > list @ X1 > X1))).
% 1.07/0.56 thf(func_def_231, type, sK162: !>[X0: $tType, X1: $tType]:((list @ X0 > (X1 > X0) > X0 > list @ X1 > list @ X1))).
% 1.07/0.56 thf(func_def_232, type, sK163: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > list @ X0 > list @ X1 > X0))).
% 1.07/0.56 thf(func_def_233, type, sK164: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > list @ X0 > list @ X1 > list @ X0))).
% 1.07/0.56 thf(func_def_234, type, sK165: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0 > list @ X0))).
% 1.07/0.56 thf(func_def_235, type, sK166: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_236, type, sK167: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_237, type, sK168: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_238, type, sK169: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X1 > X0) > X1))).
% 1.07/0.56 thf(func_def_239, type, sK170: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 1.07/0.56 thf(func_def_240, type, sK171: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_241, type, sK172: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 1.07/0.56 thf(func_def_242, type, sK173: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 1.07/0.56 thf(func_def_243, type, sK174: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 1.07/0.56 thf(func_def_244, type, sK175: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.07/0.56 thf(func_def_245, type, sK176: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 1.07/0.56 thf(func_def_246, type, sK177: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.07/0.56 thf(func_def_247, type, sK178: !>[X0: $tType]:((list @ X0 > X0))).
% 1.07/0.56 thf(func_def_248, type, sK179: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_249, type, sK180: !>[X0: $tType]:((list @ X0 > X0))).
% 1.07/0.56 thf(func_def_250, type, sK181: !>[X0: $tType]:((list @ X0 > X0))).
% 1.07/0.56 thf(func_def_251, type, sK182: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.07/0.56 thf(func_def_253, type, inv_stream1035003186_shift_184: !>[X0: $tType]:((list @ X0 > stream170649215stream @ X0 > stream170649215stream @ X0))).
% 1.07/0.56 thf(f6,axiom,(
% 1.07/0.56 ! [X0 : $tType,X2 : stream170649215stream @ list @ X0,X1 : list @ X0] : ((X1 != nil @ X0) => (((stream942386729e_flat @ X0 @ (stream641971652_SCons @ list @ X0 @ X1 @ X2))) = ((stream1035003186_shift @ X0 @ X1 @ (stream942386729e_flat @ X0 @ X2)))))),
% 1.07/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_flat__Stream)).
% 1.07/0.56 thf(f35,axiom,(
% 1.07/0.56 ! [X0 : $tType,X1 : stream170649215stream @ X0] : (X1 = ((stream641971652_SCons @ X0 @ (stream_Mirabelle_shd @ X0 @ X1) @ (stream_Mirabelle_stl @ X0 @ X1))))),
% 1.07/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_stream_Oexhaust__sel)).
% 1.07/0.56 thf(f266,axiom,(
% 1.07/0.56 (((stream_Mirabelle_shd @ list @ a @ ws)) != nil @ a)),
% 1.07/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.07/0.56 thf(f267,conjecture,(
% 1.07/0.56 (((stream942386729e_flat @ a @ ws)) = ((stream1035003186_shift @ a @ (stream_Mirabelle_shd @ list @ a @ ws) @ (stream942386729e_flat @ a @ (stream_Mirabelle_stl @ list @ a @ ws)))))),
% 1.07/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 1.07/0.56 thf(f268,negated_conjecture,(
% 1.07/0.56 ~ (((stream942386729e_flat @ a @ ws)) = ((stream1035003186_shift @ a @ (stream_Mirabelle_shd @ list @ a @ ws) @ (stream942386729e_flat @ a @ (stream_Mirabelle_stl @ list @ a @ ws)))))),
% 1.07/0.56 inference(negated_conjecture,[status(cth)],[f267])).
% 1.07/0.56 thf(f632,plain,(
% 1.07/0.56 (((stream942386729e_flat @ a @ ws)) != ((stream1035003186_shift @ a @ (stream_Mirabelle_shd @ list @ a @ ws) @ (stream942386729e_flat @ a @ (stream_Mirabelle_stl @ list @ a @ ws)))))),
% 1.07/0.56 inference(flattening,[],[f268])).
% 1.07/0.56 thf(f767,plain,(
% 1.07/0.56 ! [X0 : $tType,X2 : stream170649215stream @ list @ X0,X1 : list @ X0] : ((nil @ X0 = X1) | (((stream942386729e_flat @ X0 @ (stream641971652_SCons @ list @ X0 @ X1 @ X2))) = ((stream1035003186_shift @ X0 @ X1 @ (stream942386729e_flat @ X0 @ X2)))))),
% 1.07/0.56 inference(ennf_transformation,[],[f6])).
% 1.07/0.56 thf(f1027,plain,(
% 1.07/0.56 ! [X0 : $tType,X1 : stream170649215stream @ list @ X0,X2 : list @ X0] : ((nil @ X0 = X2) | (((stream1035003186_shift @ X0 @ X2 @ (stream942386729e_flat @ X0 @ X1))) = ((stream942386729e_flat @ X0 @ (stream641971652_SCons @ list @ X0 @ X2 @ X1)))))),
% 1.07/0.56 inference(rectify,[],[f767])).
% 1.07/0.56 thf(f1210,plain,(
% 1.07/0.56 (((stream_Mirabelle_shd @ list @ a @ ws)) != nil @ a)),
% 1.07/0.56 inference(cnf_transformation,[],[f266])).
% 1.07/0.56 thf(f1434,plain,(
% 1.07/0.56 (((stream942386729e_flat @ a @ ws)) != ((stream1035003186_shift @ a @ (stream_Mirabelle_shd @ list @ a @ ws) @ (stream942386729e_flat @ a @ (stream_Mirabelle_stl @ list @ a @ ws)))))),
% 1.07/0.56 inference(cnf_transformation,[],[f632])).
% 1.07/0.56 thf(f1489,plain,(
% 1.07/0.56 ( ! [X0 : $tType,X2 : list @ X0,X1 : stream170649215stream @ list @ X0] : ((((stream1035003186_shift @ X0 @ X2 @ (stream942386729e_flat @ X0 @ X1))) = ((stream942386729e_flat @ X0 @ (stream641971652_SCons @ list @ X0 @ X2 @ X1)))) | (nil @ X0 = X2)) )),
% 1.07/0.56 inference(cnf_transformation,[],[f1027])).
% 1.07/0.56 thf(f1490,plain,(
% 1.07/0.56 ( ! [X0 : $tType,X1 : stream170649215stream @ X0] : ((((stream641971652_SCons @ X0 @ (stream_Mirabelle_shd @ X0 @ X1) @ (stream_Mirabelle_stl @ X0 @ X1))) = X1)) )),
% 1.07/0.56 inference(cnf_transformation,[],[f35])).
% 1.07/0.56 thf(f1735,definition,(
% 1.07/0.56 spl183_3 <=> (((stream942386729e_flat @ a @ ws)) = ((stream1035003186_shift @ a @ (stream_Mirabelle_shd @ list @ a @ ws) @ (stream942386729e_flat @ a @ (stream_Mirabelle_stl @ list @ a @ ws)))))),
% 1.07/0.56 introduced(definition,[new_symbols(definition,[spl183_3])],[avatar_definition])).
% 1.07/0.56 thf(f1737,plain,(
% 1.07/0.56 (((stream942386729e_flat @ a @ ws)) != ((stream1035003186_shift @ a @ (stream_Mirabelle_shd @ list @ a @ ws) @ (stream942386729e_flat @ a @ (stream_Mirabelle_stl @ list @ a @ ws))))) | spl183_3),
% 1.07/0.56 inference(avatar_component_clause,[],[f1735])).
% 1.07/0.56 thf(f1738,plain,(
% 1.07/0.56 ~spl183_3),
% 1.07/0.56 inference(avatar_split_clause,[],[f1434,f1735])).
% 1.07/0.56 thf(f1745,definition,(
% 1.07/0.56 spl183_5 <=> (((stream_Mirabelle_shd @ list @ a @ ws)) = nil @ a)),
% 1.07/0.56 introduced(definition,[new_symbols(definition,[spl183_5])],[avatar_definition])).
% 1.07/0.56 thf(f1747,plain,(
% 1.07/0.56 (((stream_Mirabelle_shd @ list @ a @ ws)) != nil @ a) | spl183_5),
% 1.07/0.56 inference(avatar_component_clause,[],[f1745])).
% 1.07/0.56 thf(f1748,plain,(
% 1.07/0.56 ~spl183_5),
% 1.07/0.56 inference(avatar_split_clause,[],[f1210,f1745])).
% 1.07/0.56 thf(f1812,plain,(
% 1.07/0.56 ( ! [X1 : $tType,X0 : stream170649215stream @ list @ X1] : ((((stream942386729e_flat @ X1 @ X0)) = ((stream1035003186_shift @ X1 @ (stream_Mirabelle_shd @ list @ X1 @ X0) @ (stream942386729e_flat @ X1 @ (stream_Mirabelle_stl @ list @ X1 @ X0))))) | (nil @ X1 = ((stream_Mirabelle_shd @ list @ X1 @ X0)))) )),
% 1.07/0.56 inference(superposition,[],[f1489,f1490])).
% 1.07/0.56 thf(f2490,plain,(
% 1.07/0.56 (((stream_Mirabelle_shd @ list @ a @ ws)) = nil @ a) | (((stream942386729e_flat @ a @ ws)) != ((stream942386729e_flat @ a @ ws))) | spl183_3),
% 1.07/0.56 inference(superposition,[],[f1737,f1812])).
% 1.07/0.56 thf(f2495,plain,(
% 1.07/0.56 (((stream_Mirabelle_shd @ list @ a @ ws)) = nil @ a) | spl183_3),
% 1.07/0.56 inference(trivial_inequality_removal,[],[f2490])).
% 1.07/0.56 thf(f2506,plain,(
% 1.07/0.56 $false | (spl183_3 | spl183_5)),
% 1.07/0.56 inference(forward_subsumption_resolution,[],[f2495,f1747])).
% 1.07/0.56 thf(f2507,plain,(
% 1.07/0.56 spl183_3 | spl183_5),
% 1.07/0.56 inference(avatar_contradiction_clause,[],[f2506])).
% 1.07/0.56 cnf(s3, plain, ~spl183_3, inference(sat_conversion,[],[f1738])).
% 1.07/0.56 cnf(s5, plain, ~spl183_5, inference(sat_conversion,[],[f1748])).
% 1.07/0.56 cnf(s6, plain, spl183_3 | spl183_5, inference(sat_conversion,[],[f2507])).
% 1.07/0.56 cnf(s7, plain, spl183_3, inference(rat,[],[s6,s5])).
% 1.07/0.56 cnf(s8, plain, $false, inference(rat,[],[s3,s7])).
% 1.07/0.56 thf(f2515,plain,(
% 1.07/0.56 $false),
% 1.07/0.56 inference(avatar_sat_refutation,[],[s8])).
% 1.07/0.56 % SZS output end Proof for theBenchmark
% 1.07/0.56 % (3532252)------------------------------
% 1.07/0.56 % (3532252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (3532252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (3532252)CaDiCaL version: 2.1.3
% 1.07/0.56 % (3532252)Termination reason: Refutation
% 1.07/0.56 % (3532252)Time elapsed: 0.199 s
% 1.07/0.56 % (3532252)Peak memory usage: 16 MB
% 1.07/0.56 % (3532252)Instructions burned: 368 (million)
% 1.07/0.56 % (3532244)Success in time 0.257 s
% 1.07/0.56 % Vampire exiting
%------------------------------------------------------------------------------