%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT194^1 : 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 : n007.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 07:48:31 AM UTC 2026
% Result : Theorem 0.70s 0.44s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT194^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n007.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 18:05:11 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.09/0.25 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
% 0.70/0.38 % (3738410)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.70/0.38 % (3738421)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.70/0.38 % (3738421)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
% 0.70/0.38 % (3738416)lrs+10_16_si=on:nwc=1.5:random_seed=839161581:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.70/0.38 % (3738415)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=147101114:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.70/0.38 % (3738417)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2917263667:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.70/0.38 % (3738419)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3297902137:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.70/0.38 % (3738418)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=713425246: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)
% 0.70/0.38 % (3738420)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3631219242:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.70/0.38 % (3738421)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=856875897:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.70/0.38 % (3738417)Instruction limit reached!
% 0.70/0.38 % (3738417)------------------------------
% 0.70/0.38 % (3738417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.38 % (3738417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.38 % (3738417)CaDiCaL version: 2.1.3
% 0.70/0.38 % (3738417)Termination reason: Instruction limit
% 0.70/0.38 % (3738417)Termination phase: shuffling
% 0.70/0.38 % (3738417)Time elapsed: 0.002 s
% 0.70/0.38 % (3738417)Peak memory usage: 10 MB
% 0.70/0.38 % (3738417)Instructions burned: 3 (million)
% 0.70/0.38 % (3738416)Instruction limit reached!
% 0.70/0.38 % (3738416)------------------------------
% 0.70/0.38 % (3738416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.38 % (3738416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.38 % (3738416)CaDiCaL version: 2.1.3
% 0.70/0.38 % (3738416)Termination reason: Instruction limit
% 0.70/0.38 % (3738416)Termination phase: Property scanning
% 0.70/0.38 % (3738416)Time elapsed: 0.009 s
% 0.70/0.38 % (3738416)Peak memory usage: 10 MB
% 0.70/0.38 % (3738416)Instructions burned: 19 (million)
% 0.70/0.38 % (3738419)Instruction limit reached!
% 0.70/0.38 % (3738419)------------------------------
% 0.70/0.38 % (3738419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.38 % (3738419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.38 % (3738419)CaDiCaL version: 2.1.3
% 0.70/0.38 % (3738419)Termination reason: Instruction limit
% 0.70/0.38 % (3738419)Termination phase: Property scanning
% 0.70/0.38 % (3738419)Time elapsed: 0.011 s
% 0.70/0.38 % (3738419)Peak memory usage: 10 MB
% 0.70/0.38 % (3738419)Instructions burned: 24 (million)
% 0.70/0.38 % (3738429)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=225020138:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.70/0.38 % (3738429)Instruction limit reached!
% 0.70/0.38 % (3738429)------------------------------
% 0.70/0.38 % (3738429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.38 % (3738429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.38 % (3738429)CaDiCaL version: 2.1.3
% 0.70/0.38 % (3738429)Termination reason: Instruction limit
% 0.70/0.38 % (3738429)Termination phase: shuffling
% 0.70/0.38 % (3738429)Time elapsed: 0.002 s
% 0.70/0.38 % (3738429)Peak memory usage: 10 MB
% 0.70/0.38 % (3738429)Instructions burned: 3 (million)
% 0.70/0.38 % (3738431)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.70/0.42 % (3738430)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3078851244:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.70/0.42 % (3738431)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2104696881:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.70/0.42 % (3738430)Instruction limit reached!
% 0.70/0.42 % (3738430)------------------------------
% 0.70/0.42 % (3738430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (3738430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (3738430)CaDiCaL version: 2.1.3
% 0.70/0.42 % (3738430)Termination reason: Instruction limit
% 0.70/0.42 % (3738430)Termination phase: shuffling
% 0.70/0.42 % (3738430)Time elapsed: 0.003 s
% 0.70/0.42 % (3738430)Peak memory usage: 10 MB
% 0.70/0.42 % (3738430)Instructions burned: 5 (million)
% 0.70/0.42 % (3738431)Instruction limit reached!
% 0.70/0.42 % (3738431)------------------------------
% 0.70/0.42 % (3738431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (3738431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (3738431)CaDiCaL version: 2.1.3
% 0.70/0.42 % (3738431)Termination reason: Instruction limit
% 0.70/0.42 % (3738431)Termination phase: shuffling
% 0.70/0.42 % (3738431)Time elapsed: 0.007 s
% 0.70/0.42 % (3738431)Peak memory usage: 10 MB
% 0.70/0.42 % (3738431)Instructions burned: 15 (million)
% 0.70/0.42 % (3738420)Instruction limit reached!
% 0.70/0.42 % (3738420)------------------------------
% 0.70/0.42 % (3738420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (3738420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (3738420)CaDiCaL version: 2.1.3
% 0.70/0.42 % (3738420)Termination reason: Instruction limit
% 0.70/0.42 % (3738420)Termination phase: Property scanning
% 0.70/0.42 % (3738420)Time elapsed: 0.038 s
% 0.70/0.42 % (3738420)Peak memory usage: 12 MB
% 0.70/0.42 % (3738420)Instructions burned: 81 (million)
% 0.70/0.42 % (3738433)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1600143675:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.70/0.42 % (3738415)Instruction limit reached!
% 0.70/0.42 % (3738415)------------------------------
% 0.70/0.42 % (3738415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (3738415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (3738415)CaDiCaL version: 2.1.3
% 0.70/0.42 % (3738415)Termination reason: Instruction limit
% 0.70/0.42 % (3738415)Termination phase: Property scanning
% 0.70/0.42 % (3738415)Time elapsed: 0.040 s
% 0.70/0.42 % (3738415)Peak memory usage: 12 MB
% 0.70/0.42 % (3738415)Instructions burned: 88 (million)
% 0.70/0.42 % (3738433)Instruction limit reached!
% 0.70/0.42 % (3738433)------------------------------
% 0.70/0.42 % (3738433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (3738433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (3738433)CaDiCaL version: 2.1.3
% 0.70/0.42 % (3738433)Termination reason: Instruction limit
% 0.70/0.42 % (3738433)Termination phase: shuffling
% 0.70/0.42 % (3738433)Time elapsed: 0.004 s
% 0.70/0.42 % (3738433)Peak memory usage: 10 MB
% 0.70/0.42 % (3738433)Instructions burned: 16 (million)
% 0.70/0.42 % (3738436)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
% 0.70/0.42 % (3738436)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.70/0.42 % (3738436)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2177605968:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.70/0.42 % (3738437)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=214383675:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.70/0.42 % (3738438)lrs+10_1_si=on:cs=on:random_seed=1780966404:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.70/0.42 % (3738440)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.70/0.44 % (3738440)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=2048712969:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.70/0.44 % (3738438)Instruction limit reached!
% 0.70/0.44 % (3738438)------------------------------
% 0.70/0.44 % (3738438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738438)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738438)Termination reason: Instruction limit
% 0.70/0.44 % (3738438)Termination phase: shuffling
% 0.70/0.44 % (3738438)Time elapsed: 0.004 s
% 0.70/0.44 % (3738438)Peak memory usage: 10 MB
% 0.70/0.44 % (3738438)Instructions burned: 8 (million)
% 0.70/0.44 % (3738441)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2117298557:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.70/0.44 % (3738440)Instruction limit reached!
% 0.70/0.44 % (3738440)------------------------------
% 0.70/0.44 % (3738440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738440)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738440)Termination reason: Instruction limit
% 0.70/0.44 % (3738440)Termination phase: shuffling
% 0.70/0.44 % (3738440)Time elapsed: 0.002 s
% 0.70/0.44 % (3738440)Peak memory usage: 10 MB
% 0.70/0.44 % (3738440)Instructions burned: 3 (million)
% 0.70/0.44 % (3738436)Instruction limit reached!
% 0.70/0.44 % (3738436)------------------------------
% 0.70/0.44 % (3738436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738436)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738436)Termination reason: Instruction limit
% 0.70/0.44 % (3738436)Termination phase: shuffling
% 0.70/0.44 % (3738436)Time elapsed: 0.014 s
% 0.70/0.44 % (3738436)Peak memory usage: 10 MB
% 0.70/0.44 % (3738436)Instructions burned: 29 (million)
% 0.70/0.44 % (3738437)Instruction limit reached!
% 0.70/0.44 % (3738437)------------------------------
% 0.70/0.44 % (3738437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738437)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738437)Termination reason: Instruction limit
% 0.70/0.44 % (3738437)Termination phase: Property scanning
% 0.70/0.44 % (3738437)Time elapsed: 0.020 s
% 0.70/0.44 % (3738437)Peak memory usage: 11 MB
% 0.70/0.44 % (3738437)Instructions burned: 88 (million)
% 0.70/0.44 % (3738421)Instruction limit reached!
% 0.70/0.44 % (3738421)------------------------------
% 0.70/0.44 % (3738421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738421)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738421)Termination reason: Instruction limit
% 0.70/0.44 % (3738421)Termination phase: Saturation
% 0.70/0.44 % (3738421)Time elapsed: 0.078 s
% 0.70/0.44 % (3738421)Peak memory usage: 14 MB
% 0.70/0.44 % (3738421)Instructions burned: 157 (million)
% 0.70/0.44 % (3738446)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=906873914:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.70/0.44 % (3738441)Instruction limit reached!
% 0.70/0.44 % (3738441)------------------------------
% 0.70/0.44 % (3738441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738441)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738441)Termination reason: Instruction limit
% 0.70/0.44 % (3738441)Termination phase: Property scanning
% 0.70/0.44 % (3738441)Time elapsed: 0.019 s
% 0.70/0.44 % (3738441)Peak memory usage: 11 MB
% 0.70/0.44 % (3738441)Instructions burned: 39 (million)
% 0.70/0.44 % (3738449)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2126204189:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.70/0.44 % (3738448)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=716778644:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.70/0.44 % (3738450)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=188352345:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.70/0.44 % (3738449)Instruction limit reached!
% 0.70/0.44 % (3738449)------------------------------
% 0.70/0.44 % (3738449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738449)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738449)Termination reason: Instruction limit
% 0.70/0.44 % (3738449)Termination phase: shuffling
% 0.70/0.44 % (3738449)Time elapsed: 0.007 s
% 0.70/0.44 % (3738449)Peak memory usage: 10 MB
% 0.70/0.44 % (3738449)Instructions burned: 15 (million)
% 0.70/0.44 % (3738448)Instruction limit reached!
% 0.70/0.44 % (3738448)------------------------------
% 0.70/0.44 % (3738448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738448)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738448)Termination reason: Instruction limit
% 0.70/0.44 % (3738448)Termination phase: Property scanning
% 0.70/0.44 % (3738448)Time elapsed: 0.012 s
% 0.70/0.44 % (3738448)Peak memory usage: 10 MB
% 0.70/0.44 % (3738448)Instructions burned: 26 (million)
% 0.70/0.44 % (3738451)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1758235912:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.70/0.44 % (3738454)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2852742686: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)
% 0.70/0.44 % (3738454)Instruction limit reached!
% 0.70/0.44 % (3738454)------------------------------
% 0.70/0.44 % (3738454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738454)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738454)Termination reason: Instruction limit
% 0.70/0.44 % (3738454)Termination phase: shuffling
% 0.70/0.44 % (3738454)Time elapsed: 0.002 s
% 0.70/0.44 % (3738454)Peak memory usage: 10 MB
% 0.70/0.44 % (3738454)Instructions burned: 3 (million)
% 0.70/0.44 % (3738451)Instruction limit reached!
% 0.70/0.44 % (3738451)------------------------------
% 0.70/0.44 % (3738451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738451)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738451)Termination reason: Instruction limit
% 0.70/0.44 % (3738451)Termination phase: shuffling
% 0.70/0.44 % (3738451)Time elapsed: 0.007 s
% 0.70/0.44 % (3738451)Peak memory usage: 10 MB
% 0.70/0.44 % (3738451)Instructions burned: 15 (million)
% 0.70/0.44 % (3738446)Refutation not found, incomplete strategy
% 0.70/0.44 % (3738446)------------------------------
% 0.70/0.44 % (3738446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738446)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738446)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.44 % (3738446)Time elapsed: 0.027 s
% 0.70/0.44 % (3738446)Peak memory usage: 13 MB
% 0.70/0.44 % (3738446)Instructions burned: 50 (million)
% 0.70/0.44 % (3738457)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1586456293:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.70/0.44 % (3738446)------------------------------
% 0.70/0.44 % (3738446)------------------------------
% 0.70/0.44 % (3738458)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=202674556:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.70/0.44 % (3738462)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
% 0.70/0.44 % (3738462)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.70/0.44 % (3738461)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2813528294:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.70/0.44 % (3738457)Instruction limit reached!
% 0.70/0.44 % (3738457)------------------------------
% 0.70/0.44 % (3738457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738457)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738457)Termination reason: Instruction limit
% 0.70/0.44 % (3738457)Termination phase: shuffling
% 0.70/0.44 % (3738457)Time elapsed: 0.013 s
% 0.70/0.44 % (3738457)Peak memory usage: 10 MB
% 0.70/0.44 % (3738457)Instructions burned: 28 (million)
% 0.70/0.44 % (3738462)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=3222953222:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.70/0.44 % (3738464)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.70/0.44 % (3738458)Instruction limit reached!
% 0.70/0.44 % (3738458)------------------------------
% 0.70/0.44 % (3738458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738458)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738458)Termination reason: Instruction limit
% 0.70/0.44 % (3738458)Termination phase: Property scanning
% 0.70/0.44 % (3738458)Time elapsed: 0.011 s
% 0.70/0.44 % (3738458)Peak memory usage: 10 MB
% 0.70/0.44 % (3738458)Instructions burned: 23 (million)
% 0.70/0.44 % (3738464)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=4093601382:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.70/0.44 % (3738462)Instruction limit reached!
% 0.70/0.44 % (3738462)------------------------------
% 0.70/0.44 % (3738462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738462)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738462)Termination reason: Instruction limit
% 0.70/0.44 % (3738462)Termination phase: shuffling
% 0.70/0.44 % (3738462)Time elapsed: 0.007 s
% 0.70/0.44 % (3738462)Peak memory usage: 10 MB
% 0.70/0.44 % (3738462)Instructions burned: 16 (million)
% 0.70/0.44 % (3738464)Instruction limit reached!
% 0.70/0.44 % (3738464)------------------------------
% 0.70/0.44 % (3738464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738464)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738450) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3738410-3738450"...
% 0.70/0.44 % (3738464)Termination reason: Instruction limit
% 0.70/0.44 % (3738464)Termination phase: shuffling
% 0.70/0.44 % (3738464)Time elapsed: 0.007 s
% 0.70/0.44 % (3738464)Peak memory usage: 10 MB
% 0.70/0.44 % (3738464)Instructions burned: 14 (million)
% 0.70/0.44 % (3738450)...printing done.
% 0.70/0.44 % (3738450)Refutation found. Thanks to Tanya!
% 0.70/0.44 % SZS status Theorem for theBenchmark
% 0.70/0.44 % SZS output start Proof for theBenchmark
% 0.70/0.44 thf(type_def_5, type, coinductive_llist: $tType > $tType).
% 0.70/0.44 thf(type_def_6, type, set: $tType > $tType).
% 0.70/0.44 thf(type_def_7, type, itself: $tType > $tType).
% 0.70/0.44 thf(type_def_8, type, a: $tType).
% 0.70/0.44 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.70/0.44 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.44 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.44 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.44 thf(func_def_3, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.44 thf(func_def_4, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.70/0.44 thf(func_def_5, type, coindu328551480prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 0.70/0.44 thf(func_def_6, type, coinductive_gen_lset: !>[X0: $tType]:((set @ X0 > coinductive_llist @ X0 > set @ X0))).
% 0.70/0.44 thf(func_def_7, type, coinductive_lappend: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_8, type, coinductive_lfilter: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_9, type, coinductive_lfinite: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 0.70/0.44 thf(func_def_10, type, coinductive_llast: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_11, type, coinductive_LCons: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_12, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 0.70/0.44 thf(func_def_13, type, coindu1259883913_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > coinductive_llist @ X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 0.70/0.44 thf(func_def_14, type, coinductive_lhd: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_15, type, coinductive_lnull: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 0.70/0.44 thf(func_def_16, type, coinductive_lset: !>[X0: $tType]:((coinductive_llist @ X0 > set @ X0))).
% 0.70/0.44 thf(func_def_17, type, coinductive_lmember: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > $o))).
% 0.70/0.44 thf(func_def_18, type, coinductive_lprefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 0.70/0.44 thf(func_def_19, type, coindu1478340336prefix: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > $o))).
% 0.70/0.44 thf(func_def_20, type, coindu63249387sorted: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 0.70/0.44 thf(func_def_21, type, coindu1441602521_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 0.70/0.44 thf(func_def_22, type, undefined: !>[X0: $tType]:(X0)).
% 0.70/0.44 thf(func_def_23, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.70/0.44 thf(func_def_24, type, lMirro427583474mirror: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_25, type, lMirro999291890or_aux: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_26, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.70/0.44 thf(func_def_27, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.70/0.44 thf(func_def_28, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.70/0.44 thf(func_def_29, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.70/0.44 thf(func_def_30, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.70/0.44 thf(func_def_31, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.70/0.44 thf(func_def_32, type, x: a).
% 0.70/0.44 thf(func_def_33, type, xs: coinductive_llist @ a).
% 0.70/0.44 thf(func_def_37, type, vOR: ($o > $o > $o)).
% 0.70/0.44 thf(func_def_38, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.70/0.44 thf(func_def_39, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.70/0.44 thf(func_def_40, type, db2: !>[X0: $tType]:(X0)).
% 0.70/0.44 thf(func_def_41, type, db0: !>[X0: $tType]:(X0)).
% 0.70/0.44 thf(func_def_42, type, db1: !>[X0: $tType]:(X0)).
% 0.70/0.44 thf(func_def_43, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.70/0.44 thf(func_def_44, type, vAND: ($o > $o > $o)).
% 0.70/0.44 thf(func_def_45, type, vIMP: ($o > $o > $o)).
% 0.70/0.44 thf(func_def_46, type, vNOT: ($o > $o)).
% 0.70/0.44 thf(func_def_47, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.70/0.44 thf(func_def_48, type, db3: !>[X0: $tType]:(X0)).
% 0.70/0.44 thf(func_def_49, type, db4: !>[X0: $tType]:(X0)).
% 0.70/0.44 thf(func_def_50, type, db5: !>[X0: $tType]:(X0)).
% 0.70/0.44 thf(func_def_51, type, sK0: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_52, type, sK1: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 0.70/0.44 thf(func_def_53, type, sK2: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_54, type, sK3: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_55, type, sK4: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_56, type, sK5: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.70/0.44 thf(func_def_57, type, sK6: !>[X0: $tType]:((X0 > (coinductive_llist @ X0 > $o) > X0))).
% 0.70/0.44 thf(func_def_58, type, sK7: !>[X0: $tType]:((X0 > (coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_59, type, sK8: !>[X0: $tType]:((X0 > (coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_60, type, sK9: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0))).
% 0.70/0.44 thf(func_def_61, type, sK10: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_62, type, sK11: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.70/0.44 thf(func_def_63, type, sK12: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_64, type, sK13: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_65, type, sK14: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_66, type, sK15: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_67, type, sK16: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_68, type, sK17: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_69, type, sK18: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_70, type, sK19: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_71, type, sK20: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_72, type, sK21: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.70/0.44 thf(func_def_73, type, sK22: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_74, type, sK23: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_75, type, sK24: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_76, type, sK25: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > X0))).
% 0.70/0.44 thf(func_def_77, type, sK26: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_78, type, sK27: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_79, type, sK28: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > (X0 > $o) > X0))).
% 0.70/0.44 thf(func_def_80, type, sK29: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_81, type, sK30: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_82, type, sK31: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_83, type, sK32: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_84, type, sK33: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_85, type, sK34: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_86, type, sK35: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_87, type, sK36: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0 > (X0 > $o) > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_88, type, sK37: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 0.70/0.44 thf(func_def_89, type, sK38: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_90, type, sK39: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 0.70/0.44 thf(func_def_91, type, sK40: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_92, type, sK41: !>[X0: $tType]:(((X0 > coinductive_llist @ X0 > $o) > X0))).
% 0.70/0.44 thf(func_def_93, type, sK42: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_94, type, sK43: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.70/0.44 thf(func_def_95, type, sK44: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.70/0.44 thf(func_def_96, type, sK45: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.70/0.44 thf(func_def_97, type, sK46: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.70/0.44 thf(func_def_98, type, sK47: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_99, type, sK48: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_100, type, sK49: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_101, type, sK50: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.70/0.44 thf(func_def_102, type, sK51: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.70/0.44 thf(func_def_103, type, sK52: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.70/0.44 thf(func_def_104, type, sK53: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.70/0.44 thf(func_def_105, type, sK54: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_106, type, sK55: !>[X0: $tType]:(((coinductive_llist @ X0 > coinductive_llist @ X0 > $o) > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_107, type, sK56: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_108, type, sK57: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_109, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.70/0.44 thf(func_def_110, type, sK59: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.70/0.44 thf(func_def_111, type, sK60: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_112, type, sK61: !>[X0: $tType]:((set @ X0 > X0 > set @ X0 > X0 > set @ X0))).
% 0.70/0.44 thf(func_def_113, type, sK62: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_114, type, sK63: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_115, type, sK64: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_116, type, sK65: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_117, type, sK66: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_118, type, sK67: !>[X0: $tType]:((coinductive_llist @ X0 > X0 > X0))).
% 0.70/0.44 thf(func_def_119, type, sK68: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_120, type, sK69: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 0.70/0.44 thf(func_def_121, type, sK70: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_122, type, sK71: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > X0))).
% 0.70/0.44 thf(func_def_123, type, sK72: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.70/0.44 thf(f13,axiom,(
% 0.70/0.44 ! [X0 : $tType,X3 : coinductive_llist @ X0,X1 : coinductive_llist @ X0,X2 : X0] : (((lMirro999291890or_aux @ X0 @ X1 @ (coinductive_LCons @ X0 @ X2 @ X3))) = ((coinductive_LCons @ X0 @ X2 @ (coinductive_lappend @ X0 @ (lMirro999291890or_aux @ X0 @ coinductive_LNil @ X0 @ X3) @ (coinductive_LCons @ X0 @ X2 @ X1)))))),
% 0.70/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_lmirror__aux__LCons)).
% 0.70/0.44 thf(f18,axiom,(
% 0.70/0.44 ! [X0 : $tType] : (lMirro427583474mirror @ X0 = ((lMirro999291890or_aux @ X0 @ coinductive_LNil @ X0)))),
% 0.70/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_lmirror__def)).
% 0.70/0.44 thf(f268,conjecture,(
% 0.70/0.44 (((lMirro427583474mirror @ a @ (coinductive_LCons @ a @ x @ xs))) = ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro427583474mirror @ a @ xs) @ (coinductive_LCons @ a @ x @ coinductive_LNil @ a)))))),
% 0.70/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.70/0.44 thf(f269,negated_conjecture,(
% 0.70/0.44 ~ (((lMirro427583474mirror @ a @ (coinductive_LCons @ a @ x @ xs))) = ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro427583474mirror @ a @ xs) @ (coinductive_LCons @ a @ x @ coinductive_LNil @ a)))))),
% 0.70/0.44 inference(negated_conjecture,[status(cth)],[f268])).
% 0.70/0.44 thf(f716,plain,(
% 0.70/0.44 (((lMirro427583474mirror @ a @ (coinductive_LCons @ a @ x @ xs))) != ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro427583474mirror @ a @ xs) @ (coinductive_LCons @ a @ x @ coinductive_LNil @ a)))))),
% 0.70/0.44 inference(flattening,[],[f269])).
% 0.70/0.44 thf(f755,plain,(
% 0.70/0.44 ! [X0 : $tType,X1 : coinductive_llist @ X0,X3 : X0,X2 : coinductive_llist @ X0] : (((coinductive_LCons @ X0 @ X3 @ (coinductive_lappend @ X0 @ (lMirro999291890or_aux @ X0 @ coinductive_LNil @ X0 @ X1) @ (coinductive_LCons @ X0 @ X3 @ X2)))) = ((lMirro999291890or_aux @ X0 @ X2 @ (coinductive_LCons @ X0 @ X3 @ X1))))),
% 0.70/0.44 inference(rectify,[],[f13])).
% 0.70/0.44 thf(f954,plain,(
% 0.70/0.44 ! [X0 : $tType,X1 : coinductive_llist @ X0,X2 : X0,X3 : coinductive_llist @ X0] : (((coinductive_LCons @ X0 @ X2 @ (coinductive_lappend @ X0 @ (lMirro999291890or_aux @ X0 @ coinductive_LNil @ X0 @ X1) @ (coinductive_LCons @ X0 @ X2 @ X3)))) = ((lMirro999291890or_aux @ X0 @ X3 @ (coinductive_LCons @ X0 @ X2 @ X1))))),
% 0.70/0.44 inference(rectify,[],[f755])).
% 0.70/0.44 thf(f1104,plain,(
% 0.70/0.44 ( ! [X0 : $tType,X2 : X0,X3 : coinductive_llist @ X0,X1 : coinductive_llist @ X0] : ((((coinductive_LCons @ X0 @ X2 @ (coinductive_lappend @ X0 @ (lMirro999291890or_aux @ X0 @ coinductive_LNil @ X0 @ X1) @ (coinductive_LCons @ X0 @ X2 @ X3)))) = ((lMirro999291890or_aux @ X0 @ X3 @ (coinductive_LCons @ X0 @ X2 @ X1))))) )),
% 0.70/0.44 inference(cnf_transformation,[],[f954])).
% 0.70/0.44 thf(f1113,plain,(
% 0.70/0.44 (((lMirro427583474mirror @ a @ (coinductive_LCons @ a @ x @ xs))) != ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro427583474mirror @ a @ xs) @ (coinductive_LCons @ a @ x @ coinductive_LNil @ a)))))),
% 0.70/0.44 inference(cnf_transformation,[],[f716])).
% 0.70/0.44 thf(f1217,plain,(
% 0.70/0.44 ( ! [X0 : $tType] : ((lMirro427583474mirror @ X0 = ((lMirro999291890or_aux @ X0 @ coinductive_LNil @ X0)))) )),
% 0.70/0.44 inference(cnf_transformation,[],[f18])).
% 0.70/0.44 thf(f1374,plain,(
% 0.70/0.44 (((lMirro999291890or_aux @ a @ coinductive_LNil @ a @ (coinductive_LCons @ a @ x @ xs))) != ((coinductive_LCons @ a @ x @ (coinductive_lappend @ a @ (lMirro999291890or_aux @ a @ coinductive_LNil @ a @ xs) @ (coinductive_LCons @ a @ x @ coinductive_LNil @ a)))))),
% 0.70/0.44 inference(definition_unfolding,[],[f1113,f1217,f1217])).
% 0.70/0.44 thf(f4148,plain,(
% 0.70/0.44 (((lMirro999291890or_aux @ a @ coinductive_LNil @ a @ (coinductive_LCons @ a @ x @ xs))) != ((lMirro999291890or_aux @ a @ coinductive_LNil @ a @ (coinductive_LCons @ a @ x @ xs))))),
% 0.70/0.44 inference(superposition,[],[f1374,f1104])).
% 0.70/0.44 thf(f4154,plain,(
% 0.70/0.44 $false),
% 0.70/0.44 inference(trivial_inequality_removal,[],[f4148])).
% 0.70/0.44 % SZS output end Proof for theBenchmark
% 0.70/0.44 % (3738450)------------------------------
% 0.70/0.44 % (3738450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.44 % (3738450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.44 % (3738450)CaDiCaL version: 2.1.3
% 0.70/0.44 % (3738450)Termination reason: Refutation
% 0.70/0.44 % (3738450)Time elapsed: 0.052 s
% 0.70/0.44 % (3738450)Peak memory usage: 14 MB
% 0.70/0.44 % (3738450)Instructions burned: 203 (million)
% 0.70/0.44 % (3738410)Success in time 0.179 s
% 0.70/0.44 % Vampire exiting
%------------------------------------------------------------------------------