%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT117^1 : 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 07:48:22 AM UTC 2026
% Result : Theorem 0.74s 0.43s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT117^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:55:56 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.26 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
% 0.74/0.40 % (3721245)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.74/0.40 % (3721254)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3665581541:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.74/0.40 % (3721256)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.74/0.40 % (3721256)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
% 0.74/0.40 % (3721254)Instruction limit reached!
% 0.74/0.40 % (3721254)------------------------------
% 0.74/0.40 % (3721254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (3721250)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1083143240:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.74/0.40 % (3721251)lrs+10_16_si=on:nwc=1.5:random_seed=1725839386:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.74/0.40 % (3721254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (3721254)CaDiCaL version: 2.1.3
% 0.74/0.40 % (3721254)Termination reason: Instruction limit
% 0.74/0.40 % (3721254)Termination phase: Property scanning
% 0.74/0.40 % (3721254)Time elapsed: 0.007 s
% 0.74/0.40 % (3721254)Peak memory usage: 10 MB
% 0.74/0.40 % (3721254)Instructions burned: 28 (million)
% 0.74/0.40 % (3721252)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1554669505:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.74/0.40 % (3721253)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=423738366: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)
% 0.74/0.40 % (3721256)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=344181999:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.74/0.40 % (3721252)Instruction limit reached!
% 0.74/0.40 % (3721252)------------------------------
% 0.74/0.40 % (3721252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (3721252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (3721252)CaDiCaL version: 2.1.3
% 0.74/0.40 % (3721252)Termination reason: Instruction limit
% 0.74/0.40 % (3721252)Termination phase: shuffling
% 0.74/0.40 % (3721252)Time elapsed: 0.002 s
% 0.74/0.40 % (3721252)Peak memory usage: 10 MB
% 0.74/0.40 % (3721252)Instructions burned: 3 (million)
% 0.74/0.40 % (3721251)Instruction limit reached!
% 0.74/0.40 % (3721251)------------------------------
% 0.74/0.40 % (3721251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (3721251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (3721251)CaDiCaL version: 2.1.3
% 0.74/0.40 % (3721251)Termination reason: Instruction limit
% 0.74/0.40 % (3721251)Termination phase: shuffling
% 0.74/0.40 % (3721251)Time elapsed: 0.010 s
% 0.74/0.40 % (3721251)Peak memory usage: 10 MB
% 0.74/0.40 % (3721251)Instructions burned: 19 (million)
% 0.74/0.40 % (3721262)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=833254112:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.74/0.40 % (3721255)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=933769954:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.74/0.40 % (3721262)Instruction limit reached!
% 0.74/0.40 % (3721262)------------------------------
% 0.74/0.40 % (3721262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (3721262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (3721262)CaDiCaL version: 2.1.3
% 0.74/0.40 % (3721262)Termination reason: Instruction limit
% 0.74/0.40 % (3721262)Termination phase: shuffling
% 0.74/0.40 % (3721262)Time elapsed: 0.001 s
% 0.74/0.40 % (3721262)Peak memory usage: 10 MB
% 0.74/0.40 % (3721262)Instructions burned: 3 (million)
% 0.74/0.40 % (3721264)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3249325894:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.74/0.43 % (3721268)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1027566844:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.74/0.43 % (3721264)Instruction limit reached!
% 0.74/0.43 % (3721264)------------------------------
% 0.74/0.43 % (3721264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721264)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721264)Termination reason: Instruction limit
% 0.74/0.43 % (3721264)Termination phase: shuffling
% 0.74/0.43 % (3721264)Time elapsed: 0.003 s
% 0.74/0.43 % (3721264)Peak memory usage: 10 MB
% 0.74/0.43 % (3721264)Instructions burned: 5 (million)
% 0.74/0.43 % (3721265)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.74/0.43 % (3721268)Instruction limit reached!
% 0.74/0.43 % (3721268)------------------------------
% 0.74/0.43 % (3721268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721268)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721268)Termination reason: Instruction limit
% 0.74/0.43 % (3721268)Termination phase: shuffling
% 0.74/0.43 % (3721268)Time elapsed: 0.003 s
% 0.74/0.43 % (3721268)Peak memory usage: 10 MB
% 0.74/0.43 % (3721268)Instructions burned: 12 (million)
% 0.74/0.43 % (3721265)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2693270503:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.74/0.43 % (3721265)Instruction limit reached!
% 0.74/0.43 % (3721265)------------------------------
% 0.74/0.43 % (3721265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721265)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721265)Termination reason: Instruction limit
% 0.74/0.43 % (3721265)Termination phase: shuffling
% 0.74/0.43 % (3721265)Time elapsed: 0.004 s
% 0.74/0.43 % (3721265)Peak memory usage: 10 MB
% 0.74/0.43 % (3721265)Instructions burned: 8 (million)
% 0.74/0.43 % (3721250)Instruction limit reached!
% 0.74/0.43 % (3721250)------------------------------
% 0.74/0.43 % (3721250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721250)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721250)Termination reason: Instruction limit
% 0.74/0.43 % (3721250)Termination phase: Property scanning
% 0.74/0.43 % (3721250)Time elapsed: 0.042 s
% 0.74/0.43 % (3721250)Peak memory usage: 12 MB
% 0.74/0.43 % (3721250)Instructions burned: 88 (million)
% 0.74/0.43 % (3721255)Instruction limit reached!
% 0.74/0.43 % (3721255)------------------------------
% 0.74/0.43 % (3721255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721255)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721255)Termination reason: Instruction limit
% 0.74/0.43 % (3721255)Termination phase: Property scanning
% 0.74/0.43 % (3721255)Time elapsed: 0.031 s
% 0.74/0.43 % (3721255)Peak memory usage: 11 MB
% 0.74/0.43 % (3721255)Instructions burned: 78 (million)
% 0.74/0.43 % (3721271)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
% 0.74/0.43 % (3721271)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.74/0.43 % (3721272)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=2629970566:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.74/0.43 % (3721271)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1450464003:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.74/0.43 % (3721274)lrs+10_1_si=on:cs=on:random_seed=4201351927:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.74/0.43 % (3721279)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1733918249:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.74/0.43 % (3721274)Instruction limit reached!
% 0.74/0.43 % (3721274)------------------------------
% 0.74/0.43 % (3721274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721274)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721274)Termination reason: Instruction limit
% 0.74/0.43 % (3721274)Termination phase: shuffling
% 0.74/0.43 % (3721274)Time elapsed: 0.004 s
% 0.74/0.43 % (3721274)Peak memory usage: 10 MB
% 0.74/0.43 % (3721274)Instructions burned: 8 (million)
% 0.74/0.43 % (3721278)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.74/0.43 % (3721271)Instruction limit reached!
% 0.74/0.43 % (3721271)------------------------------
% 0.74/0.43 % (3721271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721271)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721271)Termination reason: Instruction limit
% 0.74/0.43 % (3721271)Termination phase: shuffling
% 0.74/0.43 % (3721271)Time elapsed: 0.014 s
% 0.74/0.43 % (3721271)Peak memory usage: 10 MB
% 0.74/0.43 % (3721271)Instructions burned: 29 (million)
% 0.74/0.43 % (3721278)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=401236393:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.74/0.43 % (3721278)Instruction limit reached!
% 0.74/0.43 % (3721278)------------------------------
% 0.74/0.43 % (3721278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721278)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721278)Termination reason: Instruction limit
% 0.74/0.43 % (3721278)Termination phase: shuffling
% 0.74/0.43 % (3721278)Time elapsed: 0.002 s
% 0.74/0.43 % (3721278)Peak memory usage: 10 MB
% 0.74/0.43 % (3721278)Instructions burned: 3 (million)
% 0.74/0.43 % (3721279)Instruction limit reached!
% 0.74/0.43 % (3721279)------------------------------
% 0.74/0.43 % (3721279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721279)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721279)Termination reason: Instruction limit
% 0.74/0.43 % (3721279)Termination phase: Property scanning
% 0.74/0.43 % (3721279)Time elapsed: 0.011 s
% 0.74/0.43 % (3721279)Peak memory usage: 11 MB
% 0.74/0.43 % (3721279)Instructions burned: 39 (million)
% 0.74/0.43 % (3721288)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1929334270:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.74/0.43 % (3721296)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1403936282:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.74/0.43 % (3721291)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1184169022:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.74/0.43 % (3721256)Instruction limit reached!
% 0.74/0.43 % (3721256)------------------------------
% 0.74/0.43 % (3721256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721256)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721256)Termination reason: Instruction limit
% 0.74/0.43 % (3721256)Termination phase: Saturation
% 0.74/0.43 % (3721256)Time elapsed: 0.080 s
% 0.74/0.43 % (3721256)Peak memory usage: 14 MB
% 0.74/0.43 % (3721256)Instructions burned: 157 (million)
% 0.74/0.43 % (3721272)Instruction limit reached!
% 0.74/0.43 % (3721272)------------------------------
% 0.74/0.43 % (3721272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721272)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721272)Termination reason: Instruction limit
% 0.74/0.43 % (3721272)Termination phase: Preprocessing 3
% 0.74/0.43 % (3721272)Time elapsed: 0.038 s
% 0.74/0.43 % (3721272)Peak memory usage: 11 MB
% 0.74/0.43 % (3721272)Instructions burned: 88 (million)
% 0.74/0.43 % (3721294)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3964389942:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.74/0.43 % (3721294)Instruction limit reached!
% 0.74/0.43 % (3721294)------------------------------
% 0.74/0.43 % (3721294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721294)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721294)Termination reason: Instruction limit
% 0.74/0.43 % (3721294)Termination phase: shuffling
% 0.74/0.43 % (3721294)Time elapsed: 0.007 s
% 0.74/0.43 % (3721294)Peak memory usage: 10 MB
% 0.74/0.43 % (3721294)Instructions burned: 15 (million)
% 0.74/0.43 % (3721291)Instruction limit reached!
% 0.74/0.43 % (3721291)------------------------------
% 0.74/0.43 % (3721291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721291)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721291)Termination reason: Instruction limit
% 0.74/0.43 % (3721291)Termination phase: Property scanning
% 0.74/0.43 % (3721291)Time elapsed: 0.013 s
% 0.74/0.43 % (3721291)Peak memory usage: 10 MB
% 0.74/0.43 % (3721291)Instructions burned: 27 (million)
% 0.74/0.43 % (3721306)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4089698666:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.74/0.43 % (3721309)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3779814160: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)
% 0.74/0.43 % (3721309)Instruction limit reached!
% 0.74/0.43 % (3721309)------------------------------
% 0.74/0.43 % (3721309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721309)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721309)Termination reason: Instruction limit
% 0.74/0.43 % (3721309)Termination phase: shuffling
% 0.74/0.43 % (3721309)Time elapsed: 0.002 s
% 0.74/0.43 % (3721309)Peak memory usage: 10 MB
% 0.74/0.43 % (3721309)Instructions burned: 3 (million)
% 0.74/0.43 % (3721306)Instruction limit reached!
% 0.74/0.43 % (3721306)------------------------------
% 0.74/0.43 % (3721306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721306)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721306)Termination reason: Instruction limit
% 0.74/0.43 % (3721306)Termination phase: shuffling
% 0.74/0.43 % (3721306)Time elapsed: 0.007 s
% 0.74/0.43 % (3721306)Peak memory usage: 10 MB
% 0.74/0.43 % (3721306)Instructions burned: 15 (million)
% 0.74/0.43 % (3721288) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3721245-3721288"...
% 0.74/0.43 % (3721288)...printing done.
% 0.74/0.43 % (3721314)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3500328184:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.74/0.43 % (3721315)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1861759314:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.74/0.43 % (3721288)Refutation found. Thanks to Tanya!
% 0.74/0.43 % SZS status Theorem for theBenchmark
% 0.74/0.43 % SZS output start Proof for theBenchmark
% 0.74/0.43 thf(type_def_5, type, coindu1593790203_llist: $tType > $tType).
% 0.74/0.43 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 0.74/0.43 thf(type_def_7, type, set: $tType > $tType).
% 0.74/0.43 thf(type_def_8, type, itself: $tType > $tType).
% 0.74/0.43 thf(type_def_9, type, a: $tType).
% 0.74/0.43 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.74/0.43 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.74/0.43 thf(func_def_1, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.74/0.43 thf(func_def_2, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.74/0.43 thf(func_def_3, type, semilattice_sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.74/0.43 thf(func_def_4, type, bounded_lattice_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.74/0.43 thf(func_def_5, type, bounde1808546759up_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.74/0.43 thf(func_def_6, type, coindu1928975208n_lset: !>[X0: $tType]:((set @ X0 > coindu1593790203_llist @ X0 > set @ X0))).
% 0.74/0.43 thf(func_def_7, type, coindu268472904append: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_8, type, coindu1213758845finite: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 0.74/0.43 thf(func_def_9, type, coindu1121789889_LCons: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_10, type, coindu1598213697e_LNil: !>[X0: $tType]:(coindu1593790203_llist @ X0)).
% 0.74/0.43 thf(func_def_11, type, coindu882539134_llist: !>[X0: $tType, X1: $tType]:((X0 > (X1 > coindu1593790203_llist @ X1 > X0) > coindu1593790203_llist @ X1 > X0))).
% 0.74/0.43 thf(func_def_12, type, coindu1244876290_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > coindu1593790203_llist @ X1) > (X0 > X0) > X0 > coindu1593790203_llist @ X1))).
% 0.74/0.43 thf(func_def_13, type, coindu1046438764le_lhd: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 0.74/0.43 thf(func_def_14, type, coindu987187967t_all2: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X1 > $o))).
% 0.74/0.43 thf(func_def_15, type, coindu335574135_lnull: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 0.74/0.43 thf(func_def_16, type, coindu1112613586e_lset: !>[X0: $tType]:((coindu1593790203_llist @ X0 > set @ X0))).
% 0.74/0.43 thf(func_def_17, type, coindu1047225960le_ltl: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_18, type, coindu44415597_llist: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > $o))).
% 0.74/0.43 thf(func_def_19, type, coindu567634248member: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > $o))).
% 0.74/0.43 thf(func_def_20, type, coindu1696667936prefix: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 0.74/0.43 thf(func_def_21, type, coindu1055736764_lsetp: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > $o))).
% 0.74/0.43 thf(func_def_22, type, coindu1599971794_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coindu1593790203_llist @ X1))).
% 0.74/0.43 thf(func_def_23, type, comple1396247847notone: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > $o))).
% 0.74/0.43 thf(func_def_24, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.74/0.43 thf(func_def_25, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.74/0.43 thf(func_def_26, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.74/0.43 thf(func_def_27, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.74/0.43 thf(func_def_28, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.74/0.43 thf(func_def_29, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.74/0.43 thf(func_def_30, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.74/0.43 thf(func_def_31, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.74/0.43 thf(func_def_32, type, x: a).
% 0.74/0.43 thf(func_def_34, type, vOR: ($o > $o > $o)).
% 0.74/0.43 thf(func_def_35, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.74/0.43 thf(func_def_36, type, vAND: ($o > $o > $o)).
% 0.74/0.43 thf(func_def_37, type, db0: !>[X0: $tType]:(X0)).
% 0.74/0.43 thf(func_def_38, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.74/0.43 thf(func_def_39, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.74/0.43 thf(func_def_42, type, db2: !>[X0: $tType]:(X0)).
% 0.74/0.43 thf(func_def_43, type, db1: !>[X0: $tType]:(X0)).
% 0.74/0.43 thf(func_def_44, type, db4: !>[X0: $tType]:(X0)).
% 0.74/0.43 thf(func_def_45, type, db3: !>[X0: $tType]:(X0)).
% 0.74/0.43 thf(func_def_46, type, vNOT: ($o > $o)).
% 0.74/0.43 thf(func_def_47, type, db5: !>[X0: $tType]:(X0)).
% 0.74/0.43 thf(func_def_48, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.74/0.43 thf(func_def_49, type, vIMP: ($o > $o > $o)).
% 0.74/0.43 thf(func_def_50, type, sP0: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 0.74/0.43 thf(func_def_51, type, sP1: !>[X0: $tType, X1: $tType]:(((coindu1593790203_llist @ X0 > X1) > (coindu1593790203_llist @ X0 > X1) > X1 > coindu1593790203_llist @ X0 > $o))).
% 0.74/0.43 thf(func_def_52, type, sK2: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_53, type, sK3: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 0.74/0.43 thf(func_def_54, type, sK4: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_55, type, sK5: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_56, type, sK6: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > X0))).
% 0.74/0.43 thf(func_def_57, type, sK7: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_58, type, sK8: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_59, type, sK9: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_60, type, sK10: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > (X1 > X1 > $o) > X0))).
% 0.74/0.43 thf(func_def_61, type, sK11: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > (X1 > X1 > $o) > X0))).
% 0.74/0.43 thf(func_def_62, type, sK12: !>[X0: $tType, X1: $tType]:(((coindu1593790203_llist @ X0 > X1) > (coindu1593790203_llist @ X0 > X1) > X1 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_63, type, sK13: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > (coindu1593790203_llist @ X0 > X1) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_64, type, sK14: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > (coindu1593790203_llist @ X0 > X1) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_65, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > (coindu1593790203_llist @ X0 > X1) > X1 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_66, type, sK16: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_67, type, sK17: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 0.74/0.43 thf(func_def_68, type, sK18: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.74/0.43 thf(func_def_69, type, sK19: coindu1593790203_llist @ a).
% 0.74/0.43 thf(func_def_70, type, sK20: coindu1593790203_llist @ a).
% 0.74/0.43 thf(f4,axiom,(
% 0.74/0.43 ! [X0 : $tType,X3 : X0,X2 : coindu1593790203_llist @ X0,X4 : coindu1593790203_llist @ X0,X1 : X0] : (((coindu1696667936prefix @ X0 @ (coindu1121789889_LCons @ X0 @ X1 @ X2) @ (coindu1121789889_LCons @ X0 @ X3 @ X4))) = (coindu1696667936prefix @ X0 @ X2 @ X4) & (X1 = X3))),
% 0.74/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_LCons__lprefix__LCons)).
% 0.74/0.43 thf(f16,axiom,(
% 0.74/0.43 ! [X0 : $tType,X1 : $tType] : ((^[X2 : (X1 > X1 > $o), X3 : (X0 > X0 > $o), X4 : (X1 > X0)] : (! [X6 : X1,X5 : X1] : ((X2 @ X5 @ X6) => (X3 @ (X4 @ X5) @ (X4 @ X6))))) = comple1396247847notone @ X1 @ X0)),
% 0.74/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_monotone__def)).
% 0.74/0.43 thf(f273,conjecture,(
% 0.74/0.43 (comple1396247847notone @ coindu1593790203_llist @ a @ coindu1593790203_llist @ a @ coindu1696667936prefix @ a @ coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x))),
% 0.74/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.74/0.43 thf(f274,negated_conjecture,(
% 0.74/0.43 ~(comple1396247847notone @ coindu1593790203_llist @ a @ coindu1593790203_llist @ a @ coindu1696667936prefix @ a @ coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x))),
% 0.74/0.43 inference(negated_conjecture,[status(cth)],[f273])).
% 0.74/0.43 thf(f597,plain,(
% 0.74/0.43 ! [X0 : $tType,X1 : $tType] : ((^[X2 : (X1 > X1 > $o), X3 : (X0 > X0 > $o), X4 : (X1 > X0)] : (! [X5 : X1,X6 : X1] : ((X2 @ X6 @ X5) => (X3 @ (X4 @ X6) @ (X4 @ X5))))) = comple1396247847notone @ X1 @ X0)),
% 0.74/0.43 inference(rectify,[],[f16])).
% 0.74/0.43 thf(f598,plain,(
% 0.74/0.43 ! [X1 : $tType,X0 : $tType] : (comple1396247847notone @ X1 @ X0 = (^[Y0 : X1 > X1 > $o]: ((^[Y1 : X0 > X0 > $o]: ((^[Y2 : X1 > X0]: (!! @ X1 @ (^[Y3 : X1]: (!! @ X1 @ (^[Y4 : X1]: ((Y0 @ Y3 @ Y4) => (Y1 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))))))))),
% 0.74/0.43 inference(fool_elimination,[],[f597])).
% 0.74/0.43 thf(f676,plain,(
% 0.74/0.43 ~(comple1396247847notone @ coindu1593790203_llist @ a @ coindu1593790203_llist @ a @ coindu1696667936prefix @ a @ coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x))),
% 0.74/0.43 inference(rectify,[],[f274])).
% 0.74/0.43 thf(f677,plain,(
% 0.74/0.43 ~ (((comple1396247847notone @ coindu1593790203_llist @ a @ coindu1593790203_llist @ a @ coindu1696667936prefix @ a @ coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x))) = $true)),
% 0.74/0.43 inference(fool_elimination,[],[f676])).
% 0.74/0.43 thf(f736,plain,(
% 0.74/0.43 ! [X0 : $tType,X1 : X0,X2 : coindu1593790203_llist @ X0,X3 : coindu1593790203_llist @ X0,X4 : X0] : (((coindu1696667936prefix @ X0 @ (coindu1121789889_LCons @ X0 @ X4 @ X2) @ (coindu1121789889_LCons @ X0 @ X1 @ X3))) = (coindu1696667936prefix @ X0 @ X2 @ X3) & (X1 = X4))),
% 0.74/0.43 inference(rectify,[],[f4])).
% 0.74/0.43 thf(f737,plain,(
% 0.74/0.43 ! [X0 : $tType,X3 : coindu1593790203_llist @ X0,X4 : X0,X2 : coindu1593790203_llist @ X0,X1 : X0] : ((((X1 = X4) & (coindu1696667936prefix @ X0 @ X2 @ X3))) = ((coindu1696667936prefix @ X0 @ (coindu1121789889_LCons @ X0 @ X4 @ X2) @ (coindu1121789889_LCons @ X0 @ X1 @ X3))))),
% 0.74/0.43 inference(fool_elimination,[],[f736])).
% 0.74/0.43 thf(f745,plain,(
% 0.74/0.43 (((comple1396247847notone @ coindu1593790203_llist @ a @ coindu1593790203_llist @ a @ coindu1696667936prefix @ a @ coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x))) != $true)),
% 0.74/0.43 inference(flattening,[],[f677])).
% 0.74/0.43 thf(f799,plain,(
% 0.74/0.43 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0,X2 : X0,X3 : coindu1593790203_llist @ X0,X4 : X0] : (((coindu1696667936prefix @ X0 @ (coindu1121789889_LCons @ X0 @ X2 @ X3) @ (coindu1121789889_LCons @ X0 @ X4 @ X1))) = (((X4 = X2) & (coindu1696667936prefix @ X0 @ X3 @ X1))))),
% 0.74/0.43 inference(rectify,[],[f737])).
% 0.74/0.43 thf(f815,plain,(
% 0.74/0.43 ! [X0 : $tType,X1 : $tType] : (comple1396247847notone @ X0 @ X1 = (^[Y0 : X0 > X0 > $o]: ((^[Y1 : X1 > X1 > $o]: ((^[Y2 : X0 > X1]: (!! @ X0 @ (^[Y3 : X0]: (!! @ X0 @ (^[Y4 : X0]: ((Y0 @ Y3 @ Y4) => (Y1 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))))))))),
% 0.74/0.43 inference(rectify,[],[f598])).
% 0.74/0.43 thf(f832,plain,(
% 0.74/0.43 ( ! [X0 : $tType,X2 : X0,X3 : coindu1593790203_llist @ X0,X1 : coindu1593790203_llist @ X0,X4 : X0] : ((((coindu1696667936prefix @ X0 @ (coindu1121789889_LCons @ X0 @ X2 @ X3) @ (coindu1121789889_LCons @ X0 @ X4 @ X1))) = (((X4 = X2) & (coindu1696667936prefix @ X0 @ X3 @ X1))))) )),
% 0.74/0.43 inference(cnf_transformation,[],[f799])).
% 0.74/0.43 thf(f850,plain,(
% 0.74/0.43 (((comple1396247847notone @ coindu1593790203_llist @ a @ coindu1593790203_llist @ a @ coindu1696667936prefix @ a @ coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x))) != $true)),
% 0.74/0.43 inference(cnf_transformation,[],[f745])).
% 0.74/0.43 thf(f868,plain,(
% 0.74/0.43 ( ! [X1 : $tType,X0 : $tType] : ((comple1396247847notone @ X0 @ X1 = (^[Y0 : X0 > X0 > $o]: ((^[Y1 : X1 > X1 > $o]: ((^[Y2 : X0 > X1]: (!! @ X0 @ (^[Y3 : X0]: (!! @ X0 @ (^[Y4 : X0]: ((Y0 @ Y3 @ Y4) => (Y1 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))))))))) )),
% 0.74/0.43 inference(cnf_transformation,[],[f815])).
% 0.74/0.43 thf(f896,plain,(
% 0.74/0.43 ((((^[Y0 : coindu1593790203_llist @ a > coindu1593790203_llist @ a > $o]: ((^[Y1 : coindu1593790203_llist @ a > coindu1593790203_llist @ a > $o]: ((^[Y2 : coindu1593790203_llist @ a > coindu1593790203_llist @ a]: (!! @ coindu1593790203_llist @ a @ (^[Y3 : coindu1593790203_llist @ a]: (!! @ coindu1593790203_llist @ a @ (^[Y4 : coindu1593790203_llist @ a]: ((Y0 @ Y3 @ Y4) => (Y1 @ (Y2 @ Y3) @ (Y2 @ Y4)))))))))))) @ coindu1696667936prefix @ a @ coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x))) != $true)),
% 0.74/0.43 inference(definition_unfolding,[],[f850,f868])).
% 0.74/0.43 thf(f918,plain,(
% 0.74/0.43 ($true != ((!! @ coindu1593790203_llist @ a @ (^[Y0 : coindu1593790203_llist @ a]: (!! @ coindu1593790203_llist @ a @ (^[Y1 : coindu1593790203_llist @ a]: ((coindu1696667936prefix @ a @ Y0 @ Y1) => (coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x @ Y0) @ (coindu1121789889_LCons @ a @ x @ Y1)))))))))),
% 0.74/0.43 inference(beta-eta_normalization,[],[f896])).
% 0.74/0.43 thf(f919,plain,(
% 0.74/0.43 ($false = (((^[Y0 : coindu1593790203_llist @ a]: (!! @ coindu1593790203_llist @ a @ (^[Y1 : coindu1593790203_llist @ a]: ((coindu1696667936prefix @ a @ Y0 @ Y1) => (coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x @ Y0) @ (coindu1121789889_LCons @ a @ x @ Y1)))))) @ sK19)))),
% 0.74/0.43 inference(sigma_proxy_clausification,[],[f918])).
% 0.74/0.43 thf(f920,plain,(
% 0.74/0.43 (((!! @ coindu1593790203_llist @ a @ (^[Y0 : coindu1593790203_llist @ a]: ((coindu1696667936prefix @ a @ sK19 @ Y0) => (coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x @ sK19) @ (coindu1121789889_LCons @ a @ x @ Y0)))))) = $false)),
% 0.74/0.43 inference(beta-eta_normalization,[],[f919])).
% 0.74/0.43 thf(f921,plain,(
% 0.74/0.43 ((((^[Y0 : coindu1593790203_llist @ a]: ((coindu1696667936prefix @ a @ sK19 @ Y0) => (coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x @ sK19) @ (coindu1121789889_LCons @ a @ x @ Y0)))) @ sK20)) = $false)),
% 0.74/0.43 inference(sigma_proxy_clausification,[],[f920])).
% 0.74/0.43 thf(f922,plain,(
% 0.74/0.43 ((((coindu1696667936prefix @ a @ sK19 @ sK20) => (coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x @ sK19) @ (coindu1121789889_LCons @ a @ x @ sK20)))) = $false)),
% 0.74/0.43 inference(beta-eta_normalization,[],[f921])).
% 0.74/0.43 thf(f923,plain,(
% 0.74/0.43 (((coindu1696667936prefix @ a @ (coindu1121789889_LCons @ a @ x @ sK19) @ (coindu1121789889_LCons @ a @ x @ sK20))) = $false)),
% 0.74/0.43 inference(imp_proxy_clausification,[],[f922])).
% 0.74/0.43 thf(f924,plain,(
% 0.74/0.43 (((coindu1696667936prefix @ a @ sK19 @ sK20)) = $true)),
% 0.74/0.43 inference(imp_proxy_clausification,[],[f922])).
% 0.74/0.43 thf(f925,plain,(
% 0.74/0.43 ((((x = x) & (coindu1696667936prefix @ a @ sK19 @ sK20))) = $false)),
% 0.74/0.43 inference(forward_demodulation,[],[f923,f832])).
% 0.74/0.43 thf(f926,plain,(
% 0.74/0.43 (((x = x)) = $false) | (((coindu1696667936prefix @ a @ sK19 @ sK20)) = $false)),
% 0.74/0.43 inference(and_proxy_clausification,[],[f925])).
% 0.74/0.43 thf(f927,plain,(
% 0.74/0.43 (((coindu1696667936prefix @ a @ sK19 @ sK20)) = $false) | (x != x)),
% 0.74/0.43 inference(equality_proxy_clausification,[],[f926])).
% 0.74/0.43 thf(f928,plain,(
% 0.74/0.43 (((coindu1696667936prefix @ a @ sK19 @ sK20)) = $false)),
% 0.74/0.43 inference(trivial_inequality_removal,[],[f927])).
% 0.74/0.43 thf(f968,plain,(
% 0.74/0.43 ($true = $false)),
% 0.74/0.43 inference(superposition,[],[f928,f924])).
% 0.74/0.43 thf(f992,plain,(
% 0.74/0.43 $false),
% 0.74/0.43 inference(trivial_inequality_removal,[],[f968])).
% 0.74/0.43 % SZS output end Proof for theBenchmark
% 0.74/0.43 % (3721288)------------------------------
% 0.74/0.43 % (3721288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3721288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3721288)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3721288)Termination reason: Refutation
% 0.74/0.43 % (3721288)Time elapsed: 0.032 s
% 0.74/0.43 % (3721288)Peak memory usage: 13 MB
% 0.74/0.43 % (3721288)Instructions burned: 63 (million)
% 0.74/0.43 % (3721245)Success in time 0.165 s
% 0.74/0.43 % Vampire exiting
%------------------------------------------------------------------------------