%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT119^1 : 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 : n005.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 1.95s 0.56s
% Output : Refutation 1.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT119^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n005.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 17:58:17 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running higher-order theorem proving
% 0.09/0.24 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
% 0.67/0.39 % (2001042)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.67/0.39 % (2001047)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=944072041:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.67/0.39 % (2001053)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.67/0.39 % (2001053)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
% 0.67/0.39 % (2001048)lrs+10_16_si=on:nwc=1.5:random_seed=2960578827:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.67/0.39 % (2001049)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=359357818:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.67/0.39 % (2001053)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=2649457199:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.67/0.39 % (2001051)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3199171933:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.67/0.39 % (2001050)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=2072584815: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)
% 0.67/0.39 % (2001052)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1262329462:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.67/0.39 % (2001049)Instruction limit reached!
% 0.67/0.39 % (2001049)------------------------------
% 0.67/0.39 % (2001049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.39 % (2001049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.39 % (2001049)CaDiCaL version: 2.1.3
% 0.67/0.39 % (2001049)Termination reason: Instruction limit
% 0.67/0.39 % (2001049)Termination phase: shuffling
% 0.67/0.39 % (2001049)Time elapsed: 0.002 s
% 0.67/0.39 % (2001049)Peak memory usage: 10 MB
% 0.67/0.39 % (2001049)Instructions burned: 3 (million)
% 0.67/0.39 % (2001048)Instruction limit reached!
% 0.67/0.39 % (2001048)------------------------------
% 0.67/0.39 % (2001048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.39 % (2001048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.39 % (2001048)CaDiCaL version: 2.1.3
% 0.67/0.39 % (2001048)Termination reason: Instruction limit
% 0.67/0.39 % (2001048)Termination phase: Property scanning
% 0.67/0.39 % (2001048)Time elapsed: 0.010 s
% 0.67/0.39 % (2001048)Peak memory usage: 10 MB
% 0.67/0.39 % (2001048)Instructions burned: 20 (million)
% 0.67/0.39 % (2001051)Instruction limit reached!
% 0.67/0.39 % (2001051)------------------------------
% 0.67/0.39 % (2001051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.39 % (2001051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.39 % (2001051)CaDiCaL version: 2.1.3
% 0.67/0.39 % (2001051)Termination reason: Instruction limit
% 0.67/0.39 % (2001051)Termination phase: Preprocessing 1
% 0.67/0.39 % (2001051)Time elapsed: 0.012 s
% 0.67/0.39 % (2001051)Peak memory usage: 10 MB
% 0.67/0.39 % (2001051)Instructions burned: 24 (million)
% 0.67/0.39 % (2001047)Instruction limit reached!
% 0.67/0.39 % (2001047)------------------------------
% 0.67/0.39 % (2001047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.39 % (2001047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.39 % (2001047)CaDiCaL version: 2.1.3
% 0.67/0.39 % (2001047)Termination reason: Instruction limit
% 0.67/0.39 % (2001047)Termination phase: Saturation
% 0.67/0.39 % (2001047)Time elapsed: 0.024 s
% 0.67/0.39 % (2001047)Peak memory usage: 13 MB
% 0.67/0.39 % (2001047)Instructions burned: 89 (million)
% 0.67/0.39 % (2001061)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=907193231:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.39 % (2001061)Instruction limit reached!
% 0.67/0.39 % (2001061)------------------------------
% 0.67/0.39 % (2001061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.42 % (2001061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.42 % (2001061)CaDiCaL version: 2.1.3
% 0.67/0.42 % (2001061)Termination reason: Instruction limit
% 0.67/0.42 % (2001061)Termination phase: shuffling
% 0.67/0.42 % (2001061)Time elapsed: 0.002 s
% 0.67/0.42 % (2001061)Peak memory usage: 10 MB
% 0.67/0.42 % (2001061)Instructions burned: 3 (million)
% 0.67/0.42 % (2001064)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3765834672:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.67/0.42 % (2001063)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.42 % (2001062)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1642263924:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.67/0.42 % (2001063)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3496641652:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.67/0.42 % (2001064)Instruction limit reached!
% 0.67/0.42 % (2001064)------------------------------
% 0.67/0.42 % (2001064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.42 % (2001062)Instruction limit reached!
% 0.67/0.42 % (2001062)------------------------------
% 0.67/0.42 % (2001062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.42 % (2001064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.42 % (2001062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.42 % (2001064)CaDiCaL version: 2.1.3
% 0.67/0.42 % (2001064)Termination reason: Instruction limit
% 0.67/0.42 % (2001064)Termination phase: Property scanning
% 0.67/0.42 % (2001064)Time elapsed: 0.006 s
% 0.67/0.42 % (2001062)CaDiCaL version: 2.1.3
% 0.67/0.42 % (2001064)Peak memory usage: 10 MB
% 0.67/0.42 % (2001062)Termination reason: Instruction limit
% 0.67/0.42 % (2001062)Termination phase: shuffling
% 0.67/0.42 % (2001064)Instructions burned: 24 (million)
% 0.67/0.42 % (2001062)Time elapsed: 0.003 s
% 0.67/0.42 % (2001062)Peak memory usage: 10 MB
% 0.67/0.42 % (2001062)Instructions burned: 5 (million)
% 0.67/0.42 % (2001063)Instruction limit reached!
% 0.67/0.42 % (2001063)------------------------------
% 0.67/0.42 % (2001063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.42 % (2001063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.42 % (2001063)CaDiCaL version: 2.1.3
% 0.67/0.42 % (2001063)Termination reason: Instruction limit
% 0.67/0.42 % (2001063)Termination phase: shuffling
% 0.67/0.42 % (2001063)Time elapsed: 0.004 s
% 0.67/0.42 % (2001063)Peak memory usage: 10 MB
% 0.67/0.42 % (2001063)Instructions burned: 9 (million)
% 0.67/0.42 % (2001052)Instruction limit reached!
% 0.67/0.42 % (2001052)------------------------------
% 0.67/0.42 % (2001052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.42 % (2001052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.42 % (2001052)CaDiCaL version: 2.1.3
% 0.67/0.42 % (2001052)Termination reason: Instruction limit
% 0.67/0.42 % (2001052)Termination phase: Saturation
% 0.67/0.42 % (2001052)Time elapsed: 0.037 s
% 0.67/0.42 % (2001052)Peak memory usage: 12 MB
% 0.67/0.42 % (2001052)Instructions burned: 77 (million)
% 0.67/0.42 % (2001066)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
% 0.67/0.42 % (2001066)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.42 % (2001071)lrs+10_1_si=on:cs=on:random_seed=3469670888:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.67/0.42 % (2001066)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3102772844:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.67/0.42 % (2001071)Instruction limit reached!
% 0.67/0.42 % (2001071)------------------------------
% 0.67/0.42 % (2001071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.42 % (2001071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.45 % (2001071)CaDiCaL version: 2.1.3
% 0.67/0.45 % (2001071)Termination reason: Instruction limit
% 0.67/0.45 % (2001071)Termination phase: shuffling
% 0.67/0.45 % (2001071)Time elapsed: 0.003 s
% 0.67/0.45 % (2001071)Peak memory usage: 10 MB
% 0.67/0.45 % (2001071)Instructions burned: 11 (million)
% 0.67/0.45 % (2001072)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.67/0.45 % (2001070)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=845073345:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.67/0.45 % (2001072)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=879050447:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.45 % (2001076)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1186765035:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.67/0.45 % (2001073)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3823261316:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.67/0.45 % (2001072)Instruction limit reached!
% 0.67/0.45 % (2001072)------------------------------
% 0.67/0.45 % (2001072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.45 % (2001072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.45 % (2001072)CaDiCaL version: 2.1.3
% 0.67/0.45 % (2001072)Termination reason: Instruction limit
% 0.67/0.45 % (2001072)Termination phase: shuffling
% 0.67/0.45 % (2001072)Time elapsed: 0.002 s
% 0.67/0.45 % (2001072)Peak memory usage: 10 MB
% 0.67/0.45 % (2001072)Instructions burned: 4 (million)
% 0.67/0.45 % (2001066)Instruction limit reached!
% 0.67/0.45 % (2001066)------------------------------
% 0.67/0.45 % (2001066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.45 % (2001066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.45 % (2001066)CaDiCaL version: 2.1.3
% 0.67/0.45 % (2001066)Termination reason: Instruction limit
% 0.67/0.45 % (2001066)Termination phase: shuffling
% 0.67/0.45 % (2001066)Time elapsed: 0.014 s
% 0.67/0.45 % (2001066)Peak memory usage: 10 MB
% 0.67/0.45 % (2001066)Instructions burned: 28 (million)
% 0.67/0.45 % (2001073)Instruction limit reached!
% 0.67/0.45 % (2001073)------------------------------
% 0.67/0.45 % (2001073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.45 % (2001073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.45 % (2001073)CaDiCaL version: 2.1.3
% 0.67/0.45 % (2001073)Termination reason: Instruction limit
% 0.67/0.45 % (2001073)Termination phase: Property scanning
% 0.67/0.45 % (2001073)Time elapsed: 0.019 s
% 0.67/0.45 % (2001073)Peak memory usage: 12 MB
% 0.67/0.45 % (2001073)Instructions burned: 38 (million)
% 0.67/0.45 % (2001081)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2053722925:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.67/0.45 % (2001053)Instruction limit reached!
% 0.67/0.45 % (2001053)------------------------------
% 0.67/0.45 % (2001053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.45 % (2001053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.45 % (2001053)CaDiCaL version: 2.1.3
% 0.67/0.45 % (2001053)Termination reason: Instruction limit
% 0.67/0.45 % (2001053)Termination phase: Saturation
% 0.67/0.45 % (2001053)Time elapsed: 0.079 s
% 0.67/0.45 % (2001053)Peak memory usage: 13 MB
% 0.67/0.45 % (2001053)Instructions burned: 158 (million)
% 0.67/0.45 % (2001082)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4270460783:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.67/0.45 % (2001082)Instruction limit reached!
% 0.67/0.45 % (2001082)------------------------------
% 0.67/0.45 % (2001082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.45 % (2001082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.45 % (2001082)CaDiCaL version: 2.1.3
% 0.67/0.45 % (2001082)Termination reason: Instruction limit
% 0.67/0.45 % (2001082)Termination phase: Property scanning
% 1.42/0.50 % (2001082)Time elapsed: 0.007 s
% 1.42/0.50 % (2001082)Peak memory usage: 10 MB
% 1.42/0.50 % (2001082)Instructions burned: 15 (million)
% 1.42/0.50 % (2001081)Instruction limit reached!
% 1.42/0.50 % (2001081)------------------------------
% 1.42/0.50 % (2001081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.50 % (2001081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.50 % (2001081)CaDiCaL version: 2.1.3
% 1.42/0.50 % (2001081)Termination reason: Instruction limit
% 1.42/0.50 % (2001081)Termination phase: SInE selection
% 1.42/0.50 % (2001081)Time elapsed: 0.012 s
% 1.42/0.50 % (2001081)Peak memory usage: 11 MB
% 1.42/0.50 % (2001081)Instructions burned: 25 (million)
% 1.42/0.50 % (2001070)Instruction limit reached!
% 1.42/0.50 % (2001070)------------------------------
% 1.42/0.50 % (2001070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.50 % (2001070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.50 % (2001070)CaDiCaL version: 2.1.3
% 1.42/0.50 % (2001070)Termination reason: Instruction limit
% 1.42/0.50 % (2001070)Termination phase: Property scanning
% 1.42/0.50 % (2001070)Time elapsed: 0.039 s
% 1.42/0.50 % (2001070)Peak memory usage: 11 MB
% 1.42/0.50 % (2001070)Instructions burned: 88 (million)
% 1.42/0.50 % (2001083)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2454042358:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.42/0.50 % (2001085)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1699974572:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.50 % (2001085)Instruction limit reached!
% 1.42/0.50 % (2001085)------------------------------
% 1.42/0.50 % (2001085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.50 % (2001085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.50 % (2001085)CaDiCaL version: 2.1.3
% 1.42/0.50 % (2001085)Termination reason: Instruction limit
% 1.42/0.50 % (2001085)Termination phase: Property scanning
% 1.42/0.50 % (2001085)Time elapsed: 0.007 s
% 1.42/0.50 % (2001085)Peak memory usage: 10 MB
% 1.42/0.50 % (2001085)Instructions burned: 15 (million)
% 1.42/0.50 % (2001087)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3780467362: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)
% 1.42/0.50 % (2001087)Instruction limit reached!
% 1.42/0.50 % (2001087)------------------------------
% 1.42/0.50 % (2001087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.50 % (2001087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.50 % (2001087)CaDiCaL version: 2.1.3
% 1.42/0.50 % (2001087)Termination reason: Instruction limit
% 1.42/0.50 % (2001087)Termination phase: shuffling
% 1.42/0.50 % (2001087)Time elapsed: 0.002 s
% 1.42/0.50 % (2001087)Peak memory usage: 10 MB
% 1.42/0.50 % (2001087)Instructions burned: 3 (million)
% 1.42/0.50 % (2001088)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=716850018:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.42/0.50 % (2001089)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3664442741:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.42/0.50 % (2001076)Instruction limit reached!
% 1.42/0.50 % (2001076)------------------------------
% 1.42/0.50 % (2001076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.50 % (2001076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.50 % (2001076)CaDiCaL version: 2.1.3
% 1.42/0.50 % (2001076)Termination reason: Instruction limit
% 1.42/0.50 % (2001076)Termination phase: Saturation
% 1.42/0.50 % (2001076)Time elapsed: 0.061 s
% 1.42/0.50 % (2001076)Peak memory usage: 13 MB
% 1.42/0.50 % (2001076)Instructions burned: 252 (million)
% 1.42/0.50 % (2001089)Instruction limit reached!
% 1.42/0.50 % (2001089)------------------------------
% 1.42/0.50 % (2001089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.50 % (2001089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.50 % (2001089)CaDiCaL version: 2.1.3
% 1.42/0.50 % (2001089)Termination reason: Instruction limit
% 1.42/0.50 % (2001089)Termination phase: Property scanning
% 1.42/0.50 % (2001089)Time elapsed: 0.012 s
% 1.42/0.50 % (2001089)Peak memory usage: 10 MB
% 1.95/0.56 % (2001089)Instructions burned: 25 (million)
% 1.95/0.56 % (2001088)Instruction limit reached!
% 1.95/0.56 % (2001088)------------------------------
% 1.95/0.56 % (2001088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001088)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001088)Termination reason: Instruction limit
% 1.95/0.56 % (2001088)Termination phase: shuffling
% 1.95/0.56 % (2001088)Time elapsed: 0.013 s
% 1.95/0.56 % (2001088)Peak memory usage: 10 MB
% 1.95/0.56 % (2001088)Instructions burned: 28 (million)
% 1.95/0.56 % (2001094)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
% 1.95/0.56 % (2001094)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.95/0.56 % (2001093)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=415319734:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.95/0.56 % (2001097)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.95/0.56 % (2001094)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=106897883:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.95/0.56 % (2001097)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=4048148588:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.95/0.56 % (2001097)Instruction limit reached!
% 1.95/0.56 % (2001097)------------------------------
% 1.95/0.56 % (2001097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001097)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001097)Termination reason: Instruction limit
% 1.95/0.56 % (2001097)Termination phase: shuffling
% 1.95/0.56 % (2001097)Time elapsed: 0.003 s
% 1.95/0.56 % (2001097)Peak memory usage: 10 MB
% 1.95/0.56 % (2001097)Instructions burned: 13 (million)
% 1.95/0.56 % (2001094)Instruction limit reached!
% 1.95/0.56 % (2001094)------------------------------
% 1.95/0.56 % (2001094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001094)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001094)Termination reason: Instruction limit
% 1.95/0.56 % (2001094)Termination phase: shuffling
% 1.95/0.56 % (2001094)Time elapsed: 0.007 s
% 1.95/0.56 % (2001094)Peak memory usage: 10 MB
% 1.95/0.56 % (2001094)Instructions burned: 16 (million)
% 1.95/0.56 % (2001098)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=733645277:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.95/0.56 % (2001103)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=347201215:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.95/0.56 % (2001099)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2874882300:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.95/0.56 % (2001099)Instruction limit reached!
% 1.95/0.56 % (2001099)------------------------------
% 1.95/0.56 % (2001099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001099)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001099)Termination reason: Instruction limit
% 1.95/0.56 % (2001099)Termination phase: shuffling
% 1.95/0.56 % (2001099)Time elapsed: 0.004 s
% 1.95/0.56 % (2001099)Peak memory usage: 10 MB
% 1.95/0.56 % (2001099)Instructions burned: 9 (million)
% 1.95/0.56 % (2001103)Instruction limit reached!
% 1.95/0.56 % (2001103)------------------------------
% 1.95/0.56 % (2001103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001103)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001103)Termination reason: Instruction limit
% 1.95/0.56 % (2001103)Termination phase: shuffling
% 1.95/0.56 % (2001103)Time elapsed: 0.006 s
% 1.95/0.56 % (2001103)Peak memory usage: 10 MB
% 1.95/0.56 % (2001103)Instructions burned: 24 (million)
% 1.95/0.56 % (2001093)Instruction limit reached!
% 1.95/0.56 % (2001093)------------------------------
% 1.95/0.56 % (2001093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001093)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001093)Termination reason: Instruction limit
% 1.95/0.56 % (2001093)Termination phase: Property scanning
% 1.95/0.56 % (2001093)Time elapsed: 0.029 s
% 1.95/0.56 % (2001093)Peak memory usage: 12 MB
% 1.95/0.56 % (2001093)Instructions burned: 61 (million)
% 1.95/0.56 % (2001104)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=448684116:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.95/0.56 % (2001098)Instruction limit reached!
% 1.95/0.56 % (2001098)------------------------------
% 1.95/0.56 % (2001098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001098)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001098)Termination reason: Instruction limit
% 1.95/0.56 % (2001098)Termination phase: Property scanning
% 1.95/0.56 % (2001098)Time elapsed: 0.015 s
% 1.95/0.56 % (2001098)Peak memory usage: 10 MB
% 1.95/0.56 % (2001098)Instructions burned: 32 (million)
% 1.95/0.56 % (2001109)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4058677362:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.95/0.56 % (2001104)Instruction limit reached!
% 1.95/0.56 % (2001104)------------------------------
% 1.95/0.56 % (2001104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001104)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001104)Termination reason: Instruction limit
% 1.95/0.56 % (2001104)Termination phase: Property scanning
% 1.95/0.56 % (2001104)Time elapsed: 0.010 s
% 1.95/0.56 % (2001104)Peak memory usage: 10 MB
% 1.95/0.56 % (2001104)Instructions burned: 22 (million)
% 1.95/0.56 % (2001108)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4182364726:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.95/0.56 % (2001111)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3067084208:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.95/0.56 % (2001112)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2167956326:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.95/0.56 % (2001114)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.95/0.56 % (2001114)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2705487391:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.95/0.56 % (2001114)Instruction limit reached!
% 1.95/0.56 % (2001114)------------------------------
% 1.95/0.56 % (2001114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001114)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001114)Termination reason: Instruction limit
% 1.95/0.56 % (2001114)Termination phase: shuffling
% 1.95/0.56 % (2001114)Time elapsed: 0.004 s
% 1.95/0.56 % (2001114)Peak memory usage: 10 MB
% 1.95/0.56 % (2001114)Instructions burned: 8 (million)
% 1.95/0.56 % (2001112)Instruction limit reached!
% 1.95/0.56 % (2001112)------------------------------
% 1.95/0.56 % (2001112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001112)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001112)Termination reason: Instruction limit
% 1.95/0.56 % (2001112)Termination phase: Property scanning
% 1.95/0.56 % (2001112)Time elapsed: 0.021 s
% 1.95/0.56 % (2001112)Peak memory usage: 11 MB
% 1.95/0.56 % (2001112)Instructions burned: 44 (million)
% 1.95/0.56 % (2001109)Instruction limit reached!
% 1.95/0.56 % (2001109)------------------------------
% 1.95/0.56 % (2001109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001109)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001109)Termination reason: Instruction limit
% 1.95/0.56 % (2001109)Termination phase: Saturation
% 1.95/0.56 % (2001109)Time elapsed: 0.040 s
% 1.95/0.56 % (2001109)Peak memory usage: 14 MB
% 1.95/0.56 % (2001109)Instructions burned: 148 (million)
% 1.95/0.56 % (2001119)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=61099175:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.95/0.56 % (2001121)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.95/0.56 % (2001121)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2558740009:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.95/0.56 % (2001121)Instruction limit reached!
% 1.95/0.56 % (2001121)------------------------------
% 1.95/0.56 % (2001121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001121)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001121)Termination reason: Instruction limit
% 1.95/0.56 % (2001121)Termination phase: shuffling
% 1.95/0.56 % (2001121)Time elapsed: 0.002 s
% 1.95/0.56 % (2001121)Peak memory usage: 10 MB
% 1.95/0.56 % (2001121)Instructions burned: 8 (million)
% 1.95/0.56 % (2001120)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2584539248:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.95/0.56 % (2001124)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3400228656:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.95/0.56 % (2001124)Instruction limit reached!
% 1.95/0.56 % (2001124)------------------------------
% 1.95/0.56 % (2001124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001124)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001124)Termination reason: Instruction limit
% 1.95/0.56 % (2001124)Termination phase: Preprocessing 1
% 1.95/0.56 % (2001124)Time elapsed: 0.006 s
% 1.95/0.56 % (2001124)Peak memory usage: 10 MB
% 1.95/0.56 % (2001124)Instructions burned: 26 (million)
% 1.95/0.56 % (2001127)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=447456790:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.95/0.56 % (2001127)Instruction limit reached!
% 1.95/0.56 % (2001127)------------------------------
% 1.95/0.56 % (2001127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.56 % (2001127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.56 % (2001127)CaDiCaL version: 2.1.3
% 1.95/0.56 % (2001127)Termination reason: Instruction limit
% 1.95/0.56 % (2001127)Termination phase: shuffling
% 1.95/0.56 % (2001127)Time elapsed: 0.005 s
% 1.95/0.56 % (2001127)Peak memory usage: 10 MB
% 1.95/0.56 % (2001127)Instructions burned: 22 (million)
% 1.95/0.56 % (2001129)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2246288875:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 1.95/0.56 % (2001083) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2001042-2001083"...
% 1.95/0.56 % (2001083)...printing done.
% 1.95/0.56 % (2001120) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2001042-2001120"...
% 1.95/0.56 % (2001083)Refutation found. Thanks to Tanya!
% 1.95/0.56 % SZS status Theorem for theBenchmark
% 1.95/0.56 % SZS output start Proof for theBenchmark
% 1.95/0.56 thf(type_def_5, type, coindu1593790203_llist: $tType > $tType).
% 1.95/0.56 thf(type_def_6, type, extended_enat: $tType).
% 1.95/0.56 thf(type_def_7, type, set: $tType > $tType).
% 1.95/0.56 thf(type_def_8, type, nat: $tType).
% 1.95/0.56 thf(type_def_9, type, itself: $tType > $tType).
% 1.95/0.56 thf(type_def_10, type, a: $tType).
% 1.95/0.56 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 1.95/0.56 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_1, type, zero: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_3, type, mult_zero: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_4, type, group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_5, type, semiring_1: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_6, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_7, type, ordered_ring: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_8, type, semigroup_mult: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_9, type, comm_semiring_1: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_10, type, linordered_ring: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_11, type, ordered_semiring: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_12, type, comm_monoid_diff: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_13, type, ab_semigroup_mult: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_14, type, ordered_semiring_0: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_15, type, ordered_ab_group_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_16, type, linord581940658strict: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_17, type, cancel1352612707id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_18, type, cancel146912293up_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_19, type, semiri1193490041visors: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_20, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_21, type, semiri1923998003cancel: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.95/0.56 thf(func_def_22, type, coindu1928975208n_lset: !>[X0: $tType]:((set @ X0 > coindu1593790203_llist @ X0 > set @ X0))).
% 1.95/0.56 thf(func_def_23, type, coindu1529956631erates: !>[X0: $tType]:(((X0 > X0) > X0 > coindu1593790203_llist @ X0))).
% 1.95/0.56 thf(func_def_24, type, coindu268472904append: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 1.95/0.56 thf(func_def_25, type, coindu1213758845finite: !>[X0: $tType]:((coindu1593790203_llist @ X0 > $o))).
% 1.95/0.56 thf(func_def_26, type, coindu1018505716length: !>[X0: $tType]:((coindu1593790203_llist @ X0 > extended_enat))).
% 1.95/0.56 thf(func_def_27, type, coindu300403952lexord: !>[X0: $tType]:(((X0 > X0 > $o) > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0 > $o))).
% 1.95/0.56 thf(func_def_28, type, coindu1121789889_LCons: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 1.95/0.56 thf(func_def_29, type, coindu1598213697e_LNil: !>[X0: $tType]:(coindu1593790203_llist @ X0)).
% 1.95/0.56 thf(func_def_30, type, coindu882539134_llist: !>[X0: $tType, X1: $tType]:((X0 > (X1 > coindu1593790203_llist @ X1 > X0) > coindu1593790203_llist @ X1 > X0))).
% 1.95/0.56 thf(func_def_31, type, coindu1244876290_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > coindu1593790203_llist @ X1) > (X0 > X0) > X0 > coindu1593790203_llist @ X1))).
% 1.95/0.56 thf(func_def_32, type, coindu44415597_llist: !>[X0: $tType]:(((X0 > $o) > coindu1593790203_llist @ X0 > $o))).
% 1.95/0.56 thf(func_def_33, type, coindu567634248member: !>[X0: $tType]:((X0 > coindu1593790203_llist @ X0 > $o))).
% 1.95/0.56 thf(func_def_34, type, coindu1055736764_lsetp: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0 > $o))).
% 1.95/0.56 thf(func_def_35, type, coindu1599971794_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coindu1593790203_llist @ X1))).
% 1.95/0.56 thf(func_def_36, type, coinductive_enat_set: set @ extended_enat).
% 1.95/0.56 thf(func_def_37, type, coindu530039314t_setp: (extended_enat > $o)).
% 1.95/0.56 thf(func_def_38, type, coindu1491768222unfold: !>[X0: $tType]:(((X0 > $o) > (X0 > X0) > X0 > extended_enat))).
% 1.95/0.56 thf(func_def_39, type, extended_eSuc: (extended_enat > extended_enat)).
% 1.95/0.56 thf(func_def_40, type, extended_enat2: (nat > extended_enat)).
% 1.95/0.56 thf(func_def_41, type, extended_case_enat: !>[X0: $tType]:(((nat > X0) > X0 > extended_enat > X0))).
% 1.95/0.56 thf(func_def_42, type, extended_rec_enat: !>[X0: $tType]:(((nat > X0) > X0 > extended_enat > X0))).
% 1.95/0.56 thf(func_def_43, type, extended_size_enat: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_44, type, extend1396239628finity: !>[X0: $tType]:(X0)).
% 1.95/0.56 thf(func_def_45, type, extended_the_enat: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_46, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.95/0.56 thf(func_def_47, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.95/0.56 thf(func_def_48, type, zero_zero: !>[X0: $tType]:(X0)).
% 1.95/0.56 thf(func_def_49, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.95/0.56 thf(func_def_50, type, suc: (nat > nat)).
% 1.95/0.56 thf(func_def_51, type, semiri532925092at_aux: !>[X0: $tType]:(((X0 > X0) > nat > X0 > X0))).
% 1.95/0.56 thf(func_def_52, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 1.95/0.56 thf(func_def_53, type, nat_triangle: (nat > nat)).
% 1.95/0.56 thf(func_def_54, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.95/0.56 thf(func_def_55, type, type2: !>[X0: $tType]:(itself @ X0)).
% 1.95/0.56 thf(func_def_56, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.95/0.56 thf(func_def_57, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.95/0.56 thf(func_def_58, type, na: nat).
% 1.95/0.56 thf(func_def_59, type, thesis: $o).
% 1.95/0.56 thf(func_def_60, type, xsa: coindu1593790203_llist @ a).
% 1.95/0.56 thf(func_def_64, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.95/0.56 thf(func_def_65, type, db5: !>[X0: $tType]:(X0)).
% 1.95/0.56 thf(func_def_66, type, db0: !>[X0: $tType]:(X0)).
% 1.95/0.56 thf(func_def_67, type, db4: !>[X0: $tType]:(X0)).
% 1.95/0.56 thf(func_def_68, type, db3: !>[X0: $tType]:(X0)).
% 1.95/0.56 thf(func_def_69, type, db2: !>[X0: $tType]:(X0)).
% 1.95/0.56 thf(func_def_70, type, db1: !>[X0: $tType]:(X0)).
% 1.95/0.56 thf(func_def_71, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.95/0.56 thf(func_def_72, type, vOR: ($o > $o > $o)).
% 1.95/0.56 thf(func_def_73, type, vAND: ($o > $o > $o)).
% 1.95/0.56 thf(func_def_74, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.95/0.56 thf(func_def_75, type, vNOT: ($o > $o)).
% 1.95/0.56 thf(func_def_76, type, db6: !>[X0: $tType]:(X0)).
% 1.95/0.56 thf(func_def_77, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.95/0.56 thf(func_def_78, type, sP0: (extended_enat > extended_enat > extended_enat > $o)).
% 1.95/0.56 thf(func_def_79, type, sP1: (extended_enat > extended_enat > extended_enat > $o)).
% 1.95/0.56 thf(func_def_80, type, sP2: (extended_enat > extended_enat > extended_enat > $o)).
% 1.95/0.56 thf(func_def_81, type, sP3: (extended_enat > extended_enat > extended_enat > $o)).
% 1.95/0.56 thf(func_def_82, type, sP4: (extended_enat > extended_enat > extended_enat > $o)).
% 1.95/0.56 thf(func_def_83, type, sP5: (extended_enat > extended_enat > extended_enat > $o)).
% 1.95/0.56 thf(func_def_84, type, sP6: (extended_enat > extended_enat > extended_enat > $o)).
% 1.95/0.56 thf(func_def_85, type, sP7: (extended_enat > extended_enat > $o)).
% 1.95/0.56 thf(func_def_86, type, sK8: ((nat > $o) > nat)).
% 1.95/0.56 thf(func_def_87, type, sK9: ((nat > $o) > nat)).
% 1.95/0.56 thf(func_def_88, type, sK10: ((nat > $o) > nat)).
% 1.95/0.56 thf(func_def_89, type, sK11: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_90, type, sK12: ((nat > $o) > nat)).
% 1.95/0.56 thf(func_def_91, type, sK13: ((nat > nat > $o) > nat)).
% 1.95/0.56 thf(func_def_92, type, sK14: ((nat > nat > $o) > nat)).
% 1.95/0.56 thf(func_def_93, type, sK15: ((nat > nat > $o) > nat)).
% 1.95/0.56 thf(func_def_94, type, sK16: ((nat > nat > $o) > nat)).
% 1.95/0.56 thf(func_def_95, type, sK17: ((extended_enat > $o) > nat)).
% 1.95/0.56 thf(func_def_96, type, sK18: (extended_enat > extended_enat)).
% 1.95/0.56 thf(func_def_97, type, sK19: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat > X0))).
% 1.95/0.56 thf(func_def_98, type, sK20: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > X0))).
% 1.95/0.56 thf(func_def_99, type, sK21: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat))).
% 1.95/0.56 thf(func_def_100, type, sK22: (extended_enat > extended_enat)).
% 1.95/0.56 thf(func_def_101, type, sK23: ((nat > $o) > nat)).
% 1.95/0.56 thf(func_def_102, type, sK24: (extended_enat > extended_enat)).
% 1.95/0.56 thf(func_def_103, type, sK25: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 1.95/0.56 thf(func_def_104, type, sK26: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0))).
% 1.95/0.56 thf(func_def_105, type, sK27: ((nat > $o) > nat)).
% 1.95/0.56 thf(func_def_106, type, sK28: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 1.95/0.56 thf(func_def_107, type, sK29: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 1.95/0.56 thf(func_def_108, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.95/0.56 thf(func_def_109, type, sK31: (nat > nat)).
% 1.95/0.56 thf(func_def_110, type, sK32: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > X0))).
% 1.95/0.56 thf(func_def_111, type, sK33: !>[X0: $tType]:(((coindu1593790203_llist @ X0 > $o) > coindu1593790203_llist @ X0))).
% 1.95/0.56 thf(func_def_112, type, sK34: ((extended_enat > $o) > extended_enat)).
% 1.95/0.56 thf(func_def_113, type, sK35: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_114, type, sK36: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_115, type, sK37: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_116, type, sK38: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_117, type, sK39: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_118, type, sK40: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_119, type, sK41: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_120, type, sK42: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_121, type, sK43: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_122, type, sK44: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_123, type, sK45: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_124, type, sK46: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_125, type, sK47: (extended_enat > extended_enat)).
% 1.95/0.56 thf(func_def_126, type, sK48: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 1.95/0.56 thf(func_def_127, type, sK49: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 1.95/0.56 thf(func_def_128, type, sK50: ((nat > nat > $o) > nat)).
% 1.95/0.56 thf(func_def_129, type, sK51: ((nat > nat > $o) > nat)).
% 1.95/0.56 thf(func_def_130, type, sK52: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_131, type, sK53: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_132, type, sK54: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_133, type, sK55: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_134, type, sK56: (nat > nat)).
% 1.95/0.56 thf(func_def_135, type, sK57: ((extended_enat > $o) > extended_enat)).
% 1.95/0.56 thf(func_def_136, type, sK58: (nat > nat)).
% 1.95/0.56 thf(func_def_137, type, sK59: (nat > nat)).
% 1.95/0.56 thf(func_def_138, type, sK60: (extended_enat > extended_enat)).
% 1.95/0.56 thf(func_def_139, type, sK61: (extended_enat > nat)).
% 1.95/0.56 thf(func_def_140, type, sK62: (nat > extended_enat > nat)).
% 1.95/0.56 thf(func_def_141, type, sK63: (nat > extended_enat > nat)).
% 1.95/0.56 thf(func_def_142, type, sK64: (extended_enat > extended_enat)).
% 1.95/0.56 thf(func_def_143, type, sK65: !>[X0: $tType]:((coindu1593790203_llist @ X0 > X0))).
% 1.95/0.56 thf(func_def_144, type, sK66: !>[X0: $tType]:((coindu1593790203_llist @ X0 > coindu1593790203_llist @ X0))).
% 1.95/0.56 thf(f1,axiom,(
% 1.95/0.56 (((coindu1018505716length @ a @ xsa)) = ((extended_enat2 @ (suc @ na))))),
% 1.95/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_len)).
% 1.95/0.56 thf(f35,axiom,(
% 1.95/0.56 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0] : ((X1 != coindu1598213697e_LNil @ X0) => ~ ! [X2 : X0,X3 : coindu1593790203_llist @ X0] : (X1 != ((coindu1121789889_LCons @ X0 @ X2 @ X3))))),
% 1.95/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_llist_Oexhaust)).
% 1.95/0.56 thf(f55,axiom,(
% 1.95/0.56 ! [X0 : $tType] : (((coindu1018505716length @ X0 @ coindu1598213697e_LNil @ X0)) = zero_zero @ extended_enat)),
% 1.95/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_llength__LNil)).
% 1.95/0.56 thf(f91,axiom,(
% 1.95/0.56 ! [X0 : nat] : (zero_zero @ nat != ((suc @ X0)))),
% 1.95/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_Zero__neq__Suc)).
% 1.95/0.56 thf(f105,axiom,(
% 1.95/0.56 ! [X0 : nat] : ((X0 = zero_zero @ nat) = (zero_zero @ extended_enat = ((extended_enat2 @ X0))))),
% 1.95/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_enat__0__iff_I2_J)).
% 1.95/0.56 thf(f287,axiom,(
% 1.95/0.56 ! [X0 : a,X1 : coindu1593790203_llist @ a] : ((xsa = ((coindu1121789889_LCons @ a @ X0 @ X1))) => thesis)),
% 1.95/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.95/0.56 thf(f288,conjecture,(
% 1.95/0.56 thesis),
% 1.95/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 1.95/0.56 thf(f289,negated_conjecture,(
% 1.95/0.56 ~thesis),
% 1.95/0.56 inference(negated_conjecture,[status(cth)],[f288])).
% 1.95/0.56 thf(f304,plain,(
% 1.95/0.56 ! [X0 : nat] : ((((extended_enat2 @ X0) = zero_zero @ extended_enat)) = ((zero_zero @ nat = X0)))),
% 1.95/0.56 inference(fool_elimination,[],[f105])).
% 1.95/0.56 thf(f467,plain,(
% 1.95/0.56 ! [X0 : a,X1 : coindu1593790203_llist @ a] : ((xsa = ((coindu1121789889_LCons @ a @ X0 @ X1))) => thesis)),
% 1.95/0.56 inference(rectify,[],[f287])).
% 1.95/0.56 thf(f468,plain,(
% 1.95/0.56 ! [X1 : coindu1593790203_llist @ a,X0 : a] : ((xsa = ((coindu1121789889_LCons @ a @ X0 @ X1))) => (thesis = $true))),
% 1.95/0.56 inference(fool_elimination,[],[f467])).
% 1.95/0.56 thf(f640,plain,(
% 1.95/0.56 ~thesis),
% 1.95/0.56 inference(rectify,[],[f289])).
% 1.95/0.56 thf(f641,plain,(
% 1.95/0.56 ~ (thesis = $true)),
% 1.95/0.56 inference(fool_elimination,[],[f640])).
% 1.95/0.56 thf(f678,plain,(
% 1.95/0.56 (thesis != $true)),
% 1.95/0.56 inference(flattening,[],[f641])).
% 1.95/0.56 thf(f703,plain,(
% 1.95/0.56 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0] : (? [X3 : coindu1593790203_llist @ X0,X2 : X0] : (((coindu1121789889_LCons @ X0 @ X2 @ X3)) = X1) | (coindu1598213697e_LNil @ X0 = X1))),
% 1.95/0.56 inference(ennf_transformation,[],[f35])).
% 1.95/0.56 thf(f755,plain,(
% 1.95/0.56 ! [X1 : coindu1593790203_llist @ a,X0 : a] : ((thesis = $true) | (xsa != ((coindu1121789889_LCons @ a @ X0 @ X1))))),
% 1.95/0.56 inference(ennf_transformation,[],[f468])).
% 1.95/0.56 thf(f816,plain,(
% 1.95/0.56 ! [X0 : coindu1593790203_llist @ a,X1 : a] : ((thesis = $true) | (xsa != ((coindu1121789889_LCons @ a @ X1 @ X0))))),
% 1.95/0.56 inference(rectify,[],[f755])).
% 1.95/0.56 thf(f882,plain,(
% 1.95/0.56 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0] : (? [X2 : coindu1593790203_llist @ X0,X3 : X0] : (((coindu1121789889_LCons @ X0 @ X3 @ X2)) = X1) | (coindu1598213697e_LNil @ X0 = X1))),
% 1.95/0.56 inference(rectify,[],[f703])).
% 1.95/0.56 thf(f883,plain,(
% 1.95/0.56 ! [X0 : $tType,X1 : coindu1593790203_llist @ X0] : ((((coindu1121789889_LCons @ X0 @ (sK49 @ X0 @ X1) @ (sK48 @ X0 @ X1))) = X1) | (coindu1598213697e_LNil @ X0 = X1))),
% 1.95/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X1,sK8 @ X0),skolemize(X1,sK8 @ X0)],[f882])).
% 1.95/0.56 thf(f917,plain,(
% 1.95/0.56 ( ! [X0 : nat] : ((((suc @ X0)) != zero_zero @ nat)) )),
% 1.95/0.56 inference(cnf_transformation,[],[f91])).
% 1.95/0.56 thf(f936,plain,(
% 1.95/0.56 ( ! [X0 : coindu1593790203_llist @ a,X1 : a] : ((xsa != ((coindu1121789889_LCons @ a @ X1 @ X0))) | (thesis = $true)) )),
% 1.95/0.56 inference(cnf_transformation,[],[f816])).
% 1.95/0.56 thf(f956,plain,(
% 1.95/0.56 (((coindu1018505716length @ a @ xsa)) = ((extended_enat2 @ (suc @ na))))),
% 1.95/0.56 inference(cnf_transformation,[],[f1])).
% 1.95/0.56 thf(f958,plain,(
% 1.95/0.56 ( ! [X0 : $tType] : ((((coindu1018505716length @ X0 @ coindu1598213697e_LNil @ X0)) = zero_zero @ extended_enat)) )),
% 1.95/0.57 inference(cnf_transformation,[],[f55])).
% 1.95/0.57 thf(f1027,plain,(
% 1.95/0.57 (thesis != $true)),
% 1.95/0.57 inference(cnf_transformation,[],[f678])).
% 1.95/0.57 thf(f1090,plain,(
% 1.95/0.57 ( ! [X0 : $tType,X1 : coindu1593790203_llist @ X0] : ((((coindu1121789889_LCons @ X0 @ (sK49 @ X0 @ X1) @ (sK48 @ X0 @ X1))) = X1) | (coindu1598213697e_LNil @ X0 = X1)) )),
% 1.95/0.57 inference(cnf_transformation,[],[f883])).
% 1.95/0.57 thf(f1112,plain,(
% 1.95/0.57 ( ! [X0 : nat] : (((((extended_enat2 @ X0) = zero_zero @ extended_enat)) = ((zero_zero @ nat = X0)))) )),
% 1.95/0.57 inference(cnf_transformation,[],[f304])).
% 1.95/0.57 thf(f1229,plain,(
% 1.95/0.57 ( ! [X0 : nat] : ((((zero_zero @ nat = X0)) = $true) | ((((extended_enat2 @ X0) = zero_zero @ extended_enat)) = $false)) )),
% 1.95/0.57 inference(iff_proxy_clausification,[],[f1112])).
% 1.95/0.57 thf(f1230,plain,(
% 1.95/0.57 ( ! [X0 : nat] : ((zero_zero @ nat = X0) | ((((extended_enat2 @ X0) = zero_zero @ extended_enat)) = $false)) )),
% 1.95/0.57 inference(equality_proxy_clausification,[],[f1229])).
% 1.95/0.57 thf(f1231,plain,(
% 1.95/0.57 ( ! [X0 : nat] : ((((extended_enat2 @ X0)) != zero_zero @ extended_enat) | (zero_zero @ nat = X0)) )),
% 1.95/0.57 inference(equality_proxy_clausification,[],[f1230])).
% 1.95/0.57 thf(f1520,definition,(
% 1.95/0.57 spl67_1 <=> ! [X0 : coindu1593790203_llist @ a,X1 : a] : (xsa != ((coindu1121789889_LCons @ a @ X1 @ X0)))),
% 1.95/0.57 introduced(definition,[new_symbols(definition,[spl67_1])],[avatar_definition])).
% 1.95/0.57 thf(f1521,plain,(
% 1.95/0.57 ( ! [X0 : coindu1593790203_llist @ a,X1 : a] : ((xsa != ((coindu1121789889_LCons @ a @ X1 @ X0)))) ) | ~spl67_1),
% 1.95/0.57 inference(avatar_component_clause,[],[f1520])).
% 1.95/0.57 thf(f1523,definition,(
% 1.95/0.57 spl67_2 <=> (thesis = $true)),
% 1.95/0.57 introduced(definition,[new_symbols(definition,[spl67_2])],[avatar_definition])).
% 1.95/0.57 thf(f1526,plain,(
% 1.95/0.57 spl67_1 | spl67_2),
% 1.95/0.57 inference(avatar_split_clause,[],[f936,f1523,f1520])).
% 1.95/0.57 thf(f1527,plain,(
% 1.95/0.57 ~spl67_2),
% 1.95/0.57 inference(avatar_split_clause,[],[f1027,f1523])).
% 1.95/0.57 thf(f1724,plain,(
% 1.95/0.57 (((suc @ na)) = zero_zero @ nat) | (((coindu1018505716length @ a @ xsa)) != zero_zero @ extended_enat)),
% 1.95/0.57 inference(superposition,[],[f1231,f956])).
% 1.95/0.57 thf(f1725,plain,(
% 1.95/0.57 (((coindu1018505716length @ a @ xsa)) != zero_zero @ extended_enat)),
% 1.95/0.57 inference(forward_subsumption_resolution,[],[f1724,f917])).
% 1.95/0.57 thf(f4031,plain,(
% 1.95/0.57 ( ! [X0 : coindu1593790203_llist @ a] : ((xsa != X0) | (coindu1598213697e_LNil @ a = X0)) ) | ~spl67_1),
% 1.95/0.57 inference(superposition,[],[f1521,f1090])).
% 1.95/0.57 thf(f4037,plain,(
% 1.95/0.57 (xsa = coindu1598213697e_LNil @ a) | ~spl67_1),
% 1.95/0.57 inference(equality_resolution,[],[f4031])).
% 1.95/0.57 thf(f4044,plain,(
% 1.95/0.57 (((coindu1018505716length @ a @ xsa)) = zero_zero @ extended_enat) | ~spl67_1),
% 1.95/0.57 inference(superposition,[],[f958,f4037])).
% 1.95/0.57 thf(f4045,plain,(
% 1.95/0.57 $false | ~spl67_1),
% 1.95/0.57 inference(forward_subsumption_resolution,[],[f4044,f1725])).
% 1.95/0.57 thf(f4046,plain,(
% 1.95/0.57 ~spl67_1),
% 1.95/0.57 inference(avatar_contradiction_clause,[],[f4045])).
% 1.95/0.57 cnf(s1, plain, spl67_1 | spl67_2, inference(sat_conversion,[],[f1526])).
% 1.95/0.57 cnf(s2, plain, ~spl67_2, inference(sat_conversion,[],[f1527])).
% 1.95/0.57 cnf(s28, plain, ~spl67_1, inference(sat_conversion,[],[f4046])).
% 1.95/0.57 cnf(s35, plain, $false, inference(rat,[],[s1,s2,s28])).
% 1.95/0.57 thf(f4047,plain,(
% 1.95/0.57 $false),
% 1.95/0.57 inference(avatar_sat_refutation,[],[s35])).
% 1.95/0.57 % SZS output end Proof for theBenchmark
% 1.95/0.57 % (2001083)------------------------------
% 1.95/0.57 % (2001083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.95/0.57 % (2001083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.95/0.57 % (2001083)CaDiCaL version: 2.1.3
% 1.95/0.57 % (2001083)Termination reason: Refutation
% 1.95/0.57 % (2001083)Time elapsed: 0.161 s
% 1.95/0.57 % (2001083)Peak memory usage: 15 MB
% 1.95/0.57 % (2001083)Instructions burned: 310 (million)
% 1.95/0.57 % (2001042)Success in time 0.313 s
% 1.95/0.57 % Vampire exiting
%------------------------------------------------------------------------------