%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM197^1 : 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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:26 AM UTC 2026
% Result : Theorem 0.65s 0.50s
% Output : Refutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM197^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.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 17:53:52 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.23/0.28 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
% 0.65/0.43 % (1637363)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.65/0.43 % (1637369)lrs+10_16_si=on:nwc=1.5:random_seed=1418372159:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.65/0.43 % (1637374)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.65/0.43 % (1637374)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
% 0.65/0.43 % (1637369)Instruction limit reached!
% 0.65/0.43 % (1637369)------------------------------
% 0.65/0.43 % (1637369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.43 % (1637369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.43 % (1637369)CaDiCaL version: 2.1.3
% 0.65/0.43 % (1637369)Termination reason: Instruction limit
% 0.65/0.43 % (1637369)Termination phase: Property scanning
% 0.65/0.43 % (1637369)Time elapsed: 0.006 s
% 0.65/0.43 % (1637369)Peak memory usage: 10 MB
% 0.65/0.43 % (1637369)Instructions burned: 21 (million)
% 0.65/0.43 % (1637370)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3729595017:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.65/0.43 % (1637372)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3240811872:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.65/0.43 % (1637371)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=937152043: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)
% 0.65/0.43 % (1637373)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3090742684:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.65/0.43 % (1637374)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=2128863374:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.65/0.43 % (1637370)Instruction limit reached!
% 0.65/0.43 % (1637370)------------------------------
% 0.65/0.43 % (1637370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.43 % (1637370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.43 % (1637370)CaDiCaL version: 2.1.3
% 0.65/0.43 % (1637370)Termination reason: Instruction limit
% 0.65/0.43 % (1637370)Termination phase: shuffling
% 0.65/0.43 % (1637370)Time elapsed: 0.002 s
% 0.65/0.43 % (1637370)Peak memory usage: 10 MB
% 0.65/0.43 % (1637370)Instructions burned: 3 (million)
% 0.65/0.43 % (1637368)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1145149596:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.65/0.43 % (1637372)Instruction limit reached!
% 0.65/0.43 % (1637372)------------------------------
% 0.65/0.43 % (1637372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.43 % (1637372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.43 % (1637372)CaDiCaL version: 2.1.3
% 0.65/0.43 % (1637372)Termination reason: Instruction limit
% 0.65/0.43 % (1637372)Termination phase: Property scanning
% 0.65/0.43 % (1637372)Time elapsed: 0.013 s
% 0.65/0.43 % (1637372)Peak memory usage: 10 MB
% 0.65/0.43 % (1637372)Instructions burned: 26 (million)
% 0.65/0.43 % (1637382)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4046342268:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.65/0.43 % (1637382)Instruction limit reached!
% 0.65/0.43 % (1637382)------------------------------
% 0.65/0.43 % (1637382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.43 % (1637382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.43 % (1637382)CaDiCaL version: 2.1.3
% 0.65/0.43 % (1637382)Termination reason: Instruction limit
% 0.65/0.43 % (1637382)Termination phase: shuffling
% 0.65/0.43 % (1637382)Time elapsed: 0.003 s
% 0.65/0.43 % (1637382)Peak memory usage: 10 MB
% 0.65/0.43 % (1637382)Instructions burned: 6 (million)
% 0.65/0.43 % (1637368)Instruction limit reached!
% 0.65/0.43 % (1637368)------------------------------
% 0.65/0.43 % (1637368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.46 % (1637368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.46 % (1637368)CaDiCaL version: 2.1.3
% 0.65/0.46 % (1637368)Termination reason: Instruction limit
% 0.65/0.46 % (1637368)Termination phase: Property scanning
% 0.65/0.46 % (1637368)Time elapsed: 0.023 s
% 0.65/0.46 % (1637368)Peak memory usage: 12 MB
% 0.65/0.46 % (1637368)Instructions burned: 89 (million)
% 0.65/0.46 % (1637384)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.46 % (1637384)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3080711786:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.65/0.46 % (1637387)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
% 0.65/0.46 % (1637387)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.46 % (1637377)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2446757095:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.65/0.46 % (1637387)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=926767186:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.65/0.46 % (1637384)Instruction limit reached!
% 0.65/0.46 % (1637384)------------------------------
% 0.65/0.46 % (1637384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.46 % (1637384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.46 % (1637384)CaDiCaL version: 2.1.3
% 0.65/0.46 % (1637384)Termination reason: Instruction limit
% 0.65/0.46 % (1637384)Termination phase: shuffling
% 0.65/0.46 % (1637384)Time elapsed: 0.004 s
% 0.65/0.46 % (1637384)Peak memory usage: 10 MB
% 0.65/0.46 % (1637384)Instructions burned: 8 (million)
% 0.65/0.46 % (1637373)Instruction limit reached!
% 0.65/0.46 % (1637373)------------------------------
% 0.65/0.46 % (1637373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.46 % (1637373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.46 % (1637373)CaDiCaL version: 2.1.3
% 0.65/0.46 % (1637373)Termination reason: Instruction limit
% 0.65/0.46 % (1637373)Termination phase: Property scanning
% 0.65/0.46 % (1637373)Time elapsed: 0.038 s
% 0.65/0.46 % (1637373)Peak memory usage: 12 MB
% 0.65/0.46 % (1637373)Instructions burned: 76 (million)
% 0.65/0.46 % (1637377)Instruction limit reached!
% 0.65/0.46 % (1637377)------------------------------
% 0.65/0.46 % (1637377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.46 % (1637377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.46 % (1637377)CaDiCaL version: 2.1.3
% 0.65/0.46 % (1637377)Termination reason: Instruction limit
% 0.65/0.46 % (1637377)Termination phase: shuffling
% 0.65/0.46 % (1637377)Time elapsed: 0.005 s
% 0.65/0.46 % (1637377)Peak memory usage: 10 MB
% 0.65/0.46 % (1637377)Instructions burned: 4 (million)
% 0.65/0.46 % (1637386)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1881047557:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.65/0.46 % (1637387)Instruction limit reached!
% 0.65/0.46 % (1637387)------------------------------
% 0.65/0.46 % (1637387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.46 % (1637387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.46 % (1637387)CaDiCaL version: 2.1.3
% 0.65/0.46 % (1637387)Termination reason: Instruction limit
% 0.65/0.46 % (1637387)Termination phase: shuffling
% 0.65/0.46 % (1637387)Time elapsed: 0.008 s
% 0.65/0.46 % (1637387)Peak memory usage: 10 MB
% 0.65/0.46 % (1637387)Instructions burned: 32 (million)
% 0.65/0.46 % (1637386)Instruction limit reached!
% 0.65/0.46 % (1637386)------------------------------
% 0.65/0.46 % (1637386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.46 % (1637386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.46 % (1637386)CaDiCaL version: 2.1.3
% 0.65/0.46 % (1637386)Termination reason: Instruction limit
% 0.65/0.50 % (1637386)Termination phase: shuffling
% 0.65/0.50 % (1637386)Time elapsed: 0.007 s
% 0.65/0.50 % (1637386)Peak memory usage: 10 MB
% 0.65/0.50 % (1637386)Instructions burned: 13 (million)
% 0.65/0.50 % (1637394)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.65/0.50 % (1637394)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=3005725969:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.65/0.50 % (1637391)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=3173713968:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.65/0.50 % (1637392)lrs+10_1_si=on:cs=on:random_seed=3067575111:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.65/0.50 % (1637394)Instruction limit reached!
% 0.65/0.50 % (1637394)------------------------------
% 0.65/0.50 % (1637394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637394)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637394)Termination reason: Instruction limit
% 0.65/0.50 % (1637394)Termination phase: shuffling
% 0.65/0.50 % (1637394)Time elapsed: 0.001 s
% 0.65/0.50 % (1637394)Peak memory usage: 10 MB
% 0.65/0.50 % (1637394)Instructions burned: 5 (million)
% 0.65/0.50 % (1637392)Instruction limit reached!
% 0.65/0.50 % (1637392)------------------------------
% 0.65/0.50 % (1637392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637392)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637392)Termination reason: Instruction limit
% 0.65/0.50 % (1637392)Termination phase: shuffling
% 0.65/0.50 % (1637392)Time elapsed: 0.005 s
% 0.65/0.50 % (1637392)Peak memory usage: 10 MB
% 0.65/0.50 % (1637392)Instructions burned: 9 (million)
% 0.65/0.50 % (1637395)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=338881074:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.65/0.50 % (1637400)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3157644992:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.65/0.50 % (1637396)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2037219565:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.65/0.50 % (1637400)Instruction limit reached!
% 0.65/0.50 % (1637400)------------------------------
% 0.65/0.50 % (1637400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637400)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637400)Termination reason: Instruction limit
% 0.65/0.50 % (1637400)Termination phase: Property scanning
% 0.65/0.50 % (1637400)Time elapsed: 0.007 s
% 0.65/0.50 % (1637400)Peak memory usage: 10 MB
% 0.65/0.50 % (1637400)Instructions burned: 29 (million)
% 0.65/0.50 % (1637374)Instruction limit reached!
% 0.65/0.50 % (1637374)------------------------------
% 0.65/0.50 % (1637374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637374)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637374)Termination reason: Instruction limit
% 0.65/0.50 % (1637374)Termination phase: Saturation
% 0.65/0.50 % (1637374)Time elapsed: 0.077 s
% 0.65/0.50 % (1637374)Peak memory usage: 14 MB
% 0.65/0.50 % (1637374)Instructions burned: 157 (million)
% 0.65/0.50 % (1637401)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1323797937:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.65/0.50 % (1637405)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=759380356:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.65/0.50 % (1637395)Instruction limit reached!
% 0.65/0.50 % (1637395)------------------------------
% 0.65/0.50 % (1637395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637395)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637395)Termination reason: Instruction limit
% 0.65/0.50 % (1637395)Termination phase: Clausification
% 0.65/0.50 % (1637395)Time elapsed: 0.019 s
% 0.65/0.50 % (1637395)Peak memory usage: 11 MB
% 0.65/0.50 % (1637395)Instructions burned: 39 (million)
% 0.65/0.50 % (1637401)Instruction limit reached!
% 0.65/0.50 % (1637401)------------------------------
% 0.65/0.50 % (1637401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637401)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637401)Termination reason: Instruction limit
% 0.65/0.50 % (1637401)Termination phase: shuffling
% 0.65/0.50 % (1637401)Time elapsed: 0.008 s
% 0.65/0.50 % (1637401)Peak memory usage: 10 MB
% 0.65/0.50 % (1637401)Instructions burned: 16 (million)
% 0.65/0.50 % (1637396)Refutation not found, incomplete strategy
% 0.65/0.50 % (1637396)------------------------------
% 0.65/0.50 % (1637396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637396)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637396)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.50 % (1637396)Time elapsed: 0.022 s
% 0.65/0.50 % (1637396)Peak memory usage: 13 MB
% 0.65/0.50 % (1637396)Instructions burned: 44 (million)
% 0.65/0.50 % (1637396)------------------------------
% 0.65/0.50 % (1637396)------------------------------
% 0.65/0.50 % (1637406)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2708960604:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.65/0.50 % (1637391)Instruction limit reached!
% 0.65/0.50 % (1637391)------------------------------
% 0.65/0.50 % (1637391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637391)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637391)Termination reason: Instruction limit
% 0.65/0.50 % (1637391)Termination phase: Preprocessing 1
% 0.65/0.50 % (1637391)Time elapsed: 0.039 s
% 0.65/0.50 % (1637391)Peak memory usage: 11 MB
% 0.65/0.50 % (1637391)Instructions burned: 88 (million)
% 0.65/0.50 % (1637406)Instruction limit reached!
% 0.65/0.50 % (1637406)------------------------------
% 0.65/0.50 % (1637406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637406)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637406)Termination reason: Instruction limit
% 0.65/0.50 % (1637406)Termination phase: shuffling
% 0.65/0.50 % (1637406)Time elapsed: 0.007 s
% 0.65/0.50 % (1637406)Peak memory usage: 10 MB
% 0.65/0.50 % (1637406)Instructions burned: 15 (million)
% 0.65/0.50 % (1637409)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2057468069: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)
% 0.65/0.50 % (1637410)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4260241718:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.65/0.50 % (1637409)Instruction limit reached!
% 0.65/0.50 % (1637409)------------------------------
% 0.65/0.50 % (1637409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637409)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637409)Termination reason: Instruction limit
% 0.65/0.50 % (1637409)Termination phase: shuffling
% 0.65/0.50 % (1637409)Time elapsed: 0.003 s
% 0.65/0.50 % (1637409)Peak memory usage: 10 MB
% 0.65/0.50 % (1637409)Instructions burned: 4 (million)
% 0.65/0.50 % (1637411)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1954794571:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.65/0.50 % (1637413)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=844159550:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.65/0.50 % (1637414)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.65/0.50 % (1637414)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.65/0.50 % (1637414)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=3384477590:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.65/0.50 % (1637410)Instruction limit reached!
% 0.65/0.50 % (1637410)------------------------------
% 0.65/0.50 % (1637410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637410)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637410)Termination reason: Instruction limit
% 0.65/0.50 % (1637410)Termination phase: shuffling
% 0.65/0.50 % (1637410)Time elapsed: 0.013 s
% 0.65/0.50 % (1637410)Peak memory usage: 10 MB
% 0.65/0.50 % (1637410)Instructions burned: 28 (million)
% 0.65/0.50 % (1637411)Instruction limit reached!
% 0.65/0.50 % (1637411)------------------------------
% 0.65/0.50 % (1637411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637411)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637411)Termination reason: Instruction limit
% 0.65/0.50 % (1637411)Termination phase: Property scanning
% 0.65/0.50 % (1637411)Time elapsed: 0.012 s
% 0.65/0.50 % (1637411)Peak memory usage: 10 MB
% 0.65/0.50 % (1637411)Instructions burned: 24 (million)
% 0.65/0.50 % (1637414)Instruction limit reached!
% 0.65/0.50 % (1637414)------------------------------
% 0.65/0.50 % (1637414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637414)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637414)Termination reason: Instruction limit
% 0.65/0.50 % (1637414)Termination phase: shuffling
% 0.65/0.50 % (1637414)Time elapsed: 0.007 s
% 0.65/0.50 % (1637414)Peak memory usage: 10 MB
% 0.65/0.50 % (1637414)Instructions burned: 15 (million)
% 0.65/0.50 % (1637417)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.65/0.50 % (1637421)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=4191033568:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.65/0.50 % (1637422)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=71729626:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.65/0.50 % (1637417)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=1647216934:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.65/0.50 % (1637413)Instruction limit reached!
% 0.65/0.50 % (1637413)------------------------------
% 0.65/0.50 % (1637413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637413)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637413)Termination reason: Instruction limit
% 0.65/0.50 % (1637413)Termination phase: Preprocessing 3
% 0.65/0.50 % (1637413)Time elapsed: 0.030 s
% 0.65/0.50 % (1637413)Peak memory usage: 11 MB
% 0.65/0.50 % (1637413)Instructions burned: 62 (million)
% 0.65/0.50 % (1637422)Instruction limit reached!
% 0.65/0.50 % (1637422)------------------------------
% 0.65/0.50 % (1637422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637422)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637422)Termination reason: Instruction limit
% 0.65/0.50 % (1637422)Termination phase: shuffling
% 0.65/0.50 % (1637422)Time elapsed: 0.004 s
% 0.65/0.50 % (1637422)Peak memory usage: 10 MB
% 0.65/0.50 % (1637422)Instructions burned: 8 (million)
% 0.65/0.50 % (1637423)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2186062544:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.65/0.50 % (1637405) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1637363-1637405"...
% 0.65/0.50 % (1637417)Instruction limit reached!
% 0.65/0.50 % (1637417)------------------------------
% 0.65/0.50 % (1637417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637417)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637417)Termination reason: Instruction limit
% 0.65/0.50 % (1637417)Termination phase: shuffling
% 0.65/0.50 % (1637417)Time elapsed: 0.009 s
% 0.65/0.50 % (1637417)Peak memory usage: 10 MB
% 0.65/0.50 % (1637417)Instructions burned: 9 (million)
% 0.65/0.50 % (1637405)...printing done.
% 0.65/0.50 % (1637405)Refutation found. Thanks to Tanya!
% 0.65/0.50 % SZS status Theorem for theBenchmark
% 0.65/0.50 % SZS output start Proof for theBenchmark
% 0.65/0.50 thf(type_def_5, type, treeFI: $tType > $tType).
% 0.65/0.50 thf(type_def_6, type, stream: $tType > $tType).
% 0.65/0.50 thf(type_def_7, type, list: $tType > $tType).
% 0.65/0.50 thf(type_def_8, type, set: $tType > $tType).
% 0.65/0.50 thf(type_def_9, type, nat: $tType).
% 0.65/0.50 thf(type_def_10, type, itself: $tType > $tType).
% 0.65/0.50 thf(type_def_11, type, a: $tType).
% 0.65/0.50 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.65/0.50 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.65/0.50 thf(func_def_1, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.65/0.50 thf(func_def_2, type, semilattice_sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.65/0.50 thf(func_def_3, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 0.65/0.50 thf(func_def_4, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 0.65/0.50 thf(func_def_5, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.65/0.50 thf(func_def_6, type, koenig488553731niteTr: !>[X0: $tType]:((treeFI @ X0 > $o))).
% 0.65/0.50 thf(func_def_7, type, koenig1103336060igPath: !>[X0: $tType]:((treeFI @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_8, type, koenig1755522246erPath: !>[X0: $tType]:((stream @ X0 > treeFI @ X0 > $o))).
% 0.65/0.50 thf(func_def_9, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.65/0.50 thf(func_def_10, type, lattic477160up_fin: !>[X0: $tType]:((set @ X0 > X0))).
% 0.65/0.50 thf(func_def_11, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_12, type, coset: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 0.65/0.50 thf(func_def_13, type, fold: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 0.65/0.50 thf(func_def_14, type, foldr: !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > list @ X0 > X1 > X1))).
% 0.65/0.50 thf(func_def_15, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_16, type, linorder_insort_key: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_17, type, linorder_sorted: !>[X0: $tType]:((list @ X0 > $o))).
% 0.65/0.50 thf(func_def_18, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_19, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.65/0.50 thf(func_def_20, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 0.65/0.50 thf(func_def_21, type, list_all: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 0.65/0.50 thf(func_def_22, type, map: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 0.65/0.50 thf(func_def_23, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 0.65/0.50 thf(func_def_24, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_25, type, list_update: !>[X0: $tType]:((list @ X0 > nat > X0 > list @ X0))).
% 0.65/0.50 thf(func_def_26, type, member: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 0.65/0.50 thf(func_def_27, type, remove1: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_28, type, rev: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_29, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_30, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.65/0.50 thf(func_def_31, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.65/0.50 thf(func_def_32, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.65/0.50 thf(func_def_33, type, insert2: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.65/0.50 thf(func_def_34, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.65/0.50 thf(func_def_35, type, cycle: !>[X0: $tType]:((list @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_36, type, flat: !>[X0: $tType]:((stream @ list @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_37, type, sdrop_while: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_38, type, sfilter: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_39, type, shift: !>[X0: $tType]:((list @ X0 > stream @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_40, type, sinterleave: !>[X0: $tType]:((stream @ X0 > stream @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_41, type, smap2: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > stream @ X0 > stream @ X1 > stream @ X2))).
% 0.65/0.50 thf(func_def_42, type, smember: !>[X0: $tType]:((X0 > stream @ X0 > $o))).
% 0.65/0.50 thf(func_def_43, type, stake: !>[X0: $tType]:((nat > stream @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_44, type, sCons: !>[X0: $tType]:((X0 > stream @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_45, type, case_stream: !>[X0: $tType, X1: $tType]:(((X0 > stream @ X0 > X1) > stream @ X0 > X1))).
% 0.65/0.50 thf(func_def_46, type, corec_stream: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X0 > stream @ X1) > (X0 > X0) > X0 > stream @ X1))).
% 0.65/0.50 thf(func_def_47, type, pred_stream: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > $o))).
% 0.65/0.50 thf(func_def_48, type, shd: !>[X0: $tType]:((stream @ X0 > X0))).
% 0.65/0.50 thf(func_def_49, type, smap: !>[X0: $tType, X1: $tType]:(((X0 > X1) > stream @ X0 > stream @ X1))).
% 0.65/0.50 thf(func_def_50, type, sset: !>[X0: $tType]:((stream @ X0 > set @ X0))).
% 0.65/0.50 thf(func_def_51, type, stl: !>[X0: $tType]:((stream @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_52, type, stream_all: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > $o))).
% 0.65/0.50 thf(func_def_53, type, streams: !>[X0: $tType]:((set @ X0 > set @ stream @ X0))).
% 0.65/0.50 thf(func_def_54, type, tree: !>[X0: $tType]:((X0 > list @ treeFI @ X0 > treeFI @ X0))).
% 0.65/0.50 thf(func_def_55, type, case_treeFI: !>[X0: $tType, X1: $tType]:(((X0 > list @ treeFI @ X0 > X1) > treeFI @ X0 > X1))).
% 0.65/0.50 thf(func_def_56, type, lab: !>[X0: $tType]:((treeFI @ X0 > X0))).
% 0.65/0.50 thf(func_def_57, type, map_treeFI: !>[X0: $tType, X1: $tType]:(((X0 > X1) > treeFI @ X0 > treeFI @ X1))).
% 0.65/0.50 thf(func_def_58, type, pred_treeFI: !>[X0: $tType]:(((X0 > $o) > treeFI @ X0 > $o))).
% 0.65/0.50 thf(func_def_59, type, set_treeFI: !>[X0: $tType]:((treeFI @ X0 > set @ X0))).
% 0.65/0.50 thf(func_def_60, type, sub: !>[X0: $tType]:((treeFI @ X0 > list @ treeFI @ X0))).
% 0.65/0.50 thf(func_def_61, type, trev: !>[X0: $tType]:((treeFI @ X0 > treeFI @ X0))).
% 0.65/0.50 thf(func_def_62, type, member2: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.65/0.50 thf(func_def_63, type, as: stream @ a).
% 0.65/0.50 thf(func_def_64, type, phi: (stream @ a > treeFI @ a > $o)).
% 0.65/0.50 thf(func_def_65, type, tr: treeFI @ a).
% 0.65/0.50 thf(func_def_67, type, vNOT: ($o > $o)).
% 0.65/0.50 thf(func_def_70, type, db1: !>[X0: $tType]:(X0)).
% 0.65/0.50 thf(func_def_71, type, db0: !>[X0: $tType]:(X0)).
% 0.65/0.50 thf(func_def_72, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.65/0.50 thf(func_def_73, type, db2: !>[X0: $tType]:(X0)).
% 0.65/0.50 thf(func_def_74, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.65/0.50 thf(func_def_75, type, vAND: ($o > $o > $o)).
% 0.65/0.50 thf(func_def_76, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.65/0.50 thf(func_def_77, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.65/0.50 thf(func_def_78, type, vIMP: ($o > $o > $o)).
% 0.65/0.50 thf(func_def_79, type, vOR: ($o > $o > $o)).
% 0.65/0.50 thf(func_def_80, type, db3: !>[X0: $tType]:(X0)).
% 0.65/0.50 thf(func_def_81, type, db4: !>[X0: $tType]:(X0)).
% 0.65/0.50 thf(func_def_82, type, sK0: !>[X0: $tType]:(((treeFI @ X0 > $o) > treeFI @ X0))).
% 0.65/0.50 thf(func_def_83, type, sK1: !>[X0: $tType]:((list @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_84, type, sK2: !>[X0: $tType]:((treeFI @ X0 > treeFI @ X0))).
% 0.65/0.50 thf(func_def_85, type, sK3: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.65/0.50 thf(func_def_86, type, sK4: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.65/0.50 thf(func_def_87, type, sK5: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.65/0.50 thf(func_def_88, type, sK6: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_89, type, sK7: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.65/0.50 thf(func_def_90, type, sK8: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_91, type, sK9: !>[X0: $tType]:(((treeFI @ X0 > $o) > treeFI @ X0))).
% 0.65/0.50 thf(func_def_92, type, sK10: !>[X0: $tType]:(((stream @ X0 > treeFI @ X0 > $o) > treeFI @ X0))).
% 0.65/0.50 thf(func_def_93, type, sK11: !>[X0: $tType]:(((stream @ X0 > treeFI @ X0 > $o) > stream @ X0))).
% 0.65/0.50 thf(func_def_94, type, sK12: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > stream @ X0))).
% 0.65/0.50 thf(func_def_95, type, sK13: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_96, type, sK14: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > stream @ X0))).
% 0.65/0.50 thf(func_def_97, type, sK15: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_98, type, sK16: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.65/0.50 thf(func_def_99, type, sK17: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.65/0.50 thf(func_def_100, type, sK18: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_101, type, sK19: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_102, type, sK20: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_103, type, sK21: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_104, type, sK22: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_105, type, sK23: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_106, type, sK24: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > X1))).
% 0.65/0.50 thf(func_def_107, type, sK25: !>[X0: $tType, X1: $tType]:((treeFI @ X1 > treeFI @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 0.65/0.50 thf(func_def_108, type, sK26: !>[X0: $tType, X1: $tType]:((treeFI @ X1 > treeFI @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 0.65/0.50 thf(func_def_109, type, sK27: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.65/0.50 thf(func_def_110, type, sK28: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_111, type, sK29: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.65/0.50 thf(func_def_112, type, sK30: !>[X0: $tType]:((X0 > stream @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_113, type, sK31: !>[X0: $tType]:((X0 > stream @ X0 > X0))).
% 0.65/0.50 thf(func_def_114, type, sK32: !>[X0: $tType]:((X0 > stream @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_115, type, sK33: !>[X0: $tType, X1: $tType]:(((X0 > X1) > stream @ X0 > (X0 > X1) > stream @ X0 > X0))).
% 0.65/0.50 thf(func_def_116, type, sK34: !>[X0: $tType, X1: $tType]:(((X0 > X1) > stream @ X0 > (X0 > X1) > stream @ X0 > X0))).
% 0.65/0.50 thf(func_def_117, type, sK35: !>[X0: $tType]:((treeFI @ X0 > treeFI @ X0))).
% 0.65/0.50 thf(func_def_118, type, sK36: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X1 > (X1 > X0) > X1))).
% 0.65/0.50 thf(func_def_119, type, sK37: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > list @ X1 > (X1 > X0) > X1))).
% 0.65/0.50 thf(func_def_120, type, sK38: !>[X0: $tType, X1: $tType]:((list @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 0.65/0.50 thf(func_def_121, type, sK39: !>[X0: $tType]:(((treeFI @ X0 > $o) > treeFI @ X0))).
% 0.65/0.50 thf(func_def_122, type, sK40: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.65/0.50 thf(func_def_123, type, sK41: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.65/0.50 thf(func_def_124, type, sK42: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.65/0.50 thf(func_def_125, type, sK43: !>[X0: $tType]:(((X0 > $o) > treeFI @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_126, type, sK44: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.65/0.50 thf(func_def_127, type, sK45: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.65/0.50 thf(func_def_128, type, sK46: !>[X0: $tType]:((X0 > treeFI @ X0 > list @ treeFI @ X0))).
% 0.65/0.50 thf(func_def_129, type, sK47: !>[X0: $tType]:((X0 > treeFI @ X0 > X0))).
% 0.65/0.50 thf(func_def_130, type, sK48: !>[X0: $tType]:((X0 > treeFI @ X0 > list @ treeFI @ X0))).
% 0.65/0.50 thf(func_def_131, type, sK49: !>[X0: $tType]:((X0 > treeFI @ X0 > treeFI @ X0))).
% 0.65/0.50 thf(func_def_132, type, sK50: !>[X0: $tType, X1: $tType]:((treeFI @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 0.65/0.50 thf(func_def_133, type, sK51: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > treeFI @ X0 > X0))).
% 0.65/0.50 thf(func_def_134, type, sK52: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.65/0.50 thf(func_def_135, type, sK53: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.65/0.50 thf(func_def_136, type, sK54: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 0.65/0.50 thf(func_def_137, type, sK55: !>[X0: $tType, X1: $tType]:((treeFI @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 0.65/0.50 thf(func_def_138, type, sK56: !>[X0: $tType]:(((stream @ X0 > $o) > set @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_139, type, sK57: (treeFI @ a > stream @ a > treeFI @ a)).
% 0.65/0.50 thf(func_def_140, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > list @ X1 > X1))).
% 0.65/0.50 thf(func_def_141, type, sK59: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_142, type, sK60: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.65/0.50 thf(func_def_143, type, sK61: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.65/0.50 thf(func_def_144, type, sK62: !>[X0: $tType]:(((stream @ X0 > stream @ X0 > $o) > stream @ X0))).
% 0.65/0.50 thf(func_def_145, type, sK63: !>[X0: $tType]:(((stream @ X0 > stream @ X0 > $o) > stream @ X0))).
% 0.65/0.50 thf(func_def_146, type, sK64: !>[X0: $tType]:((treeFI @ X0 > list @ treeFI @ X0))).
% 0.65/0.50 thf(func_def_147, type, sK65: !>[X0: $tType]:((treeFI @ X0 > X0))).
% 0.65/0.50 thf(func_def_148, type, sK66: !>[X0: $tType]:((stream @ X0 > set @ X0 > X0))).
% 0.65/0.50 thf(func_def_149, type, sK67: !>[X0: $tType]:((stream @ X0 > set @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_150, type, sK68: !>[X0: $tType]:((stream @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_151, type, sK69: !>[X0: $tType]:((stream @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_152, type, sK70: !>[X0: $tType]:((stream @ X0 > X0))).
% 0.65/0.50 thf(func_def_153, type, sK71: !>[X0: $tType, X1: $tType]:(((X0 > X1) > stream @ X0 > (X0 > X1) > X0))).
% 0.65/0.50 thf(func_def_154, type, sK72: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_155, type, sK73: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 0.65/0.50 thf(func_def_156, type, sK74: !>[X0: $tType]:(((stream @ X0 > stream @ X0 > $o) > stream @ X0))).
% 0.65/0.50 thf(func_def_157, type, sK75: !>[X0: $tType]:(((stream @ X0 > stream @ X0 > $o) > stream @ X0))).
% 0.65/0.50 thf(func_def_158, type, sK76: !>[X0: $tType]:(((X0 > X0) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_159, type, sK77: !>[X0: $tType, X1: $tType]:(((X0 > X1) > stream @ X0 > (X0 > X1) > X0))).
% 0.65/0.50 thf(func_def_160, type, sK78: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_161, type, sK79: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > stream @ X0))).
% 0.65/0.50 thf(func_def_162, type, sK80: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_163, type, sK81: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_164, type, sK82: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_165, type, sK83: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > stream @ X0))).
% 0.65/0.50 thf(func_def_166, type, sK84: !>[X0: $tType]:(((X0 > treeFI @ X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_167, type, sK85: !>[X0: $tType]:(((X0 > treeFI @ X0 > $o) > list @ treeFI @ X0))).
% 0.65/0.50 thf(func_def_168, type, sK86: !>[X0: $tType]:(((X0 > treeFI @ X0 > $o) > treeFI @ X0))).
% 0.65/0.50 thf(func_def_169, type, sK87: !>[X0: $tType]:(((X0 > treeFI @ X0 > $o) > list @ treeFI @ X0))).
% 0.65/0.50 thf(func_def_170, type, sK88: !>[X0: $tType]:(((X0 > treeFI @ X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_171, type, sK89: !>[X0: $tType]:(((X0 > treeFI @ X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_172, type, sK90: !>[X0: $tType]:((stream @ X0 > treeFI @ X0 > treeFI @ X0))).
% 0.65/0.50 thf(func_def_173, type, sK91: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > X0) > stream @ X1 > X0))).
% 0.65/0.50 thf(func_def_174, type, sK92: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > X0) > stream @ X1 > X1))).
% 0.65/0.50 thf(func_def_175, type, sK93: !>[X0: $tType]:((stream @ X0 > X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_176, type, sK94: !>[X0: $tType]:((stream @ X0 > X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_177, type, sK95: !>[X0: $tType]:((stream @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_178, type, sK96: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_179, type, sK97: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_180, type, sK98: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_181, type, sK99: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > X0))).
% 0.65/0.50 thf(func_def_182, type, sK100: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1) > X1))).
% 0.65/0.50 thf(func_def_183, type, sK101: !>[X0: $tType, X1: $tType]:((list @ X1 > (X0 > X1) > list @ X0))).
% 0.65/0.50 thf(func_def_184, type, sK102: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_185, type, sK103: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_186, type, sK104: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_187, type, sK105: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_188, type, sK106: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_189, type, sK107: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1) > (X1 > $o) > X0))).
% 0.65/0.50 thf(func_def_190, type, sK108: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1) > (X1 > $o) > X1))).
% 0.65/0.50 thf(func_def_191, type, sK109: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > X0))).
% 0.65/0.50 thf(func_def_192, type, sK110: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_193, type, sK111: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_194, type, sK112: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_195, type, sK113: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_196, type, sK114: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_197, type, sK115: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_198, type, sK116: !>[X0: $tType, X1: $tType]:((treeFI @ X1 > (X0 > $o) > (X1 > X0) > X0))).
% 0.65/0.50 thf(func_def_199, type, sK117: !>[X0: $tType, X1: $tType]:((treeFI @ X1 > (X0 > $o) > (X1 > X0) > X1))).
% 0.65/0.50 thf(func_def_200, type, sK118: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > X0))).
% 0.65/0.50 thf(func_def_201, type, sK119: !>[X0: $tType]:((stream @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_202, type, sK120: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_203, type, sK121: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_204, type, sK122: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_205, type, sK123: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_206, type, sK124: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_207, type, sK125: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.65/0.50 thf(func_def_208, type, sK126: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 0.65/0.50 thf(func_def_209, type, sK127: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_210, type, sK128: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_211, type, sK129: !>[X0: $tType]:(((X0 > $o) > treeFI @ X0 > X0))).
% 0.65/0.50 thf(func_def_212, type, sK130: !>[X0: $tType]:(((X0 > $o) > treeFI @ X0 > X0))).
% 0.65/0.50 thf(func_def_213, type, sK131: !>[X0: $tType]:(((X0 > $o) > treeFI @ X0 > X0))).
% 0.65/0.50 thf(func_def_214, type, sK132: !>[X0: $tType]:(((X0 > $o) > treeFI @ X0 > X0))).
% 0.65/0.50 thf(func_def_215, type, sK133: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_216, type, sK134: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_217, type, sK135: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > X0))).
% 0.65/0.50 thf(func_def_218, type, sK136: !>[X0: $tType]:((stream @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_219, type, sK137: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > X0))).
% 0.65/0.50 thf(func_def_220, type, sK138: !>[X0: $tType]:((stream @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_221, type, sK139: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.65/0.50 thf(func_def_222, type, sK140: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.65/0.50 thf(func_def_223, type, sK141: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_224, type, sK142: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_225, type, sK143: !>[X0: $tType]:((set @ X0 > list @ X0 > X0))).
% 0.65/0.50 thf(func_def_226, type, sK144: !>[X0: $tType]:(((X0 > $o) > treeFI @ X0 > X0))).
% 0.65/0.50 thf(func_def_227, type, sK145: !>[X0: $tType]:(((X0 > $o) > treeFI @ X0 > X0))).
% 0.65/0.50 thf(func_def_228, type, sK146: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 0.65/0.50 thf(func_def_229, type, sK147: !>[X0: $tType]:((treeFI @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_230, type, sK148: !>[X0: $tType]:((treeFI @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_231, type, sK149: !>[X0: $tType]:((X0 > (X0 > $o) > list @ treeFI @ X0 > X0))).
% 0.65/0.50 thf(func_def_232, type, sK150: !>[X0: $tType]:((X0 > (X0 > $o) > list @ treeFI @ X0 > X0))).
% 0.65/0.50 thf(func_def_233, type, sK151: !>[X0: $tType]:((list @ treeFI @ X0 > (X0 > $o) > treeFI @ X0))).
% 0.65/0.50 thf(func_def_234, type, sK152: !>[X0: $tType]:((list @ treeFI @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_235, type, sK153: !>[X0: $tType]:((set @ X0 > stream @ X0 > stream @ X0))).
% 0.65/0.50 thf(func_def_236, type, sK154: !>[X0: $tType]:((set @ X0 > stream @ X0 > X0))).
% 0.65/0.50 thf(func_def_237, type, sK155: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > X0))).
% 0.65/0.50 thf(func_def_238, type, sK156: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_239, type, sK157: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 0.65/0.50 thf(func_def_240, type, sK158: !>[X0: $tType]:((treeFI @ X0 > (X0 > $o) > X0))).
% 0.65/0.50 thf(func_def_241, type, sK159: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > X0))).
% 0.65/0.50 thf(func_def_242, type, sK160: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.65/0.50 thf(func_def_243, type, sK161: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 0.65/0.50 thf(f1,axiom,(
% 0.65/0.50 ! [X5 : treeFI @ a,X4 : stream @ a] : ((phi @ X4 @ X5) => ? [X6 : treeFI @ a] : ((member2 @ treeFI @ a @ X6 @ (set2 @ treeFI @ a @ (sub @ a @ X5))) & ((koenig1755522246erPath @ a @ (stl @ a @ X4) @ X6) | (phi @ (stl @ a @ X4) @ X6))))),
% 0.65/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__C_K_K_K_C)).
% 0.65/0.50 thf(f2,axiom,(
% 0.65/0.50 (phi @ as @ tr)),
% 0.65/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__C_K_C)).
% 0.65/0.50 thf(f6,axiom,(
% 0.65/0.50 ! [X0 : $tType,X3 : treeFI @ X0,X2 : stream @ X0,X1 : (stream @ X0 > treeFI @ X0 > $o)] : ((X1 @ X2 @ X3) => (! [X4 : stream @ X0,X5 : treeFI @ X0] : ((X1 @ X4 @ X5) => ? [X8 : treeFI @ X0,X7 : treeFI @ X0,X6 : stream @ X0] : ((((shd @ X0 @ X6)) = ((lab @ X0 @ X7))) & ((koenig1755522246erPath @ X0 @ (stl @ X0 @ X6) @ X8) | (X1 @ (stl @ X0 @ X6) @ X8)) & (member2 @ treeFI @ X0 @ X8 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ X7))) & (X5 = X7) & (X4 = X6))) => (koenig1755522246erPath @ X0 @ X2 @ X3)))),
% 0.65/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_properPath_Ocoinduct)).
% 0.65/0.50 thf(f7,axiom,(
% 0.65/0.50 ! [X0 : stream @ a,X1 : treeFI @ a] : ((phi @ X0 @ X1) => (((shd @ a @ X0)) = ((lab @ a @ X1))))),
% 0.65/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__C_K_K_C)).
% 0.65/0.50 thf(f264,conjecture,(
% 0.65/0.50 (koenig1755522246erPath @ a @ as @ tr)),
% 0.65/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.65/0.50 thf(f265,negated_conjecture,(
% 0.65/0.50 ~(koenig1755522246erPath @ a @ as @ tr)),
% 0.65/0.50 inference(negated_conjecture,[status(cth)],[f264])).
% 0.65/0.50 thf(f298,plain,(
% 0.65/0.50 ! [X0 : stream @ a,X1 : treeFI @ a] : ((phi @ X0 @ X1) => (((shd @ a @ X0)) = ((lab @ a @ X1))))),
% 0.65/0.50 inference(rectify,[],[f7])).
% 0.65/0.50 thf(f299,plain,(
% 0.65/0.50 ! [X0 : stream @ a,X1 : treeFI @ a] : ((((phi @ X0 @ X1)) = $true) => (((shd @ a @ X0)) = ((lab @ a @ X1))))),
% 0.65/0.50 inference(fool_elimination,[],[f298])).
% 0.65/0.50 thf(f384,plain,(
% 0.65/0.50 (phi @ as @ tr)),
% 0.65/0.50 inference(rectify,[],[f2])).
% 0.65/0.50 thf(f385,plain,(
% 0.65/0.50 (((phi @ as @ tr)) = $true)),
% 0.65/0.50 inference(fool_elimination,[],[f384])).
% 0.65/0.50 thf(f396,plain,(
% 0.65/0.50 ! [X0 : treeFI @ a,X1 : stream @ a] : ((phi @ X1 @ X0) => ? [X2 : treeFI @ a] : ((member2 @ treeFI @ a @ X2 @ (set2 @ treeFI @ a @ (sub @ a @ X0))) & ((koenig1755522246erPath @ a @ (stl @ a @ X1) @ X2) | (phi @ (stl @ a @ X1) @ X2))))),
% 0.65/0.50 inference(rectify,[],[f1])).
% 0.65/0.50 thf(f397,plain,(
% 0.65/0.50 ! [X1 : stream @ a,X0 : treeFI @ a] : ((((phi @ X1 @ X0)) = $true) => ? [X2 : treeFI @ a] : (($true = ((member2 @ treeFI @ a @ X2 @ (set2 @ treeFI @ a @ (sub @ a @ X0))))) & ((((koenig1755522246erPath @ a @ (stl @ a @ X1) @ X2)) = $true) | ($true = ((phi @ (stl @ a @ X1) @ X2))))))),
% 0.65/0.50 inference(fool_elimination,[],[f396])).
% 0.65/0.50 thf(f430,plain,(
% 0.65/0.50 ~(koenig1755522246erPath @ a @ as @ tr)),
% 0.65/0.50 inference(rectify,[],[f265])).
% 0.65/0.50 thf(f431,plain,(
% 0.65/0.50 ~ (((koenig1755522246erPath @ a @ as @ tr)) = $true)),
% 0.65/0.50 inference(fool_elimination,[],[f430])).
% 0.65/0.50 thf(f480,plain,(
% 0.65/0.50 ! [X0 : $tType,X1 : treeFI @ X0,X2 : stream @ X0,X3 : (stream @ X0 > treeFI @ X0 > $o)] : ((X3 @ X2 @ X1) => (! [X4 : stream @ X0,X5 : treeFI @ X0] : ((X3 @ X4 @ X5) => ? [X6 : treeFI @ X0,X7 : treeFI @ X0,X8 : stream @ X0] : ((((lab @ X0 @ X7)) = ((shd @ X0 @ X8))) & ((koenig1755522246erPath @ X0 @ (stl @ X0 @ X8) @ X6) | (X3 @ (stl @ X0 @ X8) @ X6)) & (member2 @ treeFI @ X0 @ X6 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ X7))) & (X5 = X7) & (X4 = X8))) => (koenig1755522246erPath @ X0 @ X2 @ X1)))),
% 0.65/0.50 inference(rectify,[],[f6])).
% 0.65/0.50 thf(f481,plain,(
% 0.65/0.50 ! [X0 : $tType,X3 : (stream @ X0 > treeFI @ X0 > $o),X1 : treeFI @ X0,X2 : stream @ X0] : ((((X3 @ X2 @ X1)) = $true) => (! [X5 : treeFI @ X0,X4 : stream @ X0] : ((((X3 @ X4 @ X5)) = $true) => ? [X7 : treeFI @ X0,X8 : stream @ X0,X6 : treeFI @ X0] : ((($true = ((X3 @ (stl @ X0 @ X8) @ X6))) | ($true = ((koenig1755522246erPath @ X0 @ (stl @ X0 @ X8) @ X6)))) & (((member2 @ treeFI @ X0 @ X6 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ X7)))) = $true) & (X4 = X8) & (((lab @ X0 @ X7)) = ((shd @ X0 @ X8))) & (X5 = X7))) => ($true = ((koenig1755522246erPath @ X0 @ X2 @ X1)))))),
% 0.65/0.50 inference(fool_elimination,[],[f480])).
% 0.65/0.50 thf(f580,plain,(
% 0.65/0.50 (((koenig1755522246erPath @ a @ as @ tr)) != $true)),
% 0.65/0.50 inference(flattening,[],[f431])).
% 0.65/0.50 thf(f652,plain,(
% 0.65/0.50 ! [X0 : stream @ a,X1 : treeFI @ a] : ((((phi @ X0 @ X1)) != $true) | (((shd @ a @ X0)) = ((lab @ a @ X1))))),
% 0.65/0.50 inference(ennf_transformation,[],[f299])).
% 0.65/0.50 thf(f673,plain,(
% 0.65/0.50 ! [X1 : stream @ a,X0 : treeFI @ a] : ((((phi @ X1 @ X0)) != $true) | ? [X2 : treeFI @ a] : (($true = ((member2 @ treeFI @ a @ X2 @ (set2 @ treeFI @ a @ (sub @ a @ X0))))) & ((((koenig1755522246erPath @ a @ (stl @ a @ X1) @ X2)) = $true) | ($true = ((phi @ (stl @ a @ X1) @ X2))))))),
% 0.65/0.50 inference(ennf_transformation,[],[f397])).
% 0.65/0.50 thf(f696,plain,(
% 0.65/0.50 ! [X0 : $tType,X3 : (stream @ X0 > treeFI @ X0 > $o),X1 : treeFI @ X0,X2 : stream @ X0] : ((($true = ((koenig1755522246erPath @ X0 @ X2 @ X1))) | ? [X5 : treeFI @ X0,X4 : stream @ X0] : ((((X3 @ X4 @ X5)) = $true) & ! [X6 : treeFI @ X0,X8 : stream @ X0,X7 : treeFI @ X0] : ((((lab @ X0 @ X7)) != ((shd @ X0 @ X8))) | (X4 != X8) | (((member2 @ treeFI @ X0 @ X6 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ X7)))) != $true) | (X5 != X7) | (($true != ((X3 @ (stl @ X0 @ X8) @ X6))) & ($true != ((koenig1755522246erPath @ X0 @ (stl @ X0 @ X8) @ X6))))))) | (((X3 @ X2 @ X1)) != $true))),
% 0.65/0.50 inference(ennf_transformation,[],[f481])).
% 0.65/0.50 thf(f697,plain,(
% 0.65/0.50 ! [X0 : $tType,X2 : stream @ X0,X3 : (stream @ X0 > treeFI @ X0 > $o),X1 : treeFI @ X0] : (? [X5 : treeFI @ X0,X4 : stream @ X0] : ((((X3 @ X4 @ X5)) = $true) & ! [X6 : treeFI @ X0,X8 : stream @ X0,X7 : treeFI @ X0] : ((((lab @ X0 @ X7)) != ((shd @ X0 @ X8))) | (X4 != X8) | (((member2 @ treeFI @ X0 @ X6 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ X7)))) != $true) | (X5 != X7) | (($true != ((X3 @ (stl @ X0 @ X8) @ X6))) & ($true != ((koenig1755522246erPath @ X0 @ (stl @ X0 @ X8) @ X6)))))) | (((X3 @ X2 @ X1)) != $true) | ($true = ((koenig1755522246erPath @ X0 @ X2 @ X1))))),
% 0.65/0.50 inference(flattening,[],[f696])).
% 0.65/0.50 thf(f804,plain,(
% 0.65/0.50 ! [X0 : $tType,X1 : stream @ X0,X2 : (stream @ X0 > treeFI @ X0 > $o),X3 : treeFI @ X0] : (? [X4 : treeFI @ X0,X5 : stream @ X0] : ((((X2 @ X5 @ X4)) = $true) & ! [X6 : treeFI @ X0,X7 : stream @ X0,X8 : treeFI @ X0] : ((((shd @ X0 @ X7)) != ((lab @ X0 @ X8))) | (X5 != X7) | (((member2 @ treeFI @ X0 @ X6 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ X8)))) != $true) | (X4 != X8) | ((((X2 @ (stl @ X0 @ X7) @ X6)) != $true) & ($true != ((koenig1755522246erPath @ X0 @ (stl @ X0 @ X7) @ X6)))))) | ($true != ((X2 @ X1 @ X3))) | (((koenig1755522246erPath @ X0 @ X1 @ X3)) = $true))),
% 0.65/0.50 inference(rectify,[],[f697])).
% 0.65/0.50 thf(f805,plain,(
% 0.65/0.50 ! [X0 : $tType,X1 : stream @ X0,X2 : (stream @ X0 > treeFI @ X0 > $o),X3 : treeFI @ X0] : (((((X2 @ (sK11 @ X0 @ X2) @ (sK10 @ X0 @ X2))) = $true) & ! [X6 : treeFI @ X0,X7 : stream @ X0,X8 : treeFI @ X0] : ((((shd @ X0 @ X7)) != ((lab @ X0 @ X8))) | (((sK11 @ X0 @ X2)) != X7) | (((member2 @ treeFI @ X0 @ X6 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ X8)))) != $true) | (((sK10 @ X0 @ X2)) != X8) | ((((X2 @ (stl @ X0 @ X7) @ X6)) != $true) & ($true != ((koenig1755522246erPath @ X0 @ (stl @ X0 @ X7) @ X6)))))) | ($true != ((X2 @ X1 @ X3))) | (((koenig1755522246erPath @ X0 @ X1 @ X3)) = $true))),
% 0.65/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK0 @ X0 @ X2),skolemize(X3,sK0 @ X0 @ X2)],[f804])).
% 0.65/0.50 thf(f882,plain,(
% 0.65/0.50 ! [X0 : stream @ a,X1 : treeFI @ a] : ((((phi @ X0 @ X1)) != $true) | ? [X2 : treeFI @ a] : (($true = ((member2 @ treeFI @ a @ X2 @ (set2 @ treeFI @ a @ (sub @ a @ X1))))) & ((((koenig1755522246erPath @ a @ (stl @ a @ X0) @ X2)) = $true) | (((phi @ (stl @ a @ X0) @ X2)) = $true))))),
% 0.65/0.50 inference(rectify,[],[f673])).
% 0.65/0.50 thf(f883,plain,(
% 0.65/0.50 ! [X0 : stream @ a,X1 : treeFI @ a] : ((((phi @ X0 @ X1)) != $true) | ((((member2 @ treeFI @ a @ (sK57 @ X1 @ X0) @ (set2 @ treeFI @ a @ (sub @ a @ X1)))) = $true) & (($true = ((koenig1755522246erPath @ a @ (stl @ a @ X0) @ (sK57 @ X1 @ X0)))) | ($true = ((phi @ (stl @ a @ X0) @ (sK57 @ X1 @ X0)))))))),
% 0.65/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK0 @ X0 @ X2)],[f882])).
% 0.65/0.50 thf(f993,plain,(
% 0.65/0.50 ( ! [X0 : $tType,X2 : (stream @ X0 > treeFI @ X0 > $o),X3 : treeFI @ X0,X1 : stream @ X0,X8 : treeFI @ X0,X6 : treeFI @ X0,X7 : stream @ X0] : ((((shd @ X0 @ X7)) != ((lab @ X0 @ X8))) | (((sK11 @ X0 @ X2)) != X7) | (((member2 @ treeFI @ X0 @ X6 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ X8)))) != $true) | (((sK10 @ X0 @ X2)) != X8) | ($true != ((koenig1755522246erPath @ X0 @ (stl @ X0 @ X7) @ X6))) | ($true != ((X2 @ X1 @ X3))) | (((koenig1755522246erPath @ X0 @ X1 @ X3)) = $true)) )),
% 0.65/0.50 inference(cnf_transformation,[],[f805])).
% 0.65/0.50 thf(f994,plain,(
% 0.65/0.50 ( ! [X0 : $tType,X2 : (stream @ X0 > treeFI @ X0 > $o),X3 : treeFI @ X0,X1 : stream @ X0,X8 : treeFI @ X0,X6 : treeFI @ X0,X7 : stream @ X0] : ((((shd @ X0 @ X7)) != ((lab @ X0 @ X8))) | (((sK11 @ X0 @ X2)) != X7) | (((member2 @ treeFI @ X0 @ X6 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ X8)))) != $true) | (((sK10 @ X0 @ X2)) != X8) | (((X2 @ (stl @ X0 @ X7) @ X6)) != $true) | ($true != ((X2 @ X1 @ X3))) | (((koenig1755522246erPath @ X0 @ X1 @ X3)) = $true)) )),
% 0.65/0.50 inference(cnf_transformation,[],[f805])).
% 0.65/0.50 thf(f995,plain,(
% 0.65/0.50 ( ! [X0 : $tType,X2 : (stream @ X0 > treeFI @ X0 > $o),X3 : treeFI @ X0,X1 : stream @ X0] : (($true != ((X2 @ X1 @ X3))) | (((X2 @ (sK11 @ X0 @ X2) @ (sK10 @ X0 @ X2))) = $true) | (((koenig1755522246erPath @ X0 @ X1 @ X3)) = $true)) )),
% 0.65/0.50 inference(cnf_transformation,[],[f805])).
% 0.65/0.50 thf(f1009,plain,(
% 0.65/0.50 (((phi @ as @ tr)) = $true)),
% 0.65/0.50 inference(cnf_transformation,[],[f385])).
% 0.65/0.50 thf(f1109,plain,(
% 0.65/0.50 ( ! [X0 : stream @ a,X1 : treeFI @ a] : ((((phi @ X0 @ X1)) != $true) | ($true = ((phi @ (stl @ a @ X0) @ (sK57 @ X1 @ X0)))) | ($true = ((koenig1755522246erPath @ a @ (stl @ a @ X0) @ (sK57 @ X1 @ X0))))) )),
% 0.65/0.50 inference(cnf_transformation,[],[f883])).
% 0.65/0.50 thf(f1110,plain,(
% 0.65/0.50 ( ! [X0 : stream @ a,X1 : treeFI @ a] : ((((phi @ X0 @ X1)) != $true) | (((member2 @ treeFI @ a @ (sK57 @ X1 @ X0) @ (set2 @ treeFI @ a @ (sub @ a @ X1)))) = $true)) )),
% 0.65/0.50 inference(cnf_transformation,[],[f883])).
% 0.65/0.50 thf(f1112,plain,(
% 0.65/0.50 ( ! [X0 : stream @ a,X1 : treeFI @ a] : ((((phi @ X0 @ X1)) != $true) | (((shd @ a @ X0)) = ((lab @ a @ X1)))) )),
% 0.65/0.50 inference(cnf_transformation,[],[f652])).
% 0.65/0.50 thf(f1181,plain,(
% 0.65/0.50 (((koenig1755522246erPath @ a @ as @ tr)) != $true)),
% 0.65/0.50 inference(cnf_transformation,[],[f580])).
% 0.65/0.50 thf(f1274,plain,(
% 0.65/0.50 ( ! [X0 : $tType,X2 : (stream @ X0 > treeFI @ X0 > $o),X3 : treeFI @ X0,X1 : stream @ X0,X8 : treeFI @ X0,X6 : treeFI @ X0] : ((((shd @ X0 @ (sK11 @ X0 @ X2))) != ((lab @ X0 @ X8))) | (((member2 @ treeFI @ X0 @ X6 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ X8)))) != $true) | (((sK10 @ X0 @ X2)) != X8) | ($true != ((X2 @ (stl @ X0 @ (sK11 @ X0 @ X2)) @ X6))) | ($true != ((X2 @ X1 @ X3))) | (((koenig1755522246erPath @ X0 @ X1 @ X3)) = $true)) )),
% 0.65/0.50 inference(equality_resolution,[],[f994])).
% 0.65/0.50 thf(f1275,plain,(
% 0.65/0.50 ( ! [X0 : $tType,X2 : (stream @ X0 > treeFI @ X0 > $o),X3 : treeFI @ X0,X1 : stream @ X0,X6 : treeFI @ X0] : (($true != ((member2 @ treeFI @ X0 @ X6 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ (sK10 @ X0 @ X2)))))) | (((shd @ X0 @ (sK11 @ X0 @ X2))) != ((lab @ X0 @ (sK10 @ X0 @ X2)))) | ($true != ((X2 @ (stl @ X0 @ (sK11 @ X0 @ X2)) @ X6))) | ($true != ((X2 @ X1 @ X3))) | (((koenig1755522246erPath @ X0 @ X1 @ X3)) = $true)) )),
% 0.65/0.50 inference(equality_resolution,[],[f1274])).
% 0.65/0.50 thf(f1276,plain,(
% 0.65/0.50 ( ! [X0 : $tType,X2 : (stream @ X0 > treeFI @ X0 > $o),X3 : treeFI @ X0,X1 : stream @ X0,X8 : treeFI @ X0,X6 : treeFI @ X0] : ((((shd @ X0 @ (sK11 @ X0 @ X2))) != ((lab @ X0 @ X8))) | (((member2 @ treeFI @ X0 @ X6 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ X8)))) != $true) | (((sK10 @ X0 @ X2)) != X8) | (((koenig1755522246erPath @ X0 @ (stl @ X0 @ (sK11 @ X0 @ X2)) @ X6)) != $true) | ($true != ((X2 @ X1 @ X3))) | (((koenig1755522246erPath @ X0 @ X1 @ X3)) = $true)) )),
% 0.65/0.50 inference(equality_resolution,[],[f993])).
% 0.65/0.50 thf(f1277,plain,(
% 0.65/0.50 ( ! [X0 : $tType,X2 : (stream @ X0 > treeFI @ X0 > $o),X3 : treeFI @ X0,X1 : stream @ X0,X6 : treeFI @ X0] : (($true != ((member2 @ treeFI @ X0 @ X6 @ (set2 @ treeFI @ X0 @ (sub @ X0 @ (sK10 @ X0 @ X2)))))) | (((koenig1755522246erPath @ X0 @ X1 @ X3)) = $true) | (((shd @ X0 @ (sK11 @ X0 @ X2))) != ((lab @ X0 @ (sK10 @ X0 @ X2)))) | (((koenig1755522246erPath @ X0 @ (stl @ X0 @ (sK11 @ X0 @ X2)) @ X6)) != $true) | ($true != ((X2 @ X1 @ X3)))) )),
% 0.65/0.50 inference(equality_resolution,[],[f1276])).
% 0.65/0.50 thf(f2043,plain,(
% 0.65/0.50 (((phi @ (sK11 @ a @ phi) @ (sK10 @ a @ phi))) = $true) | (((koenig1755522246erPath @ a @ as @ tr)) = $true) | ($true != $true)),
% 0.65/0.50 inference(superposition,[],[f995,f1009])).
% 0.65/0.50 thf(f2053,plain,(
% 0.65/0.50 (((koenig1755522246erPath @ a @ as @ tr)) = $true) | (((phi @ (sK11 @ a @ phi) @ (sK10 @ a @ phi))) = $true)),
% 0.65/0.50 inference(trivial_inequality_removal,[],[f2043])).
% 0.65/0.50 thf(f2054,plain,(
% 0.65/0.50 (((phi @ (sK11 @ a @ phi) @ (sK10 @ a @ phi))) = $true)),
% 0.65/0.50 inference(forward_subsumption_resolution,[],[f2053,f1181])).
% 0.65/0.50 thf(f2071,plain,(
% 0.65/0.50 ($true != $true) | (((shd @ a @ (sK11 @ a @ phi))) = ((lab @ a @ (sK10 @ a @ phi))))),
% 0.65/0.50 inference(superposition,[],[f1112,f2054])).
% 0.65/0.50 thf(f2074,plain,(
% 0.65/0.50 (((shd @ a @ (sK11 @ a @ phi))) = ((lab @ a @ (sK10 @ a @ phi))))),
% 0.65/0.50 inference(trivial_inequality_removal,[],[f2071])).
% 0.65/0.50 thf(f2460,plain,(
% 0.65/0.50 ($true != $true) | ($true = ((member2 @ treeFI @ a @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi)) @ (set2 @ treeFI @ a @ (sub @ a @ (sK10 @ a @ phi))))))),
% 0.65/0.50 inference(superposition,[],[f1110,f2054])).
% 0.65/0.50 thf(f2464,plain,(
% 0.65/0.50 ($true = ((member2 @ treeFI @ a @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi)) @ (set2 @ treeFI @ a @ (sub @ a @ (sK10 @ a @ phi))))))),
% 0.65/0.50 inference(trivial_inequality_removal,[],[f2460])).
% 0.65/0.50 thf(f2482,plain,(
% 0.65/0.50 ($true != $true) | (((phi @ (stl @ a @ (sK11 @ a @ phi)) @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi)))) = $true) | ($true = ((koenig1755522246erPath @ a @ (stl @ a @ (sK11 @ a @ phi)) @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi)))))),
% 0.65/0.50 inference(superposition,[],[f1109,f2054])).
% 0.65/0.50 thf(f2490,plain,(
% 0.65/0.50 (((phi @ (stl @ a @ (sK11 @ a @ phi)) @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi)))) = $true) | ($true = ((koenig1755522246erPath @ a @ (stl @ a @ (sK11 @ a @ phi)) @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi)))))),
% 0.65/0.50 inference(trivial_inequality_removal,[],[f2482])).
% 0.65/0.50 thf(f2503,definition,(
% 0.65/0.50 spl162_7 <=> (((phi @ (stl @ a @ (sK11 @ a @ phi)) @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi)))) = $true)),
% 0.65/0.50 introduced(definition,[new_symbols(definition,[spl162_7])],[avatar_definition])).
% 0.65/0.50 thf(f2507,definition,(
% 0.65/0.50 spl162_8 <=> ($true = ((koenig1755522246erPath @ a @ (stl @ a @ (sK11 @ a @ phi)) @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi)))))),
% 0.65/0.50 introduced(definition,[new_symbols(definition,[spl162_8])],[avatar_definition])).
% 0.65/0.50 thf(f2510,plain,(
% 0.65/0.50 spl162_7 | spl162_8),
% 0.65/0.50 inference(avatar_split_clause,[],[f2490,f2507,f2503])).
% 0.65/0.50 thf(f2768,plain,(
% 0.65/0.50 ( ! [X0 : stream @ a,X1 : treeFI @ a] : ((((koenig1755522246erPath @ a @ X0 @ X1)) = $true) | ($true != $true) | ($true != ((koenig1755522246erPath @ a @ (stl @ a @ (sK11 @ a @ phi)) @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi))))) | (((shd @ a @ (sK11 @ a @ phi))) != ((lab @ a @ (sK10 @ a @ phi)))) | (((phi @ X0 @ X1)) != $true)) )),
% 0.65/0.50 inference(superposition,[],[f1277,f2464])).
% 0.65/0.50 thf(f2769,plain,(
% 0.65/0.50 ( ! [X0 : stream @ a,X1 : treeFI @ a] : ((((shd @ a @ (sK11 @ a @ phi))) != ((lab @ a @ (sK10 @ a @ phi)))) | (((koenig1755522246erPath @ a @ X0 @ X1)) = $true) | ($true != $true) | (((phi @ X0 @ X1)) != $true) | (((phi @ (stl @ a @ (sK11 @ a @ phi)) @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi)))) != $true)) )),
% 0.65/0.50 inference(superposition,[],[f1275,f2464])).
% 0.65/0.50 thf(f2773,plain,(
% 0.65/0.50 ( ! [X0 : stream @ a,X1 : treeFI @ a] : ((((koenig1755522246erPath @ a @ X0 @ X1)) = $true) | (((phi @ X0 @ X1)) != $true) | (((phi @ (stl @ a @ (sK11 @ a @ phi)) @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi)))) != $true) | (((shd @ a @ (sK11 @ a @ phi))) != ((lab @ a @ (sK10 @ a @ phi))))) )),
% 0.65/0.50 inference(trivial_inequality_removal,[],[f2769])).
% 0.65/0.50 thf(f2778,plain,(
% 0.65/0.50 ( ! [X0 : stream @ a,X1 : treeFI @ a] : ((((koenig1755522246erPath @ a @ X0 @ X1)) = $true) | ($true != ((koenig1755522246erPath @ a @ (stl @ a @ (sK11 @ a @ phi)) @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi))))) | (((phi @ X0 @ X1)) != $true) | (((shd @ a @ (sK11 @ a @ phi))) != ((lab @ a @ (sK10 @ a @ phi))))) )),
% 0.65/0.50 inference(trivial_inequality_removal,[],[f2768])).
% 0.65/0.50 thf(f2802,plain,(
% 0.65/0.50 ( ! [X0 : stream @ a,X1 : treeFI @ a] : (($true != ((koenig1755522246erPath @ a @ (stl @ a @ (sK11 @ a @ phi)) @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi))))) | (((phi @ X0 @ X1)) != $true) | (((koenig1755522246erPath @ a @ X0 @ X1)) = $true)) )),
% 0.65/0.50 inference(forward_subsumption_resolution,[],[f2778,f2074])).
% 0.65/0.50 thf(f2803,plain,(
% 0.65/0.50 ( ! [X0 : stream @ a,X1 : treeFI @ a] : ((((koenig1755522246erPath @ a @ X0 @ X1)) = $true) | (((phi @ X0 @ X1)) != $true) | (((phi @ (stl @ a @ (sK11 @ a @ phi)) @ (sK57 @ (sK10 @ a @ phi) @ (sK11 @ a @ phi)))) != $true)) )),
% 0.65/0.50 inference(forward_subsumption_resolution,[],[f2773,f2074])).
% 0.65/0.50 thf(f2805,definition,(
% 0.65/0.50 spl162_11 <=> ! [X0 : stream @ a,X1 : treeFI @ a] : ((((phi @ X0 @ X1)) != $true) | (((koenig1755522246erPath @ a @ X0 @ X1)) = $true))),
% 0.65/0.50 introduced(definition,[new_symbols(definition,[spl162_11])],[avatar_definition])).
% 0.65/0.50 thf(f2806,plain,(
% 0.65/0.50 ( ! [X0 : stream @ a,X1 : treeFI @ a] : ((((phi @ X0 @ X1)) != $true) | (((koenig1755522246erPath @ a @ X0 @ X1)) = $true)) ) | ~spl162_11),
% 0.65/0.50 inference(avatar_component_clause,[],[f2805])).
% 0.65/0.50 thf(f2807,plain,(
% 0.65/0.50 ~spl162_8 | spl162_11),
% 0.65/0.50 inference(avatar_split_clause,[],[f2802,f2805,f2507])).
% 0.65/0.50 thf(f2808,plain,(
% 0.65/0.50 spl162_11 | ~spl162_7),
% 0.65/0.50 inference(avatar_split_clause,[],[f2803,f2503,f2805])).
% 0.65/0.50 thf(f2838,plain,(
% 0.65/0.50 ($true != $true) | (((koenig1755522246erPath @ a @ as @ tr)) = $true) | ~spl162_11),
% 0.65/0.50 inference(superposition,[],[f2806,f1009])).
% 0.65/0.50 thf(f2851,plain,(
% 0.65/0.50 (((koenig1755522246erPath @ a @ as @ tr)) = $true) | ~spl162_11),
% 0.65/0.50 inference(trivial_inequality_removal,[],[f2838])).
% 0.65/0.50 thf(f2853,plain,(
% 0.65/0.50 $false | ~spl162_11),
% 0.65/0.50 inference(forward_subsumption_resolution,[],[f2851,f1181])).
% 0.65/0.50 thf(f2854,plain,(
% 0.65/0.50 ~spl162_11),
% 0.65/0.50 inference(avatar_contradiction_clause,[],[f2853])).
% 0.65/0.50 cnf(s4, plain, spl162_7 | spl162_8, inference(sat_conversion,[],[f2510])).
% 0.65/0.50 cnf(s7, plain, ~spl162_8 | spl162_11, inference(sat_conversion,[],[f2807])).
% 0.65/0.50 cnf(s8, plain, ~spl162_7 | spl162_11, inference(sat_conversion,[],[f2808])).
% 0.65/0.50 cnf(s10, plain, ~spl162_11, inference(sat_conversion,[],[f2854])).
% 0.65/0.50 cnf(s12, plain, ~spl162_7, inference(rat,[],[s8,s10])).
% 0.65/0.50 cnf(s13, plain, ~spl162_8, inference(rat,[],[s7,s10])).
% 0.65/0.50 cnf(s14, plain, $false, inference(rat,[],[s4,s13,s12])).
% 0.65/0.50 thf(f2856,plain,(
% 0.65/0.50 $false),
% 0.65/0.50 inference(avatar_sat_refutation,[],[s14])).
% 0.65/0.50 % SZS output end Proof for theBenchmark
% 0.65/0.50 % (1637405)------------------------------
% 0.65/0.50 % (1637405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.50 % (1637405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.50 % (1637405)CaDiCaL version: 2.1.3
% 0.65/0.50 % (1637405)Termination reason: Refutation
% 0.65/0.50 % (1637405)Time elapsed: 0.068 s
% 0.65/0.50 % (1637405)Peak memory usage: 16 MB
% 0.65/0.50 % (1637405)Instructions burned: 260 (million)
% 0.65/0.50 % (1637363)Success in time 0.215 s
% 0.65/0.50 % Vampire exiting
%------------------------------------------------------------------------------