%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP082^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 08:08:16 AM UTC 2026
% Result : Theorem 2.37s 0.73s
% Output : Refutation 2.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP082^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n026.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 19:51:57 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/0.45 % (1096531)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.31/0.45 % (1096542)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.31/0.45 % (1096542)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.31/0.45 % (1096536)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=396989374:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.31/0.45 % (1096537)lrs+10_16_si=on:nwc=1.5:random_seed=1941948411:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.31/0.45 % (1096542)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=3546691766:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.31/0.45 % (1096538)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1159712468:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.31/0.45 % (1096539)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=3256342284:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.31/0.45 % (1096540)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=972467713:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.31/0.45 % (1096541)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=625372334:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.31/0.45 % (1096538)Instruction limit reached!
% 0.31/0.45 % (1096538)------------------------------
% 0.31/0.45 % (1096538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (1096538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (1096538)CaDiCaL version: 2.1.3
% 0.31/0.45 % (1096538)Termination reason: Instruction limit
% 0.31/0.45 % (1096538)Termination phase: shuffling
% 0.31/0.45 % (1096538)Time elapsed: 0.002 s
% 0.31/0.45 % (1096538)Peak memory usage: 10 MB
% 0.31/0.45 % (1096538)Instructions burned: 3 (million)
% 0.31/0.45 % (1096537)Instruction limit reached!
% 0.31/0.45 % (1096537)------------------------------
% 0.31/0.45 % (1096537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (1096537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (1096537)CaDiCaL version: 2.1.3
% 0.31/0.45 % (1096537)Termination reason: Instruction limit
% 0.31/0.45 % (1096537)Termination phase: shuffling
% 0.31/0.45 % (1096537)Time elapsed: 0.008 s
% 0.31/0.45 % (1096537)Peak memory usage: 10 MB
% 0.31/0.45 % (1096537)Instructions burned: 18 (million)
% 0.31/0.45 % (1096540)Instruction limit reached!
% 0.31/0.45 % (1096540)------------------------------
% 0.31/0.45 % (1096540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (1096540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (1096540)CaDiCaL version: 2.1.3
% 0.31/0.45 % (1096540)Termination reason: Instruction limit
% 0.31/0.45 % (1096540)Termination phase: shuffling
% 0.31/0.45 % (1096540)Time elapsed: 0.010 s
% 0.31/0.45 % (1096540)Peak memory usage: 10 MB
% 0.31/0.45 % (1096540)Instructions burned: 24 (million)
% 0.31/0.45 % (1096550)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3445381586:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.45 % (1096550)Instruction limit reached!
% 0.31/0.45 % (1096550)------------------------------
% 0.31/0.45 % (1096550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45 % (1096550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45 % (1096550)CaDiCaL version: 2.1.3
% 0.31/0.45 % (1096550)Termination reason: Instruction limit
% 0.31/0.45 % (1096550)Termination phase: shuffling
% 0.31/0.45 % (1096550)Time elapsed: 0.002 s
% 0.31/0.45 % (1096550)Peak memory usage: 10 MB
% 0.31/0.45 % (1096550)Instructions burned: 3 (million)
% 0.31/0.45 % (1096551)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1962508085:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.08/0.49 % (1096552)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.08/0.49 % (1096551)Instruction limit reached!
% 1.08/0.49 % (1096551)------------------------------
% 1.08/0.49 % (1096551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49 % (1096551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49 % (1096551)CaDiCaL version: 2.1.3
% 1.08/0.49 % (1096551)Termination reason: Instruction limit
% 1.08/0.49 % (1096551)Termination phase: shuffling
% 1.08/0.49 % (1096551)Time elapsed: 0.003 s
% 1.08/0.49 % (1096551)Peak memory usage: 10 MB
% 1.08/0.49 % (1096551)Instructions burned: 6 (million)
% 1.08/0.49 % (1096552)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4150211438:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.08/0.49 % (1096541)Instruction limit reached!
% 1.08/0.49 % (1096541)------------------------------
% 1.08/0.49 % (1096541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49 % (1096541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49 % (1096541)CaDiCaL version: 2.1.3
% 1.08/0.49 % (1096541)Termination reason: Instruction limit
% 1.08/0.49 % (1096541)Termination phase: Preprocessing 3
% 1.08/0.49 % (1096541)Time elapsed: 0.035 s
% 1.08/0.49 % (1096541)Peak memory usage: 11 MB
% 1.08/0.49 % (1096541)Instructions burned: 76 (million)
% 1.08/0.49 % (1096552)Instruction limit reached!
% 1.08/0.49 % (1096552)------------------------------
% 1.08/0.49 % (1096552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49 % (1096552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49 % (1096552)CaDiCaL version: 2.1.3
% 1.08/0.49 % (1096552)Termination reason: Instruction limit
% 1.08/0.49 % (1096552)Termination phase: shuffling
% 1.08/0.49 % (1096552)Time elapsed: 0.004 s
% 1.08/0.49 % (1096552)Peak memory usage: 10 MB
% 1.08/0.49 % (1096552)Instructions burned: 8 (million)
% 1.08/0.49 % (1096536)Instruction limit reached!
% 1.08/0.49 % (1096536)------------------------------
% 1.08/0.49 % (1096536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49 % (1096536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49 % (1096536)CaDiCaL version: 2.1.3
% 1.08/0.49 % (1096536)Termination reason: Instruction limit
% 1.08/0.49 % (1096536)Termination phase: Preprocessing 3
% 1.08/0.49 % (1096536)Time elapsed: 0.040 s
% 1.08/0.49 % (1096536)Peak memory usage: 12 MB
% 1.08/0.49 % (1096536)Instructions burned: 88 (million)
% 1.08/0.49 % (1096554)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3648043567:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.08/0.49 % (1096557)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.08/0.49 % (1096557)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.08/0.49 % (1096554)Instruction limit reached!
% 1.08/0.49 % (1096554)------------------------------
% 1.08/0.49 % (1096554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49 % (1096554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49 % (1096554)CaDiCaL version: 2.1.3
% 1.08/0.49 % (1096554)Termination reason: Instruction limit
% 1.08/0.49 % (1096554)Termination phase: shuffling
% 1.08/0.49 % (1096554)Time elapsed: 0.006 s
% 1.08/0.49 % (1096554)Peak memory usage: 10 MB
% 1.08/0.49 % (1096554)Instructions burned: 14 (million)
% 1.08/0.49 % (1096557)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2462381752:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.08/0.49 % (1096558)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=998835698:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.08/0.49 % (1096560)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.08/0.52 % (1096559)lrs+10_1_si=on:cs=on:random_seed=1401343254:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.08/0.52 % (1096560)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=3380373710:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.08/0.52 % (1096559)Instruction limit reached!
% 1.08/0.52 % (1096559)------------------------------
% 1.08/0.52 % (1096559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.52 % (1096559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.52 % (1096559)CaDiCaL version: 2.1.3
% 1.08/0.52 % (1096559)Termination reason: Instruction limit
% 1.08/0.52 % (1096559)Termination phase: shuffling
% 1.08/0.52 % (1096559)Time elapsed: 0.004 s
% 1.08/0.52 % (1096559)Peak memory usage: 10 MB
% 1.08/0.52 % (1096559)Instructions burned: 8 (million)
% 1.08/0.52 % (1096560)Instruction limit reached!
% 1.08/0.52 % (1096560)------------------------------
% 1.08/0.52 % (1096560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.52 % (1096560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.52 % (1096560)CaDiCaL version: 2.1.3
% 1.08/0.52 % (1096560)Termination reason: Instruction limit
% 1.08/0.52 % (1096560)Termination phase: shuffling
% 1.08/0.52 % (1096560)Time elapsed: 0.002 s
% 1.08/0.52 % (1096560)Peak memory usage: 10 MB
% 1.08/0.52 % (1096560)Instructions burned: 3 (million)
% 1.08/0.52 % (1096557)Instruction limit reached!
% 1.08/0.52 % (1096557)------------------------------
% 1.08/0.52 % (1096557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.52 % (1096557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.52 % (1096557)CaDiCaL version: 2.1.3
% 1.08/0.52 % (1096557)Termination reason: Instruction limit
% 1.08/0.52 % (1096557)Termination phase: shuffling
% 1.08/0.52 % (1096557)Time elapsed: 0.013 s
% 1.08/0.52 % (1096557)Peak memory usage: 10 MB
% 1.08/0.52 % (1096557)Instructions burned: 29 (million)
% 1.08/0.52 % (1096542)Instruction limit reached!
% 1.08/0.52 % (1096542)------------------------------
% 1.08/0.52 % (1096542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.52 % (1096542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.52 % (1096542)CaDiCaL version: 2.1.3
% 1.08/0.52 % (1096542)Termination reason: Instruction limit
% 1.08/0.52 % (1096542)Termination phase: Saturation
% 1.08/0.52 % (1096542)Time elapsed: 0.064 s
% 1.08/0.52 % (1096542)Peak memory usage: 13 MB
% 1.08/0.52 % (1096542)Instructions burned: 160 (million)
% 1.08/0.52 % (1096563)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1686937471:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.08/0.52 % (1096570)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2658313935:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.08/0.52 % (1096568)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1955893305:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.08/0.52 % (1096569)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2360761539:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.08/0.52 % (1096563)Instruction limit reached!
% 1.08/0.52 % (1096563)------------------------------
% 1.08/0.52 % (1096563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.52 % (1096563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.52 % (1096563)CaDiCaL version: 2.1.3
% 1.08/0.52 % (1096563)Termination reason: Instruction limit
% 1.08/0.52 % (1096563)Termination phase: Property scanning
% 1.08/0.52 % (1096563)Time elapsed: 0.017 s
% 1.08/0.52 % (1096563)Peak memory usage: 10 MB
% 1.08/0.52 % (1096563)Instructions burned: 40 (million)
% 1.08/0.52 % (1096569)Instruction limit reached!
% 1.08/0.52 % (1096569)------------------------------
% 1.08/0.52 % (1096569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.52 % (1096569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.52 % (1096569)CaDiCaL version: 2.1.3
% 1.08/0.52 % (1096569)Termination reason: Instruction limit
% 1.08/0.52 % (1096569)Termination phase: shuffling
% 1.08/0.52 % (1096569)Time elapsed: 0.006 s
% 1.08/0.52 % (1096569)Peak memory usage: 10 MB
% 1.08/0.58 % (1096569)Instructions burned: 14 (million)
% 1.08/0.58 % (1096568)Instruction limit reached!
% 1.08/0.58 % (1096568)------------------------------
% 1.08/0.58 % (1096568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.58 % (1096568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.58 % (1096568)CaDiCaL version: 2.1.3
% 1.08/0.58 % (1096568)Termination reason: Instruction limit
% 1.08/0.58 % (1096568)Termination phase: shuffling
% 1.08/0.58 % (1096568)Time elapsed: 0.012 s
% 1.08/0.58 % (1096568)Peak memory usage: 10 MB
% 1.08/0.58 % (1096568)Instructions burned: 27 (million)
% 1.08/0.58 % (1096558)Instruction limit reached!
% 1.08/0.58 % (1096558)------------------------------
% 1.08/0.58 % (1096558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.58 % (1096558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.58 % (1096558)CaDiCaL version: 2.1.3
% 1.08/0.58 % (1096558)Termination reason: Instruction limit
% 1.08/0.58 % (1096558)Termination phase: Preprocessing 1
% 1.08/0.58 % (1096558)Time elapsed: 0.037 s
% 1.08/0.58 % (1096558)Peak memory usage: 11 MB
% 1.08/0.58 % (1096558)Instructions burned: 86 (million)
% 1.08/0.58 % (1096567)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1862796651:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.08/0.58 % (1096575)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=974379090:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.08/0.58 % (1096576)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3454191910: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)
% 1.08/0.58 % (1096578)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3861195686:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.08/0.58 % (1096579)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3512580768:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.08/0.58 % (1096576)Instruction limit reached!
% 1.08/0.58 % (1096576)------------------------------
% 1.08/0.58 % (1096576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.58 % (1096576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.58 % (1096576)CaDiCaL version: 2.1.3
% 1.08/0.58 % (1096576)Termination reason: Instruction limit
% 1.08/0.58 % (1096576)Termination phase: shuffling
% 1.08/0.58 % (1096576)Time elapsed: 0.003 s
% 1.08/0.58 % (1096576)Peak memory usage: 10 MB
% 1.08/0.58 % (1096576)Instructions burned: 7 (million)
% 1.08/0.58 % (1096575)Instruction limit reached!
% 1.08/0.58 % (1096575)------------------------------
% 1.08/0.58 % (1096575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.58 % (1096575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.58 % (1096575)CaDiCaL version: 2.1.3
% 1.08/0.58 % (1096575)Termination reason: Instruction limit
% 1.08/0.58 % (1096575)Termination phase: shuffling
% 1.08/0.58 % (1096575)Time elapsed: 0.006 s
% 1.08/0.58 % (1096575)Peak memory usage: 10 MB
% 1.08/0.58 % (1096575)Instructions burned: 14 (million)
% 1.08/0.58 % (1096579)Instruction limit reached!
% 1.08/0.58 % (1096579)------------------------------
% 1.08/0.58 % (1096579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.58 % (1096579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.58 % (1096579)CaDiCaL version: 2.1.3
% 1.08/0.58 % (1096579)Termination reason: Instruction limit
% 1.08/0.58 % (1096579)Termination phase: shuffling
% 1.08/0.58 % (1096579)Time elapsed: 0.010 s
% 1.08/0.58 % (1096579)Peak memory usage: 10 MB
% 1.08/0.58 % (1096579)Instructions burned: 24 (million)
% 1.08/0.58 % (1096578)Instruction limit reached!
% 1.08/0.58 % (1096578)------------------------------
% 1.08/0.58 % (1096578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.58 % (1096578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.58 % (1096578)CaDiCaL version: 2.1.3
% 1.08/0.58 % (1096578)Termination reason: Instruction limit
% 1.08/0.58 % (1096578)Termination phase: shuffling
% 1.08/0.58 % (1096578)Time elapsed: 0.013 s
% 1.08/0.58 % (1096578)Peak memory usage: 10 MB
% 1.08/0.58 % (1096578)Instructions burned: 28 (million)
% 1.86/0.63 % (1096585)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
% 1.86/0.63 % (1096585)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.86/0.63 % (1096584)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4069899932:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.86/0.63 % (1096585)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=3292845325:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.86/0.63 % (1096586)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.86/0.63 % (1096585)Instruction limit reached!
% 1.86/0.63 % (1096585)------------------------------
% 1.86/0.63 % (1096585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.63 % (1096585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.63 % (1096585)CaDiCaL version: 2.1.3
% 1.86/0.63 % (1096585)Termination reason: Instruction limit
% 1.86/0.63 % (1096585)Termination phase: shuffling
% 1.86/0.63 % (1096585)Time elapsed: 0.007 s
% 1.86/0.63 % (1096585)Peak memory usage: 10 MB
% 1.86/0.63 % (1096585)Instructions burned: 16 (million)
% 1.86/0.63 % (1096586)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=2183366770:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.86/0.63 % (1096587)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=1708421587:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.86/0.63 % (1096586)Instruction limit reached!
% 1.86/0.63 % (1096586)------------------------------
% 1.86/0.63 % (1096586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.63 % (1096586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.63 % (1096586)CaDiCaL version: 2.1.3
% 1.86/0.63 % (1096586)Termination reason: Instruction limit
% 1.86/0.63 % (1096586)Termination phase: shuffling
% 1.86/0.63 % (1096586)Time elapsed: 0.004 s
% 1.86/0.63 % (1096586)Peak memory usage: 10 MB
% 1.86/0.63 % (1096586)Instructions burned: 8 (million)
% 1.86/0.63 % (1096584)Instruction limit reached!
% 1.86/0.63 % (1096584)------------------------------
% 1.86/0.63 % (1096584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.63 % (1096584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.63 % (1096584)CaDiCaL version: 2.1.3
% 1.86/0.63 % (1096584)Termination reason: Instruction limit
% 1.86/0.63 % (1096584)Termination phase: Preprocessing 2
% 1.86/0.63 % (1096584)Time elapsed: 0.026 s
% 1.86/0.63 % (1096584)Peak memory usage: 11 MB
% 1.86/0.63 % (1096584)Instructions burned: 60 (million)
% 1.86/0.63 % (1096590)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1739980520:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.86/0.63 % (1096587)Instruction limit reached!
% 1.86/0.63 % (1096587)------------------------------
% 1.86/0.63 % (1096587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.63 % (1096587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.63 % (1096587)CaDiCaL version: 2.1.3
% 1.86/0.63 % (1096587)Termination reason: Instruction limit
% 1.86/0.63 % (1096587)Termination phase: shuffling
% 1.86/0.63 % (1096587)Time elapsed: 0.014 s
% 1.86/0.63 % (1096587)Peak memory usage: 10 MB
% 1.86/0.63 % (1096587)Instructions burned: 31 (million)
% 1.86/0.63 % (1096570)Instruction limit reached!
% 1.86/0.63 % (1096570)------------------------------
% 1.86/0.63 % (1096570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.63 % (1096570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.63 % (1096570)CaDiCaL version: 2.1.3
% 1.86/0.63 % (1096570)Termination reason: Instruction limit
% 1.86/0.63 % (1096570)Termination phase: Saturation
% 1.86/0.63 % (1096570)Time elapsed: 0.085 s
% 1.86/0.63 % (1096570)Peak memory usage: 15 MB
% 2.37/0.72 % (1096570)Instructions burned: 330 (million)
% 2.37/0.72 % (1096590)Instruction limit reached!
% 2.37/0.72 % (1096590)------------------------------
% 2.37/0.72 % (1096590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.72 % (1096590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.72 % (1096590)CaDiCaL version: 2.1.3
% 2.37/0.72 % (1096590)Termination reason: Instruction limit
% 2.37/0.72 % (1096590)Termination phase: shuffling
% 2.37/0.72 % (1096590)Time elapsed: 0.003 s
% 2.37/0.72 % (1096590)Peak memory usage: 10 MB
% 2.37/0.72 % (1096590)Instructions burned: 7 (million)
% 2.37/0.72 % (1096593)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=247273147:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.37/0.72 % (1096597)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4086470213:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.37/0.72 % (1096594)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3031536292:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.37/0.72 % (1096596)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1400130269:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.37/0.72 % (1096593)Instruction limit reached!
% 2.37/0.72 % (1096593)------------------------------
% 2.37/0.72 % (1096593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.72 % (1096593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.72 % (1096593)CaDiCaL version: 2.1.3
% 2.37/0.72 % (1096593)Termination reason: Instruction limit
% 2.37/0.72 % (1096593)Termination phase: shuffling
% 2.37/0.72 % (1096593)Time elapsed: 0.015 s
% 2.37/0.72 % (1096593)Peak memory usage: 10 MB
% 2.37/0.72 % (1096593)Instructions burned: 23 (million)
% 2.37/0.72 % (1096598)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=71709839:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.37/0.72 % (1096594)Instruction limit reached!
% 2.37/0.72 % (1096594)------------------------------
% 2.37/0.72 % (1096594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.72 % (1096594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.72 % (1096594)CaDiCaL version: 2.1.3
% 2.37/0.72 % (1096594)Termination reason: Instruction limit
% 2.37/0.72 % (1096594)Termination phase: shuffling
% 2.37/0.72 % (1096594)Time elapsed: 0.009 s
% 2.37/0.72 % (1096594)Peak memory usage: 10 MB
% 2.37/0.72 % (1096594)Instructions burned: 21 (million)
% 2.37/0.72 % (1096604)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=167622221:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.37/0.72 % (1096605)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.37/0.72 % (1096597)Instruction limit reached!
% 2.37/0.72 % (1096597)------------------------------
% 2.37/0.72 % (1096597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.72 % (1096597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.72 % (1096597)CaDiCaL version: 2.1.3
% 2.37/0.72 % (1096597)Termination reason: Instruction limit
% 2.37/0.73 % (1096597)Termination phase: Property scanning
% 2.37/0.73 % (1096597)Time elapsed: 0.033 s
% 2.37/0.73 % (1096597)Peak memory usage: 12 MB
% 2.37/0.73 % (1096597)Instructions burned: 144 (million)
% 2.37/0.73 % (1096605)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2816743676:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.37/0.73 % (1096605)Instruction limit reached!
% 2.37/0.73 % (1096605)------------------------------
% 2.37/0.73 % (1096605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (1096605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (1096605)CaDiCaL version: 2.1.3
% 2.37/0.73 % (1096605)Termination reason: Instruction limit
% 2.37/0.73 % (1096605)Termination phase: shuffling
% 2.37/0.73 % (1096605)Time elapsed: 0.004 s
% 2.37/0.73 % (1096605)Peak memory usage: 10 MB
% 2.37/0.73 % (1096605)Instructions burned: 8 (million)
% 2.37/0.73 % (1096607)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1238528325:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.37/0.73 % (1096604)Instruction limit reached!
% 2.37/0.73 % (1096604)------------------------------
% 2.37/0.73 % (1096604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (1096604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (1096604)CaDiCaL version: 2.1.3
% 2.37/0.73 % (1096604)Termination reason: Instruction limit
% 2.37/0.73 % (1096604)Termination phase: Property scanning
% 2.37/0.73 % (1096604)Time elapsed: 0.020 s
% 2.37/0.73 % (1096604)Peak memory usage: 10 MB
% 2.37/0.73 % (1096604)Instructions burned: 42 (million)
% 2.37/0.73 % (1096567)Refutation not found, incomplete strategy
% 2.37/0.73 % (1096567)------------------------------
% 2.37/0.73 % (1096567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (1096567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (1096567)CaDiCaL version: 2.1.3
% 2.37/0.73 % (1096567)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.73 % (1096567)Time elapsed: 0.130 s
% 2.37/0.73 % (1096567)Peak memory usage: 14 MB
% 2.37/0.73 % (1096567)Instructions burned: 156 (million)
% 2.37/0.73 % (1096567)------------------------------
% 2.37/0.73 % (1096567)------------------------------
% 2.37/0.73 % (1096609)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=319876366: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)
% 2.37/0.73 % (1096611)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.37/0.73 % (1096611)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=4072391538:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.37/0.73 % (1096611)Instruction limit reached!
% 2.37/0.73 % (1096611)------------------------------
% 2.37/0.73 % (1096611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (1096611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (1096611)CaDiCaL version: 2.1.3
% 2.37/0.73 % (1096611)Termination reason: Instruction limit
% 2.37/0.73 % (1096611)Termination phase: shuffling
% 2.37/0.73 % (1096611)Time elapsed: 0.003 s
% 2.37/0.73 % (1096611)Peak memory usage: 10 MB
% 2.37/0.73 % (1096611)Instructions burned: 6 (million)
% 2.37/0.73 % (1096612)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2008466925:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.37/0.73 % (1096612)Instruction limit reached!
% 2.37/0.73 % (1096612)------------------------------
% 2.37/0.73 % (1096612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (1096612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (1096612)CaDiCaL version: 2.1.3
% 2.37/0.73 % (1096612)Termination reason: Instruction limit
% 2.37/0.73 % (1096612)Termination phase: shuffling
% 2.37/0.73 % (1096612)Time elapsed: 0.010 s
% 2.37/0.73 % (1096612)Peak memory usage: 10 MB
% 2.37/0.73 % (1096612)Instructions burned: 22 (million)
% 2.37/0.73 % (1096615)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2898757588:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.37/0.73 % (1096607)Instruction limit reached!
% 2.37/0.73 % (1096607)------------------------------
% 2.37/0.73 % (1096607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (1096607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (1096607)CaDiCaL version: 2.1.3
% 2.37/0.73 % (1096607)Termination reason: Instruction limit
% 2.37/0.73 % (1096607)Termination phase: Saturation
% 2.37/0.73 % (1096607)Time elapsed: 0.050 s
% 2.37/0.73 % (1096607)Peak memory usage: 14 MB
% 2.37/0.73 % (1096607)Instructions burned: 194 (million)
% 2.37/0.73 % (1096598)Instruction limit reached!
% 2.37/0.73 % (1096598)------------------------------
% 2.37/0.73 % (1096598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (1096598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (1096598)CaDiCaL version: 2.1.3
% 2.37/0.73 % (1096598)Termination reason: Instruction limit
% 2.37/0.73 % (1096598)Termination phase: Saturation
% 2.37/0.73 % (1096598)Time elapsed: 0.088 s
% 2.37/0.73 % (1096598)Peak memory usage: 13 MB
% 2.37/0.73 % (1096598)Instructions burned: 194 (million)
% 2.37/0.73 % (1096615)Instruction limit reached!
% 2.37/0.73 % (1096615)------------------------------
% 2.37/0.73 % (1096615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (1096615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (1096615)CaDiCaL version: 2.1.3
% 2.37/0.73 % (1096615)Termination reason: Instruction limit
% 2.37/0.73 % (1096615)Termination phase: shuffling
% 2.37/0.73 % (1096615)Time elapsed: 0.009 s
% 2.37/0.73 % (1096615)Peak memory usage: 10 MB
% 2.37/0.73 % (1096615)Instructions burned: 19 (million)
% 2.37/0.73 % (1096619)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1062684284:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.37/0.73 % (1096618)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=1993438126:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.37/0.73 % (1096620)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=476850585:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.37/0.73 % (1096621)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1245012731:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.37/0.73 % (1096539)Instruction limit reached!
% 2.37/0.73 % (1096539)------------------------------
% 2.37/0.73 % (1096539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (1096539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (1096539)CaDiCaL version: 2.1.3
% 2.37/0.73 % (1096539)Termination reason: Instruction limit
% 2.37/0.73 % (1096539)Termination phase: Saturation
% 2.37/0.73 % (1096539)Time elapsed: 0.307 s
% 2.37/0.73 % (1096539)Peak memory usage: 16 MB
% 2.37/0.73 % (1096539)Instructions burned: 636 (million)
% 2.37/0.73 % (1096620)Instruction limit reached!
% 2.37/0.73 % (1096620)------------------------------
% 2.37/0.73 % (1096620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (1096620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (1096620)CaDiCaL version: 2.1.3
% 2.37/0.73 % (1096620)Termination reason: Instruction limit
% 2.37/0.73 % (1096620)Termination phase: shuffling
% 2.37/0.73 % (1096620)Time elapsed: 0.019 s
% 2.37/0.73 % (1096620)Peak memory usage: 10 MB
% 2.37/0.73 % (1096620)Instructions burned: 45 (million)
% 2.37/0.73 % (1096627)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.37/0.73 % (1096626)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3539554919:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.37/0.73 % (1096627)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=747359168:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.37/0.73 % (1096626)Instruction limit reached!
% 2.37/0.73 % (1096626)------------------------------
% 2.37/0.73 % (1096626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (1096626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (1096626)CaDiCaL version: 2.1.3
% 2.37/0.73 % (1096626)Termination reason: Instruction limit
% 2.37/0.73 % (1096626)Termination phase: shuffling
% 2.37/0.73 % (1096626)Time elapsed: 0.010 s
% 2.37/0.73 % (1096626)Peak memory usage: 10 MB
% 2.37/0.73 % (1096626)Instructions burned: 23 (million)
% 2.37/0.73 % (1096619) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1096531-1096619"...
% 2.37/0.73 % (1096630)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1612381957:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.37/0.73 % (1096619)...printing done.
% 2.37/0.73 % (1096619)Refutation found. Thanks to Tanya!
% 2.37/0.73 % SZS status Theorem for theBenchmark
% 2.37/0.73 % SZS output start Proof for theBenchmark
% 2.37/0.73 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 2.37/0.73 thf(type_def_6, type, option: $tType > $tType).
% 2.37/0.73 thf(type_def_7, type, list: $tType > $tType).
% 2.37/0.73 thf(type_def_8, type, set: $tType > $tType).
% 2.37/0.73 thf(type_def_9, type, edgeD: $tType).
% 2.37/0.73 thf(type_def_10, type, node: $tType).
% 2.37/0.73 thf(type_def_11, type, val: $tType).
% 2.37/0.73 thf(type_def_12, type, g: $tType).
% 2.37/0.73 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 2.37/0.73 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 2.37/0.73 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 2.37/0.73 thf(func_def_2, type, linorder: !>[X0: $tType]:($o)).
% 2.37/0.73 thf(func_def_3, type, graph_1146196722h_path: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > list @ X1) > (X0 > $o) > (X0 > X1 > list @ product_prod @ X1 @ X2) > X0 > list @ X1 > $o))).
% 2.37/0.73 thf(func_def_4, type, graph_1661282752_path2: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > list @ X1) > (X0 > $o) > (X0 > X1 > list @ product_prod @ X1 @ X2) > X0 > X1 > list @ X1 > X1 > $o))).
% 2.37/0.73 thf(func_def_5, type, graph_1201503639essors: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > list @ product_prod @ X1 @ X2) > X0 > X1 > list @ X1))).
% 2.37/0.73 thf(func_def_6, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_7, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_8, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_9, type, nil: !>[X0: $tType]:(list @ X0)).
% 2.37/0.73 thf(func_def_10, type, hd: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_11, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 2.37/0.73 thf(func_def_12, type, tl: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_13, type, graph_pathsConverge: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > list @ X1) > (X0 > $o) > (X0 > X1 > list @ product_prod @ X1 @ X2) > X0 > X1 > list @ X1 > X1 > list @ X1 > X1 > $o))).
% 2.37/0.73 thf(func_def_14, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.37/0.73 thf(func_def_15, type, sSA_CFG_SSA_phiUses: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > list @ X1) > (X0 > X1 > list @ product_prod @ X1 @ X2) > (X0 > product_prod @ X1 @ X3 > option @ list @ X3) > X0 > X1 > set @ X3))).
% 2.37/0.73 thf(func_def_16, type, sSA_CF1081484811efNode: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > list @ X1) > (X0 > X1 > set @ X2) > (X0 > product_prod @ X1 @ X2 > option @ list @ X2) > X0 > X2 > X1))).
% 2.37/0.73 thf(func_def_17, type, sSA_CF1165125185phiArg: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > list @ X1) > (X0 > X1 > set @ X2) > (X0 > product_prod @ X1 @ X2 > option @ list @ X2) > X0 > X2 > X2 > $o))).
% 2.37/0.73 thf(func_def_18, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.37/0.73 thf(func_def_19, type, prefix: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.37/0.73 thf(func_def_20, type, suffix: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 2.37/0.73 thf(func_def_21, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.37/0.73 thf(func_def_22, type, alpha_n: (g > list @ node)).
% 2.37/0.73 thf(func_def_23, type, phi_r: val).
% 2.37/0.73 thf(func_def_24, type, defs: (g > node > set @ val)).
% 2.37/0.73 thf(func_def_25, type, g2: g).
% 2.37/0.73 thf(func_def_26, type, i: node).
% 2.37/0.73 thf(func_def_27, type, inEdges: (g > node > list @ product_prod @ node @ edgeD)).
% 2.37/0.73 thf(func_def_28, type, invar: (g > $o)).
% 2.37/0.73 thf(func_def_29, type, m: node).
% 2.37/0.73 thf(func_def_30, type, ms: list @ node).
% 2.37/0.73 thf(func_def_31, type, ms2: list @ node).
% 2.37/0.73 thf(func_def_32, type, n: node).
% 2.37/0.73 thf(func_def_33, type, ns: list @ node).
% 2.37/0.73 thf(func_def_34, type, phis: (g > product_prod @ node @ val > option @ list @ val)).
% 2.37/0.73 thf(func_def_35, type, pred_phi_r: node).
% 2.37/0.73 thf(func_def_36, type, r: val).
% 2.37/0.73 thf(func_def_37, type, ri: list @ node).
% 2.37/0.73 thf(func_def_38, type, rs: list @ node).
% 2.37/0.73 thf(func_def_39, type, rs_rest: list @ node).
% 2.37/0.73 thf(func_def_40, type, rs2: list @ node).
% 2.37/0.73 thf(func_def_41, type, s: val).
% 2.37/0.73 thf(func_def_42, type, tmp: list @ node).
% 2.37/0.73 thf(func_def_46, type, db0: !>[X0: $tType]:(X0)).
% 2.37/0.73 thf(func_def_47, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.37/0.73 thf(func_def_48, type, vAND: ($o > $o > $o)).
% 2.37/0.73 thf(func_def_49, type, db1: !>[X0: $tType]:(X0)).
% 2.37/0.73 thf(func_def_50, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.37/0.73 thf(func_def_51, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.37/0.73 thf(func_def_52, type, db2: !>[X0: $tType]:(X0)).
% 2.37/0.73 thf(func_def_53, type, sK0: (node > g > node > list @ node > list @ node)).
% 2.37/0.73 thf(func_def_54, type, sK1: (list @ node > g > (node > $o) > node > list @ node)).
% 2.37/0.73 thf(func_def_55, type, sK2: (list @ node > g > (node > $o) > node > node)).
% 2.37/0.73 thf(func_def_56, type, sK3: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_57, type, sK4: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_58, type, sK5: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.37/0.73 thf(func_def_59, type, sK6: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_60, type, sK7: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.37/0.73 thf(func_def_61, type, sK8: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_62, type, sK9: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.37/0.73 thf(func_def_63, type, sK10: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_64, type, sK11: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_65, type, sK12: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_66, type, sK13: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_67, type, sK14: list @ node).
% 2.37/0.73 thf(func_def_68, type, sK15: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_69, type, sK16: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_70, type, sK17: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_71, type, sK18: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_72, type, sK19: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_73, type, sK20: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.37/0.73 thf(func_def_74, type, sK21: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.37/0.73 thf(func_def_75, type, sK22: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.37/0.73 thf(func_def_76, type, sK23: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_77, type, sK24: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.37/0.73 thf(func_def_78, type, sK25: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_79, type, sK26: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.37/0.73 thf(func_def_80, type, sK27: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.37/0.73 thf(func_def_81, type, sK28: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_82, type, sK29: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_83, type, sK30: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.37/0.73 thf(func_def_84, type, sK31: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.37/0.73 thf(func_def_85, type, sK32: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_86, type, sK33: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_87, type, sK34: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > (X1 > X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_88, type, sK35: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > (X1 > X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_89, type, sK36: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > (X1 > X0 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_90, type, sK37: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > (X1 > X0 > $o) > X1))).
% 2.37/0.73 thf(func_def_91, type, sK38: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_92, type, sK39: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > (X1 > X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_93, type, sK40: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > (X1 > X0 > $o) > X1))).
% 2.37/0.73 thf(func_def_94, type, sK41: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > (X1 > X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_95, type, sK42: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > (X1 > X0 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_96, type, sK43: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_97, type, sK44: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_98, type, sK45: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_99, type, sK46: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_100, type, sK47: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_101, type, sK48: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_102, type, sK49: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 2.37/0.73 thf(func_def_103, type, sK50: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 2.37/0.73 thf(func_def_104, type, sK51: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 2.37/0.73 thf(func_def_105, type, sK52: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_106, type, sK53: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 2.37/0.73 thf(func_def_107, type, sK54: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_108, type, sK55: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_109, type, sK56: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 2.37/0.73 thf(func_def_110, type, sK57: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_111, type, sK58: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 2.37/0.73 thf(func_def_112, type, sK59: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.37/0.73 thf(func_def_113, type, sK60: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.37/0.73 thf(func_def_114, type, sK61: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_115, type, sK62: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_116, type, sK63: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.37/0.73 thf(func_def_117, type, sK64: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_118, type, sK65: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_119, type, sK66: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 2.37/0.73 thf(func_def_120, type, sK67: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_121, type, sK68: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_122, type, sK69: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_123, type, sK70: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_124, type, sK71: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_125, type, sK72: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_126, type, sK73: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_127, type, sK74: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_128, type, sK75: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_129, type, sK76: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_130, type, sK77: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_131, type, sK78: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_132, type, sK79: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.37/0.73 thf(func_def_133, type, sK80: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_134, type, sK81: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.37/0.73 thf(func_def_135, type, sK82: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.37/0.73 thf(func_def_136, type, sK83: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.37/0.73 thf(func_def_137, type, sK84: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_138, type, sK85: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_139, type, sK86: (list @ node > g > list @ node)).
% 2.37/0.73 thf(func_def_140, type, sK87: (list @ node > g > node)).
% 2.37/0.73 thf(func_def_141, type, sK88: (list @ node > g > node)).
% 2.37/0.73 thf(func_def_142, type, sK89: (g > node > list @ node > (node > $o) > node)).
% 2.37/0.73 thf(func_def_143, type, sK90: (g > node > list @ node > (node > $o) > list @ node)).
% 2.37/0.73 thf(func_def_144, type, sK91: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_145, type, sK92: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_146, type, sK93: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_147, type, sK94: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_148, type, sK95: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_149, type, sK96: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_150, type, sK97: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > X1) > list @ X0 > list @ X2 > $o) > X0))).
% 2.37/0.73 thf(func_def_151, type, sK98: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > X1) > list @ X0 > list @ X2 > $o) > X0 > X2 > X1))).
% 2.37/0.73 thf(func_def_152, type, sK99: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > X1) > list @ X0 > list @ X2 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_153, type, sK100: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > X1) > list @ X0 > list @ X2 > $o) > X2))).
% 2.37/0.73 thf(func_def_154, type, sK101: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > X1) > list @ X0 > list @ X2 > $o) > list @ X2))).
% 2.37/0.73 thf(func_def_155, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > X1) > list @ X0 > list @ X2 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_156, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > X1) > list @ X0 > list @ X2 > $o) > X0))).
% 2.37/0.73 thf(func_def_157, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > X1) > list @ X0 > list @ X2 > $o) > X0 > X2 > X1))).
% 2.37/0.73 thf(func_def_158, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > X1) > list @ X0 > list @ X2 > $o) > X0 > X2 > X1))).
% 2.37/0.73 thf(func_def_159, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > X1) > list @ X0 > list @ X2 > $o) > list @ X2))).
% 2.37/0.73 thf(func_def_160, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > X1) > list @ X0 > list @ X2 > $o) > X0 > X2 > X1))).
% 2.37/0.73 thf(func_def_161, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType]:((((X0 > X2 > X1) > list @ X0 > list @ X2 > $o) > X2))).
% 2.37/0.73 thf(func_def_162, type, sK109: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_163, type, sK110: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 2.37/0.73 thf(func_def_164, type, sK111: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_165, type, sK112: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_166, type, sK113: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_167, type, sK114: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_168, type, sK115: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_169, type, sK116: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_170, type, sK117: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 2.37/0.73 thf(func_def_171, type, sK118: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_172, type, sK119: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_173, type, sK120: (node > node > g > list @ node > list @ node)).
% 2.37/0.73 thf(func_def_174, type, sK121: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_175, type, sK122: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > list @ X0 > $o) > X0 > X0 > $o))).
% 2.37/0.73 thf(func_def_176, type, sK123: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > list @ X0 > $o) > X0 > X0 > $o))).
% 2.37/0.73 thf(func_def_177, type, sK124: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_178, type, sK125: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_179, type, sK126: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_180, type, sK127: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_181, type, sK128: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_182, type, sK129: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_183, type, sK130: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > list @ X0 > $o) > X0 > X0 > $o))).
% 2.37/0.73 thf(func_def_184, type, sK131: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_185, type, sK132: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_186, type, sK133: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_187, type, sK134: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 2.37/0.73 thf(func_def_188, type, sK135: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_189, type, sK136: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_190, type, sK137: node).
% 2.37/0.73 thf(func_def_191, type, sK138: list @ node).
% 2.37/0.73 thf(func_def_192, type, sK139: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > X0))).
% 2.37/0.73 thf(func_def_193, type, sK140: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_194, type, sK141: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_195, type, sK142: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_196, type, sK143: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_197, type, sK144: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_198, type, sK145: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_199, type, sK146: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_200, type, sK147: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_201, type, sK148: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > X0))).
% 2.37/0.73 thf(func_def_202, type, sK149: !>[X0: $tType]:((list @ X0 > set @ X0 > X0))).
% 2.37/0.73 thf(func_def_203, type, sK150: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_204, type, sK151: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 2.37/0.73 thf(func_def_205, type, sK152: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_206, type, sK153: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_207, type, sK154: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_208, type, sK155: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_209, type, sK156: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_210, type, sK157: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_211, type, sK158: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_212, type, sK159: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_213, type, sK160: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_214, type, sK161: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.37/0.73 thf(func_def_215, type, sK162: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 2.37/0.73 thf(func_def_216, type, sK163: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_217, type, sK164: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_218, type, sK165: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_219, type, sK166: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_220, type, sK167: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_221, type, sK168: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_222, type, sK169: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_223, type, sK170: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_224, type, sK171: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_225, type, sK172: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_226, type, sK173: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_227, type, sK174: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_228, type, sK175: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_229, type, sK176: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_230, type, sK177: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_231, type, sK178: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_232, type, sK179: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_233, type, sK180: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_234, type, sK181: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 2.37/0.73 thf(func_def_235, type, sK182: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_236, type, sK183: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_237, type, sK184: (g > list @ node > node)).
% 2.37/0.73 thf(func_def_238, type, sK185: (g > list @ node > list @ node)).
% 2.37/0.73 thf(func_def_239, type, sK186: (g > list @ node > node)).
% 2.37/0.73 thf(func_def_240, type, sK187: !>[X0: $tType, X1: $tType]:((((X1 > X0 > $o) > list @ X1 > list @ X0 > $o) > X1 > X0 > $o))).
% 2.37/0.73 thf(func_def_241, type, sK188: !>[X0: $tType, X1: $tType]:((((X1 > X0 > $o) > list @ X1 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_242, type, sK189: !>[X0: $tType, X1: $tType]:((((X1 > X0 > $o) > list @ X1 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_243, type, sK190: !>[X0: $tType, X1: $tType]:((((X1 > X0 > $o) > list @ X1 > list @ X0 > $o) > X1 > X0 > $o))).
% 2.37/0.73 thf(func_def_244, type, sK191: !>[X0: $tType, X1: $tType]:((((X1 > X0 > $o) > list @ X1 > list @ X0 > $o) > X1 > X0 > $o))).
% 2.37/0.73 thf(func_def_245, type, sK192: !>[X0: $tType, X1: $tType]:((((X1 > X0 > $o) > list @ X1 > list @ X0 > $o) > X1))).
% 2.37/0.73 thf(func_def_246, type, sK193: !>[X0: $tType, X1: $tType]:((((X1 > X0 > $o) > list @ X1 > list @ X0 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_247, type, sK194: !>[X0: $tType, X1: $tType]:((((X1 > X0 > $o) > list @ X1 > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_248, type, sK195: !>[X0: $tType, X1: $tType]:((((X1 > X0 > $o) > list @ X1 > list @ X0 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_249, type, sK196: !>[X0: $tType, X1: $tType]:((((X1 > X0 > $o) > list @ X1 > list @ X0 > $o) > X1))).
% 2.37/0.73 thf(func_def_250, type, sK197: !>[X0: $tType, X1: $tType]:((((X1 > X0 > $o) > list @ X1 > list @ X0 > $o) > X1 > X0 > $o))).
% 2.37/0.73 thf(func_def_251, type, sK198: !>[X0: $tType, X1: $tType]:((((X1 > X0 > $o) > list @ X1 > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_252, type, sK199: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_253, type, sK200: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_254, type, sK201: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 2.37/0.73 thf(func_def_255, type, sK202: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_256, type, sK203: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_257, type, sK204: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_258, type, sK205: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_259, type, sK206: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_260, type, sK207: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_261, type, sK208: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_262, type, sK209: (node > node > node > list @ node > g > list @ node)).
% 2.37/0.73 thf(func_def_263, type, sK210: (node > node > node > list @ node > g > list @ node)).
% 2.37/0.73 thf(func_def_264, type, sK211: !>[X0: $tType]:((X0 > list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_265, type, sK212: !>[X0: $tType]:((X0 > list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_266, type, sK213: !>[X0: $tType]:((X0 > list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_267, type, sK214: !>[X0: $tType]:((X0 > list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_268, type, sK215: !>[X0: $tType]:((X0 > list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_269, type, sK216: !>[X0: $tType]:((X0 > list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_270, type, sK217: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_271, type, sK218: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_272, type, sK219: (g > node > list @ node > node > node > list @ node)).
% 2.37/0.73 thf(func_def_273, type, sK220: (g > node > list @ node > node > node > list @ node)).
% 2.37/0.73 thf(func_def_274, type, sK221: (g > node > list @ node > node > node > list @ node)).
% 2.37/0.73 thf(func_def_275, type, sK222: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_276, type, sK223: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 2.37/0.73 thf(func_def_277, type, sK224: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_278, type, sK225: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_279, type, sK226: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_280, type, sK227: (node > (node > list @ node > node > $o) > g > node)).
% 2.37/0.73 thf(func_def_281, type, sK228: (node > (node > list @ node > node > $o) > g > list @ node)).
% 2.37/0.73 thf(func_def_282, type, sK229: (node > (node > list @ node > node > $o) > g > node)).
% 2.37/0.73 thf(func_def_283, type, sK230: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_284, type, sK231: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0 > X1))).
% 2.37/0.73 thf(func_def_285, type, sK232: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_286, type, sK233: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0 > X1))).
% 2.37/0.73 thf(func_def_287, type, sK234: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0 > X1))).
% 2.37/0.73 thf(func_def_288, type, sK235: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_289, type, sK236: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_290, type, sK237: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_291, type, sK238: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_292, type, sK239: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_293, type, sK240: (g > (list @ node > $o) > node)).
% 2.37/0.73 thf(func_def_294, type, sK241: (g > (list @ node > $o) > list @ node)).
% 2.37/0.73 thf(func_def_295, type, sK242: (g > (list @ node > $o) > node)).
% 2.37/0.73 thf(func_def_296, type, sK243: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_297, type, sK244: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 2.37/0.73 thf(func_def_298, type, sK245: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 2.37/0.73 thf(func_def_299, type, sK246: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_300, type, sK247: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_301, type, sK248: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 2.37/0.73 thf(func_def_302, type, sK249: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_303, type, sK250: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_304, type, sK251: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0 > X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_305, type, sK252: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0 > X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_306, type, sK253: (node > node > list @ node > g > node > list @ node)).
% 2.37/0.73 thf(func_def_307, type, sK254: (node > node > list @ node > g > node > list @ node)).
% 2.37/0.73 thf(func_def_308, type, sK255: list @ node).
% 2.37/0.73 thf(func_def_309, type, sK256: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.37/0.73 thf(func_def_310, type, sK257: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_311, type, sK258: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 2.37/0.73 thf(func_def_312, type, sK259: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 2.37/0.73 thf(func_def_313, type, sK260: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.37/0.73 thf(func_def_314, type, sK261: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_315, type, sK262: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 2.37/0.73 thf(func_def_316, type, sK263: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_317, type, sK264: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_318, type, sK265: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_319, type, sK266: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_320, type, sK267: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_321, type, sK268: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_322, type, sK269: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_323, type, sK270: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_324, type, sK271: list @ node).
% 2.37/0.73 thf(func_def_325, type, sK272: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_326, type, sK273: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_327, type, sK274: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_328, type, sK275: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_329, type, sK276: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_330, type, sK277: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 2.37/0.73 thf(func_def_331, type, sK278: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_332, type, sK279: !>[X0: $tType]:((list @ X0 > X0))).
% 2.37/0.73 thf(func_def_333, type, sK280: (g > (node > list @ node > node > $o) > node > node)).
% 2.37/0.73 thf(func_def_334, type, sK281: (g > (node > list @ node > node > $o) > node > node)).
% 2.37/0.73 thf(func_def_335, type, sK282: (g > (node > list @ node > node > $o) > node > list @ node)).
% 2.37/0.73 thf(func_def_336, type, sK283: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_337, type, sK284: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 2.37/0.73 thf(func_def_338, type, sK285: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_339, type, sK286: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_340, type, sK287: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 2.37/0.73 thf(func_def_341, type, sK288: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_342, type, sK289: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 2.37/0.73 thf(func_def_343, type, vNOT: ($o > $o)).
% 2.37/0.73 thf(f2,axiom,(
% 2.37/0.73 (rs = ((append @ node @ tmp @ (cons @ node @ i @ rs_rest))))),
% 2.37/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_rs_H__rest__def)).
% 2.37/0.73 thf(f4,axiom,(
% 2.37/0.73 ! [X5 : node,X2 : list @ node,X3 : node,X1 : node,X0 : g,X4 : list @ node] : ((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X0 @ X1 @ (append @ node @ X2 @ (cons @ node @ X3 @ X4)) @ X5) => (graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X0 @ X3 @ (cons @ node @ X3 @ X4) @ X5))),
% 2.37/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_old_Opath2__split_I2_J)).
% 2.37/0.73 thf(f6,axiom,(
% 2.37/0.73 (graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ (sSA_CF1081484811efNode @ g @ node @ val @ alpha_n @ defs @ phis @ g2 @ r) @ rs @ pred_phi_r)),
% 2.37/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_rs_H__props_I1_J)).
% 2.37/0.73 thf(f44,axiom,(
% 2.37/0.73 ! [X0 : $tType,X1 : X0,X4 : list @ X0,X3 : X0,X2 : list @ X0] : ((X2 = X4) & (X1 = X3) = (((cons @ X0 @ X1 @ X2)) = ((cons @ X0 @ X3 @ X4))))),
% 2.37/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_list_Oinject)).
% 2.37/0.73 thf(f264,conjecture,(
% 2.37/0.73 (graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r)),
% 2.37/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.37/0.73 thf(f265,negated_conjecture,(
% 2.37/0.73 ~(graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r)),
% 2.37/0.73 inference(negated_conjecture,[status(cth)],[f264])).
% 2.37/0.73 thf(f370,plain,(
% 2.37/0.73 ~(graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r)),
% 2.37/0.73 inference(rectify,[],[f265])).
% 2.37/0.73 thf(f371,plain,(
% 2.37/0.73 ~ (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r)) = $true)),
% 2.37/0.73 inference(fool_elimination,[],[f370])).
% 2.37/0.73 thf(f554,plain,(
% 2.37/0.73 ! [X0 : node,X1 : list @ node,X2 : node,X3 : node,X4 : g,X5 : list @ node] : ((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X4 @ X3 @ (append @ node @ X1 @ (cons @ node @ X2 @ X5)) @ X0) => (graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X4 @ X2 @ (cons @ node @ X2 @ X5) @ X0))),
% 2.37/0.73 inference(rectify,[],[f4])).
% 2.37/0.73 thf(f555,plain,(
% 2.37/0.73 ! [X2 : node,X3 : node,X0 : node,X1 : list @ node,X5 : list @ node,X4 : g] : (($true = ((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X4 @ X3 @ (append @ node @ X1 @ (cons @ node @ X2 @ X5)) @ X0))) => ($true = ((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X4 @ X2 @ (cons @ node @ X2 @ X5) @ X0))))),
% 2.37/0.73 inference(fool_elimination,[],[f554])).
% 2.37/0.73 thf(f573,plain,(
% 2.37/0.73 (graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ (sSA_CF1081484811efNode @ g @ node @ val @ alpha_n @ defs @ phis @ g2 @ r) @ rs @ pred_phi_r)),
% 2.37/0.73 inference(rectify,[],[f6])).
% 2.37/0.73 thf(f574,plain,(
% 2.37/0.73 (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ (sSA_CF1081484811efNode @ g @ node @ val @ alpha_n @ defs @ phis @ g2 @ r) @ rs @ pred_phi_r)) = $true)),
% 2.37/0.73 inference(fool_elimination,[],[f573])).
% 2.37/0.73 thf(f593,plain,(
% 2.37/0.73 ! [X0 : $tType,X1 : X0,X2 : list @ X0,X3 : X0,X4 : list @ X0] : ((X2 = X4) & (X1 = X3) = (((cons @ X0 @ X3 @ X2)) = ((cons @ X0 @ X1 @ X4))))),
% 2.37/0.73 inference(rectify,[],[f44])).
% 2.37/0.73 thf(f594,plain,(
% 2.37/0.73 ! [X0 : $tType,X4 : list @ X0,X2 : list @ X0,X3 : X0,X1 : X0] : (((X1 = X3) & (X2 = X4)) <=> (((cons @ X0 @ X3 @ X2)) = ((cons @ X0 @ X1 @ X4))))),
% 2.37/0.73 inference(fool_elimination,[],[f593])).
% 2.37/0.73 thf(f686,plain,(
% 2.37/0.73 (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r)) != $true)),
% 2.37/0.73 inference(flattening,[],[f371])).
% 2.37/0.73 thf(f853,plain,(
% 2.37/0.73 ! [X1 : list @ node,X4 : g,X0 : node,X5 : list @ node,X3 : node,X2 : node] : (($true = ((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X4 @ X2 @ (cons @ node @ X2 @ X5) @ X0))) | ($true != ((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X4 @ X3 @ (append @ node @ X1 @ (cons @ node @ X2 @ X5)) @ X0))))),
% 2.37/0.73 inference(ennf_transformation,[],[f555])).
% 2.37/0.73 thf(f1000,plain,(
% 2.37/0.73 ! [X0 : $tType,X4 : list @ X0,X2 : list @ X0,X3 : X0,X1 : X0] : ((((X1 = X3) & (X2 = X4)) | (((cons @ X0 @ X3 @ X2)) != ((cons @ X0 @ X1 @ X4)))) & ((((cons @ X0 @ X3 @ X2)) = ((cons @ X0 @ X1 @ X4))) | ((X1 != X3) | (X2 != X4))))),
% 2.37/0.73 inference(nnf_transformation,[],[f594])).
% 2.37/0.73 thf(f1001,plain,(
% 2.37/0.73 ! [X0 : $tType,X4 : list @ X0,X2 : list @ X0,X3 : X0,X1 : X0] : ((((X1 = X3) & (X2 = X4)) | (((cons @ X0 @ X3 @ X2)) != ((cons @ X0 @ X1 @ X4)))) & ((((cons @ X0 @ X3 @ X2)) = ((cons @ X0 @ X1 @ X4))) | (X1 != X3) | (X2 != X4)))),
% 2.37/0.73 inference(flattening,[],[f1000])).
% 2.37/0.73 thf(f1002,plain,(
% 2.37/0.73 ! [X0 : $tType,X1 : list @ X0,X2 : list @ X0,X3 : X0,X4 : X0] : ((((X3 = X4) & (X1 = X2)) | (((cons @ X0 @ X3 @ X2)) != ((cons @ X0 @ X4 @ X1)))) & ((((cons @ X0 @ X3 @ X2)) = ((cons @ X0 @ X4 @ X1))) | (X3 != X4) | (X1 != X2)))),
% 2.37/0.73 inference(rectify,[],[f1001])).
% 2.37/0.73 thf(f1131,plain,(
% 2.37/0.73 ! [X0 : list @ node,X1 : g,X2 : node,X3 : list @ node,X4 : node,X5 : node] : (($true = ((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X1 @ X5 @ (cons @ node @ X5 @ X3) @ X2))) | (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X1 @ X4 @ (append @ node @ X0 @ (cons @ node @ X5 @ X3)) @ X2)) != $true))),
% 2.37/0.73 inference(rectify,[],[f853])).
% 2.37/0.73 thf(f1328,plain,(
% 2.37/0.73 (rs = ((append @ node @ tmp @ (cons @ node @ i @ rs_rest))))),
% 2.37/0.73 inference(cnf_transformation,[],[f2])).
% 2.37/0.73 thf(f1357,plain,(
% 2.37/0.73 ( ! [X0 : $tType,X2 : list @ X0,X3 : X0,X1 : list @ X0,X4 : X0] : ((((cons @ X0 @ X3 @ X2)) != ((cons @ X0 @ X4 @ X1))) | (X3 = X4)) )),
% 2.37/0.73 inference(cnf_transformation,[],[f1002])).
% 2.37/0.73 thf(f1599,plain,(
% 2.37/0.73 ( ! [X2 : node,X3 : list @ node,X0 : list @ node,X1 : g,X4 : node,X5 : node] : ((((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X1 @ X4 @ (append @ node @ X0 @ (cons @ node @ X5 @ X3)) @ X2)) != $true) | ($true = ((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X1 @ X5 @ (cons @ node @ X5 @ X3) @ X2)))) )),
% 2.37/0.73 inference(cnf_transformation,[],[f1131])).
% 2.37/0.73 thf(f1640,plain,(
% 2.37/0.73 (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r)) != $true)),
% 2.37/0.73 inference(cnf_transformation,[],[f686])).
% 2.37/0.73 thf(f1749,plain,(
% 2.37/0.73 (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ (sSA_CF1081484811efNode @ g @ node @ val @ alpha_n @ defs @ phis @ g2 @ r) @ rs @ pred_phi_r)) = $true)),
% 2.37/0.73 inference(cnf_transformation,[],[f574])).
% 2.37/0.73 thf(f2112,definition,(
% 2.37/0.73 spl290_18 <=> (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ (sSA_CF1081484811efNode @ g @ node @ val @ alpha_n @ defs @ phis @ g2 @ r) @ rs @ pred_phi_r)) = $true)),
% 2.37/0.73 introduced(definition,[new_symbols(definition,[spl290_18])],[avatar_definition])).
% 2.37/0.73 thf(f2114,plain,(
% 2.37/0.73 (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ (sSA_CF1081484811efNode @ g @ node @ val @ alpha_n @ defs @ phis @ g2 @ r) @ rs @ pred_phi_r)) = $true) | ~spl290_18),
% 2.37/0.73 inference(avatar_component_clause,[],[f2112])).
% 2.37/0.73 thf(f2115,plain,(
% 2.37/0.73 spl290_18),
% 2.37/0.73 inference(avatar_split_clause,[],[f1749,f2112])).
% 2.37/0.73 thf(f2152,definition,(
% 2.37/0.73 spl290_26 <=> (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r)) = $true)),
% 2.37/0.73 introduced(definition,[new_symbols(definition,[spl290_26])],[avatar_definition])).
% 2.37/0.73 thf(f2154,plain,(
% 2.37/0.73 (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r)) != $true) | spl290_26),
% 2.37/0.73 inference(avatar_component_clause,[],[f2152])).
% 2.37/0.73 thf(f2155,plain,(
% 2.37/0.73 ~spl290_26),
% 2.37/0.73 inference(avatar_split_clause,[],[f1640,f2152])).
% 2.37/0.73 thf(f2167,definition,(
% 2.37/0.73 spl290_29 <=> (rs = ((append @ node @ tmp @ (cons @ node @ i @ rs_rest))))),
% 2.37/0.73 introduced(definition,[new_symbols(definition,[spl290_29])],[avatar_definition])).
% 2.37/0.73 thf(f2169,plain,(
% 2.37/0.73 (rs = ((append @ node @ tmp @ (cons @ node @ i @ rs_rest)))) | ~spl290_29),
% 2.37/0.73 inference(avatar_component_clause,[],[f2167])).
% 2.37/0.73 thf(f2170,plain,(
% 2.37/0.73 spl290_29),
% 2.37/0.73 inference(avatar_split_clause,[],[f1328,f2167])).
% 2.37/0.73 thf(f2217,plain,(
% 2.37/0.73 ( ! [X0 : list @ $o,X1 : list @ $o] : ((((cons @ $o @ $true @ X0)) != ((cons @ $o @ (graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r) @ X1)))) ) | spl290_26),
% 2.37/0.73 inference(unit_resulting_resolution,[],[f1357,f2154])).
% 2.37/0.73 thf(f2294,plain,(
% 2.37/0.73 ( ! [X0 : list @ $o,X1 : list @ $o] : ((((cons @ $o @ $true @ X1)) != ((cons @ $o @ $true @ X0))) | (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r)) = $false)) ) | spl290_26),
% 2.37/0.73 inference(fool_paramodulation,[],[f2217])).
% 2.37/0.73 thf(f2300,definition,(
% 2.37/0.73 spl290_45 <=> (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r)) = $false)),
% 2.37/0.73 introduced(definition,[new_symbols(definition,[spl290_45])],[avatar_definition])).
% 2.37/0.73 thf(f2302,plain,(
% 2.37/0.73 (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r)) = $false) | ~spl290_45),
% 2.37/0.73 inference(avatar_component_clause,[],[f2300])).
% 2.37/0.73 thf(f2304,definition,(
% 2.37/0.73 spl290_46 <=> ! [X0 : list @ $o,X1 : list @ $o] : (((cons @ $o @ $true @ X1)) != ((cons @ $o @ $true @ X0)))),
% 2.37/0.73 introduced(definition,[new_symbols(definition,[spl290_46])],[avatar_definition])).
% 2.37/0.73 thf(f2305,plain,(
% 2.37/0.73 ( ! [X0 : list @ $o,X1 : list @ $o] : ((((cons @ $o @ $true @ X1)) != ((cons @ $o @ $true @ X0)))) ) | ~spl290_46),
% 2.37/0.73 inference(avatar_component_clause,[],[f2304])).
% 2.37/0.73 thf(f2306,plain,(
% 2.37/0.73 spl290_45 | spl290_46 | spl290_26),
% 2.37/0.73 inference(avatar_split_clause,[],[f2294,f2152,f2304,f2300])).
% 2.37/0.73 thf(f2374,plain,(
% 2.37/0.73 ( ! [X2 : node,X0 : g,X1 : node] : ((((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X0 @ X1 @ rs @ X2)) != $true) | (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ X0 @ i @ (cons @ node @ i @ rs_rest) @ X2)) = $true)) ) | ~spl290_29),
% 2.37/0.73 inference(superposition,[],[f1599,f2169])).
% 2.37/0.73 thf(f2425,plain,(
% 2.37/0.73 $false | ~spl290_46),
% 2.37/0.73 inference(equality_resolution,[],[f2305])).
% 2.37/0.73 thf(f2426,plain,(
% 2.37/0.73 ~spl290_46),
% 2.37/0.73 inference(avatar_contradiction_clause,[],[f2425])).
% 2.37/0.73 thf(f2584,plain,(
% 2.37/0.73 (((graph_1661282752_path2 @ g @ node @ edgeD @ alpha_n @ invar @ inEdges @ g2 @ i @ (cons @ node @ i @ rs_rest) @ pred_phi_r)) = $true) | (~spl290_18 | ~spl290_29)),
% 2.37/0.73 inference(unit_resulting_resolution,[],[f2374,f2114])).
% 2.37/0.73 thf(f2590,plain,(
% 2.37/0.73 ($true = $false) | (~spl290_18 | ~spl290_29 | ~spl290_45)),
% 2.37/0.73 inference(forward_demodulation,[],[f2584,f2302])).
% 2.37/0.73 thf(f2591,plain,(
% 2.37/0.73 $false | (~spl290_18 | ~spl290_29 | ~spl290_45)),
% 2.37/0.73 inference(trivial_inequality_removal,[],[f2590])).
% 2.37/0.73 thf(f2592,plain,(
% 2.37/0.73 ~spl290_18 | ~spl290_29 | ~spl290_45),
% 2.37/0.73 inference(avatar_contradiction_clause,[],[f2591])).
% 2.37/0.73 cnf(s18, plain, spl290_18, inference(sat_conversion,[],[f2115])).
% 2.37/0.73 cnf(s26, plain, ~spl290_26, inference(sat_conversion,[],[f2155])).
% 2.37/0.73 cnf(s29, plain, spl290_29, inference(sat_conversion,[],[f2170])).
% 2.37/0.73 cnf(s55, plain, spl290_26 | spl290_45 | spl290_46, inference(sat_conversion,[],[f2306])).
% 2.37/0.73 cnf(s81, plain, ~spl290_46, inference(sat_conversion,[],[f2426])).
% 2.37/0.73 cnf(s107, plain, ~spl290_18 | ~spl290_29 | ~spl290_45, inference(sat_conversion,[],[f2592])).
% 2.37/0.73 cnf(s108, plain, spl290_26 | spl290_45, inference(rat,[],[s55,s81])).
% 2.37/0.73 cnf(s122, plain, spl290_45, inference(rat,[],[s108,s26])).
% 2.37/0.73 cnf(s123, plain, ~spl290_18, inference(rat,[],[s107,s29,s122])).
% 2.37/0.73 cnf(s124, plain, $false, inference(rat,[],[s18,s123])).
% 2.37/0.73 thf(f2593,plain,(
% 2.37/0.73 $false),
% 2.37/0.73 inference(avatar_sat_refutation,[],[s124])).
% 2.37/0.73 % SZS output end Proof for theBenchmark
% 2.37/0.73 % (1096619)------------------------------
% 2.37/0.73 % (1096619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (1096619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (1096619)CaDiCaL version: 2.1.3
% 2.37/0.73 % (1096619)Termination reason: Refutation
% 2.37/0.73 % (1096619)Time elapsed: 0.080 s
% 2.37/0.73 % (1096619)Peak memory usage: 16 MB
% 2.37/0.73 % (1096619)Instructions burned: 309 (million)
% 2.37/0.73 % (1096531)Success in time 0.421 s
% 2.37/0.73 % Vampire exiting
%------------------------------------------------------------------------------