%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP047^2 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:06 AM UTC 2026
% Result : Theorem 2.81s 0.94s
% Output : Refutation 2.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP047^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n007.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 19:39:56 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.33/0.43 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
% 0.94/0.63 % (3819899)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.94/0.63 % (3819921)lrs+10_16_si=on:nwc=1.5:random_seed=3343158606:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.94/0.63 % (3819926)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.94/0.63 % (3819926)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
% 0.94/0.63 % (3819921)Instruction limit reached!
% 0.94/0.63 % (3819921)------------------------------
% 0.94/0.63 % (3819921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.63 % (3819921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.63 % (3819921)CaDiCaL version: 2.1.3
% 0.94/0.63 % (3819921)Termination reason: Instruction limit
% 0.94/0.63 % (3819921)Termination phase: shuffling
% 0.94/0.63 % (3819921)Time elapsed: 0.004 s
% 0.94/0.63 % (3819921)Peak memory usage: 10 MB
% 0.94/0.63 % (3819921)Instructions burned: 20 (million)
% 0.94/0.63 % (3819920)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=454347936:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.94/0.63 % (3819924)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=593618402:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.94/0.63 % (3819925)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2602033149:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.94/0.63 % (3819926)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=1860791657:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.94/0.63 % (3819923)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=410054182: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)
% 0.94/0.63 % (3819928)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=731568045:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.94/0.63 % (3819928)Instruction limit reached!
% 0.94/0.63 % (3819928)------------------------------
% 0.94/0.63 % (3819928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.63 % (3819928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.63 % (3819928)CaDiCaL version: 2.1.3
% 0.94/0.63 % (3819928)Termination reason: Instruction limit
% 0.94/0.63 % (3819928)Termination phase: shuffling
% 0.94/0.63 % (3819928)Time elapsed: 0.0000 s
% 0.94/0.63 % (3819928)Peak memory usage: 10 MB
% 0.94/0.63 % (3819928)Instructions burned: 2 (million)
% 0.94/0.63 % (3819924)Instruction limit reached!
% 0.94/0.63 % (3819924)------------------------------
% 0.94/0.63 % (3819924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.63 % (3819924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.63 % (3819924)CaDiCaL version: 2.1.3
% 0.94/0.63 % (3819924)Termination reason: Instruction limit
% 0.94/0.63 % (3819924)Termination phase: shuffling
% 0.94/0.63 % (3819924)Time elapsed: 0.011 s
% 0.94/0.63 % (3819924)Peak memory usage: 10 MB
% 0.94/0.63 % (3819924)Instructions burned: 26 (million)
% 0.94/0.63 % (3819922)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3817440042:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.94/0.63 % (3819935)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1861761604:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.94/0.63 % (3819922)Instruction limit reached!
% 0.94/0.63 % (3819922)------------------------------
% 0.94/0.63 % (3819922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.63 % (3819922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.63 % (3819922)CaDiCaL version: 2.1.3
% 0.94/0.63 % (3819922)Termination reason: Instruction limit
% 0.94/0.63 % (3819922)Termination phase: shuffling
% 0.94/0.63 % (3819922)Time elapsed: 0.007 s
% 0.94/0.63 % (3819922)Peak memory usage: 10 MB
% 0.94/0.63 % (3819922)Instructions burned: 7 (million)
% 1.33/0.69 % (3819935)Instruction limit reached!
% 1.33/0.69 % (3819935)------------------------------
% 1.33/0.69 % (3819935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.69 % (3819935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.69 % (3819935)CaDiCaL version: 2.1.3
% 1.33/0.69 % (3819935)Termination reason: Instruction limit
% 1.33/0.69 % (3819935)Termination phase: shuffling
% 1.33/0.69 % (3819935)Time elapsed: 0.002 s
% 1.33/0.69 % (3819935)Peak memory usage: 10 MB
% 1.33/0.69 % (3819935)Instructions burned: 10 (million)
% 1.33/0.69 % (3819936)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.33/0.69 % (3819936)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=234390333:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.33/0.69 % (3819925)Instruction limit reached!
% 1.33/0.69 % (3819925)------------------------------
% 1.33/0.69 % (3819925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.69 % (3819925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.69 % (3819925)CaDiCaL version: 2.1.3
% 1.33/0.69 % (3819925)Termination reason: Instruction limit
% 1.33/0.69 % (3819925)Termination phase: shuffling
% 1.33/0.69 % (3819925)Time elapsed: 0.031 s
% 1.33/0.69 % (3819925)Peak memory usage: 11 MB
% 1.33/0.69 % (3819925)Instructions burned: 75 (million)
% 1.33/0.69 % (3819936)Instruction limit reached!
% 1.33/0.69 % (3819936)------------------------------
% 1.33/0.69 % (3819936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.69 % (3819936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.69 % (3819936)CaDiCaL version: 2.1.3
% 1.33/0.69 % (3819936)Termination reason: Instruction limit
% 1.33/0.69 % (3819936)Termination phase: shuffling
% 1.33/0.69 % (3819936)Time elapsed: 0.005 s
% 1.33/0.69 % (3819936)Peak memory usage: 10 MB
% 1.33/0.69 % (3819936)Instructions burned: 10 (million)
% 1.33/0.69 % (3819920)Instruction limit reached!
% 1.33/0.69 % (3819920)------------------------------
% 1.33/0.69 % (3819920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.69 % (3819920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.69 % (3819920)CaDiCaL version: 2.1.3
% 1.33/0.69 % (3819920)Termination reason: Instruction limit
% 1.33/0.69 % (3819920)Termination phase: shuffling
% 1.33/0.69 % (3819920)Time elapsed: 0.036 s
% 1.33/0.69 % (3819920)Peak memory usage: 11 MB
% 1.33/0.69 % (3819920)Instructions burned: 88 (million)
% 1.33/0.69 % (3819940)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
% 1.33/0.69 % (3819940)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.33/0.69 % (3819939)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2649999709:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.33/0.69 % (3819940)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2710648145:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.33/0.69 % (3819949)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.33/0.69 % (3819939)Instruction limit reached!
% 1.33/0.69 % (3819939)------------------------------
% 1.33/0.69 % (3819939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.69 % (3819939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.69 % (3819939)CaDiCaL version: 2.1.3
% 1.33/0.69 % (3819939)Termination reason: Instruction limit
% 1.33/0.69 % (3819939)Termination phase: shuffling
% 1.33/0.69 % (3819939)Time elapsed: 0.009 s
% 1.33/0.69 % (3819939)Peak memory usage: 10 MB
% 1.33/0.69 % (3819939)Instructions burned: 12 (million)
% 1.33/0.69 % (3819949)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=669664648:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.33/0.69 % (3819949)Instruction limit reached!
% 1.63/0.73 % (3819949)------------------------------
% 1.63/0.73 % (3819949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.73 % (3819949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.73 % (3819949)CaDiCaL version: 2.1.3
% 1.63/0.73 % (3819949)Termination reason: Instruction limit
% 1.63/0.73 % (3819949)Termination phase: shuffling
% 1.63/0.73 % (3819949)Time elapsed: 0.004 s
% 1.63/0.73 % (3819949)Peak memory usage: 10 MB
% 1.63/0.73 % (3819949)Instructions burned: 13 (million)
% 1.63/0.73 % (3819947)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=2457840072:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.63/0.73 % (3819948)lrs+10_1_si=on:cs=on:random_seed=2593513009:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.63/0.73 % (3819940)Instruction limit reached!
% 1.63/0.73 % (3819940)------------------------------
% 1.63/0.73 % (3819940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.73 % (3819940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.73 % (3819940)CaDiCaL version: 2.1.3
% 1.63/0.73 % (3819940)Termination reason: Instruction limit
% 1.63/0.73 % (3819940)Termination phase: shuffling
% 1.63/0.73 % (3819940)Time elapsed: 0.023 s
% 1.63/0.73 % (3819940)Peak memory usage: 10 MB
% 1.63/0.73 % (3819940)Instructions burned: 28 (million)
% 1.63/0.73 % (3819961)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1351560477:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.63/0.73 % (3819948)Instruction limit reached!
% 1.63/0.73 % (3819948)------------------------------
% 1.63/0.73 % (3819948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.73 % (3819948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.73 % (3819948)CaDiCaL version: 2.1.3
% 1.63/0.73 % (3819948)Termination reason: Instruction limit
% 1.63/0.73 % (3819948)Termination phase: shuffling
% 1.63/0.73 % (3819948)Time elapsed: 0.007 s
% 1.63/0.73 % (3819948)Peak memory usage: 10 MB
% 1.63/0.73 % (3819948)Instructions burned: 8 (million)
% 1.63/0.73 % (3819926)Instruction limit reached!
% 1.63/0.73 % (3819926)------------------------------
% 1.63/0.73 % (3819926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.73 % (3819926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.73 % (3819926)CaDiCaL version: 2.1.3
% 1.63/0.73 % (3819926)Termination reason: Instruction limit
% 1.63/0.73 % (3819926)Termination phase: Property scanning
% 1.63/0.73 % (3819926)Time elapsed: 0.081 s
% 1.63/0.73 % (3819926)Peak memory usage: 12 MB
% 1.63/0.73 % (3819926)Instructions burned: 158 (million)
% 1.63/0.73 % (3819960)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2979648925:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.63/0.73 % (3819964)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3938058015:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.63/0.73 % (3819973)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1113453289:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.63/0.73 % (3819960)Instruction limit reached!
% 1.63/0.73 % (3819960)------------------------------
% 1.63/0.73 % (3819960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.73 % (3819960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.73 % (3819960)CaDiCaL version: 2.1.3
% 1.63/0.73 % (3819960)Termination reason: Instruction limit
% 1.63/0.73 % (3819960)Termination phase: shuffling
% 1.63/0.73 % (3819960)Time elapsed: 0.028 s
% 1.63/0.73 % (3819960)Peak memory usage: 11 MB
% 1.63/0.73 % (3819960)Instructions burned: 38 (million)
% 1.63/0.73 % (3819964)Instruction limit reached!
% 1.63/0.73 % (3819964)------------------------------
% 1.63/0.73 % (3819964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.73 % (3819964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.73 % (3819975)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1493264278:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.07/0.83 % (3819964)CaDiCaL version: 2.1.3
% 2.07/0.83 % (3819964)Termination reason: Instruction limit
% 2.07/0.83 % (3819964)Termination phase: shuffling
% 2.07/0.83 % (3819964)Time elapsed: 0.017 s
% 2.07/0.83 % (3819964)Peak memory usage: 10 MB
% 2.07/0.83 % (3819964)Instructions burned: 25 (million)
% 2.07/0.83 % (3819973)Instruction limit reached!
% 2.07/0.83 % (3819973)------------------------------
% 2.07/0.83 % (3819973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.83 % (3819973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.83 % (3819973)CaDiCaL version: 2.1.3
% 2.07/0.83 % (3819973)Termination reason: Instruction limit
% 2.07/0.83 % (3819973)Termination phase: shuffling
% 2.07/0.83 % (3819973)Time elapsed: 0.012 s
% 2.07/0.83 % (3819973)Peak memory usage: 10 MB
% 2.07/0.83 % (3819973)Instructions burned: 14 (million)
% 2.07/0.83 % (3819947)Instruction limit reached!
% 2.07/0.83 % (3819947)------------------------------
% 2.07/0.83 % (3819947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.83 % (3819947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.83 % (3819947)CaDiCaL version: 2.1.3
% 2.07/0.83 % (3819947)Termination reason: Instruction limit
% 2.07/0.83 % (3819947)Termination phase: Property scanning
% 2.07/0.83 % (3819947)Time elapsed: 0.068 s
% 2.07/0.83 % (3819947)Peak memory usage: 11 MB
% 2.07/0.83 % (3819947)Instructions burned: 86 (million)
% 2.07/0.83 % (3819961)Instruction limit reached!
% 2.07/0.83 % (3819961)------------------------------
% 2.07/0.83 % (3819961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.83 % (3819961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.83 % (3819961)CaDiCaL version: 2.1.3
% 2.07/0.83 % (3819961)Termination reason: Instruction limit
% 2.07/0.83 % (3819961)Termination phase: Function definition elimination
% 2.07/0.83 % (3819961)Time elapsed: 0.068 s
% 2.07/0.83 % (3819961)Peak memory usage: 13 MB
% 2.07/0.83 % (3819961)Instructions burned: 250 (million)
% 2.07/0.83 % (3819984)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2830097091:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.07/0.83 % (3819996)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2786252279:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.07/0.83 % (3819988)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2605843658:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.07/0.83 % (3819987)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3496749807: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)
% 2.07/0.83 % (3819987)Instruction limit reached!
% 2.07/0.83 % (3819987)------------------------------
% 2.07/0.83 % (3819987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.83 % (3819987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.83 % (3819987)CaDiCaL version: 2.1.3
% 2.07/0.83 % (3819987)Termination reason: Instruction limit
% 2.07/0.83 % (3819987)Termination phase: shuffling
% 2.07/0.83 % (3819987)Time elapsed: 0.003 s
% 2.07/0.83 % (3819987)Peak memory usage: 10 MB
% 2.07/0.83 % (3819987)Instructions burned: 3 (million)
% 2.07/0.83 % (3819984)Instruction limit reached!
% 2.07/0.83 % (3819984)------------------------------
% 2.07/0.83 % (3819984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.83 % (3819984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.83 % (3819984)CaDiCaL version: 2.1.3
% 2.07/0.83 % (3819984)Termination reason: Instruction limit
% 2.07/0.83 % (3819984)Termination phase: shuffling
% 2.07/0.83 % (3819984)Time elapsed: 0.011 s
% 2.07/0.83 % (3819984)Peak memory usage: 10 MB
% 2.07/0.83 % (3819984)Instructions burned: 14 (million)
% 2.07/0.83 % (3819991)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=400072946:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.07/0.83 % (3819996)Instruction limit reached!
% 2.07/0.83 % (3819996)------------------------------
% 2.07/0.83 % (3819996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.83 % (3819996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.83 % (3819996)CaDiCaL version: 2.1.3
% 2.81/0.90 % (3819996)Termination reason: Instruction limit
% 2.81/0.90 % (3819996)Termination phase: shuffling
% 2.81/0.90 % (3819996)Time elapsed: 0.022 s
% 2.81/0.90 % (3819996)Peak memory usage: 11 MB
% 2.81/0.90 % (3819996)Instructions burned: 60 (million)
% 2.81/0.90 % (3819988)Instruction limit reached!
% 2.81/0.90 % (3819988)------------------------------
% 2.81/0.90 % (3819988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.90 % (3819988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.90 % (3819988)CaDiCaL version: 2.1.3
% 2.81/0.90 % (3819988)Termination reason: Instruction limit
% 2.81/0.90 % (3819988)Termination phase: shuffling
% 2.81/0.90 % (3819988)Time elapsed: 0.022 s
% 2.81/0.90 % (3819988)Peak memory usage: 10 MB
% 2.81/0.90 % (3819988)Instructions burned: 27 (million)
% 2.81/0.90 % (3820003)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
% 2.81/0.90 % (3820003)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.81/0.90 % (3820003)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=3249467085:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.81/0.90 % (3819991)Instruction limit reached!
% 2.81/0.90 % (3819991)------------------------------
% 2.81/0.90 % (3819991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.90 % (3819991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.90 % (3819991)CaDiCaL version: 2.1.3
% 2.81/0.90 % (3819991)Termination reason: Instruction limit
% 2.81/0.90 % (3819991)Termination phase: shuffling
% 2.81/0.90 % (3819991)Time elapsed: 0.017 s
% 2.81/0.90 % (3819991)Peak memory usage: 10 MB
% 2.81/0.90 % (3819991)Instructions burned: 23 (million)
% 2.81/0.90 % (3820004)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.81/0.90 % (3820003)Instruction limit reached!
% 2.81/0.90 % (3820003)------------------------------
% 2.81/0.90 % (3820003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.90 % (3820003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.90 % (3820003)CaDiCaL version: 2.1.3
% 2.81/0.90 % (3820003)Termination reason: Instruction limit
% 2.81/0.90 % (3820003)Termination phase: shuffling
% 2.81/0.90 % (3820003)Time elapsed: 0.008 s
% 2.81/0.90 % (3820003)Peak memory usage: 10 MB
% 2.81/0.90 % (3820003)Instructions burned: 14 (million)
% 2.81/0.90 % (3820004)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=18646227:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.81/0.90 % (3820004)Instruction limit reached!
% 2.81/0.90 % (3820004)------------------------------
% 2.81/0.90 % (3820004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.90 % (3820004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.90 % (3820004)CaDiCaL version: 2.1.3
% 2.81/0.90 % (3820004)Termination reason: Instruction limit
% 2.81/0.90 % (3820004)Termination phase: shuffling
% 2.81/0.90 % (3820004)Time elapsed: 0.007 s
% 2.81/0.90 % (3820004)Peak memory usage: 10 MB
% 2.81/0.90 % (3820004)Instructions burned: 9 (million)
% 2.81/0.90 % (3820016)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=328218621:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.81/0.90 % (3820017)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=165235917:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.81/0.90 % (3820011)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=1728728024:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.81/0.90 % (3820012)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3020166689:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.81/0.90 % (3820012)Instruction limit reached!
% 2.81/0.90 % (3820012)------------------------------
% 2.81/0.90 % (3820012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.94 % (3820012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.94 % (3820012)CaDiCaL version: 2.1.3
% 2.81/0.94 % (3820012)Termination reason: Instruction limit
% 2.81/0.94 % (3820012)Termination phase: shuffling
% 2.81/0.94 % (3820012)Time elapsed: 0.006 s
% 2.81/0.94 % (3820012)Peak memory usage: 10 MB
% 2.81/0.94 % (3820012)Instructions burned: 7 (million)
% 2.81/0.94 % (3820017)Instruction limit reached!
% 2.81/0.94 % (3820017)------------------------------
% 2.81/0.94 % (3820017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.94 % (3820017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.94 % (3820017)CaDiCaL version: 2.1.3
% 2.81/0.94 % (3820017)Termination reason: Instruction limit
% 2.81/0.94 % (3820017)Termination phase: shuffling
% 2.81/0.94 % (3820017)Time elapsed: 0.009 s
% 2.81/0.94 % (3820017)Peak memory usage: 10 MB
% 2.81/0.94 % (3820017)Instructions burned: 22 (million)
% 2.81/0.94 % (3820016)Instruction limit reached!
% 2.81/0.94 % (3820016)------------------------------
% 2.81/0.94 % (3820016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.94 % (3820016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.94 % (3820016)CaDiCaL version: 2.1.3
% 2.81/0.94 % (3820016)Termination reason: Instruction limit
% 2.81/0.94 % (3820016)Termination phase: shuffling
% 2.81/0.94 % (3820016)Time elapsed: 0.021 s
% 2.81/0.94 % (3820016)Peak memory usage: 10 MB
% 2.81/0.94 % (3820016)Instructions burned: 24 (million)
% 2.81/0.94 % (3820011)Instruction limit reached!
% 2.81/0.94 % (3820011)------------------------------
% 2.81/0.94 % (3820011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.94 % (3820020)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2148824436:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.81/0.94 % (3820011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.94 % (3820011)CaDiCaL version: 2.1.3
% 2.81/0.94 % (3820011)Termination reason: Instruction limit
% 2.81/0.94 % (3820011)Termination phase: shuffling
% 2.81/0.94 % (3820011)Time elapsed: 0.025 s
% 2.81/0.94 % (3820011)Peak memory usage: 10 MB
% 2.81/0.94 % (3820011)Instructions burned: 31 (million)
% 2.81/0.94 % (3820030)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3880625437:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.81/0.94 % (3820029)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3406843057:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.81/0.94 % (3820032)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1734696794:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.81/0.94 % (3820036)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.81/0.94 % (3820036)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=44184584:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.81/0.94 % (3820036)Instruction limit reached!
% 2.81/0.94 % (3820036)------------------------------
% 2.81/0.94 % (3820036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.94 % (3820036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.94 % (3820036)CaDiCaL version: 2.1.3
% 2.81/0.94 % (3820036)Termination reason: Instruction limit
% 2.81/0.94 % (3820036)Termination phase: shuffling
% 2.81/0.94 % (3820036)Time elapsed: 0.007 s
% 2.81/0.94 % (3820036)Peak memory usage: 10 MB
% 2.81/0.94 % (3820036)Instructions burned: 8 (million)
% 2.81/0.94 % (3820032)Instruction limit reached!
% 2.81/0.94 % (3820032)------------------------------
% 2.81/0.94 % (3820032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.94 % (3820032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.94 % (3820032)CaDiCaL version: 2.1.3
% 2.81/0.94 % (3820032)Termination reason: Instruction limit
% 2.81/0.94 % (3820032)Termination phase: shuffling
% 2.81/0.94 % (3820032)Time elapsed: 0.031 s
% 2.81/0.94 % (3820032)Peak memory usage: 10 MB
% 2.81/0.94 % (3820032)Instructions burned: 42 (million)
% 2.81/0.94 % (3820048)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=474668551:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.81/0.94 % (3820030)Instruction limit reached!
% 2.81/0.94 % (3820030)------------------------------
% 2.81/0.94 % (3820030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.94 % (3820030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.94 % (3820030)CaDiCaL version: 2.1.3
% 2.81/0.94 % (3820030)Termination reason: Instruction limit
% 2.81/0.94 % (3820030)Termination phase: SInE selection
% 2.81/0.94 % (3820030)Time elapsed: 0.073 s
% 2.81/0.94 % (3820030)Peak memory usage: 12 MB
% 2.81/0.94 % (3820030)Instructions burned: 195 (million)
% 2.81/0.94 % (3820055)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=4067851738:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.81/0.94 % (3820059)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.81/0.94 % (3820059)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3856992902:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.81/0.94 % (3820059)Instruction limit reached!
% 2.81/0.94 % (3820059)------------------------------
% 2.81/0.94 % (3820059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.94 % (3820059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.94 % (3820059)CaDiCaL version: 2.1.3
% 2.81/0.94 % (3820059)Termination reason: Instruction limit
% 2.81/0.94 % (3820059)Termination phase: shuffling
% 2.81/0.94 % (3820059)Time elapsed: 0.003 s
% 2.81/0.94 % (3820059)Peak memory usage: 10 MB
% 2.81/0.94 % (3820059)Instructions burned: 7 (million)
% 2.81/0.94 % (3819975)Instruction limit reached!
% 2.81/0.94 % (3819975)------------------------------
% 2.81/0.94 % (3819975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.94 % (3819975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.94 % (3819975)CaDiCaL version: 2.1.3
% 2.81/0.94 % (3819975)Termination reason: Instruction limit
% 2.81/0.94 % (3819975)Termination phase: Property scanning
% 2.81/0.94 % (3819975)Time elapsed: 0.231 s
% 2.81/0.94 % (3819975)Peak memory usage: 14 MB
% 2.81/0.94 % (3819975)Instructions burned: 328 (million)
% 2.81/0.94 % (3820068)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3205864716:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 2.81/0.94 % (3820029)Instruction limit reached!
% 2.81/0.94 % (3820029)------------------------------
% 2.81/0.94 % (3820029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.94 % (3820029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.94 % (3820029)CaDiCaL version: 2.1.3
% 2.81/0.94 % (3820029)Termination reason: Instruction limit
% 2.81/0.94 % (3820029)Termination phase: shuffling
% 2.81/0.94 % (3820029)Time elapsed: 0.104 s
% 2.81/0.94 % (3820029)Peak memory usage: 12 MB
% 2.81/0.94 % (3820029)Instructions burned: 144 (million)
% 2.81/0.94 % (3820068)Instruction limit reached!
% 2.81/0.94 % (3820068)------------------------------
% 2.81/0.94 % (3820068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.94 % (3820068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.94 % (3820068)CaDiCaL version: 2.1.3
% 2.81/0.94 % (3820068)Termination reason: Instruction limit
% 2.81/0.94 % (3820068)Termination phase: shuffling
% 2.81/0.94 % (3820068)Time elapsed: 0.009 s
% 2.81/0.94 % (3820068)Peak memory usage: 10 MB
% 2.81/0.94 % (3820068)Instructions burned: 22 (million)
% 2.81/0.94 % (3820071)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2556448578:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 2.81/0.94 % (3820071)Instruction limit reached!
% 2.81/0.94 % (3820071)------------------------------
% 2.81/0.94 % (3820071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.94 % (3820071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.94 % (3820071)CaDiCaL version: 2.1.3
% 2.81/0.94 % (3820071)Termination reason: Instruction limit
% 2.81/0.94 % (3820071)Termination phase: shuffling
% 2.81/0.94 % (3820071)Time elapsed: 0.011 s
% 2.81/0.94 % (3820071)Peak memory usage: 10 MB
% 2.81/0.94 % (3820071)Instructions burned: 20 (million)
% 2.81/0.94 % (3820074)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=3008318315:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 2.81/0.94 % (3820076)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=68512974:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 2.81/0.94 % (3820080)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=4269398770:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 2.81/0.94 % (3819923) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3819899-3819923"...
% 2.81/0.94 % (3819923)...printing done.
% 2.81/0.94 % (3819923)Refutation found. Thanks to Tanya!
% 2.81/0.94 % SZS status Theorem for theBenchmark
% 2.81/0.94 % SZS output start Proof for theBenchmark
% 2.81/0.94 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 2.81/0.94 thf(type_def_6, type, sum_sum: ($tType * $tType) > $tType).
% 2.81/0.94 thf(type_def_7, type, option: $tType > $tType).
% 2.81/0.94 thf(type_def_8, type, const: $tType).
% 2.81/0.94 thf(type_def_9, type, cntxt: ($tType * $tType * $tType) > $tType).
% 2.81/0.94 thf(type_def_10, type, expr: ($tType * $tType * $tType) > $tType).
% 2.81/0.94 thf(type_def_11, type, val: ($tType * $tType * $tType) > $tType).
% 2.81/0.94 thf(type_def_12, type, set: $tType > $tType).
% 2.81/0.94 thf(type_def_13, type, v: $tType).
% 2.81/0.94 thf(type_def_14, type, r: $tType).
% 2.81/0.94 thf(type_def_15, type, l: $tType).
% 2.81/0.94 thf(type_def_16, type, sTfun: ($tType * $tType) > $tType).
% 2.81/0.94 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 2.81/0.94 thf(func_def_1, type, order: !>[X0: $tType]:($o)).
% 2.81/0.94 thf(func_def_2, type, finite_finite: !>[X0: $tType]:($o)).
% 2.81/0.94 thf(func_def_3, type, semiring_char_0: !>[X0: $tType]:($o)).
% 2.81/0.94 thf(func_def_4, type, lID_expression: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > expr @ X1 @ X0 @ X2))).
% 2.81/0.94 thf(func_def_5, type, lID_local_store: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > X0 > option @ val @ X1 @ X0 @ X2))).
% 2.81/0.94 thf(func_def_6, type, lID_snapshot: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > X0 > option @ val @ X1 @ X0 @ X2))).
% 2.81/0.94 thf(func_def_7, type, combine: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > (X0 > option @ X1) > X0 > option @ X1))).
% 2.81/0.94 thf(func_def_8, type, unit: const).
% 2.81/0.94 thf(func_def_9, type, ref: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 2.81/0.94 thf(func_def_10, type, rfork: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 2.81/0.94 thf(func_def_11, type, rjoin: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 2.81/0.94 thf(func_def_12, type, ve: !>[X0: $tType, X1: $tType, X2: $tType]:((val @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 2.81/0.94 thf(func_def_13, type, plug: !>[X0: $tType, X1: $tType, X2: $tType]:((cntxt @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 2.81/0.94 thf(func_def_14, type, cv: !>[X0: $tType, X1: $tType, X2: $tType]:((const > val @ X0 @ X1 @ X2))).
% 2.81/0.94 thf(func_def_15, type, loc: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > val @ X1 @ X0 @ X2))).
% 2.81/0.94 thf(func_def_16, type, rid: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > val @ X0 @ X1 @ X2))).
% 2.81/0.94 thf(func_def_17, type, execution: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > expr @ X0 @ X1 @ X2 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 2.81/0.94 thf(func_def_18, type, inductive_invariant: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > ((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o) > $o))).
% 2.81/0.94 thf(func_def_19, type, reachable: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 2.81/0.94 thf(func_def_20, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 2.81/0.94 thf(func_def_21, type, bij_betw: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > $o))).
% 2.81/0.94 thf(func_def_22, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 2.81/0.94 thf(func_def_23, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 2.81/0.94 thf(func_def_24, type, map_comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ X1) > (X2 > option @ X0) > X2 > option @ X1))).
% 2.81/0.94 thf(func_def_25, type, lID_G: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > set @ X1))).
% 2.81/0.94 thf(func_def_26, type, lID_L: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > set @ X0))).
% 2.81/0.94 thf(func_def_27, type, rID_G: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > set @ X0))).
% 2.81/0.94 thf(func_def_28, type, rID_L: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > set @ X1))).
% 2.81/0.94 thf(func_def_29, type, domains_subsume: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > $o))).
% 2.81/0.94 thf(func_def_30, type, domain398919503obally: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 2.81/0.94 thf(func_def_31, type, revision_step: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 2.81/0.94 thf(func_def_32, type, revisi1433015572elaxed: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 2.81/0.94 thf(func_def_33, type, subsumes_accessible: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 2.81/0.94 thf(func_def_34, type, subsum380726323obally: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 2.81/0.94 thf(func_def_35, type, none: !>[X0: $tType]:(option @ X0)).
% 2.81/0.94 thf(func_def_36, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 2.81/0.94 thf(func_def_37, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.81/0.94 thf(func_def_38, type, top_top: !>[X0: $tType]:(X0)).
% 2.81/0.94 thf(func_def_39, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 2.81/0.94 thf(func_def_40, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.81/0.94 thf(func_def_41, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.81/0.94 thf(func_def_42, type, r_G: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X0) > (X1 > X1) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2))).
% 2.81/0.94 thf(func_def_43, type, r_L: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X0) > (X1 > X1) > product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2 > product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2))).
% 2.81/0.94 thf(func_def_44, type, eq_states: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 2.81/0.94 thf(func_def_45, type, is_global_renaming: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X0) > (X1 > X1) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o))).
% 2.81/0.94 thf(func_def_46, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.81/0.94 thf(func_def_47, type, substitution: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > $o))).
% 2.81/0.94 thf(func_def_48, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.81/0.94 thf(func_def_49, type, e: cntxt @ r @ l @ v).
% 2.81/0.94 thf(func_def_50, type, alpha: (r > r)).
% 2.81/0.94 thf(func_def_51, type, beta: (l > l)).
% 2.81/0.94 thf(func_def_52, type, sigma: (l > option @ val @ r @ l @ v)).
% 2.81/0.94 thf(func_def_53, type, tau: (l > option @ val @ r @ l @ v)).
% 2.81/0.94 thf(func_def_54, type, e2: expr @ r @ l @ v).
% 2.81/0.94 thf(func_def_55, type, r2: r).
% 2.81/0.94 thf(func_def_56, type, r3: r).
% 2.81/0.94 thf(func_def_57, type, s: (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.94 thf(func_def_58, type, s2: (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.94 thf(func_def_59, type, subst: (expr @ r @ l @ v > v > expr @ r @ l @ v > expr @ r @ l @ v)).
% 2.81/0.94 thf(func_def_63, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.81/0.94 thf(func_def_64, type, vAND: ($o > $o > $o)).
% 2.81/0.94 thf(func_def_65, type, db0: !>[X0: $tType]:(X0)).
% 2.81/0.94 thf(func_def_66, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.81/0.94 thf(func_def_67, type, db1: !>[X0: $tType]:(X0)).
% 2.81/0.94 thf(func_def_68, type, vOR: ($o > $o > $o)).
% 2.81/0.94 thf(func_def_69, type, db2: !>[X0: $tType]:(X0)).
% 2.81/0.94 thf(func_def_70, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.81/0.94 thf(func_def_71, type, db3: !>[X0: $tType]:(X0)).
% 2.81/0.94 thf(func_def_72, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.81/0.94 thf(func_def_73, type, vIMP: ($o > $o > $o)).
% 2.81/0.94 thf(func_def_74, type, db4: !>[X0: $tType]:(X0)).
% 2.81/0.94 thf(func_def_75, type, vNOT: ($o > $o)).
% 2.81/0.94 thf(func_def_76, type, sK0: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 2.81/0.94 thf(func_def_77, type, sK1: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > val @ r @ l @ v)).
% 2.81/0.94 thf(func_def_78, type, sK2: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_79, type, sK3: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > cntxt @ r @ l @ v)).
% 2.81/0.95 thf(func_def_80, type, sK4: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.81/0.95 thf(func_def_81, type, sK5: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_82, type, sK6: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_83, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0 > X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_84, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0 > X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_85, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X0) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ X1 > X1 > option @ val @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_86, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X0) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ X1 > X1))).
% 2.81/0.95 thf(func_def_87, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X0) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ X1 > X0 > X0))).
% 2.81/0.95 thf(func_def_88, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > X0) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ X1 > X1 > X1))).
% 2.81/0.95 thf(func_def_89, type, sK13: ((l > option @ val @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (l > option @ val @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > val @ r @ l @ v > cntxt @ r @ l @ v > l)).
% 2.81/0.95 thf(func_def_90, type, sK14: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > option @ X0) @ product_prod @ (X1 > option @ X0) @ X1 > X1 > option @ X0))).
% 2.81/0.95 thf(func_def_91, type, sK15: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > option @ X0) @ product_prod @ (X1 > option @ X0) @ X1 > X1))).
% 2.81/0.95 thf(func_def_92, type, sK16: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > option @ X0) @ product_prod @ (X1 > option @ X0) @ X1 > X1 > option @ X0))).
% 2.81/0.95 thf(func_def_93, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X1) @ product_prod @ (X0 > X0) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > X1 > X1))).
% 2.81/0.95 thf(func_def_94, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X1) @ product_prod @ (X0 > X0) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > X0 > X0))).
% 2.81/0.95 thf(func_def_95, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X1) @ product_prod @ (X0 > X0) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > X0 > option @ val @ X1 @ X0 @ X2))).
% 2.81/0.95 thf(func_def_96, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X1) @ product_prod @ (X0 > X0) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > expr @ X1 @ X0 @ X2))).
% 2.81/0.95 thf(func_def_97, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > X1) @ product_prod @ (X0 > X0) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > X0 > option @ val @ X1 @ X0 @ X2))).
% 2.81/0.95 thf(func_def_98, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X6 @ X5 > $o) > X4))).
% 2.81/0.95 thf(func_def_99, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X6 @ X5 > $o) > X3))).
% 2.81/0.95 thf(func_def_100, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X6 @ X5 > $o) > X1))).
% 2.81/0.95 thf(func_def_101, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X6 @ X5 > $o) > X5))).
% 2.81/0.95 thf(func_def_102, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X6 @ X5 > $o) > X2))).
% 2.81/0.95 thf(func_def_103, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X6 @ X5 > $o) > X0))).
% 2.81/0.95 thf(func_def_104, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X6 @ X5 > $o) > X6))).
% 2.81/0.95 thf(func_def_105, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > (expr @ X2 @ X0 @ X1 > X1 > expr @ X2 @ X0 @ X1 > expr @ X2 @ X0 @ X1) > X2 > X2 > (X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1))).
% 2.81/0.95 thf(func_def_106, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > (expr @ X2 @ X0 @ X1 > X1 > expr @ X2 @ X0 @ X1 > expr @ X2 @ X0 @ X1) > X2 > X2 > (X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1))).
% 2.81/0.95 thf(func_def_107, type, sK31: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r)).
% 2.81/0.95 thf(func_def_108, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ X1 > X2))).
% 2.81/0.95 thf(func_def_109, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ X1 > X0))).
% 2.81/0.95 thf(func_def_110, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ X1 > X4))).
% 2.81/0.95 thf(func_def_111, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ X1 > X6))).
% 2.81/0.95 thf(func_def_112, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ X1 > X5))).
% 2.81/0.95 thf(func_def_113, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ X1 > X3))).
% 2.81/0.95 thf(func_def_114, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ X1 > X1))).
% 2.81/0.95 thf(func_def_115, type, sK39: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_116, type, sK40: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_117, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > X2) > (X1 > X1) > product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > $o) > X1 > option @ val @ X2 @ X1 @ X0))).
% 2.81/0.95 thf(func_def_118, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > X2) > (X1 > X1) > product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > $o) > X2 > X2))).
% 2.81/0.95 thf(func_def_119, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > X2) > (X1 > X1) > product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > $o) > X1 > option @ val @ X2 @ X1 @ X0))).
% 2.81/0.95 thf(func_def_120, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > X2) > (X1 > X1) > product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > $o) > X1 > X1))).
% 2.81/0.95 thf(func_def_121, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > X2) > (X1 > X1) > product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > $o) > expr @ X2 @ X1 @ X0))).
% 2.81/0.95 thf(func_def_122, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0))).
% 2.81/0.95 thf(func_def_123, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_124, type, sK48: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_125, type, sK49: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_126, type, sK50: !>[X0: $tType, X1: $tType]:((X0 > (X1 > X0) > X1))).
% 2.81/0.95 thf(func_def_127, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > expr @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_128, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X1 > option @ val @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_129, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X1 > option @ val @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_130, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > cntxt @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_131, type, sK55: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X0 > X1 > $o) > X0))).
% 2.81/0.95 thf(func_def_132, type, sK56: !>[X0: $tType, X1: $tType]:((set @ X1 > set @ X0 > (X0 > X1 > $o) > X1))).
% 2.81/0.95 thf(func_def_133, type, sK57: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X0 > X1))).
% 2.81/0.95 thf(func_def_134, type, sK58: !>[X0: $tType, X1: $tType]:((((X1 > X0) > $o) > X0 > X1))).
% 2.81/0.95 thf(func_def_135, type, sK59: !>[X0: $tType, X1: $tType]:((((X1 > X0) > $o) > X0 > X0))).
% 2.81/0.95 thf(func_def_136, type, sK60: !>[X0: $tType, X1: $tType]:((((X1 > X0) > $o) > X0 > X1 > X0))).
% 2.81/0.95 thf(func_def_137, type, sK61: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_138, type, sK62: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_139, type, sK63: !>[X0: $tType]:((option @ X0 > X0))).
% 2.81/0.95 thf(func_def_140, type, sK64: !>[X0: $tType]:((X0 > set @ X0 > X0))).
% 2.81/0.95 thf(func_def_141, type, sK65: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_142, type, sK66: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_143, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 2.81/0.95 thf(func_def_144, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X3))).
% 2.81/0.95 thf(func_def_145, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 2.81/0.95 thf(func_def_146, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 2.81/0.95 thf(func_def_147, type, sK71: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_148, type, sK72: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > cntxt @ r @ l @ v)).
% 2.81/0.95 thf(func_def_149, type, sK73: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_150, type, sK74: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_151, type, sK75: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_152, type, sK76: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > cntxt @ r @ l @ v)).
% 2.81/0.95 thf(func_def_153, type, sK77: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_154, type, sK78: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_155, type, sK79: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 2.81/0.95 thf(func_def_156, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ X4 > $o) > X3))).
% 2.81/0.95 thf(func_def_157, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ X4 > $o) > X0))).
% 2.81/0.95 thf(func_def_158, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ X4 > $o) > X2))).
% 2.81/0.95 thf(func_def_159, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ X4 > $o) > X4))).
% 2.81/0.95 thf(func_def_160, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ X4 > $o) > X5))).
% 2.81/0.95 thf(func_def_161, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ X4 > $o) > X1))).
% 2.81/0.95 thf(func_def_162, type, sK86: !>[X0: $tType]:((set @ X0 > X0))).
% 2.81/0.95 thf(func_def_163, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (X2 > X2) > (X1 > X1) > X2 > option @ val @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_164, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (X2 > X2) > (X1 > X1) > expr @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_165, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (X2 > X2) > (X1 > X1) > X1))).
% 2.81/0.95 thf(func_def_166, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (X2 > X2) > (X1 > X1) > X2 > option @ val @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_167, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (X1 > X1) > X1))).
% 2.81/0.95 thf(func_def_168, type, sK92: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_169, type, sK93: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_170, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ val @ X0 @ X1 @ X2) > product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2 > X1 > option @ val @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_171, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ val @ X0 @ X1 @ X2) > product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_172, type, sK96: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ val @ X0 @ X1 @ X2) > product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2 > X1 > option @ val @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_173, type, sK97: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 2.81/0.95 thf(func_def_174, type, sK98: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 2.81/0.95 thf(func_def_175, type, sK99: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0 > X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1))).
% 2.81/0.95 thf(func_def_176, type, sK100: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > X0 > X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1))).
% 2.81/0.95 thf(func_def_177, type, sK101: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ X1) > (X0 > option @ X2) > X0 > X2))).
% 2.81/0.95 thf(func_def_178, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > expr @ X0 @ X2 @ X1))).
% 2.81/0.95 thf(func_def_179, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1))).
% 2.81/0.95 thf(func_def_180, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > X0 > (X2 > option @ X1) > (X1 > option @ X0) > X1))).
% 2.81/0.95 thf(func_def_181, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > X2 > option @ val @ X0 @ X2 @ X1))).
% 2.81/0.95 thf(func_def_182, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1))).
% 2.81/0.95 thf(func_def_183, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1 > X2 > option @ val @ X0 @ X2 @ X1))).
% 2.81/0.95 thf(func_def_184, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1))).
% 2.81/0.95 thf(func_def_185, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0 > X0 > (X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > (expr @ X0 @ X2 @ X1 > X1 > expr @ X0 @ X2 @ X1 > expr @ X0 @ X2 @ X1) > X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1))).
% 2.81/0.95 thf(func_def_186, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X1 @ X0 @ X2 > X2 > expr @ X1 @ X0 @ X2 > expr @ X1 @ X0 @ X2) > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > X1 > X1 > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2))).
% 2.81/0.95 thf(func_def_187, type, sK111: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X1 @ X0 @ X2 > X2 > expr @ X1 @ X0 @ X2 > expr @ X1 @ X0 @ X2) > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > X1 > X1 > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2))).
% 2.81/0.95 thf(func_def_188, type, sK112: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 2.81/0.95 thf(func_def_189, type, sK113: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 2.81/0.95 thf(func_def_190, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > (X1 > option @ val @ X2 @ X1 @ X0) > X1 > option @ val @ X2 @ X1 @ X0))).
% 2.81/0.95 thf(func_def_191, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > (X1 > option @ val @ X2 @ X1 @ X0) > X1 > option @ val @ X2 @ X1 @ X0))).
% 2.81/0.95 thf(func_def_192, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > (X1 > option @ val @ X2 @ X1 @ X0) > expr @ X2 @ X1 @ X0))).
% 2.81/0.95 thf(func_def_193, type, sK117: !>[X0: $tType, X1: $tType]:((option @ X0 > (option @ X0 > option @ X1 > $o) > option @ X1 > X1))).
% 2.81/0.95 thf(func_def_194, type, sK118: !>[X0: $tType, X1: $tType]:((option @ X0 > (option @ X0 > option @ X1 > $o) > option @ X1 > X0))).
% 2.81/0.95 thf(func_def_195, type, sK119: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > cntxt @ r @ l @ v > r > (l > option @ val @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v > (l > option @ val @ r @ l @ v) > r)).
% 2.81/0.95 thf(func_def_196, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > (expr @ X1 @ X0 @ X2 > X2 > expr @ X1 @ X0 @ X2 > expr @ X1 @ X0 @ X2) > X1 > X1 > X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2))).
% 2.81/0.95 thf(func_def_197, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > (expr @ X1 @ X0 @ X2 > X2 > expr @ X1 @ X0 @ X2 > expr @ X1 @ X0 @ X2) > X1 > X1 > X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2))).
% 2.81/0.95 thf(func_def_198, type, sK122: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X5 > X0))).
% 2.81/0.95 thf(func_def_199, type, sK123: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X5 > X2))).
% 2.81/0.95 thf(func_def_200, type, sK124: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X5 > X5))).
% 2.81/0.95 thf(func_def_201, type, sK125: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X5 > X1))).
% 2.81/0.95 thf(func_def_202, type, sK126: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X5 > X3))).
% 2.81/0.95 thf(func_def_203, type, sK127: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X5 > X4))).
% 2.81/0.95 thf(func_def_204, type, sK128: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_205, type, sK129: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_206, type, sK130: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_207, type, sK131: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_208, type, sK132: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r)).
% 2.81/0.95 thf(func_def_209, type, sK133: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r)).
% 2.81/0.95 thf(func_def_210, type, sK134: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_211, type, sK135: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_212, type, sK136: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0))).
% 2.81/0.95 thf(func_def_213, type, sK137: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 2.81/0.95 thf(func_def_214, type, sK138: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_215, type, sK139: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_216, type, sK140: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 2.81/0.95 thf(func_def_217, type, sK141: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 2.81/0.95 thf(func_def_218, type, sK142: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r)).
% 2.81/0.95 thf(func_def_219, type, sK143: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_220, type, sK144: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_221, type, sK145: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_222, type, sK146: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1 > $o) > X0 > option @ val @ X2 @ X0 @ X1))).
% 2.81/0.95 thf(func_def_223, type, sK147: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1 > $o) > X0 > option @ val @ X2 @ X0 @ X1))).
% 2.81/0.95 thf(func_def_224, type, sK148: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1 > $o) > expr @ X2 @ X0 @ X1))).
% 2.81/0.95 thf(func_def_225, type, sK149: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > X0))).
% 2.81/0.95 thf(func_def_226, type, sK150: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > X1 > X1 > (X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (expr @ X1 @ X2 @ X0 > X0 > expr @ X1 @ X2 @ X0 > expr @ X1 @ X2 @ X0) > X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_227, type, sK151: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > X1 > X1 > (X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (expr @ X1 @ X2 @ X0 > X0 > expr @ X1 @ X2 @ X0 > expr @ X1 @ X2 @ X0) > X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_228, type, sK152: !>[X0: $tType]:((option @ X0 > X0))).
% 2.81/0.95 thf(func_def_229, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > cntxt @ X2 @ X1 @ X0))).
% 2.81/0.95 thf(func_def_230, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X1 > option @ val @ X2 @ X1 @ X0))).
% 2.81/0.95 thf(func_def_231, type, sK155: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X1 > option @ val @ X2 @ X1 @ X0))).
% 2.81/0.95 thf(func_def_232, type, sK156: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > expr @ X2 @ X1 @ X0))).
% 2.81/0.95 thf(func_def_233, type, sK157: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_234, type, sK158: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_235, type, sK159: !>[X0: $tType]:((option @ X0 > X0))).
% 2.81/0.95 thf(func_def_236, type, sK160: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_237, type, sK161: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_238, type, sK162: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ val @ X1 @ X0 @ X2) > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > (X0 > option @ val @ X1 @ X0 @ X2) > cntxt @ X1 @ X0 @ X2 > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > X1 > expr @ X1 @ X0 @ X2 > X1))).
% 2.81/0.95 thf(func_def_239, type, sK163: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X1 @ X2 @ X0 > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > X2 > option @ val @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_240, type, sK164: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X1 @ X2 @ X0 > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > expr @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_241, type, sK165: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X1 @ X2 @ X0 > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > X2 > option @ val @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_242, type, sK166: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_243, type, sK167: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v)).
% 2.81/0.95 thf(func_def_244, type, sK168: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X4))).
% 2.81/0.95 thf(func_def_245, type, sK169: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 2.81/0.95 thf(func_def_246, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 2.81/0.95 thf(func_def_247, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 2.81/0.95 thf(func_def_248, type, sK172: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 2.81/0.95 thf(func_def_249, type, sK173: !>[X0: $tType, X1: $tType, X2: $tType]:((val @ X1 @ X0 @ X2 > (X0 > option @ val @ X1 @ X0 @ X2) > cntxt @ X1 @ X0 @ X2 > X1 > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > (X0 > option @ val @ X1 @ X0 @ X2) > X0))).
% 2.81/0.95 thf(func_def_250, type, sK174: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X0 @ X1 > X1))).
% 2.81/0.95 thf(func_def_251, type, sK175: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X0 @ X1 > X0))).
% 2.81/0.95 thf(func_def_252, type, sK176: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X0 @ X1 > X2))).
% 2.81/0.95 thf(func_def_253, type, sK177: !>[X0: $tType]:(((X0 > $o) > X0))).
% 2.81/0.95 thf(func_def_254, type, sK178: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0 > X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_255, type, sK179: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0 > X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_256, type, sK180: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > expr @ X2 @ X0 @ X1))).
% 2.81/0.95 thf(func_def_257, type, sK181: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > X2))).
% 2.81/0.95 thf(func_def_258, type, sK182: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > X0 > option @ val @ X2 @ X0 @ X1))).
% 2.81/0.95 thf(func_def_259, type, sK183: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > X0 > option @ val @ X2 @ X0 @ X1))).
% 2.81/0.95 thf(func_def_260, type, sK184: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X2))).
% 2.81/0.95 thf(func_def_261, type, sK185: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X1))).
% 2.81/0.95 thf(func_def_262, type, sK186: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X3))).
% 2.81/0.95 thf(func_def_263, type, sK187: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > $o) > X0))).
% 2.81/0.95 thf(func_def_264, type, sK188: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X4 > $o) > X0))).
% 2.81/0.95 thf(func_def_265, type, sK189: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X4 > $o) > X4))).
% 2.81/0.95 thf(func_def_266, type, sK190: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X4 > $o) > X3))).
% 2.81/0.95 thf(func_def_267, type, sK191: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X4 > $o) > X1))).
% 2.81/0.95 thf(func_def_268, type, sK192: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X4 > $o) > X2))).
% 2.81/0.95 thf(func_def_269, type, sK193: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_270, type, sK194: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_271, type, sK195: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l > option @ val @ r @ l @ v)).
% 2.81/0.95 thf(func_def_272, type, sK196: (r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > cntxt @ r @ l @ v)).
% 2.81/0.95 thf(func_def_273, type, sK197: !>[X0: $tType]:((set @ X0 > X0 > X0))).
% 2.81/0.95 thf(func_def_274, type, sK198: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > X2 > X2))).
% 2.81/0.95 thf(func_def_275, type, sK199: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > (X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > X1 > X1))).
% 2.81/0.95 thf(func_def_276, type, sK200: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > $o) > X1))).
% 2.81/0.95 thf(func_def_277, type, sK201: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0 > $o) > X1 > X0))).
% 2.81/0.95 thf(func_def_278, type, sK202: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 2.81/0.95 thf(func_def_279, type, sK203: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 2.81/0.95 thf(func_def_280, type, sK204: ((r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > l)).
% 2.81/0.95 thf(func_def_281, type, sK205: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > X1))).
% 2.81/0.95 thf(func_def_282, type, sK206: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > X1))).
% 2.81/0.95 thf(func_def_283, type, sK207: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > X2 > option @ val @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_284, type, sK208: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > X2 > option @ val @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_285, type, sK209: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > expr @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_286, type, sK210: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > expr @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_287, type, sK211: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > X2 > option @ val @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_288, type, sK212: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > option @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0) > X2 > option @ val @ X1 @ X2 @ X0))).
% 2.81/0.95 thf(func_def_289, type, sK213: !>[X0: $tType]:(((option @ X0 > $o) > X0))).
% 2.81/0.95 thf(func_def_290, type, sK214: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X1 @ X0 @ X2 > X2 > expr @ X1 @ X0 @ X2 > expr @ X1 @ X0 @ X2) > X1 > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > X1 > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2))).
% 2.81/0.95 thf(func_def_291, type, sK215: !>[X0: $tType, X1: $tType, X2: $tType]:(((expr @ X1 @ X0 @ X2 > X2 > expr @ X1 @ X0 @ X2 > expr @ X1 @ X0 @ X2) > X1 > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > X1 > (X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2) > X1 > option @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2))).
% 2.81/0.95 thf(func_def_292, type, sK216: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X2))).
% 2.81/0.95 thf(func_def_293, type, sK217: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X1))).
% 2.81/0.95 thf(func_def_294, type, sK218: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X0))).
% 2.81/0.95 thf(func_def_295, type, sK219: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > X0))).
% 2.81/0.95 thf(func_def_296, type, sK220: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > option @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1) > product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ expr @ X0 @ X2 @ X1))).
% 2.81/0.95 thf(func_def_298, type, sK222: r).
% 2.81/0.95 thf(func_def_299, type, inv_some_223: !>[X0: $tType]:((option @ X0 > X0))).
% 2.81/0.95 thf(func_def_300, type, inv_rfork_224: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_301, type, sK225: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X1 > X0 > (X0 > X1) > X1 > X0))).
% 2.81/0.95 thf(func_def_302, type, inv_plug_226: !>[X0: $tType, X1: $tType, X2: $tType]:((cntxt @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2))).
% 2.81/0.95 thf(func_def_303, type, sK227: !>[X0: $tType, X1: $tType]:(((X1 > option @ X0) > (X1 > option @ X0) > X0 > X0 > X1 > X1))).
% 2.81/0.95 thf(f1,axiom,(
% 2.81/0.95 (((s @ r2)) = ((some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2)))))))),
% 2.81/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_local_Ofork_I2_J)).
% 2.81/0.95 thf(f5,axiom,(
% 2.81/0.95 ! [X1 : $tType,X0 : $tType,X3 : X1,X2 : (X1 > X0)] : (((fun_upd @ X1 @ X0 @ X2 @ X3 @ (X2 @ X3))) = X2)),
% 2.81/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_fun__upd__triv)).
% 2.81/0.95 thf(f268,conjecture,(
% 2.81/0.95 (s = ((fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))))),
% 2.81/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.81/0.95 thf(f269,negated_conjecture,(
% 2.81/0.95 ~ (s = ((fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))))),
% 2.81/0.95 inference(negated_conjecture,[status(cth)],[f268])).
% 2.81/0.95 thf(f719,plain,(
% 2.81/0.95 (s != ((fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))))),
% 2.81/0.95 inference(flattening,[],[f269])).
% 2.81/0.95 thf(f722,plain,(
% 2.81/0.95 ! [X0 : $tType,X1 : $tType,X2 : X0,X3 : (X0 > X1)] : (((fun_upd @ X0 @ X1 @ X3 @ X2 @ (X3 @ X2))) = X3)),
% 2.81/0.95 inference(rectify,[],[f5])).
% 2.81/0.95 thf(f1546,plain,(
% 2.81/0.95 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : (X0 > X1)] : ((((fun_upd @ X0 @ X1 @ X3 @ X2 @ (X3 @ X2))) = X3)) )),
% 2.81/0.95 inference(cnf_transformation,[],[f722])).
% 2.81/0.95 thf(f1619,plain,(
% 2.81/0.95 (s != ((fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))))),
% 2.81/0.95 inference(cnf_transformation,[],[f719])).
% 2.81/0.95 thf(f1751,plain,(
% 2.81/0.95 (((s @ r2)) = ((some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2)))))))),
% 2.81/0.95 inference(cnf_transformation,[],[f1])).
% 2.81/0.95 thf(f2126,definition,(
% 2.81/0.95 spl221_33 <=> (((s @ r2)) = ((some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2)))))))),
% 2.81/0.95 introduced(definition,[new_symbols(definition,[spl221_33])],[avatar_definition])).
% 2.81/0.95 thf(f2128,plain,(
% 2.81/0.95 (((s @ r2)) = ((some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))) | ~spl221_33),
% 2.81/0.95 inference(avatar_component_clause,[],[f2126])).
% 2.81/0.95 thf(f2129,plain,(
% 2.81/0.95 spl221_33),
% 2.81/0.95 inference(avatar_split_clause,[],[f1751,f2126])).
% 2.81/0.95 thf(f2135,definition,(
% 2.81/0.95 spl221_35 <=> (s = ((fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))))),
% 2.81/0.95 introduced(definition,[new_symbols(definition,[spl221_35])],[avatar_definition])).
% 2.81/0.95 thf(f2137,plain,(
% 2.81/0.95 (s != ((fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2)))))))) | spl221_35),
% 2.81/0.95 inference(avatar_component_clause,[],[f2135])).
% 2.81/0.95 thf(f2138,plain,(
% 2.81/0.95 ~spl221_35),
% 2.81/0.95 inference(avatar_split_clause,[],[f1619,f2135])).
% 2.81/0.95 thf(f2283,plain,(
% 2.81/0.95 (s != ((fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (s @ r2)))) | (~spl221_33 | spl221_35)),
% 2.81/0.95 inference(superposition,[],[f2137,f2128])).
% 2.81/0.95 thf(f2296,plain,(
% 2.81/0.95 $false | (~spl221_33 | spl221_35)),
% 2.81/0.95 inference(forward_subsumption_resolution,[],[f2283,f1546])).
% 2.81/0.95 thf(f2297,plain,(
% 2.81/0.95 ~spl221_33 | spl221_35),
% 2.81/0.95 inference(avatar_contradiction_clause,[],[f2296])).
% 2.81/0.95 cnf(s35, plain, spl221_33, inference(sat_conversion,[],[f2129])).
% 2.81/0.95 cnf(s37, plain, ~spl221_35, inference(sat_conversion,[],[f2138])).
% 2.81/0.95 cnf(s49, plain, ~spl221_33 | spl221_35, inference(sat_conversion,[],[f2297])).
% 2.81/0.95 cnf(s52, plain, ~spl221_33, inference(rat,[],[s49,s37])).
% 2.81/0.95 cnf(s54, plain, $false, inference(rat,[],[s35,s52])).
% 2.81/0.95 thf(f2308,plain,(
% 2.81/0.95 $false),
% 2.81/0.95 inference(avatar_sat_refutation,[],[s54])).
% 2.81/0.95 % SZS output end Proof for theBenchmark
% 2.81/0.95 % (3819923)------------------------------
% 2.81/0.95 % (3819923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.95 % (3819923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.95 % (3819923)CaDiCaL version: 2.1.3
% 2.81/0.95 % (3819923)Termination reason: Refutation
% 2.81/0.95 % (3819923)Time elapsed: 0.419 s
% 2.81/0.95 % (3819923)Peak memory usage: 17 MB
% 2.81/0.95 % (3819923)Instructions burned: 606 (million)
% 2.81/0.95 % (3819899)Success in time 0.507 s
% 2.81/0.95 % Vampire exiting
%------------------------------------------------------------------------------