%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PRO024^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 08:20:30 AM UTC 2026
% Result : Theorem 2.58s 0.92s
% Output : Refutation 2.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO024^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n003.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 13:22:58 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.28 Running higher-order theorem proving
% 0.33/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.08/0.62 % (2484787)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.08/0.62 % (2484798)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.08/0.62 % (2484798)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.08/0.62 % (2484798)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=3642773884:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.08/0.62 % (2484794)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3865369536:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.08/0.62 % (2484796)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=303792755:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.08/0.62 % (2484793)lrs+10_16_si=on:nwc=1.5:random_seed=1342139340:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.08/0.62 % (2484797)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1320331175:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.08/0.62 % (2484792)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=245273550:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.08/0.62 % (2484795)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=3435832135: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)
% 1.08/0.62 % (2484794)Instruction limit reached!
% 1.08/0.62 % (2484794)------------------------------
% 1.08/0.62 % (2484794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.62 % (2484794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.62 % (2484794)CaDiCaL version: 2.1.3
% 1.08/0.62 % (2484794)Termination reason: Instruction limit
% 1.08/0.62 % (2484794)Termination phase: shuffling
% 1.08/0.62 % (2484794)Time elapsed: 0.004 s
% 1.08/0.62 % (2484794)Peak memory usage: 10 MB
% 1.08/0.62 % (2484794)Instructions burned: 4 (million)
% 1.08/0.62 % (2484793)Instruction limit reached!
% 1.08/0.62 % (2484793)------------------------------
% 1.08/0.62 % (2484793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.62 % (2484793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.62 % (2484793)CaDiCaL version: 2.1.3
% 1.08/0.62 % (2484793)Termination reason: Instruction limit
% 1.08/0.62 % (2484793)Termination phase: shuffling
% 1.08/0.62 % (2484793)Time elapsed: 0.014 s
% 1.08/0.62 % (2484793)Peak memory usage: 10 MB
% 1.08/0.62 % (2484793)Instructions burned: 18 (million)
% 1.08/0.62 % (2484796)Instruction limit reached!
% 1.08/0.62 % (2484796)------------------------------
% 1.08/0.62 % (2484796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.62 % (2484796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.62 % (2484796)CaDiCaL version: 2.1.3
% 1.08/0.62 % (2484796)Termination reason: Instruction limit
% 1.08/0.62 % (2484796)Termination phase: shuffling
% 1.08/0.62 % (2484796)Time elapsed: 0.019 s
% 1.08/0.62 % (2484796)Peak memory usage: 10 MB
% 1.08/0.62 % (2484796)Instructions burned: 24 (million)
% 1.08/0.62 % (2484806)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=391934088:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.08/0.62 % (2484806)Instruction limit reached!
% 1.08/0.62 % (2484806)------------------------------
% 1.08/0.62 % (2484806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.62 % (2484806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.62 % (2484806)CaDiCaL version: 2.1.3
% 1.08/0.62 % (2484806)Termination reason: Instruction limit
% 1.08/0.62 % (2484806)Termination phase: shuffling
% 1.08/0.62 % (2484806)Time elapsed: 0.002 s
% 1.08/0.62 % (2484806)Peak memory usage: 10 MB
% 1.08/0.62 % (2484806)Instructions burned: 4 (million)
% 1.08/0.62 % (2484808)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.47/0.68 % (2484807)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1598796732:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.47/0.68 % (2484808)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3222023404:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.47/0.68 % (2484807)Instruction limit reached!
% 1.47/0.68 % (2484807)------------------------------
% 1.47/0.68 % (2484807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (2484807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (2484807)CaDiCaL version: 2.1.3
% 1.47/0.68 % (2484807)Termination reason: Instruction limit
% 1.47/0.68 % (2484807)Termination phase: shuffling
% 1.47/0.68 % (2484807)Time elapsed: 0.005 s
% 1.47/0.68 % (2484807)Peak memory usage: 10 MB
% 1.47/0.68 % (2484807)Instructions burned: 5 (million)
% 1.47/0.68 % (2484798)Instruction limit reached!
% 1.47/0.68 % (2484798)------------------------------
% 1.47/0.68 % (2484798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (2484798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (2484798)CaDiCaL version: 2.1.3
% 1.47/0.68 % (2484798)Termination reason: Instruction limit
% 1.47/0.68 % (2484798)Termination phase: Preprocessing 3
% 1.47/0.68 % (2484798)Time elapsed: 0.067 s
% 1.47/0.68 % (2484798)Peak memory usage: 13 MB
% 1.47/0.68 % (2484798)Instructions burned: 158 (million)
% 1.47/0.68 % (2484810)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2814550656:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.47/0.68 % (2484797)Instruction limit reached!
% 1.47/0.68 % (2484797)------------------------------
% 1.47/0.68 % (2484797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (2484797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (2484797)CaDiCaL version: 2.1.3
% 1.47/0.68 % (2484797)Termination reason: Instruction limit
% 1.47/0.68 % (2484797)Termination phase: Property scanning
% 1.47/0.68 % (2484797)Time elapsed: 0.058 s
% 1.47/0.68 % (2484797)Peak memory usage: 11 MB
% 1.47/0.68 % (2484797)Instructions burned: 75 (million)
% 1.47/0.68 % (2484808)Instruction limit reached!
% 1.47/0.68 % (2484808)------------------------------
% 1.47/0.68 % (2484808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (2484808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (2484808)CaDiCaL version: 2.1.3
% 1.47/0.68 % (2484808)Termination reason: Instruction limit
% 1.47/0.68 % (2484808)Termination phase: shuffling
% 1.47/0.68 % (2484808)Time elapsed: 0.007 s
% 1.47/0.68 % (2484808)Peak memory usage: 10 MB
% 1.47/0.68 % (2484808)Instructions burned: 7 (million)
% 1.47/0.68 % (2484810)Instruction limit reached!
% 1.47/0.68 % (2484810)------------------------------
% 1.47/0.68 % (2484810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (2484810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (2484810)CaDiCaL version: 2.1.3
% 1.47/0.68 % (2484810)Termination reason: Instruction limit
% 1.47/0.68 % (2484810)Termination phase: shuffling
% 1.47/0.68 % (2484810)Time elapsed: 0.011 s
% 1.47/0.68 % (2484810)Peak memory usage: 10 MB
% 1.47/0.68 % (2484810)Instructions burned: 13 (million)
% 1.47/0.68 % (2484792)Instruction limit reached!
% 1.47/0.68 % (2484792)------------------------------
% 1.47/0.68 % (2484792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (2484792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (2484792)CaDiCaL version: 2.1.3
% 1.47/0.68 % (2484792)Termination reason: Instruction limit
% 1.47/0.68 % (2484792)Termination phase: Property scanning
% 1.47/0.68 % (2484792)Time elapsed: 0.068 s
% 1.47/0.68 % (2484792)Peak memory usage: 11 MB
% 1.47/0.68 % (2484792)Instructions burned: 87 (million)
% 1.47/0.68 % (2484814)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=3062840513:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.47/0.68 % (2484813)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
% 1.85/0.72 % (2484813)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.85/0.72 % (2484813)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1025983492:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.85/0.72 % (2484817)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.85/0.72 % (2484817)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=2483178531:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.85/0.72 % (2484816)lrs+10_1_si=on:cs=on:random_seed=714889791:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.85/0.72 % (2484817)Instruction limit reached!
% 1.85/0.72 % (2484817)------------------------------
% 1.85/0.72 % (2484817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.72 % (2484817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.72 % (2484817)CaDiCaL version: 2.1.3
% 1.85/0.72 % (2484817)Termination reason: Instruction limit
% 1.85/0.72 % (2484817)Termination phase: shuffling
% 1.85/0.72 % (2484817)Time elapsed: 0.003 s
% 1.85/0.72 % (2484817)Peak memory usage: 10 MB
% 1.85/0.72 % (2484817)Instructions burned: 2 (million)
% 1.85/0.72 % (2484818)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1795654358:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.85/0.72 % (2484819)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3223474662:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.85/0.72 % (2484816)Instruction limit reached!
% 1.85/0.72 % (2484816)------------------------------
% 1.85/0.72 % (2484816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.72 % (2484816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.72 % (2484816)CaDiCaL version: 2.1.3
% 1.85/0.72 % (2484816)Termination reason: Instruction limit
% 1.85/0.72 % (2484816)Termination phase: shuffling
% 1.85/0.72 % (2484816)Time elapsed: 0.008 s
% 1.85/0.72 % (2484816)Peak memory usage: 10 MB
% 1.85/0.72 % (2484816)Instructions burned: 8 (million)
% 1.85/0.72 % (2484814)Instruction limit reached!
% 1.85/0.72 % (2484814)------------------------------
% 1.85/0.72 % (2484814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.72 % (2484814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.72 % (2484814)CaDiCaL version: 2.1.3
% 1.85/0.72 % (2484814)Termination reason: Instruction limit
% 1.85/0.72 % (2484814)Termination phase: Property scanning
% 1.85/0.72 % (2484814)Time elapsed: 0.038 s
% 1.85/0.72 % (2484814)Peak memory usage: 11 MB
% 1.85/0.72 % (2484814)Instructions burned: 88 (million)
% 1.85/0.72 % (2484813)Instruction limit reached!
% 1.85/0.72 % (2484813)------------------------------
% 1.85/0.72 % (2484813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.72 % (2484813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.72 % (2484813)CaDiCaL version: 2.1.3
% 1.85/0.72 % (2484813)Termination reason: Instruction limit
% 1.85/0.72 % (2484813)Termination phase: shuffling
% 1.85/0.72 % (2484813)Time elapsed: 0.025 s
% 1.85/0.72 % (2484813)Peak memory usage: 11 MB
% 1.85/0.72 % (2484813)Instructions burned: 29 (million)
% 1.85/0.72 % (2484824)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2172159566:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.85/0.72 % (2484829)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1396696535:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.85/0.72 % (2484818)Instruction limit reached!
% 1.85/0.72 % (2484818)------------------------------
% 1.85/0.72 % (2484818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.72 % (2484818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.72 % (2484818)CaDiCaL version: 2.1.3
% 1.85/0.72 % (2484818)Termination reason: Instruction limit
% 1.85/0.72 % (2484818)Termination phase: shuffling
% 1.85/0.72 % (2484818)Time elapsed: 0.029 s
% 2.32/0.81 % (2484818)Peak memory usage: 10 MB
% 2.32/0.81 % (2484818)Instructions burned: 38 (million)
% 2.32/0.81 % (2484824)Instruction limit reached!
% 2.32/0.81 % (2484824)------------------------------
% 2.32/0.81 % (2484824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.81 % (2484824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.81 % (2484824)CaDiCaL version: 2.1.3
% 2.32/0.81 % (2484824)Termination reason: Instruction limit
% 2.32/0.81 % (2484824)Termination phase: shuffling
% 2.32/0.81 % (2484824)Time elapsed: 0.013 s
% 2.32/0.81 % (2484824)Peak memory usage: 11 MB
% 2.32/0.81 % (2484824)Instructions burned: 25 (million)
% 2.32/0.81 % (2484827)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2992551978:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.32/0.81 % (2484829)Instruction limit reached!
% 2.32/0.81 % (2484829)------------------------------
% 2.32/0.81 % (2484829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.81 % (2484829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.81 % (2484829)CaDiCaL version: 2.1.3
% 2.32/0.81 % (2484829)Termination reason: Instruction limit
% 2.32/0.81 % (2484829)Termination phase: shuffling
% 2.32/0.81 % (2484829)Time elapsed: 0.006 s
% 2.32/0.81 % (2484829)Peak memory usage: 10 MB
% 2.32/0.81 % (2484829)Instructions burned: 15 (million)
% 2.32/0.81 % (2484828)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1635721280:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.32/0.81 % (2484827)Instruction limit reached!
% 2.32/0.81 % (2484827)------------------------------
% 2.32/0.81 % (2484827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.81 % (2484827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.81 % (2484827)CaDiCaL version: 2.1.3
% 2.32/0.81 % (2484827)Termination reason: Instruction limit
% 2.32/0.81 % (2484827)Termination phase: shuffling
% 2.32/0.81 % (2484827)Time elapsed: 0.016 s
% 2.32/0.81 % (2484827)Peak memory usage: 10 MB
% 2.32/0.81 % (2484827)Instructions burned: 20 (million)
% 2.32/0.81 % (2484833)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=530752816:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.32/0.81 % (2484832)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2721848979: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)
% 2.32/0.81 % (2484835)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3632077140:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.32/0.81 % (2484833)Instruction limit reached!
% 2.32/0.81 % (2484833)------------------------------
% 2.32/0.81 % (2484833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.81 % (2484833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.81 % (2484833)CaDiCaL version: 2.1.3
% 2.32/0.81 % (2484833)Termination reason: Instruction limit
% 2.32/0.81 % (2484833)Termination phase: shuffling
% 2.32/0.81 % (2484833)Time elapsed: 0.013 s
% 2.32/0.81 % (2484833)Peak memory usage: 10 MB
% 2.32/0.81 % (2484833)Instructions burned: 27 (million)
% 2.32/0.81 % (2484832)Instruction limit reached!
% 2.32/0.81 % (2484832)------------------------------
% 2.32/0.81 % (2484832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.81 % (2484832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.81 % (2484832)CaDiCaL version: 2.1.3
% 2.32/0.81 % (2484832)Termination reason: Instruction limit
% 2.32/0.81 % (2484832)Termination phase: shuffling
% 2.32/0.81 % (2484832)Time elapsed: 0.003 s
% 2.32/0.81 % (2484832)Peak memory usage: 10 MB
% 2.32/0.81 % (2484832)Instructions burned: 3 (million)
% 2.32/0.81 % (2484841)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
% 2.32/0.81 % (2484841)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.32/0.81 % (2484835)Instruction limit reached!
% 2.32/0.81 % (2484835)------------------------------
% 2.32/0.81 % (2484835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.91 % (2484835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.91 % (2484835)CaDiCaL version: 2.1.3
% 2.58/0.91 % (2484835)Termination reason: Instruction limit
% 2.58/0.91 % (2484835)Termination phase: shuffling
% 2.58/0.91 % (2484835)Time elapsed: 0.019 s
% 2.58/0.91 % (2484835)Peak memory usage: 11 MB
% 2.58/0.91 % (2484835)Instructions burned: 23 (million)
% 2.58/0.91 % (2484841)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=1577325110:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.58/0.91 % (2484838)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2971724788:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.58/0.91 % (2484842)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.58/0.91 % (2484841)Instruction limit reached!
% 2.58/0.91 % (2484841)------------------------------
% 2.58/0.91 % (2484841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.91 % (2484841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.91 % (2484841)CaDiCaL version: 2.1.3
% 2.58/0.91 % (2484841)Termination reason: Instruction limit
% 2.58/0.91 % (2484841)Termination phase: shuffling
% 2.58/0.91 % (2484841)Time elapsed: 0.008 s
% 2.58/0.91 % (2484841)Peak memory usage: 10 MB
% 2.58/0.91 % (2484841)Instructions burned: 15 (million)
% 2.58/0.91 % (2484819)Refutation not found, incomplete strategy
% 2.58/0.91 % (2484819)------------------------------
% 2.58/0.91 % (2484819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.91 % (2484819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.91 % (2484819)CaDiCaL version: 2.1.3
% 2.58/0.91 % (2484819)Termination reason: Refutation not found, incomplete strategy
% 2.58/0.91 % (2484819)Time elapsed: 0.096 s
% 2.58/0.91 % (2484819)Peak memory usage: 14 MB
% 2.58/0.91 % (2484819)Instructions burned: 120 (million)
% 2.58/0.91 % (2484842)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=1008997885:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.58/0.91 % (2484819)------------------------------
% 2.58/0.91 % (2484819)------------------------------
% 2.58/0.91 % (2484843)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=3108430798:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.58/0.91 % (2484842)Instruction limit reached!
% 2.58/0.91 % (2484842)------------------------------
% 2.58/0.91 % (2484842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.91 % (2484842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.91 % (2484842)CaDiCaL version: 2.1.3
% 2.58/0.91 % (2484842)Termination reason: Instruction limit
% 2.58/0.91 % (2484842)Termination phase: shuffling
% 2.58/0.91 % (2484842)Time elapsed: 0.008 s
% 2.58/0.91 % (2484842)Peak memory usage: 10 MB
% 2.58/0.91 % (2484842)Instructions burned: 8 (million)
% 2.58/0.91 % (2484843)Instruction limit reached!
% 2.58/0.91 % (2484843)------------------------------
% 2.58/0.92 % (2484843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.92 % (2484843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.92 % (2484843)CaDiCaL version: 2.1.3
% 2.58/0.92 % (2484843)Termination reason: Instruction limit
% 2.58/0.92 % (2484843)Termination phase: shuffling
% 2.58/0.92 % (2484843)Time elapsed: 0.014 s
% 2.58/0.92 % (2484843)Peak memory usage: 11 MB
% 2.58/0.92 % (2484843)Instructions burned: 33 (million)
% 2.58/0.92 % (2484846)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=945758121:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.58/0.92 % (2484850)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=618017395:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.58/0.92 % (2484846)Instruction limit reached!
% 2.58/0.92 % (2484846)------------------------------
% 2.58/0.92 % (2484846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.92 % (2484846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.92 % (2484846)CaDiCaL version: 2.1.3
% 2.58/0.92 % (2484846)Termination reason: Instruction limit
% 2.58/0.92 % (2484846)Termination phase: shuffling
% 2.58/0.92 % (2484846)Time elapsed: 0.007 s
% 2.58/0.92 % (2484846)Peak memory usage: 10 MB
% 2.58/0.92 % (2484846)Instructions burned: 8 (million)
% 2.58/0.92 % (2484851)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2983314028:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.58/0.92 % (2484838)Instruction limit reached!
% 2.58/0.92 % (2484838)------------------------------
% 2.58/0.92 % (2484838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.92 % (2484838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.92 % (2484838)CaDiCaL version: 2.1.3
% 2.58/0.92 % (2484838)Termination reason: Instruction limit
% 2.58/0.92 % (2484838)Termination phase: shuffling
% 2.58/0.92 % (2484838)Time elapsed: 0.046 s
% 2.58/0.92 % (2484838)Peak memory usage: 11 MB
% 2.58/0.92 % (2484838)Instructions burned: 60 (million)
% 2.58/0.92 % (2484849)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2522344090:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.58/0.92 % (2484850)Instruction limit reached!
% 2.58/0.92 % (2484850)------------------------------
% 2.58/0.92 % (2484850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.92 % (2484850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.92 % (2484850)CaDiCaL version: 2.1.3
% 2.58/0.92 % (2484850)Termination reason: Instruction limit
% 2.58/0.92 % (2484850)Termination phase: shuffling
% 2.58/0.92 % (2484850)Time elapsed: 0.011 s
% 2.58/0.92 % (2484850)Peak memory usage: 11 MB
% 2.58/0.92 % (2484850)Instructions burned: 22 (million)
% 2.58/0.92 % (2484849)Instruction limit reached!
% 2.58/0.92 % (2484849)------------------------------
% 2.58/0.92 % (2484849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.92 % (2484849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.92 % (2484849)CaDiCaL version: 2.1.3
% 2.58/0.92 % (2484849)Termination reason: Instruction limit
% 2.58/0.92 % (2484849)Termination phase: shuffling
% 2.58/0.92 % (2484849)Time elapsed: 0.020 s
% 2.58/0.92 % (2484849)Peak memory usage: 10 MB
% 2.58/0.92 % (2484849)Instructions burned: 24 (million)
% 2.58/0.92 % (2484858)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2427799906:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.58/0.92 % (2484854)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1135867675:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.58/0.92 % (2484857)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3916558522:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.58/0.92 % (2484858)Instruction limit reached!
% 2.58/0.92 % (2484858)------------------------------
% 2.58/0.92 % (2484858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.92 % (2484858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.92 % (2484858)CaDiCaL version: 2.1.3
% 2.58/0.92 % (2484858)Termination reason: Instruction limit
% 2.58/0.92 % (2484858)Termination phase: shuffling
% 2.58/0.92 % (2484858)Time elapsed: 0.021 s
% 2.58/0.92 % (2484858)Peak memory usage: 11 MB
% 2.58/0.92 % (2484858)Instructions burned: 42 (million)
% 2.58/0.92 % (2484859)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.58/0.92 % (2484859)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4058512742:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.58/0.92 % (2484859)Instruction limit reached!
% 2.58/0.92 % (2484859)------------------------------
% 2.58/0.92 % (2484859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.92 % (2484859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.92 % (2484859)CaDiCaL version: 2.1.3
% 2.58/0.92 % (2484859)Termination reason: Instruction limit
% 2.58/0.92 % (2484859)Termination phase: shuffling
% 2.58/0.92 % (2484859)Time elapsed: 0.007 s
% 2.58/0.92 % (2484859)Peak memory usage: 10 MB
% 2.58/0.92 % (2484859)Instructions burned: 7 (million)
% 2.58/0.92 % (2484864)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2878526162:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.58/0.92 % (2484866)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=3694704674: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)
% 2.58/0.92 % (2484854)Instruction limit reached!
% 2.58/0.92 % (2484854)------------------------------
% 2.58/0.92 % (2484854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.92 % (2484854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.92 % (2484854)CaDiCaL version: 2.1.3
% 2.58/0.92 % (2484854)Termination reason: Instruction limit
% 2.58/0.92 % (2484854)Termination phase: Preprocessing 3
% 2.58/0.92 % (2484854)Time elapsed: 0.115 s
% 2.58/0.92 % (2484854)Peak memory usage: 13 MB
% 2.58/0.92 % (2484854)Instructions burned: 144 (million)
% 2.58/0.92 % (2484828)Instruction limit reached!
% 2.58/0.92 % (2484828)------------------------------
% 2.58/0.92 % (2484828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.92 % (2484828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.92 % (2484828)CaDiCaL version: 2.1.3
% 2.58/0.92 % (2484828)Termination reason: Instruction limit
% 2.58/0.92 % (2484828)Termination phase: Saturation
% 2.58/0.92 % (2484828)Time elapsed: 0.262 s
% 2.58/0.92 % (2484828)Peak memory usage: 15 MB
% 2.58/0.92 % (2484828)Instructions burned: 327 (million)
% 2.58/0.92 % (2484866)Instruction limit reached!
% 2.58/0.92 % (2484866)------------------------------
% 2.58/0.92 % (2484866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.92 % (2484866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.92 % (2484866)CaDiCaL version: 2.1.3
% 2.58/0.92 % (2484866)Termination reason: Instruction limit
% 2.58/0.92 % (2484866)Termination phase: Property scanning
% 2.58/0.92 % (2484866)Time elapsed: 0.085 s
% 2.58/0.92 % (2484866)Peak memory usage: 13 MB
% 2.58/0.92 % (2484866)Instructions burned: 169 (million)
% 2.58/0.92 % (2484795) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2484787-2484795"...
% 2.58/0.92 % (2484870)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.58/0.92 % (2484870)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2051189063:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 2.58/0.92 % (2484795)...printing done.
% 2.58/0.92 % (2484795)Refutation found. Thanks to Tanya!
% 2.58/0.92 % SZS status Theorem for theBenchmark
% 2.58/0.92 % SZS output start Proof for theBenchmark
% 2.58/0.92 thf(type_def_5, type, proces554692349s_term: ($tType * $tType) > $tType).
% 2.58/0.92 thf(type_def_6, type, proces634752977rocess: $tType > $tType).
% 2.58/0.92 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 2.58/0.92 thf(type_def_8, type, set: $tType > $tType).
% 2.58/0.92 thf(type_def_9, type, itself: $tType > $tType).
% 2.58/0.92 thf(type_def_10, type, b: $tType).
% 2.58/0.92 thf(type_def_11, type, a: $tType).
% 2.58/0.92 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 2.58/0.92 thf(func_def_0, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o))).
% 2.58/0.92 thf(func_def_1, type, undefined: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_2, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 2.58/0.92 thf(func_def_3, type, order_above: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 2.58/0.92 thf(func_def_4, type, order_aboveS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 2.58/0.92 thf(func_def_5, type, proces1239275103le_CH1: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_6, type, proces1869379930H1_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > $o))).
% 2.58/0.92 thf(func_def_7, type, proces1239275104le_CH2: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_8, type, proces93903513H2_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > $o))).
% 2.58/0.92 thf(func_def_9, type, proces126235999e_CONT: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_10, type, proces1004198490NT_rel: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > $o))).
% 2.58/0.92 thf(func_def_11, type, proces1708129104e_PREF: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > proces554692349s_term @ X1 @ X2) > proces554692349s_term @ X1 @ X0 > X1))).
% 2.58/0.92 thf(func_def_12, type, proces527360425EF_rel: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X1 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X1 @ X0 > $o))).
% 2.58/0.92 thf(func_def_13, type, proces1121166967uarded: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > proces554692349s_term @ X1 @ X2) > $o))).
% 2.58/0.92 thf(func_def_14, type, proces687458811_isACT: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > proces554692349s_term @ X1 @ X2) > proces554692349s_term @ X3 @ X0 > $o))).
% 2.58/0.92 thf(func_def_15, type, proces896239806CT_rel: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > $o))).
% 2.58/0.92 thf(func_def_16, type, proces1525233512Action: !>[X0: $tType]:((X0 > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_17, type, proces1915862579Choice: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_18, type, proces1406508781rocess: !>[X0: $tType, X1: $tType]:(((X0 > proces634752977rocess @ X0 > X1) > (proces634752977rocess @ X0 > proces634752977rocess @ X0 > X1) > proces634752977rocess @ X0 > X1))).
% 2.58/0.92 thf(func_def_19, type, proces979765041_ch1Of: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_20, type, proces988026546_ch2Of: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_21, type, proces1778668539contOf: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_22, type, proces894737309rocess: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > proces634752977rocess @ X1) > (X0 > X0) > (X0 > $o) > (X0 > proces634752977rocess @ X1) > (X0 > X0) > (X0 > $o) > (X0 > proces634752977rocess @ X1) > (X0 > X0) > X0 > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_23, type, proces10484146Action: !>[X0: $tType]:((proces634752977rocess @ X0 > $o))).
% 2.58/0.92 thf(func_def_24, type, proces401113213Choice: !>[X0: $tType]:((proces634752977rocess @ X0 > $o))).
% 2.58/0.92 thf(func_def_25, type, proces1205983068rocess: !>[X0: $tType]:(((X0 > $o) > proces634752977rocess @ X0 > $o))).
% 2.58/0.92 thf(func_def_26, type, proces745025900prefOf: !>[X0: $tType]:((proces634752977rocess @ X0 > X0))).
% 2.58/0.92 thf(func_def_27, type, proces749077512rocess: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X1 > $o))).
% 2.58/0.92 thf(func_def_28, type, proces1454156180ss_ACT: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_29, type, proces89589571ess_CH: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_30, type, proces1062592052s_PROC: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X0 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_31, type, proces1627516585ss_VAR: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_32, type, proces460752237s_term: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (proces634752977rocess @ X2 > X1) > (X2 > proces554692349s_term @ X2 @ X0 > X1) > (proces554692349s_term @ X2 @ X0 > proces554692349s_term @ X2 @ X0 > X1) > proces554692349s_term @ X2 @ X0 > X1))).
% 2.58/0.92 thf(func_def_33, type, proces2118920028s_term: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > proces554692349s_term @ X0 @ X1 > $o))).
% 2.58/0.92 thf(func_def_34, type, proces2117273769s_term: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (proces634752977rocess @ X2 > X1) > (X2 > proces554692349s_term @ X2 @ X0 > X1 > X1) > (proces554692349s_term @ X2 @ X0 > proces554692349s_term @ X2 @ X0 > X1 > X1 > X1) > proces554692349s_term @ X2 @ X0 > X1))).
% 2.58/0.92 thf(func_def_35, type, proces2029722208s_term: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > proces554692349s_term @ X0 @ X2 > proces554692349s_term @ X1 @ X3 > $o))).
% 2.58/0.92 thf(func_def_36, type, proces1493547885s_term: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > set @ X1))).
% 2.58/0.92 thf(func_def_37, type, proces1652378886lution: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_38, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 2.58/0.92 thf(func_def_39, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 2.58/0.92 thf(func_def_40, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.58/0.92 thf(func_def_41, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.58/0.92 thf(func_def_42, type, type: !>[X0: $tType]:(itself @ X0)).
% 2.58/0.92 thf(func_def_43, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 2.58/0.92 thf(func_def_44, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 2.58/0.92 thf(func_def_45, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.58/0.92 thf(func_def_46, type, acc: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ X0))).
% 2.58/0.92 thf(func_def_47, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 2.58/0.92 thf(func_def_48, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 2.58/0.92 thf(func_def_49, type, adm_wf: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > ((X0 > X1) > X0 > X1) > $o))).
% 2.58/0.92 thf(func_def_50, type, cut: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ product_prod @ X0 @ X0 > X0 > X0 > X1))).
% 2.58/0.92 thf(func_def_51, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 2.58/0.92 thf(func_def_52, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.58/0.92 thf(func_def_53, type, p: proces634752977rocess @ a).
% 2.58/0.92 thf(func_def_54, type, p2: proces634752977rocess @ a).
% 2.58/0.92 thf(func_def_55, type, pa: proces634752977rocess @ a).
% 2.58/0.92 thf(func_def_56, type, q: proces634752977rocess @ a).
% 2.58/0.92 thf(func_def_57, type, sys: (b > proces554692349s_term @ a @ b)).
% 2.58/0.92 thf(func_def_61, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.58/0.92 thf(func_def_62, type, db0: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_63, type, db3: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_64, type, db2: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_65, type, db1: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_66, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.58/0.92 thf(func_def_67, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.58/0.92 thf(func_def_68, type, vNOT: ($o > $o)).
% 2.58/0.92 thf(func_def_69, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.58/0.92 thf(func_def_70, type, vAND: ($o > $o > $o)).
% 2.58/0.92 thf(func_def_71, type, vIMP: ($o > $o > $o)).
% 2.58/0.92 thf(func_def_72, type, db5: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_73, type, db11: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_74, type, db10: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_75, type, db9: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_76, type, db8: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_77, type, db7: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_78, type, db6: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_79, type, db4: !>[X0: $tType]:(X0)).
% 2.58/0.92 thf(func_def_80, type, sP0: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(($o > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X3 @ X2) > $o))).
% 2.58/0.92 thf(func_def_81, type, sP1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > proces554692349s_term @ X3 @ X2) > $o > proces554692349s_term @ X1 @ X0 > $o))).
% 2.58/0.92 thf(func_def_82, type, sP2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > proces554692349s_term @ X3 @ X2) > proces554692349s_term @ X0 @ X1 > $o))).
% 2.58/0.92 thf(func_def_83, type, sP3: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X1 > $o))).
% 2.58/0.92 thf(func_def_84, type, sP4: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o))).
% 2.58/0.92 thf(func_def_85, type, sP5: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > $o))).
% 2.58/0.92 thf(func_def_86, type, sP6: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > $o))).
% 2.58/0.92 thf(func_def_87, type, sP7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > $o))).
% 2.58/0.92 thf(func_def_88, type, sP8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > $o > (X2 > proces554692349s_term @ X1 @ X0) > $o))).
% 2.58/0.92 thf(func_def_89, type, sP9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > proces554692349s_term @ X3 @ X2) > proces554692349s_term @ X1 @ X0 > $o))).
% 2.58/0.92 thf(func_def_90, type, sP10: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > $o))).
% 2.58/0.92 thf(func_def_91, type, sP11: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o))).
% 2.58/0.92 thf(func_def_92, type, sP12: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > $o))).
% 2.58/0.92 thf(func_def_93, type, sP13: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o))).
% 2.58/0.92 thf(func_def_94, type, sP14: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X2) > $o))).
% 2.58/0.92 thf(func_def_95, type, sP15: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > proces554692349s_term @ X0 @ X2) > proces554692349s_term @ X0 @ X1 > X0 > $o))).
% 2.58/0.92 thf(func_def_96, type, sP16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X3 > $o) > (X0 > X2 > $o) > proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o))).
% 2.58/0.92 thf(func_def_97, type, sP17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > $o))).
% 2.58/0.92 thf(func_def_98, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > proces554692349s_term @ X3 @ X2) > $o > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_99, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > proces554692349s_term @ X3 @ X2) > $o > proces554692349s_term @ X1 @ X0 > X1))).
% 2.58/0.92 thf(func_def_100, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(($o > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X3 @ X2) > X1))).
% 2.58/0.92 thf(func_def_101, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > $o > (X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2))).
% 2.58/0.92 thf(func_def_102, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > $o > (X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2))).
% 2.58/0.92 thf(func_def_103, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > $o > (X2 > proces554692349s_term @ X0 @ X1) > proces634752977rocess @ X3))).
% 2.58/0.92 thf(func_def_104, type, sK24: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 2.58/0.92 thf(func_def_105, type, sK25: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_106, type, sK26: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 2.58/0.92 thf(func_def_107, type, sK27: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_108, type, sK28: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_109, type, sK29: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_110, type, sK30: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_111, type, sK31: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_112, type, sK32: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_113, type, sK33: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X1 @ X0 > X1))).
% 2.58/0.92 thf(func_def_114, type, sK34: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_115, type, sK35: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_116, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X1))).
% 2.58/0.92 thf(func_def_117, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X5))).
% 2.58/0.92 thf(func_def_118, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X0))).
% 2.58/0.92 thf(func_def_119, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X4))).
% 2.58/0.92 thf(func_def_120, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X3))).
% 2.58/0.92 thf(func_def_121, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X2))).
% 2.58/0.92 thf(func_def_122, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X5 @ X0 > X6))).
% 2.58/0.92 thf(func_def_123, type, sK43: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_124, type, sK44: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_125, type, sK45: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (proces634752977rocess @ X1 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_126, type, sK46: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (proces634752977rocess @ X1 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_127, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > X2))).
% 2.58/0.92 thf(func_def_128, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > X0))).
% 2.58/0.92 thf(func_def_129, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > X4))).
% 2.58/0.92 thf(func_def_130, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > X3))).
% 2.58/0.92 thf(func_def_131, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > X1))).
% 2.58/0.92 thf(func_def_132, type, sK52: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_133, type, sK53: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_134, type, sK54: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0))).
% 2.58/0.92 thf(func_def_135, type, sK55: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_136, type, sK56: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_137, type, sK57: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_138, type, sK58: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_139, type, sK59: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_140, type, sK60: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X1))).
% 2.58/0.92 thf(func_def_141, type, sK61: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_142, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X0 @ X1 > X1))).
% 2.58/0.92 thf(func_def_143, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X0 @ X1 > X0))).
% 2.58/0.92 thf(func_def_144, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X0 @ X1 > X5))).
% 2.58/0.92 thf(func_def_145, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X0 @ X1 > X3))).
% 2.58/0.92 thf(func_def_146, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X0 @ X1 > X4))).
% 2.58/0.92 thf(func_def_147, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X0 @ X1 > X2))).
% 2.58/0.92 thf(func_def_148, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > proces554692349s_term @ X3 @ X2) > proces554692349s_term @ X0 @ X1 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_149, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > proces554692349s_term @ X3 @ X2) > proces554692349s_term @ X1 @ X0 > X0))).
% 2.58/0.92 thf(func_def_150, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > proces554692349s_term @ X3 @ X2) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_151, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > proces554692349s_term @ X3 @ X2) > proces554692349s_term @ X1 @ X0 > X1))).
% 2.58/0.92 thf(func_def_152, type, sK72: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_153, type, sK73: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > X1))).
% 2.58/0.92 thf(func_def_154, type, sK74: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X1 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_155, type, sK75: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > X0))).
% 2.58/0.92 thf(func_def_156, type, sK76: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_157, type, sK77: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_158, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > proces554692349s_term @ X2 @ X1))).
% 2.58/0.92 thf(func_def_159, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1 > proces554692349s_term @ X2 @ X0))).
% 2.58/0.92 thf(func_def_160, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > proces554692349s_term @ X2 @ X1))).
% 2.58/0.92 thf(func_def_161, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1 > proces554692349s_term @ X2 @ X0))).
% 2.58/0.92 thf(func_def_162, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1))).
% 2.58/0.92 thf(func_def_163, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > proces634752977rocess @ X2))).
% 2.58/0.92 thf(func_def_164, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1 > proces554692349s_term @ X2 @ X0))).
% 2.58/0.92 thf(func_def_165, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X2))).
% 2.58/0.92 thf(func_def_166, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > proces554692349s_term @ X2 @ X1))).
% 2.58/0.92 thf(func_def_167, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X1 > proces554692349s_term @ X2 @ X0) @ proces554692349s_term @ X2 @ X1 > X1 > proces554692349s_term @ X2 @ X0))).
% 2.58/0.92 thf(func_def_168, type, sK88: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_169, type, sK89: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_170, type, sK90: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_171, type, sK91: !>[X0: $tType]:((proces634752977rocess @ X0 > X0))).
% 2.58/0.92 thf(func_def_172, type, sK92: !>[X0: $tType]:((proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_173, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X2))).
% 2.58/0.92 thf(func_def_174, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_175, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X1))).
% 2.58/0.92 thf(func_def_176, type, sK96: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_177, type, sK97: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > X0))).
% 2.58/0.92 thf(func_def_178, type, sK98: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > proces554692349s_term @ X3 @ X0) > proces554692349s_term @ X1 @ X2 > X2))).
% 2.58/0.92 thf(func_def_179, type, sK99: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_180, type, sK100: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_181, type, sK101: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X4 > $o) > X4))).
% 2.58/0.92 thf(func_def_182, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X4 > $o) > X2))).
% 2.58/0.92 thf(func_def_183, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X4 > $o) > X1))).
% 2.58/0.92 thf(func_def_184, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X4 > $o) > X0))).
% 2.58/0.92 thf(func_def_185, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X4 > $o) > X3))).
% 2.58/0.92 thf(func_def_186, type, sK106: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0))).
% 2.58/0.92 thf(func_def_187, type, sK107: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_188, type, sK108: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > X1))).
% 2.58/0.92 thf(func_def_189, type, sK109: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_190, type, sK110: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > (X1 > proces554692349s_term @ X0 @ X1) > X1))).
% 2.58/0.92 thf(func_def_191, type, sK111: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_192, type, sK112: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_193, type, sK113: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_194, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X0 > (X0 > proces554692349s_term @ X1 @ X2) > X0))).
% 2.58/0.92 thf(func_def_195, type, sK115: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_196, type, sK116: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_197, type, sK117: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_198, type, sK118: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_199, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_200, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X3 @ X2))).
% 2.58/0.92 thf(func_def_201, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X3 @ X2))).
% 2.58/0.92 thf(func_def_202, type, sK122: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X2 > $o) > (proces554692349s_term @ X3 @ X0 > proces554692349s_term @ X2 @ X1 > $o) > X2))).
% 2.58/0.92 thf(func_def_203, type, sK123: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X2 > $o) > (proces554692349s_term @ X3 @ X0 > proces554692349s_term @ X2 @ X1 > $o) > proces554692349s_term @ X2 @ X1))).
% 2.58/0.92 thf(func_def_204, type, sK124: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X2 > $o) > (proces554692349s_term @ X3 @ X0 > proces554692349s_term @ X2 @ X1 > $o) > X3))).
% 2.58/0.92 thf(func_def_205, type, sK125: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X2 > $o) > (proces554692349s_term @ X3 @ X0 > proces554692349s_term @ X2 @ X1 > $o) > proces554692349s_term @ X3 @ X0))).
% 2.58/0.92 thf(func_def_206, type, sK126: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X0 > proces554692349s_term @ X2 @ X1 > $o) > (X0 > X1 > $o) > X0))).
% 2.58/0.92 thf(func_def_207, type, sK127: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((proces554692349s_term @ X3 @ X0 > proces554692349s_term @ X2 @ X1 > $o) > (X0 > X1 > $o) > X1))).
% 2.58/0.92 thf(func_def_208, type, sK128: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X2 > $o) > (proces554692349s_term @ X3 @ X0 > proces554692349s_term @ X2 @ X1 > $o) > proces634752977rocess @ X3))).
% 2.58/0.92 thf(func_def_209, type, sK129: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X2 > $o) > (proces554692349s_term @ X3 @ X0 > proces554692349s_term @ X2 @ X1 > $o) > proces634752977rocess @ X2))).
% 2.58/0.92 thf(func_def_210, type, sK130: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_211, type, sK131: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X1))).
% 2.58/0.92 thf(func_def_212, type, sK132: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_213, type, sK133: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_214, type, sK134: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_215, type, sK135: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_216, type, sK136: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_217, type, sK137: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_218, type, sK138: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_219, type, sK139: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_220, type, sK140: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_221, type, sK141: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_222, type, sK142: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X1))).
% 2.58/0.92 thf(func_def_223, type, sK143: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_224, type, sK144: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_225, type, sK145: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_226, type, sK146: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_227, type, sK147: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_228, type, sK148: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_229, type, sK149: !>[X0: $tType, X1: $tType]:((((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_230, type, sK150: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_231, type, sK151: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X2))).
% 2.58/0.92 thf(func_def_232, type, sK152: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X5))).
% 2.58/0.92 thf(func_def_233, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X0))).
% 2.58/0.92 thf(func_def_234, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X6))).
% 2.58/0.92 thf(func_def_235, type, sK155: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X4))).
% 2.58/0.92 thf(func_def_236, type, sK156: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X3))).
% 2.58/0.92 thf(func_def_237, type, sK157: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X4 @ X1 > $o) > X1))).
% 2.58/0.92 thf(func_def_238, type, sK158: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X0 @ X1 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_239, type, sK159: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_240, type, sK160: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_241, type, sK161: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X0 @ X1 > X0))).
% 2.58/0.92 thf(func_def_242, type, sK162: !>[X0: $tType, X1: $tType]:((X0 > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_243, type, sK163: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > (X1 > proces554692349s_term @ X0 @ X2) > proces554692349s_term @ X0 @ X1 > X1))).
% 2.58/0.92 thf(func_def_244, type, sK164: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > proces554692349s_term @ X2 @ X3) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_245, type, sK165: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > proces554692349s_term @ X2 @ X3) > proces554692349s_term @ X1 @ X0 > $o) > X1))).
% 2.58/0.92 thf(func_def_246, type, sK166: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > proces554692349s_term @ X2 @ X3) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X2 @ X3))).
% 2.58/0.92 thf(func_def_247, type, sK167: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > proces554692349s_term @ X2 @ X3) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_248, type, sK168: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > proces554692349s_term @ X2 @ X3) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X2 @ X3))).
% 2.58/0.92 thf(func_def_249, type, sK169: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > proces554692349s_term @ X2 @ X3) > proces554692349s_term @ X1 @ X0 > $o) > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_250, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > proces554692349s_term @ X2 @ X3) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X2 @ X3))).
% 2.58/0.92 thf(func_def_251, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > proces554692349s_term @ X2 @ X3) > proces554692349s_term @ X1 @ X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_252, type, sK172: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > proces554692349s_term @ X2 @ X3) > proces554692349s_term @ X1 @ X0 > $o) > X0 > proces554692349s_term @ X2 @ X3))).
% 2.58/0.92 thf(func_def_253, type, sK173: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((((X0 > proces554692349s_term @ X2 @ X3) > proces554692349s_term @ X1 @ X0 > $o) > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_254, type, sK174: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X2 > $o > (X2 > proces554692349s_term @ X1 @ X0) > X2))).
% 2.58/0.92 thf(func_def_255, type, sK175: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_256, type, sK176: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_257, type, sK177: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_258, type, sK178: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > X0))).
% 2.58/0.92 thf(func_def_259, type, sK179: !>[X0: $tType, X1: $tType]:(($o > proces554692349s_term @ X0 @ X1 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_260, type, sK180: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0))).
% 2.58/0.92 thf(func_def_261, type, sK181: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 2.58/0.92 thf(func_def_262, type, sK182: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > X0))).
% 2.58/0.92 thf(func_def_263, type, sK183: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_264, type, sK184: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_265, type, sK185: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_266, type, sK186: !>[X0: $tType, X1: $tType]:(((X1 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > X1))).
% 2.58/0.92 thf(func_def_267, type, sK187: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_268, type, sK188: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 2.58/0.92 thf(func_def_269, type, sK189: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > proces554692349s_term @ X3 @ X2) > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_270, type, sK190: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > X2))).
% 2.58/0.92 thf(func_def_271, type, sK191: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X3 @ X2))).
% 2.58/0.92 thf(func_def_272, type, sK192: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X3 @ X2))).
% 2.58/0.92 thf(func_def_273, type, sK193: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > $o) > X2 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_274, type, sK194: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_275, type, sK195: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > $o) > X2 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_276, type, sK196: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > $o) > X2))).
% 2.58/0.92 thf(func_def_277, type, sK197: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > $o) > X2 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_278, type, sK198: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > $o) > proces554692349s_term @ X0 @ X2))).
% 2.58/0.92 thf(func_def_279, type, sK199: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > $o) > proces554692349s_term @ X0 @ X2))).
% 2.58/0.92 thf(func_def_280, type, sK200: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > $o) > X2 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_281, type, sK201: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > $o) > X0))).
% 2.58/0.92 thf(func_def_282, type, sK202: !>[X0: $tType, X1: $tType, X2: $tType]:((((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > $o) > proces554692349s_term @ X0 @ X2))).
% 2.58/0.92 thf(func_def_283, type, sK203: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X0))).
% 2.58/0.92 thf(func_def_284, type, sK204: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_285, type, sK205: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_286, type, sK206: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_287, type, sK207: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_288, type, sK208: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > X1))).
% 2.58/0.92 thf(func_def_289, type, sK209: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > X1))).
% 2.58/0.92 thf(func_def_290, type, sK210: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_291, type, sK211: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_292, type, sK212: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > X0))).
% 2.58/0.92 thf(func_def_293, type, sK213: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_294, type, sK214: !>[X0: $tType, X1: $tType]:(((X0 > proces554692349s_term @ X1 @ X0) > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_295, type, sK215: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_296, type, sK216: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_297, type, sK217: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0))).
% 2.58/0.92 thf(func_def_298, type, sK218: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_299, type, sK219: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_300, type, sK220: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_301, type, sK221: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X1))).
% 2.58/0.92 thf(func_def_302, type, sK222: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_303, type, sK223: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_304, type, sK224: !>[X0: $tType, X1: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X0) @ proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_305, type, sK225: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X0 @ X1 > $o) > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_306, type, sK226: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X0 @ X1 > $o) > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_307, type, sK227: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X0 @ X1 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_308, type, sK228: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X0 @ X1 > $o) > X1))).
% 2.58/0.92 thf(func_def_309, type, sK229: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X0 @ X1 > $o) > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_310, type, sK230: !>[X0: $tType, X1: $tType]:(((proces554692349s_term @ X0 @ X1 > $o) > X0))).
% 2.58/0.92 thf(func_def_311, type, sK231: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > (X1 > X0 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_312, type, sK232: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > (X1 > X0 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_313, type, sK233: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > (X1 > X0 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_314, type, sK234: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > (X1 > X0 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_315, type, sK235: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > (X1 > X0 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_316, type, sK236: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > (X1 > X0 > $o) > proces634752977rocess @ X0 > X1))).
% 2.58/0.92 thf(func_def_317, type, sK237: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > (X1 > X0 > $o) > proces634752977rocess @ X0 > X0))).
% 2.58/0.92 thf(func_def_318, type, sK238: !>[X0: $tType, X1: $tType]:((proces634752977rocess @ X1 > (X1 > X0 > $o) > proces634752977rocess @ X0 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_319, type, sK239: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X0) > X0))).
% 2.58/0.92 thf(func_def_320, type, sK240: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_321, type, sK241: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_322, type, sK242: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_323, type, sK243: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > X1))).
% 2.58/0.92 thf(func_def_324, type, sK244: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_325, type, sK245: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_326, type, sK246: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_327, type, sK247: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_328, type, sK248: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_329, type, sK249: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_330, type, sK250: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_331, type, sK251: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_332, type, sK252: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_333, type, sK253: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_334, type, sK254: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_335, type, sK255: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 2.58/0.92 thf(func_def_336, type, sK256: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 2.58/0.92 thf(func_def_337, type, sK257: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X2))).
% 2.58/0.92 thf(func_def_338, type, sK258: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X0))).
% 2.58/0.92 thf(func_def_339, type, sK259: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X1))).
% 2.58/0.92 thf(func_def_340, type, sK260: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X3))).
% 2.58/0.92 thf(func_def_341, type, sK261: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X1))).
% 2.58/0.92 thf(func_def_342, type, sK262: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X2))).
% 2.58/0.92 thf(func_def_343, type, sK263: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X0))).
% 2.58/0.92 thf(func_def_344, type, sK264: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_345, type, sK265: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_346, type, sK266: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_347, type, sK267: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_348, type, sK268: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > X0))).
% 2.58/0.92 thf(func_def_349, type, sK269: !>[X0: $tType, X1: $tType]:(((X1 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X1 > proces554692349s_term @ X0 @ X1 > X1))).
% 2.58/0.92 thf(func_def_350, type, sK270: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 2.58/0.92 thf(func_def_351, type, sK271: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 2.58/0.92 thf(func_def_352, type, sK272: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_353, type, sK273: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_354, type, sK274: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X2))).
% 2.58/0.92 thf(func_def_355, type, sK275: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X3))).
% 2.58/0.92 thf(func_def_356, type, sK276: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X0))).
% 2.58/0.92 thf(func_def_357, type, sK277: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X1))).
% 2.58/0.92 thf(func_def_358, type, sK278: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X1 > (X1 > X0) > X1 > (X1 > X0) > X1))).
% 2.58/0.92 thf(func_def_359, type, sK279: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > proces554692349s_term @ X0 @ X2) > proces554692349s_term @ X0 @ X1 > X0 > proces554692349s_term @ X0 @ X1))).
% 2.58/0.92 thf(func_def_360, type, sK280: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > proces554692349s_term @ X0 @ X2) > proces554692349s_term @ X0 @ X1 > X0 > X0))).
% 2.58/0.92 thf(func_def_361, type, sK281: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > proces554692349s_term @ X1 @ X0 > (X0 > proces554692349s_term @ X1 @ X2) > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_362, type, sK282: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > X0 > proces554692349s_term @ X0 @ X2))).
% 2.58/0.92 thf(func_def_363, type, sK283: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > X0 > proces554692349s_term @ X0 @ X2))).
% 2.58/0.92 thf(func_def_364, type, sK284: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > proces554692349s_term @ X0 @ X1) > proces554692349s_term @ X0 @ X2 > X0 > X2))).
% 2.58/0.92 thf(func_def_365, type, sK285: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0))).
% 2.58/0.92 thf(func_def_366, type, sK286: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0))).
% 2.58/0.92 thf(func_def_367, type, sK287: !>[X0: $tType]:(((X0 > $o) > (X0 > X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_368, type, sK288: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X4 > $o) > X4))).
% 2.58/0.92 thf(func_def_369, type, sK289: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X4 > $o) > X3))).
% 2.58/0.92 thf(func_def_370, type, sK290: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X4 > $o) > X1))).
% 2.58/0.92 thf(func_def_371, type, sK291: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X4 > $o) > X0))).
% 2.58/0.92 thf(func_def_372, type, sK292: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X4 > $o) > X5))).
% 2.58/0.92 thf(func_def_373, type, sK293: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X4 > $o) > X2))).
% 2.58/0.92 thf(func_def_374, type, sK294: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 2.58/0.92 thf(func_def_375, type, sK295: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 2.58/0.92 thf(func_def_376, type, sK296: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > X0 > proces554692349s_term @ X1 @ X2))).
% 2.58/0.92 thf(func_def_377, type, sK297: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > proces554692349s_term @ X3 @ X0))).
% 2.58/0.92 thf(func_def_378, type, sK298: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > proces554692349s_term @ X3 @ X0))).
% 2.58/0.92 thf(func_def_379, type, sK299: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > proces554692349s_term @ X3 @ X0))).
% 2.58/0.92 thf(func_def_380, type, sK300: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > X0 > proces554692349s_term @ X1 @ X2))).
% 2.58/0.92 thf(func_def_381, type, sK301: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > X3))).
% 2.58/0.92 thf(func_def_382, type, sK302: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > X0))).
% 2.58/0.92 thf(func_def_383, type, sK303: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > X0 > proces554692349s_term @ X1 @ X2))).
% 2.58/0.92 thf(func_def_384, type, sK304: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > X0 > proces554692349s_term @ X1 @ X2))).
% 2.58/0.92 thf(func_def_385, type, sK305: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ (X0 > proces554692349s_term @ X1 @ X2) @ proces554692349s_term @ X3 @ X0 > proces634752977rocess @ X3))).
% 2.58/0.92 thf(func_def_386, type, sK306: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_387, type, sK307: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_388, type, sK308: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_389, type, sK309: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_390, type, sK310: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_391, type, sK311: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_392, type, sK312: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_393, type, sK313: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_394, type, sK314: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_395, type, sK315: !>[X0: $tType]:(((proces634752977rocess @ X0 > proces634752977rocess @ X0 > $o) > proces634752977rocess @ X0))).
% 2.58/0.92 thf(func_def_396, type, sK316: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.58/0.92 thf(func_def_397, type, sK317: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 2.58/0.92 thf(func_def_398, type, sK318: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > X3))).
% 2.58/0.92 thf(func_def_399, type, sK319: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X3 @ X1))).
% 2.58/0.92 thf(func_def_400, type, sK320: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > proces554692349s_term @ X2 @ X0))).
% 2.58/0.92 thf(func_def_401, type, sK321: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X3 @ X1 > proces554692349s_term @ X2 @ X0 > (X3 > X2 > $o) > (X1 > X0 > $o) > X2))).
% 2.58/0.92 thf(func_def_402, type, sK322: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X3 > $o) > (X0 > X2 > $o) > proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_403, type, sK323: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X3 > $o) > (X0 > X2 > $o) > proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X1 @ X0))).
% 2.58/0.92 thf(func_def_404, type, sK324: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X3 > $o) > (X0 > X2 > $o) > proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X3 @ X2))).
% 2.58/0.92 thf(func_def_405, type, sK325: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X3 > $o) > (X0 > X2 > $o) > proces554692349s_term @ X3 @ X2 > proces554692349s_term @ X1 @ X0 > proces554692349s_term @ X3 @ X2))).
% 2.58/0.92 thf(func_def_406, type, sK326: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X2 @ X3 > proces554692349s_term @ X1 @ X0 > (X2 > X1 > $o) > proces634752977rocess @ X2))).
% 2.58/0.92 thf(func_def_407, type, sK327: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((proces554692349s_term @ X2 @ X3 > proces554692349s_term @ X1 @ X0 > (X2 > X1 > $o) > proces634752977rocess @ X1))).
% 2.58/0.92 thf(func_def_408, type, sK328: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X0 > $o) > proces554692349s_term @ X2 @ X3 > proces554692349s_term @ X1 @ X0 > X3))).
% 2.58/0.92 thf(func_def_409, type, sK329: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X0 > $o) > proces554692349s_term @ X2 @ X3 > proces554692349s_term @ X1 @ X0 > X0))).
% 2.58/0.92 thf(func_def_411, type, inv_proces1062592052s_PROC_331: !>[X0: $tType, X1: $tType]:((proces554692349s_term @ X0 @ X1 > proces634752977rocess @ X0))).
% 2.58/0.92 thf(f1,axiom,(
% 2.58/0.92 (proces401113213Choice @ a @ pa)),
% 2.58/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062isChoice_Ap_092_060close_062)).
% 2.58/0.92 thf(f4,axiom,(
% 2.58/0.92 ! [X2 : $tType,X0 : $tType,X3 : $tType,X1 : $tType,X5 : proces634752977rocess @ X3,X4 : (X0 > proces554692349s_term @ X2 @ X1)] : (((proces687458811_isACT @ X0 @ X2 @ X1 @ X3 @ X4 @ (proces1062592052s_PROC @ X3 @ X0 @ X5))) = ((proces10484146Action @ X3 @ X5)))),
% 2.58/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_isACT_Osimps_I2_J)).
% 2.58/0.92 thf(f27,axiom,(
% 2.58/0.92 ! [X0 : $tType,X1 : proces634752977rocess @ X0] : ((proces401113213Choice @ X0 @ X1) => ~(proces10484146Action @ X0 @ X1))),
% 2.58/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_process_Odistinct__disc_I2_J)).
% 2.58/0.92 thf(f259,conjecture,(
% 2.58/0.92 ~(proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))),
% 2.58/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 2.58/0.92 thf(f260,negated_conjecture,(
% 2.58/0.92 ~ ~(proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))),
% 2.58/0.92 inference(negated_conjecture,[status(cth)],[f259])).
% 2.58/0.92 thf(f290,plain,(
% 2.58/0.92 ! [X0 : $tType,X1 : proces634752977rocess @ X0] : ((proces401113213Choice @ X0 @ X1) => ~(proces10484146Action @ X0 @ X1))),
% 2.58/0.92 inference(rectify,[],[f27])).
% 2.58/0.92 thf(f291,plain,(
% 2.58/0.92 ! [X0 : $tType,X1 : proces634752977rocess @ X0] : ((((proces401113213Choice @ X0 @ X1)) = $true) => ~ (((proces10484146Action @ X0 @ X1)) = $true))),
% 2.58/0.92 inference(fool_elimination,[],[f290])).
% 2.58/0.92 thf(f415,plain,(
% 2.58/0.92 ~ ~(proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))),
% 2.58/0.92 inference(rectify,[],[f260])).
% 2.58/0.92 thf(f416,plain,(
% 2.58/0.92 ~ ~ (((proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))) = $true)),
% 2.58/0.92 inference(fool_elimination,[],[f415])).
% 2.58/0.92 thf(f459,plain,(
% 2.58/0.92 (proces401113213Choice @ a @ pa)),
% 2.58/0.92 inference(rectify,[],[f1])).
% 2.58/0.92 thf(f460,plain,(
% 2.58/0.92 (((proces401113213Choice @ a @ pa)) = $true)),
% 2.58/0.92 inference(fool_elimination,[],[f459])).
% 2.58/0.92 thf(f663,plain,(
% 2.58/0.92 ! [X0 : $tType,X1 : proces634752977rocess @ X0] : ((((proces401113213Choice @ X0 @ X1)) = $true) => (((proces10484146Action @ X0 @ X1)) != $true))),
% 2.58/0.92 inference(flattening,[],[f291])).
% 2.58/0.92 thf(f700,plain,(
% 2.58/0.92 (((proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))) = $true)),
% 2.58/0.92 inference(flattening,[],[f416])).
% 2.58/0.92 thf(f703,plain,(
% 2.58/0.92 ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : $tType,X5 : (X1 > proces554692349s_term @ X0 @ X3),X4 : proces634752977rocess @ X2] : (((proces10484146Action @ X2 @ X4)) = ((proces687458811_isACT @ X1 @ X0 @ X3 @ X2 @ X5 @ (proces1062592052s_PROC @ X2 @ X1 @ X4))))),
% 2.58/0.92 inference(rectify,[],[f4])).
% 2.58/0.92 thf(f803,plain,(
% 2.58/0.92 ! [X0 : $tType,X1 : proces634752977rocess @ X0] : ((((proces401113213Choice @ X0 @ X1)) != $true) | (((proces10484146Action @ X0 @ X1)) != $true))),
% 2.58/0.92 inference(ennf_transformation,[],[f663])).
% 2.58/0.92 thf(f1302,plain,(
% 2.58/0.92 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : (X0 > proces554692349s_term @ X1 @ X3),X5 : proces634752977rocess @ X2] : (((proces687458811_isACT @ X0 @ X1 @ X3 @ X2 @ X4 @ (proces1062592052s_PROC @ X2 @ X0 @ X5))) = ((proces10484146Action @ X2 @ X5)))),
% 2.58/0.92 inference(rectify,[],[f703])).
% 2.58/0.92 thf(f1421,plain,(
% 2.58/0.92 ( ! [X0 : $tType,X1 : proces634752977rocess @ X0] : ((((proces401113213Choice @ X0 @ X1)) != $true) | (((proces10484146Action @ X0 @ X1)) != $true)) )),
% 2.58/0.92 inference(cnf_transformation,[],[f803])).
% 2.58/0.92 thf(f1647,plain,(
% 2.58/0.92 (((proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))) = $true)),
% 2.58/0.92 inference(cnf_transformation,[],[f700])).
% 2.58/0.92 thf(f1862,plain,(
% 2.58/0.92 (((proces401113213Choice @ a @ pa)) = $true)),
% 2.58/0.92 inference(cnf_transformation,[],[f460])).
% 2.58/0.92 thf(f1906,plain,(
% 2.58/0.92 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X4 : (X0 > proces554692349s_term @ X1 @ X3),X5 : proces634752977rocess @ X2] : ((((proces687458811_isACT @ X0 @ X1 @ X3 @ X2 @ X4 @ (proces1062592052s_PROC @ X2 @ X0 @ X5))) = ((proces10484146Action @ X2 @ X5)))) )),
% 2.58/0.92 inference(cnf_transformation,[],[f1302])).
% 2.58/0.92 thf(f2080,plain,(
% 2.58/0.92 ( ! [X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X4 : (X0 > proces554692349s_term @ X1 @ X3),X5 : proces634752977rocess @ X2] : ((((proces687458811_isACT @ X0 @ X1 @ X3 @ X2 @ X4 @ (proces1062592052s_PROC @ X2 @ X0 @ X5))) = $false) | ($true = ((proces10484146Action @ X2 @ X5)))) )),
% 2.58/0.92 inference(iff_proxy_clausification,[],[f1906])).
% 2.58/0.92 thf(f2234,definition,(
% 2.58/0.92 spl330_1 <=> (((proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))) = $true)),
% 2.58/0.92 introduced(definition,[new_symbols(definition,[spl330_1])],[avatar_definition])).
% 2.58/0.92 thf(f2236,plain,(
% 2.58/0.92 (((proces687458811_isACT @ b @ a @ b @ a @ sys @ (proces1062592052s_PROC @ a @ b @ pa))) = $true) | ~spl330_1),
% 2.58/0.92 inference(avatar_component_clause,[],[f2234])).
% 2.58/0.92 thf(f2237,plain,(
% 2.58/0.92 spl330_1),
% 2.58/0.92 inference(avatar_split_clause,[],[f1647,f2234])).
% 2.58/0.92 thf(f2239,definition,(
% 2.58/0.92 spl330_2 <=> (((proces401113213Choice @ a @ pa)) = $true)),
% 2.58/0.92 introduced(definition,[new_symbols(definition,[spl330_2])],[avatar_definition])).
% 2.58/0.92 thf(f2241,plain,(
% 2.58/0.92 (((proces401113213Choice @ a @ pa)) = $true) | ~spl330_2),
% 2.58/0.92 inference(avatar_component_clause,[],[f2239])).
% 2.58/0.92 thf(f2242,plain,(
% 2.58/0.92 spl330_2),
% 2.58/0.92 inference(avatar_split_clause,[],[f1862,f2239])).
% 2.58/0.92 thf(f2244,definition,(
% 2.58/0.92 spl330_3 <=> (((proces10484146Action @ a @ pa)) = $true)),
% 2.58/0.92 introduced(definition,[new_symbols(definition,[spl330_3])],[avatar_definition])).
% 2.58/0.92 thf(f2245,plain,(
% 2.58/0.92 (((proces10484146Action @ a @ pa)) != $true) | spl330_3),
% 2.58/0.92 inference(avatar_component_clause,[],[f2244])).
% 2.58/0.92 thf(f2284,plain,(
% 2.58/0.92 ($true != $true) | (((proces10484146Action @ a @ pa)) != $true) | ~spl330_2),
% 2.58/0.92 inference(superposition,[],[f1421,f2241])).
% 2.58/0.92 thf(f2287,plain,(
% 2.58/0.92 (((proces10484146Action @ a @ pa)) != $true) | ~spl330_2),
% 2.58/0.92 inference(trivial_inequality_removal,[],[f2284])).
% 2.58/0.92 thf(f2289,plain,(
% 2.58/0.92 ~spl330_3 | ~spl330_2),
% 2.58/0.92 inference(avatar_split_clause,[],[f2287,f2239,f2244])).
% 2.58/0.92 thf(f2526,plain,(
% 2.58/0.92 ($false = $true) | (((proces10484146Action @ a @ pa)) = $true) | ~spl330_1),
% 2.58/0.92 inference(superposition,[],[f2080,f2236])).
% 2.58/0.92 thf(f2541,plain,(
% 2.58/0.92 (((proces10484146Action @ a @ pa)) = $true) | ~spl330_1),
% 2.58/0.92 inference(trivial_inequality_removal,[],[f2526])).
% 2.58/0.92 thf(f2545,plain,(
% 2.58/0.92 $false | (~spl330_1 | spl330_3)),
% 2.58/0.92 inference(forward_subsumption_resolution,[],[f2541,f2245])).
% 2.58/0.92 thf(f2546,plain,(
% 2.58/0.92 ~spl330_1 | spl330_3),
% 2.58/0.92 inference(avatar_contradiction_clause,[],[f2545])).
% 2.58/0.92 cnf(s1, plain, spl330_1, inference(sat_conversion,[],[f2237])).
% 2.58/0.92 cnf(s2, plain, spl330_2, inference(sat_conversion,[],[f2242])).
% 2.58/0.92 cnf(s10, plain, ~spl330_2 | ~spl330_3, inference(sat_conversion,[],[f2289])).
% 2.58/0.92 cnf(s18, plain, ~spl330_1 | spl330_3, inference(sat_conversion,[],[f2546])).
% 2.58/0.92 cnf(s20, plain, ~spl330_3, inference(rat,[],[s10,s2])).
% 2.58/0.92 cnf(s21, plain, ~spl330_1, inference(rat,[],[s18,s20])).
% 2.58/0.92 cnf(s22, plain, $false, inference(rat,[],[s1,s21])).
% 2.58/0.92 thf(f2547,plain,(
% 2.58/0.92 $false),
% 2.58/0.92 inference(avatar_sat_refutation,[],[s22])).
% 2.58/0.92 % SZS output end Proof for theBenchmark
% 2.58/0.92 % (2484795)------------------------------
% 2.58/0.92 % (2484795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/0.92 % (2484795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/0.92 % (2484795)CaDiCaL version: 2.1.3
% 2.58/0.92 % (2484795)Termination reason: Refutation
% 2.58/0.92 % (2484795)Time elapsed: 0.412 s
% 2.58/0.92 % (2484795)Peak memory usage: 17 MB
% 2.58/0.92 % (2484795)Instructions burned: 496 (million)
% 2.58/0.92 % (2484787)Success in time 0.484 s
% 2.58/0.92 % Vampire exiting
%------------------------------------------------------------------------------