%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP184^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:43 AM UTC 2026
% Result : Theorem 0.52s 0.44s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP184^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n026.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 20:10:57 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.20/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.52/0.43 % (1113784)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.52/0.43 % (1113795)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.52/0.43 % (1113795)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.52/0.43 % (1113795)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=3941932750:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.52/0.43 % (1113790)lrs+10_16_si=on:nwc=1.5:random_seed=185161441:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.52/0.43 % (1113791)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3313726080:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.52/0.43 % (1113793)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2341733286:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.52/0.43 % (1113792)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=840462546:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.52/0.43 % (1113794)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1005183873:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.52/0.43 % (1113791)Instruction limit reached!
% 0.52/0.43 % (1113791)------------------------------
% 0.52/0.43 % (1113791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (1113791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (1113791)CaDiCaL version: 2.1.3
% 0.52/0.43 % (1113791)Termination reason: Instruction limit
% 0.52/0.43 % (1113791)Termination phase: shuffling
% 0.52/0.43 % (1113791)Time elapsed: 0.003 s
% 0.52/0.43 % (1113791)Peak memory usage: 10 MB
% 0.52/0.43 % (1113791)Instructions burned: 5 (million)
% 0.52/0.43 % (1113789)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1613618564:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.52/0.43 % (1113790)Instruction limit reached!
% 0.52/0.43 % (1113790)------------------------------
% 0.52/0.43 % (1113790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (1113790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (1113790)CaDiCaL version: 2.1.3
% 0.52/0.43 % (1113790)Termination reason: Instruction limit
% 0.52/0.43 % (1113790)Termination phase: shuffling
% 0.52/0.43 % (1113790)Time elapsed: 0.009 s
% 0.52/0.43 % (1113790)Peak memory usage: 10 MB
% 0.52/0.43 % (1113790)Instructions burned: 20 (million)
% 0.52/0.43 % (1113793)Instruction limit reached!
% 0.52/0.43 % (1113793)------------------------------
% 0.52/0.43 % (1113793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (1113793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (1113793)CaDiCaL version: 2.1.3
% 0.52/0.43 % (1113793)Termination reason: Instruction limit
% 0.52/0.43 % (1113793)Termination phase: shuffling
% 0.52/0.43 % (1113793)Time elapsed: 0.011 s
% 0.52/0.43 % (1113793)Peak memory usage: 10 MB
% 0.52/0.43 % (1113793)Instructions burned: 24 (million)
% 0.52/0.43 % (1113805)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.43 % (1113804)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1213449389:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.52/0.43 % (1113795)Instruction limit reached!
% 0.52/0.43 % (1113795)------------------------------
% 0.52/0.43 % (1113795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.43 % (1113795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.43 % (1113795)CaDiCaL version: 2.1.3
% 0.52/0.43 % (1113795)Termination reason: Instruction limit
% 0.52/0.43 % (1113795)Termination phase: Saturation
% 0.52/0.43 % (1113795)Time elapsed: 0.038 s
% 0.52/0.43 % (1113795)Peak memory usage: 14 MB
% 0.52/0.43 % (1113795)Instructions burned: 157 (million)
% 0.52/0.44 % (1113805)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1018415175:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.52/0.44 % (1113804)Instruction limit reached!
% 0.52/0.44 % (1113804)------------------------------
% 0.52/0.44 % (1113804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113804)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113804)Termination reason: Instruction limit
% 0.52/0.44 % (1113804)Termination phase: shuffling
% 0.52/0.44 % (1113804)Time elapsed: 0.003 s
% 0.52/0.44 % (1113804)Peak memory usage: 10 MB
% 0.52/0.44 % (1113804)Instructions burned: 6 (million)
% 0.52/0.44 % (1113803)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2285731704:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.44 % (1113805)Instruction limit reached!
% 0.52/0.44 % (1113805)------------------------------
% 0.52/0.44 % (1113805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113805)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113805)Termination reason: Instruction limit
% 0.52/0.44 % (1113805)Termination phase: shuffling
% 0.52/0.44 % (1113805)Time elapsed: 0.004 s
% 0.52/0.44 % (1113805)Peak memory usage: 10 MB
% 0.52/0.44 % (1113805)Instructions burned: 8 (million)
% 0.52/0.44 % (1113803)Instruction limit reached!
% 0.52/0.44 % (1113803)------------------------------
% 0.52/0.44 % (1113803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113803)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113803)Termination reason: Instruction limit
% 0.52/0.44 % (1113803)Termination phase: shuffling
% 0.52/0.44 % (1113803)Time elapsed: 0.002 s
% 0.52/0.44 % (1113803)Peak memory usage: 10 MB
% 0.52/0.44 % (1113803)Instructions burned: 3 (million)
% 0.52/0.44 % (1113794)Instruction limit reached!
% 0.52/0.44 % (1113794)------------------------------
% 0.52/0.44 % (1113794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113794)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113794)Termination reason: Instruction limit
% 0.52/0.44 % (1113794)Termination phase: Preprocessing 3
% 0.52/0.44 % (1113794)Time elapsed: 0.036 s
% 0.52/0.44 % (1113794)Peak memory usage: 12 MB
% 0.52/0.44 % (1113794)Instructions burned: 75 (million)
% 0.52/0.44 % (1113808)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3744464016:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.52/0.44 % (1113808)Instruction limit reached!
% 0.52/0.44 % (1113808)------------------------------
% 0.52/0.44 % (1113808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113808)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113808)Termination reason: Instruction limit
% 0.52/0.44 % (1113808)Termination phase: shuffling
% 0.52/0.44 % (1113808)Time elapsed: 0.003 s
% 0.52/0.44 % (1113808)Peak memory usage: 10 MB
% 0.52/0.44 % (1113808)Instructions burned: 13 (million)
% 0.52/0.44 % (1113810)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.52/0.44 % (1113810)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.44 % (1113810)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4091918599:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.52/0.44 % (1113811)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=2526297279:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.52/0.44 % (1113813)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.52/0.44 % (1113815)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3449471175:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.52/0.44 % (1113812)lrs+10_1_si=on:cs=on:random_seed=1280330346:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.52/0.44 % (1113813)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=1294712064:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.44 % (1113813)Instruction limit reached!
% 0.52/0.44 % (1113813)------------------------------
% 0.52/0.44 % (1113813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113813)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113813)Termination reason: Instruction limit
% 0.52/0.44 % (1113813)Termination phase: shuffling
% 0.52/0.44 % (1113813)Time elapsed: 0.003 s
% 0.52/0.44 % (1113813)Peak memory usage: 10 MB
% 0.52/0.44 % (1113813)Instructions burned: 4 (million)
% 0.52/0.44 % (1113812)Instruction limit reached!
% 0.52/0.44 % (1113812)------------------------------
% 0.52/0.44 % (1113812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113812)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113812)Termination reason: Instruction limit
% 0.52/0.44 % (1113812)Termination phase: shuffling
% 0.52/0.44 % (1113812)Time elapsed: 0.004 s
% 0.52/0.44 % (1113812)Peak memory usage: 10 MB
% 0.52/0.44 % (1113812)Instructions burned: 9 (million)
% 0.52/0.44 % (1113815)Instruction limit reached!
% 0.52/0.44 % (1113815)------------------------------
% 0.52/0.44 % (1113815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113815)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113815)Termination reason: Instruction limit
% 0.52/0.44 % (1113815)Termination phase: SInE selection
% 0.52/0.44 % (1113815)Time elapsed: 0.009 s
% 0.52/0.44 % (1113815)Peak memory usage: 11 MB
% 0.52/0.44 % (1113815)Instructions burned: 41 (million)
% 0.52/0.44 % (1113810)Instruction limit reached!
% 0.52/0.44 % (1113810)------------------------------
% 0.52/0.44 % (1113810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113810)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113810)Termination reason: Instruction limit
% 0.52/0.44 % (1113810)Termination phase: shuffling
% 0.52/0.44 % (1113810)Time elapsed: 0.013 s
% 0.52/0.44 % (1113810)Peak memory usage: 10 MB
% 0.52/0.44 % (1113810)Instructions burned: 28 (million)
% 0.52/0.44 % (1113789)Instruction limit reached!
% 0.52/0.44 % (1113789)------------------------------
% 0.52/0.44 % (1113789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113789)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113789)Termination reason: Instruction limit
% 0.52/0.44 % (1113789)Termination phase: Property scanning
% 0.52/0.44 % (1113789)Time elapsed: 0.074 s
% 0.52/0.44 % (1113789)Peak memory usage: 12 MB
% 0.52/0.44 % (1113789)Instructions burned: 88 (million)
% 0.52/0.44 % (1113823)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3580285583:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.52/0.44 % (1113824)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1126994184:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.52/0.44 % (1113821)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=145425302:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.52/0.44 % (1113822)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=827760740:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.52/0.44 % (1113823)Instruction limit reached!
% 0.52/0.44 % (1113823)------------------------------
% 0.52/0.44 % (1113823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113823)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113823)Termination reason: Instruction limit
% 0.52/0.44 % (1113823)Termination phase: shuffling
% 0.52/0.44 % (1113823)Time elapsed: 0.007 s
% 0.52/0.44 % (1113823)Peak memory usage: 10 MB
% 0.52/0.44 % (1113823)Instructions burned: 15 (million)
% 0.52/0.44 % (1113811)Instruction limit reached!
% 0.52/0.44 % (1113811)------------------------------
% 0.52/0.44 % (1113811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113811)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113811)Termination reason: Instruction limit
% 0.52/0.44 % (1113811)Termination phase: Preprocessing 1
% 0.52/0.44 % (1113811)Time elapsed: 0.038 s
% 0.52/0.44 % (1113811)Peak memory usage: 11 MB
% 0.52/0.44 % (1113811)Instructions burned: 88 (million)
% 0.52/0.44 % (1113825)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2238345056:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.52/0.44 % (1113792) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1113784-1113792"...
% 0.52/0.44 % (1113822)Instruction limit reached!
% 0.52/0.44 % (1113822)------------------------------
% 0.52/0.44 % (1113822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113822)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113822)Termination reason: Instruction limit
% 0.52/0.44 % (1113822)Termination phase: Property scanning
% 0.52/0.44 % (1113822)Time elapsed: 0.012 s
% 0.52/0.44 % (1113822)Peak memory usage: 10 MB
% 0.52/0.44 % (1113822)Instructions burned: 27 (million)
% 0.52/0.44 % (1113792)...printing done.
% 0.52/0.44 % (1113792)Refutation found. Thanks to Tanya!
% 0.52/0.44 % SZS status Theorem for theBenchmark
% 0.52/0.44 % SZS output start Proof for theBenchmark
% 0.52/0.44 thf(type_def_5, type, late_residual: $tType).
% 0.52/0.44 thf(type_def_6, type, late_subject: $tType).
% 0.52/0.44 thf(type_def_7, type, late_freeRes: $tType).
% 0.52/0.44 thf(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 0.52/0.44 thf(type_def_9, type, noption: $tType > $tType).
% 0.52/0.44 thf(type_def_10, type, name: $tType).
% 0.52/0.44 thf(type_def_11, type, pi: $tType).
% 0.52/0.44 thf(type_def_12, type, set: $tType > $tType).
% 0.52/0.44 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 0.52/0.44 thf(func_def_0, type, fs_name: !>[X0: $tType]:($o)).
% 0.52/0.44 thf(func_def_1, type, bang: (pi > pi)).
% 0.52/0.44 thf(func_def_2, type, input: (name > name > pi > pi)).
% 0.52/0.44 thf(func_def_3, type, match: (name > name > pi > pi)).
% 0.52/0.44 thf(func_def_4, type, mismatch: (name > name > pi > pi)).
% 0.52/0.44 thf(func_def_5, type, output: (name > name > pi > pi)).
% 0.52/0.44 thf(func_def_6, type, par: (pi > pi > pi)).
% 0.52/0.44 thf(func_def_7, type, piNil: pi).
% 0.52/0.44 thf(func_def_8, type, res: (name > pi > pi)).
% 0.52/0.44 thf(func_def_9, type, sum: (pi > pi > pi)).
% 0.52/0.44 thf(func_def_10, type, tau: (pi > pi)).
% 0.52/0.44 thf(func_def_11, type, subs: (pi > name > name > pi)).
% 0.52/0.44 thf(func_def_12, type, subst_name: (name > name > name > name)).
% 0.52/0.44 thf(func_def_13, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.52/0.44 thf(func_def_14, type, late_case_freeRes: !>[X0: $tType]:(((name > name > X0) > X0 > late_freeRes > X0))).
% 0.52/0.44 thf(func_def_15, type, late_OutputR: (name > name > late_freeRes)).
% 0.52/0.44 thf(func_def_16, type, late_TauR: late_freeRes).
% 0.52/0.44 thf(func_def_17, type, late_freeRes_rec: !>[X0: $tType]:(((name > name > X0) > X0 > late_freeRes > X0))).
% 0.52/0.44 thf(func_def_18, type, late_BoundR: (late_subject > name > pi > late_residual)).
% 0.52/0.44 thf(func_def_19, type, late_FreeR: (late_freeRes > pi > late_residual)).
% 0.52/0.44 thf(func_def_20, type, late_BoundOutputS: (name > late_subject)).
% 0.52/0.44 thf(func_def_21, type, late_InputS: (name > late_subject)).
% 0.52/0.44 thf(func_def_22, type, late_subject_rec: !>[X0: $tType]:(((name > X0) > (name > X0) > late_subject > X0))).
% 0.52/0.44 thf(func_def_23, type, late_transitions: (pi > late_residual > $o)).
% 0.52/0.44 thf(func_def_24, type, abs_fun: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > noption @ X1))).
% 0.52/0.44 thf(func_def_25, type, fresh: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 0.52/0.44 thf(func_def_26, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.52/0.44 thf(func_def_27, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.52/0.44 thf(func_def_28, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.52/0.44 thf(func_def_29, type, eqvt: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 0.52/0.44 thf(func_def_30, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.52/0.44 thf(func_def_31, type, strong2129052853vative: (pi > pi > late_subject > name > set @ product_prod @ pi @ pi > $o)).
% 0.52/0.44 thf(func_def_32, type, strong743114133lation: (pi > set @ product_prod @ pi @ pi > pi > $o)).
% 0.52/0.44 thf(func_def_33, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.52/0.44 thf(func_def_34, type, p: pi).
% 0.52/0.44 thf(func_def_35, type, pqr: pi).
% 0.52/0.44 thf(func_def_36, type, q: pi).
% 0.52/0.44 thf(func_def_37, type, qr: pi).
% 0.52/0.44 thf(func_def_38, type, q2: pi).
% 0.52/0.44 thf(func_def_39, type, r: pi).
% 0.52/0.44 thf(func_def_40, type, rel: set @ product_prod @ pi @ pi).
% 0.52/0.44 thf(func_def_41, type, a: late_subject).
% 0.52/0.44 thf(func_def_42, type, x: name).
% 0.52/0.44 thf(func_def_46, type, vAND: ($o > $o > $o)).
% 0.52/0.44 thf(func_def_47, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.52/0.44 thf(func_def_48, type, vIMP: ($o > $o > $o)).
% 0.52/0.44 thf(func_def_49, type, db2: !>[X0: $tType]:(X0)).
% 0.52/0.44 thf(func_def_50, type, db5: !>[X0: $tType]:(X0)).
% 0.52/0.44 thf(func_def_51, type, db3: !>[X0: $tType]:(X0)).
% 0.52/0.44 thf(func_def_52, type, db1: !>[X0: $tType]:(X0)).
% 0.52/0.44 thf(func_def_53, type, db0: !>[X0: $tType]:(X0)).
% 0.52/0.44 thf(func_def_54, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.52/0.44 thf(func_def_55, type, db6: !>[X0: $tType]:(X0)).
% 0.52/0.44 thf(func_def_56, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.52/0.44 thf(func_def_57, type, db4: !>[X0: $tType]:(X0)).
% 0.52/0.44 thf(func_def_58, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.52/0.44 thf(func_def_59, type, vNOT: ($o > $o)).
% 0.52/0.44 thf(func_def_60, type, sP0: (name > pi > late_residual > $o)).
% 0.52/0.44 thf(func_def_61, type, sP1: (late_subject > name > pi > pi > pi > $o)).
% 0.52/0.44 thf(func_def_62, type, sP2: !>[X0: $tType]:((pi > set @ product_prod @ pi @ pi > pi > X0 > name > $o))).
% 0.52/0.44 thf(func_def_63, type, sP3: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 0.52/0.44 thf(func_def_64, type, sP4: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 0.52/0.44 thf(func_def_65, type, sP5: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 0.52/0.44 thf(func_def_66, type, sP6: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 0.52/0.44 thf(func_def_67, type, sP7: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 0.52/0.44 thf(func_def_68, type, sP8: ((pi > $o) > $o)).
% 0.52/0.44 thf(func_def_69, type, sP9: ((pi > $o) > $o)).
% 0.52/0.44 thf(func_def_70, type, sP10: ((pi > $o) > $o)).
% 0.52/0.44 thf(func_def_71, type, sP11: ((pi > $o) > $o)).
% 0.52/0.44 thf(func_def_72, type, sP12: ((pi > $o) > $o)).
% 0.52/0.44 thf(func_def_73, type, sP13: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 0.52/0.44 thf(func_def_74, type, sP14: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 0.52/0.44 thf(func_def_75, type, sP15: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 0.52/0.44 thf(func_def_76, type, sP16: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 0.52/0.44 thf(func_def_77, type, sP17: !>[X0: $tType]:(((X0 > pi > $o) > $o))).
% 0.52/0.44 thf(func_def_78, type, sP18: (late_subject > name > pi > name > pi > $o)).
% 0.52/0.44 thf(func_def_79, type, sK19: ((late_residual > $o) > late_freeRes)).
% 0.52/0.44 thf(func_def_80, type, sK20: ((late_residual > $o) > pi)).
% 0.52/0.44 thf(func_def_81, type, sK21: ((late_residual > $o) > name)).
% 0.52/0.44 thf(func_def_82, type, sK22: ((late_residual > $o) > late_subject)).
% 0.52/0.44 thf(func_def_83, type, sK23: ((late_residual > $o) > pi)).
% 0.52/0.44 thf(func_def_84, type, sK24: (name > pi > late_residual > name)).
% 0.52/0.44 thf(func_def_85, type, sK25: (name > pi > late_residual > late_subject)).
% 0.52/0.44 thf(func_def_86, type, sK26: (name > pi > late_residual > name)).
% 0.52/0.44 thf(func_def_87, type, sK27: (name > pi > late_residual > pi)).
% 0.52/0.44 thf(func_def_88, type, sK28: (name > pi > late_residual > pi)).
% 0.52/0.44 thf(func_def_89, type, sK29: (pi > name > late_residual > late_freeRes)).
% 0.52/0.44 thf(func_def_90, type, sK30: (pi > name > late_residual > name)).
% 0.52/0.44 thf(func_def_91, type, sK31: (pi > name > late_residual > pi)).
% 0.52/0.44 thf(func_def_92, type, sK32: (pi > name > late_residual > pi)).
% 0.52/0.44 thf(func_def_93, type, sK33: (pi > name > late_residual > name)).
% 0.52/0.44 thf(func_def_94, type, sK34: (pi > name > late_residual > pi)).
% 0.52/0.44 thf(func_def_95, type, sK35: (pi > name > late_residual > name)).
% 0.52/0.44 thf(func_def_96, type, sK36: (pi > name > late_residual > pi)).
% 0.52/0.44 thf(func_def_97, type, sK37: !>[X0: $tType]:(((name > name > X0) > (X0 > $o) > name))).
% 0.52/0.44 thf(func_def_98, type, sK38: !>[X0: $tType]:(((name > name > X0) > (X0 > $o) > name))).
% 0.52/0.44 thf(func_def_99, type, sK39: (late_residual > name > pi > name > name)).
% 0.52/0.44 thf(func_def_100, type, sK40: (late_residual > name > pi > name > pi)).
% 0.52/0.44 thf(func_def_101, type, sK41: (late_residual > name > pi > name > name)).
% 0.52/0.44 thf(func_def_102, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X3))).
% 0.52/0.44 thf(func_def_103, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X0))).
% 0.52/0.44 thf(func_def_104, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X1))).
% 0.52/0.44 thf(func_def_105, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X2))).
% 0.52/0.44 thf(func_def_106, type, sK46: (late_subject > name > pi > pi > pi > name)).
% 0.52/0.44 thf(func_def_107, type, sK47: (late_subject > name > pi > pi > pi > late_subject)).
% 0.52/0.44 thf(func_def_108, type, sK48: (late_subject > name > pi > pi > pi > pi)).
% 0.52/0.44 thf(func_def_109, type, sK49: (late_subject > name > pi > pi > pi > pi)).
% 0.52/0.44 thf(func_def_110, type, sK50: (late_subject > name > pi > pi > pi > pi)).
% 0.52/0.44 thf(func_def_111, type, sK51: (pi > name > late_subject > pi > pi > late_subject)).
% 0.52/0.44 thf(func_def_112, type, sK52: (pi > name > late_subject > pi > pi > name)).
% 0.52/0.44 thf(func_def_113, type, sK53: (pi > name > late_subject > pi > pi > pi)).
% 0.52/0.44 thf(func_def_114, type, sK54: (pi > name > late_subject > pi > pi > pi)).
% 0.52/0.44 thf(func_def_115, type, sK55: (pi > name > late_subject > pi > pi > pi)).
% 0.52/0.44 thf(func_def_116, type, sK56: !>[X0: $tType]:((X0 > name))).
% 0.52/0.44 thf(func_def_117, type, sK57: (name > pi > late_subject > pi > (pi > $o) > pi)).
% 0.52/0.44 thf(func_def_118, type, sK58: (name > pi > late_subject > pi > (pi > $o) > pi)).
% 0.52/0.44 thf(func_def_119, type, sK59: !>[X0: $tType]:((pi > set @ product_prod @ pi @ pi > pi > X0 > name > pi))).
% 0.52/0.44 thf(func_def_120, type, sK60: !>[X0: $tType]:((pi > set @ product_prod @ pi @ pi > pi > X0 > name > late_subject))).
% 0.52/0.44 thf(func_def_121, type, sK61: !>[X0: $tType]:((pi > set @ product_prod @ pi @ pi > pi > X0 > name > name))).
% 0.52/0.44 thf(func_def_122, type, sK62: (pi > set @ product_prod @ pi @ pi > pi > name > late_freeRes)).
% 0.52/0.44 thf(func_def_123, type, sK63: (pi > set @ product_prod @ pi @ pi > pi > name > pi)).
% 0.52/0.44 thf(func_def_124, type, sK64: (pi > set @ product_prod @ pi @ pi > pi > name > name)).
% 0.52/0.44 thf(func_def_125, type, sK65: (pi > set @ product_prod @ pi @ pi > pi > name > pi)).
% 0.52/0.44 thf(func_def_126, type, sK66: (late_subject > name > pi > pi > set @ product_prod @ pi @ pi > pi)).
% 0.52/0.44 thf(func_def_127, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > X0))).
% 0.52/0.44 thf(func_def_128, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > X1))).
% 0.52/0.44 thf(func_def_129, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > X3))).
% 0.52/0.44 thf(func_def_130, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > X2))).
% 0.52/0.44 thf(func_def_131, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ X6 > $o) > X1))).
% 0.52/0.44 thf(func_def_132, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ X6 > $o) > X2))).
% 0.52/0.44 thf(func_def_133, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ X6 > $o) > X5))).
% 0.52/0.44 thf(func_def_134, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ X6 > $o) > X6))).
% 0.52/0.44 thf(func_def_135, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ X6 > $o) > X0))).
% 0.52/0.44 thf(func_def_136, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ X6 > $o) > X4))).
% 0.52/0.44 thf(func_def_137, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ X6 > $o) > X3))).
% 0.52/0.44 thf(func_def_138, type, sK78: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 0.52/0.44 thf(func_def_139, type, sK79: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 0.52/0.44 thf(func_def_140, type, sK80: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 0.52/0.44 thf(func_def_141, type, sK81: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 0.52/0.44 thf(func_def_142, type, sK82: (pi > pi > set @ product_prod @ pi @ pi > pi)).
% 0.52/0.44 thf(func_def_143, type, sK83: (pi > pi > set @ product_prod @ pi @ pi > late_freeRes)).
% 0.52/0.44 thf(func_def_144, type, sK84: !>[X0: $tType]:((pi > pi > set @ product_prod @ pi @ pi > X0 > pi))).
% 0.52/0.44 thf(func_def_145, type, sK85: !>[X0: $tType]:((pi > pi > set @ product_prod @ pi @ pi > X0 > late_subject))).
% 0.52/0.44 thf(func_def_146, type, sK86: !>[X0: $tType]:((pi > pi > set @ product_prod @ pi @ pi > X0 > name))).
% 0.52/0.44 thf(func_def_147, type, sK87: (set @ product_prod @ pi @ pi > pi)).
% 0.52/0.44 thf(func_def_148, type, sK88: (late_residual > pi > pi)).
% 0.52/0.44 thf(func_def_149, type, sK89: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.52/0.44 thf(func_def_150, type, sK90: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.52/0.44 thf(func_def_151, type, sK91: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.52/0.44 thf(func_def_152, type, sK92: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.52/0.44 thf(func_def_153, type, sK93: !>[X0: $tType]:(((X0 > late_residual > $o) > late_freeRes))).
% 0.52/0.44 thf(func_def_154, type, sK94: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 0.52/0.44 thf(func_def_155, type, sK95: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 0.52/0.44 thf(func_def_156, type, sK96: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 0.52/0.44 thf(func_def_157, type, sK97: !>[X0: $tType]:(((X0 > late_residual > $o) > late_subject))).
% 0.52/0.44 thf(func_def_158, type, sK98: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 0.52/0.44 thf(func_def_159, type, sK99: !>[X0: $tType]:(((X0 > late_residual > $o) > name))).
% 0.52/0.44 thf(func_def_160, type, sK100: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 0.52/0.44 thf(func_def_161, type, sK101: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 0.52/0.44 thf(func_def_162, type, sK102: (set @ product_prod @ pi @ pi > pi)).
% 0.52/0.44 thf(func_def_163, type, sK103: (set @ product_prod @ pi @ pi > pi)).
% 0.52/0.44 thf(func_def_164, type, sK104: (set @ product_prod @ pi @ pi > name)).
% 0.52/0.44 thf(func_def_165, type, sK105: (set @ product_prod @ pi @ pi > pi)).
% 0.52/0.44 thf(func_def_166, type, sK106: (set @ product_prod @ pi @ pi > pi)).
% 0.52/0.44 thf(func_def_167, type, sK107: !>[X0: $tType]:(((X0 > $o) > (name > name > X0) > name))).
% 0.52/0.44 thf(func_def_168, type, sK108: !>[X0: $tType]:(((X0 > $o) > (name > name > X0) > name))).
% 0.52/0.44 thf(func_def_169, type, sK109: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 0.52/0.44 thf(func_def_170, type, sK110: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 0.52/0.44 thf(func_def_171, type, sK111: (set @ product_prod @ pi @ pi > pi)).
% 0.52/0.44 thf(func_def_172, type, sK112: ((late_freeRes > $o) > name)).
% 0.52/0.44 thf(func_def_173, type, sK113: ((late_freeRes > $o) > name)).
% 0.52/0.44 thf(func_def_174, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X1))).
% 0.52/0.44 thf(func_def_175, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X2))).
% 0.52/0.44 thf(func_def_176, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X0))).
% 0.52/0.44 thf(func_def_177, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X1))).
% 0.52/0.44 thf(func_def_178, type, sK118: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X3))).
% 0.52/0.44 thf(func_def_179, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X5))).
% 0.52/0.44 thf(func_def_180, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X2))).
% 0.52/0.44 thf(func_def_181, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X0))).
% 0.52/0.44 thf(func_def_182, type, sK122: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X4))).
% 0.52/0.44 thf(func_def_183, type, sK123: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.52/0.44 thf(func_def_184, type, sK124: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.52/0.44 thf(func_def_185, type, sK125: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.52/0.44 thf(func_def_186, type, sK126: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.52/0.44 thf(func_def_187, type, sK127: (pi > late_residual > pi)).
% 0.52/0.44 thf(func_def_188, type, sK128: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 0.52/0.44 thf(func_def_189, type, sK129: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 0.52/0.44 thf(func_def_190, type, sK130: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 0.52/0.44 thf(func_def_191, type, sK131: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 0.52/0.44 thf(func_def_192, type, sK132: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_193, type, sK133: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_194, type, sK134: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_195, type, sK135: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_196, type, sK136: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_197, type, sK137: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_198, type, sK138: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_199, type, sK139: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_200, type, sK140: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_201, type, sK141: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_202, type, sK142: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_203, type, sK143: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_204, type, sK144: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_205, type, sK145: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_206, type, sK146: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_207, type, sK147: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_208, type, sK148: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_209, type, sK149: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_210, type, sK150: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_211, type, sK151: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_212, type, sK152: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_213, type, sK153: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_214, type, sK154: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_215, type, sK155: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_216, type, sK156: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_217, type, sK157: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_218, type, sK158: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_219, type, sK159: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_220, type, sK160: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_221, type, sK161: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_222, type, sK162: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X4 > X4))).
% 0.52/0.44 thf(func_def_223, type, sK163: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X4 > X0))).
% 0.52/0.44 thf(func_def_224, type, sK164: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X4 > X2))).
% 0.52/0.44 thf(func_def_225, type, sK165: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X4 > X3))).
% 0.52/0.44 thf(func_def_226, type, sK166: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X4 > X1))).
% 0.52/0.44 thf(func_def_227, type, sK167: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 0.52/0.44 thf(func_def_228, type, sK168: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 0.52/0.44 thf(func_def_229, type, sK169: !>[X0: $tType]:(((X0 > late_residual > $o) > late_freeRes))).
% 0.52/0.44 thf(func_def_230, type, sK170: !>[X0: $tType]:(((X0 > late_residual > $o) > name))).
% 0.52/0.44 thf(func_def_231, type, sK171: !>[X0: $tType]:(((X0 > late_residual > $o) > X0))).
% 0.52/0.44 thf(func_def_232, type, sK172: !>[X0: $tType]:(((X0 > late_residual > $o) > pi))).
% 0.52/0.44 thf(func_def_233, type, sK173: !>[X0: $tType]:(((X0 > late_residual > $o) > late_subject))).
% 0.52/0.44 thf(func_def_234, type, sK174: (late_freeRes > pi > pi > set @ product_prod @ pi @ pi > pi)).
% 0.52/0.44 thf(func_def_235, type, sK175: (name > late_residual > name > pi > name)).
% 0.52/0.44 thf(func_def_236, type, sK176: (name > late_residual > name > pi > name)).
% 0.52/0.44 thf(func_def_237, type, sK177: (name > late_residual > name > pi > pi)).
% 0.52/0.44 thf(func_def_238, type, sK178: (pi > name > name > late_residual > pi)).
% 0.52/0.44 thf(func_def_239, type, sK179: (pi > name > name > late_residual > name)).
% 0.52/0.44 thf(func_def_240, type, sK180: (pi > name > name > late_residual > name)).
% 0.52/0.44 thf(func_def_241, type, sK181: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.52/0.44 thf(func_def_242, type, sK182: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X5 @ X6 > X5))).
% 0.52/0.44 thf(func_def_243, type, sK183: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X5 @ X6 > X2))).
% 0.52/0.44 thf(func_def_244, type, sK184: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X5 @ X6 > X4))).
% 0.52/0.44 thf(func_def_245, type, sK185: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X5 @ X6 > X6))).
% 0.52/0.44 thf(func_def_246, type, sK186: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X5 @ X6 > X3))).
% 0.52/0.44 thf(func_def_247, type, sK187: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X5 @ X6 > X0))).
% 0.52/0.44 thf(func_def_248, type, sK188: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X5 @ X6 > X1))).
% 0.52/0.44 thf(func_def_249, type, sK189: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 0.52/0.44 thf(func_def_250, type, sK190: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 0.52/0.44 thf(func_def_251, type, sK191: !>[X0: $tType]:(((X0 > late_subject > $o) > X0))).
% 0.52/0.44 thf(func_def_252, type, sK192: !>[X0: $tType]:(((X0 > late_subject > $o) > name))).
% 0.52/0.44 thf(func_def_253, type, sK193: (late_subject > name)).
% 0.52/0.44 thf(func_def_254, type, sK194: (late_subject > name)).
% 0.52/0.44 thf(func_def_255, type, sK195: (pi > pi > late_freeRes > name > late_freeRes)).
% 0.52/0.44 thf(func_def_256, type, sK196: (pi > pi > late_freeRes > name > pi)).
% 0.52/0.44 thf(func_def_257, type, sK197: (pi > pi > late_freeRes > name > name)).
% 0.52/0.44 thf(func_def_258, type, sK198: (pi > pi > late_freeRes > name > pi)).
% 0.52/0.44 thf(func_def_259, type, sK199: ((pi > $o) > name)).
% 0.52/0.44 thf(func_def_260, type, sK200: ((pi > $o) > pi)).
% 0.52/0.44 thf(func_def_261, type, sK201: ((pi > $o) > name)).
% 0.52/0.44 thf(func_def_262, type, sK202: ((pi > $o) > pi)).
% 0.52/0.44 thf(func_def_263, type, sK203: ((pi > $o) > name)).
% 0.52/0.44 thf(func_def_264, type, sK204: ((pi > $o) > name)).
% 0.52/0.44 thf(func_def_265, type, sK205: ((pi > $o) > pi)).
% 0.52/0.44 thf(func_def_266, type, sK206: ((pi > $o) > name)).
% 0.52/0.44 thf(func_def_267, type, sK207: ((pi > $o) > pi)).
% 0.52/0.44 thf(func_def_268, type, sK208: ((pi > $o) > pi)).
% 0.52/0.44 thf(func_def_269, type, sK209: ((pi > $o) > pi)).
% 0.52/0.44 thf(func_def_270, type, sK210: ((pi > $o) > pi)).
% 0.52/0.44 thf(func_def_271, type, sK211: ((pi > $o) > name)).
% 0.52/0.44 thf(func_def_272, type, sK212: ((pi > $o) > name)).
% 0.52/0.44 thf(func_def_273, type, sK213: ((pi > $o) > pi)).
% 0.52/0.44 thf(func_def_274, type, sK214: ((pi > $o) > pi)).
% 0.52/0.44 thf(func_def_275, type, sK215: ((pi > $o) > pi)).
% 0.52/0.44 thf(func_def_276, type, sK216: ((pi > $o) > pi)).
% 0.52/0.44 thf(func_def_277, type, sK217: ((pi > $o) > name)).
% 0.52/0.44 thf(func_def_278, type, sK218: ((pi > $o) > name)).
% 0.52/0.44 thf(func_def_279, type, sK219: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X4 > $o) > X1))).
% 0.52/0.44 thf(func_def_280, type, sK220: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X4 > $o) > X2))).
% 0.52/0.44 thf(func_def_281, type, sK221: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X4 > $o) > X0))).
% 0.52/0.44 thf(func_def_282, type, sK222: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X4 > $o) > X3))).
% 0.52/0.44 thf(func_def_283, type, sK223: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X4 > $o) > X4))).
% 0.52/0.44 thf(func_def_284, type, sK224: !>[X0: $tType]:(((X0 > $o) > (name > X0) > name))).
% 0.52/0.44 thf(func_def_285, type, sK225: !>[X0: $tType]:(((name > X0) > (X0 > $o) > name))).
% 0.52/0.44 thf(func_def_286, type, sK226: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X0))).
% 0.52/0.44 thf(func_def_287, type, sK227: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X5))).
% 0.52/0.44 thf(func_def_288, type, sK228: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X3))).
% 0.52/0.44 thf(func_def_289, type, sK229: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X4))).
% 0.52/0.44 thf(func_def_290, type, sK230: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X1))).
% 0.52/0.44 thf(func_def_291, type, sK231: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X2))).
% 0.52/0.44 thf(func_def_292, type, sK232: (late_residual > name > name > pi > pi)).
% 0.52/0.44 thf(func_def_293, type, sK233: !>[X0: $tType]:(((name > X0) > (X0 > $o) > name))).
% 0.52/0.44 thf(func_def_294, type, sK234: !>[X0: $tType]:(((X0 > $o) > (name > X0) > name))).
% 0.52/0.44 thf(func_def_295, type, sK235: (pi > set @ product_prod @ pi @ pi > pi > late_freeRes)).
% 0.52/0.44 thf(func_def_296, type, sK236: (pi > set @ product_prod @ pi @ pi > pi > pi)).
% 0.52/0.44 thf(func_def_297, type, sK237: (pi > set @ product_prod @ pi @ pi > pi > name)).
% 0.52/0.44 thf(func_def_298, type, sK238: (pi > set @ product_prod @ pi @ pi > pi > late_subject)).
% 0.52/0.44 thf(func_def_299, type, sK239: (pi > set @ product_prod @ pi @ pi > pi > pi)).
% 0.52/0.44 thf(func_def_300, type, sK240: (late_freeRes > name)).
% 0.52/0.44 thf(func_def_301, type, sK241: (late_freeRes > name)).
% 0.52/0.44 thf(func_def_302, type, sK242: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X1))).
% 0.52/0.44 thf(func_def_303, type, sK243: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X0))).
% 0.52/0.44 thf(func_def_304, type, sK244: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X2))).
% 0.52/0.44 thf(func_def_305, type, sK245: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.52/0.44 thf(func_def_306, type, sK246: ((late_subject > $o) > name)).
% 0.52/0.44 thf(func_def_307, type, sK247: ((late_subject > $o) > name)).
% 0.52/0.44 thf(func_def_308, type, sK248: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_309, type, sK249: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_310, type, sK250: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_311, type, sK251: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_312, type, sK252: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_313, type, sK253: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_314, type, sK254: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_315, type, sK255: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_316, type, sK256: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_317, type, sK257: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_318, type, sK258: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_319, type, sK259: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_320, type, sK260: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_321, type, sK261: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_322, type, sK262: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_323, type, sK263: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_324, type, sK264: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_325, type, sK265: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_326, type, sK266: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_327, type, sK267: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_328, type, sK268: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_329, type, sK269: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_330, type, sK270: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_331, type, sK271: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_332, type, sK272: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_333, type, sK273: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_334, type, sK274: !>[X0: $tType]:(((X0 > pi > $o) > name))).
% 0.52/0.44 thf(func_def_335, type, sK275: !>[X0: $tType]:(((X0 > pi > $o) > pi))).
% 0.52/0.44 thf(func_def_336, type, sK276: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_337, type, sK277: !>[X0: $tType]:(((X0 > pi > $o) > X0))).
% 0.52/0.44 thf(func_def_338, type, sK278: (pi > (pi > $o) > name > late_freeRes > pi)).
% 0.52/0.44 thf(func_def_339, type, sK279: (late_subject > name > pi > name > pi > name)).
% 0.52/0.44 thf(func_def_340, type, sK280: (late_subject > name > pi > name > pi > pi)).
% 0.52/0.44 thf(func_def_341, type, sK281: (late_subject > name > pi > name > pi > late_subject)).
% 0.52/0.44 thf(func_def_342, type, sK282: (late_subject > name > pi > name > pi > name)).
% 0.52/0.44 thf(func_def_343, type, sK283: (late_subject > name > pi > name > pi > pi)).
% 0.52/0.44 thf(func_def_344, type, sK284: (pi > name > late_subject > name > pi > pi)).
% 0.52/0.44 thf(func_def_345, type, sK285: (pi > name > late_subject > name > pi > name)).
% 0.52/0.44 thf(func_def_346, type, sK286: (pi > name > late_subject > name > pi > name)).
% 0.52/0.44 thf(func_def_347, type, sK287: (pi > name > late_subject > name > pi > pi)).
% 0.52/0.44 thf(f1,axiom,(
% 0.52/0.44 (strong2129052853vative @ (par @ (par @ p @ q2) @ r) @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)),
% 0.52/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062derivative_A_I_IP_A_092_060parallel_062_AQ_H_J_A_092_060parallel_062_AR_J_A_IP_A_092_060parallel_062_AQ_H_A_092_060parallel_062_AR_J_Aa_Ax_ARel_092_060close_062)).
% 0.52/0.44 thf(f3,axiom,(
% 0.52/0.44 (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ (par @ (par @ p @ q2) @ r)))),
% 0.52/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062_IP_A_092_060parallel_062_AQ_J_A_092_060parallel_062_AR_A_092_060longmapsto_062_Aa_092_060guillemotleft_062x_092_060guillemotright_062_A_092_060prec_062_A_IP_A_092_060parallel_062_AQ_H_J_A_092_060parallel_062_AR_092_060close_062)).
% 0.52/0.44 thf(f267,conjecture,(
% 0.52/0.44 ? [X0 : pi] : ((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0)) & (strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel))),
% 0.52/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.52/0.44 thf(f268,negated_conjecture,(
% 0.52/0.44 ~ ? [X0 : pi] : ((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0)) & (strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel))),
% 0.52/0.44 inference(negated_conjecture,[status(cth)],[f267])).
% 0.52/0.44 thf(f416,plain,(
% 0.52/0.44 (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ (par @ (par @ p @ q2) @ r)))),
% 0.52/0.44 inference(rectify,[],[f3])).
% 0.52/0.44 thf(f417,plain,(
% 0.52/0.44 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ (par @ (par @ p @ q2) @ r)))) = $true)),
% 0.52/0.44 inference(fool_elimination,[],[f416])).
% 0.52/0.44 thf(f442,plain,(
% 0.52/0.44 ~ ? [X0 : pi] : ((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0)) & (strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel))),
% 0.52/0.44 inference(rectify,[],[f268])).
% 0.52/0.44 thf(f443,plain,(
% 0.52/0.44 ~ ? [X0 : pi] : ((((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0))) = $true) & (((strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) = $true))),
% 0.52/0.44 inference(fool_elimination,[],[f442])).
% 0.52/0.44 thf(f542,plain,(
% 0.52/0.44 (strong2129052853vative @ (par @ (par @ p @ q2) @ r) @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)),
% 0.52/0.44 inference(rectify,[],[f1])).
% 0.52/0.44 thf(f543,plain,(
% 0.52/0.44 (((strong2129052853vative @ (par @ (par @ p @ q2) @ r) @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) = $true)),
% 0.52/0.44 inference(fool_elimination,[],[f542])).
% 0.52/0.44 thf(f894,plain,(
% 0.52/0.44 ! [X0 : pi] : ((((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0))) != $true) | (((strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) != $true))),
% 0.52/0.44 inference(ennf_transformation,[],[f443])).
% 0.52/0.44 thf(f1446,plain,(
% 0.52/0.44 ( ! [X0 : pi] : ((((strong2129052853vative @ X0 @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) != $true) | (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ X0))) != $true)) )),
% 0.52/0.44 inference(cnf_transformation,[],[f894])).
% 0.52/0.44 thf(f1495,plain,(
% 0.52/0.44 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ (par @ (par @ p @ q2) @ r)))) = $true)),
% 0.52/0.44 inference(cnf_transformation,[],[f417])).
% 0.52/0.44 thf(f1625,plain,(
% 0.52/0.44 (((strong2129052853vative @ (par @ (par @ p @ q2) @ r) @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) = $true)),
% 0.52/0.44 inference(cnf_transformation,[],[f543])).
% 0.52/0.44 thf(f1908,definition,(
% 0.52/0.44 spl288_6 <=> (((strong2129052853vative @ (par @ (par @ p @ q2) @ r) @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) = $true)),
% 0.52/0.44 introduced(definition,[new_symbols(definition,[spl288_6])],[avatar_definition])).
% 0.52/0.44 thf(f1910,plain,(
% 0.52/0.44 (((strong2129052853vative @ (par @ (par @ p @ q2) @ r) @ (par @ p @ (par @ q2 @ r)) @ a @ x @ rel)) = $true) | ~spl288_6),
% 0.52/0.44 inference(avatar_component_clause,[],[f1908])).
% 0.52/0.44 thf(f1911,plain,(
% 0.52/0.44 spl288_6),
% 0.52/0.44 inference(avatar_split_clause,[],[f1625,f1908])).
% 0.52/0.44 thf(f1938,definition,(
% 0.52/0.44 spl288_12 <=> (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ (par @ (par @ p @ q2) @ r)))) = $true)),
% 0.52/0.44 introduced(definition,[new_symbols(definition,[spl288_12])],[avatar_definition])).
% 0.52/0.44 thf(f1940,plain,(
% 0.52/0.44 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ (par @ (par @ p @ q2) @ r)))) = $true) | ~spl288_12),
% 0.52/0.44 inference(avatar_component_clause,[],[f1938])).
% 0.52/0.44 thf(f1941,plain,(
% 0.52/0.44 spl288_12),
% 0.52/0.44 inference(avatar_split_clause,[],[f1495,f1938])).
% 0.52/0.44 thf(f2033,plain,(
% 0.52/0.44 ($true != $true) | (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ (par @ (par @ p @ q2) @ r)))) != $true) | ~spl288_6),
% 0.52/0.44 inference(superposition,[],[f1446,f1910])).
% 0.52/0.44 thf(f2034,plain,(
% 0.52/0.44 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_BoundR @ a @ x @ (par @ (par @ p @ q2) @ r)))) != $true) | ~spl288_6),
% 0.52/0.44 inference(trivial_inequality_removal,[],[f2033])).
% 0.52/0.44 thf(f2035,plain,(
% 0.52/0.44 $false | (~spl288_6 | ~spl288_12)),
% 0.52/0.44 inference(forward_subsumption_resolution,[],[f2034,f1940])).
% 0.52/0.44 thf(f2036,plain,(
% 0.52/0.44 ~spl288_6 | ~spl288_12),
% 0.52/0.44 inference(avatar_contradiction_clause,[],[f2035])).
% 0.52/0.44 cnf(s6, plain, spl288_6, inference(sat_conversion,[],[f1911])).
% 0.52/0.44 cnf(s12, plain, spl288_12, inference(sat_conversion,[],[f1941])).
% 0.52/0.44 cnf(s22, plain, ~spl288_6 | ~spl288_12, inference(sat_conversion,[],[f2036])).
% 0.52/0.44 cnf(s23, plain, ~spl288_6, inference(rat,[],[s22,s12])).
% 0.52/0.44 cnf(s25, plain, $false, inference(rat,[],[s6,s23])).
% 0.52/0.44 thf(f2037,plain,(
% 0.52/0.44 $false),
% 0.52/0.44 inference(avatar_sat_refutation,[],[s25])).
% 0.52/0.44 % SZS output end Proof for theBenchmark
% 0.52/0.44 % (1113792)------------------------------
% 0.52/0.44 % (1113792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.44 % (1113792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.44 % (1113792)CaDiCaL version: 2.1.3
% 0.52/0.44 % (1113792)Termination reason: Refutation
% 0.52/0.44 % (1113792)Time elapsed: 0.102 s
% 0.52/0.44 % (1113792)Peak memory usage: 15 MB
% 0.52/0.44 % (1113792)Instructions burned: 216 (million)
% 0.52/0.44 % (1113784)Success in time 0.145 s
% 0.52/0.44 % Vampire exiting
%------------------------------------------------------------------------------