%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT232^1 : 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:48:36 AM UTC 2026
% Result : Theorem 1.87s 0.64s
% Output : Refutation 1.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : DAT232^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 % Computer : n018.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Tue Sep 29 18:15:11 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 Running higher-order theorem proving
% 0.23/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.93/0.47 % (449578)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.93/0.47 % (449595)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2981004030:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.93/0.47 % (449595)Instruction limit reached!
% 0.93/0.47 % (449595)------------------------------
% 0.93/0.47 % (449595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.47 % (449595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.47 % (449595)CaDiCaL version: 2.1.3
% 0.93/0.47 % (449595)Termination reason: Instruction limit
% 0.93/0.47 % (449595)Termination phase: shuffling
% 0.93/0.47 % (449595)Time elapsed: 0.002 s
% 0.93/0.47 % (449595)Peak memory usage: 10 MB
% 0.93/0.47 % (449595)Instructions burned: 7 (million)
% 0.93/0.47 % (449599)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.93/0.47 % (449599)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
% 0.93/0.47 % (449593)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1833038237:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.93/0.47 % (449594)lrs+10_16_si=on:nwc=1.5:random_seed=1886152932:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.93/0.47 % (449598)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2424543781:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.93/0.47 % (449596)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=3202889884: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)
% 0.93/0.47 % (449597)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3690645738:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.93/0.47 % (449599)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=3288903329:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.93/0.47 % (449609)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3850361980:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.93/0.47 % (449609)Instruction limit reached!
% 0.93/0.47 % (449609)------------------------------
% 0.93/0.47 % (449609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.47 % (449609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.47 % (449609)CaDiCaL version: 2.1.3
% 0.93/0.47 % (449609)Termination reason: Instruction limit
% 0.93/0.47 % (449609)Termination phase: shuffling
% 0.93/0.47 % (449609)Time elapsed: 0.001 s
% 0.93/0.47 % (449609)Peak memory usage: 10 MB
% 0.93/0.47 % (449609)Instructions burned: 3 (million)
% 0.93/0.47 % (449594)Instruction limit reached!
% 0.93/0.47 % (449594)------------------------------
% 0.93/0.47 % (449594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.47 % (449594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.47 % (449594)CaDiCaL version: 2.1.3
% 0.93/0.47 % (449594)Termination reason: Instruction limit
% 0.93/0.47 % (449594)Termination phase: shuffling
% 0.93/0.47 % (449594)Time elapsed: 0.009 s
% 0.93/0.47 % (449594)Peak memory usage: 10 MB
% 0.93/0.47 % (449594)Instructions burned: 20 (million)
% 0.93/0.47 % (449597)Instruction limit reached!
% 0.93/0.47 % (449597)------------------------------
% 0.93/0.47 % (449597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.47 % (449597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.47 % (449597)CaDiCaL version: 2.1.3
% 0.93/0.47 % (449597)Termination reason: Instruction limit
% 0.93/0.47 % (449597)Termination phase: shuffling
% 0.93/0.47 % (449597)Time elapsed: 0.011 s
% 0.93/0.47 % (449597)Peak memory usage: 10 MB
% 0.93/0.47 % (449597)Instructions burned: 24 (million)
% 0.93/0.47 % (449622)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3416962139:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.93/0.47 % (449622)Instruction limit reached!
% 0.93/0.50 % (449622)------------------------------
% 0.93/0.50 % (449622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (449622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (449622)CaDiCaL version: 2.1.3
% 0.93/0.50 % (449622)Termination reason: Instruction limit
% 0.93/0.50 % (449622)Termination phase: shuffling
% 0.93/0.50 % (449622)Time elapsed: 0.002 s
% 0.93/0.50 % (449622)Peak memory usage: 10 MB
% 0.93/0.50 % (449622)Instructions burned: 7 (million)
% 0.93/0.50 % (449623)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.93/0.50 % (449628)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
% 0.93/0.50 % (449628)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.93/0.50 % (449623)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3505791121:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.93/0.50 % (449628)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3535990124:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.93/0.50 % (449624)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=436886695:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.93/0.50 % (449623)Instruction limit reached!
% 0.93/0.50 % (449623)------------------------------
% 0.93/0.50 % (449623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (449623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (449623)CaDiCaL version: 2.1.3
% 0.93/0.50 % (449623)Termination reason: Instruction limit
% 0.93/0.50 % (449623)Termination phase: shuffling
% 0.93/0.50 % (449623)Time elapsed: 0.004 s
% 0.93/0.50 % (449623)Peak memory usage: 10 MB
% 0.93/0.50 % (449623)Instructions burned: 8 (million)
% 0.93/0.50 % (449598)Instruction limit reached!
% 0.93/0.50 % (449598)------------------------------
% 0.93/0.50 % (449598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (449598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (449598)CaDiCaL version: 2.1.3
% 0.93/0.50 % (449598)Termination reason: Instruction limit
% 0.93/0.50 % (449598)Termination phase: Preprocessing 3
% 0.93/0.50 % (449598)Time elapsed: 0.037 s
% 0.93/0.50 % (449598)Peak memory usage: 12 MB
% 0.93/0.50 % (449598)Instructions burned: 75 (million)
% 0.93/0.50 % (449628)Instruction limit reached!
% 0.93/0.50 % (449628)------------------------------
% 0.93/0.50 % (449628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (449628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (449628)CaDiCaL version: 2.1.3
% 0.93/0.50 % (449628)Termination reason: Instruction limit
% 0.93/0.50 % (449628)Termination phase: shuffling
% 0.93/0.50 % (449628)Time elapsed: 0.007 s
% 0.93/0.50 % (449628)Peak memory usage: 10 MB
% 0.93/0.50 % (449628)Instructions burned: 30 (million)
% 0.93/0.50 % (449624)Instruction limit reached!
% 0.93/0.50 % (449624)------------------------------
% 0.93/0.50 % (449624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (449624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (449624)CaDiCaL version: 2.1.3
% 0.93/0.50 % (449624)Termination reason: Instruction limit
% 0.93/0.50 % (449624)Termination phase: shuffling
% 0.93/0.50 % (449624)Time elapsed: 0.006 s
% 0.93/0.50 % (449624)Peak memory usage: 10 MB
% 0.93/0.50 % (449624)Instructions burned: 13 (million)
% 0.93/0.50 % (449593)Instruction limit reached!
% 0.93/0.50 % (449593)------------------------------
% 0.93/0.50 % (449593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (449593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (449593)CaDiCaL version: 2.1.3
% 0.93/0.50 % (449593)Termination reason: Instruction limit
% 0.93/0.50 % (449593)Termination phase: Property scanning
% 0.93/0.50 % (449593)Time elapsed: 0.043 s
% 0.93/0.50 % (449593)Peak memory usage: 12 MB
% 0.93/0.50 % (449593)Instructions burned: 88 (million)
% 0.93/0.55 % (449642)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.93/0.55 % (449642)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=1474413222:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.93/0.55 % (449642)Instruction limit reached!
% 0.93/0.55 % (449642)------------------------------
% 0.93/0.55 % (449642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.55 % (449642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.55 % (449642)CaDiCaL version: 2.1.3
% 0.93/0.55 % (449642)Termination reason: Instruction limit
% 0.93/0.55 % (449642)Termination phase: shuffling
% 0.93/0.55 % (449642)Time elapsed: 0.001 s
% 0.93/0.55 % (449642)Peak memory usage: 10 MB
% 0.93/0.55 % (449642)Instructions burned: 3 (million)
% 0.93/0.55 % (449637)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=2608607778:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.93/0.55 % (449643)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2564051695:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.93/0.55 % (449641)lrs+10_1_si=on:cs=on:random_seed=1089246624:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.93/0.55 % (449646)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1888095079:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.93/0.55 % (449652)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3784841400:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.93/0.55 % (449641)Instruction limit reached!
% 0.93/0.55 % (449641)------------------------------
% 0.93/0.55 % (449641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.55 % (449641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.55 % (449641)CaDiCaL version: 2.1.3
% 0.93/0.55 % (449641)Termination reason: Instruction limit
% 0.93/0.55 % (449641)Termination phase: shuffling
% 0.93/0.55 % (449641)Time elapsed: 0.005 s
% 0.93/0.55 % (449641)Peak memory usage: 10 MB
% 0.93/0.55 % (449641)Instructions burned: 9 (million)
% 0.93/0.55 % (449652)Instruction limit reached!
% 0.93/0.55 % (449652)------------------------------
% 0.93/0.55 % (449652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.55 % (449652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.55 % (449652)CaDiCaL version: 2.1.3
% 0.93/0.55 % (449652)Termination reason: Instruction limit
% 0.93/0.55 % (449652)Termination phase: shuffling
% 0.93/0.55 % (449652)Time elapsed: 0.007 s
% 0.93/0.55 % (449652)Peak memory usage: 10 MB
% 0.93/0.55 % (449652)Instructions burned: 27 (million)
% 0.93/0.55 % (449599)Instruction limit reached!
% 0.93/0.55 % (449599)------------------------------
% 0.93/0.55 % (449599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.55 % (449599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.55 % (449599)CaDiCaL version: 2.1.3
% 0.93/0.55 % (449599)Termination reason: Instruction limit
% 0.93/0.55 % (449599)Termination phase: Saturation
% 0.93/0.55 % (449599)Time elapsed: 0.073 s
% 0.93/0.55 % (449599)Peak memory usage: 14 MB
% 0.93/0.55 % (449599)Instructions burned: 158 (million)
% 0.93/0.55 % (449643)Instruction limit reached!
% 0.93/0.55 % (449643)------------------------------
% 0.93/0.55 % (449643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.55 % (449643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.55 % (449643)CaDiCaL version: 2.1.3
% 0.93/0.55 % (449643)Termination reason: Instruction limit
% 0.93/0.55 % (449643)Termination phase: Property scanning
% 0.93/0.55 % (449643)Time elapsed: 0.018 s
% 0.93/0.55 % (449643)Peak memory usage: 10 MB
% 0.93/0.55 % (449643)Instructions burned: 39 (million)
% 0.93/0.55 % (449669)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=31701477:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.93/0.55 % (449664)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=146829693:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.62/0.59 % (449664)Instruction limit reached!
% 1.62/0.59 % (449664)------------------------------
% 1.62/0.59 % (449664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.59 % (449664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.59 % (449664)CaDiCaL version: 2.1.3
% 1.62/0.59 % (449664)Termination reason: Instruction limit
% 1.62/0.59 % (449664)Termination phase: shuffling
% 1.62/0.59 % (449664)Time elapsed: 0.008 s
% 1.62/0.59 % (449664)Peak memory usage: 10 MB
% 1.62/0.59 % (449664)Instructions burned: 15 (million)
% 1.62/0.59 % (449637)Instruction limit reached!
% 1.62/0.59 % (449637)------------------------------
% 1.62/0.59 % (449637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.59 % (449637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.59 % (449637)CaDiCaL version: 2.1.3
% 1.62/0.59 % (449637)Termination reason: Instruction limit
% 1.62/0.59 % (449637)Termination phase: Preprocessing 1
% 1.62/0.59 % (449637)Time elapsed: 0.038 s
% 1.62/0.59 % (449637)Peak memory usage: 11 MB
% 1.62/0.59 % (449637)Instructions burned: 87 (million)
% 1.62/0.59 % (449672)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2738668522:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.62/0.59 % (449673)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3679511238:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.62/0.59 % (449673)Instruction limit reached!
% 1.62/0.59 % (449673)------------------------------
% 1.62/0.59 % (449673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.59 % (449673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.59 % (449673)CaDiCaL version: 2.1.3
% 1.62/0.59 % (449673)Termination reason: Instruction limit
% 1.62/0.59 % (449673)Termination phase: shuffling
% 1.62/0.59 % (449673)Time elapsed: 0.002 s
% 1.62/0.59 % (449673)Peak memory usage: 10 MB
% 1.62/0.59 % (449673)Instructions burned: 3 (million)
% 1.62/0.59 % (449672)Instruction limit reached!
% 1.62/0.59 % (449672)------------------------------
% 1.62/0.59 % (449672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.59 % (449672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.59 % (449672)CaDiCaL version: 2.1.3
% 1.62/0.59 % (449672)Termination reason: Instruction limit
% 1.62/0.59 % (449672)Termination phase: shuffling
% 1.62/0.59 % (449672)Time elapsed: 0.007 s
% 1.62/0.59 % (449672)Peak memory usage: 10 MB
% 1.62/0.59 % (449672)Instructions burned: 15 (million)
% 1.62/0.59 % (449681)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=4097984055:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.62/0.59 % (449680)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2081082999:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.62/0.59 % (449687)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.62/0.59 % (449687)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.62/0.59 % (449686)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4049213958:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.62/0.59 % (449687)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=3100891650:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.62/0.59 % (449681)Instruction limit reached!
% 1.62/0.59 % (449681)------------------------------
% 1.62/0.59 % (449681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.62/0.59 % (449681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.62/0.59 % (449681)CaDiCaL version: 2.1.3
% 1.62/0.59 % (449681)Termination reason: Instruction limit
% 1.62/0.59 % (449681)Termination phase: shuffling
% 1.62/0.59 % (449681)Time elapsed: 0.011 s
% 1.62/0.59 % (449681)Peak memory usage: 10 MB
% 1.62/0.59 % (449681)Instructions burned: 24 (million)
% 1.87/0.64 % (449680)Instruction limit reached!
% 1.87/0.64 % (449680)------------------------------
% 1.87/0.64 % (449680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449680)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449680)Termination reason: Instruction limit
% 1.87/0.64 % (449680)Termination phase: shuffling
% 1.87/0.64 % (449680)Time elapsed: 0.014 s
% 1.87/0.64 % (449680)Peak memory usage: 10 MB
% 1.87/0.64 % (449680)Instructions burned: 30 (million)
% 1.87/0.64 % (449687)Instruction limit reached!
% 1.87/0.64 % (449687)------------------------------
% 1.87/0.64 % (449687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449687)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449687)Termination reason: Instruction limit
% 1.87/0.64 % (449687)Termination phase: shuffling
% 1.87/0.64 % (449687)Time elapsed: 0.007 s
% 1.87/0.64 % (449687)Peak memory usage: 10 MB
% 1.87/0.64 % (449687)Instructions burned: 16 (million)
% 1.87/0.64 % (449698)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.87/0.64 % (449698)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=241270208:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.87/0.64 % (449699)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=253617930:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.87/0.64 % (449686)Instruction limit reached!
% 1.87/0.64 % (449686)------------------------------
% 1.87/0.64 % (449686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449686)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449686)Termination reason: Instruction limit
% 1.87/0.64 % (449686)Termination phase: Preprocessing 3
% 1.87/0.64 % (449686)Time elapsed: 0.029 s
% 1.87/0.64 % (449686)Peak memory usage: 11 MB
% 1.87/0.64 % (449686)Instructions burned: 61 (million)
% 1.87/0.64 % (449698)Instruction limit reached!
% 1.87/0.64 % (449698)------------------------------
% 1.87/0.64 % (449698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449698)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449698)Termination reason: Instruction limit
% 1.87/0.64 % (449698)Termination phase: shuffling
% 1.87/0.64 % (449698)Time elapsed: 0.004 s
% 1.87/0.64 % (449698)Peak memory usage: 10 MB
% 1.87/0.64 % (449698)Instructions burned: 8 (million)
% 1.87/0.64 % (449701)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2104952143:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.87/0.64 % (449701)Instruction limit reached!
% 1.87/0.64 % (449701)------------------------------
% 1.87/0.64 % (449701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449701)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449701)Termination reason: Instruction limit
% 1.87/0.64 % (449701)Termination phase: shuffling
% 1.87/0.64 % (449701)Time elapsed: 0.003 s
% 1.87/0.64 % (449701)Peak memory usage: 10 MB
% 1.87/0.64 % (449701)Instructions burned: 7 (million)
% 1.87/0.64 % (449699)Instruction limit reached!
% 1.87/0.64 % (449699)------------------------------
% 1.87/0.64 % (449699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449699)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449699)Termination reason: Instruction limit
% 1.87/0.64 % (449699)Termination phase: shuffling
% 1.87/0.64 % (449699)Time elapsed: 0.014 s
% 1.87/0.64 % (449699)Peak memory usage: 10 MB
% 1.87/0.64 % (449699)Instructions burned: 31 (million)
% 1.87/0.64 % (449713)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3702334235:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.87/0.64 % (449715)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2744782548:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.87/0.64 % (449669)Instruction limit reached!
% 1.87/0.64 % (449669)------------------------------
% 1.87/0.64 % (449669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449669)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449669)Termination reason: Instruction limit
% 1.87/0.64 % (449669)Termination phase: Saturation
% 1.87/0.64 % (449669)Time elapsed: 0.088 s
% 1.87/0.64 % (449669)Peak memory usage: 15 MB
% 1.87/0.64 % (449669)Instructions burned: 327 (million)
% 1.87/0.64 % (449718)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=680885954:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.87/0.64 % (449646)Instruction limit reached!
% 1.87/0.64 % (449646)------------------------------
% 1.87/0.64 % (449646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449646)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449646)Termination reason: Instruction limit
% 1.87/0.64 % (449646)Termination phase: Saturation
% 1.87/0.64 % (449646)Time elapsed: 0.111 s
% 1.87/0.64 % (449646)Peak memory usage: 13 MB
% 1.87/0.64 % (449646)Instructions burned: 251 (million)
% 1.87/0.64 % (449715)Instruction limit reached!
% 1.87/0.64 % (449715)------------------------------
% 1.87/0.64 % (449715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449715)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449715)Termination reason: Instruction limit
% 1.87/0.64 % (449715)Termination phase: shuffling
% 1.87/0.64 % (449715)Time elapsed: 0.010 s
% 1.87/0.64 % (449715)Peak memory usage: 10 MB
% 1.87/0.64 % (449715)Instructions burned: 20 (million)
% 1.87/0.64 % (449713)Instruction limit reached!
% 1.87/0.64 % (449713)------------------------------
% 1.87/0.64 % (449713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449713)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449713)Termination reason: Instruction limit
% 1.87/0.64 % (449713)Termination phase: shuffling
% 1.87/0.64 % (449713)Time elapsed: 0.011 s
% 1.87/0.64 % (449713)Peak memory usage: 10 MB
% 1.87/0.64 % (449713)Instructions burned: 23 (million)
% 1.87/0.64 % (449719)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1244666008:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.87/0.64 % (449727)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2101742779:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.87/0.64 % (449728)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.87/0.64 % (449726)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3616099501:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.87/0.64 % (449728)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2066811005:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.87/0.64 % (449729)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1279487869:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.87/0.64 % (449728)Instruction limit reached!
% 1.87/0.64 % (449728)------------------------------
% 1.87/0.64 % (449728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449728)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449728)Termination reason: Instruction limit
% 1.87/0.64 % (449728)Termination phase: shuffling
% 1.87/0.64 % (449728)Time elapsed: 0.004 s
% 1.87/0.64 % (449728)Peak memory usage: 10 MB
% 1.87/0.64 % (449728)Instructions burned: 8 (million)
% 1.87/0.64 % (449727)Instruction limit reached!
% 1.87/0.64 % (449727)------------------------------
% 1.87/0.64 % (449727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449727)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449727)Termination reason: Instruction limit
% 1.87/0.64 % (449727)Termination phase: Property scanning
% 1.87/0.64 % (449727)Time elapsed: 0.019 s
% 1.87/0.64 % (449727)Peak memory usage: 10 MB
% 1.87/0.64 % (449727)Instructions burned: 42 (million)
% 1.87/0.64 % (449719)Instruction limit reached!
% 1.87/0.64 % (449719)------------------------------
% 1.87/0.64 % (449719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449719)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449719)Termination reason: Instruction limit
% 1.87/0.64 % (449719)Termination phase: Saturation
% 1.87/0.64 % (449719)Time elapsed: 0.036 s
% 1.87/0.64 % (449719)Peak memory usage: 13 MB
% 1.87/0.64 % (449719)Instructions burned: 145 (million)
% 1.87/0.64 % (449744)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=2590338075:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.87/0.64 % (449747)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.87/0.64 % (449748)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=918487932:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.87/0.64 % (449747)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3999011025:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.87/0.64 % (449748)Instruction limit reached!
% 1.87/0.64 % (449748)------------------------------
% 1.87/0.64 % (449748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449748)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449748)Termination reason: Instruction limit
% 1.87/0.64 % (449748)Termination phase: shuffling
% 1.87/0.64 % (449748)Time elapsed: 0.005 s
% 1.87/0.64 % (449748)Peak memory usage: 10 MB
% 1.87/0.64 % (449748)Instructions burned: 22 (million)
% 1.87/0.64 % (449747)Instruction limit reached!
% 1.87/0.64 % (449747)------------------------------
% 1.87/0.64 % (449747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449747)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449747)Termination reason: Instruction limit
% 1.87/0.64 % (449747)Termination phase: shuffling
% 1.87/0.64 % (449747)Time elapsed: 0.003 s
% 1.87/0.64 % (449747)Peak memory usage: 10 MB
% 1.87/0.64 % (449747)Instructions burned: 6 (million)
% 1.87/0.64 % (449752)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2649161665:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.87/0.64 % (449596) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-449578-449596"...
% 1.87/0.64 % (449752)Instruction limit reached!
% 1.87/0.64 % (449752)------------------------------
% 1.87/0.64 % (449752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449752)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449752)Termination reason: Instruction limit
% 1.87/0.64 % (449752)Termination phase: shuffling
% 1.87/0.64 % (449752)Time elapsed: 0.005 s
% 1.87/0.64 % (449752)Peak memory usage: 10 MB
% 1.87/0.64 % (449752)Instructions burned: 21 (million)
% 1.87/0.64 % (449753)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2224059774:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 1.87/0.64 % (449596)...printing done.
% 1.87/0.64 % (449596)Refutation found. Thanks to Tanya!
% 1.87/0.64 % SZS status Theorem for theBenchmark
% 1.87/0.64 % SZS output start Proof for theBenchmark
% 1.87/0.64 thf(type_def_5, type, rBT_Im1923302023_color: $tType).
% 1.87/0.64 thf(type_def_6, type, rBT_Im246033960le_rbt: ($tType * $tType) > $tType).
% 1.87/0.64 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 1.87/0.64 thf(type_def_8, type, option: $tType > $tType).
% 1.87/0.64 thf(type_def_9, type, list: $tType > $tType).
% 1.87/0.64 thf(type_def_10, type, set: $tType > $tType).
% 1.87/0.64 thf(type_def_11, type, itself: $tType > $tType).
% 1.87/0.64 thf(type_def_12, type, b: $tType).
% 1.87/0.64 thf(type_def_13, type, a: $tType).
% 1.87/0.64 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 1.87/0.64 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.87/0.64 thf(func_def_1, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.87/0.64 thf(func_def_2, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 1.87/0.64 thf(func_def_3, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_4, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 1.87/0.64 thf(func_def_5, type, distinct: !>[X0: $tType]:((list @ X0 > $o))).
% 1.87/0.64 thf(func_def_6, type, extract: !>[X0: $tType]:(((X0 > $o) > list @ X0 > option @ product_prod @ list @ X0 @ product_prod @ X0 @ list @ X0))).
% 1.87/0.64 thf(func_def_7, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_8, type, nil: !>[X0: $tType]:(list @ X0)).
% 1.87/0.64 thf(func_def_9, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 1.87/0.64 thf(func_def_10, type, listrel1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 1.87/0.64 thf(func_def_11, type, lexordp: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 1.87/0.64 thf(func_def_12, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 1.87/0.64 thf(func_def_13, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.87/0.64 thf(func_def_14, type, sublists: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 1.87/0.64 thf(func_def_15, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_16, type, dom: !>[X0: $tType, X1: $tType]:(((X0 > option @ X1) > set @ X0))).
% 1.87/0.64 thf(func_def_17, type, map_of: !>[X0: $tType, X1: $tType]:((list @ product_prod @ X0 @ X1 > X0 > option @ X1))).
% 1.87/0.64 thf(func_def_18, type, none: !>[X0: $tType]:(option @ X0)).
% 1.87/0.64 thf(func_def_19, type, some: !>[X0: $tType]:((X0 > option @ X0))).
% 1.87/0.64 thf(func_def_20, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.87/0.64 thf(func_def_21, type, strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 1.87/0.64 thf(func_def_22, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 1.87/0.64 thf(func_def_23, type, type2: !>[X0: $tType]:(itself @ X0)).
% 1.87/0.64 thf(func_def_24, type, rBT_Impl_Mirabelle_B: rBT_Im1923302023_color).
% 1.87/0.64 thf(func_def_25, type, rBT_Impl_Mirabelle_R: rBT_Im1923302023_color).
% 1.87/0.64 thf(func_def_26, type, rBT_Im1805589839lor_of: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im1923302023_color))).
% 1.87/0.64 thf(func_def_27, type, rBT_Im954575269ntries: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > list @ product_prod @ X0 @ X1))).
% 1.87/0.64 thf(func_def_28, type, rBT_Im1040612427e_inv1: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 1.87/0.64 thf(func_def_29, type, rBT_Im1040612428e_inv2: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 1.87/0.64 thf(func_def_30, type, rBT_Im380146495e_keys: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > list @ X0))).
% 1.87/0.64 thf(func_def_31, type, rBT_Im862805236is_rbt: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 1.87/0.64 thf(func_def_32, type, rBT_Im1259024060reater: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 1.87/0.64 thf(func_def_33, type, rBT_Im2075124343t_less: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > X0 > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 1.87/0.64 thf(func_def_34, type, rBT_Im35466040lookup: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > X0 > option @ X1))).
% 1.87/0.64 thf(func_def_35, type, rBT_Im759614907sorted: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > rBT_Im246033960le_rbt @ X0 @ X1 > $o))).
% 1.87/0.64 thf(func_def_36, type, rBT_Im480247531Branch: !>[X0: $tType, X1: $tType]:((rBT_Im1923302023_color > rBT_Im246033960le_rbt @ X0 @ X1 > X0 > X1 > rBT_Im246033960le_rbt @ X0 @ X1 > rBT_Im246033960le_rbt @ X0 @ X1))).
% 1.87/0.64 thf(func_def_37, type, rBT_Im418718756_Empty: !>[X0: $tType, X1: $tType]:(rBT_Im246033960le_rbt @ X0 @ X1)).
% 1.87/0.64 thf(func_def_38, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.87/0.64 thf(func_def_39, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 1.87/0.64 thf(func_def_40, type, set_greaterThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 1.87/0.64 thf(func_def_41, type, set_lessThan: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > set @ X0))).
% 1.87/0.64 thf(func_def_42, type, transitive_acyclic: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 1.87/0.64 thf(func_def_43, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.87/0.64 thf(func_def_44, type, b2: rBT_Im246033960le_rbt @ a @ b).
% 1.87/0.64 thf(func_def_45, type, c: rBT_Im246033960le_rbt @ a @ b).
% 1.87/0.64 thf(func_def_46, type, k: a).
% 1.87/0.64 thf(func_def_47, type, l: rBT_Im246033960le_rbt @ a @ b).
% 1.87/0.64 thf(func_def_48, type, less: (a > a > $o)).
% 1.87/0.64 thf(func_def_49, type, r: rBT_Im246033960le_rbt @ a @ b).
% 1.87/0.64 thf(func_def_50, type, s: b).
% 1.87/0.64 thf(func_def_51, type, t: b).
% 1.87/0.64 thf(func_def_52, type, va: rBT_Im246033960le_rbt @ a @ b).
% 1.87/0.64 thf(func_def_53, type, vb: a).
% 1.87/0.64 thf(func_def_54, type, vc: rBT_Im246033960le_rbt @ a @ b).
% 1.87/0.64 thf(func_def_55, type, vd: rBT_Im246033960le_rbt @ a @ b).
% 1.87/0.64 thf(func_def_56, type, ve: a).
% 1.87/0.64 thf(func_def_57, type, vf: rBT_Im246033960le_rbt @ a @ b).
% 1.87/0.64 thf(func_def_58, type, vg: b).
% 1.87/0.64 thf(func_def_59, type, vii: b).
% 1.87/0.64 thf(func_def_60, type, x: a).
% 1.87/0.64 thf(func_def_61, type, y: a).
% 1.87/0.64 thf(func_def_62, type, z: a).
% 1.87/0.64 thf(func_def_66, type, vOR: ($o > $o > $o)).
% 1.87/0.64 thf(func_def_67, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.87/0.64 thf(func_def_68, type, vAND: ($o > $o > $o)).
% 1.87/0.64 thf(func_def_69, type, db2: !>[X0: $tType]:(X0)).
% 1.87/0.64 thf(func_def_70, type, db1: !>[X0: $tType]:(X0)).
% 1.87/0.64 thf(func_def_71, type, db5: !>[X0: $tType]:(X0)).
% 1.87/0.64 thf(func_def_72, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.87/0.64 thf(func_def_73, type, db3: !>[X0: $tType]:(X0)).
% 1.87/0.64 thf(func_def_74, type, db0: !>[X0: $tType]:(X0)).
% 1.87/0.64 thf(func_def_75, type, db4: !>[X0: $tType]:(X0)).
% 1.87/0.64 thf(func_def_76, type, db6: !>[X0: $tType]:(X0)).
% 1.87/0.64 thf(func_def_77, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.87/0.64 thf(func_def_78, type, vNOT: ($o > $o)).
% 1.87/0.64 thf(func_def_79, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.87/0.64 thf(func_def_80, type, vIMP: ($o > $o > $o)).
% 1.87/0.64 thf(func_def_81, type, sP0: (list @ a > list @ a > $o)).
% 1.87/0.64 thf(func_def_82, type, sP1: (list @ a > list @ a > $o)).
% 1.87/0.64 thf(func_def_83, type, sP2: (list @ a > list @ a > $o)).
% 1.87/0.64 thf(func_def_84, type, sP3: (list @ a > list @ a > $o)).
% 1.87/0.64 thf(func_def_85, type, sP4: (list @ a > list @ a > $o)).
% 1.87/0.64 thf(func_def_86, type, sP5: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > $o))).
% 1.87/0.64 thf(func_def_87, type, sP6: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 1.87/0.64 thf(func_def_88, type, sK7: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.87/0.64 thf(func_def_89, type, sK8: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 1.87/0.64 thf(func_def_90, type, sK9: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.87/0.64 thf(func_def_91, type, sK10: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 1.87/0.64 thf(func_def_92, type, sK11: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_93, type, sK12: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 1.87/0.64 thf(func_def_94, type, sK13: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 1.87/0.64 thf(func_def_95, type, sK14: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 1.87/0.64 thf(func_def_96, type, sK15: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_97, type, sK16: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_98, type, sK17: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_99, type, sK18: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_100, type, sK19: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_101, type, sK20: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_102, type, sK21: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_103, type, sK22: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_104, type, sK23: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_105, type, sK24: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_106, type, sK25: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_107, type, sK26: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_108, type, sK27: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_109, type, sK28: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_110, type, sK29: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_111, type, sK30: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_112, type, sK31: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_113, type, sK32: (list @ a > list @ a)).
% 1.87/0.64 thf(func_def_114, type, sK33: (list @ a > a)).
% 1.87/0.64 thf(func_def_115, type, sK34: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_116, type, sK35: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0))).
% 1.87/0.64 thf(func_def_117, type, sK36: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > X1))).
% 1.87/0.64 thf(func_def_118, type, sK37: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_119, type, sK38: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0))).
% 1.87/0.64 thf(func_def_120, type, sK39: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > list @ X1))).
% 1.87/0.64 thf(func_def_121, type, sK40: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_122, type, sK41: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_123, type, sK42: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_124, type, sK43: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_125, type, sK44: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_126, type, sK45: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_127, type, sK46: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_128, type, sK47: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_129, type, sK48: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_130, type, sK49: !>[X0: $tType]:(((a > X0) > a))).
% 1.87/0.64 thf(func_def_131, type, sK50: !>[X0: $tType]:(((a > X0) > a))).
% 1.87/0.64 thf(func_def_132, type, sK51: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 1.87/0.64 thf(func_def_133, type, sK52: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 1.87/0.64 thf(func_def_134, type, sK53: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_135, type, sK54: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_136, type, sK55: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 1.87/0.64 thf(func_def_137, type, sK56: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 1.87/0.64 thf(func_def_138, type, sK57: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 1.87/0.64 thf(func_def_139, type, sK58: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_140, type, sK59: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_141, type, sK60: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_142, type, sK61: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_143, type, sK62: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_144, type, sK63: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_145, type, sK64: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_146, type, sK65: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_147, type, sK66: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_148, type, sK67: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_149, type, sK68: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_150, type, sK69: (list @ a > a)).
% 1.87/0.64 thf(func_def_151, type, sK70: (list @ a > list @ a)).
% 1.87/0.64 thf(func_def_152, type, sK71: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_153, type, sK72: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_154, type, sK73: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_155, type, sK74: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_156, type, sK75: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_157, type, sK76: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_158, type, sK77: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_159, type, sK78: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_160, type, sK79: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_161, type, sK80: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_162, type, sK81: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_163, type, sK82: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_164, type, sK83: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_165, type, sK84: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_166, type, sK85: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 1.87/0.64 thf(func_def_167, type, sK86: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_168, type, sK87: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_169, type, sK88: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_170, type, sK89: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_171, type, sK90: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_172, type, sK91: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_173, type, sK92: !>[X0: $tType]:((rBT_Im246033960le_rbt @ a @ X0 > a > a))).
% 1.87/0.64 thf(func_def_174, type, sK93: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_175, type, sK94: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_176, type, sK95: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_177, type, sK96: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_178, type, sK97: !>[X0: $tType]:((X0 > list @ X0 > X0))).
% 1.87/0.64 thf(func_def_179, type, sK98: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X1 > (X1 > X0) > X1))).
% 1.87/0.64 thf(func_def_180, type, sK99: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X1 > (X1 > X0) > X1))).
% 1.87/0.64 thf(func_def_181, type, sK100: !>[X0: $tType, X1: $tType]:(((X1 > list @ X0) > (X1 > list @ X0) > list @ X1 > X1))).
% 1.87/0.64 thf(func_def_182, type, sK101: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 1.87/0.64 thf(func_def_183, type, sK102: a).
% 1.87/0.64 thf(func_def_184, type, sK103: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_185, type, sK104: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_186, type, sK105: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_187, type, sK106: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 1.87/0.64 thf(func_def_188, type, sK107: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_189, type, sK108: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_190, type, sK109: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 1.87/0.64 thf(func_def_191, type, sK110: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_192, type, sK111: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_193, type, sK112: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.87/0.64 thf(func_def_194, type, sK113: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 1.87/0.64 thf(func_def_195, type, sK114: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_196, type, sK115: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_197, type, sK116: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_198, type, sK117: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 1.87/0.64 thf(func_def_199, type, sK118: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.87/0.64 thf(func_def_200, type, sK119: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 1.87/0.64 thf(func_def_201, type, sK120: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 1.87/0.64 thf(func_def_202, type, sK121: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_203, type, sK122: !>[X0: $tType]:((list @ X0 > X0))).
% 1.87/0.64 thf(func_def_204, type, sK123: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_205, type, sK124: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_206, type, sK125: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X0 @ X1 > X0 > X1))).
% 1.87/0.64 thf(func_def_207, type, sK126: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 1.87/0.64 thf(func_def_208, type, sK127: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 1.87/0.64 thf(func_def_209, type, sK128: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 1.87/0.64 thf(func_def_210, type, sK129: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 1.87/0.64 thf(func_def_211, type, sK130: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 1.87/0.64 thf(func_def_212, type, sK131: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 1.87/0.64 thf(func_def_213, type, sK132: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 1.87/0.64 thf(func_def_214, type, sK133: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 1.87/0.64 thf(func_def_215, type, sK134: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_216, type, sK135: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_217, type, sK136: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_218, type, sK137: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 1.87/0.64 thf(func_def_219, type, sK138: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_220, type, sK139: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.87/0.64 thf(func_def_221, type, sK140: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.87/0.64 thf(func_def_222, type, sK141: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_223, type, sK142: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_224, type, sK143: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_225, type, sK144: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_226, type, sK145: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_227, type, sK146: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_228, type, sK147: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_229, type, sK148: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_230, type, sK149: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_231, type, sK150: !>[X0: $tType]:((rBT_Im246033960le_rbt @ a @ X0 > a > rBT_Im246033960le_rbt @ a @ X0 > X0))).
% 1.87/0.64 thf(func_def_232, type, sK151: !>[X0: $tType]:((list @ X0 > X0))).
% 1.87/0.64 thf(func_def_233, type, sK152: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_234, type, sK153: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X0))).
% 1.87/0.64 thf(func_def_235, type, sK154: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > X1))).
% 1.87/0.64 thf(func_def_236, type, sK155: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im1923302023_color))).
% 1.87/0.64 thf(func_def_237, type, sK156: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 1.87/0.64 thf(func_def_238, type, sK157: !>[X0: $tType, X1: $tType]:((rBT_Im246033960le_rbt @ X1 @ X0 > rBT_Im246033960le_rbt @ X1 @ X0))).
% 1.87/0.64 thf(func_def_239, type, sK158: !>[X0: $tType]:((list @ X0 > X0))).
% 1.87/0.64 thf(func_def_240, type, sK159: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_241, type, sK160: !>[X0: $tType]:(((X0 > a) > set @ product_prod @ X0 @ X0 > X0))).
% 1.87/0.64 thf(func_def_242, type, sK161: !>[X0: $tType]:(((X0 > a) > set @ product_prod @ X0 @ X0 > X0))).
% 1.87/0.64 thf(func_def_243, type, sK162: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_244, type, sK163: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_245, type, sK164: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_246, type, sK165: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_247, type, sK166: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_248, type, sK167: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_249, type, sK168: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_250, type, sK169: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_251, type, sK170: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_252, type, sK171: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_253, type, sK172: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_254, type, sK173: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_255, type, sK174: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_256, type, sK175: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.87/0.64 thf(func_def_257, type, sK176: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_258, type, sK177: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 1.87/0.64 thf(func_def_259, type, sK178: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_260, type, sK179: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_261, type, sK180: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_262, type, sK181: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_263, type, sK182: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_264, type, sK183: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_265, type, sK184: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_266, type, sK185: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_267, type, sK186: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_268, type, sK187: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_269, type, sK188: a).
% 1.87/0.64 thf(func_def_270, type, sK189: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_271, type, sK190: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 1.87/0.64 thf(func_def_272, type, sK191: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > X1))).
% 1.87/0.64 thf(func_def_273, type, sK192: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im246033960le_rbt @ X1 @ X0))).
% 1.87/0.64 thf(func_def_274, type, sK193: !>[X0: $tType, X1: $tType]:(((rBT_Im246033960le_rbt @ X1 @ X0 > $o) > rBT_Im1923302023_color))).
% 1.87/0.64 thf(func_def_275, type, sK194: !>[X0: $tType]:(((a > X0) > a))).
% 1.87/0.64 thf(func_def_276, type, sK195: !>[X0: $tType]:(((a > X0) > a))).
% 1.87/0.64 thf(func_def_277, type, sK196: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_278, type, sK197: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_279, type, sK198: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_280, type, sK199: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_281, type, sK200: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_282, type, sK201: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_283, type, sK202: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_284, type, sK203: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_285, type, sK204: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_286, type, sK205: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_287, type, sK206: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_288, type, sK207: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_289, type, sK208: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_290, type, sK209: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_291, type, sK210: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_292, type, sK211: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_293, type, sK212: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_294, type, sK213: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_295, type, sK214: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_296, type, sK215: (list @ a > list @ a)).
% 1.87/0.64 thf(func_def_297, type, sK216: !>[X0: $tType]:((list @ X0 > list @ X0 > X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_298, type, sK217: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 1.87/0.64 thf(func_def_299, type, sK218: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_300, type, sK219: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > X0))).
% 1.87/0.64 thf(func_def_301, type, sK220: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_302, type, sK221: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_303, type, sK222: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 1.87/0.64 thf(func_def_304, type, sK223: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > X0))).
% 1.87/0.64 thf(func_def_305, type, sK224: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_306, type, sK225: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_307, type, sK226: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_308, type, sK227: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_309, type, sK228: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_310, type, sK229: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_311, type, sK230: !>[X0: $tType]:((list @ X0 > (X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_312, type, sK231: !>[X0: $tType]:((list @ X0 > (X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_313, type, sK232: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_314, type, sK233: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_315, type, sK234: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_316, type, sK235: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_317, type, sK236: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_318, type, sK237: (list @ a > list @ a > a)).
% 1.87/0.64 thf(func_def_319, type, sK238: (list @ a > list @ a > list @ a)).
% 1.87/0.64 thf(func_def_320, type, sK239: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_321, type, sK240: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_322, type, sK241: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_323, type, sK242: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_324, type, sK243: !>[X0: $tType]:((list @ X0 > X0))).
% 1.87/0.64 thf(func_def_325, type, sK244: !>[X0: $tType]:((rBT_Im246033960le_rbt @ a @ X0 > a > a))).
% 1.87/0.64 thf(func_def_326, type, sK245: !>[X0: $tType]:((list @ X0 > X0))).
% 1.87/0.64 thf(func_def_327, type, sK246: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_328, type, sK247: !>[X0: $tType]:((list @ X0 > X0))).
% 1.87/0.64 thf(func_def_329, type, sK248: !>[X0: $tType]:((list @ X0 > X0))).
% 1.87/0.64 thf(func_def_330, type, sK249: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_331, type, sK250: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_332, type, sK251: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_333, type, sK252: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_334, type, sK253: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_335, type, sK254: !>[X0: $tType]:((list @ X0 > X0))).
% 1.87/0.64 thf(func_def_336, type, sK255: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_337, type, sK256: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_338, type, sK257: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_339, type, sK258: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 1.87/0.64 thf(func_def_340, type, sK259: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_341, type, sK260: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_342, type, sK261: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 1.87/0.64 thf(func_def_343, type, sK262: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_344, type, sK263: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_345, type, sK264: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_346, type, sK265: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.87/0.64 thf(func_def_347, type, sK266: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_348, type, sK267: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_349, type, sK268: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_350, type, sK269: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_351, type, sK270: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_352, type, sK271: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_353, type, sK272: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_354, type, sK273: ((list @ a > list @ a > $o) > a)).
% 1.87/0.64 thf(func_def_355, type, sK274: ((list @ a > list @ a > $o) > list @ a)).
% 1.87/0.64 thf(func_def_356, type, sK275: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_357, type, sK276: !>[X0: $tType]:(((X0 > $o) > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_358, type, sK277: !>[X0: $tType]:(((X0 > $o) > list @ X0 > X0))).
% 1.87/0.64 thf(func_def_359, type, sK278: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 1.87/0.64 thf(func_def_360, type, sK279: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 1.87/0.64 thf(func_def_361, type, sK280: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_362, type, sK281: !>[X0: $tType]:((list @ X0 > X0))).
% 1.87/0.64 thf(func_def_364, type, inv_append_283: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(func_def_365, type, inv_append_284: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.87/0.64 thf(f37,axiom,(
% 1.87/0.64 ! [X0 : $tType,X2 : rBT_Im1923302023_color,X6 : rBT_Im246033960le_rbt @ a @ X0,X4 : a,X5 : X0,X1 : a,X3 : rBT_Im246033960le_rbt @ a @ X0] : (((rBT_Im2075124343t_less @ a @ X0 @ less @ X1 @ (rBT_Im480247531Branch @ a @ X0 @ X2 @ X3 @ X4 @ X5 @ X6))) = (rBT_Im2075124343t_less @ a @ X0 @ less @ X1 @ X3) & (rBT_Im2075124343t_less @ a @ X0 @ less @ X1 @ X6) & (less @ X4 @ X1))),
% 1.87/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_local_Orbt__less__simps_I2_J)).
% 1.87/0.64 thf(f42,axiom,(
% 1.87/0.64 (rBT_Im759614907sorted @ a @ b @ less @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ b2 @ y @ s @ c) @ z @ t @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf)))),
% 1.87/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41__C5__4_Oprems_C_I2_J)).
% 1.87/0.64 thf(f43,axiom,(
% 1.87/0.64 ! [X0 : $tType,X1 : $tType,X3 : rBT_Im1923302023_color,X4 : rBT_Im246033960le_rbt @ X1 @ X0,X6 : X0,X2 : (X1 > X1 > $o),X5 : X1,X7 : rBT_Im246033960le_rbt @ X1 @ X0] : (((rBT_Im759614907sorted @ X1 @ X0 @ X2 @ (rBT_Im480247531Branch @ X1 @ X0 @ X3 @ X4 @ X5 @ X6 @ X7))) = (rBT_Im759614907sorted @ X1 @ X0 @ X2 @ X4) & (rBT_Im1259024060reater @ X1 @ X0 @ X2 @ X5 @ X7) & (rBT_Im2075124343t_less @ X1 @ X0 @ X2 @ X5 @ X4) & (rBT_Im759614907sorted @ X1 @ X0 @ X2 @ X7))),
% 1.87/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_ord_Orbt__sorted_Osimps_I2_J)).
% 1.87/0.64 thf(f259,conjecture,(
% 1.87/0.64 (less @ y @ z) & (rBT_Im1259024060reater @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf))),
% 1.87/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.87/0.64 thf(f260,negated_conjecture,(
% 1.87/0.64 ~((less @ y @ z) & (rBT_Im1259024060reater @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf)))),
% 1.87/0.64 inference(negated_conjecture,[status(cth)],[f259])).
% 1.87/0.64 thf(f312,plain,(
% 1.87/0.64 ! [X0 : $tType,X1 : $tType,X2 : rBT_Im1923302023_color,X3 : rBT_Im246033960le_rbt @ X1 @ X0,X4 : X0,X5 : (X1 > X1 > $o),X6 : X1,X7 : rBT_Im246033960le_rbt @ X1 @ X0] : (((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ (rBT_Im480247531Branch @ X1 @ X0 @ X2 @ X3 @ X6 @ X4 @ X7))) = (rBT_Im759614907sorted @ X1 @ X0 @ X5 @ X3) & (rBT_Im1259024060reater @ X1 @ X0 @ X5 @ X6 @ X7) & (rBT_Im2075124343t_less @ X1 @ X0 @ X5 @ X6 @ X3) & (rBT_Im759614907sorted @ X1 @ X0 @ X5 @ X7))),
% 1.87/0.64 inference(rectify,[],[f43])).
% 1.87/0.64 thf(f313,plain,(
% 1.87/0.64 ! [X1 : $tType,X0 : $tType,X5 : (X1 > X1 > $o),X6 : X1,X7 : rBT_Im246033960le_rbt @ X1 @ X0,X2 : rBT_Im1923302023_color,X4 : X0,X3 : rBT_Im246033960le_rbt @ X1 @ X0] : ((((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ (rBT_Im480247531Branch @ X1 @ X0 @ X2 @ X3 @ X6 @ X4 @ X7))) = $true) <=> (($true = ((rBT_Im2075124343t_less @ X1 @ X0 @ X5 @ X6 @ X3))) & ($true = ((rBT_Im1259024060reater @ X1 @ X0 @ X5 @ X6 @ X7))) & ($true = ((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ X7))) & ($true = ((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ X3)))))),
% 1.87/0.64 inference(fool_elimination,[],[f312])).
% 1.87/0.64 thf(f412,plain,(
% 1.87/0.64 ! [X0 : $tType,X1 : rBT_Im1923302023_color,X2 : rBT_Im246033960le_rbt @ a @ X0,X3 : a,X4 : X0,X5 : a,X6 : rBT_Im246033960le_rbt @ a @ X0] : (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ (rBT_Im480247531Branch @ a @ X0 @ X1 @ X6 @ X3 @ X4 @ X2))) = (rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X6) & (rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X2) & (less @ X3 @ X5))),
% 1.87/0.64 inference(rectify,[],[f37])).
% 1.87/0.64 thf(f413,plain,(
% 1.87/0.64 ! [X0 : $tType,X6 : rBT_Im246033960le_rbt @ a @ X0,X2 : rBT_Im246033960le_rbt @ a @ X0,X3 : a,X1 : rBT_Im1923302023_color,X5 : a,X4 : X0] : ((((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ (rBT_Im480247531Branch @ a @ X0 @ X1 @ X6 @ X3 @ X4 @ X2))) = $true) <=> ((((less @ X3 @ X5)) = $true) & (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X2)) = $true) & (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X6)) = $true)))),
% 1.87/0.64 inference(fool_elimination,[],[f412])).
% 1.87/0.64 thf(f446,plain,(
% 1.87/0.64 ~((less @ y @ z) & (rBT_Im1259024060reater @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf)))),
% 1.87/0.64 inference(rectify,[],[f260])).
% 1.87/0.64 thf(f447,plain,(
% 1.87/0.64 ~((((rBT_Im1259024060reater @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf))) = $true) & (((less @ y @ z)) = $true))),
% 1.87/0.64 inference(fool_elimination,[],[f446])).
% 1.87/0.64 thf(f448,plain,(
% 1.87/0.64 (rBT_Im759614907sorted @ a @ b @ less @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ b2 @ y @ s @ c) @ z @ t @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf)))),
% 1.87/0.64 inference(rectify,[],[f42])).
% 1.87/0.64 thf(f449,plain,(
% 1.87/0.64 (((rBT_Im759614907sorted @ a @ b @ less @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ b2 @ y @ s @ c) @ z @ t @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf)))) = $true)),
% 1.87/0.64 inference(fool_elimination,[],[f448])).
% 1.87/0.64 thf(f945,plain,(
% 1.87/0.64 (((less @ y @ z)) != $true) | (((rBT_Im1259024060reater @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf))) != $true)),
% 1.87/0.64 inference(ennf_transformation,[],[f447])).
% 1.87/0.64 thf(f1084,plain,(
% 1.87/0.64 ! [X1 : $tType,X0 : $tType,X5 : (X1 > X1 > $o),X6 : X1,X7 : rBT_Im246033960le_rbt @ X1 @ X0,X2 : rBT_Im1923302023_color,X4 : X0,X3 : rBT_Im246033960le_rbt @ X1 @ X0] : (((((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ (rBT_Im480247531Branch @ X1 @ X0 @ X2 @ X3 @ X6 @ X4 @ X7))) = $true) | (($true != ((rBT_Im2075124343t_less @ X1 @ X0 @ X5 @ X6 @ X3))) | ($true != ((rBT_Im1259024060reater @ X1 @ X0 @ X5 @ X6 @ X7))) | ($true != ((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ X7))) | ($true != ((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ X3))))) & ((($true = ((rBT_Im2075124343t_less @ X1 @ X0 @ X5 @ X6 @ X3))) & ($true = ((rBT_Im1259024060reater @ X1 @ X0 @ X5 @ X6 @ X7))) & ($true = ((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ X7))) & ($true = ((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ X3)))) | (((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ (rBT_Im480247531Branch @ X1 @ X0 @ X2 @ X3 @ X6 @ X4 @ X7))) != $true)))),
% 1.87/0.64 inference(nnf_transformation,[],[f313])).
% 1.87/0.64 thf(f1085,plain,(
% 1.87/0.64 ! [X1 : $tType,X0 : $tType,X5 : (X1 > X1 > $o),X6 : X1,X7 : rBT_Im246033960le_rbt @ X1 @ X0,X2 : rBT_Im1923302023_color,X4 : X0,X3 : rBT_Im246033960le_rbt @ X1 @ X0] : (((((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ (rBT_Im480247531Branch @ X1 @ X0 @ X2 @ X3 @ X6 @ X4 @ X7))) = $true) | ($true != ((rBT_Im2075124343t_less @ X1 @ X0 @ X5 @ X6 @ X3))) | ($true != ((rBT_Im1259024060reater @ X1 @ X0 @ X5 @ X6 @ X7))) | ($true != ((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ X7))) | ($true != ((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ X3)))) & ((($true = ((rBT_Im2075124343t_less @ X1 @ X0 @ X5 @ X6 @ X3))) & ($true = ((rBT_Im1259024060reater @ X1 @ X0 @ X5 @ X6 @ X7))) & ($true = ((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ X7))) & ($true = ((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ X3)))) | (((rBT_Im759614907sorted @ X1 @ X0 @ X5 @ (rBT_Im480247531Branch @ X1 @ X0 @ X2 @ X3 @ X6 @ X4 @ X7))) != $true)))),
% 1.87/0.64 inference(flattening,[],[f1084])).
% 1.87/0.64 thf(f1086,plain,(
% 1.87/0.64 ! [X0 : $tType,X1 : $tType,X2 : (X0 > X0 > $o),X3 : X0,X4 : rBT_Im246033960le_rbt @ X0 @ X1,X5 : rBT_Im1923302023_color,X6 : X1,X7 : rBT_Im246033960le_rbt @ X0 @ X1] : ((($true = ((rBT_Im759614907sorted @ X0 @ X1 @ X2 @ (rBT_Im480247531Branch @ X0 @ X1 @ X5 @ X7 @ X3 @ X6 @ X4)))) | (((rBT_Im2075124343t_less @ X0 @ X1 @ X2 @ X3 @ X7)) != $true) | (((rBT_Im1259024060reater @ X0 @ X1 @ X2 @ X3 @ X4)) != $true) | (((rBT_Im759614907sorted @ X0 @ X1 @ X2 @ X4)) != $true) | (((rBT_Im759614907sorted @ X0 @ X1 @ X2 @ X7)) != $true)) & (((((rBT_Im2075124343t_less @ X0 @ X1 @ X2 @ X3 @ X7)) = $true) & (((rBT_Im1259024060reater @ X0 @ X1 @ X2 @ X3 @ X4)) = $true) & (((rBT_Im759614907sorted @ X0 @ X1 @ X2 @ X4)) = $true) & (((rBT_Im759614907sorted @ X0 @ X1 @ X2 @ X7)) = $true)) | ($true != ((rBT_Im759614907sorted @ X0 @ X1 @ X2 @ (rBT_Im480247531Branch @ X0 @ X1 @ X5 @ X7 @ X3 @ X6 @ X4))))))),
% 1.87/0.64 inference(rectify,[],[f1085])).
% 1.87/0.64 thf(f1102,plain,(
% 1.87/0.64 ! [X0 : $tType,X6 : rBT_Im246033960le_rbt @ a @ X0,X2 : rBT_Im246033960le_rbt @ a @ X0,X3 : a,X1 : rBT_Im1923302023_color,X5 : a,X4 : X0] : (((((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ (rBT_Im480247531Branch @ a @ X0 @ X1 @ X6 @ X3 @ X4 @ X2))) = $true) | ((((less @ X3 @ X5)) != $true) | (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X2)) != $true) | (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X6)) != $true))) & (((((less @ X3 @ X5)) = $true) & (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X2)) = $true) & (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X6)) = $true)) | (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ (rBT_Im480247531Branch @ a @ X0 @ X1 @ X6 @ X3 @ X4 @ X2))) != $true)))),
% 1.87/0.64 inference(nnf_transformation,[],[f413])).
% 1.87/0.64 thf(f1103,plain,(
% 1.87/0.64 ! [X0 : $tType,X6 : rBT_Im246033960le_rbt @ a @ X0,X2 : rBT_Im246033960le_rbt @ a @ X0,X3 : a,X1 : rBT_Im1923302023_color,X5 : a,X4 : X0] : (((((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ (rBT_Im480247531Branch @ a @ X0 @ X1 @ X6 @ X3 @ X4 @ X2))) = $true) | (((less @ X3 @ X5)) != $true) | (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X2)) != $true) | (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X6)) != $true)) & (((((less @ X3 @ X5)) = $true) & (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X2)) = $true) & (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X6)) = $true)) | (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ (rBT_Im480247531Branch @ a @ X0 @ X1 @ X6 @ X3 @ X4 @ X2))) != $true)))),
% 1.87/0.64 inference(flattening,[],[f1102])).
% 1.87/0.64 thf(f1104,plain,(
% 1.87/0.64 ! [X0 : $tType,X1 : rBT_Im246033960le_rbt @ a @ X0,X2 : rBT_Im246033960le_rbt @ a @ X0,X3 : a,X4 : rBT_Im1923302023_color,X5 : a,X6 : X0] : (((((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ (rBT_Im480247531Branch @ a @ X0 @ X4 @ X1 @ X3 @ X6 @ X2))) = $true) | (((less @ X3 @ X5)) != $true) | (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X2)) != $true) | (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X1)) != $true)) & (((((less @ X3 @ X5)) = $true) & (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X2)) = $true) & (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ X1)) = $true)) | (((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ (rBT_Im480247531Branch @ a @ X0 @ X4 @ X1 @ X3 @ X6 @ X2))) != $true)))),
% 1.87/0.64 inference(rectify,[],[f1103])).
% 1.87/0.64 thf(f1454,plain,(
% 1.87/0.64 (((rBT_Im759614907sorted @ a @ b @ less @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ b2 @ y @ s @ c) @ z @ t @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf)))) = $true)),
% 1.87/0.64 inference(cnf_transformation,[],[f449])).
% 1.87/0.64 thf(f1497,plain,(
% 1.87/0.64 ( ! [X1 : $tType,X0 : $tType,X2 : (X0 > X0 > $o),X3 : X0,X6 : X1,X7 : rBT_Im246033960le_rbt @ X0 @ X1,X4 : rBT_Im246033960le_rbt @ X0 @ X1,X5 : rBT_Im1923302023_color] : (($true != ((rBT_Im759614907sorted @ X0 @ X1 @ X2 @ (rBT_Im480247531Branch @ X0 @ X1 @ X5 @ X7 @ X3 @ X6 @ X4)))) | (((rBT_Im1259024060reater @ X0 @ X1 @ X2 @ X3 @ X4)) = $true)) )),
% 1.87/0.64 inference(cnf_transformation,[],[f1086])).
% 1.87/0.64 thf(f1498,plain,(
% 1.87/0.64 ( ! [X1 : $tType,X0 : $tType,X2 : (X0 > X0 > $o),X3 : X0,X6 : X1,X7 : rBT_Im246033960le_rbt @ X0 @ X1,X4 : rBT_Im246033960le_rbt @ X0 @ X1,X5 : rBT_Im1923302023_color] : (($true != ((rBT_Im759614907sorted @ X0 @ X1 @ X2 @ (rBT_Im480247531Branch @ X0 @ X1 @ X5 @ X7 @ X3 @ X6 @ X4)))) | (((rBT_Im2075124343t_less @ X0 @ X1 @ X2 @ X3 @ X7)) = $true)) )),
% 1.87/0.64 inference(cnf_transformation,[],[f1086])).
% 1.87/0.64 thf(f1525,plain,(
% 1.87/0.64 ( ! [X0 : $tType,X2 : rBT_Im246033960le_rbt @ a @ X0,X3 : a,X1 : rBT_Im246033960le_rbt @ a @ X0,X6 : X0,X4 : rBT_Im1923302023_color,X5 : a] : ((((rBT_Im2075124343t_less @ a @ X0 @ less @ X5 @ (rBT_Im480247531Branch @ a @ X0 @ X4 @ X1 @ X3 @ X6 @ X2))) != $true) | (((less @ X3 @ X5)) = $true)) )),
% 1.87/0.64 inference(cnf_transformation,[],[f1104])).
% 1.87/0.64 thf(f1815,plain,(
% 1.87/0.64 (((rBT_Im1259024060reater @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf))) != $true) | (((less @ y @ z)) != $true)),
% 1.87/0.64 inference(cnf_transformation,[],[f945])).
% 1.87/0.64 thf(f1984,definition,(
% 1.87/0.64 spl282_6 <=> (((rBT_Im759614907sorted @ a @ b @ less @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ b2 @ y @ s @ c) @ z @ t @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf)))) = $true)),
% 1.87/0.64 introduced(definition,[new_symbols(definition,[spl282_6])],[avatar_definition])).
% 1.87/0.64 thf(f1986,plain,(
% 1.87/0.64 (((rBT_Im759614907sorted @ a @ b @ less @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ b2 @ y @ s @ c) @ z @ t @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf)))) = $true) | ~spl282_6),
% 1.87/0.64 inference(avatar_component_clause,[],[f1984])).
% 1.87/0.64 thf(f1987,plain,(
% 1.87/0.64 spl282_6),
% 1.87/0.64 inference(avatar_split_clause,[],[f1454,f1984])).
% 1.87/0.64 thf(f1989,definition,(
% 1.87/0.64 spl282_7 <=> (((less @ y @ z)) = $true)),
% 1.87/0.64 introduced(definition,[new_symbols(definition,[spl282_7])],[avatar_definition])).
% 1.87/0.64 thf(f1991,plain,(
% 1.87/0.64 (((less @ y @ z)) != $true) | spl282_7),
% 1.87/0.64 inference(avatar_component_clause,[],[f1989])).
% 1.87/0.64 thf(f1993,definition,(
% 1.87/0.64 spl282_8 <=> (((rBT_Im1259024060reater @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf))) = $true)),
% 1.87/0.64 introduced(definition,[new_symbols(definition,[spl282_8])],[avatar_definition])).
% 1.87/0.64 thf(f1996,plain,(
% 1.87/0.64 ~spl282_7 | ~spl282_8),
% 1.87/0.64 inference(avatar_split_clause,[],[f1815,f1993,f1989])).
% 1.87/0.64 thf(f2515,plain,(
% 1.87/0.64 ($true != $true) | (((rBT_Im2075124343t_less @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ b2 @ y @ s @ c))) = $true) | ~spl282_6),
% 1.87/0.64 inference(superposition,[],[f1498,f1986])).
% 1.87/0.64 thf(f2516,plain,(
% 1.87/0.64 ($true != $true) | (((rBT_Im1259024060reater @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf))) = $true) | ~spl282_6),
% 1.87/0.64 inference(superposition,[],[f1497,f1986])).
% 1.87/0.64 thf(f2519,plain,(
% 1.87/0.64 (((rBT_Im1259024060reater @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_B @ vd @ ve @ vii @ vf))) = $true) | ~spl282_6),
% 1.87/0.64 inference(trivial_inequality_removal,[],[f2516])).
% 1.87/0.64 thf(f2521,plain,(
% 1.87/0.64 (((rBT_Im2075124343t_less @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ b2 @ y @ s @ c))) = $true) | ~spl282_6),
% 1.87/0.64 inference(trivial_inequality_removal,[],[f2515])).
% 1.87/0.64 thf(f2531,definition,(
% 1.87/0.64 spl282_46 <=> (((rBT_Im2075124343t_less @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ b2 @ y @ s @ c))) = $true)),
% 1.87/0.64 introduced(definition,[new_symbols(definition,[spl282_46])],[avatar_definition])).
% 1.87/0.64 thf(f2533,plain,(
% 1.87/0.64 (((rBT_Im2075124343t_less @ a @ b @ less @ z @ (rBT_Im480247531Branch @ a @ b @ rBT_Impl_Mirabelle_R @ b2 @ y @ s @ c))) = $true) | ~spl282_46),
% 1.87/0.64 inference(avatar_component_clause,[],[f2531])).
% 1.87/0.64 thf(f2534,plain,(
% 1.87/0.64 spl282_46 | ~spl282_6),
% 1.87/0.64 inference(avatar_split_clause,[],[f2521,f1984,f2531])).
% 1.87/0.64 thf(f2540,plain,(
% 1.87/0.64 spl282_8 | ~spl282_6),
% 1.87/0.64 inference(avatar_split_clause,[],[f2519,f1984,f1993])).
% 1.87/0.64 thf(f3778,plain,(
% 1.87/0.64 (((less @ y @ z)) = $true) | ($true != $true) | ~spl282_46),
% 1.87/0.64 inference(superposition,[],[f1525,f2533])).
% 1.87/0.64 thf(f3784,plain,(
% 1.87/0.64 (((less @ y @ z)) = $true) | ~spl282_46),
% 1.87/0.64 inference(trivial_inequality_removal,[],[f3778])).
% 1.87/0.64 thf(f3793,plain,(
% 1.87/0.64 $false | (spl282_7 | ~spl282_46)),
% 1.87/0.64 inference(forward_subsumption_resolution,[],[f3784,f1991])).
% 1.87/0.64 thf(f3794,plain,(
% 1.87/0.64 spl282_7 | ~spl282_46),
% 1.87/0.64 inference(avatar_contradiction_clause,[],[f3793])).
% 1.87/0.64 cnf(s6, plain, spl282_6, inference(sat_conversion,[],[f1987])).
% 1.87/0.64 cnf(s7, plain, ~spl282_7 | ~spl282_8, inference(sat_conversion,[],[f1996])).
% 1.87/0.64 cnf(s53, plain, ~spl282_6 | spl282_46, inference(sat_conversion,[],[f2534])).
% 1.87/0.64 cnf(s55, plain, ~spl282_6 | spl282_8, inference(sat_conversion,[],[f2540])).
% 1.87/0.64 cnf(s126, plain, spl282_7 | ~spl282_46, inference(sat_conversion,[],[f3794])).
% 1.87/0.64 cnf(s150, plain, spl282_8, inference(rat,[],[s55,s6])).
% 1.87/0.64 cnf(s152, plain, spl282_46, inference(rat,[],[s53,s6])).
% 1.87/0.64 cnf(s158, plain, ~spl282_7, inference(rat,[],[s7,s150])).
% 1.87/0.64 cnf(s167, plain, $false, inference(rat,[],[s126,s152,s158])).
% 1.87/0.64 thf(f3808,plain,(
% 1.87/0.64 $false),
% 1.87/0.64 inference(avatar_sat_refutation,[],[s167])).
% 1.87/0.64 % SZS output end Proof for theBenchmark
% 1.87/0.64 % (449596)------------------------------
% 1.87/0.64 % (449596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.64 % (449596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.64 % (449596)CaDiCaL version: 2.1.3
% 1.87/0.64 % (449596)Termination reason: Refutation
% 1.87/0.64 % (449596)Time elapsed: 0.253 s
% 1.87/0.64 % (449596)Peak memory usage: 16 MB
% 1.87/0.64 % (449596)Instructions burned: 460 (million)
% 1.87/0.64 % (449578)Success in time 0.298 s
% 1.87/0.64 % Vampire exiting
%------------------------------------------------------------------------------