%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT219^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 07:48:34 AM UTC 2026
% Result : Theorem 0.63s 0.48s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT219^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n018.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 18:12:42 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.21/0.27 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
% 0.63/0.42 % (446458)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.42 % (446468)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2512621130:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.42 % (446469)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.42 % (446469)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
% 0.63/0.42 % (446464)lrs+10_16_si=on:nwc=1.5:random_seed=3060650109:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.42 % (446463)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3000108046:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.42 % (446466)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=1865838692: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)
% 0.63/0.42 % (446465)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=723672624:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.42 % (446467)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3925630176:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.42 % (446469)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=3997394139:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.42 % (446465)Instruction limit reached!
% 0.63/0.42 % (446465)------------------------------
% 0.63/0.42 % (446465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (446465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (446465)CaDiCaL version: 2.1.3
% 0.63/0.42 % (446465)Termination reason: Instruction limit
% 0.63/0.42 % (446465)Termination phase: shuffling
% 0.63/0.42 % (446465)Time elapsed: 0.003 s
% 0.63/0.42 % (446465)Peak memory usage: 10 MB
% 0.63/0.42 % (446465)Instructions burned: 5 (million)
% 0.63/0.42 % (446464)Instruction limit reached!
% 0.63/0.42 % (446464)------------------------------
% 0.63/0.42 % (446464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (446464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (446464)CaDiCaL version: 2.1.3
% 0.63/0.42 % (446464)Termination reason: Instruction limit
% 0.63/0.42 % (446464)Termination phase: shuffling
% 0.63/0.42 % (446464)Time elapsed: 0.009 s
% 0.63/0.42 % (446464)Peak memory usage: 10 MB
% 0.63/0.42 % (446464)Instructions burned: 19 (million)
% 0.63/0.42 % (446467)Instruction limit reached!
% 0.63/0.42 % (446467)------------------------------
% 0.63/0.42 % (446467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (446467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (446467)CaDiCaL version: 2.1.3
% 0.63/0.42 % (446467)Termination reason: Instruction limit
% 0.63/0.42 % (446467)Termination phase: Property scanning
% 0.63/0.42 % (446467)Time elapsed: 0.012 s
% 0.63/0.42 % (446467)Peak memory usage: 10 MB
% 0.63/0.42 % (446467)Instructions burned: 25 (million)
% 0.63/0.42 % (446468)Instruction limit reached!
% 0.63/0.42 % (446468)------------------------------
% 0.63/0.42 % (446468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (446468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (446468)CaDiCaL version: 2.1.3
% 0.63/0.42 % (446468)Termination reason: Instruction limit
% 0.63/0.42 % (446468)Termination phase: Property scanning
% 0.63/0.42 % (446468)Time elapsed: 0.021 s
% 0.63/0.42 % (446468)Peak memory usage: 12 MB
% 0.63/0.42 % (446468)Instructions burned: 76 (million)
% 0.63/0.42 % (446477)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3761255817:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.42 % (446480)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3964884136:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.42 % (446477)Instruction limit reached!
% 0.63/0.46 % (446477)------------------------------
% 0.63/0.46 % (446477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (446477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (446477)CaDiCaL version: 2.1.3
% 0.63/0.46 % (446477)Termination reason: Instruction limit
% 0.63/0.46 % (446477)Termination phase: shuffling
% 0.63/0.46 % (446477)Time elapsed: 0.003 s
% 0.63/0.46 % (446477)Peak memory usage: 10 MB
% 0.63/0.46 % (446477)Instructions burned: 5 (million)
% 0.63/0.46 % (446480)Instruction limit reached!
% 0.63/0.46 % (446480)------------------------------
% 0.63/0.46 % (446480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (446480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (446480)CaDiCaL version: 2.1.3
% 0.63/0.46 % (446480)Termination reason: Instruction limit
% 0.63/0.46 % (446480)Termination phase: shuffling
% 0.63/0.46 % (446480)Time elapsed: 0.003 s
% 0.63/0.46 % (446480)Peak memory usage: 10 MB
% 0.63/0.46 % (446480)Instructions burned: 13 (million)
% 0.63/0.46 % (446479)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.46 % (446478)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=630783158:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.46 % (446479)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1944270364:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.46 % (446478)Instruction limit reached!
% 0.63/0.46 % (446478)------------------------------
% 0.63/0.46 % (446478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (446478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (446478)CaDiCaL version: 2.1.3
% 0.63/0.46 % (446478)Termination reason: Instruction limit
% 0.63/0.46 % (446478)Termination phase: shuffling
% 0.63/0.46 % (446478)Time elapsed: 0.003 s
% 0.63/0.46 % (446478)Peak memory usage: 10 MB
% 0.63/0.46 % (446478)Instructions burned: 6 (million)
% 0.63/0.46 % (446479)Instruction limit reached!
% 0.63/0.46 % (446479)------------------------------
% 0.63/0.46 % (446479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (446479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (446479)CaDiCaL version: 2.1.3
% 0.63/0.46 % (446479)Termination reason: Instruction limit
% 0.63/0.46 % (446479)Termination phase: shuffling
% 0.63/0.46 % (446479)Time elapsed: 0.004 s
% 0.63/0.46 % (446479)Peak memory usage: 10 MB
% 0.63/0.46 % (446479)Instructions burned: 8 (million)
% 0.63/0.46 % (446483)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
% 0.63/0.46 % (446483)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.46 % (446483)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3643453622:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.46 % (446463)Instruction limit reached!
% 0.63/0.46 % (446463)------------------------------
% 0.63/0.46 % (446463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (446463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (446463)CaDiCaL version: 2.1.3
% 0.63/0.46 % (446463)Termination reason: Instruction limit
% 0.63/0.46 % (446463)Termination phase: Property scanning
% 0.63/0.46 % (446463)Time elapsed: 0.047 s
% 0.63/0.46 % (446463)Peak memory usage: 12 MB
% 0.63/0.46 % (446463)Instructions burned: 101 (million)
% 0.63/0.46 % (446487)lrs+10_1_si=on:cs=on:random_seed=3654803084:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.46 % (446488)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.46 % (446488)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=3640426901:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.48 % (446487)Instruction limit reached!
% 0.63/0.48 % (446487)------------------------------
% 0.63/0.48 % (446487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446487)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446487)Termination reason: Instruction limit
% 0.63/0.48 % (446487)Termination phase: shuffling
% 0.63/0.48 % (446487)Time elapsed: 0.004 s
% 0.63/0.48 % (446487)Peak memory usage: 10 MB
% 0.63/0.48 % (446487)Instructions burned: 8 (million)
% 0.63/0.48 % (446490)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=834647414:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.63/0.48 % (446488)Instruction limit reached!
% 0.63/0.48 % (446488)------------------------------
% 0.63/0.48 % (446488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446488)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446488)Termination reason: Instruction limit
% 0.63/0.48 % (446488)Termination phase: shuffling
% 0.63/0.48 % (446488)Time elapsed: 0.002 s
% 0.63/0.48 % (446488)Peak memory usage: 10 MB
% 0.63/0.48 % (446488)Instructions burned: 3 (million)
% 0.63/0.48 % (446484)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=3663442350:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.48 % (446483)Instruction limit reached!
% 0.63/0.48 % (446483)------------------------------
% 0.63/0.48 % (446483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446483)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446483)Termination reason: Instruction limit
% 0.63/0.48 % (446483)Termination phase: shuffling
% 0.63/0.48 % (446483)Time elapsed: 0.014 s
% 0.63/0.48 % (446483)Peak memory usage: 11 MB
% 0.63/0.48 % (446483)Instructions burned: 30 (million)
% 0.63/0.48 % (446490)Instruction limit reached!
% 0.63/0.48 % (446490)------------------------------
% 0.63/0.48 % (446490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446490)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446490)Termination reason: Instruction limit
% 0.63/0.48 % (446490)Termination phase: SInE selection
% 0.63/0.48 % (446490)Time elapsed: 0.010 s
% 0.63/0.48 % (446490)Peak memory usage: 11 MB
% 0.63/0.48 % (446490)Instructions burned: 40 (million)
% 0.63/0.48 % (446494)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=797801335:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.63/0.48 % (446469)Instruction limit reached!
% 0.63/0.48 % (446469)------------------------------
% 0.63/0.48 % (446469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446469)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446469)Termination reason: Instruction limit
% 0.63/0.48 % (446469)Termination phase: Saturation
% 0.63/0.48 % (446469)Time elapsed: 0.076 s
% 0.63/0.48 % (446469)Peak memory usage: 14 MB
% 0.63/0.48 % (446469)Instructions burned: 159 (million)
% 0.63/0.48 % (446495)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1316746824:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.63/0.48 % (446498)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3333589620:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.63/0.48 % (446497)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=988951398:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.48 % (446497)Instruction limit reached!
% 0.63/0.48 % (446497)------------------------------
% 0.63/0.48 % (446497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446497)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446497)Termination reason: Instruction limit
% 0.63/0.48 % (446497)Termination phase: shuffling
% 0.63/0.48 % (446497)Time elapsed: 0.007 s
% 0.63/0.48 % (446497)Peak memory usage: 10 MB
% 0.63/0.48 % (446497)Instructions burned: 14 (million)
% 0.63/0.48 % (446495)Instruction limit reached!
% 0.63/0.48 % (446495)------------------------------
% 0.63/0.48 % (446495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446495)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446495)Termination reason: Instruction limit
% 0.63/0.48 % (446495)Termination phase: Property scanning
% 0.63/0.48 % (446495)Time elapsed: 0.013 s
% 0.63/0.48 % (446495)Peak memory usage: 10 MB
% 0.63/0.48 % (446495)Instructions burned: 26 (million)
% 0.63/0.48 % (446500)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=495828990:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.48 % (446500)Instruction limit reached!
% 0.63/0.48 % (446500)------------------------------
% 0.63/0.48 % (446500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446500)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446500)Termination reason: Instruction limit
% 0.63/0.48 % (446500)Termination phase: shuffling
% 0.63/0.48 % (446500)Time elapsed: 0.007 s
% 0.63/0.48 % (446500)Peak memory usage: 10 MB
% 0.63/0.48 % (446500)Instructions burned: 14 (million)
% 0.63/0.48 % (446504)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=320097435: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)
% 0.63/0.48 % (446505)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1157770310:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.63/0.48 % (446504)Instruction limit reached!
% 0.63/0.48 % (446504)------------------------------
% 0.63/0.48 % (446504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446504)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446504)Termination reason: Instruction limit
% 0.63/0.48 % (446504)Termination phase: shuffling
% 0.63/0.48 % (446504)Time elapsed: 0.002 s
% 0.63/0.48 % (446504)Peak memory usage: 10 MB
% 0.63/0.48 % (446504)Instructions burned: 4 (million)
% 0.63/0.48 % (446484)Instruction limit reached!
% 0.63/0.48 % (446484)------------------------------
% 0.63/0.48 % (446484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446484)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446484)Termination reason: Instruction limit
% 0.63/0.48 % (446484)Termination phase: Preprocessing 1
% 0.63/0.48 % (446484)Time elapsed: 0.057 s
% 0.63/0.48 % (446484)Peak memory usage: 11 MB
% 0.63/0.48 % (446484)Instructions burned: 88 (million)
% 0.63/0.48 % (446494)Refutation not found, incomplete strategy
% 0.63/0.48 % (446494)------------------------------
% 0.63/0.48 % (446494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446494)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446494)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.48 % (446494)Time elapsed: 0.042 s
% 0.63/0.48 % (446494)Peak memory usage: 14 MB
% 0.63/0.48 % (446494)Instructions burned: 84 (million)
% 0.63/0.48 % (446494)------------------------------
% 0.63/0.48 % (446494)------------------------------
% 0.63/0.48 % (446505)Instruction limit reached!
% 0.63/0.48 % (446505)------------------------------
% 0.63/0.48 % (446505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446505)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446505)Termination reason: Instruction limit
% 0.63/0.48 % (446505)Termination phase: shuffling
% 0.63/0.48 % (446505)Time elapsed: 0.012 s
% 0.63/0.48 % (446505)Peak memory usage: 10 MB
% 0.63/0.48 % (446505)Instructions burned: 26 (million)
% 0.63/0.48 % (446507)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2774098428:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.63/0.48 % (446510)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1496679459:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.63/0.48 % (446511)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
% 0.63/0.48 % (446511)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.63/0.48 % (446507)Instruction limit reached!
% 0.63/0.48 % (446507)------------------------------
% 0.63/0.48 % (446507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446507)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446507)Termination reason: Instruction limit
% 0.63/0.48 % (446507)Termination phase: Property scanning
% 0.63/0.48 % (446507)Time elapsed: 0.012 s
% 0.63/0.48 % (446507)Peak memory usage: 10 MB
% 0.63/0.48 % (446507)Instructions burned: 25 (million)
% 0.63/0.48 % (446511)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=515796077:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.48 % (446514)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=3892900205:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.63/0.48 % (446498) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-446458-446498"...
% 0.63/0.48 % (446511)Instruction limit reached!
% 0.63/0.48 % (446511)------------------------------
% 0.63/0.48 % (446511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446511)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446511)Termination reason: Instruction limit
% 0.63/0.48 % (446511)Termination phase: shuffling
% 0.63/0.48 % (446511)Time elapsed: 0.007 s
% 0.63/0.48 % (446511)Peak memory usage: 10 MB
% 0.63/0.48 % (446511)Instructions burned: 14 (million)
% 0.63/0.48 % (446498)...printing done.
% 0.63/0.48 % (446498)Refutation found. Thanks to Tanya!
% 0.63/0.48 % SZS status Theorem for theBenchmark
% 0.63/0.48 % SZS output start Proof for theBenchmark
% 0.63/0.48 thf(type_def_5, type, tLList446370796tllist: ($tType * $tType) > $tType).
% 0.63/0.48 thf(type_def_6, type, set: $tType > $tType).
% 0.63/0.48 thf(type_def_7, type, itself: $tType > $tType).
% 0.63/0.48 thf(type_def_8, type, b: $tType).
% 0.63/0.48 thf(type_def_9, type, a: $tType).
% 0.63/0.48 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.63/0.48 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.48 thf(func_def_1, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.48 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.48 thf(func_def_3, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.48 thf(func_def_4, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.48 thf(func_def_5, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.48 thf(func_def_6, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.48 thf(func_def_7, type, fcomp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X1 > X2) > X0 > X2))).
% 0.63/0.48 thf(func_def_8, type, id: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.48 thf(func_def_9, type, override_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0 > X1))).
% 0.63/0.48 thf(func_def_10, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.63/0.48 thf(func_def_11, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.63/0.48 thf(func_def_12, type, undefined: !>[X0: $tType]:(X0)).
% 0.63/0.48 thf(func_def_13, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.63/0.48 thf(func_def_14, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.63/0.48 thf(func_def_15, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.63/0.48 thf(func_def_16, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.63/0.48 thf(func_def_17, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.63/0.48 thf(func_def_18, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 0.63/0.48 thf(func_def_19, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 0.63/0.48 thf(func_def_20, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.63/0.48 thf(func_def_21, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.63/0.48 thf(func_def_22, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.63/0.48 thf(func_def_23, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 0.63/0.48 thf(func_def_24, type, pairwise: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > $o))).
% 0.63/0.48 thf(func_def_25, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 0.63/0.48 thf(func_def_26, type, tLList1825092077minal0: !>[X0: $tType]:(X0)).
% 0.63/0.48 thf(func_def_27, type, tLList1992840728_TCons: !>[X0: $tType, X1: $tType]:((X0 > tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1))).
% 0.63/0.48 thf(func_def_28, type, tLList57907754e_TNil: !>[X0: $tType, X1: $tType]:((X0 > tLList446370796tllist @ X1 @ X0))).
% 0.63/0.48 thf(func_def_29, type, tLList200813139tllist: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > tLList446370796tllist @ X2 @ X0 > X1) > tLList446370796tllist @ X2 @ X0 > X1))).
% 0.63/0.48 thf(func_def_30, type, tLList1614408749tllist: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X2) > (X0 > $o) > (X0 > tLList446370796tllist @ X2 @ X1) > (X0 > X0) > X0 > tLList446370796tllist @ X2 @ X1))).
% 0.63/0.48 thf(func_def_31, type, tLList1968894004s_TNil: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > $o))).
% 0.63/0.48 thf(func_def_32, type, tLList11265572tllist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > tLList446370796tllist @ X0 @ X1 > $o))).
% 0.63/0.48 thf(func_def_33, type, tLList457864275tllist: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > set @ X1))).
% 0.63/0.48 thf(func_def_34, type, tLList2110128105rminal: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_35, type, tLList_Mirabelle_thd: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X0))).
% 0.63/0.48 thf(func_def_36, type, tLList1380991092t_all2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > tLList446370796tllist @ X0 @ X2 > tLList446370796tllist @ X1 @ X3 > $o))).
% 0.63/0.48 thf(func_def_37, type, tLList1669959861e_tmap: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > tLList446370796tllist @ X0 @ X2 > tLList446370796tllist @ X1 @ X3))).
% 0.63/0.48 thf(func_def_38, type, tLList1719791291e_tset: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > set @ X0))).
% 0.63/0.48 thf(func_def_39, type, tLList_Mirabelle_ttl: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1))).
% 0.63/0.48 thf(func_def_40, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.63/0.48 thf(func_def_41, type, x: tLList446370796tllist @ a @ b).
% 0.63/0.48 thf(func_def_42, type, x1: b).
% 0.63/0.48 thf(func_def_44, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.63/0.48 thf(func_def_45, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.63/0.48 thf(func_def_46, type, vNOT: ($o > $o)).
% 0.63/0.48 thf(func_def_47, type, db0: !>[X0: $tType]:(X0)).
% 0.63/0.48 thf(func_def_48, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.63/0.48 thf(func_def_51, type, vIMP: ($o > $o > $o)).
% 0.63/0.48 thf(func_def_52, type, db2: !>[X0: $tType]:(X0)).
% 0.63/0.48 thf(func_def_53, type, db1: !>[X0: $tType]:(X0)).
% 0.63/0.48 thf(func_def_54, type, vAND: ($o > $o > $o)).
% 0.63/0.48 thf(func_def_55, type, db3: !>[X0: $tType]:(X0)).
% 0.63/0.48 thf(func_def_56, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.63/0.48 thf(func_def_57, type, vOR: ($o > $o > $o)).
% 0.63/0.48 thf(func_def_58, type, db6: !>[X0: $tType]:(X0)).
% 0.63/0.48 thf(func_def_59, type, db5: !>[X0: $tType]:(X0)).
% 0.63/0.48 thf(func_def_60, type, db4: !>[X0: $tType]:(X0)).
% 0.63/0.48 thf(func_def_61, type, sP0: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o))).
% 0.63/0.48 thf(func_def_62, type, sP1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > X0 > $o) > (X2 > X0 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X1 @ X0 > $o))).
% 0.63/0.48 thf(func_def_63, type, sP2: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > (X0 > $o) > (X0 > $o) > $o))).
% 0.63/0.48 thf(func_def_64, type, sP3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X3 > X2 > $o) > (X1 > X0 > $o) > $o))).
% 0.63/0.48 thf(func_def_65, type, sP4: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > X2) > (X0 > X2) > tLList446370796tllist @ X1 @ X0 > $o))).
% 0.63/0.48 thf(func_def_66, type, sP5: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o))).
% 0.63/0.48 thf(func_def_67, type, sP6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > (X0 > X2 > $o) > (X0 > X2 > $o) > tLList446370796tllist @ X1 @ X0 > $o))).
% 0.63/0.48 thf(func_def_68, type, sP7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X1 @ X0 > $o) > (X3 > X1 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X1 @ X0 > $o))).
% 0.63/0.48 thf(func_def_69, type, sP8: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o))).
% 0.63/0.48 thf(func_def_70, type, sK9: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_71, type, sK10: !>[X0: $tType]:((set @ X0 > X0))).
% 0.63/0.48 thf(func_def_72, type, sK11: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.63/0.48 thf(func_def_73, type, sK12: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.63/0.48 thf(func_def_74, type, sK13: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_75, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > tLList446370796tllist @ X2 @ X1 > (X1 > X0) > X1))).
% 0.63/0.48 thf(func_def_76, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > X2) > (X1 > X2) > X1))).
% 0.63/0.48 thf(func_def_77, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X2 @ X1 > (X2 > X0) > (X2 > X0) > X2))).
% 0.63/0.48 thf(func_def_78, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0) > tLList446370796tllist @ X2 @ X1 > (X1 > X0) > X1))).
% 0.63/0.48 thf(func_def_79, type, sK18: !>[X0: $tType]:((set @ X0 > X0))).
% 0.63/0.48 thf(func_def_80, type, sK19: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.48 thf(func_def_81, type, sK20: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.48 thf(func_def_82, type, sK21: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 0.63/0.48 thf(func_def_83, type, sK22: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_84, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > X0 > $o) > (X2 > X0 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X1 @ X0 > X2))).
% 0.63/0.48 thf(func_def_85, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > X0 > $o) > (X2 > X0 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_86, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > (X0 > X1 > $o) > tLList446370796tllist @ X0 @ X2 > (X0 > X1 > $o) > X0))).
% 0.63/0.48 thf(func_def_87, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > (X0 > X1 > $o) > tLList446370796tllist @ X0 @ X2 > (X0 > X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_88, type, sK27: !>[X0: $tType, X1: $tType]:((X0 > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.63/0.48 thf(func_def_89, type, sK28: !>[X0: $tType, X1: $tType]:((X0 > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 0.63/0.48 thf(func_def_90, type, sK29: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > (X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_91, type, sK30: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > $o) > tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_92, type, sK31: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.63/0.48 thf(func_def_93, type, sK32: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 0.63/0.48 thf(func_def_94, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X3 > X2 > $o) > (X1 > X0 > $o) > tLList446370796tllist @ X1 @ X3))).
% 0.63/0.48 thf(func_def_95, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X3 > X2 > $o) > (X1 > X0 > $o) > X1))).
% 0.63/0.48 thf(func_def_96, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X3 > X2 > $o) > (X1 > X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_97, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X3 > X2 > $o) > (X1 > X0 > $o) > tLList446370796tllist @ X0 @ X2))).
% 0.63/0.48 thf(func_def_98, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > (X2 > X3 > $o) > tLList446370796tllist @ X0 @ X2 > X2))).
% 0.63/0.48 thf(func_def_99, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > (X2 > X3 > $o) > tLList446370796tllist @ X0 @ X2 > X3))).
% 0.63/0.48 thf(func_def_100, type, sK39: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X0 @ X1 > $o) > tLList446370796tllist @ X0 @ X1))).
% 0.63/0.48 thf(func_def_101, type, sK40: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X0 @ X1 > $o) > X0))).
% 0.63/0.48 thf(func_def_102, type, sK41: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X0 @ X1 > $o) > tLList446370796tllist @ X0 @ X1))).
% 0.63/0.48 thf(func_def_103, type, sK42: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X0 @ X1 > $o) > X0))).
% 0.63/0.48 thf(func_def_104, type, sK43: !>[X0: $tType, X1: $tType]:(((X0 > tLList446370796tllist @ X0 @ X1 > $o) > X0))).
% 0.63/0.48 thf(func_def_105, type, sK44: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.63/0.48 thf(func_def_106, type, sK45: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.63/0.48 thf(func_def_107, type, sK46: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_108, type, sK47: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_109, type, sK48: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.48 thf(func_def_110, type, sK49: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.48 thf(func_def_111, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > X2) > (X0 > X2) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_112, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > X2) > (X0 > X2) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_113, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X2 @ X1 > tLList446370796tllist @ X2 @ X1 > (X2 > X0) > (X2 > X0) > X2))).
% 0.63/0.48 thf(func_def_114, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X2 @ X1 > tLList446370796tllist @ X2 @ X1 > (X2 > X0) > (X2 > X0) > X2))).
% 0.63/0.48 thf(func_def_115, type, sK54: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 0.63/0.48 thf(func_def_116, type, sK55: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 0.63/0.48 thf(func_def_117, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > (X0 > X2 > $o) > (X0 > X2 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_118, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > (X0 > X2 > $o) > (X0 > X2 > $o) > tLList446370796tllist @ X1 @ X0 > X2))).
% 0.63/0.48 thf(func_def_119, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 0.63/0.48 thf(func_def_120, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > tLList446370796tllist @ X0 @ X2 > (X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_121, type, sK60: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.63/0.48 thf(func_def_122, type, sK61: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.63/0.48 thf(func_def_123, type, sK62: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > (X0 > X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_124, type, sK63: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_125, type, sK64: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_126, type, sK65: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > X0 > $o) > tLList446370796tllist @ X1 @ X0))).
% 0.63/0.48 thf(func_def_127, type, sK66: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_128, type, sK67: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_129, type, sK68: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1))).
% 0.63/0.48 thf(func_def_130, type, sK69: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X0))).
% 0.63/0.48 thf(func_def_131, type, sK70: !>[X0: $tType, X1: $tType]:((X1 > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 0.63/0.48 thf(func_def_132, type, sK71: !>[X0: $tType, X1: $tType]:((X1 > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 0.63/0.48 thf(func_def_133, type, sK72: !>[X0: $tType, X1: $tType]:((X1 > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.63/0.48 thf(func_def_134, type, sK73: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X0 @ X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_135, type, sK74: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X0 @ X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_136, type, sK75: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X0 @ X1 > $o) > X0))).
% 0.63/0.48 thf(func_def_137, type, sK76: !>[X0: $tType, X1: $tType]:(((X1 > tLList446370796tllist @ X0 @ X1 > $o) > tLList446370796tllist @ X0 @ X1))).
% 0.63/0.48 thf(func_def_138, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((tLList446370796tllist @ X1 @ X2 > tLList446370796tllist @ X0 @ X3 > $o) > (X1 > X0 > $o) > (X2 > X3 > $o) > tLList446370796tllist @ X1 @ X2))).
% 0.63/0.48 thf(func_def_139, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((tLList446370796tllist @ X1 @ X2 > tLList446370796tllist @ X0 @ X3 > $o) > (X1 > X0 > $o) > (X2 > X3 > $o) > tLList446370796tllist @ X0 @ X3))).
% 0.63/0.48 thf(func_def_140, type, sK79: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1 > $o) > tLList446370796tllist @ X0 @ X1))).
% 0.63/0.48 thf(func_def_141, type, sK80: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1 > $o) > tLList446370796tllist @ X0 @ X1))).
% 0.63/0.48 thf(func_def_142, type, sK81: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_143, type, sK82: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_144, type, sK83: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 0.63/0.48 thf(func_def_145, type, sK84: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.48 thf(func_def_146, type, sK85: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.63/0.48 thf(func_def_147, type, sK86: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_148, type, sK87: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_149, type, sK88: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X0 @ X1 > X0))).
% 0.63/0.48 thf(func_def_150, type, sK89: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_151, type, sK90: !>[X0: $tType]:((set @ X0 > X0 > X0 > set @ X0 > set @ X0))).
% 0.63/0.48 thf(func_def_152, type, sK91: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_153, type, sK92: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_154, type, sK93: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_155, type, sK94: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_156, type, sK95: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_157, type, sK96: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_158, type, sK97: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_159, type, sK98: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_160, type, sK99: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_161, type, sK100: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_162, type, sK101: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_163, type, sK102: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_164, type, sK103: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_165, type, sK104: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_166, type, sK105: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_167, type, sK106: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_168, type, sK107: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_169, type, sK108: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_170, type, sK109: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_171, type, sK110: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_172, type, sK111: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_173, type, sK112: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_174, type, sK113: !>[X0: $tType, X1: $tType]:((X1 > X1))).
% 0.63/0.48 thf(func_def_175, type, sK114: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 0.63/0.48 thf(func_def_176, type, sK115: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > X0))).
% 0.63/0.48 thf(func_def_177, type, sK116: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_178, type, sK117: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_179, type, sK118: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_180, type, sK119: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_181, type, sK120: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_182, type, sK121: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_183, type, sK122: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_184, type, sK123: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_185, type, sK124: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_186, type, sK125: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_187, type, sK126: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_188, type, sK127: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_189, type, sK128: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_190, type, sK129: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_191, type, sK130: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_192, type, sK131: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_193, type, sK132: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_194, type, sK133: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_195, type, sK134: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_196, type, sK135: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_197, type, sK136: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_198, type, sK137: !>[X0: $tType, X1: $tType]:((X1 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_199, type, sK138: !>[X0: $tType, X1: $tType]:(((X0 > $o) > X1 > X0))).
% 0.63/0.48 thf(func_def_200, type, sK139: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_201, type, sK140: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X0 > (X0 > X1) > (X3 > X2) > X1))).
% 0.63/0.48 thf(func_def_202, type, sK141: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_203, type, sK142: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_204, type, sK143: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_205, type, sK144: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_206, type, sK145: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_207, type, sK146: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_208, type, sK147: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_209, type, sK148: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_210, type, sK149: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_211, type, sK150: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_212, type, sK151: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_213, type, sK152: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_214, type, sK153: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_215, type, sK154: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_216, type, sK155: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_217, type, sK156: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_218, type, sK157: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_219, type, sK158: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_220, type, sK159: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_221, type, sK160: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_222, type, sK161: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_223, type, sK162: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_224, type, sK163: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_225, type, sK164: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_226, type, sK165: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_227, type, sK166: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_228, type, sK167: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_229, type, sK168: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > (X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_230, type, sK169: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_231, type, sK170: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_232, type, sK171: !>[X0: $tType, X1: $tType]:((X1 > X1))).
% 0.63/0.48 thf(func_def_233, type, sK172: !>[X0: $tType]:(((X0 > X0) > X0))).
% 0.63/0.48 thf(func_def_234, type, sK173: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X0 @ X1 > $o) > (X3 > X0 > $o) > (X2 > X1 > $o) > X2))).
% 0.63/0.48 thf(func_def_235, type, sK174: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X0 @ X1 > $o) > (X3 > X0 > $o) > (X2 > X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_236, type, sK175: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X0 @ X1 > $o) > (X3 > X0 > $o) > (X2 > X1 > $o) > X2))).
% 0.63/0.48 thf(func_def_237, type, sK176: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > $o) > (X2 > $o) > (X2 > tLList446370796tllist @ X1 @ X0) > X2 > (X2 > X0) > (X2 > X2) > (X2 > X1) > X0))).
% 0.63/0.48 thf(func_def_238, type, sK177: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_239, type, sK178: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_240, type, sK179: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_241, type, sK180: !>[X0: $tType]:((set @ X0 > X0))).
% 0.63/0.48 thf(func_def_242, type, sK181: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_243, type, sK182: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_244, type, sK183: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_245, type, sK184: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (tLList446370796tllist @ X3 @ X0 > tLList446370796tllist @ X2 @ X1 > $o) > (X3 > X2 > $o) > X0))).
% 0.63/0.48 thf(func_def_246, type, sK185: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (tLList446370796tllist @ X3 @ X0 > tLList446370796tllist @ X2 @ X1 > $o) > (X3 > X2 > $o) > X1))).
% 0.63/0.48 thf(func_def_247, type, sK186: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_248, type, sK187: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (tLList446370796tllist @ X3 @ X0 > tLList446370796tllist @ X2 @ X1 > $o) > (X3 > X2 > $o) > X1))).
% 0.63/0.48 thf(func_def_249, type, sK188: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (tLList446370796tllist @ X3 @ X0 > tLList446370796tllist @ X2 @ X1 > $o) > (X3 > X2 > $o) > X0))).
% 0.63/0.48 thf(func_def_250, type, sK189: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (tLList446370796tllist @ X3 @ X0 > tLList446370796tllist @ X2 @ X1 > $o) > (X3 > X2 > $o) > X1))).
% 0.63/0.48 thf(func_def_251, type, sK190: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_252, type, sK191: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_253, type, sK192: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_254, type, sK193: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > $o) > (X0 > X2) > X0 > (X0 > $o) > (X0 > tLList446370796tllist @ X2 @ X1) > (X0 > X1) > (X0 > X0) > X1))).
% 0.63/0.48 thf(func_def_255, type, sK194: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_256, type, sK195: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_257, type, sK196: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_258, type, sK197: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_259, type, sK198: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_260, type, sK199: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_261, type, sK200: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_262, type, sK201: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_263, type, sK202: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_264, type, sK203: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_265, type, sK204: !>[X0: $tType]:((set @ X0 > X0))).
% 0.63/0.48 thf(func_def_266, type, sK205: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_267, type, sK206: !>[X0: $tType, X1: $tType]:(((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1 > $o) > X1))).
% 0.63/0.48 thf(func_def_268, type, sK207: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X0 @ X1 > X0))).
% 0.63/0.48 thf(func_def_269, type, sK208: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_270, type, sK209: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_271, type, sK210: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X0 @ X1 > X0))).
% 0.63/0.48 thf(func_def_272, type, sK211: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X0 @ X1 > X0))).
% 0.63/0.48 thf(func_def_273, type, sK212: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_274, type, sK213: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X0 @ X1 > X1))).
% 0.63/0.48 thf(func_def_275, type, sK214: b).
% 0.63/0.48 thf(func_def_276, type, sK215: !>[X0: $tType, X1: $tType]:(((X1 > $o) > X1 > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.63/0.48 thf(func_def_277, type, sK216: !>[X0: $tType, X1: $tType]:(((X0 > $o) > X1 > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_278, type, sK217: !>[X0: $tType, X1: $tType]:(((X0 > $o) > X1 > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_279, type, sK218: !>[X0: $tType, X1: $tType]:(((X0 > $o) > X1 > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_280, type, sK219: !>[X0: $tType, X1: $tType]:(((X1 > $o) > X1 > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.63/0.48 thf(func_def_281, type, sK220: !>[X0: $tType, X1: $tType]:(((X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 0.63/0.48 thf(func_def_282, type, sK221: !>[X0: $tType, X1: $tType]:(((X1 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 0.63/0.48 thf(func_def_283, type, sK222: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > $o) > (X0 > tLList446370796tllist @ X2 @ X1) > (X0 > X0) > (X0 > X1) > X0 > (X0 > $o) > (X0 > X2) > X1))).
% 0.63/0.48 thf(func_def_284, type, sK223: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 0.63/0.48 thf(func_def_285, type, sK224: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 0.63/0.48 thf(func_def_286, type, sK225: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 0.63/0.48 thf(func_def_287, type, sK226: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 0.63/0.48 thf(func_def_288, type, sK227: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 0.63/0.48 thf(func_def_289, type, sK228: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 0.63/0.48 thf(func_def_290, type, sK229: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 0.63/0.48 thf(func_def_291, type, sK230: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_292, type, sK231: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_293, type, sK232: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_294, type, sK233: !>[X0: $tType]:((set @ X0 > (X0 > X0 > $o) > X0))).
% 0.63/0.48 thf(func_def_296, type, sK235: !>[X0: $tType]:(((X0 > X0) > X0))).
% 0.63/0.48 thf(f4,axiom,(
% 0.63/0.48 ! [X1 : $tType,X0 : $tType,X2 : X1] : (((tLList2110128105rminal @ X0 @ X1 @ (tLList57907754e_TNil @ X1 @ X0 @ X2))) = X2)),
% 0.63/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_tllist_Osel_I1_J)).
% 0.63/0.48 thf(f9,axiom,(
% 0.63/0.48 ! [X0 : $tType,X1 : $tType] : (tLList1968894004s_TNil @ X1 @ X0 = (^[X2 : tLList446370796tllist @ X1 @ X0] : (? [X3 : X0] : (X2 = ((tLList57907754e_TNil @ X0 @ X1 @ X3))))))),
% 0.63/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_is__TNil__def)).
% 0.63/0.48 thf(f11,axiom,(
% 0.63/0.48 ! [X0 : $tType] : ((^[X1 : X0] : (X1)) = id @ X0)),
% 0.63/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_id__apply)).
% 0.63/0.48 thf(f12,axiom,(
% 0.63/0.48 ! [X2 : $tType,X0 : $tType,X1 : $tType] : (tLList200813139tllist @ X2 @ X1 @ X0 = (^[X3 : (X2 > X1), X4 : (X0 > tLList446370796tllist @ X0 @ X2 > X1), X5 : tLList446370796tllist @ X0 @ X2] : ((if @ X1 @ (tLList1968894004s_TNil @ X0 @ X2 @ X5) @ (X3 @ (tLList2110128105rminal @ X0 @ X2 @ X5)) @ (X4 @ (tLList_Mirabelle_thd @ X0 @ X2 @ X5) @ (tLList_Mirabelle_ttl @ X0 @ X2 @ X5))))))),
% 0.63/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_tllist_Ocase__eq__if)).
% 0.63/0.48 thf(f274,axiom,(
% 0.63/0.48 ! [X0 : $tType,X1 : X0,X2 : X0] : (X1 = ((if @ X0 @ $true @ X1 @ X2)))),
% 0.63/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_1_1_T)).
% 0.63/0.48 thf(f275,axiom,(
% 0.63/0.48 (x = ((tLList57907754e_TNil @ b @ a @ x1)))),
% 0.63/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.63/0.48 thf(f276,conjecture,(
% 0.63/0.48 ((tLList1968894004s_TNil @ a @ b @ x) => (((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) = ((tLList2110128105rminal @ a @ b @ x)))) & (~(tLList1968894004s_TNil @ a @ b @ x) => (((tLList1825092077minal0 @ (tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_ttl @ a @ b @ x))) = ((tLList2110128105rminal @ a @ b @ x))))),
% 0.63/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 0.63/0.48 thf(f277,negated_conjecture,(
% 0.63/0.48 ~(((tLList1968894004s_TNil @ a @ b @ x) => (((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) = ((tLList2110128105rminal @ a @ b @ x)))) & (~(tLList1968894004s_TNil @ a @ b @ x) => (((tLList1825092077minal0 @ (tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_ttl @ a @ b @ x))) = ((tLList2110128105rminal @ a @ b @ x)))))),
% 0.63/0.48 inference(negated_conjecture,[status(cth)],[f276])).
% 0.63/0.48 thf(f340,plain,(
% 0.63/0.48 ! [X1 : $tType,X0 : $tType] : (tLList1968894004s_TNil @ X1 @ X0 = (^[Y0 : tLList446370796tllist @ X1 @ X0]: (?? @ X0 @ (^[Y1 : X0]: ((tLList57907754e_TNil @ X0 @ X1 @ Y1) = Y0)))))),
% 0.63/0.48 inference(fool_elimination,[],[f9])).
% 0.63/0.48 thf(f367,plain,(
% 0.63/0.48 ! [X0 : $tType,X1 : X0,X2 : X0] : (X1 = ((if @ X0 @ $true @ X1 @ X2)))),
% 0.63/0.48 inference(rectify,[],[f274])).
% 0.63/0.48 thf(f368,plain,(
% 0.63/0.48 ! [X0 : $tType,X2 : X0,X1 : X0] : (((if @ X0 @ $true @ X1 @ X2)) = X1)),
% 0.63/0.48 inference(fool_elimination,[],[f367])).
% 0.63/0.48 thf(f525,plain,(
% 0.63/0.48 ! [X0 : $tType,X1 : $tType,X2 : $tType] : (tLList200813139tllist @ X0 @ X2 @ X1 = (^[X3 : (X0 > X2), X4 : (X1 > tLList446370796tllist @ X1 @ X0 > X2), X5 : tLList446370796tllist @ X1 @ X0] : ((if @ X2 @ (tLList1968894004s_TNil @ X1 @ X0 @ X5) @ (X3 @ (tLList2110128105rminal @ X1 @ X0 @ X5)) @ (X4 @ (tLList_Mirabelle_thd @ X1 @ X0 @ X5) @ (tLList_Mirabelle_ttl @ X1 @ X0 @ X5))))))),
% 0.63/0.48 inference(rectify,[],[f12])).
% 0.63/0.48 thf(f526,plain,(
% 0.63/0.48 ! [X0 : $tType,X2 : $tType,X1 : $tType] : ((^[Y0 : X0 > X2]: ((^[Y1 : X1 > tLList446370796tllist @ X1 @ X0 > X2]: ((^[Y2 : tLList446370796tllist @ X1 @ X0]: (if @ X2 @ (tLList1968894004s_TNil @ X1 @ X0 @ Y2) @ (Y0 @ (tLList2110128105rminal @ X1 @ X0 @ Y2)) @ (Y1 @ (tLList_Mirabelle_thd @ X1 @ X0 @ Y2) @ (tLList_Mirabelle_ttl @ X1 @ X0 @ Y2)))))))) = tLList200813139tllist @ X0 @ X2 @ X1)),
% 0.63/0.48 inference(fool_elimination,[],[f525])).
% 0.63/0.48 thf(f689,plain,(
% 0.63/0.48 ~(((tLList1968894004s_TNil @ a @ b @ x) => (((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) = ((tLList2110128105rminal @ a @ b @ x)))) & (~(tLList1968894004s_TNil @ a @ b @ x) => (((tLList1825092077minal0 @ (tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_ttl @ a @ b @ x))) = ((tLList2110128105rminal @ a @ b @ x)))))),
% 0.63/0.48 inference(rectify,[],[f277])).
% 0.63/0.48 thf(f690,plain,(
% 0.63/0.48 ~(((((tLList1968894004s_TNil @ a @ b @ x)) = $true) => (((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) = ((tLList2110128105rminal @ a @ b @ x)))) & (~ (((tLList1968894004s_TNil @ a @ b @ x)) = $true) => (((tLList2110128105rminal @ a @ b @ x)) = ((tLList1825092077minal0 @ (tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_ttl @ a @ b @ x))))))),
% 0.63/0.48 inference(fool_elimination,[],[f689])).
% 0.63/0.48 thf(f711,plain,(
% 0.63/0.48 ! [X0 : $tType] : (id @ X0 = (^[Y0 : X0]: (Y0)))),
% 0.63/0.48 inference(fool_elimination,[],[f11])).
% 0.63/0.48 thf(f716,plain,(
% 0.63/0.48 ~(((((tLList1968894004s_TNil @ a @ b @ x)) != $true) => (((tLList2110128105rminal @ a @ b @ x)) = ((tLList1825092077minal0 @ (tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) & ((((tLList1968894004s_TNil @ a @ b @ x)) = $true) => (((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) = ((tLList2110128105rminal @ a @ b @ x)))))),
% 0.63/0.48 inference(flattening,[],[f690])).
% 0.63/0.48 thf(f881,plain,(
% 0.63/0.48 ((((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) != ((tLList2110128105rminal @ a @ b @ x))) & (((tLList1968894004s_TNil @ a @ b @ x)) = $true)) | ((((tLList2110128105rminal @ a @ b @ x)) != ((tLList1825092077minal0 @ (tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_ttl @ a @ b @ x)))) & (((tLList1968894004s_TNil @ a @ b @ x)) != $true))),
% 0.63/0.48 inference(ennf_transformation,[],[f716])).
% 0.63/0.48 thf(f986,plain,(
% 0.63/0.48 ! [X0 : $tType,X1 : $tType] : (tLList1968894004s_TNil @ X0 @ X1 = (^[Y0 : tLList446370796tllist @ X0 @ X1]: (?? @ X1 @ (^[Y1 : X1]: ((tLList57907754e_TNil @ X1 @ X0 @ Y1) = Y0)))))),
% 0.63/0.48 inference(rectify,[],[f340])).
% 0.63/0.48 thf(f1096,plain,(
% 0.63/0.48 ! [X0 : $tType,X1 : $tType,X2 : X0] : (((tLList2110128105rminal @ X1 @ X0 @ (tLList57907754e_TNil @ X0 @ X1 @ X2))) = X2)),
% 0.63/0.48 inference(rectify,[],[f4])).
% 0.63/0.48 thf(f1179,plain,(
% 0.63/0.48 ! [X0 : $tType,X1 : X0,X2 : X0] : (((if @ X0 @ $true @ X2 @ X1)) = X2)),
% 0.63/0.48 inference(rectify,[],[f368])).
% 0.63/0.48 thf(f1188,plain,(
% 0.63/0.48 ! [X0 : $tType,X1 : $tType,X2 : $tType] : ((^[Y0 : X0 > X1]: ((^[Y1 : X2 > tLList446370796tllist @ X2 @ X0 > X1]: ((^[Y2 : tLList446370796tllist @ X2 @ X0]: (if @ X1 @ (tLList1968894004s_TNil @ X2 @ X0 @ Y2) @ (Y0 @ (tLList2110128105rminal @ X2 @ X0 @ Y2)) @ (Y1 @ (tLList_Mirabelle_thd @ X2 @ X0 @ Y2) @ (tLList_Mirabelle_ttl @ X2 @ X0 @ Y2)))))))) = tLList200813139tllist @ X0 @ X1 @ X2)),
% 0.63/0.48 inference(rectify,[],[f526])).
% 0.63/0.48 thf(f1200,plain,(
% 0.63/0.48 ( ! [X1 : $tType,X0 : $tType] : ((tLList1968894004s_TNil @ X0 @ X1 = (^[Y0 : tLList446370796tllist @ X0 @ X1]: (?? @ X1 @ (^[Y1 : X1]: ((tLList57907754e_TNil @ X1 @ X0 @ Y1) = Y0)))))) )),
% 0.63/0.48 inference(cnf_transformation,[],[f986])).
% 0.63/0.48 thf(f1231,plain,(
% 0.63/0.48 ( ! [X0 : $tType] : ((id @ X0 = (^[Y0 : X0]: (Y0)))) )),
% 0.63/0.48 inference(cnf_transformation,[],[f711])).
% 0.63/0.48 thf(f1371,plain,(
% 0.63/0.48 ( ! [X1 : $tType,X0 : $tType,X2 : X0] : ((((tLList2110128105rminal @ X1 @ X0 @ (tLList57907754e_TNil @ X0 @ X1 @ X2))) = X2)) )),
% 0.63/0.48 inference(cnf_transformation,[],[f1096])).
% 0.63/0.48 thf(f1387,plain,(
% 0.63/0.48 (((tLList200813139tllist @ b @ b @ a @ id @ b @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)) != ((tLList2110128105rminal @ a @ b @ x))) | (((tLList1968894004s_TNil @ a @ b @ x)) != $true)),
% 0.63/0.48 inference(cnf_transformation,[],[f881])).
% 0.63/0.48 thf(f1439,plain,(
% 0.63/0.48 (x = ((tLList57907754e_TNil @ b @ a @ x1)))),
% 0.63/0.48 inference(cnf_transformation,[],[f275])).
% 0.63/0.48 thf(f1514,plain,(
% 0.63/0.48 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((if @ X0 @ $true @ X2 @ X1)) = X2)) )),
% 0.63/0.48 inference(cnf_transformation,[],[f1179])).
% 0.63/0.48 thf(f1525,plain,(
% 0.63/0.48 ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : (((^[Y0 : X0 > X1]: ((^[Y1 : X2 > tLList446370796tllist @ X2 @ X0 > X1]: ((^[Y2 : tLList446370796tllist @ X2 @ X0]: (if @ X1 @ (tLList1968894004s_TNil @ X2 @ X0 @ Y2) @ (Y0 @ (tLList2110128105rminal @ X2 @ X0 @ Y2)) @ (Y1 @ (tLList_Mirabelle_thd @ X2 @ X0 @ Y2) @ (tLList_Mirabelle_ttl @ X2 @ X0 @ Y2)))))))) = tLList200813139tllist @ X0 @ X1 @ X2)) )),
% 0.63/0.48 inference(cnf_transformation,[],[f1188])).
% 0.63/0.48 thf(f1534,definition,(
% 0.63/0.48 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.63/0.48 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.63/0.48 thf(f1535,plain,(
% 0.63/0.48 ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : (((^[Y0 : X0 > X1]: ((^[Y1 : X2 > tLList446370796tllist @ X2 @ X0 > X1]: ((^[Y2 : tLList446370796tllist @ X2 @ X0]: (if @ X1 @ ((^[Y3 : tLList446370796tllist @ X2 @ X0]: (?? @ X0 @ (^[Y4 : X0]: ((tLList57907754e_TNil @ X0 @ X2 @ Y4) = Y3)))) @ Y2) @ (Y0 @ (tLList2110128105rminal @ X2 @ X0 @ Y2)) @ (Y1 @ (tLList_Mirabelle_thd @ X2 @ X0 @ Y2) @ (tLList_Mirabelle_ttl @ X2 @ X0 @ Y2)))))))) = tLList200813139tllist @ X0 @ X1 @ X2)) )),
% 0.63/0.48 inference(definition_unfolding,[],[f1525,f1200])).
% 0.63/0.48 thf(f1567,plain,(
% 0.63/0.48 ((((^[Y0 : tLList446370796tllist @ a @ b]: (?? @ b @ (^[Y1 : b]: ((tLList57907754e_TNil @ b @ a @ Y1) = Y0)))) @ x)) != $true) | (((tLList2110128105rminal @ a @ b @ x)) != (((^[Y0 : b > b]: ((^[Y1 : a > tLList446370796tllist @ a @ b > b]: ((^[Y2 : tLList446370796tllist @ a @ b]: (if @ b @ ((^[Y3 : tLList446370796tllist @ a @ b]: (?? @ b @ (^[Y4 : b]: ((tLList57907754e_TNil @ b @ a @ Y4) = Y3)))) @ Y2) @ (Y0 @ (tLList2110128105rminal @ a @ b @ Y2)) @ (Y1 @ (tLList_Mirabelle_thd @ a @ b @ Y2) @ (tLList_Mirabelle_ttl @ a @ b @ Y2)))))))) @ (^[Y0 : b]: (Y0)) @ undefined @ (a > tLList446370796tllist @ a @ b > b) @ x)))),
% 0.63/0.48 inference(definition_unfolding,[],[f1387,f1535,f1231,f1200])).
% 0.63/0.48 thf(f1951,plain,(
% 0.63/0.48 (((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) | (((?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x)))) != $true)),
% 0.63/0.48 inference(beta-eta_normalization,[],[f1567])).
% 0.63/0.48 thf(f1952,plain,(
% 0.63/0.48 ( ! [X1 : b] : (($false = (((^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x)) @ X1))) | (((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x)))))) )),
% 0.63/0.48 inference(pi_proxy_clausification,[],[f1951])).
% 0.63/0.48 thf(f1953,plain,(
% 0.63/0.48 ( ! [X1 : b] : ((((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) | ($false = (((tLList57907754e_TNil @ b @ a @ X1) = x)))) )),
% 0.63/0.48 inference(beta-eta_normalization,[],[f1952])).
% 0.63/0.48 thf(f1954,plain,(
% 0.63/0.48 ( ! [X1 : b] : ((x != ((tLList57907754e_TNil @ b @ a @ X1))) | (((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x)))))) )),
% 0.63/0.48 inference(equality_proxy_clausification,[],[f1953])).
% 0.63/0.48 thf(f3336,definition,(
% 0.63/0.48 spl234_1 <=> (((tLList2110128105rminal @ a @ b @ x)) = ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x)))))),
% 0.63/0.48 introduced(definition,[new_symbols(definition,[spl234_1])],[avatar_definition])).
% 0.63/0.48 thf(f3338,plain,(
% 0.63/0.48 (((tLList2110128105rminal @ a @ b @ x)) != ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ (tLList2110128105rminal @ a @ b @ x) @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) | spl234_1),
% 0.63/0.48 inference(avatar_component_clause,[],[f3336])).
% 0.63/0.48 thf(f3340,definition,(
% 0.63/0.48 spl234_2 <=> ! [X1 : b] : (x != ((tLList57907754e_TNil @ b @ a @ X1)))),
% 0.63/0.48 introduced(definition,[new_symbols(definition,[spl234_2])],[avatar_definition])).
% 0.63/0.48 thf(f3341,plain,(
% 0.63/0.48 ( ! [X1 : b] : ((x != ((tLList57907754e_TNil @ b @ a @ X1)))) ) | ~spl234_2),
% 0.63/0.48 inference(avatar_component_clause,[],[f3340])).
% 0.63/0.48 thf(f3342,plain,(
% 0.63/0.48 ~spl234_1 | spl234_2),
% 0.63/0.48 inference(avatar_split_clause,[],[f1954,f3340,f3336])).
% 0.63/0.48 thf(f3371,plain,(
% 0.63/0.48 (x1 = ((tLList2110128105rminal @ a @ b @ x)))),
% 0.63/0.48 inference(superposition,[],[f1371,f1439])).
% 0.63/0.48 thf(f3393,plain,(
% 0.63/0.48 (x1 != ((if @ b @ (?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x))) @ x1 @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) | spl234_1),
% 0.63/0.48 inference(superposition,[],[f3338,f3371])).
% 0.63/0.48 thf(f3400,plain,(
% 0.63/0.48 (((?? @ b @ (^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x)))) = $false) | (x1 != ((if @ b @ $true @ x1 @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) | spl234_1),
% 0.63/0.48 inference(superposition,[],[f3393,f1534])).
% 0.63/0.48 thf(f3401,plain,(
% 0.63/0.48 ( ! [X1 : b] : ((x1 != ((if @ b @ $true @ x1 @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x))))) | ($false = (((^[Y0 : b]: ((tLList57907754e_TNil @ b @ a @ Y0) = x)) @ X1)))) ) | spl234_1),
% 0.63/0.48 inference(pi_proxy_clausification,[],[f3400])).
% 0.63/0.48 thf(f3402,plain,(
% 0.63/0.48 ( ! [X1 : b] : (($false = (((tLList57907754e_TNil @ b @ a @ X1) = x))) | (x1 != ((if @ b @ $true @ x1 @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x)))))) ) | spl234_1),
% 0.63/0.48 inference(beta-eta_normalization,[],[f3401])).
% 0.63/0.48 thf(f3403,plain,(
% 0.63/0.48 ( ! [X1 : b] : ((x != ((tLList57907754e_TNil @ b @ a @ X1))) | (x1 != ((if @ b @ $true @ x1 @ (undefined @ (a > tLList446370796tllist @ a @ b > b) @ (tLList_Mirabelle_thd @ a @ b @ x) @ (tLList_Mirabelle_ttl @ a @ b @ x)))))) ) | spl234_1),
% 0.63/0.48 inference(equality_proxy_clausification,[],[f3402])).
% 0.63/0.48 thf(f3607,plain,(
% 0.63/0.48 ( ! [X1 : b] : ((x != ((tLList57907754e_TNil @ b @ a @ X1)))) ) | spl234_1),
% 0.63/0.48 inference(forward_subsumption_resolution,[],[f3403,f1514])).
% 0.63/0.48 thf(f3609,plain,(
% 0.63/0.48 spl234_2 | spl234_1),
% 0.63/0.48 inference(avatar_split_clause,[],[f3607,f3336,f3340])).
% 0.63/0.48 thf(f3610,plain,(
% 0.63/0.48 (x != x) | ~spl234_2),
% 0.63/0.48 inference(superposition,[],[f3341,f1439])).
% 0.63/0.48 thf(f3613,plain,(
% 0.63/0.48 $false | ~spl234_2),
% 0.63/0.48 inference(trivial_inequality_removal,[],[f3610])).
% 0.63/0.48 thf(f3614,plain,(
% 0.63/0.48 ~spl234_2),
% 0.63/0.48 inference(avatar_contradiction_clause,[],[f3613])).
% 0.63/0.48 cnf(s1, plain, ~spl234_1 | spl234_2, inference(sat_conversion,[],[f3342])).
% 0.63/0.48 cnf(s15, plain, spl234_1 | spl234_2, inference(sat_conversion,[],[f3609])).
% 0.63/0.48 cnf(s17, plain, ~spl234_2, inference(sat_conversion,[],[f3614])).
% 0.63/0.48 cnf(s18, plain, spl234_1, inference(rat,[],[s15,s17])).
% 0.63/0.48 cnf(s20, plain, $false, inference(rat,[],[s1,s17,s18])).
% 0.63/0.48 thf(f3615,plain,(
% 0.63/0.48 $false),
% 0.63/0.48 inference(avatar_sat_refutation,[],[s20])).
% 0.63/0.48 % SZS output end Proof for theBenchmark
% 0.63/0.48 % (446498)------------------------------
% 0.63/0.48 % (446498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.48 % (446498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.48 % (446498)CaDiCaL version: 2.1.3
% 0.63/0.48 % (446498)Termination reason: Refutation
% 0.63/0.48 % (446498)Time elapsed: 0.066 s
% 0.63/0.48 % (446498)Peak memory usage: 15 MB
% 0.63/0.48 % (446498)Instructions burned: 245 (million)
% 0.63/0.48 % (446458)Success in time 0.201 s
% 0.63/0.48 % Vampire exiting
%------------------------------------------------------------------------------