%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP071^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:13 AM UTC 2026
% Result : Theorem 1.36s 0.51s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP071^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n014.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Sep 29 19:46:45 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.24 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
% 0.67/0.38 % (3123057)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.67/0.38 % (3123091)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.67/0.38 % (3123091)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
% 0.67/0.38 % (3123091)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=3224723803:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.67/0.38 % (3123084)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1512707461:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.67/0.38 % (3123087)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4025460216:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.67/0.38 % (3123086)lrs+10_16_si=on:nwc=1.5:random_seed=1264701646:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.67/0.38 % (3123089)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2134859306:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.67/0.38 % (3123088)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=3504157400: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)
% 0.67/0.38 % (3123090)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1289028256:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.67/0.38 % (3123087)Instruction limit reached!
% 0.67/0.38 % (3123087)------------------------------
% 0.67/0.38 % (3123087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.38 % (3123087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.38 % (3123087)CaDiCaL version: 2.1.3
% 0.67/0.38 % (3123087)Termination reason: Instruction limit
% 0.67/0.38 % (3123087)Termination phase: shuffling
% 0.67/0.38 % (3123087)Time elapsed: 0.002 s
% 0.67/0.38 % (3123087)Peak memory usage: 10 MB
% 0.67/0.38 % (3123087)Instructions burned: 3 (million)
% 0.67/0.38 % (3123086)Instruction limit reached!
% 0.67/0.38 % (3123086)------------------------------
% 0.67/0.38 % (3123086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.38 % (3123086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.38 % (3123086)CaDiCaL version: 2.1.3
% 0.67/0.38 % (3123086)Termination reason: Instruction limit
% 0.67/0.38 % (3123086)Termination phase: shuffling
% 0.67/0.38 % (3123086)Time elapsed: 0.010 s
% 0.67/0.38 % (3123086)Peak memory usage: 10 MB
% 0.67/0.38 % (3123086)Instructions burned: 20 (million)
% 0.67/0.38 % (3123089)Instruction limit reached!
% 0.67/0.38 % (3123089)------------------------------
% 0.67/0.38 % (3123089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.38 % (3123089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.38 % (3123089)CaDiCaL version: 2.1.3
% 0.67/0.38 % (3123089)Termination reason: Instruction limit
% 0.67/0.38 % (3123089)Termination phase: shuffling
% 0.67/0.38 % (3123089)Time elapsed: 0.012 s
% 0.67/0.38 % (3123089)Peak memory usage: 10 MB
% 0.67/0.38 % (3123089)Instructions burned: 24 (million)
% 0.67/0.38 % (3123107)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2301133718:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.38 % (3123107)Instruction limit reached!
% 0.67/0.38 % (3123107)------------------------------
% 0.67/0.38 % (3123107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.38 % (3123107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.38 % (3123107)CaDiCaL version: 2.1.3
% 0.67/0.38 % (3123107)Termination reason: Instruction limit
% 0.67/0.38 % (3123107)Termination phase: shuffling
% 0.67/0.38 % (3123107)Time elapsed: 0.002 s
% 0.67/0.38 % (3123107)Peak memory usage: 10 MB
% 0.67/0.38 % (3123107)Instructions burned: 3 (million)
% 0.67/0.38 % (3123111)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.41 % (3123110)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4139218224:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.67/0.41 % (3123111)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3030004270:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.67/0.41 % (3123091)Instruction limit reached!
% 0.67/0.41 % (3123091)------------------------------
% 0.67/0.41 % (3123091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.41 % (3123091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.41 % (3123091)CaDiCaL version: 2.1.3
% 0.67/0.41 % (3123091)Termination reason: Instruction limit
% 0.67/0.41 % (3123091)Termination phase: Saturation
% 0.67/0.41 % (3123091)Time elapsed: 0.041 s
% 0.67/0.41 % (3123091)Peak memory usage: 13 MB
% 0.67/0.41 % (3123091)Instructions burned: 161 (million)
% 0.67/0.41 % (3123110)Instruction limit reached!
% 0.67/0.41 % (3123110)------------------------------
% 0.67/0.41 % (3123110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.41 % (3123110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.41 % (3123110)CaDiCaL version: 2.1.3
% 0.67/0.41 % (3123110)Termination reason: Instruction limit
% 0.67/0.41 % (3123110)Termination phase: shuffling
% 0.67/0.41 % (3123110)Time elapsed: 0.007 s
% 0.67/0.41 % (3123110)Peak memory usage: 10 MB
% 0.67/0.41 % (3123110)Instructions burned: 12 (million)
% 0.67/0.41 % (3123111)Instruction limit reached!
% 0.67/0.41 % (3123111)------------------------------
% 0.67/0.41 % (3123111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.41 % (3123111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.41 % (3123111)CaDiCaL version: 2.1.3
% 0.67/0.41 % (3123111)Termination reason: Instruction limit
% 0.67/0.41 % (3123111)Termination phase: shuffling
% 0.67/0.41 % (3123111)Time elapsed: 0.005 s
% 0.67/0.41 % (3123111)Peak memory usage: 10 MB
% 0.67/0.41 % (3123111)Instructions burned: 8 (million)
% 0.67/0.41 % (3123090)Instruction limit reached!
% 0.67/0.41 % (3123090)------------------------------
% 0.67/0.41 % (3123090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.41 % (3123090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.41 % (3123090)CaDiCaL version: 2.1.3
% 0.67/0.41 % (3123090)Termination reason: Instruction limit
% 0.67/0.41 % (3123090)Termination phase: Preprocessing 3
% 0.67/0.41 % (3123090)Time elapsed: 0.038 s
% 0.67/0.41 % (3123090)Peak memory usage: 12 MB
% 0.67/0.41 % (3123090)Instructions burned: 75 (million)
% 0.67/0.41 % (3123124)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
% 0.67/0.41 % (3123124)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.41 % (3123117)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1269674778:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.67/0.41 % (3123084)Instruction limit reached!
% 0.67/0.41 % (3123084)------------------------------
% 0.67/0.41 % (3123084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.41 % (3123084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.41 % (3123084)CaDiCaL version: 2.1.3
% 0.67/0.41 % (3123084)Termination reason: Instruction limit
% 0.67/0.41 % (3123084)Termination phase: Property scanning
% 0.67/0.41 % (3123084)Time elapsed: 0.043 s
% 0.67/0.41 % (3123084)Peak memory usage: 12 MB
% 0.67/0.41 % (3123084)Instructions burned: 89 (million)
% 0.67/0.41 % (3123124)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=846365620:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.67/0.41 % (3123117)Instruction limit reached!
% 0.67/0.41 % (3123117)------------------------------
% 0.67/0.41 % (3123117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.41 % (3123117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.41 % (3123117)CaDiCaL version: 2.1.3
% 0.67/0.41 % (3123117)Termination reason: Instruction limit
% 0.67/0.45 % (3123117)Termination phase: shuffling
% 0.67/0.45 % (3123117)Time elapsed: 0.006 s
% 0.67/0.45 % (3123117)Peak memory usage: 10 MB
% 0.67/0.45 % (3123117)Instructions burned: 12 (million)
% 0.67/0.45 % (3123124)Instruction limit reached!
% 0.67/0.45 % (3123124)------------------------------
% 0.67/0.45 % (3123124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.45 % (3123124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.45 % (3123124)CaDiCaL version: 2.1.3
% 0.67/0.45 % (3123124)Termination reason: Instruction limit
% 0.67/0.45 % (3123124)Termination phase: shuffling
% 0.67/0.45 % (3123124)Time elapsed: 0.007 s
% 0.67/0.45 % (3123124)Peak memory usage: 11 MB
% 0.67/0.45 % (3123124)Instructions burned: 28 (million)
% 0.67/0.45 % (3123130)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.67/0.45 % (3123127)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=142334121:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.67/0.45 % (3123128)lrs+10_1_si=on:cs=on:random_seed=287887519:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.67/0.45 % (3123130)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=105970625:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.45 % (3123128)Instruction limit reached!
% 0.67/0.45 % (3123128)------------------------------
% 0.67/0.45 % (3123128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.45 % (3123128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.45 % (3123128)CaDiCaL version: 2.1.3
% 0.67/0.45 % (3123128)Termination reason: Instruction limit
% 0.67/0.45 % (3123128)Termination phase: shuffling
% 0.67/0.45 % (3123128)Time elapsed: 0.004 s
% 0.67/0.45 % (3123128)Peak memory usage: 10 MB
% 0.67/0.45 % (3123128)Instructions burned: 8 (million)
% 0.67/0.45 % (3123141)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=22460591:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.67/0.45 % (3123130)Instruction limit reached!
% 0.67/0.45 % (3123130)------------------------------
% 0.67/0.45 % (3123130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.45 % (3123130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.45 % (3123130)CaDiCaL version: 2.1.3
% 0.67/0.45 % (3123130)Termination reason: Instruction limit
% 0.67/0.45 % (3123130)Termination phase: shuffling
% 0.67/0.45 % (3123130)Time elapsed: 0.002 s
% 0.67/0.45 % (3123130)Peak memory usage: 10 MB
% 0.67/0.45 % (3123130)Instructions burned: 3 (million)
% 0.67/0.45 % (3123135)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3819478261:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.67/0.45 % (3123141)Instruction limit reached!
% 0.67/0.45 % (3123141)------------------------------
% 0.67/0.45 % (3123141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.45 % (3123139)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1352998427:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.67/0.45 % (3123141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.45 % (3123141)CaDiCaL version: 2.1.3
% 0.67/0.45 % (3123141)Termination reason: Instruction limit
% 0.67/0.45 % (3123141)Termination phase: shuffling
% 0.67/0.45 % (3123141)Time elapsed: 0.006 s
% 0.67/0.45 % (3123141)Peak memory usage: 11 MB
% 0.67/0.45 % (3123141)Instructions burned: 25 (million)
% 0.67/0.45 % (3123154)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=326811740:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.67/0.45 % (3123146)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2779291412:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.67/0.45 % (3123149)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3308913386:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.67/0.45 % (3123135)Instruction limit reached!
% 0.67/0.45 % (3123135)------------------------------
% 0.67/0.45 % (3123135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.50 % (3123135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.50 % (3123135)CaDiCaL version: 2.1.3
% 1.36/0.50 % (3123135)Termination reason: Instruction limit
% 1.36/0.50 % (3123135)Termination phase: Property scanning
% 1.36/0.50 % (3123135)Time elapsed: 0.018 s
% 1.36/0.50 % (3123135)Peak memory usage: 11 MB
% 1.36/0.50 % (3123135)Instructions burned: 39 (million)
% 1.36/0.50 % (3123154)Instruction limit reached!
% 1.36/0.50 % (3123154)------------------------------
% 1.36/0.50 % (3123154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.50 % (3123154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.50 % (3123154)CaDiCaL version: 2.1.3
% 1.36/0.50 % (3123154)Termination reason: Instruction limit
% 1.36/0.50 % (3123154)Termination phase: shuffling
% 1.36/0.50 % (3123154)Time elapsed: 0.004 s
% 1.36/0.50 % (3123154)Peak memory usage: 10 MB
% 1.36/0.50 % (3123154)Instructions burned: 17 (million)
% 1.36/0.50 % (3123146)Instruction limit reached!
% 1.36/0.50 % (3123146)------------------------------
% 1.36/0.50 % (3123146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.50 % (3123146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.50 % (3123146)CaDiCaL version: 2.1.3
% 1.36/0.50 % (3123146)Termination reason: Instruction limit
% 1.36/0.50 % (3123146)Termination phase: shuffling
% 1.36/0.50 % (3123146)Time elapsed: 0.007 s
% 1.36/0.50 % (3123146)Peak memory usage: 10 MB
% 1.36/0.50 % (3123146)Instructions burned: 15 (million)
% 1.36/0.50 % (3123162)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2432306328:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.36/0.50 % (3123127)Instruction limit reached!
% 1.36/0.50 % (3123127)------------------------------
% 1.36/0.50 % (3123127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.50 % (3123127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.50 % (3123127)CaDiCaL version: 2.1.3
% 1.36/0.50 % (3123127)Termination reason: Instruction limit
% 1.36/0.50 % (3123127)Termination phase: Preprocessing 1
% 1.36/0.50 % (3123127)Time elapsed: 0.039 s
% 1.36/0.50 % (3123127)Peak memory usage: 11 MB
% 1.36/0.50 % (3123127)Instructions burned: 86 (million)
% 1.36/0.50 % (3123161)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2655826347: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)
% 1.36/0.50 % (3123162)Instruction limit reached!
% 1.36/0.50 % (3123162)------------------------------
% 1.36/0.50 % (3123162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.50 % (3123162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.50 % (3123162)CaDiCaL version: 2.1.3
% 1.36/0.50 % (3123162)Termination reason: Instruction limit
% 1.36/0.50 % (3123162)Termination phase: shuffling
% 1.36/0.50 % (3123162)Time elapsed: 0.007 s
% 1.36/0.50 % (3123162)Peak memory usage: 10 MB
% 1.36/0.50 % (3123162)Instructions burned: 30 (million)
% 1.36/0.50 % (3123161)Instruction limit reached!
% 1.36/0.50 % (3123161)------------------------------
% 1.36/0.50 % (3123161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.50 % (3123161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.50 % (3123161)CaDiCaL version: 2.1.3
% 1.36/0.50 % (3123161)Termination reason: Instruction limit
% 1.36/0.50 % (3123161)Termination phase: shuffling
% 1.36/0.50 % (3123161)Time elapsed: 0.002 s
% 1.36/0.50 % (3123161)Peak memory usage: 10 MB
% 1.36/0.50 % (3123161)Instructions burned: 3 (million)
% 1.36/0.50 % (3123164)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=604705871:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.36/0.50 % (3123175)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
% 1.36/0.50 % (3123175)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.36/0.50 % (3123175)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=1566050809:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.36/0.51 % (3123170)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4059442514:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.36/0.51 % (3123175)Instruction limit reached!
% 1.36/0.51 % (3123175)------------------------------
% 1.36/0.51 % (3123175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.51 % (3123175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.51 % (3123175)CaDiCaL version: 2.1.3
% 1.36/0.51 % (3123175)Termination reason: Instruction limit
% 1.36/0.51 % (3123175)Termination phase: shuffling
% 1.36/0.51 % (3123175)Time elapsed: 0.003 s
% 1.36/0.51 % (3123175)Peak memory usage: 10 MB
% 1.36/0.51 % (3123175)Instructions burned: 14 (million)
% 1.36/0.51 % (3123176)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.36/0.51 % (3123164)Instruction limit reached!
% 1.36/0.51 % (3123164)------------------------------
% 1.36/0.51 % (3123164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.51 % (3123164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.51 % (3123164)CaDiCaL version: 2.1.3
% 1.36/0.51 % (3123164)Termination reason: Instruction limit
% 1.36/0.51 % (3123164)Termination phase: shuffling
% 1.36/0.51 % (3123164)Time elapsed: 0.012 s
% 1.36/0.51 % (3123164)Peak memory usage: 10 MB
% 1.36/0.51 % (3123164)Instructions burned: 25 (million)
% 1.36/0.51 % (3123139)Refutation not found, incomplete strategy
% 1.36/0.51 % (3123139)------------------------------
% 1.36/0.51 % (3123139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.51 % (3123139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.51 % (3123139)CaDiCaL version: 2.1.3
% 1.36/0.51 % (3123139)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.51 % (3123139)Time elapsed: 0.051 s
% 1.36/0.51 % (3123139)Peak memory usage: 14 MB
% 1.36/0.51 % (3123139)Instructions burned: 105 (million)
% 1.36/0.51 % (3123176)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=2237817286:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.36/0.51 % (3123139)------------------------------
% 1.36/0.51 % (3123139)------------------------------
% 1.36/0.51 % (3123185)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=2754207425:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.36/0.51 % (3123176)Instruction limit reached!
% 1.36/0.51 % (3123176)------------------------------
% 1.36/0.51 % (3123176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.51 % (3123176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.51 % (3123176)CaDiCaL version: 2.1.3
% 1.36/0.51 % (3123176)Termination reason: Instruction limit
% 1.36/0.51 % (3123176)Termination phase: shuffling
% 1.36/0.51 % (3123176)Time elapsed: 0.005 s
% 1.36/0.51 % (3123176)Peak memory usage: 10 MB
% 1.36/0.51 % (3123176)Instructions burned: 9 (million)
% 1.36/0.51 % (3123185)Instruction limit reached!
% 1.36/0.51 % (3123185)------------------------------
% 1.36/0.51 % (3123185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.51 % (3123185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.51 % (3123185)CaDiCaL version: 2.1.3
% 1.36/0.51 % (3123185)Termination reason: Instruction limit
% 1.36/0.51 % (3123185)Termination phase: shuffling
% 1.36/0.51 % (3123185)Time elapsed: 0.008 s
% 1.36/0.51 % (3123185)Peak memory usage: 10 MB
% 1.36/0.51 % (3123185)Instructions burned: 31 (million)
% 1.36/0.51 % (3123186)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2818348498:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.36/0.51 % (3123188)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=802035070:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.36/0.51 % (3123186)Instruction limit reached!
% 1.36/0.51 % (3123186)------------------------------
% 1.36/0.51 % (3123186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.51 % (3123186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.51 % (3123186)CaDiCaL version: 2.1.3
% 1.36/0.51 % (3123186)Termination reason: Instruction limit
% 1.36/0.51 % (3123186)Termination phase: shuffling
% 1.36/0.51 % (3123186)Time elapsed: 0.004 s
% 1.36/0.51 % (3123186)Peak memory usage: 10 MB
% 1.36/0.51 % (3123186)Instructions burned: 8 (million)
% 1.36/0.51 % (3123170)Instruction limit reached!
% 1.36/0.51 % (3123170)------------------------------
% 1.36/0.51 % (3123170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.51 % (3123170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.51 % (3123170)CaDiCaL version: 2.1.3
% 1.36/0.51 % (3123170)Termination reason: Instruction limit
% 1.36/0.51 % (3123170)Termination phase: Preprocessing 3
% 1.36/0.51 % (3123170)Time elapsed: 0.029 s
% 1.36/0.51 % (3123170)Peak memory usage: 11 MB
% 1.36/0.51 % (3123170)Instructions burned: 60 (million)
% 1.36/0.51 % (3123195)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1405816416:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.36/0.51 % (3123192)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1888313472:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.36/0.51 % (3123188)Instruction limit reached!
% 1.36/0.51 % (3123188)------------------------------
% 1.36/0.51 % (3123188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.51 % (3123188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.51 % (3123188)CaDiCaL version: 2.1.3
% 1.36/0.51 % (3123188)Termination reason: Instruction limit
% 1.36/0.51 % (3123188)Termination phase: shuffling
% 1.36/0.51 % (3123188)Time elapsed: 0.011 s
% 1.36/0.51 % (3123188)Peak memory usage: 10 MB
% 1.36/0.51 % (3123188)Instructions burned: 23 (million)
% 1.36/0.51 % (3123192)Instruction limit reached!
% 1.36/0.51 % (3123192)------------------------------
% 1.36/0.51 % (3123192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.51 % (3123192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.51 % (3123192)CaDiCaL version: 2.1.3
% 1.36/0.51 % (3123192)Termination reason: Instruction limit
% 1.36/0.51 % (3123192)Termination phase: shuffling
% 1.36/0.51 % (3123192)Time elapsed: 0.011 s
% 1.36/0.51 % (3123192)Peak memory usage: 10 MB
% 1.36/0.51 % (3123192)Instructions burned: 22 (million)
% 1.36/0.51 % (3123204)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4125897162:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.36/0.51 % (3123203)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=478962661:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.36/0.51 % (3123213)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1964085941:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.36/0.51 % (3123218)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.36/0.51 % (3123218)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3582313214:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.36/0.51 % (3123218)Instruction limit reached!
% 1.36/0.51 % (3123218)------------------------------
% 1.36/0.51 % (3123218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.51 % (3123218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.51 % (3123218)CaDiCaL version: 2.1.3
% 1.36/0.51 % (3123218)Termination reason: Instruction limit
% 1.36/0.51 % (3123218)Termination phase: shuffling
% 1.36/0.51 % (3123218)Time elapsed: 0.004 s
% 1.36/0.51 % (3123218)Peak memory usage: 10 MB
% 1.36/0.51 % (3123218)Instructions burned: 8 (million)
% 1.36/0.51 % (3123213)Instruction limit reached!
% 1.36/0.51 % (3123213)------------------------------
% 1.36/0.51 % (3123213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.51 % (3123213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.51 % (3123213)CaDiCaL version: 2.1.3
% 1.36/0.51 % (3123213)Termination reason: Instruction limit
% 1.36/0.51 % (3123213)Termination phase: Property scanning
% 1.36/0.51 % (3123213)Time elapsed: 0.020 s
% 1.36/0.51 % (3123213)Peak memory usage: 11 MB
% 1.36/0.51 % (3123213)Instructions burned: 44 (million)
% 1.36/0.51 % (3123239)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=364185689:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.36/0.51 % (3123088) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3123057-3123088"...
% 1.36/0.51 % (3123088)...printing done.
% 1.36/0.51 % (3123088)Refutation found. Thanks to Tanya!
% 1.36/0.51 % SZS status Theorem for theBenchmark
% 1.36/0.51 % SZS output start Proof for theBenchmark
% 1.36/0.51 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 1.36/0.51 thf(type_def_6, type, multiset: $tType > $tType).
% 1.36/0.51 thf(type_def_7, type, list: $tType > $tType).
% 1.36/0.51 thf(type_def_8, type, tree: $tType > $tType).
% 1.36/0.51 thf(type_def_9, type, set: $tType > $tType).
% 1.36/0.51 thf(type_def_10, type, a: $tType).
% 1.36/0.51 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 1.36/0.51 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.36/0.51 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 1.36/0.51 thf(func_def_2, type, order: !>[X0: $tType]:($o)).
% 1.36/0.51 thf(func_def_3, type, linorder: !>[X0: $tType]:($o)).
% 1.36/0.51 thf(func_def_4, type, preorder: !>[X0: $tType]:($o)).
% 1.36/0.51 thf(func_def_5, type, bNF_Ca1785829860lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 1.36/0.51 thf(func_def_6, type, bNF_csquare: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ X0 > (X1 > X2) > (X3 > X2) > (X0 > X1) > (X0 > X3) > $o))).
% 1.36/0.51 thf(func_def_7, type, bNF_fstOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X0 @ X1))).
% 1.36/0.51 thf(func_def_8, type, bNF_pick_middlep: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > X1))).
% 1.36/0.51 thf(func_def_9, type, bNF_sndOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 1.36/0.51 thf(func_def_10, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 1.36/0.51 thf(func_def_11, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 1.36/0.51 thf(func_def_12, type, heapIm818251801eapify: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_13, type, heapIm721255937_empty: !>[X0: $tType]:((tree @ X0 > $o))).
% 1.36/0.51 thf(func_def_14, type, heapIm1542349758ve_max: !>[X0: $tType]:((tree @ X0 > product_prod @ X0 @ tree @ X0))).
% 1.36/0.51 thf(func_def_15, type, heapIm1271749598e_left: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_16, type, heapIm970386777veLeaf: !>[X0: $tType]:((tree @ X0 > product_prod @ X0 @ tree @ X0))).
% 1.36/0.51 thf(func_def_17, type, heapIm1434396069_right: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_18, type, heapIm748920189ftDown: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_19, type, heap: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > tree @ X1) > (X0 > product_prod @ X1 @ X0) > $o))).
% 1.36/0.51 thf(func_def_20, type, heap_axioms: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > (X0 > tree @ X1) > (X0 > product_prod @ X1 @ X0) > $o))).
% 1.36/0.51 thf(func_def_21, type, e: !>[X0: $tType]:(tree @ X0)).
% 1.36/0.51 thf(func_def_22, type, t: !>[X0: $tType]:((X0 > tree @ X0 > tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_23, type, in_tree: !>[X0: $tType]:((X0 > tree @ X0 > $o))).
% 1.36/0.51 thf(func_def_24, type, is_heap: !>[X0: $tType]:((tree @ X0 > $o))).
% 1.36/0.51 thf(func_def_25, type, multiset2: !>[X0: $tType]:((tree @ X0 > multiset @ X0))).
% 1.36/0.51 thf(func_def_26, type, val: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_27, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.36/0.51 thf(func_def_28, type, lattic929149872er_Max: !>[X0: $tType]:((set @ X0 > X0))).
% 1.36/0.51 thf(func_def_29, type, add_mset: !>[X0: $tType]:((X0 > multiset @ X0 > multiset @ X0))).
% 1.36/0.51 thf(func_def_30, type, set_mset: !>[X0: $tType]:((multiset @ X0 > set @ X0))).
% 1.36/0.51 thf(func_def_31, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.36/0.51 thf(func_def_32, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_33, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 1.36/0.51 thf(func_def_34, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 1.36/0.51 thf(func_def_35, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X2 @ X0 > product_prod @ X2 @ X1))).
% 1.36/0.51 thf(func_def_36, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 1.36/0.51 thf(func_def_37, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.36/0.51 thf(func_def_38, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.36/0.51 thf(func_def_39, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.36/0.51 thf(func_def_40, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 1.36/0.51 thf(func_def_41, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 1.36/0.51 thf(func_def_42, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 1.36/0.51 thf(func_def_43, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 1.36/0.51 thf(func_def_44, type, powp: !>[X0: $tType]:(((X0 > $o) > set @ X0 > $o))).
% 1.36/0.51 thf(func_def_45, type, relcompp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > $o))).
% 1.36/0.51 thf(func_def_46, type, collection: !>[X0: $tType, X1: $tType]:((X0 > (X0 > $o) > (list @ X1 > X0) > (X0 > multiset @ X1) > $o))).
% 1.36/0.51 thf(func_def_47, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.36/0.51 thf(func_def_48, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.36/0.51 thf(func_def_49, type, t2: tree @ a).
% 1.36/0.51 thf(func_def_50, type, v: a).
% 1.36/0.51 thf(func_def_54, type, vAND: ($o > $o > $o)).
% 1.36/0.51 thf(func_def_55, type, db4: !>[X0: $tType]:(X0)).
% 1.36/0.51 thf(func_def_56, type, db3: !>[X0: $tType]:(X0)).
% 1.36/0.51 thf(func_def_57, type, db2: !>[X0: $tType]:(X0)).
% 1.36/0.51 thf(func_def_58, type, db1: !>[X0: $tType]:(X0)).
% 1.36/0.51 thf(func_def_59, type, db0: !>[X0: $tType]:(X0)).
% 1.36/0.51 thf(func_def_60, type, db5: !>[X0: $tType]:(X0)).
% 1.36/0.51 thf(func_def_61, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.36/0.51 thf(func_def_62, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.36/0.51 thf(func_def_63, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.36/0.51 thf(func_def_64, type, vIMP: ($o > $o > $o)).
% 1.36/0.51 thf(func_def_65, type, vNOT: ($o > $o)).
% 1.36/0.51 thf(func_def_66, type, db7: !>[X0: $tType]:(X0)).
% 1.36/0.51 thf(func_def_67, type, vOR: ($o > $o > $o)).
% 1.36/0.51 thf(func_def_68, type, sP0: !>[X0: $tType]:(((tree @ X0 > $o) > $o))).
% 1.36/0.51 thf(func_def_69, type, sP1: !>[X0: $tType]:(((tree @ X0 > $o) > $o))).
% 1.36/0.51 thf(func_def_70, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.36/0.51 thf(func_def_71, type, sP3: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 1.36/0.51 thf(func_def_72, type, sP4: !>[X0: $tType, X1: $tType]:(((X0 > product_prod @ X1 @ X0) > (X0 > tree @ X1) > (X0 > $o) > $o))).
% 1.36/0.51 thf(func_def_73, type, sP5: !>[X0: $tType, X1: $tType]:(((X0 > product_prod @ X1 @ X0) > (X0 > tree @ X1) > (X0 > $o) > $o))).
% 1.36/0.51 thf(func_def_74, type, sK6: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1 > X0))).
% 1.36/0.51 thf(func_def_75, type, sK7: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > product_prod @ X0 @ X1 > X1))).
% 1.36/0.51 thf(func_def_76, type, sK8: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_77, type, sK9: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 1.36/0.51 thf(func_def_78, type, sK10: !>[X0: $tType, X1: $tType]:((X1 > product_prod @ X0 @ X1 > X0))).
% 1.36/0.51 thf(func_def_79, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X1 > X2))).
% 1.36/0.51 thf(func_def_80, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X1 > X4))).
% 1.36/0.51 thf(func_def_81, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X1 > X1))).
% 1.36/0.51 thf(func_def_82, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X1 > X5))).
% 1.36/0.51 thf(func_def_83, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X1 > X3))).
% 1.36/0.51 thf(func_def_84, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X1 > X0))).
% 1.36/0.51 thf(func_def_85, type, sK17: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_86, type, sK18: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_87, type, sK19: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_88, type, sK20: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 1.36/0.51 thf(func_def_89, type, sK21: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 1.36/0.51 thf(func_def_90, type, sK22: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X1))).
% 1.36/0.51 thf(func_def_91, type, sK23: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X0))).
% 1.36/0.51 thf(func_def_92, type, sK24: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_93, type, sK25: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_94, type, sK26: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_95, type, sK27: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_96, type, sK28: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_97, type, sK29: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_98, type, sK30: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_99, type, sK31: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_100, type, sK32: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_101, type, sK33: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_102, type, sK34: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_103, type, sK35: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_104, type, sK36: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_105, type, sK37: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_106, type, sK38: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_107, type, sK39: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_108, type, sK40: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_109, type, sK41: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_110, type, sK42: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_111, type, sK43: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_112, type, sK44: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_113, type, sK45: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_114, type, sK46: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_115, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X1 @ X0 > (X1 > X0 > X2 > $o) > X1))).
% 1.36/0.51 thf(func_def_116, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X1 @ X0 > (X1 > X0 > X2 > $o) > X0))).
% 1.36/0.51 thf(func_def_117, type, sK49: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.36/0.51 thf(func_def_118, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X2))).
% 1.36/0.51 thf(func_def_119, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X3))).
% 1.36/0.51 thf(func_def_120, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X1))).
% 1.36/0.51 thf(func_def_121, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X0))).
% 1.36/0.51 thf(func_def_122, type, sK54: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.36/0.51 thf(func_def_123, type, sK55: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.36/0.51 thf(func_def_124, type, sK56: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.36/0.51 thf(func_def_125, type, sK57: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_126, type, sK58: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_127, type, sK59: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.36/0.51 thf(func_def_128, type, sK60: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_129, type, sK61: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_130, type, sK62: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_131, type, sK63: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_132, type, sK64: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_133, type, sK65: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_134, type, sK66: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_135, type, sK67: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_136, type, sK68: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_137, type, sK69: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_138, type, sK70: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_139, type, sK71: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_140, type, sK72: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_141, type, sK73: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_142, type, sK74: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_143, type, sK75: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_144, type, sK76: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_145, type, sK77: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_146, type, sK78: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_147, type, sK79: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_148, type, sK80: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_149, type, sK81: !>[X0: $tType]:(((tree @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_150, type, sK82: !>[X0: $tType]:(((tree @ X0 > $o) > tree @ X0))).
% 1.36/0.51 thf(func_def_151, type, sK83: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X0))).
% 1.36/0.51 thf(func_def_152, type, sK84: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > (X0 > X1 > $o) > X1))).
% 1.36/0.51 thf(func_def_153, type, sK85: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_154, type, sK86: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 1.36/0.51 thf(func_def_155, type, sK87: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1 > X0))).
% 1.36/0.51 thf(func_def_156, type, sK88: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_157, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X0))).
% 1.36/0.51 thf(func_def_158, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X2))).
% 1.36/0.51 thf(func_def_159, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X1))).
% 1.36/0.51 thf(func_def_160, type, sK92: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_161, type, sK93: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_162, type, sK94: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_163, type, sK95: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_164, type, sK96: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_165, type, sK97: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_166, type, sK98: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_167, type, sK99: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_168, type, sK100: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_169, type, sK101: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_170, type, sK102: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_171, type, sK103: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_172, type, sK104: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_173, type, sK105: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_174, type, sK106: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_175, type, sK107: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_176, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X0 > X1 > set @ X2) > product_prod @ X0 @ X1 > X0))).
% 1.36/0.51 thf(func_def_177, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X0 > X1 > set @ X2) > product_prod @ X0 @ X1 > X1))).
% 1.36/0.51 thf(func_def_178, type, sK110: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ X0 > $o) > X5))).
% 1.36/0.51 thf(func_def_179, type, sK111: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ X0 > $o) > X1))).
% 1.36/0.51 thf(func_def_180, type, sK112: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ X0 > $o) > X4))).
% 1.36/0.51 thf(func_def_181, type, sK113: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ X0 > $o) > X3))).
% 1.36/0.51 thf(func_def_182, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ X0 > $o) > X2))).
% 1.36/0.51 thf(func_def_183, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X1 @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_184, type, sK116: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 1.36/0.51 thf(func_def_185, type, sK117: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_186, type, sK118: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X1))).
% 1.36/0.51 thf(func_def_187, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X2))).
% 1.36/0.51 thf(func_def_188, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X5))).
% 1.36/0.51 thf(func_def_189, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X4))).
% 1.36/0.51 thf(func_def_190, type, sK122: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X6))).
% 1.36/0.51 thf(func_def_191, type, sK123: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X0))).
% 1.36/0.51 thf(func_def_192, type, sK124: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X3))).
% 1.36/0.51 thf(func_def_193, type, sK125: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.36/0.51 thf(func_def_194, type, sK126: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.36/0.51 thf(func_def_195, type, sK127: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X1 > X0))).
% 1.36/0.51 thf(func_def_196, type, sK128: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X2 > (X0 > X2 > set @ X1) > X1 > X2))).
% 1.36/0.51 thf(func_def_197, type, sK129: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0))).
% 1.36/0.51 thf(func_def_198, type, sK130: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1))).
% 1.36/0.51 thf(func_def_199, type, sK131: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.36/0.51 thf(func_def_200, type, sK132: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.36/0.51 thf(func_def_201, type, sK133: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_202, type, sK134: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_203, type, sK135: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_204, type, sK136: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > $o) > X3))).
% 1.36/0.51 thf(func_def_205, type, sK137: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > $o) > X1))).
% 1.36/0.51 thf(func_def_206, type, sK138: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > $o) > X2))).
% 1.36/0.51 thf(func_def_207, type, sK139: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X0 @ X3 > $o) > X0))).
% 1.36/0.51 thf(func_def_208, type, sK140: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.36/0.51 thf(func_def_209, type, sK141: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X2))).
% 1.36/0.51 thf(func_def_210, type, sK142: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X1))).
% 1.36/0.51 thf(func_def_211, type, sK143: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X0))).
% 1.36/0.51 thf(func_def_212, type, sK144: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X0 > $o) > X4))).
% 1.36/0.51 thf(func_def_213, type, sK145: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X0 > $o) > X2))).
% 1.36/0.51 thf(func_def_214, type, sK146: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X0 > $o) > X3))).
% 1.36/0.51 thf(func_def_215, type, sK147: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_216, type, sK148: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X0 > $o) > X1))).
% 1.36/0.51 thf(func_def_217, type, sK149: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0 > X2) > (X1 > X0 > X2) > product_prod @ X1 @ X0 > X1))).
% 1.36/0.51 thf(func_def_218, type, sK150: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0 > X2) > (X1 > X0 > X2) > product_prod @ X1 @ X0 > X0))).
% 1.36/0.51 thf(func_def_219, type, sK151: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > (X2 > $o) > X0))).
% 1.36/0.51 thf(func_def_220, type, sK152: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > (X2 > $o) > X1))).
% 1.36/0.51 thf(func_def_221, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > X1) > (product_prod @ X2 @ X0 > X1) > X0))).
% 1.36/0.51 thf(func_def_222, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X0 > X1) > (product_prod @ X2 @ X0 > X1) > X2))).
% 1.36/0.51 thf(func_def_223, type, sK155: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X1))).
% 1.36/0.51 thf(func_def_224, type, sK156: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X3))).
% 1.36/0.51 thf(func_def_225, type, sK157: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X4))).
% 1.36/0.51 thf(func_def_226, type, sK158: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X2))).
% 1.36/0.51 thf(func_def_227, type, sK159: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X5))).
% 1.36/0.51 thf(func_def_228, type, sK160: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X6))).
% 1.36/0.51 thf(func_def_229, type, sK161: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ X3 > $o) > X0))).
% 1.36/0.51 thf(func_def_230, type, sK162: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_231, type, sK163: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_232, type, sK164: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_233, type, sK165: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_234, type, sK166: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_235, type, sK167: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_236, type, sK168: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_237, type, sK169: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_238, type, sK170: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_239, type, sK171: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_240, type, sK172: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_241, type, sK173: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_242, type, sK174: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_243, type, sK175: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_244, type, sK176: !>[X0: $tType]:((tree @ X0 > tree @ X0))).
% 1.36/0.51 thf(func_def_245, type, sK177: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_246, type, sK178: !>[X0: $tType]:((tree @ X0 > X0))).
% 1.36/0.51 thf(func_def_247, type, sK179: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_248, type, sK180: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_249, type, sK181: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_250, type, sK182: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_251, type, sK183: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0 > X2) > (X2 > $o) > (X0 > X1 > $o) > X0))).
% 1.36/0.51 thf(func_def_252, type, sK184: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0 > X2) > (X2 > $o) > (X0 > X1 > $o) > X1))).
% 1.36/0.51 thf(func_def_253, type, sK185: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_254, type, sK186: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.36/0.51 thf(func_def_255, type, sK187: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 1.36/0.52 thf(func_def_256, type, sK188: !>[X0: $tType]:((tree @ X0 > X0 > X0))).
% 1.36/0.52 thf(func_def_257, type, sK189: !>[X0: $tType]:((tree @ X0 > X0 > tree @ X0))).
% 1.36/0.52 thf(func_def_258, type, sK190: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 1.36/0.52 thf(func_def_259, type, sK191: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 1.36/0.52 thf(func_def_260, type, sK192: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.36/0.52 thf(func_def_261, type, sK193: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.36/0.52 thf(func_def_262, type, sK194: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ X4 > X2))).
% 1.36/0.52 thf(func_def_263, type, sK195: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ X4 > X1))).
% 1.36/0.52 thf(func_def_264, type, sK196: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ X4 > X3))).
% 1.36/0.52 thf(func_def_265, type, sK197: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ X4 > X4))).
% 1.36/0.52 thf(func_def_266, type, sK198: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ X4 > X0))).
% 1.36/0.52 thf(func_def_267, type, sK199: !>[X0: $tType]:((set @ X0 > (X0 > $o) > (X0 > $o) > X0))).
% 1.36/0.52 thf(func_def_268, type, sK200: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.36/0.52 thf(func_def_269, type, sK201: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.36/0.52 thf(func_def_270, type, sK202: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X1 > X2 > (X0 > X1 > X2 > $o) > X0))).
% 1.36/0.52 thf(func_def_271, type, sK203: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X1 > X2 > (X0 > X1 > X2 > $o) > X1))).
% 1.36/0.52 thf(func_def_272, type, sK204: !>[X0: $tType, X1: $tType]:(((X0 > product_prod @ X1 @ X0) > (X0 > tree @ X1) > (X0 > $o) > X1))).
% 1.36/0.52 thf(func_def_273, type, sK205: !>[X0: $tType, X1: $tType]:(((X0 > product_prod @ X1 @ X0) > (X0 > tree @ X1) > (X0 > $o) > X0))).
% 1.36/0.52 thf(func_def_274, type, sK206: !>[X0: $tType, X1: $tType]:(((X0 > product_prod @ X1 @ X0) > (X0 > tree @ X1) > (X0 > $o) > X0))).
% 1.36/0.52 thf(func_def_275, type, sK207: !>[X0: $tType, X1: $tType]:(((X0 > product_prod @ X1 @ X0) > (X0 > tree @ X1) > (X0 > $o) > X0))).
% 1.36/0.52 thf(func_def_276, type, sK208: !>[X0: $tType, X1: $tType]:(((X0 > product_prod @ X1 @ X0) > (X0 > tree @ X1) > (X0 > $o) > X1))).
% 1.36/0.52 thf(func_def_277, type, sK209: !>[X0: $tType, X1: $tType]:(((X0 > product_prod @ X1 @ X0) > (X0 > tree @ X1) > (X0 > $o) > X0))).
% 1.36/0.52 thf(func_def_278, type, sK210: !>[X0: $tType, X1: $tType]:(((X0 > multiset @ X1) > (X0 > tree @ X1) > X0))).
% 1.36/0.52 thf(func_def_279, type, sK211: !>[X0: $tType, X1: $tType]:(((X0 > multiset @ X1) > (X0 > product_prod @ X1 @ X0) > (X0 > $o) > X0))).
% 1.36/0.52 thf(func_def_280, type, sK212: !>[X0: $tType, X1: $tType]:(((X0 > multiset @ X1) > (X0 > product_prod @ X1 @ X0) > (X0 > $o) > X0))).
% 1.36/0.52 thf(func_def_281, type, sK213: !>[X0: $tType, X1: $tType]:(((X0 > multiset @ X1) > (X0 > product_prod @ X1 @ X0) > (X0 > $o) > X1))).
% 1.36/0.52 thf(func_def_282, type, sK214: !>[X0: $tType, X1: $tType]:(((X0 > tree @ X1) > (X0 > $o) > X0))).
% 1.36/0.52 thf(func_def_283, type, sK215: !>[X0: $tType, X1: $tType]:(((X0 > tree @ X1) > (list @ X1 > X0) > list @ X1))).
% 1.36/0.52 thf(f11,axiom,(
% 1.36/0.52 ! [X0 : $tType] : (linorder @ X0 => (is_heap @ X0 @ e @ X0))),
% 1.36/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_is__heap_Osimps_I1_J)).
% 1.36/0.52 thf(f17,axiom,(
% 1.36/0.52 ! [X0 : $tType] : (linorder @ X0 => ! [X1 : X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0))) = ((product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0))))),
% 1.36/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_removeLeaf_Osimps_I1_J)).
% 1.36/0.52 thf(f26,axiom,(
% 1.36/0.52 ! [X0 : $tType,X1 : $tType,X2 : X0,X3 : X1] : (((product_snd @ X0 @ X1 @ (product_Pair @ X0 @ X1 @ X2 @ X3))) = X3)),
% 1.36/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_snd__conv)).
% 1.36/0.52 thf(f277,axiom,(
% 1.36/0.52 linorder @ a),
% 1.36/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0)).
% 1.36/0.52 thf(f278,conjecture,(
% 1.36/0.52 (is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))),
% 1.36/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.36/0.52 thf(f279,negated_conjecture,(
% 1.36/0.52 ~(is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))),
% 1.36/0.52 inference(negated_conjecture,[status(cth)],[f278])).
% 1.36/0.52 thf(f333,plain,(
% 1.36/0.52 ! [X0 : $tType] : (linorder @ X0 => (is_heap @ X0 @ e @ X0))),
% 1.36/0.52 inference(rectify,[],[f11])).
% 1.36/0.52 thf(f334,plain,(
% 1.36/0.52 ! [X0 : $tType] : ((linorder @ X0 = $true) => (((is_heap @ X0 @ e @ X0)) = $true))),
% 1.36/0.52 inference(fool_elimination,[],[f333])).
% 1.36/0.52 thf(f517,plain,(
% 1.36/0.52 ! [X0 : $tType] : (linorder @ X0 => ! [X1 : X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0))) = ((product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0))))),
% 1.36/0.52 inference(rectify,[],[f17])).
% 1.36/0.52 thf(f518,plain,(
% 1.36/0.52 ! [X0 : $tType] : ((linorder @ X0 = $true) => ! [X1 : X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0))) = ((product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0))))),
% 1.36/0.52 inference(fool_elimination,[],[f517])).
% 1.36/0.52 thf(f549,plain,(
% 1.36/0.52 linorder @ a),
% 1.36/0.52 inference(rectify,[],[f277])).
% 1.36/0.52 thf(f550,plain,(
% 1.36/0.52 (linorder @ a = $true)),
% 1.36/0.52 inference(fool_elimination,[],[f549])).
% 1.36/0.52 thf(f683,plain,(
% 1.36/0.52 ~(is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))),
% 1.36/0.52 inference(rectify,[],[f279])).
% 1.36/0.52 thf(f684,plain,(
% 1.36/0.52 ~ (((is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))) = $true)),
% 1.36/0.52 inference(fool_elimination,[],[f683])).
% 1.36/0.52 thf(f769,plain,(
% 1.36/0.52 (((is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))) != $true)),
% 1.36/0.52 inference(flattening,[],[f684])).
% 1.36/0.52 thf(f780,plain,(
% 1.36/0.52 ! [X0 : $tType] : ((linorder @ X0 != $true) | ! [X1 : X0] : (((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0))) = ((product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0))))),
% 1.36/0.52 inference(ennf_transformation,[],[f518])).
% 1.36/0.52 thf(f785,plain,(
% 1.36/0.52 ! [X0 : $tType] : ((((is_heap @ X0 @ e @ X0)) = $true) | (linorder @ X0 != $true))),
% 1.36/0.52 inference(ennf_transformation,[],[f334])).
% 1.36/0.52 thf(f1350,plain,(
% 1.36/0.52 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : X1] : ((((product_snd @ X0 @ X1 @ (product_Pair @ X0 @ X1 @ X2 @ X3))) = X3)) )),
% 1.36/0.52 inference(cnf_transformation,[],[f26])).
% 1.36/0.52 thf(f1468,plain,(
% 1.36/0.52 (((is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))) != $true)),
% 1.36/0.52 inference(cnf_transformation,[],[f769])).
% 1.36/0.52 thf(f1508,plain,(
% 1.36/0.52 ( ! [X0 : $tType] : ((((is_heap @ X0 @ e @ X0)) = $true) | (linorder @ X0 != $true)) )),
% 1.36/0.52 inference(cnf_transformation,[],[f785])).
% 1.36/0.52 thf(f1529,plain,(
% 1.36/0.52 ( ! [X0 : $tType,X1 : X0] : ((((heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0))) = ((product_Pair @ X0 @ tree @ X0 @ X1 @ e @ X0))) | (linorder @ X0 != $true)) )),
% 1.36/0.52 inference(cnf_transformation,[],[f780])).
% 1.36/0.52 thf(f1659,plain,(
% 1.36/0.52 (linorder @ a = $true)),
% 1.36/0.52 inference(cnf_transformation,[],[f550])).
% 1.36/0.52 thf(f1810,definition,(
% 1.36/0.52 spl216_7 <=> (linorder @ a = $true)),
% 1.36/0.52 introduced(definition,[new_symbols(definition,[spl216_7])],[avatar_definition])).
% 1.36/0.52 thf(f1812,plain,(
% 1.36/0.52 (linorder @ a = $true) | ~spl216_7),
% 1.36/0.52 inference(avatar_component_clause,[],[f1810])).
% 1.36/0.52 thf(f1813,plain,(
% 1.36/0.52 spl216_7),
% 1.36/0.52 inference(avatar_split_clause,[],[f1659,f1810])).
% 1.36/0.52 thf(f1815,definition,(
% 1.36/0.52 spl216_8 <=> (((is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))) = $true)),
% 1.36/0.52 introduced(definition,[new_symbols(definition,[spl216_8])],[avatar_definition])).
% 1.36/0.52 thf(f1817,plain,(
% 1.36/0.52 (((is_heap @ a @ (product_snd @ a @ tree @ a @ (heapIm970386777veLeaf @ a @ (t @ a @ v @ e @ a @ e @ a))))) != $true) | spl216_8),
% 1.36/0.52 inference(avatar_component_clause,[],[f1815])).
% 1.36/0.52 thf(f1818,plain,(
% 1.36/0.52 ~spl216_8),
% 1.36/0.52 inference(avatar_split_clause,[],[f1468,f1815])).
% 1.36/0.52 thf(f1864,plain,(
% 1.36/0.52 ( ! [X0 : $tType,X1 : X0] : ((e @ X0 = ((product_snd @ X0 @ tree @ X0 @ (heapIm970386777veLeaf @ X0 @ (t @ X0 @ X1 @ e @ X0 @ e @ X0))))) | (linorder @ X0 != $true)) )),
% 1.36/0.52 inference(superposition,[],[f1350,f1529])).
% 1.36/0.52 thf(f3118,plain,(
% 1.36/0.52 (((is_heap @ a @ e @ a)) != $true) | (linorder @ a != $true) | spl216_8),
% 1.36/0.52 inference(superposition,[],[f1817,f1864])).
% 1.36/0.52 thf(f3127,plain,(
% 1.36/0.52 (linorder @ a != $true) | spl216_8),
% 1.36/0.52 inference(forward_subsumption_resolution,[],[f3118,f1508])).
% 1.36/0.52 thf(f3128,plain,(
% 1.36/0.52 $false | (~spl216_7 | spl216_8)),
% 1.36/0.52 inference(forward_subsumption_resolution,[],[f3127,f1812])).
% 1.36/0.52 thf(f3129,plain,(
% 1.36/0.52 ~spl216_7 | spl216_8),
% 1.36/0.52 inference(avatar_contradiction_clause,[],[f3128])).
% 1.36/0.52 cnf(s7, plain, spl216_7, inference(sat_conversion,[],[f1813])).
% 1.36/0.52 cnf(s8, plain, ~spl216_8, inference(sat_conversion,[],[f1818])).
% 1.36/0.52 cnf(s35, plain, ~spl216_7 | spl216_8, inference(sat_conversion,[],[f3129])).
% 1.36/0.52 cnf(s36, plain, ~spl216_7, inference(rat,[],[s35,s8])).
% 1.36/0.52 cnf(s37, plain, $false, inference(rat,[],[s7,s36])).
% 1.36/0.52 thf(f3130,plain,(
% 1.36/0.52 $false),
% 1.36/0.52 inference(avatar_sat_refutation,[],[s37])).
% 1.36/0.52 % SZS output end Proof for theBenchmark
% 1.36/0.52 % (3123088)------------------------------
% 1.36/0.52 % (3123088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.52 % (3123088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.52 % (3123088)CaDiCaL version: 2.1.3
% 1.36/0.52 % (3123088)Termination reason: Refutation
% 1.36/0.52 % (3123088)Time elapsed: 0.207 s
% 1.36/0.52 % (3123088)Peak memory usage: 16 MB
% 1.36/0.52 % (3123088)Instructions burned: 410 (million)
% 1.36/0.52 % (3123057)Success in time 0.268 s
% 1.36/0.52 % Vampire exiting
%------------------------------------------------------------------------------