%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP075^2 : 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 : n013.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 08:08:14 AM UTC 2026
% Result : Theorem 0.73s 0.39s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP075^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n013.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 19:47:06 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.25 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
% 0.73/0.39 % (2569654)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.73/0.39 % (2569664)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2552349946:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.73/0.39 % (2569665)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.73/0.39 % (2569665)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
% 0.73/0.39 % (2569660)lrs+10_16_si=on:nwc=1.5:random_seed=2585216308:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.73/0.39 % (2569659)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2591811670:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.73/0.39 % (2569662)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=2336650312: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)
% 0.73/0.39 % (2569661)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3911652698:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.73/0.39 % (2569663)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4014764393:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.73/0.39 % (2569665)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=1113458715:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.73/0.39 % (2569661)Instruction limit reached!
% 0.73/0.39 % (2569661)------------------------------
% 0.73/0.39 % (2569661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569661)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569661)Termination reason: Instruction limit
% 0.73/0.39 % (2569661)Termination phase: shuffling
% 0.73/0.39 % (2569661)Time elapsed: 0.002 s
% 0.73/0.39 % (2569661)Peak memory usage: 10 MB
% 0.73/0.39 % (2569661)Instructions burned: 4 (million)
% 0.73/0.39 % (2569660)Instruction limit reached!
% 0.73/0.39 % (2569660)------------------------------
% 0.73/0.39 % (2569660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569660)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569660)Termination reason: Instruction limit
% 0.73/0.39 % (2569660)Termination phase: Property scanning
% 0.73/0.39 % (2569660)Time elapsed: 0.009 s
% 0.73/0.39 % (2569660)Peak memory usage: 10 MB
% 0.73/0.39 % (2569660)Instructions burned: 18 (million)
% 0.73/0.39 % (2569663)Instruction limit reached!
% 0.73/0.39 % (2569663)------------------------------
% 0.73/0.39 % (2569663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569663)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569663)Termination reason: Instruction limit
% 0.73/0.39 % (2569663)Termination phase: Unused predicate definition removal
% 0.73/0.39 % (2569663)Time elapsed: 0.012 s
% 0.73/0.39 % (2569663)Peak memory usage: 10 MB
% 0.73/0.39 % (2569663)Instructions burned: 25 (million)
% 0.73/0.39 % (2569664)Instruction limit reached!
% 0.73/0.39 % (2569664)------------------------------
% 0.73/0.39 % (2569664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569664)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569664)Termination reason: Instruction limit
% 0.73/0.39 % (2569664)Termination phase: Property scanning
% 0.73/0.39 % (2569664)Time elapsed: 0.020 s
% 0.73/0.39 % (2569664)Peak memory usage: 12 MB
% 0.73/0.39 % (2569664)Instructions burned: 80 (million)
% 0.73/0.39 % (2569673)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3306529536:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.39 % (2569676)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=576305607:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.73/0.39 % (2569673)Instruction limit reached!
% 0.73/0.39 % (2569673)------------------------------
% 0.73/0.39 % (2569673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569673)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569673)Termination reason: Instruction limit
% 0.73/0.39 % (2569673)Termination phase: shuffling
% 0.73/0.39 % (2569673)Time elapsed: 0.002 s
% 0.73/0.39 % (2569673)Peak memory usage: 10 MB
% 0.73/0.39 % (2569673)Instructions burned: 3 (million)
% 0.73/0.39 % (2569675)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.39 % (2569676)Instruction limit reached!
% 0.73/0.39 % (2569676)------------------------------
% 0.73/0.39 % (2569676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569676)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569676)Termination reason: Instruction limit
% 0.73/0.39 % (2569676)Termination phase: Property scanning
% 0.73/0.39 % (2569676)Time elapsed: 0.004 s
% 0.73/0.39 % (2569676)Peak memory usage: 10 MB
% 0.73/0.39 % (2569676)Instructions burned: 14 (million)
% 0.73/0.39 % (2569674)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=216424722:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.73/0.39 % (2569675)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1051438928:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.73/0.39 % (2569675)Instruction limit reached!
% 0.73/0.39 % (2569675)------------------------------
% 0.73/0.39 % (2569675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569675)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569675)Termination reason: Instruction limit
% 0.73/0.39 % (2569675)Termination phase: shuffling
% 0.73/0.39 % (2569675)Time elapsed: 0.004 s
% 0.73/0.39 % (2569675)Peak memory usage: 10 MB
% 0.73/0.39 % (2569675)Instructions burned: 9 (million)
% 0.73/0.39 % (2569680)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=1263291864:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.73/0.39 % (2569674)Instruction limit reached!
% 0.73/0.39 % (2569674)------------------------------
% 0.73/0.39 % (2569674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569674)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569674)Termination reason: Instruction limit
% 0.73/0.39 % (2569674)Termination phase: shuffling
% 0.73/0.39 % (2569674)Time elapsed: 0.008 s
% 0.73/0.39 % (2569674)Peak memory usage: 10 MB
% 0.73/0.39 % (2569674)Instructions burned: 6 (million)
% 0.73/0.39 % (2569679)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
% 0.73/0.39 % (2569659)Instruction limit reached!
% 0.73/0.39 % (2569659)------------------------------
% 0.73/0.39 % (2569659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569679)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.39 % (2569659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569659)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569659)Termination reason: Instruction limit
% 0.73/0.39 % (2569659)Termination phase: Saturation
% 0.73/0.39 % (2569659)Time elapsed: 0.041 s
% 0.73/0.39 % (2569659)Peak memory usage: 13 MB
% 0.73/0.39 % (2569659)Instructions burned: 88 (million)
% 0.73/0.39 % (2569679)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=176792046:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.73/0.39 % (2569679)Instruction limit reached!
% 0.73/0.39 % (2569679)------------------------------
% 0.73/0.39 % (2569679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569679)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569679)Termination reason: Instruction limit
% 0.73/0.39 % (2569679)Termination phase: Property scanning
% 0.73/0.39 % (2569679)Time elapsed: 0.014 s
% 0.73/0.39 % (2569679)Peak memory usage: 10 MB
% 0.73/0.39 % (2569679)Instructions burned: 30 (million)
% 0.73/0.39 % (2569680)Instruction limit reached!
% 0.73/0.39 % (2569680)------------------------------
% 0.73/0.39 % (2569680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569680)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569680)Termination reason: Instruction limit
% 0.73/0.39 % (2569680)Termination phase: Property scanning
% 0.73/0.39 % (2569680)Time elapsed: 0.020 s
% 0.73/0.39 % (2569680)Peak memory usage: 11 MB
% 0.73/0.39 % (2569680)Instructions burned: 88 (million)
% 0.73/0.39 % (2569686)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2016122945:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.73/0.39 % (2569685)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.73/0.39 % (2569683)lrs+10_1_si=on:cs=on:random_seed=4020920151:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.73/0.39 % (2569689)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2399918189:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.73/0.39 % (2569685)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=209594720:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.39 % (2569683)Instruction limit reached!
% 0.73/0.39 % (2569683)------------------------------
% 0.73/0.39 % (2569683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569683)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569683)Termination reason: Instruction limit
% 0.73/0.39 % (2569683)Termination phase: shuffling
% 0.73/0.39 % (2569683)Time elapsed: 0.005 s
% 0.73/0.39 % (2569683)Peak memory usage: 10 MB
% 0.73/0.39 % (2569683)Instructions burned: 9 (million)
% 0.73/0.39 % (2569685)Instruction limit reached!
% 0.73/0.39 % (2569685)------------------------------
% 0.73/0.39 % (2569685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569685)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569685)Termination reason: Instruction limit
% 0.73/0.39 % (2569685)Termination phase: shuffling
% 0.73/0.39 % (2569685)Time elapsed: 0.003 s
% 0.73/0.39 % (2569685)Peak memory usage: 10 MB
% 0.73/0.39 % (2569685)Instructions burned: 3 (million)
% 0.73/0.39 % (2569688)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=314951678:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.73/0.39 % (2569665) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2569654-2569665"...
% 0.73/0.39 % (2569689)Instruction limit reached!
% 0.73/0.39 % (2569689)------------------------------
% 0.73/0.39 % (2569689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569689)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569689)Termination reason: Instruction limit
% 0.73/0.39 % (2569689)Termination phase: Preprocessing 1
% 0.73/0.39 % (2569689)Time elapsed: 0.007 s
% 0.73/0.39 % (2569689)Peak memory usage: 11 MB
% 0.73/0.39 % (2569689)Instructions burned: 28 (million)
% 0.73/0.39 % (2569686)Instruction limit reached!
% 0.73/0.39 % (2569686)------------------------------
% 0.73/0.39 % (2569686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (2569686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (2569686)CaDiCaL version: 2.1.3
% 0.73/0.39 % (2569686)Termination reason: Instruction limit
% 0.73/0.39 % (2569686)Termination phase: Saturation
% 0.73/0.39 % (2569686)Time elapsed: 0.020 s
% 0.73/0.39 % (2569686)Peak memory usage: 13 MB
% 0.73/0.39 % (2569686)Instructions burned: 38 (million)
% 0.73/0.39 % (2569665)...printing done.
% 0.73/0.39 % (2569665)Refutation found. Thanks to Tanya!
% 0.73/0.39 % SZS status Theorem for theBenchmark
% 0.73/0.39 % SZS output start Proof for theBenchmark
% 0.73/0.39 thf(type_def_5, type, hF_Mirabelle_hf: $tType).
% 0.73/0.39 thf(type_def_6, type, set: $tType > $tType).
% 0.73/0.39 thf(type_def_7, type, nat: $tType).
% 0.73/0.39 thf(type_def_8, type, int: $tType).
% 0.73/0.39 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.73/0.39 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_3, type, minus: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_4, type, bot: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_5, type, group_add: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_6, type, lattice: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_7, type, semiring_1: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_8, type, semiring_char_0: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_9, type, order_bot: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_10, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_11, type, semilattice_inf: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_12, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_13, type, bounded_lattice_bot: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_14, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_15, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_16, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_17, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.73/0.39 thf(func_def_18, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.73/0.39 thf(func_def_19, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.73/0.39 thf(func_def_20, type, hF_Mirabelle_HBall: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > $o)).
% 0.73/0.39 thf(func_def_21, type, hF_Mirabelle_HBex: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > $o)).
% 0.73/0.39 thf(func_def_22, type, hF_Mir1687042746ollect: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_23, type, hF_Mirabelle_HF: (set @ hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_24, type, hF_Mirabelle_HInter: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_25, type, hF_Mirabelle_HUnion: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_26, type, hF_Mir569462966eplace: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_27, type, hF_Mirabelle_RepFun: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_28, type, hF_Mirabelle_Replace: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_29, type, hF_Mirabelle_hcard: (hF_Mirabelle_hf > nat)).
% 0.73/0.39 thf(func_def_30, type, hF_Mirabelle_Abs_hf: (nat > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_31, type, hF_Mirabelle_hfset: (hF_Mirabelle_hf > set @ hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_32, type, hF_Mirabelle_hfst: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_33, type, hF_Mirabelle_hinsert: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_34, type, hF_Mirabelle_hmem: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o)).
% 0.73/0.39 thf(func_def_35, type, hF_Mirabelle_hpair: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_36, type, hF_Mirabelle_hsnd: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_37, type, hF_Mirabelle_hsplit: !>[X0: $tType]:(((hF_Mirabelle_hf > hF_Mirabelle_hf > X0) > hF_Mirabelle_hf > X0))).
% 0.73/0.39 thf(func_def_38, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.73/0.39 thf(func_def_39, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.73/0.39 thf(func_def_40, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.73/0.39 thf(func_def_41, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 0.73/0.39 thf(func_def_42, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.73/0.39 thf(func_def_43, type, least: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > X0))).
% 0.73/0.39 thf(func_def_44, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.73/0.39 thf(func_def_45, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.73/0.39 thf(func_def_46, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.73/0.39 thf(func_def_47, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.73/0.39 thf(func_def_48, type, a: hF_Mirabelle_hf).
% 0.73/0.39 thf(func_def_49, type, p: $o).
% 0.73/0.39 thf(func_def_51, type, db0: !>[X0: $tType]:(X0)).
% 0.73/0.39 thf(func_def_52, type, db1: !>[X0: $tType]:(X0)).
% 0.73/0.39 thf(func_def_53, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.73/0.39 thf(func_def_56, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.73/0.39 thf(func_def_57, type, vIMP: ($o > $o > $o)).
% 0.73/0.39 thf(func_def_58, type, vAND: ($o > $o > $o)).
% 0.73/0.39 thf(func_def_59, type, db2: !>[X0: $tType]:(X0)).
% 0.73/0.39 thf(func_def_60, type, vNOT: ($o > $o)).
% 0.73/0.39 thf(func_def_61, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.73/0.39 thf(func_def_62, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.73/0.39 thf(func_def_63, type, db3: !>[X0: $tType]:(X0)).
% 0.73/0.39 thf(func_def_64, type, vOR: ($o > $o > $o)).
% 0.73/0.39 thf(func_def_65, type, db4: !>[X0: $tType]:(X0)).
% 0.73/0.39 thf(func_def_66, type, sP0: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > $o))).
% 0.73/0.39 thf(func_def_67, type, sP1: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > $o)).
% 0.73/0.39 thf(func_def_68, type, sP2: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 0.73/0.39 thf(func_def_69, type, sP3: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > $o)).
% 0.73/0.39 thf(func_def_70, type, sP4: ((nat > $o) > $o)).
% 0.73/0.39 thf(func_def_71, type, sP5: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > $o)).
% 0.73/0.39 thf(func_def_72, type, sP6: ((hF_Mirabelle_hf > $o) > $o)).
% 0.73/0.39 thf(func_def_73, type, sP7: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 0.73/0.39 thf(func_def_74, type, sK8: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 0.73/0.39 thf(func_def_75, type, sK9: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_76, type, sK10: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_77, type, sK11: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 0.73/0.39 thf(func_def_78, type, sK12: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.73/0.39 thf(func_def_79, type, sK13: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 0.73/0.39 thf(func_def_80, type, sK14: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.73/0.39 thf(func_def_81, type, sK15: ((hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_82, type, sK16: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_83, type, sK17: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_84, type, sK18: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_85, type, sK19: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_86, type, sK20: (int > nat)).
% 0.73/0.39 thf(func_def_87, type, sK21: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.73/0.39 thf(func_def_88, type, sK22: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.73/0.39 thf(func_def_89, type, sK23: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 0.73/0.39 thf(func_def_90, type, sK24: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_91, type, sK25: (int > nat)).
% 0.73/0.39 thf(func_def_92, type, sK26: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_93, type, sK27: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_94, type, sK28: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_95, type, sK29: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_96, type, sK30: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_97, type, sK31: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.73/0.39 thf(func_def_98, type, sK32: ((nat > $o) > nat)).
% 0.73/0.39 thf(func_def_99, type, sK33: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_100, type, sK34: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_101, type, sK35: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.73/0.39 thf(func_def_102, type, sK36: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.73/0.39 thf(func_def_103, type, sK37: (int > nat)).
% 0.73/0.39 thf(func_def_104, type, sK38: (int > nat)).
% 0.73/0.39 thf(func_def_105, type, sK39: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_106, type, sK40: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_107, type, sK41: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_108, type, sK42: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_109, type, sK43: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_110, type, sK44: !>[X0: $tType]:((set @ X0 > X0))).
% 0.73/0.39 thf(func_def_111, type, sK45: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.73/0.39 thf(func_def_112, type, sK46: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_113, type, sK47: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_114, type, sK48: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_115, type, sK49: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_116, type, sK50: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_117, type, sK51: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.73/0.39 thf(func_def_118, type, sK52: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.73/0.39 thf(func_def_119, type, sK53: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_120, type, sF54: $o).
% 0.73/0.39 thf(func_def_121, type, sF55: $o).
% 0.73/0.39 thf(func_def_122, type, sF56: $o).
% 0.73/0.39 thf(func_def_123, type, sK57: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_124, type, sK58: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_125, type, sK59: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_126, type, sK60: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.73/0.39 thf(func_def_127, type, sK61: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_128, type, sK62: hF_Mirabelle_hf).
% 0.73/0.39 thf(func_def_129, type, sK63: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_130, type, sK64: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_131, type, sK65: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_132, type, sK66: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_133, type, sK67: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_134, type, sK68: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_135, type, sK69: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_136, type, sK70: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_137, type, sK71: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.73/0.39 thf(func_def_138, type, sK72: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_139, type, sK73: ($o > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_140, type, sK74: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_141, type, sK75: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_142, type, sK76: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_143, type, sK77: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_144, type, sK78: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_145, type, sK79: hF_Mirabelle_hf).
% 0.73/0.39 thf(func_def_146, type, sK80: (hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_147, type, sK81: (hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_148, type, sK82: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.73/0.39 thf(func_def_149, type, sK83: !>[X0: $tType]:((set @ X0 > X0))).
% 0.73/0.39 thf(func_def_150, type, sK84: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_151, type, sK85: !>[X0: $tType]:((set @ X0 > X0))).
% 0.73/0.39 thf(func_def_152, type, sK86: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.73/0.39 thf(func_def_153, type, sK87: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.73/0.39 thf(func_def_154, type, sK88: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_155, type, sK89: (hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_156, type, sK90: (hF_Mirabelle_hf > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_157, type, sK91: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_158, type, sK92: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_159, type, sK93: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_160, type, sK94: ((hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_161, type, sK95: (hF_Mirabelle_hf > (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(func_def_162, type, sK96: ((hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf)).
% 0.73/0.39 thf(f6,axiom,(
% 0.73/0.39 ((^[X0 : hF_Mirabelle_hf, X1 : (hF_Mirabelle_hf > $o)] : (? [X2 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X2 @ X0) & (X1 @ X2)))) = hF_Mirabelle_HBex)),
% 0.73/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_HBex__def)).
% 0.73/0.39 thf(f39,axiom,(
% 0.73/0.39 (hF_Mirabelle_hmem = (^[X0 : hF_Mirabelle_hf, X1 : hF_Mirabelle_hf] : ((member @ hF_Mirabelle_hf @ X0 @ (hF_Mirabelle_hfset @ X1)))))),
% 0.73/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_hmem__def)).
% 0.73/0.39 thf(f310,conjecture,(
% 0.73/0.39 (((hF_Mirabelle_HBex @ a @ (^[X0 : hF_Mirabelle_hf] : (p)))) = ? [X0 : hF_Mirabelle_hf] : (hF_Mirabelle_hmem @ X0 @ a) & p)),
% 0.73/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.73/0.39 thf(f311,negated_conjecture,(
% 0.73/0.39 ~ (((hF_Mirabelle_HBex @ a @ (^[X0 : hF_Mirabelle_hf] : (p)))) = ? [X0 : hF_Mirabelle_hf] : (hF_Mirabelle_hmem @ X0 @ a) & p)),
% 0.73/0.39 inference(negated_conjecture,[status(cth)],[f310])).
% 0.73/0.39 thf(f368,plain,(
% 0.73/0.39 (hF_Mirabelle_hmem = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))))),
% 0.73/0.39 inference(fool_elimination,[],[f39])).
% 0.73/0.39 thf(f552,plain,(
% 0.73/0.39 ~ (((hF_Mirabelle_HBex @ a @ (^[X0 : hF_Mirabelle_hf] : (p)))) = ? [X1 : hF_Mirabelle_hf] : (hF_Mirabelle_hmem @ X1 @ a) & p)),
% 0.73/0.39 inference(rectify,[],[f311])).
% 0.73/0.39 thf(f553,plain,(
% 0.73/0.39 ~ (((p & (?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (hF_Mirabelle_hmem @ Y0 @ a))))) = ((hF_Mirabelle_HBex @ a @ (^[Y0 : hF_Mirabelle_hf]: (p)))))),
% 0.73/0.39 inference(fool_elimination,[],[f552])).
% 0.73/0.39 thf(f563,plain,(
% 0.73/0.39 ((^[X0 : hF_Mirabelle_hf, X1 : (hF_Mirabelle_hf > $o)] : (? [X2 : hF_Mirabelle_hf] : ((hF_Mirabelle_hmem @ X2 @ X0) & (X1 @ X2)))) = hF_Mirabelle_HBex)),
% 0.73/0.39 inference(rectify,[],[f6])).
% 0.73/0.39 thf(f564,plain,(
% 0.73/0.39 (hF_Mirabelle_HBex = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf > $o]: (?? @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((Y1 @ Y2) & (hF_Mirabelle_hmem @ Y2 @ Y0))))))))),
% 0.73/0.39 inference(fool_elimination,[],[f563])).
% 0.73/0.39 thf(f827,plain,(
% 0.73/0.39 (((p & (?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (hF_Mirabelle_hmem @ Y0 @ a))))) != ((hF_Mirabelle_HBex @ a @ (^[Y0 : hF_Mirabelle_hf]: (p)))))),
% 0.73/0.39 inference(flattening,[],[f553])).
% 0.73/0.39 thf(f1357,plain,(
% 0.73/0.39 (((p & (?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (hF_Mirabelle_hmem @ Y0 @ a))))) != ((hF_Mirabelle_HBex @ a @ (^[Y0 : hF_Mirabelle_hf]: (p)))))),
% 0.73/0.39 inference(cnf_transformation,[],[f827])).
% 0.73/0.39 thf(f1412,plain,(
% 0.73/0.39 (hF_Mirabelle_HBex = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf > $o]: (?? @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((Y1 @ Y2) & (hF_Mirabelle_hmem @ Y2 @ Y0))))))))),
% 0.73/0.39 inference(cnf_transformation,[],[f564])).
% 0.73/0.39 thf(f1545,plain,(
% 0.73/0.39 (hF_Mirabelle_hmem = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ Y1))))))),
% 0.73/0.39 inference(cnf_transformation,[],[f368])).
% 0.73/0.39 thf(f1565,plain,(
% 0.73/0.39 (hF_Mirabelle_HBex = (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf > $o]: (?? @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((Y1 @ Y2) & ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y0))))))))),
% 0.73/0.39 inference(definition_unfolding,[],[f1412,f1545])).
% 0.73/0.39 thf(f1607,plain,(
% 0.73/0.39 ((((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf > $o]: (?? @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((Y1 @ Y2) & ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y0))))))) @ a @ (^[Y0 : hF_Mirabelle_hf]: (p)))) != ((p & (?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ a))))))),
% 0.73/0.39 inference(definition_unfolding,[],[f1357,f1545,f1565])).
% 0.73/0.39 thf(f1670,definition,(
% 0.73/0.39 (sF54 = (((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf > $o]: (?? @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((Y1 @ Y2) & ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y0))))))) @ a @ (^[Y0 : hF_Mirabelle_hf]: (p)))))),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[sF54])],[function_definition])).
% 0.73/0.39 thf(f1671,plain,(
% 0.73/0.39 ((((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf > $o]: (?? @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((Y1 @ Y2) & ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y0))))))) @ a @ (^[Y0 : hF_Mirabelle_hf]: (p)))) = sF54)),
% 0.73/0.39 inference(reorient_equations,[],[f1670])).
% 0.73/0.39 thf(f1672,definition,(
% 0.73/0.39 (sF55 = ((?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ a)))))),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[sF55])],[function_definition])).
% 0.73/0.39 thf(f1673,definition,(
% 0.73/0.39 (sF56 = ((p & sF55)))),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[sF56])],[function_definition])).
% 0.73/0.39 thf(f1674,plain,(
% 0.73/0.39 (((p & sF55)) = sF56)),
% 0.73/0.39 inference(reorient_equations,[],[f1673])).
% 0.73/0.39 thf(f1675,plain,(
% 0.73/0.39 (sF56 != sF54)),
% 0.73/0.39 inference(definition_folding,[],[f1607,f1674,f1672,f1671])).
% 0.73/0.39 thf(f1738,plain,(
% 0.73/0.39 ($false = sF54) | ((((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf > $o]: (?? @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((Y1 @ Y2) & ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y0))))))) @ a @ (^[Y0 : hF_Mirabelle_hf]: (p)))) = $true)),
% 0.73/0.39 inference(iff_proxy_clausification,[],[f1671])).
% 0.73/0.39 thf(f1739,plain,(
% 0.73/0.39 ((((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf > $o]: (?? @ hF_Mirabelle_hf @ (^[Y2 : hF_Mirabelle_hf]: ((Y1 @ Y2) & ((^[Y3 : hF_Mirabelle_hf]: ((^[Y4 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y3 @ (hF_Mirabelle_hfset @ Y4))))) @ Y2 @ Y0))))))) @ a @ (^[Y0 : hF_Mirabelle_hf]: (p)))) = $false) | ($true = sF54)),
% 0.73/0.39 inference(iff_proxy_clausification,[],[f1671])).
% 0.73/0.39 thf(f1740,plain,(
% 0.73/0.39 ($true = sF54) | ($false = ((?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (p & (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ a)))))))),
% 0.73/0.39 inference(beta-eta_normalization,[],[f1739])).
% 0.73/0.39 thf(f1741,plain,(
% 0.73/0.39 ( ! [X1 : hF_Mirabelle_hf] : (($true = sF54) | ((((^[Y0 : hF_Mirabelle_hf]: (p & (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ a)))) @ X1)) = $false)) )),
% 0.73/0.39 inference(pi_proxy_clausification,[],[f1740])).
% 0.73/0.39 thf(f1742,plain,(
% 0.73/0.39 ( ! [X1 : hF_Mirabelle_hf] : ((((p & (member @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ a)))) = $false) | ($true = sF54)) )),
% 0.73/0.39 inference(beta-eta_normalization,[],[f1741])).
% 0.73/0.39 thf(f1743,plain,(
% 0.73/0.39 ( ! [X1 : hF_Mirabelle_hf] : (($true = sF54) | (p = $false) | ($false = ((member @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ a))))) )),
% 0.73/0.39 inference(and_proxy_clausification,[],[f1742])).
% 0.73/0.39 thf(f1744,plain,(
% 0.73/0.39 ($true = ((?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: (p & (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ a))))))) | ($false = sF54)),
% 0.73/0.39 inference(beta-eta_normalization,[],[f1738])).
% 0.73/0.39 thf(f1745,plain,(
% 0.73/0.39 ($true = (((^[Y0 : hF_Mirabelle_hf]: (p & (member @ hF_Mirabelle_hf @ Y0 @ (hF_Mirabelle_hfset @ a)))) @ sK62))) | ($false = sF54)),
% 0.73/0.39 inference(sigma_proxy_clausification,[],[f1744])).
% 0.73/0.39 thf(f1746,plain,(
% 0.73/0.39 ($false = sF54) | ($true = ((p & (member @ hF_Mirabelle_hf @ sK62 @ (hF_Mirabelle_hfset @ a)))))),
% 0.73/0.39 inference(beta-eta_normalization,[],[f1745])).
% 0.73/0.39 thf(f1747,plain,(
% 0.73/0.39 ($true = ((member @ hF_Mirabelle_hf @ sK62 @ (hF_Mirabelle_hfset @ a)))) | ($false = sF54)),
% 0.73/0.39 inference(and_proxy_clausification,[],[f1746])).
% 0.73/0.39 thf(f1748,plain,(
% 0.73/0.39 (p = $true) | ($false = sF54)),
% 0.73/0.39 inference(and_proxy_clausification,[],[f1746])).
% 0.73/0.39 thf(f1795,plain,(
% 0.73/0.39 ($true = ((p & sF55))) | ($false = sF56)),
% 0.73/0.39 inference(iff_proxy_clausification,[],[f1674])).
% 0.73/0.39 thf(f1796,plain,(
% 0.73/0.39 ($true = sF56) | ($false = ((p & sF55)))),
% 0.73/0.39 inference(iff_proxy_clausification,[],[f1674])).
% 0.73/0.39 thf(f1797,plain,(
% 0.73/0.39 (sF55 = $false) | (p = $false) | ($true = sF56)),
% 0.73/0.39 inference(and_proxy_clausification,[],[f1796])).
% 0.73/0.39 thf(f1798,plain,(
% 0.73/0.39 (sF55 = $true) | ($false = sF56)),
% 0.73/0.39 inference(and_proxy_clausification,[],[f1795])).
% 0.73/0.39 thf(f1799,plain,(
% 0.73/0.39 (p = $true) | ($false = sF56)),
% 0.73/0.39 inference(and_proxy_clausification,[],[f1795])).
% 0.73/0.39 thf(f2019,plain,(
% 0.73/0.39 (sF55 = $true) | ($false = ((?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ a)))))),
% 0.73/0.39 inference(iff_proxy_clausification,[],[f1672])).
% 0.73/0.39 thf(f2020,plain,(
% 0.73/0.39 ($true = ((?? @ hF_Mirabelle_hf @ (^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ a))))) | (sF55 = $false)),
% 0.73/0.39 inference(iff_proxy_clausification,[],[f1672])).
% 0.73/0.39 thf(f2021,plain,(
% 0.73/0.39 (sF55 = $false) | ($true = (((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ a)) @ sK79)))),
% 0.73/0.39 inference(sigma_proxy_clausification,[],[f2020])).
% 0.73/0.39 thf(f2022,plain,(
% 0.73/0.39 (sF55 = $false) | ($true = ((member @ hF_Mirabelle_hf @ sK79 @ (hF_Mirabelle_hfset @ a))))),
% 0.73/0.39 inference(beta-eta_normalization,[],[f2021])).
% 0.73/0.39 thf(f2023,plain,(
% 0.73/0.39 ( ! [X1 : hF_Mirabelle_hf] : (((((^[Y0 : hF_Mirabelle_hf]: ((^[Y1 : hF_Mirabelle_hf]: ((^[Y2 : hF_Mirabelle_hf]: (member @ hF_Mirabelle_hf @ Y1 @ (hF_Mirabelle_hfset @ Y2))))) @ Y0 @ a)) @ X1)) = $false) | (sF55 = $true)) )),
% 0.73/0.39 inference(pi_proxy_clausification,[],[f2019])).
% 0.73/0.39 thf(f2024,plain,(
% 0.73/0.39 ( ! [X1 : hF_Mirabelle_hf] : (($false = ((member @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ a)))) | (sF55 = $true)) )),
% 0.73/0.39 inference(beta-eta_normalization,[],[f2023])).
% 0.73/0.39 thf(f2028,plain,(
% 0.73/0.39 ($true = sF56) | ($true = sF54)),
% 0.73/0.39 inference(xor_proxy_clausification,[],[f1675])).
% 0.73/0.39 thf(f2029,plain,(
% 0.73/0.39 ($false = sF54) | ($false = sF56)),
% 0.73/0.39 inference(xor_proxy_clausification,[],[f1675])).
% 0.73/0.39 thf(f2342,definition,(
% 0.73/0.39 spl97_1 <=> ($true = sF54)),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[spl97_1])],[avatar_definition])).
% 0.73/0.39 thf(f2344,plain,(
% 0.73/0.39 ($true = sF54) | ~spl97_1),
% 0.73/0.39 inference(avatar_component_clause,[],[f2342])).
% 0.73/0.39 thf(f2346,definition,(
% 0.73/0.39 spl97_2 <=> (p = $false)),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[spl97_2])],[avatar_definition])).
% 0.73/0.39 thf(f2348,plain,(
% 0.73/0.39 (p = $false) | ~spl97_2),
% 0.73/0.39 inference(avatar_component_clause,[],[f2346])).
% 0.73/0.39 thf(f2350,definition,(
% 0.73/0.39 spl97_3 <=> ! [X1 : hF_Mirabelle_hf] : ($false = ((member @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ a))))),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[spl97_3])],[avatar_definition])).
% 0.73/0.39 thf(f2351,plain,(
% 0.73/0.39 ( ! [X1 : hF_Mirabelle_hf] : (($false = ((member @ hF_Mirabelle_hf @ X1 @ (hF_Mirabelle_hfset @ a))))) ) | ~spl97_3),
% 0.73/0.39 inference(avatar_component_clause,[],[f2350])).
% 0.73/0.39 thf(f2352,plain,(
% 0.73/0.39 spl97_1 | spl97_2 | spl97_3),
% 0.73/0.39 inference(avatar_split_clause,[],[f1743,f2350,f2346,f2342])).
% 0.73/0.39 thf(f2354,definition,(
% 0.73/0.39 spl97_4 <=> (p = $true)),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[spl97_4])],[avatar_definition])).
% 0.73/0.39 thf(f2356,plain,(
% 0.73/0.39 (p = $true) | ~spl97_4),
% 0.73/0.39 inference(avatar_component_clause,[],[f2354])).
% 0.73/0.39 thf(f2358,definition,(
% 0.73/0.39 spl97_5 <=> ($false = sF54)),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[spl97_5])],[avatar_definition])).
% 0.73/0.39 thf(f2360,plain,(
% 0.73/0.39 ($false = sF54) | ~spl97_5),
% 0.73/0.39 inference(avatar_component_clause,[],[f2358])).
% 0.73/0.39 thf(f2361,plain,(
% 0.73/0.39 spl97_4 | spl97_5),
% 0.73/0.39 inference(avatar_split_clause,[],[f1748,f2358,f2354])).
% 0.73/0.39 thf(f2363,definition,(
% 0.73/0.39 spl97_6 <=> ($true = ((member @ hF_Mirabelle_hf @ sK62 @ (hF_Mirabelle_hfset @ a))))),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[spl97_6])],[avatar_definition])).
% 0.73/0.39 thf(f2365,plain,(
% 0.73/0.39 ($true = ((member @ hF_Mirabelle_hf @ sK62 @ (hF_Mirabelle_hfset @ a)))) | ~spl97_6),
% 0.73/0.39 inference(avatar_component_clause,[],[f2363])).
% 0.73/0.39 thf(f2366,plain,(
% 0.73/0.39 spl97_6 | spl97_5),
% 0.73/0.39 inference(avatar_split_clause,[],[f1747,f2358,f2363])).
% 0.73/0.39 thf(f2368,definition,(
% 0.73/0.39 spl97_7 <=> (sF55 = $false)),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[spl97_7])],[avatar_definition])).
% 0.73/0.39 thf(f2370,plain,(
% 0.73/0.39 (sF55 = $false) | ~spl97_7),
% 0.73/0.39 inference(avatar_component_clause,[],[f2368])).
% 0.73/0.39 thf(f2372,definition,(
% 0.73/0.39 spl97_8 <=> ($true = sF56)),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[spl97_8])],[avatar_definition])).
% 0.73/0.39 thf(f2374,plain,(
% 0.73/0.39 ($true = sF56) | ~spl97_8),
% 0.73/0.39 inference(avatar_component_clause,[],[f2372])).
% 0.73/0.39 thf(f2375,plain,(
% 0.73/0.39 spl97_2 | spl97_7 | spl97_8),
% 0.73/0.39 inference(avatar_split_clause,[],[f1797,f2372,f2368,f2346])).
% 0.73/0.39 thf(f2377,definition,(
% 0.73/0.39 spl97_9 <=> ($false = sF56)),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[spl97_9])],[avatar_definition])).
% 0.73/0.39 thf(f2379,plain,(
% 0.73/0.39 ($false = sF56) | ~spl97_9),
% 0.73/0.39 inference(avatar_component_clause,[],[f2377])).
% 0.73/0.39 thf(f2380,plain,(
% 0.73/0.39 spl97_9 | spl97_4),
% 0.73/0.39 inference(avatar_split_clause,[],[f1799,f2354,f2377])).
% 0.73/0.39 thf(f2382,definition,(
% 0.73/0.39 spl97_10 <=> (sF55 = $true)),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[spl97_10])],[avatar_definition])).
% 0.73/0.39 thf(f2384,plain,(
% 0.73/0.39 (sF55 = $true) | ~spl97_10),
% 0.73/0.39 inference(avatar_component_clause,[],[f2382])).
% 0.73/0.39 thf(f2385,plain,(
% 0.73/0.39 spl97_9 | spl97_10),
% 0.73/0.39 inference(avatar_split_clause,[],[f1798,f2382,f2377])).
% 0.73/0.39 thf(f2402,definition,(
% 0.73/0.39 spl97_15 <=> ($true = ((member @ hF_Mirabelle_hf @ sK79 @ (hF_Mirabelle_hfset @ a))))),
% 0.73/0.39 introduced(definition,[new_symbols(definition,[spl97_15])],[avatar_definition])).
% 0.73/0.39 thf(f2404,plain,(
% 0.73/0.39 ($true = ((member @ hF_Mirabelle_hf @ sK79 @ (hF_Mirabelle_hfset @ a)))) | ~spl97_15),
% 0.73/0.39 inference(avatar_component_clause,[],[f2402])).
% 0.73/0.39 thf(f2405,plain,(
% 0.73/0.39 spl97_7 | spl97_15),
% 0.73/0.39 inference(avatar_split_clause,[],[f2022,f2402,f2368])).
% 0.73/0.39 thf(f2406,plain,(
% 0.73/0.39 spl97_3 | spl97_10),
% 0.73/0.39 inference(avatar_split_clause,[],[f2024,f2382,f2350])).
% 0.73/0.39 thf(f2407,plain,(
% 0.73/0.39 spl97_5 | spl97_9),
% 0.73/0.39 inference(avatar_split_clause,[],[f2029,f2377,f2358])).
% 0.73/0.39 thf(f2408,plain,(
% 0.73/0.39 spl97_8 | spl97_1),
% 0.73/0.39 inference(avatar_split_clause,[],[f2028,f2342,f2372])).
% 0.73/0.39 thf(f2410,plain,(
% 0.73/0.39 ($true = $false) | (~spl97_8 | ~spl97_9)),
% 0.73/0.39 inference(forward_demodulation,[],[f2379,f2374])).
% 0.73/0.39 thf(f2411,plain,(
% 0.73/0.39 $false | (~spl97_8 | ~spl97_9)),
% 0.73/0.39 inference(trivial_inequality_removal,[],[f2410])).
% 0.73/0.39 thf(f2412,plain,(
% 0.73/0.39 ~spl97_8 | ~spl97_9),
% 0.73/0.39 inference(avatar_contradiction_clause,[],[f2411])).
% 0.73/0.39 thf(f2414,plain,(
% 0.73/0.39 ($true = $false) | (~spl97_7 | ~spl97_10)),
% 0.73/0.39 inference(forward_demodulation,[],[f2384,f2370])).
% 0.73/0.39 thf(f2415,plain,(
% 0.73/0.39 $false | (~spl97_7 | ~spl97_10)),
% 0.73/0.39 inference(trivial_inequality_removal,[],[f2414])).
% 0.73/0.39 thf(f2416,plain,(
% 0.73/0.39 ~spl97_7 | ~spl97_10),
% 0.73/0.39 inference(avatar_contradiction_clause,[],[f2415])).
% 0.73/0.39 thf(f2437,plain,(
% 0.73/0.39 ($true = $false) | (~spl97_1 | ~spl97_5)),
% 0.73/0.39 inference(forward_demodulation,[],[f2360,f2344])).
% 0.73/0.39 thf(f2438,plain,(
% 0.73/0.39 $false | (~spl97_1 | ~spl97_5)),
% 0.73/0.39 inference(trivial_inequality_removal,[],[f2437])).
% 0.73/0.39 thf(f2439,plain,(
% 0.73/0.39 ~spl97_1 | ~spl97_5),
% 0.73/0.39 inference(avatar_contradiction_clause,[],[f2438])).
% 0.73/0.39 thf(f2761,plain,(
% 0.73/0.39 ($true = $false) | (~spl97_3 | ~spl97_15)),
% 0.73/0.39 inference(forward_demodulation,[],[f2404,f2351])).
% 0.73/0.39 thf(f2762,plain,(
% 0.73/0.39 $false | (~spl97_3 | ~spl97_15)),
% 0.73/0.39 inference(trivial_inequality_removal,[],[f2761])).
% 0.73/0.39 thf(f2763,plain,(
% 0.73/0.39 ~spl97_3 | ~spl97_15),
% 0.73/0.39 inference(avatar_contradiction_clause,[],[f2762])).
% 0.73/0.39 thf(f2764,plain,(
% 0.73/0.39 ($true = $false) | (~spl97_2 | ~spl97_4)),
% 0.73/0.39 inference(forward_demodulation,[],[f2348,f2356])).
% 0.73/0.39 thf(f2765,plain,(
% 0.73/0.39 $false | (~spl97_2 | ~spl97_4)),
% 0.73/0.39 inference(trivial_inequality_removal,[],[f2764])).
% 0.73/0.39 thf(f2766,plain,(
% 0.73/0.39 ~spl97_2 | ~spl97_4),
% 0.73/0.39 inference(avatar_contradiction_clause,[],[f2765])).
% 0.73/0.39 thf(f2837,plain,(
% 0.73/0.39 ($true = $false) | (~spl97_3 | ~spl97_6)),
% 0.73/0.39 inference(forward_demodulation,[],[f2365,f2351])).
% 0.73/0.40 thf(f2838,plain,(
% 0.73/0.40 $false | (~spl97_3 | ~spl97_6)),
% 0.73/0.40 inference(trivial_inequality_removal,[],[f2837])).
% 0.73/0.40 thf(f2839,plain,(
% 0.73/0.40 ~spl97_3 | ~spl97_6),
% 0.73/0.40 inference(avatar_contradiction_clause,[],[f2838])).
% 0.73/0.40 cnf(s1, plain, spl97_1 | spl97_2 | spl97_3, inference(sat_conversion,[],[f2352])).
% 0.73/0.40 cnf(s2, plain, spl97_4 | spl97_5, inference(sat_conversion,[],[f2361])).
% 0.73/0.40 cnf(s3, plain, spl97_5 | spl97_6, inference(sat_conversion,[],[f2366])).
% 0.73/0.40 cnf(s4, plain, spl97_2 | spl97_7 | spl97_8, inference(sat_conversion,[],[f2375])).
% 0.73/0.40 cnf(s5, plain, spl97_4 | spl97_9, inference(sat_conversion,[],[f2380])).
% 0.73/0.40 cnf(s6, plain, spl97_9 | spl97_10, inference(sat_conversion,[],[f2385])).
% 0.73/0.40 cnf(s10, plain, spl97_7 | spl97_15, inference(sat_conversion,[],[f2405])).
% 0.73/0.40 cnf(s11, plain, spl97_3 | spl97_10, inference(sat_conversion,[],[f2406])).
% 0.73/0.40 cnf(s12, plain, spl97_5 | spl97_9, inference(sat_conversion,[],[f2407])).
% 0.73/0.40 cnf(s13, plain, spl97_1 | spl97_8, inference(sat_conversion,[],[f2408])).
% 0.73/0.40 cnf(s15, plain, ~spl97_8 | ~spl97_9, inference(sat_conversion,[],[f2412])).
% 0.73/0.40 cnf(s16, plain, ~spl97_7 | ~spl97_10, inference(sat_conversion,[],[f2416])).
% 0.73/0.40 cnf(s22, plain, ~spl97_1 | ~spl97_5, inference(sat_conversion,[],[f2439])).
% 0.73/0.40 cnf(s34, plain, ~spl97_3 | ~spl97_15, inference(sat_conversion,[],[f2763])).
% 0.73/0.40 cnf(s35, plain, ~spl97_2 | ~spl97_4, inference(sat_conversion,[],[f2766])).
% 0.73/0.40 cnf(s38, plain, ~spl97_3 | ~spl97_6, inference(sat_conversion,[],[f2839])).
% 0.73/0.40 cnf(s39, plain, spl97_1, inference(rat,[],[s34,s1,s10,s35,s16,s5,s6,s15,s13])).
% 0.73/0.40 cnf(s40, plain, ~spl97_5, inference(rat,[],[s22,s39])).
% 0.73/0.40 cnf(s41, plain, spl97_9, inference(rat,[],[s12,s40])).
% 0.73/0.40 cnf(s42, plain, spl97_6, inference(rat,[],[s3,s40])).
% 0.73/0.40 cnf(s43, plain, spl97_4, inference(rat,[],[s2,s40])).
% 0.73/0.40 cnf(s45, plain, ~spl97_8, inference(rat,[],[s15,s41])).
% 0.73/0.40 cnf(s46, plain, ~spl97_3, inference(rat,[],[s38,s42])).
% 0.73/0.40 cnf(s47, plain, ~spl97_2, inference(rat,[],[s35,s43])).
% 0.73/0.40 cnf(s49, plain, spl97_10, inference(rat,[],[s11,s46])).
% 0.73/0.40 cnf(s50, plain, spl97_7, inference(rat,[],[s4,s45,s47])).
% 0.73/0.40 cnf(s51, plain, $false, inference(rat,[],[s16,s49,s50])).
% 0.73/0.40 thf(f2840,plain,(
% 0.73/0.40 $false),
% 0.73/0.40 inference(avatar_sat_refutation,[],[s51])).
% 0.73/0.40 % SZS output end Proof for theBenchmark
% 0.73/0.40 % (2569665)------------------------------
% 0.73/0.40 % (2569665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.40 % (2569665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.40 % (2569665)CaDiCaL version: 2.1.3
% 0.73/0.40 % (2569665)Termination reason: Refutation
% 0.73/0.40 % (2569665)Time elapsed: 0.080 s
% 0.73/0.40 % (2569665)Peak memory usage: 15 MB
% 0.73/0.40 % (2569665)Instructions burned: 155 (million)
% 0.73/0.40 % (2569654)Success in time 0.131 s
% 0.73/0.40 % Vampire exiting
%------------------------------------------------------------------------------