%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP197^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 08:08:46 AM UTC 2026
% Result : Theorem 1.15s 0.43s
% Output : Refutation 1.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP197^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 20:10:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running higher-order theorem proving
% 0.08/0.16 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.24 % (624470)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.46/0.24 % (624482)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.46/0.24 % (624482)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
% 0.46/0.24 % (624480)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3003923300:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.46/0.24 % (624477)lrs+10_16_si=on:nwc=1.5:random_seed=2946381535:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.46/0.24 % (624476)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1357233250:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.46/0.24 % (624479)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=2905307988: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)
% 0.46/0.24 % (624481)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1138298869:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.46/0.24 % (624478)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4030209821:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.46/0.24 % (624482)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=2974425105:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.46/0.24 % (624478)Instruction limit reached!
% 0.46/0.24 % (624478)------------------------------
% 0.46/0.24 % (624478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (624478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (624478)CaDiCaL version: 2.1.3
% 0.46/0.24 % (624478)Termination reason: Instruction limit
% 0.46/0.24 % (624478)Termination phase: shuffling
% 0.46/0.24 % (624478)Time elapsed: 0.002 s
% 0.46/0.24 % (624478)Peak memory usage: 10 MB
% 0.46/0.24 % (624478)Instructions burned: 3 (million)
% 0.46/0.24 % (624477)Instruction limit reached!
% 0.46/0.24 % (624477)------------------------------
% 0.46/0.24 % (624477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (624477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (624477)CaDiCaL version: 2.1.3
% 0.46/0.24 % (624477)Termination reason: Instruction limit
% 0.46/0.24 % (624477)Termination phase: Property scanning
% 0.46/0.24 % (624477)Time elapsed: 0.005 s
% 0.46/0.24 % (624477)Peak memory usage: 10 MB
% 0.46/0.24 % (624477)Instructions burned: 21 (million)
% 0.46/0.24 % (624480)Instruction limit reached!
% 0.46/0.24 % (624480)------------------------------
% 0.46/0.24 % (624480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (624480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (624480)CaDiCaL version: 2.1.3
% 0.46/0.24 % (624480)Termination reason: Instruction limit
% 0.46/0.24 % (624480)Termination phase: Property scanning
% 0.46/0.24 % (624480)Time elapsed: 0.006 s
% 0.46/0.24 % (624480)Peak memory usage: 10 MB
% 0.46/0.24 % (624480)Instructions burned: 25 (million)
% 0.46/0.24 % (624490)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2154474136:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.46/0.24 % (624490)Instruction limit reached!
% 0.46/0.24 % (624490)------------------------------
% 0.46/0.24 % (624490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (624490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (624490)CaDiCaL version: 2.1.3
% 0.46/0.24 % (624490)Termination reason: Instruction limit
% 0.46/0.24 % (624490)Termination phase: shuffling
% 0.46/0.24 % (624490)Time elapsed: 0.001 s
% 0.46/0.24 % (624490)Peak memory usage: 10 MB
% 0.46/0.24 % (624490)Instructions burned: 4 (million)
% 0.46/0.24 % (624492)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.46/0.24 % (624491)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4090614680:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.46/0.26 % (624492)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=334162421:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.46/0.26 % (624491)Instruction limit reached!
% 0.46/0.26 % (624491)------------------------------
% 0.46/0.26 % (624491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.26 % (624491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.26 % (624491)CaDiCaL version: 2.1.3
% 0.46/0.26 % (624491)Termination reason: Instruction limit
% 0.46/0.26 % (624491)Termination phase: shuffling
% 0.46/0.26 % (624491)Time elapsed: 0.001 s
% 0.46/0.26 % (624491)Peak memory usage: 10 MB
% 0.46/0.26 % (624491)Instructions burned: 5 (million)
% 0.46/0.26 % (624492)Instruction limit reached!
% 0.46/0.26 % (624492)------------------------------
% 0.46/0.26 % (624492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.26 % (624492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.26 % (624492)CaDiCaL version: 2.1.3
% 0.46/0.26 % (624492)Termination reason: Instruction limit
% 0.46/0.26 % (624492)Termination phase: shuffling
% 0.46/0.26 % (624492)Time elapsed: 0.002 s
% 0.46/0.26 % (624492)Peak memory usage: 10 MB
% 0.46/0.26 % (624492)Instructions burned: 10 (million)
% 0.46/0.26 % (624481)Instruction limit reached!
% 0.46/0.26 % (624481)------------------------------
% 0.46/0.26 % (624481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.26 % (624481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.26 % (624481)CaDiCaL version: 2.1.3
% 0.46/0.26 % (624481)Termination reason: Instruction limit
% 0.46/0.26 % (624481)Termination phase: Property scanning
% 0.46/0.26 % (624481)Time elapsed: 0.020 s
% 0.46/0.26 % (624481)Peak memory usage: 12 MB
% 0.46/0.26 % (624481)Instructions burned: 79 (million)
% 0.46/0.26 % (624476)Instruction limit reached!
% 0.46/0.26 % (624476)------------------------------
% 0.46/0.26 % (624476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.26 % (624476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.26 % (624476)CaDiCaL version: 2.1.3
% 0.46/0.26 % (624476)Termination reason: Instruction limit
% 0.46/0.26 % (624476)Termination phase: Property scanning
% 0.46/0.26 % (624476)Time elapsed: 0.022 s
% 0.46/0.26 % (624476)Peak memory usage: 12 MB
% 0.46/0.26 % (624476)Instructions burned: 89 (million)
% 0.46/0.26 % (624494)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2785450359:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.46/0.26 % (624497)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
% 0.46/0.26 % (624497)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.46/0.26 % (624497)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3110407621:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.46/0.26 % (624494)Instruction limit reached!
% 0.46/0.26 % (624494)------------------------------
% 0.46/0.26 % (624494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.26 % (624494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.26 % (624494)CaDiCaL version: 2.1.3
% 0.46/0.26 % (624494)Termination reason: Instruction limit
% 0.46/0.26 % (624494)Termination phase: shuffling
% 0.46/0.26 % (624494)Time elapsed: 0.004 s
% 0.46/0.26 % (624494)Peak memory usage: 10 MB
% 0.46/0.26 % (624494)Instructions burned: 15 (million)
% 0.46/0.26 % (624498)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=854695069:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.46/0.26 % (624499)lrs+10_1_si=on:cs=on:random_seed=852734644:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.46/0.26 % (624501)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.46/0.28 % (624501)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=158959919:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.46/0.28 % (624497)Instruction limit reached!
% 0.46/0.28 % (624497)------------------------------
% 0.46/0.28 % (624497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.28 % (624497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.28 % (624497)CaDiCaL version: 2.1.3
% 0.46/0.28 % (624497)Termination reason: Instruction limit
% 0.46/0.28 % (624497)Termination phase: shuffling
% 0.46/0.28 % (624497)Time elapsed: 0.007 s
% 0.46/0.28 % (624497)Peak memory usage: 10 MB
% 0.46/0.28 % (624497)Instructions burned: 29 (million)
% 0.46/0.28 % (624499)Instruction limit reached!
% 0.46/0.28 % (624499)------------------------------
% 0.46/0.28 % (624499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.28 % (624499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.28 % (624499)CaDiCaL version: 2.1.3
% 0.46/0.28 % (624499)Termination reason: Instruction limit
% 0.46/0.28 % (624499)Termination phase: shuffling
% 0.46/0.28 % (624499)Time elapsed: 0.004 s
% 0.46/0.28 % (624499)Peak memory usage: 10 MB
% 0.46/0.28 % (624499)Instructions burned: 15 (million)
% 0.46/0.28 % (624501)Instruction limit reached!
% 0.46/0.28 % (624501)------------------------------
% 0.46/0.28 % (624501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.28 % (624501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.28 % (624501)CaDiCaL version: 2.1.3
% 0.46/0.28 % (624501)Termination reason: Instruction limit
% 0.46/0.28 % (624501)Termination phase: shuffling
% 0.46/0.28 % (624501)Time elapsed: 0.002 s
% 0.46/0.28 % (624501)Peak memory usage: 10 MB
% 0.46/0.28 % (624501)Instructions burned: 9 (million)
% 0.46/0.28 % (624506)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2665619378:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.46/0.28 % (624482)Instruction limit reached!
% 0.46/0.28 % (624482)------------------------------
% 0.46/0.28 % (624482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.28 % (624482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.28 % (624482)CaDiCaL version: 2.1.3
% 0.46/0.28 % (624482)Termination reason: Instruction limit
% 0.46/0.28 % (624482)Termination phase: Saturation
% 0.46/0.28 % (624482)Time elapsed: 0.042 s
% 0.46/0.28 % (624482)Peak memory usage: 14 MB
% 0.46/0.28 % (624482)Instructions burned: 160 (million)
% 0.46/0.28 % (624512)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1714027305:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.46/0.28 % (624513)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3627174101:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.46/0.28 % (624515)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1547289798:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.46/0.28 % (624506)Instruction limit reached!
% 0.46/0.28 % (624506)------------------------------
% 0.46/0.28 % (624506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.28 % (624506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.28 % (624506)CaDiCaL version: 2.1.3
% 0.46/0.28 % (624506)Termination reason: Instruction limit
% 0.46/0.28 % (624506)Termination phase: Property scanning
% 0.46/0.28 % (624506)Time elapsed: 0.010 s
% 0.46/0.28 % (624506)Peak memory usage: 11 MB
% 0.46/0.28 % (624506)Instructions burned: 39 (million)
% 0.46/0.28 % (624498)Instruction limit reached!
% 0.46/0.28 % (624498)------------------------------
% 0.46/0.28 % (624498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.28 % (624498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.28 % (624498)CaDiCaL version: 2.1.3
% 0.46/0.28 % (624498)Termination reason: Instruction limit
% 0.46/0.28 % (624498)Termination phase: Property scanning
% 0.46/0.28 % (624498)Time elapsed: 0.021 s
% 0.46/0.28 % (624498)Peak memory usage: 11 MB
% 0.46/0.28 % (624498)Instructions burned: 90 (million)
% 0.46/0.28 % (624515)Instruction limit reached!
% 0.46/0.28 % (624515)------------------------------
% 0.46/0.32 % (624515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.32 % (624515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.32 % (624515)CaDiCaL version: 2.1.3
% 0.46/0.32 % (624515)Termination reason: Instruction limit
% 0.46/0.32 % (624515)Termination phase: shuffling
% 0.46/0.32 % (624515)Time elapsed: 0.004 s
% 0.46/0.32 % (624515)Peak memory usage: 10 MB
% 0.46/0.32 % (624515)Instructions burned: 15 (million)
% 0.46/0.32 % (624513)Instruction limit reached!
% 0.46/0.32 % (624513)------------------------------
% 0.46/0.32 % (624513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.32 % (624513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.32 % (624513)CaDiCaL version: 2.1.3
% 0.46/0.32 % (624513)Termination reason: Instruction limit
% 0.46/0.32 % (624513)Termination phase: Property scanning
% 0.46/0.32 % (624513)Time elapsed: 0.006 s
% 0.46/0.32 % (624513)Peak memory usage: 10 MB
% 0.46/0.32 % (624513)Instructions burned: 25 (million)
% 0.46/0.32 % (624520)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2091454184:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.46/0.32 % (624512)Refutation not found, incomplete strategy
% 0.46/0.32 % (624512)------------------------------
% 0.46/0.32 % (624512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.32 % (624512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.32 % (624512)CaDiCaL version: 2.1.3
% 0.46/0.32 % (624512)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.32 % (624512)Time elapsed: 0.013 s
% 0.46/0.32 % (624512)Peak memory usage: 13 MB
% 0.46/0.32 % (624512)Instructions burned: 47 (million)
% 0.46/0.32 % (624512)------------------------------
% 0.46/0.32 % (624512)------------------------------
% 0.46/0.32 % (624527)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1045226044:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.46/0.32 % (624528)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1053163609:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.46/0.32 % (624530)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=540786373:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.46/0.32 % (624528)Instruction limit reached!
% 0.46/0.32 % (624528)------------------------------
% 0.46/0.32 % (624528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.32 % (624528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.32 % (624528)CaDiCaL version: 2.1.3
% 0.46/0.32 % (624528)Termination reason: Instruction limit
% 0.46/0.32 % (624528)Termination phase: shuffling
% 0.46/0.32 % (624528)Time elapsed: 0.001 s
% 0.46/0.32 % (624528)Peak memory usage: 10 MB
% 0.46/0.32 % (624528)Instructions burned: 2 (million)
% 0.46/0.32 % (624531)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=552072120:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.46/0.32 % (624527)Instruction limit reached!
% 0.46/0.32 % (624527)------------------------------
% 0.46/0.32 % (624527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.32 % (624527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.32 % (624527)CaDiCaL version: 2.1.3
% 0.46/0.32 % (624527)Termination reason: Instruction limit
% 0.46/0.32 % (624527)Termination phase: shuffling
% 0.46/0.32 % (624527)Time elapsed: 0.004 s
% 0.46/0.32 % (624527)Peak memory usage: 10 MB
% 0.46/0.32 % (624527)Instructions burned: 14 (million)
% 0.46/0.32 % (624531)Instruction limit reached!
% 0.46/0.32 % (624531)------------------------------
% 0.46/0.32 % (624531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.32 % (624531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.32 % (624531)CaDiCaL version: 2.1.3
% 0.46/0.32 % (624531)Termination reason: Instruction limit
% 0.46/0.32 % (624531)Termination phase: Property scanning
% 0.46/0.32 % (624531)Time elapsed: 0.006 s
% 0.46/0.32 % (624531)Peak memory usage: 10 MB
% 0.46/0.32 % (624531)Instructions burned: 24 (million)
% 0.46/0.32 % (624530)Instruction limit reached!
% 0.46/0.32 % (624530)------------------------------
% 0.46/0.32 % (624530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.35 % (624530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.35 % (624530)CaDiCaL version: 2.1.3
% 1.15/0.35 % (624530)Termination reason: Instruction limit
% 1.15/0.35 % (624530)Termination phase: shuffling
% 1.15/0.35 % (624530)Time elapsed: 0.007 s
% 1.15/0.35 % (624530)Peak memory usage: 10 MB
% 1.15/0.35 % (624530)Instructions burned: 29 (million)
% 1.15/0.35 % (624538)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3274504473:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 1.15/0.35 % (624542)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
% 1.15/0.35 % (624542)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.15/0.35 % (624542)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=1590290845:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.15/0.35 % (624544)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.15/0.35 % (624544)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=3047521990:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.15/0.35 % (624542)Instruction limit reached!
% 1.15/0.35 % (624542)------------------------------
% 1.15/0.35 % (624542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.35 % (624542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.35 % (624542)CaDiCaL version: 2.1.3
% 1.15/0.35 % (624542)Termination reason: Instruction limit
% 1.15/0.35 % (624542)Termination phase: shuffling
% 1.15/0.35 % (624542)Time elapsed: 0.004 s
% 1.15/0.35 % (624542)Peak memory usage: 10 MB
% 1.15/0.35 % (624542)Instructions burned: 16 (million)
% 1.15/0.35 % (624544)Instruction limit reached!
% 1.15/0.35 % (624544)------------------------------
% 1.15/0.35 % (624544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.35 % (624544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.35 % (624544)CaDiCaL version: 2.1.3
% 1.15/0.35 % (624544)Termination reason: Instruction limit
% 1.15/0.35 % (624544)Termination phase: shuffling
% 1.15/0.35 % (624544)Time elapsed: 0.003 s
% 1.15/0.35 % (624544)Peak memory usage: 10 MB
% 1.15/0.35 % (624544)Instructions burned: 11 (million)
% 1.15/0.35 % (624547)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=3900870935:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2999 on theBenchmark for (2999ds/31Mi)
% 1.15/0.35 % (624548)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3437424496:i=7:hud=5:bd=preordered:rtra=on:bet=on_2999 on theBenchmark for (2999ds/7Mi)
% 1.15/0.35 % (624548)Instruction limit reached!
% 1.15/0.35 % (624548)------------------------------
% 1.15/0.35 % (624548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.35 % (624548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.35 % (624548)CaDiCaL version: 2.1.3
% 1.15/0.35 % (624548)Termination reason: Instruction limit
% 1.15/0.35 % (624548)Termination phase: shuffling
% 1.15/0.35 % (624548)Time elapsed: 0.003 s
% 1.15/0.35 % (624548)Peak memory usage: 10 MB
% 1.15/0.35 % (624548)Instructions burned: 11 (million)
% 1.15/0.35 % (624538)Instruction limit reached!
% 1.15/0.35 % (624538)------------------------------
% 1.15/0.35 % (624538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.35 % (624538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.35 % (624538)CaDiCaL version: 2.1.3
% 1.15/0.35 % (624538)Termination reason: Instruction limit
% 1.15/0.35 % (624538)Termination phase: Property scanning
% 1.15/0.35 % (624538)Time elapsed: 0.016 s
% 1.15/0.35 % (624538)Peak memory usage: 11 MB
% 1.15/0.35 % (624538)Instructions burned: 61 (million)
% 1.15/0.35 % (624555)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2037909552:i=23:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 1.15/0.39 % (624557)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3128890709:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/20Mi)
% 1.15/0.39 % (624547)Instruction limit reached!
% 1.15/0.39 % (624547)------------------------------
% 1.15/0.39 % (624547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.39 % (624547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.39 % (624547)CaDiCaL version: 2.1.3
% 1.15/0.39 % (624547)Termination reason: Instruction limit
% 1.15/0.39 % (624547)Termination phase: Property scanning
% 1.15/0.39 % (624547)Time elapsed: 0.008 s
% 1.15/0.39 % (624547)Peak memory usage: 11 MB
% 1.15/0.39 % (624547)Instructions burned: 33 (million)
% 1.15/0.39 % (624562)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2362840050:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.15/0.39 % (624555)Instruction limit reached!
% 1.15/0.39 % (624555)------------------------------
% 1.15/0.39 % (624555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.39 % (624555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.39 % (624555)CaDiCaL version: 2.1.3
% 1.15/0.39 % (624555)Termination reason: Instruction limit
% 1.15/0.39 % (624555)Termination phase: shuffling
% 1.15/0.39 % (624555)Time elapsed: 0.006 s
% 1.15/0.39 % (624555)Peak memory usage: 10 MB
% 1.15/0.39 % (624555)Instructions burned: 26 (million)
% 1.15/0.39 % (624557)Instruction limit reached!
% 1.15/0.39 % (624557)------------------------------
% 1.15/0.39 % (624557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.39 % (624557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.39 % (624557)CaDiCaL version: 2.1.3
% 1.15/0.39 % (624557)Termination reason: Instruction limit
% 1.15/0.39 % (624557)Termination phase: Property scanning
% 1.15/0.39 % (624557)Time elapsed: 0.006 s
% 1.15/0.39 % (624557)Peak memory usage: 10 MB
% 1.15/0.39 % (624557)Instructions burned: 24 (million)
% 1.15/0.39 % (624564)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1468248706:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.15/0.39 % (624568)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2443805035:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.15/0.39 % (624576)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.15/0.39 % (624574)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3959464763:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.15/0.39 % (624576)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1862245690:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.15/0.39 % (624576)Instruction limit reached!
% 1.15/0.39 % (624576)------------------------------
% 1.15/0.39 % (624576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.39 % (624576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.39 % (624576)CaDiCaL version: 2.1.3
% 1.15/0.39 % (624576)Termination reason: Instruction limit
% 1.15/0.39 % (624576)Termination phase: shuffling
% 1.15/0.39 % (624576)Time elapsed: 0.002 s
% 1.15/0.39 % (624576)Peak memory usage: 10 MB
% 1.15/0.39 % (624576)Instructions burned: 7 (million)
% 1.15/0.39 % (624574)Instruction limit reached!
% 1.15/0.39 % (624574)------------------------------
% 1.15/0.39 % (624574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.39 % (624574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.39 % (624574)CaDiCaL version: 2.1.3
% 1.15/0.39 % (624574)Termination reason: Instruction limit
% 1.15/0.39 % (624574)Termination phase: Preprocessing 3
% 1.15/0.39 % (624574)Time elapsed: 0.012 s
% 1.15/0.39 % (624574)Peak memory usage: 11 MB
% 1.15/0.39 % (624574)Instructions burned: 44 (million)
% 1.15/0.39 % (624587)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=647497831:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.15/0.39 % (624588)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=507737830:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.15/0.43 % (624564)Instruction limit reached!
% 1.15/0.43 % (624564)------------------------------
% 1.15/0.43 % (624564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624564)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624564)Termination reason: Instruction limit
% 1.15/0.43 % (624564)Termination phase: Saturation
% 1.15/0.43 % (624564)Time elapsed: 0.038 s
% 1.15/0.43 % (624564)Peak memory usage: 13 MB
% 1.15/0.43 % (624564)Instructions burned: 145 (million)
% 1.15/0.43 % (624520)Instruction limit reached!
% 1.15/0.43 % (624520)------------------------------
% 1.15/0.43 % (624520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624598)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.15/0.43 % (624520)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624520)Termination reason: Instruction limit
% 1.15/0.43 % (624520)Termination phase: Saturation
% 1.15/0.43 % (624520)Time elapsed: 0.091 s
% 1.15/0.43 % (624520)Peak memory usage: 14 MB
% 1.15/0.43 % (624520)Instructions burned: 329 (million)
% 1.15/0.43 % (624568)Instruction limit reached!
% 1.15/0.43 % (624568)------------------------------
% 1.15/0.43 % (624568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624568)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624568)Termination reason: Instruction limit
% 1.15/0.43 % (624568)Termination phase: Saturation
% 1.15/0.43 % (624568)Time elapsed: 0.046 s
% 1.15/0.43 % (624568)Peak memory usage: 13 MB
% 1.15/0.43 % (624568)Instructions burned: 195 (million)
% 1.15/0.43 % (624598)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3988134105:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.15/0.43 % (624598)Instruction limit reached!
% 1.15/0.43 % (624598)------------------------------
% 1.15/0.43 % (624598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624598)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624598)Termination reason: Instruction limit
% 1.15/0.43 % (624598)Termination phase: shuffling
% 1.15/0.43 % (624598)Time elapsed: 0.002 s
% 1.15/0.43 % (624598)Peak memory usage: 10 MB
% 1.15/0.43 % (624598)Instructions burned: 7 (million)
% 1.15/0.43 % (624604)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1749028478:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.15/0.43 % (624605)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2008651832:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.15/0.43 % (624609)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2659340863:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.15/0.43 % (624605)Instruction limit reached!
% 1.15/0.43 % (624605)------------------------------
% 1.15/0.43 % (624605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624605)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624605)Termination reason: Instruction limit
% 1.15/0.43 % (624605)Termination phase: shuffling
% 1.15/0.43 % (624605)Time elapsed: 0.005 s
% 1.15/0.43 % (624605)Peak memory usage: 10 MB
% 1.15/0.43 % (624605)Instructions burned: 20 (million)
% 1.15/0.43 % (624604)Instruction limit reached!
% 1.15/0.43 % (624604)------------------------------
% 1.15/0.43 % (624604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624604)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624604)Termination reason: Instruction limit
% 1.15/0.43 % (624604)Termination phase: Property scanning
% 1.15/0.43 % (624604)Time elapsed: 0.007 s
% 1.15/0.43 % (624604)Peak memory usage: 10 MB
% 1.15/0.43 % (624604)Instructions burned: 24 (million)
% 1.15/0.43 % (624619)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1959990014:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.15/0.43 % (624587)Instruction limit reached!
% 1.15/0.43 % (624587)------------------------------
% 1.15/0.43 % (624587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624587)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624587)Termination reason: Instruction limit
% 1.15/0.43 % (624587)Termination phase: Saturation
% 1.15/0.43 % (624587)Time elapsed: 0.055 s
% 1.15/0.43 % (624587)Peak memory usage: 14 MB
% 1.15/0.43 % (624587)Instructions burned: 183 (million)
% 1.15/0.43 % (624588)Instruction limit reached!
% 1.15/0.43 % (624588)------------------------------
% 1.15/0.43 % (624588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624588)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624588)Termination reason: Instruction limit
% 1.15/0.43 % (624588)Termination phase: Saturation
% 1.15/0.43 % (624588)Time elapsed: 0.047 s
% 1.15/0.43 % (624588)Peak memory usage: 14 MB
% 1.15/0.43 % (624588)Instructions burned: 172 (million)
% 1.15/0.43 % (624621)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3892443061:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.15/0.43 % (624479)Instruction limit reached!
% 1.15/0.43 % (624479)------------------------------
% 1.15/0.43 % (624479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624479)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624479)Termination reason: Instruction limit
% 1.15/0.43 % (624479)Termination phase: Saturation
% 1.15/0.43 % (624479)Time elapsed: 0.184 s
% 1.15/0.43 % (624479)Peak memory usage: 16 MB
% 1.15/0.43 % (624479)Instructions burned: 636 (million)
% 1.15/0.43 % (624629)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1270814059:i=480:rtra=on_2998 on theBenchmark for (2998ds/480Mi)
% 1.15/0.43 % (624632)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3644700156:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/21Mi)
% 1.15/0.43 % (624621)Instruction limit reached!
% 1.15/0.43 % (624621)------------------------------
% 1.15/0.43 % (624621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624621)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624621)Termination reason: Instruction limit
% 1.15/0.43 % (624621)Termination phase: Naming
% 1.15/0.43 % (624621)Time elapsed: 0.012 s
% 1.15/0.43 % (624621)Peak memory usage: 11 MB
% 1.15/0.43 % (624621)Instructions burned: 45 (million)
% 1.15/0.43 % (624632)Instruction limit reached!
% 1.15/0.43 % (624632)------------------------------
% 1.15/0.43 % (624632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624632)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624632)Termination reason: Instruction limit
% 1.15/0.43 % (624632)Termination phase: Property scanning
% 1.15/0.43 % (624632)Time elapsed: 0.005 s
% 1.15/0.43 % (624632)Peak memory usage: 10 MB
% 1.15/0.43 % (624632)Instructions burned: 21 (million)
% 1.15/0.43 % (624633)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.15/0.43 % (624633)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1998583328:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 1.15/0.43 % (624638)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=65738601:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 1.15/0.43 % (624641)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=187658302:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 1.15/0.43 % (624638)Instruction limit reached!
% 1.15/0.43 % (624638)------------------------------
% 1.15/0.43 % (624638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624638)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624638)Termination reason: Instruction limit
% 1.15/0.43 % (624638)Termination phase: shuffling
% 1.15/0.43 % (624638)Time elapsed: 0.004 s
% 1.15/0.43 % (624638)Peak memory usage: 10 MB
% 1.15/0.43 % (624638)Instructions burned: 14 (million)
% 1.15/0.43 % (624647)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=547621338:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 1.15/0.43 % (624641)Instruction limit reached!
% 1.15/0.43 % (624641)------------------------------
% 1.15/0.43 % (624641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624641)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624641)Termination reason: Instruction limit
% 1.15/0.43 % (624641)Termination phase: SInE selection
% 1.15/0.43 % (624641)Time elapsed: 0.016 s
% 1.15/0.43 % (624641)Peak memory usage: 11 MB
% 1.15/0.43 % (624641)Instructions burned: 68 (million)
% 1.15/0.43 % (624647)Instruction limit reached!
% 1.15/0.43 % (624647)------------------------------
% 1.15/0.43 % (624647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624647)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624647)Termination reason: Instruction limit
% 1.15/0.43 % (624647)Termination phase: Property scanning
% 1.15/0.43 % (624647)Time elapsed: 0.014 s
% 1.15/0.43 % (624647)Peak memory usage: 11 MB
% 1.15/0.43 % (624647)Instructions burned: 53 (million)
% 1.15/0.43 % (624653)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1165349457:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.15/0.43 % (624653)Instruction limit reached!
% 1.15/0.43 % (624653)------------------------------
% 1.15/0.43 % (624653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624653)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624653)Termination reason: Instruction limit
% 1.15/0.43 % (624653)Termination phase: Property scanning
% 1.15/0.43 % (624653)Time elapsed: 0.008 s
% 1.15/0.43 % (624653)Peak memory usage: 10 MB
% 1.15/0.43 % (624653)Instructions burned: 34 (million)
% 1.15/0.43 % (624619) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-624470-624619"...
% 1.15/0.43 % (624658)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1623277055:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 1.15/0.43 % (624619)...printing done.
% 1.15/0.43 % (624619)Refutation found. Thanks to Tanya!
% 1.15/0.43 % SZS status Theorem for theBenchmark
% 1.15/0.43 % SZS output start Proof for theBenchmark
% 1.15/0.43 thf(type_def_5, type, type_M1610475166scheme: $tType).
% 1.15/0.43 thf(type_def_6, type, type_Mirabelle_typ: $tType).
% 1.15/0.43 thf(type_def_7, type, list: $tType > $tType).
% 1.15/0.43 thf(type_def_8, type, set: $tType > $tType).
% 1.15/0.43 thf(type_def_9, type, nat: $tType).
% 1.15/0.43 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 1.15/0.43 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_1, type, type: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_2, type, bot: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_5, type, no_bot: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_6, type, no_top: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_8, type, preorder: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_9, type, order_bot: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_10, type, wellorder: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_11, type, dense_order: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_12, type, semilattice_sup: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_13, type, type_M201404320of_nat: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_14, type, type_M1535146424typ_of: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_15, type, bounde1808546759up_bot: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_16, type, type_M1470978233struct: !>[X0: $tType]:($o)).
% 1.15/0.43 thf(func_def_17, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_18, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.15/0.43 thf(func_def_19, type, semilattice_neutr: !>[X0: $tType]:(((X0 > X0 > X0) > X0 > $o))).
% 1.15/0.43 thf(func_def_20, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.15/0.43 thf(func_def_21, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.15/0.43 thf(func_def_22, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.15/0.43 thf(func_def_23, type, nil: !>[X0: $tType]:(list @ X0)).
% 1.15/0.43 thf(func_def_24, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 1.15/0.43 thf(func_def_25, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.15/0.43 thf(func_def_26, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.15/0.43 thf(func_def_27, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.15/0.43 thf(func_def_28, type, insert2: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.15/0.43 thf(func_def_29, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 1.15/0.43 thf(func_def_30, type, is_singleton: !>[X0: $tType]:((set @ X0 > $o))).
% 1.15/0.43 thf(func_def_31, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 1.15/0.43 thf(func_def_32, type, type_Mirabelle_cod: ((nat > type_Mirabelle_typ) > set @ nat)).
% 1.15/0.43 thf(func_def_33, type, type_Mirabelle_dom: ((nat > type_Mirabelle_typ) > set @ nat)).
% 1.15/0.43 thf(func_def_34, type, type_M17369686_subst: (nat > type_Mirabelle_typ)).
% 1.15/0.43 thf(func_def_35, type, type_M540877363scheme: (type_Mirabelle_typ > type_M1610475166scheme)).
% 1.15/0.43 thf(func_def_36, type, type_M1046766514new_tv: !>[X0: $tType]:((nat > X0 > $o))).
% 1.15/0.43 thf(func_def_37, type, type_M167561660of_nat: !>[X0: $tType]:((nat > X0))).
% 1.15/0.43 thf(func_def_38, type, type_Mirabelle_Fun: (type_Mirabelle_typ > type_Mirabelle_typ > type_Mirabelle_typ)).
% 1.15/0.43 thf(func_def_39, type, type_Mirabelle_TVar: (nat > type_Mirabelle_typ)).
% 1.15/0.43 thf(func_def_40, type, type_M1695911984se_typ: !>[X0: $tType]:(((nat > X0) > (type_Mirabelle_typ > type_Mirabelle_typ > X0) > type_Mirabelle_typ > X0))).
% 1.15/0.43 thf(func_def_41, type, type_M604437996typ_of: !>[X0: $tType]:((X0 > type_Mirabelle_typ))).
% 1.15/0.43 thf(func_def_42, type, type_M1264524676e_BVar: (nat > type_M1610475166scheme)).
% 1.15/0.43 thf(func_def_43, type, type_M91906176e_FVar: (nat > type_M1610475166scheme)).
% 1.15/0.43 thf(func_def_44, type, type_M1518733067e_SFun: (type_M1610475166scheme > type_M1610475166scheme > type_M1610475166scheme)).
% 1.15/0.43 thf(func_def_45, type, type_M697345518scheme: !>[X0: $tType]:(((nat > X0) > (nat > X0) > (type_M1610475166scheme > type_M1610475166scheme > X0) > type_M1610475166scheme > X0))).
% 1.15/0.43 thf(func_def_46, type, type_M1705333808scheme: !>[X0: $tType]:(((nat > X0) > (nat > X0) > (type_M1610475166scheme > type_M1610475166scheme > X0 > X0 > X0) > type_M1610475166scheme > X0))).
% 1.15/0.43 thf(func_def_47, type, type_M353778473_subst: !>[X0: $tType]:(((nat > type_Mirabelle_typ) > X0 > X0))).
% 1.15/0.43 thf(func_def_48, type, type_M779184887und_tv: !>[X0: $tType]:((X0 > set @ nat))).
% 1.15/0.43 thf(func_def_49, type, type_M950795831ree_tv: !>[X0: $tType]:((X0 > set @ nat))).
% 1.15/0.43 thf(func_def_50, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.15/0.43 thf(func_def_51, type, s1: (nat > type_Mirabelle_typ)).
% 1.15/0.43 thf(func_def_52, type, s2: (nat > type_Mirabelle_typ)).
% 1.15/0.43 thf(func_def_53, type, n: nat).
% 1.15/0.43 thf(func_def_54, type, x: nat).
% 1.15/0.43 thf(func_def_58, type, vAND: ($o > $o > $o)).
% 1.15/0.43 thf(func_def_59, type, db1: !>[X0: $tType]:(X0)).
% 1.15/0.43 thf(func_def_60, type, db0: !>[X0: $tType]:(X0)).
% 1.15/0.43 thf(func_def_61, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.15/0.43 thf(func_def_62, type, vNOT: ($o > $o)).
% 1.15/0.43 thf(func_def_63, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.15/0.43 thf(func_def_64, type, vIMP: ($o > $o > $o)).
% 1.15/0.43 thf(func_def_65, type, db3: !>[X0: $tType]:(X0)).
% 1.15/0.43 thf(func_def_66, type, db2: !>[X0: $tType]:(X0)).
% 1.15/0.43 thf(func_def_67, type, vOR: ($o > $o > $o)).
% 1.15/0.43 thf(func_def_68, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.15/0.43 thf(func_def_69, type, db5: !>[X0: $tType]:(X0)).
% 1.15/0.43 thf(func_def_70, type, db4: !>[X0: $tType]:(X0)).
% 1.15/0.43 thf(func_def_71, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.15/0.43 thf(func_def_72, type, sK0: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_73, type, sK1: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_74, type, sK2: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_75, type, sK3: ((nat > type_Mirabelle_typ) > type_M1610475166scheme > (nat > type_Mirabelle_typ) > nat)).
% 1.15/0.43 thf(func_def_76, type, sK4: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.15/0.43 thf(func_def_77, type, sK5: !>[X0: $tType]:((list @ X0 > X0))).
% 1.15/0.43 thf(func_def_78, type, sK6: !>[X0: $tType]:((set @ X0 > X0))).
% 1.15/0.43 thf(func_def_79, type, sK7: !>[X0: $tType]:((set @ X0 > X0))).
% 1.15/0.43 thf(func_def_80, type, sK8: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 1.15/0.43 thf(func_def_81, type, sK9: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_82, type, sK10: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_83, type, sK11: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_84, type, sK12: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_85, type, sK13: !>[X0: $tType]:((set @ X0 > X0))).
% 1.15/0.43 thf(func_def_86, type, sK14: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_87, type, sK15: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.15/0.43 thf(func_def_88, type, sK16: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 1.15/0.43 thf(func_def_89, type, sK17: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 1.15/0.43 thf(func_def_90, type, sK18: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.15/0.43 thf(func_def_91, type, sK19: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.15/0.43 thf(func_def_92, type, sK20: !>[X0: $tType]:((list @ X0 > X0))).
% 1.15/0.43 thf(func_def_93, type, sK21: !>[X0: $tType]:((list @ X0 > X0))).
% 1.15/0.43 thf(func_def_94, type, sK22: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.15/0.43 thf(func_def_95, type, sK23: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.15/0.43 thf(func_def_96, type, sK24: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.15/0.43 thf(func_def_97, type, sK25: !>[X0: $tType]:(((X0 > $o) > set @ X0 > set @ X0 > X0))).
% 1.15/0.43 thf(func_def_98, type, sK26: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_99, type, sK27: !>[X0: $tType]:((set @ X0 > X0 > set @ X0))).
% 1.15/0.43 thf(func_def_100, type, sK28: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1 > X0))).
% 1.15/0.43 thf(func_def_101, type, sK29: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_102, type, sK30: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1))).
% 1.15/0.43 thf(func_def_103, type, sK31: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.15/0.43 thf(func_def_104, type, sK32: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > X1 > X0))).
% 1.15/0.43 thf(func_def_105, type, sK33: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_106, type, sK34: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_107, type, sK35: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.15/0.43 thf(func_def_108, type, sK36: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.15/0.43 thf(func_def_109, type, sK37: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_110, type, sK38: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_111, type, sK39: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_112, type, sK40: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.15/0.43 thf(func_def_113, type, sK41: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_114, type, sK42: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_115, type, sK43: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_116, type, sK44: !>[X0: $tType]:((list @ X0 > X0))).
% 1.15/0.43 thf(func_def_117, type, sK45: !>[X0: $tType]:((list @ X0 > X0))).
% 1.15/0.43 thf(func_def_118, type, sK46: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.15/0.43 thf(func_def_119, type, sK47: !>[X0: $tType]:((list @ X0 > X0))).
% 1.15/0.43 thf(func_def_120, type, sK48: !>[X0: $tType]:((set @ X0 > (X0 > $o) > set @ X0 > X0))).
% 1.15/0.43 thf(func_def_121, type, sK49: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_122, type, sK50: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 1.15/0.43 thf(func_def_123, type, sK51: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.15/0.43 thf(func_def_124, type, sK52: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_125, type, sK53: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.15/0.43 thf(func_def_126, type, sK54: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_127, type, sK55: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 1.15/0.43 thf(func_def_128, type, sK56: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_129, type, sK57: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_130, type, sK58: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.15/0.43 thf(func_def_131, type, sK59: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 1.15/0.43 thf(func_def_132, type, sK60: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_133, type, sK61: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_134, type, sK62: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_135, type, sK63: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_136, type, sK64: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.15/0.43 thf(func_def_137, type, sK65: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.15/0.43 thf(func_def_138, type, sK66: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.15/0.43 thf(func_def_139, type, sK67: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.15/0.43 thf(func_def_140, type, sK68: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.15/0.43 thf(func_def_141, type, sK69: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.15/0.43 thf(func_def_142, type, sK70: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.15/0.43 thf(func_def_143, type, sK71: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.15/0.43 thf(func_def_144, type, sK72: (type_Mirabelle_typ > type_Mirabelle_typ)).
% 1.15/0.43 thf(func_def_145, type, sK73: (type_Mirabelle_typ > type_Mirabelle_typ)).
% 1.15/0.43 thf(func_def_146, type, sK74: (type_Mirabelle_typ > nat)).
% 1.15/0.43 thf(func_def_147, type, sK75: (type_M1610475166scheme > nat)).
% 1.15/0.43 thf(func_def_148, type, sK76: (type_M1610475166scheme > nat)).
% 1.15/0.43 thf(func_def_149, type, sK77: (type_M1610475166scheme > type_M1610475166scheme)).
% 1.15/0.43 thf(func_def_150, type, sK78: (type_M1610475166scheme > type_M1610475166scheme)).
% 1.15/0.43 thf(func_def_151, type, sK79: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.15/0.43 thf(func_def_152, type, sK80: !>[X0: $tType]:((list @ X0 > X0))).
% 1.15/0.43 thf(func_def_153, type, sK81: !>[X0: $tType]:((set @ X0 > X0))).
% 1.15/0.43 thf(func_def_154, type, sK82: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_155, type, sK83: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_156, type, sK84: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_157, type, sK85: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_158, type, sK86: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 1.15/0.43 thf(func_def_159, type, sK87: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 1.15/0.43 thf(func_def_160, type, sK88: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 1.15/0.43 thf(func_def_161, type, sK89: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 1.15/0.43 thf(func_def_162, type, sK90: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 1.15/0.43 thf(func_def_163, type, sK91: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 1.15/0.43 thf(func_def_164, type, sK92: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 1.15/0.43 thf(func_def_165, type, sK93: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.15/0.43 thf(func_def_166, type, sK94: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 1.15/0.43 thf(func_def_167, type, sK95: ((type_Mirabelle_typ > $o) > nat)).
% 1.15/0.43 thf(func_def_168, type, sK96: ((type_Mirabelle_typ > $o) > type_Mirabelle_typ)).
% 1.15/0.43 thf(func_def_169, type, sK97: ((type_Mirabelle_typ > $o) > type_Mirabelle_typ)).
% 1.15/0.43 thf(func_def_170, type, sK98: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_171, type, sK99: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_172, type, sK100: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_173, type, sK101: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_174, type, sK102: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_175, type, sK103: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_176, type, sK104: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_177, type, sK105: (type_M1610475166scheme > type_M1610475166scheme > type_Mirabelle_typ)).
% 1.15/0.43 thf(func_def_178, type, sK106: (type_M1610475166scheme > type_M1610475166scheme > type_Mirabelle_typ)).
% 1.15/0.43 thf(func_def_179, type, sK107: !>[X0: $tType]:((set @ X0 > X0))).
% 1.15/0.43 thf(func_def_180, type, sK108: ((nat > type_Mirabelle_typ) > (nat > type_Mirabelle_typ) > list @ type_M1610475166scheme > nat)).
% 1.15/0.43 thf(func_def_181, type, sK109: ((type_M1610475166scheme > $o) > nat)).
% 1.15/0.43 thf(func_def_182, type, sK110: ((type_M1610475166scheme > $o) > nat)).
% 1.15/0.43 thf(func_def_183, type, sK111: ((type_M1610475166scheme > $o) > type_M1610475166scheme)).
% 1.15/0.43 thf(func_def_184, type, sK112: ((type_M1610475166scheme > $o) > type_M1610475166scheme)).
% 1.15/0.43 thf(func_def_185, type, sK113: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_186, type, sK114: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_187, type, sK115: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_188, type, sK116: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_189, type, sK117: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_190, type, sK118: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_191, type, sK119: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_192, type, sK120: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_193, type, sK121: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_194, type, sK122: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_195, type, sK123: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_196, type, sK124: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_197, type, sK125: !>[X0: $tType]:((X0 > X0))).
% 1.15/0.43 thf(func_def_198, type, sK126: ((nat > type_Mirabelle_typ) > list @ type_M1610475166scheme > (nat > type_Mirabelle_typ) > nat)).
% 1.15/0.43 thf(func_def_199, type, sK127: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.15/0.43 thf(func_def_200, type, sK128: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_201, type, sK129: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_202, type, sK130: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.15/0.43 thf(func_def_203, type, sK131: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 1.15/0.43 thf(func_def_204, type, sK132: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_205, type, sK133: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_206, type, sK134: ((nat > type_Mirabelle_typ) > type_Mirabelle_typ > (nat > type_Mirabelle_typ) > nat)).
% 1.15/0.43 thf(func_def_207, type, sK135: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_208, type, sK136: (type_M1610475166scheme > (nat > type_Mirabelle_typ) > (nat > type_Mirabelle_typ) > nat)).
% 1.15/0.43 thf(func_def_209, type, sK137: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.15/0.43 thf(func_def_210, type, sK138: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.15/0.43 thf(func_def_211, type, sK139: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.15/0.43 thf(func_def_212, type, sK140: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 1.15/0.43 thf(func_def_213, type, sK141: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 1.15/0.43 thf(func_def_214, type, sK142: !>[X0: $tType]:((set @ X0 > X0 > set @ X0 > X0 > set @ X0))).
% 1.15/0.43 thf(func_def_215, type, sK143: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.15/0.43 thf(func_def_216, type, sK144: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_217, type, sK145: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.15/0.43 thf(func_def_218, type, sK146: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_219, type, sK147: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 1.15/0.43 thf(func_def_220, type, sK148: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.15/0.43 thf(func_def_221, type, sK149: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_222, type, sK150: ((nat > type_Mirabelle_typ) > (nat > type_Mirabelle_typ) > type_Mirabelle_typ > nat)).
% 1.15/0.43 thf(func_def_223, type, sK151: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_224, type, sK152: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_225, type, sK153: !>[X0: $tType]:((X0 > X0))).
% 1.15/0.43 thf(func_def_226, type, sK154: !>[X0: $tType]:((set @ X0 > X0))).
% 1.15/0.43 thf(func_def_227, type, sK155: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_228, type, sK156: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_229, type, sK157: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_230, type, sK158: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.15/0.43 thf(func_def_231, type, sK159: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.15/0.43 thf(f4,axiom,(
% 1.15/0.43 ! [X1 : nat,X0 : (nat > type_Mirabelle_typ)] : (((type_M353778473_subst @ type_M1610475166scheme @ X0 @ (type_M91906176e_FVar @ X1))) = ((type_M540877363scheme @ (X0 @ X1))))),
% 1.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_app__subst__type__scheme_Osimps_I1_J)).
% 1.15/0.43 thf(f13,axiom,(
% 1.15/0.43 ! [X0 : nat] : (((type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ X0))) = ((insert2 @ nat @ X0 @ bot_bot @ set @ nat)))),
% 1.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_free__tv__type__scheme_Osimps_I1_J)).
% 1.15/0.43 thf(f32,axiom,(
% 1.15/0.43 ! [X1 : type_Mirabelle_typ,X0 : type_Mirabelle_typ] : ((((type_M540877363scheme @ X0)) = ((type_M540877363scheme @ X1))) => (X0 = X1))),
% 1.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_mk__scheme__injective)).
% 1.15/0.43 thf(f74,axiom,(
% 1.15/0.43 ! [X0 : $tType,X2 : X0,X1 : X0] : (((member @ X0 @ X1 @ (insert2 @ X0 @ X2 @ bot_bot @ set @ X0))) = (X1 = X2))),
% 1.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_singleton__iff)).
% 1.15/0.43 thf(f299,conjecture,(
% 1.15/0.43 (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) != ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x)))) | (((s1 @ n)) = ((s2 @ n))) | ~(member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x)))),
% 1.15/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.15/0.43 thf(f300,negated_conjecture,(
% 1.15/0.43 ~((((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) != ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x)))) | (((s1 @ n)) = ((s2 @ n))) | ~(member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x))))),
% 1.15/0.43 inference(negated_conjecture,[status(cth)],[f299])).
% 1.15/0.43 thf(f416,plain,(
% 1.15/0.43 ~((((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) != ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x)))) | (((s1 @ n)) = ((s2 @ n))) | ~(member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x))))),
% 1.15/0.43 inference(rectify,[],[f300])).
% 1.15/0.43 thf(f417,plain,(
% 1.15/0.43 ~((((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) != ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x)))) | (((s1 @ n)) = ((s2 @ n))) | ~ (((member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x)))) = $true))),
% 1.15/0.43 inference(fool_elimination,[],[f416])).
% 1.15/0.43 thf(f450,plain,(
% 1.15/0.43 ! [X0 : $tType,X1 : X0,X2 : X0] : (((member @ X0 @ X2 @ (insert2 @ X0 @ X1 @ bot_bot @ set @ X0))) = (X1 = X2))),
% 1.15/0.43 inference(rectify,[],[f74])).
% 1.15/0.43 thf(f451,plain,(
% 1.15/0.43 ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = ((member @ X0 @ X2 @ (insert2 @ X0 @ X1 @ bot_bot @ set @ X0)))) <=> (X1 = X2))),
% 1.15/0.43 inference(fool_elimination,[],[f450])).
% 1.15/0.43 thf(f772,plain,(
% 1.15/0.43 ~((((s1 @ n)) = ((s2 @ n))) | (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) != ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x)))) | (((member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x)))) != $true))),
% 1.15/0.43 inference(flattening,[],[f417])).
% 1.15/0.43 thf(f781,plain,(
% 1.15/0.43 ! [X1 : type_Mirabelle_typ,X0 : type_Mirabelle_typ] : ((((type_M540877363scheme @ X0)) = ((type_M540877363scheme @ X1))) => (X0 = X1))),
% 1.15/0.43 inference(rectify,[],[f32])).
% 1.15/0.43 thf(f877,plain,(
% 1.15/0.43 ! [X0 : type_Mirabelle_typ,X1 : type_Mirabelle_typ] : ((((type_M540877363scheme @ X0)) != ((type_M540877363scheme @ X1))) | (X0 = X1))),
% 1.15/0.43 inference(ennf_transformation,[],[f781])).
% 1.15/0.43 thf(f926,plain,(
% 1.15/0.43 (((s1 @ n)) != ((s2 @ n))) & (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) = ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x)))) & (((member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x)))) = $true)),
% 1.15/0.43 inference(ennf_transformation,[],[f772])).
% 1.15/0.43 thf(f1149,plain,(
% 1.15/0.43 ! [X0 : nat,X1 : (nat > type_Mirabelle_typ)] : (((type_M540877363scheme @ (X1 @ X0))) = ((type_M353778473_subst @ type_M1610475166scheme @ X1 @ (type_M91906176e_FVar @ X0))))),
% 1.15/0.43 inference(rectify,[],[f4])).
% 1.15/0.43 thf(f1254,plain,(
% 1.15/0.43 ! [X0 : $tType,X2 : X0,X1 : X0] : ((($true = ((member @ X0 @ X2 @ (insert2 @ X0 @ X1 @ bot_bot @ set @ X0)))) | (X1 != X2)) & ((X1 = X2) | ($true != ((member @ X0 @ X2 @ (insert2 @ X0 @ X1 @ bot_bot @ set @ X0))))))),
% 1.15/0.43 inference(nnf_transformation,[],[f451])).
% 1.15/0.43 thf(f1255,plain,(
% 1.15/0.43 ! [X0 : $tType,X1 : X0,X2 : X0] : (((((member @ X0 @ X1 @ (insert2 @ X0 @ X2 @ bot_bot @ set @ X0))) = $true) | (X1 != X2)) & ((X1 = X2) | (((member @ X0 @ X1 @ (insert2 @ X0 @ X2 @ bot_bot @ set @ X0))) != $true)))),
% 1.15/0.43 inference(rectify,[],[f1254])).
% 1.15/0.43 thf(f1372,plain,(
% 1.15/0.43 (((member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x)))) = $true)),
% 1.15/0.43 inference(cnf_transformation,[],[f926])).
% 1.15/0.43 thf(f1373,plain,(
% 1.15/0.43 (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) = ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x))))),
% 1.15/0.43 inference(cnf_transformation,[],[f926])).
% 1.15/0.43 thf(f1374,plain,(
% 1.15/0.43 (((s1 @ n)) != ((s2 @ n)))),
% 1.15/0.43 inference(cnf_transformation,[],[f926])).
% 1.15/0.43 thf(f1377,plain,(
% 1.15/0.43 ( ! [X0 : nat] : ((((type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ X0))) = ((insert2 @ nat @ X0 @ bot_bot @ set @ nat)))) )),
% 1.15/0.43 inference(cnf_transformation,[],[f13])).
% 1.15/0.43 thf(f1510,plain,(
% 1.15/0.43 ( ! [X0 : nat,X1 : (nat > type_Mirabelle_typ)] : ((((type_M540877363scheme @ (X1 @ X0))) = ((type_M353778473_subst @ type_M1610475166scheme @ X1 @ (type_M91906176e_FVar @ X0))))) )),
% 1.15/0.43 inference(cnf_transformation,[],[f1149])).
% 1.15/0.43 thf(f1688,plain,(
% 1.15/0.43 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((member @ X0 @ X1 @ (insert2 @ X0 @ X2 @ bot_bot @ set @ X0))) != $true) | (X1 = X2)) )),
% 1.15/0.43 inference(cnf_transformation,[],[f1255])).
% 1.15/0.43 thf(f1749,plain,(
% 1.15/0.43 ( ! [X0 : type_Mirabelle_typ,X1 : type_Mirabelle_typ] : ((((type_M540877363scheme @ X0)) != ((type_M540877363scheme @ X1))) | (X0 = X1)) )),
% 1.15/0.43 inference(cnf_transformation,[],[f877])).
% 1.15/0.43 thf(f1955,definition,(
% 1.15/0.43 spl160_14 <=> (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) = ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x))))),
% 1.15/0.43 introduced(definition,[new_symbols(definition,[spl160_14])],[avatar_definition])).
% 1.15/0.43 thf(f1957,plain,(
% 1.15/0.43 (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) = ((type_M353778473_subst @ type_M1610475166scheme @ s2 @ (type_M91906176e_FVar @ x)))) | ~spl160_14),
% 1.15/0.43 inference(avatar_component_clause,[],[f1955])).
% 1.15/0.43 thf(f1958,plain,(
% 1.15/0.43 spl160_14),
% 1.15/0.43 inference(avatar_split_clause,[],[f1373,f1955])).
% 1.15/0.43 thf(f2028,definition,(
% 1.15/0.43 spl160_29 <=> (((member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x)))) = $true)),
% 1.15/0.43 introduced(definition,[new_symbols(definition,[spl160_29])],[avatar_definition])).
% 1.15/0.43 thf(f2030,plain,(
% 1.15/0.43 (((member @ nat @ n @ (type_M950795831ree_tv @ type_M1610475166scheme @ (type_M91906176e_FVar @ x)))) = $true) | ~spl160_29),
% 1.15/0.43 inference(avatar_component_clause,[],[f2028])).
% 1.15/0.43 thf(f2031,plain,(
% 1.15/0.43 spl160_29),
% 1.15/0.43 inference(avatar_split_clause,[],[f1372,f2028])).
% 1.15/0.43 thf(f2049,definition,(
% 1.15/0.43 spl160_33 <=> (((s1 @ n)) = ((s2 @ n)))),
% 1.15/0.43 introduced(definition,[new_symbols(definition,[spl160_33])],[avatar_definition])).
% 1.15/0.43 thf(f2052,plain,(
% 1.15/0.43 ~spl160_33),
% 1.15/0.43 inference(avatar_split_clause,[],[f1374,f2049])).
% 1.15/0.43 thf(f2072,plain,(
% 1.15/0.43 ($true = ((member @ nat @ n @ (insert2 @ nat @ x @ bot_bot @ set @ nat)))) | ~spl160_29),
% 1.15/0.43 inference(backward_demodulation,[],[f2030,f1377])).
% 1.15/0.43 thf(f2075,definition,(
% 1.15/0.43 spl160_36 <=> ($true = ((member @ nat @ n @ (insert2 @ nat @ x @ bot_bot @ set @ nat))))),
% 1.15/0.43 introduced(definition,[new_symbols(definition,[spl160_36])],[avatar_definition])).
% 1.15/0.43 thf(f2077,plain,(
% 1.15/0.43 ($true = ((member @ nat @ n @ (insert2 @ nat @ x @ bot_bot @ set @ nat)))) | ~spl160_36),
% 1.15/0.43 inference(avatar_component_clause,[],[f2075])).
% 1.15/0.43 thf(f2078,plain,(
% 1.15/0.43 spl160_36 | ~spl160_29),
% 1.15/0.43 inference(avatar_split_clause,[],[f2072,f2028,f2075])).
% 1.15/0.43 thf(f2252,plain,(
% 1.15/0.43 (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) = ((type_M540877363scheme @ (s2 @ x)))) | ~spl160_14),
% 1.15/0.43 inference(backward_demodulation,[],[f1957,f1510])).
% 1.15/0.43 thf(f2266,definition,(
% 1.15/0.43 spl160_41 <=> (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) = ((type_M540877363scheme @ (s2 @ x))))),
% 1.15/0.43 introduced(definition,[new_symbols(definition,[spl160_41])],[avatar_definition])).
% 1.15/0.43 thf(f2268,plain,(
% 1.15/0.43 (((type_M353778473_subst @ type_M1610475166scheme @ s1 @ (type_M91906176e_FVar @ x))) = ((type_M540877363scheme @ (s2 @ x)))) | ~spl160_41),
% 1.15/0.43 inference(avatar_component_clause,[],[f2266])).
% 1.15/0.43 thf(f2269,plain,(
% 1.15/0.43 spl160_41 | ~spl160_14),
% 1.15/0.43 inference(avatar_split_clause,[],[f2252,f1955,f2266])).
% 1.15/0.43 thf(f2271,plain,(
% 1.15/0.43 (((type_M540877363scheme @ (s2 @ x))) = ((type_M540877363scheme @ (s1 @ x)))) | ~spl160_41),
% 1.15/0.43 inference(superposition,[],[f1510,f2268])).
% 1.15/0.43 thf(f2273,definition,(
% 1.15/0.43 spl160_42 <=> (((type_M540877363scheme @ (s2 @ x))) = ((type_M540877363scheme @ (s1 @ x))))),
% 1.15/0.43 introduced(definition,[new_symbols(definition,[spl160_42])],[avatar_definition])).
% 1.15/0.43 thf(f2275,plain,(
% 1.15/0.43 (((type_M540877363scheme @ (s2 @ x))) = ((type_M540877363scheme @ (s1 @ x)))) | ~spl160_42),
% 1.15/0.43 inference(avatar_component_clause,[],[f2273])).
% 1.15/0.43 thf(f2276,plain,(
% 1.15/0.43 spl160_42 | ~spl160_41),
% 1.15/0.43 inference(avatar_split_clause,[],[f2271,f2266,f2273])).
% 1.15/0.43 thf(f2277,plain,(
% 1.15/0.43 (((s2 @ x)) = ((s1 @ x))) | ~spl160_42),
% 1.15/0.43 inference(unit_resulting_resolution,[],[f1749,f2275])).
% 1.15/0.43 thf(f2283,definition,(
% 1.15/0.43 spl160_43 <=> (((s2 @ x)) = ((s1 @ x)))),
% 1.15/0.43 introduced(definition,[new_symbols(definition,[spl160_43])],[avatar_definition])).
% 1.15/0.43 thf(f2286,plain,(
% 1.15/0.43 spl160_43 | ~spl160_42),
% 1.15/0.43 inference(avatar_split_clause,[],[f2277,f2273,f2283])).
% 1.15/0.43 thf(f2751,plain,(
% 1.15/0.43 ($true != $true) | (x = n) | ~spl160_36),
% 1.15/0.43 inference(superposition,[],[f1688,f2077])).
% 1.15/0.43 thf(f2755,plain,(
% 1.15/0.43 (x = n) | ~spl160_36),
% 1.15/0.43 inference(trivial_inequality_removal,[],[f2751])).
% 1.15/0.43 thf(f2765,definition,(
% 1.15/0.43 spl160_53 <=> (x = n)),
% 1.15/0.43 introduced(definition,[new_symbols(definition,[spl160_53])],[avatar_definition])).
% 1.15/0.43 thf(f2768,plain,(
% 1.15/0.43 spl160_53 | ~spl160_36),
% 1.15/0.43 inference(avatar_split_clause,[],[f2755,f2075,f2765])).
% 1.15/0.43 thf(f2817,definition,(
% 1.15/0.43 (x != n) | (((s2 @ x)) != ((s1 @ x))) | (((s1 @ n)) = ((s2 @ n)))),
% 1.15/0.43 introduced(theory,[theory_tautology_sat_conflict])).
% 1.15/0.43 cnf(s13, plain, spl160_14, inference(sat_conversion,[],[f1958])).
% 1.15/0.43 cnf(s28, plain, spl160_29, inference(sat_conversion,[],[f2031])).
% 1.15/0.43 cnf(s33, plain, ~spl160_33, inference(sat_conversion,[],[f2052])).
% 1.15/0.43 cnf(s36, plain, ~spl160_29 | spl160_36, inference(sat_conversion,[],[f2078])).
% 1.15/0.43 cnf(s44, plain, ~spl160_14 | spl160_41, inference(sat_conversion,[],[f2269])).
% 1.15/0.43 cnf(s45, plain, ~spl160_41 | spl160_42, inference(sat_conversion,[],[f2276])).
% 1.15/0.43 cnf(s47, plain, ~spl160_42 | spl160_43, inference(sat_conversion,[],[f2286])).
% 1.15/0.43 cnf(s61, plain, ~spl160_36 | spl160_53, inference(sat_conversion,[],[f2768])).
% 1.15/0.43 cnf(s72, plain, spl160_33 | ~spl160_43 | ~spl160_53, inference(sat_conversion,[],[f2817])).
% 1.15/0.43 cnf(s79, plain, spl160_36, inference(rat,[],[s36,s28])).
% 1.15/0.43 cnf(s80, plain, spl160_53, inference(rat,[],[s61,s79])).
% 1.15/0.43 cnf(s85, plain, ~spl160_43, inference(rat,[],[s72,s33,s80])).
% 1.15/0.43 cnf(s96, plain, ~spl160_42, inference(rat,[],[s47,s85])).
% 1.15/0.43 cnf(s97, plain, ~spl160_41, inference(rat,[],[s45,s96])).
% 1.15/0.43 cnf(s98, plain, ~spl160_14, inference(rat,[],[s44,s97])).
% 1.15/0.43 cnf(s99, plain, $false, inference(rat,[],[s13,s98])).
% 1.15/0.43 thf(f2819,plain,(
% 1.15/0.43 $false),
% 1.15/0.43 inference(avatar_sat_refutation,[],[s99])).
% 1.15/0.43 % SZS output end Proof for theBenchmark
% 1.15/0.43 % (624619)------------------------------
% 1.15/0.43 % (624619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.43 % (624619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.43 % (624619)CaDiCaL version: 2.1.3
% 1.15/0.43 % (624619)Termination reason: Refutation
% 1.15/0.43 % (624619)Time elapsed: 0.067 s
% 1.15/0.43 % (624619)Peak memory usage: 16 MB
% 1.15/0.43 % (624619)Instructions burned: 217 (million)
% 1.15/0.43 % (624470)Success in time 0.263 s
% 1.15/0.43 % Vampire exiting
%------------------------------------------------------------------------------