%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM189^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 07:46:25 AM UTC 2026
% Result : Theorem 1.70s 0.51s
% Output : Refutation 1.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM189^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n013.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 17:49:51 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.09/0.22 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
% 0.82/0.38 % (2436909)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.82/0.38 % (2436917)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=2340386919: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)
% 0.82/0.38 % (2436915)lrs+10_16_si=on:nwc=1.5:random_seed=3911955854:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.82/0.38 % (2436916)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=481061128:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.82/0.38 % (2436914)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2534507433:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.82/0.38 % (2436918)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=674205857:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.82/0.38 % (2436916)Instruction limit reached!
% 0.82/0.38 % (2436916)------------------------------
% 0.82/0.38 % (2436916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2436916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2436916)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2436916)Termination reason: Instruction limit
% 0.82/0.38 % (2436916)Termination phase: shuffling
% 0.82/0.38 % (2436916)Time elapsed: 0.003 s
% 0.82/0.38 % (2436916)Peak memory usage: 10 MB
% 0.82/0.38 % (2436916)Instructions burned: 6 (million)
% 0.82/0.38 % (2436920)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.82/0.38 % (2436920)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
% 0.82/0.38 % (2436920)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=1506388644:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.82/0.38 % (2436915)Instruction limit reached!
% 0.82/0.38 % (2436915)------------------------------
% 0.82/0.38 % (2436915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2436915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2436915)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2436915)Termination reason: Instruction limit
% 0.82/0.38 % (2436915)Termination phase: shuffling
% 0.82/0.38 % (2436915)Time elapsed: 0.009 s
% 0.82/0.38 % (2436915)Peak memory usage: 10 MB
% 0.82/0.38 % (2436915)Instructions burned: 20 (million)
% 0.82/0.38 % (2436919)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=347212509:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.82/0.38 % (2436918)Instruction limit reached!
% 0.82/0.38 % (2436918)------------------------------
% 0.82/0.38 % (2436918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2436918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2436918)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2436918)Termination reason: Instruction limit
% 0.82/0.38 % (2436918)Termination phase: Property scanning
% 0.82/0.38 % (2436918)Time elapsed: 0.012 s
% 0.82/0.38 % (2436918)Peak memory usage: 10 MB
% 0.82/0.38 % (2436918)Instructions burned: 26 (million)
% 0.82/0.38 % (2436926)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1390613454:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.38 % (2436926)Instruction limit reached!
% 0.82/0.38 % (2436926)------------------------------
% 0.82/0.38 % (2436926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2436926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2436926)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2436926)Termination reason: Instruction limit
% 0.82/0.38 % (2436926)Termination phase: shuffling
% 0.82/0.38 % (2436926)Time elapsed: 0.004 s
% 0.82/0.38 % (2436926)Peak memory usage: 10 MB
% 0.82/0.38 % (2436926)Instructions burned: 7 (million)
% 0.82/0.38 % (2436928)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4010080091:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.82/0.41 % (2436930)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.41 % (2436928)Instruction limit reached!
% 0.82/0.41 % (2436928)------------------------------
% 0.82/0.41 % (2436928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.41 % (2436928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.41 % (2436928)CaDiCaL version: 2.1.3
% 0.82/0.41 % (2436928)Termination reason: Instruction limit
% 0.82/0.41 % (2436928)Termination phase: shuffling
% 0.82/0.41 % (2436928)Time elapsed: 0.003 s
% 0.82/0.41 % (2436928)Peak memory usage: 10 MB
% 0.82/0.41 % (2436928)Instructions burned: 6 (million)
% 0.82/0.41 % (2436930)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=120682827:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.82/0.41 % (2436930)Instruction limit reached!
% 0.82/0.41 % (2436930)------------------------------
% 0.82/0.41 % (2436930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.41 % (2436930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.41 % (2436930)CaDiCaL version: 2.1.3
% 0.82/0.41 % (2436930)Termination reason: Instruction limit
% 0.82/0.41 % (2436930)Termination phase: shuffling
% 0.82/0.41 % (2436930)Time elapsed: 0.004 s
% 0.82/0.41 % (2436930)Peak memory usage: 10 MB
% 0.82/0.41 % (2436930)Instructions burned: 7 (million)
% 0.82/0.41 % (2436914)Instruction limit reached!
% 0.82/0.41 % (2436914)------------------------------
% 0.82/0.41 % (2436914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.41 % (2436914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.41 % (2436914)CaDiCaL version: 2.1.3
% 0.82/0.41 % (2436914)Termination reason: Instruction limit
% 0.82/0.41 % (2436914)Termination phase: Property scanning
% 0.82/0.41 % (2436914)Time elapsed: 0.042 s
% 0.82/0.41 % (2436914)Peak memory usage: 12 MB
% 0.82/0.41 % (2436914)Instructions burned: 88 (million)
% 0.82/0.41 % (2436934)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
% 0.82/0.41 % (2436934)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.41 % (2436932)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=888424973:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.82/0.41 % (2436919)Instruction limit reached!
% 0.82/0.41 % (2436919)------------------------------
% 0.82/0.41 % (2436919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.41 % (2436919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.41 % (2436919)CaDiCaL version: 2.1.3
% 0.82/0.41 % (2436919)Termination reason: Instruction limit
% 0.82/0.41 % (2436919)Termination phase: Property scanning
% 0.82/0.41 % (2436919)Time elapsed: 0.038 s
% 0.82/0.41 % (2436919)Peak memory usage: 12 MB
% 0.82/0.41 % (2436919)Instructions burned: 77 (million)
% 0.82/0.41 % (2436934)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3621576186:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.82/0.41 % (2436932)Instruction limit reached!
% 0.82/0.41 % (2436932)------------------------------
% 0.82/0.41 % (2436932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.41 % (2436932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.41 % (2436932)CaDiCaL version: 2.1.3
% 0.82/0.41 % (2436932)Termination reason: Instruction limit
% 0.82/0.41 % (2436932)Termination phase: shuffling
% 0.82/0.41 % (2436932)Time elapsed: 0.006 s
% 0.82/0.41 % (2436932)Peak memory usage: 10 MB
% 0.82/0.41 % (2436932)Instructions burned: 13 (million)
% 0.82/0.41 % (2436936)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=704969606:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.82/0.41 % (2436937)lrs+10_1_si=on:cs=on:random_seed=4018200408:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.82/0.41 % (2436934)Instruction limit reached!
% 0.82/0.43 % (2436934)------------------------------
% 0.82/0.43 % (2436934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43 % (2436934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43 % (2436934)CaDiCaL version: 2.1.3
% 0.82/0.43 % (2436934)Termination reason: Instruction limit
% 0.82/0.43 % (2436934)Termination phase: shuffling
% 0.82/0.43 % (2436934)Time elapsed: 0.013 s
% 0.82/0.43 % (2436934)Peak memory usage: 10 MB
% 0.82/0.43 % (2436934)Instructions burned: 29 (million)
% 0.82/0.43 % (2436937)Instruction limit reached!
% 0.82/0.43 % (2436937)------------------------------
% 0.82/0.43 % (2436937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.43 % (2436937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.43 % (2436937)CaDiCaL version: 2.1.3
% 0.82/0.43 % (2436937)Termination reason: Instruction limit
% 0.82/0.43 % (2436937)Termination phase: shuffling
% 0.82/0.43 % (2436937)Time elapsed: 0.008 s
% 0.82/0.43 % (2436937)Peak memory usage: 10 MB
% 0.82/0.43 % (2436937)Instructions burned: 16 (million)
% 0.82/0.43 % (2436941)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2985247451:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.82/0.44 % (2436940)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.82/0.44 % (2436944)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=723098914:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.82/0.44 % (2436940)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=1382945645:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.44 % (2436940)Instruction limit reached!
% 0.82/0.44 % (2436940)------------------------------
% 0.82/0.44 % (2436940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2436945)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2213231719:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.82/0.44 % (2436941)Instruction limit reached!
% 0.82/0.44 % (2436941)------------------------------
% 0.82/0.44 % (2436941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2436941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2436941)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2436941)Termination reason: Instruction limit
% 0.82/0.44 % (2436941)Termination phase: SInE selection
% 0.82/0.44 % (2436941)Time elapsed: 0.018 s
% 0.82/0.44 % (2436941)Peak memory usage: 11 MB
% 0.82/0.44 % (2436940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2436941)Instructions burned: 38 (million)
% 0.82/0.44 % (2436940)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2436940)Termination reason: Instruction limit
% 0.82/0.44 % (2436940)Termination phase: shuffling
% 0.82/0.44 % (2436940)Time elapsed: 0.007 s
% 0.82/0.44 % (2436940)Peak memory usage: 10 MB
% 0.82/0.44 % (2436940)Instructions burned: 7 (million)
% 0.82/0.44 % (2436920)Instruction limit reached!
% 0.82/0.44 % (2436920)------------------------------
% 0.82/0.44 % (2436920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2436920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2436920)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2436920)Termination reason: Instruction limit
% 0.82/0.44 % (2436920)Termination phase: Saturation
% 0.82/0.44 % (2436920)Time elapsed: 0.084 s
% 0.82/0.44 % (2436920)Peak memory usage: 14 MB
% 0.82/0.44 % (2436920)Instructions burned: 157 (million)
% 0.82/0.44 % (2436936)Instruction limit reached!
% 0.82/0.44 % (2436936)------------------------------
% 0.82/0.44 % (2436936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2436936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2436936)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2436936)Termination reason: Instruction limit
% 0.82/0.44 % (2436936)Termination phase: Preprocessing 3
% 0.82/0.44 % (2436936)Time elapsed: 0.040 s
% 0.82/0.44 % (2436936)Peak memory usage: 11 MB
% 0.82/0.44 % (2436936)Instructions burned: 88 (million)
% 0.82/0.44 % (2436945)Instruction limit reached!
% 0.82/0.44 % (2436945)------------------------------
% 0.82/0.48 % (2436945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (2436945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (2436945)CaDiCaL version: 2.1.3
% 0.82/0.48 % (2436945)Termination reason: Instruction limit
% 0.82/0.48 % (2436945)Termination phase: Property scanning
% 0.82/0.48 % (2436945)Time elapsed: 0.013 s
% 0.82/0.48 % (2436945)Peak memory usage: 10 MB
% 0.82/0.48 % (2436945)Instructions burned: 26 (million)
% 0.82/0.48 % (2436944)Refutation not found, incomplete strategy
% 0.82/0.48 % (2436944)------------------------------
% 0.82/0.48 % (2436944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (2436944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (2436944)CaDiCaL version: 2.1.3
% 0.82/0.48 % (2436944)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.48 % (2436944)Time elapsed: 0.020 s
% 0.82/0.48 % (2436944)Peak memory usage: 13 MB
% 0.82/0.48 % (2436944)Instructions burned: 41 (million)
% 0.82/0.48 % (2436944)------------------------------
% 0.82/0.48 % (2436944)------------------------------
% 0.82/0.48 % (2436951)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=658585469:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.82/0.48 % (2436950)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1360719957:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.48 % (2436952)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3564519296:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.48 % (2436953)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3328567946:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.82/0.48 % (2436953)Instruction limit reached!
% 0.82/0.48 % (2436953)------------------------------
% 0.82/0.48 % (2436953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (2436953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (2436953)CaDiCaL version: 2.1.3
% 0.82/0.48 % (2436953)Termination reason: Instruction limit
% 0.82/0.48 % (2436953)Termination phase: shuffling
% 0.82/0.48 % (2436953)Time elapsed: 0.003 s
% 0.82/0.48 % (2436953)Peak memory usage: 10 MB
% 0.82/0.48 % (2436953)Instructions burned: 5 (million)
% 0.82/0.48 % (2436950)Instruction limit reached!
% 0.82/0.48 % (2436950)------------------------------
% 0.82/0.48 % (2436950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (2436950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (2436950)CaDiCaL version: 2.1.3
% 0.82/0.48 % (2436950)Termination reason: Instruction limit
% 0.82/0.48 % (2436950)Termination phase: shuffling
% 0.82/0.48 % (2436950)Time elapsed: 0.007 s
% 0.82/0.48 % (2436950)Peak memory usage: 10 MB
% 0.82/0.48 % (2436950)Instructions burned: 15 (million)
% 0.82/0.48 % (2436952)Instruction limit reached!
% 0.82/0.48 % (2436952)------------------------------
% 0.82/0.48 % (2436952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (2436952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.48 % (2436952)CaDiCaL version: 2.1.3
% 0.82/0.48 % (2436952)Termination reason: Instruction limit
% 0.82/0.48 % (2436952)Termination phase: shuffling
% 0.82/0.48 % (2436952)Time elapsed: 0.007 s
% 0.82/0.48 % (2436952)Peak memory usage: 10 MB
% 0.82/0.48 % (2436952)Instructions burned: 15 (million)
% 0.82/0.48 % (2436954)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=163422952:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.82/0.48 % (2436955)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1951930643:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.82/0.48 % (2436954)Instruction limit reached!
% 0.82/0.48 % (2436954)------------------------------
% 0.82/0.48 % (2436954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.48 % (2436961)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
% 1.70/0.51 % (2436961)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.70/0.51 % (2436954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436954)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436954)Termination reason: Instruction limit
% 1.70/0.51 % (2436954)Termination phase: shuffling
% 1.70/0.51 % (2436954)Time elapsed: 0.013 s
% 1.70/0.51 % (2436954)Peak memory usage: 10 MB
% 1.70/0.51 % (2436954)Instructions burned: 28 (million)
% 1.70/0.51 % (2436955)Instruction limit reached!
% 1.70/0.51 % (2436955)------------------------------
% 1.70/0.51 % (2436955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.51 % (2436955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436955)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436955)Termination reason: Instruction limit
% 1.70/0.51 % (2436955)Termination phase: Property scanning
% 1.70/0.51 % (2436955)Time elapsed: 0.011 s
% 1.70/0.51 % (2436955)Peak memory usage: 10 MB
% 1.70/0.51 % (2436955)Instructions burned: 24 (million)
% 1.70/0.51 % (2436963)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.70/0.51 % (2436960)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3619855429:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.70/0.51 % (2436961)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=2820472103:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.70/0.51 % (2436963)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=1647124988:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.70/0.51 % (2436963)Instruction limit reached!
% 1.70/0.51 % (2436963)------------------------------
% 1.70/0.51 % (2436963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.51 % (2436963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436963)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436963)Termination reason: Instruction limit
% 1.70/0.51 % (2436963)Termination phase: shuffling
% 1.70/0.51 % (2436963)Time elapsed: 0.005 s
% 1.70/0.51 % (2436963)Peak memory usage: 10 MB
% 1.70/0.51 % (2436963)Instructions burned: 10 (million)
% 1.70/0.51 % (2436961)Instruction limit reached!
% 1.70/0.51 % (2436961)------------------------------
% 1.70/0.51 % (2436961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.51 % (2436961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436961)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436961)Termination reason: Instruction limit
% 1.70/0.51 % (2436961)Termination phase: shuffling
% 1.70/0.51 % (2436961)Time elapsed: 0.008 s
% 1.70/0.51 % (2436961)Peak memory usage: 10 MB
% 1.70/0.51 % (2436961)Instructions burned: 16 (million)
% 1.70/0.51 % (2436917)Instruction limit reached!
% 1.70/0.51 % (2436917)------------------------------
% 1.70/0.51 % (2436917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.51 % (2436917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436917)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436917)Termination reason: Instruction limit
% 1.70/0.51 % (2436917)Termination phase: Saturation
% 1.70/0.51 % (2436917)Time elapsed: 0.153 s
% 1.70/0.51 % (2436917)Peak memory usage: 15 MB
% 1.70/0.51 % (2436917)Instructions burned: 638 (million)
% 1.70/0.51 % (2436965)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=2959989036:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.70/0.51 % (2436966)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2598322213:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.70/0.51 % (2436972)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4128463505:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.70/0.51 % (2436966)Instruction limit reached!
% 1.70/0.51 % (2436966)------------------------------
% 1.70/0.51 % (2436966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.51 % (2436966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436966)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436966)Termination reason: Instruction limit
% 1.70/0.51 % (2436966)Termination phase: shuffling
% 1.70/0.51 % (2436966)Time elapsed: 0.003 s
% 1.70/0.51 % (2436966)Peak memory usage: 10 MB
% 1.70/0.51 % (2436966)Instructions burned: 7 (million)
% 1.70/0.51 % (2436970)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4292426335:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.70/0.51 % (2436971)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1660840634:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.70/0.51 % (2436960)Instruction limit reached!
% 1.70/0.51 % (2436960)------------------------------
% 1.70/0.51 % (2436960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.51 % (2436960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436960)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436960)Termination reason: Instruction limit
% 1.70/0.51 % (2436960)Termination phase: Property scanning
% 1.70/0.51 % (2436960)Time elapsed: 0.029 s
% 1.70/0.51 % (2436960)Peak memory usage: 11 MB
% 1.70/0.51 % (2436960)Instructions burned: 61 (million)
% 1.70/0.51 % (2436965)Instruction limit reached!
% 1.70/0.51 % (2436965)------------------------------
% 1.70/0.51 % (2436965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.51 % (2436965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436965)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436965)Termination reason: Instruction limit
% 1.70/0.51 % (2436965)Termination phase: shuffling
% 1.70/0.51 % (2436965)Time elapsed: 0.015 s
% 1.70/0.51 % (2436965)Peak memory usage: 10 MB
% 1.70/0.51 % (2436965)Instructions burned: 33 (million)
% 1.70/0.51 % (2436971)Instruction limit reached!
% 1.70/0.51 % (2436971)------------------------------
% 1.70/0.51 % (2436971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.51 % (2436971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436971)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436971)Termination reason: Instruction limit
% 1.70/0.51 % (2436971)Termination phase: shuffling
% 1.70/0.51 % (2436971)Time elapsed: 0.010 s
% 1.70/0.51 % (2436971)Peak memory usage: 10 MB
% 1.70/0.51 % (2436971)Instructions burned: 20 (million)
% 1.70/0.51 % (2436970)Instruction limit reached!
% 1.70/0.51 % (2436970)------------------------------
% 1.70/0.51 % (2436970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.51 % (2436970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436970)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436970)Termination reason: Instruction limit
% 1.70/0.51 % (2436970)Termination phase: shuffling
% 1.70/0.51 % (2436970)Time elapsed: 0.011 s
% 1.70/0.51 % (2436970)Peak memory usage: 10 MB
% 1.70/0.51 % (2436970)Instructions burned: 25 (million)
% 1.70/0.51 % (2436976)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2879133981:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.70/0.51 % (2436979)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=753802509:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.70/0.51 % (2436980)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2121422989:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.70/0.51 % (2436981)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.70/0.51 % (2436982)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2010443363:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.70/0.51 % (2436981)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4028980608:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.70/0.51 % (2436981)Instruction limit reached!
% 1.70/0.51 % (2436981)------------------------------
% 1.70/0.51 % (2436981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.51 % (2436981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436981)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436981)Termination reason: Instruction limit
% 1.70/0.51 % (2436981)Termination phase: shuffling
% 1.70/0.51 % (2436981)Time elapsed: 0.004 s
% 1.70/0.51 % (2436981)Peak memory usage: 10 MB
% 1.70/0.51 % (2436981)Instructions burned: 8 (million)
% 1.70/0.51 % (2436980)Instruction limit reached!
% 1.70/0.51 % (2436980)------------------------------
% 1.70/0.51 % (2436980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.51 % (2436980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436980)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436980)Termination reason: Instruction limit
% 1.70/0.51 % (2436980)Termination phase: Preprocessing 3
% 1.70/0.51 % (2436980)Time elapsed: 0.020 s
% 1.70/0.51 % (2436980)Peak memory usage: 11 MB
% 1.70/0.51 % (2436980)Instructions burned: 42 (million)
% 1.70/0.51 % (2436988)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=1594545088:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.70/0.51 % (2436989)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.70/0.51 % (2436989)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1798913590:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.70/0.51 % (2436972) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2436909-2436972"...
% 1.70/0.51 % (2436972)...printing done.
% 1.70/0.51 % (2436972)Refutation found. Thanks to Tanya!
% 1.70/0.51 % SZS status Theorem for theBenchmark
% 1.70/0.51 % SZS output start Proof for theBenchmark
% 1.70/0.51 thf(type_def_5, type, sum_sum: ($tType * $tType) > $tType).
% 1.70/0.51 thf(type_def_6, type, dtree: $tType).
% 1.70/0.51 thf(type_def_7, type, set: $tType > $tType).
% 1.70/0.51 thf(type_def_8, type, t: $tType).
% 1.70/0.51 thf(type_def_9, type, n: $tType).
% 1.70/0.51 thf(type_def_10, type, itself: $tType > $tType).
% 1.70/0.51 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 1.70/0.51 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.70/0.51 thf(func_def_1, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.70/0.51 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.70/0.51 thf(func_def_3, type, top: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.70/0.51 thf(func_def_4, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.70/0.51 thf(func_def_5, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.70/0.51 thf(func_def_6, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.70/0.51 thf(func_def_7, type, order_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 1.70/0.51 thf(func_def_8, type, node: (n > set @ sum_sum @ t @ dtree > dtree)).
% 1.70/0.51 thf(func_def_9, type, cont: (dtree > set @ sum_sum @ t @ dtree)).
% 1.70/0.51 thf(func_def_10, type, corec: !>[X0: $tType]:(((X0 > n) > (X0 > set @ sum_sum @ t @ sum_sum @ dtree @ X0) > X0 > dtree))).
% 1.70/0.51 thf(func_def_11, type, root: (dtree > n)).
% 1.70/0.51 thf(func_def_12, type, unfold: !>[X0: $tType]:(((X0 > n) > (X0 > set @ sum_sum @ t @ X0) > X0 > dtree))).
% 1.70/0.51 thf(func_def_13, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 1.70/0.51 thf(func_def_14, type, id: !>[X0: $tType]:((X0 > X0))).
% 1.70/0.51 thf(func_def_15, type, gram_L1451583635elle_S: (n > set @ sum_sum @ t @ n)).
% 1.70/0.51 thf(func_def_16, type, gram_L1231612515_deftr: (n > dtree)).
% 1.70/0.51 thf(func_def_17, type, gram_L1004374585hsubst: (dtree > dtree > dtree)).
% 1.70/0.51 thf(func_def_18, type, gram_L1905609002ubst_c: (dtree > dtree > set @ sum_sum @ t @ dtree)).
% 1.70/0.51 thf(func_def_19, type, gram_L1905609017ubst_r: (dtree > n)).
% 1.70/0.51 thf(func_def_20, type, gram_L1333338417e_inFr: (set @ n > dtree > t > $o)).
% 1.70/0.51 thf(func_def_21, type, gram_L805317441_inFr2: (set @ n > dtree > t > $o)).
% 1.70/0.51 thf(func_def_22, type, gram_L805317505_inFrr: (set @ n > dtree > t > $o)).
% 1.70/0.51 thf(func_def_23, type, gram_L830233218_inItr: (set @ n > dtree > n > $o)).
% 1.70/0.51 thf(func_def_24, type, gram_L1918716148le_reg: ((n > dtree) > dtree > $o)).
% 1.70/0.51 thf(func_def_25, type, gram_L646766332egular: (dtree > $o)).
% 1.70/0.51 thf(func_def_26, type, gram_L716654942_subtr: (set @ n > dtree > dtree > $o)).
% 1.70/0.51 thf(func_def_27, type, gram_L1283001940subtr2: (set @ n > dtree > dtree > $o)).
% 1.70/0.51 thf(func_def_28, type, gram_L1614515765ubtrOf: (dtree > n > dtree)).
% 1.70/0.51 thf(func_def_29, type, gram_L864798063lle_wf: (dtree > $o)).
% 1.70/0.51 thf(func_def_30, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.70/0.51 thf(func_def_31, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.70/0.51 thf(func_def_32, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.70/0.51 thf(func_def_33, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.70/0.51 thf(func_def_34, type, top_top: !>[X0: $tType]:(X0)).
% 1.70/0.51 thf(func_def_35, type, type2: !>[X0: $tType]:(itself @ X0)).
% 1.70/0.51 thf(func_def_36, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.70/0.51 thf(func_def_37, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.70/0.51 thf(func_def_38, type, vimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0))).
% 1.70/0.51 thf(func_def_39, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 1.70/0.51 thf(func_def_40, type, sum_Inr: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X1 @ X0))).
% 1.70/0.51 thf(func_def_41, type, sum_rec_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1))).
% 1.70/0.51 thf(func_def_42, type, type_definition: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > set @ X1 > $o))).
% 1.70/0.51 thf(func_def_43, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.70/0.51 thf(func_def_44, type, f: (n > dtree)).
% 1.70/0.51 thf(func_def_45, type, tr: dtree).
% 1.70/0.51 thf(func_def_47, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.70/0.51 thf(func_def_48, type, vIMP: ($o > $o > $o)).
% 1.70/0.51 thf(func_def_49, type, db0: !>[X0: $tType]:(X0)).
% 1.70/0.51 thf(func_def_50, type, db1: !>[X0: $tType]:(X0)).
% 1.70/0.51 thf(func_def_51, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.70/0.51 thf(func_def_52, type, db2: !>[X0: $tType]:(X0)).
% 1.70/0.51 thf(func_def_53, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.70/0.51 thf(func_def_56, type, db5: !>[X0: $tType]:(X0)).
% 1.70/0.51 thf(func_def_57, type, db3: !>[X0: $tType]:(X0)).
% 1.70/0.51 thf(func_def_58, type, db6: !>[X0: $tType]:(X0)).
% 1.70/0.51 thf(func_def_59, type, db4: !>[X0: $tType]:(X0)).
% 1.70/0.51 thf(func_def_60, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.70/0.51 thf(func_def_61, type, vAND: ($o > $o > $o)).
% 1.70/0.51 thf(func_def_62, type, vOR: ($o > $o > $o)).
% 1.70/0.51 thf(func_def_63, type, vNOT: ($o > $o)).
% 1.70/0.51 thf(func_def_64, type, db8: !>[X0: $tType]:(X0)).
% 1.70/0.51 thf(func_def_65, type, db7: !>[X0: $tType]:(X0)).
% 1.70/0.51 thf(func_def_67, type, sK1: !>[X0: $tType]:(X0)).
% 1.70/0.51 thf(func_def_68, type, sK2: !>[X0: $tType]:((set @ X0 > X0))).
% 1.70/0.51 thf(f1,axiom,(
% 1.70/0.51 (gram_L1918716148le_reg @ f @ tr)),
% 1.70/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms)).
% 1.70/0.51 thf(f20,axiom,(
% 1.70/0.51 ((^[X0 : (n > dtree), X1 : dtree] : (! [X2 : set @ n,X3 : dtree] : ((gram_L716654942_subtr @ X2 @ X3 @ X1) => (X3 = ((X0 @ (root @ X3))))))) = gram_L1918716148le_reg)),
% 1.70/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_reg__def2)).
% 1.70/0.51 thf(f34,axiom,(
% 1.70/0.51 ! [X1 : set @ n,X0 : dtree] : ((member @ n @ (root @ X0) @ X1) => (gram_L716654942_subtr @ X1 @ X0 @ X0))),
% 1.70/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_subtr_ORefl)).
% 1.70/0.51 thf(f133,axiom,(
% 1.70/0.51 ! [X0 : $tType,X1 : X0] : (top_top @ (X0 > $o) @ X1)),
% 1.70/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_top1I)).
% 1.70/0.51 thf(f165,axiom,(
% 1.70/0.51 ! [X0 : $tType] : (top_top @ (X0 > $o) = (^[X1 : X0] : ((member @ X0 @ X1 @ top_top @ set @ X0))))),
% 1.70/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_164_top__empty__eq)).
% 1.70/0.51 thf(f279,conjecture,(
% 1.70/0.51 (((f @ (root @ tr))) = tr)),
% 1.70/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.70/0.51 thf(f280,negated_conjecture,(
% 1.70/0.51 ~ (((f @ (root @ tr))) = tr)),
% 1.70/0.51 inference(negated_conjecture,[status(cth)],[f279])).
% 1.70/0.51 thf(f409,plain,(
% 1.70/0.51 ! [X0 : set @ n,X1 : dtree] : ((member @ n @ (root @ X1) @ X0) => (gram_L716654942_subtr @ X0 @ X1 @ X1))),
% 1.70/0.51 inference(rectify,[],[f34])).
% 1.70/0.51 thf(f410,plain,(
% 1.70/0.51 (((!! @ dtree @ (^[Y0 : dtree]: (!! @ set @ n @ (^[Y1 : set @ n]: ((member @ n @ (root @ Y0) @ Y1) => (gram_L716654942_subtr @ Y1 @ Y0 @ Y0))))))) = $true)),
% 1.70/0.51 inference(fool_elimination,[],[f409])).
% 1.70/0.51 thf(f426,plain,(
% 1.70/0.51 (gram_L1918716148le_reg @ f @ tr)),
% 1.70/0.51 inference(rectify,[],[f1])).
% 1.70/0.51 thf(f427,plain,(
% 1.70/0.51 (((gram_L1918716148le_reg @ f @ tr)) = $true)),
% 1.70/0.51 inference(fool_elimination,[],[f426])).
% 1.70/0.51 thf(f570,plain,(
% 1.70/0.51 ! [X0 : $tType,X1 : X0] : (top_top @ (X0 > $o) @ X1)),
% 1.70/0.51 inference(rectify,[],[f133])).
% 1.70/0.51 thf(f571,plain,(
% 1.70/0.51 ( ! [X0 : $tType] : ((((!! @ X0 @ (^[Y0 : X0]: (top_top @ (X0 > $o) @ Y0)))) = $true)) )),
% 1.70/0.51 inference(fool_elimination,[],[f570])).
% 1.70/0.51 thf(f612,plain,(
% 1.70/0.51 (((~ (tr = (f @ (root @ tr))))) = $true)),
% 1.70/0.51 inference(fool_elimination,[],[f280])).
% 1.70/0.51 thf(f742,plain,(
% 1.70/0.51 ( ! [X0 : $tType] : ((((top_top @ (X0 > $o) = (^[Y0 : X0]: (member @ X0 @ Y0 @ top_top @ set @ X0)))) = $true)) )),
% 1.70/0.51 inference(fool_elimination,[],[f165])).
% 1.70/0.51 thf(f759,plain,(
% 1.70/0.51 ((^[X0 : (n > dtree), X1 : dtree] : (! [X2 : set @ n,X3 : dtree] : ((gram_L716654942_subtr @ X2 @ X3 @ X1) => (X3 = ((X0 @ (root @ X3))))))) = gram_L1918716148le_reg)),
% 1.70/0.51 inference(rectify,[],[f20])).
% 1.70/0.51 thf(f760,plain,(
% 1.70/0.51 (gram_L1918716148le_reg = (^[Y0 : n > dtree]: ((^[Y1 : dtree]: (!! @ dtree @ (^[Y2 : dtree]: (!! @ set @ n @ (^[Y3 : set @ n]: ((gram_L716654942_subtr @ Y3 @ Y2 @ Y1) => ((Y0 @ (root @ Y2)) = Y2))))))))))),
% 1.70/0.51 inference(fool_elimination,[],[f759])).
% 1.70/0.51 thf(f943,plain,(
% 1.70/0.51 ! [X0 : $tType] : (((!! @ X0 @ (^[Y0 : X0]: (top_top @ (X0 > $o) @ Y0)))) = $true)),
% 1.70/0.51 inference(closure,[],[f571])).
% 1.70/0.51 thf(f1009,plain,(
% 1.70/0.51 ! [X0 : $tType] : (((top_top @ (X0 > $o) = (^[Y0 : X0]: (member @ X0 @ Y0 @ top_top @ set @ X0)))) = $true)),
% 1.70/0.51 inference(closure,[],[f742])).
% 1.70/0.51 thf(f1093,plain,(
% 1.70/0.51 (((gram_L1918716148le_reg @ f @ tr)) = $true)),
% 1.70/0.51 inference(cnf_transformation,[],[f427])).
% 1.70/0.51 thf(f1152,plain,(
% 1.70/0.51 ( ! [X0 : $tType] : ((((top_top @ (X0 > $o) = (^[Y0 : X0]: (member @ X0 @ Y0 @ top_top @ set @ X0)))) = $true)) )),
% 1.70/0.51 inference(cnf_transformation,[],[f1009])).
% 1.70/0.51 thf(f1181,plain,(
% 1.70/0.51 (((!! @ dtree @ (^[Y0 : dtree]: (!! @ set @ n @ (^[Y1 : set @ n]: ((member @ n @ (root @ Y0) @ Y1) => (gram_L716654942_subtr @ Y1 @ Y0 @ Y0))))))) = $true)),
% 1.70/0.51 inference(cnf_transformation,[],[f410])).
% 1.70/0.51 thf(f1190,plain,(
% 1.70/0.51 (gram_L1918716148le_reg = (^[Y0 : n > dtree]: ((^[Y1 : dtree]: (!! @ dtree @ (^[Y2 : dtree]: (!! @ set @ n @ (^[Y3 : set @ n]: ((gram_L716654942_subtr @ Y3 @ Y2 @ Y1) => ((Y0 @ (root @ Y2)) = Y2))))))))))),
% 1.70/0.51 inference(cnf_transformation,[],[f760])).
% 1.70/0.51 thf(f1209,plain,(
% 1.70/0.51 ( ! [X0 : $tType] : ((((!! @ X0 @ (^[Y0 : X0]: (top_top @ (X0 > $o) @ Y0)))) = $true)) )),
% 1.70/0.51 inference(cnf_transformation,[],[f943])).
% 1.70/0.51 thf(f1284,plain,(
% 1.70/0.51 (((~ (tr = (f @ (root @ tr))))) = $true)),
% 1.70/0.51 inference(cnf_transformation,[],[f612])).
% 1.70/0.51 thf(f1366,plain,(
% 1.70/0.51 ((((^[Y0 : n > dtree]: ((^[Y1 : dtree]: (!! @ dtree @ (^[Y2 : dtree]: (!! @ set @ n @ (^[Y3 : set @ n]: ((gram_L716654942_subtr @ Y3 @ Y2 @ Y1) => ((Y0 @ (root @ Y2)) = Y2))))))))) @ f @ tr)) = $true)),
% 1.70/0.51 inference(definition_unfolding,[],[f1093,f1190])).
% 1.70/0.51 thf(f1402,plain,(
% 1.70/0.51 ( ! [X0 : $tType] : ((((!! @ X0 @ top_top @ (X0 > $o))) = $true)) )),
% 1.70/0.51 inference(beta-eta_normalization,[],[f1209])).
% 1.70/0.51 thf(f1403,plain,(
% 1.70/0.51 (((!! @ dtree @ (^[Y0 : dtree]: (!! @ set @ n @ (^[Y1 : set @ n]: ((gram_L716654942_subtr @ Y1 @ Y0 @ tr) => ((f @ (root @ Y0)) = Y0))))))) = $true)),
% 1.70/0.51 inference(beta-eta_normalization,[],[f1366])).
% 1.70/0.51 thf(f1422,plain,(
% 1.70/0.51 ( ! [X0 : $tType] : ((top_top @ (X0 > $o) = (^[Y0 : X0]: (member @ X0 @ Y0 @ top_top @ set @ X0)))) )),
% 1.70/0.51 inference(equality_proxy_clausification,[],[f1152])).
% 1.70/0.51 thf(f1442,plain,(
% 1.70/0.51 (((tr = (f @ (root @ tr)))) = $false)),
% 1.70/0.51 inference(not_proxy_clausification,[],[f1284])).
% 1.70/0.51 thf(f1474,plain,(
% 1.70/0.51 (tr != ((f @ (root @ tr))))),
% 1.70/0.51 inference(equality_proxy_clausification,[],[f1442])).
% 1.70/0.51 thf(f1491,plain,(
% 1.70/0.51 ( ! [X0 : $tType,X1 : X0] : ((((top_top @ (X0 > $o) @ X1)) = $true)) )),
% 1.70/0.51 inference(pi_proxy_clausification,[],[f1402])).
% 1.70/0.51 thf(f1533,plain,(
% 1.70/0.51 ( ! [X0 : $tType,X1 : X0] : ((((top_top @ (X0 > $o) @ X1)) = (((^[Y0 : X0]: (member @ X0 @ Y0 @ top_top @ set @ X0)) @ X1)))) )),
% 1.70/0.51 inference(argument_congruence,[],[f1422])).
% 1.70/0.51 thf(f1534,plain,(
% 1.70/0.51 ( ! [X0 : $tType,X1 : X0] : ((((member @ X0 @ X1 @ top_top @ set @ X0)) = ((top_top @ (X0 > $o) @ X1)))) )),
% 1.70/0.51 inference(beta-eta_normalization,[],[f1533])).
% 1.70/0.51 thf(f1535,plain,(
% 1.70/0.51 ( ! [X0 : $tType,X1 : X0] : ((((member @ X0 @ X1 @ top_top @ set @ X0)) = $true)) )),
% 1.70/0.51 inference(forward_demodulation,[],[f1534,f1491])).
% 1.70/0.51 thf(f1985,plain,(
% 1.70/0.51 ( ! [X1 : dtree] : (((((^[Y0 : dtree]: (!! @ set @ n @ (^[Y1 : set @ n]: ((member @ n @ (root @ Y0) @ Y1) => (gram_L716654942_subtr @ Y1 @ Y0 @ Y0))))) @ X1)) = $true)) )),
% 1.70/0.51 inference(pi_proxy_clausification,[],[f1181])).
% 1.70/0.51 thf(f1986,plain,(
% 1.70/0.51 ( ! [X1 : dtree] : ((((!! @ set @ n @ (^[Y0 : set @ n]: ((member @ n @ (root @ X1) @ Y0) => (gram_L716654942_subtr @ Y0 @ X1 @ X1))))) = $true)) )),
% 1.70/0.51 inference(beta-eta_normalization,[],[f1985])).
% 1.70/0.51 thf(f1998,plain,(
% 1.70/0.51 ( ! [X2 : set @ n,X1 : dtree] : (((((^[Y0 : set @ n]: ((member @ n @ (root @ X1) @ Y0) => (gram_L716654942_subtr @ Y0 @ X1 @ X1))) @ X2)) = $true)) )),
% 1.70/0.51 inference(pi_proxy_clausification,[],[f1986])).
% 1.70/0.51 thf(f1999,plain,(
% 1.70/0.51 ( ! [X2 : set @ n,X1 : dtree] : (((((member @ n @ (root @ X1) @ X2) => (gram_L716654942_subtr @ X2 @ X1 @ X1))) = $true)) )),
% 1.70/0.51 inference(beta-eta_normalization,[],[f1998])).
% 1.70/0.51 thf(f2000,plain,(
% 1.70/0.51 ( ! [X2 : set @ n,X1 : dtree] : ((((gram_L716654942_subtr @ X2 @ X1 @ X1)) = $true) | ($false = ((member @ n @ (root @ X1) @ X2)))) )),
% 1.70/0.51 inference(imp_proxy_clausification,[],[f1999])).
% 1.70/0.51 thf(f2010,plain,(
% 1.70/0.51 ( ! [X1 : dtree] : (((((^[Y0 : dtree]: (!! @ set @ n @ (^[Y1 : set @ n]: ((gram_L716654942_subtr @ Y1 @ Y0 @ tr) => ((f @ (root @ Y0)) = Y0))))) @ X1)) = $true)) )),
% 1.70/0.51 inference(pi_proxy_clausification,[],[f1403])).
% 1.70/0.51 thf(f2011,plain,(
% 1.70/0.51 ( ! [X1 : dtree] : ((((!! @ set @ n @ (^[Y0 : set @ n]: ((gram_L716654942_subtr @ Y0 @ X1 @ tr) => ((f @ (root @ X1)) = X1))))) = $true)) )),
% 1.70/0.51 inference(beta-eta_normalization,[],[f2010])).
% 1.70/0.51 thf(f2026,plain,(
% 1.70/0.51 ( ! [X2 : set @ n,X1 : dtree] : (((((^[Y0 : set @ n]: ((gram_L716654942_subtr @ Y0 @ X1 @ tr) => ((f @ (root @ X1)) = X1))) @ X2)) = $true)) )),
% 1.70/0.51 inference(pi_proxy_clausification,[],[f2011])).
% 1.70/0.51 thf(f2027,plain,(
% 1.70/0.51 ( ! [X2 : set @ n,X1 : dtree] : (((((gram_L716654942_subtr @ X2 @ X1 @ tr) => ((f @ (root @ X1)) = X1))) = $true)) )),
% 1.70/0.51 inference(beta-eta_normalization,[],[f2026])).
% 1.70/0.51 thf(f2028,plain,(
% 1.70/0.51 ( ! [X2 : set @ n,X1 : dtree] : (($false = ((gram_L716654942_subtr @ X2 @ X1 @ tr))) | ((((f @ (root @ X1)) = X1)) = $true)) )),
% 1.70/0.51 inference(imp_proxy_clausification,[],[f2027])).
% 1.70/0.51 thf(f2029,plain,(
% 1.70/0.51 ( ! [X2 : set @ n,X1 : dtree] : (($false = ((gram_L716654942_subtr @ X2 @ X1 @ tr))) | (((f @ (root @ X1))) = X1)) )),
% 1.70/0.51 inference(equality_proxy_clausification,[],[f2028])).
% 1.70/0.51 thf(f2030,plain,(
% 1.70/0.51 ( ! [X0 : set @ n] : (($false = $true) | (tr = ((f @ (root @ tr)))) | (((member @ n @ (root @ tr) @ X0)) = $false)) )),
% 1.70/0.51 inference(superposition,[],[f2029,f2000])).
% 1.70/0.51 thf(f2034,plain,(
% 1.70/0.51 ( ! [X0 : set @ n] : ((((member @ n @ (root @ tr) @ X0)) = $false) | (tr = ((f @ (root @ tr))))) )),
% 1.70/0.51 inference(trivial_inequality_removal,[],[f2030])).
% 1.70/0.51 thf(f2036,plain,(
% 1.70/0.51 ( ! [X0 : set @ n] : ((((member @ n @ (root @ tr) @ X0)) = $false)) )),
% 1.70/0.51 inference(forward_subsumption_resolution,[],[f2034,f1474])).
% 1.70/0.51 thf(f2043,plain,(
% 1.70/0.51 ($false = $true)),
% 1.70/0.51 inference(superposition,[],[f1535,f2036])).
% 1.70/0.51 thf(f2048,plain,(
% 1.70/0.51 $false),
% 1.70/0.51 inference(trivial_inequality_removal,[],[f2043])).
% 1.70/0.51 % SZS output end Proof for theBenchmark
% 1.70/0.51 % (2436972)------------------------------
% 1.70/0.51 % (2436972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.51 % (2436972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.51 % (2436972)CaDiCaL version: 2.1.3
% 1.70/0.51 % (2436972)Termination reason: Refutation
% 1.70/0.51 % (2436972)Time elapsed: 0.071 s
% 1.70/0.51 % (2436972)Peak memory usage: 14 MB
% 1.70/0.51 % (2436972)Instructions burned: 267 (million)
% 1.70/0.51 % (2436909)Success in time 0.277 s
% 1.70/0.51 % Vampire exiting
%------------------------------------------------------------------------------