%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP043^1 : 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 : n016.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 08:08:05 AM UTC 2026
% Result : Theorem 1.46s 0.58s
% Output : Refutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP043^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n016.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 19:45:35 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.22/0.26 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
% 0.72/0.43 % (817406)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.72/0.43 % (817411)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=486959152:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.72/0.43 % (817412)lrs+10_16_si=on:nwc=1.5:random_seed=1410721334:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.72/0.43 % (817413)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3426803905:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.72/0.43 % (817414)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=1689828687: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)
% 0.72/0.43 % (817415)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1539926043:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.72/0.43 % (817417)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.72/0.43 % (817417)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
% 0.72/0.43 % (817413)Instruction limit reached!
% 0.72/0.43 % (817413)------------------------------
% 0.72/0.43 % (817413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.43 % (817413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.43 % (817413)CaDiCaL version: 2.1.3
% 0.72/0.43 % (817413)Termination reason: Instruction limit
% 0.72/0.43 % (817413)Termination phase: shuffling
% 0.72/0.43 % (817413)Time elapsed: 0.004 s
% 0.72/0.43 % (817413)Peak memory usage: 10 MB
% 0.72/0.43 % (817413)Instructions burned: 4 (million)
% 0.72/0.43 % (817417)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=1848825070:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.72/0.43 % (817416)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1358910721:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.72/0.43 % (817412)Instruction limit reached!
% 0.72/0.43 % (817412)------------------------------
% 0.72/0.43 % (817412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.43 % (817412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.43 % (817412)CaDiCaL version: 2.1.3
% 0.72/0.43 % (817412)Termination reason: Instruction limit
% 0.72/0.43 % (817412)Termination phase: Property scanning
% 0.72/0.43 % (817412)Time elapsed: 0.016 s
% 0.72/0.43 % (817412)Peak memory usage: 10 MB
% 0.72/0.43 % (817412)Instructions burned: 19 (million)
% 0.72/0.43 % (817411)Instruction limit reached!
% 0.72/0.43 % (817411)------------------------------
% 0.72/0.43 % (817411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.43 % (817411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.43 % (817411)CaDiCaL version: 2.1.3
% 0.72/0.43 % (817411)Termination reason: Instruction limit
% 0.72/0.43 % (817411)Termination phase: Property scanning
% 0.72/0.43 % (817411)Time elapsed: 0.039 s
% 0.72/0.43 % (817411)Peak memory usage: 12 MB
% 0.72/0.43 % (817411)Instructions burned: 87 (million)
% 0.72/0.43 % (817415)Instruction limit reached!
% 0.72/0.43 % (817415)------------------------------
% 0.72/0.43 % (817415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.43 % (817415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.43 % (817415)CaDiCaL version: 2.1.3
% 0.72/0.43 % (817415)Termination reason: Instruction limit
% 0.72/0.43 % (817415)Termination phase: Property scanning
% 0.72/0.43 % (817415)Time elapsed: 0.033 s
% 0.72/0.43 % (817415)Peak memory usage: 10 MB
% 0.72/0.43 % (817415)Instructions burned: 24 (million)
% 0.72/0.43 % (817427)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.72/0.43 % (817427)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2793258506:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.72/0.46 % (817425)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2969775675:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.72/0.46 % (817427)Instruction limit reached!
% 0.72/0.46 % (817427)------------------------------
% 0.72/0.46 % (817427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.46 % (817427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.46 % (817427)CaDiCaL version: 2.1.3
% 0.72/0.46 % (817427)Termination reason: Instruction limit
% 0.72/0.46 % (817427)Termination phase: shuffling
% 0.72/0.46 % (817427)Time elapsed: 0.002 s
% 0.72/0.46 % (817427)Peak memory usage: 10 MB
% 0.72/0.46 % (817427)Instructions burned: 10 (million)
% 0.72/0.46 % (817426)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2775625790:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.72/0.46 % (817425)Instruction limit reached!
% 0.72/0.46 % (817425)------------------------------
% 0.72/0.46 % (817425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.46 % (817425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.46 % (817425)CaDiCaL version: 2.1.3
% 0.72/0.46 % (817425)Termination reason: Instruction limit
% 0.72/0.46 % (817425)Termination phase: shuffling
% 0.72/0.46 % (817425)Time elapsed: 0.003 s
% 0.72/0.46 % (817425)Peak memory usage: 10 MB
% 0.72/0.46 % (817425)Instructions burned: 3 (million)
% 0.72/0.46 % (817426)Instruction limit reached!
% 0.72/0.46 % (817426)------------------------------
% 0.72/0.46 % (817426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.46 % (817426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.46 % (817426)CaDiCaL version: 2.1.3
% 0.72/0.46 % (817426)Termination reason: Instruction limit
% 0.72/0.46 % (817426)Termination phase: shuffling
% 0.72/0.46 % (817426)Time elapsed: 0.003 s
% 0.72/0.46 % (817426)Peak memory usage: 10 MB
% 0.72/0.46 % (817426)Instructions burned: 7 (million)
% 0.72/0.46 % (817431)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
% 0.72/0.46 % (817431)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.72/0.46 % (817431)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2017733861:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.72/0.46 % (817431)Instruction limit reached!
% 0.72/0.46 % (817431)------------------------------
% 0.72/0.46 % (817431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.46 % (817431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.46 % (817431)CaDiCaL version: 2.1.3
% 0.72/0.46 % (817431)Termination reason: Instruction limit
% 0.72/0.46 % (817431)Termination phase: shuffling
% 0.72/0.46 % (817431)Time elapsed: 0.007 s
% 0.72/0.46 % (817431)Peak memory usage: 10 MB
% 0.72/0.46 % (817431)Instructions burned: 29 (million)
% 0.72/0.46 % (817433)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=1869704611:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.72/0.46 % (817434)lrs+10_1_si=on:cs=on:random_seed=1931896357:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.72/0.46 % (817428)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3323075642:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.72/0.46 % (817434)Instruction limit reached!
% 0.72/0.46 % (817434)------------------------------
% 0.72/0.46 % (817434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.46 % (817434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.46 % (817434)CaDiCaL version: 2.1.3
% 0.72/0.46 % (817434)Termination reason: Instruction limit
% 0.72/0.46 % (817434)Termination phase: shuffling
% 0.72/0.46 % (817434)Time elapsed: 0.004 s
% 0.72/0.46 % (817434)Peak memory usage: 10 MB
% 0.72/0.46 % (817434)Instructions burned: 8 (million)
% 0.72/0.46 % (817428)Instruction limit reached!
% 0.72/0.46 % (817428)------------------------------
% 0.72/0.46 % (817428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.49 % (817416)Instruction limit reached!
% 0.72/0.49 % (817416)------------------------------
% 0.72/0.49 % (817416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.49 % (817416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.49 % (817428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.49 % (817416)CaDiCaL version: 2.1.3
% 0.72/0.49 % (817428)CaDiCaL version: 2.1.3
% 0.72/0.49 % (817416)Termination reason: Instruction limit
% 0.72/0.49 % (817416)Termination phase: Equality resolution with deletion
% 0.72/0.49 % (817428)Termination reason: Instruction limit
% 0.72/0.49 % (817428)Termination phase: shuffling
% 0.72/0.49 % (817416)Time elapsed: 0.063 s
% 0.72/0.49 % (817428)Time elapsed: 0.006 s
% 0.72/0.49 % (817416)Peak memory usage: 12 MB
% 0.72/0.49 % (817428)Peak memory usage: 10 MB
% 0.72/0.49 % (817416)Instructions burned: 75 (million)
% 0.72/0.49 % (817428)Instructions burned: 14 (million)
% 0.72/0.49 % (817440)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4269202383:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.72/0.49 % (817436)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.72/0.49 % (817441)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=716935227:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.72/0.49 % (817440)Instruction limit reached!
% 0.72/0.49 % (817440)------------------------------
% 0.72/0.49 % (817440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.49 % (817442)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1960664290:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.72/0.49 % (817440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.49 % (817440)CaDiCaL version: 2.1.3
% 0.72/0.49 % (817440)Termination reason: Instruction limit
% 0.72/0.49 % (817440)Termination phase: Property scanning
% 0.72/0.49 % (817440)Time elapsed: 0.010 s
% 0.72/0.49 % (817440)Peak memory usage: 11 MB
% 0.72/0.49 % (817440)Instructions burned: 42 (million)
% 0.72/0.49 % (817436)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=3628470324:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.72/0.49 % (817436)Instruction limit reached!
% 0.72/0.49 % (817436)------------------------------
% 0.72/0.49 % (817436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.49 % (817436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.49 % (817436)CaDiCaL version: 2.1.3
% 0.72/0.49 % (817436)Termination reason: Instruction limit
% 0.72/0.49 % (817436)Termination phase: shuffling
% 0.72/0.49 % (817436)Time elapsed: 0.002 s
% 0.72/0.49 % (817436)Peak memory usage: 10 MB
% 0.72/0.49 % (817436)Instructions burned: 3 (million)
% 0.72/0.49 % (817433)Instruction limit reached!
% 0.72/0.49 % (817433)------------------------------
% 0.72/0.49 % (817433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.49 % (817433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.49 % (817433)CaDiCaL version: 2.1.3
% 0.72/0.49 % (817433)Termination reason: Instruction limit
% 0.72/0.49 % (817433)Termination phase: Property scanning
% 0.72/0.49 % (817433)Time elapsed: 0.037 s
% 0.72/0.49 % (817433)Peak memory usage: 11 MB
% 0.72/0.49 % (817433)Instructions burned: 88 (million)
% 0.72/0.49 % (817446)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3167603238:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.72/0.49 % (817442)Instruction limit reached!
% 0.72/0.49 % (817442)------------------------------
% 0.72/0.49 % (817442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.72/0.49 % (817442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.72/0.49 % (817442)CaDiCaL version: 2.1.3
% 0.72/0.49 % (817442)Termination reason: Instruction limit
% 0.72/0.49 % (817442)Termination phase: SInE selection
% 0.72/0.49 % (817442)Time elapsed: 0.012 s
% 0.72/0.49 % (817442)Peak memory usage: 10 MB
% 0.72/0.49 % (817442)Instructions burned: 26 (million)
% 0.72/0.49 % (817446)Instruction limit reached!
% 1.46/0.55 % (817446)------------------------------
% 1.46/0.55 % (817446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.55 % (817446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.55 % (817446)CaDiCaL version: 2.1.3
% 1.46/0.55 % (817446)Termination reason: Instruction limit
% 1.46/0.55 % (817446)Termination phase: Property scanning
% 1.46/0.55 % (817446)Time elapsed: 0.004 s
% 1.46/0.55 % (817446)Peak memory usage: 10 MB
% 1.46/0.55 % (817446)Instructions burned: 16 (million)
% 1.46/0.55 % (817452)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1568308004:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.46/0.55 % (817448)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1776292019:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.46/0.55 % (817450)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3179506312:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.55 % (817417)Instruction limit reached!
% 1.46/0.55 % (817417)------------------------------
% 1.46/0.55 % (817417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.55 % (817417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.55 % (817417)CaDiCaL version: 2.1.3
% 1.46/0.55 % (817417)Termination reason: Instruction limit
% 1.46/0.55 % (817417)Termination phase: Saturation
% 1.46/0.55 % (817417)Time elapsed: 0.113 s
% 1.46/0.55 % (817417)Peak memory usage: 14 MB
% 1.46/0.55 % (817417)Instructions burned: 158 (million)
% 1.46/0.55 % (817451)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2860582424:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.46/0.55 % (817452)Instruction limit reached!
% 1.46/0.55 % (817452)------------------------------
% 1.46/0.55 % (817452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.55 % (817441)Refutation not found, incomplete strategy
% 1.46/0.55 % (817441)------------------------------
% 1.46/0.55 % (817441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.55 % (817452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.55 % (817441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.55 % (817441)CaDiCaL version: 2.1.3
% 1.46/0.55 % (817452)CaDiCaL version: 2.1.3
% 1.46/0.55 % (817441)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.55 % (817441)Time elapsed: 0.032 s
% 1.46/0.55 % (817452)Termination reason: Instruction limit
% 1.46/0.55 % (817452)Termination phase: shuffling
% 1.46/0.55 % (817441)Peak memory usage: 13 MB
% 1.46/0.55 % (817452)Time elapsed: 0.006 s
% 1.46/0.55 % (817441)Instructions burned: 67 (million)
% 1.46/0.55 % (817452)Peak memory usage: 10 MB
% 1.46/0.55 % (817452)Instructions burned: 27 (million)
% 1.46/0.55 % (817441)------------------------------
% 1.46/0.55 % (817441)------------------------------
% 1.46/0.55 % (817451)Instruction limit reached!
% 1.46/0.55 % (817451)------------------------------
% 1.46/0.55 % (817451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.55 % (817451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.55 % (817451)CaDiCaL version: 2.1.3
% 1.46/0.55 % (817451)Termination reason: Instruction limit
% 1.46/0.55 % (817451)Termination phase: shuffling
% 1.46/0.55 % (817451)Time elapsed: 0.002 s
% 1.46/0.55 % (817451)Peak memory usage: 10 MB
% 1.46/0.55 % (817451)Instructions burned: 4 (million)
% 1.46/0.55 % (817450)Instruction limit reached!
% 1.46/0.55 % (817450)------------------------------
% 1.46/0.55 % (817450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.55 % (817450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.55 % (817450)CaDiCaL version: 2.1.3
% 1.46/0.55 % (817450)Termination reason: Instruction limit
% 1.46/0.55 % (817450)Termination phase: shuffling
% 1.46/0.55 % (817450)Time elapsed: 0.007 s
% 1.46/0.55 % (817450)Peak memory usage: 10 MB
% 1.46/0.55 % (817450)Instructions burned: 15 (million)
% 1.46/0.55 % (817458)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1385663467:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.46/0.55 % (817459)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
% 1.46/0.58 % (817459)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.46/0.58 % (817460)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.46/0.58 % (817459)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=4183116508:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.58 % (817460)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=3008348603:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.46/0.58 % (817461)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=1735780577:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.46/0.58 % (817458)Instruction limit reached!
% 1.46/0.58 % (817458)------------------------------
% 1.46/0.58 % (817458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.58 % (817458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.58 % (817458)CaDiCaL version: 2.1.3
% 1.46/0.58 % (817458)Termination reason: Instruction limit
% 1.46/0.58 % (817458)Termination phase: Property scanning
% 1.46/0.58 % (817458)Time elapsed: 0.015 s
% 1.46/0.58 % (817458)Peak memory usage: 11 MB
% 1.46/0.58 % (817458)Instructions burned: 64 (million)
% 1.46/0.58 % (817460)Instruction limit reached!
% 1.46/0.58 % (817460)------------------------------
% 1.46/0.58 % (817460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.58 % (817460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.58 % (817460)CaDiCaL version: 2.1.3
% 1.46/0.58 % (817460)Termination reason: Instruction limit
% 1.46/0.58 % (817460)Termination phase: shuffling
% 1.46/0.58 % (817460)Time elapsed: 0.004 s
% 1.46/0.58 % (817460)Peak memory usage: 10 MB
% 1.46/0.58 % (817460)Instructions burned: 9 (million)
% 1.46/0.58 % (817459)Instruction limit reached!
% 1.46/0.58 % (817459)------------------------------
% 1.46/0.58 % (817459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.58 % (817459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.58 % (817459)CaDiCaL version: 2.1.3
% 1.46/0.58 % (817459)Termination reason: Instruction limit
% 1.46/0.58 % (817459)Termination phase: shuffling
% 1.46/0.58 % (817459)Time elapsed: 0.007 s
% 1.46/0.58 % (817459)Peak memory usage: 10 MB
% 1.46/0.58 % (817459)Instructions burned: 16 (million)
% 1.46/0.58 % (817456)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=431536510:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.46/0.58 % (817466)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1466982414:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.46/0.58 % (817461)Instruction limit reached!
% 1.46/0.58 % (817461)------------------------------
% 1.46/0.58 % (817461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.58 % (817461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.58 % (817461)CaDiCaL version: 2.1.3
% 1.46/0.58 % (817461)Termination reason: Instruction limit
% 1.46/0.58 % (817461)Termination phase: shuffling
% 1.46/0.58 % (817461)Time elapsed: 0.014 s
% 1.46/0.58 % (817461)Peak memory usage: 10 MB
% 1.46/0.58 % (817461)Instructions burned: 31 (million)
% 1.46/0.58 % (817466)Instruction limit reached!
% 1.46/0.58 % (817466)------------------------------
% 1.46/0.58 % (817466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.58 % (817466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.58 % (817466)CaDiCaL version: 2.1.3
% 1.46/0.58 % (817466)Termination reason: Instruction limit
% 1.46/0.58 % (817466)Termination phase: shuffling
% 1.46/0.58 % (817466)Time elapsed: 0.003 s
% 1.46/0.58 % (817466)Peak memory usage: 10 MB
% 1.46/0.58 % (817466)Instructions burned: 14 (million)
% 1.46/0.58 % (817467)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2837958330:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.46/0.58 % (817468)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1813930415:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.46/0.58 % (817472)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=684469897:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.46/0.58 % (817471)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2734233061:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.46/0.58 % (817468)Instruction limit reached!
% 1.46/0.58 % (817468)------------------------------
% 1.46/0.58 % (817468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.58 % (817468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.58 % (817468)CaDiCaL version: 2.1.3
% 1.46/0.58 % (817468)Termination reason: Instruction limit
% 1.46/0.58 % (817468)Termination phase: Property scanning
% 1.46/0.58 % (817468)Time elapsed: 0.009 s
% 1.46/0.58 % (817468)Peak memory usage: 10 MB
% 1.46/0.58 % (817468)Instructions burned: 21 (million)
% 1.46/0.58 % (817456)Instruction limit reached!
% 1.46/0.58 % (817456)------------------------------
% 1.46/0.58 % (817456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.58 % (817456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.58 % (817456)CaDiCaL version: 2.1.3
% 1.46/0.58 % (817456)Termination reason: Instruction limit
% 1.46/0.58 % (817456)Termination phase: Property scanning
% 1.46/0.58 % (817456)Time elapsed: 0.024 s
% 1.46/0.58 % (817456)Peak memory usage: 10 MB
% 1.46/0.58 % (817456)Instructions burned: 24 (million)
% 1.46/0.58 % (817467)Instruction limit reached!
% 1.46/0.58 % (817467)------------------------------
% 1.46/0.58 % (817467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.58 % (817467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.58 % (817467)CaDiCaL version: 2.1.3
% 1.46/0.58 % (817467)Termination reason: Instruction limit
% 1.46/0.58 % (817467)Termination phase: shuffling
% 1.46/0.58 % (817467)Time elapsed: 0.011 s
% 1.46/0.58 % (817467)Peak memory usage: 10 MB
% 1.46/0.58 % (817467)Instructions burned: 25 (million)
% 1.46/0.58 % (817477)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4212004924:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.46/0.58 % (817478)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=910931529:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.46/0.58 % (817479)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.46/0.58 % (817472)Instruction limit reached!
% 1.46/0.58 % (817472)------------------------------
% 1.46/0.58 % (817472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.58 % (817472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.58 % (817472)CaDiCaL version: 2.1.3
% 1.46/0.58 % (817472)Termination reason: Instruction limit
% 1.46/0.58 % (817472)Termination phase: Saturation
% 1.46/0.58 % (817472)Time elapsed: 0.035 s
% 1.46/0.58 % (817472)Peak memory usage: 14 MB
% 1.46/0.58 % (817472)Instructions burned: 147 (million)
% 1.46/0.58 % (817479)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1820105532:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.46/0.58 % (817478)Instruction limit reached!
% 1.46/0.58 % (817478)------------------------------
% 1.46/0.58 % (817478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.58 % (817478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.58 % (817478)CaDiCaL version: 2.1.3
% 1.46/0.58 % (817478)Termination reason: Instruction limit
% 1.46/0.58 % (817478)Termination phase: Preprocessing 3
% 1.46/0.58 % (817478)Time elapsed: 0.019 s
% 1.46/0.58 % (817478)Peak memory usage: 11 MB
% 1.46/0.58 % (817478)Instructions burned: 42 (million)
% 1.46/0.58 % (817482)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=409643316:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.46/0.58 % (817479)Instruction limit reached!
% 1.46/0.58 % (817479)------------------------------
% 1.46/0.58 % (817479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.58 % (817479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.58 % (817479)CaDiCaL version: 2.1.3
% 1.46/0.58 % (817479)Termination reason: Instruction limit
% 1.46/0.58 % (817479)Termination phase: shuffling
% 1.46/0.58 % (817479)Time elapsed: 0.010 s
% 1.46/0.58 % (817479)Peak memory usage: 10 MB
% 1.46/0.58 % (817479)Instructions burned: 11 (million)
% 1.46/0.58 % (817484)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=3829842840: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)
% 1.46/0.58 % (817477) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-817406-817477"...
% 1.46/0.58 % (817486)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.46/0.58 % (817477)...printing done.
% 1.46/0.58 % (817477)Refutation found. Thanks to Tanya!
% 1.46/0.58 % SZS status Theorem for theBenchmark
% 1.46/0.58 % SZS output start Proof for theBenchmark
% 1.46/0.58 thf(type_def_5, type, list_list_nat: $tType).
% 1.46/0.58 thf(type_def_6, type, list_list_a: $tType).
% 1.46/0.58 thf(type_def_7, type, list_nat: $tType).
% 1.46/0.58 thf(type_def_8, type, list_a: $tType).
% 1.46/0.58 thf(type_def_9, type, nat: $tType).
% 1.46/0.58 thf(type_def_10, type, int: $tType).
% 1.46/0.58 thf(type_def_11, type, a: $tType).
% 1.46/0.58 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 1.46/0.58 thf(func_def_0, type, descar226543321ms_nat: (list_nat > list_nat)).
% 1.46/0.58 thf(func_def_1, type, descar1375166517sums_a: (list_a > list_a)).
% 1.46/0.58 thf(func_def_2, type, plus_plus_int: (int > int > int)).
% 1.46/0.58 thf(func_def_3, type, plus_plus_nat: (nat > nat > nat)).
% 1.46/0.58 thf(func_def_4, type, plus_plus_a: (a > a > a)).
% 1.46/0.58 thf(func_def_5, type, zero_zero_int: int).
% 1.46/0.58 thf(func_def_6, type, zero_zero_nat: nat).
% 1.46/0.58 thf(func_def_7, type, zero_zero_a: a).
% 1.46/0.58 thf(func_def_8, type, append_nat: (list_nat > list_nat > list_nat)).
% 1.46/0.58 thf(func_def_9, type, append_a: (list_a > list_a > list_a)).
% 1.46/0.58 thf(func_def_10, type, last_nat: (list_nat > nat)).
% 1.46/0.58 thf(func_def_11, type, last_a: (list_a > a)).
% 1.46/0.58 thf(func_def_12, type, cons_list_nat: (list_nat > list_list_nat > list_list_nat)).
% 1.46/0.58 thf(func_def_13, type, cons_list_a: (list_a > list_list_a > list_list_a)).
% 1.46/0.58 thf(func_def_14, type, cons_nat: (nat > list_nat > list_nat)).
% 1.46/0.58 thf(func_def_15, type, cons_a: (a > list_a > list_a)).
% 1.46/0.58 thf(func_def_16, type, nil_list_nat: list_list_nat).
% 1.46/0.58 thf(func_def_17, type, nil_list_a: list_list_a).
% 1.46/0.58 thf(func_def_18, type, nil_nat: list_nat).
% 1.46/0.58 thf(func_def_19, type, nil_a: list_a).
% 1.46/0.58 thf(func_def_20, type, nth_nat: (list_nat > nat > nat)).
% 1.46/0.58 thf(func_def_21, type, nth_a: (list_a > nat > a)).
% 1.46/0.58 thf(func_def_22, type, replicate_nat: (nat > nat > list_nat)).
% 1.46/0.58 thf(func_def_23, type, replicate_a: (nat > a > list_a)).
% 1.46/0.58 thf(func_def_24, type, take_a: (nat > list_a > list_a)).
% 1.46/0.58 thf(func_def_25, type, size_size_list_nat: (list_nat > nat)).
% 1.46/0.58 thf(func_def_26, type, size_size_list_a: (list_a > nat)).
% 1.46/0.58 thf(func_def_27, type, ord_less_int: (int > int > $o)).
% 1.46/0.58 thf(func_def_28, type, ord_less_nat: (nat > nat > $o)).
% 1.46/0.58 thf(func_def_29, type, ord_less_a: (a > a > $o)).
% 1.46/0.58 thf(func_def_30, type, ord_less_eq_int: (int > int > $o)).
% 1.46/0.58 thf(func_def_31, type, ord_less_eq_nat: (nat > nat > $o)).
% 1.46/0.58 thf(func_def_32, type, ord_less_eq_a: (a > a > $o)).
% 1.46/0.58 thf(func_def_33, type, p: nat).
% 1.46/0.58 thf(func_def_34, type, v: (list_a > int)).
% 1.46/0.58 thf(func_def_35, type, xa: a).
% 1.46/0.58 thf(func_def_36, type, xs: list_a).
% 1.46/0.58 thf(func_def_37, type, xs1: list_a).
% 1.46/0.58 thf(func_def_38, type, xs2: list_a).
% 1.46/0.58 thf(func_def_39, type, xsa: list_a).
% 1.46/0.58 thf(func_def_41, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.46/0.58 thf(func_def_42, type, vNOT: ($o > $o)).
% 1.46/0.58 thf(func_def_45, type, vAND: ($o > $o > $o)).
% 1.46/0.58 thf(func_def_46, type, vIMP: ($o > $o > $o)).
% 1.46/0.58 thf(func_def_47, type, vOR: ($o > $o > $o)).
% 1.46/0.58 thf(func_def_48, type, db1: !>[X0: $tType]:(X0)).
% 1.46/0.58 thf(func_def_49, type, db0: !>[X0: $tType]:(X0)).
% 1.46/0.58 thf(func_def_50, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.46/0.58 thf(func_def_51, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.46/0.58 thf(func_def_52, type, db2: !>[X0: $tType]:(X0)).
% 1.46/0.58 thf(func_def_53, type, sK0: ((list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_54, type, sK1: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_55, type, sK2: ((nat > nat) > nat)).
% 1.46/0.58 thf(func_def_56, type, sK3: ((nat > nat) > nat)).
% 1.46/0.58 thf(func_def_57, type, sK4: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_58, type, sK5: ((list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_59, type, sK6: (list_a > list_a)).
% 1.46/0.58 thf(func_def_60, type, sK7: (list_a > a)).
% 1.46/0.58 thf(func_def_61, type, sK8: ((list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_62, type, sK9: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_63, type, sK10: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_64, type, sK11: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_65, type, sK12: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_66, type, sK13: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_67, type, sK14: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_68, type, sK15: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_69, type, sK16: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_70, type, sK17: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_71, type, sK18: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_72, type, sK19: (((a > a > $o) > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_73, type, sK20: (((a > a > $o) > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_74, type, sK21: (((a > a > $o) > list_a > $o) > a > a > $o)).
% 1.46/0.58 thf(func_def_75, type, sK22: (((a > a > $o) > list_a > $o) > a > a > $o)).
% 1.46/0.58 thf(func_def_76, type, sK23: (((a > a) > list_a > list_a > $o) > a > a)).
% 1.46/0.58 thf(func_def_77, type, sK24: (((a > a) > list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_78, type, sK25: (((a > a) > list_a > list_a > $o) > a > a)).
% 1.46/0.58 thf(func_def_79, type, sK26: (((a > a) > list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_80, type, sK27: (((a > a) > list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_81, type, sK28: (((a > a) > list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_82, type, sK29: (nat > nat > nat)).
% 1.46/0.58 thf(func_def_83, type, sK30: ((list_nat > list_a > $o) > list_nat)).
% 1.46/0.58 thf(func_def_84, type, sK31: ((list_nat > list_a > $o) > nat)).
% 1.46/0.58 thf(func_def_85, type, sK32: ((list_nat > list_a > $o) > nat)).
% 1.46/0.58 thf(func_def_86, type, sK33: ((list_nat > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_87, type, sK34: ((list_nat > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_88, type, sK35: ((list_nat > list_a > $o) > list_nat)).
% 1.46/0.58 thf(func_def_89, type, sK36: ((list_nat > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_90, type, sK37: ((list_nat > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_91, type, sK38: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_92, type, sK39: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_93, type, sK40: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_94, type, sK41: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_95, type, sK42: (list_nat > nat)).
% 1.46/0.58 thf(func_def_96, type, sK43: (list_nat > nat)).
% 1.46/0.58 thf(func_def_97, type, sK44: (list_nat > nat)).
% 1.46/0.58 thf(func_def_98, type, sK45: (list_nat > list_nat)).
% 1.46/0.58 thf(func_def_99, type, sK46: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_100, type, sK47: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_101, type, sK48: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_102, type, sK49: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_103, type, sK50: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_104, type, sK51: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_105, type, sK52: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_106, type, sK53: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_107, type, sK54: (((nat > nat > $o) > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_108, type, sK55: (((nat > nat > $o) > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_109, type, sK56: (((nat > nat > $o) > list_nat > $o) > nat > nat > $o)).
% 1.46/0.58 thf(func_def_110, type, sK57: (((nat > nat > $o) > list_nat > $o) > nat > nat > $o)).
% 1.46/0.58 thf(func_def_111, type, sK58: ((list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_112, type, sK59: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_113, type, sK60: (list_nat > list_nat)).
% 1.46/0.58 thf(func_def_114, type, sK61: (list_nat > nat)).
% 1.46/0.58 thf(func_def_115, type, sK62: (list_a > list_a > list_a)).
% 1.46/0.58 thf(func_def_116, type, sK63: (list_a > list_a > list_a)).
% 1.46/0.58 thf(func_def_117, type, sK64: (list_a > list_a > list_a)).
% 1.46/0.58 thf(func_def_118, type, sK65: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_119, type, sK66: ((list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_120, type, sK67: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_121, type, sK68: (list_a > a)).
% 1.46/0.58 thf(func_def_122, type, sK69: (list_a > list_a)).
% 1.46/0.58 thf(func_def_123, type, sK70: (list_a > list_a > nat > nat)).
% 1.46/0.58 thf(func_def_124, type, sK71: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_125, type, sK72: ((list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_126, type, sK73: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_127, type, sK74: ((nat > $o) > nat > nat)).
% 1.46/0.58 thf(func_def_128, type, sK75: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_129, type, sK76: ((list_nat > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_130, type, sK77: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_131, type, sK78: ((list_nat > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_132, type, sK79: ((list_nat > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_133, type, sK80: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_134, type, sK81: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_135, type, sK82: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_136, type, sK83: ((list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_137, type, sK84: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_138, type, sK85: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_139, type, sK86: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_140, type, sK87: ((list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_141, type, sK88: (list_a > list_a)).
% 1.46/0.58 thf(func_def_142, type, sK89: (list_a > a)).
% 1.46/0.58 thf(func_def_143, type, sK90: ((list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_144, type, sK91: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_145, type, sK92: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_146, type, sK93: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_147, type, sK94: ((list_nat > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_148, type, sK95: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_149, type, sK96: (nat > nat)).
% 1.46/0.58 thf(func_def_150, type, sK97: ((list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_151, type, sK98: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_152, type, sK99: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_153, type, sK100: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_154, type, sK101: (list_a > a)).
% 1.46/0.58 thf(func_def_155, type, sK102: (list_a > list_a)).
% 1.46/0.58 thf(func_def_156, type, sK103: (((nat > a) > list_nat > list_a > $o) > nat > a)).
% 1.46/0.58 thf(func_def_157, type, sK104: (((nat > a) > list_nat > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_158, type, sK105: (((nat > a) > list_nat > list_a > $o) > list_nat)).
% 1.46/0.58 thf(func_def_159, type, sK106: (((nat > a) > list_nat > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_160, type, sK107: (((nat > a) > list_nat > list_a > $o) > nat > a)).
% 1.46/0.58 thf(func_def_161, type, sK108: (((nat > a) > list_nat > list_a > $o) > nat)).
% 1.46/0.58 thf(func_def_162, type, sK109: ((list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_163, type, sK110: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_164, type, sK111: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_165, type, sK112: (list_nat > list_nat)).
% 1.46/0.58 thf(func_def_166, type, sK113: (list_nat > nat)).
% 1.46/0.58 thf(func_def_167, type, sK114: (((nat > nat) > list_nat > list_nat > $o) > nat > nat)).
% 1.46/0.58 thf(func_def_168, type, sK115: (((nat > nat) > list_nat > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_169, type, sK116: (((nat > nat) > list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_170, type, sK117: (((nat > nat) > list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_171, type, sK118: (((nat > nat) > list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_172, type, sK119: (((nat > nat) > list_nat > list_nat > $o) > nat > nat)).
% 1.46/0.58 thf(func_def_173, type, sK120: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_174, type, sK121: ((list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_175, type, sK122: (list_nat > nat)).
% 1.46/0.58 thf(func_def_176, type, sK123: (list_nat > list_nat)).
% 1.46/0.58 thf(func_def_177, type, sK124: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_178, type, sK125: ((list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_179, type, sK126: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_180, type, sK127: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_181, type, sK128: (((a > nat) > list_a > list_nat > $o) > a > nat)).
% 1.46/0.58 thf(func_def_182, type, sK129: (((a > nat) > list_a > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_183, type, sK130: (((a > nat) > list_a > list_nat > $o) > a > nat)).
% 1.46/0.58 thf(func_def_184, type, sK131: (((a > nat) > list_a > list_nat > $o) > list_a)).
% 1.46/0.58 thf(func_def_185, type, sK132: (((a > nat) > list_a > list_nat > $o) > a)).
% 1.46/0.58 thf(func_def_186, type, sK133: (((a > nat) > list_a > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_187, type, sK134: (list_a > list_a)).
% 1.46/0.58 thf(func_def_188, type, sK135: (list_a > a)).
% 1.46/0.58 thf(func_def_189, type, sK136: (list_a > a)).
% 1.46/0.58 thf(func_def_190, type, sK137: (list_a > a)).
% 1.46/0.58 thf(func_def_191, type, sK138: ((list_a > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_192, type, sK139: ((list_a > list_nat > $o) > a)).
% 1.46/0.58 thf(func_def_193, type, sK140: ((list_a > list_nat > $o) > list_a)).
% 1.46/0.58 thf(func_def_194, type, sK141: ((list_a > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_195, type, sK142: ((list_a > list_nat > $o) > a)).
% 1.46/0.58 thf(func_def_196, type, sK143: ((list_a > list_nat > $o) > list_a)).
% 1.46/0.58 thf(func_def_197, type, sK144: ((list_a > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_198, type, sK145: ((list_a > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_199, type, sK146: (nat > nat)).
% 1.46/0.58 thf(func_def_200, type, sK147: (list_nat > nat)).
% 1.46/0.58 thf(func_def_201, type, sK148: (list_nat > nat)).
% 1.46/0.58 thf(func_def_202, type, sK149: (list_nat > list_nat)).
% 1.46/0.58 thf(func_def_203, type, sK150: (list_nat > nat)).
% 1.46/0.58 thf(func_def_204, type, sK151: ((list_a > $o) > a)).
% 1.46/0.58 thf(func_def_205, type, sK152: ((list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_206, type, sK153: (((a > a > $o) > list_a > $o) > a > a > $o)).
% 1.46/0.58 thf(func_def_207, type, sK154: (((a > a > $o) > list_a > $o) > a > a > $o)).
% 1.46/0.58 thf(func_def_208, type, sK155: (((a > a > $o) > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_209, type, sK156: (((a > a > $o) > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_210, type, sK157: (((a > a > $o) > list_a > $o) > a > a > $o)).
% 1.46/0.58 thf(func_def_211, type, sK158: (((a > a > $o) > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_212, type, sK159: (((a > a > $o) > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_213, type, sK160: ((list_nat > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_214, type, sK161: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_215, type, sK162: ((list_nat > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_216, type, sK163: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_217, type, sK164: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_218, type, sK165: ((list_nat > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_219, type, sK166: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_220, type, sK167: ((list_nat > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_221, type, sK168: (((nat > nat > $o) > list_nat > $o) > nat > nat > $o)).
% 1.46/0.58 thf(func_def_222, type, sK169: (((nat > nat > $o) > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_223, type, sK170: (((nat > nat > $o) > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_224, type, sK171: (((nat > nat > $o) > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_225, type, sK172: (((nat > nat > $o) > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_226, type, sK173: (((nat > nat > $o) > list_nat > $o) > nat > nat > $o)).
% 1.46/0.58 thf(func_def_227, type, sK174: (((nat > nat > $o) > list_nat > $o) > nat > nat > $o)).
% 1.46/0.58 thf(func_def_228, type, sK175: ((list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_229, type, sK176: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_230, type, sK177: (list_a > list_a)).
% 1.46/0.58 thf(func_def_231, type, sK178: (list_a > a)).
% 1.46/0.58 thf(func_def_232, type, sK179: (list_a > a)).
% 1.46/0.58 thf(func_def_233, type, sK180: (list_a > a)).
% 1.46/0.58 thf(func_def_234, type, sK181: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_235, type, sK182: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_236, type, sK183: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_237, type, sK184: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_238, type, sK185: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_239, type, sK186: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_240, type, sK187: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_241, type, sK188: ((list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_242, type, sK189: ((list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_243, type, sK190: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_244, type, sK191: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_245, type, sK192: ((list_nat > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_246, type, sK193: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_247, type, sK194: ((list_nat > list_nat > $o) > nat)).
% 1.46/0.58 thf(func_def_248, type, sK195: ((list_nat > list_nat > $o) > list_nat)).
% 1.46/0.58 thf(func_def_249, type, sK196: (list_nat > list_nat)).
% 1.46/0.58 thf(func_def_250, type, sK197: (list_nat > nat)).
% 1.46/0.58 thf(func_def_251, type, sK198: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_252, type, sK199: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_253, type, sK200: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_254, type, sK201: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_255, type, sK202: ((list_a > list_a > $o) > a)).
% 1.46/0.58 thf(func_def_256, type, sK203: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_257, type, sK204: ((list_a > list_a > $o) > list_a)).
% 1.46/0.58 thf(func_def_258, type, sK205: (list_a > list_a > list_a > a > list_a)).
% 1.46/0.58 thf(func_def_259, type, sK206: (list_a > list_a > list_a > list_a > list_a)).
% 1.46/0.58 thf(func_def_260, type, sK207: (a > list_a > list_a > list_a > list_a)).
% 1.46/0.58 thf(func_def_261, type, sK208: (a > list_a > list_a > list_a > list_a)).
% 1.46/0.58 thf(f6,axiom,(
% 1.46/0.58 (xs1 = ((replicate_a @ p @ zero_zero_a)))),
% 1.46/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_xs1__def)).
% 1.46/0.58 thf(f7,axiom,(
% 1.46/0.58 (xsa = ((append_a @ xs1 @ (cons_a @ (nth_a @ xsa @ p) @ xs2))))),
% 1.46/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_xs__decompose)).
% 1.46/0.58 thf(f9,axiom,(
% 1.46/0.58 ! [X1 : list_a,X0 : nat] : (((descar1375166517sums_a @ (append_a @ (replicate_a @ X0 @ zero_zero_a) @ X1))) = ((append_a @ (replicate_a @ X0 @ zero_zero_a) @ (descar1375166517sums_a @ X1))))),
% 1.46/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_psums__replicate__0__append)).
% 1.46/0.58 thf(f352,conjecture,(
% 1.46/0.58 (((descar1375166517sums_a @ xsa)) = ((append_a @ (replicate_a @ p @ zero_zero_a) @ (descar1375166517sums_a @ (cons_a @ (nth_a @ xsa @ p) @ xs2)))))),
% 1.46/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.46/0.58 thf(f353,negated_conjecture,(
% 1.46/0.58 ~ (((descar1375166517sums_a @ xsa)) = ((append_a @ (replicate_a @ p @ zero_zero_a) @ (descar1375166517sums_a @ (cons_a @ (nth_a @ xsa @ p) @ xs2)))))),
% 1.46/0.58 inference(negated_conjecture,[status(cth)],[f352])).
% 1.46/0.59 thf(f694,plain,(
% 1.46/0.59 (((descar1375166517sums_a @ xsa)) != ((append_a @ (replicate_a @ p @ zero_zero_a) @ (descar1375166517sums_a @ (cons_a @ (nth_a @ xsa @ p) @ xs2)))))),
% 1.46/0.59 inference(flattening,[],[f353])).
% 1.46/0.59 thf(f924,plain,(
% 1.46/0.59 ! [X0 : list_a,X1 : nat] : (((descar1375166517sums_a @ (append_a @ (replicate_a @ X1 @ zero_zero_a) @ X0))) = ((append_a @ (replicate_a @ X1 @ zero_zero_a) @ (descar1375166517sums_a @ X0))))),
% 1.46/0.59 inference(rectify,[],[f9])).
% 1.46/0.59 thf(f1105,plain,(
% 1.46/0.59 ( ! [X0 : list_a,X1 : nat] : ((((descar1375166517sums_a @ (append_a @ (replicate_a @ X1 @ zero_zero_a) @ X0))) = ((append_a @ (replicate_a @ X1 @ zero_zero_a) @ (descar1375166517sums_a @ X0))))) )),
% 1.46/0.59 inference(cnf_transformation,[],[f924])).
% 1.46/0.59 thf(f1161,plain,(
% 1.46/0.59 (xsa = ((append_a @ xs1 @ (cons_a @ (nth_a @ xsa @ p) @ xs2))))),
% 1.46/0.59 inference(cnf_transformation,[],[f7])).
% 1.46/0.59 thf(f1250,plain,(
% 1.46/0.59 (((descar1375166517sums_a @ xsa)) != ((append_a @ (replicate_a @ p @ zero_zero_a) @ (descar1375166517sums_a @ (cons_a @ (nth_a @ xsa @ p) @ xs2)))))),
% 1.46/0.59 inference(cnf_transformation,[],[f694])).
% 1.46/0.59 thf(f1251,plain,(
% 1.46/0.59 (xs1 = ((replicate_a @ p @ zero_zero_a)))),
% 1.46/0.59 inference(cnf_transformation,[],[f6])).
% 1.46/0.59 thf(f1715,definition,(
% 1.46/0.59 spl209_2 <=> (xsa = ((append_a @ xs1 @ (cons_a @ (nth_a @ xsa @ p) @ xs2))))),
% 1.46/0.59 introduced(definition,[new_symbols(definition,[spl209_2])],[avatar_definition])).
% 1.46/0.59 thf(f1718,plain,(
% 1.46/0.59 spl209_2),
% 1.46/0.59 inference(avatar_split_clause,[],[f1161,f1715])).
% 1.46/0.59 thf(f1720,definition,(
% 1.46/0.59 spl209_3 <=> (xs1 = ((replicate_a @ p @ zero_zero_a)))),
% 1.46/0.59 introduced(definition,[new_symbols(definition,[spl209_3])],[avatar_definition])).
% 1.46/0.59 thf(f1723,plain,(
% 1.46/0.59 spl209_3),
% 1.46/0.59 inference(avatar_split_clause,[],[f1251,f1720])).
% 1.46/0.59 thf(f1754,plain,(
% 1.46/0.59 (((descar1375166517sums_a @ xsa)) != ((descar1375166517sums_a @ (append_a @ (replicate_a @ p @ zero_zero_a) @ (cons_a @ (nth_a @ xsa @ p) @ xs2)))))),
% 1.46/0.59 inference(forward_demodulation,[],[f1250,f1105])).
% 1.46/0.59 thf(f1761,definition,(
% 1.46/0.59 spl209_10 <=> (((descar1375166517sums_a @ xsa)) = ((descar1375166517sums_a @ (append_a @ (replicate_a @ p @ zero_zero_a) @ (cons_a @ (nth_a @ xsa @ p) @ xs2)))))),
% 1.46/0.59 introduced(definition,[new_symbols(definition,[spl209_10])],[avatar_definition])).
% 1.46/0.59 thf(f1764,plain,(
% 1.46/0.59 ~spl209_10),
% 1.46/0.59 inference(avatar_split_clause,[],[f1754,f1761])).
% 1.46/0.59 thf(f1765,definition,(
% 1.46/0.59 (xs1 != ((replicate_a @ p @ zero_zero_a))) | (xsa != ((append_a @ xs1 @ (cons_a @ (nth_a @ xsa @ p) @ xs2)))) | (((descar1375166517sums_a @ xsa)) = ((descar1375166517sums_a @ (append_a @ (replicate_a @ p @ zero_zero_a) @ (cons_a @ (nth_a @ xsa @ p) @ xs2)))))),
% 1.46/0.59 introduced(theory,[theory_tautology_sat_conflict])).
% 1.46/0.59 cnf(s2, plain, spl209_2, inference(sat_conversion,[],[f1718])).
% 1.46/0.59 cnf(s3, plain, spl209_3, inference(sat_conversion,[],[f1723])).
% 1.46/0.59 cnf(s10, plain, ~spl209_10, inference(sat_conversion,[],[f1764])).
% 1.46/0.59 cnf(s11, plain, ~spl209_2 | ~spl209_3 | spl209_10, inference(sat_conversion,[],[f1765])).
% 1.46/0.59 cnf(s12, plain, ~spl209_2, inference(rat,[],[s11,s10,s3])).
% 1.46/0.59 cnf(s13, plain, $false, inference(rat,[],[s2,s12])).
% 1.46/0.59 thf(f1766,plain,(
% 1.46/0.59 $false),
% 1.46/0.59 inference(avatar_sat_refutation,[],[s13])).
% 1.46/0.59 % SZS output end Proof for theBenchmark
% 1.46/0.59 % (817477)------------------------------
% 1.46/0.59 % (817477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.59 % (817477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.59 % (817477)CaDiCaL version: 2.1.3
% 1.46/0.59 % (817477)Termination reason: Refutation
% 1.46/0.59 % (817477)Time elapsed: 0.056 s
% 1.46/0.59 % (817477)Peak memory usage: 14 MB
% 1.46/0.59 % (817477)Instructions burned: 114 (million)
% 1.46/0.59 % (817406)Success in time 0.312 s
% 1.46/0.59 % Vampire exiting
%------------------------------------------------------------------------------