%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV472^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:38:42 AM UTC 2026
% Result : Theorem 0.96s 0.41s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV472^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n007.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 15:47:41 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running higher-order theorem proving
% 0.10/0.22 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
% 0.20/0.35 % (3535895)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.35 % (3535900)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=849627399:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.35 % (3535901)lrs+10_16_si=on:nwc=1.5:random_seed=1923120033:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.35 % (3535902)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=113632124:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.35 % (3535902)Instruction limit reached!
% 0.20/0.35 % (3535902)------------------------------
% 0.20/0.35 % (3535902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3535902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3535902)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3535902)Termination reason: Instruction limit
% 0.20/0.35 % (3535902)Termination phase: Saturation
% 0.20/0.35 % (3535902)Time elapsed: 0.003 s
% 0.20/0.35 % (3535902)Peak memory usage: 12 MB
% 0.20/0.35 % (3535903)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=2257289000: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)
% 0.20/0.35 % (3535902)Instructions burned: 4 (million)
% 0.20/0.35 % (3535901)Instruction limit reached!
% 0.20/0.35 % (3535901)------------------------------
% 0.20/0.35 % (3535901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3535901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3535901)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3535901)Termination reason: Instruction limit
% 0.20/0.35 % (3535901)Termination phase: Saturation
% 0.20/0.35 % (3535901)Time elapsed: 0.011 s
% 0.20/0.35 % (3535901)Peak memory usage: 12 MB
% 0.20/0.35 % (3535901)Instructions burned: 18 (million)
% 0.20/0.35 % (3535904)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2361682639:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.35 % (3535900)Instruction limit reached!
% 0.20/0.35 % (3535900)------------------------------
% 0.20/0.35 % (3535900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3535900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3535900)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3535900)Termination reason: Instruction limit
% 0.20/0.35 % (3535900)Termination phase: Saturation
% 0.20/0.35 % (3535900)Time elapsed: 0.022 s
% 0.20/0.35 % (3535900)Peak memory usage: 13 MB
% 0.20/0.35 % (3535900)Instructions burned: 91 (million)
% 0.20/0.35 % (3535906)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.35 % (3535906)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
% 0.20/0.35 % (3535905)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1773139225:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.35 % (3535906)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=1998195808:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.35 % (3535911)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2619835289:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.35 % (3535911)Instruction limit reached!
% 0.20/0.35 % (3535911)------------------------------
% 0.20/0.35 % (3535911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3535911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3535911)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3535911)Termination reason: Instruction limit
% 0.20/0.35 % (3535911)Termination phase: Saturation
% 0.20/0.35 % (3535911)Time elapsed: 0.003 s
% 0.20/0.35 % (3535911)Peak memory usage: 12 MB
% 0.20/0.35 % (3535911)Instructions burned: 2 (million)
% 0.20/0.35 % (3535914)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.96/0.38 % (3535912)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3213639420:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.96/0.38 % (3535914)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3693254339:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.96/0.38 % (3535912)Instruction limit reached!
% 0.96/0.38 % (3535912)------------------------------
% 0.96/0.38 % (3535912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.38 % (3535912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.38 % (3535912)CaDiCaL version: 2.1.3
% 0.96/0.38 % (3535912)Termination reason: Instruction limit
% 0.96/0.38 % (3535912)Termination phase: Saturation
% 0.96/0.38 % (3535912)Time elapsed: 0.004 s
% 0.96/0.38 % (3535912)Peak memory usage: 12 MB
% 0.96/0.38 % (3535912)Instructions burned: 5 (million)
% 0.96/0.38 % (3535904)Instruction limit reached!
% 0.96/0.38 % (3535904)------------------------------
% 0.96/0.38 % (3535904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.38 % (3535904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.38 % (3535904)CaDiCaL version: 2.1.3
% 0.96/0.38 % (3535904)Termination reason: Instruction limit
% 0.96/0.38 % (3535904)Termination phase: Saturation
% 0.96/0.38 % (3535904)Time elapsed: 0.022 s
% 0.96/0.38 % (3535904)Peak memory usage: 12 MB
% 0.96/0.38 % (3535904)Instructions burned: 24 (million)
% 0.96/0.38 % (3535914)Instruction limit reached!
% 0.96/0.38 % (3535914)------------------------------
% 0.96/0.38 % (3535914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.38 % (3535914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.38 % (3535914)CaDiCaL version: 2.1.3
% 0.96/0.38 % (3535914)Termination reason: Instruction limit
% 0.96/0.38 % (3535914)Termination phase: Saturation
% 0.96/0.38 % (3535914)Time elapsed: 0.005 s
% 0.96/0.38 % (3535914)Peak memory usage: 12 MB
% 0.96/0.38 % (3535914)Instructions burned: 8 (million)
% 0.96/0.38 % (3535922)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=748674641:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.96/0.38 % (3535918)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3185033083:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.96/0.38 % (3535921)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
% 0.96/0.38 % (3535921)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.96/0.38 % (3535921)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2395224755:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.96/0.38 % (3535923)lrs+10_1_si=on:cs=on:random_seed=1704321369:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.96/0.38 % (3535918)Instruction limit reached!
% 0.96/0.38 % (3535918)------------------------------
% 0.96/0.38 % (3535918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.38 % (3535918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.38 % (3535918)CaDiCaL version: 2.1.3
% 0.96/0.38 % (3535918)Termination reason: Instruction limit
% 0.96/0.38 % (3535918)Termination phase: Saturation
% 0.96/0.38 % (3535918)Time elapsed: 0.008 s
% 0.96/0.38 % (3535918)Peak memory usage: 12 MB
% 0.96/0.38 % (3535918)Instructions burned: 12 (million)
% 0.96/0.38 % (3535923)Instruction limit reached!
% 0.96/0.38 % (3535923)------------------------------
% 0.96/0.38 % (3535923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.38 % (3535923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.38 % (3535923)CaDiCaL version: 2.1.3
% 0.96/0.38 % (3535923)Termination reason: Instruction limit
% 0.96/0.38 % (3535923)Termination phase: Saturation
% 0.96/0.38 % (3535923)Time elapsed: 0.006 s
% 0.96/0.38 % (3535923)Peak memory usage: 12 MB
% 0.96/0.38 % (3535923)Instructions burned: 9 (million)
% 0.96/0.38 % (3535922)Instruction limit reached!
% 0.96/0.40 % (3535922)------------------------------
% 0.96/0.40 % (3535922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (3535922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (3535922)CaDiCaL version: 2.1.3
% 0.96/0.40 % (3535922)Termination reason: Instruction limit
% 0.96/0.40 % (3535922)Termination phase: Saturation
% 0.96/0.40 % (3535922)Time elapsed: 0.021 s
% 0.96/0.40 % (3535922)Peak memory usage: 12 MB
% 0.96/0.40 % (3535922)Instructions burned: 91 (million)
% 0.96/0.40 % (3535905)Instruction limit reached!
% 0.96/0.40 % (3535905)------------------------------
% 0.96/0.40 % (3535905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (3535905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (3535905)CaDiCaL version: 2.1.3
% 0.96/0.40 % (3535905)Termination reason: Instruction limit
% 0.96/0.40 % (3535905)Termination phase: Saturation
% 0.96/0.40 % (3535905)Time elapsed: 0.049 s
% 0.96/0.40 % (3535905)Peak memory usage: 13 MB
% 0.96/0.40 % (3535905)Instructions burned: 77 (million)
% 0.96/0.40 % (3535921)Instruction limit reached!
% 0.96/0.41 % (3535921)------------------------------
% 0.96/0.41 % (3535921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535921)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535921)Termination reason: Instruction limit
% 0.96/0.41 % (3535921)Termination phase: Saturation
% 0.96/0.41 % (3535921)Time elapsed: 0.016 s
% 0.96/0.41 % (3535921)Peak memory usage: 12 MB
% 0.96/0.41 % (3535921)Instructions burned: 28 (million)
% 0.96/0.41 % (3535928)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.96/0.41 % (3535928)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=3848714676:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.96/0.41 % (3535930)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2115161591:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.96/0.41 % (3535930)Refutation not found, incomplete strategy
% 0.96/0.41 % (3535930)------------------------------
% 0.96/0.41 % (3535930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535930)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535930)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.41 % (3535930)Time elapsed: 0.001 s
% 0.96/0.41 % (3535930)Peak memory usage: 12 MB
% 0.96/0.41 % (3535930)Instructions burned: 2 (million)
% 0.96/0.41 % (3535930)------------------------------
% 0.96/0.41 % (3535930)------------------------------
% 0.96/0.41 % (3535929)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4145806705:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.96/0.41 % (3535928)Instruction limit reached!
% 0.96/0.41 % (3535928)------------------------------
% 0.96/0.41 % (3535928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535928)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535928)Termination reason: Instruction limit
% 0.96/0.41 % (3535928)Termination phase: Saturation
% 0.96/0.41 % (3535928)Time elapsed: 0.003 s
% 0.96/0.41 % (3535928)Peak memory usage: 12 MB
% 0.96/0.41 % (3535928)Instructions burned: 2 (million)
% 0.96/0.41 % (3535931)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=850693488:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.96/0.41 % (3535931)Refutation not found, incomplete strategy
% 0.96/0.41 % (3535931)------------------------------
% 0.96/0.41 % (3535931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535931)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535931)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.41 % (3535931)Time elapsed: 0.002 s
% 0.96/0.41 % (3535931)Peak memory usage: 12 MB
% 0.96/0.41 % (3535931)Instructions burned: 2 (million)
% 0.96/0.41 % (3535931)------------------------------
% 0.96/0.41 % (3535931)------------------------------
% 0.96/0.41 % (3535937)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3344236576:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.41 % (3535937)Instruction limit reached!
% 0.96/0.41 % (3535937)------------------------------
% 0.96/0.41 % (3535937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535937)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535937)Termination reason: Instruction limit
% 0.96/0.41 % (3535937)Termination phase: Saturation
% 0.96/0.41 % (3535937)Time elapsed: 0.005 s
% 0.96/0.41 % (3535937)Peak memory usage: 12 MB
% 0.96/0.41 % (3535937)Instructions burned: 17 (million)
% 0.96/0.41 % (3535932)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3217346213:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.41 % (3535906)Instruction limit reached!
% 0.96/0.41 % (3535906)------------------------------
% 0.96/0.41 % (3535906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535906)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535906)Termination reason: Instruction limit
% 0.96/0.41 % (3535906)Termination phase: Saturation
% 0.96/0.41 % (3535906)Time elapsed: 0.082 s
% 0.96/0.41 % (3535906)Peak memory usage: 13 MB
% 0.96/0.41 % (3535906)Instructions burned: 157 (million)
% 0.96/0.41 % (3535941)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=202384791:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.96/0.41 % (3535940)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1721082216: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)
% 0.96/0.41 % (3535940)Instruction limit reached!
% 0.96/0.41 % (3535940)------------------------------
% 0.96/0.41 % (3535940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535940)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535940)Termination reason: Instruction limit
% 0.96/0.41 % (3535940)Termination phase: Saturation
% 0.96/0.41 % (3535940)Time elapsed: 0.002 s
% 0.96/0.41 % (3535940)Peak memory usage: 12 MB
% 0.96/0.41 % (3535940)Instructions burned: 2 (million)
% 0.96/0.41 % (3535932)Instruction limit reached!
% 0.96/0.41 % (3535932)------------------------------
% 0.96/0.41 % (3535932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535932)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535932)Termination reason: Instruction limit
% 0.96/0.41 % (3535932)Termination phase: Saturation
% 0.96/0.41 % (3535932)Time elapsed: 0.014 s
% 0.96/0.41 % (3535932)Peak memory usage: 12 MB
% 0.96/0.41 % (3535932)Instructions burned: 14 (million)
% 0.96/0.41 % (3535941)Instruction limit reached!
% 0.96/0.41 % (3535941)------------------------------
% 0.96/0.41 % (3535941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535941)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535941)Termination reason: Instruction limit
% 0.96/0.41 % (3535941)Termination phase: Saturation
% 0.96/0.41 % (3535941)Time elapsed: 0.008 s
% 0.96/0.41 % (3535941)Peak memory usage: 12 MB
% 0.96/0.41 % (3535941)Instructions burned: 27 (million)
% 0.96/0.41 % (3535936)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=235260914:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.96/0.41 % (3535929)Instruction limit reached!
% 0.96/0.41 % (3535929)------------------------------
% 0.96/0.41 % (3535929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535929)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535929)Termination reason: Instruction limit
% 0.96/0.41 % (3535929)Termination phase: Saturation
% 0.96/0.41 % (3535929)Time elapsed: 0.038 s
% 0.96/0.41 % (3535929)Peak memory usage: 12 MB
% 0.96/0.41 % (3535929)Instructions burned: 38 (million)
% 0.96/0.41 % (3535943)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=634598443:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.96/0.41 % (3535948)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.96/0.41 % (3535948)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=4257794480:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.96/0.41 % (3535946)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4057474176:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.96/0.41 % (3535948)Instruction limit reached!
% 0.96/0.41 % (3535948)------------------------------
% 0.96/0.41 % (3535948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535948)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535948)Termination reason: Instruction limit
% 0.96/0.41 % (3535948)Termination phase: Saturation
% 0.96/0.41 % (3535948)Time elapsed: 0.004 s
% 0.96/0.41 % (3535948)Peak memory usage: 12 MB
% 0.96/0.41 % (3535948)Instructions burned: 11 (million)
% 0.96/0.41 % (3535947)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
% 0.96/0.41 % (3535947)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.96/0.41 % (3535947)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=3466352236:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.41 % (3535943)Instruction limit reached!
% 0.96/0.41 % (3535943)------------------------------
% 0.96/0.41 % (3535943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535943)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535943)Termination reason: Instruction limit
% 0.96/0.41 % (3535943)Termination phase: Saturation
% 0.96/0.41 % (3535943)Time elapsed: 0.013 s
% 0.96/0.41 % (3535943)Peak memory usage: 11 MB
% 0.96/0.41 % (3535943)Instructions burned: 24 (million)
% 0.96/0.41 % (3535950)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=3754889654:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.96/0.41 % (3535954)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2808507997:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.96/0.41 % (3535950) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3535895-3535950"...
% 0.96/0.41 % (3535954)Instruction limit reached!
% 0.96/0.41 % (3535954)------------------------------
% 0.96/0.41 % (3535954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535954)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535954)Termination reason: Instruction limit
% 0.96/0.41 % (3535954)Termination phase: Saturation
% 0.96/0.41 % (3535954)Time elapsed: 0.003 s
% 0.96/0.41 % (3535954)Peak memory usage: 12 MB
% 0.96/0.41 % (3535954)Instructions burned: 9 (million)
% 0.96/0.41 % (3535947)Instruction limit reached!
% 0.96/0.41 % (3535947)------------------------------
% 0.96/0.41 % (3535947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535947)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535947)Termination reason: Instruction limit
% 0.96/0.41 % (3535947)Termination phase: Saturation
% 0.96/0.41 % (3535947)Time elapsed: 0.009 s
% 0.96/0.41 % (3535947)Peak memory usage: 12 MB
% 0.96/0.41 % (3535947)Instructions burned: 14 (million)
% 0.96/0.41 % (3535950)...printing done.
% 0.96/0.41 % (3535950)Refutation found. Thanks to Tanya!
% 0.96/0.41 % SZS status Theorem for theBenchmark
% 0.96/0.41 % SZS output start Proof for theBenchmark
% 0.96/0.41 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.96/0.41 thf(type_def_6, type, sK0: $tType).
% 0.96/0.41 thf(func_def_0, type, 'const/trivia/I': !>[X0: $tType]:((X0 > X0))).
% 0.96/0.41 thf(func_def_1, type, 'const/sets/SUBSET': !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 0.96/0.41 thf(func_def_2, type, 'const/sets/SETSPEC': !>[X0: $tType]:((X0 > $o > X0 > $o))).
% 0.96/0.41 thf(func_def_3, type, 'const/sets/IN': !>[X0: $tType]:((X0 > (X0 > $o) > $o))).
% 0.96/0.41 thf(func_def_4, type, 'const/sets/GSPEC': !>[X0: $tType]:(((X0 > $o) > X0 > $o))).
% 0.96/0.41 thf(func_def_5, type, 'const/sets/FINITE': !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.96/0.41 thf(func_def_7, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.96/0.41 thf(func_def_8, type, vIMP: ($o > $o > $o)).
% 0.96/0.41 thf(func_def_9, type, vAND: ($o > $o > $o)).
% 0.96/0.41 thf(func_def_10, type, db1: !>[X0: $tType]:(X0)).
% 0.96/0.41 thf(func_def_11, type, db0: !>[X0: $tType]:(X0)).
% 0.96/0.41 thf(func_def_12, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.96/0.41 thf(func_def_15, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.96/0.41 thf(func_def_16, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.96/0.41 thf(func_def_17, type, db3: !>[X0: $tType]:(X0)).
% 0.96/0.41 thf(func_def_18, type, db2: !>[X0: $tType]:(X0)).
% 0.96/0.41 thf(func_def_19, type, sK1: (sK0 > $o)).
% 0.96/0.41 thf(func_def_20, type, sK2: (sK0 > $o)).
% 0.96/0.41 thf(f2,axiom,(
% 0.96/0.41 ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : ((('const/sets/FINITE' @ X0 @ X2) & ('const/sets/SUBSET' @ X0 @ X1 @ X2)) => ('const/sets/FINITE' @ X0 @ X1))),
% 0.96/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/FINITE_SUBSET_')).
% 0.96/0.41 thf(f3,axiom,(
% 0.96/0.41 ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X3 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X3 @ (X2 @ X4) & ('const/sets/IN' @ X0 @ X4 @ X1) @ X4)))) @ X1)),
% 0.96/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/SUBSET_RESTRICT_')).
% 0.96/0.41 thf(f4,conjecture,(
% 0.96/0.41 ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (('const/sets/FINITE' @ X0 @ X1) => ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X3 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X3 @ (X2 @ X4) & ('const/sets/IN' @ X0 @ X4 @ X1) @ X4))))))),
% 0.96/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/FINITE_RESTRICT_')).
% 0.96/0.41 thf(f5,negated_conjecture,(
% 0.96/0.41 ~ ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (('const/sets/FINITE' @ X0 @ X1) => ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X3 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X3 @ (X2 @ X4) & ('const/sets/IN' @ X0 @ X4 @ X1) @ X4))))))),
% 0.96/0.41 inference(negated_conjecture,[status(cth)],[f4])).
% 0.96/0.41 thf(f6,plain,(
% 0.96/0.41 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : ((('const/sets/FINITE' @ X0 @ X1) & ('const/sets/SUBSET' @ X0 @ X2 @ X1)) => ('const/sets/FINITE' @ X0 @ X2))),
% 0.96/0.41 inference(rectify,[],[f2])).
% 0.96/0.41 thf(f7,plain,(
% 0.96/0.41 ( ! [X0 : $tType] : (($true = ((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ((('const/sets/SUBSET' @ X0 @ Y0 @ Y1) & ('const/sets/FINITE' @ X0 @ Y1)) => ('const/sets/FINITE' @ X0 @ Y0))))))))) )),
% 0.96/0.41 inference(fool_elimination,[],[f6])).
% 0.96/0.41 thf(f9,plain,(
% 0.96/0.41 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X3 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X3 @ (X1 @ X4) & ('const/sets/IN' @ X0 @ X4 @ X2) @ X4)))) @ X2)),
% 0.96/0.41 inference(rectify,[],[f3])).
% 0.96/0.41 thf(f10,plain,(
% 0.96/0.41 ( ! [X0 : $tType] : ((((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y2 : X0]: (?? @ X0 @ (^[Y3 : X0]: ('const/sets/SETSPEC' @ X0 @ Y2 @ (('const/sets/IN' @ X0 @ Y3 @ Y0) & (Y1 @ Y3)) @ Y3))))) @ Y0)))))) = $true)) )),
% 0.96/0.41 inference(fool_elimination,[],[f9])).
% 0.96/0.41 thf(f11,plain,(
% 0.96/0.41 ~ ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : (('const/sets/FINITE' @ X0 @ X2) => ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X3 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X3 @ (X1 @ X4) & ('const/sets/IN' @ X0 @ X4 @ X2) @ X4))))))),
% 0.96/0.41 inference(rectify,[],[f5])).
% 0.96/0.41 thf(f12,plain,(
% 0.96/0.41 ~ ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (((('const/sets/FINITE' @ X0 @ X2)) = $true) => ((('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ (('const/sets/IN' @ X0 @ Y1 @ X2) & (X1 @ Y1)) @ Y1))))))) = $true))),
% 0.96/0.41 inference(fool_elimination,[],[f11])).
% 0.96/0.41 thf(f13,plain,(
% 0.96/0.41 ! [X0 : $tType] : ($true = ((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ((('const/sets/SUBSET' @ X0 @ Y0 @ Y1) & ('const/sets/FINITE' @ X0 @ Y1)) => ('const/sets/FINITE' @ X0 @ Y0))))))))),
% 0.96/0.41 inference(closure,[],[f7])).
% 0.96/0.41 thf(f15,plain,(
% 0.96/0.41 ! [X0 : $tType] : (((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y2 : X0]: (?? @ X0 @ (^[Y3 : X0]: ('const/sets/SETSPEC' @ X0 @ Y2 @ (('const/sets/IN' @ X0 @ Y3 @ Y0) & (Y1 @ Y3)) @ Y3))))) @ Y0)))))) = $true)),
% 0.96/0.41 inference(closure,[],[f10])).
% 0.96/0.41 thf(f16,plain,(
% 0.96/0.41 ? [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (((('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ (('const/sets/IN' @ X0 @ Y1 @ X2) & (X1 @ Y1)) @ Y1))))))) != $true) & ((('const/sets/FINITE' @ X0 @ X2)) = $true))),
% 0.96/0.41 inference(ennf_transformation,[],[f12])).
% 0.96/0.41 thf(f17,plain,(
% 0.96/0.41 ? [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : (($true != (('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ (('const/sets/IN' @ X0 @ Y1 @ X1) & (X2 @ Y1)) @ Y1)))))))) & ((('const/sets/FINITE' @ X0 @ X1)) = $true))),
% 0.96/0.41 inference(rectify,[],[f16])).
% 0.96/0.41 thf(f18,plain,(
% 0.96/0.41 ((('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ (('const/sets/IN' @ sK0 @ Y1 @ sK1) & (sK2 @ Y1)) @ Y1))))))) != $true) & ($true = (('const/sets/FINITE' @ sK0 @ sK1)))),
% 0.96/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f17])).
% 0.96/0.41 thf(f19,plain,(
% 0.96/0.41 ($true = (('const/sets/FINITE' @ sK0 @ sK1)))),
% 0.96/0.41 inference(cnf_transformation,[],[f18])).
% 0.96/0.41 thf(f20,plain,(
% 0.96/0.41 ((('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ (('const/sets/IN' @ sK0 @ Y1 @ sK1) & (sK2 @ Y1)) @ Y1))))))) != $true)),
% 0.96/0.41 inference(cnf_transformation,[],[f18])).
% 0.96/0.41 thf(f22,plain,(
% 0.96/0.41 ( ! [X0 : $tType] : (($true = ((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ((('const/sets/SUBSET' @ X0 @ Y0 @ Y1) & ('const/sets/FINITE' @ X0 @ Y1)) => ('const/sets/FINITE' @ X0 @ Y0))))))))) )),
% 0.96/0.41 inference(cnf_transformation,[],[f13])).
% 0.96/0.41 thf(f23,plain,(
% 0.96/0.41 ( ! [X0 : $tType] : ((((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y2 : X0]: (?? @ X0 @ (^[Y3 : X0]: ('const/sets/SETSPEC' @ X0 @ Y2 @ (('const/sets/IN' @ X0 @ Y3 @ Y0) & (Y1 @ Y3)) @ Y3))))) @ Y0)))))) = $true)) )),
% 0.96/0.41 inference(cnf_transformation,[],[f15])).
% 0.96/0.41 thf(f25,plain,(
% 0.96/0.41 ( ! [X0 : $tType,X1 : (X0 > $o)] : (($true = (((^[Y0 : X0 > $o]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ((('const/sets/SUBSET' @ X0 @ Y0 @ Y1) & ('const/sets/FINITE' @ X0 @ Y1)) => ('const/sets/FINITE' @ X0 @ Y0))))) @ X1)))) )),
% 0.96/0.41 inference(pi_proxy_clausification,[],[f22])).
% 0.96/0.41 thf(f26,plain,(
% 0.96/0.41 ( ! [X0 : $tType,X1 : (X0 > $o)] : (($true = ((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: ((('const/sets/SUBSET' @ X0 @ X1 @ Y0) & ('const/sets/FINITE' @ X0 @ Y0)) => ('const/sets/FINITE' @ X0 @ X1))))))) )),
% 0.96/0.41 inference(beta-eta_normalization,[],[f25])).
% 0.96/0.41 thf(f27,plain,(
% 0.96/0.41 ( ! [X0 : $tType,X1 : (X0 > $o)] : (((((^[Y0 : X0 > $o]: (!! @ (X0 > $o) @ (^[Y1 : X0 > $o]: ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y2 : X0]: (?? @ X0 @ (^[Y3 : X0]: ('const/sets/SETSPEC' @ X0 @ Y2 @ (('const/sets/IN' @ X0 @ Y3 @ Y0) & (Y1 @ Y3)) @ Y3))))) @ Y0)))) @ X1)) = $true)) )),
% 0.96/0.41 inference(pi_proxy_clausification,[],[f23])).
% 0.96/0.41 thf(f28,plain,(
% 0.96/0.41 ( ! [X0 : $tType,X1 : (X0 > $o)] : ((((!! @ (X0 > $o) @ (^[Y0 : X0 > $o]: ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y1 : X0]: (?? @ X0 @ (^[Y2 : X0]: ('const/sets/SETSPEC' @ X0 @ Y1 @ (('const/sets/IN' @ X0 @ Y2 @ X1) & (Y0 @ Y2)) @ Y2))))) @ X1)))) = $true)) )),
% 0.96/0.41 inference(beta-eta_normalization,[],[f27])).
% 0.96/0.41 thf(f31,plain,(
% 0.96/0.41 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (($true = (((^[Y0 : X0 > $o]: ((('const/sets/SUBSET' @ X0 @ X1 @ Y0) & ('const/sets/FINITE' @ X0 @ Y0)) => ('const/sets/FINITE' @ X0 @ X1))) @ X2)))) )),
% 0.96/0.41 inference(pi_proxy_clausification,[],[f26])).
% 0.96/0.41 thf(f32,plain,(
% 0.96/0.41 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (($true = (((('const/sets/SUBSET' @ X0 @ X1 @ X2) & ('const/sets/FINITE' @ X0 @ X2)) => ('const/sets/FINITE' @ X0 @ X1))))) )),
% 0.96/0.41 inference(beta-eta_normalization,[],[f31])).
% 0.96/0.41 thf(f33,plain,(
% 0.96/0.41 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (($true = (((^[Y0 : X0 > $o]: ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y1 : X0]: (?? @ X0 @ (^[Y2 : X0]: ('const/sets/SETSPEC' @ X0 @ Y1 @ (('const/sets/IN' @ X0 @ Y2 @ X1) & (Y0 @ Y2)) @ Y2))))) @ X1)) @ X2)))) )),
% 0.96/0.41 inference(pi_proxy_clausification,[],[f28])).
% 0.96/0.41 thf(f34,plain,(
% 0.96/0.41 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (((('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ (('const/sets/IN' @ X0 @ Y1 @ X1) & (X2 @ Y1)) @ Y1))))) @ X1)) = $true)) )),
% 0.96/0.41 inference(beta-eta_normalization,[],[f33])).
% 0.96/0.41 thf(f36,plain,(
% 0.96/0.41 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (((('const/sets/FINITE' @ X0 @ X1)) = $true) | ($false = ((('const/sets/SUBSET' @ X0 @ X1 @ X2) & ('const/sets/FINITE' @ X0 @ X2))))) )),
% 0.96/0.41 inference(imp_proxy_clausification,[],[f32])).
% 0.96/0.41 thf(f37,plain,(
% 0.96/0.41 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (((('const/sets/FINITE' @ X0 @ X2)) = $false) | ((('const/sets/FINITE' @ X0 @ X1)) = $true) | ((('const/sets/SUBSET' @ X0 @ X1 @ X2)) = $false)) )),
% 0.96/0.41 inference(and_proxy_clausification,[],[f36])).
% 0.96/0.41 thf(f40,plain,(
% 0.96/0.41 ( ! [X0 : (sK0 > $o)] : (($true = $false) | ($true = (('const/sets/FINITE' @ sK0 @ X0))) | ($false = (('const/sets/SUBSET' @ sK0 @ X0 @ sK1)))) )),
% 0.96/0.41 inference(constrained_superposition,[],[f37,f19])).
% 0.96/0.41 thf(f44,plain,(
% 0.96/0.41 ( ! [X0 : (sK0 > $o)] : (($false = (('const/sets/SUBSET' @ sK0 @ X0 @ sK1))) | ($true = (('const/sets/FINITE' @ sK0 @ X0)))) )),
% 0.96/0.41 inference(trivial_inequality_removal,[],[f40])).
% 0.96/0.41 thf(f50,plain,(
% 0.96/0.41 ( ! [X0 : (sK0 > $o)] : (($true = (('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ (('const/sets/IN' @ sK0 @ Y1 @ sK1) & (X0 @ Y1)) @ Y1)))))))) | ($true = $false)) )),
% 0.96/0.41 inference(constrained_superposition,[],[f44,f34])).
% 0.96/0.41 thf(f51,plain,(
% 0.96/0.41 ( ! [X0 : (sK0 > $o)] : (($true = (('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ (('const/sets/IN' @ sK0 @ Y1 @ sK1) & (X0 @ Y1)) @ Y1))))))))) )),
% 0.96/0.41 inference(trivial_inequality_removal,[],[f50])).
% 0.96/0.41 thf(f53,plain,(
% 0.96/0.41 ($true != $true)),
% 0.96/0.41 inference(backward_demodulation,[],[f20,f51])).
% 0.96/0.41 thf(f56,plain,(
% 0.96/0.41 $false),
% 0.96/0.41 inference(trivial_inequality_removal,[],[f53])).
% 0.96/0.41 % SZS output end Proof for theBenchmark
% 0.96/0.41 % (3535950)------------------------------
% 0.96/0.41 % (3535950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (3535950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (3535950)CaDiCaL version: 2.1.3
% 0.96/0.41 % (3535950)Termination reason: Refutation
% 0.96/0.41 % (3535950)Time elapsed: 0.008 s
% 0.96/0.41 % (3535950)Peak memory usage: 12 MB
% 0.96/0.41 % (3535950)Instructions burned: 11 (million)
% 0.96/0.41 % (3535895)Success in time 0.18 s
% 0.96/0.41 % Vampire exiting
%------------------------------------------------------------------------------