%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET063^4 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 08:23:13 AM UTC 2026
% Result : Theorem 2.56s 0.66s
% Output : Refutation 2.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET063^4 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n003.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 13:38:13 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 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
% 0.23/0.39 % (2504111)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.39 % (2504117)lrs+10_16_si=on:nwc=1.5:random_seed=1968454964:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.39 % (2504116)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=641055676:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.39 % (2504118)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3155513645:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.39 % (2504122)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.39 % (2504122)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
% 0.23/0.39 % (2504118)Instruction limit reached!
% 0.23/0.39 % (2504118)------------------------------
% 0.23/0.39 % (2504118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.39 % (2504118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.39 % (2504118)CaDiCaL version: 2.1.3
% 0.23/0.39 % (2504118)Termination reason: Instruction limit
% 0.23/0.39 % (2504118)Termination phase: shuffling
% 0.23/0.39 % (2504118)Time elapsed: 0.002 s
% 0.23/0.39 % (2504118)Peak memory usage: 9 MB
% 0.23/0.39 % (2504118)Instructions burned: 5 (million)
% 0.23/0.39 % (2504119)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=3240869665: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)
% 0.23/0.39 % (2504122)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=3265824549:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.39 % (2504117)Instruction limit reached!
% 0.23/0.39 % (2504117)------------------------------
% 0.23/0.39 % (2504117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.39 % (2504117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.39 % (2504117)CaDiCaL version: 2.1.3
% 0.23/0.39 % (2504117)Termination reason: Instruction limit
% 0.23/0.39 % (2504117)Termination phase: Property scanning
% 0.23/0.39 % (2504117)Time elapsed: 0.007 s
% 0.23/0.39 % (2504117)Peak memory usage: 10 MB
% 0.23/0.39 % (2504117)Instructions burned: 20 (million)
% 0.23/0.39 % (2504120)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1466336488:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.39 % (2504121)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2293188283:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.39 % (2504129)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=884011292:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.23/0.39 % (2504129)Instruction limit reached!
% 0.23/0.39 % (2504129)------------------------------
% 0.23/0.39 % (2504129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.39 % (2504129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.39 % (2504129)CaDiCaL version: 2.1.3
% 0.23/0.39 % (2504129)Termination reason: Instruction limit
% 0.23/0.39 % (2504129)Termination phase: Property scanning
% 0.23/0.39 % (2504129)Time elapsed: 0.002 s
% 0.23/0.39 % (2504129)Peak memory usage: 10 MB
% 0.23/0.39 % (2504129)Instructions burned: 9 (million)
% 0.23/0.39 % (2504127)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2304347433:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.39 % (2504127)Instruction limit reached!
% 0.23/0.39 % (2504127)------------------------------
% 0.23/0.39 % (2504127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.39 % (2504127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.39 % (2504127)CaDiCaL version: 2.1.3
% 0.23/0.39 % (2504127)Termination reason: Instruction limit
% 0.23/0.39 % (2504127)Termination phase: shuffling
% 0.23/0.39 % (2504127)Time elapsed: 0.001 s
% 0.23/0.39 % (2504127)Peak memory usage: 9 MB
% 0.23/0.39 % (2504127)Instructions burned: 3 (million)
% 1.09/0.42 % (2504133)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.09/0.42 % (2504133)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1692270208:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.09/0.42 % (2504133)Instruction limit reached!
% 1.09/0.42 % (2504133)------------------------------
% 1.09/0.42 % (2504133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.42 % (2504133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.42 % (2504133)CaDiCaL version: 2.1.3
% 1.09/0.42 % (2504133)Termination reason: Instruction limit
% 1.09/0.42 % (2504133)Termination phase: Property scanning
% 1.09/0.42 % (2504133)Time elapsed: 0.004 s
% 1.09/0.42 % (2504133)Peak memory usage: 10 MB
% 1.09/0.42 % (2504133)Instructions burned: 17 (million)
% 1.09/0.42 % (2504120)Instruction limit reached!
% 1.09/0.42 % (2504120)------------------------------
% 1.09/0.42 % (2504120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.42 % (2504120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.42 % (2504120)CaDiCaL version: 2.1.3
% 1.09/0.42 % (2504120)Termination reason: Instruction limit
% 1.09/0.42 % (2504120)Termination phase: Saturation
% 1.09/0.42 % (2504120)Time elapsed: 0.021 s
% 1.09/0.42 % (2504120)Peak memory usage: 11 MB
% 1.09/0.42 % (2504120)Instructions burned: 24 (million)
% 1.09/0.42 % (2504116)Instruction limit reached!
% 1.09/0.42 % (2504116)------------------------------
% 1.09/0.42 % (2504116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.42 % (2504116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.42 % (2504116)CaDiCaL version: 2.1.3
% 1.09/0.42 % (2504116)Termination reason: Instruction limit
% 1.09/0.42 % (2504116)Termination phase: Saturation
% 1.09/0.42 % (2504116)Time elapsed: 0.046 s
% 1.09/0.42 % (2504116)Peak memory usage: 12 MB
% 1.09/0.42 % (2504116)Instructions burned: 87 (million)
% 1.09/0.42 % (2504135)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1182476968:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.09/0.42 % (2504137)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
% 1.09/0.42 % (2504137)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.09/0.42 % (2504137)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=454862681:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.09/0.42 % (2504135)Instruction limit reached!
% 1.09/0.42 % (2504135)------------------------------
% 1.09/0.42 % (2504135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.42 % (2504135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.42 % (2504135)CaDiCaL version: 2.1.3
% 1.09/0.42 % (2504135)Termination reason: Instruction limit
% 1.09/0.42 % (2504135)Termination phase: Property scanning
% 1.09/0.42 % (2504135)Time elapsed: 0.010 s
% 1.09/0.42 % (2504135)Peak memory usage: 10 MB
% 1.09/0.42 % (2504135)Instructions burned: 12 (million)
% 1.09/0.42 % (2504137)Instruction limit reached!
% 1.09/0.42 % (2504137)------------------------------
% 1.09/0.42 % (2504137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.42 % (2504137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.42 % (2504137)CaDiCaL version: 2.1.3
% 1.09/0.42 % (2504137)Termination reason: Instruction limit
% 1.09/0.42 % (2504137)Termination phase: Saturation
% 1.09/0.42 % (2504137)Time elapsed: 0.012 s
% 1.09/0.42 % (2504137)Peak memory usage: 11 MB
% 1.09/0.42 % (2504137)Instructions burned: 29 (million)
% 1.09/0.42 % (2504138)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=5033241:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.09/0.42 % (2504121)Instruction limit reached!
% 1.09/0.42 % (2504121)------------------------------
% 1.09/0.42 % (2504121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.45 % (2504121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.45 % (2504121)CaDiCaL version: 2.1.3
% 1.09/0.45 % (2504121)Termination reason: Instruction limit
% 1.09/0.45 % (2504121)Termination phase: Saturation
% 1.09/0.45 % (2504121)Time elapsed: 0.052 s
% 1.09/0.45 % (2504121)Peak memory usage: 12 MB
% 1.09/0.45 % (2504121)Instructions burned: 75 (million)
% 1.09/0.45 % (2504140)lrs+10_1_si=on:cs=on:random_seed=705540622:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.09/0.45 % (2504142)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.09/0.45 % (2504140)Instruction limit reached!
% 1.09/0.45 % (2504140)------------------------------
% 1.09/0.45 % (2504140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.45 % (2504140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.45 % (2504140)CaDiCaL version: 2.1.3
% 1.09/0.45 % (2504140)Termination reason: Instruction limit
% 1.09/0.45 % (2504140)Termination phase: Property scanning
% 1.09/0.45 % (2504140)Time elapsed: 0.007 s
% 1.09/0.45 % (2504140)Peak memory usage: 10 MB
% 1.09/0.45 % (2504140)Instructions burned: 8 (million)
% 1.09/0.45 % (2504142)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=1229815519:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.09/0.45 % (2504142)Instruction limit reached!
% 1.09/0.45 % (2504142)------------------------------
% 1.09/0.45 % (2504142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.45 % (2504142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.45 % (2504142)CaDiCaL version: 2.1.3
% 1.09/0.45 % (2504142)Termination reason: Instruction limit
% 1.09/0.45 % (2504142)Termination phase: shuffling
% 1.09/0.45 % (2504142)Time elapsed: 0.004 s
% 1.09/0.45 % (2504142)Peak memory usage: 9 MB
% 1.09/0.45 % (2504142)Instructions burned: 4 (million)
% 1.09/0.45 % (2504143)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1034908189:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.09/0.45 % (2504146)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2122889295:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.09/0.45 % (2504143)Refutation not found, incomplete strategy
% 1.09/0.45 % (2504143)------------------------------
% 1.09/0.45 % (2504143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.45 % (2504143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.45 % (2504122)Instruction limit reached!
% 1.09/0.45 % (2504122)------------------------------
% 1.09/0.45 % (2504122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.45 % (2504122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.45 % (2504143)CaDiCaL version: 2.1.3
% 1.09/0.45 % (2504122)CaDiCaL version: 2.1.3
% 1.09/0.45 % (2504143)Termination reason: Refutation not found, incomplete strategy
% 1.09/0.45 % (2504143)Time elapsed: 0.009 s
% 1.09/0.45 % (2504122)Termination reason: Instruction limit
% 1.09/0.45 % (2504122)Termination phase: Saturation
% 1.09/0.45 % (2504122)Time elapsed: 0.101 s
% 1.09/0.45 % (2504143)Peak memory usage: 12 MB
% 1.09/0.45 % (2504122)Peak memory usage: 13 MB
% 1.09/0.45 % (2504122)Instructions burned: 158 (million)
% 1.09/0.45 % (2504143)Instructions burned: 17 (million)
% 1.09/0.45 % (2504143)------------------------------
% 1.09/0.45 % (2504143)------------------------------
% 1.09/0.45 % (2504146)Refutation not found, incomplete strategy
% 1.09/0.45 % (2504146)------------------------------
% 1.09/0.45 % (2504146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.45 % (2504146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.45 % (2504146)CaDiCaL version: 2.1.3
% 1.09/0.45 % (2504146)Termination reason: Refutation not found, incomplete strategy
% 1.09/0.45 % (2504146)Time elapsed: 0.006 s
% 1.09/0.45 % (2504146)Peak memory usage: 12 MB
% 1.09/0.45 % (2504146)Instructions burned: 13 (million)
% 1.09/0.45 % (2504146)------------------------------
% 1.09/0.45 % (2504146)------------------------------
% 1.09/0.45 % (2504153)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3158751944:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.09/0.49 % (2504148)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1929997436:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.09/0.49 % (2504153)Refutation not found, incomplete strategy
% 1.09/0.49 % (2504153)------------------------------
% 1.09/0.49 % (2504153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.49 % (2504153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.49 % (2504153)CaDiCaL version: 2.1.3
% 1.09/0.49 % (2504153)Termination reason: Refutation not found, incomplete strategy
% 1.09/0.49 % (2504153)Time elapsed: 0.006 s
% 1.09/0.49 % (2504153)Peak memory usage: 12 MB
% 1.09/0.49 % (2504153)Instructions burned: 23 (million)
% 1.09/0.49 % (2504153)------------------------------
% 1.09/0.49 % (2504153)------------------------------
% 1.09/0.49 % (2504154)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1263072149:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.09/0.49 % (2504150)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1985953779:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.09/0.49 % (2504155)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2077688206: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)
% 1.09/0.49 % (2504155)Instruction limit reached!
% 1.09/0.49 % (2504155)------------------------------
% 1.09/0.49 % (2504155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.49 % (2504155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.49 % (2504155)CaDiCaL version: 2.1.3
% 1.09/0.49 % (2504155)Termination reason: Instruction limit
% 1.09/0.49 % (2504155)Termination phase: Property scanning
% 1.09/0.49 % (2504155)Time elapsed: 0.003 s
% 1.09/0.49 % (2504155)Peak memory usage: 10 MB
% 1.09/0.49 % (2504155)Instructions burned: 7 (million)
% 1.09/0.49 % (2504154)Instruction limit reached!
% 1.09/0.49 % (2504154)------------------------------
% 1.09/0.49 % (2504154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.49 % (2504154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.49 % (2504154)CaDiCaL version: 2.1.3
% 1.09/0.49 % (2504154)Termination reason: Instruction limit
% 1.09/0.49 % (2504154)Termination phase: Function definition elimination
% 1.09/0.49 % (2504154)Time elapsed: 0.006 s
% 1.09/0.49 % (2504154)Peak memory usage: 10 MB
% 1.09/0.49 % (2504154)Instructions burned: 14 (million)
% 1.09/0.49 % (2504148)Refutation not found, incomplete strategy
% 1.09/0.49 % (2504148)------------------------------
% 1.09/0.49 % (2504148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.49 % (2504148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.49 % (2504148)CaDiCaL version: 2.1.3
% 1.09/0.49 % (2504148)Termination reason: Refutation not found, incomplete strategy
% 1.09/0.49 % (2504148)Time elapsed: 0.014 s
% 1.09/0.49 % (2504148)Peak memory usage: 12 MB
% 1.09/0.49 % (2504148)Instructions burned: 17 (million)
% 1.09/0.49 % (2504148)------------------------------
% 1.09/0.49 % (2504148)------------------------------
% 1.09/0.49 % (2504160)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3041865053:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.09/0.49 % (2504150)Instruction limit reached!
% 1.09/0.49 % (2504150)------------------------------
% 1.09/0.49 % (2504150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.49 % (2504150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.49 % (2504150)CaDiCaL version: 2.1.3
% 1.09/0.49 % (2504150)Termination reason: Instruction limit
% 1.09/0.49 % (2504150)Termination phase: Property scanning
% 1.09/0.49 % (2504150)Time elapsed: 0.014 s
% 1.09/0.49 % (2504150)Peak memory usage: 10 MB
% 1.09/0.49 % (2504150)Instructions burned: 18 (million)
% 1.09/0.49 % (2504160)Instruction limit reached!
% 1.09/0.49 % (2504160)------------------------------
% 1.09/0.49 % (2504160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.49 % (2504160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.49 % (2504160)CaDiCaL version: 2.1.3
% 1.09/0.52 % (2504160)Termination reason: Instruction limit
% 1.09/0.52 % (2504160)Termination phase: Saturation
% 1.09/0.52 % (2504160)Time elapsed: 0.006 s
% 1.09/0.52 % (2504160)Peak memory usage: 11 MB
% 1.09/0.52 % (2504160)Instructions burned: 29 (million)
% 1.09/0.52 % (2504138)Instruction limit reached!
% 1.09/0.52 % (2504138)------------------------------
% 1.09/0.52 % (2504138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.52 % (2504138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.52 % (2504138)CaDiCaL version: 2.1.3
% 1.09/0.52 % (2504138)Termination reason: Instruction limit
% 1.09/0.52 % (2504138)Termination phase: Saturation
% 1.09/0.52 % (2504138)Time elapsed: 0.078 s
% 1.09/0.52 % (2504138)Peak memory usage: 12 MB
% 1.09/0.52 % (2504138)Instructions burned: 86 (million)
% 1.09/0.52 % (2504162)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2801512005:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.09/0.52 % (2504163)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2787186536:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.09/0.52 % (2504167)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=2598360939:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.09/0.52 % (2504162)Instruction limit reached!
% 1.09/0.52 % (2504162)------------------------------
% 1.09/0.52 % (2504162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.52 % (2504162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.52 % (2504162)CaDiCaL version: 2.1.3
% 1.09/0.52 % (2504162)Termination reason: Instruction limit
% 1.09/0.52 % (2504162)Termination phase: Saturation
% 1.09/0.52 % (2504162)Time elapsed: 0.010 s
% 1.09/0.52 % (2504162)Peak memory usage: 11 MB
% 1.09/0.52 % (2504162)Instructions burned: 25 (million)
% 1.09/0.52 % (2504167)Instruction limit reached!
% 1.09/0.52 % (2504167)------------------------------
% 1.09/0.52 % (2504167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.52 % (2504167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.52 % (2504167)CaDiCaL version: 2.1.3
% 1.09/0.52 % (2504167)Termination reason: Instruction limit
% 1.09/0.52 % (2504167)Termination phase: Saturation
% 1.09/0.52 % (2504167)Time elapsed: 0.009 s
% 1.09/0.52 % (2504167)Peak memory usage: 12 MB
% 1.09/0.52 % (2504167)Instructions burned: 34 (million)
% 1.09/0.52 % (2504165)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
% 1.09/0.52 % (2504165)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.09/0.52 % (2504166)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.09/0.52 % (2504165)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=4084697226:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.09/0.52 % (2504173)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3099233293:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.09/0.52 % (2504166)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=3868222412:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.09/0.52 % (2504172)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1343119266:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.09/0.52 % (2504173)Instruction limit reached!
% 1.09/0.52 % (2504173)------------------------------
% 1.09/0.52 % (2504173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.52 % (2504173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.52 % (2504173)CaDiCaL version: 2.1.3
% 1.09/0.52 % (2504173)Termination reason: Instruction limit
% 1.09/0.52 % (2504173)Termination phase: Saturation
% 1.09/0.52 % (2504173)Time elapsed: 0.005 s
% 1.99/0.58 % (2504173)Peak memory usage: 11 MB
% 1.99/0.58 % (2504173)Instructions burned: 21 (million)
% 1.99/0.58 % (2504168)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1490972462:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.99/0.58 % (2504163)Instruction limit reached!
% 1.99/0.58 % (2504163)------------------------------
% 1.99/0.58 % (2504163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.58 % (2504163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.58 % (2504163)CaDiCaL version: 2.1.3
% 1.99/0.58 % (2504163)Termination reason: Instruction limit
% 1.99/0.58 % (2504163)Termination phase: Saturation
% 1.99/0.58 % (2504163)Time elapsed: 0.031 s
% 1.99/0.58 % (2504163)Peak memory usage: 12 MB
% 1.99/0.58 % (2504163)Instructions burned: 60 (million)
% 1.99/0.58 % (2504165)Instruction limit reached!
% 1.99/0.58 % (2504165)------------------------------
% 1.99/0.58 % (2504165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.58 % (2504165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.58 % (2504165)CaDiCaL version: 2.1.3
% 1.99/0.58 % (2504165)Termination reason: Instruction limit
% 1.99/0.58 % (2504165)Termination phase: Property scanning
% 1.99/0.58 % (2504165)Time elapsed: 0.011 s
% 1.99/0.58 % (2504165)Peak memory usage: 10 MB
% 1.99/0.58 % (2504165)Instructions burned: 15 (million)
% 1.99/0.58 % (2504168)Instruction limit reached!
% 1.99/0.58 % (2504168)------------------------------
% 1.99/0.58 % (2504168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.58 % (2504168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.58 % (2504168)CaDiCaL version: 2.1.3
% 1.99/0.58 % (2504168)Termination reason: Instruction limit
% 1.99/0.58 % (2504168)Termination phase: Property scanning
% 1.99/0.58 % (2504168)Time elapsed: 0.006 s
% 1.99/0.58 % (2504168)Peak memory usage: 10 MB
% 1.99/0.58 % (2504168)Instructions burned: 7 (million)
% 1.99/0.58 % (2504166)Instruction limit reached!
% 1.99/0.58 % (2504166)------------------------------
% 1.99/0.58 % (2504166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.58 % (2504166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.58 % (2504166)CaDiCaL version: 2.1.3
% 1.99/0.58 % (2504166)Termination reason: Instruction limit
% 1.99/0.58 % (2504166)Termination phase: SInE selection
% 1.99/0.58 % (2504166)Time elapsed: 0.009 s
% 1.99/0.58 % (2504166)Peak memory usage: 10 MB
% 1.99/0.58 % (2504166)Instructions burned: 9 (million)
% 1.99/0.58 % (2504172)Instruction limit reached!
% 1.99/0.58 % (2504172)------------------------------
% 1.99/0.58 % (2504172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.58 % (2504172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.58 % (2504172)CaDiCaL version: 2.1.3
% 1.99/0.58 % (2504172)Termination reason: Instruction limit
% 1.99/0.58 % (2504172)Termination phase: Saturation
% 1.99/0.58 % (2504172)Time elapsed: 0.010 s
% 1.99/0.58 % (2504172)Peak memory usage: 11 MB
% 1.99/0.58 % (2504172)Instructions burned: 23 (million)
% 1.99/0.58 % (2504178)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=176885575:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.99/0.58 % (2504185)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=375045706:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.99/0.58 % (2504181)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=847133848:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.99/0.58 % (2504180)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1945921995:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.99/0.58 % (2504181)Refutation not found, incomplete strategy
% 1.99/0.58 % (2504181)------------------------------
% 1.99/0.58 % (2504181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.58 % (2504181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.58 % (2504181)CaDiCaL version: 2.1.3
% 1.99/0.58 % (2504181)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.58 % (2504181)Time elapsed: 0.005 s
% 1.99/0.58 % (2504181)Peak memory usage: 12 MB
% 1.99/0.58 % (2504181)Instructions burned: 18 (million)
% 1.99/0.58 % (2504181)------------------------------
% 1.99/0.58 % (2504181)------------------------------
% 2.56/0.66 % (2504185)Refutation not found, incomplete strategy
% 2.56/0.66 % (2504185)------------------------------
% 2.56/0.66 % (2504185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504185)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504185)Termination reason: Refutation not found, incomplete strategy
% 2.56/0.66 % (2504185)Time elapsed: 0.015 s
% 2.56/0.66 % (2504185)Peak memory usage: 12 MB
% 2.56/0.66 % (2504185)Instructions burned: 32 (million)
% 2.56/0.66 % (2504185)------------------------------
% 2.56/0.66 % (2504185)------------------------------
% 2.56/0.66 % (2504189)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=3577978332: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)
% 2.56/0.66 % (2504183)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.56/0.66 % (2504189)Refutation not found, incomplete strategy
% 2.56/0.66 % (2504189)------------------------------
% 2.56/0.66 % (2504189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504189)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504189)Termination reason: Refutation not found, incomplete strategy
% 2.56/0.66 % (2504189)Time elapsed: 0.004 s
% 2.56/0.66 % (2504189)Peak memory usage: 12 MB
% 2.56/0.66 % (2504189)Instructions burned: 18 (million)
% 2.56/0.66 % (2504189)------------------------------
% 2.56/0.66 % (2504189)------------------------------
% 2.56/0.66 % (2504182)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2940749989:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.56/0.66 % (2504183)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3219029074:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.56/0.66 % (2504190)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.56/0.66 % (2504192)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1842322168:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.56/0.66 % (2504190)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2265415207:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.56/0.66 % (2504183)Instruction limit reached!
% 2.56/0.66 % (2504183)------------------------------
% 2.56/0.66 % (2504183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504183)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504183)Termination reason: Instruction limit
% 2.56/0.66 % (2504183)Termination phase: Property scanning
% 2.56/0.66 % (2504183)Time elapsed: 0.006 s
% 2.56/0.66 % (2504183)Peak memory usage: 9 MB
% 2.56/0.66 % (2504183)Instructions burned: 7 (million)
% 2.56/0.66 % (2504192)Instruction limit reached!
% 2.56/0.66 % (2504192)------------------------------
% 2.56/0.66 % (2504192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504192)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504192)Termination reason: Instruction limit
% 2.56/0.66 % (2504192)Termination phase: Saturation
% 2.56/0.66 % (2504192)Time elapsed: 0.005 s
% 2.56/0.66 % (2504192)Peak memory usage: 11 MB
% 2.56/0.66 % (2504192)Instructions burned: 23 (million)
% 2.56/0.66 % (2504190)Instruction limit reached!
% 2.56/0.66 % (2504190)------------------------------
% 2.56/0.66 % (2504190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504190)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504190)Termination reason: Instruction limit
% 2.56/0.66 % (2504190)Termination phase: SInE selection
% 2.56/0.66 % (2504190)Time elapsed: 0.004 s
% 2.56/0.66 % (2504190)Peak memory usage: 10 MB
% 2.56/0.66 % (2504190)Instructions burned: 8 (million)
% 2.56/0.66 % (2504197)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3849762981:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.56/0.66 % (2504197)Instruction limit reached!
% 2.56/0.66 % (2504197)------------------------------
% 2.56/0.66 % (2504197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504197)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504197)Termination reason: Instruction limit
% 2.56/0.66 % (2504197)Termination phase: Saturation
% 2.56/0.66 % (2504197)Time elapsed: 0.005 s
% 2.56/0.66 % (2504197)Peak memory usage: 11 MB
% 2.56/0.66 % (2504197)Instructions burned: 22 (million)
% 2.56/0.66 % (2504201)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=2077677655:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.56/0.66 % (2504180)Instruction limit reached!
% 2.56/0.66 % (2504180)------------------------------
% 2.56/0.66 % (2504180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504180)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504180)Termination reason: Instruction limit
% 2.56/0.66 % (2504180)Termination phase: Saturation
% 2.56/0.66 % (2504180)Time elapsed: 0.066 s
% 2.56/0.66 % (2504180)Peak memory usage: 13 MB
% 2.56/0.66 % (2504180)Instructions burned: 143 (million)
% 2.56/0.66 % (2504182)Instruction limit reached!
% 2.56/0.66 % (2504182)------------------------------
% 2.56/0.66 % (2504182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504182)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504182)Termination reason: Instruction limit
% 2.56/0.66 % (2504182)Termination phase: Saturation
% 2.56/0.66 % (2504182)Time elapsed: 0.043 s
% 2.56/0.66 % (2504182)Peak memory usage: 12 MB
% 2.56/0.66 % (2504182)Instructions burned: 42 (million)
% 2.56/0.66 % (2504198)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2943648669:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.56/0.66 % (2504199)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=3785557911:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.56/0.66 % (2504201)Instruction limit reached!
% 2.56/0.66 % (2504201)------------------------------
% 2.56/0.66 % (2504201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504201)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504201)Termination reason: Instruction limit
% 2.56/0.66 % (2504201)Termination phase: Saturation
% 2.56/0.66 % (2504201)Time elapsed: 0.011 s
% 2.56/0.66 % (2504201)Peak memory usage: 12 MB
% 2.56/0.66 % (2504201)Instructions burned: 48 (million)
% 2.56/0.66 % (2504207)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.56/0.66 % (2504207)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3898154268:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.56/0.66 % (2504203)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2412229212:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.56/0.66 % (2504204)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3356970707:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.56/0.66 % (2504203)Refutation not found, incomplete strategy
% 2.56/0.66 % (2504203)------------------------------
% 2.56/0.66 % (2504203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504203)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504203)Termination reason: Refutation not found, incomplete strategy
% 2.56/0.66 % (2504203)Time elapsed: 0.010 s
% 2.56/0.66 % (2504203)Peak memory usage: 12 MB
% 2.56/0.66 % (2504203)Instructions burned: 21 (million)
% 2.56/0.66 % (2504203)------------------------------
% 2.56/0.66 % (2504203)------------------------------
% 2.56/0.66 % (2504204)Instruction limit reached!
% 2.56/0.66 % (2504204)------------------------------
% 2.56/0.66 % (2504204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504204)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504204)Termination reason: Instruction limit
% 2.56/0.66 % (2504204)Termination phase: Saturation
% 2.56/0.66 % (2504204)Time elapsed: 0.015 s
% 2.56/0.66 % (2504204)Peak memory usage: 11 MB
% 2.56/0.66 % (2504204)Instructions burned: 22 (million)
% 2.56/0.66 % (2504211)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=813451770:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.56/0.66 % (2504119)Instruction limit reached!
% 2.56/0.66 % (2504119)------------------------------
% 2.56/0.66 % (2504119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504119)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504119)Termination reason: Instruction limit
% 2.56/0.66 % (2504119)Termination phase: Saturation
% 2.56/0.66 % (2504119)Time elapsed: 0.341 s
% 2.56/0.66 % (2504119)Peak memory usage: 14 MB
% 2.56/0.66 % (2504119)Instructions burned: 634 (million)
% 2.56/0.66 % (2504207)Instruction limit reached!
% 2.56/0.66 % (2504207)------------------------------
% 2.56/0.66 % (2504207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504207)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504207)Termination reason: Instruction limit
% 2.56/0.66 % (2504207)Termination phase: Saturation
% 2.56/0.66 % (2504207)Time elapsed: 0.051 s
% 2.56/0.66 % (2504207)Peak memory usage: 12 MB
% 2.56/0.66 % (2504207)Instructions burned: 204 (million)
% 2.56/0.66 % (2504212)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2214848689:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.56/0.66 % (2504211)Instruction limit reached!
% 2.56/0.66 % (2504211)------------------------------
% 2.56/0.66 % (2504211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504211)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504211)Termination reason: Instruction limit
% 2.56/0.66 % (2504211)Termination phase: Saturation
% 2.56/0.66 % (2504211)Time elapsed: 0.012 s
% 2.56/0.66 % (2504211)Peak memory usage: 10 MB
% 2.56/0.66 % (2504211)Instructions burned: 14 (million)
% 2.56/0.66 % (2504217)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=4057273829:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.56/0.66 % (2504215)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2218544734:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.56/0.66 % (2504216)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4078283587:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.56/0.66 % (2504178) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2504111-2504178"...
% 2.56/0.66 % (2504178)...printing done.
% 2.56/0.66 % (2504212)Instruction limit reached!
% 2.56/0.66 % (2504212)------------------------------
% 2.56/0.66 % (2504212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504212)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504212)Termination reason: Instruction limit
% 2.56/0.66 % (2504212)Termination phase: Saturation
% 2.56/0.66 % (2504212)Time elapsed: 0.031 s
% 2.56/0.66 % (2504212)Peak memory usage: 13 MB
% 2.56/0.66 % (2504212)Instructions burned: 67 (million)
% 2.56/0.66 % (2504178)Refutation found. Thanks to Tanya!
% 2.56/0.66 % SZS status Theorem for theBenchmark
% 2.56/0.66 % SZS output start Proof for theBenchmark
% 2.56/0.66 thf(type_def_5, type, mworld: $tType).
% 2.56/0.66 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 2.56/0.66 thf(func_def_0, type, mrel: (mworld > mworld > $o)).
% 2.56/0.66 thf(func_def_1, type, mactual: mworld).
% 2.56/0.66 thf(func_def_2, type, mlocal: ((mworld > $o) > $o)).
% 2.56/0.66 thf(func_def_4, type, mnot: ((mworld > $o) > mworld > $o)).
% 2.56/0.66 thf(func_def_5, type, mand: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 2.56/0.66 thf(func_def_6, type, mor: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 2.56/0.66 thf(func_def_7, type, mimplies: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 2.56/0.66 thf(func_def_8, type, mequiv: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 2.56/0.66 thf(func_def_9, type, mbox: ((mworld > $o) > mworld > $o)).
% 2.56/0.66 thf(func_def_10, type, mdia: ((mworld > $o) > mworld > $o)).
% 2.56/0.66 thf(func_def_11, type, mforall_di: (($i > mworld > $o) > mworld > $o)).
% 2.56/0.66 thf(func_def_12, type, mexists_di: (($i > mworld > $o) > mworld > $o)).
% 2.56/0.66 thf(func_def_14, type, qmltpeq: ($i > $i > mworld > $o)).
% 2.56/0.66 thf(func_def_15, type, equal_set: ($i > $i > mworld > $o)).
% 2.56/0.66 thf(func_def_16, type, member: ($i > $i > mworld > $o)).
% 2.56/0.66 thf(func_def_17, type, subset: ($i > $i > mworld > $o)).
% 2.56/0.66 thf(func_def_18, type, singleton: ($i > $i)).
% 2.56/0.66 thf(func_def_19, type, product: ($i > $i)).
% 2.56/0.66 thf(func_def_20, type, unordered_pair: ($i > $i > $i)).
% 2.56/0.66 thf(func_def_21, type, intersection: ($i > $i > $i)).
% 2.56/0.66 thf(func_def_22, type, difference: ($i > $i > $i)).
% 2.56/0.66 thf(func_def_23, type, sum: ($i > $i)).
% 2.56/0.66 thf(func_def_24, type, union: ($i > $i > $i)).
% 2.56/0.66 thf(func_def_25, type, power_set: ($i > $i)).
% 2.56/0.66 thf(func_def_26, type, db2: !>[X0: $tType]:(X0)).
% 2.56/0.66 thf(func_def_27, type, db1: !>[X0: $tType]:(X0)).
% 2.56/0.66 thf(func_def_28, type, db0: !>[X0: $tType]:(X0)).
% 2.56/0.66 thf(func_def_29, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.56/0.66 thf(func_def_32, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.56/0.66 thf(func_def_33, type, vNOT: ($o > $o)).
% 2.56/0.66 thf(func_def_34, type, vIFF: ($o > $o > $o)).
% 2.56/0.66 thf(func_def_35, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.56/0.66 thf(func_def_36, type, vAND: ($o > $o > $o)).
% 2.56/0.66 thf(func_def_37, type, vOR: ($o > $o > $o)).
% 2.56/0.66 thf(func_def_38, type, vIMP: ($o > $o > $o)).
% 2.56/0.66 thf(func_def_39, type, db3: !>[X0: $tType]:(X0)).
% 2.56/0.66 thf(func_def_40, type, db4: !>[X0: $tType]:(X0)).
% 2.56/0.66 thf(f1,axiom,(
% 2.56/0.66 (mlocal = (^[X0 : (mworld > $o)] : ((X0 @ mactual))))),
% 2.56/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def)).
% 2.56/0.66 thf(f2,axiom,(
% 2.56/0.66 (mnot = (^[X0 : (mworld > $o), X1 : mworld] : (~(X0 @ X1))))),
% 2.56/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_def)).
% 2.56/0.66 thf(f3,axiom,(
% 2.56/0.66 ((^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) & (X1 @ X2))) = mand)),
% 2.56/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def)).
% 2.56/0.66 thf(f5,axiom,(
% 2.56/0.66 (mimplies = (^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 2.56/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def)).
% 2.56/0.66 thf(f6,axiom,(
% 2.56/0.66 (mequiv = (^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X1 @ X2) <=> (X0 @ X2))))),
% 2.56/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv_def)).
% 2.56/0.66 thf(f11,axiom,(
% 2.56/0.66 (mforall_di = (^[X0 : ($i > mworld > $o), X1 : mworld] : (! [X2 : $i] : (X0 @ X2 @ X1))))),
% 2.56/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def)).
% 2.56/0.66 thf(f34,axiom,(
% 2.56/0.66 (mlocal @ (mforall_di @ (^[X0 : $i] : ((mforall_di @ (^[X1 : $i] : ((mequiv @ (subset @ X0 @ X1) @ (mforall_di @ (^[X2 : $i] : ((mimplies @ (member @ X2 @ X0) @ (member @ X2 @ X1)))))))))))))),
% 2.56/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_0)).
% 2.56/0.66 thf(f35,axiom,(
% 2.56/0.66 (mlocal @ (mforall_di @ (^[X0 : $i] : ((mforall_di @ (^[X1 : $i] : ((mequiv @ (equal_set @ X0 @ X1) @ (mand @ (subset @ X0 @ X1) @ (subset @ X1 @ X0))))))))))),
% 2.56/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set_0)).
% 2.56/0.66 thf(f37,axiom,(
% 2.56/0.66 (mlocal @ (mforall_di @ (^[X0 : $i] : ((mforall_di @ (^[X1 : $i] : ((mforall_di @ (^[X2 : $i] : ((mequiv @ (member @ X0 @ (intersection @ X1 @ X2)) @ (mand @ (member @ X0 @ X1) @ (member @ X0 @ X2)))))))))))))),
% 2.56/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_0)).
% 2.56/0.66 thf(f39,axiom,(
% 2.56/0.66 (mlocal @ (mforall_di @ (^[X0 : $i] : ((mnot @ (member @ X0 @ empty_set))))))),
% 2.56/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_0)).
% 2.56/0.66 thf(f45,conjecture,(
% 2.56/0.66 (mlocal @ (mforall_di @ (^[X0 : $i] : ((equal_set @ (intersection @ X0 @ empty_set) @ empty_set)))))),
% 2.56/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI17)).
% 2.56/0.66 thf(f46,negated_conjecture,(
% 2.56/0.66 ~(mlocal @ (mforall_di @ (^[X0 : $i] : ((equal_set @ (intersection @ X0 @ empty_set) @ empty_set)))))),
% 2.56/0.66 inference(negated_conjecture,[status(cth)],[f45])).
% 2.56/0.66 thf(f51,plain,(
% 2.56/0.66 (mlocal @ (mforall_di @ (^[X0 : $i] : ((mnot @ (member @ X0 @ empty_set))))))),
% 2.56/0.66 inference(rectify,[],[f39])).
% 2.56/0.66 thf(f52,plain,(
% 2.56/0.66 ($true = ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mnot @ (member @ Y0 @ empty_set)))))))),
% 2.56/0.66 inference(fool_elimination,[],[f51])).
% 2.56/0.66 thf(f55,plain,(
% 2.56/0.66 (mlocal @ (mforall_di @ (^[X0 : $i] : ((mforall_di @ (^[X1 : $i] : ((mforall_di @ (^[X2 : $i] : ((mequiv @ (member @ X0 @ (intersection @ X1 @ X2)) @ (mand @ (member @ X0 @ X1) @ (member @ X0 @ X2)))))))))))))),
% 2.56/0.66 inference(rectify,[],[f37])).
% 2.56/0.66 thf(f56,plain,(
% 2.56/0.66 ($true = ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y0 @ (intersection @ Y1 @ Y2)) @ (mand @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2))))))))))))),
% 2.56/0.66 inference(fool_elimination,[],[f55])).
% 2.56/0.66 thf(f61,plain,(
% 2.56/0.66 (mlocal @ (mforall_di @ (^[X0 : $i] : ((mforall_di @ (^[X1 : $i] : ((mequiv @ (subset @ X0 @ X1) @ (mforall_di @ (^[X2 : $i] : ((mimplies @ (member @ X2 @ X0) @ (member @ X2 @ X1)))))))))))))),
% 2.56/0.66 inference(rectify,[],[f34])).
% 2.56/0.66 thf(f62,plain,(
% 2.56/0.66 (((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1))))))))))) = $true)),
% 2.56/0.66 inference(fool_elimination,[],[f61])).
% 2.56/0.66 thf(f65,plain,(
% 2.56/0.66 (mforall_di = (^[X0 : ($i > mworld > $o), X1 : mworld] : (! [X2 : $i] : (X0 @ X2 @ X1))))),
% 2.56/0.66 inference(rectify,[],[f11])).
% 2.56/0.66 thf(f66,plain,(
% 2.56/0.66 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 2.56/0.66 inference(fool_elimination,[],[f65])).
% 2.56/0.66 thf(f75,plain,(
% 2.56/0.66 (mnot = (^[X0 : (mworld > $o), X1 : mworld] : (~(X0 @ X1))))),
% 2.56/0.66 inference(rectify,[],[f2])).
% 2.56/0.66 thf(f76,plain,(
% 2.56/0.66 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 2.56/0.66 inference(fool_elimination,[],[f75])).
% 2.56/0.66 thf(f79,plain,(
% 2.56/0.66 (mequiv = (^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X1 @ X2) <=> (X0 @ X2))))),
% 2.56/0.66 inference(rectify,[],[f6])).
% 2.56/0.66 thf(f80,plain,(
% 2.56/0.66 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) = (Y0 @ Y2))))))))),
% 2.56/0.66 inference(fool_elimination,[],[f79])).
% 2.56/0.66 thf(f99,plain,(
% 2.56/0.66 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 2.56/0.66 inference(fool_elimination,[],[f1])).
% 2.56/0.66 thf(f102,plain,(
% 2.56/0.66 (mimplies = (^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 2.56/0.66 inference(rectify,[],[f5])).
% 2.56/0.66 thf(f103,plain,(
% 2.56/0.66 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 2.56/0.66 inference(fool_elimination,[],[f102])).
% 2.56/0.66 thf(f104,plain,(
% 2.56/0.66 (mlocal @ (mforall_di @ (^[X0 : $i] : ((mforall_di @ (^[X1 : $i] : ((mequiv @ (equal_set @ X0 @ X1) @ (mand @ (subset @ X0 @ X1) @ (subset @ X1 @ X0))))))))))),
% 2.56/0.66 inference(rectify,[],[f35])).
% 2.56/0.66 thf(f105,plain,(
% 2.56/0.66 ($true = ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (equal_set @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0))))))))))),
% 2.56/0.66 inference(fool_elimination,[],[f104])).
% 2.56/0.66 thf(f110,plain,(
% 2.56/0.66 ~(mlocal @ (mforall_di @ (^[X0 : $i] : ((equal_set @ (intersection @ X0 @ empty_set) @ empty_set)))))),
% 2.56/0.66 inference(rectify,[],[f46])).
% 2.56/0.66 thf(f111,plain,(
% 2.56/0.66 ($true = ((~ (mlocal @ (mforall_di @ (^[Y0 : $i]: (equal_set @ (intersection @ Y0 @ empty_set) @ empty_set)))))))),
% 2.56/0.66 inference(fool_elimination,[],[f110])).
% 2.56/0.66 thf(f114,plain,(
% 2.56/0.66 ((^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) & (X1 @ X2))) = mand)),
% 2.56/0.66 inference(rectify,[],[f3])).
% 2.56/0.66 thf(f115,plain,(
% 2.56/0.66 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 2.56/0.66 inference(fool_elimination,[],[f114])).
% 2.56/0.66 thf(f139,plain,(
% 2.56/0.66 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 2.56/0.66 inference(cnf_transformation,[],[f103])).
% 2.56/0.66 thf(f141,plain,(
% 2.56/0.66 (((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1))))))))))) = $true)),
% 2.56/0.66 inference(cnf_transformation,[],[f62])).
% 2.56/0.66 thf(f143,plain,(
% 2.56/0.66 ($true = ((~ (mlocal @ (mforall_di @ (^[Y0 : $i]: (equal_set @ (intersection @ Y0 @ empty_set) @ empty_set)))))))),
% 2.56/0.66 inference(cnf_transformation,[],[f111])).
% 2.56/0.66 thf(f149,plain,(
% 2.56/0.66 ($true = ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mnot @ (member @ Y0 @ empty_set)))))))),
% 2.56/0.66 inference(cnf_transformation,[],[f52])).
% 2.56/0.66 thf(f156,plain,(
% 2.56/0.66 ($true = ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (equal_set @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0))))))))))),
% 2.56/0.66 inference(cnf_transformation,[],[f105])).
% 2.56/0.66 thf(f165,plain,(
% 2.56/0.66 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 2.56/0.66 inference(cnf_transformation,[],[f99])).
% 2.56/0.66 thf(f166,plain,(
% 2.56/0.66 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 2.56/0.66 inference(cnf_transformation,[],[f66])).
% 2.56/0.66 thf(f167,plain,(
% 2.56/0.66 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 2.56/0.66 inference(cnf_transformation,[],[f76])).
% 2.56/0.66 thf(f170,plain,(
% 2.56/0.66 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) = (Y0 @ Y2))))))))),
% 2.56/0.66 inference(cnf_transformation,[],[f80])).
% 2.56/0.66 thf(f172,plain,(
% 2.56/0.66 ($true = ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y0 @ (intersection @ Y1 @ Y2)) @ (mand @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2))))))))))))),
% 2.56/0.66 inference(cnf_transformation,[],[f56])).
% 2.56/0.66 thf(f173,plain,(
% 2.56/0.66 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 2.56/0.66 inference(cnf_transformation,[],[f115])).
% 2.56/0.66 thf(f182,definition,(
% 2.56/0.66 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 2.56/0.66 introduced(theory,[fool_exhaustiveness_axiom])).
% 2.56/0.66 thf(f187,plain,(
% 2.56/0.66 ($true = (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) = (Y2 @ Y4))))))) @ (subset @ Y0 @ Y1) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1))))))))))))),
% 2.56/0.66 inference(definition_unfolding,[],[f141,f165,f166,f166,f170,f166,f139])).
% 2.56/0.66 thf(f188,plain,(
% 2.56/0.66 ($true = ((~ ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: (equal_set @ (intersection @ Y0 @ empty_set) @ empty_set)))))))),
% 2.56/0.66 inference(definition_unfolding,[],[f143,f165,f166])).
% 2.56/0.66 thf(f194,plain,(
% 2.56/0.66 ($true = (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (~ (Y1 @ Y2))))) @ (member @ Y0 @ empty_set)))))))),
% 2.56/0.66 inference(definition_unfolding,[],[f149,f165,f166,f167])).
% 2.56/0.66 thf(f200,plain,(
% 2.56/0.66 ($true = (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) = (Y2 @ Y4))))))) @ (equal_set @ Y0 @ Y1) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0))))))))))),
% 2.56/0.66 inference(definition_unfolding,[],[f156,f165,f166,f166,f170,f173])).
% 2.56/0.66 thf(f210,plain,(
% 2.56/0.66 ($true = (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y4 @ Y5) = (Y3 @ Y5))))))) @ (member @ Y0 @ (intersection @ Y1 @ Y2)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y4 @ Y5) & (Y3 @ Y5))))))) @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2))))))))))))),
% 2.56/0.66 inference(definition_unfolding,[],[f172,f165,f166,f166,f166,f170,f173])).
% 2.56/0.66 thf(f219,plain,(
% 2.56/0.66 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((member @ Y0 @ Y2 @ mactual) & (member @ Y0 @ Y1 @ mactual)) = (member @ Y0 @ (intersection @ Y1 @ Y2) @ mactual))))))))))),
% 2.56/0.66 inference(beta-eta_normalization,[],[f210])).
% 2.56/0.66 thf(f234,plain,(
% 2.56/0.66 ($true = ((!! @ $i @ (^[Y0 : $i]: (~ (member @ Y0 @ empty_set @ mactual))))))),
% 2.56/0.66 inference(beta-eta_normalization,[],[f194])).
% 2.56/0.66 thf(f237,plain,(
% 2.56/0.66 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: (equal_set @ (intersection @ Y0 @ empty_set) @ empty_set @ mactual))))))),
% 2.56/0.66 inference(beta-eta_normalization,[],[f188])).
% 2.56/0.66 thf(f238,plain,(
% 2.56/0.66 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual)))) = (subset @ Y0 @ Y1 @ mactual))))))))),
% 2.56/0.66 inference(beta-eta_normalization,[],[f187])).
% 2.56/0.66 thf(f244,plain,(
% 2.56/0.66 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((subset @ Y1 @ Y0 @ mactual) & (subset @ Y0 @ Y1 @ mactual)) = (equal_set @ Y0 @ Y1 @ mactual))))))))),
% 2.56/0.66 inference(beta-eta_normalization,[],[f200])).
% 2.56/0.66 thf(f249,plain,(
% 2.56/0.66 ($false = ((!! @ $i @ (^[Y0 : $i]: (equal_set @ (intersection @ Y0 @ empty_set) @ empty_set @ mactual)))))),
% 2.56/0.66 inference(not_proxy_clausification,[],[f237])).
% 2.56/0.66 thf(f250,plain,(
% 2.56/0.66 ((((^[Y0 : $i]: (equal_set @ (intersection @ Y0 @ empty_set) @ empty_set @ mactual)) @ sK0)) = $false)),
% 2.56/0.66 inference(sigma_proxy_clausification,[],[f249])).
% 2.56/0.66 thf(f251,plain,(
% 2.56/0.66 ($false = ((equal_set @ (intersection @ sK0 @ empty_set) @ empty_set @ mactual)))),
% 2.56/0.66 inference(beta-eta_normalization,[],[f250])).
% 2.56/0.66 thf(f267,plain,(
% 2.56/0.66 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (~ (member @ Y0 @ empty_set @ mactual))) @ X1)))) )),
% 2.56/0.66 inference(pi_proxy_clausification,[],[f234])).
% 2.56/0.66 thf(f268,plain,(
% 2.56/0.66 ( ! [X1 : $i] : (($true = ((~ (member @ X1 @ empty_set @ mactual))))) )),
% 2.56/0.66 inference(beta-eta_normalization,[],[f267])).
% 2.56/0.66 thf(f269,plain,(
% 2.56/0.66 ( ! [X1 : $i] : (($false = ((member @ X1 @ empty_set @ mactual)))) )),
% 2.56/0.66 inference(not_proxy_clausification,[],[f268])).
% 2.56/0.66 thf(f389,plain,(
% 2.56/0.66 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((subset @ Y1 @ Y0 @ mactual) & (subset @ Y0 @ Y1 @ mactual)) = (equal_set @ Y0 @ Y1 @ mactual))))) @ X1)))) )),
% 2.56/0.66 inference(pi_proxy_clausification,[],[f244])).
% 2.56/0.66 thf(f390,plain,(
% 2.56/0.66 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: (((subset @ Y0 @ X1 @ mactual) & (subset @ X1 @ Y0 @ mactual)) = (equal_set @ X1 @ Y0 @ mactual))))))) )),
% 2.56/0.66 inference(beta-eta_normalization,[],[f389])).
% 2.56/0.66 thf(f391,plain,(
% 2.56/0.66 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: (((subset @ Y0 @ X1 @ mactual) & (subset @ X1 @ Y0 @ mactual)) = (equal_set @ X1 @ Y0 @ mactual))) @ X2)))) )),
% 2.56/0.66 inference(pi_proxy_clausification,[],[f390])).
% 2.56/0.66 thf(f392,plain,(
% 2.56/0.66 ( ! [X2 : $i,X1 : $i] : (($true = ((((subset @ X2 @ X1 @ mactual) & (subset @ X1 @ X2 @ mactual)) = (equal_set @ X1 @ X2 @ mactual))))) )),
% 2.56/0.66 inference(beta-eta_normalization,[],[f391])).
% 2.56/0.66 thf(f402,plain,(
% 2.56/0.66 ( ! [X0 : $i,X1 : $i] : ((((($true & (subset @ X1 @ X0 @ mactual)) = (equal_set @ X1 @ X0 @ mactual))) = $true) | (((subset @ X0 @ X1 @ mactual)) = $false)) )),
% 2.56/0.66 inference(superposition,[],[f392,f182])).
% 2.56/0.66 thf(f405,plain,(
% 2.56/0.66 ( ! [X0 : $i,X1 : $i] : (($true = (((subset @ X1 @ X0 @ mactual) = (equal_set @ X1 @ X0 @ mactual)))) | (((subset @ X0 @ X1 @ mactual)) = $false)) )),
% 2.56/0.66 inference(boolean_simplification,[],[f402])).
% 2.56/0.66 thf(f415,definition,(
% 2.56/0.66 spl1_1 <=> (((subset @ (intersection @ sK0 @ empty_set) @ empty_set @ mactual)) = $false)),
% 2.56/0.66 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 2.56/0.66 thf(f417,plain,(
% 2.56/0.66 (((subset @ (intersection @ sK0 @ empty_set) @ empty_set @ mactual)) = $false) | ~spl1_1),
% 2.56/0.66 inference(avatar_component_clause,[],[f415])).
% 2.56/0.66 thf(f419,definition,(
% 2.56/0.66 spl1_2 <=> (((subset @ empty_set @ (intersection @ sK0 @ empty_set) @ mactual)) = $false)),
% 2.56/0.66 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 2.56/0.66 thf(f421,plain,(
% 2.56/0.66 (((subset @ empty_set @ (intersection @ sK0 @ empty_set) @ mactual)) = $false) | ~spl1_2),
% 2.56/0.66 inference(avatar_component_clause,[],[f419])).
% 2.56/0.66 thf(f614,plain,(
% 2.56/0.66 ($true = (((subset @ (intersection @ sK0 @ empty_set) @ empty_set @ mactual) = $false))) | (((subset @ empty_set @ (intersection @ sK0 @ empty_set) @ mactual)) = $false)),
% 2.56/0.66 inference(superposition,[],[f405,f251])).
% 2.56/0.66 thf(f624,plain,(
% 2.56/0.66 (((subset @ empty_set @ (intersection @ sK0 @ empty_set) @ mactual)) = $false) | ($true = ((~ (subset @ (intersection @ sK0 @ empty_set) @ empty_set @ mactual))))),
% 2.56/0.66 inference(boolean_simplification,[],[f614])).
% 2.56/0.66 thf(f1243,plain,(
% 2.56/0.66 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual)))) = (subset @ Y0 @ Y1 @ mactual))))) @ X1)))) )),
% 2.56/0.66 inference(pi_proxy_clausification,[],[f238])).
% 2.56/0.66 thf(f1244,plain,(
% 2.56/0.66 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual)))) = (subset @ X1 @ Y0 @ mactual))))))) )),
% 2.56/0.66 inference(beta-eta_normalization,[],[f1243])).
% 2.56/0.66 thf(f1245,plain,(
% 2.56/0.66 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual)))) = (subset @ X1 @ Y0 @ mactual))) @ X2)))) )),
% 2.56/0.66 inference(pi_proxy_clausification,[],[f1244])).
% 2.56/0.66 thf(f1246,plain,(
% 2.56/0.66 ( ! [X2 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ X1 @ mactual) => (member @ Y0 @ X2 @ mactual)))) = (subset @ X1 @ X2 @ mactual))))) )),
% 2.56/0.66 inference(beta-eta_normalization,[],[f1245])).
% 2.56/0.66 thf(f1274,plain,(
% 2.56/0.66 ((((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ empty_set @ mactual) => (member @ Y0 @ (intersection @ sK0 @ empty_set) @ mactual)))) = $false)) = $true) | ~spl1_2),
% 2.56/0.66 inference(superposition,[],[f1246,f421])).
% 2.56/0.66 thf(f1282,plain,(
% 2.56/0.66 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ empty_set @ mactual) => (member @ Y0 @ (intersection @ sK0 @ empty_set) @ mactual))))))) | ~spl1_2),
% 2.56/0.66 inference(boolean_simplification,[],[f1274])).
% 2.56/0.66 thf(f1285,plain,(
% 2.56/0.66 (((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ empty_set @ mactual) => (member @ Y0 @ (intersection @ sK0 @ empty_set) @ mactual))))) = $false) | ~spl1_2),
% 2.56/0.66 inference(not_proxy_clausification,[],[f1282])).
% 2.56/0.66 thf(f1286,plain,(
% 2.56/0.66 ((((^[Y0 : $i]: ((member @ Y0 @ empty_set @ mactual) => (member @ Y0 @ (intersection @ sK0 @ empty_set) @ mactual))) @ sK2)) = $false) | ~spl1_2),
% 2.56/0.66 inference(sigma_proxy_clausification,[],[f1285])).
% 2.56/0.66 thf(f1288,plain,(
% 2.56/0.66 ((((member @ sK2 @ empty_set @ mactual) => (member @ sK2 @ (intersection @ sK0 @ empty_set) @ mactual))) = $false) | ~spl1_2),
% 2.56/0.66 inference(beta-eta_normalization,[],[f1286])).
% 2.56/0.66 thf(f1290,plain,(
% 2.56/0.66 ((($false => (member @ sK2 @ (intersection @ sK0 @ empty_set) @ mactual))) = $false) | ~spl1_2),
% 2.56/0.66 inference(forward_demodulation,[],[f1288,f269])).
% 2.56/0.66 thf(f1291,plain,(
% 2.56/0.66 ($true = $false) | ~spl1_2),
% 2.56/0.66 inference(boolean_simplification,[],[f1290])).
% 2.56/0.66 thf(f1292,plain,(
% 2.56/0.66 $false | ~spl1_2),
% 2.56/0.66 inference(trivial_inequality_removal,[],[f1291])).
% 2.56/0.66 thf(f1293,plain,(
% 2.56/0.66 ~spl1_2),
% 2.56/0.66 inference(avatar_contradiction_clause,[],[f1292])).
% 2.56/0.66 thf(f1302,plain,(
% 2.56/0.66 (((subset @ empty_set @ (intersection @ sK0 @ empty_set) @ mactual)) = $false) | (((subset @ (intersection @ sK0 @ empty_set) @ empty_set @ mactual)) = $false)),
% 2.56/0.66 inference(not_proxy_clausification,[],[f624])).
% 2.56/0.66 thf(f1304,plain,(
% 2.56/0.66 spl1_2 | spl1_1),
% 2.56/0.66 inference(avatar_split_clause,[],[f1302,f415,f419])).
% 2.56/0.66 thf(f1316,plain,(
% 2.56/0.66 ($true = (((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK0 @ empty_set) @ mactual) => (member @ Y0 @ empty_set @ mactual)))) = $false))) | ~spl1_1),
% 2.56/0.66 inference(superposition,[],[f1246,f417])).
% 2.56/0.66 thf(f1319,plain,(
% 2.56/0.66 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK0 @ empty_set) @ mactual) => (member @ Y0 @ empty_set @ mactual))))))) | ~spl1_1),
% 2.56/0.66 inference(boolean_simplification,[],[f1316])).
% 2.56/0.66 thf(f1331,plain,(
% 2.56/0.66 (((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK0 @ empty_set) @ mactual) => (member @ Y0 @ empty_set @ mactual))))) = $false) | ~spl1_1),
% 2.56/0.66 inference(not_proxy_clausification,[],[f1319])).
% 2.56/0.66 thf(f1490,plain,(
% 2.56/0.66 ($false = (((^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK0 @ empty_set) @ mactual) => (member @ Y0 @ empty_set @ mactual))) @ sK3))) | ~spl1_1),
% 2.56/0.66 inference(sigma_proxy_clausification,[],[f1331])).
% 2.56/0.66 thf(f1492,plain,(
% 2.56/0.66 ($false = (((member @ sK3 @ (intersection @ sK0 @ empty_set) @ mactual) => (member @ sK3 @ empty_set @ mactual)))) | ~spl1_1),
% 2.56/0.66 inference(beta-eta_normalization,[],[f1490])).
% 2.56/0.66 thf(f1494,plain,(
% 2.56/0.66 ((((member @ sK3 @ (intersection @ sK0 @ empty_set) @ mactual) => $false)) = $false) | ~spl1_1),
% 2.56/0.66 inference(forward_demodulation,[],[f1492,f269])).
% 2.56/0.66 thf(f1495,plain,(
% 2.56/0.66 ($false = ((~ (member @ sK3 @ (intersection @ sK0 @ empty_set) @ mactual)))) | ~spl1_1),
% 2.56/0.66 inference(boolean_simplification,[],[f1494])).
% 2.56/0.66 thf(f1496,plain,(
% 2.56/0.66 ($true = ((member @ sK3 @ (intersection @ sK0 @ empty_set) @ mactual))) | ~spl1_1),
% 2.56/0.66 inference(not_proxy_clausification,[],[f1495])).
% 2.56/0.66 thf(f2032,plain,(
% 2.56/0.66 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((member @ Y0 @ Y2 @ mactual) & (member @ Y0 @ Y1 @ mactual)) = (member @ Y0 @ (intersection @ Y1 @ Y2) @ mactual))))))) @ X1)))) )),
% 2.56/0.66 inference(pi_proxy_clausification,[],[f219])).
% 2.56/0.66 thf(f2033,plain,(
% 2.56/0.66 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((member @ X1 @ Y1 @ mactual) & (member @ X1 @ Y0 @ mactual)) = (member @ X1 @ (intersection @ Y0 @ Y1) @ mactual))))))))) )),
% 2.56/0.66 inference(beta-eta_normalization,[],[f2032])).
% 2.56/0.66 thf(f2064,plain,(
% 2.56/0.66 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((member @ X1 @ Y1 @ mactual) & (member @ X1 @ Y0 @ mactual)) = (member @ X1 @ (intersection @ Y0 @ Y1) @ mactual))))) @ X2)))) )),
% 2.56/0.66 inference(pi_proxy_clausification,[],[f2033])).
% 2.56/0.66 thf(f2065,plain,(
% 2.56/0.66 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: (((member @ X1 @ Y0 @ mactual) & (member @ X1 @ X2 @ mactual)) = (member @ X1 @ (intersection @ X2 @ Y0) @ mactual))))))) )),
% 2.56/0.66 inference(beta-eta_normalization,[],[f2064])).
% 2.56/0.66 thf(f2066,plain,(
% 2.56/0.66 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: (((member @ X1 @ Y0 @ mactual) & (member @ X1 @ X2 @ mactual)) = (member @ X1 @ (intersection @ X2 @ Y0) @ mactual))) @ X3)))) )),
% 2.56/0.66 inference(pi_proxy_clausification,[],[f2065])).
% 2.56/0.66 thf(f2067,plain,(
% 2.56/0.66 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((((member @ X1 @ X3 @ mactual) & (member @ X1 @ X2 @ mactual)) = (member @ X1 @ (intersection @ X2 @ X3) @ mactual))))) )),
% 2.56/0.66 inference(beta-eta_normalization,[],[f2066])).
% 2.56/0.66 thf(f2109,plain,(
% 2.56/0.66 (((((member @ sK3 @ empty_set @ mactual) & (member @ sK3 @ sK0 @ mactual)) = $true)) = $true) | ~spl1_1),
% 2.56/0.66 inference(superposition,[],[f2067,f1496])).
% 2.56/0.66 thf(f2190,plain,(
% 2.56/0.66 ($true = (((member @ sK3 @ empty_set @ mactual) & (member @ sK3 @ sK0 @ mactual)))) | ~spl1_1),
% 2.56/0.66 inference(boolean_simplification,[],[f2109])).
% 2.56/0.66 thf(f2280,plain,(
% 2.56/0.66 ((($false & (member @ sK3 @ sK0 @ mactual))) = $true) | ~spl1_1),
% 2.56/0.66 inference(forward_demodulation,[],[f2190,f269])).
% 2.56/0.66 thf(f2281,plain,(
% 2.56/0.66 ($true = $false) | ~spl1_1),
% 2.56/0.66 inference(boolean_simplification,[],[f2280])).
% 2.56/0.66 thf(f2282,plain,(
% 2.56/0.66 $false | ~spl1_1),
% 2.56/0.66 inference(trivial_inequality_removal,[],[f2281])).
% 2.56/0.66 thf(f2283,plain,(
% 2.56/0.66 ~spl1_1),
% 2.56/0.66 inference(avatar_contradiction_clause,[],[f2282])).
% 2.56/0.66 cnf(s2, plain, ~spl1_2, inference(sat_conversion,[],[f1293])).
% 2.56/0.66 cnf(s7, plain, spl1_1 | spl1_2, inference(sat_conversion,[],[f1304])).
% 2.56/0.66 cnf(s13, plain, ~spl1_1, inference(sat_conversion,[],[f2283])).
% 2.56/0.66 cnf(s15, plain, spl1_2, inference(rat,[],[s7,s13])).
% 2.56/0.66 cnf(s16, plain, $false, inference(rat,[],[s2,s15])).
% 2.56/0.66 thf(f2306,plain,(
% 2.56/0.66 $false),
% 2.56/0.66 inference(avatar_sat_refutation,[],[s16])).
% 2.56/0.66 % SZS output end Proof for theBenchmark
% 2.56/0.66 % (2504178)------------------------------
% 2.56/0.66 % (2504178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.66 % (2504178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.66 % (2504178)CaDiCaL version: 2.1.3
% 2.56/0.66 % (2504178)Termination reason: Refutation
% 2.56/0.66 % (2504178)Time elapsed: 0.187 s
% 2.56/0.66 % (2504178)Peak memory usage: 14 MB
% 2.56/0.66 % (2504178)Instructions burned: 248 (million)
% 2.56/0.66 % (2504111)Success in time 0.42 s
% 2.56/0.66 % Vampire exiting
%------------------------------------------------------------------------------