%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL950^17 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:14:55 AM UTC 2026
% Result : Theorem 13.39s 2.61s
% Output : Refutation 13.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL950^17 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.28 % Computer : n006.cluster.edu
% 0.14/0.28 % Model : x86_64 x86_64
% 0.14/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.28 % Memory : 8046.5625MB
% 0.14/0.28 % OS : Linux 6.8.0-71-generic
% 0.14/0.28 % CPULimit : 300
% 0.14/0.28 % WCLimit : 300
% 0.14/0.28 % DateTime : Tue Sep 29 10:49:39 UTC 2026
% 0.14/0.29 % CPUTime :
% 0.14/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.29/0.34 Running higher-order theorem proving
% 0.29/0.35 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.20/0.55 % (554195)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.20/0.55 % (554206)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.20/0.55 % (554206)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
% 1.20/0.55 % (554206)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=3844589638:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.20/0.55 % (554205)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1766176860:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.20/0.55 % (554203)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=2969973975: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)
% 1.20/0.55 % (554201)lrs+10_16_si=on:nwc=1.5:random_seed=4264218322:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.20/0.55 % (554200)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2175043008:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.20/0.55 % (554202)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2470307004:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.20/0.55 % (554204)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1288830380:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.20/0.55 % (554202)Instruction limit reached!
% 1.20/0.55 % (554202)------------------------------
% 1.20/0.55 % (554202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.55 % (554202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.55 % (554202)CaDiCaL version: 2.1.3
% 1.20/0.55 % (554202)Termination reason: Instruction limit
% 1.20/0.55 % (554202)Termination phase: Property scanning
% 1.20/0.55 % (554202)Time elapsed: 0.003 s
% 1.20/0.55 % (554202)Peak memory usage: 10 MB
% 1.20/0.55 % (554202)Instructions burned: 3 (million)
% 1.20/0.55 % (554201)Instruction limit reached!
% 1.20/0.55 % (554201)------------------------------
% 1.20/0.55 % (554201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.55 % (554201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.55 % (554201)CaDiCaL version: 2.1.3
% 1.20/0.55 % (554201)Termination reason: Instruction limit
% 1.20/0.55 % (554201)Termination phase: Saturation
% 1.20/0.55 % (554201)Time elapsed: 0.014 s
% 1.20/0.55 % (554201)Peak memory usage: 11 MB
% 1.20/0.55 % (554201)Instructions burned: 18 (million)
% 1.20/0.55 % (554204)Instruction limit reached!
% 1.20/0.55 % (554204)------------------------------
% 1.20/0.55 % (554204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.55 % (554204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.55 % (554204)CaDiCaL version: 2.1.3
% 1.20/0.55 % (554204)Termination reason: Instruction limit
% 1.20/0.55 % (554204)Termination phase: Saturation
% 1.20/0.55 % (554204)Time elapsed: 0.024 s
% 1.20/0.55 % (554204)Peak memory usage: 12 MB
% 1.20/0.55 % (554204)Instructions burned: 24 (million)
% 1.20/0.55 % (554214)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3615545927:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.20/0.55 % (554214)Instruction limit reached!
% 1.20/0.55 % (554214)------------------------------
% 1.20/0.55 % (554214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.55 % (554214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.55 % (554214)CaDiCaL version: 2.1.3
% 1.20/0.55 % (554214)Termination reason: Instruction limit
% 1.20/0.55 % (554214)Termination phase: Property scanning
% 1.20/0.55 % (554214)Time elapsed: 0.004 s
% 1.20/0.55 % (554214)Peak memory usage: 10 MB
% 1.20/0.55 % (554214)Instructions burned: 3 (million)
% 1.20/0.55 % (554215)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2089878791:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.20/0.55 % (554206)Instruction limit reached!
% 1.20/0.60 % (554206)------------------------------
% 1.20/0.60 % (554206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.60 % (554206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.60 % (554206)CaDiCaL version: 2.1.3
% 1.20/0.60 % (554206)Termination reason: Instruction limit
% 1.20/0.60 % (554206)Termination phase: Saturation
% 1.20/0.60 % (554206)Time elapsed: 0.066 s
% 1.20/0.60 % (554206)Peak memory usage: 13 MB
% 1.20/0.60 % (554206)Instructions burned: 157 (million)
% 1.20/0.60 % (554215)Instruction limit reached!
% 1.20/0.60 % (554215)------------------------------
% 1.20/0.60 % (554215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.60 % (554215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.60 % (554215)CaDiCaL version: 2.1.3
% 1.20/0.60 % (554215)Termination reason: Instruction limit
% 1.20/0.60 % (554215)Termination phase: Property scanning
% 1.20/0.60 % (554215)Time elapsed: 0.005 s
% 1.20/0.60 % (554215)Peak memory usage: 10 MB
% 1.20/0.60 % (554215)Instructions burned: 5 (million)
% 1.20/0.60 % (554216)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.20/0.60 % (554205)Instruction limit reached!
% 1.20/0.60 % (554205)------------------------------
% 1.20/0.60 % (554205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.60 % (554205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.60 % (554205)CaDiCaL version: 2.1.3
% 1.20/0.60 % (554205)Termination reason: Instruction limit
% 1.20/0.60 % (554205)Termination phase: Saturation
% 1.20/0.60 % (554205)Time elapsed: 0.058 s
% 1.20/0.60 % (554205)Peak memory usage: 12 MB
% 1.20/0.60 % (554205)Instructions burned: 75 (million)
% 1.20/0.60 % (554216)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3945499896:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.20/0.60 % (554216)Instruction limit reached!
% 1.20/0.60 % (554216)------------------------------
% 1.20/0.60 % (554216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.60 % (554216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.60 % (554216)CaDiCaL version: 2.1.3
% 1.20/0.60 % (554216)Termination reason: Instruction limit
% 1.20/0.60 % (554216)Termination phase: Saturation
% 1.20/0.60 % (554216)Time elapsed: 0.007 s
% 1.20/0.60 % (554216)Peak memory usage: 11 MB
% 1.20/0.60 % (554216)Instructions burned: 8 (million)
% 1.20/0.60 % (554200)Instruction limit reached!
% 1.20/0.60 % (554200)------------------------------
% 1.20/0.60 % (554200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.60 % (554200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.60 % (554200)CaDiCaL version: 2.1.3
% 1.20/0.60 % (554200)Termination reason: Instruction limit
% 1.20/0.60 % (554200)Termination phase: Saturation
% 1.20/0.60 % (554200)Time elapsed: 0.074 s
% 1.20/0.60 % (554200)Peak memory usage: 12 MB
% 1.20/0.60 % (554200)Instructions burned: 87 (million)
% 1.20/0.60 % (554219)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=537646963:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.20/0.60 % (554222)lrs+10_1_si=on:cs=on:random_seed=3540016060:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.20/0.60 % (554221)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=4208210578:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.20/0.60 % (554219)Instruction limit reached!
% 1.20/0.60 % (554219)------------------------------
% 1.20/0.60 % (554219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.60 % (554219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.60 % (554219)CaDiCaL version: 2.1.3
% 1.20/0.60 % (554219)Termination reason: Instruction limit
% 1.20/0.60 % (554219)Termination phase: Saturation
% 1.20/0.60 % (554219)Time elapsed: 0.010 s
% 1.20/0.60 % (554219)Peak memory usage: 12 MB
% 1.20/0.60 % (554219)Instructions burned: 12 (million)
% 1.20/0.60 % (554222)Instruction limit reached!
% 1.20/0.60 % (554222)------------------------------
% 1.20/0.60 % (554222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.60 % (554222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.64 % (554222)CaDiCaL version: 2.1.3
% 1.20/0.64 % (554222)Termination reason: Instruction limit
% 1.20/0.64 % (554222)Termination phase: Saturation
% 1.20/0.64 % (554222)Time elapsed: 0.007 s
% 1.20/0.64 % (554222)Peak memory usage: 11 MB
% 1.20/0.64 % (554222)Instructions burned: 9 (million)
% 1.20/0.64 % (554224)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.20/0.64 % (554224)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=1659551833:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.20/0.64 % (554220)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
% 1.20/0.64 % (554220)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.20/0.64 % (554224)Instruction limit reached!
% 1.20/0.64 % (554224)------------------------------
% 1.20/0.64 % (554224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.64 % (554224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.64 % (554224)CaDiCaL version: 2.1.3
% 1.20/0.64 % (554224)Termination reason: Instruction limit
% 1.20/0.64 % (554224)Termination phase: Property scanning
% 1.20/0.64 % (554224)Time elapsed: 0.002 s
% 1.20/0.64 % (554224)Peak memory usage: 9 MB
% 1.20/0.64 % (554224)Instructions burned: 2 (million)
% 1.20/0.64 % (554225)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=267939489:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.20/0.64 % (554220)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2312264631:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.20/0.64 % (554225)Refutation not found, incomplete strategy
% 1.20/0.64 % (554225)------------------------------
% 1.20/0.64 % (554225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.64 % (554225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.64 % (554225)CaDiCaL version: 2.1.3
% 1.20/0.64 % (554225)Termination reason: Refutation not found, incomplete strategy
% 1.20/0.64 % (554225)Time elapsed: 0.008 s
% 1.20/0.64 % (554225)Peak memory usage: 12 MB
% 1.20/0.64 % (554225)Instructions burned: 8 (million)
% 1.20/0.64 % (554225)------------------------------
% 1.20/0.64 % (554225)------------------------------
% 1.20/0.64 % (554220)Instruction limit reached!
% 1.20/0.64 % (554220)------------------------------
% 1.20/0.64 % (554220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.64 % (554220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.64 % (554220)CaDiCaL version: 2.1.3
% 1.20/0.64 % (554220)Termination reason: Instruction limit
% 1.20/0.64 % (554220)Termination phase: Saturation
% 1.20/0.64 % (554220)Time elapsed: 0.012 s
% 1.20/0.64 % (554220)Peak memory usage: 11 MB
% 1.20/0.64 % (554220)Instructions burned: 29 (million)
% 1.20/0.64 % (554230)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3100677532:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.20/0.64 % (554229)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1880748256:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.20/0.64 % (554229)Refutation not found, incomplete strategy
% 1.20/0.64 % (554229)------------------------------
% 1.20/0.64 % (554229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.64 % (554229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.64 % (554229)CaDiCaL version: 2.1.3
% 1.20/0.64 % (554229)Termination reason: Refutation not found, incomplete strategy
% 1.20/0.64 % (554229)Time elapsed: 0.014 s
% 1.20/0.64 % (554236)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=289667774:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.20/0.64 % (554229)Peak memory usage: 12 MB
% 1.20/0.64 % (554229)Instructions burned: 15 (million)
% 2.32/0.77 % (554229)------------------------------
% 2.32/0.77 % (554229)------------------------------
% 2.32/0.77 % (554234)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2089884384:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.32/0.77 % (554236)Instruction limit reached!
% 2.32/0.77 % (554236)------------------------------
% 2.32/0.77 % (554236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.77 % (554236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.77 % (554236)CaDiCaL version: 2.1.3
% 2.32/0.77 % (554236)Termination reason: Instruction limit
% 2.32/0.77 % (554236)Termination phase: Saturation
% 2.32/0.77 % (554236)Time elapsed: 0.006 s
% 2.32/0.77 % (554236)Peak memory usage: 12 MB
% 2.32/0.77 % (554236)Instructions burned: 15 (million)
% 2.32/0.77 % (554230)Instruction limit reached!
% 2.32/0.77 % (554230)------------------------------
% 2.32/0.77 % (554230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.77 % (554230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.77 % (554230)CaDiCaL version: 2.1.3
% 2.32/0.77 % (554230)Termination reason: Instruction limit
% 2.32/0.77 % (554230)Termination phase: Saturation
% 2.32/0.77 % (554230)Time elapsed: 0.022 s
% 2.32/0.77 % (554230)Peak memory usage: 12 MB
% 2.32/0.77 % (554230)Instructions burned: 25 (million)
% 2.32/0.77 % (554235)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2320230760:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.32/0.77 % (554234)Instruction limit reached!
% 2.32/0.77 % (554234)------------------------------
% 2.32/0.77 % (554234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.77 % (554234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.77 % (554234)CaDiCaL version: 2.1.3
% 2.32/0.77 % (554234)Termination reason: Instruction limit
% 2.32/0.77 % (554234)Termination phase: Saturation
% 2.32/0.77 % (554234)Time elapsed: 0.012 s
% 2.32/0.77 % (554234)Peak memory usage: 11 MB
% 2.32/0.77 % (554234)Instructions burned: 14 (million)
% 2.32/0.77 % (554242)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3807823764:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.32/0.77 % (554221)Instruction limit reached!
% 2.32/0.77 % (554221)------------------------------
% 2.32/0.77 % (554221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.77 % (554221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.77 % (554221)CaDiCaL version: 2.1.3
% 2.32/0.77 % (554221)Termination reason: Instruction limit
% 2.32/0.77 % (554221)Termination phase: Saturation
% 2.32/0.77 % (554221)Time elapsed: 0.081 s
% 2.32/0.77 % (554221)Peak memory usage: 12 MB
% 2.32/0.77 % (554221)Instructions burned: 87 (million)
% 2.32/0.77 % (554243)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2750907442:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.32/0.77 % (554240)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=93812816: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)
% 2.32/0.77 % (554242)Instruction limit reached!
% 2.32/0.77 % (554242)------------------------------
% 2.32/0.77 % (554242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.77 % (554242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.77 % (554242)CaDiCaL version: 2.1.3
% 2.32/0.77 % (554242)Termination reason: Instruction limit
% 2.32/0.77 % (554242)Termination phase: Saturation
% 2.32/0.77 % (554242)Time elapsed: 0.012 s
% 2.32/0.77 % (554242)Peak memory usage: 12 MB
% 2.32/0.77 % (554242)Instructions burned: 27 (million)
% 2.32/0.77 % (554240)Instruction limit reached!
% 2.32/0.77 % (554240)------------------------------
% 2.32/0.77 % (554240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.77 % (554240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.77 % (554240)CaDiCaL version: 2.1.3
% 2.32/0.77 % (554240)Termination reason: Instruction limit
% 2.32/0.77 % (554240)Termination phase: Preprocessing 3
% 2.32/0.77 % (554240)Time elapsed: 0.003 s
% 2.32/0.77 % (554240)Peak memory usage: 10 MB
% 2.32/0.77 % (554240)Instructions burned: 3 (million)
% 2.32/0.77 % (554245)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=687862889:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.88/0.84 % (554250)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.88/0.84 % (554247)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
% 2.88/0.84 % (554247)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.88/0.84 % (554243)Instruction limit reached!
% 2.88/0.84 % (554243)------------------------------
% 2.88/0.84 % (554243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.84 % (554243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.84 % (554243)CaDiCaL version: 2.1.3
% 2.88/0.84 % (554243)Termination reason: Instruction limit
% 2.88/0.84 % (554243)Termination phase: Saturation
% 2.88/0.84 % (554243)Time elapsed: 0.018 s
% 2.88/0.84 % (554243)Peak memory usage: 11 MB
% 2.88/0.84 % (554243)Instructions burned: 23 (million)
% 2.88/0.84 % (554250)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=897566135:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.88/0.84 % (554247)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=754138589:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.88/0.84 % (554250)Instruction limit reached!
% 2.88/0.84 % (554250)------------------------------
% 2.88/0.84 % (554250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.84 % (554250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.84 % (554250)CaDiCaL version: 2.1.3
% 2.88/0.84 % (554250)Termination reason: Instruction limit
% 2.88/0.84 % (554250)Termination phase: Saturation
% 2.88/0.84 % (554250)Time elapsed: 0.004 s
% 2.88/0.84 % (554250)Peak memory usage: 12 MB
% 2.88/0.84 % (554250)Instructions burned: 9 (million)
% 2.88/0.84 % (554247)Instruction limit reached!
% 2.88/0.84 % (554247)------------------------------
% 2.88/0.84 % (554247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.84 % (554247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.84 % (554247)CaDiCaL version: 2.1.3
% 2.88/0.84 % (554247)Termination reason: Instruction limit
% 2.88/0.84 % (554247)Termination phase: Saturation
% 2.88/0.84 % (554247)Time elapsed: 0.011 s
% 2.88/0.84 % (554247)Peak memory usage: 11 MB
% 2.88/0.84 % (554247)Instructions burned: 14 (million)
% 2.88/0.84 % (554251)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=925711614:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.88/0.84 % (554256)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4148990457:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.88/0.84 % (554253)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2177180760:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.88/0.84 % (554256)Instruction limit reached!
% 2.88/0.84 % (554256)------------------------------
% 2.88/0.84 % (554256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.84 % (554256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.84 % (554256)CaDiCaL version: 2.1.3
% 2.88/0.84 % (554256)Termination reason: Instruction limit
% 2.88/0.84 % (554256)Termination phase: Saturation
% 2.88/0.84 % (554256)Time elapsed: 0.010 s
% 2.88/0.84 % (554256)Peak memory usage: 12 MB
% 2.88/0.84 % (554256)Instructions burned: 25 (million)
% 2.88/0.84 % (554253)Instruction limit reached!
% 2.88/0.84 % (554253)------------------------------
% 2.88/0.84 % (554253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.84 % (554253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.84 % (554253)CaDiCaL version: 2.1.3
% 2.88/0.84 % (554253)Termination reason: Instruction limit
% 2.88/0.84 % (554253)Termination phase: Saturation
% 2.88/0.84 % (554253)Time elapsed: 0.007 s
% 3.45/0.92 % (554253)Peak memory usage: 11 MB
% 3.45/0.92 % (554253)Instructions burned: 8 (million)
% 3.45/0.92 % (554251)Instruction limit reached!
% 3.45/0.92 % (554251)------------------------------
% 3.45/0.92 % (554251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.92 % (554251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.92 % (554251)CaDiCaL version: 2.1.3
% 3.45/0.92 % (554251)Termination reason: Instruction limit
% 3.45/0.92 % (554251)Termination phase: Saturation
% 3.45/0.92 % (554251)Time elapsed: 0.030 s
% 3.45/0.92 % (554251)Peak memory usage: 12 MB
% 3.45/0.92 % (554251)Instructions burned: 31 (million)
% 3.45/0.92 % (554245)Instruction limit reached!
% 3.45/0.92 % (554245)------------------------------
% 3.45/0.92 % (554245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.92 % (554245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.92 % (554245)CaDiCaL version: 2.1.3
% 3.45/0.92 % (554245)Termination reason: Instruction limit
% 3.45/0.92 % (554245)Termination phase: Saturation
% 3.45/0.92 % (554245)Time elapsed: 0.057 s
% 3.45/0.92 % (554245)Peak memory usage: 12 MB
% 3.45/0.92 % (554245)Instructions burned: 60 (million)
% 3.45/0.92 % (554261)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2873787365:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 3.45/0.92 % (554257)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2425537057:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 3.45/0.92 % (554262)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2810213964:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 3.45/0.92 % (554257)Instruction limit reached!
% 3.45/0.92 % (554257)------------------------------
% 3.45/0.92 % (554257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.92 % (554257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.92 % (554257)CaDiCaL version: 2.1.3
% 3.45/0.92 % (554257)Termination reason: Instruction limit
% 3.45/0.92 % (554257)Termination phase: Saturation
% 3.45/0.92 % (554257)Time elapsed: 0.021 s
% 3.45/0.92 % (554257)Peak memory usage: 12 MB
% 3.45/0.92 % (554257)Instructions burned: 21 (million)
% 3.45/0.92 % (554263)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1670962124:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 3.45/0.92 % (554265)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1746105650:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 3.45/0.92 % (554268)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.45/0.92 % (554268)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3340859906:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 3.45/0.92 % (554268)Instruction limit reached!
% 3.45/0.92 % (554268)------------------------------
% 3.45/0.92 % (554268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.92 % (554268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.92 % (554268)CaDiCaL version: 2.1.3
% 3.45/0.92 % (554268)Termination reason: Instruction limit
% 3.45/0.92 % (554268)Termination phase: Saturation
% 3.45/0.92 % (554268)Time elapsed: 0.007 s
% 3.45/0.92 % (554268)Peak memory usage: 11 MB
% 3.45/0.92 % (554268)Instructions burned: 8 (million)
% 3.45/0.92 % (554265)Instruction limit reached!
% 3.45/0.92 % (554265)------------------------------
% 3.45/0.92 % (554265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.92 % (554265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.92 % (554265)CaDiCaL version: 2.1.3
% 3.45/0.92 % (554265)Termination reason: Instruction limit
% 3.45/0.92 % (554265)Termination phase: Saturation
% 3.45/0.92 % (554265)Time elapsed: 0.039 s
% 3.45/0.92 % (554265)Peak memory usage: 12 MB
% 3.45/0.92 % (554265)Instructions burned: 43 (million)
% 3.45/0.92 % (554272)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3132404537:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.45/0.92 % (554273)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=3314515030:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 5.07/1.09 % (554272)Refutation not found, incomplete strategy
% 5.07/1.09 % (554272)------------------------------
% 5.07/1.09 % (554272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.09 % (554272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.09 % (554272)CaDiCaL version: 2.1.3
% 5.07/1.09 % (554272)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.09 % (554272)Time elapsed: 0.009 s
% 5.07/1.09 % (554272)Peak memory usage: 12 MB
% 5.07/1.09 % (554272)Instructions burned: 8 (million)
% 5.07/1.09 % (554272)------------------------------
% 5.07/1.09 % (554272)------------------------------
% 5.07/1.09 % (554273)Refutation not found, incomplete strategy
% 5.07/1.09 % (554273)------------------------------
% 5.07/1.09 % (554273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.09 % (554273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.09 % (554273)CaDiCaL version: 2.1.3
% 5.07/1.09 % (554273)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.09 % (554273)Time elapsed: 0.015 s
% 5.07/1.09 % (554273)Peak memory usage: 12 MB
% 5.07/1.09 % (554273)Instructions burned: 15 (million)
% 5.07/1.09 % (554273)------------------------------
% 5.07/1.09 % (554273)------------------------------
% 5.07/1.09 % (554262)Instruction limit reached!
% 5.07/1.09 % (554262)------------------------------
% 5.07/1.09 % (554262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.09 % (554262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.09 % (554262)CaDiCaL version: 2.1.3
% 5.07/1.09 % (554262)Termination reason: Instruction limit
% 5.07/1.09 % (554262)Termination phase: Saturation
% 5.07/1.09 % (554262)Time elapsed: 0.111 s
% 5.07/1.09 % (554262)Peak memory usage: 13 MB
% 5.07/1.09 % (554262)Instructions burned: 143 (million)
% 5.07/1.09 % (554276)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 5.07/1.09 % (554276)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1728368673:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 5.07/1.09 % (554235)Instruction limit reached!
% 5.07/1.09 % (554235)------------------------------
% 5.07/1.09 % (554235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.09 % (554235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.09 % (554235)CaDiCaL version: 2.1.3
% 5.07/1.09 % (554235)Termination reason: Instruction limit
% 5.07/1.09 % (554235)Termination phase: Saturation
% 5.07/1.09 % (554235)Time elapsed: 0.254 s
% 5.07/1.09 % (554235)Peak memory usage: 12 MB
% 5.07/1.09 % (554235)Instructions burned: 327 (million)
% 5.07/1.09 % (554278)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1036341616:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 5.07/1.09 % (554276)Instruction limit reached!
% 5.07/1.09 % (554276)------------------------------
% 5.07/1.09 % (554276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.09 % (554276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.09 % (554276)CaDiCaL version: 2.1.3
% 5.07/1.09 % (554276)Termination reason: Instruction limit
% 5.07/1.09 % (554276)Termination phase: Property scanning
% 5.07/1.09 % (554276)Time elapsed: 0.006 s
% 5.07/1.09 % (554276)Peak memory usage: 10 MB
% 5.07/1.09 % (554276)Instructions burned: 7 (million)
% 5.07/1.09 % (554277)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2308596085:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 5.07/1.09 % (554278)Instruction limit reached!
% 5.07/1.09 % (554278)------------------------------
% 5.07/1.09 % (554278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.09 % (554278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.09 % (554278)CaDiCaL version: 2.1.3
% 5.07/1.09 % (554278)Termination reason: Instruction limit
% 5.07/1.09 % (554278)Termination phase: Saturation
% 5.07/1.09 % (554278)Time elapsed: 0.015 s
% 5.07/1.09 % (554278)Peak memory usage: 12 MB
% 5.07/1.09 % (554278)Instructions burned: 20 (million)
% 5.07/1.15 % (554277)Instruction limit reached!
% 5.07/1.15 % (554277)------------------------------
% 5.07/1.15 % (554277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.15 % (554277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.15 % (554277)CaDiCaL version: 2.1.3
% 5.07/1.15 % (554277)Termination reason: Instruction limit
% 5.07/1.15 % (554277)Termination phase: Saturation
% 5.07/1.15 % (554277)Time elapsed: 0.020 s
% 5.07/1.15 % (554277)Peak memory usage: 12 MB
% 5.07/1.15 % (554277)Instructions burned: 23 (million)
% 5.07/1.15 % (554263)Instruction limit reached!
% 5.07/1.15 % (554263)------------------------------
% 5.07/1.15 % (554263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.15 % (554263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.15 % (554263)CaDiCaL version: 2.1.3
% 5.07/1.15 % (554263)Termination reason: Instruction limit
% 5.07/1.15 % (554263)Termination phase: Saturation
% 5.07/1.15 % (554263)Time elapsed: 0.152 s
% 5.07/1.15 % (554263)Peak memory usage: 13 MB
% 5.07/1.15 % (554263)Instructions burned: 194 (million)
% 5.07/1.15 % (554281)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=2658729383:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 5.07/1.15 % (554282)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=492331446:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 5.07/1.15 % (554284)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=4187106139:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 5.07/1.15 % (554285)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1401503921:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 5.07/1.15 % (554286)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=503718337:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 5.07/1.15 % (554285)Refutation not found, incomplete strategy
% 5.07/1.15 % (554285)------------------------------
% 5.07/1.15 % (554285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.15 % (554285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.15 % (554285)CaDiCaL version: 2.1.3
% 5.07/1.15 % (554285)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.15 % (554285)Time elapsed: 0.007 s
% 5.07/1.15 % (554285)Peak memory usage: 12 MB
% 5.07/1.15 % (554285)Instructions burned: 6 (million)
% 5.07/1.15 % (554285)------------------------------
% 5.07/1.15 % (554285)------------------------------
% 5.07/1.15 % (554286)Instruction limit reached!
% 5.07/1.15 % (554286)------------------------------
% 5.07/1.15 % (554286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.15 % (554286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.15 % (554286)CaDiCaL version: 2.1.3
% 5.07/1.15 % (554286)Termination reason: Instruction limit
% 5.07/1.15 % (554286)Termination phase: Saturation
% 5.07/1.15 % (554286)Time elapsed: 0.018 s
% 5.07/1.15 % (554286)Peak memory usage: 12 MB
% 5.07/1.15 % (554286)Instructions burned: 21 (million)
% 5.07/1.15 % (554284)Instruction limit reached!
% 5.07/1.15 % (554284)------------------------------
% 5.07/1.15 % (554284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.07/1.15 % (554284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.15 % (554284)CaDiCaL version: 2.1.3
% 5.07/1.15 % (554284)Termination reason: Instruction limit
% 5.07/1.15 % (554284)Termination phase: Saturation
% 5.07/1.15 % (554284)Time elapsed: 0.037 s
% 5.07/1.15 % (554284)Peak memory usage: 12 MB
% 5.07/1.15 % (554284)Instructions burned: 45 (million)
% 5.07/1.15 % (554292)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.07/1.15 % (554292)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3143876064:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 5.64/1.28 % (554203)Instruction limit reached!
% 5.64/1.28 % (554203)------------------------------
% 5.64/1.28 % (554203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.64/1.28 % (554203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.28 % (554203)CaDiCaL version: 2.1.3
% 5.64/1.28 % (554203)Termination reason: Instruction limit
% 5.64/1.28 % (554203)Termination phase: Saturation
% 5.64/1.28 % (554203)Time elapsed: 0.519 s
% 5.64/1.28 % (554203)Peak memory usage: 14 MB
% 5.64/1.28 % (554203)Instructions burned: 634 (million)
% 5.64/1.28 % (554293)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2993834580:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 5.64/1.28 % (554294)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=235512551:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.64/1.28 % (554293)Instruction limit reached!
% 5.64/1.28 % (554293)------------------------------
% 5.64/1.28 % (554293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.64/1.28 % (554293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.28 % (554293)CaDiCaL version: 2.1.3
% 5.64/1.28 % (554293)Termination reason: Instruction limit
% 5.64/1.28 % (554293)Termination phase: Saturation
% 5.64/1.28 % (554293)Time elapsed: 0.014 s
% 5.64/1.28 % (554293)Peak memory usage: 12 MB
% 5.64/1.28 % (554293)Instructions burned: 14 (million)
% 5.64/1.28 % (554297)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2564848921:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 5.64/1.28 % (554299)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=320738413:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 5.64/1.28 % (554294)Instruction limit reached!
% 5.64/1.28 % (554294)------------------------------
% 5.64/1.28 % (554294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.64/1.28 % (554294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.28 % (554294)CaDiCaL version: 2.1.3
% 5.64/1.28 % (554294)Termination reason: Instruction limit
% 5.64/1.28 % (554294)Termination phase: Saturation
% 5.64/1.28 % (554294)Time elapsed: 0.054 s
% 5.64/1.28 % (554294)Peak memory usage: 12 MB
% 5.64/1.28 % (554294)Instructions burned: 66 (million)
% 5.64/1.28 % (554299)Instruction limit reached!
% 5.64/1.28 % (554299)------------------------------
% 5.64/1.28 % (554299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.64/1.28 % (554299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.28 % (554299)CaDiCaL version: 2.1.3
% 5.64/1.28 % (554299)Termination reason: Instruction limit
% 5.64/1.28 % (554299)Termination phase: Saturation
% 5.64/1.28 % (554299)Time elapsed: 0.026 s
% 5.64/1.28 % (554299)Peak memory usage: 12 MB
% 5.64/1.28 % (554299)Instructions burned: 31 (million)
% 5.64/1.28 % (554297)Instruction limit reached!
% 5.64/1.28 % (554297)------------------------------
% 5.64/1.28 % (554297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.64/1.28 % (554297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.28 % (554297)CaDiCaL version: 2.1.3
% 5.64/1.28 % (554297)Termination reason: Instruction limit
% 5.64/1.28 % (554297)Termination phase: Saturation
% 5.64/1.28 % (554297)Time elapsed: 0.045 s
% 5.64/1.28 % (554297)Peak memory usage: 12 MB
% 5.64/1.28 % (554297)Instructions burned: 52 (million)
% 5.64/1.28 % (554302)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3294921252:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.64/1.28 % (554304)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1321467568:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 5.64/1.28 % (554303)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2830708517:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.64/1.28 % (554292)Instruction limit reached!
% 5.64/1.28 % (554292)------------------------------
% 5.64/1.28 % (554292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.64/1.28 % (554292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.50 % (554292)CaDiCaL version: 2.1.3
% 7.12/1.50 % (554292)Termination reason: Instruction limit
% 7.12/1.50 % (554292)Termination phase: Saturation
% 7.12/1.50 % (554292)Time elapsed: 0.171 s
% 7.12/1.50 % (554292)Peak memory usage: 12 MB
% 7.12/1.50 % (554292)Instructions burned: 200 (million)
% 7.12/1.50 % (554304)Instruction limit reached!
% 7.12/1.50 % (554304)------------------------------
% 7.12/1.50 % (554304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.50 % (554304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.50 % (554304)CaDiCaL version: 2.1.3
% 7.12/1.50 % (554304)Termination reason: Instruction limit
% 7.12/1.50 % (554304)Termination phase: Saturation
% 7.12/1.50 % (554304)Time elapsed: 0.054 s
% 7.12/1.50 % (554304)Peak memory usage: 12 MB
% 7.12/1.50 % (554304)Instructions burned: 67 (million)
% 7.12/1.50 % (554303)Instruction limit reached!
% 7.12/1.50 % (554303)------------------------------
% 7.12/1.50 % (554303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.50 % (554303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.50 % (554303)CaDiCaL version: 2.1.3
% 7.12/1.50 % (554303)Termination reason: Instruction limit
% 7.12/1.50 % (554303)Termination phase: Saturation
% 7.12/1.50 % (554303)Time elapsed: 0.034 s
% 7.12/1.50 % (554303)Peak memory usage: 12 MB
% 7.12/1.50 % (554303)Instructions burned: 34 (million)
% 7.12/1.50 % (554308)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 7.12/1.50 % (554281)Instruction limit reached!
% 7.12/1.50 % (554281)------------------------------
% 7.12/1.50 % (554281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.50 % (554281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.50 % (554281)CaDiCaL version: 2.1.3
% 7.12/1.50 % (554281)Termination reason: Instruction limit
% 7.12/1.50 % (554281)Termination phase: Saturation
% 7.12/1.50 % (554281)Time elapsed: 0.275 s
% 7.12/1.50 % (554281)Peak memory usage: 16 MB
% 7.12/1.50 % (554281)Instructions burned: 316 (million)
% 7.12/1.50 % (554308)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3731121738:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 7.12/1.50 % (554309)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3767120903:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 7.12/1.50 % (554261)Instruction limit reached!
% 7.12/1.50 % (554261)------------------------------
% 7.12/1.50 % (554261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.50 % (554261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.50 % (554261)CaDiCaL version: 2.1.3
% 7.12/1.50 % (554261)Termination reason: Instruction limit
% 7.12/1.50 % (554261)Termination phase: Saturation
% 7.12/1.50 % (554261)Time elapsed: 0.476 s
% 7.12/1.50 % (554261)Peak memory usage: 15 MB
% 7.12/1.50 % (554261)Instructions burned: 1241 (million)
% 7.12/1.50 % (554302)Instruction limit reached!
% 7.12/1.50 % (554302)------------------------------
% 7.12/1.50 % (554302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.50 % (554302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.50 % (554302)CaDiCaL version: 2.1.3
% 7.12/1.50 % (554302)Termination reason: Instruction limit
% 7.12/1.50 % (554302)Termination phase: Saturation
% 7.12/1.50 % (554302)Time elapsed: 0.119 s
% 7.12/1.50 % (554302)Peak memory usage: 12 MB
% 7.12/1.50 % (554302)Instructions burned: 138 (million)
% 7.12/1.50 % (554309)Refutation not found, incomplete strategy
% 7.12/1.50 % (554309)------------------------------
% 7.12/1.50 % (554309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.12/1.50 % (554309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/1.50 % (554309)CaDiCaL version: 2.1.3
% 7.12/1.50 % (554309)Termination reason: Refutation not found, incomplete strategy
% 7.12/1.50 % (554309)Time elapsed: 0.013 s
% 7.12/1.50 % (554309)Peak memory usage: 12 MB
% 7.12/1.50 % (554309)Instructions burned: 17 (million)
% 7.12/1.50 % (554309)------------------------------
% 7.12/1.50 % (554309)------------------------------
% 7.12/1.50 % (554310)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=231374515:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 7.12/1.50 % (554314)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2350864939:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 7.72/1.66 % (554312)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1694452300:i=427:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/427Mi)
% 7.72/1.66 % (554312)Refutation not found, incomplete strategy
% 7.72/1.66 % (554312)------------------------------
% 7.72/1.66 % (554312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.66 % (554312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.66 % (554312)CaDiCaL version: 2.1.3
% 7.72/1.66 % (554312)Termination reason: Refutation not found, incomplete strategy
% 7.72/1.66 % (554312)Time elapsed: 0.007 s
% 7.72/1.66 % (554312)Peak memory usage: 12 MB
% 7.72/1.66 % (554312)Instructions burned: 7 (million)
% 7.72/1.66 % (554315)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1482218704:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/515Mi)
% 7.72/1.66 % (554312)------------------------------
% 7.72/1.66 % (554312)------------------------------
% 7.72/1.66 % (554317)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1317383414:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 7.72/1.66 % (554317)Refutation not found, incomplete strategy
% 7.72/1.66 % (554317)------------------------------
% 7.72/1.66 % (554317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.66 % (554317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.66 % (554317)CaDiCaL version: 2.1.3
% 7.72/1.66 % (554317)Termination reason: Refutation not found, incomplete strategy
% 7.72/1.66 % (554317)Time elapsed: 0.018 s
% 7.72/1.66 % (554317)Peak memory usage: 12 MB
% 7.72/1.66 % (554317)Instructions burned: 21 (million)
% 7.72/1.66 % (554317)------------------------------
% 7.72/1.66 % (554317)------------------------------
% 7.72/1.66 % (554321)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3159062886:i=44:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/44Mi)
% 7.72/1.66 % (554310)Instruction limit reached!
% 7.72/1.66 % (554310)------------------------------
% 7.72/1.66 % (554310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.66 % (554310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.66 % (554310)CaDiCaL version: 2.1.3
% 7.72/1.66 % (554310)Termination reason: Instruction limit
% 7.72/1.66 % (554310)Termination phase: Saturation
% 7.72/1.66 % (554310)Time elapsed: 0.081 s
% 7.72/1.66 % (554310)Peak memory usage: 12 MB
% 7.72/1.66 % (554310)Instructions burned: 97 (million)
% 7.72/1.66 % (554323)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=765715474:s2a=on:i=571:nm=16:rtra=on_2991 on theBenchmark for (2991ds/571Mi)
% 7.72/1.66 % (554321)Instruction limit reached!
% 7.72/1.66 % (554321)------------------------------
% 7.72/1.66 % (554321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.66 % (554321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.66 % (554321)CaDiCaL version: 2.1.3
% 7.72/1.66 % (554321)Termination reason: Instruction limit
% 7.72/1.66 % (554321)Termination phase: Saturation
% 7.72/1.66 % (554321)Time elapsed: 0.037 s
% 7.72/1.66 % (554321)Peak memory usage: 12 MB
% 7.72/1.66 % (554321)Instructions burned: 44 (million)
% 7.72/1.66 % (554323)Refutation not found, incomplete strategy
% 7.72/1.66 % (554323)------------------------------
% 7.72/1.66 % (554323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.66 % (554323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.66 % (554323)CaDiCaL version: 2.1.3
% 7.72/1.66 % (554323)Termination reason: Refutation not found, incomplete strategy
% 7.72/1.66 % (554323)Time elapsed: 0.008 s
% 7.72/1.66 % (554323)Peak memory usage: 12 MB
% 7.72/1.66 % (554323)Instructions burned: 7 (million)
% 7.72/1.66 % (554323)------------------------------
% 7.72/1.66 % (554323)------------------------------
% 7.72/1.66 % (554325)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3916858238:i=450:rtra=on:ixr=off:ntd=on_2991 on theBenchmark for (2991ds/450Mi)
% 7.72/1.66 % (554308)Instruction limit reached!
% 7.72/1.66 % (554308)------------------------------
% 7.72/1.66 % (554308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.84 % (554308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.84 % (554308)CaDiCaL version: 2.1.3
% 8.98/1.84 % (554308)Termination reason: Instruction limit
% 8.98/1.84 % (554308)Termination phase: Saturation
% 8.98/1.84 % (554308)Time elapsed: 0.144 s
% 8.98/1.84 % (554308)Peak memory usage: 12 MB
% 8.98/1.84 % (554308)Instructions burned: 180 (million)
% 8.98/1.84 % (554327)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2684426154:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/95Mi)
% 8.98/1.84 % (554328)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=5832438:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2991 on theBenchmark for (2991ds/65Mi)
% 8.98/1.84 % (554330)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=3112054408:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2990 on theBenchmark for (2990ds/105Mi)
% 8.98/1.84 % (554328)Instruction limit reached!
% 8.98/1.84 % (554328)------------------------------
% 8.98/1.84 % (554328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.84 % (554328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.84 % (554328)CaDiCaL version: 2.1.3
% 8.98/1.84 % (554328)Termination reason: Instruction limit
% 8.98/1.84 % (554328)Termination phase: Saturation
% 8.98/1.84 % (554328)Time elapsed: 0.065 s
% 8.98/1.84 % (554328)Peak memory usage: 13 MB
% 8.98/1.84 % (554328)Instructions burned: 65 (million)
% 8.98/1.84 % (554327)Instruction limit reached!
% 8.98/1.84 % (554327)------------------------------
% 8.98/1.84 % (554327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.84 % (554327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.84 % (554327)CaDiCaL version: 2.1.3
% 8.98/1.84 % (554327)Termination reason: Instruction limit
% 8.98/1.84 % (554327)Termination phase: Saturation
% 8.98/1.84 % (554327)Time elapsed: 0.078 s
% 8.98/1.84 % (554327)Peak memory usage: 12 MB
% 8.98/1.84 % (554327)Instructions burned: 95 (million)
% 8.98/1.84 % (554334)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=3741495299:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2990 on theBenchmark for (2990ds/5755Mi)
% 8.98/1.84 % (554335)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1446833268:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/375Mi)
% 8.98/1.84 % (554330)Instruction limit reached!
% 8.98/1.84 % (554330)------------------------------
% 8.98/1.84 % (554330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.84 % (554330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.84 % (554330)CaDiCaL version: 2.1.3
% 8.98/1.84 % (554330)Termination reason: Instruction limit
% 8.98/1.84 % (554330)Termination phase: Saturation
% 8.98/1.84 % (554330)Time elapsed: 0.091 s
% 8.98/1.84 % (554330)Peak memory usage: 13 MB
% 8.98/1.84 % (554330)Instructions burned: 106 (million)
% 8.98/1.84 % (554338)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2389988803:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/495Mi)
% 8.98/1.84 % (554314)Instruction limit reached!
% 8.98/1.84 % (554314)------------------------------
% 8.98/1.84 % (554314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.84 % (554314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.84 % (554314)CaDiCaL version: 2.1.3
% 8.98/1.84 % (554314)Termination reason: Instruction limit
% 8.98/1.84 % (554314)Termination phase: Saturation
% 8.98/1.84 % (554314)Time elapsed: 0.316 s
% 8.98/1.84 % (554314)Peak memory usage: 12 MB
% 8.98/1.84 % (554314)Instructions burned: 875 (million)
% 8.98/1.84 % (554340)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3230412054:cond=on:i=34:hud=10:nm=10:rtra=on_2988 on theBenchmark for (2988ds/34Mi)
% 8.98/1.84 % (554340)Instruction limit reached!
% 8.98/1.84 % (554340)------------------------------
% 8.98/1.84 % (554340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/2.03 % (554340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.03 % (554340)CaDiCaL version: 2.1.3
% 9.55/2.03 % (554340)Termination reason: Instruction limit
% 9.55/2.03 % (554340)Termination phase: Saturation
% 9.55/2.03 % (554340)Time elapsed: 0.015 s
% 9.55/2.03 % (554340)Peak memory usage: 12 MB
% 9.55/2.03 % (554340)Instructions burned: 34 (million)
% 9.55/2.03 % (554342)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3277871874:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/91Mi)
% 9.55/2.03 % (554315)Instruction limit reached!
% 9.55/2.03 % (554315)------------------------------
% 9.55/2.03 % (554315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/2.03 % (554315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.03 % (554315)CaDiCaL version: 2.1.3
% 9.55/2.03 % (554315)Termination reason: Instruction limit
% 9.55/2.03 % (554315)Termination phase: Saturation
% 9.55/2.03 % (554315)Time elapsed: 0.413 s
% 9.55/2.03 % (554315)Peak memory usage: 13 MB
% 9.55/2.03 % (554315)Instructions burned: 516 (million)
% 9.55/2.03 % (554282)Instruction limit reached!
% 9.55/2.03 % (554282)------------------------------
% 9.55/2.03 % (554282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/2.03 % (554282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.03 % (554282)CaDiCaL version: 2.1.3
% 9.55/2.03 % (554282)Termination reason: Instruction limit
% 9.55/2.03 % (554282)Termination phase: Saturation
% 9.55/2.03 % (554282)Time elapsed: 0.742 s
% 9.55/2.03 % (554282)Peak memory usage: 15 MB
% 9.55/2.03 % (554282)Instructions burned: 854 (million)
% 9.55/2.03 % (554342)Instruction limit reached!
% 9.55/2.03 % (554342)------------------------------
% 9.55/2.03 % (554342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/2.03 % (554342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.03 % (554342)CaDiCaL version: 2.1.3
% 9.55/2.03 % (554342)Termination reason: Instruction limit
% 9.55/2.03 % (554342)Termination phase: Saturation
% 9.55/2.03 % (554342)Time elapsed: 0.070 s
% 9.55/2.03 % (554342)Peak memory usage: 13 MB
% 9.55/2.03 % (554342)Instructions burned: 92 (million)
% 9.55/2.03 % (554344)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1432669185:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2987 on theBenchmark for (2987ds/66Mi)
% 9.55/2.03 % (554344)Refutation not found, incomplete strategy
% 9.55/2.03 % (554344)------------------------------
% 9.55/2.03 % (554344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/2.03 % (554344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.03 % (554344)CaDiCaL version: 2.1.3
% 9.55/2.03 % (554344)Termination reason: Refutation not found, incomplete strategy
% 9.55/2.03 % (554344)Time elapsed: 0.007 s
% 9.55/2.03 % (554344)Peak memory usage: 12 MB
% 9.55/2.03 % (554344)Instructions burned: 7 (million)
% 9.55/2.03 % (554344)------------------------------
% 9.55/2.03 % (554344)------------------------------
% 9.55/2.03 % (554345)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3299709288:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2987 on theBenchmark for (2987ds/22Mi)
% 9.55/2.03 % (554325)Instruction limit reached!
% 9.55/2.03 % (554325)------------------------------
% 9.55/2.03 % (554325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/2.03 % (554325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.03 % (554325)CaDiCaL version: 2.1.3
% 9.55/2.03 % (554325)Termination reason: Instruction limit
% 9.55/2.03 % (554325)Termination phase: Saturation
% 9.55/2.03 % (554325)Time elapsed: 0.372 s
% 9.55/2.03 % (554325)Peak memory usage: 13 MB
% 9.55/2.03 % (554325)Instructions burned: 450 (million)
% 9.55/2.03 % (554345)Instruction limit reached!
% 9.55/2.03 % (554345)------------------------------
% 9.55/2.03 % (554345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/2.03 % (554345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/2.03 % (554345)CaDiCaL version: 2.1.3
% 9.55/2.03 % (554345)Termination reason: Instruction limit
% 9.55/2.03 % (554345)Termination phase: Saturation
% 9.55/2.03 % (554345)Time elapsed: 0.019 s
% 9.55/2.03 % (554345)Peak memory usage: 12 MB
% 9.55/2.03 % (554345)Instructions burned: 22 (million)
% 9.55/2.03 % (554347)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2294179934:i=338:bd=all:ins=4:rtra=on_2987 on theBenchmark for (2987ds/338Mi)
% 12.66/2.21 % (554348)lrs+10_1_sil=128000:si=on:urr=on:random_seed=188244489:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/28Mi)
% 12.66/2.21 % (554350)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 12.66/2.21 % (554350)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2735838181:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/137Mi)
% 12.66/2.21 % (554348)Instruction limit reached!
% 12.66/2.21 % (554348)------------------------------
% 12.66/2.21 % (554348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/2.21 % (554348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.21 % (554348)CaDiCaL version: 2.1.3
% 12.66/2.21 % (554348)Termination reason: Instruction limit
% 12.66/2.21 % (554348)Termination phase: Saturation
% 12.66/2.21 % (554348)Time elapsed: 0.024 s
% 12.66/2.21 % (554348)Peak memory usage: 12 MB
% 12.66/2.21 % (554348)Instructions burned: 28 (million)
% 12.66/2.21 % (554351)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=3781742248:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/340Mi)
% 12.66/2.21 % (554335)Instruction limit reached!
% 12.66/2.21 % (554335)------------------------------
% 12.66/2.21 % (554335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/2.21 % (554335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.21 % (554335)CaDiCaL version: 2.1.3
% 12.66/2.21 % (554335)Termination reason: Instruction limit
% 12.66/2.21 % (554335)Termination phase: Saturation
% 12.66/2.21 % (554335)Time elapsed: 0.329 s
% 12.66/2.21 % (554335)Peak memory usage: 13 MB
% 12.66/2.21 % (554335)Instructions burned: 375 (million)
% 12.66/2.21 % (554356)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1430241291:i=227:sd=1:bd=all:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/227Mi)
% 12.66/2.21 % (554356)Refutation not found, incomplete strategy
% 12.66/2.21 % (554356)------------------------------
% 12.66/2.21 % (554356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/2.21 % (554356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.21 % (554356)CaDiCaL version: 2.1.3
% 12.66/2.21 % (554356)Termination reason: Refutation not found, incomplete strategy
% 12.66/2.21 % (554356)Time elapsed: 0.007 s
% 12.66/2.21 % (554356)Peak memory usage: 12 MB
% 12.66/2.21 % (554356)Instructions burned: 6 (million)
% 12.66/2.21 % (554356)------------------------------
% 12.66/2.21 % (554356)------------------------------
% 12.66/2.21 % (554357)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 12.66/2.21 % (554357)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1833431212:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/373Mi)
% 12.66/2.21 % (554359)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3134895094:i=116:ep=RSTC:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/116Mi)
% 12.66/2.21 % (554350)Instruction limit reached!
% 12.66/2.21 % (554350)------------------------------
% 12.66/2.21 % (554350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/2.21 % (554350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.21 % (554350)CaDiCaL version: 2.1.3
% 12.66/2.21 % (554350)Termination reason: Instruction limit
% 12.66/2.21 % (554350)Termination phase: Saturation
% 12.66/2.21 % (554350)Time elapsed: 0.117 s
% 12.66/2.21 % (554350)Peak memory usage: 13 MB
% 12.66/2.21 % (554350)Instructions burned: 138 (million)
% 12.66/2.21 % (554362)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1681507579:i=575:rtra=on_2985 on theBenchmark for (2985ds/575Mi)
% 12.66/2.21 % (554338)Instruction limit reached!
% 12.66/2.21 % (554338)------------------------------
% 12.66/2.21 % (554338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.66/2.21 % (554338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.05/2.39 % (554338)CaDiCaL version: 2.1.3
% 13.05/2.39 % (554338)Termination reason: Instruction limit
% 13.05/2.39 % (554338)Termination phase: Saturation
% 13.05/2.39 % (554338)Time elapsed: 0.397 s
% 13.05/2.39 % (554338)Peak memory usage: 14 MB
% 13.05/2.39 % (554338)Instructions burned: 495 (million)
% 13.05/2.39 % (554359)Instruction limit reached!
% 13.05/2.39 % (554359)------------------------------
% 13.05/2.39 % (554359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.05/2.39 % (554359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.05/2.39 % (554359)CaDiCaL version: 2.1.3
% 13.05/2.39 % (554359)Termination reason: Instruction limit
% 13.05/2.39 % (554359)Termination phase: Saturation
% 13.05/2.39 % (554359)Time elapsed: 0.096 s
% 13.05/2.39 % (554359)Peak memory usage: 12 MB
% 13.05/2.39 % (554359)Instructions burned: 116 (million)
% 13.05/2.39 % (554364)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1370673367:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2985 on theBenchmark for (2985ds/270Mi)
% 13.05/2.39 % (554347)Instruction limit reached!
% 13.05/2.39 % (554347)------------------------------
% 13.05/2.39 % (554347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.05/2.39 % (554347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.05/2.39 % (554347)CaDiCaL version: 2.1.3
% 13.05/2.39 % (554347)Termination reason: Instruction limit
% 13.05/2.39 % (554347)Termination phase: Saturation
% 13.05/2.39 % (554347)Time elapsed: 0.243 s
% 13.05/2.39 % (554347)Peak memory usage: 16 MB
% 13.05/2.39 % (554347)Instructions burned: 339 (million)
% 13.05/2.39 % (554365)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=1467870475:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2984 on theBenchmark for (2984ds/9840Mi)
% 13.05/2.39 % (554368)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=4241669604:i=421:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/421Mi)
% 13.05/2.39 % (554368)Refutation not found, incomplete strategy
% 13.05/2.39 % (554368)------------------------------
% 13.05/2.39 % (554368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.05/2.39 % (554368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.05/2.39 % (554368)CaDiCaL version: 2.1.3
% 13.05/2.39 % (554368)Termination reason: Refutation not found, incomplete strategy
% 13.05/2.39 % (554368)Time elapsed: 0.008 s
% 13.05/2.39 % (554368)Peak memory usage: 12 MB
% 13.05/2.39 % (554368)Instructions burned: 7 (million)
% 13.05/2.39 % (554368)------------------------------
% 13.05/2.39 % (554368)------------------------------
% 13.05/2.39 % (554351)Instruction limit reached!
% 13.05/2.39 % (554351)------------------------------
% 13.05/2.39 % (554351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.05/2.39 % (554351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.05/2.39 % (554351)CaDiCaL version: 2.1.3
% 13.05/2.39 % (554351)Termination reason: Instruction limit
% 13.05/2.39 % (554351)Termination phase: Saturation
% 13.05/2.39 % (554351)Time elapsed: 0.286 s
% 13.05/2.39 % (554351)Peak memory usage: 14 MB
% 13.05/2.39 % (554351)Instructions burned: 340 (million)
% 13.05/2.39 % (554370)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 13.05/2.39 % (554370)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2115791101:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/270Mi)
% 13.05/2.39 % (554371)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1520393623:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/31Mi)
% 13.05/2.39 % (554370)Refutation not found, incomplete strategy
% 13.05/2.39 % (554370)------------------------------
% 13.05/2.39 % (554370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.05/2.39 % (554370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.05/2.39 % (554370)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554370)Termination reason: Refutation not found, incomplete strategy
% 13.39/2.61 % (554370)Time elapsed: 0.024 s
% 13.39/2.61 % (554370)Peak memory usage: 12 MB
% 13.39/2.61 % (554370)Instructions burned: 16 (million)
% 13.39/2.61 % (554370)------------------------------
% 13.39/2.61 % (554370)------------------------------
% 13.39/2.61 % (554371)Instruction limit reached!
% 13.39/2.61 % (554371)------------------------------
% 13.39/2.61 % (554371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554371)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554371)Termination reason: Instruction limit
% 13.39/2.61 % (554371)Termination phase: Saturation
% 13.39/2.61 % (554371)Time elapsed: 0.025 s
% 13.39/2.61 % (554371)Peak memory usage: 12 MB
% 13.39/2.61 % (554371)Instructions burned: 31 (million)
% 13.39/2.61 % (554374)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 13.39/2.61 % (554374)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
% 13.39/2.61 % (554374)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=1094381171:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2983 on theBenchmark for (2983ds/1440Mi)
% 13.39/2.61 % (554357)Instruction limit reached!
% 13.39/2.61 % (554357)------------------------------
% 13.39/2.61 % (554357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554357)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554357)Termination reason: Instruction limit
% 13.39/2.61 % (554357)Termination phase: Saturation
% 13.39/2.61 % (554357)Time elapsed: 0.299 s
% 13.39/2.61 % (554357)Peak memory usage: 12 MB
% 13.39/2.61 % (554357)Instructions burned: 373 (million)
% 13.39/2.61 % (554375)dis+10_2_sil=128000:si=on:random_seed=3822178809:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2983 on theBenchmark for (2983ds/339Mi)
% 13.39/2.61 % (554377)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=87577741:i=111:add=on:fgj=on:rtra=on:fdi=1024_2983 on theBenchmark for (2983ds/111Mi)
% 13.39/2.61 % (554364)Instruction limit reached!
% 13.39/2.61 % (554364)------------------------------
% 13.39/2.61 % (554364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554364)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554364)Termination reason: Instruction limit
% 13.39/2.61 % (554364)Termination phase: Saturation
% 13.39/2.61 % (554364)Time elapsed: 0.223 s
% 13.39/2.61 % (554364)Peak memory usage: 13 MB
% 13.39/2.61 % (554364)Instructions burned: 271 (million)
% 13.39/2.61 % (554380)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=1459844501:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/122Mi)
% 13.39/2.61 % (554380)Refutation not found, incomplete strategy
% 13.39/2.61 % (554380)------------------------------
% 13.39/2.61 % (554380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554380)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554380)Termination reason: Refutation not found, incomplete strategy
% 13.39/2.61 % (554380)Time elapsed: 0.014 s
% 13.39/2.61 % (554380)Peak memory usage: 12 MB
% 13.39/2.61 % (554380)Instructions burned: 15 (million)
% 13.39/2.61 % (554380)------------------------------
% 13.39/2.61 % (554380)------------------------------
% 13.39/2.61 % (554377)Instruction limit reached!
% 13.39/2.61 % (554377)------------------------------
% 13.39/2.61 % (554377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554377)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554377)Termination reason: Instruction limit
% 13.39/2.61 % (554377)Termination phase: Saturation
% 13.39/2.61 % (554377)Time elapsed: 0.092 s
% 13.39/2.61 % (554377)Peak memory usage: 12 MB
% 13.39/2.61 % (554377)Instructions burned: 112 (million)
% 13.39/2.61 % (554382)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=680957585:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/136Mi)
% 13.39/2.61 % (554383)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2764901829:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/232Mi)
% 13.39/2.61 % (554382)Refutation not found, incomplete strategy
% 13.39/2.61 % (554382)------------------------------
% 13.39/2.61 % (554382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554382)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554382)Termination reason: Refutation not found, incomplete strategy
% 13.39/2.61 % (554382)Time elapsed: 0.035 s
% 13.39/2.61 % (554382)Peak memory usage: 12 MB
% 13.39/2.61 % (554382)Instructions burned: 39 (million)
% 13.39/2.61 % (554382)------------------------------
% 13.39/2.61 % (554382)------------------------------
% 13.39/2.61 % (554386)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=2441127840:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2981 on theBenchmark for (2981ds/1254Mi)
% 13.39/2.61 % (554362)Instruction limit reached!
% 13.39/2.61 % (554362)------------------------------
% 13.39/2.61 % (554362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554362)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554362)Termination reason: Instruction limit
% 13.39/2.61 % (554362)Termination phase: Saturation
% 13.39/2.61 % (554362)Time elapsed: 0.470 s
% 13.39/2.61 % (554362)Peak memory usage: 12 MB
% 13.39/2.61 % (554362)Instructions burned: 576 (million)
% 13.39/2.61 % (554386)Refutation not found, incomplete strategy
% 13.39/2.61 % (554386)------------------------------
% 13.39/2.61 % (554386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554386)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554386)Termination reason: Refutation not found, incomplete strategy
% 13.39/2.61 % (554386)Time elapsed: 0.044 s
% 13.39/2.61 % (554386)Peak memory usage: 12 MB
% 13.39/2.61 % (554386)Instructions burned: 47 (million)
% 13.39/2.61 % (554375)Instruction limit reached!
% 13.39/2.61 % (554375)------------------------------
% 13.39/2.61 % (554375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554375)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554375)Termination reason: Instruction limit
% 13.39/2.61 % (554375)Termination phase: Saturation
% 13.39/2.61 % (554375)Time elapsed: 0.249 s
% 13.39/2.61 % (554375)Peak memory usage: 13 MB
% 13.39/2.61 % (554375)Instructions burned: 339 (million)
% 13.39/2.61 % (554386)------------------------------
% 13.39/2.61 % (554386)------------------------------
% 13.39/2.61 % (554388)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.39/2.61 % (554388)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=1388806292:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2980 on theBenchmark for (2980ds/281Mi)
% 13.39/2.61 % (554389)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=585163138:i=619:add=on:rtra=on_2980 on theBenchmark for (2980ds/619Mi)
% 13.39/2.61 % (554390)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=3903510060:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/865Mi)
% 13.39/2.61 % (554389)Refutation not found, incomplete strategy
% 13.39/2.61 % (554389)------------------------------
% 13.39/2.61 % (554389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554389)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554389)Termination reason: Refutation not found, incomplete strategy
% 13.39/2.61 % (554389)Time elapsed: 0.024 s
% 13.39/2.61 % (554389)Peak memory usage: 12 MB
% 13.39/2.61 % (554389)Instructions burned: 26 (million)
% 13.39/2.61 % (554389)------------------------------
% 13.39/2.61 % (554389)------------------------------
% 13.39/2.61 % (554383)Instruction limit reached!
% 13.39/2.61 % (554383)------------------------------
% 13.39/2.61 % (554383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554383)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554383)Termination reason: Instruction limit
% 13.39/2.61 % (554383)Termination phase: Saturation
% 13.39/2.61 % (554383)Time elapsed: 0.199 s
% 13.39/2.61 % (554383)Peak memory usage: 13 MB
% 13.39/2.61 % (554383)Instructions burned: 232 (million)
% 13.39/2.61 % (554394)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3040373663:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/212Mi)
% 13.39/2.61 % (554395)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=4290152130:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/130Mi)
% 13.39/2.61 % (554395)Instruction limit reached!
% 13.39/2.61 % (554395)------------------------------
% 13.39/2.61 % (554395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554395)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554395)Termination reason: Instruction limit
% 13.39/2.61 % (554395)Termination phase: Saturation
% 13.39/2.61 % (554395)Time elapsed: 0.104 s
% 13.39/2.61 % (554395)Peak memory usage: 12 MB
% 13.39/2.61 % (554395)Instructions burned: 130 (million)
% 13.39/2.61 % (554388)Instruction limit reached!
% 13.39/2.61 % (554388)------------------------------
% 13.39/2.61 % (554388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.61 % (554388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.61 % (554388)CaDiCaL version: 2.1.3
% 13.39/2.61 % (554388)Termination reason: Instruction limit
% 13.39/2.61 % (554388)Termination phase: Saturation
% 13.39/2.61 % (554388)Time elapsed: 0.243 s
% 13.39/2.61 % (554388)Peak memory usage: 13 MB
% 13.39/2.61 % (554388)Instructions burned: 281 (million)
% 13.39/2.61 % (554374) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-554195-554374"...
% 13.39/2.61 % (554374)...printing done.
% 13.39/2.61 % (554374)Refutation found. Thanks to Tanya!
% 13.39/2.61 % SZS status Theorem for theBenchmark
% 13.39/2.61 % SZS output start Proof for theBenchmark
% 13.39/2.61 thf(type_def_5, type, mworld: $tType).
% 13.39/2.61 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 13.39/2.61 thf(func_def_0, type, mrel: (mworld > mworld > $o)).
% 13.39/2.61 thf(func_def_1, type, mactual: mworld).
% 13.39/2.61 thf(func_def_2, type, mlocal: ((mworld > $o) > $o)).
% 13.39/2.61 thf(func_def_4, type, mnot: ((mworld > $o) > mworld > $o)).
% 13.39/2.61 thf(func_def_5, type, mand: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 13.39/2.61 thf(func_def_6, type, mor: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 13.39/2.61 thf(func_def_7, type, mimplies: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 13.39/2.61 thf(func_def_8, type, mequiv: ((mworld > $o) > (mworld > $o) > mworld > $o)).
% 13.39/2.61 thf(func_def_9, type, mbox: ((mworld > $o) > mworld > $o)).
% 13.39/2.61 thf(func_def_10, type, mdia: ((mworld > $o) > mworld > $o)).
% 13.39/2.61 thf(func_def_11, type, eiw_di: ($i > mworld > $o)).
% 13.39/2.61 thf(func_def_12, type, mforall_di: (($i > mworld > $o) > mworld > $o)).
% 13.39/2.61 thf(func_def_13, type, mexists_di: (($i > mworld > $o) > mworld > $o)).
% 13.39/2.61 thf(func_def_14, type, intersect: ($i > $i > mworld > $o)).
% 13.39/2.61 thf(func_def_15, type, member: ($i > $i > mworld > $o)).
% 13.39/2.61 thf(func_def_16, type, db0: !>[X0: $tType]:(X0)).
% 13.39/2.61 thf(func_def_17, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 13.39/2.61 thf(func_def_18, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 13.39/2.61 thf(func_def_19, type, vIMP: ($o > $o > $o)).
% 13.39/2.61 thf(func_def_20, type, db1: !>[X0: $tType]:(X0)).
% 13.39/2.61 thf(func_def_21, type, db2: !>[X0: $tType]:(X0)).
% 13.39/2.61 thf(func_def_22, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 13.39/2.61 thf(func_def_23, type, vAND: ($o > $o > $o)).
% 13.39/2.61 thf(func_def_24, type, vIFF: ($o > $o > $o)).
% 13.39/2.61 thf(func_def_27, type, vNOT: ($o > $o)).
% 13.39/2.61 thf(func_def_28, type, vOR: ($o > $o > $o)).
% 13.39/2.61 thf(func_def_29, type, sK0: (mworld > $i)).
% 13.39/2.61 thf(func_def_30, type, sF1: $o).
% 13.39/2.61 thf(func_def_31, type, db3: !>[X0: $tType]:(X0)).
% 13.39/2.61 thf(func_def_32, type, db4: !>[X0: $tType]:(X0)).
% 13.39/2.61 thf(func_def_33, type, db5: !>[X0: $tType]:(X0)).
% 13.39/2.61 thf(func_def_34, type, db6: !>[X0: $tType]:(X0)).
% 13.39/2.61 thf(func_def_35, type, sK2: ($i > mworld > $i > mworld)).
% 13.39/2.61 thf(func_def_36, type, sK3: ($i > mworld > $i > $i)).
% 13.39/2.61 thf(func_def_37, type, sK4: (mworld > $i > $i > mworld)).
% 13.39/2.61 thf(func_def_38, type, sK5: (mworld > $i > $i > mworld)).
% 13.39/2.61 thf(func_def_39, type, db7: !>[X0: $tType]:(X0)).
% 13.39/2.61 thf(func_def_40, type, sK6: mworld).
% 13.39/2.61 thf(func_def_42, type, sK8: mworld).
% 13.39/2.61 thf(func_def_44, type, sK10: mworld).
% 13.39/2.61 thf(func_def_46, type, sK12: mworld).
% 13.39/2.61 thf(func_def_47, type, sK13: mworld).
% 13.39/2.61 thf(func_def_48, type, sK14: (mworld > $i > $i > mworld)).
% 13.39/2.61 thf(func_def_49, type, sK15: ($i > mworld > $i > mworld)).
% 13.39/2.61 thf(func_def_50, type, sK16: ($i > mworld > $i > mworld)).
% 13.39/2.61 thf(f1,axiom,(
% 13.39/2.61 (mlocal = (^[X0 : (mworld > $o)] : ((X0 @ mactual))))),
% 13.39/2.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def)).
% 13.39/2.61 thf(f3,axiom,(
% 13.39/2.61 ((^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 13.39/2.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def)).
% 13.39/2.61 thf(f5,axiom,(
% 13.39/2.61 (mimplies = (^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 13.39/2.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def)).
% 13.39/2.61 thf(f7,axiom,(
% 13.39/2.61 ((^[X0 : (mworld > $o), X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 13.39/2.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def)).
% 13.39/2.61 thf(f9,axiom,(
% 13.39/2.61 ! [X0 : mworld] : (mrel @ X0 @ X0)),
% 13.39/2.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive)).
% 13.39/2.61 thf(f10,axiom,(
% 13.39/2.61 ! [X1 : mworld,X2 : mworld,X0 : mworld] : (((mrel @ X0 @ X2) & (mrel @ X0 @ X1)) => (mrel @ X2 @ X1))),
% 13.39/2.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_euclidean)).
% 13.39/2.61 thf(f12,axiom,(
% 13.39/2.61 ! [X1 : mworld,X2 : $i,X0 : mworld] : (((eiw_di @ X2 @ X0) & (mrel @ X0 @ X1)) => (eiw_di @ X2 @ X1))),
% 13.39/2.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_cumul)).
% 13.39/2.61 thf(f13,axiom,(
% 13.39/2.61 ((^[X0 : ($i > mworld > $o), X1 : mworld] : (! [X2 : $i] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_di)),
% 13.39/2.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def)).
% 13.39/2.61 thf(f14,axiom,(
% 13.39/2.61 ((^[X0 : ($i > mworld > $o), X1 : mworld] : (? [X2 : $i] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))) = mexists_di)),
% 13.39/2.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def)).
% 13.39/2.61 thf(f15,axiom,(
% 13.39/2.61 (mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : ((mbox @ (mforall_di @ (^[X1 : $i] : ((mand @ (mbox @ (mimplies @ (mbox @ (intersect @ X0 @ X1)) @ (mexists_di @ (^[X2 : $i] : ((mand @ (mbox @ (member @ X2 @ X0)) @ (mbox @ (member @ X2 @ X1)))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[X2 : $i] : ((mand @ (mbox @ (member @ X2 @ X0)) @ (mbox @ (member @ X2 @ X1)))))) @ (mbox @ (intersect @ X0 @ X1))))))))))))))),
% 13.39/2.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn)).
% 13.39/2.61 thf(f17,conjecture,(
% 13.39/2.61 (mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : ((mbox @ (mforall_di @ (^[X1 : $i] : ((mbox @ (mforall_di @ (^[X2 : $i] : ((mbox @ (mimplies @ (mand @ (mbox @ (member @ X0 @ X1)) @ (mbox @ (member @ X0 @ X2))) @ (mbox @ (intersect @ X1 @ X2)))))))))))))))))),
% 13.39/2.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th13)).
% 13.39/2.61 thf(f18,negated_conjecture,(
% 13.39/2.61 ~(mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : ((mbox @ (mforall_di @ (^[X1 : $i] : ((mbox @ (mforall_di @ (^[X2 : $i] : ((mbox @ (mimplies @ (mand @ (mbox @ (member @ X0 @ X1)) @ (mbox @ (member @ X0 @ X2))) @ (mbox @ (intersect @ X1 @ X2)))))))))))))))))),
% 13.39/2.61 inference(negated_conjecture,[status(cth)],[f17])).
% 13.39/2.61 thf(f19,plain,(
% 13.39/2.61 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 13.39/2.61 inference(fool_elimination,[],[f1])).
% 13.39/2.61 thf(f20,plain,(
% 13.39/2.61 ((^[X0 : (mworld > $o), X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
% 13.39/2.61 inference(rectify,[],[f7])).
% 13.39/2.61 thf(f21,plain,(
% 13.39/2.61 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 13.39/2.61 inference(fool_elimination,[],[f20])).
% 13.39/2.61 thf(f24,plain,(
% 13.39/2.61 ((^[X0 : ($i > mworld > $o), X1 : mworld] : (? [X2 : $i] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))) = mexists_di)),
% 13.39/2.61 inference(rectify,[],[f14])).
% 13.39/2.61 thf(f25,plain,(
% 13.39/2.61 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 13.39/2.61 inference(fool_elimination,[],[f24])).
% 13.39/2.61 thf(f28,plain,(
% 13.39/2.61 (mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : ((mbox @ (mforall_di @ (^[X1 : $i] : ((mand @ (mbox @ (mimplies @ (mbox @ (intersect @ X0 @ X1)) @ (mexists_di @ (^[X2 : $i] : ((mand @ (mbox @ (member @ X2 @ X0)) @ (mbox @ (member @ X2 @ X1)))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[X3 : $i] : ((mand @ (mbox @ (member @ X3 @ X0)) @ (mbox @ (member @ X3 @ X1)))))) @ (mbox @ (intersect @ X0 @ X1))))))))))))))),
% 13.39/2.61 inference(rectify,[],[f15])).
% 13.39/2.61 thf(f29,plain,(
% 13.39/2.61 (((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mbox @ (mforall_di @ (^[Y1 : $i]: (mand @ (mbox @ (mimplies @ (mbox @ (intersect @ Y0 @ Y1)) @ (mexists_di @ (^[Y2 : $i]: (mand @ (mbox @ (member @ Y2 @ Y0)) @ (mbox @ (member @ Y2 @ Y1))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[Y2 : $i]: (mand @ (mbox @ (member @ Y2 @ Y0)) @ (mbox @ (member @ Y2 @ Y1))))) @ (mbox @ (intersect @ Y0 @ Y1))))))))))))) = $true)),
% 13.39/2.61 inference(fool_elimination,[],[f28])).
% 13.39/2.61 thf(f34,plain,(
% 13.39/2.61 ((^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 13.39/2.61 inference(rectify,[],[f3])).
% 13.39/2.61 thf(f35,plain,(
% 13.39/2.61 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 13.39/2.61 inference(fool_elimination,[],[f34])).
% 13.39/2.61 thf(f36,plain,(
% 13.39/2.61 ~(mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : ((mbox @ (mforall_di @ (^[X1 : $i] : ((mbox @ (mforall_di @ (^[X2 : $i] : ((mbox @ (mimplies @ (mand @ (mbox @ (member @ X0 @ X1)) @ (mbox @ (member @ X0 @ X2))) @ (mbox @ (intersect @ X1 @ X2)))))))))))))))))),
% 13.39/2.61 inference(rectify,[],[f18])).
% 13.39/2.61 thf(f37,plain,(
% 13.39/2.61 ~ ($true = ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mbox @ (mforall_di @ (^[Y1 : $i]: (mbox @ (mforall_di @ (^[Y2 : $i]: (mbox @ (mimplies @ (mand @ (mbox @ (member @ Y0 @ Y1)) @ (mbox @ (member @ Y0 @ Y2))) @ (mbox @ (intersect @ Y1 @ Y2))))))))))))))))),
% 13.39/2.61 inference(fool_elimination,[],[f36])).
% 13.39/2.61 thf(f38,plain,(
% 13.39/2.61 ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ X2 @ X1) & (mrel @ X2 @ X0)) => (mrel @ X1 @ X0))),
% 13.39/2.61 inference(rectify,[],[f10])).
% 13.39/2.61 thf(f39,plain,(
% 13.39/2.61 ! [X1 : mworld,X0 : mworld,X2 : mworld] : (((((mrel @ X2 @ X0)) = $true) & (((mrel @ X2 @ X1)) = $true)) => (((mrel @ X1 @ X0)) = $true))),
% 13.39/2.61 inference(fool_elimination,[],[f38])).
% 13.39/2.61 thf(f40,plain,(
% 13.39/2.61 ! [X0 : mworld] : (mrel @ X0 @ X0)),
% 13.39/2.61 inference(rectify,[],[f9])).
% 13.39/2.61 thf(f41,plain,(
% 13.39/2.61 ! [X0 : mworld] : (((mrel @ X0 @ X0)) = $true)),
% 13.39/2.61 inference(fool_elimination,[],[f40])).
% 13.39/2.61 thf(f42,plain,(
% 13.39/2.61 ! [X0 : mworld,X1 : $i,X2 : mworld] : (((eiw_di @ X1 @ X2) & (mrel @ X2 @ X0)) => (eiw_di @ X1 @ X0))),
% 13.39/2.61 inference(rectify,[],[f12])).
% 13.39/2.61 thf(f43,plain,(
% 13.39/2.61 ! [X0 : mworld,X2 : mworld,X1 : $i] : ((($true = ((eiw_di @ X1 @ X2))) & (((mrel @ X2 @ X0)) = $true)) => (((eiw_di @ X1 @ X0)) = $true))),
% 13.39/2.61 inference(fool_elimination,[],[f42])).
% 13.39/2.61 thf(f46,plain,(
% 13.39/2.61 (mimplies = (^[X0 : (mworld > $o), X1 : (mworld > $o), X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 13.39/2.61 inference(rectify,[],[f5])).
% 13.39/2.61 thf(f47,plain,(
% 13.39/2.61 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 13.39/2.61 inference(fool_elimination,[],[f46])).
% 13.39/2.61 thf(f48,plain,(
% 13.39/2.61 ((^[X0 : ($i > mworld > $o), X1 : mworld] : (! [X2 : $i] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_di)),
% 13.39/2.61 inference(rectify,[],[f13])).
% 13.39/2.61 thf(f49,plain,(
% 13.39/2.61 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 13.39/2.61 inference(fool_elimination,[],[f48])).
% 13.39/2.61 thf(f52,plain,(
% 13.39/2.61 ($true != ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mbox @ (mforall_di @ (^[Y1 : $i]: (mbox @ (mforall_di @ (^[Y2 : $i]: (mbox @ (mimplies @ (mand @ (mbox @ (member @ Y0 @ Y1)) @ (mbox @ (member @ Y0 @ Y2))) @ (mbox @ (intersect @ Y1 @ Y2))))))))))))))))),
% 13.39/2.61 inference(flattening,[],[f37])).
% 13.39/2.61 thf(f53,plain,(
% 13.39/2.61 ! [X1 : mworld,X0 : mworld,X2 : mworld] : ((((mrel @ X1 @ X0)) = $true) | ((((mrel @ X2 @ X0)) != $true) | (((mrel @ X2 @ X1)) != $true)))),
% 13.39/2.61 inference(ennf_transformation,[],[f39])).
% 13.39/2.61 thf(f54,plain,(
% 13.39/2.61 ! [X1 : mworld,X0 : mworld,X2 : mworld] : ((((mrel @ X2 @ X0)) != $true) | (((mrel @ X1 @ X0)) = $true) | (((mrel @ X2 @ X1)) != $true))),
% 13.39/2.61 inference(flattening,[],[f53])).
% 13.39/2.61 thf(f55,plain,(
% 13.39/2.61 ! [X0 : mworld,X2 : mworld,X1 : $i] : ((((eiw_di @ X1 @ X0)) = $true) | (($true != ((eiw_di @ X1 @ X2))) | (((mrel @ X2 @ X0)) != $true)))),
% 13.39/2.61 inference(ennf_transformation,[],[f43])).
% 13.39/2.61 thf(f56,plain,(
% 13.39/2.61 ! [X2 : mworld,X0 : mworld,X1 : $i] : (($true != ((eiw_di @ X1 @ X2))) | (((mrel @ X2 @ X0)) != $true) | (((eiw_di @ X1 @ X0)) = $true))),
% 13.39/2.61 inference(flattening,[],[f55])).
% 13.39/2.61 thf(f58,plain,(
% 13.39/2.61 ! [X0 : mworld,X1 : mworld,X2 : mworld] : ((((mrel @ X2 @ X1)) != $true) | (((mrel @ X0 @ X1)) = $true) | (((mrel @ X2 @ X0)) != $true))),
% 13.39/2.61 inference(rectify,[],[f54])).
% 13.39/2.61 thf(f59,plain,(
% 13.39/2.61 ! [X0 : mworld,X1 : mworld,X2 : $i] : ((((eiw_di @ X2 @ X0)) != $true) | (((mrel @ X0 @ X1)) != $true) | (((eiw_di @ X2 @ X1)) = $true))),
% 13.39/2.61 inference(rectify,[],[f56])).
% 13.39/2.61 thf(f61,plain,(
% 13.39/2.61 (((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mbox @ (mforall_di @ (^[Y1 : $i]: (mand @ (mbox @ (mimplies @ (mbox @ (intersect @ Y0 @ Y1)) @ (mexists_di @ (^[Y2 : $i]: (mand @ (mbox @ (member @ Y2 @ Y0)) @ (mbox @ (member @ Y2 @ Y1))))))) @ (mbox @ (mimplies @ (mexists_di @ (^[Y2 : $i]: (mand @ (mbox @ (member @ Y2 @ Y0)) @ (mbox @ (member @ Y2 @ Y1))))) @ (mbox @ (intersect @ Y0 @ Y1))))))))))))) = $true)),
% 13.39/2.61 inference(cnf_transformation,[],[f29])).
% 13.39/2.61 thf(f62,plain,(
% 13.39/2.61 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 13.39/2.61 inference(cnf_transformation,[],[f47])).
% 13.39/2.61 thf(f63,plain,(
% 13.39/2.61 ($true != ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mbox @ (mforall_di @ (^[Y1 : $i]: (mbox @ (mforall_di @ (^[Y2 : $i]: (mbox @ (mimplies @ (mand @ (mbox @ (member @ Y0 @ Y1)) @ (mbox @ (member @ Y0 @ Y2))) @ (mbox @ (intersect @ Y1 @ Y2))))))))))))))))),
% 13.39/2.61 inference(cnf_transformation,[],[f52])).
% 13.39/2.61 thf(f67,plain,(
% 13.39/2.61 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 13.39/2.61 inference(cnf_transformation,[],[f19])).
% 13.39/2.61 thf(f68,plain,(
% 13.39/2.61 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 13.39/2.61 inference(cnf_transformation,[],[f49])).
% 13.39/2.61 thf(f69,plain,(
% 13.39/2.61 (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 13.39/2.61 inference(cnf_transformation,[],[f21])).
% 13.39/2.61 thf(f70,plain,(
% 13.39/2.61 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 13.39/2.61 inference(cnf_transformation,[],[f25])).
% 13.39/2.61 thf(f72,plain,(
% 13.39/2.61 ( ! [X0 : mworld] : ((((mrel @ X0 @ X0)) = $true)) )),
% 13.39/2.61 inference(cnf_transformation,[],[f41])).
% 13.39/2.61 thf(f73,plain,(
% 13.39/2.61 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 13.39/2.61 inference(cnf_transformation,[],[f35])).
% 13.39/2.61 thf(f74,plain,(
% 13.39/2.61 ( ! [X2 : mworld,X0 : mworld,X1 : mworld] : ((((mrel @ X0 @ X1)) = $true) | (((mrel @ X2 @ X1)) != $true) | (((mrel @ X2 @ X0)) != $true)) )),
% 13.39/2.61 inference(cnf_transformation,[],[f58])).
% 13.39/2.61 thf(f76,plain,(
% 13.39/2.61 ( ! [X2 : $i,X0 : mworld,X1 : mworld] : ((((eiw_di @ X2 @ X1)) = $true) | (((eiw_di @ X2 @ X0)) != $true) | (((mrel @ X0 @ X1)) != $true)) )),
% 13.39/2.61 inference(cnf_transformation,[],[f59])).
% 13.39/2.61 thf(f78,definition,(
% 13.39/2.61 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 13.39/2.61 introduced(theory,[fool_exhaustiveness_axiom])).
% 13.39/2.61 thf(f80,plain,(
% 13.39/2.61 ((((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ (intersect @ Y0 @ Y1)) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) & (eiw_di @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (member @ Y2 @ Y0)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (member @ Y2 @ Y1))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) & (eiw_di @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (member @ Y2 @ Y0)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (member @ Y2 @ Y1))))) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ (intersect @ Y0 @ Y1))))))))))))) = $true)),
% 13.39/2.61 inference(definition_unfolding,[],[f61,f67,f69,f68,f69,f68,f73,f69,f62,f69,f70,f73,f69,f69,f69,f62,f70,f73,f69,f69,f69])).
% 13.39/2.61 thf(f81,plain,(
% 13.39/2.61 ((((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (member @ Y0 @ Y1)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (member @ Y0 @ Y2))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (intersect @ Y1 @ Y2))))))))))))))) != $true)),
% 13.39/2.61 inference(definition_unfolding,[],[f63,f67,f69,f68,f69,f68,f69,f68,f69,f62,f73,f69,f69,f69])).
% 13.39/2.61 thf(f82,definition,(
% 13.39/2.61 (sF1 = (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (member @ Y0 @ Y1)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (member @ Y0 @ Y2))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (intersect @ Y1 @ Y2))))))))))))))))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 13.39/2.61 thf(f83,plain,(
% 13.39/2.61 ((((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (member @ Y0 @ Y1)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (member @ Y0 @ Y2))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (intersect @ Y1 @ Y2))))))))))))))) = sF1)),
% 13.39/2.61 inference(reorient_equations,[],[f82])).
% 13.39/2.61 thf(f84,plain,(
% 13.39/2.61 (sF1 != $true)),
% 13.39/2.61 inference(definition_folding,[],[f81,f83])).
% 13.39/2.61 thf(f85,plain,(
% 13.39/2.61 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (intersect @ Y1 @ Y3 @ Y5)))) => (?? @ $i @ (^[Y5 : $i]: (((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (member @ Y5 @ Y1 @ Y6)))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (member @ Y5 @ Y3 @ Y6))))) & (eiw_di @ Y5 @ Y4)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => ((?? @ $i @ (^[Y5 : $i]: (((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (member @ Y5 @ Y1 @ Y6)))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (member @ Y5 @ Y3 @ Y6))))) & (eiw_di @ Y5 @ Y4)))) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (intersect @ Y1 @ Y3 @ Y5)))))))))))))))))))))) = $true)),
% 13.39/2.61 inference(beta-eta_normalization,[],[f80])).
% 13.39/2.61 thf(f86,plain,(
% 13.39/2.61 ( ! [X1 : mworld] : (($true = (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (intersect @ Y1 @ Y3 @ Y5)))) => (?? @ $i @ (^[Y5 : $i]: (((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (member @ Y5 @ Y1 @ Y6)))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (member @ Y5 @ Y3 @ Y6))))) & (eiw_di @ Y5 @ Y4)))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => ((?? @ $i @ (^[Y5 : $i]: (((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (member @ Y5 @ Y1 @ Y6)))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (member @ Y5 @ Y3 @ Y6))))) & (eiw_di @ Y5 @ Y4)))) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (intersect @ Y1 @ Y3 @ Y5)))))))))))))))))))) @ X1)))) )),
% 13.39/2.61 inference(pi_proxy_clausification,[],[f85])).
% 13.39/2.61 thf(f87,plain,(
% 13.39/2.61 ( ! [X1 : mworld] : (($true = (((mrel @ mactual @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (intersect @ Y0 @ Y2 @ Y4)))) => (?? @ $i @ (^[Y4 : $i]: (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (member @ Y4 @ Y0 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (member @ Y4 @ Y2 @ Y5))))) & (eiw_di @ Y4 @ Y3)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => ((?? @ $i @ (^[Y4 : $i]: (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (member @ Y4 @ Y0 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (member @ Y4 @ Y2 @ Y5))))) & (eiw_di @ Y4 @ Y3)))) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (intersect @ Y0 @ Y2 @ Y4)))))))))))))))))))))) )),
% 13.39/2.61 inference(beta-eta_normalization,[],[f86])).
% 13.39/2.61 thf(f88,plain,(
% 13.39/2.61 ( ! [X1 : mworld] : ((((mrel @ mactual @ X1)) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (intersect @ Y0 @ Y2 @ Y4)))) => (?? @ $i @ (^[Y4 : $i]: (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (member @ Y4 @ Y0 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (member @ Y4 @ Y2 @ Y5))))) & (eiw_di @ Y4 @ Y3)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => ((?? @ $i @ (^[Y4 : $i]: (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (member @ Y4 @ Y0 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (member @ Y4 @ Y2 @ Y5))))) & (eiw_di @ Y4 @ Y3)))) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (intersect @ Y0 @ Y2 @ Y4))))))))))))))))))) = $true)) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f87])).
% 13.39/2.61 thf(f89,plain,(
% 13.39/2.61 ( ! [X2 : $i,X1 : mworld] : (((((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (intersect @ Y0 @ Y2 @ Y4)))) => (?? @ $i @ (^[Y4 : $i]: (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (member @ Y4 @ Y0 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (member @ Y4 @ Y2 @ Y5))))) & (eiw_di @ Y4 @ Y3)))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => ((?? @ $i @ (^[Y4 : $i]: (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (member @ Y4 @ Y0 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (member @ Y4 @ Y2 @ Y5))))) & (eiw_di @ Y4 @ Y3)))) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (intersect @ Y0 @ Y2 @ Y4))))))))))))))))) @ X2)) = $true) | (((mrel @ mactual @ X1)) = $false)) )),
% 13.39/2.61 inference(pi_proxy_clausification,[],[f88])).
% 13.39/2.61 thf(f90,plain,(
% 13.39/2.61 ( ! [X2 : $i,X1 : mworld] : ((((mrel @ mactual @ X1)) = $false) | ($true = (((eiw_di @ X2 @ X1) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (intersect @ X2 @ Y1 @ Y3)))) => (?? @ $i @ (^[Y3 : $i]: (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (member @ Y3 @ X2 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (member @ Y3 @ Y1 @ Y4))))) & (eiw_di @ Y3 @ Y2)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((?? @ $i @ (^[Y3 : $i]: (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (member @ Y3 @ X2 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (member @ Y3 @ Y1 @ Y4))))) & (eiw_di @ Y3 @ Y2)))) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (intersect @ X2 @ Y1 @ Y3))))))))))))))))))) )),
% 13.39/2.61 inference(beta-eta_normalization,[],[f89])).
% 13.39/2.61 thf(f91,plain,(
% 13.39/2.61 ( ! [X2 : $i,X1 : mworld] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (intersect @ X2 @ Y1 @ Y3)))) => (?? @ $i @ (^[Y3 : $i]: (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (member @ Y3 @ X2 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (member @ Y3 @ Y1 @ Y4))))) & (eiw_di @ Y3 @ Y2)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((?? @ $i @ (^[Y3 : $i]: (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (member @ Y3 @ X2 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (member @ Y3 @ Y1 @ Y4))))) & (eiw_di @ Y3 @ Y2)))) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (intersect @ X2 @ Y1 @ Y3)))))))))))))))) = $true) | (((mrel @ mactual @ X1)) = $false) | (((eiw_di @ X2 @ X1)) = $false)) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f90])).
% 13.39/2.61 thf(f92,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (($true = (((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (intersect @ X2 @ Y1 @ Y3)))) => (?? @ $i @ (^[Y3 : $i]: (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (member @ Y3 @ X2 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (member @ Y3 @ Y1 @ Y4))))) & (eiw_di @ Y3 @ Y2)))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((?? @ $i @ (^[Y3 : $i]: (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (member @ Y3 @ X2 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (member @ Y3 @ Y1 @ Y4))))) & (eiw_di @ Y3 @ Y2)))) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (intersect @ X2 @ Y1 @ Y3)))))))))))))) @ X3))) | (((eiw_di @ X2 @ X1)) = $false) | (((mrel @ mactual @ X1)) = $false)) )),
% 13.39/2.61 inference(pi_proxy_clausification,[],[f91])).
% 13.39/2.61 thf(f93,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : (((((mrel @ X1 @ X3) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X3) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X3 @ Y1) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (intersect @ X2 @ Y0 @ Y2)))) => (?? @ $i @ (^[Y2 : $i]: (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (member @ Y2 @ X2 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (member @ Y2 @ Y0 @ Y3))))) & (eiw_di @ Y2 @ Y1)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X3 @ Y1) => ((?? @ $i @ (^[Y2 : $i]: (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (member @ Y2 @ X2 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (member @ Y2 @ Y0 @ Y3))))) & (eiw_di @ Y2 @ Y1)))) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (intersect @ X2 @ Y0 @ Y2)))))))))))))) = $true) | (((mrel @ mactual @ X1)) = $false) | (((eiw_di @ X2 @ X1)) = $false)) )),
% 13.39/2.61 inference(beta-eta_normalization,[],[f92])).
% 13.39/2.61 thf(f94,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld] : ((((mrel @ X1 @ X3)) = $false) | (((mrel @ mactual @ X1)) = $false) | (((eiw_di @ X2 @ X1)) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X3) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X3 @ Y1) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (intersect @ X2 @ Y0 @ Y2)))) => (?? @ $i @ (^[Y2 : $i]: (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (member @ Y2 @ X2 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (member @ Y2 @ Y0 @ Y3))))) & (eiw_di @ Y2 @ Y1)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X3 @ Y1) => ((?? @ $i @ (^[Y2 : $i]: (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (member @ Y2 @ X2 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (member @ Y2 @ Y0 @ Y3))))) & (eiw_di @ Y2 @ Y1)))) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (intersect @ X2 @ Y0 @ Y2))))))))))))))) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f93])).
% 13.39/2.61 thf(f95,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i] : ((((eiw_di @ X2 @ X1)) = $false) | ($true = (((^[Y0 : $i]: ((eiw_di @ Y0 @ X3) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X3 @ Y1) => ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (intersect @ X2 @ Y0 @ Y2)))) => (?? @ $i @ (^[Y2 : $i]: (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (member @ Y2 @ X2 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (member @ Y2 @ Y0 @ Y3))))) & (eiw_di @ Y2 @ Y1)))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X3 @ Y1) => ((?? @ $i @ (^[Y2 : $i]: (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (member @ Y2 @ X2 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (member @ Y2 @ Y0 @ Y3))))) & (eiw_di @ Y2 @ Y1)))) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (intersect @ X2 @ Y0 @ Y2))))))))))) @ X4))) | (((mrel @ mactual @ X1)) = $false) | (((mrel @ X1 @ X3)) = $false)) )),
% 13.39/2.61 inference(pi_proxy_clausification,[],[f94])).
% 13.39/2.61 thf(f96,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i] : ((((mrel @ X1 @ X3)) = $false) | (((eiw_di @ X2 @ X1)) = $false) | (((mrel @ mactual @ X1)) = $false) | ((((eiw_di @ X4 @ X3) => ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X3 @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (intersect @ X2 @ X4 @ Y1)))) => (?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (member @ Y1 @ X2 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (member @ Y1 @ X4 @ Y2))))) & (eiw_di @ Y1 @ Y0)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X3 @ Y0) => ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (member @ Y1 @ X2 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (member @ Y1 @ X4 @ Y2))))) & (eiw_di @ Y1 @ Y0)))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (intersect @ X2 @ X4 @ Y1))))))))))) = $true)) )),
% 13.39/2.61 inference(beta-eta_normalization,[],[f95])).
% 13.39/2.61 thf(f97,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i] : ((((mrel @ X1 @ X3)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | (((eiw_di @ X2 @ X1)) = $false) | ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X3 @ Y0) => ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (intersect @ X2 @ X4 @ Y1)))) => (?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (member @ Y1 @ X2 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (member @ Y1 @ X4 @ Y2))))) & (eiw_di @ Y1 @ Y0)))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X3 @ Y0) => ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (member @ Y1 @ X2 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (member @ Y1 @ X4 @ Y2))))) & (eiw_di @ Y1 @ Y0)))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (intersect @ X2 @ X4 @ Y1)))))))))) = $true) | (((mrel @ mactual @ X1)) = $false)) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f96])).
% 13.39/2.61 thf(f98,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i] : ((((mrel @ X1 @ X3)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X3 @ Y0) => ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (member @ Y1 @ X2 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (member @ Y1 @ X4 @ Y2))))) & (eiw_di @ Y1 @ Y0)))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (intersect @ X2 @ X4 @ Y1))))))))) = $true) | (((mrel @ mactual @ X1)) = $false) | (((eiw_di @ X2 @ X1)) = $false)) )),
% 13.39/2.61 inference(and_proxy_clausification,[],[f97])).
% 13.39/2.61 thf(f129,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : ((((mrel @ X1 @ X3)) = $false) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | (((mrel @ mactual @ X1)) = $false) | ($true = (((^[Y0 : mworld]: ((mrel @ X3 @ Y0) => ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (member @ Y1 @ X2 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (member @ Y1 @ X4 @ Y2))))) & (eiw_di @ Y1 @ Y0)))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (intersect @ X2 @ X4 @ Y1))))))) @ X5)))) )),
% 13.39/2.61 inference(pi_proxy_clausification,[],[f98])).
% 13.39/2.61 thf(f130,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (($true = (((mrel @ X3 @ X5) => ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X5 @ Y1) => (member @ Y0 @ X2 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X5 @ Y1) => (member @ Y0 @ X4 @ Y1))))) & (eiw_di @ Y0 @ X5)))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (intersect @ X2 @ X4 @ Y0)))))))) | (((mrel @ X1 @ X3)) = $false) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | (((mrel @ mactual @ X1)) = $false)) )),
% 13.39/2.61 inference(beta-eta_normalization,[],[f129])).
% 13.39/2.61 thf(f131,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : (($false = ((mrel @ X3 @ X5))) | (((eiw_di @ X2 @ X1)) = $false) | (((mrel @ mactual @ X1)) = $false) | (((mrel @ X1 @ X3)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | ($true = (((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X5 @ Y1) => (member @ Y0 @ X2 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X5 @ Y1) => (member @ Y0 @ X4 @ Y1))))) & (eiw_di @ Y0 @ X5)))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (intersect @ X2 @ X4 @ Y0)))))))) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f130])).
% 13.39/2.61 thf(f132,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X4 : $i,X5 : mworld] : ((((eiw_di @ X2 @ X1)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | (((mrel @ X1 @ X3)) = $false) | ($false = ((mrel @ X3 @ X5))) | (((mrel @ mactual @ X1)) = $false) | ($false = ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X5 @ Y1) => (member @ Y0 @ X2 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X5 @ Y1) => (member @ Y0 @ X4 @ Y1))))) & (eiw_di @ Y0 @ X5)))))) | ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (intersect @ X2 @ X4 @ Y0))))))) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f131])).
% 13.39/2.61 thf(f133,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : ((((mrel @ mactual @ X1)) = $false) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((mrel @ X3 @ X5))) | (((mrel @ X1 @ X3)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (intersect @ X2 @ X4 @ Y0)))))) | ((((^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X5 @ Y1) => (member @ Y0 @ X2 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X5 @ Y1) => (member @ Y0 @ X4 @ Y1))))) & (eiw_di @ Y0 @ X5))) @ X6)) = $false)) )),
% 13.39/2.61 inference(pi_proxy_clausification,[],[f132])).
% 13.39/2.61 thf(f134,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : (((((^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X5 @ Y1) => (member @ Y0 @ X2 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X5 @ Y1) => (member @ Y0 @ X4 @ Y1))))) & (eiw_di @ Y0 @ X5))) @ X6)) = $false) | ($false = ((mrel @ X3 @ X5))) | (((mrel @ mactual @ X1)) = $false) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | (((mrel @ X1 @ X3)) = $false) | ((((^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (intersect @ X2 @ X4 @ Y0))) @ X7)) = $true)) )),
% 13.39/2.61 inference(pi_proxy_clausification,[],[f133])).
% 13.39/2.61 thf(f135,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : ((((eiw_di @ X2 @ X1)) = $false) | (((mrel @ mactual @ X1)) = $false) | ($true = (((mrel @ X5 @ X7) => (intersect @ X2 @ X4 @ X7)))) | (((mrel @ X1 @ X3)) = $false) | (((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (member @ X6 @ X2 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (member @ X6 @ X4 @ Y0))))) & (eiw_di @ X6 @ X5))) = $false) | ($false = ((eiw_di @ X4 @ X3))) | ($false = ((mrel @ X3 @ X5)))) )),
% 13.39/2.61 inference(beta-eta_normalization,[],[f134])).
% 13.39/2.61 thf(f136,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : ((((mrel @ mactual @ X1)) = $false) | ($false = ((mrel @ X5 @ X7))) | ($false = ((mrel @ X3 @ X5))) | (((eiw_di @ X2 @ X1)) = $false) | (((mrel @ X1 @ X3)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | (((intersect @ X2 @ X4 @ X7)) = $true) | (((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (member @ X6 @ X2 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (member @ X6 @ X4 @ Y0))))) & (eiw_di @ X6 @ X5))) = $false)) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f135])).
% 13.39/2.61 thf(f137,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : (($false = ((mrel @ X3 @ X5))) | (((mrel @ mactual @ X1)) = $false) | (((intersect @ X2 @ X4 @ X7)) = $true) | ($false = ((mrel @ X5 @ X7))) | ($false = ((eiw_di @ X6 @ X5))) | ($false = (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (member @ X6 @ X2 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (member @ X6 @ X4 @ Y0))))))) | (((mrel @ X1 @ X3)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | (((eiw_di @ X2 @ X1)) = $false)) )),
% 13.39/2.61 inference(and_proxy_clausification,[],[f136])).
% 13.39/2.61 thf(f138,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : ((((eiw_di @ X2 @ X1)) = $false) | (((mrel @ X1 @ X3)) = $false) | ($false = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (member @ X6 @ X4 @ Y0)))))) | ($false = ((mrel @ X3 @ X5))) | ($false = ((eiw_di @ X6 @ X5))) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (member @ X6 @ X2 @ Y0))))) = $false) | ($false = ((mrel @ X5 @ X7))) | ($false = ((eiw_di @ X4 @ X3))) | (((intersect @ X2 @ X4 @ X7)) = $true) | (((mrel @ mactual @ X1)) = $false)) )),
% 13.39/2.61 inference(and_proxy_clausification,[],[f137])).
% 13.39/2.61 thf(f139,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : (($false = ((eiw_di @ X4 @ X3))) | ($false = (((^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (member @ X6 @ X4 @ Y0))) @ (sK4 @ X5 @ X4 @ X6)))) | (((mrel @ mactual @ X1)) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (member @ X6 @ X2 @ Y0))))) = $false) | (((intersect @ X2 @ X4 @ X7)) = $true) | ($false = ((mrel @ X3 @ X5))) | ($false = ((eiw_di @ X6 @ X5))) | ($false = ((mrel @ X5 @ X7))) | (((eiw_di @ X2 @ X1)) = $false) | (((mrel @ X1 @ X3)) = $false)) )),
% 13.39/2.61 inference(sigma_proxy_clausification,[],[f138])).
% 13.39/2.61 thf(f140,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : (($false = ((mrel @ X5 @ X7))) | ($false = ((eiw_di @ X4 @ X3))) | (((mrel @ X1 @ X3)) = $false) | (((mrel @ mactual @ X1)) = $false) | ($false = ((mrel @ X3 @ X5))) | ($false = (((^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (member @ X6 @ X4 @ Y0))) @ (sK4 @ X5 @ X4 @ X6)))) | ($false = (((^[Y0 : mworld]: ((mrel @ X5 @ Y0) => (member @ X6 @ X2 @ Y0))) @ (sK5 @ X5 @ X2 @ X6)))) | (((intersect @ X2 @ X4 @ X7)) = $true) | ($false = ((eiw_di @ X6 @ X5))) | (((eiw_di @ X2 @ X1)) = $false)) )),
% 13.39/2.61 inference(sigma_proxy_clausification,[],[f139])).
% 13.39/2.61 thf(f141,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : (((((mrel @ X5 @ (sK4 @ X5 @ X4 @ X6)) => (member @ X6 @ X4 @ (sK4 @ X5 @ X4 @ X6)))) = $false) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | (((mrel @ X1 @ X3)) = $false) | (((mrel @ mactual @ X1)) = $false) | ($false = ((mrel @ X5 @ X7))) | ($false = (((mrel @ X5 @ (sK5 @ X5 @ X2 @ X6)) => (member @ X6 @ X2 @ (sK5 @ X5 @ X2 @ X6))))) | ($false = ((mrel @ X3 @ X5))) | ($false = ((eiw_di @ X6 @ X5))) | (((intersect @ X2 @ X4 @ X7)) = $true)) )),
% 13.39/2.61 inference(beta-eta_normalization,[],[f140])).
% 13.39/2.61 thf(f142,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : (($false = ((eiw_di @ X4 @ X3))) | ($false = ((eiw_di @ X6 @ X5))) | (((mrel @ X1 @ X3)) = $false) | ($false = (((mrel @ X5 @ (sK5 @ X5 @ X2 @ X6)) => (member @ X6 @ X2 @ (sK5 @ X5 @ X2 @ X6))))) | ($false = ((mrel @ X3 @ X5))) | ($false = ((mrel @ X5 @ X7))) | (((mrel @ mactual @ X1)) = $false) | (((intersect @ X2 @ X4 @ X7)) = $true) | (((member @ X6 @ X4 @ (sK4 @ X5 @ X4 @ X6))) = $false) | (((eiw_di @ X2 @ X1)) = $false)) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f141])).
% 13.39/2.61 thf(f143,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : ((((mrel @ X1 @ X3)) = $false) | ($false = ((eiw_di @ X6 @ X5))) | (((mrel @ mactual @ X1)) = $false) | ($true = ((mrel @ X5 @ (sK4 @ X5 @ X4 @ X6)))) | ($false = ((mrel @ X3 @ X5))) | ($false = (((mrel @ X5 @ (sK5 @ X5 @ X2 @ X6)) => (member @ X6 @ X2 @ (sK5 @ X5 @ X2 @ X6))))) | (((eiw_di @ X2 @ X1)) = $false) | (((intersect @ X2 @ X4 @ X7)) = $true) | ($false = ((mrel @ X5 @ X7))) | ($false = ((eiw_di @ X4 @ X3)))) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f141])).
% 13.39/2.61 thf(f144,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : ((((member @ X6 @ X2 @ (sK5 @ X5 @ X2 @ X6))) = $false) | (((intersect @ X2 @ X4 @ X7)) = $true) | (((mrel @ mactual @ X1)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | ($false = ((mrel @ X5 @ X7))) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((eiw_di @ X6 @ X5))) | ($false = ((mrel @ X3 @ X5))) | (((mrel @ X1 @ X3)) = $false) | ($true = ((mrel @ X5 @ (sK4 @ X5 @ X4 @ X6))))) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f143])).
% 13.39/2.61 thf(f145,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : (($true = ((mrel @ X5 @ (sK5 @ X5 @ X2 @ X6)))) | (((eiw_di @ X2 @ X1)) = $false) | ($false = ((eiw_di @ X6 @ X5))) | ($false = ((mrel @ X5 @ X7))) | ($false = ((mrel @ X3 @ X5))) | (((mrel @ X1 @ X3)) = $false) | (((mrel @ mactual @ X1)) = $false) | ($true = ((mrel @ X5 @ (sK4 @ X5 @ X4 @ X6)))) | ($false = ((eiw_di @ X4 @ X3))) | (((intersect @ X2 @ X4 @ X7)) = $true)) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f143])).
% 13.39/2.61 thf(f146,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : ((((member @ X6 @ X4 @ (sK4 @ X5 @ X4 @ X6))) = $false) | ($false = ((mrel @ X5 @ X7))) | ($false = ((eiw_di @ X6 @ X5))) | (((eiw_di @ X2 @ X1)) = $false) | (((mrel @ X1 @ X3)) = $false) | ($false = ((mrel @ X3 @ X5))) | (((intersect @ X2 @ X4 @ X7)) = $true) | (((mrel @ mactual @ X1)) = $false) | ($false = ((eiw_di @ X4 @ X3))) | (((member @ X6 @ X2 @ (sK5 @ X5 @ X2 @ X6))) = $false)) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f142])).
% 13.39/2.61 thf(f147,plain,(
% 13.39/2.61 ( ! [X2 : $i,X3 : mworld,X1 : mworld,X6 : $i,X7 : mworld,X4 : $i,X5 : mworld] : ((((member @ X6 @ X4 @ (sK4 @ X5 @ X4 @ X6))) = $false) | (((eiw_di @ X2 @ X1)) = $false) | ($true = ((mrel @ X5 @ (sK5 @ X5 @ X2 @ X6)))) | (((mrel @ X1 @ X3)) = $false) | ($false = ((mrel @ X3 @ X5))) | ($false = ((eiw_di @ X4 @ X3))) | (((mrel @ mactual @ X1)) = $false) | (((intersect @ X2 @ X4 @ X7)) = $true) | ($false = ((eiw_di @ X6 @ X5))) | ($false = ((mrel @ X5 @ X7)))) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f142])).
% 13.39/2.61 thf(f149,plain,(
% 13.39/2.61 (sF1 = $true) | ((((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (member @ Y0 @ Y1)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (member @ Y0 @ Y2))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (Y3 @ Y5))))))) @ (intersect @ Y1 @ Y2))))))))))))))) = $false)),
% 13.39/2.61 inference(iff_proxy_clausification,[],[f83])).
% 13.39/2.61 thf(f150,plain,(
% 13.39/2.61 (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (((!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (member @ Y1 @ Y3 @ Y7)))) & (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (member @ Y1 @ Y5 @ Y7))))) => (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (intersect @ Y3 @ Y5 @ Y7))))))))))))))))))))))))))) = $false) | (sF1 = $true)),
% 13.39/2.61 inference(beta-eta_normalization,[],[f149])).
% 13.39/2.61 thf(f151,plain,(
% 13.39/2.61 ($false = (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y4 @ Y6) => (((!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (member @ Y1 @ Y3 @ Y7)))) & (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (member @ Y1 @ Y5 @ Y7))))) => (!! @ mworld @ (^[Y7 : mworld]: ((mrel @ Y6 @ Y7) => (intersect @ Y3 @ Y5 @ Y7))))))))))))))))))))))))) @ sK6))) | (sF1 = $true)),
% 13.39/2.61 inference(sigma_proxy_clausification,[],[f150])).
% 13.39/2.61 thf(f152,plain,(
% 13.39/2.61 ($false = (((mrel @ mactual @ sK6) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK6) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK6 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (member @ Y0 @ Y2 @ Y6)))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (member @ Y0 @ Y4 @ Y6))))) => (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (intersect @ Y2 @ Y4 @ Y6)))))))))))))))))))))))))) | (sF1 = $true)),
% 13.39/2.61 inference(beta-eta_normalization,[],[f151])).
% 13.39/2.61 thf(f153,plain,(
% 13.39/2.61 ($false = ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK6) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK6 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (member @ Y0 @ Y2 @ Y6)))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (member @ Y0 @ Y4 @ Y6))))) => (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (intersect @ Y2 @ Y4 @ Y6))))))))))))))))))))))))) | (sF1 = $true)),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f152])).
% 13.39/2.61 thf(f154,plain,(
% 13.39/2.61 (((mrel @ mactual @ sK6)) = $true) | (sF1 = $true)),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f152])).
% 13.39/2.61 thf(f155,plain,(
% 13.39/2.61 (sF1 = $true) | ((((^[Y0 : $i]: ((eiw_di @ Y0 @ sK6) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK6 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y3 @ Y5) => (((!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (member @ Y0 @ Y2 @ Y6)))) & (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (member @ Y0 @ Y4 @ Y6))))) => (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (intersect @ Y2 @ Y4 @ Y6)))))))))))))))))))))) @ sK7)) = $false)),
% 13.39/2.61 inference(sigma_proxy_clausification,[],[f153])).
% 13.39/2.61 thf(f156,plain,(
% 13.39/2.61 ((((eiw_di @ sK7 @ sK6) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (member @ sK7 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (member @ sK7 @ Y3 @ Y5))))) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (intersect @ Y1 @ Y3 @ Y5)))))))))))))))))))))) = $false) | (sF1 = $true)),
% 13.39/2.61 inference(beta-eta_normalization,[],[f155])).
% 13.39/2.61 thf(f157,plain,(
% 13.39/2.61 (sF1 = $true) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (member @ sK7 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (member @ sK7 @ Y3 @ Y5))))) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (intersect @ Y1 @ Y3 @ Y5))))))))))))))))))))) = $false)),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f156])).
% 13.39/2.61 thf(f158,plain,(
% 13.39/2.61 (sF1 = $true) | ($true = ((eiw_di @ sK7 @ sK6)))),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f156])).
% 13.39/2.61 thf(f159,plain,(
% 13.39/2.61 (sF1 = $true) | ($false = (((^[Y0 : mworld]: ((mrel @ sK6 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y2 @ Y4) => (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (member @ sK7 @ Y1 @ Y5)))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (member @ sK7 @ Y3 @ Y5))))) => (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y4 @ Y5) => (intersect @ Y1 @ Y3 @ Y5))))))))))))))))))) @ sK8)))),
% 13.39/2.61 inference(sigma_proxy_clausification,[],[f157])).
% 13.39/2.61 thf(f160,plain,(
% 13.39/2.61 ($false = (((mrel @ sK6 @ sK8) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK8) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK8 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (member @ sK7 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (member @ sK7 @ Y2 @ Y4))))) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (intersect @ Y0 @ Y2 @ Y4)))))))))))))))))))) | (sF1 = $true)),
% 13.39/2.61 inference(beta-eta_normalization,[],[f159])).
% 13.39/2.61 thf(f161,plain,(
% 13.39/2.61 ($false = ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK8) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK8 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (member @ sK7 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (member @ sK7 @ Y2 @ Y4))))) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (intersect @ Y0 @ Y2 @ Y4))))))))))))))))))) | (sF1 = $true)),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f160])).
% 13.39/2.61 thf(f162,plain,(
% 13.39/2.61 (sF1 = $true) | ($true = ((mrel @ sK6 @ sK8)))),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f160])).
% 13.39/2.61 thf(f163,plain,(
% 13.39/2.61 ($false = (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK8) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK8 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y1 @ Y3) => (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (member @ sK7 @ Y0 @ Y4)))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (member @ sK7 @ Y2 @ Y4))))) => (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ Y3 @ Y4) => (intersect @ Y0 @ Y2 @ Y4)))))))))))))))) @ sK9))) | (sF1 = $true)),
% 13.39/2.61 inference(sigma_proxy_clausification,[],[f161])).
% 13.39/2.61 thf(f164,plain,(
% 13.39/2.61 (sF1 = $true) | ((((eiw_di @ sK9 @ sK8) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (member @ sK7 @ sK9 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (member @ sK7 @ Y1 @ Y3))))) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (intersect @ sK9 @ Y1 @ Y3)))))))))))))))) = $false)),
% 13.39/2.61 inference(beta-eta_normalization,[],[f163])).
% 13.39/2.61 thf(f165,plain,(
% 13.39/2.61 (sF1 = $true) | ($false = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (member @ sK7 @ sK9 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (member @ sK7 @ Y1 @ Y3))))) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (intersect @ sK9 @ Y1 @ Y3))))))))))))))))),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f164])).
% 13.39/2.61 thf(f166,plain,(
% 13.39/2.61 ($true = ((eiw_di @ sK9 @ sK8))) | (sF1 = $true)),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f164])).
% 13.39/2.61 thf(f167,plain,(
% 13.39/2.61 (sF1 = $true) | ($false = (((^[Y0 : mworld]: ((mrel @ sK8 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (member @ sK7 @ sK9 @ Y3)))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (member @ sK7 @ Y1 @ Y3))))) => (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (intersect @ sK9 @ Y1 @ Y3))))))))))))) @ sK10)))),
% 13.39/2.61 inference(sigma_proxy_clausification,[],[f165])).
% 13.39/2.61 thf(f168,plain,(
% 13.39/2.61 (sF1 = $true) | ($false = (((mrel @ sK8 @ sK10) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (member @ sK7 @ sK9 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (member @ sK7 @ Y0 @ Y2))))) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (intersect @ sK9 @ Y0 @ Y2))))))))))))))),
% 13.39/2.61 inference(beta-eta_normalization,[],[f167])).
% 13.39/2.61 thf(f169,plain,(
% 13.39/2.61 (sF1 = $true) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (member @ sK7 @ sK9 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (member @ sK7 @ Y0 @ Y2))))) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (intersect @ sK9 @ Y0 @ Y2)))))))))))))),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f168])).
% 13.39/2.61 thf(f170,plain,(
% 13.39/2.61 ($true = ((mrel @ sK8 @ sK10))) | (sF1 = $true)),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f168])).
% 13.39/2.61 thf(f171,plain,(
% 13.39/2.61 (sF1 = $true) | ($false = (((^[Y0 : $i]: ((eiw_di @ Y0 @ sK10) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK10 @ Y1) => (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (member @ sK7 @ sK9 @ Y2)))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (member @ sK7 @ Y0 @ Y2))))) => (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (intersect @ sK9 @ Y0 @ Y2)))))))))) @ sK11)))),
% 13.39/2.61 inference(sigma_proxy_clausification,[],[f169])).
% 13.39/2.61 thf(f172,plain,(
% 13.39/2.61 ($false = (((eiw_di @ sK11 @ sK10) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (member @ sK7 @ sK9 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (member @ sK7 @ sK11 @ Y1))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (intersect @ sK9 @ sK11 @ Y1))))))))))) | (sF1 = $true)),
% 13.39/2.61 inference(beta-eta_normalization,[],[f171])).
% 13.39/2.61 thf(f173,plain,(
% 13.39/2.61 ($false = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (member @ sK7 @ sK9 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (member @ sK7 @ sK11 @ Y1))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (intersect @ sK9 @ sK11 @ Y1)))))))))) | (sF1 = $true)),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f172])).
% 13.39/2.61 thf(f174,plain,(
% 13.39/2.61 (sF1 = $true) | ($true = ((eiw_di @ sK11 @ sK10)))),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f172])).
% 13.39/2.61 thf(f175,plain,(
% 13.39/2.61 (sF1 = $true) | ((((^[Y0 : mworld]: ((mrel @ sK10 @ Y0) => (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (member @ sK7 @ sK9 @ Y1)))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (member @ sK7 @ sK11 @ Y1))))) => (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ Y0 @ Y1) => (intersect @ sK9 @ sK11 @ Y1))))))) @ sK12)) = $false)),
% 13.39/2.61 inference(sigma_proxy_clausification,[],[f173])).
% 13.39/2.61 thf(f176,plain,(
% 13.39/2.61 (sF1 = $true) | ((((mrel @ sK10 @ sK12) => (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (member @ sK7 @ sK9 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (member @ sK7 @ sK11 @ Y0))))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (intersect @ sK9 @ sK11 @ Y0))))))) = $false)),
% 13.39/2.61 inference(beta-eta_normalization,[],[f175])).
% 13.39/2.61 thf(f177,plain,(
% 13.39/2.61 (sF1 = $true) | (((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (member @ sK7 @ sK9 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (member @ sK7 @ sK11 @ Y0))))) => (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (intersect @ sK9 @ sK11 @ Y0)))))) = $false)),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f176])).
% 13.39/2.61 thf(f178,plain,(
% 13.39/2.61 (sF1 = $true) | ($true = ((mrel @ sK10 @ sK12)))),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f176])).
% 13.39/2.61 thf(f179,plain,(
% 13.39/2.61 ($false = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (intersect @ sK9 @ sK11 @ Y0)))))) | (sF1 = $true)),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f177])).
% 13.39/2.61 thf(f180,plain,(
% 13.39/2.61 ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (member @ sK7 @ sK9 @ Y0)))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (member @ sK7 @ sK11 @ Y0)))))) = $true) | (sF1 = $true)),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f177])).
% 13.39/2.61 thf(f181,plain,(
% 13.39/2.61 (sF1 = $true) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (member @ sK7 @ sK11 @ Y0))))) = $true)),
% 13.39/2.61 inference(and_proxy_clausification,[],[f180])).
% 13.39/2.61 thf(f182,plain,(
% 13.39/2.61 (sF1 = $true) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (member @ sK7 @ sK9 @ Y0))))) = $true)),
% 13.39/2.61 inference(and_proxy_clausification,[],[f180])).
% 13.39/2.61 thf(f183,plain,(
% 13.39/2.61 ( ! [X1 : mworld] : (((((^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (member @ sK7 @ sK9 @ Y0))) @ X1)) = $true) | (sF1 = $true)) )),
% 13.39/2.61 inference(pi_proxy_clausification,[],[f182])).
% 13.39/2.61 thf(f184,plain,(
% 13.39/2.61 ( ! [X1 : mworld] : (((((mrel @ sK12 @ X1) => (member @ sK7 @ sK9 @ X1))) = $true) | (sF1 = $true)) )),
% 13.39/2.61 inference(beta-eta_normalization,[],[f183])).
% 13.39/2.61 thf(f185,plain,(
% 13.39/2.61 ( ! [X1 : mworld] : ((sF1 = $true) | (((member @ sK7 @ sK9 @ X1)) = $true) | ($false = ((mrel @ sK12 @ X1)))) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f184])).
% 13.39/2.61 thf(f186,plain,(
% 13.39/2.61 ( ! [X1 : mworld] : ((sF1 = $true) | ((((^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (member @ sK7 @ sK11 @ Y0))) @ X1)) = $true)) )),
% 13.39/2.61 inference(pi_proxy_clausification,[],[f181])).
% 13.39/2.61 thf(f187,plain,(
% 13.39/2.61 ( ! [X1 : mworld] : ((sF1 = $true) | ((((mrel @ sK12 @ X1) => (member @ sK7 @ sK11 @ X1))) = $true)) )),
% 13.39/2.61 inference(beta-eta_normalization,[],[f186])).
% 13.39/2.61 thf(f188,plain,(
% 13.39/2.61 ( ! [X1 : mworld] : (($false = ((mrel @ sK12 @ X1))) | (sF1 = $true) | (((member @ sK7 @ sK11 @ X1)) = $true)) )),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f187])).
% 13.39/2.61 thf(f189,plain,(
% 13.39/2.61 ((((^[Y0 : mworld]: ((mrel @ sK12 @ Y0) => (intersect @ sK9 @ sK11 @ Y0))) @ sK13)) = $false) | (sF1 = $true)),
% 13.39/2.61 inference(sigma_proxy_clausification,[],[f179])).
% 13.39/2.61 thf(f190,plain,(
% 13.39/2.61 (sF1 = $true) | ((((mrel @ sK12 @ sK13) => (intersect @ sK9 @ sK11 @ sK13))) = $false)),
% 13.39/2.61 inference(beta-eta_normalization,[],[f189])).
% 13.39/2.61 thf(f191,plain,(
% 13.39/2.61 ($false = ((intersect @ sK9 @ sK11 @ sK13))) | (sF1 = $true)),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f190])).
% 13.39/2.61 thf(f192,plain,(
% 13.39/2.61 (((mrel @ sK12 @ sK13)) = $true) | (sF1 = $true)),
% 13.39/2.61 inference(imp_proxy_clausification,[],[f190])).
% 13.39/2.61 thf(f255,definition,(
% 13.39/2.61 spl17_1 <=> (((mrel @ mactual @ sK6)) = $true)),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition])).
% 13.39/2.61 thf(f257,plain,(
% 13.39/2.61 (((mrel @ mactual @ sK6)) = $true) | ~spl17_1),
% 13.39/2.61 inference(avatar_component_clause,[],[f255])).
% 13.39/2.61 thf(f259,definition,(
% 13.39/2.61 spl17_2 <=> (sF1 = $true)),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition])).
% 13.39/2.61 thf(f262,plain,(
% 13.39/2.61 spl17_1 | spl17_2),
% 13.39/2.61 inference(avatar_split_clause,[],[f154,f259,f255])).
% 13.39/2.61 thf(f264,definition,(
% 13.39/2.61 spl17_3 <=> ($true = ((eiw_di @ sK7 @ sK6)))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition])).
% 13.39/2.61 thf(f266,plain,(
% 13.39/2.61 ($true = ((eiw_di @ sK7 @ sK6))) | ~spl17_3),
% 13.39/2.61 inference(avatar_component_clause,[],[f264])).
% 13.39/2.61 thf(f267,plain,(
% 13.39/2.61 spl17_2 | spl17_3),
% 13.39/2.61 inference(avatar_split_clause,[],[f158,f264,f259])).
% 13.39/2.61 thf(f269,definition,(
% 13.39/2.61 spl17_4 <=> ($true = ((mrel @ sK6 @ sK8)))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition])).
% 13.39/2.61 thf(f271,plain,(
% 13.39/2.61 ($true = ((mrel @ sK6 @ sK8))) | ~spl17_4),
% 13.39/2.61 inference(avatar_component_clause,[],[f269])).
% 13.39/2.61 thf(f272,plain,(
% 13.39/2.61 spl17_4 | spl17_2),
% 13.39/2.61 inference(avatar_split_clause,[],[f162,f259,f269])).
% 13.39/2.61 thf(f274,definition,(
% 13.39/2.61 spl17_5 <=> ($true = ((eiw_di @ sK9 @ sK8)))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition])).
% 13.39/2.61 thf(f276,plain,(
% 13.39/2.61 ($true = ((eiw_di @ sK9 @ sK8))) | ~spl17_5),
% 13.39/2.61 inference(avatar_component_clause,[],[f274])).
% 13.39/2.61 thf(f277,plain,(
% 13.39/2.61 spl17_5 | spl17_2),
% 13.39/2.61 inference(avatar_split_clause,[],[f166,f259,f274])).
% 13.39/2.61 thf(f279,definition,(
% 13.39/2.61 spl17_6 <=> ($true = ((mrel @ sK8 @ sK10)))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition])).
% 13.39/2.61 thf(f281,plain,(
% 13.39/2.61 ($true = ((mrel @ sK8 @ sK10))) | ~spl17_6),
% 13.39/2.61 inference(avatar_component_clause,[],[f279])).
% 13.39/2.61 thf(f282,plain,(
% 13.39/2.61 spl17_6 | spl17_2),
% 13.39/2.61 inference(avatar_split_clause,[],[f170,f259,f279])).
% 13.39/2.61 thf(f284,definition,(
% 13.39/2.61 spl17_7 <=> ($true = ((eiw_di @ sK11 @ sK10)))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition])).
% 13.39/2.61 thf(f286,plain,(
% 13.39/2.61 ($true = ((eiw_di @ sK11 @ sK10))) | ~spl17_7),
% 13.39/2.61 inference(avatar_component_clause,[],[f284])).
% 13.39/2.61 thf(f287,plain,(
% 13.39/2.61 spl17_2 | spl17_7),
% 13.39/2.61 inference(avatar_split_clause,[],[f174,f284,f259])).
% 13.39/2.61 thf(f289,definition,(
% 13.39/2.61 spl17_8 <=> ($true = ((mrel @ sK10 @ sK12)))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition])).
% 13.39/2.61 thf(f291,plain,(
% 13.39/2.61 ($true = ((mrel @ sK10 @ sK12))) | ~spl17_8),
% 13.39/2.61 inference(avatar_component_clause,[],[f289])).
% 13.39/2.61 thf(f292,plain,(
% 13.39/2.61 spl17_2 | spl17_8),
% 13.39/2.61 inference(avatar_split_clause,[],[f178,f289,f259])).
% 13.39/2.61 thf(f294,definition,(
% 13.39/2.61 spl17_9 <=> ! [X1 : mworld] : ((((member @ sK7 @ sK9 @ X1)) = $true) | ($false = ((mrel @ sK12 @ X1))))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition])).
% 13.39/2.61 thf(f295,plain,(
% 13.39/2.61 ( ! [X1 : mworld] : ((((member @ sK7 @ sK9 @ X1)) = $true) | ($false = ((mrel @ sK12 @ X1)))) ) | ~spl17_9),
% 13.39/2.61 inference(avatar_component_clause,[],[f294])).
% 13.39/2.61 thf(f296,plain,(
% 13.39/2.61 spl17_9 | spl17_2),
% 13.39/2.61 inference(avatar_split_clause,[],[f185,f259,f294])).
% 13.39/2.61 thf(f298,definition,(
% 13.39/2.61 spl17_10 <=> ! [X1 : mworld] : (($false = ((mrel @ sK12 @ X1))) | (((member @ sK7 @ sK11 @ X1)) = $true))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition])).
% 13.39/2.61 thf(f299,plain,(
% 13.39/2.61 ( ! [X1 : mworld] : ((((member @ sK7 @ sK11 @ X1)) = $true) | ($false = ((mrel @ sK12 @ X1)))) ) | ~spl17_10),
% 13.39/2.61 inference(avatar_component_clause,[],[f298])).
% 13.39/2.61 thf(f300,plain,(
% 13.39/2.61 spl17_10 | spl17_2),
% 13.39/2.61 inference(avatar_split_clause,[],[f188,f259,f298])).
% 13.39/2.61 thf(f302,definition,(
% 13.39/2.61 spl17_11 <=> (((mrel @ sK12 @ sK13)) = $true)),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition])).
% 13.39/2.61 thf(f304,plain,(
% 13.39/2.61 (((mrel @ sK12 @ sK13)) = $true) | ~spl17_11),
% 13.39/2.61 inference(avatar_component_clause,[],[f302])).
% 13.39/2.61 thf(f305,plain,(
% 13.39/2.61 spl17_11 | spl17_2),
% 13.39/2.61 inference(avatar_split_clause,[],[f192,f259,f302])).
% 13.39/2.61 thf(f307,definition,(
% 13.39/2.61 spl17_12 <=> ($false = ((intersect @ sK9 @ sK11 @ sK13)))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition])).
% 13.39/2.61 thf(f309,plain,(
% 13.39/2.61 ($false = ((intersect @ sK9 @ sK11 @ sK13))) | ~spl17_12),
% 13.39/2.61 inference(avatar_component_clause,[],[f307])).
% 13.39/2.61 thf(f310,plain,(
% 13.39/2.61 spl17_12 | spl17_2),
% 13.39/2.61 inference(avatar_split_clause,[],[f191,f259,f307])).
% 13.39/2.61 thf(f331,plain,(
% 13.39/2.61 ~spl17_2),
% 13.39/2.61 inference(avatar_split_clause,[],[f84,f259])).
% 13.39/2.61 thf(f364,plain,(
% 13.39/2.61 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : $i,X4 : mworld] : (($false = ((mrel @ X4 @ X0))) | (((eiw_di @ X1 @ X4)) = $false) | (((intersect @ sK9 @ X1 @ X2)) = $true) | (((mrel @ sK12 @ (sK5 @ X0 @ sK9 @ sK7))) = $false) | ($false = ((mrel @ X3 @ X4))) | (((mrel @ X0 @ (sK4 @ X0 @ X1 @ sK7))) = $true) | ($false = ((eiw_di @ sK9 @ X3))) | ($false = ((eiw_di @ sK7 @ X0))) | (((mrel @ X0 @ X2)) = $false) | ($false = $true) | ($false = ((mrel @ mactual @ X3)))) ) | ~spl17_9),
% 13.39/2.61 inference(constrained_superposition,[],[f144,f295])).
% 13.39/2.61 thf(f373,plain,(
% 13.39/2.61 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : $i,X4 : mworld] : ((((mrel @ sK12 @ (sK5 @ X0 @ sK9 @ sK7))) = $false) | ($false = ((mrel @ X3 @ X4))) | ($false = ((mrel @ mactual @ X3))) | ($false = ((eiw_di @ sK9 @ X3))) | (((mrel @ X0 @ X2)) = $false) | ($false = ((eiw_di @ sK7 @ X0))) | ($false = ((mrel @ X4 @ X0))) | (((eiw_di @ X1 @ X4)) = $false) | (((mrel @ X0 @ (sK4 @ X0 @ X1 @ sK7))) = $true) | (((intersect @ sK9 @ X1 @ X2)) = $true)) ) | ~spl17_9),
% 13.39/2.61 inference(trivial_inequality_removal,[],[f364])).
% 13.39/2.61 thf(f389,plain,(
% 13.39/2.61 ( ! [X2 : mworld,X3 : $i,X0 : mworld,X1 : mworld,X6 : mworld,X7 : $i,X4 : mworld,X5 : mworld] : ((((mrel @ sK12 @ (sK4 @ sK12 @ X3 @ sK7))) = $true) | (((mrel @ sK12 @ X6)) = $false) | ($false = $true) | (((mrel @ X0 @ X2)) = $false) | ($false = ((mrel @ mactual @ X4))) | (((mrel @ X5 @ sK12)) = $false) | (((mrel @ mactual @ X0)) = $false) | ($false = ((eiw_di @ X3 @ X2))) | (((intersect @ sK9 @ X7 @ X6)) = $true) | ($true = ((intersect @ sK9 @ X3 @ X1))) | (((eiw_di @ sK9 @ X4)) = $false) | ($false = ((mrel @ X4 @ X5))) | (((eiw_di @ sK7 @ sK12)) = $false) | ($false = ((eiw_di @ X7 @ X5))) | ($false = ((mrel @ sK12 @ X1))) | ($false = ((mrel @ X2 @ sK12))) | (((eiw_di @ sK9 @ X0)) = $false) | (((mrel @ sK12 @ (sK4 @ sK12 @ X7 @ sK7))) = $true) | (((eiw_di @ sK7 @ sK12)) = $false)) ) | ~spl17_9),
% 13.39/2.61 inference(constrained_superposition,[],[f145,f373])).
% 13.39/2.61 thf(f400,plain,(
% 13.39/2.61 ( ! [X2 : mworld,X3 : $i,X0 : mworld,X1 : mworld,X6 : mworld,X7 : $i,X4 : mworld,X5 : mworld] : (($true = ((intersect @ sK9 @ X3 @ X1))) | (((mrel @ sK12 @ (sK4 @ sK12 @ X7 @ sK7))) = $true) | (((eiw_di @ sK7 @ sK12)) = $false) | ($false = ((eiw_di @ X3 @ X2))) | (((mrel @ sK12 @ (sK4 @ sK12 @ X3 @ sK7))) = $true) | ($false = ((mrel @ mactual @ X4))) | (((intersect @ sK9 @ X7 @ X6)) = $true) | ($false = ((mrel @ X2 @ sK12))) | ($false = $true) | (((mrel @ X0 @ X2)) = $false) | (((eiw_di @ sK9 @ X0)) = $false) | ($false = ((eiw_di @ X7 @ X5))) | (((mrel @ sK12 @ X6)) = $false) | ($false = ((mrel @ sK12 @ X1))) | (((mrel @ mactual @ X0)) = $false) | (((eiw_di @ sK9 @ X4)) = $false) | (((mrel @ X5 @ sK12)) = $false) | ($false = ((mrel @ X4 @ X5)))) ) | ~spl17_9),
% 13.39/2.61 inference(duplicate_literal_removal,[],[f389])).
% 13.39/2.61 thf(f401,plain,(
% 13.39/2.61 ( ! [X2 : mworld,X3 : $i,X0 : mworld,X1 : mworld,X6 : mworld,X7 : $i,X4 : mworld,X5 : mworld] : ((((mrel @ mactual @ X0)) = $false) | (((mrel @ sK12 @ (sK4 @ sK12 @ X3 @ sK7))) = $true) | ($false = ((mrel @ mactual @ X4))) | (((intersect @ sK9 @ X7 @ X6)) = $true) | (((mrel @ sK12 @ X6)) = $false) | (((eiw_di @ sK7 @ sK12)) = $false) | ($false = ((mrel @ sK12 @ X1))) | (((mrel @ sK12 @ (sK4 @ sK12 @ X7 @ sK7))) = $true) | (((mrel @ X0 @ X2)) = $false) | ($false = ((eiw_di @ X7 @ X5))) | ($true = ((intersect @ sK9 @ X3 @ X1))) | (((eiw_di @ sK9 @ X0)) = $false) | ($false = ((mrel @ X4 @ X5))) | ($false = ((eiw_di @ X3 @ X2))) | (((eiw_di @ sK9 @ X4)) = $false) | (((mrel @ X5 @ sK12)) = $false) | ($false = ((mrel @ X2 @ sK12)))) ) | ~spl17_9),
% 13.39/2.61 inference(trivial_inequality_removal,[],[f400])).
% 13.39/2.61 thf(f406,definition,(
% 13.39/2.61 spl17_19 <=> (((eiw_di @ sK7 @ sK12)) = $false)),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_19])],[avatar_definition])).
% 13.39/2.61 thf(f407,plain,(
% 13.39/2.61 (((eiw_di @ sK7 @ sK12)) != $false) | spl17_19),
% 13.39/2.61 inference(avatar_component_clause,[],[f406])).
% 13.39/2.61 thf(f408,plain,(
% 13.39/2.61 (((eiw_di @ sK7 @ sK12)) = $false) | ~spl17_19),
% 13.39/2.61 inference(avatar_component_clause,[],[f406])).
% 13.39/2.61 thf(f415,definition,(
% 13.39/2.61 spl17_21 <=> ($false = ((mrel @ mactual @ sK12)))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_21])],[avatar_definition])).
% 13.39/2.61 thf(f416,plain,(
% 13.39/2.61 ($false != ((mrel @ mactual @ sK12))) | spl17_21),
% 13.39/2.61 inference(avatar_component_clause,[],[f415])).
% 13.39/2.61 thf(f417,plain,(
% 13.39/2.61 ($false = ((mrel @ mactual @ sK12))) | ~spl17_21),
% 13.39/2.61 inference(avatar_component_clause,[],[f415])).
% 13.39/2.61 thf(f419,definition,(
% 13.39/2.61 spl17_22 <=> ($false = ((eiw_di @ sK9 @ sK12)))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_22])],[avatar_definition])).
% 13.39/2.61 thf(f420,plain,(
% 13.39/2.61 ($false != ((eiw_di @ sK9 @ sK12))) | spl17_22),
% 13.39/2.61 inference(avatar_component_clause,[],[f419])).
% 13.39/2.61 thf(f421,plain,(
% 13.39/2.61 ($false = ((eiw_di @ sK9 @ sK12))) | ~spl17_22),
% 13.39/2.61 inference(avatar_component_clause,[],[f419])).
% 13.39/2.61 thf(f427,definition,(
% 13.39/2.61 spl17_24 <=> ! [X0 : mworld,X3 : $i,X2 : mworld,X1 : mworld] : ((((mrel @ sK12 @ (sK4 @ sK12 @ X3 @ sK7))) = $true) | (((mrel @ mactual @ X0)) = $false) | ($false = ((mrel @ X1 @ sK12))) | ($false = ((eiw_di @ X3 @ X1))) | (((intersect @ sK9 @ X3 @ X2)) = $true) | ($false = ((mrel @ sK12 @ X2))) | (((eiw_di @ sK9 @ X0)) = $false) | (((mrel @ X0 @ X1)) = $false))),
% 13.39/2.61 introduced(definition,[new_symbols(definition,[spl17_24])],[avatar_definition])).
% 13.39/2.61 thf(f428,plain,(
% 13.39/2.61 ( ! [X2 : mworld,X3 : $i,X0 : mworld,X1 : mworld] : ((((mrel @ sK12 @ (sK4 @ sK12 @ X3 @ sK7))) = $true) | ($false = ((mrel @ X1 @ sK12))) | (((intersect @ sK9 @ X3 @ X2)) = $true) | ($false = ((eiw_di @ X3 @ X1))) | (((mrel @ X0 @ X1)) = $false) | (((mrel @ mactual @ X0)) = $false) | ($false = ((mrel @ sK12 @ X2))) | (((eiw_di @ sK9 @ X0)) = $false)) ) | ~spl17_24),
% 13.39/2.61 inference(avatar_component_clause,[],[f427])).
% 13.39/2.61 thf(f430,plain,(
% 13.39/2.61 spl17_24 | spl17_24 | spl17_19 | ~spl17_9),
% 13.39/2.61 inference(avatar_split_clause,[],[f401,f294,f406,f427,f427])).
% 13.39/2.61 thf(f431,plain,(
% 13.39/2.61 ( ! [X0 : mworld] : (($false = $true) | ($true != ((eiw_di @ sK7 @ X0))) | (((mrel @ X0 @ sK12)) != $true)) ) | ~spl17_19),
% 13.39/2.61 inference(constrained_superposition,[],[f408,f76])).
% 13.39/2.61 thf(f434,plain,(
% 13.39/2.61 ( ! [X0 : mworld] : (($true != ((eiw_di @ sK7 @ X0))) | (((mrel @ X0 @ sK12)) != $true)) ) | ~spl17_19),
% 13.39/2.61 inference(trivial_inequality_removal,[],[f431])).
% 13.39/2.61 thf(f437,plain,(
% 13.39/2.61 ( ! [X0 : mworld] : ((((mrel @ X0 @ mactual)) != $true) | (((mrel @ X0 @ sK12)) != $true) | ($false = $true)) ) | ~spl17_21),
% 13.39/2.61 inference(constrained_superposition,[],[f417,f74])).
% 13.39/2.61 thf(f440,plain,(
% 13.39/2.61 ( ! [X0 : mworld] : ((((mrel @ X0 @ sK12)) != $true) | (((mrel @ X0 @ mactual)) != $true)) ) | ~spl17_21),
% 13.39/2.61 inference(trivial_inequality_removal,[],[f437])).
% 13.39/2.61 thf(f443,plain,(
% 13.39/2.61 (((mrel @ sK6 @ sK12)) != $true) | ($true != $true) | (~spl17_3 | ~spl17_19)),
% 13.39/2.61 inference(constrained_superposition,[],[f434,f266])).
% 13.39/2.61 thf(f448,plain,(
% 13.39/2.61 (((mrel @ sK6 @ sK12)) != $true) | (~spl17_3 | ~spl17_19)),
% 13.39/2.61 inference(trivial_inequality_removal,[],[f443])).
% 13.39/2.61 thf(f450,plain,(
% 13.39/2.61 ( ! [X0 : mworld] : ((((mrel @ X0 @ sK12)) != $true) | (((mrel @ X0 @ sK6)) != $true) | ($true != $true)) ) | (~spl17_3 | ~spl17_19)),
% 13.39/2.61 inference(constrained_superposition,[],[f448,f74])).
% 13.39/2.61 thf(f453,plain,(
% 13.39/2.61 ( ! [X0 : mworld] : ((((mrel @ X0 @ sK12)) != $true) | (((mrel @ X0 @ sK6)) != $true)) ) | (~spl17_3 | ~spl17_19)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f450])).
% 13.39/2.62 thf(f465,plain,(
% 13.39/2.62 ($true != $true) | (((mrel @ sK10 @ mactual)) != $true) | (~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(constrained_superposition,[],[f440,f291])).
% 13.39/2.62 thf(f468,plain,(
% 13.39/2.62 (((mrel @ sK10 @ mactual)) != $true) | (~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f465])).
% 13.39/2.62 thf(f483,plain,(
% 13.39/2.62 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : $i,X4 : mworld] : (($false = ((mrel @ mactual @ X2))) | ($false = ((eiw_di @ sK7 @ X0))) | (((mrel @ X2 @ X3)) = $false) | ($true = ((mrel @ X0 @ (sK5 @ X0 @ X1 @ sK7)))) | ($false = ((eiw_di @ X1 @ X2))) | ($false = ((mrel @ X0 @ X4))) | ($false = $true) | (((eiw_di @ sK11 @ X3)) = $false) | (((mrel @ sK12 @ (sK4 @ X0 @ sK11 @ sK7))) = $false) | ($false = ((mrel @ X3 @ X0))) | (((intersect @ X1 @ sK11 @ X4)) = $true)) ) | ~spl17_10),
% 13.39/2.62 inference(constrained_superposition,[],[f299,f147])).
% 13.39/2.62 thf(f489,plain,(
% 13.39/2.62 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : $i,X4 : mworld] : (($true = ((mrel @ X0 @ (sK5 @ X0 @ X1 @ sK7)))) | (((eiw_di @ sK11 @ X3)) = $false) | ($false = ((mrel @ X3 @ X0))) | ($false = ((mrel @ X0 @ X4))) | ($false = ((mrel @ mactual @ X2))) | (((mrel @ X2 @ X3)) = $false) | (((mrel @ sK12 @ (sK4 @ X0 @ sK11 @ sK7))) = $false) | (((intersect @ X1 @ sK11 @ X4)) = $true) | ($false = ((eiw_di @ sK7 @ X0))) | ($false = ((eiw_di @ X1 @ X2)))) ) | ~spl17_10),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f483])).
% 13.39/2.62 thf(f501,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : (($true != $true) | (((mrel @ X0 @ sK10)) != $true) | (((mrel @ X0 @ mactual)) != $true)) ) | (~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(constrained_superposition,[],[f468,f74])).
% 13.39/2.62 thf(f503,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : ((((mrel @ X0 @ sK10)) != $true) | (((mrel @ X0 @ mactual)) != $true)) ) | (~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f501])).
% 13.39/2.62 thf(f553,plain,(
% 13.39/2.62 ($true != ((mrel @ sK10 @ sK6))) | ($true != $true) | (~spl17_3 | ~spl17_8 | ~spl17_19)),
% 13.39/2.62 inference(constrained_superposition,[],[f453,f291])).
% 13.39/2.62 thf(f556,plain,(
% 13.39/2.62 ($true != ((mrel @ sK10 @ sK6))) | (~spl17_3 | ~spl17_8 | ~spl17_19)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f553])).
% 13.39/2.62 thf(f564,plain,(
% 13.39/2.62 ( ! [X2 : $i,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld] : ((((intersect @ X2 @ sK11 @ X1)) = $true) | ($false = $true) | ($false = ((mrel @ X3 @ X4))) | ($false = ((mrel @ mactual @ X3))) | (((eiw_di @ X2 @ X3)) = $false) | ($false = ((eiw_di @ sK11 @ X4))) | (((member @ sK7 @ X2 @ (sK5 @ X0 @ X2 @ sK7))) = $false) | (((mrel @ sK12 @ (sK4 @ X0 @ sK11 @ sK7))) = $false) | (((mrel @ X0 @ X1)) = $false) | ($false = ((eiw_di @ sK7 @ X0))) | ($false = ((mrel @ X4 @ X0)))) ) | ~spl17_10),
% 13.39/2.62 inference(constrained_superposition,[],[f146,f299])).
% 13.39/2.62 thf(f573,plain,(
% 13.39/2.62 ( ! [X2 : $i,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld] : ((((member @ sK7 @ X2 @ (sK5 @ X0 @ X2 @ sK7))) = $false) | (((mrel @ X0 @ X1)) = $false) | ($false = ((mrel @ X3 @ X4))) | (((intersect @ X2 @ sK11 @ X1)) = $true) | (((eiw_di @ X2 @ X3)) = $false) | (((mrel @ sK12 @ (sK4 @ X0 @ sK11 @ sK7))) = $false) | ($false = ((eiw_di @ sK7 @ X0))) | ($false = ((eiw_di @ sK11 @ X4))) | ($false = ((mrel @ X4 @ X0))) | ($false = ((mrel @ mactual @ X3)))) ) | ~spl17_10),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f564])).
% 13.39/2.62 thf(f589,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : ((((mrel @ X0 @ sK10)) != $true) | ($true != $true) | (((mrel @ X0 @ sK6)) != $true)) ) | (~spl17_3 | ~spl17_8 | ~spl17_19)),
% 13.39/2.62 inference(constrained_superposition,[],[f556,f74])).
% 13.39/2.62 thf(f592,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : ((((mrel @ X0 @ sK10)) != $true) | (((mrel @ X0 @ sK6)) != $true)) ) | (~spl17_3 | ~spl17_8 | ~spl17_19)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f589])).
% 13.39/2.62 thf(f609,plain,(
% 13.39/2.62 ($true != $true) | (((mrel @ sK8 @ mactual)) != $true) | (~spl17_6 | ~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(constrained_superposition,[],[f503,f281])).
% 13.39/2.62 thf(f613,plain,(
% 13.39/2.62 (((mrel @ sK8 @ mactual)) != $true) | (~spl17_6 | ~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f609])).
% 13.39/2.62 thf(f615,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : (($true != ((mrel @ X0 @ sK8))) | (((mrel @ X0 @ mactual)) != $true) | ($true != $true)) ) | (~spl17_6 | ~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(constrained_superposition,[],[f613,f74])).
% 13.39/2.62 thf(f617,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : (($true != ((mrel @ X0 @ sK8))) | (((mrel @ X0 @ mactual)) != $true)) ) | (~spl17_6 | ~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f615])).
% 13.39/2.62 thf(f668,plain,(
% 13.39/2.62 (((mrel @ sK8 @ sK6)) != $true) | ($true != $true) | (~spl17_3 | ~spl17_6 | ~spl17_8 | ~spl17_19)),
% 13.39/2.62 inference(constrained_superposition,[],[f592,f281])).
% 13.39/2.62 thf(f671,plain,(
% 13.39/2.62 (((mrel @ sK8 @ sK6)) != $true) | (~spl17_3 | ~spl17_6 | ~spl17_8 | ~spl17_19)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f668])).
% 13.39/2.62 thf(f674,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : (($true != $true) | (((mrel @ X0 @ sK6)) != $true) | ($true != ((mrel @ X0 @ sK8)))) ) | (~spl17_3 | ~spl17_6 | ~spl17_8 | ~spl17_19)),
% 13.39/2.62 inference(constrained_superposition,[],[f671,f74])).
% 13.39/2.62 thf(f677,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : (($true != ((mrel @ X0 @ sK8))) | (((mrel @ X0 @ sK6)) != $true)) ) | (~spl17_3 | ~spl17_6 | ~spl17_8 | ~spl17_19)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f674])).
% 13.39/2.62 thf(f692,plain,(
% 13.39/2.62 (((mrel @ sK6 @ mactual)) != $true) | ($true != $true) | (~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(constrained_superposition,[],[f617,f271])).
% 13.39/2.62 thf(f694,plain,(
% 13.39/2.62 (((mrel @ sK6 @ mactual)) != $true) | (~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f692])).
% 13.39/2.62 thf(f698,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : (($true != $true) | (((mrel @ X0 @ sK6)) != $true) | (((mrel @ X0 @ mactual)) != $true)) ) | (~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(constrained_superposition,[],[f694,f74])).
% 13.39/2.62 thf(f701,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : ((((mrel @ X0 @ sK6)) != $true) | (((mrel @ X0 @ mactual)) != $true)) ) | (~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f698])).
% 13.39/2.62 thf(f745,plain,(
% 13.39/2.62 ($true != ((mrel @ sK6 @ sK6))) | ($true != $true) | (~spl17_3 | ~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_19)),
% 13.39/2.62 inference(constrained_superposition,[],[f677,f271])).
% 13.39/2.62 thf(f750,plain,(
% 13.39/2.62 ($true != ((mrel @ sK6 @ sK6))) | (~spl17_3 | ~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_19)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f745])).
% 13.39/2.62 thf(f751,plain,(
% 13.39/2.62 $false | (~spl17_3 | ~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_19)),
% 13.39/2.62 inference(forward_subsumption_resolution,[],[f750,f72])).
% 13.39/2.62 thf(f752,plain,(
% 13.39/2.62 ~spl17_3 | ~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_19),
% 13.39/2.62 inference(avatar_contradiction_clause,[],[f751])).
% 13.39/2.62 thf(f757,plain,(
% 13.39/2.62 (((mrel @ mactual @ mactual)) != $true) | ($true != $true) | (~spl17_1 | ~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(constrained_superposition,[],[f701,f257])).
% 13.39/2.62 thf(f760,plain,(
% 13.39/2.62 (((mrel @ mactual @ mactual)) != $true) | (~spl17_1 | ~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f757])).
% 13.39/2.62 thf(f763,plain,(
% 13.39/2.62 $false | (~spl17_1 | ~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_21)),
% 13.39/2.62 inference(forward_subsumption_resolution,[],[f760,f72])).
% 13.39/2.62 thf(f764,plain,(
% 13.39/2.62 ~spl17_1 | ~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_21),
% 13.39/2.62 inference(avatar_contradiction_clause,[],[f763])).
% 13.39/2.62 thf(f767,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : (($false = $true) | (((mrel @ X0 @ sK12)) != $true) | (((eiw_di @ sK9 @ X0)) != $true)) ) | ~spl17_22),
% 13.39/2.62 inference(constrained_superposition,[],[f421,f76])).
% 13.39/2.62 thf(f770,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : ((((mrel @ X0 @ sK12)) != $true) | (((eiw_di @ sK9 @ X0)) != $true)) ) | ~spl17_22),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f767])).
% 13.39/2.62 thf(f775,plain,(
% 13.39/2.62 ($true != ((eiw_di @ sK9 @ sK10))) | ($true != $true) | (~spl17_8 | ~spl17_22)),
% 13.39/2.62 inference(constrained_superposition,[],[f770,f291])).
% 13.39/2.62 thf(f780,plain,(
% 13.39/2.62 ($true != ((eiw_di @ sK9 @ sK10))) | (~spl17_8 | ~spl17_22)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f775])).
% 13.39/2.62 thf(f782,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : ((((eiw_di @ sK9 @ X0)) != $true) | ($true != $true) | (((mrel @ X0 @ sK10)) != $true)) ) | (~spl17_8 | ~spl17_22)),
% 13.39/2.62 inference(constrained_superposition,[],[f780,f76])).
% 13.39/2.62 thf(f785,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : ((((mrel @ X0 @ sK10)) != $true) | (((eiw_di @ sK9 @ X0)) != $true)) ) | (~spl17_8 | ~spl17_22)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f782])).
% 13.39/2.62 thf(f826,plain,(
% 13.39/2.62 ($true != $true) | ($true != ((eiw_di @ sK9 @ sK8))) | (~spl17_6 | ~spl17_8 | ~spl17_22)),
% 13.39/2.62 inference(constrained_superposition,[],[f785,f281])).
% 13.39/2.62 thf(f831,plain,(
% 13.39/2.62 ($true != ((eiw_di @ sK9 @ sK8))) | (~spl17_6 | ~spl17_8 | ~spl17_22)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f826])).
% 13.39/2.62 thf(f832,plain,(
% 13.39/2.62 $false | (~spl17_5 | ~spl17_6 | ~spl17_8 | ~spl17_22)),
% 13.39/2.62 inference(forward_subsumption_resolution,[],[f831,f276])).
% 13.39/2.62 thf(f833,plain,(
% 13.39/2.62 ~spl17_5 | ~spl17_6 | ~spl17_8 | ~spl17_22),
% 13.39/2.62 inference(avatar_contradiction_clause,[],[f832])).
% 13.39/2.62 thf(f886,definition,(
% 13.39/2.62 spl17_29 <=> (((eiw_di @ sK11 @ sK12)) = $false)),
% 13.39/2.62 introduced(definition,[new_symbols(definition,[spl17_29])],[avatar_definition])).
% 13.39/2.62 thf(f887,plain,(
% 13.39/2.62 (((eiw_di @ sK11 @ sK12)) != $false) | spl17_29),
% 13.39/2.62 inference(avatar_component_clause,[],[f886])).
% 13.39/2.62 thf(f888,plain,(
% 13.39/2.62 (((eiw_di @ sK11 @ sK12)) = $false) | ~spl17_29),
% 13.39/2.62 inference(avatar_component_clause,[],[f886])).
% 13.39/2.62 thf(f947,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : (($true != ((eiw_di @ sK11 @ X0))) | ($false = $true) | (((mrel @ X0 @ sK12)) != $true)) ) | ~spl17_29),
% 13.39/2.62 inference(constrained_superposition,[],[f888,f76])).
% 13.39/2.62 thf(f950,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : (($true != ((eiw_di @ sK11 @ X0))) | (((mrel @ X0 @ sK12)) != $true)) ) | ~spl17_29),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f947])).
% 13.39/2.62 thf(f953,plain,(
% 13.39/2.62 ($true != ((mrel @ sK10 @ sK12))) | ($true != $true) | (~spl17_7 | ~spl17_29)),
% 13.39/2.62 inference(constrained_superposition,[],[f950,f286])).
% 13.39/2.62 thf(f959,plain,(
% 13.39/2.62 ($true != ((mrel @ sK10 @ sK12))) | (~spl17_7 | ~spl17_29)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f953])).
% 13.39/2.62 thf(f960,plain,(
% 13.39/2.62 $false | (~spl17_7 | ~spl17_8 | ~spl17_29)),
% 13.39/2.62 inference(forward_subsumption_resolution,[],[f959,f291])).
% 13.39/2.62 thf(f961,plain,(
% 13.39/2.62 ~spl17_7 | ~spl17_8 | ~spl17_29),
% 13.39/2.62 inference(avatar_contradiction_clause,[],[f960])).
% 13.39/2.62 thf(f4179,definition,(
% 13.39/2.62 spl17_56 <=> ! [X1 : mworld] : ((((intersect @ sK9 @ sK11 @ X1)) = $true) | ($false = ((mrel @ sK12 @ X1))))),
% 13.39/2.62 introduced(definition,[new_symbols(definition,[spl17_56])],[avatar_definition])).
% 13.39/2.62 thf(f4180,plain,(
% 13.39/2.62 ( ! [X1 : mworld] : ((((intersect @ sK9 @ sK11 @ X1)) = $true) | ($false = ((mrel @ sK12 @ X1)))) ) | ~spl17_56),
% 13.39/2.62 inference(avatar_component_clause,[],[f4179])).
% 13.39/2.62 thf(f4254,definition,(
% 13.39/2.62 spl17_63 <=> ($false = ((mrel @ sK12 @ mactual)))),
% 13.39/2.62 introduced(definition,[new_symbols(definition,[spl17_63])],[avatar_definition])).
% 13.39/2.62 thf(f4256,plain,(
% 13.39/2.62 ($false = ((mrel @ sK12 @ mactual))) | ~spl17_63),
% 13.39/2.62 inference(avatar_component_clause,[],[f4254])).
% 13.39/2.62 thf(f4356,plain,(
% 13.39/2.62 (((mrel @ sK12 @ sK13)) = $false) | ($false = $true) | (~spl17_12 | ~spl17_56)),
% 13.39/2.62 inference(constrained_superposition,[],[f4180,f309])).
% 13.39/2.62 thf(f4366,plain,(
% 13.39/2.62 (((mrel @ sK12 @ sK13)) = $false) | (~spl17_12 | ~spl17_56)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f4356])).
% 13.39/2.62 thf(f4371,plain,(
% 13.39/2.62 ($false = $true) | (~spl17_11 | ~spl17_12 | ~spl17_56)),
% 13.39/2.62 inference(forward_demodulation,[],[f4366,f304])).
% 13.39/2.62 thf(f4372,plain,(
% 13.39/2.62 $false | (~spl17_11 | ~spl17_12 | ~spl17_56)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f4371])).
% 13.39/2.62 thf(f4373,plain,(
% 13.39/2.62 ~spl17_11 | ~spl17_12 | ~spl17_56),
% 13.39/2.62 inference(avatar_contradiction_clause,[],[f4372])).
% 13.39/2.62 thf(f4605,plain,(
% 13.39/2.62 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld] : ((((intersect @ sK9 @ sK11 @ X1)) = $true) | ($false = $true) | ($false = ((mrel @ mactual @ X2))) | (((eiw_di @ sK11 @ X3)) = $false) | ($false = ((mrel @ X3 @ X0))) | ($false = ((eiw_di @ sK7 @ X0))) | (((mrel @ X0 @ X1)) = $false) | (((mrel @ X2 @ X3)) = $false) | ($false = ((eiw_di @ sK9 @ X2))) | (((mrel @ sK12 @ (sK5 @ X0 @ sK9 @ sK7))) = $false) | (((mrel @ sK12 @ (sK4 @ X0 @ sK11 @ sK7))) = $false)) ) | (~spl17_9 | ~spl17_10)),
% 13.39/2.62 inference(constrained_superposition,[],[f573,f295])).
% 13.39/2.62 thf(f4610,plain,(
% 13.39/2.62 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld] : ((((mrel @ sK12 @ (sK5 @ X0 @ sK9 @ sK7))) = $false) | ($false = ((eiw_di @ sK7 @ X0))) | (((mrel @ X2 @ X3)) = $false) | ($false = ((mrel @ mactual @ X2))) | (((eiw_di @ sK11 @ X3)) = $false) | ($false = ((mrel @ X3 @ X0))) | (((mrel @ sK12 @ (sK4 @ X0 @ sK11 @ sK7))) = $false) | (((intersect @ sK9 @ sK11 @ X1)) = $true) | ($false = ((eiw_di @ sK9 @ X2))) | (((mrel @ X0 @ X1)) = $false)) ) | (~spl17_9 | ~spl17_10)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f4605])).
% 13.39/2.62 thf(f4615,plain,(
% 13.39/2.62 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld,X5 : mworld] : (($false = ((mrel @ X3 @ sK12))) | ($true = ((intersect @ sK9 @ sK11 @ X2))) | ($false = ((eiw_di @ sK9 @ X5))) | ($false = ((mrel @ sK12 @ X4))) | ($false = $true) | ($false = ((mrel @ X1 @ sK12))) | (((mrel @ sK12 @ (sK4 @ sK12 @ sK11 @ sK7))) = $false) | (((mrel @ X0 @ X1)) = $false) | ($false = ((mrel @ mactual @ X5))) | ($false = ((mrel @ X5 @ X3))) | ($false = ((mrel @ sK12 @ X2))) | (((eiw_di @ sK7 @ sK12)) = $false) | (((eiw_di @ sK11 @ X3)) = $false) | (((mrel @ mactual @ X0)) = $false) | (((mrel @ sK12 @ (sK4 @ sK12 @ sK11 @ sK7))) = $false) | ($false = ((eiw_di @ sK11 @ X1))) | (((eiw_di @ sK9 @ X0)) = $false) | (((eiw_di @ sK7 @ sK12)) = $false) | (((intersect @ sK9 @ sK11 @ X4)) = $true)) ) | (~spl17_9 | ~spl17_10)),
% 13.39/2.62 inference(constrained_superposition,[],[f4610,f489])).
% 13.39/2.62 thf(f4637,plain,(
% 13.39/2.62 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld,X5 : mworld] : (($true = ((intersect @ sK9 @ sK11 @ X2))) | (((intersect @ sK9 @ sK11 @ X4)) = $true) | ($false = ((eiw_di @ sK11 @ X1))) | ($false = ((mrel @ X5 @ X3))) | ($false = ((mrel @ sK12 @ X4))) | (((eiw_di @ sK11 @ X3)) = $false) | ($false = ((mrel @ sK12 @ X2))) | (((eiw_di @ sK9 @ X0)) = $false) | ($false = ((mrel @ mactual @ X5))) | ($false = ((mrel @ X3 @ sK12))) | (((mrel @ sK12 @ (sK4 @ sK12 @ sK11 @ sK7))) = $false) | ($false = ((mrel @ X1 @ sK12))) | ($false = ((eiw_di @ sK9 @ X5))) | ($false = $true) | (((mrel @ X0 @ X1)) = $false) | (((eiw_di @ sK7 @ sK12)) = $false) | (((mrel @ mactual @ X0)) = $false)) ) | (~spl17_9 | ~spl17_10)),
% 13.39/2.62 inference(duplicate_literal_removal,[],[f4615])).
% 13.39/2.62 thf(f4638,plain,(
% 13.39/2.62 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld,X5 : mworld] : ((((mrel @ mactual @ X0)) = $false) | (((mrel @ X0 @ X1)) = $false) | (((intersect @ sK9 @ sK11 @ X4)) = $true) | (((mrel @ sK12 @ (sK4 @ sK12 @ sK11 @ sK7))) = $false) | (((eiw_di @ sK9 @ X0)) = $false) | ($false = ((eiw_di @ sK11 @ X1))) | ($false = ((mrel @ sK12 @ X2))) | ($false = ((eiw_di @ sK9 @ X5))) | ($false = ((mrel @ mactual @ X5))) | (((eiw_di @ sK7 @ sK12)) = $false) | ($false = ((mrel @ X1 @ sK12))) | ($false = ((mrel @ X5 @ X3))) | ($false = ((mrel @ sK12 @ X4))) | ($true = ((intersect @ sK9 @ sK11 @ X2))) | (((eiw_di @ sK11 @ X3)) = $false) | ($false = ((mrel @ X3 @ sK12)))) ) | (~spl17_9 | ~spl17_10)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f4637])).
% 13.39/2.62 thf(f4646,plain,(
% 13.39/2.62 ( ! [X2 : mworld,X3 : mworld,X0 : mworld,X1 : mworld,X4 : mworld,X5 : mworld] : (($false = ((mrel @ X1 @ sK12))) | ($false = ((eiw_di @ sK9 @ X5))) | ($false = ((mrel @ X5 @ X3))) | (((eiw_di @ sK11 @ X3)) = $false) | ($false = ((mrel @ mactual @ X5))) | ($false = ((eiw_di @ sK11 @ X1))) | (((mrel @ sK12 @ (sK4 @ sK12 @ sK11 @ sK7))) = $false) | ($false = ((mrel @ sK12 @ X4))) | ($false = ((mrel @ X3 @ sK12))) | (((mrel @ mactual @ X0)) = $false) | (((mrel @ X0 @ X1)) = $false) | ($false = ((mrel @ sK12 @ X2))) | ($true = ((intersect @ sK9 @ sK11 @ X2))) | (((intersect @ sK9 @ sK11 @ X4)) = $true) | (((eiw_di @ sK9 @ X0)) = $false)) ) | (~spl17_9 | ~spl17_10 | spl17_19)),
% 13.39/2.62 inference(forward_subsumption_resolution,[],[f4638,f407])).
% 13.39/2.62 thf(f4650,definition,(
% 13.39/2.62 spl17_82 <=> ! [X4 : mworld,X3 : mworld] : (($false = ((eiw_di @ sK9 @ X3))) | ($false = ((eiw_di @ sK11 @ X4))) | ($false = ((mrel @ X3 @ X4))) | ($false = ((mrel @ mactual @ X3))) | (((mrel @ X4 @ sK12)) = $false))),
% 13.39/2.62 introduced(definition,[new_symbols(definition,[spl17_82])],[avatar_definition])).
% 13.39/2.62 thf(f4651,plain,(
% 13.39/2.62 ( ! [X3 : mworld,X4 : mworld] : (($false = ((mrel @ mactual @ X3))) | (((mrel @ X4 @ sK12)) = $false) | ($false = ((eiw_di @ sK11 @ X4))) | ($false = ((mrel @ X3 @ X4))) | ($false = ((eiw_di @ sK9 @ X3)))) ) | ~spl17_82),
% 13.39/2.62 inference(avatar_component_clause,[],[f4650])).
% 13.39/2.62 thf(f4653,definition,(
% 13.39/2.62 spl17_83 <=> (((mrel @ sK12 @ (sK4 @ sK12 @ sK11 @ sK7))) = $false)),
% 13.39/2.62 introduced(definition,[new_symbols(definition,[spl17_83])],[avatar_definition])).
% 13.39/2.62 thf(f4655,plain,(
% 13.39/2.62 (((mrel @ sK12 @ (sK4 @ sK12 @ sK11 @ sK7))) = $false) | ~spl17_83),
% 13.39/2.62 inference(avatar_component_clause,[],[f4653])).
% 13.39/2.62 thf(f4659,plain,(
% 13.39/2.62 spl17_82 | spl17_83 | spl17_56 | spl17_56 | spl17_82 | ~spl17_9 | ~spl17_10 | spl17_19),
% 13.39/2.62 inference(avatar_split_clause,[],[f4646,f406,f298,f294,f4650,f4179,f4179,f4653,f4650])).
% 13.39/2.62 thf(f4703,plain,(
% 13.39/2.62 ($false = ((eiw_di @ sK11 @ mactual))) | ($false != $false) | ($false = ((mrel @ sK12 @ mactual))) | ($false = ((mrel @ mactual @ sK12))) | ($false = ((eiw_di @ sK9 @ sK12))) | ~spl17_82),
% 13.39/2.62 inference(equality_factoring,[],[f4651])).
% 13.39/2.62 thf(f4709,plain,(
% 13.39/2.62 ($false = ((mrel @ mactual @ sK12))) | ($false = ((eiw_di @ sK11 @ mactual))) | ($false = ((mrel @ sK12 @ mactual))) | ($false = ((eiw_di @ sK9 @ sK12))) | ~spl17_82),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f4703])).
% 13.39/2.62 thf(f4744,plain,(
% 13.39/2.62 ($false = ((eiw_di @ sK9 @ sK12))) | ($false = ((eiw_di @ sK11 @ mactual))) | ($false = ((mrel @ sK12 @ mactual))) | (spl17_21 | ~spl17_82)),
% 13.39/2.62 inference(forward_subsumption_resolution,[],[f4709,f416])).
% 13.39/2.62 thf(f4767,plain,(
% 13.39/2.62 ($false = ((eiw_di @ sK11 @ mactual))) | ($false = ((mrel @ sK12 @ mactual))) | (spl17_21 | spl17_22 | ~spl17_82)),
% 13.39/2.62 inference(forward_subsumption_resolution,[],[f4744,f420])).
% 13.39/2.62 thf(f4771,definition,(
% 13.39/2.62 spl17_90 <=> ($false = ((eiw_di @ sK11 @ mactual)))),
% 13.39/2.62 introduced(definition,[new_symbols(definition,[spl17_90])],[avatar_definition])).
% 13.39/2.62 thf(f4773,plain,(
% 13.39/2.62 ($false = ((eiw_di @ sK11 @ mactual))) | ~spl17_90),
% 13.39/2.62 inference(avatar_component_clause,[],[f4771])).
% 13.39/2.62 thf(f4774,plain,(
% 13.39/2.62 spl17_63 | spl17_90 | spl17_21 | spl17_22 | ~spl17_82),
% 13.39/2.62 inference(avatar_split_clause,[],[f4767,f4650,f419,f415,f4771,f4254])).
% 13.39/2.62 thf(f4778,plain,(
% 13.39/2.62 ( ! [X2 : mworld,X0 : mworld,X1 : mworld] : ((((intersect @ sK9 @ sK11 @ X1)) = $true) | ($false = ((mrel @ mactual @ X2))) | ($false = ((mrel @ X2 @ X0))) | ($false = ((mrel @ X0 @ sK12))) | ($false = ((mrel @ sK12 @ X1))) | ($false = ((eiw_di @ sK9 @ X2))) | ($false = $true) | ($false = ((eiw_di @ sK11 @ X0)))) ) | (~spl17_24 | ~spl17_83)),
% 13.39/2.62 inference(constrained_superposition,[],[f4655,f428])).
% 13.39/2.62 thf(f4790,plain,(
% 13.39/2.62 ( ! [X2 : mworld,X0 : mworld,X1 : mworld] : ((((intersect @ sK9 @ sK11 @ X1)) = $true) | ($false = ((eiw_di @ sK11 @ X0))) | ($false = ((mrel @ X2 @ X0))) | ($false = ((mrel @ X0 @ sK12))) | ($false = ((mrel @ mactual @ X2))) | ($false = ((eiw_di @ sK9 @ X2))) | ($false = ((mrel @ sK12 @ X1)))) ) | (~spl17_24 | ~spl17_83)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f4778])).
% 13.39/2.62 thf(f4802,plain,(
% 13.39/2.62 spl17_56 | spl17_82 | ~spl17_24 | ~spl17_83),
% 13.39/2.62 inference(avatar_split_clause,[],[f4790,f4653,f427,f4650,f4179])).
% 13.39/2.62 thf(f4811,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : ((((mrel @ X0 @ mactual)) != $true) | ($true != ((eiw_di @ sK11 @ X0))) | ($false = $true)) ) | ~spl17_90),
% 13.39/2.62 inference(constrained_superposition,[],[f76,f4773])).
% 13.39/2.62 thf(f4812,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : (($true != ((eiw_di @ sK11 @ X0))) | (((mrel @ X0 @ mactual)) != $true)) ) | ~spl17_90),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f4811])).
% 13.39/2.62 thf(f4837,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : ((((mrel @ X0 @ mactual)) != $true) | ($false = ((eiw_di @ sK11 @ X0))) | ($true != $true)) ) | ~spl17_90),
% 13.39/2.62 inference(constrained_superposition,[],[f4812,f78])).
% 13.39/2.62 thf(f4840,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : (($false = ((eiw_di @ sK11 @ X0))) | (((mrel @ X0 @ mactual)) != $true)) ) | ~spl17_90),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f4837])).
% 13.39/2.62 thf(f4857,plain,(
% 13.39/2.62 ($false != $false) | (((mrel @ sK12 @ mactual)) != $true) | (spl17_29 | ~spl17_90)),
% 13.39/2.62 inference(constrained_superposition,[],[f887,f4840])).
% 13.39/2.62 thf(f4860,plain,(
% 13.39/2.62 (((mrel @ sK12 @ mactual)) != $true) | (spl17_29 | ~spl17_90)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f4857])).
% 13.39/2.62 thf(f4867,plain,(
% 13.39/2.62 ($true != $true) | ($false = ((mrel @ sK12 @ mactual))) | (spl17_29 | ~spl17_90)),
% 13.39/2.62 inference(constrained_superposition,[],[f4860,f78])).
% 13.39/2.62 thf(f4869,plain,(
% 13.39/2.62 ($false = ((mrel @ sK12 @ mactual))) | (spl17_29 | ~spl17_90)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f4867])).
% 13.39/2.62 thf(f4870,plain,(
% 13.39/2.62 spl17_63 | spl17_29 | ~spl17_90),
% 13.39/2.62 inference(avatar_split_clause,[],[f4869,f4771,f886,f4254])).
% 13.39/2.62 thf(f4873,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : ((((mrel @ X0 @ sK12)) != $true) | ($false = $true) | (((mrel @ X0 @ mactual)) != $true)) ) | ~spl17_63),
% 13.39/2.62 inference(constrained_superposition,[],[f74,f4256])).
% 13.39/2.62 thf(f4875,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : ((((mrel @ X0 @ sK12)) != $true) | (((mrel @ X0 @ mactual)) != $true)) ) | ~spl17_63),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f4873])).
% 13.39/2.62 thf(f4890,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : ((((mrel @ X0 @ mactual)) != $true) | ($true != $true) | ($false = ((mrel @ X0 @ sK12)))) ) | ~spl17_63),
% 13.39/2.62 inference(constrained_superposition,[],[f4875,f78])).
% 13.39/2.62 thf(f4894,plain,(
% 13.39/2.62 ( ! [X0 : mworld] : (($false = ((mrel @ X0 @ sK12))) | (((mrel @ X0 @ mactual)) != $true)) ) | ~spl17_63),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f4890])).
% 13.39/2.62 thf(f5006,plain,(
% 13.39/2.62 ($false != $false) | (((mrel @ mactual @ mactual)) != $true) | (spl17_21 | ~spl17_63)),
% 13.39/2.62 inference(constrained_superposition,[],[f416,f4894])).
% 13.39/2.62 thf(f5018,plain,(
% 13.39/2.62 (((mrel @ mactual @ mactual)) != $true) | (spl17_21 | ~spl17_63)),
% 13.39/2.62 inference(trivial_inequality_removal,[],[f5006])).
% 13.39/2.62 thf(f5021,plain,(
% 13.39/2.62 $false | (spl17_21 | ~spl17_63)),
% 13.39/2.62 inference(forward_subsumption_resolution,[],[f5018,f72])).
% 13.39/2.62 thf(f5022,plain,(
% 13.39/2.62 spl17_21 | ~spl17_63),
% 13.39/2.62 inference(avatar_contradiction_clause,[],[f5021])).
% 13.39/2.62 cnf(s1, plain, spl17_1 | spl17_2, inference(sat_conversion,[],[f262])).
% 13.39/2.62 cnf(s2, plain, spl17_2 | spl17_3, inference(sat_conversion,[],[f267])).
% 13.39/2.62 cnf(s3, plain, spl17_2 | spl17_4, inference(sat_conversion,[],[f272])).
% 13.39/2.62 cnf(s4, plain, spl17_2 | spl17_5, inference(sat_conversion,[],[f277])).
% 13.39/2.62 cnf(s5, plain, spl17_2 | spl17_6, inference(sat_conversion,[],[f282])).
% 13.39/2.62 cnf(s6, plain, spl17_2 | spl17_7, inference(sat_conversion,[],[f287])).
% 13.39/2.62 cnf(s7, plain, spl17_2 | spl17_8, inference(sat_conversion,[],[f292])).
% 13.39/2.62 cnf(s8, plain, spl17_2 | spl17_9, inference(sat_conversion,[],[f296])).
% 13.39/2.62 cnf(s9, plain, spl17_2 | spl17_10, inference(sat_conversion,[],[f300])).
% 13.39/2.62 cnf(s10, plain, spl17_2 | spl17_11, inference(sat_conversion,[],[f305])).
% 13.39/2.62 cnf(s11, plain, spl17_2 | spl17_12, inference(sat_conversion,[],[f310])).
% 13.39/2.62 cnf(s16, plain, ~spl17_2, inference(sat_conversion,[],[f331])).
% 13.39/2.62 cnf(s22, plain, spl17_24 | spl17_19 | ~spl17_9 | spl17_24, inference(sat_conversion,[],[f430])).
% 13.39/2.62 cnf(s23, plain, ~spl17_9 | spl17_19 | spl17_24, inference(rat,[],[s22])).
% 13.39/2.62 cnf(s24, plain, ~spl17_3 | ~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_19, inference(sat_conversion,[],[f752])).
% 13.39/2.62 cnf(s25, plain, ~spl17_1 | ~spl17_4 | ~spl17_6 | ~spl17_8 | ~spl17_21, inference(sat_conversion,[],[f764])).
% 13.39/2.62 cnf(s26, plain, ~spl17_5 | ~spl17_6 | ~spl17_8 | ~spl17_22, inference(sat_conversion,[],[f833])).
% 13.39/2.62 cnf(s35, plain, ~spl17_7 | ~spl17_8 | ~spl17_29, inference(sat_conversion,[],[f961])).
% 13.39/2.62 cnf(s130, plain, ~spl17_11 | ~spl17_12 | ~spl17_56, inference(sat_conversion,[],[f4373])).
% 13.39/2.62 cnf(s147, plain, spl17_56 | spl17_82 | spl17_19 | ~spl17_9 | spl17_56 | ~spl17_10 | spl17_82 | spl17_83, inference(sat_conversion,[],[f4659])).
% 13.39/2.62 cnf(s148, plain, ~spl17_9 | ~spl17_10 | spl17_19 | spl17_56 | spl17_82 | spl17_83, inference(rat,[],[s147])).
% 13.39/2.62 cnf(s160, plain, spl17_21 | spl17_22 | spl17_63 | ~spl17_82 | spl17_90, inference(sat_conversion,[],[f4774])).
% 13.39/2.62 cnf(s164, plain, ~spl17_24 | spl17_56 | spl17_82 | ~spl17_83, inference(sat_conversion,[],[f4802])).
% 13.39/2.62 cnf(s168, plain, spl17_29 | spl17_63 | ~spl17_90, inference(sat_conversion,[],[f4870])).
% 13.39/2.62 cnf(s169, plain, spl17_21 | ~spl17_63, inference(sat_conversion,[],[f5022])).
% 13.39/2.62 cnf(s171, plain, spl17_12, inference(rat,[],[s11,s16])).
% 13.39/2.62 cnf(s172, plain, spl17_11, inference(rat,[],[s10,s16])).
% 13.39/2.62 cnf(s173, plain, ~spl17_56, inference(rat,[],[s130,s171,s172])).
% 13.39/2.62 cnf(s174, plain, spl17_10, inference(rat,[],[s9,s16])).
% 13.39/2.62 cnf(s175, plain, spl17_9, inference(rat,[],[s8,s16])).
% 13.39/2.62 cnf(s176, plain, spl17_8, inference(rat,[],[s7,s16])).
% 13.39/2.62 cnf(s177, plain, spl17_7, inference(rat,[],[s6,s16])).
% 13.39/2.62 cnf(s178, plain, ~spl17_29, inference(rat,[],[s35,s176,s177])).
% 13.39/2.62 cnf(s179, plain, spl17_6, inference(rat,[],[s5,s16])).
% 13.39/2.62 cnf(s180, plain, spl17_5, inference(rat,[],[s4,s16])).
% 13.39/2.62 cnf(s181, plain, ~spl17_22, inference(rat,[],[s26,s179,s176,s180])).
% 13.39/2.62 cnf(s182, plain, spl17_4, inference(rat,[],[s3,s16])).
% 13.39/2.62 cnf(s183, plain, spl17_3, inference(rat,[],[s2,s16])).
% 13.39/2.62 cnf(s184, plain, ~spl17_19, inference(rat,[],[s24,s182,s176,s179,s183])).
% 13.39/2.62 cnf(s186, plain, spl17_24, inference(rat,[],[s23,s175,s184])).
% 13.39/2.62 cnf(s187, plain, spl17_1, inference(rat,[],[s1,s16])).
% 13.39/2.62 cnf(s188, plain, ~spl17_21, inference(rat,[],[s25,s182,s176,s179,s187])).
% 13.39/2.62 cnf(s189, plain, ~spl17_63, inference(rat,[],[s169,s188])).
% 13.39/2.62 cnf(s193, plain, ~spl17_90, inference(rat,[],[s168,s178,s189])).
% 13.39/2.62 cnf(s194, plain, ~spl17_82, inference(rat,[],[s160,s193,s188,s181,s189])).
% 13.39/2.62 cnf(s196, plain, ~spl17_83, inference(rat,[],[s164,s186,s173,s194])).
% 13.39/2.62 cnf(s197, plain, $false, inference(rat,[],[s148,s184,s175,s173,s174,s196,s194])).
% 13.39/2.62 thf(f5023,plain,(
% 13.39/2.62 $false),
% 13.39/2.62 inference(avatar_sat_refutation,[],[s197])).
% 13.39/2.62 % SZS output end Proof for theBenchmark
% 13.39/2.62 % (554374)------------------------------
% 13.39/2.62 % (554374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.39/2.62 % (554374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.62 % (554374)CaDiCaL version: 2.1.3
% 13.39/2.62 % (554374)Termination reason: Refutation
% 13.39/2.62 % (554374)Time elapsed: 0.550 s
% 13.39/2.62 % (554374)Peak memory usage: 15 MB
% 13.39/2.62 % (554374)Instructions burned: 1392 (million)
% 13.39/2.62 % (554195)Success in time 2.249 s
% 13.39/2.62 % Vampire exiting
%------------------------------------------------------------------------------