%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU558^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:30:03 AM UTC 2026
% Result : Theorem 20.44s 3.24s
% Output : Refutation 20.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU558^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:50:50 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.42 % (1085373)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.78/0.42 % (1085379)lrs+10_16_si=on:nwc=1.5:random_seed=3149771892:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.78/0.42 % (1085379)Instruction limit reached!
% 0.78/0.42 % (1085379)------------------------------
% 0.78/0.42 % (1085379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.42 % (1085379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.42 % (1085379)CaDiCaL version: 2.1.3
% 0.78/0.42 % (1085379)Termination reason: Instruction limit
% 0.78/0.42 % (1085379)Termination phase: Property scanning
% 0.78/0.42 % (1085379)Time elapsed: 0.004 s
% 0.78/0.42 % (1085379)Peak memory usage: 10 MB
% 0.78/0.42 % (1085379)Instructions burned: 18 (million)
% 0.78/0.42 % (1085384)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.78/0.42 % (1085384)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.78/0.42 % (1085380)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=193040062:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.78/0.42 % (1085378)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1383686084:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.78/0.42 % (1085381)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=869019892:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.78/0.42 % (1085382)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=535574424:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.78/0.42 % (1085380)Instruction limit reached!
% 0.78/0.42 % (1085380)------------------------------
% 0.78/0.42 % (1085380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.42 % (1085380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.42 % (1085380)CaDiCaL version: 2.1.3
% 0.78/0.42 % (1085380)Termination reason: Instruction limit
% 0.78/0.42 % (1085380)Termination phase: shuffling
% 0.78/0.42 % (1085380)Time elapsed: 0.002 s
% 0.78/0.42 % (1085380)Peak memory usage: 10 MB
% 0.78/0.42 % (1085380)Instructions burned: 4 (million)
% 0.78/0.42 % (1085384)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=1556160090:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.78/0.42 % (1085383)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3756442582:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.78/0.42 % (1085386)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3223688462:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.42 % (1085382)Instruction limit reached!
% 0.78/0.42 % (1085382)------------------------------
% 0.78/0.42 % (1085382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.42 % (1085382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.42 % (1085386)Instruction limit reached!
% 0.78/0.42 % (1085386)------------------------------
% 0.78/0.42 % (1085386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.42 % (1085386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.42 % (1085382)CaDiCaL version: 2.1.3
% 0.78/0.42 % (1085382)Termination reason: Instruction limit
% 0.78/0.42 % (1085382)Termination phase: Property scanning
% 0.78/0.42 % (1085386)CaDiCaL version: 2.1.3
% 0.78/0.42 % (1085386)Termination reason: Instruction limit
% 0.78/0.42 % (1085386)Termination phase: Property scanning
% 0.78/0.42 % (1085382)Time elapsed: 0.012 s
% 0.78/0.42 % (1085386)Time elapsed: 0.003 s
% 0.78/0.42 % (1085386)Peak memory usage: 10 MB
% 0.78/0.42 % (1085386)Instructions burned: 15 (million)
% 0.78/0.42 % (1085382)Peak memory usage: 11 MB
% 0.78/0.42 % (1085382)Instructions burned: 25 (million)
% 0.78/0.42 % (1085391)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2233495196:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.78/0.47 % (1085395)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.47 % (1085395)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1706531701:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.78/0.47 % (1085391)Instruction limit reached!
% 0.78/0.47 % (1085391)------------------------------
% 0.78/0.47 % (1085391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.47 % (1085391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.47 % (1085391)CaDiCaL version: 2.1.3
% 0.78/0.47 % (1085391)Termination reason: Instruction limit
% 0.78/0.47 % (1085391)Termination phase: shuffling
% 0.78/0.47 % (1085391)Time elapsed: 0.003 s
% 0.78/0.47 % (1085391)Peak memory usage: 10 MB
% 0.78/0.47 % (1085391)Instructions burned: 6 (million)
% 0.78/0.47 % (1085395)Instruction limit reached!
% 0.78/0.47 % (1085395)------------------------------
% 0.78/0.47 % (1085395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.47 % (1085395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.47 % (1085395)CaDiCaL version: 2.1.3
% 0.78/0.47 % (1085395)Termination reason: Instruction limit
% 0.78/0.47 % (1085395)Termination phase: shuffling
% 0.78/0.47 % (1085395)Time elapsed: 0.002 s
% 0.78/0.47 % (1085395)Peak memory usage: 10 MB
% 0.78/0.47 % (1085395)Instructions burned: 7 (million)
% 0.78/0.47 % (1085399)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.78/0.47 % (1085399)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.47 % (1085396)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3278294341:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.78/0.47 % (1085399)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1396181350:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.78/0.47 % (1085396)Instruction limit reached!
% 0.78/0.47 % (1085396)------------------------------
% 0.78/0.47 % (1085396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.47 % (1085396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.47 % (1085396)CaDiCaL version: 2.1.3
% 0.78/0.47 % (1085396)Termination reason: Instruction limit
% 0.78/0.47 % (1085396)Termination phase: Property scanning
% 0.78/0.47 % (1085396)Time elapsed: 0.006 s
% 0.78/0.47 % (1085396)Peak memory usage: 10 MB
% 0.78/0.47 % (1085396)Instructions burned: 12 (million)
% 0.78/0.47 % (1085400)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=1317986403:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.78/0.47 % (1085383)Instruction limit reached!
% 0.78/0.47 % (1085383)------------------------------
% 0.78/0.47 % (1085383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.47 % (1085383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.47 % (1085383)CaDiCaL version: 2.1.3
% 0.78/0.47 % (1085383)Termination reason: Instruction limit
% 0.78/0.47 % (1085383)Termination phase: Saturation
% 0.78/0.47 % (1085383)Time elapsed: 0.053 s
% 0.78/0.47 % (1085383)Peak memory usage: 13 MB
% 0.78/0.47 % (1085383)Instructions burned: 75 (million)
% 0.78/0.47 % (1085399)Instruction limit reached!
% 0.78/0.47 % (1085399)------------------------------
% 0.78/0.47 % (1085399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.47 % (1085399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.47 % (1085399)CaDiCaL version: 2.1.3
% 0.78/0.47 % (1085399)Termination reason: Instruction limit
% 0.78/0.47 % (1085399)Termination phase: Property scanning
% 0.78/0.47 % (1085399)Time elapsed: 0.012 s
% 0.78/0.47 % (1085399)Peak memory usage: 11 MB
% 0.78/0.47 % (1085399)Instructions burned: 29 (million)
% 0.78/0.47 % (1085378)Instruction limit reached!
% 0.78/0.47 % (1085378)------------------------------
% 0.78/0.47 % (1085378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.52 % (1085378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.52 % (1085378)CaDiCaL version: 2.1.3
% 1.50/0.52 % (1085378)Termination reason: Instruction limit
% 1.50/0.52 % (1085378)Termination phase: Saturation
% 1.50/0.52 % (1085378)Time elapsed: 0.060 s
% 1.50/0.52 % (1085378)Peak memory usage: 13 MB
% 1.50/0.52 % (1085378)Instructions burned: 87 (million)
% 1.50/0.52 % (1085405)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.50/0.52 % (1085384)Instruction limit reached!
% 1.50/0.52 % (1085384)------------------------------
% 1.50/0.52 % (1085384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.52 % (1085384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.52 % (1085384)CaDiCaL version: 2.1.3
% 1.50/0.52 % (1085384)Termination reason: Instruction limit
% 1.50/0.52 % (1085384)Termination phase: Saturation
% 1.50/0.52 % (1085384)Time elapsed: 0.071 s
% 1.50/0.52 % (1085384)Peak memory usage: 14 MB
% 1.50/0.52 % (1085384)Instructions burned: 159 (million)
% 1.50/0.52 % (1085405)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=2356724771:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.50/0.52 % (1085403)lrs+10_1_si=on:cs=on:random_seed=2515005968:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.50/0.52 % (1085405)Instruction limit reached!
% 1.50/0.52 % (1085405)------------------------------
% 1.50/0.52 % (1085405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.52 % (1085405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.52 % (1085405)CaDiCaL version: 2.1.3
% 1.50/0.52 % (1085405)Termination reason: Instruction limit
% 1.50/0.52 % (1085405)Termination phase: shuffling
% 1.50/0.52 % (1085405)Time elapsed: 0.002 s
% 1.50/0.52 % (1085405)Peak memory usage: 9 MB
% 1.50/0.52 % (1085405)Instructions burned: 5 (million)
% 1.50/0.52 % (1085403)Instruction limit reached!
% 1.50/0.52 % (1085403)------------------------------
% 1.50/0.52 % (1085403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.52 % (1085403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.52 % (1085403)CaDiCaL version: 2.1.3
% 1.50/0.52 % (1085403)Termination reason: Instruction limit
% 1.50/0.52 % (1085403)Termination phase: Property scanning
% 1.50/0.52 % (1085403)Time elapsed: 0.005 s
% 1.50/0.52 % (1085403)Peak memory usage: 9 MB
% 1.50/0.52 % (1085403)Instructions burned: 10 (million)
% 1.50/0.52 % (1085406)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1436579302:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.50/0.52 % (1085407)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=827321742:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.50/0.52 % (1085408)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=76083690:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.50/0.52 % (1085411)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3651972392:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.50/0.52 % (1085412)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3382260565:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.50/0.52 % (1085400)Instruction limit reached!
% 1.50/0.52 % (1085400)------------------------------
% 1.50/0.52 % (1085400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.52 % (1085400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.52 % (1085400)CaDiCaL version: 2.1.3
% 1.50/0.52 % (1085400)Termination reason: Instruction limit
% 1.50/0.52 % (1085400)Termination phase: Saturation
% 1.50/0.52 % (1085400)Time elapsed: 0.052 s
% 1.50/0.52 % (1085400)Peak memory usage: 13 MB
% 1.50/0.52 % (1085400)Instructions burned: 87 (million)
% 1.50/0.52 % (1085406)Instruction limit reached!
% 1.50/0.52 % (1085406)------------------------------
% 1.50/0.52 % (1085406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.52 % (1085406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.61 % (1085406)CaDiCaL version: 2.1.3
% 1.50/0.61 % (1085406)Termination reason: Instruction limit
% 1.50/0.61 % (1085406)Termination phase: Property scanning
% 1.50/0.61 % (1085406)Time elapsed: 0.018 s
% 1.50/0.61 % (1085406)Peak memory usage: 11 MB
% 1.50/0.61 % (1085406)Instructions burned: 38 (million)
% 1.50/0.61 % (1085411)Instruction limit reached!
% 1.50/0.61 % (1085411)------------------------------
% 1.50/0.61 % (1085411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.61 % (1085411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.61 % (1085411)CaDiCaL version: 2.1.3
% 1.50/0.61 % (1085411)Termination reason: Instruction limit
% 1.50/0.61 % (1085411)Termination phase: Property scanning
% 1.50/0.61 % (1085411)Time elapsed: 0.007 s
% 1.50/0.61 % (1085411)Peak memory usage: 10 MB
% 1.50/0.61 % (1085411)Instructions burned: 15 (million)
% 1.50/0.61 % (1085408)Instruction limit reached!
% 1.50/0.61 % (1085408)------------------------------
% 1.50/0.61 % (1085408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.61 % (1085408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.61 % (1085408)CaDiCaL version: 2.1.3
% 1.50/0.61 % (1085408)Termination reason: Instruction limit
% 1.50/0.61 % (1085408)Termination phase: Property scanning
% 1.50/0.61 % (1085408)Time elapsed: 0.013 s
% 1.50/0.61 % (1085408)Peak memory usage: 11 MB
% 1.50/0.61 % (1085408)Instructions burned: 27 (million)
% 1.50/0.61 % (1085419)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4049947765:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.50/0.61 % (1085421)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3376580402:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.50/0.61 % (1085419)Instruction limit reached!
% 1.50/0.61 % (1085419)------------------------------
% 1.50/0.61 % (1085419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.61 % (1085419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.61 % (1085419)CaDiCaL version: 2.1.3
% 1.50/0.61 % (1085419)Termination reason: Instruction limit
% 1.50/0.61 % (1085419)Termination phase: shuffling
% 1.50/0.61 % (1085419)Time elapsed: 0.002 s
% 1.50/0.61 % (1085419)Peak memory usage: 10 MB
% 1.50/0.61 % (1085419)Instructions burned: 4 (million)
% 1.50/0.61 % (1085421)Instruction limit reached!
% 1.50/0.61 % (1085421)------------------------------
% 1.50/0.61 % (1085421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.61 % (1085421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.61 % (1085421)CaDiCaL version: 2.1.3
% 1.50/0.61 % (1085421)Termination reason: Instruction limit
% 1.50/0.61 % (1085421)Termination phase: Function definition elimination
% 1.50/0.61 % (1085421)Time elapsed: 0.011 s
% 1.50/0.61 % (1085421)Peak memory usage: 10 MB
% 1.50/0.61 % (1085421)Instructions burned: 25 (million)
% 1.50/0.61 % (1085420)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1424112454:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.50/0.61 % (1085418)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=573224664:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.50/0.61 % (1085424)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3140114396:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.50/0.61 % (1085418)Instruction limit reached!
% 1.50/0.61 % (1085418)------------------------------
% 1.50/0.61 % (1085418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.61 % (1085418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.61 % (1085418)CaDiCaL version: 2.1.3
% 1.50/0.61 % (1085418)Termination reason: Instruction limit
% 1.50/0.61 % (1085418)Termination phase: Property scanning
% 1.50/0.61 % (1085418)Time elapsed: 0.006 s
% 1.50/0.61 % (1085418)Peak memory usage: 9 MB
% 1.50/0.61 % (1085418)Instructions burned: 15 (million)
% 1.50/0.61 % (1085420)Instruction limit reached!
% 1.50/0.61 % (1085420)------------------------------
% 1.50/0.61 % (1085420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.61 % (1085420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.71 % (1085420)CaDiCaL version: 2.1.3
% 2.65/0.71 % (1085420)Termination reason: Instruction limit
% 2.65/0.71 % (1085420)Termination phase: Property scanning
% 2.65/0.71 % (1085420)Time elapsed: 0.011 s
% 2.65/0.71 % (1085420)Peak memory usage: 10 MB
% 2.65/0.71 % (1085420)Instructions burned: 27 (million)
% 2.65/0.71 % (1085425)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
% 2.65/0.71 % (1085425)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.65/0.71 % (1085425)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=595499942:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.65/0.71 % (1085429)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.65/0.71 % (1085429)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=4107304885:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.65/0.71 % (1085425)Instruction limit reached!
% 2.65/0.71 % (1085425)------------------------------
% 2.65/0.71 % (1085425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.71 % (1085425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.71 % (1085425)CaDiCaL version: 2.1.3
% 2.65/0.71 % (1085425)Termination reason: Instruction limit
% 2.65/0.71 % (1085425)Termination phase: Property scanning
% 2.65/0.71 % (1085425)Time elapsed: 0.010 s
% 2.65/0.71 % (1085425)Peak memory usage: 10 MB
% 2.65/0.71 % (1085425)Instructions burned: 15 (million)
% 2.65/0.71 % (1085429)Instruction limit reached!
% 2.65/0.71 % (1085429)------------------------------
% 2.65/0.71 % (1085429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.71 % (1085429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.71 % (1085429)CaDiCaL version: 2.1.3
% 2.65/0.71 % (1085429)Termination reason: Instruction limit
% 2.65/0.71 % (1085429)Termination phase: Property scanning
% 2.65/0.71 % (1085429)Time elapsed: 0.004 s
% 2.65/0.71 % (1085429)Peak memory usage: 10 MB
% 2.65/0.71 % (1085429)Instructions burned: 9 (million)
% 2.65/0.71 % (1085424)Instruction limit reached!
% 2.65/0.71 % (1085424)------------------------------
% 2.65/0.71 % (1085424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.71 % (1085424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.71 % (1085424)CaDiCaL version: 2.1.3
% 2.65/0.71 % (1085424)Termination reason: Instruction limit
% 2.65/0.71 % (1085424)Termination phase: Saturation
% 2.65/0.71 % (1085424)Time elapsed: 0.034 s
% 2.65/0.71 % (1085424)Peak memory usage: 13 MB
% 2.65/0.71 % (1085424)Instructions burned: 61 (million)
% 2.65/0.71 % (1085430)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=3938660112:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.65/0.71 % (1085434)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=845782622:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.65/0.71 % (1085435)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1393199834:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.65/0.71 % (1085434)Instruction limit reached!
% 2.65/0.71 % (1085434)------------------------------
% 2.65/0.71 % (1085434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.71 % (1085434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.71 % (1085434)CaDiCaL version: 2.1.3
% 2.65/0.71 % (1085434)Termination reason: Instruction limit
% 2.65/0.71 % (1085434)Termination phase: Property scanning
% 2.65/0.71 % (1085434)Time elapsed: 0.010 s
% 2.65/0.71 % (1085434)Peak memory usage: 10 MB
% 2.65/0.71 % (1085434)Instructions burned: 25 (million)
% 2.65/0.71 % (1085433)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2954776506:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.65/0.71 % (1085430)Instruction limit reached!
% 3.19/0.81 % (1085430)------------------------------
% 3.19/0.81 % (1085430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.81 % (1085430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.81 % (1085430)CaDiCaL version: 2.1.3
% 3.19/0.81 % (1085430)Termination reason: Instruction limit
% 3.19/0.81 % (1085430)Termination phase: Saturation
% 3.19/0.81 % (1085430)Time elapsed: 0.025 s
% 3.19/0.81 % (1085430)Peak memory usage: 11 MB
% 3.19/0.81 % (1085430)Instructions burned: 32 (million)
% 3.19/0.81 % (1085433)Instruction limit reached!
% 3.19/0.81 % (1085433)------------------------------
% 3.19/0.81 % (1085433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.81 % (1085433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.81 % (1085433)CaDiCaL version: 2.1.3
% 3.19/0.81 % (1085433)Termination reason: Instruction limit
% 3.19/0.81 % (1085433)Termination phase: shuffling
% 3.19/0.81 % (1085433)Time elapsed: 0.007 s
% 3.19/0.81 % (1085433)Peak memory usage: 10 MB
% 3.19/0.81 % (1085433)Instructions burned: 7 (million)
% 3.19/0.81 % (1085435)Instruction limit reached!
% 3.19/0.81 % (1085435)------------------------------
% 3.19/0.81 % (1085435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.81 % (1085435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.81 % (1085435)CaDiCaL version: 2.1.3
% 3.19/0.81 % (1085435)Termination reason: Instruction limit
% 3.19/0.81 % (1085435)Termination phase: Property scanning
% 3.19/0.81 % (1085435)Time elapsed: 0.013 s
% 3.19/0.81 % (1085435)Peak memory usage: 11 MB
% 3.19/0.81 % (1085435)Instructions burned: 21 (million)
% 3.19/0.81 % (1085439)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=729260908:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 3.19/0.81 % (1085441)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2239644564:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 3.19/0.81 % (1085443)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=253154883:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 3.19/0.81 % (1085442)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4072927030:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 3.19/0.81 % (1085407)Instruction limit reached!
% 3.19/0.81 % (1085407)------------------------------
% 3.19/0.81 % (1085407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.81 % (1085407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.81 % (1085407)CaDiCaL version: 2.1.3
% 3.19/0.81 % (1085407)Termination reason: Instruction limit
% 3.19/0.81 % (1085407)Termination phase: Saturation
% 3.19/0.81 % (1085407)Time elapsed: 0.172 s
% 3.19/0.81 % (1085407)Peak memory usage: 13 MB
% 3.19/0.81 % (1085407)Instructions burned: 250 (million)
% 3.19/0.81 % (1085443)Instruction limit reached!
% 3.19/0.81 % (1085443)------------------------------
% 3.19/0.81 % (1085443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.81 % (1085443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.81 % (1085443)CaDiCaL version: 2.1.3
% 3.19/0.81 % (1085443)Termination reason: Instruction limit
% 3.19/0.81 % (1085443)Termination phase: Saturation
% 3.19/0.82 % (1085443)Time elapsed: 0.030 s
% 3.19/0.82 % (1085443)Peak memory usage: 12 MB
% 3.19/0.82 % (1085443)Instructions burned: 42 (million)
% 3.19/0.82 % (1085448)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.19/0.82 % (1085448)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1734532152:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 3.19/0.82 % (1085448)Instruction limit reached!
% 3.19/0.82 % (1085448)------------------------------
% 3.19/0.82 % (1085448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.82 % (1085448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.82 % (1085448)CaDiCaL version: 2.1.3
% 3.19/0.82 % (1085448)Termination reason: Instruction limit
% 3.19/0.82 % (1085448)Termination phase: shuffling
% 3.19/0.82 % (1085448)Time elapsed: 0.006 s
% 3.19/0.82 % (1085448)Peak memory usage: 10 MB
% 3.19/0.82 % (1085448)Instructions burned: 7 (million)
% 3.19/0.88 % (1085441)Instruction limit reached!
% 3.19/0.88 % (1085441)------------------------------
% 3.19/0.88 % (1085441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.88 % (1085441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.88 % (1085441)CaDiCaL version: 2.1.3
% 3.19/0.88 % (1085441)Termination reason: Instruction limit
% 3.19/0.88 % (1085441)Termination phase: Saturation
% 3.19/0.88 % (1085441)Time elapsed: 0.075 s
% 3.19/0.88 % (1085441)Peak memory usage: 13 MB
% 3.19/0.88 % (1085441)Instructions burned: 143 (million)
% 3.19/0.88 % (1085449)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2589531848:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.19/0.88 % (1085452)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=4111781010: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)
% 3.19/0.88 % (1085453)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.19/0.88 % (1085453)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=224284406:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.19/0.88 % (1085453)Instruction limit reached!
% 3.19/0.88 % (1085453)------------------------------
% 3.19/0.88 % (1085453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.88 % (1085453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.88 % (1085453)CaDiCaL version: 2.1.3
% 3.19/0.88 % (1085453)Termination reason: Instruction limit
% 3.19/0.88 % (1085453)Termination phase: shuffling
% 3.19/0.88 % (1085453)Time elapsed: 0.003 s
% 3.19/0.88 % (1085453)Peak memory usage: 10 MB
% 3.19/0.88 % (1085453)Instructions burned: 6 (million)
% 3.19/0.88 % (1085412)Instruction limit reached!
% 3.19/0.88 % (1085412)------------------------------
% 3.19/0.88 % (1085412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.88 % (1085412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.88 % (1085412)CaDiCaL version: 2.1.3
% 3.19/0.88 % (1085412)Termination reason: Instruction limit
% 3.19/0.88 % (1085412)Termination phase: Saturation
% 3.19/0.88 % (1085412)Time elapsed: 0.232 s
% 3.19/0.88 % (1085412)Peak memory usage: 14 MB
% 3.19/0.88 % (1085412)Instructions burned: 329 (million)
% 3.19/0.88 % (1085458)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=790812789:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.19/0.88 % (1085457)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=519559547:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.19/0.88 % (1085458)Instruction limit reached!
% 3.19/0.88 % (1085458)------------------------------
% 3.19/0.88 % (1085458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.88 % (1085458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.88 % (1085458)CaDiCaL version: 2.1.3
% 3.19/0.88 % (1085458)Termination reason: Instruction limit
% 3.19/0.88 % (1085458)Termination phase: Property scanning
% 3.19/0.88 % (1085458)Time elapsed: 0.008 s
% 3.19/0.88 % (1085458)Peak memory usage: 10 MB
% 3.19/0.88 % (1085458)Instructions burned: 19 (million)
% 3.19/0.88 % (1085457)Instruction limit reached!
% 3.19/0.88 % (1085457)------------------------------
% 3.19/0.88 % (1085457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.88 % (1085457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.88 % (1085457)CaDiCaL version: 2.1.3
% 3.19/0.88 % (1085457)Termination reason: Instruction limit
% 3.19/0.88 % (1085457)Termination phase: Property scanning
% 3.19/0.88 % (1085457)Time elapsed: 0.019 s
% 3.19/0.88 % (1085457)Peak memory usage: 10 MB
% 3.19/0.88 % (1085457)Instructions burned: 23 (million)
% 3.19/0.88 % (1085461)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=2118033212:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 3.19/0.88 % (1085452)Instruction limit reached!
% 3.19/0.88 % (1085452)------------------------------
% 3.19/0.88 % (1085452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/0.96 % (1085452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/0.96 % (1085452)CaDiCaL version: 2.1.3
% 3.96/0.96 % (1085452)Termination reason: Instruction limit
% 3.96/0.96 % (1085452)Termination phase: Saturation
% 3.96/0.96 % (1085452)Time elapsed: 0.076 s
% 3.96/0.96 % (1085452)Peak memory usage: 13 MB
% 3.96/0.96 % (1085452)Instructions burned: 170 (million)
% 3.96/0.96 % (1085442)Instruction limit reached!
% 3.96/0.96 % (1085442)------------------------------
% 3.96/0.96 % (1085442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/0.96 % (1085442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/0.96 % (1085442)CaDiCaL version: 2.1.3
% 3.96/0.96 % (1085442)Termination reason: Instruction limit
% 3.96/0.96 % (1085442)Termination phase: Saturation
% 3.96/0.96 % (1085442)Time elapsed: 0.157 s
% 3.96/0.96 % (1085442)Peak memory usage: 13 MB
% 3.96/0.96 % (1085442)Instructions burned: 193 (million)
% 3.96/0.96 % (1085463)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=1249506593: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)
% 3.96/0.96 % (1085449)Instruction limit reached!
% 3.96/0.96 % (1085449)------------------------------
% 3.96/0.96 % (1085449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/0.96 % (1085449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/0.96 % (1085449)CaDiCaL version: 2.1.3
% 3.96/0.96 % (1085449)Termination reason: Instruction limit
% 3.96/0.96 % (1085449)Termination phase: Saturation
% 3.96/0.96 % (1085449)Time elapsed: 0.100 s
% 3.96/0.96 % (1085449)Peak memory usage: 13 MB
% 3.96/0.96 % (1085449)Instructions burned: 181 (million)
% 3.96/0.96 % (1085470)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1207587008:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 3.96/0.96 % (1085466)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=3817190135: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)
% 3.96/0.96 % (1085466)Instruction limit reached!
% 3.96/0.96 % (1085466)------------------------------
% 3.96/0.96 % (1085466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/0.96 % (1085466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/0.96 % (1085466)CaDiCaL version: 2.1.3
% 3.96/0.96 % (1085466)Termination reason: Instruction limit
% 3.96/0.96 % (1085466)Termination phase: Property scanning
% 3.96/0.96 % (1085466)Time elapsed: 0.021 s
% 3.96/0.96 % (1085466)Peak memory usage: 11 MB
% 3.96/0.96 % (1085466)Instructions burned: 45 (million)
% 3.96/0.96 % (1085472)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2192014043: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)
% 3.96/0.96 % (1085476)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.96/0.96 % (1085472)Instruction limit reached!
% 3.96/0.96 % (1085472)------------------------------
% 3.96/0.96 % (1085472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.96/0.96 % (1085472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/0.96 % (1085472)CaDiCaL version: 2.1.3
% 3.96/0.96 % (1085472)Termination reason: Instruction limit
% 3.96/0.96 % (1085472)Termination phase: Property scanning
% 3.96/0.96 % (1085472)Time elapsed: 0.017 s
% 3.96/0.96 % (1085472)Peak memory usage: 11 MB
% 3.96/0.96 % (1085472)Instructions burned: 21 (million)
% 3.96/0.96 % (1085476)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2505139695:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 3.96/0.96 % (1085477)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1215827002:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 3.96/0.96 % (1085477)Instruction limit reached!
% 3.96/0.96 % (1085477)------------------------------
% 3.96/0.96 % (1085477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.24/1.13 % (1085477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.13 % (1085477)CaDiCaL version: 2.1.3
% 5.24/1.13 % (1085477)Termination reason: Instruction limit
% 5.24/1.13 % (1085477)Termination phase: Property scanning
% 5.24/1.13 % (1085477)Time elapsed: 0.011 s
% 5.24/1.13 % (1085477)Peak memory usage: 10 MB
% 5.24/1.13 % (1085477)Instructions burned: 13 (million)
% 5.24/1.13 % (1085381)Instruction limit reached!
% 5.24/1.13 % (1085381)------------------------------
% 5.24/1.13 % (1085381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.24/1.13 % (1085381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.13 % (1085381)CaDiCaL version: 2.1.3
% 5.24/1.13 % (1085381)Termination reason: Instruction limit
% 5.24/1.13 % (1085381)Termination phase: Saturation
% 5.24/1.13 % (1085381)Time elapsed: 0.505 s
% 5.24/1.13 % (1085381)Peak memory usage: 18 MB
% 5.24/1.13 % (1085381)Instructions burned: 634 (million)
% 5.24/1.13 % (1085480)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=425657908:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.24/1.13 % (1085481)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2776214482:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 5.24/1.13 % (1085470)Instruction limit reached!
% 5.24/1.13 % (1085470)------------------------------
% 5.24/1.13 % (1085470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.24/1.13 % (1085470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.13 % (1085470)CaDiCaL version: 2.1.3
% 5.24/1.13 % (1085470)Termination reason: Instruction limit
% 5.24/1.13 % (1085470)Termination phase: Saturation
% 5.24/1.13 % (1085470)Time elapsed: 0.127 s
% 5.24/1.13 % (1085470)Peak memory usage: 15 MB
% 5.24/1.13 % (1085470)Instructions burned: 482 (million)
% 5.24/1.13 % (1085481)Instruction limit reached!
% 5.24/1.13 % (1085481)------------------------------
% 5.24/1.13 % (1085481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.24/1.13 % (1085481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.13 % (1085481)CaDiCaL version: 2.1.3
% 5.24/1.13 % (1085481)Termination reason: Instruction limit
% 5.24/1.13 % (1085481)Termination phase: Saturation
% 5.24/1.13 % (1085481)Time elapsed: 0.022 s
% 5.24/1.13 % (1085481)Peak memory usage: 12 MB
% 5.24/1.13 % (1085481)Instructions burned: 51 (million)
% 5.24/1.13 % (1085480)Instruction limit reached!
% 5.24/1.13 % (1085480)------------------------------
% 5.24/1.13 % (1085480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.24/1.13 % (1085480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.13 % (1085480)CaDiCaL version: 2.1.3
% 5.24/1.13 % (1085480)Termination reason: Instruction limit
% 5.24/1.13 % (1085480)Termination phase: Saturation
% 5.24/1.13 % (1085480)Time elapsed: 0.029 s
% 5.24/1.13 % (1085480)Peak memory usage: 13 MB
% 5.24/1.13 % (1085480)Instructions burned: 67 (million)
% 5.24/1.13 % (1085484)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=439053638:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 5.24/1.13 % (1085484)Instruction limit reached!
% 5.24/1.13 % (1085484)------------------------------
% 5.24/1.13 % (1085484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.24/1.13 % (1085484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.13 % (1085484)CaDiCaL version: 2.1.3
% 5.24/1.13 % (1085484)Termination reason: Instruction limit
% 5.24/1.13 % (1085484)Termination phase: Saturation
% 5.24/1.13 % (1085484)Time elapsed: 0.007 s
% 5.24/1.13 % (1085484)Peak memory usage: 11 MB
% 5.24/1.13 % (1085484)Instructions burned: 36 (million)
% 5.24/1.13 % (1085461)Instruction limit reached!
% 5.24/1.13 % (1085461)------------------------------
% 5.24/1.13 % (1085461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.24/1.13 % (1085461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.13 % (1085461)CaDiCaL version: 2.1.3
% 5.24/1.13 % (1085461)Termination reason: Instruction limit
% 5.24/1.13 % (1085461)Termination phase: Saturation
% 5.24/1.13 % (1085461)Time elapsed: 0.175 s
% 5.24/1.13 % (1085461)Peak memory usage: 14 MB
% 5.24/1.13 % (1085461)Instructions burned: 317 (million)
% 5.24/1.13 % (1085485)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1642396148:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 6.09/1.23 % (1085486)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=3184343474:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 6.09/1.23 % (1085488)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2658236484:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 6.09/1.23 % (1085476)Instruction limit reached!
% 6.09/1.23 % (1085476)------------------------------
% 6.09/1.23 % (1085476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.09/1.23 % (1085476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.23 % (1085476)CaDiCaL version: 2.1.3
% 6.09/1.23 % (1085476)Termination reason: Instruction limit
% 6.09/1.23 % (1085476)Termination phase: Saturation
% 6.09/1.23 % (1085476)Time elapsed: 0.116 s
% 6.09/1.23 % (1085476)Peak memory usage: 13 MB
% 6.09/1.23 % (1085476)Instructions burned: 201 (million)
% 6.09/1.23 % (1085486)Instruction limit reached!
% 6.09/1.23 % (1085486)------------------------------
% 6.09/1.23 % (1085486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.09/1.23 % (1085486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.23 % (1085486)CaDiCaL version: 2.1.3
% 6.09/1.23 % (1085486)Termination reason: Instruction limit
% 6.09/1.23 % (1085486)Termination phase: Property scanning
% 6.09/1.23 % (1085486)Time elapsed: 0.014 s
% 6.09/1.23 % (1085486)Peak memory usage: 10 MB
% 6.09/1.23 % (1085486)Instructions burned: 34 (million)
% 6.09/1.23 % (1085489)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 6.09/1.23 % (1085488)Instruction limit reached!
% 6.09/1.23 % (1085488)------------------------------
% 6.09/1.23 % (1085488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.09/1.23 % (1085488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.23 % (1085488)CaDiCaL version: 2.1.3
% 6.09/1.23 % (1085488)Termination reason: Instruction limit
% 6.09/1.23 % (1085488)Termination phase: Saturation
% 6.09/1.23 % (1085488)Time elapsed: 0.016 s
% 6.09/1.23 % (1085488)Peak memory usage: 12 MB
% 6.09/1.23 % (1085488)Instructions burned: 67 (million)
% 6.09/1.23 % (1085489)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=4283134947:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 6.09/1.23 % (1085493)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1027497695:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 6.09/1.23 % (1085494)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3335226404:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 6.09/1.23 % (1085496)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3001509700:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 6.09/1.23 % (1085485)Instruction limit reached!
% 6.09/1.23 % (1085485)------------------------------
% 6.09/1.23 % (1085485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.09/1.23 % (1085485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.23 % (1085485)CaDiCaL version: 2.1.3
% 6.09/1.23 % (1085485)Termination reason: Instruction limit
% 6.09/1.23 % (1085485)Termination phase: Saturation
% 6.09/1.23 % (1085485)Time elapsed: 0.060 s
% 6.09/1.23 % (1085485)Peak memory usage: 13 MB
% 6.09/1.23 % (1085485)Instructions burned: 139 (million)
% 6.09/1.23 % (1085494)Instruction limit reached!
% 6.09/1.23 % (1085494)------------------------------
% 6.09/1.23 % (1085494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.09/1.23 % (1085494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.23 % (1085494)CaDiCaL version: 2.1.3
% 6.09/1.23 % (1085494)Termination reason: Instruction limit
% 6.09/1.23 % (1085494)Termination phase: Saturation
% 6.09/1.23 % (1085494)Time elapsed: 0.042 s
% 6.09/1.23 % (1085494)Peak memory usage: 13 MB
% 6.09/1.23 % (1085494)Instructions burned: 98 (million)
% 6.09/1.23 % (1085501)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=536410101:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 6.46/1.36 % (1085503)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1247789299:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/515Mi)
% 6.46/1.36 % (1085489)Instruction limit reached!
% 6.46/1.36 % (1085489)------------------------------
% 6.46/1.36 % (1085489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.36 % (1085489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.36 % (1085489)CaDiCaL version: 2.1.3
% 6.46/1.36 % (1085489)Termination reason: Instruction limit
% 6.46/1.36 % (1085489)Termination phase: Saturation
% 6.46/1.36 % (1085489)Time elapsed: 0.092 s
% 6.46/1.36 % (1085489)Peak memory usage: 13 MB
% 6.46/1.36 % (1085489)Instructions burned: 182 (million)
% 6.46/1.36 % (1085506)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3848502459:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.46/1.36 % (1085493)Instruction limit reached!
% 6.46/1.36 % (1085493)------------------------------
% 6.46/1.36 % (1085493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.36 % (1085493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.36 % (1085493)CaDiCaL version: 2.1.3
% 6.46/1.36 % (1085493)Termination reason: Instruction limit
% 6.46/1.36 % (1085493)Termination phase: Saturation
% 6.46/1.36 % (1085493)Time elapsed: 0.120 s
% 6.46/1.36 % (1085493)Peak memory usage: 14 MB
% 6.46/1.36 % (1085493)Instructions burned: 247 (million)
% 6.46/1.36 % (1085508)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3819245850:i=44:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/44Mi)
% 6.46/1.36 % (1085508)Instruction limit reached!
% 6.46/1.36 % (1085508)------------------------------
% 6.46/1.36 % (1085508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.36 % (1085508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.36 % (1085508)CaDiCaL version: 2.1.3
% 6.46/1.36 % (1085508)Termination reason: Instruction limit
% 6.46/1.36 % (1085508)Termination phase: Saturation
% 6.46/1.36 % (1085508)Time elapsed: 0.019 s
% 6.46/1.36 % (1085508)Peak memory usage: 11 MB
% 6.46/1.36 % (1085508)Instructions burned: 46 (million)
% 6.46/1.36 % (1085506)Instruction limit reached!
% 6.46/1.36 % (1085506)------------------------------
% 6.46/1.36 % (1085506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.36 % (1085506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.36 % (1085506)CaDiCaL version: 2.1.3
% 6.46/1.36 % (1085506)Termination reason: Instruction limit
% 6.46/1.36 % (1085506)Termination phase: Saturation
% 6.46/1.36 % (1085506)Time elapsed: 0.057 s
% 6.46/1.36 % (1085506)Peak memory usage: 13 MB
% 6.46/1.36 % (1085506)Instructions burned: 130 (million)
% 6.46/1.36 % (1085510)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1277533467:s2a=on:i=571:nm=16:rtra=on_2991 on theBenchmark for (2991ds/571Mi)
% 6.46/1.36 % (1085511)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=677623743:i=450:rtra=on:ixr=off:ntd=on_2991 on theBenchmark for (2991ds/450Mi)
% 6.46/1.36 % (1085463)Instruction limit reached!
% 6.46/1.36 % (1085463)------------------------------
% 6.46/1.36 % (1085463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.36 % (1085463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.36 % (1085463)CaDiCaL version: 2.1.3
% 6.46/1.36 % (1085463)Termination reason: Instruction limit
% 6.46/1.36 % (1085463)Termination phase: Saturation
% 6.46/1.36 % (1085463)Time elapsed: 0.399 s
% 6.46/1.36 % (1085463)Peak memory usage: 19 MB
% 6.46/1.36 % (1085463)Instructions burned: 854 (million)
% 6.46/1.36 % (1085496)Instruction limit reached!
% 6.46/1.36 % (1085496)------------------------------
% 6.46/1.36 % (1085496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.36 % (1085496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.36 % (1085496)CaDiCaL version: 2.1.3
% 6.46/1.36 % (1085496)Termination reason: Instruction limit
% 6.46/1.36 % (1085496)Termination phase: Saturation
% 6.46/1.36 % (1085496)Time elapsed: 0.207 s
% 6.46/1.36 % (1085496)Peak memory usage: 14 MB
% 6.46/1.36 % (1085496)Instructions burned: 429 (million)
% 6.46/1.36 % (1085519)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=406845483:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/95Mi)
% 7.25/1.47 % (1085525)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=4000009584:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2991 on theBenchmark for (2991ds/65Mi)
% 7.25/1.47 % (1085519)Instruction limit reached!
% 7.25/1.47 % (1085519)------------------------------
% 7.25/1.47 % (1085519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.25/1.47 % (1085519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.47 % (1085519)CaDiCaL version: 2.1.3
% 7.25/1.47 % (1085519)Termination reason: Instruction limit
% 7.25/1.47 % (1085519)Termination phase: Saturation
% 7.25/1.47 % (1085519)Time elapsed: 0.024 s
% 7.25/1.47 % (1085519)Peak memory usage: 13 MB
% 7.25/1.47 % (1085519)Instructions burned: 97 (million)
% 7.25/1.47 % (1085538)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=1406882645: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_2991 on theBenchmark for (2991ds/105Mi)
% 7.25/1.47 % (1085525)Instruction limit reached!
% 7.25/1.47 % (1085525)------------------------------
% 7.25/1.47 % (1085525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.25/1.47 % (1085525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.47 % (1085525)CaDiCaL version: 2.1.3
% 7.25/1.47 % (1085525)Termination reason: Instruction limit
% 7.25/1.47 % (1085525)Termination phase: Saturation
% 7.25/1.47 % (1085525)Time elapsed: 0.028 s
% 7.25/1.47 % (1085525)Peak memory usage: 12 MB
% 7.25/1.47 % (1085525)Instructions burned: 65 (million)
% 7.25/1.47 % (1085439)Instruction limit reached!
% 7.25/1.47 % (1085439)------------------------------
% 7.25/1.47 % (1085439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.25/1.47 % (1085439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.47 % (1085439)CaDiCaL version: 2.1.3
% 7.25/1.47 % (1085439)Termination reason: Instruction limit
% 7.25/1.47 % (1085439)Termination phase: Saturation
% 7.25/1.47 % (1085439)Time elapsed: 0.640 s
% 7.25/1.47 % (1085439)Peak memory usage: 17 MB
% 7.25/1.47 % (1085439)Instructions burned: 1241 (million)
% 7.25/1.47 % (1085538)Instruction limit reached!
% 7.25/1.47 % (1085538)------------------------------
% 7.25/1.47 % (1085538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.25/1.47 % (1085538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.47 % (1085538)CaDiCaL version: 2.1.3
% 7.25/1.47 % (1085538)Termination reason: Instruction limit
% 7.25/1.47 % (1085538)Termination phase: Saturation
% 7.25/1.47 % (1085538)Time elapsed: 0.024 s
% 7.25/1.47 % (1085538)Peak memory usage: 13 MB
% 7.25/1.47 % (1085538)Instructions burned: 105 (million)
% 7.25/1.47 % (1085548)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=1393923071: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)
% 7.25/1.47 % (1085552)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1375410686:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/375Mi)
% 7.25/1.47 % (1085559)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1917487969:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/495Mi)
% 7.25/1.47 % (1085503)Instruction limit reached!
% 7.25/1.47 % (1085503)------------------------------
% 7.25/1.47 % (1085503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.25/1.47 % (1085503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.25/1.47 % (1085503)CaDiCaL version: 2.1.3
% 7.25/1.47 % (1085503)Termination reason: Instruction limit
% 7.25/1.47 % (1085503)Termination phase: Saturation
% 7.25/1.47 % (1085503)Time elapsed: 0.230 s
% 7.25/1.47 % (1085503)Peak memory usage: 14 MB
% 7.25/1.47 % (1085503)Instructions burned: 516 (million)
% 7.25/1.47 % (1085569)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=4055852323:cond=on:i=34:hud=10:nm=10:rtra=on_2990 on theBenchmark for (2990ds/34Mi)
% 7.65/1.56 % (1085569)Instruction limit reached!
% 7.65/1.56 % (1085569)------------------------------
% 7.65/1.56 % (1085569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.56 % (1085569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.56 % (1085569)CaDiCaL version: 2.1.3
% 7.65/1.56 % (1085569)Termination reason: Instruction limit
% 7.65/1.56 % (1085569)Termination phase: Property scanning
% 7.65/1.56 % (1085569)Time elapsed: 0.014 s
% 7.65/1.56 % (1085569)Peak memory usage: 10 MB
% 7.65/1.56 % (1085569)Instructions burned: 34 (million)
% 7.65/1.56 % (1085586)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2919715411:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/91Mi)
% 7.65/1.56 % (1085511)Instruction limit reached!
% 7.65/1.56 % (1085511)------------------------------
% 7.65/1.56 % (1085511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.56 % (1085511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.56 % (1085511)CaDiCaL version: 2.1.3
% 7.65/1.56 % (1085511)Termination reason: Instruction limit
% 7.65/1.56 % (1085511)Termination phase: Saturation
% 7.65/1.56 % (1085511)Time elapsed: 0.193 s
% 7.65/1.56 % (1085511)Peak memory usage: 17 MB
% 7.65/1.56 % (1085511)Instructions burned: 451 (million)
% 7.65/1.56 % (1085603)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2801063703:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2989 on theBenchmark for (2989ds/66Mi)
% 7.65/1.56 % (1085586)Instruction limit reached!
% 7.65/1.56 % (1085586)------------------------------
% 7.65/1.56 % (1085586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.56 % (1085586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.56 % (1085586)CaDiCaL version: 2.1.3
% 7.65/1.56 % (1085586)Termination reason: Instruction limit
% 7.65/1.56 % (1085586)Termination phase: Saturation
% 7.65/1.56 % (1085586)Time elapsed: 0.044 s
% 7.65/1.56 % (1085586)Peak memory usage: 13 MB
% 7.65/1.56 % (1085586)Instructions burned: 92 (million)
% 7.65/1.56 % (1085612)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2258662122:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2989 on theBenchmark for (2989ds/22Mi)
% 7.65/1.56 % (1085612)Instruction limit reached!
% 7.65/1.56 % (1085612)------------------------------
% 7.65/1.56 % (1085612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.56 % (1085612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.56 % (1085612)CaDiCaL version: 2.1.3
% 7.65/1.56 % (1085612)Termination reason: Instruction limit
% 7.65/1.56 % (1085612)Termination phase: Property scanning
% 7.65/1.56 % (1085612)Time elapsed: 0.010 s
% 7.65/1.56 % (1085612)Peak memory usage: 10 MB
% 7.65/1.56 % (1085612)Instructions burned: 22 (million)
% 7.65/1.56 % (1085603)Instruction limit reached!
% 7.65/1.56 % (1085603)------------------------------
% 7.65/1.56 % (1085603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.56 % (1085603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.56 % (1085603)CaDiCaL version: 2.1.3
% 7.65/1.56 % (1085603)Termination reason: Instruction limit
% 7.65/1.56 % (1085603)Termination phase: Saturation
% 7.65/1.56 % (1085603)Time elapsed: 0.032 s
% 7.65/1.56 % (1085603)Peak memory usage: 13 MB
% 7.65/1.56 % (1085603)Instructions burned: 67 (million)
% 7.65/1.56 % (1085559)Instruction limit reached!
% 7.65/1.56 % (1085559)------------------------------
% 7.65/1.56 % (1085559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.56 % (1085559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.56 % (1085559)CaDiCaL version: 2.1.3
% 7.65/1.56 % (1085559)Termination reason: Instruction limit
% 7.65/1.56 % (1085559)Termination phase: Saturation
% 7.65/1.56 % (1085559)Time elapsed: 0.139 s
% 7.65/1.56 % (1085559)Peak memory usage: 16 MB
% 7.65/1.56 % (1085559)Instructions burned: 496 (million)
% 7.65/1.56 % (1085627)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 7.65/1.56 % (1085627)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2063411761:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/137Mi)
% 7.65/1.56 % (1085625)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=2900560742:i=338:bd=all:ins=4:rtra=on_2989 on theBenchmark for (2989ds/338Mi)
% 8.44/1.73 % (1085626)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2940979553:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/28Mi)
% 8.44/1.73 % (1085626)Instruction limit reached!
% 8.44/1.73 % (1085626)------------------------------
% 8.44/1.73 % (1085626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.44/1.73 % (1085626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/1.73 % (1085626)CaDiCaL version: 2.1.3
% 8.44/1.73 % (1085626)Termination reason: Instruction limit
% 8.44/1.73 % (1085626)Termination phase: Property scanning
% 8.44/1.73 % (1085626)Time elapsed: 0.012 s
% 8.44/1.73 % (1085626)Peak memory usage: 11 MB
% 8.44/1.73 % (1085626)Instructions burned: 29 (million)
% 8.44/1.73 % (1085510)Instruction limit reached!
% 8.44/1.73 % (1085510)------------------------------
% 8.44/1.73 % (1085510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.44/1.73 % (1085510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/1.73 % (1085510)CaDiCaL version: 2.1.3
% 8.44/1.73 % (1085510)Termination reason: Instruction limit
% 8.44/1.73 % (1085510)Termination phase: Saturation
% 8.44/1.73 % (1085510)Time elapsed: 0.282 s
% 8.44/1.73 % (1085510)Peak memory usage: 16 MB
% 8.44/1.73 % (1085510)Instructions burned: 572 (million)
% 8.44/1.73 % (1085627)Instruction limit reached!
% 8.44/1.73 % (1085627)------------------------------
% 8.44/1.73 % (1085627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.44/1.73 % (1085627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/1.73 % (1085627)CaDiCaL version: 2.1.3
% 8.44/1.73 % (1085627)Termination reason: Instruction limit
% 8.44/1.73 % (1085627)Termination phase: Saturation
% 8.44/1.73 % (1085627)Time elapsed: 0.032 s
% 8.44/1.73 % (1085627)Peak memory usage: 13 MB
% 8.44/1.73 % (1085627)Instructions burned: 137 (million)
% 8.44/1.73 % (1085501)Instruction limit reached!
% 8.44/1.73 % (1085501)------------------------------
% 8.44/1.73 % (1085501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.44/1.73 % (1085501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/1.73 % (1085501)CaDiCaL version: 2.1.3
% 8.44/1.73 % (1085501)Termination reason: Instruction limit
% 8.44/1.73 % (1085501)Termination phase: Saturation
% 8.44/1.73 % (1085501)Time elapsed: 0.424 s
% 8.44/1.73 % (1085501)Peak memory usage: 15 MB
% 8.44/1.73 % (1085501)Instructions burned: 874 (million)
% 8.44/1.73 % (1085639)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=180631459:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/340Mi)
% 8.44/1.73 % (1085647)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 8.44/1.73 % (1085642)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=981166503:i=227:sd=1:bd=all:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/227Mi)
% 8.44/1.73 % (1085647)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=373577695:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/373Mi)
% 8.44/1.73 % (1085552)Instruction limit reached!
% 8.44/1.73 % (1085552)------------------------------
% 8.44/1.73 % (1085552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.44/1.73 % (1085552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/1.73 % (1085552)CaDiCaL version: 2.1.3
% 8.44/1.73 % (1085552)Termination reason: Instruction limit
% 8.44/1.73 % (1085552)Termination phase: Saturation
% 8.44/1.73 % (1085552)Time elapsed: 0.203 s
% 8.44/1.73 % (1085552)Peak memory usage: 14 MB
% 8.44/1.73 % (1085552)Instructions burned: 376 (million)
% 8.44/1.73 % (1085651)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2522068490:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 8.44/1.73 % (1085658)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3763628060:i=575:rtra=on_2988 on theBenchmark for (2988ds/575Mi)
% 8.44/1.73 % (1085651)Instruction limit reached!
% 8.44/1.73 % (1085651)------------------------------
% 9.46/1.93 % (1085651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.93 % (1085651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.93 % (1085651)CaDiCaL version: 2.1.3
% 9.46/1.93 % (1085651)Termination reason: Instruction limit
% 9.46/1.93 % (1085651)Termination phase: Saturation
% 9.46/1.93 % (1085651)Time elapsed: 0.059 s
% 9.46/1.93 % (1085651)Peak memory usage: 14 MB
% 9.46/1.93 % (1085651)Instructions burned: 117 (million)
% 9.46/1.93 % (1085695)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4223708632:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2988 on theBenchmark for (2988ds/270Mi)
% 9.46/1.93 % (1085647)Instruction limit reached!
% 9.46/1.93 % (1085647)------------------------------
% 9.46/1.93 % (1085647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.93 % (1085647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.93 % (1085647)CaDiCaL version: 2.1.3
% 9.46/1.93 % (1085647)Termination reason: Instruction limit
% 9.46/1.93 % (1085647)Termination phase: Saturation
% 9.46/1.93 % (1085647)Time elapsed: 0.091 s
% 9.46/1.93 % (1085647)Peak memory usage: 13 MB
% 9.46/1.93 % (1085647)Instructions burned: 374 (million)
% 9.46/1.93 % (1085703)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=3306958837: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_2987 on theBenchmark for (2987ds/9840Mi)
% 9.46/1.93 % (1085625)Instruction limit reached!
% 9.46/1.93 % (1085625)------------------------------
% 9.46/1.93 % (1085625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.93 % (1085625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.93 % (1085625)CaDiCaL version: 2.1.3
% 9.46/1.93 % (1085625)Termination reason: Instruction limit
% 9.46/1.93 % (1085625)Termination phase: Saturation
% 9.46/1.93 % (1085625)Time elapsed: 0.152 s
% 9.46/1.93 % (1085625)Peak memory usage: 15 MB
% 9.46/1.93 % (1085625)Instructions burned: 339 (million)
% 9.46/1.93 % (1085642)Instruction limit reached!
% 9.46/1.93 % (1085642)------------------------------
% 9.46/1.93 % (1085642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.93 % (1085642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.93 % (1085642)CaDiCaL version: 2.1.3
% 9.46/1.93 % (1085642)Termination reason: Instruction limit
% 9.46/1.93 % (1085642)Termination phase: Saturation
% 9.46/1.93 % (1085642)Time elapsed: 0.116 s
% 9.46/1.93 % (1085642)Peak memory usage: 13 MB
% 9.46/1.93 % (1085642)Instructions burned: 228 (million)
% 9.46/1.93 % (1085708)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
% 9.46/1.93 % (1085707)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2910940229:i=421:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/421Mi)
% 9.46/1.93 % (1085708)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=3556478322:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/270Mi)
% 9.46/1.93 % (1085639)Instruction limit reached!
% 9.46/1.93 % (1085639)------------------------------
% 9.46/1.93 % (1085639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.93 % (1085639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.93 % (1085639)CaDiCaL version: 2.1.3
% 9.46/1.93 % (1085639)Termination reason: Instruction limit
% 9.46/1.93 % (1085639)Termination phase: Saturation
% 9.46/1.93 % (1085639)Time elapsed: 0.145 s
% 9.46/1.93 % (1085639)Peak memory usage: 13 MB
% 9.46/1.93 % (1085639)Instructions burned: 341 (million)
% 9.46/1.93 % (1085711)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2207981419:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/31Mi)
% 9.46/1.93 % (1085708)Refutation not found, incomplete strategy
% 9.46/1.93 % (1085708)------------------------------
% 9.46/1.93 % (1085708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.93 % (1085708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.24/2.26 % (1085708)CaDiCaL version: 2.1.3
% 13.24/2.26 % (1085708)Termination reason: Refutation not found, incomplete strategy
% 13.24/2.26 % (1085708)Time elapsed: 0.030 s
% 13.24/2.26 % (1085708)Peak memory usage: 13 MB
% 13.24/2.26 % (1085708)Instructions burned: 66 (million)
% 13.24/2.26 % (1085708)------------------------------
% 13.24/2.26 % (1085708)------------------------------
% 13.24/2.26 % (1085711)Instruction limit reached!
% 13.24/2.26 % (1085711)------------------------------
% 13.24/2.26 % (1085711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.24/2.26 % (1085711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.24/2.26 % (1085711)CaDiCaL version: 2.1.3
% 13.24/2.26 % (1085711)Termination reason: Instruction limit
% 13.24/2.26 % (1085711)Termination phase: Property scanning
% 13.24/2.26 % (1085711)Time elapsed: 0.014 s
% 13.24/2.26 % (1085711)Peak memory usage: 10 MB
% 13.24/2.26 % (1085711)Instructions burned: 33 (million)
% 13.24/2.26 % (1085713)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 13.24/2.26 % (1085713)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
% 13.24/2.26 % (1085713)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=899498840:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2987 on theBenchmark for (2987ds/1440Mi)
% 13.24/2.26 % (1085714)dis+10_2_sil=128000:si=on:random_seed=1846826890:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2987 on theBenchmark for (2987ds/339Mi)
% 13.24/2.26 % (1085695)Instruction limit reached!
% 13.24/2.26 % (1085695)------------------------------
% 13.24/2.26 % (1085695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.24/2.26 % (1085695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.24/2.26 % (1085695)CaDiCaL version: 2.1.3
% 13.24/2.26 % (1085695)Termination reason: Instruction limit
% 13.24/2.26 % (1085695)Termination phase: Saturation
% 13.24/2.26 % (1085695)Time elapsed: 0.131 s
% 13.24/2.26 % (1085695)Peak memory usage: 14 MB
% 13.24/2.26 % (1085695)Instructions burned: 272 (million)
% 13.24/2.26 % (1085717)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2249800421:i=111:add=on:fgj=on:rtra=on:fdi=1024_2986 on theBenchmark for (2986ds/111Mi)
% 13.24/2.26 % (1085717)Instruction limit reached!
% 13.24/2.26 % (1085717)------------------------------
% 13.24/2.26 % (1085717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.24/2.26 % (1085717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.24/2.26 % (1085717)CaDiCaL version: 2.1.3
% 13.24/2.26 % (1085717)Termination reason: Instruction limit
% 13.24/2.26 % (1085717)Termination phase: Saturation
% 13.24/2.26 % (1085717)Time elapsed: 0.054 s
% 13.24/2.26 % (1085717)Peak memory usage: 13 MB
% 13.24/2.26 % (1085717)Instructions burned: 111 (million)
% 13.24/2.26 % (1085658)Instruction limit reached!
% 13.24/2.26 % (1085658)------------------------------
% 13.24/2.26 % (1085658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.24/2.26 % (1085658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.24/2.26 % (1085658)CaDiCaL version: 2.1.3
% 13.24/2.26 % (1085658)Termination reason: Instruction limit
% 13.24/2.26 % (1085658)Termination phase: Saturation
% 13.24/2.26 % (1085658)Time elapsed: 0.277 s
% 13.24/2.26 % (1085658)Peak memory usage: 15 MB
% 13.24/2.26 % (1085658)Instructions burned: 575 (million)
% 13.24/2.26 % (1085719)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=2056622334:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/122Mi)
% 13.24/2.26 % (1085720)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=3373378007:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/136Mi)
% 13.24/2.26 % (1085714)Instruction limit reached!
% 13.24/2.26 % (1085714)------------------------------
% 13.24/2.26 % (1085714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.24/2.26 % (1085714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.42 % (1085714)CaDiCaL version: 2.1.3
% 14.49/2.42 % (1085714)Termination reason: Instruction limit
% 14.49/2.42 % (1085714)Termination phase: Saturation
% 14.49/2.42 % (1085714)Time elapsed: 0.141 s
% 14.49/2.42 % (1085714)Peak memory usage: 13 MB
% 14.49/2.42 % (1085714)Instructions burned: 341 (million)
% 14.49/2.42 % (1085707)Instruction limit reached!
% 14.49/2.42 % (1085707)------------------------------
% 14.49/2.42 % (1085707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.49/2.42 % (1085707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.42 % (1085707)CaDiCaL version: 2.1.3
% 14.49/2.42 % (1085707)Termination reason: Instruction limit
% 14.49/2.42 % (1085707)Termination phase: Saturation
% 14.49/2.42 % (1085707)Time elapsed: 0.205 s
% 14.49/2.42 % (1085707)Peak memory usage: 15 MB
% 14.49/2.42 % (1085707)Instructions burned: 422 (million)
% 14.49/2.42 % (1085723)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2617441313:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/232Mi)
% 14.49/2.42 % (1085724)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=103001450:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2985 on theBenchmark for (2985ds/1254Mi)
% 14.49/2.42 % (1085719)Instruction limit reached!
% 14.49/2.42 % (1085719)------------------------------
% 14.49/2.42 % (1085719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.49/2.42 % (1085719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.42 % (1085719)CaDiCaL version: 2.1.3
% 14.49/2.42 % (1085719)Termination reason: Instruction limit
% 14.49/2.42 % (1085719)Termination phase: Saturation
% 14.49/2.42 % (1085719)Time elapsed: 0.054 s
% 14.49/2.42 % (1085719)Peak memory usage: 13 MB
% 14.49/2.42 % (1085719)Instructions burned: 125 (million)
% 14.49/2.42 % (1085727)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 14.49/2.42 % (1085727)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=1246612:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2985 on theBenchmark for (2985ds/281Mi)
% 14.49/2.42 % (1085720)Instruction limit reached!
% 14.49/2.42 % (1085720)------------------------------
% 14.49/2.42 % (1085720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.49/2.42 % (1085720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.42 % (1085720)CaDiCaL version: 2.1.3
% 14.49/2.42 % (1085720)Termination reason: Instruction limit
% 14.49/2.42 % (1085720)Termination phase: Saturation
% 14.49/2.42 % (1085720)Time elapsed: 0.066 s
% 14.49/2.42 % (1085720)Peak memory usage: 13 MB
% 14.49/2.42 % (1085720)Instructions burned: 136 (million)
% 14.49/2.42 % (1085729)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3443310273:i=619:add=on:rtra=on_2984 on theBenchmark for (2984ds/619Mi)
% 14.49/2.42 % (1085723)Instruction limit reached!
% 14.49/2.42 % (1085723)------------------------------
% 14.49/2.42 % (1085723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.49/2.42 % (1085723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.42 % (1085723)CaDiCaL version: 2.1.3
% 14.49/2.42 % (1085723)Termination reason: Instruction limit
% 14.49/2.42 % (1085723)Termination phase: Saturation
% 14.49/2.42 % (1085723)Time elapsed: 0.126 s
% 14.49/2.42 % (1085723)Peak memory usage: 15 MB
% 14.49/2.42 % (1085723)Instructions burned: 233 (million)
% 14.49/2.42 % (1085731)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=1618159129:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/865Mi)
% 14.49/2.42 % (1085727)Instruction limit reached!
% 14.49/2.42 % (1085727)------------------------------
% 14.49/2.42 % (1085727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.49/2.42 % (1085727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.42 % (1085727)CaDiCaL version: 2.1.3
% 14.49/2.42 % (1085727)Termination reason: Instruction limit
% 14.49/2.42 % (1085727)Termination phase: Saturation
% 14.49/2.42 % (1085727)Time elapsed: 0.121 s
% 14.49/2.42 % (1085727)Peak memory usage: 14 MB
% 14.49/2.42 % (1085727)Instructions burned: 283 (million)
% 14.49/2.42 % (1085733)lrs+10_1_sil=128000:si=on:urr=on:random_seed=465094128:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2983 on theBenchmark for (2983ds/212Mi)
% 15.92/2.70 % (1085733)Instruction limit reached!
% 15.92/2.70 % (1085733)------------------------------
% 15.92/2.70 % (1085733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.70 % (1085733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.70 % (1085733)CaDiCaL version: 2.1.3
% 15.92/2.70 % (1085733)Termination reason: Instruction limit
% 15.92/2.70 % (1085733)Termination phase: Saturation
% 15.92/2.70 % (1085733)Time elapsed: 0.114 s
% 15.92/2.70 % (1085733)Peak memory usage: 14 MB
% 15.92/2.70 % (1085733)Instructions burned: 213 (million)
% 15.92/2.70 % (1085735)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=4287437288:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/130Mi)
% 15.92/2.70 % (1085729)Instruction limit reached!
% 15.92/2.70 % (1085729)------------------------------
% 15.92/2.70 % (1085729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.70 % (1085729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.70 % (1085729)CaDiCaL version: 2.1.3
% 15.92/2.70 % (1085729)Termination reason: Instruction limit
% 15.92/2.70 % (1085729)Termination phase: Saturation
% 15.92/2.70 % (1085729)Time elapsed: 0.270 s
% 15.92/2.70 % (1085729)Peak memory usage: 14 MB
% 15.92/2.70 % (1085729)Instructions burned: 621 (million)
% 15.92/2.70 % (1085737)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2613695322:st=1.5:i=346:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/346Mi)
% 15.92/2.70 % (1085735)Instruction limit reached!
% 15.92/2.70 % (1085735)------------------------------
% 15.92/2.70 % (1085735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.70 % (1085735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.70 % (1085735)CaDiCaL version: 2.1.3
% 15.92/2.70 % (1085735)Termination reason: Instruction limit
% 15.92/2.70 % (1085735)Termination phase: Saturation
% 15.92/2.70 % (1085735)Time elapsed: 0.058 s
% 15.92/2.70 % (1085735)Peak memory usage: 13 MB
% 15.92/2.70 % (1085735)Instructions burned: 130 (million)
% 15.92/2.70 % (1085739)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3558218240:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2981 on theBenchmark for (2981ds/152Mi)
% 15.92/2.70 % (1085739)Instruction limit reached!
% 15.92/2.70 % (1085739)------------------------------
% 15.92/2.70 % (1085739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.70 % (1085739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.70 % (1085739)CaDiCaL version: 2.1.3
% 15.92/2.70 % (1085739)Termination reason: Instruction limit
% 15.92/2.70 % (1085739)Termination phase: Saturation
% 15.92/2.70 % (1085739)Time elapsed: 0.065 s
% 15.92/2.70 % (1085739)Peak memory usage: 13 MB
% 15.92/2.70 % (1085739)Instructions burned: 153 (million)
% 15.92/2.70 % (1085741)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3044734984:i=75:ep=R:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/75Mi)
% 15.92/2.70 % (1085737)Instruction limit reached!
% 15.92/2.70 % (1085737)------------------------------
% 15.92/2.70 % (1085737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.70 % (1085737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.70 % (1085737)CaDiCaL version: 2.1.3
% 15.92/2.70 % (1085737)Termination reason: Instruction limit
% 15.92/2.70 % (1085737)Termination phase: Saturation
% 15.92/2.70 % (1085737)Time elapsed: 0.140 s
% 15.92/2.70 % (1085737)Peak memory usage: 14 MB
% 15.92/2.70 % (1085737)Instructions burned: 347 (million)
% 15.92/2.70 % (1085743)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2697030676:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/387Mi)
% 15.92/2.70 % (1085741)Instruction limit reached!
% 15.92/2.70 % (1085741)------------------------------
% 15.92/2.70 % (1085741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.70 % (1085741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.70 % (1085741)CaDiCaL version: 2.1.3
% 15.92/2.70 % (1085741)Termination reason: Instruction limit
% 15.92/2.70 % (1085741)Termination phase: Saturation
% 15.92/2.70 % (1085741)Time elapsed: 0.033 s
% 15.92/2.70 % (1085741)Peak memory usage: 13 MB
% 15.92/2.70 % (1085741)Instructions burned: 75 (million)
% 17.56/2.90 % (1085731)Instruction limit reached!
% 17.56/2.90 % (1085731)------------------------------
% 17.56/2.90 % (1085731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/2.90 % (1085731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/2.90 % (1085731)CaDiCaL version: 2.1.3
% 17.56/2.90 % (1085731)Termination reason: Instruction limit
% 17.56/2.90 % (1085731)Termination phase: Saturation
% 17.56/2.90 % (1085731)Time elapsed: 0.373 s
% 17.56/2.90 % (1085731)Peak memory usage: 15 MB
% 17.56/2.90 % (1085731)Instructions burned: 866 (million)
% 17.56/2.90 % (1085713)Instruction limit reached!
% 17.56/2.90 % (1085713)------------------------------
% 17.56/2.90 % (1085713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/2.90 % (1085713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/2.90 % (1085713)CaDiCaL version: 2.1.3
% 17.56/2.90 % (1085713)Termination reason: Instruction limit
% 17.56/2.90 % (1085713)Termination phase: Saturation
% 17.56/2.90 % (1085713)Time elapsed: 0.689 s
% 17.56/2.90 % (1085713)Peak memory usage: 22 MB
% 17.56/2.90 % (1085713)Instructions burned: 1442 (million)
% 17.56/2.90 % (1085745)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=3637495375:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2980 on theBenchmark for (2980ds/148Mi)
% 17.56/2.90 % (1085746)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1058990662:i=161:piset=and:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/161Mi)
% 17.56/2.90 % (1085747)lrs+10_1_sil=128000:si=on:random_seed=3269673600:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/888Mi)
% 17.56/2.90 % (1085745)Instruction limit reached!
% 17.56/2.90 % (1085745)------------------------------
% 17.56/2.90 % (1085745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/2.90 % (1085745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/2.90 % (1085745)CaDiCaL version: 2.1.3
% 17.56/2.90 % (1085745)Termination reason: Instruction limit
% 17.56/2.90 % (1085745)Termination phase: Saturation
% 17.56/2.90 % (1085745)Time elapsed: 0.073 s
% 17.56/2.90 % (1085745)Peak memory usage: 13 MB
% 17.56/2.90 % (1085745)Instructions burned: 150 (million)
% 17.56/2.90 % (1085746)Instruction limit reached!
% 17.56/2.90 % (1085746)------------------------------
% 17.56/2.90 % (1085746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/2.90 % (1085746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/2.90 % (1085746)CaDiCaL version: 2.1.3
% 17.56/2.90 % (1085746)Termination reason: Instruction limit
% 17.56/2.90 % (1085746)Termination phase: Saturation
% 17.56/2.90 % (1085746)Time elapsed: 0.072 s
% 17.56/2.90 % (1085746)Peak memory usage: 13 MB
% 17.56/2.90 % (1085746)Instructions burned: 161 (million)
% 17.56/2.90 % (1085751)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=1732455395:i=136:add=on:ins=4:rtra=on:sup=off_2979 on theBenchmark for (2979ds/136Mi)
% 17.56/2.90 % (1085752)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=2116374228:i=88:s2at=3:nm=2:rtra=on:rawr=on_2979 on theBenchmark for (2979ds/88Mi)
% 17.56/2.90 % (1085724)Instruction limit reached!
% 17.56/2.90 % (1085724)------------------------------
% 17.56/2.90 % (1085724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/2.90 % (1085724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/2.90 % (1085724)CaDiCaL version: 2.1.3
% 17.56/2.90 % (1085724)Termination reason: Instruction limit
% 17.56/2.90 % (1085724)Termination phase: Saturation
% 17.56/2.90 % (1085724)Time elapsed: 0.661 s
% 17.56/2.90 % (1085724)Peak memory usage: 24 MB
% 17.56/2.90 % (1085724)Instructions burned: 1256 (million)
% 17.56/2.90 % (1085752)Instruction limit reached!
% 17.56/2.90 % (1085752)------------------------------
% 17.56/2.90 % (1085752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/2.90 % (1085752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/2.90 % (1085752)CaDiCaL version: 2.1.3
% 17.56/2.90 % (1085752)Termination reason: Instruction limit
% 17.56/2.90 % (1085752)Termination phase: Saturation
% 17.56/2.90 % (1085752)Time elapsed: 0.038 s
% 17.56/2.90 % (1085752)Peak memory usage: 13 MB
% 17.56/2.90 % (1085752)Instructions burned: 88 (million)
% 20.01/3.13 % (1085755)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1535597882:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2978 on theBenchmark for (2978ds/93Mi)
% 20.01/3.13 % (1085756)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1948415498:i=2186:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/2186Mi)
% 20.01/3.13 % (1085751)Instruction limit reached!
% 20.01/3.13 % (1085751)------------------------------
% 20.01/3.13 % (1085751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.13 % (1085751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.13 % (1085751)CaDiCaL version: 2.1.3
% 20.01/3.13 % (1085751)Termination reason: Instruction limit
% 20.01/3.13 % (1085751)Termination phase: Saturation
% 20.01/3.13 % (1085751)Time elapsed: 0.066 s
% 20.01/3.13 % (1085751)Peak memory usage: 13 MB
% 20.01/3.13 % (1085751)Instructions burned: 138 (million)
% 20.01/3.13 % (1085743)Instruction limit reached!
% 20.01/3.13 % (1085743)------------------------------
% 20.01/3.13 % (1085743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.13 % (1085743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.13 % (1085743)CaDiCaL version: 2.1.3
% 20.01/3.13 % (1085743)Termination reason: Instruction limit
% 20.01/3.13 % (1085743)Termination phase: Saturation
% 20.01/3.13 % (1085743)Time elapsed: 0.193 s
% 20.01/3.13 % (1085743)Peak memory usage: 15 MB
% 20.01/3.13 % (1085743)Instructions burned: 387 (million)
% 20.01/3.13 % (1085759)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=751543110:s2a=on:i=240:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/240Mi)
% 20.01/3.13 % (1085760)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1038953909:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2978 on theBenchmark for (2978ds/805Mi)
% 20.01/3.13 % (1085755)Instruction limit reached!
% 20.01/3.13 % (1085755)------------------------------
% 20.01/3.13 % (1085755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.13 % (1085755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.13 % (1085755)CaDiCaL version: 2.1.3
% 20.01/3.13 % (1085755)Termination reason: Instruction limit
% 20.01/3.13 % (1085755)Termination phase: Saturation
% 20.01/3.13 % (1085755)Time elapsed: 0.040 s
% 20.01/3.13 % (1085755)Peak memory usage: 13 MB
% 20.01/3.13 % (1085755)Instructions burned: 95 (million)
% 20.01/3.13 % (1085763)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 20.01/3.13 % (1085763)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=3501196841:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2977 on theBenchmark for (2977ds/391Mi)
% 20.01/3.13 % (1085759)Instruction limit reached!
% 20.01/3.13 % (1085759)------------------------------
% 20.01/3.13 % (1085759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.13 % (1085759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.13 % (1085759)CaDiCaL version: 2.1.3
% 20.01/3.13 % (1085759)Termination reason: Instruction limit
% 20.01/3.13 % (1085759)Termination phase: Saturation
% 20.01/3.13 % (1085759)Time elapsed: 0.119 s
% 20.01/3.13 % (1085759)Peak memory usage: 14 MB
% 20.01/3.13 % (1085759)Instructions burned: 241 (million)
% 20.01/3.13 % (1085765)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1568775041:i=355:av=off:fsr=off:rtra=on:ixr=off_2976 on theBenchmark for (2976ds/355Mi)
% 20.01/3.13 % (1085763)Instruction limit reached!
% 20.01/3.13 % (1085763)------------------------------
% 20.01/3.13 % (1085763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.13 % (1085763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.13 % (1085763)CaDiCaL version: 2.1.3
% 20.01/3.13 % (1085763)Termination reason: Instruction limit
% 20.01/3.13 % (1085763)Termination phase: Saturation
% 20.01/3.13 % (1085763)Time elapsed: 0.182 s
% 20.01/3.13 % (1085763)Peak memory usage: 14 MB
% 20.01/3.13 % (1085763)Instructions burned: 392 (million)
% 20.01/3.13 % (1085747)Instruction limit reached!
% 20.01/3.13 % (1085747)------------------------------
% 20.01/3.13 % (1085747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085747)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085747)Termination reason: Instruction limit
% 20.44/3.24 % (1085747)Termination phase: Saturation
% 20.44/3.24 % (1085747)Time elapsed: 0.406 s
% 20.44/3.24 % (1085747)Peak memory usage: 16 MB
% 20.44/3.24 % (1085747)Instructions burned: 891 (million)
% 20.44/3.24 % (1085767)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1600564723:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/314Mi)
% 20.44/3.24 % (1085768)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=4128424021:s2a=on:i=251:fsr=off:rtra=on_2975 on theBenchmark for (2975ds/251Mi)
% 20.44/3.24 % (1085760)Refutation not found, incomplete strategy
% 20.44/3.24 % (1085760)------------------------------
% 20.44/3.24 % (1085760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085760)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085760)Termination reason: Refutation not found, incomplete strategy
% 20.44/3.24 % (1085760)Time elapsed: 0.266 s
% 20.44/3.24 % (1085760)Peak memory usage: 19 MB
% 20.44/3.24 % (1085760)Instructions burned: 585 (million)
% 20.44/3.24 % (1085760)------------------------------
% 20.44/3.24 % (1085760)------------------------------
% 20.44/3.24 % (1085771)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=1930026828:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2975 on theBenchmark for (2975ds/2470Mi)
% 20.44/3.24 % (1085765)Instruction limit reached!
% 20.44/3.24 % (1085765)------------------------------
% 20.44/3.24 % (1085765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085765)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085765)Termination reason: Instruction limit
% 20.44/3.24 % (1085765)Termination phase: Saturation
% 20.44/3.24 % (1085765)Time elapsed: 0.176 s
% 20.44/3.24 % (1085765)Peak memory usage: 14 MB
% 20.44/3.24 % (1085765)Instructions burned: 357 (million)
% 20.44/3.24 % (1085773)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1607153907:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2974 on theBenchmark for (2974ds/673Mi)
% 20.44/3.24 % (1085768)Instruction limit reached!
% 20.44/3.24 % (1085768)------------------------------
% 20.44/3.24 % (1085768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085768)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085768)Termination reason: Instruction limit
% 20.44/3.24 % (1085768)Termination phase: Saturation
% 20.44/3.24 % (1085768)Time elapsed: 0.104 s
% 20.44/3.24 % (1085768)Peak memory usage: 13 MB
% 20.44/3.24 % (1085768)Instructions burned: 253 (million)
% 20.44/3.24 % (1085775)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2825707263:i=116:ep=RSTC:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/116Mi)
% 20.44/3.24 % (1085767)Instruction limit reached!
% 20.44/3.24 % (1085767)------------------------------
% 20.44/3.24 % (1085767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085767)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085767)Termination reason: Instruction limit
% 20.44/3.24 % (1085767)Termination phase: Saturation
% 20.44/3.24 % (1085767)Time elapsed: 0.162 s
% 20.44/3.24 % (1085767)Peak memory usage: 14 MB
% 20.44/3.24 % (1085767)Instructions burned: 314 (million)
% 20.44/3.24 % (1085777)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3361138124:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2974 on theBenchmark for (2974ds/270Mi)
% 20.44/3.24 % (1085775)Instruction limit reached!
% 20.44/3.24 % (1085775)------------------------------
% 20.44/3.24 % (1085775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085775)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085775)Termination reason: Instruction limit
% 20.44/3.24 % (1085775)Termination phase: Saturation
% 20.44/3.24 % (1085775)Time elapsed: 0.057 s
% 20.44/3.24 % (1085775)Peak memory usage: 14 MB
% 20.44/3.24 % (1085775)Instructions burned: 116 (million)
% 20.44/3.24 % (1085779)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=3698268469:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2973 on theBenchmark for (2973ds/30Mi)
% 20.44/3.24 % (1085779)Instruction limit reached!
% 20.44/3.24 % (1085779)------------------------------
% 20.44/3.24 % (1085779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085779)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085779)Termination reason: Instruction limit
% 20.44/3.24 % (1085779)Termination phase: Property scanning
% 20.44/3.24 % (1085779)Time elapsed: 0.015 s
% 20.44/3.24 % (1085779)Peak memory usage: 11 MB
% 20.44/3.24 % (1085779)Instructions burned: 31 (million)
% 20.44/3.24 % (1085781)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 20.44/3.24 % (1085781)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1762617245:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2973 on theBenchmark for (2973ds/39Mi)
% 20.44/3.24 % (1085781)Instruction limit reached!
% 20.44/3.24 % (1085781)------------------------------
% 20.44/3.24 % (1085781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085781)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085781)Termination reason: Instruction limit
% 20.44/3.24 % (1085781)Termination phase: Saturation
% 20.44/3.24 % (1085781)Time elapsed: 0.016 s
% 20.44/3.24 % (1085781)Peak memory usage: 11 MB
% 20.44/3.24 % (1085781)Instructions burned: 39 (million)
% 20.44/3.24 % (1085783)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2219018414:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2973 on theBenchmark for (2973ds/365Mi)
% 20.44/3.24 % (1085777)Instruction limit reached!
% 20.44/3.24 % (1085777)------------------------------
% 20.44/3.24 % (1085777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085777)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085777)Termination reason: Instruction limit
% 20.44/3.24 % (1085777)Termination phase: Saturation
% 20.44/3.24 % (1085777)Time elapsed: 0.128 s
% 20.44/3.24 % (1085777)Peak memory usage: 14 MB
% 20.44/3.24 % (1085777)Instructions burned: 271 (million)
% 20.44/3.24 % (1085785)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1789704186:i=158:av=off:rtra=on_2972 on theBenchmark for (2972ds/158Mi)
% 20.44/3.24 % (1085785)Instruction limit reached!
% 20.44/3.24 % (1085785)------------------------------
% 20.44/3.24 % (1085785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085785)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085785)Termination reason: Instruction limit
% 20.44/3.24 % (1085785)Termination phase: Saturation
% 20.44/3.24 % (1085785)Time elapsed: 0.080 s
% 20.44/3.24 % (1085785)Peak memory usage: 13 MB
% 20.44/3.24 % (1085785)Instructions burned: 159 (million)
% 20.44/3.24 % (1085773)Instruction limit reached!
% 20.44/3.24 % (1085773)------------------------------
% 20.44/3.24 % (1085773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085773)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085773)Termination reason: Instruction limit
% 20.44/3.24 % (1085773)Termination phase: Saturation
% 20.44/3.24 % (1085773)Time elapsed: 0.330 s
% 20.44/3.24 % (1085773)Peak memory usage: 14 MB
% 20.44/3.24 % (1085773)Instructions burned: 675 (million)
% 20.44/3.24 % (1085787)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
% 20.44/3.24 % (1085787)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=4101421208:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/252Mi)
% 20.44/3.24 % (1085788)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2893393210:i=213:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/213Mi)
% 20.44/3.24 % (1085783)Instruction limit reached!
% 20.44/3.24 % (1085783)------------------------------
% 20.44/3.24 % (1085783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085783)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085783)Termination reason: Instruction limit
% 20.44/3.24 % (1085783)Termination phase: Saturation
% 20.44/3.24 % (1085783)Time elapsed: 0.162 s
% 20.44/3.24 % (1085783)Peak memory usage: 17 MB
% 20.44/3.24 % (1085783)Instructions burned: 367 (million)
% 20.44/3.24 % (1085787)Refutation not found, incomplete strategy
% 20.44/3.24 % (1085787)------------------------------
% 20.44/3.24 % (1085787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085787)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085787)Termination reason: Refutation not found, incomplete strategy
% 20.44/3.24 % (1085787)Time elapsed: 0.031 s
% 20.44/3.24 % (1085787)Peak memory usage: 13 MB
% 20.44/3.24 % (1085787)Instructions burned: 67 (million)
% 20.44/3.24 % (1085787)------------------------------
% 20.44/3.24 % (1085787)------------------------------
% 20.44/3.24 % (1085791)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=1301468345:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2971 on theBenchmark for (2971ds/160Mi)
% 20.44/3.24 % (1085788)Refutation not found, incomplete strategy
% 20.44/3.24 % (1085788)------------------------------
% 20.44/3.24 % (1085788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085788)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085788)Termination reason: Refutation not found, incomplete strategy
% 20.44/3.24 % (1085788)Time elapsed: 0.027 s
% 20.44/3.24 % (1085788)Peak memory usage: 13 MB
% 20.44/3.24 % (1085788)Instructions burned: 58 (million)
% 20.44/3.24 % (1085788)------------------------------
% 20.44/3.24 % (1085788)------------------------------
% 20.44/3.24 % (1085792)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1145291674:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/763Mi)
% 20.44/3.24 % (1085794)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 20.44/3.24 % (1085794)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3082074191:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2970 on theBenchmark for (2970ds/237Mi)
% 20.44/3.24 % (1085771) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1085373-1085771"...
% 20.44/3.24 % (1085791)Refutation not found, incomplete strategy
% 20.44/3.24 % (1085791)------------------------------
% 20.44/3.24 % (1085791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.24 % (1085791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.24 % (1085791)CaDiCaL version: 2.1.3
% 20.44/3.24 % (1085791)Termination reason: Refutation not found, incomplete strategy
% 20.44/3.24 % (1085791)Time elapsed: 0.040 s
% 20.44/3.24 % (1085791)Peak memory usage: 13 MB
% 20.44/3.24 % (1085791)Instructions burned: 85 (million)
% 20.44/3.24 % (1085791)------------------------------
% 20.44/3.24 % (1085791)------------------------------
% 20.44/3.24 % (1085771)...printing done.
% 20.44/3.24 % (1085797)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3949941188:s2a=on:i=386:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/386Mi)
% 20.44/3.24 % (1085771)Refutation found. Thanks to Tanya!
% 20.44/3.24 % SZS status Theorem for theBenchmark
% 20.44/3.24 % SZS output start Proof for theBenchmark
% 20.44/3.24 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 20.44/3.24 thf(func_def_0, type, in: ($i > $i > $o)).
% 20.44/3.24 thf(func_def_1, type, exu: (($i > $o) > $o)).
% 20.44/3.24 thf(func_def_3, type, setextAx: $o).
% 20.44/3.24 thf(func_def_5, type, emptysetAx: $o).
% 20.44/3.24 thf(func_def_6, type, setadjoin: ($i > $i > $i)).
% 20.44/3.24 thf(func_def_7, type, setadjoinAx: $o).
% 20.44/3.24 thf(func_def_8, type, powerset: ($i > $i)).
% 20.44/3.24 thf(func_def_9, type, powersetAx: $o).
% 20.44/3.24 thf(func_def_10, type, setunion: ($i > $i)).
% 20.44/3.24 thf(func_def_11, type, setunionAx: $o).
% 20.44/3.24 thf(func_def_13, type, omega0Ax: $o).
% 20.44/3.24 thf(func_def_14, type, omegaSAx: $o).
% 20.44/3.24 thf(func_def_15, type, omegaIndAx: $o).
% 20.44/3.24 thf(func_def_16, type, replAx: $o).
% 20.44/3.24 thf(func_def_17, type, foundationAx: $o).
% 20.44/3.24 thf(func_def_18, type, wellorderingAx: $o).
% 20.44/3.24 thf(func_def_19, type, descr: (($i > $o) > $i)).
% 20.44/3.24 thf(func_def_20, type, descrp: $o).
% 20.44/3.24 thf(func_def_21, type, dsetconstr: ($i > ($i > $o) > $i)).
% 20.44/3.24 thf(func_def_22, type, dsetconstrI: $o).
% 20.44/3.24 thf(func_def_23, type, dsetconstrEL: $o).
% 20.44/3.24 thf(func_def_24, type, dsetconstrER: $o).
% 20.44/3.24 thf(func_def_25, type, exuE1: $o).
% 20.44/3.24 thf(func_def_26, type, prop2set: ($o > $i)).
% 20.44/3.24 thf(func_def_27, type, prop2setE: $o).
% 20.44/3.24 thf(func_def_28, type, emptysetE: $o).
% 20.44/3.24 thf(func_def_29, type, emptysetimpfalse: $o).
% 20.44/3.24 thf(func_def_30, type, notinemptyset: $o).
% 20.44/3.24 thf(func_def_31, type, exuE3e: $o).
% 20.44/3.24 thf(func_def_32, type, setext: $o).
% 20.44/3.24 thf(func_def_33, type, emptyI: $o).
% 20.44/3.24 thf(func_def_34, type, noeltsimpempty: $o).
% 20.44/3.24 thf(func_def_35, type, setbeta: $o).
% 20.44/3.24 thf(func_def_36, type, nonempty: ($i > $o)).
% 20.44/3.24 thf(func_def_37, type, nonemptyE1: $o).
% 20.44/3.24 thf(func_def_38, type, nonemptyI: $o).
% 20.44/3.24 thf(func_def_39, type, nonemptyI1: $o).
% 20.44/3.24 thf(func_def_40, type, setadjoinIL: $o).
% 20.44/3.24 thf(func_def_41, type, emptyinunitempty: $o).
% 20.44/3.24 thf(func_def_42, type, setadjoinIR: $o).
% 20.44/3.24 thf(func_def_43, type, setadjoinE: $o).
% 20.44/3.24 thf(func_def_44, type, setadjoinOr: $o).
% 20.44/3.24 thf(func_def_45, type, setoftrueEq: $o).
% 20.44/3.24 thf(func_def_46, type, powersetI: $o).
% 20.44/3.24 thf(func_def_47, type, emptyinPowerset: $o).
% 20.44/3.24 thf(func_def_48, type, emptyInPowerset: $o).
% 20.44/3.24 thf(func_def_49, type, powersetE: $o).
% 20.44/3.24 thf(func_def_50, type, setunionI: $o).
% 20.44/3.24 thf(func_def_51, type, setunionE: $o).
% 20.44/3.24 thf(func_def_52, type, subPowSU: $o).
% 20.44/3.24 thf(func_def_53, type, exuE2: $o).
% 20.44/3.24 thf(func_def_54, type, nonemptyImpWitness: $o).
% 20.44/3.24 thf(func_def_55, type, uniqinunit: $o).
% 20.44/3.24 thf(func_def_56, type, notinsingleton: $o).
% 20.44/3.24 thf(func_def_57, type, eqinunit: $o).
% 20.44/3.24 thf(func_def_58, type, singletonsswitch: $o).
% 20.44/3.24 thf(func_def_59, type, upairsetE: $o).
% 20.44/3.24 thf(func_def_60, type, upairsetIL: $o).
% 20.44/3.24 thf(func_def_61, type, upairsetIR: $o).
% 20.44/3.24 thf(func_def_62, type, emptyE1: $o).
% 20.44/3.24 thf(func_def_63, type, vacuousDall: $o).
% 20.44/3.24 thf(func_def_64, type, quantDeMorgan1: $o).
% 20.44/3.24 thf(func_def_65, type, quantDeMorgan2: $o).
% 20.44/3.24 thf(func_def_66, type, quantDeMorgan3: $o).
% 20.44/3.24 thf(func_def_67, type, quantDeMorgan4: $o).
% 20.44/3.24 thf(func_def_68, type, prop2setI: $o).
% 20.44/3.24 thf(func_def_69, type, set2prop: ($i > $o)).
% 20.44/3.24 thf(func_def_70, type, prop2set2propI: $o).
% 20.44/3.24 thf(func_def_71, type, notdexE: $o).
% 20.44/3.24 thf(func_def_72, type, notdallE: $o).
% 20.44/3.24 thf(func_def_73, type, exuI1: $o).
% 20.44/3.24 thf(func_def_74, type, exuI3: $o).
% 20.44/3.24 thf(func_def_75, type, exuI2: $o).
% 20.44/3.24 thf(func_def_76, type, inCongP: $o).
% 20.44/3.24 thf(func_def_77, type, in__Cong: $o).
% 20.44/3.24 thf(func_def_78, type, exuE3u: $o).
% 20.44/3.24 thf(func_def_79, type, exu__Cong: $o).
% 20.44/3.24 thf(func_def_80, type, emptyset__Cong: $o).
% 20.44/3.24 thf(func_def_81, type, setadjoin__Cong: $o).
% 20.44/3.24 thf(func_def_82, type, powerset__Cong: $o).
% 20.44/3.24 thf(func_def_83, type, setunion__Cong: $o).
% 20.44/3.24 thf(func_def_84, type, omega__Cong: $o).
% 20.44/3.24 thf(func_def_85, type, exuEu: $o).
% 20.44/3.24 thf(func_def_86, type, descr__Cong: $o).
% 20.44/3.24 thf(func_def_87, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 20.44/3.24 thf(func_def_88, type, vIMP: ($o > $o > $o)).
% 20.44/3.24 thf(func_def_89, type, db0: !>[X0: $tType]:(X0)).
% 20.44/3.24 thf(func_def_90, type, db1: !>[X0: $tType]:(X0)).
% 20.44/3.24 thf(func_def_91, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 20.44/3.24 thf(func_def_92, type, vIFF: ($o > $o > $o)).
% 20.44/3.24 thf(func_def_93, type, db2: !>[X0: $tType]:(X0)).
% 20.44/3.24 thf(func_def_94, type, db3: !>[X0: $tType]:(X0)).
% 20.44/3.24 thf(func_def_95, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 20.44/3.24 thf(func_def_96, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 20.44/3.24 thf(func_def_97, type, vAND: ($o > $o > $o)).
% 20.44/3.24 thf(func_def_100, type, vOR: ($o > $o > $o)).
% 20.44/3.24 thf(func_def_101, type, vNOT: ($o > $o)).
% 20.44/3.24 thf(func_def_102, type, db4: !>[X0: $tType]:(X0)).
% 20.44/3.24 thf(func_def_103, type, db5: !>[X0: $tType]:(X0)).
% 20.44/3.24 thf(func_def_107, type, sK3: ($i > $o)).
% 20.44/3.24 thf(func_def_108, type, sK4: ($i > $o)).
% 20.44/3.24 thf(func_def_109, type, sK5: ($i > $i)).
% 20.44/3.24 thf(func_def_110, type, sK6: ($i > $i)).
% 20.44/3.24 thf(func_def_111, type, sK7: ($i > $i > $i)).
% 20.44/3.24 thf(func_def_112, type, sK8: ($i > $i > $i)).
% 20.44/3.24 thf(func_def_113, type, sK9: (($i > $o) > $i > $i)).
% 20.44/3.24 thf(f2,axiom,(
% 20.44/3.24 (setextAx = ! [X1 : $i,X0 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) <=> (in @ X2 @ X1)) => (X0 = X1)))),
% 20.44/3.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextAx)).
% 20.44/3.24 thf(f14,axiom,(
% 20.44/3.24 (dsetconstrI = ! [X2 : $i,X0 : $i,X1 : ($i > $o)] : ((in @ X2 @ X0) => ((X1 @ X2) => (in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : ((X1 @ X3))))))))),
% 20.44/3.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrI)).
% 20.44/3.24 thf(f15,axiom,(
% 20.44/3.24 (! [X0 : $i,X2 : $i,X1 : ($i > $o)] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : ((X1 @ X3))))) => (in @ X2 @ X0)) = dsetconstrEL)),
% 20.44/3.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrEL)).
% 20.44/3.24 thf(f16,axiom,(
% 20.44/3.24 (! [X1 : ($i > $o),X0 : $i,X2 : $i] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : ((X1 @ X3))))) => (X1 @ X2)) = dsetconstrER)),
% 20.44/3.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrER)).
% 20.44/3.24 thf(f77,conjecture,(
% 20.44/3.24 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => ! [X0 : $i,X1 : $i] : ((X0 = X1) => ! [X2 : ($i > $o),X3 : ($i > $o)] : (! [X4 : $i] : ((in @ X4 @ X0) => ! [X5 : $i] : ((in @ X5 @ X1) => ((X4 = X5) => ((X2 @ X4) <=> (X3 @ X5))))) => (((dsetconstr @ X0 @ (^[X4 : $i] : ((X2 @ X4))))) = ((dsetconstr @ X1 @ (^[X4 : $i] : ((X3 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 20.44/3.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstr__Cong)).
% 20.44/3.24 thf(f78,negated_conjecture,(
% 20.44/3.24 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => ! [X0 : $i,X1 : $i] : ((X0 = X1) => ! [X2 : ($i > $o),X3 : ($i > $o)] : (! [X4 : $i] : ((in @ X4 @ X0) => ! [X5 : $i] : ((in @ X5 @ X1) => ((X4 = X5) => ((X2 @ X4) <=> (X3 @ X5))))) => (((dsetconstr @ X0 @ (^[X4 : $i] : ((X2 @ X4))))) = ((dsetconstr @ X1 @ (^[X4 : $i] : ((X3 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 20.44/3.24 inference(negated_conjecture,[status(cth)],[f77])).
% 20.44/3.24 thf(f85,plain,(
% 20.44/3.24 (! [X0 : ($i > $o),X1 : $i,X2 : $i] : ((in @ X2 @ (dsetconstr @ X1 @ (^[X3 : $i] : ((X0 @ X3))))) => (X0 @ X2)) = dsetconstrER)),
% 20.44/3.24 inference(rectify,[],[f16])).
% 20.44/3.24 thf(f86,plain,(
% 20.44/3.24 (dsetconstrER = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y2 @ Y3)))) => (Y2 @ Y0))))))))))),
% 20.44/3.24 inference(fool_elimination,[],[f85])).
% 20.44/3.24 thf(f115,plain,(
% 20.44/3.24 (! [X0 : $i,X1 : $i,X2 : ($i > $o)] : ((in @ X1 @ (dsetconstr @ X0 @ (^[X3 : $i] : ((X2 @ X3))))) => (in @ X1 @ X0)) = dsetconstrEL)),
% 20.44/3.24 inference(rectify,[],[f15])).
% 20.44/3.24 thf(f116,plain,(
% 20.44/3.24 (dsetconstrEL = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (in @ Y1 @ Y2))))))))))),
% 20.44/3.24 inference(fool_elimination,[],[f115])).
% 20.44/3.24 thf(f151,plain,(
% 20.44/3.24 (setextAx = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X1) <=> (in @ X2 @ X0)) => (X0 = X1)))),
% 20.44/3.24 inference(rectify,[],[f2])).
% 20.44/3.24 thf(f152,plain,(
% 20.44/3.24 (setextAx = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) = (in @ Y2 @ Y1)))) => (Y1 = Y0))))))))),
% 20.44/3.24 inference(fool_elimination,[],[f151])).
% 20.44/3.24 thf(f202,plain,(
% 20.44/3.24 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => ! [X0 : $i,X1 : $i] : ((X0 = X1) => ! [X2 : ($i > $o),X3 : ($i > $o)] : (! [X4 : $i] : ((in @ X4 @ X0) => ! [X5 : $i] : ((in @ X5 @ X1) => ((X4 = X5) => ((X2 @ X4) <=> (X3 @ X5))))) => (((dsetconstr @ X0 @ (^[X6 : $i] : ((X2 @ X6))))) = ((dsetconstr @ X1 @ (^[X7 : $i] : ((X3 @ X7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 20.44/3.24 inference(rectify,[],[f78])).
% 20.44/3.24 thf(f203,plain,(
% 20.44/3.24 ($true = ((~ (setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ (^[Y4 : $i]: (Y3 @ Y4))) = (dsetconstr @ Y0 @ (^[Y4 : $i]: (Y2 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 20.44/3.24 inference(fool_elimination,[],[f202])).
% 20.44/3.24 thf(f220,plain,(
% 20.44/3.24 (dsetconstrI = ! [X0 : $i,X1 : $i,X2 : ($i > $o)] : ((in @ X0 @ X1) => ((X2 @ X0) => (in @ X0 @ (dsetconstr @ X1 @ (^[X3 : $i] : ((X2 @ X3))))))))),
% 20.44/3.24 inference(rectify,[],[f14])).
% 20.44/3.24 thf(f221,plain,(
% 20.44/3.24 (dsetconstrI = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((Y0 @ Y2) => (in @ Y2 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y0 @ Y3))))))))))))))),
% 20.44/3.24 inference(fool_elimination,[],[f220])).
% 20.44/3.24 thf(f236,plain,(
% 20.44/3.24 (dsetconstrI = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((Y0 @ Y2) => (in @ Y2 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y0 @ Y3))))))))))))))),
% 20.44/3.24 inference(cnf_transformation,[],[f221])).
% 20.44/3.24 thf(f265,plain,(
% 20.44/3.24 (setextAx = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) = (in @ Y2 @ Y1)))) => (Y1 = Y0))))))))),
% 20.44/3.24 inference(cnf_transformation,[],[f152])).
% 20.44/3.24 thf(f268,plain,(
% 20.44/3.24 ($true = ((~ (setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ (^[Y4 : $i]: (Y3 @ Y4))) = (dsetconstr @ Y0 @ (^[Y4 : $i]: (Y2 @ Y4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 20.44/3.24 inference(cnf_transformation,[],[f203])).
% 20.44/3.24 thf(f269,plain,(
% 20.44/3.24 (dsetconstrEL = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (in @ Y1 @ Y2))))))))))),
% 20.44/3.24 inference(cnf_transformation,[],[f116])).
% 20.44/3.24 thf(f295,plain,(
% 20.44/3.24 (dsetconstrER = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y2 @ Y3)))) => (Y2 @ Y0))))))))))),
% 20.44/3.24 inference(cnf_transformation,[],[f86])).
% 20.44/3.24 thf(f303,definition,(
% 20.44/3.24 ($true != $false)),
% 20.44/3.24 introduced(theory,[fool_distinctness_axiom])).
% 20.44/3.24 thf(f335,plain,(
% 20.44/3.24 (dsetconstrI = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((Y0 @ Y2) => (in @ Y2 @ (dsetconstr @ Y1 @ Y0))))))))))))),
% 20.44/3.24 inference(beta-eta_normalization,[],[f236])).
% 20.44/3.24 thf(f339,plain,(
% 20.44/3.24 (dsetconstrER = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ (dsetconstr @ Y1 @ Y2)) => (Y2 @ Y0))))))))))),
% 20.44/3.24 inference(beta-eta_normalization,[],[f295])).
% 20.44/3.24 thf(f341,plain,(
% 20.44/3.24 (((~ (setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 20.44/3.24 inference(beta-eta_normalization,[],[f268])).
% 20.44/3.24 thf(f347,plain,(
% 20.44/3.24 (dsetconstrEL = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ Y0)) => (in @ Y1 @ Y2))))))))))),
% 20.44/3.24 inference(beta-eta_normalization,[],[f269])).
% 20.44/3.24 thf(f413,plain,(
% 20.44/3.24 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) = (in @ Y2 @ Y1)))) => (Y1 = Y0)))))))) | (setextAx = $false)),
% 20.44/3.24 inference(iff_proxy_clausification,[],[f265])).
% 20.44/3.24 thf(f441,plain,(
% 20.44/3.24 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((Y0 @ Y2) => (in @ Y2 @ (dsetconstr @ Y1 @ Y0))))))))))) = $true) | (dsetconstrI = $false)),
% 20.44/3.24 inference(iff_proxy_clausification,[],[f335])).
% 20.44/3.24 thf(f463,plain,(
% 20.44/3.24 (dsetconstrER = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ (dsetconstr @ Y1 @ Y2)) => (Y2 @ Y0))))))))))),
% 20.44/3.24 inference(iff_proxy_clausification,[],[f339])).
% 20.44/3.24 thf(f470,plain,(
% 20.44/3.24 (((setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(not_proxy_clausification,[],[f341])).
% 20.44/3.24 thf(f472,definition,(
% 20.44/3.24 spl0_3 <=> ($true = $false)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 20.44/3.24 thf(f474,plain,(
% 20.44/3.24 ~spl0_3),
% 20.44/3.24 inference(avatar_split_clause,[],[f303,f472])).
% 20.44/3.24 thf(f500,plain,(
% 20.44/3.24 (dsetconstrEL = $false) | (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ Y0)) => (in @ Y1 @ Y2))))))))) = $true)),
% 20.44/3.24 inference(iff_proxy_clausification,[],[f347])).
% 20.44/3.24 thf(f908,definition,(
% 20.44/3.24 spl0_118 <=> ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) = (in @ Y2 @ Y1)))) => (Y1 = Y0))))))))),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition])).
% 20.44/3.24 thf(f909,plain,(
% 20.44/3.24 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) = (in @ Y2 @ Y1)))) => (Y1 = Y0)))))))) | ~spl0_118),
% 20.44/3.24 inference(avatar_component_clause,[],[f908])).
% 20.44/3.24 thf(f911,definition,(
% 20.44/3.24 spl0_119 <=> (setextAx = $false)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition])).
% 20.44/3.24 thf(f913,plain,(
% 20.44/3.24 spl0_118 | spl0_119),
% 20.44/3.24 inference(avatar_split_clause,[],[f413,f911,f908])).
% 20.44/3.24 thf(f915,definition,(
% 20.44/3.24 spl0_120 <=> (setextAx = $true)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition])).
% 20.44/3.24 thf(f1098,definition,(
% 20.44/3.24 spl0_172 <=> (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((Y0 @ Y2) => (in @ Y2 @ (dsetconstr @ Y1 @ Y0))))))))))) = $true)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition])).
% 20.44/3.24 thf(f1099,plain,(
% 20.44/3.24 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((Y0 @ Y2) => (in @ Y2 @ (dsetconstr @ Y1 @ Y0))))))))))) = $true) | ~spl0_172),
% 20.44/3.24 inference(avatar_component_clause,[],[f1098])).
% 20.44/3.24 thf(f1101,definition,(
% 20.44/3.24 spl0_173 <=> (dsetconstrI = $false)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition])).
% 20.44/3.24 thf(f1103,plain,(
% 20.44/3.24 spl0_172 | spl0_173),
% 20.44/3.24 inference(avatar_split_clause,[],[f441,f1101,f1098])).
% 20.44/3.24 thf(f1108,definition,(
% 20.44/3.24 spl0_175 <=> (dsetconstrI = $true)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition])).
% 20.44/3.24 thf(f1224,definition,(
% 20.44/3.24 spl0_208 <=> (dsetconstrER = $true)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition])).
% 20.44/3.24 thf(f1231,definition,(
% 20.44/3.24 spl0_210 <=> ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ (dsetconstr @ Y1 @ Y2)) => (Y2 @ Y0))))))))))),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition])).
% 20.44/3.24 thf(f1232,plain,(
% 20.44/3.24 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ (dsetconstr @ Y1 @ Y2)) => (Y2 @ Y0)))))))))) | ~spl0_210),
% 20.44/3.24 inference(avatar_component_clause,[],[f1231])).
% 20.44/3.24 thf(f1234,definition,(
% 20.44/3.24 spl0_211 <=> (dsetconstrER = $false)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition])).
% 20.44/3.24 thf(f1236,plain,(
% 20.44/3.24 spl0_210 | spl0_211),
% 20.44/3.24 inference(avatar_split_clause,[],[f463,f1234,f1231])).
% 20.44/3.24 thf(f1273,plain,(
% 20.44/3.24 (((emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f470])).
% 20.44/3.24 thf(f1274,plain,(
% 20.44/3.24 (setextAx = $true)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f470])).
% 20.44/3.24 thf(f1432,definition,(
% 20.44/3.24 spl0_266 <=> (dsetconstrEL = $true)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition])).
% 20.44/3.24 thf(f1439,definition,(
% 20.44/3.24 spl0_268 <=> (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ Y0)) => (in @ Y1 @ Y2))))))))) = $true)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition])).
% 20.44/3.24 thf(f1440,plain,(
% 20.44/3.24 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ Y0)) => (in @ Y1 @ Y2))))))))) = $true) | ~spl0_268),
% 20.44/3.24 inference(avatar_component_clause,[],[f1439])).
% 20.44/3.24 thf(f1442,definition,(
% 20.44/3.24 spl0_269 <=> (dsetconstrEL = $false)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition])).
% 20.44/3.24 thf(f1444,plain,(
% 20.44/3.24 spl0_268 | spl0_269),
% 20.44/3.24 inference(avatar_split_clause,[],[f500,f1442,f1439])).
% 20.44/3.24 thf(f1475,plain,(
% 20.44/3.24 spl0_120),
% 20.44/3.24 inference(avatar_split_clause,[],[f1274,f915])).
% 20.44/3.24 thf(f1476,plain,(
% 20.44/3.24 (((setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1273])).
% 20.44/3.24 thf(f1479,plain,(
% 20.44/3.24 (((powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1476])).
% 20.44/3.24 thf(f1482,plain,(
% 20.44/3.24 (((setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1479])).
% 20.44/3.24 thf(f1485,plain,(
% 20.44/3.24 (((omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1482])).
% 20.44/3.24 thf(f1487,plain,(
% 20.44/3.24 (((omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1485])).
% 20.44/3.24 thf(f1490,plain,(
% 20.44/3.24 (((omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1487])).
% 20.44/3.24 thf(f1494,plain,(
% 20.44/3.24 ($false = ((replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1490])).
% 20.44/3.24 thf(f1496,plain,(
% 20.44/3.24 (((foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1494])).
% 20.44/3.24 thf(f1499,plain,(
% 20.44/3.24 (((wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1496])).
% 20.44/3.24 thf(f1503,plain,(
% 20.44/3.24 (((descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1499])).
% 20.44/3.24 thf(f1505,plain,(
% 20.44/3.24 (((dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1503])).
% 20.44/3.24 thf(f1508,plain,(
% 20.44/3.24 (((dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1505])).
% 20.44/3.24 thf(f1509,plain,(
% 20.44/3.24 (dsetconstrI = $true)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1505])).
% 20.44/3.24 thf(f1511,plain,(
% 20.44/3.24 spl0_175),
% 20.44/3.24 inference(avatar_split_clause,[],[f1509,f1108])).
% 20.44/3.24 thf(f1512,plain,(
% 20.44/3.24 (((dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1508])).
% 20.44/3.24 thf(f1513,plain,(
% 20.44/3.24 (dsetconstrEL = $true)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1508])).
% 20.44/3.24 thf(f1514,plain,(
% 20.44/3.24 (((exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1512])).
% 20.44/3.24 thf(f1515,plain,(
% 20.44/3.24 (dsetconstrER = $true)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1512])).
% 20.44/3.24 thf(f1516,plain,(
% 20.44/3.24 spl0_266),
% 20.44/3.24 inference(avatar_split_clause,[],[f1513,f1432])).
% 20.44/3.24 thf(f1517,plain,(
% 20.44/3.24 (((prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1514])).
% 20.44/3.24 thf(f1519,plain,(
% 20.44/3.24 spl0_208),
% 20.44/3.24 inference(avatar_split_clause,[],[f1515,f1224])).
% 20.44/3.24 thf(f1521,plain,(
% 20.44/3.24 (((emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1517])).
% 20.44/3.24 thf(f1524,plain,(
% 20.44/3.24 ($false = ((emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1521])).
% 20.44/3.24 thf(f1527,plain,(
% 20.44/3.24 (((notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1524])).
% 20.44/3.24 thf(f1530,plain,(
% 20.44/3.24 (((exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1527])).
% 20.44/3.24 thf(f1533,plain,(
% 20.44/3.24 ($false = ((setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1530])).
% 20.44/3.24 thf(f1536,plain,(
% 20.44/3.24 (((emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1533])).
% 20.44/3.24 thf(f1538,plain,(
% 20.44/3.24 (((noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1536])).
% 20.44/3.24 thf(f1542,plain,(
% 20.44/3.24 (((setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1538])).
% 20.44/3.24 thf(f1544,plain,(
% 20.44/3.24 (((nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1542])).
% 20.44/3.24 thf(f1547,plain,(
% 20.44/3.24 (((nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1544])).
% 20.44/3.24 thf(f1551,plain,(
% 20.44/3.24 (((nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1547])).
% 20.44/3.24 thf(f1553,plain,(
% 20.44/3.24 (((setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1551])).
% 20.44/3.24 thf(f1557,plain,(
% 20.44/3.24 (((emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1553])).
% 20.44/3.24 thf(f1560,plain,(
% 20.44/3.24 (((setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1557])).
% 20.44/3.24 thf(f1562,plain,(
% 20.44/3.24 (((setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1560])).
% 20.44/3.24 thf(f1566,plain,(
% 20.44/3.24 (((setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1562])).
% 20.44/3.24 thf(f1569,plain,(
% 20.44/3.24 (((setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1566])).
% 20.44/3.24 thf(f1571,plain,(
% 20.44/3.24 (((powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1569])).
% 20.44/3.24 thf(f1574,plain,(
% 20.44/3.24 (((emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1571])).
% 20.44/3.24 thf(f1577,plain,(
% 20.44/3.24 (((emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1574])).
% 20.44/3.24 thf(f1580,plain,(
% 20.44/3.24 ($false = ((powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))))))),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1577])).
% 20.44/3.24 thf(f1584,plain,(
% 20.44/3.24 (((setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1580])).
% 20.44/3.24 thf(f1586,plain,(
% 20.44/3.24 (((setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1584])).
% 20.44/3.24 thf(f1589,plain,(
% 20.44/3.24 (((subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1586])).
% 20.44/3.24 thf(f1592,plain,(
% 20.44/3.24 (((exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1589])).
% 20.44/3.24 thf(f1595,plain,(
% 20.44/3.24 (((nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1592])).
% 20.44/3.24 thf(f1599,plain,(
% 20.44/3.24 ($false = ((uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))))))),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1595])).
% 20.44/3.24 thf(f1602,plain,(
% 20.44/3.24 (((notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1599])).
% 20.44/3.24 thf(f1604,plain,(
% 20.44/3.24 (((eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1602])).
% 20.44/3.24 thf(f1607,plain,(
% 20.44/3.24 (((singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1604])).
% 20.44/3.24 thf(f1611,plain,(
% 20.44/3.24 (((upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1607])).
% 20.44/3.24 thf(f1614,plain,(
% 20.44/3.24 (((upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1611])).
% 20.44/3.24 thf(f1616,plain,(
% 20.44/3.24 (((upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1614])).
% 20.44/3.24 thf(f1620,plain,(
% 20.44/3.24 (((emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1616])).
% 20.44/3.24 thf(f1622,plain,(
% 20.44/3.24 (((vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1620])).
% 20.44/3.24 thf(f1626,plain,(
% 20.44/3.24 (((quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1622])).
% 20.44/3.24 thf(f1629,plain,(
% 20.44/3.24 (((quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1626])).
% 20.44/3.24 thf(f1632,plain,(
% 20.44/3.24 (((quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1629])).
% 20.44/3.24 thf(f1634,plain,(
% 20.44/3.24 ($false = ((quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))))))),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1632])).
% 20.44/3.24 thf(f1637,plain,(
% 20.44/3.24 (((prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1634])).
% 20.44/3.24 thf(f1641,plain,(
% 20.44/3.24 (((prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1637])).
% 20.44/3.24 thf(f1643,plain,(
% 20.44/3.24 (((notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1641])).
% 20.44/3.24 thf(f1647,plain,(
% 20.44/3.24 (((notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1643])).
% 20.44/3.24 thf(f1650,plain,(
% 20.44/3.24 (((exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1647])).
% 20.44/3.24 thf(f1652,plain,(
% 20.44/3.24 (((exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1650])).
% 20.44/3.24 thf(f1656,plain,(
% 20.44/3.24 (((exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1652])).
% 20.44/3.24 thf(f1659,plain,(
% 20.44/3.24 (((inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1656])).
% 20.44/3.24 thf(f1662,plain,(
% 20.44/3.24 (((in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1659])).
% 20.44/3.24 thf(f1664,plain,(
% 20.44/3.24 (((exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1662])).
% 20.44/3.24 thf(f1667,plain,(
% 20.44/3.24 (((exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1664])).
% 20.44/3.24 thf(f1671,plain,(
% 20.44/3.24 (((emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1667])).
% 20.44/3.24 thf(f1673,plain,(
% 20.44/3.24 (((setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1671])).
% 20.44/3.24 thf(f1676,plain,(
% 20.44/3.24 (((powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1673])).
% 20.44/3.24 thf(f1679,plain,(
% 20.44/3.24 (((setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1676])).
% 20.44/3.24 thf(f1682,plain,(
% 20.44/3.24 (((omega__Cong => (exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1679])).
% 20.44/3.24 thf(f1684,plain,(
% 20.44/3.24 (((exuEu => (descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1682])).
% 20.44/3.24 thf(f1687,plain,(
% 20.44/3.24 (((descr__Cong => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2)))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1684])).
% 20.44/3.24 thf(f1690,plain,(
% 20.44/3.24 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))) = $false)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f1687])).
% 20.44/3.24 thf(f1694,definition,(
% 20.44/3.24 spl0_278 <=> (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))) = $false)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition])).
% 20.44/3.24 thf(f1695,plain,(
% 20.44/3.24 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))))) = $false) | ~spl0_278),
% 20.44/3.24 inference(avatar_component_clause,[],[f1694])).
% 20.44/3.24 thf(f1696,plain,(
% 20.44/3.24 spl0_278),
% 20.44/3.24 inference(avatar_split_clause,[],[f1690,f1694])).
% 20.44/3.24 thf(f1997,plain,(
% 20.44/3.24 ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y3 @ Y4) = (Y2 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y3) = (dsetconstr @ Y0 @ Y2))))))))))) @ sK1)) = $false) | ~spl0_278),
% 20.44/3.24 inference(sigma_proxy_clausification,[],[f1695])).
% 20.44/3.24 thf(f1998,plain,(
% 20.44/3.24 (((!! @ $i @ (^[Y0 : $i]: ((Y0 = sK1) => (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ sK1) => ((Y3 = Y4) => ((Y2 @ Y3) = (Y1 @ Y4))))))))) => ((dsetconstr @ Y0 @ Y2) = (dsetconstr @ sK1 @ Y1))))))))))) = $false) | ~spl0_278),
% 20.44/3.24 inference(beta-eta_normalization,[],[f1997])).
% 20.44/3.24 thf(f2000,definition,(
% 20.44/3.24 spl0_279 <=> (((!! @ $i @ (^[Y0 : $i]: ((Y0 = sK1) => (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ sK1) => ((Y3 = Y4) => ((Y2 @ Y3) = (Y1 @ Y4))))))))) => ((dsetconstr @ Y0 @ Y2) = (dsetconstr @ sK1 @ Y1))))))))))) = $false)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition])).
% 20.44/3.24 thf(f2001,plain,(
% 20.44/3.24 (((!! @ $i @ (^[Y0 : $i]: ((Y0 = sK1) => (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ sK1) => ((Y3 = Y4) => ((Y2 @ Y3) = (Y1 @ Y4))))))))) => ((dsetconstr @ Y0 @ Y2) = (dsetconstr @ sK1 @ Y1))))))))))) = $false) | ~spl0_279),
% 20.44/3.24 inference(avatar_component_clause,[],[f2000])).
% 20.44/3.24 thf(f2002,plain,(
% 20.44/3.24 spl0_279 | ~spl0_278),
% 20.44/3.24 inference(avatar_split_clause,[],[f1998,f1694,f2000])).
% 20.44/3.24 thf(f2003,plain,(
% 20.44/3.24 ((((^[Y0 : $i]: ((Y0 = sK1) => (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ sK1) => ((Y3 = Y4) => ((Y2 @ Y3) = (Y1 @ Y4))))))))) => ((dsetconstr @ Y0 @ Y2) = (dsetconstr @ sK1 @ Y1))))))))) @ sK2)) = $false) | ~spl0_279),
% 20.44/3.24 inference(sigma_proxy_clausification,[],[f2001])).
% 20.44/3.24 thf(f2004,plain,(
% 20.44/3.24 ((((sK2 = sK1) => (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK2) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ sK1) => ((Y2 = Y3) => ((Y1 @ Y2) = (Y0 @ Y3))))))))) => ((dsetconstr @ sK2 @ Y1) = (dsetconstr @ sK1 @ Y0))))))))) = $false) | ~spl0_279),
% 20.44/3.24 inference(beta-eta_normalization,[],[f2003])).
% 20.44/3.24 thf(f2005,plain,(
% 20.44/3.24 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK2) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ sK1) => ((Y2 = Y3) => ((Y1 @ Y2) = (Y0 @ Y3))))))))) => ((dsetconstr @ sK2 @ Y1) = (dsetconstr @ sK1 @ Y0)))))))) = $false) | ~spl0_279),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f2004])).
% 20.44/3.24 thf(f2006,plain,(
% 20.44/3.24 (((sK2 = sK1)) = $true) | ~spl0_279),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f2004])).
% 20.44/3.24 thf(f2007,plain,(
% 20.44/3.24 (sK1 = sK2) | ~spl0_279),
% 20.44/3.24 inference(equality_proxy_clausification,[],[f2006])).
% 20.44/3.24 thf(f2009,definition,(
% 20.44/3.24 spl0_280 <=> (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK2) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ sK1) => ((Y2 = Y3) => ((Y1 @ Y2) = (Y0 @ Y3))))))))) => ((dsetconstr @ sK2 @ Y1) = (dsetconstr @ sK1 @ Y0)))))))) = $false)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition])).
% 20.44/3.24 thf(f2010,plain,(
% 20.44/3.24 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK2) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ sK1) => ((Y2 = Y3) => ((Y1 @ Y2) = (Y0 @ Y3))))))))) => ((dsetconstr @ sK2 @ Y1) = (dsetconstr @ sK1 @ Y0)))))))) = $false) | ~spl0_280),
% 20.44/3.24 inference(avatar_component_clause,[],[f2009])).
% 20.44/3.24 thf(f2011,plain,(
% 20.44/3.24 spl0_280 | ~spl0_279),
% 20.44/3.24 inference(avatar_split_clause,[],[f2005,f2000,f2009])).
% 20.44/3.24 thf(f2013,definition,(
% 20.44/3.24 spl0_281 <=> (sK1 = sK2)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition])).
% 20.44/3.24 thf(f2014,plain,(
% 20.44/3.24 (sK1 = sK2) | ~spl0_281),
% 20.44/3.24 inference(avatar_component_clause,[],[f2013])).
% 20.44/3.24 thf(f2015,plain,(
% 20.44/3.24 spl0_281 | ~spl0_279),
% 20.44/3.24 inference(avatar_split_clause,[],[f2007,f2000,f2013])).
% 20.44/3.24 thf(f2016,plain,(
% 20.44/3.24 ((((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK2) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ sK1) => ((Y2 = Y3) => ((Y1 @ Y2) = (Y0 @ Y3))))))))) => ((dsetconstr @ sK2 @ Y1) = (dsetconstr @ sK1 @ Y0)))))) @ sK3)) = $false) | ~spl0_280),
% 20.44/3.24 inference(sigma_proxy_clausification,[],[f2010])).
% 20.44/3.24 thf(f2017,plain,(
% 20.44/3.24 ($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK2) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK1) => ((Y1 = Y2) => ((Y0 @ Y1) = (sK3 @ Y2))))))))) => ((dsetconstr @ sK2 @ Y0) = (dsetconstr @ sK1 @ sK3))))))) | ~spl0_280),
% 20.44/3.24 inference(beta-eta_normalization,[],[f2016])).
% 20.44/3.24 thf(f2019,definition,(
% 20.44/3.24 spl0_282 <=> ($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK2) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK1) => ((Y1 = Y2) => ((Y0 @ Y1) = (sK3 @ Y2))))))))) => ((dsetconstr @ sK2 @ Y0) = (dsetconstr @ sK1 @ sK3)))))))),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition])).
% 20.44/3.24 thf(f2020,plain,(
% 20.44/3.24 ($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK2) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK1) => ((Y1 = Y2) => ((Y0 @ Y1) = (sK3 @ Y2))))))))) => ((dsetconstr @ sK2 @ Y0) = (dsetconstr @ sK1 @ sK3))))))) | ~spl0_282),
% 20.44/3.24 inference(avatar_component_clause,[],[f2019])).
% 20.44/3.24 thf(f2021,plain,(
% 20.44/3.24 spl0_282 | ~spl0_280),
% 20.44/3.24 inference(avatar_split_clause,[],[f2017,f2009,f2019])).
% 20.44/3.24 thf(f2037,plain,(
% 20.44/3.24 ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK2) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK1) => ((Y1 = Y2) => ((Y0 @ Y1) = (sK3 @ Y2))))))))) => ((dsetconstr @ sK2 @ Y0) = (dsetconstr @ sK1 @ sK3)))) @ sK4)) = $false) | ~spl0_282),
% 20.44/3.24 inference(sigma_proxy_clausification,[],[f2020])).
% 20.44/3.24 thf(f2040,plain,(
% 20.44/3.24 ($false = (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK2) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK1) => ((Y0 = Y1) => ((sK4 @ Y0) = (sK3 @ Y1))))))))) => ((dsetconstr @ sK2 @ sK4) = (dsetconstr @ sK1 @ sK3))))) | ~spl0_282),
% 20.44/3.24 inference(beta-eta_normalization,[],[f2037])).
% 20.44/3.24 thf(f2041,plain,(
% 20.44/3.24 ((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK1) => ((Y0 = Y1) => ((sK4 @ Y0) = (sK3 @ Y1))))))))) => ((dsetconstr @ sK1 @ sK4) = (dsetconstr @ sK1 @ sK3)))) = $false) | (~spl0_281 | ~spl0_282)),
% 20.44/3.24 inference(forward_demodulation,[],[f2040,f2014])).
% 20.44/3.24 thf(f2042,plain,(
% 20.44/3.24 ((((dsetconstr @ sK1 @ sK4) = (dsetconstr @ sK1 @ sK3))) = $false) | (~spl0_281 | ~spl0_282)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f2041])).
% 20.44/3.24 thf(f2043,plain,(
% 20.44/3.24 ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK1) => ((Y0 = Y1) => ((sK4 @ Y0) = (sK3 @ Y1))))))))))) | (~spl0_281 | ~spl0_282)),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f2041])).
% 20.44/3.24 thf(f2044,plain,(
% 20.44/3.24 (((dsetconstr @ sK1 @ sK3)) != ((dsetconstr @ sK1 @ sK4))) | (~spl0_281 | ~spl0_282)),
% 20.44/3.24 inference(equality_proxy_clausification,[],[f2042])).
% 20.44/3.24 thf(f2046,definition,(
% 20.44/3.24 spl0_283 <=> ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK1) => ((Y0 = Y1) => ((sK4 @ Y0) = (sK3 @ Y1)))))))))))),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition])).
% 20.44/3.24 thf(f2047,plain,(
% 20.44/3.24 ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK1) => ((Y0 = Y1) => ((sK4 @ Y0) = (sK3 @ Y1))))))))))) | ~spl0_283),
% 20.44/3.24 inference(avatar_component_clause,[],[f2046])).
% 20.44/3.24 thf(f2048,plain,(
% 20.44/3.24 spl0_283 | ~spl0_281 | ~spl0_282),
% 20.44/3.24 inference(avatar_split_clause,[],[f2043,f2019,f2013,f2046])).
% 20.44/3.24 thf(f2050,definition,(
% 20.44/3.24 spl0_284 <=> (((dsetconstr @ sK1 @ sK3)) = ((dsetconstr @ sK1 @ sK4)))),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition])).
% 20.44/3.24 thf(f2051,plain,(
% 20.44/3.24 (((dsetconstr @ sK1 @ sK3)) != ((dsetconstr @ sK1 @ sK4))) | spl0_284),
% 20.44/3.24 inference(avatar_component_clause,[],[f2050])).
% 20.44/3.24 thf(f2052,plain,(
% 20.44/3.24 ~spl0_284 | ~spl0_281 | ~spl0_282),
% 20.44/3.24 inference(avatar_split_clause,[],[f2044,f2019,f2013,f2050])).
% 20.44/3.24 thf(f2053,plain,(
% 20.44/3.24 ( ! [X1 : $i] : (((((^[Y0 : $i]: ((in @ Y0 @ sK1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK1) => ((Y0 = Y1) => ((sK4 @ Y0) = (sK3 @ Y1)))))))) @ X1)) = $true)) ) | ~spl0_283),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f2047])).
% 20.44/3.24 thf(f2054,plain,(
% 20.44/3.24 ( ! [X1 : $i] : (((((in @ X1 @ sK1) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK1) => ((X1 = Y0) => ((sK4 @ X1) = (sK3 @ Y0)))))))) = $true)) ) | ~spl0_283),
% 20.44/3.24 inference(beta-eta_normalization,[],[f2053])).
% 20.44/3.24 thf(f2055,plain,(
% 20.44/3.24 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK1) => ((X1 = Y0) => ((sK4 @ X1) = (sK3 @ Y0))))))) = $true) | (((in @ X1 @ sK1)) = $false)) ) | ~spl0_283),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f2054])).
% 20.44/3.24 thf(f2056,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : ((((in @ X1 @ sK1)) = $false) | ((((^[Y0 : $i]: ((in @ Y0 @ sK1) => ((X1 = Y0) => ((sK4 @ X1) = (sK3 @ Y0))))) @ X2)) = $true)) ) | ~spl0_283),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f2055])).
% 20.44/3.24 thf(f2057,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : ((((in @ X1 @ sK1)) = $false) | ((((in @ X2 @ sK1) => ((X1 = X2) => ((sK4 @ X1) = (sK3 @ X2))))) = $true)) ) | ~spl0_283),
% 20.44/3.24 inference(beta-eta_normalization,[],[f2056])).
% 20.44/3.24 thf(f2058,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : ((((in @ X1 @ sK1)) = $false) | (((in @ X2 @ sK1)) = $false) | ((((X1 = X2) => ((sK4 @ X1) = (sK3 @ X2)))) = $true)) ) | ~spl0_283),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f2057])).
% 20.44/3.24 thf(f2059,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : ((((X1 = X2)) = $false) | (((in @ X1 @ sK1)) = $false) | ($true = (((sK4 @ X1) = (sK3 @ X2)))) | (((in @ X2 @ sK1)) = $false)) ) | ~spl0_283),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f2058])).
% 20.44/3.24 thf(f2060,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : ((((sK4 @ X1)) = ((sK3 @ X2))) | (((in @ X1 @ sK1)) = $false) | (((X1 = X2)) = $false) | (((in @ X2 @ sK1)) = $false)) ) | ~spl0_283),
% 20.44/3.24 inference(iff_proxy_clausification,[],[f2059])).
% 20.44/3.24 thf(f2061,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : ((((in @ X2 @ sK1)) = $false) | (((X1 = X2)) = $false) | (((sK3 @ X2)) = $false) | (((in @ X1 @ sK1)) = $false) | (((sK4 @ X1)) = $true)) ) | ~spl0_283),
% 20.44/3.24 inference(iff_proxy_clausification,[],[f2060])).
% 20.44/3.24 thf(f2062,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : ((((in @ X1 @ sK1)) = $false) | (((in @ X2 @ sK1)) = $false) | (((X1 = X2)) = $false) | (((sK4 @ X1)) = $false) | (((sK3 @ X2)) = $true)) ) | ~spl0_283),
% 20.44/3.24 inference(iff_proxy_clausification,[],[f2060])).
% 20.44/3.24 thf(f2063,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : ((((in @ X2 @ sK1)) = $false) | (((sK3 @ X2)) = $false) | (((sK4 @ X1)) = $true) | (((in @ X1 @ sK1)) = $false) | (X1 != X2)) ) | ~spl0_283),
% 20.44/3.24 inference(equality_proxy_clausification,[],[f2061])).
% 20.44/3.24 thf(f2064,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : ((((in @ X2 @ sK1)) = $false) | (((sK4 @ X1)) = $false) | (((sK3 @ X2)) = $true) | (((in @ X1 @ sK1)) = $false) | (X1 != X2)) ) | ~spl0_283),
% 20.44/3.24 inference(equality_proxy_clausification,[],[f2062])).
% 20.44/3.24 thf(f2066,plain,(
% 20.44/3.24 ( ! [X0 : $i] : ((((sK4 @ X0)) = $true) | (((in @ X0 @ sK1)) = $false) | (X0 != X0) | (((sK3 @ X0)) = $false) | ($false != $false)) ) | ~spl0_283),
% 20.44/3.24 inference(equality_factoring,[],[f2063])).
% 20.44/3.24 thf(f2067,plain,(
% 20.44/3.24 ( ! [X0 : $i] : ((((in @ X0 @ sK1)) = $false) | (((sK4 @ X0)) = $true) | (((sK3 @ X0)) = $false)) ) | ~spl0_283),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f2066])).
% 20.44/3.24 thf(f2072,plain,(
% 20.44/3.24 ( ! [X0 : $i] : ((((sK4 @ X0)) = $false) | ($false != $false) | (X0 != X0) | (((in @ X0 @ sK1)) = $false) | (((sK3 @ X0)) = $true)) ) | ~spl0_283),
% 20.44/3.24 inference(equality_factoring,[],[f2064])).
% 20.44/3.24 thf(f2073,plain,(
% 20.44/3.24 ( ! [X0 : $i] : ((((in @ X0 @ sK1)) = $false) | (((sK3 @ X0)) = $true) | (((sK4 @ X0)) = $false)) ) | ~spl0_283),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f2072])).
% 20.44/3.24 thf(f2887,plain,(
% 20.44/3.24 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ (dsetconstr @ Y1 @ Y2)) => (Y2 @ Y0))))))) @ X1)))) ) | ~spl0_210),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f1232])).
% 20.44/3.24 thf(f2888,plain,(
% 20.44/3.24 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((in @ X1 @ (dsetconstr @ Y0 @ Y1)) => (Y1 @ X1))))))) = $true)) ) | ~spl0_210),
% 20.44/3.24 inference(beta-eta_normalization,[],[f2887])).
% 20.44/3.24 thf(f2889,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((in @ X1 @ (dsetconstr @ Y0 @ Y1)) => (Y1 @ X1))))) @ X2)) = $true)) ) | ~spl0_210),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f2888])).
% 20.44/3.24 thf(f2890,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((in @ X1 @ (dsetconstr @ X2 @ Y0)) => (Y0 @ X1))))))) ) | ~spl0_210),
% 20.44/3.24 inference(beta-eta_normalization,[],[f2889])).
% 20.44/3.24 thf(f2891,plain,(
% 20.44/3.24 ( ! [X2 : $i,X3 : ($i > $o),X1 : $i] : (((((^[Y0 : $i > $o]: ((in @ X1 @ (dsetconstr @ X2 @ Y0)) => (Y0 @ X1))) @ X3)) = $true)) ) | ~spl0_210),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f2890])).
% 20.44/3.24 thf(f2892,plain,(
% 20.44/3.24 ( ! [X2 : $i,X3 : ($i > $o),X1 : $i] : (($true = (((in @ X1 @ (dsetconstr @ X2 @ X3)) => (X3 @ X1))))) ) | ~spl0_210),
% 20.44/3.24 inference(beta-eta_normalization,[],[f2891])).
% 20.44/3.24 thf(f2893,plain,(
% 20.44/3.24 ( ! [X2 : $i,X3 : ($i > $o),X1 : $i] : ((((in @ X1 @ (dsetconstr @ X2 @ X3))) = $false) | (((X3 @ X1)) = $true)) ) | ~spl0_210),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f2892])).
% 20.44/3.24 thf(f2907,plain,(
% 20.44/3.24 ( ! [X1 : $i] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) = (in @ Y2 @ Y1)))) => (Y1 = Y0))))) @ X1)) = $true)) ) | ~spl0_118),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f909])).
% 20.44/3.24 thf(f2908,plain,(
% 20.44/3.24 ( ! [X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) = (in @ Y1 @ Y0)))) => (Y0 = X1))))) = $true)) ) | ~spl0_118),
% 20.44/3.24 inference(beta-eta_normalization,[],[f2907])).
% 20.44/3.24 thf(f2909,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) = (in @ Y1 @ Y0)))) => (Y0 = X1))) @ X2)))) ) | ~spl0_118),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f2908])).
% 20.44/3.24 thf(f2910,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) = (in @ Y0 @ X2)))) => (X2 = X1))) = $true)) ) | ~spl0_118),
% 20.44/3.24 inference(beta-eta_normalization,[],[f2909])).
% 20.44/3.24 thf(f2911,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) = (in @ Y0 @ X2))))) = $false) | (((X2 = X1)) = $true)) ) | ~spl0_118),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f2910])).
% 20.44/3.24 thf(f2912,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) = (in @ Y0 @ X2))))) = $false) | (X1 = X2)) ) | ~spl0_118),
% 20.44/3.24 inference(equality_proxy_clausification,[],[f2911])).
% 20.44/3.24 thf(f2919,plain,(
% 20.44/3.24 (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK1 @ sK4)) = (in @ Y0 @ (dsetconstr @ sK1 @ sK3)))))) = $false) | (~spl0_118 | spl0_284)),
% 20.44/3.24 inference(extensionality_resolution,[],[f2912,f2051])).
% 20.44/3.24 thf(f2931,definition,(
% 20.44/3.24 spl0_307 <=> (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK1 @ sK4)) = (in @ Y0 @ (dsetconstr @ sK1 @ sK3)))))) = $false)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition])).
% 20.44/3.24 thf(f2932,plain,(
% 20.44/3.24 (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK1 @ sK4)) = (in @ Y0 @ (dsetconstr @ sK1 @ sK3)))))) = $false) | ~spl0_307),
% 20.44/3.24 inference(avatar_component_clause,[],[f2931])).
% 20.44/3.24 thf(f2933,plain,(
% 20.44/3.24 spl0_307 | ~spl0_118 | spl0_284),
% 20.44/3.24 inference(avatar_split_clause,[],[f2919,f2050,f908,f2931])).
% 20.44/3.24 thf(f2948,definition,(
% 20.44/3.24 (setextAx != $false) | (setextAx != $true) | ($true = $false)),
% 20.44/3.24 introduced(theory,[theory_tautology_sat_conflict])).
% 20.44/3.24 thf(f3027,plain,(
% 20.44/3.24 ((((^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK1 @ sK4)) = (in @ Y0 @ (dsetconstr @ sK1 @ sK3)))) @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $false) | ~spl0_307),
% 20.44/3.24 inference(sigma_proxy_clausification,[],[f2932])).
% 20.44/3.24 thf(f3030,plain,(
% 20.44/3.24 ((((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK4)) = (in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK3)))) = $false) | ~spl0_307),
% 20.44/3.24 inference(beta-eta_normalization,[],[f3027])).
% 20.44/3.24 thf(f3031,plain,(
% 20.44/3.24 (((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK3))) != ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK4)))) | ~spl0_307),
% 20.44/3.24 inference(iff_proxy_clausification,[],[f3030])).
% 20.44/3.24 thf(f3032,plain,(
% 20.44/3.24 ($true = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK3)))) | ($true = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK4)))) | ~spl0_307),
% 20.44/3.24 inference(xor_proxy_clausification,[],[f3031])).
% 20.44/3.24 thf(f3033,plain,(
% 20.44/3.24 ($false = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK3)))) | ($false = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK4)))) | ~spl0_307),
% 20.44/3.24 inference(xor_proxy_clausification,[],[f3031])).
% 20.44/3.24 thf(f3035,definition,(
% 20.44/3.24 spl0_311 <=> ($true = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK3))))),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition])).
% 20.44/3.24 thf(f3036,plain,(
% 20.44/3.24 ($true = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK3)))) | ~spl0_311),
% 20.44/3.24 inference(avatar_component_clause,[],[f3035])).
% 20.44/3.24 thf(f3038,definition,(
% 20.44/3.24 spl0_312 <=> ($true = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK4))))),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition])).
% 20.44/3.24 thf(f3039,plain,(
% 20.44/3.24 ($true = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK4)))) | ~spl0_312),
% 20.44/3.24 inference(avatar_component_clause,[],[f3038])).
% 20.44/3.24 thf(f3040,plain,(
% 20.44/3.24 spl0_311 | spl0_312 | ~spl0_307),
% 20.44/3.24 inference(avatar_split_clause,[],[f3032,f2931,f3038,f3035])).
% 20.44/3.24 thf(f3042,definition,(
% 20.44/3.24 spl0_313 <=> ($false = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK3))))),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition])).
% 20.44/3.24 thf(f3043,plain,(
% 20.44/3.24 ($false = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK3)))) | ~spl0_313),
% 20.44/3.24 inference(avatar_component_clause,[],[f3042])).
% 20.44/3.24 thf(f3045,definition,(
% 20.44/3.24 spl0_314 <=> ($false = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK4))))),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition])).
% 20.44/3.24 thf(f3046,plain,(
% 20.44/3.24 ($false = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK4)))) | ~spl0_314),
% 20.44/3.24 inference(avatar_component_clause,[],[f3045])).
% 20.44/3.24 thf(f3047,plain,(
% 20.44/3.24 spl0_313 | spl0_314 | ~spl0_307),
% 20.44/3.24 inference(avatar_split_clause,[],[f3033,f2931,f3045,f3042])).
% 20.44/3.24 thf(f3048,definition,(
% 20.44/3.24 ($false != ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK3)))) | ($true != ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK3)))) | ($true = $false)),
% 20.44/3.24 introduced(theory,[theory_tautology_sat_conflict])).
% 20.44/3.24 thf(f3083,plain,(
% 20.44/3.24 ( ! [X1 : ($i > $o)] : (($true = (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ Y0)) => (in @ Y1 @ Y2))))))) @ X1)))) ) | ~spl0_268),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f1440])).
% 20.44/3.24 thf(f3084,plain,(
% 20.44/3.24 ( ! [X1 : ($i > $o)] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (dsetconstr @ Y1 @ X1)) => (in @ Y0 @ Y1))))))) = $true)) ) | ~spl0_268),
% 20.44/3.24 inference(beta-eta_normalization,[],[f3083])).
% 20.44/3.24 thf(f3148,plain,(
% 20.44/3.24 ($true = $false) | ($true = ((sK4 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3))))) | (~spl0_210 | ~spl0_312)),
% 20.44/3.24 inference(constrained_superposition,[],[f3039,f2893])).
% 20.44/3.24 thf(f3150,plain,(
% 20.44/3.24 ($true = ((sK4 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3))))) | (~spl0_210 | ~spl0_312)),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f3148])).
% 20.44/3.24 thf(f3153,definition,(
% 20.44/3.24 spl0_320 <=> ($true = ((sK4 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))))),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_320])],[avatar_definition])).
% 20.44/3.24 thf(f3154,plain,(
% 20.44/3.24 ($true = ((sK4 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3))))) | ~spl0_320),
% 20.44/3.24 inference(avatar_component_clause,[],[f3153])).
% 20.44/3.24 thf(f3155,plain,(
% 20.44/3.24 spl0_320 | ~spl0_210 | ~spl0_312),
% 20.44/3.24 inference(avatar_split_clause,[],[f3150,f3038,f1231,f3153])).
% 20.44/3.24 thf(f3156,definition,(
% 20.44/3.24 (dsetconstrER != $false) | (dsetconstrER != $true) | ($true = $false)),
% 20.44/3.24 introduced(theory,[theory_tautology_sat_conflict])).
% 20.44/3.24 thf(f3187,plain,(
% 20.44/3.24 ($true = $false) | (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $true) | (~spl0_210 | ~spl0_311)),
% 20.44/3.24 inference(constrained_superposition,[],[f3036,f2893])).
% 20.44/3.24 thf(f3189,plain,(
% 20.44/3.24 (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $true) | (~spl0_210 | ~spl0_311)),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f3187])).
% 20.44/3.24 thf(f3192,definition,(
% 20.44/3.24 spl0_321 <=> (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $true)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition])).
% 20.44/3.24 thf(f3193,plain,(
% 20.44/3.24 (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $true) | ~spl0_321),
% 20.44/3.24 inference(avatar_component_clause,[],[f3192])).
% 20.44/3.24 thf(f3194,plain,(
% 20.44/3.24 spl0_321 | ~spl0_210 | ~spl0_311),
% 20.44/3.24 inference(avatar_split_clause,[],[f3189,f3035,f1231,f3192])).
% 20.44/3.24 thf(f3195,definition,(
% 20.44/3.24 ($false != ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK4)))) | ($true != ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ (dsetconstr @ sK1 @ sK4)))) | ($true = $false)),
% 20.44/3.24 introduced(theory,[theory_tautology_sat_conflict])).
% 20.44/3.24 thf(f3429,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : ($i > $o)] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (dsetconstr @ Y1 @ X1)) => (in @ Y0 @ Y1))))) @ X2)) = $true)) ) | ~spl0_268),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f3084])).
% 20.44/3.24 thf(f3430,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : ($i > $o)] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ X2 @ (dsetconstr @ Y0 @ X1)) => (in @ X2 @ Y0))))) = $true)) ) | ~spl0_268),
% 20.44/3.24 inference(beta-eta_normalization,[],[f3429])).
% 20.44/3.24 thf(f3557,plain,(
% 20.44/3.24 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : (($true = (((^[Y0 : $i]: ((in @ X2 @ (dsetconstr @ Y0 @ X1)) => (in @ X2 @ Y0))) @ X3)))) ) | ~spl0_268),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f3430])).
% 20.44/3.24 thf(f3558,plain,(
% 20.44/3.24 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : (((((in @ X2 @ (dsetconstr @ X3 @ X1)) => (in @ X2 @ X3))) = $true)) ) | ~spl0_268),
% 20.44/3.24 inference(beta-eta_normalization,[],[f3557])).
% 20.44/3.24 thf(f3559,plain,(
% 20.44/3.24 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : ((((in @ X2 @ (dsetconstr @ X3 @ X1))) = $false) | (((in @ X2 @ X3)) = $true)) ) | ~spl0_268),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f3558])).
% 20.44/3.24 thf(f3990,definition,(
% 20.44/3.24 (dsetconstrEL != $false) | (dsetconstrEL != $true) | ($true = $false)),
% 20.44/3.24 introduced(theory,[theory_tautology_sat_conflict])).
% 20.44/3.24 thf(f4292,plain,(
% 20.44/3.24 ($true = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1))) | ($true = $false) | (~spl0_268 | ~spl0_312)),
% 20.44/3.24 inference(constrained_superposition,[],[f3559,f3039])).
% 20.44/3.24 thf(f4294,plain,(
% 20.44/3.24 ($true = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1))) | (~spl0_268 | ~spl0_312)),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f4292])).
% 20.44/3.24 thf(f4299,definition,(
% 20.44/3.24 spl0_352 <=> ($true = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1)))),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_352])],[avatar_definition])).
% 20.44/3.24 thf(f4300,plain,(
% 20.44/3.24 ($true = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1))) | ~spl0_352),
% 20.44/3.24 inference(avatar_component_clause,[],[f4299])).
% 20.44/3.24 thf(f4301,plain,(
% 20.44/3.24 spl0_352 | ~spl0_268 | ~spl0_312),
% 20.44/3.24 inference(avatar_split_clause,[],[f4294,f3038,f1439,f4299])).
% 20.44/3.24 thf(f4534,plain,(
% 20.44/3.24 ($true = $false) | (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $true) | (((sK4 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $false) | (~spl0_283 | ~spl0_352)),
% 20.44/3.24 inference(constrained_superposition,[],[f4300,f2073])).
% 20.44/3.24 thf(f4540,plain,(
% 20.44/3.24 ($true = ((sK4 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3))))) | (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $false) | ($true = $false) | (~spl0_283 | ~spl0_352)),
% 20.44/3.24 inference(constrained_superposition,[],[f2067,f4300])).
% 20.44/3.24 thf(f4542,plain,(
% 20.44/3.24 (((sK4 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $false) | (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $true) | (~spl0_283 | ~spl0_352)),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f4534])).
% 20.44/3.24 thf(f4543,plain,(
% 20.44/3.24 ($true = ((sK4 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3))))) | (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $false) | (~spl0_283 | ~spl0_352)),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f4540])).
% 20.44/3.24 thf(f4809,plain,(
% 20.44/3.24 ( ! [X1 : ($i > $o)] : (($true = (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((Y0 @ Y2) => (in @ Y2 @ (dsetconstr @ Y1 @ Y0))))))))) @ X1)))) ) | ~spl0_172),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f1099])).
% 20.44/3.24 thf(f4810,plain,(
% 20.44/3.24 ( ! [X1 : ($i > $o)] : (($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => ((X1 @ Y1) => (in @ Y1 @ (dsetconstr @ Y0 @ X1))))))))))) ) | ~spl0_172),
% 20.44/3.24 inference(beta-eta_normalization,[],[f4809])).
% 20.44/3.24 thf(f4825,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : ($i > $o)] : (((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => ((X1 @ Y1) => (in @ Y1 @ (dsetconstr @ Y0 @ X1))))))) @ X2)) = $true)) ) | ~spl0_172),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f4810])).
% 20.44/3.24 thf(f4826,plain,(
% 20.44/3.24 ( ! [X2 : $i,X1 : ($i > $o)] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => ((X1 @ Y0) => (in @ Y0 @ (dsetconstr @ X2 @ X1))))))) = $true)) ) | ~spl0_172),
% 20.44/3.24 inference(beta-eta_normalization,[],[f4825])).
% 20.44/3.24 thf(f4837,plain,(
% 20.44/3.24 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : (($true = (((^[Y0 : $i]: ((in @ Y0 @ X2) => ((X1 @ Y0) => (in @ Y0 @ (dsetconstr @ X2 @ X1))))) @ X3)))) ) | ~spl0_172),
% 20.44/3.24 inference(pi_proxy_clausification,[],[f4826])).
% 20.44/3.24 thf(f4838,plain,(
% 20.44/3.24 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : (($true = (((in @ X3 @ X2) => ((X1 @ X3) => (in @ X3 @ (dsetconstr @ X2 @ X1))))))) ) | ~spl0_172),
% 20.44/3.24 inference(beta-eta_normalization,[],[f4837])).
% 20.44/3.24 thf(f4839,plain,(
% 20.44/3.24 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : (((((X1 @ X3) => (in @ X3 @ (dsetconstr @ X2 @ X1)))) = $true) | (((in @ X3 @ X2)) = $false)) ) | ~spl0_172),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f4838])).
% 20.44/3.24 thf(f4840,plain,(
% 20.44/3.24 ( ! [X2 : $i,X3 : $i,X1 : ($i > $o)] : ((((in @ X3 @ (dsetconstr @ X2 @ X1))) = $true) | (((X1 @ X3)) = $false) | (((in @ X3 @ X2)) = $false)) ) | ~spl0_172),
% 20.44/3.24 inference(imp_proxy_clausification,[],[f4839])).
% 20.44/3.24 thf(f4889,plain,(
% 20.44/3.24 (((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1)) = $false) | ($true = $false) | (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $false) | (~spl0_172 | ~spl0_313)),
% 20.44/3.24 inference(constrained_superposition,[],[f4840,f3043])).
% 20.44/3.24 thf(f4904,plain,(
% 20.44/3.24 (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $false) | (((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1)) = $false) | (~spl0_172 | ~spl0_313)),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f4889])).
% 20.44/3.24 thf(f4919,plain,(
% 20.44/3.24 (((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1)) = $false) | ($true = $false) | (~spl0_172 | ~spl0_313 | ~spl0_321)),
% 20.44/3.24 inference(forward_demodulation,[],[f4904,f3193])).
% 20.44/3.24 thf(f4920,plain,(
% 20.44/3.24 (((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1)) = $false) | (~spl0_172 | ~spl0_313 | ~spl0_321)),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f4919])).
% 20.44/3.24 thf(f4926,definition,(
% 20.44/3.24 spl0_357 <=> (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $false)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_357])],[avatar_definition])).
% 20.44/3.24 thf(f4934,definition,(
% 20.44/3.24 spl0_359 <=> (((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1)) = $false)),
% 20.44/3.24 introduced(definition,[new_symbols(definition,[spl0_359])],[avatar_definition])).
% 20.44/3.24 thf(f4936,plain,(
% 20.44/3.24 spl0_359 | ~spl0_172 | ~spl0_313 | ~spl0_321),
% 20.44/3.24 inference(avatar_split_clause,[],[f4920,f3192,f3042,f1098,f4934])).
% 20.44/3.24 thf(f4974,definition,(
% 20.44/3.24 (dsetconstrI != $false) | (dsetconstrI != $true) | ($true = $false)),
% 20.44/3.24 introduced(theory,[theory_tautology_sat_conflict])).
% 20.44/3.24 thf(f5011,definition,(
% 20.44/3.24 (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) != $false) | (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) != $true) | ($true = $false)),
% 20.44/3.24 introduced(theory,[theory_tautology_sat_conflict])).
% 20.44/3.24 thf(f5091,definition,(
% 20.44/3.24 (((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1)) != $false) | ($true != ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1))) | ($true = $false)),
% 20.44/3.24 introduced(theory,[theory_tautology_sat_conflict])).
% 20.44/3.24 thf(f5145,plain,(
% 20.44/3.24 ($true = $false) | (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $true) | (~spl0_283 | ~spl0_320 | ~spl0_352)),
% 20.44/3.24 inference(forward_demodulation,[],[f4542,f3154])).
% 20.44/3.24 thf(f5146,plain,(
% 20.44/3.24 (((sK3 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $true) | (~spl0_283 | ~spl0_320 | ~spl0_352)),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f5145])).
% 20.44/3.24 thf(f5150,plain,(
% 20.44/3.24 spl0_321 | ~spl0_283 | ~spl0_320 | ~spl0_352),
% 20.44/3.24 inference(avatar_split_clause,[],[f5146,f4299,f3153,f2046,f3192])).
% 20.44/3.24 thf(f5158,plain,(
% 20.44/3.24 ($true = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1))) | ($true = $false) | (~spl0_268 | ~spl0_311)),
% 20.44/3.24 inference(constrained_superposition,[],[f3559,f3036])).
% 20.44/3.24 thf(f5161,plain,(
% 20.44/3.24 ($true = ((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1))) | (~spl0_268 | ~spl0_311)),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f5158])).
% 20.44/3.24 thf(f5166,plain,(
% 20.44/3.24 (((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1)) = $false) | ($true = $false) | (((sK4 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $false) | (~spl0_172 | ~spl0_314)),
% 20.44/3.24 inference(constrained_superposition,[],[f4840,f3046])).
% 20.44/3.24 thf(f5169,plain,(
% 20.44/3.24 (((sK4 @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)))) = $false) | (((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1)) = $false) | (~spl0_172 | ~spl0_314)),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f5166])).
% 20.44/3.24 thf(f5172,plain,(
% 20.44/3.24 ($true = $false) | (((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1)) = $false) | (~spl0_172 | ~spl0_314 | ~spl0_320)),
% 20.44/3.24 inference(forward_demodulation,[],[f5169,f3154])).
% 20.44/3.24 thf(f5173,plain,(
% 20.44/3.24 (((in @ (sK7 @ (dsetconstr @ sK1 @ sK4) @ (dsetconstr @ sK1 @ sK3)) @ sK1)) = $false) | (~spl0_172 | ~spl0_314 | ~spl0_320)),
% 20.44/3.24 inference(trivial_inequality_removal,[],[f5172])).
% 20.44/3.24 thf(f5178,plain,(
% 20.44/3.24 spl0_359 | ~spl0_172 | ~spl0_314 | ~spl0_320),
% 20.44/3.24 inference(avatar_split_clause,[],[f5173,f3153,f3045,f1098,f4934])).
% 20.44/3.24 thf(f5182,plain,(
% 20.44/3.24 spl0_320 | spl0_357 | ~spl0_283 | ~spl0_352),
% 20.44/3.24 inference(avatar_split_clause,[],[f4543,f4299,f2046,f4926,f3153])).
% 20.44/3.24 thf(f5185,plain,(
% 20.44/3.24 spl0_352 | ~spl0_268 | ~spl0_311),
% 20.44/3.24 inference(avatar_split_clause,[],[f5161,f3035,f1439,f4299])).
% 20.44/3.24 cnf(s3, plain, ~spl0_3, inference(sat_conversion,[],[f474])).
% 20.44/3.24 cnf(s62, plain, spl0_118 | spl0_119, inference(sat_conversion,[],[f913])).
% 20.44/3.24 cnf(s90, plain, spl0_172 | spl0_173, inference(sat_conversion,[],[f1103])).
% 20.44/3.24 cnf(s109, plain, spl0_210 | spl0_211, inference(sat_conversion,[],[f1236])).
% 20.44/3.24 cnf(s141, plain, spl0_268 | spl0_269, inference(sat_conversion,[],[f1444])).
% 20.44/3.24 cnf(s148, plain, spl0_120, inference(sat_conversion,[],[f1475])).
% 20.44/3.24 cnf(s160, plain, spl0_175, inference(sat_conversion,[],[f1511])).
% 20.44/3.24 cnf(s161, plain, spl0_266, inference(sat_conversion,[],[f1516])).
% 20.44/3.24 cnf(s162, plain, spl0_208, inference(sat_conversion,[],[f1519])).
% 20.44/3.24 cnf(s222, plain, spl0_278, inference(sat_conversion,[],[f1696])).
% 20.44/3.24 cnf(s523, plain, ~spl0_278 | spl0_279, inference(sat_conversion,[],[f2002])).
% 20.44/3.24 cnf(s524, plain, ~spl0_279 | spl0_280, inference(sat_conversion,[],[f2011])).
% 20.44/3.24 cnf(s525, plain, ~spl0_279 | spl0_281, inference(sat_conversion,[],[f2015])).
% 20.44/3.24 cnf(s526, plain, ~spl0_280 | spl0_282, inference(sat_conversion,[],[f2021])).
% 20.44/3.24 cnf(s527, plain, ~spl0_281 | ~spl0_282 | spl0_283, inference(sat_conversion,[],[f2048])).
% 20.44/3.24 cnf(s528, plain, ~spl0_281 | ~spl0_282 | ~spl0_284, inference(sat_conversion,[],[f2052])).
% 20.44/3.24 cnf(s731, plain, ~spl0_118 | spl0_284 | spl0_307, inference(sat_conversion,[],[f2933])).
% 20.44/3.24 cnf(s735, plain, spl0_3 | ~spl0_119 | ~spl0_120, inference(sat_conversion,[],[f2948])).
% 20.44/3.24 cnf(s802, plain, ~spl0_307 | spl0_311 | spl0_312, inference(sat_conversion,[],[f3040])).
% 20.44/3.24 cnf(s803, plain, ~spl0_307 | spl0_313 | spl0_314, inference(sat_conversion,[],[f3047])).
% 20.44/3.24 cnf(s804, plain, spl0_3 | ~spl0_311 | ~spl0_313, inference(sat_conversion,[],[f3048])).
% 20.44/3.24 cnf(s838, plain, ~spl0_210 | ~spl0_312 | spl0_320, inference(sat_conversion,[],[f3155])).
% 20.44/3.24 cnf(s840, plain, spl0_3 | ~spl0_208 | ~spl0_211, inference(sat_conversion,[],[f3156])).
% 20.44/3.24 cnf(s871, plain, ~spl0_210 | ~spl0_311 | spl0_321, inference(sat_conversion,[],[f3194])).
% 20.44/3.24 cnf(s873, plain, spl0_3 | ~spl0_312 | ~spl0_314, inference(sat_conversion,[],[f3195])).
% 20.44/3.24 cnf(s1171, plain, spl0_3 | ~spl0_266 | ~spl0_269, inference(sat_conversion,[],[f3990])).
% 20.44/3.24 cnf(s1396, plain, ~spl0_268 | ~spl0_312 | spl0_352, inference(sat_conversion,[],[f4301])).
% 20.44/3.24 cnf(s1413, plain, ~spl0_172 | ~spl0_313 | ~spl0_321 | spl0_359, inference(sat_conversion,[],[f4936])).
% 20.44/3.24 cnf(s1451, plain, spl0_3 | ~spl0_173 | ~spl0_175, inference(sat_conversion,[],[f4974])).
% 20.44/3.24 cnf(s1488, plain, spl0_3 | ~spl0_321 | ~spl0_357, inference(sat_conversion,[],[f5011])).
% 20.44/3.24 cnf(s1568, plain, spl0_3 | ~spl0_352 | ~spl0_359, inference(sat_conversion,[],[f5091])).
% 20.44/3.24 cnf(s1614, plain, ~spl0_283 | ~spl0_320 | spl0_321 | ~spl0_352, inference(sat_conversion,[],[f5150])).
% 20.44/3.24 cnf(s1631, plain, ~spl0_172 | ~spl0_314 | ~spl0_320 | spl0_359, inference(sat_conversion,[],[f5178])).
% 20.44/3.24 cnf(s1633, plain, ~spl0_283 | spl0_320 | ~spl0_352 | spl0_357, inference(sat_conversion,[],[f5182])).
% 20.44/3.24 cnf(s1637, plain, ~spl0_268 | ~spl0_311 | spl0_352, inference(sat_conversion,[],[f5185])).
% 20.44/3.24 cnf(s1641, plain, spl0_279, inference(rat,[],[s523,s222])).
% 20.44/3.24 cnf(s1642, plain, spl0_281, inference(rat,[],[s525,s1641])).
% 20.44/3.24 cnf(s1643, plain, spl0_280, inference(rat,[],[s524,s1641])).
% 20.44/3.24 cnf(s1644, plain, spl0_282, inference(rat,[],[s526,s1643])).
% 20.44/3.24 cnf(s1645, plain, ~spl0_284, inference(rat,[],[s528,s1642,s1644])).
% 20.44/3.24 cnf(s1646, plain, spl0_283, inference(rat,[],[s527,s1642,s1644])).
% 20.44/3.24 cnf(s1647, plain, ~spl0_173, inference(rat,[],[s1451,s160,s3])).
% 20.44/3.24 cnf(s1651, plain, ~spl0_269, inference(rat,[],[s1171,s161,s3])).
% 20.44/3.24 cnf(s1652, plain, ~spl0_211, inference(rat,[],[s840,s162,s3])).
% 20.44/3.24 cnf(s1653, plain, ~spl0_119, inference(rat,[],[s735,s148,s3])).
% 20.44/3.24 cnf(s1683, plain, spl0_172, inference(rat,[],[s90,s1647])).
% 20.44/3.24 cnf(s1685, plain, spl0_268, inference(rat,[],[s141,s1651])).
% 20.44/3.24 cnf(s1686, plain, spl0_210, inference(rat,[],[s109,s1652])).
% 20.44/3.24 cnf(s1687, plain, spl0_118, inference(rat,[],[s62,s1653])).
% 20.44/3.24 cnf(s1718, plain, spl0_307, inference(rat,[],[s731,s1645,s1687])).
% 20.44/3.24 cnf(s1724, plain, ~spl0_312, inference(rat,[],[s1413,s1614,s803,s1568,s838,s873,s1396,s1683,s1646,s1718,s3,s1686,s1685])).
% 20.44/3.24 cnf(s1725, plain, spl0_311, inference(rat,[],[s802,s1718,s1724])).
% 20.44/3.24 cnf(s1726, plain, spl0_352, inference(rat,[],[s1637,s1685,s1725])).
% 20.44/3.24 cnf(s1727, plain, spl0_321, inference(rat,[],[s871,s1686,s1725])).
% 20.44/3.24 cnf(s1728, plain, ~spl0_313, inference(rat,[],[s804,s3,s1725])).
% 20.44/3.24 cnf(s1729, plain, ~spl0_359, inference(rat,[],[s1568,s3,s1726])).
% 20.44/3.25 cnf(s1731, plain, ~spl0_357, inference(rat,[],[s1488,s3,s1727])).
% 20.44/3.25 cnf(s1732, plain, spl0_314, inference(rat,[],[s803,s1718,s1728])).
% 20.44/3.25 cnf(s1733, plain, spl0_320, inference(rat,[],[s1633,s1726,s1646,s1731])).
% 20.44/3.25 cnf(s1735, plain, $false, inference(rat,[],[s1631,s1729,s1683,s1733,s1732])).
% 20.44/3.25 thf(f5188,plain,(
% 20.44/3.25 $false),
% 20.44/3.25 inference(avatar_sat_refutation,[],[s1735])).
% 20.44/3.25 % SZS output end Proof for theBenchmark
% 20.44/3.25 % (1085771)------------------------------
% 20.44/3.25 % (1085771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.25 % (1085771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.25 % (1085771)CaDiCaL version: 2.1.3
% 20.44/3.25 % (1085771)Termination reason: Refutation
% 20.44/3.25 % (1085771)Time elapsed: 0.471 s
% 20.44/3.25 % (1085771)Peak memory usage: 17 MB
% 20.44/3.25 % (1085771)Instructions burned: 953 (million)
% 20.44/3.25 % (1085373)Success in time 2.967 s
% 20.44/3.25 % Vampire exiting
%------------------------------------------------------------------------------