%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT208^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 07:48:33 AM UTC 2026
% Result : Theorem 3.07s 0.89s
% Output : Refutation 3.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT208^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n008.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 18:09:39 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running higher-order theorem proving
% 0.21/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.47 % (3522669)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.40/0.47 % (3522676)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3854194759:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.40/0.47 % (3522676)Instruction limit reached!
% 0.40/0.47 % (3522676)------------------------------
% 0.40/0.47 % (3522676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.47 % (3522676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.47 % (3522676)CaDiCaL version: 2.1.3
% 0.40/0.47 % (3522676)Termination reason: Instruction limit
% 0.40/0.47 % (3522676)Termination phase: shuffling
% 0.40/0.47 % (3522676)Time elapsed: 0.001 s
% 0.40/0.47 % (3522676)Peak memory usage: 10 MB
% 0.40/0.47 % (3522676)Instructions burned: 4 (million)
% 0.40/0.47 % (3522674)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2125043468:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.40/0.47 % (3522678)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1833069185:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.40/0.47 % (3522675)lrs+10_16_si=on:nwc=1.5:random_seed=1361529138:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.40/0.47 % (3522677)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=2311297652: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)
% 0.40/0.47 % (3522680)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.40/0.47 % (3522680)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
% 0.40/0.47 % (3522682)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2706673080:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.40/0.47 % (3522682)Instruction limit reached!
% 0.40/0.47 % (3522682)------------------------------
% 0.40/0.47 % (3522682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.47 % (3522682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.47 % (3522682)CaDiCaL version: 2.1.3
% 0.40/0.47 % (3522682)Termination reason: Instruction limit
% 0.40/0.47 % (3522682)Termination phase: shuffling
% 0.40/0.47 % (3522682)Time elapsed: 0.001 s
% 0.40/0.47 % (3522682)Peak memory usage: 10 MB
% 0.40/0.47 % (3522682)Instructions burned: 2 (million)
% 0.40/0.47 % (3522675)Instruction limit reached!
% 0.40/0.47 % (3522675)------------------------------
% 0.40/0.47 % (3522675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.47 % (3522675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.47 % (3522675)CaDiCaL version: 2.1.3
% 0.40/0.47 % (3522675)Termination reason: Instruction limit
% 0.40/0.47 % (3522675)Termination phase: Property scanning
% 0.40/0.47 % (3522675)Time elapsed: 0.011 s
% 0.40/0.47 % (3522675)Peak memory usage: 10 MB
% 0.40/0.47 % (3522675)Instructions burned: 18 (million)
% 0.40/0.47 % (3522680)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=776971839:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.40/0.47 % (3522678)Instruction limit reached!
% 0.40/0.47 % (3522678)------------------------------
% 0.40/0.47 % (3522678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.47 % (3522678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.47 % (3522678)CaDiCaL version: 2.1.3
% 0.40/0.47 % (3522678)Termination reason: Instruction limit
% 0.40/0.47 % (3522678)Termination phase: Property scanning
% 0.40/0.47 % (3522678)Time elapsed: 0.013 s
% 0.40/0.47 % (3522678)Peak memory usage: 10 MB
% 0.40/0.47 % (3522678)Instructions burned: 26 (million)
% 0.40/0.47 % (3522679)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2016349902:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.40/0.47 % (3522688)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2942966399:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.15/0.53 % (3522688)Instruction limit reached!
% 1.15/0.53 % (3522688)------------------------------
% 1.15/0.53 % (3522688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.53 % (3522688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.53 % (3522688)CaDiCaL version: 2.1.3
% 1.15/0.53 % (3522688)Termination reason: Instruction limit
% 1.15/0.53 % (3522688)Termination phase: shuffling
% 1.15/0.53 % (3522688)Time elapsed: 0.002 s
% 1.15/0.53 % (3522688)Peak memory usage: 10 MB
% 1.15/0.53 % (3522688)Instructions burned: 9 (million)
% 1.15/0.53 % (3522690)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.15/0.53 % (3522690)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2670638264:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.15/0.53 % (3522694)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.15/0.53 % (3522694)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.15/0.53 % (3522694)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2697327920:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.15/0.53 % (3522692)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=519351239:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.15/0.53 % (3522690)Instruction limit reached!
% 1.15/0.53 % (3522690)------------------------------
% 1.15/0.53 % (3522690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.53 % (3522690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.53 % (3522690)CaDiCaL version: 2.1.3
% 1.15/0.53 % (3522690)Termination reason: Instruction limit
% 1.15/0.53 % (3522690)Termination phase: shuffling
% 1.15/0.53 % (3522690)Time elapsed: 0.005 s
% 1.15/0.53 % (3522690)Peak memory usage: 10 MB
% 1.15/0.53 % (3522690)Instructions burned: 9 (million)
% 1.15/0.53 % (3522674)Instruction limit reached!
% 1.15/0.53 % (3522674)------------------------------
% 1.15/0.53 % (3522674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.53 % (3522674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.53 % (3522674)CaDiCaL version: 2.1.3
% 1.15/0.53 % (3522674)Termination reason: Instruction limit
% 1.15/0.53 % (3522674)Termination phase: Property scanning
% 1.15/0.53 % (3522674)Time elapsed: 0.041 s
% 1.15/0.53 % (3522674)Peak memory usage: 12 MB
% 1.15/0.53 % (3522674)Instructions burned: 88 (million)
% 1.15/0.53 % (3522694)Instruction limit reached!
% 1.15/0.53 % (3522694)------------------------------
% 1.15/0.53 % (3522694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.53 % (3522694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.53 % (3522694)CaDiCaL version: 2.1.3
% 1.15/0.53 % (3522694)Termination reason: Instruction limit
% 1.15/0.53 % (3522694)Termination phase: shuffling
% 1.15/0.53 % (3522694)Time elapsed: 0.007 s
% 1.15/0.53 % (3522694)Peak memory usage: 10 MB
% 1.15/0.53 % (3522694)Instructions burned: 28 (million)
% 1.15/0.53 % (3522692)Instruction limit reached!
% 1.15/0.53 % (3522692)------------------------------
% 1.15/0.53 % (3522692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.53 % (3522692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.53 % (3522692)CaDiCaL version: 2.1.3
% 1.15/0.53 % (3522692)Termination reason: Instruction limit
% 1.15/0.53 % (3522692)Termination phase: shuffling
% 1.15/0.53 % (3522692)Time elapsed: 0.006 s
% 1.15/0.53 % (3522692)Peak memory usage: 10 MB
% 1.15/0.53 % (3522692)Instructions burned: 13 (million)
% 1.15/0.53 % (3522700)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.15/0.53 % (3522700)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=10254593:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.15/0.57 % (3522700)Instruction limit reached!
% 1.15/0.57 % (3522700)------------------------------
% 1.15/0.57 % (3522700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3522700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3522700)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3522700)Termination reason: Instruction limit
% 1.15/0.57 % (3522700)Termination phase: shuffling
% 1.15/0.57 % (3522700)Time elapsed: 0.001 s
% 1.15/0.57 % (3522700)Peak memory usage: 10 MB
% 1.15/0.57 % (3522700)Instructions burned: 4 (million)
% 1.15/0.57 % (3522701)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1196619644:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.15/0.57 % (3522699)lrs+10_1_si=on:cs=on:random_seed=979342297:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.15/0.57 % (3522703)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1602044421:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.15/0.57 % (3522698)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=2543676949:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.15/0.57 % (3522699)Instruction limit reached!
% 1.15/0.57 % (3522699)------------------------------
% 1.15/0.57 % (3522699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3522699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3522699)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3522699)Termination reason: Instruction limit
% 1.15/0.57 % (3522699)Termination phase: shuffling
% 1.15/0.57 % (3522699)Time elapsed: 0.004 s
% 1.15/0.57 % (3522699)Peak memory usage: 10 MB
% 1.15/0.57 % (3522699)Instructions burned: 9 (million)
% 1.15/0.57 % (3522679)Instruction limit reached!
% 1.15/0.57 % (3522679)------------------------------
% 1.15/0.57 % (3522679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3522679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3522679)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3522679)Termination reason: Instruction limit
% 1.15/0.57 % (3522679)Termination phase: Property scanning
% 1.15/0.57 % (3522679)Time elapsed: 0.065 s
% 1.15/0.57 % (3522679)Peak memory usage: 12 MB
% 1.15/0.57 % (3522679)Instructions burned: 76 (million)
% 1.15/0.57 % (3522701)Instruction limit reached!
% 1.15/0.57 % (3522701)------------------------------
% 1.15/0.57 % (3522701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3522701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3522701)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3522701)Termination reason: Instruction limit
% 1.15/0.57 % (3522701)Termination phase: Preprocessing 3
% 1.15/0.57 % (3522701)Time elapsed: 0.019 s
% 1.15/0.57 % (3522701)Peak memory usage: 11 MB
% 1.15/0.57 % (3522701)Instructions burned: 39 (million)
% 1.15/0.57 % (3522709)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3059545587:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.15/0.57 % (3522709)Instruction limit reached!
% 1.15/0.57 % (3522709)------------------------------
% 1.15/0.57 % (3522709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3522709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3522709)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3522709)Termination reason: Instruction limit
% 1.15/0.57 % (3522709)Termination phase: Property scanning
% 1.15/0.57 % (3522709)Time elapsed: 0.013 s
% 1.15/0.57 % (3522709)Peak memory usage: 10 MB
% 1.15/0.57 % (3522709)Instructions burned: 27 (million)
% 1.15/0.57 % (3522710)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3720874677:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.15/0.57 % (3522710)Instruction limit reached!
% 1.15/0.57 % (3522710)------------------------------
% 1.15/0.57 % (3522710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.57 % (3522710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.57 % (3522710)CaDiCaL version: 2.1.3
% 1.15/0.57 % (3522710)Termination reason: Instruction limit
% 1.15/0.57 % (3522710)Termination phase: shuffling
% 1.88/0.64 % (3522710)Time elapsed: 0.014 s
% 1.88/0.64 % (3522710)Peak memory usage: 10 MB
% 1.88/0.64 % (3522710)Instructions burned: 15 (million)
% 1.88/0.64 % (3522714)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4103623439:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.88/0.64 % (3522711)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2907391137:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.88/0.64 % (3522714)Instruction limit reached!
% 1.88/0.64 % (3522714)------------------------------
% 1.88/0.64 % (3522714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.64 % (3522714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.64 % (3522714)CaDiCaL version: 2.1.3
% 1.88/0.64 % (3522714)Termination reason: Instruction limit
% 1.88/0.64 % (3522714)Termination phase: shuffling
% 1.88/0.64 % (3522714)Time elapsed: 0.007 s
% 1.88/0.64 % (3522714)Peak memory usage: 10 MB
% 1.88/0.64 % (3522714)Instructions burned: 15 (million)
% 1.88/0.64 % (3522698)Instruction limit reached!
% 1.88/0.64 % (3522698)------------------------------
% 1.88/0.64 % (3522698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.64 % (3522698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.64 % (3522698)CaDiCaL version: 2.1.3
% 1.88/0.64 % (3522698)Termination reason: Instruction limit
% 1.88/0.64 % (3522698)Termination phase: Property scanning
% 1.88/0.64 % (3522698)Time elapsed: 0.068 s
% 1.88/0.64 % (3522698)Peak memory usage: 11 MB
% 1.88/0.64 % (3522698)Instructions burned: 87 (million)
% 1.88/0.64 % (3522719)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3951163354:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.88/0.64 % (3522717)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2670166848: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)
% 1.88/0.64 % (3522680)Instruction limit reached!
% 1.88/0.64 % (3522680)------------------------------
% 1.88/0.64 % (3522680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.64 % (3522680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.64 % (3522680)CaDiCaL version: 2.1.3
% 1.88/0.64 % (3522680)Termination reason: Instruction limit
% 1.88/0.64 % (3522680)Termination phase: Saturation
% 1.88/0.64 % (3522680)Time elapsed: 0.140 s
% 1.88/0.64 % (3522680)Peak memory usage: 13 MB
% 1.88/0.64 % (3522680)Instructions burned: 157 (million)
% 1.88/0.64 % (3522717)Instruction limit reached!
% 1.88/0.64 % (3522717)------------------------------
% 1.88/0.64 % (3522717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.64 % (3522717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.64 % (3522717)CaDiCaL version: 2.1.3
% 1.88/0.64 % (3522717)Termination reason: Instruction limit
% 1.88/0.64 % (3522717)Termination phase: shuffling
% 1.88/0.64 % (3522717)Time elapsed: 0.002 s
% 1.88/0.64 % (3522717)Peak memory usage: 10 MB
% 1.88/0.64 % (3522717)Instructions burned: 2 (million)
% 1.88/0.64 % (3522720)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3920084555:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.88/0.64 % (3522719)Instruction limit reached!
% 1.88/0.64 % (3522719)------------------------------
% 1.88/0.64 % (3522719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.64 % (3522719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.64 % (3522719)CaDiCaL version: 2.1.3
% 1.88/0.64 % (3522719)Termination reason: Instruction limit
% 1.88/0.64 % (3522719)Termination phase: shuffling
% 1.88/0.64 % (3522719)Time elapsed: 0.013 s
% 1.88/0.64 % (3522719)Peak memory usage: 10 MB
% 1.88/0.64 % (3522719)Instructions burned: 28 (million)
% 1.88/0.64 % (3522723)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=865293650:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.88/0.64 % (3522726)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.88/0.64 % (3522720)Instruction limit reached!
% 1.88/0.64 % (3522720)------------------------------
% 1.88/0.64 % (3522720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.64 % (3522720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (3522720)CaDiCaL version: 2.1.3
% 2.37/0.73 % (3522720)Termination reason: Instruction limit
% 2.37/0.73 % (3522720)Termination phase: Property scanning
% 2.37/0.73 % (3522720)Time elapsed: 0.020 s
% 2.37/0.73 % (3522720)Peak memory usage: 10 MB
% 2.37/0.73 % (3522720)Instructions burned: 24 (million)
% 2.37/0.73 % (3522726)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=2797142161:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.37/0.73 % (3522724)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
% 2.37/0.73 % (3522724)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.37/0.73 % (3522703)Instruction limit reached!
% 2.37/0.73 % (3522703)------------------------------
% 2.37/0.73 % (3522703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (3522703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (3522703)CaDiCaL version: 2.1.3
% 2.37/0.73 % (3522703)Termination reason: Instruction limit
% 2.37/0.73 % (3522703)Termination phase: Saturation
% 2.37/0.73 % (3522703)Time elapsed: 0.114 s
% 2.37/0.73 % (3522703)Peak memory usage: 14 MB
% 2.37/0.73 % (3522703)Instructions burned: 250 (million)
% 2.37/0.73 % (3522724)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=1910750069:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.37/0.73 % (3522726)Instruction limit reached!
% 2.37/0.73 % (3522726)------------------------------
% 2.37/0.73 % (3522726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (3522726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (3522726)CaDiCaL version: 2.1.3
% 2.37/0.73 % (3522726)Termination reason: Instruction limit
% 2.37/0.73 % (3522726)Termination phase: shuffling
% 2.37/0.73 % (3522726)Time elapsed: 0.007 s
% 2.37/0.73 % (3522726)Peak memory usage: 10 MB
% 2.37/0.73 % (3522726)Instructions burned: 9 (million)
% 2.37/0.73 % (3522728)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=238887273:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.37/0.73 % (3522724)Instruction limit reached!
% 2.37/0.73 % (3522724)------------------------------
% 2.37/0.73 % (3522724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.73 % (3522724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.73 % (3522724)CaDiCaL version: 2.1.3
% 2.37/0.73 % (3522724)Termination reason: Instruction limit
% 2.37/0.73 % (3522724)Termination phase: shuffling
% 2.37/0.73 % (3522724)Time elapsed: 0.013 s
% 2.37/0.73 % (3522724)Peak memory usage: 10 MB
% 2.37/0.73 % (3522724)Instructions burned: 15 (million)
% 2.37/0.73 % (3522730)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4020144003:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.37/0.74 % (3522730)Instruction limit reached!
% 2.37/0.74 % (3522730)------------------------------
% 2.37/0.74 % (3522730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.74 % (3522730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.74 % (3522730)CaDiCaL version: 2.1.3
% 2.37/0.74 % (3522730)Termination reason: Instruction limit
% 2.37/0.74 % (3522730)Termination phase: shuffling
% 2.37/0.74 % (3522730)Time elapsed: 0.003 s
% 2.37/0.74 % (3522730)Peak memory usage: 10 MB
% 2.37/0.74 % (3522730)Instructions burned: 7 (million)
% 2.37/0.74 % (3522728)Instruction limit reached!
% 2.37/0.74 % (3522728)------------------------------
% 2.37/0.74 % (3522728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.74 % (3522728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.74 % (3522728)CaDiCaL version: 2.1.3
% 2.37/0.74 % (3522728)Termination reason: Instruction limit
% 2.37/0.74 % (3522728)Termination phase: Property scanning
% 2.37/0.74 % (3522728)Time elapsed: 0.018 s
% 2.37/0.79 % (3522728)Peak memory usage: 10 MB
% 2.37/0.79 % (3522728)Instructions burned: 31 (million)
% 2.37/0.79 % (3522723)Instruction limit reached!
% 2.37/0.79 % (3522723)------------------------------
% 2.37/0.79 % (3522723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.79 % (3522723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.79 % (3522723)CaDiCaL version: 2.1.3
% 2.37/0.79 % (3522723)Termination reason: Instruction limit
% 2.37/0.79 % (3522723)Termination phase: Property scanning
% 2.37/0.79 % (3522723)Time elapsed: 0.047 s
% 2.37/0.79 % (3522723)Peak memory usage: 11 MB
% 2.37/0.79 % (3522723)Instructions burned: 60 (million)
% 2.37/0.79 % (3522732)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2538180863:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.37/0.79 % (3522735)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4059532743:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.37/0.79 % (3522735)Instruction limit reached!
% 2.37/0.79 % (3522735)------------------------------
% 2.37/0.79 % (3522735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.80 % (3522735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.80 % (3522735)CaDiCaL version: 2.1.3
% 2.37/0.80 % (3522735)Termination reason: Instruction limit
% 2.37/0.80 % (3522735)Termination phase: Property scanning
% 2.37/0.80 % (3522735)Time elapsed: 0.010 s
% 2.37/0.80 % (3522735)Peak memory usage: 10 MB
% 2.37/0.80 % (3522735)Instructions burned: 20 (million)
% 2.37/0.80 % (3522736)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4081704017:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.37/0.80 % (3522737)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4168379902:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.37/0.80 % (3522732)Instruction limit reached!
% 2.37/0.80 % (3522732)------------------------------
% 2.37/0.80 % (3522732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.80 % (3522732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.80 % (3522732)CaDiCaL version: 2.1.3
% 2.37/0.80 % (3522732)Termination reason: Instruction limit
% 2.37/0.80 % (3522732)Termination phase: shuffling
% 2.37/0.80 % (3522732)Time elapsed: 0.019 s
% 2.37/0.80 % (3522732)Peak memory usage: 10 MB
% 2.37/0.80 % (3522732)Instructions burned: 23 (million)
% 2.37/0.80 % (3522739)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=838433672:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.37/0.80 % (3522741)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=943537008:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.37/0.80 % (3522744)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.37/0.80 % (3522741)Instruction limit reached!
% 2.37/0.80 % (3522741)------------------------------
% 2.37/0.80 % (3522741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.80 % (3522741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.80 % (3522741)CaDiCaL version: 2.1.3
% 2.37/0.80 % (3522741)Termination reason: Instruction limit
% 2.37/0.80 % (3522741)Termination phase: Preprocessing 3
% 2.37/0.80 % (3522741)Time elapsed: 0.020 s
% 2.37/0.80 % (3522741)Peak memory usage: 11 MB
% 2.37/0.80 % (3522741)Instructions burned: 43 (million)
% 2.37/0.80 % (3522744)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1571460370:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.37/0.80 % (3522744)Instruction limit reached!
% 2.37/0.80 % (3522744)------------------------------
% 2.37/0.80 % (3522744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.80 % (3522744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.80 % (3522744)CaDiCaL version: 2.1.3
% 2.37/0.80 % (3522744)Termination reason: Instruction limit
% 2.37/0.80 % (3522744)Termination phase: shuffling
% 2.37/0.80 % (3522744)Time elapsed: 0.007 s
% 2.37/0.80 % (3522744)Peak memory usage: 10 MB
% 2.37/0.80 % (3522744)Instructions burned: 7 (million)
% 2.37/0.80 % (3522747)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=990655244:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.07/0.89 % (3522749)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=3331462612: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)
% 3.07/0.89 % (3522737)Instruction limit reached!
% 3.07/0.89 % (3522737)------------------------------
% 3.07/0.89 % (3522737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522737)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522737)Termination reason: Instruction limit
% 3.07/0.89 % (3522737)Termination phase: Saturation
% 3.07/0.89 % (3522737)Time elapsed: 0.087 s
% 3.07/0.89 % (3522737)Peak memory usage: 13 MB
% 3.07/0.89 % (3522737)Instructions burned: 143 (million)
% 3.07/0.89 % (3522752)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.07/0.89 % (3522752)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3860021236:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.07/0.89 % (3522752)Instruction limit reached!
% 3.07/0.89 % (3522752)------------------------------
% 3.07/0.89 % (3522752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522752)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522752)Termination reason: Instruction limit
% 3.07/0.89 % (3522752)Termination phase: shuffling
% 3.07/0.89 % (3522752)Time elapsed: 0.004 s
% 3.07/0.89 % (3522752)Peak memory usage: 10 MB
% 3.07/0.89 % (3522752)Instructions burned: 6 (million)
% 3.07/0.89 % (3522677)Instruction limit reached!
% 3.07/0.89 % (3522677)------------------------------
% 3.07/0.89 % (3522677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522677)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522677)Termination reason: Instruction limit
% 3.07/0.89 % (3522677)Termination phase: Saturation
% 3.07/0.89 % (3522677)Time elapsed: 0.348 s
% 3.07/0.89 % (3522677)Peak memory usage: 16 MB
% 3.07/0.89 % (3522677)Instructions burned: 638 (million)
% 3.07/0.89 % (3522755)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1639276155:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 3.07/0.89 % (3522747)Instruction limit reached!
% 3.07/0.89 % (3522747)------------------------------
% 3.07/0.89 % (3522747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522747)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522747)Termination reason: Instruction limit
% 3.07/0.89 % (3522747)Termination phase: Saturation
% 3.07/0.89 % (3522747)Time elapsed: 0.087 s
% 3.07/0.89 % (3522747)Peak memory usage: 13 MB
% 3.07/0.89 % (3522747)Instructions burned: 182 (million)
% 3.07/0.89 % (3522739)Instruction limit reached!
% 3.07/0.89 % (3522739)------------------------------
% 3.07/0.89 % (3522739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522739)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522739)Termination reason: Instruction limit
% 3.07/0.89 % (3522739)Termination phase: Saturation
% 3.07/0.89 % (3522739)Time elapsed: 0.129 s
% 3.07/0.89 % (3522739)Peak memory usage: 14 MB
% 3.07/0.89 % (3522739)Instructions burned: 193 (million)
% 3.07/0.89 % (3522754)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3964567968:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.07/0.89 % (3522755)Instruction limit reached!
% 3.07/0.89 % (3522755)------------------------------
% 3.07/0.89 % (3522755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522755)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522755)Termination reason: Instruction limit
% 3.07/0.89 % (3522755)Termination phase: shuffling
% 3.07/0.89 % (3522755)Time elapsed: 0.010 s
% 3.07/0.89 % (3522755)Peak memory usage: 10 MB
% 3.07/0.89 % (3522755)Instructions burned: 21 (million)
% 3.07/0.89 % (3522757)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=1807884631:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 3.07/0.89 % (3522759)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=395180473: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)
% 3.07/0.89 % (3522754)Instruction limit reached!
% 3.07/0.89 % (3522754)------------------------------
% 3.07/0.89 % (3522754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522754)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522754)Termination reason: Instruction limit
% 3.07/0.89 % (3522754)Termination phase: Property scanning
% 3.07/0.89 % (3522754)Time elapsed: 0.020 s
% 3.07/0.89 % (3522754)Peak memory usage: 10 MB
% 3.07/0.89 % (3522754)Instructions burned: 23 (million)
% 3.07/0.89 % (3522760)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=960760889: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)
% 3.07/0.89 % (3522711)Instruction limit reached!
% 3.07/0.89 % (3522711)------------------------------
% 3.07/0.89 % (3522711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522711)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522711)Termination reason: Instruction limit
% 3.07/0.89 % (3522711)Termination phase: Saturation
% 3.07/0.89 % (3522711)Time elapsed: 0.285 s
% 3.07/0.89 % (3522711)Peak memory usage: 14 MB
% 3.07/0.89 % (3522711)Instructions burned: 328 (million)
% 3.07/0.89 % (3522760)Instruction limit reached!
% 3.07/0.89 % (3522760)------------------------------
% 3.07/0.89 % (3522760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522760)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522760)Termination reason: Instruction limit
% 3.07/0.89 % (3522760)Termination phase: Preprocessing 1
% 3.07/0.89 % (3522760)Time elapsed: 0.021 s
% 3.07/0.89 % (3522760)Peak memory usage: 11 MB
% 3.07/0.89 % (3522760)Instructions burned: 45 (million)
% 3.07/0.89 % (3522765)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3593298771: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)
% 3.07/0.89 % (3522764)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2370186999:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 3.07/0.89 % (3522766)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.07/0.89 % (3522749)Instruction limit reached!
% 3.07/0.89 % (3522749)------------------------------
% 3.07/0.89 % (3522749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522749)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522749)Termination reason: Instruction limit
% 3.07/0.89 % (3522749)Termination phase: Saturation
% 3.07/0.89 % (3522749)Time elapsed: 0.128 s
% 3.07/0.89 % (3522749)Peak memory usage: 14 MB
% 3.07/0.89 % (3522749)Instructions burned: 170 (million)
% 3.07/0.89 % (3522765)Instruction limit reached!
% 3.07/0.89 % (3522765)------------------------------
% 3.07/0.89 % (3522765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522765)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522765)Termination reason: Instruction limit
% 3.07/0.89 % (3522765)Termination phase: Property scanning
% 3.07/0.89 % (3522765)Time elapsed: 0.011 s
% 3.07/0.89 % (3522765)Peak memory usage: 10 MB
% 3.07/0.89 % (3522765)Instructions burned: 24 (million)
% 3.07/0.89 % (3522766)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=258525899:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 3.07/0.89 % (3522769)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2737507320:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.07/0.89 % (3522770)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=1284453630:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.07/0.89 % (3522769)Instruction limit reached!
% 3.07/0.89 % (3522769)------------------------------
% 3.07/0.89 % (3522769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522769)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522769)Termination reason: Instruction limit
% 3.07/0.89 % (3522769)Termination phase: shuffling
% 3.07/0.89 % (3522769)Time elapsed: 0.007 s
% 3.07/0.89 % (3522769)Peak memory usage: 10 MB
% 3.07/0.89 % (3522769)Instructions burned: 14 (million)
% 3.07/0.89 % (3522774)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1893585403:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 3.07/0.89 % (3522770)Instruction limit reached!
% 3.07/0.89 % (3522770)------------------------------
% 3.07/0.89 % (3522770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522770)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522770)Termination reason: Instruction limit
% 3.07/0.89 % (3522770)Termination phase: SInE selection
% 3.07/0.89 % (3522770)Time elapsed: 0.030 s
% 3.07/0.89 % (3522770)Peak memory usage: 11 MB
% 3.07/0.89 % (3522770)Instructions burned: 68 (million)
% 3.07/0.89 % (3522776)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3028468964:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 3.07/0.89 % (3522774)Instruction limit reached!
% 3.07/0.89 % (3522774)------------------------------
% 3.07/0.89 % (3522774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522774)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522774)Termination reason: Instruction limit
% 3.07/0.89 % (3522774)Termination phase: Property scanning
% 3.07/0.89 % (3522774)Time elapsed: 0.025 s
% 3.07/0.89 % (3522774)Peak memory usage: 11 MB
% 3.07/0.89 % (3522774)Instructions burned: 53 (million)
% 3.07/0.89 % (3522736) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3522669-3522736"...
% 3.07/0.89 % (3522776)Instruction limit reached!
% 3.07/0.89 % (3522776)------------------------------
% 3.07/0.89 % (3522776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522776)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522776)Termination reason: Instruction limit
% 3.07/0.89 % (3522776)Termination phase: Property scanning
% 3.07/0.89 % (3522776)Time elapsed: 0.015 s
% 3.07/0.89 % (3522776)Peak memory usage: 10 MB
% 3.07/0.89 % (3522776)Instructions burned: 32 (million)
% 3.07/0.89 % (3522766)Instruction limit reached!
% 3.07/0.89 % (3522766)------------------------------
% 3.07/0.89 % (3522766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.89 % (3522766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.89 % (3522766)CaDiCaL version: 2.1.3
% 3.07/0.89 % (3522766)Termination reason: Instruction limit
% 3.07/0.89 % (3522766)Termination phase: Saturation
% 3.07/0.89 % (3522766)Time elapsed: 0.088 s
% 3.07/0.89 % (3522766)Peak memory usage: 13 MB
% 3.07/0.89 % (3522766)Instructions burned: 203 (million)
% 3.07/0.89 % (3522778)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1277757599:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 3.07/0.89 % (3522736)...printing done.
% 3.07/0.89 % (3522736)Refutation found. Thanks to Tanya!
% 3.07/0.89 % SZS status Theorem for theBenchmark
% 3.07/0.89 % SZS output start Proof for theBenchmark
% 3.07/0.89 thf(type_def_5, type, list: $tType > $tType).
% 3.07/0.89 thf(type_def_6, type, set: $tType > $tType).
% 3.07/0.89 thf(type_def_7, type, itself: $tType > $tType).
% 3.07/0.89 thf(type_def_8, type, a: $tType).
% 3.07/0.89 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 3.07/0.89 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_2, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_3, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_4, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_5, type, no_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_6, type, finite_finite: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_7, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_8, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_9, type, wellorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_10, type, dense_order: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_11, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_12, type, linordered_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_13, type, semilattice_sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_14, type, dense_linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_15, type, condit1656338222tinuum: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_16, type, condit1037483654norder: !>[X0: $tType]:((itself @ X0 > $o))).
% 3.07/0.89 thf(func_def_17, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 3.07/0.89 thf(func_def_18, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 3.07/0.89 thf(func_def_19, type, coset: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 3.07/0.89 thf(func_def_20, type, distinct: !>[X0: $tType]:((list @ X0 > $o))).
% 3.07/0.89 thf(func_def_21, type, linorder_sorted: !>[X0: $tType]:((list @ X0 > $o))).
% 3.07/0.89 thf(func_def_22, type, linord467138063of_set: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 3.07/0.89 thf(func_def_23, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 3.07/0.89 thf(func_def_24, type, member: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 3.07/0.89 thf(func_def_25, type, union: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 3.07/0.89 thf(func_def_26, type, merge: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 3.07/0.89 thf(func_def_27, type, merges2133357844_merge: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > list @ X0))).
% 3.07/0.89 thf(func_def_28, type, mergesort_remdups: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 3.07/0.89 thf(func_def_29, type, sorted_by_rel: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > $o))).
% 3.07/0.89 thf(func_def_30, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.07/0.89 thf(func_def_31, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.07/0.89 thf(func_def_32, type, type2: !>[X0: $tType]:(itself @ X0)).
% 3.07/0.89 thf(func_def_33, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 3.07/0.89 thf(func_def_34, type, sorted763967275sorted: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 3.07/0.89 thf(func_def_35, type, sorted873716653sorted: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 3.07/0.89 thf(func_def_36, type, sorted1061247458sorted: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 3.07/0.89 thf(func_def_37, type, member2: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 3.07/0.89 thf(func_def_38, type, a2: a).
% 3.07/0.89 thf(func_def_39, type, x: a).
% 3.07/0.89 thf(func_def_40, type, xsa: list @ a).
% 3.07/0.89 thf(func_def_42, type, vIMP: ($o > $o > $o)).
% 3.07/0.89 thf(func_def_43, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.07/0.89 thf(func_def_44, type, db0: !>[X0: $tType]:(X0)).
% 3.07/0.89 thf(func_def_45, type, db1: !>[X0: $tType]:(X0)).
% 3.07/0.89 thf(func_def_46, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.07/0.89 thf(func_def_47, type, vNOT: ($o > $o)).
% 3.07/0.89 thf(func_def_48, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.07/0.89 thf(func_def_51, type, db2: !>[X0: $tType]:(X0)).
% 3.07/0.89 thf(func_def_52, type, db3: !>[X0: $tType]:(X0)).
% 3.07/0.89 thf(func_def_53, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.07/0.89 thf(func_def_54, type, db4: !>[X0: $tType]:(X0)).
% 3.07/0.89 thf(func_def_55, type, db5: !>[X0: $tType]:(X0)).
% 3.07/0.89 thf(func_def_56, type, vOR: ($o > $o > $o)).
% 3.07/0.89 thf(func_def_57, type, vAND: ($o > $o > $o)).
% 3.07/0.89 thf(func_def_59, type, sK1: a).
% 3.07/0.89 thf(func_def_60, type, sK2: a).
% 3.07/0.89 thf(func_def_61, type, sK3: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_62, type, sK4: !>[X0: $tType]:(X0)).
% 3.07/0.89 thf(func_def_63, type, sK5: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_64, type, sK6: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_65, type, sK7: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 3.07/0.89 thf(func_def_66, type, sK8: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_67, type, sK9: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_68, type, sK10: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_69, type, sK11: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_70, type, sK12: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_71, type, sK13: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_72, type, sK14: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_73, type, sK15: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_74, type, sK16: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_75, type, sK17: !>[X0: $tType]:((X0 > X0))).
% 3.07/0.89 thf(func_def_76, type, sK18: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 3.07/0.89 thf(func_def_77, type, sK19: a).
% 3.07/0.89 thf(f8,axiom,(
% 3.07/0.89 ! [X0 : $tType] : ((linorder @ X0 @ type2 @ X0) => ! [X2 : X0,X1 : X0] : ((ord_less_eq @ X0 @ X1 @ X2) => ~(ord_less @ X0 @ X2 @ X1)))),
% 3.07/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_leD)).
% 3.07/0.89 thf(f61,axiom,(
% 3.07/0.89 ! [X0 : $tType] : ((linorder @ X0 @ type2 @ X0) => ! [X2 : X0,X1 : X0] : ((X1 = X2) | (ord_less @ X0 @ X2 @ X1) | (ord_less @ X0 @ X1 @ X2)))),
% 3.07/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_less__linear)).
% 3.07/0.89 thf(f280,axiom,(
% 3.07/0.89 (linorder @ a @ type2 @ a)),
% 3.07/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0)).
% 3.07/0.89 thf(f282,axiom,(
% 3.07/0.89 ! [X0 : a] : ((member2 @ a @ X0 @ (set2 @ a @ xsa)) => (ord_less_eq @ a @ a2 @ X0)) & (linorder_sorted @ a @ xsa)),
% 3.07/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 3.07/0.89 thf(f283,axiom,(
% 3.07/0.89 (distinct @ a @ xsa) & ~(member2 @ a @ a2 @ (set2 @ a @ xsa))),
% 3.07/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)).
% 3.07/0.89 thf(f284,conjecture,(
% 3.07/0.89 (! [X0 : a] : (((member2 @ a @ X0 @ (set2 @ a @ xsa))) = ((member2 @ a @ X0 @ (set2 @ a @ xsa)) | (X0 = a2)) & (X0 != a2)) | (x != a2)) & (((! [X0 : a] : (((X0 = a2) | (member2 @ a @ X0 @ (set2 @ a @ xsa))) & (X0 != x) = ((X0 != x) & (member2 @ a @ X0 @ (set2 @ a @ xsa))) | (X0 = a2)) | ~(ord_less @ a @ a2 @ x)) & ((ord_less @ a @ a2 @ x) | ! [X0 : a] : ((member2 @ a @ X0 @ (set2 @ a @ xsa)) | (X0 = a2) = (X0 != x) & ((X0 = a2) | (member2 @ a @ X0 @ (set2 @ a @ xsa)))))) | (x = a2))),
% 3.07/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3)).
% 3.07/0.89 thf(f285,negated_conjecture,(
% 3.07/0.89 ~((! [X0 : a] : (((member2 @ a @ X0 @ (set2 @ a @ xsa))) = ((member2 @ a @ X0 @ (set2 @ a @ xsa)) | (X0 = a2)) & (X0 != a2)) | (x != a2)) & (((! [X0 : a] : (((X0 = a2) | (member2 @ a @ X0 @ (set2 @ a @ xsa))) & (X0 != x) = ((X0 != x) & (member2 @ a @ X0 @ (set2 @ a @ xsa))) | (X0 = a2)) | ~(ord_less @ a @ a2 @ x)) & ((ord_less @ a @ a2 @ x) | ! [X0 : a] : ((member2 @ a @ X0 @ (set2 @ a @ xsa)) | (X0 = a2) = (X0 != x) & ((X0 = a2) | (member2 @ a @ X0 @ (set2 @ a @ xsa)))))) | (x = a2)))),
% 3.07/0.89 inference(negated_conjecture,[status(cth)],[f284])).
% 3.07/0.89 thf(f343,plain,(
% 3.07/0.89 (distinct @ a @ xsa) & ~(member2 @ a @ a2 @ (set2 @ a @ xsa))),
% 3.07/0.89 inference(rectify,[],[f283])).
% 3.07/0.89 thf(f344,plain,(
% 3.07/0.89 ($true = (((~ (member2 @ a @ a2 @ (set2 @ a @ xsa))) & (distinct @ a @ xsa))))),
% 3.07/0.89 inference(fool_elimination,[],[f343])).
% 3.07/0.89 thf(f369,plain,(
% 3.07/0.89 ! [X0 : $tType] : ((linorder @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0] : ((ord_less_eq @ X0 @ X2 @ X1) => ~(ord_less @ X0 @ X1 @ X2)))),
% 3.07/0.89 inference(rectify,[],[f8])).
% 3.07/0.89 thf(f370,plain,(
% 3.07/0.89 ( ! [X0 : $tType] : (((((linorder @ X0 @ type2 @ X0) => (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((ord_less_eq @ X0 @ Y0 @ Y1) => (~ (ord_less @ X0 @ Y1 @ Y0))))))))) = $true)) )),
% 3.07/0.89 inference(fool_elimination,[],[f369])).
% 3.07/0.89 thf(f385,plain,(
% 3.07/0.89 (linorder @ a @ type2 @ a)),
% 3.07/0.89 inference(rectify,[],[f280])).
% 3.07/0.89 thf(f386,plain,(
% 3.07/0.89 (((linorder @ a @ type2 @ a)) = $true)),
% 3.07/0.89 inference(fool_elimination,[],[f385])).
% 3.07/0.89 thf(f705,plain,(
% 3.07/0.89 ! [X0 : $tType] : ((linorder @ X0 @ type2 @ X0) => ! [X1 : X0,X2 : X0] : ((X1 = X2) | (ord_less @ X0 @ X1 @ X2) | (ord_less @ X0 @ X2 @ X1)))),
% 3.07/0.89 inference(rectify,[],[f61])).
% 3.07/0.89 thf(f706,plain,(
% 3.07/0.89 ( ! [X0 : $tType] : (($true = (((linorder @ X0 @ type2 @ X0) => (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (((ord_less @ X0 @ Y0 @ Y1) | (ord_less @ X0 @ Y1 @ Y0)) | (Y1 = Y0)))))))))) )),
% 3.07/0.89 inference(fool_elimination,[],[f705])).
% 3.07/0.89 thf(f713,plain,(
% 3.07/0.89 ! [X0 : a] : ((member2 @ a @ X0 @ (set2 @ a @ xsa)) => (ord_less_eq @ a @ a2 @ X0)) & (linorder_sorted @ a @ xsa)),
% 3.07/0.89 inference(rectify,[],[f282])).
% 3.07/0.89 thf(f714,plain,(
% 3.07/0.89 ($true = (((linorder_sorted @ a @ xsa) & (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) => (ord_less_eq @ a @ a2 @ Y0)))))))),
% 3.07/0.89 inference(fool_elimination,[],[f713])).
% 3.07/0.89 thf(f779,plain,(
% 3.07/0.89 ~((! [X0 : a] : (((member2 @ a @ X0 @ (set2 @ a @ xsa))) = ((member2 @ a @ X0 @ (set2 @ a @ xsa)) | (X0 = a2)) & (X0 != a2)) | (x != a2)) & (((! [X1 : a] : (((a2 = X1) | (member2 @ a @ X1 @ (set2 @ a @ xsa))) & (x != X1) = ((x != X1) & (member2 @ a @ X1 @ (set2 @ a @ xsa))) | (a2 = X1)) | ~(ord_less @ a @ a2 @ x)) & ((ord_less @ a @ a2 @ x) | ! [X2 : a] : ((member2 @ a @ X2 @ (set2 @ a @ xsa)) | (a2 = X2) = (x != X2) & ((a2 = X2) | (member2 @ a @ X2 @ (set2 @ a @ xsa)))))) | (x = a2)))),
% 3.07/0.89 inference(rectify,[],[f285])).
% 3.07/0.89 thf(f780,plain,(
% 3.07/0.89 (((~ (((x = a2) | (((!! @ a @ (^[Y0 : a]: (((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))) = (((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0)) & (~ (x = Y0)))))) | (ord_less @ a @ a2 @ x)) & ((~ (ord_less @ a @ a2 @ x)) | (!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0)))))))))) & ((~ (x = a2)) | (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))))))))))) = $true)),
% 3.07/0.89 inference(fool_elimination,[],[f779])).
% 3.07/0.89 thf(f888,plain,(
% 3.07/0.89 ! [X0 : $tType] : ((((linorder @ X0 @ type2 @ X0) => (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((ord_less_eq @ X0 @ Y0 @ Y1) => (~ (ord_less @ X0 @ Y1 @ Y0))))))))) = $true)),
% 3.07/0.89 inference(closure,[],[f370])).
% 3.07/0.89 thf(f1061,plain,(
% 3.07/0.89 ! [X0 : $tType] : ($true = (((linorder @ X0 @ type2 @ X0) => (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (((ord_less @ X0 @ Y0 @ Y1) | (ord_less @ X0 @ Y1 @ Y0)) | (Y1 = Y0)))))))))),
% 3.07/0.89 inference(closure,[],[f706])).
% 3.07/0.89 thf(f1222,plain,(
% 3.07/0.89 (((linorder @ a @ type2 @ a)) = $true)),
% 3.07/0.89 inference(cnf_transformation,[],[f386])).
% 3.07/0.89 thf(f1302,plain,(
% 3.07/0.89 ( ! [X0 : $tType] : (((((linorder @ X0 @ type2 @ X0) => (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((ord_less_eq @ X0 @ Y0 @ Y1) => (~ (ord_less @ X0 @ Y1 @ Y0))))))))) = $true)) )),
% 3.07/0.89 inference(cnf_transformation,[],[f888])).
% 3.07/0.89 thf(f1358,plain,(
% 3.07/0.89 (((~ (((x = a2) | (((!! @ a @ (^[Y0 : a]: (((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))) = (((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0)) & (~ (x = Y0)))))) | (ord_less @ a @ a2 @ x)) & ((~ (ord_less @ a @ a2 @ x)) | (!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0)))))))))) & ((~ (x = a2)) | (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))))))))))) = $true)),
% 3.07/0.89 inference(cnf_transformation,[],[f780])).
% 3.07/0.89 thf(f1360,plain,(
% 3.07/0.89 ($true = (((~ (member2 @ a @ a2 @ (set2 @ a @ xsa))) & (distinct @ a @ xsa))))),
% 3.07/0.89 inference(cnf_transformation,[],[f344])).
% 3.07/0.89 thf(f1414,plain,(
% 3.07/0.89 ( ! [X0 : $tType] : (($true = (((linorder @ X0 @ type2 @ X0) => (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (((ord_less @ X0 @ Y0 @ Y1) | (ord_less @ X0 @ Y1 @ Y0)) | (Y1 = Y0)))))))))) )),
% 3.07/0.89 inference(cnf_transformation,[],[f1061])).
% 3.07/0.89 thf(f1432,plain,(
% 3.07/0.89 ($true = (((linorder_sorted @ a @ xsa) & (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) => (ord_less_eq @ a @ a2 @ Y0)))))))),
% 3.07/0.89 inference(cnf_transformation,[],[f714])).
% 3.07/0.89 thf(f1484,plain,(
% 3.07/0.89 ($true = ((!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) => (ord_less_eq @ a @ a2 @ Y0))))))),
% 3.07/0.89 inference(and_proxy_clausification,[],[f1432])).
% 3.07/0.89 thf(f1560,plain,(
% 3.07/0.89 ( ! [X0 : $tType] : (($true = ((!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (((ord_less @ X0 @ Y0 @ Y1) | (ord_less @ X0 @ Y1 @ Y0)) | (Y1 = Y0)))))))) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 3.07/0.89 inference(imp_proxy_clausification,[],[f1414])).
% 3.07/0.89 thf(f1577,plain,(
% 3.07/0.89 (((((x = a2) | (((!! @ a @ (^[Y0 : a]: (((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))) = (((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0)) & (~ (x = Y0)))))) | (ord_less @ a @ a2 @ x)) & ((~ (ord_less @ a @ a2 @ x)) | (!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0)))))))))) & ((~ (x = a2)) | (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa)))))))))) = $false)),
% 3.07/0.89 inference(not_proxy_clausification,[],[f1358])).
% 3.07/0.89 thf(f1616,plain,(
% 3.07/0.89 ( ! [X0 : $tType] : ((((!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((ord_less_eq @ X0 @ Y0 @ Y1) => (~ (ord_less @ X0 @ Y1 @ Y0)))))))) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 3.07/0.89 inference(imp_proxy_clausification,[],[f1302])).
% 3.07/0.89 thf(f1647,plain,(
% 3.07/0.89 (((~ (member2 @ a @ a2 @ (set2 @ a @ xsa)))) = $true)),
% 3.07/0.89 inference(and_proxy_clausification,[],[f1360])).
% 3.07/0.89 thf(f1682,plain,(
% 3.07/0.89 ((((x = a2) | (((!! @ a @ (^[Y0 : a]: (((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))) = (((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0)) & (~ (x = Y0)))))) | (ord_less @ a @ a2 @ x)) & ((~ (ord_less @ a @ a2 @ x)) | (!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0))))))))))) = $false) | ((((~ (x = a2)) | (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))))))))) = $false)),
% 3.07/0.89 inference(and_proxy_clausification,[],[f1577])).
% 3.07/0.89 thf(f1694,plain,(
% 3.07/0.89 (((member2 @ a @ a2 @ (set2 @ a @ xsa))) = $false)),
% 3.07/0.89 inference(not_proxy_clausification,[],[f1647])).
% 3.07/0.89 thf(f1698,plain,(
% 3.07/0.89 (((((!! @ a @ (^[Y0 : a]: (((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))) = (((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0)) & (~ (x = Y0)))))) | (ord_less @ a @ a2 @ x)) & ((~ (ord_less @ a @ a2 @ x)) | (!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0)))))))))) = $false) | ((((~ (x = a2)) | (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))))))))) = $false)),
% 3.07/0.89 inference(or_proxy_clausification,[],[f1682])).
% 3.07/0.89 thf(f1699,plain,(
% 3.07/0.89 (((x = a2)) = $false) | ((((~ (x = a2)) | (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))))))))) = $false)),
% 3.07/0.89 inference(or_proxy_clausification,[],[f1682])).
% 3.07/0.89 thf(f1700,plain,(
% 3.07/0.89 ((((~ (ord_less @ a @ a2 @ x)) | (!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0))))))))) = $false) | ((((~ (x = a2)) | (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))))))))) = $false) | ((((!! @ a @ (^[Y0 : a]: (((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))) = (((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0)) & (~ (x = Y0)))))) | (ord_less @ a @ a2 @ x))) = $false)),
% 3.07/0.89 inference(and_proxy_clausification,[],[f1698])).
% 3.07/0.89 thf(f1701,plain,(
% 3.07/0.89 ((((~ (x = a2)) | (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))))))))) = $false) | (x != a2)),
% 3.07/0.89 inference(equality_proxy_clausification,[],[f1699])).
% 3.07/0.89 thf(f1702,plain,(
% 3.07/0.89 (((!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0)))))))) = $false) | ((((!! @ a @ (^[Y0 : a]: (((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))) = (((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0)) & (~ (x = Y0)))))) | (ord_less @ a @ a2 @ x))) = $false) | ((((~ (x = a2)) | (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))))))))) = $false)),
% 3.07/0.89 inference(or_proxy_clausification,[],[f1700])).
% 3.07/0.89 thf(f1704,plain,(
% 3.07/0.89 (x != a2) | (((!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa)))))))) = $false)),
% 3.07/0.89 inference(or_proxy_clausification,[],[f1701])).
% 3.07/0.89 thf(f1706,plain,(
% 3.07/0.89 (((!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0)))))))) = $false) | ((((~ (x = a2)) | (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))))))))) = $false) | (((ord_less @ a @ a2 @ x)) = $false)),
% 3.07/0.89 inference(or_proxy_clausification,[],[f1702])).
% 3.07/0.89 thf(f1707,plain,(
% 3.07/0.89 (((!! @ a @ (^[Y0 : a]: (((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))) = (((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0)) & (~ (x = Y0))))))) = $false) | (((!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0)))))))) = $false) | ((((~ (x = a2)) | (!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))))))))) = $false)),
% 3.07/0.89 inference(or_proxy_clausification,[],[f1702])).
% 3.07/0.89 thf(f1712,definition,(
% 3.07/0.89 spl0_1 <=> (((!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa)))))))) = $false)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 3.07/0.89 thf(f1714,plain,(
% 3.07/0.89 (((!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa)))))))) = $false) | ~spl0_1),
% 3.07/0.89 inference(avatar_component_clause,[],[f1712])).
% 3.07/0.89 thf(f1716,definition,(
% 3.07/0.89 spl0_2 <=> (x = a2)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 3.07/0.89 thf(f1718,plain,(
% 3.07/0.89 (x != a2) | spl0_2),
% 3.07/0.89 inference(avatar_component_clause,[],[f1716])).
% 3.07/0.89 thf(f1719,plain,(
% 3.07/0.89 spl0_1 | ~spl0_2),
% 3.07/0.89 inference(avatar_split_clause,[],[f1704,f1716,f1712])).
% 3.07/0.89 thf(f1720,plain,(
% 3.07/0.89 (((ord_less @ a @ a2 @ x)) = $false) | (((!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa)))))))) = $false) | (((!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0)))))))) = $false)),
% 3.07/0.89 inference(or_proxy_clausification,[],[f1706])).
% 3.07/0.89 thf(f1722,plain,(
% 3.07/0.89 (((!! @ a @ (^[Y0 : a]: (((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))) = (((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0)) & (~ (x = Y0))))))) = $false) | (((!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0)))))))) = $false) | (((!! @ a @ (^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa)))))))) = $false)),
% 3.07/0.89 inference(or_proxy_clausification,[],[f1707])).
% 3.07/0.89 thf(f1728,definition,(
% 3.07/0.89 spl0_3 <=> (((!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0)))))))) = $false)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 3.07/0.89 thf(f1730,plain,(
% 3.07/0.89 (((!! @ a @ (^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0)))))))) = $false) | ~spl0_3),
% 3.07/0.89 inference(avatar_component_clause,[],[f1728])).
% 3.07/0.89 thf(f1732,definition,(
% 3.07/0.89 spl0_4 <=> (((ord_less @ a @ a2 @ x)) = $false)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 3.07/0.89 thf(f1734,plain,(
% 3.07/0.89 (((ord_less @ a @ a2 @ x)) = $false) | ~spl0_4),
% 3.07/0.89 inference(avatar_component_clause,[],[f1732])).
% 3.07/0.89 thf(f1735,plain,(
% 3.07/0.89 spl0_3 | spl0_4 | spl0_1),
% 3.07/0.89 inference(avatar_split_clause,[],[f1720,f1712,f1732,f1728])).
% 3.07/0.89 thf(f1738,definition,(
% 3.07/0.89 spl0_5 <=> (((!! @ a @ (^[Y0 : a]: (((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))) = (((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0)) & (~ (x = Y0))))))) = $false)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition])).
% 3.07/0.89 thf(f1740,plain,(
% 3.07/0.89 (((!! @ a @ (^[Y0 : a]: (((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))) = (((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0)) & (~ (x = Y0))))))) = $false) | ~spl0_5),
% 3.07/0.89 inference(avatar_component_clause,[],[f1738])).
% 3.07/0.89 thf(f1741,plain,(
% 3.07/0.89 spl0_3 | spl0_1 | spl0_5),
% 3.07/0.89 inference(avatar_split_clause,[],[f1722,f1738,f1712,f1728])).
% 3.07/0.89 thf(f1750,definition,(
% 3.07/0.89 spl0_6 <=> (((ord_less @ a @ a2 @ x)) = $true)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition])).
% 3.07/0.89 thf(f1752,plain,(
% 3.07/0.89 (((ord_less @ a @ a2 @ x)) = $true) | ~spl0_6),
% 3.07/0.89 inference(avatar_component_clause,[],[f1750])).
% 3.07/0.89 thf(f1809,definition,(
% 3.07/0.89 spl0_7 <=> (x = sK1)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition])).
% 3.07/0.89 thf(f1811,plain,(
% 3.07/0.89 (x = sK1) | ~spl0_7),
% 3.07/0.89 inference(avatar_component_clause,[],[f1809])).
% 3.07/0.89 thf(f1813,definition,(
% 3.07/0.89 spl0_8 <=> (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $false)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition])).
% 3.07/0.89 thf(f1815,plain,(
% 3.07/0.89 (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $false) | ~spl0_8),
% 3.07/0.89 inference(avatar_component_clause,[],[f1813])).
% 3.07/0.89 thf(f1819,definition,(
% 3.07/0.89 spl0_9 <=> (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $true)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition])).
% 3.07/0.89 thf(f1821,plain,(
% 3.07/0.89 (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $true) | ~spl0_9),
% 3.07/0.89 inference(avatar_component_clause,[],[f1819])).
% 3.07/0.89 thf(f1823,definition,(
% 3.07/0.89 spl0_10 <=> (a2 = sK1)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition])).
% 3.07/0.89 thf(f1837,plain,(
% 3.07/0.89 ( ! [X1 : a] : (($true = (((^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) => (ord_less_eq @ a @ a2 @ Y0))) @ X1)))) )),
% 3.07/0.89 inference(pi_proxy_clausification,[],[f1484])).
% 3.07/0.89 thf(f1838,plain,(
% 3.07/0.89 ( ! [X1 : a] : (((((member2 @ a @ X1 @ (set2 @ a @ xsa)) => (ord_less_eq @ a @ a2 @ X1))) = $true)) )),
% 3.07/0.89 inference(beta-eta_normalization,[],[f1837])).
% 3.07/0.89 thf(f1839,plain,(
% 3.07/0.89 ( ! [X1 : a] : (($false = ((member2 @ a @ X1 @ (set2 @ a @ xsa)))) | (((ord_less_eq @ a @ a2 @ X1)) = $true)) )),
% 3.07/0.89 inference(imp_proxy_clausification,[],[f1838])).
% 3.07/0.89 thf(f1863,definition,(
% 3.07/0.89 spl0_11 <=> (a2 = sK2)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition])).
% 3.07/0.89 thf(f1865,plain,(
% 3.07/0.89 (a2 = sK2) | ~spl0_11),
% 3.07/0.89 inference(avatar_component_clause,[],[f1863])).
% 3.07/0.89 thf(f1867,definition,(
% 3.07/0.89 spl0_12 <=> (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $true)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition])).
% 3.07/0.89 thf(f1869,plain,(
% 3.07/0.89 (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $true) | ~spl0_12),
% 3.07/0.89 inference(avatar_component_clause,[],[f1867])).
% 3.07/0.89 thf(f1874,definition,(
% 3.07/0.89 spl0_13 <=> (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $false)),
% 3.07/0.89 introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition])).
% 3.07/0.89 thf(f1876,plain,(
% 3.07/0.89 (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $false) | ~spl0_13),
% 3.07/0.89 inference(avatar_component_clause,[],[f1874])).
% 3.07/0.89 thf(f2194,plain,(
% 3.07/0.89 ((((^[Y0 : a]: (((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa))) = (((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0)) & (~ (x = Y0))))) @ sK1)) = $false) | ~spl0_5),
% 3.07/0.89 inference(sigma_proxy_clausification,[],[f1740])).
% 3.07/0.89 thf(f2196,plain,(
% 3.07/0.89 (((((a2 = sK1) | (member2 @ a @ sK1 @ (set2 @ a @ xsa))) = (((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)) & (~ (x = sK1))))) = $false) | ~spl0_5),
% 3.07/0.89 inference(beta-eta_normalization,[],[f2194])).
% 3.07/0.89 thf(f2198,plain,(
% 3.07/0.89 (((((a2 = x) | (member2 @ a @ x @ (set2 @ a @ xsa))) = (((member2 @ a @ x @ (set2 @ a @ xsa)) | (a2 = x)) & (~ (x = x))))) = $false) | (~spl0_5 | ~spl0_7)),
% 3.07/0.89 inference(forward_demodulation,[],[f2196,f1811])).
% 3.07/0.89 thf(f2199,plain,(
% 3.07/0.89 (((((a2 = x) | (member2 @ a @ x @ (set2 @ a @ xsa))) = (((member2 @ a @ x @ (set2 @ a @ xsa)) | (a2 = x)) & (~ $true)))) = $false) | (~spl0_5 | ~spl0_7)),
% 3.07/0.89 inference(boolean_simplification,[],[f2198])).
% 3.07/0.89 thf(f2200,plain,(
% 3.07/0.89 (((((a2 = x) | (member2 @ a @ x @ (set2 @ a @ xsa))) = (((member2 @ a @ x @ (set2 @ a @ xsa)) | (a2 = x)) & $false))) = $false) | (~spl0_5 | ~spl0_7)),
% 3.07/0.89 inference(boolean_simplification,[],[f2199])).
% 3.07/0.89 thf(f2852,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X1 : X0] : ((((linorder @ X0 @ type2 @ X0)) = $false) | ((((^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((ord_less_eq @ X0 @ Y0 @ Y1) => (~ (ord_less @ X0 @ Y1 @ Y0)))))) @ X1)) = $true)) )),
% 3.07/0.89 inference(pi_proxy_clausification,[],[f1616])).
% 3.07/0.89 thf(f2853,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X1 : X0] : ((((!! @ X0 @ (^[Y0 : X0]: ((ord_less_eq @ X0 @ X1 @ Y0) => (~ (ord_less @ X0 @ Y0 @ X1)))))) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 3.07/0.89 inference(beta-eta_normalization,[],[f2852])).
% 3.07/0.89 thf(f2854,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (((((^[Y0 : X0]: ((ord_less_eq @ X0 @ X1 @ Y0) => (~ (ord_less @ X0 @ Y0 @ X1)))) @ X2)) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 3.07/0.89 inference(pi_proxy_clausification,[],[f2853])).
% 3.07/0.89 thf(f2855,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (((((ord_less_eq @ X0 @ X1 @ X2) => (~ (ord_less @ X0 @ X2 @ X1)))) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 3.07/0.89 inference(beta-eta_normalization,[],[f2854])).
% 3.07/0.89 thf(f2856,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((ord_less_eq @ X0 @ X1 @ X2)) = $false) | (((~ (ord_less @ X0 @ X2 @ X1))) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 3.07/0.89 inference(imp_proxy_clausification,[],[f2855])).
% 3.07/0.89 thf(f2857,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((ord_less_eq @ X0 @ X1 @ X2)) = $false) | (((ord_less @ X0 @ X2 @ X1)) = $false) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 3.07/0.89 inference(not_proxy_clausification,[],[f2856])).
% 3.07/0.89 thf(f5827,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X1 : X0] : ((((linorder @ X0 @ type2 @ X0)) = $false) | ((((^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (((ord_less @ X0 @ Y0 @ Y1) | (ord_less @ X0 @ Y1 @ Y0)) | (Y1 = Y0))))) @ X1)) = $true)) )),
% 3.07/0.89 inference(pi_proxy_clausification,[],[f1560])).
% 3.07/0.89 thf(f5828,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X1 : X0] : ((((!! @ X0 @ (^[Y0 : X0]: (((ord_less @ X0 @ X1 @ Y0) | (ord_less @ X0 @ Y0 @ X1)) | (Y0 = X1))))) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 3.07/0.89 inference(beta-eta_normalization,[],[f5827])).
% 3.07/0.89 thf(f5833,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (($true = (((^[Y0 : X0]: (((ord_less @ X0 @ X1 @ Y0) | (ord_less @ X0 @ Y0 @ X1)) | (Y0 = X1))) @ X2))) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 3.07/0.89 inference(pi_proxy_clausification,[],[f5828])).
% 3.07/0.89 thf(f5834,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((((ord_less @ X0 @ X1 @ X2) | (ord_less @ X0 @ X2 @ X1)) | (X2 = X1))) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 3.07/0.89 inference(beta-eta_normalization,[],[f5833])).
% 3.07/0.89 thf(f5835,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (((((ord_less @ X0 @ X1 @ X2) | (ord_less @ X0 @ X2 @ X1))) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false) | (((X2 = X1)) = $true)) )),
% 3.07/0.89 inference(or_proxy_clausification,[],[f5834])).
% 3.07/0.89 thf(f5836,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((ord_less @ X0 @ X1 @ X2)) = $true) | (((X2 = X1)) = $true) | (((ord_less @ X0 @ X2 @ X1)) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false)) )),
% 3.07/0.89 inference(or_proxy_clausification,[],[f5835])).
% 3.07/0.89 thf(f5837,plain,(
% 3.07/0.89 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((((ord_less @ X0 @ X2 @ X1)) = $true) | (((linorder @ X0 @ type2 @ X0)) = $false) | (X1 = X2) | (((ord_less @ X0 @ X1 @ X2)) = $true)) )),
% 3.07/0.89 inference(equality_proxy_clausification,[],[f5836])).
% 3.07/0.89 thf(f6044,plain,(
% 3.07/0.89 ($false = $true) | (~spl0_8 | ~spl0_9)),
% 3.07/0.89 inference(superposition,[],[f1815,f1821])).
% 3.07/0.89 thf(f6047,plain,(
% 3.07/0.89 $false | (~spl0_8 | ~spl0_9)),
% 3.07/0.89 inference(trivial_inequality_removal,[],[f6044])).
% 3.07/0.89 thf(f6048,plain,(
% 3.07/0.89 ~spl0_8 | ~spl0_9),
% 3.07/0.89 inference(avatar_contradiction_clause,[],[f6047])).
% 3.07/0.89 thf(f6053,plain,(
% 3.07/0.89 ($false = $true) | (~spl0_4 | ~spl0_6)),
% 3.07/0.89 inference(forward_demodulation,[],[f1752,f1734])).
% 3.07/0.89 thf(f6054,plain,(
% 3.07/0.89 $false | (~spl0_4 | ~spl0_6)),
% 3.07/0.89 inference(trivial_inequality_removal,[],[f6053])).
% 3.07/0.89 thf(f6055,plain,(
% 3.07/0.89 ~spl0_4 | ~spl0_6),
% 3.07/0.89 inference(avatar_contradiction_clause,[],[f6054])).
% 3.07/0.89 thf(f6059,plain,(
% 3.07/0.89 (((((a2 = x) | (member2 @ a @ x @ (set2 @ a @ xsa))) = $false)) = $false) | (~spl0_5 | ~spl0_7)),
% 3.07/0.89 inference(boolean_simplification,[],[f2200])).
% 3.07/0.89 thf(f6076,plain,(
% 3.07/0.89 (((((a2 = sK1) | (member2 @ a @ sK1 @ (set2 @ a @ xsa))) = (((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)) & (~ (x = sK1))))) = $false) | ~spl0_5),
% 3.07/0.89 inference(beta-eta_normalization,[],[f2194])).
% 3.07/0.89 thf(f6113,plain,(
% 3.07/0.89 ((((a2 = x) | (member2 @ a @ x @ (set2 @ a @ xsa)))) != $false) | (~spl0_5 | ~spl0_7)),
% 3.07/0.89 inference(equality_proxy_clausification,[],[f6059])).
% 3.07/0.89 thf(f6262,plain,(
% 3.07/0.89 ((((a2 = sK1) | (member2 @ a @ sK1 @ (set2 @ a @ xsa)))) != ((((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)) & (~ (x = sK1))))) | ~spl0_5),
% 3.07/0.89 inference(equality_proxy_clausification,[],[f2196])).
% 3.07/0.89 thf(f6263,plain,(
% 3.07/0.89 ((((a2 = sK1) | (member2 @ a @ sK1 @ (set2 @ a @ xsa)))) != ((((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)) & (~ (x = sK1))))) | ~spl0_5),
% 3.07/0.89 inference(equality_proxy_clausification,[],[f6076])).
% 3.07/0.89 thf(f6426,plain,(
% 3.07/0.89 ($true = ((member2 @ a @ x @ (set2 @ a @ xsa)))) | (((a2 = x)) = $true) | (~spl0_5 | ~spl0_7)),
% 3.07/0.89 inference(or_proxy_clausification,[],[f6113])).
% 3.07/0.89 thf(f6557,plain,(
% 3.07/0.89 ((((a2 = sK1) | (member2 @ a @ sK1 @ (set2 @ a @ xsa)))) = $true) | ($true = ((((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)) & (~ (x = sK1))))) | ~spl0_5),
% 3.07/0.89 inference(xor_proxy_clausification,[],[f6262])).
% 3.07/0.89 thf(f6560,plain,(
% 3.07/0.89 ((((a2 = sK1) | (member2 @ a @ sK1 @ (set2 @ a @ xsa)))) = $false) | ($false = ((((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)) & (~ (x = sK1))))) | ~spl0_5),
% 3.07/0.89 inference(xor_proxy_clausification,[],[f6263])).
% 3.07/0.89 thf(f6682,plain,(
% 3.07/0.89 ($true = ((member2 @ a @ x @ (set2 @ a @ xsa)))) | (x = a2) | (~spl0_5 | ~spl0_7)),
% 3.07/0.89 inference(equality_proxy_clausification,[],[f6426])).
% 3.07/0.89 thf(f6780,plain,(
% 3.07/0.89 (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $true) | (((a2 = sK1)) = $true) | ($true = ((((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)) & (~ (x = sK1))))) | ~spl0_5),
% 3.07/0.89 inference(or_proxy_clausification,[],[f6557])).
% 3.07/0.89 thf(f6783,plain,(
% 3.07/0.89 (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $false) | ($false = ((((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)) & (~ (x = sK1))))) | ~spl0_5),
% 3.07/0.89 inference(or_proxy_clausification,[],[f6560])).
% 3.07/0.89 thf(f6784,plain,(
% 3.07/0.89 ($false = ((((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)) & (~ (x = sK1))))) | (((a2 = sK1)) = $false) | ~spl0_5),
% 3.07/0.89 inference(or_proxy_clausification,[],[f6560])).
% 3.07/0.89 thf(f6879,plain,(
% 3.07/0.89 ($true = ((member2 @ a @ x @ (set2 @ a @ xsa)))) | (spl0_2 | ~spl0_5 | ~spl0_7)),
% 3.07/0.89 inference(forward_subsumption_resolution,[],[f6682,f1718])).
% 3.07/0.89 thf(f6956,plain,(
% 3.07/0.89 (a2 = sK1) | ($true = ((((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)) & (~ (x = sK1))))) | (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $true) | ~spl0_5),
% 3.07/0.89 inference(equality_proxy_clausification,[],[f6780])).
% 3.07/0.89 thf(f6959,plain,(
% 3.07/0.89 (((a2 = sK1)) = $false) | ($false = (((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)))) | (((~ (x = sK1))) = $false) | ~spl0_5),
% 3.07/0.89 inference(and_proxy_clausification,[],[f6784])).
% 3.07/0.89 thf(f6960,plain,(
% 3.07/0.89 ($false = (((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)))) | (((~ (x = sK1))) = $false) | (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $false) | ~spl0_5),
% 3.07/0.89 inference(and_proxy_clausification,[],[f6783])).
% 3.07/0.89 thf(f7094,plain,(
% 3.07/0.89 ($true = (((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)))) | (a2 = sK1) | (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $true) | ~spl0_5),
% 3.07/0.89 inference(and_proxy_clausification,[],[f6956])).
% 3.07/0.89 thf(f7097,plain,(
% 3.07/0.89 (((~ (x = sK1))) = $false) | ($false = (((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)))) | (a2 != sK1) | ~spl0_5),
% 3.07/0.89 inference(equality_proxy_clausification,[],[f6959])).
% 3.07/0.89 thf(f7099,plain,(
% 3.07/0.89 (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $false) | (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $false) | (((~ (x = sK1))) = $false) | ~spl0_5),
% 3.07/0.89 inference(or_proxy_clausification,[],[f6960])).
% 3.07/0.89 thf(f7100,plain,(
% 3.07/0.89 (((~ (x = sK1))) = $false) | (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $false) | ~spl0_5),
% 3.07/0.89 inference(duplicate_literal_removal,[],[f7099])).
% 3.07/0.89 thf(f7207,plain,(
% 3.07/0.89 (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $true) | (((a2 = sK1)) = $true) | (a2 = sK1) | (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $true) | ~spl0_5),
% 3.07/0.89 inference(or_proxy_clausification,[],[f7094])).
% 3.07/0.89 thf(f7208,plain,(
% 3.07/0.89 (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $true) | (a2 = sK1) | (((a2 = sK1)) = $true) | ~spl0_5),
% 3.07/0.89 inference(duplicate_literal_removal,[],[f7207])).
% 3.07/0.89 thf(f7213,plain,(
% 3.07/0.89 (((x = sK1)) = $true) | ($false = (((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)))) | (a2 != sK1) | ~spl0_5),
% 3.07/0.89 inference(not_proxy_clausification,[],[f7097])).
% 3.07/0.89 thf(f7214,plain,(
% 3.07/0.89 (((x = sK1)) = $true) | (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $false) | ~spl0_5),
% 3.07/0.89 inference(not_proxy_clausification,[],[f7100])).
% 3.07/0.89 thf(f7288,plain,(
% 3.07/0.89 (a2 = sK1) | (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $true) | (a2 = sK1) | ~spl0_5),
% 3.07/0.89 inference(equality_proxy_clausification,[],[f7208])).
% 3.07/0.89 thf(f7289,plain,(
% 3.07/0.89 (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $true) | (a2 = sK1) | ~spl0_5),
% 3.07/0.89 inference(duplicate_literal_removal,[],[f7288])).
% 3.07/0.89 thf(f7295,plain,(
% 3.07/0.89 (a2 != sK1) | (x = sK1) | ($false = (((member2 @ a @ sK1 @ (set2 @ a @ xsa)) | (a2 = sK1)))) | ~spl0_5),
% 3.07/0.89 inference(equality_proxy_clausification,[],[f7213])).
% 3.07/0.89 thf(f7296,plain,(
% 3.07/0.89 (x = sK1) | (((member2 @ a @ sK1 @ (set2 @ a @ xsa))) = $false) | ~spl0_5),
% 3.07/0.89 inference(equality_proxy_clausification,[],[f7214])).
% 3.07/0.89 thf(f7334,plain,(
% 3.07/0.89 spl0_10 | spl0_9 | ~spl0_5),
% 3.07/0.89 inference(avatar_split_clause,[],[f7289,f1738,f1819,f1823])).
% 3.07/0.89 thf(f7339,plain,(
% 3.07/0.89 (a2 != sK1) | (x = sK1) | (((a2 = sK1)) = $false) | ~spl0_5),
% 3.07/0.89 inference(or_proxy_clausification,[],[f7295])).
% 3.07/0.89 thf(f7341,plain,(
% 3.07/0.89 spl0_7 | spl0_8 | ~spl0_5),
% 3.07/0.89 inference(avatar_split_clause,[],[f7296,f1738,f1813,f1809])).
% 3.07/0.90 thf(f7356,plain,(
% 3.07/0.90 (x = sK1) | (a2 != sK1) | (a2 != sK1) | ~spl0_5),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f7339])).
% 3.07/0.90 thf(f7357,plain,(
% 3.07/0.90 (x = sK1) | (a2 != sK1) | ~spl0_5),
% 3.07/0.90 inference(duplicate_literal_removal,[],[f7356])).
% 3.07/0.90 thf(f7363,plain,(
% 3.07/0.90 spl0_7 | ~spl0_10 | ~spl0_5),
% 3.07/0.90 inference(avatar_split_clause,[],[f7357,f1738,f1823,f1809])).
% 3.07/0.90 thf(f7365,plain,(
% 3.07/0.90 ($false = $true) | ($true = ((ord_less_eq @ a @ a2 @ x))) | (spl0_2 | ~spl0_5 | ~spl0_7)),
% 3.07/0.90 inference(superposition,[],[f1839,f6879])).
% 3.07/0.90 thf(f7366,plain,(
% 3.07/0.90 ($true = ((ord_less_eq @ a @ a2 @ x))) | (spl0_2 | ~spl0_5 | ~spl0_7)),
% 3.07/0.90 inference(trivial_inequality_removal,[],[f7365])).
% 3.07/0.90 thf(f7540,definition,(
% 3.07/0.90 spl0_54 <=> (((ord_less @ a @ x @ a2)) = $false)),
% 3.07/0.90 introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition])).
% 3.07/0.90 thf(f7542,plain,(
% 3.07/0.90 (((ord_less @ a @ x @ a2)) = $false) | ~spl0_54),
% 3.07/0.90 inference(avatar_component_clause,[],[f7540])).
% 3.07/0.90 thf(f7575,plain,(
% 3.07/0.90 ($false = $true) | (((ord_less @ a @ x @ a2)) = $false) | (((linorder @ a @ type2 @ a)) = $false) | (spl0_2 | ~spl0_5 | ~spl0_7)),
% 3.07/0.90 inference(superposition,[],[f7366,f2857])).
% 3.07/0.90 thf(f7586,plain,(
% 3.07/0.90 (((linorder @ a @ type2 @ a)) = $false) | (((ord_less @ a @ x @ a2)) = $false) | (spl0_2 | ~spl0_5 | ~spl0_7)),
% 3.07/0.90 inference(trivial_inequality_removal,[],[f7575])).
% 3.07/0.90 thf(f7596,plain,(
% 3.07/0.90 (((ord_less @ a @ x @ a2)) = $false) | ($false = $true) | (spl0_2 | ~spl0_5 | ~spl0_7)),
% 3.07/0.90 inference(forward_demodulation,[],[f7586,f1222])).
% 3.07/0.90 thf(f7597,plain,(
% 3.07/0.90 (((ord_less @ a @ x @ a2)) = $false) | (spl0_2 | ~spl0_5 | ~spl0_7)),
% 3.07/0.90 inference(trivial_inequality_removal,[],[f7596])).
% 3.07/0.90 thf(f7603,plain,(
% 3.07/0.90 spl0_54 | spl0_2 | ~spl0_5 | ~spl0_7),
% 3.07/0.90 inference(avatar_split_clause,[],[f7597,f1809,f1738,f1716,f7540])).
% 3.07/0.90 thf(f7618,plain,(
% 3.07/0.90 (((linorder @ a @ type2 @ a)) = $false) | (x = a2) | ($false = $true) | (((ord_less @ a @ a2 @ x)) = $true) | ~spl0_54),
% 3.07/0.90 inference(superposition,[],[f5837,f7542])).
% 3.07/0.90 thf(f7621,plain,(
% 3.07/0.90 (x = a2) | (((linorder @ a @ type2 @ a)) = $false) | (((ord_less @ a @ a2 @ x)) = $true) | ~spl0_54),
% 3.07/0.90 inference(trivial_inequality_removal,[],[f7618])).
% 3.07/0.90 thf(f7665,plain,(
% 3.07/0.90 ((((^[Y0 : a]: (((~ (x = Y0)) & ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) | (a2 = Y0))) = ((a2 = Y0) | ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) & (~ (x = Y0)))))) @ sK19)) = $false) | ~spl0_3),
% 3.07/0.90 inference(sigma_proxy_clausification,[],[f1730])).
% 3.07/0.90 thf(f7667,plain,(
% 3.07/0.90 ($false = ((((~ (x = sK19)) & ((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))) = ((a2 = sK19) | ((member2 @ a @ sK19 @ (set2 @ a @ xsa)) & (~ (x = sK19))))))) | ~spl0_3),
% 3.07/0.90 inference(beta-eta_normalization,[],[f7665])).
% 3.07/0.90 thf(f7669,plain,(
% 3.07/0.90 ((((a2 = sK19) | ((member2 @ a @ sK19 @ (set2 @ a @ xsa)) & (~ (x = sK19))))) != (((~ (x = sK19)) & ((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))))) | ~spl0_3),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f7667])).
% 3.07/0.90 thf(f7670,plain,(
% 3.07/0.90 ($true = (((~ (x = sK19)) & ((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))))) | ($true = (((a2 = sK19) | ((member2 @ a @ sK19 @ (set2 @ a @ xsa)) & (~ (x = sK19)))))) | ~spl0_3),
% 3.07/0.90 inference(xor_proxy_clausification,[],[f7669])).
% 3.07/0.90 thf(f7671,plain,(
% 3.07/0.90 ($false = (((~ (x = sK19)) & ((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))))) | ($false = (((a2 = sK19) | ((member2 @ a @ sK19 @ (set2 @ a @ xsa)) & (~ (x = sK19)))))) | ~spl0_3),
% 3.07/0.90 inference(xor_proxy_clausification,[],[f7669])).
% 3.07/0.90 thf(f7672,plain,(
% 3.07/0.90 ($false = (((a2 = sK19) | ((member2 @ a @ sK19 @ (set2 @ a @ xsa)) & (~ (x = sK19)))))) | (((~ (x = sK19))) = $false) | ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))) = $false) | ~spl0_3),
% 3.07/0.90 inference(and_proxy_clausification,[],[f7671])).
% 3.07/0.90 thf(f7673,plain,(
% 3.07/0.90 ($true = (((a2 = sK19) | ((member2 @ a @ sK19 @ (set2 @ a @ xsa)) & (~ (x = sK19)))))) | ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))) = $true) | ~spl0_3),
% 3.07/0.90 inference(and_proxy_clausification,[],[f7670])).
% 3.07/0.90 thf(f7674,plain,(
% 3.07/0.90 (((~ (x = sK19))) = $true) | ($true = (((a2 = sK19) | ((member2 @ a @ sK19 @ (set2 @ a @ xsa)) & (~ (x = sK19)))))) | ~spl0_3),
% 3.07/0.90 inference(and_proxy_clausification,[],[f7670])).
% 3.07/0.90 thf(f7675,plain,(
% 3.07/0.90 ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) & (~ (x = sK19)))) = $false) | ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))) = $false) | (((~ (x = sK19))) = $false) | ~spl0_3),
% 3.07/0.90 inference(or_proxy_clausification,[],[f7672])).
% 3.07/0.90 thf(f7676,plain,(
% 3.07/0.90 (((~ (x = sK19))) = $false) | ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))) = $false) | (((a2 = sK19)) = $false) | ~spl0_3),
% 3.07/0.90 inference(or_proxy_clausification,[],[f7672])).
% 3.07/0.90 thf(f7677,plain,(
% 3.07/0.90 ($true = (((a2 = sK19) | ((member2 @ a @ sK19 @ (set2 @ a @ xsa)) & (~ (x = sK19)))))) | ($false = ((x = sK19))) | ~spl0_3),
% 3.07/0.90 inference(not_proxy_clausification,[],[f7674])).
% 3.07/0.90 thf(f7678,plain,(
% 3.07/0.90 ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) & (~ (x = sK19)))) = $true) | ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))) = $true) | (((a2 = sK19)) = $true) | ~spl0_3),
% 3.07/0.90 inference(or_proxy_clausification,[],[f7673])).
% 3.07/0.90 thf(f7679,plain,(
% 3.07/0.90 ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))) = $false) | (((~ (x = sK19))) = $false) | (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $false) | (((~ (x = sK19))) = $false) | ~spl0_3),
% 3.07/0.90 inference(and_proxy_clausification,[],[f7675])).
% 3.07/0.90 thf(f7680,plain,(
% 3.07/0.90 ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))) = $false) | (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $false) | (((~ (x = sK19))) = $false) | ~spl0_3),
% 3.07/0.90 inference(duplicate_literal_removal,[],[f7679])).
% 3.07/0.90 thf(f7681,plain,(
% 3.07/0.90 ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))) = $false) | (((a2 = sK19)) = $false) | ($true = ((x = sK19))) | ~spl0_3),
% 3.07/0.90 inference(not_proxy_clausification,[],[f7676])).
% 3.07/0.90 thf(f7682,plain,(
% 3.07/0.90 ($false = ((x = sK19))) | ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) & (~ (x = sK19)))) = $true) | (((a2 = sK19)) = $true) | ~spl0_3),
% 3.07/0.90 inference(or_proxy_clausification,[],[f7677])).
% 3.07/0.90 thf(f7684,plain,(
% 3.07/0.90 (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $true) | ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) | (a2 = sK19))) = $true) | (((a2 = sK19)) = $true) | ~spl0_3),
% 3.07/0.90 inference(and_proxy_clausification,[],[f7678])).
% 3.07/0.90 thf(f7686,plain,(
% 3.07/0.90 (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $false) | (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $false) | (((~ (x = sK19))) = $false) | ~spl0_3),
% 3.07/0.90 inference(or_proxy_clausification,[],[f7680])).
% 3.07/0.90 thf(f7687,plain,(
% 3.07/0.90 (((~ (x = sK19))) = $false) | (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $false) | ~spl0_3),
% 3.07/0.90 inference(duplicate_literal_removal,[],[f7686])).
% 3.07/0.90 thf(f7688,plain,(
% 3.07/0.90 ($true = ((x = sK19))) | (((a2 = sK19)) = $false) | (((a2 = sK19)) = $false) | ~spl0_3),
% 3.07/0.90 inference(or_proxy_clausification,[],[f7681])).
% 3.07/0.90 thf(f7690,plain,(
% 3.07/0.90 ($true = ((x = sK19))) | (((a2 = sK19)) = $false) | ~spl0_3),
% 3.07/0.90 inference(duplicate_literal_removal,[],[f7688])).
% 3.07/0.90 thf(f7691,plain,(
% 3.07/0.90 ((((member2 @ a @ sK19 @ (set2 @ a @ xsa)) & (~ (x = sK19)))) = $true) | (x != sK19) | (((a2 = sK19)) = $true) | ~spl0_3),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f7682])).
% 3.07/0.90 thf(f7693,plain,(
% 3.07/0.90 (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $true) | (((a2 = sK19)) = $true) | (((a2 = sK19)) = $true) | (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $true) | ~spl0_3),
% 3.07/0.90 inference(or_proxy_clausification,[],[f7684])).
% 3.07/0.90 thf(f7694,plain,(
% 3.07/0.90 (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $true) | (((a2 = sK19)) = $true) | ~spl0_3),
% 3.07/0.90 inference(duplicate_literal_removal,[],[f7693])).
% 3.07/0.90 thf(f7695,plain,(
% 3.07/0.90 ($true = ((x = sK19))) | (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $false) | ~spl0_3),
% 3.07/0.90 inference(not_proxy_clausification,[],[f7687])).
% 3.07/0.90 thf(f7698,plain,(
% 3.07/0.90 (((a2 = sK19)) = $false) | (x = sK19) | ~spl0_3),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f7690])).
% 3.07/0.90 thf(f7699,plain,(
% 3.07/0.90 (((~ (x = sK19))) = $true) | (((a2 = sK19)) = $true) | (x != sK19) | ~spl0_3),
% 3.07/0.90 inference(and_proxy_clausification,[],[f7691])).
% 3.07/0.90 thf(f7703,plain,(
% 3.07/0.90 (a2 = sK19) | (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $true) | ~spl0_3),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f7694])).
% 3.07/0.90 thf(f7704,plain,(
% 3.07/0.90 (x = sK19) | (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $false) | ~spl0_3),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f7695])).
% 3.07/0.90 thf(f7706,plain,(
% 3.07/0.90 (a2 != sK19) | (x = sK19) | ~spl0_3),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f7698])).
% 3.07/0.90 thf(f7708,plain,(
% 3.07/0.90 ($false = ((x = sK19))) | (x != sK19) | (((a2 = sK19)) = $true) | ~spl0_3),
% 3.07/0.90 inference(not_proxy_clausification,[],[f7699])).
% 3.07/0.90 thf(f7711,definition,(
% 3.07/0.90 spl0_56 <=> (a2 = sK19)),
% 3.07/0.90 introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition])).
% 3.07/0.90 thf(f7713,plain,(
% 3.07/0.90 (a2 = sK19) | ~spl0_56),
% 3.07/0.90 inference(avatar_component_clause,[],[f7711])).
% 3.07/0.90 thf(f7715,definition,(
% 3.07/0.90 spl0_57 <=> (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $true)),
% 3.07/0.90 introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition])).
% 3.07/0.90 thf(f7717,plain,(
% 3.07/0.90 (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $true) | ~spl0_57),
% 3.07/0.90 inference(avatar_component_clause,[],[f7715])).
% 3.07/0.90 thf(f7718,plain,(
% 3.07/0.90 spl0_56 | spl0_57 | ~spl0_3),
% 3.07/0.90 inference(avatar_split_clause,[],[f7703,f1728,f7715,f7711])).
% 3.07/0.90 thf(f7720,definition,(
% 3.07/0.90 spl0_58 <=> (x = sK19)),
% 3.07/0.90 introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition])).
% 3.07/0.90 thf(f7722,plain,(
% 3.07/0.90 (x = sK19) | ~spl0_58),
% 3.07/0.90 inference(avatar_component_clause,[],[f7720])).
% 3.07/0.90 thf(f7724,definition,(
% 3.07/0.90 spl0_59 <=> (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $false)),
% 3.07/0.90 introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition])).
% 3.07/0.90 thf(f7726,plain,(
% 3.07/0.90 (((member2 @ a @ sK19 @ (set2 @ a @ xsa))) = $false) | ~spl0_59),
% 3.07/0.90 inference(avatar_component_clause,[],[f7724])).
% 3.07/0.90 thf(f7727,plain,(
% 3.07/0.90 spl0_58 | spl0_59 | ~spl0_3),
% 3.07/0.90 inference(avatar_split_clause,[],[f7704,f1728,f7724,f7720])).
% 3.07/0.90 thf(f7728,plain,(
% 3.07/0.90 ~spl0_56 | spl0_58 | ~spl0_3),
% 3.07/0.90 inference(avatar_split_clause,[],[f7706,f1728,f7720,f7711])).
% 3.07/0.90 thf(f7730,plain,(
% 3.07/0.90 (x != sK19) | (x != sK19) | (((a2 = sK19)) = $true) | ~spl0_3),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f7708])).
% 3.07/0.90 thf(f7731,plain,(
% 3.07/0.90 (x != sK19) | (((a2 = sK19)) = $true) | ~spl0_3),
% 3.07/0.90 inference(duplicate_literal_removal,[],[f7730])).
% 3.07/0.90 thf(f7733,plain,(
% 3.07/0.90 (x != sK19) | (a2 = sK19) | ~spl0_3),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f7731])).
% 3.07/0.90 thf(f7735,plain,(
% 3.07/0.90 ~spl0_58 | spl0_56 | ~spl0_3),
% 3.07/0.90 inference(avatar_split_clause,[],[f7733,f1728,f7711,f7720])).
% 3.07/0.90 thf(f7738,plain,(
% 3.07/0.90 (x = a2) | (~spl0_56 | ~spl0_58)),
% 3.07/0.90 inference(forward_demodulation,[],[f7722,f7713])).
% 3.07/0.90 thf(f7830,plain,(
% 3.07/0.90 ($false = $true) | (~spl0_57 | ~spl0_59)),
% 3.07/0.90 inference(superposition,[],[f7726,f7717])).
% 3.07/0.90 thf(f7834,plain,(
% 3.07/0.90 $false | (~spl0_57 | ~spl0_59)),
% 3.07/0.90 inference(trivial_inequality_removal,[],[f7830])).
% 3.07/0.90 thf(f7835,plain,(
% 3.07/0.90 ~spl0_57 | ~spl0_59),
% 3.07/0.90 inference(avatar_contradiction_clause,[],[f7834])).
% 3.07/0.90 thf(f7861,plain,(
% 3.07/0.90 spl0_2 | ~spl0_56 | ~spl0_58),
% 3.07/0.90 inference(avatar_split_clause,[],[f7738,f7720,f7711,f1716])).
% 3.07/0.90 thf(f8039,plain,(
% 3.07/0.90 ($false = $true) | (((ord_less @ a @ a2 @ x)) = $true) | (x = a2) | ~spl0_54),
% 3.07/0.90 inference(forward_demodulation,[],[f7621,f1222])).
% 3.07/0.90 thf(f8040,plain,(
% 3.07/0.90 (((ord_less @ a @ a2 @ x)) = $true) | (x = a2) | ~spl0_54),
% 3.07/0.90 inference(trivial_inequality_removal,[],[f8039])).
% 3.07/0.90 thf(f8128,plain,(
% 3.07/0.90 spl0_2 | spl0_6 | ~spl0_54),
% 3.07/0.90 inference(avatar_split_clause,[],[f8040,f7540,f1750,f1716])).
% 3.07/0.90 thf(f8219,plain,(
% 3.07/0.90 ((((^[Y0 : a]: ((member2 @ a @ Y0 @ (set2 @ a @ xsa)) = ((~ (a2 = Y0)) & ((a2 = Y0) | (member2 @ a @ Y0 @ (set2 @ a @ xsa)))))) @ sK2)) = $false) | ~spl0_1),
% 3.07/0.90 inference(sigma_proxy_clausification,[],[f1714])).
% 3.07/0.90 thf(f8222,plain,(
% 3.07/0.90 ($false = (((member2 @ a @ sK2 @ (set2 @ a @ xsa)) = ((~ (a2 = sK2)) & ((a2 = sK2) | (member2 @ a @ sK2 @ (set2 @ a @ xsa))))))) | ~spl0_1),
% 3.07/0.90 inference(beta-eta_normalization,[],[f8219])).
% 3.07/0.90 thf(f8223,plain,(
% 3.07/0.90 (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) != (((~ (a2 = sK2)) & ((a2 = sK2) | (member2 @ a @ sK2 @ (set2 @ a @ xsa)))))) | ~spl0_1),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f8222])).
% 3.07/0.90 thf(f8224,plain,(
% 3.07/0.90 ((((~ (a2 = sK2)) & ((a2 = sK2) | (member2 @ a @ sK2 @ (set2 @ a @ xsa))))) = $true) | (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $true) | ~spl0_1),
% 3.07/0.90 inference(xor_proxy_clausification,[],[f8223])).
% 3.07/0.90 thf(f8225,plain,(
% 3.07/0.90 (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $false) | ((((~ (a2 = sK2)) & ((a2 = sK2) | (member2 @ a @ sK2 @ (set2 @ a @ xsa))))) = $false) | ~spl0_1),
% 3.07/0.90 inference(xor_proxy_clausification,[],[f8223])).
% 3.07/0.90 thf(f8226,plain,(
% 3.07/0.90 (((~ (a2 = sK2))) = $false) | ((((a2 = sK2) | (member2 @ a @ sK2 @ (set2 @ a @ xsa)))) = $false) | (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $false) | ~spl0_1),
% 3.07/0.90 inference(and_proxy_clausification,[],[f8225])).
% 3.07/0.90 thf(f8227,plain,(
% 3.07/0.90 ((((a2 = sK2) | (member2 @ a @ sK2 @ (set2 @ a @ xsa)))) = $true) | (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $true) | ~spl0_1),
% 3.07/0.90 inference(and_proxy_clausification,[],[f8224])).
% 3.07/0.90 thf(f8228,plain,(
% 3.07/0.90 (((~ (a2 = sK2))) = $true) | (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $true) | ~spl0_1),
% 3.07/0.90 inference(and_proxy_clausification,[],[f8224])).
% 3.07/0.90 thf(f8229,plain,(
% 3.07/0.90 (((a2 = sK2)) = $true) | (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $false) | ((((a2 = sK2) | (member2 @ a @ sK2 @ (set2 @ a @ xsa)))) = $false) | ~spl0_1),
% 3.07/0.90 inference(not_proxy_clausification,[],[f8226])).
% 3.07/0.90 thf(f8230,plain,(
% 3.07/0.90 (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $true) | (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $true) | (((a2 = sK2)) = $true) | ~spl0_1),
% 3.07/0.90 inference(or_proxy_clausification,[],[f8227])).
% 3.07/0.90 thf(f8231,plain,(
% 3.07/0.90 (((a2 = sK2)) = $true) | (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $true) | ~spl0_1),
% 3.07/0.90 inference(duplicate_literal_removal,[],[f8230])).
% 3.07/0.90 thf(f8232,plain,(
% 3.07/0.90 (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $true) | (((a2 = sK2)) = $false) | ~spl0_1),
% 3.07/0.90 inference(not_proxy_clausification,[],[f8228])).
% 3.07/0.90 thf(f8233,plain,(
% 3.07/0.90 ((((a2 = sK2) | (member2 @ a @ sK2 @ (set2 @ a @ xsa)))) = $false) | (a2 = sK2) | (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $false) | ~spl0_1),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f8229])).
% 3.07/0.90 thf(f8234,plain,(
% 3.07/0.90 (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $true) | (a2 = sK2) | ~spl0_1),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f8231])).
% 3.07/0.90 thf(f8235,plain,(
% 3.07/0.90 (a2 != sK2) | (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $true) | ~spl0_1),
% 3.07/0.90 inference(equality_proxy_clausification,[],[f8232])).
% 3.07/0.90 thf(f8236,plain,(
% 3.07/0.90 (a2 = sK2) | (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $false) | (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $false) | ~spl0_1),
% 3.07/0.90 inference(or_proxy_clausification,[],[f8233])).
% 3.07/0.90 thf(f8238,plain,(
% 3.07/0.90 (a2 = sK2) | (((member2 @ a @ sK2 @ (set2 @ a @ xsa))) = $false) | ~spl0_1),
% 3.07/0.90 inference(duplicate_literal_removal,[],[f8236])).
% 3.07/0.90 thf(f8239,plain,(
% 3.07/0.90 spl0_11 | spl0_12 | ~spl0_1),
% 3.07/0.90 inference(avatar_split_clause,[],[f8234,f1712,f1867,f1863])).
% 3.07/0.90 thf(f8240,plain,(
% 3.07/0.90 spl0_12 | ~spl0_11 | ~spl0_1),
% 3.07/0.90 inference(avatar_split_clause,[],[f8235,f1712,f1863,f1867])).
% 3.07/0.90 thf(f8241,plain,(
% 3.07/0.90 spl0_13 | spl0_11 | ~spl0_1),
% 3.07/0.90 inference(avatar_split_clause,[],[f8238,f1712,f1863,f1874])).
% 3.07/0.90 thf(f8295,plain,(
% 3.07/0.90 ($false = $true) | (~spl0_12 | ~spl0_13)),
% 3.07/0.90 inference(superposition,[],[f1876,f1869])).
% 3.07/0.90 thf(f8299,plain,(
% 3.07/0.90 $false | (~spl0_12 | ~spl0_13)),
% 3.07/0.90 inference(trivial_inequality_removal,[],[f8295])).
% 3.07/0.90 thf(f8300,plain,(
% 3.07/0.90 ~spl0_12 | ~spl0_13),
% 3.07/0.90 inference(avatar_contradiction_clause,[],[f8299])).
% 3.07/0.90 thf(f8304,plain,(
% 3.07/0.90 (((member2 @ a @ a2 @ (set2 @ a @ xsa))) = $true) | (~spl0_11 | ~spl0_12)),
% 3.07/0.90 inference(superposition,[],[f1869,f1865])).
% 3.07/0.90 thf(f8305,plain,(
% 3.07/0.90 ($false = $true) | (~spl0_11 | ~spl0_12)),
% 3.07/0.90 inference(forward_demodulation,[],[f8304,f1694])).
% 3.07/0.90 thf(f8306,plain,(
% 3.07/0.90 $false | (~spl0_11 | ~spl0_12)),
% 3.07/0.90 inference(trivial_inequality_removal,[],[f8305])).
% 3.07/0.90 thf(f8307,plain,(
% 3.07/0.90 ~spl0_11 | ~spl0_12),
% 3.07/0.90 inference(avatar_contradiction_clause,[],[f8306])).
% 3.07/0.90 cnf(s1, plain, spl0_1 | ~spl0_2, inference(sat_conversion,[],[f1719])).
% 3.07/0.90 cnf(s2, plain, spl0_1 | spl0_3 | spl0_4, inference(sat_conversion,[],[f1735])).
% 3.07/0.90 cnf(s3, plain, spl0_1 | spl0_3 | spl0_5, inference(sat_conversion,[],[f1741])).
% 3.07/0.90 cnf(s203, plain, ~spl0_8 | ~spl0_9, inference(sat_conversion,[],[f6048])).
% 3.07/0.90 cnf(s205, plain, ~spl0_4 | ~spl0_6, inference(sat_conversion,[],[f6055])).
% 3.07/0.90 cnf(s465, plain, ~spl0_5 | spl0_9 | spl0_10, inference(sat_conversion,[],[f7334])).
% 3.07/0.90 cnf(s467, plain, ~spl0_5 | spl0_7 | spl0_8, inference(sat_conversion,[],[f7341])).
% 3.07/0.90 cnf(s478, plain, ~spl0_5 | spl0_7 | ~spl0_10, inference(sat_conversion,[],[f7363])).
% 3.07/0.90 cnf(s488, plain, spl0_2 | ~spl0_5 | ~spl0_7 | spl0_54, inference(sat_conversion,[],[f7603])).
% 3.07/0.90 cnf(s490, plain, ~spl0_3 | spl0_56 | spl0_57, inference(sat_conversion,[],[f7718])).
% 3.07/0.90 cnf(s491, plain, ~spl0_3 | spl0_58 | spl0_59, inference(sat_conversion,[],[f7727])).
% 3.07/0.90 cnf(s492, plain, ~spl0_3 | ~spl0_56 | spl0_58, inference(sat_conversion,[],[f7728])).
% 3.07/0.90 cnf(s495, plain, ~spl0_3 | spl0_56 | ~spl0_58, inference(sat_conversion,[],[f7735])).
% 3.07/0.90 cnf(s497, plain, ~spl0_57 | ~spl0_59, inference(sat_conversion,[],[f7835])).
% 3.07/0.90 cnf(s505, plain, spl0_2 | ~spl0_56 | ~spl0_58, inference(sat_conversion,[],[f7861])).
% 3.07/0.90 cnf(s537, plain, spl0_2 | spl0_6 | ~spl0_54, inference(sat_conversion,[],[f8128])).
% 3.07/0.90 cnf(s538, plain, ~spl0_1 | spl0_11 | spl0_12, inference(sat_conversion,[],[f8239])).
% 3.07/0.90 cnf(s539, plain, ~spl0_1 | ~spl0_11 | spl0_12, inference(sat_conversion,[],[f8240])).
% 3.07/0.90 cnf(s540, plain, ~spl0_1 | spl0_11 | spl0_13, inference(sat_conversion,[],[f8241])).
% 3.07/0.90 cnf(s541, plain, ~spl0_12 | ~spl0_13, inference(sat_conversion,[],[f8300])).
% 3.07/0.90 cnf(s543, plain, ~spl0_11 | ~spl0_12, inference(sat_conversion,[],[f8307])).
% 3.07/0.90 cnf(s546, plain, spl0_7 | ~spl0_5, inference(rat,[],[s203,s465,s467,s478])).
% 3.07/0.90 cnf(s547, plain, spl0_54 | ~spl0_5 | spl0_2, inference(rat,[],[s546,s488])).
% 3.07/0.90 cnf(s548, plain, spl0_3 | spl0_1, inference(rat,[],[s547,s537,s205,s2,s3,s1])).
% 3.07/0.90 cnf(s549, plain, spl0_56 | ~spl0_3, inference(rat,[],[s497,s491,s490,s495])).
% 3.07/0.90 cnf(s550, plain, spl0_1, inference(rat,[],[s492,s505,s549,s548,s1])).
% 3.07/0.90 cnf(s551, plain, spl0_11, inference(rat,[],[s541,s538,s540,s550])).
% 3.07/0.90 cnf(s552, plain, ~spl0_12, inference(rat,[],[s543,s551])).
% 3.07/0.90 cnf(s553, plain, $false, inference(rat,[],[s539,s550,s552,s551])).
% 3.07/0.90 thf(f8308,plain,(
% 3.07/0.90 $false),
% 3.07/0.90 inference(avatar_sat_refutation,[],[s553])).
% 3.07/0.90 % SZS output end Proof for theBenchmark
% 3.07/0.90 % (3522736)------------------------------
% 3.07/0.90 % (3522736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.90 % (3522736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.90 % (3522736)CaDiCaL version: 2.1.3
% 3.07/0.90 % (3522736)Termination reason: Refutation
% 3.07/0.90 % (3522736)Time elapsed: 0.300 s
% 3.07/0.90 % (3522736)Peak memory usage: 16 MB
% 3.07/0.90 % (3522736)Instructions burned: 656 (million)
% 3.07/0.90 % (3522669)Success in time 0.595 s
% 3.07/0.90 % Vampire exiting
%------------------------------------------------------------------------------