%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV254^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:38:08 AM UTC 2026
% Result : Theorem 1.45s 0.53s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV254^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n003.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 15:29:44 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.10/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.37 % (2640346)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.73/0.37 % (2640355)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3271584261:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.73/0.37 % (2640357)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.73/0.37 % (2640357)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
% 0.73/0.37 % (2640351)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3222847050:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.73/0.37 % (2640352)lrs+10_16_si=on:nwc=1.5:random_seed=678629414:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.73/0.37 % (2640353)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3272176045:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.73/0.37 % (2640356)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4111780069:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.73/0.37 % (2640354)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=4190671379: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)
% 0.73/0.37 % (2640357)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=2474787739:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.73/0.37 % (2640355)Instruction limit reached!
% 0.73/0.37 % (2640355)------------------------------
% 0.73/0.37 % (2640355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (2640355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (2640355)CaDiCaL version: 2.1.3
% 0.73/0.37 % (2640355)Termination reason: Instruction limit
% 0.73/0.37 % (2640355)Termination phase: Saturation
% 0.73/0.37 % (2640355)Time elapsed: 0.008 s
% 0.73/0.37 % (2640355)Peak memory usage: 12 MB
% 0.73/0.37 % (2640355)Instructions burned: 27 (million)
% 0.73/0.37 % (2640353)Instruction limit reached!
% 0.73/0.37 % (2640353)------------------------------
% 0.73/0.37 % (2640353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (2640353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (2640353)CaDiCaL version: 2.1.3
% 0.73/0.37 % (2640353)Termination reason: Instruction limit
% 0.73/0.37 % (2640353)Termination phase: Saturation
% 0.73/0.37 % (2640353)Time elapsed: 0.002 s
% 0.73/0.37 % (2640353)Peak memory usage: 11 MB
% 0.73/0.37 % (2640353)Instructions burned: 4 (million)
% 0.73/0.37 % (2640351)Refutation not found, incomplete strategy
% 0.73/0.37 % (2640351)------------------------------
% 0.73/0.37 % (2640351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (2640351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (2640351)CaDiCaL version: 2.1.3
% 0.73/0.37 % (2640351)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.37 % (2640351)Time elapsed: 0.009 s
% 0.73/0.37 % (2640351)Peak memory usage: 12 MB
% 0.73/0.37 % (2640351)Instructions burned: 15 (million)
% 0.73/0.37 % (2640351)------------------------------
% 0.73/0.37 % (2640351)------------------------------
% 0.73/0.37 % (2640352)Instruction limit reached!
% 0.73/0.37 % (2640352)------------------------------
% 0.73/0.37 % (2640352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (2640352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (2640352)CaDiCaL version: 2.1.3
% 0.73/0.37 % (2640352)Termination reason: Instruction limit
% 0.73/0.37 % (2640352)Termination phase: Saturation
% 0.73/0.37 % (2640352)Time elapsed: 0.011 s
% 0.73/0.37 % (2640352)Peak memory usage: 12 MB
% 0.73/0.37 % (2640352)Instructions burned: 18 (million)
% 0.73/0.37 % (2640365)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3513455656:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.37 % (2640365)Instruction limit reached!
% 0.73/0.37 % (2640365)------------------------------
% 0.73/0.41 % (2640365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2640365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2640365)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2640365)Termination reason: Instruction limit
% 0.73/0.41 % (2640365)Termination phase: Saturation
% 0.73/0.41 % (2640365)Time elapsed: 0.002 s
% 0.73/0.41 % (2640365)Peak memory usage: 12 MB
% 0.73/0.41 % (2640365)Instructions burned: 6 (million)
% 0.73/0.41 % (2640366)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1914193504:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.73/0.41 % (2640370)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
% 0.73/0.41 % (2640370)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.41 % (2640366)Instruction limit reached!
% 0.73/0.41 % (2640366)------------------------------
% 0.73/0.41 % (2640366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2640366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2640366)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2640366)Termination reason: Instruction limit
% 0.73/0.41 % (2640366)Termination phase: Saturation
% 0.73/0.41 % (2640366)Time elapsed: 0.003 s
% 0.73/0.41 % (2640366)Peak memory usage: 12 MB
% 0.73/0.41 % (2640366)Instructions burned: 6 (million)
% 0.73/0.41 % (2640367)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.41 % (2640370)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4112342878:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.73/0.41 % (2640367)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4006353117:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.73/0.41 % (2640354)Refutation not found, incomplete strategy
% 0.73/0.41 % (2640354)------------------------------
% 0.73/0.41 % (2640354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2640354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2640354)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2640354)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.41 % (2640354)Time elapsed: 0.032 s
% 0.73/0.41 % (2640354)Peak memory usage: 12 MB
% 0.73/0.41 % (2640354)Instructions burned: 56 (million)
% 0.73/0.41 % (2640354)------------------------------
% 0.73/0.41 % (2640354)------------------------------
% 0.73/0.41 % (2640367)Instruction limit reached!
% 0.73/0.41 % (2640367)------------------------------
% 0.73/0.41 % (2640367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2640367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2640367)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2640367)Termination reason: Instruction limit
% 0.73/0.41 % (2640367)Termination phase: Saturation
% 0.73/0.41 % (2640367)Time elapsed: 0.004 s
% 0.73/0.41 % (2640367)Peak memory usage: 12 MB
% 0.73/0.41 % (2640367)Instructions burned: 8 (million)
% 0.73/0.41 % (2640368)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1575366432:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.73/0.41 % (2640370)Instruction limit reached!
% 0.73/0.41 % (2640370)------------------------------
% 0.73/0.41 % (2640370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2640370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.41 % (2640370)CaDiCaL version: 2.1.3
% 0.73/0.41 % (2640370)Termination reason: Instruction limit
% 0.73/0.41 % (2640370)Termination phase: Saturation
% 0.73/0.41 % (2640370)Time elapsed: 0.008 s
% 0.73/0.41 % (2640370)Peak memory usage: 12 MB
% 0.73/0.41 % (2640370)Instructions burned: 33 (million)
% 0.73/0.41 % (2640356)Instruction limit reached!
% 0.73/0.41 % (2640356)------------------------------
% 0.73/0.41 % (2640356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.41 % (2640356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (2640356)CaDiCaL version: 2.1.3
% 0.73/0.44 % (2640356)Termination reason: Instruction limit
% 0.73/0.44 % (2640356)Termination phase: Saturation
% 0.73/0.44 % (2640356)Time elapsed: 0.042 s
% 0.73/0.44 % (2640356)Peak memory usage: 12 MB
% 0.73/0.44 % (2640356)Instructions burned: 75 (million)
% 0.73/0.44 % (2640372)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=1153649889:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.73/0.44 % (2640377)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3738974562:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.73/0.44 % (2640368)Instruction limit reached!
% 0.73/0.44 % (2640368)------------------------------
% 0.73/0.44 % (2640368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (2640368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (2640368)CaDiCaL version: 2.1.3
% 0.73/0.44 % (2640376)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.73/0.44 % (2640368)Termination reason: Instruction limit
% 0.73/0.44 % (2640368)Termination phase: Saturation
% 0.73/0.44 % (2640368)Time elapsed: 0.014 s
% 0.73/0.44 % (2640368)Peak memory usage: 12 MB
% 0.73/0.44 % (2640368)Instructions burned: 12 (million)
% 0.73/0.44 % (2640377)Refutation not found, incomplete strategy
% 0.73/0.44 % (2640377)------------------------------
% 0.73/0.44 % (2640377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (2640377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (2640377)CaDiCaL version: 2.1.3
% 0.73/0.44 % (2640377)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.44 % (2640377)Time elapsed: 0.004 s
% 0.73/0.44 % (2640377)Peak memory usage: 12 MB
% 0.73/0.44 % (2640377)Instructions burned: 12 (million)
% 0.73/0.44 % (2640377)------------------------------
% 0.73/0.44 % (2640377)------------------------------
% 0.73/0.44 % (2640375)lrs+10_1_si=on:cs=on:random_seed=1062840389:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.73/0.44 % (2640376)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=2327222187:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.44 % (2640376)Instruction limit reached!
% 0.73/0.44 % (2640376)------------------------------
% 0.73/0.44 % (2640376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (2640376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (2640376)CaDiCaL version: 2.1.3
% 0.73/0.44 % (2640376)Termination reason: Instruction limit
% 0.73/0.44 % (2640376)Termination phase: Saturation
% 0.73/0.44 % (2640376)Time elapsed: 0.003 s
% 0.73/0.44 % (2640376)Peak memory usage: 11 MB
% 0.73/0.44 % (2640376)Instructions burned: 4 (million)
% 0.73/0.44 % (2640375)Instruction limit reached!
% 0.73/0.44 % (2640375)------------------------------
% 0.73/0.44 % (2640375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (2640375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (2640375)CaDiCaL version: 2.1.3
% 0.73/0.44 % (2640375)Termination reason: Instruction limit
% 0.73/0.44 % (2640375)Termination phase: Saturation
% 0.73/0.44 % (2640375)Time elapsed: 0.005 s
% 0.73/0.44 % (2640375)Peak memory usage: 12 MB
% 0.73/0.44 % (2640375)Instructions burned: 9 (million)
% 0.73/0.44 % (2640382)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3244448678:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.73/0.44 % (2640380)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3427236462:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.73/0.44 % (2640382)Instruction limit reached!
% 0.73/0.44 % (2640382)------------------------------
% 0.73/0.44 % (2640382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.44 % (2640382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.44 % (2640382)CaDiCaL version: 2.1.3
% 0.73/0.44 % (2640382)Termination reason: Instruction limit
% 0.73/0.44 % (2640382)Termination phase: Saturation
% 0.73/0.47 % (2640382)Time elapsed: 0.007 s
% 0.73/0.47 % (2640382)Peak memory usage: 12 MB
% 0.73/0.47 % (2640382)Instructions burned: 25 (million)
% 0.73/0.47 % (2640386)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2639254670:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.73/0.47 % (2640387)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2051503290:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.73/0.47 % (2640383)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2935906517:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.73/0.47 % (2640390)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1767350836:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.73/0.47 % (2640390)Instruction limit reached!
% 0.73/0.47 % (2640390)------------------------------
% 0.73/0.47 % (2640390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.47 % (2640390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.47 % (2640390)CaDiCaL version: 2.1.3
% 0.73/0.47 % (2640390)Termination reason: Instruction limit
% 0.73/0.47 % (2640390)Termination phase: Property scanning
% 0.73/0.47 % (2640390)Time elapsed: 0.001 s
% 0.73/0.47 % (2640390)Peak memory usage: 11 MB
% 0.73/0.47 % (2640390)Instructions burned: 5 (million)
% 0.73/0.47 % (2640357)Instruction limit reached!
% 0.73/0.47 % (2640357)------------------------------
% 0.73/0.47 % (2640357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.47 % (2640357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.47 % (2640357)CaDiCaL version: 2.1.3
% 0.73/0.47 % (2640357)Termination reason: Instruction limit
% 0.73/0.47 % (2640357)Termination phase: Saturation
% 0.73/0.47 % (2640357)Time elapsed: 0.085 s
% 0.73/0.47 % (2640357)Peak memory usage: 13 MB
% 0.73/0.47 % (2640357)Instructions burned: 158 (million)
% 0.73/0.47 % (2640387)Instruction limit reached!
% 0.73/0.47 % (2640387)------------------------------
% 0.73/0.47 % (2640387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.47 % (2640387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.47 % (2640387)CaDiCaL version: 2.1.3
% 0.73/0.47 % (2640387)Termination reason: Instruction limit
% 0.73/0.47 % (2640387)Termination phase: Saturation
% 0.73/0.47 % (2640387)Time elapsed: 0.011 s
% 0.73/0.47 % (2640387)Peak memory usage: 12 MB
% 0.73/0.47 % (2640387)Instructions burned: 18 (million)
% 0.73/0.47 % (2640372)Instruction limit reached!
% 0.73/0.47 % (2640372)------------------------------
% 0.73/0.47 % (2640372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.47 % (2640372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.47 % (2640372)CaDiCaL version: 2.1.3
% 0.73/0.47 % (2640372)Termination reason: Instruction limit
% 0.73/0.47 % (2640372)Termination phase: Saturation
% 0.73/0.47 % (2640372)Time elapsed: 0.045 s
% 0.73/0.47 % (2640372)Peak memory usage: 12 MB
% 0.73/0.47 % (2640372)Instructions burned: 88 (million)
% 0.73/0.47 % (2640383)Instruction limit reached!
% 0.73/0.47 % (2640383)------------------------------
% 0.73/0.47 % (2640383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.47 % (2640383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.47 % (2640383)CaDiCaL version: 2.1.3
% 0.73/0.47 % (2640383)Termination reason: Instruction limit
% 0.73/0.47 % (2640383)Termination phase: Saturation
% 0.73/0.47 % (2640383)Time elapsed: 0.015 s
% 0.73/0.47 % (2640383)Peak memory usage: 12 MB
% 0.73/0.47 % (2640383)Instructions burned: 15 (million)
% 0.73/0.47 % (2640395)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4155330539:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.73/0.47 % (2640396)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1848444333:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.73/0.47 % (2640398)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.73/0.47 % (2640398)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.45/0.52 % (2640399)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.45/0.52 % (2640397)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1398112558:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.45/0.52 % (2640398)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=2428765171:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.45/0.52 % (2640399)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=3921245183:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.45/0.52 % (2640399)Instruction limit reached!
% 1.45/0.52 % (2640399)------------------------------
% 1.45/0.52 % (2640399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640399)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640399)Termination reason: Instruction limit
% 1.45/0.52 % (2640399)Termination phase: Saturation
% 1.45/0.52 % (2640399)Time elapsed: 0.003 s
% 1.45/0.52 % (2640399)Peak memory usage: 12 MB
% 1.45/0.52 % (2640399)Instructions burned: 9 (million)
% 1.45/0.52 % (2640395)Refutation not found, incomplete strategy
% 1.45/0.52 % (2640395)------------------------------
% 1.45/0.52 % (2640395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640395)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640395)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.52 % (2640395)Time elapsed: 0.012 s
% 1.45/0.52 % (2640395)Peak memory usage: 12 MB
% 1.45/0.52 % (2640395)Instructions burned: 22 (million)
% 1.45/0.52 % (2640395)------------------------------
% 1.45/0.52 % (2640395)------------------------------
% 1.45/0.52 % (2640396)Instruction limit reached!
% 1.45/0.52 % (2640396)------------------------------
% 1.45/0.52 % (2640396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640396)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640396)Termination reason: Instruction limit
% 1.45/0.52 % (2640396)Termination phase: Saturation
% 1.45/0.52 % (2640396)Time elapsed: 0.013 s
% 1.45/0.52 % (2640396)Peak memory usage: 11 MB
% 1.45/0.52 % (2640396)Instructions burned: 24 (million)
% 1.45/0.52 % (2640398)Instruction limit reached!
% 1.45/0.52 % (2640398)------------------------------
% 1.45/0.52 % (2640398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640398)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640398)Termination reason: Instruction limit
% 1.45/0.52 % (2640398)Termination phase: Saturation
% 1.45/0.52 % (2640398)Time elapsed: 0.009 s
% 1.45/0.52 % (2640398)Peak memory usage: 12 MB
% 1.45/0.52 % (2640398)Instructions burned: 15 (million)
% 1.45/0.52 % (2640405)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=3047945483:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.45/0.52 % (2640405)Refutation not found, incomplete strategy
% 1.45/0.52 % (2640405)------------------------------
% 1.45/0.52 % (2640405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640405)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640405)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.52 % (2640405)Time elapsed: 0.005 s
% 1.45/0.52 % (2640405)Peak memory usage: 12 MB
% 1.45/0.52 % (2640405)Instructions burned: 17 (million)
% 1.45/0.52 % (2640405)------------------------------
% 1.45/0.52 % (2640405)------------------------------
% 1.45/0.52 % (2640406)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1742364716:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.45/0.52 % (2640407)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3697456064:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.45/0.52 % (2640408)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4186091268:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.45/0.52 % (2640410)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4090056338:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.45/0.52 % (2640397)Instruction limit reached!
% 1.45/0.52 % (2640397)------------------------------
% 1.45/0.52 % (2640397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640397)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640397)Termination reason: Instruction limit
% 1.45/0.52 % (2640397)Termination phase: Saturation
% 1.45/0.52 % (2640397)Time elapsed: 0.032 s
% 1.45/0.52 % (2640397)Peak memory usage: 12 MB
% 1.45/0.52 % (2640397)Instructions burned: 61 (million)
% 1.45/0.52 % (2640406)Instruction limit reached!
% 1.45/0.52 % (2640406)------------------------------
% 1.45/0.52 % (2640406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640406)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640406)Termination reason: Instruction limit
% 1.45/0.52 % (2640406)Termination phase: Saturation
% 1.45/0.52 % (2640406)Time elapsed: 0.007 s
% 1.45/0.52 % (2640406)Peak memory usage: 12 MB
% 1.45/0.52 % (2640406)Instructions burned: 7 (million)
% 1.45/0.52 % (2640407)Instruction limit reached!
% 1.45/0.52 % (2640407)------------------------------
% 1.45/0.52 % (2640407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640380)Refutation not found, incomplete strategy
% 1.45/0.52 % (2640380)------------------------------
% 1.45/0.52 % (2640380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640380)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640380)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.52 % (2640380)Time elapsed: 0.082 s
% 1.45/0.52 % (2640407)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640380)Peak memory usage: 13 MB
% 1.45/0.52 % (2640407)Termination reason: Instruction limit
% 1.45/0.52 % (2640407)Termination phase: Saturation
% 1.45/0.52 % (2640407)Time elapsed: 0.009 s
% 1.45/0.52 % (2640380)Instructions burned: 166 (million)
% 1.45/0.52 % (2640407)Peak memory usage: 11 MB
% 1.45/0.52 % (2640407)Instructions burned: 23 (million)
% 1.45/0.52 % (2640380)------------------------------
% 1.45/0.52 % (2640380)------------------------------
% 1.45/0.52 % (2640408)Instruction limit reached!
% 1.45/0.52 % (2640408)------------------------------
% 1.45/0.52 % (2640408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640408)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640408)Termination reason: Instruction limit
% 1.45/0.52 % (2640408)Termination phase: Saturation
% 1.45/0.52 % (2640408)Time elapsed: 0.012 s
% 1.45/0.52 % (2640408)Peak memory usage: 12 MB
% 1.45/0.52 % (2640408)Instructions burned: 20 (million)
% 1.45/0.52 % (2640415)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3969921962:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.45/0.52 % (2640418)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.45/0.52 % (2640417)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1758021029:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.45/0.52 % (2640418)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2234550363:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.45/0.52 % (2640419)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3743904304:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.45/0.52 % (2640418)Instruction limit reached!
% 1.45/0.52 % (2640418)------------------------------
% 1.45/0.52 % (2640418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640418)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640418)Termination reason: Instruction limit
% 1.45/0.52 % (2640418)Termination phase: Saturation
% 1.45/0.52 % (2640418)Time elapsed: 0.004 s
% 1.45/0.52 % (2640418)Peak memory usage: 12 MB
% 1.45/0.52 % (2640418)Instructions burned: 7 (million)
% 1.45/0.52 % (2640416)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=918918368:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.45/0.52 % (2640417)Instruction limit reached!
% 1.45/0.52 % (2640417)------------------------------
% 1.45/0.52 % (2640417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640417)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640417)Termination reason: Instruction limit
% 1.45/0.52 % (2640417)Termination phase: Saturation
% 1.45/0.52 % (2640417)Time elapsed: 0.023 s
% 1.45/0.52 % (2640417)Peak memory usage: 12 MB
% 1.45/0.52 % (2640417)Instructions burned: 43 (million)
% 1.45/0.52 % (2640424)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=2426136896:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.45/0.52 % (2640424)Refutation not found, incomplete strategy
% 1.45/0.52 % (2640424)------------------------------
% 1.45/0.52 % (2640424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.52 % (2640424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.52 % (2640424)CaDiCaL version: 2.1.3
% 1.45/0.52 % (2640424)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.52 % (2640424)Time elapsed: 0.005 s
% 1.45/0.52 % (2640424)Peak memory usage: 12 MB
% 1.45/0.52 % (2640424)Instructions burned: 9 (million)
% 1.45/0.52 % (2640424)------------------------------
% 1.45/0.52 % (2640424)------------------------------
% 1.45/0.52 % (2640426)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.45/0.53 % (2640410)Refutation not found, incomplete strategy
% 1.45/0.53 % (2640410)------------------------------
% 1.45/0.53 % (2640410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.53 % (2640410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.53 % (2640410)CaDiCaL version: 2.1.3
% 1.45/0.53 % (2640410)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.53 % (2640410)Time elapsed: 0.068 s
% 1.45/0.53 % (2640410)Peak memory usage: 13 MB
% 1.45/0.53 % (2640410)Instructions burned: 267 (million)
% 1.45/0.53 % (2640410)------------------------------
% 1.45/0.53 % (2640410)------------------------------
% 1.45/0.53 % (2640426)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1826692856:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.45/0.53 % (2640426)Instruction limit reached!
% 1.45/0.53 % (2640426)------------------------------
% 1.45/0.53 % (2640426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.53 % (2640426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.53 % (2640426)CaDiCaL version: 2.1.3
% 1.45/0.53 % (2640426)Termination reason: Instruction limit
% 1.45/0.53 % (2640426)Termination phase: Saturation
% 1.45/0.53 % (2640426)Time elapsed: 0.004 s
% 1.45/0.53 % (2640426)Peak memory usage: 12 MB
% 1.45/0.53 % (2640426)Instructions burned: 7 (million)
% 1.45/0.53 % (2640386) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2640346-2640386"...
% 1.45/0.53 % (2640428)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2456820795:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.45/0.53 % (2640430)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2901157050:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.45/0.53 % (2640386)...printing done.
% 1.45/0.53 % (2640386)Refutation found. Thanks to Tanya!
% 1.45/0.53 % SZS status Theorem for theBenchmark
% 1.45/0.53 % SZS output start Proof for theBenchmark
% 1.45/0.53 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 1.45/0.53 thf(func_def_3, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.45/0.53 thf(func_def_4, type, vAND: ($o > $o > $o)).
% 1.45/0.53 thf(func_def_5, type, db0: !>[X0: $tType]:(X0)).
% 1.45/0.53 thf(func_def_6, type, db1: !>[X0: $tType]:(X0)).
% 1.45/0.53 thf(func_def_7, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.45/0.53 thf(func_def_8, type, vIMP: ($o > $o > $o)).
% 1.45/0.53 thf(func_def_9, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.45/0.53 thf(func_def_10, type, sK0: (($i > $o) > $i > $o)).
% 1.45/0.53 thf(func_def_12, type, sK2: (($i > $o) > $i)).
% 1.45/0.53 thf(func_def_13, type, sK3: ($i > $o)).
% 1.45/0.53 thf(func_def_14, type, sK4: (($i > $o) > $i)).
% 1.45/0.53 thf(func_def_15, type, sK5: (($i > $o) > $i)).
% 1.45/0.53 thf(func_def_17, type, sK7: ($i > $o)).
% 1.45/0.53 thf(func_def_18, type, vNOT: ($o > $o)).
% 1.45/0.53 thf(func_def_20, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.45/0.53 thf(func_def_21, type, sK9: (($i > $o) > $i)).
% 1.45/0.53 thf(func_def_22, type, sK10: ($i > $o)).
% 1.45/0.53 thf(func_def_23, type, sK11: ($i > $o)).
% 1.45/0.53 thf(func_def_24, type, sK12: (($i > $o) > $i)).
% 1.45/0.53 thf(func_def_25, type, sK13: ($i > $o)).
% 1.45/0.53 thf(func_def_26, type, sK14: ($i > $o)).
% 1.45/0.53 thf(func_def_27, type, sK15: ($i > $o)).
% 1.45/0.53 thf(func_def_28, type, sK16: ($i > $o)).
% 1.45/0.53 thf(func_def_29, type, sK17: ($i > $o)).
% 1.45/0.53 thf(func_def_30, type, sK18: ($i > $o)).
% 1.45/0.53 thf(func_def_31, type, sK19: ($i > $o)).
% 1.45/0.53 thf(func_def_32, type, sK20: ($i > $o)).
% 1.45/0.53 thf(func_def_33, type, sK21: ($i > $o)).
% 1.45/0.53 thf(func_def_34, type, sK22: ($i > $o)).
% 1.45/0.53 thf(func_def_35, type, sK23: ($i > $o)).
% 1.45/0.53 thf(func_def_36, type, sK24: ($i > $o)).
% 1.45/0.53 thf(func_def_37, type, sK25: ($i > $o)).
% 1.45/0.53 thf(func_def_38, type, sK26: ($i > $o)).
% 1.45/0.53 thf(func_def_39, type, sK27: ($i > $o)).
% 1.45/0.53 thf(func_def_40, type, sK28: ($i > $o)).
% 1.45/0.53 thf(func_def_41, type, sK29: ($i > $o)).
% 1.45/0.53 thf(func_def_42, type, sK30: (($i > $o) > $i)).
% 1.45/0.53 thf(func_def_43, type, sK31: ($i > $o)).
% 1.45/0.53 thf(func_def_44, type, sK32: ($i > $o)).
% 1.45/0.53 thf(func_def_45, type, sK33: (($i > $o) > $i)).
% 1.45/0.53 thf(func_def_46, type, sK34: ($i > $o)).
% 1.45/0.53 thf(func_def_47, type, sK35: ($i > $o)).
% 1.45/0.53 thf(func_def_48, type, sK36: ($i > $o)).
% 1.45/0.53 thf(func_def_49, type, sK37: ($i > $o)).
% 1.45/0.53 thf(func_def_50, type, sK38: ($i > $o)).
% 1.45/0.53 thf(f1,conjecture,(
% 1.45/0.53 ! [X0 : (($i > $o) > $i > $o)] : (((! [X1 : $i] : (? [X3 : ($i > $o)] : ((X3 @ X1) & ! [X2 : $i] : ((X3 @ X2) => (X0 @ X3 @ X2))) => (X0 @ (^[X2 : $i] : (? [X3 : ($i > $o)] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)) => ! [X1 : $i] : ((X0 @ (^[X2 : $i] : (? [X3 : ($i > $o)] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1) => (X0 @ (X0 @ (^[X2 : $i] : (? [X3 : ($i > $o)] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))))) @ X1))) & ! [X1 : ($i > $o)] : (! [X2 : $i] : ((X1 @ X2) => ? [X3 : ($i > $o)] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X2 : $i] : ((X0 @ X1 @ X2) => (X0 @ (^[X4 : $i] : (? [X3 : ($i > $o)] : (! [X5 : $i] : ((X3 @ X5) => (X0 @ X3 @ X5)) & (X3 @ X4)))) @ X2)))) => ! [X1 : $i] : (? [X3 : ($i > $o)] : (! [X2 : $i] : ((X3 @ X2) => (X0 @ X3 @ X2)) & (X3 @ X1)) <=> (X0 @ (^[X2 : $i] : (? [X3 : ($i > $o)] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)))),
% 1.45/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM2C_pme)).
% 1.45/0.53 thf(f2,negated_conjecture,(
% 1.45/0.53 ~ ! [X0 : (($i > $o) > $i > $o)] : (((! [X1 : $i] : (? [X3 : ($i > $o)] : ((X3 @ X1) & ! [X2 : $i] : ((X3 @ X2) => (X0 @ X3 @ X2))) => (X0 @ (^[X2 : $i] : (? [X3 : ($i > $o)] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)) => ! [X1 : $i] : ((X0 @ (^[X2 : $i] : (? [X3 : ($i > $o)] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1) => (X0 @ (X0 @ (^[X2 : $i] : (? [X3 : ($i > $o)] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))))) @ X1))) & ! [X1 : ($i > $o)] : (! [X2 : $i] : ((X1 @ X2) => ? [X3 : ($i > $o)] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X2 : $i] : ((X0 @ X1 @ X2) => (X0 @ (^[X4 : $i] : (? [X3 : ($i > $o)] : (! [X5 : $i] : ((X3 @ X5) => (X0 @ X3 @ X5)) & (X3 @ X4)))) @ X2)))) => ! [X1 : $i] : (? [X3 : ($i > $o)] : (! [X2 : $i] : ((X3 @ X2) => (X0 @ X3 @ X2)) & (X3 @ X1)) <=> (X0 @ (^[X2 : $i] : (? [X3 : ($i > $o)] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)))),
% 1.45/0.53 inference(negated_conjecture,[status(cth)],[f1])).
% 1.45/0.53 thf(f3,plain,(
% 1.45/0.53 ~ ! [X0 : (($i > $o) > $i > $o)] : (((! [X1 : $i] : (? [X2 : ($i > $o)] : ((X2 @ X1) & ! [X3 : $i] : ((X2 @ X3) => (X0 @ X2 @ X3))) => (X0 @ (^[X4 : $i] : (? [X5 : ($i > $o)] : (! [X6 : $i] : ((X5 @ X6) => (X0 @ X5 @ X6)) & (X5 @ X4)))) @ X1)) => ! [X7 : $i] : ((X0 @ (^[X8 : $i] : (? [X9 : ($i > $o)] : (! [X10 : $i] : ((X9 @ X10) => (X0 @ X9 @ X10)) & (X9 @ X8)))) @ X7) => (X0 @ (X0 @ (^[X11 : $i] : (? [X12 : ($i > $o)] : (! [X13 : $i] : ((X12 @ X13) => (X0 @ X12 @ X13)) & (X12 @ X11))))) @ X7))) & ! [X14 : ($i > $o)] : (! [X15 : $i] : ((X14 @ X15) => ? [X16 : ($i > $o)] : (! [X17 : $i] : ((X16 @ X17) => (X0 @ X16 @ X17)) & (X16 @ X15))) => ! [X18 : $i] : ((X0 @ X14 @ X18) => (X0 @ (^[X19 : $i] : (? [X20 : ($i > $o)] : (! [X21 : $i] : ((X20 @ X21) => (X0 @ X20 @ X21)) & (X20 @ X19)))) @ X18)))) => ! [X22 : $i] : (? [X23 : ($i > $o)] : (! [X24 : $i] : ((X23 @ X24) => (X0 @ X23 @ X24)) & (X23 @ X22)) <=> (X0 @ (^[X25 : $i] : (? [X26 : ($i > $o)] : (! [X27 : $i] : ((X26 @ X27) => (X0 @ X26 @ X27)) & (X26 @ X25)))) @ X22)))),
% 1.45/0.53 inference(rectify,[],[f2])).
% 1.45/0.53 thf(f4,plain,(
% 1.45/0.53 ~ ! [X0 : (($i > $o) > $i > $o)] : (((! [X1 : $i] : (? [X2 : ($i > $o)] : (! [X3 : $i] : ((((X2 @ X3)) = $true) => ($true = ((X0 @ X2 @ X3)))) & ($true = ((X2 @ X1)))) => ($true = ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X1)))) => ! [X7 : $i] : (($true = ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X7))) => (((X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X7)) = $true))) & ! [X14 : ($i > $o)] : (! [X15 : $i] : ((((X14 @ X15)) = $true) => ? [X16 : ($i > $o)] : (! [X17 : $i] : ((((X16 @ X17)) = $true) => (((X0 @ X16 @ X17)) = $true)) & ($true = ((X16 @ X15))))) => ! [X18 : $i] : (($true = ((X0 @ X14 @ X18))) => (((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X18)) = $true)))) => ! [X22 : $i] : (? [X23 : ($i > $o)] : (! [X24 : $i] : ((((X23 @ X24)) = $true) => ($true = ((X0 @ X23 @ X24)))) & (((X23 @ X22)) = $true)) <=> (((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X22)) = $true)))),
% 1.45/0.53 inference(fool_elimination,[],[f3])).
% 1.45/0.53 thf(f5,plain,(
% 1.45/0.53 ~ ! [X0 : (($i > $o) > $i > $o)] : ((! [X5 : ($i > $o)] : (! [X6 : $i] : (($true = ((X5 @ X6))) => ? [X7 : ($i > $o)] : (! [X8 : $i] : ((((X7 @ X8)) = $true) => (((X0 @ X7 @ X8)) = $true)) & (((X7 @ X6)) = $true))) => ! [X9 : $i] : (($true = ((X0 @ X5 @ X9))) => (((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9)) = $true))) & (! [X1 : $i] : (? [X2 : ($i > $o)] : (! [X3 : $i] : ((((X2 @ X3)) = $true) => ($true = ((X0 @ X2 @ X3)))) & ($true = ((X2 @ X1)))) => ($true = ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X1)))) => ! [X4 : $i] : (($true = ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X4))) => ($true = ((X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X4)))))) => ! [X10 : $i] : (? [X11 : ($i > $o)] : (! [X12 : $i] : ((((X11 @ X12)) = $true) => ($true = ((X0 @ X11 @ X12)))) & ($true = ((X11 @ X10)))) <=> ($true = ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10)))))),
% 1.45/0.53 inference(rectify,[],[f4])).
% 1.45/0.53 thf(f6,plain,(
% 1.45/0.53 ? [X0 : (($i > $o) > $i > $o)] : (? [X10 : $i] : (($true = ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10))) <~> ? [X11 : ($i > $o)] : (! [X12 : $i] : (($true = ((X0 @ X11 @ X12))) | (((X11 @ X12)) != $true)) & ($true = ((X11 @ X10))))) & (! [X5 : ($i > $o)] : (! [X9 : $i] : ((((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9)) = $true) | ($true != ((X0 @ X5 @ X9)))) | ? [X6 : $i] : (($true = ((X5 @ X6))) & ! [X7 : ($i > $o)] : ((((X7 @ X6)) != $true) | ? [X8 : $i] : ((((X7 @ X8)) = $true) & (((X0 @ X7 @ X8)) != $true))))) & (! [X4 : $i] : (($true = ((X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X4))) | ($true != ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X4)))) | ? [X1 : $i] : (($true != ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X1))) & ? [X2 : ($i > $o)] : (($true = ((X2 @ X1))) & ! [X3 : $i] : (($true = ((X0 @ X2 @ X3))) | (((X2 @ X3)) != $true)))))))),
% 1.45/0.53 inference(ennf_transformation,[],[f5])).
% 1.45/0.53 thf(f7,plain,(
% 1.45/0.53 ? [X0 : (($i > $o) > $i > $o)] : (? [X10 : $i] : (($true = ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10))) <~> ? [X11 : ($i > $o)] : (! [X12 : $i] : (($true = ((X0 @ X11 @ X12))) | (((X11 @ X12)) != $true)) & ($true = ((X11 @ X10))))) & ! [X5 : ($i > $o)] : (! [X9 : $i] : ((((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9)) = $true) | ($true != ((X0 @ X5 @ X9)))) | ? [X6 : $i] : (($true = ((X5 @ X6))) & ! [X7 : ($i > $o)] : ((((X7 @ X6)) != $true) | ? [X8 : $i] : ((((X7 @ X8)) = $true) & (((X0 @ X7 @ X8)) != $true))))) & (! [X4 : $i] : (($true = ((X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X4))) | ($true != ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X4)))) | ? [X1 : $i] : (($true != ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X1))) & ? [X2 : ($i > $o)] : (($true = ((X2 @ X1))) & ! [X3 : $i] : (($true = ((X0 @ X2 @ X3))) | (((X2 @ X3)) != $true))))))),
% 1.45/0.53 inference(flattening,[],[f6])).
% 1.45/0.53 thf(f8,plain,(
% 1.45/0.53 ? [X0 : (($i > $o) > $i > $o)] : (? [X10 : $i] : ((! [X11 : ($i > $o)] : (? [X12 : $i] : (($true != ((X0 @ X11 @ X12))) & (((X11 @ X12)) = $true)) | ($true != ((X11 @ X10)))) | ($true != ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10)))) & (? [X11 : ($i > $o)] : (! [X12 : $i] : (($true = ((X0 @ X11 @ X12))) | (((X11 @ X12)) != $true)) & ($true = ((X11 @ X10)))) | ($true = ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10))))) & ! [X5 : ($i > $o)] : (! [X9 : $i] : ((((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9)) = $true) | ($true != ((X0 @ X5 @ X9)))) | ? [X6 : $i] : (($true = ((X5 @ X6))) & ! [X7 : ($i > $o)] : ((((X7 @ X6)) != $true) | ? [X8 : $i] : ((((X7 @ X8)) = $true) & (((X0 @ X7 @ X8)) != $true))))) & (! [X4 : $i] : (($true = ((X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X4))) | ($true != ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X4)))) | ? [X1 : $i] : (($true != ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X1))) & ? [X2 : ($i > $o)] : (($true = ((X2 @ X1))) & ! [X3 : $i] : (($true = ((X0 @ X2 @ X3))) | (((X2 @ X3)) != $true))))))),
% 1.45/0.53 inference(nnf_transformation,[],[f7])).
% 1.45/0.53 thf(f9,plain,(
% 1.45/0.53 ? [X0 : (($i > $o) > $i > $o)] : (? [X1 : $i] : ((! [X2 : ($i > $o)] : (? [X3 : $i] : (($true != ((X0 @ X2 @ X3))) & (((X2 @ X3)) = $true)) | ($true != ((X2 @ X1)))) | ($true != ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X1)))) & (? [X4 : ($i > $o)] : (! [X5 : $i] : ((((X0 @ X4 @ X5)) = $true) | (((X4 @ X5)) != $true)) & ($true = ((X4 @ X1)))) | ($true = ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X1))))) & ! [X6 : ($i > $o)] : (! [X7 : $i] : (($true = ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X7))) | (((X0 @ X6 @ X7)) != $true)) | ? [X8 : $i] : ((((X6 @ X8)) = $true) & ! [X9 : ($i > $o)] : ((((X9 @ X8)) != $true) | ? [X10 : $i] : (($true = ((X9 @ X10))) & ($true != ((X0 @ X9 @ X10))))))) & (! [X11 : $i] : (($true = ((X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X11))) | ($true != ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X11)))) | ? [X12 : $i] : (($true != ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X12))) & ? [X13 : ($i > $o)] : ((((X13 @ X12)) = $true) & ! [X14 : $i] : (($true = ((X0 @ X13 @ X14))) | ($true != ((X13 @ X14))))))))),
% 1.45/0.53 inference(rectify,[],[f8])).
% 1.45/0.53 thf(f10,plain,(
% 1.45/0.53 ((! [X2 : ($i > $o)] : ((($true != ((sK0 @ X2 @ (sK2 @ X2)))) & ($true = ((X2 @ (sK2 @ X2))))) | ($true != ((X2 @ sK1)))) | ($true != ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)))) & ((! [X5 : $i] : ((((sK0 @ sK3 @ X5)) = $true) | ($true != ((sK3 @ X5)))) & (((sK3 @ sK1)) = $true)) | ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))))) & ! [X6 : ($i > $o)] : (! [X7 : $i] : ((((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X7)) = $true) | ($true != ((sK0 @ X6 @ X7)))) | ((((X6 @ (sK4 @ X6))) = $true) & ! [X9 : ($i > $o)] : ((((X9 @ (sK4 @ X6))) != $true) | ((((X9 @ (sK5 @ X9))) = $true) & (((sK0 @ X9 @ (sK5 @ X9))) != $true))))) & (! [X11 : $i] : (($true = ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X11))) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X11)) != $true)) | ((((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK6)) != $true) & (($true = ((sK7 @ sK6))) & ! [X14 : $i] : (($true = ((sK0 @ sK7 @ X14))) | ($true != ((sK7 @ X14)))))))),
% 1.45/0.53 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,vAPP,sK3,vAPP,vAPP,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X10,sK5 @ X9),skolemize(X4,sK3),skolemize(X10,sK5 @ X9),skolemize(X10,sK5 @ X9),skolemize(X12,sK6),skolemize(X13,sK7)],[f9])).
% 1.45/0.53 thf(f11,plain,(
% 1.45/0.53 ( ! [X11 : $i,X14 : $i] : (($true = ((sK0 @ sK7 @ X14))) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X11)) != $true) | ($true != ((sK7 @ X14))) | ($true = ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X11)))) )),
% 1.45/0.53 inference(cnf_transformation,[],[f10])).
% 1.45/0.53 thf(f12,plain,(
% 1.45/0.53 ( ! [X11 : $i] : (($true = ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X11))) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X11)) != $true) | ($true = ((sK7 @ sK6)))) )),
% 1.45/0.53 inference(cnf_transformation,[],[f10])).
% 1.45/0.53 thf(f13,plain,(
% 1.45/0.53 ( ! [X11 : $i] : ((((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK6)) != $true) | ($true = ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X11))) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X11)) != $true)) )),
% 1.45/0.53 inference(cnf_transformation,[],[f10])).
% 1.45/0.53 thf(f14,plain,(
% 1.45/0.53 ( ! [X6 : ($i > $o),X9 : ($i > $o),X7 : $i] : ((((sK0 @ X9 @ (sK5 @ X9))) != $true) | (((X9 @ (sK4 @ X6))) != $true) | ($true != ((sK0 @ X6 @ X7))) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X7)) = $true)) )),
% 1.45/0.53 inference(cnf_transformation,[],[f10])).
% 1.45/0.53 thf(f15,plain,(
% 1.45/0.53 ( ! [X6 : ($i > $o),X9 : ($i > $o),X7 : $i] : (($true != ((sK0 @ X6 @ X7))) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X7)) = $true) | (((X9 @ (sK4 @ X6))) != $true) | (((X9 @ (sK5 @ X9))) = $true)) )),
% 1.45/0.53 inference(cnf_transformation,[],[f10])).
% 1.45/0.53 thf(f16,plain,(
% 1.45/0.53 ( ! [X6 : ($i > $o),X7 : $i] : (($true != ((sK0 @ X6 @ X7))) | (((X6 @ (sK4 @ X6))) = $true) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X7)) = $true)) )),
% 1.45/0.53 inference(cnf_transformation,[],[f10])).
% 1.45/0.53 thf(f17,plain,(
% 1.45/0.53 ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | (((sK3 @ sK1)) = $true)),
% 1.45/0.53 inference(cnf_transformation,[],[f10])).
% 1.45/0.53 thf(f18,plain,(
% 1.45/0.53 ( ! [X5 : $i] : (($true != ((sK3 @ X5))) | (((sK0 @ sK3 @ X5)) = $true) | ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)))) )),
% 1.45/0.53 inference(cnf_transformation,[],[f10])).
% 1.45/0.53 thf(f19,plain,(
% 1.45/0.53 ( ! [X2 : ($i > $o)] : (($true = ((X2 @ (sK2 @ X2)))) | ($true != ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | ($true != ((X2 @ sK1)))) )),
% 1.45/0.53 inference(cnf_transformation,[],[f10])).
% 1.45/0.53 thf(f20,plain,(
% 1.45/0.53 ( ! [X2 : ($i > $o)] : (($true != ((X2 @ sK1))) | ($true != ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | ($true != ((sK0 @ X2 @ (sK2 @ X2))))) )),
% 1.45/0.53 inference(cnf_transformation,[],[f10])).
% 1.45/0.53 thf(f22,definition,(
% 1.45/0.53 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 1.45/0.53 introduced(theory,[fool_exhaustiveness_axiom])).
% 1.45/0.53 thf(f24,definition,(
% 1.45/0.53 spl8_1 <=> ! [X2 : ($i > $o)] : (($true != ((X2 @ sK1))) | ($true != ((sK0 @ X2 @ (sK2 @ X2)))))),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition])).
% 1.45/0.53 thf(f25,plain,(
% 1.45/0.53 ( ! [X2 : ($i > $o)] : (($true != ((sK0 @ X2 @ (sK2 @ X2)))) | ($true != ((X2 @ sK1)))) ) | ~spl8_1),
% 1.45/0.53 inference(avatar_component_clause,[],[f24])).
% 1.45/0.53 thf(f27,definition,(
% 1.45/0.53 spl8_2 <=> ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)))),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition])).
% 1.45/0.53 thf(f28,plain,(
% 1.45/0.53 ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | ~spl8_2),
% 1.45/0.53 inference(avatar_component_clause,[],[f27])).
% 1.45/0.53 thf(f29,plain,(
% 1.45/0.53 ($true != ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | spl8_2),
% 1.45/0.53 inference(avatar_component_clause,[],[f27])).
% 1.45/0.53 thf(f30,plain,(
% 1.45/0.53 spl8_1 | ~spl8_2),
% 1.45/0.53 inference(avatar_split_clause,[],[f20,f27,f24])).
% 1.45/0.53 thf(f32,definition,(
% 1.45/0.53 spl8_3 <=> ! [X11 : $i] : (($true = ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X11))) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X11)) != $true))),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition])).
% 1.45/0.53 thf(f33,plain,(
% 1.45/0.53 ( ! [X11 : $i] : ((((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X11)) != $true) | ($true = ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X11)))) ) | ~spl8_3),
% 1.45/0.53 inference(avatar_component_clause,[],[f32])).
% 1.45/0.53 thf(f35,definition,(
% 1.45/0.53 spl8_4 <=> (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK6)) = $true)),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition])).
% 1.45/0.53 thf(f37,plain,(
% 1.45/0.53 (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK6)) != $true) | spl8_4),
% 1.45/0.53 inference(avatar_component_clause,[],[f35])).
% 1.45/0.53 thf(f38,plain,(
% 1.45/0.53 spl8_3 | ~spl8_4),
% 1.45/0.53 inference(avatar_split_clause,[],[f13,f35,f32])).
% 1.45/0.53 thf(f40,definition,(
% 1.45/0.53 spl8_5 <=> (((sK3 @ sK1)) = $true)),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition])).
% 1.45/0.53 thf(f42,plain,(
% 1.45/0.53 (((sK3 @ sK1)) = $true) | ~spl8_5),
% 1.45/0.53 inference(avatar_component_clause,[],[f40])).
% 1.45/0.53 thf(f43,plain,(
% 1.45/0.53 spl8_5 | spl8_2),
% 1.45/0.53 inference(avatar_split_clause,[],[f17,f27,f40])).
% 1.45/0.53 thf(f45,definition,(
% 1.45/0.53 spl8_6 <=> ! [X14 : $i] : (($true = ((sK0 @ sK7 @ X14))) | ($true != ((sK7 @ X14))))),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition])).
% 1.45/0.53 thf(f46,plain,(
% 1.45/0.53 ( ! [X14 : $i] : (($true != ((sK7 @ X14))) | ($true = ((sK0 @ sK7 @ X14)))) ) | ~spl8_6),
% 1.45/0.53 inference(avatar_component_clause,[],[f45])).
% 1.45/0.53 thf(f47,plain,(
% 1.45/0.53 spl8_3 | spl8_6),
% 1.45/0.53 inference(avatar_split_clause,[],[f11,f45,f32])).
% 1.45/0.53 thf(f49,definition,(
% 1.45/0.53 spl8_7 <=> ($true = ((sK7 @ sK6)))),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition])).
% 1.45/0.53 thf(f51,plain,(
% 1.45/0.53 ($true = ((sK7 @ sK6))) | ~spl8_7),
% 1.45/0.53 inference(avatar_component_clause,[],[f49])).
% 1.45/0.53 thf(f52,plain,(
% 1.45/0.53 spl8_7 | spl8_3),
% 1.45/0.53 inference(avatar_split_clause,[],[f12,f32,f49])).
% 1.45/0.53 thf(f54,definition,(
% 1.45/0.53 spl8_8 <=> ! [X5 : $i] : (($true != ((sK3 @ X5))) | (((sK0 @ sK3 @ X5)) = $true))),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition])).
% 1.45/0.53 thf(f55,plain,(
% 1.45/0.53 ( ! [X5 : $i] : (($true != ((sK3 @ X5))) | (((sK0 @ sK3 @ X5)) = $true)) ) | ~spl8_8),
% 1.45/0.53 inference(avatar_component_clause,[],[f54])).
% 1.45/0.53 thf(f56,plain,(
% 1.45/0.53 spl8_2 | spl8_8),
% 1.45/0.53 inference(avatar_split_clause,[],[f18,f54,f27])).
% 1.45/0.53 thf(f58,definition,(
% 1.45/0.53 spl8_9 <=> ! [X2 : ($i > $o)] : (($true = ((X2 @ (sK2 @ X2)))) | ($true != ((X2 @ sK1))))),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition])).
% 1.45/0.53 thf(f59,plain,(
% 1.45/0.53 ( ! [X2 : ($i > $o)] : (($true != ((X2 @ sK1))) | ($true = ((X2 @ (sK2 @ X2))))) ) | ~spl8_9),
% 1.45/0.53 inference(avatar_component_clause,[],[f58])).
% 1.45/0.53 thf(f60,plain,(
% 1.45/0.53 ~spl8_2 | spl8_9),
% 1.45/0.53 inference(avatar_split_clause,[],[f19,f58,f27])).
% 1.45/0.53 thf(f61,plain,(
% 1.45/0.53 ($true = ((sK0 @ sK3 @ sK1))) | ($true != $true) | (~spl8_5 | ~spl8_8)),
% 1.45/0.53 inference(superposition,[],[f55,f42])).
% 1.45/0.53 thf(f62,plain,(
% 1.45/0.53 ($true = ((sK0 @ sK3 @ sK1))) | (~spl8_5 | ~spl8_8)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f61])).
% 1.45/0.53 thf(f63,plain,(
% 1.45/0.53 ($true = ((sK3 @ (sK4 @ sK3)))) | ($true != $true) | ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | (~spl8_5 | ~spl8_8)),
% 1.45/0.53 inference(superposition,[],[f16,f62])).
% 1.45/0.53 thf(f64,plain,(
% 1.45/0.53 ($true = ((sK3 @ (sK4 @ sK3)))) | ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | (~spl8_5 | ~spl8_8)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f63])).
% 1.45/0.53 thf(f65,plain,(
% 1.45/0.53 ($true = ((sK3 @ (sK4 @ sK3)))) | (spl8_2 | ~spl8_5 | ~spl8_8)),
% 1.45/0.53 inference(forward_subsumption_resolution,[],[f64,f29])).
% 1.45/0.53 thf(f69,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK3))) != $true) | ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | ($true = ((X0 @ (sK5 @ X0)))) | ($true != $true)) ) | (~spl8_5 | ~spl8_8)),
% 1.45/0.53 inference(superposition,[],[f15,f62])).
% 1.45/0.53 thf(f70,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK3))) != $true) | ($true = ((X0 @ (sK5 @ X0)))) | ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)))) ) | (~spl8_5 | ~spl8_8)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f69])).
% 1.45/0.53 thf(f71,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK3))) != $true) | ($true = ((X0 @ (sK5 @ X0))))) ) | (spl8_2 | ~spl8_5 | ~spl8_8)),
% 1.45/0.53 inference(forward_subsumption_resolution,[],[f70,f29])).
% 1.45/0.53 thf(f81,definition,(
% 1.45/0.53 spl8_11 <=> ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK3))) != $true) | ($true = ((X0 @ (sK5 @ X0)))))),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition])).
% 1.45/0.53 thf(f82,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK3))) != $true) | ($true = ((X0 @ (sK5 @ X0))))) ) | ~spl8_11),
% 1.45/0.53 inference(avatar_component_clause,[],[f81])).
% 1.45/0.53 thf(f85,definition,(
% 1.45/0.53 spl8_12 <=> ($true = ((sK3 @ (sK4 @ sK3))))),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition])).
% 1.45/0.53 thf(f87,plain,(
% 1.45/0.53 ($true = ((sK3 @ (sK4 @ sK3)))) | ~spl8_12),
% 1.45/0.53 inference(avatar_component_clause,[],[f85])).
% 1.45/0.53 thf(f110,plain,(
% 1.45/0.53 (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ (sK2 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))))))) = $true) | ($true != $true) | (~spl8_2 | ~spl8_9)),
% 1.45/0.53 inference(superposition,[],[f59,f28])).
% 1.45/0.53 thf(f111,plain,(
% 1.45/0.53 (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ (sK2 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))))))) = $true) | (~spl8_2 | ~spl8_9)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f110])).
% 1.45/0.53 thf(f183,plain,(
% 1.45/0.53 ($true = ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ (sK2 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))))))) | ($true != $true) | (~spl8_2 | ~spl8_3 | ~spl8_9)),
% 1.45/0.53 inference(superposition,[],[f33,f111])).
% 1.45/0.53 thf(f184,plain,(
% 1.45/0.53 ($true = ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ (sK2 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))))))) | (~spl8_2 | ~spl8_3 | ~spl8_9)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f183])).
% 1.45/0.53 thf(f185,plain,(
% 1.45/0.53 ($true != $true) | ($true != ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | (~spl8_1 | ~spl8_2 | ~spl8_3 | ~spl8_9)),
% 1.45/0.53 inference(superposition,[],[f25,f184])).
% 1.45/0.53 thf(f190,plain,(
% 1.45/0.53 ($true != ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | (~spl8_1 | ~spl8_2 | ~spl8_3 | ~spl8_9)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f185])).
% 1.45/0.53 thf(f193,plain,(
% 1.45/0.53 $false | (~spl8_1 | ~spl8_2 | ~spl8_3 | ~spl8_9)),
% 1.45/0.53 inference(forward_subsumption_resolution,[],[f190,f28])).
% 1.45/0.53 thf(f194,plain,(
% 1.45/0.53 ~spl8_1 | ~spl8_2 | ~spl8_3 | ~spl8_9),
% 1.45/0.53 inference(avatar_contradiction_clause,[],[f193])).
% 1.45/0.53 thf(f197,plain,(
% 1.45/0.53 ($true = ((sK0 @ sK7 @ sK6))) | ($true != $true) | (~spl8_6 | ~spl8_7)),
% 1.45/0.53 inference(superposition,[],[f46,f51])).
% 1.45/0.53 thf(f199,plain,(
% 1.45/0.53 ($true = ((sK0 @ sK7 @ sK6))) | (~spl8_6 | ~spl8_7)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f197])).
% 1.45/0.53 thf(f210,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : (($true != $true) | (((X0 @ (sK4 @ sK7))) != $true) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK6)) = $true) | ($true = ((X0 @ (sK5 @ X0))))) ) | (~spl8_6 | ~spl8_7)),
% 1.45/0.53 inference(superposition,[],[f15,f199])).
% 1.45/0.53 thf(f211,plain,(
% 1.45/0.53 ($true = ((sK7 @ (sK4 @ sK7)))) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK6)) = $true) | ($true != $true) | (~spl8_6 | ~spl8_7)),
% 1.45/0.53 inference(superposition,[],[f16,f199])).
% 1.45/0.53 thf(f213,plain,(
% 1.45/0.53 (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK6)) = $true) | ($true = ((sK7 @ (sK4 @ sK7)))) | (~spl8_6 | ~spl8_7)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f211])).
% 1.45/0.53 thf(f214,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK7))) != $true) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK6)) = $true) | ($true = ((X0 @ (sK5 @ X0))))) ) | (~spl8_6 | ~spl8_7)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f210])).
% 1.45/0.53 thf(f221,definition,(
% 1.45/0.53 spl8_17 <=> ($true = ((sK7 @ (sK4 @ sK7))))),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition])).
% 1.45/0.53 thf(f223,plain,(
% 1.45/0.53 ($true = ((sK7 @ (sK4 @ sK7)))) | ~spl8_17),
% 1.45/0.53 inference(avatar_component_clause,[],[f221])).
% 1.45/0.53 thf(f224,plain,(
% 1.45/0.53 spl8_17 | spl8_4 | ~spl8_6 | ~spl8_7),
% 1.45/0.53 inference(avatar_split_clause,[],[f213,f49,f45,f35,f221])).
% 1.45/0.53 thf(f226,definition,(
% 1.45/0.53 spl8_18 <=> ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK7))) != $true) | ($true = ((X0 @ (sK5 @ X0)))))),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_18])],[avatar_definition])).
% 1.45/0.53 thf(f227,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK7))) != $true) | ($true = ((X0 @ (sK5 @ X0))))) ) | ~spl8_18),
% 1.45/0.53 inference(avatar_component_clause,[],[f226])).
% 1.45/0.53 thf(f228,plain,(
% 1.45/0.53 spl8_4 | spl8_18 | ~spl8_6 | ~spl8_7),
% 1.45/0.53 inference(avatar_split_clause,[],[f214,f49,f45,f226,f35])).
% 1.45/0.53 thf(f236,plain,(
% 1.45/0.53 (((sK7 @ (sK5 @ sK7))) = $true) | ($true != $true) | (~spl8_17 | ~spl8_18)),
% 1.45/0.53 inference(superposition,[],[f227,f223])).
% 1.45/0.53 thf(f242,plain,(
% 1.45/0.53 (((sK7 @ (sK5 @ sK7))) = $true) | (~spl8_17 | ~spl8_18)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f236])).
% 1.45/0.53 thf(f245,plain,(
% 1.45/0.53 (((sK0 @ sK7 @ (sK5 @ sK7))) = $true) | ($true != $true) | (~spl8_6 | ~spl8_17 | ~spl8_18)),
% 1.45/0.53 inference(superposition,[],[f46,f242])).
% 1.45/0.53 thf(f246,plain,(
% 1.45/0.53 (((sK0 @ sK7 @ (sK5 @ sK7))) = $true) | (~spl8_6 | ~spl8_17 | ~spl8_18)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f245])).
% 1.45/0.53 thf(f273,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o),X1 : $i] : (($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X1))) | ($true != ((sK0 @ X0 @ X1))) | ($true != $true) | ($true != ((sK7 @ (sK4 @ X0))))) ) | (~spl8_6 | ~spl8_17 | ~spl8_18)),
% 1.45/0.53 inference(superposition,[],[f14,f246])).
% 1.45/0.53 thf(f278,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o),X1 : $i] : (($true != ((sK0 @ X0 @ X1))) | ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X1))) | ($true != ((sK7 @ (sK4 @ X0))))) ) | (~spl8_6 | ~spl8_17 | ~spl8_18)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f273])).
% 1.45/0.53 thf(f362,plain,(
% 1.45/0.53 ( ! [X2 : $i,X0 : ($i > $o),X1 : ($i > $o)] : ((((X0 @ (sK4 @ X1))) != $true) | (((sK0 @ X0 @ (sK5 @ X0))) = $false) | (((sK0 @ X1 @ X2)) != $true) | ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X2))) | ($true != $true)) )),
% 1.45/0.53 inference(superposition,[],[f14,f22])).
% 1.45/0.53 thf(f374,plain,(
% 1.45/0.53 ( ! [X2 : $i,X0 : ($i > $o),X1 : ($i > $o)] : ((((sK0 @ X1 @ X2)) != $true) | (((sK0 @ X0 @ (sK5 @ X0))) = $false) | ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X2))) | (((X0 @ (sK4 @ X1))) != $true)) )),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f362])).
% 1.45/0.53 thf(f455,plain,(
% 1.45/0.53 ($true != $true) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK6)) = $true) | ($true != ((sK7 @ (sK4 @ sK7)))) | (~spl8_6 | ~spl8_7 | ~spl8_17 | ~spl8_18)),
% 1.45/0.53 inference(superposition,[],[f278,f199])).
% 1.45/0.53 thf(f464,plain,(
% 1.45/0.53 ($true != ((sK7 @ (sK4 @ sK7)))) | (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK6)) = $true) | (~spl8_6 | ~spl8_7 | ~spl8_17 | ~spl8_18)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f455])).
% 1.45/0.53 thf(f470,plain,(
% 1.45/0.53 (((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK6)) = $true) | (~spl8_6 | ~spl8_7 | ~spl8_17 | ~spl8_18)),
% 1.45/0.53 inference(forward_subsumption_resolution,[],[f464,f223])).
% 1.45/0.53 thf(f472,plain,(
% 1.45/0.53 $false | (spl8_4 | ~spl8_6 | ~spl8_7 | ~spl8_17 | ~spl8_18)),
% 1.45/0.53 inference(forward_subsumption_resolution,[],[f470,f37])).
% 1.45/0.53 thf(f473,plain,(
% 1.45/0.53 spl8_4 | ~spl8_6 | ~spl8_7 | ~spl8_17 | ~spl8_18),
% 1.45/0.53 inference(avatar_contradiction_clause,[],[f472])).
% 1.45/0.53 thf(f476,plain,(
% 1.45/0.53 spl8_12 | spl8_2 | ~spl8_5 | ~spl8_8),
% 1.45/0.53 inference(avatar_split_clause,[],[f65,f54,f40,f27,f85])).
% 1.45/0.53 thf(f477,plain,(
% 1.45/0.53 spl8_11 | spl8_2 | ~spl8_5 | ~spl8_8),
% 1.45/0.53 inference(avatar_split_clause,[],[f71,f54,f40,f27,f81])).
% 1.45/0.53 thf(f771,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK3))) = $false) | ($true != $true) | ($true = ((X0 @ (sK5 @ X0))))) ) | ~spl8_11),
% 1.45/0.53 inference(superposition,[],[f82,f22])).
% 1.45/0.53 thf(f782,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : (($true = ((X0 @ (sK5 @ X0)))) | (((X0 @ (sK4 @ sK3))) = $false)) ) | ~spl8_11),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f771])).
% 1.45/0.53 thf(f810,plain,(
% 1.45/0.53 (((sK0 @ sK3 @ (sK5 @ sK3))) = $true) | ($false = ((sK3 @ (sK4 @ sK3)))) | ($true != $true) | (~spl8_8 | ~spl8_11)),
% 1.45/0.53 inference(superposition,[],[f55,f782])).
% 1.45/0.53 thf(f830,plain,(
% 1.45/0.53 ($false = ((sK3 @ (sK4 @ sK3)))) | (((sK0 @ sK3 @ (sK5 @ sK3))) = $true) | (~spl8_8 | ~spl8_11)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f810])).
% 1.45/0.53 thf(f2697,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK3))) != $true) | ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | ($true != $true) | (((sK0 @ X0 @ (sK5 @ X0))) = $false)) ) | (~spl8_5 | ~spl8_8)),
% 1.45/0.53 inference(superposition,[],[f374,f62])).
% 1.45/0.53 thf(f2721,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : ((((sK0 @ X0 @ (sK5 @ X0))) = $false) | (((X0 @ (sK4 @ sK3))) != $true) | ($true = ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)))) ) | (~spl8_5 | ~spl8_8)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f2697])).
% 1.45/0.53 thf(f2741,definition,(
% 1.45/0.53 spl8_137 <=> ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK3))) != $true) | (((sK0 @ X0 @ (sK5 @ X0))) = $false))),
% 1.45/0.53 introduced(definition,[new_symbols(definition,[spl8_137])],[avatar_definition])).
% 1.45/0.53 thf(f2742,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK3))) != $true) | (((sK0 @ X0 @ (sK5 @ X0))) = $false)) ) | ~spl8_137),
% 1.45/0.53 inference(avatar_component_clause,[],[f2741])).
% 1.45/0.53 thf(f2744,plain,(
% 1.45/0.53 ( ! [X0 : ($i > $o)] : ((((X0 @ (sK4 @ sK3))) != $true) | (((sK0 @ X0 @ (sK5 @ X0))) = $false)) ) | (spl8_2 | ~spl8_5 | ~spl8_8)),
% 1.45/0.53 inference(forward_subsumption_resolution,[],[f2721,f29])).
% 1.45/0.53 thf(f2751,plain,(
% 1.45/0.53 spl8_137 | spl8_2 | ~spl8_5 | ~spl8_8),
% 1.45/0.53 inference(avatar_split_clause,[],[f2744,f54,f40,f27,f2741])).
% 1.45/0.53 thf(f2757,plain,(
% 1.45/0.53 (((sK0 @ sK3 @ (sK5 @ sK3))) = $false) | ($true != $true) | (~spl8_12 | ~spl8_137)),
% 1.45/0.53 inference(superposition,[],[f2742,f87])).
% 1.45/0.53 thf(f2771,plain,(
% 1.45/0.53 (((sK0 @ sK3 @ (sK5 @ sK3))) = $false) | (~spl8_12 | ~spl8_137)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f2757])).
% 1.45/0.53 thf(f2817,plain,(
% 1.45/0.53 ($true = $false) | (((sK0 @ sK3 @ (sK5 @ sK3))) = $true) | (~spl8_8 | ~spl8_11 | ~spl8_12)),
% 1.45/0.53 inference(forward_demodulation,[],[f830,f87])).
% 1.45/0.53 thf(f2818,plain,(
% 1.45/0.53 (((sK0 @ sK3 @ (sK5 @ sK3))) = $true) | (~spl8_8 | ~spl8_11 | ~spl8_12)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f2817])).
% 1.45/0.53 thf(f2822,plain,(
% 1.45/0.53 ($true = $false) | (~spl8_8 | ~spl8_11 | ~spl8_12 | ~spl8_137)),
% 1.45/0.53 inference(forward_demodulation,[],[f2818,f2771])).
% 1.45/0.53 thf(f2823,plain,(
% 1.45/0.53 $false | (~spl8_8 | ~spl8_11 | ~spl8_12 | ~spl8_137)),
% 1.45/0.53 inference(trivial_inequality_removal,[],[f2822])).
% 1.45/0.53 thf(f2824,plain,(
% 1.45/0.53 ~spl8_8 | ~spl8_11 | ~spl8_12 | ~spl8_137),
% 1.45/0.53 inference(avatar_contradiction_clause,[],[f2823])).
% 1.45/0.53 cnf(s1, plain, spl8_1 | ~spl8_2, inference(sat_conversion,[],[f30])).
% 1.45/0.53 cnf(s2, plain, spl8_3 | ~spl8_4, inference(sat_conversion,[],[f38])).
% 1.45/0.53 cnf(s3, plain, spl8_2 | spl8_5, inference(sat_conversion,[],[f43])).
% 1.45/0.53 cnf(s4, plain, spl8_3 | spl8_6, inference(sat_conversion,[],[f47])).
% 1.45/0.53 cnf(s5, plain, spl8_3 | spl8_7, inference(sat_conversion,[],[f52])).
% 1.45/0.53 cnf(s6, plain, spl8_2 | spl8_8, inference(sat_conversion,[],[f56])).
% 1.45/0.53 cnf(s7, plain, ~spl8_2 | spl8_9, inference(sat_conversion,[],[f60])).
% 1.45/0.53 cnf(s14, plain, ~spl8_1 | ~spl8_2 | ~spl8_3 | ~spl8_9, inference(sat_conversion,[],[f194])).
% 1.45/0.53 cnf(s17, plain, spl8_4 | ~spl8_6 | ~spl8_7 | spl8_17, inference(sat_conversion,[],[f224])).
% 1.45/0.53 cnf(s18, plain, spl8_4 | ~spl8_6 | ~spl8_7 | spl8_18, inference(sat_conversion,[],[f228])).
% 1.45/0.53 cnf(s25, plain, spl8_4 | ~spl8_6 | ~spl8_7 | ~spl8_17 | ~spl8_18, inference(sat_conversion,[],[f473])).
% 1.45/0.53 cnf(s26, plain, spl8_2 | ~spl8_5 | ~spl8_8 | spl8_12, inference(sat_conversion,[],[f476])).
% 1.45/0.53 cnf(s27, plain, spl8_2 | ~spl8_5 | ~spl8_8 | spl8_11, inference(sat_conversion,[],[f477])).
% 1.45/0.53 cnf(s199, plain, spl8_2 | ~spl8_5 | ~spl8_8 | spl8_137, inference(sat_conversion,[],[f2751])).
% 1.45/0.53 cnf(s206, plain, ~spl8_8 | ~spl8_11 | ~spl8_12 | ~spl8_137, inference(sat_conversion,[],[f2824])).
% 1.45/0.53 cnf(s207, plain, ~spl8_5 | ~spl8_8 | spl8_2, inference(rat,[],[s206,s26,s27,s199])).
% 1.45/0.53 cnf(s208, plain, spl8_2, inference(rat,[],[s207,s3,s6])).
% 1.45/0.53 cnf(s209, plain, spl8_9, inference(rat,[],[s7,s208])).
% 1.45/0.53 cnf(s210, plain, spl8_1, inference(rat,[],[s1,s208])).
% 1.45/0.53 cnf(s211, plain, ~spl8_3, inference(rat,[],[s14,s208,s209,s210])).
% 1.45/0.53 cnf(s212, plain, spl8_7, inference(rat,[],[s5,s211])).
% 1.45/0.53 cnf(s213, plain, spl8_6, inference(rat,[],[s4,s211])).
% 1.45/0.53 cnf(s214, plain, ~spl8_4, inference(rat,[],[s2,s211])).
% 1.45/0.53 cnf(s216, plain, spl8_18, inference(rat,[],[s18,s213,s212,s214])).
% 1.45/0.53 cnf(s217, plain, spl8_17, inference(rat,[],[s17,s213,s212,s214])).
% 1.45/0.53 cnf(s219, plain, $false, inference(rat,[],[s25,s216,s213,s212,s214,s217])).
% 1.45/0.53 thf(f2825,plain,(
% 1.45/0.53 $false),
% 1.45/0.53 inference(avatar_sat_refutation,[],[s219])).
% 1.45/0.53 % SZS output end Proof for theBenchmark
% 1.45/0.53 % (2640386)------------------------------
% 1.45/0.53 % (2640386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.53 % (2640386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.53 % (2640386)CaDiCaL version: 2.1.3
% 1.45/0.53 % (2640386)Termination reason: Refutation
% 1.45/0.53 % (2640386)Time elapsed: 0.141 s
% 1.45/0.53 % (2640386)Peak memory usage: 14 MB
% 1.45/0.53 % (2640386)Instructions burned: 281 (million)
% 1.45/0.53 % (2640346)Success in time 0.257 s
% 1.45/0.53 % Vampire exiting
%------------------------------------------------------------------------------