%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV037^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:37:31 AM UTC 2026
% Result : Theorem 2.71s 0.87s
% Output : Refutation 2.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEV037^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.28 % Computer : n010.cluster.edu
% 0.25/0.28 % Model : x86_64 x86_64
% 0.25/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.28 % Memory : 8046.5625MB
% 0.25/0.28 % OS : Linux 6.8.0-71-generic
% 0.25/0.29 % CPULimit : 300
% 0.25/0.29 % WCLimit : 300
% 0.25/0.29 % DateTime : Tue Sep 29 15:04:39 UTC 2026
% 0.25/0.29 % CPUTime :
% 0.25/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.34 Running higher-order theorem proving
% 0.25/0.36 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
% 1.16/0.55 % (2971989)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.16/0.55 % (2971995)lrs+10_16_si=on:nwc=1.5:random_seed=3226340176:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.16/0.55 % (2972000)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.16/0.55 % (2972000)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
% 1.16/0.55 % (2971995)Instruction limit reached!
% 1.16/0.55 % (2971995)------------------------------
% 1.16/0.55 % (2971995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.55 % (2971995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.55 % (2971995)CaDiCaL version: 2.1.3
% 1.16/0.55 % (2971995)Termination reason: Instruction limit
% 1.16/0.55 % (2971995)Termination phase: Saturation
% 1.16/0.55 % (2971995)Time elapsed: 0.010 s
% 1.16/0.55 % (2971995)Peak memory usage: 12 MB
% 1.16/0.55 % (2971995)Instructions burned: 19 (million)
% 1.16/0.55 % (2971996)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3918288845:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.16/0.55 % (2971994)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2026044821:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.16/0.55 % (2971998)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1394378452:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.16/0.55 % (2971997)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=2446920149:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 1.16/0.55 % (2971999)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3499853509:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.16/0.55 % (2972000)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=4078277533:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.16/0.55 % (2971996)Instruction limit reached!
% 1.16/0.55 % (2971996)------------------------------
% 1.16/0.55 % (2971996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.55 % (2971996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.55 % (2971996)CaDiCaL version: 2.1.3
% 1.16/0.55 % (2971996)Termination reason: Instruction limit
% 1.16/0.55 % (2971996)Termination phase: Property scanning
% 1.16/0.55 % (2971996)Time elapsed: 0.004 s
% 1.16/0.55 % (2971996)Peak memory usage: 10 MB
% 1.16/0.55 % (2971996)Instructions burned: 4 (million)
% 1.16/0.55 % (2972003)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1207607322:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.16/0.55 % (2972003)Instruction limit reached!
% 1.16/0.55 % (2972003)------------------------------
% 1.16/0.55 % (2972003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.55 % (2972003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.55 % (2972003)CaDiCaL version: 2.1.3
% 1.16/0.55 % (2972003)Termination reason: Instruction limit
% 1.16/0.55 % (2972003)Termination phase: Property scanning
% 1.16/0.55 % (2972003)Time elapsed: 0.002 s
% 1.16/0.55 % (2972003)Peak memory usage: 10 MB
% 1.16/0.55 % (2972003)Instructions burned: 3 (million)
% 1.16/0.55 % (2972010)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=293654989:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.16/0.55 % (2971998)Instruction limit reached!
% 1.16/0.55 % (2971998)------------------------------
% 1.16/0.55 % (2971998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.55 % (2971998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.55 % (2971998)CaDiCaL version: 2.1.3
% 1.16/0.55 % (2971998)Termination reason: Instruction limit
% 1.16/0.55 % (2971998)Termination phase: Saturation
% 1.16/0.55 % (2971998)Time elapsed: 0.021 s
% 1.16/0.55 % (2971998)Peak memory usage: 12 MB
% 1.16/0.55 % (2971998)Instructions burned: 25 (million)
% 1.16/0.61 % (2972010)Instruction limit reached!
% 1.16/0.61 % (2972010)------------------------------
% 1.16/0.61 % (2972010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.61 % (2972010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.61 % (2972010)CaDiCaL version: 2.1.3
% 1.16/0.61 % (2972010)Termination reason: Instruction limit
% 1.16/0.61 % (2972010)Termination phase: Saturation
% 1.16/0.61 % (2972010)Time elapsed: 0.004 s
% 1.16/0.61 % (2972010)Peak memory usage: 12 MB
% 1.16/0.61 % (2972010)Instructions burned: 9 (million)
% 1.16/0.61 % (2972017)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
% 1.16/0.61 % (2972017)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.16/0.61 % (2972017)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3246811320:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.16/0.61 % (2972016)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2425761459:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.16/0.61 % (2972013)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.16/0.61 % (2972017)Instruction limit reached!
% 1.16/0.61 % (2972017)------------------------------
% 1.16/0.61 % (2972017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.61 % (2972017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.61 % (2972017)CaDiCaL version: 2.1.3
% 1.16/0.61 % (2972017)Termination reason: Instruction limit
% 1.16/0.61 % (2972017)Termination phase: Saturation
% 1.16/0.61 % (2972017)Time elapsed: 0.015 s
% 1.16/0.61 % (2972017)Peak memory usage: 12 MB
% 1.16/0.61 % (2972017)Instructions burned: 29 (million)
% 1.16/0.61 % (2972016)Instruction limit reached!
% 1.16/0.61 % (2972016)------------------------------
% 1.16/0.61 % (2972016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.61 % (2972016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.61 % (2972016)CaDiCaL version: 2.1.3
% 1.16/0.61 % (2972016)Termination reason: Instruction limit
% 1.16/0.61 % (2972016)Termination phase: Saturation
% 1.16/0.61 % (2972016)Time elapsed: 0.012 s
% 1.16/0.61 % (2972016)Peak memory usage: 12 MB
% 1.16/0.61 % (2972016)Instructions burned: 13 (million)
% 1.16/0.61 % (2971999)Instruction limit reached!
% 1.16/0.61 % (2971999)------------------------------
% 1.16/0.61 % (2971999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.61 % (2971999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.61 % (2971999)CaDiCaL version: 2.1.3
% 1.16/0.61 % (2971999)Termination reason: Instruction limit
% 1.16/0.61 % (2971999)Termination phase: Saturation
% 1.16/0.61 % (2971999)Time elapsed: 0.066 s
% 1.16/0.61 % (2971999)Peak memory usage: 13 MB
% 1.16/0.61 % (2971999)Instructions burned: 75 (million)
% 1.16/0.61 % (2971994)Instruction limit reached!
% 1.16/0.61 % (2971994)------------------------------
% 1.16/0.61 % (2971994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.16/0.61 % (2971994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.16/0.61 % (2971994)CaDiCaL version: 2.1.3
% 1.16/0.61 % (2971994)Termination reason: Instruction limit
% 1.16/0.61 % (2971994)Termination phase: Saturation
% 1.16/0.61 % (2971994)Time elapsed: 0.076 s
% 1.16/0.61 % (2971994)Peak memory usage: 12 MB
% 1.16/0.61 % (2971994)Instructions burned: 87 (million)
% 1.16/0.61 % (2972013)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3424560795:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.16/0.61 % (2972024)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.16/0.61 % (2972022)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=1835316739:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 2.12/0.66 % (2972024)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=2219910626:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.12/0.66 % (2972013)Instruction limit reached!
% 2.12/0.66 % (2972013)------------------------------
% 2.12/0.66 % (2972013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.66 % (2972013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.66 % (2972013)CaDiCaL version: 2.1.3
% 2.12/0.66 % (2972013)Termination reason: Instruction limit
% 2.12/0.66 % (2972013)Termination phase: Saturation
% 2.12/0.66 % (2972013)Time elapsed: 0.011 s
% 2.12/0.66 % (2972013)Peak memory usage: 11 MB
% 2.12/0.66 % (2972013)Instructions burned: 7 (million)
% 2.12/0.66 % (2972024)Instruction limit reached!
% 2.12/0.66 % (2972024)------------------------------
% 2.12/0.66 % (2972024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.66 % (2972024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.66 % (2972024)CaDiCaL version: 2.1.3
% 2.12/0.66 % (2972024)Termination reason: Instruction limit
% 2.12/0.66 % (2972024)Termination phase: Property scanning
% 2.12/0.66 % (2972024)Time elapsed: 0.001 s
% 2.12/0.66 % (2972024)Peak memory usage: 10 MB
% 2.12/0.66 % (2972024)Instructions burned: 3 (million)
% 2.12/0.66 % (2972023)lrs+10_1_si=on:cs=on:random_seed=2521882901:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.12/0.66 % (2972023)Instruction limit reached!
% 2.12/0.66 % (2972023)------------------------------
% 2.12/0.66 % (2972023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.66 % (2972023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.66 % (2972023)CaDiCaL version: 2.1.3
% 2.12/0.66 % (2972023)Termination reason: Instruction limit
% 2.12/0.66 % (2972023)Termination phase: Saturation
% 2.12/0.66 % (2972023)Time elapsed: 0.008 s
% 2.12/0.66 % (2972023)Peak memory usage: 12 MB
% 2.12/0.66 % (2972023)Instructions burned: 8 (million)
% 2.12/0.66 % (2972029)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2469932779:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 2.12/0.66 % (2972026)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=943903269:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 2.12/0.66 % (2972030)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1691747270:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.12/0.66 % (2972030)Instruction limit reached!
% 2.12/0.66 % (2972030)------------------------------
% 2.12/0.66 % (2972030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.66 % (2972030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.66 % (2972030)CaDiCaL version: 2.1.3
% 2.12/0.66 % (2972030)Termination reason: Instruction limit
% 2.12/0.66 % (2972030)Termination phase: Saturation
% 2.12/0.66 % (2972030)Time elapsed: 0.016 s
% 2.12/0.66 % (2972030)Peak memory usage: 12 MB
% 2.12/0.66 % (2972030)Instructions burned: 26 (million)
% 2.12/0.66 % (2972033)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=345194859:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.12/0.66 % (2972000)Instruction limit reached!
% 2.12/0.66 % (2972000)------------------------------
% 2.12/0.66 % (2972000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.66 % (2972000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.66 % (2972000)CaDiCaL version: 2.1.3
% 2.12/0.66 % (2972000)Termination reason: Instruction limit
% 2.12/0.66 % (2972000)Termination phase: Saturation
% 2.12/0.66 % (2972000)Time elapsed: 0.142 s
% 2.12/0.66 % (2972000)Peak memory usage: 12 MB
% 2.12/0.66 % (2972000)Instructions burned: 158 (million)
% 2.12/0.66 % (2972026)Instruction limit reached!
% 2.12/0.66 % (2972026)------------------------------
% 2.12/0.66 % (2972026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.66 % (2972026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.66 % (2972026)CaDiCaL version: 2.1.3
% 2.12/0.66 % (2972026)Termination reason: Instruction limit
% 2.12/0.66 % (2972026)Termination phase: Saturation
% 2.40/0.75 % (2972026)Time elapsed: 0.038 s
% 2.40/0.75 % (2972026)Peak memory usage: 12 MB
% 2.40/0.75 % (2972026)Instructions burned: 38 (million)
% 2.40/0.75 % (2972033)Instruction limit reached!
% 2.40/0.75 % (2972033)------------------------------
% 2.40/0.75 % (2972033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.75 % (2972033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.75 % (2972033)CaDiCaL version: 2.1.3
% 2.40/0.75 % (2972037)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2162571781:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.40/0.75 % (2972033)Termination reason: Instruction limit
% 2.40/0.75 % (2972033)Termination phase: Saturation
% 2.40/0.75 % (2972033)Time elapsed: 0.016 s
% 2.40/0.75 % (2972033)Peak memory usage: 12 MB
% 2.40/0.75 % (2972033)Instructions burned: 15 (million)
% 2.40/0.75 % (2972022)Instruction limit reached!
% 2.40/0.75 % (2972022)------------------------------
% 2.40/0.75 % (2972022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.75 % (2972022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.75 % (2972022)CaDiCaL version: 2.1.3
% 2.40/0.75 % (2972022)Termination reason: Instruction limit
% 2.40/0.75 % (2972022)Termination phase: Saturation
% 2.40/0.75 % (2972022)Time elapsed: 0.078 s
% 2.40/0.75 % (2972022)Peak memory usage: 13 MB
% 2.40/0.75 % (2972022)Instructions burned: 87 (million)
% 2.40/0.75 % (2972040)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=131893639:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.40/0.75 % (2972040)Instruction limit reached!
% 2.40/0.75 % (2972040)------------------------------
% 2.40/0.75 % (2972040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.75 % (2972040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.75 % (2972040)CaDiCaL version: 2.1.3
% 2.40/0.75 % (2972040)Termination reason: Instruction limit
% 2.40/0.75 % (2972040)Termination phase: Property scanning
% 2.40/0.75 % (2972040)Time elapsed: 0.002 s
% 2.40/0.75 % (2972040)Peak memory usage: 10 MB
% 2.40/0.75 % (2972040)Instructions burned: 3 (million)
% 2.40/0.75 % (2972039)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1772106253:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.40/0.75 % (2972042)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1896673106:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.40/0.75 % (2972045)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1541330726:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.40/0.75 % (2972043)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2171443115:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.40/0.75 % (2972029)Instruction limit reached!
% 2.40/0.75 % (2972029)------------------------------
% 2.40/0.75 % (2972029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.75 % (2972029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.75 % (2972029)CaDiCaL version: 2.1.3
% 2.40/0.75 % (2972029)Termination reason: Instruction limit
% 2.40/0.75 % (2972029)Termination phase: Saturation
% 2.40/0.75 % (2972029)Time elapsed: 0.096 s
% 2.40/0.75 % (2972029)Peak memory usage: 12 MB
% 2.40/0.75 % (2972029)Instructions burned: 250 (million)
% 2.40/0.75 % (2972039)Instruction limit reached!
% 2.40/0.75 % (2972039)------------------------------
% 2.40/0.75 % (2972039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.75 % (2972039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.75 % (2972039)CaDiCaL version: 2.1.3
% 2.40/0.75 % (2972039)Termination reason: Instruction limit
% 2.40/0.75 % (2972039)Termination phase: Saturation
% 2.40/0.75 % (2972039)Time elapsed: 0.029 s
% 2.40/0.75 % (2972039)Peak memory usage: 12 MB
% 2.40/0.75 % (2972039)Instructions burned: 14 (million)
% 2.40/0.75 % (2972042)Instruction limit reached!
% 2.40/0.75 % (2972042)------------------------------
% 2.40/0.75 % (2972042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.75 % (2972042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.75 % (2972042)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972042)Termination reason: Instruction limit
% 2.71/0.87 % (2972042)Termination phase: Saturation
% 2.71/0.87 % (2972042)Time elapsed: 0.023 s
% 2.71/0.87 % (2972042)Peak memory usage: 12 MB
% 2.71/0.87 % (2972042)Instructions burned: 26 (million)
% 2.71/0.87 % (2972043)Instruction limit reached!
% 2.71/0.87 % (2972043)------------------------------
% 2.71/0.87 % (2972043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972043)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972043)Termination reason: Instruction limit
% 2.71/0.87 % (2972043)Termination phase: Saturation
% 2.71/0.87 % (2972043)Time elapsed: 0.020 s
% 2.71/0.87 % (2972043)Peak memory usage: 11 MB
% 2.71/0.87 % (2972043)Instructions burned: 24 (million)
% 2.71/0.87 % (2972050)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
% 2.71/0.87 % (2972050)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.71/0.87 % (2972050)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=2185189573:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.71/0.87 % (2972050)Instruction limit reached!
% 2.71/0.87 % (2972050)------------------------------
% 2.71/0.87 % (2972050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972050)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972050)Termination reason: Instruction limit
% 2.71/0.87 % (2972050)Termination phase: Saturation
% 2.71/0.87 % (2972050)Time elapsed: 0.006 s
% 2.71/0.87 % (2972050)Peak memory usage: 12 MB
% 2.71/0.87 % (2972050)Instructions burned: 14 (million)
% 2.71/0.87 % (2972045)Instruction limit reached!
% 2.71/0.87 % (2972045)------------------------------
% 2.71/0.87 % (2972045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972045)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972045)Termination reason: Instruction limit
% 2.71/0.87 % (2972045)Termination phase: Saturation
% 2.71/0.87 % (2972045)Time elapsed: 0.040 s
% 2.71/0.87 % (2972045)Peak memory usage: 12 MB
% 2.71/0.87 % (2972045)Instructions burned: 60 (million)
% 2.71/0.87 % (2972051)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.71/0.87 % (2972053)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=315975384:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.71/0.87 % (2972051)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=1673145307:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.71/0.87 % (2972053)Instruction limit reached!
% 2.71/0.87 % (2972053)------------------------------
% 2.71/0.87 % (2972053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972053)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972053)Termination reason: Instruction limit
% 2.71/0.87 % (2972053)Termination phase: Saturation
% 2.71/0.87 % (2972053)Time elapsed: 0.004 s
% 2.71/0.87 % (2972053)Peak memory usage: 11 MB
% 2.71/0.87 % (2972053)Instructions burned: 8 (million)
% 2.71/0.87 % (2972052)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=1667620369:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.71/0.87 % (2972055)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4025468610:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.71/0.87 % (2972051)Instruction limit reached!
% 2.71/0.87 % (2972051)------------------------------
% 2.71/0.87 % (2972051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972051)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972051)Termination reason: Instruction limit
% 2.71/0.87 % (2972051)Termination phase: Saturation
% 2.71/0.87 % (2972051)Time elapsed: 0.009 s
% 2.71/0.87 % (2972051)Peak memory usage: 12 MB
% 2.71/0.87 % (2972051)Instructions burned: 9 (million)
% 2.71/0.87 % (2972059)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3236858754:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.71/0.87 % (2972056)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2196511370:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.71/0.87 % (2972055)Instruction limit reached!
% 2.71/0.87 % (2972055)------------------------------
% 2.71/0.87 % (2972055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972055)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972055)Termination reason: Instruction limit
% 2.71/0.87 % (2972055)Termination phase: Saturation
% 2.71/0.87 % (2972055)Time elapsed: 0.017 s
% 2.71/0.87 % (2972055)Peak memory usage: 11 MB
% 2.71/0.87 % (2972055)Instructions burned: 23 (million)
% 2.71/0.87 % (2972052)Instruction limit reached!
% 2.71/0.87 % (2972052)------------------------------
% 2.71/0.87 % (2972052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972052)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972052)Termination reason: Instruction limit
% 2.71/0.87 % (2972052)Termination phase: Saturation
% 2.71/0.87 % (2972052)Time elapsed: 0.026 s
% 2.71/0.87 % (2972052)Peak memory usage: 12 MB
% 2.71/0.87 % (2972052)Instructions burned: 32 (million)
% 2.71/0.87 % (2972056)Instruction limit reached!
% 2.71/0.87 % (2972056)------------------------------
% 2.71/0.87 % (2972056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972056)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972056)Termination reason: Instruction limit
% 2.71/0.87 % (2972056)Termination phase: Saturation
% 2.71/0.87 % (2972056)Time elapsed: 0.018 s
% 2.71/0.87 % (2972056)Peak memory usage: 12 MB
% 2.71/0.87 % (2972056)Instructions burned: 21 (million)
% 2.71/0.87 % (2972062)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1524786954:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.71/0.87 % (2972066)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3528296677:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.71/0.87 % (2972067)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3478263700:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.71/0.87 % (2972068)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.71/0.87 % (2972068)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=599425406:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.71/0.87 % (2972068)Instruction limit reached!
% 2.71/0.87 % (2972068)------------------------------
% 2.71/0.87 % (2972068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972068)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972068)Termination reason: Instruction limit
% 2.71/0.87 % (2972068)Termination phase: Saturation
% 2.71/0.87 % (2972068)Time elapsed: 0.007 s
% 2.71/0.87 % (2972068)Peak memory usage: 11 MB
% 2.71/0.87 % (2972068)Instructions burned: 8 (million)
% 2.71/0.87 % (2972067)Instruction limit reached!
% 2.71/0.87 % (2972067)------------------------------
% 2.71/0.87 % (2972067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972067)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972067)Termination reason: Instruction limit
% 2.71/0.87 % (2972067)Termination phase: Saturation
% 2.71/0.87 % (2972067)Time elapsed: 0.038 s
% 2.71/0.87 % (2972067)Peak memory usage: 12 MB
% 2.71/0.87 % (2972067)Instructions burned: 42 (million)
% 2.71/0.87 % (2972074)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2701438016:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.71/0.87 % (2972075)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=3389639233: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)
% 2.71/0.87 % (2972062)Instruction limit reached!
% 2.71/0.87 % (2972062)------------------------------
% 2.71/0.87 % (2972062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972062)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972062)Termination reason: Instruction limit
% 2.71/0.87 % (2972062)Termination phase: Saturation
% 2.71/0.87 % (2972062)Time elapsed: 0.119 s
% 2.71/0.87 % (2972062)Peak memory usage: 14 MB
% 2.71/0.87 % (2972062)Instructions burned: 144 (million)
% 2.71/0.87 % (2972037)Instruction limit reached!
% 2.71/0.87 % (2972037)------------------------------
% 2.71/0.87 % (2972037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972037)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972037)Termination reason: Instruction limit
% 2.71/0.87 % (2972037)Termination phase: Saturation
% 2.71/0.87 % (2972037)Time elapsed: 0.255 s
% 2.71/0.87 % (2972037)Peak memory usage: 12 MB
% 2.71/0.87 % (2972037)Instructions burned: 328 (million)
% 2.71/0.87 % (2972079)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.71/0.87 % (2972079)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1163716319:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 2.71/0.87 % (2972079)Instruction limit reached!
% 2.71/0.87 % (2972079)------------------------------
% 2.71/0.87 % (2972079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972079)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972079)Termination reason: Instruction limit
% 2.71/0.87 % (2972079)Termination phase: Saturation
% 2.71/0.87 % (2972079)Time elapsed: 0.004 s
% 2.71/0.87 % (2972079)Peak memory usage: 11 MB
% 2.71/0.87 % (2972079)Instructions burned: 7 (million)
% 2.71/0.87 % (2972080)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1926554251:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 2.71/0.87 % (2972066)Instruction limit reached!
% 2.71/0.87 % (2972066)------------------------------
% 2.71/0.87 % (2972066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2972066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2972066)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2972066)Termination reason: Instruction limit
% 2.71/0.87 % (2972066)Termination phase: Saturation
% 2.71/0.87 % (2972066)Time elapsed: 0.145 s
% 2.71/0.87 % (2972066)Peak memory usage: 12 MB
% 2.71/0.87 % (2972066)Instructions burned: 194 (million)
% 2.71/0.87 % (2971997) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2971989-2971997"...
% 2.71/0.87 % (2971997)...printing done.
% 2.71/0.87 % (2971997)Refutation found. Thanks to Tanya!
% 2.71/0.87 % SZS status Theorem for theBenchmark
% 2.71/0.87 % SZS output start Proof for theBenchmark
% 2.71/0.87 thf(type_def_5, type, a: $tType).
% 2.71/0.87 thf(type_def_6, type, b: $tType).
% 2.71/0.87 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 2.71/0.87 thf(func_def_3, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.71/0.87 thf(func_def_4, type, vIMP: ($o > $o > $o)).
% 2.71/0.87 thf(func_def_5, type, db0: !>[X0: $tType]:(X0)).
% 2.71/0.87 thf(func_def_6, type, db1: !>[X0: $tType]:(X0)).
% 2.71/0.87 thf(func_def_7, type, db3: !>[X0: $tType]:(X0)).
% 2.71/0.87 thf(func_def_8, type, db2: !>[X0: $tType]:(X0)).
% 2.71/0.87 thf(func_def_9, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.71/0.87 thf(func_def_10, type, sK0: (a > b > b > $o)).
% 2.71/0.87 thf(func_def_11, type, sK1: (a > a > $o)).
% 2.71/0.87 thf(func_def_12, type, sK2: (a > a > $o)).
% 2.71/0.87 thf(func_def_13, type, sK3: (a > b)).
% 2.71/0.87 thf(func_def_14, type, sK4: (a > b)).
% 2.71/0.87 thf(func_def_15, type, sK5: (a > b)).
% 2.71/0.87 thf(func_def_16, type, sK6: a).
% 2.71/0.87 thf(func_def_17, type, sK7: a).
% 2.71/0.87 thf(func_def_18, type, sK8: (a > b)).
% 2.71/0.87 thf(func_def_19, type, sK9: (a > b)).
% 2.71/0.87 thf(func_def_20, type, sK10: a).
% 2.71/0.87 thf(func_def_21, type, sK11: a).
% 2.71/0.87 thf(func_def_23, type, sK13: ((a > b) > (a > b) > a)).
% 2.71/0.87 thf(func_def_24, type, sK14: ((a > b) > (a > b) > a)).
% 2.71/0.87 thf(func_def_25, type, sK15: ((a > b) > (a > b) > a)).
% 2.71/0.87 thf(func_def_26, type, sK16: ((a > b) > (a > b) > a)).
% 2.71/0.87 thf(f1,conjecture,(
% 2.71/0.87 ! [X0 : (a > a > $o),X2 : (a > b > b > $o),X1 : (a > a > $o)] : (((X0 = X1) & ! [X5 : a,X4 : a,X3 : a] : (((X0 @ X4 @ X5) & (X0 @ X3 @ X4)) => (X0 @ X3 @ X5)) & ! [X4 : a,X3 : a] : ((X0 @ X3 @ X4) => (X0 @ X4 @ X3))) => (! [X4 : a,X3 : a] : ((X0 @ X3 @ X4) => (! [X6 : b,X7 : b] : ((X2 @ X3 @ X6 @ X7) => (X2 @ X3 @ X7 @ X6)) & ! [X5 : b,X7 : b,X6 : b] : (((X2 @ X3 @ X7 @ X5) & (X2 @ X3 @ X6 @ X7)) => (X2 @ X3 @ X6 @ X5)) & (((X2 @ X3)) = ((X2 @ X4))))) => (! [X3 : (a > b),X4 : (a > b)] : (! [X7 : a,X6 : a] : ((X0 @ X6 @ X7) => (X2 @ X6 @ (X3 @ X6) @ (X4 @ X7))) => ! [X7 : a,X6 : a] : ((X0 @ X6 @ X7) => (X2 @ X6 @ (X4 @ X6) @ (X3 @ X7)))) & ((^[X8 : (a > b), X9 : (a > b)] : (! [X3 : a,X4 : a] : ((X1 @ X3 @ X4) => (X2 @ X3 @ (X8 @ X3) @ (X9 @ X4))))) = (^[X8 : (a > b), X9 : (a > b)] : (! [X3 : a,X4 : a] : ((X0 @ X3 @ X4) => (X2 @ X3 @ (X8 @ X3) @ (X9 @ X4)))))) & ! [X5 : (a > b),X3 : (a > b),X4 : (a > b)] : ((! [X6 : a,X7 : a] : ((X0 @ X6 @ X7) => (X2 @ X6 @ (X3 @ X6) @ (X4 @ X7))) & ! [X6 : a,X7 : a] : ((X0 @ X6 @ X7) => (X2 @ X6 @ (X4 @ X6) @ (X5 @ X7)))) => ! [X7 : a,X6 : a] : ((X0 @ X6 @ X7) => (X2 @ X6 @ (X3 @ X6) @ (X5 @ X7)))))))),
% 2.71/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM516_pme)).
% 2.71/0.87 thf(f2,negated_conjecture,(
% 2.71/0.87 ~ ! [X0 : (a > a > $o),X2 : (a > b > b > $o),X1 : (a > a > $o)] : (((X0 = X1) & ! [X5 : a,X4 : a,X3 : a] : (((X0 @ X4 @ X5) & (X0 @ X3 @ X4)) => (X0 @ X3 @ X5)) & ! [X4 : a,X3 : a] : ((X0 @ X3 @ X4) => (X0 @ X4 @ X3))) => (! [X4 : a,X3 : a] : ((X0 @ X3 @ X4) => (! [X6 : b,X7 : b] : ((X2 @ X3 @ X6 @ X7) => (X2 @ X3 @ X7 @ X6)) & ! [X5 : b,X7 : b,X6 : b] : (((X2 @ X3 @ X7 @ X5) & (X2 @ X3 @ X6 @ X7)) => (X2 @ X3 @ X6 @ X5)) & (((X2 @ X3)) = ((X2 @ X4))))) => (! [X3 : (a > b),X4 : (a > b)] : (! [X7 : a,X6 : a] : ((X0 @ X6 @ X7) => (X2 @ X6 @ (X3 @ X6) @ (X4 @ X7))) => ! [X7 : a,X6 : a] : ((X0 @ X6 @ X7) => (X2 @ X6 @ (X4 @ X6) @ (X3 @ X7)))) & ((^[X8 : (a > b), X9 : (a > b)] : (! [X3 : a,X4 : a] : ((X1 @ X3 @ X4) => (X2 @ X3 @ (X8 @ X3) @ (X9 @ X4))))) = (^[X8 : (a > b), X9 : (a > b)] : (! [X3 : a,X4 : a] : ((X0 @ X3 @ X4) => (X2 @ X3 @ (X8 @ X3) @ (X9 @ X4)))))) & ! [X5 : (a > b),X3 : (a > b),X4 : (a > b)] : ((! [X6 : a,X7 : a] : ((X0 @ X6 @ X7) => (X2 @ X6 @ (X3 @ X6) @ (X4 @ X7))) & ! [X6 : a,X7 : a] : ((X0 @ X6 @ X7) => (X2 @ X6 @ (X4 @ X6) @ (X5 @ X7)))) => ! [X7 : a,X6 : a] : ((X0 @ X6 @ X7) => (X2 @ X6 @ (X3 @ X6) @ (X5 @ X7)))))))),
% 2.71/0.87 inference(negated_conjecture,[status(cth)],[f1])).
% 2.71/0.87 thf(f3,plain,(
% 2.71/0.87 ~ ! [X0 : (a > a > $o),X1 : (a > b > b > $o),X2 : (a > a > $o)] : (((X0 = X2) & ! [X3 : a,X4 : a,X5 : a] : (((X0 @ X4 @ X3) & (X0 @ X5 @ X4)) => (X0 @ X5 @ X3)) & ! [X6 : a,X7 : a] : ((X0 @ X7 @ X6) => (X0 @ X6 @ X7))) => (! [X8 : a,X9 : a] : ((X0 @ X9 @ X8) => (! [X10 : b,X11 : b] : ((X1 @ X9 @ X10 @ X11) => (X1 @ X9 @ X11 @ X10)) & ! [X12 : b,X13 : b,X14 : b] : (((X1 @ X9 @ X13 @ X12) & (X1 @ X9 @ X14 @ X13)) => (X1 @ X9 @ X14 @ X12)) & (((X1 @ X8)) = ((X1 @ X9))))) => (! [X15 : (a > b),X16 : (a > b)] : (! [X17 : a,X18 : a] : ((X0 @ X18 @ X17) => (X1 @ X18 @ (X15 @ X18) @ (X16 @ X17))) => ! [X19 : a,X20 : a] : ((X0 @ X20 @ X19) => (X1 @ X20 @ (X16 @ X20) @ (X15 @ X19)))) & ((^[X21 : (a > b), X22 : (a > b)] : (! [X23 : a,X24 : a] : ((X2 @ X23 @ X24) => (X1 @ X23 @ (X21 @ X23) @ (X22 @ X24))))) = (^[X25 : (a > b), X26 : (a > b)] : (! [X27 : a,X28 : a] : ((X0 @ X27 @ X28) => (X1 @ X27 @ (X25 @ X27) @ (X26 @ X28)))))) & ! [X29 : (a > b),X30 : (a > b),X31 : (a > b)] : ((! [X32 : a,X33 : a] : ((X0 @ X32 @ X33) => (X1 @ X32 @ (X30 @ X32) @ (X31 @ X33))) & ! [X34 : a,X35 : a] : ((X0 @ X34 @ X35) => (X1 @ X34 @ (X31 @ X34) @ (X29 @ X35)))) => ! [X36 : a,X37 : a] : ((X0 @ X37 @ X36) => (X1 @ X37 @ (X30 @ X37) @ (X29 @ X36)))))))),
% 2.71/0.87 inference(rectify,[],[f2])).
% 2.71/0.87 thf(f4,plain,(
% 2.71/0.87 ~ ! [X0 : (a > a > $o),X1 : (a > b > b > $o),X2 : (a > a > $o)] : (((X0 = X2) & ! [X4 : a,X5 : a,X3 : a] : (((((X0 @ X4 @ X3)) = $true) & (((X0 @ X5 @ X4)) = $true)) => (((X0 @ X5 @ X3)) = $true)) & ! [X7 : a,X6 : a] : ((((X0 @ X7 @ X6)) = $true) => (((X0 @ X6 @ X7)) = $true))) => (! [X8 : a,X9 : a] : ((((X0 @ X9 @ X8)) = $true) => (! [X11 : b,X10 : b] : ((((X1 @ X9 @ X10 @ X11)) = $true) => (((X1 @ X9 @ X11 @ X10)) = $true)) & (((X1 @ X8)) = ((X1 @ X9))) & ! [X12 : b,X13 : b,X14 : b] : ((($true = ((X1 @ X9 @ X14 @ X13))) & (((X1 @ X9 @ X13 @ X12)) = $true)) => ($true = ((X1 @ X9 @ X14 @ X12)))))) => (! [X16 : (a > b),X15 : (a > b)] : (! [X18 : a,X17 : a] : ((((X0 @ X18 @ X17)) = $true) => ($true = ((X1 @ X18 @ (X15 @ X18) @ (X16 @ X17))))) => ! [X20 : a,X19 : a] : ((((X0 @ X20 @ X19)) = $true) => (((X1 @ X20 @ (X16 @ X20) @ (X15 @ X19))) = $true))) & ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X2 @ Y3 @ Y2) => (X1 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) = (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X0 @ Y3 @ Y2) => (X1 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) & ! [X29 : (a > b),X30 : (a > b),X31 : (a > b)] : ((! [X32 : a,X33 : a] : ((((X0 @ X32 @ X33)) = $true) => (((X1 @ X32 @ (X30 @ X32) @ (X31 @ X33))) = $true)) & ! [X34 : a,X35 : a] : ((((X0 @ X34 @ X35)) = $true) => (((X1 @ X34 @ (X31 @ X34) @ (X29 @ X35))) = $true))) => ! [X36 : a,X37 : a] : ((((X0 @ X37 @ X36)) = $true) => (((X1 @ X37 @ (X30 @ X37) @ (X29 @ X36))) = $true))))))),
% 2.71/0.87 inference(fool_elimination,[],[f3])).
% 2.71/0.87 thf(f5,plain,(
% 2.71/0.87 ~ ! [X1 : (a > b > b > $o),X0 : (a > a > $o),X2 : (a > a > $o)] : (((X0 = X2) & ! [X4 : a,X5 : a,X3 : a] : (((((X0 @ X4 @ X3)) = $true) & (((X0 @ X5 @ X4)) = $true)) => (((X0 @ X5 @ X3)) = $true)) & ! [X7 : a,X6 : a] : ((((X0 @ X7 @ X6)) = $true) => (((X0 @ X6 @ X7)) = $true))) => (! [X8 : a,X9 : a] : ((((X0 @ X9 @ X8)) = $true) => (! [X11 : b,X10 : b] : ((((X1 @ X9 @ X10 @ X11)) = $true) => (((X1 @ X9 @ X11 @ X10)) = $true)) & (((X1 @ X8)) = ((X1 @ X9))) & ! [X12 : b,X13 : b,X14 : b] : ((($true = ((X1 @ X9 @ X14 @ X13))) & (((X1 @ X9 @ X13 @ X12)) = $true)) => ($true = ((X1 @ X9 @ X14 @ X12)))))) => (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X2 @ Y3 @ Y2) => (X1 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) = (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X0 @ Y3 @ Y2) => (X1 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) & ! [X16 : (a > b),X15 : (a > b)] : (! [X18 : a,X17 : a] : ((((X0 @ X18 @ X17)) = $true) => ($true = ((X1 @ X18 @ (X15 @ X18) @ (X16 @ X17))))) => ! [X20 : a,X19 : a] : ((((X0 @ X20 @ X19)) = $true) => (((X1 @ X20 @ (X16 @ X20) @ (X15 @ X19))) = $true))) & ! [X21 : (a > b),X23 : (a > b),X22 : (a > b)] : ((! [X27 : a,X26 : a] : ((((X0 @ X26 @ X27)) = $true) => (((X1 @ X26 @ (X23 @ X26) @ (X21 @ X27))) = $true)) & ! [X25 : a,X24 : a] : ((((X0 @ X24 @ X25)) = $true) => (((X1 @ X24 @ (X22 @ X24) @ (X23 @ X25))) = $true))) => ! [X28 : a,X29 : a] : ((((X0 @ X29 @ X28)) = $true) => (((X1 @ X29 @ (X22 @ X29) @ (X21 @ X28))) = $true))))))),
% 2.71/0.87 inference(rectify,[],[f4])).
% 2.71/0.87 thf(f6,plain,(
% 2.71/0.87 ? [X1 : (a > b > b > $o),X0 : (a > a > $o),X2 : (a > a > $o)] : (((((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X2 @ Y3 @ Y2) => (X1 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X0 @ Y3 @ Y2) => (X1 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | ? [X16 : (a > b),X15 : (a > b)] : (? [X20 : a,X19 : a] : ((((X0 @ X20 @ X19)) = $true) & (((X1 @ X20 @ (X16 @ X20) @ (X15 @ X19))) != $true)) & ! [X17 : a,X18 : a] : ((((X0 @ X18 @ X17)) != $true) | ($true = ((X1 @ X18 @ (X15 @ X18) @ (X16 @ X17)))))) | ? [X21 : (a > b),X23 : (a > b),X22 : (a > b)] : (? [X28 : a,X29 : a] : ((((X0 @ X29 @ X28)) = $true) & (((X1 @ X29 @ (X22 @ X29) @ (X21 @ X28))) != $true)) & (! [X27 : a,X26 : a] : ((((X1 @ X26 @ (X23 @ X26) @ (X21 @ X27))) = $true) | (((X0 @ X26 @ X27)) != $true)) & ! [X24 : a,X25 : a] : ((((X0 @ X24 @ X25)) != $true) | (((X1 @ X24 @ (X22 @ X24) @ (X23 @ X25))) = $true))))) & ! [X8 : a,X9 : a] : ((! [X11 : b,X10 : b] : ((((X1 @ X9 @ X10 @ X11)) != $true) | (((X1 @ X9 @ X11 @ X10)) = $true)) & (((X1 @ X8)) = ((X1 @ X9))) & ! [X12 : b,X13 : b,X14 : b] : (($true = ((X1 @ X9 @ X14 @ X12))) | (($true != ((X1 @ X9 @ X14 @ X13))) | (((X1 @ X9 @ X13 @ X12)) != $true)))) | (((X0 @ X9 @ X8)) != $true))) & ((X0 = X2) & ! [X4 : a,X5 : a,X3 : a] : ((((X0 @ X5 @ X3)) = $true) | ((((X0 @ X4 @ X3)) != $true) | (((X0 @ X5 @ X4)) != $true))) & ! [X6 : a,X7 : a] : ((((X0 @ X6 @ X7)) = $true) | (((X0 @ X7 @ X6)) != $true))))),
% 2.71/0.87 inference(ennf_transformation,[],[f5])).
% 2.71/0.87 thf(f7,plain,(
% 2.71/0.87 ? [X1 : (a > b > b > $o),X0 : (a > a > $o),X2 : (a > a > $o)] : ((X0 = X2) & ! [X6 : a,X7 : a] : ((((X0 @ X6 @ X7)) = $true) | (((X0 @ X7 @ X6)) != $true)) & ! [X3 : a,X4 : a,X5 : a] : ((((X0 @ X4 @ X3)) != $true) | (((X0 @ X5 @ X4)) != $true) | (((X0 @ X5 @ X3)) = $true)) & ! [X9 : a,X8 : a] : ((! [X11 : b,X10 : b] : ((((X1 @ X9 @ X10 @ X11)) != $true) | (((X1 @ X9 @ X11 @ X10)) = $true)) & ! [X13 : b,X12 : b,X14 : b] : ((((X1 @ X9 @ X13 @ X12)) != $true) | ($true = ((X1 @ X9 @ X14 @ X12))) | ($true != ((X1 @ X9 @ X14 @ X13)))) & (((X1 @ X8)) = ((X1 @ X9)))) | (((X0 @ X9 @ X8)) != $true)) & (? [X21 : (a > b),X23 : (a > b),X22 : (a > b)] : (! [X24 : a,X25 : a] : ((((X0 @ X24 @ X25)) != $true) | (((X1 @ X24 @ (X22 @ X24) @ (X23 @ X25))) = $true)) & ! [X27 : a,X26 : a] : ((((X1 @ X26 @ (X23 @ X26) @ (X21 @ X27))) = $true) | (((X0 @ X26 @ X27)) != $true)) & ? [X28 : a,X29 : a] : ((((X0 @ X29 @ X28)) = $true) & (((X1 @ X29 @ (X22 @ X29) @ (X21 @ X28))) != $true))) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X2 @ Y3 @ Y2) => (X1 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X0 @ Y3 @ Y2) => (X1 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | ? [X16 : (a > b),X15 : (a > b)] : (? [X20 : a,X19 : a] : ((((X0 @ X20 @ X19)) = $true) & (((X1 @ X20 @ (X16 @ X20) @ (X15 @ X19))) != $true)) & ! [X17 : a,X18 : a] : ((((X0 @ X18 @ X17)) != $true) | ($true = ((X1 @ X18 @ (X15 @ X18) @ (X16 @ X17))))))))),
% 2.71/0.87 inference(flattening,[],[f6])).
% 2.71/0.87 thf(f8,plain,(
% 2.71/0.87 ? [X0 : (a > b > b > $o),X1 : (a > a > $o),X2 : (a > a > $o)] : ((X1 = X2) & ! [X3 : a,X4 : a] : ((((X1 @ X3 @ X4)) = $true) | (((X1 @ X4 @ X3)) != $true)) & ! [X5 : a,X6 : a,X7 : a] : ((((X1 @ X6 @ X5)) != $true) | ($true != ((X1 @ X7 @ X6))) | (((X1 @ X7 @ X5)) = $true)) & ! [X8 : a,X9 : a] : ((! [X10 : b,X11 : b] : ((((X0 @ X8 @ X11 @ X10)) != $true) | (((X0 @ X8 @ X10 @ X11)) = $true)) & ! [X12 : b,X13 : b,X14 : b] : (($true != ((X0 @ X8 @ X12 @ X13))) | (((X0 @ X8 @ X14 @ X13)) = $true) | (((X0 @ X8 @ X14 @ X12)) != $true)) & (((X0 @ X9)) = ((X0 @ X8)))) | (((X1 @ X8 @ X9)) != $true)) & (? [X15 : (a > b),X16 : (a > b),X17 : (a > b)] : (! [X18 : a,X19 : a] : ((((X1 @ X18 @ X19)) != $true) | ($true = ((X0 @ X18 @ (X17 @ X18) @ (X16 @ X19))))) & ! [X20 : a,X21 : a] : ((((X0 @ X21 @ (X16 @ X21) @ (X15 @ X20))) = $true) | (((X1 @ X21 @ X20)) != $true)) & ? [X22 : a,X23 : a] : ((((X1 @ X23 @ X22)) = $true) & ($true != ((X0 @ X23 @ (X17 @ X23) @ (X15 @ X22)))))) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X2 @ Y3 @ Y2) => (X0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X1 @ Y3 @ Y2) => (X0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | ? [X24 : (a > b),X25 : (a > b)] : (? [X26 : a,X27 : a] : (($true = ((X1 @ X26 @ X27))) & (((X0 @ X26 @ (X24 @ X26) @ (X25 @ X27))) != $true)) & ! [X28 : a,X29 : a] : ((((X1 @ X29 @ X28)) != $true) | (((X0 @ X29 @ (X25 @ X29) @ (X24 @ X28))) = $true)))))),
% 2.71/0.87 inference(rectify,[],[f7])).
% 2.71/0.87 thf(f9,plain,(
% 2.71/0.87 (sK2 = sK1) & ! [X3 : a,X4 : a] : ((((sK1 @ X3 @ X4)) = $true) | (((sK1 @ X4 @ X3)) != $true)) & ! [X5 : a,X6 : a,X7 : a] : (($true != ((sK1 @ X6 @ X5))) | (((sK1 @ X7 @ X6)) != $true) | (((sK1 @ X7 @ X5)) = $true)) & ! [X8 : a,X9 : a] : ((! [X10 : b,X11 : b] : ((((sK0 @ X8 @ X11 @ X10)) != $true) | (((sK0 @ X8 @ X10 @ X11)) = $true)) & ! [X12 : b,X13 : b,X14 : b] : ((((sK0 @ X8 @ X12 @ X13)) != $true) | (((sK0 @ X8 @ X14 @ X13)) = $true) | (((sK0 @ X8 @ X14 @ X12)) != $true)) & (((sK0 @ X8)) = ((sK0 @ X9)))) | (((sK1 @ X8 @ X9)) != $true)) & ((! [X18 : a,X19 : a] : ((((sK1 @ X18 @ X19)) != $true) | (((sK0 @ X18 @ (sK5 @ X18) @ (sK4 @ X19))) = $true)) & ! [X20 : a,X21 : a] : ((((sK0 @ X21 @ (sK4 @ X21) @ (sK3 @ X20))) = $true) | (((sK1 @ X21 @ X20)) != $true)) & ((((sK1 @ sK7 @ sK6)) = $true) & (((sK0 @ sK7 @ (sK5 @ sK7) @ (sK3 @ sK6))) != $true))) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | (((((sK1 @ sK10 @ sK11)) = $true) & ($true != ((sK0 @ sK10 @ (sK8 @ sK10) @ (sK9 @ sK11))))) & ! [X28 : a,X29 : a] : ((((sK1 @ X29 @ X28)) != $true) | (((sK0 @ X29 @ (sK9 @ X29) @ (sK8 @ X28))) = $true))))),
% 2.71/0.87 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X15,sK3),skolemize(X16,sK4),skolemize(X17,sK5),skolemize(X22,sK6),skolemize(X23,sK7),skolemize(X24,sK8),skolemize(X25,sK9),skolemize(X26,sK10),skolemize(X27,sK11)],[f8])).
% 2.71/0.87 thf(f10,plain,(
% 2.71/0.87 ( ! [X28 : a,X29 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | (((sK0 @ X29 @ (sK9 @ X29) @ (sK8 @ X28))) = $true) | (((sK0 @ sK7 @ (sK5 @ sK7) @ (sK3 @ sK6))) != $true) | (((sK1 @ X29 @ X28)) != $true)) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f11,plain,(
% 2.71/0.87 ($true != ((sK0 @ sK10 @ (sK8 @ sK10) @ (sK9 @ sK11)))) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | (((sK0 @ sK7 @ (sK5 @ sK7) @ (sK3 @ sK6))) != $true)),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f12,plain,(
% 2.71/0.87 (((sK1 @ sK10 @ sK11)) = $true) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | (((sK0 @ sK7 @ (sK5 @ sK7) @ (sK3 @ sK6))) != $true)),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f13,plain,(
% 2.71/0.87 ( ! [X28 : a,X29 : a] : ((((sK1 @ sK7 @ sK6)) = $true) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | (((sK0 @ X29 @ (sK9 @ X29) @ (sK8 @ X28))) = $true) | (((sK1 @ X29 @ X28)) != $true)) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f14,plain,(
% 2.71/0.87 ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | ($true != ((sK0 @ sK10 @ (sK8 @ sK10) @ (sK9 @ sK11)))) | (((sK1 @ sK7 @ sK6)) = $true)),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f15,plain,(
% 2.71/0.87 ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | (((sK1 @ sK7 @ sK6)) = $true) | (((sK1 @ sK10 @ sK11)) = $true)),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f16,plain,(
% 2.71/0.87 ( ! [X21 : a,X28 : a,X29 : a,X20 : a] : ((((sK1 @ X29 @ X28)) != $true) | (((sK0 @ X29 @ (sK9 @ X29) @ (sK8 @ X28))) = $true) | (((sK1 @ X21 @ X20)) != $true) | (((sK0 @ X21 @ (sK4 @ X21) @ (sK3 @ X20))) = $true) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))))) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f17,plain,(
% 2.71/0.87 ( ! [X21 : a,X20 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | ($true != ((sK0 @ sK10 @ (sK8 @ sK10) @ (sK9 @ sK11)))) | (((sK0 @ X21 @ (sK4 @ X21) @ (sK3 @ X20))) = $true) | (((sK1 @ X21 @ X20)) != $true)) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f18,plain,(
% 2.71/0.87 ( ! [X21 : a,X20 : a] : ((((sK1 @ X21 @ X20)) != $true) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | (((sK1 @ sK10 @ sK11)) = $true) | (((sK0 @ X21 @ (sK4 @ X21) @ (sK3 @ X20))) = $true)) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f19,plain,(
% 2.71/0.87 ( ! [X28 : a,X29 : a,X18 : a,X19 : a] : ((((sK1 @ X29 @ X28)) != $true) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | (((sK0 @ X18 @ (sK5 @ X18) @ (sK4 @ X19))) = $true) | (((sK1 @ X18 @ X19)) != $true) | (((sK0 @ X29 @ (sK9 @ X29) @ (sK8 @ X28))) = $true)) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f20,plain,(
% 2.71/0.87 ( ! [X18 : a,X19 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | ($true != ((sK0 @ sK10 @ (sK8 @ sK10) @ (sK9 @ sK11)))) | (((sK0 @ X18 @ (sK5 @ X18) @ (sK4 @ X19))) = $true) | (((sK1 @ X18 @ X19)) != $true)) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f21,plain,(
% 2.71/0.87 ( ! [X18 : a,X19 : a] : ((((sK0 @ X18 @ (sK5 @ X18) @ (sK4 @ X19))) = $true) | (((sK1 @ X18 @ X19)) != $true) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2))))))))))) | (((sK1 @ sK10 @ sK11)) = $true)) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f22,plain,(
% 2.71/0.87 ( ! [X8 : a,X9 : a] : ((((sK0 @ X8)) = ((sK0 @ X9))) | (((sK1 @ X8 @ X9)) != $true)) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f23,plain,(
% 2.71/0.87 ( ! [X8 : a,X9 : a,X14 : b,X12 : b,X13 : b] : ((((sK0 @ X8 @ X14 @ X13)) = $true) | (((sK0 @ X8 @ X12 @ X13)) != $true) | (((sK1 @ X8 @ X9)) != $true) | (((sK0 @ X8 @ X14 @ X12)) != $true)) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f24,plain,(
% 2.71/0.87 ( ! [X10 : b,X11 : b,X8 : a,X9 : a] : ((((sK0 @ X8 @ X10 @ X11)) = $true) | (((sK1 @ X8 @ X9)) != $true) | (((sK0 @ X8 @ X11 @ X10)) != $true)) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f25,plain,(
% 2.71/0.87 ( ! [X6 : a,X7 : a,X5 : a] : ((((sK1 @ X7 @ X5)) = $true) | ($true != ((sK1 @ X6 @ X5))) | (((sK1 @ X7 @ X6)) != $true)) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f26,plain,(
% 2.71/0.87 ( ! [X3 : a,X4 : a] : ((((sK1 @ X3 @ X4)) = $true) | (((sK1 @ X4 @ X3)) != $true)) )),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f27,plain,(
% 2.71/0.87 (sK2 = sK1)),
% 2.71/0.87 inference(cnf_transformation,[],[f9])).
% 2.71/0.87 thf(f30,definition,(
% 2.71/0.87 spl12_1 <=> ! [X29 : a,X28 : a] : ((((sK0 @ X29 @ (sK9 @ X29) @ (sK8 @ X28))) = $true) | (((sK1 @ X29 @ X28)) != $true))),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition])).
% 2.71/0.87 thf(f31,plain,(
% 2.71/0.87 ( ! [X28 : a,X29 : a] : ((((sK0 @ X29 @ (sK9 @ X29) @ (sK8 @ X28))) = $true) | (((sK1 @ X29 @ X28)) != $true)) ) | ~spl12_1),
% 2.71/0.87 inference(avatar_component_clause,[],[f30])).
% 2.71/0.87 thf(f33,definition,(
% 2.71/0.87 spl12_2 <=> (((sK1 @ sK7 @ sK6)) = $true)),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition])).
% 2.71/0.87 thf(f35,plain,(
% 2.71/0.87 (((sK1 @ sK7 @ sK6)) = $true) | ~spl12_2),
% 2.71/0.87 inference(avatar_component_clause,[],[f33])).
% 2.71/0.87 thf(f37,definition,(
% 2.71/0.87 spl12_3 <=> ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) = (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))))),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition])).
% 2.71/0.87 thf(f40,plain,(
% 2.71/0.87 spl12_1 | spl12_2 | ~spl12_3),
% 2.71/0.87 inference(avatar_split_clause,[],[f13,f37,f33,f30])).
% 2.71/0.87 thf(f42,definition,(
% 2.71/0.87 spl12_4 <=> (sK2 = sK1)),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition])).
% 2.71/0.87 thf(f45,plain,(
% 2.71/0.87 spl12_4),
% 2.71/0.87 inference(avatar_split_clause,[],[f27,f42])).
% 2.71/0.87 thf(f47,definition,(
% 2.71/0.87 spl12_5 <=> ($true = ((sK0 @ sK10 @ (sK8 @ sK10) @ (sK9 @ sK11))))),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition])).
% 2.71/0.87 thf(f49,plain,(
% 2.71/0.87 ($true != ((sK0 @ sK10 @ (sK8 @ sK10) @ (sK9 @ sK11)))) | spl12_5),
% 2.71/0.87 inference(avatar_component_clause,[],[f47])).
% 2.71/0.87 thf(f51,definition,(
% 2.71/0.87 spl12_6 <=> ! [X18 : a,X19 : a] : ((((sK0 @ X18 @ (sK5 @ X18) @ (sK4 @ X19))) = $true) | (((sK1 @ X18 @ X19)) != $true))),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition])).
% 2.71/0.87 thf(f52,plain,(
% 2.71/0.87 ( ! [X18 : a,X19 : a] : ((((sK0 @ X18 @ (sK5 @ X18) @ (sK4 @ X19))) = $true) | (((sK1 @ X18 @ X19)) != $true)) ) | ~spl12_6),
% 2.71/0.87 inference(avatar_component_clause,[],[f51])).
% 2.71/0.87 thf(f53,plain,(
% 2.71/0.87 ~spl12_5 | ~spl12_3 | spl12_6),
% 2.71/0.87 inference(avatar_split_clause,[],[f20,f51,f37,f47])).
% 2.71/0.87 thf(f55,definition,(
% 2.71/0.87 spl12_7 <=> (((sK1 @ sK10 @ sK11)) = $true)),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition])).
% 2.71/0.87 thf(f57,plain,(
% 2.71/0.87 (((sK1 @ sK10 @ sK11)) = $true) | ~spl12_7),
% 2.71/0.87 inference(avatar_component_clause,[],[f55])).
% 2.71/0.87 thf(f59,definition,(
% 2.71/0.87 spl12_8 <=> (((sK0 @ sK7 @ (sK5 @ sK7) @ (sK3 @ sK6))) = $true)),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition])).
% 2.71/0.87 thf(f61,plain,(
% 2.71/0.87 (((sK0 @ sK7 @ (sK5 @ sK7) @ (sK3 @ sK6))) != $true) | spl12_8),
% 2.71/0.87 inference(avatar_component_clause,[],[f59])).
% 2.71/0.87 thf(f62,plain,(
% 2.71/0.87 spl12_7 | ~spl12_3 | ~spl12_8),
% 2.71/0.87 inference(avatar_split_clause,[],[f12,f59,f37,f55])).
% 2.71/0.87 thf(f63,plain,(
% 2.71/0.87 ~spl12_5 | ~spl12_8 | ~spl12_3),
% 2.71/0.87 inference(avatar_split_clause,[],[f11,f37,f59,f47])).
% 2.71/0.87 thf(f65,definition,(
% 2.71/0.87 spl12_9 <=> ! [X20 : a,X21 : a] : ((((sK1 @ X21 @ X20)) != $true) | (((sK0 @ X21 @ (sK4 @ X21) @ (sK3 @ X20))) = $true))),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_9])],[avatar_definition])).
% 2.71/0.87 thf(f66,plain,(
% 2.71/0.87 ( ! [X21 : a,X20 : a] : ((((sK0 @ X21 @ (sK4 @ X21) @ (sK3 @ X20))) = $true) | (((sK1 @ X21 @ X20)) != $true)) ) | ~spl12_9),
% 2.71/0.87 inference(avatar_component_clause,[],[f65])).
% 2.71/0.87 thf(f67,plain,(
% 2.71/0.87 spl12_1 | spl12_9 | ~spl12_3),
% 2.71/0.87 inference(avatar_split_clause,[],[f16,f37,f65,f30])).
% 2.71/0.87 thf(f68,plain,(
% 2.71/0.87 ~spl12_3 | spl12_1 | ~spl12_8),
% 2.71/0.87 inference(avatar_split_clause,[],[f10,f59,f30,f37])).
% 2.71/0.87 thf(f69,plain,(
% 2.71/0.87 spl12_2 | spl12_7 | ~spl12_3),
% 2.71/0.87 inference(avatar_split_clause,[],[f15,f37,f55,f33])).
% 2.71/0.87 thf(f70,plain,(
% 2.71/0.87 spl12_9 | ~spl12_5 | ~spl12_3),
% 2.71/0.87 inference(avatar_split_clause,[],[f17,f37,f47,f65])).
% 2.71/0.87 thf(f71,plain,(
% 2.71/0.87 ~spl12_5 | spl12_2 | ~spl12_3),
% 2.71/0.87 inference(avatar_split_clause,[],[f14,f37,f33,f47])).
% 2.71/0.87 thf(f72,plain,(
% 2.71/0.87 ~spl12_3 | spl12_9 | spl12_7),
% 2.71/0.87 inference(avatar_split_clause,[],[f18,f55,f65,f37])).
% 2.71/0.87 thf(f73,plain,(
% 2.71/0.87 spl12_7 | spl12_6 | ~spl12_3),
% 2.71/0.87 inference(avatar_split_clause,[],[f21,f37,f51,f55])).
% 2.71/0.87 thf(f74,plain,(
% 2.71/0.87 ~spl12_3 | spl12_1 | spl12_6),
% 2.71/0.87 inference(avatar_split_clause,[],[f19,f51,f30,f37])).
% 2.71/0.87 thf(f75,definition,(
% 2.71/0.87 (sK2 != sK1) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK2 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))) = (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y3 @ Y2) => (sK0 @ Y3 @ (Y0 @ Y3) @ (Y1 @ Y2)))))))))))),
% 2.71/0.87 introduced(theory,[theory_tautology_sat_conflict])).
% 2.71/0.87 thf(f77,plain,(
% 2.71/0.87 ( ! [X10 : b,X8 : a,X9 : a] : ((((sK0 @ X8 @ X10)) = ((sK0 @ X9 @ X10))) | (((sK1 @ X8 @ X9)) != $true)) )),
% 2.71/0.87 inference(argument_congruence,[],[f22])).
% 2.71/0.87 thf(f82,plain,(
% 2.71/0.87 ( ! [X0 : a] : (($true != $true) | (((sK1 @ sK10 @ X0)) != $true) | (((sK0 @ sK10 @ (sK9 @ sK11) @ (sK8 @ sK10))) != $true)) ) | spl12_5),
% 2.71/0.87 inference(superposition,[],[f49,f24])).
% 2.71/0.87 thf(f83,plain,(
% 2.71/0.87 ( ! [X0 : a] : ((((sK1 @ sK10 @ X0)) != $true) | (((sK0 @ sK10 @ (sK9 @ sK11) @ (sK8 @ sK10))) != $true)) ) | spl12_5),
% 2.71/0.87 inference(trivial_inequality_removal,[],[f82])).
% 2.71/0.87 thf(f85,definition,(
% 2.71/0.87 spl12_10 <=> ! [X0 : a] : (((sK1 @ sK10 @ X0)) != $true)),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_10])],[avatar_definition])).
% 2.71/0.87 thf(f86,plain,(
% 2.71/0.87 ( ! [X0 : a] : ((((sK1 @ sK10 @ X0)) != $true)) ) | ~spl12_10),
% 2.71/0.87 inference(avatar_component_clause,[],[f85])).
% 2.71/0.87 thf(f88,definition,(
% 2.71/0.87 spl12_11 <=> (((sK0 @ sK10 @ (sK9 @ sK11) @ (sK8 @ sK10))) = $true)),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition])).
% 2.71/0.87 thf(f90,plain,(
% 2.71/0.87 (((sK0 @ sK10 @ (sK9 @ sK11) @ (sK8 @ sK10))) != $true) | spl12_11),
% 2.71/0.87 inference(avatar_component_clause,[],[f88])).
% 2.71/0.87 thf(f91,plain,(
% 2.71/0.87 spl12_10 | ~spl12_11 | spl12_5),
% 2.71/0.87 inference(avatar_split_clause,[],[f83,f47,f88,f85])).
% 2.71/0.87 thf(f101,plain,(
% 2.71/0.87 ( ! [X10 : b,X11 : b,X8 : a,X9 : a] : ((((sK1 @ X8 @ X9)) != $true) | (((sK0 @ X9 @ X10 @ X11)) = ((sK0 @ X8 @ X10 @ X11)))) )),
% 2.71/0.87 inference(argument_congruence,[],[f77])).
% 2.71/0.87 thf(f107,plain,(
% 2.71/0.87 ( ! [X10 : b,X11 : b,X8 : a,X9 : a] : (($false = ((sK0 @ X9 @ X10 @ X11))) | (((sK0 @ X8 @ X10 @ X11)) = $true) | (((sK1 @ X8 @ X9)) != $true)) )),
% 2.71/0.87 inference(iff_proxy_clausification,[],[f101])).
% 2.71/0.87 thf(f121,plain,(
% 2.71/0.87 ($true != $true) | (~spl12_7 | ~spl12_10)),
% 2.71/0.87 inference(superposition,[],[f86,f57])).
% 2.71/0.87 thf(f124,plain,(
% 2.71/0.87 $false | (~spl12_7 | ~spl12_10)),
% 2.71/0.87 inference(trivial_inequality_removal,[],[f121])).
% 2.71/0.87 thf(f125,plain,(
% 2.71/0.87 ~spl12_7 | ~spl12_10),
% 2.71/0.87 inference(avatar_contradiction_clause,[],[f124])).
% 2.71/0.87 thf(f301,plain,(
% 2.71/0.87 ( ! [X0 : b,X1 : a] : ((((sK0 @ sK7 @ (sK5 @ sK7) @ X0)) != $true) | (((sK1 @ sK7 @ X1)) != $true) | (((sK0 @ sK7 @ X0 @ (sK3 @ sK6))) != $true) | ($true != $true)) ) | spl12_8),
% 2.71/0.87 inference(superposition,[],[f61,f23])).
% 2.71/0.87 thf(f304,plain,(
% 2.71/0.87 ( ! [X0 : b,X1 : a] : ((((sK1 @ sK7 @ X1)) != $true) | (((sK0 @ sK7 @ X0 @ (sK3 @ sK6))) != $true) | (((sK0 @ sK7 @ (sK5 @ sK7) @ X0)) != $true)) ) | spl12_8),
% 2.71/0.87 inference(trivial_inequality_removal,[],[f301])).
% 2.71/0.87 thf(f310,definition,(
% 2.71/0.87 spl12_17 <=> ! [X0 : a] : ($true != ((sK1 @ sK7 @ X0)))),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_17])],[avatar_definition])).
% 2.71/0.87 thf(f311,plain,(
% 2.71/0.87 ( ! [X0 : a] : (($true != ((sK1 @ sK7 @ X0)))) ) | ~spl12_17),
% 2.71/0.87 inference(avatar_component_clause,[],[f310])).
% 2.71/0.87 thf(f314,definition,(
% 2.71/0.87 spl12_18 <=> ! [X0 : b] : ((((sK0 @ sK7 @ X0 @ (sK3 @ sK6))) != $true) | (((sK0 @ sK7 @ (sK5 @ sK7) @ X0)) != $true))),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_18])],[avatar_definition])).
% 2.71/0.87 thf(f315,plain,(
% 2.71/0.87 ( ! [X0 : b] : ((((sK0 @ sK7 @ (sK5 @ sK7) @ X0)) != $true) | (((sK0 @ sK7 @ X0 @ (sK3 @ sK6))) != $true)) ) | ~spl12_18),
% 2.71/0.87 inference(avatar_component_clause,[],[f314])).
% 2.71/0.87 thf(f316,plain,(
% 2.71/0.87 spl12_18 | spl12_17 | spl12_8),
% 2.71/0.87 inference(avatar_split_clause,[],[f304,f59,f310,f314])).
% 2.71/0.87 thf(f532,plain,(
% 2.71/0.87 $false | (~spl12_2 | ~spl12_17)),
% 2.71/0.87 inference(forward_subsumption_resolution,[],[f35,f311])).
% 2.71/0.87 thf(f533,plain,(
% 2.71/0.87 ~spl12_2 | ~spl12_17),
% 2.71/0.87 inference(avatar_contradiction_clause,[],[f532])).
% 2.71/0.87 thf(f1176,plain,(
% 2.71/0.87 ( ! [X2 : a,X0 : a,X1 : a] : ((((sK1 @ X0 @ X1)) != $true) | (((sK1 @ X2 @ X0)) != $true) | ($true = ((sK0 @ X2 @ (sK9 @ X0) @ (sK8 @ X1)))) | ($false = $true)) ) | ~spl12_1),
% 2.71/0.87 inference(superposition,[],[f107,f31])).
% 2.71/0.87 thf(f1184,plain,(
% 2.71/0.87 ( ! [X2 : a,X0 : a,X1 : a] : ((((sK0 @ X2 @ (sK5 @ X0) @ (sK4 @ X1))) = $true) | (((sK1 @ X0 @ X1)) != $true) | (((sK1 @ X2 @ X0)) != $true) | ($false = $true)) ) | ~spl12_6),
% 2.71/0.87 inference(superposition,[],[f52,f107])).
% 2.71/0.87 thf(f1193,plain,(
% 2.71/0.87 ( ! [X2 : a,X0 : a,X1 : a] : ((((sK0 @ X2 @ (sK5 @ X0) @ (sK4 @ X1))) = $true) | (((sK1 @ X2 @ X0)) != $true) | (((sK1 @ X0 @ X1)) != $true)) ) | ~spl12_6),
% 2.71/0.87 inference(trivial_inequality_removal,[],[f1184])).
% 2.71/0.87 thf(f1194,plain,(
% 2.71/0.87 ( ! [X2 : a,X0 : a,X1 : a] : (($true = ((sK0 @ X2 @ (sK9 @ X0) @ (sK8 @ X1)))) | (((sK1 @ X0 @ X1)) != $true) | (((sK1 @ X2 @ X0)) != $true)) ) | ~spl12_1),
% 2.71/0.87 inference(trivial_inequality_removal,[],[f1176])).
% 2.71/0.87 thf(f1210,plain,(
% 2.71/0.87 ( ! [X0 : a] : ((((sK0 @ sK7 @ (sK4 @ X0) @ (sK3 @ sK6))) != $true) | ($true != $true) | ($true != ((sK1 @ sK7 @ X0)))) ) | (~spl12_6 | ~spl12_18)),
% 2.71/0.87 inference(superposition,[],[f315,f52])).
% 2.71/0.87 thf(f1219,plain,(
% 2.71/0.87 ( ! [X0 : a] : ((((sK0 @ sK7 @ (sK4 @ X0) @ (sK3 @ sK6))) != $true) | ($true != ((sK1 @ sK7 @ X0)))) ) | (~spl12_6 | ~spl12_18)),
% 2.71/0.87 inference(trivial_inequality_removal,[],[f1210])).
% 2.71/0.87 thf(f1229,definition,(
% 2.71/0.87 spl12_25 <=> (((sK1 @ sK7 @ sK7)) = $true)),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_25])],[avatar_definition])).
% 2.71/0.87 thf(f1231,plain,(
% 2.71/0.87 (((sK1 @ sK7 @ sK7)) != $true) | spl12_25),
% 2.71/0.87 inference(avatar_component_clause,[],[f1229])).
% 2.71/0.87 thf(f1233,definition,(
% 2.71/0.87 spl12_26 <=> ! [X0 : a] : ((((sK0 @ sK7 @ (sK4 @ X0) @ (sK3 @ sK6))) != $true) | ($true != ((sK1 @ sK7 @ X0))))),
% 2.71/0.87 introduced(definition,[new_symbols(definition,[spl12_26])],[avatar_definition])).
% 2.71/0.87 thf(f1234,plain,(
% 2.71/0.87 ( ! [X0 : a] : ((((sK0 @ sK7 @ (sK4 @ X0) @ (sK3 @ sK6))) != $true) | ($true != ((sK1 @ sK7 @ X0)))) ) | ~spl12_26),
% 2.71/0.87 inference(avatar_component_clause,[],[f1233])).
% 2.71/0.87 thf(f1236,plain,(
% 2.71/0.87 spl12_26 | ~spl12_6 | ~spl12_18),
% 2.71/0.87 inference(avatar_split_clause,[],[f1219,f314,f51,f1233])).
% 2.71/0.87 thf(f1826,plain,(
% 2.71/0.87 ( ! [X0 : a] : ((((sK1 @ sK7 @ sK7)) != $true) | ($true != $true) | (((sK0 @ sK7 @ (sK4 @ X0) @ (sK3 @ sK6))) != $true) | ($true != ((sK1 @ sK7 @ X0)))) ) | (~spl12_6 | ~spl12_18)),
% 2.71/0.87 inference(superposition,[],[f315,f1193])).
% 2.71/0.87 thf(f1830,plain,(
% 2.71/0.87 ( ! [X0 : a] : ((((sK0 @ sK7 @ (sK4 @ X0) @ (sK3 @ sK6))) != $true) | ($true != ((sK1 @ sK7 @ X0))) | (((sK1 @ sK7 @ sK7)) != $true)) ) | (~spl12_6 | ~spl12_18)),
% 2.71/0.87 inference(trivial_inequality_removal,[],[f1826])).
% 2.71/0.87 thf(f1833,plain,(
% 2.71/0.87 ~spl12_25 | spl12_26 | ~spl12_6 | ~spl12_18),
% 2.71/0.87 inference(avatar_split_clause,[],[f1830,f314,f51,f1233,f1229])).
% 2.71/0.87 thf(f1837,plain,(
% 2.71/0.87 (((sK1 @ sK10 @ sK11)) != $true) | ($true != $true) | (((sK1 @ sK11 @ sK10)) != $true) | (~spl12_1 | spl12_11)),
% 2.71/0.87 inference(superposition,[],[f90,f1194])).
% 2.71/0.87 thf(f1843,plain,(
% 2.71/0.87 (((sK1 @ sK11 @ sK10)) != $true) | (((sK1 @ sK10 @ sK11)) != $true) | (~spl12_1 | spl12_11)),
% 2.71/0.87 inference(trivial_inequality_removal,[],[f1837])).
% 2.71/0.87 thf(f2099,plain,(
% 2.71/0.87 (((sK1 @ sK7 @ sK6)) != $true) | ($true != $true) | (((sK1 @ sK7 @ sK7)) != $true) | (~spl12_9 | ~spl12_26)),
% 2.71/0.87 inference(superposition,[],[f1234,f66])).
% 2.71/0.87 thf(f2111,plain,(
% 2.71/0.87 (((sK1 @ sK7 @ sK6)) != $true) | (((sK1 @ sK7 @ sK7)) != $true) | (~spl12_9 | ~spl12_26)),
% 2.71/0.87 inference(trivial_inequality_removal,[],[f2099])).
% 2.71/0.87 thf(f2120,plain,(
% 2.71/0.87 (((sK1 @ sK7 @ sK7)) != $true) | (~spl12_2 | ~spl12_9 | ~spl12_26)),
% 2.71/0.87 inference(forward_subsumption_resolution,[],[f2111,f35])).
% 2.71/0.87 thf(f2121,plain,(
% 2.71/0.87 ~spl12_25 | ~spl12_2 | ~spl12_9 | ~spl12_26),
% 2.71/0.87 inference(avatar_split_clause,[],[f2120,f1233,f65,f33,f1229])).
% 2.71/0.87 thf(f2237,plain,(
% 2.71/0.87 ( ! [X0 : a] : (($true != ((sK1 @ sK7 @ X0))) | ($true != ((sK1 @ X0 @ sK7))) | ($true != $true)) ) | spl12_25),
% 2.71/0.87 inference(superposition,[],[f1231,f25])).
% 2.71/0.87 thf(f2239,plain,(
% 2.71/0.87 ( ! [X0 : a] : (($true != ((sK1 @ X0 @ sK7))) | ($true != ((sK1 @ sK7 @ X0)))) ) | spl12_25),
% 2.71/0.87 inference(trivial_inequality_removal,[],[f2237])).
% 2.71/0.87 thf(f2241,plain,(
% 2.71/0.87 ( ! [X0 : a] : (($true != ((sK1 @ sK7 @ X0)))) ) | spl12_25),
% 2.71/0.87 inference(forward_subsumption_resolution,[],[f2239,f26])).
% 2.71/0.87 thf(f2242,plain,(
% 2.71/0.87 spl12_17 | spl12_25),
% 2.71/0.87 inference(avatar_split_clause,[],[f2241,f1229,f310])).
% 2.71/0.87 thf(f2253,plain,(
% 2.71/0.87 (((sK1 @ sK10 @ sK11)) != $true) | (~spl12_1 | spl12_11)),
% 2.71/0.87 inference(forward_subsumption_resolution,[],[f1843,f26])).
% 2.71/0.87 thf(f2254,plain,(
% 2.71/0.87 ~spl12_7 | ~spl12_1 | spl12_11),
% 2.71/0.87 inference(avatar_split_clause,[],[f2253,f88,f30,f55])).
% 2.71/0.87 cnf(s1, plain, spl12_1 | spl12_2 | ~spl12_3, inference(sat_conversion,[],[f40])).
% 2.71/0.87 cnf(s2, plain, spl12_4, inference(sat_conversion,[],[f45])).
% 2.71/0.87 cnf(s3, plain, ~spl12_3 | ~spl12_5 | spl12_6, inference(sat_conversion,[],[f53])).
% 2.71/0.87 cnf(s4, plain, ~spl12_3 | spl12_7 | ~spl12_8, inference(sat_conversion,[],[f62])).
% 2.71/0.87 cnf(s5, plain, ~spl12_3 | ~spl12_5 | ~spl12_8, inference(sat_conversion,[],[f63])).
% 2.71/0.87 cnf(s6, plain, spl12_1 | ~spl12_3 | spl12_9, inference(sat_conversion,[],[f67])).
% 2.71/0.87 cnf(s7, plain, spl12_1 | ~spl12_3 | ~spl12_8, inference(sat_conversion,[],[f68])).
% 2.71/0.87 cnf(s8, plain, spl12_2 | ~spl12_3 | spl12_7, inference(sat_conversion,[],[f69])).
% 2.71/0.87 cnf(s9, plain, ~spl12_3 | ~spl12_5 | spl12_9, inference(sat_conversion,[],[f70])).
% 2.71/0.87 cnf(s10, plain, spl12_2 | ~spl12_3 | ~spl12_5, inference(sat_conversion,[],[f71])).
% 2.71/0.87 cnf(s11, plain, ~spl12_3 | spl12_7 | spl12_9, inference(sat_conversion,[],[f72])).
% 2.71/0.87 cnf(s12, plain, ~spl12_3 | spl12_6 | spl12_7, inference(sat_conversion,[],[f73])).
% 2.71/0.87 cnf(s13, plain, spl12_1 | ~spl12_3 | spl12_6, inference(sat_conversion,[],[f74])).
% 2.71/0.87 cnf(s14, plain, spl12_3 | ~spl12_4, inference(sat_conversion,[],[f75])).
% 2.71/0.87 cnf(s15, plain, spl12_5 | spl12_10 | ~spl12_11, inference(sat_conversion,[],[f91])).
% 2.71/0.87 cnf(s17, plain, ~spl12_7 | ~spl12_10, inference(sat_conversion,[],[f125])).
% 2.71/0.87 cnf(s26, plain, spl12_8 | spl12_17 | spl12_18, inference(sat_conversion,[],[f316])).
% 2.71/0.87 cnf(s29, plain, ~spl12_2 | ~spl12_17, inference(sat_conversion,[],[f533])).
% 2.71/0.87 cnf(s40, plain, ~spl12_6 | ~spl12_18 | spl12_26, inference(sat_conversion,[],[f1236])).
% 2.71/0.87 cnf(s48, plain, ~spl12_6 | ~spl12_18 | ~spl12_25 | spl12_26, inference(sat_conversion,[],[f1833])).
% 2.71/0.87 cnf(s58, plain, ~spl12_2 | ~spl12_9 | ~spl12_25 | ~spl12_26, inference(sat_conversion,[],[f2121])).
% 2.71/0.87 cnf(s59, plain, spl12_17 | spl12_25, inference(sat_conversion,[],[f2242])).
% 2.71/0.87 cnf(s64, plain, ~spl12_1 | ~spl12_7 | spl12_11, inference(sat_conversion,[],[f2254])).
% 2.71/0.87 cnf(s65, plain, spl12_3, inference(rat,[],[s14,s2])).
% 2.71/0.87 cnf(s66, plain, spl12_1 | spl12_2, inference(rat,[],[s1,s65])).
% 2.71/0.87 cnf(s67, plain, spl12_1, inference(rat,[],[s48,s58,s26,s59,s29,s66,s6,s7,s13,s65])).
% 2.71/0.87 cnf(s68, plain, spl12_2, inference(rat,[],[s15,s64,s17,s8,s10,s67,s65])).
% 2.71/0.87 cnf(s70, plain, ~spl12_17, inference(rat,[],[s29,s68])).
% 2.71/0.87 cnf(s73, plain, spl12_25, inference(rat,[],[s59,s70])).
% 2.71/0.87 cnf(s74, plain, ~spl12_7 | spl12_5, inference(rat,[],[s15,s64,s17,s67])).
% 2.71/0.87 cnf(s75, plain, spl12_7, inference(rat,[],[s12,s40,s26,s58,s4,s11,s65,s70,s73,s68])).
% 2.71/0.87 cnf(s80, plain, spl12_5, inference(rat,[],[s74,s75])).
% 2.71/0.87 cnf(s81, plain, spl12_9, inference(rat,[],[s9,s65,s80])).
% 2.71/0.87 cnf(s82, plain, ~spl12_8, inference(rat,[],[s5,s65,s80])).
% 2.71/0.87 cnf(s83, plain, spl12_6, inference(rat,[],[s3,s65,s80])).
% 2.71/0.87 cnf(s84, plain, ~spl12_26, inference(rat,[],[s58,s68,s73,s81])).
% 2.71/0.87 cnf(s85, plain, spl12_18, inference(rat,[],[s26,s70,s82])).
% 2.71/0.87 cnf(s87, plain, $false, inference(rat,[],[s40,s85,s84,s83])).
% 2.71/0.87 thf(f2255,plain,(
% 2.71/0.87 $false),
% 2.71/0.87 inference(avatar_sat_refutation,[],[s87])).
% 2.71/0.87 % SZS output end Proof for theBenchmark
% 2.71/0.87 % (2971997)------------------------------
% 2.71/0.87 % (2971997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.87 % (2971997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.87 % (2971997)CaDiCaL version: 2.1.3
% 2.71/0.87 % (2971997)Termination reason: Refutation
% 2.71/0.87 % (2971997)Time elapsed: 0.458 s
% 2.71/0.87 % (2971997)Peak memory usage: 14 MB
% 2.71/0.87 % (2971997)Instructions burned: 610 (million)
% 2.71/0.87 % (2971989)Success in time 0.499 s
% 2.71/0.87 % Vampire exiting
%------------------------------------------------------------------------------