%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP036^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:03 AM UTC 2026
% Result : Theorem 1.11s 0.49s
% Output : Refutation 1.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP036^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n006.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 19:39:41 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.22/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/0.43 % (1212114)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.31/0.43 % (1212124)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3685858467:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.31/0.43 % (1212125)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.31/0.43 % (1212125)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
% 0.31/0.43 % (1212119)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3289815132:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.31/0.43 % (1212121)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=937247670:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.31/0.43 % (1212120)lrs+10_16_si=on:nwc=1.5:random_seed=642760885:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.31/0.43 % (1212122)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=701932976: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)
% 0.31/0.43 % (1212123)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4121503892:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.31/0.43 % (1212125)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=524789638:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.31/0.43 % (1212121)Instruction limit reached!
% 0.31/0.43 % (1212121)------------------------------
% 0.31/0.43 % (1212121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.43 % (1212121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.43 % (1212121)CaDiCaL version: 2.1.3
% 0.31/0.43 % (1212121)Termination reason: Instruction limit
% 0.31/0.43 % (1212121)Termination phase: shuffling
% 0.31/0.43 % (1212121)Time elapsed: 0.002 s
% 0.31/0.43 % (1212121)Peak memory usage: 10 MB
% 0.31/0.43 % (1212121)Instructions burned: 4 (million)
% 0.31/0.43 % (1212120)Instruction limit reached!
% 0.31/0.43 % (1212120)------------------------------
% 0.31/0.43 % (1212120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.43 % (1212120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.43 % (1212120)CaDiCaL version: 2.1.3
% 0.31/0.43 % (1212120)Termination reason: Instruction limit
% 0.31/0.43 % (1212120)Termination phase: shuffling
% 0.31/0.43 % (1212120)Time elapsed: 0.009 s
% 0.31/0.43 % (1212120)Peak memory usage: 10 MB
% 0.31/0.43 % (1212120)Instructions burned: 18 (million)
% 0.31/0.43 % (1212123)Instruction limit reached!
% 0.31/0.43 % (1212123)------------------------------
% 0.31/0.43 % (1212123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.43 % (1212123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.43 % (1212123)CaDiCaL version: 2.1.3
% 0.31/0.43 % (1212123)Termination reason: Instruction limit
% 0.31/0.43 % (1212123)Termination phase: shuffling
% 0.31/0.43 % (1212123)Time elapsed: 0.011 s
% 0.31/0.43 % (1212123)Peak memory usage: 10 MB
% 0.31/0.43 % (1212123)Instructions burned: 24 (million)
% 0.31/0.43 % (1212124)Instruction limit reached!
% 0.31/0.43 % (1212124)------------------------------
% 0.31/0.43 % (1212124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.43 % (1212124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.43 % (1212124)CaDiCaL version: 2.1.3
% 0.31/0.43 % (1212124)Termination reason: Instruction limit
% 0.31/0.43 % (1212124)Termination phase: Preprocessing 3
% 0.31/0.43 % (1212124)Time elapsed: 0.020 s
% 0.31/0.43 % (1212124)Peak memory usage: 12 MB
% 0.31/0.43 % (1212124)Instructions burned: 77 (million)
% 0.31/0.43 % (1212133)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2360160790:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.43 % (1212136)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3454783324:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.11/0.47 % (1212133)Instruction limit reached!
% 1.11/0.47 % (1212133)------------------------------
% 1.11/0.47 % (1212133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.47 % (1212133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.47 % (1212133)CaDiCaL version: 2.1.3
% 1.11/0.47 % (1212133)Termination reason: Instruction limit
% 1.11/0.47 % (1212133)Termination phase: shuffling
% 1.11/0.47 % (1212133)Time elapsed: 0.002 s
% 1.11/0.47 % (1212133)Peak memory usage: 10 MB
% 1.11/0.47 % (1212133)Instructions burned: 3 (million)
% 1.11/0.47 % (1212136)Instruction limit reached!
% 1.11/0.47 % (1212136)------------------------------
% 1.11/0.47 % (1212136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.47 % (1212136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.47 % (1212136)CaDiCaL version: 2.1.3
% 1.11/0.47 % (1212136)Termination reason: Instruction limit
% 1.11/0.47 % (1212136)Termination phase: shuffling
% 1.11/0.47 % (1212136)Time elapsed: 0.003 s
% 1.11/0.47 % (1212136)Peak memory usage: 10 MB
% 1.11/0.47 % (1212136)Instructions burned: 12 (million)
% 1.11/0.47 % (1212135)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.11/0.47 % (1212134)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1554624592:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.11/0.47 % (1212135)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2985268611:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.11/0.47 % (1212134)Instruction limit reached!
% 1.11/0.47 % (1212134)------------------------------
% 1.11/0.47 % (1212134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.47 % (1212134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.47 % (1212134)CaDiCaL version: 2.1.3
% 1.11/0.47 % (1212134)Termination reason: Instruction limit
% 1.11/0.47 % (1212134)Termination phase: shuffling
% 1.11/0.47 % (1212134)Time elapsed: 0.003 s
% 1.11/0.47 % (1212134)Peak memory usage: 10 MB
% 1.11/0.47 % (1212134)Instructions burned: 6 (million)
% 1.11/0.47 % (1212135)Instruction limit reached!
% 1.11/0.47 % (1212135)------------------------------
% 1.11/0.47 % (1212135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.47 % (1212135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.47 % (1212135)CaDiCaL version: 2.1.3
% 1.11/0.47 % (1212135)Termination reason: Instruction limit
% 1.11/0.47 % (1212135)Termination phase: shuffling
% 1.11/0.47 % (1212135)Time elapsed: 0.004 s
% 1.11/0.47 % (1212135)Peak memory usage: 10 MB
% 1.11/0.47 % (1212135)Instructions burned: 8 (million)
% 1.11/0.47 % (1212140)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=1874350683:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.11/0.47 % (1212139)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
% 1.11/0.47 % (1212139)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.11/0.47 % (1212119)Instruction limit reached!
% 1.11/0.47 % (1212119)------------------------------
% 1.11/0.47 % (1212119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.47 % (1212119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.47 % (1212119)CaDiCaL version: 2.1.3
% 1.11/0.47 % (1212119)Termination reason: Instruction limit
% 1.11/0.47 % (1212119)Termination phase: Property scanning
% 1.11/0.47 % (1212119)Time elapsed: 0.043 s
% 1.11/0.47 % (1212119)Peak memory usage: 12 MB
% 1.11/0.47 % (1212119)Instructions burned: 89 (million)
% 1.11/0.47 % (1212139)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2728686538:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.11/0.47 % (1212143)lrs+10_1_si=on:cs=on:random_seed=3592571462:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.11/0.47 % (1212144)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.11/0.49 % (1212144)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=1624464063:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.11/0.49 % (1212143)Instruction limit reached!
% 1.11/0.49 % (1212143)------------------------------
% 1.11/0.49 % (1212143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212143)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212143)Termination reason: Instruction limit
% 1.11/0.49 % (1212143)Termination phase: shuffling
% 1.11/0.49 % (1212143)Time elapsed: 0.004 s
% 1.11/0.49 % (1212143)Peak memory usage: 10 MB
% 1.11/0.49 % (1212143)Instructions burned: 8 (million)
% 1.11/0.49 % (1212144)Instruction limit reached!
% 1.11/0.49 % (1212144)------------------------------
% 1.11/0.49 % (1212144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212144)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212144)Termination reason: Instruction limit
% 1.11/0.49 % (1212144)Termination phase: shuffling
% 1.11/0.49 % (1212144)Time elapsed: 0.002 s
% 1.11/0.49 % (1212144)Peak memory usage: 10 MB
% 1.11/0.49 % (1212144)Instructions burned: 3 (million)
% 1.11/0.49 % (1212139)Instruction limit reached!
% 1.11/0.49 % (1212139)------------------------------
% 1.11/0.49 % (1212139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212139)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212139)Termination reason: Instruction limit
% 1.11/0.49 % (1212139)Termination phase: shuffling
% 1.11/0.49 % (1212139)Time elapsed: 0.014 s
% 1.11/0.49 % (1212139)Peak memory usage: 10 MB
% 1.11/0.49 % (1212139)Instructions burned: 30 (million)
% 1.11/0.49 % (1212140)Instruction limit reached!
% 1.11/0.49 % (1212140)------------------------------
% 1.11/0.49 % (1212140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212140)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212140)Termination reason: Instruction limit
% 1.11/0.49 % (1212140)Termination phase: Preprocessing 1
% 1.11/0.49 % (1212140)Time elapsed: 0.022 s
% 1.11/0.49 % (1212140)Peak memory usage: 11 MB
% 1.11/0.49 % (1212140)Instructions burned: 91 (million)
% 1.11/0.49 % (1212146)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3544189441:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.11/0.49 % (1212153)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4180546068:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.11/0.49 % (1212150)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3888240069:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.11/0.49 % (1212151)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=375002795:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.11/0.49 % (1212125)Instruction limit reached!
% 1.11/0.49 % (1212125)------------------------------
% 1.11/0.49 % (1212125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212125)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212125)Termination reason: Instruction limit
% 1.11/0.49 % (1212125)Termination phase: Saturation
% 1.11/0.49 % (1212125)Time elapsed: 0.077 s
% 1.11/0.49 % (1212125)Peak memory usage: 14 MB
% 1.11/0.49 % (1212125)Instructions burned: 157 (million)
% 1.11/0.49 % (1212152)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2276412636:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.11/0.49 % (1212146)Instruction limit reached!
% 1.11/0.49 % (1212146)------------------------------
% 1.11/0.49 % (1212146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212146)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212146)Termination reason: Instruction limit
% 1.11/0.49 % (1212146)Termination phase: Property scanning
% 1.11/0.49 % (1212146)Time elapsed: 0.020 s
% 1.11/0.49 % (1212146)Peak memory usage: 11 MB
% 1.11/0.49 % (1212146)Instructions burned: 45 (million)
% 1.11/0.49 % (1212152)Instruction limit reached!
% 1.11/0.49 % (1212152)------------------------------
% 1.11/0.49 % (1212152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212152)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212152)Termination reason: Instruction limit
% 1.11/0.49 % (1212152)Termination phase: shuffling
% 1.11/0.49 % (1212152)Time elapsed: 0.007 s
% 1.11/0.49 % (1212152)Peak memory usage: 10 MB
% 1.11/0.49 % (1212152)Instructions burned: 14 (million)
% 1.11/0.49 % (1212151)Instruction limit reached!
% 1.11/0.49 % (1212151)------------------------------
% 1.11/0.49 % (1212151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212151)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212151)Termination reason: Instruction limit
% 1.11/0.49 % (1212151)Termination phase: shuffling
% 1.11/0.49 % (1212151)Time elapsed: 0.011 s
% 1.11/0.49 % (1212151)Peak memory usage: 10 MB
% 1.11/0.49 % (1212151)Instructions burned: 25 (million)
% 1.11/0.49 % (1212159)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=464069082:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.11/0.49 % (1212160)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3407662004:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.11/0.49 % (1212161)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3858116904:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.11/0.49 % (1212160)Instruction limit reached!
% 1.11/0.49 % (1212160)------------------------------
% 1.11/0.49 % (1212160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212160)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212160)Termination reason: Instruction limit
% 1.11/0.49 % (1212160)Termination phase: shuffling
% 1.11/0.49 % (1212160)Time elapsed: 0.002 s
% 1.11/0.49 % (1212160)Peak memory usage: 10 MB
% 1.11/0.49 % (1212160)Instructions burned: 4 (million)
% 1.11/0.49 % (1212159)Instruction limit reached!
% 1.11/0.49 % (1212159)------------------------------
% 1.11/0.49 % (1212159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212159)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212159)Termination reason: Instruction limit
% 1.11/0.49 % (1212159)Termination phase: shuffling
% 1.11/0.49 % (1212159)Time elapsed: 0.007 s
% 1.11/0.49 % (1212159)Peak memory usage: 10 MB
% 1.11/0.49 % (1212159)Instructions burned: 14 (million)
% 1.11/0.49 % (1212162)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3858180363:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.11/0.49 % (1212161)Instruction limit reached!
% 1.11/0.49 % (1212161)------------------------------
% 1.11/0.49 % (1212161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212161)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212161)Termination reason: Instruction limit
% 1.11/0.49 % (1212161)Termination phase: shuffling
% 1.11/0.49 % (1212161)Time elapsed: 0.012 s
% 1.11/0.49 % (1212161)Peak memory usage: 11 MB
% 1.11/0.49 % (1212161)Instructions burned: 27 (million)
% 1.11/0.49 % (1212162)Instruction limit reached!
% 1.11/0.49 % (1212162)------------------------------
% 1.11/0.49 % (1212162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212162)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212162)Termination reason: Instruction limit
% 1.11/0.49 % (1212162)Termination phase: shuffling
% 1.11/0.49 % (1212162)Time elapsed: 0.010 s
% 1.11/0.49 % (1212162)Peak memory usage: 11 MB
% 1.11/0.49 % (1212162)Instructions burned: 23 (million)
% 1.11/0.49 % (1212167)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
% 1.11/0.49 % (1212167)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.11/0.49 % (1212166)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2704968101:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.11/0.49 % (1212167)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=1741550760:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.11/0.49 % (1212167)Instruction limit reached!
% 1.11/0.49 % (1212167)------------------------------
% 1.11/0.49 % (1212167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212167)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212167)Termination reason: Instruction limit
% 1.11/0.49 % (1212167)Termination phase: shuffling
% 1.11/0.49 % (1212167)Time elapsed: 0.007 s
% 1.11/0.49 % (1212167)Peak memory usage: 10 MB
% 1.11/0.49 % (1212167)Instructions burned: 15 (million)
% 1.11/0.49 % (1212169)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.11/0.49 % (1212169)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=4112984042:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.11/0.49 % (1212150) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1212114-1212150"...
% 1.11/0.49 % (1212170)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=602734714:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.11/0.49 % (1212150)...printing done.
% 1.11/0.49 % (1212169)Instruction limit reached!
% 1.11/0.49 % (1212169)------------------------------
% 1.11/0.49 % (1212169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212169)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212169)Termination reason: Instruction limit
% 1.11/0.49 % (1212169)Termination phase: shuffling
% 1.11/0.49 % (1212169)Time elapsed: 0.004 s
% 1.11/0.49 % (1212169)Peak memory usage: 10 MB
% 1.11/0.49 % (1212169)Instructions burned: 8 (million)
% 1.11/0.49 % (1212150)Refutation found. Thanks to Tanya!
% 1.11/0.49 % SZS status Theorem for theBenchmark
% 1.11/0.49 % SZS output start Proof for theBenchmark
% 1.11/0.49 thf(type_def_5, type, denota1663640101rp_ext: ($tType * $tType * $tType * $tType) > $tType).
% 1.11/0.49 thf(type_def_6, type, finite_Cartesian_vec: ($tType * $tType) > $tType).
% 1.11/0.49 thf(type_def_7, type, product_unit: $tType).
% 1.11/0.49 thf(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 1.11/0.49 thf(type_def_9, type, formula: ($tType * $tType * $tType) > $tType).
% 1.11/0.49 thf(type_def_10, type, sum_sum: ($tType * $tType) > $tType).
% 1.11/0.49 thf(type_def_11, type, trm: ($tType * $tType) > $tType).
% 1.11/0.49 thf(type_def_12, type, hp: ($tType * $tType * $tType) > $tType).
% 1.11/0.49 thf(type_def_13, type, real: $tType).
% 1.11/0.49 thf(type_def_14, type, list: $tType > $tType).
% 1.11/0.49 thf(type_def_15, type, set: $tType > $tType).
% 1.11/0.49 thf(type_def_16, type, c: $tType).
% 1.11/0.49 thf(type_def_17, type, b: $tType).
% 1.11/0.49 thf(type_def_18, type, a: $tType).
% 1.11/0.49 thf(type_def_19, type, sTfun: ($tType * $tType) > $tType).
% 1.11/0.49 thf(func_def_0, type, cARD_1: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_1, type, ordere890947078_space: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_2, type, type: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_3, type, sup: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_4, type, ord: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_5, type, order: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_6, type, lattice: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_7, type, finite_finite: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_8, type, linorder: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_9, type, preorder: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_10, type, semilattice_sup: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_11, type, euclid1678468529ng_gcd: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_12, type, euclid1155270486miring: !>[X0: $tType]:($o)).
% 1.11/0.49 thf(func_def_13, type, bNF_Ca1785829860lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 1.11/0.49 thf(func_def_14, type, coinci32832645ide_hp: !>[X0: $tType, X1: $tType, X2: $tType]:((hp @ X0 @ X1 @ X2 > denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > $o))).
% 1.11/0.49 thf(func_def_15, type, coinci554967470ide_hp: !>[X0: $tType, X1: $tType, X2: $tType]:((hp @ X0 @ X1 @ X2 > $o))).
% 1.11/0.49 thf(func_def_16, type, coinci1495174342_equiv: !>[X0: $tType, X1: $tType, X2: $tType]:((hp @ X0 @ X1 @ X2 > denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > $o))).
% 1.11/0.49 thf(func_def_17, type, denotational_Iagree: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > set @ sum_sum @ X0 @ sum_sum @ X1 @ X2 > $o))).
% 1.11/0.49 thf(func_def_18, type, denotational_Vagree: !>[X0: $tType]:((product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0 > product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0 > set @ sum_sum @ X0 @ X0 > $o))).
% 1.11/0.49 thf(func_def_19, type, denota1661140910og_sem: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > hp @ X0 @ X1 @ X2 > set @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2 @ product_prod @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2))).
% 1.11/0.49 thf(func_def_20, type, ids: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X0 > X0 > X1 > X1 > X1 > X2 > X2 > X2 > X2 > $o))).
% 1.11/0.49 thf(func_def_21, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.11/0.49 thf(func_def_22, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.11/0.49 thf(func_def_23, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 1.11/0.49 thf(func_def_24, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 1.11/0.49 thf(func_def_25, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.11/0.49 thf(func_def_26, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.11/0.49 thf(func_def_27, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 1.11/0.49 thf(func_def_28, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 1.11/0.49 thf(func_def_29, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 1.11/0.49 thf(func_def_30, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.11/0.49 thf(func_def_31, type, static_FVP: !>[X0: $tType, X1: $tType, X2: $tType]:((hp @ X0 @ X1 @ X2 > set @ sum_sum @ X2 @ X2))).
% 1.11/0.49 thf(func_def_32, type, static_MBV: !>[X0: $tType, X1: $tType, X2: $tType]:((hp @ X0 @ X1 @ X2 > set @ sum_sum @ X2 @ X2))).
% 1.11/0.49 thf(func_def_33, type, static_SIGP: !>[X0: $tType, X1: $tType, X2: $tType]:((hp @ X0 @ X1 @ X2 > set @ sum_sum @ X0 @ sum_sum @ X1 @ X2))).
% 1.11/0.49 thf(func_def_34, type, choice: !>[X0: $tType, X1: $tType, X2: $tType]:((hp @ X0 @ X1 @ X2 > hp @ X0 @ X1 @ X2 > hp @ X0 @ X1 @ X2))).
% 1.11/0.49 thf(func_def_35, type, hpsafe: !>[X0: $tType, X1: $tType, X2: $tType]:((hp @ X0 @ X1 @ X2 > $o))).
% 1.11/0.49 thf(func_def_36, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 1.11/0.49 thf(func_def_37, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.11/0.49 thf(func_def_38, type, i: denota1663640101rp_ext @ a @ b @ c @ product_unit).
% 1.11/0.49 thf(func_def_39, type, j: denota1663640101rp_ext @ a @ b @ c @ product_unit).
% 1.11/0.49 thf(func_def_40, type, v: set @ sum_sum @ c @ c).
% 1.11/0.49 thf(func_def_41, type, mu: product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c).
% 1.11/0.49 thf(func_def_42, type, mu2: finite_Cartesian_vec @ real @ c).
% 1.11/0.49 thf(func_def_43, type, mu3: finite_Cartesian_vec @ real @ c).
% 1.11/0.49 thf(func_def_44, type, nu_1: finite_Cartesian_vec @ real @ c).
% 1.11/0.49 thf(func_def_45, type, nu_12: finite_Cartesian_vec @ real @ c).
% 1.11/0.49 thf(func_def_46, type, nu_2: finite_Cartesian_vec @ real @ c).
% 1.11/0.49 thf(func_def_47, type, nu_22: finite_Cartesian_vec @ real @ c).
% 1.11/0.49 thf(func_def_48, type, a2: hp @ a @ b @ c).
% 1.11/0.49 thf(func_def_49, type, b2: hp @ a @ b @ c).
% 1.11/0.49 thf(func_def_53, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.11/0.49 thf(func_def_54, type, db0: !>[X0: $tType]:(X0)).
% 1.11/0.49 thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.11/0.49 thf(func_def_56, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.11/0.49 thf(func_def_57, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.11/0.49 thf(func_def_58, type, vIMP: ($o > $o > $o)).
% 1.11/0.49 thf(func_def_59, type, vAND: ($o > $o > $o)).
% 1.11/0.49 thf(func_def_60, type, db1: !>[X0: $tType]:(X0)).
% 1.11/0.49 thf(func_def_61, type, db2: !>[X0: $tType]:(X0)).
% 1.11/0.49 thf(func_def_62, type, db5: !>[X0: $tType]:(X0)).
% 1.11/0.49 thf(func_def_63, type, db4: !>[X0: $tType]:(X0)).
% 1.11/0.49 thf(func_def_64, type, db6: !>[X0: $tType]:(X0)).
% 1.11/0.49 thf(func_def_65, type, db3: !>[X0: $tType]:(X0)).
% 1.11/0.49 thf(func_def_66, type, db7: !>[X0: $tType]:(X0)).
% 1.11/0.49 thf(func_def_67, type, vOR: ($o > $o > $o)).
% 1.11/0.49 thf(func_def_68, type, vNOT: ($o > $o)).
% 1.11/0.49 thf(func_def_69, type, db9: !>[X0: $tType]:(X0)).
% 1.11/0.49 thf(func_def_70, type, db8: !>[X0: $tType]:(X0)).
% 1.11/0.49 thf(func_def_71, type, sK0: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X6 > X5))).
% 1.11/0.49 thf(func_def_72, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X6 > X3))).
% 1.11/0.49 thf(func_def_73, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X6 > X0))).
% 1.11/0.49 thf(func_def_74, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X6 > X1))).
% 1.11/0.49 thf(func_def_75, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X6 > X2))).
% 1.11/0.49 thf(func_def_76, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X6 > X4))).
% 1.11/0.49 thf(func_def_77, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X2 @ X6 > X6))).
% 1.11/0.49 thf(func_def_78, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ denota1663640101rp_ext @ X1 @ X0 @ X2 @ product_unit @ X1 > X1))).
% 1.11/0.49 thf(func_def_79, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ denota1663640101rp_ext @ X1 @ X0 @ X2 @ product_unit @ X1 > denota1663640101rp_ext @ X1 @ X0 @ X2 @ product_unit))).
% 1.11/0.49 thf(func_def_80, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X4 > $o) > X0))).
% 1.11/0.49 thf(func_def_81, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X4 > $o) > X3))).
% 1.11/0.49 thf(func_def_82, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X4 > $o) > X1))).
% 1.11/0.49 thf(func_def_83, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X4 > $o) > X2))).
% 1.11/0.49 thf(func_def_84, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X4 > $o) > X4))).
% 1.11/0.49 thf(func_def_85, type, sK14: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 1.11/0.49 thf(func_def_86, type, sK15: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 1.11/0.49 thf(func_def_87, type, sK16: (product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c > product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c > set @ sum_sum @ c @ c > denota1663640101rp_ext @ a @ b @ c @ product_unit > product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c)).
% 1.11/0.49 thf(func_def_88, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 1.11/0.49 thf(func_def_89, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 1.11/0.49 thf(func_def_90, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 1.11/0.49 thf(func_def_91, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X2))).
% 1.11/0.49 thf(func_def_92, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X1))).
% 1.11/0.49 thf(func_def_93, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X0))).
% 1.11/0.49 thf(func_def_94, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X0))).
% 1.11/0.49 thf(func_def_95, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X2))).
% 1.11/0.49 thf(func_def_96, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X1))).
% 1.11/0.49 thf(func_def_97, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X5))).
% 1.11/0.49 thf(func_def_98, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X3))).
% 1.11/0.49 thf(func_def_99, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ X1 > X4))).
% 1.11/0.49 thf(func_def_100, type, sK29: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 1.11/0.49 thf(func_def_101, type, sK30: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 1.11/0.49 thf(func_def_102, type, sK31: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.11/0.49 thf(func_def_103, type, sK32: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.11/0.49 thf(func_def_104, type, sK33: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.11/0.49 thf(func_def_105, type, sK34: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.11/0.49 thf(func_def_106, type, sK35: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.11/0.49 thf(func_def_107, type, sK36: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.11/0.49 thf(func_def_108, type, sK37: !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.11/0.49 thf(func_def_109, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X0 > $o) > X6))).
% 1.11/0.49 thf(func_def_110, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X0 > $o) > X1))).
% 1.11/0.49 thf(func_def_111, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X0 > $o) > X4))).
% 1.11/0.49 thf(func_def_112, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X0 > $o) > X0))).
% 1.11/0.49 thf(func_def_113, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X0 > $o) > X3))).
% 1.11/0.49 thf(func_def_114, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X0 > $o) > X2))).
% 1.11/0.49 thf(func_def_115, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ X0 > $o) > X5))).
% 1.11/0.49 thf(func_def_116, type, sK45: (product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c > product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c > set @ sum_sum @ c @ c > denota1663640101rp_ext @ a @ b @ c @ product_unit > product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c)).
% 1.11/0.49 thf(func_def_117, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ X3 > $o) > X3))).
% 1.11/0.49 thf(func_def_118, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ X3 > $o) > X4))).
% 1.11/0.49 thf(func_def_119, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ X3 > $o) > X5))).
% 1.11/0.49 thf(func_def_120, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ X3 > $o) > X2))).
% 1.11/0.49 thf(func_def_121, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ X3 > $o) > X1))).
% 1.11/0.49 thf(func_def_122, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ X3 > $o) > X0))).
% 1.11/0.49 thf(func_def_123, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X1))).
% 1.11/0.49 thf(func_def_124, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X3))).
% 1.11/0.49 thf(func_def_125, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X2))).
% 1.11/0.49 thf(func_def_126, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X0))).
% 1.11/0.49 thf(func_def_127, type, sK56: product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c).
% 1.11/0.49 thf(func_def_128, type, sK57: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 1.11/0.49 thf(func_def_129, type, sK58: !>[X0: $tType]:((set @ X0 > set @ X0 > set @ X0 > set @ X0))).
% 1.11/0.49 thf(func_def_130, type, sK59: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.11/0.49 thf(func_def_131, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X3))).
% 1.11/0.49 thf(func_def_132, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X2))).
% 1.11/0.49 thf(func_def_133, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X1))).
% 1.11/0.49 thf(func_def_134, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ X2 > X0))).
% 1.11/0.49 thf(func_def_135, type, sK64: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 1.11/0.49 thf(func_def_136, type, sK65: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 1.11/0.49 thf(func_def_137, type, sK66: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 1.11/0.49 thf(func_def_138, type, sK67: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 1.11/0.49 thf(func_def_139, type, sK68: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 1.11/0.49 thf(func_def_140, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X3 > X2))).
% 1.11/0.49 thf(func_def_141, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X3 > X1))).
% 1.11/0.49 thf(func_def_142, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X3 > X0))).
% 1.11/0.49 thf(func_def_143, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X3 > X4))).
% 1.11/0.49 thf(func_def_144, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X4 @ X3 > X3))).
% 1.11/0.49 thf(f3,axiom,(
% 1.11/0.49 (member @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ nu_22 @ nu_2) @ mu) @ (denota1661140910og_sem @ a @ b @ c @ j @ (choice @ a @ b @ c @ a2 @ b2)))),
% 1.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_prog__sem_H)).
% 1.11/0.49 thf(f4,axiom,(
% 1.11/0.49 (denotational_Vagree @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ mu3 @ mu2) @ mu @ (sup_sup @ set @ sum_sum @ c @ c @ (static_MBV @ a @ b @ c @ (choice @ a @ b @ c @ a2 @ b2)) @ v))),
% 1.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_agree_H)).
% 1.11/0.49 thf(f317,conjecture,(
% 1.11/0.49 ? [X0 : product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c] : ((denotational_Vagree @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ mu3 @ mu2) @ X0 @ (sup_sup @ set @ sum_sum @ c @ c @ (static_MBV @ a @ b @ c @ (choice @ a @ b @ c @ a2 @ b2)) @ v)) & (member @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ nu_22 @ nu_2) @ X0) @ (denota1661140910og_sem @ a @ b @ c @ j @ (choice @ a @ b @ c @ a2 @ b2))))),
% 1.11/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.11/0.49 thf(f318,negated_conjecture,(
% 1.11/0.49 ~ ? [X0 : product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c] : ((denotational_Vagree @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ mu3 @ mu2) @ X0 @ (sup_sup @ set @ sum_sum @ c @ c @ (static_MBV @ a @ b @ c @ (choice @ a @ b @ c @ a2 @ b2)) @ v)) & (member @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ nu_22 @ nu_2) @ X0) @ (denota1661140910og_sem @ a @ b @ c @ j @ (choice @ a @ b @ c @ a2 @ b2))))),
% 1.11/0.49 inference(negated_conjecture,[status(cth)],[f317])).
% 1.11/0.49 thf(f510,plain,(
% 1.11/0.49 (denotational_Vagree @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ mu3 @ mu2) @ mu @ (sup_sup @ set @ sum_sum @ c @ c @ (static_MBV @ a @ b @ c @ (choice @ a @ b @ c @ a2 @ b2)) @ v))),
% 1.11/0.49 inference(rectify,[],[f4])).
% 1.11/0.49 thf(f511,plain,(
% 1.11/0.49 (((denotational_Vagree @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ mu3 @ mu2) @ mu @ (sup_sup @ set @ sum_sum @ c @ c @ (static_MBV @ a @ b @ c @ (choice @ a @ b @ c @ a2 @ b2)) @ v))) = $true)),
% 1.11/0.49 inference(fool_elimination,[],[f510])).
% 1.11/0.49 thf(f615,plain,(
% 1.11/0.49 ~ ? [X0 : product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c] : ((denotational_Vagree @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ mu3 @ mu2) @ X0 @ (sup_sup @ set @ sum_sum @ c @ c @ (static_MBV @ a @ b @ c @ (choice @ a @ b @ c @ a2 @ b2)) @ v)) & (member @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ nu_22 @ nu_2) @ X0) @ (denota1661140910og_sem @ a @ b @ c @ j @ (choice @ a @ b @ c @ a2 @ b2))))),
% 1.11/0.49 inference(rectify,[],[f318])).
% 1.11/0.49 thf(f616,plain,(
% 1.11/0.49 ~ ? [X0 : product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c] : ((((member @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ nu_22 @ nu_2) @ X0) @ (denota1661140910og_sem @ a @ b @ c @ j @ (choice @ a @ b @ c @ a2 @ b2)))) = $true) & (((denotational_Vagree @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ mu3 @ mu2) @ X0 @ (sup_sup @ set @ sum_sum @ c @ c @ (static_MBV @ a @ b @ c @ (choice @ a @ b @ c @ a2 @ b2)) @ v))) = $true))),
% 1.11/0.49 inference(fool_elimination,[],[f615])).
% 1.11/0.49 thf(f707,plain,(
% 1.11/0.49 (member @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ nu_22 @ nu_2) @ mu) @ (denota1661140910og_sem @ a @ b @ c @ j @ (choice @ a @ b @ c @ a2 @ b2)))),
% 1.11/0.49 inference(rectify,[],[f3])).
% 1.11/0.49 thf(f708,plain,(
% 1.11/0.49 (((member @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ nu_22 @ nu_2) @ mu) @ (denota1661140910og_sem @ a @ b @ c @ j @ (choice @ a @ b @ c @ a2 @ b2)))) = $true)),
% 1.11/0.49 inference(fool_elimination,[],[f707])).
% 1.11/0.49 thf(f951,plain,(
% 1.11/0.49 ! [X0 : product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c] : ((((member @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ nu_22 @ nu_2) @ X0) @ (denota1661140910og_sem @ a @ b @ c @ j @ (choice @ a @ b @ c @ a2 @ b2)))) != $true) | (((denotational_Vagree @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ mu3 @ mu2) @ X0 @ (sup_sup @ set @ sum_sum @ c @ c @ (static_MBV @ a @ b @ c @ (choice @ a @ b @ c @ a2 @ b2)) @ v))) != $true))),
% 1.11/0.49 inference(ennf_transformation,[],[f616])).
% 1.11/0.49 thf(f1246,plain,(
% 1.11/0.49 (((member @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ nu_22 @ nu_2) @ mu) @ (denota1661140910og_sem @ a @ b @ c @ j @ (choice @ a @ b @ c @ a2 @ b2)))) = $true)),
% 1.11/0.49 inference(cnf_transformation,[],[f708])).
% 1.11/0.49 thf(f1265,plain,(
% 1.11/0.49 ( ! [X0 : product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c] : ((((member @ product_prod @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ nu_22 @ nu_2) @ X0) @ (denota1661140910og_sem @ a @ b @ c @ j @ (choice @ a @ b @ c @ a2 @ b2)))) != $true) | (((denotational_Vagree @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ mu3 @ mu2) @ X0 @ (sup_sup @ set @ sum_sum @ c @ c @ (static_MBV @ a @ b @ c @ (choice @ a @ b @ c @ a2 @ b2)) @ v))) != $true)) )),
% 1.11/0.49 inference(cnf_transformation,[],[f951])).
% 1.11/0.49 thf(f1366,plain,(
% 1.11/0.49 (((denotational_Vagree @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ mu3 @ mu2) @ mu @ (sup_sup @ set @ sum_sum @ c @ c @ (static_MBV @ a @ b @ c @ (choice @ a @ b @ c @ a2 @ b2)) @ v))) = $true)),
% 1.11/0.49 inference(cnf_transformation,[],[f511])).
% 1.11/0.49 thf(f1437,plain,(
% 1.11/0.49 (((denotational_Vagree @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ mu3 @ mu2) @ mu @ (sup_sup @ set @ sum_sum @ c @ c @ (static_MBV @ a @ b @ c @ (choice @ a @ b @ c @ a2 @ b2)) @ v))) != $true) | ($true != $true)),
% 1.11/0.49 inference(superposition,[],[f1265,f1246])).
% 1.11/0.49 thf(f1440,plain,(
% 1.11/0.49 (((denotational_Vagree @ c @ (product_Pair @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c @ mu3 @ mu2) @ mu @ (sup_sup @ set @ sum_sum @ c @ c @ (static_MBV @ a @ b @ c @ (choice @ a @ b @ c @ a2 @ b2)) @ v))) != $true)),
% 1.11/0.49 inference(trivial_inequality_removal,[],[f1437])).
% 1.11/0.49 thf(f1441,plain,(
% 1.11/0.49 $false),
% 1.11/0.49 inference(forward_subsumption_resolution,[],[f1440,f1366])).
% 1.11/0.49 % SZS output end Proof for theBenchmark
% 1.11/0.49 % (1212150)------------------------------
% 1.11/0.49 % (1212150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.49 % (1212150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.49 % (1212150)CaDiCaL version: 2.1.3
% 1.11/0.49 % (1212150)Termination reason: Refutation
% 1.11/0.49 % (1212150)Time elapsed: 0.064 s
% 1.11/0.49 % (1212150)Peak memory usage: 14 MB
% 1.11/0.49 % (1212150)Instructions burned: 133 (million)
% 1.11/0.49 % (1212114)Success in time 0.196 s
% 1.11/0.49 % Vampire exiting
%------------------------------------------------------------------------------