%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP038^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:08:04 AM UTC 2026
% Result : Theorem 0.30s 0.44s
% Output : Refutation 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP038^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 19:42:26 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.22/0.30 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/0.44 % (550187)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.30/0.44 % (550195)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=793898572: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)
% 0.30/0.44 % (550198)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.30/0.44 % (550198)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
% 0.30/0.44 % (550196)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=710668038:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.30/0.44 % (550194)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=615103817:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.30/0.44 % (550197)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1926385498:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.30/0.44 % (550198)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=1539932208:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.30/0.44 % (550194)Instruction limit reached!
% 0.30/0.44 % (550194)------------------------------
% 0.30/0.44 % (550194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (550194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (550194)CaDiCaL version: 2.1.3
% 0.30/0.44 % (550194)Termination reason: Instruction limit
% 0.30/0.44 % (550194)Termination phase: shuffling
% 0.30/0.44 % (550194)Time elapsed: 0.003 s
% 0.30/0.44 % (550194)Peak memory usage: 10 MB
% 0.30/0.44 % (550194)Instructions burned: 4 (million)
% 0.30/0.44 % (550196)Instruction limit reached!
% 0.30/0.44 % (550196)------------------------------
% 0.30/0.44 % (550196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (550196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (550196)CaDiCaL version: 2.1.3
% 0.30/0.44 % (550196)Termination reason: Instruction limit
% 0.30/0.44 % (550196)Termination phase: shuffling
% 0.30/0.44 % (550196)Time elapsed: 0.013 s
% 0.30/0.44 % (550196)Peak memory usage: 11 MB
% 0.30/0.44 % (550196)Instructions burned: 25 (million)
% 0.30/0.44 % (550193)lrs+10_16_si=on:nwc=1.5:random_seed=382226976:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.30/0.44 % (550192)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1736750124:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.30/0.44 % (550204)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3040978786:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.30/0.44 % (550204)Instruction limit reached!
% 0.30/0.44 % (550204)------------------------------
% 0.30/0.44 % (550204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (550204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (550204)CaDiCaL version: 2.1.3
% 0.30/0.44 % (550204)Termination reason: Instruction limit
% 0.30/0.44 % (550204)Termination phase: shuffling
% 0.30/0.44 % (550204)Time elapsed: 0.002 s
% 0.30/0.44 % (550204)Peak memory usage: 10 MB
% 0.30/0.44 % (550204)Instructions burned: 3 (million)
% 0.30/0.44 % (550205)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3362918003:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.30/0.44 % (550193)Instruction limit reached!
% 0.30/0.44 % (550193)------------------------------
% 0.30/0.44 % (550193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (550193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (550193)CaDiCaL version: 2.1.3
% 0.30/0.44 % (550193)Termination reason: Instruction limit
% 0.30/0.44 % (550193)Termination phase: shuffling
% 0.30/0.44 % (550193)Time elapsed: 0.018 s
% 0.30/0.44 % (550193)Peak memory usage: 10 MB
% 0.30/0.44 % (550193)Instructions burned: 18 (million)
% 0.30/0.44 % (550205)Instruction limit reached!
% 0.30/0.44 % (550205)------------------------------
% 0.30/0.44 % (550205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (550205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (550205)CaDiCaL version: 2.1.3
% 0.30/0.44 % (550205)Termination reason: Instruction limit
% 0.30/0.44 % (550205)Termination phase: shuffling
% 0.30/0.44 % (550205)Time elapsed: 0.004 s
% 0.30/0.44 % (550205)Peak memory usage: 10 MB
% 0.30/0.44 % (550205)Instructions burned: 7 (million)
% 0.30/0.44 % (550197)Instruction limit reached!
% 0.30/0.44 % (550197)------------------------------
% 0.30/0.44 % (550197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (550197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (550197)CaDiCaL version: 2.1.3
% 0.30/0.44 % (550197)Termination reason: Instruction limit
% 0.30/0.44 % (550197)Termination phase: Preprocessing 1
% 0.30/0.44 % (550197)Time elapsed: 0.037 s
% 0.30/0.44 % (550197)Peak memory usage: 11 MB
% 0.30/0.44 % (550197)Instructions burned: 75 (million)
% 0.30/0.44 % (550209)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.30/0.44 % (550211)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2853328494:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.30/0.44 % (550212)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
% 0.30/0.44 % (550212)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.30/0.44 % (550209)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=22497409:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.30/0.44 % (550213)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=1174173681:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.30/0.44 % (550212)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=643824174:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 0.30/0.44 % (550211)Instruction limit reached!
% 0.30/0.44 % (550211)------------------------------
% 0.30/0.44 % (550211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (550211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (550211)CaDiCaL version: 2.1.3
% 0.30/0.44 % (550211)Termination reason: Instruction limit
% 0.30/0.44 % (550211)Termination phase: shuffling
% 0.30/0.44 % (550211)Time elapsed: 0.008 s
% 0.30/0.44 % (550211)Peak memory usage: 10 MB
% 0.30/0.44 % (550211)Instructions burned: 14 (million)
% 0.30/0.44 % (550195) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-550187-550195"...
% 0.30/0.44 % (550192)Instruction limit reached!
% 0.30/0.44 % (550192)------------------------------
% 0.30/0.44 % (550192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (550192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (550192)CaDiCaL version: 2.1.3
% 0.30/0.44 % (550192)Termination reason: Instruction limit
% 0.30/0.44 % (550192)Termination phase: Preprocessing 3
% 0.30/0.44 % (550192)Time elapsed: 0.044 s
% 0.30/0.44 % (550192)Peak memory usage: 12 MB
% 0.30/0.44 % (550192)Instructions burned: 87 (million)
% 0.30/0.44 % (550195)...printing done.
% 0.30/0.44 % (550195)Refutation found. Thanks to Tanya!
% 0.30/0.44 % SZS status Theorem for theBenchmark
% 0.30/0.44 % SZS output start Proof for theBenchmark
% 0.30/0.44 thf(type_def_5, type, denota1663640101rp_ext: ($tType * $tType * $tType * $tType) > $tType).
% 0.30/0.44 thf(type_def_6, type, frechet_good_interp: ($tType * $tType * $tType) > $tType).
% 0.30/0.44 thf(type_def_7, type, bounde2145540817linfun: ($tType * $tType) > $tType).
% 0.30/0.44 thf(type_def_8, type, frechet_strm: ($tType * $tType) > $tType).
% 0.30/0.44 thf(type_def_9, type, finite_Cartesian_vec: ($tType * $tType) > $tType).
% 0.30/0.44 thf(type_def_10, type, product_unit: $tType).
% 0.30/0.44 thf(type_def_11, type, product_prod: ($tType * $tType) > $tType).
% 0.30/0.44 thf(type_def_12, type, formula: ($tType * $tType * $tType) > $tType).
% 0.30/0.44 thf(type_def_13, type, sum_sum: ($tType * $tType) > $tType).
% 0.30/0.44 thf(type_def_14, type, trm: ($tType * $tType) > $tType).
% 0.30/0.44 thf(type_def_15, type, real: $tType).
% 0.30/0.44 thf(type_def_16, type, list: $tType > $tType).
% 0.30/0.44 thf(type_def_17, type, set: $tType > $tType).
% 0.30/0.44 thf(type_def_18, type, sz: $tType).
% 0.30/0.44 thf(type_def_19, type, sf: $tType).
% 0.30/0.44 thf(type_def_20, type, sc: $tType).
% 0.30/0.44 thf(type_def_21, type, c: $tType).
% 0.30/0.44 thf(type_def_22, type, b: $tType).
% 0.30/0.44 thf(type_def_23, type, a: $tType).
% 0.30/0.44 thf(type_def_24, type, sTfun: ($tType * $tType) > $tType).
% 0.30/0.44 thf(func_def_0, type, real_V55928688vector: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_1, type, cARD_1: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_2, type, type: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_4, type, top: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_5, type, order: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_6, type, finite_finite: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_8, type, preorder: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_9, type, order_top: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_10, type, topolo503727757_space: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_11, type, euclid1678468529ng_gcd: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_12, type, euclid1155270486miring: !>[X0: $tType]:($o)).
% 0.30/0.44 thf(func_def_13, type, bNF_eq_onp: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > $o))).
% 0.30/0.44 thf(func_def_14, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 0.30/0.44 thf(func_def_15, type, bounde688532126linfun: !>[X0: $tType, X1: $tType]:(((X0 > X1) > bounde2145540817linfun @ X0 @ X1))).
% 0.30/0.44 thf(func_def_16, 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))).
% 0.30/0.44 thf(func_def_17, 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))).
% 0.30/0.44 thf(func_def_18, type, denota2078997598vative: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > trm @ X0 @ X2 > product_prod @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2 > real))).
% 0.30/0.44 thf(func_def_19, type, denotational_frechet: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > trm @ X0 @ X2 > finite_Cartesian_vec @ real @ X2 > finite_Cartesian_vec @ real @ X2 > real))).
% 0.30/0.44 thf(func_def_20, type, denota2077489681interp: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > $o))).
% 0.30/0.44 thf(func_def_21, type, denota126604975rm_sem: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > trm @ X0 @ X2 > finite_Cartesian_vec @ real @ X2 > real))).
% 0.30/0.44 thf(func_def_22, type, frechet_blin_frechet: !>[X0: $tType, X1: $tType, X2: $tType]:((frechet_good_interp @ X0 @ X1 @ X2 > frechet_strm @ X0 @ X2 > finite_Cartesian_vec @ real @ X2 > bounde2145540817linfun @ finite_Cartesian_vec @ real @ X2 @ real))).
% 0.30/0.44 thf(func_def_23, type, freche457001096interp: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > frechet_good_interp @ X0 @ X1 @ X2 > $o))).
% 0.30/0.44 thf(func_def_24, type, frechet_cr_strm: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > frechet_strm @ X0 @ X1 > $o))).
% 0.30/0.44 thf(func_def_25, type, freche227871258interp: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > frechet_good_interp @ X0 @ X1 @ X2))).
% 0.30/0.44 thf(func_def_26, type, freche229654227interp: !>[X0: $tType, X1: $tType, X2: $tType]:((frechet_good_interp @ X0 @ X1 @ X2 > denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit))).
% 0.30/0.44 thf(func_def_27, type, frechet_raw_term: !>[X0: $tType, X1: $tType]:((frechet_strm @ X0 @ X1 > trm @ X0 @ X1))).
% 0.30/0.44 thf(func_def_28, type, frechet_simple_term: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > frechet_strm @ X0 @ X1))).
% 0.30/0.44 thf(func_def_29, type, ids: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X0 > X0 > X1 > X1 > X1 > X2 > X2 > X2 > X2 > $o))).
% 0.30/0.44 thf(func_def_30, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.30/0.44 thf(func_def_31, type, quotient: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > (X1 > X0) > (X0 > X1 > $o) > $o))).
% 0.30/0.44 thf(func_def_32, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.30/0.44 thf(func_def_33, type, top_top: !>[X0: $tType]:(X0)).
% 0.30/0.44 thf(func_def_34, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.30/0.44 thf(func_def_35, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.30/0.44 thf(func_def_36, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.30/0.44 thf(func_def_37, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.30/0.44 thf(func_def_38, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.30/0.44 thf(func_def_39, type, static_FVDiff: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > set @ sum_sum @ X1 @ X1))).
% 0.30/0.44 thf(func_def_40, type, static_FVT: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > set @ sum_sum @ X1 @ X1))).
% 0.30/0.44 thf(func_def_41, type, static_SIGT: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > set @ X0))).
% 0.30/0.44 thf(func_def_42, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 0.30/0.44 thf(func_def_43, type, sum_rec_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1))).
% 0.30/0.44 thf(func_def_44, type, predicational: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > formula @ X1 @ X0 @ X2))).
% 0.30/0.44 thf(func_def_45, type, dfree: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > $o))).
% 0.30/0.44 thf(func_def_46, type, p: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > formula @ X1 @ X0 @ X2))).
% 0.30/0.44 thf(func_def_47, type, empty: !>[X0: $tType, X1: $tType]:((X0 > trm @ X1 @ X0))).
% 0.30/0.44 thf(func_def_48, type, f0: !>[X0: $tType, X1: $tType]:((X0 > trm @ X0 @ X1))).
% 0.30/0.44 thf(func_def_49, type, function: !>[X0: $tType, X1: $tType]:((X0 > (X1 > trm @ X0 @ X1) > trm @ X0 @ X1))).
% 0.30/0.44 thf(func_def_50, type, plus: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > trm @ X0 @ X1 > trm @ X0 @ X1))).
% 0.30/0.44 thf(func_def_51, type, times: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > trm @ X0 @ X1 > trm @ X0 @ X1))).
% 0.30/0.44 thf(func_def_52, type, topolo2071040574ous_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > $o))).
% 0.30/0.44 thf(func_def_53, type, type_definition: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > set @ X1 > $o))).
% 0.30/0.44 thf(func_def_54, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.30/0.44 thf(func_def_55, type, i: denota1663640101rp_ext @ a @ b @ c @ product_unit).
% 0.30/0.44 thf(func_def_56, type, j: denota1663640101rp_ext @ a @ b @ c @ product_unit).
% 0.30/0.44 thf(func_def_57, type, nu: product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c).
% 0.30/0.44 thf(func_def_58, type, nu2: product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c).
% 0.30/0.44 thf(func_def_59, type, t1: trm @ a @ c).
% 0.30/0.44 thf(func_def_60, type, t2: trm @ a @ c).
% 0.30/0.44 thf(func_def_64, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.30/0.44 thf(func_def_65, type, db0: !>[X0: $tType]:(X0)).
% 0.30/0.44 thf(func_def_66, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.30/0.44 thf(func_def_67, type, vAND: ($o > $o > $o)).
% 0.30/0.44 thf(func_def_68, type, db3: !>[X0: $tType]:(X0)).
% 0.30/0.44 thf(func_def_69, type, db2: !>[X0: $tType]:(X0)).
% 0.30/0.44 thf(func_def_70, type, db1: !>[X0: $tType]:(X0)).
% 0.30/0.44 thf(func_def_71, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.30/0.44 thf(func_def_72, type, db4: !>[X0: $tType]:(X0)).
% 0.30/0.44 thf(func_def_73, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.30/0.44 thf(func_def_74, type, vIMP: ($o > $o > $o)).
% 0.30/0.44 thf(func_def_75, type, db5: !>[X0: $tType]:(X0)).
% 0.30/0.44 thf(func_def_76, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.30/0.44 thf(func_def_77, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.30/0.44 thf(func_def_78, type, sK2: !>[X0: $tType, X1: $tType]:((frechet_strm @ X0 @ X1 > trm @ X0 @ X1))).
% 0.30/0.44 thf(func_def_79, type, sK3: !>[X0: $tType, X1: $tType]:((trm @ X1 @ X0 > frechet_strm @ X1 @ X0))).
% 0.30/0.44 thf(func_def_80, type, sK4: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.30/0.44 thf(func_def_81, type, sK5: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.30/0.44 thf(func_def_82, type, sK6: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.30/0.44 thf(func_def_83, type, sK7: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.30/0.44 thf(func_def_84, type, sK8: !>[X0: $tType, X1: $tType]:(((X1 > trm @ X0 @ X1) > X1))).
% 0.30/0.44 thf(func_def_85, type, sK9: !>[X0: $tType, X1: $tType]:(((X0 > trm @ X1 @ X0) > X0))).
% 0.30/0.44 thf(func_def_86, type, sK10: !>[X0: $tType, X1: $tType]:(((trm @ X0 @ X1 > X1 > $o) > trm @ X0 @ X1))).
% 0.30/0.44 thf(func_def_87, type, sK11: !>[X0: $tType, X1: $tType]:(((trm @ X0 @ X1 > X1 > $o) > X1))).
% 0.30/0.44 thf(func_def_88, type, sK12: !>[X0: $tType, X1: $tType]:(((trm @ X1 @ X0 > $o) > frechet_strm @ X1 @ X0))).
% 0.30/0.44 thf(func_def_89, type, sK13: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.30/0.44 thf(func_def_90, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X0))).
% 0.30/0.44 thf(func_def_91, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X1))).
% 0.30/0.44 thf(func_def_92, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X2))).
% 0.30/0.44 thf(func_def_93, type, sK17: !>[X0: $tType]:((set @ X0 > X0))).
% 0.30/0.44 thf(func_def_94, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X6 > $o) > X1))).
% 0.30/0.44 thf(func_def_95, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X6 > $o) > X3))).
% 0.30/0.44 thf(func_def_96, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X6 > $o) > X6))).
% 0.30/0.44 thf(func_def_97, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X6 > $o) > X5))).
% 0.30/0.44 thf(func_def_98, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X6 > $o) > X2))).
% 0.30/0.44 thf(func_def_99, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X6 > $o) > X4))).
% 0.30/0.44 thf(func_def_100, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X6 > $o) > X0))).
% 0.30/0.44 thf(func_def_101, type, sK25: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.30/0.44 thf(func_def_102, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > frechet_good_interp @ X0 @ X1 @ X2))).
% 0.30/0.44 thf(func_def_103, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X1))).
% 0.30/0.44 thf(func_def_104, type, sK28: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_105, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType]:((frechet_good_interp @ X2 @ X1 @ X0 > denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit))).
% 0.30/0.44 thf(func_def_106, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit > frechet_good_interp @ X2 @ X1 @ X0))).
% 0.30/0.44 thf(func_def_107, type, sK31: !>[X0: $tType, X1: $tType]:((frechet_strm @ X1 @ X0 > trm @ X1 @ X0))).
% 0.30/0.44 thf(func_def_108, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType]:(((frechet_good_interp @ X0 @ X2 @ X1 > $o) > denota1663640101rp_ext @ X0 @ X2 @ X1 @ product_unit))).
% 0.30/0.44 thf(func_def_109, type, sK33: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.30/0.44 thf(func_def_110, type, sK34: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.30/0.44 thf(func_def_111, type, sK35: !>[X0: $tType, X1: $tType]:(((frechet_strm @ X0 @ X1 > $o) > trm @ X0 @ X1))).
% 0.30/0.44 thf(func_def_112, type, sK36: !>[X0: $tType]:(X0)).
% 0.30/0.44 thf(func_def_113, type, sK37: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.30/0.44 thf(func_def_114, type, sK38: !>[X0: $tType]:((product_prod @ X0 @ X0 > X0))).
% 0.30/0.44 thf(func_def_115, type, sK39: !>[X0: $tType]:((product_prod @ X0 @ X0 > X0))).
% 0.30/0.44 thf(func_def_116, type, sK40: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > frechet_strm @ X0 @ X1))).
% 0.30/0.44 thf(func_def_117, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X1))).
% 0.30/0.44 thf(func_def_118, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X0))).
% 0.30/0.44 thf(func_def_119, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X3))).
% 0.30/0.44 thf(func_def_120, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X2))).
% 0.30/0.44 thf(func_def_121, type, sK45: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.30/0.44 thf(func_def_122, type, sK46: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.30/0.44 thf(func_def_123, type, sK47: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.30/0.44 thf(func_def_124, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ X0 > X2))).
% 0.30/0.44 thf(func_def_125, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ X0 > X3))).
% 0.30/0.44 thf(func_def_126, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ X0 > X0))).
% 0.30/0.44 thf(func_def_127, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ X0 > X4))).
% 0.30/0.44 thf(func_def_128, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ X0 > X1))).
% 0.30/0.44 thf(func_def_129, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X5 @ product_prod @ X1 @ X0 > X5))).
% 0.30/0.44 thf(func_def_130, type, sK54: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 0.30/0.44 thf(func_def_131, type, sK55: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 0.30/0.44 thf(func_def_132, type, sK56: !>[X0: $tType]:(((X0 > $o) > set @ X0 > (X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_133, type, sK57: !>[X0: $tType, X1: $tType]:((set @ X0 > real > (X0 > real) > (X0 > X1) > (X0 > X1) > X0))).
% 0.30/0.44 thf(func_def_134, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType]:(((denota1663640101rp_ext @ X1 @ X0 @ X2 @ product_unit > $o) > frechet_good_interp @ X1 @ X0 @ X2))).
% 0.30/0.44 thf(func_def_135, type, sK59: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_136, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit @ product_prod @ list @ formula @ X0 @ X1 @ X2 @ list @ formula @ X0 @ X1 @ X2 > denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit))).
% 0.30/0.44 thf(func_def_137, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit @ product_prod @ list @ formula @ X0 @ X1 @ X2 @ list @ formula @ X0 @ X1 @ X2 > product_prod @ list @ formula @ X0 @ X1 @ X2 @ list @ formula @ X0 @ X1 @ X2))).
% 0.30/0.44 thf(func_def_138, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType]:(((denota1663640101rp_ext @ X1 @ X2 @ X0 @ product_unit > $o) > frechet_good_interp @ X1 @ X2 @ X0))).
% 0.30/0.44 thf(func_def_139, type, sK63: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_140, type, sK64: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 0.30/0.44 thf(func_def_141, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType]:(((denota1663640101rp_ext @ X1 @ X0 @ X2 @ product_unit > product_prod @ list @ formula @ X1 @ X0 @ X2 @ list @ formula @ X1 @ X0 @ X2 > $o) > product_prod @ list @ formula @ X1 @ X0 @ X2 @ list @ formula @ X1 @ X0 @ X2))).
% 0.30/0.44 thf(func_def_142, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType]:(((denota1663640101rp_ext @ X1 @ X0 @ X2 @ product_unit > product_prod @ list @ formula @ X1 @ X0 @ X2 @ list @ formula @ X1 @ X0 @ X2 > $o) > denota1663640101rp_ext @ X1 @ X0 @ X2 @ product_unit))).
% 0.30/0.44 thf(func_def_143, type, sK67: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_144, type, sK68: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 0.30/0.44 thf(func_def_145, type, sK69: !>[X0: $tType, X1: $tType]:(((frechet_strm @ X1 @ X0 > $o) > trm @ X1 @ X0))).
% 0.30/0.44 thf(func_def_146, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > $o) > X4))).
% 0.30/0.44 thf(func_def_147, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > $o) > X2))).
% 0.30/0.44 thf(func_def_148, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > $o) > X1))).
% 0.30/0.44 thf(func_def_149, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > $o) > X0))).
% 0.30/0.44 thf(func_def_150, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ X3 > $o) > X3))).
% 0.30/0.44 thf(func_def_151, type, sK75: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X0))).
% 0.30/0.44 thf(func_def_152, type, sK76: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X1))).
% 0.30/0.44 thf(func_def_153, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X1 > (X1 > X0 > X2) > X0))).
% 0.30/0.44 thf(func_def_154, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType]:((frechet_good_interp @ X2 @ X0 @ X1 > denota1663640101rp_ext @ X2 @ X0 @ X1 @ product_unit))).
% 0.30/0.44 thf(func_def_155, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X1 > X1))).
% 0.30/0.44 thf(func_def_156, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X1 > X0))).
% 0.30/0.44 thf(func_def_157, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X1 > X4))).
% 0.30/0.44 thf(func_def_158, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X1 > X3))).
% 0.30/0.44 thf(func_def_159, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X1 > X2))).
% 0.30/0.44 thf(func_def_160, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X1 > X2))).
% 0.30/0.44 thf(func_def_161, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X1 > X3))).
% 0.30/0.44 thf(func_def_162, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X1 > X0))).
% 0.30/0.44 thf(func_def_163, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X1 > X1))).
% 0.30/0.44 thf(func_def_164, type, sK88: !>[X0: $tType]:((product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ X0 > X0))).
% 0.30/0.44 thf(func_def_165, type, sK89: !>[X0: $tType]:((product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ X0 > X0))).
% 0.30/0.44 thf(func_def_166, type, sK90: !>[X0: $tType]:((product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ X0 > X0))).
% 0.30/0.44 thf(func_def_167, type, sK91: !>[X0: $tType]:((product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ X0 > X0))).
% 0.30/0.44 thf(func_def_168, type, sK92: !>[X0: $tType]:((product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ X0 > X0))).
% 0.30/0.44 thf(func_def_169, type, sK93: !>[X0: $tType]:((product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ X0 > X0))).
% 0.30/0.44 thf(func_def_170, type, sK94: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_171, type, sK95: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_172, type, sK96: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X1))).
% 0.30/0.44 thf(func_def_173, type, sK97: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_174, type, sK98: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_175, type, sK99: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1))).
% 0.30/0.44 thf(func_def_176, type, sK100: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 0.30/0.44 thf(func_def_177, type, sK101: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 0.30/0.44 thf(func_def_178, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_179, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 0.30/0.44 thf(func_def_180, type, sK104: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 0.30/0.44 thf(func_def_181, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 0.30/0.44 thf(func_def_182, type, sK106: !>[X0: $tType, X1: $tType]:((product_prod @ trm @ X1 @ X0 @ X0 > trm @ X1 @ X0))).
% 0.30/0.44 thf(func_def_183, type, sK107: !>[X0: $tType, X1: $tType]:((product_prod @ trm @ X1 @ X0 @ X0 > X0))).
% 0.30/0.44 thf(func_def_184, type, sK108: !>[X0: $tType, X1: $tType]:(((trm @ X0 @ X1 > $o) > frechet_strm @ X0 @ X1))).
% 0.30/0.44 thf(func_def_185, type, sK109: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.30/0.44 thf(func_def_186, type, sK110: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.30/0.44 thf(func_def_187, type, sK111: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X2))).
% 0.30/0.44 thf(func_def_188, type, sK112: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X1))).
% 0.30/0.44 thf(func_def_189, type, sK113: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X0))).
% 0.30/0.44 thf(func_def_190, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType]:(((frechet_good_interp @ X1 @ X2 @ X0 > $o) > denota1663640101rp_ext @ X1 @ X2 @ X0 @ product_unit))).
% 0.30/0.44 thf(func_def_191, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ denota1663640101rp_ext @ X1 @ X2 @ X0 @ product_unit @ X1 > X1))).
% 0.30/0.44 thf(func_def_192, type, sK116: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ denota1663640101rp_ext @ X1 @ X2 @ X0 @ product_unit @ X1 > denota1663640101rp_ext @ X1 @ X2 @ X0 @ product_unit))).
% 0.30/0.44 thf(func_def_193, type, sK117: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X5 @ X3 > X6))).
% 0.30/0.44 thf(func_def_194, type, sK118: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X5 @ X3 > X3))).
% 0.30/0.44 thf(func_def_195, type, sK119: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X5 @ X3 > X1))).
% 0.30/0.44 thf(func_def_196, type, sK120: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X5 @ X3 > X5))).
% 0.30/0.44 thf(func_def_197, type, sK121: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X5 @ X3 > X0))).
% 0.30/0.44 thf(func_def_198, type, sK122: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X5 @ X3 > X2))).
% 0.30/0.44 thf(func_def_199, type, sK123: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X5 @ X3 > X4))).
% 0.30/0.44 thf(func_def_200, type, sK124: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_201, type, sK125: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 0.30/0.44 thf(func_def_202, type, sK126: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_203, type, sK127: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_204, type, sK128: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_205, type, sK129: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_206, type, sK130: (product_prod @ denota1663640101rp_ext @ sf @ sc @ sz @ product_unit @ product_prod @ list @ formula @ sf @ sc @ sz @ list @ formula @ sf @ sc @ sz > denota1663640101rp_ext @ sf @ sc @ sz @ product_unit)).
% 0.30/0.44 thf(func_def_207, type, sK131: (product_prod @ denota1663640101rp_ext @ sf @ sc @ sz @ product_unit @ product_prod @ list @ formula @ sf @ sc @ sz @ list @ formula @ sf @ sc @ sz > product_prod @ list @ formula @ sf @ sc @ sz @ list @ formula @ sf @ sc @ sz)).
% 0.30/0.44 thf(func_def_208, type, sK132: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.30/0.44 thf(func_def_209, type, vNOT: ($o > $o)).
% 0.30/0.44 thf(f1,axiom,(
% 0.30/0.44 ! [X2 : $tType,X0 : $tType] : (finite_finite @ X0 => ! [X9 : trm @ X2 @ X0,X8 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X10 : trm @ X2 @ X0,X7 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0] : ((denotational_Vagree @ X0 @ X7 @ X8 @ (static_FVDiff @ X2 @ X0 @ (plus @ X2 @ X0 @ X9 @ X10))) => (denotational_Vagree @ X0 @ X7 @ X8 @ (static_FVDiff @ X2 @ X0 @ X10))))),
% 0.30/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_agree__plus2)).
% 0.30/0.44 thf(f2,axiom,(
% 0.30/0.44 (denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ (plus @ a @ c @ t1 @ t2)))),
% 0.30/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_agree)).
% 0.30/0.44 thf(f317,axiom,(
% 0.30/0.44 finite_finite @ c),
% 0.30/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0)).
% 0.30/0.44 thf(f324,conjecture,(
% 0.30/0.44 (denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))),
% 0.30/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.30/0.44 thf(f325,negated_conjecture,(
% 0.30/0.44 ~(denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))),
% 0.30/0.44 inference(negated_conjecture,[status(cth)],[f324])).
% 0.30/0.44 thf(f545,plain,(
% 0.30/0.44 ! [X0 : $tType,X1 : $tType] : (finite_finite @ X1 => ! [X2 : trm @ X0 @ X1,X3 : product_prod @ finite_Cartesian_vec @ real @ X1 @ finite_Cartesian_vec @ real @ X1,X4 : trm @ X0 @ X1,X5 : product_prod @ finite_Cartesian_vec @ real @ X1 @ finite_Cartesian_vec @ real @ X1] : ((denotational_Vagree @ X1 @ X5 @ X3 @ (static_FVDiff @ X0 @ X1 @ (plus @ X0 @ X1 @ X2 @ X4))) => (denotational_Vagree @ X1 @ X5 @ X3 @ (static_FVDiff @ X0 @ X1 @ X4))))),
% 0.30/0.44 inference(rectify,[],[f1])).
% 0.30/0.44 thf(f546,plain,(
% 0.30/0.44 ! [X0 : $tType,X1 : $tType] : ((finite_finite @ X1 = $true) => ! [X2 : trm @ X0 @ X1,X5 : product_prod @ finite_Cartesian_vec @ real @ X1 @ finite_Cartesian_vec @ real @ X1,X3 : product_prod @ finite_Cartesian_vec @ real @ X1 @ finite_Cartesian_vec @ real @ X1,X4 : trm @ X0 @ X1] : (($true = ((denotational_Vagree @ X1 @ X5 @ X3 @ (static_FVDiff @ X0 @ X1 @ (plus @ X0 @ X1 @ X2 @ X4))))) => ($true = ((denotational_Vagree @ X1 @ X5 @ X3 @ (static_FVDiff @ X0 @ X1 @ X4))))))),
% 0.30/0.44 inference(fool_elimination,[],[f545])).
% 0.30/0.44 thf(f623,plain,(
% 0.30/0.44 finite_finite @ c),
% 0.30/0.44 inference(rectify,[],[f317])).
% 0.30/0.44 thf(f624,plain,(
% 0.30/0.44 (finite_finite @ c = $true)),
% 0.30/0.44 inference(fool_elimination,[],[f623])).
% 0.30/0.44 thf(f747,plain,(
% 0.30/0.44 (denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ (plus @ a @ c @ t1 @ t2)))),
% 0.30/0.44 inference(rectify,[],[f2])).
% 0.30/0.44 thf(f748,plain,(
% 0.30/0.44 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ (plus @ a @ c @ t1 @ t2)))) = $true)),
% 0.30/0.44 inference(fool_elimination,[],[f747])).
% 0.30/0.44 thf(f861,plain,(
% 0.30/0.44 ~(denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))),
% 0.30/0.44 inference(rectify,[],[f325])).
% 0.30/0.44 thf(f862,plain,(
% 0.30/0.44 ~ (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) = $true)),
% 0.30/0.44 inference(fool_elimination,[],[f861])).
% 0.30/0.44 thf(f934,plain,(
% 0.30/0.44 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) != $true)),
% 0.30/0.44 inference(flattening,[],[f862])).
% 0.30/0.44 thf(f1290,plain,(
% 0.30/0.44 ! [X1 : $tType,X0 : $tType] : ((finite_finite @ X1 != $true) | ! [X5 : product_prod @ finite_Cartesian_vec @ real @ X1 @ finite_Cartesian_vec @ real @ X1,X4 : trm @ X0 @ X1,X3 : product_prod @ finite_Cartesian_vec @ real @ X1 @ finite_Cartesian_vec @ real @ X1,X2 : trm @ X0 @ X1] : (($true = ((denotational_Vagree @ X1 @ X5 @ X3 @ (static_FVDiff @ X0 @ X1 @ X4)))) | ($true != ((denotational_Vagree @ X1 @ X5 @ X3 @ (static_FVDiff @ X0 @ X1 @ (plus @ X0 @ X1 @ X2 @ X4)))))))),
% 0.30/0.44 inference(ennf_transformation,[],[f546])).
% 0.30/0.44 thf(f1472,plain,(
% 0.30/0.44 ! [X0 : $tType,X1 : $tType] : ((finite_finite @ X0 != $true) | ! [X2 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X3 : trm @ X1 @ X0,X4 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X5 : trm @ X1 @ X0] : (($true = ((denotational_Vagree @ X0 @ X2 @ X4 @ (static_FVDiff @ X1 @ X0 @ X3)))) | ($true != ((denotational_Vagree @ X0 @ X2 @ X4 @ (static_FVDiff @ X1 @ X0 @ (plus @ X1 @ X0 @ X5 @ X3)))))))),
% 0.30/0.44 inference(rectify,[],[f1290])).
% 0.30/0.44 thf(f1847,plain,(
% 0.30/0.44 ( ! [X1 : $tType,X0 : $tType,X2 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X3 : trm @ X1 @ X0,X4 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X5 : trm @ X1 @ X0] : (($true != ((denotational_Vagree @ X0 @ X2 @ X4 @ (static_FVDiff @ X1 @ X0 @ (plus @ X1 @ X0 @ X5 @ X3))))) | (finite_finite @ X0 != $true) | ($true = ((denotational_Vagree @ X0 @ X2 @ X4 @ (static_FVDiff @ X1 @ X0 @ X3))))) )),
% 0.30/0.44 inference(cnf_transformation,[],[f1472])).
% 0.30/0.44 thf(f1901,plain,(
% 0.30/0.44 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ (plus @ a @ c @ t1 @ t2)))) = $true)),
% 0.30/0.44 inference(cnf_transformation,[],[f748])).
% 0.30/0.44 thf(f1948,plain,(
% 0.30/0.44 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) != $true)),
% 0.30/0.44 inference(cnf_transformation,[],[f934])).
% 0.30/0.44 thf(f1957,plain,(
% 0.30/0.44 (finite_finite @ c = $true)),
% 0.30/0.44 inference(cnf_transformation,[],[f624])).
% 0.30/0.44 thf(f2105,definition,(
% 0.30/0.44 spl133_4 <=> (finite_finite @ c = $true)),
% 0.30/0.44 introduced(definition,[new_symbols(definition,[spl133_4])],[avatar_definition])).
% 0.30/0.44 thf(f2107,plain,(
% 0.30/0.44 (finite_finite @ c = $true) | ~spl133_4),
% 0.30/0.44 inference(avatar_component_clause,[],[f2105])).
% 0.30/0.44 thf(f2108,plain,(
% 0.30/0.44 spl133_4),
% 0.30/0.44 inference(avatar_split_clause,[],[f1957,f2105])).
% 0.30/0.44 thf(f2138,definition,(
% 0.30/0.44 spl133_11 <=> (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) = $true)),
% 0.30/0.44 introduced(definition,[new_symbols(definition,[spl133_11])],[avatar_definition])).
% 0.30/0.44 thf(f2140,plain,(
% 0.30/0.44 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) != $true) | spl133_11),
% 0.30/0.44 inference(avatar_component_clause,[],[f2138])).
% 0.30/0.44 thf(f2185,definition,(
% 0.30/0.44 spl133_21 <=> (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ (plus @ a @ c @ t1 @ t2)))) = $true)),
% 0.30/0.44 introduced(definition,[new_symbols(definition,[spl133_21])],[avatar_definition])).
% 0.30/0.44 thf(f2187,plain,(
% 0.30/0.44 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ (plus @ a @ c @ t1 @ t2)))) = $true) | ~spl133_21),
% 0.30/0.44 inference(avatar_component_clause,[],[f2185])).
% 0.30/0.44 thf(f2188,plain,(
% 0.30/0.44 spl133_21),
% 0.30/0.44 inference(avatar_split_clause,[],[f1901,f2185])).
% 0.30/0.44 thf(f2362,plain,(
% 0.30/0.44 ~spl133_11),
% 0.30/0.44 inference(avatar_split_clause,[],[f1948,f2138])).
% 0.30/0.44 thf(f2559,plain,(
% 0.30/0.44 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) = $true) | (finite_finite @ c != $true) | ($true != $true) | ~spl133_21),
% 0.30/0.44 inference(superposition,[],[f1847,f2187])).
% 0.30/0.44 thf(f2562,plain,(
% 0.30/0.44 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) = $true) | (finite_finite @ c != $true) | ~spl133_21),
% 0.30/0.44 inference(trivial_inequality_removal,[],[f2559])).
% 0.30/0.44 thf(f2567,plain,(
% 0.30/0.44 (finite_finite @ c != $true) | (spl133_11 | ~spl133_21)),
% 0.30/0.44 inference(forward_subsumption_resolution,[],[f2562,f2140])).
% 0.30/0.44 thf(f2568,plain,(
% 0.30/0.44 $false | (~spl133_4 | spl133_11 | ~spl133_21)),
% 0.30/0.44 inference(forward_subsumption_resolution,[],[f2567,f2107])).
% 0.30/0.44 thf(f2569,plain,(
% 0.30/0.44 ~spl133_4 | spl133_11 | ~spl133_21),
% 0.30/0.44 inference(avatar_contradiction_clause,[],[f2568])).
% 0.30/0.44 cnf(s3, plain, spl133_4, inference(sat_conversion,[],[f2108])).
% 0.30/0.44 cnf(s18, plain, spl133_21, inference(sat_conversion,[],[f2188])).
% 0.30/0.44 cnf(s63, plain, ~spl133_11, inference(sat_conversion,[],[f2362])).
% 0.30/0.44 cnf(s90, plain, ~spl133_4 | spl133_11 | ~spl133_21, inference(sat_conversion,[],[f2569])).
% 0.30/0.44 cnf(s91, plain, ~spl133_4, inference(rat,[],[s90,s63,s18])).
% 0.30/0.44 cnf(s92, plain, $false, inference(rat,[],[s3,s91])).
% 0.30/0.44 thf(f2570,plain,(
% 0.30/0.44 $false),
% 0.30/0.44 inference(avatar_sat_refutation,[],[s92])).
% 0.30/0.44 % SZS output end Proof for theBenchmark
% 0.30/0.44 % (550195)------------------------------
% 0.30/0.44 % (550195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (550195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (550195)CaDiCaL version: 2.1.3
% 0.30/0.44 % (550195)Termination reason: Refutation
% 0.30/0.44 % (550195)Time elapsed: 0.070 s
% 0.30/0.44 % (550195)Peak memory usage: 16 MB
% 0.30/0.44 % (550195)Instructions burned: 217 (million)
% 0.30/0.44 % (550187)Success in time 0.134 s
% 0.30/0.44 % Vampire exiting
%------------------------------------------------------------------------------