0.03/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.14 % Command : run_vampire %s %d SAT 0.13/0.35 % Computer : n025.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Wed Jul 30 06:52:19 EDT 2025 0.13/0.35 % CPUTime : 0.21/0.37 This is a TFF_ problem 0.21/0.37 Running first-order model finding 0.21/0.37 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc --intent sat -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.23/0.48 % (31836)Running in auto input_syntax mode. Trying TPTP 0.23/0.48 % (31844)ott-3_16_to=lpo:sil=16000:sp=arity:abs=on:fd=off:rp=on:random_seed=3381367902:i=159:nicw=on:bs=unit_only:fsr=off:amm=off_1199 on theBenchmark for (1199ds/159Mi) 0.23/0.48 % (31836)Running in auto input_syntax mode. Trying TPTP 0.23/0.48 % (31843)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2930736535:i=131_1199 on theBenchmark for (1199ds/131Mi) 0.23/0.48 % (31836)Running in auto input_syntax mode. Trying TPTP 0.23/0.48 % (31842)ott+31_1_sil=16000:bce=on:lcm=predicate:newcnf=on:random_seed=3692293850:i=116_1199 on theBenchmark for (1199ds/116Mi) 0.23/0.48 % (31836)Running in auto input_syntax mode. Trying TPTP 0.23/0.48 % (31839)dis+11_61:31_drc=ordering:lsd=5:abs=on:bsr=unit_only:rp=on:newcnf=on:random_seed=3625550996:i=135531:add=off:rawr=on_1199 on theBenchmark for (1199ds/135531Mi) 0.23/0.48 % (31836)Running in auto input_syntax mode. Trying TPTP 0.23/0.48 % (31841)dis+10_1_sil=32000:sp=arity:random_seed=3762394187:i=103:fgj=on_1199 on theBenchmark for (1199ds/103Mi) 0.23/0.48 % (31836)Running in auto input_syntax mode. Trying TPTP 0.23/0.48 % (31838)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2810828347_1199 on theBenchmark for (1199ds/0Mi) 0.23/0.48 % (31836)Running in auto input_syntax mode. Trying TPTP 0.23/0.48 % (31840)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1213482239:gsem=randomized:i=88024:add=on:uhcvi=off:rawr=on_1199 on theBenchmark for (1199ds/88024Mi) 0.23/0.53 % (31842)Instruction limit reached! 0.23/0.53 % (31842)------------------------------ 0.23/0.53 % (31842)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.23/0.53 % (31842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.23/0.53 % (31842)Termination reason: Instruction limit 0.23/0.53 % (31842)Termination phase: Saturation 0.23/0.53 0.23/0.53 % (31842)Time elapsed: 0.049 s 0.23/0.53 % (31842)Peak memory usage: 9 MB 0.23/0.53 % (31842)Instructions burned: 118 (million) 0.23/0.53 % (31844)Instruction limit reached! 0.23/0.53 % (31844)------------------------------ 0.23/0.53 % (31844)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.23/0.53 % (31844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.23/0.53 % (31844)Termination reason: Instruction limit 0.23/0.53 % (31844)Termination phase: Saturation 0.23/0.53 0.23/0.53 % (31844)Time elapsed: 0.054 s 0.23/0.53 % (31844)Peak memory usage: 10 MB 0.23/0.53 % (31844)Instructions burned: 160 (million) 0.23/0.53 % (31841)Instruction limit reached! 0.23/0.53 % (31841)------------------------------ 0.23/0.53 % (31841)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.23/0.53 % (31841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.23/0.53 % (31841)Termination reason: Instruction limit 0.23/0.53 % (31841)Termination phase: Saturation 0.23/0.53 0.23/0.53 % (31841)Time elapsed: 0.054 s 0.23/0.53 % (31841)Peak memory usage: 9 MB 0.23/0.53 % (31841)Instructions burned: 105 (million) 1.11/0.54 % (31843)Instruction limit reached! 1.11/0.54 % (31843)------------------------------ 1.11/0.54 % (31843)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.11/0.54 % (31843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.11/0.54 % (31843)Termination reason: Instruction limit 1.11/0.54 % (31843)Termination phase: Saturation 1.11/0.54 1.11/0.54 % (31843)Time elapsed: 0.061 s 1.11/0.54 % (31843)Peak memory usage: 10 MB 1.11/0.54 % (31843)Instructions burned: 133 (million) 1.18/0.58 % (31836)Running in auto input_syntax mode. Trying TPTP 1.18/0.58 % (31852)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3355138339:i=714:nm=2_1198 on theBenchmark for (1198ds/714Mi) 1.18/0.58 % (31836)Running in auto input_syntax mode. Trying TPTP 1.18/0.58 % (31853)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2463843840:i=131:bd=preordered:fsd=on_1198 on theBenchmark for (1198ds/131Mi) 1.18/0.58 % (31836)Running in auto input_syntax mode. Trying TPTP 1.18/0.58 % (31854)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=182716839:i=684:slsql=off:nicw=on:bs=unit_only:rawr=on_1198 on theBenchmark for (1198ds/684Mi) 1.18/0.58 % (31836)Running in auto input_syntax mode. Trying TPTP 1.18/0.58 % (31855)ott-21_1_sil=16000:fs=off:random_seed=1806171486:i=180:av=off:fsr=off_1198 on theBenchmark for (1198ds/180Mi) 1.18/0.63 % (31853)Instruction limit reached! 1.18/0.63 % (31853)------------------------------ 1.18/0.63 % (31853)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.18/0.63 % (31853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.18/0.63 % (31853)Termination reason: Instruction limit 1.18/0.63 % (31853)Termination phase: Saturation 1.18/0.63 1.18/0.63 % (31853)Time elapsed: 0.046 s 1.18/0.63 % (31853)Peak memory usage: 10 MB 1.18/0.63 % (31853)Instructions burned: 133 (million) 1.50/0.63 % (31855)Instruction limit reached! 1.50/0.63 % (31855)------------------------------ 1.50/0.63 % (31855)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.50/0.63 % (31855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.50/0.63 % (31855)Termination reason: Instruction limit 1.50/0.63 % (31855)Termination phase: Saturation 1.50/0.63 1.50/0.63 % (31855)Time elapsed: 0.050 s 1.50/0.63 % (31855)Peak memory usage: 9 MB 1.50/0.63 % (31855)Instructions burned: 181 (million) 1.50/0.65 % TRYING [1] 1.50/0.66 % TRYING [2] 1.73/0.67 % (31836)Running in auto input_syntax mode. Trying TPTP 1.73/0.67 % (31861)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2572632168:i=477:bd=all_1197 on theBenchmark for (1197ds/477Mi) 1.73/0.68 % (31836)Running in auto input_syntax mode. Trying TPTP 1.73/0.68 % (31862)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2282345847:fmbsr=1.3:i=865:ins=25_1197 on theBenchmark for (1197ds/865Mi) 1.73/0.70 % Finite Model Found! 1.73/0.70 % SZS status Satisfiable for theBenchmark 1.73/0.71 % (31852)First to succeed. 1.73/0.71 % (31852)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31836" 1.73/0.71 % (31836)Running in auto input_syntax mode. Trying TPTP 1.73/0.71 % SZS output start FiniteModel for theBenchmark 1.73/0.71 tff('declare_$i1',type,'fmb_$i_1':$i). 1.73/0.71 tff('finite_domain_$i',axiom, 1.73/0.71 ! [X:$i] : ( 1.73/0.71 X = 'fmb_$i_1' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('declare_B_a_b_vec_fun$',type,'B_a_b_vec_fun$':$tType). 1.73/0.71 tff('declare_B_a_b_vec_fun$1',type,'fmb_B_a_b_vec_fun$_1':'B_a_b_vec_fun$'). 1.73/0.71 tff('declare_B_a_b_vec_fun$2',type,'fmb_B_a_b_vec_fun$_2':'B_a_b_vec_fun$'). 1.73/0.71 tff('finite_domain_B_a_b_vec_fun$',axiom, 1.73/0.71 ! [X:'B_a_b_vec_fun$'] : ( 1.73/0.71 X = 'fmb_B_a_b_vec_fun$_1' | X = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_B_a_b_vec_fun$',axiom, 1.73/0.71 'fmb_B_a_b_vec_fun$_1' != 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec_n_vec_a_fun$',type,'A_b_vec_n_vec_a_fun$':$tType). 1.73/0.71 tff('declare_A_b_vec_n_vec_a_fun$1',type,'fmb_A_b_vec_n_vec_a_fun$_1':'A_b_vec_n_vec_a_fun$'). 1.73/0.71 tff('declare_A_b_vec_n_vec_a_fun$2',type,'fmb_A_b_vec_n_vec_a_fun$_2':'A_b_vec_n_vec_a_fun$'). 1.73/0.71 tff('finite_domain_A_b_vec_n_vec_a_fun$',axiom, 1.73/0.71 ! [X:'A_b_vec_n_vec_a_fun$'] : ( 1.73/0.71 X = 'fmb_A_b_vec_n_vec_a_fun$_1' | X = 'fmb_A_b_vec_n_vec_a_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_b_vec_n_vec_a_fun$',axiom, 1.73/0.71 'fmb_A_b_vec_n_vec_a_fun$_1' != 'fmb_A_b_vec_n_vec_a_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_a_b_vec_n_vec_bool_fun_fun$',type,'N_a_b_vec_n_vec_bool_fun_fun$':$tType). 1.73/0.71 tff('declare_N_a_b_vec_n_vec_bool_fun_fun$1',type,'fmb_N_a_b_vec_n_vec_bool_fun_fun$_1':'N_a_b_vec_n_vec_bool_fun_fun$'). 1.73/0.71 tff('declare_N_a_b_vec_n_vec_bool_fun_fun$2',type,'fmb_N_a_b_vec_n_vec_bool_fun_fun$_2':'N_a_b_vec_n_vec_bool_fun_fun$'). 1.73/0.71 tff('finite_domain_N_a_b_vec_n_vec_bool_fun_fun$',axiom, 1.73/0.71 ! [X:'N_a_b_vec_n_vec_bool_fun_fun$'] : ( 1.73/0.71 X = 'fmb_N_a_b_vec_n_vec_bool_fun_fun$_1' | X = 'fmb_N_a_b_vec_n_vec_bool_fun_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_a_b_vec_n_vec_bool_fun_fun$',axiom, 1.73/0.71 'fmb_N_a_b_vec_n_vec_bool_fun_fun$_1' != 'fmb_N_a_b_vec_n_vec_bool_fun_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec_n_vec$',type,'A_b_vec_n_vec$':$tType). 1.73/0.71 tff('declare_A_b_vec_n_vec$1',type,'fmb_A_b_vec_n_vec$_1':'A_b_vec_n_vec$'). 1.73/0.71 tff('declare_A_b_vec_n_vec$2',type,'fmb_A_b_vec_n_vec$_2':'A_b_vec_n_vec$'). 1.73/0.71 tff('finite_domain_A_b_vec_n_vec$',axiom, 1.73/0.71 ! [X:'A_b_vec_n_vec$'] : ( 1.73/0.71 X = 'fmb_A_b_vec_n_vec$_1' | X = 'fmb_A_b_vec_n_vec$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_b_vec_n_vec$',axiom, 1.73/0.71 'fmb_A_b_vec_n_vec$_1' != 'fmb_A_b_vec_n_vec$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_a_b_vec_n_vec_n_vec_fun$',type,'N_a_b_vec_n_vec_n_vec_fun$':$tType). 1.73/0.71 tff('declare_N_a_b_vec_n_vec_n_vec_fun$1',type,'fmb_N_a_b_vec_n_vec_n_vec_fun$_1':'N_a_b_vec_n_vec_n_vec_fun$'). 1.73/0.71 tff('declare_N_a_b_vec_n_vec_n_vec_fun$2',type,'fmb_N_a_b_vec_n_vec_n_vec_fun$_2':'N_a_b_vec_n_vec_n_vec_fun$'). 1.73/0.71 tff('finite_domain_N_a_b_vec_n_vec_n_vec_fun$',axiom, 1.73/0.71 ! [X:'N_a_b_vec_n_vec_n_vec_fun$'] : ( 1.73/0.71 X = 'fmb_N_a_b_vec_n_vec_n_vec_fun$_1' | X = 'fmb_N_a_b_vec_n_vec_n_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_a_b_vec_n_vec_n_vec_fun$',axiom, 1.73/0.71 'fmb_N_a_b_vec_n_vec_n_vec_fun$_1' != 'fmb_N_a_b_vec_n_vec_n_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec_a_b_vec_fun$',type,'A_b_vec_a_b_vec_fun$':$tType). 1.73/0.71 tff('declare_A_b_vec_a_b_vec_fun$1',type,'fmb_A_b_vec_a_b_vec_fun$_1':'A_b_vec_a_b_vec_fun$'). 1.73/0.71 tff('declare_A_b_vec_a_b_vec_fun$2',type,'fmb_A_b_vec_a_b_vec_fun$_2':'A_b_vec_a_b_vec_fun$'). 1.73/0.71 tff('finite_domain_A_b_vec_a_b_vec_fun$',axiom, 1.73/0.71 ! [X:'A_b_vec_a_b_vec_fun$'] : ( 1.73/0.71 X = 'fmb_A_b_vec_a_b_vec_fun$_1' | X = 'fmb_A_b_vec_a_b_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_b_vec_a_b_vec_fun$',axiom, 1.73/0.71 'fmb_A_b_vec_a_b_vec_fun$_1' != 'fmb_A_b_vec_a_b_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_a_n_vec_fun$',type,'A_a_n_vec_fun$':$tType). 1.73/0.71 tff('declare_A_a_n_vec_fun$1',type,'fmb_A_a_n_vec_fun$_1':'A_a_n_vec_fun$'). 1.73/0.71 tff('declare_A_a_n_vec_fun$2',type,'fmb_A_a_n_vec_fun$_2':'A_a_n_vec_fun$'). 1.73/0.71 tff('finite_domain_A_a_n_vec_fun$',axiom, 1.73/0.71 ! [X:'A_a_n_vec_fun$'] : ( 1.73/0.71 X = 'fmb_A_a_n_vec_fun$_1' | X = 'fmb_A_a_n_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_a_n_vec_fun$',axiom, 1.73/0.71 'fmb_A_a_n_vec_fun$_1' != 'fmb_A_a_n_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_a_b_vec_bool_fun_fun$',type,'N_a_b_vec_bool_fun_fun$':$tType). 1.73/0.71 tff('declare_N_a_b_vec_bool_fun_fun$1',type,'fmb_N_a_b_vec_bool_fun_fun$_1':'N_a_b_vec_bool_fun_fun$'). 1.73/0.71 tff('declare_N_a_b_vec_bool_fun_fun$2',type,'fmb_N_a_b_vec_bool_fun_fun$_2':'N_a_b_vec_bool_fun_fun$'). 1.73/0.71 tff('finite_domain_N_a_b_vec_bool_fun_fun$',axiom, 1.73/0.71 ! [X:'N_a_b_vec_bool_fun_fun$'] : ( 1.73/0.71 X = 'fmb_N_a_b_vec_bool_fun_fun$_1' | X = 'fmb_N_a_b_vec_bool_fun_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_a_b_vec_bool_fun_fun$',axiom, 1.73/0.71 'fmb_N_a_b_vec_bool_fun_fun$_1' != 'fmb_N_a_b_vec_bool_fun_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_n_vec_a_fun$',type,'A_n_vec_a_fun$':$tType). 1.73/0.71 tff('declare_A_n_vec_a_fun$1',type,'fmb_A_n_vec_a_fun$_1':'A_n_vec_a_fun$'). 1.73/0.71 tff('declare_A_n_vec_a_fun$2',type,'fmb_A_n_vec_a_fun$_2':'A_n_vec_a_fun$'). 1.73/0.71 tff('finite_domain_A_n_vec_a_fun$',axiom, 1.73/0.71 ! [X:'A_n_vec_a_fun$'] : ( 1.73/0.71 X = 'fmb_A_n_vec_a_fun$_1' | X = 'fmb_A_n_vec_a_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_n_vec_a_fun$',axiom, 1.73/0.71 'fmb_A_n_vec_a_fun$_1' != 'fmb_A_n_vec_a_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_n_vec_b_vec$',type,'A_n_vec_b_vec$':$tType). 1.73/0.71 tff('declare_A_n_vec_b_vec$1',type,'fmb_A_n_vec_b_vec$_1':'A_n_vec_b_vec$'). 1.73/0.71 tff('finite_domain_A_n_vec_b_vec$',axiom, 1.73/0.71 ! [X:'A_n_vec_b_vec$'] : ( 1.73/0.71 X = 'fmb_A_n_vec_b_vec$_1' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec_n_vec_n_vec$',type,'A_b_vec_n_vec_n_vec$':$tType). 1.73/0.71 tff('declare_A_b_vec_n_vec_n_vec$1',type,'fmb_A_b_vec_n_vec_n_vec$_1':'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('declare_A_b_vec_n_vec_n_vec$2',type,'fmb_A_b_vec_n_vec_n_vec$_2':'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('finite_domain_A_b_vec_n_vec_n_vec$',axiom, 1.73/0.71 ! [X:'A_b_vec_n_vec_n_vec$'] : ( 1.73/0.71 X = 'fmb_A_b_vec_n_vec_n_vec$_1' | X = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_b_vec_n_vec_n_vec$',axiom, 1.73/0.71 'fmb_A_b_vec_n_vec_n_vec$_1' != 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_a_n_vec_fun$',type,'N_a_n_vec_fun$':$tType). 1.73/0.71 tff('declare_N_a_n_vec_fun$1',type,'fmb_N_a_n_vec_fun$_1':'N_a_n_vec_fun$'). 1.73/0.71 tff('declare_N_a_n_vec_fun$2',type,'fmb_N_a_n_vec_fun$_2':'N_a_n_vec_fun$'). 1.73/0.71 tff('finite_domain_N_a_n_vec_fun$',axiom, 1.73/0.71 ! [X:'N_a_n_vec_fun$'] : ( 1.73/0.71 X = 'fmb_N_a_n_vec_fun$_1' | X = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_a_n_vec_fun$',axiom, 1.73/0.71 'fmb_N_a_n_vec_fun$_1' != 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_n_vec_a_b_vec_fun$',type,'A_n_vec_a_b_vec_fun$':$tType). 1.73/0.71 tff('declare_A_n_vec_a_b_vec_fun$1',type,'fmb_A_n_vec_a_b_vec_fun$_1':'A_n_vec_a_b_vec_fun$'). 1.73/0.71 tff('declare_A_n_vec_a_b_vec_fun$2',type,'fmb_A_n_vec_a_b_vec_fun$_2':'A_n_vec_a_b_vec_fun$'). 1.73/0.71 tff('finite_domain_A_n_vec_a_b_vec_fun$',axiom, 1.73/0.71 ! [X:'A_n_vec_a_b_vec_fun$'] : ( 1.73/0.71 X = 'fmb_A_n_vec_a_b_vec_fun$_1' | X = 'fmb_A_n_vec_a_b_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_n_vec_a_b_vec_fun$',axiom, 1.73/0.71 'fmb_A_n_vec_a_b_vec_fun$_1' != 'fmb_A_n_vec_a_b_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_a_b_vec_fun$',type,'A_a_b_vec_fun$':$tType). 1.73/0.71 tff('declare_A_a_b_vec_fun$1',type,'fmb_A_a_b_vec_fun$_1':'A_a_b_vec_fun$'). 1.73/0.71 tff('declare_A_a_b_vec_fun$2',type,'fmb_A_a_b_vec_fun$_2':'A_a_b_vec_fun$'). 1.73/0.71 tff('finite_domain_A_a_b_vec_fun$',axiom, 1.73/0.71 ! [X:'A_a_b_vec_fun$'] : ( 1.73/0.71 X = 'fmb_A_a_b_vec_fun$_1' | X = 'fmb_A_a_b_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_a_b_vec_fun$',axiom, 1.73/0.71 'fmb_A_a_b_vec_fun$_1' != 'fmb_A_a_b_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec_b_vec$',type,'A_b_vec_b_vec$':$tType). 1.73/0.71 tff('declare_A_b_vec_b_vec$1',type,'fmb_A_b_vec_b_vec$_1':'A_b_vec_b_vec$'). 1.73/0.71 tff('declare_A_b_vec_b_vec$2',type,'fmb_A_b_vec_b_vec$_2':'A_b_vec_b_vec$'). 1.73/0.71 tff('finite_domain_A_b_vec_b_vec$',axiom, 1.73/0.71 ! [X:'A_b_vec_b_vec$'] : ( 1.73/0.71 X = 'fmb_A_b_vec_b_vec$_1' | X = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_b_vec_b_vec$',axiom, 1.73/0.71 'fmb_A_b_vec_b_vec$_1' != 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_n_vec_n_vec$',type,'A_n_vec_n_vec$':$tType). 1.73/0.71 tff('declare_A_n_vec_n_vec$1',type,'fmb_A_n_vec_n_vec$_1':'A_n_vec_n_vec$'). 1.73/0.71 tff('declare_A_n_vec_n_vec$2',type,'fmb_A_n_vec_n_vec$_2':'A_n_vec_n_vec$'). 1.73/0.71 tff('finite_domain_A_n_vec_n_vec$',axiom, 1.73/0.71 ! [X:'A_n_vec_n_vec$'] : ( 1.73/0.71 X = 'fmb_A_n_vec_n_vec$_1' | X = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_n_vec_n_vec$',axiom, 1.73/0.71 'fmb_A_n_vec_n_vec$_1' != 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_a_n_vec_bool_fun_fun$',type,'N_a_n_vec_bool_fun_fun$':$tType). 1.73/0.71 tff('declare_N_a_n_vec_bool_fun_fun$1',type,'fmb_N_a_n_vec_bool_fun_fun$_1':'N_a_n_vec_bool_fun_fun$'). 1.73/0.71 tff('declare_N_a_n_vec_bool_fun_fun$2',type,'fmb_N_a_n_vec_bool_fun_fun$_2':'N_a_n_vec_bool_fun_fun$'). 1.73/0.71 tff('finite_domain_N_a_n_vec_bool_fun_fun$',axiom, 1.73/0.71 ! [X:'N_a_n_vec_bool_fun_fun$'] : ( 1.73/0.71 X = 'fmb_N_a_n_vec_bool_fun_fun$_1' | X = 'fmb_N_a_n_vec_bool_fun_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_a_n_vec_bool_fun_fun$',axiom, 1.73/0.71 'fmb_N_a_n_vec_bool_fun_fun$_1' != 'fmb_N_a_n_vec_bool_fun_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_B$',type,'B$':$tType). 1.73/0.71 tff('declare_B$1',type,'fmb_B$_1':'B$'). 1.73/0.71 tff('finite_domain_B$',axiom, 1.73/0.71 ! [X:'B$'] : ( 1.73/0.71 X = 'fmb_B$_1' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('declare_A_a_b_vec_n_vec_fun$',type,'A_a_b_vec_n_vec_fun$':$tType). 1.73/0.71 tff('declare_A_a_b_vec_n_vec_fun$1',type,'fmb_A_a_b_vec_n_vec_fun$_1':'A_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('declare_A_a_b_vec_n_vec_fun$2',type,'fmb_A_a_b_vec_n_vec_fun$_2':'A_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('finite_domain_A_a_b_vec_n_vec_fun$',axiom, 1.73/0.71 ! [X:'A_a_b_vec_n_vec_fun$'] : ( 1.73/0.71 X = 'fmb_A_a_b_vec_n_vec_fun$_1' | X = 'fmb_A_a_b_vec_n_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_a_b_vec_n_vec_fun$',axiom, 1.73/0.71 'fmb_A_a_b_vec_n_vec_fun$_1' != 'fmb_A_a_b_vec_n_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec$',type,'A_b_vec$':$tType). 1.73/0.71 tff('declare_A_b_vec$1',type,'fmb_A_b_vec$_1':'A_b_vec$'). 1.73/0.71 tff('declare_A_b_vec$2',type,'fmb_A_b_vec$_2':'A_b_vec$'). 1.73/0.71 tff('finite_domain_A_b_vec$',axiom, 1.73/0.71 ! [X:'A_b_vec$'] : ( 1.73/0.71 X = 'fmb_A_b_vec$_1' | X = 'fmb_A_b_vec$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_b_vec$',axiom, 1.73/0.71 'fmb_A_b_vec$_1' != 'fmb_A_b_vec$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N$',type,'N$':$tType). 1.73/0.71 tff('declare_N$1',type,'fmb_N$_1':'N$'). 1.73/0.71 tff('finite_domain_N$',axiom, 1.73/0.71 ! [X:'N$'] : ( 1.73/0.71 X = 'fmb_N$_1' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('declare_N_a_b_vec_b_vec_fun$',type,'N_a_b_vec_b_vec_fun$':$tType). 1.73/0.71 tff('declare_N_a_b_vec_b_vec_fun$1',type,'fmb_N_a_b_vec_b_vec_fun$_1':'N_a_b_vec_b_vec_fun$'). 1.73/0.71 tff('declare_N_a_b_vec_b_vec_fun$2',type,'fmb_N_a_b_vec_b_vec_fun$_2':'N_a_b_vec_b_vec_fun$'). 1.73/0.71 tff('finite_domain_N_a_b_vec_b_vec_fun$',axiom, 1.73/0.71 ! [X:'N_a_b_vec_b_vec_fun$'] : ( 1.73/0.71 X = 'fmb_N_a_b_vec_b_vec_fun$_1' | X = 'fmb_N_a_b_vec_b_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_a_b_vec_b_vec_fun$',axiom, 1.73/0.71 'fmb_N_a_b_vec_b_vec_fun$_1' != 'fmb_N_a_b_vec_b_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec_n_vec_bool_fun$',type,'A_b_vec_n_vec_bool_fun$':$tType). 1.73/0.71 tff('declare_A_b_vec_n_vec_bool_fun$1',type,'fmb_A_b_vec_n_vec_bool_fun$_1':'A_b_vec_n_vec_bool_fun$'). 1.73/0.71 tff('declare_A_b_vec_n_vec_bool_fun$2',type,'fmb_A_b_vec_n_vec_bool_fun$_2':'A_b_vec_n_vec_bool_fun$'). 1.73/0.71 tff('finite_domain_A_b_vec_n_vec_bool_fun$',axiom, 1.73/0.71 ! [X:'A_b_vec_n_vec_bool_fun$'] : ( 1.73/0.71 X = 'fmb_A_b_vec_n_vec_bool_fun$_1' | X = 'fmb_A_b_vec_n_vec_bool_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_b_vec_n_vec_bool_fun$',axiom, 1.73/0.71 'fmb_A_b_vec_n_vec_bool_fun$_1' != 'fmb_A_b_vec_n_vec_bool_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_B_a_fun$',type,'B_a_fun$':$tType). 1.73/0.71 tff('declare_B_a_fun$1',type,'fmb_B_a_fun$_1':'B_a_fun$'). 1.73/0.71 tff('declare_B_a_fun$2',type,'fmb_B_a_fun$_2':'B_a_fun$'). 1.73/0.71 tff('finite_domain_B_a_fun$',axiom, 1.73/0.71 ! [X:'B_a_fun$'] : ( 1.73/0.71 X = 'fmb_B_a_fun$_1' | X = 'fmb_B_a_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_B_a_fun$',axiom, 1.73/0.71 'fmb_B_a_fun$_1' != 'fmb_B_a_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff(declare_tlbool,type,tlbool:$tType). 1.73/0.71 tff(declare_tlbool1,type,fmb_tlbool_1:tlbool). 1.73/0.71 tff(declare_tlbool2,type,fmb_tlbool_2:tlbool). 1.73/0.71 tff(finite_domain_tlbool,axiom, 1.73/0.71 ! [X:tlbool] : ( 1.73/0.71 X = fmb_tlbool_1 | X = fmb_tlbool_2 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff(distinct_domain_tlbool,axiom, 1.73/0.71 fmb_tlbool_1 != fmb_tlbool_2 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_a_bool_fun_fun$',type,'N_a_bool_fun_fun$':$tType). 1.73/0.71 tff('declare_N_a_bool_fun_fun$1',type,'fmb_N_a_bool_fun_fun$_1':'N_a_bool_fun_fun$'). 1.73/0.71 tff('declare_N_a_bool_fun_fun$2',type,'fmb_N_a_bool_fun_fun$_2':'N_a_bool_fun_fun$'). 1.73/0.71 tff('finite_domain_N_a_bool_fun_fun$',axiom, 1.73/0.71 ! [X:'N_a_bool_fun_fun$'] : ( 1.73/0.71 X = 'fmb_N_a_bool_fun_fun$_1' | X = 'fmb_N_a_bool_fun_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_a_bool_fun_fun$',axiom, 1.73/0.71 'fmb_N_a_bool_fun_fun$_1' != 'fmb_N_a_bool_fun_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_bool_fun$',type,'A_bool_fun$':$tType). 1.73/0.71 tff('declare_A_bool_fun$1',type,'fmb_A_bool_fun$_1':'A_bool_fun$'). 1.73/0.71 tff('declare_A_bool_fun$2',type,'fmb_A_bool_fun$_2':'A_bool_fun$'). 1.73/0.71 tff('finite_domain_A_bool_fun$',axiom, 1.73/0.71 ! [X:'A_bool_fun$'] : ( 1.73/0.71 X = 'fmb_A_bool_fun$_1' | X = 'fmb_A_bool_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_bool_fun$',axiom, 1.73/0.71 'fmb_A_bool_fun$_1' != 'fmb_A_bool_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_a_fun$',type,'N_a_fun$':$tType). 1.73/0.71 tff('declare_N_a_fun$1',type,'fmb_N_a_fun$_1':'N_a_fun$'). 1.73/0.71 tff('declare_N_a_fun$2',type,'fmb_N_a_fun$_2':'N_a_fun$'). 1.73/0.71 tff('finite_domain_N_a_fun$',axiom, 1.73/0.71 ! [X:'N_a_fun$'] : ( 1.73/0.71 X = 'fmb_N_a_fun$_1' | X = 'fmb_N_a_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_a_fun$',axiom, 1.73/0.71 'fmb_N_a_fun$_1' != 'fmb_N_a_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_a_b_vec_fun$',type,'N_a_b_vec_fun$':$tType). 1.73/0.71 tff('declare_N_a_b_vec_fun$1',type,'fmb_N_a_b_vec_fun$_1':'N_a_b_vec_fun$'). 1.73/0.71 tff('declare_N_a_b_vec_fun$2',type,'fmb_N_a_b_vec_fun$_2':'N_a_b_vec_fun$'). 1.73/0.71 tff('finite_domain_N_a_b_vec_fun$',axiom, 1.73/0.71 ! [X:'N_a_b_vec_fun$'] : ( 1.73/0.71 X = 'fmb_N_a_b_vec_fun$_1' | X = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_a_b_vec_fun$',axiom, 1.73/0.71 'fmb_N_a_b_vec_fun$_1' != 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec_n_vec_a_b_vec_n_vec_fun$',type,'A_b_vec_n_vec_a_b_vec_n_vec_fun$':$tType). 1.73/0.71 tff('declare_A_b_vec_n_vec_a_b_vec_n_vec_fun$1',type,'fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_1':'A_b_vec_n_vec_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('declare_A_b_vec_n_vec_a_b_vec_n_vec_fun$2',type,'fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_2':'A_b_vec_n_vec_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('finite_domain_A_b_vec_n_vec_a_b_vec_n_vec_fun$',axiom, 1.73/0.71 ! [X:'A_b_vec_n_vec_a_b_vec_n_vec_fun$'] : ( 1.73/0.71 X = 'fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_1' | X = 'fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_b_vec_n_vec_a_b_vec_n_vec_fun$',axiom, 1.73/0.71 'fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_1' != 'fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A$',type,'A$':$tType). 1.73/0.71 tff('declare_A$1',type,'fmb_A$_1':'A$'). 1.73/0.71 tff('declare_A$2',type,'fmb_A$_2':'A$'). 1.73/0.71 tff('finite_domain_A$',axiom, 1.73/0.71 ! [X:'A$'] : ( 1.73/0.71 X = 'fmb_A$_1' | X = 'fmb_A$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A$',axiom, 1.73/0.71 'fmb_A$_1' != 'fmb_A$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_n_fun$',type,'N_n_fun$':$tType). 1.73/0.71 tff('declare_N_n_fun$1',type,'fmb_N_n_fun$_1':'N_n_fun$'). 1.73/0.71 tff('declare_N_n_fun$2',type,'fmb_N_n_fun$_2':'N_n_fun$'). 1.73/0.71 tff('finite_domain_N_n_fun$',axiom, 1.73/0.71 ! [X:'N_n_fun$'] : ( 1.73/0.71 X = 'fmb_N_n_fun$_1' | X = 'fmb_N_n_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_n_fun$',axiom, 1.73/0.71 'fmb_N_n_fun$_1' != 'fmb_N_n_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_n_vec$',type,'A_n_vec$':$tType). 1.73/0.71 tff('declare_A_n_vec$1',type,'fmb_A_n_vec$_1':'A_n_vec$'). 1.73/0.71 tff('declare_A_n_vec$2',type,'fmb_A_n_vec$_2':'A_n_vec$'). 1.73/0.71 tff('finite_domain_A_n_vec$',axiom, 1.73/0.71 ! [X:'A_n_vec$'] : ( 1.73/0.71 X = 'fmb_A_n_vec$_1' | X = 'fmb_A_n_vec$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_n_vec$',axiom, 1.73/0.71 'fmb_A_n_vec$_1' != 'fmb_A_n_vec$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec_b_vec_n_vec$',type,'A_b_vec_b_vec_n_vec$':$tType). 1.73/0.71 tff('declare_A_b_vec_b_vec_n_vec$1',type,'fmb_A_b_vec_b_vec_n_vec$_1':'A_b_vec_b_vec_n_vec$'). 1.73/0.71 tff('finite_domain_A_b_vec_b_vec_n_vec$',axiom, 1.73/0.71 ! [X:'A_b_vec_b_vec_n_vec$'] : ( 1.73/0.71 X = 'fmb_A_b_vec_b_vec_n_vec$_1' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('declare_A_n_vec_a_n_vec_fun$',type,'A_n_vec_a_n_vec_fun$':$tType). 1.73/0.71 tff('declare_A_n_vec_a_n_vec_fun$1',type,'fmb_A_n_vec_a_n_vec_fun$_1':'A_n_vec_a_n_vec_fun$'). 1.73/0.71 tff('declare_A_n_vec_a_n_vec_fun$2',type,'fmb_A_n_vec_a_n_vec_fun$_2':'A_n_vec_a_n_vec_fun$'). 1.73/0.71 tff('finite_domain_A_n_vec_a_n_vec_fun$',axiom, 1.73/0.71 ! [X:'A_n_vec_a_n_vec_fun$'] : ( 1.73/0.71 X = 'fmb_A_n_vec_a_n_vec_fun$_1' | X = 'fmb_A_n_vec_a_n_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_n_vec_a_n_vec_fun$',axiom, 1.73/0.71 'fmb_A_n_vec_a_n_vec_fun$_1' != 'fmb_A_n_vec_a_n_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_B_a_n_vec_fun$',type,'B_a_n_vec_fun$':$tType). 1.73/0.71 tff('declare_B_a_n_vec_fun$1',type,'fmb_B_a_n_vec_fun$_1':'B_a_n_vec_fun$'). 1.73/0.71 tff('declare_B_a_n_vec_fun$2',type,'fmb_B_a_n_vec_fun$_2':'B_a_n_vec_fun$'). 1.73/0.71 tff('finite_domain_B_a_n_vec_fun$',axiom, 1.73/0.71 ! [X:'B_a_n_vec_fun$'] : ( 1.73/0.71 X = 'fmb_B_a_n_vec_fun$_1' | X = 'fmb_B_a_n_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_B_a_n_vec_fun$',axiom, 1.73/0.71 'fmb_B_a_n_vec_fun$_1' != 'fmb_B_a_n_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_a_fun$',type,'A_a_fun$':$tType). 1.73/0.71 tff('declare_A_a_fun$1',type,'fmb_A_a_fun$_1':'A_a_fun$'). 1.73/0.71 tff('declare_A_a_fun$2',type,'fmb_A_a_fun$_2':'A_a_fun$'). 1.73/0.71 tff('finite_domain_A_a_fun$',axiom, 1.73/0.71 ! [X:'A_a_fun$'] : ( 1.73/0.71 X = 'fmb_A_a_fun$_1' | X = 'fmb_A_a_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_a_fun$',axiom, 1.73/0.71 'fmb_A_a_fun$_1' != 'fmb_A_a_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec_n_vec_n_vec_n_vec$',type,'A_b_vec_n_vec_n_vec_n_vec$':$tType). 1.73/0.71 tff('declare_A_b_vec_n_vec_n_vec_n_vec$1',type,'fmb_A_b_vec_n_vec_n_vec_n_vec$_1':'A_b_vec_n_vec_n_vec_n_vec$'). 1.73/0.71 tff('declare_A_b_vec_n_vec_n_vec_n_vec$2',type,'fmb_A_b_vec_n_vec_n_vec_n_vec$_2':'A_b_vec_n_vec_n_vec_n_vec$'). 1.73/0.71 tff('finite_domain_A_b_vec_n_vec_n_vec_n_vec$',axiom, 1.73/0.71 ! [X:'A_b_vec_n_vec_n_vec_n_vec$'] : ( 1.73/0.71 X = 'fmb_A_b_vec_n_vec_n_vec_n_vec$_1' | X = 'fmb_A_b_vec_n_vec_n_vec_n_vec$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_b_vec_n_vec_n_vec_n_vec$',axiom, 1.73/0.71 'fmb_A_b_vec_n_vec_n_vec_n_vec$_1' != 'fmb_A_b_vec_n_vec_n_vec_n_vec$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_n_vec_n_vec_n_vec$',type,'A_n_vec_n_vec_n_vec$':$tType). 1.73/0.71 tff('declare_A_n_vec_n_vec_n_vec$1',type,'fmb_A_n_vec_n_vec_n_vec$_1':'A_n_vec_n_vec_n_vec$'). 1.73/0.71 tff('declare_A_n_vec_n_vec_n_vec$2',type,'fmb_A_n_vec_n_vec_n_vec$_2':'A_n_vec_n_vec_n_vec$'). 1.73/0.71 tff('finite_domain_A_n_vec_n_vec_n_vec$',axiom, 1.73/0.71 ! [X:'A_n_vec_n_vec_n_vec$'] : ( 1.73/0.71 X = 'fmb_A_n_vec_n_vec_n_vec$_1' | X = 'fmb_A_n_vec_n_vec_n_vec$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_n_vec_n_vec_n_vec$',axiom, 1.73/0.71 'fmb_A_n_vec_n_vec_n_vec$_1' != 'fmb_A_n_vec_n_vec_n_vec$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec_a_fun$',type,'A_b_vec_a_fun$':$tType). 1.73/0.71 tff('declare_A_b_vec_a_fun$1',type,'fmb_A_b_vec_a_fun$_1':'A_b_vec_a_fun$'). 1.73/0.71 tff('declare_A_b_vec_a_fun$2',type,'fmb_A_b_vec_a_fun$_2':'A_b_vec_a_fun$'). 1.73/0.71 tff('finite_domain_A_b_vec_a_fun$',axiom, 1.73/0.71 ! [X:'A_b_vec_a_fun$'] : ( 1.73/0.71 X = 'fmb_A_b_vec_a_fun$_1' | X = 'fmb_A_b_vec_a_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_b_vec_a_fun$',axiom, 1.73/0.71 'fmb_A_b_vec_a_fun$_1' != 'fmb_A_b_vec_a_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec_bool_fun$',type,'A_b_vec_bool_fun$':$tType). 1.73/0.71 tff('declare_A_b_vec_bool_fun$1',type,'fmb_A_b_vec_bool_fun$_1':'A_b_vec_bool_fun$'). 1.73/0.71 tff('declare_A_b_vec_bool_fun$2',type,'fmb_A_b_vec_bool_fun$_2':'A_b_vec_bool_fun$'). 1.73/0.71 tff('finite_domain_A_b_vec_bool_fun$',axiom, 1.73/0.71 ! [X:'A_b_vec_bool_fun$'] : ( 1.73/0.71 X = 'fmb_A_b_vec_bool_fun$_1' | X = 'fmb_A_b_vec_bool_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_b_vec_bool_fun$',axiom, 1.73/0.71 'fmb_A_b_vec_bool_fun$_1' != 'fmb_A_b_vec_bool_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$',type,'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$':$tType). 1.73/0.71 tff('declare_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$1',type,'fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_1':'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'). 1.73/0.71 tff('declare_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$2',type,'fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_2':'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'). 1.73/0.71 tff('finite_domain_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$',axiom, 1.73/0.71 ! [X:'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'] : ( 1.73/0.71 X = 'fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_1' | X = 'fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$',axiom, 1.73/0.71 'fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_1' != 'fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_A_n_vec_bool_fun$',type,'A_n_vec_bool_fun$':$tType). 1.73/0.71 tff('declare_A_n_vec_bool_fun$1',type,'fmb_A_n_vec_bool_fun$_1':'A_n_vec_bool_fun$'). 1.73/0.71 tff('declare_A_n_vec_bool_fun$2',type,'fmb_A_n_vec_bool_fun$_2':'A_n_vec_bool_fun$'). 1.73/0.71 tff('finite_domain_A_n_vec_bool_fun$',axiom, 1.73/0.71 ! [X:'A_n_vec_bool_fun$'] : ( 1.73/0.71 X = 'fmb_A_n_vec_bool_fun$_1' | X = 'fmb_A_n_vec_bool_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_A_n_vec_bool_fun$',axiom, 1.73/0.71 'fmb_A_n_vec_bool_fun$_1' != 'fmb_A_n_vec_bool_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_n_bool_fun_fun$',type,'N_n_bool_fun_fun$':$tType). 1.73/0.71 tff('declare_N_n_bool_fun_fun$1',type,'fmb_N_n_bool_fun_fun$_1':'N_n_bool_fun_fun$'). 1.73/0.71 tff('declare_N_n_bool_fun_fun$2',type,'fmb_N_n_bool_fun_fun$_2':'N_n_bool_fun_fun$'). 1.73/0.71 tff('finite_domain_N_n_bool_fun_fun$',axiom, 1.73/0.71 ! [X:'N_n_bool_fun_fun$'] : ( 1.73/0.71 X = 'fmb_N_n_bool_fun_fun$_1' | X = 'fmb_N_n_bool_fun_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_n_bool_fun_fun$',axiom, 1.73/0.71 'fmb_N_n_bool_fun_fun$_1' != 'fmb_N_n_bool_fun_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_B_a_bool_fun_fun$',type,'B_a_bool_fun_fun$':$tType). 1.73/0.71 tff('declare_B_a_bool_fun_fun$1',type,'fmb_B_a_bool_fun_fun$_1':'B_a_bool_fun_fun$'). 1.73/0.71 tff('declare_B_a_bool_fun_fun$2',type,'fmb_B_a_bool_fun_fun$_2':'B_a_bool_fun_fun$'). 1.73/0.71 tff('finite_domain_B_a_bool_fun_fun$',axiom, 1.73/0.71 ! [X:'B_a_bool_fun_fun$'] : ( 1.73/0.71 X = 'fmb_B_a_bool_fun_fun$_1' | X = 'fmb_B_a_bool_fun_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_B_a_bool_fun_fun$',axiom, 1.73/0.71 'fmb_B_a_bool_fun_fun$_1' != 'fmb_B_a_bool_fun_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_bool_fun$',type,'N_bool_fun$':$tType). 1.73/0.71 tff('declare_N_bool_fun$1',type,'fmb_N_bool_fun$_1':'N_bool_fun$'). 1.73/0.71 tff('declare_N_bool_fun$2',type,'fmb_N_bool_fun$_2':'N_bool_fun$'). 1.73/0.71 tff('finite_domain_N_bool_fun$',axiom, 1.73/0.71 ! [X:'N_bool_fun$'] : ( 1.73/0.71 X = 'fmb_N_bool_fun$_1' | X = 'fmb_N_bool_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_bool_fun$',axiom, 1.73/0.71 'fmb_N_bool_fun$_1' != 'fmb_N_bool_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_a_b_vec_n_vec_fun$',type,'N_a_b_vec_n_vec_fun$':$tType). 1.73/0.71 tff('declare_N_a_b_vec_n_vec_fun$1',type,'fmb_N_a_b_vec_n_vec_fun$_1':'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('declare_N_a_b_vec_n_vec_fun$2',type,'fmb_N_a_b_vec_n_vec_fun$_2':'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('finite_domain_N_a_b_vec_n_vec_fun$',axiom, 1.73/0.71 ! [X:'N_a_b_vec_n_vec_fun$'] : ( 1.73/0.71 X = 'fmb_N_a_b_vec_n_vec_fun$_1' | X = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_a_b_vec_n_vec_fun$',axiom, 1.73/0.71 'fmb_N_a_b_vec_n_vec_fun$_1' != 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_N_a_n_vec_n_vec_fun$',type,'N_a_n_vec_n_vec_fun$':$tType). 1.73/0.71 tff('declare_N_a_n_vec_n_vec_fun$1',type,'fmb_N_a_n_vec_n_vec_fun$_1':'N_a_n_vec_n_vec_fun$'). 1.73/0.71 tff('declare_N_a_n_vec_n_vec_fun$2',type,'fmb_N_a_n_vec_n_vec_fun$_2':'N_a_n_vec_n_vec_fun$'). 1.73/0.71 tff('finite_domain_N_a_n_vec_n_vec_fun$',axiom, 1.73/0.71 ! [X:'N_a_n_vec_n_vec_fun$'] : ( 1.73/0.71 X = 'fmb_N_a_n_vec_n_vec_fun$_1' | X = 'fmb_N_a_n_vec_n_vec_fun$_2' 1.73/0.71 ) ). 1.73/0.71 1.73/0.71 tff('distinct_domain_N_a_n_vec_n_vec_fun$',axiom, 1.73/0.71 'fmb_N_a_n_vec_n_vec_fun$_1' != 'fmb_N_a_n_vec_n_vec_fun$_2' 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_less$',type,'less$':'N_n_bool_fun_fun$'). 1.73/0.71 tff('less$_definition',axiom,'less$' = 'fmb_N_n_bool_fun_fun$_1'). 1.73/0.71 tff('declare_one$c',type,'one$c':'A_b_vec$'). 1.73/0.71 tff('one$c_definition',axiom,'one$c' = 'fmb_A_b_vec$_1'). 1.73/0.71 tff('declare_a$a',type,'a$a':'A_b_vec_n_vec$'). 1.73/0.71 tff('a$a_definition',axiom,'a$a' = 'fmb_A_b_vec_n_vec$_1'). 1.73/0.71 tff('declare_uwc$',type,'uwc$':'N_a_b_vec_fun$'). 1.73/0.71 tff('uwc$_definition',axiom,'uwc$' = 'fmb_N_a_b_vec_fun$_1'). 1.73/0.71 tff('declare_one$d',type,'one$d':'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('one$d_definition',axiom,'one$d' = 'fmb_A_b_vec_n_vec_n_vec$_1'). 1.73/0.71 tff('declare_m$',type,'m$':'N$'). 1.73/0.71 tff('m$_definition',axiom,'m$' = 'fmb_N$_1'). 1.73/0.71 tff('declare_zero$b',type,'zero$b':'A_b_vec_n_vec$'). 1.73/0.71 tff('zero$b_definition',axiom,'zero$b' = 'fmb_A_b_vec_n_vec$_1'). 1.73/0.71 tff('declare_zero$c',type,'zero$c':'A_n_vec$'). 1.73/0.71 tff('zero$c_definition',axiom,'zero$c' = 'fmb_A_n_vec$_1'). 1.73/0.71 tff('declare_uvu$',type,'uvu$':'B_a_fun$'). 1.73/0.71 tff('uvu$_definition',axiom,'uvu$' = 'fmb_B_a_fun$_1'). 1.73/0.71 tff('declare_zero$e',type,'zero$e':'A_n_vec_n_vec$'). 1.73/0.71 tff('zero$e_definition',axiom,'zero$e' = 'fmb_A_n_vec_n_vec$_1'). 1.73/0.71 tff('declare_uvz$',type,'uvz$':'B_a_b_vec_fun$'). 1.73/0.71 tff('uvz$_definition',axiom,'uvz$' = 'fmb_B_a_b_vec_fun$_1'). 1.73/0.71 tff('declare_uxu$',type,'uxu$':'A_n_vec_a_n_vec_fun$'). 1.73/0.71 tff('uxu$_definition',axiom,'uxu$' = 'fmb_A_n_vec_a_n_vec_fun$_1'). 1.73/0.71 tff('declare_i$',type,'i$':'N$'). 1.73/0.71 tff('i$_definition',axiom,'i$' = 'fmb_N$_1'). 1.73/0.71 tff('declare_n$',type,'n$':'N$'). 1.73/0.71 tff('n$_definition',axiom,'n$' = 'fmb_N$_1'). 1.73/0.71 tff('declare_uxp$',type,'uxp$':'A_n_vec_a_n_vec_fun$'). 1.73/0.71 tff('uxp$_definition',axiom,'uxp$' = 'fmb_A_n_vec_a_n_vec_fun$_2'). 1.73/0.71 tff('declare_zero$d',type,'zero$d':'A_b_vec$'). 1.73/0.71 tff('zero$d_definition',axiom,'zero$d' = 'fmb_A_b_vec$_2'). 1.73/0.71 tff('declare_uxx$',type,'uxx$':'A_b_vec_a_b_vec_fun$'). 1.73/0.71 tff('uxx$_definition',axiom,'uxx$' = 'fmb_A_b_vec_a_b_vec_fun$_1'). 1.73/0.71 tff('declare_uminus$c',type,'uminus$c':'A_a_fun$'). 1.73/0.71 tff('uminus$c_definition',axiom,'uminus$c' = 'fmb_A_a_fun$_1'). 1.73/0.71 tff('declare_uxt$',type,'uxt$':'A_a_fun$'). 1.73/0.71 tff('uxt$_definition',axiom,'uxt$' = 'fmb_A_a_fun$_1'). 1.73/0.71 tff('declare_one$',type,'one$':'A$'). 1.73/0.71 tff('one$_definition',axiom,'one$' = 'fmb_A$_1'). 1.73/0.71 tff('declare_uvy$',type,'uvy$':'N_a_n_vec_fun$'). 1.73/0.71 tff('uvy$_definition',axiom,'uvy$' = 'fmb_N_a_n_vec_fun$_1'). 1.73/0.71 tff('declare_uwa$',type,'uwa$':'B_a_fun$'). 1.73/0.71 tff('uwa$_definition',axiom,'uwa$' = 'fmb_B_a_fun$_2'). 1.73/0.71 tff('declare_a$',type,'a$':'A_b_vec_n_vec$'). 1.73/0.71 tff('a$_definition',axiom,'a$' = 'fmb_A_b_vec_n_vec$_2'). 1.73/0.71 tff('declare_uvv$',type,'uvv$':'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('uvv$_definition',axiom,'uvv$' = 'fmb_N_a_b_vec_n_vec_fun$_1'). 1.73/0.71 tff(declare_tltrue,type,tltrue:tlbool). 1.73/0.71 tff(tltrue_definition,axiom,tltrue = fmb_tlbool_1). 1.73/0.71 tff('declare_less_eq$',type,'less_eq$':'N_n_bool_fun_fun$'). 1.73/0.71 tff('less_eq$_definition',axiom,'less_eq$' = 'fmb_N_n_bool_fun_fun$_2'). 1.73/0.71 tff('declare_uwb$',type,'uwb$':'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('uwb$_definition',axiom,'uwb$' = 'fmb_N_a_b_vec_n_vec_fun$_2'). 1.73/0.71 tff('declare_j$',type,'j$':'B$'). 1.73/0.71 tff('j$_definition',axiom,'j$' = 'fmb_B$_1'). 1.73/0.71 tff('declare_uvr$',type,'uvr$':'N_a_fun$'). 1.73/0.71 tff('uvr$_definition',axiom,'uvr$' = 'fmb_N_a_fun$_1'). 1.73/0.71 tff('declare_uxs$',type,'uxs$':'A_b_vec_a_b_vec_fun$'). 1.73/0.71 tff('uxs$_definition',axiom,'uxs$' = 'fmb_A_b_vec_a_b_vec_fun$_2'). 1.73/0.71 tff('declare_uvw$',type,'uvw$':'N_a_b_vec_fun$'). 1.73/0.71 tff('uvw$_definition',axiom,'uvw$' = 'fmb_N_a_b_vec_fun$_2'). 1.73/0.71 tff('declare_one$b',type,'one$b':'A_n_vec$'). 1.73/0.71 tff('one$b_definition',axiom,'one$b' = 'fmb_A_n_vec$_2'). 1.73/0.71 tff('declare_uu$',type,'uu$':'N_bool_fun$'). 1.73/0.71 tff('uu$_definition',axiom,'uu$' = 'fmb_N_bool_fun$_1'). 1.73/0.71 tff('declare_uxy$',type,'uxy$':'A_a_fun$'). 1.73/0.71 tff('uxy$_definition',axiom,'uxy$' = 'fmb_A_a_fun$_2'). 1.73/0.71 tff('declare_uvt$',type,'uvt$':'B_a_b_vec_fun$'). 1.73/0.71 tff('uvt$_definition',axiom,'uvt$' = 'fmb_B_a_b_vec_fun$_2'). 1.73/0.71 tff('declare_uvs$',type,'uvs$':'N_a_n_vec_fun$'). 1.73/0.71 tff('uvs$_definition',axiom,'uvs$' = 'fmb_N_a_n_vec_fun$_2'). 1.73/0.71 tff('declare_one$a',type,'one$a':'A_b_vec_n_vec$'). 1.73/0.71 tff('one$a_definition',axiom,'one$a' = 'fmb_A_b_vec_n_vec$_2'). 1.73/0.71 tff('declare_uxv$',type,'uxv$':'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'). 1.73/0.71 tff('uxv$_definition',axiom,'uxv$' = 'fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_1'). 1.73/0.71 tff('declare_one$f',type,'one$f':'A_b_vec_b_vec$'). 1.73/0.71 tff('one$f_definition',axiom,'one$f' = 'fmb_A_b_vec_b_vec$_1'). 1.73/0.71 tff('declare_zero$',type,'zero$':'A$'). 1.73/0.71 tff('zero$_definition',axiom,'zero$' = 'fmb_A$_2'). 1.73/0.71 tff('declare_interchange_A$',type,'interchange_A$':'A_b_vec_n_vec$'). 1.73/0.71 tff('interchange_A$_definition',axiom,'interchange_A$' = 'fmb_A_b_vec_n_vec$_2'). 1.73/0.71 tff('declare_uvx$',type,'uvx$':'N_a_fun$'). 1.73/0.71 tff('uvx$_definition',axiom,'uvx$' = 'fmb_N_a_fun$_2'). 1.73/0.71 tff(declare_tlfalse,type,tlfalse:tlbool). 1.73/0.71 tff(tlfalse_definition,axiom,tlfalse = fmb_tlbool_2). 1.73/0.71 tff('declare_zero$a',type,'zero$a':'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('zero$a_definition',axiom,'zero$a' = 'fmb_A_b_vec_n_vec_n_vec$_2'). 1.73/0.71 tff('declare_uminus$b',type,'uminus$b':'A_b_vec_a_b_vec_fun$'). 1.73/0.71 tff('uminus$b_definition',axiom,'uminus$b' = 'fmb_A_b_vec_a_b_vec_fun$_2'). 1.73/0.71 tff('declare_uxr$',type,'uxr$':'A_b_vec_n_vec_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('uxr$_definition',axiom,'uxr$' = 'fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_1'). 1.73/0.71 tff('declare_uxq$',type,'uxq$':'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'). 1.73/0.71 tff('uxq$_definition',axiom,'uxq$' = 'fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_2'). 1.73/0.71 tff('declare_zero$f',type,'zero$f':'A_b_vec_b_vec$'). 1.73/0.71 tff('zero$f_definition',axiom,'zero$f' = 'fmb_A_b_vec_b_vec$_2'). 1.73/0.71 tff('declare_one$e',type,'one$e':'A_n_vec_n_vec$'). 1.73/0.71 tff('one$e_definition',axiom,'one$e' = 'fmb_A_n_vec_n_vec$_2'). 1.73/0.71 tff('declare_uxw$',type,'uxw$':'A_b_vec_n_vec_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('uxw$_definition',axiom,'uxw$' = 'fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_2'). 1.73/0.71 tff('declare_uul$',type,'uul$': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'N$' * 'N$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uul$',axiom, 1.73/0.71 'uul$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 & 'uul$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_times$b',type,'times$b': ('A_b_vec$') > 'A_b_vec_a_b_vec_fun$'). 1.73/0.71 tff('function_times$b',axiom, 1.73/0.71 'times$b'('fmb_A_b_vec$_1') = 'fmb_A_b_vec_a_b_vec_fun$_1' 1.73/0.71 & 'times$b'('fmb_A_b_vec$_2') = 'fmb_A_b_vec_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwy$',type,'uwy$': ('A_b_vec_n_vec$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_uwy$',axiom, 1.73/0.71 'uwy$'('fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'uwy$'('fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_columns$a',type,'interchange_columns$a': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'N$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_interchange_columns$a',axiom, 1.73/0.71 'interchange_columns$a'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 & 'interchange_columns$a'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwg$',type,'uwg$': ('A_b_vec_n_vec$' * 'N$' * 'B$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uwg$',axiom, 1.73/0.71 'uwg$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_B$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uwg$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_B$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$p',type,'fun_app$p': ('A_n_vec_a_n_vec_fun$' * 'A_n_vec$') > 'A_n_vec$'). 1.73/0.71 tff('function_fun_app$p',axiom, 1.73/0.71 'fun_app$p'('fmb_A_n_vec_a_n_vec_fun$_1','fmb_A_n_vec$_1') = 'fmb_A_n_vec$_1' 1.73/0.71 & 'fun_app$p'('fmb_A_n_vec_a_n_vec_fun$_1','fmb_A_n_vec$_2') = 'fmb_A_n_vec$_2' 1.73/0.71 & 'fun_app$p'('fmb_A_n_vec_a_n_vec_fun$_2','fmb_A_n_vec$_1') = 'fmb_A_n_vec$_1' 1.73/0.71 & 'fun_app$p'('fmb_A_n_vec_a_n_vec_fun$_2','fmb_A_n_vec$_2') = 'fmb_A_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxm$',type,'uxm$': ('A_b_vec_n_vec_n_vec$' * 'A_b_vec_n_vec_n_vec$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_uxm$',axiom, 1.73/0.71 'uxm$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'uxm$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'uxm$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'uxm$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvk$',type,'uvk$': ('A_a_b_vec_fun$' * 'A_b_vec_n_vec$') > 'N_a_b_vec_b_vec_fun$'). 1.73/0.71 tff('function_uvk$',axiom, 1.73/0.71 'uvk$'('fmb_A_a_b_vec_fun$_1','fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_b_vec_fun$_2' 1.73/0.71 & 'uvk$'('fmb_A_a_b_vec_fun$_1','fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_b_vec_fun$_2' 1.73/0.71 & 'uvk$'('fmb_A_a_b_vec_fun$_2','fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_b_vec_fun$_2' 1.73/0.71 & 'uvk$'('fmb_A_a_b_vec_fun$_2','fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxg$',type,'uxg$': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'A_b_vec$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_uxg$',axiom, 1.73/0.71 'uxg$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_A_b_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'uxg$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_A_b_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'uxg$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_A_b_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'uxg$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_A_b_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwl$',type,'uwl$': ('A_b_vec_n_vec_n_vec$' * 'N$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_uwl$',axiom, 1.73/0.71 'uwl$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'uwl$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvm$',type,'uvm$': ('A_b_vec_a_fun$' * 'A_b_vec_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uvm$',axiom, 1.73/0.71 'uvm$'('fmb_A_b_vec_a_fun$_1','fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uvm$'('fmb_A_b_vec_a_fun$_1','fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uvm$'('fmb_A_b_vec_a_fun$_2','fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uvm$'('fmb_A_b_vec_a_fun$_2','fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uuk$',type,'uuk$': ('A_b_vec_b_vec$' * 'B$' * 'B$') > 'B_a_b_vec_fun$'). 1.73/0.71 tff('function_uuk$',axiom, 1.73/0.71 'uuk$'('fmb_A_b_vec_b_vec$_1','fmb_B$_1','fmb_B$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 & 'uuk$'('fmb_A_b_vec_b_vec$_2','fmb_B$_1','fmb_B$_1') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_columns_row$',type,'interchange_columns_row$': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'N$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_interchange_columns_row$',axiom, 1.73/0.71 'interchange_columns_row$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'interchange_columns_row$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uminus$e',type,'uminus$e': ('A_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_uminus$e',axiom, 1.73/0.71 'uminus$e'('fmb_A_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'uminus$e'('fmb_A_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uub$',type,'uub$': ('A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uub$',axiom, 1.73/0.71 'uub$'('fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uub$'('fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uminus$f',type,'uminus$f': ('A_b_vec_b_vec$') > 'A_b_vec_b_vec$'). 1.73/0.71 tff('function_uminus$f',axiom, 1.73/0.71 'uminus$f'('fmb_A_b_vec_b_vec$_1') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 & 'uminus$f'('fmb_A_b_vec_b_vec$_2') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvq$',type,'uvq$': ('A_a_b_vec_n_vec_fun$' * 'A_n_vec_n_vec$') > 'N_a_b_vec_n_vec_n_vec_fun$'). 1.73/0.71 tff('function_uvq$',axiom, 1.73/0.71 'uvq$'('fmb_A_a_b_vec_n_vec_fun$_1','fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_n_vec_fun$_2' 1.73/0.71 & 'uvq$'('fmb_A_a_b_vec_n_vec_fun$_1','fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_n_vec_fun$_1' 1.73/0.71 & 'uvq$'('fmb_A_a_b_vec_n_vec_fun$_2','fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_n_vec_fun$_2' 1.73/0.71 & 'uvq$'('fmb_A_a_b_vec_n_vec_fun$_2','fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_rows_row$b',type,'interchange_rows_row$b': ('A_b_vec_n_vec$' * 'N$' * 'N$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_interchange_rows_row$b',axiom, 1.73/0.71 'interchange_rows_row$b'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'interchange_rows_row$b'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uva$',type,'uva$': ('A_a_b_vec_fun$' * 'A_n_vec_n_vec$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_uva$',axiom, 1.73/0.71 'uva$'('fmb_A_a_b_vec_fun$_1','fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'uva$'('fmb_A_a_b_vec_fun$_1','fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'uva$'('fmb_A_a_b_vec_fun$_2','fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'uva$'('fmb_A_a_b_vec_fun$_2','fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uup$',type,'uup$': ('A_n_vec_n_vec$' * 'N$' * 'N$' * 'N$') > 'N_a_fun$'). 1.73/0.71 tff('function_uup$',axiom, 1.73/0.71 'uup$'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uup$'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$k',type,'fun_app$k': ('A_b_vec_a_b_vec_fun$' * 'A_b_vec$') > 'A_b_vec$'). 1.73/0.71 tff('function_fun_app$k',axiom, 1.73/0.71 'fun_app$k'('fmb_A_b_vec_a_b_vec_fun$_1','fmb_A_b_vec$_1') = 'fmb_A_b_vec$_1' 1.73/0.71 & 'fun_app$k'('fmb_A_b_vec_a_b_vec_fun$_1','fmb_A_b_vec$_2') = 'fmb_A_b_vec$_2' 1.73/0.71 & 'fun_app$k'('fmb_A_b_vec_a_b_vec_fun$_2','fmb_A_b_vec$_1') = 'fmb_A_b_vec$_2' 1.73/0.71 & 'fun_app$k'('fmb_A_b_vec_a_b_vec_fun$_2','fmb_A_b_vec$_2') = 'fmb_A_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_columnvector$g',type,'columnvector$g': ('A_n_vec$') > 'A_b_vec_n_vec$'). 1.73/0.71 tff('function_columnvector$g',axiom, 1.73/0.71 'columnvector$g'('fmb_A_n_vec$_1') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'columnvector$g'('fmb_A_n_vec$_2') = 'fmb_A_b_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_row_add_row$',type,'row_add_row$': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'N$' * 'A_b_vec$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_row_add_row$',axiom, 1.73/0.71 'row_add_row$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_A_b_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'row_add_row$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_A_b_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'row_add_row$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_A_b_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'row_add_row$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_A_b_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxf$',type,'uxf$': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'A_b_vec$' * 'N$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uxf$',axiom, 1.73/0.71 'uxf$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_A_b_vec$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 & 'uxf$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_A_b_vec$_2','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uxf$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_A_b_vec$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uxf$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_A_b_vec$_2','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uuy$',type,'uuy$': ('A_a_fun$' * 'A_b_vec_n_vec$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uuy$',axiom, 1.73/0.71 'uuy$'('fmb_A_a_fun$_1','fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uuy$'('fmb_A_a_fun$_1','fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uuy$'('fmb_A_a_fun$_2','fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uuy$'('fmb_A_a_fun$_2','fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwm$',type,'uwm$': ('A_b_vec_n_vec_n_vec$') > 'N_a_b_vec_n_vec_n_vec_fun$'). 1.73/0.71 tff('function_uwm$',axiom, 1.73/0.71 'uwm$'('fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_n_vec_fun$_1' 1.73/0.71 & 'uwm$'('fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_least$',type,'least$': ('N_bool_fun$') > 'N$'). 1.73/0.71 tff('function_least$',axiom, 1.73/0.71 'least$'('fmb_N_bool_fun$_1') = 'fmb_N$_1' 1.73/0.71 & 'least$'('fmb_N_bool_fun$_2') = 'fmb_N$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$ad',type,'fun_app$ad': ('B_a_bool_fun_fun$' * 'B$') > 'A_bool_fun$'). 1.73/0.71 tff('function_fun_app$ad',axiom, 1.73/0.71 'fun_app$ad'('fmb_B_a_bool_fun_fun$_1','fmb_B$_1') = 'fmb_A_bool_fun$_2' 1.73/0.71 & 'fun_app$ad'('fmb_B_a_bool_fun_fun$_2','fmb_B$_1') = 'fmb_A_bool_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_map_matrix$h',type,'map_matrix$h': ('A_b_vec_n_vec_a_fun$' * 'A_b_vec_n_vec_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_map_matrix$h',axiom, 1.73/0.71 'map_matrix$h'('fmb_A_b_vec_n_vec_a_fun$_1','fmb_A_b_vec_n_vec_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$h'('fmb_A_b_vec_n_vec_a_fun$_1','fmb_A_b_vec_n_vec_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$h'('fmb_A_b_vec_n_vec_a_fun$_2','fmb_A_b_vec_n_vec_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$h'('fmb_A_b_vec_n_vec_a_fun$_2','fmb_A_b_vec_n_vec_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwf$',type,'uwf$': ('A_b_vec_n_vec$' * 'N$' * 'B$') > 'N_bool_fun$'). 1.73/0.71 tff('function_uwf$',axiom, 1.73/0.71 'uwf$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_B$_1') = 'fmb_N_bool_fun$_2' 1.73/0.71 & 'uwf$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_B$_1') = 'fmb_N_bool_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_lambda$f',type,'vec_lambda$f': ('N_a_n_vec_n_vec_fun$') > 'A_n_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_vec_lambda$f',axiom, 1.73/0.71 'vec_lambda$f'('fmb_N_a_n_vec_n_vec_fun$_1') = 'fmb_A_n_vec_n_vec_n_vec$_2' 1.73/0.71 & 'vec_lambda$f'('fmb_N_a_n_vec_n_vec_fun$_2') = 'fmb_A_n_vec_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_mult_row$b',type,'mult_row$b': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'A_b_vec$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_mult_row$b',axiom, 1.73/0.71 'mult_row$b'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_A_b_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 & 'mult_row$b'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_A_b_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'mult_row$b'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_A_b_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'mult_row$b'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_A_b_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvg$',type,'uvg$': ('A_a_fun$' * 'A_b_vec_b_vec$') > 'B_a_b_vec_fun$'). 1.73/0.71 tff('function_uvg$',axiom, 1.73/0.71 'uvg$'('fmb_A_a_fun$_1','fmb_A_b_vec_b_vec$_1') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 & 'uvg$'('fmb_A_a_fun$_1','fmb_A_b_vec_b_vec$_2') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 & 'uvg$'('fmb_A_a_fun$_2','fmb_A_b_vec_b_vec$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 & 'uvg$'('fmb_A_a_fun$_2','fmb_A_b_vec_b_vec$_2') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_rowvector$b',type,'rowvector$b': ('A_b_vec_n_vec$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_rowvector$b',axiom, 1.73/0.71 'rowvector$b'('fmb_A_b_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'rowvector$b'('fmb_A_b_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uum$',type,'uum$': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'N$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_uum$',axiom, 1.73/0.71 'uum$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'uum$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxl$',type,'uxl$': ('A_n_vec$' * 'A_n_vec$') > 'N_a_fun$'). 1.73/0.71 tff('function_uxl$',axiom, 1.73/0.71 'uxl$'('fmb_A_n_vec$_1','fmb_A_n_vec$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uxl$'('fmb_A_n_vec$_1','fmb_A_n_vec$_2') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uxl$'('fmb_A_n_vec$_2','fmb_A_n_vec$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uxl$'('fmb_A_n_vec$_2','fmb_A_n_vec$_2') = 'fmb_N_a_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uux$',type,'uux$': ('A_a_fun$' * 'A_b_vec_n_vec$' * 'N$') > 'B_a_fun$'). 1.73/0.71 tff('function_uux$',axiom, 1.73/0.71 'uux$'('fmb_A_a_fun$_1','fmb_A_b_vec_n_vec$_1','fmb_N$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uux$'('fmb_A_a_fun$_1','fmb_A_b_vec_n_vec$_2','fmb_N$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uux$'('fmb_A_a_fun$_2','fmb_A_b_vec_n_vec$_1','fmb_N$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uux$'('fmb_A_a_fun$_2','fmb_A_b_vec_n_vec$_2','fmb_N$_1') = 'fmb_B_a_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_times$e',type,'times$e': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_times$e',axiom, 1.73/0.71 'times$e'('fmb_A_n_vec_n_vec$_1','fmb_A_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'times$e'('fmb_A_n_vec_n_vec$_1','fmb_A_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'times$e'('fmb_A_n_vec_n_vec$_2','fmb_A_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'times$e'('fmb_A_n_vec_n_vec$_2','fmb_A_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_row_add_row$b',type,'row_add_row$b': ('A_b_vec_n_vec$' * 'N$' * 'N$' * 'A$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_row_add_row$b',axiom, 1.73/0.71 'row_add_row$b'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_A$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'row_add_row$b'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_A$_2') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'row_add_row$b'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_A$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'row_add_row$b'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_A$_2') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uud$',type,'uud$': ('A_n_vec$') > 'N_a_fun$'). 1.73/0.71 tff('function_uud$',axiom, 1.73/0.71 'uud$'('fmb_A_n_vec$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uud$'('fmb_A_n_vec$_2') = 'fmb_N_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_rows$',type,'interchange_rows$': ('A_b_vec_n_vec$' * 'N$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_interchange_rows$',axiom, 1.73/0.71 'interchange_rows$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'interchange_rows$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$g',type,'fun_app$g': ('N_a_b_vec_b_vec_fun$' * 'N$') > 'A_b_vec_b_vec$'). 1.73/0.71 tff('function_fun_app$g',axiom, 1.73/0.71 'fun_app$g'('fmb_N_a_b_vec_b_vec_fun$_1','fmb_N$_1') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 & 'fun_app$g'('fmb_N_a_b_vec_b_vec_fun$_2','fmb_N$_1') = 'fmb_A_b_vec_b_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvn$',type,'uvn$': ('A_n_vec_a_fun$' * 'A_n_vec_n_vec_n_vec$' * 'N$') > 'N_a_fun$'). 1.73/0.71 tff('function_uvn$',axiom, 1.73/0.71 'uvn$'('fmb_A_n_vec_a_fun$_1','fmb_A_n_vec_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_fun$_2' 1.73/0.71 & 'uvn$'('fmb_A_n_vec_a_fun$_1','fmb_A_n_vec_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_fun$_2' 1.73/0.71 & 'uvn$'('fmb_A_n_vec_a_fun$_2','fmb_A_n_vec_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_fun$_2' 1.73/0.71 & 'uvn$'('fmb_A_n_vec_a_fun$_2','fmb_A_n_vec_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uuc$',type,'uuc$': ('A_b_vec_b_vec$') > 'B_a_b_vec_fun$'). 1.73/0.71 tff('function_uuc$',axiom, 1.73/0.71 'uuc$'('fmb_A_b_vec_b_vec$_1') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 & 'uuc$'('fmb_A_b_vec_b_vec$_2') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uue$',type,'uue$': ('A_b_vec_n_vec_n_vec$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_uue$',axiom, 1.73/0.71 'uue$'('fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'uue$'('fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvp$',type,'uvp$': ('A_a_b_vec_n_vec_fun$' * 'A_n_vec_n_vec$' * 'N$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_uvp$',axiom, 1.73/0.71 'uvp$'('fmb_A_a_b_vec_n_vec_fun$_1','fmb_A_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'uvp$'('fmb_A_a_b_vec_n_vec_fun$_1','fmb_A_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'uvp$'('fmb_A_a_b_vec_n_vec_fun$_2','fmb_A_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'uvp$'('fmb_A_a_b_vec_n_vec_fun$_2','fmb_A_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uua$',type,'uua$': ('A_b_vec_n_vec$' * 'A_b_vec_n_vec$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uua$',axiom, 1.73/0.71 'uua$'('fmb_A_b_vec_n_vec$_1','fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uua$'('fmb_A_b_vec_n_vec$_1','fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 & 'uua$'('fmb_A_b_vec_n_vec$_2','fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uua$'('fmb_A_b_vec_n_vec$_2','fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvi$',type,'uvi$': ('A_a_n_vec_fun$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_n_vec_fun$'). 1.73/0.71 tff('function_uvi$',axiom, 1.73/0.71 'uvi$'('fmb_A_a_n_vec_fun$_1','fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_n_vec_fun$_2' 1.73/0.71 & 'uvi$'('fmb_A_a_n_vec_fun$_1','fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_n_vec_fun$_2' 1.73/0.71 & 'uvi$'('fmb_A_a_n_vec_fun$_2','fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_n_vec_fun$_2' 1.73/0.71 & 'uvi$'('fmb_A_a_n_vec_fun$_2','fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_columns_row$b',type,'interchange_columns_row$b': ('A_b_vec_n_vec$' * 'B$' * 'B$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_interchange_columns_row$b',axiom, 1.73/0.71 'interchange_columns_row$b'('fmb_A_b_vec_n_vec$_1','fmb_B$_1','fmb_B$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'interchange_columns_row$b'('fmb_A_b_vec_n_vec$_2','fmb_B$_1','fmb_B$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxo$',type,'uxo$': ('A_b_vec_n_vec$' * 'A_b_vec_n_vec$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uxo$',axiom, 1.73/0.71 'uxo$'('fmb_A_b_vec_n_vec$_1','fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uxo$'('fmb_A_b_vec_n_vec$_1','fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uxo$'('fmb_A_b_vec_n_vec$_2','fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uxo$'('fmb_A_b_vec_n_vec$_2','fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwn$',type,'uwn$': ('A_b_vec$' * 'B$') > 'N_a_fun$'). 1.73/0.71 tff('function_uwn$',axiom, 1.73/0.71 'uwn$'('fmb_A_b_vec$_1','fmb_B$_1') = 'fmb_N_a_fun$_2' 1.73/0.71 & 'uwn$'('fmb_A_b_vec$_2','fmb_B$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_columnvector$',type,'columnvector$': ('A_b_vec_n_vec_n_vec$') > 'A_b_vec_n_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_columnvector$',axiom, 1.73/0.71 'columnvector$'('fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec_n_vec$_2' 1.73/0.71 & 'columnvector$'('fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_map_matrix$a',type,'map_matrix$a': ('A_a_fun$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_map_matrix$a',axiom, 1.73/0.71 'map_matrix$a'('fmb_A_a_fun$_1','fmb_A_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$a'('fmb_A_a_fun$_1','fmb_A_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$a'('fmb_A_a_fun$_2','fmb_A_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$a'('fmb_A_a_fun$_2','fmb_A_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwi$',type,'uwi$': ('A_b_vec$') > 'B_a_b_vec_fun$'). 1.73/0.71 tff('function_uwi$',axiom, 1.73/0.71 'uwi$'('fmb_A_b_vec$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 & 'uwi$'('fmb_A_b_vec$_2') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_map_matrix$e',type,'map_matrix$e': ('A_a_n_vec_fun$' * 'A_n_vec_n_vec$') > 'A_n_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_map_matrix$e',axiom, 1.73/0.71 'map_matrix$e'('fmb_A_a_n_vec_fun$_1','fmb_A_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$e'('fmb_A_a_n_vec_fun$_1','fmb_A_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$e'('fmb_A_a_n_vec_fun$_2','fmb_A_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$e'('fmb_A_a_n_vec_fun$_2','fmb_A_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_nth$c',type,'vec_nth$c': ('A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_vec_nth$c',axiom, 1.73/0.71 'vec_nth$c'('fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'vec_nth$c'('fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$f',type,'fun_app$f': ('N_a_n_vec_fun$' * 'N$') > 'A_n_vec$'). 1.73/0.71 tff('function_fun_app$f',axiom, 1.73/0.71 'fun_app$f'('fmb_N_a_n_vec_fun$_1','fmb_N$_1') = 'fmb_A_n_vec$_2' 1.73/0.71 & 'fun_app$f'('fmb_N_a_n_vec_fun$_2','fmb_N$_1') = 'fmb_A_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvh$',type,'uvh$': ('A_a_n_vec_fun$' * 'A_n_vec_n_vec$' * 'N$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uvh$',axiom, 1.73/0.71 'uvh$'('fmb_A_a_n_vec_fun$_1','fmb_A_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uvh$'('fmb_A_a_n_vec_fun$_1','fmb_A_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uvh$'('fmb_A_a_n_vec_fun$_2','fmb_A_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uvh$'('fmb_A_a_n_vec_fun$_2','fmb_A_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_nth$a',type,'vec_nth$a': ('A_b_vec_n_vec$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_vec_nth$a',axiom, 1.73/0.71 'vec_nth$a'('fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'vec_nth$a'('fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_lambda$e',type,'vec_lambda$e': ('N_a_b_vec_n_vec_fun$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_vec_lambda$e',axiom, 1.73/0.71 'vec_lambda$e'('fmb_N_a_b_vec_n_vec_fun$_1') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'vec_lambda$e'('fmb_N_a_b_vec_n_vec_fun$_2') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$a',type,'fun_app$a': ('B_a_fun$' * 'B$') > 'A$'). 1.73/0.71 tff('function_fun_app$a',axiom, 1.73/0.71 'fun_app$a'('fmb_B_a_fun$_1','fmb_B$_1') = 'fmb_A$_2' 1.73/0.71 & 'fun_app$a'('fmb_B_a_fun$_2','fmb_B$_1') = 'fmb_A$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_nth$b',type,'vec_nth$b': ('A_b_vec_n_vec_n_vec$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_vec_nth$b',axiom, 1.73/0.71 'vec_nth$b'('fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'vec_nth$b'('fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxj$',type,'uxj$': ('A_n_vec_n_vec$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uxj$',axiom, 1.73/0.71 'uxj$'('fmb_A_n_vec_n_vec$_1','fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uxj$'('fmb_A_n_vec_n_vec$_1','fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uxj$'('fmb_A_n_vec_n_vec$_2','fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uxj$'('fmb_A_n_vec_n_vec$_2','fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_lambda$a',type,'vec_lambda$a': ('N_a_b_vec_fun$') > 'A_b_vec_n_vec$'). 1.73/0.71 tff('function_vec_lambda$a',axiom, 1.73/0.71 'vec_lambda$a'('fmb_N_a_b_vec_fun$_1') = 'fmb_A_b_vec_n_vec$_2' 1.73/0.71 & 'vec_lambda$a'('fmb_N_a_b_vec_fun$_2') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_lambda$',type,'vec_lambda$': ('B_a_fun$') > 'A_b_vec$'). 1.73/0.71 tff('function_vec_lambda$',axiom, 1.73/0.71 'vec_lambda$'('fmb_B_a_fun$_1') = 'fmb_A_b_vec$_2' 1.73/0.71 & 'vec_lambda$'('fmb_B_a_fun$_2') = 'fmb_A_b_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_lambda$i',type,'vec_lambda$i': ('B_a_n_vec_fun$') > 'A_n_vec_b_vec$'). 1.73/0.71 tff('function_vec_lambda$i',axiom, 1.73/0.71 'vec_lambda$i'('fmb_B_a_n_vec_fun$_1') = 'fmb_A_n_vec_b_vec$_1' 1.73/0.71 & 'vec_lambda$i'('fmb_B_a_n_vec_fun$_2') = 'fmb_A_n_vec_b_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvo$',type,'uvo$': ('A_n_vec_a_fun$' * 'A_n_vec_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uvo$',axiom, 1.73/0.71 'uvo$'('fmb_A_n_vec_a_fun$_1','fmb_A_n_vec_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 & 'uvo$'('fmb_A_n_vec_a_fun$_1','fmb_A_n_vec_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 & 'uvo$'('fmb_A_n_vec_a_fun$_2','fmb_A_n_vec_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 & 'uvo$'('fmb_A_n_vec_a_fun$_2','fmb_A_n_vec_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_columnvector$b',type,'columnvector$b': ('A_n_vec_n_vec$') > 'A_n_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_columnvector$b',axiom, 1.73/0.71 'columnvector$b'('fmb_A_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec_n_vec$_2' 1.73/0.71 & 'columnvector$b'('fmb_A_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$q',type,'fun_app$q': ('A_n_vec_a_fun$' * 'A_n_vec$') > 'A$'). 1.73/0.71 tff('function_fun_app$q',axiom, 1.73/0.71 'fun_app$q'('fmb_A_n_vec_a_fun$_1','fmb_A_n_vec$_1') = 'fmb_A$_1' 1.73/0.71 & 'fun_app$q'('fmb_A_n_vec_a_fun$_1','fmb_A_n_vec$_2') = 'fmb_A$_2' 1.73/0.71 & 'fun_app$q'('fmb_A_n_vec_a_fun$_2','fmb_A_n_vec$_1') = 'fmb_A$_1' 1.73/0.71 & 'fun_app$q'('fmb_A_n_vec_a_fun$_2','fmb_A_n_vec$_2') = 'fmb_A$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$j',type,'fun_app$j': ('N_a_b_vec_n_vec_n_vec_fun$' * 'N$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_fun_app$j',axiom, 1.73/0.71 'fun_app$j'('fmb_N_a_b_vec_n_vec_n_vec_fun$_1','fmb_N$_1') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 & 'fun_app$j'('fmb_N_a_b_vec_n_vec_n_vec_fun$_2','fmb_N$_1') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uuv$',type,'uuv$': ('A_b_vec_n_vec$' * 'N$' * 'N$' * 'N$') > 'B_a_fun$'). 1.73/0.71 tff('function_uuv$',axiom, 1.73/0.71 'uuv$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_N$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uuv$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_N$_1') = 'fmb_B_a_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$h',type,'fun_app$h': ('N_a_n_vec_n_vec_fun$' * 'N$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_fun_app$h',axiom, 1.73/0.71 'fun_app$h'('fmb_N_a_n_vec_n_vec_fun$_1','fmb_N$_1') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 & 'fun_app$h'('fmb_N_a_n_vec_n_vec_fun$_2','fmb_N$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$o',type,'fun_app$o': ('A_b_vec_n_vec_a_b_vec_n_vec_fun$' * 'A_b_vec_n_vec$') > 'A_b_vec_n_vec$'). 1.73/0.71 tff('function_fun_app$o',axiom, 1.73/0.71 'fun_app$o'('fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_1','fmb_A_b_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'fun_app$o'('fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_1','fmb_A_b_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'fun_app$o'('fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_2','fmb_A_b_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'fun_app$o'('fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_2','fmb_A_b_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uve$',type,'uve$': ('A_a_fun$' * 'A_n_vec_n_vec$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uve$',axiom, 1.73/0.71 'uve$'('fmb_A_a_fun$_1','fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uve$'('fmb_A_a_fun$_1','fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uve$'('fmb_A_a_fun$_2','fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uve$'('fmb_A_a_fun$_2','fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_times$d',type,'times$d': ('A_b_vec_n_vec_n_vec$') > 'A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$'). 1.73/0.71 tff('function_times$d',axiom, 1.73/0.71 'times$d'('fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_1' 1.73/0.71 & 'times$d'('fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvj$',type,'uvj$': ('A_a_b_vec_fun$' * 'A_b_vec_n_vec$' * 'N$') > 'B_a_b_vec_fun$'). 1.73/0.71 tff('function_uvj$',axiom, 1.73/0.71 'uvj$'('fmb_A_a_b_vec_fun$_1','fmb_A_b_vec_n_vec$_1','fmb_N$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 & 'uvj$'('fmb_A_a_b_vec_fun$_1','fmb_A_b_vec_n_vec$_2','fmb_N$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 & 'uvj$'('fmb_A_a_b_vec_fun$_2','fmb_A_b_vec_n_vec$_1','fmb_N$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 & 'uvj$'('fmb_A_a_b_vec_fun$_2','fmb_A_b_vec_n_vec$_2','fmb_N$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvb$',type,'uvb$': ('A_b_vec_a_b_vec_fun$' * 'A_b_vec_n_vec_n_vec$' * 'N$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uvb$',axiom, 1.73/0.71 'uvb$'('fmb_A_b_vec_a_b_vec_fun$_1','fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 & 'uvb$'('fmb_A_b_vec_a_b_vec_fun$_1','fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uvb$'('fmb_A_b_vec_a_b_vec_fun$_2','fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uvb$'('fmb_A_b_vec_a_b_vec_fun$_2','fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_columnvector$c',type,'columnvector$c': ('A_b_vec_n_vec$') > 'A_b_vec_b_vec_n_vec$'). 1.73/0.71 tff('function_columnvector$c',axiom, 1.73/0.71 'columnvector$c'('fmb_A_b_vec_n_vec$_1') = 'fmb_A_b_vec_b_vec_n_vec$_1' 1.73/0.71 & 'columnvector$c'('fmb_A_b_vec_n_vec$_2') = 'fmb_A_b_vec_b_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uuq$',type,'uuq$': ('A_n_vec_n_vec$' * 'N$' * 'N$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uuq$',axiom, 1.73/0.71 'uuq$'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uuq$'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$r',type,'fun_app$r': ('A_b_vec_a_fun$' * 'A_b_vec$') > 'A$'). 1.73/0.71 tff('function_fun_app$r',axiom, 1.73/0.71 'fun_app$r'('fmb_A_b_vec_a_fun$_1','fmb_A_b_vec$_1') = 'fmb_A$_2' 1.73/0.71 & 'fun_app$r'('fmb_A_b_vec_a_fun$_1','fmb_A_b_vec$_2') = 'fmb_A$_2' 1.73/0.71 & 'fun_app$r'('fmb_A_b_vec_a_fun$_2','fmb_A_b_vec$_1') = 'fmb_A$_2' 1.73/0.71 & 'fun_app$r'('fmb_A_b_vec_a_fun$_2','fmb_A_b_vec$_2') = 'fmb_A$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_rows$a',type,'interchange_rows$a': ('A_n_vec_n_vec$' * 'N$') > 'N_a_n_vec_n_vec_fun$'). 1.73/0.71 tff('function_interchange_rows$a',axiom, 1.73/0.71 'interchange_rows$a'('fmb_A_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_n_vec_n_vec_fun$_2' 1.73/0.71 & 'interchange_rows$a'('fmb_A_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_n_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_map_matrix$i',type,'map_matrix$i': ('A_a_b_vec_n_vec_fun$' * 'A_n_vec_n_vec$') > 'A_b_vec_n_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_map_matrix$i',axiom, 1.73/0.71 'map_matrix$i'('fmb_A_a_b_vec_n_vec_fun$_1','fmb_A_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$i'('fmb_A_a_b_vec_n_vec_fun$_1','fmb_A_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$i'('fmb_A_a_b_vec_n_vec_fun$_2','fmb_A_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$i'('fmb_A_a_b_vec_n_vec_fun$_2','fmb_A_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_map_matrix$',type,'map_matrix$': ('A_a_fun$' * 'A_b_vec_n_vec$') > 'A_b_vec_n_vec$'). 1.73/0.71 tff('function_map_matrix$',axiom, 1.73/0.71 'map_matrix$'('fmb_A_a_fun$_1','fmb_A_b_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$'('fmb_A_a_fun$_1','fmb_A_b_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$'('fmb_A_a_fun$_2','fmb_A_b_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$'('fmb_A_a_fun$_2','fmb_A_b_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$d',type,'fun_app$d': ('N_a_b_vec_n_vec_fun$' * 'N$') > 'A_b_vec_n_vec$'). 1.73/0.71 tff('function_fun_app$d',axiom, 1.73/0.71 'fun_app$d'('fmb_N_a_b_vec_n_vec_fun$_1','fmb_N$_1') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'fun_app$d'('fmb_N_a_b_vec_n_vec_fun$_2','fmb_N$_1') = 'fmb_A_b_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_row_add$a',type,'row_add$a': ('A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_row_add$a',axiom, 1.73/0.71 'row_add$a'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_A$_1') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 & 'row_add$a'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_A$_2') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 & 'row_add$a'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_A$_1') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 & 'row_add$a'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_A$_2') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_map_matrix$k',type,'map_matrix$k': ('A_a_b_vec_fun$' * 'A_b_vec_n_vec$') > 'A_b_vec_b_vec_n_vec$'). 1.73/0.71 tff('function_map_matrix$k',axiom, 1.73/0.71 'map_matrix$k'('fmb_A_a_b_vec_fun$_1','fmb_A_b_vec_n_vec$_1') = 'fmb_A_b_vec_b_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$k'('fmb_A_a_b_vec_fun$_1','fmb_A_b_vec_n_vec$_2') = 'fmb_A_b_vec_b_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$k'('fmb_A_a_b_vec_fun$_2','fmb_A_b_vec_n_vec$_1') = 'fmb_A_b_vec_b_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$k'('fmb_A_a_b_vec_fun$_2','fmb_A_b_vec_n_vec$_2') = 'fmb_A_b_vec_b_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_lambda$b',type,'vec_lambda$b': ('N_a_fun$') > 'A_n_vec$'). 1.73/0.71 tff('function_vec_lambda$b',axiom, 1.73/0.71 'vec_lambda$b'('fmb_N_a_fun$_1') = 'fmb_A_n_vec$_1' 1.73/0.71 & 'vec_lambda$b'('fmb_N_a_fun$_2') = 'fmb_A_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_nth$d',type,'vec_nth$d': ('A_b_vec_b_vec$') > 'B_a_b_vec_fun$'). 1.73/0.71 tff('function_vec_nth$d',axiom, 1.73/0.71 'vec_nth$d'('fmb_A_b_vec_b_vec$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 & 'vec_nth$d'('fmb_A_b_vec_b_vec$_2') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uun$',type,'uun$': ('A_b_vec_n_vec$' * 'B$' * 'B$' * 'N$') > 'B_a_fun$'). 1.73/0.71 tff('function_uun$',axiom, 1.73/0.71 'uun$'('fmb_A_b_vec_n_vec$_1','fmb_B$_1','fmb_B$_1','fmb_N$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uun$'('fmb_A_b_vec_n_vec$_2','fmb_B$_1','fmb_B$_1','fmb_N$_1') = 'fmb_B_a_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$ag',type,'fun_app$ag': ('N_n_fun$' * 'N$') > 'N$'). 1.73/0.71 tff('function_fun_app$ag',axiom, 1.73/0.71 'fun_app$ag'('fmb_N_n_fun$_1','fmb_N$_1') = 'fmb_N$_1' 1.73/0.71 & 'fun_app$ag'('fmb_N_n_fun$_2','fmb_N$_1') = 'fmb_N$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_rowvector$',type,'rowvector$': ('A_n_vec$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_rowvector$',axiom, 1.73/0.71 'rowvector$'('fmb_A_n_vec$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'rowvector$'('fmb_A_n_vec$_2') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uuf$',type,'uuf$': ('A_b_vec$') > 'B_a_fun$'). 1.73/0.71 tff('function_uuf$',axiom, 1.73/0.71 'uuf$'('fmb_A_b_vec$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uuf$'('fmb_A_b_vec$_2') = 'fmb_B_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uuw$',type,'uuw$': ('A_b_vec_n_vec$' * 'N$' * 'N$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uuw$',axiom, 1.73/0.71 'uuw$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uuw$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$i',type,'fun_app$i': ('B_a_n_vec_fun$' * 'B$') > 'A_n_vec$'). 1.73/0.71 tff('function_fun_app$i',axiom, 1.73/0.71 'fun_app$i'('fmb_B_a_n_vec_fun$_1','fmb_B$_1') = 'fmb_A_n_vec$_2' 1.73/0.71 & 'fun_app$i'('fmb_B_a_n_vec_fun$_2','fmb_B$_1') = 'fmb_A_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$af',type,'fun_app$af': ('N_a_b_vec_bool_fun_fun$' * 'N$') > 'A_b_vec_bool_fun$'). 1.73/0.71 tff('function_fun_app$af',axiom, 1.73/0.71 'fun_app$af'('fmb_N_a_b_vec_bool_fun_fun$_1','fmb_N$_1') = 'fmb_A_b_vec_bool_fun$_2' 1.73/0.71 & 'fun_app$af'('fmb_N_a_b_vec_bool_fun_fun$_2','fmb_N$_1') = 'fmb_A_b_vec_bool_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_rows_row$',type,'interchange_rows_row$': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'N$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_interchange_rows_row$',axiom, 1.73/0.71 'interchange_rows_row$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'interchange_rows_row$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwk$',type,'uwk$': ('A_b_vec$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uwk$',axiom, 1.73/0.71 'uwk$'('fmb_A_b_vec$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 & 'uwk$'('fmb_A_b_vec$_2') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uug$',type,'uug$': ('A_b_vec_n_vec$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uug$',axiom, 1.73/0.71 'uug$'('fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uug$'('fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$v',type,'fun_app$v': ('A_n_vec_a_b_vec_fun$' * 'A_n_vec$') > 'A_b_vec$'). 1.73/0.71 tff('function_fun_app$v',axiom, 1.73/0.71 'fun_app$v'('fmb_A_n_vec_a_b_vec_fun$_1','fmb_A_n_vec$_1') = 'fmb_A_b_vec$_2' 1.73/0.71 & 'fun_app$v'('fmb_A_n_vec_a_b_vec_fun$_1','fmb_A_n_vec$_2') = 'fmb_A_b_vec$_2' 1.73/0.71 & 'fun_app$v'('fmb_A_n_vec_a_b_vec_fun$_2','fmb_A_n_vec$_1') = 'fmb_A_b_vec$_2' 1.73/0.71 & 'fun_app$v'('fmb_A_n_vec_a_b_vec_fun$_2','fmb_A_n_vec$_2') = 'fmb_A_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwv$',type,'uwv$': ('A_b_vec$' * 'B$') > 'B_a_fun$'). 1.73/0.71 tff('function_uwv$',axiom, 1.73/0.71 'uwv$'('fmb_A_b_vec$_1','fmb_B$_1') = 'fmb_B_a_fun$_2' 1.73/0.71 & 'uwv$'('fmb_A_b_vec$_2','fmb_B$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_nth$g',type,'vec_nth$g': ('A_b_vec_n_vec_n_vec_n_vec$' * 'N$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_vec_nth$g',axiom, 1.73/0.71 'vec_nth$g'('fmb_A_b_vec_n_vec_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'vec_nth$g'('fmb_A_b_vec_n_vec_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_times$c',type,'times$c': ('A$') > 'A_a_fun$'). 1.73/0.71 tff('function_times$c',axiom, 1.73/0.71 'times$c'('fmb_A$_1') = 'fmb_A_a_fun$_2' 1.73/0.71 & 'times$c'('fmb_A$_2') = 'fmb_A_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxi$',type,'uxi$': ('A_b_vec_n_vec$' * 'N$' * 'A$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uxi$',axiom, 1.73/0.71 'uxi$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_A$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uxi$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_A$_2') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uxi$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_A$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 & 'uxi$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_A$_2') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_map_matrix$b',type,'map_matrix$b': ('A_a_b_vec_fun$' * 'A_n_vec_n_vec$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_map_matrix$b',axiom, 1.73/0.71 'map_matrix$b'('fmb_A_a_b_vec_fun$_1','fmb_A_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$b'('fmb_A_a_b_vec_fun$_1','fmb_A_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$b'('fmb_A_a_b_vec_fun$_2','fmb_A_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$b'('fmb_A_a_b_vec_fun$_2','fmb_A_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_times$',type,'times$': ('A_b_vec_n_vec$') > 'A_b_vec_n_vec_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_times$',axiom, 1.73/0.71 'times$'('fmb_A_b_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'times$'('fmb_A_b_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_a_b_vec_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$t',type,'fun_app$t': ('A_a_b_vec_fun$' * 'A$') > 'A_b_vec$'). 1.73/0.71 tff('function_fun_app$t',axiom, 1.73/0.71 'fun_app$t'('fmb_A_a_b_vec_fun$_1','fmb_A$_1') = 'fmb_A_b_vec$_1' 1.73/0.71 & 'fun_app$t'('fmb_A_a_b_vec_fun$_1','fmb_A$_2') = 'fmb_A_b_vec$_1' 1.73/0.71 & 'fun_app$t'('fmb_A_a_b_vec_fun$_2','fmb_A$_1') = 'fmb_A_b_vec$_1' 1.73/0.71 & 'fun_app$t'('fmb_A_a_b_vec_fun$_2','fmb_A$_2') = 'fmb_A_b_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwx$',type,'uwx$': ('A_b_vec_n_vec$' * 'N$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uwx$',axiom, 1.73/0.71 'uwx$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uwx$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_lambda$g',type,'vec_lambda$g': ('N_a_b_vec_b_vec_fun$') > 'A_b_vec_b_vec_n_vec$'). 1.73/0.71 tff('function_vec_lambda$g',axiom, 1.73/0.71 'vec_lambda$g'('fmb_N_a_b_vec_b_vec_fun$_1') = 'fmb_A_b_vec_b_vec_n_vec$_1' 1.73/0.71 & 'vec_lambda$g'('fmb_N_a_b_vec_b_vec_fun$_2') = 'fmb_A_b_vec_b_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_rows$b',type,'interchange_rows$b': ('A_b_vec_n_vec_n_vec$' * 'N$') > 'N_a_b_vec_n_vec_n_vec_fun$'). 1.73/0.71 tff('function_interchange_rows$b',axiom, 1.73/0.71 'interchange_rows$b'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_n_vec_fun$_1' 1.73/0.71 & 'interchange_rows$b'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$s',type,'fun_app$s': ('A_a_n_vec_fun$' * 'A$') > 'A_n_vec$'). 1.73/0.71 tff('function_fun_app$s',axiom, 1.73/0.71 'fun_app$s'('fmb_A_a_n_vec_fun$_1','fmb_A$_1') = 'fmb_A_n_vec$_1' 1.73/0.71 & 'fun_app$s'('fmb_A_a_n_vec_fun$_1','fmb_A$_2') = 'fmb_A_n_vec$_1' 1.73/0.71 & 'fun_app$s'('fmb_A_a_n_vec_fun$_2','fmb_A$_1') = 'fmb_A_n_vec$_1' 1.73/0.71 & 'fun_app$s'('fmb_A_a_n_vec_fun$_2','fmb_A$_2') = 'fmb_A_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_divide$',type,'divide$': ('A$') > 'A_a_fun$'). 1.73/0.71 tff('function_divide$',axiom, 1.73/0.71 'divide$'('fmb_A$_1') = 'fmb_A_a_fun$_1' 1.73/0.71 & 'divide$'('fmb_A$_2') = 'fmb_A_a_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_columnvector$a',type,'columnvector$a': ('A_b_vec$') > 'A_n_vec_b_vec$'). 1.73/0.71 tff('function_columnvector$a',axiom, 1.73/0.71 'columnvector$a'('fmb_A_b_vec$_1') = 'fmb_A_n_vec_b_vec$_1' 1.73/0.71 & 'columnvector$a'('fmb_A_b_vec$_2') = 'fmb_A_n_vec_b_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$m',type,'fun_app$m': ('A_a_fun$' * 'A$') > 'A$'). 1.73/0.71 tff('function_fun_app$m',axiom, 1.73/0.71 'fun_app$m'('fmb_A_a_fun$_1','fmb_A$_1') = 'fmb_A$_2' 1.73/0.71 & 'fun_app$m'('fmb_A_a_fun$_1','fmb_A$_2') = 'fmb_A$_2' 1.73/0.71 & 'fun_app$m'('fmb_A_a_fun$_2','fmb_A$_1') = 'fmb_A$_1' 1.73/0.71 & 'fun_app$m'('fmb_A_a_fun$_2','fmb_A$_2') = 'fmb_A$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvd$',type,'uvd$': ('A_a_fun$' * 'A_n_vec_n_vec$' * 'N$') > 'N_a_fun$'). 1.73/0.71 tff('function_uvd$',axiom, 1.73/0.71 'uvd$'('fmb_A_a_fun$_1','fmb_A_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uvd$'('fmb_A_a_fun$_1','fmb_A_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uvd$'('fmb_A_a_fun$_2','fmb_A_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uvd$'('fmb_A_a_fun$_2','fmb_A_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwz$',type,'uwz$': ('A_n_vec$' * 'N$') > 'B_a_fun$'). 1.73/0.71 tff('function_uwz$',axiom, 1.73/0.71 'uwz$'('fmb_A_n_vec$_1','fmb_N$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uwz$'('fmb_A_n_vec$_2','fmb_N$_1') = 'fmb_B_a_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwd$',type,'uwd$': ('A_n_vec_n_vec$' * 'N$') > 'N_n_bool_fun_fun$'). 1.73/0.71 tff('function_uwd$',axiom, 1.73/0.71 'uwd$'('fmb_A_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_n_bool_fun_fun$_1' 1.73/0.71 & 'uwd$'('fmb_A_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_n_bool_fun_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_rows_row$a',type,'interchange_rows_row$a': ('A_n_vec_n_vec$' * 'N$' * 'N$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_interchange_rows_row$a',axiom, 1.73/0.71 'interchange_rows_row$a'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'interchange_rows_row$a'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_times$a',type,'times$a': ('A_n_vec$') > 'A_n_vec_a_n_vec_fun$'). 1.73/0.71 tff('function_times$a',axiom, 1.73/0.71 'times$a'('fmb_A_n_vec$_1') = 'fmb_A_n_vec_a_n_vec_fun$_2' 1.73/0.71 & 'times$a'('fmb_A_n_vec$_2') = 'fmb_A_n_vec_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uur$',type,'uur$': ('A_b_vec_b_vec$' * 'B$' * 'B$' * 'B$') > 'B_a_fun$'). 1.73/0.71 tff('function_uur$',axiom, 1.73/0.71 'uur$'('fmb_A_b_vec_b_vec$_1','fmb_B$_1','fmb_B$_1','fmb_B$_1') = 'fmb_B_a_fun$_2' 1.73/0.71 & 'uur$'('fmb_A_b_vec_b_vec$_2','fmb_B$_1','fmb_B$_1','fmb_B$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uuz$',type,'uuz$': ('A_a_b_vec_fun$' * 'A_n_vec_n_vec$' * 'N$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uuz$',axiom, 1.73/0.71 'uuz$'('fmb_A_a_b_vec_fun$_1','fmb_A_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 & 'uuz$'('fmb_A_a_b_vec_fun$_1','fmb_A_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 & 'uuz$'('fmb_A_a_b_vec_fun$_2','fmb_A_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 & 'uuz$'('fmb_A_a_b_vec_fun$_2','fmb_A_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwr$',type,'uwr$': ('A_b_vec_n_vec$' * 'N$') > 'B_a_b_vec_fun$'). 1.73/0.71 tff('function_uwr$',axiom, 1.73/0.71 'uwr$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 & 'uwr$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_columns$c',type,'interchange_columns$c': ('A_b_vec_b_vec$' * 'B$' * 'B$') > 'A_b_vec_b_vec$'). 1.73/0.71 tff('function_interchange_columns$c',axiom, 1.73/0.71 'interchange_columns$c'('fmb_A_b_vec_b_vec$_1','fmb_B$_1','fmb_B$_1') = 'fmb_A_b_vec_b_vec$_1' 1.73/0.71 & 'interchange_columns$c'('fmb_A_b_vec_b_vec$_2','fmb_B$_1','fmb_B$_1') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uuu$',type,'uuu$': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'N$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_uuu$',axiom, 1.73/0.71 'uuu$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'uuu$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_row_add_row$a',type,'row_add_row$a': ('A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_row_add_row$a',axiom, 1.73/0.71 'row_add_row$a'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_A$_1') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 & 'row_add_row$a'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_A$_2') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 & 'row_add_row$a'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_A$_1') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 & 'row_add_row$a'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_A$_2') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$u',type,'fun_app$u': ('A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$' * 'A_b_vec_n_vec_n_vec$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_fun_app$u',axiom, 1.73/0.71 'fun_app$u'('fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_1','fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 & 'fun_app$u'('fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_1','fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'fun_app$u'('fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_2','fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'fun_app$u'('fmb_A_b_vec_n_vec_n_vec_a_b_vec_n_vec_n_vec_fun$_2','fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxd$',type,'uxd$': ('A_b_vec_b_vec$' * 'B$' * 'A$' * 'B$') > 'B_a_fun$'). 1.73/0.71 tff('function_uxd$',axiom, 1.73/0.71 'uxd$'('fmb_A_b_vec_b_vec$_1','fmb_B$_1','fmb_A$_1','fmb_B$_1') = 'fmb_B_a_fun$_2' 1.73/0.71 & 'uxd$'('fmb_A_b_vec_b_vec$_1','fmb_B$_1','fmb_A$_2','fmb_B$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uxd$'('fmb_A_b_vec_b_vec$_2','fmb_B$_1','fmb_A$_1','fmb_B$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uxd$'('fmb_A_b_vec_b_vec$_2','fmb_B$_1','fmb_A$_2','fmb_B$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvc$',type,'uvc$': ('A_b_vec_a_b_vec_fun$' * 'A_b_vec_n_vec_n_vec$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_uvc$',axiom, 1.73/0.71 'uvc$'('fmb_A_b_vec_a_b_vec_fun$_1','fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'uvc$'('fmb_A_b_vec_a_b_vec_fun$_1','fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'uvc$'('fmb_A_b_vec_a_b_vec_fun$_2','fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'uvc$'('fmb_A_b_vec_a_b_vec_fun$_2','fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uws$',type,'uws$': ('A_b_vec_n_vec$') > 'N_a_b_vec_b_vec_fun$'). 1.73/0.71 tff('function_uws$',axiom, 1.73/0.71 'uws$'('fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_b_vec_fun$_1' 1.73/0.71 & 'uws$'('fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$n',type,'fun_app$n': ('A_a_b_vec_n_vec_fun$' * 'A$') > 'A_b_vec_n_vec$'). 1.73/0.71 tff('function_fun_app$n',axiom, 1.73/0.71 'fun_app$n'('fmb_A_a_b_vec_n_vec_fun$_1','fmb_A$_1') = 'fmb_A_b_vec_n_vec$_2' 1.73/0.71 & 'fun_app$n'('fmb_A_a_b_vec_n_vec_fun$_1','fmb_A$_2') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'fun_app$n'('fmb_A_a_b_vec_n_vec_fun$_2','fmb_A$_1') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'fun_app$n'('fmb_A_a_b_vec_n_vec_fun$_2','fmb_A$_2') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_rowvector$c',type,'rowvector$c': ('A_b_vec$') > 'A_b_vec_n_vec$'). 1.73/0.71 tff('function_rowvector$c',axiom, 1.73/0.71 'rowvector$c'('fmb_A_b_vec$_1') = 'fmb_A_b_vec_n_vec$_2' 1.73/0.71 & 'rowvector$c'('fmb_A_b_vec$_2') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$e',type,'fun_app$e': ('B_a_b_vec_fun$' * 'B$') > 'A_b_vec$'). 1.73/0.71 tff('function_fun_app$e',axiom, 1.73/0.71 'fun_app$e'('fmb_B_a_b_vec_fun$_1','fmb_B$_1') = 'fmb_A_b_vec$_1' 1.73/0.71 & 'fun_app$e'('fmb_B_a_b_vec_fun$_2','fmb_B$_1') = 'fmb_A_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_mult_row$c',type,'mult_row$c': ('A_b_vec_b_vec$' * 'B$' * 'A$') > 'A_b_vec_b_vec$'). 1.73/0.71 tff('function_mult_row$c',axiom, 1.73/0.71 'mult_row$c'('fmb_A_b_vec_b_vec$_1','fmb_B$_1','fmb_A$_1') = 'fmb_A_b_vec_b_vec$_1' 1.73/0.71 & 'mult_row$c'('fmb_A_b_vec_b_vec$_1','fmb_B$_1','fmb_A$_2') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 & 'mult_row$c'('fmb_A_b_vec_b_vec$_2','fmb_B$_1','fmb_A$_1') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 & 'mult_row$c'('fmb_A_b_vec_b_vec$_2','fmb_B$_1','fmb_A$_2') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_gauss_Jordan_in_ij$',type,'gauss_Jordan_in_ij$': ('A_b_vec_n_vec$' * 'N$' * 'B$') > 'A_b_vec_n_vec$'). 1.73/0.71 tff('function_gauss_Jordan_in_ij$',axiom, 1.73/0.71 'gauss_Jordan_in_ij$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_B$_1') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'gauss_Jordan_in_ij$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_B$_1') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_columnvector$d',type,'columnvector$d': ('A_n_vec$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_columnvector$d',axiom, 1.73/0.71 'columnvector$d'('fmb_A_n_vec$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'columnvector$d'('fmb_A_n_vec$_2') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_times$f',type,'times$f': ('A_b_vec_b_vec$' * 'A_b_vec_b_vec$') > 'A_b_vec_b_vec$'). 1.73/0.71 tff('function_times$f',axiom, 1.73/0.71 'times$f'('fmb_A_b_vec_b_vec$_1','fmb_A_b_vec_b_vec$_1') = 'fmb_A_b_vec_b_vec$_1' 1.73/0.71 & 'times$f'('fmb_A_b_vec_b_vec$_1','fmb_A_b_vec_b_vec$_2') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 & 'times$f'('fmb_A_b_vec_b_vec$_2','fmb_A_b_vec_b_vec$_1') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 & 'times$f'('fmb_A_b_vec_b_vec$_2','fmb_A_b_vec_b_vec$_2') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_row_add$',type,'row_add$': ('A_b_vec_n_vec$' * 'N$' * 'N$') > 'A_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_row_add$',axiom, 1.73/0.71 'row_add$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_A_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'row_add$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_A_a_b_vec_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxe$',type,'uxe$': ('A_b_vec_b_vec$' * 'B$' * 'A$') > 'B_a_b_vec_fun$'). 1.73/0.71 tff('function_uxe$',axiom, 1.73/0.71 'uxe$'('fmb_A_b_vec_b_vec$_1','fmb_B$_1','fmb_A$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 & 'uxe$'('fmb_A_b_vec_b_vec$_1','fmb_B$_1','fmb_A$_2') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 & 'uxe$'('fmb_A_b_vec_b_vec$_2','fmb_B$_1','fmb_A$_1') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 & 'uxe$'('fmb_A_b_vec_b_vec$_2','fmb_B$_1','fmb_A$_2') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$l',type,'fun_app$l': ('N_a_fun$' * 'N$') > 'A$'). 1.73/0.71 tff('function_fun_app$l',axiom, 1.73/0.71 'fun_app$l'('fmb_N_a_fun$_1','fmb_N$_1') = 'fmb_A$_2' 1.73/0.71 & 'fun_app$l'('fmb_N_a_fun$_2','fmb_N$_1') = 'fmb_A$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uminus$d',type,'uminus$d': ('A_b_vec_n_vec_n_vec$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_uminus$d',axiom, 1.73/0.71 'uminus$d'('fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'uminus$d'('fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxc$',type,'uxc$': ('A_n_vec_n_vec$' * 'N$' * 'A$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uxc$',axiom, 1.73/0.71 'uxc$'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_A$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uxc$'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_A$_2') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uxc$'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_A$_1') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 & 'uxc$'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_A$_2') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_mult_row_row$a',type,'mult_row_row$a': ('A_n_vec_n_vec$' * 'N$' * 'A$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_mult_row_row$a',axiom, 1.73/0.71 'mult_row_row$a'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_A$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'mult_row_row$a'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_A$_2') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'mult_row_row$a'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_A$_1') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 & 'mult_row_row$a'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_A$_2') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_columns_row$a',type,'interchange_columns_row$a': ('A_n_vec_n_vec$' * 'N$' * 'N$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_interchange_columns_row$a',axiom, 1.73/0.71 'interchange_columns_row$a'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'interchange_columns_row$a'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_row_add$b',type,'row_add$b': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'N$' * 'A_b_vec$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_row_add$b',axiom, 1.73/0.71 'row_add$b'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_A_b_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 & 'row_add$b'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_A_b_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 & 'row_add$b'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_A_b_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 & 'row_add$b'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_A_b_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvf$',type,'uvf$': ('A_a_fun$' * 'A_b_vec_b_vec$' * 'B$') > 'B_a_fun$'). 1.73/0.71 tff('function_uvf$',axiom, 1.73/0.71 'uvf$'('fmb_A_a_fun$_1','fmb_A_b_vec_b_vec$_1','fmb_B$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uvf$'('fmb_A_a_fun$_1','fmb_A_b_vec_b_vec$_2','fmb_B$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uvf$'('fmb_A_a_fun$_2','fmb_A_b_vec_b_vec$_1','fmb_B$_1') = 'fmb_B_a_fun$_2' 1.73/0.71 & 'uvf$'('fmb_A_a_fun$_2','fmb_A_b_vec_b_vec$_2','fmb_B$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwo$',type,'uwo$': ('A_b_vec$') > 'B_a_n_vec_fun$'). 1.73/0.71 tff('function_uwo$',axiom, 1.73/0.71 'uwo$'('fmb_A_b_vec$_1') = 'fmb_B_a_n_vec_fun$_1' 1.73/0.71 & 'uwo$'('fmb_A_b_vec$_2') = 'fmb_B_a_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_mult_row_row$b',type,'mult_row_row$b': ('A_b_vec_n_vec$' * 'N$' * 'A$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_mult_row_row$b',axiom, 1.73/0.71 'mult_row_row$b'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_A$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'mult_row_row$b'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_A$_2') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'mult_row_row$b'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_A$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 & 'mult_row_row$b'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_A$_2') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwt$',type,'uwt$': ('A_n_vec$' * 'N$') > 'N_a_fun$'). 1.73/0.71 tff('function_uwt$',axiom, 1.73/0.71 'uwt$'('fmb_A_n_vec$_1','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uwt$'('fmb_A_n_vec$_2','fmb_N$_1') = 'fmb_N_a_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_columnvector$e',type,'columnvector$e': ('A_b_vec$') > 'A_b_vec_b_vec$'). 1.73/0.71 tff('function_columnvector$e',axiom, 1.73/0.71 'columnvector$e'('fmb_A_b_vec$_1') = 'fmb_A_b_vec_b_vec$_1' 1.73/0.71 & 'columnvector$e'('fmb_A_b_vec$_2') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uvl$',type,'uvl$': ('A_b_vec_a_fun$' * 'A_b_vec_n_vec_n_vec$' * 'N$') > 'N_a_fun$'). 1.73/0.71 tff('function_uvl$',axiom, 1.73/0.71 'uvl$'('fmb_A_b_vec_a_fun$_1','fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uvl$'('fmb_A_b_vec_a_fun$_1','fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uvl$'('fmb_A_b_vec_a_fun$_2','fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uvl$'('fmb_A_b_vec_a_fun$_2','fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$b',type,'fun_app$b': ('N_a_b_vec_fun$' * 'N$') > 'A_b_vec$'). 1.73/0.71 tff('function_fun_app$b',axiom, 1.73/0.71 'fun_app$b'('fmb_N_a_b_vec_fun$_1','fmb_N$_1') = 'fmb_A_b_vec$_1' 1.73/0.71 & 'fun_app$b'('fmb_N_a_b_vec_fun$_2','fmb_N$_1') = 'fmb_A_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_mult_row$a',type,'mult_row$a': ('A_n_vec_n_vec$' * 'N$' * 'A$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_mult_row$a',axiom, 1.73/0.71 'mult_row$a'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_A$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'mult_row$a'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_A$_2') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'mult_row$a'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_A$_1') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 & 'mult_row$a'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_A$_2') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxb$',type,'uxb$': ('A_n_vec_n_vec$' * 'N$' * 'A$' * 'N$') > 'N_a_fun$'). 1.73/0.71 tff('function_uxb$',axiom, 1.73/0.71 'uxb$'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_A$_1','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uxb$'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_A$_2','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uxb$'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_A$_1','fmb_N$_1') = 'fmb_N_a_fun$_2' 1.73/0.71 & 'uxb$'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_A$_2','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwe$',type,'uwe$': ('A_n_vec_n_vec$' * 'N$' * 'N$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uwe$',axiom, 1.73/0.71 'uwe$'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uwe$'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_nth$',type,'vec_nth$': ('A_b_vec$') > 'B_a_fun$'). 1.73/0.71 tff('function_vec_nth$',axiom, 1.73/0.71 'vec_nth$'('fmb_A_b_vec$_1') = 'fmb_B_a_fun$_2' 1.73/0.71 & 'vec_nth$'('fmb_A_b_vec$_2') = 'fmb_B_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uminus$',type,'uminus$': ('A_b_vec_n_vec$') > 'A_b_vec_n_vec$'). 1.73/0.71 tff('function_uminus$',axiom, 1.73/0.71 'uminus$'('fmb_A_b_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'uminus$'('fmb_A_b_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_map_matrix$j',type,'map_matrix$j': ('A_a_fun$' * 'A_b_vec_b_vec$') > 'A_b_vec_b_vec$'). 1.73/0.71 tff('function_map_matrix$j',axiom, 1.73/0.71 'map_matrix$j'('fmb_A_a_fun$_1','fmb_A_b_vec_b_vec$_1') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 & 'map_matrix$j'('fmb_A_a_fun$_1','fmb_A_b_vec_b_vec$_2') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 & 'map_matrix$j'('fmb_A_a_fun$_2','fmb_A_b_vec_b_vec$_1') = 'fmb_A_b_vec_b_vec$_1' 1.73/0.71 & 'map_matrix$j'('fmb_A_a_fun$_2','fmb_A_b_vec_b_vec$_2') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$c',type,'fun_app$c': ('N_n_bool_fun_fun$' * 'N$') > 'N_bool_fun$'). 1.73/0.71 tff('function_fun_app$c',axiom, 1.73/0.71 'fun_app$c'('fmb_N_n_bool_fun_fun$_1','fmb_N$_1') = 'fmb_N_bool_fun$_2' 1.73/0.71 & 'fun_app$c'('fmb_N_n_bool_fun_fun$_2','fmb_N$_1') = 'fmb_N_bool_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwu$',type,'uwu$': ('A_n_vec$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uwu$',axiom, 1.73/0.71 'uwu$'('fmb_A_n_vec$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uwu$'('fmb_A_n_vec$_2') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_mult_row$',type,'mult_row$': ('A_b_vec_n_vec$' * 'N$') > 'A_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_mult_row$',axiom, 1.73/0.71 'mult_row$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1') = 'fmb_A_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'mult_row$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1') = 'fmb_A_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxn$',type,'uxn$': ('A_b_vec$' * 'A_b_vec$') > 'B_a_fun$'). 1.73/0.71 tff('function_uxn$',axiom, 1.73/0.71 'uxn$'('fmb_A_b_vec$_1','fmb_A_b_vec$_1') = 'fmb_B_a_fun$_2' 1.73/0.71 & 'uxn$'('fmb_A_b_vec$_1','fmb_A_b_vec$_2') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uxn$'('fmb_A_b_vec$_2','fmb_A_b_vec$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uxn$'('fmb_A_b_vec$_2','fmb_A_b_vec$_2') = 'fmb_B_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwp$',type,'uwp$': ('A_n_vec_n_vec$' * 'N$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uwp$',axiom, 1.73/0.71 'uwp$'('fmb_A_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uwp$'('fmb_A_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uuj$',type,'uuj$': ('A_b_vec_b_vec$' * 'B$' * 'B$' * 'B$') > 'B_a_fun$'). 1.73/0.71 tff('function_uuj$',axiom, 1.73/0.71 'uuj$'('fmb_A_b_vec_b_vec$_1','fmb_B$_1','fmb_B$_1','fmb_B$_1') = 'fmb_B_a_fun$_2' 1.73/0.71 & 'uuj$'('fmb_A_b_vec_b_vec$_2','fmb_B$_1','fmb_B$_1','fmb_B$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxk$',type,'uxk$': ('A_b_vec_b_vec$' * 'A_b_vec_b_vec$') > 'B_a_b_vec_fun$'). 1.73/0.71 tff('function_uxk$',axiom, 1.73/0.71 'uxk$'('fmb_A_b_vec_b_vec$_1','fmb_A_b_vec_b_vec$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 & 'uxk$'('fmb_A_b_vec_b_vec$_1','fmb_A_b_vec_b_vec$_2') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 & 'uxk$'('fmb_A_b_vec_b_vec$_2','fmb_A_b_vec_b_vec$_1') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 & 'uxk$'('fmb_A_b_vec_b_vec$_2','fmb_A_b_vec_b_vec$_2') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_gauss_Jordan_in_ij$a',type,'gauss_Jordan_in_ij$a': ('A_n_vec_n_vec$' * 'N$' * 'N$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_gauss_Jordan_in_ij$a',axiom, 1.73/0.71 'gauss_Jordan_in_ij$a'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'gauss_Jordan_in_ij$a'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uww$',type,'uww$': ('A_b_vec$') > 'B_a_b_vec_fun$'). 1.73/0.71 tff('function_uww$',axiom, 1.73/0.71 'uww$'('fmb_A_b_vec$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 & 'uww$'('fmb_A_b_vec$_2') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_columns$b',type,'interchange_columns$b': ('A_b_vec_n_vec$' * 'B$' * 'B$') > 'A_b_vec_n_vec$'). 1.73/0.71 tff('function_interchange_columns$b',axiom, 1.73/0.71 'interchange_columns$b'('fmb_A_b_vec_n_vec$_1','fmb_B$_1','fmb_B$_1') = 'fmb_A_b_vec_n_vec$_1' 1.73/0.71 & 'interchange_columns$b'('fmb_A_b_vec_n_vec$_2','fmb_B$_1','fmb_B$_1') = 'fmb_A_b_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uuo$',type,'uuo$': ('A_b_vec_n_vec$' * 'B$' * 'B$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uuo$',axiom, 1.73/0.71 'uuo$'('fmb_A_b_vec_n_vec$_1','fmb_B$_1','fmb_B$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uuo$'('fmb_A_b_vec_n_vec$_2','fmb_B$_1','fmb_B$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_nth$e',type,'vec_nth$e': ('A_n_vec$') > 'N_a_fun$'). 1.73/0.71 tff('function_vec_nth$e',axiom, 1.73/0.71 'vec_nth$e'('fmb_A_n_vec$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'vec_nth$e'('fmb_A_n_vec$_2') = 'fmb_N_a_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_map_matrix$f',type,'map_matrix$f': ('A_b_vec_a_b_vec_fun$' * 'A_b_vec_n_vec_n_vec$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_map_matrix$f',axiom, 1.73/0.71 'map_matrix$f'('fmb_A_b_vec_a_b_vec_fun$_1','fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$f'('fmb_A_b_vec_a_b_vec_fun$_1','fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$f'('fmb_A_b_vec_a_b_vec_fun$_2','fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$f'('fmb_A_b_vec_a_b_vec_fun$_2','fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_columns$',type,'interchange_columns$': ('A_n_vec_n_vec$' * 'N$' * 'N$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_interchange_columns$',axiom, 1.73/0.71 'interchange_columns$'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'interchange_columns$'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uut$',type,'uut$': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'N$' * 'N$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uut$',axiom, 1.73/0.71 'uut$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 & 'uut$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uminus$a',type,'uminus$a': ('A_n_vec$') > 'A_n_vec$'). 1.73/0.71 tff('function_uminus$a',axiom, 1.73/0.71 'uminus$a'('fmb_A_n_vec$_1') = 'fmb_A_n_vec$_1' 1.73/0.71 & 'uminus$a'('fmb_A_n_vec$_2') = 'fmb_A_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$y',type,'fun_app$y': ('N_a_b_vec_n_vec_bool_fun_fun$' * 'N$') > 'A_b_vec_n_vec_bool_fun$'). 1.73/0.71 tff('function_fun_app$y',axiom, 1.73/0.71 'fun_app$y'('fmb_N_a_b_vec_n_vec_bool_fun_fun$_1','fmb_N$_1') = 'fmb_A_b_vec_n_vec_bool_fun$_2' 1.73/0.71 & 'fun_app$y'('fmb_N_a_b_vec_n_vec_bool_fun_fun$_2','fmb_N$_1') = 'fmb_A_b_vec_n_vec_bool_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uuh$',type,'uuh$': ('A_n_vec_n_vec$' * 'N$' * 'N$' * 'N$') > 'N_a_fun$'). 1.73/0.71 tff('function_uuh$',axiom, 1.73/0.71 'uuh$'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_fun$_1' 1.73/0.71 & 'uuh$'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwh$',type,'uwh$': ('A_n_vec$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uwh$',axiom, 1.73/0.71 'uwh$'('fmb_A_n_vec$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uwh$'('fmb_A_n_vec$_2') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_lambda$h',type,'vec_lambda$h': ('N_a_b_vec_n_vec_n_vec_fun$') > 'A_b_vec_n_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_vec_lambda$h',axiom, 1.73/0.71 'vec_lambda$h'('fmb_N_a_b_vec_n_vec_n_vec_fun$_1') = 'fmb_A_b_vec_n_vec_n_vec_n_vec$_2' 1.73/0.71 & 'vec_lambda$h'('fmb_N_a_b_vec_n_vec_n_vec_fun$_2') = 'fmb_A_b_vec_n_vec_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_nth$f',type,'vec_nth$f': ('A_n_vec_n_vec_n_vec$' * 'N$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_vec_nth$f',axiom, 1.73/0.71 'vec_nth$f'('fmb_A_n_vec_n_vec_n_vec$_1','fmb_N$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'vec_nth$f'('fmb_A_n_vec_n_vec_n_vec$_2','fmb_N$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxa$',type,'uxa$': ('A_n_vec$') > 'N_a_b_vec_fun$'). 1.73/0.71 tff('function_uxa$',axiom, 1.73/0.71 'uxa$'('fmb_A_n_vec$_1') = 'fmb_N_a_b_vec_fun$_2' 1.73/0.71 & 'uxa$'('fmb_A_n_vec$_2') = 'fmb_N_a_b_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_mult_row_row$',type,'mult_row_row$': ('A_b_vec_n_vec_n_vec$' * 'N$' * 'A_b_vec$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_mult_row_row$',axiom, 1.73/0.71 'mult_row_row$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_A_b_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 & 'mult_row_row$'('fmb_A_b_vec_n_vec_n_vec$_1','fmb_N$_1','fmb_A_b_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'mult_row_row$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_A_b_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'mult_row_row$'('fmb_A_b_vec_n_vec_n_vec$_2','fmb_N$_1','fmb_A_b_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uui$',type,'uui$': ('A_n_vec_n_vec$' * 'N$' * 'N$') > 'N_a_n_vec_fun$'). 1.73/0.71 tff('function_uui$',axiom, 1.73/0.71 'uui$'('fmb_A_n_vec_n_vec$_1','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_2' 1.73/0.71 & 'uui$'('fmb_A_n_vec_n_vec$_2','fmb_N$_1','fmb_N$_1') = 'fmb_N_a_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$aa',type,'fun_app$aa': ('N_a_n_vec_bool_fun_fun$' * 'N$') > 'A_n_vec_bool_fun$'). 1.73/0.71 tff('function_fun_app$aa',axiom, 1.73/0.71 'fun_app$aa'('fmb_N_a_n_vec_bool_fun_fun$_1','fmb_N$_1') = 'fmb_A_n_vec_bool_fun$_2' 1.73/0.71 & 'fun_app$aa'('fmb_N_a_n_vec_bool_fun_fun$_2','fmb_N$_1') = 'fmb_A_n_vec_bool_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_rowvector$a',type,'rowvector$a': ('A_b_vec$') > 'A_b_vec_b_vec$'). 1.73/0.71 tff('function_rowvector$a',axiom, 1.73/0.71 'rowvector$a'('fmb_A_b_vec$_1') = 'fmb_A_b_vec_b_vec$_1' 1.73/0.71 & 'rowvector$a'('fmb_A_b_vec$_2') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_map_matrix$c',type,'map_matrix$c': ('A_b_vec_a_fun$' * 'A_b_vec_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_map_matrix$c',axiom, 1.73/0.71 'map_matrix$c'('fmb_A_b_vec_a_fun$_1','fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$c'('fmb_A_b_vec_a_fun$_1','fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$c'('fmb_A_b_vec_a_fun$_2','fmb_A_b_vec_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 & 'map_matrix$c'('fmb_A_b_vec_a_fun$_2','fmb_A_b_vec_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uus$',type,'uus$': ('A_b_vec_b_vec$' * 'B$' * 'B$') > 'B_a_b_vec_fun$'). 1.73/0.71 tff('function_uus$',axiom, 1.73/0.71 'uus$'('fmb_A_b_vec_b_vec$_1','fmb_B$_1','fmb_B$_1') = 'fmb_B_a_b_vec_fun$_1' 1.73/0.71 & 'uus$'('fmb_A_b_vec_b_vec$_2','fmb_B$_1','fmb_B$_1') = 'fmb_B_a_b_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_map_matrix$g',type,'map_matrix$g': ('A_n_vec_a_b_vec_fun$' * 'A_n_vec_n_vec_n_vec$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_map_matrix$g',axiom, 1.73/0.71 'map_matrix$g'('fmb_A_n_vec_a_b_vec_fun$_1','fmb_A_n_vec_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$g'('fmb_A_n_vec_a_b_vec_fun$_1','fmb_A_n_vec_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$g'('fmb_A_n_vec_a_b_vec_fun$_2','fmb_A_n_vec_n_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$g'('fmb_A_n_vec_a_b_vec_fun$_2','fmb_A_n_vec_n_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_map_matrix$d',type,'map_matrix$d': ('A_n_vec_a_fun$' * 'A_n_vec_n_vec_n_vec$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_map_matrix$d',axiom, 1.73/0.71 'map_matrix$d'('fmb_A_n_vec_a_fun$_1','fmb_A_n_vec_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$d'('fmb_A_n_vec_a_fun$_1','fmb_A_n_vec_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$d'('fmb_A_n_vec_a_fun$_2','fmb_A_n_vec_n_vec_n_vec$_1') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 & 'map_matrix$d'('fmb_A_n_vec_a_fun$_2','fmb_A_n_vec_n_vec_n_vec$_2') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwj$',type,'uwj$': ('A_b_vec_n_vec$') > 'N_a_b_vec_n_vec_fun$'). 1.73/0.71 tff('function_uwj$',axiom, 1.73/0.71 'uwj$'('fmb_A_b_vec_n_vec$_1') = 'fmb_N_a_b_vec_n_vec_fun$_1' 1.73/0.71 & 'uwj$'('fmb_A_b_vec_n_vec$_2') = 'fmb_N_a_b_vec_n_vec_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_lambda$c',type,'vec_lambda$c': ('B_a_b_vec_fun$') > 'A_b_vec_b_vec$'). 1.73/0.71 tff('function_vec_lambda$c',axiom, 1.73/0.71 'vec_lambda$c'('fmb_B_a_b_vec_fun$_1') = 'fmb_A_b_vec_b_vec$_1' 1.73/0.71 & 'vec_lambda$c'('fmb_B_a_b_vec_fun$_2') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uwq$',type,'uwq$': ('A_n_vec_n_vec$') > 'N_a_n_vec_n_vec_fun$'). 1.73/0.71 tff('function_uwq$',axiom, 1.73/0.71 'uwq$'('fmb_A_n_vec_n_vec$_1') = 'fmb_N_a_n_vec_n_vec_fun$_2' 1.73/0.71 & 'uwq$'('fmb_A_n_vec_n_vec$_2') = 'fmb_N_a_n_vec_n_vec_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_uxh$',type,'uxh$': ('A_b_vec_n_vec$' * 'N$' * 'A$' * 'N$') > 'B_a_fun$'). 1.73/0.71 tff('function_uxh$',axiom, 1.73/0.71 'uxh$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_A$_1','fmb_N$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uxh$'('fmb_A_b_vec_n_vec$_1','fmb_N$_1','fmb_A$_2','fmb_N$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 & 'uxh$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_A$_1','fmb_N$_1') = 'fmb_B_a_fun$_2' 1.73/0.71 & 'uxh$'('fmb_A_b_vec_n_vec$_2','fmb_N$_1','fmb_A$_2','fmb_N$_1') = 'fmb_B_a_fun$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_columnvector$f',type,'columnvector$f': ('A_b_vec_n_vec$') > 'A_b_vec_n_vec_n_vec$'). 1.73/0.71 tff('function_columnvector$f',axiom, 1.73/0.71 'columnvector$f'('fmb_A_b_vec_n_vec$_1') = 'fmb_A_b_vec_n_vec_n_vec$_2' 1.73/0.71 & 'columnvector$f'('fmb_A_b_vec_n_vec$_2') = 'fmb_A_b_vec_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$ac',type,'fun_app$ac': ('N_a_bool_fun_fun$' * 'N$') > 'A_bool_fun$'). 1.73/0.71 tff('function_fun_app$ac',axiom, 1.73/0.71 'fun_app$ac'('fmb_N_a_bool_fun_fun$_1','fmb_N$_1') = 'fmb_A_bool_fun$_2' 1.73/0.71 & 'fun_app$ac'('fmb_N_a_bool_fun_fun$_2','fmb_N$_1') = 'fmb_A_bool_fun$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_vec_lambda$d',type,'vec_lambda$d': ('N_a_n_vec_fun$') > 'A_n_vec_n_vec$'). 1.73/0.71 tff('function_vec_lambda$d',axiom, 1.73/0.71 'vec_lambda$d'('fmb_N_a_n_vec_fun$_1') = 'fmb_A_n_vec_n_vec$_2' 1.73/0.71 & 'vec_lambda$d'('fmb_N_a_n_vec_fun$_2') = 'fmb_A_n_vec_n_vec$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$w',type,'fun_app$w': ('A_b_vec_n_vec_a_fun$' * 'A_b_vec_n_vec$') > 'A$'). 1.73/0.71 tff('function_fun_app$w',axiom, 1.73/0.71 'fun_app$w'('fmb_A_b_vec_n_vec_a_fun$_1','fmb_A_b_vec_n_vec$_1') = 'fmb_A$_1' 1.73/0.71 & 'fun_app$w'('fmb_A_b_vec_n_vec_a_fun$_1','fmb_A_b_vec_n_vec$_2') = 'fmb_A$_1' 1.73/0.71 & 'fun_app$w'('fmb_A_b_vec_n_vec_a_fun$_2','fmb_A_b_vec_n_vec$_1') = 'fmb_A$_1' 1.73/0.71 & 'fun_app$w'('fmb_A_b_vec_n_vec_a_fun$_2','fmb_A_b_vec_n_vec$_2') = 'fmb_A$_1' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_interchange_rows$c',type,'interchange_rows$c': ('A_b_vec_b_vec$' * 'B$' * 'B$') > 'A_b_vec_b_vec$'). 1.73/0.71 tff('function_interchange_rows$c',axiom, 1.73/0.71 'interchange_rows$c'('fmb_A_b_vec_b_vec$_1','fmb_B$_1','fmb_B$_1') = 'fmb_A_b_vec_b_vec$_1' 1.73/0.71 & 'interchange_rows$c'('fmb_A_b_vec_b_vec$_2','fmb_B$_1','fmb_B$_1') = 'fmb_A_b_vec_b_vec$_2' 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_thesis$',type,'thesis$': $o). 1.73/0.71 tff('thesis$_definition',axiom,'thesis$'). 1.73/0.71 tff('declare_fun_app$ae',type,'fun_app$ae': ('A_b_vec_bool_fun$' * 'A_b_vec$') > $o). 1.73/0.71 tff('predicate_fun_app$ae',axiom, 1.73/0.71 ~'fun_app$ae'('fmb_A_b_vec_bool_fun$_1','fmb_A_b_vec$_1') 1.73/0.71 & ~'fun_app$ae'('fmb_A_b_vec_bool_fun$_1','fmb_A_b_vec$_2') 1.73/0.71 & ~'fun_app$ae'('fmb_A_b_vec_bool_fun$_2','fmb_A_b_vec$_1') 1.73/0.71 & ~'fun_app$ae'('fmb_A_b_vec_bool_fun$_2','fmb_A_b_vec$_2') 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$ab',type,'fun_app$ab': ('A_bool_fun$' * 'A$') > $o). 1.73/0.71 tff('predicate_fun_app$ab',axiom, 1.73/0.71 ~'fun_app$ab'('fmb_A_bool_fun$_1','fmb_A$_1') 1.73/0.71 & ~'fun_app$ab'('fmb_A_bool_fun$_1','fmb_A$_2') 1.73/0.71 & ~'fun_app$ab'('fmb_A_bool_fun$_2','fmb_A$_1') 1.73/0.71 & ~'fun_app$ab'('fmb_A_bool_fun$_2','fmb_A$_2') 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$',type,'fun_app$': ('N_bool_fun$' * 'N$') > $o). 1.73/0.71 tff('predicate_fun_app$',axiom, 1.73/0.71 'fun_app$'('fmb_N_bool_fun$_1','fmb_N$_1') 1.73/0.71 & ~'fun_app$'('fmb_N_bool_fun$_2','fmb_N$_1') 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$x',type,'fun_app$x': ('A_b_vec_n_vec_bool_fun$' * 'A_b_vec_n_vec$') > $o). 1.73/0.71 tff('predicate_fun_app$x',axiom, 1.73/0.71 ~'fun_app$x'('fmb_A_b_vec_n_vec_bool_fun$_1','fmb_A_b_vec_n_vec$_1') 1.73/0.71 & ~'fun_app$x'('fmb_A_b_vec_n_vec_bool_fun$_1','fmb_A_b_vec_n_vec$_2') 1.73/0.71 & ~'fun_app$x'('fmb_A_b_vec_n_vec_bool_fun$_2','fmb_A_b_vec_n_vec$_1') 1.73/0.71 & ~'fun_app$x'('fmb_A_b_vec_n_vec_bool_fun$_2','fmb_A_b_vec_n_vec$_2') 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 tff('declare_fun_app$z',type,'fun_app$z': ('A_n_vec_bool_fun$' * 'A_n_vec$') > $o). 1.73/0.71 tff('predicate_fun_app$z',axiom, 1.73/0.71 ~'fun_app$z'('fmb_A_n_vec_bool_fun$_1','fmb_A_n_vec$_1') 1.73/0.71 & ~'fun_app$z'('fmb_A_n_vec_bool_fun$_1','fmb_A_n_vec$_2') 1.73/0.71 & ~'fun_app$z'('fmb_A_n_vec_bool_fun$_2','fmb_A_n_vec$_1') 1.73/0.71 & ~'fun_app$z'('fmb_A_n_vec_bool_fun$_2','fmb_A_n_vec$_2') 1.73/0.71 1.73/0.71 ). 1.73/0.71 1.73/0.71 % SZS output end FiniteModel for theBenchmark 1.73/0.71 % (31852)------------------------------ 1.73/0.71 % (31852)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.73/0.71 % (31852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.73/0.71 % (31852)Termination reason: Satisfiable 1.73/0.71 1.73/0.71 % (31852)Time elapsed: 0.129 s 1.73/0.71 % (31852)Peak memory usage: 23 MB 1.73/0.71 % (31852)Instructions burned: 463 (million) 1.73/0.71 % (31852)------------------------------ 1.73/0.71 % (31852)------------------------------ 1.73/0.71 % (31836)Success in time 0.332 s 1.73/0.71 EOF