TSTP Solution File: TOP012-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : TOP012-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:53:22 EDT 2022
% Result : Satisfiable 3.04s 0.74s
% Output : FiniteModel 3.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : TOP012-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n021.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 14:30:25 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.46 % (7285)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.46 % (7278)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.46 % (7277)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.46 % (7279)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.47 % (7295)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.47 % (7293)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.47 % (7278)Instruction limit reached!
% 0.15/0.47 % (7278)------------------------------
% 0.15/0.47 % (7278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (7278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (7278)Termination reason: Unknown
% 0.15/0.47 % (7278)Termination phase: shuffling
% 0.15/0.47
% 0.15/0.47 % (7287)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.47 % (7278)Memory used [KB]: 1023
% 0.15/0.47 % (7278)Time elapsed: 0.004 s
% 0.15/0.47 % (7278)Instructions burned: 2 (million)
% 0.15/0.47 % (7278)------------------------------
% 0.15/0.47 % (7278)------------------------------
% 0.15/0.47 % (7286)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.48 % (7277)Instruction limit reached!
% 0.15/0.48 % (7277)------------------------------
% 0.15/0.48 % (7277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (7277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (7277)Termination reason: Unknown
% 0.15/0.48 % (7277)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (7277)Memory used [KB]: 5628
% 0.15/0.48 % (7277)Time elapsed: 0.105 s
% 0.15/0.48 % (7277)Instructions burned: 8 (million)
% 0.15/0.48 % (7277)------------------------------
% 0.15/0.48 % (7277)------------------------------
% 0.15/0.49 % (7294)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.50 % (7272)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.50 % (7274)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.50 TRYING [1]
% 0.15/0.50 % (7275)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.50 TRYING [2]
% 0.15/0.51 % (7290)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.15/0.51 % (7288)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.52 % (7284)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.52 % (7280)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.52 % (7282)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.52 % (7292)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.53 % (7276)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.54 % (7299)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.15/0.54 % (7296)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.54 % (7298)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.60/0.55 % (7273)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.60/0.55 % (7283)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.60/0.55 % (7271)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.60/0.55 % (7287)Instruction limit reached!
% 1.60/0.55 % (7287)------------------------------
% 1.60/0.55 % (7287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.55 % (7287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.55 % (7287)Termination reason: Unknown
% 1.60/0.55 % (7287)Termination phase: Finite model building SAT solving
% 1.60/0.55
% 1.60/0.55 % (7287)Memory used [KB]: 7675
% 1.60/0.55 % (7287)Time elapsed: 0.157 s
% 1.60/0.55 % (7287)Instructions burned: 59 (million)
% 1.60/0.55 % (7287)------------------------------
% 1.60/0.55 % (7287)------------------------------
% 1.60/0.55 % (7279)Instruction limit reached!
% 1.60/0.55 % (7279)------------------------------
% 1.60/0.55 % (7279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.55 % (7279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.55 % (7279)Termination reason: Unknown
% 1.60/0.55 % (7279)Termination phase: Saturation
% 1.60/0.55
% 1.60/0.55 % (7279)Memory used [KB]: 1535
% 1.60/0.55 % (7279)Time elapsed: 0.182 s
% 1.60/0.55 % (7279)Instructions burned: 52 (million)
% 1.60/0.55 % (7279)------------------------------
% 1.60/0.55 % (7279)------------------------------
% 1.60/0.56 TRYING [1]
% 1.97/0.56 TRYING [2]
% 1.97/0.57 % (7291)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.97/0.57 % (7271)Refutation not found, incomplete strategy% (7271)------------------------------
% 1.97/0.57 % (7271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.57 % (7271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.57 % (7271)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.57
% 1.97/0.57 % (7271)Memory used [KB]: 5628
% 1.97/0.57 % (7271)Time elapsed: 0.176 s
% 1.97/0.57 % (7271)Instructions burned: 6 (million)
% 1.97/0.57 % (7271)------------------------------
% 1.97/0.57 % (7271)------------------------------
% 1.97/0.57 % (7270)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.97/0.58 % (7272)Instruction limit reached!
% 1.97/0.58 % (7272)------------------------------
% 1.97/0.58 % (7272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.58 % (7272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.58 % (7272)Termination reason: Unknown
% 1.97/0.58 % (7272)Termination phase: Saturation
% 1.97/0.58
% 1.97/0.58 % (7272)Memory used [KB]: 1663
% 1.97/0.58 % (7272)Time elapsed: 0.223 s
% 1.97/0.58 % (7272)Instructions burned: 38 (million)
% 1.97/0.58 % (7272)------------------------------
% 1.97/0.58 % (7272)------------------------------
% 1.97/0.60 % (7286)Instruction limit reached!
% 1.97/0.60 % (7286)------------------------------
% 1.97/0.60 % (7286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.60 % (7286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.60 % (7286)Termination reason: Unknown
% 1.97/0.60 % (7286)Termination phase: Saturation
% 1.97/0.60
% 1.97/0.60 % (7286)Memory used [KB]: 6908
% 1.97/0.60 % (7286)Time elapsed: 0.239 s
% 1.97/0.60 % (7286)Instructions burned: 99 (million)
% 1.97/0.60 % (7286)------------------------------
% 1.97/0.60 % (7286)------------------------------
% 1.97/0.61 % (7297)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.97/0.61 % (7275)Instruction limit reached!
% 1.97/0.61 % (7275)------------------------------
% 1.97/0.61 % (7275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (7275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (7275)Termination reason: Unknown
% 1.97/0.61 % (7275)Termination phase: Saturation
% 1.97/0.61
% 1.97/0.61 % (7275)Memory used [KB]: 6140
% 1.97/0.61 % (7275)Time elapsed: 0.254 s
% 1.97/0.61 % (7275)Instructions burned: 48 (million)
% 1.97/0.61 % (7275)------------------------------
% 1.97/0.61 % (7275)------------------------------
% 1.97/0.61 % (7276)Instruction limit reached!
% 1.97/0.61 % (7276)------------------------------
% 1.97/0.61 % (7276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (7276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (7276)Termination reason: Unknown
% 1.97/0.61 % (7276)Termination phase: Finite model building SAT solving
% 1.97/0.61
% 1.97/0.61 % (7276)Memory used [KB]: 7419
% 1.97/0.61 % (7276)Time elapsed: 0.182 s
% 1.97/0.61 % (7276)Instructions burned: 52 (million)
% 1.97/0.61 % (7276)------------------------------
% 1.97/0.61 % (7276)------------------------------
% 1.97/0.61 % (7274)Instruction limit reached!
% 1.97/0.61 % (7274)------------------------------
% 1.97/0.61 % (7274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (7274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (7274)Termination reason: Unknown
% 1.97/0.61 % (7274)Termination phase: Saturation
% 1.97/0.61
% 1.97/0.61 % (7274)Memory used [KB]: 6524
% 1.97/0.61 % (7274)Time elapsed: 0.254 s
% 1.97/0.61 % (7274)Instructions burned: 51 (million)
% 1.97/0.61 % (7274)------------------------------
% 1.97/0.61 % (7274)------------------------------
% 1.97/0.62 % (7281)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.97/0.63 % (7280)Instruction limit reached!
% 1.97/0.63 % (7280)------------------------------
% 1.97/0.63 % (7280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.63 % (7280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.63 % (7280)Termination reason: Unknown
% 1.97/0.63 % (7280)Termination phase: Saturation
% 1.97/0.63
% 1.97/0.63 % (7280)Memory used [KB]: 6524
% 1.97/0.63 % (7280)Time elapsed: 0.276 s
% 1.97/0.63 % (7280)Instructions burned: 51 (million)
% 1.97/0.63 % (7280)------------------------------
% 1.97/0.63 % (7280)------------------------------
% 1.97/0.63 % (7289)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.97/0.65 TRYING [1]
% 1.97/0.65 TRYING [2]
% 2.62/0.68 % (7285)Instruction limit reached!
% 2.62/0.68 % (7285)------------------------------
% 2.62/0.68 % (7285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.68 % (7285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.68 % (7285)Termination reason: Unknown
% 2.62/0.68 % (7285)Termination phase: Saturation
% 2.62/0.68
% 2.62/0.68 % (7285)Memory used [KB]: 2046
% 2.62/0.68 % (7285)Time elapsed: 0.326 s
% 2.62/0.68 % (7285)Instructions burned: 76 (million)
% 2.62/0.68 % (7285)------------------------------
% 2.62/0.68 % (7285)------------------------------
% 2.76/0.70 % (7284)Instruction limit reached!
% 2.76/0.70 % (7284)------------------------------
% 2.76/0.70 % (7284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.70 % (7284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.70 % (7284)Termination reason: Unknown
% 2.76/0.70 % (7284)Termination phase: Saturation
% 2.76/0.70
% 2.76/0.70 % (7284)Memory used [KB]: 6780
% 2.76/0.70 % (7284)Time elapsed: 0.053 s
% 2.76/0.70 % (7284)Instructions burned: 68 (million)
% 2.76/0.70 % (7284)------------------------------
% 2.76/0.70 % (7284)------------------------------
% 2.76/0.70 % (7296)Instruction limit reached!
% 2.76/0.70 % (7296)------------------------------
% 2.76/0.70 % (7296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.70 % (7296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.70 % (7296)Termination reason: Unknown
% 2.76/0.70 % (7296)Termination phase: Saturation
% 2.76/0.70
% 2.76/0.70 % (7296)Memory used [KB]: 6908
% 2.76/0.70 % (7296)Time elapsed: 0.049 s
% 2.76/0.70 % (7296)Instructions burned: 69 (million)
% 2.76/0.70 % (7296)------------------------------
% 2.76/0.70 % (7296)------------------------------
% 2.76/0.72 % (7273)Instruction limit reached!
% 2.76/0.72 % (7273)------------------------------
% 2.76/0.72 % (7273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.72 % (7273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.72 % (7273)Termination reason: Unknown
% 2.76/0.72 % (7273)Termination phase: Saturation
% 2.76/0.72
% 2.76/0.72 % (7273)Memory used [KB]: 6396
% 2.76/0.72 % (7273)Time elapsed: 0.344 s
% 2.76/0.72 % (7273)Instructions burned: 51 (million)
% 2.76/0.72 % (7273)------------------------------
% 2.76/0.72 % (7273)------------------------------
% 2.76/0.73 % (7306)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.76/0.73 % (7302)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.99/0.73 % (7300)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.99/0.74 % (7303)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.04/0.74 Finite Model Found!
% 3.04/0.74 % SZS status Satisfiable for theBenchmark
% 3.04/0.75 % (7270)First to succeed.
% 3.04/0.75 % SZS output start FiniteModel for theBenchmark
% 3.04/0.75 tff(declare_$i,type,$i:$tType).
% 3.04/0.75 tff(declare_$i1,type,empty_set:$i).
% 3.04/0.75 tff(declare_$i2,type,fmb_$i_2:$i).
% 3.04/0.75 tff(finite_domain,axiom,
% 3.04/0.75 ! [X:$i] : (
% 3.04/0.75 X = empty_set | X = fmb_$i_2
% 3.04/0.75 ) ).
% 3.04/0.75
% 3.04/0.75 tff(distinct_domain,axiom,
% 3.04/0.75 empty_set != fmb_$i_2
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_bool,type,$o:$tType).
% 3.04/0.75 tff(declare_bool1,type,fmb_bool_1:$o).
% 3.04/0.75 tff(finite_domain,axiom,
% 3.04/0.75 ! [X:$o] : (
% 3.04/0.75 X = fmb_bool_1
% 3.04/0.75 ) ).
% 3.04/0.75
% 3.04/0.75 tff(declare_cx,type,cx:$i).
% 3.04/0.75 tff(cx_definition,axiom,cx = empty_set).
% 3.04/0.75 tff(declare_ct,type,ct:$i).
% 3.04/0.75 tff(ct_definition,axiom,ct = empty_set).
% 3.04/0.75 tff(declare_cy1,type,cy1:$i).
% 3.04/0.75 tff(cy1_definition,axiom,cy1 = empty_set).
% 3.04/0.75 tff(declare_f,type,f:$i).
% 3.04/0.75 tff(f_definition,axiom,f = empty_set).
% 3.04/0.75 tff(declare_cy2,type,cy2:$i).
% 3.04/0.75 tff(cy2_definition,axiom,cy2 = empty_set).
% 3.04/0.75 tff(declare_union_of_members,type,union_of_members: $i > $i).
% 3.04/0.75 tff(function_union_of_members,axiom,
% 3.04/0.75 union_of_members(empty_set) = empty_set
% 3.04/0.75 & union_of_members(fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f1,type,f1: $i * $i > $i).
% 3.04/0.75 tff(function_f1,axiom,
% 3.04/0.75 f1(empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f1(empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f1(fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f1(fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_intersection_of_members,type,intersection_of_members: $i > $i).
% 3.04/0.75 tff(function_intersection_of_members,axiom,
% 3.04/0.75 intersection_of_members(empty_set) = empty_set
% 3.04/0.75 & intersection_of_members(fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f2,type,f2: $i * $i > $i).
% 3.04/0.75 tff(function_f2,axiom,
% 3.04/0.75 f2(empty_set,empty_set) = empty_set
% 3.04/0.75 & f2(empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f2(fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f2(fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_intersection_of_sets,type,intersection_of_sets: $i * $i > $i).
% 3.04/0.75 tff(function_intersection_of_sets,axiom,
% 3.04/0.75 intersection_of_sets(empty_set,empty_set) = empty_set
% 3.04/0.75 & intersection_of_sets(empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & intersection_of_sets(fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & intersection_of_sets(fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f3,type,f3: $i * $i > $i).
% 3.04/0.75 tff(function_f3,axiom,
% 3.04/0.75 f3(empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f3(empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f3(fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f3(fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f5,type,f5: $i * $i > $i).
% 3.04/0.75 tff(function_f5,axiom,
% 3.04/0.75 f5(empty_set,empty_set) = empty_set
% 3.04/0.75 & f5(empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f5(fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f5(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f4,type,f4: $i * $i > $i).
% 3.04/0.75 tff(function_f4,axiom,
% 3.04/0.75 f4(empty_set,empty_set) = empty_set
% 3.04/0.75 & f4(empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f4(fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f4(fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_relative_complement_sets,type,relative_complement_sets: $i * $i > $i).
% 3.04/0.75 tff(function_relative_complement_sets,axiom,
% 3.04/0.75 relative_complement_sets(empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & relative_complement_sets(empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & relative_complement_sets(fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & relative_complement_sets(fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f6,type,f6: $i * $i * $i * $i * $i > $i).
% 3.04/0.75 tff(function_f6,axiom,
% 3.04/0.75 f6(empty_set,empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f6(empty_set,empty_set,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f6(empty_set,empty_set,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f6(empty_set,empty_set,empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f6(empty_set,empty_set,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f6(empty_set,empty_set,fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f6(empty_set,empty_set,fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f6(empty_set,empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f6(empty_set,fmb_$i_2,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f6(empty_set,fmb_$i_2,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f6(empty_set,fmb_$i_2,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f6(empty_set,fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f6(empty_set,fmb_$i_2,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f6(empty_set,fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f6(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f6(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f6(fmb_$i_2,empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f6(fmb_$i_2,empty_set,empty_set,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f6(fmb_$i_2,empty_set,empty_set,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f6(fmb_$i_2,empty_set,empty_set,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f6(fmb_$i_2,empty_set,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f6(fmb_$i_2,empty_set,fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f6(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f6(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f6(fmb_$i_2,fmb_$i_2,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f6(fmb_$i_2,fmb_$i_2,empty_set,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f6(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f6(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f6(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f6(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f6(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f6(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f7,type,f7: $i * $i > $i).
% 3.04/0.75 tff(function_f7,axiom,
% 3.04/0.75 f7(empty_set,empty_set) = empty_set
% 3.04/0.75 & f7(empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f7(fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f7(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f8,type,f8: $i * $i > $i).
% 3.04/0.75 tff(function_f8,axiom,
% 3.04/0.75 f8(empty_set,empty_set) = empty_set
% 3.04/0.75 & f8(empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f8(fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f8(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f9,type,f9: $i * $i > $i).
% 3.04/0.75 tff(function_f9,axiom,
% 3.04/0.75 f9(empty_set,empty_set) = empty_set
% 3.04/0.75 & f9(empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f9(fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f9(fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_top_of_basis,type,top_of_basis: $i > $i).
% 3.04/0.75 tff(function_top_of_basis,axiom,
% 3.04/0.75 top_of_basis(empty_set) = empty_set
% 3.04/0.75 & top_of_basis(fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f10,type,f10: $i * $i * $i > $i).
% 3.04/0.75 tff(function_f10,axiom,
% 3.04/0.75 f10(empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f10(empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f10(empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f10(empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f10(fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f10(fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f10(fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f10(fmb_$i_2,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f11,type,f11: $i * $i > $i).
% 3.04/0.75 tff(function_f11,axiom,
% 3.04/0.75 f11(empty_set,empty_set) = empty_set
% 3.04/0.75 & f11(empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f11(fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f11(fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_subspace_topology,type,subspace_topology: $i * $i * $i > $i).
% 3.04/0.75 tff(function_subspace_topology,axiom,
% 3.04/0.75 subspace_topology(empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & subspace_topology(empty_set,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & subspace_topology(empty_set,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & subspace_topology(empty_set,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & subspace_topology(fmb_$i_2,empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & subspace_topology(fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & subspace_topology(fmb_$i_2,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & subspace_topology(fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f12,type,f12: $i * $i * $i * $i > $i).
% 3.04/0.75 tff(function_f12,axiom,
% 3.04/0.75 f12(empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f12(empty_set,empty_set,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f12(empty_set,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f12(empty_set,empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f12(empty_set,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f12(empty_set,fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f12(empty_set,fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f12(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f12(fmb_$i_2,empty_set,empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f12(fmb_$i_2,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f12(fmb_$i_2,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f12(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f12(fmb_$i_2,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f12(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f12(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f12(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_interior,type,interior: $i * $i * $i > $i).
% 3.04/0.75 tff(function_interior,axiom,
% 3.04/0.75 interior(empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & interior(empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & interior(empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & interior(empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & interior(fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & interior(fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & interior(fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & interior(fmb_$i_2,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f13,type,f13: $i * $i * $i * $i > $i).
% 3.04/0.75 tff(function_f13,axiom,
% 3.04/0.75 f13(empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f13(empty_set,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f13(empty_set,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f13(empty_set,empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f13(empty_set,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f13(empty_set,fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f13(empty_set,fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f13(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f13(fmb_$i_2,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f13(fmb_$i_2,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f13(fmb_$i_2,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f13(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f13(fmb_$i_2,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f13(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f13(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f13(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_closure,type,closure: $i * $i * $i > $i).
% 3.04/0.75 tff(function_closure,axiom,
% 3.04/0.75 closure(empty_set,empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & closure(empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & closure(empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & closure(empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & closure(fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & closure(fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & closure(fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & closure(fmb_$i_2,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f14,type,f14: $i * $i * $i * $i > $i).
% 3.04/0.75 tff(function_f14,axiom,
% 3.04/0.75 f14(empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f14(empty_set,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f14(empty_set,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f14(empty_set,empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f14(empty_set,fmb_$i_2,empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f14(empty_set,fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f14(empty_set,fmb_$i_2,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f14(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f14(fmb_$i_2,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f14(fmb_$i_2,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f14(fmb_$i_2,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f14(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f14(fmb_$i_2,fmb_$i_2,empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f14(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f14(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f14(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f15,type,f15: $i * $i * $i * $i * $i > $i).
% 3.04/0.75 tff(function_f15,axiom,
% 3.04/0.75 f15(empty_set,empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f15(empty_set,empty_set,empty_set,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f15(empty_set,empty_set,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f15(empty_set,empty_set,empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f15(empty_set,empty_set,fmb_$i_2,empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f15(empty_set,empty_set,fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f15(empty_set,empty_set,fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f15(empty_set,empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f15(empty_set,fmb_$i_2,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f15(empty_set,fmb_$i_2,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f15(empty_set,fmb_$i_2,empty_set,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f15(empty_set,fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f15(empty_set,fmb_$i_2,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f15(empty_set,fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f15(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f15(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,empty_set,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,empty_set,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,empty_set,empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,empty_set,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,empty_set,fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f15(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,fmb_$i_2,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,fmb_$i_2,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f15(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f15(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f16,type,f16: $i * $i * $i * $i > $i).
% 3.04/0.75 tff(function_f16,axiom,
% 3.04/0.75 f16(empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f16(empty_set,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f16(empty_set,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f16(empty_set,empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f16(empty_set,fmb_$i_2,empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f16(empty_set,fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f16(empty_set,fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f16(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f16(fmb_$i_2,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f16(fmb_$i_2,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f16(fmb_$i_2,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f16(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f16(fmb_$i_2,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f16(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f16(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f16(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_boundary,type,boundary: $i * $i * $i > $i).
% 3.04/0.75 tff(function_boundary,axiom,
% 3.04/0.75 boundary(empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & boundary(empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & boundary(empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & boundary(empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & boundary(fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & boundary(fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & boundary(fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & boundary(fmb_$i_2,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f17,type,f17: $i * $i * $i * $i > $i).
% 3.04/0.75 tff(function_f17,axiom,
% 3.04/0.75 f17(empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f17(empty_set,empty_set,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f17(empty_set,empty_set,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f17(empty_set,empty_set,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f17(empty_set,fmb_$i_2,empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f17(empty_set,fmb_$i_2,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f17(empty_set,fmb_$i_2,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f17(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f17(fmb_$i_2,empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f17(fmb_$i_2,empty_set,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f17(fmb_$i_2,empty_set,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f17(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75 & f17(fmb_$i_2,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f17(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f17(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f17(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f18,type,f18: $i * $i * $i * $i > $i).
% 3.04/0.75 tff(function_f18,axiom,
% 3.04/0.75 f18(empty_set,empty_set,empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f18(empty_set,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f18(empty_set,empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f18(empty_set,empty_set,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f18(empty_set,fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f18(empty_set,fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f18(empty_set,fmb_$i_2,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f18(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f18(fmb_$i_2,empty_set,empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f18(fmb_$i_2,empty_set,empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f18(fmb_$i_2,empty_set,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f18(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f18(fmb_$i_2,fmb_$i_2,empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f18(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f18(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f18(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f19,type,f19: $i * $i > $i).
% 3.04/0.75 tff(function_f19,axiom,
% 3.04/0.75 f19(empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f19(empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f19(fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f19(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f20,type,f20: $i * $i > $i).
% 3.04/0.75 tff(function_f20,axiom,
% 3.04/0.75 f20(empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f20(empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f20(fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f20(fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_union_of_sets,type,union_of_sets: $i * $i > $i).
% 3.04/0.75 tff(function_union_of_sets,axiom,
% 3.04/0.75 union_of_sets(empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & union_of_sets(empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & union_of_sets(fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & union_of_sets(fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f21,type,f21: $i * $i > $i).
% 3.04/0.75 tff(function_f21,axiom,
% 3.04/0.75 f21(empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f21(empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f21(fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f21(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f22,type,f22: $i * $i > $i).
% 3.04/0.75 tff(function_f22,axiom,
% 3.04/0.75 f22(empty_set,empty_set) = empty_set
% 3.04/0.75 & f22(empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f22(fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f22(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f23,type,f23: $i * $i * $i > $i).
% 3.04/0.75 tff(function_f23,axiom,
% 3.04/0.75 f23(empty_set,empty_set,empty_set) = empty_set
% 3.04/0.75 & f23(empty_set,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f23(empty_set,fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f23(empty_set,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f23(fmb_$i_2,empty_set,empty_set) = empty_set
% 3.04/0.75 & f23(fmb_$i_2,empty_set,fmb_$i_2) = fmb_$i_2
% 3.04/0.75 & f23(fmb_$i_2,fmb_$i_2,empty_set) = fmb_$i_2
% 3.04/0.75 & f23(fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_f24,type,f24: $i * $i > $i).
% 3.04/0.75 tff(function_f24,axiom,
% 3.04/0.75 f24(empty_set,empty_set) = fmb_$i_2
% 3.04/0.75 & f24(empty_set,fmb_$i_2) = empty_set
% 3.04/0.75 & f24(fmb_$i_2,empty_set) = empty_set
% 3.04/0.75 & f24(fmb_$i_2,fmb_$i_2) = empty_set
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_element_of_set,type,element_of_set: $i * $i > $o ).
% 3.04/0.75 tff(predicate_element_of_set,axiom,
% 3.04/0.75 ~element_of_set(empty_set,empty_set)
% 3.04/0.75 & element_of_set(empty_set,fmb_$i_2)
% 3.04/0.75 & ~element_of_set(fmb_$i_2,empty_set)
% 3.04/0.75 & element_of_set(fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_element_of_collection,type,element_of_collection: $i * $i > $o ).
% 3.04/0.75 tff(predicate_element_of_collection,axiom,
% 3.04/0.75 element_of_collection(empty_set,empty_set)
% 3.04/0.75 & ~element_of_collection(empty_set,fmb_$i_2)
% 3.04/0.75 & ~element_of_collection(fmb_$i_2,empty_set)
% 3.04/0.75 & ~element_of_collection(fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_topological_space,type,topological_space: $i * $i > $o ).
% 3.04/0.75 tff(predicate_topological_space,axiom,
% 3.04/0.75 topological_space(empty_set,empty_set)
% 3.04/0.75 & ~topological_space(empty_set,fmb_$i_2)
% 3.04/0.75 & ~topological_space(fmb_$i_2,empty_set)
% 3.04/0.75 & ~topological_space(fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_equal_sets,type,equal_sets: $i * $i > $o ).
% 3.04/0.75 tff(predicate_equal_sets,axiom,
% 3.04/0.75 equal_sets(empty_set,empty_set)
% 3.04/0.75 & equal_sets(empty_set,fmb_$i_2)
% 3.04/0.75 & ~equal_sets(fmb_$i_2,empty_set)
% 3.04/0.75 & ~equal_sets(fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_subset_collections,type,subset_collections: $i * $i > $o ).
% 3.04/0.75 tff(predicate_subset_collections,axiom,
% 3.04/0.75 ~subset_collections(empty_set,empty_set)
% 3.04/0.75 & subset_collections(empty_set,fmb_$i_2)
% 3.04/0.75 & ~subset_collections(fmb_$i_2,empty_set)
% 3.04/0.75 & ~subset_collections(fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_open,type,open: $i * $i * $i > $o ).
% 3.04/0.75 tff(predicate_open,axiom,
% 3.04/0.75 open(empty_set,empty_set,empty_set)
% 3.04/0.75 & ~open(empty_set,empty_set,fmb_$i_2)
% 3.04/0.75 & ~open(empty_set,fmb_$i_2,empty_set)
% 3.04/0.75 & ~open(empty_set,fmb_$i_2,fmb_$i_2)
% 3.04/0.75 & ~open(fmb_$i_2,empty_set,empty_set)
% 3.04/0.75 & ~open(fmb_$i_2,empty_set,fmb_$i_2)
% 3.04/0.75 & ~open(fmb_$i_2,fmb_$i_2,empty_set)
% 3.04/0.75 & ~open(fmb_$i_2,fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_closed,type,closed: $i * $i * $i > $o ).
% 3.04/0.75 tff(predicate_closed,axiom,
% 3.04/0.75 ~closed(empty_set,empty_set,empty_set)
% 3.04/0.75 & ~closed(empty_set,empty_set,fmb_$i_2)
% 3.04/0.75 & ~closed(empty_set,fmb_$i_2,empty_set)
% 3.04/0.75 & ~closed(empty_set,fmb_$i_2,fmb_$i_2)
% 3.04/0.75 & ~closed(fmb_$i_2,empty_set,empty_set)
% 3.04/0.75 & ~closed(fmb_$i_2,empty_set,fmb_$i_2)
% 3.04/0.75 & ~closed(fmb_$i_2,fmb_$i_2,empty_set)
% 3.04/0.75 & ~closed(fmb_$i_2,fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_finer,type,finer: $i * $i * $i > $o ).
% 3.04/0.75 tff(predicate_finer,axiom,
% 3.04/0.75 ~finer(empty_set,empty_set,empty_set)
% 3.04/0.75 % finer(empty_set,empty_set,fmb_$i_2) undefined in model
% 3.04/0.75 % finer(empty_set,fmb_$i_2,empty_set) undefined in model
% 3.04/0.75 % finer(empty_set,fmb_$i_2,fmb_$i_2) undefined in model
% 3.04/0.75 % finer(fmb_$i_2,empty_set,empty_set) undefined in model
% 3.04/0.75 % finer(fmb_$i_2,empty_set,fmb_$i_2) undefined in model
% 3.04/0.75 % finer(fmb_$i_2,fmb_$i_2,empty_set) undefined in model
% 3.04/0.75 % finer(fmb_$i_2,fmb_$i_2,fmb_$i_2) undefined in model
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_basis,type,basis: $i * $i > $o ).
% 3.04/0.75 tff(predicate_basis,axiom,
% 3.04/0.75 basis(empty_set,empty_set)
% 3.04/0.75 & basis(empty_set,fmb_$i_2)
% 3.04/0.75 & basis(fmb_$i_2,empty_set)
% 3.04/0.75 & basis(fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_subset_sets,type,subset_sets: $i * $i > $o ).
% 3.04/0.75 tff(predicate_subset_sets,axiom,
% 3.04/0.75 subset_sets(empty_set,empty_set)
% 3.04/0.75 & subset_sets(empty_set,fmb_$i_2)
% 3.04/0.75 & ~subset_sets(fmb_$i_2,empty_set)
% 3.04/0.75 & ~subset_sets(fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_neighborhood,type,neighborhood: $i * $i * $i * $i > $o ).
% 3.04/0.75 tff(predicate_neighborhood,axiom,
% 3.04/0.75 ~neighborhood(empty_set,empty_set,empty_set,empty_set)
% 3.04/0.75 & ~neighborhood(empty_set,empty_set,empty_set,fmb_$i_2)
% 3.04/0.75 & ~neighborhood(empty_set,empty_set,fmb_$i_2,empty_set)
% 3.04/0.75 & ~neighborhood(empty_set,empty_set,fmb_$i_2,fmb_$i_2)
% 3.04/0.75 & ~neighborhood(empty_set,fmb_$i_2,empty_set,empty_set)
% 3.04/0.75 & ~neighborhood(empty_set,fmb_$i_2,empty_set,fmb_$i_2)
% 3.04/0.75 & ~neighborhood(empty_set,fmb_$i_2,fmb_$i_2,empty_set)
% 3.04/0.75 & ~neighborhood(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2)
% 3.04/0.75 & ~neighborhood(fmb_$i_2,empty_set,empty_set,empty_set)
% 3.04/0.75 & ~neighborhood(fmb_$i_2,empty_set,empty_set,fmb_$i_2)
% 3.04/0.75 & ~neighborhood(fmb_$i_2,empty_set,fmb_$i_2,empty_set)
% 3.04/0.75 & ~neighborhood(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2)
% 3.04/0.75 & ~neighborhood(fmb_$i_2,fmb_$i_2,empty_set,empty_set)
% 3.04/0.75 & ~neighborhood(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2)
% 3.04/0.75 & ~neighborhood(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set)
% 3.04/0.75 & ~neighborhood(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_limit_point,type,limit_point: $i * $i * $i * $i > $o ).
% 3.04/0.75 tff(predicate_limit_point,axiom,
% 3.04/0.75 limit_point(empty_set,empty_set,empty_set,empty_set)
% 3.04/0.75 & ~limit_point(empty_set,empty_set,empty_set,fmb_$i_2)
% 3.04/0.75 & ~limit_point(empty_set,empty_set,fmb_$i_2,empty_set)
% 3.04/0.75 & ~limit_point(empty_set,empty_set,fmb_$i_2,fmb_$i_2)
% 3.04/0.75 & ~limit_point(empty_set,fmb_$i_2,empty_set,empty_set)
% 3.04/0.75 & ~limit_point(empty_set,fmb_$i_2,empty_set,fmb_$i_2)
% 3.04/0.75 & ~limit_point(empty_set,fmb_$i_2,fmb_$i_2,empty_set)
% 3.04/0.75 & ~limit_point(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2)
% 3.04/0.75 & limit_point(fmb_$i_2,empty_set,empty_set,empty_set)
% 3.04/0.75 & ~limit_point(fmb_$i_2,empty_set,empty_set,fmb_$i_2)
% 3.04/0.75 & ~limit_point(fmb_$i_2,empty_set,fmb_$i_2,empty_set)
% 3.04/0.75 & ~limit_point(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2)
% 3.04/0.75 & ~limit_point(fmb_$i_2,fmb_$i_2,empty_set,empty_set)
% 3.04/0.75 & ~limit_point(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2)
% 3.04/0.75 & ~limit_point(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set)
% 3.04/0.75 & ~limit_point(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_eq_p,type,eq_p: $i * $i > $o ).
% 3.04/0.75 tff(predicate_eq_p,axiom,
% 3.04/0.75 eq_p(empty_set,empty_set)
% 3.04/0.75 & eq_p(empty_set,fmb_$i_2)
% 3.04/0.75 & eq_p(fmb_$i_2,empty_set)
% 3.04/0.75 & eq_p(fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_hausdorff,type,hausdorff: $i * $i > $o ).
% 3.04/0.75 tff(predicate_hausdorff,axiom,
% 3.04/0.75 hausdorff(empty_set,empty_set)
% 3.04/0.75 & hausdorff(empty_set,fmb_$i_2)
% 3.04/0.75 & hausdorff(fmb_$i_2,empty_set)
% 3.04/0.75 & hausdorff(fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_disjoint_s,type,disjoint_s: $i * $i > $o ).
% 3.04/0.75 tff(predicate_disjoint_s,axiom,
% 3.04/0.75 disjoint_s(empty_set,empty_set)
% 3.04/0.75 & ~disjoint_s(empty_set,fmb_$i_2)
% 3.04/0.75 & disjoint_s(fmb_$i_2,empty_set)
% 3.04/0.75 & ~disjoint_s(fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_separation,type,separation: $i * $i * $i * $i > $o ).
% 3.04/0.75 tff(predicate_separation,axiom,
% 3.04/0.75 ~separation(empty_set,empty_set,empty_set,empty_set)
% 3.04/0.75 & ~separation(empty_set,empty_set,empty_set,fmb_$i_2)
% 3.04/0.75 & ~separation(empty_set,empty_set,fmb_$i_2,empty_set)
% 3.04/0.75 & ~separation(empty_set,empty_set,fmb_$i_2,fmb_$i_2)
% 3.04/0.75 & ~separation(empty_set,fmb_$i_2,empty_set,empty_set)
% 3.04/0.75 & ~separation(empty_set,fmb_$i_2,empty_set,fmb_$i_2)
% 3.04/0.75 & ~separation(empty_set,fmb_$i_2,fmb_$i_2,empty_set)
% 3.04/0.75 & ~separation(empty_set,fmb_$i_2,fmb_$i_2,fmb_$i_2)
% 3.04/0.75 & ~separation(fmb_$i_2,empty_set,empty_set,empty_set)
% 3.04/0.75 & ~separation(fmb_$i_2,empty_set,empty_set,fmb_$i_2)
% 3.04/0.75 & ~separation(fmb_$i_2,empty_set,fmb_$i_2,empty_set)
% 3.04/0.75 & ~separation(fmb_$i_2,empty_set,fmb_$i_2,fmb_$i_2)
% 3.04/0.75 & ~separation(fmb_$i_2,fmb_$i_2,empty_set,empty_set)
% 3.04/0.75 & ~separation(fmb_$i_2,fmb_$i_2,empty_set,fmb_$i_2)
% 3.04/0.75 & ~separation(fmb_$i_2,fmb_$i_2,fmb_$i_2,empty_set)
% 3.04/0.75 & ~separation(fmb_$i_2,fmb_$i_2,fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_connected_space,type,connected_space: $i * $i > $o ).
% 3.04/0.75 tff(predicate_connected_space,axiom,
% 3.04/0.75 connected_space(empty_set,empty_set)
% 3.04/0.75 & ~connected_space(empty_set,fmb_$i_2)
% 3.04/0.75 & ~connected_space(fmb_$i_2,empty_set)
% 3.04/0.75 & ~connected_space(fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_connected_set,type,connected_set: $i * $i * $i > $o ).
% 3.04/0.75 tff(predicate_connected_set,axiom,
% 3.04/0.75 ~connected_set(empty_set,empty_set,empty_set)
% 3.04/0.75 % connected_set(empty_set,empty_set,fmb_$i_2) undefined in model
% 3.04/0.75 % connected_set(empty_set,fmb_$i_2,empty_set) undefined in model
% 3.04/0.75 % connected_set(empty_set,fmb_$i_2,fmb_$i_2) undefined in model
% 3.04/0.75 % connected_set(fmb_$i_2,empty_set,empty_set) undefined in model
% 3.04/0.75 % connected_set(fmb_$i_2,empty_set,fmb_$i_2) undefined in model
% 3.04/0.75 % connected_set(fmb_$i_2,fmb_$i_2,empty_set) undefined in model
% 3.04/0.75 % connected_set(fmb_$i_2,fmb_$i_2,fmb_$i_2) undefined in model
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_open_covering,type,open_covering: $i * $i * $i > $o ).
% 3.04/0.75 tff(predicate_open_covering,axiom,
% 3.04/0.75 ~open_covering(empty_set,empty_set,empty_set)
% 3.04/0.75 & ~open_covering(empty_set,empty_set,fmb_$i_2)
% 3.04/0.75 & ~open_covering(empty_set,fmb_$i_2,empty_set)
% 3.04/0.75 & ~open_covering(empty_set,fmb_$i_2,fmb_$i_2)
% 3.04/0.75 & ~open_covering(fmb_$i_2,empty_set,empty_set)
% 3.04/0.75 & ~open_covering(fmb_$i_2,empty_set,fmb_$i_2)
% 3.04/0.75 & ~open_covering(fmb_$i_2,fmb_$i_2,empty_set)
% 3.04/0.75 & ~open_covering(fmb_$i_2,fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_compact_space,type,compact_space: $i * $i > $o ).
% 3.04/0.75 tff(predicate_compact_space,axiom,
% 3.04/0.75 compact_space(empty_set,empty_set)
% 3.04/0.75 & ~compact_space(empty_set,fmb_$i_2)
% 3.04/0.75 & ~compact_space(fmb_$i_2,empty_set)
% 3.04/0.75 & ~compact_space(fmb_$i_2,fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_finite,type,finite: $i > $o ).
% 3.04/0.75 tff(predicate_finite,axiom,
% 3.04/0.75 ~finite(empty_set)
% 3.04/0.75 & ~finite(fmb_$i_2)
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 tff(declare_compact_set,type,compact_set: $i * $i * $i > $o ).
% 3.04/0.75 tff(predicate_compact_set,axiom,
% 3.04/0.75 ~compact_set(empty_set,empty_set,empty_set)
% 3.04/0.75 % compact_set(empty_set,empty_set,fmb_$i_2) undefined in model
% 3.04/0.75 % compact_set(empty_set,fmb_$i_2,empty_set) undefined in model
% 3.04/0.75 % compact_set(empty_set,fmb_$i_2,fmb_$i_2) undefined in model
% 3.04/0.75 % compact_set(fmb_$i_2,empty_set,empty_set) undefined in model
% 3.04/0.75 % compact_set(fmb_$i_2,empty_set,fmb_$i_2) undefined in model
% 3.04/0.75 % compact_set(fmb_$i_2,fmb_$i_2,empty_set) undefined in model
% 3.04/0.75 % compact_set(fmb_$i_2,fmb_$i_2,fmb_$i_2) undefined in model
% 3.04/0.75
% 3.04/0.75 ).
% 3.04/0.75
% 3.04/0.75 % SZS output end FiniteModel for theBenchmark
% 3.04/0.75 % (7270)------------------------------
% 3.04/0.75 % (7270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.75 % (7270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.75 % (7270)Termination reason: Satisfiable
% 3.04/0.75
% 3.04/0.75 % (7270)Memory used [KB]: 7675
% 3.04/0.75 % (7270)Time elapsed: 0.308 s
% 3.04/0.75 % (7270)Instructions burned: 67 (million)
% 3.04/0.75 % (7270)------------------------------
% 3.04/0.75 % (7270)------------------------------
% 3.04/0.75 % (7269)Success in time 0.432 s
%------------------------------------------------------------------------------