TSTP Solution File: TOP007-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : TOP007-1 : 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 : n026.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 19:53:21 EDT 2022
% Result : Satisfiable 3.16s 0.91s
% Output : FiniteModel 3.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 14:48:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (4778)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)
% 0.19/0.50 % (4786)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)
% 0.19/0.50 % (4789)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)
% 0.19/0.51 % (4781)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)
% 0.19/0.51 % (4779)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (4773)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)
% 0.19/0.51 % (4794)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (4771)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (4772)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)
% 0.19/0.53 % (4769)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)
% 0.19/0.53 % (4770)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)
% 0.19/0.53 % (4776)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)
% 0.19/0.53 % (4767)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)
% 0.19/0.53 % (4780)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (4777)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (4783)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)
% 0.19/0.54 % (4795)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (4775)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (4775)Instruction limit reached!
% 0.19/0.54 % (4775)------------------------------
% 0.19/0.54 % (4775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4775)Termination reason: Unknown
% 0.19/0.54 % (4775)Termination phase: Blocked clause elimination
% 0.19/0.54
% 0.19/0.54 % (4775)Memory used [KB]: 1023
% 0.19/0.54 % (4775)Time elapsed: 0.002 s
% 0.19/0.54 % (4775)Instructions burned: 2 (million)
% 0.19/0.54 % (4775)------------------------------
% 0.19/0.54 % (4775)------------------------------
% 0.19/0.54 % (4792)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (4796)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)
% 0.19/0.55 % (4793)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)
% 0.19/0.55 % (4768)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)
% 0.19/0.55 % (4787)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)
% 0.19/0.55 % (4768)Refutation not found, incomplete strategy% (4768)------------------------------
% 0.19/0.55 % (4768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (4768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (4768)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (4768)Memory used [KB]: 5628
% 0.19/0.55 % (4768)Time elapsed: 0.139 s
% 0.19/0.55 % (4768)Instructions burned: 5 (million)
% 0.19/0.55 % (4768)------------------------------
% 0.19/0.55 % (4768)------------------------------
% 0.19/0.55 % (4791)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (4784)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 % (4788)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55 % (4785)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.55/0.56 % (4774)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.55/0.57 % (4773)Instruction limit reached!
% 1.55/0.57 % (4773)------------------------------
% 1.55/0.57 % (4773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.57 % (4773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.57 % (4773)Termination reason: Unknown
% 1.55/0.57 % (4773)Termination phase: Finite model building constraint generation
% 1.55/0.57
% 1.55/0.57 % (4773)Memory used [KB]: 7675
% 1.55/0.57 % (4773)Time elapsed: 0.108 s
% 1.55/0.57 % (4773)Instructions burned: 51 (million)
% 1.55/0.57 % (4773)------------------------------
% 1.55/0.57 % (4773)------------------------------
% 1.55/0.57 % (4790)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)
% 1.55/0.58 TRYING [1]
% 1.55/0.58 TRYING [2]
% 1.78/0.58 % (4782)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)
% 1.78/0.59 % (4774)Instruction limit reached!
% 1.78/0.59 % (4774)------------------------------
% 1.78/0.59 % (4774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59 % (4774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59 % (4774)Termination reason: Unknown
% 1.78/0.59 % (4774)Termination phase: Saturation
% 1.78/0.59
% 1.78/0.59 % (4774)Memory used [KB]: 5628
% 1.78/0.59 % (4774)Time elapsed: 0.167 s
% 1.78/0.59 % (4774)Instructions burned: 7 (million)
% 1.78/0.59 % (4774)------------------------------
% 1.78/0.59 % (4774)------------------------------
% 1.78/0.60 TRYING [1]
% 1.78/0.60 TRYING [2]
% 1.78/0.60 % (4781)Instruction limit reached!
% 1.78/0.60 % (4781)------------------------------
% 1.78/0.60 % (4781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.60 % (4781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.60 % (4781)Termination reason: Unknown
% 1.78/0.60 % (4781)Termination phase: Saturation
% 1.78/0.60
% 1.78/0.60 % (4781)Memory used [KB]: 7036
% 1.78/0.60 % (4781)Time elapsed: 0.071 s
% 1.78/0.60 % (4781)Instructions burned: 68 (million)
% 1.78/0.60 % (4781)------------------------------
% 1.78/0.60 % (4781)------------------------------
% 1.78/0.61 % (4769)Instruction limit reached!
% 1.78/0.61 % (4769)------------------------------
% 1.78/0.61 % (4769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61 % (4769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61 % (4769)Termination reason: Unknown
% 1.78/0.61 % (4769)Termination phase: Saturation
% 1.78/0.61
% 1.78/0.61 % (4769)Memory used [KB]: 1663
% 1.78/0.61 % (4769)Time elapsed: 0.192 s
% 1.78/0.61 % (4769)Instructions burned: 37 (million)
% 1.78/0.61 % (4769)------------------------------
% 1.78/0.61 % (4769)------------------------------
% 1.78/0.61 % (4771)Instruction limit reached!
% 1.78/0.61 % (4771)------------------------------
% 1.78/0.61 % (4771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61 % (4771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61 % (4771)Termination reason: Unknown
% 1.78/0.61 % (4771)Termination phase: Saturation
% 1.78/0.61
% 1.78/0.61 % (4771)Memory used [KB]: 6396
% 1.78/0.61 % (4771)Time elapsed: 0.211 s
% 1.78/0.61 % (4771)Instructions burned: 53 (million)
% 1.78/0.61 % (4771)------------------------------
% 1.78/0.61 % (4771)------------------------------
% 1.78/0.62 % (4776)Instruction limit reached!
% 1.78/0.62 % (4776)------------------------------
% 1.78/0.62 % (4776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.62 % (4776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.62 % (4776)Termination reason: Unknown
% 1.78/0.62 % (4776)Termination phase: Saturation
% 1.78/0.62
% 1.78/0.62 % (4776)Memory used [KB]: 1791
% 1.78/0.62 % (4776)Time elapsed: 0.206 s
% 1.78/0.62 % (4776)Instructions burned: 51 (million)
% 1.78/0.62 % (4776)------------------------------
% 1.78/0.62 % (4776)------------------------------
% 1.78/0.62 % (4777)Instruction limit reached!
% 1.78/0.62 % (4777)------------------------------
% 1.78/0.62 % (4777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.62 % (4777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.62 % (4777)Termination reason: Unknown
% 1.78/0.62 % (4777)Termination phase: Saturation
% 1.78/0.62
% 1.78/0.62 % (4777)Memory used [KB]: 6524
% 1.78/0.62 % (4777)Time elapsed: 0.216 s
% 1.78/0.62 % (4777)Instructions burned: 51 (million)
% 1.78/0.62 % (4777)------------------------------
% 1.78/0.62 % (4777)------------------------------
% 1.78/0.63 % (4784)Instruction limit reached!
% 1.78/0.63 % (4784)------------------------------
% 1.78/0.63 % (4784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.63 % (4784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.63 % (4784)Termination reason: Unknown
% 1.78/0.63 % (4784)Termination phase: Finite model building SAT solving
% 1.78/0.63
% 1.78/0.63 % (4784)Memory used [KB]: 7419
% 1.78/0.63 % (4784)Time elapsed: 0.190 s
% 1.78/0.63 % (4784)Instructions burned: 59 (million)
% 1.78/0.63 % (4784)------------------------------
% 1.78/0.63 % (4784)------------------------------
% 1.78/0.63 TRYING [3]
% 1.78/0.64 % (4772)Instruction limit reached!
% 1.78/0.64 % (4772)------------------------------
% 1.78/0.64 % (4772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.64 % (4772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.64 % (4772)Termination reason: Unknown
% 1.78/0.64 % (4772)Termination phase: Saturation
% 1.78/0.64
% 1.78/0.64 % (4772)Memory used [KB]: 6140
% 1.78/0.64 % (4772)Time elapsed: 0.233 s
% 1.78/0.64 % (4772)Instructions burned: 48 (million)
% 1.78/0.64 % (4772)------------------------------
% 1.78/0.64 % (4772)------------------------------
% 2.20/0.64 % (4770)Instruction limit reached!
% 2.20/0.64 % (4770)------------------------------
% 2.20/0.64 % (4770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.64 % (4770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.64 % (4770)Termination reason: Unknown
% 2.20/0.64 % (4770)Termination phase: Saturation
% 2.20/0.64
% 2.20/0.64 % (4770)Memory used [KB]: 6268
% 2.20/0.64 % (4770)Time elapsed: 0.234 s
% 2.20/0.64 % (4770)Instructions burned: 51 (million)
% 2.20/0.64 % (4770)------------------------------
% 2.20/0.64 % (4770)------------------------------
% 2.31/0.67 % (4793)Instruction limit reached!
% 2.31/0.67 % (4793)------------------------------
% 2.31/0.67 % (4793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67 % (4793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.67 % (4793)Termination reason: Unknown
% 2.31/0.67 % (4793)Termination phase: Saturation
% 2.31/0.67
% 2.31/0.67 % (4793)Memory used [KB]: 7036
% 2.31/0.67 % (4793)Time elapsed: 0.038 s
% 2.31/0.67 % (4793)Instructions burned: 70 (million)
% 2.31/0.67 % (4793)------------------------------
% 2.31/0.67 % (4793)------------------------------
% 2.31/0.67 % (4797)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)
% 2.31/0.68 % (4799)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)
% 2.31/0.68 % (4786)Instruction limit reached!
% 2.31/0.68 % (4786)------------------------------
% 2.31/0.68 % (4786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.69 % (4798)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.31/0.69 % (4778)Instruction limit reached!
% 2.31/0.69 % (4778)------------------------------
% 2.31/0.69 % (4778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.70 % (4778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.70 % (4778)Termination reason: Unknown
% 2.31/0.70 % (4778)Termination phase: Saturation
% 2.31/0.70
% 2.31/0.70 % (4778)Memory used [KB]: 6780
% 2.31/0.70 % (4778)Time elapsed: 0.275 s
% 2.31/0.70 % (4778)Instructions burned: 100 (million)
% 2.31/0.70 % (4778)------------------------------
% 2.31/0.70 % (4778)------------------------------
% 2.31/0.70 % (4786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.70 % (4786)Termination reason: Unknown
% 2.31/0.70 % (4786)Termination phase: Saturation
% 2.31/0.70
% 2.31/0.70 % (4786)Memory used [KB]: 2302
% 2.31/0.70 % (4786)Time elapsed: 0.264 s
% 2.31/0.70 % (4786)Instructions burned: 100 (million)
% 2.31/0.70 % (4786)------------------------------
% 2.31/0.70 % (4786)------------------------------
% 2.31/0.71 % (4779)Instruction limit reached!
% 2.31/0.71 % (4779)------------------------------
% 2.31/0.71 % (4779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.71 % (4779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.71 % (4779)Termination reason: Unknown
% 2.31/0.71 % (4779)Termination phase: Saturation
% 2.31/0.71
% 2.31/0.71 % (4779)Memory used [KB]: 6524
% 2.31/0.71 % (4779)Time elapsed: 0.300 s
% 2.31/0.71 % (4779)Instructions burned: 101 (million)
% 2.31/0.71 % (4779)------------------------------
% 2.31/0.71 % (4779)------------------------------
% 2.58/0.72 % (4782)Instruction limit reached!
% 2.58/0.72 % (4782)------------------------------
% 2.58/0.72 % (4782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72 % (4782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72 % (4782)Termination reason: Unknown
% 2.58/0.72 % (4782)Termination phase: Saturation
% 2.58/0.72
% 2.58/0.72 % (4782)Memory used [KB]: 1918
% 2.58/0.72 % (4782)Time elapsed: 0.315 s
% 2.58/0.72 % (4782)Instructions burned: 76 (million)
% 2.58/0.72 % (4782)------------------------------
% 2.58/0.72 % (4782)------------------------------
% 2.58/0.72 % (4780)Instruction limit reached!
% 2.58/0.72 % (4780)------------------------------
% 2.58/0.72 % (4780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72 % (4780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72 % (4780)Termination reason: Unknown
% 2.58/0.72 % (4780)Termination phase: Saturation
% 2.58/0.72
% 2.58/0.72 % (4780)Memory used [KB]: 6780
% 2.58/0.72 % (4780)Time elapsed: 0.321 s
% 2.58/0.72 % (4780)Instructions burned: 99 (million)
% 2.58/0.72 % (4780)------------------------------
% 2.58/0.72 % (4780)------------------------------
% 2.58/0.73 % (4800)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.58/0.73 % (4785)Instruction limit reached!
% 2.58/0.73 % (4785)------------------------------
% 2.58/0.73 % (4785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.73 % (4785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.73 % (4785)Termination reason: Unknown
% 2.58/0.73 % (4785)Termination phase: Saturation
% 2.58/0.73
% 2.58/0.73 % (4785)Memory used [KB]: 6908
% 2.58/0.73 % (4785)Time elapsed: 0.328 s
% 2.58/0.73 % (4785)Instructions burned: 101 (million)
% 2.58/0.73 % (4785)------------------------------
% 2.58/0.73 % (4785)------------------------------
% 2.58/0.73 % (4801)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.58/0.73 % (4783)Instruction limit reached!
% 2.58/0.73 % (4783)------------------------------
% 2.58/0.73 % (4783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.73 % (4783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.73 % (4783)Termination reason: Unknown
% 2.58/0.73 % (4783)Termination phase: Saturation
% 2.58/0.73
% 2.58/0.73 % (4783)Memory used [KB]: 6780
% 2.58/0.73 % (4783)Time elapsed: 0.329 s
% 2.58/0.73 % (4783)Instructions burned: 100 (million)
% 2.58/0.73 % (4783)------------------------------
% 2.58/0.73 % (4783)------------------------------
% 2.58/0.75 % (4803)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)
% 2.76/0.76 % (4804)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 (2997ds/68Mi)
% 2.76/0.76 % (4802)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.76/0.77 % (4807)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)
% 2.76/0.77 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.76/0.77 % (4806)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.76/0.77 % (4808)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.76/0.77 % (4805)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.76/0.80 % (4794)Instruction limit reached!
% 2.76/0.80 % (4794)------------------------------
% 2.76/0.80 % (4794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.80 % (4794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.80 % (4794)Termination reason: Unknown
% 2.76/0.80 % (4794)Termination phase: Saturation
% 2.76/0.80
% 2.76/0.80 % (4794)Memory used [KB]: 3326
% 2.76/0.80 % (4794)Time elapsed: 0.379 s
% 2.76/0.80 % (4794)Instructions burned: 177 (million)
% 2.76/0.80 % (4794)------------------------------
% 2.76/0.80 % (4794)------------------------------
% 2.76/0.81 % (4811)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.76/0.81 % (4809)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.76/0.82 % (4788)Instruction limit reached!
% 2.76/0.82 % (4788)------------------------------
% 2.76/0.82 % (4788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.82 % (4788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.82 % (4788)Termination reason: Unknown
% 2.76/0.82 % (4788)Termination phase: Saturation
% 2.76/0.82
% 2.76/0.82 % (4788)Memory used [KB]: 7164
% 2.76/0.82 % (4788)Time elapsed: 0.391 s
% 2.76/0.82 % (4788)Instructions burned: 138 (million)
% 2.76/0.82 % (4788)------------------------------
% 2.76/0.82 % (4788)------------------------------
% 2.76/0.84 % (4810)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.02/0.84 % (4799)Instruction limit reached!
% 3.02/0.84 % (4799)------------------------------
% 3.02/0.84 % (4799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.84 % (4799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.84 % (4799)Termination reason: Unknown
% 3.02/0.84 % (4799)Termination phase: Saturation
% 3.02/0.84
% 3.02/0.84 % (4799)Memory used [KB]: 6652
% 3.02/0.84 % (4799)Time elapsed: 0.215 s
% 3.02/0.84 % (4799)Instructions burned: 90 (million)
% 3.02/0.84 % (4799)------------------------------
% 3.02/0.84 % (4799)------------------------------
% 3.02/0.85 % (4787)Instruction limit reached!
% 3.02/0.85 % (4787)------------------------------
% 3.02/0.85 % (4787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.85 % (4787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.85 % (4787)Termination reason: Unknown
% 3.02/0.85 % (4787)Termination phase: Saturation
% 3.02/0.85
% 3.02/0.85 % (4787)Memory used [KB]: 7547
% 3.02/0.85 % (4787)Time elapsed: 0.453 s
% 3.02/0.85 % (4787)Instructions burned: 177 (million)
% 3.02/0.85 % (4787)------------------------------
% 3.02/0.85 % (4787)------------------------------
% 3.02/0.86 % (4813)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.02/0.86 % (4812)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.02/0.86 % (4814)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 (2996ds/68Mi)
% 3.02/0.87 % (4816)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.02/0.88 % (4815)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.16/0.89 % (4804)Instruction limit reached!
% 3.16/0.89 % (4804)------------------------------
% 3.16/0.89 % (4804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.89 % (4804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.89 % (4804)Termination reason: Unknown
% 3.16/0.89 % (4804)Termination phase: Saturation
% 3.16/0.89
% 3.16/0.89 % (4804)Memory used [KB]: 6908
% 3.16/0.89 % (4804)Time elapsed: 0.037 s
% 3.16/0.89 % (4804)Instructions burned: 69 (million)
% 3.16/0.89 % (4804)------------------------------
% 3.16/0.89 % (4804)------------------------------
% 3.16/0.91 Finite Model Found!
% 3.16/0.91 % SZS status Satisfiable for theBenchmark
% 3.16/0.92 % (4817)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.16/0.92 % (4807)Instruction limit reached!
% 3.16/0.92 % (4807)------------------------------
% 3.16/0.92 % (4807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.92 % (4807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.92 % (4807)Termination reason: Unknown
% 3.16/0.92 % (4807)Termination phase: Saturation
% 3.16/0.92
% 3.16/0.92 % (4807)Memory used [KB]: 6780
% 3.16/0.92 % (4807)Time elapsed: 0.239 s
% 3.16/0.92 % (4807)Instructions burned: 92 (million)
% 3.16/0.92 % (4807)------------------------------
% 3.16/0.92 % (4807)------------------------------
% 3.16/0.94 % (4767)First to succeed.
% 3.40/0.94 % SZS output start FiniteModel for theBenchmark
% 3.40/0.94 tff(declare_$i,type,$i:$tType).
% 3.40/0.94 tff(declare_$i1,type,empty_set:$i).
% 3.40/0.94 tff(declare_$i2,type,cx:$i).
% 3.40/0.94 tff(declare_$i3,type,a:$i).
% 3.40/0.94 tff(finite_domain,axiom,
% 3.40/0.94 ! [X:$i] : (
% 3.40/0.94 X = empty_set | X = cx | X = a
% 3.40/0.94 ) ).
% 3.40/0.94
% 3.40/0.94 tff(distinct_domain,axiom,
% 3.40/0.94 empty_set != cx & empty_set != a & cx != a
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_bool,type,$o:$tType).
% 3.40/0.94 tff(declare_bool1,type,fmb_bool_1:$o).
% 3.40/0.94 tff(finite_domain,axiom,
% 3.40/0.94 ! [X:$o] : (
% 3.40/0.94 X = fmb_bool_1
% 3.40/0.94 ) ).
% 3.40/0.94
% 3.40/0.94 tff(declare_ct,type,ct:$i).
% 3.40/0.94 tff(ct_definition,axiom,ct = empty_set).
% 3.40/0.94 tff(declare_union_of_members,type,union_of_members: $i > $i).
% 3.40/0.94 tff(function_union_of_members,axiom,
% 3.40/0.94 union_of_members(empty_set) = empty_set
% 3.40/0.94 & union_of_members(cx) = a
% 3.40/0.94 & union_of_members(a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f1,type,f1: $i * $i > $i).
% 3.40/0.94 tff(function_f1,axiom,
% 3.40/0.94 f1(empty_set,empty_set) = empty_set
% 3.40/0.94 & f1(empty_set,cx) = empty_set
% 3.40/0.94 & f1(empty_set,a) = empty_set
% 3.40/0.94 & f1(cx,empty_set) = cx
% 3.40/0.94 & f1(cx,cx) = a
% 3.40/0.94 & f1(cx,a) = a
% 3.40/0.94 & f1(a,empty_set) = cx
% 3.40/0.94 & f1(a,cx) = cx
% 3.40/0.94 & f1(a,a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_intersection_of_members,type,intersection_of_members: $i > $i).
% 3.40/0.94 tff(function_intersection_of_members,axiom,
% 3.40/0.94 intersection_of_members(empty_set) = a
% 3.40/0.94 & intersection_of_members(cx) = a
% 3.40/0.94 & intersection_of_members(a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f2,type,f2: $i * $i > $i).
% 3.40/0.94 tff(function_f2,axiom,
% 3.40/0.94 f2(empty_set,empty_set) = cx
% 3.40/0.94 & f2(empty_set,cx) = cx
% 3.40/0.94 & f2(empty_set,a) = cx
% 3.40/0.94 & f2(cx,empty_set) = a
% 3.40/0.94 & f2(cx,cx) = a
% 3.40/0.94 & f2(cx,a) = a
% 3.40/0.94 & f2(a,empty_set) = a
% 3.40/0.94 & f2(a,cx) = empty_set
% 3.40/0.94 & f2(a,a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_intersection_of_sets,type,intersection_of_sets: $i * $i > $i).
% 3.40/0.94 tff(function_intersection_of_sets,axiom,
% 3.40/0.94 intersection_of_sets(empty_set,empty_set) = empty_set
% 3.40/0.94 & intersection_of_sets(empty_set,cx) = empty_set
% 3.40/0.94 & intersection_of_sets(empty_set,a) = empty_set
% 3.40/0.94 & intersection_of_sets(cx,empty_set) = cx
% 3.40/0.94 & intersection_of_sets(cx,cx) = cx
% 3.40/0.94 & intersection_of_sets(cx,a) = a
% 3.40/0.94 & intersection_of_sets(a,empty_set) = a
% 3.40/0.94 & intersection_of_sets(a,cx) = a
% 3.40/0.94 & intersection_of_sets(a,a) = a
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f3,type,f3: $i * $i > $i).
% 3.40/0.94 tff(function_f3,axiom,
% 3.40/0.94 f3(empty_set,empty_set) = cx
% 3.40/0.94 & f3(empty_set,cx) = cx
% 3.40/0.94 & f3(empty_set,a) = cx
% 3.40/0.94 & f3(cx,empty_set) = empty_set
% 3.40/0.94 & f3(cx,cx) = cx
% 3.40/0.94 & f3(cx,a) = cx
% 3.40/0.94 & f3(a,empty_set) = a
% 3.40/0.94 & f3(a,cx) = cx
% 3.40/0.94 & f3(a,a) = a
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f5,type,f5: $i * $i > $i).
% 3.40/0.94 tff(function_f5,axiom,
% 3.40/0.94 f5(empty_set,empty_set) = empty_set
% 3.40/0.94 & f5(empty_set,cx) = empty_set
% 3.40/0.94 & f5(empty_set,a) = empty_set
% 3.40/0.94 & f5(cx,empty_set) = cx
% 3.40/0.94 & f5(cx,cx) = cx
% 3.40/0.94 & f5(cx,a) = empty_set
% 3.40/0.94 & f5(a,empty_set) = cx
% 3.40/0.94 & f5(a,cx) = a
% 3.40/0.94 & f5(a,a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f4,type,f4: $i * $i > $i).
% 3.40/0.94 tff(function_f4,axiom,
% 3.40/0.94 f4(empty_set,empty_set) = empty_set
% 3.40/0.94 & f4(empty_set,cx) = a
% 3.40/0.94 & f4(empty_set,a) = empty_set
% 3.40/0.94 & f4(cx,empty_set) = cx
% 3.40/0.94 & f4(cx,cx) = cx
% 3.40/0.94 & f4(cx,a) = cx
% 3.40/0.94 & f4(a,empty_set) = cx
% 3.40/0.94 & f4(a,cx) = empty_set
% 3.40/0.94 & f4(a,a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_relative_complement_sets,type,relative_complement_sets: $i * $i > $i).
% 3.40/0.94 tff(function_relative_complement_sets,axiom,
% 3.40/0.94 relative_complement_sets(empty_set,empty_set) = empty_set
% 3.40/0.94 & relative_complement_sets(empty_set,cx) = empty_set
% 3.40/0.94 & relative_complement_sets(empty_set,a) = cx
% 3.40/0.94 & relative_complement_sets(cx,empty_set) = cx
% 3.40/0.94 & relative_complement_sets(cx,cx) = empty_set
% 3.40/0.94 & relative_complement_sets(cx,a) = cx
% 3.40/0.94 & relative_complement_sets(a,empty_set) = empty_set
% 3.40/0.94 & relative_complement_sets(a,cx) = empty_set
% 3.40/0.94 & relative_complement_sets(a,a) = a
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f6,type,f6: $i * $i * $i * $i * $i > $i).
% 3.40/0.94 tff(function_f6,axiom,
% 3.40/0.94 f6(empty_set,empty_set,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f6(empty_set,empty_set,empty_set,empty_set,cx) = a
% 3.40/0.94 & f6(empty_set,empty_set,empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f6(empty_set,empty_set,empty_set,cx,empty_set) = a
% 3.40/0.94 & f6(empty_set,empty_set,empty_set,cx,cx) = a
% 3.40/0.94 & f6(empty_set,empty_set,empty_set,cx,a) = empty_set
% 3.40/0.94 & f6(empty_set,empty_set,empty_set,a,empty_set) = cx
% 3.40/0.94 & f6(empty_set,empty_set,empty_set,a,cx) = cx
% 3.40/0.94 & f6(empty_set,empty_set,empty_set,a,a) = cx
% 3.40/0.94 & f6(empty_set,empty_set,cx,empty_set,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,empty_set,cx,empty_set,cx) = empty_set
% 3.40/0.94 & f6(empty_set,empty_set,cx,empty_set,a) = cx
% 3.40/0.94 & f6(empty_set,empty_set,cx,cx,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,empty_set,cx,cx,cx) = empty_set
% 3.40/0.94 & f6(empty_set,empty_set,cx,cx,a) = a
% 3.40/0.94 & f6(empty_set,empty_set,cx,a,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,empty_set,cx,a,cx) = cx
% 3.40/0.94 & f6(empty_set,empty_set,cx,a,a) = a
% 3.40/0.94 & f6(empty_set,empty_set,a,empty_set,empty_set) = a
% 3.40/0.94 & f6(empty_set,empty_set,a,empty_set,cx) = a
% 3.40/0.94 & f6(empty_set,empty_set,a,empty_set,a) = empty_set
% 3.40/0.94 & f6(empty_set,empty_set,a,cx,empty_set) = a
% 3.40/0.94 & f6(empty_set,empty_set,a,cx,cx) = a
% 3.40/0.94 & f6(empty_set,empty_set,a,cx,a) = empty_set
% 3.40/0.94 & f6(empty_set,empty_set,a,a,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,empty_set,a,a,cx) = empty_set
% 3.40/0.94 & f6(empty_set,empty_set,a,a,a) = cx
% 3.40/0.94 & f6(empty_set,cx,empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,cx,empty_set,empty_set,cx) = empty_set
% 3.40/0.94 & f6(empty_set,cx,empty_set,empty_set,a) = cx
% 3.40/0.94 & f6(empty_set,cx,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,cx,empty_set,cx,cx) = cx
% 3.40/0.94 & f6(empty_set,cx,empty_set,cx,a) = cx
% 3.40/0.94 & f6(empty_set,cx,empty_set,a,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,cx,empty_set,a,cx) = empty_set
% 3.40/0.94 & f6(empty_set,cx,empty_set,a,a) = empty_set
% 3.40/0.94 & f6(empty_set,cx,cx,empty_set,empty_set) = a
% 3.40/0.94 & f6(empty_set,cx,cx,empty_set,cx) = a
% 3.40/0.94 & f6(empty_set,cx,cx,empty_set,a) = empty_set
% 3.40/0.94 & f6(empty_set,cx,cx,cx,empty_set) = a
% 3.40/0.94 & f6(empty_set,cx,cx,cx,cx) = cx
% 3.40/0.94 & f6(empty_set,cx,cx,cx,a) = a
% 3.40/0.94 & f6(empty_set,cx,cx,a,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,cx,cx,a,cx) = empty_set
% 3.40/0.94 & f6(empty_set,cx,cx,a,a) = empty_set
% 3.40/0.94 & f6(empty_set,cx,a,empty_set,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,cx,a,empty_set,cx) = empty_set
% 3.40/0.94 & f6(empty_set,cx,a,empty_set,a) = cx
% 3.40/0.94 & f6(empty_set,cx,a,cx,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,cx,a,cx,cx) = cx
% 3.40/0.94 & f6(empty_set,cx,a,cx,a) = empty_set
% 3.40/0.94 & f6(empty_set,cx,a,a,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,cx,a,a,cx) = cx
% 3.40/0.94 & f6(empty_set,cx,a,a,a) = empty_set
% 3.40/0.94 & f6(empty_set,a,empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,a,empty_set,empty_set,cx) = a
% 3.40/0.94 & f6(empty_set,a,empty_set,empty_set,a) = cx
% 3.40/0.94 & f6(empty_set,a,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,a,empty_set,cx,cx) = a
% 3.40/0.94 & f6(empty_set,a,empty_set,cx,a) = cx
% 3.40/0.94 & f6(empty_set,a,empty_set,a,empty_set) = cx
% 3.40/0.94 & f6(empty_set,a,empty_set,a,cx) = empty_set
% 3.40/0.94 & f6(empty_set,a,empty_set,a,a) = cx
% 3.40/0.94 & f6(empty_set,a,cx,empty_set,empty_set) = a
% 3.40/0.94 & f6(empty_set,a,cx,empty_set,cx) = empty_set
% 3.40/0.94 & f6(empty_set,a,cx,empty_set,a) = cx
% 3.40/0.94 & f6(empty_set,a,cx,cx,empty_set) = a
% 3.40/0.94 & f6(empty_set,a,cx,cx,cx) = empty_set
% 3.40/0.94 & f6(empty_set,a,cx,cx,a) = cx
% 3.40/0.94 & f6(empty_set,a,cx,a,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,a,cx,a,cx) = cx
% 3.40/0.94 & f6(empty_set,a,cx,a,a) = cx
% 3.40/0.94 & f6(empty_set,a,a,empty_set,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,a,a,empty_set,cx) = a
% 3.40/0.94 & f6(empty_set,a,a,empty_set,a) = cx
% 3.40/0.94 & f6(empty_set,a,a,cx,empty_set) = empty_set
% 3.40/0.94 & f6(empty_set,a,a,cx,cx) = a
% 3.40/0.94 & f6(empty_set,a,a,cx,a) = cx
% 3.40/0.94 & f6(empty_set,a,a,a,empty_set) = cx
% 3.40/0.94 & f6(empty_set,a,a,a,cx) = empty_set
% 3.40/0.94 & f6(empty_set,a,a,a,a) = cx
% 3.40/0.94 & f6(cx,empty_set,empty_set,empty_set,empty_set) = cx
% 3.40/0.94 & f6(cx,empty_set,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f6(cx,empty_set,empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f6(cx,empty_set,empty_set,cx,empty_set) = a
% 3.40/0.94 & f6(cx,empty_set,empty_set,cx,cx) = cx
% 3.40/0.94 & f6(cx,empty_set,empty_set,cx,a) = cx
% 3.40/0.94 & f6(cx,empty_set,empty_set,a,empty_set) = cx
% 3.40/0.94 & f6(cx,empty_set,empty_set,a,cx) = empty_set
% 3.40/0.94 & f6(cx,empty_set,empty_set,a,a) = a
% 3.40/0.94 & f6(cx,empty_set,cx,empty_set,empty_set) = a
% 3.40/0.94 & f6(cx,empty_set,cx,empty_set,cx) = a
% 3.40/0.94 & f6(cx,empty_set,cx,empty_set,a) = empty_set
% 3.40/0.94 & f6(cx,empty_set,cx,cx,empty_set) = a
% 3.40/0.94 & f6(cx,empty_set,cx,cx,cx) = cx
% 3.40/0.94 & f6(cx,empty_set,cx,cx,a) = cx
% 3.40/0.94 & f6(cx,empty_set,cx,a,empty_set) = a
% 3.40/0.94 & f6(cx,empty_set,cx,a,cx) = empty_set
% 3.40/0.94 & f6(cx,empty_set,cx,a,a) = empty_set
% 3.40/0.94 & f6(cx,empty_set,a,empty_set,empty_set) = cx
% 3.40/0.94 & f6(cx,empty_set,a,empty_set,cx) = cx
% 3.40/0.94 & f6(cx,empty_set,a,empty_set,a) = cx
% 3.40/0.94 & f6(cx,empty_set,a,cx,empty_set) = a
% 3.40/0.94 & f6(cx,empty_set,a,cx,cx) = cx
% 3.40/0.94 & f6(cx,empty_set,a,cx,a) = empty_set
% 3.40/0.94 & f6(cx,empty_set,a,a,empty_set) = empty_set
% 3.40/0.94 & f6(cx,empty_set,a,a,cx) = cx
% 3.40/0.94 & f6(cx,empty_set,a,a,a) = empty_set
% 3.40/0.94 & f6(cx,cx,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f6(cx,cx,empty_set,empty_set,cx) = a
% 3.40/0.94 & f6(cx,cx,empty_set,empty_set,a) = cx
% 3.40/0.94 & f6(cx,cx,empty_set,cx,empty_set) = cx
% 3.40/0.94 & f6(cx,cx,empty_set,cx,cx) = cx
% 3.40/0.94 & f6(cx,cx,empty_set,cx,a) = cx
% 3.40/0.94 & f6(cx,cx,empty_set,a,empty_set) = empty_set
% 3.40/0.94 & f6(cx,cx,empty_set,a,cx) = cx
% 3.40/0.94 & f6(cx,cx,empty_set,a,a) = cx
% 3.40/0.94 & f6(cx,cx,cx,empty_set,empty_set) = cx
% 3.40/0.94 & f6(cx,cx,cx,empty_set,cx) = cx
% 3.40/0.94 & f6(cx,cx,cx,empty_set,a) = cx
% 3.40/0.94 & f6(cx,cx,cx,cx,empty_set) = a
% 3.40/0.94 & f6(cx,cx,cx,cx,cx) = cx
% 3.40/0.94 & f6(cx,cx,cx,cx,a) = cx
% 3.40/0.94 & f6(cx,cx,cx,a,empty_set) = cx
% 3.40/0.94 & f6(cx,cx,cx,a,cx) = empty_set
% 3.40/0.94 & f6(cx,cx,cx,a,a) = cx
% 3.40/0.94 & f6(cx,cx,a,empty_set,empty_set) = cx
% 3.40/0.94 & f6(cx,cx,a,empty_set,cx) = a
% 3.40/0.94 & f6(cx,cx,a,empty_set,a) = cx
% 3.40/0.94 & f6(cx,cx,a,cx,empty_set) = cx
% 3.40/0.94 & f6(cx,cx,a,cx,cx) = cx
% 3.40/0.94 & f6(cx,cx,a,cx,a) = empty_set
% 3.40/0.94 & f6(cx,cx,a,a,empty_set) = empty_set
% 3.40/0.94 & f6(cx,cx,a,a,cx) = cx
% 3.40/0.94 & f6(cx,cx,a,a,a) = empty_set
% 3.40/0.94 & f6(cx,a,empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f6(cx,a,empty_set,empty_set,cx) = a
% 3.40/0.94 & f6(cx,a,empty_set,empty_set,a) = cx
% 3.40/0.94 & f6(cx,a,empty_set,cx,empty_set) = a
% 3.40/0.94 & f6(cx,a,empty_set,cx,cx) = cx
% 3.40/0.94 & f6(cx,a,empty_set,cx,a) = cx
% 3.40/0.94 & f6(cx,a,empty_set,a,empty_set) = cx
% 3.40/0.94 & f6(cx,a,empty_set,a,cx) = cx
% 3.40/0.94 & f6(cx,a,empty_set,a,a) = cx
% 3.40/0.94 & f6(cx,a,cx,empty_set,empty_set) = empty_set
% 3.40/0.94 & f6(cx,a,cx,empty_set,cx) = a
% 3.40/0.94 & f6(cx,a,cx,empty_set,a) = a
% 3.40/0.94 & f6(cx,a,cx,cx,empty_set) = cx
% 3.40/0.94 & f6(cx,a,cx,cx,cx) = cx
% 3.40/0.94 & f6(cx,a,cx,cx,a) = cx
% 3.40/0.94 & f6(cx,a,cx,a,empty_set) = empty_set
% 3.40/0.94 & f6(cx,a,cx,a,cx) = cx
% 3.40/0.94 & f6(cx,a,cx,a,a) = empty_set
% 3.40/0.94 & f6(cx,a,a,empty_set,empty_set) = a
% 3.40/0.94 & f6(cx,a,a,empty_set,cx) = cx
% 3.40/0.94 & f6(cx,a,a,empty_set,a) = a
% 3.40/0.94 & f6(cx,a,a,cx,empty_set) = cx
% 3.40/0.94 & f6(cx,a,a,cx,cx) = cx
% 3.40/0.94 & f6(cx,a,a,cx,a) = empty_set
% 3.40/0.94 & f6(cx,a,a,a,empty_set) = cx
% 3.40/0.94 & f6(cx,a,a,a,cx) = empty_set
% 3.40/0.94 & f6(cx,a,a,a,a) = cx
% 3.40/0.94 & f6(a,empty_set,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f6(a,empty_set,empty_set,empty_set,cx) = empty_set
% 3.40/0.94 & f6(a,empty_set,empty_set,empty_set,a) = cx
% 3.40/0.94 & f6(a,empty_set,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f6(a,empty_set,empty_set,cx,cx) = a
% 3.40/0.94 & f6(a,empty_set,empty_set,cx,a) = a
% 3.40/0.94 & f6(a,empty_set,empty_set,a,empty_set) = cx
% 3.40/0.94 & f6(a,empty_set,empty_set,a,cx) = a
% 3.40/0.94 & f6(a,empty_set,empty_set,a,a) = cx
% 3.40/0.94 & f6(a,empty_set,cx,empty_set,empty_set) = a
% 3.40/0.94 & f6(a,empty_set,cx,empty_set,cx) = cx
% 3.40/0.94 & f6(a,empty_set,cx,empty_set,a) = cx
% 3.40/0.94 & f6(a,empty_set,cx,cx,empty_set) = empty_set
% 3.40/0.94 & f6(a,empty_set,cx,cx,cx) = empty_set
% 3.40/0.94 & f6(a,empty_set,cx,cx,a) = empty_set
% 3.40/0.94 & f6(a,empty_set,cx,a,empty_set) = cx
% 3.40/0.94 & f6(a,empty_set,cx,a,cx) = a
% 3.40/0.94 & f6(a,empty_set,cx,a,a) = cx
% 3.40/0.94 & f6(a,empty_set,a,empty_set,empty_set) = cx
% 3.40/0.94 & f6(a,empty_set,a,empty_set,cx) = empty_set
% 3.40/0.94 & f6(a,empty_set,a,empty_set,a) = a
% 3.40/0.94 & f6(a,empty_set,a,cx,empty_set) = cx
% 3.40/0.94 & f6(a,empty_set,a,cx,cx) = empty_set
% 3.40/0.94 & f6(a,empty_set,a,cx,a) = a
% 3.40/0.94 & f6(a,empty_set,a,a,empty_set) = a
% 3.40/0.94 & f6(a,empty_set,a,a,cx) = empty_set
% 3.40/0.94 & f6(a,empty_set,a,a,a) = cx
% 3.40/0.94 & f6(a,cx,empty_set,empty_set,empty_set) = cx
% 3.40/0.94 & f6(a,cx,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f6(a,cx,empty_set,empty_set,a) = cx
% 3.40/0.94 & f6(a,cx,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f6(a,cx,empty_set,cx,cx) = cx
% 3.40/0.94 & f6(a,cx,empty_set,cx,a) = empty_set
% 3.40/0.94 & f6(a,cx,empty_set,a,empty_set) = a
% 3.40/0.94 & f6(a,cx,empty_set,a,cx) = empty_set
% 3.40/0.94 & f6(a,cx,empty_set,a,a) = a
% 3.40/0.94 & f6(a,cx,cx,empty_set,empty_set) = empty_set
% 3.40/0.94 & f6(a,cx,cx,empty_set,cx) = cx
% 3.40/0.94 & f6(a,cx,cx,empty_set,a) = cx
% 3.40/0.94 & f6(a,cx,cx,cx,empty_set) = cx
% 3.40/0.94 & f6(a,cx,cx,cx,cx) = cx
% 3.40/0.94 & f6(a,cx,cx,cx,a) = empty_set
% 3.40/0.94 & f6(a,cx,cx,a,empty_set) = a
% 3.40/0.94 & f6(a,cx,cx,a,cx) = a
% 3.40/0.94 & f6(a,cx,cx,a,a) = a
% 3.40/0.94 & f6(a,cx,a,empty_set,empty_set) = a
% 3.40/0.94 & f6(a,cx,a,empty_set,cx) = cx
% 3.40/0.94 & f6(a,cx,a,empty_set,a) = cx
% 3.40/0.94 & f6(a,cx,a,cx,empty_set) = cx
% 3.40/0.94 & f6(a,cx,a,cx,cx) = cx
% 3.40/0.94 & f6(a,cx,a,cx,a) = a
% 3.40/0.94 & f6(a,cx,a,a,empty_set) = cx
% 3.40/0.94 & f6(a,cx,a,a,cx) = empty_set
% 3.40/0.94 & f6(a,cx,a,a,a) = a
% 3.40/0.94 & f6(a,a,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f6(a,a,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f6(a,a,empty_set,empty_set,a) = a
% 3.40/0.94 & f6(a,a,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f6(a,a,empty_set,cx,cx) = cx
% 3.40/0.94 & f6(a,a,empty_set,cx,a) = empty_set
% 3.40/0.94 & f6(a,a,empty_set,a,empty_set) = cx
% 3.40/0.94 & f6(a,a,empty_set,a,cx) = a
% 3.40/0.94 & f6(a,a,empty_set,a,a) = empty_set
% 3.40/0.94 & f6(a,a,cx,empty_set,empty_set) = cx
% 3.40/0.94 & f6(a,a,cx,empty_set,cx) = empty_set
% 3.40/0.94 & f6(a,a,cx,empty_set,a) = a
% 3.40/0.94 & f6(a,a,cx,cx,empty_set) = a
% 3.40/0.94 & f6(a,a,cx,cx,cx) = empty_set
% 3.40/0.94 & f6(a,a,cx,cx,a) = a
% 3.40/0.94 & f6(a,a,cx,a,empty_set) = a
% 3.40/0.94 & f6(a,a,cx,a,cx) = a
% 3.40/0.94 & f6(a,a,cx,a,a) = a
% 3.40/0.94 & f6(a,a,a,empty_set,empty_set) = a
% 3.40/0.94 & f6(a,a,a,empty_set,cx) = cx
% 3.40/0.94 & f6(a,a,a,empty_set,a) = cx
% 3.40/0.94 & f6(a,a,a,cx,empty_set) = cx
% 3.40/0.94 & f6(a,a,a,cx,cx) = a
% 3.40/0.94 & f6(a,a,a,cx,a) = empty_set
% 3.40/0.94 & f6(a,a,a,a,empty_set) = cx
% 3.40/0.94 & f6(a,a,a,a,cx) = a
% 3.40/0.94 & f6(a,a,a,a,a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f7,type,f7: $i * $i > $i).
% 3.40/0.94 tff(function_f7,axiom,
% 3.40/0.94 f7(empty_set,empty_set) = empty_set
% 3.40/0.94 & f7(empty_set,cx) = empty_set
% 3.40/0.94 & f7(empty_set,a) = empty_set
% 3.40/0.94 & f7(cx,empty_set) = empty_set
% 3.40/0.94 & f7(cx,cx) = a
% 3.40/0.94 & f7(cx,a) = empty_set
% 3.40/0.94 & f7(a,empty_set) = a
% 3.40/0.94 & f7(a,cx) = cx
% 3.40/0.94 & f7(a,a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f8,type,f8: $i * $i > $i).
% 3.40/0.94 tff(function_f8,axiom,
% 3.40/0.94 f8(empty_set,empty_set) = empty_set
% 3.40/0.94 & f8(empty_set,cx) = empty_set
% 3.40/0.94 & f8(empty_set,a) = a
% 3.40/0.94 & f8(cx,empty_set) = cx
% 3.40/0.94 & f8(cx,cx) = cx
% 3.40/0.94 & f8(cx,a) = a
% 3.40/0.94 & f8(a,empty_set) = empty_set
% 3.40/0.94 & f8(a,cx) = a
% 3.40/0.94 & f8(a,a) = a
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f9,type,f9: $i * $i > $i).
% 3.40/0.94 tff(function_f9,axiom,
% 3.40/0.94 f9(empty_set,empty_set) = cx
% 3.40/0.94 & f9(empty_set,cx) = empty_set
% 3.40/0.94 & f9(empty_set,a) = cx
% 3.40/0.94 & f9(cx,empty_set) = empty_set
% 3.40/0.94 & f9(cx,cx) = cx
% 3.40/0.94 & f9(cx,a) = cx
% 3.40/0.94 & f9(a,empty_set) = cx
% 3.40/0.94 & f9(a,cx) = empty_set
% 3.40/0.94 & f9(a,a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_top_of_basis,type,top_of_basis: $i > $i).
% 3.40/0.94 tff(function_top_of_basis,axiom,
% 3.40/0.94 top_of_basis(empty_set) = cx
% 3.40/0.94 & top_of_basis(cx) = cx
% 3.40/0.94 & top_of_basis(a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f10,type,f10: $i * $i * $i > $i).
% 3.40/0.94 tff(function_f10,axiom,
% 3.40/0.94 f10(empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f10(empty_set,empty_set,cx) = empty_set
% 3.40/0.94 & f10(empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f10(empty_set,cx,empty_set) = a
% 3.40/0.94 & f10(empty_set,cx,cx) = a
% 3.40/0.94 & f10(empty_set,cx,a) = a
% 3.40/0.94 & f10(empty_set,a,empty_set) = a
% 3.40/0.94 & f10(empty_set,a,cx) = cx
% 3.40/0.94 & f10(empty_set,a,a) = a
% 3.40/0.94 & f10(cx,empty_set,empty_set) = empty_set
% 3.40/0.94 & f10(cx,empty_set,cx) = empty_set
% 3.40/0.94 & f10(cx,empty_set,a) = empty_set
% 3.40/0.94 & f10(cx,cx,empty_set) = empty_set
% 3.40/0.94 & f10(cx,cx,cx) = cx
% 3.40/0.94 & f10(cx,cx,a) = empty_set
% 3.40/0.94 & f10(cx,a,empty_set) = cx
% 3.40/0.94 & f10(cx,a,cx) = cx
% 3.40/0.94 & f10(cx,a,a) = a
% 3.40/0.94 & f10(a,empty_set,empty_set) = empty_set
% 3.40/0.94 & f10(a,empty_set,cx) = empty_set
% 3.40/0.94 & f10(a,empty_set,a) = empty_set
% 3.40/0.94 & f10(a,cx,empty_set) = empty_set
% 3.40/0.94 & f10(a,cx,cx) = a
% 3.40/0.94 & f10(a,cx,a) = empty_set
% 3.40/0.94 & f10(a,a,empty_set) = a
% 3.40/0.94 & f10(a,a,cx) = empty_set
% 3.40/0.94 & f10(a,a,a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f11,type,f11: $i * $i > $i).
% 3.40/0.94 tff(function_f11,axiom,
% 3.40/0.94 f11(empty_set,empty_set) = cx
% 3.40/0.94 & f11(empty_set,cx) = cx
% 3.40/0.94 & f11(empty_set,a) = empty_set
% 3.40/0.94 & f11(cx,empty_set) = empty_set
% 3.40/0.94 & f11(cx,cx) = empty_set
% 3.40/0.94 & f11(cx,a) = empty_set
% 3.40/0.94 & f11(a,empty_set) = empty_set
% 3.40/0.94 & f11(a,cx) = cx
% 3.40/0.94 & f11(a,a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_subspace_topology,type,subspace_topology: $i * $i * $i > $i).
% 3.40/0.94 tff(function_subspace_topology,axiom,
% 3.40/0.94 subspace_topology(empty_set,empty_set,empty_set) = a
% 3.40/0.94 & subspace_topology(empty_set,empty_set,cx) = a
% 3.40/0.94 & subspace_topology(empty_set,empty_set,a) = a
% 3.40/0.94 & subspace_topology(empty_set,cx,empty_set) = a
% 3.40/0.94 & subspace_topology(empty_set,cx,cx) = a
% 3.40/0.94 & subspace_topology(empty_set,cx,a) = a
% 3.40/0.94 & subspace_topology(empty_set,a,empty_set) = a
% 3.40/0.94 & subspace_topology(empty_set,a,cx) = a
% 3.40/0.94 & subspace_topology(empty_set,a,a) = a
% 3.40/0.94 & subspace_topology(cx,empty_set,empty_set) = a
% 3.40/0.94 & subspace_topology(cx,empty_set,cx) = a
% 3.40/0.94 & subspace_topology(cx,empty_set,a) = a
% 3.40/0.94 & subspace_topology(cx,cx,empty_set) = a
% 3.40/0.94 & subspace_topology(cx,cx,cx) = a
% 3.40/0.94 & subspace_topology(cx,cx,a) = a
% 3.40/0.94 & subspace_topology(cx,a,empty_set) = a
% 3.40/0.94 & subspace_topology(cx,a,cx) = a
% 3.40/0.94 & subspace_topology(cx,a,a) = a
% 3.40/0.94 & subspace_topology(a,empty_set,empty_set) = a
% 3.40/0.94 & subspace_topology(a,empty_set,cx) = a
% 3.40/0.94 & subspace_topology(a,empty_set,a) = a
% 3.40/0.94 & subspace_topology(a,cx,empty_set) = a
% 3.40/0.94 & subspace_topology(a,cx,cx) = a
% 3.40/0.94 & subspace_topology(a,cx,a) = a
% 3.40/0.94 & subspace_topology(a,a,empty_set) = a
% 3.40/0.94 & subspace_topology(a,a,cx) = a
% 3.40/0.94 & subspace_topology(a,a,a) = a
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f12,type,f12: $i * $i * $i * $i > $i).
% 3.40/0.94 tff(function_f12,axiom,
% 3.40/0.94 f12(empty_set,empty_set,empty_set,empty_set) = cx
% 3.40/0.94 & f12(empty_set,empty_set,empty_set,cx) = empty_set
% 3.40/0.94 & f12(empty_set,empty_set,empty_set,a) = a
% 3.40/0.94 & f12(empty_set,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f12(empty_set,empty_set,cx,cx) = cx
% 3.40/0.94 & f12(empty_set,empty_set,cx,a) = empty_set
% 3.40/0.94 & f12(empty_set,empty_set,a,empty_set) = a
% 3.40/0.94 & f12(empty_set,empty_set,a,cx) = empty_set
% 3.40/0.94 & f12(empty_set,empty_set,a,a) = empty_set
% 3.40/0.94 & f12(empty_set,cx,empty_set,empty_set) = a
% 3.40/0.94 & f12(empty_set,cx,empty_set,cx) = a
% 3.40/0.94 & f12(empty_set,cx,empty_set,a) = cx
% 3.40/0.94 & f12(empty_set,cx,cx,empty_set) = cx
% 3.40/0.94 & f12(empty_set,cx,cx,cx) = cx
% 3.40/0.94 & f12(empty_set,cx,cx,a) = cx
% 3.40/0.94 & f12(empty_set,cx,a,empty_set) = cx
% 3.40/0.94 & f12(empty_set,cx,a,cx) = cx
% 3.40/0.94 & f12(empty_set,cx,a,a) = cx
% 3.40/0.94 & f12(empty_set,a,empty_set,empty_set) = a
% 3.40/0.94 & f12(empty_set,a,empty_set,cx) = empty_set
% 3.40/0.94 & f12(empty_set,a,empty_set,a) = a
% 3.40/0.94 & f12(empty_set,a,cx,empty_set) = empty_set
% 3.40/0.94 & f12(empty_set,a,cx,cx) = cx
% 3.40/0.94 & f12(empty_set,a,cx,a) = empty_set
% 3.40/0.94 & f12(empty_set,a,a,empty_set) = a
% 3.40/0.94 & f12(empty_set,a,a,cx) = empty_set
% 3.40/0.94 & f12(empty_set,a,a,a) = cx
% 3.40/0.94 & f12(cx,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f12(cx,empty_set,empty_set,cx) = empty_set
% 3.40/0.94 & f12(cx,empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f12(cx,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f12(cx,empty_set,cx,cx) = a
% 3.40/0.94 & f12(cx,empty_set,cx,a) = cx
% 3.40/0.94 & f12(cx,empty_set,a,empty_set) = empty_set
% 3.40/0.94 & f12(cx,empty_set,a,cx) = cx
% 3.40/0.94 & f12(cx,empty_set,a,a) = empty_set
% 3.40/0.94 & f12(cx,cx,empty_set,empty_set) = cx
% 3.40/0.94 & f12(cx,cx,empty_set,cx) = a
% 3.40/0.94 & f12(cx,cx,empty_set,a) = a
% 3.40/0.94 & f12(cx,cx,cx,empty_set) = a
% 3.40/0.94 & f12(cx,cx,cx,cx) = cx
% 3.40/0.94 & f12(cx,cx,cx,a) = empty_set
% 3.40/0.94 & f12(cx,cx,a,empty_set) = a
% 3.40/0.94 & f12(cx,cx,a,cx) = a
% 3.40/0.94 & f12(cx,cx,a,a) = cx
% 3.40/0.94 & f12(cx,a,empty_set,empty_set) = cx
% 3.40/0.94 & f12(cx,a,empty_set,cx) = empty_set
% 3.40/0.94 & f12(cx,a,empty_set,a) = empty_set
% 3.40/0.94 & f12(cx,a,cx,empty_set) = cx
% 3.40/0.94 & f12(cx,a,cx,cx) = cx
% 3.40/0.94 & f12(cx,a,cx,a) = cx
% 3.40/0.94 & f12(cx,a,a,empty_set) = empty_set
% 3.40/0.94 & f12(cx,a,a,cx) = empty_set
% 3.40/0.94 & f12(cx,a,a,a) = empty_set
% 3.40/0.94 & f12(a,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f12(a,empty_set,empty_set,cx) = empty_set
% 3.40/0.94 & f12(a,empty_set,empty_set,a) = a
% 3.40/0.94 & f12(a,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f12(a,empty_set,cx,cx) = empty_set
% 3.40/0.94 & f12(a,empty_set,cx,a) = empty_set
% 3.40/0.94 & f12(a,empty_set,a,empty_set) = empty_set
% 3.40/0.94 & f12(a,empty_set,a,cx) = empty_set
% 3.40/0.94 & f12(a,empty_set,a,a) = cx
% 3.40/0.94 & f12(a,cx,empty_set,empty_set) = a
% 3.40/0.94 & f12(a,cx,empty_set,cx) = a
% 3.40/0.94 & f12(a,cx,empty_set,a) = cx
% 3.40/0.94 & f12(a,cx,cx,empty_set) = cx
% 3.40/0.94 & f12(a,cx,cx,cx) = cx
% 3.40/0.94 & f12(a,cx,cx,a) = cx
% 3.40/0.94 & f12(a,cx,a,empty_set) = a
% 3.40/0.94 & f12(a,cx,a,cx) = cx
% 3.40/0.94 & f12(a,cx,a,a) = empty_set
% 3.40/0.94 & f12(a,a,empty_set,empty_set) = a
% 3.40/0.94 & f12(a,a,empty_set,cx) = cx
% 3.40/0.94 & f12(a,a,empty_set,a) = cx
% 3.40/0.94 & f12(a,a,cx,empty_set) = empty_set
% 3.40/0.94 & f12(a,a,cx,cx) = empty_set
% 3.40/0.94 & f12(a,a,cx,a) = empty_set
% 3.40/0.94 & f12(a,a,a,empty_set) = empty_set
% 3.40/0.94 & f12(a,a,a,cx) = cx
% 3.40/0.94 & f12(a,a,a,a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_interior,type,interior: $i * $i * $i > $i).
% 3.40/0.94 tff(function_interior,axiom,
% 3.40/0.94 interior(empty_set,empty_set,empty_set) = a
% 3.40/0.94 & interior(empty_set,empty_set,cx) = a
% 3.40/0.94 & interior(empty_set,empty_set,a) = a
% 3.40/0.94 & interior(empty_set,cx,empty_set) = a
% 3.40/0.94 & interior(empty_set,cx,cx) = a
% 3.40/0.94 & interior(empty_set,cx,a) = a
% 3.40/0.94 & interior(empty_set,a,empty_set) = a
% 3.40/0.94 & interior(empty_set,a,cx) = a
% 3.40/0.94 & interior(empty_set,a,a) = a
% 3.40/0.94 & interior(cx,empty_set,empty_set) = a
% 3.40/0.94 & interior(cx,empty_set,cx) = a
% 3.40/0.94 & interior(cx,empty_set,a) = a
% 3.40/0.94 & interior(cx,cx,empty_set) = a
% 3.40/0.94 & interior(cx,cx,cx) = a
% 3.40/0.94 & interior(cx,cx,a) = a
% 3.40/0.94 & interior(cx,a,empty_set) = a
% 3.40/0.94 & interior(cx,a,cx) = a
% 3.40/0.94 & interior(cx,a,a) = a
% 3.40/0.94 & interior(a,empty_set,empty_set) = a
% 3.40/0.94 & interior(a,empty_set,cx) = a
% 3.40/0.94 & interior(a,empty_set,a) = a
% 3.40/0.94 & interior(a,cx,empty_set) = cx
% 3.40/0.94 & interior(a,cx,cx) = a
% 3.40/0.94 & interior(a,cx,a) = a
% 3.40/0.94 & interior(a,a,empty_set) = a
% 3.40/0.94 & interior(a,a,cx) = a
% 3.40/0.94 & interior(a,a,a) = a
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f13,type,f13: $i * $i * $i * $i > $i).
% 3.40/0.94 tff(function_f13,axiom,
% 3.40/0.94 f13(empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f13(empty_set,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f13(empty_set,empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f13(empty_set,empty_set,cx,empty_set) = a
% 3.40/0.94 & f13(empty_set,empty_set,cx,cx) = cx
% 3.40/0.94 & f13(empty_set,empty_set,cx,a) = a
% 3.40/0.94 & f13(empty_set,empty_set,a,empty_set) = cx
% 3.40/0.94 & f13(empty_set,empty_set,a,cx) = cx
% 3.40/0.94 & f13(empty_set,empty_set,a,a) = cx
% 3.40/0.94 & f13(empty_set,cx,empty_set,empty_set) = a
% 3.40/0.94 & f13(empty_set,cx,empty_set,cx) = cx
% 3.40/0.94 & f13(empty_set,cx,empty_set,a) = a
% 3.40/0.94 & f13(empty_set,cx,cx,empty_set) = cx
% 3.40/0.94 & f13(empty_set,cx,cx,cx) = empty_set
% 3.40/0.94 & f13(empty_set,cx,cx,a) = a
% 3.40/0.94 & f13(empty_set,cx,a,empty_set) = a
% 3.40/0.94 & f13(empty_set,cx,a,cx) = a
% 3.40/0.94 & f13(empty_set,cx,a,a) = empty_set
% 3.40/0.94 & f13(empty_set,a,empty_set,empty_set) = a
% 3.40/0.94 & f13(empty_set,a,empty_set,cx) = cx
% 3.40/0.94 & f13(empty_set,a,empty_set,a) = empty_set
% 3.40/0.94 & f13(empty_set,a,cx,empty_set) = a
% 3.40/0.94 & f13(empty_set,a,cx,cx) = empty_set
% 3.40/0.94 & f13(empty_set,a,cx,a) = empty_set
% 3.40/0.94 & f13(empty_set,a,a,empty_set) = a
% 3.40/0.94 & f13(empty_set,a,a,cx) = a
% 3.40/0.94 & f13(empty_set,a,a,a) = cx
% 3.40/0.94 & f13(cx,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f13(cx,empty_set,empty_set,cx) = empty_set
% 3.40/0.94 & f13(cx,empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f13(cx,empty_set,cx,empty_set) = cx
% 3.40/0.94 & f13(cx,empty_set,cx,cx) = empty_set
% 3.40/0.94 & f13(cx,empty_set,cx,a) = cx
% 3.40/0.94 & f13(cx,empty_set,a,empty_set) = a
% 3.40/0.94 & f13(cx,empty_set,a,cx) = empty_set
% 3.40/0.94 & f13(cx,empty_set,a,a) = cx
% 3.40/0.94 & f13(cx,cx,empty_set,empty_set) = a
% 3.40/0.94 & f13(cx,cx,empty_set,cx) = cx
% 3.40/0.94 & f13(cx,cx,empty_set,a) = cx
% 3.40/0.94 & f13(cx,cx,cx,empty_set) = cx
% 3.40/0.94 & f13(cx,cx,cx,cx) = empty_set
% 3.40/0.94 & f13(cx,cx,cx,a) = a
% 3.40/0.94 & f13(cx,cx,a,empty_set) = a
% 3.40/0.94 & f13(cx,cx,a,cx) = a
% 3.40/0.94 & f13(cx,cx,a,a) = empty_set
% 3.40/0.94 & f13(cx,a,empty_set,empty_set) = cx
% 3.40/0.94 & f13(cx,a,empty_set,cx) = a
% 3.40/0.94 & f13(cx,a,empty_set,a) = a
% 3.40/0.94 & f13(cx,a,cx,empty_set) = a
% 3.40/0.94 & f13(cx,a,cx,cx) = cx
% 3.40/0.94 & f13(cx,a,cx,a) = empty_set
% 3.40/0.94 & f13(cx,a,a,empty_set) = a
% 3.40/0.94 & f13(cx,a,a,cx) = empty_set
% 3.40/0.94 & f13(cx,a,a,a) = cx
% 3.40/0.94 & f13(a,empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f13(a,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f13(a,empty_set,empty_set,a) = cx
% 3.40/0.94 & f13(a,empty_set,cx,empty_set) = a
% 3.40/0.94 & f13(a,empty_set,cx,cx) = a
% 3.40/0.94 & f13(a,empty_set,cx,a) = empty_set
% 3.40/0.94 & f13(a,empty_set,a,empty_set) = cx
% 3.40/0.94 & f13(a,empty_set,a,cx) = cx
% 3.40/0.94 & f13(a,empty_set,a,a) = a
% 3.40/0.94 & f13(a,cx,empty_set,empty_set) = cx
% 3.40/0.94 & f13(a,cx,empty_set,cx) = cx
% 3.40/0.94 & f13(a,cx,empty_set,a) = empty_set
% 3.40/0.94 & f13(a,cx,cx,empty_set) = empty_set
% 3.40/0.94 & f13(a,cx,cx,cx) = cx
% 3.40/0.94 & f13(a,cx,cx,a) = a
% 3.40/0.94 & f13(a,cx,a,empty_set) = a
% 3.40/0.94 & f13(a,cx,a,cx) = empty_set
% 3.40/0.94 & f13(a,cx,a,a) = a
% 3.40/0.94 & f13(a,a,empty_set,empty_set) = a
% 3.40/0.94 & f13(a,a,empty_set,cx) = cx
% 3.40/0.94 & f13(a,a,empty_set,a) = empty_set
% 3.40/0.94 & f13(a,a,cx,empty_set) = cx
% 3.40/0.94 & f13(a,a,cx,cx) = cx
% 3.40/0.94 & f13(a,a,cx,a) = a
% 3.40/0.94 & f13(a,a,a,empty_set) = cx
% 3.40/0.94 & f13(a,a,a,cx) = cx
% 3.40/0.94 & f13(a,a,a,a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_closure,type,closure: $i * $i * $i > $i).
% 3.40/0.94 tff(function_closure,axiom,
% 3.40/0.94 closure(empty_set,empty_set,empty_set) = cx
% 3.40/0.94 & closure(empty_set,empty_set,cx) = cx
% 3.40/0.94 & closure(empty_set,empty_set,a) = cx
% 3.40/0.94 & closure(empty_set,cx,empty_set) = cx
% 3.40/0.94 & closure(empty_set,cx,cx) = cx
% 3.40/0.94 & closure(empty_set,cx,a) = cx
% 3.40/0.94 & closure(empty_set,a,empty_set) = cx
% 3.40/0.94 & closure(empty_set,a,cx) = cx
% 3.40/0.94 & closure(empty_set,a,a) = cx
% 3.40/0.94 & closure(cx,empty_set,empty_set) = a
% 3.40/0.94 & closure(cx,empty_set,cx) = a
% 3.40/0.94 & closure(cx,empty_set,a) = a
% 3.40/0.94 & closure(cx,cx,empty_set) = a
% 3.40/0.94 & closure(cx,cx,cx) = a
% 3.40/0.94 & closure(cx,cx,a) = cx
% 3.40/0.94 & closure(cx,a,empty_set) = cx
% 3.40/0.94 & closure(cx,a,cx) = cx
% 3.40/0.94 & closure(cx,a,a) = cx
% 3.40/0.94 & closure(a,empty_set,empty_set) = a
% 3.40/0.94 & closure(a,empty_set,cx) = a
% 3.40/0.94 & closure(a,empty_set,a) = cx
% 3.40/0.94 & closure(a,cx,empty_set) = a
% 3.40/0.94 & closure(a,cx,cx) = cx
% 3.40/0.94 & closure(a,cx,a) = a
% 3.40/0.94 & closure(a,a,empty_set) = a
% 3.40/0.94 & closure(a,a,cx) = a
% 3.40/0.94 & closure(a,a,a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f14,type,f14: $i * $i * $i * $i > $i).
% 3.40/0.94 tff(function_f14,axiom,
% 3.40/0.94 f14(empty_set,empty_set,empty_set,empty_set) = cx
% 3.40/0.94 & f14(empty_set,empty_set,empty_set,cx) = a
% 3.40/0.94 & f14(empty_set,empty_set,empty_set,a) = a
% 3.40/0.94 & f14(empty_set,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f14(empty_set,empty_set,cx,cx) = cx
% 3.40/0.94 & f14(empty_set,empty_set,cx,a) = a
% 3.40/0.94 & f14(empty_set,empty_set,a,empty_set) = cx
% 3.40/0.94 & f14(empty_set,empty_set,a,cx) = cx
% 3.40/0.94 & f14(empty_set,empty_set,a,a) = cx
% 3.40/0.94 & f14(empty_set,cx,empty_set,empty_set) = a
% 3.40/0.94 & f14(empty_set,cx,empty_set,cx) = cx
% 3.40/0.94 & f14(empty_set,cx,empty_set,a) = empty_set
% 3.40/0.94 & f14(empty_set,cx,cx,empty_set) = empty_set
% 3.40/0.94 & f14(empty_set,cx,cx,cx) = empty_set
% 3.40/0.94 & f14(empty_set,cx,cx,a) = empty_set
% 3.40/0.94 & f14(empty_set,cx,a,empty_set) = empty_set
% 3.40/0.94 & f14(empty_set,cx,a,cx) = a
% 3.40/0.94 & f14(empty_set,cx,a,a) = a
% 3.40/0.94 & f14(empty_set,a,empty_set,empty_set) = empty_set
% 3.40/0.94 & f14(empty_set,a,empty_set,cx) = empty_set
% 3.40/0.94 & f14(empty_set,a,empty_set,a) = a
% 3.40/0.94 & f14(empty_set,a,cx,empty_set) = a
% 3.40/0.94 & f14(empty_set,a,cx,cx) = a
% 3.40/0.94 & f14(empty_set,a,cx,a) = a
% 3.40/0.94 & f14(empty_set,a,a,empty_set) = empty_set
% 3.40/0.94 & f14(empty_set,a,a,cx) = a
% 3.40/0.94 & f14(empty_set,a,a,a) = empty_set
% 3.40/0.94 & f14(cx,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f14(cx,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f14(cx,empty_set,empty_set,a) = cx
% 3.40/0.94 & f14(cx,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f14(cx,empty_set,cx,cx) = a
% 3.40/0.94 & f14(cx,empty_set,cx,a) = empty_set
% 3.40/0.94 & f14(cx,empty_set,a,empty_set) = a
% 3.40/0.94 & f14(cx,empty_set,a,cx) = a
% 3.40/0.94 & f14(cx,empty_set,a,a) = a
% 3.40/0.94 & f14(cx,cx,empty_set,empty_set) = a
% 3.40/0.94 & f14(cx,cx,empty_set,cx) = cx
% 3.40/0.94 & f14(cx,cx,empty_set,a) = empty_set
% 3.40/0.94 & f14(cx,cx,cx,empty_set) = empty_set
% 3.40/0.94 & f14(cx,cx,cx,cx) = cx
% 3.40/0.94 & f14(cx,cx,cx,a) = a
% 3.40/0.94 & f14(cx,cx,a,empty_set) = empty_set
% 3.40/0.94 & f14(cx,cx,a,cx) = cx
% 3.40/0.94 & f14(cx,cx,a,a) = a
% 3.40/0.94 & f14(cx,a,empty_set,empty_set) = a
% 3.40/0.94 & f14(cx,a,empty_set,cx) = a
% 3.40/0.94 & f14(cx,a,empty_set,a) = empty_set
% 3.40/0.94 & f14(cx,a,cx,empty_set) = empty_set
% 3.40/0.94 & f14(cx,a,cx,cx) = a
% 3.40/0.94 & f14(cx,a,cx,a) = empty_set
% 3.40/0.94 & f14(cx,a,a,empty_set) = cx
% 3.40/0.94 & f14(cx,a,a,cx) = cx
% 3.40/0.94 & f14(cx,a,a,a) = a
% 3.40/0.94 & f14(a,empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f14(a,empty_set,empty_set,cx) = a
% 3.40/0.94 & f14(a,empty_set,empty_set,a) = cx
% 3.40/0.94 & f14(a,empty_set,cx,empty_set) = cx
% 3.40/0.94 & f14(a,empty_set,cx,cx) = cx
% 3.40/0.94 & f14(a,empty_set,cx,a) = a
% 3.40/0.94 & f14(a,empty_set,a,empty_set) = empty_set
% 3.40/0.94 & f14(a,empty_set,a,cx) = empty_set
% 3.40/0.94 & f14(a,empty_set,a,a) = a
% 3.40/0.94 & f14(a,cx,empty_set,empty_set) = cx
% 3.40/0.94 & f14(a,cx,empty_set,cx) = cx
% 3.40/0.94 & f14(a,cx,empty_set,a) = cx
% 3.40/0.94 & f14(a,cx,cx,empty_set) = empty_set
% 3.40/0.94 & f14(a,cx,cx,cx) = empty_set
% 3.40/0.94 & f14(a,cx,cx,a) = empty_set
% 3.40/0.94 & f14(a,cx,a,empty_set) = cx
% 3.40/0.94 & f14(a,cx,a,cx) = empty_set
% 3.40/0.94 & f14(a,cx,a,a) = a
% 3.40/0.94 & f14(a,a,empty_set,empty_set) = empty_set
% 3.40/0.94 & f14(a,a,empty_set,cx) = cx
% 3.40/0.94 & f14(a,a,empty_set,a) = a
% 3.40/0.94 & f14(a,a,cx,empty_set) = cx
% 3.40/0.94 & f14(a,a,cx,cx) = a
% 3.40/0.94 & f14(a,a,cx,a) = cx
% 3.40/0.94 & f14(a,a,a,empty_set) = a
% 3.40/0.94 & f14(a,a,a,cx) = a
% 3.40/0.94 & f14(a,a,a,a) = a
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f15,type,f15: $i * $i * $i * $i * $i > $i).
% 3.40/0.94 tff(function_f15,axiom,
% 3.40/0.94 f15(empty_set,empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f15(empty_set,empty_set,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f15(empty_set,empty_set,empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f15(empty_set,empty_set,empty_set,cx,empty_set) = cx
% 3.40/0.94 & f15(empty_set,empty_set,empty_set,cx,cx) = empty_set
% 3.40/0.94 & f15(empty_set,empty_set,empty_set,cx,a) = cx
% 3.40/0.94 & f15(empty_set,empty_set,empty_set,a,empty_set) = empty_set
% 3.40/0.94 & f15(empty_set,empty_set,empty_set,a,cx) = empty_set
% 3.40/0.94 & f15(empty_set,empty_set,empty_set,a,a) = empty_set
% 3.40/0.94 & f15(empty_set,empty_set,cx,empty_set,empty_set) = a
% 3.40/0.94 & f15(empty_set,empty_set,cx,empty_set,cx) = a
% 3.40/0.94 & f15(empty_set,empty_set,cx,empty_set,a) = cx
% 3.40/0.94 & f15(empty_set,empty_set,cx,cx,empty_set) = a
% 3.40/0.94 & f15(empty_set,empty_set,cx,cx,cx) = a
% 3.40/0.94 & f15(empty_set,empty_set,cx,cx,a) = empty_set
% 3.40/0.94 & f15(empty_set,empty_set,cx,a,empty_set) = cx
% 3.40/0.94 & f15(empty_set,empty_set,cx,a,cx) = a
% 3.40/0.94 & f15(empty_set,empty_set,cx,a,a) = a
% 3.40/0.94 & f15(empty_set,empty_set,a,empty_set,empty_set) = a
% 3.40/0.94 & f15(empty_set,empty_set,a,empty_set,cx) = empty_set
% 3.40/0.94 & f15(empty_set,empty_set,a,empty_set,a) = empty_set
% 3.40/0.94 & f15(empty_set,empty_set,a,cx,empty_set) = empty_set
% 3.40/0.94 & f15(empty_set,empty_set,a,cx,cx) = a
% 3.40/0.94 & f15(empty_set,empty_set,a,cx,a) = a
% 3.40/0.94 & f15(empty_set,empty_set,a,a,empty_set) = empty_set
% 3.40/0.94 & f15(empty_set,empty_set,a,a,cx) = a
% 3.40/0.94 & f15(empty_set,empty_set,a,a,a) = empty_set
% 3.40/0.94 & f15(empty_set,cx,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f15(empty_set,cx,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f15(empty_set,cx,empty_set,empty_set,a) = cx
% 3.40/0.94 & f15(empty_set,cx,empty_set,cx,empty_set) = cx
% 3.40/0.94 & f15(empty_set,cx,empty_set,cx,cx) = a
% 3.40/0.94 & f15(empty_set,cx,empty_set,cx,a) = a
% 3.40/0.94 & f15(empty_set,cx,empty_set,a,empty_set) = cx
% 3.40/0.94 & f15(empty_set,cx,empty_set,a,cx) = cx
% 3.40/0.94 & f15(empty_set,cx,empty_set,a,a) = cx
% 3.40/0.94 & f15(empty_set,cx,cx,empty_set,empty_set) = a
% 3.40/0.94 & f15(empty_set,cx,cx,empty_set,cx) = a
% 3.40/0.94 & f15(empty_set,cx,cx,empty_set,a) = cx
% 3.40/0.94 & f15(empty_set,cx,cx,cx,empty_set) = a
% 3.40/0.94 & f15(empty_set,cx,cx,cx,cx) = empty_set
% 3.40/0.94 & f15(empty_set,cx,cx,cx,a) = empty_set
% 3.40/0.94 & f15(empty_set,cx,cx,a,empty_set) = cx
% 3.40/0.94 & f15(empty_set,cx,cx,a,cx) = cx
% 3.40/0.94 & f15(empty_set,cx,cx,a,a) = cx
% 3.40/0.94 & f15(empty_set,cx,a,empty_set,empty_set) = cx
% 3.40/0.94 & f15(empty_set,cx,a,empty_set,cx) = cx
% 3.40/0.94 & f15(empty_set,cx,a,empty_set,a) = a
% 3.40/0.94 & f15(empty_set,cx,a,cx,empty_set) = a
% 3.40/0.94 & f15(empty_set,cx,a,cx,cx) = empty_set
% 3.40/0.94 & f15(empty_set,cx,a,cx,a) = a
% 3.40/0.94 & f15(empty_set,cx,a,a,empty_set) = empty_set
% 3.40/0.94 & f15(empty_set,cx,a,a,cx) = empty_set
% 3.40/0.94 & f15(empty_set,cx,a,a,a) = a
% 3.40/0.94 & f15(empty_set,a,empty_set,empty_set,empty_set) = cx
% 3.40/0.94 & f15(empty_set,a,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f15(empty_set,a,empty_set,empty_set,a) = cx
% 3.40/0.94 & f15(empty_set,a,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f15(empty_set,a,empty_set,cx,cx) = cx
% 3.40/0.94 & f15(empty_set,a,empty_set,cx,a) = empty_set
% 3.40/0.94 & f15(empty_set,a,empty_set,a,empty_set) = cx
% 3.40/0.94 & f15(empty_set,a,empty_set,a,cx) = empty_set
% 3.40/0.94 & f15(empty_set,a,empty_set,a,a) = cx
% 3.40/0.94 & f15(empty_set,a,cx,empty_set,empty_set) = a
% 3.40/0.94 & f15(empty_set,a,cx,empty_set,cx) = a
% 3.40/0.94 & f15(empty_set,a,cx,empty_set,a) = empty_set
% 3.40/0.94 & f15(empty_set,a,cx,cx,empty_set) = a
% 3.40/0.94 & f15(empty_set,a,cx,cx,cx) = empty_set
% 3.40/0.94 & f15(empty_set,a,cx,cx,a) = a
% 3.40/0.94 & f15(empty_set,a,cx,a,empty_set) = a
% 3.40/0.94 & f15(empty_set,a,cx,a,cx) = cx
% 3.40/0.94 & f15(empty_set,a,cx,a,a) = cx
% 3.40/0.94 & f15(empty_set,a,a,empty_set,empty_set) = empty_set
% 3.40/0.94 & f15(empty_set,a,a,empty_set,cx) = empty_set
% 3.40/0.94 & f15(empty_set,a,a,empty_set,a) = empty_set
% 3.40/0.94 & f15(empty_set,a,a,cx,empty_set) = a
% 3.40/0.94 & f15(empty_set,a,a,cx,cx) = a
% 3.40/0.94 & f15(empty_set,a,a,cx,a) = empty_set
% 3.40/0.94 & f15(empty_set,a,a,a,empty_set) = cx
% 3.40/0.94 & f15(empty_set,a,a,a,cx) = a
% 3.40/0.94 & f15(empty_set,a,a,a,a) = empty_set
% 3.40/0.94 & f15(cx,empty_set,empty_set,empty_set,empty_set) = cx
% 3.40/0.94 & f15(cx,empty_set,empty_set,empty_set,cx) = empty_set
% 3.40/0.94 & f15(cx,empty_set,empty_set,empty_set,a) = cx
% 3.40/0.94 & f15(cx,empty_set,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f15(cx,empty_set,empty_set,cx,cx) = cx
% 3.40/0.94 & f15(cx,empty_set,empty_set,cx,a) = a
% 3.40/0.94 & f15(cx,empty_set,empty_set,a,empty_set) = a
% 3.40/0.94 & f15(cx,empty_set,empty_set,a,cx) = empty_set
% 3.40/0.94 & f15(cx,empty_set,empty_set,a,a) = empty_set
% 3.40/0.94 & f15(cx,empty_set,cx,empty_set,empty_set) = a
% 3.40/0.94 & f15(cx,empty_set,cx,empty_set,cx) = empty_set
% 3.40/0.94 & f15(cx,empty_set,cx,empty_set,a) = a
% 3.40/0.94 & f15(cx,empty_set,cx,cx,empty_set) = cx
% 3.40/0.94 & f15(cx,empty_set,cx,cx,cx) = cx
% 3.40/0.94 & f15(cx,empty_set,cx,cx,a) = a
% 3.40/0.94 & f15(cx,empty_set,cx,a,empty_set) = empty_set
% 3.40/0.94 & f15(cx,empty_set,cx,a,cx) = cx
% 3.40/0.94 & f15(cx,empty_set,cx,a,a) = cx
% 3.40/0.94 & f15(cx,empty_set,a,empty_set,empty_set) = a
% 3.40/0.94 & f15(cx,empty_set,a,empty_set,cx) = cx
% 3.40/0.94 & f15(cx,empty_set,a,empty_set,a) = a
% 3.40/0.94 & f15(cx,empty_set,a,cx,empty_set) = cx
% 3.40/0.94 & f15(cx,empty_set,a,cx,cx) = empty_set
% 3.40/0.94 & f15(cx,empty_set,a,cx,a) = a
% 3.40/0.94 & f15(cx,empty_set,a,a,empty_set) = cx
% 3.40/0.94 & f15(cx,empty_set,a,a,cx) = cx
% 3.40/0.94 & f15(cx,empty_set,a,a,a) = a
% 3.40/0.94 & f15(cx,cx,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f15(cx,cx,empty_set,empty_set,cx) = empty_set
% 3.40/0.94 & f15(cx,cx,empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f15(cx,cx,empty_set,cx,empty_set) = a
% 3.40/0.94 & f15(cx,cx,empty_set,cx,cx) = cx
% 3.40/0.94 & f15(cx,cx,empty_set,cx,a) = empty_set
% 3.40/0.94 & f15(cx,cx,empty_set,a,empty_set) = cx
% 3.40/0.94 & f15(cx,cx,empty_set,a,cx) = cx
% 3.40/0.94 & f15(cx,cx,empty_set,a,a) = empty_set
% 3.40/0.94 & f15(cx,cx,cx,empty_set,empty_set) = cx
% 3.40/0.94 & f15(cx,cx,cx,empty_set,cx) = cx
% 3.40/0.94 & f15(cx,cx,cx,empty_set,a) = cx
% 3.40/0.94 & f15(cx,cx,cx,cx,empty_set) = cx
% 3.40/0.94 & f15(cx,cx,cx,cx,cx) = cx
% 3.40/0.94 & f15(cx,cx,cx,cx,a) = empty_set
% 3.40/0.94 & f15(cx,cx,cx,a,empty_set) = empty_set
% 3.40/0.94 & f15(cx,cx,cx,a,cx) = a
% 3.40/0.94 & f15(cx,cx,cx,a,a) = empty_set
% 3.40/0.94 & f15(cx,cx,a,empty_set,empty_set) = cx
% 3.40/0.94 & f15(cx,cx,a,empty_set,cx) = empty_set
% 3.40/0.94 & f15(cx,cx,a,empty_set,a) = a
% 3.40/0.94 & f15(cx,cx,a,cx,empty_set) = empty_set
% 3.40/0.94 & f15(cx,cx,a,cx,cx) = empty_set
% 3.40/0.94 & f15(cx,cx,a,cx,a) = a
% 3.40/0.94 & f15(cx,cx,a,a,empty_set) = a
% 3.40/0.94 & f15(cx,cx,a,a,cx) = cx
% 3.40/0.94 & f15(cx,cx,a,a,a) = empty_set
% 3.40/0.94 & f15(cx,a,empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f15(cx,a,empty_set,empty_set,cx) = a
% 3.40/0.94 & f15(cx,a,empty_set,empty_set,a) = a
% 3.40/0.94 & f15(cx,a,empty_set,cx,empty_set) = cx
% 3.40/0.94 & f15(cx,a,empty_set,cx,cx) = cx
% 3.40/0.94 & f15(cx,a,empty_set,cx,a) = empty_set
% 3.40/0.94 & f15(cx,a,empty_set,a,empty_set) = cx
% 3.40/0.94 & f15(cx,a,empty_set,a,cx) = a
% 3.40/0.94 & f15(cx,a,empty_set,a,a) = cx
% 3.40/0.94 & f15(cx,a,cx,empty_set,empty_set) = cx
% 3.40/0.94 & f15(cx,a,cx,empty_set,cx) = empty_set
% 3.40/0.94 & f15(cx,a,cx,empty_set,a) = cx
% 3.40/0.94 & f15(cx,a,cx,cx,empty_set) = cx
% 3.40/0.94 & f15(cx,a,cx,cx,cx) = empty_set
% 3.40/0.94 & f15(cx,a,cx,cx,a) = a
% 3.40/0.94 & f15(cx,a,cx,a,empty_set) = a
% 3.40/0.94 & f15(cx,a,cx,a,cx) = empty_set
% 3.40/0.94 & f15(cx,a,cx,a,a) = a
% 3.40/0.94 & f15(cx,a,a,empty_set,empty_set) = a
% 3.40/0.94 & f15(cx,a,a,empty_set,cx) = cx
% 3.40/0.94 & f15(cx,a,a,empty_set,a) = empty_set
% 3.40/0.94 & f15(cx,a,a,cx,empty_set) = a
% 3.40/0.94 & f15(cx,a,a,cx,cx) = a
% 3.40/0.94 & f15(cx,a,a,cx,a) = a
% 3.40/0.94 & f15(cx,a,a,a,empty_set) = empty_set
% 3.40/0.94 & f15(cx,a,a,a,cx) = a
% 3.40/0.94 & f15(cx,a,a,a,a) = empty_set
% 3.40/0.94 & f15(a,empty_set,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f15(a,empty_set,empty_set,empty_set,cx) = a
% 3.40/0.94 & f15(a,empty_set,empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f15(a,empty_set,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f15(a,empty_set,empty_set,cx,cx) = empty_set
% 3.40/0.94 & f15(a,empty_set,empty_set,cx,a) = empty_set
% 3.40/0.94 & f15(a,empty_set,empty_set,a,empty_set) = empty_set
% 3.40/0.94 & f15(a,empty_set,empty_set,a,cx) = empty_set
% 3.40/0.94 & f15(a,empty_set,empty_set,a,a) = a
% 3.40/0.94 & f15(a,empty_set,cx,empty_set,empty_set) = empty_set
% 3.40/0.94 & f15(a,empty_set,cx,empty_set,cx) = a
% 3.40/0.94 & f15(a,empty_set,cx,empty_set,a) = empty_set
% 3.40/0.94 & f15(a,empty_set,cx,cx,empty_set) = cx
% 3.40/0.94 & f15(a,empty_set,cx,cx,cx) = cx
% 3.40/0.94 & f15(a,empty_set,cx,cx,a) = a
% 3.40/0.94 & f15(a,empty_set,cx,a,empty_set) = empty_set
% 3.40/0.94 & f15(a,empty_set,cx,a,cx) = a
% 3.40/0.94 & f15(a,empty_set,cx,a,a) = cx
% 3.40/0.94 & f15(a,empty_set,a,empty_set,empty_set) = empty_set
% 3.40/0.94 & f15(a,empty_set,a,empty_set,cx) = empty_set
% 3.40/0.94 & f15(a,empty_set,a,empty_set,a) = cx
% 3.40/0.94 & f15(a,empty_set,a,cx,empty_set) = cx
% 3.40/0.94 & f15(a,empty_set,a,cx,cx) = cx
% 3.40/0.94 & f15(a,empty_set,a,cx,a) = cx
% 3.40/0.94 & f15(a,empty_set,a,a,empty_set) = a
% 3.40/0.94 & f15(a,empty_set,a,a,cx) = a
% 3.40/0.94 & f15(a,empty_set,a,a,a) = a
% 3.40/0.94 & f15(a,cx,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f15(a,cx,empty_set,empty_set,cx) = a
% 3.40/0.94 & f15(a,cx,empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f15(a,cx,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f15(a,cx,empty_set,cx,cx) = a
% 3.40/0.94 & f15(a,cx,empty_set,cx,a) = empty_set
% 3.40/0.94 & f15(a,cx,empty_set,a,empty_set) = cx
% 3.40/0.94 & f15(a,cx,empty_set,a,cx) = empty_set
% 3.40/0.94 & f15(a,cx,empty_set,a,a) = empty_set
% 3.40/0.94 & f15(a,cx,cx,empty_set,empty_set) = empty_set
% 3.40/0.94 & f15(a,cx,cx,empty_set,cx) = empty_set
% 3.40/0.94 & f15(a,cx,cx,empty_set,a) = cx
% 3.40/0.94 & f15(a,cx,cx,cx,empty_set) = cx
% 3.40/0.94 & f15(a,cx,cx,cx,cx) = empty_set
% 3.40/0.94 & f15(a,cx,cx,cx,a) = empty_set
% 3.40/0.94 & f15(a,cx,cx,a,empty_set) = cx
% 3.40/0.94 & f15(a,cx,cx,a,cx) = empty_set
% 3.40/0.94 & f15(a,cx,cx,a,a) = empty_set
% 3.40/0.94 & f15(a,cx,a,empty_set,empty_set) = cx
% 3.40/0.94 & f15(a,cx,a,empty_set,cx) = a
% 3.40/0.94 & f15(a,cx,a,empty_set,a) = a
% 3.40/0.94 & f15(a,cx,a,cx,empty_set) = empty_set
% 3.40/0.94 & f15(a,cx,a,cx,cx) = empty_set
% 3.40/0.94 & f15(a,cx,a,cx,a) = cx
% 3.40/0.94 & f15(a,cx,a,a,empty_set) = empty_set
% 3.40/0.94 & f15(a,cx,a,a,cx) = cx
% 3.40/0.94 & f15(a,cx,a,a,a) = a
% 3.40/0.94 & f15(a,a,empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f15(a,a,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f15(a,a,empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f15(a,a,empty_set,cx,empty_set) = cx
% 3.40/0.94 & f15(a,a,empty_set,cx,cx) = cx
% 3.40/0.94 & f15(a,a,empty_set,cx,a) = a
% 3.40/0.94 & f15(a,a,empty_set,a,empty_set) = empty_set
% 3.40/0.94 & f15(a,a,empty_set,a,cx) = empty_set
% 3.40/0.94 & f15(a,a,empty_set,a,a) = empty_set
% 3.40/0.94 & f15(a,a,cx,empty_set,empty_set) = a
% 3.40/0.94 & f15(a,a,cx,empty_set,cx) = cx
% 3.40/0.94 & f15(a,a,cx,empty_set,a) = cx
% 3.40/0.94 & f15(a,a,cx,cx,empty_set) = a
% 3.40/0.94 & f15(a,a,cx,cx,cx) = cx
% 3.40/0.94 & f15(a,a,cx,cx,a) = cx
% 3.40/0.94 & f15(a,a,cx,a,empty_set) = a
% 3.40/0.94 & f15(a,a,cx,a,cx) = empty_set
% 3.40/0.94 & f15(a,a,cx,a,a) = a
% 3.40/0.94 & f15(a,a,a,empty_set,empty_set) = cx
% 3.40/0.94 & f15(a,a,a,empty_set,cx) = cx
% 3.40/0.94 & f15(a,a,a,empty_set,a) = cx
% 3.40/0.94 & f15(a,a,a,cx,empty_set) = empty_set
% 3.40/0.94 & f15(a,a,a,cx,cx) = a
% 3.40/0.94 & f15(a,a,a,cx,a) = empty_set
% 3.40/0.94 & f15(a,a,a,a,empty_set) = cx
% 3.40/0.94 & f15(a,a,a,a,cx) = cx
% 3.40/0.94 & f15(a,a,a,a,a) = a
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f16,type,f16: $i * $i * $i * $i > $i).
% 3.40/0.94 tff(function_f16,axiom,
% 3.40/0.94 f16(empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f16(empty_set,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f16(empty_set,empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f16(empty_set,empty_set,cx,empty_set) = a
% 3.40/0.94 & f16(empty_set,empty_set,cx,cx) = empty_set
% 3.40/0.94 & f16(empty_set,empty_set,cx,a) = cx
% 3.40/0.94 & f16(empty_set,empty_set,a,empty_set) = empty_set
% 3.40/0.94 & f16(empty_set,empty_set,a,cx) = cx
% 3.40/0.94 & f16(empty_set,empty_set,a,a) = a
% 3.40/0.94 & f16(empty_set,cx,empty_set,empty_set) = cx
% 3.40/0.94 & f16(empty_set,cx,empty_set,cx) = a
% 3.40/0.94 & f16(empty_set,cx,empty_set,a) = empty_set
% 3.40/0.94 & f16(empty_set,cx,cx,empty_set) = empty_set
% 3.40/0.94 & f16(empty_set,cx,cx,cx) = cx
% 3.40/0.94 & f16(empty_set,cx,cx,a) = a
% 3.40/0.94 & f16(empty_set,cx,a,empty_set) = empty_set
% 3.40/0.94 & f16(empty_set,cx,a,cx) = cx
% 3.40/0.94 & f16(empty_set,cx,a,a) = a
% 3.40/0.94 & f16(empty_set,a,empty_set,empty_set) = empty_set
% 3.40/0.94 & f16(empty_set,a,empty_set,cx) = cx
% 3.40/0.94 & f16(empty_set,a,empty_set,a) = empty_set
% 3.40/0.94 & f16(empty_set,a,cx,empty_set) = empty_set
% 3.40/0.94 & f16(empty_set,a,cx,cx) = cx
% 3.40/0.94 & f16(empty_set,a,cx,a) = empty_set
% 3.40/0.94 & f16(empty_set,a,a,empty_set) = empty_set
% 3.40/0.94 & f16(empty_set,a,a,cx) = empty_set
% 3.40/0.94 & f16(empty_set,a,a,a) = cx
% 3.40/0.94 & f16(cx,empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f16(cx,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f16(cx,empty_set,empty_set,a) = cx
% 3.40/0.94 & f16(cx,empty_set,cx,empty_set) = a
% 3.40/0.94 & f16(cx,empty_set,cx,cx) = cx
% 3.40/0.94 & f16(cx,empty_set,cx,a) = cx
% 3.40/0.94 & f16(cx,empty_set,a,empty_set) = a
% 3.40/0.94 & f16(cx,empty_set,a,cx) = a
% 3.40/0.94 & f16(cx,empty_set,a,a) = cx
% 3.40/0.94 & f16(cx,cx,empty_set,empty_set) = empty_set
% 3.40/0.94 & f16(cx,cx,empty_set,cx) = empty_set
% 3.40/0.94 & f16(cx,cx,empty_set,a) = empty_set
% 3.40/0.94 & f16(cx,cx,cx,empty_set) = a
% 3.40/0.94 & f16(cx,cx,cx,cx) = empty_set
% 3.40/0.94 & f16(cx,cx,cx,a) = cx
% 3.40/0.94 & f16(cx,cx,a,empty_set) = a
% 3.40/0.94 & f16(cx,cx,a,cx) = a
% 3.40/0.94 & f16(cx,cx,a,a) = a
% 3.40/0.94 & f16(cx,a,empty_set,empty_set) = empty_set
% 3.40/0.94 & f16(cx,a,empty_set,cx) = empty_set
% 3.40/0.94 & f16(cx,a,empty_set,a) = cx
% 3.40/0.94 & f16(cx,a,cx,empty_set) = empty_set
% 3.40/0.94 & f16(cx,a,cx,cx) = a
% 3.40/0.94 & f16(cx,a,cx,a) = a
% 3.40/0.94 & f16(cx,a,a,empty_set) = cx
% 3.40/0.94 & f16(cx,a,a,cx) = empty_set
% 3.40/0.94 & f16(cx,a,a,a) = empty_set
% 3.40/0.94 & f16(a,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f16(a,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f16(a,empty_set,empty_set,a) = cx
% 3.40/0.94 & f16(a,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f16(a,empty_set,cx,cx) = a
% 3.40/0.94 & f16(a,empty_set,cx,a) = empty_set
% 3.40/0.94 & f16(a,empty_set,a,empty_set) = empty_set
% 3.40/0.94 & f16(a,empty_set,a,cx) = empty_set
% 3.40/0.94 & f16(a,empty_set,a,a) = empty_set
% 3.40/0.94 & f16(a,cx,empty_set,empty_set) = empty_set
% 3.40/0.94 & f16(a,cx,empty_set,cx) = cx
% 3.40/0.94 & f16(a,cx,empty_set,a) = empty_set
% 3.40/0.94 & f16(a,cx,cx,empty_set) = cx
% 3.40/0.94 & f16(a,cx,cx,cx) = a
% 3.40/0.94 & f16(a,cx,cx,a) = empty_set
% 3.40/0.94 & f16(a,cx,a,empty_set) = empty_set
% 3.40/0.94 & f16(a,cx,a,cx) = empty_set
% 3.40/0.94 & f16(a,cx,a,a) = a
% 3.40/0.94 & f16(a,a,empty_set,empty_set) = a
% 3.40/0.94 & f16(a,a,empty_set,cx) = cx
% 3.40/0.94 & f16(a,a,empty_set,a) = cx
% 3.40/0.94 & f16(a,a,cx,empty_set) = empty_set
% 3.40/0.94 & f16(a,a,cx,cx) = cx
% 3.40/0.94 & f16(a,a,cx,a) = cx
% 3.40/0.94 & f16(a,a,a,empty_set) = cx
% 3.40/0.94 & f16(a,a,a,cx) = a
% 3.40/0.94 & f16(a,a,a,a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_boundary,type,boundary: $i * $i * $i > $i).
% 3.40/0.94 tff(function_boundary,axiom,
% 3.40/0.94 boundary(empty_set,empty_set,empty_set) = a
% 3.40/0.94 & boundary(empty_set,empty_set,cx) = cx
% 3.40/0.94 & boundary(empty_set,empty_set,a) = a
% 3.40/0.94 & boundary(empty_set,cx,empty_set) = cx
% 3.40/0.94 & boundary(empty_set,cx,cx) = cx
% 3.40/0.94 & boundary(empty_set,cx,a) = a
% 3.40/0.94 & boundary(empty_set,a,empty_set) = a
% 3.40/0.94 & boundary(empty_set,a,cx) = cx
% 3.40/0.94 & boundary(empty_set,a,a) = a
% 3.40/0.94 & boundary(cx,empty_set,empty_set) = a
% 3.40/0.94 & boundary(cx,empty_set,cx) = a
% 3.40/0.94 & boundary(cx,empty_set,a) = cx
% 3.40/0.94 & boundary(cx,cx,empty_set) = a
% 3.40/0.94 & boundary(cx,cx,cx) = cx
% 3.40/0.94 & boundary(cx,cx,a) = a
% 3.40/0.94 & boundary(cx,a,empty_set) = a
% 3.40/0.94 & boundary(cx,a,cx) = cx
% 3.40/0.94 & boundary(cx,a,a) = a
% 3.40/0.94 & boundary(a,empty_set,empty_set) = a
% 3.40/0.94 & boundary(a,empty_set,cx) = cx
% 3.40/0.94 & boundary(a,empty_set,a) = a
% 3.40/0.94 & boundary(a,cx,empty_set) = a
% 3.40/0.94 & boundary(a,cx,cx) = cx
% 3.40/0.94 & boundary(a,cx,a) = a
% 3.40/0.94 & boundary(a,a,empty_set) = a
% 3.40/0.94 & boundary(a,a,cx) = a
% 3.40/0.94 & boundary(a,a,a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f17,type,f17: $i * $i * $i * $i > $i).
% 3.40/0.94 tff(function_f17,axiom,
% 3.40/0.94 f17(empty_set,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f17(empty_set,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f17(empty_set,empty_set,empty_set,a) = a
% 3.40/0.94 & f17(empty_set,empty_set,cx,empty_set) = a
% 3.40/0.94 & f17(empty_set,empty_set,cx,cx) = empty_set
% 3.40/0.94 & f17(empty_set,empty_set,cx,a) = cx
% 3.40/0.94 & f17(empty_set,empty_set,a,empty_set) = cx
% 3.40/0.94 & f17(empty_set,empty_set,a,cx) = cx
% 3.40/0.94 & f17(empty_set,empty_set,a,a) = empty_set
% 3.40/0.94 & f17(empty_set,cx,empty_set,empty_set) = a
% 3.40/0.94 & f17(empty_set,cx,empty_set,cx) = a
% 3.40/0.94 & f17(empty_set,cx,empty_set,a) = empty_set
% 3.40/0.94 & f17(empty_set,cx,cx,empty_set) = a
% 3.40/0.94 & f17(empty_set,cx,cx,cx) = a
% 3.40/0.94 & f17(empty_set,cx,cx,a) = empty_set
% 3.40/0.94 & f17(empty_set,cx,a,empty_set) = a
% 3.40/0.94 & f17(empty_set,cx,a,cx) = a
% 3.40/0.94 & f17(empty_set,cx,a,a) = a
% 3.40/0.94 & f17(empty_set,a,empty_set,empty_set) = a
% 3.40/0.94 & f17(empty_set,a,empty_set,cx) = a
% 3.40/0.94 & f17(empty_set,a,empty_set,a) = a
% 3.40/0.94 & f17(empty_set,a,cx,empty_set) = cx
% 3.40/0.94 & f17(empty_set,a,cx,cx) = a
% 3.40/0.94 & f17(empty_set,a,cx,a) = a
% 3.40/0.94 & f17(empty_set,a,a,empty_set) = cx
% 3.40/0.94 & f17(empty_set,a,a,cx) = empty_set
% 3.40/0.94 & f17(empty_set,a,a,a) = cx
% 3.40/0.94 & f17(cx,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f17(cx,empty_set,empty_set,cx) = empty_set
% 3.40/0.94 & f17(cx,empty_set,empty_set,a) = cx
% 3.40/0.94 & f17(cx,empty_set,cx,empty_set) = a
% 3.40/0.94 & f17(cx,empty_set,cx,cx) = empty_set
% 3.40/0.94 & f17(cx,empty_set,cx,a) = a
% 3.40/0.94 & f17(cx,empty_set,a,empty_set) = cx
% 3.40/0.94 & f17(cx,empty_set,a,cx) = cx
% 3.40/0.94 & f17(cx,empty_set,a,a) = empty_set
% 3.40/0.94 & f17(cx,cx,empty_set,empty_set) = cx
% 3.40/0.94 & f17(cx,cx,empty_set,cx) = cx
% 3.40/0.94 & f17(cx,cx,empty_set,a) = a
% 3.40/0.94 & f17(cx,cx,cx,empty_set) = cx
% 3.40/0.94 & f17(cx,cx,cx,cx) = a
% 3.40/0.94 & f17(cx,cx,cx,a) = cx
% 3.40/0.94 & f17(cx,cx,a,empty_set) = a
% 3.40/0.94 & f17(cx,cx,a,cx) = a
% 3.40/0.94 & f17(cx,cx,a,a) = a
% 3.40/0.94 & f17(cx,a,empty_set,empty_set) = empty_set
% 3.40/0.94 & f17(cx,a,empty_set,cx) = cx
% 3.40/0.94 & f17(cx,a,empty_set,a) = empty_set
% 3.40/0.94 & f17(cx,a,cx,empty_set) = empty_set
% 3.40/0.94 & f17(cx,a,cx,cx) = a
% 3.40/0.94 & f17(cx,a,cx,a) = a
% 3.40/0.94 & f17(cx,a,a,empty_set) = a
% 3.40/0.94 & f17(cx,a,a,cx) = a
% 3.40/0.94 & f17(cx,a,a,a) = cx
% 3.40/0.94 & f17(a,empty_set,empty_set,empty_set) = a
% 3.40/0.94 & f17(a,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f17(a,empty_set,empty_set,a) = cx
% 3.40/0.94 & f17(a,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f17(a,empty_set,cx,cx) = empty_set
% 3.40/0.94 & f17(a,empty_set,cx,a) = cx
% 3.40/0.94 & f17(a,empty_set,a,empty_set) = a
% 3.40/0.94 & f17(a,empty_set,a,cx) = cx
% 3.40/0.94 & f17(a,empty_set,a,a) = a
% 3.40/0.94 & f17(a,cx,empty_set,empty_set) = empty_set
% 3.40/0.94 & f17(a,cx,empty_set,cx) = empty_set
% 3.40/0.94 & f17(a,cx,empty_set,a) = empty_set
% 3.40/0.94 & f17(a,cx,cx,empty_set) = a
% 3.40/0.94 & f17(a,cx,cx,cx) = cx
% 3.40/0.94 & f17(a,cx,cx,a) = cx
% 3.40/0.94 & f17(a,cx,a,empty_set) = a
% 3.40/0.94 & f17(a,cx,a,cx) = cx
% 3.40/0.94 & f17(a,cx,a,a) = cx
% 3.40/0.94 & f17(a,a,empty_set,empty_set) = a
% 3.40/0.94 & f17(a,a,empty_set,cx) = a
% 3.40/0.94 & f17(a,a,empty_set,a) = empty_set
% 3.40/0.94 & f17(a,a,cx,empty_set) = a
% 3.40/0.94 & f17(a,a,cx,cx) = empty_set
% 3.40/0.94 & f17(a,a,cx,a) = a
% 3.40/0.94 & f17(a,a,a,empty_set) = a
% 3.40/0.94 & f17(a,a,a,cx) = a
% 3.40/0.94 & f17(a,a,a,a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f18,type,f18: $i * $i * $i * $i > $i).
% 3.40/0.94 tff(function_f18,axiom,
% 3.40/0.94 f18(empty_set,empty_set,empty_set,empty_set) = cx
% 3.40/0.94 & f18(empty_set,empty_set,empty_set,cx) = cx
% 3.40/0.94 & f18(empty_set,empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f18(empty_set,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f18(empty_set,empty_set,cx,cx) = a
% 3.40/0.94 & f18(empty_set,empty_set,cx,a) = cx
% 3.40/0.94 & f18(empty_set,empty_set,a,empty_set) = a
% 3.40/0.94 & f18(empty_set,empty_set,a,cx) = empty_set
% 3.40/0.94 & f18(empty_set,empty_set,a,a) = empty_set
% 3.40/0.94 & f18(empty_set,cx,empty_set,empty_set) = cx
% 3.40/0.94 & f18(empty_set,cx,empty_set,cx) = a
% 3.40/0.94 & f18(empty_set,cx,empty_set,a) = cx
% 3.40/0.94 & f18(empty_set,cx,cx,empty_set) = a
% 3.40/0.94 & f18(empty_set,cx,cx,cx) = a
% 3.40/0.94 & f18(empty_set,cx,cx,a) = cx
% 3.40/0.94 & f18(empty_set,cx,a,empty_set) = cx
% 3.40/0.94 & f18(empty_set,cx,a,cx) = cx
% 3.40/0.94 & f18(empty_set,cx,a,a) = empty_set
% 3.40/0.94 & f18(empty_set,a,empty_set,empty_set) = cx
% 3.40/0.94 & f18(empty_set,a,empty_set,cx) = empty_set
% 3.40/0.94 & f18(empty_set,a,empty_set,a) = a
% 3.40/0.94 & f18(empty_set,a,cx,empty_set) = a
% 3.40/0.94 & f18(empty_set,a,cx,cx) = empty_set
% 3.40/0.94 & f18(empty_set,a,cx,a) = a
% 3.40/0.94 & f18(empty_set,a,a,empty_set) = empty_set
% 3.40/0.94 & f18(empty_set,a,a,cx) = a
% 3.40/0.94 & f18(empty_set,a,a,a) = a
% 3.40/0.94 & f18(cx,empty_set,empty_set,empty_set) = cx
% 3.40/0.94 & f18(cx,empty_set,empty_set,cx) = a
% 3.40/0.94 & f18(cx,empty_set,empty_set,a) = cx
% 3.40/0.94 & f18(cx,empty_set,cx,empty_set) = cx
% 3.40/0.94 & f18(cx,empty_set,cx,cx) = cx
% 3.40/0.94 & f18(cx,empty_set,cx,a) = cx
% 3.40/0.94 & f18(cx,empty_set,a,empty_set) = cx
% 3.40/0.94 & f18(cx,empty_set,a,cx) = empty_set
% 3.40/0.94 & f18(cx,empty_set,a,a) = cx
% 3.40/0.94 & f18(cx,cx,empty_set,empty_set) = empty_set
% 3.40/0.94 & f18(cx,cx,empty_set,cx) = empty_set
% 3.40/0.94 & f18(cx,cx,empty_set,a) = a
% 3.40/0.94 & f18(cx,cx,cx,empty_set) = empty_set
% 3.40/0.94 & f18(cx,cx,cx,cx) = empty_set
% 3.40/0.94 & f18(cx,cx,cx,a) = cx
% 3.40/0.94 & f18(cx,cx,a,empty_set) = cx
% 3.40/0.94 & f18(cx,cx,a,cx) = cx
% 3.40/0.94 & f18(cx,cx,a,a) = cx
% 3.40/0.94 & f18(cx,a,empty_set,empty_set) = cx
% 3.40/0.94 & f18(cx,a,empty_set,cx) = empty_set
% 3.40/0.94 & f18(cx,a,empty_set,a) = cx
% 3.40/0.94 & f18(cx,a,cx,empty_set) = a
% 3.40/0.94 & f18(cx,a,cx,cx) = empty_set
% 3.40/0.94 & f18(cx,a,cx,a) = a
% 3.40/0.94 & f18(cx,a,a,empty_set) = empty_set
% 3.40/0.94 & f18(cx,a,a,cx) = empty_set
% 3.40/0.94 & f18(cx,a,a,a) = empty_set
% 3.40/0.94 & f18(a,empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f18(a,empty_set,empty_set,cx) = empty_set
% 3.40/0.94 & f18(a,empty_set,empty_set,a) = cx
% 3.40/0.94 & f18(a,empty_set,cx,empty_set) = empty_set
% 3.40/0.94 & f18(a,empty_set,cx,cx) = cx
% 3.40/0.94 & f18(a,empty_set,cx,a) = cx
% 3.40/0.94 & f18(a,empty_set,a,empty_set) = empty_set
% 3.40/0.94 & f18(a,empty_set,a,cx) = cx
% 3.40/0.94 & f18(a,empty_set,a,a) = empty_set
% 3.40/0.94 & f18(a,cx,empty_set,empty_set) = empty_set
% 3.40/0.94 & f18(a,cx,empty_set,cx) = cx
% 3.40/0.94 & f18(a,cx,empty_set,a) = empty_set
% 3.40/0.94 & f18(a,cx,cx,empty_set) = cx
% 3.40/0.94 & f18(a,cx,cx,cx) = cx
% 3.40/0.94 & f18(a,cx,cx,a) = cx
% 3.40/0.94 & f18(a,cx,a,empty_set) = empty_set
% 3.40/0.94 & f18(a,cx,a,cx) = cx
% 3.40/0.94 & f18(a,cx,a,a) = empty_set
% 3.40/0.94 & f18(a,a,empty_set,empty_set) = cx
% 3.40/0.94 & f18(a,a,empty_set,cx) = empty_set
% 3.40/0.94 & f18(a,a,empty_set,a) = a
% 3.40/0.94 & f18(a,a,cx,empty_set) = cx
% 3.40/0.94 & f18(a,a,cx,cx) = empty_set
% 3.40/0.94 & f18(a,a,cx,a) = a
% 3.40/0.94 & f18(a,a,a,empty_set) = cx
% 3.40/0.94 & f18(a,a,a,cx) = cx
% 3.40/0.94 & f18(a,a,a,a) = a
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f19,type,f19: $i * $i > $i).
% 3.40/0.94 tff(function_f19,axiom,
% 3.40/0.94 f19(empty_set,empty_set) = cx
% 3.40/0.94 & f19(empty_set,cx) = cx
% 3.40/0.94 & f19(empty_set,a) = empty_set
% 3.40/0.94 & f19(cx,empty_set) = a
% 3.40/0.94 & f19(cx,cx) = cx
% 3.40/0.94 & f19(cx,a) = a
% 3.40/0.94 & f19(a,empty_set) = a
% 3.40/0.94 & f19(a,cx) = a
% 3.40/0.94 & f19(a,a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f20,type,f20: $i * $i > $i).
% 3.40/0.94 tff(function_f20,axiom,
% 3.40/0.94 f20(empty_set,empty_set) = cx
% 3.40/0.94 & f20(empty_set,cx) = cx
% 3.40/0.94 & f20(empty_set,a) = a
% 3.40/0.94 & f20(cx,empty_set) = a
% 3.40/0.94 & f20(cx,cx) = a
% 3.40/0.94 & f20(cx,a) = empty_set
% 3.40/0.94 & f20(a,empty_set) = empty_set
% 3.40/0.94 & f20(a,cx) = cx
% 3.40/0.94 & f20(a,a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_union_of_sets,type,union_of_sets: $i * $i > $i).
% 3.40/0.94 tff(function_union_of_sets,axiom,
% 3.40/0.94 union_of_sets(empty_set,empty_set) = empty_set
% 3.40/0.94 & union_of_sets(empty_set,cx) = a
% 3.40/0.94 & union_of_sets(empty_set,a) = empty_set
% 3.40/0.94 & union_of_sets(cx,empty_set) = empty_set
% 3.40/0.94 & union_of_sets(cx,cx) = a
% 3.40/0.94 & union_of_sets(cx,a) = empty_set
% 3.40/0.94 & union_of_sets(a,empty_set) = a
% 3.40/0.94 & union_of_sets(a,cx) = a
% 3.40/0.94 & union_of_sets(a,a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f21,type,f21: $i * $i > $i).
% 3.40/0.94 tff(function_f21,axiom,
% 3.40/0.94 f21(empty_set,empty_set) = a
% 3.40/0.94 & f21(empty_set,cx) = empty_set
% 3.40/0.94 & f21(empty_set,a) = cx
% 3.40/0.94 & f21(cx,empty_set) = a
% 3.40/0.94 & f21(cx,cx) = empty_set
% 3.40/0.94 & f21(cx,a) = a
% 3.40/0.94 & f21(a,empty_set) = a
% 3.40/0.94 & f21(a,cx) = cx
% 3.40/0.94 & f21(a,a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f22,type,f22: $i * $i > $i).
% 3.40/0.94 tff(function_f22,axiom,
% 3.40/0.94 f22(empty_set,empty_set) = a
% 3.40/0.94 & f22(empty_set,cx) = cx
% 3.40/0.94 & f22(empty_set,a) = cx
% 3.40/0.94 & f22(cx,empty_set) = empty_set
% 3.40/0.94 & f22(cx,cx) = cx
% 3.40/0.94 & f22(cx,a) = empty_set
% 3.40/0.94 & f22(a,empty_set) = cx
% 3.40/0.94 & f22(a,cx) = a
% 3.40/0.94 & f22(a,a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f23,type,f23: $i * $i * $i > $i).
% 3.40/0.94 tff(function_f23,axiom,
% 3.40/0.94 f23(empty_set,empty_set,empty_set) = empty_set
% 3.40/0.94 & f23(empty_set,empty_set,cx) = cx
% 3.40/0.94 & f23(empty_set,empty_set,a) = empty_set
% 3.40/0.94 & f23(empty_set,cx,empty_set) = a
% 3.40/0.94 & f23(empty_set,cx,cx) = a
% 3.40/0.94 & f23(empty_set,cx,a) = empty_set
% 3.40/0.94 & f23(empty_set,a,empty_set) = a
% 3.40/0.94 & f23(empty_set,a,cx) = a
% 3.40/0.94 & f23(empty_set,a,a) = a
% 3.40/0.94 & f23(cx,empty_set,empty_set) = a
% 3.40/0.94 & f23(cx,empty_set,cx) = cx
% 3.40/0.94 & f23(cx,empty_set,a) = empty_set
% 3.40/0.94 & f23(cx,cx,empty_set) = empty_set
% 3.40/0.94 & f23(cx,cx,cx) = a
% 3.40/0.94 & f23(cx,cx,a) = cx
% 3.40/0.94 & f23(cx,a,empty_set) = empty_set
% 3.40/0.94 & f23(cx,a,cx) = cx
% 3.40/0.94 & f23(cx,a,a) = a
% 3.40/0.94 & f23(a,empty_set,empty_set) = a
% 3.40/0.94 & f23(a,empty_set,cx) = a
% 3.40/0.94 & f23(a,empty_set,a) = a
% 3.40/0.94 & f23(a,cx,empty_set) = cx
% 3.40/0.94 & f23(a,cx,cx) = cx
% 3.40/0.94 & f23(a,cx,a) = empty_set
% 3.40/0.94 & f23(a,a,empty_set) = empty_set
% 3.40/0.94 & f23(a,a,cx) = cx
% 3.40/0.94 & f23(a,a,a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f24,type,f24: $i * $i > $i).
% 3.40/0.94 tff(function_f24,axiom,
% 3.40/0.94 f24(empty_set,empty_set) = cx
% 3.40/0.94 & f24(empty_set,cx) = empty_set
% 3.40/0.94 & f24(empty_set,a) = a
% 3.40/0.94 & f24(cx,empty_set) = empty_set
% 3.40/0.94 & f24(cx,cx) = cx
% 3.40/0.94 & f24(cx,a) = empty_set
% 3.40/0.94 & f24(a,empty_set) = cx
% 3.40/0.94 & f24(a,cx) = empty_set
% 3.40/0.94 & f24(a,a) = cx
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_f30,type,f30: $i > $i).
% 3.40/0.94 tff(function_f30,axiom,
% 3.40/0.94 f30(empty_set) = cx
% 3.40/0.94 & f30(cx) = cx
% 3.40/0.94 & f30(a) = empty_set
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_element_of_set,type,element_of_set: $i * $i > $o ).
% 3.40/0.94 tff(predicate_element_of_set,axiom,
% 3.40/0.94 element_of_set(empty_set,empty_set)
% 3.40/0.94 & ~element_of_set(empty_set,cx)
% 3.40/0.94 & ~element_of_set(empty_set,a)
% 3.40/0.94 & element_of_set(cx,empty_set)
% 3.40/0.94 & ~element_of_set(cx,cx)
% 3.40/0.94 & ~element_of_set(cx,a)
% 3.40/0.94 & element_of_set(a,empty_set)
% 3.40/0.94 & ~element_of_set(a,cx)
% 3.40/0.94 & ~element_of_set(a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_element_of_collection,type,element_of_collection: $i * $i > $o ).
% 3.40/0.94 tff(predicate_element_of_collection,axiom,
% 3.40/0.94 element_of_collection(empty_set,empty_set)
% 3.40/0.94 & ~element_of_collection(empty_set,cx)
% 3.40/0.94 & ~element_of_collection(empty_set,a)
% 3.40/0.94 & element_of_collection(cx,empty_set)
% 3.40/0.94 & element_of_collection(cx,cx)
% 3.40/0.94 & ~element_of_collection(cx,a)
% 3.40/0.94 & ~element_of_collection(a,empty_set)
% 3.40/0.94 & element_of_collection(a,cx)
% 3.40/0.94 & ~element_of_collection(a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_topological_space,type,topological_space: $i * $i > $o ).
% 3.40/0.94 tff(predicate_topological_space,axiom,
% 3.40/0.94 ~topological_space(empty_set,empty_set)
% 3.40/0.94 & ~topological_space(empty_set,cx)
% 3.40/0.94 & ~topological_space(empty_set,a)
% 3.40/0.94 & topological_space(cx,empty_set)
% 3.40/0.94 & ~topological_space(cx,cx)
% 3.40/0.94 & ~topological_space(cx,a)
% 3.40/0.94 & ~topological_space(a,empty_set)
% 3.40/0.94 & ~topological_space(a,cx)
% 3.40/0.94 & ~topological_space(a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_equal_sets,type,equal_sets: $i * $i > $o ).
% 3.40/0.94 tff(predicate_equal_sets,axiom,
% 3.40/0.94 ~equal_sets(empty_set,empty_set)
% 3.40/0.94 & equal_sets(empty_set,cx)
% 3.40/0.94 & ~equal_sets(empty_set,a)
% 3.40/0.94 & ~equal_sets(cx,empty_set)
% 3.40/0.94 & ~equal_sets(cx,cx)
% 3.40/0.94 & ~equal_sets(cx,a)
% 3.40/0.94 & ~equal_sets(a,empty_set)
% 3.40/0.94 & equal_sets(a,cx)
% 3.40/0.94 & ~equal_sets(a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_subset_collections,type,subset_collections: $i * $i > $o ).
% 3.40/0.94 tff(predicate_subset_collections,axiom,
% 3.40/0.94 ~subset_collections(empty_set,empty_set)
% 3.40/0.94 & subset_collections(empty_set,cx)
% 3.40/0.94 & subset_collections(empty_set,a)
% 3.40/0.94 & ~subset_collections(cx,empty_set)
% 3.40/0.94 & subset_collections(cx,cx)
% 3.40/0.94 & ~subset_collections(cx,a)
% 3.40/0.94 & ~subset_collections(a,empty_set)
% 3.40/0.94 & ~subset_collections(a,cx)
% 3.40/0.94 & ~subset_collections(a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_open,type,open: $i * $i * $i > $o ).
% 3.40/0.94 tff(predicate_open,axiom,
% 3.40/0.94 ~open(empty_set,empty_set,empty_set)
% 3.40/0.94 & ~open(empty_set,empty_set,cx)
% 3.40/0.94 & ~open(empty_set,empty_set,a)
% 3.40/0.94 & open(empty_set,cx,empty_set)
% 3.40/0.94 & ~open(empty_set,cx,cx)
% 3.40/0.94 & ~open(empty_set,cx,a)
% 3.40/0.94 & ~open(empty_set,a,empty_set)
% 3.40/0.94 & ~open(empty_set,a,cx)
% 3.40/0.94 & ~open(empty_set,a,a)
% 3.40/0.94 & ~open(cx,empty_set,empty_set)
% 3.40/0.94 & ~open(cx,empty_set,cx)
% 3.40/0.94 & ~open(cx,empty_set,a)
% 3.40/0.94 & open(cx,cx,empty_set)
% 3.40/0.94 & ~open(cx,cx,cx)
% 3.40/0.94 & ~open(cx,cx,a)
% 3.40/0.94 & ~open(cx,a,empty_set)
% 3.40/0.94 & ~open(cx,a,cx)
% 3.40/0.94 & ~open(cx,a,a)
% 3.40/0.94 & ~open(a,empty_set,empty_set)
% 3.40/0.94 & ~open(a,empty_set,cx)
% 3.40/0.94 & ~open(a,empty_set,a)
% 3.40/0.94 & ~open(a,cx,empty_set)
% 3.40/0.94 & ~open(a,cx,cx)
% 3.40/0.94 & ~open(a,cx,a)
% 3.40/0.94 & ~open(a,a,empty_set)
% 3.40/0.94 & ~open(a,a,cx)
% 3.40/0.94 & ~open(a,a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_closed,type,closed: $i * $i * $i > $o ).
% 3.40/0.94 tff(predicate_closed,axiom,
% 3.40/0.94 ~closed(empty_set,empty_set,empty_set)
% 3.40/0.94 & ~closed(empty_set,empty_set,cx)
% 3.40/0.94 & ~closed(empty_set,empty_set,a)
% 3.40/0.94 & closed(empty_set,cx,empty_set)
% 3.40/0.94 & ~closed(empty_set,cx,cx)
% 3.40/0.94 & ~closed(empty_set,cx,a)
% 3.40/0.94 & ~closed(empty_set,a,empty_set)
% 3.40/0.94 & ~closed(empty_set,a,cx)
% 3.40/0.94 & ~closed(empty_set,a,a)
% 3.40/0.94 & ~closed(cx,empty_set,empty_set)
% 3.40/0.94 & ~closed(cx,empty_set,cx)
% 3.40/0.94 & ~closed(cx,empty_set,a)
% 3.40/0.94 & closed(cx,cx,empty_set)
% 3.40/0.94 & ~closed(cx,cx,cx)
% 3.40/0.94 & ~closed(cx,cx,a)
% 3.40/0.94 & ~closed(cx,a,empty_set)
% 3.40/0.94 & ~closed(cx,a,cx)
% 3.40/0.94 & ~closed(cx,a,a)
% 3.40/0.94 & ~closed(a,empty_set,empty_set)
% 3.40/0.94 & ~closed(a,empty_set,cx)
% 3.40/0.94 & ~closed(a,empty_set,a)
% 3.40/0.94 & closed(a,cx,empty_set)
% 3.40/0.94 & ~closed(a,cx,cx)
% 3.40/0.94 & ~closed(a,cx,a)
% 3.40/0.94 & ~closed(a,a,empty_set)
% 3.40/0.94 & ~closed(a,a,cx)
% 3.40/0.94 & ~closed(a,a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_finer,type,finer: $i * $i * $i > $o ).
% 3.40/0.94 tff(predicate_finer,axiom,
% 3.40/0.94 ~finer(empty_set,empty_set,empty_set)
% 3.40/0.94 % finer(empty_set,empty_set,cx) undefined in model
% 3.40/0.94 % finer(empty_set,empty_set,a) undefined in model
% 3.40/0.94 % finer(empty_set,cx,empty_set) undefined in model
% 3.40/0.94 % finer(empty_set,cx,cx) undefined in model
% 3.40/0.94 % finer(empty_set,cx,a) undefined in model
% 3.40/0.94 % finer(empty_set,a,empty_set) undefined in model
% 3.40/0.94 % finer(empty_set,a,cx) undefined in model
% 3.40/0.94 % finer(empty_set,a,a) undefined in model
% 3.40/0.94 % finer(cx,empty_set,empty_set) undefined in model
% 3.40/0.94 % finer(cx,empty_set,cx) undefined in model
% 3.40/0.94 % finer(cx,empty_set,a) undefined in model
% 3.40/0.94 % finer(cx,cx,empty_set) undefined in model
% 3.40/0.94 % finer(cx,cx,cx) undefined in model
% 3.40/0.94 % finer(cx,cx,a) undefined in model
% 3.40/0.94 % finer(cx,a,empty_set) undefined in model
% 3.40/0.94 % finer(cx,a,cx) undefined in model
% 3.40/0.94 % finer(cx,a,a) undefined in model
% 3.40/0.94 % finer(a,empty_set,empty_set) undefined in model
% 3.40/0.94 % finer(a,empty_set,cx) undefined in model
% 3.40/0.94 % finer(a,empty_set,a) undefined in model
% 3.40/0.94 % finer(a,cx,empty_set) undefined in model
% 3.40/0.94 % finer(a,cx,cx) undefined in model
% 3.40/0.94 % finer(a,cx,a) undefined in model
% 3.40/0.94 % finer(a,a,empty_set) undefined in model
% 3.40/0.94 % finer(a,a,cx) undefined in model
% 3.40/0.94 % finer(a,a,a) undefined in model
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_basis,type,basis: $i * $i > $o ).
% 3.40/0.94 tff(predicate_basis,axiom,
% 3.40/0.94 ~basis(empty_set,empty_set)
% 3.40/0.94 & ~basis(empty_set,cx)
% 3.40/0.94 & basis(empty_set,a)
% 3.40/0.94 & basis(cx,empty_set)
% 3.40/0.94 & basis(cx,cx)
% 3.40/0.94 & basis(cx,a)
% 3.40/0.94 & basis(a,empty_set)
% 3.40/0.94 & basis(a,cx)
% 3.40/0.94 & basis(a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_subset_sets,type,subset_sets: $i * $i > $o ).
% 3.40/0.94 tff(predicate_subset_sets,axiom,
% 3.40/0.94 ~subset_sets(empty_set,empty_set)
% 3.40/0.94 & ~subset_sets(empty_set,cx)
% 3.40/0.94 & ~subset_sets(empty_set,a)
% 3.40/0.94 & subset_sets(cx,empty_set)
% 3.40/0.94 & ~subset_sets(cx,cx)
% 3.40/0.94 & subset_sets(cx,a)
% 3.40/0.94 & subset_sets(a,empty_set)
% 3.40/0.94 & subset_sets(a,cx)
% 3.40/0.94 & ~subset_sets(a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_neighborhood,type,neighborhood: $i * $i * $i * $i > $o ).
% 3.40/0.94 tff(predicate_neighborhood,axiom,
% 3.40/0.94 ~neighborhood(empty_set,empty_set,empty_set,empty_set)
% 3.40/0.94 & ~neighborhood(empty_set,empty_set,empty_set,cx)
% 3.40/0.94 & ~neighborhood(empty_set,empty_set,empty_set,a)
% 3.40/0.94 & neighborhood(empty_set,empty_set,cx,empty_set)
% 3.40/0.94 & ~neighborhood(empty_set,empty_set,cx,cx)
% 3.40/0.94 & ~neighborhood(empty_set,empty_set,cx,a)
% 3.40/0.94 & ~neighborhood(empty_set,empty_set,a,empty_set)
% 3.40/0.94 & ~neighborhood(empty_set,empty_set,a,cx)
% 3.40/0.94 & ~neighborhood(empty_set,empty_set,a,a)
% 3.40/0.94 & ~neighborhood(empty_set,cx,empty_set,empty_set)
% 3.40/0.94 & ~neighborhood(empty_set,cx,empty_set,cx)
% 3.40/0.94 & ~neighborhood(empty_set,cx,empty_set,a)
% 3.40/0.94 & neighborhood(empty_set,cx,cx,empty_set)
% 3.40/0.94 & ~neighborhood(empty_set,cx,cx,cx)
% 3.40/0.94 & ~neighborhood(empty_set,cx,cx,a)
% 3.40/0.94 & ~neighborhood(empty_set,cx,a,empty_set)
% 3.40/0.94 & ~neighborhood(empty_set,cx,a,cx)
% 3.40/0.94 & ~neighborhood(empty_set,cx,a,a)
% 3.40/0.94 & ~neighborhood(empty_set,a,empty_set,empty_set)
% 3.40/0.94 & ~neighborhood(empty_set,a,empty_set,cx)
% 3.40/0.94 & ~neighborhood(empty_set,a,empty_set,a)
% 3.40/0.94 & neighborhood(empty_set,a,cx,empty_set)
% 3.40/0.94 & ~neighborhood(empty_set,a,cx,cx)
% 3.40/0.94 & ~neighborhood(empty_set,a,cx,a)
% 3.40/0.94 & ~neighborhood(empty_set,a,a,empty_set)
% 3.40/0.94 & ~neighborhood(empty_set,a,a,cx)
% 3.40/0.94 & ~neighborhood(empty_set,a,a,a)
% 3.40/0.94 & ~neighborhood(cx,empty_set,empty_set,empty_set)
% 3.40/0.94 & ~neighborhood(cx,empty_set,empty_set,cx)
% 3.40/0.94 & ~neighborhood(cx,empty_set,empty_set,a)
% 3.40/0.94 & ~neighborhood(cx,empty_set,cx,empty_set)
% 3.40/0.94 & ~neighborhood(cx,empty_set,cx,cx)
% 3.40/0.94 & ~neighborhood(cx,empty_set,cx,a)
% 3.40/0.94 & ~neighborhood(cx,empty_set,a,empty_set)
% 3.40/0.94 & ~neighborhood(cx,empty_set,a,cx)
% 3.40/0.94 & ~neighborhood(cx,empty_set,a,a)
% 3.40/0.94 & ~neighborhood(cx,cx,empty_set,empty_set)
% 3.40/0.94 & ~neighborhood(cx,cx,empty_set,cx)
% 3.40/0.94 & ~neighborhood(cx,cx,empty_set,a)
% 3.40/0.94 & ~neighborhood(cx,cx,cx,empty_set)
% 3.40/0.94 & ~neighborhood(cx,cx,cx,cx)
% 3.40/0.94 & ~neighborhood(cx,cx,cx,a)
% 3.40/0.94 & ~neighborhood(cx,cx,a,empty_set)
% 3.40/0.94 & ~neighborhood(cx,cx,a,cx)
% 3.40/0.94 & ~neighborhood(cx,cx,a,a)
% 3.40/0.94 & ~neighborhood(cx,a,empty_set,empty_set)
% 3.40/0.94 & ~neighborhood(cx,a,empty_set,cx)
% 3.40/0.94 & ~neighborhood(cx,a,empty_set,a)
% 3.40/0.94 & ~neighborhood(cx,a,cx,empty_set)
% 3.40/0.94 & ~neighborhood(cx,a,cx,cx)
% 3.40/0.94 & ~neighborhood(cx,a,cx,a)
% 3.40/0.94 & ~neighborhood(cx,a,a,empty_set)
% 3.40/0.94 & ~neighborhood(cx,a,a,cx)
% 3.40/0.94 & ~neighborhood(cx,a,a,a)
% 3.40/0.94 & ~neighborhood(a,empty_set,empty_set,empty_set)
% 3.40/0.94 & ~neighborhood(a,empty_set,empty_set,cx)
% 3.40/0.94 & ~neighborhood(a,empty_set,empty_set,a)
% 3.40/0.94 & ~neighborhood(a,empty_set,cx,empty_set)
% 3.40/0.94 & ~neighborhood(a,empty_set,cx,cx)
% 3.40/0.94 & ~neighborhood(a,empty_set,cx,a)
% 3.40/0.94 & ~neighborhood(a,empty_set,a,empty_set)
% 3.40/0.94 & ~neighborhood(a,empty_set,a,cx)
% 3.40/0.94 & ~neighborhood(a,empty_set,a,a)
% 3.40/0.94 & ~neighborhood(a,cx,empty_set,empty_set)
% 3.40/0.94 & ~neighborhood(a,cx,empty_set,cx)
% 3.40/0.94 & ~neighborhood(a,cx,empty_set,a)
% 3.40/0.94 & ~neighborhood(a,cx,cx,empty_set)
% 3.40/0.94 & ~neighborhood(a,cx,cx,cx)
% 3.40/0.94 & ~neighborhood(a,cx,cx,a)
% 3.40/0.94 & ~neighborhood(a,cx,a,empty_set)
% 3.40/0.94 & ~neighborhood(a,cx,a,cx)
% 3.40/0.94 & ~neighborhood(a,cx,a,a)
% 3.40/0.94 & ~neighborhood(a,a,empty_set,empty_set)
% 3.40/0.94 & ~neighborhood(a,a,empty_set,cx)
% 3.40/0.94 & ~neighborhood(a,a,empty_set,a)
% 3.40/0.94 & ~neighborhood(a,a,cx,empty_set)
% 3.40/0.94 & ~neighborhood(a,a,cx,cx)
% 3.40/0.94 & ~neighborhood(a,a,cx,a)
% 3.40/0.94 & ~neighborhood(a,a,a,empty_set)
% 3.40/0.94 & ~neighborhood(a,a,a,cx)
% 3.40/0.94 & ~neighborhood(a,a,a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_limit_point,type,limit_point: $i * $i * $i * $i > $o ).
% 3.40/0.94 tff(predicate_limit_point,axiom,
% 3.40/0.94 limit_point(empty_set,empty_set,empty_set,empty_set)
% 3.40/0.94 & limit_point(empty_set,empty_set,empty_set,cx)
% 3.40/0.94 & ~limit_point(empty_set,empty_set,empty_set,a)
% 3.40/0.94 & ~limit_point(empty_set,empty_set,cx,empty_set)
% 3.40/0.94 & limit_point(empty_set,empty_set,cx,cx)
% 3.40/0.94 & ~limit_point(empty_set,empty_set,cx,a)
% 3.40/0.94 & limit_point(empty_set,empty_set,a,empty_set)
% 3.40/0.94 & ~limit_point(empty_set,empty_set,a,cx)
% 3.40/0.94 & limit_point(empty_set,empty_set,a,a)
% 3.40/0.94 & limit_point(empty_set,cx,empty_set,empty_set)
% 3.40/0.94 & limit_point(empty_set,cx,empty_set,cx)
% 3.40/0.94 & ~limit_point(empty_set,cx,empty_set,a)
% 3.40/0.94 & ~limit_point(empty_set,cx,cx,empty_set)
% 3.40/0.94 & limit_point(empty_set,cx,cx,cx)
% 3.40/0.94 & ~limit_point(empty_set,cx,cx,a)
% 3.40/0.94 & limit_point(empty_set,cx,a,empty_set)
% 3.40/0.94 & limit_point(empty_set,cx,a,cx)
% 3.40/0.94 & ~limit_point(empty_set,cx,a,a)
% 3.40/0.94 & ~limit_point(empty_set,a,empty_set,empty_set)
% 3.40/0.94 & limit_point(empty_set,a,empty_set,cx)
% 3.40/0.94 & ~limit_point(empty_set,a,empty_set,a)
% 3.40/0.94 & limit_point(empty_set,a,cx,empty_set)
% 3.40/0.94 & limit_point(empty_set,a,cx,cx)
% 3.40/0.94 & ~limit_point(empty_set,a,cx,a)
% 3.40/0.94 & limit_point(empty_set,a,a,empty_set)
% 3.40/0.94 & ~limit_point(empty_set,a,a,cx)
% 3.40/0.94 & ~limit_point(empty_set,a,a,a)
% 3.40/0.94 & ~limit_point(cx,empty_set,empty_set,empty_set)
% 3.40/0.94 & ~limit_point(cx,empty_set,empty_set,cx)
% 3.40/0.94 & limit_point(cx,empty_set,empty_set,a)
% 3.40/0.94 & ~limit_point(cx,empty_set,cx,empty_set)
% 3.40/0.94 & ~limit_point(cx,empty_set,cx,cx)
% 3.40/0.94 & ~limit_point(cx,empty_set,cx,a)
% 3.40/0.94 & limit_point(cx,empty_set,a,empty_set)
% 3.40/0.94 & ~limit_point(cx,empty_set,a,cx)
% 3.40/0.94 & limit_point(cx,empty_set,a,a)
% 3.40/0.94 & limit_point(cx,cx,empty_set,empty_set)
% 3.40/0.94 & limit_point(cx,cx,empty_set,cx)
% 3.40/0.94 & limit_point(cx,cx,empty_set,a)
% 3.40/0.94 & ~limit_point(cx,cx,cx,empty_set)
% 3.40/0.94 & ~limit_point(cx,cx,cx,cx)
% 3.40/0.94 & ~limit_point(cx,cx,cx,a)
% 3.40/0.94 & limit_point(cx,cx,a,empty_set)
% 3.40/0.94 & ~limit_point(cx,cx,a,cx)
% 3.40/0.94 & ~limit_point(cx,cx,a,a)
% 3.40/0.94 & limit_point(cx,a,empty_set,empty_set)
% 3.40/0.94 & limit_point(cx,a,empty_set,cx)
% 3.40/0.94 & limit_point(cx,a,empty_set,a)
% 3.40/0.94 & ~limit_point(cx,a,cx,empty_set)
% 3.40/0.94 & limit_point(cx,a,cx,cx)
% 3.40/0.94 & ~limit_point(cx,a,cx,a)
% 3.40/0.94 & ~limit_point(cx,a,a,empty_set)
% 3.40/0.94 & limit_point(cx,a,a,cx)
% 3.40/0.94 & ~limit_point(cx,a,a,a)
% 3.40/0.94 & limit_point(a,empty_set,empty_set,empty_set)
% 3.40/0.94 & ~limit_point(a,empty_set,empty_set,cx)
% 3.40/0.94 & limit_point(a,empty_set,empty_set,a)
% 3.40/0.94 & ~limit_point(a,empty_set,cx,empty_set)
% 3.40/0.94 & ~limit_point(a,empty_set,cx,cx)
% 3.40/0.94 & limit_point(a,empty_set,cx,a)
% 3.40/0.94 & ~limit_point(a,empty_set,a,empty_set)
% 3.40/0.94 & limit_point(a,empty_set,a,cx)
% 3.40/0.94 & ~limit_point(a,empty_set,a,a)
% 3.40/0.94 & ~limit_point(a,cx,empty_set,empty_set)
% 3.40/0.94 & limit_point(a,cx,empty_set,cx)
% 3.40/0.94 & limit_point(a,cx,empty_set,a)
% 3.40/0.94 & ~limit_point(a,cx,cx,empty_set)
% 3.40/0.94 & limit_point(a,cx,cx,cx)
% 3.40/0.94 & limit_point(a,cx,cx,a)
% 3.40/0.94 & limit_point(a,cx,a,empty_set)
% 3.40/0.94 & limit_point(a,cx,a,cx)
% 3.40/0.94 & ~limit_point(a,cx,a,a)
% 3.40/0.94 & limit_point(a,a,empty_set,empty_set)
% 3.40/0.94 & ~limit_point(a,a,empty_set,cx)
% 3.40/0.94 & limit_point(a,a,empty_set,a)
% 3.40/0.94 & ~limit_point(a,a,cx,empty_set)
% 3.40/0.94 & limit_point(a,a,cx,cx)
% 3.40/0.94 & limit_point(a,a,cx,a)
% 3.40/0.94 & limit_point(a,a,a,empty_set)
% 3.40/0.94 & limit_point(a,a,a,cx)
% 3.40/0.94 & ~limit_point(a,a,a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_eq_p,type,eq_p: $i * $i > $o ).
% 3.40/0.94 tff(predicate_eq_p,axiom,
% 3.40/0.94 eq_p(empty_set,empty_set)
% 3.40/0.94 & eq_p(empty_set,cx)
% 3.40/0.94 & eq_p(empty_set,a)
% 3.40/0.94 & eq_p(cx,empty_set)
% 3.40/0.94 & eq_p(cx,cx)
% 3.40/0.94 & eq_p(cx,a)
% 3.40/0.94 & ~eq_p(a,empty_set)
% 3.40/0.94 & eq_p(a,cx)
% 3.40/0.94 & eq_p(a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_hausdorff,type,hausdorff: $i * $i > $o ).
% 3.40/0.94 tff(predicate_hausdorff,axiom,
% 3.40/0.94 ~hausdorff(empty_set,empty_set)
% 3.40/0.94 & ~hausdorff(empty_set,cx)
% 3.40/0.94 & ~hausdorff(empty_set,a)
% 3.40/0.94 & hausdorff(cx,empty_set)
% 3.40/0.94 & ~hausdorff(cx,cx)
% 3.40/0.94 & hausdorff(cx,a)
% 3.40/0.94 & ~hausdorff(a,empty_set)
% 3.40/0.94 & hausdorff(a,cx)
% 3.40/0.94 & ~hausdorff(a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_disjoint_s,type,disjoint_s: $i * $i > $o ).
% 3.40/0.94 tff(predicate_disjoint_s,axiom,
% 3.40/0.94 ~disjoint_s(empty_set,empty_set)
% 3.40/0.94 & ~disjoint_s(empty_set,cx)
% 3.40/0.94 & ~disjoint_s(empty_set,a)
% 3.40/0.94 & ~disjoint_s(cx,empty_set)
% 3.40/0.94 & ~disjoint_s(cx,cx)
% 3.40/0.94 & ~disjoint_s(cx,a)
% 3.40/0.94 & ~disjoint_s(a,empty_set)
% 3.40/0.94 & ~disjoint_s(a,cx)
% 3.40/0.94 & ~disjoint_s(a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_separation,type,separation: $i * $i * $i * $i > $o ).
% 3.40/0.94 tff(predicate_separation,axiom,
% 3.40/0.94 ~separation(empty_set,empty_set,empty_set,empty_set)
% 3.40/0.94 & ~separation(empty_set,empty_set,empty_set,cx)
% 3.40/0.94 & ~separation(empty_set,empty_set,empty_set,a)
% 3.40/0.94 & ~separation(empty_set,empty_set,cx,empty_set)
% 3.40/0.94 & ~separation(empty_set,empty_set,cx,cx)
% 3.40/0.94 & ~separation(empty_set,empty_set,cx,a)
% 3.40/0.94 & ~separation(empty_set,empty_set,a,empty_set)
% 3.40/0.94 & ~separation(empty_set,empty_set,a,cx)
% 3.40/0.94 & ~separation(empty_set,empty_set,a,a)
% 3.40/0.94 & ~separation(empty_set,cx,empty_set,empty_set)
% 3.40/0.94 & ~separation(empty_set,cx,empty_set,cx)
% 3.40/0.94 & ~separation(empty_set,cx,empty_set,a)
% 3.40/0.94 & ~separation(empty_set,cx,cx,empty_set)
% 3.40/0.94 & ~separation(empty_set,cx,cx,cx)
% 3.40/0.94 & ~separation(empty_set,cx,cx,a)
% 3.40/0.94 & ~separation(empty_set,cx,a,empty_set)
% 3.40/0.94 & ~separation(empty_set,cx,a,cx)
% 3.40/0.94 & ~separation(empty_set,cx,a,a)
% 3.40/0.94 & ~separation(empty_set,a,empty_set,empty_set)
% 3.40/0.94 & ~separation(empty_set,a,empty_set,cx)
% 3.40/0.94 & ~separation(empty_set,a,empty_set,a)
% 3.40/0.94 & ~separation(empty_set,a,cx,empty_set)
% 3.40/0.94 & ~separation(empty_set,a,cx,cx)
% 3.40/0.94 & ~separation(empty_set,a,cx,a)
% 3.40/0.94 & ~separation(empty_set,a,a,empty_set)
% 3.40/0.94 & ~separation(empty_set,a,a,cx)
% 3.40/0.94 & ~separation(empty_set,a,a,a)
% 3.40/0.94 & ~separation(cx,empty_set,empty_set,empty_set)
% 3.40/0.94 & ~separation(cx,empty_set,empty_set,cx)
% 3.40/0.94 & ~separation(cx,empty_set,empty_set,a)
% 3.40/0.94 & ~separation(cx,empty_set,cx,empty_set)
% 3.40/0.94 & ~separation(cx,empty_set,cx,cx)
% 3.40/0.94 & ~separation(cx,empty_set,cx,a)
% 3.40/0.94 & ~separation(cx,empty_set,a,empty_set)
% 3.40/0.94 & ~separation(cx,empty_set,a,cx)
% 3.40/0.94 & ~separation(cx,empty_set,a,a)
% 3.40/0.94 & ~separation(cx,cx,empty_set,empty_set)
% 3.40/0.94 & ~separation(cx,cx,empty_set,cx)
% 3.40/0.94 & ~separation(cx,cx,empty_set,a)
% 3.40/0.94 & ~separation(cx,cx,cx,empty_set)
% 3.40/0.94 & ~separation(cx,cx,cx,cx)
% 3.40/0.94 & ~separation(cx,cx,cx,a)
% 3.40/0.94 & ~separation(cx,cx,a,empty_set)
% 3.40/0.94 & ~separation(cx,cx,a,cx)
% 3.40/0.94 & ~separation(cx,cx,a,a)
% 3.40/0.94 & ~separation(cx,a,empty_set,empty_set)
% 3.40/0.94 & ~separation(cx,a,empty_set,cx)
% 3.40/0.94 & ~separation(cx,a,empty_set,a)
% 3.40/0.94 & ~separation(cx,a,cx,empty_set)
% 3.40/0.94 & ~separation(cx,a,cx,cx)
% 3.40/0.94 & ~separation(cx,a,cx,a)
% 3.40/0.94 & ~separation(cx,a,a,empty_set)
% 3.40/0.94 & ~separation(cx,a,a,cx)
% 3.40/0.94 & ~separation(cx,a,a,a)
% 3.40/0.94 & ~separation(a,empty_set,empty_set,empty_set)
% 3.40/0.94 & ~separation(a,empty_set,empty_set,cx)
% 3.40/0.94 & ~separation(a,empty_set,empty_set,a)
% 3.40/0.94 & ~separation(a,empty_set,cx,empty_set)
% 3.40/0.94 & ~separation(a,empty_set,cx,cx)
% 3.40/0.94 & ~separation(a,empty_set,cx,a)
% 3.40/0.94 & ~separation(a,empty_set,a,empty_set)
% 3.40/0.94 & ~separation(a,empty_set,a,cx)
% 3.40/0.94 & ~separation(a,empty_set,a,a)
% 3.40/0.94 & ~separation(a,cx,empty_set,empty_set)
% 3.40/0.94 & ~separation(a,cx,empty_set,cx)
% 3.40/0.94 & ~separation(a,cx,empty_set,a)
% 3.40/0.94 & ~separation(a,cx,cx,empty_set)
% 3.40/0.94 & ~separation(a,cx,cx,cx)
% 3.40/0.94 & ~separation(a,cx,cx,a)
% 3.40/0.94 & ~separation(a,cx,a,empty_set)
% 3.40/0.94 & ~separation(a,cx,a,cx)
% 3.40/0.94 & ~separation(a,cx,a,a)
% 3.40/0.94 & ~separation(a,a,empty_set,empty_set)
% 3.40/0.94 & ~separation(a,a,empty_set,cx)
% 3.40/0.94 & ~separation(a,a,empty_set,a)
% 3.40/0.94 & ~separation(a,a,cx,empty_set)
% 3.40/0.94 & ~separation(a,a,cx,cx)
% 3.40/0.94 & ~separation(a,a,cx,a)
% 3.40/0.94 & ~separation(a,a,a,empty_set)
% 3.40/0.94 & ~separation(a,a,a,cx)
% 3.40/0.94 & ~separation(a,a,a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_connected_space,type,connected_space: $i * $i > $o ).
% 3.40/0.94 tff(predicate_connected_space,axiom,
% 3.40/0.94 ~connected_space(empty_set,empty_set)
% 3.40/0.94 & ~connected_space(empty_set,cx)
% 3.40/0.94 & ~connected_space(empty_set,a)
% 3.40/0.94 & connected_space(cx,empty_set)
% 3.40/0.94 & ~connected_space(cx,cx)
% 3.40/0.94 & ~connected_space(cx,a)
% 3.40/0.94 & ~connected_space(a,empty_set)
% 3.40/0.94 & ~connected_space(a,cx)
% 3.40/0.94 & ~connected_space(a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_connected_set,type,connected_set: $i * $i * $i > $o ).
% 3.40/0.94 tff(predicate_connected_set,axiom,
% 3.40/0.94 ~connected_set(empty_set,empty_set,empty_set)
% 3.40/0.94 % connected_set(empty_set,empty_set,cx) undefined in model
% 3.40/0.94 % connected_set(empty_set,empty_set,a) undefined in model
% 3.40/0.94 % connected_set(empty_set,cx,empty_set) undefined in model
% 3.40/0.94 % connected_set(empty_set,cx,cx) undefined in model
% 3.40/0.94 % connected_set(empty_set,cx,a) undefined in model
% 3.40/0.94 % connected_set(empty_set,a,empty_set) undefined in model
% 3.40/0.94 % connected_set(empty_set,a,cx) undefined in model
% 3.40/0.94 % connected_set(empty_set,a,a) undefined in model
% 3.40/0.94 % connected_set(cx,empty_set,empty_set) undefined in model
% 3.40/0.94 % connected_set(cx,empty_set,cx) undefined in model
% 3.40/0.94 % connected_set(cx,empty_set,a) undefined in model
% 3.40/0.94 % connected_set(cx,cx,empty_set) undefined in model
% 3.40/0.94 % connected_set(cx,cx,cx) undefined in model
% 3.40/0.94 % connected_set(cx,cx,a) undefined in model
% 3.40/0.94 % connected_set(cx,a,empty_set) undefined in model
% 3.40/0.94 % connected_set(cx,a,cx) undefined in model
% 3.40/0.94 % connected_set(cx,a,a) undefined in model
% 3.40/0.94 % connected_set(a,empty_set,empty_set) undefined in model
% 3.40/0.94 % connected_set(a,empty_set,cx) undefined in model
% 3.40/0.94 % connected_set(a,empty_set,a) undefined in model
% 3.40/0.94 % connected_set(a,cx,empty_set) undefined in model
% 3.40/0.94 % connected_set(a,cx,cx) undefined in model
% 3.40/0.94 % connected_set(a,cx,a) undefined in model
% 3.40/0.94 % connected_set(a,a,empty_set) undefined in model
% 3.40/0.94 % connected_set(a,a,cx) undefined in model
% 3.40/0.94 % connected_set(a,a,a) undefined in model
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_open_covering,type,open_covering: $i * $i * $i > $o ).
% 3.40/0.94 tff(predicate_open_covering,axiom,
% 3.40/0.94 ~open_covering(empty_set,empty_set,empty_set)
% 3.40/0.94 & ~open_covering(empty_set,empty_set,cx)
% 3.40/0.94 & ~open_covering(empty_set,empty_set,a)
% 3.40/0.94 & ~open_covering(empty_set,cx,empty_set)
% 3.40/0.94 & ~open_covering(empty_set,cx,cx)
% 3.40/0.94 & ~open_covering(empty_set,cx,a)
% 3.40/0.94 & ~open_covering(empty_set,a,empty_set)
% 3.40/0.94 & ~open_covering(empty_set,a,cx)
% 3.40/0.94 & ~open_covering(empty_set,a,a)
% 3.40/0.94 & ~open_covering(cx,empty_set,empty_set)
% 3.40/0.94 & ~open_covering(cx,empty_set,cx)
% 3.40/0.94 & ~open_covering(cx,empty_set,a)
% 3.40/0.94 & ~open_covering(cx,cx,empty_set)
% 3.40/0.94 & ~open_covering(cx,cx,cx)
% 3.40/0.94 & ~open_covering(cx,cx,a)
% 3.40/0.94 & ~open_covering(cx,a,empty_set)
% 3.40/0.94 & ~open_covering(cx,a,cx)
% 3.40/0.94 & ~open_covering(cx,a,a)
% 3.40/0.94 & ~open_covering(a,empty_set,empty_set)
% 3.40/0.94 & ~open_covering(a,empty_set,cx)
% 3.40/0.94 & ~open_covering(a,empty_set,a)
% 3.40/0.94 & ~open_covering(a,cx,empty_set)
% 3.40/0.94 & ~open_covering(a,cx,cx)
% 3.40/0.94 & ~open_covering(a,cx,a)
% 3.40/0.94 & ~open_covering(a,a,empty_set)
% 3.40/0.94 & ~open_covering(a,a,cx)
% 3.40/0.94 & ~open_covering(a,a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_compact_space,type,compact_space: $i * $i > $o ).
% 3.40/0.94 tff(predicate_compact_space,axiom,
% 3.40/0.94 compact_space(empty_set,empty_set)
% 3.40/0.94 & compact_space(empty_set,cx)
% 3.40/0.94 & ~compact_space(empty_set,a)
% 3.40/0.94 & compact_space(cx,empty_set)
% 3.40/0.94 & compact_space(cx,cx)
% 3.40/0.94 & compact_space(cx,a)
% 3.40/0.94 & compact_space(a,empty_set)
% 3.40/0.94 & compact_space(a,cx)
% 3.40/0.94 & compact_space(a,a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_finite,type,finite: $i > $o ).
% 3.40/0.94 tff(predicate_finite,axiom,
% 3.40/0.94 ~finite(empty_set)
% 3.40/0.94 & ~finite(cx)
% 3.40/0.94 & ~finite(a)
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 tff(declare_compact_set,type,compact_set: $i * $i * $i > $o ).
% 3.40/0.94 tff(predicate_compact_set,axiom,
% 3.40/0.94 ~compact_set(empty_set,empty_set,empty_set)
% 3.40/0.94 % compact_set(empty_set,empty_set,cx) undefined in model
% 3.40/0.94 % compact_set(empty_set,empty_set,a) undefined in model
% 3.40/0.94 % compact_set(empty_set,cx,empty_set) undefined in model
% 3.40/0.94 % compact_set(empty_set,cx,cx) undefined in model
% 3.40/0.94 % compact_set(empty_set,cx,a) undefined in model
% 3.40/0.94 % compact_set(empty_set,a,empty_set) undefined in model
% 3.40/0.94 % compact_set(empty_set,a,cx) undefined in model
% 3.40/0.94 % compact_set(empty_set,a,a) undefined in model
% 3.40/0.94 % compact_set(cx,empty_set,empty_set) undefined in model
% 3.40/0.94 % compact_set(cx,empty_set,cx) undefined in model
% 3.40/0.94 % compact_set(cx,empty_set,a) undefined in model
% 3.40/0.94 % compact_set(cx,cx,empty_set) undefined in model
% 3.40/0.94 % compact_set(cx,cx,cx) undefined in model
% 3.40/0.94 % compact_set(cx,cx,a) undefined in model
% 3.40/0.94 % compact_set(cx,a,empty_set) undefined in model
% 3.40/0.94 % compact_set(cx,a,cx) undefined in model
% 3.40/0.94 % compact_set(cx,a,a) undefined in model
% 3.40/0.94 % compact_set(a,empty_set,empty_set) undefined in model
% 3.40/0.94 % compact_set(a,empty_set,cx) undefined in model
% 3.40/0.94 % compact_set(a,empty_set,a) undefined in model
% 3.40/0.94 % compact_set(a,cx,empty_set) undefined in model
% 3.40/0.94 % compact_set(a,cx,cx) undefined in model
% 3.40/0.94 % compact_set(a,cx,a) undefined in model
% 3.40/0.94 % compact_set(a,a,empty_set) undefined in model
% 3.40/0.94 % compact_set(a,a,cx) undefined in model
% 3.40/0.94 % compact_set(a,a,a) undefined in model
% 3.40/0.94
% 3.40/0.94 ).
% 3.40/0.94
% 3.40/0.94 % SZS output end FiniteModel for theBenchmark
% 3.40/0.94 % (4767)------------------------------
% 3.40/0.94 % (4767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.94 % (4767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.94 % (4767)Termination reason: Satisfiable
% 3.40/0.94
% 3.40/0.94 % (4767)Memory used [KB]: 13048
% 3.40/0.94 % (4767)Time elapsed: 0.287 s
% 3.40/0.94 % (4767)Instructions burned: 264 (million)
% 3.40/0.94 % (4767)------------------------------
% 3.40/0.94 % (4767)------------------------------
% 3.40/0.94 % (4766)Success in time 0.596 s
%------------------------------------------------------------------------------