TSTP Solution File: TOP009-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : TOP009-1 : 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 : n011.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 3.08s 0.86s
% Output : FiniteModel 3.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : TOP009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 14:31:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.46 % (27452)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.46 % (27429)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)
% 0.18/0.47 % (27444)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)
% 0.18/0.48 % (27436)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.49 % (27426)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)
% 0.18/0.50 % (27428)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (27431)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (27433)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)
% 0.18/0.51 % (27432)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51 % (27427)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)
% 0.18/0.51 % (27432)Instruction limit reached!
% 0.18/0.51 % (27432)------------------------------
% 0.18/0.51 % (27432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (27432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (27432)Termination reason: Unknown
% 0.18/0.51 % (27432)Termination phase: Blocked clause elimination
% 0.18/0.51
% 0.18/0.51 % (27432)Memory used [KB]: 1023
% 0.18/0.51 % (27432)Time elapsed: 0.002 s
% 0.18/0.51 % (27432)Instructions burned: 2 (million)
% 0.18/0.51 % (27432)------------------------------
% 0.18/0.51 % (27432)------------------------------
% 0.18/0.51 % (27437)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51 % (27442)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51 % (27438)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)
% 0.18/0.51 % (27445)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.51 % (27446)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)
% 0.18/0.52 % (27431)Instruction limit reached!
% 0.18/0.52 % (27431)------------------------------
% 0.18/0.52 % (27431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (27431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (27431)Termination reason: Unknown
% 0.18/0.52 % (27431)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (27431)Memory used [KB]: 5628
% 0.18/0.52 % (27431)Time elapsed: 0.126 s
% 0.18/0.52 % (27431)Instructions burned: 7 (million)
% 0.18/0.52 % (27431)------------------------------
% 0.18/0.52 % (27431)------------------------------
% 0.18/0.52 % (27447)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.52 % (27451)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)
% 0.18/0.52 % (27449)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52 % (27453)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)
% 0.18/0.52 % (27424)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.44/0.53 % (27439)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)
% 1.44/0.53 % (27434)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.53 % (27425)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.53 % (27430)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)
% 1.44/0.53 % (27435)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.53 % (27450)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)
% 1.44/0.53 % (27425)Refutation not found, incomplete strategy% (27425)------------------------------
% 1.44/0.53 % (27425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (27425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (27425)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.54
% 1.44/0.54 % (27425)Memory used [KB]: 5628
% 1.44/0.54 % (27425)Time elapsed: 0.145 s
% 1.44/0.54 % (27425)Instructions burned: 5 (million)
% 1.44/0.54 % (27425)------------------------------
% 1.44/0.54 % (27425)------------------------------
% 1.44/0.54 % (27443)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.54 % (27441)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.56/0.54 % (27440)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)
% 1.56/0.54 % (27429)Instruction limit reached!
% 1.56/0.54 % (27429)------------------------------
% 1.56/0.54 % (27429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.54 % (27429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.54 % (27429)Termination reason: Unknown
% 1.56/0.54 % (27429)Termination phase: Saturation
% 1.56/0.54
% 1.56/0.54 % (27429)Memory used [KB]: 6140
% 1.56/0.54 % (27429)Time elapsed: 0.172 s
% 1.56/0.54 % (27429)Instructions burned: 48 (million)
% 1.56/0.54 % (27429)------------------------------
% 1.56/0.54 % (27429)------------------------------
% 1.56/0.55 % (27448)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.56/0.55 % (27426)Instruction limit reached!
% 1.56/0.55 % (27426)------------------------------
% 1.56/0.55 % (27426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (27426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (27426)Termination reason: Unknown
% 1.56/0.55 % (27426)Termination phase: Saturation
% 1.56/0.55
% 1.56/0.55 % (27426)Memory used [KB]: 1535
% 1.56/0.55 % (27426)Time elapsed: 0.164 s
% 1.56/0.55 % (27426)Instructions burned: 37 (million)
% 1.56/0.55 % (27426)------------------------------
% 1.56/0.55 % (27426)------------------------------
% 1.56/0.55 TRYING [1]
% 1.56/0.56 TRYING [2]
% 1.56/0.56 TRYING [1]
% 1.56/0.56 TRYING [2]
% 1.56/0.56 TRYING [1]
% 1.56/0.56 TRYING [2]
% 1.56/0.59 % (27430)Instruction limit reached!
% 1.56/0.59 % (27430)------------------------------
% 1.56/0.59 % (27430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59 % (27430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59 % (27430)Termination reason: Unknown
% 1.56/0.59 % (27430)Termination phase: Finite model building constraint generation
% 1.56/0.59
% 1.56/0.59 % (27430)Memory used [KB]: 8315
% 1.56/0.59 % (27430)Time elapsed: 0.143 s
% 1.56/0.59 % (27430)Instructions burned: 52 (million)
% 1.56/0.59 % (27430)------------------------------
% 1.56/0.59 % (27430)------------------------------
% 1.56/0.60 % (27441)Instruction limit reached!
% 1.56/0.60 % (27441)------------------------------
% 1.56/0.60 % (27441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.60 % (27441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.60 % (27441)Termination reason: Unknown
% 1.56/0.60 % (27441)Termination phase: Finite model building constraint generation
% 1.56/0.60
% 1.56/0.60 % (27441)Memory used [KB]: 8187
% 1.56/0.60 % (27441)Time elapsed: 0.191 s
% 1.56/0.60 % (27441)Instructions burned: 61 (million)
% 1.56/0.60 % (27441)------------------------------
% 1.56/0.60 % (27441)------------------------------
% 1.56/0.61 % (27433)Instruction limit reached!
% 1.56/0.61 % (27433)------------------------------
% 1.56/0.61 % (27433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.61 % (27433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.61 % (27433)Termination reason: Unknown
% 1.56/0.61 % (27433)Termination phase: Saturation
% 1.56/0.61
% 1.56/0.61 % (27433)Memory used [KB]: 1791
% 1.56/0.61 % (27433)Time elapsed: 0.207 s
% 1.56/0.61 % (27433)Instructions burned: 51 (million)
% 1.56/0.61 % (27433)------------------------------
% 1.56/0.61 % (27433)------------------------------
% 1.56/0.61 TRYING [3]
% 1.56/0.61 % (27428)Instruction limit reached!
% 1.56/0.61 % (27428)------------------------------
% 1.56/0.61 % (27428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.61 % (27428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.61 % (27428)Termination reason: Unknown
% 1.56/0.61 % (27428)Termination phase: Saturation
% 1.56/0.61
% 1.56/0.61 % (27428)Memory used [KB]: 6652
% 1.56/0.61 % (27428)Time elapsed: 0.202 s
% 1.56/0.61 % (27428)Instructions burned: 51 (million)
% 1.56/0.61 % (27428)------------------------------
% 1.56/0.61 % (27428)------------------------------
% 1.56/0.61 % (27427)Instruction limit reached!
% 1.56/0.61 % (27427)------------------------------
% 1.56/0.61 % (27427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.61 % (27427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.61 % (27427)Termination reason: Unknown
% 1.56/0.61 % (27427)Termination phase: Saturation
% 1.56/0.61
% 1.56/0.61 % (27427)Memory used [KB]: 6396
% 1.56/0.61 % (27427)Time elapsed: 0.227 s
% 1.56/0.61 % (27427)Instructions burned: 52 (million)
% 1.56/0.61 % (27427)------------------------------
% 1.56/0.61 % (27427)------------------------------
% 1.56/0.62 % (27438)Instruction limit reached!
% 1.56/0.62 % (27438)------------------------------
% 1.56/0.62 % (27438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.62 % (27438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.62 % (27438)Termination reason: Unknown
% 1.56/0.62 % (27438)Termination phase: Saturation
% 1.56/0.62
% 1.56/0.62 % (27438)Memory used [KB]: 7036
% 1.56/0.62 % (27438)Time elapsed: 0.038 s
% 1.56/0.62 % (27438)Instructions burned: 68 (million)
% 1.56/0.62 % (27438)------------------------------
% 1.56/0.62 % (27438)------------------------------
% 1.56/0.62 % (27455)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)
% 2.16/0.63 % (27434)Instruction limit reached!
% 2.16/0.63 % (27434)------------------------------
% 2.16/0.63 % (27434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.63 % (27434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.63 % (27434)Termination reason: Unknown
% 2.16/0.63 % (27434)Termination phase: Saturation
% 2.16/0.63
% 2.16/0.63 % (27434)Memory used [KB]: 6396
% 2.16/0.63 % (27434)Time elapsed: 0.250 s
% 2.16/0.63 % (27434)Instructions burned: 50 (million)
% 2.16/0.63 % (27434)------------------------------
% 2.16/0.63 % (27434)------------------------------
% 2.16/0.65 % (27450)Instruction limit reached!
% 2.16/0.65 % (27450)------------------------------
% 2.16/0.65 % (27450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.65 % (27450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.65 % (27450)Termination reason: Unknown
% 2.16/0.65 % (27450)Termination phase: Saturation
% 2.16/0.65
% 2.16/0.65 % (27450)Memory used [KB]: 6908
% 2.16/0.65 % (27450)Time elapsed: 0.037 s
% 2.16/0.65 % (27450)Instructions burned: 68 (million)
% 2.16/0.65 % (27450)------------------------------
% 2.16/0.65 % (27450)------------------------------
% 2.16/0.66 % (27454)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)
% 2.16/0.66 % (27456)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 (2998ds/90Mi)
% 2.16/0.67 % (27443)Instruction limit reached!
% 2.16/0.67 % (27443)------------------------------
% 2.16/0.67 % (27443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.67 % (27443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.67 % (27443)Termination reason: Unknown
% 2.16/0.67 % (27443)Termination phase: Saturation
% 2.16/0.67
% 2.16/0.67 % (27443)Memory used [KB]: 2046
% 2.16/0.67 % (27443)Time elapsed: 0.270 s
% 2.16/0.67 % (27443)Instructions burned: 101 (million)
% 2.16/0.67 % (27443)------------------------------
% 2.16/0.67 % (27443)------------------------------
% 2.16/0.68 % (27442)Instruction limit reached!
% 2.16/0.68 % (27442)------------------------------
% 2.16/0.68 % (27442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.68 % (27442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.68 % (27442)Termination reason: Unknown
% 2.16/0.68 % (27442)Termination phase: Saturation
% 2.16/0.68
% 2.16/0.68 % (27442)Memory used [KB]: 7036
% 2.16/0.68 % (27442)Time elapsed: 0.279 s
% 2.16/0.68 % (27442)Instructions burned: 100 (million)
% 2.16/0.68 % (27442)------------------------------
% 2.16/0.68 % (27442)------------------------------
% 2.16/0.68 % (27439)Instruction limit reached!
% 2.16/0.68 % (27439)------------------------------
% 2.16/0.68 % (27439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.68 % (27439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.68 % (27439)Termination reason: Unknown
% 2.45/0.68 % (27439)Termination phase: Saturation
% 2.45/0.68
% 2.45/0.68 % (27439)Memory used [KB]: 2046
% 2.45/0.68 % (27439)Time elapsed: 0.274 s
% 2.45/0.68 % (27439)Instructions burned: 75 (million)
% 2.45/0.68 % (27439)------------------------------
% 2.45/0.68 % (27439)------------------------------
% 2.45/0.68 % (27457)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/920Mi)
% 2.45/0.68 % (27458)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.45/0.69 % (27436)Instruction limit reached!
% 2.45/0.69 % (27436)------------------------------
% 2.45/0.69 % (27436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.69 % (27436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.69 % (27436)Termination reason: Unknown
% 2.45/0.69 % (27436)Termination phase: Saturation
% 2.45/0.69
% 2.45/0.69 % (27436)Memory used [KB]: 6524
% 2.45/0.69 % (27436)Time elapsed: 0.295 s
% 2.45/0.69 % (27436)Instructions burned: 102 (million)
% 2.45/0.69 % (27436)------------------------------
% 2.45/0.69 % (27436)------------------------------
% 2.45/0.70 % (27437)Instruction limit reached!
% 2.45/0.70 % (27437)------------------------------
% 2.45/0.70 % (27437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.70 % (27437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.70 % (27437)Termination reason: Unknown
% 2.45/0.70 % (27437)Termination phase: Saturation
% 2.45/0.70
% 2.45/0.70 % (27437)Memory used [KB]: 6652
% 2.45/0.70 % (27437)Time elapsed: 0.309 s
% 2.45/0.70 % (27437)Instructions burned: 99 (million)
% 2.45/0.70 % (27437)------------------------------
% 2.45/0.70 % (27437)------------------------------
% 2.45/0.72 % (27440)Instruction limit reached!
% 2.45/0.72 % (27440)------------------------------
% 2.45/0.72 % (27440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.72 % (27440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.72 % (27440)Termination reason: Unknown
% 2.45/0.72 % (27440)Termination phase: Saturation
% 2.45/0.72
% 2.45/0.72 % (27440)Memory used [KB]: 6780
% 2.45/0.72 % (27440)Time elapsed: 0.334 s
% 2.45/0.72 % (27440)Instructions burned: 99 (million)
% 2.45/0.72 % (27440)------------------------------
% 2.45/0.72 % (27440)------------------------------
% 2.45/0.72 % (27435)Instruction limit reached!
% 2.45/0.72 % (27435)------------------------------
% 2.45/0.72 % (27435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.72 % (27435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.72 % (27435)Termination reason: Unknown
% 2.45/0.72 % (27435)Termination phase: Saturation
% 2.45/0.72
% 2.45/0.72 % (27435)Memory used [KB]: 7164
% 2.45/0.72 % (27435)Time elapsed: 0.333 s
% 2.45/0.72 % (27435)Instructions burned: 100 (million)
% 2.45/0.72 % (27435)------------------------------
% 2.45/0.72 % (27435)------------------------------
% 2.45/0.72 % (27459)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)
% 2.45/0.74 % (27461)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)
% 2.45/0.75 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.45/0.75 % (27463)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)
% 2.45/0.75 % (27460)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 % (27445)Instruction limit reached!
% 2.76/0.76 % (27445)------------------------------
% 2.76/0.76 % (27445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.76 % (27445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.76 % (27445)Termination reason: Unknown
% 2.76/0.76 % (27445)Termination phase: Saturation
% 2.76/0.76
% 2.76/0.76 % (27445)Memory used [KB]: 7291
% 2.76/0.76 % (27445)Time elapsed: 0.368 s
% 2.76/0.76 % (27445)Instructions burned: 138 (million)
% 2.76/0.76 % (27445)------------------------------
% 2.76/0.76 % (27445)------------------------------
% 2.76/0.76 % (27444)Instruction limit reached!
% 2.76/0.76 % (27444)------------------------------
% 2.76/0.76 % (27444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.76 % (27444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.76 % (27444)Termination reason: Unknown
% 2.76/0.76 % (27444)Termination phase: Saturation
% 2.76/0.76
% 2.76/0.76 % (27444)Memory used [KB]: 7803
% 2.76/0.76 % (27444)Time elapsed: 0.371 s
% 2.76/0.76 % (27444)Instructions burned: 176 (million)
% 2.76/0.76 % (27444)------------------------------
% 2.76/0.76 % (27444)------------------------------
% 2.76/0.76 % (27462)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)
% 2.76/0.77 % (27464)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)
% 2.83/0.78 % (27466)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.83/0.80 % (27468)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)
% 2.83/0.80 % (27465)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)
% 2.83/0.80 % (27456)Instruction limit reached!
% 2.83/0.80 % (27456)------------------------------
% 2.83/0.80 % (27456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.80 % (27456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.80 % (27456)Termination reason: Unknown
% 2.83/0.80 % (27456)Termination phase: Saturation
% 2.83/0.80
% 2.83/0.80 % (27456)Memory used [KB]: 6908
% 2.83/0.80 % (27456)Time elapsed: 0.206 s
% 2.83/0.80 % (27456)Instructions burned: 90 (million)
% 2.83/0.80 % (27456)------------------------------
% 2.83/0.80 % (27456)------------------------------
% 3.02/0.81 % (27469)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.02/0.82 % (27470)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)
% 3.02/0.83 % (27471)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)
% 3.02/0.83 % (27467)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)
% 3.08/0.85 % (27451)Instruction limit reached!
% 3.08/0.85 % (27451)------------------------------
% 3.08/0.85 % (27451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.85 % (27451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.85 % (27451)Termination reason: Unknown
% 3.08/0.85 % (27451)Termination phase: Saturation
% 3.08/0.85
% 3.08/0.85 % (27451)Memory used [KB]: 3326
% 3.08/0.85 % (27451)Time elapsed: 0.459 s
% 3.08/0.85 % (27451)Instructions burned: 177 (million)
% 3.08/0.85 % (27451)------------------------------
% 3.08/0.85 % (27451)------------------------------
% 3.08/0.85 % (27472)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)
% 3.08/0.85 % (27473)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)
% 3.08/0.86 Finite Model Found!
% 3.08/0.86 % SZS status Satisfiable for theBenchmark
% 3.08/0.88 % (27461)Instruction limit reached!
% 3.08/0.88 % (27461)------------------------------
% 3.08/0.88 % (27461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.88 % (27461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.88 % (27461)Termination reason: Unknown
% 3.08/0.88 % (27461)Termination phase: Saturation
% 3.08/0.88
% 3.08/0.88 % (27461)Memory used [KB]: 7036
% 3.08/0.88 % (27461)Time elapsed: 0.038 s
% 3.08/0.88 % (27461)Instructions burned: 68 (million)
% 3.08/0.88 % (27461)------------------------------
% 3.08/0.88 % (27461)------------------------------
% 3.08/0.88 % (27424)First to succeed.
% 3.08/0.89 % (27474)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.08/0.89 % SZS output start FiniteModel for theBenchmark
% 3.08/0.89 tff(declare_$i,type,$i:$tType).
% 3.08/0.89 tff(declare_$i1,type,empty_set:$i).
% 3.08/0.89 tff(declare_$i2,type,cy:$i).
% 3.08/0.89 tff(declare_$i3,type,a:$i).
% 3.08/0.89 tff(finite_domain,axiom,
% 3.08/0.89 ! [X:$i] : (
% 3.08/0.89 X = empty_set | X = cy | X = a
% 3.08/0.89 ) ).
% 3.08/0.89
% 3.08/0.89 tff(distinct_domain,axiom,
% 3.08/0.89 empty_set != cy & empty_set != a & cy != a
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_bool,type,$o:$tType).
% 3.08/0.89 tff(declare_bool1,type,fmb_bool_1:$o).
% 3.08/0.89 tff(finite_domain,axiom,
% 3.08/0.89 ! [X:$o] : (
% 3.08/0.89 X = fmb_bool_1
% 3.08/0.89 ) ).
% 3.08/0.89
% 3.08/0.89 tff(declare_cx,type,cx:$i).
% 3.08/0.89 tff(cx_definition,axiom,cx = cy).
% 3.08/0.89 tff(declare_ct,type,ct:$i).
% 3.08/0.89 tff(ct_definition,axiom,ct = empty_set).
% 3.08/0.89 tff(declare_union_of_members,type,union_of_members: $i > $i).
% 3.08/0.89 tff(function_union_of_members,axiom,
% 3.08/0.89 union_of_members(empty_set) = cy
% 3.08/0.89 & union_of_members(cy) = a
% 3.08/0.89 & union_of_members(a) = cy
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f1,type,f1: $i * $i > $i).
% 3.08/0.89 tff(function_f1,axiom,
% 3.08/0.89 f1(empty_set,empty_set) = cy
% 3.08/0.89 & f1(empty_set,cy) = empty_set
% 3.08/0.89 & f1(empty_set,a) = empty_set
% 3.08/0.89 & f1(cy,empty_set) = a
% 3.08/0.89 & f1(cy,cy) = a
% 3.08/0.89 & f1(cy,a) = a
% 3.08/0.89 & f1(a,empty_set) = cy
% 3.08/0.89 & f1(a,cy) = a
% 3.08/0.89 & f1(a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_intersection_of_members,type,intersection_of_members: $i > $i).
% 3.08/0.89 tff(function_intersection_of_members,axiom,
% 3.08/0.89 intersection_of_members(empty_set) = cy
% 3.08/0.89 & intersection_of_members(cy) = cy
% 3.08/0.89 & intersection_of_members(a) = a
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f2,type,f2: $i * $i > $i).
% 3.08/0.89 tff(function_f2,axiom,
% 3.08/0.89 f2(empty_set,empty_set) = cy
% 3.08/0.89 & f2(empty_set,cy) = cy
% 3.08/0.89 & f2(empty_set,a) = cy
% 3.08/0.89 & f2(cy,empty_set) = cy
% 3.08/0.89 & f2(cy,cy) = cy
% 3.08/0.89 & f2(cy,a) = cy
% 3.08/0.89 & f2(a,empty_set) = a
% 3.08/0.89 & f2(a,cy) = a
% 3.08/0.89 & f2(a,a) = a
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_intersection_of_sets,type,intersection_of_sets: $i * $i > $i).
% 3.08/0.89 tff(function_intersection_of_sets,axiom,
% 3.08/0.89 intersection_of_sets(empty_set,empty_set) = empty_set
% 3.08/0.89 & intersection_of_sets(empty_set,cy) = cy
% 3.08/0.89 & intersection_of_sets(empty_set,a) = empty_set
% 3.08/0.89 & intersection_of_sets(cy,empty_set) = cy
% 3.08/0.89 & intersection_of_sets(cy,cy) = cy
% 3.08/0.89 & intersection_of_sets(cy,a) = a
% 3.08/0.89 & intersection_of_sets(a,empty_set) = empty_set
% 3.08/0.89 & intersection_of_sets(a,cy) = empty_set
% 3.08/0.89 & intersection_of_sets(a,a) = a
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f3,type,f3: $i * $i > $i).
% 3.08/0.89 tff(function_f3,axiom,
% 3.08/0.89 f3(empty_set,empty_set) = cy
% 3.08/0.89 & f3(empty_set,cy) = empty_set
% 3.08/0.89 & f3(empty_set,a) = cy
% 3.08/0.89 & f3(cy,empty_set) = cy
% 3.08/0.89 & f3(cy,cy) = empty_set
% 3.08/0.89 & f3(cy,a) = empty_set
% 3.08/0.89 & f3(a,empty_set) = empty_set
% 3.08/0.89 & f3(a,cy) = empty_set
% 3.08/0.89 & f3(a,a) = cy
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f5,type,f5: $i * $i > $i).
% 3.08/0.89 tff(function_f5,axiom,
% 3.08/0.89 f5(empty_set,empty_set) = cy
% 3.08/0.89 & f5(empty_set,cy) = cy
% 3.08/0.89 & f5(empty_set,a) = cy
% 3.08/0.89 & f5(cy,empty_set) = cy
% 3.08/0.89 & f5(cy,cy) = a
% 3.08/0.89 & f5(cy,a) = empty_set
% 3.08/0.89 & f5(a,empty_set) = cy
% 3.08/0.89 & f5(a,cy) = cy
% 3.08/0.89 & f5(a,a) = cy
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f4,type,f4: $i * $i > $i).
% 3.08/0.89 tff(function_f4,axiom,
% 3.08/0.89 f4(empty_set,empty_set) = empty_set
% 3.08/0.89 & f4(empty_set,cy) = empty_set
% 3.08/0.89 & f4(empty_set,a) = a
% 3.08/0.89 & f4(cy,empty_set) = empty_set
% 3.08/0.89 & f4(cy,cy) = a
% 3.08/0.89 & f4(cy,a) = a
% 3.08/0.89 & f4(a,empty_set) = a
% 3.08/0.89 & f4(a,cy) = cy
% 3.08/0.89 & f4(a,a) = a
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_relative_complement_sets,type,relative_complement_sets: $i * $i > $i).
% 3.08/0.89 tff(function_relative_complement_sets,axiom,
% 3.08/0.89 relative_complement_sets(empty_set,empty_set) = a
% 3.08/0.89 & relative_complement_sets(empty_set,cy) = a
% 3.08/0.89 & relative_complement_sets(empty_set,a) = cy
% 3.08/0.89 & relative_complement_sets(cy,empty_set) = a
% 3.08/0.89 & relative_complement_sets(cy,cy) = a
% 3.08/0.89 & relative_complement_sets(cy,a) = cy
% 3.08/0.89 & relative_complement_sets(a,empty_set) = a
% 3.08/0.89 & relative_complement_sets(a,cy) = a
% 3.08/0.89 & relative_complement_sets(a,a) = cy
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f6,type,f6: $i * $i * $i * $i * $i > $i).
% 3.08/0.89 tff(function_f6,axiom,
% 3.08/0.89 f6(empty_set,empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,empty_set,cy,empty_set) = a
% 3.08/0.89 & f6(empty_set,empty_set,empty_set,cy,cy) = a
% 3.08/0.89 & f6(empty_set,empty_set,empty_set,cy,a) = a
% 3.08/0.89 & f6(empty_set,empty_set,empty_set,a,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,empty_set,a,cy) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,empty_set,a,a) = cy
% 3.08/0.89 & f6(empty_set,empty_set,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,cy,empty_set,cy) = a
% 3.08/0.89 & f6(empty_set,empty_set,cy,empty_set,a) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,cy,cy,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,cy,cy,cy) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,cy,cy,a) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,cy,a,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,cy,a,cy) = cy
% 3.08/0.89 & f6(empty_set,empty_set,cy,a,a) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,a,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,a,empty_set,cy) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,a,empty_set,a) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,a,cy,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,a,cy,cy) = a
% 3.08/0.89 & f6(empty_set,empty_set,a,cy,a) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,a,a,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,empty_set,a,a,cy) = cy
% 3.08/0.89 & f6(empty_set,empty_set,a,a,a) = empty_set
% 3.08/0.89 & f6(empty_set,cy,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,cy,empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f6(empty_set,cy,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f6(empty_set,cy,empty_set,cy,empty_set) = a
% 3.08/0.89 & f6(empty_set,cy,empty_set,cy,cy) = cy
% 3.08/0.89 & f6(empty_set,cy,empty_set,cy,a) = empty_set
% 3.08/0.89 & f6(empty_set,cy,empty_set,a,empty_set) = cy
% 3.08/0.89 & f6(empty_set,cy,empty_set,a,cy) = a
% 3.08/0.89 & f6(empty_set,cy,empty_set,a,a) = cy
% 3.08/0.89 & f6(empty_set,cy,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,cy,cy,empty_set,cy) = a
% 3.08/0.89 & f6(empty_set,cy,cy,empty_set,a) = cy
% 3.08/0.89 & f6(empty_set,cy,cy,cy,empty_set) = a
% 3.08/0.89 & f6(empty_set,cy,cy,cy,cy) = cy
% 3.08/0.89 & f6(empty_set,cy,cy,cy,a) = empty_set
% 3.08/0.89 & f6(empty_set,cy,cy,a,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,cy,cy,a,cy) = empty_set
% 3.08/0.89 & f6(empty_set,cy,cy,a,a) = a
% 3.08/0.89 & f6(empty_set,cy,a,empty_set,empty_set) = a
% 3.08/0.89 & f6(empty_set,cy,a,empty_set,cy) = empty_set
% 3.08/0.89 & f6(empty_set,cy,a,empty_set,a) = empty_set
% 3.08/0.89 & f6(empty_set,cy,a,cy,empty_set) = a
% 3.08/0.89 & f6(empty_set,cy,a,cy,cy) = empty_set
% 3.08/0.89 & f6(empty_set,cy,a,cy,a) = cy
% 3.08/0.89 & f6(empty_set,cy,a,a,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,cy,a,a,cy) = empty_set
% 3.08/0.89 & f6(empty_set,cy,a,a,a) = a
% 3.08/0.89 & f6(empty_set,a,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,a,empty_set,empty_set,cy) = a
% 3.08/0.89 & f6(empty_set,a,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f6(empty_set,a,empty_set,cy,empty_set) = a
% 3.08/0.89 & f6(empty_set,a,empty_set,cy,cy) = cy
% 3.08/0.89 & f6(empty_set,a,empty_set,cy,a) = cy
% 3.08/0.89 & f6(empty_set,a,empty_set,a,empty_set) = cy
% 3.08/0.89 & f6(empty_set,a,empty_set,a,cy) = cy
% 3.08/0.89 & f6(empty_set,a,empty_set,a,a) = empty_set
% 3.08/0.89 & f6(empty_set,a,cy,empty_set,empty_set) = a
% 3.08/0.89 & f6(empty_set,a,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f6(empty_set,a,cy,empty_set,a) = empty_set
% 3.08/0.89 & f6(empty_set,a,cy,cy,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,a,cy,cy,cy) = a
% 3.08/0.89 & f6(empty_set,a,cy,cy,a) = empty_set
% 3.08/0.89 & f6(empty_set,a,cy,a,empty_set) = cy
% 3.08/0.89 & f6(empty_set,a,cy,a,cy) = a
% 3.08/0.89 & f6(empty_set,a,cy,a,a) = a
% 3.08/0.89 & f6(empty_set,a,a,empty_set,empty_set) = a
% 3.08/0.89 & f6(empty_set,a,a,empty_set,cy) = empty_set
% 3.08/0.89 & f6(empty_set,a,a,empty_set,a) = empty_set
% 3.08/0.89 & f6(empty_set,a,a,cy,empty_set) = a
% 3.08/0.89 & f6(empty_set,a,a,cy,cy) = a
% 3.08/0.89 & f6(empty_set,a,a,cy,a) = cy
% 3.08/0.89 & f6(empty_set,a,a,a,empty_set) = empty_set
% 3.08/0.89 & f6(empty_set,a,a,a,cy) = cy
% 3.08/0.89 & f6(empty_set,a,a,a,a) = empty_set
% 3.08/0.89 & f6(cy,empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(cy,empty_set,empty_set,empty_set,cy) = a
% 3.08/0.89 & f6(cy,empty_set,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f6(cy,empty_set,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f6(cy,empty_set,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f6(cy,empty_set,empty_set,cy,a) = cy
% 3.08/0.89 & f6(cy,empty_set,empty_set,a,empty_set) = empty_set
% 3.08/0.89 & f6(cy,empty_set,empty_set,a,cy) = empty_set
% 3.08/0.89 & f6(cy,empty_set,empty_set,a,a) = empty_set
% 3.08/0.89 & f6(cy,empty_set,cy,empty_set,empty_set) = a
% 3.08/0.89 & f6(cy,empty_set,cy,empty_set,cy) = a
% 3.08/0.89 & f6(cy,empty_set,cy,empty_set,a) = cy
% 3.08/0.89 & f6(cy,empty_set,cy,cy,empty_set) = cy
% 3.08/0.89 & f6(cy,empty_set,cy,cy,cy) = cy
% 3.08/0.89 & f6(cy,empty_set,cy,cy,a) = cy
% 3.08/0.89 & f6(cy,empty_set,cy,a,empty_set) = a
% 3.08/0.89 & f6(cy,empty_set,cy,a,cy) = empty_set
% 3.08/0.89 & f6(cy,empty_set,cy,a,a) = cy
% 3.08/0.89 & f6(cy,empty_set,a,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(cy,empty_set,a,empty_set,cy) = a
% 3.08/0.89 & f6(cy,empty_set,a,empty_set,a) = cy
% 3.08/0.89 & f6(cy,empty_set,a,cy,empty_set) = a
% 3.08/0.89 & f6(cy,empty_set,a,cy,cy) = a
% 3.08/0.89 & f6(cy,empty_set,a,cy,a) = empty_set
% 3.08/0.89 & f6(cy,empty_set,a,a,empty_set) = a
% 3.08/0.89 & f6(cy,empty_set,a,a,cy) = empty_set
% 3.08/0.89 & f6(cy,empty_set,a,a,a) = cy
% 3.08/0.89 & f6(cy,cy,empty_set,empty_set,empty_set) = a
% 3.08/0.89 & f6(cy,cy,empty_set,empty_set,cy) = cy
% 3.08/0.89 & f6(cy,cy,empty_set,empty_set,a) = cy
% 3.08/0.89 & f6(cy,cy,empty_set,cy,empty_set) = a
% 3.08/0.89 & f6(cy,cy,empty_set,cy,cy) = cy
% 3.08/0.89 & f6(cy,cy,empty_set,cy,a) = cy
% 3.08/0.89 & f6(cy,cy,empty_set,a,empty_set) = a
% 3.08/0.89 & f6(cy,cy,empty_set,a,cy) = cy
% 3.08/0.89 & f6(cy,cy,empty_set,a,a) = cy
% 3.08/0.89 & f6(cy,cy,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(cy,cy,cy,empty_set,cy) = a
% 3.08/0.89 & f6(cy,cy,cy,empty_set,a) = empty_set
% 3.08/0.89 & f6(cy,cy,cy,cy,empty_set) = cy
% 3.08/0.89 & f6(cy,cy,cy,cy,cy) = empty_set
% 3.08/0.89 & f6(cy,cy,cy,cy,a) = empty_set
% 3.08/0.89 & f6(cy,cy,cy,a,empty_set) = a
% 3.08/0.89 & f6(cy,cy,cy,a,cy) = empty_set
% 3.08/0.89 & f6(cy,cy,cy,a,a) = cy
% 3.08/0.89 & f6(cy,cy,a,empty_set,empty_set) = a
% 3.08/0.89 & f6(cy,cy,a,empty_set,cy) = a
% 3.08/0.89 & f6(cy,cy,a,empty_set,a) = empty_set
% 3.08/0.89 & f6(cy,cy,a,cy,empty_set) = cy
% 3.08/0.89 & f6(cy,cy,a,cy,cy) = empty_set
% 3.08/0.89 & f6(cy,cy,a,cy,a) = cy
% 3.08/0.89 & f6(cy,cy,a,a,empty_set) = empty_set
% 3.08/0.89 & f6(cy,cy,a,a,cy) = cy
% 3.08/0.89 & f6(cy,cy,a,a,a) = cy
% 3.08/0.89 & f6(cy,a,empty_set,empty_set,empty_set) = a
% 3.08/0.89 & f6(cy,a,empty_set,empty_set,cy) = a
% 3.08/0.89 & f6(cy,a,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f6(cy,a,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f6(cy,a,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f6(cy,a,empty_set,cy,a) = cy
% 3.08/0.89 & f6(cy,a,empty_set,a,empty_set) = cy
% 3.08/0.89 & f6(cy,a,empty_set,a,cy) = cy
% 3.08/0.89 & f6(cy,a,empty_set,a,a) = cy
% 3.08/0.89 & f6(cy,a,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(cy,a,cy,empty_set,cy) = cy
% 3.08/0.89 & f6(cy,a,cy,empty_set,a) = cy
% 3.08/0.89 & f6(cy,a,cy,cy,empty_set) = a
% 3.08/0.89 & f6(cy,a,cy,cy,cy) = empty_set
% 3.08/0.89 & f6(cy,a,cy,cy,a) = empty_set
% 3.08/0.89 & f6(cy,a,cy,a,empty_set) = a
% 3.08/0.89 & f6(cy,a,cy,a,cy) = cy
% 3.08/0.89 & f6(cy,a,cy,a,a) = empty_set
% 3.08/0.89 & f6(cy,a,a,empty_set,empty_set) = cy
% 3.08/0.89 & f6(cy,a,a,empty_set,cy) = cy
% 3.08/0.89 & f6(cy,a,a,empty_set,a) = cy
% 3.08/0.89 & f6(cy,a,a,cy,empty_set) = cy
% 3.08/0.89 & f6(cy,a,a,cy,cy) = empty_set
% 3.08/0.89 & f6(cy,a,a,cy,a) = cy
% 3.08/0.89 & f6(cy,a,a,a,empty_set) = empty_set
% 3.08/0.89 & f6(cy,a,a,a,cy) = cy
% 3.08/0.89 & f6(cy,a,a,a,a) = cy
% 3.08/0.89 & f6(a,empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(a,empty_set,empty_set,empty_set,cy) = a
% 3.08/0.89 & f6(a,empty_set,empty_set,empty_set,a) = cy
% 3.08/0.89 & f6(a,empty_set,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f6(a,empty_set,empty_set,cy,cy) = cy
% 3.08/0.89 & f6(a,empty_set,empty_set,cy,a) = empty_set
% 3.08/0.89 & f6(a,empty_set,empty_set,a,empty_set) = cy
% 3.08/0.89 & f6(a,empty_set,empty_set,a,cy) = a
% 3.08/0.89 & f6(a,empty_set,empty_set,a,a) = cy
% 3.08/0.89 & f6(a,empty_set,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(a,empty_set,cy,empty_set,cy) = a
% 3.08/0.89 & f6(a,empty_set,cy,empty_set,a) = a
% 3.08/0.89 & f6(a,empty_set,cy,cy,empty_set) = a
% 3.08/0.89 & f6(a,empty_set,cy,cy,cy) = a
% 3.08/0.89 & f6(a,empty_set,cy,cy,a) = a
% 3.08/0.89 & f6(a,empty_set,cy,a,empty_set) = cy
% 3.08/0.89 & f6(a,empty_set,cy,a,cy) = empty_set
% 3.08/0.89 & f6(a,empty_set,cy,a,a) = cy
% 3.08/0.89 & f6(a,empty_set,a,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(a,empty_set,a,empty_set,cy) = cy
% 3.08/0.89 & f6(a,empty_set,a,empty_set,a) = cy
% 3.08/0.89 & f6(a,empty_set,a,cy,empty_set) = a
% 3.08/0.89 & f6(a,empty_set,a,cy,cy) = a
% 3.08/0.89 & f6(a,empty_set,a,cy,a) = empty_set
% 3.08/0.89 & f6(a,empty_set,a,a,empty_set) = cy
% 3.08/0.89 & f6(a,empty_set,a,a,cy) = empty_set
% 3.08/0.89 & f6(a,empty_set,a,a,a) = a
% 3.08/0.89 & f6(a,cy,empty_set,empty_set,empty_set) = cy
% 3.08/0.89 & f6(a,cy,empty_set,empty_set,cy) = cy
% 3.08/0.89 & f6(a,cy,empty_set,empty_set,a) = a
% 3.08/0.89 & f6(a,cy,empty_set,cy,empty_set) = empty_set
% 3.08/0.89 & f6(a,cy,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f6(a,cy,empty_set,cy,a) = empty_set
% 3.08/0.89 & f6(a,cy,empty_set,a,empty_set) = cy
% 3.08/0.89 & f6(a,cy,empty_set,a,cy) = a
% 3.08/0.89 & f6(a,cy,empty_set,a,a) = a
% 3.08/0.89 & f6(a,cy,cy,empty_set,empty_set) = cy
% 3.08/0.89 & f6(a,cy,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f6(a,cy,cy,empty_set,a) = cy
% 3.08/0.89 & f6(a,cy,cy,cy,empty_set) = cy
% 3.08/0.89 & f6(a,cy,cy,cy,cy) = empty_set
% 3.08/0.89 & f6(a,cy,cy,cy,a) = empty_set
% 3.08/0.89 & f6(a,cy,cy,a,empty_set) = cy
% 3.08/0.89 & f6(a,cy,cy,a,cy) = a
% 3.08/0.89 & f6(a,cy,cy,a,a) = empty_set
% 3.08/0.89 & f6(a,cy,a,empty_set,empty_set) = a
% 3.08/0.89 & f6(a,cy,a,empty_set,cy) = a
% 3.08/0.89 & f6(a,cy,a,empty_set,a) = cy
% 3.08/0.89 & f6(a,cy,a,cy,empty_set) = cy
% 3.08/0.89 & f6(a,cy,a,cy,cy) = empty_set
% 3.08/0.89 & f6(a,cy,a,cy,a) = a
% 3.08/0.89 & f6(a,cy,a,a,empty_set) = a
% 3.08/0.89 & f6(a,cy,a,a,cy) = a
% 3.08/0.89 & f6(a,cy,a,a,a) = cy
% 3.08/0.89 & f6(a,a,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f6(a,a,empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f6(a,a,empty_set,empty_set,a) = a
% 3.08/0.89 & f6(a,a,empty_set,cy,empty_set) = empty_set
% 3.08/0.89 & f6(a,a,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f6(a,a,empty_set,cy,a) = a
% 3.08/0.89 & f6(a,a,empty_set,a,empty_set) = cy
% 3.08/0.89 & f6(a,a,empty_set,a,cy) = a
% 3.08/0.89 & f6(a,a,empty_set,a,a) = cy
% 3.08/0.89 & f6(a,a,cy,empty_set,empty_set) = cy
% 3.08/0.89 & f6(a,a,cy,empty_set,cy) = cy
% 3.08/0.89 & f6(a,a,cy,empty_set,a) = cy
% 3.08/0.89 & f6(a,a,cy,cy,empty_set) = cy
% 3.08/0.89 & f6(a,a,cy,cy,cy) = cy
% 3.08/0.89 & f6(a,a,cy,cy,a) = a
% 3.08/0.89 & f6(a,a,cy,a,empty_set) = a
% 3.08/0.89 & f6(a,a,cy,a,cy) = empty_set
% 3.08/0.89 & f6(a,a,cy,a,a) = a
% 3.08/0.89 & f6(a,a,a,empty_set,empty_set) = a
% 3.08/0.89 & f6(a,a,a,empty_set,cy) = a
% 3.08/0.89 & f6(a,a,a,empty_set,a) = cy
% 3.08/0.89 & f6(a,a,a,cy,empty_set) = a
% 3.08/0.89 & f6(a,a,a,cy,cy) = empty_set
% 3.08/0.89 & f6(a,a,a,cy,a) = a
% 3.08/0.89 & f6(a,a,a,a,empty_set) = a
% 3.08/0.89 & f6(a,a,a,a,cy) = a
% 3.08/0.89 & f6(a,a,a,a,a) = cy
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f7,type,f7: $i * $i > $i).
% 3.08/0.89 tff(function_f7,axiom,
% 3.08/0.89 f7(empty_set,empty_set) = empty_set
% 3.08/0.89 & f7(empty_set,cy) = cy
% 3.08/0.89 & f7(empty_set,a) = empty_set
% 3.08/0.89 & f7(cy,empty_set) = empty_set
% 3.08/0.89 & f7(cy,cy) = cy
% 3.08/0.89 & f7(cy,a) = a
% 3.08/0.89 & f7(a,empty_set) = empty_set
% 3.08/0.89 & f7(a,cy) = empty_set
% 3.08/0.89 & f7(a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f8,type,f8: $i * $i > $i).
% 3.08/0.89 tff(function_f8,axiom,
% 3.08/0.89 f8(empty_set,empty_set) = cy
% 3.08/0.89 & f8(empty_set,cy) = a
% 3.08/0.89 & f8(empty_set,a) = empty_set
% 3.08/0.89 & f8(cy,empty_set) = empty_set
% 3.08/0.89 & f8(cy,cy) = a
% 3.08/0.89 & f8(cy,a) = a
% 3.08/0.89 & f8(a,empty_set) = cy
% 3.08/0.89 & f8(a,cy) = a
% 3.08/0.89 & f8(a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f9,type,f9: $i * $i > $i).
% 3.08/0.89 tff(function_f9,axiom,
% 3.08/0.89 f9(empty_set,empty_set) = cy
% 3.08/0.89 & f9(empty_set,cy) = a
% 3.08/0.89 & f9(empty_set,a) = a
% 3.08/0.89 & f9(cy,empty_set) = cy
% 3.08/0.89 & f9(cy,cy) = a
% 3.08/0.89 & f9(cy,a) = a
% 3.08/0.89 & f9(a,empty_set) = empty_set
% 3.08/0.89 & f9(a,cy) = a
% 3.08/0.89 & f9(a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_top_of_basis,type,top_of_basis: $i > $i).
% 3.08/0.89 tff(function_top_of_basis,axiom,
% 3.08/0.89 top_of_basis(empty_set) = empty_set
% 3.08/0.89 & top_of_basis(cy) = cy
% 3.08/0.89 & top_of_basis(a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f10,type,f10: $i * $i * $i > $i).
% 3.08/0.89 tff(function_f10,axiom,
% 3.08/0.89 f10(empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f10(empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f10(empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f10(empty_set,cy,empty_set) = a
% 3.08/0.89 & f10(empty_set,cy,cy) = empty_set
% 3.08/0.89 & f10(empty_set,cy,a) = cy
% 3.08/0.89 & f10(empty_set,a,empty_set) = empty_set
% 3.08/0.89 & f10(empty_set,a,cy) = empty_set
% 3.08/0.89 & f10(empty_set,a,a) = empty_set
% 3.08/0.89 & f10(cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f10(cy,empty_set,cy) = empty_set
% 3.08/0.89 & f10(cy,empty_set,a) = empty_set
% 3.08/0.89 & f10(cy,cy,empty_set) = cy
% 3.08/0.89 & f10(cy,cy,cy) = cy
% 3.08/0.89 & f10(cy,cy,a) = cy
% 3.08/0.89 & f10(cy,a,empty_set) = a
% 3.08/0.89 & f10(cy,a,cy) = a
% 3.08/0.89 & f10(cy,a,a) = a
% 3.08/0.89 & f10(a,empty_set,empty_set) = a
% 3.08/0.89 & f10(a,empty_set,cy) = empty_set
% 3.08/0.89 & f10(a,empty_set,a) = empty_set
% 3.08/0.89 & f10(a,cy,empty_set) = cy
% 3.08/0.89 & f10(a,cy,cy) = empty_set
% 3.08/0.89 & f10(a,cy,a) = cy
% 3.08/0.89 & f10(a,a,empty_set) = a
% 3.08/0.89 & f10(a,a,cy) = cy
% 3.08/0.89 & f10(a,a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f11,type,f11: $i * $i > $i).
% 3.08/0.89 tff(function_f11,axiom,
% 3.08/0.89 f11(empty_set,empty_set) = cy
% 3.08/0.89 & f11(empty_set,cy) = cy
% 3.08/0.89 & f11(empty_set,a) = empty_set
% 3.08/0.89 & f11(cy,empty_set) = empty_set
% 3.08/0.89 & f11(cy,cy) = cy
% 3.08/0.89 & f11(cy,a) = empty_set
% 3.08/0.89 & f11(a,empty_set) = empty_set
% 3.08/0.89 & f11(a,cy) = cy
% 3.08/0.89 & f11(a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_subspace_topology,type,subspace_topology: $i * $i * $i > $i).
% 3.08/0.89 tff(function_subspace_topology,axiom,
% 3.08/0.89 subspace_topology(empty_set,empty_set,empty_set) = a
% 3.08/0.89 & subspace_topology(empty_set,empty_set,cy) = cy
% 3.08/0.89 & subspace_topology(empty_set,empty_set,a) = empty_set
% 3.08/0.89 & subspace_topology(empty_set,cy,empty_set) = a
% 3.08/0.89 & subspace_topology(empty_set,cy,cy) = a
% 3.08/0.89 & subspace_topology(empty_set,cy,a) = a
% 3.08/0.89 & subspace_topology(empty_set,a,empty_set) = a
% 3.08/0.89 & subspace_topology(empty_set,a,cy) = a
% 3.08/0.89 & subspace_topology(empty_set,a,a) = a
% 3.08/0.89 & subspace_topology(cy,empty_set,empty_set) = a
% 3.08/0.89 & subspace_topology(cy,empty_set,cy) = cy
% 3.08/0.89 & subspace_topology(cy,empty_set,a) = a
% 3.08/0.89 & subspace_topology(cy,cy,empty_set) = a
% 3.08/0.89 & subspace_topology(cy,cy,cy) = cy
% 3.08/0.89 & subspace_topology(cy,cy,a) = a
% 3.08/0.89 & subspace_topology(cy,a,empty_set) = a
% 3.08/0.89 & subspace_topology(cy,a,cy) = a
% 3.08/0.89 & subspace_topology(cy,a,a) = a
% 3.08/0.89 & subspace_topology(a,empty_set,empty_set) = a
% 3.08/0.89 & subspace_topology(a,empty_set,cy) = a
% 3.08/0.89 & subspace_topology(a,empty_set,a) = a
% 3.08/0.89 & subspace_topology(a,cy,empty_set) = a
% 3.08/0.89 & subspace_topology(a,cy,cy) = a
% 3.08/0.89 & subspace_topology(a,cy,a) = a
% 3.08/0.89 & subspace_topology(a,a,empty_set) = a
% 3.08/0.89 & subspace_topology(a,a,cy) = a
% 3.08/0.89 & subspace_topology(a,a,a) = a
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f12,type,f12: $i * $i * $i * $i > $i).
% 3.08/0.89 tff(function_f12,axiom,
% 3.08/0.89 f12(empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f12(empty_set,empty_set,empty_set,cy) = cy
% 3.08/0.89 & f12(empty_set,empty_set,empty_set,a) = cy
% 3.08/0.89 & f12(empty_set,empty_set,cy,empty_set) = empty_set
% 3.08/0.89 & f12(empty_set,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f12(empty_set,empty_set,cy,a) = empty_set
% 3.08/0.89 & f12(empty_set,empty_set,a,empty_set) = cy
% 3.08/0.89 & f12(empty_set,empty_set,a,cy) = empty_set
% 3.08/0.89 & f12(empty_set,empty_set,a,a) = a
% 3.08/0.89 & f12(empty_set,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f12(empty_set,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f12(empty_set,cy,empty_set,a) = cy
% 3.08/0.89 & f12(empty_set,cy,cy,empty_set) = a
% 3.08/0.89 & f12(empty_set,cy,cy,cy) = cy
% 3.08/0.89 & f12(empty_set,cy,cy,a) = a
% 3.08/0.89 & f12(empty_set,cy,a,empty_set) = cy
% 3.08/0.89 & f12(empty_set,cy,a,cy) = empty_set
% 3.08/0.89 & f12(empty_set,cy,a,a) = empty_set
% 3.08/0.89 & f12(empty_set,a,empty_set,empty_set) = a
% 3.08/0.89 & f12(empty_set,a,empty_set,cy) = cy
% 3.08/0.89 & f12(empty_set,a,empty_set,a) = a
% 3.08/0.89 & f12(empty_set,a,cy,empty_set) = a
% 3.08/0.89 & f12(empty_set,a,cy,cy) = empty_set
% 3.08/0.89 & f12(empty_set,a,cy,a) = empty_set
% 3.08/0.89 & f12(empty_set,a,a,empty_set) = a
% 3.08/0.89 & f12(empty_set,a,a,cy) = empty_set
% 3.08/0.89 & f12(empty_set,a,a,a) = a
% 3.08/0.89 & f12(cy,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f12(cy,empty_set,empty_set,cy) = cy
% 3.08/0.89 & f12(cy,empty_set,empty_set,a) = cy
% 3.08/0.89 & f12(cy,empty_set,cy,empty_set) = empty_set
% 3.08/0.89 & f12(cy,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f12(cy,empty_set,cy,a) = empty_set
% 3.08/0.89 & f12(cy,empty_set,a,empty_set) = cy
% 3.08/0.89 & f12(cy,empty_set,a,cy) = empty_set
% 3.08/0.89 & f12(cy,empty_set,a,a) = cy
% 3.08/0.89 & f12(cy,cy,empty_set,empty_set) = a
% 3.08/0.89 & f12(cy,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f12(cy,cy,empty_set,a) = cy
% 3.08/0.89 & f12(cy,cy,cy,empty_set) = a
% 3.08/0.89 & f12(cy,cy,cy,cy) = empty_set
% 3.08/0.89 & f12(cy,cy,cy,a) = cy
% 3.08/0.89 & f12(cy,cy,a,empty_set) = cy
% 3.08/0.89 & f12(cy,cy,a,cy) = a
% 3.08/0.89 & f12(cy,cy,a,a) = cy
% 3.08/0.89 & f12(cy,a,empty_set,empty_set) = a
% 3.08/0.89 & f12(cy,a,empty_set,cy) = empty_set
% 3.08/0.89 & f12(cy,a,empty_set,a) = empty_set
% 3.08/0.89 & f12(cy,a,cy,empty_set) = cy
% 3.08/0.89 & f12(cy,a,cy,cy) = empty_set
% 3.08/0.89 & f12(cy,a,cy,a) = empty_set
% 3.08/0.89 & f12(cy,a,a,empty_set) = empty_set
% 3.08/0.89 & f12(cy,a,a,cy) = empty_set
% 3.08/0.89 & f12(cy,a,a,a) = empty_set
% 3.08/0.89 & f12(a,empty_set,empty_set,empty_set) = a
% 3.08/0.89 & f12(a,empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f12(a,empty_set,empty_set,a) = cy
% 3.08/0.89 & f12(a,empty_set,cy,empty_set) = a
% 3.08/0.89 & f12(a,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f12(a,empty_set,cy,a) = cy
% 3.08/0.89 & f12(a,empty_set,a,empty_set) = cy
% 3.08/0.89 & f12(a,empty_set,a,cy) = empty_set
% 3.08/0.89 & f12(a,empty_set,a,a) = empty_set
% 3.08/0.89 & f12(a,cy,empty_set,empty_set) = a
% 3.08/0.89 & f12(a,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f12(a,cy,empty_set,a) = a
% 3.08/0.89 & f12(a,cy,cy,empty_set) = empty_set
% 3.08/0.89 & f12(a,cy,cy,cy) = a
% 3.08/0.89 & f12(a,cy,cy,a) = cy
% 3.08/0.89 & f12(a,cy,a,empty_set) = a
% 3.08/0.89 & f12(a,cy,a,cy) = empty_set
% 3.08/0.89 & f12(a,cy,a,a) = cy
% 3.08/0.89 & f12(a,a,empty_set,empty_set) = empty_set
% 3.08/0.89 & f12(a,a,empty_set,cy) = empty_set
% 3.08/0.89 & f12(a,a,empty_set,a) = cy
% 3.08/0.89 & f12(a,a,cy,empty_set) = empty_set
% 3.08/0.89 & f12(a,a,cy,cy) = empty_set
% 3.08/0.89 & f12(a,a,cy,a) = empty_set
% 3.08/0.89 & f12(a,a,a,empty_set) = a
% 3.08/0.89 & f12(a,a,a,cy) = a
% 3.08/0.89 & f12(a,a,a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_interior,type,interior: $i * $i * $i > $i).
% 3.08/0.89 tff(function_interior,axiom,
% 3.08/0.89 interior(empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & interior(empty_set,empty_set,cy) = cy
% 3.08/0.89 & interior(empty_set,empty_set,a) = cy
% 3.08/0.89 & interior(empty_set,cy,empty_set) = cy
% 3.08/0.89 & interior(empty_set,cy,cy) = empty_set
% 3.08/0.89 & interior(empty_set,cy,a) = cy
% 3.08/0.89 & interior(empty_set,a,empty_set) = cy
% 3.08/0.89 & interior(empty_set,a,cy) = cy
% 3.08/0.89 & interior(empty_set,a,a) = cy
% 3.08/0.89 & interior(cy,empty_set,empty_set) = cy
% 3.08/0.89 & interior(cy,empty_set,cy) = cy
% 3.08/0.89 & interior(cy,empty_set,a) = cy
% 3.08/0.89 & interior(cy,cy,empty_set) = cy
% 3.08/0.89 & interior(cy,cy,cy) = cy
% 3.08/0.89 & interior(cy,cy,a) = cy
% 3.08/0.89 & interior(cy,a,empty_set) = cy
% 3.08/0.89 & interior(cy,a,cy) = cy
% 3.08/0.89 & interior(cy,a,a) = cy
% 3.08/0.89 & interior(a,empty_set,empty_set) = empty_set
% 3.08/0.89 & interior(a,empty_set,cy) = cy
% 3.08/0.89 & interior(a,empty_set,a) = cy
% 3.08/0.89 & interior(a,cy,empty_set) = cy
% 3.08/0.89 & interior(a,cy,cy) = cy
% 3.08/0.89 & interior(a,cy,a) = cy
% 3.08/0.89 & interior(a,a,empty_set) = cy
% 3.08/0.89 & interior(a,a,cy) = cy
% 3.08/0.89 & interior(a,a,a) = cy
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f13,type,f13: $i * $i * $i * $i > $i).
% 3.08/0.89 tff(function_f13,axiom,
% 3.08/0.89 f13(empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f13(empty_set,empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f13(empty_set,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f13(empty_set,empty_set,cy,empty_set) = a
% 3.08/0.89 & f13(empty_set,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f13(empty_set,empty_set,cy,a) = empty_set
% 3.08/0.89 & f13(empty_set,empty_set,a,empty_set) = cy
% 3.08/0.89 & f13(empty_set,empty_set,a,cy) = empty_set
% 3.08/0.89 & f13(empty_set,empty_set,a,a) = cy
% 3.08/0.89 & f13(empty_set,cy,empty_set,empty_set) = cy
% 3.08/0.89 & f13(empty_set,cy,empty_set,cy) = cy
% 3.08/0.89 & f13(empty_set,cy,empty_set,a) = a
% 3.08/0.89 & f13(empty_set,cy,cy,empty_set) = cy
% 3.08/0.89 & f13(empty_set,cy,cy,cy) = empty_set
% 3.08/0.89 & f13(empty_set,cy,cy,a) = empty_set
% 3.08/0.89 & f13(empty_set,cy,a,empty_set) = cy
% 3.08/0.89 & f13(empty_set,cy,a,cy) = a
% 3.08/0.89 & f13(empty_set,cy,a,a) = a
% 3.08/0.89 & f13(empty_set,a,empty_set,empty_set) = a
% 3.08/0.89 & f13(empty_set,a,empty_set,cy) = a
% 3.08/0.89 & f13(empty_set,a,empty_set,a) = cy
% 3.08/0.89 & f13(empty_set,a,cy,empty_set) = a
% 3.08/0.89 & f13(empty_set,a,cy,cy) = cy
% 3.08/0.89 & f13(empty_set,a,cy,a) = a
% 3.08/0.89 & f13(empty_set,a,a,empty_set) = a
% 3.08/0.89 & f13(empty_set,a,a,cy) = cy
% 3.08/0.89 & f13(empty_set,a,a,a) = cy
% 3.08/0.89 & f13(cy,empty_set,empty_set,empty_set) = cy
% 3.08/0.89 & f13(cy,empty_set,empty_set,cy) = cy
% 3.08/0.89 & f13(cy,empty_set,empty_set,a) = a
% 3.08/0.89 & f13(cy,empty_set,cy,empty_set) = empty_set
% 3.08/0.89 & f13(cy,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f13(cy,empty_set,cy,a) = empty_set
% 3.08/0.89 & f13(cy,empty_set,a,empty_set) = cy
% 3.08/0.89 & f13(cy,empty_set,a,cy) = a
% 3.08/0.89 & f13(cy,empty_set,a,a) = cy
% 3.08/0.89 & f13(cy,cy,empty_set,empty_set) = cy
% 3.08/0.89 & f13(cy,cy,empty_set,cy) = a
% 3.08/0.89 & f13(cy,cy,empty_set,a) = cy
% 3.08/0.89 & f13(cy,cy,cy,empty_set) = cy
% 3.08/0.89 & f13(cy,cy,cy,cy) = a
% 3.08/0.89 & f13(cy,cy,cy,a) = a
% 3.08/0.89 & f13(cy,cy,a,empty_set) = cy
% 3.08/0.89 & f13(cy,cy,a,cy) = cy
% 3.08/0.89 & f13(cy,cy,a,a) = a
% 3.08/0.89 & f13(cy,a,empty_set,empty_set) = cy
% 3.08/0.89 & f13(cy,a,empty_set,cy) = cy
% 3.08/0.89 & f13(cy,a,empty_set,a) = a
% 3.08/0.89 & f13(cy,a,cy,empty_set) = cy
% 3.08/0.89 & f13(cy,a,cy,cy) = cy
% 3.08/0.89 & f13(cy,a,cy,a) = cy
% 3.08/0.89 & f13(cy,a,a,empty_set) = cy
% 3.08/0.89 & f13(cy,a,a,cy) = empty_set
% 3.08/0.89 & f13(cy,a,a,a) = empty_set
% 3.08/0.89 & f13(a,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f13(a,empty_set,empty_set,cy) = a
% 3.08/0.89 & f13(a,empty_set,empty_set,a) = cy
% 3.08/0.89 & f13(a,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f13(a,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f13(a,empty_set,cy,a) = a
% 3.08/0.89 & f13(a,empty_set,a,empty_set) = cy
% 3.08/0.89 & f13(a,empty_set,a,cy) = cy
% 3.08/0.89 & f13(a,empty_set,a,a) = cy
% 3.08/0.89 & f13(a,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f13(a,cy,empty_set,cy) = cy
% 3.08/0.89 & f13(a,cy,empty_set,a) = empty_set
% 3.08/0.89 & f13(a,cy,cy,empty_set) = a
% 3.08/0.89 & f13(a,cy,cy,cy) = cy
% 3.08/0.89 & f13(a,cy,cy,a) = empty_set
% 3.08/0.89 & f13(a,cy,a,empty_set) = a
% 3.08/0.89 & f13(a,cy,a,cy) = cy
% 3.08/0.89 & f13(a,cy,a,a) = cy
% 3.08/0.89 & f13(a,a,empty_set,empty_set) = cy
% 3.08/0.89 & f13(a,a,empty_set,cy) = cy
% 3.08/0.89 & f13(a,a,empty_set,a) = a
% 3.08/0.89 & f13(a,a,cy,empty_set) = cy
% 3.08/0.89 & f13(a,a,cy,cy) = empty_set
% 3.08/0.89 & f13(a,a,cy,a) = a
% 3.08/0.89 & f13(a,a,a,empty_set) = cy
% 3.08/0.89 & f13(a,a,a,cy) = a
% 3.08/0.89 & f13(a,a,a,a) = a
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_closure,type,closure: $i * $i * $i > $i).
% 3.08/0.89 tff(function_closure,axiom,
% 3.08/0.89 closure(empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & closure(empty_set,empty_set,cy) = cy
% 3.08/0.89 & closure(empty_set,empty_set,a) = cy
% 3.08/0.89 & closure(empty_set,cy,empty_set) = cy
% 3.08/0.89 & closure(empty_set,cy,cy) = cy
% 3.08/0.89 & closure(empty_set,cy,a) = cy
% 3.08/0.89 & closure(empty_set,a,empty_set) = cy
% 3.08/0.89 & closure(empty_set,a,cy) = cy
% 3.08/0.89 & closure(empty_set,a,a) = cy
% 3.08/0.89 & closure(cy,empty_set,empty_set) = a
% 3.08/0.89 & closure(cy,empty_set,cy) = cy
% 3.08/0.89 & closure(cy,empty_set,a) = cy
% 3.08/0.89 & closure(cy,cy,empty_set) = a
% 3.08/0.89 & closure(cy,cy,cy) = cy
% 3.08/0.89 & closure(cy,cy,a) = cy
% 3.08/0.89 & closure(cy,a,empty_set) = cy
% 3.08/0.89 & closure(cy,a,cy) = cy
% 3.08/0.89 & closure(cy,a,a) = cy
% 3.08/0.89 & closure(a,empty_set,empty_set) = a
% 3.08/0.89 & closure(a,empty_set,cy) = cy
% 3.08/0.89 & closure(a,empty_set,a) = cy
% 3.08/0.89 & closure(a,cy,empty_set) = empty_set
% 3.08/0.89 & closure(a,cy,cy) = empty_set
% 3.08/0.89 & closure(a,cy,a) = cy
% 3.08/0.89 & closure(a,a,empty_set) = cy
% 3.08/0.89 & closure(a,a,cy) = cy
% 3.08/0.89 & closure(a,a,a) = cy
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f14,type,f14: $i * $i * $i * $i > $i).
% 3.08/0.89 tff(function_f14,axiom,
% 3.08/0.89 f14(empty_set,empty_set,empty_set,empty_set) = cy
% 3.08/0.89 & f14(empty_set,empty_set,empty_set,cy) = cy
% 3.08/0.89 & f14(empty_set,empty_set,empty_set,a) = a
% 3.08/0.89 & f14(empty_set,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f14(empty_set,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f14(empty_set,empty_set,cy,a) = a
% 3.08/0.89 & f14(empty_set,empty_set,a,empty_set) = cy
% 3.08/0.89 & f14(empty_set,empty_set,a,cy) = cy
% 3.08/0.89 & f14(empty_set,empty_set,a,a) = a
% 3.08/0.89 & f14(empty_set,cy,empty_set,empty_set) = a
% 3.08/0.89 & f14(empty_set,cy,empty_set,cy) = cy
% 3.08/0.89 & f14(empty_set,cy,empty_set,a) = a
% 3.08/0.89 & f14(empty_set,cy,cy,empty_set) = cy
% 3.08/0.89 & f14(empty_set,cy,cy,cy) = cy
% 3.08/0.89 & f14(empty_set,cy,cy,a) = a
% 3.08/0.89 & f14(empty_set,cy,a,empty_set) = a
% 3.08/0.89 & f14(empty_set,cy,a,cy) = cy
% 3.08/0.89 & f14(empty_set,cy,a,a) = empty_set
% 3.08/0.89 & f14(empty_set,a,empty_set,empty_set) = cy
% 3.08/0.89 & f14(empty_set,a,empty_set,cy) = cy
% 3.08/0.89 & f14(empty_set,a,empty_set,a) = a
% 3.08/0.89 & f14(empty_set,a,cy,empty_set) = cy
% 3.08/0.89 & f14(empty_set,a,cy,cy) = a
% 3.08/0.89 & f14(empty_set,a,cy,a) = empty_set
% 3.08/0.89 & f14(empty_set,a,a,empty_set) = a
% 3.08/0.89 & f14(empty_set,a,a,cy) = a
% 3.08/0.89 & f14(empty_set,a,a,a) = a
% 3.08/0.89 & f14(cy,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f14(cy,empty_set,empty_set,cy) = a
% 3.08/0.89 & f14(cy,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f14(cy,empty_set,cy,empty_set) = empty_set
% 3.08/0.89 & f14(cy,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f14(cy,empty_set,cy,a) = empty_set
% 3.08/0.89 & f14(cy,empty_set,a,empty_set) = cy
% 3.08/0.89 & f14(cy,empty_set,a,cy) = a
% 3.08/0.89 & f14(cy,empty_set,a,a) = a
% 3.08/0.89 & f14(cy,cy,empty_set,empty_set) = cy
% 3.08/0.89 & f14(cy,cy,empty_set,cy) = cy
% 3.08/0.89 & f14(cy,cy,empty_set,a) = cy
% 3.08/0.89 & f14(cy,cy,cy,empty_set) = cy
% 3.08/0.89 & f14(cy,cy,cy,cy) = empty_set
% 3.08/0.89 & f14(cy,cy,cy,a) = empty_set
% 3.08/0.89 & f14(cy,cy,a,empty_set) = a
% 3.08/0.89 & f14(cy,cy,a,cy) = empty_set
% 3.08/0.89 & f14(cy,cy,a,a) = empty_set
% 3.08/0.89 & f14(cy,a,empty_set,empty_set) = empty_set
% 3.08/0.89 & f14(cy,a,empty_set,cy) = cy
% 3.08/0.89 & f14(cy,a,empty_set,a) = empty_set
% 3.08/0.89 & f14(cy,a,cy,empty_set) = cy
% 3.08/0.89 & f14(cy,a,cy,cy) = a
% 3.08/0.89 & f14(cy,a,cy,a) = cy
% 3.08/0.89 & f14(cy,a,a,empty_set) = cy
% 3.08/0.89 & f14(cy,a,a,cy) = empty_set
% 3.08/0.89 & f14(cy,a,a,a) = a
% 3.08/0.89 & f14(a,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f14(a,empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f14(a,empty_set,empty_set,a) = cy
% 3.08/0.89 & f14(a,empty_set,cy,empty_set) = a
% 3.08/0.89 & f14(a,empty_set,cy,cy) = cy
% 3.08/0.89 & f14(a,empty_set,cy,a) = empty_set
% 3.08/0.89 & f14(a,empty_set,a,empty_set) = a
% 3.08/0.89 & f14(a,empty_set,a,cy) = empty_set
% 3.08/0.89 & f14(a,empty_set,a,a) = empty_set
% 3.08/0.89 & f14(a,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f14(a,cy,empty_set,cy) = a
% 3.08/0.89 & f14(a,cy,empty_set,a) = empty_set
% 3.08/0.89 & f14(a,cy,cy,empty_set) = empty_set
% 3.08/0.89 & f14(a,cy,cy,cy) = empty_set
% 3.08/0.89 & f14(a,cy,cy,a) = empty_set
% 3.08/0.89 & f14(a,cy,a,empty_set) = a
% 3.08/0.89 & f14(a,cy,a,cy) = a
% 3.08/0.89 & f14(a,cy,a,a) = cy
% 3.08/0.89 & f14(a,a,empty_set,empty_set) = a
% 3.08/0.89 & f14(a,a,empty_set,cy) = cy
% 3.08/0.89 & f14(a,a,empty_set,a) = a
% 3.08/0.89 & f14(a,a,cy,empty_set) = empty_set
% 3.08/0.89 & f14(a,a,cy,cy) = empty_set
% 3.08/0.89 & f14(a,a,cy,a) = a
% 3.08/0.89 & f14(a,a,a,empty_set) = a
% 3.08/0.89 & f14(a,a,a,cy) = a
% 3.08/0.89 & f14(a,a,a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f15,type,f15: $i * $i * $i * $i * $i > $i).
% 3.08/0.89 tff(function_f15,axiom,
% 3.08/0.89 f15(empty_set,empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f15(empty_set,empty_set,empty_set,empty_set,cy) = cy
% 3.08/0.89 & f15(empty_set,empty_set,empty_set,empty_set,a) = a
% 3.08/0.89 & f15(empty_set,empty_set,empty_set,cy,empty_set) = a
% 3.08/0.89 & f15(empty_set,empty_set,empty_set,cy,cy) = a
% 3.08/0.89 & f15(empty_set,empty_set,empty_set,cy,a) = empty_set
% 3.08/0.89 & f15(empty_set,empty_set,empty_set,a,empty_set) = empty_set
% 3.08/0.89 & f15(empty_set,empty_set,empty_set,a,cy) = cy
% 3.08/0.89 & f15(empty_set,empty_set,empty_set,a,a) = cy
% 3.08/0.89 & f15(empty_set,empty_set,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f15(empty_set,empty_set,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f15(empty_set,empty_set,cy,empty_set,a) = empty_set
% 3.08/0.89 & f15(empty_set,empty_set,cy,cy,empty_set) = empty_set
% 3.08/0.89 & f15(empty_set,empty_set,cy,cy,cy) = empty_set
% 3.08/0.89 & f15(empty_set,empty_set,cy,cy,a) = a
% 3.08/0.89 & f15(empty_set,empty_set,cy,a,empty_set) = empty_set
% 3.08/0.89 & f15(empty_set,empty_set,cy,a,cy) = empty_set
% 3.08/0.89 & f15(empty_set,empty_set,cy,a,a) = cy
% 3.08/0.89 & f15(empty_set,empty_set,a,empty_set,empty_set) = cy
% 3.08/0.89 & f15(empty_set,empty_set,a,empty_set,cy) = cy
% 3.08/0.89 & f15(empty_set,empty_set,a,empty_set,a) = a
% 3.08/0.89 & f15(empty_set,empty_set,a,cy,empty_set) = a
% 3.08/0.89 & f15(empty_set,empty_set,a,cy,cy) = cy
% 3.08/0.89 & f15(empty_set,empty_set,a,cy,a) = a
% 3.08/0.89 & f15(empty_set,empty_set,a,a,empty_set) = cy
% 3.08/0.89 & f15(empty_set,empty_set,a,a,cy) = empty_set
% 3.08/0.89 & f15(empty_set,empty_set,a,a,a) = cy
% 3.08/0.89 & f15(empty_set,cy,empty_set,empty_set,empty_set) = a
% 3.08/0.89 & f15(empty_set,cy,empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f15(empty_set,cy,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f15(empty_set,cy,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f15(empty_set,cy,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f15(empty_set,cy,empty_set,cy,a) = cy
% 3.08/0.89 & f15(empty_set,cy,empty_set,a,empty_set) = empty_set
% 3.08/0.89 & f15(empty_set,cy,empty_set,a,cy) = cy
% 3.08/0.89 & f15(empty_set,cy,empty_set,a,a) = empty_set
% 3.08/0.89 & f15(empty_set,cy,cy,empty_set,empty_set) = cy
% 3.08/0.89 & f15(empty_set,cy,cy,empty_set,cy) = cy
% 3.08/0.89 & f15(empty_set,cy,cy,empty_set,a) = cy
% 3.08/0.89 & f15(empty_set,cy,cy,cy,empty_set) = a
% 3.08/0.89 & f15(empty_set,cy,cy,cy,cy) = empty_set
% 3.08/0.89 & f15(empty_set,cy,cy,cy,a) = empty_set
% 3.08/0.89 & f15(empty_set,cy,cy,a,empty_set) = a
% 3.08/0.89 & f15(empty_set,cy,cy,a,cy) = empty_set
% 3.08/0.89 & f15(empty_set,cy,cy,a,a) = empty_set
% 3.08/0.89 & f15(empty_set,cy,a,empty_set,empty_set) = cy
% 3.08/0.89 & f15(empty_set,cy,a,empty_set,cy) = cy
% 3.08/0.89 & f15(empty_set,cy,a,empty_set,a) = cy
% 3.08/0.89 & f15(empty_set,cy,a,cy,empty_set) = cy
% 3.08/0.89 & f15(empty_set,cy,a,cy,cy) = cy
% 3.08/0.89 & f15(empty_set,cy,a,cy,a) = a
% 3.08/0.89 & f15(empty_set,cy,a,a,empty_set) = a
% 3.08/0.89 & f15(empty_set,cy,a,a,cy) = cy
% 3.08/0.89 & f15(empty_set,cy,a,a,a) = a
% 3.08/0.89 & f15(empty_set,a,empty_set,empty_set,empty_set) = cy
% 3.08/0.89 & f15(empty_set,a,empty_set,empty_set,cy) = cy
% 3.08/0.89 & f15(empty_set,a,empty_set,empty_set,a) = a
% 3.08/0.89 & f15(empty_set,a,empty_set,cy,empty_set) = empty_set
% 3.08/0.89 & f15(empty_set,a,empty_set,cy,cy) = cy
% 3.08/0.89 & f15(empty_set,a,empty_set,cy,a) = empty_set
% 3.08/0.89 & f15(empty_set,a,empty_set,a,empty_set) = cy
% 3.08/0.89 & f15(empty_set,a,empty_set,a,cy) = a
% 3.08/0.89 & f15(empty_set,a,empty_set,a,a) = a
% 3.08/0.89 & f15(empty_set,a,cy,empty_set,empty_set) = a
% 3.08/0.89 & f15(empty_set,a,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f15(empty_set,a,cy,empty_set,a) = empty_set
% 3.08/0.89 & f15(empty_set,a,cy,cy,empty_set) = cy
% 3.08/0.89 & f15(empty_set,a,cy,cy,cy) = empty_set
% 3.08/0.89 & f15(empty_set,a,cy,cy,a) = a
% 3.08/0.89 & f15(empty_set,a,cy,a,empty_set) = a
% 3.08/0.89 & f15(empty_set,a,cy,a,cy) = cy
% 3.08/0.89 & f15(empty_set,a,cy,a,a) = a
% 3.08/0.89 & f15(empty_set,a,a,empty_set,empty_set) = a
% 3.08/0.89 & f15(empty_set,a,a,empty_set,cy) = empty_set
% 3.08/0.89 & f15(empty_set,a,a,empty_set,a) = cy
% 3.08/0.89 & f15(empty_set,a,a,cy,empty_set) = a
% 3.08/0.89 & f15(empty_set,a,a,cy,cy) = cy
% 3.08/0.89 & f15(empty_set,a,a,cy,a) = empty_set
% 3.08/0.89 & f15(empty_set,a,a,a,empty_set) = a
% 3.08/0.89 & f15(empty_set,a,a,a,cy) = a
% 3.08/0.89 & f15(empty_set,a,a,a,a) = cy
% 3.08/0.89 & f15(cy,empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f15(cy,empty_set,empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f15(cy,empty_set,empty_set,empty_set,a) = a
% 3.08/0.89 & f15(cy,empty_set,empty_set,cy,empty_set) = a
% 3.08/0.89 & f15(cy,empty_set,empty_set,cy,cy) = a
% 3.08/0.89 & f15(cy,empty_set,empty_set,cy,a) = a
% 3.08/0.89 & f15(cy,empty_set,empty_set,a,empty_set) = a
% 3.08/0.89 & f15(cy,empty_set,empty_set,a,cy) = cy
% 3.08/0.89 & f15(cy,empty_set,empty_set,a,a) = empty_set
% 3.08/0.89 & f15(cy,empty_set,cy,empty_set,empty_set) = a
% 3.08/0.89 & f15(cy,empty_set,cy,empty_set,cy) = a
% 3.08/0.89 & f15(cy,empty_set,cy,empty_set,a) = cy
% 3.08/0.89 & f15(cy,empty_set,cy,cy,empty_set) = a
% 3.08/0.89 & f15(cy,empty_set,cy,cy,cy) = empty_set
% 3.08/0.89 & f15(cy,empty_set,cy,cy,a) = empty_set
% 3.08/0.89 & f15(cy,empty_set,cy,a,empty_set) = a
% 3.08/0.89 & f15(cy,empty_set,cy,a,cy) = a
% 3.08/0.89 & f15(cy,empty_set,cy,a,a) = cy
% 3.08/0.89 & f15(cy,empty_set,a,empty_set,empty_set) = cy
% 3.08/0.89 & f15(cy,empty_set,a,empty_set,cy) = cy
% 3.08/0.89 & f15(cy,empty_set,a,empty_set,a) = empty_set
% 3.08/0.89 & f15(cy,empty_set,a,cy,empty_set) = empty_set
% 3.08/0.89 & f15(cy,empty_set,a,cy,cy) = cy
% 3.08/0.89 & f15(cy,empty_set,a,cy,a) = cy
% 3.08/0.89 & f15(cy,empty_set,a,a,empty_set) = a
% 3.08/0.89 & f15(cy,empty_set,a,a,cy) = cy
% 3.08/0.89 & f15(cy,empty_set,a,a,a) = a
% 3.08/0.89 & f15(cy,cy,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f15(cy,cy,empty_set,empty_set,cy) = cy
% 3.08/0.89 & f15(cy,cy,empty_set,empty_set,a) = cy
% 3.08/0.89 & f15(cy,cy,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f15(cy,cy,empty_set,cy,cy) = cy
% 3.08/0.89 & f15(cy,cy,empty_set,cy,a) = a
% 3.08/0.89 & f15(cy,cy,empty_set,a,empty_set) = empty_set
% 3.08/0.89 & f15(cy,cy,empty_set,a,cy) = empty_set
% 3.08/0.89 & f15(cy,cy,empty_set,a,a) = empty_set
% 3.08/0.89 & f15(cy,cy,cy,empty_set,empty_set) = cy
% 3.08/0.89 & f15(cy,cy,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f15(cy,cy,cy,empty_set,a) = a
% 3.08/0.89 & f15(cy,cy,cy,cy,empty_set) = cy
% 3.08/0.89 & f15(cy,cy,cy,cy,cy) = empty_set
% 3.08/0.89 & f15(cy,cy,cy,cy,a) = cy
% 3.08/0.89 & f15(cy,cy,cy,a,empty_set) = a
% 3.08/0.89 & f15(cy,cy,cy,a,cy) = a
% 3.08/0.89 & f15(cy,cy,cy,a,a) = empty_set
% 3.08/0.89 & f15(cy,cy,a,empty_set,empty_set) = a
% 3.08/0.89 & f15(cy,cy,a,empty_set,cy) = empty_set
% 3.08/0.89 & f15(cy,cy,a,empty_set,a) = empty_set
% 3.08/0.89 & f15(cy,cy,a,cy,empty_set) = a
% 3.08/0.89 & f15(cy,cy,a,cy,cy) = a
% 3.08/0.89 & f15(cy,cy,a,cy,a) = empty_set
% 3.08/0.89 & f15(cy,cy,a,a,empty_set) = cy
% 3.08/0.89 & f15(cy,cy,a,a,cy) = empty_set
% 3.08/0.89 & f15(cy,cy,a,a,a) = cy
% 3.08/0.89 & f15(cy,a,empty_set,empty_set,empty_set) = a
% 3.08/0.89 & f15(cy,a,empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f15(cy,a,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f15(cy,a,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f15(cy,a,empty_set,cy,cy) = cy
% 3.08/0.89 & f15(cy,a,empty_set,cy,a) = empty_set
% 3.08/0.89 & f15(cy,a,empty_set,a,empty_set) = cy
% 3.08/0.89 & f15(cy,a,empty_set,a,cy) = a
% 3.08/0.89 & f15(cy,a,empty_set,a,a) = a
% 3.08/0.89 & f15(cy,a,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f15(cy,a,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f15(cy,a,cy,empty_set,a) = cy
% 3.08/0.89 & f15(cy,a,cy,cy,empty_set) = cy
% 3.08/0.89 & f15(cy,a,cy,cy,cy) = empty_set
% 3.08/0.89 & f15(cy,a,cy,cy,a) = cy
% 3.08/0.89 & f15(cy,a,cy,a,empty_set) = empty_set
% 3.08/0.89 & f15(cy,a,cy,a,cy) = cy
% 3.08/0.89 & f15(cy,a,cy,a,a) = empty_set
% 3.08/0.89 & f15(cy,a,a,empty_set,empty_set) = cy
% 3.08/0.89 & f15(cy,a,a,empty_set,cy) = a
% 3.08/0.89 & f15(cy,a,a,empty_set,a) = cy
% 3.08/0.89 & f15(cy,a,a,cy,empty_set) = cy
% 3.08/0.89 & f15(cy,a,a,cy,cy) = cy
% 3.08/0.89 & f15(cy,a,a,cy,a) = empty_set
% 3.08/0.89 & f15(cy,a,a,a,empty_set) = cy
% 3.08/0.89 & f15(cy,a,a,a,cy) = empty_set
% 3.08/0.89 & f15(cy,a,a,a,a) = empty_set
% 3.08/0.89 & f15(a,empty_set,empty_set,empty_set,empty_set) = a
% 3.08/0.89 & f15(a,empty_set,empty_set,empty_set,cy) = a
% 3.08/0.89 & f15(a,empty_set,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f15(a,empty_set,empty_set,cy,empty_set) = a
% 3.08/0.89 & f15(a,empty_set,empty_set,cy,cy) = cy
% 3.08/0.89 & f15(a,empty_set,empty_set,cy,a) = cy
% 3.08/0.89 & f15(a,empty_set,empty_set,a,empty_set) = cy
% 3.08/0.89 & f15(a,empty_set,empty_set,a,cy) = cy
% 3.08/0.89 & f15(a,empty_set,empty_set,a,a) = empty_set
% 3.08/0.89 & f15(a,empty_set,cy,empty_set,empty_set) = a
% 3.08/0.89 & f15(a,empty_set,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f15(a,empty_set,cy,empty_set,a) = cy
% 3.08/0.89 & f15(a,empty_set,cy,cy,empty_set) = cy
% 3.08/0.89 & f15(a,empty_set,cy,cy,cy) = empty_set
% 3.08/0.89 & f15(a,empty_set,cy,cy,a) = empty_set
% 3.08/0.89 & f15(a,empty_set,cy,a,empty_set) = a
% 3.08/0.89 & f15(a,empty_set,cy,a,cy) = a
% 3.08/0.89 & f15(a,empty_set,cy,a,a) = cy
% 3.08/0.89 & f15(a,empty_set,a,empty_set,empty_set) = cy
% 3.08/0.89 & f15(a,empty_set,a,empty_set,cy) = empty_set
% 3.08/0.89 & f15(a,empty_set,a,empty_set,a) = empty_set
% 3.08/0.89 & f15(a,empty_set,a,cy,empty_set) = a
% 3.08/0.89 & f15(a,empty_set,a,cy,cy) = empty_set
% 3.08/0.89 & f15(a,empty_set,a,cy,a) = empty_set
% 3.08/0.89 & f15(a,empty_set,a,a,empty_set) = cy
% 3.08/0.89 & f15(a,empty_set,a,a,cy) = a
% 3.08/0.89 & f15(a,empty_set,a,a,a) = empty_set
% 3.08/0.89 & f15(a,cy,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f15(a,cy,empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f15(a,cy,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f15(a,cy,empty_set,cy,empty_set) = empty_set
% 3.08/0.89 & f15(a,cy,empty_set,cy,cy) = cy
% 3.08/0.89 & f15(a,cy,empty_set,cy,a) = empty_set
% 3.08/0.89 & f15(a,cy,empty_set,a,empty_set) = cy
% 3.08/0.89 & f15(a,cy,empty_set,a,cy) = cy
% 3.08/0.89 & f15(a,cy,empty_set,a,a) = empty_set
% 3.08/0.89 & f15(a,cy,cy,empty_set,empty_set) = cy
% 3.08/0.89 & f15(a,cy,cy,empty_set,cy) = cy
% 3.08/0.89 & f15(a,cy,cy,empty_set,a) = empty_set
% 3.08/0.89 & f15(a,cy,cy,cy,empty_set) = a
% 3.08/0.89 & f15(a,cy,cy,cy,cy) = empty_set
% 3.08/0.89 & f15(a,cy,cy,cy,a) = empty_set
% 3.08/0.89 & f15(a,cy,cy,a,empty_set) = cy
% 3.08/0.89 & f15(a,cy,cy,a,cy) = empty_set
% 3.08/0.89 & f15(a,cy,cy,a,a) = a
% 3.08/0.89 & f15(a,cy,a,empty_set,empty_set) = empty_set
% 3.08/0.89 & f15(a,cy,a,empty_set,cy) = empty_set
% 3.08/0.89 & f15(a,cy,a,empty_set,a) = empty_set
% 3.08/0.89 & f15(a,cy,a,cy,empty_set) = cy
% 3.08/0.89 & f15(a,cy,a,cy,cy) = cy
% 3.08/0.89 & f15(a,cy,a,cy,a) = empty_set
% 3.08/0.89 & f15(a,cy,a,a,empty_set) = a
% 3.08/0.89 & f15(a,cy,a,a,cy) = empty_set
% 3.08/0.89 & f15(a,cy,a,a,a) = cy
% 3.08/0.89 & f15(a,a,empty_set,empty_set,empty_set) = cy
% 3.08/0.89 & f15(a,a,empty_set,empty_set,cy) = cy
% 3.08/0.89 & f15(a,a,empty_set,empty_set,a) = cy
% 3.08/0.89 & f15(a,a,empty_set,cy,empty_set) = empty_set
% 3.08/0.89 & f15(a,a,empty_set,cy,cy) = cy
% 3.08/0.89 & f15(a,a,empty_set,cy,a) = a
% 3.08/0.89 & f15(a,a,empty_set,a,empty_set) = a
% 3.08/0.89 & f15(a,a,empty_set,a,cy) = cy
% 3.08/0.89 & f15(a,a,empty_set,a,a) = empty_set
% 3.08/0.89 & f15(a,a,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f15(a,a,cy,empty_set,cy) = a
% 3.08/0.89 & f15(a,a,cy,empty_set,a) = cy
% 3.08/0.89 & f15(a,a,cy,cy,empty_set) = a
% 3.08/0.89 & f15(a,a,cy,cy,cy) = empty_set
% 3.08/0.89 & f15(a,a,cy,cy,a) = cy
% 3.08/0.89 & f15(a,a,cy,a,empty_set) = empty_set
% 3.08/0.89 & f15(a,a,cy,a,cy) = a
% 3.08/0.89 & f15(a,a,cy,a,a) = cy
% 3.08/0.89 & f15(a,a,a,empty_set,empty_set) = empty_set
% 3.08/0.89 & f15(a,a,a,empty_set,cy) = a
% 3.08/0.89 & f15(a,a,a,empty_set,a) = empty_set
% 3.08/0.89 & f15(a,a,a,cy,empty_set) = cy
% 3.08/0.89 & f15(a,a,a,cy,cy) = empty_set
% 3.08/0.89 & f15(a,a,a,cy,a) = cy
% 3.08/0.89 & f15(a,a,a,a,empty_set) = empty_set
% 3.08/0.89 & f15(a,a,a,a,cy) = empty_set
% 3.08/0.89 & f15(a,a,a,a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f16,type,f16: $i * $i * $i * $i > $i).
% 3.08/0.89 tff(function_f16,axiom,
% 3.08/0.89 f16(empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f16(empty_set,empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f16(empty_set,empty_set,empty_set,a) = cy
% 3.08/0.89 & f16(empty_set,empty_set,cy,empty_set) = a
% 3.08/0.89 & f16(empty_set,empty_set,cy,cy) = cy
% 3.08/0.89 & f16(empty_set,empty_set,cy,a) = empty_set
% 3.08/0.89 & f16(empty_set,empty_set,a,empty_set) = empty_set
% 3.08/0.89 & f16(empty_set,empty_set,a,cy) = empty_set
% 3.08/0.89 & f16(empty_set,empty_set,a,a) = cy
% 3.08/0.89 & f16(empty_set,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f16(empty_set,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f16(empty_set,cy,empty_set,a) = cy
% 3.08/0.89 & f16(empty_set,cy,cy,empty_set) = a
% 3.08/0.89 & f16(empty_set,cy,cy,cy) = a
% 3.08/0.89 & f16(empty_set,cy,cy,a) = empty_set
% 3.08/0.89 & f16(empty_set,cy,a,empty_set) = cy
% 3.08/0.89 & f16(empty_set,cy,a,cy) = a
% 3.08/0.89 & f16(empty_set,cy,a,a) = empty_set
% 3.08/0.89 & f16(empty_set,a,empty_set,empty_set) = cy
% 3.08/0.89 & f16(empty_set,a,empty_set,cy) = a
% 3.08/0.89 & f16(empty_set,a,empty_set,a) = a
% 3.08/0.89 & f16(empty_set,a,cy,empty_set) = a
% 3.08/0.89 & f16(empty_set,a,cy,cy) = empty_set
% 3.08/0.89 & f16(empty_set,a,cy,a) = cy
% 3.08/0.89 & f16(empty_set,a,a,empty_set) = cy
% 3.08/0.89 & f16(empty_set,a,a,cy) = cy
% 3.08/0.89 & f16(empty_set,a,a,a) = cy
% 3.08/0.89 & f16(cy,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f16(cy,empty_set,empty_set,cy) = a
% 3.08/0.89 & f16(cy,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f16(cy,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f16(cy,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f16(cy,empty_set,cy,a) = a
% 3.08/0.89 & f16(cy,empty_set,a,empty_set) = cy
% 3.08/0.89 & f16(cy,empty_set,a,cy) = empty_set
% 3.08/0.89 & f16(cy,empty_set,a,a) = empty_set
% 3.08/0.89 & f16(cy,cy,empty_set,empty_set) = cy
% 3.08/0.89 & f16(cy,cy,empty_set,cy) = cy
% 3.08/0.89 & f16(cy,cy,empty_set,a) = empty_set
% 3.08/0.89 & f16(cy,cy,cy,empty_set) = a
% 3.08/0.89 & f16(cy,cy,cy,cy) = a
% 3.08/0.89 & f16(cy,cy,cy,a) = empty_set
% 3.08/0.89 & f16(cy,cy,a,empty_set) = cy
% 3.08/0.89 & f16(cy,cy,a,cy) = empty_set
% 3.08/0.89 & f16(cy,cy,a,a) = a
% 3.08/0.89 & f16(cy,a,empty_set,empty_set) = a
% 3.08/0.89 & f16(cy,a,empty_set,cy) = cy
% 3.08/0.89 & f16(cy,a,empty_set,a) = a
% 3.08/0.89 & f16(cy,a,cy,empty_set) = cy
% 3.08/0.89 & f16(cy,a,cy,cy) = cy
% 3.08/0.89 & f16(cy,a,cy,a) = a
% 3.08/0.89 & f16(cy,a,a,empty_set) = cy
% 3.08/0.89 & f16(cy,a,a,cy) = empty_set
% 3.08/0.89 & f16(cy,a,a,a) = cy
% 3.08/0.89 & f16(a,empty_set,empty_set,empty_set) = cy
% 3.08/0.89 & f16(a,empty_set,empty_set,cy) = cy
% 3.08/0.89 & f16(a,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f16(a,empty_set,cy,empty_set) = empty_set
% 3.08/0.89 & f16(a,empty_set,cy,cy) = a
% 3.08/0.89 & f16(a,empty_set,cy,a) = cy
% 3.08/0.89 & f16(a,empty_set,a,empty_set) = a
% 3.08/0.89 & f16(a,empty_set,a,cy) = a
% 3.08/0.89 & f16(a,empty_set,a,a) = a
% 3.08/0.89 & f16(a,cy,empty_set,empty_set) = a
% 3.08/0.89 & f16(a,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f16(a,cy,empty_set,a) = empty_set
% 3.08/0.89 & f16(a,cy,cy,empty_set) = cy
% 3.08/0.89 & f16(a,cy,cy,cy) = a
% 3.08/0.89 & f16(a,cy,cy,a) = cy
% 3.08/0.89 & f16(a,cy,a,empty_set) = empty_set
% 3.08/0.89 & f16(a,cy,a,cy) = empty_set
% 3.08/0.89 & f16(a,cy,a,a) = a
% 3.08/0.89 & f16(a,a,empty_set,empty_set) = a
% 3.08/0.89 & f16(a,a,empty_set,cy) = a
% 3.08/0.89 & f16(a,a,empty_set,a) = a
% 3.08/0.89 & f16(a,a,cy,empty_set) = a
% 3.08/0.89 & f16(a,a,cy,cy) = a
% 3.08/0.89 & f16(a,a,cy,a) = a
% 3.08/0.89 & f16(a,a,a,empty_set) = empty_set
% 3.08/0.89 & f16(a,a,a,cy) = cy
% 3.08/0.89 & f16(a,a,a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_boundary,type,boundary: $i * $i * $i > $i).
% 3.08/0.89 tff(function_boundary,axiom,
% 3.08/0.89 boundary(empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & boundary(empty_set,empty_set,cy) = cy
% 3.08/0.89 & boundary(empty_set,empty_set,a) = cy
% 3.08/0.89 & boundary(empty_set,cy,empty_set) = cy
% 3.08/0.89 & boundary(empty_set,cy,cy) = cy
% 3.08/0.89 & boundary(empty_set,cy,a) = cy
% 3.08/0.89 & boundary(empty_set,a,empty_set) = cy
% 3.08/0.89 & boundary(empty_set,a,cy) = cy
% 3.08/0.89 & boundary(empty_set,a,a) = cy
% 3.08/0.89 & boundary(cy,empty_set,empty_set) = a
% 3.08/0.89 & boundary(cy,empty_set,cy) = cy
% 3.08/0.89 & boundary(cy,empty_set,a) = cy
% 3.08/0.89 & boundary(cy,cy,empty_set) = empty_set
% 3.08/0.89 & boundary(cy,cy,cy) = cy
% 3.08/0.89 & boundary(cy,cy,a) = cy
% 3.08/0.89 & boundary(cy,a,empty_set) = cy
% 3.08/0.89 & boundary(cy,a,cy) = cy
% 3.08/0.89 & boundary(cy,a,a) = cy
% 3.08/0.89 & boundary(a,empty_set,empty_set) = a
% 3.08/0.89 & boundary(a,empty_set,cy) = cy
% 3.08/0.89 & boundary(a,empty_set,a) = cy
% 3.08/0.89 & boundary(a,cy,empty_set) = empty_set
% 3.08/0.89 & boundary(a,cy,cy) = empty_set
% 3.08/0.89 & boundary(a,cy,a) = cy
% 3.08/0.89 & boundary(a,a,empty_set) = cy
% 3.08/0.89 & boundary(a,a,cy) = cy
% 3.08/0.89 & boundary(a,a,a) = cy
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f17,type,f17: $i * $i * $i * $i > $i).
% 3.08/0.89 tff(function_f17,axiom,
% 3.08/0.89 f17(empty_set,empty_set,empty_set,empty_set) = a
% 3.08/0.89 & f17(empty_set,empty_set,empty_set,cy) = a
% 3.08/0.89 & f17(empty_set,empty_set,empty_set,a) = a
% 3.08/0.89 & f17(empty_set,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f17(empty_set,empty_set,cy,cy) = a
% 3.08/0.89 & f17(empty_set,empty_set,cy,a) = empty_set
% 3.08/0.89 & f17(empty_set,empty_set,a,empty_set) = cy
% 3.08/0.89 & f17(empty_set,empty_set,a,cy) = empty_set
% 3.08/0.89 & f17(empty_set,empty_set,a,a) = cy
% 3.08/0.89 & f17(empty_set,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f17(empty_set,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f17(empty_set,cy,empty_set,a) = empty_set
% 3.08/0.89 & f17(empty_set,cy,cy,empty_set) = cy
% 3.08/0.89 & f17(empty_set,cy,cy,cy) = cy
% 3.08/0.89 & f17(empty_set,cy,cy,a) = empty_set
% 3.08/0.89 & f17(empty_set,cy,a,empty_set) = empty_set
% 3.08/0.89 & f17(empty_set,cy,a,cy) = cy
% 3.08/0.89 & f17(empty_set,cy,a,a) = cy
% 3.08/0.89 & f17(empty_set,a,empty_set,empty_set) = empty_set
% 3.08/0.89 & f17(empty_set,a,empty_set,cy) = empty_set
% 3.08/0.89 & f17(empty_set,a,empty_set,a) = cy
% 3.08/0.89 & f17(empty_set,a,cy,empty_set) = empty_set
% 3.08/0.89 & f17(empty_set,a,cy,cy) = empty_set
% 3.08/0.89 & f17(empty_set,a,cy,a) = empty_set
% 3.08/0.89 & f17(empty_set,a,a,empty_set) = empty_set
% 3.08/0.89 & f17(empty_set,a,a,cy) = empty_set
% 3.08/0.89 & f17(empty_set,a,a,a) = cy
% 3.08/0.89 & f17(cy,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f17(cy,empty_set,empty_set,cy) = empty_set
% 3.08/0.89 & f17(cy,empty_set,empty_set,a) = cy
% 3.08/0.89 & f17(cy,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f17(cy,empty_set,cy,cy) = a
% 3.08/0.89 & f17(cy,empty_set,cy,a) = empty_set
% 3.08/0.89 & f17(cy,empty_set,a,empty_set) = empty_set
% 3.08/0.89 & f17(cy,empty_set,a,cy) = a
% 3.08/0.89 & f17(cy,empty_set,a,a) = cy
% 3.08/0.89 & f17(cy,cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f17(cy,cy,empty_set,cy) = cy
% 3.08/0.89 & f17(cy,cy,empty_set,a) = cy
% 3.08/0.89 & f17(cy,cy,cy,empty_set) = cy
% 3.08/0.89 & f17(cy,cy,cy,cy) = a
% 3.08/0.89 & f17(cy,cy,cy,a) = a
% 3.08/0.89 & f17(cy,cy,a,empty_set) = cy
% 3.08/0.89 & f17(cy,cy,a,cy) = a
% 3.08/0.89 & f17(cy,cy,a,a) = empty_set
% 3.08/0.89 & f17(cy,a,empty_set,empty_set) = a
% 3.08/0.89 & f17(cy,a,empty_set,cy) = empty_set
% 3.08/0.89 & f17(cy,a,empty_set,a) = empty_set
% 3.08/0.89 & f17(cy,a,cy,empty_set) = a
% 3.08/0.89 & f17(cy,a,cy,cy) = cy
% 3.08/0.89 & f17(cy,a,cy,a) = a
% 3.08/0.89 & f17(cy,a,a,empty_set) = cy
% 3.08/0.89 & f17(cy,a,a,cy) = cy
% 3.08/0.89 & f17(cy,a,a,a) = a
% 3.08/0.89 & f17(a,empty_set,empty_set,empty_set) = a
% 3.08/0.89 & f17(a,empty_set,empty_set,cy) = a
% 3.08/0.89 & f17(a,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f17(a,empty_set,cy,empty_set) = a
% 3.08/0.89 & f17(a,empty_set,cy,cy) = empty_set
% 3.08/0.89 & f17(a,empty_set,cy,a) = a
% 3.08/0.89 & f17(a,empty_set,a,empty_set) = a
% 3.08/0.89 & f17(a,empty_set,a,cy) = a
% 3.08/0.89 & f17(a,empty_set,a,a) = cy
% 3.08/0.89 & f17(a,cy,empty_set,empty_set) = cy
% 3.08/0.89 & f17(a,cy,empty_set,cy) = cy
% 3.08/0.89 & f17(a,cy,empty_set,a) = empty_set
% 3.08/0.89 & f17(a,cy,cy,empty_set) = a
% 3.08/0.89 & f17(a,cy,cy,cy) = cy
% 3.08/0.89 & f17(a,cy,cy,a) = cy
% 3.08/0.89 & f17(a,cy,a,empty_set) = cy
% 3.08/0.89 & f17(a,cy,a,cy) = empty_set
% 3.08/0.89 & f17(a,cy,a,a) = a
% 3.08/0.89 & f17(a,a,empty_set,empty_set) = cy
% 3.08/0.89 & f17(a,a,empty_set,cy) = empty_set
% 3.08/0.89 & f17(a,a,empty_set,a) = cy
% 3.08/0.89 & f17(a,a,cy,empty_set) = empty_set
% 3.08/0.89 & f17(a,a,cy,cy) = cy
% 3.08/0.89 & f17(a,a,cy,a) = empty_set
% 3.08/0.89 & f17(a,a,a,empty_set) = cy
% 3.08/0.89 & f17(a,a,a,cy) = empty_set
% 3.08/0.89 & f17(a,a,a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f18,type,f18: $i * $i * $i * $i > $i).
% 3.08/0.89 tff(function_f18,axiom,
% 3.08/0.89 f18(empty_set,empty_set,empty_set,empty_set) = empty_set
% 3.08/0.89 & f18(empty_set,empty_set,empty_set,cy) = cy
% 3.08/0.89 & f18(empty_set,empty_set,empty_set,a) = cy
% 3.08/0.89 & f18(empty_set,empty_set,cy,empty_set) = empty_set
% 3.08/0.89 & f18(empty_set,empty_set,cy,cy) = cy
% 3.08/0.89 & f18(empty_set,empty_set,cy,a) = empty_set
% 3.08/0.89 & f18(empty_set,empty_set,a,empty_set) = a
% 3.08/0.89 & f18(empty_set,empty_set,a,cy) = a
% 3.08/0.89 & f18(empty_set,empty_set,a,a) = empty_set
% 3.08/0.89 & f18(empty_set,cy,empty_set,empty_set) = a
% 3.08/0.89 & f18(empty_set,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f18(empty_set,cy,empty_set,a) = a
% 3.08/0.89 & f18(empty_set,cy,cy,empty_set) = cy
% 3.08/0.89 & f18(empty_set,cy,cy,cy) = empty_set
% 3.08/0.89 & f18(empty_set,cy,cy,a) = cy
% 3.08/0.89 & f18(empty_set,cy,a,empty_set) = empty_set
% 3.08/0.89 & f18(empty_set,cy,a,cy) = empty_set
% 3.08/0.89 & f18(empty_set,cy,a,a) = empty_set
% 3.08/0.89 & f18(empty_set,a,empty_set,empty_set) = a
% 3.08/0.89 & f18(empty_set,a,empty_set,cy) = cy
% 3.08/0.89 & f18(empty_set,a,empty_set,a) = cy
% 3.08/0.89 & f18(empty_set,a,cy,empty_set) = a
% 3.08/0.89 & f18(empty_set,a,cy,cy) = empty_set
% 3.08/0.89 & f18(empty_set,a,cy,a) = empty_set
% 3.08/0.89 & f18(empty_set,a,a,empty_set) = a
% 3.08/0.89 & f18(empty_set,a,a,cy) = cy
% 3.08/0.89 & f18(empty_set,a,a,a) = a
% 3.08/0.89 & f18(cy,empty_set,empty_set,empty_set) = cy
% 3.08/0.89 & f18(cy,empty_set,empty_set,cy) = a
% 3.08/0.89 & f18(cy,empty_set,empty_set,a) = empty_set
% 3.08/0.89 & f18(cy,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f18(cy,empty_set,cy,cy) = a
% 3.08/0.89 & f18(cy,empty_set,cy,a) = empty_set
% 3.08/0.89 & f18(cy,empty_set,a,empty_set) = a
% 3.08/0.89 & f18(cy,empty_set,a,cy) = empty_set
% 3.08/0.89 & f18(cy,empty_set,a,a) = cy
% 3.08/0.89 & f18(cy,cy,empty_set,empty_set) = cy
% 3.08/0.89 & f18(cy,cy,empty_set,cy) = cy
% 3.08/0.89 & f18(cy,cy,empty_set,a) = empty_set
% 3.08/0.89 & f18(cy,cy,cy,empty_set) = a
% 3.08/0.89 & f18(cy,cy,cy,cy) = a
% 3.08/0.89 & f18(cy,cy,cy,a) = cy
% 3.08/0.89 & f18(cy,cy,a,empty_set) = cy
% 3.08/0.89 & f18(cy,cy,a,cy) = a
% 3.08/0.89 & f18(cy,cy,a,a) = empty_set
% 3.08/0.89 & f18(cy,a,empty_set,empty_set) = cy
% 3.08/0.89 & f18(cy,a,empty_set,cy) = a
% 3.08/0.89 & f18(cy,a,empty_set,a) = a
% 3.08/0.89 & f18(cy,a,cy,empty_set) = cy
% 3.08/0.89 & f18(cy,a,cy,cy) = a
% 3.08/0.89 & f18(cy,a,cy,a) = empty_set
% 3.08/0.89 & f18(cy,a,a,empty_set) = a
% 3.08/0.89 & f18(cy,a,a,cy) = a
% 3.08/0.89 & f18(cy,a,a,a) = empty_set
% 3.08/0.89 & f18(a,empty_set,empty_set,empty_set) = cy
% 3.08/0.89 & f18(a,empty_set,empty_set,cy) = a
% 3.08/0.89 & f18(a,empty_set,empty_set,a) = a
% 3.08/0.89 & f18(a,empty_set,cy,empty_set) = cy
% 3.08/0.89 & f18(a,empty_set,cy,cy) = a
% 3.08/0.89 & f18(a,empty_set,cy,a) = cy
% 3.08/0.89 & f18(a,empty_set,a,empty_set) = a
% 3.08/0.89 & f18(a,empty_set,a,cy) = cy
% 3.08/0.89 & f18(a,empty_set,a,a) = a
% 3.08/0.89 & f18(a,cy,empty_set,empty_set) = cy
% 3.08/0.89 & f18(a,cy,empty_set,cy) = empty_set
% 3.08/0.89 & f18(a,cy,empty_set,a) = empty_set
% 3.08/0.89 & f18(a,cy,cy,empty_set) = cy
% 3.08/0.89 & f18(a,cy,cy,cy) = empty_set
% 3.08/0.89 & f18(a,cy,cy,a) = cy
% 3.08/0.89 & f18(a,cy,a,empty_set) = empty_set
% 3.08/0.89 & f18(a,cy,a,cy) = a
% 3.08/0.89 & f18(a,cy,a,a) = cy
% 3.08/0.89 & f18(a,a,empty_set,empty_set) = a
% 3.08/0.89 & f18(a,a,empty_set,cy) = empty_set
% 3.08/0.89 & f18(a,a,empty_set,a) = cy
% 3.08/0.89 & f18(a,a,cy,empty_set) = empty_set
% 3.08/0.89 & f18(a,a,cy,cy) = empty_set
% 3.08/0.89 & f18(a,a,cy,a) = a
% 3.08/0.89 & f18(a,a,a,empty_set) = a
% 3.08/0.89 & f18(a,a,a,cy) = empty_set
% 3.08/0.89 & f18(a,a,a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f19,type,f19: $i * $i > $i).
% 3.08/0.89 tff(function_f19,axiom,
% 3.08/0.89 f19(empty_set,empty_set) = cy
% 3.08/0.89 & f19(empty_set,cy) = a
% 3.08/0.89 & f19(empty_set,a) = empty_set
% 3.08/0.89 & f19(cy,empty_set) = empty_set
% 3.08/0.89 & f19(cy,cy) = a
% 3.08/0.89 & f19(cy,a) = a
% 3.08/0.89 & f19(a,empty_set) = empty_set
% 3.08/0.89 & f19(a,cy) = a
% 3.08/0.89 & f19(a,a) = a
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f20,type,f20: $i * $i > $i).
% 3.08/0.89 tff(function_f20,axiom,
% 3.08/0.89 f20(empty_set,empty_set) = cy
% 3.08/0.89 & f20(empty_set,cy) = cy
% 3.08/0.89 & f20(empty_set,a) = a
% 3.08/0.89 & f20(cy,empty_set) = empty_set
% 3.08/0.89 & f20(cy,cy) = a
% 3.08/0.89 & f20(cy,a) = cy
% 3.08/0.89 & f20(a,empty_set) = empty_set
% 3.08/0.89 & f20(a,cy) = cy
% 3.08/0.89 & f20(a,a) = cy
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_union_of_sets,type,union_of_sets: $i * $i > $i).
% 3.08/0.89 tff(function_union_of_sets,axiom,
% 3.08/0.89 union_of_sets(empty_set,empty_set) = empty_set
% 3.08/0.89 & union_of_sets(empty_set,cy) = a
% 3.08/0.89 & union_of_sets(empty_set,a) = empty_set
% 3.08/0.89 & union_of_sets(cy,empty_set) = empty_set
% 3.08/0.89 & union_of_sets(cy,cy) = cy
% 3.08/0.89 & union_of_sets(cy,a) = cy
% 3.08/0.89 & union_of_sets(a,empty_set) = a
% 3.08/0.89 & union_of_sets(a,cy) = empty_set
% 3.08/0.89 & union_of_sets(a,a) = empty_set
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f21,type,f21: $i * $i > $i).
% 3.08/0.89 tff(function_f21,axiom,
% 3.08/0.89 f21(empty_set,empty_set) = empty_set
% 3.08/0.89 & f21(empty_set,cy) = cy
% 3.08/0.89 & f21(empty_set,a) = empty_set
% 3.08/0.89 & f21(cy,empty_set) = cy
% 3.08/0.89 & f21(cy,cy) = cy
% 3.08/0.89 & f21(cy,a) = empty_set
% 3.08/0.89 & f21(a,empty_set) = a
% 3.08/0.89 & f21(a,cy) = cy
% 3.08/0.89 & f21(a,a) = a
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f22,type,f22: $i * $i > $i).
% 3.08/0.89 tff(function_f22,axiom,
% 3.08/0.89 f22(empty_set,empty_set) = cy
% 3.08/0.89 & f22(empty_set,cy) = empty_set
% 3.08/0.89 & f22(empty_set,a) = cy
% 3.08/0.89 & f22(cy,empty_set) = a
% 3.08/0.89 & f22(cy,cy) = empty_set
% 3.08/0.89 & f22(cy,a) = cy
% 3.08/0.89 & f22(a,empty_set) = cy
% 3.08/0.89 & f22(a,cy) = empty_set
% 3.08/0.89 & f22(a,a) = a
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f23,type,f23: $i * $i * $i > $i).
% 3.08/0.89 tff(function_f23,axiom,
% 3.08/0.89 f23(empty_set,empty_set,empty_set) = cy
% 3.08/0.89 & f23(empty_set,empty_set,cy) = cy
% 3.08/0.89 & f23(empty_set,empty_set,a) = a
% 3.08/0.89 & f23(empty_set,cy,empty_set) = empty_set
% 3.08/0.89 & f23(empty_set,cy,cy) = a
% 3.08/0.89 & f23(empty_set,cy,a) = cy
% 3.08/0.89 & f23(empty_set,a,empty_set) = empty_set
% 3.08/0.89 & f23(empty_set,a,cy) = empty_set
% 3.08/0.89 & f23(empty_set,a,a) = a
% 3.08/0.89 & f23(cy,empty_set,empty_set) = empty_set
% 3.08/0.89 & f23(cy,empty_set,cy) = a
% 3.08/0.89 & f23(cy,empty_set,a) = a
% 3.08/0.89 & f23(cy,cy,empty_set) = empty_set
% 3.08/0.89 & f23(cy,cy,cy) = empty_set
% 3.08/0.89 & f23(cy,cy,a) = a
% 3.08/0.89 & f23(cy,a,empty_set) = cy
% 3.08/0.89 & f23(cy,a,cy) = cy
% 3.08/0.89 & f23(cy,a,a) = a
% 3.08/0.89 & f23(a,empty_set,empty_set) = cy
% 3.08/0.89 & f23(a,empty_set,cy) = cy
% 3.08/0.89 & f23(a,empty_set,a) = a
% 3.08/0.89 & f23(a,cy,empty_set) = a
% 3.08/0.89 & f23(a,cy,cy) = cy
% 3.08/0.89 & f23(a,cy,a) = cy
% 3.08/0.89 & f23(a,a,empty_set) = a
% 3.08/0.89 & f23(a,a,cy) = a
% 3.08/0.89 & f23(a,a,a) = a
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_f24,type,f24: $i * $i > $i).
% 3.08/0.89 tff(function_f24,axiom,
% 3.08/0.89 f24(empty_set,empty_set) = a
% 3.08/0.89 & f24(empty_set,cy) = a
% 3.08/0.89 & f24(empty_set,a) = cy
% 3.08/0.89 & f24(cy,empty_set) = a
% 3.08/0.89 & f24(cy,cy) = a
% 3.08/0.89 & f24(cy,a) = empty_set
% 3.08/0.89 & f24(a,empty_set) = empty_set
% 3.08/0.89 & f24(a,cy) = a
% 3.08/0.89 & f24(a,a) = cy
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_element_of_set,type,element_of_set: $i * $i > $o ).
% 3.08/0.89 tff(predicate_element_of_set,axiom,
% 3.08/0.89 ~element_of_set(empty_set,empty_set)
% 3.08/0.89 & ~element_of_set(empty_set,cy)
% 3.08/0.89 & element_of_set(empty_set,a)
% 3.08/0.89 & ~element_of_set(cy,empty_set)
% 3.08/0.89 & ~element_of_set(cy,cy)
% 3.08/0.89 & element_of_set(cy,a)
% 3.08/0.89 & ~element_of_set(a,empty_set)
% 3.08/0.89 & ~element_of_set(a,cy)
% 3.08/0.89 & element_of_set(a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_element_of_collection,type,element_of_collection: $i * $i > $o ).
% 3.08/0.89 tff(predicate_element_of_collection,axiom,
% 3.08/0.89 element_of_collection(empty_set,empty_set)
% 3.08/0.89 & element_of_collection(empty_set,cy)
% 3.08/0.89 & ~element_of_collection(empty_set,a)
% 3.08/0.89 & element_of_collection(cy,empty_set)
% 3.08/0.89 & element_of_collection(cy,cy)
% 3.08/0.89 & ~element_of_collection(cy,a)
% 3.08/0.89 & ~element_of_collection(a,empty_set)
% 3.08/0.89 & element_of_collection(a,cy)
% 3.08/0.89 & ~element_of_collection(a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_topological_space,type,topological_space: $i * $i > $o ).
% 3.08/0.89 tff(predicate_topological_space,axiom,
% 3.08/0.89 topological_space(empty_set,empty_set)
% 3.08/0.89 & ~topological_space(empty_set,cy)
% 3.08/0.89 & ~topological_space(empty_set,a)
% 3.08/0.89 & topological_space(cy,empty_set)
% 3.08/0.89 & topological_space(cy,cy)
% 3.08/0.89 & ~topological_space(cy,a)
% 3.08/0.89 & ~topological_space(a,empty_set)
% 3.08/0.89 & ~topological_space(a,cy)
% 3.08/0.89 & ~topological_space(a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_equal_sets,type,equal_sets: $i * $i > $o ).
% 3.08/0.89 tff(predicate_equal_sets,axiom,
% 3.08/0.89 equal_sets(empty_set,empty_set)
% 3.08/0.89 & equal_sets(empty_set,cy)
% 3.08/0.89 & equal_sets(empty_set,a)
% 3.08/0.89 & equal_sets(cy,empty_set)
% 3.08/0.89 & equal_sets(cy,cy)
% 3.08/0.89 & equal_sets(cy,a)
% 3.08/0.89 & ~equal_sets(a,empty_set)
% 3.08/0.89 & equal_sets(a,cy)
% 3.08/0.89 & ~equal_sets(a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_subset_collections,type,subset_collections: $i * $i > $o ).
% 3.08/0.89 tff(predicate_subset_collections,axiom,
% 3.08/0.89 subset_collections(empty_set,empty_set)
% 3.08/0.89 & subset_collections(empty_set,cy)
% 3.08/0.89 & ~subset_collections(empty_set,a)
% 3.08/0.89 & ~subset_collections(cy,empty_set)
% 3.08/0.89 & subset_collections(cy,cy)
% 3.08/0.89 & ~subset_collections(cy,a)
% 3.08/0.89 & subset_collections(a,empty_set)
% 3.08/0.89 & ~subset_collections(a,cy)
% 3.08/0.89 & ~subset_collections(a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_open,type,open: $i * $i * $i > $o ).
% 3.08/0.89 tff(predicate_open,axiom,
% 3.08/0.89 open(empty_set,empty_set,empty_set)
% 3.08/0.89 & ~open(empty_set,empty_set,cy)
% 3.08/0.89 & ~open(empty_set,empty_set,a)
% 3.08/0.89 & open(empty_set,cy,empty_set)
% 3.08/0.89 & open(empty_set,cy,cy)
% 3.08/0.89 & ~open(empty_set,cy,a)
% 3.08/0.89 & ~open(empty_set,a,empty_set)
% 3.08/0.89 & ~open(empty_set,a,cy)
% 3.08/0.89 & ~open(empty_set,a,a)
% 3.08/0.89 & open(cy,empty_set,empty_set)
% 3.08/0.89 & ~open(cy,empty_set,cy)
% 3.08/0.89 & ~open(cy,empty_set,a)
% 3.08/0.89 & open(cy,cy,empty_set)
% 3.08/0.89 & open(cy,cy,cy)
% 3.08/0.89 & ~open(cy,cy,a)
% 3.08/0.89 & ~open(cy,a,empty_set)
% 3.08/0.89 & ~open(cy,a,cy)
% 3.08/0.89 & ~open(cy,a,a)
% 3.08/0.89 & ~open(a,empty_set,empty_set)
% 3.08/0.89 & ~open(a,empty_set,cy)
% 3.08/0.89 & ~open(a,empty_set,a)
% 3.08/0.89 & ~open(a,cy,empty_set)
% 3.08/0.89 & open(a,cy,cy)
% 3.08/0.89 & ~open(a,cy,a)
% 3.08/0.89 & ~open(a,a,empty_set)
% 3.08/0.89 & ~open(a,a,cy)
% 3.08/0.89 & ~open(a,a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_closed,type,closed: $i * $i * $i > $o ).
% 3.08/0.89 tff(predicate_closed,axiom,
% 3.08/0.89 ~closed(empty_set,empty_set,empty_set)
% 3.08/0.89 & ~closed(empty_set,empty_set,cy)
% 3.08/0.89 & ~closed(empty_set,empty_set,a)
% 3.08/0.89 & ~closed(empty_set,cy,empty_set)
% 3.08/0.89 & closed(empty_set,cy,cy)
% 3.08/0.89 & ~closed(empty_set,cy,a)
% 3.08/0.89 & ~closed(empty_set,a,empty_set)
% 3.08/0.89 & ~closed(empty_set,a,cy)
% 3.08/0.89 & ~closed(empty_set,a,a)
% 3.08/0.89 & ~closed(cy,empty_set,empty_set)
% 3.08/0.89 & ~closed(cy,empty_set,cy)
% 3.08/0.89 & ~closed(cy,empty_set,a)
% 3.08/0.89 & ~closed(cy,cy,empty_set)
% 3.08/0.89 & closed(cy,cy,cy)
% 3.08/0.89 & ~closed(cy,cy,a)
% 3.08/0.89 & ~closed(cy,a,empty_set)
% 3.08/0.89 & ~closed(cy,a,cy)
% 3.08/0.89 & ~closed(cy,a,a)
% 3.08/0.89 & ~closed(a,empty_set,empty_set)
% 3.08/0.89 & ~closed(a,empty_set,cy)
% 3.08/0.89 & ~closed(a,empty_set,a)
% 3.08/0.89 & ~closed(a,cy,empty_set)
% 3.08/0.89 & closed(a,cy,cy)
% 3.08/0.89 & ~closed(a,cy,a)
% 3.08/0.89 & ~closed(a,a,empty_set)
% 3.08/0.89 & ~closed(a,a,cy)
% 3.08/0.89 & ~closed(a,a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_finer,type,finer: $i * $i * $i > $o ).
% 3.08/0.89 tff(predicate_finer,axiom,
% 3.08/0.89 ~finer(empty_set,empty_set,empty_set)
% 3.08/0.89 % finer(empty_set,empty_set,cy) undefined in model
% 3.08/0.89 % finer(empty_set,empty_set,a) undefined in model
% 3.08/0.89 % finer(empty_set,cy,empty_set) undefined in model
% 3.08/0.89 % finer(empty_set,cy,cy) undefined in model
% 3.08/0.89 % finer(empty_set,cy,a) undefined in model
% 3.08/0.89 % finer(empty_set,a,empty_set) undefined in model
% 3.08/0.89 % finer(empty_set,a,cy) undefined in model
% 3.08/0.89 % finer(empty_set,a,a) undefined in model
% 3.08/0.89 % finer(cy,empty_set,empty_set) undefined in model
% 3.08/0.89 % finer(cy,empty_set,cy) undefined in model
% 3.08/0.89 % finer(cy,empty_set,a) undefined in model
% 3.08/0.89 % finer(cy,cy,empty_set) undefined in model
% 3.08/0.89 % finer(cy,cy,cy) undefined in model
% 3.08/0.89 % finer(cy,cy,a) undefined in model
% 3.08/0.89 % finer(cy,a,empty_set) undefined in model
% 3.08/0.89 % finer(cy,a,cy) undefined in model
% 3.08/0.89 % finer(cy,a,a) undefined in model
% 3.08/0.89 % finer(a,empty_set,empty_set) undefined in model
% 3.08/0.89 % finer(a,empty_set,cy) undefined in model
% 3.08/0.89 % finer(a,empty_set,a) undefined in model
% 3.08/0.89 % finer(a,cy,empty_set) undefined in model
% 3.08/0.89 % finer(a,cy,cy) undefined in model
% 3.08/0.89 % finer(a,cy,a) undefined in model
% 3.08/0.89 % finer(a,a,empty_set) undefined in model
% 3.08/0.89 % finer(a,a,cy) undefined in model
% 3.08/0.89 % finer(a,a,a) undefined in model
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_basis,type,basis: $i * $i > $o ).
% 3.08/0.89 tff(predicate_basis,axiom,
% 3.08/0.89 basis(empty_set,empty_set)
% 3.08/0.89 & ~basis(empty_set,cy)
% 3.08/0.89 & basis(empty_set,a)
% 3.08/0.89 & basis(cy,empty_set)
% 3.08/0.89 & basis(cy,cy)
% 3.08/0.89 & basis(cy,a)
% 3.08/0.89 & basis(a,empty_set)
% 3.08/0.89 & ~basis(a,cy)
% 3.08/0.89 & basis(a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_subset_sets,type,subset_sets: $i * $i > $o ).
% 3.08/0.89 tff(predicate_subset_sets,axiom,
% 3.08/0.89 ~subset_sets(empty_set,empty_set)
% 3.08/0.89 & ~subset_sets(empty_set,cy)
% 3.08/0.89 & subset_sets(empty_set,a)
% 3.08/0.89 & subset_sets(cy,empty_set)
% 3.08/0.89 & subset_sets(cy,cy)
% 3.08/0.89 & subset_sets(cy,a)
% 3.08/0.89 & subset_sets(a,empty_set)
% 3.08/0.89 & ~subset_sets(a,cy)
% 3.08/0.89 & subset_sets(a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_neighborhood,type,neighborhood: $i * $i * $i * $i > $o ).
% 3.08/0.89 tff(predicate_neighborhood,axiom,
% 3.08/0.89 ~neighborhood(empty_set,empty_set,empty_set,empty_set)
% 3.08/0.89 & ~neighborhood(empty_set,empty_set,empty_set,cy)
% 3.08/0.89 & ~neighborhood(empty_set,empty_set,empty_set,a)
% 3.08/0.89 & ~neighborhood(empty_set,empty_set,cy,empty_set)
% 3.08/0.89 & ~neighborhood(empty_set,empty_set,cy,cy)
% 3.08/0.89 & ~neighborhood(empty_set,empty_set,cy,a)
% 3.08/0.89 & ~neighborhood(empty_set,empty_set,a,empty_set)
% 3.08/0.89 & ~neighborhood(empty_set,empty_set,a,cy)
% 3.08/0.89 & ~neighborhood(empty_set,empty_set,a,a)
% 3.08/0.89 & ~neighborhood(empty_set,cy,empty_set,empty_set)
% 3.08/0.89 & ~neighborhood(empty_set,cy,empty_set,cy)
% 3.08/0.89 & ~neighborhood(empty_set,cy,empty_set,a)
% 3.08/0.89 & ~neighborhood(empty_set,cy,cy,empty_set)
% 3.08/0.89 & ~neighborhood(empty_set,cy,cy,cy)
% 3.08/0.89 & ~neighborhood(empty_set,cy,cy,a)
% 3.08/0.89 & ~neighborhood(empty_set,cy,a,empty_set)
% 3.08/0.89 & ~neighborhood(empty_set,cy,a,cy)
% 3.08/0.89 & ~neighborhood(empty_set,cy,a,a)
% 3.08/0.89 & ~neighborhood(empty_set,a,empty_set,empty_set)
% 3.08/0.89 & ~neighborhood(empty_set,a,empty_set,cy)
% 3.08/0.89 & ~neighborhood(empty_set,a,empty_set,a)
% 3.08/0.89 & ~neighborhood(empty_set,a,cy,empty_set)
% 3.08/0.89 & ~neighborhood(empty_set,a,cy,cy)
% 3.08/0.89 & ~neighborhood(empty_set,a,cy,a)
% 3.08/0.89 & ~neighborhood(empty_set,a,a,empty_set)
% 3.08/0.89 & ~neighborhood(empty_set,a,a,cy)
% 3.08/0.89 & ~neighborhood(empty_set,a,a,a)
% 3.08/0.89 & ~neighborhood(cy,empty_set,empty_set,empty_set)
% 3.08/0.89 & ~neighborhood(cy,empty_set,empty_set,cy)
% 3.08/0.89 & ~neighborhood(cy,empty_set,empty_set,a)
% 3.08/0.89 & ~neighborhood(cy,empty_set,cy,empty_set)
% 3.08/0.89 & ~neighborhood(cy,empty_set,cy,cy)
% 3.08/0.89 & ~neighborhood(cy,empty_set,cy,a)
% 3.08/0.89 & ~neighborhood(cy,empty_set,a,empty_set)
% 3.08/0.89 & ~neighborhood(cy,empty_set,a,cy)
% 3.08/0.89 & ~neighborhood(cy,empty_set,a,a)
% 3.08/0.89 & ~neighborhood(cy,cy,empty_set,empty_set)
% 3.08/0.89 & ~neighborhood(cy,cy,empty_set,cy)
% 3.08/0.89 & ~neighborhood(cy,cy,empty_set,a)
% 3.08/0.89 & ~neighborhood(cy,cy,cy,empty_set)
% 3.08/0.89 & ~neighborhood(cy,cy,cy,cy)
% 3.08/0.89 & ~neighborhood(cy,cy,cy,a)
% 3.08/0.89 & ~neighborhood(cy,cy,a,empty_set)
% 3.08/0.89 & ~neighborhood(cy,cy,a,cy)
% 3.08/0.89 & ~neighborhood(cy,cy,a,a)
% 3.08/0.89 & ~neighborhood(cy,a,empty_set,empty_set)
% 3.08/0.89 & ~neighborhood(cy,a,empty_set,cy)
% 3.08/0.89 & ~neighborhood(cy,a,empty_set,a)
% 3.08/0.89 & ~neighborhood(cy,a,cy,empty_set)
% 3.08/0.89 & ~neighborhood(cy,a,cy,cy)
% 3.08/0.89 & ~neighborhood(cy,a,cy,a)
% 3.08/0.89 & ~neighborhood(cy,a,a,empty_set)
% 3.08/0.89 & ~neighborhood(cy,a,a,cy)
% 3.08/0.89 & ~neighborhood(cy,a,a,a)
% 3.08/0.89 & ~neighborhood(a,empty_set,empty_set,empty_set)
% 3.08/0.89 & ~neighborhood(a,empty_set,empty_set,cy)
% 3.08/0.89 & ~neighborhood(a,empty_set,empty_set,a)
% 3.08/0.89 & ~neighborhood(a,empty_set,cy,empty_set)
% 3.08/0.89 & neighborhood(a,empty_set,cy,cy)
% 3.08/0.89 & ~neighborhood(a,empty_set,cy,a)
% 3.08/0.89 & ~neighborhood(a,empty_set,a,empty_set)
% 3.08/0.89 & ~neighborhood(a,empty_set,a,cy)
% 3.08/0.89 & ~neighborhood(a,empty_set,a,a)
% 3.08/0.89 & ~neighborhood(a,cy,empty_set,empty_set)
% 3.08/0.89 & ~neighborhood(a,cy,empty_set,cy)
% 3.08/0.89 & ~neighborhood(a,cy,empty_set,a)
% 3.08/0.89 & ~neighborhood(a,cy,cy,empty_set)
% 3.08/0.89 & neighborhood(a,cy,cy,cy)
% 3.08/0.89 & ~neighborhood(a,cy,cy,a)
% 3.08/0.89 & ~neighborhood(a,cy,a,empty_set)
% 3.08/0.89 & ~neighborhood(a,cy,a,cy)
% 3.08/0.89 & ~neighborhood(a,cy,a,a)
% 3.08/0.89 & ~neighborhood(a,a,empty_set,empty_set)
% 3.08/0.89 & ~neighborhood(a,a,empty_set,cy)
% 3.08/0.89 & ~neighborhood(a,a,empty_set,a)
% 3.08/0.89 & ~neighborhood(a,a,cy,empty_set)
% 3.08/0.89 & neighborhood(a,a,cy,cy)
% 3.08/0.89 & ~neighborhood(a,a,cy,a)
% 3.08/0.89 & ~neighborhood(a,a,a,empty_set)
% 3.08/0.89 & ~neighborhood(a,a,a,cy)
% 3.08/0.89 & ~neighborhood(a,a,a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_limit_point,type,limit_point: $i * $i * $i * $i > $o ).
% 3.08/0.89 tff(predicate_limit_point,axiom,
% 3.08/0.89 limit_point(empty_set,empty_set,empty_set,empty_set)
% 3.08/0.89 & ~limit_point(empty_set,empty_set,empty_set,cy)
% 3.08/0.89 & limit_point(empty_set,empty_set,empty_set,a)
% 3.08/0.89 & ~limit_point(empty_set,empty_set,cy,empty_set)
% 3.08/0.89 & ~limit_point(empty_set,empty_set,cy,cy)
% 3.08/0.89 & ~limit_point(empty_set,empty_set,cy,a)
% 3.08/0.89 & limit_point(empty_set,empty_set,a,empty_set)
% 3.08/0.89 & limit_point(empty_set,empty_set,a,cy)
% 3.08/0.89 & limit_point(empty_set,empty_set,a,a)
% 3.08/0.89 & limit_point(empty_set,cy,empty_set,empty_set)
% 3.08/0.89 & ~limit_point(empty_set,cy,empty_set,cy)
% 3.08/0.89 & ~limit_point(empty_set,cy,empty_set,a)
% 3.08/0.89 & limit_point(empty_set,cy,cy,empty_set)
% 3.08/0.89 & ~limit_point(empty_set,cy,cy,cy)
% 3.08/0.89 & limit_point(empty_set,cy,cy,a)
% 3.08/0.89 & ~limit_point(empty_set,cy,a,empty_set)
% 3.08/0.89 & limit_point(empty_set,cy,a,cy)
% 3.08/0.89 & ~limit_point(empty_set,cy,a,a)
% 3.08/0.89 & limit_point(empty_set,a,empty_set,empty_set)
% 3.08/0.89 & ~limit_point(empty_set,a,empty_set,cy)
% 3.08/0.89 & limit_point(empty_set,a,empty_set,a)
% 3.08/0.89 & limit_point(empty_set,a,cy,empty_set)
% 3.08/0.89 & ~limit_point(empty_set,a,cy,cy)
% 3.08/0.89 & limit_point(empty_set,a,cy,a)
% 3.08/0.89 & limit_point(empty_set,a,a,empty_set)
% 3.08/0.89 & limit_point(empty_set,a,a,cy)
% 3.08/0.89 & limit_point(empty_set,a,a,a)
% 3.08/0.89 & ~limit_point(cy,empty_set,empty_set,empty_set)
% 3.08/0.89 & limit_point(cy,empty_set,empty_set,cy)
% 3.08/0.89 & limit_point(cy,empty_set,empty_set,a)
% 3.08/0.89 & limit_point(cy,empty_set,cy,empty_set)
% 3.08/0.89 & ~limit_point(cy,empty_set,cy,cy)
% 3.08/0.89 & limit_point(cy,empty_set,cy,a)
% 3.08/0.89 & ~limit_point(cy,empty_set,a,empty_set)
% 3.08/0.89 & limit_point(cy,empty_set,a,cy)
% 3.08/0.89 & limit_point(cy,empty_set,a,a)
% 3.08/0.89 & limit_point(cy,cy,empty_set,empty_set)
% 3.08/0.89 & ~limit_point(cy,cy,empty_set,cy)
% 3.08/0.89 & limit_point(cy,cy,empty_set,a)
% 3.08/0.89 & limit_point(cy,cy,cy,empty_set)
% 3.08/0.89 & ~limit_point(cy,cy,cy,cy)
% 3.08/0.89 & ~limit_point(cy,cy,cy,a)
% 3.08/0.89 & ~limit_point(cy,cy,a,empty_set)
% 3.08/0.89 & limit_point(cy,cy,a,cy)
% 3.08/0.89 & limit_point(cy,cy,a,a)
% 3.08/0.89 & limit_point(cy,a,empty_set,empty_set)
% 3.08/0.89 & limit_point(cy,a,empty_set,cy)
% 3.08/0.89 & ~limit_point(cy,a,empty_set,a)
% 3.08/0.89 & limit_point(cy,a,cy,empty_set)
% 3.08/0.89 & ~limit_point(cy,a,cy,cy)
% 3.08/0.89 & limit_point(cy,a,cy,a)
% 3.08/0.89 & ~limit_point(cy,a,a,empty_set)
% 3.08/0.89 & limit_point(cy,a,a,cy)
% 3.08/0.89 & ~limit_point(cy,a,a,a)
% 3.08/0.89 & ~limit_point(a,empty_set,empty_set,empty_set)
% 3.08/0.89 & limit_point(a,empty_set,empty_set,cy)
% 3.08/0.89 & limit_point(a,empty_set,empty_set,a)
% 3.08/0.89 & limit_point(a,empty_set,cy,empty_set)
% 3.08/0.89 & ~limit_point(a,empty_set,cy,cy)
% 3.08/0.89 & limit_point(a,empty_set,cy,a)
% 3.08/0.89 & ~limit_point(a,empty_set,a,empty_set)
% 3.08/0.89 & ~limit_point(a,empty_set,a,cy)
% 3.08/0.89 & limit_point(a,empty_set,a,a)
% 3.08/0.89 & limit_point(a,cy,empty_set,empty_set)
% 3.08/0.89 & ~limit_point(a,cy,empty_set,cy)
% 3.08/0.89 & ~limit_point(a,cy,empty_set,a)
% 3.08/0.89 & limit_point(a,cy,cy,empty_set)
% 3.08/0.89 & ~limit_point(a,cy,cy,cy)
% 3.08/0.89 & ~limit_point(a,cy,cy,a)
% 3.08/0.89 & ~limit_point(a,cy,a,empty_set)
% 3.08/0.89 & limit_point(a,cy,a,cy)
% 3.08/0.89 & ~limit_point(a,cy,a,a)
% 3.08/0.89 & limit_point(a,a,empty_set,empty_set)
% 3.08/0.89 & ~limit_point(a,a,empty_set,cy)
% 3.08/0.89 & limit_point(a,a,empty_set,a)
% 3.08/0.89 & ~limit_point(a,a,cy,empty_set)
% 3.08/0.89 & ~limit_point(a,a,cy,cy)
% 3.08/0.89 & ~limit_point(a,a,cy,a)
% 3.08/0.89 & limit_point(a,a,a,empty_set)
% 3.08/0.89 & ~limit_point(a,a,a,cy)
% 3.08/0.89 & ~limit_point(a,a,a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_eq_p,type,eq_p: $i * $i > $o ).
% 3.08/0.89 tff(predicate_eq_p,axiom,
% 3.08/0.89 eq_p(empty_set,empty_set)
% 3.08/0.89 & eq_p(empty_set,cy)
% 3.08/0.89 & eq_p(empty_set,a)
% 3.08/0.89 & eq_p(cy,empty_set)
% 3.08/0.89 & eq_p(cy,cy)
% 3.08/0.89 & eq_p(cy,a)
% 3.08/0.89 & eq_p(a,empty_set)
% 3.08/0.89 & eq_p(a,cy)
% 3.08/0.89 & eq_p(a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_hausdorff,type,hausdorff: $i * $i > $o ).
% 3.08/0.89 tff(predicate_hausdorff,axiom,
% 3.08/0.89 hausdorff(empty_set,empty_set)
% 3.08/0.89 & hausdorff(empty_set,cy)
% 3.08/0.89 & hausdorff(empty_set,a)
% 3.08/0.89 & hausdorff(cy,empty_set)
% 3.08/0.89 & hausdorff(cy,cy)
% 3.08/0.89 & ~hausdorff(cy,a)
% 3.08/0.89 & ~hausdorff(a,empty_set)
% 3.08/0.89 & hausdorff(a,cy)
% 3.08/0.89 & ~hausdorff(a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_disjoint_s,type,disjoint_s: $i * $i > $o ).
% 3.08/0.89 tff(predicate_disjoint_s,axiom,
% 3.08/0.89 ~disjoint_s(empty_set,empty_set)
% 3.08/0.89 & ~disjoint_s(empty_set,cy)
% 3.08/0.89 & ~disjoint_s(empty_set,a)
% 3.08/0.89 & ~disjoint_s(cy,empty_set)
% 3.08/0.89 & ~disjoint_s(cy,cy)
% 3.08/0.89 & disjoint_s(cy,a)
% 3.08/0.89 & ~disjoint_s(a,empty_set)
% 3.08/0.89 & ~disjoint_s(a,cy)
% 3.08/0.89 & ~disjoint_s(a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_separation,type,separation: $i * $i * $i * $i > $o ).
% 3.08/0.89 tff(predicate_separation,axiom,
% 3.08/0.89 ~separation(empty_set,empty_set,empty_set,empty_set)
% 3.08/0.89 & ~separation(empty_set,empty_set,empty_set,cy)
% 3.08/0.89 & ~separation(empty_set,empty_set,empty_set,a)
% 3.08/0.89 & ~separation(empty_set,empty_set,cy,empty_set)
% 3.08/0.89 & ~separation(empty_set,empty_set,cy,cy)
% 3.08/0.89 & ~separation(empty_set,empty_set,cy,a)
% 3.08/0.89 & ~separation(empty_set,empty_set,a,empty_set)
% 3.08/0.89 & ~separation(empty_set,empty_set,a,cy)
% 3.08/0.89 & ~separation(empty_set,empty_set,a,a)
% 3.08/0.89 & ~separation(empty_set,cy,empty_set,empty_set)
% 3.08/0.89 & ~separation(empty_set,cy,empty_set,cy)
% 3.08/0.89 & ~separation(empty_set,cy,empty_set,a)
% 3.08/0.89 & ~separation(empty_set,cy,cy,empty_set)
% 3.08/0.89 & ~separation(empty_set,cy,cy,cy)
% 3.08/0.89 & ~separation(empty_set,cy,cy,a)
% 3.08/0.89 & ~separation(empty_set,cy,a,empty_set)
% 3.08/0.89 & ~separation(empty_set,cy,a,cy)
% 3.08/0.89 & ~separation(empty_set,cy,a,a)
% 3.08/0.89 & ~separation(empty_set,a,empty_set,empty_set)
% 3.08/0.89 & ~separation(empty_set,a,empty_set,cy)
% 3.08/0.89 & ~separation(empty_set,a,empty_set,a)
% 3.08/0.89 & ~separation(empty_set,a,cy,empty_set)
% 3.08/0.89 & ~separation(empty_set,a,cy,cy)
% 3.08/0.89 & ~separation(empty_set,a,cy,a)
% 3.08/0.89 & ~separation(empty_set,a,a,empty_set)
% 3.08/0.89 & ~separation(empty_set,a,a,cy)
% 3.08/0.89 & ~separation(empty_set,a,a,a)
% 3.08/0.89 & ~separation(cy,empty_set,empty_set,empty_set)
% 3.08/0.89 & ~separation(cy,empty_set,empty_set,cy)
% 3.08/0.89 & ~separation(cy,empty_set,empty_set,a)
% 3.08/0.89 & ~separation(cy,empty_set,cy,empty_set)
% 3.08/0.89 & ~separation(cy,empty_set,cy,cy)
% 3.08/0.89 & ~separation(cy,empty_set,cy,a)
% 3.08/0.89 & ~separation(cy,empty_set,a,empty_set)
% 3.08/0.89 & ~separation(cy,empty_set,a,cy)
% 3.08/0.89 & ~separation(cy,empty_set,a,a)
% 3.08/0.89 & ~separation(cy,cy,empty_set,empty_set)
% 3.08/0.89 & ~separation(cy,cy,empty_set,cy)
% 3.08/0.89 & ~separation(cy,cy,empty_set,a)
% 3.08/0.89 & ~separation(cy,cy,cy,empty_set)
% 3.08/0.89 & ~separation(cy,cy,cy,cy)
% 3.08/0.89 & ~separation(cy,cy,cy,a)
% 3.08/0.89 & ~separation(cy,cy,a,empty_set)
% 3.08/0.89 & ~separation(cy,cy,a,cy)
% 3.08/0.89 & ~separation(cy,cy,a,a)
% 3.08/0.89 & ~separation(cy,a,empty_set,empty_set)
% 3.08/0.89 & ~separation(cy,a,empty_set,cy)
% 3.08/0.89 & ~separation(cy,a,empty_set,a)
% 3.08/0.89 & ~separation(cy,a,cy,empty_set)
% 3.08/0.89 & ~separation(cy,a,cy,cy)
% 3.08/0.89 & ~separation(cy,a,cy,a)
% 3.08/0.89 & ~separation(cy,a,a,empty_set)
% 3.08/0.89 & ~separation(cy,a,a,cy)
% 3.08/0.89 & ~separation(cy,a,a,a)
% 3.08/0.89 & ~separation(a,empty_set,empty_set,empty_set)
% 3.08/0.89 & ~separation(a,empty_set,empty_set,cy)
% 3.08/0.89 & ~separation(a,empty_set,empty_set,a)
% 3.08/0.89 & ~separation(a,empty_set,cy,empty_set)
% 3.08/0.89 & ~separation(a,empty_set,cy,cy)
% 3.08/0.89 & ~separation(a,empty_set,cy,a)
% 3.08/0.89 & ~separation(a,empty_set,a,empty_set)
% 3.08/0.89 & ~separation(a,empty_set,a,cy)
% 3.08/0.89 & ~separation(a,empty_set,a,a)
% 3.08/0.89 & ~separation(a,cy,empty_set,empty_set)
% 3.08/0.89 & ~separation(a,cy,empty_set,cy)
% 3.08/0.89 & ~separation(a,cy,empty_set,a)
% 3.08/0.89 & ~separation(a,cy,cy,empty_set)
% 3.08/0.89 & ~separation(a,cy,cy,cy)
% 3.08/0.89 & ~separation(a,cy,cy,a)
% 3.08/0.89 & ~separation(a,cy,a,empty_set)
% 3.08/0.89 & ~separation(a,cy,a,cy)
% 3.08/0.89 & ~separation(a,cy,a,a)
% 3.08/0.89 & ~separation(a,a,empty_set,empty_set)
% 3.08/0.89 & ~separation(a,a,empty_set,cy)
% 3.08/0.89 & ~separation(a,a,empty_set,a)
% 3.08/0.89 & ~separation(a,a,cy,empty_set)
% 3.08/0.89 & ~separation(a,a,cy,cy)
% 3.08/0.89 & ~separation(a,a,cy,a)
% 3.08/0.89 & ~separation(a,a,a,empty_set)
% 3.08/0.89 & ~separation(a,a,a,cy)
% 3.08/0.89 & ~separation(a,a,a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_connected_space,type,connected_space: $i * $i > $o ).
% 3.08/0.89 tff(predicate_connected_space,axiom,
% 3.08/0.89 connected_space(empty_set,empty_set)
% 3.08/0.89 & ~connected_space(empty_set,cy)
% 3.08/0.89 & ~connected_space(empty_set,a)
% 3.08/0.89 & connected_space(cy,empty_set)
% 3.08/0.89 & connected_space(cy,cy)
% 3.08/0.89 & ~connected_space(cy,a)
% 3.08/0.89 & ~connected_space(a,empty_set)
% 3.08/0.89 & ~connected_space(a,cy)
% 3.08/0.89 & ~connected_space(a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_connected_set,type,connected_set: $i * $i * $i > $o ).
% 3.08/0.89 tff(predicate_connected_set,axiom,
% 3.08/0.89 ~connected_set(empty_set,empty_set,empty_set)
% 3.08/0.89 % connected_set(empty_set,empty_set,cy) undefined in model
% 3.08/0.89 % connected_set(empty_set,empty_set,a) undefined in model
% 3.08/0.89 % connected_set(empty_set,cy,empty_set) undefined in model
% 3.08/0.89 % connected_set(empty_set,cy,cy) undefined in model
% 3.08/0.89 % connected_set(empty_set,cy,a) undefined in model
% 3.08/0.89 % connected_set(empty_set,a,empty_set) undefined in model
% 3.08/0.89 % connected_set(empty_set,a,cy) undefined in model
% 3.08/0.89 % connected_set(empty_set,a,a) undefined in model
% 3.08/0.89 % connected_set(cy,empty_set,empty_set) undefined in model
% 3.08/0.89 % connected_set(cy,empty_set,cy) undefined in model
% 3.08/0.89 % connected_set(cy,empty_set,a) undefined in model
% 3.08/0.89 % connected_set(cy,cy,empty_set) undefined in model
% 3.08/0.89 % connected_set(cy,cy,cy) undefined in model
% 3.08/0.89 % connected_set(cy,cy,a) undefined in model
% 3.08/0.89 % connected_set(cy,a,empty_set) undefined in model
% 3.08/0.89 % connected_set(cy,a,cy) undefined in model
% 3.08/0.89 % connected_set(cy,a,a) undefined in model
% 3.08/0.89 % connected_set(a,empty_set,empty_set) undefined in model
% 3.08/0.89 % connected_set(a,empty_set,cy) undefined in model
% 3.08/0.89 % connected_set(a,empty_set,a) undefined in model
% 3.08/0.89 % connected_set(a,cy,empty_set) undefined in model
% 3.08/0.89 % connected_set(a,cy,cy) undefined in model
% 3.08/0.89 % connected_set(a,cy,a) undefined in model
% 3.08/0.89 % connected_set(a,a,empty_set) undefined in model
% 3.08/0.89 % connected_set(a,a,cy) undefined in model
% 3.08/0.89 % connected_set(a,a,a) undefined in model
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_open_covering,type,open_covering: $i * $i * $i > $o ).
% 3.08/0.89 tff(predicate_open_covering,axiom,
% 3.08/0.89 open_covering(empty_set,empty_set,empty_set)
% 3.08/0.89 & ~open_covering(empty_set,empty_set,cy)
% 3.08/0.89 & ~open_covering(empty_set,empty_set,a)
% 3.08/0.89 & open_covering(empty_set,cy,empty_set)
% 3.08/0.89 & open_covering(empty_set,cy,cy)
% 3.08/0.89 & ~open_covering(empty_set,cy,a)
% 3.08/0.89 & ~open_covering(empty_set,a,empty_set)
% 3.08/0.89 & ~open_covering(empty_set,a,cy)
% 3.08/0.89 & ~open_covering(empty_set,a,a)
% 3.08/0.89 & ~open_covering(cy,empty_set,empty_set)
% 3.08/0.89 & ~open_covering(cy,empty_set,cy)
% 3.08/0.89 & ~open_covering(cy,empty_set,a)
% 3.08/0.89 & ~open_covering(cy,cy,empty_set)
% 3.08/0.89 & open_covering(cy,cy,cy)
% 3.08/0.89 & ~open_covering(cy,cy,a)
% 3.08/0.89 & ~open_covering(cy,a,empty_set)
% 3.08/0.89 & ~open_covering(cy,a,cy)
% 3.08/0.89 & ~open_covering(cy,a,a)
% 3.08/0.89 & open_covering(a,empty_set,empty_set)
% 3.08/0.89 & ~open_covering(a,empty_set,cy)
% 3.08/0.89 & ~open_covering(a,empty_set,a)
% 3.08/0.89 & open_covering(a,cy,empty_set)
% 3.08/0.89 & ~open_covering(a,cy,cy)
% 3.08/0.89 & ~open_covering(a,cy,a)
% 3.08/0.89 & ~open_covering(a,a,empty_set)
% 3.08/0.89 & ~open_covering(a,a,cy)
% 3.08/0.89 & ~open_covering(a,a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_compact_space,type,compact_space: $i * $i > $o ).
% 3.08/0.89 tff(predicate_compact_space,axiom,
% 3.08/0.89 ~compact_space(empty_set,empty_set)
% 3.08/0.89 & compact_space(empty_set,cy)
% 3.08/0.89 & compact_space(empty_set,a)
% 3.08/0.89 & ~compact_space(cy,empty_set)
% 3.08/0.89 & compact_space(cy,cy)
% 3.08/0.89 & compact_space(cy,a)
% 3.08/0.89 & ~compact_space(a,empty_set)
% 3.08/0.89 & ~compact_space(a,cy)
% 3.08/0.89 & compact_space(a,a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_finite,type,finite: $i > $o ).
% 3.08/0.89 tff(predicate_finite,axiom,
% 3.08/0.89 finite(empty_set)
% 3.08/0.89 & ~finite(cy)
% 3.08/0.89 & ~finite(a)
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 tff(declare_compact_set,type,compact_set: $i * $i * $i > $o ).
% 3.08/0.89 tff(predicate_compact_set,axiom,
% 3.08/0.89 ~compact_set(empty_set,empty_set,empty_set)
% 3.08/0.89 % compact_set(empty_set,empty_set,cy) undefined in model
% 3.08/0.89 % compact_set(empty_set,empty_set,a) undefined in model
% 3.08/0.89 % compact_set(empty_set,cy,empty_set) undefined in model
% 3.08/0.89 % compact_set(empty_set,cy,cy) undefined in model
% 3.08/0.89 % compact_set(empty_set,cy,a) undefined in model
% 3.08/0.89 % compact_set(empty_set,a,empty_set) undefined in model
% 3.08/0.89 % compact_set(empty_set,a,cy) undefined in model
% 3.08/0.89 % compact_set(empty_set,a,a) undefined in model
% 3.08/0.89 % compact_set(cy,empty_set,empty_set) undefined in model
% 3.08/0.89 % compact_set(cy,empty_set,cy) undefined in model
% 3.08/0.89 % compact_set(cy,empty_set,a) undefined in model
% 3.08/0.89 % compact_set(cy,cy,empty_set) undefined in model
% 3.08/0.89 % compact_set(cy,cy,cy) undefined in model
% 3.08/0.89 % compact_set(cy,cy,a) undefined in model
% 3.08/0.89 % compact_set(cy,a,empty_set) undefined in model
% 3.08/0.89 % compact_set(cy,a,cy) undefined in model
% 3.08/0.89 % compact_set(cy,a,a) undefined in model
% 3.08/0.89 % compact_set(a,empty_set,empty_set) undefined in model
% 3.08/0.89 % compact_set(a,empty_set,cy) undefined in model
% 3.08/0.89 % compact_set(a,empty_set,a) undefined in model
% 3.08/0.89 % compact_set(a,cy,empty_set) undefined in model
% 3.08/0.89 % compact_set(a,cy,cy) undefined in model
% 3.08/0.89 % compact_set(a,cy,a) undefined in model
% 3.08/0.89 % compact_set(a,a,empty_set) undefined in model
% 3.08/0.89 % compact_set(a,a,cy) undefined in model
% 3.08/0.89 % compact_set(a,a,a) undefined in model
% 3.08/0.89
% 3.08/0.89 ).
% 3.08/0.89
% 3.08/0.89 % SZS output end FiniteModel for theBenchmark
% 3.08/0.89 % (27424)------------------------------
% 3.08/0.89 % (27424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.08/0.89 % (27424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.08/0.89 % (27424)Termination reason: Satisfiable
% 3.08/0.89
% 3.08/0.89 % (27424)Memory used [KB]: 13048
% 3.08/0.89 % (27424)Time elapsed: 0.294 s
% 3.08/0.89 % (27424)Instructions burned: 270 (million)
% 3.08/0.89 % (27424)------------------------------
% 3.08/0.89 % (27424)------------------------------
% 3.08/0.89 % (27423)Success in time 0.551 s
%------------------------------------------------------------------------------