TSTP Solution File: GEO162-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO162-1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n007.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 16:12:03 EDT 2022
% Result : Satisfiable 2.08s 0.65s
% Output : FiniteModel 2.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO162-1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32 % Computer : n007.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Aug 29 21:07:45 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.41 % (15414)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)
% 0.16/0.43 % (15422)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)
% 0.16/0.47 % (15410)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.48 % (15407)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.48 % (15426)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)
% 0.16/0.49 % (15418)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.49 % (15423)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)
% 0.16/0.50 % (15414)Instruction limit reached!
% 0.16/0.50 % (15414)------------------------------
% 0.16/0.50 % (15414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (15407)Instruction limit reached!
% 0.16/0.50 % (15407)------------------------------
% 0.16/0.50 % (15407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (15407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (15407)Termination reason: Unknown
% 0.16/0.50 % (15407)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (15407)Memory used [KB]: 5500
% 0.16/0.50 % (15407)Time elapsed: 0.105 s
% 0.16/0.50 % (15407)Instructions burned: 7 (million)
% 0.16/0.50 % (15407)------------------------------
% 0.16/0.50 % (15407)------------------------------
% 0.16/0.50 % (15415)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.51 % (15414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (15414)Termination reason: Unknown
% 0.16/0.51 % (15414)Termination phase: Saturation
% 0.16/0.51
% 0.16/0.51 % (15414)Memory used [KB]: 6396
% 0.16/0.51 % (15414)Time elapsed: 0.049 s
% 0.16/0.51 % (15414)Instructions burned: 68 (million)
% 0.16/0.51 % (15414)------------------------------
% 0.16/0.51 % (15414)------------------------------
% 0.16/0.52 % (15402)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)
% 0.16/0.53 % (15416)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.53 % (15412)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.53 % (15411)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.53 % (15405)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)
% 0.16/0.53 % (15404)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.54 % (15408)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.54 % (15428)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.54 % (15427)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)
% 0.16/0.54 % (15408)Instruction limit reached!
% 0.16/0.54 % (15408)------------------------------
% 0.16/0.54 % (15408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (15408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (15408)Termination reason: Unknown
% 0.16/0.54 % (15408)Termination phase: Blocked clause elimination
% 0.16/0.54
% 0.16/0.54 % (15408)Memory used [KB]: 895
% 0.16/0.54 % (15408)Time elapsed: 0.003 s
% 0.16/0.54 % (15408)Instructions burned: 2 (million)
% 0.16/0.54 % (15408)------------------------------
% 0.16/0.54 % (15408)------------------------------
% 0.16/0.54 % (15420)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)
% 0.16/0.55 % (15419)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55 % (15401)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.55 % (15401)Refutation not found, incomplete strategy% (15401)------------------------------
% 0.16/0.55 % (15401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (15401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (15401)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.55
% 0.16/0.55 % (15401)Memory used [KB]: 5500
% 0.16/0.55 % (15401)Time elapsed: 0.172 s
% 0.16/0.55 % (15401)Instructions burned: 2 (million)
% 0.16/0.55 % (15401)------------------------------
% 0.16/0.55 % (15401)------------------------------
% 0.16/0.55 % (15410)Instruction limit reached!
% 0.16/0.55 % (15410)------------------------------
% 0.16/0.55 % (15410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (15410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (15410)Termination reason: Unknown
% 0.16/0.55 % (15410)Termination phase: Saturation
% 0.16/0.55
% 0.16/0.55 % (15410)Memory used [KB]: 6012
% 0.16/0.55 % (15410)Time elapsed: 0.170 s
% 0.16/0.55 % (15410)Instructions burned: 51 (million)
% 0.16/0.55 % (15410)------------------------------
% 0.16/0.55 % (15410)------------------------------
% 0.16/0.56 % (15424)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.58 % (15429)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)
% 0.16/0.58 % (15421)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.59 % (15413)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.59 % (15406)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.59 TRYING [1]
% 0.16/0.60 TRYING [2]
% 0.16/0.60 TRYING [3]
% 0.16/0.60 % (15402)Instruction limit reached!
% 0.16/0.60 % (15402)------------------------------
% 0.16/0.60 % (15402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.60 % (15402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.60 % (15402)Termination reason: Unknown
% 0.16/0.60 % (15402)Termination phase: Saturation
% 0.16/0.60
% 0.16/0.60 % (15402)Memory used [KB]: 1407
% 0.16/0.60 % (15402)Time elapsed: 0.202 s
% 0.16/0.60 % (15402)Instructions burned: 38 (million)
% 0.16/0.60 % (15402)------------------------------
% 0.16/0.60 % (15402)------------------------------
% 0.16/0.60 % (15425)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.61 % (15426)Instruction limit reached!
% 0.16/0.61 % (15426)------------------------------
% 0.16/0.61 % (15426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.61 % (15426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.61 % (15426)Termination reason: Unknown
% 0.16/0.61 % (15426)Termination phase: Saturation
% 0.16/0.61
% 0.16/0.61 % (15426)Memory used [KB]: 6524
% 0.16/0.61 % (15426)Time elapsed: 0.047 s
% 0.16/0.61 % (15426)Instructions burned: 68 (million)
% 0.16/0.61 % (15426)------------------------------
% 0.16/0.61 % (15426)------------------------------
% 0.16/0.61 % (15417)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.62 TRYING [4]
% 0.16/0.62 % (15403)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)
% 0.16/0.62 % (15415)Instruction limit reached!
% 0.16/0.62 % (15415)------------------------------
% 0.16/0.62 % (15415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.62 % (15415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.62 % (15415)Termination reason: Unknown
% 0.16/0.62 % (15415)Termination phase: Saturation
% 0.16/0.62
% 0.16/0.62 % (15415)Memory used [KB]: 1535
% 0.16/0.62 % (15415)Time elapsed: 0.248 s
% 0.16/0.62 % (15415)Instructions burned: 75 (million)
% 0.16/0.62 % (15415)------------------------------
% 0.16/0.62 % (15415)------------------------------
% 0.16/0.63 TRYING [1]
% 0.16/0.63 TRYING [2]
% 0.16/0.63 TRYING [3]
% 0.16/0.63 % (15431)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)
% 2.08/0.64 % (15409)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)
% 2.08/0.64 % (15405)Instruction limit reached!
% 2.08/0.64 % (15405)------------------------------
% 2.08/0.64 % (15405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.64 % (15405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.64 % (15405)Termination reason: Unknown
% 2.08/0.64 % (15405)Termination phase: Saturation
% 2.08/0.64
% 2.08/0.64 % (15405)Memory used [KB]: 6140
% 2.08/0.64 % (15405)Time elapsed: 0.263 s
% 2.08/0.64 % (15405)Instructions burned: 48 (million)
% 2.08/0.64 % (15405)------------------------------
% 2.08/0.64 % (15405)------------------------------
% 2.08/0.65 % (15404)Instruction limit reached!
% 2.08/0.65 % (15404)------------------------------
% 2.08/0.65 % (15404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.65 % (15404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.65 % (15404)Termination reason: Unknown
% 2.08/0.65 % (15404)Termination phase: Saturation
% 2.08/0.65
% 2.08/0.65 % (15404)Memory used [KB]: 6140
% 2.08/0.65 % (15404)Time elapsed: 0.275 s
% 2.08/0.65 % (15404)Instructions burned: 52 (million)
% 2.08/0.65 % (15404)------------------------------
% 2.08/0.65 % (15404)------------------------------
% 2.08/0.65 TRYING [4]
% 2.08/0.65 Finite Model Found!
% 2.08/0.65 % SZS status Satisfiable for theBenchmark
% 2.56/0.66 % (15418)Instruction limit reached!
% 2.56/0.66 % (15418)------------------------------
% 2.56/0.66 % (15418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.66 % (15418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.66 % (15418)Termination reason: Unknown
% 2.56/0.66 % (15418)Termination phase: Saturation
% 2.56/0.66
% 2.56/0.66 % (15418)Memory used [KB]: 6140
% 2.56/0.66 % (15418)Time elapsed: 0.273 s
% 2.56/0.66 % (15418)Instructions burned: 100 (million)
% 2.56/0.66 % (15418)------------------------------
% 2.56/0.66 % (15418)------------------------------
% 2.56/0.66 % (15400)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)
% 2.56/0.67 TRYING [1]
% 2.56/0.67 TRYING [2]
% 2.56/0.67 TRYING [3]
% 2.56/0.68 % (15406)First to succeed.
% 2.56/0.68 % SZS output start FiniteModel for theBenchmark
% 2.56/0.68 tff(declare_$i,type,$i:$tType).
% 2.56/0.68 tff(declare_$i1,type,at_least_one_line:$i).
% 2.56/0.68 tff(declare_$i2,type,fmb_$i_2:$i).
% 2.56/0.68 tff(declare_$i3,type,fmb_$i_3:$i).
% 2.56/0.68 tff(declare_$i4,type,fmb_$i_4:$i).
% 2.56/0.68 tff(finite_domain,axiom,
% 2.56/0.68 ! [X:$i] : (
% 2.56/0.68 X = at_least_one_line | X = fmb_$i_2 | X = fmb_$i_3 | X = fmb_$i_4
% 2.56/0.68 ) ).
% 2.56/0.68
% 2.56/0.68 tff(distinct_domain,axiom,
% 2.56/0.68 at_least_one_line != fmb_$i_2 & at_least_one_line != fmb_$i_3 & at_least_one_line != fmb_$i_4 & fmb_$i_2 != fmb_$i_3 & fmb_$i_2 != fmb_$i_4 &
% 2.56/0.68 fmb_$i_3 != fmb_$i_4
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_bool,type,$o:$tType).
% 2.56/0.68 tff(declare_bool1,type,fmb_bool_1:$o).
% 2.56/0.68 tff(finite_domain,axiom,
% 2.56/0.68 ! [X:$o] : (
% 2.56/0.68 X = fmb_bool_1
% 2.56/0.68 ) ).
% 2.56/0.68
% 2.56/0.68 tff(declare_line_from_to,type,line_from_to: $i * $i > $i).
% 2.56/0.68 tff(function_line_from_to,axiom,
% 2.56/0.68 line_from_to(at_least_one_line,at_least_one_line) = fmb_$i_2
% 2.56/0.68 & line_from_to(at_least_one_line,fmb_$i_2) = fmb_$i_2
% 2.56/0.68 & line_from_to(at_least_one_line,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & line_from_to(at_least_one_line,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_from_to(fmb_$i_2,at_least_one_line) = fmb_$i_2
% 2.56/0.68 & line_from_to(fmb_$i_2,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & line_from_to(fmb_$i_2,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & line_from_to(fmb_$i_2,fmb_$i_4) = fmb_$i_4
% 2.56/0.68 & line_from_to(fmb_$i_3,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_from_to(fmb_$i_3,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & line_from_to(fmb_$i_3,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & line_from_to(fmb_$i_3,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_from_to(fmb_$i_4,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_from_to(fmb_$i_4,fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & line_from_to(fmb_$i_4,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & line_from_to(fmb_$i_4,fmb_$i_4) = at_least_one_line
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_point_1_on_line,type,point_1_on_line: $i > $i).
% 2.56/0.68 tff(function_point_1_on_line,axiom,
% 2.56/0.68 point_1_on_line(at_least_one_line) = at_least_one_line
% 2.56/0.68 & point_1_on_line(fmb_$i_2) = fmb_$i_2
% 2.56/0.68 & point_1_on_line(fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & point_1_on_line(fmb_$i_4) = fmb_$i_4
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_point_2_on_line,type,point_2_on_line: $i > $i).
% 2.56/0.68 tff(function_point_2_on_line,axiom,
% 2.56/0.68 point_2_on_line(at_least_one_line) = fmb_$i_3
% 2.56/0.68 & point_2_on_line(fmb_$i_2) = at_least_one_line
% 2.56/0.68 & point_2_on_line(fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & point_2_on_line(fmb_$i_4) = fmb_$i_2
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_a_point_not_on_line,type,a_point_not_on_line: $i > $i).
% 2.56/0.68 tff(function_a_point_not_on_line,axiom,
% 2.56/0.68 a_point_not_on_line(at_least_one_line) = fmb_$i_2
% 2.56/0.68 & a_point_not_on_line(fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & a_point_not_on_line(fmb_$i_3) = fmb_$i_4
% 2.56/0.68 & a_point_not_on_line(fmb_$i_4) = fmb_$i_3
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_a_point_on_plane,type,a_point_on_plane: $i > $i).
% 2.56/0.68 tff(function_a_point_on_plane,axiom,
% 2.56/0.68 a_point_on_plane(at_least_one_line) = fmb_$i_2
% 2.56/0.68 & a_point_on_plane(fmb_$i_2) = fmb_$i_2
% 2.56/0.68 & a_point_on_plane(fmb_$i_3) = fmb_$i_4
% 2.56/0.68 & a_point_on_plane(fmb_$i_4) = fmb_$i_4
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_a_point_not_on_plane,type,a_point_not_on_plane: $i > $i).
% 2.56/0.68 tff(function_a_point_not_on_plane,axiom,
% 2.56/0.68 a_point_not_on_plane(at_least_one_line) = at_least_one_line
% 2.56/0.68 & a_point_not_on_plane(fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & a_point_not_on_plane(fmb_$i_3) = at_least_one_line
% 2.56/0.68 & a_point_not_on_plane(fmb_$i_4) = fmb_$i_3
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_plane_for_points,type,plane_for_points: $i * $i * $i > $i).
% 2.56/0.68 tff(function_plane_for_points,axiom,
% 2.56/0.68 plane_for_points(at_least_one_line,at_least_one_line,at_least_one_line) = at_least_one_line
% 2.56/0.68 & plane_for_points(at_least_one_line,at_least_one_line,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & plane_for_points(at_least_one_line,at_least_one_line,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & plane_for_points(at_least_one_line,at_least_one_line,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & plane_for_points(at_least_one_line,fmb_$i_2,at_least_one_line) = fmb_$i_3
% 2.56/0.68 & plane_for_points(at_least_one_line,fmb_$i_2,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & plane_for_points(at_least_one_line,fmb_$i_2,fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & plane_for_points(at_least_one_line,fmb_$i_2,fmb_$i_4) = fmb_$i_4
% 2.56/0.68 & plane_for_points(at_least_one_line,fmb_$i_3,at_least_one_line) = fmb_$i_2
% 2.56/0.68 & plane_for_points(at_least_one_line,fmb_$i_3,fmb_$i_2) = fmb_$i_2
% 2.56/0.68 & plane_for_points(at_least_one_line,fmb_$i_3,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & plane_for_points(at_least_one_line,fmb_$i_3,fmb_$i_4) = fmb_$i_4
% 2.56/0.68 & plane_for_points(at_least_one_line,fmb_$i_4,at_least_one_line) = fmb_$i_2
% 2.56/0.68 & plane_for_points(at_least_one_line,fmb_$i_4,fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & plane_for_points(at_least_one_line,fmb_$i_4,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & plane_for_points(at_least_one_line,fmb_$i_4,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_2,at_least_one_line,at_least_one_line) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_2,at_least_one_line,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_2,at_least_one_line,fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_2,at_least_one_line,fmb_$i_4) = fmb_$i_4
% 2.56/0.68 & plane_for_points(fmb_$i_2,fmb_$i_2,at_least_one_line) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_2,fmb_$i_2,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_2,fmb_$i_2,fmb_$i_4) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_2,fmb_$i_3,at_least_one_line) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_2,fmb_$i_3,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_2,fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_2,fmb_$i_3,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & plane_for_points(fmb_$i_2,fmb_$i_4,at_least_one_line) = fmb_$i_4
% 2.56/0.68 & plane_for_points(fmb_$i_2,fmb_$i_4,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & plane_for_points(fmb_$i_2,fmb_$i_4,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & plane_for_points(fmb_$i_2,fmb_$i_4,fmb_$i_4) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_3,at_least_one_line,at_least_one_line) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_3,at_least_one_line,fmb_$i_2) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_3,at_least_one_line,fmb_$i_3) = fmb_$i_4
% 2.56/0.68 & plane_for_points(fmb_$i_3,at_least_one_line,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_3,fmb_$i_2,at_least_one_line) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_3,fmb_$i_2,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_3,fmb_$i_2,fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_3,fmb_$i_2,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & plane_for_points(fmb_$i_3,fmb_$i_3,at_least_one_line) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_3,fmb_$i_3,fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & plane_for_points(fmb_$i_3,fmb_$i_3,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & plane_for_points(fmb_$i_3,fmb_$i_3,fmb_$i_4) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_3,fmb_$i_4,at_least_one_line) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_3,fmb_$i_4,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & plane_for_points(fmb_$i_3,fmb_$i_4,fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_3,fmb_$i_4,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_4,at_least_one_line,at_least_one_line) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_4,at_least_one_line,fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & plane_for_points(fmb_$i_4,at_least_one_line,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_4,at_least_one_line,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_4,fmb_$i_2,at_least_one_line) = fmb_$i_4
% 2.56/0.68 & plane_for_points(fmb_$i_4,fmb_$i_2,fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & plane_for_points(fmb_$i_4,fmb_$i_2,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & plane_for_points(fmb_$i_4,fmb_$i_2,fmb_$i_4) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_4,fmb_$i_3,at_least_one_line) = at_least_one_line
% 2.56/0.68 & plane_for_points(fmb_$i_4,fmb_$i_3,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & plane_for_points(fmb_$i_4,fmb_$i_3,fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_4,fmb_$i_3,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_4,fmb_$i_4,at_least_one_line) = fmb_$i_3
% 2.56/0.68 & plane_for_points(fmb_$i_4,fmb_$i_4,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & plane_for_points(fmb_$i_4,fmb_$i_4,fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & plane_for_points(fmb_$i_4,fmb_$i_4,fmb_$i_4) = fmb_$i_2
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_common_point_on_planes,type,common_point_on_planes: $i * $i * $i > $i).
% 2.56/0.68 tff(function_common_point_on_planes,axiom,
% 2.56/0.68 common_point_on_planes(at_least_one_line,at_least_one_line,at_least_one_line) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(at_least_one_line,at_least_one_line,fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(at_least_one_line,at_least_one_line,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(at_least_one_line,at_least_one_line,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & common_point_on_planes(at_least_one_line,fmb_$i_2,at_least_one_line) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(at_least_one_line,fmb_$i_2,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(at_least_one_line,fmb_$i_2,fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & common_point_on_planes(at_least_one_line,fmb_$i_2,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & common_point_on_planes(at_least_one_line,fmb_$i_3,at_least_one_line) = at_least_one_line
% 2.56/0.68 & common_point_on_planes(at_least_one_line,fmb_$i_3,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(at_least_one_line,fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(at_least_one_line,fmb_$i_3,fmb_$i_4) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(at_least_one_line,fmb_$i_4,at_least_one_line) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(at_least_one_line,fmb_$i_4,fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(at_least_one_line,fmb_$i_4,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(at_least_one_line,fmb_$i_4,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,at_least_one_line,at_least_one_line) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,at_least_one_line,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,at_least_one_line,fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,at_least_one_line,fmb_$i_4) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,fmb_$i_2,at_least_one_line) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,fmb_$i_2,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,fmb_$i_2,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,fmb_$i_3,at_least_one_line) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,fmb_$i_3,fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,fmb_$i_3,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,fmb_$i_4,at_least_one_line) = fmb_$i_2
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,fmb_$i_4,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,fmb_$i_4,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_2,fmb_$i_4,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,at_least_one_line,at_least_one_line) = at_least_one_line
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,at_least_one_line,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,at_least_one_line,fmb_$i_3) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,at_least_one_line,fmb_$i_4) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,fmb_$i_2,at_least_one_line) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,fmb_$i_2,fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,fmb_$i_2,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,fmb_$i_2,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,fmb_$i_3,at_least_one_line) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,fmb_$i_3,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,fmb_$i_3,fmb_$i_3) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,fmb_$i_3,fmb_$i_4) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,fmb_$i_4,at_least_one_line) = at_least_one_line
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,fmb_$i_4,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,fmb_$i_4,fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & common_point_on_planes(fmb_$i_3,fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,at_least_one_line,at_least_one_line) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,at_least_one_line,fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,at_least_one_line,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,at_least_one_line,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,fmb_$i_2,at_least_one_line) = fmb_$i_2
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,fmb_$i_2,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,fmb_$i_2,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,fmb_$i_2,fmb_$i_4) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,fmb_$i_3,at_least_one_line) = at_least_one_line
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,fmb_$i_3,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,fmb_$i_3,fmb_$i_4) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,fmb_$i_4,at_least_one_line) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,fmb_$i_4,fmb_$i_2) = fmb_$i_4
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,fmb_$i_4,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & common_point_on_planes(fmb_$i_4,fmb_$i_4,fmb_$i_4) = fmb_$i_3
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_line_through_3_points,type,line_through_3_points: $i * $i * $i > $i).
% 2.56/0.68 tff(function_line_through_3_points,axiom,
% 2.56/0.68 line_through_3_points(at_least_one_line,at_least_one_line,at_least_one_line) = fmb_$i_4
% 2.56/0.68 & line_through_3_points(at_least_one_line,at_least_one_line,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,at_least_one_line,fmb_$i_3) = fmb_$i_4
% 2.56/0.68 & line_through_3_points(at_least_one_line,at_least_one_line,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,fmb_$i_2,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,fmb_$i_2,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,fmb_$i_2,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,fmb_$i_2,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,fmb_$i_3,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,fmb_$i_3,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,fmb_$i_3,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,fmb_$i_3,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,fmb_$i_4,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,fmb_$i_4,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,fmb_$i_4,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & line_through_3_points(at_least_one_line,fmb_$i_4,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_2,at_least_one_line,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_2,at_least_one_line,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_2,at_least_one_line,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_2,at_least_one_line,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_2,fmb_$i_2,at_least_one_line) = fmb_$i_2
% 2.56/0.68 & line_through_3_points(fmb_$i_2,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 2.56/0.68 & line_through_3_points(fmb_$i_2,fmb_$i_2,fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & line_through_3_points(fmb_$i_2,fmb_$i_2,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_2,fmb_$i_3,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_2,fmb_$i_3,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_2,fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & line_through_3_points(fmb_$i_2,fmb_$i_3,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_2,fmb_$i_4,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_2,fmb_$i_4,fmb_$i_2) = fmb_$i_2
% 2.56/0.68 & line_through_3_points(fmb_$i_2,fmb_$i_4,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_2,fmb_$i_4,fmb_$i_4) = fmb_$i_3
% 2.56/0.68 & line_through_3_points(fmb_$i_3,at_least_one_line,at_least_one_line) = fmb_$i_4
% 2.56/0.68 & line_through_3_points(fmb_$i_3,at_least_one_line,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_3,at_least_one_line,fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & line_through_3_points(fmb_$i_3,at_least_one_line,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_3,fmb_$i_2,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_3,fmb_$i_2,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_3,fmb_$i_2,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_3,fmb_$i_2,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_3,fmb_$i_3,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_3,fmb_$i_3,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & line_through_3_points(fmb_$i_3,fmb_$i_3,fmb_$i_3) = fmb_$i_4
% 2.56/0.68 & line_through_3_points(fmb_$i_3,fmb_$i_3,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_3,fmb_$i_4,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_3,fmb_$i_4,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_3,fmb_$i_4,fmb_$i_3) = fmb_$i_3
% 2.56/0.68 & line_through_3_points(fmb_$i_3,fmb_$i_4,fmb_$i_4) = fmb_$i_3
% 2.56/0.68 & line_through_3_points(fmb_$i_4,at_least_one_line,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_4,at_least_one_line,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & line_through_3_points(fmb_$i_4,at_least_one_line,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_4,at_least_one_line,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_4,fmb_$i_2,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_4,fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 2.56/0.68 & line_through_3_points(fmb_$i_4,fmb_$i_2,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_4,fmb_$i_2,fmb_$i_4) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_4,fmb_$i_3,at_least_one_line) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_4,fmb_$i_3,fmb_$i_2) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_4,fmb_$i_3,fmb_$i_3) = at_least_one_line
% 2.56/0.68 & line_through_3_points(fmb_$i_4,fmb_$i_3,fmb_$i_4) = fmb_$i_2
% 2.56/0.68 & line_through_3_points(fmb_$i_4,fmb_$i_4,at_least_one_line) = fmb_$i_4
% 2.56/0.68 & line_through_3_points(fmb_$i_4,fmb_$i_4,fmb_$i_2) = fmb_$i_3
% 2.56/0.68 & line_through_3_points(fmb_$i_4,fmb_$i_4,fmb_$i_3) = fmb_$i_2
% 2.56/0.68 & line_through_3_points(fmb_$i_4,fmb_$i_4,fmb_$i_4) = fmb_$i_3
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_point_on_line,type,point_on_line: $i * $i > $o ).
% 2.56/0.68 tff(predicate_point_on_line,axiom,
% 2.56/0.68 point_on_line(at_least_one_line,at_least_one_line)
% 2.56/0.68 & point_on_line(at_least_one_line,fmb_$i_2)
% 2.56/0.68 & ~point_on_line(at_least_one_line,fmb_$i_3)
% 2.56/0.68 & ~point_on_line(at_least_one_line,fmb_$i_4)
% 2.56/0.68 & ~point_on_line(fmb_$i_2,at_least_one_line)
% 2.56/0.68 & point_on_line(fmb_$i_2,fmb_$i_2)
% 2.56/0.68 & point_on_line(fmb_$i_2,fmb_$i_3)
% 2.56/0.68 & point_on_line(fmb_$i_2,fmb_$i_4)
% 2.56/0.68 & point_on_line(fmb_$i_3,at_least_one_line)
% 2.56/0.68 & ~point_on_line(fmb_$i_3,fmb_$i_2)
% 2.56/0.68 & point_on_line(fmb_$i_3,fmb_$i_3)
% 2.56/0.68 & ~point_on_line(fmb_$i_3,fmb_$i_4)
% 2.56/0.68 & point_on_line(fmb_$i_4,at_least_one_line)
% 2.56/0.68 & ~point_on_line(fmb_$i_4,fmb_$i_2)
% 2.56/0.68 & ~point_on_line(fmb_$i_4,fmb_$i_3)
% 2.56/0.68 & point_on_line(fmb_$i_4,fmb_$i_4)
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_point,type,point: $i > $o ).
% 2.56/0.68 tff(predicate_point,axiom,
% 2.56/0.68 point(at_least_one_line)
% 2.56/0.68 & point(fmb_$i_2)
% 2.56/0.68 & point(fmb_$i_3)
% 2.56/0.68 & point(fmb_$i_4)
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_line,type,line: $i > $o ).
% 2.56/0.68 tff(predicate_line,axiom,
% 2.56/0.68 line(at_least_one_line)
% 2.56/0.68 & line(fmb_$i_2)
% 2.56/0.68 & line(fmb_$i_3)
% 2.56/0.68 & line(fmb_$i_4)
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_plane,type,plane: $i > $o ).
% 2.56/0.68 tff(predicate_plane,axiom,
% 2.56/0.68 plane(at_least_one_line)
% 2.56/0.68 & plane(fmb_$i_2)
% 2.56/0.68 & ~plane(fmb_$i_3)
% 2.56/0.68 & plane(fmb_$i_4)
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_point_on_plane,type,point_on_plane: $i * $i > $o ).
% 2.56/0.68 tff(predicate_point_on_plane,axiom,
% 2.56/0.68 ~point_on_plane(at_least_one_line,at_least_one_line)
% 2.56/0.68 & point_on_plane(at_least_one_line,fmb_$i_2)
% 2.56/0.68 & point_on_plane(at_least_one_line,fmb_$i_3)
% 2.56/0.68 & point_on_plane(at_least_one_line,fmb_$i_4)
% 2.56/0.68 & point_on_plane(fmb_$i_2,at_least_one_line)
% 2.56/0.68 & point_on_plane(fmb_$i_2,fmb_$i_2)
% 2.56/0.68 & point_on_plane(fmb_$i_2,fmb_$i_3)
% 2.56/0.68 & point_on_plane(fmb_$i_2,fmb_$i_4)
% 2.56/0.68 & point_on_plane(fmb_$i_3,at_least_one_line)
% 2.56/0.68 & point_on_plane(fmb_$i_3,fmb_$i_2)
% 2.56/0.68 & ~point_on_plane(fmb_$i_3,fmb_$i_3)
% 2.56/0.68 & ~point_on_plane(fmb_$i_3,fmb_$i_4)
% 2.56/0.68 & point_on_plane(fmb_$i_4,at_least_one_line)
% 2.56/0.68 & ~point_on_plane(fmb_$i_4,fmb_$i_2)
% 2.56/0.68 & point_on_plane(fmb_$i_4,fmb_$i_3)
% 2.56/0.68 & point_on_plane(fmb_$i_4,fmb_$i_4)
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_collinear,type,collinear: $i * $i * $i > $o ).
% 2.56/0.68 tff(predicate_collinear,axiom,
% 2.56/0.68 ~collinear(at_least_one_line,at_least_one_line,at_least_one_line)
% 2.56/0.68 & ~collinear(at_least_one_line,at_least_one_line,fmb_$i_2)
% 2.56/0.68 & ~collinear(at_least_one_line,at_least_one_line,fmb_$i_3)
% 2.56/0.68 & ~collinear(at_least_one_line,at_least_one_line,fmb_$i_4)
% 2.56/0.68 & ~collinear(at_least_one_line,fmb_$i_2,at_least_one_line)
% 2.56/0.68 & ~collinear(at_least_one_line,fmb_$i_2,fmb_$i_2)
% 2.56/0.68 & ~collinear(at_least_one_line,fmb_$i_2,fmb_$i_3)
% 2.56/0.68 & ~collinear(at_least_one_line,fmb_$i_2,fmb_$i_4)
% 2.56/0.68 & ~collinear(at_least_one_line,fmb_$i_3,at_least_one_line)
% 2.56/0.68 & ~collinear(at_least_one_line,fmb_$i_3,fmb_$i_2)
% 2.56/0.68 & ~collinear(at_least_one_line,fmb_$i_3,fmb_$i_3)
% 2.56/0.68 & collinear(at_least_one_line,fmb_$i_3,fmb_$i_4)
% 2.56/0.68 & ~collinear(at_least_one_line,fmb_$i_4,at_least_one_line)
% 2.56/0.68 & ~collinear(at_least_one_line,fmb_$i_4,fmb_$i_2)
% 2.56/0.68 & collinear(at_least_one_line,fmb_$i_4,fmb_$i_3)
% 2.56/0.68 & ~collinear(at_least_one_line,fmb_$i_4,fmb_$i_4)
% 2.56/0.68 & ~collinear(fmb_$i_2,at_least_one_line,at_least_one_line)
% 2.56/0.68 & ~collinear(fmb_$i_2,at_least_one_line,fmb_$i_2)
% 2.56/0.68 & ~collinear(fmb_$i_2,at_least_one_line,fmb_$i_3)
% 2.56/0.68 & ~collinear(fmb_$i_2,at_least_one_line,fmb_$i_4)
% 2.56/0.68 & ~collinear(fmb_$i_2,fmb_$i_2,at_least_one_line)
% 2.56/0.68 & ~collinear(fmb_$i_2,fmb_$i_2,fmb_$i_2)
% 2.56/0.68 & ~collinear(fmb_$i_2,fmb_$i_2,fmb_$i_3)
% 2.56/0.68 & ~collinear(fmb_$i_2,fmb_$i_2,fmb_$i_4)
% 2.56/0.68 & ~collinear(fmb_$i_2,fmb_$i_3,at_least_one_line)
% 2.56/0.68 & ~collinear(fmb_$i_2,fmb_$i_3,fmb_$i_2)
% 2.56/0.68 & ~collinear(fmb_$i_2,fmb_$i_3,fmb_$i_3)
% 2.56/0.68 & ~collinear(fmb_$i_2,fmb_$i_3,fmb_$i_4)
% 2.56/0.68 & ~collinear(fmb_$i_2,fmb_$i_4,at_least_one_line)
% 2.56/0.68 & ~collinear(fmb_$i_2,fmb_$i_4,fmb_$i_2)
% 2.56/0.68 & ~collinear(fmb_$i_2,fmb_$i_4,fmb_$i_3)
% 2.56/0.68 & ~collinear(fmb_$i_2,fmb_$i_4,fmb_$i_4)
% 2.56/0.68 & ~collinear(fmb_$i_3,at_least_one_line,at_least_one_line)
% 2.56/0.68 & ~collinear(fmb_$i_3,at_least_one_line,fmb_$i_2)
% 2.56/0.68 & ~collinear(fmb_$i_3,at_least_one_line,fmb_$i_3)
% 2.56/0.68 & collinear(fmb_$i_3,at_least_one_line,fmb_$i_4)
% 2.56/0.68 & ~collinear(fmb_$i_3,fmb_$i_2,at_least_one_line)
% 2.56/0.68 & ~collinear(fmb_$i_3,fmb_$i_2,fmb_$i_2)
% 2.56/0.68 & ~collinear(fmb_$i_3,fmb_$i_2,fmb_$i_3)
% 2.56/0.68 & ~collinear(fmb_$i_3,fmb_$i_2,fmb_$i_4)
% 2.56/0.68 & ~collinear(fmb_$i_3,fmb_$i_3,at_least_one_line)
% 2.56/0.68 & ~collinear(fmb_$i_3,fmb_$i_3,fmb_$i_2)
% 2.56/0.68 & ~collinear(fmb_$i_3,fmb_$i_3,fmb_$i_3)
% 2.56/0.68 & ~collinear(fmb_$i_3,fmb_$i_3,fmb_$i_4)
% 2.56/0.68 & collinear(fmb_$i_3,fmb_$i_4,at_least_one_line)
% 2.56/0.68 & ~collinear(fmb_$i_3,fmb_$i_4,fmb_$i_2)
% 2.56/0.68 & ~collinear(fmb_$i_3,fmb_$i_4,fmb_$i_3)
% 2.56/0.68 & ~collinear(fmb_$i_3,fmb_$i_4,fmb_$i_4)
% 2.56/0.68 & ~collinear(fmb_$i_4,at_least_one_line,at_least_one_line)
% 2.56/0.68 & ~collinear(fmb_$i_4,at_least_one_line,fmb_$i_2)
% 2.56/0.68 & collinear(fmb_$i_4,at_least_one_line,fmb_$i_3)
% 2.56/0.68 & ~collinear(fmb_$i_4,at_least_one_line,fmb_$i_4)
% 2.56/0.68 & ~collinear(fmb_$i_4,fmb_$i_2,at_least_one_line)
% 2.56/0.68 & ~collinear(fmb_$i_4,fmb_$i_2,fmb_$i_2)
% 2.56/0.68 & ~collinear(fmb_$i_4,fmb_$i_2,fmb_$i_3)
% 2.56/0.68 & ~collinear(fmb_$i_4,fmb_$i_2,fmb_$i_4)
% 2.56/0.68 & collinear(fmb_$i_4,fmb_$i_3,at_least_one_line)
% 2.56/0.68 & ~collinear(fmb_$i_4,fmb_$i_3,fmb_$i_2)
% 2.56/0.68 & ~collinear(fmb_$i_4,fmb_$i_3,fmb_$i_3)
% 2.56/0.68 & ~collinear(fmb_$i_4,fmb_$i_3,fmb_$i_4)
% 2.56/0.68 & ~collinear(fmb_$i_4,fmb_$i_4,at_least_one_line)
% 2.56/0.68 & ~collinear(fmb_$i_4,fmb_$i_4,fmb_$i_2)
% 2.56/0.68 & ~collinear(fmb_$i_4,fmb_$i_4,fmb_$i_3)
% 2.56/0.68 & ~collinear(fmb_$i_4,fmb_$i_4,fmb_$i_4)
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 tff(declare_line_on_plane,type,line_on_plane: $i * $i > $o ).
% 2.56/0.68 tff(predicate_line_on_plane,axiom,
% 2.56/0.68 line_on_plane(at_least_one_line,at_least_one_line)
% 2.56/0.68 % line_on_plane(at_least_one_line,fmb_$i_2) undefined in model
% 2.56/0.68 % line_on_plane(at_least_one_line,fmb_$i_3) undefined in model
% 2.56/0.68 % line_on_plane(at_least_one_line,fmb_$i_4) undefined in model
% 2.56/0.68 % line_on_plane(fmb_$i_2,at_least_one_line) undefined in model
% 2.56/0.68 % line_on_plane(fmb_$i_2,fmb_$i_2) undefined in model
% 2.56/0.68 % line_on_plane(fmb_$i_2,fmb_$i_3) undefined in model
% 2.56/0.68 % line_on_plane(fmb_$i_2,fmb_$i_4) undefined in model
% 2.56/0.68 % line_on_plane(fmb_$i_3,at_least_one_line) undefined in model
% 2.56/0.68 % line_on_plane(fmb_$i_3,fmb_$i_2) undefined in model
% 2.56/0.68 % line_on_plane(fmb_$i_3,fmb_$i_3) undefined in model
% 2.56/0.68 % line_on_plane(fmb_$i_3,fmb_$i_4) undefined in model
% 2.56/0.68 % line_on_plane(fmb_$i_4,at_least_one_line) undefined in model
% 2.56/0.68 % line_on_plane(fmb_$i_4,fmb_$i_2) undefined in model
% 2.56/0.68 % line_on_plane(fmb_$i_4,fmb_$i_3) undefined in model
% 2.56/0.68 % line_on_plane(fmb_$i_4,fmb_$i_4) undefined in model
% 2.56/0.68
% 2.56/0.68 ).
% 2.56/0.68
% 2.56/0.68 % SZS output end FiniteModel for theBenchmark
% 2.56/0.68 % (15406)------------------------------
% 2.56/0.68 % (15406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.68 % (15406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.68 % (15406)Termination reason: Satisfiable
% 2.56/0.68
% 2.56/0.68 % (15406)Memory used [KB]: 6652
% 2.56/0.68 % (15406)Time elapsed: 0.255 s
% 2.56/0.68 % (15406)Instructions burned: 44 (million)
% 2.56/0.68 % (15406)------------------------------
% 2.56/0.68 % (15406)------------------------------
% 2.56/0.68 % (15399)Success in time 0.344 s
%------------------------------------------------------------------------------