TSTP Solution File: TOP002-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : TOP002-1 : 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 : n005.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 19:53:19 EDT 2022
% Result : Satisfiable 0.18s 0.56s
% Output : FiniteModel 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 14:32:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.47 % (10301)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)
% 0.18/0.47 % (10309)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.48 % (10317)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.49 % (10314)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)
% 0.18/0.49 % (10305)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.49 % (10306)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)
% 0.18/0.50 % (10297)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)
% 0.18/0.50 % (10294)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 % (10298)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)
% 0.18/0.50 % (10295)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)
% 0.18/0.50 % (10300)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (10308)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)
% 0.18/0.50 % (10292)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.50 % (10293)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)
% 0.18/0.51 % (10293)Refutation not found, incomplete strategy% (10293)------------------------------
% 0.18/0.51 % (10293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (10293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (10293)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (10293)Memory used [KB]: 5628
% 0.18/0.51 % (10293)Time elapsed: 0.118 s
% 0.18/0.51 % (10293)Instructions burned: 5 (million)
% 0.18/0.51 % (10293)------------------------------
% 0.18/0.51 % (10293)------------------------------
% 0.18/0.51 % (10313)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 % (10316)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51 % (10311)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)
% 0.18/0.51 % (10300)Instruction limit reached!
% 0.18/0.51 % (10300)------------------------------
% 0.18/0.51 % (10300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (10307)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)
% 0.18/0.51 % (10302)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (10300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (10300)Termination reason: Unknown
% 0.18/0.51 % (10300)Termination phase: Blocked clause elimination
% 0.18/0.51
% 0.18/0.51 % (10300)Memory used [KB]: 1023
% 0.18/0.51 % (10300)Time elapsed: 0.003 s
% 0.18/0.51 % (10300)Instructions burned: 2 (million)
% 0.18/0.51 % (10300)------------------------------
% 0.18/0.51 % (10300)------------------------------
% 0.18/0.51 % (10321)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)
% 0.18/0.51 TRYING [1]
% 0.18/0.51 % (10320)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.51 % (10303)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)
% 0.18/0.51 % (10304)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 TRYING [2]
% 0.18/0.52 % (10310)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52 % (10318)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)
% 0.18/0.52 % (10296)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (10315)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 % (10299)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52 % (10312)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)
% 0.18/0.52 % (10299)Instruction limit reached!
% 0.18/0.52 % (10299)------------------------------
% 0.18/0.52 % (10299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 TRYING [1]
% 0.18/0.53 % (10299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (10299)Termination reason: Unknown
% 0.18/0.53 % (10299)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (10299)Memory used [KB]: 5628
% 0.18/0.53 % (10299)Time elapsed: 0.136 s
% 0.18/0.53 % (10299)Instructions burned: 7 (million)
% 0.18/0.53 % (10299)------------------------------
% 0.18/0.53 % (10299)------------------------------
% 0.18/0.53 % (10319)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)
% 0.18/0.53 TRYING [1]
% 0.18/0.53 TRYING [2]
% 0.18/0.54 TRYING [2]
% 0.18/0.55 Finite Model Found!
% 0.18/0.55 % (10294)Instruction limit reached!
% 0.18/0.55 % (10294)------------------------------
% 0.18/0.55 % (10294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (10294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (10294)Termination reason: Unknown
% 0.18/0.55 % (10294)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (10294)Memory used [KB]: 1663
% 0.18/0.55 % (10294)Time elapsed: 0.149 s
% 0.18/0.55 % (10294)Instructions burned: 38 (million)
% 0.18/0.55 % (10294)------------------------------
% 0.18/0.55 % (10294)------------------------------
% 0.18/0.55 % (10301)Instruction limit reached!
% 0.18/0.55 % (10301)------------------------------
% 0.18/0.55 % (10301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (10301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (10301)Termination reason: Unknown
% 0.18/0.55 % (10301)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (10301)Memory used [KB]: 1791
% 0.18/0.55 % (10301)Time elapsed: 0.149 s
% 0.18/0.55 % (10301)Instructions burned: 51 (million)
% 0.18/0.55 % (10301)------------------------------
% 0.18/0.55 % (10301)------------------------------
% 0.18/0.56 % SZS status Satisfiable for theBenchmark
% 0.18/0.56 % (10309)First to succeed.
% 0.18/0.56 % SZS output start FiniteModel for theBenchmark
% 0.18/0.56 tff(declare_$i,type,$i:$tType).
% 0.18/0.56 tff(declare_$i1,type,empty_set:$i).
% 0.18/0.56 tff(declare_$i2,type,cx:$i).
% 0.18/0.56 tff(finite_domain,axiom,
% 0.18/0.56 ! [X:$i] : (
% 0.18/0.56 X = empty_set | X = cx
% 0.18/0.56 ) ).
% 0.18/0.56
% 0.18/0.56 tff(distinct_domain,axiom,
% 0.18/0.56 empty_set != cx
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_bool,type,$o:$tType).
% 0.18/0.56 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.18/0.56 tff(finite_domain,axiom,
% 0.18/0.56 ! [X:$o] : (
% 0.18/0.56 X = fmb_bool_1
% 0.18/0.56 ) ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f,type,f:$i).
% 0.18/0.56 tff(f_definition,axiom,f = empty_set).
% 0.18/0.56 tff(declare_union_of_members,type,union_of_members: $i > $i).
% 0.18/0.56 tff(function_union_of_members,axiom,
% 0.18/0.56 union_of_members(empty_set) = cx
% 0.18/0.56 & union_of_members(cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f1,type,f1: $i * $i > $i).
% 0.18/0.56 tff(function_f1,axiom,
% 0.18/0.56 f1(empty_set,empty_set) = cx
% 0.18/0.56 & f1(empty_set,cx) = cx
% 0.18/0.56 & f1(cx,empty_set) = cx
% 0.18/0.56 & f1(cx,cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_intersection_of_members,type,intersection_of_members: $i > $i).
% 0.18/0.56 tff(function_intersection_of_members,axiom,
% 0.18/0.56 intersection_of_members(empty_set) = cx
% 0.18/0.56 & intersection_of_members(cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f2,type,f2: $i * $i > $i).
% 0.18/0.56 tff(function_f2,axiom,
% 0.18/0.56 f2(empty_set,empty_set) = cx
% 0.18/0.56 & f2(empty_set,cx) = cx
% 0.18/0.56 & f2(cx,empty_set) = cx
% 0.18/0.56 & f2(cx,cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_intersection_of_sets,type,intersection_of_sets: $i * $i > $i).
% 0.18/0.56 tff(function_intersection_of_sets,axiom,
% 0.18/0.56 intersection_of_sets(empty_set,empty_set) = empty_set
% 0.18/0.56 & intersection_of_sets(empty_set,cx) = cx
% 0.18/0.56 & intersection_of_sets(cx,empty_set) = cx
% 0.18/0.56 & intersection_of_sets(cx,cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f3,type,f3: $i * $i > $i).
% 0.18/0.56 tff(function_f3,axiom,
% 0.18/0.56 f3(empty_set,empty_set) = cx
% 0.18/0.56 & f3(empty_set,cx) = empty_set
% 0.18/0.56 & f3(cx,empty_set) = empty_set
% 0.18/0.56 & f3(cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f5,type,f5: $i * $i > $i).
% 0.18/0.56 tff(function_f5,axiom,
% 0.18/0.56 f5(empty_set,empty_set) = empty_set
% 0.18/0.56 & f5(empty_set,cx) = empty_set
% 0.18/0.56 & f5(cx,empty_set) = cx
% 0.18/0.56 & f5(cx,cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f4,type,f4: $i * $i > $i).
% 0.18/0.56 tff(function_f4,axiom,
% 0.18/0.56 f4(empty_set,empty_set) = cx
% 0.18/0.56 & f4(empty_set,cx) = cx
% 0.18/0.56 & f4(cx,empty_set) = cx
% 0.18/0.56 & f4(cx,cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_relative_complement_sets,type,relative_complement_sets: $i * $i > $i).
% 0.18/0.56 tff(function_relative_complement_sets,axiom,
% 0.18/0.56 relative_complement_sets(empty_set,empty_set) = cx
% 0.18/0.56 & relative_complement_sets(empty_set,cx) = cx
% 0.18/0.56 & relative_complement_sets(cx,empty_set) = cx
% 0.18/0.56 & relative_complement_sets(cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f6,type,f6: $i * $i * $i * $i * $i > $i).
% 0.18/0.56 tff(function_f6,axiom,
% 0.18/0.56 f6(empty_set,empty_set,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f6(empty_set,empty_set,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f6(empty_set,empty_set,empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f6(empty_set,empty_set,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f6(empty_set,empty_set,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f6(empty_set,empty_set,cx,empty_set,cx) = empty_set
% 0.18/0.56 & f6(empty_set,empty_set,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f6(empty_set,empty_set,cx,cx,cx) = empty_set
% 0.18/0.56 & f6(empty_set,cx,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f6(empty_set,cx,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f6(empty_set,cx,empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f6(empty_set,cx,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f6(empty_set,cx,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f6(empty_set,cx,cx,empty_set,cx) = empty_set
% 0.18/0.56 & f6(empty_set,cx,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f6(empty_set,cx,cx,cx,cx) = cx
% 0.18/0.56 & f6(cx,empty_set,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f6(cx,empty_set,empty_set,empty_set,cx) = cx
% 0.18/0.56 & f6(cx,empty_set,empty_set,cx,empty_set) = cx
% 0.18/0.56 & f6(cx,empty_set,empty_set,cx,cx) = cx
% 0.18/0.56 & f6(cx,empty_set,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f6(cx,empty_set,cx,empty_set,cx) = cx
% 0.18/0.56 & f6(cx,empty_set,cx,cx,empty_set) = cx
% 0.18/0.56 & f6(cx,empty_set,cx,cx,cx) = cx
% 0.18/0.56 & f6(cx,cx,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f6(cx,cx,empty_set,empty_set,cx) = cx
% 0.18/0.56 & f6(cx,cx,empty_set,cx,empty_set) = cx
% 0.18/0.56 & f6(cx,cx,empty_set,cx,cx) = cx
% 0.18/0.56 & f6(cx,cx,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f6(cx,cx,cx,empty_set,cx) = cx
% 0.18/0.56 & f6(cx,cx,cx,cx,empty_set) = cx
% 0.18/0.56 & f6(cx,cx,cx,cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f7,type,f7: $i * $i > $i).
% 0.18/0.56 tff(function_f7,axiom,
% 0.18/0.56 f7(empty_set,empty_set) = empty_set
% 0.18/0.56 & f7(empty_set,cx) = cx
% 0.18/0.56 & f7(cx,empty_set) = cx
% 0.18/0.56 & f7(cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f8,type,f8: $i * $i > $i).
% 0.18/0.56 tff(function_f8,axiom,
% 0.18/0.56 f8(empty_set,empty_set) = empty_set
% 0.18/0.56 & f8(empty_set,cx) = cx
% 0.18/0.56 & f8(cx,empty_set) = cx
% 0.18/0.56 & f8(cx,cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f9,type,f9: $i * $i > $i).
% 0.18/0.56 tff(function_f9,axiom,
% 0.18/0.56 f9(empty_set,empty_set) = empty_set
% 0.18/0.56 & f9(empty_set,cx) = cx
% 0.18/0.56 & f9(cx,empty_set) = cx
% 0.18/0.56 & f9(cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_top_of_basis,type,top_of_basis: $i > $i).
% 0.18/0.56 tff(function_top_of_basis,axiom,
% 0.18/0.56 top_of_basis(empty_set) = empty_set
% 0.18/0.56 & top_of_basis(cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f10,type,f10: $i * $i * $i > $i).
% 0.18/0.56 tff(function_f10,axiom,
% 0.18/0.56 f10(empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f10(empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f10(empty_set,cx,empty_set) = cx
% 0.18/0.56 & f10(empty_set,cx,cx) = cx
% 0.18/0.56 & f10(cx,empty_set,empty_set) = cx
% 0.18/0.56 & f10(cx,empty_set,cx) = cx
% 0.18/0.56 & f10(cx,cx,empty_set) = empty_set
% 0.18/0.56 & f10(cx,cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f11,type,f11: $i * $i > $i).
% 0.18/0.56 tff(function_f11,axiom,
% 0.18/0.56 f11(empty_set,empty_set) = cx
% 0.18/0.56 & f11(empty_set,cx) = cx
% 0.18/0.56 & f11(cx,empty_set) = cx
% 0.18/0.56 & f11(cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_subspace_topology,type,subspace_topology: $i * $i * $i > $i).
% 0.18/0.56 tff(function_subspace_topology,axiom,
% 0.18/0.56 subspace_topology(empty_set,empty_set,empty_set) = cx
% 0.18/0.56 & subspace_topology(empty_set,empty_set,cx) = cx
% 0.18/0.56 & subspace_topology(empty_set,cx,empty_set) = cx
% 0.18/0.56 & subspace_topology(empty_set,cx,cx) = cx
% 0.18/0.56 & subspace_topology(cx,empty_set,empty_set) = cx
% 0.18/0.56 & subspace_topology(cx,empty_set,cx) = cx
% 0.18/0.56 & subspace_topology(cx,cx,empty_set) = cx
% 0.18/0.56 & subspace_topology(cx,cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f12,type,f12: $i * $i * $i * $i > $i).
% 0.18/0.56 tff(function_f12,axiom,
% 0.18/0.56 f12(empty_set,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f12(empty_set,empty_set,empty_set,cx) = cx
% 0.18/0.56 & f12(empty_set,empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f12(empty_set,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f12(empty_set,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f12(empty_set,cx,empty_set,cx) = cx
% 0.18/0.56 & f12(empty_set,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f12(empty_set,cx,cx,cx) = cx
% 0.18/0.56 & f12(cx,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f12(cx,empty_set,empty_set,cx) = cx
% 0.18/0.56 & f12(cx,empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f12(cx,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f12(cx,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f12(cx,cx,empty_set,cx) = empty_set
% 0.18/0.56 & f12(cx,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f12(cx,cx,cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_interior,type,interior: $i * $i * $i > $i).
% 0.18/0.56 tff(function_interior,axiom,
% 0.18/0.56 interior(empty_set,empty_set,empty_set) = cx
% 0.18/0.56 & interior(empty_set,empty_set,cx) = cx
% 0.18/0.56 & interior(empty_set,cx,empty_set) = cx
% 0.18/0.56 & interior(empty_set,cx,cx) = cx
% 0.18/0.56 & interior(cx,empty_set,empty_set) = cx
% 0.18/0.56 & interior(cx,empty_set,cx) = cx
% 0.18/0.56 & interior(cx,cx,empty_set) = cx
% 0.18/0.56 & interior(cx,cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f13,type,f13: $i * $i * $i * $i > $i).
% 0.18/0.56 tff(function_f13,axiom,
% 0.18/0.56 f13(empty_set,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f13(empty_set,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f13(empty_set,empty_set,cx,empty_set) = cx
% 0.18/0.56 & f13(empty_set,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f13(empty_set,cx,empty_set,empty_set) = cx
% 0.18/0.56 & f13(empty_set,cx,empty_set,cx) = cx
% 0.18/0.56 & f13(empty_set,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f13(empty_set,cx,cx,cx) = cx
% 0.18/0.56 & f13(cx,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f13(cx,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f13(cx,empty_set,cx,empty_set) = cx
% 0.18/0.56 & f13(cx,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f13(cx,cx,empty_set,empty_set) = cx
% 0.18/0.56 & f13(cx,cx,empty_set,cx) = empty_set
% 0.18/0.56 & f13(cx,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f13(cx,cx,cx,cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_closure,type,closure: $i * $i * $i > $i).
% 0.18/0.56 tff(function_closure,axiom,
% 0.18/0.56 closure(empty_set,empty_set,empty_set) = cx
% 0.18/0.56 & closure(empty_set,empty_set,cx) = cx
% 0.18/0.56 & closure(empty_set,cx,empty_set) = cx
% 0.18/0.56 & closure(empty_set,cx,cx) = cx
% 0.18/0.56 & closure(cx,empty_set,empty_set) = cx
% 0.18/0.56 & closure(cx,empty_set,cx) = cx
% 0.18/0.56 & closure(cx,cx,empty_set) = cx
% 0.18/0.56 & closure(cx,cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f14,type,f14: $i * $i * $i * $i > $i).
% 0.18/0.56 tff(function_f14,axiom,
% 0.18/0.56 f14(empty_set,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f14(empty_set,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f14(empty_set,empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f14(empty_set,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f14(empty_set,cx,empty_set,empty_set) = cx
% 0.18/0.56 & f14(empty_set,cx,empty_set,cx) = cx
% 0.18/0.56 & f14(empty_set,cx,cx,empty_set) = cx
% 0.18/0.56 & f14(empty_set,cx,cx,cx) = cx
% 0.18/0.56 & f14(cx,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f14(cx,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f14(cx,empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f14(cx,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f14(cx,cx,empty_set,empty_set) = cx
% 0.18/0.56 & f14(cx,cx,empty_set,cx) = cx
% 0.18/0.56 & f14(cx,cx,cx,empty_set) = cx
% 0.18/0.56 & f14(cx,cx,cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f15,type,f15: $i * $i * $i * $i * $i > $i).
% 0.18/0.56 tff(function_f15,axiom,
% 0.18/0.56 f15(empty_set,empty_set,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f15(empty_set,empty_set,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f15(empty_set,empty_set,empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f15(empty_set,empty_set,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f15(empty_set,empty_set,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f15(empty_set,empty_set,cx,empty_set,cx) = empty_set
% 0.18/0.56 & f15(empty_set,empty_set,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f15(empty_set,empty_set,cx,cx,cx) = empty_set
% 0.18/0.56 & f15(empty_set,cx,empty_set,empty_set,empty_set) = cx
% 0.18/0.56 & f15(empty_set,cx,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f15(empty_set,cx,empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f15(empty_set,cx,empty_set,cx,cx) = cx
% 0.18/0.56 & f15(empty_set,cx,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f15(empty_set,cx,cx,empty_set,cx) = empty_set
% 0.18/0.56 & f15(empty_set,cx,cx,cx,empty_set) = cx
% 0.18/0.56 & f15(empty_set,cx,cx,cx,cx) = empty_set
% 0.18/0.56 & f15(cx,empty_set,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f15(cx,empty_set,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f15(cx,empty_set,empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f15(cx,empty_set,empty_set,cx,cx) = cx
% 0.18/0.56 & f15(cx,empty_set,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f15(cx,empty_set,cx,empty_set,cx) = empty_set
% 0.18/0.56 & f15(cx,empty_set,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f15(cx,empty_set,cx,cx,cx) = cx
% 0.18/0.56 & f15(cx,cx,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f15(cx,cx,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f15(cx,cx,empty_set,cx,empty_set) = cx
% 0.18/0.56 & f15(cx,cx,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f15(cx,cx,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f15(cx,cx,cx,empty_set,cx) = empty_set
% 0.18/0.56 & f15(cx,cx,cx,cx,empty_set) = cx
% 0.18/0.56 & f15(cx,cx,cx,cx,cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f16,type,f16: $i * $i * $i * $i > $i).
% 0.18/0.56 tff(function_f16,axiom,
% 0.18/0.56 f16(empty_set,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f16(empty_set,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f16(empty_set,empty_set,cx,empty_set) = cx
% 0.18/0.56 & f16(empty_set,empty_set,cx,cx) = cx
% 0.18/0.56 & f16(empty_set,cx,empty_set,empty_set) = cx
% 0.18/0.56 & f16(empty_set,cx,empty_set,cx) = empty_set
% 0.18/0.56 & f16(empty_set,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f16(empty_set,cx,cx,cx) = empty_set
% 0.18/0.56 & f16(cx,empty_set,empty_set,empty_set) = cx
% 0.18/0.56 & f16(cx,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f16(cx,empty_set,cx,empty_set) = cx
% 0.18/0.56 & f16(cx,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f16(cx,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f16(cx,cx,empty_set,cx) = cx
% 0.18/0.56 & f16(cx,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f16(cx,cx,cx,cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_boundary,type,boundary: $i * $i * $i > $i).
% 0.18/0.56 tff(function_boundary,axiom,
% 0.18/0.56 boundary(empty_set,empty_set,empty_set) = cx
% 0.18/0.56 & boundary(empty_set,empty_set,cx) = cx
% 0.18/0.56 & boundary(empty_set,cx,empty_set) = cx
% 0.18/0.56 & boundary(empty_set,cx,cx) = cx
% 0.18/0.56 & boundary(cx,empty_set,empty_set) = cx
% 0.18/0.56 & boundary(cx,empty_set,cx) = cx
% 0.18/0.56 & boundary(cx,cx,empty_set) = cx
% 0.18/0.56 & boundary(cx,cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f17,type,f17: $i * $i * $i * $i > $i).
% 0.18/0.56 tff(function_f17,axiom,
% 0.18/0.56 f17(empty_set,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f17(empty_set,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f17(empty_set,empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f17(empty_set,empty_set,cx,cx) = cx
% 0.18/0.56 & f17(empty_set,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f17(empty_set,cx,empty_set,cx) = empty_set
% 0.18/0.56 & f17(empty_set,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f17(empty_set,cx,cx,cx) = empty_set
% 0.18/0.56 & f17(cx,empty_set,empty_set,empty_set) = cx
% 0.18/0.56 & f17(cx,empty_set,empty_set,cx) = cx
% 0.18/0.56 & f17(cx,empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f17(cx,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f17(cx,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f17(cx,cx,empty_set,cx) = cx
% 0.18/0.56 & f17(cx,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f17(cx,cx,cx,cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f18,type,f18: $i * $i * $i * $i > $i).
% 0.18/0.56 tff(function_f18,axiom,
% 0.18/0.56 f18(empty_set,empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f18(empty_set,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f18(empty_set,empty_set,cx,empty_set) = cx
% 0.18/0.56 & f18(empty_set,empty_set,cx,cx) = cx
% 0.18/0.56 & f18(empty_set,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f18(empty_set,cx,empty_set,cx) = cx
% 0.18/0.56 & f18(empty_set,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f18(empty_set,cx,cx,cx) = empty_set
% 0.18/0.56 & f18(cx,empty_set,empty_set,empty_set) = cx
% 0.18/0.56 & f18(cx,empty_set,empty_set,cx) = empty_set
% 0.18/0.56 & f18(cx,empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f18(cx,empty_set,cx,cx) = empty_set
% 0.18/0.56 & f18(cx,cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f18(cx,cx,empty_set,cx) = cx
% 0.18/0.56 & f18(cx,cx,cx,empty_set) = empty_set
% 0.18/0.56 & f18(cx,cx,cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f19,type,f19: $i * $i > $i).
% 0.18/0.56 tff(function_f19,axiom,
% 0.18/0.56 f19(empty_set,empty_set) = cx
% 0.18/0.56 & f19(empty_set,cx) = cx
% 0.18/0.56 & f19(cx,empty_set) = empty_set
% 0.18/0.56 & f19(cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f20,type,f20: $i * $i > $i).
% 0.18/0.56 tff(function_f20,axiom,
% 0.18/0.56 f20(empty_set,empty_set) = empty_set
% 0.18/0.56 & f20(empty_set,cx) = empty_set
% 0.18/0.56 & f20(cx,empty_set) = empty_set
% 0.18/0.56 & f20(cx,cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_union_of_sets,type,union_of_sets: $i * $i > $i).
% 0.18/0.56 tff(function_union_of_sets,axiom,
% 0.18/0.56 union_of_sets(empty_set,empty_set) = empty_set
% 0.18/0.56 & union_of_sets(empty_set,cx) = empty_set
% 0.18/0.56 & union_of_sets(cx,empty_set) = empty_set
% 0.18/0.56 & union_of_sets(cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f21,type,f21: $i * $i > $i).
% 0.18/0.56 tff(function_f21,axiom,
% 0.18/0.56 f21(empty_set,empty_set) = cx
% 0.18/0.56 & f21(empty_set,cx) = empty_set
% 0.18/0.56 & f21(cx,empty_set) = empty_set
% 0.18/0.56 & f21(cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f22,type,f22: $i * $i > $i).
% 0.18/0.56 tff(function_f22,axiom,
% 0.18/0.56 f22(empty_set,empty_set) = cx
% 0.18/0.56 & f22(empty_set,cx) = cx
% 0.18/0.56 & f22(cx,empty_set) = cx
% 0.18/0.56 & f22(cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f23,type,f23: $i * $i * $i > $i).
% 0.18/0.56 tff(function_f23,axiom,
% 0.18/0.56 f23(empty_set,empty_set,empty_set) = empty_set
% 0.18/0.56 & f23(empty_set,empty_set,cx) = cx
% 0.18/0.56 & f23(empty_set,cx,empty_set) = empty_set
% 0.18/0.56 & f23(empty_set,cx,cx) = cx
% 0.18/0.56 & f23(cx,empty_set,empty_set) = empty_set
% 0.18/0.56 & f23(cx,empty_set,cx) = cx
% 0.18/0.56 & f23(cx,cx,empty_set) = empty_set
% 0.18/0.56 & f23(cx,cx,cx) = cx
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_f24,type,f24: $i * $i > $i).
% 0.18/0.56 tff(function_f24,axiom,
% 0.18/0.56 f24(empty_set,empty_set) = cx
% 0.18/0.56 & f24(empty_set,cx) = empty_set
% 0.18/0.56 & f24(cx,empty_set) = cx
% 0.18/0.56 & f24(cx,cx) = empty_set
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_element_of_set,type,element_of_set: $i * $i > $o ).
% 0.18/0.56 tff(predicate_element_of_set,axiom,
% 0.18/0.56 element_of_set(empty_set,empty_set)
% 0.18/0.56 & ~element_of_set(empty_set,cx)
% 0.18/0.56 & element_of_set(cx,empty_set)
% 0.18/0.56 & ~element_of_set(cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_element_of_collection,type,element_of_collection: $i * $i > $o ).
% 0.18/0.56 tff(predicate_element_of_collection,axiom,
% 0.18/0.56 ~element_of_collection(empty_set,empty_set)
% 0.18/0.56 & ~element_of_collection(empty_set,cx)
% 0.18/0.56 & element_of_collection(cx,empty_set)
% 0.18/0.56 & ~element_of_collection(cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_topological_space,type,topological_space: $i * $i > $o ).
% 0.18/0.56 tff(predicate_topological_space,axiom,
% 0.18/0.56 ~topological_space(empty_set,empty_set)
% 0.18/0.56 & ~topological_space(empty_set,cx)
% 0.18/0.56 & ~topological_space(cx,empty_set)
% 0.18/0.56 & ~topological_space(cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_equal_sets,type,equal_sets: $i * $i > $o ).
% 0.18/0.56 tff(predicate_equal_sets,axiom,
% 0.18/0.56 ~equal_sets(empty_set,empty_set)
% 0.18/0.56 & equal_sets(empty_set,cx)
% 0.18/0.56 & ~equal_sets(cx,empty_set)
% 0.18/0.56 & equal_sets(cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_subset_collections,type,subset_collections: $i * $i > $o ).
% 0.18/0.56 tff(predicate_subset_collections,axiom,
% 0.18/0.56 subset_collections(empty_set,empty_set)
% 0.18/0.56 & subset_collections(empty_set,cx)
% 0.18/0.56 & subset_collections(cx,empty_set)
% 0.18/0.56 & subset_collections(cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_open,type,open: $i * $i * $i > $o ).
% 0.18/0.56 tff(predicate_open,axiom,
% 0.18/0.56 ~open(empty_set,empty_set,empty_set)
% 0.18/0.56 & ~open(empty_set,empty_set,cx)
% 0.18/0.56 & ~open(empty_set,cx,empty_set)
% 0.18/0.56 & ~open(empty_set,cx,cx)
% 0.18/0.56 & ~open(cx,empty_set,empty_set)
% 0.18/0.56 & ~open(cx,empty_set,cx)
% 0.18/0.56 & ~open(cx,cx,empty_set)
% 0.18/0.56 & ~open(cx,cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_closed,type,closed: $i * $i * $i > $o ).
% 0.18/0.56 tff(predicate_closed,axiom,
% 0.18/0.56 ~closed(empty_set,empty_set,empty_set)
% 0.18/0.56 & ~closed(empty_set,empty_set,cx)
% 0.18/0.56 & ~closed(empty_set,cx,empty_set)
% 0.18/0.56 & ~closed(empty_set,cx,cx)
% 0.18/0.56 & ~closed(cx,empty_set,empty_set)
% 0.18/0.56 & ~closed(cx,empty_set,cx)
% 0.18/0.56 & ~closed(cx,cx,empty_set)
% 0.18/0.56 & ~closed(cx,cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_finer,type,finer: $i * $i * $i > $o ).
% 0.18/0.56 tff(predicate_finer,axiom,
% 0.18/0.56 ~finer(empty_set,empty_set,empty_set)
% 0.18/0.56 % finer(empty_set,empty_set,cx) undefined in model
% 0.18/0.56 % finer(empty_set,cx,empty_set) undefined in model
% 0.18/0.56 % finer(empty_set,cx,cx) undefined in model
% 0.18/0.56 % finer(cx,empty_set,empty_set) undefined in model
% 0.18/0.56 % finer(cx,empty_set,cx) undefined in model
% 0.18/0.56 % finer(cx,cx,empty_set) undefined in model
% 0.18/0.56 % finer(cx,cx,cx) undefined in model
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_basis,type,basis: $i * $i > $o ).
% 0.18/0.56 tff(predicate_basis,axiom,
% 0.18/0.56 ~basis(empty_set,empty_set)
% 0.18/0.56 & ~basis(empty_set,cx)
% 0.18/0.56 & basis(cx,empty_set)
% 0.18/0.56 & basis(cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_subset_sets,type,subset_sets: $i * $i > $o ).
% 0.18/0.56 tff(predicate_subset_sets,axiom,
% 0.18/0.56 ~subset_sets(empty_set,empty_set)
% 0.18/0.56 & ~subset_sets(empty_set,cx)
% 0.18/0.56 & subset_sets(cx,empty_set)
% 0.18/0.56 & subset_sets(cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_neighborhood,type,neighborhood: $i * $i * $i * $i > $o ).
% 0.18/0.56 tff(predicate_neighborhood,axiom,
% 0.18/0.56 ~neighborhood(empty_set,empty_set,empty_set,empty_set)
% 0.18/0.56 & ~neighborhood(empty_set,empty_set,empty_set,cx)
% 0.18/0.56 & ~neighborhood(empty_set,empty_set,cx,empty_set)
% 0.18/0.56 & ~neighborhood(empty_set,empty_set,cx,cx)
% 0.18/0.56 & ~neighborhood(empty_set,cx,empty_set,empty_set)
% 0.18/0.56 & ~neighborhood(empty_set,cx,empty_set,cx)
% 0.18/0.56 & ~neighborhood(empty_set,cx,cx,empty_set)
% 0.18/0.56 & ~neighborhood(empty_set,cx,cx,cx)
% 0.18/0.56 & ~neighborhood(cx,empty_set,empty_set,empty_set)
% 0.18/0.56 & ~neighborhood(cx,empty_set,empty_set,cx)
% 0.18/0.56 & ~neighborhood(cx,empty_set,cx,empty_set)
% 0.18/0.56 & ~neighborhood(cx,empty_set,cx,cx)
% 0.18/0.56 & ~neighborhood(cx,cx,empty_set,empty_set)
% 0.18/0.56 & ~neighborhood(cx,cx,empty_set,cx)
% 0.18/0.56 & ~neighborhood(cx,cx,cx,empty_set)
% 0.18/0.56 & ~neighborhood(cx,cx,cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_limit_point,type,limit_point: $i * $i * $i * $i > $o ).
% 0.18/0.56 tff(predicate_limit_point,axiom,
% 0.18/0.56 limit_point(empty_set,empty_set,empty_set,empty_set)
% 0.18/0.56 & ~limit_point(empty_set,empty_set,empty_set,cx)
% 0.18/0.56 & ~limit_point(empty_set,empty_set,cx,empty_set)
% 0.18/0.56 & limit_point(empty_set,empty_set,cx,cx)
% 0.18/0.56 & limit_point(empty_set,cx,empty_set,empty_set)
% 0.18/0.56 & limit_point(empty_set,cx,empty_set,cx)
% 0.18/0.56 & limit_point(empty_set,cx,cx,empty_set)
% 0.18/0.56 & ~limit_point(empty_set,cx,cx,cx)
% 0.18/0.56 & limit_point(cx,empty_set,empty_set,empty_set)
% 0.18/0.56 & limit_point(cx,empty_set,empty_set,cx)
% 0.18/0.56 & ~limit_point(cx,empty_set,cx,empty_set)
% 0.18/0.56 & limit_point(cx,empty_set,cx,cx)
% 0.18/0.56 & limit_point(cx,cx,empty_set,empty_set)
% 0.18/0.56 & ~limit_point(cx,cx,empty_set,cx)
% 0.18/0.56 & ~limit_point(cx,cx,cx,empty_set)
% 0.18/0.56 & ~limit_point(cx,cx,cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_eq_p,type,eq_p: $i * $i > $o ).
% 0.18/0.56 tff(predicate_eq_p,axiom,
% 0.18/0.56 eq_p(empty_set,empty_set)
% 0.18/0.56 & eq_p(empty_set,cx)
% 0.18/0.56 & eq_p(cx,empty_set)
% 0.18/0.56 & eq_p(cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_hausdorff,type,hausdorff: $i * $i > $o ).
% 0.18/0.56 tff(predicate_hausdorff,axiom,
% 0.18/0.56 ~hausdorff(empty_set,empty_set)
% 0.18/0.56 & hausdorff(empty_set,cx)
% 0.18/0.56 & ~hausdorff(cx,empty_set)
% 0.18/0.56 & ~hausdorff(cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_disjoint_s,type,disjoint_s: $i * $i > $o ).
% 0.18/0.56 tff(predicate_disjoint_s,axiom,
% 0.18/0.56 disjoint_s(empty_set,empty_set)
% 0.18/0.56 & ~disjoint_s(empty_set,cx)
% 0.18/0.56 & ~disjoint_s(cx,empty_set)
% 0.18/0.56 & disjoint_s(cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_separation,type,separation: $i * $i * $i * $i > $o ).
% 0.18/0.56 tff(predicate_separation,axiom,
% 0.18/0.56 ~separation(empty_set,empty_set,empty_set,empty_set)
% 0.18/0.56 & ~separation(empty_set,empty_set,empty_set,cx)
% 0.18/0.56 & ~separation(empty_set,empty_set,cx,empty_set)
% 0.18/0.56 & ~separation(empty_set,empty_set,cx,cx)
% 0.18/0.56 & ~separation(empty_set,cx,empty_set,empty_set)
% 0.18/0.56 & ~separation(empty_set,cx,empty_set,cx)
% 0.18/0.56 & ~separation(empty_set,cx,cx,empty_set)
% 0.18/0.56 & ~separation(empty_set,cx,cx,cx)
% 0.18/0.56 & ~separation(cx,empty_set,empty_set,empty_set)
% 0.18/0.56 & ~separation(cx,empty_set,empty_set,cx)
% 0.18/0.56 & ~separation(cx,empty_set,cx,empty_set)
% 0.18/0.56 & ~separation(cx,empty_set,cx,cx)
% 0.18/0.56 & ~separation(cx,cx,empty_set,empty_set)
% 0.18/0.56 & ~separation(cx,cx,empty_set,cx)
% 0.18/0.56 & ~separation(cx,cx,cx,empty_set)
% 0.18/0.56 & ~separation(cx,cx,cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_connected_space,type,connected_space: $i * $i > $o ).
% 0.18/0.56 tff(predicate_connected_space,axiom,
% 0.18/0.56 ~connected_space(empty_set,empty_set)
% 0.18/0.56 & ~connected_space(empty_set,cx)
% 0.18/0.56 & ~connected_space(cx,empty_set)
% 0.18/0.56 & ~connected_space(cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_connected_set,type,connected_set: $i * $i * $i > $o ).
% 0.18/0.56 tff(predicate_connected_set,axiom,
% 0.18/0.56 ~connected_set(empty_set,empty_set,empty_set)
% 0.18/0.56 % connected_set(empty_set,empty_set,cx) undefined in model
% 0.18/0.56 % connected_set(empty_set,cx,empty_set) undefined in model
% 0.18/0.56 % connected_set(empty_set,cx,cx) undefined in model
% 0.18/0.56 % connected_set(cx,empty_set,empty_set) undefined in model
% 0.18/0.56 % connected_set(cx,empty_set,cx) undefined in model
% 0.18/0.56 % connected_set(cx,cx,empty_set) undefined in model
% 0.18/0.56 % connected_set(cx,cx,cx) undefined in model
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_open_covering,type,open_covering: $i * $i * $i > $o ).
% 0.18/0.56 tff(predicate_open_covering,axiom,
% 0.18/0.56 ~open_covering(empty_set,empty_set,empty_set)
% 0.18/0.56 & ~open_covering(empty_set,empty_set,cx)
% 0.18/0.56 & ~open_covering(empty_set,cx,empty_set)
% 0.18/0.56 & ~open_covering(empty_set,cx,cx)
% 0.18/0.56 & ~open_covering(cx,empty_set,empty_set)
% 0.18/0.56 & ~open_covering(cx,empty_set,cx)
% 0.18/0.56 & ~open_covering(cx,cx,empty_set)
% 0.18/0.56 & ~open_covering(cx,cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_compact_space,type,compact_space: $i * $i > $o ).
% 0.18/0.56 tff(predicate_compact_space,axiom,
% 0.18/0.56 ~compact_space(empty_set,empty_set)
% 0.18/0.56 & ~compact_space(empty_set,cx)
% 0.18/0.56 & ~compact_space(cx,empty_set)
% 0.18/0.56 & ~compact_space(cx,cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_finite,type,finite: $i > $o ).
% 0.18/0.56 tff(predicate_finite,axiom,
% 0.18/0.56 ~finite(empty_set)
% 0.18/0.56 & finite(cx)
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 tff(declare_compact_set,type,compact_set: $i * $i * $i > $o ).
% 0.18/0.56 tff(predicate_compact_set,axiom,
% 0.18/0.56 ~compact_set(empty_set,empty_set,empty_set)
% 0.18/0.56 % compact_set(empty_set,empty_set,cx) undefined in model
% 0.18/0.56 % compact_set(empty_set,cx,empty_set) undefined in model
% 0.18/0.56 % compact_set(empty_set,cx,cx) undefined in model
% 0.18/0.56 % compact_set(cx,empty_set,empty_set) undefined in model
% 0.18/0.56 % compact_set(cx,empty_set,cx) undefined in model
% 0.18/0.56 % compact_set(cx,cx,empty_set) undefined in model
% 0.18/0.56 % compact_set(cx,cx,cx) undefined in model
% 0.18/0.56
% 0.18/0.56 ).
% 0.18/0.56
% 0.18/0.56 % SZS output end FiniteModel for theBenchmark
% 0.18/0.56 % (10309)------------------------------
% 0.18/0.56 % (10309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (10309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (10309)Termination reason: Satisfiable
% 0.18/0.56
% 0.18/0.56 % (10309)Memory used [KB]: 7419
% 0.18/0.56 % (10309)Time elapsed: 0.141 s
% 0.18/0.56 % (10309)Instructions burned: 58 (million)
% 0.18/0.56 % (10309)------------------------------
% 0.18/0.56 % (10309)------------------------------
% 0.18/0.56 % (10291)Success in time 0.217 s
%------------------------------------------------------------------------------