TSTP Solution File: TOP015-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : TOP015-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:53:22 EDT 2022
% Result : Satisfiable 1.78s 0.59s
% Output : FiniteModel 1.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP015-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n021.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 14:31:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (9735)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)
% 0.19/0.50 % (9716)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (9727)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)
% 0.19/0.51 % (9720)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (9732)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51 % (9720)Instruction limit reached!
% 0.19/0.51 % (9720)------------------------------
% 0.19/0.51 % (9720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (9720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9720)Termination reason: Unknown
% 0.19/0.51 % (9720)Termination phase: Blocked clause elimination
% 0.19/0.51
% 0.19/0.51 % (9720)Memory used [KB]: 1023
% 0.19/0.51 % (9720)Time elapsed: 0.004 s
% 0.19/0.51 % (9720)Instructions burned: 3 (million)
% 0.19/0.51 % (9720)------------------------------
% 0.19/0.51 % (9720)------------------------------
% 0.19/0.51 % (9734)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51 % (9724)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (9713)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (9718)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (9719)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (9741)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (9719)Instruction limit reached!
% 0.19/0.53 % (9719)------------------------------
% 0.19/0.53 % (9719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9719)Termination reason: Unknown
% 0.19/0.53 % (9719)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (9719)Memory used [KB]: 5628
% 0.19/0.53 % (9719)Time elapsed: 0.135 s
% 0.19/0.53 % (9719)Instructions burned: 7 (million)
% 0.19/0.53 % (9719)------------------------------
% 0.19/0.53 % (9719)------------------------------
% 0.19/0.53 % (9717)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (9738)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (9740)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (9739)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (9726)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (9715)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (9714)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (9721)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (9712)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.54 % (9713)Refutation not found, incomplete strategy% (9713)------------------------------
% 0.19/0.54 % (9713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9713)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (9713)Memory used [KB]: 5628
% 0.19/0.54 % (9713)Time elapsed: 0.123 s
% 0.19/0.54 % (9713)Instructions burned: 5 (million)
% 0.19/0.54 % (9713)------------------------------
% 0.19/0.54 % (9713)------------------------------
% 0.19/0.54 % (9733)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (9729)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (9723)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (9722)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (9737)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (9725)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (9731)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (9730)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.62/0.56 TRYING [1]
% 1.62/0.56 % (9728)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)
% 1.62/0.56 TRYING [2]
% 1.62/0.56 TRYING [1]
% 1.62/0.56 TRYING [2]
% 1.62/0.56 % (9736)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.78/0.57 TRYING [1]
% 1.78/0.57 TRYING [2]
% 1.78/0.59 % (9714)Instruction limit reached!
% 1.78/0.59 % (9714)------------------------------
% 1.78/0.59 % (9714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59 % (9714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59 % (9714)Termination reason: Unknown
% 1.78/0.59 % (9714)Termination phase: Saturation
% 1.78/0.59
% 1.78/0.59 % (9714)Memory used [KB]: 1663
% 1.78/0.59 % (9714)Time elapsed: 0.179 s
% 1.78/0.59 % (9714)Instructions burned: 38 (million)
% 1.78/0.59 % (9714)------------------------------
% 1.78/0.59 % (9714)------------------------------
% 1.78/0.59 Finite Model Found!
% 1.78/0.59 % SZS status Satisfiable for theBenchmark
% 1.78/0.60 % (9716)Instruction limit reached!
% 1.78/0.60 % (9716)------------------------------
% 1.78/0.60 % (9716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.60 % (9716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.60 % (9716)Termination reason: Unknown
% 1.78/0.60 % (9716)Termination phase: Saturation
% 1.78/0.60
% 1.78/0.60 % (9716)Memory used [KB]: 6396
% 1.78/0.60 % (9716)Time elapsed: 0.200 s
% 1.78/0.60 % (9716)Instructions burned: 52 (million)
% 1.78/0.60 % (9716)------------------------------
% 1.78/0.60 % (9716)------------------------------
% 1.78/0.61 Finite Model Found!
% 1.78/0.61 % SZS status Satisfiable for theBenchmark
% 1.78/0.61 % (9718)First to succeed.
% 1.78/0.61 % (9717)Instruction limit reached!
% 1.78/0.61 % (9717)------------------------------
% 1.78/0.61 % (9717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61 % (9717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61 % (9717)Termination reason: Unknown
% 1.78/0.61 % (9717)Termination phase: Saturation
% 1.78/0.61
% 1.78/0.61 % (9717)Memory used [KB]: 6140
% 1.78/0.61 % (9717)Time elapsed: 0.203 s
% 1.78/0.61 % (9717)Instructions burned: 48 (million)
% 1.78/0.61 % (9717)------------------------------
% 1.78/0.61 % (9717)------------------------------
% 1.78/0.61 % SZS output start FiniteModel for theBenchmark
% 1.78/0.61 tff(declare_$i,type,$i:$tType).
% 1.78/0.61 tff(declare_$i1,type,empty_set:$i).
% 1.78/0.61 tff(declare_$i2,type,cx:$i).
% 1.78/0.61 tff(finite_domain,axiom,
% 1.78/0.61 ! [X:$i] : (
% 1.78/0.61 X = empty_set | X = cx
% 1.78/0.61 ) ).
% 1.78/0.61
% 1.78/0.61 tff(distinct_domain,axiom,
% 1.78/0.61 empty_set != cx
% 1.78/0.61 ).
% 1.78/0.61
% 1.78/0.61 tff(declare_bool,type,$o:$tType).
% 1.78/0.61 tff(declare_bool1,type,fmb_bool_1:$o).
% 1.78/0.61 tff(finite_domain,axiom,
% 1.78/0.61 ! [X:$o] : (
% 1.78/0.61 X = fmb_bool_1
% 1.78/0.61 ) ).
% 1.78/0.61
% 1.78/0.61 tff(declare_ct,type,ct:$i).
% 1.78/0.61 tff(ct_definition,axiom,ct = empty_set).
% 1.78/0.61 tff(declare_a,type,a:$i).
% 1.78/0.61 tff(a_definition,axiom,a = empty_set).
% 1.78/0.61 tff(declare_union_of_members,type,union_of_members: $i > $i).
% 1.78/0.61 tff(function_union_of_members,axiom,
% 1.78/0.61 union_of_members(empty_set) = empty_set
% 1.78/0.61 & union_of_members(cx) = empty_set
% 1.78/0.61
% 1.78/0.61 ).
% 1.78/0.61
% 1.78/0.61 tff(declare_f1,type,f1: $i * $i > $i).
% 1.78/0.61 tff(function_f1,axiom,
% 1.78/0.61 f1(empty_set,empty_set) = empty_set
% 1.78/0.61 & f1(empty_set,cx) = empty_set
% 1.78/0.61 & f1(cx,empty_set) = empty_set
% 1.78/0.61 & f1(cx,cx) = empty_set
% 1.78/0.61
% 1.78/0.61 ).
% 1.78/0.61
% 1.78/0.61 tff(declare_intersection_of_members,type,intersection_of_members: $i > $i).
% 1.78/0.61 tff(function_intersection_of_members,axiom,
% 1.78/0.61 intersection_of_members(empty_set) = cx
% 1.78/0.61 & intersection_of_members(cx) = cx
% 1.78/0.61
% 1.78/0.61 ).
% 1.78/0.61
% 1.78/0.61 tff(declare_f2,type,f2: $i * $i > $i).
% 1.78/0.61 tff(function_f2,axiom,
% 1.78/0.61 f2(empty_set,empty_set) = cx
% 1.78/0.61 & f2(empty_set,cx) = cx
% 1.78/0.61 & f2(cx,empty_set) = cx
% 1.78/0.61 & f2(cx,cx) = cx
% 1.78/0.61
% 1.78/0.61 ).
% 1.78/0.61
% 1.78/0.61 tff(declare_intersection_of_sets,type,intersection_of_sets: $i * $i > $i).
% 1.78/0.61 tff(function_intersection_of_sets,axiom,
% 1.78/0.61 intersection_of_sets(empty_set,empty_set) = empty_set
% 1.78/0.61 & intersection_of_sets(empty_set,cx) = cx
% 1.78/0.61 & intersection_of_sets(cx,empty_set) = empty_set
% 1.78/0.61 & intersection_of_sets(cx,cx) = cx
% 1.78/0.61
% 1.78/0.61 ).
% 1.78/0.61
% 1.78/0.61 tff(declare_f3,type,f3: $i * $i > $i).
% 1.78/0.61 tff(function_f3,axiom,
% 1.78/0.61 f3(empty_set,empty_set) = empty_set
% 1.78/0.61 & f3(empty_set,cx) = cx
% 1.78/0.61 & f3(cx,empty_set) = cx
% 1.78/0.61 & f3(cx,cx) = cx
% 1.78/0.61
% 1.78/0.61 ).
% 1.78/0.61
% 1.78/0.61 tff(declare_f5,type,f5: $i * $i > $i).
% 1.78/0.61 tff(function_f5,axiom,
% 1.78/0.61 f5(empty_set,empty_set) = empty_set
% 1.78/0.61 & f5(empty_set,cx) = empty_set
% 1.78/0.61 & f5(cx,empty_set) = cx
% 1.78/0.61 & f5(cx,cx) = empty_set
% 1.78/0.61
% 1.78/0.61 ).
% 1.78/0.61
% 1.78/0.61 tff(declare_f4,type,f4: $i * $i > $i).
% 1.78/0.61 tff(function_f4,axiom,
% 1.78/0.61 f4(empty_set,empty_set) = empty_set
% 1.78/0.61 & f4(empty_set,cx) = cx
% 1.78/0.61 & f4(cx,empty_set) = empty_set
% 1.78/0.61 & f4(cx,cx) = empty_set
% 1.78/0.61
% 1.78/0.61 ).
% 1.78/0.61
% 1.78/0.61 tff(declare_relative_complement_sets,type,relative_complement_sets: $i * $i > $i).
% 1.78/0.61 tff(function_relative_complement_sets,axiom,
% 1.78/0.61 relative_complement_sets(empty_set,empty_set) = cx
% 1.78/0.61 & relative_complement_sets(empty_set,cx) = empty_set
% 1.78/0.61 & relative_complement_sets(cx,empty_set) = cx
% 1.78/0.61 & relative_complement_sets(cx,cx) = cx
% 1.78/0.61
% 1.78/0.61 ).
% 1.78/0.61
% 1.78/0.61 tff(declare_f6,type,f6: $i * $i * $i * $i * $i > $i).
% 1.78/0.61 tff(function_f6,axiom,
% 1.78/0.61 f6(empty_set,empty_set,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.61 & f6(empty_set,empty_set,empty_set,empty_set,cx) = empty_set
% 1.78/0.61 & f6(empty_set,empty_set,empty_set,cx,empty_set) = empty_set
% 1.78/0.61 & f6(empty_set,empty_set,empty_set,cx,cx) = cx
% 1.78/0.62 & f6(empty_set,empty_set,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f6(empty_set,empty_set,cx,empty_set,cx) = empty_set
% 1.78/0.62 & f6(empty_set,empty_set,cx,cx,empty_set) = empty_set
% 1.78/0.62 & f6(empty_set,empty_set,cx,cx,cx) = cx
% 1.78/0.62 & f6(empty_set,cx,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f6(empty_set,cx,empty_set,empty_set,cx) = empty_set
% 1.78/0.62 & f6(empty_set,cx,empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & f6(empty_set,cx,empty_set,cx,cx) = cx
% 1.78/0.62 & f6(empty_set,cx,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f6(empty_set,cx,cx,empty_set,cx) = empty_set
% 1.78/0.62 & f6(empty_set,cx,cx,cx,empty_set) = empty_set
% 1.78/0.62 & f6(empty_set,cx,cx,cx,cx) = cx
% 1.78/0.62 & f6(cx,empty_set,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f6(cx,empty_set,empty_set,empty_set,cx) = cx
% 1.78/0.62 & f6(cx,empty_set,empty_set,cx,empty_set) = cx
% 1.78/0.62 & f6(cx,empty_set,empty_set,cx,cx) = cx
% 1.78/0.62 & f6(cx,empty_set,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f6(cx,empty_set,cx,empty_set,cx) = cx
% 1.78/0.62 & f6(cx,empty_set,cx,cx,empty_set) = cx
% 1.78/0.62 & f6(cx,empty_set,cx,cx,cx) = cx
% 1.78/0.62 & f6(cx,cx,empty_set,empty_set,empty_set) = cx
% 1.78/0.62 & f6(cx,cx,empty_set,empty_set,cx) = cx
% 1.78/0.62 & f6(cx,cx,empty_set,cx,empty_set) = cx
% 1.78/0.62 & f6(cx,cx,empty_set,cx,cx) = cx
% 1.78/0.62 & f6(cx,cx,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f6(cx,cx,cx,empty_set,cx) = cx
% 1.78/0.62 & f6(cx,cx,cx,cx,empty_set) = cx
% 1.78/0.62 & f6(cx,cx,cx,cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f7,type,f7: $i * $i > $i).
% 1.78/0.62 tff(function_f7,axiom,
% 1.78/0.62 f7(empty_set,empty_set) = empty_set
% 1.78/0.62 & f7(empty_set,cx) = cx
% 1.78/0.62 & f7(cx,empty_set) = empty_set
% 1.78/0.62 & f7(cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f8,type,f8: $i * $i > $i).
% 1.78/0.62 tff(function_f8,axiom,
% 1.78/0.62 f8(empty_set,empty_set) = empty_set
% 1.78/0.62 & f8(empty_set,cx) = empty_set
% 1.78/0.62 & f8(cx,empty_set) = empty_set
% 1.78/0.62 & f8(cx,cx) = empty_set
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f9,type,f9: $i * $i > $i).
% 1.78/0.62 tff(function_f9,axiom,
% 1.78/0.62 f9(empty_set,empty_set) = empty_set
% 1.78/0.62 & f9(empty_set,cx) = cx
% 1.78/0.62 & f9(cx,empty_set) = cx
% 1.78/0.62 & f9(cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_top_of_basis,type,top_of_basis: $i > $i).
% 1.78/0.62 tff(function_top_of_basis,axiom,
% 1.78/0.62 top_of_basis(empty_set) = empty_set
% 1.78/0.62 & top_of_basis(cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f10,type,f10: $i * $i * $i > $i).
% 1.78/0.62 tff(function_f10,axiom,
% 1.78/0.62 f10(empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f10(empty_set,empty_set,cx) = empty_set
% 1.78/0.62 & f10(empty_set,cx,empty_set) = cx
% 1.78/0.62 & f10(empty_set,cx,cx) = cx
% 1.78/0.62 & f10(cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f10(cx,empty_set,cx) = empty_set
% 1.78/0.62 & f10(cx,cx,empty_set) = cx
% 1.78/0.62 & f10(cx,cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f11,type,f11: $i * $i > $i).
% 1.78/0.62 tff(function_f11,axiom,
% 1.78/0.62 f11(empty_set,empty_set) = empty_set
% 1.78/0.62 & f11(empty_set,cx) = empty_set
% 1.78/0.62 & f11(cx,empty_set) = empty_set
% 1.78/0.62 & f11(cx,cx) = empty_set
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_subspace_topology,type,subspace_topology: $i * $i * $i > $i).
% 1.78/0.62 tff(function_subspace_topology,axiom,
% 1.78/0.62 subspace_topology(empty_set,empty_set,empty_set) = cx
% 1.78/0.62 & subspace_topology(empty_set,empty_set,cx) = cx
% 1.78/0.62 & subspace_topology(empty_set,cx,empty_set) = cx
% 1.78/0.62 & subspace_topology(empty_set,cx,cx) = cx
% 1.78/0.62 & subspace_topology(cx,empty_set,empty_set) = cx
% 1.78/0.62 & subspace_topology(cx,empty_set,cx) = cx
% 1.78/0.62 & subspace_topology(cx,cx,empty_set) = cx
% 1.78/0.62 & subspace_topology(cx,cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f12,type,f12: $i * $i * $i * $i > $i).
% 1.78/0.62 tff(function_f12,axiom,
% 1.78/0.62 f12(empty_set,empty_set,empty_set,empty_set) = cx
% 1.78/0.62 & f12(empty_set,empty_set,empty_set,cx) = cx
% 1.78/0.62 & f12(empty_set,empty_set,cx,empty_set) = cx
% 1.78/0.62 & f12(empty_set,empty_set,cx,cx) = cx
% 1.78/0.62 & f12(empty_set,cx,empty_set,empty_set) = cx
% 1.78/0.62 & f12(empty_set,cx,empty_set,cx) = cx
% 1.78/0.62 & f12(empty_set,cx,cx,empty_set) = cx
% 1.78/0.62 & f12(empty_set,cx,cx,cx) = cx
% 1.78/0.62 & f12(cx,empty_set,empty_set,empty_set) = cx
% 1.78/0.62 & f12(cx,empty_set,empty_set,cx) = cx
% 1.78/0.62 & f12(cx,empty_set,cx,empty_set) = cx
% 1.78/0.62 & f12(cx,empty_set,cx,cx) = cx
% 1.78/0.62 & f12(cx,cx,empty_set,empty_set) = cx
% 1.78/0.62 & f12(cx,cx,empty_set,cx) = cx
% 1.78/0.62 & f12(cx,cx,cx,empty_set) = cx
% 1.78/0.62 & f12(cx,cx,cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_interior,type,interior: $i * $i * $i > $i).
% 1.78/0.62 tff(function_interior,axiom,
% 1.78/0.62 interior(empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & interior(empty_set,empty_set,cx) = empty_set
% 1.78/0.62 & interior(empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & interior(empty_set,cx,cx) = empty_set
% 1.78/0.62 & interior(cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & interior(cx,empty_set,cx) = empty_set
% 1.78/0.62 & interior(cx,cx,empty_set) = empty_set
% 1.78/0.62 & interior(cx,cx,cx) = empty_set
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f13,type,f13: $i * $i * $i * $i > $i).
% 1.78/0.62 tff(function_f13,axiom,
% 1.78/0.62 f13(empty_set,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f13(empty_set,empty_set,empty_set,cx) = empty_set
% 1.78/0.62 & f13(empty_set,empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & f13(empty_set,empty_set,cx,cx) = empty_set
% 1.78/0.62 & f13(empty_set,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f13(empty_set,cx,empty_set,cx) = empty_set
% 1.78/0.62 & f13(empty_set,cx,cx,empty_set) = empty_set
% 1.78/0.62 & f13(empty_set,cx,cx,cx) = empty_set
% 1.78/0.62 & f13(cx,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f13(cx,empty_set,empty_set,cx) = empty_set
% 1.78/0.62 & f13(cx,empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & f13(cx,empty_set,cx,cx) = empty_set
% 1.78/0.62 & f13(cx,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f13(cx,cx,empty_set,cx) = empty_set
% 1.78/0.62 & f13(cx,cx,cx,empty_set) = empty_set
% 1.78/0.62 & f13(cx,cx,cx,cx) = empty_set
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_closure,type,closure: $i * $i * $i > $i).
% 1.78/0.62 tff(function_closure,axiom,
% 1.78/0.62 closure(empty_set,empty_set,empty_set) = cx
% 1.78/0.62 & closure(empty_set,empty_set,cx) = cx
% 1.78/0.62 & closure(empty_set,cx,empty_set) = cx
% 1.78/0.62 & closure(empty_set,cx,cx) = cx
% 1.78/0.62 & closure(cx,empty_set,empty_set) = cx
% 1.78/0.62 & closure(cx,empty_set,cx) = cx
% 1.78/0.62 & closure(cx,cx,empty_set) = cx
% 1.78/0.62 & closure(cx,cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f14,type,f14: $i * $i * $i * $i > $i).
% 1.78/0.62 tff(function_f14,axiom,
% 1.78/0.62 f14(empty_set,empty_set,empty_set,empty_set) = cx
% 1.78/0.62 & f14(empty_set,empty_set,empty_set,cx) = cx
% 1.78/0.62 & f14(empty_set,empty_set,cx,empty_set) = cx
% 1.78/0.62 & f14(empty_set,empty_set,cx,cx) = cx
% 1.78/0.62 & f14(empty_set,cx,empty_set,empty_set) = cx
% 1.78/0.62 & f14(empty_set,cx,empty_set,cx) = cx
% 1.78/0.62 & f14(empty_set,cx,cx,empty_set) = cx
% 1.78/0.62 & f14(empty_set,cx,cx,cx) = cx
% 1.78/0.62 & f14(cx,empty_set,empty_set,empty_set) = cx
% 1.78/0.62 & f14(cx,empty_set,empty_set,cx) = cx
% 1.78/0.62 & f14(cx,empty_set,cx,empty_set) = cx
% 1.78/0.62 & f14(cx,empty_set,cx,cx) = cx
% 1.78/0.62 & f14(cx,cx,empty_set,empty_set) = cx
% 1.78/0.62 & f14(cx,cx,empty_set,cx) = cx
% 1.78/0.62 & f14(cx,cx,cx,empty_set) = cx
% 1.78/0.62 & f14(cx,cx,cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f15,type,f15: $i * $i * $i * $i * $i > $i).
% 1.78/0.62 tff(function_f15,axiom,
% 1.78/0.62 f15(empty_set,empty_set,empty_set,empty_set,empty_set) = cx
% 1.78/0.62 & f15(empty_set,empty_set,empty_set,empty_set,cx) = empty_set
% 1.78/0.62 & f15(empty_set,empty_set,empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & f15(empty_set,empty_set,empty_set,cx,cx) = empty_set
% 1.78/0.62 & f15(empty_set,empty_set,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f15(empty_set,empty_set,cx,empty_set,cx) = empty_set
% 1.78/0.62 & f15(empty_set,empty_set,cx,cx,empty_set) = empty_set
% 1.78/0.62 & f15(empty_set,empty_set,cx,cx,cx) = empty_set
% 1.78/0.62 & f15(empty_set,cx,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f15(empty_set,cx,empty_set,empty_set,cx) = empty_set
% 1.78/0.62 & f15(empty_set,cx,empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & f15(empty_set,cx,empty_set,cx,cx) = empty_set
% 1.78/0.62 & f15(empty_set,cx,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f15(empty_set,cx,cx,empty_set,cx) = cx
% 1.78/0.62 & f15(empty_set,cx,cx,cx,empty_set) = empty_set
% 1.78/0.62 & f15(empty_set,cx,cx,cx,cx) = cx
% 1.78/0.62 & f15(cx,empty_set,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f15(cx,empty_set,empty_set,empty_set,cx) = cx
% 1.78/0.62 & f15(cx,empty_set,empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & f15(cx,empty_set,empty_set,cx,cx) = cx
% 1.78/0.62 & f15(cx,empty_set,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f15(cx,empty_set,cx,empty_set,cx) = empty_set
% 1.78/0.62 & f15(cx,empty_set,cx,cx,empty_set) = cx
% 1.78/0.62 & f15(cx,empty_set,cx,cx,cx) = empty_set
% 1.78/0.62 & f15(cx,cx,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f15(cx,cx,empty_set,empty_set,cx) = empty_set
% 1.78/0.62 & f15(cx,cx,empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & f15(cx,cx,empty_set,cx,cx) = empty_set
% 1.78/0.62 & f15(cx,cx,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f15(cx,cx,cx,empty_set,cx) = empty_set
% 1.78/0.62 & f15(cx,cx,cx,cx,empty_set) = empty_set
% 1.78/0.62 & f15(cx,cx,cx,cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f16,type,f16: $i * $i * $i * $i > $i).
% 1.78/0.62 tff(function_f16,axiom,
% 1.78/0.62 f16(empty_set,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f16(empty_set,empty_set,empty_set,cx) = empty_set
% 1.78/0.62 & f16(empty_set,empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & f16(empty_set,empty_set,cx,cx) = empty_set
% 1.78/0.62 & f16(empty_set,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f16(empty_set,cx,empty_set,cx) = empty_set
% 1.78/0.62 & f16(empty_set,cx,cx,empty_set) = empty_set
% 1.78/0.62 & f16(empty_set,cx,cx,cx) = empty_set
% 1.78/0.62 & f16(cx,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f16(cx,empty_set,empty_set,cx) = empty_set
% 1.78/0.62 & f16(cx,empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & f16(cx,empty_set,cx,cx) = empty_set
% 1.78/0.62 & f16(cx,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f16(cx,cx,empty_set,cx) = empty_set
% 1.78/0.62 & f16(cx,cx,cx,empty_set) = empty_set
% 1.78/0.62 & f16(cx,cx,cx,cx) = empty_set
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_boundary,type,boundary: $i * $i * $i > $i).
% 1.78/0.62 tff(function_boundary,axiom,
% 1.78/0.62 boundary(empty_set,empty_set,empty_set) = cx
% 1.78/0.62 & boundary(empty_set,empty_set,cx) = cx
% 1.78/0.62 & boundary(empty_set,cx,empty_set) = cx
% 1.78/0.62 & boundary(empty_set,cx,cx) = cx
% 1.78/0.62 & boundary(cx,empty_set,empty_set) = cx
% 1.78/0.62 & boundary(cx,empty_set,cx) = cx
% 1.78/0.62 & boundary(cx,cx,empty_set) = cx
% 1.78/0.62 & boundary(cx,cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f17,type,f17: $i * $i * $i * $i > $i).
% 1.78/0.62 tff(function_f17,axiom,
% 1.78/0.62 f17(empty_set,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f17(empty_set,empty_set,empty_set,cx) = empty_set
% 1.78/0.62 & f17(empty_set,empty_set,cx,empty_set) = cx
% 1.78/0.62 & f17(empty_set,empty_set,cx,cx) = empty_set
% 1.78/0.62 & f17(empty_set,cx,empty_set,empty_set) = cx
% 1.78/0.62 & f17(empty_set,cx,empty_set,cx) = cx
% 1.78/0.62 & f17(empty_set,cx,cx,empty_set) = cx
% 1.78/0.62 & f17(empty_set,cx,cx,cx) = cx
% 1.78/0.62 & f17(cx,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f17(cx,empty_set,empty_set,cx) = cx
% 1.78/0.62 & f17(cx,empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & f17(cx,empty_set,cx,cx) = cx
% 1.78/0.62 & f17(cx,cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f17(cx,cx,empty_set,cx) = empty_set
% 1.78/0.62 & f17(cx,cx,cx,empty_set) = empty_set
% 1.78/0.62 & f17(cx,cx,cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f18,type,f18: $i * $i * $i * $i > $i).
% 1.78/0.62 tff(function_f18,axiom,
% 1.78/0.62 f18(empty_set,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f18(empty_set,empty_set,empty_set,cx) = cx
% 1.78/0.62 & f18(empty_set,empty_set,cx,empty_set) = cx
% 1.78/0.62 & f18(empty_set,empty_set,cx,cx) = empty_set
% 1.78/0.62 & f18(empty_set,cx,empty_set,empty_set) = cx
% 1.78/0.62 & f18(empty_set,cx,empty_set,cx) = cx
% 1.78/0.62 & f18(empty_set,cx,cx,empty_set) = cx
% 1.78/0.62 & f18(empty_set,cx,cx,cx) = empty_set
% 1.78/0.62 & f18(cx,empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f18(cx,empty_set,empty_set,cx) = cx
% 1.78/0.62 & f18(cx,empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & f18(cx,empty_set,cx,cx) = empty_set
% 1.78/0.62 & f18(cx,cx,empty_set,empty_set) = cx
% 1.78/0.62 & f18(cx,cx,empty_set,cx) = empty_set
% 1.78/0.62 & f18(cx,cx,cx,empty_set) = cx
% 1.78/0.62 & f18(cx,cx,cx,cx) = empty_set
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f19,type,f19: $i * $i > $i).
% 1.78/0.62 tff(function_f19,axiom,
% 1.78/0.62 f19(empty_set,empty_set) = empty_set
% 1.78/0.62 & f19(empty_set,cx) = cx
% 1.78/0.62 & f19(cx,empty_set) = empty_set
% 1.78/0.62 & f19(cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f20,type,f20: $i * $i > $i).
% 1.78/0.62 tff(function_f20,axiom,
% 1.78/0.62 f20(empty_set,empty_set) = cx
% 1.78/0.62 & f20(empty_set,cx) = cx
% 1.78/0.62 & f20(cx,empty_set) = cx
% 1.78/0.62 & f20(cx,cx) = empty_set
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_union_of_sets,type,union_of_sets: $i * $i > $i).
% 1.78/0.62 tff(function_union_of_sets,axiom,
% 1.78/0.62 union_of_sets(empty_set,empty_set) = empty_set
% 1.78/0.62 & union_of_sets(empty_set,cx) = cx
% 1.78/0.62 & union_of_sets(cx,empty_set) = cx
% 1.78/0.62 & union_of_sets(cx,cx) = empty_set
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f21,type,f21: $i * $i > $i).
% 1.78/0.62 tff(function_f21,axiom,
% 1.78/0.62 f21(empty_set,empty_set) = cx
% 1.78/0.62 & f21(empty_set,cx) = cx
% 1.78/0.62 & f21(cx,empty_set) = cx
% 1.78/0.62 & f21(cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f22,type,f22: $i * $i > $i).
% 1.78/0.62 tff(function_f22,axiom,
% 1.78/0.62 f22(empty_set,empty_set) = cx
% 1.78/0.62 & f22(empty_set,cx) = cx
% 1.78/0.62 & f22(cx,empty_set) = cx
% 1.78/0.62 & f22(cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f23,type,f23: $i * $i * $i > $i).
% 1.78/0.62 tff(function_f23,axiom,
% 1.78/0.62 f23(empty_set,empty_set,empty_set) = empty_set
% 1.78/0.62 & f23(empty_set,empty_set,cx) = empty_set
% 1.78/0.62 & f23(empty_set,cx,empty_set) = empty_set
% 1.78/0.62 & f23(empty_set,cx,cx) = cx
% 1.78/0.62 & f23(cx,empty_set,empty_set) = empty_set
% 1.78/0.62 & f23(cx,empty_set,cx) = cx
% 1.78/0.62 & f23(cx,cx,empty_set) = cx
% 1.78/0.62 & f23(cx,cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_f24,type,f24: $i * $i > $i).
% 1.78/0.62 tff(function_f24,axiom,
% 1.78/0.62 f24(empty_set,empty_set) = cx
% 1.78/0.62 & f24(empty_set,cx) = empty_set
% 1.78/0.62 & f24(cx,empty_set) = cx
% 1.78/0.62 & f24(cx,cx) = cx
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_element_of_set,type,element_of_set: $i * $i > $o ).
% 1.78/0.62 tff(predicate_element_of_set,axiom,
% 1.78/0.62 element_of_set(empty_set,empty_set)
% 1.78/0.62 & ~element_of_set(empty_set,cx)
% 1.78/0.62 & element_of_set(cx,empty_set)
% 1.78/0.62 & ~element_of_set(cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_element_of_collection,type,element_of_collection: $i * $i > $o ).
% 1.78/0.62 tff(predicate_element_of_collection,axiom,
% 1.78/0.62 element_of_collection(empty_set,empty_set)
% 1.78/0.62 & element_of_collection(empty_set,cx)
% 1.78/0.62 & element_of_collection(cx,empty_set)
% 1.78/0.62 & element_of_collection(cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_topological_space,type,topological_space: $i * $i > $o ).
% 1.78/0.62 tff(predicate_topological_space,axiom,
% 1.78/0.62 topological_space(empty_set,empty_set)
% 1.78/0.62 & topological_space(empty_set,cx)
% 1.78/0.62 & topological_space(cx,empty_set)
% 1.78/0.62 & topological_space(cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_equal_sets,type,equal_sets: $i * $i > $o ).
% 1.78/0.62 tff(predicate_equal_sets,axiom,
% 1.78/0.62 equal_sets(empty_set,empty_set)
% 1.78/0.62 & equal_sets(empty_set,cx)
% 1.78/0.62 & ~equal_sets(cx,empty_set)
% 1.78/0.62 & equal_sets(cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_subset_collections,type,subset_collections: $i * $i > $o ).
% 1.78/0.62 tff(predicate_subset_collections,axiom,
% 1.78/0.62 subset_collections(empty_set,empty_set)
% 1.78/0.62 & subset_collections(empty_set,cx)
% 1.78/0.62 & subset_collections(cx,empty_set)
% 1.78/0.62 & subset_collections(cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_open,type,open: $i * $i * $i > $o ).
% 1.78/0.62 tff(predicate_open,axiom,
% 1.78/0.62 open(empty_set,empty_set,empty_set)
% 1.78/0.62 & open(empty_set,empty_set,cx)
% 1.78/0.62 & open(empty_set,cx,empty_set)
% 1.78/0.62 & open(empty_set,cx,cx)
% 1.78/0.62 & open(cx,empty_set,empty_set)
% 1.78/0.62 & open(cx,empty_set,cx)
% 1.78/0.62 & open(cx,cx,empty_set)
% 1.78/0.62 & open(cx,cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_closed,type,closed: $i * $i * $i > $o ).
% 1.78/0.62 tff(predicate_closed,axiom,
% 1.78/0.62 closed(empty_set,empty_set,empty_set)
% 1.78/0.62 & closed(empty_set,empty_set,cx)
% 1.78/0.62 & closed(empty_set,cx,empty_set)
% 1.78/0.62 & closed(empty_set,cx,cx)
% 1.78/0.62 & closed(cx,empty_set,empty_set)
% 1.78/0.62 & closed(cx,empty_set,cx)
% 1.78/0.62 & closed(cx,cx,empty_set)
% 1.78/0.62 & closed(cx,cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_finer,type,finer: $i * $i * $i > $o ).
% 1.78/0.62 tff(predicate_finer,axiom,
% 1.78/0.62 finer(empty_set,empty_set,empty_set)
% 1.78/0.62 & finer(empty_set,empty_set,cx)
% 1.78/0.62 & finer(empty_set,cx,empty_set)
% 1.78/0.62 & finer(empty_set,cx,cx)
% 1.78/0.62 & finer(cx,empty_set,empty_set)
% 1.78/0.62 & finer(cx,empty_set,cx)
% 1.78/0.62 & finer(cx,cx,empty_set)
% 1.78/0.62 & finer(cx,cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_basis,type,basis: $i * $i > $o ).
% 1.78/0.62 tff(predicate_basis,axiom,
% 1.78/0.62 basis(empty_set,empty_set)
% 1.78/0.62 & basis(empty_set,cx)
% 1.78/0.62 & basis(cx,empty_set)
% 1.78/0.62 & basis(cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_subset_sets,type,subset_sets: $i * $i > $o ).
% 1.78/0.62 tff(predicate_subset_sets,axiom,
% 1.78/0.62 subset_sets(empty_set,empty_set)
% 1.78/0.62 & subset_sets(empty_set,cx)
% 1.78/0.62 & subset_sets(cx,empty_set)
% 1.78/0.62 & subset_sets(cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_neighborhood,type,neighborhood: $i * $i * $i * $i > $o ).
% 1.78/0.62 tff(predicate_neighborhood,axiom,
% 1.78/0.62 neighborhood(empty_set,empty_set,empty_set,empty_set)
% 1.78/0.62 & neighborhood(empty_set,empty_set,empty_set,cx)
% 1.78/0.62 & neighborhood(empty_set,empty_set,cx,empty_set)
% 1.78/0.62 & neighborhood(empty_set,empty_set,cx,cx)
% 1.78/0.62 & neighborhood(empty_set,cx,empty_set,empty_set)
% 1.78/0.62 & neighborhood(empty_set,cx,empty_set,cx)
% 1.78/0.62 & neighborhood(empty_set,cx,cx,empty_set)
% 1.78/0.62 & neighborhood(empty_set,cx,cx,cx)
% 1.78/0.62 & ~neighborhood(cx,empty_set,empty_set,empty_set)
% 1.78/0.62 & ~neighborhood(cx,empty_set,empty_set,cx)
% 1.78/0.62 & ~neighborhood(cx,empty_set,cx,empty_set)
% 1.78/0.62 & ~neighborhood(cx,empty_set,cx,cx)
% 1.78/0.62 & ~neighborhood(cx,cx,empty_set,empty_set)
% 1.78/0.62 & ~neighborhood(cx,cx,empty_set,cx)
% 1.78/0.62 & ~neighborhood(cx,cx,cx,empty_set)
% 1.78/0.62 & ~neighborhood(cx,cx,cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_limit_point,type,limit_point: $i * $i * $i * $i > $o ).
% 1.78/0.62 tff(predicate_limit_point,axiom,
% 1.78/0.62 ~limit_point(empty_set,empty_set,empty_set,empty_set)
% 1.78/0.62 & ~limit_point(empty_set,empty_set,empty_set,cx)
% 1.78/0.62 & ~limit_point(empty_set,empty_set,cx,empty_set)
% 1.78/0.62 & ~limit_point(empty_set,empty_set,cx,cx)
% 1.78/0.62 & ~limit_point(empty_set,cx,empty_set,empty_set)
% 1.78/0.62 & ~limit_point(empty_set,cx,empty_set,cx)
% 1.78/0.62 & ~limit_point(empty_set,cx,cx,empty_set)
% 1.78/0.62 & ~limit_point(empty_set,cx,cx,cx)
% 1.78/0.62 & ~limit_point(cx,empty_set,empty_set,empty_set)
% 1.78/0.62 & ~limit_point(cx,empty_set,empty_set,cx)
% 1.78/0.62 & ~limit_point(cx,empty_set,cx,empty_set)
% 1.78/0.62 & ~limit_point(cx,empty_set,cx,cx)
% 1.78/0.62 & ~limit_point(cx,cx,empty_set,empty_set)
% 1.78/0.62 & ~limit_point(cx,cx,empty_set,cx)
% 1.78/0.62 & ~limit_point(cx,cx,cx,empty_set)
% 1.78/0.62 & ~limit_point(cx,cx,cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_eq_p,type,eq_p: $i * $i > $o ).
% 1.78/0.62 tff(predicate_eq_p,axiom,
% 1.78/0.62 eq_p(empty_set,empty_set)
% 1.78/0.62 & eq_p(empty_set,cx)
% 1.78/0.62 & eq_p(cx,empty_set)
% 1.78/0.62 & eq_p(cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_hausdorff,type,hausdorff: $i * $i > $o ).
% 1.78/0.62 tff(predicate_hausdorff,axiom,
% 1.78/0.62 hausdorff(empty_set,empty_set)
% 1.78/0.62 & hausdorff(empty_set,cx)
% 1.78/0.62 & hausdorff(cx,empty_set)
% 1.78/0.62 & hausdorff(cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_disjoint_s,type,disjoint_s: $i * $i > $o ).
% 1.78/0.62 tff(predicate_disjoint_s,axiom,
% 1.78/0.62 ~disjoint_s(empty_set,empty_set)
% 1.78/0.62 & ~disjoint_s(empty_set,cx)
% 1.78/0.62 & disjoint_s(cx,empty_set)
% 1.78/0.62 & disjoint_s(cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_separation,type,separation: $i * $i * $i * $i > $o ).
% 1.78/0.62 tff(predicate_separation,axiom,
% 1.78/0.62 ~separation(empty_set,empty_set,empty_set,empty_set)
% 1.78/0.62 & ~separation(empty_set,empty_set,empty_set,cx)
% 1.78/0.62 & ~separation(empty_set,empty_set,cx,empty_set)
% 1.78/0.62 & ~separation(empty_set,empty_set,cx,cx)
% 1.78/0.62 & ~separation(empty_set,cx,empty_set,empty_set)
% 1.78/0.62 & ~separation(empty_set,cx,empty_set,cx)
% 1.78/0.62 & ~separation(empty_set,cx,cx,empty_set)
% 1.78/0.62 & ~separation(empty_set,cx,cx,cx)
% 1.78/0.62 & ~separation(cx,empty_set,empty_set,empty_set)
% 1.78/0.62 & ~separation(cx,empty_set,empty_set,cx)
% 1.78/0.62 & ~separation(cx,empty_set,cx,empty_set)
% 1.78/0.62 & ~separation(cx,empty_set,cx,cx)
% 1.78/0.62 & separation(cx,cx,empty_set,empty_set)
% 1.78/0.62 & separation(cx,cx,empty_set,cx)
% 1.78/0.62 & separation(cx,cx,cx,empty_set)
% 1.78/0.62 & separation(cx,cx,cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_connected_space,type,connected_space: $i * $i > $o ).
% 1.78/0.62 tff(predicate_connected_space,axiom,
% 1.78/0.62 ~connected_space(empty_set,empty_set)
% 1.78/0.62 & ~connected_space(empty_set,cx)
% 1.78/0.62 & ~connected_space(cx,empty_set)
% 1.78/0.62 & ~connected_space(cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_connected_set,type,connected_set: $i * $i * $i > $o ).
% 1.78/0.62 tff(predicate_connected_set,axiom,
% 1.78/0.62 ~connected_set(empty_set,empty_set,empty_set)
% 1.78/0.62 & ~connected_set(empty_set,empty_set,cx)
% 1.78/0.62 & ~connected_set(empty_set,cx,empty_set)
% 1.78/0.62 & ~connected_set(empty_set,cx,cx)
% 1.78/0.62 & ~connected_set(cx,empty_set,empty_set)
% 1.78/0.62 & ~connected_set(cx,empty_set,cx)
% 1.78/0.62 & ~connected_set(cx,cx,empty_set)
% 1.78/0.62 & ~connected_set(cx,cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_open_covering,type,open_covering: $i * $i * $i > $o ).
% 1.78/0.62 tff(predicate_open_covering,axiom,
% 1.78/0.62 open_covering(empty_set,empty_set,empty_set)
% 1.78/0.62 & open_covering(empty_set,empty_set,cx)
% 1.78/0.62 & open_covering(empty_set,cx,empty_set)
% 1.78/0.62 & open_covering(empty_set,cx,cx)
% 1.78/0.62 & open_covering(cx,empty_set,empty_set)
% 1.78/0.62 & open_covering(cx,empty_set,cx)
% 1.78/0.62 & open_covering(cx,cx,empty_set)
% 1.78/0.62 & open_covering(cx,cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_compact_space,type,compact_space: $i * $i > $o ).
% 1.78/0.62 tff(predicate_compact_space,axiom,
% 1.78/0.62 ~compact_space(empty_set,empty_set)
% 1.78/0.62 & ~compact_space(empty_set,cx)
% 1.78/0.62 & ~compact_space(cx,empty_set)
% 1.78/0.62 & ~compact_space(cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_finite,type,finite: $i > $o ).
% 1.78/0.62 tff(predicate_finite,axiom,
% 1.78/0.62 ~finite(empty_set)
% 1.78/0.62 & ~finite(cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 tff(declare_compact_set,type,compact_set: $i * $i * $i > $o ).
% 1.78/0.62 tff(predicate_compact_set,axiom,
% 1.78/0.62 ~compact_set(empty_set,empty_set,empty_set)
% 1.78/0.62 & ~compact_set(empty_set,empty_set,cx)
% 1.78/0.62 & ~compact_set(empty_set,cx,empty_set)
% 1.78/0.62 & ~compact_set(empty_set,cx,cx)
% 1.78/0.62 & ~compact_set(cx,empty_set,empty_set)
% 1.78/0.62 & ~compact_set(cx,empty_set,cx)
% 1.78/0.62 & ~compact_set(cx,cx,empty_set)
% 1.78/0.62 & ~compact_set(cx,cx,cx)
% 1.78/0.62
% 1.78/0.62 ).
% 1.78/0.62
% 1.78/0.62 % SZS output end FiniteModel for theBenchmark
% 1.78/0.62 % (9718)------------------------------
% 1.78/0.62 % (9718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.62 % (9718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.62 % (9718)Termination reason: Satisfiable
% 1.78/0.62
% 1.78/0.62 % (9718)Memory used [KB]: 7291
% 1.78/0.62 % (9718)Time elapsed: 0.147 s
% 1.78/0.62 % (9718)Instructions burned: 47 (million)
% 1.78/0.62 % (9718)------------------------------
% 1.78/0.62 % (9718)------------------------------
% 1.78/0.62 % (9711)Success in time 0.269 s
%------------------------------------------------------------------------------