TSTP Solution File: SEU372+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU372+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 : 600s
% DateTime : Tue Jul 19 14:36:43 EDT 2022
% Result : Theorem 163.57s 163.78s
% Output : Refutation 170.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU372+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 19 06:36:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 163.57/163.78
% 163.57/163.78 SPASS V 3.9
% 163.57/163.78 SPASS beiseite: Proof found.
% 163.57/163.78 % SZS status Theorem
% 163.57/163.78 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 163.57/163.78 SPASS derived 92477 clauses, backtracked 10860 clauses, performed 86 splits and kept 46132 clauses.
% 163.57/163.78 SPASS allocated 181565 KBytes.
% 163.57/163.78 SPASS spent 0:2:43.28 on the problem.
% 163.57/163.78 0:00:00.04 for the input.
% 163.57/163.78 0:00:00.04 for the FLOTTER CNF translation.
% 163.57/163.78 0:00:02.58 for inferences.
% 163.57/163.78 0:0:19.86 for the backtracking.
% 163.57/163.78 0:2:17.62 for the reduction.
% 163.57/163.78
% 163.57/163.78
% 163.57/163.78 Here is a proof with depth 7, length 147 :
% 163.57/163.78 % SZS output start Refutation
% 163.57/163.78 1[0:Inp] || -> topological_space(skc15)*.
% 163.57/163.78 2[0:Inp] || -> top_str(skc15)*.
% 163.57/163.78 30[0:Inp] || empty_carrier(skc15)* -> .
% 163.57/163.78 35[0:Inp] || -> element(skc17,the_carrier(skc15))*.
% 163.57/163.78 38[0:Inp] || -> element(skc16,powerset(the_carrier(skc15)))*.
% 163.57/163.78 41[0:Inp] top_str(u) || -> one_sorted_str(u)*.
% 163.57/163.78 47[0:Inp] || disjoint(u,v)*+ -> disjoint(v,u)*.
% 163.57/163.78 49[0:Inp] empty(u) || in(v,u)* -> .
% 163.57/163.78 51[0:Inp] || -> element(skf8(u,v,w),powerset(the_carrier(w)))*.
% 163.57/163.78 52[0:Inp] || element(u,powerset(v))* -> subset(u,v).
% 163.57/163.78 53[0:Inp] || subset(u,v) -> element(u,powerset(v))*.
% 163.57/163.78 54[0:Inp] || in(skc17,topstr_closure(skc15,skc16))* -> disjoint(skc18,skc16).
% 163.57/163.78 55[0:Inp] one_sorted_str(u) || empty(the_carrier(u))* -> empty_carrier(u).
% 163.57/163.78 57[0:Inp] || element(u,v)* -> empty(v) in(u,v).
% 163.57/163.78 59[0:Inp] || in(skc17,topstr_closure(skc15,skc16))* -> point_neighbourhood(skc18,skc15,skc17).
% 163.57/163.78 60[0:Inp] || -> open_subset(skf8(u,v,w),w)* SkP0(u,v,w).
% 163.57/163.78 61[0:Inp] || -> in(u,skf8(v,u,w))* SkP0(v,u,w).
% 163.57/163.78 62[0:Inp] || -> disjoint(u,skf8(u,v,w))* SkP0(u,v,w).
% 163.57/163.78 64[0:Inp] || disjoint(u,v)*+ subset(w,u)* -> disjoint(w,v)*.
% 163.57/163.78 65[0:Inp] || in(u,v)* element(v,powerset(w))*+ -> element(u,w)*.
% 163.57/163.78 67[0:Inp] || disjoint(u,skc16) point_neighbourhood(u,skc15,skc17)*+ -> in(skc17,topstr_closure(skc15,skc16))*.
% 163.57/163.78 68[0:Inp] top_str(u) || element(v,powerset(the_carrier(u))) -> subset(interior(u,v),v)*.
% 163.57/163.78 70[0:Inp] top_str(u) || element(v,powerset(the_carrier(u))) -> element(interior(u,v),powerset(the_carrier(u)))*.
% 163.57/163.78 71[0:Inp] top_str(u) || element(v,powerset(the_carrier(u))) -> element(topstr_closure(u,v),powerset(the_carrier(u)))*.
% 163.57/163.78 72[0:Inp] top_str(u) topological_space(u) || element(v,powerset(the_carrier(u))) -> open_subset(interior(u,v),u)*.
% 163.57/163.78 74[0:Inp] topological_space(u) top_str(u) || element(v,the_carrier(u))+ point_neighbourhood(w,u,v)* -> empty_carrier(u) element(w,powerset(the_carrier(u)))*.
% 163.57/163.78 75[0:Inp] || disjoint(u,v)* in(w,v)* open_subset(v,x) element(v,powerset(the_carrier(x)))*+ SkP0(u,w,x)* -> .
% 163.57/163.78 76[0:Inp] top_str(u) || element(v,powerset(the_carrier(u))) element(w,powerset(the_carrier(u))) -> equal(v,topstr_closure(u,w)) in(skf7(w,v,u),the_carrier(u))*.
% 163.57/163.78 78[0:Inp] topological_space(u) top_str(u) || point_neighbourhood(v,u,w) element(w,the_carrier(u)) element(v,powerset(the_carrier(u)))* -> in(w,interior(u,v))* empty_carrier(u).
% 163.57/163.78 79[0:Inp] topological_space(u) top_str(u) || element(v,powerset(the_carrier(u)))* element(w,the_carrier(u)) in(w,v) open_subset(v,u) -> empty_carrier(u) point_neighbourhood(v,u,w)*.
% 163.57/163.78 81[0:Inp] top_str(u) || in(v,the_carrier(u)) element(w,powerset(the_carrier(u)))*+ element(x,powerset(the_carrier(u)))* equal(w,topstr_closure(u,x))* SkP0(x,v,u)* -> in(v,w)*.
% 163.57/163.78 82[0:Inp] top_str(u) || in(v,w)* in(v,the_carrier(u)) element(w,powerset(the_carrier(u)))*+ element(x,powerset(the_carrier(u)))* equal(w,topstr_closure(u,x))* -> SkP0(x,v,u)*.
% 163.57/163.78 84[0:MRR:78.4,74.4] top_str(u) topological_space(u) || element(v,the_carrier(u)) point_neighbourhood(w,u,v) -> empty_carrier(u) in(v,interior(u,w))*.
% 163.57/163.78 85[0:MRR:79.3,65.2] top_str(u) topological_space(u) || open_subset(v,u) in(w,v) element(v,powerset(the_carrier(u)))*+ -> empty_carrier(u) point_neighbourhood(v,u,w)*.
% 163.57/163.78 86[0:Res:2.0,82.0] || in(u,v)* in(u,the_carrier(skc15)) element(v,powerset(the_carrier(skc15)))*+ element(w,powerset(the_carrier(skc15)))* equal(v,topstr_closure(skc15,w))* -> SkP0(w,u,skc15)*.
% 163.57/163.78 95[0:Res:2.0,72.1] topological_space(skc15) || element(u,powerset(the_carrier(skc15))) -> open_subset(interior(skc15,u),skc15)*.
% 163.57/163.78 96[0:Res:2.0,70.0] || element(u,powerset(the_carrier(skc15))) -> element(interior(skc15,u),powerset(the_carrier(skc15)))*.
% 163.57/163.78 97[0:Res:2.0,71.0] || element(u,powerset(the_carrier(skc15))) -> element(topstr_closure(skc15,u),powerset(the_carrier(skc15)))*.
% 163.57/163.78 98[0:Res:2.0,68.0] || element(u,powerset(the_carrier(skc15))) -> subset(interior(skc15,u),u)*.
% 163.57/163.78 99[0:Res:2.0,41.0] || -> one_sorted_str(skc15)*.
% 163.57/163.78 100[0:Res:1.0,85.0] top_str(skc15) || element(u,powerset(the_carrier(skc15)))* in(v,u) open_subset(u,skc15) -> empty_carrier(skc15) point_neighbourhood(u,skc15,v)*.
% 163.57/163.78 111[0:Res:55.2,30.0] one_sorted_str(skc15) || empty(the_carrier(skc15))* -> .
% 163.57/163.78 114[0:Res:35.0,74.2] top_str(skc15) topological_space(skc15) || point_neighbourhood(u,skc15,skc17) -> element(u,powerset(the_carrier(skc15)))* empty_carrier(skc15).
% 163.57/163.78 116[0:Res:35.0,84.3] topological_space(skc15) top_str(skc15) || point_neighbourhood(u,skc15,skc17) -> in(skc17,interior(skc15,u))* empty_carrier(skc15).
% 163.57/163.78 117[0:Res:35.0,57.0] || -> in(skc17,the_carrier(skc15))* empty(the_carrier(skc15)).
% 163.57/163.78 119[0:Res:38.0,82.5] top_str(skc15) || equal(topstr_closure(skc15,u),skc16) in(v,the_carrier(skc15)) in(v,skc16) element(u,powerset(the_carrier(skc15)))* -> SkP0(u,v,skc15)*.
% 163.57/163.78 120[0:Res:38.0,81.5] top_str(skc15) || equal(topstr_closure(skc15,u),skc16) in(v,the_carrier(skc15)) SkP0(u,v,skc15)* element(u,powerset(the_carrier(skc15)))* -> in(v,skc16).
% 163.57/163.78 123[0:Res:38.0,76.1] top_str(skc15) || element(u,powerset(the_carrier(skc15))) -> in(skf7(skc16,u,skc15),the_carrier(skc15))* equal(u,topstr_closure(skc15,skc16)).
% 163.57/163.78 134[0:Res:38.0,52.0] || -> subset(skc16,the_carrier(skc15))*.
% 163.57/163.78 135[0:Res:38.0,65.1] || in(u,skc16) -> element(u,the_carrier(skc15))*.
% 163.57/163.78 137[0:MRR:111.0,99.0] || empty(the_carrier(skc15))* -> .
% 163.57/163.78 139[0:MRR:117.1,137.0] || -> in(skc17,the_carrier(skc15))*.
% 163.57/163.78 145[0:MRR:95.0,1.0] || element(u,powerset(the_carrier(skc15))) -> open_subset(interior(skc15,u),skc15)*.
% 163.57/163.78 148[0:MRR:114.0,114.1,114.4,2.0,1.0,30.0] || point_neighbourhood(u,skc15,skc17) -> element(u,powerset(the_carrier(skc15)))*.
% 163.57/163.78 149[0:MRR:116.0,116.1,116.4,1.0,2.0,30.0] || point_neighbourhood(u,skc15,skc17) -> in(skc17,interior(skc15,u))*.
% 163.57/163.78 154[0:MRR:123.0,2.0] || element(u,powerset(the_carrier(skc15))) -> equal(u,topstr_closure(skc15,skc16)) in(skf7(skc16,u,skc15),the_carrier(skc15))*.
% 163.57/163.78 156[0:MRR:100.0,100.4,2.0,30.0] || in(u,v) open_subset(v,skc15) element(v,powerset(the_carrier(skc15)))*+ -> point_neighbourhood(v,skc15,u)*.
% 163.57/163.78 163[0:MRR:120.0,2.0] || in(u,the_carrier(skc15)) element(v,powerset(the_carrier(skc15)))*+ equal(topstr_closure(skc15,v),skc16) SkP0(v,u,skc15)* -> in(u,skc16).
% 163.57/163.78 164[0:MRR:119.0,2.0] || in(u,skc16) in(u,the_carrier(skc15)) element(v,powerset(the_carrier(skc15)))* equal(topstr_closure(skc15,v),skc16) -> SkP0(v,u,skc15)*.
% 163.57/163.78 187[0:Res:38.0,154.0] || -> equal(topstr_closure(skc15,skc16),skc16) in(skf7(skc16,skc16,skc15),the_carrier(skc15))*.
% 163.57/163.78 194[1:Spt:187.0] || -> equal(topstr_closure(skc15,skc16),skc16)**.
% 163.57/163.78 195[1:Rew:194.0,67.2] || disjoint(u,skc16) point_neighbourhood(u,skc15,skc17)* -> in(skc17,skc16).
% 163.57/163.78 197[1:Rew:194.0,59.0] || in(skc17,skc16) -> point_neighbourhood(skc18,skc15,skc17)*.
% 163.57/163.78 198[1:Rew:194.0,54.0] || in(skc17,skc16) -> disjoint(skc18,skc16)*.
% 163.57/163.78 223[2:Spt:198.0] || in(skc17,skc16)* -> .
% 163.57/163.78 225[2:MRR:195.2,223.0] || disjoint(u,skc16) point_neighbourhood(u,skc15,skc17)* -> .
% 163.57/163.78 226[0:Res:139.0,49.1] empty(the_carrier(skc15)) || -> .
% 163.57/163.78 251[0:Res:135.1,57.0] || in(u,skc16) -> empty(the_carrier(skc15)) in(u,the_carrier(skc15))*.
% 163.57/163.78 257[0:MRR:251.1,226.0] || in(u,skc16) -> in(u,the_carrier(skc15))*.
% 163.57/163.78 258[0:MRR:164.1,257.1] || in(u,skc16) element(v,powerset(the_carrier(skc15)))*+ equal(topstr_closure(skc15,v),skc16) -> SkP0(v,u,skc15)*.
% 163.57/163.78 274[0:Res:62.0,47.0] || -> SkP0(u,v,w) disjoint(skf8(u,v,w),u)*.
% 163.57/163.78 436[0:Res:135.1,74.2] topological_space(skc15) top_str(skc15) || in(u,skc16) point_neighbourhood(v,skc15,u)* -> empty_carrier(skc15) element(v,powerset(the_carrier(skc15)))*.
% 163.57/163.78 438[0:SSi:436.1,436.0,1.0,2.0,99.0,1.0,2.0,99.0] || in(u,skc16) point_neighbourhood(v,skc15,u)* -> empty_carrier(skc15) element(v,powerset(the_carrier(skc15)))*.
% 163.57/163.78 439[0:MRR:438.2,30.0] || in(u,skc16) point_neighbourhood(v,skc15,u)*+ -> element(v,powerset(the_carrier(skc15)))*.
% 163.57/163.78 547[0:Res:51.0,85.4] top_str(u) topological_space(u) || open_subset(skf8(v,w,u),u) in(x,skf8(v,w,u)) -> empty_carrier(u) point_neighbourhood(skf8(v,w,u),u,x)*.
% 170.70/170.86 673[0:Res:71.2,81.2] top_str(u) top_str(u) || element(v,powerset(the_carrier(u)))* in(w,the_carrier(u)) element(x,powerset(the_carrier(u)))* equal(topstr_closure(u,v),topstr_closure(u,x))* SkP0(x,w,u)* -> in(w,topstr_closure(u,v))*.
% 170.70/170.86 684[0:Obv:673.0] top_str(u) || element(v,powerset(the_carrier(u)))* in(w,the_carrier(u)) element(x,powerset(the_carrier(u)))* equal(topstr_closure(u,v),topstr_closure(u,x))*+ SkP0(x,w,u)* -> in(w,topstr_closure(u,v))*.
% 170.70/170.86 948[0:Res:96.1,75.3] || element(u,powerset(the_carrier(skc15))) disjoint(v,interior(skc15,u))* in(w,interior(skc15,u))* open_subset(interior(skc15,u),skc15) SkP0(v,w,skc15)* -> .
% 170.70/170.86 955[0:MRR:948.3,145.1] || element(u,powerset(the_carrier(skc15)))+ disjoint(v,interior(skc15,u))* in(w,interior(skc15,u))* SkP0(v,w,skc15)* -> .
% 170.70/170.86 1338[0:Res:51.0,156.2] || in(u,skf8(v,w,skc15)) open_subset(skf8(v,w,skc15),skc15) -> point_neighbourhood(skf8(v,w,skc15),skc15,u)*.
% 170.70/170.86 1573[0:Res:53.1,258.1] || subset(u,the_carrier(skc15)) in(v,skc16) equal(topstr_closure(skc15,u),skc16) -> SkP0(u,v,skc15)*.
% 170.70/170.86 3072[0:Res:97.1,86.2] || element(u,powerset(the_carrier(skc15)))* in(v,topstr_closure(skc15,u))* in(v,the_carrier(skc15)) element(w,powerset(the_carrier(skc15)))* equal(topstr_closure(skc15,u),topstr_closure(skc15,w))*+ -> SkP0(w,v,skc15)*.
% 170.70/170.86 4010[0:EqR:684.4] top_str(u) || element(v,powerset(the_carrier(u)))* in(w,the_carrier(u)) element(v,powerset(the_carrier(u)))* SkP0(v,w,u) -> in(w,topstr_closure(u,v))*.
% 170.70/170.86 4013[0:Obv:4010.1] top_str(u) || in(v,the_carrier(u)) element(w,powerset(the_carrier(u)))*+ SkP0(w,v,u) -> in(v,topstr_closure(u,w))*.
% 170.70/170.86 7459[2:Res:547.5,225.1] top_str(skc15) topological_space(skc15) || open_subset(skf8(u,v,skc15),skc15) in(skc17,skf8(u,v,skc15)) disjoint(skf8(u,v,skc15),skc16)* -> empty_carrier(skc15).
% 170.70/170.86 7462[2:SSi:7459.1,7459.0,1.0,2.0,99.0,1.0,2.0,99.0] || open_subset(skf8(u,v,skc15),skc15) in(skc17,skf8(u,v,skc15)) disjoint(skf8(u,v,skc15),skc16)* -> empty_carrier(skc15).
% 170.70/170.86 7463[2:MRR:7462.3,30.0] || open_subset(skf8(u,v,skc15),skc15) in(skc17,skf8(u,v,skc15)) disjoint(skf8(u,v,skc15),skc16)* -> .
% 170.70/170.86 7995[0:Res:53.1,163.1] || subset(u,the_carrier(skc15)) in(v,the_carrier(skc15)) equal(topstr_closure(skc15,u),skc16) SkP0(u,v,skc15)* -> in(v,skc16).
% 170.70/170.86 8836[2:Res:274.1,7463.2] || open_subset(skf8(skc16,u,skc15),skc15)* in(skc17,skf8(skc16,u,skc15)) -> SkP0(skc16,u,skc15).
% 170.70/170.86 8838[2:MRR:8836.0,60.0] || in(skc17,skf8(skc16,u,skc15))* -> SkP0(skc16,u,skc15).
% 170.70/170.86 9833[0:Res:148.1,955.0] || point_neighbourhood(u,skc15,skc17) disjoint(v,interior(skc15,u))*+ in(w,interior(skc15,u))* SkP0(v,w,skc15)* -> .
% 170.70/170.86 10632[0:Res:53.1,4013.2] top_str(u) || subset(v,the_carrier(u)) in(w,the_carrier(u)) SkP0(v,w,u) -> in(w,topstr_closure(u,v))*.
% 170.70/170.86 15023[0:EqR:3072.4] || element(u,powerset(the_carrier(skc15)))* in(v,topstr_closure(skc15,u))* in(v,the_carrier(skc15)) element(u,powerset(the_carrier(skc15)))* -> SkP0(u,v,skc15).
% 170.70/170.86 15030[0:Obv:15023.0] || in(u,topstr_closure(skc15,v))*+ in(u,the_carrier(skc15)) element(v,powerset(the_carrier(skc15)))* -> SkP0(v,u,skc15).
% 170.70/170.86 15080[2:Res:61.0,8838.0] || -> SkP0(skc16,skc17,skc15)* SkP0(skc16,skc17,skc15)*.
% 170.70/170.86 15082[2:Obv:15080.0] || -> SkP0(skc16,skc17,skc15)*.
% 170.70/170.86 15088[2:Res:15082.0,7995.3] || subset(skc16,the_carrier(skc15))* in(skc17,the_carrier(skc15)) equal(topstr_closure(skc15,skc16),skc16) -> in(skc17,skc16).
% 170.70/170.86 15092[2:Rew:194.0,15088.2] || subset(skc16,the_carrier(skc15))* in(skc17,the_carrier(skc15)) equal(skc16,skc16) -> in(skc17,skc16).
% 170.70/170.86 15093[2:Obv:15092.2] || subset(skc16,the_carrier(skc15))* in(skc17,the_carrier(skc15)) -> in(skc17,skc16).
% 170.70/170.86 15094[2:MRR:15093.0,15093.1,15093.2,134.0,139.0,223.0] || -> .
% 170.70/170.86 15095[2:Spt:15094.0,198.0,223.0] || -> in(skc17,skc16)*.
% 170.70/170.86 15096[2:Spt:15094.0,198.1] || -> disjoint(skc18,skc16)*.
% 170.70/170.86 15098[2:MRR:197.0,15095.0] || -> point_neighbourhood(skc18,skc15,skc17)*.
% 170.70/170.86 15152[2:Res:15096.0,64.0] || subset(u,skc18)* -> disjoint(u,skc16).
% 170.70/170.86 15165[2:Res:15098.0,439.1] || in(skc17,skc16) -> element(skc18,powerset(the_carrier(skc15)))*.
% 170.70/170.86 15166[2:MRR:15165.0,15095.0] || -> element(skc18,powerset(the_carrier(skc15)))*.
% 170.70/170.86 15530[2:Res:98.1,15152.0] || element(skc18,powerset(the_carrier(skc15))) -> disjoint(interior(skc15,skc18),skc16)*.
% 170.70/170.86 15531[2:MRR:15530.0,15166.0] || -> disjoint(interior(skc15,skc18),skc16)*.
% 170.70/170.86 16675[2:Res:15531.0,47.0] || -> disjoint(skc16,interior(skc15,skc18))*.
% 170.70/170.86 46113[2:Res:16675.0,9833.1] || point_neighbourhood(skc18,skc15,skc17) in(u,interior(skc15,skc18))* SkP0(skc16,u,skc15) -> .
% 170.70/170.86 58895[2:MRR:46113.0,15098.0] || in(u,interior(skc15,skc18))* SkP0(skc16,u,skc15) -> .
% 170.70/170.86 72494[2:Res:149.1,58895.0] || point_neighbourhood(skc18,skc15,skc17) SkP0(skc16,skc17,skc15)* -> .
% 170.70/170.86 72513[2:MRR:72494.0,15098.0] || SkP0(skc16,skc17,skc15)* -> .
% 170.70/170.86 72559[2:Res:1573.3,72513.0] || subset(skc16,the_carrier(skc15))* in(skc17,skc16) equal(topstr_closure(skc15,skc16),skc16) -> .
% 170.70/170.86 72563[2:Rew:194.0,72559.2] || subset(skc16,the_carrier(skc15))* in(skc17,skc16) equal(skc16,skc16) -> .
% 170.70/170.86 72564[2:Obv:72563.2] || subset(skc16,the_carrier(skc15))* in(skc17,skc16) -> .
% 170.70/170.86 72565[2:MRR:72564.0,72564.1,134.0,15095.0] || -> .
% 170.70/170.86 72566[1:Spt:72565.0,187.0,194.0] || equal(topstr_closure(skc15,skc16),skc16)** -> .
% 170.70/170.86 72567[1:Spt:72565.0,187.1] || -> in(skf7(skc16,skc16,skc15),the_carrier(skc15))*.
% 170.70/170.86 72715[2:Spt:67.0,67.1] || disjoint(u,skc16) point_neighbourhood(u,skc15,skc17)* -> .
% 170.70/170.86 72719[2:Res:1338.2,72715.1] || in(skc17,skf8(u,v,skc15)) open_subset(skf8(u,v,skc15),skc15) disjoint(skf8(u,v,skc15),skc16)* -> .
% 170.70/170.86 72745[3:Spt:54.0] || in(skc17,topstr_closure(skc15,skc16))* -> .
% 170.70/170.86 72747[3:Res:10632.4,72745.0] top_str(skc15) || subset(skc16,the_carrier(skc15)) in(skc17,the_carrier(skc15)) SkP0(skc16,skc17,skc15)* -> .
% 170.70/170.86 72749[3:SSi:72747.0,1.0,2.0,99.0] || subset(skc16,the_carrier(skc15)) in(skc17,the_carrier(skc15)) SkP0(skc16,skc17,skc15)* -> .
% 170.70/170.86 72750[3:MRR:72749.0,72749.1,134.0,139.0] || SkP0(skc16,skc17,skc15)* -> .
% 170.70/170.86 82106[2:Res:274.1,72719.2] || in(skc17,skf8(skc16,u,skc15)) open_subset(skf8(skc16,u,skc15),skc15)* -> SkP0(skc16,u,skc15).
% 170.70/170.86 82108[2:MRR:82106.1,60.0] || in(skc17,skf8(skc16,u,skc15))* -> SkP0(skc16,u,skc15).
% 170.70/170.86 87966[2:Res:61.0,82108.0] || -> SkP0(skc16,skc17,skc15)* SkP0(skc16,skc17,skc15)*.
% 170.70/170.86 87967[2:Obv:87966.0] || -> SkP0(skc16,skc17,skc15)*.
% 170.70/170.86 87968[3:MRR:87967.0,72750.0] || -> .
% 170.70/170.86 87969[3:Spt:87968.0,54.0,72745.0] || -> in(skc17,topstr_closure(skc15,skc16))*.
% 170.70/170.86 87970[3:Spt:87968.0,54.1] || -> disjoint(skc18,skc16)*.
% 170.70/170.86 87972[3:MRR:59.0,87969.0] || -> point_neighbourhood(skc18,skc15,skc17)*.
% 170.70/170.86 88020[3:Res:87972.0,72715.1] || disjoint(skc18,skc16)* -> .
% 170.70/170.86 88031[3:MRR:88020.0,87970.0] || -> .
% 170.70/170.86 88032[2:Spt:88031.0,67.2] || -> in(skc17,topstr_closure(skc15,skc16))*.
% 170.70/170.86 88033[2:MRR:54.0,88032.0] || -> disjoint(skc18,skc16)*.
% 170.70/170.86 88034[2:MRR:59.0,88032.0] || -> point_neighbourhood(skc18,skc15,skc17)*.
% 170.70/170.86 88037[2:Res:88032.0,15030.0] || in(skc17,the_carrier(skc15)) element(skc16,powerset(the_carrier(skc15)))* -> SkP0(skc16,skc17,skc15).
% 170.70/170.86 88042[2:MRR:88037.0,88037.1,139.0,38.0] || -> SkP0(skc16,skc17,skc15)*.
% 170.70/170.86 88043[2:Res:88033.0,64.0] || subset(u,skc18)* -> disjoint(u,skc16).
% 170.70/170.86 88401[2:Res:98.1,88043.0] || element(skc18,powerset(the_carrier(skc15))) -> disjoint(interior(skc15,skc18),skc16)*.
% 170.70/170.86 89050[2:Res:88401.1,47.0] || element(skc18,powerset(the_carrier(skc15))) -> disjoint(skc16,interior(skc15,skc18))*.
% 170.70/170.86 92695[2:Res:89050.1,9833.1] || element(skc18,powerset(the_carrier(skc15)))* point_neighbourhood(skc18,skc15,skc17) in(u,interior(skc15,skc18))* SkP0(skc16,u,skc15) -> .
% 170.70/170.86 92696[2:MRR:92695.0,92695.1,148.1,88034.0] || in(u,interior(skc15,skc18))* SkP0(skc16,u,skc15) -> .
% 170.70/170.86 110158[2:Res:149.1,92696.0] || point_neighbourhood(skc18,skc15,skc17) SkP0(skc16,skc17,skc15)* -> .
% 170.70/170.86 110180[2:MRR:110158.0,110158.1,88034.0,88042.0] || -> .
% 170.70/170.86 % SZS output end Refutation
% 170.70/170.86 Formulae used in the proof : t6_yellow_6 dt_l1_pre_topc symmetry_r1_xboole_0 t7_boole d13_pre_topc antisymmetry_r2_hidden existence_m1_subset_1 t3_subset fc1_struct_0 t2_subset t63_xboole_1 t4_subset t44_tops_1 dt_k1_tops_1 dt_k6_pre_topc t51_tops_1 dt_m1_connsp_2 d1_connsp_2 t5_connsp_2
% 170.70/170.86
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