TSTP Solution File: TOP005-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 : Fri Sep 1 05:53:20 EDT 2023
% Result : Unsatisfiable 266.63s 266.99s
% Output : CNFRefutation 267.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.34 % Computer : n018.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sat Aug 26 23:57:30 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 266.63/266.96 %-------------------------------------------
% 266.63/266.96 % File :CSE---1.6
% 266.63/266.96 % Problem :theBenchmark
% 266.63/266.96 % Transform :cnf
% 266.63/266.96 % Format :tptp:raw
% 266.63/266.96 % Command :java -jar mcs_scs.jar %d %s
% 266.63/266.96
% 266.63/266.96 % Result :Theorem 266.000000s
% 266.63/266.96 % Output :CNFRefutation 266.000000s
% 266.63/266.96 %-------------------------------------------
% 266.63/266.99 %--------------------------------------------------------------------------
% 266.63/266.99 % File : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% 266.63/266.99 % Domain : Topology
% 266.63/266.99 % Problem : Topology generated by a basis forms a topological space, part 5
% 266.63/266.99 % Version : [WM89] axioms : Incomplete > Reduced & Augmented > Incomplete.
% 266.63/266.99 % English :
% 266.63/266.99
% 266.63/266.99 % Refs : [WM89] Wick & McCune (1989), Automated Reasoning about Elemen
% 266.63/266.99 % Source : [WM89]
% 266.63/266.99 % Names : Lemma 1e [WM89]
% 266.63/266.99
% 266.63/266.99 % Status : Unsatisfiable
% 266.63/266.99 % Rating : 0.00 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.14 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.12 v2.6.0, 0.33 v2.5.0, 0.20 v2.4.0, 0.00 v2.1.0, 0.12 v2.0.0
% 266.63/266.99 % Syntax : Number of clauses : 12 ( 2 unt; 2 nHn; 10 RR)
% 266.63/266.99 % Number of literals : 30 ( 0 equ; 17 neg)
% 266.63/266.99 % Maximal clause size : 4 ( 2 avg)
% 266.63/266.99 % Maximal term depth : 2 ( 1 avg)
% 266.63/266.99 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 266.63/266.99 % Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% 266.63/266.99 % Number of variables : 27 ( 0 sgn)
% 266.63/266.99 % SPC : CNF_UNS_RFO_NEQ_NHN
% 266.63/266.99
% 266.63/266.99 % Comments : The axioms in this version are known to be incomplete. To
% 266.63/266.99 % make them complete it is be necessary to add appropriate set
% 266.63/266.99 % theory axioms.
% 266.63/266.99 %--------------------------------------------------------------------------
% 266.63/266.99 %----Include Point-set topology axioms
% 266.63/266.99 % include('Axioms/TOP001-0.ax').
% 266.63/266.99 %--------------------------------------------------------------------------
% 266.63/266.99 %----Sigma (union of members).
% 266.63/266.99 cnf(union_of_members_1,axiom,
% 266.63/266.99 ( ~ element_of_set(U,union_of_members(Vf))
% 266.63/266.99 | element_of_set(U,f1(Vf,U)) ) ).
% 266.63/266.99
% 266.63/266.99 cnf(union_of_members_2,axiom,
% 266.63/266.99 ( ~ element_of_set(U,union_of_members(Vf))
% 266.63/266.99 | element_of_collection(f1(Vf,U),Vf) ) ).
% 266.63/266.99
% 266.63/266.99 %----Topology generated by a basis
% 266.63/266.99 cnf(topology_generated_37,axiom,
% 266.63/266.99 ( ~ element_of_collection(U,top_of_basis(Vf))
% 266.63/266.99 | ~ element_of_set(X,U)
% 266.63/266.99 | element_of_set(X,f10(Vf,U,X)) ) ).
% 266.63/266.99
% 266.63/266.99 cnf(topology_generated_38,axiom,
% 266.63/266.99 ( ~ element_of_collection(U,top_of_basis(Vf))
% 266.63/266.99 | ~ element_of_set(X,U)
% 266.63/266.99 | element_of_collection(f10(Vf,U,X),Vf) ) ).
% 266.63/266.99
% 266.63/266.99 cnf(topology_generated_39,axiom,
% 266.63/266.99 ( ~ element_of_collection(U,top_of_basis(Vf))
% 266.63/266.99 | ~ element_of_set(X,U)
% 266.63/266.99 | subset_sets(f10(Vf,U,X),U) ) ).
% 266.63/266.99
% 266.63/266.99 cnf(topology_generated_40,axiom,
% 266.63/266.99 ( element_of_collection(U,top_of_basis(Vf))
% 266.63/266.99 | element_of_set(f11(Vf,U),U) ) ).
% 266.63/266.99
% 266.63/266.99 cnf(topology_generated_41,axiom,
% 266.63/266.99 ( element_of_collection(U,top_of_basis(Vf))
% 266.63/266.99 | ~ element_of_set(f11(Vf,U),Uu11)
% 266.63/266.99 | ~ element_of_collection(Uu11,Vf)
% 266.63/266.99 | ~ subset_sets(Uu11,U) ) ).
% 266.63/266.99
% 266.63/266.99 cnf(set_theory_19,axiom,
% 266.63/266.99 ( subset_sets(X,Y)
% 266.63/266.99 | ~ element_of_set(U,X)
% 266.63/266.99 | element_of_set(U,Y) ) ).
% 266.63/266.99
% 266.63/266.99 cnf(set_theory_20,axiom,
% 266.63/266.99 ( ~ subset_sets(X,Y)
% 266.63/266.99 | ~ element_of_collection(Y,Z)
% 266.63/266.99 | subset_sets(X,union_of_members(Z)) ) ).
% 266.63/266.99
% 266.63/266.99 cnf(set_theory_21,axiom,
% 266.63/266.99 ( ~ subset_collections(X,Y)
% 266.63/266.99 | ~ element_of_collection(U,X)
% 266.63/266.99 | element_of_collection(U,Y) ) ).
% 266.63/266.99
% 266.63/266.99 %----Not used in the reduced version
% 266.63/266.99 % input_clause(lemma_1e_1,negated_conjecture,
% 266.63/266.99 % [++basis(cx,f)]).
% 266.63/266.99
% 266.63/266.99 cnf(lemma_1e_2,negated_conjecture,
% 266.63/266.99 subset_collections(g,top_of_basis(f)) ).
% 266.63/266.99
% 266.63/266.99 cnf(lemma_1e_3,negated_conjecture,
% 266.63/266.99 ~ element_of_collection(union_of_members(g),top_of_basis(f)) ).
% 266.63/266.99
% 266.63/266.99 %--------------------------------------------------------------------------
% 266.63/266.99 %-------------------------------------------
% 266.63/266.99 % Proof found
% 266.63/266.99 % SZS status Theorem for theBenchmark
% 266.63/266.99 % SZS output start Proof
% 266.71/267.02 %ClaNum:12(EqnAxiom:0)
% 266.71/267.02 %VarNum:66(SingletonVarNum:27)
% 266.71/267.02 %MaxLitNum:4
% 266.71/267.02 %MaxfuncDepth:1
% 266.71/267.02 %SharedTerms:6
% 266.71/267.02 %goalClause: 1 2
% 266.71/267.02 %singleGoalClaCount:2
% 266.71/267.02 [1]P1(a1,f6(a2))
% 266.71/267.02 [2]~P2(f7(a1),f6(a2))
% 266.71/267.02 [5]P3(f3(x52,x51),x51)+P2(x51,f6(x52))
% 266.71/267.02 [7]~P3(x71,f7(x72))+P3(x71,f4(x72,x71))
% 266.71/267.02 [8]~P3(x82,f7(x81))+P2(f4(x81,x82),x81)
% 266.71/267.02 [3]~P3(x31,x33)+P3(x31,x32)+P4(x33,x32)
% 266.71/267.02 [4]~P1(x43,x42)+P2(x41,x42)+~P2(x41,x43)
% 266.71/267.02 [6]~P4(x61,x63)+~P2(x63,x62)+P4(x61,f7(x62))
% 266.71/267.02 [10]~P3(x101,x103)+~P2(x103,f6(x102))+P3(x101,f5(x102,x103,x101))
% 266.71/267.02 [11]~P3(x113,x112)+~P2(x112,f6(x111))+P2(f5(x111,x112,x113),x111)
% 266.71/267.02 [12]~P3(x123,x122)+~P2(x122,f6(x121))+P4(f5(x121,x122,x123),x122)
% 266.71/267.02 [9]~P4(x93,x91)+~P2(x93,x92)+~P3(f3(x92,x91),x93)+P2(x91,f6(x92))
% 266.71/267.02 %EqnAxiom
% 266.71/267.02
% 266.71/267.02 %-------------------------------------------
% 266.84/267.13 cnf(13,plain,
% 266.84/267.13 (P3(f3(a2,f7(a1)),f7(a1))),
% 266.84/267.13 inference(scs_inference,[],[2,5])).
% 266.84/267.13 cnf(21,plain,
% 266.84/267.13 (P2(f4(a1,f3(a2,f7(a1))),f6(a2))),
% 266.84/267.13 inference(scs_inference,[],[13,1,8,4])).
% 266.84/267.13 cnf(36,plain,
% 266.84/267.13 (P3(f3(a2,f7(a1)),f4(a1,f3(a2,f7(a1))))),
% 266.84/267.13 inference(scs_inference,[],[2,5,7])).
% 266.84/267.13 cnf(40,plain,
% 266.84/267.13 (P2(f4(a1,f3(a2,f7(a1))),a1)),
% 266.84/267.13 inference(scs_inference,[],[2,5,8])).
% 266.84/267.13 cnf(142412,plain,
% 266.84/267.13 (~P2(x1424121,x1424122)+P4(x1424123,f7(x1424122))+~P4(x1424123,x1424121)),
% 266.84/267.13 inference(rename_variables,[],[6])).
% 266.84/267.13 cnf(142415,plain,
% 266.84/267.13 ($false),
% 266.84/267.13 inference(scs_inference,[],[21,40,36,2,10,11,12,6,142412,9]),
% 266.84/267.13 ['proof']).
% 267.03/267.31 % SZS output end Proof
% 267.03/267.31 % Total time :266.000000s
%------------------------------------------------------------------------------