%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : TOP005-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 : Mon Jun 24 21:15:04 EDT 2024
% Result : Unsatisfiable 116.49s 119.27s
% Output : CNFRefutation 116.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : TOP005-2 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n026.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Jun 18 11:41:54 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.51 start to proof:theBenchmark
% 116.49/119.26 %-------------------------------------------
% 116.49/119.26 % File :CSE---1.7
% 116.49/119.26 % Problem :theBenchmark
% 116.49/119.26 % Transform :cnf
% 116.49/119.26 % Format :tptp:raw
% 116.49/119.26 % Command :java -jar mcs_scs.jar %d %s
% 116.49/119.26
% 116.49/119.26 % Result :Theorem 116.000000s
% 116.49/119.26 % Output :CNFRefutation 116.000000s
% 116.49/119.26 %-------------------------------------------
% 116.49/119.27 %--------------------------------------------------------------------------
% 116.49/119.27 % File : TOP005-2 : TPTP v8.2.0. Released v1.0.0.
% 116.49/119.27 % Domain : Topology
% 116.49/119.27 % Problem : Topology generated by a basis forms a topological space, part 5
% 116.49/119.27 % Version : [WM89] axioms : Incomplete > Reduced & Augmented > Incomplete.
% 116.49/119.27 % English :
% 116.49/119.27
% 116.49/119.27 % Refs : [WM89] Wick & McCune (1989), Automated Reasoning about Elemen
% 116.49/119.27 % Source : [WM89]
% 116.49/119.27 % Names : Lemma 1e [WM89]
% 116.49/119.27
% 116.49/119.27 % Status : Unsatisfiable
% 116.49/119.27 % 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
% 116.49/119.27 % Syntax : Number of clauses : 12 ( 2 unt; 2 nHn; 10 RR)
% 116.49/119.27 % Number of literals : 30 ( 0 equ; 17 neg)
% 116.49/119.27 % Maximal clause size : 4 ( 2 avg)
% 116.49/119.27 % Maximal term depth : 2 ( 1 avg)
% 116.49/119.27 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 116.49/119.27 % Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% 116.49/119.27 % Number of variables : 27 ( 0 sgn)
% 116.49/119.27 % SPC : CNF_UNS_RFO_NEQ_NHN
% 116.49/119.27
% 116.49/119.27 % Comments : The axioms in this version are known to be incomplete. To
% 116.49/119.27 % make them complete it is be necessary to add appropriate set
% 116.49/119.27 % theory axioms.
% 116.49/119.27 %--------------------------------------------------------------------------
% 116.49/119.27 %----Include Point-set topology axioms
% 116.49/119.27 % include('Axioms/TOP001-0.ax').
% 116.49/119.27 %--------------------------------------------------------------------------
% 116.49/119.27 %----Sigma (union of members).
% 116.49/119.27 cnf(union_of_members_1,axiom,
% 116.49/119.27 ( ~ element_of_set(U,union_of_members(Vf))
% 116.49/119.27 | element_of_set(U,f1(Vf,U)) ) ).
% 116.49/119.27
% 116.49/119.27 cnf(union_of_members_2,axiom,
% 116.49/119.27 ( ~ element_of_set(U,union_of_members(Vf))
% 116.49/119.27 | element_of_collection(f1(Vf,U),Vf) ) ).
% 116.49/119.27
% 116.49/119.27 %----Topology generated by a basis
% 116.49/119.27 cnf(topology_generated_37,axiom,
% 116.49/119.27 ( ~ element_of_collection(U,top_of_basis(Vf))
% 116.49/119.27 | ~ element_of_set(X,U)
% 116.49/119.27 | element_of_set(X,f10(Vf,U,X)) ) ).
% 116.49/119.27
% 116.49/119.27 cnf(topology_generated_38,axiom,
% 116.49/119.27 ( ~ element_of_collection(U,top_of_basis(Vf))
% 116.49/119.27 | ~ element_of_set(X,U)
% 116.49/119.27 | element_of_collection(f10(Vf,U,X),Vf) ) ).
% 116.49/119.27
% 116.49/119.27 cnf(topology_generated_39,axiom,
% 116.49/119.27 ( ~ element_of_collection(U,top_of_basis(Vf))
% 116.49/119.27 | ~ element_of_set(X,U)
% 116.49/119.27 | subset_sets(f10(Vf,U,X),U) ) ).
% 116.49/119.27
% 116.49/119.27 cnf(topology_generated_40,axiom,
% 116.49/119.27 ( element_of_collection(U,top_of_basis(Vf))
% 116.49/119.27 | element_of_set(f11(Vf,U),U) ) ).
% 116.49/119.27
% 116.49/119.27 cnf(topology_generated_41,axiom,
% 116.49/119.27 ( element_of_collection(U,top_of_basis(Vf))
% 116.49/119.27 | ~ element_of_set(f11(Vf,U),Uu11)
% 116.49/119.27 | ~ element_of_collection(Uu11,Vf)
% 116.49/119.27 | ~ subset_sets(Uu11,U) ) ).
% 116.49/119.27
% 116.49/119.27 cnf(set_theory_19,axiom,
% 116.49/119.27 ( subset_sets(X,Y)
% 116.49/119.27 | ~ element_of_set(U,X)
% 116.49/119.27 | element_of_set(U,Y) ) ).
% 116.49/119.27
% 116.49/119.27 cnf(set_theory_20,axiom,
% 116.49/119.27 ( ~ subset_sets(X,Y)
% 116.49/119.27 | ~ element_of_collection(Y,Z)
% 116.49/119.27 | subset_sets(X,union_of_members(Z)) ) ).
% 116.49/119.27
% 116.49/119.27 cnf(set_theory_21,axiom,
% 116.49/119.27 ( ~ subset_collections(X,Y)
% 116.49/119.27 | ~ element_of_collection(U,X)
% 116.49/119.27 | element_of_collection(U,Y) ) ).
% 116.49/119.27
% 116.49/119.27 %----Not used in the reduced version
% 116.49/119.27 % input_clause(lemma_1e_1,negated_conjecture,
% 116.49/119.27 % [++basis(cx,f)]).
% 116.49/119.27
% 116.49/119.27 cnf(lemma_1e_2,negated_conjecture,
% 116.49/119.27 subset_collections(g,top_of_basis(f)) ).
% 116.49/119.27
% 116.49/119.27 cnf(lemma_1e_3,negated_conjecture,
% 116.49/119.27 ~ element_of_collection(union_of_members(g),top_of_basis(f)) ).
% 116.49/119.27
% 116.49/119.27 %--------------------------------------------------------------------------
% 116.49/119.27 %-------------------------------------------
% 116.49/119.27 % Proof found
% 116.49/119.27 % SZS status Theorem for theBenchmark
% 116.49/119.27 % SZS output start Proof
% 116.59/119.28 %ClaNum:12(EqnAxiom:0)
% 116.59/119.28 %VarNum:66(SingletonVarNum:27)
% 116.59/119.28 %MaxLitNum:4
% 116.59/119.28 %MaxfuncDepth:1
% 116.59/119.28 %SharedTerms:6
% 116.59/119.28 %goalClause: 1 2
% 116.59/119.28 %singleGoalClaCount:2
% 116.59/119.28 [1]P1(a1,f6(a2))
% 116.59/119.28 [2]~P2(f7(a1),f6(a2))
% 116.59/119.28 [5]P3(f3(x52,x51),x51)+P2(x51,f6(x52))
% 116.59/119.28 [7]~P3(x71,f7(x72))+P3(x71,f4(x72,x71))
% 116.59/119.28 [8]~P3(x82,f7(x81))+P2(f4(x81,x82),x81)
% 116.59/119.28 [3]~P3(x31,x33)+P3(x31,x32)+P4(x33,x32)
% 116.59/119.28 [4]~P1(x43,x42)+P2(x41,x42)+~P2(x41,x43)
% 116.59/119.28 [6]~P4(x61,x63)+~P2(x63,x62)+P4(x61,f7(x62))
% 116.59/119.28 [10]~P3(x101,x103)+~P2(x103,f6(x102))+P3(x101,f5(x102,x103,x101))
% 116.59/119.28 [11]~P3(x113,x112)+~P2(x112,f6(x111))+P2(f5(x111,x112,x113),x111)
% 116.59/119.28 [12]~P3(x123,x122)+~P2(x122,f6(x121))+P4(f5(x121,x122,x123),x122)
% 116.59/119.28 [9]~P4(x93,x91)+~P2(x93,x92)+~P3(f3(x92,x91),x93)+P2(x91,f6(x92))
% 116.59/119.28 %EqnAxiom
% 116.59/119.28
% 116.59/119.28 %-------------------------------------------
% 116.59/119.32 cnf(13,plain,
% 116.59/119.32 (P3(f3(a2,f7(a1)),f7(a1))),
% 116.59/119.32 inference(scs_inference,[],[2,5])).
% 116.59/119.32 cnf(19,plain,
% 116.59/119.32 (P2(f4(a1,f3(a2,f7(a1))),f6(a2))),
% 116.59/119.32 inference(scs_inference,[],[13,1,8,4])).
% 116.59/119.32 cnf(25,plain,
% 116.59/119.32 (P3(f3(a2,f7(a1)),f4(a1,f3(a2,f7(a1))))),
% 116.59/119.32 inference(scs_inference,[],[2,5,7])).
% 116.59/119.32 cnf(27,plain,
% 116.59/119.32 (P2(f4(a1,f3(a2,f7(a1))),a1)),
% 116.59/119.32 inference(scs_inference,[],[2,5,8])).
% 116.59/119.32 cnf(59407,plain,
% 116.59/119.32 (P4(f5(a2,f4(a1,f3(a2,f7(a1))),f3(a2,f7(a1))),f4(a1,f3(a2,f7(a1))))),
% 116.59/119.32 inference(scs_inference,[],[19,25,10,11,12])).
% 116.59/119.32 cnf(59409,plain,
% 116.59/119.32 (~P4(f5(a2,f4(a1,f3(a2,f7(a1))),f3(a2,f7(a1))),f7(a1))),
% 116.59/119.32 inference(scs_inference,[],[2,19,25,10,11,12,9])).
% 116.59/119.32 cnf(59417,plain,
% 116.59/119.33 ($false),
% 116.59/119.33 inference(scs_inference,[],[27,59407,59409,6]),
% 116.59/119.33 ['proof']).
% 116.70/119.40 % SZS output end Proof
% 116.70/119.40 % Total time :116.000000s
%------------------------------------------------------------------------------