TSTP Solution File: LAT275-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LAT275-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : Thu Aug 31 05:57:58 EDT 2023
% Result : Unsatisfiable 0.15s 0.57s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT275-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.10/0.31 % Computer : n005.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 : Thu Aug 24 08:42:38 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.54 start to proof:theBenchmark
% 0.15/0.57 %-------------------------------------------
% 0.15/0.57 % File :CSE---1.6
% 0.15/0.57 % Problem :theBenchmark
% 0.15/0.57 % Transform :cnf
% 0.15/0.57 % Format :tptp:raw
% 0.15/0.57 % Command :java -jar mcs_scs.jar %d %s
% 0.15/0.57
% 0.15/0.57 % Result :Theorem 0.000000s
% 0.15/0.57 % Output :CNFRefutation 0.000000s
% 0.15/0.57 %-------------------------------------------
% 0.15/0.57 %------------------------------------------------------------------------------
% 0.15/0.57 % File : LAT275-2 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.57 % Domain : Analysis
% 0.15/0.57 % Problem : Problem about Tarski's fixed point theorem
% 0.15/0.57 % Version : [Pau06] axioms : Reduced > Especial.
% 0.15/0.57 % English :
% 0.15/0.57
% 0.15/0.57 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.15/0.57 % Source : [Pau06]
% 0.15/0.57 % Names :
% 0.15/0.57
% 0.15/0.57 % Status : Unsatisfiable
% 0.15/0.57 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v3.2.0
% 0.15/0.57 % Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 4 RR)
% 0.15/0.57 % Number of literals : 5 ( 1 equ; 2 neg)
% 0.15/0.57 % Maximal clause size : 2 ( 1 avg)
% 0.15/0.57 % Maximal term depth : 2 ( 1 avg)
% 0.15/0.57 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.15/0.57 % Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% 0.15/0.57 % Number of variables : 1 ( 0 sgn)
% 0.15/0.57 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.15/0.57
% 0.15/0.57 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.15/0.57 % of which only a small selection are required for the refutation.
% 0.15/0.57 % The mission is to find those few axioms, after which a refutation
% 0.15/0.57 % can be quite easily found. This version has only the necessary
% 0.15/0.57 % axioms.
% 0.15/0.57 %------------------------------------------------------------------------------
% 0.15/0.57 cnf(cls_conjecture_0,negated_conjecture,
% 0.15/0.57 c_lessequals(v_S,v_A,tc_set(t_a)) ).
% 0.15/0.57
% 0.15/0.57 cnf(cls_conjecture_2,negated_conjecture,
% 0.15/0.57 ~ c_in(c_Tarski_Olub(v_S,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ).
% 0.15/0.57
% 0.15/0.57 cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
% 0.15/0.57 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ).
% 0.15/0.57
% 0.15/0.57 cnf(cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0,axiom,
% 0.15/0.57 ( ~ c_lessequals(V_S,v_A,tc_set(t_a))
% 0.15/0.57 | c_in(c_Tarski_Olub(V_S,v_cl,t_a),v_A,t_a) ) ).
% 0.15/0.57
% 0.15/0.57 %------------------------------------------------------------------------------
% 0.15/0.57 %-------------------------------------------
% 0.15/0.57 % Proof found
% 0.15/0.57 % SZS status Theorem for theBenchmark
% 0.15/0.57 % SZS output start Proof
% 0.15/0.57 %ClaNum:20(EqnAxiom:16)
% 0.15/0.57 %VarNum:2(SingletonVarNum:1)
% 0.15/0.57 %MaxLitNum:2
% 0.15/0.57 %MaxfuncDepth:1
% 0.15/0.57 %SharedTerms:11
% 0.15/0.57 %goalClause: 18 19
% 0.15/0.57 %singleGoalClaCount:2
% 0.15/0.58 [17]E(f3(a1,a2,a5),a6)
% 0.15/0.58 [18]P1(a8,a6,f7(a2))
% 0.15/0.58 [19]~P2(f4(a8,a1,a2),f3(a1,a2,a5),a2)
% 0.15/0.58 [20]~P1(x201,a6,f7(a2))+P2(f4(x201,a1,a2),a6,a2)
% 0.15/0.58 %EqnAxiom
% 0.15/0.58 [1]E(x11,x11)
% 0.15/0.58 [2]E(x22,x21)+~E(x21,x22)
% 0.15/0.58 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.15/0.58 [4]~E(x41,x42)+E(f3(x41,x43,x44),f3(x42,x43,x44))
% 0.15/0.58 [5]~E(x51,x52)+E(f3(x53,x51,x54),f3(x53,x52,x54))
% 0.15/0.58 [6]~E(x61,x62)+E(f3(x63,x64,x61),f3(x63,x64,x62))
% 0.15/0.58 [7]~E(x71,x72)+E(f7(x71),f7(x72))
% 0.15/0.58 [8]~E(x81,x82)+E(f4(x81,x83,x84),f4(x82,x83,x84))
% 0.15/0.58 [9]~E(x91,x92)+E(f4(x93,x91,x94),f4(x93,x92,x94))
% 0.15/0.58 [10]~E(x101,x102)+E(f4(x103,x104,x101),f4(x103,x104,x102))
% 0.15/0.58 [11]P1(x112,x113,x114)+~E(x111,x112)+~P1(x111,x113,x114)
% 0.15/0.58 [12]P1(x123,x122,x124)+~E(x121,x122)+~P1(x123,x121,x124)
% 0.15/0.58 [13]P1(x133,x134,x132)+~E(x131,x132)+~P1(x133,x134,x131)
% 0.15/0.58 [14]P2(x142,x143,x144)+~E(x141,x142)+~P2(x141,x143,x144)
% 0.15/0.58 [15]P2(x153,x152,x154)+~E(x151,x152)+~P2(x153,x151,x154)
% 0.15/0.58 [16]P2(x163,x164,x162)+~E(x161,x162)+~P2(x163,x164,x161)
% 0.15/0.58
% 0.15/0.58 %-------------------------------------------
% 0.15/0.58 cnf(21,plain,
% 0.15/0.58 (E(a6,f3(a1,a2,a5))),
% 0.15/0.58 inference(scs_inference,[],[17,2])).
% 0.15/0.58 cnf(23,plain,
% 0.15/0.58 (P2(f4(a8,a1,a2),a6,a2)),
% 0.15/0.58 inference(scs_inference,[],[18,17,2,12,20])).
% 0.15/0.58 cnf(38,plain,
% 0.15/0.58 ($false),
% 0.15/0.58 inference(scs_inference,[],[19,23,21,15]),
% 0.15/0.58 ['proof']).
% 0.15/0.58 % SZS output end Proof
% 0.15/0.58 % Total time :0.000000s
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