TSTP Solution File: LAT269-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LAT269-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 05:57:55 EDT 2023
% Result : Unsatisfiable 120.98s 121.00s
% Output : CNFRefutation 121.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT269-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 09:56:15 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.54 start to proof:theBenchmark
% 120.98/120.98 %-------------------------------------------
% 120.98/120.98 % File :CSE---1.6
% 120.98/120.98 % Problem :theBenchmark
% 120.98/120.98 % Transform :cnf
% 120.98/120.98 % Format :tptp:raw
% 120.98/120.98 % Command :java -jar mcs_scs.jar %d %s
% 120.98/120.98
% 120.98/120.98 % Result :Theorem 120.390000s
% 120.98/120.98 % Output :CNFRefutation 120.390000s
% 120.98/120.98 %-------------------------------------------
% 120.98/121.00 %------------------------------------------------------------------------------
% 120.98/121.00 % File : LAT269-2 : TPTP v8.1.2. Released v3.2.0.
% 120.98/121.00 % Domain : Analysis
% 120.98/121.00 % Problem : Problem about Tarski's fixed point theorem
% 120.98/121.00 % Version : [Pau06] axioms : Reduced > Especial.
% 120.98/121.00 % English :
% 120.98/121.00
% 120.98/121.00 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 120.98/121.00 % Source : [Pau06]
% 120.98/121.00 % Names :
% 120.98/121.00
% 120.98/121.00 % Status : Unsatisfiable
% 120.98/121.00 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.00 v4.0.0, 0.18 v3.7.0, 0.10 v3.5.0, 0.18 v3.4.0, 0.25 v3.3.0, 0.21 v3.2.0
% 120.98/121.00 % Syntax : Number of clauses : 6 ( 4 unt; 1 nHn; 6 RR)
% 120.98/121.00 % Number of literals : 10 ( 3 equ; 5 neg)
% 120.98/121.00 % Maximal clause size : 4 ( 1 avg)
% 120.98/121.00 % Maximal term depth : 4 ( 1 avg)
% 120.98/121.00 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 120.98/121.00 % Number of functors : 16 ( 16 usr; 10 con; 0-5 aty)
% 120.98/121.00 % Number of variables : 3 ( 0 sgn)
% 120.98/121.00 % SPC : CNF_UNS_RFO_SEQ_NHN
% 120.98/121.00
% 120.98/121.00 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 120.98/121.00 % of which only a small selection are required for the refutation.
% 120.98/121.00 % The mission is to find those few axioms, after which a refutation
% 120.98/121.00 % can be quite easily found. This version has only the necessary
% 120.98/121.00 % axioms.
% 120.98/121.00 %------------------------------------------------------------------------------
% 120.98/121.00 cnf(cls_conjecture_0,negated_conjecture,
% 120.98/121.00 ~ c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ).
% 120.98/121.00
% 120.98/121.00 cnf(cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0,axiom,
% 120.98/121.00 c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a) ).
% 120.98/121.00
% 120.98/121.00 cnf(cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0,axiom,
% 120.98/121.00 ( ~ c_in(V_b,v_A,t_a)
% 120.98/121.00 | ~ c_in(V_a,v_A,t_a)
% 120.98/121.00 | c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,V_a,V_b,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,V_a,V_b,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
% 120.98/121.00 | c_Tarski_Ointerval(v_r,V_a,V_b,t_a) = c_emptyset ) ).
% 120.98/121.00
% 120.98/121.00 cnf(cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0,axiom,
% 120.98/121.00 v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a) ).
% 120.98/121.00
% 120.98/121.00 cnf(cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0,axiom,
% 120.98/121.00 c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a) ).
% 120.98/121.00
% 120.98/121.00 cnf(cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0,axiom,
% 120.98/121.00 ( ~ c_in(V_x,v_A,t_a)
% 120.98/121.00 | c_Tarski_Ointerval(v_r,V_x,c_Tarski_OTop(v_cl,t_a),t_a) != c_emptyset ) ).
% 120.98/121.00
% 120.98/121.00 %------------------------------------------------------------------------------
% 120.98/121.00 %-------------------------------------------
% 120.98/121.00 % Proof found
% 120.98/121.00 % SZS status Theorem for theBenchmark
% 120.98/121.00 % SZS output start Proof
% 120.98/121.02 %ClaNum:31(EqnAxiom:25)
% 120.98/121.02 %VarNum:10(SingletonVarNum:3)
% 120.98/121.02 %MaxLitNum:4
% 120.98/121.02 %MaxfuncDepth:3
% 120.98/121.02 %SharedTerms:20
% 120.98/121.02 %goalClause: 29
% 120.98/121.02 %singleGoalClaCount:1
% 120.98/121.02 [26]P1(f3(a1,a2),a11,a2)
% 120.98/121.02 [27]P1(f6(a14,a1,a2),a11,a2)
% 120.98/121.02 [28]E(f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),a16)
% 120.98/121.02 [29]~P1(f9(a16,f8(a16,a15,a2),a4,a2,a12),a5,f13(a2,a12))
% 120.98/121.02 [30]~P1(x301,a11,a2)+~E(f7(a15,x301,f3(a1,a2),a2),a10)
% 120.98/121.02 [31]~P1(x311,a11,a2)+~P1(x312,a11,a2)+E(f7(a15,x311,x312,a2),a10)+P1(f9(f7(a15,x311,x312,a2),f8(f7(a15,x311,x312,a2),a15,a2),a4,a2,a12),a5,f13(a2,a12))
% 120.98/121.02 %EqnAxiom
% 120.98/121.02 [1]E(x11,x11)
% 120.98/121.02 [2]E(x22,x21)+~E(x21,x22)
% 120.98/121.02 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 120.98/121.02 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 120.98/121.02 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 120.98/121.02 [6]~E(x61,x62)+E(f6(x61,x63,x64),f6(x62,x63,x64))
% 120.98/121.02 [7]~E(x71,x72)+E(f6(x73,x71,x74),f6(x73,x72,x74))
% 120.98/121.02 [8]~E(x81,x82)+E(f6(x83,x84,x81),f6(x83,x84,x82))
% 120.98/121.02 [9]~E(x91,x92)+E(f8(x91,x93,x94),f8(x92,x93,x94))
% 120.98/121.02 [10]~E(x101,x102)+E(f8(x103,x101,x104),f8(x103,x102,x104))
% 120.98/121.02 [11]~E(x111,x112)+E(f8(x113,x114,x111),f8(x113,x114,x112))
% 120.98/121.02 [12]~E(x121,x122)+E(f13(x121,x123),f13(x122,x123))
% 120.98/121.02 [13]~E(x131,x132)+E(f13(x133,x131),f13(x133,x132))
% 120.98/121.02 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145),f7(x142,x143,x144,x145))
% 120.98/121.02 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155),f7(x153,x152,x154,x155))
% 120.98/121.02 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165),f7(x163,x164,x162,x165))
% 120.98/121.02 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171),f7(x173,x174,x175,x172))
% 120.98/121.02 [18]~E(x181,x182)+E(f9(x181,x183,x184,x185,x186),f9(x182,x183,x184,x185,x186))
% 120.98/121.02 [19]~E(x191,x192)+E(f9(x193,x191,x194,x195,x196),f9(x193,x192,x194,x195,x196))
% 120.98/121.02 [20]~E(x201,x202)+E(f9(x203,x204,x201,x205,x206),f9(x203,x204,x202,x205,x206))
% 120.98/121.02 [21]~E(x211,x212)+E(f9(x213,x214,x215,x211,x216),f9(x213,x214,x215,x212,x216))
% 120.98/121.02 [22]~E(x221,x222)+E(f9(x223,x224,x225,x226,x221),f9(x223,x224,x225,x226,x222))
% 120.98/121.02 [23]P1(x232,x233,x234)+~E(x231,x232)+~P1(x231,x233,x234)
% 120.98/121.02 [24]P1(x243,x242,x244)+~E(x241,x242)+~P1(x243,x241,x244)
% 120.98/121.02 [25]P1(x253,x254,x252)+~E(x251,x252)+~P1(x253,x254,x251)
% 120.98/121.02
% 120.98/121.02 %-------------------------------------------
% 121.07/121.03 cnf(33,plain,
% 121.07/121.03 (~E(f7(a15,f3(a1,a2),f3(a1,a2),a2),a10)),
% 121.07/121.03 inference(scs_inference,[],[26,28,2,30])).
% 121.07/121.03 cnf(35,plain,
% 121.07/121.03 (E(f9(x351,x352,x353,x354,f7(a15,f6(a14,a1,a2),f3(a1,a2),a2)),f9(x351,x352,x353,x354,a16))),
% 121.07/121.03 inference(scs_inference,[],[26,28,2,30,22])).
% 121.07/121.03 cnf(37,plain,
% 121.07/121.03 (E(f9(x371,x372,f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),x373,x374),f9(x371,x372,a16,x373,x374))),
% 121.07/121.04 inference(scs_inference,[],[26,28,2,30,22,21,20])).
% 121.07/121.04 cnf(38,plain,
% 121.07/121.04 (E(f9(x381,f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),x382,x383,x384),f9(x381,a16,x382,x383,x384))),
% 121.07/121.04 inference(scs_inference,[],[26,28,2,30,22,21,20,19])).
% 121.07/121.04 cnf(39,plain,
% 121.07/121.04 (E(f9(f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),x391,x392,x393,x394),f9(a16,x391,x392,x393,x394))),
% 121.07/121.04 inference(scs_inference,[],[26,28,2,30,22,21,20,19,18])).
% 121.07/121.04 cnf(40,plain,
% 121.07/121.04 (E(f7(x401,x402,x403,f7(a15,f6(a14,a1,a2),f3(a1,a2),a2)),f7(x401,x402,x403,a16))),
% 121.07/121.04 inference(scs_inference,[],[26,28,2,30,22,21,20,19,18,17])).
% 121.07/121.04 cnf(41,plain,
% 121.07/121.04 (E(f7(x411,x412,f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),x413),f7(x411,x412,a16,x413))),
% 121.07/121.04 inference(scs_inference,[],[26,28,2,30,22,21,20,19,18,17,16])).
% 121.07/121.04 cnf(48,plain,
% 121.07/121.04 (E(f8(f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),x481,x482),f8(a16,x481,x482))),
% 121.07/121.04 inference(scs_inference,[],[26,28,2,30,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 121.07/121.04 cnf(52,plain,
% 121.07/121.04 (E(f3(x521,f7(a15,f6(a14,a1,a2),f3(a1,a2),a2)),f3(x521,a16))),
% 121.07/121.04 inference(scs_inference,[],[26,28,2,30,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 121.07/121.04 cnf(55,plain,
% 121.07/121.04 (~P1(f9(f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),f8(a16,a15,a2),a4,a2,a12),a5,f13(a2,a12))),
% 121.07/121.04 inference(scs_inference,[],[29,26,28,2,30,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,25,23])).
% 121.07/121.04 cnf(60,plain,
% 121.07/121.04 (E(f9(x601,x602,f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),x603,f7(a15,f6(a14,a1,a2),f3(a1,a2),a2)),f9(x601,x602,a16,x603,a16))),
% 121.07/121.04 inference(scs_inference,[],[35,37,33,2,3])).
% 121.07/121.04 cnf(78,plain,
% 121.07/121.04 (~P1(x781,a5,f13(a2,a12))+~E(x781,f9(f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),f8(a16,a15,a2),a4,a2,a12))),
% 121.07/121.04 inference(scs_inference,[],[38,39,55,3,23])).
% 121.07/121.04 cnf(85,plain,
% 121.07/121.04 (~E(f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),a10)),
% 121.07/121.04 inference(scs_inference,[],[27,40,41,3,30])).
% 121.07/121.04 cnf(197,plain,
% 121.07/121.04 (E(f9(x1971,f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),x1972,x1973),f9(x1971,a16,a16,x1972,x1973))),
% 121.07/121.04 inference(scs_inference,[],[37,38,3])).
% 121.07/121.04 cnf(209,plain,
% 121.07/121.04 (E(f9(x2091,a16,a16,x2092,x2093),f9(x2091,f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),x2092,x2093))),
% 121.07/121.04 inference(scs_inference,[],[197,2])).
% 121.07/121.04 cnf(1689,plain,
% 121.07/121.04 (~E(f9(f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),f8(f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),a15,a2),a4,a2,a12),f9(f7(a15,f6(a14,a1,a2),f3(a1,a2),a2),f8(a16,a15,a2),a4,a2,a12))),
% 121.07/121.04 inference(scs_inference,[],[26,85,52,209,60,27,21,11,22,18,9,10,16,19,20,5,8,3,13,12,14,15,4,17,2,7,6,31,78])).
% 121.07/121.04 cnf(1693,plain,
% 121.07/121.04 ($false),
% 121.07/121.04 inference(scs_inference,[],[1689,48,19]),
% 121.07/121.04 ['proof']).
% 121.07/121.04 % SZS output end Proof
% 121.07/121.04 % Total time :120.390000s
%------------------------------------------------------------------------------