TSTP Solution File: LAT259-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LAT259-2 : 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 : n009.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 05:57:50 EDT 2023
% Result : Unsatisfiable 0.17s 0.62s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT259-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Aug 24 09:40:36 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.57 start to proof:theBenchmark
% 0.17/0.61 %-------------------------------------------
% 0.17/0.61 % File :CSE---1.6
% 0.17/0.61 % Problem :theBenchmark
% 0.17/0.61 % Transform :cnf
% 0.17/0.61 % Format :tptp:raw
% 0.17/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.61
% 0.17/0.61 % Result :Theorem 0.000000s
% 0.17/0.61 % Output :CNFRefutation 0.000000s
% 0.17/0.61 %-------------------------------------------
% 0.17/0.61 %------------------------------------------------------------------------------
% 0.17/0.61 % File : LAT259-2 : TPTP v8.1.2. Released v3.2.0.
% 0.17/0.61 % Domain : Analysis
% 0.17/0.61 % Problem : Problem about Tarski's fixed point theorem
% 0.17/0.61 % Version : [Pau06] axioms : Reduced > Especial.
% 0.17/0.61 % English :
% 0.17/0.61
% 0.17/0.61 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.17/0.62 % Source : [Pau06]
% 0.17/0.62 % Names :
% 0.17/0.62
% 0.17/0.62 % Status : Unsatisfiable
% 0.17/0.62 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v3.3.0, 0.14 v3.2.0
% 0.17/0.62 % Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% 0.17/0.62 % Number of literals : 11 ( 3 equ; 5 neg)
% 0.17/0.62 % Maximal clause size : 4 ( 1 avg)
% 0.17/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.17/0.62 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.17/0.62 % Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% 0.17/0.62 % Number of variables : 6 ( 0 sgn)
% 0.17/0.62 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.17/0.62
% 0.17/0.62 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.17/0.62 % of which only a small selection are required for the refutation.
% 0.17/0.62 % The mission is to find those few axioms, after which a refutation
% 0.17/0.62 % can be quite easily found. This version has only the necessary
% 0.17/0.62 % axioms.
% 0.17/0.62 %------------------------------------------------------------------------------
% 0.17/0.62 cnf(cls_conjecture_0,negated_conjecture,
% 0.17/0.62 c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ).
% 0.17/0.62
% 0.17/0.62 cnf(cls_conjecture_1,negated_conjecture,
% 0.17/0.62 c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)) ).
% 0.17/0.62
% 0.17/0.62 cnf(cls_conjecture_2,negated_conjecture,
% 0.17/0.62 v_a != v_b ).
% 0.17/0.62
% 0.17/0.62 cnf(cls_Relation_Oantisym__def_0,axiom,
% 0.17/0.62 ( ~ c_Relation_Oantisym(V_r,T_a)
% 0.17/0.62 | ~ c_in(c_Pair(V_V,V_U,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.17/0.62 | ~ c_in(c_Pair(V_U,V_V,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.17/0.62 | V_U = V_V ) ).
% 0.17/0.62
% 0.17/0.62 cnf(cls_Tarski_OPartialOrder__iff_1,axiom,
% 0.17/0.62 ( ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))
% 0.17/0.62 | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ) ).
% 0.17/0.62
% 0.17/0.62 cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
% 0.17/0.62 c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ).
% 0.17/0.62
% 0.17/0.62 cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
% 0.17/0.62 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ).
% 0.17/0.62
% 0.17/0.62 %------------------------------------------------------------------------------
% 0.17/0.62 %-------------------------------------------
% 0.17/0.62 % Proof found
% 0.17/0.62 % SZS status Theorem for theBenchmark
% 0.17/0.62 % SZS output start Proof
% 0.17/0.62 %ClaNum:26(EqnAxiom:19)
% 0.17/0.62 %VarNum:23(SingletonVarNum:6)
% 0.17/0.62 %MaxLitNum:4
% 0.17/0.62 %MaxfuncDepth:1
% 0.17/0.62 %SharedTerms:17
% 0.17/0.62 %goalClause: 22 23 24
% 0.17/0.62 %singleGoalClaCount:3
% 0.17/0.62 [24]~E(a10,a8)
% 0.17/0.62 [20]E(f3(a1,a2,a6),a11)
% 0.17/0.62 [21]P1(a1,a4,f7(a2,a6))
% 0.17/0.62 [22]P1(f5(a8,a10,a2,a2),a11,f9(a2,a2))
% 0.17/0.62 [23]P1(f5(a10,a8,a2,a2),a11,f9(a2,a2))
% 0.17/0.62 [25]P2(f3(x251,x252,a6),x252)+~P1(x251,a4,f7(x252,a6))
% 0.17/0.62 [26]E(x261,x262)+~P2(x263,x264)+~P1(f5(x262,x261,x264,x264),x263,f9(x264,x264))+~P1(f5(x261,x262,x264,x264),x263,f9(x264,x264))
% 0.17/0.62 %EqnAxiom
% 0.17/0.62 [1]E(x11,x11)
% 0.17/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.17/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.17/0.62 [4]~E(x41,x42)+E(f3(x41,x43,x44),f3(x42,x43,x44))
% 0.17/0.62 [5]~E(x51,x52)+E(f3(x53,x51,x54),f3(x53,x52,x54))
% 0.17/0.62 [6]~E(x61,x62)+E(f3(x63,x64,x61),f3(x63,x64,x62))
% 0.17/0.62 [7]~E(x71,x72)+E(f7(x71,x73),f7(x72,x73))
% 0.17/0.62 [8]~E(x81,x82)+E(f7(x83,x81),f7(x83,x82))
% 0.17/0.62 [9]~E(x91,x92)+E(f5(x91,x93,x94,x95),f5(x92,x93,x94,x95))
% 0.17/0.62 [10]~E(x101,x102)+E(f5(x103,x101,x104,x105),f5(x103,x102,x104,x105))
% 0.17/0.62 [11]~E(x111,x112)+E(f5(x113,x114,x111,x115),f5(x113,x114,x112,x115))
% 0.17/0.62 [12]~E(x121,x122)+E(f5(x123,x124,x125,x121),f5(x123,x124,x125,x122))
% 0.17/0.62 [13]~E(x131,x132)+E(f9(x131,x133),f9(x132,x133))
% 0.17/0.62 [14]~E(x141,x142)+E(f9(x143,x141),f9(x143,x142))
% 0.17/0.62 [15]P1(x152,x153,x154)+~E(x151,x152)+~P1(x151,x153,x154)
% 0.17/0.62 [16]P1(x163,x162,x164)+~E(x161,x162)+~P1(x163,x161,x164)
% 0.17/0.62 [17]P1(x173,x174,x172)+~E(x171,x172)+~P1(x173,x174,x171)
% 0.17/0.62 [18]P2(x182,x183)+~E(x181,x182)+~P2(x181,x183)
% 0.17/0.62 [19]P2(x193,x192)+~E(x191,x192)+~P2(x193,x191)
% 0.17/0.62
% 0.17/0.62 %-------------------------------------------
% 0.17/0.62 cnf(32,plain,
% 0.17/0.62 ($false),
% 0.17/0.62 inference(scs_inference,[],[22,24,21,20,23,2,25,18,16,26]),
% 0.17/0.62 ['proof']).
% 0.17/0.62 % SZS output end Proof
% 0.17/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------