TSTP Solution File: LAT278-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LAT278-2 : 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 : n001.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 05:57:59 EDT 2023
% Result : Unsatisfiable 0.20s 0.72s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT278-2 : 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 : n001.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 08:27:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.62 start to proof:theBenchmark
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 % File :CSE---1.6
% 0.20/0.71 % Problem :theBenchmark
% 0.20/0.71 % Transform :cnf
% 0.20/0.71 % Format :tptp:raw
% 0.20/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.71
% 0.20/0.71 % Result :Theorem 0.000000s
% 0.20/0.71 % Output :CNFRefutation 0.000000s
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 %------------------------------------------------------------------------------
% 0.20/0.71 % File : LAT278-2 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.71 % Domain : Analysis
% 0.20/0.71 % Problem : Problem about Tarski's fixed point theorem
% 0.20/0.71 % Version : [Pau06] axioms : Reduced > Especial.
% 0.20/0.71 % English :
% 0.20/0.71
% 0.20/0.71 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.20/0.71 % Source : [Pau06]
% 0.20/0.71 % Names :
% 0.20/0.71
% 0.20/0.71 % Status : Unsatisfiable
% 0.20/0.71 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.14 v3.2.0
% 0.20/0.71 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% 0.20/0.71 % Number of literals : 6 ( 2 equ; 2 neg)
% 0.20/0.71 % Maximal clause size : 2 ( 1 avg)
% 0.20/0.71 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.71 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.20/0.71 % Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% 0.20/0.71 % Number of variables : 2 ( 0 sgn)
% 0.20/0.71 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.20/0.71
% 0.20/0.71 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.20/0.71 % of which only a small selection are required for the refutation.
% 0.20/0.72 % The mission is to find those few axioms, after which a refutation
% 0.20/0.72 % can be quite easily found. This version has only the necessary
% 0.20/0.72 % axioms.
% 0.20/0.72 %------------------------------------------------------------------------------
% 0.20/0.72 cnf(cls_conjecture_0,negated_conjecture,
% 0.20/0.72 ~ c_Relation_Orefl(v_A,v_r,t_a) ).
% 0.20/0.72
% 0.20/0.72 cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
% 0.20/0.72 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ).
% 0.20/0.72
% 0.20/0.72 cnf(cls_Tarski_OPartialOrder__iff_0,axiom,
% 0.20/0.72 ( ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))
% 0.20/0.72 | c_Relation_Orefl(c_Tarski_Opotype_Opset(V_P,T_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ) ).
% 0.20/0.72
% 0.20/0.72 cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
% 0.20/0.72 c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ).
% 0.20/0.72
% 0.20/0.72 cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
% 0.20/0.72 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ).
% 0.20/0.72
% 0.20/0.72 %------------------------------------------------------------------------------
% 0.20/0.72 %-------------------------------------------
% 0.20/0.72 % Proof found
% 0.20/0.72 % SZS status Theorem for theBenchmark
% 0.20/0.72 % SZS output start Proof
% 0.20/0.72 %ClaNum:22(EqnAxiom:17)
% 0.20/0.72 %VarNum:7(SingletonVarNum:2)
% 0.20/0.72 %MaxLitNum:2
% 0.20/0.72 %MaxfuncDepth:1
% 0.20/0.72 %SharedTerms:13
% 0.20/0.72 %goalClause: 21
% 0.20/0.72 %singleGoalClaCount:1
% 0.20/0.72 [21]~P2(a7,a9,a2)
% 0.20/0.72 [18]E(f3(a1,a2,a6),a7)
% 0.20/0.72 [19]E(f4(a1,a2,a6),a9)
% 0.20/0.72 [20]P1(a1,a5,f8(a2,a6))
% 0.20/0.72 [22]P2(f3(x221,x222,a6),f4(x221,x222,a6),x222)+~P1(x221,a5,f8(x222,a6))
% 0.20/0.72 %EqnAxiom
% 0.20/0.72 [1]E(x11,x11)
% 0.20/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.72 [4]~E(x41,x42)+E(f3(x41,x43,x44),f3(x42,x43,x44))
% 0.20/0.72 [5]~E(x51,x52)+E(f3(x53,x51,x54),f3(x53,x52,x54))
% 0.20/0.72 [6]~E(x61,x62)+E(f3(x63,x64,x61),f3(x63,x64,x62))
% 0.20/0.72 [7]~E(x71,x72)+E(f4(x71,x73,x74),f4(x72,x73,x74))
% 0.20/0.72 [8]~E(x81,x82)+E(f4(x83,x81,x84),f4(x83,x82,x84))
% 0.20/0.72 [9]~E(x91,x92)+E(f4(x93,x94,x91),f4(x93,x94,x92))
% 0.20/0.72 [10]~E(x101,x102)+E(f8(x101,x103),f8(x102,x103))
% 0.20/0.72 [11]~E(x111,x112)+E(f8(x113,x111),f8(x113,x112))
% 0.20/0.72 [12]P1(x122,x123,x124)+~E(x121,x122)+~P1(x121,x123,x124)
% 0.20/0.72 [13]P1(x133,x132,x134)+~E(x131,x132)+~P1(x133,x131,x134)
% 0.20/0.72 [14]P1(x143,x144,x142)+~E(x141,x142)+~P1(x143,x144,x141)
% 0.20/0.72 [15]P2(x152,x153,x154)+~E(x151,x152)+~P2(x151,x153,x154)
% 0.20/0.72 [16]P2(x163,x162,x164)+~E(x161,x162)+~P2(x163,x161,x164)
% 0.20/0.72 [17]P2(x173,x174,x172)+~E(x171,x172)+~P2(x173,x174,x171)
% 0.20/0.72
% 0.20/0.72 %-------------------------------------------
% 0.20/0.72 cnf(27,plain,
% 0.20/0.72 (P2(a7,f4(a1,a2,a6),a2)),
% 0.20/0.72 inference(scs_inference,[],[20,18,19,2,22,16,15])).
% 0.20/0.72 cnf(43,plain,
% 0.20/0.72 ($false),
% 0.20/0.72 inference(scs_inference,[],[21,19,27,16]),
% 0.20/0.72 ['proof']).
% 0.20/0.72 % SZS output end Proof
% 0.20/0.72 % Total time :0.000000s
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