TSTP Solution File: SWV254-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV254-2 : 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 : 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 21:32:29 EDT 2023
% Result : Unsatisfiable 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV254-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 09:12:06 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % File :CSE---1.6
% 0.20/0.64 % Problem :theBenchmark
% 0.20/0.64 % Transform :cnf
% 0.20/0.64 % Format :tptp:raw
% 0.20/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.64
% 0.20/0.64 % Result :Theorem 0.000000s
% 0.20/0.64 % Output :CNFRefutation 0.000000s
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 % File : SWV254-2 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.64 % Domain : Software Verification (Security)
% 0.20/0.64 % Problem : Cryptographic protocol problem for messages
% 0.20/0.64 % Version : [Pau06] axioms : Reduced > Especial.
% 0.20/0.64 % English :
% 0.20/0.64
% 0.20/0.64 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.20/0.64 % Source : [Pau06]
% 0.20/0.64 % Names :
% 0.20/0.64
% 0.20/0.64 % Status : Unsatisfiable
% 0.20/0.64 % 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, 0.43 v3.2.0
% 0.20/0.64 % Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 3 RR)
% 0.20/0.64 % Number of literals : 8 ( 4 equ; 3 neg)
% 0.20/0.64 % Maximal clause size : 3 ( 1 avg)
% 0.20/0.64 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.64 % Number of predicates : 3 ( 2 usr; 0 prp; 1-3 aty)
% 0.20/0.64 % Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% 0.20/0.64 % Number of variables : 9 ( 4 sgn)
% 0.20/0.64 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.20/0.64
% 0.20/0.64 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.20/0.64 % of which only a small selection are required for the refutation.
% 0.20/0.64 % The mission is to find those few axioms, after which a refutation
% 0.20/0.64 % can be quite easily found. This version has only the necessary
% 0.20/0.64 % axioms.
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 cnf(cls_SetInterval_OatLeastLessThan__empty_0,axiom,
% 0.20/0.64 ( ~ class_Orderings_Oorder(T_a)
% 0.20/0.64 | ~ c_lessequals(V_n,V_m,T_a)
% 0.20/0.64 | c_SetInterval_OatLeastLessThan(V_m,V_n,T_a) = c_emptyset ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_SetInterval_OatLeastLessThan__singleton_0,axiom,
% 0.20/0.64 c_SetInterval_OatLeastLessThan(V_m,c_Suc(V_m),tc_nat) = c_insert(V_m,c_emptyset,tc_nat) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_Set_Oempty__not__insert_0,axiom,
% 0.20/0.64 c_emptyset != c_insert(V_a,V_A,T_a) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_conjecture_0,negated_conjecture,
% 0.20/0.64 c_lessequals(V_U,v_x(V_U),tc_nat) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_conjecture_1,negated_conjecture,
% 0.20/0.64 v_x(V_U) = v_nat ).
% 0.20/0.64
% 0.20/0.64 cnf(clsarity_nat_3,axiom,
% 0.20/0.64 class_Orderings_Oorder(tc_nat) ).
% 0.20/0.64
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark
% 0.20/0.64 % SZS output start Proof
% 0.20/0.64 %ClaNum:19(EqnAxiom:14)
% 0.20/0.64 %VarNum:14(SingletonVarNum:8)
% 0.20/0.64 %MaxLitNum:3
% 0.20/0.64 %MaxfuncDepth:2
% 0.20/0.64 %SharedTerms:4
% 0.20/0.64 %goalClause: 16
% 0.20/0.64 %singleGoalClaCount:1
% 0.20/0.64 [15]P1(a1)
% 0.20/0.64 [16]P2(x161,a6,a1)
% 0.20/0.64 [17]E(f3(x171,f2(x171),a1),f5(x171,a4,a1))
% 0.20/0.64 [18]~E(f5(x181,x182,x183),a4)
% 0.20/0.64 [19]~P1(x193)+~P2(x192,x191,x193)+E(f3(x191,x192,x193),a4)
% 0.20/0.64 %EqnAxiom
% 0.20/0.64 [1]E(x11,x11)
% 0.20/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.64 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.20/0.64 [5]~E(x51,x52)+E(f3(x51,x53,x54),f3(x52,x53,x54))
% 0.20/0.64 [6]~E(x61,x62)+E(f3(x63,x61,x64),f3(x63,x62,x64))
% 0.20/0.64 [7]~E(x71,x72)+E(f3(x73,x74,x71),f3(x73,x74,x72))
% 0.20/0.64 [8]~E(x81,x82)+E(f5(x81,x83,x84),f5(x82,x83,x84))
% 0.20/0.64 [9]~E(x91,x92)+E(f5(x93,x91,x94),f5(x93,x92,x94))
% 0.20/0.64 [10]~E(x101,x102)+E(f5(x103,x104,x101),f5(x103,x104,x102))
% 0.20/0.64 [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 0.20/0.64 [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124)
% 0.20/0.64 [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134)
% 0.20/0.64 [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141)
% 0.20/0.64
% 0.20/0.65 %-------------------------------------------
% 0.20/0.65 cnf(22,plain,
% 0.20/0.65 (~E(f3(x221,f2(x221),a1),a4)),
% 0.20/0.65 inference(scs_inference,[],[15,18,17,2,11,3])).
% 0.20/0.65 cnf(30,plain,
% 0.20/0.65 ($false),
% 0.20/0.65 inference(scs_inference,[],[16,15,22,19]),
% 0.20/0.65 ['proof']).
% 0.20/0.65 % SZS output end Proof
% 0.20/0.65 % Total time :0.000000s
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