TSTP Solution File: SWV242-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV242-2 : 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 : n025.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 21:32:24 EDT 2023
% Result : Unsatisfiable 0.19s 0.64s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV242-2 : 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
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Tue Aug 29 09:18:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % File :CSE---1.6
% 0.19/0.63 % Problem :theBenchmark
% 0.19/0.63 % Transform :cnf
% 0.19/0.63 % Format :tptp:raw
% 0.19/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.63
% 0.19/0.63 % Result :Theorem 0.020000s
% 0.19/0.63 % Output :CNFRefutation 0.020000s
% 0.19/0.63 %-------------------------------------------
% 0.19/0.64 %------------------------------------------------------------------------------
% 0.19/0.64 % File : SWV242-2 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.64 % Domain : Software Verification (Security)
% 0.19/0.64 % Problem : Cryptographic protocol problem for messages
% 0.19/0.64 % Version : [Pau06] axioms : Reduced > Especial.
% 0.19/0.64 % English :
% 0.19/0.64
% 0.19/0.64 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.19/0.64 % Source : [Pau06]
% 0.19/0.64 % Names :
% 0.19/0.64
% 0.19/0.64 % Status : Unsatisfiable
% 0.19/0.64 % Rating : 0.00 v5.3.0, 0.05 v5.2.0, 0.00 v3.2.0
% 0.19/0.64 % Syntax : Number of clauses : 7 ( 4 unt; 0 nHn; 5 RR)
% 0.19/0.64 % Number of literals : 11 ( 0 equ; 5 neg)
% 0.19/0.64 % Maximal clause size : 3 ( 1 avg)
% 0.19/0.64 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.64 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 0.19/0.64 % Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% 0.19/0.64 % Number of variables : 12 ( 2 sgn)
% 0.19/0.64 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.19/0.64
% 0.19/0.64 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.19/0.64 % of which only a small selection are required for the refutation.
% 0.19/0.64 % The mission is to find those few axioms, after which a refutation
% 0.19/0.64 % can be quite easily found. This version has only the necessary
% 0.19/0.64 % axioms.
% 0.19/0.64 %------------------------------------------------------------------------------
% 0.19/0.64 cnf(cls_conjecture_0,negated_conjecture,
% 0.19/0.64 c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)) ).
% 0.19/0.64
% 0.19/0.64 cnf(cls_conjecture_1,negated_conjecture,
% 0.19/0.64 c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)) ).
% 0.19/0.64
% 0.19/0.64 cnf(cls_conjecture_2,negated_conjecture,
% 0.19/0.64 ( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
% 0.19/0.64 | ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ).
% 0.19/0.64
% 0.19/0.64 cnf(cls_Message_Oanalz__mono_0,axiom,
% 0.19/0.64 ( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
% 0.19/0.64 | c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) ) ).
% 0.19/0.64
% 0.19/0.64 cnf(cls_Set_OUn__upper1_0,axiom,
% 0.19/0.64 c_lessequals(V_A,c_union(V_A,V_B,T_a),tc_set(T_a)) ).
% 0.19/0.64
% 0.19/0.64 cnf(cls_Set_OUn__upper2_0,axiom,
% 0.19/0.64 c_lessequals(V_B,c_union(V_A,V_B,T_a),tc_set(T_a)) ).
% 0.19/0.64
% 0.19/0.64 cnf(cls_Set_Osubset__trans_0,axiom,
% 0.19/0.64 ( ~ c_lessequals(V_B,V_C,tc_set(T_a))
% 0.19/0.64 | ~ c_lessequals(V_A,V_B,tc_set(T_a))
% 0.19/0.64 | c_lessequals(V_A,V_C,tc_set(T_a)) ) ).
% 0.19/0.64
% 0.19/0.64 %------------------------------------------------------------------------------
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % Proof found
% 0.19/0.64 % SZS status Theorem for theBenchmark
% 0.19/0.64 % SZS output start Proof
% 0.19/0.64 %ClaNum:7(EqnAxiom:0)
% 0.19/0.64 %VarNum:23(SingletonVarNum:12)
% 0.19/0.64 %MaxLitNum:3
% 0.19/0.64 %MaxfuncDepth:2
% 0.19/0.64 %SharedTerms:14
% 0.19/0.64 %goalClause: 1 2 7
% 0.19/0.64 %singleGoalClaCount:2
% 0.19/0.64 [1]P1(a1,f2(a6),f5(a3))
% 0.19/0.64 [2]P1(a7,f2(a8),f5(a3))
% 0.19/0.64 [3]P1(x31,f4(x32,x31,x33),f5(x33))
% 0.19/0.64 [4]P1(x41,f4(x41,x42,x43),f5(x43))
% 0.19/0.64 [7]~P1(a1,f2(f4(a6,a8,a3)),f5(a3))+~P1(a7,f2(f4(a6,a8,a3)),f5(a3))
% 0.19/0.64 [5]~P1(x51,x52,f5(a3))+P1(f2(x51),f2(x52),f5(a3))
% 0.19/0.64 [6]P1(x61,x62,f5(x63))+~P1(x64,x62,f5(x63))+~P1(x61,x64,f5(x63))
% 0.19/0.64 %EqnAxiom
% 0.19/0.64
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 cnf(12,plain,
% 0.19/0.64 (P1(a1,f4(f2(a6),x121,a3),f5(a3))),
% 0.19/0.64 inference(scs_inference,[],[1,4,6])).
% 0.19/0.64 cnf(18,plain,
% 0.19/0.64 (P1(f2(x181),f2(f4(x182,x181,a3)),f5(a3))),
% 0.19/0.64 inference(scs_inference,[],[3,5])).
% 0.19/0.64 cnf(34,plain,
% 0.19/0.64 (P1(a7,f2(f4(x341,a8,a3)),f5(a3))),
% 0.19/0.64 inference(scs_inference,[],[18,2,6])).
% 0.19/0.64 cnf(37,plain,
% 0.19/0.64 (~P1(a1,f2(f4(a6,a8,a3)),f5(a3))),
% 0.19/0.64 inference(scs_inference,[],[34,7])).
% 0.19/0.64 cnf(50,plain,
% 0.19/0.64 (P1(f2(x501),f2(f4(x501,x502,a3)),f5(a3))),
% 0.19/0.64 inference(scs_inference,[],[12,4,6,5])).
% 0.19/0.64 cnf(63,plain,
% 0.19/0.64 ($false),
% 0.19/0.64 inference(scs_inference,[],[50,37,1,6]),
% 0.19/0.64 ['proof']).
% 0.19/0.64 % SZS output end Proof
% 0.19/0.64 % Total time :0.020000s
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