TSTP Solution File: SWV005-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n011.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 21:31:32 EDT 2023
% Result : Unsatisfiable 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n011.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 : Tue Aug 29 10:45:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 % File :CSE---1.6
% 0.20/0.60 % Problem :theBenchmark
% 0.20/0.60 % Transform :cnf
% 0.20/0.60 % Format :tptp:raw
% 0.20/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.60
% 0.20/0.60 % Result :Theorem 0.000000s
% 0.20/0.60 % Output :CNFRefutation 0.000000s
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 %--------------------------------------------------------------------------
% 0.20/0.60 % File : SWV005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.60 % Domain : Software Verification
% 0.20/0.60 % Problem : E4
% 0.20/0.60 % Version : Especial.
% 0.20/0.60 % English :
% 0.20/0.60
% 0.20/0.60 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.20/0.60 % Source : [SETHEO]
% 0.20/0.60 % Names : E4 [MOW76]
% 0.20/0.60 % : v4.lop [SETHEO]
% 0.20/0.60
% 0.20/0.60 % Status : Unsatisfiable
% 0.20/0.60 % Rating : 0.05 v8.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v5.5.0, 0.05 v5.3.0, 0.06 v5.0.0, 0.00 v4.0.1, 0.09 v4.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.00 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.1.0, 0.00 v2.0.0
% 0.20/0.60 % Syntax : Number of clauses : 21 ( 11 unt; 2 nHn; 16 RR)
% 0.20/0.61 % Number of literals : 39 ( 9 equ; 21 neg)
% 0.20/0.61 % Maximal clause size : 4 ( 1 avg)
% 0.20/0.61 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.61 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.20/0.61 % Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% 0.20/0.61 % Number of variables : 25 ( 0 sgn)
% 0.20/0.61 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.20/0.61
% 0.20/0.61 % Comments : This problem was contributed to [MOW76] in private
% 0.20/0.61 % correspondance from G. Ernst. The axioms are incomplete.
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 %----Include axioms for this program verification
% 0.20/0.61 include('Axioms/SWV001-0.ax').
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 cnf(clause_1,negated_conjecture,
% 0.20/0.61 ~ less_than(n,k) ).
% 0.20/0.61
% 0.20/0.61 cnf(clause_2,negated_conjecture,
% 0.20/0.61 ~ less_than(k,l) ).
% 0.20/0.61
% 0.20/0.61 cnf(clause_3,negated_conjecture,
% 0.20/0.61 ~ less_than(k,i) ).
% 0.20/0.61
% 0.20/0.61 cnf(clause_4,negated_conjecture,
% 0.20/0.61 less_than(l,n) ).
% 0.20/0.61
% 0.20/0.61 cnf(clause_5,negated_conjecture,
% 0.20/0.61 less_than(one,l) ).
% 0.20/0.61
% 0.20/0.61 cnf(clause_6,negated_conjecture,
% 0.20/0.61 less_than(a(k),a(predecessor(l))) ).
% 0.20/0.61
% 0.20/0.61 cnf(clause_7,negated_conjecture,
% 0.20/0.61 ( less_than(X,l)
% 0.20/0.61 | ~ less_than(X,successor(n))
% 0.20/0.61 | ~ less_than(a(X),a(k)) ) ).
% 0.20/0.61
% 0.20/0.61 cnf(clause_8,negated_conjecture,
% 0.20/0.61 ( less_than(X,l)
% 0.20/0.61 | less_than(n,X)
% 0.20/0.61 | ~ less_than(one,l)
% 0.20/0.61 | ~ less_than(a(X),a(predecessor(l))) ) ).
% 0.20/0.61
% 0.20/0.61 cnf(clause_9,negated_conjecture,
% 0.20/0.61 ( ~ less_than(one,X)
% 0.20/0.61 | ~ less_than(X,l)
% 0.20/0.61 | ~ less_than(a(X),a(predecessor(X))) ) ).
% 0.20/0.61
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark
% 0.20/0.61 % SZS output start Proof
% 0.20/0.61 %ClaNum:27(EqnAxiom:8)
% 0.20/0.61 %VarNum:44(SingletonVarNum:19)
% 0.20/0.61 %MaxLitNum:4
% 0.20/0.61 %MaxfuncDepth:2
% 0.20/0.61 %SharedTerms:16
% 0.20/0.61 %goalClause: 11 12 15 16 17 18 25 26 27
% 0.20/0.61 %singleGoalClaCount:6
% 0.20/0.61 [11]P1(a2,a6)
% 0.20/0.61 [12]P1(a7,a2)
% 0.20/0.61 [16]~P1(a6,a3)
% 0.20/0.61 [17]~P1(a3,a2)
% 0.20/0.61 [18]~P1(a3,a5)
% 0.20/0.61 [15]P1(f4(a3),f4(f1(a2)))
% 0.20/0.61 [19]~P1(x191,x191)
% 0.20/0.61 [13]P1(x131,f8(x131))
% 0.20/0.61 [14]P1(f1(x141),x141)
% 0.20/0.61 [9]E(f8(f1(x91)),x91)
% 0.20/0.61 [10]E(f1(f8(x101)),x101)
% 0.20/0.61 [23]~P1(x232,x231)+~P1(x231,x232)
% 0.20/0.61 [20]E(x201,x202)+~E(f8(x201),f8(x202))
% 0.20/0.61 [21]E(x211,x212)+~E(f1(x211),f1(x212))
% 0.20/0.61 [25]P1(x251,a2)+~P1(x251,f8(a6))+~P1(f4(x251),f4(a3))
% 0.20/0.61 [27]~P1(a7,x271)+~P1(x271,a2)+~P1(f4(x271),f4(f1(x271)))
% 0.20/0.61 [22]P1(x222,x221)+P1(x221,x222)+E(x221,x222)
% 0.20/0.61 [24]~P1(x241,x243)+P1(x241,x242)+~P1(x243,x242)
% 0.20/0.61 [26]P1(a6,x261)+P1(x261,a2)+~P1(a7,a2)+~P1(f4(x261),f4(f1(a2)))
% 0.20/0.61 %EqnAxiom
% 0.20/0.61 [1]E(x11,x11)
% 0.20/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.61 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.20/0.61 [5]~E(x51,x52)+E(f8(x51),f8(x52))
% 0.20/0.61 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 0.20/0.61 [7]P1(x72,x73)+~E(x71,x72)+~P1(x71,x73)
% 0.20/0.61 [8]P1(x83,x82)+~E(x81,x82)+~P1(x83,x81)
% 0.20/0.61
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 cnf(34,plain,
% 0.20/0.61 (~P1(x341,x341)),
% 0.20/0.61 inference(rename_variables,[],[19])).
% 0.20/0.61 cnf(44,plain,
% 0.20/0.61 ($false),
% 0.20/0.61 inference(scs_inference,[],[11,19,34,12,16,17,15,13,9,10,2,23,20,8,7,3,24,25,26]),
% 0.20/0.61 ['proof']).
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time :0.000000s
%------------------------------------------------------------------------------