%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWV006-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 : Mon Jun 24 16:45:27 EDT 2024
% Result : Unsatisfiable 0.57s 0.62s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV006-1 : TPTP v8.2.0. Released v1.0.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 14:39:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.57/0.61 %-------------------------------------------
% 0.57/0.61 % File :CSE---1.7
% 0.57/0.61 % Problem :theBenchmark
% 0.57/0.61 % Transform :cnf
% 0.57/0.61 % Format :tptp:raw
% 0.57/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.57/0.61
% 0.57/0.61 % Result :Theorem 0.020000s
% 0.57/0.61 % Output :CNFRefutation 0.020000s
% 0.57/0.61 %-------------------------------------------
% 0.57/0.61 %--------------------------------------------------------------------------
% 0.57/0.61 % File : SWV006-1 : TPTP v8.2.0. Released v1.0.0.
% 0.57/0.61 % Domain : Software Verification
% 0.57/0.61 % Problem : E5
% 0.57/0.61 % Version : Especial.
% 0.57/0.61 % English :
% 0.57/0.61
% 0.57/0.61 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.57/0.61 % Source : [SETHEO]
% 0.57/0.61 % Names : E5 [MOW76]
% 0.57/0.61 % : v5.lop [SETHEO]
% 0.57/0.61
% 0.57/0.61 % Status : Unsatisfiable
% 0.57/0.61 % Rating : 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v5.4.0, 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, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.08 v2.4.0, 0.00 v2.1.0, 0.00 v2.0.0
% 0.57/0.61 % Syntax : Number of clauses : 20 ( 10 unt; 2 nHn; 15 RR)
% 0.57/0.61 % Number of literals : 38 ( 9 equ; 20 neg)
% 0.57/0.61 % Maximal clause size : 4 ( 1 avg)
% 0.57/0.61 % Maximal term depth : 3 ( 1 avg)
% 0.57/0.61 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.57/0.61 % Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% 0.57/0.61 % Number of variables : 25 ( 0 sgn)
% 0.57/0.61 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.57/0.61
% 0.57/0.61 % Comments : This problem was contributed to [MOW76] in private
% 0.57/0.61 % correspondance from G. Ernst. The axioms are incomplete.
% 0.57/0.61 %--------------------------------------------------------------------------
% 0.57/0.61 %----Include axioms for this program verification
% 0.57/0.61 include('Axioms/SWV001-0.ax').
% 0.57/0.61 %--------------------------------------------------------------------------
% 0.57/0.61 cnf(clause_1,negated_conjecture,
% 0.57/0.61 ~ less_than(n,m) ).
% 0.57/0.61
% 0.57/0.61 cnf(clause_2,negated_conjecture,
% 0.57/0.62 less_than(i,m) ).
% 0.57/0.62
% 0.57/0.62 cnf(clause_3,negated_conjecture,
% 0.57/0.62 less_than(i,n) ).
% 0.57/0.62
% 0.57/0.62 cnf(clause_4,negated_conjecture,
% 0.57/0.62 ~ less_than(i,one) ).
% 0.57/0.62
% 0.57/0.62 cnf(clause_5,negated_conjecture,
% 0.57/0.62 less_than(a(i),a(m)) ).
% 0.57/0.62
% 0.57/0.62 cnf(clause_6,negated_conjecture,
% 0.57/0.62 ( less_than(X,i)
% 0.57/0.62 | ~ less_than(X,successor(n))
% 0.57/0.62 | ~ less_than(a(X),a(m)) ) ).
% 0.57/0.62
% 0.57/0.62 cnf(clause_7,negated_conjecture,
% 0.57/0.62 ( less_than(X,i)
% 0.57/0.62 | less_than(n,X)
% 0.57/0.62 | ~ less_than(one,i)
% 0.57/0.62 | ~ less_than(a(X),a(predecessor(i))) ) ).
% 0.57/0.62
% 0.57/0.62 cnf(clause_8,negated_conjecture,
% 0.57/0.62 ( ~ less_than(one,X)
% 0.57/0.62 | ~ less_than(X,i)
% 0.57/0.62 | ~ less_than(a(X),a(predecessor(X))) ) ).
% 0.57/0.62
% 0.57/0.62 %--------------------------------------------------------------------------
% 0.57/0.62 %-------------------------------------------
% 0.57/0.62 % Proof found
% 0.57/0.62 % SZS status Theorem for theBenchmark
% 0.57/0.62 % SZS output start Proof
% 0.57/0.62 %ClaNum:26(EqnAxiom:8)
% 0.57/0.62 %VarNum:44(SingletonVarNum:19)
% 0.57/0.62 %MaxLitNum:4
% 0.57/0.62 %MaxfuncDepth:2
% 0.57/0.62 %SharedTerms:15
% 0.57/0.62 %goalClause: 11 12 15 16 17 24 25 26
% 0.57/0.62 %singleGoalClaCount:5
% 0.57/0.62 [11]P1(a2,a4)
% 0.57/0.62 [12]P1(a2,a5)
% 0.57/0.62 [16]~P1(a4,a5)
% 0.57/0.62 [17]~P1(a2,a6)
% 0.57/0.62 [15]P1(f3(a2),f3(a5))
% 0.57/0.62 [18]~P1(x181,x181)
% 0.57/0.62 [13]P1(x131,f7(x131))
% 0.57/0.62 [14]P1(f1(x141),x141)
% 0.57/0.62 [9]E(f7(f1(x91)),x91)
% 0.57/0.62 [10]E(f1(f7(x101)),x101)
% 0.57/0.62 [22]~P1(x222,x221)+~P1(x221,x222)
% 0.57/0.62 [19]E(x191,x192)+~E(f7(x191),f7(x192))
% 0.57/0.62 [20]E(x201,x202)+~E(f1(x201),f1(x202))
% 0.57/0.62 [24]P1(x241,a2)+~P1(x241,f7(a4))+~P1(f3(x241),f3(a5))
% 0.57/0.62 [26]~P1(a6,x261)+~P1(x261,a2)+~P1(f3(x261),f3(f1(x261)))
% 0.57/0.62 [21]P1(x212,x211)+P1(x211,x212)+E(x211,x212)
% 0.57/0.62 [23]~P1(x231,x233)+P1(x231,x232)+~P1(x233,x232)
% 0.57/0.62 [25]P1(a4,x251)+P1(x251,a2)+~P1(a6,a2)+~P1(f3(x251),f3(f1(a2)))
% 0.57/0.62 %EqnAxiom
% 0.57/0.62 [1]E(x11,x11)
% 0.57/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.57/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.57/0.62 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.57/0.62 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 0.57/0.62 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 0.57/0.62 [7]P1(x72,x73)+~E(x71,x72)+~P1(x71,x73)
% 0.57/0.62 [8]P1(x83,x82)+~E(x81,x82)+~P1(x83,x81)
% 0.57/0.62
% 0.57/0.62 %-------------------------------------------
% 0.57/0.62 cnf(31,plain,
% 0.57/0.62 (E(x311,f7(f1(x311)))),
% 0.57/0.62 inference(scs_inference,[],[11,9,22,2])).
% 0.57/0.62 cnf(35,plain,
% 0.57/0.62 (P1(f1(a2),a4)),
% 0.57/0.62 inference(scs_inference,[],[11,13,14,9,22,2,24,23])).
% 0.57/0.62 cnf(50,plain,
% 0.57/0.62 (P1(f1(a2),a5)),
% 0.57/0.62 inference(scs_inference,[],[12,31,14,19,22,23])).
% 0.57/0.62 cnf(65,plain,
% 0.57/0.62 (P1(f1(f3(a2)),f3(a5))),
% 0.57/0.62 inference(scs_inference,[],[15,14,22,23])).
% 0.57/0.62 cnf(82,plain,
% 0.57/0.62 (P1(f1(f1(a2)),a5)),
% 0.57/0.62 inference(scs_inference,[],[65,50,14,22,23])).
% 0.57/0.62 cnf(90,plain,
% 0.57/0.62 (P1(f1(f1(a2)),a4)),
% 0.57/0.62 inference(scs_inference,[],[82,35,14,22,23])).
% 0.57/0.62 cnf(101,plain,
% 0.57/0.62 ($false),
% 0.57/0.62 inference(scs_inference,[],[11,15,90,13,18,22,23,24]),
% 0.57/0.62 ['proof']).
% 0.57/0.62 % SZS output end Proof
% 0.57/0.62 % Total time :0.020000s
%------------------------------------------------------------------------------