%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWV002-1 : 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 : n018.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 16:45:26 EDT 2024
% Result : Unsatisfiable 0.59s 0.65s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWV002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Jun 20 13:38:24 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.53/0.61 start to proof:theBenchmark
% 0.59/0.65 %-------------------------------------------
% 0.59/0.65 % File :CSE---1.7
% 0.59/0.65 % Problem :theBenchmark
% 0.59/0.65 % Transform :cnf
% 0.59/0.65 % Format :tptp:raw
% 0.59/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.59/0.65
% 0.59/0.65 % Result :Theorem 0.000000s
% 0.59/0.65 % Output :CNFRefutation 0.000000s
% 0.59/0.65 %-------------------------------------------
% 0.59/0.65 %--------------------------------------------------------------------------
% 0.59/0.65 % File : SWV002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.59/0.65 % Domain : Software Verification
% 0.59/0.65 % Problem : E1
% 0.59/0.65 % Version : Especial.
% 0.59/0.65 % English :
% 0.59/0.65
% 0.59/0.65 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.59/0.65 % Source : [SETHEO]
% 0.59/0.65 % Names : E1 [MOW76]
% 0.59/0.65 % : v1.lop [SETHEO]
% 0.59/0.65
% 0.59/0.65 % Status : Unsatisfiable
% 0.59/0.65 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.10 v5.3.0, 0.06 v5.0.0, 0.00 v4.0.1, 0.09 v4.0.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.17 v2.4.0, 0.11 v2.3.0, 0.00 v2.2.1, 0.11 v2.2.0, 0.11 v2.1.0, 0.00 v2.0.0
% 0.59/0.65 % Syntax : Number of clauses : 23 ( 13 unt; 2 nHn; 18 RR)
% 0.59/0.65 % Number of literals : 41 ( 9 equ; 22 neg)
% 0.59/0.65 % Maximal clause size : 4 ( 1 avg)
% 0.59/0.65 % Maximal term depth : 3 ( 1 avg)
% 0.59/0.65 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.59/0.65 % Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% 0.59/0.65 % Number of variables : 25 ( 0 sgn)
% 0.59/0.65 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.59/0.65
% 0.59/0.65 % Comments : This problem was contributed to [MOW76] in private
% 0.59/0.65 % correspondance from G. Ernst.
% 0.59/0.65 %--------------------------------------------------------------------------
% 0.59/0.65 %----Include axioms for this program verification
% 0.59/0.65 include('Axioms/SWV001-0.ax').
% 0.59/0.65 %--------------------------------------------------------------------------
% 0.59/0.65 cnf(clause_1,negated_conjecture,
% 0.59/0.65 ~ less_than(n,j) ).
% 0.59/0.65
% 0.59/0.65 cnf(clause_2,negated_conjecture,
% 0.59/0.65 less_than(k,j) ).
% 0.59/0.65
% 0.59/0.65 cnf(clause_3,negated_conjecture,
% 0.59/0.65 ~ less_than(k,i) ).
% 0.59/0.65
% 0.59/0.65 cnf(clause_4,negated_conjecture,
% 0.59/0.65 less_than(i,n) ).
% 0.59/0.65
% 0.59/0.65 cnf(clause_5,negated_conjecture,
% 0.59/0.65 less_than(a(j),a(k)) ).
% 0.59/0.65
% 0.59/0.65 cnf(clause_6,negated_conjecture,
% 0.59/0.65 ( less_than(X,i)
% 0.59/0.65 | ~ less_than(X,j)
% 0.59/0.65 | ~ less_than(a(X),a(k)) ) ).
% 0.59/0.65
% 0.59/0.65 cnf(clause_7,negated_conjecture,
% 0.59/0.65 ( less_than(X,i)
% 0.59/0.65 | less_than(n,X)
% 0.59/0.65 | ~ less_than(one,i)
% 0.59/0.65 | ~ less_than(a(X),a(predecessor(i))) ) ).
% 0.59/0.65
% 0.59/0.65 cnf(clause_8,negated_conjecture,
% 0.59/0.65 ( ~ less_than(one,X)
% 0.59/0.65 | ~ less_than(X,i)
% 0.59/0.65 | ~ less_than(a(X),a(predecessor(X))) ) ).
% 0.59/0.65
% 0.59/0.65 cnf(clause_9,negated_conjecture,
% 0.59/0.65 ~ less_than(q,i) ).
% 0.59/0.65
% 0.59/0.65 cnf(clause_10,negated_conjecture,
% 0.59/0.65 ~ less_than(j,q) ).
% 0.59/0.65
% 0.59/0.65 cnf(clause_11,negated_conjecture,
% 0.59/0.65 less_than(a(q),a(j)) ).
% 0.59/0.65
% 0.59/0.65 %--------------------------------------------------------------------------
% 0.59/0.65 %-------------------------------------------
% 0.59/0.65 % Proof found
% 0.59/0.65 % SZS status Theorem for theBenchmark
% 0.59/0.65 % SZS output start Proof
% 0.59/0.66 %ClaNum:29(EqnAxiom:8)
% 0.59/0.66 %VarNum:44(SingletonVarNum:19)
% 0.59/0.66 %MaxLitNum:4
% 0.59/0.66 %MaxfuncDepth:2
% 0.59/0.66 %SharedTerms:20
% 0.59/0.66 %goalClause: 11 12 15 16 17 18 19 20 27 28 29
% 0.59/0.66 %singleGoalClaCount:8
% 0.59/0.66 [11]P1(a2,a3)
% 0.59/0.66 [12]P1(a4,a6)
% 0.59/0.66 [17]~P1(a6,a3)
% 0.59/0.66 [18]~P1(a3,a9)
% 0.59/0.66 [19]~P1(a2,a4)
% 0.59/0.66 [20]~P1(a9,a4)
% 0.59/0.66 [15]P1(f5(a3),f5(a2))
% 0.59/0.66 [16]P1(f5(a9),f5(a3))
% 0.59/0.66 [21]~P1(x211,x211)
% 0.59/0.66 [13]P1(x131,f8(x131))
% 0.59/0.66 [14]P1(f1(x141),x141)
% 0.59/0.66 [9]E(f8(f1(x91)),x91)
% 0.59/0.66 [10]E(f1(f8(x101)),x101)
% 0.59/0.66 [25]~P1(x252,x251)+~P1(x251,x252)
% 0.59/0.66 [22]E(x221,x222)+~E(f8(x221),f8(x222))
% 0.59/0.66 [23]E(x231,x232)+~E(f1(x231),f1(x232))
% 0.59/0.66 [27]~P1(x271,a3)+P1(x271,a4)+~P1(f5(x271),f5(a2))
% 0.59/0.66 [29]~P1(a7,x291)+~P1(x291,a4)+~P1(f5(x291),f5(f1(x291)))
% 0.59/0.66 [24]P1(x242,x241)+P1(x241,x242)+E(x241,x242)
% 0.59/0.66 [26]~P1(x261,x263)+P1(x261,x262)+~P1(x263,x262)
% 0.59/0.66 [28]P1(a6,x281)+P1(x281,a4)+~P1(a7,a4)+~P1(f5(x281),f5(f1(a4)))
% 0.59/0.66 %EqnAxiom
% 0.59/0.66 [1]E(x11,x11)
% 0.59/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.59/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.59/0.66 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.59/0.66 [5]~E(x51,x52)+E(f8(x51),f8(x52))
% 0.59/0.66 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 0.59/0.66 [7]P1(x72,x73)+~E(x71,x72)+~P1(x71,x73)
% 0.59/0.66 [8]P1(x83,x82)+~E(x81,x82)+~P1(x83,x81)
% 0.59/0.66
% 0.59/0.66 %-------------------------------------------
% 0.59/0.66 cnf(34,plain,
% 0.59/0.66 (E(x341,f8(f1(x341)))),
% 0.59/0.66 inference(scs_inference,[],[11,9,25,2])).
% 0.59/0.66 cnf(38,plain,
% 0.59/0.66 (~E(a2,a6)),
% 0.59/0.66 inference(scs_inference,[],[11,17,14,9,25,2,26,7])).
% 0.59/0.66 cnf(53,plain,
% 0.59/0.66 (~P1(x531,x531)),
% 0.59/0.66 inference(rename_variables,[],[21])).
% 0.59/0.66 cnf(56,plain,
% 0.59/0.66 (~E(a4,a6)),
% 0.59/0.66 inference(scs_inference,[],[12,38,10,21,53,34,14,22,25,26,8,3,7])).
% 0.59/0.66 cnf(58,plain,
% 0.59/0.66 (E(a3,a9)+P1(a9,a3)),
% 0.59/0.66 inference(scs_inference,[],[12,18,38,10,21,53,34,14,22,25,26,8,3,7,24])).
% 0.59/0.66 cnf(69,plain,
% 0.59/0.66 (~P1(x691,x691)),
% 0.59/0.66 inference(rename_variables,[],[21])).
% 0.59/0.66 cnf(70,plain,
% 0.59/0.66 (~E(f5(a2),f5(a3))),
% 0.59/0.66 inference(scs_inference,[],[15,16,56,10,21,69,25,26,3,7,8])).
% 0.59/0.66 cnf(73,plain,
% 0.59/0.66 (~P1(a9,a3)),
% 0.59/0.66 inference(scs_inference,[],[20,15,16,56,10,21,69,25,26,3,7,8,6,27])).
% 0.59/0.66 cnf(79,plain,
% 0.59/0.66 (E(a3,a9)),
% 0.59/0.66 inference(scs_inference,[],[73,58])).
% 0.59/0.66 cnf(87,plain,
% 0.59/0.66 (~E(f5(a3),f5(a9))),
% 0.59/0.66 inference(scs_inference,[],[16,70,21,14,6,25,26,8])).
% 0.59/0.66 cnf(94,plain,
% 0.59/0.66 ($false),
% 0.59/0.66 inference(scs_inference,[],[79,87,6]),
% 0.59/0.66 ['proof']).
% 0.59/0.66 % SZS output end Proof
% 0.59/0.66 % Total time :0.000000s
%------------------------------------------------------------------------------