%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWV007-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 10.36s 10.41s
% Output : CNFRefutation 10.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV007-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n020.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Jun 20 17:27:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 10.36/10.40 %-------------------------------------------
% 10.36/10.40 % File :CSE---1.7
% 10.36/10.40 % Problem :theBenchmark
% 10.36/10.40 % Transform :cnf
% 10.36/10.40 % Format :tptp:raw
% 10.36/10.40 % Command :java -jar mcs_scs.jar %d %s
% 10.36/10.40
% 10.36/10.40 % Result :Theorem 9.800000s
% 10.36/10.40 % Output :CNFRefutation 9.800000s
% 10.36/10.40 %-------------------------------------------
% 10.36/10.41 %--------------------------------------------------------------------------
% 10.36/10.41 % File : SWV007-1 : TPTP v8.2.0. Released v1.0.0.
% 10.36/10.41 % Domain : Software Verification
% 10.36/10.41 % Problem : E6
% 10.36/10.41 % Version : Especial.
% 10.36/10.41 % English :
% 10.36/10.41
% 10.36/10.41 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 10.36/10.41 % Source : [SETHEO]
% 10.36/10.41 % Names : E6 [MOW76]
% 10.36/10.41 % : v6.lop [SETHEO]
% 10.36/10.41
% 10.36/10.41 % Status : Unsatisfiable
% 10.36/10.41 % Rating : 0.05 v8.1.0, 0.00 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.12 v5.0.0, 0.00 v4.0.1, 0.09 v4.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.15 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
% 10.36/10.41 % Syntax : Number of clauses : 23 ( 13 unt; 2 nHn; 18 RR)
% 10.36/10.41 % Number of literals : 41 ( 10 equ; 23 neg)
% 10.36/10.41 % Maximal clause size : 4 ( 1 avg)
% 10.36/10.41 % Maximal term depth : 3 ( 1 avg)
% 10.36/10.41 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 10.36/10.41 % Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% 10.36/10.41 % Number of variables : 25 ( 0 sgn)
% 10.36/10.41 % SPC : CNF_UNS_RFO_SEQ_NHN
% 10.36/10.41
% 10.36/10.41 % Comments : This problem was contributed to [MOW76] in private
% 10.36/10.41 % correspondance from G. Ernst. The axioms are incomplete.
% 10.36/10.41 %--------------------------------------------------------------------------
% 10.36/10.41 %----Include axioms for this program verification
% 10.36/10.41 include('Axioms/SWV001-0.ax').
% 10.36/10.41 %--------------------------------------------------------------------------
% 10.36/10.41 cnf(clause_1,negated_conjecture,
% 10.36/10.41 ~ less_than(n,k) ).
% 10.36/10.41
% 10.36/10.41 cnf(clause_2,negated_conjecture,
% 10.36/10.41 ~ less_than(k,i) ).
% 10.36/10.41
% 10.36/10.41 cnf(clause_3,negated_conjecture,
% 10.36/10.41 less_than(i,n) ).
% 10.36/10.41
% 10.36/10.41 cnf(clause_4,negated_conjecture,
% 10.36/10.41 ~ less_than(n,m) ).
% 10.36/10.41
% 10.36/10.41 cnf(clause_5,negated_conjecture,
% 10.36/10.41 less_than(i,m) ).
% 10.36/10.41
% 10.36/10.41 cnf(clause_6,negated_conjecture,
% 10.36/10.41 ~ less_than(i,one) ).
% 10.36/10.41
% 10.36/10.41 cnf(clause_7,negated_conjecture,
% 10.36/10.41 k != m ).
% 10.36/10.41
% 10.36/10.41 cnf(clause_8,negated_conjecture,
% 10.36/10.41 less_than(a(m),a(k)) ).
% 10.36/10.41
% 10.36/10.41 cnf(clause_9,negated_conjecture,
% 10.36/10.41 ( ~ less_than(one,X)
% 10.36/10.41 | ~ less_than(X,i)
% 10.36/10.41 | ~ less_than(a(X),a(predecessor(X))) ) ).
% 10.36/10.41
% 10.36/10.41 cnf(clause_10,negated_conjecture,
% 10.36/10.41 ( less_than(X,i)
% 10.36/10.41 | less_than(n,X)
% 10.36/10.41 | ~ less_than(one,X)
% 10.36/10.41 | ~ less_than(a(X),a(predecessor(i))) ) ).
% 10.36/10.41
% 10.36/10.41 cnf(clause_11,negated_conjecture,
% 10.36/10.41 ( less_than(X,i)
% 10.36/10.41 | ~ less_than(X,successor(n))
% 10.36/10.41 | ~ less_than(a(X),a(k)) ) ).
% 10.36/10.41
% 10.36/10.41 %--------------------------------------------------------------------------
% 10.36/10.41 %-------------------------------------------
% 10.36/10.41 % Proof found
% 10.36/10.41 % SZS status Theorem for theBenchmark
% 10.36/10.41 % SZS output start Proof
% 10.36/10.41 %ClaNum:29(EqnAxiom:8)
% 10.36/10.41 %VarNum:45(SingletonVarNum:19)
% 10.36/10.41 %MaxLitNum:4
% 10.36/10.41 %MaxfuncDepth:2
% 10.36/10.41 %SharedTerms:18
% 10.36/10.41 %goalClause: 11 12 15 16 17 18 19 20 27 28 29
% 10.36/10.41 %singleGoalClaCount:8
% 10.36/10.41 [11]P1(a2,a4)
% 10.36/10.41 [12]P1(a2,a5)
% 10.36/10.41 [16]~E(a6,a5)
% 10.36/10.41 [17]~P1(a4,a6)
% 10.36/10.41 [18]~P1(a4,a5)
% 10.36/10.41 [19]~P1(a6,a2)
% 10.36/10.41 [20]~P1(a2,a7)
% 10.36/10.41 [15]P1(f3(a5),f3(a6))
% 10.36/10.41 [21]~P1(x211,x211)
% 10.36/10.41 [13]P1(x131,f8(x131))
% 10.36/10.41 [14]P1(f1(x141),x141)
% 10.36/10.41 [9]E(f8(f1(x91)),x91)
% 10.36/10.41 [10]E(f1(f8(x101)),x101)
% 10.36/10.41 [25]~P1(x252,x251)+~P1(x251,x252)
% 10.36/10.41 [22]E(x221,x222)+~E(f8(x221),f8(x222))
% 10.36/10.41 [23]E(x231,x232)+~E(f1(x231),f1(x232))
% 10.36/10.41 [27]P1(x271,a2)+~P1(x271,f8(a4))+~P1(f3(x271),f3(a6))
% 10.36/10.41 [29]~P1(a7,x291)+~P1(x291,a2)+~P1(f3(x291),f3(f1(x291)))
% 10.36/10.41 [24]P1(x242,x241)+P1(x241,x242)+E(x241,x242)
% 10.36/10.41 [26]~P1(x261,x263)+P1(x261,x262)+~P1(x263,x262)
% 10.36/10.41 [28]P1(a4,x281)+~P1(a7,x281)+P1(x281,a2)+~P1(f3(x281),f3(f1(a2)))
% 10.36/10.41 %EqnAxiom
% 10.36/10.41 [1]E(x11,x11)
% 10.36/10.41 [2]E(x22,x21)+~E(x21,x22)
% 10.36/10.41 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 10.36/10.41 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 10.36/10.41 [5]~E(x51,x52)+E(f8(x51),f8(x52))
% 10.36/10.41 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 10.36/10.41 [7]P1(x72,x73)+~E(x71,x72)+~P1(x71,x73)
% 10.36/10.41 [8]P1(x83,x82)+~E(x81,x82)+~P1(x83,x81)
% 10.36/10.41
% 10.36/10.41 %-------------------------------------------
% 10.36/10.42 cnf(34,plain,
% 10.36/10.42 (E(x341,f8(f1(x341)))),
% 10.36/10.42 inference(scs_inference,[],[11,9,25,2])).
% 10.36/10.42 cnf(35,plain,
% 10.36/10.42 (~P1(f3(a4),f3(a6))),
% 10.36/10.42 inference(scs_inference,[],[11,13,9,25,2,27])).
% 10.36/10.42 cnf(38,plain,
% 10.36/10.42 (P1(f1(a2),a4)),
% 10.36/10.42 inference(scs_inference,[],[11,13,14,9,25,2,27,26])).
% 10.36/10.42 cnf(51,plain,
% 10.36/10.42 (~P1(a5,a2)),
% 10.36/10.42 inference(scs_inference,[],[12,34,22,25])).
% 10.36/10.42 cnf(59,plain,
% 10.36/10.42 (~E(f3(a5),f3(a4))),
% 10.36/10.42 inference(scs_inference,[],[35,12,15,16,20,10,34,14,22,25,26,3,8,7])).
% 10.36/10.42 cnf(73,plain,
% 10.36/10.42 (~P1(x731,x731)),
% 10.36/10.42 inference(rename_variables,[],[21])).
% 10.36/10.42 cnf(76,plain,
% 10.36/10.42 (E(a4,a5)+P1(a5,a4)),
% 10.36/10.42 inference(scs_inference,[],[18,15,38,21,73,14,25,26,7,8,24])).
% 10.36/10.42 cnf(202,plain,
% 10.36/10.42 (~P1(f8(x2021),x2021)),
% 10.36/10.42 inference(scs_inference,[],[13,25])).
% 10.36/10.42 cnf(547,plain,
% 10.36/10.42 (~E(a4,a5)),
% 10.36/10.42 inference(scs_inference,[],[59,2,6])).
% 10.36/10.42 cnf(548,plain,
% 10.36/10.42 (P1(a5,a4)),
% 10.36/10.42 inference(scs_inference,[],[547,76])).
% 10.36/10.42 cnf(1033,plain,
% 10.36/10.42 ($false),
% 10.36/10.42 inference(scs_inference,[],[548,15,51,202,13,26,7,25,27]),
% 10.36/10.42 ['proof']).
% 10.36/10.42 % SZS output end Proof
% 10.36/10.42 % Total time :9.800000s
%------------------------------------------------------------------------------