%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWV008-1 : 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 : 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 : Mon Jun 24 16:45:27 EDT 2024
% Result : Unsatisfiable 11.94s 12.02s
% Output : CNFRefutation 11.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV008-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n025.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 15:01:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.49/0.58 start to proof:theBenchmark
% 11.94/12.01 %-------------------------------------------
% 11.94/12.01 % File :CSE---1.7
% 11.94/12.01 % Problem :theBenchmark
% 11.94/12.01 % Transform :cnf
% 11.94/12.01 % Format :tptp:raw
% 11.94/12.01 % Command :java -jar mcs_scs.jar %d %s
% 11.94/12.01
% 11.94/12.01 % Result :Theorem 11.400000s
% 11.94/12.01 % Output :CNFRefutation 11.400000s
% 11.94/12.01 %-------------------------------------------
% 11.94/12.02 %--------------------------------------------------------------------------
% 11.94/12.02 % File : SWV008-1 : TPTP v8.2.0. Released v1.0.0.
% 11.94/12.02 % Domain : Software Verification
% 11.94/12.02 % Problem : E7
% 11.94/12.02 % Version : Especial.
% 11.94/12.02 % English :
% 11.94/12.02
% 11.94/12.02 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 11.94/12.02 % Source : [SETHEO]
% 11.94/12.02 % Names : E7 [MOW76]
% 11.94/12.02 % : v7.lop [SETHEO]
% 11.94/12.02
% 11.94/12.02 % Status : Unsatisfiable
% 11.94/12.02 % 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 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.08 v4.0.1, 0.09 v4.0.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.23 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.20 v2.5.0, 0.42 v2.4.0, 0.33 v2.2.1, 0.33 v2.2.0, 0.56 v2.1.0, 0.00 v2.0.0
% 11.94/12.02 % Syntax : Number of clauses : 17 ( 8 unt; 2 nHn; 12 RR)
% 11.94/12.02 % Number of literals : 33 ( 9 equ; 17 neg)
% 11.94/12.02 % Maximal clause size : 4 ( 1 avg)
% 11.94/12.02 % Maximal term depth : 3 ( 1 avg)
% 11.94/12.02 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 11.94/12.02 % Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% 11.94/12.02 % Number of variables : 24 ( 0 sgn)
% 11.94/12.02 % SPC : CNF_UNS_RFO_SEQ_NHN
% 11.94/12.02
% 11.94/12.02 % Comments : This problem was contributed to [MOW76] in private
% 11.94/12.02 % correspondance from G. Ernst. The axioms are incomplete.
% 11.94/12.02 %--------------------------------------------------------------------------
% 11.94/12.02 %----Include axioms for this program verification
% 11.94/12.02 include('Axioms/SWV001-0.ax').
% 11.94/12.02 %--------------------------------------------------------------------------
% 11.94/12.02 cnf(clause_1,negated_conjecture,
% 11.94/12.02 ~ less_than(n,l) ).
% 11.94/12.02
% 11.94/12.02 cnf(clause_2,negated_conjecture,
% 11.94/12.02 less_than(one,l) ).
% 11.94/12.02
% 11.94/12.02 cnf(clause_3,negated_conjecture,
% 11.94/12.02 less_than(a(l),a(predecessor(l))) ).
% 11.94/12.02
% 11.94/12.02 cnf(clause_4,negated_conjecture,
% 11.94/12.02 ( less_than(X,n)
% 11.94/12.02 | less_than(n,X)
% 11.94/12.02 | ~ less_than(one,n)
% 11.94/12.02 | ~ less_than(a(X),a(predecessor(n))) ) ).
% 11.94/12.02
% 11.94/12.02 cnf(clause_5,negated_conjecture,
% 11.94/12.02 ( ~ less_than(one,X)
% 11.94/12.02 | ~ less_than(X,n)
% 11.94/12.02 | ~ less_than(a(X),a(predecessor(X))) ) ).
% 11.94/12.02
% 11.94/12.02 %--------------------------------------------------------------------------
% 11.94/12.02 %-------------------------------------------
% 11.94/12.02 % Proof found
% 11.94/12.02 % SZS status Theorem for theBenchmark
% 11.94/12.02 % SZS output start Proof
% 11.94/12.02 %ClaNum:23(EqnAxiom:8)
% 11.94/12.02 %VarNum:41(SingletonVarNum:18)
% 11.94/12.02 %MaxLitNum:4
% 11.94/12.02 %MaxfuncDepth:2
% 11.94/12.02 %SharedTerms:12
% 11.94/12.02 %goalClause: 11 14 15 22 23
% 11.94/12.02 %singleGoalClaCount:3
% 11.94/12.02 [11]P1(a2,a3)
% 11.94/12.02 [15]~P1(a5,a3)
% 11.94/12.02 [14]P1(f4(a3),f4(f1(a3)))
% 11.94/12.02 [16]~P1(x161,x161)
% 11.94/12.02 [12]P1(x121,f6(x121))
% 11.94/12.02 [13]P1(f1(x131),x131)
% 11.94/12.02 [9]E(f6(f1(x91)),x91)
% 11.94/12.02 [10]E(f1(f6(x101)),x101)
% 11.94/12.02 [20]~P1(x202,x201)+~P1(x201,x202)
% 11.94/12.02 [17]E(x171,x172)+~E(f6(x171),f6(x172))
% 11.94/12.02 [18]E(x181,x182)+~E(f1(x181),f1(x182))
% 11.94/12.02 [23]~P1(a2,x231)+~P1(x231,a5)+~P1(f4(x231),f4(f1(x231)))
% 11.94/12.02 [19]P1(x192,x191)+P1(x191,x192)+E(x191,x192)
% 11.94/12.02 [21]~P1(x211,x213)+P1(x211,x212)+~P1(x213,x212)
% 11.94/12.02 [22]P1(a5,x221)+P1(x221,a5)+~P1(a2,a5)+~P1(f4(x221),f4(f1(a5)))
% 11.94/12.02 %EqnAxiom
% 11.94/12.02 [1]E(x11,x11)
% 11.94/12.02 [2]E(x22,x21)+~E(x21,x22)
% 11.94/12.02 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 11.94/12.02 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 11.94/12.02 [5]~E(x51,x52)+E(f6(x51),f6(x52))
% 11.94/12.02 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 11.94/12.02 [7]P1(x72,x73)+~E(x71,x72)+~P1(x71,x73)
% 11.94/12.02 [8]P1(x83,x82)+~E(x81,x82)+~P1(x83,x81)
% 11.94/12.02
% 11.94/12.02 %-------------------------------------------
% 11.94/12.03 cnf(28,plain,
% 11.94/12.03 (E(x281,f6(f1(x281)))),
% 11.94/12.03 inference(scs_inference,[],[11,9,20,2])).
% 11.94/12.03 cnf(29,plain,
% 11.94/12.03 (~P1(a3,a5)),
% 11.94/12.03 inference(scs_inference,[],[11,14,9,20,2,23])).
% 11.94/12.03 cnf(35,plain,
% 11.94/12.03 (E(a5,a3)),
% 11.94/12.03 inference(scs_inference,[],[11,15,14,13,9,20,2,23,21,7,19])).
% 11.94/12.03 cnf(41,plain,
% 11.94/12.03 (E(x411,f1(f6(x411)))),
% 11.94/12.03 inference(scs_inference,[],[28,17])).
% 11.94/12.03 cnf(44,plain,
% 11.94/12.03 (E(a3,a5)),
% 11.94/12.03 inference(scs_inference,[],[28,35,17,2])).
% 11.94/12.03 cnf(53,plain,
% 11.94/12.03 (~P1(x531,x531)),
% 11.94/12.03 inference(rename_variables,[],[16])).
% 11.94/12.03 cnf(54,plain,
% 11.94/12.03 (~E(f4(a3),f4(f1(a3)))),
% 11.94/12.03 inference(scs_inference,[],[14,28,35,10,16,53,13,17,2,20,21,3,8,7])).
% 11.94/12.03 cnf(169,plain,
% 11.94/12.03 (P1(f1(x1691),f6(x1691))),
% 11.94/12.03 inference(scs_inference,[],[13,12,21])).
% 11.94/12.03 cnf(328,plain,
% 11.94/12.03 (E(f4(f1(a5)),f4(f1(a3)))),
% 11.94/12.03 inference(scs_inference,[],[35,4,6])).
% 11.94/12.03 cnf(334,plain,
% 11.94/12.03 (~E(f4(a3),f4(f1(a5)))),
% 11.94/12.03 inference(scs_inference,[],[54,328,3])).
% 11.94/12.03 cnf(372,plain,
% 11.94/12.03 (P1(a2,f1(f6(a3)))),
% 11.94/12.03 inference(scs_inference,[],[41,11,8])).
% 11.94/12.03 cnf(373,plain,
% 11.94/12.03 (E(x3731,f1(f6(x3731)))),
% 11.94/12.03 inference(rename_variables,[],[41])).
% 11.94/12.03 cnf(378,plain,
% 11.94/12.03 (P1(f1(a2),f1(f6(a3)))),
% 11.94/12.03 inference(scs_inference,[],[41,373,11,13,8,7,20,21])).
% 11.94/12.03 cnf(384,plain,
% 11.94/12.03 (P1(a2,f6(f6(a3)))),
% 11.94/12.03 inference(scs_inference,[],[169,372,378,20,21])).
% 11.94/12.03 cnf(485,plain,
% 11.94/12.03 (P1(a2,a5)),
% 11.94/12.03 inference(scs_inference,[],[44,11,8])).
% 11.94/12.03 cnf(486,plain,
% 11.94/12.03 (P1(f6(f1(a2)),f6(f6(a3)))),
% 11.94/12.03 inference(scs_inference,[],[44,11,384,28,8,7])).
% 11.94/12.03 cnf(490,plain,
% 11.94/12.03 (P1(f1(a2),a5)),
% 11.94/12.03 inference(scs_inference,[],[44,11,384,28,13,8,7,20,21])).
% 11.94/12.03 cnf(493,plain,
% 11.94/12.03 (P1(x4931,a5)+P1(a5,x4931)+~P1(f4(x4931),f4(f1(a5)))),
% 11.94/12.03 inference(scs_inference,[],[485,22])).
% 11.94/12.03 cnf(499,plain,
% 11.94/12.03 (P1(f4(f1(a5)),f4(a3))),
% 11.94/12.03 inference(scs_inference,[],[15,29,486,334,20,493,19])).
% 11.94/12.03 cnf(501,plain,
% 11.94/12.03 (P1(f1(f1(a2)),a5)),
% 11.94/12.03 inference(scs_inference,[],[15,29,486,490,334,13,20,493,19,21])).
% 11.94/12.03 cnf(513,plain,
% 11.94/12.03 (P1(f4(f1(a5)),f4(f1(a3)))),
% 11.94/12.03 inference(scs_inference,[],[14,501,499,16,20,493,21])).
% 11.94/12.03 cnf(901,plain,
% 11.94/12.03 ($false),
% 11.94/12.03 inference(scs_inference,[],[328,513,16,7]),
% 11.94/12.03 ['proof']).
% 11.94/12.03 % SZS output end Proof
% 11.94/12.03 % Total time :11.400000s
%------------------------------------------------------------------------------