TSTP Solution File: SYN002-1.007.008 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN002-1.007.008 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n006.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 : Fri Sep 1 01:43:39 EDT 2023
% Result : Unsatisfiable 0.20s 0.67s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN002-1.007.008 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 19:33:22 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % File :CSE---1.6
% 0.20/0.66 % Problem :theBenchmark
% 0.20/0.66 % Transform :cnf
% 0.20/0.66 % Format :tptp:raw
% 0.20/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.66
% 0.20/0.66 % Result :Theorem 0.040000s
% 0.20/0.66 % Output :CNFRefutation 0.040000s
% 0.20/0.66 %-------------------------------------------
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 % File : SYN002-1.007.008 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.67 % Domain : Syntactic
% 0.20/0.67 % Problem : Odd and Even Problem
% 0.20/0.67 % Version : Especial.
% 0.20/0.67 % English : Given by the clauses C1: p(X) v p(f^M(X)) and C2: ~p(X)
% 0.20/0.67 % v ~p(f^N(X)), where if M is odd N is even and vice versa,
% 0.20/0.67 % N > M. The sizes are used for N and M.
% 0.20/0.67
% 0.20/0.67 % Refs : [Soc92] Socher-Ambrosius (1992), How to Avoid the Derivation o
% 0.20/0.67 % Source : [Soc92]
% 0.20/0.67 % Names : ederX-Y.lop (Size X:Y) [TUM]
% 0.20/0.67
% 0.20/0.67 % Status : Unsatisfiable
% 0.20/0.67 % Rating : 0.00 v6.3.0, 0.14 v6.2.0, 0.00 v3.1.0, 0.17 v2.7.0, 0.12 v2.6.0, 0.00 v2.1.0
% 0.20/0.67 % Syntax : Number of clauses : 2 ( 0 unt; 1 nHn; 1 RR)
% 0.20/0.67 % Number of literals : 4 ( 0 equ; 2 neg)
% 0.20/0.67 % Maximal clause size : 2 ( 2 avg)
% 0.20/0.67 % Maximal term depth : 9 ( 4 avg)
% 0.20/0.67 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 0.20/0.67 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% 0.20/0.67 % Number of variables : 2 ( 0 sgn)
% 0.20/0.67 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.67
% 0.20/0.67 % Comments :
% 0.20/0.67 % : tptp2X: -f tptp -s7:8 SYN002-1.g
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 cnf(positive,negated_conjecture,
% 0.20/0.67 ( p(X)
% 0.20/0.67 | p(f(f(f(f(f(f(f(X)))))))) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(negative,negated_conjecture,
% 0.20/0.67 ( ~ p(X)
% 0.20/0.67 | ~ p(f(f(f(f(f(f(f(f(X))))))))) ) ).
% 0.20/0.67
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % Proof found
% 0.20/0.67 % SZS status Theorem for theBenchmark
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 %ClaNum:2(EqnAxiom:0)
% 0.20/0.67 %VarNum:4(SingletonVarNum:2)
% 0.20/0.67 %MaxLitNum:2
% 0.20/0.67 %MaxfuncDepth:8
% 0.20/0.67 %SharedTerms:0
% 0.20/0.67 %goalClause: 1 2
% 0.20/0.67 [1]P1(x11)+P1(f1(f1(f1(f1(f1(f1(f1(x11))))))))
% 0.20/0.67 [2]~P1(x21)+~P1(f1(f1(f1(f1(f1(f1(f1(f1(x21)))))))))
% 0.20/0.67 %EqnAxiom
% 0.20/0.67
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 cnf(5,plain,
% 0.20/0.67 (P1(f1(x51))+~P1(x51)),
% 0.20/0.67 inference(scs_inference,[],[1,2])).
% 0.20/0.67 cnf(7,plain,
% 0.20/0.67 (~P1(f1(f1(f1(f1(f1(f1(f1(x71))))))))+~P1(x71)),
% 0.20/0.67 inference(scs_inference,[],[5,2])).
% 0.20/0.67 cnf(11,plain,
% 0.20/0.67 (P1(f1(f1(f1(f1(f1(f1(f1(f1(x111)))))))))+P1(x111)),
% 0.20/0.67 inference(scs_inference,[],[5,1])).
% 0.20/0.67 cnf(13,plain,
% 0.20/0.67 (~P1(f1(x131))+P1(x131)),
% 0.20/0.67 inference(scs_inference,[],[7,11])).
% 0.20/0.67 cnf(14,plain,
% 0.20/0.67 (~P1(f1(x141))+~P1(f1(f1(f1(f1(f1(f1(f1(x141))))))))),
% 0.20/0.67 inference(scs_inference,[],[13,7])).
% 0.20/0.67 cnf(16,plain,
% 0.20/0.67 (P1(f1(f1(f1(f1(f1(f1(x161)))))))+P1(x161)),
% 0.20/0.67 inference(scs_inference,[],[13,1])).
% 0.20/0.67 cnf(17,plain,
% 0.20/0.67 (P1(f1(f1(f1(f1(f1(f1(x171)))))))+~P1(f1(f1(f1(f1(f1(f1(f1(f1(x171)))))))))),
% 0.20/0.67 inference(scs_inference,[],[16,2])).
% 0.20/0.67 cnf(21,plain,
% 0.20/0.67 (P1(f1(f1(f1(f1(f1(x211))))))+~P1(f1(f1(f1(f1(f1(f1(f1(f1(x211)))))))))),
% 0.20/0.67 inference(scs_inference,[],[13,17])).
% 0.20/0.67 cnf(24,plain,
% 0.20/0.68 (P1(f1(f1(x241)))+~P1(x241)),
% 0.20/0.68 inference(scs_inference,[],[16,2])).
% 0.20/0.68 cnf(25,plain,
% 0.20/0.68 (P1(f1(f1(x251)))+P1(f1(f1(f1(f1(f1(f1(f1(x251))))))))),
% 0.20/0.68 inference(scs_inference,[],[24,1])).
% 0.20/0.68 cnf(26,plain,
% 0.20/0.68 (P1(f1(f1(f1(f1(f1(f1(f1(x261))))))))+P1(f1(f1(f1(x261))))),
% 0.20/0.68 inference(scs_inference,[],[25,5])).
% 0.20/0.68 cnf(27,plain,
% 0.20/0.68 (~P1(x271)+P1(f1(f1(f1(x271))))),
% 0.20/0.68 inference(scs_inference,[],[26,7])).
% 0.20/0.68 cnf(28,plain,
% 0.20/0.68 (~P1(f1(f1(f1(f1(x281)))))+~P1(f1(x281))),
% 0.20/0.68 inference(scs_inference,[],[27,14])).
% 0.20/0.68 cnf(29,plain,
% 0.20/0.68 (P1(x291)+~P1(f1(f1(f1(f1(f1(x291))))))),
% 0.20/0.68 inference(scs_inference,[],[28,11])).
% 0.20/0.68 cnf(30,plain,
% 0.20/0.68 (P1(x301)+~P1(f1(f1(f1(f1(f1(f1(x301)))))))),
% 0.20/0.68 inference(scs_inference,[],[29,13])).
% 0.20/0.68 cnf(31,plain,
% 0.20/0.68 (P1(x311)+~P1(f1(f1(f1(f1(f1(f1(f1(f1(x311)))))))))),
% 0.20/0.68 inference(scs_inference,[],[30,17])).
% 0.20/0.68 cnf(32,plain,
% 0.20/0.68 (P1(x321)+P1(f1(x321))),
% 0.20/0.68 inference(scs_inference,[],[31,1])).
% 0.20/0.68 cnf(33,plain,
% 0.20/0.68 (P1(f1(f1(f1(f1(f1(f1(f1(x331))))))))+P1(f1(f1(f1(f1(f1(x331))))))),
% 0.20/0.68 inference(scs_inference,[],[32,21])).
% 0.20/0.68 cnf(34,plain,
% 0.20/0.68 (P1(f1(f1(f1(f1(f1(f1(x341)))))))+~P1(x341)),
% 0.20/0.68 inference(scs_inference,[],[33,2])).
% 0.20/0.68 cnf(35,plain,
% 0.20/0.68 (~P1(x351)+P1(f1(f1(f1(f1(f1(f1(f1(x351))))))))),
% 0.20/0.68 inference(scs_inference,[],[34,5])).
% 0.20/0.68 cnf(36,plain,
% 0.20/0.68 (~P1(x361)),
% 0.20/0.68 inference(scs_inference,[],[35,7])).
% 0.20/0.68 cnf(38,plain,
% 0.20/0.68 (~P1(x381)),
% 0.20/0.68 inference(rename_variables,[],[36])).
% 0.20/0.68 cnf(39,plain,
% 0.20/0.68 (P1(x391)),
% 0.20/0.68 inference(scs_inference,[],[36,38,33,32])).
% 0.20/0.68 cnf(41,plain,
% 0.20/0.68 ($false),
% 0.20/0.68 inference(scs_inference,[],[36,39]),
% 0.20/0.68 ['proof']).
% 0.20/0.68 % SZS output end Proof
% 0.20/0.68 % Total time :0.040000s
%------------------------------------------------------------------------------