TSTP Solution File: SYN071-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN071-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 01:44:02 EDT 2023
% Result : Unsatisfiable 0.19s 0.63s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN071-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 20:47:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % File :CSE---1.6
% 0.19/0.63 % Problem :theBenchmark
% 0.19/0.63 % Transform :cnf
% 0.19/0.63 % Format :tptp:raw
% 0.19/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.63
% 0.19/0.63 % Result :Theorem 0.020000s
% 0.19/0.63 % Output :CNFRefutation 0.020000s
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 %--------------------------------------------------------------------------
% 0.19/0.63 % File : SYN071-1 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.63 % Domain : Syntactic
% 0.19/0.63 % Problem : Pelletier Problem 48
% 0.19/0.63 % Version : Especial.
% 0.19/0.63 % English :
% 0.19/0.63
% 0.19/0.63 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.19/0.63 % : [Rud93] Rudnicki (1993), Email to G. Sutcliffe
% 0.19/0.63 % Source : [Pel86]
% 0.19/0.63 % Names : Pelletier 48 [Pel86]
% 0.19/0.63
% 0.19/0.63 % Status : Unsatisfiable
% 0.19/0.63 % Rating : 0.00 v6.1.0, 0.12 v6.0.0, 0.00 v2.4.0, 0.00 v2.2.0, 0.25 v2.1.0, 0.00 v2.0.0
% 0.19/0.63 % Syntax : Number of clauses : 4 ( 2 unt; 2 nHn; 4 RR)
% 0.19/0.63 % Number of literals : 6 ( 6 equ; 2 neg)
% 0.19/0.63 % Maximal clause size : 2 ( 1 avg)
% 0.19/0.63 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.63 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.19/0.63 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% 0.19/0.63 % Number of variables : 0 ( 0 sgn)
% 0.19/0.63 % SPC : CNF_UNS_EPR_PEQ_NUE
% 0.19/0.63
% 0.19/0.63 % Comments : [Pel86] says that Rudnicki has not published this problem
% 0.19/0.63 % anywhere.
% 0.19/0.63 % : [Rud93] says "I have seen it for the first time around 1977,
% 0.19/0.63 % it was shown to me by A. Trybulec but I am sure it is folklore."
% 0.19/0.63 %--------------------------------------------------------------------------
% 0.19/0.63 cnf(clause_1,axiom,
% 0.19/0.63 ( a = b
% 0.19/0.63 | c = d ) ).
% 0.19/0.63
% 0.19/0.63 cnf(clause_2,axiom,
% 0.19/0.63 ( a = c
% 0.19/0.63 | b = d ) ).
% 0.19/0.63
% 0.19/0.63 cnf(clause_3,negated_conjecture,
% 0.19/0.63 a != d ).
% 0.19/0.63
% 0.19/0.63 cnf(clause_4,negated_conjecture,
% 0.19/0.63 b != c ).
% 0.19/0.63
% 0.19/0.63 %--------------------------------------------------------------------------
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % Proof found
% 0.19/0.63 % SZS status Theorem for theBenchmark
% 0.19/0.63 % SZS output start Proof
% 0.19/0.64 %ClaNum:7(EqnAxiom:3)
% 0.19/0.64 %VarNum:0(SingletonVarNum:0)
% 0.19/0.64 %MaxLitNum:2
% 0.19/0.64 %MaxfuncDepth:0
% 0.19/0.64 %SharedTerms:10
% 0.19/0.64 %goalClause: 4 5
% 0.19/0.64 %singleGoalClaCount:2
% 0.19/0.64 [4]~E(a1,a3)
% 0.19/0.64 [5]~E(a4,a2)
% 0.19/0.64 [6]E(a1,a2)+E(a3,a4)
% 0.19/0.64 [7]E(a3,a2)+E(a1,a4)
% 0.19/0.64 %EqnAxiom
% 0.19/0.64 [1]E(x11,x11)
% 0.19/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.64
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 cnf(8,plain,
% 0.19/0.64 (~E(a3,a1)),
% 0.19/0.64 inference(scs_inference,[],[4,2])).
% 0.19/0.64 cnf(9,plain,
% 0.19/0.64 (~E(x91,a3)+~E(a1,x91)),
% 0.19/0.64 inference(scs_inference,[],[4,2,3])).
% 0.19/0.64 cnf(10,plain,
% 0.19/0.64 (~E(a4,a3)+E(a3,a2)),
% 0.19/0.64 inference(scs_inference,[],[4,2,3,7])).
% 0.19/0.64 cnf(11,plain,
% 0.19/0.64 (E(a2,a1)+E(a3,a4)),
% 0.19/0.64 inference(scs_inference,[],[6,2])).
% 0.19/0.64 cnf(14,plain,
% 0.19/0.64 (~E(a3,a4)+E(a3,a2)),
% 0.19/0.64 inference(scs_inference,[],[10,2])).
% 0.19/0.64 cnf(16,plain,
% 0.19/0.64 (E(a2,a3)+~E(a3,a4)),
% 0.19/0.64 inference(scs_inference,[],[14,2])).
% 0.19/0.64 cnf(17,plain,
% 0.19/0.64 (~E(x171,a1)+~E(a3,x171)),
% 0.19/0.64 inference(scs_inference,[],[8,3])).
% 0.19/0.64 cnf(19,plain,
% 0.19/0.64 (~E(a2,a1)+E(a1,a4)),
% 0.19/0.64 inference(scs_inference,[],[17,7])).
% 0.19/0.64 cnf(20,plain,
% 0.19/0.64 (E(a4,a1)+~E(a2,a1)),
% 0.19/0.64 inference(scs_inference,[],[19,2])).
% 0.19/0.64 cnf(21,plain,
% 0.19/0.64 (E(a4,a1)+E(a3,a4)),
% 0.19/0.64 inference(scs_inference,[],[20,11])).
% 0.19/0.64 cnf(22,plain,
% 0.19/0.64 (E(a4,a1)+E(a3,a2)),
% 0.19/0.64 inference(scs_inference,[],[21,14])).
% 0.19/0.64 cnf(23,plain,
% 0.19/0.64 (E(a2,a3)+E(a4,a1)),
% 0.19/0.64 inference(scs_inference,[],[22,2])).
% 0.19/0.64 cnf(24,plain,
% 0.19/0.64 (~E(x241,a2)+~E(a4,x241)),
% 0.19/0.64 inference(scs_inference,[],[5,3])).
% 0.19/0.64 cnf(25,plain,
% 0.19/0.64 (~E(a1,a2)+E(a4,a1)),
% 0.19/0.64 inference(scs_inference,[],[23,9])).
% 0.19/0.64 cnf(26,plain,
% 0.19/0.64 (~E(a1,a2)),
% 0.19/0.64 inference(scs_inference,[],[24,25])).
% 0.19/0.64 cnf(27,plain,
% 0.19/0.64 (E(a3,a4)),
% 0.19/0.64 inference(scs_inference,[],[26,6])).
% 0.19/0.64 cnf(31,plain,
% 0.19/0.64 (E(a2,a3)),
% 0.19/0.64 inference(scs_inference,[],[27,16])).
% 0.19/0.64 cnf(32,plain,
% 0.19/0.64 (~E(a2,a3)),
% 0.19/0.64 inference(scs_inference,[],[5,27,2,3])).
% 0.19/0.64 cnf(33,plain,
% 0.19/0.64 ($false),
% 0.19/0.64 inference(scs_inference,[],[31,32]),
% 0.19/0.64 ['proof']).
% 0.19/0.64 % SZS output end Proof
% 0.19/0.64 % Total time :0.020000s
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