TSTP Solution File: SYN352-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN352-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 01:45:22 EDT 2023
% Result : Unsatisfiable 61.53s 61.63s
% Output : CNFRefutation 61.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SYN352-1 : TPTP v8.1.2. Released v1.2.0.
% 0.04/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n009.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 : Sat Aug 26 18:37:20 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.50/0.56 start to proof:theBenchmark
% 61.53/61.62 %-------------------------------------------
% 61.53/61.62 % File :CSE---1.6
% 61.53/61.62 % Problem :theBenchmark
% 61.53/61.62 % Transform :cnf
% 61.53/61.62 % Format :tptp:raw
% 61.53/61.62 % Command :java -jar mcs_scs.jar %d %s
% 61.53/61.62
% 61.53/61.62 % Result :Theorem 61.000000s
% 61.53/61.62 % Output :CNFRefutation 61.000000s
% 61.53/61.62 %-------------------------------------------
% 61.53/61.63 %--------------------------------------------------------------------------
% 61.53/61.63 % File : SYN352-1 : TPTP v8.1.2. Released v1.2.0.
% 61.53/61.63 % Domain : Syntactic
% 61.53/61.63 % Problem : Church problem 46.18 (4)
% 61.53/61.63 % Version : Especial.
% 61.53/61.63 % English :
% 61.53/61.63
% 61.53/61.63 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 61.53/61.63 % : [FL+93] Fermuller et al. (1993), Resolution Methods for the De
% 61.53/61.63 % : [Tam94] Tammet (1994), Email to Geoff Sutcliffe.
% 61.53/61.63 % Source : [Tam94]
% 61.53/61.63 % Names : Ch18N4 [Tam94]
% 61.53/61.63
% 61.53/61.63 % Status : Unsatisfiable
% 61.53/61.63 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.00 v2.0.0
% 61.53/61.63 % Syntax : Number of clauses : 7 ( 1 unt; 4 nHn; 5 RR)
% 61.53/61.63 % Number of literals : 18 ( 0 equ; 7 neg)
% 61.53/61.63 % Maximal clause size : 3 ( 2 avg)
% 61.53/61.63 % Maximal term depth : 2 ( 1 avg)
% 61.53/61.63 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 61.53/61.63 % Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% 61.53/61.63 % Number of variables : 12 ( 0 sgn)
% 61.53/61.63 % SPC : CNF_UNS_RFO_NEQ_NHN
% 61.53/61.63
% 61.53/61.63 % Comments : All the problems here can be decided by using a certain
% 61.53/61.63 % completeness-preserving term ordering strategies. See [FL+93].
% 61.53/61.63 % : The conversion from the full 1st order form in [Chu56]
% 61.53/61.63 % to clause form was done by hand by Tanel Tammet.
% 61.53/61.63 %--------------------------------------------------------------------------
% 61.53/61.63 cnf(clause1,negated_conjecture,
% 61.53/61.63 f(a,b) ).
% 61.53/61.63
% 61.53/61.63 cnf(clause2,negated_conjecture,
% 61.53/61.63 ( ~ f(X,Y)
% 61.53/61.63 | f(b,z(X,Y))
% 61.53/61.63 | f(Y,z(X,Y)) ) ).
% 61.53/61.63
% 61.53/61.63 cnf(clause3,negated_conjecture,
% 61.53/61.63 ( f(X,Y)
% 61.53/61.63 | f(z(X,Y),z(X,Y)) ) ).
% 61.53/61.63
% 61.53/61.63 cnf(clause4,negated_conjecture,
% 61.53/61.63 ( f(b,z(X,Y))
% 61.53/61.63 | f(X,z(X,Y))
% 61.53/61.63 | f(z(X,Y),z(X,Y)) ) ).
% 61.53/61.63
% 61.53/61.63 cnf(clause5,negated_conjecture,
% 61.53/61.63 ( ~ f(b,z(X,Y))
% 61.53/61.63 | ~ f(X,z(X,Y))
% 61.53/61.63 | f(z(X,Y),z(X,Y)) ) ).
% 61.53/61.63
% 61.53/61.63 cnf(clause6,negated_conjecture,
% 61.53/61.63 ( ~ f(X,Y)
% 61.53/61.63 | ~ f(X,z(X,Y))
% 61.53/61.63 | ~ f(Y,z(X,Y)) ) ).
% 61.53/61.63
% 61.53/61.63 cnf(clause7,negated_conjecture,
% 61.53/61.63 ( ~ f(X,Y)
% 61.53/61.63 | f(X,z(X,Y))
% 61.53/61.63 | f(Y,z(X,Y)) ) ).
% 61.53/61.63
% 61.53/61.63 %--------------------------------------------------------------------------
% 61.53/61.63 %-------------------------------------------
% 61.53/61.63 % Proof found
% 61.53/61.63 % SZS status Theorem for theBenchmark
% 61.53/61.63 % SZS output start Proof
% 61.53/61.64 %ClaNum:7(EqnAxiom:0)
% 61.53/61.64 %VarNum:47(SingletonVarNum:12)
% 61.53/61.64 %MaxLitNum:3
% 61.53/61.64 %MaxfuncDepth:1
% 61.53/61.64 %SharedTerms:3
% 61.53/61.64 %goalClause: 1 2 3 4 5 6 7
% 61.53/61.64 %singleGoalClaCount:1
% 61.53/61.64 [1]P1(a1,a2)
% 61.53/61.64 [2]P1(x21,x22)+P1(f3(x21,x22),f3(x21,x22))
% 61.53/61.64 [3]~P1(x32,x31)+P1(x31,f3(x32,x31))+P1(a2,f3(x32,x31))
% 61.53/61.64 [4]~P1(x42,x41)+P1(x41,f3(x42,x41))+P1(x42,f3(x42,x41))
% 61.53/61.64 [5]P1(f3(x51,x52),f3(x51,x52))+P1(x51,f3(x51,x52))+P1(a2,f3(x51,x52))
% 61.53/61.64 [6]~P1(x61,x62)+~P1(x62,f3(x61,x62))+~P1(x61,f3(x61,x62))
% 61.53/61.64 [7]P1(f3(x71,x72),f3(x71,x72))+~P1(x71,f3(x71,x72))+~P1(a2,f3(x71,x72))
% 61.53/61.64 %EqnAxiom
% 61.53/61.64
% 61.53/61.64 %-------------------------------------------
% 61.53/61.65 cnf(12,plain,
% 61.53/61.65 (~P1(a1,f3(a1,a2))),
% 61.53/61.65 inference(scs_inference,[],[1,3,6])).
% 61.53/61.65 cnf(25,plain,
% 61.53/61.65 (P1(f3(a1,f3(a1,a2)),f3(f3(a1,f3(a1,a2)),f3(a1,f3(a1,a2))))),
% 61.53/61.65 inference(scs_inference,[],[12,2,4])).
% 61.53/61.65 cnf(27,plain,
% 61.53/61.65 (~P1(f3(a1,f3(a1,a2)),f3(f3(a1,f3(a1,a2)),f3(a1,f3(a1,a2))))),
% 61.53/61.65 inference(scs_inference,[],[12,2,6])).
% 61.53/61.65 cnf(30,plain,
% 61.53/61.65 ($false),
% 61.53/61.65 inference(scs_inference,[],[25,27]),
% 61.53/61.65 ['proof']).
% 61.53/61.65 % SZS output end Proof
% 61.53/61.65 % Total time :61.000000s
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