TSTP Solution File: SYN354-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN354-1 : 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 : n027.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 01:45:23 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 : SYN354-1 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n027.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 17:33:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % File :CSE---1.6
% 0.19/0.62 % Problem :theBenchmark
% 0.19/0.62 % Transform :cnf
% 0.19/0.62 % Format :tptp:raw
% 0.19/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.62
% 0.19/0.62 % Result :Theorem 0.000000s
% 0.19/0.62 % Output :CNFRefutation 0.000000s
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 % File : SYN354-1 : TPTP v8.1.2. Released v1.2.0.
% 0.19/0.62 % Domain : Syntactic
% 0.19/0.62 % Problem : Church problem 46.20 (1)
% 0.19/0.62 % Version : Especial.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.19/0.62 % : [FL+93] Fermuller et al. (1993), Resolution Methods for the De
% 0.19/0.62 % : [Tam94] Tammet (1994), Email to Geoff Sutcliffe.
% 0.19/0.62 % Source : [Tam94]
% 0.19/0.62 % Names : Ch20N1 [Tam94]
% 0.19/0.62
% 0.19/0.62 % Status : Unsatisfiable
% 0.19/0.62 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v2.0.0
% 0.19/0.62 % Syntax : Number of clauses : 7 ( 2 unt; 1 nHn; 7 RR)
% 0.19/0.63 % Number of literals : 17 ( 0 equ; 9 neg)
% 0.19/0.63 % Maximal clause size : 4 ( 2 avg)
% 0.19/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.63 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% 0.19/0.63 % Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% 0.19/0.63 % Number of variables : 10 ( 1 sgn)
% 0.19/0.63 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.19/0.63
% 0.19/0.63 % Comments : All the problems here can be decided by using a certain
% 0.19/0.63 % completeness-preserving term ordering strategies. See [FL+93].
% 0.19/0.63 % : The conversion from the full 1st order form in [Chu56]
% 0.19/0.63 % to clause form was done by hand by Tanel Tammet.
% 0.19/0.63 %--------------------------------------------------------------------------
% 0.19/0.63 cnf(clause1,negated_conjecture,
% 0.19/0.63 f(a,b) ).
% 0.19/0.63
% 0.19/0.63 cnf(clause2,negated_conjecture,
% 0.19/0.63 g(a,b) ).
% 0.19/0.63
% 0.19/0.63 cnf(clause3,negated_conjecture,
% 0.19/0.63 ( g(b,z(Y1,Y2))
% 0.19/0.63 | g(Y2,z(Y1,Y2))
% 0.19/0.63 | ~ f(Y1,Y2)
% 0.19/0.63 | f(b,Y2) ) ).
% 0.19/0.63
% 0.19/0.63 cnf(clause4,negated_conjecture,
% 0.19/0.63 ( ~ g(b,z(Y1,Y2))
% 0.19/0.63 | ~ g(Y2,z(Y1,Y2))
% 0.19/0.63 | ~ f(Y1,Y2)
% 0.19/0.63 | f(b,Y2) ) ).
% 0.19/0.63
% 0.19/0.63 cnf(clause5,negated_conjecture,
% 0.19/0.63 ( g(b,z(Y1,Y2))
% 0.19/0.63 | ~ g(Y1,z(Y1,Y2)) ) ).
% 0.19/0.63
% 0.19/0.63 cnf(clause6,negated_conjecture,
% 0.19/0.63 ( ~ g(b,z(Y1,Y2))
% 0.19/0.63 | g(Y1,z(Y1,Y2)) ) ).
% 0.19/0.63
% 0.19/0.63 cnf(clause7,negated_conjecture,
% 0.19/0.63 ( ~ f(a,Y1)
% 0.19/0.63 | ~ f(b,Y1)
% 0.19/0.63 | ~ f(Y1,Y2) ) ).
% 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
% 0.19/0.63 %ClaNum:7(EqnAxiom:0)
% 0.19/0.63 %VarNum:30(SingletonVarNum:10)
% 0.19/0.63 %MaxLitNum:4
% 0.19/0.63 %MaxfuncDepth:1
% 0.19/0.63 %SharedTerms:4
% 0.19/0.63 %goalClause: 1 2 3 4 5 6 7
% 0.19/0.63 %singleGoalClaCount:2
% 0.19/0.63 [1]P1(a1,a2)
% 0.19/0.63 [2]P2(a1,a2)
% 0.19/0.63 [4]P2(x41,f3(x41,x42))+~P2(a2,f3(x41,x42))
% 0.19/0.63 [5]~P2(x51,f3(x51,x52))+P2(a2,f3(x51,x52))
% 0.19/0.63 [3]~P1(x31,x32)+~P1(a1,x31)+~P1(a2,x31)
% 0.19/0.63 [6]~P1(x62,x61)+P2(x61,f3(x62,x61))+P1(a2,x61)+P2(a2,f3(x62,x61))
% 0.19/0.63 [7]~P1(x72,x71)+~P2(x71,f3(x72,x71))+P1(a2,x71)+~P2(a2,f3(x72,x71))
% 0.19/0.63 %EqnAxiom
% 0.19/0.63
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 cnf(11,plain,
% 0.19/0.63 (~P1(a2,x111)+~P1(a2,a2)),
% 0.19/0.63 inference(scs_inference,[],[1,3])).
% 0.19/0.63 cnf(12,plain,
% 0.19/0.63 (~P1(a2,a2)),
% 0.19/0.63 inference(factoring_inference,[],[11])).
% 0.19/0.63 cnf(14,plain,
% 0.19/0.63 ($false),
% 0.19/0.63 inference(scs_inference,[],[12,1,7,6]),
% 0.19/0.63 ['proof']).
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time :0.000000s
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