TSTP Solution File: SYN315-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN315-1 : 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 : n026.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 01:45:08 EDT 2023
% Result : Unsatisfiable 0.16s 0.58s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN315-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.30 % Computer : n026.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sat Aug 26 21:07:34 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.16/0.53 start to proof:theBenchmark
% 0.16/0.57 %-------------------------------------------
% 0.16/0.57 % File :CSE---1.6
% 0.16/0.57 % Problem :theBenchmark
% 0.16/0.57 % Transform :cnf
% 0.16/0.57 % Format :tptp:raw
% 0.16/0.57 % Command :java -jar mcs_scs.jar %d %s
% 0.16/0.57
% 0.16/0.57 % Result :Theorem 0.000000s
% 0.16/0.57 % Output :CNFRefutation 0.000000s
% 0.16/0.57 %-------------------------------------------
% 0.16/0.57 %--------------------------------------------------------------------------
% 0.16/0.57 % File : SYN315-1 : TPTP v8.1.2. Released v1.2.0.
% 0.16/0.57 % Domain : Syntactic
% 0.16/0.57 % Problem : Church problem 46.2 (1)
% 0.16/0.58 % Version : Especial.
% 0.16/0.58 % English :
% 0.16/0.58
% 0.16/0.58 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.16/0.58 % : [FL+93] Fermuller et al. (1993), Resolution Methods for the De
% 0.16/0.58 % : [Tam94] Tammet (1994), Email to Geoff Sutcliffe.
% 0.16/0.58 % Source : [Tam94]
% 0.16/0.58 % Names : Ch2N1 [Tam94]
% 0.16/0.58
% 0.16/0.58 % Status : Unsatisfiable
% 0.16/0.58 % Rating : 0.00 v2.0.0
% 0.16/0.58 % Syntax : Number of clauses : 4 ( 0 unt; 1 nHn; 2 RR)
% 0.16/0.58 % Number of literals : 8 ( 0 equ; 4 neg)
% 0.16/0.58 % Maximal clause size : 2 ( 2 avg)
% 0.16/0.58 % Maximal term depth : 2 ( 1 avg)
% 0.16/0.58 % Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty)
% 0.16/0.58 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% 0.16/0.58 % Number of variables : 4 ( 4 sgn)
% 0.16/0.58 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.16/0.58
% 0.16/0.58 % Comments : All the problems here can be decided by using a certain
% 0.16/0.58 % completeness-preserving term ordering strategies. See [FL+93].
% 0.16/0.58 % : The conversion from the full 1st order form in [Chu56]
% 0.16/0.58 % to clause form was done by hand by Tanel Tammet.
% 0.16/0.58 %--------------------------------------------------------------------------
% 0.16/0.58 cnf(clause1,negated_conjecture,
% 0.16/0.58 ( ~ f(X)
% 0.16/0.58 | p(a) ) ).
% 0.16/0.58
% 0.16/0.58 cnf(clause2,negated_conjecture,
% 0.16/0.58 ( ~ p(a)
% 0.16/0.58 | f(X) ) ).
% 0.16/0.58
% 0.16/0.58 cnf(clause3,negated_conjecture,
% 0.16/0.58 ( ~ f(y(X))
% 0.16/0.58 | ~ p(a) ) ).
% 0.16/0.58
% 0.16/0.58 cnf(clause4,negated_conjecture,
% 0.16/0.58 ( p(a)
% 0.16/0.58 | f(y(X)) ) ).
% 0.16/0.58
% 0.16/0.58 %--------------------------------------------------------------------------
% 0.16/0.58 %-------------------------------------------
% 0.16/0.58 % Proof found
% 0.16/0.58 % SZS status Theorem for theBenchmark
% 0.16/0.58 % SZS output start Proof
% 0.16/0.58 %ClaNum:4(EqnAxiom:0)
% 0.16/0.58 %VarNum:4(SingletonVarNum:4)
% 0.16/0.58 %MaxLitNum:2
% 0.16/0.58 %MaxfuncDepth:1
% 0.16/0.58 %SharedTerms:3
% 0.16/0.58 %goalClause: 1 2 3 4
% 0.16/0.58 [1]P1(x11)+~P2(a1)
% 0.16/0.58 [2]~P1(x21)+P2(a1)
% 0.16/0.58 [3]P2(a1)+P1(f2(x31))
% 0.16/0.58 [4]~P2(a1)+~P1(f2(x41))
% 0.16/0.58 %EqnAxiom
% 0.16/0.58
% 0.16/0.58 %-------------------------------------------
% 0.16/0.58 cnf(6,plain,
% 0.16/0.58 (P1(x61)+P1(f2(x62))),
% 0.16/0.58 inference(scs_inference,[],[3,1])).
% 0.16/0.58 cnf(7,plain,
% 0.16/0.58 (~P1(x71)+~P1(f2(x72))),
% 0.16/0.58 inference(scs_inference,[],[4,2])).
% 0.16/0.58 cnf(8,plain,
% 0.16/0.58 (~P1(x81)),
% 0.16/0.58 inference(scs_inference,[],[6,7])).
% 0.16/0.58 cnf(11,plain,
% 0.16/0.58 ($false),
% 0.16/0.58 inference(scs_inference,[],[8,6]),
% 0.16/0.58 ['proof']).
% 0.16/0.58 % SZS output end Proof
% 0.16/0.58 % Total time :0.000000s
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