TSTP Solution File: SYN350-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN350-1 : 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 01:45:21 EDT 2023
% Result : Unsatisfiable 0.52s 0.65s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN350-1 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.12 % 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 20:06:35 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.48/0.56 start to proof:theBenchmark
% 0.52/0.64 %-------------------------------------------
% 0.52/0.64 % File :CSE---1.6
% 0.52/0.64 % Problem :theBenchmark
% 0.52/0.64 % Transform :cnf
% 0.52/0.64 % Format :tptp:raw
% 0.52/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.64
% 0.52/0.64 % Result :Theorem 0.040000s
% 0.52/0.64 % Output :CNFRefutation 0.040000s
% 0.52/0.64 %-------------------------------------------
% 0.52/0.65 %--------------------------------------------------------------------------
% 0.52/0.65 % File : SYN350-1 : TPTP v8.1.2. Released v1.2.0.
% 0.52/0.65 % Domain : Syntactic
% 0.52/0.65 % Problem : Church problem 46.18 (2)
% 0.52/0.65 % Version : Especial.
% 0.52/0.65 % English :
% 0.52/0.65
% 0.52/0.65 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.52/0.65 % : [FL+93] Fermuller et al. (1993), Resolution Methods for the De
% 0.52/0.65 % : [Tam94] Tammet (1994), Email to Geoff Sutcliffe.
% 0.52/0.65 % Source : [Tam94]
% 0.52/0.65 % Names : Ch18N2 [Tam94]
% 0.52/0.65
% 0.52/0.65 % Status : Unsatisfiable
% 0.52/0.65 % Rating : 0.00 v2.0.0
% 0.52/0.65 % Syntax : Number of clauses : 6 ( 0 unt; 2 nHn; 5 RR)
% 0.52/0.65 % Number of literals : 16 ( 0 equ; 8 neg)
% 0.52/0.65 % Maximal clause size : 3 ( 2 avg)
% 0.52/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.52/0.65 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 0.52/0.65 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% 0.52/0.65 % Number of variables : 12 ( 0 sgn)
% 0.52/0.65 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.52/0.65
% 0.52/0.65 % Comments : All the problems here can be decided by using a certain
% 0.52/0.65 % completeness-preserving term ordering strategies. See [FL+93].
% 0.52/0.65 % : The conversion from the full 1st order form in [Chu56]
% 0.52/0.65 % to clause form was done by hand by Tanel Tammet.
% 0.52/0.65 %--------------------------------------------------------------------------
% 0.52/0.65 cnf(clause1,negated_conjecture,
% 0.52/0.65 ( ~ f(a,z(X,Y))
% 0.52/0.65 | f(z(X,Y),a) ) ).
% 0.52/0.65
% 0.52/0.65 cnf(clause2,negated_conjecture,
% 0.52/0.65 ( f(a,z(X,Y))
% 0.52/0.65 | ~ f(z(X,Y),a) ) ).
% 0.52/0.65
% 0.52/0.65 cnf(clause3,negated_conjecture,
% 0.52/0.65 ( f(a,z(X,Y))
% 0.52/0.65 | f(Y,z(X,Y))
% 0.52/0.65 | f(X,z(X,Y)) ) ).
% 0.52/0.65
% 0.52/0.65 cnf(clause4,negated_conjecture,
% 0.52/0.65 ( ~ f(a,z(X,Y))
% 0.52/0.65 | ~ f(Y,z(X,Y))
% 0.52/0.65 | f(X,z(X,Y)) ) ).
% 0.52/0.65
% 0.52/0.65 cnf(clause5,negated_conjecture,
% 0.52/0.65 ( f(a,z(X,Y))
% 0.52/0.65 | f(Y,z(X,Y))
% 0.52/0.65 | ~ f(X,Y) ) ).
% 0.52/0.65
% 0.52/0.65 cnf(clause6,negated_conjecture,
% 0.52/0.65 ( ~ f(a,z(X,Y))
% 0.52/0.65 | ~ f(Y,z(X,Y))
% 0.52/0.65 | ~ f(X,Y) ) ).
% 0.52/0.65
% 0.52/0.65 %--------------------------------------------------------------------------
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 % Proof found
% 0.52/0.65 % SZS status Theorem for theBenchmark
% 0.52/0.65 % SZS output start Proof
% 0.52/0.65 %ClaNum:6(EqnAxiom:0)
% 0.52/0.65 %VarNum:38(SingletonVarNum:12)
% 0.52/0.65 %MaxLitNum:3
% 0.52/0.65 %MaxfuncDepth:1
% 0.52/0.65 %SharedTerms:1
% 0.52/0.65 %goalClause: 1 2 3 4 5 6
% 0.52/0.65 [1]P1(a1,f2(x11,x12))+~P1(f2(x11,x12),a1)
% 0.52/0.65 [2]P1(f2(x21,x22),a1)+~P1(a1,f2(x21,x22))
% 0.52/0.65 [3]~P1(x32,x31)+P1(x31,f2(x32,x31))+P1(a1,f2(x32,x31))
% 0.52/0.65 [4]P1(x41,f2(x42,x41))+P1(x42,f2(x42,x41))+P1(a1,f2(x42,x41))
% 0.52/0.65 [5]~P1(x51,x52)+~P1(x52,f2(x51,x52))+~P1(a1,f2(x51,x52))
% 0.52/0.65 [6]P1(x61,f2(x61,x62))+~P1(x62,f2(x61,x62))+~P1(a1,f2(x61,x62))
% 0.52/0.65 %EqnAxiom
% 0.52/0.65
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 cnf(8,plain,
% 0.52/0.65 (P1(a1,f2(f2(x81,x82),a1))+~P1(a1,f2(x81,x82))),
% 0.52/0.65 inference(scs_inference,[],[3,2])).
% 0.52/0.65 cnf(9,plain,
% 0.52/0.65 (P1(a1,f2(f2(x91,x92),a1))+~P1(f2(x91,x92),a1)),
% 0.52/0.65 inference(scs_inference,[],[8,1])).
% 0.52/0.65 cnf(10,plain,
% 0.52/0.65 (~P1(f2(x101,x102),a1)+P1(f2(f2(x101,x102),a1),a1)),
% 0.52/0.65 inference(scs_inference,[],[9,2])).
% 0.52/0.65 cnf(11,plain,
% 0.52/0.65 (P1(f2(f2(x111,x112),a1),a1)+~P1(a1,f2(x111,x112))),
% 0.52/0.65 inference(scs_inference,[],[10,2])).
% 0.52/0.65 cnf(27,plain,
% 0.52/0.65 (~P1(x271,x272)+~P1(x272,f2(x271,x272))+~P1(f2(x271,x272),a1)),
% 0.52/0.65 inference(scs_inference,[],[1,5])).
% 0.52/0.65 cnf(28,plain,
% 0.52/0.65 (~P1(x281,a1)+~P1(f2(x281,a1),a1)),
% 0.52/0.65 inference(scs_inference,[],[27,1])).
% 0.52/0.65 cnf(31,plain,
% 0.52/0.65 (~P1(f2(x311,x312),a1)),
% 0.52/0.65 inference(scs_inference,[],[28,10])).
% 0.52/0.65 cnf(36,plain,
% 0.52/0.65 ($false),
% 0.52/0.65 inference(scs_inference,[],[31,11,3,4]),
% 0.52/0.65 ['proof']).
% 0.52/0.65 % SZS output end Proof
% 0.52/0.65 % Total time :0.040000s
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