TSTP Solution File: SYN084+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 01:44:08 EDT 2023
% Result : Theorem 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 : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n005.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 17:06:23 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 %-------------------------------------------
% 0.19/0.63 %--------------------------------------------------------------------------
% 0.19/0.63 % File : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% 0.19/0.63 % Domain : Syntactic
% 0.19/0.63 % Problem : Pelletier Problem 62
% 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 % : [Pel88] Pelletier (1988), Errata
% 0.19/0.63 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% 0.19/0.63 % : [Pel95] Pelletier (1995), Email to G. Sutcliffe
% 0.19/0.63 % Source : [Hah94]
% 0.19/0.63 % Names : Pelletier 62 [Pel86]
% 0.19/0.63
% 0.19/0.63 % Status : Theorem
% 0.19/0.63 % Rating : 0.00 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.00 v2.1.0
% 0.19/0.63 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.19/0.63 % Number of atoms : 10 ( 0 equ)
% 0.19/0.63 % Maximal formula atoms : 10 ( 10 avg)
% 0.19/0.63 % Number of connectives : 12 ( 3 ~; 4 |; 2 &)
% 0.19/0.63 % ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% 0.19/0.63 % Maximal formula depth : 7 ( 7 avg)
% 0.19/0.63 % Maximal term depth : 3 ( 2 avg)
% 0.19/0.63 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 0.19/0.63 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% 0.19/0.63 % Number of variables : 2 ( 2 !; 0 ?)
% 0.19/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.63
% 0.19/0.63 % Comments : This problem is incorrect in [Pel86] and is 'corrected' in
% 0.19/0.63 % [Pel88]. The 1988 version is broken too [Pel95]. This is the
% 0.19/0.63 % correct version.
% 0.19/0.63 %--------------------------------------------------------------------------
% 0.19/0.63 fof(pel62,conjecture,
% 0.19/0.63 ( ! [X] :
% 0.19/0.63 ( ( big_p(a)
% 0.19/0.63 & ( big_p(X)
% 0.19/0.63 => big_p(f(X)) ) )
% 0.19/0.63 => big_p(f(f(X))) )
% 0.19/0.63 <=> ! [X1] :
% 0.19/0.63 ( ( ~ big_p(a)
% 0.19/0.63 | big_p(X1)
% 0.19/0.63 | big_p(f(f(X1))) )
% 0.19/0.63 & ( ~ big_p(a)
% 0.19/0.63 | ~ big_p(f(X1))
% 0.19/0.63 | big_p(f(f(X1))) ) ) ) ).
% 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:31(EqnAxiom:0)
% 0.19/0.63 %VarNum:8(SingletonVarNum:4)
% 0.19/0.63 %MaxLitNum:5
% 0.19/0.63 %MaxfuncDepth:2
% 0.19/0.63 %SharedTerms:15
% 0.19/0.63 %goalClause: 1 8 17 18 23 27 31
% 0.19/0.63 %singleGoalClaCount:1
% 0.19/0.63 [1]P1(a1)
% 0.19/0.63 [23]~P1(f4(f4(a3)))+~P1(f4(f4(a2)))
% 0.19/0.63 [17]~P1(a3)+P1(f4(a3))+~P1(f4(f4(a2)))
% 0.19/0.63 [18]~P1(a2)+P1(f4(a2))+~P1(f4(f4(a3)))
% 0.19/0.63 [8]~P1(a3)+~P1(a2)+P1(f4(a3))+P1(f4(a2))
% 0.19/0.63 [27]P1(x271)+P1(x272)+~P1(a1)+P1(f4(f4(x271)))+P1(f4(f4(x272)))
% 0.19/0.63 [31]~P1(a1)+~P1(f4(x311))+~P1(f4(x312))+P1(f4(f4(x311)))+P1(f4(f4(x312)))
% 0.19/0.63 %EqnAxiom
% 0.19/0.63
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 cnf(32,plain,
% 0.19/0.63 (P1(x321)+P1(x322)+P1(f4(f4(x322)))+P1(f4(f4(x321)))),
% 0.19/0.63 inference(scs_inference,[],[1,27])).
% 0.19/0.63 cnf(34,plain,
% 0.19/0.63 (~P1(f4(x341))+~P1(f4(x342))+P1(f4(f4(x341)))+P1(f4(f4(x342)))),
% 0.19/0.63 inference(scs_inference,[],[1,31])).
% 0.19/0.63 cnf(35,plain,
% 0.19/0.63 (P1(a3)+~P1(f4(f4(a2)))),
% 0.19/0.63 inference(scs_inference,[],[23,32])).
% 0.19/0.63 cnf(36,plain,
% 0.19/0.63 (P1(f4(a3))+~P1(f4(f4(a2)))),
% 0.19/0.63 inference(scs_inference,[],[35,17])).
% 0.19/0.63 cnf(37,plain,
% 0.19/0.63 (P1(f4(f4(a3)))+~P1(f4(f4(a2)))),
% 0.19/0.63 inference(scs_inference,[],[36,34])).
% 0.19/0.63 cnf(38,plain,
% 0.19/0.63 (~P1(f4(f4(a2)))),
% 0.19/0.63 inference(scs_inference,[],[37,23])).
% 0.19/0.63 cnf(39,plain,
% 0.19/0.63 (~P1(f4(a2))),
% 0.19/0.63 inference(scs_inference,[],[38,34])).
% 0.19/0.63 cnf(40,plain,
% 0.19/0.63 (~P1(a2)+~P1(a3)+P1(f4(a3))),
% 0.19/0.63 inference(scs_inference,[],[39,8])).
% 0.19/0.63 cnf(41,plain,
% 0.19/0.63 (~P1(a2)+~P1(f4(f4(a3)))),
% 0.19/0.63 inference(scs_inference,[],[39,18])).
% 0.19/0.63 cnf(42,plain,
% 0.19/0.63 (~P1(f4(f4(a3)))),
% 0.19/0.63 inference(scs_inference,[],[38,41,32])).
% 0.19/0.63 cnf(43,plain,
% 0.19/0.63 (P1(a2)),
% 0.19/0.63 inference(scs_inference,[],[38,32])).
% 0.19/0.63 cnf(44,plain,
% 0.19/0.63 (~P1(a3)+P1(f4(a3))),
% 0.19/0.63 inference(scs_inference,[],[43,40])).
% 0.19/0.63 cnf(45,plain,
% 0.19/0.63 (P1(f4(a3))),
% 0.19/0.63 inference(scs_inference,[],[42,44,32])).
% 0.19/0.63 cnf(46,plain,
% 0.19/0.63 ($false),
% 0.19/0.63 inference(scs_inference,[],[45,42,34]),
% 0.19/0.63 ['proof']).
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------