TSTP Solution File: SYN082+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN082+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 : 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 01:44:07 EDT 2023
% Result : Theorem 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN082+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 19:10:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.000000s
% 0.20/0.63 % Output :CNFRefutation 0.000000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 % File : SYN082+1 : TPTP v8.1.2. Released v2.0.0.
% 0.20/0.63 % Domain : Syntactic
% 0.20/0.63 % Problem : Pelletier Problem 60
% 0.20/0.63 % Version : Especial.
% 0.20/0.63 % English :
% 0.20/0.63
% 0.20/0.63 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.20/0.63 % : [Pel88] Pelletier (1988), Errata
% 0.20/0.63 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% 0.20/0.63 % Source : [Hah94]
% 0.20/0.63 % Names : Pelletier 60 [Pel86]
% 0.20/0.63
% 0.20/0.63 % Status : Theorem
% 0.20/0.63 % Rating : 0.07 v8.1.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v2.1.0
% 0.20/0.63 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.20/0.63 % Number of atoms : 4 ( 0 equ)
% 0.20/0.63 % Maximal formula atoms : 4 ( 4 avg)
% 0.20/0.63 % Number of connectives : 3 ( 0 ~; 0 |; 1 &)
% 0.20/0.63 % ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.63 % Maximal formula depth : 7 ( 7 avg)
% 0.20/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.63 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 0.20/0.63 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% 0.20/0.63 % Number of variables : 3 ( 2 !; 1 ?)
% 0.20/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.63
% 0.20/0.63 % Comments : This problem is incorrect in [Pel86] and is corrected in [Pel88].
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 fof(pel60,conjecture,
% 0.20/0.63 ! [X] :
% 0.20/0.63 ( big_f(X,f(X))
% 0.20/0.63 <=> ? [Y] :
% 0.20/0.63 ( ! [Z] :
% 0.20/0.63 ( big_f(Z,Y)
% 0.20/0.63 => big_f(Z,f(X)) )
% 0.20/0.63 & big_f(X,Y) ) ) ).
% 0.20/0.63
% 0.20/0.63 %--------------------------------------------------------------------------
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark
% 0.20/0.63 % SZS output start Proof
% 0.20/0.64 %ClaNum:4(EqnAxiom:0)
% 0.20/0.64 %VarNum:7(SingletonVarNum:3)
% 0.20/0.64 %MaxLitNum:3
% 0.20/0.64 %MaxfuncDepth:1
% 0.20/0.64 %SharedTerms:6
% 0.20/0.64 %goalClause: 1 2 3 4
% 0.20/0.64 [1]P1(a1,a2)+P1(a1,f4(a1))
% 0.20/0.64 [2]~P1(x21,a2)+P1(x21,f4(a1))+P1(a1,f4(a1))
% 0.20/0.64 [3]~P1(a1,x31)+P1(f3(x31),x31)+~P1(a1,f4(a1))
% 0.20/0.64 [4]~P1(a1,x41)+~P1(f3(x41),f4(a1))+~P1(a1,f4(a1))
% 0.20/0.64 %EqnAxiom
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 cnf(5,plain,
% 0.20/0.64 (P1(a1,f4(a1))),
% 0.20/0.64 inference(scs_inference,[],[1,2])).
% 0.20/0.64 cnf(6,plain,
% 0.20/0.64 (P1(f3(x61),x61)+~P1(a1,x61)),
% 0.20/0.64 inference(scs_inference,[],[5,3])).
% 0.20/0.64 cnf(7,plain,
% 0.20/0.64 (~P1(a1,x71)+~P1(f3(x71),f4(a1))),
% 0.20/0.64 inference(scs_inference,[],[5,4])).
% 0.20/0.64 cnf(10,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[5,7,6]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.000000s
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