TSTP Solution File: SYN365+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN365+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 : n022.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 01:45:27 EDT 2023
% Result : Theorem 0.19s 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN365+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
% 0.13/0.34 % Computer : n022.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 18:05:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 % File : SYN365+1 : TPTP v8.1.2. Released v2.0.0.
% 0.19/0.61 % Domain : Syntactic
% 0.19/0.61 % Problem : Peter Andrews Problem X2116
% 0.19/0.61 % Version : Especial.
% 0.19/0.61 % English :
% 0.19/0.61
% 0.19/0.61 % Refs : [And86] Andrews (1986), An Introduction to Mathematical Logic
% 0.19/0.61 % : [And94] Andrews (1994), Email to G. Sutcliffe
% 0.19/0.61 % Source : [And94]
% 0.19/0.61 % Names : X2116 [And86]
% 0.19/0.61
% 0.19/0.61 % Status : Theorem
% 0.19/0.61 % Rating : 0.00 v5.5.0, 0.04 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
% 0.19/0.61 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.19/0.61 % Number of atoms : 9 ( 0 equ)
% 0.19/0.61 % Maximal formula atoms : 9 ( 9 avg)
% 0.19/0.61 % Number of connectives : 8 ( 0 ~; 0 |; 4 &)
% 0.19/0.61 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.19/0.61 % Maximal formula depth : 7 ( 7 avg)
% 0.19/0.61 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.61 % Number of predicates : 2 ( 2 usr; 0 prp; 1-2 aty)
% 0.19/0.61 % Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% 0.19/0.61 % Number of variables : 5 ( 3 !; 2 ?)
% 0.19/0.61 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.61
% 0.19/0.61 % Comments :
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 fof(x2116,conjecture,
% 0.19/0.61 ( ( ! [X] :
% 0.19/0.61 ? [Y] :
% 0.19/0.61 ( big_p(X)
% 0.19/0.61 => ( big_r(X,g(h(Y)))
% 0.19/0.61 & big_p(Y) ) )
% 0.19/0.61 & ! [W] :
% 0.19/0.61 ( big_p(W)
% 0.19/0.61 => ( big_p(g(W))
% 0.19/0.61 & big_p(h(W)) ) ) )
% 0.19/0.61 => ! [X] :
% 0.19/0.61 ( big_p(X)
% 0.19/0.61 => ? [Y] :
% 0.19/0.61 ( big_r(X,Y)
% 0.19/0.61 & big_p(Y) ) ) ) ).
% 0.19/0.61
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % Proof found
% 0.19/0.61 % SZS status Theorem for theBenchmark
% 0.19/0.61 % SZS output start Proof
% 0.19/0.61 %ClaNum:6(EqnAxiom:0)
% 0.19/0.61 %VarNum:11(SingletonVarNum:5)
% 0.19/0.61 %MaxLitNum:2
% 0.19/0.61 %MaxfuncDepth:3
% 0.19/0.62 %SharedTerms:2
% 0.19/0.62 %goalClause: 1 2 3 4 5 6
% 0.19/0.62 %singleGoalClaCount:1
% 0.19/0.62 [1]P1(a1)
% 0.19/0.62 [5]~P1(x51)+~P2(a1,x51)
% 0.19/0.62 [2]~P1(x21)+P1(f3(x21))
% 0.19/0.62 [3]~P1(x31)+P1(f4(x31))
% 0.19/0.62 [4]~P1(x41)+P1(f2(x41))
% 0.19/0.62 [6]~P1(x61)+P2(x61,f4(f3(f2(x61))))
% 0.19/0.62 %EqnAxiom
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 cnf(8,plain,
% 0.19/0.62 (P2(a1,f4(f3(f2(a1))))),
% 0.19/0.62 inference(scs_inference,[],[1,5,6])).
% 0.19/0.62 cnf(9,plain,
% 0.19/0.62 (P1(f2(a1))),
% 0.19/0.62 inference(scs_inference,[],[1,5,6,4])).
% 0.19/0.62 cnf(19,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[9,8,5,3,2]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
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