TSTP Solution File: SYN355+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN355+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 : 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 01:45:23 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 : SYN355+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
% 0.17/0.34 % Computer : n026.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sat Aug 26 21:52:33 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % File :CSE---1.6
% 0.19/0.60 % Problem :theBenchmark
% 0.19/0.60 % Transform :cnf
% 0.19/0.60 % Format :tptp:raw
% 0.19/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.60
% 0.19/0.60 % Result :Theorem 0.000000s
% 0.19/0.60 % Output :CNFRefutation 0.000000s
% 0.19/0.60 %-------------------------------------------
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 % File : SYN355+1 : TPTP v8.1.2. Released v2.0.0.
% 0.19/0.61 % Domain : Syntactic
% 0.19/0.61 % Problem : Peter Andrews Problem X2106
% 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 : X2106 [And86]
% 0.19/0.61
% 0.19/0.61 % Status : Theorem
% 0.19/0.61 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 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 : 6 ( 0 equ)
% 0.19/0.61 % Maximal formula atoms : 6 ( 6 avg)
% 0.19/0.61 % Number of connectives : 6 ( 1 ~; 1 |; 1 &)
% 0.19/0.61 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.19/0.61 % Maximal formula depth : 6 ( 6 avg)
% 0.19/0.61 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.61 % Number of predicates : 3 ( 3 usr; 0 prp; 1-1 aty)
% 0.19/0.61 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.61 % Number of variables : 3 ( 3 !; 0 ?)
% 0.19/0.61 % SPC : FOF_THM_EPR_NEQ
% 0.19/0.61
% 0.19/0.61 % Comments :
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 fof(x2106,conjecture,
% 0.19/0.61 ( ( ! [X] :
% 0.19/0.61 ( big_r(X)
% 0.19/0.61 => big_p(X) )
% 0.19/0.61 & ! [X] :
% 0.19/0.61 ( ~ big_q(X)
% 0.19/0.61 => big_r(X) ) )
% 0.19/0.61 => ! [X] :
% 0.19/0.61 ( big_p(X)
% 0.19/0.61 | big_q(X) ) ) ).
% 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:4(EqnAxiom:0)
% 0.19/0.61 %VarNum:4(SingletonVarNum:2)
% 0.19/0.61 %MaxLitNum:2
% 0.19/0.61 %MaxfuncDepth:0
% 0.19/0.61 %SharedTerms:3
% 0.19/0.61 %goalClause: 1 2 3 4
% 0.19/0.61 %singleGoalClaCount:2
% 0.19/0.61 [1]~P1(a1)
% 0.19/0.61 [2]~P2(a1)
% 0.19/0.61 [3]P2(x31)+P3(x31)
% 0.19/0.61 [4]~P3(x41)+P1(x41)
% 0.19/0.61 %EqnAxiom
% 0.19/0.61
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 cnf(6,plain,
% 0.19/0.61 ($false),
% 0.19/0.61 inference(scs_inference,[],[1,2,4,3]),
% 0.19/0.61 ['proof']).
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time :0.000000s
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