TSTP Solution File: LCL648+1.001 by CSE---1.6
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% File : CSE---1.6
% Problem : LCL648+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 : Thu Aug 31 06:50:03 EDT 2023
% Result : Theorem 0.19s 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL648+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 02:33:10 EDT 2023
% 0.12/0.34 % 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 : LCL648+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.19/0.61 % Domain : Logic Calculi (Modal Logic)
% 0.19/0.61 % Problem : In K, pigeonhole formulae, size 1
% 0.19/0.61 % Version : Especial.
% 0.19/0.61 % English :
% 0.19/0.61
% 0.19/0.61 % Refs : [BHS00] Balsiger et al. (2000), A Benchmark Method for the Pro
% 0.19/0.61 % : [Kam08] Kaminski (2008), Email to G. Sutcliffe
% 0.19/0.61 % Source : [Kam08]
% 0.19/0.61 % Names : k_ph_p [BHS00]
% 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 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0
% 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 : 12 ( 7 ~; 3 |; 2 &)
% 0.19/0.61 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.19/0.61 % Maximal formula depth : 10 ( 10 avg)
% 0.19/0.61 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.61 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.19/0.61 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.61 % Number of variables : 3 ( 2 !; 1 ?)
% 0.19/0.61 % SPC : FOF_THM_EPR_NEQ
% 0.19/0.61
% 0.19/0.61 % Comments : A naive relational encoding of the modal logic problem into
% 0.19/0.61 % first-order logic.
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 fof(main,conjecture,
% 0.19/0.61 ~ ? [X] :
% 0.19/0.61 ~ ( ~ ! [Y] :
% 0.19/0.61 ( ~ r1(X,Y)
% 0.19/0.61 | ~ ( p201(Y)
% 0.19/0.61 & p101(Y) ) )
% 0.19/0.61 | ! [Y] :
% 0.19/0.61 ( ~ r1(X,Y)
% 0.19/0.61 | ~ ( p201(Y)
% 0.19/0.61 & p101(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:4(EqnAxiom:0)
% 0.19/0.61 %VarNum:3(SingletonVarNum:1)
% 0.19/0.61 %MaxLitNum:3
% 0.19/0.61 %MaxfuncDepth:0
% 0.19/0.61 %SharedTerms:5
% 0.19/0.61 %goalClause: 1 2 3 4
% 0.19/0.61 %singleGoalClaCount:3
% 0.19/0.61 [1]P1(a1)
% 0.19/0.61 [2]P2(a1)
% 0.19/0.61 [3]P3(a2,a1)
% 0.19/0.61 [4]~P2(x41)+~P1(x41)+~P3(a2,x41)
% 0.19/0.61 %EqnAxiom
% 0.19/0.61
% 0.19/0.61 %-------------------------------------------
% 0.19/0.62 cnf(5,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[2,1,3,4]),
% 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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