TSTP Solution File: LCL684+1.001 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL684+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 : n023.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 06:50:28 EDT 2023
% Result : Theorem 0.55s 0.59s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL684+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Thu Aug 24 19:39:42 EDT 2023
% 0.14/0.33 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.55/0.59 %-------------------------------------------
% 0.55/0.59 % File :CSE---1.6
% 0.55/0.59 % Problem :theBenchmark
% 0.55/0.59 % Transform :cnf
% 0.55/0.59 % Format :tptp:raw
% 0.55/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.59
% 0.55/0.59 % Result :Theorem 0.000000s
% 0.55/0.59 % Output :CNFRefutation 0.000000s
% 0.55/0.59 %-------------------------------------------
% 0.55/0.59 %------------------------------------------------------------------------------
% 0.55/0.59 % File : LCL684+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.55/0.59 % Domain : Logic Calculi (Modal Logic)
% 0.55/0.59 % Problem : In S4, pigeonhole formulae, size 1
% 0.55/0.59 % Version : Especial.
% 0.55/0.59 % English :
% 0.55/0.59
% 0.55/0.59 % Refs : [BHS00] Balsiger et al. (2000), A Benchmark Method for the Pro
% 0.55/0.59 % : [Kam08] Kaminski (2008), Email to G. Sutcliffe
% 0.55/0.59 % Source : [Kam08]
% 0.55/0.59 % Names : s4_ph_p [BHS00]
% 0.55/0.59
% 0.55/0.59 % Status : Theorem
% 0.55/0.59 % 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
% 0.55/0.59 % Syntax : Number of formulae : 3 ( 1 unt; 0 def)
% 0.55/0.59 % Number of atoms : 10 ( 0 equ)
% 0.55/0.59 % Maximal formula atoms : 6 ( 3 avg)
% 0.55/0.59 % Number of connectives : 14 ( 7 ~; 3 |; 3 &)
% 0.55/0.59 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.55/0.59 % Maximal formula depth : 12 ( 7 avg)
% 0.55/0.59 % Maximal term depth : 1 ( 1 avg)
% 0.55/0.59 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.55/0.59 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.55/0.59 % Number of variables : 7 ( 6 !; 1 ?)
% 0.55/0.59 % SPC : FOF_THM_EPR_NEQ
% 0.55/0.59
% 0.55/0.59 % Comments : A naive relational encoding of the modal logic problem into
% 0.55/0.59 % first-order logic.
% 0.55/0.59 %------------------------------------------------------------------------------
% 0.55/0.59 fof(reflexivity,axiom,
% 0.55/0.59 ! [X] : r1(X,X) ).
% 0.55/0.59
% 0.55/0.59 fof(transitivity,axiom,
% 0.55/0.59 ! [X,Y,Z] :
% 0.55/0.59 ( ( r1(X,Y)
% 0.55/0.59 & r1(Y,Z) )
% 0.55/0.59 => r1(X,Z) ) ).
% 0.55/0.59
% 0.55/0.59 fof(main,conjecture,
% 0.55/0.59 ~ ? [X] :
% 0.55/0.59 ~ ( ~ ! [Y] :
% 0.55/0.59 ( ~ r1(X,Y)
% 0.55/0.59 | ! [X] :
% 0.55/0.59 ( ~ r1(Y,X)
% 0.55/0.59 | ~ ( p201(X)
% 0.55/0.59 & p101(X) ) ) )
% 0.55/0.59 | ~ ( p201(X)
% 0.55/0.59 & p101(X) ) ) ).
% 0.55/0.59
% 0.55/0.59 %------------------------------------------------------------------------------
% 0.55/0.59 %-------------------------------------------
% 0.55/0.59 % Proof found
% 0.55/0.59 % SZS status Theorem for theBenchmark
% 0.55/0.59 % SZS output start Proof
% 0.55/0.59 %ClaNum:5(EqnAxiom:0)
% 0.55/0.59 %VarNum:13(SingletonVarNum:6)
% 0.55/0.59 %MaxLitNum:4
% 0.55/0.59 %MaxfuncDepth:0
% 0.55/0.59 %SharedTerms:3
% 0.55/0.59 %goalClause: 1 2 4
% 0.55/0.59 %singleGoalClaCount:2
% 0.55/0.59 [1]P1(a1)
% 0.55/0.59 [2]P2(a1)
% 0.55/0.59 [3]P3(x31,x31)
% 0.55/0.59 [5]~P3(x51,x53)+P3(x51,x52)+~P3(x53,x52)
% 0.55/0.59 [4]~P2(x41)+~P1(x41)+~P3(x42,x41)+~P3(a1,x42)
% 0.55/0.59 %EqnAxiom
% 0.55/0.59
% 0.55/0.59 %-------------------------------------------
% 0.55/0.59 cnf(6,plain,
% 0.55/0.59 ($false),
% 0.55/0.59 inference(scs_inference,[],[2,1,3,4]),
% 0.55/0.59 ['proof']).
% 0.55/0.59 % SZS output end Proof
% 0.55/0.59 % Total time :0.000000s
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