%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : KLE051+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 : Mon Jun 24 09:59:56 EDT 2024
% Result : Theorem 0.53s 0.59s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE051+1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 22:22:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.49/0.56 start to proof:theBenchmark
% 0.53/0.59 %-------------------------------------------
% 0.53/0.59 % File :CSE---1.7
% 0.53/0.59 % Problem :theBenchmark
% 0.53/0.59 % Transform :cnf
% 0.53/0.59 % Format :tptp:raw
% 0.53/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.59
% 0.53/0.59 % Result :Theorem 0.000000s
% 0.53/0.59 % Output :CNFRefutation 0.000000s
% 0.53/0.59 %-------------------------------------------
% 0.53/0.59 %------------------------------------------------------------------------------
% 0.53/0.59 % File : KLE051+1 : TPTP v8.2.0. Released v4.0.0.
% 0.53/0.59 % Domain : Kleene Algebra (Domain Semirings)
% 0.53/0.59 % Problem : Every domain semiring is automatically isotone
% 0.53/0.59 % Version : [Hoe08] axioms.
% 0.53/0.59 % English :
% 0.53/0.59
% 0.53/0.59 % Refs : [DS08] Desharnais & Struth (2008), Modal Semirings Revisited
% 0.53/0.59 % : [Hoe08] Hoefner (2008), Email to G. Sutcliffe
% 0.53/0.59 % Source : [Hoe08]
% 0.53/0.59 % Names :
% 0.53/0.59
% 0.53/0.59 % Status : Theorem
% 0.53/0.59 % Rating : 0.00 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.00 v4.1.0, 0.04 v4.0.0
% 0.53/0.59 % Syntax : Number of formulae : 18 ( 17 unt; 0 def)
% 0.53/0.59 % Number of atoms : 19 ( 18 equ)
% 0.53/0.59 % Maximal formula atoms : 2 ( 1 avg)
% 0.53/0.59 % Number of connectives : 1 ( 0 ~; 0 |; 0 &)
% 0.53/0.59 % ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% 0.53/0.59 % Maximal formula depth : 4 ( 3 avg)
% 0.53/0.59 % Maximal term depth : 4 ( 2 avg)
% 0.53/0.59 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.53/0.59 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.53/0.59 % Number of variables : 29 ( 29 !; 0 ?)
% 0.53/0.59 % SPC : FOF_THM_RFO_SEQ
% 0.53/0.59
% 0.53/0.59 % Comments : Equational encoding
% 0.53/0.59 %------------------------------------------------------------------------------
% 0.53/0.59 %---Include axioms for domain semiring
% 0.53/0.59 include('Axioms/KLE001+0.ax').
% 0.53/0.59 %---Include axioms for domain
% 0.53/0.59 include('Axioms/KLE001+5.ax').
% 0.53/0.59 %------------------------------------------------------------------------------
% 0.53/0.59 fof(goals,conjecture,
% 0.53/0.59 ! [X0] : addition(X0,X0) = X0 ).
% 0.53/0.59
% 0.53/0.59 %------------------------------------------------------------------------------
% 0.53/0.59 %-------------------------------------------
% 0.53/0.59 % Proof found
% 0.53/0.59 % SZS status Theorem for theBenchmark
% 0.53/0.59 % SZS output start Proof
% 0.53/0.59 %ClaNum:29(EqnAxiom:10)
% 0.53/0.59 %VarNum:65(SingletonVarNum:30)
% 0.53/0.59 %MaxLitNum:2
% 0.53/0.59 %MaxfuncDepth:3
% 0.53/0.59 %SharedTerms:7
% 0.53/0.59 %goalClause: 27
% 0.53/0.59 %singleGoalClaCount:1
% 0.53/0.59 [11]E(f2(a1),a1)
% 0.53/0.59 [27]~E(f3(a5,a5),a5)
% 0.53/0.59 [12]E(f4(x121,a1),a1)
% 0.53/0.59 [13]E(f4(a1,x131),a1)
% 0.53/0.59 [14]E(f3(x141,a1),x141)
% 0.53/0.59 [15]E(f4(x151,a6),x151)
% 0.53/0.59 [16]E(f4(a6,x161),x161)
% 0.53/0.59 [17]E(f3(x171,x171),x171)
% 0.53/0.59 [18]E(f3(f2(x181),a6),a6)
% 0.53/0.59 [22]E(f3(x221,f4(f2(x221),x221)),f4(f2(x221),x221))
% 0.53/0.59 [19]E(f3(x191,x192),f3(x192,x191))
% 0.53/0.59 [20]E(f2(f3(x201,x202)),f3(f2(x201),f2(x202)))
% 0.53/0.59 [21]E(f2(f4(x211,f2(x212))),f2(f4(x211,x212)))
% 0.53/0.59 [23]E(f3(f3(x231,x232),x233),f3(x231,f3(x232,x233)))
% 0.53/0.60 [24]E(f4(f4(x241,x242),x243),f4(x241,f4(x242,x243)))
% 0.53/0.60 [25]E(f3(f4(x251,x252),f4(x251,x253)),f4(x251,f3(x252,x253)))
% 0.53/0.60 [26]E(f3(f4(x261,x262),f4(x263,x262)),f4(f3(x261,x263),x262))
% 0.53/0.60 [28]~P1(x281,x282)+E(f3(x281,x282),x282)
% 0.53/0.60 [29]P1(x291,x292)+~E(f3(x291,x292),x292)
% 0.53/0.60 %EqnAxiom
% 0.53/0.60 [1]E(x11,x11)
% 0.53/0.60 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.60 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.53/0.60 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53))
% 0.53/0.60 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62))
% 0.53/0.60 [7]~E(x71,x72)+E(f3(x71,x73),f3(x72,x73))
% 0.53/0.60 [8]~E(x81,x82)+E(f3(x83,x81),f3(x83,x82))
% 0.53/0.60 [9]P1(x92,x93)+~E(x91,x92)+~P1(x91,x93)
% 0.53/0.60 [10]P1(x103,x102)+~E(x101,x102)+~P1(x103,x101)
% 0.53/0.60
% 0.53/0.60 %-------------------------------------------
% 0.53/0.60 cnf(30,plain,
% 0.53/0.60 ($false),
% 0.53/0.60 inference(scs_inference,[],[27,17]),
% 0.53/0.60 ['proof']).
% 0.53/0.60 % SZS output end Proof
% 0.53/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------