TSTP Solution File: KLE057+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KLE057+1 : 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 : n021.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 05:25:08 EDT 2023
% Result : Theorem 0.22s 0.64s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : KLE057+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 11:28:14 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.58 start to proof:theBenchmark
% 0.22/0.63 %-------------------------------------------
% 0.22/0.63 % File :CSE---1.6
% 0.22/0.64 % Problem :theBenchmark
% 0.22/0.64 % Transform :cnf
% 0.22/0.64 % Format :tptp:raw
% 0.22/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.22/0.64
% 0.22/0.64 % Result :Theorem 0.000000s
% 0.22/0.64 % Output :CNFRefutation 0.000000s
% 0.22/0.64 %-------------------------------------------
% 0.22/0.64 %------------------------------------------------------------------------------
% 0.22/0.64 % File : KLE057+1 : TPTP v8.1.2. Released v4.0.0.
% 0.22/0.64 % Domain : Kleene Algebra (Domain Semirings)
% 0.22/0.64 % Problem : Domain is very strict
% 0.22/0.64 % Version : [Hoe08] axioms.
% 0.22/0.64 % English :
% 0.22/0.64
% 0.22/0.64 % Refs : [DS08] Desharnais & Struth (2008), Modal Semirings Revisited
% 0.22/0.64 % : [Hoe08] Hoefner (2008), Email to G. Sutcliffe
% 0.22/0.64 % Source : [Hoe08]
% 0.22/0.64 % Names :
% 0.22/0.64
% 0.22/0.64 % Status : Theorem
% 0.22/0.64 % Rating : 0.06 v8.1.0, 0.03 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, 0.10 v6.0.0, 0.09 v5.5.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.05 v5.1.0, 0.10 v5.0.0, 0.08 v4.1.0, 0.04 v4.0.1, 0.09 v4.0.0
% 0.22/0.64 % Syntax : Number of formulae : 18 ( 16 unt; 0 def)
% 0.22/0.64 % Number of atoms : 20 ( 19 equ)
% 0.22/0.64 % Maximal formula atoms : 2 ( 1 avg)
% 0.22/0.64 % Number of connectives : 2 ( 0 ~; 0 |; 0 &)
% 0.22/0.64 % ( 1 <=>; 0 =>; 1 <=; 0 <~>)
% 0.22/0.64 % Maximal formula depth : 4 ( 3 avg)
% 0.22/0.64 % Maximal term depth : 4 ( 2 avg)
% 0.22/0.64 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.22/0.64 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.22/0.64 % Number of variables : 29 ( 29 !; 0 ?)
% 0.22/0.64 % SPC : FOF_THM_RFO_SEQ
% 0.22/0.64
% 0.22/0.64 % Comments : % encoding
% 0.22/0.64 %------------------------------------------------------------------------------
% 0.22/0.64 %---Include axioms for domain semiring
% 0.22/0.64 include('Axioms/KLE001+0.ax').
% 0.22/0.64 %---Include axioms for domain
% 0.22/0.64 include('Axioms/KLE001+5.ax').
% 0.22/0.64 %------------------------------------------------------------------------------
% 0.22/0.64 fof(goals,conjecture,
% 0.22/0.64 ! [X0] :
% 0.22/0.64 ( domain(X0) = zero
% 0.22/0.64 <= X0 = zero ) ).
% 0.22/0.64
% 0.22/0.64 %------------------------------------------------------------------------------
% 0.22/0.64 %-------------------------------------------
% 0.22/0.64 % Proof found
% 0.22/0.64 % SZS status Theorem for theBenchmark
% 0.22/0.64 % SZS output start Proof
% 0.22/0.64 %ClaNum:30(EqnAxiom:10)
% 0.22/0.64 %VarNum:65(SingletonVarNum:30)
% 0.22/0.64 %MaxLitNum:2
% 0.22/0.64 %MaxfuncDepth:3
% 0.22/0.64 %SharedTerms:8
% 0.22/0.64 %goalClause: 11 28
% 0.22/0.64 %singleGoalClaCount:2
% 0.22/0.64 [11]E(a1,a4)
% 0.22/0.64 [12]E(f2(a4),a4)
% 0.22/0.64 [28]~E(f2(a1),a4)
% 0.22/0.65 [13]E(f5(x131,a4),a4)
% 0.22/0.65 [14]E(f5(a4,x141),a4)
% 0.22/0.65 [15]E(f3(x151,a4),x151)
% 0.22/0.65 [16]E(f5(x161,a6),x161)
% 0.22/0.65 [17]E(f5(a6,x171),x171)
% 0.22/0.65 [18]E(f3(x181,x181),x181)
% 0.22/0.65 [19]E(f3(f2(x191),a6),a6)
% 0.22/0.65 [23]E(f3(x231,f5(f2(x231),x231)),f5(f2(x231),x231))
% 0.22/0.65 [20]E(f3(x201,x202),f3(x202,x201))
% 0.22/0.65 [21]E(f2(f3(x211,x212)),f3(f2(x211),f2(x212)))
% 0.22/0.65 [22]E(f2(f5(x221,f2(x222))),f2(f5(x221,x222)))
% 0.22/0.65 [24]E(f3(f3(x241,x242),x243),f3(x241,f3(x242,x243)))
% 0.22/0.65 [25]E(f5(f5(x251,x252),x253),f5(x251,f5(x252,x253)))
% 0.22/0.65 [26]E(f3(f5(x261,x262),f5(x261,x263)),f5(x261,f3(x262,x263)))
% 0.22/0.65 [27]E(f3(f5(x271,x272),f5(x273,x272)),f5(f3(x271,x273),x272))
% 0.22/0.65 [29]~P1(x291,x292)+E(f3(x291,x292),x292)
% 0.22/0.65 [30]P1(x301,x302)+~E(f3(x301,x302),x302)
% 0.22/0.65 %EqnAxiom
% 0.22/0.65 [1]E(x11,x11)
% 0.22/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.22/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.22/0.65 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.22/0.65 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53))
% 0.22/0.65 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62))
% 0.22/0.65 [7]~E(x71,x72)+E(f3(x71,x73),f3(x72,x73))
% 0.22/0.65 [8]~E(x81,x82)+E(f3(x83,x81),f3(x83,x82))
% 0.22/0.65 [9]P1(x92,x93)+~E(x91,x92)+~P1(x91,x93)
% 0.22/0.65 [10]P1(x103,x102)+~E(x101,x102)+~P1(x103,x101)
% 0.22/0.65
% 0.22/0.65 %-------------------------------------------
% 0.22/0.65 cnf(41,plain,
% 0.22/0.65 (E(f2(a1),f2(a4))),
% 0.22/0.65 inference(scs_inference,[],[11,28,18,2,30,10,9,3,8,7,6,5,4])).
% 0.22/0.65 cnf(45,plain,
% 0.22/0.65 ($false),
% 0.22/0.65 inference(scs_inference,[],[12,28,41,2,3]),
% 0.22/0.65 ['proof']).
% 0.22/0.65 % SZS output end Proof
% 0.22/0.65 % Total time :0.000000s
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