%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SYN000+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 19:04:10 EDT 2024
% Result : Theorem 0.50s 0.59s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN000+1 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.31 % Computer : n018.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Sun Jun 23 23:08:54 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.55 start to proof:theBenchmark
% 0.50/0.58 %-------------------------------------------
% 0.50/0.58 % File :CSE---1.7
% 0.50/0.58 % Problem :theBenchmark
% 0.50/0.58 % Transform :cnf
% 0.50/0.58 % Format :tptp:raw
% 0.50/0.58 % Command :java -jar mcs_scs.jar %d %s
% 0.50/0.58
% 0.50/0.58 % Result :Theorem 0.000000s
% 0.50/0.58 % Output :CNFRefutation 0.000000s
% 0.50/0.58 %-------------------------------------------
% 0.50/0.59 %------------------------------------------------------------------------------
% 0.50/0.59 % File : SYN000+1 : TPTP v8.2.0. Released v4.0.0.
% 0.50/0.59 % Domain : Syntactic
% 0.50/0.59 % Problem : Basic TPTP FOF syntax
% 0.50/0.59 % Version : Biased.
% 0.50/0.59 % English : Basic TPTP FOF syntax that you can't survive without parsing.
% 0.50/0.59
% 0.50/0.59 % Refs :
% 0.50/0.59 % Source : [TPTP]
% 0.50/0.59 % Names :
% 0.50/0.59
% 0.50/0.59 % Status : Theorem
% 0.50/0.59 % Rating : 0.19 v8.2.0, 0.17 v8.1.0, 0.19 v7.4.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.19 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.33 v6.0.0, 0.43 v5.5.0, 0.48 v5.4.0, 0.46 v5.3.0, 0.52 v5.2.0, 0.40 v5.1.0, 0.43 v5.0.0, 0.54 v4.1.0, 0.57 v4.0.1, 0.78 v4.0.0
% 0.50/0.59 % Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% 0.50/0.59 % Number of atoms : 31 ( 3 equ)
% 0.50/0.59 % Maximal formula atoms : 5 ( 2 avg)
% 0.50/0.59 % Number of connectives : 28 ( 9 ~; 10 |; 3 &)
% 0.50/0.59 % ( 1 <=>; 3 =>; 1 <=; 1 <~>)
% 0.50/0.59 % Maximal formula depth : 7 ( 4 avg)
% 0.50/0.59 % Maximal term depth : 4 ( 2 avg)
% 0.50/0.59 % Number of predicates : 16 ( 13 usr; 10 prp; 0-3 aty)
% 0.50/0.59 % Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% 0.50/0.59 % Number of variables : 13 ( 5 !; 8 ?)
% 0.50/0.59 % SPC : FOF_THM_RFO_SEQ
% 0.50/0.59
% 0.50/0.59 % Comments :
% 0.50/0.59 %------------------------------------------------------------------------------
% 0.50/0.59 %----Propositional
% 0.50/0.59 fof(propositional,axiom,
% 0.50/0.59 ( ( p0
% 0.50/0.59 & ~ q0 )
% 0.50/0.59 => ( r0
% 0.50/0.59 | ~ s0 ) ) ).
% 0.50/0.59
% 0.50/0.59 %----First-order
% 0.50/0.59 fof(first_order,axiom,
% 0.50/0.59 ! [X] :
% 0.50/0.59 ( ( p(X)
% 0.50/0.59 | ~ q(X,a) )
% 0.50/0.59 => ? [Y,Z] :
% 0.50/0.59 ( r(X,f(Y),g(X,f(Y),Z))
% 0.50/0.59 & ~ s(f(f(f(b)))) ) ) ).
% 0.50/0.59
% 0.50/0.59 %----Equality
% 0.50/0.59 fof(equality,axiom,
% 0.50/0.59 ? [Y] :
% 0.50/0.59 ! [X,Z] :
% 0.50/0.59 ( f(Y) = g(X,f(Y),Z)
% 0.50/0.59 | f(f(f(b))) != a
% 0.50/0.59 | X = f(Y) ) ).
% 0.50/0.59
% 0.50/0.59 %----True and false
% 0.50/0.59 fof(true_false,axiom,
% 0.50/0.59 ( $true
% 0.50/0.59 | $false ) ).
% 0.50/0.59
% 0.50/0.59 %----Quoted symbols
% 0.50/0.59 fof(single_quoted,axiom,
% 0.50/0.59 ( 'A proposition'
% 0.50/0.59 | 'A predicate'(a)
% 0.50/0.59 | p('A constant')
% 0.50/0.59 | p('A function'(a))
% 0.50/0.59 | p('A \'quoted \\ escape\'') ) ).
% 0.50/0.59
% 0.50/0.59 %----Connectives - seen |, &, =>, ~ already
% 0.50/0.59 fof(useful_connectives,axiom,
% 0.50/0.59 ! [X] :
% 0.50/0.59 ( ( p(X)
% 0.50/0.59 <= ~ q(X,a) )
% 0.50/0.59 <=> ? [Y,Z] :
% 0.50/0.59 ( r(X,f(Y),g(X,f(Y),Z))
% 0.50/0.59 <~> ~ s(f(f(f(b)))) ) ) ).
% 0.50/0.59
% 0.50/0.59 %----Annotated formula names
% 0.50/0.59 fof(123,axiom,
% 0.50/0.59 ! [X] :
% 0.50/0.59 ( ( p(X)
% 0.50/0.59 | ~ q(X,a) )
% 0.50/0.59 => ? [Y,Z] :
% 0.50/0.59 ( r(X,f(Y),g(X,f(Y),Z))
% 0.50/0.59 & ~ s(f(f(f(b)))) ) ) ).
% 0.50/0.59
% 0.50/0.59 %----Roles
% 0.50/0.59 fof(role_hypothesis,hypothesis,
% 0.50/0.59 p(h) ).
% 0.50/0.59
% 0.50/0.59 fof(role_conjecture,conjecture,
% 0.50/0.59 ? [X] : p(X) ).
% 0.50/0.59
% 0.50/0.59 %----Include directive
% 0.50/0.59 include('Axioms/SYN000+0.ax').
% 0.50/0.59
% 0.50/0.59 %----Comments
% 0.50/0.59 /* This
% 0.50/0.59 is a block
% 0.50/0.59 comment.
% 0.50/0.59 */
% 0.50/0.59
% 0.50/0.59 %------------------------------------------------------------------------------
% 0.50/0.59 %-------------------------------------------
% 0.50/0.59 % Proof found
% 0.50/0.59 % SZS status Theorem for theBenchmark
% 0.50/0.59 % SZS output start Proof
% 0.50/0.59 %ClaNum:52(EqnAxiom:30)
% 0.50/0.59 %VarNum:36(SingletonVarNum:11)
% 0.50/0.59 %MaxLitNum:5
% 0.50/0.59 %MaxfuncDepth:3
% 0.50/0.59 %SharedTerms:28
% 0.50/0.59 %goalClause: 35
% 0.50/0.59 %singleGoalClaCount:1
% 0.50/0.59 [31]P1(a5000)
% 0.50/0.59 [32]P4(a5000)
% 0.50/0.59 [33]P5(a5000)
% 0.50/0.59 [34]P6(a1)
% 0.50/0.59 [35]~P6(x351)
% 0.50/0.59 [46]P9(x461,a4)+P11(x461,f7(f9(x461)),f15(x461,f7(f9(x461)),f10(x461)))
% 0.50/0.59 [47]P9(x471,a4)+P11(x471,f7(f11(x471)),f15(x471,f7(f11(x471)),f14(x471)))
% 0.50/0.59 [41]P9(x411,a4)+~P13(f7(f7(f7(a6))))
% 0.50/0.59 [49]~P9(x491,a4)+P11(x491,f7(f12(x491)),f15(x491,f7(f12(x491)),f13(x491)))+~P13(f7(f7(f7(a6))))
% 0.50/0.59 [52]~P9(x521,a4)+~P11(x521,f7(f12(x521)),f15(x521,f7(f12(x521)),f13(x521)))+P13(f7(f7(f7(a6))))
% 0.50/0.59 [42]E(x421,f7(a8))+E(f15(x421,f7(a8),x422),f7(a8))+~E(f7(f7(f7(a6))),a4)
% 0.50/0.59 [36]P7(a5000)+P10(a5000)+~P8(a5000)+~P12(a5000)
% 0.50/0.59 [43]P6(x431)+P9(x431,a4)+P11(x431,f7(x432),f15(x431,f7(x432),x433))+P13(f7(f7(f7(a6))))
% 0.50/0.59 [37]P2(a5000)+P6(a2)+P6(a3)+P3(a4)+P6(f5(a4))
% 0.50/0.60 %EqnAxiom
% 0.50/0.60 [1]E(x11,x11)
% 0.50/0.60 [2]E(x22,x21)+~E(x21,x22)
% 0.50/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.50/0.60 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.50/0.60 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 0.50/0.60 [6]~E(x61,x62)+E(f15(x61,x63,x64),f15(x62,x63,x64))
% 0.50/0.60 [7]~E(x71,x72)+E(f15(x73,x71,x74),f15(x73,x72,x74))
% 0.50/0.60 [8]~E(x81,x82)+E(f15(x83,x84,x81),f15(x83,x84,x82))
% 0.50/0.60 [9]~E(x91,x92)+E(f13(x91),f13(x92))
% 0.50/0.60 [10]~E(x101,x102)+E(f12(x101),f12(x102))
% 0.50/0.60 [11]~E(x111,x112)+E(f11(x111),f11(x112))
% 0.50/0.60 [12]~E(x121,x122)+E(f14(x121),f14(x122))
% 0.50/0.60 [13]~E(x131,x132)+E(f9(x131),f9(x132))
% 0.50/0.60 [14]~E(x141,x142)+E(f10(x141),f10(x142))
% 0.50/0.60 [15]~P1(x151)+P1(x152)+~E(x151,x152)
% 0.50/0.60 [16]~P4(x161)+P4(x162)+~E(x161,x162)
% 0.50/0.60 [17]~P5(x171)+P5(x172)+~E(x171,x172)
% 0.50/0.60 [18]~P6(x181)+P6(x182)+~E(x181,x182)
% 0.50/0.60 [19]P11(x192,x193,x194)+~E(x191,x192)+~P11(x191,x193,x194)
% 0.50/0.60 [20]P11(x203,x202,x204)+~E(x201,x202)+~P11(x203,x201,x204)
% 0.50/0.60 [21]P11(x213,x214,x212)+~E(x211,x212)+~P11(x213,x214,x211)
% 0.50/0.60 [22]~P7(x221)+P7(x222)+~E(x221,x222)
% 0.50/0.60 [23]~P10(x231)+P10(x232)+~E(x231,x232)
% 0.50/0.60 [24]~P8(x241)+P8(x242)+~E(x241,x242)
% 0.50/0.60 [25]~P12(x251)+P12(x252)+~E(x251,x252)
% 0.50/0.60 [26]~P2(x261)+P2(x262)+~E(x261,x262)
% 0.50/0.60 [27]P9(x272,x273)+~E(x271,x272)+~P9(x271,x273)
% 0.50/0.60 [28]P9(x283,x282)+~E(x281,x282)+~P9(x283,x281)
% 0.50/0.60 [29]~P13(x291)+P13(x292)+~E(x291,x292)
% 0.50/0.60 [30]~P3(x301)+P3(x302)+~E(x301,x302)
% 0.50/0.60
% 0.50/0.60 %-------------------------------------------
% 0.50/0.60 cnf(53,plain,
% 0.50/0.60 ($false),
% 0.50/0.60 inference(scs_inference,[],[35,34]),
% 0.50/0.60 ['proof']).
% 0.50/0.60 % SZS output end Proof
% 0.50/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------