TSTP Solution File: FLD017-3 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : FLD017-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n027.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 : Wed Aug 30 22:26:32 EDT 2023

% Result   : Unsatisfiable 0.21s 0.63s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : FLD017-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 28 01:01:36 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.21/0.56  start to proof:theBenchmark
% 0.21/0.62  %-------------------------------------------
% 0.21/0.62  % File        :CSE---1.6
% 0.21/0.62  % Problem     :theBenchmark
% 0.21/0.62  % Transform   :cnf
% 0.21/0.62  % Format      :tptp:raw
% 0.21/0.62  % Command     :java -jar mcs_scs.jar %d %s
% 0.21/0.62  
% 0.21/0.62  % Result      :Theorem 0.010000s
% 0.21/0.62  % Output      :CNFRefutation 0.010000s
% 0.21/0.62  %-------------------------------------------
% 0.21/0.63  %--------------------------------------------------------------------------
% 0.21/0.63  % File     : FLD017-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.21/0.63  % Domain   : Field Theory (Ordered fields)
% 0.21/0.63  % Problem  : Substitution of an element in additive equations
% 0.21/0.63  % Version  : [Dra93] axioms : Especial.
% 0.21/0.63  %            Theorem formulation : Functional with re axiom set.
% 0.21/0.63  % English  :
% 0.21/0.63  
% 0.21/0.63  % Refs     : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.21/0.63  % Source   : [Dra93]
% 0.21/0.63  % Names    :
% 0.21/0.63  
% 0.21/0.63  % Status   : Unsatisfiable
% 0.21/0.63  % Rating   : 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 0.21/0.63  % Syntax   : Number of clauses     :   33 (  10 unt;   3 nHn;  33 RR)
% 0.21/0.63  %            Number of literals    :   84 (   0 equ;  50 neg)
% 0.21/0.63  %            Maximal clause size   :    5 (   2 avg)
% 0.21/0.63  %            Maximal term depth    :    2 (   1 avg)
% 0.21/0.63  %            Number of predicates  :    4 (   4 usr;   0 prp; 1-3 aty)
% 0.21/0.63  %            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
% 0.21/0.63  %            Number of variables   :   73 (   0 sgn)
% 0.21/0.63  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.21/0.63  
% 0.21/0.63  % Comments :
% 0.21/0.63  % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.21/0.63  %--------------------------------------------------------------------------
% 0.21/0.63  include('Axioms/FLD002-0.ax').
% 0.21/0.63  %--------------------------------------------------------------------------
% 0.21/0.63  cnf(a_is_defined,hypothesis,
% 0.21/0.63      defined(a) ).
% 0.21/0.63  
% 0.21/0.63  cnf(b_is_defined,hypothesis,
% 0.21/0.63      defined(b) ).
% 0.21/0.63  
% 0.21/0.63  cnf(c_is_defined,hypothesis,
% 0.21/0.63      defined(c) ).
% 0.21/0.63  
% 0.21/0.63  cnf(x_is_defined,hypothesis,
% 0.21/0.63      defined(x) ).
% 0.21/0.63  
% 0.21/0.63  cnf(sum_5,negated_conjecture,
% 0.21/0.63      sum(additive_identity,a,x) ).
% 0.21/0.63  
% 0.21/0.63  cnf(sum_6,negated_conjecture,
% 0.21/0.63      sum(a,b,c) ).
% 0.21/0.63  
% 0.21/0.63  cnf(not_sum_7,negated_conjecture,
% 0.21/0.63      ~ sum(x,b,c) ).
% 0.21/0.63  
% 0.21/0.63  %--------------------------------------------------------------------------
% 0.21/0.63  %-------------------------------------------
% 0.21/0.63  % Proof found
% 0.21/0.63  % SZS status Theorem for theBenchmark
% 0.21/0.63  % SZS output start Proof
% 0.21/0.63  %ClaNum:33(EqnAxiom:0)
% 0.21/0.63  %VarNum:162(SingletonVarNum:73)
% 0.21/0.63  %MaxLitNum:5
% 0.21/0.63  %MaxfuncDepth:1
% 0.21/0.63  %SharedTerms:16
% 0.21/0.63  %goalClause: 7 8 10
% 0.21/0.63  %singleGoalClaCount:3
% 0.21/0.63  [1]P1(a1)
% 0.21/0.63  [2]P1(a4)
% 0.21/0.63  [3]P1(a2)
% 0.21/0.63  [4]P1(a5)
% 0.21/0.63  [5]P1(a7)
% 0.21/0.63  [6]P1(a8)
% 0.21/0.63  [7]P2(a1,a2,a8)
% 0.21/0.63  [8]P2(a2,a5,a7)
% 0.21/0.63  [9]~P2(a1,a1,a4)
% 0.21/0.63  [10]~P2(a8,a5,a7)
% 0.21/0.63  [16]~P1(x161)+P2(a1,x161,x161)
% 0.21/0.63  [17]~P1(x171)+P4(a4,x171,x171)
% 0.21/0.63  [11]~P1(x111)+P1(f6(x111))
% 0.21/0.63  [18]~P1(x181)+P2(f6(x181),x181,a1)
% 0.21/0.63  [25]~P2(x252,x251,x253)+P2(x251,x252,x253)
% 0.21/0.63  [26]~P4(x262,x261,x263)+P4(x261,x262,x263)
% 0.21/0.63  [19]~P1(x191)+P2(a1,x191,a1)+P1(f10(x191))
% 0.21/0.63  [23]~P1(x231)+P4(f10(x231),x231,a4)+P2(a1,x231,a1)
% 0.21/0.63  [22]~P3(x222,x221)+~P3(x221,x222)+P2(a1,x221,x222)
% 0.21/0.63  [13]~P1(x132)+~P1(x131)+P1(f3(x131,x132))
% 0.21/0.63  [14]~P1(x142)+~P1(x141)+P1(f9(x141,x142))
% 0.21/0.63  [20]~P1(x202)+~P1(x201)+P2(x201,x202,f3(x201,x202))
% 0.21/0.63  [21]~P1(x212)+~P1(x211)+P4(x211,x212,f9(x211,x212))
% 0.21/0.63  [15]~P3(x151,x153)+P3(x151,x152)+~P3(x153,x152)
% 0.21/0.63  [12]P3(x122,x121)+~P1(x121)+~P1(x122)+P3(x121,x122)
% 0.21/0.63  [24]~P4(x243,x242,x241)+P3(a1,x241)+~P3(a1,x242)+~P3(a1,x243)
% 0.21/0.63  [27]~P2(x273,x275,x271)+P3(x271,x272)+~P2(x274,x275,x272)+~P3(x273,x274)
% 0.21/0.63  [28]~P2(x281,x286,x284)+P2(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x285,x282)
% 0.21/0.63  [29]~P2(x296,x294,x291)+P2(x291,x292,x293)+~P2(x294,x292,x295)+~P2(x296,x295,x293)
% 0.21/0.63  [30]~P4(x301,x306,x304)+P4(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x305,x302)
% 0.21/0.63  [31]~P4(x316,x314,x311)+P4(x311,x312,x313)+~P4(x314,x312,x315)+~P4(x316,x315,x313)
% 0.21/0.63  [32]~P4(x325,x327,x322)+~P4(x324,x327,x321)+P2(x321,x322,x323)+~P2(x324,x325,x326)+~P4(x326,x327,x323)
% 0.21/0.63  [33]~P4(x337,x332,x335)+~P4(x336,x332,x334)+P4(x331,x332,x333)+~P2(x334,x335,x333)+~P2(x336,x337,x331)
% 0.21/0.63  %EqnAxiom
% 0.21/0.63  
% 0.21/0.63  %-------------------------------------------
% 0.21/0.63  cnf(35,plain,
% 0.21/0.63     (P3(a1,a1)),
% 0.21/0.63     inference(scs_inference,[],[10,1,25,12])).
% 0.21/0.63  cnf(38,plain,
% 0.21/0.63     (P2(a1,a1,a1)),
% 0.21/0.63     inference(scs_inference,[],[10,1,25,12,17,16])).
% 0.21/0.63  cnf(46,plain,
% 0.21/0.63     (P2(a1,a1,f3(a1,a1))),
% 0.21/0.63     inference(scs_inference,[],[10,1,25,12,17,16,18,11,21,20])).
% 0.21/0.63  cnf(54,plain,
% 0.21/0.63     (P4(a4,f9(a1,a1),f9(a1,a1))),
% 0.21/0.63     inference(scs_inference,[],[10,1,25,12,17,16,18,11,21,20,14,13,31,30])).
% 0.21/0.63  cnf(56,plain,
% 0.21/0.63     (~P2(a1,a7,a7)),
% 0.21/0.63     inference(scs_inference,[],[7,8,10,1,25,12,17,16,18,11,21,20,14,13,31,30,29])).
% 0.21/0.63  cnf(92,plain,
% 0.21/0.63     ($false),
% 0.21/0.63     inference(scs_inference,[],[7,3,5,8,38,54,35,46,56,26,25,20,14,13,28,27,21,29,16]),
% 0.21/0.63     ['proof']).
% 0.21/0.63  % SZS output end Proof
% 0.21/0.63  % Total time :0.010000s
%------------------------------------------------------------------------------