TSTP Solution File: FLD039-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : FLD039-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n003.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 22:26:42 EDT 2023

% Result   : Unsatisfiable 0.20s 0.63s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : FLD039-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 23:29:10 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.58  start to proof:theBenchmark
% 0.20/0.63  %-------------------------------------------
% 0.20/0.63  % File        :CSE---1.6
% 0.20/0.63  % Problem     :theBenchmark
% 0.20/0.63  % Transform   :cnf
% 0.20/0.63  % Format      :tptp:raw
% 0.20/0.63  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.63  
% 0.20/0.63  % Result      :Theorem 0.000000s
% 0.20/0.63  % Output      :CNFRefutation 0.000000s
% 0.20/0.63  %-------------------------------------------
% 0.20/0.63  %--------------------------------------------------------------------------
% 0.20/0.63  % File     : FLD039-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.20/0.63  % Domain   : Field Theory (Ordered fields)
% 0.20/0.63  % Problem  : In a field with two or more elements, 1 and 0 must be different
% 0.20/0.63  % Version  : [Dra93] axioms : Especial.
% 0.20/0.63  %            Theorem formulation : Functional with glxx axiom set.
% 0.20/0.63  % English  :
% 0.20/0.63  
% 0.20/0.63  % Refs     : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.20/0.63  % Source   : [Dra93]
% 0.20/0.63  % Names    :
% 0.20/0.63  
% 0.20/0.63  % Status   : Unsatisfiable
% 0.20/0.63  % Rating   : 0.00 v2.1.0
% 0.20/0.63  % Syntax   : Number of clauses     :   30 (   6 unt;   3 nHn;  30 RR)
% 0.20/0.63  %            Number of literals    :   76 (   0 equ;  45 neg)
% 0.20/0.63  %            Maximal clause size   :    4 (   2 avg)
% 0.20/0.63  %            Maximal term depth    :    3 (   1 avg)
% 0.20/0.63  %            Number of predicates  :    3 (   3 usr;   0 prp; 1-2 aty)
% 0.20/0.63  %            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
% 0.20/0.63  %            Number of variables   :   50 (   0 sgn)
% 0.20/0.63  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.63  
% 0.20/0.63  % Comments :
% 0.20/0.63  %          : Due to some changes in FLD001-0.ax a long time ago, this is
% 0.20/0.63  %            too easy - it appears as an axiom.
% 0.20/0.63  % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 0.20/0.63  %--------------------------------------------------------------------------
% 0.20/0.63  include('Axioms/FLD001-0.ax').
% 0.20/0.63  %--------------------------------------------------------------------------
% 0.20/0.63  cnf(a_is_defined,hypothesis,
% 0.20/0.63      defined(a) ).
% 0.20/0.63  
% 0.20/0.63  cnf(a_not_equal_to_additive_identity_1,negated_conjecture,
% 0.20/0.63      ~ equalish(a,additive_identity) ).
% 0.20/0.63  
% 0.20/0.63  cnf(multiplicative_identity_equals_additive_identity_3,negated_conjecture,
% 0.20/0.63      equalish(multiplicative_identity,additive_identity) ).
% 0.20/0.63  
% 0.20/0.63  %--------------------------------------------------------------------------
% 0.20/0.63  %-------------------------------------------
% 0.20/0.63  % Proof found
% 0.20/0.63  % SZS status Theorem for theBenchmark
% 0.20/0.63  % SZS output start Proof
% 0.20/0.64  %ClaNum:30(EqnAxiom:0)
% 0.20/0.64  %VarNum:128(SingletonVarNum:50)
% 0.20/0.64  %MaxLitNum:4
% 0.20/0.64  %MaxfuncDepth:2
% 0.20/0.64  %SharedTerms:9
% 0.20/0.64  %goalClause: 4 6
% 0.20/0.64  %singleGoalClaCount:2
% 0.20/0.64  [1]P1(a1)
% 0.20/0.64  [2]P1(a4)
% 0.20/0.64  [3]P1(a2)
% 0.20/0.64  [4]P2(a4,a1)
% 0.20/0.64  [5]~P2(a1,a4)
% 0.20/0.64  [6]~P2(a2,a1)
% 0.20/0.64  [8]~P1(x81)+P2(x81,x81)
% 0.20/0.64  [7]~P1(x71)+P1(f5(x71))
% 0.20/0.64  [12]~P1(x121)+P2(f3(a1,x121),x121)
% 0.20/0.64  [13]~P1(x131)+P2(f7(a4,x131),x131)
% 0.20/0.64  [16]~P1(x161)+P2(f3(x161,f5(x161)),a1)
% 0.20/0.64  [10]~P2(x102,x101)+P2(x101,x102)
% 0.20/0.64  [9]~P1(x91)+P2(x91,a1)+P1(f6(x91))
% 0.20/0.64  [21]~P1(x211)+P2(x211,a1)+P2(f7(x211,f6(x211)),a4)
% 0.20/0.64  [18]~P3(x182,x181)+~P3(x181,x182)+P2(x181,x182)
% 0.20/0.64  [14]~P1(x142)+~P1(x141)+P1(f3(x141,x142))
% 0.20/0.64  [15]~P1(x152)+~P1(x151)+P1(f7(x151,x152))
% 0.20/0.64  [22]~P3(a1,x222)+~P3(a1,x221)+P3(a1,f7(x221,x222))
% 0.20/0.64  [23]~P1(x232)+~P1(x231)+P2(f3(x231,x232),f3(x232,x231))
% 0.20/0.64  [24]~P1(x242)+~P1(x241)+P2(f7(x241,x242),f7(x242,x241))
% 0.20/0.64  [17]~P2(x171,x173)+P2(x171,x172)+~P2(x173,x172)
% 0.20/0.64  [19]~P3(x193,x192)+P3(x191,x192)+~P2(x193,x191)
% 0.20/0.64  [20]~P3(x201,x203)+P3(x201,x202)+~P3(x203,x202)
% 0.20/0.64  [25]~P1(x252)+~P2(x251,x253)+P2(f3(x251,x252),f3(x253,x252))
% 0.20/0.64  [26]~P1(x262)+~P2(x261,x263)+P2(f7(x261,x262),f7(x263,x262))
% 0.20/0.64  [27]~P1(x272)+~P3(x271,x273)+P3(f3(x271,x272),f3(x273,x272))
% 0.20/0.64  [11]P3(x112,x111)+~P1(x111)+~P1(x112)+P3(x111,x112)
% 0.20/0.64  [28]~P1(x283)+~P1(x282)+~P1(x281)+P2(f3(x281,f3(x282,x283)),f3(f3(x281,x282),x283))
% 0.20/0.64  [29]~P1(x293)+~P1(x292)+~P1(x291)+P2(f7(x291,f7(x292,x293)),f7(f7(x291,x292),x293))
% 0.20/0.64  [30]~P1(x303)+~P1(x302)+~P1(x301)+P2(f3(f7(x301,x302),f7(x303,x302)),f7(f3(x301,x303),x302))
% 0.20/0.64  %EqnAxiom
% 0.20/0.64  
% 0.20/0.64  %-------------------------------------------
% 0.20/0.64  cnf(31,plain,
% 0.20/0.64     ($false),
% 0.20/0.64     inference(scs_inference,[],[4,5,10]),
% 0.20/0.64     ['proof']).
% 0.20/0.64  % SZS output end Proof
% 0.20/0.64  % Total time :0.000000s
%------------------------------------------------------------------------------