TSTP Solution File: FLD020-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD020-3 : 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 : 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 22:26:33 EDT 2023
% Result : Unsatisfiable 0.21s 0.64s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD020-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 01:15:06 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 % File :CSE---1.6
% 0.21/0.64 % Problem :theBenchmark
% 0.21/0.64 % Transform :cnf
% 0.21/0.64 % Format :tptp:raw
% 0.21/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.64
% 0.21/0.64 % Result :Theorem 0.010000s
% 0.21/0.64 % Output :CNFRefutation 0.010000s
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 % File : FLD020-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.21/0.64 % Domain : Field Theory (Ordered fields)
% 0.21/0.64 % Problem : The additive identity is unique
% 0.21/0.64 % Version : [Dra93] axioms : Especial.
% 0.21/0.64 % Theorem formulation : Functional with re axiom set.
% 0.21/0.64 % English :
% 0.21/0.64
% 0.21/0.64 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.21/0.64 % Source : [Dra93]
% 0.21/0.64 % Names :
% 0.21/0.64
% 0.21/0.64 % Status : Unsatisfiable
% 0.21/0.64 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v2.2.1, 0.33 v2.1.0
% 0.21/0.64 % Syntax : Number of clauses : 30 ( 7 unt; 3 nHn; 30 RR)
% 0.21/0.64 % Number of literals : 81 ( 0 equ; 50 neg)
% 0.21/0.64 % Maximal clause size : 5 ( 2 avg)
% 0.21/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.64 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.21/0.64 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.21/0.64 % Number of variables : 73 ( 0 sgn)
% 0.21/0.64 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.21/0.64
% 0.21/0.64 % Comments :
% 0.21/0.64 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 include('Axioms/FLD002-0.ax').
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 cnf(a_is_defined,hypothesis,
% 0.21/0.64 defined(a) ).
% 0.21/0.64
% 0.21/0.64 cnf(m_is_defined,hypothesis,
% 0.21/0.64 defined(m) ).
% 0.21/0.64
% 0.21/0.64 cnf(sum_3,negated_conjecture,
% 0.21/0.64 sum(m,a,a) ).
% 0.21/0.64
% 0.21/0.64 cnf(not_sum_4,negated_conjecture,
% 0.21/0.64 ~ sum(additive_identity,m,additive_identity) ).
% 0.21/0.64
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 % Proof found
% 0.21/0.64 % SZS status Theorem for theBenchmark
% 0.21/0.64 % SZS output start Proof
% 0.21/0.65 %ClaNum:30(EqnAxiom:0)
% 0.21/0.65 %VarNum:162(SingletonVarNum:73)
% 0.21/0.65 %MaxLitNum:5
% 0.21/0.65 %MaxfuncDepth:1
% 0.21/0.65 %SharedTerms:11
% 0.21/0.65 %goalClause: 5 7
% 0.21/0.65 %singleGoalClaCount:2
% 0.21/0.65 [1]P1(a1)
% 0.21/0.65 [2]P1(a4)
% 0.21/0.65 [3]P1(a2)
% 0.21/0.65 [4]P1(a5)
% 0.21/0.65 [5]P2(a5,a2,a2)
% 0.21/0.65 [6]~P2(a1,a1,a4)
% 0.21/0.65 [7]~P2(a1,a5,a1)
% 0.21/0.65 [13]~P1(x131)+P2(a1,x131,x131)
% 0.21/0.65 [14]~P1(x141)+P4(a4,x141,x141)
% 0.21/0.65 [8]~P1(x81)+P1(f6(x81))
% 0.21/0.65 [15]~P1(x151)+P2(f6(x151),x151,a1)
% 0.21/0.65 [22]~P2(x222,x221,x223)+P2(x221,x222,x223)
% 0.21/0.65 [23]~P4(x232,x231,x233)+P4(x231,x232,x233)
% 0.21/0.65 [16]~P1(x161)+P2(a1,x161,a1)+P1(f8(x161))
% 0.21/0.65 [20]~P1(x201)+P4(f8(x201),x201,a4)+P2(a1,x201,a1)
% 0.21/0.65 [19]~P3(x192,x191)+~P3(x191,x192)+P2(a1,x191,x192)
% 0.21/0.65 [10]~P1(x102)+~P1(x101)+P1(f3(x101,x102))
% 0.21/0.65 [11]~P1(x112)+~P1(x111)+P1(f7(x111,x112))
% 0.21/0.65 [17]~P1(x172)+~P1(x171)+P2(x171,x172,f3(x171,x172))
% 0.21/0.65 [18]~P1(x182)+~P1(x181)+P4(x181,x182,f7(x181,x182))
% 0.21/0.65 [12]~P3(x121,x123)+P3(x121,x122)+~P3(x123,x122)
% 0.21/0.65 [9]P3(x92,x91)+~P1(x91)+~P1(x92)+P3(x91,x92)
% 0.21/0.65 [21]~P4(x213,x212,x211)+P3(a1,x211)+~P3(a1,x212)+~P3(a1,x213)
% 0.21/0.65 [24]~P2(x243,x245,x241)+P3(x241,x242)+~P2(x244,x245,x242)+~P3(x243,x244)
% 0.21/0.65 [25]~P2(x251,x256,x254)+P2(x251,x252,x253)+~P2(x254,x255,x253)+~P2(x256,x255,x252)
% 0.21/0.65 [26]~P2(x266,x264,x261)+P2(x261,x262,x263)+~P2(x264,x262,x265)+~P2(x266,x265,x263)
% 0.21/0.65 [27]~P4(x271,x276,x274)+P4(x271,x272,x273)+~P4(x274,x275,x273)+~P4(x276,x275,x272)
% 0.21/0.65 [28]~P4(x286,x284,x281)+P4(x281,x282,x283)+~P4(x284,x282,x285)+~P4(x286,x285,x283)
% 0.21/0.65 [29]~P4(x295,x297,x292)+~P4(x294,x297,x291)+P2(x291,x292,x293)+~P2(x294,x295,x296)+~P4(x296,x297,x293)
% 0.21/0.65 [30]~P4(x307,x302,x305)+~P4(x306,x302,x304)+P4(x301,x302,x303)+~P2(x304,x305,x303)+~P2(x306,x307,x301)
% 0.21/0.65 %EqnAxiom
% 0.21/0.65
% 0.21/0.65 %-------------------------------------------
% 0.21/0.65 cnf(35,plain,
% 0.21/0.65 (P2(a1,a1,a1)),
% 0.21/0.65 inference(scs_inference,[],[7,1,22,9,14,13])).
% 0.21/0.65 cnf(37,plain,
% 0.21/0.65 (P2(f6(a1),a1,a1)),
% 0.21/0.65 inference(scs_inference,[],[7,1,22,9,14,13,15])).
% 0.21/0.65 cnf(43,plain,
% 0.21/0.65 (P4(a1,a1,f7(a1,a1))),
% 0.21/0.65 inference(scs_inference,[],[7,1,4,22,9,14,13,15,8,20,18])).
% 0.21/0.65 cnf(55,plain,
% 0.21/0.65 (P4(a4,f7(a1,a1),f7(a1,a1))),
% 0.21/0.65 inference(scs_inference,[],[7,1,4,22,9,14,13,15,8,20,18,17,16,11,10,28,27])).
% 0.21/0.65 cnf(57,plain,
% 0.21/0.65 (~P2(a2,x571,a1)),
% 0.21/0.65 inference(scs_inference,[],[5,7,1,4,22,9,14,13,15,8,20,18,17,16,11,10,28,27,25])).
% 0.21/0.65 cnf(59,plain,
% 0.21/0.65 (P3(f3(a1,a1),f3(a1,a1))),
% 0.21/0.65 inference(scs_inference,[],[5,7,1,4,22,9,14,13,15,8,20,18,17,16,11,10,28,27,25,24])).
% 0.21/0.65 cnf(69,plain,
% 0.21/0.65 (~P4(a4,f7(a1,a1),a4)+~P2(a4,a4,x691)+P4(x691,a1,a1)),
% 0.21/0.65 inference(scs_inference,[],[5,7,1,4,6,22,9,14,13,15,8,20,18,17,16,11,10,28,27,25,24,21,29,19,26,30])).
% 0.21/0.65 cnf(96,plain,
% 0.21/0.65 (P2(a1,f3(a1,a1),f3(a1,a1))),
% 0.21/0.65 inference(scs_inference,[],[5,2,7,59,35,55,57,37,43,23,22,18,10,25,29,17,11,26,30,69,28,19])).
% 0.21/0.65 cnf(108,plain,
% 0.21/0.65 (~P2(x1081,a2,a1)),
% 0.21/0.65 inference(scs_inference,[],[96,57,37,25,22])).
% 0.21/0.65 cnf(128,plain,
% 0.21/0.65 ($false),
% 0.21/0.65 inference(scs_inference,[],[3,108,15]),
% 0.21/0.65 ['proof']).
% 0.21/0.65 % SZS output end Proof
% 0.21/0.65 % Total time :0.010000s
%------------------------------------------------------------------------------