TSTP Solution File: FLD034-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD034-3 : 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 : n028.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 22:26:40 EDT 2023
% Result : Unsatisfiable 0.20s 0.67s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD034-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.35 % Computer : n028.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon Aug 28 01:09:54 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.60 start to proof:theBenchmark
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % File :CSE---1.6
% 0.20/0.66 % Problem :theBenchmark
% 0.20/0.66 % Transform :cnf
% 0.20/0.66 % Format :tptp:raw
% 0.20/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.66
% 0.20/0.66 % Result :Theorem 0.020000s
% 0.20/0.66 % Output :CNFRefutation 0.020000s
% 0.20/0.66 %-------------------------------------------
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 % File : FLD034-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.20/0.67 % Domain : Field Theory (Ordered fields)
% 0.20/0.67 % Problem : Every element equal one is a multiplicative identity
% 0.20/0.67 % Version : [Dra93] axioms : Especial.
% 0.20/0.67 % Theorem formulation : Functional with re axiom set.
% 0.20/0.67 % English :
% 0.20/0.67
% 0.20/0.67 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.20/0.67 % Source : [Dra93]
% 0.20/0.67 % Names :
% 0.20/0.67
% 0.20/0.67 % Status : Unsatisfiable
% 0.20/0.67 % Rating : 0.00 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 0.20/0.67 % Syntax : Number of clauses : 30 ( 7 unt; 3 nHn; 30 RR)
% 0.20/0.67 % Number of literals : 81 ( 0 equ; 50 neg)
% 0.20/0.67 % Maximal clause size : 5 ( 2 avg)
% 0.20/0.67 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.67 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.20/0.67 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.20/0.67 % Number of variables : 73 ( 0 sgn)
% 0.20/0.67 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.67
% 0.20/0.67 % Comments :
% 0.20/0.67 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 include('Axioms/FLD002-0.ax').
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 cnf(a_is_defined,hypothesis,
% 0.20/0.67 defined(a) ).
% 0.20/0.67
% 0.20/0.67 cnf(m_is_defined,hypothesis,
% 0.20/0.67 defined(m) ).
% 0.20/0.67
% 0.20/0.67 cnf(product_3,negated_conjecture,
% 0.20/0.67 product(multiplicative_identity,m,multiplicative_identity) ).
% 0.20/0.67
% 0.20/0.67 cnf(not_product_4,negated_conjecture,
% 0.20/0.67 ~ product(m,a,a) ).
% 0.20/0.67
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % Proof found
% 0.20/0.67 % SZS status Theorem for theBenchmark
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 %ClaNum:30(EqnAxiom:0)
% 0.20/0.67 %VarNum:162(SingletonVarNum:73)
% 0.20/0.67 %MaxLitNum:5
% 0.20/0.67 %MaxfuncDepth:1
% 0.20/0.67 %SharedTerms:11
% 0.20/0.67 %goalClause: 5 7
% 0.20/0.67 %singleGoalClaCount:2
% 0.20/0.67 [1]P1(a1)
% 0.20/0.67 [2]P1(a4)
% 0.20/0.67 [3]P1(a2)
% 0.20/0.67 [4]P1(a5)
% 0.20/0.67 [5]P2(a4,a5,a4)
% 0.20/0.67 [6]~P4(a1,a1,a4)
% 0.20/0.67 [7]~P2(a5,a2,a2)
% 0.20/0.67 [13]~P1(x131)+P4(a1,x131,x131)
% 0.20/0.67 [14]~P1(x141)+P2(a4,x141,x141)
% 0.20/0.67 [8]~P1(x81)+P1(f6(x81))
% 0.20/0.67 [15]~P1(x151)+P4(f6(x151),x151,a1)
% 0.20/0.67 [22]~P4(x222,x221,x223)+P4(x221,x222,x223)
% 0.20/0.67 [23]~P2(x232,x231,x233)+P2(x231,x232,x233)
% 0.20/0.67 [16]~P1(x161)+P4(a1,x161,a1)+P1(f8(x161))
% 0.20/0.67 [20]~P1(x201)+P2(f8(x201),x201,a4)+P4(a1,x201,a1)
% 0.20/0.67 [19]~P3(x192,x191)+~P3(x191,x192)+P4(a1,x191,x192)
% 0.20/0.67 [10]~P1(x102)+~P1(x101)+P1(f3(x101,x102))
% 0.20/0.67 [11]~P1(x112)+~P1(x111)+P1(f7(x111,x112))
% 0.20/0.67 [17]~P1(x172)+~P1(x171)+P4(x171,x172,f3(x171,x172))
% 0.20/0.67 [18]~P1(x182)+~P1(x181)+P2(x181,x182,f7(x181,x182))
% 0.20/0.67 [12]~P3(x121,x123)+P3(x121,x122)+~P3(x123,x122)
% 0.20/0.67 [9]P3(x92,x91)+~P1(x91)+~P1(x92)+P3(x91,x92)
% 0.20/0.67 [21]~P2(x213,x212,x211)+P3(a1,x211)+~P3(a1,x212)+~P3(a1,x213)
% 0.20/0.67 [24]~P4(x243,x245,x241)+P3(x241,x242)+~P4(x244,x245,x242)+~P3(x243,x244)
% 0.20/0.67 [25]~P4(x251,x256,x254)+P4(x251,x252,x253)+~P4(x254,x255,x253)+~P4(x256,x255,x252)
% 0.20/0.67 [26]~P4(x266,x264,x261)+P4(x261,x262,x263)+~P4(x264,x262,x265)+~P4(x266,x265,x263)
% 0.20/0.67 [27]~P2(x271,x276,x274)+P2(x271,x272,x273)+~P2(x274,x275,x273)+~P2(x276,x275,x272)
% 0.20/0.67 [28]~P2(x286,x284,x281)+P2(x281,x282,x283)+~P2(x284,x282,x285)+~P2(x286,x285,x283)
% 0.20/0.67 [29]~P2(x295,x297,x292)+~P2(x294,x297,x291)+P4(x291,x292,x293)+~P4(x294,x295,x296)+~P2(x296,x297,x293)
% 0.20/0.67 [30]~P2(x307,x302,x305)+~P2(x306,x302,x304)+P2(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x307,x301)
% 0.20/0.67 %EqnAxiom
% 0.20/0.67
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 cnf(31,plain,
% 0.20/0.67 (~P2(a2,a5,a2)),
% 0.20/0.67 inference(scs_inference,[],[7,23])).
% 0.20/0.67 cnf(37,plain,
% 0.20/0.67 (P4(f6(a1),a1,a1)),
% 0.20/0.67 inference(scs_inference,[],[7,1,23,9,14,13,15])).
% 0.20/0.67 cnf(85,plain,
% 0.20/0.67 (~P2(x851,a4,a2)),
% 0.20/0.67 inference(scs_inference,[],[5,3,37,31,23,17,10,22,18,11,28])).
% 0.20/0.67 cnf(107,plain,
% 0.20/0.67 ($false),
% 0.20/0.67 inference(scs_inference,[],[3,85,23,14]),
% 0.20/0.67 ['proof']).
% 0.20/0.68 % SZS output end Proof
% 0.20/0.68 % Total time :0.020000s
%------------------------------------------------------------------------------