%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD034-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 05:55:21 EDT 2024
% Result : Unsatisfiable 19.94s 20.00s
% Output : CNFRefutation 19.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD034-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.04/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 12:00:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.53/0.58 start to proof:theBenchmark
% 19.94/19.99 %-------------------------------------------
% 19.94/19.99 % File :CSE---1.7
% 19.94/19.99 % Problem :theBenchmark
% 19.94/19.99 % Transform :cnf
% 19.94/19.99 % Format :tptp:raw
% 19.94/19.99 % Command :java -jar mcs_scs.jar %d %s
% 19.94/19.99
% 19.94/19.99 % Result :Theorem 19.370000s
% 19.94/19.99 % Output :CNFRefutation 19.370000s
% 19.94/19.99 %-------------------------------------------
% 19.94/20.00 %--------------------------------------------------------------------------
% 19.94/20.00 % File : FLD034-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 19.94/20.00 % Domain : Field Theory (Ordered fields)
% 19.94/20.00 % Problem : Every element equal one is a multiplicative identity
% 19.94/20.00 % Version : [Dra93] axioms : Especial.
% 19.94/20.00 % Theorem formulation : Functional with re axiom set.
% 19.94/20.00 % English :
% 19.94/20.00
% 19.94/20.00 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 19.94/20.00 % Source : [Dra93]
% 19.94/20.00 % Names :
% 19.94/20.00
% 19.94/20.00 % Status : Unsatisfiable
% 19.94/20.00 % Rating : 0.00 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 19.94/20.00 % Syntax : Number of clauses : 30 ( 7 unt; 3 nHn; 30 RR)
% 19.94/20.00 % Number of literals : 81 ( 0 equ; 50 neg)
% 19.94/20.00 % Maximal clause size : 5 ( 2 avg)
% 19.94/20.00 % Maximal term depth : 2 ( 1 avg)
% 19.94/20.00 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 19.94/20.00 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 19.94/20.00 % Number of variables : 73 ( 0 sgn)
% 19.94/20.00 % SPC : CNF_UNS_RFO_NEQ_NHN
% 19.94/20.00
% 19.94/20.00 % Comments :
% 19.94/20.00 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 19.94/20.00 %--------------------------------------------------------------------------
% 19.94/20.00 include('Axioms/FLD002-0.ax').
% 19.94/20.00 %--------------------------------------------------------------------------
% 19.94/20.00 cnf(a_is_defined,hypothesis,
% 19.94/20.00 defined(a) ).
% 19.94/20.00
% 19.94/20.00 cnf(m_is_defined,hypothesis,
% 19.94/20.00 defined(m) ).
% 19.94/20.00
% 19.94/20.00 cnf(product_3,negated_conjecture,
% 19.94/20.00 product(multiplicative_identity,m,multiplicative_identity) ).
% 19.94/20.00
% 19.94/20.00 cnf(not_product_4,negated_conjecture,
% 19.94/20.00 ~ product(m,a,a) ).
% 19.94/20.00
% 19.94/20.00 %--------------------------------------------------------------------------
% 19.94/20.00 %-------------------------------------------
% 19.94/20.00 % Proof found
% 19.94/20.00 % SZS status Theorem for theBenchmark
% 19.94/20.00 % SZS output start Proof
% 19.94/20.00 %ClaNum:30(EqnAxiom:0)
% 19.94/20.00 %VarNum:162(SingletonVarNum:73)
% 19.94/20.00 %MaxLitNum:5
% 19.94/20.00 %MaxfuncDepth:1
% 19.94/20.00 %SharedTerms:11
% 19.94/20.00 %goalClause: 5 7
% 19.94/20.00 %singleGoalClaCount:2
% 19.94/20.00 [1]P1(a1)
% 19.94/20.00 [2]P1(a4)
% 19.94/20.00 [3]P1(a2)
% 19.94/20.00 [4]P1(a5)
% 19.94/20.00 [5]P2(a4,a5,a4)
% 19.94/20.00 [6]~P4(a1,a1,a4)
% 19.94/20.00 [7]~P2(a5,a2,a2)
% 19.94/20.00 [13]~P1(x131)+P4(a1,x131,x131)
% 19.94/20.00 [14]~P1(x141)+P2(a4,x141,x141)
% 19.94/20.00 [8]~P1(x81)+P1(f6(x81))
% 19.94/20.00 [15]~P1(x151)+P4(f6(x151),x151,a1)
% 19.94/20.00 [22]~P4(x222,x221,x223)+P4(x221,x222,x223)
% 19.94/20.00 [23]~P2(x232,x231,x233)+P2(x231,x232,x233)
% 19.94/20.00 [16]~P1(x161)+P4(a1,x161,a1)+P1(f8(x161))
% 19.94/20.00 [20]~P1(x201)+P2(f8(x201),x201,a4)+P4(a1,x201,a1)
% 19.94/20.00 [19]~P3(x192,x191)+~P3(x191,x192)+P4(a1,x191,x192)
% 19.94/20.00 [10]~P1(x102)+~P1(x101)+P1(f3(x101,x102))
% 19.94/20.00 [11]~P1(x112)+~P1(x111)+P1(f7(x111,x112))
% 19.94/20.00 [17]~P1(x172)+~P1(x171)+P4(x171,x172,f3(x171,x172))
% 19.94/20.00 [18]~P1(x182)+~P1(x181)+P2(x181,x182,f7(x181,x182))
% 19.94/20.00 [12]~P3(x121,x123)+P3(x121,x122)+~P3(x123,x122)
% 19.94/20.00 [9]P3(x92,x91)+~P1(x91)+~P1(x92)+P3(x91,x92)
% 19.94/20.00 [21]~P2(x213,x212,x211)+P3(a1,x211)+~P3(a1,x212)+~P3(a1,x213)
% 19.94/20.00 [24]~P4(x243,x245,x241)+P3(x241,x242)+~P4(x244,x245,x242)+~P3(x243,x244)
% 19.94/20.00 [25]~P4(x251,x256,x254)+P4(x251,x252,x253)+~P4(x254,x255,x253)+~P4(x256,x255,x252)
% 19.94/20.00 [26]~P4(x266,x264,x261)+P4(x261,x262,x263)+~P4(x264,x262,x265)+~P4(x266,x265,x263)
% 19.94/20.00 [27]~P2(x271,x276,x274)+P2(x271,x272,x273)+~P2(x274,x275,x273)+~P2(x276,x275,x272)
% 19.94/20.00 [28]~P2(x286,x284,x281)+P2(x281,x282,x283)+~P2(x284,x282,x285)+~P2(x286,x285,x283)
% 19.94/20.00 [29]~P2(x295,x297,x292)+~P2(x294,x297,x291)+P4(x291,x292,x293)+~P4(x294,x295,x296)+~P2(x296,x297,x293)
% 19.94/20.00 [30]~P2(x307,x302,x305)+~P2(x306,x302,x304)+P2(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x307,x301)
% 19.94/20.00 %EqnAxiom
% 19.94/20.00
% 19.94/20.00 %-------------------------------------------
% 19.94/20.01 cnf(3669,plain,
% 19.94/20.01 (P2(a5,a4,a4)),
% 19.94/20.01 inference(scs_inference,[],[5,23])).
% 19.94/20.01 cnf(4841,plain,
% 19.94/20.01 (~P2(a4,x48411,a2)),
% 19.94/20.01 inference(scs_inference,[],[7,3669,27])).
% 19.94/20.01 cnf(4846,plain,
% 19.94/20.01 ($false),
% 19.94/20.01 inference(scs_inference,[],[4841,3,14]),
% 19.94/20.01 ['proof']).
% 19.94/20.01 % SZS output end Proof
% 19.94/20.01 % Total time :19.370000s
%------------------------------------------------------------------------------