%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD055-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 05:55:30 EDT 2024
% Result : Unsatisfiable 0.54s 1.00s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : FLD055-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 09:56:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.51/0.58 start to proof:theBenchmark
% 0.54/0.99 %-------------------------------------------
% 0.54/0.99 % File :CSE---1.7
% 0.54/0.99 % Problem :theBenchmark
% 0.54/0.99 % Transform :cnf
% 0.54/0.99 % Format :tptp:raw
% 0.54/0.99 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.99
% 0.54/0.99 % Result :Theorem 0.380000s
% 0.54/0.99 % Output :CNFRefutation 0.380000s
% 0.54/0.99 %-------------------------------------------
% 0.54/1.00 %--------------------------------------------------------------------------
% 0.54/1.00 % File : FLD055-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.54/1.00 % Domain : Field Theory (Ordered fields)
% 0.54/1.00 % Problem : Compatibility of order and equality relation
% 0.54/1.00 % Version : [Dra93] axioms : Especial.
% 0.54/1.00 % Theorem formulation : Functional with re axiom set.
% 0.54/1.00 % English :
% 0.54/1.00
% 0.54/1.00 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.54/1.00 % Source : [Dra93]
% 0.54/1.00 % Names :
% 0.54/1.00
% 0.54/1.00 % Status : Unsatisfiable
% 0.54/1.00 % Rating : 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.2.1, 0.33 v2.1.0
% 0.54/1.00 % Syntax : Number of clauses : 32 ( 9 unt; 3 nHn; 32 RR)
% 0.54/1.00 % Number of literals : 83 ( 0 equ; 50 neg)
% 0.54/1.00 % Maximal clause size : 5 ( 2 avg)
% 0.54/1.00 % Maximal term depth : 2 ( 1 avg)
% 0.54/1.00 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.54/1.00 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 0.54/1.00 % Number of variables : 73 ( 0 sgn)
% 0.54/1.00 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.54/1.00
% 0.54/1.00 % Comments :
% 0.54/1.00 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.54/1.00 %--------------------------------------------------------------------------
% 0.54/1.00 include('Axioms/FLD002-0.ax').
% 0.54/1.00 %--------------------------------------------------------------------------
% 0.54/1.00 cnf(a_is_defined,hypothesis,
% 0.54/1.00 defined(a) ).
% 0.54/1.00
% 0.54/1.00 cnf(b_is_defined,hypothesis,
% 0.54/1.00 defined(b) ).
% 0.54/1.00
% 0.54/1.00 cnf(c_is_defined,hypothesis,
% 0.54/1.00 defined(c) ).
% 0.54/1.00
% 0.54/1.00 cnf(less_or_equal_4,negated_conjecture,
% 0.54/1.00 less_or_equal(a,b) ).
% 0.54/1.00
% 0.54/1.00 cnf(sum_5,negated_conjecture,
% 0.54/1.00 sum(additive_identity,b,c) ).
% 0.54/1.00
% 0.54/1.00 cnf(not_less_or_equal_6,negated_conjecture,
% 0.54/1.00 ~ less_or_equal(a,c) ).
% 0.54/1.00
% 0.54/1.00 %--------------------------------------------------------------------------
% 0.54/1.00 %-------------------------------------------
% 0.54/1.00 % Proof found
% 0.54/1.00 % SZS status Theorem for theBenchmark
% 0.54/1.00 % SZS output start Proof
% 0.54/1.00 %ClaNum:32(EqnAxiom:0)
% 0.54/1.00 %VarNum:162(SingletonVarNum:73)
% 0.54/1.00 %MaxLitNum:5
% 0.54/1.00 %MaxfuncDepth:1
% 0.54/1.00 %SharedTerms:14
% 0.54/1.00 %goalClause: 6 7 8
% 0.54/1.00 %singleGoalClaCount:3
% 0.54/1.00 [1]P1(a1)
% 0.54/1.00 [2]P1(a4)
% 0.54/1.00 [3]P1(a2)
% 0.54/1.00 [4]P1(a5)
% 0.54/1.00 [5]P1(a7)
% 0.54/1.00 [6]P2(a2,a5)
% 0.54/1.00 [7]P3(a1,a5,a7)
% 0.54/1.00 [8]~P2(a2,a7)
% 0.54/1.00 [9]~P3(a1,a1,a4)
% 0.54/1.00 [15]~P1(x151)+P3(a1,x151,x151)
% 0.54/1.00 [16]~P1(x161)+P4(a4,x161,x161)
% 0.54/1.00 [10]~P1(x101)+P1(f6(x101))
% 0.54/1.00 [17]~P1(x171)+P3(f6(x171),x171,a1)
% 0.54/1.00 [24]~P3(x242,x241,x243)+P3(x241,x242,x243)
% 0.54/1.00 [25]~P4(x252,x251,x253)+P4(x251,x252,x253)
% 0.54/1.00 [18]~P1(x181)+P3(a1,x181,a1)+P1(f9(x181))
% 0.54/1.00 [22]~P1(x221)+P4(f9(x221),x221,a4)+P3(a1,x221,a1)
% 0.54/1.00 [21]~P2(x212,x211)+~P2(x211,x212)+P3(a1,x211,x212)
% 0.54/1.00 [12]~P1(x122)+~P1(x121)+P1(f3(x121,x122))
% 0.54/1.00 [13]~P1(x132)+~P1(x131)+P1(f8(x131,x132))
% 0.54/1.00 [19]~P1(x192)+~P1(x191)+P3(x191,x192,f3(x191,x192))
% 0.54/1.00 [20]~P1(x202)+~P1(x201)+P4(x201,x202,f8(x201,x202))
% 0.54/1.00 [14]~P2(x141,x143)+P2(x141,x142)+~P2(x143,x142)
% 0.54/1.00 [11]P2(x112,x111)+~P1(x111)+~P1(x112)+P2(x111,x112)
% 0.54/1.00 [23]~P4(x233,x232,x231)+P2(a1,x231)+~P2(a1,x232)+~P2(a1,x233)
% 0.54/1.00 [26]~P3(x263,x265,x261)+P2(x261,x262)+~P3(x264,x265,x262)+~P2(x263,x264)
% 0.54/1.00 [27]~P3(x271,x276,x274)+P3(x271,x272,x273)+~P3(x274,x275,x273)+~P3(x276,x275,x272)
% 0.54/1.00 [28]~P3(x286,x284,x281)+P3(x281,x282,x283)+~P3(x284,x282,x285)+~P3(x286,x285,x283)
% 0.54/1.00 [29]~P4(x291,x296,x294)+P4(x291,x292,x293)+~P4(x294,x295,x293)+~P4(x296,x295,x292)
% 0.54/1.00 [30]~P4(x306,x304,x301)+P4(x301,x302,x303)+~P4(x304,x302,x305)+~P4(x306,x305,x303)
% 0.54/1.00 [31]~P4(x315,x317,x312)+~P4(x314,x317,x311)+P3(x311,x312,x313)+~P3(x314,x315,x316)+~P4(x316,x317,x313)
% 0.54/1.00 [32]~P4(x327,x322,x325)+~P4(x326,x322,x324)+P4(x321,x322,x323)+~P3(x324,x325,x323)+~P3(x326,x327,x321)
% 0.54/1.00 %EqnAxiom
% 0.54/1.00
% 0.54/1.00 %-------------------------------------------
% 0.54/1.01 cnf(48,plain,
% 0.54/1.01 (~P3(a2,x481,a2)+~P3(a5,x481,a7)),
% 0.54/1.01 inference(scs_inference,[],[6,8,7,2,11,14,27,26])).
% 0.54/1.01 cnf(53,plain,
% 0.54/1.01 (P2(a2,a2)),
% 0.54/1.01 inference(scs_inference,[],[3,11])).
% 0.54/1.01 cnf(282,plain,
% 0.54/1.01 (~P3(a2,a1,a2)),
% 0.54/1.01 inference(scs_inference,[],[7,48,24])).
% 0.54/1.01 cnf(285,plain,
% 0.54/1.01 ($false),
% 0.54/1.01 inference(scs_inference,[],[53,282,24,21]),
% 0.54/1.01 ['proof']).
% 0.54/1.01 % SZS output end Proof
% 0.54/1.01 % Total time :0.380000s
%------------------------------------------------------------------------------