%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD030-3 : 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 : n014.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 05:55:19 EDT 2024
% Result : Unsatisfiable 1.13s 1.22s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : FLD030-3 : 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
% 0.12/0.34 % Computer : n014.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 : Wed Jun 19 11:47:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.53/0.57 start to proof:theBenchmark
% 1.13/1.21 %-------------------------------------------
% 1.13/1.21 % File :CSE---1.7
% 1.13/1.21 % Problem :theBenchmark
% 1.13/1.21 % Transform :cnf
% 1.13/1.21 % Format :tptp:raw
% 1.13/1.21 % Command :java -jar mcs_scs.jar %d %s
% 1.13/1.21
% 1.13/1.21 % Result :Theorem 0.600000s
% 1.13/1.21 % Output :CNFRefutation 0.600000s
% 1.13/1.21 %-------------------------------------------
% 1.13/1.21 %--------------------------------------------------------------------------
% 1.13/1.21 % File : FLD030-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 1.13/1.21 % Domain : Field Theory (Ordered fields)
% 1.13/1.21 % Problem : Compatibility of multiplication and equality relation
% 1.13/1.21 % Version : [Dra93] axioms : Especial.
% 1.13/1.21 % Theorem formulation : Functional with re axiom set.
% 1.13/1.21 % English :
% 1.13/1.21
% 1.13/1.21 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 1.13/1.21 % Source : [Dra93]
% 1.13/1.22 % Names :
% 1.13/1.22
% 1.13/1.22 % Status : Unsatisfiable
% 1.13/1.22 % Rating : 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 1.13/1.22 % Syntax : Number of clauses : 31 ( 8 unt; 3 nHn; 31 RR)
% 1.13/1.22 % Number of literals : 82 ( 0 equ; 50 neg)
% 1.13/1.22 % Maximal clause size : 5 ( 2 avg)
% 1.13/1.22 % Maximal term depth : 2 ( 1 avg)
% 1.13/1.22 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 1.13/1.22 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 1.13/1.22 % Number of variables : 73 ( 0 sgn)
% 1.13/1.22 % SPC : CNF_UNS_RFO_NEQ_NHN
% 1.13/1.22
% 1.13/1.22 % Comments :
% 1.13/1.22 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 1.13/1.22 %--------------------------------------------------------------------------
% 1.13/1.22 include('Axioms/FLD002-0.ax').
% 1.13/1.22 %--------------------------------------------------------------------------
% 1.13/1.22 cnf(a_is_defined,hypothesis,
% 1.13/1.22 defined(a) ).
% 1.13/1.22
% 1.13/1.22 cnf(b_is_defined,hypothesis,
% 1.13/1.22 defined(b) ).
% 1.13/1.22
% 1.13/1.22 cnf(d_is_defined,hypothesis,
% 1.13/1.22 defined(d) ).
% 1.13/1.22
% 1.13/1.22 cnf(product_4,negated_conjecture,
% 1.13/1.22 product(multiplicative_identity,a,d) ).
% 1.13/1.22
% 1.13/1.22 cnf(not_product_5,negated_conjecture,
% 1.13/1.22 ~ product(d,b,multiply(a,b)) ).
% 1.13/1.22
% 1.13/1.22 %--------------------------------------------------------------------------
% 1.13/1.22 %-------------------------------------------
% 1.13/1.22 % Proof found
% 1.13/1.22 % SZS status Theorem for theBenchmark
% 1.13/1.22 % SZS output start Proof
% 1.13/1.22 %ClaNum:31(EqnAxiom:0)
% 1.13/1.22 %VarNum:162(SingletonVarNum:73)
% 1.13/1.22 %MaxLitNum:5
% 1.13/1.22 %MaxfuncDepth:1
% 1.13/1.22 %SharedTerms:14
% 1.13/1.22 %goalClause: 6 8
% 1.13/1.22 %singleGoalClaCount:2
% 1.13/1.22 [1]P1(a1)
% 1.13/1.22 [2]P1(a4)
% 1.13/1.22 [3]P1(a2)
% 1.13/1.22 [4]P1(a5)
% 1.13/1.22 [5]P1(a7)
% 1.13/1.22 [6]P2(a4,a2,a7)
% 1.13/1.22 [7]~P4(a1,a1,a4)
% 1.13/1.22 [8]~P2(a7,a5,f8(a2,a5))
% 1.13/1.22 [14]~P1(x141)+P4(a1,x141,x141)
% 1.13/1.22 [15]~P1(x151)+P2(a4,x151,x151)
% 1.13/1.22 [9]~P1(x91)+P1(f6(x91))
% 1.13/1.22 [16]~P1(x161)+P4(f6(x161),x161,a1)
% 1.13/1.22 [23]~P4(x232,x231,x233)+P4(x231,x232,x233)
% 1.13/1.22 [24]~P2(x242,x241,x243)+P2(x241,x242,x243)
% 1.13/1.22 [17]~P1(x171)+P4(a1,x171,a1)+P1(f9(x171))
% 1.13/1.22 [21]~P1(x211)+P2(f9(x211),x211,a4)+P4(a1,x211,a1)
% 1.13/1.22 [20]~P3(x202,x201)+~P3(x201,x202)+P4(a1,x201,x202)
% 1.13/1.22 [11]~P1(x112)+~P1(x111)+P1(f3(x111,x112))
% 1.13/1.22 [12]~P1(x122)+~P1(x121)+P1(f8(x121,x122))
% 1.13/1.22 [18]~P1(x182)+~P1(x181)+P4(x181,x182,f3(x181,x182))
% 1.13/1.22 [19]~P1(x192)+~P1(x191)+P2(x191,x192,f8(x191,x192))
% 1.13/1.22 [13]~P3(x131,x133)+P3(x131,x132)+~P3(x133,x132)
% 1.13/1.22 [10]P3(x102,x101)+~P1(x101)+~P1(x102)+P3(x101,x102)
% 1.13/1.22 [22]~P2(x223,x222,x221)+P3(a1,x221)+~P3(a1,x222)+~P3(a1,x223)
% 1.13/1.22 [25]~P4(x253,x255,x251)+P3(x251,x252)+~P4(x254,x255,x252)+~P3(x253,x254)
% 1.13/1.22 [26]~P4(x261,x266,x264)+P4(x261,x262,x263)+~P4(x264,x265,x263)+~P4(x266,x265,x262)
% 1.13/1.22 [27]~P4(x276,x274,x271)+P4(x271,x272,x273)+~P4(x274,x272,x275)+~P4(x276,x275,x273)
% 1.13/1.22 [28]~P2(x281,x286,x284)+P2(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x285,x282)
% 1.13/1.22 [29]~P2(x296,x294,x291)+P2(x291,x292,x293)+~P2(x294,x292,x295)+~P2(x296,x295,x293)
% 1.13/1.22 [30]~P2(x305,x307,x302)+~P2(x304,x307,x301)+P4(x301,x302,x303)+~P4(x304,x305,x306)+~P2(x306,x307,x303)
% 1.13/1.22 [31]~P2(x317,x312,x315)+~P2(x316,x312,x314)+P2(x311,x312,x313)+~P4(x314,x315,x313)+~P4(x316,x317,x311)
% 1.13/1.22 %EqnAxiom
% 1.13/1.22
% 1.13/1.22 %-------------------------------------------
% 1.13/1.22 cnf(32,plain,
% 1.13/1.22 (~P2(a5,a7,f8(a2,a5))),
% 1.13/1.22 inference(scs_inference,[],[8,24])).
% 1.13/1.22 cnf(43,plain,
% 1.13/1.22 (~P2(a5,a4,x431)+~P2(x431,a2,f8(a2,a5))),
% 1.13/1.22 inference(scs_inference,[],[6,32,2,10,28])).
% 1.13/1.22 cnf(275,plain,
% 1.13/1.22 (~P2(a2,x2751,f8(a2,a5))+~P2(a5,a4,x2751)),
% 1.13/1.22 inference(scs_inference,[],[43,24])).
% 1.13/1.22 cnf(387,plain,
% 1.13/1.22 (~P2(a5,a4,a5)),
% 1.13/1.22 inference(scs_inference,[],[4,3,275,19])).
% 1.13/1.22 cnf(390,plain,
% 1.13/1.22 ($false),
% 1.13/1.22 inference(scs_inference,[],[387,4,24,15]),
% 1.13/1.22 ['proof']).
% 1.13/1.22 % SZS output end Proof
% 1.13/1.22 % Total time :0.600000s
%------------------------------------------------------------------------------