%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD030-4 : 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 : n025.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 0.52s 0.93s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD030-4 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jun 19 10:54:24 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.51/0.56 start to proof:theBenchmark
% 0.52/0.92 %-------------------------------------------
% 0.52/0.92 % File :CSE---1.7
% 0.52/0.92 % Problem :theBenchmark
% 0.52/0.92 % Transform :cnf
% 0.52/0.92 % Format :tptp:raw
% 0.52/0.92 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.92
% 0.52/0.92 % Result :Theorem 0.320000s
% 0.52/0.92 % Output :CNFRefutation 0.320000s
% 0.52/0.92 %-------------------------------------------
% 0.52/0.93 %--------------------------------------------------------------------------
% 0.52/0.93 % File : FLD030-4 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.52/0.93 % Domain : Field Theory (Ordered fields)
% 0.52/0.93 % Problem : Compatibility of multiplication and equality relation
% 0.52/0.93 % Version : [Dra93] axioms : Especial.
% 0.52/0.93 % Theorem formulation : Relational with re axiom set.
% 0.52/0.93 % English :
% 0.52/0.93
% 0.52/0.93 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.52/0.93 % Source : [Dra93]
% 0.52/0.93 % Names :
% 0.52/0.93
% 0.52/0.93 % Status : Unsatisfiable
% 0.52/0.93 % 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
% 0.52/0.93 % Syntax : Number of clauses : 33 ( 10 unt; 3 nHn; 33 RR)
% 0.52/0.93 % Number of literals : 84 ( 0 equ; 50 neg)
% 0.52/0.93 % Maximal clause size : 5 ( 2 avg)
% 0.52/0.93 % Maximal term depth : 2 ( 1 avg)
% 0.52/0.93 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.52/0.93 % Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% 0.52/0.93 % Number of variables : 73 ( 0 sgn)
% 0.52/0.93 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.52/0.93
% 0.52/0.93 % Comments :
% 0.52/0.93 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.52/0.93 %--------------------------------------------------------------------------
% 0.52/0.93 include('Axioms/FLD002-0.ax').
% 0.52/0.93 %--------------------------------------------------------------------------
% 0.52/0.93 cnf(a_is_defined,hypothesis,
% 0.52/0.93 defined(a) ).
% 0.52/0.93
% 0.52/0.93 cnf(b_is_defined,hypothesis,
% 0.52/0.93 defined(b) ).
% 0.52/0.93
% 0.52/0.93 cnf(c_is_defined,hypothesis,
% 0.52/0.93 defined(c) ).
% 0.52/0.93
% 0.52/0.93 cnf(d_is_defined,hypothesis,
% 0.52/0.93 defined(d) ).
% 0.52/0.93
% 0.52/0.93 cnf(product_5,negated_conjecture,
% 0.52/0.93 product(a,b,c) ).
% 0.52/0.93
% 0.52/0.93 cnf(product_6,negated_conjecture,
% 0.52/0.93 product(multiplicative_identity,a,d) ).
% 0.52/0.93
% 0.52/0.93 cnf(not_product_7,negated_conjecture,
% 0.52/0.93 ~ product(d,b,c) ).
% 0.52/0.93
% 0.52/0.93 %--------------------------------------------------------------------------
% 0.52/0.93 %-------------------------------------------
% 0.52/0.93 % Proof found
% 0.52/0.93 % SZS status Theorem for theBenchmark
% 0.52/0.93 % SZS output start Proof
% 0.52/0.93 %ClaNum:33(EqnAxiom:0)
% 0.52/0.93 %VarNum:162(SingletonVarNum:73)
% 0.52/0.93 %MaxLitNum:5
% 0.52/0.93 %MaxfuncDepth:1
% 0.52/0.93 %SharedTerms:16
% 0.52/0.93 %goalClause: 7 8 10
% 0.52/0.93 %singleGoalClaCount:3
% 0.52/0.93 [1]P1(a1)
% 0.52/0.93 [2]P1(a4)
% 0.52/0.93 [3]P1(a2)
% 0.52/0.93 [4]P1(a5)
% 0.52/0.93 [5]P1(a7)
% 0.52/0.93 [6]P1(a8)
% 0.52/0.93 [7]P2(a4,a2,a8)
% 0.52/0.93 [8]P2(a2,a5,a7)
% 0.52/0.93 [9]~P4(a1,a1,a4)
% 0.52/0.93 [10]~P2(a8,a5,a7)
% 0.52/0.93 [16]~P1(x161)+P4(a1,x161,x161)
% 0.52/0.93 [17]~P1(x171)+P2(a4,x171,x171)
% 0.52/0.93 [11]~P1(x111)+P1(f6(x111))
% 0.52/0.93 [18]~P1(x181)+P4(f6(x181),x181,a1)
% 0.52/0.93 [25]~P4(x252,x251,x253)+P4(x251,x252,x253)
% 0.52/0.93 [26]~P2(x262,x261,x263)+P2(x261,x262,x263)
% 0.52/0.93 [19]~P1(x191)+P4(a1,x191,a1)+P1(f10(x191))
% 0.52/0.93 [23]~P1(x231)+P2(f10(x231),x231,a4)+P4(a1,x231,a1)
% 0.52/0.93 [22]~P3(x222,x221)+~P3(x221,x222)+P4(a1,x221,x222)
% 0.52/0.93 [13]~P1(x132)+~P1(x131)+P1(f3(x131,x132))
% 0.52/0.93 [14]~P1(x142)+~P1(x141)+P1(f9(x141,x142))
% 0.52/0.93 [20]~P1(x202)+~P1(x201)+P4(x201,x202,f3(x201,x202))
% 0.52/0.93 [21]~P1(x212)+~P1(x211)+P2(x211,x212,f9(x211,x212))
% 0.52/0.93 [15]~P3(x151,x153)+P3(x151,x152)+~P3(x153,x152)
% 0.52/0.93 [12]P3(x122,x121)+~P1(x121)+~P1(x122)+P3(x121,x122)
% 0.52/0.93 [24]~P2(x243,x242,x241)+P3(a1,x241)+~P3(a1,x242)+~P3(a1,x243)
% 0.52/0.93 [27]~P4(x273,x275,x271)+P3(x271,x272)+~P4(x274,x275,x272)+~P3(x273,x274)
% 0.52/0.93 [28]~P4(x281,x286,x284)+P4(x281,x282,x283)+~P4(x284,x285,x283)+~P4(x286,x285,x282)
% 0.52/0.93 [29]~P4(x296,x294,x291)+P4(x291,x292,x293)+~P4(x294,x292,x295)+~P4(x296,x295,x293)
% 0.52/0.93 [30]~P2(x301,x306,x304)+P2(x301,x302,x303)+~P2(x304,x305,x303)+~P2(x306,x305,x302)
% 0.52/0.93 [31]~P2(x316,x314,x311)+P2(x311,x312,x313)+~P2(x314,x312,x315)+~P2(x316,x315,x313)
% 0.52/0.93 [32]~P2(x325,x327,x322)+~P2(x324,x327,x321)+P4(x321,x322,x323)+~P4(x324,x325,x326)+~P2(x326,x327,x323)
% 0.52/0.93 [33]~P2(x337,x332,x335)+~P2(x336,x332,x334)+P2(x331,x332,x333)+~P4(x334,x335,x333)+~P4(x336,x337,x331)
% 0.52/0.93 %EqnAxiom
% 0.52/0.93
% 0.52/0.93 %-------------------------------------------
% 0.52/0.93 cnf(34,plain,
% 0.52/0.93 (~P2(a5,a8,a7)),
% 0.52/0.93 inference(scs_inference,[],[10,26])).
% 0.52/0.93 cnf(57,plain,
% 0.52/0.93 (~P2(a5,a4,x571)+~P2(x571,a2,a7)),
% 0.52/0.93 inference(scs_inference,[],[7,34,4,12,30])).
% 0.52/0.93 cnf(252,plain,
% 0.52/0.93 (~P2(a5,a4,a5)),
% 0.52/0.93 inference(scs_inference,[],[8,57,26])).
% 0.52/0.93 cnf(255,plain,
% 0.52/0.93 ($false),
% 0.52/0.93 inference(scs_inference,[],[252,4,26,17]),
% 0.52/0.93 ['proof']).
% 0.52/0.93 % SZS output end Proof
% 0.52/0.93 % Total time :0.320000s
%------------------------------------------------------------------------------