%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD025-4 : 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 : n017.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 05:55:17 EDT 2024
% Result : Unsatisfiable 0.81s 0.88s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : FLD025-4 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n017.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 10:15:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.81/0.87 %-------------------------------------------
% 0.81/0.87 % File :CSE---1.7
% 0.81/0.87 % Problem :theBenchmark
% 0.81/0.87 % Transform :cnf
% 0.81/0.87 % Format :tptp:raw
% 0.81/0.87 % Command :java -jar mcs_scs.jar %d %s
% 0.81/0.87
% 0.81/0.87 % Result :Theorem 0.280000s
% 0.81/0.87 % Output :CNFRefutation 0.280000s
% 0.81/0.87 %-------------------------------------------
% 0.81/0.88 %--------------------------------------------------------------------------
% 0.81/0.88 % File : FLD025-4 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.81/0.88 % Domain : Field Theory (Ordered fields)
% 0.81/0.88 % Problem : The resulting equation of a multiplication of two equations
% 0.81/0.88 % Version : [Dra93] axioms : Especial.
% 0.81/0.88 % Theorem formulation : Relational with re axiom set.
% 0.81/0.88 % English :
% 0.81/0.88
% 0.81/0.88 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.81/0.88 % Source : [Dra93]
% 0.81/0.88 % Names :
% 0.81/0.88
% 0.81/0.88 % Status : Unsatisfiable
% 0.81/0.88 % 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
% 0.81/0.88 % Syntax : Number of clauses : 35 ( 12 unt; 3 nHn; 35 RR)
% 0.81/0.88 % Number of literals : 86 ( 0 equ; 50 neg)
% 0.81/0.88 % Maximal clause size : 5 ( 2 avg)
% 0.81/0.88 % Maximal term depth : 2 ( 1 avg)
% 0.81/0.88 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.81/0.88 % Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% 0.81/0.88 % Number of variables : 73 ( 0 sgn)
% 0.81/0.88 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.81/0.88
% 0.81/0.88 % Comments :
% 0.81/0.88 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.81/0.88 %--------------------------------------------------------------------------
% 0.81/0.88 include('Axioms/FLD002-0.ax').
% 0.81/0.88 %--------------------------------------------------------------------------
% 0.81/0.88 cnf(a_is_defined,hypothesis,
% 0.81/0.88 defined(a) ).
% 0.81/0.88
% 0.81/0.88 cnf(b_is_defined,hypothesis,
% 0.81/0.88 defined(b) ).
% 0.81/0.88
% 0.81/0.88 cnf(c_is_defined,hypothesis,
% 0.81/0.88 defined(c) ).
% 0.81/0.88
% 0.81/0.88 cnf(d_is_defined,hypothesis,
% 0.81/0.88 defined(d) ).
% 0.81/0.88
% 0.81/0.88 cnf(u_is_defined,hypothesis,
% 0.81/0.88 defined(u) ).
% 0.81/0.88
% 0.81/0.88 cnf(product_6,negated_conjecture,
% 0.81/0.88 product(multiplicative_identity,a,b) ).
% 0.81/0.88
% 0.81/0.88 cnf(product_7,negated_conjecture,
% 0.81/0.88 product(multiplicative_identity,c,d) ).
% 0.81/0.88
% 0.81/0.88 cnf(product_8,negated_conjecture,
% 0.81/0.88 product(a,c,u) ).
% 0.81/0.88
% 0.81/0.88 cnf(not_product_9,negated_conjecture,
% 0.81/0.88 ~ product(d,b,u) ).
% 0.81/0.88
% 0.81/0.88 %--------------------------------------------------------------------------
% 0.81/0.88 %-------------------------------------------
% 0.81/0.88 % Proof found
% 0.81/0.88 % SZS status Theorem for theBenchmark
% 0.81/0.88 % SZS output start Proof
% 0.81/0.88 %ClaNum:35(EqnAxiom:0)
% 0.81/0.88 %VarNum:162(SingletonVarNum:73)
% 0.81/0.88 %MaxLitNum:5
% 0.81/0.88 %MaxfuncDepth:1
% 0.81/0.88 %SharedTerms:19
% 0.81/0.88 %goalClause: 8 9 10 12
% 0.81/0.88 %singleGoalClaCount:4
% 0.81/0.88 [1]P1(a1)
% 0.81/0.88 [2]P1(a4)
% 0.81/0.88 [3]P1(a2)
% 0.81/0.88 [4]P1(a5)
% 0.81/0.88 [5]P1(a7)
% 0.81/0.88 [6]P1(a8)
% 0.81/0.88 [7]P1(a9)
% 0.81/0.88 [8]P2(a4,a2,a5)
% 0.81/0.88 [9]P2(a4,a7,a8)
% 0.81/0.88 [10]P2(a2,a7,a9)
% 0.81/0.88 [11]~P4(a1,a1,a4)
% 0.81/0.88 [12]~P2(a8,a5,a9)
% 0.81/0.88 [18]~P1(x181)+P4(a1,x181,x181)
% 0.81/0.88 [19]~P1(x191)+P2(a4,x191,x191)
% 0.81/0.88 [13]~P1(x131)+P1(f6(x131))
% 0.81/0.88 [20]~P1(x201)+P4(f6(x201),x201,a1)
% 0.81/0.88 [27]~P4(x272,x271,x273)+P4(x271,x272,x273)
% 0.81/0.88 [28]~P2(x282,x281,x283)+P2(x281,x282,x283)
% 0.81/0.88 [21]~P1(x211)+P4(a1,x211,a1)+P1(f11(x211))
% 0.81/0.88 [25]~P1(x251)+P2(f11(x251),x251,a4)+P4(a1,x251,a1)
% 0.81/0.88 [24]~P3(x242,x241)+~P3(x241,x242)+P4(a1,x241,x242)
% 0.81/0.88 [15]~P1(x152)+~P1(x151)+P1(f3(x151,x152))
% 0.81/0.88 [16]~P1(x162)+~P1(x161)+P1(f10(x161,x162))
% 0.81/0.88 [22]~P1(x222)+~P1(x221)+P4(x221,x222,f3(x221,x222))
% 0.81/0.88 [23]~P1(x232)+~P1(x231)+P2(x231,x232,f10(x231,x232))
% 0.81/0.88 [17]~P3(x171,x173)+P3(x171,x172)+~P3(x173,x172)
% 0.81/0.88 [14]P3(x142,x141)+~P1(x141)+~P1(x142)+P3(x141,x142)
% 0.81/0.88 [26]~P2(x263,x262,x261)+P3(a1,x261)+~P3(a1,x262)+~P3(a1,x263)
% 0.81/0.88 [29]~P4(x293,x295,x291)+P3(x291,x292)+~P4(x294,x295,x292)+~P3(x293,x294)
% 0.81/0.88 [30]~P4(x301,x306,x304)+P4(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x305,x302)
% 0.81/0.88 [31]~P4(x316,x314,x311)+P4(x311,x312,x313)+~P4(x314,x312,x315)+~P4(x316,x315,x313)
% 0.81/0.88 [32]~P2(x321,x326,x324)+P2(x321,x322,x323)+~P2(x324,x325,x323)+~P2(x326,x325,x322)
% 0.81/0.88 [33]~P2(x336,x334,x331)+P2(x331,x332,x333)+~P2(x334,x332,x335)+~P2(x336,x335,x333)
% 0.81/0.88 [34]~P2(x345,x347,x342)+~P2(x344,x347,x341)+P4(x341,x342,x343)+~P4(x344,x345,x346)+~P2(x346,x347,x343)
% 0.81/0.88 [35]~P2(x357,x352,x355)+~P2(x356,x352,x354)+P2(x351,x352,x353)+~P4(x354,x355,x353)+~P4(x356,x357,x351)
% 0.81/0.88 %EqnAxiom
% 0.81/0.88
% 0.81/0.88 %-------------------------------------------
% 0.81/0.88 cnf(38,plain,
% 0.81/0.88 (~P2(a5,a4,a2)),
% 0.81/0.88 inference(scs_inference,[],[9,10,12,28,32])).
% 0.81/0.88 cnf(47,plain,
% 0.81/0.88 (~P2(a4,a5,a2)),
% 0.81/0.88 inference(scs_inference,[],[38,28])).
% 0.81/0.88 cnf(58,plain,
% 0.81/0.88 (~P2(a4,a4,x581)+~P2(x581,a2,a2)),
% 0.81/0.88 inference(scs_inference,[],[8,47,3,14,32])).
% 0.81/0.88 cnf(236,plain,
% 0.81/0.88 (~P2(a4,a4,a4)),
% 0.81/0.88 inference(scs_inference,[],[3,58,19])).
% 0.81/0.88 cnf(237,plain,
% 0.81/0.88 ($false),
% 0.81/0.88 inference(scs_inference,[],[236,2,19]),
% 0.81/0.88 ['proof']).
% 0.81/0.88 % SZS output end Proof
% 0.81/0.88 % Total time :0.280000s
%------------------------------------------------------------------------------