TSTP Solution File: FLD025-5 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n010.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 : Wed Aug 30 22:26:35 EDT 2023
% Result : Unsatisfiable 0.18s 0.65s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.33 % Computer : n010.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun Aug 27 23:09:19 EDT 2023
% 0.14/0.33 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.18/0.64 %-------------------------------------------
% 0.18/0.64 % File :CSE---1.6
% 0.18/0.64 % Problem :theBenchmark
% 0.18/0.64 % Transform :cnf
% 0.18/0.64 % Format :tptp:raw
% 0.18/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.64
% 0.18/0.64 % Result :Theorem 0.040000s
% 0.18/0.64 % Output :CNFRefutation 0.040000s
% 0.18/0.64 %-------------------------------------------
% 0.18/0.64 %--------------------------------------------------------------------------
% 0.18/0.64 % File : FLD025-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.18/0.64 % Domain : Field Theory (Ordered fields)
% 0.18/0.64 % Problem : The resulting equation of a multiplication of two equations
% 0.18/0.64 % Version : [Dra93] axioms : Especial.
% 0.18/0.64 % Theorem formulation : Relational variant with re axiom set.
% 0.18/0.64 % English :
% 0.18/0.64
% 0.18/0.64 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.18/0.64 % Source : [Dra93]
% 0.18/0.64 % Names :
% 0.18/0.64
% 0.18/0.64 % Status : Unsatisfiable
% 0.18/0.64 % 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
% 0.18/0.64 % Syntax : Number of clauses : 37 ( 14 unt; 3 nHn; 37 RR)
% 0.18/0.64 % Number of literals : 88 ( 0 equ; 50 neg)
% 0.18/0.64 % Maximal clause size : 5 ( 2 avg)
% 0.18/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.18/0.64 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.18/0.64 % Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% 0.18/0.64 % Number of variables : 73 ( 0 sgn)
% 0.18/0.64 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.18/0.64
% 0.18/0.64 % Comments :
% 0.18/0.64 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.18/0.64 %--------------------------------------------------------------------------
% 0.18/0.64 include('Axioms/FLD002-0.ax').
% 0.18/0.64 %--------------------------------------------------------------------------
% 0.18/0.64 cnf(a_is_defined,hypothesis,
% 0.18/0.64 defined(a) ).
% 0.18/0.64
% 0.18/0.64 cnf(b_is_defined,hypothesis,
% 0.18/0.64 defined(b) ).
% 0.18/0.64
% 0.18/0.64 cnf(c_is_defined,hypothesis,
% 0.18/0.64 defined(c) ).
% 0.18/0.64
% 0.18/0.64 cnf(d_is_defined,hypothesis,
% 0.18/0.64 defined(d) ).
% 0.18/0.64
% 0.18/0.64 cnf(u_is_defined,hypothesis,
% 0.18/0.64 defined(u) ).
% 0.18/0.64
% 0.18/0.64 cnf(v_is_defined,hypothesis,
% 0.18/0.64 defined(v) ).
% 0.18/0.64
% 0.18/0.64 cnf(product_7,negated_conjecture,
% 0.18/0.64 product(multiplicative_identity,a,b) ).
% 0.18/0.64
% 0.18/0.64 cnf(product_8,negated_conjecture,
% 0.18/0.64 product(multiplicative_identity,c,d) ).
% 0.18/0.64
% 0.18/0.64 cnf(product_9,negated_conjecture,
% 0.18/0.64 product(a,c,u) ).
% 0.18/0.64
% 0.18/0.64 cnf(product_10,negated_conjecture,
% 0.18/0.64 product(d,b,v) ).
% 0.18/0.64
% 0.18/0.64 cnf(not_product_11,negated_conjecture,
% 0.18/0.64 ~ product(multiplicative_identity,u,v) ).
% 0.18/0.64
% 0.18/0.64 %--------------------------------------------------------------------------
% 0.18/0.64 %-------------------------------------------
% 0.18/0.65 % Proof found
% 0.18/0.65 % SZS status Theorem for theBenchmark
% 0.18/0.65 % SZS output start Proof
% 0.18/0.65 %ClaNum:37(EqnAxiom:0)
% 0.18/0.65 %VarNum:162(SingletonVarNum:73)
% 0.18/0.65 %MaxLitNum:5
% 0.18/0.65 %MaxfuncDepth:1
% 0.18/0.65 %SharedTerms:22
% 0.18/0.65 %goalClause: 9 10 11 12 14
% 0.18/0.65 %singleGoalClaCount:5
% 0.18/0.65 [1]P1(a1)
% 0.18/0.65 [2]P1(a4)
% 0.18/0.65 [3]P1(a2)
% 0.18/0.65 [4]P1(a5)
% 0.18/0.65 [5]P1(a7)
% 0.18/0.65 [6]P1(a8)
% 0.18/0.65 [7]P1(a9)
% 0.18/0.65 [8]P1(a12)
% 0.18/0.65 [9]P2(a4,a2,a5)
% 0.18/0.65 [10]P2(a4,a7,a8)
% 0.18/0.65 [11]P2(a2,a7,a9)
% 0.18/0.65 [12]P2(a8,a5,a12)
% 0.18/0.65 [13]~P4(a1,a1,a4)
% 0.18/0.65 [14]~P2(a4,a9,a12)
% 0.18/0.65 [20]~P1(x201)+P4(a1,x201,x201)
% 0.18/0.65 [21]~P1(x211)+P2(a4,x211,x211)
% 0.18/0.65 [15]~P1(x151)+P1(f6(x151))
% 0.18/0.65 [22]~P1(x221)+P4(f6(x221),x221,a1)
% 0.18/0.65 [29]~P4(x292,x291,x293)+P4(x291,x292,x293)
% 0.18/0.65 [30]~P2(x302,x301,x303)+P2(x301,x302,x303)
% 0.18/0.65 [23]~P1(x231)+P4(a1,x231,a1)+P1(f11(x231))
% 0.18/0.65 [27]~P1(x271)+P2(f11(x271),x271,a4)+P4(a1,x271,a1)
% 0.18/0.65 [26]~P3(x262,x261)+~P3(x261,x262)+P4(a1,x261,x262)
% 0.18/0.65 [17]~P1(x172)+~P1(x171)+P1(f3(x171,x172))
% 0.18/0.65 [18]~P1(x182)+~P1(x181)+P1(f10(x181,x182))
% 0.18/0.65 [24]~P1(x242)+~P1(x241)+P4(x241,x242,f3(x241,x242))
% 0.18/0.65 [25]~P1(x252)+~P1(x251)+P2(x251,x252,f10(x251,x252))
% 0.18/0.65 [19]~P3(x191,x193)+P3(x191,x192)+~P3(x193,x192)
% 0.18/0.65 [16]P3(x162,x161)+~P1(x161)+~P1(x162)+P3(x161,x162)
% 0.18/0.65 [28]~P2(x283,x282,x281)+P3(a1,x281)+~P3(a1,x282)+~P3(a1,x283)
% 0.18/0.65 [31]~P4(x313,x315,x311)+P3(x311,x312)+~P4(x314,x315,x312)+~P3(x313,x314)
% 0.18/0.65 [32]~P4(x321,x326,x324)+P4(x321,x322,x323)+~P4(x324,x325,x323)+~P4(x326,x325,x322)
% 0.18/0.65 [33]~P4(x336,x334,x331)+P4(x331,x332,x333)+~P4(x334,x332,x335)+~P4(x336,x335,x333)
% 0.18/0.65 [34]~P2(x341,x346,x344)+P2(x341,x342,x343)+~P2(x344,x345,x343)+~P2(x346,x345,x342)
% 0.18/0.65 [35]~P2(x356,x354,x351)+P2(x351,x352,x353)+~P2(x354,x352,x355)+~P2(x356,x355,x353)
% 0.18/0.65 [36]~P2(x365,x367,x362)+~P2(x364,x367,x361)+P4(x361,x362,x363)+~P4(x364,x365,x366)+~P2(x366,x367,x363)
% 0.18/0.65 [37]~P2(x377,x372,x375)+~P2(x376,x372,x374)+P2(x371,x372,x373)+~P4(x374,x375,x373)+~P4(x376,x377,x371)
% 0.18/0.65 %EqnAxiom
% 0.18/0.65
% 0.18/0.65 %-------------------------------------------
% 0.18/0.65 cnf(38,plain,
% 0.18/0.65 (~P2(a9,a4,a12)),
% 0.18/0.65 inference(scs_inference,[],[14,30])).
% 0.18/0.65 cnf(39,plain,
% 0.18/0.65 (~P2(a5,a7,a12)),
% 0.18/0.65 inference(scs_inference,[],[9,11,14,30,34])).
% 0.18/0.65 cnf(45,plain,
% 0.18/0.65 (P4(f6(a1),a1,a1)),
% 0.18/0.65 inference(scs_inference,[],[9,11,14,1,30,34,16,21,20,22])).
% 0.18/0.65 cnf(49,plain,
% 0.18/0.65 (P2(a1,a1,f10(a1,a1))),
% 0.18/0.65 inference(scs_inference,[],[9,11,14,1,30,34,16,21,20,22,15,25])).
% 0.18/0.65 cnf(51,plain,
% 0.18/0.65 (P4(a1,a1,f3(a1,a1))),
% 0.18/0.65 inference(scs_inference,[],[9,11,14,1,30,34,16,21,20,22,15,25,24])).
% 0.18/0.65 cnf(61,plain,
% 0.18/0.65 (~P4(f3(a1,a1),a1,a4)),
% 0.18/0.65 inference(scs_inference,[],[9,10,11,14,1,13,30,34,16,21,20,22,15,25,24,18,17,35,33,32])).
% 0.18/0.65 cnf(67,plain,
% 0.18/0.65 (P4(f10(a1,a1),f10(a1,a1),f10(a1,a1))),
% 0.18/0.65 inference(scs_inference,[],[9,10,11,14,1,13,30,34,16,21,20,22,15,25,24,18,17,35,33,32,31,28,36])).
% 0.18/0.65 cnf(71,plain,
% 0.18/0.65 (P4(a1,f3(a1,a1),f3(a1,a1))),
% 0.18/0.65 inference(scs_inference,[],[9,10,11,14,1,13,30,34,16,21,20,22,15,25,24,18,17,35,33,32,31,28,36,29,26])).
% 0.18/0.65 cnf(81,plain,
% 0.18/0.65 (P2(a2,a4,a5)),
% 0.18/0.65 inference(scs_inference,[],[9,3,25,30])).
% 0.18/0.65 cnf(83,plain,
% 0.18/0.65 (P4(f3(a1,a1),a1,f3(a1,a1))),
% 0.18/0.65 inference(scs_inference,[],[9,3,71,25,30,29])).
% 0.18/0.65 cnf(91,plain,
% 0.18/0.65 (~P2(a7,a5,a9)),
% 0.18/0.65 inference(scs_inference,[],[9,12,3,10,14,71,25,30,29,24,18,17,34])).
% 0.18/0.65 cnf(113,plain,
% 0.18/0.65 (~P2(a8,a2,a9)),
% 0.18/0.65 inference(scs_inference,[],[38,12,81,49,51,67,37,35])).
% 0.18/0.65 cnf(115,plain,
% 0.18/0.65 (~P4(a1,f3(a1,a1),a4)),
% 0.18/0.65 inference(scs_inference,[],[38,12,81,61,49,51,67,37,35,29])).
% 0.18/0.65 cnf(117,plain,
% 0.18/0.65 (~P2(a5,a7,a9)),
% 0.18/0.65 inference(scs_inference,[],[38,12,81,61,91,49,51,67,37,35,29,30])).
% 0.18/0.65 cnf(119,plain,
% 0.18/0.65 (P3(a5,a5)),
% 0.18/0.65 inference(scs_inference,[],[4,38,12,81,61,91,49,51,67,37,35,29,30,16])).
% 0.18/0.65 cnf(121,plain,
% 0.18/0.65 (P4(f3(a1,a1),f3(a1,a1),f3(a1,a1))),
% 0.18/0.65 inference(scs_inference,[],[4,38,12,83,81,61,91,49,51,67,37,35,29,30,16,32])).
% 0.18/0.65 cnf(137,plain,
% 0.18/0.65 (P4(a1,f6(a1),a1)),
% 0.18/0.65 inference(scs_inference,[],[45,29])).
% 0.18/0.65 cnf(139,plain,
% 0.18/0.65 (P4(a1,a5,a5)),
% 0.18/0.65 inference(scs_inference,[],[119,45,29,26])).
% 0.18/0.65 cnf(143,plain,
% 0.18/0.65 (~P2(a2,a8,a9)),
% 0.18/0.65 inference(scs_inference,[],[10,121,115,119,117,81,71,45,29,26,32,35])).
% 0.18/0.65 cnf(145,plain,
% 0.18/0.65 (P2(a7,a4,a8)),
% 0.18/0.65 inference(scs_inference,[],[10,121,115,119,117,81,71,45,29,26,32,35,30])).
% 0.18/0.65 cnf(165,plain,
% 0.18/0.65 (P2(a4,a7,a7)),
% 0.18/0.65 inference(scs_inference,[],[11,5,39,38,137,143,145,61,83,32,35,29,30,34,21])).
% 0.18/0.65 cnf(193,plain,
% 0.18/0.65 ($false),
% 0.18/0.65 inference(scs_inference,[],[11,6,7,139,113,165,137,145,51,10,25,33,29,30,35,34,21]),
% 0.18/0.65 ['proof']).
% 0.18/0.65 % SZS output end Proof
% 0.18/0.65 % Total time :0.040000s
%------------------------------------------------------------------------------