TSTP Solution File: FLD028-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD028-3 : 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 : n013.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 22:26:36 EDT 2023
% Result : Unsatisfiable 0.18s 0.66s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD028-3 : 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
% 0.12/0.33 % Computer : n013.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 : Sun Aug 27 23:36:32 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.58 start to proof:theBenchmark
% 0.18/0.65 %-------------------------------------------
% 0.18/0.65 % File :CSE---1.6
% 0.18/0.65 % Problem :theBenchmark
% 0.18/0.65 % Transform :cnf
% 0.18/0.65 % Format :tptp:raw
% 0.18/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.65
% 0.18/0.65 % Result :Theorem 0.020000s
% 0.18/0.65 % Output :CNFRefutation 0.020000s
% 0.18/0.65 %-------------------------------------------
% 0.18/0.65 %--------------------------------------------------------------------------
% 0.18/0.65 % File : FLD028-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.18/0.65 % Domain : Field Theory (Ordered fields)
% 0.18/0.65 % Problem : The solution of a multiplicative linear equation is unique
% 0.18/0.65 % Version : [Dra93] axioms : Especial.
% 0.18/0.65 % Theorem formulation : Functional with re axiom set.
% 0.18/0.65 % English :
% 0.18/0.65
% 0.18/0.65 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.18/0.65 % Source : [Dra93]
% 0.18/0.65 % Names :
% 0.18/0.65
% 0.18/0.65 % Status : Unsatisfiable
% 0.18/0.65 % Rating : 0.14 v8.1.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.25 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.14 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, 0.20 v2.4.0, 0.40 v2.3.0, 0.33 v2.2.1, 0.67 v2.1.0
% 0.18/0.65 % Syntax : Number of clauses : 34 ( 11 unt; 3 nHn; 34 RR)
% 0.18/0.65 % Number of literals : 85 ( 0 equ; 51 neg)
% 0.18/0.65 % Maximal clause size : 5 ( 2 avg)
% 0.18/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.18/0.66 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.18/0.66 % Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% 0.18/0.66 % Number of variables : 73 ( 0 sgn)
% 0.18/0.66 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.18/0.66
% 0.18/0.66 % Comments :
% 0.18/0.66 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.18/0.66 %--------------------------------------------------------------------------
% 0.18/0.66 include('Axioms/FLD002-0.ax').
% 0.18/0.66 %--------------------------------------------------------------------------
% 0.18/0.66 cnf(a_is_defined,hypothesis,
% 0.18/0.66 defined(a) ).
% 0.18/0.66
% 0.18/0.66 cnf(b_is_defined,hypothesis,
% 0.18/0.66 defined(b) ).
% 0.18/0.66
% 0.18/0.66 cnf(u_is_defined,hypothesis,
% 0.18/0.66 defined(u) ).
% 0.18/0.66
% 0.18/0.66 cnf(v_is_defined,hypothesis,
% 0.18/0.66 defined(v) ).
% 0.18/0.66
% 0.18/0.66 cnf(not_sum_5,negated_conjecture,
% 0.18/0.66 ~ sum(additive_identity,a,additive_identity) ).
% 0.18/0.66
% 0.18/0.66 cnf(product_6,negated_conjecture,
% 0.18/0.66 product(a,u,b) ).
% 0.18/0.66
% 0.18/0.66 cnf(product_7,negated_conjecture,
% 0.18/0.66 product(a,v,b) ).
% 0.18/0.66
% 0.18/0.66 cnf(not_product_8,negated_conjecture,
% 0.18/0.66 ~ product(multiplicative_identity,u,v) ).
% 0.18/0.66
% 0.18/0.66 %--------------------------------------------------------------------------
% 0.18/0.66 %-------------------------------------------
% 0.18/0.66 % Proof found
% 0.18/0.66 % SZS status Theorem for theBenchmark
% 0.18/0.66 % SZS output start Proof
% 0.18/0.66 %ClaNum:34(EqnAxiom:0)
% 0.18/0.66 %VarNum:162(SingletonVarNum:73)
% 0.18/0.66 %MaxLitNum:5
% 0.18/0.66 %MaxfuncDepth:1
% 0.18/0.66 %SharedTerms:17
% 0.18/0.66 %goalClause: 7 8 10 11
% 0.18/0.66 %singleGoalClaCount:4
% 0.18/0.66 [1]P1(a1)
% 0.18/0.66 [2]P1(a4)
% 0.18/0.66 [3]P1(a2)
% 0.18/0.66 [4]P1(a5)
% 0.18/0.66 [5]P1(a7)
% 0.18/0.66 [6]P1(a10)
% 0.18/0.66 [7]P2(a2,a7,a5)
% 0.18/0.66 [8]P2(a2,a10,a5)
% 0.18/0.66 [9]~P4(a1,a1,a4)
% 0.18/0.66 [10]~P4(a1,a2,a1)
% 0.18/0.66 [11]~P2(a4,a7,a10)
% 0.18/0.66 [17]~P1(x171)+P4(a1,x171,x171)
% 0.18/0.66 [18]~P1(x181)+P2(a4,x181,x181)
% 0.18/0.66 [12]~P1(x121)+P1(f6(x121))
% 0.18/0.66 [19]~P1(x191)+P4(f6(x191),x191,a1)
% 0.18/0.66 [26]~P4(x262,x261,x263)+P4(x261,x262,x263)
% 0.18/0.66 [27]~P2(x272,x271,x273)+P2(x271,x272,x273)
% 0.18/0.66 [20]~P1(x201)+P4(a1,x201,a1)+P1(f9(x201))
% 0.18/0.66 [24]~P1(x241)+P2(f9(x241),x241,a4)+P4(a1,x241,a1)
% 0.18/0.66 [23]~P3(x232,x231)+~P3(x231,x232)+P4(a1,x231,x232)
% 0.18/0.66 [14]~P1(x142)+~P1(x141)+P1(f3(x141,x142))
% 0.18/0.66 [15]~P1(x152)+~P1(x151)+P1(f8(x151,x152))
% 0.18/0.66 [21]~P1(x212)+~P1(x211)+P4(x211,x212,f3(x211,x212))
% 0.18/0.66 [22]~P1(x222)+~P1(x221)+P2(x221,x222,f8(x221,x222))
% 0.18/0.66 [16]~P3(x161,x163)+P3(x161,x162)+~P3(x163,x162)
% 0.18/0.66 [13]P3(x132,x131)+~P1(x131)+~P1(x132)+P3(x131,x132)
% 0.18/0.66 [25]~P2(x253,x252,x251)+P3(a1,x251)+~P3(a1,x252)+~P3(a1,x253)
% 0.18/0.66 [28]~P4(x283,x285,x281)+P3(x281,x282)+~P4(x284,x285,x282)+~P3(x283,x284)
% 0.18/0.66 [29]~P4(x291,x296,x294)+P4(x291,x292,x293)+~P4(x294,x295,x293)+~P4(x296,x295,x292)
% 0.18/0.66 [30]~P4(x306,x304,x301)+P4(x301,x302,x303)+~P4(x304,x302,x305)+~P4(x306,x305,x303)
% 0.18/0.66 [31]~P2(x311,x316,x314)+P2(x311,x312,x313)+~P2(x314,x315,x313)+~P2(x316,x315,x312)
% 0.18/0.66 [32]~P2(x326,x324,x321)+P2(x321,x322,x323)+~P2(x324,x322,x325)+~P2(x326,x325,x323)
% 0.18/0.66 [33]~P2(x335,x337,x332)+~P2(x334,x337,x331)+P4(x331,x332,x333)+~P4(x334,x335,x336)+~P2(x336,x337,x333)
% 0.18/0.66 [34]~P2(x347,x342,x345)+~P2(x346,x342,x344)+P2(x341,x342,x343)+~P4(x344,x345,x343)+~P4(x346,x347,x341)
% 0.18/0.66 %EqnAxiom
% 0.18/0.66
% 0.18/0.66 %-------------------------------------------
% 0.18/0.66 cnf(36,plain,
% 0.18/0.66 (~P4(a2,a1,a1)),
% 0.18/0.66 inference(scs_inference,[],[10,11,27,26])).
% 0.18/0.66 cnf(37,plain,
% 0.18/0.66 (P3(a1,a1)),
% 0.18/0.66 inference(scs_inference,[],[10,11,1,27,26,13])).
% 0.18/0.66 cnf(38,plain,
% 0.18/0.66 (P2(a4,a1,a1)),
% 0.18/0.66 inference(scs_inference,[],[10,11,1,27,26,13,18])).
% 0.18/0.66 cnf(40,plain,
% 0.18/0.66 (P4(a1,a1,a1)),
% 0.18/0.66 inference(scs_inference,[],[10,11,1,27,26,13,18,17])).
% 0.18/0.66 cnf(42,plain,
% 0.18/0.66 (P4(f6(a1),a1,a1)),
% 0.18/0.66 inference(scs_inference,[],[10,11,1,27,26,13,18,17,19])).
% 0.18/0.66 cnf(46,plain,
% 0.18/0.66 (P2(f9(a2),a2,a4)),
% 0.18/0.66 inference(scs_inference,[],[10,11,1,3,27,26,13,18,17,19,12,24])).
% 0.18/0.66 cnf(48,plain,
% 0.18/0.66 (P2(a1,a1,f8(a1,a1))),
% 0.18/0.66 inference(scs_inference,[],[10,11,1,3,27,26,13,18,17,19,12,24,22])).
% 0.18/0.66 cnf(50,plain,
% 0.18/0.66 (P4(a1,a1,f3(a1,a1))),
% 0.18/0.66 inference(scs_inference,[],[10,11,1,3,27,26,13,18,17,19,12,24,22,21])).
% 0.18/0.66 cnf(77,plain,
% 0.18/0.66 (P2(a4,a4,f8(a4,a4))),
% 0.18/0.66 inference(scs_inference,[],[2,42,36,30,22])).
% 0.18/0.66 cnf(89,plain,
% 0.18/0.66 (P4(a1,f6(a1),a1)),
% 0.18/0.66 inference(scs_inference,[],[2,40,37,42,48,50,36,30,22,21,14,28,25,33,26])).
% 0.18/0.66 cnf(97,plain,
% 0.18/0.66 (~P2(f9(a2),a5,a10)),
% 0.18/0.66 inference(scs_inference,[],[7,2,11,10,40,37,42,46,48,50,36,30,22,21,14,28,25,33,26,29,27,15,32])).
% 0.18/0.66 cnf(103,plain,
% 0.18/0.66 (P2(a4,f8(a1,a1),f8(a1,a1))),
% 0.18/0.66 inference(scs_inference,[],[7,2,11,10,40,37,42,46,48,50,36,38,30,22,21,14,28,25,33,26,29,27,15,32,34,16,31])).
% 0.18/0.66 cnf(105,plain,
% 0.18/0.66 (P4(a1,f3(a1,a1),f3(a1,a1))),
% 0.18/0.66 inference(scs_inference,[],[7,2,11,10,40,37,42,46,48,50,36,38,30,22,21,14,28,25,33,26,29,27,15,32,34,16,31,23])).
% 0.18/0.66 cnf(123,plain,
% 0.18/0.66 ($false),
% 0.18/0.66 inference(scs_inference,[],[8,6,10,105,103,77,89,97,46,42,31,30,29,27,26,32,18]),
% 0.18/0.66 ['proof']).
% 0.18/0.66 % SZS output end Proof
% 0.18/0.66 % Total time :0.020000s
%------------------------------------------------------------------------------