TSTP Solution File: FLD037-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD037-3 : 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 : n015.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 22:26:41 EDT 2023
% Result : Unsatisfiable 0.20s 0.67s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD037-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 23:30:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % File :CSE---1.6
% 0.20/0.66 % Problem :theBenchmark
% 0.20/0.66 % Transform :cnf
% 0.20/0.66 % Format :tptp:raw
% 0.20/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.66
% 0.20/0.66 % Result :Theorem 0.030000s
% 0.20/0.66 % Output :CNFRefutation 0.030000s
% 0.20/0.66 %-------------------------------------------
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 % File : FLD037-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.20/0.67 % Domain : Field Theory (Ordered fields)
% 0.20/0.67 % Problem : Side change of a term in an equation by multiplication, part 1
% 0.20/0.67 % Version : [Dra93] axioms : Especial.
% 0.20/0.67 % Theorem formulation : Functional with re axiom set.
% 0.20/0.67 % English :
% 0.20/0.67
% 0.20/0.67 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.20/0.67 % Source : [Dra93]
% 0.20/0.67 % Names :
% 0.20/0.67
% 0.20/0.67 % Status : Unsatisfiable
% 0.20/0.67 % 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
% 0.20/0.67 % Syntax : Number of clauses : 31 ( 8 unt; 3 nHn; 31 RR)
% 0.20/0.67 % Number of literals : 82 ( 0 equ; 51 neg)
% 0.20/0.67 % Maximal clause size : 5 ( 2 avg)
% 0.20/0.67 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.67 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.20/0.67 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.20/0.67 % Number of variables : 73 ( 0 sgn)
% 0.20/0.67 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.67
% 0.20/0.67 % Comments :
% 0.20/0.67 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 include('Axioms/FLD002-0.ax').
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 cnf(a_is_defined,hypothesis,
% 0.20/0.67 defined(a) ).
% 0.20/0.67
% 0.20/0.67 cnf(b_is_defined,hypothesis,
% 0.20/0.67 defined(b) ).
% 0.20/0.67
% 0.20/0.67 cnf(not_sum_3,negated_conjecture,
% 0.20/0.67 ~ sum(additive_identity,a,additive_identity) ).
% 0.20/0.67
% 0.20/0.67 cnf(product_4,negated_conjecture,
% 0.20/0.67 product(multiplicative_identity,a,b) ).
% 0.20/0.67
% 0.20/0.67 cnf(not_product_5,negated_conjecture,
% 0.20/0.67 ~ product(b,multiplicative_inverse(a),multiplicative_identity) ).
% 0.20/0.67
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % Proof found
% 0.20/0.67 % SZS status Theorem for theBenchmark
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 %ClaNum:31(EqnAxiom:0)
% 0.20/0.67 %VarNum:162(SingletonVarNum:73)
% 0.20/0.67 %MaxLitNum:5
% 0.20/0.67 %MaxfuncDepth:1
% 0.20/0.67 %SharedTerms:13
% 0.20/0.67 %goalClause: 5 7 8
% 0.20/0.67 %singleGoalClaCount:3
% 0.20/0.67 [1]P1(a1)
% 0.20/0.67 [2]P1(a4)
% 0.20/0.67 [3]P1(a2)
% 0.20/0.67 [4]P1(a5)
% 0.20/0.67 [5]P2(a4,a2,a5)
% 0.20/0.67 [6]~P4(a1,a1,a4)
% 0.20/0.67 [7]~P4(a1,a2,a1)
% 0.20/0.67 [8]~P2(a5,f7(a2),a4)
% 0.20/0.67 [14]~P1(x141)+P4(a1,x141,x141)
% 0.20/0.67 [15]~P1(x151)+P2(a4,x151,x151)
% 0.20/0.67 [9]~P1(x91)+P1(f6(x91))
% 0.20/0.67 [16]~P1(x161)+P4(f6(x161),x161,a1)
% 0.20/0.67 [23]~P4(x232,x231,x233)+P4(x231,x232,x233)
% 0.20/0.67 [24]~P2(x242,x241,x243)+P2(x241,x242,x243)
% 0.20/0.67 [17]~P1(x171)+P4(a1,x171,a1)+P1(f7(x171))
% 0.20/0.67 [21]~P1(x211)+P2(f7(x211),x211,a4)+P4(a1,x211,a1)
% 0.20/0.67 [20]~P3(x202,x201)+~P3(x201,x202)+P4(a1,x201,x202)
% 0.20/0.67 [11]~P1(x112)+~P1(x111)+P1(f3(x111,x112))
% 0.20/0.67 [12]~P1(x122)+~P1(x121)+P1(f8(x121,x122))
% 0.20/0.67 [18]~P1(x182)+~P1(x181)+P4(x181,x182,f3(x181,x182))
% 0.20/0.67 [19]~P1(x192)+~P1(x191)+P2(x191,x192,f8(x191,x192))
% 0.20/0.67 [13]~P3(x131,x133)+P3(x131,x132)+~P3(x133,x132)
% 0.20/0.67 [10]P3(x102,x101)+~P1(x101)+~P1(x102)+P3(x101,x102)
% 0.20/0.67 [22]~P2(x223,x222,x221)+P3(a1,x221)+~P3(a1,x222)+~P3(a1,x223)
% 0.20/0.67 [25]~P4(x253,x255,x251)+P3(x251,x252)+~P4(x254,x255,x252)+~P3(x253,x254)
% 0.20/0.67 [26]~P4(x261,x266,x264)+P4(x261,x262,x263)+~P4(x264,x265,x263)+~P4(x266,x265,x262)
% 0.20/0.67 [27]~P4(x276,x274,x271)+P4(x271,x272,x273)+~P4(x274,x272,x275)+~P4(x276,x275,x273)
% 0.20/0.67 [28]~P2(x281,x286,x284)+P2(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x285,x282)
% 0.20/0.67 [29]~P2(x296,x294,x291)+P2(x291,x292,x293)+~P2(x294,x292,x295)+~P2(x296,x295,x293)
% 0.20/0.67 [30]~P2(x305,x307,x302)+~P2(x304,x307,x301)+P4(x301,x302,x303)+~P4(x304,x305,x306)+~P2(x306,x307,x303)
% 0.20/0.67 [31]~P2(x317,x312,x315)+~P2(x316,x312,x314)+P2(x311,x312,x313)+~P4(x314,x315,x313)+~P4(x316,x317,x311)
% 0.20/0.67 %EqnAxiom
% 0.20/0.67
% 0.20/0.67 %-------------------------------------------
% 0.20/0.68 cnf(32,plain,
% 0.20/0.68 (~P2(f7(a2),a5,a4)),
% 0.20/0.68 inference(scs_inference,[],[8,24])).
% 0.20/0.68 cnf(33,plain,
% 0.20/0.68 (~P4(a2,a1,a1)),
% 0.20/0.68 inference(scs_inference,[],[7,8,24,23])).
% 0.20/0.68 cnf(35,plain,
% 0.20/0.68 (P2(a4,a1,a1)),
% 0.20/0.68 inference(scs_inference,[],[7,1,8,24,23,10,15])).
% 0.20/0.68 cnf(39,plain,
% 0.20/0.68 (P4(f6(a1),a1,a1)),
% 0.20/0.68 inference(scs_inference,[],[7,1,8,24,23,10,15,14,16])).
% 0.20/0.68 cnf(43,plain,
% 0.20/0.68 (P2(f7(a2),a2,a4)),
% 0.20/0.68 inference(scs_inference,[],[7,1,3,8,24,23,10,15,14,16,9,21])).
% 0.20/0.68 cnf(49,plain,
% 0.20/0.68 (P1(f7(a2))),
% 0.20/0.68 inference(scs_inference,[],[7,1,3,8,24,23,10,15,14,16,9,21,19,18,17])).
% 0.20/0.68 cnf(57,plain,
% 0.20/0.68 (P2(a4,f8(a1,a1),f8(a1,a1))),
% 0.20/0.68 inference(scs_inference,[],[5,7,1,3,8,24,23,10,15,14,16,9,21,19,18,17,12,11,29,28])).
% 0.20/0.68 cnf(65,plain,
% 0.20/0.68 (P4(f8(a1,a1),f8(a1,a1),f8(a1,a1))),
% 0.20/0.68 inference(scs_inference,[],[5,7,1,3,8,24,23,10,15,14,16,9,21,19,18,17,12,11,29,28,26,25,22,30])).
% 0.20/0.68 cnf(67,plain,
% 0.20/0.68 (P4(a1,f3(a1,a1),f3(a1,a1))),
% 0.20/0.68 inference(scs_inference,[],[5,7,1,3,8,24,23,10,15,14,16,9,21,19,18,17,12,11,29,28,26,25,22,30,20])).
% 0.20/0.68 cnf(69,plain,
% 0.20/0.68 (~P4(a5,a5,x691)+~P4(a4,a4,x692)+P2(x692,a2,x691)),
% 0.20/0.68 inference(scs_inference,[],[5,7,1,3,8,24,23,10,15,14,16,9,21,19,18,17,12,11,29,28,26,25,22,30,20,31])).
% 0.20/0.68 cnf(78,plain,
% 0.20/0.68 (~P2(f7(a2),a4,f7(a2))),
% 0.20/0.68 inference(scs_inference,[],[5,2,32,39,43,33,27,19,18,28])).
% 0.20/0.68 cnf(96,plain,
% 0.20/0.68 (~P4(a2,f6(a1),f6(a1))),
% 0.20/0.68 inference(scs_inference,[],[5,2,6,65,67,57,32,39,43,33,35,27,19,18,28,31,23,24,12,11,30,69,29,26])).
% 0.20/0.68 cnf(110,plain,
% 0.20/0.68 (~P2(a4,f7(a2),f7(a2))),
% 0.20/0.68 inference(scs_inference,[],[78,96,23,24])).
% 0.20/0.68 cnf(155,plain,
% 0.20/0.68 ($false),
% 0.20/0.68 inference(scs_inference,[],[110,49,15]),
% 0.20/0.68 ['proof']).
% 0.20/0.68 % SZS output end Proof
% 0.20/0.68 % Total time :0.030000s
%------------------------------------------------------------------------------