TSTP Solution File: FLD001-3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD001-3 : 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 : n007.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 22:26:25 EDT 2023
% Result : Unsatisfiable 0.19s 0.66s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD001-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 23:19:42 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 % File :CSE---1.6
% 0.19/0.65 % Problem :theBenchmark
% 0.19/0.65 % Transform :cnf
% 0.19/0.65 % Format :tptp:raw
% 0.19/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.65
% 0.19/0.65 % Result :Theorem 0.040000s
% 0.19/0.65 % Output :CNFRefutation 0.040000s
% 0.19/0.65 %-------------------------------------------
% 0.19/0.66 %--------------------------------------------------------------------------
% 0.19/0.66 % File : FLD001-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.19/0.66 % Domain : Field Theory (Ordered fields)
% 0.19/0.66 % Problem : Transformation additive relation --> multiplicative relation
% 0.19/0.66 % Version : [Dra93] axioms : Especial.
% 0.19/0.66 % Theorem formulation : Functional with re axiom set.
% 0.19/0.66 % English :
% 0.19/0.66
% 0.19/0.66 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.19/0.66 % Source : [Dra93]
% 0.19/0.66 % Names :
% 0.19/0.66
% 0.19/0.66 % Status : Unsatisfiable
% 0.19/0.66 % 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, 0.20 v2.3.0, 0.00 v2.2.1, 0.67 v2.1.0
% 0.19/0.66 % Syntax : Number of clauses : 30 ( 7 unt; 3 nHn; 30 RR)
% 0.19/0.66 % Number of literals : 81 ( 0 equ; 50 neg)
% 0.19/0.66 % Maximal clause size : 5 ( 2 avg)
% 0.19/0.66 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.66 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.19/0.66 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.19/0.66 % Number of variables : 73 ( 0 sgn)
% 0.19/0.66 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.19/0.66
% 0.19/0.66 % Comments :
% 0.19/0.66 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.19/0.66 %--------------------------------------------------------------------------
% 0.19/0.66 include('Axioms/FLD002-0.ax').
% 0.19/0.66 %--------------------------------------------------------------------------
% 0.19/0.66 cnf(a_is_defined,hypothesis,
% 0.19/0.66 defined(a) ).
% 0.19/0.66
% 0.19/0.66 cnf(b_is_defined,hypothesis,
% 0.19/0.66 defined(b) ).
% 0.19/0.66
% 0.19/0.66 cnf(sum_3,hypothesis,
% 0.19/0.66 sum(additive_identity,a,b) ).
% 0.19/0.66
% 0.19/0.66 cnf(not_product_4,negated_conjecture,
% 0.19/0.66 ~ product(multiplicative_identity,a,b) ).
% 0.19/0.66
% 0.19/0.66 %--------------------------------------------------------------------------
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 % Proof found
% 0.19/0.66 % SZS status Theorem for theBenchmark
% 0.19/0.66 % SZS output start Proof
% 0.19/0.66 %ClaNum:30(EqnAxiom:0)
% 0.19/0.66 %VarNum:162(SingletonVarNum:73)
% 0.19/0.66 %MaxLitNum:5
% 0.19/0.66 %MaxfuncDepth:1
% 0.19/0.66 %SharedTerms:11
% 0.19/0.66 %goalClause: 7
% 0.19/0.66 %singleGoalClaCount:1
% 0.19/0.66 [1]P1(a1)
% 0.19/0.66 [2]P1(a4)
% 0.19/0.66 [3]P1(a2)
% 0.19/0.66 [4]P1(a5)
% 0.19/0.66 [5]P2(a1,a2,a5)
% 0.19/0.66 [6]~P2(a1,a1,a4)
% 0.19/0.66 [7]~P3(a4,a2,a5)
% 0.19/0.66 [13]~P1(x131)+P2(a1,x131,x131)
% 0.19/0.66 [14]~P1(x141)+P3(a4,x141,x141)
% 0.19/0.66 [8]~P1(x81)+P1(f6(x81))
% 0.19/0.66 [15]~P1(x151)+P2(f6(x151),x151,a1)
% 0.19/0.66 [22]~P2(x222,x221,x223)+P2(x221,x222,x223)
% 0.19/0.66 [23]~P3(x232,x231,x233)+P3(x231,x232,x233)
% 0.19/0.66 [16]~P1(x161)+P2(a1,x161,a1)+P1(f8(x161))
% 0.19/0.66 [20]~P1(x201)+P3(f8(x201),x201,a4)+P2(a1,x201,a1)
% 0.19/0.66 [19]~P4(x192,x191)+~P4(x191,x192)+P2(a1,x191,x192)
% 0.19/0.66 [10]~P1(x102)+~P1(x101)+P1(f3(x101,x102))
% 0.19/0.66 [11]~P1(x112)+~P1(x111)+P1(f7(x111,x112))
% 0.19/0.66 [17]~P1(x172)+~P1(x171)+P2(x171,x172,f3(x171,x172))
% 0.19/0.66 [18]~P1(x182)+~P1(x181)+P3(x181,x182,f7(x181,x182))
% 0.19/0.66 [12]~P4(x121,x123)+P4(x121,x122)+~P4(x123,x122)
% 0.19/0.66 [9]P4(x92,x91)+~P1(x91)+~P1(x92)+P4(x91,x92)
% 0.19/0.66 [21]~P3(x213,x212,x211)+P4(a1,x211)+~P4(a1,x212)+~P4(a1,x213)
% 0.19/0.66 [24]~P2(x243,x245,x241)+P4(x241,x242)+~P2(x244,x245,x242)+~P4(x243,x244)
% 0.19/0.66 [25]~P2(x251,x256,x254)+P2(x251,x252,x253)+~P2(x254,x255,x253)+~P2(x256,x255,x252)
% 0.19/0.66 [26]~P2(x266,x264,x261)+P2(x261,x262,x263)+~P2(x264,x262,x265)+~P2(x266,x265,x263)
% 0.19/0.66 [27]~P3(x271,x276,x274)+P3(x271,x272,x273)+~P3(x274,x275,x273)+~P3(x276,x275,x272)
% 0.19/0.66 [28]~P3(x286,x284,x281)+P3(x281,x282,x283)+~P3(x284,x282,x285)+~P3(x286,x285,x283)
% 0.19/0.66 [29]~P3(x295,x297,x292)+~P3(x294,x297,x291)+P2(x291,x292,x293)+~P2(x294,x295,x296)+~P3(x296,x297,x293)
% 0.19/0.66 [30]~P3(x307,x302,x305)+~P3(x306,x302,x304)+P3(x301,x302,x303)+~P2(x304,x305,x303)+~P2(x306,x307,x301)
% 0.19/0.66 %EqnAxiom
% 0.19/0.66
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 cnf(31,plain,
% 0.19/0.66 (~P3(a2,a4,a5)),
% 0.19/0.66 inference(scs_inference,[],[7,23])).
% 0.19/0.66 cnf(32,plain,
% 0.19/0.66 (P4(a1,a1)),
% 0.19/0.66 inference(scs_inference,[],[7,1,23,9])).
% 0.19/0.66 cnf(33,plain,
% 0.19/0.66 (P2(a2,a1,a5)),
% 0.19/0.66 inference(scs_inference,[],[7,1,5,23,9,22])).
% 0.19/0.66 cnf(35,plain,
% 0.19/0.66 (P3(a4,a1,a1)),
% 0.19/0.66 inference(scs_inference,[],[7,1,5,23,9,22,14])).
% 0.19/0.66 cnf(37,plain,
% 0.19/0.66 (P2(a1,a1,a1)),
% 0.19/0.66 inference(scs_inference,[],[7,1,5,23,9,22,14,13])).
% 0.19/0.66 cnf(39,plain,
% 0.19/0.66 (P2(f6(a1),a1,a1)),
% 0.19/0.66 inference(scs_inference,[],[7,1,5,23,9,22,14,13,15])).
% 0.19/0.66 cnf(43,plain,
% 0.19/0.66 (P3(a1,a1,f7(a1,a1))),
% 0.19/0.66 inference(scs_inference,[],[7,1,5,23,9,22,14,13,15,8,18])).
% 0.19/0.66 cnf(45,plain,
% 0.19/0.66 (P2(a1,a1,f3(a1,a1))),
% 0.19/0.66 inference(scs_inference,[],[7,1,5,23,9,22,14,13,15,8,18,17])).
% 0.19/0.67 cnf(73,plain,
% 0.19/0.67 (P3(a1,a4,a1)),
% 0.19/0.67 inference(scs_inference,[],[35,23])).
% 0.19/0.67 cnf(89,plain,
% 0.19/0.67 (P3(f7(a1,a1),a4,f7(a1,a1))),
% 0.19/0.67 inference(scs_inference,[],[3,5,32,43,35,23,17,11,10,18,24,21,12,28])).
% 0.19/0.67 cnf(91,plain,
% 0.19/0.67 (~P2(a1,f3(a1,a1),a4)),
% 0.19/0.67 inference(scs_inference,[],[3,6,5,37,32,43,45,35,23,17,11,10,18,24,21,12,28,26])).
% 0.19/0.67 cnf(106,plain,
% 0.19/0.67 (P3(f3(a1,a1),a4,f3(a1,a1))),
% 0.19/0.67 inference(scs_inference,[],[73,45,30])).
% 0.19/0.67 cnf(108,plain,
% 0.19/0.67 (P2(a5,a1,a5)),
% 0.19/0.67 inference(scs_inference,[],[33,73,45,37,30,26])).
% 0.19/0.67 cnf(110,plain,
% 0.19/0.67 (P2(f6(a1),a5,a5)),
% 0.19/0.67 inference(scs_inference,[],[5,39,33,73,45,37,30,26,25])).
% 0.19/0.67 cnf(112,plain,
% 0.19/0.67 (P2(f7(a1,a1),f7(a1,a1),f7(a1,a1))),
% 0.19/0.67 inference(scs_inference,[],[5,39,33,73,45,37,43,30,26,25,29])).
% 0.19/0.67 cnf(114,plain,
% 0.19/0.67 (P2(a1,f6(a1),a1)),
% 0.19/0.67 inference(scs_inference,[],[5,39,33,73,45,37,43,30,26,25,29,22])).
% 0.19/0.67 cnf(116,plain,
% 0.19/0.67 (P4(a4,a4)),
% 0.19/0.67 inference(scs_inference,[],[2,5,39,33,73,45,37,43,30,26,25,29,22,9])).
% 0.19/0.67 cnf(118,plain,
% 0.19/0.67 (P3(a4,f7(a1,a1),f7(a1,a1))),
% 0.19/0.67 inference(scs_inference,[],[2,5,89,39,33,73,45,37,43,30,26,25,29,22,9,23])).
% 0.19/0.67 cnf(130,plain,
% 0.19/0.67 (P3(f3(a1,a1),a1,f7(a1,a1))),
% 0.19/0.67 inference(scs_inference,[],[112,45,43,30])).
% 0.19/0.67 cnf(140,plain,
% 0.19/0.67 (~P2(f6(a1),f3(a1,a1),a4)),
% 0.19/0.67 inference(scs_inference,[],[31,6,112,106,116,91,114,45,73,43,30,19,29,22,28,26])).
% 0.19/0.67 cnf(164,plain,
% 0.19/0.67 (P2(a1,a2,a2)),
% 0.19/0.67 inference(scs_inference,[],[2,32,3,108,130,110,45,23,25,24,22,14,8,15,13])).
% 0.19/0.67 cnf(168,plain,
% 0.19/0.67 (P2(a1,f3(a1,a1),f3(a1,a1))),
% 0.19/0.67 inference(scs_inference,[],[2,32,3,118,108,130,110,112,45,23,25,24,22,14,8,15,13,30,19])).
% 0.19/0.67 cnf(195,plain,
% 0.19/0.67 ($false),
% 0.19/0.67 inference(scs_inference,[],[2,31,32,3,5,168,140,164,114,39,73,45,30,23,25,26,22,24,17,10,14]),
% 0.19/0.67 ['proof']).
% 0.19/0.67 % SZS output end Proof
% 0.19/0.67 % Total time :0.040000s
%------------------------------------------------------------------------------