TSTP Solution File: FLD015-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD015-3 : 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 : n011.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 22:26:31 EDT 2023
% Result : Unsatisfiable 0.19s 0.70s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD015-3 : 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 : n011.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 23:34:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.19/0.70 %-------------------------------------------
% 0.19/0.70 % File :CSE---1.6
% 0.19/0.70 % Problem :theBenchmark
% 0.19/0.70 % Transform :cnf
% 0.19/0.70 % Format :tptp:raw
% 0.19/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.70
% 0.19/0.70 % Result :Theorem 0.070000s
% 0.19/0.70 % Output :CNFRefutation 0.070000s
% 0.19/0.70 %-------------------------------------------
% 0.19/0.70 %--------------------------------------------------------------------------
% 0.19/0.70 % File : FLD015-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.19/0.70 % Domain : Field Theory (Ordered fields)
% 0.19/0.70 % Problem : Compatibility of additive inverses with the equality, part 2
% 0.19/0.70 % Version : [Dra93] axioms : Especial.
% 0.19/0.70 % Theorem formulation : Functional with re axiom set.
% 0.19/0.70 % English :
% 0.19/0.70
% 0.19/0.70 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.19/0.70 % Source : [Dra93]
% 0.19/0.70 % Names :
% 0.19/0.70
% 0.19/0.70 % Status : Unsatisfiable
% 0.19/0.70 % Rating : 0.00 v7.0.0, 0.12 v6.3.0, 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
% 0.19/0.70 % Syntax : Number of clauses : 30 ( 7 unt; 3 nHn; 30 RR)
% 0.19/0.70 % Number of literals : 81 ( 0 equ; 50 neg)
% 0.19/0.70 % Maximal clause size : 5 ( 2 avg)
% 0.19/0.70 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.70 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.19/0.70 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.19/0.70 % Number of variables : 73 ( 0 sgn)
% 0.19/0.70 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.19/0.70
% 0.19/0.70 % Comments :
% 0.19/0.70 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.19/0.70 %--------------------------------------------------------------------------
% 0.19/0.70 include('Axioms/FLD002-0.ax').
% 0.19/0.70 %--------------------------------------------------------------------------
% 0.19/0.70 cnf(a_is_defined,hypothesis,
% 0.19/0.70 defined(a) ).
% 0.19/0.70
% 0.19/0.70 cnf(b_is_defined,hypothesis,
% 0.19/0.70 defined(b) ).
% 0.19/0.70
% 0.19/0.70 cnf(sum_3,negated_conjecture,
% 0.19/0.70 sum(additive_identity,additive_inverse(a),additive_inverse(b)) ).
% 0.19/0.70
% 0.19/0.70 cnf(not_sum_4,negated_conjecture,
% 0.19/0.70 ~ sum(additive_identity,a,b) ).
% 0.19/0.70
% 0.19/0.70 %--------------------------------------------------------------------------
% 0.19/0.70 %-------------------------------------------
% 0.19/0.70 % Proof found
% 0.19/0.70 % SZS status Theorem for theBenchmark
% 0.19/0.70 % SZS output start Proof
% 0.19/0.70 %ClaNum:30(EqnAxiom:0)
% 0.19/0.70 %VarNum:162(SingletonVarNum:73)
% 0.19/0.70 %MaxLitNum:5
% 0.19/0.70 %MaxfuncDepth:1
% 0.19/0.70 %SharedTerms:13
% 0.19/0.70 %goalClause: 5 7
% 0.19/0.70 %singleGoalClaCount:2
% 0.19/0.70 [1]P1(a1)
% 0.19/0.70 [2]P1(a4)
% 0.19/0.70 [3]P1(a2)
% 0.19/0.70 [4]P1(a5)
% 0.19/0.70 [6]~P2(a1,a1,a4)
% 0.19/0.70 [7]~P2(a1,a2,a5)
% 0.19/0.70 [5]P2(a1,f6(a2),f6(a5))
% 0.19/0.70 [13]~P1(x131)+P2(a1,x131,x131)
% 0.19/0.70 [14]~P1(x141)+P4(a4,x141,x141)
% 0.19/0.70 [8]~P1(x81)+P1(f6(x81))
% 0.19/0.70 [15]~P1(x151)+P2(f6(x151),x151,a1)
% 0.19/0.70 [22]~P2(x222,x221,x223)+P2(x221,x222,x223)
% 0.19/0.70 [23]~P4(x232,x231,x233)+P4(x231,x232,x233)
% 0.19/0.70 [16]~P1(x161)+P2(a1,x161,a1)+P1(f8(x161))
% 0.19/0.70 [20]~P1(x201)+P4(f8(x201),x201,a4)+P2(a1,x201,a1)
% 0.19/0.70 [19]~P3(x192,x191)+~P3(x191,x192)+P2(a1,x191,x192)
% 0.19/0.70 [10]~P1(x102)+~P1(x101)+P1(f3(x101,x102))
% 0.19/0.70 [11]~P1(x112)+~P1(x111)+P1(f7(x111,x112))
% 0.19/0.70 [17]~P1(x172)+~P1(x171)+P2(x171,x172,f3(x171,x172))
% 0.19/0.70 [18]~P1(x182)+~P1(x181)+P4(x181,x182,f7(x181,x182))
% 0.19/0.70 [12]~P3(x121,x123)+P3(x121,x122)+~P3(x123,x122)
% 0.19/0.70 [9]P3(x92,x91)+~P1(x91)+~P1(x92)+P3(x91,x92)
% 0.19/0.70 [21]~P4(x213,x212,x211)+P3(a1,x211)+~P3(a1,x212)+~P3(a1,x213)
% 0.19/0.70 [24]~P2(x243,x245,x241)+P3(x241,x242)+~P2(x244,x245,x242)+~P3(x243,x244)
% 0.19/0.70 [25]~P2(x251,x256,x254)+P2(x251,x252,x253)+~P2(x254,x255,x253)+~P2(x256,x255,x252)
% 0.19/0.70 [26]~P2(x266,x264,x261)+P2(x261,x262,x263)+~P2(x264,x262,x265)+~P2(x266,x265,x263)
% 0.19/0.70 [27]~P4(x271,x276,x274)+P4(x271,x272,x273)+~P4(x274,x275,x273)+~P4(x276,x275,x272)
% 0.19/0.70 [28]~P4(x286,x284,x281)+P4(x281,x282,x283)+~P4(x284,x282,x285)+~P4(x286,x285,x283)
% 0.19/0.70 [29]~P4(x295,x297,x292)+~P4(x294,x297,x291)+P2(x291,x292,x293)+~P2(x294,x295,x296)+~P4(x296,x297,x293)
% 0.19/0.70 [30]~P4(x307,x302,x305)+~P4(x306,x302,x304)+P4(x301,x302,x303)+~P2(x304,x305,x303)+~P2(x306,x307,x301)
% 0.19/0.70 %EqnAxiom
% 0.19/0.70
% 0.19/0.70 %-------------------------------------------
% 0.19/0.71 cnf(31,plain,
% 0.19/0.71 (~P2(a2,a1,a5)),
% 0.19/0.71 inference(scs_inference,[],[7,22])).
% 0.19/0.71 cnf(32,plain,
% 0.19/0.71 (P3(a1,a1)),
% 0.19/0.71 inference(scs_inference,[],[7,1,22,9])).
% 0.19/0.71 cnf(33,plain,
% 0.19/0.71 (P4(a4,a1,a1)),
% 0.19/0.71 inference(scs_inference,[],[7,1,22,9,14])).
% 0.19/0.71 cnf(35,plain,
% 0.19/0.71 (P2(a1,a1,a1)),
% 0.19/0.71 inference(scs_inference,[],[7,1,22,9,14,13])).
% 0.19/0.71 cnf(37,plain,
% 0.19/0.71 (P2(f6(a1),a1,a1)),
% 0.19/0.71 inference(scs_inference,[],[7,1,22,9,14,13,15])).
% 0.19/0.71 cnf(41,plain,
% 0.19/0.71 (P4(a1,a1,f7(a1,a1))),
% 0.19/0.71 inference(scs_inference,[],[7,1,22,9,14,13,15,8,18])).
% 0.19/0.71 cnf(43,plain,
% 0.19/0.71 (P2(a1,a1,f3(a1,a1))),
% 0.19/0.71 inference(scs_inference,[],[7,1,22,9,14,13,15,8,18,17])).
% 0.19/0.71 cnf(51,plain,
% 0.19/0.71 (P4(a4,f7(a1,a1),f7(a1,a1))),
% 0.19/0.71 inference(scs_inference,[],[7,1,22,9,14,13,15,8,18,17,11,10,28,27])).
% 0.19/0.71 cnf(53,plain,
% 0.19/0.71 (P2(f6(a1),f6(a5),f6(a5))),
% 0.19/0.71 inference(scs_inference,[],[5,7,1,22,9,14,13,15,8,18,17,11,10,28,27,25])).
% 0.19/0.71 cnf(57,plain,
% 0.19/0.71 (P3(a1,f7(a1,a1))),
% 0.19/0.71 inference(scs_inference,[],[5,7,1,22,9,14,13,15,8,18,17,11,10,28,27,25,24,21])).
% 0.19/0.71 cnf(77,plain,
% 0.19/0.71 (P2(f6(a2),a1,f6(a5))),
% 0.19/0.71 inference(scs_inference,[],[5,3,51,23,11,10,22])).
% 0.19/0.71 cnf(79,plain,
% 0.19/0.71 (P4(a2,a2,f7(a2,a2))),
% 0.19/0.71 inference(scs_inference,[],[5,3,51,23,11,10,22,18])).
% 0.19/0.71 cnf(87,plain,
% 0.19/0.71 (P2(f3(a1,a1),a1,f3(a1,a1))),
% 0.19/0.71 inference(scs_inference,[],[5,3,35,51,32,57,43,23,11,10,22,18,17,24,12,26])).
% 0.19/0.71 cnf(89,plain,
% 0.19/0.71 (P2(a1,f6(a5),f6(a5))),
% 0.19/0.71 inference(scs_inference,[],[5,3,35,51,32,57,43,23,11,10,22,18,17,24,12,26,25])).
% 0.19/0.71 cnf(105,plain,
% 0.19/0.71 (P2(a1,f3(a1,a1),f3(a1,a1))),
% 0.19/0.71 inference(scs_inference,[],[89,87,77,43,5,26,25])).
% 0.19/0.71 cnf(137,plain,
% 0.19/0.71 (P2(a1,f6(a1),a1)),
% 0.19/0.71 inference(scs_inference,[],[37,22])).
% 0.19/0.71 cnf(139,plain,
% 0.19/0.71 (~P2(f6(a1),a1,a4)),
% 0.19/0.71 inference(scs_inference,[],[6,37,35,22,26])).
% 0.19/0.71 cnf(141,plain,
% 0.19/0.71 (P2(f6(a5),a5,a1)),
% 0.19/0.71 inference(scs_inference,[],[6,4,37,35,22,26,15])).
% 0.19/0.71 cnf(145,plain,
% 0.19/0.71 (P4(a4,a5,a5)),
% 0.19/0.71 inference(scs_inference,[],[6,4,37,35,22,26,15,8,14])).
% 0.19/0.71 cnf(147,plain,
% 0.19/0.71 (P2(a1,a5,a5)),
% 0.19/0.71 inference(scs_inference,[],[6,4,37,35,22,26,15,8,14,13])).
% 0.19/0.71 cnf(151,plain,
% 0.19/0.71 (P2(f6(a1),f3(a1,a1),f3(a1,a1))),
% 0.19/0.71 inference(scs_inference,[],[6,4,37,105,35,57,22,26,15,8,14,13,21,25])).
% 0.19/0.71 cnf(161,plain,
% 0.19/0.71 (~P2(f6(a5),a5,a4)),
% 0.19/0.71 inference(scs_inference,[],[139,141,53,22,25])).
% 0.19/0.71 cnf(165,plain,
% 0.19/0.71 (P4(a5,a4,a5)),
% 0.19/0.71 inference(scs_inference,[],[137,139,141,145,53,77,22,25,26,23])).
% 0.19/0.71 cnf(167,plain,
% 0.19/0.71 (P4(a4,a4,f7(a4,a4))),
% 0.19/0.71 inference(scs_inference,[],[2,137,139,141,145,53,77,22,25,26,23,18])).
% 0.19/0.71 cnf(169,plain,
% 0.19/0.71 (P2(a4,a4,f3(a4,a4))),
% 0.19/0.71 inference(scs_inference,[],[2,137,139,141,145,53,77,22,25,26,23,18,17])).
% 0.19/0.71 cnf(175,plain,
% 0.19/0.71 (P3(a4,a4)),
% 0.19/0.71 inference(scs_inference,[],[2,137,139,141,145,53,77,22,25,26,23,18,17,11,10,9])).
% 0.19/0.71 cnf(190,plain,
% 0.19/0.71 (P4(a5,a5,f7(a5,a5))),
% 0.19/0.71 inference(scs_inference,[],[4,18])).
% 0.19/0.71 cnf(192,plain,
% 0.19/0.71 (P2(a5,a5,f3(a5,a5))),
% 0.19/0.71 inference(scs_inference,[],[4,18,17])).
% 0.19/0.71 cnf(198,plain,
% 0.19/0.71 (P2(a1,a4,a4)),
% 0.19/0.71 inference(scs_inference,[],[4,175,18,17,11,10,19])).
% 0.19/0.71 cnf(206,plain,
% 0.19/0.71 (~P2(f6(a2),a5,a4)),
% 0.19/0.71 inference(scs_inference,[],[33,6,4,161,169,175,151,147,87,77,43,18,17,11,10,19,29,22,25,26])).
% 0.19/0.71 cnf(220,plain,
% 0.19/0.71 (P4(a1,a4,a1)),
% 0.19/0.71 inference(scs_inference,[],[33,23])).
% 0.19/0.71 cnf(224,plain,
% 0.19/0.71 (P2(f7(a1,a1),a1,a1)),
% 0.19/0.71 inference(scs_inference,[],[33,192,198,165,41,23,30,29])).
% 0.19/0.71 cnf(230,plain,
% 0.19/0.71 (~P2(a2,f6(a5),a1)),
% 0.19/0.71 inference(scs_inference,[],[31,33,192,206,198,165,147,141,41,43,23,30,29,26,22,25])).
% 0.19/0.71 cnf(234,plain,
% 0.19/0.71 (P4(a5,f7(a4,a4),a5)),
% 0.19/0.71 inference(scs_inference,[],[31,33,190,192,206,198,165,167,147,141,41,43,23,30,29,26,22,25,21,27])).
% 0.19/0.71 cnf(248,plain,
% 0.19/0.71 (P4(f3(a5,a5),f7(a4,a4),f3(a5,a5))),
% 0.19/0.71 inference(scs_inference,[],[234,192,30])).
% 0.19/0.71 cnf(252,plain,
% 0.19/0.71 (P2(a1,f3(a5,a5),f3(a5,a5))),
% 0.19/0.71 inference(scs_inference,[],[35,6,234,220,192,147,30,29,25])).
% 0.19/0.71 cnf(254,plain,
% 0.19/0.71 (P2(a1,f7(a1,a1),a1)),
% 0.19/0.71 inference(scs_inference,[],[35,6,224,234,220,192,147,30,29,25,22])).
% 0.19/0.71 cnf(256,plain,
% 0.19/0.71 (P4(a4,a2,a2)),
% 0.19/0.71 inference(scs_inference,[],[3,35,6,224,234,220,192,147,30,29,25,22,14])).
% 0.19/0.71 cnf(262,plain,
% 0.19/0.71 (P2(f6(a2),a2,a1)),
% 0.19/0.71 inference(scs_inference,[],[3,35,6,224,234,220,192,147,30,29,25,22,14,13,8,15])).
% 0.19/0.71 cnf(290,plain,
% 0.19/0.71 ($false),
% 0.19/0.71 inference(scs_inference,[],[32,35,6,33,254,248,256,252,230,262,234,79,190,169,5,28,23,27,24,30,22,25,26]),
% 0.19/0.71 ['proof']).
% 0.19/0.71 % SZS output end Proof
% 0.19/0.71 % Total time :0.070000s
%------------------------------------------------------------------------------