%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD024-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 : Mon Jun 24 05:55:16 EDT 2024
% Result : Unsatisfiable 7.40s 7.47s
% Output : CNFRefutation 7.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD024-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n023.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jun 19 10:41:54 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 7.40/7.46 %-------------------------------------------
% 7.40/7.46 % File :CSE---1.7
% 7.40/7.46 % Problem :theBenchmark
% 7.40/7.46 % Transform :cnf
% 7.40/7.46 % Format :tptp:raw
% 7.40/7.46 % Command :java -jar mcs_scs.jar %d %s
% 7.40/7.46
% 7.40/7.46 % Result :Theorem 6.850000s
% 7.40/7.46 % Output :CNFRefutation 6.850000s
% 7.40/7.46 %-------------------------------------------
% 7.40/7.47 %--------------------------------------------------------------------------
% 7.40/7.47 % File : FLD024-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 7.40/7.47 % Domain : Field Theory (Ordered fields)
% 7.40/7.47 % Problem : Side Change of a term in an equation, part 2
% 7.40/7.47 % Version : [Dra93] axioms : Especial.
% 7.40/7.47 % Theorem formulation : Functional with re axiom set.
% 7.40/7.47 % English :
% 7.40/7.47
% 7.40/7.47 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 7.40/7.47 % Source : [Dra93]
% 7.40/7.47 % Names :
% 7.40/7.47
% 7.40/7.47 % Status : Unsatisfiable
% 7.40/7.47 % 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 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 7.40/7.47 % Syntax : Number of clauses : 30 ( 7 unt; 3 nHn; 30 RR)
% 7.40/7.47 % Number of literals : 81 ( 0 equ; 50 neg)
% 7.40/7.47 % Maximal clause size : 5 ( 2 avg)
% 7.40/7.47 % Maximal term depth : 2 ( 1 avg)
% 7.40/7.47 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 7.40/7.47 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 7.40/7.47 % Number of variables : 73 ( 0 sgn)
% 7.40/7.47 % SPC : CNF_UNS_RFO_NEQ_NHN
% 7.40/7.47
% 7.40/7.47 % Comments :
% 7.40/7.47 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 7.40/7.47 %--------------------------------------------------------------------------
% 7.40/7.47 include('Axioms/FLD002-0.ax').
% 7.40/7.47 %--------------------------------------------------------------------------
% 7.40/7.47 cnf(a_is_defined,hypothesis,
% 7.40/7.47 defined(a) ).
% 7.40/7.47
% 7.40/7.47 cnf(b_is_defined,hypothesis,
% 7.40/7.47 defined(b) ).
% 7.40/7.47
% 7.40/7.47 cnf(sum_3,negated_conjecture,
% 7.40/7.47 sum(b,additive_inverse(a),additive_identity) ).
% 7.40/7.47
% 7.40/7.47 cnf(not_sum_4,negated_conjecture,
% 7.40/7.47 ~ sum(additive_identity,a,b) ).
% 7.40/7.47
% 7.40/7.47 %--------------------------------------------------------------------------
% 7.40/7.47 %-------------------------------------------
% 7.40/7.47 % Proof found
% 7.40/7.47 % SZS status Theorem for theBenchmark
% 7.40/7.47 % SZS output start Proof
% 7.40/7.47 %ClaNum:30(EqnAxiom:0)
% 7.40/7.47 %VarNum:162(SingletonVarNum:73)
% 7.40/7.47 %MaxLitNum:5
% 7.40/7.47 %MaxfuncDepth:1
% 7.40/7.47 %SharedTerms:12
% 7.40/7.47 %goalClause: 5 7
% 7.40/7.47 %singleGoalClaCount:2
% 7.40/7.47 [1]P1(a1)
% 7.40/7.47 [2]P1(a4)
% 7.40/7.47 [3]P1(a2)
% 7.40/7.47 [4]P1(a5)
% 7.40/7.47 [6]~P2(a1,a1,a4)
% 7.40/7.47 [7]~P2(a1,a2,a5)
% 7.40/7.47 [5]P2(a5,f6(a2),a1)
% 7.40/7.47 [13]~P1(x131)+P2(a1,x131,x131)
% 7.40/7.47 [14]~P1(x141)+P4(a4,x141,x141)
% 7.40/7.47 [8]~P1(x81)+P1(f6(x81))
% 7.40/7.47 [15]~P1(x151)+P2(f6(x151),x151,a1)
% 7.40/7.47 [22]~P2(x222,x221,x223)+P2(x221,x222,x223)
% 7.40/7.47 [23]~P4(x232,x231,x233)+P4(x231,x232,x233)
% 7.40/7.47 [16]~P1(x161)+P2(a1,x161,a1)+P1(f8(x161))
% 7.40/7.47 [20]~P1(x201)+P4(f8(x201),x201,a4)+P2(a1,x201,a1)
% 7.40/7.47 [19]~P3(x192,x191)+~P3(x191,x192)+P2(a1,x191,x192)
% 7.40/7.47 [10]~P1(x102)+~P1(x101)+P1(f3(x101,x102))
% 7.40/7.47 [11]~P1(x112)+~P1(x111)+P1(f7(x111,x112))
% 7.40/7.47 [17]~P1(x172)+~P1(x171)+P2(x171,x172,f3(x171,x172))
% 7.40/7.47 [18]~P1(x182)+~P1(x181)+P4(x181,x182,f7(x181,x182))
% 7.40/7.47 [12]~P3(x121,x123)+P3(x121,x122)+~P3(x123,x122)
% 7.40/7.47 [9]P3(x92,x91)+~P1(x91)+~P1(x92)+P3(x91,x92)
% 7.40/7.47 [21]~P4(x213,x212,x211)+P3(a1,x211)+~P3(a1,x212)+~P3(a1,x213)
% 7.40/7.47 [24]~P2(x243,x245,x241)+P3(x241,x242)+~P2(x244,x245,x242)+~P3(x243,x244)
% 7.40/7.47 [25]~P2(x251,x256,x254)+P2(x251,x252,x253)+~P2(x254,x255,x253)+~P2(x256,x255,x252)
% 7.40/7.47 [26]~P2(x266,x264,x261)+P2(x261,x262,x263)+~P2(x264,x262,x265)+~P2(x266,x265,x263)
% 7.40/7.47 [27]~P4(x271,x276,x274)+P4(x271,x272,x273)+~P4(x274,x275,x273)+~P4(x276,x275,x272)
% 7.40/7.47 [28]~P4(x286,x284,x281)+P4(x281,x282,x283)+~P4(x284,x282,x285)+~P4(x286,x285,x283)
% 7.40/7.47 [29]~P4(x295,x297,x292)+~P4(x294,x297,x291)+P2(x291,x292,x293)+~P2(x294,x295,x296)+~P4(x296,x297,x293)
% 7.40/7.47 [30]~P4(x307,x302,x305)+~P4(x306,x302,x304)+P4(x301,x302,x303)+~P2(x304,x305,x303)+~P2(x306,x307,x301)
% 7.40/7.47 %EqnAxiom
% 7.40/7.47
% 7.40/7.47 %-------------------------------------------
% 7.40/7.47 cnf(31,plain,
% 7.40/7.47 (~P2(a2,a1,a5)),
% 7.40/7.47 inference(scs_inference,[],[7,22])).
% 7.40/7.47 cnf(168,plain,
% 7.40/7.47 (P2(f6(f6(a4)),f6(a4),a1)),
% 7.40/7.47 inference(scs_inference,[],[2,15,8])).
% 7.40/7.47 cnf(3586,plain,
% 7.40/7.47 (P2(f6(a2),a5,a1)),
% 7.40/7.47 inference(scs_inference,[],[5,22])).
% 7.40/7.47 cnf(3599,plain,
% 7.40/7.47 (~P2(a2,f6(a2),x35991)+~P2(x35991,a5,a5)),
% 7.40/7.47 inference(scs_inference,[],[31,3586,168,22,25])).
% 7.40/7.47 cnf(3716,plain,
% 7.40/7.47 (~P2(f6(a2),a2,x37161)+~P2(x37161,a5,a5)),
% 7.40/7.47 inference(scs_inference,[],[3599,22])).
% 7.40/7.47 cnf(3732,plain,
% 7.40/7.47 (~P2(a1,a5,a5)),
% 7.40/7.47 inference(scs_inference,[],[3,3716,15])).
% 7.40/7.47 cnf(3733,plain,
% 7.40/7.47 ($false),
% 7.40/7.47 inference(scs_inference,[],[3732,4,13]),
% 7.40/7.47 ['proof']).
% 7.40/7.47 % SZS output end Proof
% 7.40/7.47 % Total time :6.850000s
%------------------------------------------------------------------------------