TSTP Solution File: FLD006-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD006-3 : 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 22:26:26 EDT 2023
% Result : Unsatisfiable 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD006-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n011.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 : Mon Aug 28 00:12:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.19/0.58 %-------------------------------------------
% 0.19/0.58 % File :CSE---1.6
% 0.19/0.58 % Problem :theBenchmark
% 0.19/0.58 % Transform :cnf
% 0.19/0.58 % Format :tptp:raw
% 0.19/0.58 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.58
% 0.19/0.58 % Result :Theorem 0.000000s
% 0.19/0.58 % Output :CNFRefutation 0.000000s
% 0.19/0.58 %-------------------------------------------
% 0.19/0.59 %--------------------------------------------------------------------------
% 0.19/0.59 % File : FLD006-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.19/0.59 % Domain : Field Theory (Ordered fields)
% 0.19/0.59 % Problem : In the additive group it holds: inverse(identity)=identity
% 0.19/0.59 % Version : [Dra93] axioms : Especial.
% 0.19/0.59 % Theorem formulation : Functional with re axiom set.
% 0.19/0.59 % English :
% 0.19/0.59
% 0.19/0.59 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.19/0.59 % Source : [Dra93]
% 0.19/0.59 % Names :
% 0.19/0.59
% 0.19/0.59 % Status : Unsatisfiable
% 0.19/0.59 % Rating : 0.00 v2.1.0
% 0.19/0.59 % Syntax : Number of clauses : 27 ( 4 unt; 3 nHn; 27 RR)
% 0.19/0.59 % Number of literals : 78 ( 0 equ; 50 neg)
% 0.19/0.59 % Maximal clause size : 5 ( 2 avg)
% 0.19/0.59 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.59 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.19/0.59 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 0.19/0.59 % Number of variables : 73 ( 0 sgn)
% 0.19/0.59 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.19/0.59
% 0.19/0.59 % Comments :
% 0.19/0.59 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.19/0.59 %--------------------------------------------------------------------------
% 0.19/0.59 include('Axioms/FLD002-0.ax').
% 0.19/0.59 %--------------------------------------------------------------------------
% 0.19/0.59 cnf(not_sum_1,negated_conjecture,
% 0.19/0.59 ~ sum(additive_identity,additive_inverse(additive_identity),additive_identity) ).
% 0.19/0.59
% 0.19/0.59 %--------------------------------------------------------------------------
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark
% 0.19/0.59 % SZS output start Proof
% 0.19/0.59 %ClaNum:27(EqnAxiom:0)
% 0.19/0.59 %VarNum:162(SingletonVarNum:73)
% 0.19/0.59 %MaxLitNum:5
% 0.19/0.59 %MaxfuncDepth:1
% 0.19/0.59 %SharedTerms:7
% 0.19/0.59 %goalClause: 4
% 0.19/0.59 %singleGoalClaCount:1
% 0.19/0.59 [1]P1(a1)
% 0.19/0.59 [2]P1(a3)
% 0.19/0.59 [3]~P2(a1,a1,a3)
% 0.19/0.59 [4]~P2(a1,f4(a1),a1)
% 0.19/0.59 [10]~P1(x101)+P2(a1,x101,x101)
% 0.19/0.59 [11]~P1(x111)+P4(a3,x111,x111)
% 0.19/0.59 [5]~P1(x51)+P1(f4(x51))
% 0.19/0.59 [12]~P1(x121)+P2(f4(x121),x121,a1)
% 0.19/0.59 [19]~P2(x192,x191,x193)+P2(x191,x192,x193)
% 0.19/0.59 [20]~P4(x202,x201,x203)+P4(x201,x202,x203)
% 0.19/0.59 [13]~P1(x131)+P2(a1,x131,a1)+P1(f6(x131))
% 0.19/0.59 [17]~P1(x171)+P4(f6(x171),x171,a3)+P2(a1,x171,a1)
% 0.19/0.59 [16]~P3(x162,x161)+~P3(x161,x162)+P2(a1,x161,x162)
% 0.19/0.59 [7]~P1(x72)+~P1(x71)+P1(f2(x71,x72))
% 0.19/0.59 [8]~P1(x82)+~P1(x81)+P1(f5(x81,x82))
% 0.19/0.59 [14]~P1(x142)+~P1(x141)+P2(x141,x142,f2(x141,x142))
% 0.19/0.59 [15]~P1(x152)+~P1(x151)+P4(x151,x152,f5(x151,x152))
% 0.19/0.59 [9]~P3(x91,x93)+P3(x91,x92)+~P3(x93,x92)
% 0.19/0.59 [6]P3(x62,x61)+~P1(x61)+~P1(x62)+P3(x61,x62)
% 0.19/0.59 [18]~P4(x183,x182,x181)+P3(a1,x181)+~P3(a1,x182)+~P3(a1,x183)
% 0.19/0.59 [21]~P2(x213,x215,x211)+P3(x211,x212)+~P2(x214,x215,x212)+~P3(x213,x214)
% 0.19/0.59 [22]~P2(x221,x226,x224)+P2(x221,x222,x223)+~P2(x224,x225,x223)+~P2(x226,x225,x222)
% 0.19/0.59 [23]~P2(x236,x234,x231)+P2(x231,x232,x233)+~P2(x234,x232,x235)+~P2(x236,x235,x233)
% 0.19/0.59 [24]~P4(x241,x246,x244)+P4(x241,x242,x243)+~P4(x244,x245,x243)+~P4(x246,x245,x242)
% 0.19/0.59 [25]~P4(x256,x254,x251)+P4(x251,x252,x253)+~P4(x254,x252,x255)+~P4(x256,x255,x253)
% 0.19/0.59 [26]~P4(x265,x267,x262)+~P4(x264,x267,x261)+P2(x261,x262,x263)+~P2(x264,x265,x266)+~P4(x266,x267,x263)
% 0.19/0.59 [27]~P4(x277,x272,x275)+~P4(x276,x272,x274)+P4(x271,x272,x273)+~P2(x274,x275,x273)+~P2(x276,x277,x271)
% 0.19/0.59 %EqnAxiom
% 0.19/0.59
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 cnf(29,plain,
% 0.19/0.59 ($false),
% 0.19/0.59 inference(scs_inference,[],[4,1,19,12]),
% 0.19/0.59 ['proof']).
% 0.19/0.59 % SZS output end Proof
% 0.19/0.59 % Total time :0.000000s
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