TSTP Solution File: FLD010-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD010-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n010.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 22:26:28 EDT 2023
% Result : Unsatisfiable 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD010-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n010.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 : Mon Aug 28 00:28:49 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % File :CSE---1.6
% 0.20/0.61 % Problem :theBenchmark
% 0.20/0.61 % Transform :cnf
% 0.20/0.61 % Format :tptp:raw
% 0.20/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.61
% 0.20/0.61 % Result :Theorem 0.000000s
% 0.20/0.61 % Output :CNFRefutation 0.000000s
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 % File : FLD010-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.20/0.61 % Domain : Field Theory (Ordered fields)
% 0.20/0.61 % Problem : In the multiplicative group inverse(identity)=identity
% 0.20/0.61 % Version : [Dra93] axioms : Especial.
% 0.20/0.61 % Theorem formulation : Functional with re axiom set.
% 0.20/0.61 % English :
% 0.20/0.61
% 0.20/0.61 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.20/0.61 % Source : [Dra93]
% 0.20/0.61 % Names :
% 0.20/0.61
% 0.20/0.61 % Status : Unsatisfiable
% 0.20/0.62 % Rating : 0.00 v7.0.0, 0.12 v6.3.0, 0.00 v2.4.0, 0.20 v2.3.0, 0.00 v2.1.0
% 0.20/0.62 % Syntax : Number of clauses : 28 ( 5 unt; 3 nHn; 28 RR)
% 0.20/0.62 % Number of literals : 79 ( 0 equ; 51 neg)
% 0.20/0.62 % Maximal clause size : 5 ( 2 avg)
% 0.20/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.62 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.20/0.62 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 0.20/0.62 % Number of variables : 73 ( 0 sgn)
% 0.20/0.62 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.62
% 0.20/0.62 % Comments :
% 0.20/0.62 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 include('Axioms/FLD002-0.ax').
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 cnf(not_sum_1,negated_conjecture,
% 0.20/0.62 ~ sum(additive_identity,multiplicative_identity,additive_identity) ).
% 0.20/0.62
% 0.20/0.62 cnf(not_product_2,negated_conjecture,
% 0.20/0.62 ~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity) ).
% 0.20/0.62
% 0.20/0.62 %--------------------------------------------------------------------------
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark
% 0.20/0.62 % SZS output start Proof
% 0.20/0.62 %ClaNum:28(EqnAxiom:0)
% 0.20/0.62 %VarNum:162(SingletonVarNum:73)
% 0.20/0.62 %MaxLitNum:5
% 0.20/0.62 %MaxfuncDepth:1
% 0.20/0.62 %SharedTerms:8
% 0.20/0.62 %goalClause: 4 5
% 0.20/0.62 %singleGoalClaCount:2
% 0.20/0.62 [1]P1(a1)
% 0.20/0.62 [2]P1(a3)
% 0.20/0.62 [3]~P2(a1,a1,a3)
% 0.20/0.62 [4]~P2(a1,a3,a1)
% 0.20/0.62 [5]~P3(a3,f5(a3),a3)
% 0.20/0.62 [11]~P1(x111)+P2(a1,x111,x111)
% 0.20/0.62 [12]~P1(x121)+P3(a3,x121,x121)
% 0.20/0.62 [6]~P1(x61)+P1(f4(x61))
% 0.20/0.62 [13]~P1(x131)+P2(f4(x131),x131,a1)
% 0.20/0.62 [20]~P2(x202,x201,x203)+P2(x201,x202,x203)
% 0.20/0.62 [21]~P3(x212,x211,x213)+P3(x211,x212,x213)
% 0.20/0.62 [14]~P1(x141)+P2(a1,x141,a1)+P1(f5(x141))
% 0.20/0.62 [18]~P1(x181)+P3(f5(x181),x181,a3)+P2(a1,x181,a1)
% 0.20/0.62 [17]~P4(x172,x171)+~P4(x171,x172)+P2(a1,x171,x172)
% 0.20/0.62 [8]~P1(x82)+~P1(x81)+P1(f2(x81,x82))
% 0.20/0.62 [9]~P1(x92)+~P1(x91)+P1(f6(x91,x92))
% 0.20/0.62 [15]~P1(x152)+~P1(x151)+P2(x151,x152,f2(x151,x152))
% 0.20/0.62 [16]~P1(x162)+~P1(x161)+P3(x161,x162,f6(x161,x162))
% 0.20/0.62 [10]~P4(x101,x103)+P4(x101,x102)+~P4(x103,x102)
% 0.20/0.62 [7]P4(x72,x71)+~P1(x71)+~P1(x72)+P4(x71,x72)
% 0.20/0.62 [19]~P3(x193,x192,x191)+P4(a1,x191)+~P4(a1,x192)+~P4(a1,x193)
% 0.20/0.62 [22]~P2(x223,x225,x221)+P4(x221,x222)+~P2(x224,x225,x222)+~P4(x223,x224)
% 0.20/0.62 [23]~P2(x231,x236,x234)+P2(x231,x232,x233)+~P2(x234,x235,x233)+~P2(x236,x235,x232)
% 0.20/0.62 [24]~P2(x246,x244,x241)+P2(x241,x242,x243)+~P2(x244,x242,x245)+~P2(x246,x245,x243)
% 0.20/0.62 [25]~P3(x251,x256,x254)+P3(x251,x252,x253)+~P3(x254,x255,x253)+~P3(x256,x255,x252)
% 0.20/0.62 [26]~P3(x266,x264,x261)+P3(x261,x262,x263)+~P3(x264,x262,x265)+~P3(x266,x265,x263)
% 0.20/0.62 [27]~P3(x275,x277,x272)+~P3(x274,x277,x271)+P2(x271,x272,x273)+~P2(x274,x275,x276)+~P3(x276,x277,x273)
% 0.20/0.62 [28]~P3(x287,x282,x285)+~P3(x286,x282,x284)+P3(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x287,x281)
% 0.20/0.62 %EqnAxiom
% 0.20/0.62
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 cnf(31,plain,
% 0.20/0.62 ($false),
% 0.20/0.62 inference(scs_inference,[],[4,2,5,21,20,18]),
% 0.20/0.62 ['proof']).
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time :0.000000s
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