%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD017-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n008.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 05:55:14 EDT 2024
% Result : Unsatisfiable 0.53s 1.02s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD017-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.04/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n008.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 : Wed Jun 19 11:28:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.50/0.56 start to proof:theBenchmark
% 0.53/1.01 %-------------------------------------------
% 0.53/1.01 % File :CSE---1.7
% 0.53/1.01 % Problem :theBenchmark
% 0.53/1.01 % Transform :cnf
% 0.53/1.01 % Format :tptp:raw
% 0.53/1.01 % Command :java -jar mcs_scs.jar %d %s
% 0.53/1.01
% 0.53/1.01 % Result :Theorem 0.410000s
% 0.53/1.01 % Output :CNFRefutation 0.410000s
% 0.53/1.01 %-------------------------------------------
% 0.53/1.02 %--------------------------------------------------------------------------
% 0.53/1.02 % File : FLD017-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.53/1.02 % Domain : Field Theory (Ordered fields)
% 0.53/1.02 % Problem : Substitution of an element in additive equations
% 0.53/1.02 % Version : [Dra93] axioms : Especial.
% 0.53/1.02 % Theorem formulation : Functional with re axiom set.
% 0.53/1.02 % English :
% 0.53/1.02
% 0.53/1.02 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.53/1.02 % Source : [Dra93]
% 0.53/1.02 % Names :
% 0.53/1.02
% 0.53/1.02 % Status : Unsatisfiable
% 0.53/1.02 % 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, 0.00 v2.2.1, 0.33 v2.1.0
% 0.53/1.02 % Syntax : Number of clauses : 33 ( 10 unt; 3 nHn; 33 RR)
% 0.53/1.02 % Number of literals : 84 ( 0 equ; 50 neg)
% 0.53/1.02 % Maximal clause size : 5 ( 2 avg)
% 0.53/1.02 % Maximal term depth : 2 ( 1 avg)
% 0.53/1.02 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.53/1.02 % Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% 0.53/1.02 % Number of variables : 73 ( 0 sgn)
% 0.53/1.02 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.53/1.02
% 0.53/1.02 % Comments :
% 0.53/1.02 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.53/1.02 %--------------------------------------------------------------------------
% 0.53/1.02 include('Axioms/FLD002-0.ax').
% 0.53/1.02 %--------------------------------------------------------------------------
% 0.53/1.02 cnf(a_is_defined,hypothesis,
% 0.53/1.02 defined(a) ).
% 0.53/1.02
% 0.53/1.02 cnf(b_is_defined,hypothesis,
% 0.53/1.02 defined(b) ).
% 0.53/1.02
% 0.53/1.02 cnf(c_is_defined,hypothesis,
% 0.53/1.02 defined(c) ).
% 0.53/1.02
% 0.53/1.02 cnf(x_is_defined,hypothesis,
% 0.53/1.02 defined(x) ).
% 0.53/1.02
% 0.53/1.02 cnf(sum_5,negated_conjecture,
% 0.53/1.02 sum(additive_identity,a,x) ).
% 0.53/1.02
% 0.53/1.02 cnf(sum_6,negated_conjecture,
% 0.53/1.02 sum(a,b,c) ).
% 0.53/1.02
% 0.53/1.02 cnf(not_sum_7,negated_conjecture,
% 0.53/1.02 ~ sum(x,b,c) ).
% 0.53/1.02
% 0.53/1.02 %--------------------------------------------------------------------------
% 0.53/1.02 %-------------------------------------------
% 0.53/1.02 % Proof found
% 0.53/1.02 % SZS status Theorem for theBenchmark
% 0.53/1.02 % SZS output start Proof
% 0.53/1.02 %ClaNum:33(EqnAxiom:0)
% 0.53/1.02 %VarNum:162(SingletonVarNum:73)
% 0.53/1.02 %MaxLitNum:5
% 0.53/1.02 %MaxfuncDepth:1
% 0.53/1.02 %SharedTerms:16
% 0.53/1.02 %goalClause: 7 8 10
% 0.54/1.02 %singleGoalClaCount:3
% 0.54/1.02 [1]P1(a1)
% 0.54/1.02 [2]P1(a4)
% 0.54/1.02 [3]P1(a2)
% 0.54/1.02 [4]P1(a5)
% 0.54/1.02 [5]P1(a7)
% 0.54/1.02 [6]P1(a8)
% 0.54/1.02 [7]P2(a1,a2,a8)
% 0.54/1.02 [8]P2(a2,a5,a7)
% 0.54/1.02 [9]~P2(a1,a1,a4)
% 0.54/1.02 [10]~P2(a8,a5,a7)
% 0.54/1.02 [16]~P1(x161)+P2(a1,x161,x161)
% 0.54/1.02 [17]~P1(x171)+P4(a4,x171,x171)
% 0.54/1.02 [11]~P1(x111)+P1(f6(x111))
% 0.54/1.02 [18]~P1(x181)+P2(f6(x181),x181,a1)
% 0.54/1.02 [25]~P2(x252,x251,x253)+P2(x251,x252,x253)
% 0.54/1.02 [26]~P4(x262,x261,x263)+P4(x261,x262,x263)
% 0.54/1.02 [19]~P1(x191)+P2(a1,x191,a1)+P1(f10(x191))
% 0.54/1.02 [23]~P1(x231)+P4(f10(x231),x231,a4)+P2(a1,x231,a1)
% 0.54/1.02 [22]~P3(x222,x221)+~P3(x221,x222)+P2(a1,x221,x222)
% 0.54/1.02 [13]~P1(x132)+~P1(x131)+P1(f3(x131,x132))
% 0.54/1.02 [14]~P1(x142)+~P1(x141)+P1(f9(x141,x142))
% 0.54/1.02 [20]~P1(x202)+~P1(x201)+P2(x201,x202,f3(x201,x202))
% 0.54/1.02 [21]~P1(x212)+~P1(x211)+P4(x211,x212,f9(x211,x212))
% 0.54/1.02 [15]~P3(x151,x153)+P3(x151,x152)+~P3(x153,x152)
% 0.54/1.02 [12]P3(x122,x121)+~P1(x121)+~P1(x122)+P3(x121,x122)
% 0.54/1.02 [24]~P4(x243,x242,x241)+P3(a1,x241)+~P3(a1,x242)+~P3(a1,x243)
% 0.54/1.02 [27]~P2(x273,x275,x271)+P3(x271,x272)+~P2(x274,x275,x272)+~P3(x273,x274)
% 0.54/1.02 [28]~P2(x281,x286,x284)+P2(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x285,x282)
% 0.54/1.02 [29]~P2(x296,x294,x291)+P2(x291,x292,x293)+~P2(x294,x292,x295)+~P2(x296,x295,x293)
% 0.54/1.02 [30]~P4(x301,x306,x304)+P4(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x305,x302)
% 0.54/1.02 [31]~P4(x316,x314,x311)+P4(x311,x312,x313)+~P4(x314,x312,x315)+~P4(x316,x315,x313)
% 0.54/1.02 [32]~P4(x325,x327,x322)+~P4(x324,x327,x321)+P2(x321,x322,x323)+~P2(x324,x325,x326)+~P4(x326,x327,x323)
% 0.54/1.02 [33]~P4(x337,x332,x335)+~P4(x336,x332,x334)+P4(x331,x332,x333)+~P2(x334,x335,x333)+~P2(x336,x337,x331)
% 0.54/1.02 %EqnAxiom
% 0.54/1.02
% 0.54/1.02 %-------------------------------------------
% 0.54/1.02 cnf(34,plain,
% 0.54/1.02 (~P2(a5,a8,a7)),
% 0.54/1.02 inference(scs_inference,[],[10,25])).
% 0.54/1.02 cnf(59,plain,
% 0.54/1.02 (P3(a5,a5)),
% 0.54/1.03 inference(scs_inference,[],[4,12])).
% 0.54/1.03 cnf(61,plain,
% 0.54/1.03 (~P2(a5,a1,x611)+~P2(x611,a2,a7)),
% 0.54/1.03 inference(scs_inference,[],[7,34,4,12,28])).
% 0.54/1.03 cnf(281,plain,
% 0.54/1.03 (~P2(a5,a1,a5)),
% 0.54/1.03 inference(scs_inference,[],[8,61,25])).
% 0.54/1.03 cnf(284,plain,
% 0.54/1.03 ($false),
% 0.54/1.03 inference(scs_inference,[],[281,59,25,22]),
% 0.54/1.03 ['proof']).
% 0.54/1.03 % SZS output end Proof
% 0.54/1.03 % Total time :0.410000s
%------------------------------------------------------------------------------