%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD013-1 : 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 : n028.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 05:55:11 EDT 2024
% Result : Unsatisfiable 0.51s 1.03s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD013-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.06/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jun 19 10:00:38 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.48/0.55 start to proof:theBenchmark
% 0.51/1.02 %-------------------------------------------
% 0.51/1.02 % File :CSE---1.7
% 0.51/1.02 % Problem :theBenchmark
% 0.51/1.02 % Transform :cnf
% 0.51/1.02 % Format :tptp:raw
% 0.51/1.02 % Command :java -jar mcs_scs.jar %d %s
% 0.51/1.02
% 0.51/1.02 % Result :Theorem 0.430000s
% 0.51/1.02 % Output :CNFRefutation 0.430000s
% 0.51/1.03 %-------------------------------------------
% 0.51/1.03 %--------------------------------------------------------------------------
% 0.51/1.03 % File : FLD013-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.51/1.03 % Domain : Field Theory (Ordered fields)
% 0.51/1.03 % Problem : The resulting equation of the summation of two equations
% 0.51/1.03 % Version : [Dra93] axioms : Especial.
% 0.51/1.03 % Theorem formulation : Functional with glxx axiom set.
% 0.51/1.03 % English :
% 0.51/1.03
% 0.51/1.03 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.51/1.03 % Source : [Dra93]
% 0.51/1.03 % Names :
% 0.51/1.03
% 0.51/1.03 % Status : Unsatisfiable
% 0.51/1.03 % Rating : 0.17 v8.2.0, 0.14 v7.5.0, 0.17 v7.4.0, 0.33 v7.1.0, 0.50 v6.3.0, 0.43 v6.2.0, 0.22 v6.1.0, 0.29 v5.5.0, 0.38 v5.4.0, 0.30 v5.2.0, 0.10 v5.1.0, 0.27 v5.0.0, 0.43 v4.1.0, 0.25 v4.0.1, 0.40 v4.0.0, 0.43 v3.7.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.20 v2.4.0, 0.40 v2.3.0, 0.67 v2.2.1, 1.00 v2.1.0
% 0.51/1.03 % Syntax : Number of clauses : 34 ( 10 unt; 3 nHn; 34 RR)
% 0.51/1.03 % Number of literals : 80 ( 0 equ; 45 neg)
% 0.51/1.03 % Maximal clause size : 4 ( 2 avg)
% 0.51/1.03 % Maximal term depth : 3 ( 1 avg)
% 0.51/1.03 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.51/1.03 % Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% 0.51/1.03 % Number of variables : 50 ( 0 sgn)
% 0.51/1.03 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.51/1.03
% 0.51/1.03 % Comments :
% 0.51/1.03 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 0.51/1.03 %--------------------------------------------------------------------------
% 0.51/1.03 include('Axioms/FLD001-0.ax').
% 0.51/1.03 %--------------------------------------------------------------------------
% 0.51/1.03 cnf(a_is_defined,hypothesis,
% 0.51/1.03 defined(a) ).
% 0.51/1.03
% 0.51/1.03 cnf(b_is_defined,hypothesis,
% 0.51/1.03 defined(b) ).
% 0.51/1.03
% 0.51/1.03 cnf(c_is_defined,hypothesis,
% 0.51/1.03 defined(c) ).
% 0.51/1.03
% 0.51/1.03 cnf(d_is_defined,hypothesis,
% 0.51/1.03 defined(d) ).
% 0.51/1.03
% 0.51/1.03 cnf(a_equals_b_5,negated_conjecture,
% 0.51/1.03 equalish(a,b) ).
% 0.51/1.03
% 0.51/1.03 cnf(c_equals_d_6,negated_conjecture,
% 0.51/1.03 equalish(c,d) ).
% 0.51/1.03
% 0.51/1.03 cnf(add_not_equal_to_add_7,negated_conjecture,
% 0.51/1.03 ~ equalish(add(a,c),add(d,b)) ).
% 0.51/1.03
% 0.51/1.03 %--------------------------------------------------------------------------
% 0.51/1.03 %-------------------------------------------
% 0.51/1.03 % Proof found
% 0.51/1.03 % SZS status Theorem for theBenchmark
% 0.51/1.03 % SZS output start Proof
% 0.51/1.03 %ClaNum:34(EqnAxiom:0)
% 0.51/1.03 %VarNum:128(SingletonVarNum:50)
% 0.51/1.03 %MaxLitNum:4
% 0.51/1.03 %MaxfuncDepth:2
% 0.51/1.03 %SharedTerms:18
% 0.51/1.03 %goalClause: 7 8 10
% 0.51/1.03 %singleGoalClaCount:3
% 0.51/1.03 [1]P1(a1)
% 0.51/1.03 [2]P1(a4)
% 0.51/1.03 [3]P1(a2)
% 0.51/1.03 [4]P1(a5)
% 0.51/1.03 [5]P1(a7)
% 0.51/1.03 [6]P1(a8)
% 0.51/1.03 [7]P2(a2,a5)
% 0.51/1.03 [8]P2(a7,a8)
% 0.51/1.03 [9]~P2(a1,a4)
% 0.51/1.03 [10]~P2(f3(a2,a7),f3(a8,a5))
% 0.51/1.03 [12]~P1(x121)+P2(x121,x121)
% 0.51/1.03 [11]~P1(x111)+P1(f6(x111))
% 0.51/1.03 [16]~P1(x161)+P2(f3(a1,x161),x161)
% 0.51/1.03 [17]~P1(x171)+P2(f10(a4,x171),x171)
% 0.51/1.03 [20]~P1(x201)+P2(f3(x201,f6(x201)),a1)
% 0.51/1.03 [14]~P2(x142,x141)+P2(x141,x142)
% 0.51/1.03 [13]~P1(x131)+P2(x131,a1)+P1(f9(x131))
% 0.51/1.03 [25]~P1(x251)+P2(x251,a1)+P2(f10(x251,f9(x251)),a4)
% 0.51/1.03 [22]~P3(x222,x221)+~P3(x221,x222)+P2(x221,x222)
% 0.51/1.03 [18]~P1(x182)+~P1(x181)+P1(f3(x181,x182))
% 0.51/1.03 [19]~P1(x192)+~P1(x191)+P1(f10(x191,x192))
% 0.51/1.03 [26]~P3(a1,x262)+~P3(a1,x261)+P3(a1,f10(x261,x262))
% 0.51/1.03 [27]~P1(x272)+~P1(x271)+P2(f3(x271,x272),f3(x272,x271))
% 0.51/1.03 [28]~P1(x282)+~P1(x281)+P2(f10(x281,x282),f10(x282,x281))
% 0.51/1.03 [21]~P2(x211,x213)+P2(x211,x212)+~P2(x213,x212)
% 0.51/1.03 [23]~P3(x233,x232)+P3(x231,x232)+~P2(x233,x231)
% 0.51/1.03 [24]~P3(x241,x243)+P3(x241,x242)+~P3(x243,x242)
% 0.51/1.03 [29]~P1(x292)+~P2(x291,x293)+P2(f3(x291,x292),f3(x293,x292))
% 0.51/1.03 [30]~P1(x302)+~P2(x301,x303)+P2(f10(x301,x302),f10(x303,x302))
% 0.51/1.03 [31]~P1(x312)+~P3(x311,x313)+P3(f3(x311,x312),f3(x313,x312))
% 0.51/1.03 [15]P3(x152,x151)+~P1(x151)+~P1(x152)+P3(x151,x152)
% 0.51/1.03 [32]~P1(x323)+~P1(x322)+~P1(x321)+P2(f3(x321,f3(x322,x323)),f3(f3(x321,x322),x323))
% 0.51/1.03 [33]~P1(x333)+~P1(x332)+~P1(x331)+P2(f10(x331,f10(x332,x333)),f10(f10(x331,x332),x333))
% 0.51/1.03 [34]~P1(x343)+~P1(x342)+~P1(x341)+P2(f3(f10(x341,x342),f10(x343,x342)),f10(f3(x341,x343),x342))
% 0.51/1.03 %EqnAxiom
% 0.51/1.03
% 0.51/1.03 %-------------------------------------------
% 0.51/1.03 cnf(37,plain,
% 0.51/1.03 (P3(a1,a1)),
% 0.51/1.03 inference(scs_inference,[],[10,1,14,15])).
% 0.51/1.03 cnf(39,plain,
% 0.51/1.03 (~P2(x391,a2)+P2(x391,a5)),
% 0.51/1.03 inference(scs_inference,[],[7,10,1,14,15,21])).
% 0.51/1.03 cnf(50,plain,
% 0.51/1.03 (P3(a4,a4)),
% 0.51/1.03 inference(scs_inference,[],[2,9,37,14,22,15])).
% 0.51/1.03 cnf(57,plain,
% 0.51/1.03 (P3(a2,a2)),
% 0.51/1.03 inference(scs_inference,[],[3,50,22,15])).
% 0.51/1.03 cnf(61,plain,
% 0.51/1.03 (~P2(x611,a7)+P2(x611,a8)),
% 0.51/1.03 inference(scs_inference,[],[7,8,3,50,22,15,23,21])).
% 0.51/1.03 cnf(65,plain,
% 0.51/1.03 (P2(a2,a2)),
% 0.51/1.03 inference(scs_inference,[],[57,22])).
% 0.51/1.03 cnf(67,plain,
% 0.51/1.03 (P3(a5,a5)),
% 0.51/1.04 inference(scs_inference,[],[4,57,22,15])).
% 0.51/1.04 cnf(76,plain,
% 0.51/1.04 (P3(a7,a7)),
% 0.51/1.04 inference(scs_inference,[],[5,67,22,15])).
% 0.51/1.04 cnf(80,plain,
% 0.51/1.04 (~P3(x801,a8)+P3(x801,a7)),
% 0.51/1.04 inference(scs_inference,[],[8,5,67,22,15,23,24])).
% 0.51/1.04 cnf(82,plain,
% 0.51/1.04 (P2(a7,a7)),
% 0.51/1.04 inference(scs_inference,[],[76,22])).
% 0.51/1.04 cnf(84,plain,
% 0.51/1.04 (P3(a8,a8)),
% 0.51/1.04 inference(scs_inference,[],[6,76,22,15])).
% 0.51/1.04 cnf(101,plain,
% 0.51/1.04 (P2(a5,a2)),
% 0.51/1.04 inference(scs_inference,[],[65,39,14])).
% 0.51/1.04 cnf(109,plain,
% 0.51/1.04 (P2(a8,a7)),
% 0.51/1.04 inference(scs_inference,[],[82,61,14])).
% 0.51/1.04 cnf(123,plain,
% 0.51/1.04 (P3(f3(a8,a2),f3(a7,a2))),
% 0.51/1.04 inference(scs_inference,[],[84,3,80,31])).
% 0.51/1.04 cnf(130,plain,
% 0.51/1.04 (P2(f3(a8,a2),f3(a7,a2))+~P3(f3(a7,a2),f3(a8,a2))),
% 0.51/1.04 inference(scs_inference,[],[123,22])).
% 0.51/1.04 cnf(180,plain,
% 0.51/1.04 (P3(a2,a5)),
% 0.51/1.04 inference(scs_inference,[],[67,101,23])).
% 0.51/1.04 cnf(188,plain,
% 0.51/1.04 (P3(a7,a8)),
% 0.51/1.04 inference(scs_inference,[],[84,109,23])).
% 0.51/1.04 cnf(274,plain,
% 0.51/1.04 (P2(f3(a8,a2),f3(a7,a2))),
% 0.51/1.04 inference(scs_inference,[],[188,3,130,31])).
% 0.51/1.04 cnf(280,plain,
% 0.51/1.04 (~P2(x2801,f3(a8,a2))+P2(x2801,f3(a7,a2))),
% 0.51/1.04 inference(scs_inference,[],[274,21])).
% 0.51/1.04 cnf(285,plain,
% 0.51/1.04 (P2(f3(a2,a8),f3(a7,a2))),
% 0.51/1.04 inference(scs_inference,[],[6,3,280,27])).
% 0.51/1.04 cnf(286,plain,
% 0.51/1.04 (~P2(x2861,f3(a2,a8))+P2(x2861,f3(a7,a2))),
% 0.51/1.04 inference(scs_inference,[],[285,21])).
% 0.51/1.04 cnf(291,plain,
% 0.51/1.04 (~P3(f3(a2,a8),x2911)+P3(f3(a7,a2),x2911)),
% 0.51/1.04 inference(scs_inference,[],[285,23])).
% 0.51/1.04 cnf(296,plain,
% 0.51/1.04 (P2(f3(a5,a8),f3(a7,a2))),
% 0.51/1.04 inference(scs_inference,[],[101,6,286,29])).
% 0.51/1.04 cnf(297,plain,
% 0.51/1.04 (~P2(x2971,f3(a5,a8))+P2(x2971,f3(a7,a2))),
% 0.51/1.04 inference(scs_inference,[],[296,21])).
% 0.51/1.04 cnf(302,plain,
% 0.51/1.04 (P3(f3(a7,a2),f3(a5,a8))),
% 0.51/1.04 inference(scs_inference,[],[180,6,291,31])).
% 0.51/1.04 cnf(313,plain,
% 0.51/1.04 (P2(f3(a7,a2),x3131)+~P2(x3131,f3(a5,a8))),
% 0.51/1.04 inference(scs_inference,[],[297,14])).
% 0.51/1.04 cnf(321,plain,
% 0.51/1.04 (P2(f3(a7,a2),f3(a8,a5))),
% 0.51/1.04 inference(scs_inference,[],[4,6,313,27])).
% 0.51/1.04 cnf(334,plain,
% 0.51/1.04 ($false),
% 0.51/1.04 inference(scs_inference,[],[10,302,321,5,3,21,23,280,286,297,14,27]),
% 0.51/1.04 ['proof']).
% 0.51/1.04 % SZS output end Proof
% 0.51/1.04 % Total time :0.430000s
%------------------------------------------------------------------------------