%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD055-1 : 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 : 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 : Mon Jun 24 05:55:29 EDT 2024
% Result : Unsatisfiable 0.53s 0.70s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD055-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n010.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 10:54:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.50/0.57 start to proof:theBenchmark
% 0.53/0.69 %-------------------------------------------
% 0.53/0.69 % File :CSE---1.7
% 0.53/0.69 % Problem :theBenchmark
% 0.53/0.69 % Transform :cnf
% 0.53/0.69 % Format :tptp:raw
% 0.53/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.69
% 0.53/0.69 % Result :Theorem 0.090000s
% 0.53/0.69 % Output :CNFRefutation 0.090000s
% 0.53/0.69 %-------------------------------------------
% 0.53/0.70 %--------------------------------------------------------------------------
% 0.53/0.70 % File : FLD055-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.53/0.70 % Domain : Field Theory (Ordered fields)
% 0.53/0.70 % Problem : Compatibility of order and equality relation
% 0.53/0.70 % Version : [Dra93] axioms : Especial.
% 0.53/0.70 % Theorem formulation : Functional with glxx axiom set.
% 0.53/0.70 % English :
% 0.53/0.70
% 0.53/0.70 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.53/0.70 % Source : [Dra93]
% 0.53/0.70 % Names :
% 0.53/0.70
% 0.53/0.70 % Status : Unsatisfiable
% 0.53/0.70 % Rating : 0.00 v2.2.1, 0.33 v2.1.0
% 0.53/0.70 % Syntax : Number of clauses : 33 ( 9 unt; 3 nHn; 33 RR)
% 0.53/0.70 % Number of literals : 79 ( 0 equ; 45 neg)
% 0.53/0.70 % Maximal clause size : 4 ( 2 avg)
% 0.53/0.70 % Maximal term depth : 3 ( 1 avg)
% 0.53/0.70 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.53/0.70 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 0.53/0.70 % Number of variables : 50 ( 0 sgn)
% 0.53/0.70 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.53/0.70
% 0.53/0.70 % Comments :
% 0.53/0.70 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 0.53/0.70 %--------------------------------------------------------------------------
% 0.53/0.70 include('Axioms/FLD001-0.ax').
% 0.53/0.70 %--------------------------------------------------------------------------
% 0.53/0.70 cnf(a_is_defined,hypothesis,
% 0.53/0.70 defined(a) ).
% 0.53/0.70
% 0.53/0.70 cnf(b_is_defined,hypothesis,
% 0.53/0.70 defined(b) ).
% 0.53/0.70
% 0.53/0.70 cnf(c_is_defined,hypothesis,
% 0.53/0.70 defined(c) ).
% 0.53/0.70
% 0.53/0.70 cnf(less_or_equal_4,negated_conjecture,
% 0.53/0.70 less_or_equal(a,b) ).
% 0.53/0.70
% 0.53/0.70 cnf(b_equals_c_5,negated_conjecture,
% 0.53/0.70 equalish(b,c) ).
% 0.53/0.70
% 0.53/0.70 cnf(not_less_or_equal_6,negated_conjecture,
% 0.53/0.70 ~ less_or_equal(a,c) ).
% 0.53/0.70
% 0.53/0.70 %--------------------------------------------------------------------------
% 0.53/0.70 %-------------------------------------------
% 0.53/0.70 % Proof found
% 0.53/0.70 % SZS status Theorem for theBenchmark
% 0.53/0.70 % SZS output start Proof
% 0.53/0.70 %ClaNum:33(EqnAxiom:0)
% 0.53/0.70 %VarNum:128(SingletonVarNum:50)
% 0.53/0.70 %MaxLitNum:4
% 0.53/0.70 %MaxfuncDepth:2
% 0.53/0.70 %SharedTerms:14
% 0.53/0.70 %goalClause: 6 7 9
% 0.53/0.70 %singleGoalClaCount:3
% 0.53/0.70 [1]P1(a1)
% 0.53/0.70 [2]P1(a4)
% 0.53/0.70 [3]P1(a2)
% 0.53/0.70 [4]P1(a5)
% 0.53/0.70 [5]P1(a7)
% 0.53/0.70 [6]P2(a5,a7)
% 0.53/0.70 [7]P3(a2,a5)
% 0.53/0.70 [8]~P2(a1,a4)
% 0.53/0.70 [9]~P3(a2,a7)
% 0.53/0.70 [11]~P1(x111)+P2(x111,x111)
% 0.53/0.70 [10]~P1(x101)+P1(f6(x101))
% 0.53/0.70 [15]~P1(x151)+P2(f3(a1,x151),x151)
% 0.53/0.70 [16]~P1(x161)+P2(f9(a4,x161),x161)
% 0.53/0.70 [19]~P1(x191)+P2(f3(x191,f6(x191)),a1)
% 0.53/0.70 [13]~P2(x132,x131)+P2(x131,x132)
% 0.53/0.70 [12]~P1(x121)+P2(x121,a1)+P1(f8(x121))
% 0.53/0.70 [24]~P1(x241)+P2(x241,a1)+P2(f9(x241,f8(x241)),a4)
% 0.53/0.70 [21]~P3(x212,x211)+~P3(x211,x212)+P2(x211,x212)
% 0.53/0.70 [17]~P1(x172)+~P1(x171)+P1(f3(x171,x172))
% 0.53/0.70 [18]~P1(x182)+~P1(x181)+P1(f9(x181,x182))
% 0.53/0.70 [25]~P3(a1,x252)+~P3(a1,x251)+P3(a1,f9(x251,x252))
% 0.53/0.70 [26]~P1(x262)+~P1(x261)+P2(f3(x261,x262),f3(x262,x261))
% 0.53/0.70 [27]~P1(x272)+~P1(x271)+P2(f9(x271,x272),f9(x272,x271))
% 0.53/0.70 [20]~P2(x201,x203)+P2(x201,x202)+~P2(x203,x202)
% 0.53/0.70 [22]~P3(x223,x222)+P3(x221,x222)+~P2(x223,x221)
% 0.53/0.70 [23]~P3(x231,x233)+P3(x231,x232)+~P3(x233,x232)
% 0.53/0.70 [28]~P1(x282)+~P2(x281,x283)+P2(f3(x281,x282),f3(x283,x282))
% 0.53/0.70 [29]~P1(x292)+~P2(x291,x293)+P2(f9(x291,x292),f9(x293,x292))
% 0.53/0.70 [30]~P1(x302)+~P3(x301,x303)+P3(f3(x301,x302),f3(x303,x302))
% 0.53/0.70 [14]P3(x142,x141)+~P1(x141)+~P1(x142)+P3(x141,x142)
% 0.53/0.70 [31]~P1(x313)+~P1(x312)+~P1(x311)+P2(f3(x311,f3(x312,x313)),f3(f3(x311,x312),x313))
% 0.53/0.70 [32]~P1(x323)+~P1(x322)+~P1(x321)+P2(f9(x321,f9(x322,x323)),f9(f9(x321,x322),x323))
% 0.53/0.70 [33]~P1(x333)+~P1(x332)+~P1(x331)+P2(f3(f9(x331,x332),f9(x333,x332)),f9(f3(x331,x333),x332))
% 0.53/0.70 %EqnAxiom
% 0.53/0.70
% 0.53/0.70 %-------------------------------------------
% 0.53/0.70 cnf(36,plain,
% 0.53/0.70 (P3(a1,a1)),
% 0.53/0.70 inference(scs_inference,[],[1,8,13,14])).
% 0.53/0.70 cnf(38,plain,
% 0.53/0.70 (~P2(x381,a5)+P2(x381,a7)),
% 0.53/0.70 inference(scs_inference,[],[6,1,8,13,14,20])).
% 0.53/0.70 cnf(47,plain,
% 0.53/0.70 (P3(a4,a4)),
% 0.53/0.70 inference(scs_inference,[],[2,36,21,14])).
% 0.53/0.70 cnf(56,plain,
% 0.53/0.70 (P3(a2,a2)),
% 0.53/0.70 inference(scs_inference,[],[3,47,21,14])).
% 0.53/0.70 cnf(60,plain,
% 0.53/0.70 (P3(a5,a5)),
% 0.53/0.70 inference(scs_inference,[],[56,4,21,14])).
% 0.53/0.70 cnf(66,plain,
% 0.53/0.70 (P2(a5,a5)),
% 0.53/0.70 inference(scs_inference,[],[60,21])).
% 0.53/0.70 cnf(68,plain,
% 0.53/0.70 (P3(a7,a7)),
% 0.53/0.70 inference(scs_inference,[],[5,60,21,14])).
% 0.53/0.70 cnf(85,plain,
% 0.53/0.70 (P2(a7,a5)),
% 0.53/0.70 inference(scs_inference,[],[66,38,13])).
% 0.53/0.70 cnf(170,plain,
% 0.53/0.70 ($false),
% 0.53/0.71 inference(scs_inference,[],[68,7,9,85,22,23]),
% 0.53/0.71 ['proof']).
% 0.53/0.71 % SZS output end Proof
% 0.53/0.71 % Total time :0.090000s
%------------------------------------------------------------------------------