%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD071-2 : 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 : n017.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 05:55:37 EDT 2024
% Result : Unsatisfiable 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : FLD071-2 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jun 19 11:41:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.19/0.49 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.7
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.62 % Transform :cnf
% 0.19/0.62 % Format :tptp:raw
% 0.19/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.62
% 0.19/0.62 % Result :Theorem 0.090000s
% 0.19/0.62 % Output :CNFRefutation 0.090000s
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 % File : FLD071-2 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.19/0.62 % Domain : Field Theory (Ordered fields)
% 0.19/0.62 % Problem : One-sided multiplication of two order relations, part 1
% 0.19/0.62 % Version : [Dra93] axioms : Especial.
% 0.19/0.62 % Theorem formulation : Relational with glxx axiom set.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.19/0.62 % Source : [Dra93]
% 0.19/0.62 % Names :
% 0.19/0.62
% 0.19/0.62 % Status : Unsatisfiable
% 0.19/0.62 % Rating : 0.00 v7.0.0, 0.25 v6.4.0, 0.12 v6.3.0, 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 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.2.1, 0.67 v2.1.0
% 0.19/0.62 % Syntax : Number of clauses : 34 ( 10 unt; 3 nHn; 34 RR)
% 0.19/0.62 % Number of literals : 80 ( 0 equ; 45 neg)
% 0.19/0.62 % Maximal clause size : 4 ( 2 avg)
% 0.19/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.62 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.19/0.62 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 0.19/0.62 % Number of variables : 50 ( 0 sgn)
% 0.19/0.62 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.19/0.62
% 0.19/0.62 % Comments :
% 0.19/0.62 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 include('Axioms/FLD001-0.ax').
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 cnf(a_is_defined,hypothesis,
% 0.19/0.62 defined(a) ).
% 0.19/0.62
% 0.19/0.62 cnf(b_is_defined,hypothesis,
% 0.19/0.62 defined(b) ).
% 0.19/0.62
% 0.19/0.62 cnf(u_is_defined,hypothesis,
% 0.19/0.62 defined(u) ).
% 0.19/0.62
% 0.19/0.62 cnf(less_or_equal_4,negated_conjecture,
% 0.19/0.62 less_or_equal(additive_identity,a) ).
% 0.19/0.62
% 0.19/0.62 cnf(less_or_equal_5,negated_conjecture,
% 0.19/0.62 less_or_equal(additive_identity,b) ).
% 0.19/0.62
% 0.19/0.62 cnf(multiply_equals_u_6,negated_conjecture,
% 0.19/0.62 equalish(multiply(a,b),u) ).
% 0.19/0.62
% 0.19/0.62 cnf(not_less_or_equal_7,negated_conjecture,
% 0.19/0.62 ~ less_or_equal(additive_identity,u) ).
% 0.19/0.62
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:34(EqnAxiom:0)
% 0.19/0.62 %VarNum:128(SingletonVarNum:50)
% 0.19/0.62 %MaxLitNum:4
% 0.19/0.62 %MaxfuncDepth:2
% 0.19/0.62 %SharedTerms:16
% 0.19/0.62 %goalClause: 6 7 8 10
% 0.19/0.62 %singleGoalClaCount:4
% 0.19/0.62 [1]P1(a1)
% 0.19/0.62 [2]P1(a4)
% 0.19/0.62 [3]P1(a2)
% 0.19/0.62 [4]P1(a5)
% 0.19/0.62 [5]P1(a7)
% 0.19/0.62 [6]P2(a1,a2)
% 0.19/0.62 [7]P2(a1,a5)
% 0.19/0.62 [9]~P3(a1,a4)
% 0.19/0.62 [10]~P2(a1,a7)
% 0.19/0.62 [8]P3(f8(a2,a5),a7)
% 0.19/0.62 [12]~P1(x121)+P3(x121,x121)
% 0.19/0.62 [11]~P1(x111)+P1(f6(x111))
% 0.19/0.62 [16]~P1(x161)+P3(f3(a1,x161),x161)
% 0.19/0.62 [17]~P1(x171)+P3(f8(a4,x171),x171)
% 0.19/0.62 [20]~P1(x201)+P3(f3(x201,f6(x201)),a1)
% 0.19/0.62 [14]~P3(x142,x141)+P3(x141,x142)
% 0.19/0.62 [13]~P1(x131)+P3(x131,a1)+P1(f9(x131))
% 0.19/0.62 [25]~P1(x251)+P3(x251,a1)+P3(f8(x251,f9(x251)),a4)
% 0.19/0.62 [22]~P2(x222,x221)+~P2(x221,x222)+P3(x221,x222)
% 0.19/0.62 [18]~P1(x182)+~P1(x181)+P1(f3(x181,x182))
% 0.19/0.62 [19]~P1(x192)+~P1(x191)+P1(f8(x191,x192))
% 0.19/0.62 [26]~P2(a1,x262)+~P2(a1,x261)+P2(a1,f8(x261,x262))
% 0.19/0.62 [27]~P1(x272)+~P1(x271)+P3(f3(x271,x272),f3(x272,x271))
% 0.19/0.62 [28]~P1(x282)+~P1(x281)+P3(f8(x281,x282),f8(x282,x281))
% 0.19/0.62 [21]~P3(x211,x213)+P3(x211,x212)+~P3(x213,x212)
% 0.19/0.62 [23]~P2(x233,x232)+P2(x231,x232)+~P3(x233,x231)
% 0.19/0.62 [24]~P2(x241,x243)+P2(x241,x242)+~P2(x243,x242)
% 0.19/0.62 [29]~P1(x292)+~P3(x291,x293)+P3(f3(x291,x292),f3(x293,x292))
% 0.19/0.62 [30]~P1(x302)+~P3(x301,x303)+P3(f8(x301,x302),f8(x303,x302))
% 0.19/0.62 [31]~P1(x312)+~P2(x311,x313)+P2(f3(x311,x312),f3(x313,x312))
% 0.19/0.62 [15]P2(x152,x151)+~P1(x151)+~P1(x152)+P2(x151,x152)
% 0.19/0.62 [32]~P1(x323)+~P1(x322)+~P1(x321)+P3(f3(x321,f3(x322,x323)),f3(f3(x321,x322),x323))
% 0.19/0.62 [33]~P1(x333)+~P1(x332)+~P1(x331)+P3(f8(x331,f8(x332,x333)),f8(f8(x331,x332),x333))
% 0.19/0.62 [34]~P1(x343)+~P1(x342)+~P1(x341)+P3(f3(f8(x341,x342),f8(x343,x342)),f8(f3(x341,x343),x342))
% 0.19/0.62 %EqnAxiom
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.63 cnf(37,plain,
% 0.19/0.63 (P2(a1,a1)),
% 0.19/0.63 inference(scs_inference,[],[1,9,14,15])).
% 0.19/0.63 cnf(46,plain,
% 0.19/0.63 (P2(a4,a4)),
% 0.19/0.63 inference(scs_inference,[],[2,37,22,15])).
% 0.19/0.63 cnf(50,plain,
% 0.19/0.63 (~P3(x501,f8(a2,a5))+P3(x501,a7)),
% 0.19/0.63 inference(scs_inference,[],[8,2,37,22,15,23,21])).
% 0.19/0.63 cnf(54,plain,
% 0.19/0.63 (P2(a2,a2)),
% 0.19/0.63 inference(scs_inference,[],[3,46,22,15])).
% 0.19/0.63 cnf(58,plain,
% 0.19/0.63 (P2(a5,a5)),
% 0.19/0.63 inference(scs_inference,[],[54,4,22,15])).
% 0.19/0.63 cnf(62,plain,
% 0.19/0.63 (P2(a7,a7)),
% 0.19/0.63 inference(scs_inference,[],[58,5,22,15])).
% 0.19/0.63 cnf(108,plain,
% 0.19/0.63 (P3(f8(a5,a2),a7)),
% 0.19/0.63 inference(scs_inference,[],[3,4,50,28])).
% 0.19/0.63 cnf(111,plain,
% 0.19/0.63 (~P3(x1111,f8(a5,a2))+P3(x1111,a7)),
% 0.19/0.63 inference(scs_inference,[],[108,23,21])).
% 0.19/0.63 cnf(115,plain,
% 0.19/0.63 (P3(a7,x1151)+~P3(x1151,f8(a5,a2))),
% 0.19/0.63 inference(scs_inference,[],[111,14])).
% 0.19/0.63 cnf(118,plain,
% 0.19/0.63 (P3(a7,f8(a2,a5))),
% 0.19/0.63 inference(scs_inference,[],[4,3,115,28])).
% 0.19/0.63 cnf(125,plain,
% 0.19/0.63 ($false),
% 0.19/0.63 inference(scs_inference,[],[8,6,7,10,62,118,23,21,24,26]),
% 0.19/0.63 ['proof']).
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time :0.090000s
%------------------------------------------------------------------------------