TSTP Solution File: FLD071-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD071-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : Wed Aug 30 22:26:58 EDT 2023
% Result : Unsatisfiable 0.19s 0.64s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD071-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.34 % Computer : n008.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sun Aug 27 23:32:32 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.59 start to proof:theBenchmark
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % File :CSE---1.6
% 0.19/0.64 % Problem :theBenchmark
% 0.19/0.64 % Transform :cnf
% 0.19/0.64 % Format :tptp:raw
% 0.19/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.64
% 0.19/0.64 % Result :Theorem 0.000000s
% 0.19/0.64 % Output :CNFRefutation 0.000000s
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 % File : FLD071-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.19/0.64 % Domain : Field Theory (Ordered fields)
% 0.19/0.64 % Problem : One-sided multiplication of two order relations, part 1
% 0.19/0.64 % Version : [Dra93] axioms : Especial.
% 0.19/0.64 % Theorem formulation : Functional with glxx axiom set.
% 0.19/0.64 % English :
% 0.19/0.64
% 0.19/0.64 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.19/0.64 % Source : [Dra93]
% 0.19/0.64 % Names :
% 0.19/0.64
% 0.19/0.64 % Status : Unsatisfiable
% 0.19/0.64 % 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 v2.1.0
% 0.19/0.64 % Syntax : Number of clauses : 32 ( 8 unt; 3 nHn; 32 RR)
% 0.19/0.64 % Number of literals : 78 ( 0 equ; 45 neg)
% 0.19/0.64 % Maximal clause size : 4 ( 2 avg)
% 0.19/0.64 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.64 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.19/0.64 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.19/0.64 % Number of variables : 50 ( 0 sgn)
% 0.19/0.64 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.19/0.64
% 0.19/0.64 % Comments :
% 0.19/0.64 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 include('Axioms/FLD001-0.ax').
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 cnf(a_is_defined,hypothesis,
% 0.19/0.64 defined(a) ).
% 0.19/0.64
% 0.19/0.64 cnf(b_is_defined,hypothesis,
% 0.19/0.64 defined(b) ).
% 0.19/0.64
% 0.19/0.64 cnf(less_or_equal_3,negated_conjecture,
% 0.19/0.64 less_or_equal(additive_identity,a) ).
% 0.19/0.64
% 0.19/0.64 cnf(less_or_equal_4,negated_conjecture,
% 0.19/0.64 less_or_equal(additive_identity,b) ).
% 0.19/0.64
% 0.19/0.64 cnf(not_less_or_equal_5,negated_conjecture,
% 0.19/0.64 ~ less_or_equal(additive_identity,multiply(a,b)) ).
% 0.19/0.64
% 0.19/0.64 %--------------------------------------------------------------------------
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % Proof found
% 0.19/0.64 % SZS status Theorem for theBenchmark
% 0.19/0.64 % SZS output start Proof
% 0.19/0.64 %ClaNum:32(EqnAxiom:0)
% 0.19/0.64 %VarNum:128(SingletonVarNum:50)
% 0.19/0.64 %MaxLitNum:4
% 0.19/0.64 %MaxfuncDepth:2
% 0.19/0.64 %SharedTerms:13
% 0.19/0.64 %goalClause: 5 6 8
% 0.19/0.64 %singleGoalClaCount:3
% 0.19/0.64 [1]P1(a1)
% 0.19/0.64 [2]P1(a4)
% 0.19/0.64 [3]P1(a2)
% 0.19/0.64 [4]P1(a5)
% 0.19/0.64 [5]P2(a1,a2)
% 0.19/0.64 [6]P2(a1,a5)
% 0.19/0.64 [7]~P3(a1,a4)
% 0.19/0.64 [8]~P2(a1,f7(a2,a5))
% 0.19/0.64 [10]~P1(x101)+P3(x101,x101)
% 0.19/0.64 [9]~P1(x91)+P1(f6(x91))
% 0.19/0.64 [14]~P1(x141)+P3(f3(a1,x141),x141)
% 0.19/0.64 [15]~P1(x151)+P3(f7(a4,x151),x151)
% 0.19/0.64 [18]~P1(x181)+P3(f3(x181,f6(x181)),a1)
% 0.19/0.64 [12]~P3(x122,x121)+P3(x121,x122)
% 0.19/0.64 [11]~P1(x111)+P3(x111,a1)+P1(f8(x111))
% 0.19/0.64 [23]~P1(x231)+P3(x231,a1)+P3(f7(x231,f8(x231)),a4)
% 0.19/0.64 [20]~P2(x202,x201)+~P2(x201,x202)+P3(x201,x202)
% 0.19/0.64 [16]~P1(x162)+~P1(x161)+P1(f3(x161,x162))
% 0.19/0.64 [17]~P1(x172)+~P1(x171)+P1(f7(x171,x172))
% 0.19/0.64 [24]~P2(a1,x242)+~P2(a1,x241)+P2(a1,f7(x241,x242))
% 0.19/0.64 [25]~P1(x252)+~P1(x251)+P3(f3(x251,x252),f3(x252,x251))
% 0.19/0.64 [26]~P1(x262)+~P1(x261)+P3(f7(x261,x262),f7(x262,x261))
% 0.19/0.64 [19]~P3(x191,x193)+P3(x191,x192)+~P3(x193,x192)
% 0.19/0.64 [21]~P2(x213,x212)+P2(x211,x212)+~P3(x213,x211)
% 0.19/0.64 [22]~P2(x221,x223)+P2(x221,x222)+~P2(x223,x222)
% 0.19/0.64 [27]~P1(x272)+~P3(x271,x273)+P3(f3(x271,x272),f3(x273,x272))
% 0.19/0.64 [28]~P1(x282)+~P3(x281,x283)+P3(f7(x281,x282),f7(x283,x282))
% 0.19/0.64 [29]~P1(x292)+~P2(x291,x293)+P2(f3(x291,x292),f3(x293,x292))
% 0.19/0.64 [13]P2(x132,x131)+~P1(x131)+~P1(x132)+P2(x131,x132)
% 0.19/0.64 [30]~P1(x303)+~P1(x302)+~P1(x301)+P3(f3(x301,f3(x302,x303)),f3(f3(x301,x302),x303))
% 0.19/0.64 [31]~P1(x313)+~P1(x312)+~P1(x311)+P3(f7(x311,f7(x312,x313)),f7(f7(x311,x312),x313))
% 0.19/0.64 [32]~P1(x323)+~P1(x322)+~P1(x321)+P3(f3(f7(x321,x322),f7(x323,x322)),f7(f3(x321,x323),x322))
% 0.19/0.64 %EqnAxiom
% 0.19/0.64
% 0.19/0.64 %-------------------------------------------
% 0.19/0.65 cnf(34,plain,
% 0.19/0.65 ($false),
% 0.19/0.65 inference(scs_inference,[],[5,6,7,8,12,24]),
% 0.19/0.65 ['proof']).
% 0.19/0.65 % SZS output end Proof
% 0.19/0.65 % Total time :0.000000s
%------------------------------------------------------------------------------