%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD071-4 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 0.54s 0.63s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD071-4 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 09:54:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.54/0.59 start to proof:theBenchmark
% 0.54/0.62 %-------------------------------------------
% 0.54/0.62 % File :CSE---1.7
% 0.54/0.62 % Problem :theBenchmark
% 0.54/0.62 % Transform :cnf
% 0.54/0.62 % Format :tptp:raw
% 0.54/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.62
% 0.54/0.62 % Result :Theorem 0.000000s
% 0.54/0.62 % Output :CNFRefutation 0.000000s
% 0.54/0.62 %-------------------------------------------
% 0.54/0.62 %--------------------------------------------------------------------------
% 0.54/0.62 % File : FLD071-4 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.54/0.63 % Domain : Field Theory (Ordered fields)
% 0.54/0.63 % Problem : One-sided multiplication of two order relations, part 1
% 0.54/0.63 % Version : [Dra93] axioms : Especial.
% 0.54/0.63 % Theorem formulation : Relational with re axiom set.
% 0.54/0.63 % English :
% 0.54/0.63
% 0.54/0.63 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.54/0.63 % Source : [Dra93]
% 0.54/0.63 % Names :
% 0.54/0.63
% 0.54/0.63 % Status : Unsatisfiable
% 0.54/0.63 % Rating : 0.00 v2.1.0
% 0.54/0.63 % Syntax : Number of clauses : 33 ( 10 unt; 3 nHn; 33 RR)
% 0.54/0.63 % Number of literals : 84 ( 0 equ; 50 neg)
% 0.54/0.63 % Maximal clause size : 5 ( 2 avg)
% 0.54/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.54/0.63 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.54/0.63 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 0.54/0.63 % Number of variables : 73 ( 0 sgn)
% 0.54/0.63 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.54/0.63
% 0.54/0.63 % Comments :
% 0.54/0.63 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.54/0.63 %--------------------------------------------------------------------------
% 0.54/0.63 include('Axioms/FLD002-0.ax').
% 0.54/0.63 %--------------------------------------------------------------------------
% 0.54/0.63 cnf(a_is_defined,hypothesis,
% 0.54/0.63 defined(a) ).
% 0.54/0.63
% 0.54/0.63 cnf(b_is_defined,hypothesis,
% 0.54/0.63 defined(b) ).
% 0.54/0.63
% 0.54/0.63 cnf(u_is_defined,hypothesis,
% 0.54/0.63 defined(u) ).
% 0.54/0.63
% 0.54/0.63 cnf(less_or_equal_4,negated_conjecture,
% 0.54/0.63 less_or_equal(additive_identity,a) ).
% 0.54/0.63
% 0.54/0.63 cnf(less_or_equal_5,negated_conjecture,
% 0.54/0.63 less_or_equal(additive_identity,b) ).
% 0.54/0.63
% 0.54/0.63 cnf(product_6,negated_conjecture,
% 0.54/0.63 product(a,b,u) ).
% 0.54/0.63
% 0.54/0.63 cnf(not_less_or_equal_7,negated_conjecture,
% 0.54/0.63 ~ less_or_equal(additive_identity,u) ).
% 0.54/0.63
% 0.54/0.63 %--------------------------------------------------------------------------
% 0.54/0.63 %-------------------------------------------
% 0.54/0.63 % Proof found
% 0.54/0.63 % SZS status Theorem for theBenchmark
% 0.54/0.63 % SZS output start Proof
% 0.54/0.63 %ClaNum:33(EqnAxiom:0)
% 0.54/0.63 %VarNum:162(SingletonVarNum:73)
% 0.54/0.63 %MaxLitNum:5
% 0.54/0.63 %MaxfuncDepth:1
% 0.54/0.63 %SharedTerms:15
% 0.54/0.63 %goalClause: 6 7 8 9
% 0.54/0.63 %singleGoalClaCount:4
% 0.54/0.63 [1]P1(a1)
% 0.54/0.63 [2]P1(a4)
% 0.54/0.63 [3]P1(a2)
% 0.54/0.63 [4]P1(a5)
% 0.54/0.63 [5]P1(a7)
% 0.54/0.63 [6]P2(a1,a2)
% 0.54/0.63 [7]P2(a1,a5)
% 0.54/0.63 [8]P3(a2,a5,a7)
% 0.54/0.63 [9]~P2(a1,a7)
% 0.54/0.63 [10]~P4(a1,a1,a4)
% 0.54/0.63 [16]~P1(x161)+P4(a1,x161,x161)
% 0.54/0.63 [17]~P1(x171)+P3(a4,x171,x171)
% 0.54/0.63 [11]~P1(x111)+P1(f6(x111))
% 0.54/0.63 [18]~P1(x181)+P4(f6(x181),x181,a1)
% 0.54/0.63 [25]~P4(x252,x251,x253)+P4(x251,x252,x253)
% 0.54/0.63 [26]~P3(x262,x261,x263)+P3(x261,x262,x263)
% 0.54/0.63 [19]~P1(x191)+P4(a1,x191,a1)+P1(f9(x191))
% 0.54/0.63 [23]~P1(x231)+P3(f9(x231),x231,a4)+P4(a1,x231,a1)
% 0.54/0.63 [22]~P2(x222,x221)+~P2(x221,x222)+P4(a1,x221,x222)
% 0.54/0.63 [13]~P1(x132)+~P1(x131)+P1(f3(x131,x132))
% 0.54/0.63 [14]~P1(x142)+~P1(x141)+P1(f8(x141,x142))
% 0.54/0.63 [20]~P1(x202)+~P1(x201)+P4(x201,x202,f3(x201,x202))
% 0.54/0.63 [21]~P1(x212)+~P1(x211)+P3(x211,x212,f8(x211,x212))
% 0.54/0.63 [15]~P2(x151,x153)+P2(x151,x152)+~P2(x153,x152)
% 0.54/0.63 [12]P2(x122,x121)+~P1(x121)+~P1(x122)+P2(x121,x122)
% 0.54/0.63 [24]~P3(x243,x242,x241)+P2(a1,x241)+~P2(a1,x242)+~P2(a1,x243)
% 0.54/0.63 [27]~P4(x273,x275,x271)+P2(x271,x272)+~P4(x274,x275,x272)+~P2(x273,x274)
% 0.54/0.63 [28]~P4(x281,x286,x284)+P4(x281,x282,x283)+~P4(x284,x285,x283)+~P4(x286,x285,x282)
% 0.54/0.63 [29]~P4(x296,x294,x291)+P4(x291,x292,x293)+~P4(x294,x292,x295)+~P4(x296,x295,x293)
% 0.54/0.63 [30]~P3(x301,x306,x304)+P3(x301,x302,x303)+~P3(x304,x305,x303)+~P3(x306,x305,x302)
% 0.54/0.63 [31]~P3(x316,x314,x311)+P3(x311,x312,x313)+~P3(x314,x312,x315)+~P3(x316,x315,x313)
% 0.54/0.63 [32]~P3(x325,x327,x322)+~P3(x324,x327,x321)+P4(x321,x322,x323)+~P4(x324,x325,x326)+~P3(x326,x327,x323)
% 0.54/0.63 [33]~P3(x337,x332,x335)+~P3(x336,x332,x334)+P3(x331,x332,x333)+~P4(x334,x335,x333)+~P4(x336,x337,x331)
% 0.54/0.63 %EqnAxiom
% 0.54/0.63
% 0.54/0.63 %-------------------------------------------
% 0.54/0.63 cnf(34,plain,
% 0.54/0.63 ($false),
% 0.54/0.63 inference(scs_inference,[],[8,9,7,6,24]),
% 0.54/0.63 ['proof']).
% 0.54/0.63 % SZS output end Proof
% 0.54/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------