%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD070-3 : 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 : n003.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 05:55:36 EDT 2024
% Result : Unsatisfiable 31.79s 31.85s
% Output : CNFRefutation 31.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD070-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n003.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 11:11:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 31.79/31.84 %-------------------------------------------
% 31.79/31.84 % File :CSE---1.7
% 31.79/31.84 % Problem :theBenchmark
% 31.79/31.84 % Transform :cnf
% 31.79/31.84 % Format :tptp:raw
% 31.79/31.84 % Command :java -jar mcs_scs.jar %d %s
% 31.79/31.84
% 31.79/31.84 % Result :Theorem 31.240000s
% 31.79/31.84 % Output :CNFRefutation 31.240000s
% 31.79/31.84 %-------------------------------------------
% 31.79/31.84 %--------------------------------------------------------------------------
% 31.79/31.84 % File : FLD070-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 31.79/31.84 % Domain : Field Theory (Ordered fields)
% 31.79/31.84 % Problem : One-sided addition of two order relations
% 31.79/31.84 % Version : [Dra93] axioms : Especial.
% 31.79/31.84 % Theorem formulation : Functional with re axiom set.
% 31.79/31.84 % English :
% 31.79/31.84
% 31.79/31.84 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 31.79/31.84 % Source : [Dra93]
% 31.79/31.84 % Names :
% 31.79/31.84
% 31.79/31.84 % Status : Unsatisfiable
% 31.79/31.84 % Rating : 0.00 v7.4.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 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 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 31.79/31.85 % Syntax : Number of clauses : 31 ( 8 unt; 3 nHn; 31 RR)
% 31.79/31.85 % Number of literals : 82 ( 0 equ; 50 neg)
% 31.79/31.85 % Maximal clause size : 5 ( 2 avg)
% 31.79/31.85 % Maximal term depth : 2 ( 1 avg)
% 31.79/31.85 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 31.79/31.85 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 31.79/31.85 % Number of variables : 73 ( 0 sgn)
% 31.79/31.85 % SPC : CNF_UNS_RFO_NEQ_NHN
% 31.79/31.85
% 31.79/31.85 % Comments :
% 31.79/31.85 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 31.79/31.85 %--------------------------------------------------------------------------
% 31.79/31.85 include('Axioms/FLD002-0.ax').
% 31.79/31.85 %--------------------------------------------------------------------------
% 31.79/31.85 cnf(a_is_defined,hypothesis,
% 31.79/31.85 defined(a) ).
% 31.79/31.85
% 31.79/31.85 cnf(b_is_defined,hypothesis,
% 31.79/31.85 defined(b) ).
% 31.79/31.85
% 31.79/31.85 cnf(less_or_equal_3,negated_conjecture,
% 31.79/31.85 less_or_equal(additive_identity,a) ).
% 31.79/31.85
% 31.79/31.85 cnf(less_or_equal_4,negated_conjecture,
% 31.79/31.85 less_or_equal(additive_identity,b) ).
% 31.79/31.85
% 31.79/31.85 cnf(not_less_or_equal_5,negated_conjecture,
% 31.79/31.85 ~ less_or_equal(additive_identity,add(a,b)) ).
% 31.79/31.85
% 31.79/31.85 %--------------------------------------------------------------------------
% 31.79/31.85 %-------------------------------------------
% 31.79/31.85 % Proof found
% 31.79/31.85 % SZS status Theorem for theBenchmark
% 31.79/31.85 % SZS output start Proof
% 31.79/31.85 %ClaNum:31(EqnAxiom:0)
% 31.79/31.85 %VarNum:162(SingletonVarNum:73)
% 31.79/31.85 %MaxLitNum:5
% 31.79/31.85 %MaxfuncDepth:1
% 31.79/31.85 %SharedTerms:13
% 31.79/31.85 %goalClause: 5 6 7
% 31.79/31.85 %singleGoalClaCount:3
% 31.79/31.85 [1]P1(a1)
% 31.79/31.85 [2]P1(a4)
% 31.79/31.85 [3]P1(a2)
% 31.79/31.85 [4]P1(a5)
% 31.79/31.85 [5]P2(a1,a2)
% 31.79/31.85 [6]P2(a1,a5)
% 31.79/31.85 [8]~P3(a1,a1,a4)
% 31.79/31.85 [7]~P2(a1,f3(a2,a5))
% 31.79/31.85 [14]~P1(x141)+P3(a1,x141,x141)
% 31.79/31.85 [15]~P1(x151)+P4(a4,x151,x151)
% 31.79/31.85 [9]~P1(x91)+P1(f6(x91))
% 31.79/31.85 [16]~P1(x161)+P3(f6(x161),x161,a1)
% 31.79/31.85 [23]~P3(x232,x231,x233)+P3(x231,x232,x233)
% 31.79/31.85 [24]~P4(x242,x241,x243)+P4(x241,x242,x243)
% 31.79/31.85 [17]~P1(x171)+P3(a1,x171,a1)+P1(f8(x171))
% 31.79/31.85 [21]~P1(x211)+P4(f8(x211),x211,a4)+P3(a1,x211,a1)
% 31.79/31.85 [20]~P2(x202,x201)+~P2(x201,x202)+P3(a1,x201,x202)
% 31.79/31.85 [11]~P1(x112)+~P1(x111)+P1(f3(x111,x112))
% 31.79/31.85 [12]~P1(x122)+~P1(x121)+P1(f7(x121,x122))
% 31.79/31.85 [18]~P1(x182)+~P1(x181)+P3(x181,x182,f3(x181,x182))
% 31.79/31.85 [19]~P1(x192)+~P1(x191)+P4(x191,x192,f7(x191,x192))
% 31.79/31.85 [13]~P2(x131,x133)+P2(x131,x132)+~P2(x133,x132)
% 31.79/31.85 [10]P2(x102,x101)+~P1(x101)+~P1(x102)+P2(x101,x102)
% 31.79/31.85 [22]~P4(x223,x222,x221)+P2(a1,x221)+~P2(a1,x222)+~P2(a1,x223)
% 31.79/31.85 [25]~P3(x253,x255,x251)+P2(x251,x252)+~P3(x254,x255,x252)+~P2(x253,x254)
% 31.79/31.85 [26]~P3(x261,x266,x264)+P3(x261,x262,x263)+~P3(x264,x265,x263)+~P3(x266,x265,x262)
% 31.79/31.85 [27]~P3(x276,x274,x271)+P3(x271,x272,x273)+~P3(x274,x272,x275)+~P3(x276,x275,x273)
% 31.79/31.85 [28]~P4(x281,x286,x284)+P4(x281,x282,x283)+~P4(x284,x285,x283)+~P4(x286,x285,x282)
% 31.79/31.85 [29]~P4(x296,x294,x291)+P4(x291,x292,x293)+~P4(x294,x292,x295)+~P4(x296,x295,x293)
% 31.79/31.85 [30]~P4(x305,x307,x302)+~P4(x304,x307,x301)+P3(x301,x302,x303)+~P3(x304,x305,x306)+~P4(x306,x307,x303)
% 31.79/31.85 [31]~P4(x317,x312,x315)+~P4(x316,x312,x314)+P4(x311,x312,x313)+~P3(x314,x315,x313)+~P3(x316,x317,x311)
% 31.79/31.85 %EqnAxiom
% 31.79/31.85
% 31.79/31.85 %-------------------------------------------
% 31.79/31.86 cnf(38,plain,
% 31.79/31.86 (~P3(a1,x381,a1)+~P3(a2,x381,f3(a2,a5))),
% 31.79/31.86 inference(scs_inference,[],[5,7,1,8,10,22,20,25])).
% 31.79/31.86 cnf(83,plain,
% 31.79/31.86 (P3(f6(f6(a1)),f6(a1),a1)),
% 31.79/31.86 inference(scs_inference,[],[1,16,9])).
% 31.79/31.86 cnf(92,plain,
% 31.79/31.86 (P3(a1,x921,a1)+~P3(f6(a1),x921,f6(a1))),
% 31.79/31.86 inference(scs_inference,[],[83,27])).
% 31.79/31.86 cnf(115,plain,
% 31.79/31.86 (~P3(a1,a5,a1)),
% 31.79/31.86 inference(scs_inference,[],[4,3,38,18])).
% 31.79/31.86 cnf(120,plain,
% 31.79/31.86 (~P2(a5,a1)),
% 31.79/31.86 inference(scs_inference,[],[6,115,92,23,20])).
% 31.79/31.86 cnf(3648,plain,
% 31.79/31.86 (~P1(f3(a2,a5))+~P2(a5,f3(a2,a5))),
% 31.79/31.86 inference(scs_inference,[],[7,120,1,10,13])).
% 31.79/31.86 cnf(3745,plain,
% 31.79/31.86 (~P3(a1,x37451,a5)+~P3(a2,x37451,f3(a2,a5))+~P1(f3(a2,a5))),
% 31.79/31.86 inference(scs_inference,[],[5,3648,25])).
% 31.79/31.86 cnf(6722,plain,
% 31.79/31.86 (~P1(f3(a2,a5))+~P3(a1,a5,a5)),
% 31.79/31.86 inference(scs_inference,[],[4,3,3745,18])).
% 31.79/31.86 cnf(6738,plain,
% 31.79/31.86 (~P3(a1,a5,a5)),
% 31.79/31.86 inference(scs_inference,[],[4,3,6722,11])).
% 31.79/31.86 cnf(6741,plain,
% 31.79/31.86 ($false),
% 31.79/31.86 inference(scs_inference,[],[6738,4,23,14]),
% 31.79/31.86 ['proof']).
% 31.79/31.86 % SZS output end Proof
% 31.79/31.86 % Total time :31.240000s
%------------------------------------------------------------------------------