TSTP Solution File: FLD070-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD070-1 : 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 : 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 : Wed Aug 30 22:26:57 EDT 2023
% Result : Unsatisfiable 0.73s 0.82s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD070-1 : 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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 01:02:29 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.73/0.81 %-------------------------------------------
% 0.73/0.81 % File :CSE---1.6
% 0.73/0.81 % Problem :theBenchmark
% 0.73/0.81 % Transform :cnf
% 0.73/0.81 % Format :tptp:raw
% 0.73/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.73/0.81
% 0.73/0.81 % Result :Theorem 0.170000s
% 0.73/0.81 % Output :CNFRefutation 0.170000s
% 0.73/0.81 %-------------------------------------------
% 0.73/0.82 %--------------------------------------------------------------------------
% 0.73/0.82 % File : FLD070-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.73/0.82 % Domain : Field Theory (Ordered fields)
% 0.73/0.82 % Problem : One-sided addition of two order relations
% 0.73/0.82 % Version : [Dra93] axioms : Especial.
% 0.73/0.82 % Theorem formulation : Functional with glxx axiom set.
% 0.73/0.82 % English :
% 0.73/0.82
% 0.73/0.82 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.73/0.82 % Source : [Dra93]
% 0.73/0.82 % Names :
% 0.73/0.82
% 0.73/0.82 % Status : Unsatisfiable
% 0.73/0.82 % Rating : 0.00 v7.4.0, 0.17 v7.1.0, 0.33 v7.0.0, 0.25 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.20 v5.2.0, 0.00 v5.0.0, 0.29 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, 0.20 v2.3.0, 0.33 v2.2.1, 0.67 v2.1.0
% 0.73/0.82 % Syntax : Number of clauses : 32 ( 8 unt; 3 nHn; 32 RR)
% 0.73/0.82 % Number of literals : 78 ( 0 equ; 45 neg)
% 0.73/0.82 % Maximal clause size : 4 ( 2 avg)
% 0.73/0.82 % Maximal term depth : 3 ( 1 avg)
% 0.73/0.82 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.73/0.82 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.73/0.82 % Number of variables : 50 ( 0 sgn)
% 0.73/0.82 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.73/0.82
% 0.73/0.82 % Comments :
% 0.73/0.82 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 0.73/0.82 %--------------------------------------------------------------------------
% 0.73/0.82 include('Axioms/FLD001-0.ax').
% 0.73/0.82 %--------------------------------------------------------------------------
% 0.73/0.82 cnf(a_is_defined,hypothesis,
% 0.73/0.82 defined(a) ).
% 0.73/0.82
% 0.73/0.82 cnf(b_is_defined,hypothesis,
% 0.73/0.82 defined(b) ).
% 0.73/0.82
% 0.73/0.82 cnf(less_or_equal_3,negated_conjecture,
% 0.73/0.82 less_or_equal(additive_identity,a) ).
% 0.73/0.82
% 0.73/0.82 cnf(less_or_equal_4,negated_conjecture,
% 0.73/0.82 less_or_equal(additive_identity,b) ).
% 0.73/0.82
% 0.73/0.82 cnf(not_less_or_equal_5,negated_conjecture,
% 0.73/0.82 ~ less_or_equal(additive_identity,add(a,b)) ).
% 0.73/0.82
% 0.73/0.82 %--------------------------------------------------------------------------
% 0.73/0.82 %-------------------------------------------
% 0.73/0.82 % Proof found
% 0.73/0.82 % SZS status Theorem for theBenchmark
% 0.73/0.82 % SZS output start Proof
% 0.73/0.82 %ClaNum:32(EqnAxiom:0)
% 0.73/0.82 %VarNum:128(SingletonVarNum:50)
% 0.73/0.82 %MaxLitNum:4
% 0.73/0.82 %MaxfuncDepth:2
% 0.73/0.82 %SharedTerms:13
% 0.73/0.82 %goalClause: 5 6 8
% 0.73/0.82 %singleGoalClaCount:3
% 0.73/0.82 [1]P1(a1)
% 0.73/0.82 [2]P1(a4)
% 0.73/0.82 [3]P1(a2)
% 0.73/0.82 [4]P1(a5)
% 0.73/0.82 [5]P2(a1,a2)
% 0.73/0.82 [6]P2(a1,a5)
% 0.73/0.82 [7]~P3(a1,a4)
% 0.73/0.82 [8]~P2(a1,f3(a2,a5))
% 0.73/0.82 [10]~P1(x101)+P3(x101,x101)
% 0.73/0.82 [9]~P1(x91)+P1(f6(x91))
% 0.73/0.82 [14]~P1(x141)+P3(f3(a1,x141),x141)
% 0.73/0.82 [15]~P1(x151)+P3(f8(a4,x151),x151)
% 0.73/0.82 [18]~P1(x181)+P3(f3(x181,f6(x181)),a1)
% 0.73/0.82 [12]~P3(x122,x121)+P3(x121,x122)
% 0.73/0.82 [11]~P1(x111)+P3(x111,a1)+P1(f7(x111))
% 0.73/0.82 [23]~P1(x231)+P3(x231,a1)+P3(f8(x231,f7(x231)),a4)
% 0.73/0.82 [20]~P2(x202,x201)+~P2(x201,x202)+P3(x201,x202)
% 0.73/0.82 [16]~P1(x162)+~P1(x161)+P1(f3(x161,x162))
% 0.73/0.82 [17]~P1(x172)+~P1(x171)+P1(f8(x171,x172))
% 0.73/0.82 [24]~P2(a1,x242)+~P2(a1,x241)+P2(a1,f8(x241,x242))
% 0.73/0.82 [25]~P1(x252)+~P1(x251)+P3(f3(x251,x252),f3(x252,x251))
% 0.73/0.82 [26]~P1(x262)+~P1(x261)+P3(f8(x261,x262),f8(x262,x261))
% 0.73/0.82 [19]~P3(x191,x193)+P3(x191,x192)+~P3(x193,x192)
% 0.73/0.82 [21]~P2(x213,x212)+P2(x211,x212)+~P3(x213,x211)
% 0.73/0.82 [22]~P2(x221,x223)+P2(x221,x222)+~P2(x223,x222)
% 0.73/0.82 [27]~P1(x272)+~P3(x271,x273)+P3(f3(x271,x272),f3(x273,x272))
% 0.73/0.82 [28]~P1(x282)+~P3(x281,x283)+P3(f8(x281,x282),f8(x283,x282))
% 0.73/0.82 [29]~P1(x292)+~P2(x291,x293)+P2(f3(x291,x292),f3(x293,x292))
% 0.73/0.82 [13]P2(x132,x131)+~P1(x131)+~P1(x132)+P2(x131,x132)
% 0.73/0.82 [30]~P1(x303)+~P1(x302)+~P1(x301)+P3(f3(x301,f3(x302,x303)),f3(f3(x301,x302),x303))
% 0.73/0.82 [31]~P1(x313)+~P1(x312)+~P1(x311)+P3(f8(x311,f8(x312,x313)),f8(f8(x311,x312),x313))
% 0.73/0.82 [32]~P1(x323)+~P1(x322)+~P1(x321)+P3(f3(f8(x321,x322),f8(x323,x322)),f8(f3(x321,x323),x322))
% 0.73/0.82 %EqnAxiom
% 0.73/0.82
% 0.73/0.82 %-------------------------------------------
% 0.73/0.82 cnf(33,plain,
% 0.73/0.82 (~P3(a4,a1)),
% 0.73/0.82 inference(scs_inference,[],[7,12])).
% 0.73/0.82 cnf(34,plain,
% 0.73/0.82 (P2(a1,a1)),
% 0.73/0.82 inference(scs_inference,[],[1,7,12,13])).
% 0.73/0.82 cnf(37,plain,
% 0.73/0.82 (P3(f8(a4,a1),a1)),
% 0.73/0.82 inference(scs_inference,[],[1,7,12,13,10,15])).
% 0.73/0.82 cnf(39,plain,
% 0.73/0.82 (P3(f3(a1,a1),a1)),
% 0.73/0.82 inference(scs_inference,[],[1,7,12,13,10,15,14])).
% 0.73/0.82 cnf(57,plain,
% 0.73/0.82 (P2(f3(a1,a1),f3(a2,a1))),
% 0.73/0.82 inference(scs_inference,[],[5,1,2,7,8,12,13,10,15,14,9,18,22,20,24,17,16,11,29])).
% 0.73/0.82 cnf(61,plain,
% 0.73/0.82 (P3(f3(a1,a1),f3(a1,a1))),
% 0.73/0.82 inference(scs_inference,[],[5,1,2,7,8,12,13,10,15,14,9,18,22,20,24,17,16,11,29,28,27])).
% 0.73/0.82 cnf(67,plain,
% 0.73/0.82 (P3(f8(a4,f7(a4)),a4)),
% 0.73/0.82 inference(scs_inference,[],[5,1,2,7,8,12,13,10,15,14,9,18,22,20,24,17,16,11,29,28,27,26,25,23])).
% 0.73/0.82 cnf(73,plain,
% 0.73/0.82 (P3(f3(f8(a1,a1),f8(a1,a1)),f8(f3(a1,a1),a1))),
% 0.73/0.82 inference(scs_inference,[],[5,1,2,7,8,12,13,10,15,14,9,18,22,20,24,17,16,11,29,28,27,26,25,23,31,30,32])).
% 0.73/0.82 cnf(77,plain,
% 0.73/0.82 (~P3(a1,f8(a4,f7(a4)))),
% 0.73/0.82 inference(scs_inference,[],[5,1,2,7,8,12,13,10,15,14,9,18,22,20,24,17,16,11,29,28,27,26,25,23,31,30,32,21,19])).
% 0.73/0.82 cnf(79,plain,
% 0.73/0.82 (P3(f8(f3(a1,a1),a1),f3(f8(a1,a1),f8(a1,a1)))),
% 0.73/0.82 inference(scs_inference,[],[73,12])).
% 0.73/0.82 cnf(91,plain,
% 0.73/0.83 (P2(a1,f8(a5,a5))),
% 0.73/0.83 inference(scs_inference,[],[5,6,3,61,73,12,19,29,28,27,26,24])).
% 0.73/0.83 cnf(103,plain,
% 0.73/0.83 (P3(f3(f8(a2,a2),f8(a2,a2)),f8(f3(a2,a2),a2))),
% 0.73/0.83 inference(scs_inference,[],[5,6,3,61,73,12,19,29,28,27,26,24,17,16,25,31,30,32])).
% 0.73/0.83 cnf(121,plain,
% 0.73/0.83 (~P2(a5,f3(a2,a5))),
% 0.73/0.83 inference(scs_inference,[],[6,8,79,77,73,12,19,22])).
% 0.73/0.83 cnf(123,plain,
% 0.73/0.83 (P2(a1,f3(a2,a1))),
% 0.73/0.83 inference(scs_inference,[],[6,8,79,77,39,57,73,12,19,22,21])).
% 0.73/0.83 cnf(131,plain,
% 0.73/0.83 (P2(a5,a5)),
% 0.73/0.83 inference(scs_inference,[],[6,4,8,79,77,39,57,73,12,19,22,21,31,30,32,13])).
% 0.73/0.83 cnf(135,plain,
% 0.73/0.83 (P3(f8(f3(a2,a2),a2),f3(f8(a2,a2),f8(a2,a2)))),
% 0.73/0.83 inference(scs_inference,[],[103,12])).
% 0.73/0.83 cnf(151,plain,
% 0.73/0.83 (P3(f3(a4,f6(a4)),a1)),
% 0.73/0.83 inference(scs_inference,[],[2,135,103,19,9,18])).
% 0.73/0.83 cnf(155,plain,
% 0.73/0.83 (P3(f8(a4,a4),a4)),
% 0.73/0.83 inference(scs_inference,[],[2,135,103,19,9,18,10,15])).
% 0.73/0.83 cnf(157,plain,
% 0.73/0.83 (P3(f3(a1,a4),a4)),
% 0.73/0.83 inference(scs_inference,[],[2,135,103,19,9,18,10,15,14])).
% 0.73/0.83 cnf(181,plain,
% 0.73/0.83 (P2(f3(a1,a5),f3(a1,a5))),
% 0.73/0.83 inference(scs_inference,[],[8,33,34,4,131,151,24,20,19,21,26,29])).
% 0.73/0.83 cnf(183,plain,
% 0.73/0.83 (P1(f8(a5,a5))),
% 0.73/0.83 inference(scs_inference,[],[8,33,34,4,131,151,24,20,19,21,26,29,17])).
% 0.73/0.83 cnf(205,plain,
% 0.73/0.83 (P1(f8(a4,a4))),
% 0.73/0.83 inference(scs_inference,[],[1,34,2,183,29,26,17])).
% 0.73/0.83 cnf(207,plain,
% 0.73/0.83 (P1(f3(a4,a4))),
% 0.73/0.83 inference(scs_inference,[],[1,34,2,183,29,26,17,16])).
% 0.73/0.83 cnf(213,plain,
% 0.73/0.83 (P3(a4,f8(a4,f7(a4)))),
% 0.73/0.83 inference(scs_inference,[],[1,34,2,183,67,123,29,26,17,16,25,24,12])).
% 0.73/0.83 cnf(219,plain,
% 0.73/0.83 (~P3(a1,f3(a1,a4))),
% 0.73/0.83 inference(scs_inference,[],[1,34,7,2,183,67,123,181,157,8,29,26,17,16,25,24,12,20,22,19])).
% 0.73/0.83 cnf(239,plain,
% 0.73/0.83 (P3(f8(a4,a4),f8(a4,f7(a4)))),
% 0.73/0.83 inference(scs_inference,[],[213,155,219,12,19])).
% 0.73/0.83 cnf(263,plain,
% 0.73/0.83 (P3(f3(a1,a5),a5)),
% 0.73/0.83 inference(scs_inference,[],[37,33,4,205,91,24,16,12,19,9,14])).
% 0.73/0.83 cnf(301,plain,
% 0.73/0.83 (~P3(f3(a1,a1),a4)),
% 0.73/0.83 inference(scs_inference,[],[3,39,7,28,27,12,19])).
% 0.73/0.83 cnf(305,plain,
% 0.73/0.83 (P2(f3(a1,a2),f3(a1,a2))),
% 0.73/0.83 inference(scs_inference,[],[3,39,34,7,8,28,27,12,19,21,29])).
% 0.73/0.83 cnf(337,plain,
% 0.73/0.83 (~P2(f3(a1,a5),f3(a2,a5))),
% 0.73/0.83 inference(scs_inference,[],[3,239,305,207,263,301,77,121,29,26,17,25,16,12,20,19,21])).
% 0.73/0.83 cnf(349,plain,
% 0.73/0.83 ($false),
% 0.73/0.83 inference(scs_inference,[],[4,337,5,29]),
% 0.73/0.83 ['proof']).
% 0.73/0.83 % SZS output end Proof
% 0.73/0.83 % Total time :0.170000s
%------------------------------------------------------------------------------