TSTP Solution File: FLD059-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD059-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n024.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 22:26:52 EDT 2023
% Result : Unsatisfiable 1.02s 1.08s
% Output : CNFRefutation 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD059-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n024.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 : Sun Aug 27 23:17:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 1.02/1.08 %-------------------------------------------
% 1.02/1.08 % File :CSE---1.6
% 1.02/1.08 % Problem :theBenchmark
% 1.02/1.08 % Transform :cnf
% 1.02/1.08 % Format :tptp:raw
% 1.02/1.08 % Command :java -jar mcs_scs.jar %d %s
% 1.02/1.08
% 1.02/1.08 % Result :Theorem 0.470000s
% 1.02/1.08 % Output :CNFRefutation 0.470000s
% 1.02/1.08 %-------------------------------------------
% 1.02/1.08 %--------------------------------------------------------------------------
% 1.02/1.08 % File : FLD059-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.02/1.08 % Domain : Field Theory (Ordered fields)
% 1.02/1.08 % Problem : If a greater or equal 0, then 2a greater or equal 0
% 1.02/1.08 % Version : [Dra93] axioms : Especial.
% 1.02/1.08 % Theorem formulation : Relational with glxx axiom set.
% 1.02/1.08 % English :
% 1.02/1.08
% 1.02/1.08 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 1.02/1.08 % Source : [Dra93]
% 1.02/1.08 % Names :
% 1.02/1.08
% 1.02/1.08 % Status : Unsatisfiable
% 1.02/1.08 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.4.0, 0.25 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.21 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.20 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 1.02/1.08 % Syntax : Number of clauses : 32 ( 8 unt; 3 nHn; 32 RR)
% 1.02/1.08 % Number of literals : 78 ( 0 equ; 45 neg)
% 1.02/1.08 % Maximal clause size : 4 ( 2 avg)
% 1.02/1.08 % Maximal term depth : 3 ( 1 avg)
% 1.02/1.08 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 1.02/1.08 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 1.02/1.08 % Number of variables : 50 ( 0 sgn)
% 1.02/1.08 % SPC : CNF_UNS_RFO_NEQ_NHN
% 1.02/1.08
% 1.02/1.08 % Comments :
% 1.02/1.08 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 1.02/1.08 %--------------------------------------------------------------------------
% 1.02/1.08 include('Axioms/FLD001-0.ax').
% 1.02/1.08 %--------------------------------------------------------------------------
% 1.02/1.08 cnf(a_is_defined,hypothesis,
% 1.02/1.08 defined(a) ).
% 1.02/1.08
% 1.02/1.08 cnf(u_is_defined,hypothesis,
% 1.02/1.08 defined(u) ).
% 1.02/1.08
% 1.02/1.08 cnf(less_or_equal_3,negated_conjecture,
% 1.02/1.08 less_or_equal(additive_identity,a) ).
% 1.02/1.08
% 1.02/1.08 cnf(add_equals_u_4,negated_conjecture,
% 1.02/1.08 equalish(add(a,a),u) ).
% 1.02/1.08
% 1.02/1.08 cnf(not_less_or_equal_5,negated_conjecture,
% 1.02/1.08 ~ less_or_equal(additive_identity,u) ).
% 1.02/1.08
% 1.02/1.08 %--------------------------------------------------------------------------
% 1.02/1.08 %-------------------------------------------
% 1.02/1.08 % Proof found
% 1.02/1.08 % SZS status Theorem for theBenchmark
% 1.02/1.08 % SZS output start Proof
% 1.02/1.08 %ClaNum:32(EqnAxiom:0)
% 1.02/1.08 %VarNum:128(SingletonVarNum:50)
% 1.02/1.08 %MaxLitNum:4
% 1.02/1.08 %MaxfuncDepth:2
% 1.02/1.08 %SharedTerms:13
% 1.02/1.08 %goalClause: 5 6 8
% 1.02/1.08 %singleGoalClaCount:3
% 1.02/1.08 [1]P1(a1)
% 1.02/1.08 [2]P1(a4)
% 1.02/1.08 [3]P1(a2)
% 1.02/1.08 [4]P1(a6)
% 1.02/1.08 [5]P2(a1,a2)
% 1.02/1.08 [7]~P3(a1,a4)
% 1.02/1.08 [8]~P2(a1,a6)
% 1.02/1.08 [6]P3(f3(a2,a2),a6)
% 1.02/1.08 [10]~P1(x101)+P3(x101,x101)
% 1.02/1.08 [9]~P1(x91)+P1(f5(x91))
% 1.02/1.08 [14]~P1(x141)+P3(f3(a1,x141),x141)
% 1.02/1.08 [15]~P1(x151)+P3(f8(a4,x151),x151)
% 1.02/1.08 [18]~P1(x181)+P3(f3(x181,f5(x181)),a1)
% 1.02/1.08 [12]~P3(x122,x121)+P3(x121,x122)
% 1.02/1.08 [11]~P1(x111)+P3(x111,a1)+P1(f7(x111))
% 1.02/1.09 [23]~P1(x231)+P3(x231,a1)+P3(f8(x231,f7(x231)),a4)
% 1.02/1.09 [20]~P2(x202,x201)+~P2(x201,x202)+P3(x201,x202)
% 1.02/1.09 [16]~P1(x162)+~P1(x161)+P1(f3(x161,x162))
% 1.02/1.09 [17]~P1(x172)+~P1(x171)+P1(f8(x171,x172))
% 1.02/1.09 [24]~P2(a1,x242)+~P2(a1,x241)+P2(a1,f8(x241,x242))
% 1.02/1.09 [25]~P1(x252)+~P1(x251)+P3(f3(x251,x252),f3(x252,x251))
% 1.02/1.09 [26]~P1(x262)+~P1(x261)+P3(f8(x261,x262),f8(x262,x261))
% 1.02/1.09 [19]~P3(x191,x193)+P3(x191,x192)+~P3(x193,x192)
% 1.02/1.09 [21]~P2(x213,x212)+P2(x211,x212)+~P3(x213,x211)
% 1.02/1.09 [22]~P2(x221,x223)+P2(x221,x222)+~P2(x223,x222)
% 1.02/1.09 [27]~P1(x272)+~P3(x271,x273)+P3(f3(x271,x272),f3(x273,x272))
% 1.02/1.09 [28]~P1(x282)+~P3(x281,x283)+P3(f8(x281,x282),f8(x283,x282))
% 1.02/1.09 [29]~P1(x292)+~P2(x291,x293)+P2(f3(x291,x292),f3(x293,x292))
% 1.02/1.09 [13]P2(x132,x131)+~P1(x131)+~P1(x132)+P2(x131,x132)
% 1.02/1.09 [30]~P1(x303)+~P1(x302)+~P1(x301)+P3(f3(x301,f3(x302,x303)),f3(f3(x301,x302),x303))
% 1.02/1.09 [31]~P1(x313)+~P1(x312)+~P1(x311)+P3(f8(x311,f8(x312,x313)),f8(f8(x311,x312),x313))
% 1.02/1.09 [32]~P1(x323)+~P1(x322)+~P1(x321)+P3(f3(f8(x321,x322),f8(x323,x322)),f8(f3(x321,x323),x322))
% 1.02/1.09 %EqnAxiom
% 1.02/1.09
% 1.02/1.09 %-------------------------------------------
% 1.02/1.09 cnf(34,plain,
% 1.02/1.09 (P2(a1,a1)),
% 1.02/1.09 inference(scs_inference,[],[1,7,12,13])).
% 1.02/1.09 cnf(37,plain,
% 1.02/1.09 (P3(f8(a4,a1),a1)),
% 1.02/1.09 inference(scs_inference,[],[1,7,12,13,10,15])).
% 1.02/1.09 cnf(39,plain,
% 1.02/1.09 (P3(f3(a1,a1),a1)),
% 1.02/1.09 inference(scs_inference,[],[1,7,12,13,10,15,14])).
% 1.02/1.09 cnf(43,plain,
% 1.02/1.09 (P3(f3(a1,f5(a1)),a1)),
% 1.02/1.09 inference(scs_inference,[],[1,7,12,13,10,15,14,9,18])).
% 1.02/1.09 cnf(45,plain,
% 1.02/1.09 (~P2(a2,a6)),
% 1.02/1.09 inference(scs_inference,[],[5,8,1,7,12,13,10,15,14,9,18,22])).
% 1.02/1.09 cnf(49,plain,
% 1.02/1.09 (P2(a1,f8(a2,a2))),
% 1.02/1.09 inference(scs_inference,[],[5,8,1,7,12,13,10,15,14,9,18,22,20,24])).
% 1.02/1.09 cnf(51,plain,
% 1.02/1.09 (P1(f8(a1,a1))),
% 1.02/1.09 inference(scs_inference,[],[5,8,1,7,12,13,10,15,14,9,18,22,20,24,17])).
% 1.02/1.09 cnf(55,plain,
% 1.02/1.09 (P1(f7(a4))),
% 1.02/1.09 inference(scs_inference,[],[5,8,1,2,7,12,13,10,15,14,9,18,22,20,24,17,16,11])).
% 1.02/1.09 cnf(57,plain,
% 1.02/1.09 (P2(f3(a1,a1),f3(a2,a1))),
% 1.02/1.09 inference(scs_inference,[],[5,8,1,2,7,12,13,10,15,14,9,18,22,20,24,17,16,11,29])).
% 1.02/1.09 cnf(65,plain,
% 1.02/1.09 (P3(f3(a1,a1),f3(a1,a1))),
% 1.02/1.09 inference(scs_inference,[],[5,8,1,2,7,6,12,13,10,15,14,9,18,22,20,24,17,16,11,29,28,27,26,25])).
% 1.02/1.09 cnf(67,plain,
% 1.02/1.09 (P3(f8(a4,f7(a4)),a4)),
% 1.02/1.09 inference(scs_inference,[],[5,8,1,2,7,6,12,13,10,15,14,9,18,22,20,24,17,16,11,29,28,27,26,25,23])).
% 1.02/1.09 cnf(75,plain,
% 1.02/1.09 (~P3(x751,a2)+~P2(x751,a6)),
% 1.02/1.09 inference(scs_inference,[],[5,8,1,2,7,6,12,13,10,15,14,9,18,22,20,24,17,16,11,29,28,27,26,25,23,31,30,32,21])).
% 1.02/1.09 cnf(77,plain,
% 1.02/1.09 (~P3(a1,f8(a4,f7(a4)))),
% 1.02/1.09 inference(scs_inference,[],[5,8,1,2,7,6,12,13,10,15,14,9,18,22,20,24,17,16,11,29,28,27,26,25,23,31,30,32,21,19])).
% 1.02/1.09 cnf(83,plain,
% 1.02/1.09 (P3(f3(f3(a2,a2),a2),f3(a6,a2))),
% 1.02/1.09 inference(scs_inference,[],[3,6,17,28,27])).
% 1.02/1.09 cnf(85,plain,
% 1.02/1.09 (P3(f8(a2,a2),f8(a2,a2))),
% 1.02/1.09 inference(scs_inference,[],[3,6,17,28,27,26])).
% 1.02/1.09 cnf(87,plain,
% 1.02/1.09 (P2(a6,a2)),
% 1.02/1.09 inference(scs_inference,[],[3,4,6,45,17,28,27,26,13])).
% 1.02/1.09 cnf(91,plain,
% 1.02/1.09 (~P2(f3(a1,f5(a1)),a6)),
% 1.02/1.09 inference(scs_inference,[],[3,4,8,6,43,45,17,28,27,26,13,32,21])).
% 1.02/1.09 cnf(93,plain,
% 1.02/1.09 (P3(a6,f3(a2,a2))),
% 1.02/1.09 inference(scs_inference,[],[3,4,8,6,43,45,17,28,27,26,13,32,21,12])).
% 1.02/1.09 cnf(97,plain,
% 1.02/1.09 (P2(a1,f8(a1,a1))),
% 1.02/1.09 inference(scs_inference,[],[3,4,8,6,43,34,45,17,28,27,26,13,32,21,12,19,24])).
% 1.02/1.09 cnf(101,plain,
% 1.02/1.09 (P2(f3(a1,a2),f3(a2,a2))),
% 1.02/1.09 inference(scs_inference,[],[5,3,4,8,6,43,34,45,17,28,27,26,13,32,21,12,19,24,16,29])).
% 1.02/1.09 cnf(103,plain,
% 1.02/1.09 (P3(f3(a2,a2),f3(a2,a2))),
% 1.02/1.09 inference(scs_inference,[],[5,3,4,8,6,43,34,45,17,28,27,26,13,32,21,12,19,24,16,29,25])).
% 1.02/1.09 cnf(107,plain,
% 1.02/1.09 (P3(f3(a2,f3(a2,a2)),f3(f3(a2,a2),a2))),
% 1.02/1.09 inference(scs_inference,[],[5,3,4,8,6,43,34,45,17,28,27,26,13,32,21,12,19,24,16,29,25,31,30])).
% 1.02/1.09 cnf(109,plain,
% 1.02/1.09 (~P2(x1091,f3(a1,a1))+P2(x1091,f3(a2,a1))),
% 1.02/1.09 inference(scs_inference,[],[5,3,4,8,6,57,43,34,45,17,28,27,26,13,32,21,12,19,24,16,29,25,31,30,22])).
% 1.02/1.09 cnf(127,plain,
% 1.02/1.09 (P2(f3(a2,a2),a2)),
% 1.02/1.09 inference(scs_inference,[],[4,8,1,49,77,93,87,13,32,22,12,30,21])).
% 1.02/1.09 cnf(136,plain,
% 1.02/1.09 (~P2(f8(a1,a1),a6)),
% 1.02/1.09 inference(scs_inference,[],[8,97,22])).
% 1.02/1.09 cnf(154,plain,
% 1.02/1.09 (P2(f3(a1,a2),a2)),
% 1.02/1.09 inference(scs_inference,[],[34,2,4,127,136,101,51,29,13,22])).
% 1.02/1.09 cnf(164,plain,
% 1.02/1.09 (P3(f3(a1,a4),a4)),
% 1.02/1.09 inference(scs_inference,[],[34,2,4,107,127,83,136,101,51,29,13,22,19,9,10,15,14])).
% 1.02/1.09 cnf(168,plain,
% 1.02/1.09 (P3(f3(f3(a2,a2),a2),f3(a2,f3(a2,a2)))),
% 1.02/1.09 inference(scs_inference,[],[34,2,4,107,127,83,136,101,51,29,13,22,19,9,10,15,14,18,12])).
% 1.02/1.09 cnf(170,plain,
% 1.02/1.09 (~P3(x1701,f3(a1,f5(a1)))+~P2(x1701,a6)),
% 1.02/1.09 inference(scs_inference,[],[34,2,4,107,127,83,136,91,101,51,29,13,22,19,9,10,15,14,18,12,21])).
% 1.02/1.09 cnf(176,plain,
% 1.02/1.09 (P2(a6,a6)),
% 1.02/1.09 inference(scs_inference,[],[4,13])).
% 1.02/1.09 cnf(196,plain,
% 1.02/1.09 (~P3(a6,f3(a1,f5(a1)))),
% 1.02/1.09 inference(scs_inference,[],[34,4,103,154,49,13,29,28,27,26,17,16,25,24,21,170])).
% 1.02/1.09 cnf(221,plain,
% 1.02/1.09 (P2(a1,f8(f8(a1,a1),f8(a1,a1)))),
% 1.02/1.09 inference(scs_inference,[],[1,2,65,85,97,28,27,26,17,16,25,24])).
% 1.02/1.09 cnf(225,plain,
% 1.02/1.09 (~P2(f8(a4,a1),a6)),
% 1.02/1.09 inference(scs_inference,[],[1,2,65,85,67,37,97,8,28,27,26,17,16,25,24,12,21])).
% 1.02/1.09 cnf(249,plain,
% 1.02/1.09 (P2(f3(a1,a1),f3(a1,a1))),
% 1.02/1.09 inference(scs_inference,[],[1,34,7,3,225,164,176,196,19,12,13,21,20,29])).
% 1.02/1.09 cnf(269,plain,
% 1.02/1.09 (~P2(f3(a1,a2),a6)),
% 1.02/1.09 inference(scs_inference,[],[2,37,3,249,168,39,55,221,107,8,22,29,12,19,21,109,9,10,14,75])).
% 1.02/1.09 cnf(271,plain,
% 1.02/1.09 (P3(f8(a4,a2),a2)),
% 1.02/1.09 inference(scs_inference,[],[2,37,3,249,168,39,55,221,107,8,22,29,12,19,21,109,9,10,14,75,15])).
% 1.02/1.09 cnf(295,plain,
% 1.02/1.09 (~P2(f3(a2,a2),a6)),
% 1.02/1.09 inference(scs_inference,[],[269,271,101,75,22])).
% 1.02/1.09 cnf(600,plain,
% 1.02/1.09 ($false),
% 1.02/1.09 inference(scs_inference,[],[295,93,176,21]),
% 1.02/1.09 ['proof']).
% 1.02/1.09 % SZS output end Proof
% 1.02/1.09 % Total time :0.470000s
%------------------------------------------------------------------------------