TSTP Solution File: FLD066-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD066-3 : 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 : n017.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 22:26:55 EDT 2023
% Result : Unsatisfiable 0.58s 0.84s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD066-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n017.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 : Sun Aug 27 23:58:42 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.57 start to proof:theBenchmark
% 0.58/0.83 %-------------------------------------------
% 0.58/0.83 % File :CSE---1.6
% 0.58/0.83 % Problem :theBenchmark
% 0.58/0.83 % Transform :cnf
% 0.58/0.83 % Format :tptp:raw
% 0.58/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.58/0.83
% 0.58/0.83 % Result :Theorem 0.210000s
% 0.58/0.84 % Output :CNFRefutation 0.210000s
% 0.58/0.84 %-------------------------------------------
% 0.58/0.84 %--------------------------------------------------------------------------
% 0.58/0.84 % File : FLD066-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.58/0.84 % Domain : Field Theory (Ordered fields)
% 0.58/0.84 % Problem : Elimination of a summation in an order relation
% 0.58/0.84 % Version : [Dra93] axioms : Especial.
% 0.58/0.84 % Theorem formulation : Functional with re axiom set.
% 0.58/0.84 % English :
% 0.58/0.84
% 0.58/0.84 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.58/0.84 % Source : [Dra93]
% 0.58/0.84 % Names :
% 0.58/0.84
% 0.58/0.84 % Status : Unsatisfiable
% 0.58/0.84 % Rating : 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.25 v6.4.0, 0.38 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.30 v5.2.0, 0.10 v5.1.0, 0.18 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, 0.12 v2.6.0, 0.33 v2.5.0, 0.40 v2.3.0, 0.33 v2.2.1, 1.00 v2.1.0
% 0.58/0.84 % Syntax : Number of clauses : 35 ( 12 unt; 3 nHn; 35 RR)
% 0.58/0.84 % Number of literals : 86 ( 0 equ; 50 neg)
% 0.58/0.84 % Maximal clause size : 5 ( 2 avg)
% 0.58/0.84 % Maximal term depth : 2 ( 1 avg)
% 0.58/0.84 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.58/0.84 % Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% 0.58/0.84 % Number of variables : 73 ( 0 sgn)
% 0.58/0.84 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.58/0.84
% 0.58/0.84 % Comments :
% 0.58/0.84 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.58/0.84 %--------------------------------------------------------------------------
% 0.58/0.84 include('Axioms/FLD002-0.ax').
% 0.58/0.84 %--------------------------------------------------------------------------
% 0.58/0.84 cnf(a_is_defined,hypothesis,
% 0.58/0.84 defined(a) ).
% 0.58/0.84
% 0.58/0.84 cnf(b_is_defined,hypothesis,
% 0.58/0.84 defined(b) ).
% 0.58/0.84
% 0.58/0.84 cnf(c_is_defined,hypothesis,
% 0.58/0.84 defined(c) ).
% 0.58/0.84
% 0.58/0.84 cnf(u_is_defined,hypothesis,
% 0.58/0.84 defined(u) ).
% 0.58/0.84
% 0.58/0.84 cnf(v_is_defined,hypothesis,
% 0.58/0.84 defined(v) ).
% 0.58/0.84
% 0.58/0.84 cnf(sum_6,negated_conjecture,
% 0.58/0.84 sum(a,c,u) ).
% 0.58/0.84
% 0.58/0.84 cnf(sum_7,negated_conjecture,
% 0.58/0.84 sum(b,c,v) ).
% 0.58/0.84
% 0.58/0.84 cnf(less_or_equal_8,negated_conjecture,
% 0.58/0.84 less_or_equal(u,v) ).
% 0.58/0.84
% 0.58/0.84 cnf(not_less_or_equal_9,negated_conjecture,
% 0.58/0.84 ~ less_or_equal(a,b) ).
% 0.58/0.84
% 0.58/0.84 %--------------------------------------------------------------------------
% 0.58/0.84 %-------------------------------------------
% 0.58/0.84 % Proof found
% 0.58/0.84 % SZS status Theorem for theBenchmark
% 0.58/0.84 % SZS output start Proof
% 0.58/0.84 %ClaNum:35(EqnAxiom:0)
% 0.58/0.84 %VarNum:162(SingletonVarNum:73)
% 0.58/0.84 %MaxLitNum:5
% 0.58/0.84 %MaxfuncDepth:1
% 0.58/0.84 %SharedTerms:19
% 0.58/0.84 %goalClause: 8 9 10 11
% 0.58/0.84 %singleGoalClaCount:4
% 0.58/0.84 [1]P1(a1)
% 0.58/0.84 [2]P1(a4)
% 0.58/0.84 [3]P1(a2)
% 0.58/0.84 [4]P1(a5)
% 0.58/0.84 [5]P1(a7)
% 0.58/0.84 [6]P1(a8)
% 0.58/0.84 [7]P1(a11)
% 0.58/0.84 [8]P2(a8,a11)
% 0.58/0.84 [9]P3(a2,a7,a8)
% 0.58/0.84 [10]P3(a5,a7,a11)
% 0.58/0.84 [11]~P2(a2,a5)
% 0.58/0.84 [12]~P3(a1,a1,a4)
% 0.58/0.84 [18]~P1(x181)+P3(a1,x181,x181)
% 0.58/0.84 [19]~P1(x191)+P4(a4,x191,x191)
% 0.58/0.84 [13]~P1(x131)+P1(f6(x131))
% 0.58/0.84 [20]~P1(x201)+P3(f6(x201),x201,a1)
% 0.58/0.84 [27]~P3(x272,x271,x273)+P3(x271,x272,x273)
% 0.58/0.84 [28]~P4(x282,x281,x283)+P4(x281,x282,x283)
% 0.58/0.84 [21]~P1(x211)+P3(a1,x211,a1)+P1(f10(x211))
% 0.58/0.84 [25]~P1(x251)+P4(f10(x251),x251,a4)+P3(a1,x251,a1)
% 0.58/0.84 [24]~P2(x242,x241)+~P2(x241,x242)+P3(a1,x241,x242)
% 0.58/0.84 [15]~P1(x152)+~P1(x151)+P1(f3(x151,x152))
% 0.58/0.84 [16]~P1(x162)+~P1(x161)+P1(f9(x161,x162))
% 0.58/0.84 [22]~P1(x222)+~P1(x221)+P3(x221,x222,f3(x221,x222))
% 0.58/0.84 [23]~P1(x232)+~P1(x231)+P4(x231,x232,f9(x231,x232))
% 0.58/0.84 [17]~P2(x171,x173)+P2(x171,x172)+~P2(x173,x172)
% 0.58/0.84 [14]P2(x142,x141)+~P1(x141)+~P1(x142)+P2(x141,x142)
% 0.58/0.84 [26]~P4(x263,x262,x261)+P2(a1,x261)+~P2(a1,x262)+~P2(a1,x263)
% 0.58/0.84 [29]~P3(x293,x295,x291)+P2(x291,x292)+~P3(x294,x295,x292)+~P2(x293,x294)
% 0.58/0.84 [30]~P3(x301,x306,x304)+P3(x301,x302,x303)+~P3(x304,x305,x303)+~P3(x306,x305,x302)
% 0.58/0.84 [31]~P3(x316,x314,x311)+P3(x311,x312,x313)+~P3(x314,x312,x315)+~P3(x316,x315,x313)
% 0.58/0.84 [32]~P4(x321,x326,x324)+P4(x321,x322,x323)+~P4(x324,x325,x323)+~P4(x326,x325,x322)
% 0.58/0.84 [33]~P4(x336,x334,x331)+P4(x331,x332,x333)+~P4(x334,x332,x335)+~P4(x336,x335,x333)
% 0.58/0.84 [34]~P4(x345,x347,x342)+~P4(x344,x347,x341)+P3(x341,x342,x343)+~P3(x344,x345,x346)+~P4(x346,x347,x343)
% 0.58/0.84 [35]~P4(x357,x352,x355)+~P4(x356,x352,x354)+P4(x351,x352,x353)+~P3(x354,x355,x353)+~P3(x356,x357,x351)
% 0.58/0.84 %EqnAxiom
% 0.58/0.85
% 0.58/0.85 %-------------------------------------------
% 0.58/0.85 cnf(36,plain,
% 0.58/0.85 (P2(a1,a1)),
% 0.58/0.85 inference(scs_inference,[],[1,14])).
% 0.58/0.85 cnf(37,plain,
% 0.58/0.85 (P3(a7,a2,a8)),
% 0.58/0.85 inference(scs_inference,[],[9,1,14,27])).
% 0.58/0.85 cnf(38,plain,
% 0.58/0.85 (P4(a4,a1,a1)),
% 0.58/0.85 inference(scs_inference,[],[9,1,14,27,19])).
% 0.58/0.85 cnf(40,plain,
% 0.58/0.85 (P3(a1,a1,a1)),
% 0.58/0.85 inference(scs_inference,[],[9,1,14,27,19,18])).
% 0.58/0.85 cnf(42,plain,
% 0.58/0.85 (P3(f6(a1),a1,a1)),
% 0.58/0.85 inference(scs_inference,[],[9,1,14,27,19,18,20])).
% 0.58/0.85 cnf(44,plain,
% 0.58/0.85 (P1(f6(a1))),
% 0.58/0.85 inference(scs_inference,[],[9,1,14,27,19,18,20,13])).
% 0.58/0.85 cnf(46,plain,
% 0.58/0.85 (~P2(a11,a8)+P3(a1,a8,a11)),
% 0.58/0.85 inference(scs_inference,[],[8,9,1,14,27,19,18,20,13,24])).
% 0.58/0.85 cnf(48,plain,
% 0.58/0.85 (P4(a1,a1,f9(a1,a1))),
% 0.58/0.85 inference(scs_inference,[],[8,9,1,14,27,19,18,20,13,24,23])).
% 0.58/0.85 cnf(50,plain,
% 0.58/0.85 (P3(a1,a1,f3(a1,a1))),
% 0.58/0.85 inference(scs_inference,[],[8,9,1,14,27,19,18,20,13,24,23,22])).
% 0.58/0.85 cnf(56,plain,
% 0.58/0.85 (P4(a4,f9(a1,a1),f9(a1,a1))),
% 0.58/0.85 inference(scs_inference,[],[8,9,1,14,27,19,18,20,13,24,23,22,16,15,32])).
% 0.58/0.85 cnf(58,plain,
% 0.58/0.85 (~P3(f6(a1),a1,a4)),
% 0.58/0.85 inference(scs_inference,[],[8,9,1,12,14,27,19,18,20,13,24,23,22,16,15,32,31])).
% 0.58/0.85 cnf(60,plain,
% 0.58/0.85 (~P3(f3(a1,a1),a1,a4)),
% 0.58/0.85 inference(scs_inference,[],[8,9,1,12,14,27,19,18,20,13,24,23,22,16,15,32,31,30])).
% 0.58/0.85 cnf(62,plain,
% 0.58/0.85 (P2(f3(a1,a1),f3(a1,a1))),
% 0.58/0.85 inference(scs_inference,[],[8,9,1,12,14,27,19,18,20,13,24,23,22,16,15,32,31,30,29])).
% 0.58/0.85 cnf(64,plain,
% 0.58/0.85 (P2(a1,f9(a1,a1))),
% 0.58/0.85 inference(scs_inference,[],[8,9,1,12,14,27,19,18,20,13,24,23,22,16,15,32,31,30,29,26])).
% 0.58/0.85 cnf(66,plain,
% 0.58/0.85 (P3(f9(a1,a1),f9(a1,a1),f9(a1,a1))),
% 0.58/0.85 inference(scs_inference,[],[8,9,1,12,14,27,19,18,20,13,24,23,22,16,15,32,31,30,29,26,34])).
% 0.58/0.85 cnf(78,plain,
% 0.58/0.85 (P3(a1,f3(a1,a1),f3(a1,a1))),
% 0.58/0.85 inference(scs_inference,[],[62,56,28,24])).
% 0.58/0.85 cnf(79,plain,
% 0.58/0.85 (~P2(x791,x792)+P3(a1,x792,x791)+~P2(x792,x791)),
% 0.83/0.85 inference(rename_variables,[],[24])).
% 0.83/0.85 cnf(80,plain,
% 0.83/0.85 (P3(a2,a2,f3(a2,a2))),
% 0.83/0.85 inference(scs_inference,[],[3,62,56,28,24,22])).
% 0.83/0.85 cnf(88,plain,
% 0.83/0.85 (~P3(a1,f3(a1,a1),a4)),
% 0.83/0.85 inference(scs_inference,[],[3,4,11,62,56,60,28,24,22,16,15,14,27])).
% 0.83/0.85 cnf(92,plain,
% 0.83/0.85 (P2(a11,a8)),
% 0.83/0.85 inference(scs_inference,[],[10,3,4,9,11,62,56,60,28,24,22,16,15,14,27,23,29])).
% 0.83/0.85 cnf(96,plain,
% 0.83/0.85 (P3(a1,a11,a8)),
% 0.83/0.85 inference(scs_inference,[],[8,10,3,4,9,11,62,56,60,48,28,24,22,16,15,14,27,23,29,33,79])).
% 0.83/0.85 cnf(98,plain,
% 0.83/0.85 (P2(a8,a8)),
% 0.83/0.85 inference(scs_inference,[],[8,10,3,4,9,11,62,56,60,48,28,24,22,16,15,14,27,23,29,33,79,17])).
% 0.83/0.85 cnf(102,plain,
% 0.83/0.85 (P3(a1,a8,a8)),
% 0.83/0.85 inference(scs_inference,[],[8,10,3,4,9,11,62,40,56,60,48,50,28,24,22,16,15,14,27,23,29,33,79,17,31,30])).
% 0.83/0.85 cnf(111,plain,
% 0.83/0.85 (P3(a1,a8,a11)),
% 0.83/0.85 inference(scs_inference,[],[92,46])).
% 0.83/0.85 cnf(114,plain,
% 0.83/0.85 (P3(a7,a5,a11)),
% 0.83/0.85 inference(scs_inference,[],[10,78,88,50,30,27])).
% 0.83/0.85 cnf(152,plain,
% 0.83/0.85 (P3(f6(a1),a8,a8)),
% 0.83/0.85 inference(scs_inference,[],[102,42,30])).
% 0.83/0.85 cnf(154,plain,
% 0.83/0.85 (P3(a8,a1,a8)),
% 0.83/0.85 inference(scs_inference,[],[102,42,30,27])).
% 0.83/0.85 cnf(158,plain,
% 0.83/0.85 (P3(f6(a7),a7,a1)),
% 0.83/0.85 inference(scs_inference,[],[5,102,42,30,27,13,20])).
% 0.83/0.85 cnf(160,plain,
% 0.83/0.85 (P3(a1,a7,a7)),
% 0.83/0.85 inference(scs_inference,[],[5,102,42,30,27,13,20,18])).
% 0.83/0.85 cnf(162,plain,
% 0.83/0.85 (P4(a4,a7,a7)),
% 0.83/0.85 inference(scs_inference,[],[5,102,42,30,27,13,20,18,19])).
% 0.83/0.85 cnf(176,plain,
% 0.83/0.85 (P3(a8,a8,f3(a8,a8))),
% 0.83/0.85 inference(scs_inference,[],[6,22])).
% 0.83/0.85 cnf(186,plain,
% 0.83/0.85 (P4(a7,a4,a7)),
% 0.83/0.85 inference(scs_inference,[],[6,36,152,154,160,162,111,58,22,30,29,31,27,28])).
% 0.83/0.85 cnf(192,plain,
% 0.83/0.85 (P4(a8,a8,f9(a8,a8))),
% 0.83/0.85 inference(scs_inference,[],[6,36,152,154,160,162,111,58,22,30,29,31,27,28,16,15,23])).
% 0.83/0.85 cnf(214,plain,
% 0.83/0.85 (P3(a5,a5,f3(a5,a5))),
% 0.83/0.85 inference(scs_inference,[],[4,16,15,23,22])).
% 0.83/0.85 cnf(239,plain,
% 0.83/0.85 (P3(a1,f3(a8,a8),f3(a8,a8))),
% 0.83/0.85 inference(scs_inference,[],[176,98,29,24])).
% 0.83/0.85 cnf(241,plain,
% 0.83/0.85 (P3(a7,a5,a8)),
% 0.83/0.85 inference(scs_inference,[],[114,160,176,96,98,29,24,31])).
% 0.83/0.85 cnf(243,plain,
% 0.83/0.85 (~P4(a4,a4,x2431)+P4(a7,x2431,a7)),
% 0.83/0.85 inference(scs_inference,[],[114,160,176,186,96,98,29,24,31,32])).
% 0.83/0.85 cnf(265,plain,
% 0.83/0.85 (P3(a4,a4,f3(a4,a4))),
% 0.83/0.85 inference(scs_inference,[],[2,22])).
% 0.83/0.85 cnf(267,plain,
% 0.83/0.85 (~P4(f3(a4,a4),a1,a4)),
% 0.83/0.85 inference(scs_inference,[],[2,38,12,22,34])).
% 0.83/0.85 cnf(273,plain,
% 0.83/0.85 (P3(f6(a4),a4,a1)),
% 0.83/0.85 inference(scs_inference,[],[2,38,12,239,22,34,27,28,20])).
% 0.83/0.85 cnf(275,plain,
% 0.83/0.85 (P3(a1,a4,a4)),
% 0.83/0.85 inference(scs_inference,[],[2,38,12,239,22,34,27,28,20,18])).
% 0.83/0.85 cnf(277,plain,
% 0.83/0.85 (P4(a4,a4,a4)),
% 0.83/0.85 inference(scs_inference,[],[2,38,12,239,22,34,27,28,20,18,19])).
% 0.83/0.85 cnf(283,plain,
% 0.83/0.85 (P4(f3(a4,a4),a4,f3(a4,a4))),
% 0.83/0.85 inference(scs_inference,[],[2,38,12,239,192,22,34,27,28,20,18,19,13,33,35])).
% 0.83/0.85 cnf(301,plain,
% 0.83/0.85 (P4(a1,a4,a1)),
% 0.83/0.85 inference(scs_inference,[],[4,38,14,28])).
% 0.83/0.85 cnf(303,plain,
% 0.83/0.85 (P4(f3(a4,a4),a1,f3(a1,a1))),
% 0.83/0.85 inference(scs_inference,[],[4,38,265,50,14,28,35])).
% 0.83/0.85 cnf(307,plain,
% 0.83/0.85 (P3(a1,a5,a5)),
% 0.83/0.85 inference(scs_inference,[],[4,38,265,273,275,50,14,28,35,30,24])).
% 0.83/0.85 cnf(330,plain,
% 0.83/0.85 (~P3(a1,a5,a2)),
% 0.83/0.85 inference(scs_inference,[],[36,307,303,214,301,267,11,32,30,29])).
% 0.83/0.85 cnf(340,plain,
% 0.83/0.85 (P4(a4,a4,f9(a4,a4))),
% 0.83/0.85 inference(scs_inference,[],[2,42,36,307,303,214,301,267,11,32,30,29,27,16,28,15,23])).
% 0.83/0.85 cnf(344,plain,
% 0.83/0.85 (~P4(a4,a4,f3(a1,a1))),
% 0.83/0.85 inference(scs_inference,[],[2,42,36,307,303,214,301,277,267,64,11,32,30,29,27,16,28,15,23,17,33])).
% 0.83/0.85 cnf(361,plain,
% 0.83/0.85 (P4(a7,f9(a4,a4),a7)),
% 0.83/0.85 inference(scs_inference,[],[340,243])).
% 0.83/0.85 cnf(369,plain,
% 0.83/0.85 (P4(a7,a7,f9(a7,a7))),
% 0.83/0.85 inference(scs_inference,[],[5,340,283,243,16,28,15,23])).
% 0.83/0.85 cnf(375,plain,
% 0.83/0.85 (P4(f3(a4,a4),f9(a1,a1),f9(a1,a1))),
% 0.83/0.85 inference(scs_inference,[],[5,344,340,283,277,66,56,265,243,16,28,15,23,33,32,35])).
% 0.83/0.85 cnf(390,plain,
% 0.83/0.85 (P3(a1,a2,a2)),
% 0.83/0.85 inference(scs_inference,[],[3,18])).
% 0.83/0.85 cnf(396,plain,
% 0.83/0.85 (P3(a1,f3(a2,a2),f3(a2,a2))),
% 0.83/0.85 inference(scs_inference,[],[3,361,369,80,162,18,33,32,30])).
% 0.83/0.85 cnf(398,plain,
% 0.83/0.85 (~P4(a1,a4,a4)),
% 0.83/0.85 inference(scs_inference,[],[3,40,12,361,369,80,162,301,18,33,32,30,34])).
% 0.83/0.85 cnf(440,plain,
% 0.83/0.85 ($false),
% 0.83/0.85 inference(scs_inference,[],[44,37,36,375,396,390,398,241,158,330,277,301,50,22,28,33,30,35,29,31]),
% 0.83/0.85 ['proof']).
% 0.83/0.85 % SZS output end Proof
% 0.83/0.85 % Total time :0.210000s
%------------------------------------------------------------------------------