%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD066-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 05:55:34 EDT 2024
% Result : Unsatisfiable 42.23s 42.34s
% Output : CNFRefutation 42.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : FLD066-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jun 19 11:22:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.62/0.65 start to proof:theBenchmark
% 42.23/42.33 %-------------------------------------------
% 42.23/42.33 % File :CSE---1.7
% 42.23/42.33 % Problem :theBenchmark
% 42.23/42.33 % Transform :cnf
% 42.23/42.33 % Format :tptp:raw
% 42.23/42.33 % Command :java -jar mcs_scs.jar %d %s
% 42.23/42.33
% 42.23/42.33 % Result :Theorem 41.590000s
% 42.23/42.33 % Output :CNFRefutation 41.590000s
% 42.23/42.33 %-------------------------------------------
% 42.23/42.33 %--------------------------------------------------------------------------
% 42.23/42.33 % File : FLD066-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 42.23/42.33 % Domain : Field Theory (Ordered fields)
% 42.23/42.33 % Problem : Elimination of a summation in an order relation
% 42.23/42.33 % Version : [Dra93] axioms : Especial.
% 42.23/42.33 % Theorem formulation : Functional with re axiom set.
% 42.23/42.33 % English :
% 42.23/42.33
% 42.23/42.33 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 42.23/42.33 % Source : [Dra93]
% 42.23/42.33 % Names :
% 42.23/42.33
% 42.23/42.33 % Status : Unsatisfiable
% 42.23/42.33 % 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
% 42.23/42.33 % Syntax : Number of clauses : 35 ( 12 unt; 3 nHn; 35 RR)
% 42.23/42.33 % Number of literals : 86 ( 0 equ; 50 neg)
% 42.23/42.33 % Maximal clause size : 5 ( 2 avg)
% 42.23/42.33 % Maximal term depth : 2 ( 1 avg)
% 42.23/42.33 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 42.23/42.34 % Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% 42.23/42.34 % Number of variables : 73 ( 0 sgn)
% 42.23/42.34 % SPC : CNF_UNS_RFO_NEQ_NHN
% 42.23/42.34
% 42.23/42.34 % Comments :
% 42.23/42.34 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 42.23/42.34 %--------------------------------------------------------------------------
% 42.23/42.34 include('Axioms/FLD002-0.ax').
% 42.23/42.34 %--------------------------------------------------------------------------
% 42.23/42.34 cnf(a_is_defined,hypothesis,
% 42.23/42.34 defined(a) ).
% 42.23/42.34
% 42.23/42.34 cnf(b_is_defined,hypothesis,
% 42.23/42.34 defined(b) ).
% 42.23/42.34
% 42.23/42.34 cnf(c_is_defined,hypothesis,
% 42.23/42.34 defined(c) ).
% 42.23/42.34
% 42.23/42.34 cnf(u_is_defined,hypothesis,
% 42.23/42.34 defined(u) ).
% 42.23/42.34
% 42.23/42.34 cnf(v_is_defined,hypothesis,
% 42.23/42.34 defined(v) ).
% 42.23/42.34
% 42.23/42.34 cnf(sum_6,negated_conjecture,
% 42.23/42.34 sum(a,c,u) ).
% 42.23/42.34
% 42.23/42.34 cnf(sum_7,negated_conjecture,
% 42.23/42.34 sum(b,c,v) ).
% 42.23/42.34
% 42.23/42.34 cnf(less_or_equal_8,negated_conjecture,
% 42.23/42.34 less_or_equal(u,v) ).
% 42.23/42.34
% 42.23/42.34 cnf(not_less_or_equal_9,negated_conjecture,
% 42.23/42.34 ~ less_or_equal(a,b) ).
% 42.23/42.34
% 42.23/42.34 %--------------------------------------------------------------------------
% 42.23/42.34 %-------------------------------------------
% 42.23/42.34 % Proof found
% 42.23/42.34 % SZS status Theorem for theBenchmark
% 42.23/42.34 % SZS output start Proof
% 42.23/42.34 %ClaNum:35(EqnAxiom:0)
% 42.23/42.34 %VarNum:162(SingletonVarNum:73)
% 42.23/42.34 %MaxLitNum:5
% 42.23/42.34 %MaxfuncDepth:1
% 42.23/42.34 %SharedTerms:19
% 42.23/42.34 %goalClause: 8 9 10 11
% 42.23/42.34 %singleGoalClaCount:4
% 42.23/42.34 [1]P1(a1)
% 42.23/42.34 [2]P1(a4)
% 42.23/42.34 [3]P1(a2)
% 42.23/42.34 [4]P1(a5)
% 42.23/42.34 [5]P1(a7)
% 42.23/42.34 [6]P1(a8)
% 42.23/42.34 [7]P1(a11)
% 42.23/42.34 [8]P2(a8,a11)
% 42.23/42.34 [9]P3(a2,a7,a8)
% 42.23/42.34 [10]P3(a5,a7,a11)
% 42.23/42.34 [11]~P2(a2,a5)
% 42.23/42.34 [12]~P3(a1,a1,a4)
% 42.23/42.34 [18]~P1(x181)+P3(a1,x181,x181)
% 42.23/42.34 [19]~P1(x191)+P4(a4,x191,x191)
% 42.23/42.34 [13]~P1(x131)+P1(f6(x131))
% 42.23/42.34 [20]~P1(x201)+P3(f6(x201),x201,a1)
% 42.23/42.34 [27]~P3(x272,x271,x273)+P3(x271,x272,x273)
% 42.23/42.34 [28]~P4(x282,x281,x283)+P4(x281,x282,x283)
% 42.23/42.34 [21]~P1(x211)+P3(a1,x211,a1)+P1(f10(x211))
% 42.23/42.34 [25]~P1(x251)+P4(f10(x251),x251,a4)+P3(a1,x251,a1)
% 42.23/42.34 [24]~P2(x242,x241)+~P2(x241,x242)+P3(a1,x241,x242)
% 42.23/42.34 [15]~P1(x152)+~P1(x151)+P1(f3(x151,x152))
% 42.23/42.34 [16]~P1(x162)+~P1(x161)+P1(f9(x161,x162))
% 42.23/42.34 [22]~P1(x222)+~P1(x221)+P3(x221,x222,f3(x221,x222))
% 42.23/42.34 [23]~P1(x232)+~P1(x231)+P4(x231,x232,f9(x231,x232))
% 42.23/42.34 [17]~P2(x171,x173)+P2(x171,x172)+~P2(x173,x172)
% 42.23/42.34 [14]P2(x142,x141)+~P1(x141)+~P1(x142)+P2(x141,x142)
% 42.23/42.34 [26]~P4(x263,x262,x261)+P2(a1,x261)+~P2(a1,x262)+~P2(a1,x263)
% 42.23/42.34 [29]~P3(x293,x295,x291)+P2(x291,x292)+~P3(x294,x295,x292)+~P2(x293,x294)
% 42.23/42.34 [30]~P3(x301,x306,x304)+P3(x301,x302,x303)+~P3(x304,x305,x303)+~P3(x306,x305,x302)
% 42.23/42.34 [31]~P3(x316,x314,x311)+P3(x311,x312,x313)+~P3(x314,x312,x315)+~P3(x316,x315,x313)
% 42.23/42.34 [32]~P4(x321,x326,x324)+P4(x321,x322,x323)+~P4(x324,x325,x323)+~P4(x326,x325,x322)
% 42.23/42.34 [33]~P4(x336,x334,x331)+P4(x331,x332,x333)+~P4(x334,x332,x335)+~P4(x336,x335,x333)
% 42.23/42.34 [34]~P4(x345,x347,x342)+~P4(x344,x347,x341)+P3(x341,x342,x343)+~P3(x344,x345,x346)+~P4(x346,x347,x343)
% 42.23/42.34 [35]~P4(x357,x352,x355)+~P4(x356,x352,x354)+P4(x351,x352,x353)+~P3(x354,x355,x353)+~P3(x356,x357,x351)
% 42.23/42.34 %EqnAxiom
% 42.23/42.34
% 42.23/42.34 %-------------------------------------------
% 42.23/42.34 cnf(36,plain,
% 42.23/42.34 (P2(a1,a1)),
% 42.23/42.34 inference(scs_inference,[],[1,14])).
% 42.23/42.34 cnf(45,plain,
% 42.23/42.34 (~P2(x451,a8)+P2(x451,a11)),
% 42.23/42.34 inference(scs_inference,[],[8,2,14,17])).
% 42.23/42.34 cnf(50,plain,
% 42.23/42.34 (P2(a2,a2)),
% 42.23/42.34 inference(scs_inference,[],[3,14])).
% 42.23/42.34 cnf(52,plain,
% 42.23/42.34 (~P3(a1,x521,a2)+~P3(a1,x521,a5)),
% 42.23/42.34 inference(scs_inference,[],[11,36,3,14,29])).
% 42.23/42.34 cnf(57,plain,
% 42.23/42.34 (P2(a8,a8)),
% 42.23/42.34 inference(scs_inference,[],[9,50,29])).
% 42.23/42.34 cnf(61,plain,
% 42.23/42.34 (P3(a11,x611,a11)+~P3(a7,x611,a7)),
% 42.23/42.34 inference(scs_inference,[],[10,9,50,4,29,14,31])).
% 42.23/42.34 cnf(147,plain,
% 42.23/42.34 (P2(a11,a8)),
% 42.23/42.34 inference(scs_inference,[],[10,9,11,3,4,14,29])).
% 42.23/42.34 cnf(168,plain,
% 42.23/42.34 (P3(a1,a11,a8)),
% 42.23/42.34 inference(scs_inference,[],[57,147,45,24])).
% 42.23/42.34 cnf(267,plain,
% 42.23/42.34 (~P3(a1,a5,a2)),
% 42.23/42.34 inference(scs_inference,[],[4,52,18])).
% 42.23/42.34 cnf(301,plain,
% 42.23/42.35 (~P3(x3011,a7,a7)+P3(a11,x3011,a11)),
% 42.23/42.35 inference(scs_inference,[],[61,27])).
% 42.23/42.35 cnf(685,plain,
% 42.23/42.35 (P3(x6851,a11,a11)+~P3(x6851,a7,a7)),
% 42.23/42.35 inference(scs_inference,[],[301,27])).
% 42.23/42.35 cnf(1065,plain,
% 42.23/42.35 (P3(a1,a11,a11)),
% 42.23/42.35 inference(scs_inference,[],[5,685,18])).
% 42.23/42.35 cnf(3629,plain,
% 42.23/42.35 (P3(a7,a5,a11)),
% 42.23/42.35 inference(scs_inference,[],[10,27])).
% 42.23/42.35 cnf(3638,plain,
% 42.23/42.35 (P3(a7,a2,a8)),
% 42.23/42.35 inference(scs_inference,[],[9,27])).
% 42.23/42.35 cnf(3647,plain,
% 42.23/42.35 (~P3(x36471,a11,a2)+~P3(x36471,a7,a1)),
% 42.23/42.35 inference(scs_inference,[],[1065,267,3629,27,31])).
% 42.23/42.35 cnf(3688,plain,
% 42.23/42.35 (~P3(f6(a7),a11,a2)),
% 42.23/42.35 inference(scs_inference,[],[5,3647,20])).
% 42.23/42.35 cnf(3936,plain,
% 42.23/42.35 (~P3(x39361,a8,a2)+~P3(x39361,a1,f6(a7))),
% 42.23/42.35 inference(scs_inference,[],[3688,168,31])).
% 42.23/42.35 cnf(4333,plain,
% 42.23/42.35 (~P3(a1,x43331,f6(a7))+~P3(x43331,a8,a2)),
% 42.23/42.35 inference(scs_inference,[],[3936,27])).
% 42.23/42.35 cnf(4827,plain,
% 42.23/42.35 (~P1(f6(a7))+~P3(f6(a7),a8,a2)),
% 42.23/42.35 inference(scs_inference,[],[4333,18])).
% 42.23/42.35 cnf(4843,plain,
% 42.23/42.35 (~P3(f6(a7),a8,a2)),
% 42.23/42.35 inference(scs_inference,[],[5,4827,13])).
% 42.23/42.35 cnf(5114,plain,
% 42.23/42.35 (~P3(f6(a7),a7,x51141)+~P3(x51141,a2,a2)),
% 42.23/42.35 inference(scs_inference,[],[4843,3638,30])).
% 42.23/42.35 cnf(5651,plain,
% 42.23/42.35 (~P3(a1,a2,a2)),
% 42.23/42.35 inference(scs_inference,[],[5,5114,20])).
% 42.23/42.35 cnf(5652,plain,
% 42.23/42.35 ($false),
% 42.23/42.35 inference(scs_inference,[],[5651,3,18]),
% 42.23/42.35 ['proof']).
% 42.23/42.35 % SZS output end Proof
% 42.23/42.35 % Total time :41.590000s
%------------------------------------------------------------------------------