%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD016-5 : 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 : 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 : Mon Jun 24 05:55:13 EDT 2024
% Result : Unsatisfiable 24.00s 24.06s
% Output : CNFRefutation 24.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD016-5 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n016.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 10:36:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.50/0.56 start to proof:theBenchmark
% 24.00/24.05 %-------------------------------------------
% 24.00/24.05 % File :CSE---1.7
% 24.00/24.05 % Problem :theBenchmark
% 24.00/24.05 % Transform :cnf
% 24.00/24.05 % Format :tptp:raw
% 24.00/24.05 % Command :java -jar mcs_scs.jar %d %s
% 24.00/24.05
% 24.00/24.05 % Result :Theorem 23.430000s
% 24.00/24.05 % Output :CNFRefutation 23.430000s
% 24.00/24.05 %-------------------------------------------
% 24.00/24.06 %--------------------------------------------------------------------------
% 24.00/24.06 % File : FLD016-5 : TPTP v8.2.0. Bugfixed v2.1.0.
% 24.00/24.06 % Domain : Field Theory (Ordered fields)
% 24.00/24.06 % Problem : Solutions of linear equations in the additive group are unique
% 24.00/24.06 % Version : [Dra93] axioms : Especial.
% 24.00/24.06 % Theorem formulation : Relational variant with re axiom set.
% 24.00/24.06 % English :
% 24.00/24.06
% 24.00/24.06 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 24.00/24.06 % Source : [Dra93]
% 24.00/24.06 % Names :
% 24.00/24.06
% 24.00/24.06 % Status : Unsatisfiable
% 24.00/24.06 % Rating : 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.12 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 v5.1.0, 0.18 v5.0.0, 0.14 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, 1.00 v2.1.0
% 24.00/24.06 % Syntax : Number of clauses : 35 ( 12 unt; 3 nHn; 35 RR)
% 24.00/24.06 % Number of literals : 86 ( 0 equ; 50 neg)
% 24.00/24.06 % Maximal clause size : 5 ( 2 avg)
% 24.00/24.06 % Maximal term depth : 2 ( 1 avg)
% 24.00/24.06 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 24.00/24.06 % Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% 24.00/24.06 % Number of variables : 73 ( 0 sgn)
% 24.00/24.06 % SPC : CNF_UNS_RFO_NEQ_NHN
% 24.00/24.06
% 24.00/24.06 % Comments :
% 24.00/24.06 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 24.00/24.06 %--------------------------------------------------------------------------
% 24.00/24.06 include('Axioms/FLD002-0.ax').
% 24.00/24.06 %--------------------------------------------------------------------------
% 24.00/24.06 cnf(a_is_defined,hypothesis,
% 24.00/24.06 defined(a) ).
% 24.00/24.06
% 24.00/24.06 cnf(u_is_defined,hypothesis,
% 24.00/24.06 defined(u) ).
% 24.00/24.06
% 24.00/24.06 cnf(v_is_defined,hypothesis,
% 24.00/24.06 defined(v) ).
% 24.00/24.06
% 24.00/24.06 cnf(q_is_defined,hypothesis,
% 24.00/24.06 defined(q) ).
% 24.00/24.06
% 24.00/24.06 cnf(r_is_defined,hypothesis,
% 24.00/24.06 defined(r) ).
% 24.00/24.06
% 24.00/24.06 cnf(sum_6,negated_conjecture,
% 24.00/24.06 sum(a,u,q) ).
% 24.00/24.06
% 24.00/24.06 cnf(sum_7,negated_conjecture,
% 24.00/24.06 sum(a,v,r) ).
% 24.00/24.06
% 24.00/24.06 cnf(sum_8,negated_conjecture,
% 24.00/24.06 sum(additive_identity,q,r) ).
% 24.00/24.06
% 24.00/24.06 cnf(not_sum_9,negated_conjecture,
% 24.00/24.06 ~ sum(additive_identity,u,v) ).
% 24.00/24.06
% 24.00/24.06 %--------------------------------------------------------------------------
% 24.00/24.06 %-------------------------------------------
% 24.00/24.06 % Proof found
% 24.00/24.06 % SZS status Theorem for theBenchmark
% 24.00/24.06 % SZS output start Proof
% 24.00/24.06 %ClaNum:35(EqnAxiom:0)
% 24.00/24.06 %VarNum:162(SingletonVarNum:73)
% 24.00/24.06 %MaxLitNum:5
% 24.00/24.06 %MaxfuncDepth:1
% 24.00/24.06 %SharedTerms:19
% 24.00/24.06 %goalClause: 8 9 10 12
% 24.00/24.06 %singleGoalClaCount:4
% 24.00/24.06 [1]P1(a1)
% 24.00/24.06 [2]P1(a4)
% 24.00/24.06 [3]P1(a2)
% 24.00/24.06 [4]P1(a6)
% 24.00/24.06 [5]P1(a11)
% 24.00/24.06 [6]P1(a7)
% 24.00/24.06 [7]P1(a10)
% 24.00/24.06 [8]P2(a1,a7,a10)
% 24.00/24.06 [9]P2(a2,a6,a7)
% 24.00/24.06 [10]P2(a2,a11,a10)
% 24.00/24.06 [11]~P2(a1,a1,a4)
% 24.00/24.06 [12]~P2(a1,a6,a11)
% 24.00/24.06 [18]~P1(x181)+P2(a1,x181,x181)
% 24.00/24.06 [19]~P1(x191)+P4(a4,x191,x191)
% 24.00/24.06 [13]~P1(x131)+P1(f5(x131))
% 24.00/24.06 [20]~P1(x201)+P2(f5(x201),x201,a1)
% 24.00/24.06 [27]~P2(x272,x271,x273)+P2(x271,x272,x273)
% 24.00/24.06 [28]~P4(x282,x281,x283)+P4(x281,x282,x283)
% 24.00/24.06 [21]~P1(x211)+P2(a1,x211,a1)+P1(f9(x211))
% 24.00/24.06 [25]~P1(x251)+P4(f9(x251),x251,a4)+P2(a1,x251,a1)
% 24.00/24.06 [24]~P3(x242,x241)+~P3(x241,x242)+P2(a1,x241,x242)
% 24.00/24.06 [15]~P1(x152)+~P1(x151)+P1(f3(x151,x152))
% 24.00/24.06 [16]~P1(x162)+~P1(x161)+P1(f8(x161,x162))
% 24.00/24.06 [22]~P1(x222)+~P1(x221)+P2(x221,x222,f3(x221,x222))
% 24.00/24.06 [23]~P1(x232)+~P1(x231)+P4(x231,x232,f8(x231,x232))
% 24.00/24.06 [17]~P3(x171,x173)+P3(x171,x172)+~P3(x173,x172)
% 24.00/24.06 [14]P3(x142,x141)+~P1(x141)+~P1(x142)+P3(x141,x142)
% 24.00/24.06 [26]~P4(x263,x262,x261)+P3(a1,x261)+~P3(a1,x262)+~P3(a1,x263)
% 24.00/24.06 [29]~P2(x293,x295,x291)+P3(x291,x292)+~P2(x294,x295,x292)+~P3(x293,x294)
% 24.00/24.06 [30]~P2(x301,x306,x304)+P2(x301,x302,x303)+~P2(x304,x305,x303)+~P2(x306,x305,x302)
% 24.00/24.06 [31]~P2(x316,x314,x311)+P2(x311,x312,x313)+~P2(x314,x312,x315)+~P2(x316,x315,x313)
% 24.00/24.06 [32]~P4(x321,x326,x324)+P4(x321,x322,x323)+~P4(x324,x325,x323)+~P4(x326,x325,x322)
% 24.00/24.06 [33]~P4(x336,x334,x331)+P4(x331,x332,x333)+~P4(x334,x332,x335)+~P4(x336,x335,x333)
% 24.00/24.06 [34]~P4(x345,x347,x342)+~P4(x344,x347,x341)+P2(x341,x342,x343)+~P2(x344,x345,x346)+~P4(x346,x347,x343)
% 24.00/24.06 [35]~P4(x357,x352,x355)+~P4(x356,x352,x354)+P4(x351,x352,x353)+~P2(x354,x355,x353)+~P2(x356,x357,x351)
% 24.00/24.06 %EqnAxiom
% 24.00/24.06
% 24.00/24.06 %-------------------------------------------
% 24.00/24.06 cnf(5223,plain,
% 24.00/24.06 (~P2(x52231,a7,a11)+~P2(x52231,a2,a1)),
% 24.00/24.06 inference(scs_inference,[],[12,9,31])).
% 24.00/24.06 cnf(5244,plain,
% 24.00/24.06 (~P2(f5(a2),a7,a11)),
% 24.00/24.06 inference(scs_inference,[],[3,5223,20])).
% 24.00/24.07 cnf(5245,plain,
% 24.00/24.07 (~P2(x52451,a10,a11)+~P2(x52451,a1,f5(a2))),
% 24.00/24.07 inference(scs_inference,[],[8,5244,31])).
% 24.00/24.07 cnf(5418,plain,
% 24.00/24.07 (~P2(a1,x54181,f5(a2))+~P2(x54181,a10,a11)),
% 24.00/24.07 inference(scs_inference,[],[5245,27])).
% 24.00/24.07 cnf(5615,plain,
% 24.00/24.07 (~P1(f5(a2))+~P2(f5(a2),a10,a11)),
% 24.00/24.07 inference(scs_inference,[],[5418,18])).
% 24.00/24.07 cnf(5637,plain,
% 24.00/24.07 (~P2(f5(a2),a10,a11)),
% 24.00/24.07 inference(scs_inference,[],[3,5615,13])).
% 24.00/24.07 cnf(5781,plain,
% 24.00/24.07 (~P2(f5(a2),a2,x57811)+~P2(x57811,a11,a11)),
% 24.00/24.07 inference(scs_inference,[],[10,5637,30])).
% 24.00/24.07 cnf(6003,plain,
% 24.00/24.07 (~P2(a1,a11,a11)),
% 24.00/24.07 inference(scs_inference,[],[3,5781,20])).
% 24.00/24.07 cnf(6004,plain,
% 24.00/24.07 ($false),
% 24.00/24.07 inference(scs_inference,[],[6003,5,18]),
% 24.00/24.07 ['proof']).
% 24.00/24.07 % SZS output end Proof
% 24.00/24.07 % Total time :23.430000s
%------------------------------------------------------------------------------