%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD007-3 : 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 : n003.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 05:55:09 EDT 2024
% Result : Unsatisfiable 8.41s 8.48s
% Output : CNFRefutation 8.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD007-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 10:51:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.51/0.55 start to proof:theBenchmark
% 8.41/8.47 %-------------------------------------------
% 8.41/8.47 % File :CSE---1.7
% 8.41/8.47 % Problem :theBenchmark
% 8.41/8.47 % Transform :cnf
% 8.41/8.47 % Format :tptp:raw
% 8.41/8.47 % Command :java -jar mcs_scs.jar %d %s
% 8.41/8.47
% 8.41/8.47 % Result :Theorem 7.880000s
% 8.41/8.47 % Output :CNFRefutation 7.880000s
% 8.41/8.47 %-------------------------------------------
% 8.41/8.48 %--------------------------------------------------------------------------
% 8.41/8.48 % File : FLD007-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 8.41/8.48 % Domain : Field Theory (Ordered fields)
% 8.41/8.48 % Problem : The additive inverse fulfills the involution property
% 8.41/8.48 % Version : [Dra93] axioms : Especial.
% 8.41/8.48 % Theorem formulation : Functional with re axiom set.
% 8.41/8.48 % English :
% 8.41/8.48
% 8.41/8.48 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 8.41/8.48 % Source : [Dra93]
% 8.41/8.48 % Names :
% 8.41/8.48
% 8.41/8.48 % Status : Unsatisfiable
% 8.41/8.48 % Rating : 0.00 v7.4.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.22 v6.1.0, 0.14 v6.0.0, 0.29 v5.5.0, 0.38 v5.4.0, 0.40 v5.2.0, 0.30 v5.1.0, 0.18 v5.0.0, 0.21 v4.1.0, 0.25 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, 0.67 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 8.41/8.48 % Syntax : Number of clauses : 28 ( 5 unt; 3 nHn; 28 RR)
% 8.41/8.48 % Number of literals : 79 ( 0 equ; 50 neg)
% 8.41/8.48 % Maximal clause size : 5 ( 2 avg)
% 8.41/8.48 % Maximal term depth : 3 ( 1 avg)
% 8.41/8.48 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 8.41/8.48 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 8.41/8.48 % Number of variables : 73 ( 0 sgn)
% 8.41/8.48 % SPC : CNF_UNS_RFO_NEQ_NHN
% 8.41/8.48
% 8.41/8.48 % Comments :
% 8.41/8.48 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 8.41/8.48 %--------------------------------------------------------------------------
% 8.41/8.48 include('Axioms/FLD002-0.ax').
% 8.41/8.48 %--------------------------------------------------------------------------
% 8.41/8.48 cnf(a_is_defined,hypothesis,
% 8.41/8.48 defined(a) ).
% 8.41/8.48
% 8.41/8.48 cnf(not_sum_2,negated_conjecture,
% 8.41/8.48 ~ sum(additive_identity,additive_inverse(additive_inverse(a)),a) ).
% 8.41/8.48
% 8.41/8.48 %--------------------------------------------------------------------------
% 8.41/8.48 %-------------------------------------------
% 8.41/8.48 % Proof found
% 8.41/8.48 % SZS status Theorem for theBenchmark
% 8.41/8.48 % SZS output start Proof
% 8.41/8.48 %ClaNum:28(EqnAxiom:0)
% 8.41/8.48 %VarNum:162(SingletonVarNum:73)
% 8.41/8.48 %MaxLitNum:5
% 8.41/8.48 %MaxfuncDepth:2
% 8.41/8.48 %SharedTerms:10
% 8.41/8.48 %goalClause: 5
% 8.41/8.48 %singleGoalClaCount:1
% 8.41/8.48 [1]P1(a1)
% 8.41/8.48 [2]P1(a4)
% 8.41/8.48 [3]P1(a2)
% 8.41/8.48 [4]~P2(a1,a1,a4)
% 8.41/8.48 [5]~P2(a1,f5(f5(a2)),a2)
% 8.41/8.48 [11]~P1(x111)+P2(a1,x111,x111)
% 8.41/8.48 [12]~P1(x121)+P4(a4,x121,x121)
% 8.41/8.48 [6]~P1(x61)+P1(f5(x61))
% 8.41/8.48 [13]~P1(x131)+P2(f5(x131),x131,a1)
% 8.41/8.48 [20]~P2(x202,x201,x203)+P2(x201,x202,x203)
% 8.41/8.48 [21]~P4(x212,x211,x213)+P4(x211,x212,x213)
% 8.41/8.48 [14]~P1(x141)+P2(a1,x141,a1)+P1(f7(x141))
% 8.41/8.48 [18]~P1(x181)+P4(f7(x181),x181,a4)+P2(a1,x181,a1)
% 8.41/8.48 [17]~P3(x172,x171)+~P3(x171,x172)+P2(a1,x171,x172)
% 8.41/8.48 [8]~P1(x82)+~P1(x81)+P1(f3(x81,x82))
% 8.41/8.48 [9]~P1(x92)+~P1(x91)+P1(f6(x91,x92))
% 8.41/8.48 [15]~P1(x152)+~P1(x151)+P2(x151,x152,f3(x151,x152))
% 8.41/8.48 [16]~P1(x162)+~P1(x161)+P4(x161,x162,f6(x161,x162))
% 8.41/8.48 [10]~P3(x101,x103)+P3(x101,x102)+~P3(x103,x102)
% 8.41/8.48 [7]P3(x72,x71)+~P1(x71)+~P1(x72)+P3(x71,x72)
% 8.41/8.48 [19]~P4(x193,x192,x191)+P3(a1,x191)+~P3(a1,x192)+~P3(a1,x193)
% 8.41/8.48 [22]~P2(x223,x225,x221)+P3(x221,x222)+~P2(x224,x225,x222)+~P3(x223,x224)
% 8.41/8.48 [23]~P2(x231,x236,x234)+P2(x231,x232,x233)+~P2(x234,x235,x233)+~P2(x236,x235,x232)
% 8.41/8.48 [24]~P2(x246,x244,x241)+P2(x241,x242,x243)+~P2(x244,x242,x245)+~P2(x246,x245,x243)
% 8.41/8.48 [25]~P4(x251,x256,x254)+P4(x251,x252,x253)+~P4(x254,x255,x253)+~P4(x256,x255,x252)
% 8.41/8.48 [26]~P4(x266,x264,x261)+P4(x261,x262,x263)+~P4(x264,x262,x265)+~P4(x266,x265,x263)
% 8.41/8.48 [27]~P4(x275,x277,x272)+~P4(x274,x277,x271)+P2(x271,x272,x273)+~P2(x274,x275,x276)+~P4(x276,x277,x273)
% 8.41/8.48 [28]~P4(x287,x282,x285)+~P4(x286,x282,x284)+P4(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x287,x281)
% 8.41/8.48 %EqnAxiom
% 8.41/8.48
% 8.41/8.48 %-------------------------------------------
% 8.41/8.48 cnf(29,plain,
% 8.41/8.48 (~P2(f5(f5(a2)),a1,a2)),
% 8.41/8.49 inference(scs_inference,[],[5,20])).
% 8.41/8.49 cnf(137,plain,
% 8.41/8.49 (P2(f5(f5(a2)),f5(a2),a1)),
% 8.41/8.49 inference(scs_inference,[],[3,13,6])).
% 8.41/8.49 cnf(3615,plain,
% 8.41/8.49 (~P2(f5(a2),x36151,a1)+~P2(a1,x36151,a2)),
% 8.41/8.49 inference(scs_inference,[],[29,137,23])).
% 8.41/8.49 cnf(3626,plain,
% 8.41/8.49 (~P2(a1,a2,a2)),
% 8.41/8.49 inference(scs_inference,[],[3,3615,13])).
% 8.41/8.49 cnf(3627,plain,
% 8.41/8.49 ($false),
% 8.41/8.49 inference(scs_inference,[],[3626,3,11]),
% 8.41/8.49 ['proof']).
% 8.41/8.49 % SZS output end Proof
% 8.41/8.49 % Total time :7.880000s
%------------------------------------------------------------------------------