%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD010-5 : 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 : n028.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 05:55:10 EDT 2024
% Result : Unsatisfiable 42.81s 42.87s
% Output : CNFRefutation 42.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD010-5 : 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
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jun 19 10:23:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.43/0.62 start to proof:theBenchmark
% 42.81/42.86 %-------------------------------------------
% 42.81/42.86 % File :CSE---1.7
% 42.81/42.86 % Problem :theBenchmark
% 42.81/42.86 % Transform :cnf
% 42.81/42.86 % Format :tptp:raw
% 42.81/42.86 % Command :java -jar mcs_scs.jar %d %s
% 42.81/42.86
% 42.81/42.86 % Result :Theorem 42.170000s
% 42.81/42.86 % Output :CNFRefutation 42.170000s
% 42.81/42.87 %-------------------------------------------
% 42.81/42.87 %--------------------------------------------------------------------------
% 42.81/42.87 % File : FLD010-5 : TPTP v8.2.0. Bugfixed v2.1.0.
% 42.81/42.87 % Domain : Field Theory (Ordered fields)
% 42.81/42.87 % Problem : In the multiplicative group inverse(identity)=identity
% 42.81/42.87 % Version : [Dra93] axioms : Especial.
% 42.81/42.87 % Theorem formulation : Relational variant with re axiom set.
% 42.81/42.87 % English :
% 42.81/42.87
% 42.81/42.87 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 42.81/42.87 % Source : [Dra93]
% 42.81/42.87 % Names :
% 42.81/42.87
% 42.81/42.87 % Status : Unsatisfiable
% 42.81/42.87 % Rating : 0.00 v6.0.0, 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, 0.14 v4.1.0, 0.12 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, 0.20 v2.4.0, 0.40 v2.3.0, 0.33 v2.2.1, 0.33 v2.1.0
% 42.81/42.87 % Syntax : Number of clauses : 28 ( 5 unt; 3 nHn; 28 RR)
% 42.81/42.87 % Number of literals : 79 ( 0 equ; 51 neg)
% 42.81/42.87 % Maximal clause size : 5 ( 2 avg)
% 42.81/42.87 % Maximal term depth : 2 ( 1 avg)
% 42.81/42.87 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 42.81/42.87 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 42.81/42.87 % Number of variables : 73 ( 0 sgn)
% 42.81/42.87 % SPC : CNF_UNS_RFO_NEQ_NHN
% 42.81/42.87
% 42.81/42.87 % Comments :
% 42.81/42.87 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 42.81/42.87 %--------------------------------------------------------------------------
% 42.81/42.87 include('Axioms/FLD002-0.ax').
% 42.81/42.87 %--------------------------------------------------------------------------
% 42.81/42.87 cnf(not_sum_1,negated_conjecture,
% 42.81/42.87 ~ sum(additive_identity,multiplicative_identity,additive_identity) ).
% 42.81/42.87
% 42.81/42.87 cnf(not_sum_2,negated_conjecture,
% 42.81/42.87 ~ sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity) ).
% 42.81/42.87
% 42.81/42.87 %--------------------------------------------------------------------------
% 42.81/42.87 %-------------------------------------------
% 42.81/42.87 % Proof found
% 42.81/42.87 % SZS status Theorem for theBenchmark
% 42.81/42.87 % SZS output start Proof
% 42.81/42.87 %ClaNum:28(EqnAxiom:0)
% 42.81/42.87 %VarNum:162(SingletonVarNum:73)
% 42.81/42.87 %MaxLitNum:5
% 42.81/42.87 %MaxfuncDepth:1
% 42.81/42.87 %SharedTerms:8
% 42.81/42.87 %goalClause: 4 5
% 42.81/42.87 %singleGoalClaCount:2
% 42.81/42.87 [1]P1(a1)
% 42.81/42.87 [2]P1(a3)
% 42.81/42.87 [3]~P2(a1,a1,a3)
% 42.81/42.87 [4]~P2(a1,a3,a1)
% 42.81/42.87 [5]~P2(a1,f5(a3),a3)
% 42.81/42.87 [11]~P1(x111)+P2(a1,x111,x111)
% 42.81/42.87 [12]~P1(x121)+P4(a3,x121,x121)
% 42.81/42.87 [6]~P1(x61)+P1(f4(x61))
% 42.81/42.87 [13]~P1(x131)+P2(f4(x131),x131,a1)
% 42.81/42.87 [20]~P2(x202,x201,x203)+P2(x201,x202,x203)
% 42.81/42.87 [21]~P4(x212,x211,x213)+P4(x211,x212,x213)
% 42.81/42.87 [14]~P1(x141)+P2(a1,x141,a1)+P1(f5(x141))
% 42.81/42.87 [18]~P1(x181)+P4(f5(x181),x181,a3)+P2(a1,x181,a1)
% 42.81/42.87 [17]~P3(x172,x171)+~P3(x171,x172)+P2(a1,x171,x172)
% 42.81/42.87 [8]~P1(x82)+~P1(x81)+P1(f2(x81,x82))
% 42.81/42.87 [9]~P1(x92)+~P1(x91)+P1(f6(x91,x92))
% 42.81/42.87 [15]~P1(x152)+~P1(x151)+P2(x151,x152,f2(x151,x152))
% 42.81/42.87 [16]~P1(x162)+~P1(x161)+P4(x161,x162,f6(x161,x162))
% 42.81/42.87 [10]~P3(x101,x103)+P3(x101,x102)+~P3(x103,x102)
% 42.81/42.87 [7]P3(x72,x71)+~P1(x71)+~P1(x72)+P3(x71,x72)
% 42.81/42.87 [19]~P4(x193,x192,x191)+P3(a1,x191)+~P3(a1,x192)+~P3(a1,x193)
% 42.81/42.87 [22]~P2(x223,x225,x221)+P3(x221,x222)+~P2(x224,x225,x222)+~P3(x223,x224)
% 42.81/42.87 [23]~P2(x231,x236,x234)+P2(x231,x232,x233)+~P2(x234,x235,x233)+~P2(x236,x235,x232)
% 42.81/42.88 [24]~P2(x246,x244,x241)+P2(x241,x242,x243)+~P2(x244,x242,x245)+~P2(x246,x245,x243)
% 42.81/42.88 [25]~P4(x251,x256,x254)+P4(x251,x252,x253)+~P4(x254,x255,x253)+~P4(x256,x255,x252)
% 42.81/42.88 [26]~P4(x266,x264,x261)+P4(x261,x262,x263)+~P4(x264,x262,x265)+~P4(x266,x265,x263)
% 42.81/42.88 [27]~P4(x275,x277,x272)+~P4(x274,x277,x271)+P2(x271,x272,x273)+~P2(x274,x275,x276)+~P4(x276,x277,x273)
% 42.81/42.88 [28]~P4(x287,x282,x285)+~P4(x286,x282,x284)+P4(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x287,x281)
% 42.81/42.88 %EqnAxiom
% 42.81/42.88
% 42.81/42.88 %-------------------------------------------
% 42.81/42.88 cnf(31,plain,
% 42.81/42.88 (P3(a1,a1)),
% 42.81/42.88 inference(scs_inference,[],[4,1,20,7])).
% 42.81/42.88 cnf(44,plain,
% 42.81/42.88 (~P2(a1,x441,x442)+~P2(a1,x441,x443)+P3(x442,x443)),
% 42.81/42.88 inference(scs_inference,[],[31,22])).
% 42.81/42.88 cnf(73,plain,
% 42.81/42.88 (P2(a1,f4(a3),f4(a3))),
% 42.81/42.88 inference(scs_inference,[],[2,11,6])).
% 42.81/42.88 cnf(76,plain,
% 42.81/42.88 (~P2(x761,a1,a1)+P2(x761,f4(a3),f4(a3))),
% 42.81/42.88 inference(scs_inference,[],[73,44,23])).
% 42.81/42.88 cnf(95,plain,
% 42.81/42.88 (P4(a3,f4(a1),f4(a1))),
% 42.81/42.88 inference(scs_inference,[],[1,12,6])).
% 42.81/42.88 cnf(96,plain,
% 42.81/42.88 (~P4(x961,a3,a3)+P4(x961,f4(a1),f4(a1))),
% 42.81/42.88 inference(scs_inference,[],[95,25])).
% 42.81/42.88 cnf(133,plain,
% 42.81/42.88 (P2(f4(f4(a3)),f4(a3),a1)),
% 42.81/42.88 inference(scs_inference,[],[2,13,6])).
% 42.81/42.88 cnf(136,plain,
% 42.81/42.88 (~P2(a3,f4(a3),f4(a3))),
% 42.81/42.88 inference(scs_inference,[],[4,133,24,20])).
% 42.81/42.88 cnf(185,plain,
% 42.81/42.88 (P2(f4(a1),f4(a3),f4(a3))),
% 42.81/42.88 inference(scs_inference,[],[1,76,13])).
% 42.81/42.88 cnf(188,plain,
% 42.81/42.88 (~P2(f4(a1),a3,f4(a1))),
% 42.81/42.88 inference(scs_inference,[],[136,185,23,20])).
% 42.81/42.88 cnf(205,plain,
% 42.81/42.88 (P4(f4(a1),x2051,f4(a1))+~P4(x2051,a3,a3)),
% 42.81/42.88 inference(scs_inference,[],[96,21])).
% 42.81/42.88 cnf(1538,plain,
% 42.81/42.88 (P2(a3,a1,a3)),
% 42.81/42.88 inference(scs_inference,[],[2,11,20])).
% 42.81/42.88 cnf(1772,plain,
% 42.81/42.88 (~P4(a1,f4(a1),a3)),
% 42.81/42.88 inference(scs_inference,[],[188,1538,95,27])).
% 42.81/42.88 cnf(3694,plain,
% 42.81/42.88 (P2(a1,a3,a3)),
% 42.81/42.88 inference(scs_inference,[],[1538,20])).
% 42.81/42.88 cnf(3844,plain,
% 42.81/42.88 (P4(f4(a1),a3,f4(a1))),
% 42.81/42.88 inference(scs_inference,[],[95,21])).
% 42.81/42.88 cnf(3879,plain,
% 42.81/42.88 (P4(f5(a3),a3,a3)),
% 42.81/42.88 inference(scs_inference,[],[4,2,18])).
% 42.81/42.88 cnf(3889,plain,
% 42.81/42.88 (P4(a3,f5(a3),a3)),
% 42.81/42.88 inference(scs_inference,[],[4,1772,2,3844,18,26,25,96,205,21])).
% 42.81/42.88 cnf(4658,plain,
% 42.81/42.88 (~P1(f5(a3))+~P4(a1,f5(a3),a1)),
% 42.81/42.88 inference(scs_inference,[],[5,3694,3889,27,12])).
% 42.81/42.88 cnf(4671,plain,
% 42.81/42.88 (~P4(f5(a3),a1,a1)+~P1(f5(a3))),
% 42.81/42.88 inference(scs_inference,[],[4658,21])).
% 42.81/42.88 cnf(4687,plain,
% 42.81/42.88 (~P4(f5(a3),a1,a1)),
% 42.81/42.88 inference(scs_inference,[],[4,2,4671,14])).
% 42.81/42.88 cnf(4690,plain,
% 42.81/42.88 ($false),
% 42.81/42.88 inference(scs_inference,[],[3879,1,4687,25,12]),
% 42.81/42.88 ['proof']).
% 42.81/42.88 % SZS output end Proof
% 42.81/42.88 % Total time :42.170000s
%------------------------------------------------------------------------------