%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD008-4 : 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 : n029.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 58.61s 58.66s
% Output : CNFRefutation 58.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : FLD008-4 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n029.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 11:29:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 58.56/58.65 %-------------------------------------------
% 58.56/58.65 % File :CSE---1.7
% 58.56/58.65 % Problem :theBenchmark
% 58.56/58.65 % Transform :cnf
% 58.56/58.65 % Format :tptp:raw
% 58.56/58.65 % Command :java -jar mcs_scs.jar %d %s
% 58.56/58.65
% 58.56/58.65 % Result :Theorem 58.040000s
% 58.56/58.65 % Output :CNFRefutation 58.040000s
% 58.56/58.65 %-------------------------------------------
% 58.61/58.65 %--------------------------------------------------------------------------
% 58.61/58.65 % File : FLD008-4 : TPTP v8.2.0. Bugfixed v2.1.0.
% 58.61/58.65 % Domain : Field Theory (Ordered fields)
% 58.61/58.65 % Problem : Compatibility of operation and inverse in the additive group
% 58.61/58.65 % Version : [Dra93] axioms : Especial.
% 58.61/58.65 % Theorem formulation : Relational with re axiom set.
% 58.61/58.65 % English :
% 58.61/58.65
% 58.61/58.66 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 58.61/58.66 % Source : [Dra93]
% 58.61/58.66 % Names :
% 58.61/58.66
% 58.61/58.66 % Status : Unsatisfiable
% 58.61/58.66 % Rating : 0.00 v8.1.0, 0.14 v7.5.0, 0.00 v7.0.0, 0.12 v6.3.0, 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, 0.18 v5.0.0, 0.21 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, 0.40 v2.4.0, 0.60 v2.3.0, 0.33 v2.2.1, 1.00 v2.1.0
% 58.61/58.66 % Syntax : Number of clauses : 33 ( 10 unt; 3 nHn; 33 RR)
% 58.61/58.66 % Number of literals : 84 ( 0 equ; 50 neg)
% 58.61/58.66 % Maximal clause size : 5 ( 2 avg)
% 58.61/58.66 % Maximal term depth : 2 ( 1 avg)
% 58.61/58.66 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 58.61/58.66 % Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% 58.61/58.66 % Number of variables : 73 ( 0 sgn)
% 58.61/58.66 % SPC : CNF_UNS_RFO_NEQ_NHN
% 58.61/58.66
% 58.61/58.66 % Comments :
% 58.61/58.66 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 58.61/58.66 %--------------------------------------------------------------------------
% 58.61/58.66 include('Axioms/FLD002-0.ax').
% 58.61/58.66 %--------------------------------------------------------------------------
% 58.61/58.66 cnf(a_is_defined,hypothesis,
% 58.61/58.66 defined(a) ).
% 58.61/58.66
% 58.61/58.66 cnf(b_is_defined,hypothesis,
% 58.61/58.66 defined(b) ).
% 58.61/58.66
% 58.61/58.66 cnf(c_is_defined,hypothesis,
% 58.61/58.66 defined(c) ).
% 58.61/58.66
% 58.61/58.66 cnf(d_is_defined,hypothesis,
% 58.61/58.66 defined(d) ).
% 58.61/58.66
% 58.61/58.66 cnf(sum_5,negated_conjecture,
% 58.61/58.66 sum(a,b,c) ).
% 58.61/58.66
% 58.61/58.66 cnf(sum_6,negated_conjecture,
% 58.61/58.66 sum(additive_inverse(a),additive_inverse(b),d) ).
% 58.61/58.66
% 58.61/58.66 cnf(not_sum_7,negated_conjecture,
% 58.61/58.66 ~ sum(additive_identity,additive_inverse(c),d) ).
% 58.61/58.66
% 58.61/58.66 %--------------------------------------------------------------------------
% 58.61/58.66 %-------------------------------------------
% 58.61/58.66 % Proof found
% 58.61/58.66 % SZS status Theorem for theBenchmark
% 58.61/58.66 % SZS output start Proof
% 58.61/58.66 %ClaNum:33(EqnAxiom:0)
% 58.61/58.66 %VarNum:162(SingletonVarNum:73)
% 58.61/58.66 %MaxLitNum:5
% 58.61/58.66 %MaxfuncDepth:1
% 58.61/58.66 %SharedTerms:19
% 58.61/58.66 %goalClause: 7 8 10
% 58.61/58.66 %singleGoalClaCount:3
% 58.61/58.66 [1]P1(a1)
% 58.61/58.66 [2]P1(a4)
% 58.61/58.66 [3]P1(a2)
% 58.61/58.66 [4]P1(a5)
% 58.61/58.66 [5]P1(a7)
% 58.61/58.66 [6]P1(a8)
% 58.61/58.66 [7]P2(a2,a5,a7)
% 58.61/58.66 [9]~P2(a1,a1,a4)
% 58.61/58.66 [8]P2(f6(a2),f6(a5),a8)
% 58.61/58.66 [10]~P2(a1,f6(a7),a8)
% 58.61/58.66 [16]~P1(x161)+P2(a1,x161,x161)
% 58.61/58.66 [17]~P1(x171)+P4(a4,x171,x171)
% 58.61/58.66 [11]~P1(x111)+P1(f6(x111))
% 58.61/58.66 [18]~P1(x181)+P2(f6(x181),x181,a1)
% 58.61/58.66 [25]~P2(x252,x251,x253)+P2(x251,x252,x253)
% 58.61/58.66 [26]~P4(x262,x261,x263)+P4(x261,x262,x263)
% 58.61/58.66 [19]~P1(x191)+P2(a1,x191,a1)+P1(f10(x191))
% 58.61/58.66 [23]~P1(x231)+P4(f10(x231),x231,a4)+P2(a1,x231,a1)
% 58.61/58.66 [22]~P3(x222,x221)+~P3(x221,x222)+P2(a1,x221,x222)
% 58.61/58.66 [13]~P1(x132)+~P1(x131)+P1(f3(x131,x132))
% 58.61/58.66 [14]~P1(x142)+~P1(x141)+P1(f9(x141,x142))
% 58.61/58.66 [20]~P1(x202)+~P1(x201)+P2(x201,x202,f3(x201,x202))
% 58.61/58.66 [21]~P1(x212)+~P1(x211)+P4(x211,x212,f9(x211,x212))
% 58.61/58.66 [15]~P3(x151,x153)+P3(x151,x152)+~P3(x153,x152)
% 58.61/58.66 [12]P3(x122,x121)+~P1(x121)+~P1(x122)+P3(x121,x122)
% 58.61/58.66 [24]~P4(x243,x242,x241)+P3(a1,x241)+~P3(a1,x242)+~P3(a1,x243)
% 58.61/58.66 [27]~P2(x273,x275,x271)+P3(x271,x272)+~P2(x274,x275,x272)+~P3(x273,x274)
% 58.61/58.66 [28]~P2(x281,x286,x284)+P2(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x285,x282)
% 58.61/58.66 [29]~P2(x296,x294,x291)+P2(x291,x292,x293)+~P2(x294,x292,x295)+~P2(x296,x295,x293)
% 58.61/58.66 [30]~P4(x301,x306,x304)+P4(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x305,x302)
% 58.61/58.66 [31]~P4(x316,x314,x311)+P4(x311,x312,x313)+~P4(x314,x312,x315)+~P4(x316,x315,x313)
% 58.61/58.66 [32]~P4(x325,x327,x322)+~P4(x324,x327,x321)+P2(x321,x322,x323)+~P2(x324,x325,x326)+~P4(x326,x327,x323)
% 58.61/58.66 [33]~P4(x337,x332,x335)+~P4(x336,x332,x334)+P4(x331,x332,x333)+~P2(x334,x335,x333)+~P2(x336,x337,x331)
% 58.61/58.66 %EqnAxiom
% 58.61/58.66
% 58.61/58.66 %-------------------------------------------
% 58.65/58.67 cnf(34,plain,
% 58.65/58.67 (~P2(f6(a7),a1,a8)),
% 58.65/58.67 inference(scs_inference,[],[10,25])).
% 58.65/58.67 cnf(36,plain,
% 58.65/58.67 (P3(a1,a1)),
% 58.65/58.67 inference(scs_inference,[],[10,1,25,12])).
% 58.65/58.67 cnf(48,plain,
% 58.65/58.67 (P3(a2,a2)),
% 58.65/58.67 inference(scs_inference,[],[3,12])).
% 58.65/58.67 cnf(50,plain,
% 58.65/58.67 (P3(a7,a7)),
% 58.65/58.67 inference(scs_inference,[],[7,3,12,27])).
% 58.65/58.67 cnf(52,plain,
% 58.65/58.67 (P2(a7,x521,a7)+~P2(a5,x521,a5)),
% 58.65/58.67 inference(scs_inference,[],[7,3,12,27,29])).
% 58.65/58.67 cnf(69,plain,
% 58.65/58.67 (~P1(f6(a2))+P2(a1,a8,a8)),
% 58.65/58.67 inference(scs_inference,[],[8,28,16])).
% 58.65/58.67 cnf(74,plain,
% 58.65/58.67 (~P4(a5,x741,a5)+~P4(a2,x741,a2)+P4(a7,x741,a7)),
% 58.65/58.67 inference(scs_inference,[],[7,50,33])).
% 58.65/58.67 cnf(195,plain,
% 58.65/58.67 (P2(a8,a1,a8)+~P1(f6(a2))),
% 58.65/58.67 inference(scs_inference,[],[69,25])).
% 58.65/58.67 cnf(211,plain,
% 58.65/58.67 (P2(a8,a1,a8)),
% 58.65/58.67 inference(scs_inference,[],[3,195,11])).
% 58.65/58.67 cnf(269,plain,
% 58.65/58.67 (~P2(x2691,a5,a5)+P2(a7,x2691,a7)),
% 58.65/58.67 inference(scs_inference,[],[52,25])).
% 58.65/58.67 cnf(348,plain,
% 58.65/58.67 (P2(x3481,a7,a7)+~P2(x3481,a5,a5)),
% 58.65/58.67 inference(scs_inference,[],[269,25])).
% 58.65/58.67 cnf(384,plain,
% 58.65/58.67 (P2(a1,a7,a7)),
% 58.65/58.67 inference(scs_inference,[],[4,348,16])).
% 58.65/58.67 cnf(1196,plain,
% 58.65/58.67 (~P2(x11961,a8,f6(a7))+~P2(x11961,a1,a1)),
% 58.65/58.67 inference(scs_inference,[],[34,211,29,25])).
% 58.65/58.67 cnf(1515,plain,
% 58.65/58.67 (~P4(x15151,a2,a2)+P4(a7,x15151,a7)+~P4(a5,x15151,a5)),
% 58.65/58.67 inference(scs_inference,[],[74,26])).
% 58.65/58.67 cnf(1547,plain,
% 58.65/58.67 (P4(x15471,a7,a7)+~P4(a5,x15471,a5)+~P4(x15471,a2,a2)),
% 58.65/58.67 inference(scs_inference,[],[1515,26])).
% 58.65/58.67 cnf(1579,plain,
% 58.65/58.67 (~P4(x15791,a5,a5)+~P4(x15791,a2,a2)+P4(x15791,a7,a7)),
% 58.65/58.67 inference(scs_inference,[],[1547,26])).
% 58.65/58.67 cnf(1611,plain,
% 58.65/58.67 (P4(a4,a7,a7)+~P4(a4,a5,a5)),
% 58.65/58.67 inference(scs_inference,[],[3,1579,17])).
% 58.65/58.67 cnf(1627,plain,
% 58.65/58.67 (P4(a7,a4,a7)+~P4(a4,a5,a5)),
% 58.65/58.67 inference(scs_inference,[],[1611,26])).
% 58.65/58.67 cnf(1643,plain,
% 58.65/58.67 (P4(a7,x16431,a7)+~P4(a4,x16431,a4)+~P4(a4,a5,a5)),
% 58.65/58.67 inference(scs_inference,[],[1627,31])).
% 58.65/58.67 cnf(1659,plain,
% 58.65/58.67 (~P4(x16591,a4,a4)+P4(a7,x16591,a7)+~P4(a4,a5,a5)),
% 58.65/58.67 inference(scs_inference,[],[1643,26])).
% 58.65/58.67 cnf(1675,plain,
% 58.65/58.67 (P4(x16751,a7,a7)+~P4(x16751,a4,a4)+~P4(a4,a5,a5)),
% 58.65/58.67 inference(scs_inference,[],[1659,26])).
% 58.65/58.67 cnf(1691,plain,
% 58.65/58.67 (~P4(a4,x16911,a4)+P4(x16911,a7,a7)+~P4(a4,a5,a5)),
% 58.65/58.67 inference(scs_inference,[],[1675,26])).
% 58.65/58.67 cnf(1707,plain,
% 58.65/58.67 (P4(x17071,a7,a7)+~P4(a4,x17071,a4)),
% 58.65/58.67 inference(scs_inference,[],[4,1691,17])).
% 58.65/58.67 cnf(1723,plain,
% 58.65/58.67 (P4(a4,a7,a7)),
% 58.65/58.67 inference(scs_inference,[],[2,1707,17])).
% 58.65/58.67 cnf(1724,plain,
% 58.65/58.67 (~P4(x17241,a4,a4)+P4(x17241,a7,a7)),
% 58.65/58.67 inference(scs_inference,[],[1723,30])).
% 58.65/58.67 cnf(1745,plain,
% 58.65/58.67 (P4(a7,x17451,a7)+~P4(x17451,a4,a4)),
% 58.65/58.67 inference(scs_inference,[],[1724,26])).
% 58.65/58.67 cnf(1791,plain,
% 58.65/58.67 (P4(a7,a4,a7)),
% 58.65/58.67 inference(scs_inference,[],[2,1745,17])).
% 58.65/58.67 cnf(3502,plain,
% 58.65/58.67 (P2(a1,f6(a7),f6(a7))),
% 58.65/58.67 inference(scs_inference,[],[5,11,16])).
% 58.65/58.67 cnf(3606,plain,
% 58.65/58.67 (P2(a5,a2,a7)),
% 58.65/58.67 inference(scs_inference,[],[7,25])).
% 58.65/58.67 cnf(3623,plain,
% 58.65/58.67 (P2(f6(a7),a1,f6(a7))),
% 58.65/58.67 inference(scs_inference,[],[3502,25])).
% 58.65/58.67 cnf(5378,plain,
% 58.65/58.67 (P2(a1,f6(a2),f6(a2))),
% 58.65/58.67 inference(scs_inference,[],[3,11,16])).
% 58.65/58.67 cnf(5379,plain,
% 58.65/58.67 (P2(f6(a2),a1,f6(a2))),
% 58.65/58.67 inference(scs_inference,[],[5378,25])).
% 58.65/58.67 cnf(6593,plain,
% 58.65/58.67 (~P2(a1,a8,f6(a7))),
% 58.65/58.67 inference(scs_inference,[],[1,16,1196])).
% 58.65/58.67 cnf(6609,plain,
% 58.65/58.67 (P2(a1,f9(a7,a7),f9(a7,a7))),
% 58.65/58.67 inference(scs_inference,[],[5,16,14])).
% 58.65/58.67 cnf(7408,plain,
% 58.65/58.67 (~P4(a1,a4,x74081)+P2(x74081,a7,a7)),
% 58.65/58.67 inference(scs_inference,[],[384,1791,32])).
% 58.65/58.67 cnf(7424,plain,
% 58.65/58.67 (P2(a7,x74241,a7)+~P4(a1,a4,x74241)),
% 58.65/58.67 inference(scs_inference,[],[7408,25])).
% 58.65/58.67 cnf(7440,plain,
% 58.65/58.67 (P2(a7,f9(a1,a4),a7)),
% 58.65/58.67 inference(scs_inference,[],[2,1,7424,21])).
% 58.65/58.67 cnf(9746,plain,
% 58.65/58.67 (~P2(f6(a7),x97461,a1)+~P2(x97461,a8,a1)),
% 58.65/58.67 inference(scs_inference,[],[6593,3623,29])).
% 58.65/58.67 cnf(9754,plain,
% 58.65/58.67 (~P2(a7,a8,a1)),
% 58.65/58.67 inference(scs_inference,[],[5,9746,18])).
% 58.65/58.67 cnf(9755,plain,
% 58.65/58.67 (~P2(a8,a7,a1)),
% 58.65/58.67 inference(scs_inference,[],[9754,25])).
% 58.65/58.67 cnf(9798,plain,
% 58.65/58.67 (~P2(a8,a5,x97981)+~P2(x97981,a2,a1)),
% 58.65/58.67 inference(scs_inference,[],[9755,3606,28])).
% 58.65/58.67 cnf(9835,plain,
% 58.65/58.67 (P1(f6(a5))),
% 58.65/58.67 inference(scs_inference,[],[4,11])).
% 58.65/58.67 cnf(9843,plain,
% 58.65/58.67 (P2(a1,a5,a5)),
% 58.65/58.67 inference(scs_inference,[],[4,11,17,26,18,16])).
% 58.65/58.67 cnf(9861,plain,
% 58.65/58.67 (P4(f3(a5,a5),a4,f3(a5,a5))),
% 58.65/58.67 inference(scs_inference,[],[7440,48,6609,4,36,5379,8,11,17,26,18,16,25,13,14,21,20,22,29,27,33])).
% 58.65/58.67 cnf(9863,plain,
% 58.65/58.67 (~P2(f6(a2),a2,a1)),
% 58.65/58.67 inference(scs_inference,[],[7440,48,6609,4,36,5379,8,11,17,26,18,16,25,13,14,21,20,22,29,27,33,9798])).
% 58.65/58.67 cnf(9889,plain,
% 58.65/58.67 (P1(f9(a1,a1))),
% 58.65/58.67 inference(scs_inference,[],[9843,9861,9835,1,11,17,26,16,18,25,13,21,14])).
% 58.65/58.67 cnf(9946,plain,
% 58.65/58.67 ($false),
% 58.65/58.67 inference(scs_inference,[],[9863,9889,3,11,17,18]),
% 58.65/58.67 ['proof']).
% 58.65/58.67 % SZS output end Proof
% 58.65/58.67 % Total time :58.040000s
%------------------------------------------------------------------------------