%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD016-3 : 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 : n010.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 58.58s 58.64s
% Output : CNFRefutation 58.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : FLD016-3 : 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
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jun 19 10:59:54 EDT 2024
% 0.20/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 58.58/58.63 %-------------------------------------------
% 58.58/58.63 % File :CSE---1.7
% 58.58/58.63 % Problem :theBenchmark
% 58.58/58.63 % Transform :cnf
% 58.58/58.63 % Format :tptp:raw
% 58.58/58.63 % Command :java -jar mcs_scs.jar %d %s
% 58.58/58.63
% 58.58/58.63 % Result :Theorem 58.010000s
% 58.58/58.63 % Output :CNFRefutation 58.010000s
% 58.58/58.63 %-------------------------------------------
% 58.58/58.64 %--------------------------------------------------------------------------
% 58.58/58.64 % File : FLD016-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 58.58/58.64 % Domain : Field Theory (Ordered fields)
% 58.58/58.64 % Problem : Solutions of linear equations in the additive group are unique
% 58.58/58.64 % Version : [Dra93] axioms : Especial.
% 58.58/58.64 % Theorem formulation : Functional with re axiom set.
% 58.58/58.64 % English :
% 58.58/58.64
% 58.58/58.64 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 58.58/58.64 % Source : [Dra93]
% 58.58/58.64 % Names :
% 58.58/58.64
% 58.58/58.64 % Status : Unsatisfiable
% 58.58/58.64 % 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 v5.2.0, 0.10 v5.1.0, 0.09 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, 0.67 v2.1.0
% 58.58/58.64 % Syntax : Number of clauses : 33 ( 10 unt; 3 nHn; 33 RR)
% 58.58/58.64 % Number of literals : 84 ( 0 equ; 50 neg)
% 58.58/58.64 % Maximal clause size : 5 ( 2 avg)
% 58.58/58.64 % Maximal term depth : 2 ( 1 avg)
% 58.58/58.64 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 58.58/58.64 % Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% 58.58/58.64 % Number of variables : 73 ( 0 sgn)
% 58.58/58.64 % SPC : CNF_UNS_RFO_NEQ_NHN
% 58.58/58.64
% 58.58/58.64 % Comments :
% 58.58/58.64 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 58.58/58.64 %--------------------------------------------------------------------------
% 58.58/58.64 include('Axioms/FLD002-0.ax').
% 58.58/58.64 %--------------------------------------------------------------------------
% 58.58/58.64 cnf(a_is_defined,hypothesis,
% 58.58/58.64 defined(a) ).
% 58.58/58.64
% 58.58/58.64 cnf(b_is_defined,hypothesis,
% 58.58/58.64 defined(b) ).
% 58.58/58.64
% 58.58/58.64 cnf(u_is_defined,hypothesis,
% 58.58/58.64 defined(u) ).
% 58.58/58.64
% 58.58/58.64 cnf(v_is_defined,hypothesis,
% 58.58/58.64 defined(v) ).
% 58.58/58.64
% 58.58/58.64 cnf(sum_5,negated_conjecture,
% 58.58/58.64 sum(a,u,b) ).
% 58.58/58.64
% 58.58/58.64 cnf(sum_6,negated_conjecture,
% 58.58/58.64 sum(a,v,b) ).
% 58.58/58.64
% 58.58/58.64 cnf(not_sum_7,negated_conjecture,
% 58.58/58.64 ~ sum(additive_identity,u,v) ).
% 58.58/58.64
% 58.58/58.64 %--------------------------------------------------------------------------
% 58.58/58.64 %-------------------------------------------
% 58.58/58.64 % Proof found
% 58.58/58.64 % SZS status Theorem for theBenchmark
% 58.58/58.64 % SZS output start Proof
% 58.58/58.64 %ClaNum:33(EqnAxiom:0)
% 58.58/58.64 %VarNum:162(SingletonVarNum:73)
% 58.58/58.64 %MaxLitNum:5
% 58.58/58.64 %MaxfuncDepth:1
% 58.58/58.64 %SharedTerms:16
% 58.58/58.64 %goalClause: 7 8 10
% 58.58/58.64 %singleGoalClaCount:3
% 58.58/58.64 [1]P1(a1)
% 58.58/58.64 [2]P1(a4)
% 58.58/58.64 [3]P1(a2)
% 58.58/58.64 [4]P1(a5)
% 58.58/58.64 [5]P1(a7)
% 58.58/58.64 [6]P1(a10)
% 58.58/58.64 [7]P2(a2,a7,a5)
% 58.58/58.64 [8]P2(a2,a10,a5)
% 58.58/58.64 [9]~P2(a1,a1,a4)
% 58.58/58.64 [10]~P2(a1,a7,a10)
% 58.58/58.64 [16]~P1(x161)+P2(a1,x161,x161)
% 58.58/58.64 [17]~P1(x171)+P4(a4,x171,x171)
% 58.58/58.64 [11]~P1(x111)+P1(f6(x111))
% 58.58/58.64 [18]~P1(x181)+P2(f6(x181),x181,a1)
% 58.58/58.64 [25]~P2(x252,x251,x253)+P2(x251,x252,x253)
% 58.58/58.64 [26]~P4(x262,x261,x263)+P4(x261,x262,x263)
% 58.58/58.64 [19]~P1(x191)+P2(a1,x191,a1)+P1(f9(x191))
% 58.58/58.64 [23]~P1(x231)+P4(f9(x231),x231,a4)+P2(a1,x231,a1)
% 58.58/58.64 [22]~P3(x222,x221)+~P3(x221,x222)+P2(a1,x221,x222)
% 58.58/58.64 [13]~P1(x132)+~P1(x131)+P1(f3(x131,x132))
% 58.58/58.64 [14]~P1(x142)+~P1(x141)+P1(f8(x141,x142))
% 58.58/58.64 [20]~P1(x202)+~P1(x201)+P2(x201,x202,f3(x201,x202))
% 58.58/58.64 [21]~P1(x212)+~P1(x211)+P4(x211,x212,f8(x211,x212))
% 58.58/58.64 [15]~P3(x151,x153)+P3(x151,x152)+~P3(x153,x152)
% 58.58/58.64 [12]P3(x122,x121)+~P1(x121)+~P1(x122)+P3(x121,x122)
% 58.58/58.64 [24]~P4(x243,x242,x241)+P3(a1,x241)+~P3(a1,x242)+~P3(a1,x243)
% 58.58/58.64 [27]~P2(x273,x275,x271)+P3(x271,x272)+~P2(x274,x275,x272)+~P3(x273,x274)
% 58.58/58.64 [28]~P2(x281,x286,x284)+P2(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x285,x282)
% 58.58/58.64 [29]~P2(x296,x294,x291)+P2(x291,x292,x293)+~P2(x294,x292,x295)+~P2(x296,x295,x293)
% 58.58/58.64 [30]~P4(x301,x306,x304)+P4(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x305,x302)
% 58.58/58.64 [31]~P4(x316,x314,x311)+P4(x311,x312,x313)+~P4(x314,x312,x315)+~P4(x316,x315,x313)
% 58.58/58.64 [32]~P4(x325,x327,x322)+~P4(x324,x327,x321)+P2(x321,x322,x323)+~P2(x324,x325,x326)+~P4(x326,x327,x323)
% 58.58/58.64 [33]~P4(x337,x332,x335)+~P4(x336,x332,x334)+P4(x331,x332,x333)+~P2(x334,x335,x333)+~P2(x336,x337,x331)
% 58.58/58.64 %EqnAxiom
% 58.58/58.64
% 58.58/58.64 %-------------------------------------------
% 58.58/58.65 cnf(36,plain,
% 58.58/58.65 (P3(a1,a1)),
% 58.58/58.65 inference(scs_inference,[],[10,1,25,12])).
% 58.58/58.65 cnf(57,plain,
% 58.58/58.65 (P3(a7,a7)),
% 58.58/58.65 inference(scs_inference,[],[5,12])).
% 58.58/58.65 cnf(62,plain,
% 58.58/58.65 (P3(a10,a10)),
% 58.58/58.65 inference(scs_inference,[],[6,12])).
% 58.58/58.65 cnf(1997,plain,
% 58.58/58.65 (P2(a1,f6(a5),f6(a5))),
% 58.58/58.65 inference(scs_inference,[],[4,11,16])).
% 58.58/58.65 cnf(3209,plain,
% 58.58/58.65 (P2(f6(f6(a5)),f6(a5),a1)),
% 58.58/58.65 inference(scs_inference,[],[4,11,18])).
% 58.58/58.65 cnf(3215,plain,
% 58.58/58.65 (P2(a1,x32151,a1)+~P2(f6(a5),x32151,f6(a5))),
% 58.58/58.65 inference(scs_inference,[],[3209,29])).
% 58.58/58.65 cnf(3233,plain,
% 58.58/58.65 (P2(a1,a1,a1)),
% 58.58/58.65 inference(scs_inference,[],[1997,3215,25])).
% 58.58/58.65 cnf(3580,plain,
% 58.58/58.65 (~P2(a1,x35801,a7)+~P2(a1,x35801,a10)),
% 58.58/58.65 inference(scs_inference,[],[10,3233,28])).
% 58.58/58.65 cnf(3594,plain,
% 58.58/58.65 (~P2(a1,a10,a7)),
% 58.58/58.65 inference(scs_inference,[],[6,3580,16])).
% 58.58/58.65 cnf(3595,plain,
% 58.58/58.65 (~P2(a10,a1,a7)),
% 58.58/58.65 inference(scs_inference,[],[3594,25])).
% 58.58/58.65 cnf(3597,plain,
% 58.58/58.65 (~P2(a10,a1,x35971)+~P2(x35971,a1,a7)),
% 58.58/58.65 inference(scs_inference,[],[3233,3594,25,28])).
% 58.58/58.65 cnf(3618,plain,
% 58.58/58.65 (~P2(a1,x36181,a7)+~P2(a10,a1,x36181)),
% 58.58/58.65 inference(scs_inference,[],[3597,25])).
% 58.58/58.65 cnf(3646,plain,
% 58.58/58.65 (P2(a10,a2,a5)),
% 58.58/58.65 inference(scs_inference,[],[8,25])).
% 58.58/58.65 cnf(3666,plain,
% 58.58/58.65 (~P2(a1,f3(a10,a1),a7)),
% 58.58/58.65 inference(scs_inference,[],[1,6,3618,20])).
% 58.58/58.65 cnf(3669,plain,
% 58.58/58.65 (~P2(a1,x36691,f3(a10,a1))+~P2(a1,x36691,a7)),
% 58.58/58.65 inference(scs_inference,[],[3666,3233,22,28])).
% 58.58/58.65 cnf(3830,plain,
% 58.58/58.65 (~P2(x38301,a1,f3(a10,a1))+~P2(a1,x38301,a7)),
% 58.58/58.65 inference(scs_inference,[],[3669,25])).
% 58.58/58.65 cnf(3976,plain,
% 58.58/58.65 (~P2(a7,a1,f3(a10,a1))),
% 58.58/58.65 inference(scs_inference,[],[5,3830,16])).
% 58.58/58.65 cnf(5746,plain,
% 58.58/58.65 (~P2(a2,x57461,a1)+~P2(a5,x57461,a7)),
% 58.58/58.65 inference(scs_inference,[],[3595,3646,28])).
% 58.58/58.65 cnf(5799,plain,
% 58.58/58.65 (~P2(x57991,a5,a7)+~P2(a2,x57991,a1)),
% 58.58/58.65 inference(scs_inference,[],[5746,25])).
% 58.58/58.65 cnf(5847,plain,
% 58.58/58.65 (~P2(x58471,a2,a1)+~P2(x58471,a5,a7)),
% 58.58/58.65 inference(scs_inference,[],[5799,25])).
% 58.58/58.65 cnf(5895,plain,
% 58.58/58.65 (~P2(a5,x58951,a7)+~P2(x58951,a2,a1)),
% 58.58/58.65 inference(scs_inference,[],[5847,25])).
% 58.58/58.65 cnf(5935,plain,
% 58.58/58.65 (~P2(a5,f6(a2),a7)),
% 58.58/58.65 inference(scs_inference,[],[3,5895,18])).
% 58.58/58.65 cnf(7410,plain,
% 58.58/58.65 (~P2(f6(a2),a5,a7)),
% 58.58/58.65 inference(scs_inference,[],[5935,25])).
% 58.58/58.65 cnf(7419,plain,
% 58.58/58.65 (~P2(a1,a7,f3(a10,a1))),
% 58.58/58.65 inference(scs_inference,[],[3976,25])).
% 58.58/58.65 cnf(9773,plain,
% 58.58/58.65 (P1(f6(a2))),
% 58.58/58.65 inference(scs_inference,[],[3,11])).
% 58.58/58.65 cnf(9775,plain,
% 58.58/58.65 (P2(f6(a2),a2,a1)),
% 58.58/58.65 inference(scs_inference,[],[3,11,18])).
% 58.58/58.65 cnf(9793,plain,
% 58.58/58.65 (P2(a1,a7,a7)),
% 58.58/58.65 inference(scs_inference,[],[3,57,11,18,17,16,25,26,13,14,21,20,22])).
% 58.58/58.65 cnf(9795,plain,
% 58.58/58.65 (P4(f8(a2,a2),a4,f8(a2,a2))),
% 58.58/58.65 inference(scs_inference,[],[3,57,11,18,17,16,25,26,13,14,21,20,22,31])).
% 58.58/58.65 cnf(9833,plain,
% 58.58/58.65 ($false),
% 58.58/58.65 inference(scs_inference,[],[7,9793,9795,9773,9775,7410,7419,1,36,62,18,17,11,16,25,26,14,21,13,20,22,24,29,28]),
% 58.58/58.65 ['proof']).
% 58.58/58.65 % SZS output end Proof
% 58.58/58.65 % Total time :58.010000s
%------------------------------------------------------------------------------