%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD036-3 : 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 : n021.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 05:55:21 EDT 2024
% Result : Unsatisfiable 54.66s 54.70s
% Output : CNFRefutation 54.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD036-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n021.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 11:39:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 54.66/54.68 %-------------------------------------------
% 54.66/54.68 % File :CSE---1.7
% 54.66/54.68 % Problem :theBenchmark
% 54.66/54.68 % Transform :cnf
% 54.66/54.68 % Format :tptp:raw
% 54.66/54.68 % Command :java -jar mcs_scs.jar %d %s
% 54.66/54.68
% 54.66/54.68 % Result :Theorem 54.080000s
% 54.66/54.69 % Output :CNFRefutation 54.080000s
% 54.66/54.69 %-------------------------------------------
% 54.66/54.69 %--------------------------------------------------------------------------
% 54.66/54.69 % File : FLD036-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 54.66/54.69 % Domain : Field Theory (Ordered fields)
% 54.66/54.69 % Problem : Only a multiplication by zero can make elements equal
% 54.66/54.69 % Version : [Dra93] axioms : Especial.
% 54.66/54.69 % Theorem formulation : Functional with re axiom set.
% 54.66/54.69 % English :
% 54.66/54.69
% 54.66/54.69 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 54.66/54.69 % Source : [Dra93]
% 54.66/54.69 % Names :
% 54.66/54.69
% 54.66/54.69 % Status : Unsatisfiable
% 54.66/54.69 % Rating : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.25 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, 0.67 v2.1.0
% 54.66/54.69 % Syntax : Number of clauses : 34 ( 11 unt; 3 nHn; 34 RR)
% 54.66/54.69 % Number of literals : 85 ( 0 equ; 51 neg)
% 54.66/54.69 % Maximal clause size : 5 ( 2 avg)
% 54.66/54.69 % Maximal term depth : 2 ( 1 avg)
% 54.66/54.69 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 54.66/54.69 % Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% 54.66/54.69 % Number of variables : 73 ( 0 sgn)
% 54.66/54.69 % SPC : CNF_UNS_RFO_NEQ_NHN
% 54.66/54.69
% 54.66/54.69 % Comments :
% 54.66/54.69 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 54.66/54.69 %--------------------------------------------------------------------------
% 54.66/54.69 include('Axioms/FLD002-0.ax').
% 54.66/54.69 %--------------------------------------------------------------------------
% 54.66/54.69 cnf(a_is_defined,hypothesis,
% 54.66/54.69 defined(a) ).
% 54.66/54.69
% 54.66/54.69 cnf(b_is_defined,hypothesis,
% 54.66/54.69 defined(b) ).
% 54.66/54.69
% 54.66/54.69 cnf(c_is_defined,hypothesis,
% 54.66/54.69 defined(c) ).
% 54.66/54.69
% 54.66/54.69 cnf(u_is_defined,hypothesis,
% 54.66/54.69 defined(u) ).
% 54.66/54.69
% 54.66/54.69 cnf(product_5,negated_conjecture,
% 54.66/54.69 product(a,c,u) ).
% 54.66/54.69
% 54.66/54.69 cnf(product_6,negated_conjecture,
% 54.66/54.69 product(b,c,u) ).
% 54.66/54.69
% 54.66/54.69 cnf(not_product_7,negated_conjecture,
% 54.66/54.69 ~ product(multiplicative_identity,a,b) ).
% 54.66/54.69
% 54.66/54.70 cnf(not_sum_8,negated_conjecture,
% 54.66/54.70 ~ sum(additive_identity,c,additive_identity) ).
% 54.66/54.70
% 54.66/54.70 %--------------------------------------------------------------------------
% 54.66/54.70 %-------------------------------------------
% 54.66/54.70 % Proof found
% 54.66/54.70 % SZS status Theorem for theBenchmark
% 54.66/54.70 % SZS output start Proof
% 54.66/54.70 %ClaNum:34(EqnAxiom:0)
% 54.66/54.70 %VarNum:162(SingletonVarNum:73)
% 54.66/54.70 %MaxLitNum:5
% 54.66/54.70 %MaxfuncDepth:1
% 54.66/54.70 %SharedTerms:17
% 54.66/54.70 %goalClause: 7 8 10 11
% 54.66/54.70 %singleGoalClaCount:4
% 54.66/54.70 [1]P1(a1)
% 54.66/54.70 [2]P1(a4)
% 54.66/54.70 [3]P1(a2)
% 54.66/54.70 [4]P1(a5)
% 54.66/54.70 [5]P1(a7)
% 54.66/54.70 [6]P1(a8)
% 54.66/54.70 [7]P2(a2,a7,a8)
% 54.66/54.70 [8]P2(a5,a7,a8)
% 54.66/54.70 [9]~P4(a1,a1,a4)
% 54.66/54.70 [10]~P4(a1,a7,a1)
% 54.66/54.70 [11]~P2(a4,a2,a5)
% 54.66/54.70 [17]~P1(x171)+P4(a1,x171,x171)
% 54.66/54.70 [18]~P1(x181)+P2(a4,x181,x181)
% 54.66/54.70 [12]~P1(x121)+P1(f6(x121))
% 54.66/54.70 [19]~P1(x191)+P4(f6(x191),x191,a1)
% 54.66/54.70 [26]~P4(x262,x261,x263)+P4(x261,x262,x263)
% 54.66/54.70 [27]~P2(x272,x271,x273)+P2(x271,x272,x273)
% 54.66/54.70 [20]~P1(x201)+P4(a1,x201,a1)+P1(f10(x201))
% 54.66/54.70 [24]~P1(x241)+P2(f10(x241),x241,a4)+P4(a1,x241,a1)
% 54.66/54.70 [23]~P3(x232,x231)+~P3(x231,x232)+P4(a1,x231,x232)
% 54.66/54.70 [14]~P1(x142)+~P1(x141)+P1(f3(x141,x142))
% 54.66/54.70 [15]~P1(x152)+~P1(x151)+P1(f9(x151,x152))
% 54.66/54.70 [21]~P1(x212)+~P1(x211)+P4(x211,x212,f3(x211,x212))
% 54.66/54.70 [22]~P1(x222)+~P1(x221)+P2(x221,x222,f9(x221,x222))
% 54.66/54.70 [16]~P3(x161,x163)+P3(x161,x162)+~P3(x163,x162)
% 54.66/54.70 [13]P3(x132,x131)+~P1(x131)+~P1(x132)+P3(x131,x132)
% 54.66/54.70 [25]~P2(x253,x252,x251)+P3(a1,x251)+~P3(a1,x252)+~P3(a1,x253)
% 54.66/54.70 [28]~P4(x283,x285,x281)+P3(x281,x282)+~P4(x284,x285,x282)+~P3(x283,x284)
% 54.66/54.70 [29]~P4(x291,x296,x294)+P4(x291,x292,x293)+~P4(x294,x295,x293)+~P4(x296,x295,x292)
% 54.66/54.70 [30]~P4(x306,x304,x301)+P4(x301,x302,x303)+~P4(x304,x302,x305)+~P4(x306,x305,x303)
% 54.66/54.70 [31]~P2(x311,x316,x314)+P2(x311,x312,x313)+~P2(x314,x315,x313)+~P2(x316,x315,x312)
% 54.66/54.70 [32]~P2(x326,x324,x321)+P2(x321,x322,x323)+~P2(x324,x322,x325)+~P2(x326,x325,x323)
% 54.66/54.70 [33]~P2(x335,x337,x332)+~P2(x334,x337,x331)+P4(x331,x332,x333)+~P4(x334,x335,x336)+~P2(x336,x337,x333)
% 54.66/54.70 [34]~P2(x347,x342,x345)+~P2(x346,x342,x344)+P2(x341,x342,x343)+~P4(x344,x345,x343)+~P4(x346,x347,x341)
% 54.66/54.70 %EqnAxiom
% 54.66/54.70
% 54.66/54.70 %-------------------------------------------
% 54.68/54.71 cnf(35,plain,
% 54.68/54.71 (~P2(a2,a4,a5)),
% 54.68/54.71 inference(scs_inference,[],[11,27])).
% 54.68/54.71 cnf(3760,plain,
% 54.68/54.71 (P2(a7,a5,a8)),
% 54.68/54.71 inference(scs_inference,[],[8,27])).
% 54.68/54.71 cnf(3798,plain,
% 54.68/54.71 (P2(f10(a7),a7,a4)),
% 54.68/54.71 inference(scs_inference,[],[10,5,24])).
% 54.68/54.71 cnf(3813,plain,
% 54.68/54.71 (~P2(a8,f10(a7),a5)),
% 54.68/54.71 inference(scs_inference,[],[7,35,3798,27,31])).
% 54.68/54.71 cnf(7579,plain,
% 54.68/54.71 ($false),
% 54.68/54.71 inference(scs_inference,[],[3760,3813,3798,4,27,31,18]),
% 54.68/54.71 ['proof']).
% 54.68/54.71 % SZS output end Proof
% 54.68/54.71 % Total time :54.080000s
%------------------------------------------------------------------------------