TSTP Solution File: FLD017-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD017-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n013.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 : Wed Aug 30 22:26:32 EDT 2023
% Result : Unsatisfiable 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD017-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n013.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 : Sun Aug 27 23:44:02 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % File :CSE---1.6
% 0.20/0.61 % Problem :theBenchmark
% 0.20/0.61 % Transform :cnf
% 0.20/0.61 % Format :tptp:raw
% 0.20/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.61
% 0.20/0.61 % Result :Theorem 0.000000s
% 0.20/0.61 % Output :CNFRefutation 0.000000s
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 % File : FLD017-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.20/0.61 % Domain : Field Theory (Ordered fields)
% 0.20/0.61 % Problem : Substitution of an element in additive equations
% 0.20/0.61 % Version : [Dra93] axioms : Especial.
% 0.20/0.61 % Theorem formulation : Functional with glxx axiom set.
% 0.20/0.61 % English :
% 0.20/0.61
% 0.20/0.61 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.20/0.61 % Source : [Dra93]
% 0.20/0.61 % Names :
% 0.20/0.61
% 0.20/0.61 % Status : Unsatisfiable
% 0.20/0.61 % Rating : 0.00 v7.4.0, 0.17 v7.0.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.20 v5.2.0, 0.00 v5.1.0, 0.09 v5.0.0, 0.29 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.2.1, 0.33 v2.1.0
% 0.20/0.61 % Syntax : Number of clauses : 34 ( 10 unt; 3 nHn; 34 RR)
% 0.20/0.61 % Number of literals : 80 ( 0 equ; 45 neg)
% 0.20/0.61 % Maximal clause size : 4 ( 2 avg)
% 0.20/0.61 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.61 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.20/0.61 % Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% 0.20/0.61 % Number of variables : 50 ( 0 sgn)
% 0.20/0.61 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.61
% 0.20/0.61 % Comments :
% 0.20/0.61 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 include('Axioms/FLD001-0.ax').
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 cnf(a_is_defined,hypothesis,
% 0.20/0.61 defined(a) ).
% 0.20/0.61
% 0.20/0.61 cnf(b_is_defined,hypothesis,
% 0.20/0.61 defined(b) ).
% 0.20/0.61
% 0.20/0.61 cnf(c_is_defined,hypothesis,
% 0.20/0.61 defined(c) ).
% 0.20/0.61
% 0.20/0.61 cnf(x_is_defined,hypothesis,
% 0.20/0.61 defined(x) ).
% 0.20/0.61
% 0.20/0.61 cnf(a_equals_x_5,negated_conjecture,
% 0.20/0.61 equalish(a,x) ).
% 0.20/0.61
% 0.20/0.61 cnf(add_equals_c_6,negated_conjecture,
% 0.20/0.61 equalish(add(a,b),c) ).
% 0.20/0.61
% 0.20/0.61 cnf(add_not_equal_to_c_7,negated_conjecture,
% 0.20/0.61 ~ equalish(add(x,b),c) ).
% 0.20/0.61
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark
% 0.20/0.61 % SZS output start Proof
% 0.20/0.61 %ClaNum:34(EqnAxiom:0)
% 0.20/0.61 %VarNum:128(SingletonVarNum:50)
% 0.20/0.61 %MaxLitNum:4
% 0.20/0.61 %MaxfuncDepth:2
% 0.20/0.61 %SharedTerms:18
% 0.20/0.61 %goalClause: 7 8 10
% 0.20/0.61 %singleGoalClaCount:3
% 0.20/0.61 [1]P1(a1)
% 0.20/0.61 [2]P1(a4)
% 0.20/0.61 [3]P1(a2)
% 0.20/0.61 [4]P1(a5)
% 0.20/0.61 [5]P1(a7)
% 0.20/0.61 [6]P1(a8)
% 0.20/0.61 [7]P2(a2,a8)
% 0.20/0.61 [9]~P2(a1,a4)
% 0.20/0.61 [8]P2(f3(a2,a5),a7)
% 0.20/0.61 [10]~P2(f3(a8,a5),a7)
% 0.20/0.61 [12]~P1(x121)+P2(x121,x121)
% 0.20/0.61 [11]~P1(x111)+P1(f6(x111))
% 0.20/0.61 [16]~P1(x161)+P2(f3(a1,x161),x161)
% 0.20/0.61 [17]~P1(x171)+P2(f10(a4,x171),x171)
% 0.20/0.61 [20]~P1(x201)+P2(f3(x201,f6(x201)),a1)
% 0.20/0.61 [14]~P2(x142,x141)+P2(x141,x142)
% 0.20/0.61 [13]~P1(x131)+P2(x131,a1)+P1(f9(x131))
% 0.20/0.61 [25]~P1(x251)+P2(x251,a1)+P2(f10(x251,f9(x251)),a4)
% 0.20/0.61 [22]~P3(x222,x221)+~P3(x221,x222)+P2(x221,x222)
% 0.20/0.62 [18]~P1(x182)+~P1(x181)+P1(f3(x181,x182))
% 0.20/0.62 [19]~P1(x192)+~P1(x191)+P1(f10(x191,x192))
% 0.20/0.62 [26]~P3(a1,x262)+~P3(a1,x261)+P3(a1,f10(x261,x262))
% 0.20/0.62 [27]~P1(x272)+~P1(x271)+P2(f3(x271,x272),f3(x272,x271))
% 0.20/0.62 [28]~P1(x282)+~P1(x281)+P2(f10(x281,x282),f10(x282,x281))
% 0.20/0.62 [21]~P2(x211,x213)+P2(x211,x212)+~P2(x213,x212)
% 0.20/0.62 [23]~P3(x233,x232)+P3(x231,x232)+~P2(x233,x231)
% 0.20/0.62 [24]~P3(x241,x243)+P3(x241,x242)+~P3(x243,x242)
% 0.20/0.62 [29]~P1(x292)+~P2(x291,x293)+P2(f3(x291,x292),f3(x293,x292))
% 0.20/0.62 [30]~P1(x302)+~P2(x301,x303)+P2(f10(x301,x302),f10(x303,x302))
% 0.20/0.62 [31]~P1(x312)+~P3(x311,x313)+P3(f3(x311,x312),f3(x313,x312))
% 0.20/0.62 [15]P3(x152,x151)+~P1(x151)+~P1(x152)+P3(x151,x152)
% 0.20/0.62 [32]~P1(x323)+~P1(x322)+~P1(x321)+P2(f3(x321,f3(x322,x323)),f3(f3(x321,x322),x323))
% 0.20/0.62 [33]~P1(x333)+~P1(x332)+~P1(x331)+P2(f10(x331,f10(x332,x333)),f10(f10(x331,x332),x333))
% 0.20/0.62 [34]~P1(x343)+~P1(x342)+~P1(x341)+P2(f3(f10(x341,x342),f10(x343,x342)),f10(f3(x341,x343),x342))
% 0.20/0.62 %EqnAxiom
% 0.20/0.62
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 cnf(37,plain,
% 0.20/0.62 (~P2(a8,a2)),
% 0.20/0.62 inference(scs_inference,[],[4,9,8,10,14,21,29])).
% 0.20/0.62 cnf(61,plain,
% 0.20/0.62 (P3(f3(a1,a1),f3(a1,a1))),
% 0.20/0.62 inference(scs_inference,[],[1,2,4,9,8,10,14,21,29,15,12,17,16,11,20,22,26,19,18,13,31])).
% 0.20/0.62 cnf(93,plain,
% 0.20/0.62 ($false),
% 0.20/0.62 inference(scs_inference,[],[7,3,61,37,18,31,29,27,33,32,34,14]),
% 0.20/0.62 ['proof']).
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------