TSTP Solution File: ANA013-2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ANA013-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n006.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 17:13:17 EDT 2023
% Result : Unsatisfiable 0.19s 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA013-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n006.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 : Fri Aug 25 18:44:37 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % File :CSE---1.6
% 0.19/0.60 % Problem :theBenchmark
% 0.19/0.60 % Transform :cnf
% 0.19/0.60 % Format :tptp:raw
% 0.19/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.60
% 0.19/0.60 % Result :Theorem 0.000000s
% 0.19/0.60 % Output :CNFRefutation 0.000000s
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 %------------------------------------------------------------------------------
% 0.19/0.60 % File : ANA013-2 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.60 % Domain : Analysis
% 0.19/0.60 % Problem : Problem about Big-O notation
% 0.19/0.61 % Version : [Pau06] axioms : Reduced > Especial.
% 0.19/0.61 % English :
% 0.19/0.61
% 0.19/0.61 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.19/0.61 % Source : [Pau06]
% 0.19/0.61 % Names :
% 0.19/0.61
% 0.19/0.61 % Status : Unsatisfiable
% 0.19/0.61 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v3.2.0
% 0.19/0.61 % Syntax : Number of clauses : 4 ( 2 unt; 0 nHn; 3 RR)
% 0.19/0.61 % Number of literals : 6 ( 0 equ; 3 neg)
% 0.19/0.61 % Maximal clause size : 2 ( 1 avg)
% 0.19/0.61 % Maximal term depth : 5 ( 2 avg)
% 0.19/0.61 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty)
% 0.19/0.61 % Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% 0.19/0.61 % Number of variables : 4 ( 0 sgn)
% 0.19/0.61 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.19/0.61
% 0.19/0.61 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.19/0.61 % of which only a small selection are required for the refutation.
% 0.19/0.61 % The mission is to find those few axioms, after which a refutation
% 0.19/0.61 % can be quite easily found. This version has only the necessary
% 0.19/0.61 % axioms.
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 cnf(cls_conjecture_0,negated_conjecture,
% 0.19/0.61 ~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),c_times(V_U,c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),t_b) ).
% 0.19/0.61
% 0.19/0.61 cnf(tfree_tcs,negated_conjecture,
% 0.19/0.61 class_Ring__and__Field_Oordered__idom(t_b) ).
% 0.19/0.61
% 0.19/0.61 cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
% 0.19/0.61 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.61 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
% 0.19/0.61 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 0.19/0.61 | class_Orderings_Oorder(T) ) ).
% 0.19/0.61
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % Proof found
% 0.19/0.61 % SZS status Theorem for theBenchmark
% 0.19/0.61 % SZS output start Proof
% 0.19/0.61 %ClaNum:4(EqnAxiom:0)
% 0.19/0.61 %VarNum:9(SingletonVarNum:4)
% 0.19/0.61 %MaxLitNum:2
% 0.19/0.61 %MaxfuncDepth:4
% 0.19/0.61 %SharedTerms:4
% 0.19/0.61 %goalClause: 1 2
% 0.19/0.61 %singleGoalClaCount:2
% 0.19/0.61 [1]P1(a1)
% 0.19/0.61 [2]~P2(f3(f2(a4,a1),f2(f6(f5(x21)),a1),a1),f3(x21,f2(f6(f5(x21)),a1),a1),a1)
% 0.19/0.61 [3]~P1(x31)+P3(x31)
% 0.19/0.61 [4]~P3(x42)+P2(x41,x41,x42)
% 0.19/0.61 %EqnAxiom
% 0.19/0.61
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 cnf(6,plain,
% 0.19/0.61 ($false),
% 0.19/0.61 inference(scs_inference,[],[1,2,4,3]),
% 0.19/0.61 ['proof']).
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time :0.000000s
%------------------------------------------------------------------------------