TSTP Solution File: ANA024-2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ANA024-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n002.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 17:13:21 EDT 2023
% Result : Unsatisfiable 0.21s 0.59s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA024-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 18:43:02 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.54 start to proof:theBenchmark
% 0.21/0.59 %-------------------------------------------
% 0.21/0.59 % File :CSE---1.6
% 0.21/0.59 % Problem :theBenchmark
% 0.21/0.59 % Transform :cnf
% 0.21/0.59 % Format :tptp:raw
% 0.21/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.59
% 0.21/0.59 % Result :Theorem 0.000000s
% 0.21/0.59 % Output :CNFRefutation 0.000000s
% 0.21/0.59 %-------------------------------------------
% 0.21/0.59 %------------------------------------------------------------------------------
% 0.21/0.59 % File : ANA024-2 : TPTP v8.1.2. Released v3.2.0.
% 0.21/0.59 % Domain : Analysis
% 0.21/0.59 % Problem : Problem about Big-O notation
% 0.21/0.59 % Version : [Pau06] axioms : Reduced > Especial.
% 0.21/0.59 % English :
% 0.21/0.59
% 0.21/0.59 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.21/0.59 % Source : [Pau06]
% 0.21/0.59 % Names :
% 0.21/0.59
% 0.21/0.59 % Status : Unsatisfiable
% 0.21/0.59 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v5.1.0, 0.14 v5.0.0, 0.29 v4.1.0, 0.22 v4.0.1, 0.33 v3.7.0, 0.17 v3.3.0, 0.14 v3.2.0
% 0.21/0.59 % Syntax : Number of clauses : 7 ( 3 unt; 0 nHn; 5 RR)
% 0.21/0.59 % Number of literals : 12 ( 1 equ; 6 neg)
% 0.21/0.59 % Maximal clause size : 3 ( 1 avg)
% 0.21/0.59 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.59 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 0.21/0.59 % Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% 0.21/0.59 % Number of variables : 10 ( 0 sgn)
% 0.21/0.59 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.21/0.59
% 0.21/0.59 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.21/0.59 % of which only a small selection are required for the refutation.
% 0.21/0.59 % The mission is to find those few axioms, after which a refutation
% 0.21/0.59 % can be quite easily found. This version has only the necessary
% 0.21/0.59 % axioms.
% 0.21/0.59 %------------------------------------------------------------------------------
% 0.21/0.59 cnf(cls_OrderedGroup_Ocompare__rls__10_0,axiom,
% 0.21/0.59 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.21/0.59 | V_a = c_plus(c_minus(V_a,V_b,T_a),V_b,T_a) ) ).
% 0.21/0.59
% 0.21/0.59 cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
% 0.21/0.59 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.21/0.59 | ~ c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a)
% 0.21/0.59 | c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a) ) ).
% 0.21/0.59
% 0.21/0.59 cnf(cls_conjecture_1,negated_conjecture,
% 0.21/0.59 c_lessequals(v_k(V_U),v_f(V_U),t_b) ).
% 0.21/0.59
% 0.21/0.59 cnf(cls_conjecture_3,negated_conjecture,
% 0.21/0.59 ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ).
% 0.21/0.59
% 0.21/0.59 cnf(clsrel_OrderedGroup_Opordered__ab__group__add_0,axiom,
% 0.21/0.59 ( ~ class_OrderedGroup_Opordered__ab__group__add(T)
% 0.21/0.59 | class_OrderedGroup_Oab__group__add(T) ) ).
% 0.21/0.59
% 0.21/0.59 cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
% 0.21/0.59 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 0.21/0.59 | class_OrderedGroup_Opordered__ab__group__add(T) ) ).
% 0.21/0.59
% 0.21/0.59 cnf(tfree_tcs,negated_conjecture,
% 0.21/0.59 class_Ring__and__Field_Oordered__idom(t_b) ).
% 0.21/0.59
% 0.21/0.59 %------------------------------------------------------------------------------
% 0.21/0.59 %-------------------------------------------
% 0.21/0.59 % Proof found
% 0.21/0.59 % SZS status Theorem for theBenchmark
% 0.21/0.59 % SZS output start Proof
% 0.21/0.59 %ClaNum:25(EqnAxiom:18)
% 0.21/0.59 %VarNum:24(SingletonVarNum:10)
% 0.21/0.59 %MaxLitNum:3
% 0.21/0.59 %MaxfuncDepth:2
% 0.21/0.59 %SharedTerms:9
% 0.21/0.59 %goalClause: 19 20 21
% 0.21/0.59 %singleGoalClaCount:3
% 0.21/0.59 [19]P1(a1)
% 0.21/0.59 [21]~P2(f2(f4(a7),f6(a7),a1),f2(f5(a7),f6(a7),a1),a1)
% 0.21/0.59 [20]P2(f4(x201),f5(x201),a1)
% 0.21/0.59 [22]~P4(x221)+P3(x221)
% 0.21/0.59 [23]~P1(x231)+P4(x231)
% 0.21/0.59 [24]~P3(x243)+E(f3(f2(x241,x242,x243),x242,x243),x241)
% 0.21/0.59 [25]~P4(x254)+~P2(f3(x251,x253,x254),x252,x254)+P2(x251,f2(x252,x253,x254),x254)
% 0.21/0.59 %EqnAxiom
% 0.21/0.59 [1]E(x11,x11)
% 0.21/0.59 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.59 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.59 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 0.21/0.59 [5]~E(x51,x52)+E(f5(x51),f5(x52))
% 0.21/0.59 [6]~E(x61,x62)+E(f3(x61,x63,x64),f3(x62,x63,x64))
% 0.21/0.59 [7]~E(x71,x72)+E(f3(x73,x71,x74),f3(x73,x72,x74))
% 0.21/0.59 [8]~E(x81,x82)+E(f3(x83,x84,x81),f3(x83,x84,x82))
% 0.21/0.59 [9]~E(x91,x92)+E(f6(x91),f6(x92))
% 0.21/0.59 [10]~E(x101,x102)+E(f2(x101,x103,x104),f2(x102,x103,x104))
% 0.21/0.59 [11]~E(x111,x112)+E(f2(x113,x111,x114),f2(x113,x112,x114))
% 0.21/0.59 [12]~E(x121,x122)+E(f2(x123,x124,x121),f2(x123,x124,x122))
% 0.21/0.59 [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 0.21/0.59 [14]P2(x142,x143,x144)+~E(x141,x142)+~P2(x141,x143,x144)
% 0.21/0.59 [15]P2(x153,x152,x154)+~E(x151,x152)+~P2(x153,x151,x154)
% 0.21/0.59 [16]P2(x163,x164,x162)+~E(x161,x162)+~P2(x163,x164,x161)
% 0.21/0.59 [17]~P4(x171)+P4(x172)+~E(x171,x172)
% 0.21/0.59 [18]~P3(x181)+P3(x182)+~E(x181,x182)
% 0.21/0.59
% 0.21/0.59 %-------------------------------------------
% 0.21/0.60 cnf(26,plain,
% 0.21/0.60 (P4(a1)),
% 0.21/0.60 inference(scs_inference,[],[19,23])).
% 0.21/0.60 cnf(28,plain,
% 0.21/0.60 (E(f3(f2(x281,x282,a1),x282,a1),x281)),
% 0.21/0.60 inference(scs_inference,[],[19,23,22,24])).
% 0.21/0.60 cnf(30,plain,
% 0.21/0.60 (~E(a1,x301)+P3(x301)),
% 0.21/0.60 inference(scs_inference,[],[19,23,22,24,18])).
% 0.21/0.60 cnf(32,plain,
% 0.21/0.60 (E(a1,f3(f2(a1,x321,a1),x321,a1))),
% 0.21/0.60 inference(scs_inference,[],[19,21,23,22,24,18,16,2])).
% 0.21/0.60 cnf(51,plain,
% 0.21/0.60 (E(f3(f2(x511,x512,a1),x512,a1),x511)),
% 0.21/0.60 inference(rename_variables,[],[28])).
% 0.21/0.60 cnf(55,plain,
% 0.21/0.60 (P2(f4(x551),f5(x551),a1)),
% 0.21/0.60 inference(rename_variables,[],[20])).
% 0.21/0.60 cnf(58,plain,
% 0.21/0.60 ($false),
% 0.21/0.60 inference(scs_inference,[],[19,20,55,21,28,51,32,26,30,12,11,10,9,8,7,6,5,4,17,13,3,25,15,14,2]),
% 0.21/0.60 ['proof']).
% 0.21/0.60 % SZS output end Proof
% 0.21/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------