TSTP Solution File: ANA045-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ANA045-2 : 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 : n008.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 17:13:28 EDT 2023
% Result : Unsatisfiable 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA045-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.34 % Computer : n008.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Fri Aug 25 18:36:32 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.010000s
% 0.20/0.63 % Output :CNFRefutation 0.010000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 % File : ANA045-2 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.64 % Domain : Analysis
% 0.20/0.64 % Problem : Problem about Big-O notation
% 0.20/0.64 % Version : [Pau06] axioms : Reduced > Especial.
% 0.20/0.64 % English :
% 0.20/0.64
% 0.20/0.64 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.20/0.64 % Source : [Pau06]
% 0.20/0.64 % Names :
% 0.20/0.64
% 0.20/0.64 % Status : Unsatisfiable
% 0.20/0.64 % 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, 0.29 v3.2.0
% 0.20/0.64 % Syntax : Number of clauses : 5 ( 2 unt; 0 nHn; 3 RR)
% 0.20/0.64 % Number of literals : 8 ( 1 equ; 4 neg)
% 0.20/0.64 % Maximal clause size : 2 ( 1 avg)
% 0.20/0.64 % Maximal term depth : 5 ( 1 avg)
% 0.20/0.64 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty)
% 0.20/0.64 % Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% 0.20/0.64 % Number of variables : 6 ( 1 sgn)
% 0.20/0.64 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.20/0.64
% 0.20/0.64 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.20/0.64 % of which only a small selection are required for the refutation.
% 0.20/0.64 % The mission is to find those few axioms, after which a refutation
% 0.20/0.64 % can be quite easily found. This version has only the necessary
% 0.20/0.64 % axioms.
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 cnf(cls_conjecture_0,negated_conjecture,
% 0.20/0.64 ~ c_lessequals(c_0,c_times(V_U,c_HOL_Oabs(v_g(v_x(V_U)),t_b),t_b),t_b) ).
% 0.20/0.64
% 0.20/0.64 cnf(tfree_tcs,negated_conjecture,
% 0.20/0.64 class_Ring__and__Field_Oordered__idom(t_b) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
% 0.20/0.64 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
% 0.20/0.64 | c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(cls_Ring__and__Field_Omult__cancel__right1_2,axiom,
% 0.20/0.64 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.20/0.64 | V_c = c_times(c_1,V_c,T_a) ) ).
% 0.20/0.64
% 0.20/0.64 cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
% 0.20/0.64 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 0.20/0.64 | class_OrderedGroup_Olordered__ab__group__abs(T) ) ).
% 0.20/0.64
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark
% 0.20/0.64 % SZS output start Proof
% 0.20/0.64 %ClaNum:20(EqnAxiom:15)
% 0.20/0.64 %VarNum:12(SingletonVarNum:6)
% 0.20/0.64 %MaxLitNum:2
% 0.20/0.64 %MaxfuncDepth:4
% 0.20/0.64 %SharedTerms:4
% 0.20/0.64 %goalClause: 16 17
% 0.20/0.64 %singleGoalClaCount:2
% 0.20/0.64 [16]P1(a1)
% 0.20/0.64 [17]~P2(a2,f5(x171,f3(f7(f6(x171)),a1),a1),a1)
% 0.20/0.64 [18]~P1(x181)+P3(x181)
% 0.20/0.64 [19]~P1(x192)+E(f5(a4,x191,x192),x191)
% 0.20/0.64 [20]~P3(x202)+P2(a2,f3(x201,x202),x202)
% 0.20/0.64 %EqnAxiom
% 0.20/0.64 [1]E(x11,x11)
% 0.20/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.64 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 0.20/0.64 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 0.20/0.64 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.20/0.64 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.20/0.64 [8]~E(x81,x82)+E(f5(x81,x83,x84),f5(x82,x83,x84))
% 0.20/0.64 [9]~E(x91,x92)+E(f5(x93,x91,x94),f5(x93,x92,x94))
% 0.20/0.64 [10]~E(x101,x102)+E(f5(x103,x104,x101),f5(x103,x104,x102))
% 0.20/0.64 [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 0.20/0.64 [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124)
% 0.20/0.64 [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134)
% 0.20/0.64 [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141)
% 0.20/0.64 [15]~P3(x151)+P3(x152)+~E(x151,x152)
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 cnf(22,plain,
% 0.20/0.64 (P2(a2,f3(x221,a1),a1)),
% 0.20/0.64 inference(scs_inference,[],[16,18,20])).
% 0.20/0.64 cnf(23,plain,
% 0.20/0.64 (E(f5(a4,x231,a1),x231)),
% 0.20/0.64 inference(scs_inference,[],[16,18,20,19])).
% 0.20/0.64 cnf(36,plain,
% 0.20/0.64 (E(a1,f5(a4,a1,a1))),
% 0.20/0.64 inference(scs_inference,[],[16,17,18,20,19,10,9,8,7,6,5,4,15,14,13,2])).
% 0.20/0.64 cnf(54,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[17,22,23,36,14,13,2]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.010000s
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