TSTP Solution File: ANA044-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ANA044-2 : 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 : n022.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 0.18s 0.64s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ANA044-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Aug 25 18:35:40 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.57 start to proof:theBenchmark
% 0.18/0.63 %-------------------------------------------
% 0.18/0.63 % File :CSE---1.6
% 0.18/0.63 % Problem :theBenchmark
% 0.18/0.63 % Transform :cnf
% 0.18/0.63 % Format :tptp:raw
% 0.18/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.63
% 0.18/0.63 % Result :Theorem 0.010000s
% 0.18/0.63 % Output :CNFRefutation 0.010000s
% 0.18/0.63 %-------------------------------------------
% 0.18/0.64 %------------------------------------------------------------------------------
% 0.18/0.64 % File : ANA044-2 : TPTP v8.1.2. Released v3.2.0.
% 0.18/0.64 % Domain : Analysis
% 0.18/0.64 % Problem : Problem about Big-O notation
% 0.18/0.64 % Version : [Pau06] axioms : Reduced > Especial.
% 0.18/0.64 % English :
% 0.18/0.64
% 0.18/0.64 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.18/0.64 % Source : [Pau06]
% 0.18/0.64 % Names :
% 0.18/0.64
% 0.18/0.64 % Status : Unsatisfiable
% 0.18/0.64 % 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
% 0.18/0.64 % Syntax : Number of clauses : 8 ( 4 unt; 0 nHn; 6 RR)
% 0.18/0.64 % Number of literals : 15 ( 2 equ; 8 neg)
% 0.18/0.64 % Maximal clause size : 4 ( 1 avg)
% 0.18/0.64 % Maximal term depth : 5 ( 1 avg)
% 0.18/0.64 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 0.18/0.64 % Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% 0.18/0.64 % Number of variables : 10 ( 3 sgn)
% 0.18/0.64 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.18/0.64
% 0.18/0.64 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.18/0.64 % of which only a small selection are required for the refutation.
% 0.18/0.64 % The mission is to find those few axioms, after which a refutation
% 0.18/0.64 % can be quite easily found. This version has only the necessary
% 0.18/0.64 % axioms.
% 0.18/0.64 %------------------------------------------------------------------------------
% 0.18/0.64 cnf(cls_conjecture_0,negated_conjecture,
% 0.18/0.64 c_lessequals(c_0,v_l(V_U,V_V),t_b) ).
% 0.18/0.64
% 0.18/0.64 cnf(cls_conjecture_1,negated_conjecture,
% 0.18/0.64 c_lessequals(c_0,v_h(V_U),t_b) ).
% 0.18/0.64
% 0.18/0.64 cnf(cls_conjecture_3,negated_conjecture,
% 0.18/0.64 c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) ).
% 0.18/0.64
% 0.18/0.64 cnf(tfree_tcs,negated_conjecture,
% 0.18/0.64 class_Ring__and__Field_Oordered__idom(t_b) ).
% 0.18/0.64
% 0.18/0.64 cnf(cls_OrderedGroup_Oabs__of__nonneg_0,axiom,
% 0.18/0.64 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
% 0.18/0.64 | ~ c_lessequals(c_0,V_y,T_a)
% 0.18/0.64 | c_HOL_Oabs(V_y,T_a) = V_y ) ).
% 0.18/0.64
% 0.18/0.64 cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom,
% 0.18/0.64 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.18/0.64 | ~ c_lessequals(c_0,V_b,T_a)
% 0.18/0.64 | ~ c_lessequals(c_0,V_a,T_a)
% 0.18/0.64 | c_lessequals(c_0,c_times(V_a,V_b,T_a),T_a) ) ).
% 0.18/0.64
% 0.18/0.64 cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
% 0.18/0.64 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 0.18/0.64 | class_Ring__and__Field_Opordered__cancel__semiring(T) ) ).
% 0.18/0.64
% 0.18/0.64 cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
% 0.18/0.64 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 0.18/0.64 | class_OrderedGroup_Olordered__ab__group__abs(T) ) ).
% 0.18/0.64
% 0.18/0.64 %------------------------------------------------------------------------------
% 0.18/0.64 %-------------------------------------------
% 0.18/0.64 % Proof found
% 0.18/0.64 % SZS status Theorem for theBenchmark
% 0.18/0.64 % SZS output start Proof
% 0.18/0.64 %ClaNum:27(EqnAxiom:19)
% 0.18/0.64 %VarNum:22(SingletonVarNum:10)
% 0.18/0.64 %MaxLitNum:4
% 0.18/0.64 %MaxfuncDepth:4
% 0.18/0.64 %SharedTerms:11
% 0.18/0.64 %goalClause: 20 21 22 23
% 0.18/0.64 %singleGoalClaCount:4
% 0.18/0.64 [20]P1(a1)
% 0.18/0.64 [23]~E(f4(f3(f6(a8,a9),f5(f7(a8,a9)),a1),a1),f3(f6(a8,a9),f5(f7(a8,a9)),a1))
% 0.18/0.64 [21]P2(a2,f5(x211),a1)
% 0.18/0.64 [22]P2(a2,f6(x221,x222),a1)
% 0.18/0.64 [24]~P1(x241)+P3(x241)
% 0.18/0.64 [25]~P1(x251)+P4(x251)
% 0.18/0.64 [26]~P3(x262)+~P2(a2,x261,x262)+E(f4(x261,x262),x261)
% 0.18/0.64 [27]~P4(x273)+~P2(a2,x271,x273)+~P2(a2,x272,x273)+P2(a2,f3(x271,x272,x273),x273)
% 0.18/0.64 %EqnAxiom
% 0.18/0.64 [1]E(x11,x11)
% 0.18/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.18/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.18/0.64 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.18/0.64 [5]~E(x51,x52)+E(f6(x51,x53),f6(x52,x53))
% 0.18/0.64 [6]~E(x61,x62)+E(f6(x63,x61),f6(x63,x62))
% 0.18/0.64 [7]~E(x71,x72)+E(f3(x71,x73,x74),f3(x72,x73,x74))
% 0.18/0.64 [8]~E(x81,x82)+E(f3(x83,x81,x84),f3(x83,x82,x84))
% 0.18/0.64 [9]~E(x91,x92)+E(f3(x93,x94,x91),f3(x93,x94,x92))
% 0.18/0.64 [10]~E(x101,x102)+E(f7(x101,x103),f7(x102,x103))
% 0.18/0.64 [11]~E(x111,x112)+E(f7(x113,x111),f7(x113,x112))
% 0.18/0.64 [12]~E(x121,x122)+E(f4(x121,x123),f4(x122,x123))
% 0.18/0.64 [13]~E(x131,x132)+E(f4(x133,x131),f4(x133,x132))
% 0.18/0.64 [14]~P1(x141)+P1(x142)+~E(x141,x142)
% 0.18/0.64 [15]P2(x152,x153,x154)+~E(x151,x152)+~P2(x151,x153,x154)
% 0.18/0.64 [16]P2(x163,x162,x164)+~E(x161,x162)+~P2(x163,x161,x164)
% 0.18/0.64 [17]P2(x173,x174,x172)+~E(x171,x172)+~P2(x173,x174,x171)
% 0.18/0.64 [18]~P4(x181)+P4(x182)+~E(x181,x182)
% 0.18/0.64 [19]~P3(x191)+P3(x192)+~E(x191,x192)
% 0.18/0.64
% 0.18/0.64 %-------------------------------------------
% 0.18/0.65 cnf(29,plain,
% 0.18/0.65 (P4(a1)),
% 0.18/0.65 inference(scs_inference,[],[20,23,2,25])).
% 0.18/0.65 cnf(31,plain,
% 0.18/0.65 (P3(a1)),
% 0.18/0.65 inference(scs_inference,[],[20,23,2,25,24])).
% 0.18/0.65 cnf(34,plain,
% 0.18/0.65 (E(f4(f5(x341),a1),f5(x341))),
% 0.18/0.65 inference(scs_inference,[],[20,23,21,2,25,24,19,26])).
% 0.18/0.65 cnf(54,plain,
% 0.18/0.65 (~P2(a2,f3(f6(a8,a9),f5(f7(a8,a9)),a1),a1)),
% 0.18/0.65 inference(scs_inference,[],[23,34,31,13,12,11,10,9,8,7,6,5,4,26])).
% 0.18/0.65 cnf(68,plain,
% 0.18/0.65 ($false),
% 0.18/0.65 inference(scs_inference,[],[21,22,54,29,27]),
% 0.18/0.65 ['proof']).
% 0.18/0.65 % SZS output end Proof
% 0.18/0.65 % Total time :0.010000s
%------------------------------------------------------------------------------