TSTP Solution File: ANA021-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ANA021-2 : 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 : n017.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 17:13:20 EDT 2023
% Result : Unsatisfiable 0.75s 0.82s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA021-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 17:53:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.75/0.81 %-------------------------------------------
% 0.75/0.81 % File :CSE---1.6
% 0.75/0.81 % Problem :theBenchmark
% 0.75/0.81 % Transform :cnf
% 0.75/0.81 % Format :tptp:raw
% 0.75/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.75/0.81
% 0.75/0.81 % Result :Theorem 0.200000s
% 0.75/0.81 % Output :CNFRefutation 0.200000s
% 0.75/0.81 %-------------------------------------------
% 0.75/0.82 %------------------------------------------------------------------------------
% 0.75/0.82 % File : ANA021-2 : TPTP v8.1.2. Released v3.2.0.
% 0.75/0.82 % Domain : Analysis
% 0.75/0.82 % Problem : Problem about Big-O notation
% 0.75/0.82 % Version : [Pau06] axioms : Reduced > Especial.
% 0.75/0.82 % English :
% 0.75/0.82
% 0.75/0.82 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.75/0.82 % Source : [Pau06]
% 0.75/0.82 % Names :
% 0.75/0.82
% 0.75/0.82 % Status : Unsatisfiable
% 0.75/0.82 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.20 v5.3.0, 0.28 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.23 v4.0.1, 0.27 v3.7.0, 0.00 v3.5.0, 0.18 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0
% 0.75/0.82 % Syntax : Number of clauses : 5 ( 3 unt; 1 nHn; 3 RR)
% 0.75/0.82 % Number of literals : 7 ( 3 equ; 3 neg)
% 0.75/0.82 % Maximal clause size : 2 ( 1 avg)
% 0.75/0.82 % Maximal term depth : 5 ( 2 avg)
% 0.75/0.82 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.75/0.82 % Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% 0.75/0.82 % Number of variables : 3 ( 0 sgn)
% 0.75/0.82 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.75/0.82
% 0.75/0.82 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.75/0.82 % of which only a small selection are required for the refutation.
% 0.75/0.82 % The mission is to find those few axioms, after which a refutation
% 0.75/0.82 % can be quite easily found. This version has only the necessary
% 0.75/0.82 % axioms.
% 0.75/0.82 %------------------------------------------------------------------------------
% 0.75/0.82 cnf(cls_NatBin_OSuc__pred_H_0,axiom,
% 0.75/0.82 ( ~ c_less(c_0,V_x,tc_nat)
% 0.75/0.82 | V_x = c_Suc(c_minus(V_x,c_1,tc_nat)) ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_Nat_Onot__gr0_0,axiom,
% 0.75/0.82 ( c_less(c_0,V_n,tc_nat)
% 0.75/0.82 | V_n = c_0 ) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_conjecture_2,negated_conjecture,
% 0.75/0.82 c_lessequals(c_HOL_Oabs(v_f(c_Suc(V_U)),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(V_U)),t_a),t_a),t_a) ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_conjecture_3,negated_conjecture,
% 0.75/0.82 v_x != c_0 ).
% 0.75/0.82
% 0.75/0.82 cnf(cls_conjecture_4,negated_conjecture,
% 0.75/0.82 ~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ).
% 0.75/0.82
% 0.75/0.82 %------------------------------------------------------------------------------
% 0.75/0.82 %-------------------------------------------
% 0.75/0.82 % Proof found
% 0.75/0.82 % SZS status Theorem for theBenchmark
% 0.75/0.82 % SZS output start Proof
% 0.75/0.82 %ClaNum:25(EqnAxiom:20)
% 0.75/0.82 %VarNum:7(SingletonVarNum:3)
% 0.75/0.82 %MaxLitNum:2
% 0.75/0.82 %MaxfuncDepth:4
% 0.75/0.82 %SharedTerms:13
% 0.75/0.82 %goalClause: 21 22 23
% 0.75/0.82 %singleGoalClaCount:3
% 0.75/0.82 [22]~E(a12,a3)
% 0.75/0.82 [23]~P1(f2(f5(a12),a6),f7(a9,f2(f11(a12),a6),a6),a6)
% 0.75/0.82 [21]P1(f2(f5(f1(x211)),a6),f7(a9,f2(f11(f1(x211)),a6),a6),a6)
% 0.75/0.82 [24]E(x241,a3)+P2(a3,x241,a10)
% 0.75/0.82 [25]~P2(a3,x251,a10)+E(f1(f8(x251,a4,a10)),x251)
% 0.75/0.82 %EqnAxiom
% 0.75/0.82 [1]E(x11,x11)
% 0.75/0.82 [2]E(x22,x21)+~E(x21,x22)
% 0.75/0.82 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.75/0.82 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.75/0.82 [5]~E(x51,x52)+E(f5(x51),f5(x52))
% 0.75/0.82 [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63))
% 0.75/0.82 [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72))
% 0.75/0.82 [8]~E(x81,x82)+E(f8(x81,x83,x84),f8(x82,x83,x84))
% 0.75/0.82 [9]~E(x91,x92)+E(f8(x93,x91,x94),f8(x93,x92,x94))
% 0.75/0.82 [10]~E(x101,x102)+E(f8(x103,x104,x101),f8(x103,x104,x102))
% 0.75/0.82 [11]~E(x111,x112)+E(f11(x111),f11(x112))
% 0.75/0.82 [12]~E(x121,x122)+E(f7(x121,x123,x124),f7(x122,x123,x124))
% 0.75/0.82 [13]~E(x131,x132)+E(f7(x133,x131,x134),f7(x133,x132,x134))
% 0.75/0.82 [14]~E(x141,x142)+E(f7(x143,x144,x141),f7(x143,x144,x142))
% 0.75/0.82 [15]P1(x152,x153,x154)+~E(x151,x152)+~P1(x151,x153,x154)
% 0.75/0.82 [16]P1(x163,x162,x164)+~E(x161,x162)+~P1(x163,x161,x164)
% 0.75/0.82 [17]P1(x173,x174,x172)+~E(x171,x172)+~P1(x173,x174,x171)
% 0.75/0.82 [18]P2(x182,x183,x184)+~E(x181,x182)+~P2(x181,x183,x184)
% 0.75/0.82 [19]P2(x193,x192,x194)+~E(x191,x192)+~P2(x193,x191,x194)
% 0.75/0.82 [20]P2(x203,x204,x202)+~E(x201,x202)+~P2(x203,x204,x201)
% 0.75/0.82
% 0.75/0.82 %-------------------------------------------
% 0.75/0.82 cnf(31,plain,
% 0.75/0.82 (E(f7(x311,x312,f1(f8(a12,a4,a10))),f7(x311,x312,a12))),
% 0.75/0.82 inference(scs_inference,[],[22,2,24,25,14])).
% 0.75/0.82 cnf(32,plain,
% 0.75/0.82 (E(f7(x321,f1(f8(a12,a4,a10)),x322),f7(x321,a12,x322))),
% 0.75/0.82 inference(scs_inference,[],[22,2,24,25,14,13])).
% 0.75/0.82 cnf(33,plain,
% 0.75/0.82 (E(f7(f1(f8(a12,a4,a10)),x331,x332),f7(a12,x331,x332))),
% 0.75/0.82 inference(scs_inference,[],[22,2,24,25,14,13,12])).
% 0.75/0.82 cnf(34,plain,
% 0.75/0.82 (E(f11(f1(f8(a12,a4,a10))),f11(a12))),
% 0.75/0.82 inference(scs_inference,[],[22,2,24,25,14,13,12,11])).
% 0.75/0.82 cnf(38,plain,
% 0.75/0.82 (E(f2(x381,f1(f8(a12,a4,a10))),f2(x381,a12))),
% 0.75/0.82 inference(scs_inference,[],[22,2,24,25,14,13,12,11,10,9,8,7])).
% 0.75/0.82 cnf(40,plain,
% 0.75/0.82 (E(f5(f1(f8(a12,a4,a10))),f5(a12))),
% 0.75/0.82 inference(scs_inference,[],[22,2,24,25,14,13,12,11,10,9,8,7,6,5])).
% 0.75/0.82 cnf(43,plain,
% 0.75/0.82 (~E(a3,f1(f8(a12,a4,a10)))),
% 0.75/0.82 inference(scs_inference,[],[22,23,2,24,25,14,13,12,11,10,9,8,7,6,5,4,17,3])).
% 0.75/0.82 cnf(57,plain,
% 0.75/0.82 (~E(f2(f11(f1(x571)),a6),f2(f11(a12),a6))+~E(f2(f5(f1(x571)),a6),f2(f5(a12),a6))),
% 0.75/0.82 inference(scs_inference,[],[21,23,31,32,2,3,15,16,13])).
% 0.75/0.82 cnf(63,plain,
% 0.75/0.82 (~E(f1(f8(a12,a4,a10)),a3)),
% 0.75/0.83 inference(scs_inference,[],[43,2])).
% 0.75/0.83 cnf(65,plain,
% 0.75/0.83 (E(f2(f7(f1(f8(a12,a4,a10)),x651,x652),x653),f2(f7(a12,x651,x652),x653))),
% 0.75/0.83 inference(scs_inference,[],[33,43,2,13,6])).
% 0.75/0.83 cnf(86,plain,
% 0.75/0.83 (P2(a3,f1(f8(a12,a4,a10)),a10)),
% 0.75/0.83 inference(scs_inference,[],[65,38,63,3,24])).
% 0.75/0.83 cnf(104,plain,
% 0.75/0.83 (~E(a3,f1(f8(f1(f8(a12,a4,a10)),a4,a10)))),
% 0.75/0.83 inference(scs_inference,[],[86,43,25,3])).
% 0.75/0.83 cnf(207,plain,
% 0.75/0.83 (~E(f2(f5(f1(f8(a12,a4,a10))),a6),f2(f5(a12),a6))),
% 0.75/0.83 inference(scs_inference,[],[34,104,6,13,3,57])).
% 0.75/0.83 cnf(215,plain,
% 0.75/0.83 ($false),
% 0.75/0.83 inference(scs_inference,[],[207,40,6]),
% 0.75/0.83 ['proof']).
% 0.75/0.83 % SZS output end Proof
% 0.75/0.83 % Total time :0.200000s
%------------------------------------------------------------------------------