TSTP Solution File: ANA025-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ANA025-2 : 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 17:13:21 EDT 2023
% Result : Unsatisfiable 0.19s 0.63s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA025-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 18:15:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % File :CSE---1.6
% 0.19/0.62 % Problem :theBenchmark
% 0.19/0.62 % Transform :cnf
% 0.19/0.62 % Format :tptp:raw
% 0.19/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.62
% 0.19/0.62 % Result :Theorem 0.000000s
% 0.19/0.62 % Output :CNFRefutation 0.000000s
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 % File : ANA025-2 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.62 % Domain : Analysis
% 0.19/0.62 % Problem : Problem about Big-O notation
% 0.19/0.62 % Version : [Pau06] axioms : Reduced > Especial.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.19/0.62 % Source : [Pau06]
% 0.19/0.62 % Names :
% 0.19/0.62
% 0.19/0.62 % Status : Unsatisfiable
% 0.19/0.62 % Rating : 0.00 v6.0.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.07 v4.1.0, 0.12 v4.0.1, 0.00 v4.0.0, 0.14 v3.4.0, 0.00 v3.2.0
% 0.19/0.62 % Syntax : Number of clauses : 12 ( 3 unt; 1 nHn; 10 RR)
% 0.19/0.62 % Number of literals : 27 ( 0 equ; 16 neg)
% 0.19/0.62 % Maximal clause size : 4 ( 2 avg)
% 0.19/0.62 % Maximal term depth : 4 ( 1 avg)
% 0.19/0.62 % Number of predicates : 7 ( 7 usr; 0 prp; 1-3 aty)
% 0.19/0.62 % Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% 0.19/0.62 % Number of variables : 20 ( 1 sgn)
% 0.19/0.62 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.19/0.62
% 0.19/0.62 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.19/0.62 % of which only a small selection are required for the refutation.
% 0.19/0.62 % The mission is to find those few axioms, after which a refutation
% 0.19/0.62 % can be quite easily found. This version has only the necessary
% 0.19/0.62 % axioms.
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
% 0.19/0.62 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
% 0.19/0.62 | c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_Orderings_Olinorder__not__le_0,axiom,
% 0.19/0.62 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.62 | c_less(V_y,V_x,T_a)
% 0.19/0.62 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
% 0.19/0.62 ( ~ class_Orderings_Olinorder(T_b)
% 0.19/0.62 | ~ c_lessequals(V_y,V_z,T_b)
% 0.19/0.62 | ~ c_lessequals(V_x,V_z,T_b)
% 0.19/0.62 | c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
% 0.19/0.62 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.62 | ~ c_lessequals(V_y,V_z,T_a)
% 0.19/0.62 | ~ c_lessequals(V_x,V_y,T_a)
% 0.19/0.62 | c_lessequals(V_x,V_z,T_a) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
% 0.19/0.62 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.62 | ~ c_less(V_x,V_y,T_a)
% 0.19/0.62 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_conjecture_2,negated_conjecture,
% 0.19/0.62 ~ c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) ).
% 0.19/0.62
% 0.19/0.62 cnf(cls_conjecture_3,negated_conjecture,
% 0.19/0.62 ~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ).
% 0.19/0.62
% 0.19/0.62 cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
% 0.19/0.62 ( ~ class_LOrder_Ojoin__semilorder(T)
% 0.19/0.62 | class_Orderings_Oorder(T) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_15,axiom,
% 0.19/0.63 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T)
% 0.19/0.63 | class_LOrder_Ojoin__semilorder(T) ) ).
% 0.19/0.63
% 0.19/0.63 cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
% 0.19/0.63 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 0.19/0.63 | class_Orderings_Olinorder(T) ) ).
% 0.19/0.63
% 0.19/0.63 cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
% 0.19/0.63 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 0.19/0.63 | class_OrderedGroup_Olordered__ab__group__abs(T) ) ).
% 0.19/0.63
% 0.19/0.63 cnf(tfree_tcs,negated_conjecture,
% 0.19/0.63 class_Ring__and__Field_Oordered__idom(t_b) ).
% 0.19/0.63
% 0.19/0.63 %------------------------------------------------------------------------------
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % Proof found
% 0.19/0.63 % SZS status Theorem for theBenchmark
% 0.19/0.63 % SZS output start Proof
% 0.19/0.63 %ClaNum:12(EqnAxiom:0)
% 0.19/0.63 %VarNum:48(SingletonVarNum:20)
% 0.19/0.63 %MaxLitNum:4
% 0.19/0.63 %MaxfuncDepth:3
% 0.19/0.63 %SharedTerms:13
% 0.19/0.63 %goalClause: 1 2 3
% 0.19/0.63 %singleGoalClaCount:3
% 0.19/0.63 [1]P1(a1)
% 0.19/0.63 [2]~P2(a2,f3(f7(a6),f8(a6),a1),a1)
% 0.19/0.63 [3]~P2(f4(f3(f7(a6),f8(a6),a1),a2,a1),f5(f3(f9(a6),f8(a6),a1),a1),a1)
% 0.19/0.63 [4]~P1(x41)+P4(x41)
% 0.19/0.63 [5]~P1(x51)+P6(x51)
% 0.19/0.63 [6]~P5(x61)+P7(x61)
% 0.19/0.63 [7]~P4(x71)+P5(x71)
% 0.19/0.63 [8]~P4(x82)+P2(a2,f5(x81,x82),x82)
% 0.19/0.63 [9]P3(x92,x91,x93)+~P6(x93)+P2(x91,x92,x93)
% 0.19/0.63 [10]~P7(x103)+~P3(x101,x102,x103)+P2(x101,x102,x103)
% 0.19/0.63 [11]~P7(x113)+~P2(x114,x112,x113)+P2(x111,x112,x113)+~P2(x111,x114,x113)
% 0.19/0.63 [12]~P6(x123)+~P2(x121,x124,x123)+~P2(x122,x124,x123)+P2(f4(x121,x122,x123),x124,x123)
% 0.19/0.63 %EqnAxiom
% 0.19/0.63
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 cnf(13,plain,
% 0.19/0.63 (P6(a1)),
% 0.19/0.63 inference(scs_inference,[],[1,5])).
% 0.19/0.63 cnf(14,plain,
% 0.19/0.63 (P4(a1)),
% 0.19/0.63 inference(scs_inference,[],[1,5,4])).
% 0.19/0.63 cnf(15,plain,
% 0.19/0.63 (P2(a2,f5(x151,a1),a1)),
% 0.19/0.63 inference(scs_inference,[],[1,5,4,8])).
% 0.19/0.63 cnf(19,plain,
% 0.19/0.63 (P2(f4(a2,a2,a1),f5(x191,a1),a1)),
% 0.19/0.63 inference(scs_inference,[],[1,2,5,4,8,9,12])).
% 0.19/0.63 cnf(23,plain,
% 0.19/0.63 (~P2(f4(f3(f7(a6),f8(a6),a1),a2,a1),a2,a1)+~P7(a1)),
% 0.19/0.63 inference(scs_inference,[],[1,2,3,5,4,8,9,12,10,11])).
% 0.19/0.63 cnf(27,plain,
% 0.19/0.63 (P7(a1)),
% 0.19/0.63 inference(scs_inference,[],[14,7,6])).
% 0.19/0.63 cnf(33,plain,
% 0.19/0.63 (P2(f3(f7(a6),f8(a6),a1),a2,a1)),
% 0.19/0.63 inference(scs_inference,[],[2,15,13,14,7,6,10,11,9])).
% 0.19/0.63 cnf(37,plain,
% 0.19/0.63 (~P2(f4(f3(f7(a6),f8(a6),a1),a2,a1),a2,a1)),
% 0.19/0.63 inference(scs_inference,[],[2,19,15,13,14,7,6,10,11,9,12,23])).
% 0.19/0.63 cnf(38,plain,
% 0.19/0.63 (P2(f3(f7(a6),f8(a6),a1),f5(x381,a1),a1)),
% 0.19/0.63 inference(scs_inference,[],[33,27,15,11])).
% 0.19/0.63 cnf(40,plain,
% 0.19/0.63 (P2(f4(f3(f7(a6),f8(a6),a1),f3(f7(a6),f8(a6),a1),a1),a2,a1)),
% 0.19/0.63 inference(scs_inference,[],[13,33,27,15,11,12])).
% 0.19/0.63 cnf(44,plain,
% 0.19/0.63 ($false),
% 0.19/0.63 inference(scs_inference,[],[3,13,40,37,38,27,15,11,12]),
% 0.19/0.63 ['proof']).
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------