TSTP Solution File: SET858-2 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SET858-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n009.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 : 600s
% DateTime : Tue Jul 19 02:17:58 EDT 2022
% Result : Unsatisfiable 2.46s 2.71s
% Output : CNFRefutation 2.53s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))),
input ).
fof(cls_Zorn_OAbrial__axiom1_0_0,plain,
! [T_a,V_S,V_x] :
( c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a)))
| $false ),
inference(orientation,[status(thm)],[cls_Zorn_OAbrial__axiom1_0]) ).
fof(def_lhs_atom1,axiom,
! [V_x,V_S,T_a] :
( lhs_atom1(V_x,V_S,T_a)
<=> c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [T_a,V_S,V_x] :
( lhs_atom1(V_x,V_S,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Zorn_OAbrial__axiom1_0_0,def_lhs_atom1]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X2,X3] :
( lhs_atom1(X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_1,plain,
! [X1,X2,X3] : lhs_atom1(X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2,plain,
! [X4,X5,X6] : lhs_atom1(X4,X5,X6),
inference(variable_rename,[status(thm)],[c_0_1]) ).
cnf(c_0_3,plain,
lhs_atom1(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,plain,
lhs_atom1(X1,X2,X3),
c_0_3,
[final] ).
% End CNF derivation
cnf(c_0_4_0,axiom,
c_lessequals(X1,c_Zorn_Osucc(X2,X1,X3),tc_set(tc_set(X3))),
inference(unfold_definition,[status(thm)],[c_0_4,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X5,X1,X3,X4] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X5,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_lessequals(c_Zorn_Osucc(X3,c_Zorn_OTFin__linear__lemma1__1(X3,X1,X4),X4),X1,tc_set(tc_set(X4)))
| c_lessequals(X5,X1,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X5,tc_set(tc_set(X4))) ),
file('<stdin>',cls_Zorn_OTFin__linear__lemma1_3) ).
fof(c_0_1_002,axiom,
! [X5,X1,X3,X4] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X5,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X3,X1,X4),c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| c_lessequals(X5,X1,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X5,tc_set(tc_set(X4))) ),
file('<stdin>',cls_Zorn_OTFin__linear__lemma1_0) ).
fof(c_0_2_003,axiom,
! [X5,X1,X3,X4] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X5,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| c_lessequals(X5,X1,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X3,X1,X4),X1,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X5,tc_set(tc_set(X4))) ),
file('<stdin>',cls_Zorn_OTFin__linear__lemma1_1) ).
fof(c_0_3_004,axiom,
! [X5,X1,X3,X4] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X5,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| c_Zorn_OTFin__linear__lemma1__1(X3,X1,X4) != X1
| c_lessequals(X5,X1,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X5,tc_set(tc_set(X4))) ),
file('<stdin>',cls_Zorn_OTFin__linear__lemma1_2) ).
fof(c_0_4_005,axiom,
! [X1,X2,X3,X4] :
( ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_lessequals(X2,X1,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X2,X4),X1,tc_set(tc_set(X4)))
| X2 = X1 ),
file('<stdin>',cls_Zorn_OTFin__linear__lemma2_0) ).
fof(c_0_5,axiom,
! [X6,X7,X8,X4] :
( ~ c_lessequals(X7,X6,tc_set(X4))
| ~ c_lessequals(X8,X7,tc_set(X4))
| c_lessequals(X8,X6,tc_set(X4)) ),
file('<stdin>',cls_Set_Osubset__trans_0) ).
fof(c_0_6,plain,
! [X5,X1,X3,X4] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X5,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_lessequals(c_Zorn_Osucc(X3,c_Zorn_OTFin__linear__lemma1__1(X3,X1,X4),X4),X1,tc_set(tc_set(X4)))
| c_lessequals(X5,X1,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X5,tc_set(tc_set(X4))) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_7,plain,
! [X5,X1,X3,X4] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X5,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X3,X1,X4),c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| c_lessequals(X5,X1,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X5,tc_set(tc_set(X4))) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_8,plain,
! [X5,X1,X3,X4] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X5,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| c_lessequals(X5,X1,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X3,X1,X4),X1,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X5,tc_set(tc_set(X4))) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_9,plain,
! [X5,X1,X3,X4] :
( ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X5,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| c_Zorn_OTFin__linear__lemma1__1(X3,X1,X4) != X1
| c_lessequals(X5,X1,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X5,tc_set(tc_set(X4))) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_10,plain,
! [X1,X2,X3,X4] :
( ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_lessequals(X2,X1,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X2,X4),X1,tc_set(tc_set(X4)))
| X2 = X1 ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_11,plain,
! [X6,X7,X8,X4] :
( ~ c_lessequals(X7,X6,tc_set(X4))
| ~ c_lessequals(X8,X7,tc_set(X4))
| c_lessequals(X8,X6,tc_set(X4)) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_12,plain,
! [X6,X7,X8,X9] :
( ~ c_in(X7,c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))
| ~ c_in(X6,c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))
| ~ c_lessequals(c_Zorn_Osucc(X8,c_Zorn_OTFin__linear__lemma1__1(X8,X7,X9),X9),X7,tc_set(tc_set(X9)))
| c_lessequals(X6,X7,tc_set(tc_set(X9)))
| c_lessequals(c_Zorn_Osucc(X8,X7,X9),X6,tc_set(tc_set(X9))) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
fof(c_0_13,plain,
! [X6,X7,X8,X9] :
( ~ c_in(X7,c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))
| ~ c_in(X6,c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X8,X7,X9),c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))
| c_lessequals(X6,X7,tc_set(tc_set(X9)))
| c_lessequals(c_Zorn_Osucc(X8,X7,X9),X6,tc_set(tc_set(X9))) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
fof(c_0_14,plain,
! [X6,X7,X8,X9] :
( ~ c_in(X7,c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))
| ~ c_in(X6,c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))
| c_lessequals(X6,X7,tc_set(tc_set(X9)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X8,X7,X9),X7,tc_set(tc_set(X9)))
| c_lessequals(c_Zorn_Osucc(X8,X7,X9),X6,tc_set(tc_set(X9))) ),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_15,plain,
! [X6,X7,X8,X9] :
( ~ c_in(X7,c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))
| ~ c_in(X6,c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))
| c_Zorn_OTFin__linear__lemma1__1(X8,X7,X9) != X7
| c_lessequals(X6,X7,tc_set(tc_set(X9)))
| c_lessequals(c_Zorn_Osucc(X8,X7,X9),X6,tc_set(tc_set(X9))) ),
inference(variable_rename,[status(thm)],[c_0_9]) ).
fof(c_0_16,plain,
! [X5,X6,X7,X8] :
( ~ c_in(X6,c_Zorn_OTFin(X7,X8),tc_set(tc_set(X8)))
| ~ c_in(X5,c_Zorn_OTFin(X7,X8),tc_set(tc_set(X8)))
| ~ c_lessequals(X6,X5,tc_set(tc_set(X8)))
| c_lessequals(c_Zorn_Osucc(X7,X6,X8),X5,tc_set(tc_set(X8)))
| X6 = X5 ),
inference(variable_rename,[status(thm)],[c_0_10]) ).
fof(c_0_17,plain,
! [X9,X10,X11,X12] :
( ~ c_lessequals(X10,X9,tc_set(X12))
| ~ c_lessequals(X11,X10,tc_set(X12))
| c_lessequals(X11,X9,tc_set(X12)) ),
inference(variable_rename,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X3),X2,tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X2,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3) != X2
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( X1 = X2
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X1,X4,tc_set(X3))
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X3),X2,tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
c_0_18,
[final] ).
cnf(c_0_25,plain,
( c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
c_0_19,
[final] ).
cnf(c_0_26,plain,
( c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X2,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
c_0_20,
[final] ).
cnf(c_0_27,plain,
( c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3) != X2
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
c_0_21,
[final] ).
cnf(c_0_28,plain,
( X1 = X2
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4))) ),
c_0_22,
[final] ).
cnf(c_0_29,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X1,X4,tc_set(X3))
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
c_0_23,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_24_0,axiom,
( c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X3),X2,tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_24_1,axiom,
( c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X3),X2,tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_24_2,axiom,
( ~ c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X3),X2,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_24_3,axiom,
( ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X3),X2,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_24_4,axiom,
( ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Osucc(X1,c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X3),X2,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_25_0,axiom,
( c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_25]) ).
cnf(c_0_25_1,axiom,
( c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_25]) ).
cnf(c_0_25_2,axiom,
( c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_25]) ).
cnf(c_0_25_3,axiom,
( ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_25]) ).
cnf(c_0_25_4,axiom,
( ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_25]) ).
cnf(c_0_26_0,axiom,
( c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X2,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_1,axiom,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_2,axiom,
( c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_3,axiom,
( ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_4,axiom,
( ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3),X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_27_0,axiom,
( c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3) != X2
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_27_1,axiom,
( c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3) != X2
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_27_2,axiom,
( c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3) != X2
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_27_3,axiom,
( ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3) != X2
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3)))
| ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_27_4,axiom,
( ~ c_in(X2,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| ~ c_in(X4,c_Zorn_OTFin(X1,X3),tc_set(tc_set(X3)))
| c_Zorn_OTFin__linear__lemma1__1(X1,X2,X3) != X2
| c_lessequals(X4,X2,tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Osucc(X1,X2,X3),X4,tc_set(tc_set(X3))) ),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_28_0,axiom,
( X1 = X2
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4))) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_1,axiom,
( c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4))) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_2,axiom,
( ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| X1 = X2
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4))) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_3,axiom,
( ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| X1 = X2
| ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4))) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_4,axiom,
( ~ c_in(X1,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_in(X2,c_Zorn_OTFin(X3,X4),tc_set(tc_set(X4)))
| ~ c_lessequals(X1,X2,tc_set(tc_set(X4)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X4),X2,tc_set(tc_set(X4)))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_29_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X1,X4,tc_set(X3))
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_1,axiom,
( ~ c_lessequals(X1,X4,tc_set(X3))
| c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_2,axiom,
( ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_lessequals(X1,X4,tc_set(X3))
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_006,negated_conjecture,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
file('<stdin>',cls_conjecture_3) ).
fof(c_0_1_007,negated_conjecture,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
file('<stdin>',cls_conjecture_2) ).
fof(c_0_2_008,negated_conjecture,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('<stdin>',cls_conjecture_1) ).
fof(c_0_3_009,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('<stdin>',cls_conjecture_0) ).
fof(c_0_4_010,negated_conjecture,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_5_011,negated_conjecture,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_6_012,negated_conjecture,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
c_0_2 ).
fof(c_0_7_013,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
c_0_3 ).
fof(c_0_8_014,negated_conjecture,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
c_0_4 ).
fof(c_0_9_015,negated_conjecture,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
c_0_5 ).
fof(c_0_10_016,negated_conjecture,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
c_0_6 ).
fof(c_0_11_017,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
c_0_7 ).
cnf(c_0_12_018,negated_conjecture,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13_019,negated_conjecture,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14_020,negated_conjecture,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15_021,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16_022,negated_conjecture,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
c_0_12,
[final] ).
cnf(c_0_17_023,negated_conjecture,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
c_0_13,
[final] ).
cnf(c_0_18_024,negated_conjecture,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
c_0_14,
[final] ).
cnf(c_0_19_025,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
c_0_15,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_19,plain,
( c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2) != X1
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_29460b.p',c_0_27_4) ).
cnf(c_86,plain,
( c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2) != X1
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2))) ),
inference(copy,[status(esa)],[c_19]) ).
cnf(c_40353,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) != v_n ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_40775,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) != v_n ),
inference(instantiation,[status(thm)],[c_40353]) ).
cnf(c_28,plain,
c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_29460b.p',c_0_4_0) ).
cnf(c_95,plain,
c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
inference(copy,[status(esa)],[c_28]) ).
cnf(c_40249,plain,
c_lessequals(v_n,c_Zorn_Osucc(X0,v_n,t_a),tc_set(tc_set(t_a))),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_40682,plain,
c_lessequals(v_n,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a))),
inference(instantiation,[status(thm)],[c_40249]) ).
cnf(c_24,plain,
( X0 = X1
| c_lessequals(c_Zorn_Osucc(X2,X0,X3),X1,tc_set(tc_set(X3)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X0,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_29460b.p',c_0_28_4) ).
cnf(c_91,plain,
( X0 = X1
| c_lessequals(c_Zorn_Osucc(X2,X0,X3),X1,tc_set(tc_set(X3)))
| ~ c_lessequals(X0,X1,tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X0,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
inference(copy,[status(esa)],[c_24]) ).
cnf(c_40104,plain,
( c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(X0,t_a),tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) = v_n ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_40281,plain,
( c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) = v_n ),
inference(instantiation,[status(thm)],[c_40104]) ).
cnf(c_27,plain,
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X0,X3,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_29460b.p',c_0_29_2) ).
cnf(c_94,plain,
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X0,X3,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2)) ),
inference(copy,[status(esa)],[c_27]) ).
cnf(c_40048,plain,
( ~ c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
| ~ c_lessequals(X1,c_Zorn_Osucc(X0,X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X1,X3,tc_set(tc_set(X2))) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_40203,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_n,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_40048]) ).
cnf(c_4,plain,
( c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X2),X1,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_29460b.p',c_0_24_4) ).
cnf(c_71,plain,
( c_lessequals(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X2),X1,tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2))) ),
inference(copy,[status(esa)],[c_4]) ).
cnf(c_40096,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_40138,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_40096]) ).
cnf(c_5,plain,
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_29460b.p',c_0_25_0) ).
cnf(c_72,plain,
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
inference(copy,[status(esa)],[c_5]) ).
cnf(c_40070,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_40103,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_40070]) ).
cnf(c_10,plain,
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_29460b.p',c_0_26_0) ).
cnf(c_77,plain,
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2))) ),
inference(copy,[status(esa)],[c_10]) ).
cnf(c_40056,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_n,tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_40099,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_40056]) ).
cnf(c_29,negated_conjecture,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_29460b.p',c_0_16) ).
cnf(c_30,negated_conjecture,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_29460b.p',c_0_17) ).
cnf(c_31,negated_conjecture,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_29460b.p',c_0_18) ).
cnf(c_32,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_29460b.p',c_0_19) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_40775,c_40682,c_40281,c_40203,c_40138,c_40103,c_40099,c_29,c_30,c_31,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET858-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : iprover_modulo %s %d
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 00:59:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Running in mono-core mode
% 0.21/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.42 % Orientation found
% 0.21/0.42 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_82864b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_29460b.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_6fd676 | grep -v "SZS"
% 0.21/0.45
% 0.21/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % ------ iProver source info
% 0.21/0.45
% 0.21/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.45 % git: non_committed_changes: true
% 0.21/0.45 % git: last_make_outside_of_git: true
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % ------ Input Options
% 0.21/0.45
% 0.21/0.45 % --out_options all
% 0.21/0.45 % --tptp_safe_out true
% 0.21/0.45 % --problem_path ""
% 0.21/0.45 % --include_path ""
% 0.21/0.45 % --clausifier .//eprover
% 0.21/0.45 % --clausifier_options --tstp-format
% 0.21/0.45 % --stdin false
% 0.21/0.45 % --dbg_backtrace false
% 0.21/0.45 % --dbg_dump_prop_clauses false
% 0.21/0.45 % --dbg_dump_prop_clauses_file -
% 0.21/0.45 % --dbg_out_stat false
% 0.21/0.45
% 0.21/0.45 % ------ General Options
% 0.21/0.45
% 0.21/0.45 % --fof false
% 0.21/0.45 % --time_out_real 150.
% 0.21/0.45 % --time_out_prep_mult 0.2
% 0.21/0.45 % --time_out_virtual -1.
% 0.21/0.45 % --schedule none
% 0.21/0.45 % --ground_splitting input
% 0.21/0.45 % --splitting_nvd 16
% 0.21/0.45 % --non_eq_to_eq false
% 0.21/0.45 % --prep_gs_sim true
% 0.21/0.45 % --prep_unflatten false
% 0.21/0.45 % --prep_res_sim true
% 0.21/0.45 % --prep_upred true
% 0.21/0.45 % --res_sim_input true
% 0.21/0.45 % --clause_weak_htbl true
% 0.21/0.45 % --gc_record_bc_elim false
% 0.21/0.45 % --symbol_type_check false
% 0.21/0.45 % --clausify_out false
% 0.21/0.45 % --large_theory_mode false
% 0.21/0.45 % --prep_sem_filter none
% 0.21/0.45 % --prep_sem_filter_out false
% 0.21/0.45 % --preprocessed_out false
% 0.21/0.45 % --sub_typing false
% 0.21/0.45 % --brand_transform false
% 0.21/0.45 % --pure_diseq_elim true
% 0.21/0.45 % --min_unsat_core false
% 0.21/0.45 % --pred_elim true
% 0.21/0.45 % --add_important_lit false
% 0.21/0.45 % --soft_assumptions false
% 0.21/0.45 % --reset_solvers false
% 0.21/0.45 % --bc_imp_inh []
% 0.21/0.45 % --conj_cone_tolerance 1.5
% 0.21/0.45 % --prolific_symb_bound 500
% 0.21/0.45 % --lt_threshold 2000
% 0.21/0.45
% 0.21/0.45 % ------ SAT Options
% 0.21/0.45
% 0.21/0.45 % --sat_mode false
% 0.21/0.45 % --sat_fm_restart_options ""
% 0.21/0.45 % --sat_gr_def false
% 0.21/0.45 % --sat_epr_types true
% 0.21/0.45 % --sat_non_cyclic_types false
% 0.21/0.45 % --sat_finite_models false
% 0.21/0.45 % --sat_fm_lemmas false
% 0.21/0.45 % --sat_fm_prep false
% 0.21/0.45 % --sat_fm_uc_incr true
% 0.21/0.45 % --sat_out_model small
% 0.21/0.45 % --sat_out_clauses false
% 0.21/0.45
% 0.21/0.45 % ------ QBF Options
% 0.21/0.45
% 0.21/0.45 % --qbf_mode false
% 0.21/0.45 % --qbf_elim_univ true
% 0.21/0.45 % --qbf_sk_in true
% 0.21/0.45 % --qbf_pred_elim true
% 0.21/0.45 % --qbf_split 32
% 0.21/0.45
% 0.21/0.45 % ------ BMC1 Options
% 0.21/0.45
% 0.21/0.45 % --bmc1_incremental false
% 0.21/0.45 % --bmc1_axioms reachable_all
% 0.21/0.45 % --bmc1_min_bound 0
% 0.21/0.45 % --bmc1_max_bound -1
% 0.21/0.45 % --bmc1_max_bound_default -1
% 0.21/0.45 % --bmc1_symbol_reachability true
% 0.21/0.45 % --bmc1_property_lemmas false
% 0.21/0.45 % --bmc1_k_induction false
% 0.21/0.45 % --bmc1_non_equiv_states false
% 0.21/0.45 % --bmc1_deadlock false
% 0.21/0.45 % --bmc1_ucm false
% 0.21/0.45 % --bmc1_add_unsat_core none
% 0.21/0.45 % --bmc1_unsat_core_children false
% 0.21/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.45 % --bmc1_out_stat full
% 0.21/0.45 % --bmc1_ground_init false
% 0.21/0.45 % --bmc1_pre_inst_next_state false
% 0.21/0.45 % --bmc1_pre_inst_state false
% 0.21/0.45 % --bmc1_pre_inst_reach_state false
% 0.21/0.45 % --bmc1_out_unsat_core false
% 0.21/0.45 % --bmc1_aig_witness_out false
% 0.21/0.45 % --bmc1_verbose false
% 0.21/0.45 % --bmc1_dump_clauses_tptp false
% 0.21/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.46 % --bmc1_dump_file -
% 0.21/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.46 % --bmc1_ucm_extend_mode 1
% 0.21/0.46 % --bmc1_ucm_init_mode 2
% 0.21/0.46 % --bmc1_ucm_cone_mode none
% 0.21/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.46 % --bmc1_ucm_relax_model 4
% 0.21/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.46 % --bmc1_ucm_layered_model none
% 0.21/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.46
% 0.21/0.46 % ------ AIG Options
% 0.21/0.46
% 0.21/0.46 % --aig_mode false
% 0.21/0.46
% 0.21/0.46 % ------ Instantiation Options
% 0.21/0.46
% 0.21/0.46 % --instantiation_flag true
% 0.21/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.46 % --inst_solver_per_active 750
% 0.21/0.46 % --inst_solver_calls_frac 0.5
% 0.21/0.46 % --inst_passive_queue_type priority_queues
% 0.21/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.46 % --inst_passive_queues_freq [25;2]
% 0.21/0.46 % --inst_dismatching true
% 0.21/0.46 % --inst_eager_unprocessed_to_passive true
% 0.21/0.46 % --inst_prop_sim_given true
% 0.21/0.46 % --inst_prop_sim_new false
% 0.21/0.46 % --inst_orphan_elimination true
% 0.21/0.46 % --inst_learning_loop_flag true
% 0.21/0.46 % --inst_learning_start 3000
% 0.21/0.46 % --inst_learning_factor 2
% 0.21/0.46 % --inst_start_prop_sim_after_learn 3
% 0.21/0.46 % --inst_sel_renew solver
% 0.21/0.46 % --inst_lit_activity_flag true
% 0.21/0.46 % --inst_out_proof true
% 0.21/0.46
% 0.21/0.46 % ------ Resolution Options
% 0.21/0.46
% 0.21/0.46 % --resolution_flag true
% 0.21/0.46 % --res_lit_sel kbo_max
% 0.21/0.46 % --res_to_prop_solver none
% 0.21/0.46 % --res_prop_simpl_new false
% 0.21/0.46 % --res_prop_simpl_given false
% 0.21/0.46 % --res_passive_queue_type priority_queues
% 0.21/0.46 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.46 % --res_passive_queues_freq [15;5]
% 0.21/0.46 % --res_forward_subs full
% 0.21/0.46 % --res_backward_subs full
% 0.21/0.46 % --res_forward_subs_resolution true
% 0.21/0.46 % --res_backward_subs_resolution true
% 0.21/0.46 % --res_orphan_elimination false
% 0.21/0.46 % --res_time_limit 1000.
% 0.21/0.46 % --res_out_proof true
% 0.21/0.46 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_82864b.s
% 0.21/0.46 % --modulo true
% 0.21/0.46
% 0.21/0.46 % ------ Combination Options
% 0.21/0.46
% 0.21/0.46 % --comb_res_mult 1000
% 0.21/0.46 % --comb_inst_mult 300
% 0.21/0.46 % ------
% 0.21/0.46
% 0.21/0.46 % ------ Parsing...% successful
% 0.21/0.46
% 0.21/0.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.21/0.46
% 0.21/0.46 % ------ Proving...
% 0.21/0.46 % ------ Problem Properties
% 0.21/0.46
% 0.21/0.46 %
% 0.21/0.46 % EPR false
% 0.21/0.46 % Horn false
% 0.21/0.46 % Has equality true
% 0.21/0.46
% 0.21/0.46 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % % ------ Current options:
% 0.21/0.46
% 0.21/0.46 % ------ Input Options
% 0.21/0.46
% 0.21/0.46 % --out_options all
% 0.21/0.46 % --tptp_safe_out true
% 0.21/0.46 % --problem_path ""
% 0.21/0.46 % --include_path ""
% 0.21/0.46 % --clausifier .//eprover
% 0.21/0.46 % --clausifier_options --tstp-format
% 0.21/0.46 % --stdin false
% 0.21/0.46 % --dbg_backtrace false
% 0.21/0.46 % --dbg_dump_prop_clauses false
% 0.21/0.46 % --dbg_dump_prop_clauses_file -
% 0.21/0.46 % --dbg_out_stat false
% 0.21/0.46
% 0.21/0.46 % ------ General Options
% 0.21/0.46
% 0.21/0.46 % --fof false
% 0.21/0.46 % --time_out_real 150.
% 0.21/0.46 % --time_out_prep_mult 0.2
% 0.21/0.46 % --time_out_virtual -1.
% 0.21/0.46 % --schedule none
% 0.21/0.46 % --ground_splitting input
% 0.21/0.46 % --splitting_nvd 16
% 0.21/0.46 % --non_eq_to_eq false
% 0.21/0.46 % --prep_gs_sim true
% 0.21/0.46 % --prep_unflatten false
% 0.21/0.46 % --prep_res_sim true
% 0.21/0.46 % --prep_upred true
% 0.21/0.46 % --res_sim_input true
% 0.21/0.46 % --clause_weak_htbl true
% 0.21/0.46 % --gc_record_bc_elim false
% 0.21/0.46 % --symbol_type_check false
% 0.21/0.46 % --clausify_out false
% 0.21/0.46 % --large_theory_mode false
% 0.21/0.46 % --prep_sem_filter none
% 0.21/0.46 % --prep_sem_filter_out false
% 0.21/0.46 % --preprocessed_out false
% 0.21/0.46 % --sub_typing false
% 0.21/0.46 % --brand_transform false
% 0.21/0.46 % --pure_diseq_elim true
% 0.21/0.46 % --min_unsat_core false
% 0.21/0.46 % --pred_elim true
% 0.21/0.46 % --add_important_lit false
% 0.21/0.46 % --soft_assumptions false
% 0.21/0.46 % --reset_solvers false
% 0.21/0.46 % --bc_imp_inh []
% 0.21/0.46 % --conj_cone_tolerance 1.5
% 0.21/0.46 % --prolific_symb_bound 500
% 0.21/0.46 % --lt_threshold 2000
% 0.21/0.46
% 0.21/0.46 % ------ SAT Options
% 0.21/0.46
% 0.21/0.46 % --sat_mode false
% 0.21/0.46 % --sat_fm_restart_options ""
% 0.21/0.46 % --sat_gr_def false
% 0.21/0.46 % --sat_epr_types true
% 0.21/0.46 % --sat_non_cyclic_types false
% 0.21/0.46 % --sat_finite_models false
% 0.21/0.46 % --sat_fm_lemmas false
% 0.21/0.46 % --sat_fm_prep false
% 0.21/0.46 % --sat_fm_uc_incr true
% 0.21/0.46 % --sat_out_model small
% 0.21/0.46 % --sat_out_clauses false
% 0.21/0.46
% 0.21/0.46 % ------ QBF Options
% 0.21/0.46
% 0.21/0.46 % --qbf_mode false
% 0.21/0.46 % --qbf_elim_univ true
% 0.21/0.46 % --qbf_sk_in true
% 0.21/0.46 % --qbf_pred_elim true
% 0.21/0.46 % --qbf_split 32
% 0.21/0.46
% 0.21/0.46 % ------ BMC1 Options
% 0.21/0.46
% 0.21/0.46 % --bmc1_incremental false
% 0.21/0.46 % --bmc1_axioms reachable_all
% 0.21/0.46 % --bmc1_min_bound 0
% 0.21/0.46 % --bmc1_max_bound -1
% 0.21/0.46 % --bmc1_max_bound_default -1
% 0.21/0.46 % --bmc1_symbol_reachability true
% 0.21/0.46 % --bmc1_property_lemmas false
% 0.21/0.46 % --bmc1_k_induction false
% 0.21/0.46 % --bmc1_non_equiv_states false
% 0.21/0.46 % --bmc1_deadlock false
% 0.21/0.46 % --bmc1_ucm false
% 0.21/0.46 % --bmc1_add_unsat_core none
% 0.21/0.46 % --bmc1_unsat_core_children false
% 0.21/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.46 % --bmc1_out_stat full
% 0.21/0.46 % --bmc1_ground_init false
% 0.21/0.46 % --bmc1_pre_inst_next_state false
% 0.21/0.46 % --bmc1_pre_inst_state false
% 0.21/0.46 % --bmc1_pre_inst_reach_state false
% 0.21/0.46 % --bmc1_out_unsat_core false
% 0.21/0.46 % --bmc1_aig_witness_out false
% 0.21/0.46 % --bmc1_verbose false
% 0.21/0.46 % --bmc1_dump_clauses_tptp false
% 0.21/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.46 % --bmc1_dump_file -
% 0.21/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.46 % --bmc1_ucm_extend_mode 1
% 0.21/0.46 % --bmc1_ucm_init_mode 2
% 0.21/0.46 % --bmc1_ucm_cone_mode none
% 0.21/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.46 % --bmc1_ucm_relax_model 4
% 0.21/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.46 % --bmc1_ucm_layered_model none
% 0.21/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.46
% 0.21/0.46 % ------ AIG Options
% 0.21/0.46
% 0.21/0.46 % --aig_mode false
% 0.21/0.46
% 0.21/0.46 % ------ Instantiation Options
% 0.21/0.46
% 0.21/0.46 % --instantiation_flag true
% 0.21/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.46 % --inst_solver_per_active 750
% 0.21/0.46 % --inst_solver_calls_frac 0.5
% 0.21/0.46 % --inst_passive_queue_type priority_queues
% 0.21/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.46 % --inst_passive_queues_freq [25;2]
% 0.21/0.46 % --inst_dismatching true
% 0.21/0.46 % --inst_eager_unprocessed_to_passive true
% 0.21/0.46 % --inst_prop_sim_given true
% 2.46/2.71 % --inst_prop_sim_new false
% 2.46/2.71 % --inst_orphan_elimination true
% 2.46/2.71 % --inst_learning_loop_flag true
% 2.46/2.71 % --inst_learning_start 3000
% 2.46/2.71 % --inst_learning_factor 2
% 2.46/2.71 % --inst_start_prop_sim_after_learn 3
% 2.46/2.71 % --inst_sel_renew solver
% 2.46/2.71 % --inst_lit_activity_flag true
% 2.46/2.71 % --inst_out_proof true
% 2.46/2.71
% 2.46/2.71 % ------ Resolution Options
% 2.46/2.71
% 2.46/2.71 % --resolution_flag true
% 2.46/2.71 % --res_lit_sel kbo_max
% 2.46/2.71 % --res_to_prop_solver none
% 2.46/2.71 % --res_prop_simpl_new false
% 2.46/2.71 % --res_prop_simpl_given false
% 2.46/2.71 % --res_passive_queue_type priority_queues
% 2.46/2.71 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.46/2.71 % --res_passive_queues_freq [15;5]
% 2.46/2.71 % --res_forward_subs full
% 2.46/2.71 % --res_backward_subs full
% 2.46/2.71 % --res_forward_subs_resolution true
% 2.46/2.71 % --res_backward_subs_resolution true
% 2.46/2.71 % --res_orphan_elimination false
% 2.46/2.71 % --res_time_limit 1000.
% 2.46/2.71 % --res_out_proof true
% 2.46/2.71 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_82864b.s
% 2.46/2.71 % --modulo true
% 2.46/2.71
% 2.46/2.71 % ------ Combination Options
% 2.46/2.71
% 2.46/2.71 % --comb_res_mult 1000
% 2.46/2.71 % --comb_inst_mult 300
% 2.46/2.71 % ------
% 2.46/2.71
% 2.46/2.71
% 2.46/2.71
% 2.46/2.71 % ------ Proving...
% 2.46/2.71 %
% 2.46/2.71
% 2.46/2.71
% 2.46/2.71 % ------ Statistics
% 2.46/2.71
% 2.46/2.71 % ------ General
% 2.46/2.71
% 2.46/2.71 % num_of_input_clauses: 33
% 2.46/2.71 % num_of_input_neg_conjectures: 4
% 2.46/2.71 % num_of_splits: 0
% 2.46/2.71 % num_of_split_atoms: 0
% 2.46/2.71 % num_of_sem_filtered_clauses: 0
% 2.46/2.71 % num_of_subtypes: 0
% 2.46/2.71 % monotx_restored_types: 0
% 2.46/2.71 % sat_num_of_epr_types: 0
% 2.46/2.71 % sat_num_of_non_cyclic_types: 0
% 2.46/2.71 % sat_guarded_non_collapsed_types: 0
% 2.46/2.71 % is_epr: 0
% 2.46/2.71 % is_horn: 0
% 2.46/2.71 % has_eq: 1
% 2.46/2.71 % num_pure_diseq_elim: 0
% 2.46/2.71 % simp_replaced_by: 0
% 2.46/2.71 % res_preprocessed: 8
% 2.46/2.71 % prep_upred: 0
% 2.46/2.71 % prep_unflattend: 0
% 2.46/2.71 % pred_elim_cands: 0
% 2.46/2.71 % pred_elim: 0
% 2.46/2.71 % pred_elim_cl: 0
% 2.46/2.71 % pred_elim_cycles: 0
% 2.46/2.71 % forced_gc_time: 0
% 2.46/2.71 % gc_basic_clause_elim: 0
% 2.46/2.71 % parsing_time: 0.003
% 2.46/2.71 % sem_filter_time: 0.
% 2.46/2.71 % pred_elim_time: 0.
% 2.46/2.71 % out_proof_time: 0.001
% 2.46/2.71 % monotx_time: 0.
% 2.46/2.71 % subtype_inf_time: 0.
% 2.46/2.71 % unif_index_cands_time: 0.007
% 2.46/2.71 % unif_index_add_time: 0.002
% 2.46/2.71 % total_time: 2.28
% 2.46/2.71 % num_of_symbols: 35
% 2.46/2.71 % num_of_terms: 6154
% 2.46/2.71
% 2.46/2.71 % ------ Propositional Solver
% 2.46/2.71
% 2.46/2.71 % prop_solver_calls: 8
% 2.46/2.71 % prop_fast_solver_calls: 12
% 2.46/2.71 % prop_num_of_clauses: 403
% 2.46/2.71 % prop_preprocess_simplified: 734
% 2.46/2.71 % prop_fo_subsumed: 0
% 2.46/2.71 % prop_solver_time: 0.
% 2.46/2.71 % prop_fast_solver_time: 0.
% 2.46/2.71 % prop_unsat_core_time: 0.
% 2.46/2.71
% 2.46/2.71 % ------ QBF
% 2.46/2.71
% 2.46/2.71 % qbf_q_res: 0
% 2.46/2.71 % qbf_num_tautologies: 0
% 2.46/2.71 % qbf_prep_cycles: 0
% 2.46/2.71
% 2.46/2.71 % ------ BMC1
% 2.46/2.71
% 2.46/2.71 % bmc1_current_bound: -1
% 2.46/2.71 % bmc1_last_solved_bound: -1
% 2.46/2.71 % bmc1_unsat_core_size: -1
% 2.46/2.71 % bmc1_unsat_core_parents_size: -1
% 2.46/2.71 % bmc1_merge_next_fun: 0
% 2.46/2.71 % bmc1_unsat_core_clauses_time: 0.
% 2.46/2.71
% 2.46/2.71 % ------ Instantiation
% 2.46/2.71
% 2.46/2.71 % inst_num_of_clauses: 301
% 2.46/2.71 % inst_num_in_passive: 73
% 2.46/2.71 % inst_num_in_active: 213
% 2.46/2.71 % inst_num_in_unprocessed: 1
% 2.46/2.71 % inst_num_of_loops: 276
% 2.46/2.71 % inst_num_of_learning_restarts: 0
% 2.46/2.71 % inst_num_moves_active_passive: 43
% 2.46/2.71 % inst_lit_activity: 56
% 2.46/2.71 % inst_lit_activity_moves: 0
% 2.46/2.71 % inst_num_tautologies: 13
% 2.46/2.71 % inst_num_prop_implied: 0
% 2.46/2.71 % inst_num_existing_simplified: 0
% 2.46/2.71 % inst_num_eq_res_simplified: 0
% 2.46/2.71 % inst_num_child_elim: 0
% 2.46/2.71 % inst_num_of_dismatching_blockings: 191
% 2.46/2.71 % inst_num_of_non_proper_insts: 724
% 2.46/2.71 % inst_num_of_duplicates: 353
% 2.46/2.71 % inst_inst_num_from_inst_to_res: 0
% 2.46/2.71 % inst_dismatching_checking_time: 0.
% 2.46/2.71
% 2.46/2.71 % ------ Resolution
% 2.46/2.71
% 2.46/2.71 % res_num_of_clauses: 11665
% 2.46/2.71 % res_num_in_passive: 11356
% 2.46/2.71 % res_num_in_active: 350
% 2.46/2.71 % res_num_of_loops: 1000
% 2.46/2.71 % res_forward_subset_subsumed: 3564
% 2.46/2.71 % res_backward_subset_subsumed: 122
% 2.46/2.71 % res_forward_subsumed: 480
% 2.46/2.71 % res_backward_subsumed: 162
% 2.46/2.71 % res_forward_subsumption_resolution: 225
% 2.46/2.71 % res_backward_subsumption_resolution: 0
% 2.46/2.71 % res_clause_to_clause_subsumption: 48704
% 2.46/2.71 % res_orphan_elimination: 0
% 2.46/2.71 % res_tautology_del: 425
% 2.46/2.71 % res_num_eq_res_simplified: 0
% 2.46/2.71 % res_num_sel_changes: 0
% 2.46/2.71 % res_moves_from_active_to_pass: 0
% 2.46/2.71
% 2.46/2.71 % Status Unsatisfiable
% 2.46/2.71 % SZS status Unsatisfiable
% 2.46/2.71 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------