TSTP Solution File: PUZ027-1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %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 : 600s
% DateTime : Mon Jul 18 18:13:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : CNFRefutation 0.19s
% 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(not_lower_is_irreflexive,axiom,
a_truth(not_lower(X,X)),
input ).
fof(not_lower_is_irreflexive_0,plain,
! [X] :
( a_truth(not_lower(X,X))
| $false ),
inference(orientation,[status(thm)],[not_lower_is_irreflexive]) ).
fof(def_lhs_atom1,axiom,
! [X] :
( lhs_atom1(X)
<=> a_truth(not_lower(X,X)) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [X] :
( lhs_atom1(X)
| $false ),
inference(fold_definition,[status(thm)],[not_lower_is_irreflexive_0,def_lhs_atom1]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( lhs_atom1(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_1,plain,
! [X1] : lhs_atom1(X1),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2,plain,
! [X2] : lhs_atom1(X2),
inference(variable_rename,[status(thm)],[c_0_1]) ).
cnf(c_0_3,plain,
lhs_atom1(X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,plain,
lhs_atom1(X1),
c_0_3,
[final] ).
% End CNF derivation
cnf(c_0_4_0,axiom,
a_truth(not_lower(X1,X1)),
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,
! [X1,X2] :
( ~ a_truth(not_lower(X2,X1))
| ~ a_truth(truthteller(X2))
| a_truth(truthteller(X1))
| a_truth(lower(X1,X2)) ),
file('<stdin>',not_lower_than_truthteller) ).
fof(c_0_1_002,axiom,
! [X1,X2] :
( ~ a_truth(not_lower(X2,X1))
| ~ a_truth(liar(X2))
| a_truth(liar(X1))
| a_truth(lower(X1,X2)) ),
file('<stdin>',not_lower_than_liar) ).
fof(c_0_2_003,axiom,
! [X1,X2] :
( ~ a_truth(not_lower(X2,X1))
| ~ a_truth(normal(X2))
| a_truth(normal(X1))
| a_truth(lower(X1,X2)) ),
file('<stdin>',not_lower_than_normal) ).
fof(c_0_3_004,axiom,
! [X1,X2] :
( ~ a_truth(not_lower(X2,X1))
| ~ a_truth(lower(X2,X1)) ),
file('<stdin>',not_not_lower_and_lower) ).
fof(c_0_4_005,axiom,
! [X1,X2] :
( ~ a_truth(lower(X2,X1))
| ~ a_truth(liar(X2))
| a_truth(normal(X1))
| a_truth(truthteller(X1)) ),
file('<stdin>',liars_lowest) ).
fof(c_0_5,axiom,
! [X1,X2] :
( ~ a_truth(lower(X2,X1))
| ~ a_truth(truthteller(X1))
| a_truth(normal(X2))
| a_truth(liar(X2)) ),
file('<stdin>',normal_and_liars_lower_than_truthtellers) ).
fof(c_0_6,axiom,
! [X1,X2] :
( ~ a_truth(X2)
| ~ a_truth(says(X1,X2))
| a_truth(truthteller(X1))
| a_truth(normal(X1)) ),
file('<stdin>',truthtellers_and_normal_tell_truth) ).
fof(c_0_7,axiom,
! [X1,X2] :
( ~ a_truth(lower(X2,X1))
| ~ a_truth(normal(X2))
| a_truth(truthteller(X1)) ),
file('<stdin>',truthtellers_highest) ).
fof(c_0_8,axiom,
! [X1,X2] :
( ~ a_truth(lower(X2,X1))
| ~ a_truth(normal(X1))
| a_truth(liar(X2)) ),
file('<stdin>',liars_lower_than_normal) ).
fof(c_0_9,axiom,
! [X1,X2] :
( a_truth(X2)
| ~ a_truth(says(X1,X2))
| a_truth(liar(X1))
| a_truth(normal(X1)) ),
file('<stdin>',liars_and_normal_lie) ).
fof(c_0_10,axiom,
! [X1,X2] :
( ~ a_truth(liar(X2))
| ~ a_truth(says(X2,X1))
| ~ a_truth(X1) ),
file('<stdin>',liars_lie) ).
fof(c_0_11,axiom,
! [X1,X2] :
( ~ a_truth(truthteller(X2))
| ~ a_truth(says(X2,X1))
| a_truth(X1) ),
file('<stdin>',truthtellers_tell_truth) ).
fof(c_0_12,axiom,
! [X1,X2] :
( ~ a_truth(lower(X2,X1))
| ~ a_truth(truthteller(X2)) ),
file('<stdin>',truthtellers_lower_than_no_one) ).
fof(c_0_13,axiom,
! [X1,X2] :
( ~ a_truth(lower(X2,X1))
| ~ a_truth(liar(X1)) ),
file('<stdin>',no_one_lower_than_liars) ).
fof(c_0_14,axiom,
! [X1,X2] :
( a_truth(not_lower(X2,X1))
| a_truth(lower(X2,X1)) ),
file('<stdin>',not_lower_or_lower) ).
fof(c_0_15,axiom,
! [X2] :
( ~ a_truth(truthteller(X2))
| ~ a_truth(normal(X2)) ),
file('<stdin>',not_truthteller_and_normal) ).
fof(c_0_16,axiom,
! [X2] :
( ~ a_truth(truthteller(X2))
| ~ a_truth(liar(X2)) ),
file('<stdin>',not_truthteller_and_liar) ).
fof(c_0_17,axiom,
! [X2] :
( ~ a_truth(liar(X2))
| ~ a_truth(normal(X2)) ),
file('<stdin>',not_liar_and_normal) ).
fof(c_0_18,axiom,
! [X2] :
( a_truth(truthteller(X2))
| a_truth(liar(X2))
| a_truth(normal(X2)) ),
file('<stdin>',person_is_one_type) ).
fof(c_0_19,plain,
! [X1,X2] :
( ~ a_truth(not_lower(X2,X1))
| ~ a_truth(truthteller(X2))
| a_truth(truthteller(X1))
| a_truth(lower(X1,X2)) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_20,plain,
! [X1,X2] :
( ~ a_truth(not_lower(X2,X1))
| ~ a_truth(liar(X2))
| a_truth(liar(X1))
| a_truth(lower(X1,X2)) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_21,plain,
! [X1,X2] :
( ~ a_truth(not_lower(X2,X1))
| ~ a_truth(normal(X2))
| a_truth(normal(X1))
| a_truth(lower(X1,X2)) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_22,plain,
! [X1,X2] :
( ~ a_truth(not_lower(X2,X1))
| ~ a_truth(lower(X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_23,plain,
! [X1,X2] :
( ~ a_truth(lower(X2,X1))
| ~ a_truth(liar(X2))
| a_truth(normal(X1))
| a_truth(truthteller(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_24,plain,
! [X1,X2] :
( ~ a_truth(lower(X2,X1))
| ~ a_truth(truthteller(X1))
| a_truth(normal(X2))
| a_truth(liar(X2)) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_25,plain,
! [X1,X2] :
( ~ a_truth(X2)
| ~ a_truth(says(X1,X2))
| a_truth(truthteller(X1))
| a_truth(normal(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_26,plain,
! [X1,X2] :
( ~ a_truth(lower(X2,X1))
| ~ a_truth(normal(X2))
| a_truth(truthteller(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_27,plain,
! [X1,X2] :
( ~ a_truth(lower(X2,X1))
| ~ a_truth(normal(X1))
| a_truth(liar(X2)) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_28,plain,
! [X1,X2] :
( a_truth(X2)
| ~ a_truth(says(X1,X2))
| a_truth(liar(X1))
| a_truth(normal(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_29,plain,
! [X1,X2] :
( ~ a_truth(liar(X2))
| ~ a_truth(says(X2,X1))
| ~ a_truth(X1) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_30,plain,
! [X1,X2] :
( ~ a_truth(truthteller(X2))
| ~ a_truth(says(X2,X1))
| a_truth(X1) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_31,plain,
! [X1,X2] :
( ~ a_truth(lower(X2,X1))
| ~ a_truth(truthteller(X2)) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_32,plain,
! [X1,X2] :
( ~ a_truth(lower(X2,X1))
| ~ a_truth(liar(X1)) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_33,axiom,
! [X1,X2] :
( a_truth(not_lower(X2,X1))
| a_truth(lower(X2,X1)) ),
c_0_14 ).
fof(c_0_34,plain,
! [X2] :
( ~ a_truth(truthteller(X2))
| ~ a_truth(normal(X2)) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_35,plain,
! [X2] :
( ~ a_truth(truthteller(X2))
| ~ a_truth(liar(X2)) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_36,plain,
! [X2] :
( ~ a_truth(liar(X2))
| ~ a_truth(normal(X2)) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_37,axiom,
! [X2] :
( a_truth(truthteller(X2))
| a_truth(liar(X2))
| a_truth(normal(X2)) ),
c_0_18 ).
fof(c_0_38,plain,
! [X3,X4] :
( ~ a_truth(not_lower(X4,X3))
| ~ a_truth(truthteller(X4))
| a_truth(truthteller(X3))
| a_truth(lower(X3,X4)) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_39,plain,
! [X3,X4] :
( ~ a_truth(not_lower(X4,X3))
| ~ a_truth(liar(X4))
| a_truth(liar(X3))
| a_truth(lower(X3,X4)) ),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_40,plain,
! [X3,X4] :
( ~ a_truth(not_lower(X4,X3))
| ~ a_truth(normal(X4))
| a_truth(normal(X3))
| a_truth(lower(X3,X4)) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
fof(c_0_41,plain,
! [X3,X4] :
( ~ a_truth(not_lower(X4,X3))
| ~ a_truth(lower(X4,X3)) ),
inference(variable_rename,[status(thm)],[c_0_22]) ).
fof(c_0_42,plain,
! [X3,X4] :
( ~ a_truth(lower(X4,X3))
| ~ a_truth(liar(X4))
| a_truth(normal(X3))
| a_truth(truthteller(X3)) ),
inference(variable_rename,[status(thm)],[c_0_23]) ).
fof(c_0_43,plain,
! [X3,X4] :
( ~ a_truth(lower(X4,X3))
| ~ a_truth(truthteller(X3))
| a_truth(normal(X4))
| a_truth(liar(X4)) ),
inference(variable_rename,[status(thm)],[c_0_24]) ).
fof(c_0_44,plain,
! [X3,X4] :
( ~ a_truth(X4)
| ~ a_truth(says(X3,X4))
| a_truth(truthteller(X3))
| a_truth(normal(X3)) ),
inference(variable_rename,[status(thm)],[c_0_25]) ).
fof(c_0_45,plain,
! [X3,X4] :
( ~ a_truth(lower(X4,X3))
| ~ a_truth(normal(X4))
| a_truth(truthteller(X3)) ),
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_46,plain,
! [X3,X4] :
( ~ a_truth(lower(X4,X3))
| ~ a_truth(normal(X3))
| a_truth(liar(X4)) ),
inference(variable_rename,[status(thm)],[c_0_27]) ).
fof(c_0_47,plain,
! [X3,X4] :
( a_truth(X4)
| ~ a_truth(says(X3,X4))
| a_truth(liar(X3))
| a_truth(normal(X3)) ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
fof(c_0_48,plain,
! [X3,X4] :
( ~ a_truth(liar(X4))
| ~ a_truth(says(X4,X3))
| ~ a_truth(X3) ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
fof(c_0_49,plain,
! [X3,X4] :
( ~ a_truth(truthteller(X4))
| ~ a_truth(says(X4,X3))
| a_truth(X3) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_50,plain,
! [X3,X4] :
( ~ a_truth(lower(X4,X3))
| ~ a_truth(truthteller(X4)) ),
inference(variable_rename,[status(thm)],[c_0_31]) ).
fof(c_0_51,plain,
! [X3,X4] :
( ~ a_truth(lower(X4,X3))
| ~ a_truth(liar(X3)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_32])])]) ).
fof(c_0_52,plain,
! [X3,X4] :
( a_truth(not_lower(X4,X3))
| a_truth(lower(X4,X3)) ),
inference(variable_rename,[status(thm)],[c_0_33]) ).
fof(c_0_53,plain,
! [X3] :
( ~ a_truth(truthteller(X3))
| ~ a_truth(normal(X3)) ),
inference(variable_rename,[status(thm)],[c_0_34]) ).
fof(c_0_54,plain,
! [X3] :
( ~ a_truth(truthteller(X3))
| ~ a_truth(liar(X3)) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
fof(c_0_55,plain,
! [X3] :
( ~ a_truth(liar(X3))
| ~ a_truth(normal(X3)) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_56,plain,
! [X3] :
( a_truth(truthteller(X3))
| a_truth(liar(X3))
| a_truth(normal(X3)) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
cnf(c_0_57,plain,
( a_truth(lower(X1,X2))
| a_truth(truthteller(X1))
| ~ a_truth(truthteller(X2))
| ~ a_truth(not_lower(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_58,plain,
( a_truth(lower(X1,X2))
| a_truth(liar(X1))
| ~ a_truth(liar(X2))
| ~ a_truth(not_lower(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_59,plain,
( a_truth(lower(X1,X2))
| a_truth(normal(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(not_lower(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_60,plain,
( ~ a_truth(lower(X1,X2))
| ~ a_truth(not_lower(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_61,plain,
( a_truth(truthteller(X1))
| a_truth(normal(X1))
| ~ a_truth(liar(X2))
| ~ a_truth(lower(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_62,plain,
( a_truth(liar(X1))
| a_truth(normal(X1))
| ~ a_truth(truthteller(X2))
| ~ a_truth(lower(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_63,plain,
( a_truth(normal(X1))
| a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_64,plain,
( a_truth(truthteller(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(lower(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_65,plain,
( a_truth(liar(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(lower(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_66,plain,
( a_truth(normal(X1))
| a_truth(liar(X1))
| a_truth(X2)
| ~ a_truth(says(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_67,plain,
( ~ a_truth(X1)
| ~ a_truth(says(X2,X1))
| ~ a_truth(liar(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_68,plain,
( a_truth(X1)
| ~ a_truth(says(X2,X1))
| ~ a_truth(truthteller(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_69,plain,
( ~ a_truth(truthteller(X1))
| ~ a_truth(lower(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_70,plain,
( ~ a_truth(liar(X1))
| ~ a_truth(lower(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_71,plain,
( a_truth(lower(X1,X2))
| a_truth(not_lower(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_72,plain,
( ~ a_truth(normal(X1))
| ~ a_truth(truthteller(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_73,plain,
( ~ a_truth(liar(X1))
| ~ a_truth(truthteller(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_74,plain,
( ~ a_truth(normal(X1))
| ~ a_truth(liar(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_75,plain,
( a_truth(normal(X1))
| a_truth(liar(X1))
| a_truth(truthteller(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_76,plain,
( a_truth(lower(X1,X2))
| a_truth(truthteller(X1))
| ~ a_truth(truthteller(X2))
| ~ a_truth(not_lower(X2,X1)) ),
c_0_57,
[final] ).
cnf(c_0_77,plain,
( a_truth(lower(X1,X2))
| a_truth(liar(X1))
| ~ a_truth(liar(X2))
| ~ a_truth(not_lower(X2,X1)) ),
c_0_58,
[final] ).
cnf(c_0_78,plain,
( a_truth(lower(X1,X2))
| a_truth(normal(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(not_lower(X2,X1)) ),
c_0_59,
[final] ).
cnf(c_0_79,plain,
( ~ a_truth(lower(X1,X2))
| ~ a_truth(not_lower(X1,X2)) ),
c_0_60,
[final] ).
cnf(c_0_80,plain,
( a_truth(truthteller(X1))
| a_truth(normal(X1))
| ~ a_truth(liar(X2))
| ~ a_truth(lower(X2,X1)) ),
c_0_61,
[final] ).
cnf(c_0_81,plain,
( a_truth(liar(X1))
| a_truth(normal(X1))
| ~ a_truth(truthteller(X2))
| ~ a_truth(lower(X1,X2)) ),
c_0_62,
[final] ).
cnf(c_0_82,plain,
( a_truth(normal(X1))
| a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
c_0_63,
[final] ).
cnf(c_0_83,plain,
( a_truth(truthteller(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(lower(X2,X1)) ),
c_0_64,
[final] ).
cnf(c_0_84,plain,
( a_truth(liar(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(lower(X1,X2)) ),
c_0_65,
[final] ).
cnf(c_0_85,plain,
( a_truth(normal(X1))
| a_truth(liar(X1))
| a_truth(X2)
| ~ a_truth(says(X1,X2)) ),
c_0_66,
[final] ).
cnf(c_0_86,plain,
( ~ a_truth(X1)
| ~ a_truth(says(X2,X1))
| ~ a_truth(liar(X2)) ),
c_0_67,
[final] ).
cnf(c_0_87,plain,
( a_truth(X1)
| ~ a_truth(says(X2,X1))
| ~ a_truth(truthteller(X2)) ),
c_0_68,
[final] ).
cnf(c_0_88,plain,
( ~ a_truth(truthteller(X1))
| ~ a_truth(lower(X1,X2)) ),
c_0_69,
[final] ).
cnf(c_0_89,plain,
( ~ a_truth(liar(X1))
| ~ a_truth(lower(X2,X1)) ),
c_0_70,
[final] ).
cnf(c_0_90,plain,
( a_truth(lower(X1,X2))
| a_truth(not_lower(X1,X2)) ),
c_0_71,
[final] ).
cnf(c_0_91,plain,
( ~ a_truth(normal(X1))
| ~ a_truth(truthteller(X1)) ),
c_0_72,
[final] ).
cnf(c_0_92,plain,
( ~ a_truth(liar(X1))
| ~ a_truth(truthteller(X1)) ),
c_0_73,
[final] ).
cnf(c_0_93,plain,
( ~ a_truth(normal(X1))
| ~ a_truth(liar(X1)) ),
c_0_74,
[final] ).
cnf(c_0_94,plain,
( a_truth(normal(X1))
| a_truth(liar(X1))
| a_truth(truthteller(X1)) ),
c_0_75,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_76_0,axiom,
( a_truth(lower(X1,X2))
| a_truth(truthteller(X1))
| ~ a_truth(truthteller(X2))
| ~ a_truth(not_lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_1,axiom,
( a_truth(truthteller(X1))
| a_truth(lower(X1,X2))
| ~ a_truth(truthteller(X2))
| ~ a_truth(not_lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_2,axiom,
( ~ a_truth(truthteller(X2))
| a_truth(truthteller(X1))
| a_truth(lower(X1,X2))
| ~ a_truth(not_lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_3,axiom,
( ~ a_truth(not_lower(X2,X1))
| ~ a_truth(truthteller(X2))
| a_truth(truthteller(X1))
| a_truth(lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_77_0,axiom,
( a_truth(lower(X1,X2))
| a_truth(liar(X1))
| ~ a_truth(liar(X2))
| ~ a_truth(not_lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_1,axiom,
( a_truth(liar(X1))
| a_truth(lower(X1,X2))
| ~ a_truth(liar(X2))
| ~ a_truth(not_lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_2,axiom,
( ~ a_truth(liar(X2))
| a_truth(liar(X1))
| a_truth(lower(X1,X2))
| ~ a_truth(not_lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_3,axiom,
( ~ a_truth(not_lower(X2,X1))
| ~ a_truth(liar(X2))
| a_truth(liar(X1))
| a_truth(lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_78_0,axiom,
( a_truth(lower(X1,X2))
| a_truth(normal(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(not_lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_1,axiom,
( a_truth(normal(X1))
| a_truth(lower(X1,X2))
| ~ a_truth(normal(X2))
| ~ a_truth(not_lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_2,axiom,
( ~ a_truth(normal(X2))
| a_truth(normal(X1))
| a_truth(lower(X1,X2))
| ~ a_truth(not_lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_3,axiom,
( ~ a_truth(not_lower(X2,X1))
| ~ a_truth(normal(X2))
| a_truth(normal(X1))
| a_truth(lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_79_0,axiom,
( ~ a_truth(lower(X1,X2))
| ~ a_truth(not_lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_1,axiom,
( ~ a_truth(not_lower(X1,X2))
| ~ a_truth(lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_80_0,axiom,
( a_truth(truthteller(X1))
| a_truth(normal(X1))
| ~ a_truth(liar(X2))
| ~ a_truth(lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_1,axiom,
( a_truth(normal(X1))
| a_truth(truthteller(X1))
| ~ a_truth(liar(X2))
| ~ a_truth(lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_2,axiom,
( ~ a_truth(liar(X2))
| a_truth(normal(X1))
| a_truth(truthteller(X1))
| ~ a_truth(lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_3,axiom,
( ~ a_truth(lower(X2,X1))
| ~ a_truth(liar(X2))
| a_truth(normal(X1))
| a_truth(truthteller(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_81_0,axiom,
( a_truth(liar(X1))
| a_truth(normal(X1))
| ~ a_truth(truthteller(X2))
| ~ a_truth(lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_1,axiom,
( a_truth(normal(X1))
| a_truth(liar(X1))
| ~ a_truth(truthteller(X2))
| ~ a_truth(lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_2,axiom,
( ~ a_truth(truthteller(X2))
| a_truth(normal(X1))
| a_truth(liar(X1))
| ~ a_truth(lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_3,axiom,
( ~ a_truth(lower(X1,X2))
| ~ a_truth(truthteller(X2))
| a_truth(normal(X1))
| a_truth(liar(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_82_0,axiom,
( a_truth(normal(X1))
| a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_1,axiom,
( a_truth(truthteller(X1))
| a_truth(normal(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_2,axiom,
( ~ a_truth(says(X1,X2))
| a_truth(truthteller(X1))
| a_truth(normal(X1))
| ~ a_truth(X2) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_3,axiom,
( ~ a_truth(X2)
| ~ a_truth(says(X1,X2))
| a_truth(truthteller(X1))
| a_truth(normal(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_83_0,axiom,
( a_truth(truthteller(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_1,axiom,
( ~ a_truth(normal(X2))
| a_truth(truthteller(X1))
| ~ a_truth(lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_2,axiom,
( ~ a_truth(lower(X2,X1))
| ~ a_truth(normal(X2))
| a_truth(truthteller(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_84_0,axiom,
( a_truth(liar(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_1,axiom,
( ~ a_truth(normal(X2))
| a_truth(liar(X1))
| ~ a_truth(lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_2,axiom,
( ~ a_truth(lower(X1,X2))
| ~ a_truth(normal(X2))
| a_truth(liar(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_85_0,axiom,
( a_truth(normal(X1))
| a_truth(liar(X1))
| a_truth(X2)
| ~ a_truth(says(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_1,axiom,
( a_truth(liar(X1))
| a_truth(normal(X1))
| a_truth(X2)
| ~ a_truth(says(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_2,axiom,
( a_truth(X2)
| a_truth(liar(X1))
| a_truth(normal(X1))
| ~ a_truth(says(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_3,axiom,
( ~ a_truth(says(X1,X2))
| a_truth(X2)
| a_truth(liar(X1))
| a_truth(normal(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_86_0,axiom,
( ~ a_truth(X1)
| ~ a_truth(says(X2,X1))
| ~ a_truth(liar(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_1,axiom,
( ~ a_truth(says(X2,X1))
| ~ a_truth(X1)
| ~ a_truth(liar(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_2,axiom,
( ~ a_truth(liar(X2))
| ~ a_truth(says(X2,X1))
| ~ a_truth(X1) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_87_0,axiom,
( a_truth(X1)
| ~ a_truth(says(X2,X1))
| ~ a_truth(truthteller(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_1,axiom,
( ~ a_truth(says(X2,X1))
| a_truth(X1)
| ~ a_truth(truthteller(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_2,axiom,
( ~ a_truth(truthteller(X2))
| ~ a_truth(says(X2,X1))
| a_truth(X1) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_88_0,axiom,
( ~ a_truth(truthteller(X1))
| ~ a_truth(lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_1,axiom,
( ~ a_truth(lower(X1,X2))
| ~ a_truth(truthteller(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_89_0,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(lower(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_1,axiom,
( ~ a_truth(lower(X2,X1))
| ~ a_truth(liar(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_90_0,axiom,
( a_truth(lower(X1,X2))
| a_truth(not_lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_1,axiom,
( a_truth(not_lower(X1,X2))
| a_truth(lower(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_91_0,axiom,
( ~ a_truth(normal(X1))
| ~ a_truth(truthteller(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_1,axiom,
( ~ a_truth(truthteller(X1))
| ~ a_truth(normal(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_92_0,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(truthteller(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_1,axiom,
( ~ a_truth(truthteller(X1))
| ~ a_truth(liar(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_93_0,axiom,
( ~ a_truth(normal(X1))
| ~ a_truth(liar(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_1,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(normal(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_94_0,axiom,
( a_truth(normal(X1))
| a_truth(liar(X1))
| a_truth(truthteller(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_1,axiom,
( a_truth(liar(X1))
| a_truth(normal(X1))
| a_truth(truthteller(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_2,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1))
| a_truth(normal(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_006,hypothesis,
a_truth(says(b,not_lower(a,b))),
file('<stdin>',b_says_a_not_lower_than_b) ).
fof(c_0_1_007,hypothesis,
a_truth(says(a,lower(a,b))),
file('<stdin>',a_says_a_lower_than_b) ).
fof(c_0_2_008,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b))
| answer(a_and_b_liar) ),
file('<stdin>',a_and_b_liar) ).
fof(c_0_3_009,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
file('<stdin>',a_liar_b_normal) ).
fof(c_0_4_010,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(truthteller(b))
| answer(a_liar_b_truthteller) ),
file('<stdin>',a_liar_b_truthteller) ).
fof(c_0_5_011,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b))
| answer(a_normal_b_liar) ),
file('<stdin>',a_normal_b_liar) ).
fof(c_0_6_012,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| answer(a_and_b_normal) ),
file('<stdin>',a_and_b_normal) ).
fof(c_0_7_013,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(truthteller(b))
| answer(a_normal_b_truthteller) ),
file('<stdin>',a_normal_b_truthteller) ).
fof(c_0_8_014,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b))
| answer(a_truthteller_b_liar) ),
file('<stdin>',a_truthteller_b_liar) ).
fof(c_0_9_015,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b))
| answer(a_truthteller_b_normal) ),
file('<stdin>',a_truthteller_b_normal) ).
fof(c_0_10_016,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(truthteller(b))
| answer(a_and_b_truthteller) ),
file('<stdin>',a_and_b_truthteller) ).
fof(c_0_11_017,negated_conjecture,
! [X1] : ~ answer(X1),
file('<stdin>',prove_there_is_an_answer) ).
fof(c_0_12_018,hypothesis,
a_truth(says(b,not_lower(a,b))),
c_0_0 ).
fof(c_0_13_019,hypothesis,
a_truth(says(a,lower(a,b))),
c_0_1 ).
fof(c_0_14_020,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b))
| answer(a_and_b_liar) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_15_021,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_16_022,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(truthteller(b))
| answer(a_liar_b_truthteller) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_17_023,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b))
| answer(a_normal_b_liar) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_18_024,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| answer(a_and_b_normal) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_19_025,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(truthteller(b))
| answer(a_normal_b_truthteller) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_20_026,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b))
| answer(a_truthteller_b_liar) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_21_027,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b))
| answer(a_truthteller_b_normal) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_22_028,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(truthteller(b))
| answer(a_and_b_truthteller) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_23_029,negated_conjecture,
! [X1] : ~ answer(X1),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_24_030,hypothesis,
a_truth(says(b,not_lower(a,b))),
c_0_12 ).
fof(c_0_25_031,hypothesis,
a_truth(says(a,lower(a,b))),
c_0_13 ).
fof(c_0_26_032,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b))
| answer(a_and_b_liar) ),
c_0_14 ).
fof(c_0_27_033,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
c_0_15 ).
fof(c_0_28_034,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(truthteller(b))
| answer(a_liar_b_truthteller) ),
c_0_16 ).
fof(c_0_29_035,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b))
| answer(a_normal_b_liar) ),
c_0_17 ).
fof(c_0_30_036,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| answer(a_and_b_normal) ),
c_0_18 ).
fof(c_0_31_037,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(truthteller(b))
| answer(a_normal_b_truthteller) ),
c_0_19 ).
fof(c_0_32_038,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b))
| answer(a_truthteller_b_liar) ),
c_0_20 ).
fof(c_0_33_039,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b))
| answer(a_truthteller_b_normal) ),
c_0_21 ).
fof(c_0_34_040,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(truthteller(b))
| answer(a_and_b_truthteller) ),
c_0_22 ).
fof(c_0_35_041,negated_conjecture,
! [X2] : ~ answer(X2),
inference(variable_rename,[status(thm)],[c_0_23]) ).
cnf(c_0_36_042,hypothesis,
a_truth(says(b,not_lower(a,b))),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37_043,hypothesis,
a_truth(says(a,lower(a,b))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38_044,hypothesis,
( answer(a_and_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39_045,hypothesis,
( answer(a_liar_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(liar(a)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40_046,hypothesis,
( answer(a_liar_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41_047,hypothesis,
( answer(a_normal_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42_048,hypothesis,
( answer(a_and_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43_049,hypothesis,
( answer(a_normal_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_44_050,hypothesis,
( answer(a_truthteller_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(truthteller(a)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45_051,hypothesis,
( answer(a_truthteller_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(truthteller(a)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46_052,hypothesis,
( answer(a_and_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_47_053,negated_conjecture,
~ answer(X1),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48_054,hypothesis,
a_truth(says(b,not_lower(a,b))),
c_0_36,
[final] ).
cnf(c_0_49_055,hypothesis,
a_truth(says(a,lower(a,b))),
c_0_37,
[final] ).
cnf(c_0_50_056,hypothesis,
( answer(a_and_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
c_0_38,
[final] ).
cnf(c_0_51_057,hypothesis,
( answer(a_liar_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(liar(a)) ),
c_0_39,
[final] ).
cnf(c_0_52_058,hypothesis,
( answer(a_liar_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
c_0_40,
[final] ).
cnf(c_0_53_059,hypothesis,
( answer(a_normal_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
c_0_41,
[final] ).
cnf(c_0_54_060,hypothesis,
( answer(a_and_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
c_0_42,
[final] ).
cnf(c_0_55_061,hypothesis,
( answer(a_normal_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
c_0_43,
[final] ).
cnf(c_0_56_062,hypothesis,
( answer(a_truthteller_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(truthteller(a)) ),
c_0_44,
[final] ).
cnf(c_0_57_063,hypothesis,
( answer(a_truthteller_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(truthteller(a)) ),
c_0_45,
[final] ).
cnf(c_0_58_064,hypothesis,
( answer(a_and_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
c_0_46,
[final] ).
cnf(c_0_59_065,negated_conjecture,
~ answer(X1),
c_0_47,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_62,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a))
| answer(a_and_b_normal) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4b8a85.p',c_0_54) ).
cnf(c_94,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a))
| answer(a_and_b_normal) ),
inference(copy,[status(esa)],[c_62]) ).
cnf(c_116,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a))
| answer(a_and_b_normal) ),
inference(copy,[status(esa)],[c_94]) ).
cnf(c_131,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a))
| answer(a_and_b_normal) ),
inference(copy,[status(esa)],[c_116]) ).
cnf(c_146,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a))
| answer(a_and_b_normal) ),
inference(copy,[status(esa)],[c_131]) ).
cnf(c_354,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a))
| answer(a_and_b_normal) ),
inference(copy,[status(esa)],[c_146]) ).
cnf(c_67,negated_conjecture,
~ answer(X0),
file('/export/starexec/sandbox/tmp/iprover_modulo_4b8a85.p',c_0_59) ).
cnf(c_108,negated_conjecture,
~ answer(X0),
inference(copy,[status(esa)],[c_67]) ).
cnf(c_121,negated_conjecture,
~ answer(X0),
inference(copy,[status(esa)],[c_108]) ).
cnf(c_126,negated_conjecture,
~ answer(X0),
inference(copy,[status(esa)],[c_121]) ).
cnf(c_139,negated_conjecture,
~ answer(X0),
inference(copy,[status(esa)],[c_126]) ).
cnf(c_340,negated_conjecture,
~ answer(X0),
inference(copy,[status(esa)],[c_139]) ).
cnf(c_460,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_354,c_340]) ).
cnf(c_461,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
inference(rewriting,[status(thm)],[c_460]) ).
cnf(c_54,plain,
( a_truth(truthteller(X0))
| a_truth(liar(X0))
| a_truth(normal(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4b8a85.p',c_0_94_0) ).
cnf(c_326,plain,
( a_truth(truthteller(X0))
| a_truth(liar(X0))
| a_truth(normal(X0)) ),
inference(copy,[status(esa)],[c_54]) ).
cnf(c_466,plain,
( a_truth(truthteller(a))
| a_truth(liar(a))
| ~ a_truth(normal(b)) ),
inference(resolution,[status(thm)],[c_461,c_326]) ).
cnf(c_469,plain,
( a_truth(truthteller(a))
| a_truth(liar(a))
| ~ a_truth(normal(b)) ),
inference(rewriting,[status(thm)],[c_466]) ).
cnf(c_59,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4b8a85.p',c_0_51) ).
cnf(c_88,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
inference(copy,[status(esa)],[c_59]) ).
cnf(c_113,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
inference(copy,[status(esa)],[c_88]) ).
cnf(c_134,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
inference(copy,[status(esa)],[c_113]) ).
cnf(c_143,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
inference(copy,[status(esa)],[c_134]) ).
cnf(c_348,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
inference(copy,[status(esa)],[c_143]) ).
cnf(c_417,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_348,c_340]) ).
cnf(c_418,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b)) ),
inference(rewriting,[status(thm)],[c_417]) ).
cnf(c_423,plain,
( a_truth(truthteller(b))
| a_truth(liar(b))
| ~ a_truth(liar(a)) ),
inference(resolution,[status(thm)],[c_418,c_326]) ).
cnf(c_426,plain,
( a_truth(truthteller(b))
| a_truth(liar(b))
| ~ a_truth(liar(a)) ),
inference(rewriting,[status(thm)],[c_423]) ).
cnf(c_58,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a))
| answer(a_and_b_liar) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4b8a85.p',c_0_50) ).
cnf(c_86,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a))
| answer(a_and_b_liar) ),
inference(copy,[status(esa)],[c_58]) ).
cnf(c_112,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a))
| answer(a_and_b_liar) ),
inference(copy,[status(esa)],[c_86]) ).
cnf(c_135,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a))
| answer(a_and_b_liar) ),
inference(copy,[status(esa)],[c_112]) ).
cnf(c_142,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a))
| answer(a_and_b_liar) ),
inference(copy,[status(esa)],[c_135]) ).
cnf(c_346,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a))
| answer(a_and_b_liar) ),
inference(copy,[status(esa)],[c_142]) ).
cnf(c_404,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_346,c_340]) ).
cnf(c_405,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
inference(rewriting,[status(thm)],[c_404]) ).
cnf(c_60,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a))
| answer(a_liar_b_truthteller) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4b8a85.p',c_0_52) ).
cnf(c_90,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a))
| answer(a_liar_b_truthteller) ),
inference(copy,[status(esa)],[c_60]) ).
cnf(c_114,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a))
| answer(a_liar_b_truthteller) ),
inference(copy,[status(esa)],[c_90]) ).
cnf(c_133,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a))
| answer(a_liar_b_truthteller) ),
inference(copy,[status(esa)],[c_114]) ).
cnf(c_144,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a))
| answer(a_liar_b_truthteller) ),
inference(copy,[status(esa)],[c_133]) ).
cnf(c_350,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a))
| answer(a_liar_b_truthteller) ),
inference(copy,[status(esa)],[c_144]) ).
cnf(c_432,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_350,c_340]) ).
cnf(c_433,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
inference(rewriting,[status(thm)],[c_432]) ).
cnf(c_542,plain,
~ a_truth(liar(a)),
inference(forward_subsumption_resolution,[status(thm)],[c_426,c_405,c_433]) ).
cnf(c_543,plain,
~ a_truth(liar(a)),
inference(rewriting,[status(thm)],[c_542]) ).
cnf(c_65,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b))
| answer(a_truthteller_b_normal) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4b8a85.p',c_0_57) ).
cnf(c_100,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b))
| answer(a_truthteller_b_normal) ),
inference(copy,[status(esa)],[c_65]) ).
cnf(c_119,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b))
| answer(a_truthteller_b_normal) ),
inference(copy,[status(esa)],[c_100]) ).
cnf(c_128,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b))
| answer(a_truthteller_b_normal) ),
inference(copy,[status(esa)],[c_119]) ).
cnf(c_137,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b))
| answer(a_truthteller_b_normal) ),
inference(copy,[status(esa)],[c_128]) ).
cnf(c_336,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b))
| answer(a_truthteller_b_normal) ),
inference(copy,[status(esa)],[c_137]) ).
cnf(c_376,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_336,c_340]) ).
cnf(c_377,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b)) ),
inference(rewriting,[status(thm)],[c_376]) ).
cnf(c_382,plain,
( a_truth(truthteller(b))
| ~ a_truth(truthteller(a))
| a_truth(liar(b)) ),
inference(resolution,[status(thm)],[c_377,c_326]) ).
cnf(c_385,plain,
( a_truth(truthteller(b))
| ~ a_truth(truthteller(a))
| a_truth(liar(b)) ),
inference(rewriting,[status(thm)],[c_382]) ).
cnf(c_64,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b))
| answer(a_truthteller_b_liar) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4b8a85.p',c_0_56) ).
cnf(c_98,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b))
| answer(a_truthteller_b_liar) ),
inference(copy,[status(esa)],[c_64]) ).
cnf(c_118,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b))
| answer(a_truthteller_b_liar) ),
inference(copy,[status(esa)],[c_98]) ).
cnf(c_129,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b))
| answer(a_truthteller_b_liar) ),
inference(copy,[status(esa)],[c_118]) ).
cnf(c_136,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b))
| answer(a_truthteller_b_liar) ),
inference(copy,[status(esa)],[c_129]) ).
cnf(c_334,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b))
| answer(a_truthteller_b_liar) ),
inference(copy,[status(esa)],[c_136]) ).
cnf(c_363,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_334,c_340]) ).
cnf(c_364,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b)) ),
inference(rewriting,[status(thm)],[c_363]) ).
cnf(c_66,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a))
| answer(a_and_b_truthteller) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4b8a85.p',c_0_58) ).
cnf(c_102,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a))
| answer(a_and_b_truthteller) ),
inference(copy,[status(esa)],[c_66]) ).
cnf(c_120,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a))
| answer(a_and_b_truthteller) ),
inference(copy,[status(esa)],[c_102]) ).
cnf(c_127,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a))
| answer(a_and_b_truthteller) ),
inference(copy,[status(esa)],[c_120]) ).
cnf(c_138,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a))
| answer(a_and_b_truthteller) ),
inference(copy,[status(esa)],[c_127]) ).
cnf(c_338,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a))
| answer(a_and_b_truthteller) ),
inference(copy,[status(esa)],[c_138]) ).
cnf(c_391,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_338,c_340]) ).
cnf(c_392,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
inference(rewriting,[status(thm)],[c_391]) ).
cnf(c_498,plain,
~ a_truth(truthteller(a)),
inference(forward_subsumption_resolution,[status(thm)],[c_385,c_364,c_392]) ).
cnf(c_499,plain,
~ a_truth(truthteller(a)),
inference(rewriting,[status(thm)],[c_498]) ).
cnf(c_566,plain,
~ a_truth(normal(b)),
inference(forward_subsumption_resolution,[status(thm)],[c_469,c_543,c_499]) ).
cnf(c_567,plain,
~ a_truth(normal(b)),
inference(rewriting,[status(thm)],[c_566]) ).
cnf(c_571,plain,
( a_truth(truthteller(b))
| a_truth(liar(b)) ),
inference(resolution,[status(thm)],[c_567,c_326]) ).
cnf(c_574,plain,
( a_truth(truthteller(b))
| a_truth(liar(b)) ),
inference(rewriting,[status(thm)],[c_571]) ).
cnf(c_61,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_liar) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4b8a85.p',c_0_53) ).
cnf(c_92,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_liar) ),
inference(copy,[status(esa)],[c_61]) ).
cnf(c_115,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_liar) ),
inference(copy,[status(esa)],[c_92]) ).
cnf(c_132,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_liar) ),
inference(copy,[status(esa)],[c_115]) ).
cnf(c_145,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_liar) ),
inference(copy,[status(esa)],[c_132]) ).
cnf(c_352,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_liar) ),
inference(copy,[status(esa)],[c_145]) ).
cnf(c_445,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_352,c_340]) ).
cnf(c_446,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
inference(rewriting,[status(thm)],[c_445]) ).
cnf(c_451,plain,
( a_truth(truthteller(a))
| ~ a_truth(liar(b))
| a_truth(liar(a)) ),
inference(resolution,[status(thm)],[c_446,c_326]) ).
cnf(c_454,plain,
( a_truth(truthteller(a))
| ~ a_truth(liar(b))
| a_truth(liar(a)) ),
inference(rewriting,[status(thm)],[c_451]) ).
cnf(c_554,plain,
~ a_truth(liar(b)),
inference(forward_subsumption_resolution,[status(thm)],[c_454,c_543,c_499]) ).
cnf(c_555,plain,
~ a_truth(liar(b)),
inference(rewriting,[status(thm)],[c_554]) ).
cnf(c_579,plain,
a_truth(truthteller(b)),
inference(forward_subsumption_resolution,[status(thm)],[c_574,c_555]) ).
cnf(c_580,plain,
a_truth(truthteller(b)),
inference(rewriting,[status(thm)],[c_579]) ).
cnf(c_63,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_truthteller) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4b8a85.p',c_0_55) ).
cnf(c_96,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_truthteller) ),
inference(copy,[status(esa)],[c_63]) ).
cnf(c_117,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_truthteller) ),
inference(copy,[status(esa)],[c_96]) ).
cnf(c_130,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_truthteller) ),
inference(copy,[status(esa)],[c_117]) ).
cnf(c_147,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_truthteller) ),
inference(copy,[status(esa)],[c_130]) ).
cnf(c_356,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_truthteller) ),
inference(copy,[status(esa)],[c_147]) ).
cnf(c_475,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_356,c_340]) ).
cnf(c_476,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
inference(rewriting,[status(thm)],[c_475]) ).
cnf(c_582,plain,
~ a_truth(normal(a)),
inference(backward_subsumption_resolution,[status(thm)],[c_580,c_476]) ).
cnf(c_583,plain,
~ a_truth(normal(a)),
inference(rewriting,[status(thm)],[c_582]) ).
cnf(c_594,plain,
( a_truth(truthteller(a))
| a_truth(liar(a)) ),
inference(resolution,[status(thm)],[c_583,c_326]) ).
cnf(c_597,plain,
( a_truth(truthteller(a))
| a_truth(liar(a)) ),
inference(rewriting,[status(thm)],[c_594]) ).
cnf(c_618,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_597,c_543,c_499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat May 28 19:35:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.19/0.39 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.39 % Orientation found
% 0.19/0.39 % 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/sandbox/tmp/iprover_proof_b30d86.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_4b8a85.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_4e9a31 | grep -v "SZS"
% 0.19/0.42
% 0.19/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % ------ iProver source info
% 0.19/0.42
% 0.19/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.42 % git: non_committed_changes: true
% 0.19/0.42 % git: last_make_outside_of_git: true
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % ------ Input Options
% 0.19/0.42
% 0.19/0.42 % --out_options all
% 0.19/0.42 % --tptp_safe_out true
% 0.19/0.42 % --problem_path ""
% 0.19/0.42 % --include_path ""
% 0.19/0.42 % --clausifier .//eprover
% 0.19/0.42 % --clausifier_options --tstp-format
% 0.19/0.42 % --stdin false
% 0.19/0.42 % --dbg_backtrace false
% 0.19/0.42 % --dbg_dump_prop_clauses false
% 0.19/0.42 % --dbg_dump_prop_clauses_file -
% 0.19/0.42 % --dbg_out_stat false
% 0.19/0.42
% 0.19/0.42 % ------ General Options
% 0.19/0.42
% 0.19/0.42 % --fof false
% 0.19/0.42 % --time_out_real 150.
% 0.19/0.42 % --time_out_prep_mult 0.2
% 0.19/0.42 % --time_out_virtual -1.
% 0.19/0.42 % --schedule none
% 0.19/0.42 % --ground_splitting input
% 0.19/0.42 % --splitting_nvd 16
% 0.19/0.42 % --non_eq_to_eq false
% 0.19/0.42 % --prep_gs_sim true
% 0.19/0.42 % --prep_unflatten false
% 0.19/0.42 % --prep_res_sim true
% 0.19/0.42 % --prep_upred true
% 0.19/0.42 % --res_sim_input true
% 0.19/0.42 % --clause_weak_htbl true
% 0.19/0.42 % --gc_record_bc_elim false
% 0.19/0.42 % --symbol_type_check false
% 0.19/0.42 % --clausify_out false
% 0.19/0.42 % --large_theory_mode false
% 0.19/0.42 % --prep_sem_filter none
% 0.19/0.42 % --prep_sem_filter_out false
% 0.19/0.42 % --preprocessed_out false
% 0.19/0.42 % --sub_typing false
% 0.19/0.42 % --brand_transform false
% 0.19/0.42 % --pure_diseq_elim true
% 0.19/0.42 % --min_unsat_core false
% 0.19/0.42 % --pred_elim true
% 0.19/0.42 % --add_important_lit false
% 0.19/0.42 % --soft_assumptions false
% 0.19/0.42 % --reset_solvers false
% 0.19/0.42 % --bc_imp_inh []
% 0.19/0.42 % --conj_cone_tolerance 1.5
% 0.19/0.42 % --prolific_symb_bound 500
% 0.19/0.42 % --lt_threshold 2000
% 0.19/0.42
% 0.19/0.42 % ------ SAT Options
% 0.19/0.42
% 0.19/0.42 % --sat_mode false
% 0.19/0.42 % --sat_fm_restart_options ""
% 0.19/0.42 % --sat_gr_def false
% 0.19/0.42 % --sat_epr_types true
% 0.19/0.42 % --sat_non_cyclic_types false
% 0.19/0.42 % --sat_finite_models false
% 0.19/0.42 % --sat_fm_lemmas false
% 0.19/0.42 % --sat_fm_prep false
% 0.19/0.42 % --sat_fm_uc_incr true
% 0.19/0.42 % --sat_out_model small
% 0.19/0.42 % --sat_out_clauses false
% 0.19/0.42
% 0.19/0.42 % ------ QBF Options
% 0.19/0.42
% 0.19/0.42 % --qbf_mode false
% 0.19/0.42 % --qbf_elim_univ true
% 0.19/0.42 % --qbf_sk_in true
% 0.19/0.42 % --qbf_pred_elim true
% 0.19/0.42 % --qbf_split 32
% 0.19/0.42
% 0.19/0.42 % ------ BMC1 Options
% 0.19/0.42
% 0.19/0.42 % --bmc1_incremental false
% 0.19/0.42 % --bmc1_axioms reachable_all
% 0.19/0.42 % --bmc1_min_bound 0
% 0.19/0.42 % --bmc1_max_bound -1
% 0.19/0.42 % --bmc1_max_bound_default -1
% 0.19/0.42 % --bmc1_symbol_reachability true
% 0.19/0.42 % --bmc1_property_lemmas false
% 0.19/0.42 % --bmc1_k_induction false
% 0.19/0.42 % --bmc1_non_equiv_states false
% 0.19/0.42 % --bmc1_deadlock false
% 0.19/0.42 % --bmc1_ucm false
% 0.19/0.42 % --bmc1_add_unsat_core none
% 0.19/0.42 % --bmc1_unsat_core_children false
% 0.19/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.42 % --bmc1_out_stat full
% 0.19/0.42 % --bmc1_ground_init false
% 0.19/0.42 % --bmc1_pre_inst_next_state false
% 0.19/0.42 % --bmc1_pre_inst_state false
% 0.19/0.42 % --bmc1_pre_inst_reach_state false
% 0.19/0.42 % --bmc1_out_unsat_core false
% 0.19/0.42 % --bmc1_aig_witness_out false
% 0.19/0.42 % --bmc1_verbose false
% 0.19/0.42 % --bmc1_dump_clauses_tptp false
% 0.19/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.43 % --bmc1_dump_file -
% 0.19/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.43 % --bmc1_ucm_extend_mode 1
% 0.19/0.43 % --bmc1_ucm_init_mode 2
% 0.19/0.43 % --bmc1_ucm_cone_mode none
% 0.19/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.43 % --bmc1_ucm_relax_model 4
% 0.19/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.43 % --bmc1_ucm_layered_model none
% 0.19/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.43
% 0.19/0.43 % ------ AIG Options
% 0.19/0.43
% 0.19/0.43 % --aig_mode false
% 0.19/0.43
% 0.19/0.43 % ------ Instantiation Options
% 0.19/0.43
% 0.19/0.43 % --instantiation_flag true
% 0.19/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.43 % --inst_solver_per_active 750
% 0.19/0.43 % --inst_solver_calls_frac 0.5
% 0.19/0.43 % --inst_passive_queue_type priority_queues
% 0.19/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.43 % --inst_passive_queues_freq [25;2]
% 0.19/0.43 % --inst_dismatching true
% 0.19/0.43 % --inst_eager_unprocessed_to_passive true
% 0.19/0.43 % --inst_prop_sim_given true
% 0.19/0.43 % --inst_prop_sim_new false
% 0.19/0.43 % --inst_orphan_elimination true
% 0.19/0.43 % --inst_learning_loop_flag true
% 0.19/0.43 % --inst_learning_start 3000
% 0.19/0.43 % --inst_learning_factor 2
% 0.19/0.43 % --inst_start_prop_sim_after_learn 3
% 0.19/0.43 % --inst_sel_renew solver
% 0.19/0.43 % --inst_lit_activity_flag true
% 0.19/0.43 % --inst_out_proof true
% 0.19/0.43
% 0.19/0.43 % ------ Resolution Options
% 0.19/0.43
% 0.19/0.43 % --resolution_flag true
% 0.19/0.43 % --res_lit_sel kbo_max
% 0.19/0.43 % --res_to_prop_solver none
% 0.19/0.43 % --res_prop_simpl_new false
% 0.19/0.43 % --res_prop_simpl_given false
% 0.19/0.43 % --res_passive_queue_type priority_queues
% 0.19/0.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.43 % --res_passive_queues_freq [15;5]
% 0.19/0.43 % --res_forward_subs full
% 0.19/0.43 % --res_backward_subs full
% 0.19/0.43 % --res_forward_subs_resolution true
% 0.19/0.43 % --res_backward_subs_resolution true
% 0.19/0.43 % --res_orphan_elimination false
% 0.19/0.43 % --res_time_limit 1000.
% 0.19/0.43 % --res_out_proof true
% 0.19/0.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_b30d86.s
% 0.19/0.43 % --modulo true
% 0.19/0.43
% 0.19/0.43 % ------ Combination Options
% 0.19/0.43
% 0.19/0.43 % --comb_res_mult 1000
% 0.19/0.43 % --comb_inst_mult 300
% 0.19/0.43 % ------
% 0.19/0.43
% 0.19/0.43 % ------ Parsing...% successful
% 0.19/0.43
% 0.19/0.43 % ------ 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 %
% 0.19/0.43
% 0.19/0.43 % ------ Proving...
% 0.19/0.43 % ------ Problem Properties
% 0.19/0.43
% 0.19/0.43 %
% 0.19/0.43 % EPR false
% 0.19/0.43 % Horn false
% 0.19/0.43 % Has equality false
% 0.19/0.43
% 0.19/0.43 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 % % ------ Current options:
% 0.19/0.43
% 0.19/0.43 % ------ Input Options
% 0.19/0.43
% 0.19/0.43 % --out_options all
% 0.19/0.43 % --tptp_safe_out true
% 0.19/0.43 % --problem_path ""
% 0.19/0.43 % --include_path ""
% 0.19/0.43 % --clausifier .//eprover
% 0.19/0.43 % --clausifier_options --tstp-format
% 0.19/0.43 % --stdin false
% 0.19/0.43 % --dbg_backtrace false
% 0.19/0.43 % --dbg_dump_prop_clauses false
% 0.19/0.43 % --dbg_dump_prop_clauses_file -
% 0.19/0.43 % --dbg_out_stat false
% 0.19/0.43
% 0.19/0.43 % ------ General Options
% 0.19/0.43
% 0.19/0.43 % --fof false
% 0.19/0.43 % --time_out_real 150.
% 0.19/0.43 % --time_out_prep_mult 0.2
% 0.19/0.43 % --time_out_virtual -1.
% 0.19/0.43 % --schedule none
% 0.19/0.43 % --ground_splitting input
% 0.19/0.43 % --splitting_nvd 16
% 0.19/0.43 % --non_eq_to_eq false
% 0.19/0.43 % --prep_gs_sim true
% 0.19/0.43 % --prep_unflatten false
% 0.19/0.43 % --prep_res_sim true
% 0.19/0.43 % --prep_upred true
% 0.19/0.43 % --res_sim_input true
% 0.19/0.43 % --clause_weak_htbl true
% 0.19/0.43 % --gc_record_bc_elim false
% 0.19/0.43 % --symbol_type_check false
% 0.19/0.43 % --clausify_out false
% 0.19/0.43 % --large_theory_mode false
% 0.19/0.43 % --prep_sem_filter none
% 0.19/0.43 % --prep_sem_filter_out false
% 0.19/0.43 % --preprocessed_out false
% 0.19/0.43 % --sub_typing false
% 0.19/0.43 % --brand_transform false
% 0.19/0.43 % --pure_diseq_elim true
% 0.19/0.43 % --min_unsat_core false
% 0.19/0.43 % --pred_elim true
% 0.19/0.43 % --add_important_lit false
% 0.19/0.43 % --soft_assumptions false
% 0.19/0.43 % --reset_solvers false
% 0.19/0.43 % --bc_imp_inh []
% 0.19/0.43 % --conj_cone_tolerance 1.5
% 0.19/0.43 % --prolific_symb_bound 500
% 0.19/0.43 % --lt_threshold 2000
% 0.19/0.43
% 0.19/0.43 % ------ SAT Options
% 0.19/0.43
% 0.19/0.43 % --sat_mode false
% 0.19/0.43 % --sat_fm_restart_options ""
% 0.19/0.43 % --sat_gr_def false
% 0.19/0.43 % --sat_epr_types true
% 0.19/0.43 % --sat_non_cyclic_types false
% 0.19/0.43 % --sat_finite_models false
% 0.19/0.43 % --sat_fm_lemmas false
% 0.19/0.43 % --sat_fm_prep false
% 0.19/0.43 % --sat_fm_uc_incr true
% 0.19/0.43 % --sat_out_model small
% 0.19/0.43 % --sat_out_clauses false
% 0.19/0.43
% 0.19/0.43 % ------ QBF Options
% 0.19/0.43
% 0.19/0.43 % --qbf_mode false
% 0.19/0.43 % --qbf_elim_univ true
% 0.19/0.43 % --qbf_sk_in true
% 0.19/0.43 % --qbf_pred_elim true
% 0.19/0.43 % --qbf_split 32
% 0.19/0.43
% 0.19/0.43 % ------ BMC1 Options
% 0.19/0.43
% 0.19/0.43 % --bmc1_incremental false
% 0.19/0.43 % --bmc1_axioms reachable_all
% 0.19/0.43 % --bmc1_min_bound 0
% 0.19/0.43 % --bmc1_max_bound -1
% 0.19/0.43 % --bmc1_max_bound_default -1
% 0.19/0.43 % --bmc1_symbol_reachability true
% 0.19/0.43 % --bmc1_property_lemmas false
% 0.19/0.43 % --bmc1_k_induction false
% 0.19/0.43 % --bmc1_non_equiv_states false
% 0.19/0.43 % --bmc1_deadlock false
% 0.19/0.43 % --bmc1_ucm false
% 0.19/0.43 % --bmc1_add_unsat_core none
% 0.19/0.43 % --bmc1_unsat_core_children false
% 0.19/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.43 % --bmc1_out_stat full
% 0.19/0.43 % --bmc1_ground_init false
% 0.19/0.43 % --bmc1_pre_inst_next_state false
% 0.19/0.43 % --bmc1_pre_inst_state false
% 0.19/0.43 % --bmc1_pre_inst_reach_state false
% 0.19/0.43 % --bmc1_out_unsat_core false
% 0.19/0.43 % --bmc1_aig_witness_out false
% 0.19/0.43 % --bmc1_verbose false
% 0.19/0.43 % --bmc1_dump_clauses_tptp false
% 0.19/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.43 % --bmc1_dump_file -
% 0.19/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.43 % --bmc1_ucm_extend_mode 1
% 0.19/0.43 % --bmc1_ucm_init_mode 2
% 0.19/0.43 % --bmc1_ucm_cone_mode none
% 0.19/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.43 % --bmc1_ucm_relax_model 4
% 0.19/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.43 % --bmc1_ucm_layered_model none
% 0.19/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.43
% 0.19/0.43 % ------ AIG Options
% 0.19/0.43
% 0.19/0.43 % --aig_mode false
% 0.19/0.43
% 0.19/0.43 % ------ Instantiation Options
% 0.19/0.43
% 0.19/0.43 % --instantiation_flag true
% 0.19/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.43 % --inst_solver_per_active 750
% 0.19/0.43 % --inst_solver_calls_frac 0.5
% 0.19/0.43 % --inst_passive_queue_type priority_queues
% 0.19/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.43 % --inst_passive_queues_freq [25;2]
% 0.19/0.43 % --inst_dismatching true
% 0.19/0.43 % --inst_eager_unprocessed_to_passive true
% 0.19/0.43 % --inst_prop_sim_given true
% 0.19/0.44 % --inst_prop_sim_new false
% 0.19/0.44 % --inst_orphan_elimination true
% 0.19/0.44 % --inst_learning_loop_flag true
% 0.19/0.44 % --inst_learning_start 3000
% 0.19/0.44 % --inst_learning_factor 2
% 0.19/0.44 % --inst_start_prop_sim_after_learn 3
% 0.19/0.44 % --inst_sel_renew solver
% 0.19/0.44 % --inst_lit_activity_flag true
% 0.19/0.44 % --inst_out_proof true
% 0.19/0.44
% 0.19/0.44 % ------ Resolution Options
% 0.19/0.44
% 0.19/0.44 % --resolution_flag true
% 0.19/0.44 % --res_lit_sel kbo_max
% 0.19/0.44 % --res_to_prop_solver none
% 0.19/0.44 % --res_prop_simpl_new false
% 0.19/0.44 % --res_prop_simpl_given false
% 0.19/0.44 % --res_passive_queue_type priority_queues
% 0.19/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.44 % --res_passive_queues_freq [15;5]
% 0.19/0.44 % --res_forward_subs full
% 0.19/0.44 % --res_backward_subs full
% 0.19/0.44 % --res_forward_subs_resolution true
% 0.19/0.44 % --res_backward_subs_resolution true
% 0.19/0.44 % --res_orphan_elimination false
% 0.19/0.44 % --res_time_limit 1000.
% 0.19/0.44 % --res_out_proof true
% 0.19/0.44 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_b30d86.s
% 0.19/0.44 % --modulo true
% 0.19/0.44
% 0.19/0.44 % ------ Combination Options
% 0.19/0.44
% 0.19/0.44 % --comb_res_mult 1000
% 0.19/0.44 % --comb_inst_mult 300
% 0.19/0.44 % ------
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % ------ Proving...
% 0.19/0.44 %
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % Resolution empty clause
% 0.19/0.44
% 0.19/0.44 % ------ Statistics
% 0.19/0.44
% 0.19/0.44 % ------ General
% 0.19/0.44
% 0.19/0.44 % num_of_input_clauses: 70
% 0.19/0.44 % num_of_input_neg_conjectures: 1
% 0.19/0.44 % num_of_splits: 0
% 0.19/0.44 % num_of_split_atoms: 0
% 0.19/0.44 % num_of_sem_filtered_clauses: 0
% 0.19/0.44 % num_of_subtypes: 0
% 0.19/0.44 % monotx_restored_types: 0
% 0.19/0.44 % sat_num_of_epr_types: 0
% 0.19/0.44 % sat_num_of_non_cyclic_types: 0
% 0.19/0.44 % sat_guarded_non_collapsed_types: 0
% 0.19/0.44 % is_epr: 0
% 0.19/0.44 % is_horn: 0
% 0.19/0.44 % has_eq: 0
% 0.19/0.44 % num_pure_diseq_elim: 0
% 0.19/0.44 % simp_replaced_by: 0
% 0.19/0.44 % res_preprocessed: 13
% 0.19/0.44 % prep_upred: 0
% 0.19/0.44 % prep_unflattend: 0
% 0.19/0.44 % pred_elim_cands: 1
% 0.19/0.44 % pred_elim: 0
% 0.19/0.44 % pred_elim_cl: 0
% 0.19/0.44 % pred_elim_cycles: 1
% 0.19/0.44 % forced_gc_time: 0
% 0.19/0.44 % gc_basic_clause_elim: 0
% 0.19/0.44 % parsing_time: 0.003
% 0.19/0.44 % sem_filter_time: 0.
% 0.19/0.44 % pred_elim_time: 0.
% 0.19/0.44 % out_proof_time: 0.003
% 0.19/0.44 % monotx_time: 0.
% 0.19/0.44 % subtype_inf_time: 0.
% 0.19/0.44 % unif_index_cands_time: 0.
% 0.19/0.44 % unif_index_add_time: 0.
% 0.19/0.44 % total_time: 0.035
% 0.19/0.44 % num_of_symbols: 44
% 0.19/0.44 % num_of_terms: 205
% 0.19/0.44
% 0.19/0.44 % ------ Propositional Solver
% 0.19/0.44
% 0.19/0.44 % prop_solver_calls: 1
% 0.19/0.44 % prop_fast_solver_calls: 61
% 0.19/0.44 % prop_num_of_clauses: 57
% 0.19/0.44 % prop_preprocess_simplified: 272
% 0.19/0.44 % prop_fo_subsumed: 0
% 0.19/0.44 % prop_solver_time: 0.
% 0.19/0.44 % prop_fast_solver_time: 0.
% 0.19/0.44 % prop_unsat_core_time: 0.
% 0.19/0.44
% 0.19/0.44 % ------ QBF
% 0.19/0.44
% 0.19/0.44 % qbf_q_res: 0
% 0.19/0.44 % qbf_num_tautologies: 0
% 0.19/0.44 % qbf_prep_cycles: 0
% 0.19/0.44
% 0.19/0.44 % ------ BMC1
% 0.19/0.44
% 0.19/0.44 % bmc1_current_bound: -1
% 0.19/0.44 % bmc1_last_solved_bound: -1
% 0.19/0.44 % bmc1_unsat_core_size: -1
% 0.19/0.44 % bmc1_unsat_core_parents_size: -1
% 0.19/0.44 % bmc1_merge_next_fun: 0
% 0.19/0.44 % bmc1_unsat_core_clauses_time: 0.
% 0.19/0.44
% 0.19/0.44 % ------ Instantiation
% 0.19/0.44
% 0.19/0.44 % inst_num_of_clauses: 70
% 0.19/0.44 % inst_num_in_passive: 0
% 0.19/0.44 % inst_num_in_active: 0
% 0.19/0.44 % inst_num_in_unprocessed: 70
% 0.19/0.44 % inst_num_of_loops: 0
% 0.19/0.44 % inst_num_of_learning_restarts: 0
% 0.19/0.44 % inst_num_moves_active_passive: 0
% 0.19/0.44 % inst_lit_activity: 0
% 0.19/0.44 % inst_lit_activity_moves: 0
% 0.19/0.44 % inst_num_tautologies: 0
% 0.19/0.44 % inst_num_prop_implied: 0
% 0.19/0.44 % inst_num_existing_simplified: 0
% 0.19/0.44 % inst_num_eq_res_simplified: 0
% 0.19/0.44 % inst_num_child_elim: 0
% 0.19/0.44 % inst_num_of_dismatching_blockings: 0
% 0.19/0.44 % inst_num_of_non_proper_insts: 0
% 0.19/0.44 % inst_num_of_duplicates: 0
% 0.19/0.44 % inst_inst_num_from_inst_to_res: 0
% 0.19/0.44 % inst_dismatching_checking_time: 0.
% 0.19/0.44
% 0.19/0.44 % ------ Resolution
% 0.19/0.44
% 0.19/0.44 % res_num_of_clauses: 125
% 0.19/0.44 % res_num_in_passive: 52
% 0.19/0.44 % res_num_in_active: 38
% 0.19/0.44 % res_num_of_loops: 25
% 0.19/0.44 % res_forward_subset_subsumed: 39
% 0.19/0.44 % res_backward_subset_subsumed: 14
% 0.19/0.44 % res_forward_subsumed: 0
% 0.19/0.44 % res_backward_subsumed: 3
% 0.19/0.44 % res_forward_subsumption_resolution: 20
% 0.19/0.44 % res_backward_subsumption_resolution: 1
% 0.19/0.44 % res_clause_to_clause_subsumption: 49
% 0.19/0.44 % res_orphan_elimination: 0
% 0.19/0.44 % res_tautology_del: 0
% 0.19/0.44 % res_num_eq_res_simplified: 0
% 0.19/0.44 % res_num_sel_changes: 0
% 0.19/0.44 % res_moves_from_active_to_pass: 0
% 0.19/0.44
% 0.19/0.44 % Status Unsatisfiable
% 0.19/0.44 % SZS status Unsatisfiable
% 0.19/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------