TSTP Solution File: SYO607+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n014.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 : Thu Jul 21 16:55:27 EDT 2022
% Result : Theorem 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
fof(false_only_g,axiom,
! [X_2,X_1] :
( g_false_only(X_2,X_1)
<=> ( g_false(X_2,X_1)
& ~ g_true(X_2,X_1) ) ),
input ).
fof(false_only_g_0,plain,
! [X_1,X_2] :
( g_false_only(X_2,X_1)
| ~ ( g_false(X_2,X_1)
& ~ g_true(X_2,X_1) ) ),
inference(orientation,[status(thm)],[false_only_g]) ).
fof(false_only_g_1,plain,
! [X_1,X_2] :
( ~ g_false_only(X_2,X_1)
| ( g_false(X_2,X_1)
& ~ g_true(X_2,X_1) ) ),
inference(orientation,[status(thm)],[false_only_g]) ).
fof(both_g,axiom,
! [X_2,X_1] :
( g_both(X_2,X_1)
<=> ( g_true(X_2,X_1)
& g_false(X_2,X_1) ) ),
input ).
fof(both_g_0,plain,
! [X_1,X_2] :
( g_both(X_2,X_1)
| ~ ( g_true(X_2,X_1)
& g_false(X_2,X_1) ) ),
inference(orientation,[status(thm)],[both_g]) ).
fof(both_g_1,plain,
! [X_1,X_2] :
( ~ g_both(X_2,X_1)
| ( g_true(X_2,X_1)
& g_false(X_2,X_1) ) ),
inference(orientation,[status(thm)],[both_g]) ).
fof(true_only_g,axiom,
! [X_2,X_1] :
( g_true_only(X_2,X_1)
<=> ( g_true(X_2,X_1)
& ~ g_false(X_2,X_1) ) ),
input ).
fof(true_only_g_0,plain,
! [X_1,X_2] :
( g_true_only(X_2,X_1)
| ~ ( g_true(X_2,X_1)
& ~ g_false(X_2,X_1) ) ),
inference(orientation,[status(thm)],[true_only_g]) ).
fof(true_only_g_1,plain,
! [X_1,X_2] :
( ~ g_true_only(X_2,X_1)
| ( g_true(X_2,X_1)
& ~ g_false(X_2,X_1) ) ),
inference(orientation,[status(thm)],[true_only_g]) ).
fof(def_lhs_atom1,axiom,
! [X_2,X_1] :
( lhs_atom1(X_2,X_1)
<=> ~ g_true_only(X_2,X_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [X_1,X_2] :
( lhs_atom1(X_2,X_1)
| ( g_true(X_2,X_1)
& ~ g_false(X_2,X_1) ) ),
inference(fold_definition,[status(thm)],[true_only_g_1,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [X_2,X_1] :
( lhs_atom2(X_2,X_1)
<=> g_true_only(X_2,X_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [X_1,X_2] :
( lhs_atom2(X_2,X_1)
| ~ ( g_true(X_2,X_1)
& ~ g_false(X_2,X_1) ) ),
inference(fold_definition,[status(thm)],[true_only_g_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [X_2,X_1] :
( lhs_atom3(X_2,X_1)
<=> ~ g_both(X_2,X_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [X_1,X_2] :
( lhs_atom3(X_2,X_1)
| ( g_true(X_2,X_1)
& g_false(X_2,X_1) ) ),
inference(fold_definition,[status(thm)],[both_g_1,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [X_2,X_1] :
( lhs_atom4(X_2,X_1)
<=> g_both(X_2,X_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [X_1,X_2] :
( lhs_atom4(X_2,X_1)
| ~ ( g_true(X_2,X_1)
& g_false(X_2,X_1) ) ),
inference(fold_definition,[status(thm)],[both_g_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [X_2,X_1] :
( lhs_atom5(X_2,X_1)
<=> ~ g_false_only(X_2,X_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [X_1,X_2] :
( lhs_atom5(X_2,X_1)
| ( g_false(X_2,X_1)
& ~ g_true(X_2,X_1) ) ),
inference(fold_definition,[status(thm)],[false_only_g_1,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [X_2,X_1] :
( lhs_atom6(X_2,X_1)
<=> g_false_only(X_2,X_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [X_1,X_2] :
( lhs_atom6(X_2,X_1)
| ~ ( g_false(X_2,X_1)
& ~ g_true(X_2,X_1) ) ),
inference(fold_definition,[status(thm)],[false_only_g_0,def_lhs_atom6]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X2] :
( lhs_atom4(X1,X2)
| ~ ( g_true(X1,X2)
& g_false(X1,X2) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_1,axiom,
! [X1,X2] :
( lhs_atom6(X1,X2)
| ~ ( g_false(X1,X2)
& ~ g_true(X1,X2) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_2,axiom,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ ( g_true(X1,X2)
& ~ g_false(X1,X2) ) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_3,axiom,
! [X1,X2] :
( lhs_atom5(X1,X2)
| ( g_false(X1,X2)
& ~ g_true(X1,X2) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_4,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ( g_true(X1,X2)
& ~ g_false(X1,X2) ) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_5,axiom,
! [X1,X2] :
( lhs_atom3(X1,X2)
| ( g_true(X1,X2)
& g_false(X1,X2) ) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_6,axiom,
! [X1,X2] :
( lhs_atom4(X1,X2)
| ~ ( g_true(X1,X2)
& g_false(X1,X2) ) ),
c_0_0 ).
fof(c_0_7,plain,
! [X1,X2] :
( lhs_atom6(X1,X2)
| ~ ( g_false(X1,X2)
& ~ g_true(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_8,plain,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ ( g_true(X1,X2)
& ~ g_false(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_9,plain,
! [X1,X2] :
( lhs_atom5(X1,X2)
| ( g_false(X1,X2)
& ~ g_true(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_10,plain,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ( g_true(X1,X2)
& ~ g_false(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_11,axiom,
! [X1,X2] :
( lhs_atom3(X1,X2)
| ( g_true(X1,X2)
& g_false(X1,X2) ) ),
c_0_5 ).
fof(c_0_12,plain,
! [X3,X4] :
( lhs_atom4(X3,X4)
| ~ g_true(X3,X4)
| ~ g_false(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
fof(c_0_13,plain,
! [X3,X4] :
( lhs_atom6(X3,X4)
| ~ g_false(X3,X4)
| g_true(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
fof(c_0_14,plain,
! [X3,X4] :
( lhs_atom2(X3,X4)
| ~ g_true(X3,X4)
| g_false(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
fof(c_0_15,plain,
! [X3,X4] :
( ( g_false(X3,X4)
| lhs_atom5(X3,X4) )
& ( ~ g_true(X3,X4)
| lhs_atom5(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).
fof(c_0_16,plain,
! [X3,X4] :
( ( g_true(X3,X4)
| lhs_atom1(X3,X4) )
& ( ~ g_false(X3,X4)
| lhs_atom1(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).
fof(c_0_17,plain,
! [X3,X4] :
( ( g_true(X3,X4)
| lhs_atom3(X3,X4) )
& ( g_false(X3,X4)
| lhs_atom3(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
cnf(c_0_18,plain,
( lhs_atom4(X1,X2)
| ~ g_false(X1,X2)
| ~ g_true(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( g_true(X1,X2)
| lhs_atom6(X1,X2)
| ~ g_false(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( g_false(X1,X2)
| lhs_atom2(X1,X2)
| ~ g_true(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( lhs_atom5(X1,X2)
| ~ g_true(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( lhs_atom1(X1,X2)
| ~ g_false(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( lhs_atom5(X1,X2)
| g_false(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( lhs_atom3(X1,X2)
| g_true(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( lhs_atom3(X1,X2)
| g_false(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( lhs_atom1(X1,X2)
| g_true(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
( lhs_atom4(X1,X2)
| ~ g_false(X1,X2)
| ~ g_true(X1,X2) ),
c_0_18,
[final] ).
cnf(c_0_28,plain,
( g_true(X1,X2)
| lhs_atom6(X1,X2)
| ~ g_false(X1,X2) ),
c_0_19,
[final] ).
cnf(c_0_29,plain,
( g_false(X1,X2)
| lhs_atom2(X1,X2)
| ~ g_true(X1,X2) ),
c_0_20,
[final] ).
cnf(c_0_30,plain,
( lhs_atom5(X1,X2)
| ~ g_true(X1,X2) ),
c_0_21,
[final] ).
cnf(c_0_31,plain,
( lhs_atom1(X1,X2)
| ~ g_false(X1,X2) ),
c_0_22,
[final] ).
cnf(c_0_32,plain,
( lhs_atom5(X1,X2)
| g_false(X1,X2) ),
c_0_23,
[final] ).
cnf(c_0_33,plain,
( lhs_atom3(X1,X2)
| g_true(X1,X2) ),
c_0_24,
[final] ).
cnf(c_0_34,plain,
( lhs_atom3(X1,X2)
| g_false(X1,X2) ),
c_0_25,
[final] ).
cnf(c_0_35,plain,
( lhs_atom1(X1,X2)
| g_true(X1,X2) ),
c_0_26,
[final] ).
% End CNF derivation
cnf(c_0_27_0,axiom,
( g_both(X1,X2)
| ~ g_false(X1,X2)
| ~ g_true(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_27,def_lhs_atom4]) ).
cnf(c_0_28_0,axiom,
( g_false_only(X1,X2)
| g_true(X1,X2)
| ~ g_false(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_28,def_lhs_atom6]) ).
cnf(c_0_29_0,axiom,
( g_true_only(X1,X2)
| g_false(X1,X2)
| ~ g_true(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_29,def_lhs_atom2]) ).
cnf(c_0_30_0,axiom,
( ~ g_false_only(X1,X2)
| ~ g_true(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_30,def_lhs_atom5]) ).
cnf(c_0_31_0,axiom,
( ~ g_true_only(X1,X2)
| ~ g_false(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_31,def_lhs_atom1]) ).
cnf(c_0_32_0,axiom,
( ~ g_false_only(X1,X2)
| g_false(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_32,def_lhs_atom5]) ).
cnf(c_0_33_0,axiom,
( ~ g_both(X1,X2)
| g_true(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_33,def_lhs_atom3]) ).
cnf(c_0_34_0,axiom,
( ~ g_both(X1,X2)
| g_false(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_34,def_lhs_atom3]) ).
cnf(c_0_35_0,axiom,
( ~ g_true_only(X1,X2)
| g_true(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_35,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] :
( g_true_only(X1,X2)
| g_both(X1,X2)
| g_false_only(X1,X2) ),
file('<stdin>',exhaustion_g) ).
fof(c_0_1_002,axiom,
! [X1,X2] :
( g_true_only(X1,X2)
| g_both(X1,X2)
| g_false_only(X1,X2) ),
c_0_0 ).
fof(c_0_2_003,plain,
! [X3,X4] :
( g_true_only(X3,X4)
| g_both(X3,X4)
| g_false_only(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_1]) ).
cnf(c_0_3_004,plain,
( g_false_only(X1,X2)
| g_both(X1,X2)
| g_true_only(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,plain,
( g_false_only(X1,X2)
| g_both(X1,X2)
| g_true_only(X1,X2) ),
c_0_3,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_4_0,axiom,
( g_false_only(X1,X2)
| g_both(X1,X2)
| g_true_only(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4]) ).
cnf(c_0_4_1,axiom,
( g_both(X1,X2)
| g_false_only(X1,X2)
| g_true_only(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4]) ).
cnf(c_0_4_2,axiom,
( g_true_only(X1,X2)
| g_both(X1,X2)
| g_false_only(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_006,conjecture,
( ? [X1] :
( g_false_only(a,X1)
& ? [X2] : g_false_only(X1,X2) )
| ? [X1] :
! [X2] : g_true_only(X1,X2)
| ( ? [X1] :
( ( g_both(a,X1)
| ( ? [X2] : g_both(X1,X2)
& ~ ? [X2] : g_false_only(X1,X2) ) )
& ~ g_true_only(a,X1)
& ~ ! [X2] : g_true_only(X1,X2) )
& ~ ? [X1] :
( g_false_only(a,X1)
& ? [X2] : g_false_only(X1,X2) )
& ? [X1] :
( ? [X2] : g_both(X1,X2)
& ~ ? [X2] : g_false_only(X1,X2) )
& ~ ? [X1] :
! [X2] : g_true_only(X1,X2) ) ),
file('<stdin>',nc6) ).
fof(c_0_1_007,negated_conjecture,
~ ( ? [X1] :
( g_false_only(a,X1)
& ? [X2] : g_false_only(X1,X2) )
| ? [X1] :
! [X2] : g_true_only(X1,X2)
| ( ? [X1] :
( ( g_both(a,X1)
| ( ? [X2] : g_both(X1,X2)
& ~ ? [X2] : g_false_only(X1,X2) ) )
& ~ g_true_only(a,X1)
& ~ ! [X2] : g_true_only(X1,X2) )
& ~ ? [X1] :
( g_false_only(a,X1)
& ? [X2] : g_false_only(X1,X2) )
& ? [X1] :
( ? [X2] : g_both(X1,X2)
& ~ ? [X2] : g_false_only(X1,X2) )
& ~ ? [X1] :
! [X2] : g_true_only(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_008,negated_conjecture,
! [X3,X4,X5,X7,X8,X10,X13,X14,X17] :
( ( ~ g_false_only(a,X3)
| ~ g_false_only(X3,X4) )
& ~ g_true_only(X5,esk1_1(X5))
& ( g_false_only(a,esk3_0)
| ~ g_both(X13,X14)
| g_false_only(X13,esk5_1(X13))
| g_true_only(esk6_0,X17)
| ~ g_both(a,X7)
| g_true_only(a,X7)
| g_true_only(X7,X10) )
& ( g_false_only(esk3_0,esk4_0)
| ~ g_both(X13,X14)
| g_false_only(X13,esk5_1(X13))
| g_true_only(esk6_0,X17)
| ~ g_both(a,X7)
| g_true_only(a,X7)
| g_true_only(X7,X10) )
& ( g_false_only(a,esk3_0)
| ~ g_both(X13,X14)
| g_false_only(X13,esk5_1(X13))
| g_true_only(esk6_0,X17)
| ~ g_both(X7,X8)
| g_false_only(X7,esk2_1(X7))
| g_true_only(a,X7)
| g_true_only(X7,X10) )
& ( g_false_only(esk3_0,esk4_0)
| ~ g_both(X13,X14)
| g_false_only(X13,esk5_1(X13))
| g_true_only(esk6_0,X17)
| ~ g_both(X7,X8)
| g_false_only(X7,esk2_1(X7))
| g_true_only(a,X7)
| g_true_only(X7,X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3_009,negated_conjecture,
( g_true_only(X1,X2)
| g_true_only(a,X1)
| g_false_only(X1,esk2_1(X1))
| g_true_only(esk6_0,X4)
| g_false_only(X5,esk5_1(X5))
| g_false_only(a,esk3_0)
| ~ g_both(X1,X3)
| ~ g_both(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_010,negated_conjecture,
( g_true_only(X1,X2)
| g_true_only(a,X1)
| g_false_only(X1,esk2_1(X1))
| g_true_only(esk6_0,X4)
| g_false_only(X5,esk5_1(X5))
| g_false_only(esk3_0,esk4_0)
| ~ g_both(X1,X3)
| ~ g_both(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_011,negated_conjecture,
( g_true_only(X1,X2)
| g_true_only(a,X1)
| g_true_only(esk6_0,X3)
| g_false_only(X4,esk5_1(X4))
| g_false_only(a,esk3_0)
| ~ g_both(a,X1)
| ~ g_both(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_012,negated_conjecture,
( g_true_only(X1,X2)
| g_true_only(a,X1)
| g_true_only(esk6_0,X3)
| g_false_only(X4,esk5_1(X4))
| g_false_only(esk3_0,esk4_0)
| ~ g_both(a,X1)
| ~ g_both(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_013,negated_conjecture,
( ~ g_false_only(X1,X2)
| ~ g_false_only(a,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_014,negated_conjecture,
~ g_true_only(X1,esk1_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_015,negated_conjecture,
( g_true_only(X1,X2)
| g_true_only(a,X1)
| g_false_only(X1,esk2_1(X1))
| g_true_only(esk6_0,X4)
| g_false_only(X5,esk5_1(X5))
| g_false_only(a,esk3_0)
| ~ g_both(X1,X3)
| ~ g_both(X5,X6) ),
c_0_3,
[final] ).
cnf(c_0_10_016,negated_conjecture,
( g_true_only(X1,X2)
| g_true_only(a,X1)
| g_false_only(X1,esk2_1(X1))
| g_true_only(esk6_0,X4)
| g_false_only(X5,esk5_1(X5))
| g_false_only(esk3_0,esk4_0)
| ~ g_both(X1,X3)
| ~ g_both(X5,X6) ),
c_0_4,
[final] ).
cnf(c_0_11_017,negated_conjecture,
( g_true_only(X1,X2)
| g_true_only(a,X1)
| g_true_only(esk6_0,X3)
| g_false_only(X4,esk5_1(X4))
| g_false_only(a,esk3_0)
| ~ g_both(a,X1)
| ~ g_both(X4,X5) ),
c_0_5,
[final] ).
cnf(c_0_12_018,negated_conjecture,
( g_true_only(X1,X2)
| g_true_only(a,X1)
| g_true_only(esk6_0,X3)
| g_false_only(X4,esk5_1(X4))
| g_false_only(esk3_0,esk4_0)
| ~ g_both(a,X1)
| ~ g_both(X4,X5) ),
c_0_6,
[final] ).
cnf(c_0_13_019,negated_conjecture,
( ~ g_false_only(X1,X2)
| ~ g_false_only(a,X1) ),
c_0_7,
[final] ).
cnf(c_0_14_020,negated_conjecture,
~ g_true_only(X1,esk1_1(X1)),
c_0_8,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_16,negated_conjecture,
( ~ g_false_only(a,X0)
| ~ g_false_only(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_05aa0a.p',c_0_13) ).
cnf(c_98,negated_conjecture,
( ~ g_false_only(a,X0)
| ~ g_false_only(X0,X1) ),
inference(copy,[status(esa)],[c_16]) ).
cnf(c_138,negated_conjecture,
( ~ g_false_only(a,X0)
| ~ g_false_only(X0,X1) ),
inference(copy,[status(esa)],[c_98]) ).
cnf(c_157,negated_conjecture,
( ~ g_false_only(a,X0)
| ~ g_false_only(X0,X1) ),
inference(copy,[status(esa)],[c_138]) ).
cnf(c_442,negated_conjecture,
( ~ g_false_only(a,X0)
| ~ g_false_only(X0,X1) ),
inference(copy,[status(esa)],[c_157]) ).
cnf(c_498,negated_conjecture,
( ~ g_false_only(a,X0)
| ~ g_false_only(X0,X1) ),
inference(copy,[status(esa)],[c_442]) ).
cnf(c_0,plain,
( g_true_only(X0,X1)
| g_both(X0,X1)
| g_false_only(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_05aa0a.p',c_0_4_0) ).
cnf(c_474,plain,
( g_true_only(X0,X1)
| g_both(X0,X1)
| g_false_only(X0,X1) ),
inference(copy,[status(esa)],[c_0]) ).
cnf(c_475,plain,
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(rewriting,[status(thm)],[c_474]) ).
cnf(c_585,plain,
( ~ g_false_only(a,X0)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(resolution,[status(thm)],[c_498,c_475]) ).
cnf(c_586,plain,
( ~ g_false_only(a,X0)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(rewriting,[status(thm)],[c_585]) ).
cnf(c_17,negated_conjecture,
~ g_true_only(X0,sk3_esk1_1(X0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_05aa0a.p',c_0_14) ).
cnf(c_100,negated_conjecture,
~ g_true_only(X0,sk3_esk1_1(X0)),
inference(copy,[status(esa)],[c_17]) ).
cnf(c_139,negated_conjecture,
~ g_true_only(X0,sk3_esk1_1(X0)),
inference(copy,[status(esa)],[c_100]) ).
cnf(c_156,negated_conjecture,
~ g_true_only(X0,sk3_esk1_1(X0)),
inference(copy,[status(esa)],[c_139]) ).
cnf(c_444,negated_conjecture,
~ g_true_only(X0,sk3_esk1_1(X0)),
inference(copy,[status(esa)],[c_156]) ).
cnf(c_502,negated_conjecture,
~ g_true_only(X0,sk3_esk1_1(X0)),
inference(copy,[status(esa)],[c_444]) ).
cnf(c_746,plain,
( ~ g_false_only(a,X0)
| g_both(X0,sk3_esk1_1(X0)) ),
inference(resolution,[status(thm)],[c_586,c_502]) ).
cnf(c_747,plain,
( ~ g_false_only(a,X0)
| g_both(X0,sk3_esk1_1(X0)) ),
inference(rewriting,[status(thm)],[c_746]) ).
cnf(c_15,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| g_false_only(X0,sk3_esk5_1(X0))
| ~ g_both(a,X1)
| ~ g_both(X0,X2)
| g_true_only(a,X1)
| g_true_only(sk3_esk6_0,X3)
| g_true_only(X1,X4) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_05aa0a.p',c_0_12) ).
cnf(c_32,negated_conjecture,
( g_false_only(X0,sk3_esk5_1(X0))
| ~ g_both(X0,X1)
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_15]) ).
cnf(c_58,negated_conjecture,
( g_false_only(X0,sk3_esk5_1(X0))
| ~ g_both(X0,X1)
| ~ sP2_iProver_split ),
inference(copy,[status(esa)],[c_32]) ).
cnf(c_66,negated_conjecture,
( g_false_only(X0,sk3_esk5_1(X0))
| ~ g_both(X0,X1)
| ~ sP2_iProver_split ),
inference(copy,[status(esa)],[c_58]) ).
cnf(c_142,negated_conjecture,
( g_false_only(X0,sk3_esk5_1(X0))
| ~ g_both(X0,X1)
| ~ sP2_iProver_split ),
inference(copy,[status(esa)],[c_66]) ).
cnf(c_153,negated_conjecture,
( g_false_only(X0,sk3_esk5_1(X0))
| ~ g_both(X0,X1)
| ~ sP2_iProver_split ),
inference(copy,[status(esa)],[c_142]) ).
cnf(c_443,negated_conjecture,
( g_false_only(X0,sk3_esk5_1(X0))
| ~ g_both(X0,X1)
| ~ sP2_iProver_split ),
inference(copy,[status(esa)],[c_153]) ).
cnf(c_500,negated_conjecture,
( g_false_only(X0,sk3_esk5_1(X0))
| ~ g_both(X0,X1)
| ~ sP2_iProver_split ),
inference(copy,[status(esa)],[c_443]) ).
cnf(c_765,plain,
( ~ g_false_only(a,X0)
| g_false_only(X0,sk3_esk5_1(X0))
| ~ sP2_iProver_split ),
inference(resolution,[status(thm)],[c_747,c_500]) ).
cnf(c_770,plain,
( ~ g_false_only(a,X0)
| g_false_only(X0,sk3_esk5_1(X0))
| ~ sP2_iProver_split ),
inference(rewriting,[status(thm)],[c_765]) ).
cnf(c_777,plain,
( ~ g_false_only(a,X0)
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_770,c_498]) ).
cnf(c_778,plain,
( ~ g_false_only(a,X0)
| ~ sP2_iProver_split ),
inference(rewriting,[status(thm)],[c_777]) ).
cnf(c_782,plain,
( g_both(a,X0)
| g_true_only(a,X0)
| ~ sP2_iProver_split ),
inference(resolution,[status(thm)],[c_778,c_475]) ).
cnf(c_783,plain,
( g_both(a,X0)
| g_true_only(a,X0)
| ~ sP2_iProver_split ),
inference(rewriting,[status(thm)],[c_782]) ).
cnf(c_838,plain,
( g_both(a,sk3_esk1_1(a))
| ~ sP2_iProver_split ),
inference(resolution,[status(thm)],[c_783,c_502]) ).
cnf(c_839,plain,
( g_both(a,sk3_esk1_1(a))
| ~ sP2_iProver_split ),
inference(rewriting,[status(thm)],[c_838]) ).
cnf(c_886,plain,
( g_false_only(a,sk3_esk5_1(a))
| ~ sP2_iProver_split ),
inference(resolution,[status(thm)],[c_839,c_500]) ).
cnf(c_891,plain,
( g_false_only(a,sk3_esk5_1(a))
| ~ sP2_iProver_split ),
inference(rewriting,[status(thm)],[c_886]) ).
cnf(c_897,plain,
~ sP2_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_891,c_778]) ).
cnf(c_898,plain,
~ sP2_iProver_split,
inference(rewriting,[status(thm)],[c_897]) ).
cnf(c_49,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split,sP1_iProver_split,sP0_iProver_split,g_false_only(sk3_esk3_0,sk3_esk4_0)])],[c_15]) ).
cnf(c_96,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(copy,[status(esa)],[c_49]) ).
cnf(c_143,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(copy,[status(esa)],[c_96]) ).
cnf(c_152,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(copy,[status(esa)],[c_143]) ).
cnf(c_445,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(copy,[status(esa)],[c_152]) ).
cnf(c_504,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(copy,[status(esa)],[c_445]) ).
cnf(c_593,plain,
( ~ g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(resolution,[status(thm)],[c_498,c_504]) ).
cnf(c_594,plain,
( ~ g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(rewriting,[status(thm)],[c_593]) ).
cnf(c_30,negated_conjecture,
( g_true_only(sk3_esk6_0,X0)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_15]) ).
cnf(c_59,negated_conjecture,
( g_true_only(sk3_esk6_0,X0)
| ~ sP0_iProver_split ),
inference(copy,[status(esa)],[c_30]) ).
cnf(c_68,negated_conjecture,
( g_true_only(sk3_esk6_0,X0)
| ~ sP0_iProver_split ),
inference(copy,[status(esa)],[c_59]) ).
cnf(c_140,negated_conjecture,
( g_true_only(sk3_esk6_0,X0)
| ~ sP0_iProver_split ),
inference(copy,[status(esa)],[c_68]) ).
cnf(c_155,negated_conjecture,
( g_true_only(sk3_esk6_0,X0)
| ~ sP0_iProver_split ),
inference(copy,[status(esa)],[c_140]) ).
cnf(c_450,negated_conjecture,
( g_true_only(sk3_esk6_0,X0)
| ~ sP0_iProver_split ),
inference(copy,[status(esa)],[c_155]) ).
cnf(c_514,negated_conjecture,
( g_true_only(sk3_esk6_0,X0)
| ~ sP0_iProver_split ),
inference(copy,[status(esa)],[c_450]) ).
cnf(c_530,negated_conjecture,
~ sP0_iProver_split,
inference(resolution,[status(thm)],[c_514,c_502]) ).
cnf(c_531,plain,
~ sP0_iProver_split,
inference(rewriting,[status(thm)],[c_530]) ).
cnf(c_14,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| g_false_only(X0,sk3_esk5_1(X0))
| ~ g_both(a,X1)
| ~ g_both(X0,X2)
| g_true_only(a,X1)
| g_true_only(sk3_esk6_0,X3)
| g_true_only(X1,X4) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_05aa0a.p',c_0_11) ).
cnf(c_53,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split,sP1_iProver_split,sP0_iProver_split,g_false_only(a,sk3_esk3_0)])],[c_14]) ).
cnf(c_88,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(copy,[status(esa)],[c_53]) ).
cnf(c_144,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(copy,[status(esa)],[c_88]) ).
cnf(c_151,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(copy,[status(esa)],[c_144]) ).
cnf(c_446,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(copy,[status(esa)],[c_151]) ).
cnf(c_506,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(copy,[status(esa)],[c_446]) ).
cnf(c_647,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP1_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_531,c_506]) ).
cnf(c_652,plain,
( g_false_only(a,sk3_esk3_0)
| sP1_iProver_split
| sP2_iProver_split ),
inference(rewriting,[status(thm)],[c_647]) ).
cnf(c_718,plain,
( sP1_iProver_split
| sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_594,c_531,c_652]) ).
cnf(c_719,plain,
( sP1_iProver_split
| sP2_iProver_split ),
inference(rewriting,[status(thm)],[c_718]) ).
cnf(c_901,plain,
sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_898,c_719]) ).
cnf(c_902,plain,
sP1_iProver_split,
inference(rewriting,[status(thm)],[c_901]) ).
cnf(c_31,negated_conjecture,
( ~ g_both(a,X0)
| g_true_only(a,X0)
| g_true_only(X0,X1)
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_15]) ).
cnf(c_51,negated_conjecture,
( ~ g_both(a,X0)
| g_true_only(a,X0)
| g_true_only(X0,X1)
| ~ sP1_iProver_split ),
inference(copy,[status(esa)],[c_31]) ).
cnf(c_84,negated_conjecture,
( ~ g_both(a,X0)
| g_true_only(a,X0)
| g_true_only(X0,X1)
| ~ sP1_iProver_split ),
inference(copy,[status(esa)],[c_51]) ).
cnf(c_141,negated_conjecture,
( ~ g_both(a,X0)
| g_true_only(a,X0)
| g_true_only(X0,X1)
| ~ sP1_iProver_split ),
inference(copy,[status(esa)],[c_84]) ).
cnf(c_154,negated_conjecture,
( ~ g_both(a,X0)
| g_true_only(a,X0)
| g_true_only(X0,X1)
| ~ sP1_iProver_split ),
inference(copy,[status(esa)],[c_141]) ).
cnf(c_451,negated_conjecture,
( ~ g_both(a,X0)
| g_true_only(a,X0)
| g_true_only(X0,X1)
| ~ sP1_iProver_split ),
inference(copy,[status(esa)],[c_154]) ).
cnf(c_516,negated_conjecture,
( ~ g_both(a,X0)
| g_true_only(a,X0)
| g_true_only(X0,X1)
| ~ sP1_iProver_split ),
inference(copy,[status(esa)],[c_451]) ).
cnf(c_618,negated_conjecture,
( ~ g_both(a,X0)
| g_true_only(a,X0)
| ~ sP1_iProver_split ),
inference(resolution,[status(thm)],[c_516,c_502]) ).
cnf(c_619,plain,
( ~ g_both(a,X0)
| g_true_only(a,X0)
| ~ sP1_iProver_split ),
inference(rewriting,[status(thm)],[c_618]) ).
cnf(c_7,plain,
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_05aa0a.p',c_0_31_0) ).
cnf(c_488,plain,
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(copy,[status(esa)],[c_7]) ).
cnf(c_489,plain,
( ~ g_true_only(X0,X1)
| ~ g_false(X0,X1) ),
inference(rewriting,[status(thm)],[c_488]) ).
cnf(c_638,plain,
( ~ g_both(a,X0)
| ~ g_false(a,X0)
| ~ sP1_iProver_split ),
inference(resolution,[status(thm)],[c_619,c_489]) ).
cnf(c_641,plain,
( ~ g_both(a,X0)
| ~ g_false(a,X0)
| ~ sP1_iProver_split ),
inference(rewriting,[status(thm)],[c_638]) ).
cnf(c_4,plain,
( g_false(X0,X1)
| ~ g_both(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_05aa0a.p',c_0_34_0) ).
cnf(c_482,plain,
( g_false(X0,X1)
| ~ g_both(X0,X1) ),
inference(copy,[status(esa)],[c_4]) ).
cnf(c_483,plain,
( ~ g_both(X0,X1)
| g_false(X0,X1) ),
inference(rewriting,[status(thm)],[c_482]) ).
cnf(c_873,plain,
( ~ g_both(a,X0)
| ~ sP1_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_641,c_483]) ).
cnf(c_874,plain,
( ~ g_both(a,X0)
| ~ sP1_iProver_split ),
inference(rewriting,[status(thm)],[c_873]) ).
cnf(c_1041,plain,
~ g_both(a,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_902,c_874]) ).
cnf(c_1042,negated_conjecture,
~ g_both(a,X0),
inference(rewriting,[status(thm)],[c_1041]) ).
cnf(c_13,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| g_false_only(X0,sk3_esk2_1(X0))
| g_false_only(X1,sk3_esk5_1(X1))
| ~ g_both(X1,X2)
| ~ g_both(X0,X3)
| g_true_only(a,X0)
| g_true_only(sk3_esk6_0,X4)
| g_true_only(X0,X5) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_05aa0a.p',c_0_10) ).
cnf(c_40,negated_conjecture,
( g_false_only(X0,sk3_esk2_1(X0))
| ~ g_both(X0,X1)
| g_true_only(a,X0)
| g_true_only(X0,X2)
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_13]) ).
cnf(c_60,negated_conjecture,
( g_false_only(X0,sk3_esk2_1(X0))
| ~ g_both(X0,X1)
| g_true_only(a,X0)
| g_true_only(X0,X2)
| ~ sP3_iProver_split ),
inference(copy,[status(esa)],[c_40]) ).
cnf(c_70,negated_conjecture,
( g_false_only(X0,sk3_esk2_1(X0))
| ~ g_both(X0,X1)
| g_true_only(a,X0)
| g_true_only(X0,X2)
| ~ sP3_iProver_split ),
inference(copy,[status(esa)],[c_60]) ).
cnf(c_145,negated_conjecture,
( g_false_only(X0,sk3_esk2_1(X0))
| ~ g_both(X0,X1)
| g_true_only(a,X0)
| g_true_only(X0,X2)
| ~ sP3_iProver_split ),
inference(copy,[status(esa)],[c_70]) ).
cnf(c_150,negated_conjecture,
( g_false_only(X0,sk3_esk2_1(X0))
| ~ g_both(X0,X1)
| g_true_only(a,X0)
| g_true_only(X0,X2)
| ~ sP3_iProver_split ),
inference(copy,[status(esa)],[c_145]) ).
cnf(c_447,negated_conjecture,
( g_false_only(X0,sk3_esk2_1(X0))
| ~ g_both(X0,X1)
| g_true_only(a,X0)
| g_true_only(X0,X2)
| ~ sP3_iProver_split ),
inference(copy,[status(esa)],[c_150]) ).
cnf(c_508,negated_conjecture,
( g_false_only(X0,sk3_esk2_1(X0))
| ~ g_both(X0,X1)
| g_true_only(a,X0)
| g_true_only(X0,X2)
| ~ sP3_iProver_split ),
inference(copy,[status(esa)],[c_447]) ).
cnf(c_764,plain,
( ~ g_false_only(a,X0)
| g_false_only(X0,sk3_esk2_1(X0))
| g_true_only(a,X0)
| g_true_only(X0,X1)
| ~ sP3_iProver_split ),
inference(resolution,[status(thm)],[c_747,c_508]) ).
cnf(c_771,plain,
( ~ g_false_only(a,X0)
| g_false_only(X0,sk3_esk2_1(X0))
| g_true_only(a,X0)
| g_true_only(X0,X1)
| ~ sP3_iProver_split ),
inference(rewriting,[status(thm)],[c_764]) ).
cnf(c_800,plain,
( ~ g_false_only(a,X0)
| g_true_only(a,X0)
| g_true_only(X0,X1)
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_771,c_498]) ).
cnf(c_801,plain,
( ~ g_false_only(a,X0)
| g_true_only(a,X0)
| g_true_only(X0,X1)
| ~ sP3_iProver_split ),
inference(rewriting,[status(thm)],[c_800]) ).
cnf(c_812,plain,
( ~ g_false_only(a,X0)
| g_true_only(a,X0)
| ~ sP3_iProver_split ),
inference(resolution,[status(thm)],[c_801,c_502]) ).
cnf(c_813,plain,
( ~ g_false_only(a,X0)
| g_true_only(a,X0)
| ~ sP3_iProver_split ),
inference(rewriting,[status(thm)],[c_812]) ).
cnf(c_868,plain,
( ~ g_false_only(a,sk3_esk1_1(a))
| ~ sP3_iProver_split ),
inference(resolution,[status(thm)],[c_813,c_502]) ).
cnf(c_869,plain,
( ~ g_false_only(a,sk3_esk1_1(a))
| ~ sP3_iProver_split ),
inference(rewriting,[status(thm)],[c_868]) ).
cnf(c_909,plain,
( g_both(a,sk3_esk1_1(a))
| g_true_only(a,sk3_esk1_1(a))
| ~ sP3_iProver_split ),
inference(resolution,[status(thm)],[c_869,c_475]) ).
cnf(c_910,plain,
( g_both(a,sk3_esk1_1(a))
| g_true_only(a,sk3_esk1_1(a))
| ~ sP3_iProver_split ),
inference(rewriting,[status(thm)],[c_909]) ).
cnf(c_958,plain,
( g_both(a,sk3_esk1_1(a))
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_910,c_502]) ).
cnf(c_959,plain,
( g_both(a,sk3_esk1_1(a))
| ~ sP3_iProver_split ),
inference(rewriting,[status(thm)],[c_958]) ).
cnf(c_1048,plain,
~ sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_1042,c_959]) ).
cnf(c_1049,plain,
~ sP3_iProver_split,
inference(rewriting,[status(thm)],[c_1048]) ).
cnf(c_57,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split,sP0_iProver_split,sP2_iProver_split,g_false_only(sk3_esk3_0,sk3_esk4_0)])],[c_13]) ).
cnf(c_80,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(copy,[status(esa)],[c_57]) ).
cnf(c_146,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(copy,[status(esa)],[c_80]) ).
cnf(c_149,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(copy,[status(esa)],[c_146]) ).
cnf(c_448,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(copy,[status(esa)],[c_149]) ).
cnf(c_510,negated_conjecture,
( g_false_only(sk3_esk3_0,sk3_esk4_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(copy,[status(esa)],[c_448]) ).
cnf(c_592,plain,
( ~ g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(resolution,[status(thm)],[c_498,c_510]) ).
cnf(c_595,plain,
( ~ g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(rewriting,[status(thm)],[c_592]) ).
cnf(c_12,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| g_false_only(X0,sk3_esk2_1(X0))
| g_false_only(X1,sk3_esk5_1(X1))
| ~ g_both(X1,X2)
| ~ g_both(X0,X3)
| g_true_only(a,X0)
| g_true_only(sk3_esk6_0,X4)
| g_true_only(X0,X5) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_05aa0a.p',c_0_9) ).
cnf(c_61,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split,sP0_iProver_split,sP2_iProver_split,g_false_only(a,sk3_esk3_0)])],[c_12]) ).
cnf(c_72,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(copy,[status(esa)],[c_61]) ).
cnf(c_147,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(copy,[status(esa)],[c_72]) ).
cnf(c_148,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(copy,[status(esa)],[c_147]) ).
cnf(c_449,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(copy,[status(esa)],[c_148]) ).
cnf(c_512,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(copy,[status(esa)],[c_449]) ).
cnf(c_649,negated_conjecture,
( g_false_only(a,sk3_esk3_0)
| sP2_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_531,c_512]) ).
cnf(c_650,plain,
( g_false_only(a,sk3_esk3_0)
| sP2_iProver_split
| sP3_iProver_split ),
inference(rewriting,[status(thm)],[c_649]) ).
cnf(c_726,plain,
( sP2_iProver_split
| sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_595,c_531,c_650]) ).
cnf(c_727,plain,
( sP2_iProver_split
| sP3_iProver_split ),
inference(rewriting,[status(thm)],[c_726]) ).
cnf(c_900,plain,
sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_898,c_727]) ).
cnf(c_903,plain,
sP3_iProver_split,
inference(rewriting,[status(thm)],[c_900]) ).
cnf(c_1111,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1049,c_903]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 19:57:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.19/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.40 % FOF problem with conjecture
% 0.19/0.40 % 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_6558e8.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_05aa0a.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_411389 | 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_6558e8.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: 24 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_6558e8.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: 18
% 0.19/0.44 % num_of_input_neg_conjectures: 6
% 0.19/0.44 % num_of_splits: 24
% 0.19/0.44 % num_of_split_atoms: 4
% 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: 36
% 0.19/0.44 % prep_upred: 0
% 0.19/0.44 % prep_unflattend: 0
% 0.19/0.44 % pred_elim_cands: 4
% 0.19/0.44 % pred_elim: 0
% 0.19/0.44 % pred_elim_cl: 0
% 0.19/0.44 % pred_elim_cycles: 4
% 0.19/0.44 % forced_gc_time: 0
% 0.19/0.44 % gc_basic_clause_elim: 0
% 0.19/0.44 % parsing_time: 0.
% 0.19/0.44 % sem_filter_time: 0.
% 0.19/0.44 % pred_elim_time: 0.003
% 0.19/0.44 % out_proof_time: 0.005
% 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: 0.039
% 0.19/0.44 % num_of_symbols: 41
% 0.19/0.44 % num_of_terms: 135
% 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: 209
% 0.19/0.44 % prop_num_of_clauses: 64
% 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: 22
% 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: 22
% 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: 59
% 0.19/0.44 % res_num_in_passive: 26
% 0.19/0.44 % res_num_in_active: 27
% 0.19/0.44 % res_num_of_loops: 96
% 0.19/0.44 % res_forward_subset_subsumed: 21
% 0.19/0.44 % res_backward_subset_subsumed: 11
% 0.19/0.44 % res_forward_subsumed: 38
% 0.19/0.44 % res_backward_subsumed: 14
% 0.19/0.44 % res_forward_subsumption_resolution: 17
% 0.19/0.44 % res_backward_subsumption_resolution: 19
% 0.19/0.44 % res_clause_to_clause_subsumption: 109
% 0.19/0.44 % res_orphan_elimination: 0
% 0.19/0.44 % res_tautology_del: 2
% 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 Theorem
% 0.19/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------