%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:21:38 PM UTC 2026
% Result : Theorem 0.87s 1.18s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named inputERROR: Could not build tree for root to_be_clausified_0ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(transitivity,axiom,
! [X,Y,Z] :
( ( r1(X,Y)
& r1(Y,Z) )
=> r1(X,Z) ),
input ).
fof(transitivity_0,plain,
! [X,Y,Z] :
( r1(X,Z)
| ~ ( r1(X,Y)
& r1(Y,Z) ) ),
inference(orientation,[status(thm)],[transitivity]) ).
fof(reflexivity,axiom,
! [X] : r1(X,X),
input ).
fof(reflexivity_0,plain,
! [X] :
( r1(X,X)
| $false ),
inference(orientation,[status(thm)],[reflexivity]) ).
fof(def_lhs_atom1,axiom,
! [X] :
( lhs_atom1(X)
<=> r1(X,X) ),
inference(definition,[],[]) ).
fof(to_be_clausified_0,plain,
! [X] :
( lhs_atom1(X)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [Z,X] :
( lhs_atom2(Z,X)
<=> r1(X,Z) ),
inference(definition,[],[]) ).
fof(to_be_clausified_1,plain,
! [X,Y,Z] :
( lhs_atom2(Z,X)
| ~ ( r1(X,Y)
& r1(Y,Z) ) ),
inference(fold_definition,[status(thm)],[transitivity_0,def_lhs_atom2]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X2,X3,X1] :
( lhs_atom2(X2,X1)
| ~ ( r1(X1,X3)
& r1(X3,X2) ) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_1,axiom,
! [X1] :
( lhs_atom1(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_2,axiom,
! [X2,X3,X1] :
( lhs_atom2(X2,X1)
| ~ ( r1(X1,X3)
& r1(X3,X2) ) ),
c_0_0 ).
fof(c_0_3,plain,
! [X1] : lhs_atom1(X1),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_4,plain,
! [X4,X5,X6] :
( lhs_atom2(X4,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).
fof(c_0_5,plain,
! [X2] : lhs_atom1(X2),
inference(variable_rename,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( lhs_atom2(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
lhs_atom1(X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( lhs_atom2(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
c_0_6,
[final] ).
cnf(c_0_9,plain,
lhs_atom1(X1),
c_0_7,
[final] ).
% End CNF derivation
cnf(c_0_8_0,axiom,
( r1(X3,X2)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_8,def_lhs_atom2]) ).
cnf(c_0_9_0,axiom,
r1(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_9,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
file('<stdin>',main) ).
fof(c_0_1_002,plain,
! [X2] :
( epred1_1(X2)
<=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
introduced(definition) ).
fof(c_0_2_003,plain,
! [X2] :
( epred1_1(X2)
=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3_004,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) )
& ~ p101(X1)
& p100(X1) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]),c_0_1,theory(equality,[symmetry])]) ).
fof(c_0_4_005,plain,
! [X3,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25] :
( ( r1(X3,esk2_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p6(esk2_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p106(esk2_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p105(esk2_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk3_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p6(esk3_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p106(esk3_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p105(esk3_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk4_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p5(esk4_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p105(esk4_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p104(esk4_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk5_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p5(esk5_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p105(esk5_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p104(esk5_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk6_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p4(esk6_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p104(esk6_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p103(esk6_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk7_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p4(esk7_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p104(esk7_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p103(esk7_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk8_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p3(esk8_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p103(esk8_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p102(esk8_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk9_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p3(esk9_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p103(esk9_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p102(esk9_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk10_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p2(esk10_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p102(esk10_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p101(esk10_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk11_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p2(esk11_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p102(esk11_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p101(esk11_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X14)
| ~ p6(X14)
| ~ p105(X14)
| p6(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X15)
| p6(X15)
| ~ p105(X15)
| ~ p6(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X16)
| ~ p5(X16)
| ~ p104(X16)
| p5(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X17)
| p5(X17)
| ~ p104(X17)
| ~ p5(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X18)
| ~ p4(X18)
| ~ p103(X18)
| p4(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X19)
| p4(X19)
| ~ p103(X19)
| ~ p4(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X20)
| ~ p3(X20)
| ~ p102(X20)
| p3(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X21)
| p3(X21)
| ~ p102(X21)
| ~ p3(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X22)
| ~ p2(X22)
| ~ p101(X22)
| p2(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X23)
| p2(X23)
| ~ p101(X23)
| ~ p2(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X24)
| ~ p1(X24)
| ~ p100(X24)
| p1(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X25)
| p1(X25)
| ~ p100(X25)
| ~ p1(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p105(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p104(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p103(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p102(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p101(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p100(X3)
| ~ p101(X3)
| ~ epred1_1(X3) ) ),
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_2])])])])]) ).
fof(c_0_5_006,negated_conjecture,
! [X4,X5] :
( ( ~ r1(esk1_0,X4)
| p3(X4) )
& ( ~ r1(esk1_0,X5)
| epred1_1(X5) )
& ~ p101(esk1_0)
& p100(esk1_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6_007,plain,
( p6(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p105(X2)
| ~ p6(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7_008,plain,
( p6(X2)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p6(X1)
| ~ p105(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8_009,plain,
( p5(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p104(X2)
| ~ p5(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9_010,plain,
( p5(X2)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p5(X1)
| ~ p104(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( p4(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p103(X2)
| ~ p4(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( p4(X2)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p4(X1)
| ~ p103(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( p3(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p102(X2)
| ~ p3(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,plain,
( p3(X2)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p3(X1)
| ~ p102(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,plain,
( p2(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( p2(X2)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p2(X1)
| ~ p101(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( p1(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p100(X2)
| ~ p1(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
( p1(X2)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p1(X1)
| ~ p100(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,plain,
( p105(X1)
| r1(X1,esk2_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,plain,
( p105(X1)
| r1(X1,esk3_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,plain,
( p104(X1)
| r1(X1,esk4_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,plain,
( p104(X1)
| r1(X1,esk5_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,plain,
( p103(X1)
| r1(X1,esk6_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,plain,
( p103(X1)
| r1(X1,esk7_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,plain,
( p102(X1)
| r1(X1,esk8_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,plain,
( p102(X1)
| r1(X1,esk9_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,plain,
( p101(X1)
| r1(X1,esk10_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,plain,
( p101(X1)
| r1(X1,esk11_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_28,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p6(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_29,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p106(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p106(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p5(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_32,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p105(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_33,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p105(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_34,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p4(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_35,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_36,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_37,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p3(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_38,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_39,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_40,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p2(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_41,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_42,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_43,plain,
( p105(X1)
| p105(esk2_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_44,plain,
( p105(X1)
| p6(esk3_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_45,plain,
( p105(X1)
| p105(esk3_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_46,plain,
( p104(X1)
| p104(esk4_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_47,plain,
( p104(X1)
| p5(esk5_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_48,plain,
( p104(X1)
| p104(esk5_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_49,plain,
( p103(X1)
| p103(esk6_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_50,plain,
( p103(X1)
| p4(esk7_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_51,plain,
( p103(X1)
| p103(esk7_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_52,plain,
( p102(X1)
| p102(esk8_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_53,plain,
( p102(X1)
| p3(esk9_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_54,plain,
( p102(X1)
| p102(esk9_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_55,plain,
( p101(X1)
| p101(esk10_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_56,plain,
( p101(X1)
| p2(esk11_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_57,plain,
( p101(X1)
| p101(esk11_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_58,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_59,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_60,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p106(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_61,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p105(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_62,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_63,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_64,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_65,plain,
( p100(X1)
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_66,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_67,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_68,plain,
( p6(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p105(X2)
| ~ p6(X2)
| ~ r1(X1,X2) ),
c_0_6,
[final] ).
cnf(c_0_69,plain,
( p6(X2)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p6(X1)
| ~ p105(X2)
| ~ r1(X1,X2) ),
c_0_7,
[final] ).
cnf(c_0_70,plain,
( p5(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p104(X2)
| ~ p5(X2)
| ~ r1(X1,X2) ),
c_0_8,
[final] ).
cnf(c_0_71,plain,
( p5(X2)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p5(X1)
| ~ p104(X2)
| ~ r1(X1,X2) ),
c_0_9,
[final] ).
cnf(c_0_72,plain,
( p4(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p103(X2)
| ~ p4(X2)
| ~ r1(X1,X2) ),
c_0_10,
[final] ).
cnf(c_0_73,plain,
( p4(X2)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p4(X1)
| ~ p103(X2)
| ~ r1(X1,X2) ),
c_0_11,
[final] ).
cnf(c_0_74,plain,
( p3(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p102(X2)
| ~ p3(X2)
| ~ r1(X1,X2) ),
c_0_12,
[final] ).
cnf(c_0_75,plain,
( p3(X2)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p3(X1)
| ~ p102(X2)
| ~ r1(X1,X2) ),
c_0_13,
[final] ).
cnf(c_0_76,plain,
( p2(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ),
c_0_14,
[final] ).
cnf(c_0_77,plain,
( p2(X2)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p2(X1)
| ~ p101(X2)
| ~ r1(X1,X2) ),
c_0_15,
[final] ).
cnf(c_0_78,plain,
( p1(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p100(X2)
| ~ p1(X2)
| ~ r1(X1,X2) ),
c_0_16,
[final] ).
cnf(c_0_79,plain,
( p1(X2)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p1(X1)
| ~ p100(X2)
| ~ r1(X1,X2) ),
c_0_17,
[final] ).
cnf(c_0_80,plain,
( p105(X1)
| r1(X1,esk2_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
c_0_18,
[final] ).
cnf(c_0_81,plain,
( p105(X1)
| r1(X1,esk3_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
c_0_19,
[final] ).
cnf(c_0_82,plain,
( p104(X1)
| r1(X1,esk4_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
c_0_20,
[final] ).
cnf(c_0_83,plain,
( p104(X1)
| r1(X1,esk5_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
c_0_21,
[final] ).
cnf(c_0_84,plain,
( p103(X1)
| r1(X1,esk6_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
c_0_22,
[final] ).
cnf(c_0_85,plain,
( p103(X1)
| r1(X1,esk7_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
c_0_23,
[final] ).
cnf(c_0_86,plain,
( p102(X1)
| r1(X1,esk8_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
c_0_24,
[final] ).
cnf(c_0_87,plain,
( p102(X1)
| r1(X1,esk9_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
c_0_25,
[final] ).
cnf(c_0_88,plain,
( p101(X1)
| r1(X1,esk10_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
c_0_26,
[final] ).
cnf(c_0_89,plain,
( p101(X1)
| r1(X1,esk11_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
c_0_27,
[final] ).
cnf(c_0_90,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p6(esk2_1(X1)) ),
c_0_28,
[final] ).
cnf(c_0_91,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p106(esk2_1(X1)) ),
c_0_29,
[final] ).
cnf(c_0_92,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p106(esk3_1(X1)) ),
c_0_30,
[final] ).
cnf(c_0_93,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p5(esk4_1(X1)) ),
c_0_31,
[final] ).
cnf(c_0_94,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p105(esk4_1(X1)) ),
c_0_32,
[final] ).
cnf(c_0_95,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p105(esk5_1(X1)) ),
c_0_33,
[final] ).
cnf(c_0_96,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p4(esk6_1(X1)) ),
c_0_34,
[final] ).
cnf(c_0_97,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk6_1(X1)) ),
c_0_35,
[final] ).
cnf(c_0_98,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk7_1(X1)) ),
c_0_36,
[final] ).
cnf(c_0_99,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p3(esk8_1(X1)) ),
c_0_37,
[final] ).
cnf(c_0_100,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk8_1(X1)) ),
c_0_38,
[final] ).
cnf(c_0_101,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk9_1(X1)) ),
c_0_39,
[final] ).
cnf(c_0_102,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p2(esk10_1(X1)) ),
c_0_40,
[final] ).
cnf(c_0_103,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk10_1(X1)) ),
c_0_41,
[final] ).
cnf(c_0_104,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk11_1(X1)) ),
c_0_42,
[final] ).
cnf(c_0_105,plain,
( p105(X1)
| p105(esk2_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
c_0_43,
[final] ).
cnf(c_0_106,plain,
( p105(X1)
| p6(esk3_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
c_0_44,
[final] ).
cnf(c_0_107,plain,
( p105(X1)
| p105(esk3_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
c_0_45,
[final] ).
cnf(c_0_108,plain,
( p104(X1)
| p104(esk4_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
c_0_46,
[final] ).
cnf(c_0_109,plain,
( p104(X1)
| p5(esk5_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
c_0_47,
[final] ).
cnf(c_0_110,plain,
( p104(X1)
| p104(esk5_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
c_0_48,
[final] ).
cnf(c_0_111,plain,
( p103(X1)
| p103(esk6_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
c_0_49,
[final] ).
cnf(c_0_112,plain,
( p103(X1)
| p4(esk7_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
c_0_50,
[final] ).
cnf(c_0_113,plain,
( p103(X1)
| p103(esk7_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
c_0_51,
[final] ).
cnf(c_0_114,plain,
( p102(X1)
| p102(esk8_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
c_0_52,
[final] ).
cnf(c_0_115,plain,
( p102(X1)
| p3(esk9_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
c_0_53,
[final] ).
cnf(c_0_116,plain,
( p102(X1)
| p102(esk9_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
c_0_54,
[final] ).
cnf(c_0_117,plain,
( p101(X1)
| p101(esk10_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
c_0_55,
[final] ).
cnf(c_0_118,plain,
( p101(X1)
| p2(esk11_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
c_0_56,
[final] ).
cnf(c_0_119,plain,
( p101(X1)
| p101(esk11_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
c_0_57,
[final] ).
cnf(c_0_120,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X1) ),
c_0_58,
[final] ).
cnf(c_0_121,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
c_0_59,
[final] ).
cnf(c_0_122,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p106(X1) ),
c_0_60,
[final] ).
cnf(c_0_123,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p105(X1) ),
c_0_61,
[final] ).
cnf(c_0_124,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p104(X1) ),
c_0_62,
[final] ).
cnf(c_0_125,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p103(X1) ),
c_0_63,
[final] ).
cnf(c_0_126,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p102(X1) ),
c_0_64,
[final] ).
cnf(c_0_127,plain,
( p100(X1)
| ~ epred1_1(X1)
| ~ p101(X1) ),
c_0_65,
[final] ).
cnf(c_0_128,negated_conjecture,
~ p101(esk1_0),
c_0_66,
[final] ).
cnf(c_0_129,negated_conjecture,
p100(esk1_0),
c_0_67,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_33,plain,
( ~ epred1_1(X0)
| ~ p3(sk3_esk8_1(X0))
| p102(X0)
| ~ p101(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9249d8.p',c_0_99) ).
cnf(c_166,plain,
( ~ epred1_1(X0)
| ~ p3(sk3_esk8_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_33]) ).
cnf(c_267,plain,
( ~ epred1_1(X0)
| ~ p3(sk3_esk8_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_166]) ).
cnf(c_328,plain,
( ~ epred1_1(X0)
| ~ p3(sk3_esk8_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_267]) ).
cnf(c_389,plain,
( ~ epred1_1(X0)
| ~ p3(sk3_esk8_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_328]) ).
cnf(c_542,plain,
( ~ epred1_1(X0)
| ~ p3(sk3_esk8_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_389]) ).
cnf(c_20,plain,
( r1(X0,sk3_esk8_1(X0))
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9249d8.p',c_0_86) ).
cnf(c_140,plain,
( r1(X0,sk3_esk8_1(X0))
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_20]) ).
cnf(c_254,plain,
( r1(X0,sk3_esk8_1(X0))
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_140]) ).
cnf(c_341,plain,
( r1(X0,sk3_esk8_1(X0))
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_254]) ).
cnf(c_378,plain,
( r1(X0,sk3_esk8_1(X0))
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_341]) ).
cnf(c_520,plain,
( r1(X0,sk3_esk8_1(X0))
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_378]) ).
cnf(c_54,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| p3(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9249d8.p',c_0_120) ).
cnf(c_220,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| p3(X0) ),
inference(copy,[status(esa)],[c_54]) ).
cnf(c_288,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| p3(X0) ),
inference(copy,[status(esa)],[c_220]) ).
cnf(c_307,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| p3(X0) ),
inference(copy,[status(esa)],[c_288]) ).
cnf(c_410,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| p3(X0) ),
inference(copy,[status(esa)],[c_307]) ).
cnf(c_584,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| p3(X0) ),
inference(copy,[status(esa)],[c_410]) ).
cnf(c_1,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9249d8.p',c_0_8_0) ).
cnf(c_482,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(copy,[status(esa)],[c_1]) ).
cnf(c_612,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p3(X1) ),
inference(resolution,[status(thm)],[c_584,c_482]) ).
cnf(c_613,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p3(X1) ),
inference(rewriting,[status(thm)],[c_612]) ).
cnf(c_4623,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p3(sk3_esk8_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(resolution,[status(thm)],[c_520,c_613]) ).
cnf(c_4624,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p3(sk3_esk8_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(rewriting,[status(thm)],[c_4623]) ).
cnf(c_55,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| epred1_1(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9249d8.p',c_0_121) ).
cnf(c_222,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| epred1_1(X0) ),
inference(copy,[status(esa)],[c_55]) ).
cnf(c_289,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| epred1_1(X0) ),
inference(copy,[status(esa)],[c_222]) ).
cnf(c_306,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| epred1_1(X0) ),
inference(copy,[status(esa)],[c_289]) ).
cnf(c_411,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| epred1_1(X0) ),
inference(copy,[status(esa)],[c_306]) ).
cnf(c_586,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| epred1_1(X0) ),
inference(copy,[status(esa)],[c_411]) ).
cnf(c_5272,plain,
( ~ r1(sk3_esk1_0,X0)
| p3(sk3_esk8_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4624,c_586]) ).
cnf(c_5273,plain,
( ~ r1(sk3_esk1_0,X0)
| p3(sk3_esk8_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(rewriting,[status(thm)],[c_5272]) ).
cnf(c_5948,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(resolution,[status(thm)],[c_542,c_5273]) ).
cnf(c_5949,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(rewriting,[status(thm)],[c_5948]) ).
cnf(c_5974,plain,
( ~ r1(sk3_esk1_0,X0)
| p102(X0)
| ~ p101(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5949,c_586]) ).
cnf(c_5975,plain,
( ~ r1(sk3_esk1_0,X0)
| p102(X0)
| ~ p101(X0) ),
inference(rewriting,[status(thm)],[c_5974]) ).
cnf(c_22,plain,
( r1(X0,sk3_esk10_1(X0))
| ~ epred1_1(X0)
| p101(X0)
| ~ p100(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9249d8.p',c_0_88) ).
cnf(c_144,plain,
( r1(X0,sk3_esk10_1(X0))
| ~ epred1_1(X0)
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_22]) ).
cnf(c_256,plain,
( r1(X0,sk3_esk10_1(X0))
| ~ epred1_1(X0)
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_144]) ).
cnf(c_339,plain,
( r1(X0,sk3_esk10_1(X0))
| ~ epred1_1(X0)
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_256]) ).
cnf(c_380,plain,
( r1(X0,sk3_esk10_1(X0))
| ~ epred1_1(X0)
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_339]) ).
cnf(c_524,plain,
( r1(X0,sk3_esk10_1(X0))
| ~ epred1_1(X0)
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_380]) ).
cnf(c_5999,plain,
( ~ epred1_1(sk3_esk1_0)
| p102(sk3_esk10_1(sk3_esk1_0))
| ~ p101(sk3_esk10_1(sk3_esk1_0))
| p101(sk3_esk1_0)
| ~ p100(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_5975,c_524]) ).
cnf(c_6000,plain,
( ~ epred1_1(sk3_esk1_0)
| p102(sk3_esk10_1(sk3_esk1_0))
| ~ p101(sk3_esk10_1(sk3_esk1_0))
| p101(sk3_esk1_0)
| ~ p100(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_5999]) ).
cnf(c_63,negated_conjecture,
p100(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9249d8.p',c_0_129) ).
cnf(c_226,negated_conjecture,
p100(sk3_esk1_0),
inference(copy,[status(esa)],[c_63]) ).
cnf(c_297,negated_conjecture,
p100(sk3_esk1_0),
inference(copy,[status(esa)],[c_226]) ).
cnf(c_298,negated_conjecture,
p100(sk3_esk1_0),
inference(copy,[status(esa)],[c_297]) ).
cnf(c_418,negated_conjecture,
p100(sk3_esk1_0),
inference(copy,[status(esa)],[c_298]) ).
cnf(c_600,negated_conjecture,
p100(sk3_esk1_0),
inference(copy,[status(esa)],[c_418]) ).
cnf(c_62,negated_conjecture,
~ p101(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9249d8.p',c_0_128) ).
cnf(c_224,negated_conjecture,
~ p101(sk3_esk1_0),
inference(copy,[status(esa)],[c_62]) ).
cnf(c_296,negated_conjecture,
~ p101(sk3_esk1_0),
inference(copy,[status(esa)],[c_224]) ).
cnf(c_299,negated_conjecture,
~ p101(sk3_esk1_0),
inference(copy,[status(esa)],[c_296]) ).
cnf(c_417,negated_conjecture,
~ p101(sk3_esk1_0),
inference(copy,[status(esa)],[c_299]) ).
cnf(c_598,plain,
~ p101(sk3_esk1_0),
inference(copy,[status(esa)],[c_417]) ).
cnf(c_0,plain,
r1(X0,X0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9249d8.p',c_0_9_0) ).
cnf(c_480,plain,
r1(X0,X0),
inference(copy,[status(esa)],[c_0]) ).
cnf(c_618,plain,
epred1_1(sk3_esk1_0),
inference(resolution,[status(thm)],[c_586,c_480]) ).
cnf(c_619,plain,
epred1_1(sk3_esk1_0),
inference(rewriting,[status(thm)],[c_618]) ).
cnf(c_6040,plain,
( p102(sk3_esk10_1(sk3_esk1_0))
| ~ p101(sk3_esk10_1(sk3_esk1_0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6000,c_600,c_598,c_619]) ).
cnf(c_6041,plain,
( p102(sk3_esk10_1(sk3_esk1_0))
| ~ p101(sk3_esk10_1(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_6040]) ).
cnf(c_51,plain,
( ~ epred1_1(X0)
| p101(sk3_esk10_1(X0))
| p101(X0)
| ~ p100(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9249d8.p',c_0_117) ).
cnf(c_202,plain,
( ~ epred1_1(X0)
| p101(sk3_esk10_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_51]) ).
cnf(c_285,plain,
( ~ epred1_1(X0)
| p101(sk3_esk10_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_202]) ).
cnf(c_310,plain,
( ~ epred1_1(X0)
| p101(sk3_esk10_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_285]) ).
cnf(c_407,plain,
( ~ epred1_1(X0)
| p101(sk3_esk10_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_310]) ).
cnf(c_578,plain,
( ~ epred1_1(X0)
| p101(sk3_esk10_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_407]) ).
cnf(c_6046,plain,
( ~ epred1_1(sk3_esk1_0)
| p102(sk3_esk10_1(sk3_esk1_0))
| p101(sk3_esk1_0)
| ~ p100(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_6041,c_578]) ).
cnf(c_6047,plain,
( ~ epred1_1(sk3_esk1_0)
| p102(sk3_esk10_1(sk3_esk1_0))
| p101(sk3_esk1_0)
| ~ p100(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_6046]) ).
cnf(c_9372,plain,
p102(sk3_esk10_1(sk3_esk1_0)),
inference(forward_subsumption_resolution,[status(thm)],[c_6047,c_600,c_598,c_619]) ).
cnf(c_9373,plain,
p102(sk3_esk10_1(sk3_esk1_0)),
inference(rewriting,[status(thm)],[c_9372]) ).
cnf(c_37,plain,
( ~ epred1_1(X0)
| ~ p102(sk3_esk10_1(X0))
| p101(X0)
| ~ p100(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9249d8.p',c_0_103) ).
cnf(c_174,plain,
( ~ epred1_1(X0)
| ~ p102(sk3_esk10_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_37]) ).
cnf(c_271,plain,
( ~ epred1_1(X0)
| ~ p102(sk3_esk10_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_174]) ).
cnf(c_324,plain,
( ~ epred1_1(X0)
| ~ p102(sk3_esk10_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_271]) ).
cnf(c_393,plain,
( ~ epred1_1(X0)
| ~ p102(sk3_esk10_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_324]) ).
cnf(c_550,plain,
( ~ epred1_1(X0)
| ~ p102(sk3_esk10_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_393]) ).
cnf(c_9375,plain,
( ~ epred1_1(sk3_esk1_0)
| p101(sk3_esk1_0)
| ~ p100(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_9373,c_550]) ).
cnf(c_9376,plain,
( ~ epred1_1(sk3_esk1_0)
| p101(sk3_esk1_0)
| ~ p100(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_9375]) ).
cnf(c_9380,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9376,c_600,c_598,c_619]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : iprover_modulo %s %d
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 02:06:08 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.14/0.37 % Running in mono-core mode
% 0.14/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.14/0.41 % FOF problem with conjecture
% 0.14/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_9ae619.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_9249d8.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_a76638 | grep -v "SZS"
% 0.14/0.45
% 0.14/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.14/0.45
% 0.14/0.45 %
% 0.14/0.45 % ------ iProver source info
% 0.14/0.45
% 0.14/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.14/0.45 % git: non_committed_changes: true
% 0.14/0.45 % git: last_make_outside_of_git: true
% 0.14/0.45
% 0.14/0.45 %
% 0.14/0.45 % ------ Input Options
% 0.14/0.45
% 0.14/0.45 % --out_options all
% 0.14/0.45 % --tptp_safe_out true
% 0.14/0.45 % --problem_path ""
% 0.14/0.45 % --include_path ""
% 0.14/0.45 % --clausifier .//eprover
% 0.14/0.45 % --clausifier_options --tstp-format
% 0.14/0.45 % --stdin false
% 0.14/0.45 % --dbg_backtrace false
% 0.14/0.45 % --dbg_dump_prop_clauses false
% 0.14/0.45 % --dbg_dump_prop_clauses_file -
% 0.14/0.45 % --dbg_out_stat false
% 0.14/0.45
% 0.14/0.45 % ------ General Options
% 0.14/0.45
% 0.14/0.45 % --fof false
% 0.14/0.45 % --time_out_real 150.
% 0.14/0.45 % --time_out_prep_mult 0.2
% 0.14/0.45 % --time_out_virtual -1.
% 0.14/0.45 % --schedule none
% 0.14/0.45 % --ground_splitting input
% 0.14/0.45 % --splitting_nvd 16
% 0.14/0.45 % --non_eq_to_eq false
% 0.14/0.45 % --prep_gs_sim true
% 0.14/0.45 % --prep_unflatten false
% 0.14/0.45 % --prep_res_sim true
% 0.14/0.45 % --prep_upred true
% 0.14/0.45 % --res_sim_input true
% 0.14/0.45 % --clause_weak_htbl true
% 0.14/0.45 % --gc_record_bc_elim false
% 0.14/0.45 % --symbol_type_check false
% 0.14/0.45 % --clausify_out false
% 0.14/0.45 % --large_theory_mode false
% 0.14/0.45 % --prep_sem_filter none
% 0.14/0.45 % --prep_sem_filter_out false
% 0.14/0.45 % --preprocessed_out false
% 0.14/0.45 % --sub_typing false
% 0.14/0.45 % --brand_transform false
% 0.14/0.45 % --pure_diseq_elim true
% 0.14/0.45 % --min_unsat_core false
% 0.14/0.45 % --pred_elim true
% 0.14/0.45 % --add_important_lit false
% 0.14/0.45 % --soft_assumptions false
% 0.14/0.45 % --reset_solvers false
% 0.14/0.45 % --bc_imp_inh []
% 0.14/0.45 % --conj_cone_tolerance 1.5
% 0.14/0.45 % --prolific_symb_bound 500
% 0.14/0.45 % --lt_threshold 2000
% 0.14/0.45
% 0.14/0.45 % ------ SAT Options
% 0.14/0.45
% 0.14/0.45 % --sat_mode false
% 0.14/0.45 % --sat_fm_restart_options ""
% 0.14/0.45 % --sat_gr_def false
% 0.14/0.45 % --sat_epr_types true
% 0.14/0.45 % --sat_non_cyclic_types false
% 0.14/0.45 % --sat_finite_models false
% 0.14/0.45 % --sat_fm_lemmas false
% 0.14/0.45 % --sat_fm_prep false
% 0.14/0.45 % --sat_fm_uc_incr true
% 0.14/0.45 % --sat_out_model small
% 0.14/0.45 % --sat_out_clauses false
% 0.14/0.45
% 0.14/0.45 % ------ QBF Options
% 0.14/0.45
% 0.14/0.45 % --qbf_mode false
% 0.14/0.45 % --qbf_elim_univ true
% 0.14/0.45 % --qbf_sk_in true
% 0.14/0.45 % --qbf_pred_elim true
% 0.14/0.45 % --qbf_split 32
% 0.14/0.45
% 0.14/0.45 % ------ BMC1 Options
% 0.14/0.45
% 0.14/0.45 % --bmc1_incremental false
% 0.14/0.45 % --bmc1_axioms reachable_all
% 0.14/0.45 % --bmc1_min_bound 0
% 0.14/0.45 % --bmc1_max_bound -1
% 0.14/0.45 % --bmc1_max_bound_default -1
% 0.14/0.45 % --bmc1_symbol_reachability true
% 0.14/0.45 % --bmc1_property_lemmas false
% 0.14/0.45 % --bmc1_k_induction false
% 0.14/0.45 % --bmc1_non_equiv_states false
% 0.14/0.45 % --bmc1_deadlock false
% 0.14/0.45 % --bmc1_ucm false
% 0.14/0.45 % --bmc1_add_unsat_core none
% 0.14/0.45 % --bmc1_unsat_core_children false
% 0.14/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.14/0.45 % --bmc1_out_stat full
% 0.14/0.45 % --bmc1_ground_init false
% 0.14/0.45 % --bmc1_pre_inst_next_state false
% 0.14/0.45 % --bmc1_pre_inst_state false
% 0.14/0.45 % --bmc1_pre_inst_reach_state false
% 0.14/0.45 % --bmc1_out_unsat_core false
% 0.14/0.45 % --bmc1_aig_witness_out false
% 0.14/0.45 % --bmc1_verbose false
% 0.14/0.45 % --bmc1_dump_clauses_tptp false
% 0.20/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.46 % --bmc1_dump_file -
% 0.20/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.46 % --bmc1_ucm_extend_mode 1
% 0.20/0.46 % --bmc1_ucm_init_mode 2
% 0.20/0.46 % --bmc1_ucm_cone_mode none
% 0.20/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.46 % --bmc1_ucm_relax_model 4
% 0.20/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.46 % --bmc1_ucm_layered_model none
% 0.20/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.46
% 0.20/0.46 % ------ AIG Options
% 0.20/0.46
% 0.20/0.46 % --aig_mode false
% 0.20/0.46
% 0.20/0.46 % ------ Instantiation Options
% 0.20/0.46
% 0.20/0.46 % --instantiation_flag true
% 0.20/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.46 % --inst_solver_per_active 750
% 0.20/0.46 % --inst_solver_calls_frac 0.5
% 0.20/0.46 % --inst_passive_queue_type priority_queues
% 0.20/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.46 % --inst_passive_queues_freq [25;2]
% 0.20/0.46 % --inst_dismatching true
% 0.20/0.46 % --inst_eager_unprocessed_to_passive true
% 0.20/0.46 % --inst_prop_sim_given true
% 0.20/0.46 % --inst_prop_sim_new false
% 0.20/0.46 % --inst_orphan_elimination true
% 0.20/0.46 % --inst_learning_loop_flag true
% 0.20/0.46 % --inst_learning_start 3000
% 0.20/0.46 % --inst_learning_factor 2
% 0.20/0.46 % --inst_start_prop_sim_after_learn 3
% 0.20/0.46 % --inst_sel_renew solver
% 0.20/0.46 % --inst_lit_activity_flag true
% 0.20/0.46 % --inst_out_proof true
% 0.20/0.46
% 0.20/0.46 % ------ Resolution Options
% 0.20/0.46
% 0.20/0.46 % --resolution_flag true
% 0.20/0.46 % --res_lit_sel kbo_max
% 0.20/0.46 % --res_to_prop_solver none
% 0.20/0.46 % --res_prop_simpl_new false
% 0.20/0.46 % --res_prop_simpl_given false
% 0.20/0.46 % --res_passive_queue_type priority_queues
% 0.20/0.46 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.46 % --res_passive_queues_freq [15;5]
% 0.20/0.46 % --res_forward_subs full
% 0.20/0.46 % --res_backward_subs full
% 0.20/0.46 % --res_forward_subs_resolution true
% 0.20/0.46 % --res_backward_subs_resolution true
% 0.20/0.46 % --res_orphan_elimination false
% 0.20/0.46 % --res_time_limit 1000.
% 0.20/0.46 % --res_out_proof true
% 0.20/0.46 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_9ae619.s
% 0.20/0.46 % --modulo true
% 0.20/0.46
% 0.20/0.46 % ------ Combination Options
% 0.20/0.46
% 0.20/0.46 % --comb_res_mult 1000
% 0.20/0.46 % --comb_inst_mult 300
% 0.20/0.46 % ------
% 0.20/0.46
% 0.20/0.46 % ------ Parsing...% successful
% 0.20/0.46
% 0.20/0.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.46
% 0.20/0.46 % ------ Proving...
% 0.20/0.46 % ------ Problem Properties
% 0.20/0.46
% 0.20/0.46 %
% 0.20/0.46 % EPR false
% 0.20/0.46 % Horn false
% 0.20/0.46 % Has equality false
% 0.20/0.46
% 0.20/0.46 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 % % ------ Current options:
% 0.20/0.46
% 0.20/0.46 % ------ Input Options
% 0.20/0.46
% 0.20/0.46 % --out_options all
% 0.20/0.46 % --tptp_safe_out true
% 0.20/0.46 % --problem_path ""
% 0.20/0.46 % --include_path ""
% 0.20/0.46 % --clausifier .//eprover
% 0.20/0.46 % --clausifier_options --tstp-format
% 0.20/0.46 % --stdin false
% 0.20/0.46 % --dbg_backtrace false
% 0.20/0.46 % --dbg_dump_prop_clauses false
% 0.20/0.46 % --dbg_dump_prop_clauses_file -
% 0.20/0.46 % --dbg_out_stat false
% 0.20/0.46
% 0.20/0.46 % ------ General Options
% 0.20/0.46
% 0.20/0.46 % --fof false
% 0.20/0.46 % --time_out_real 150.
% 0.20/0.46 % --time_out_prep_mult 0.2
% 0.20/0.46 % --time_out_virtual -1.
% 0.20/0.46 % --schedule none
% 0.20/0.46 % --ground_splitting input
% 0.20/0.46 % --splitting_nvd 16
% 0.20/0.46 % --non_eq_to_eq false
% 0.20/0.46 % --prep_gs_sim true
% 0.20/0.46 % --prep_unflatten false
% 0.20/0.46 % --prep_res_sim true
% 0.20/0.46 % --prep_upred true
% 0.20/0.46 % --res_sim_input true
% 0.20/0.46 % --clause_weak_htbl true
% 0.20/0.46 % --gc_record_bc_elim false
% 0.20/0.46 % --symbol_type_check false
% 0.20/0.46 % --clausify_out false
% 0.20/0.46 % --large_theory_mode false
% 0.20/0.46 % --prep_sem_filter none
% 0.20/0.46 % --prep_sem_filter_out false
% 0.20/0.46 % --preprocessed_out false
% 0.20/0.46 % --sub_typing false
% 0.20/0.46 % --brand_transform false
% 0.20/0.46 % --pure_diseq_elim true
% 0.20/0.46 % --min_unsat_core false
% 0.20/0.46 % --pred_elim true
% 0.20/0.46 % --add_important_lit false
% 0.20/0.46 % --soft_assumptions false
% 0.20/0.46 % --reset_solvers false
% 0.20/0.46 % --bc_imp_inh []
% 0.20/0.46 % --conj_cone_tolerance 1.5
% 0.20/0.46 % --prolific_symb_bound 500
% 0.20/0.46 % --lt_threshold 2000
% 0.20/0.46
% 0.20/0.46 % ------ SAT Options
% 0.20/0.46
% 0.20/0.46 % --sat_mode false
% 0.20/0.46 % --sat_fm_restart_options ""
% 0.20/0.46 % --sat_gr_def false
% 0.20/0.46 % --sat_epr_types true
% 0.20/0.46 % --sat_non_cyclic_types false
% 0.20/0.46 % --sat_finite_models false
% 0.20/0.46 % --sat_fm_lemmas false
% 0.20/0.46 % --sat_fm_prep false
% 0.20/0.46 % --sat_fm_uc_incr true
% 0.20/0.46 % --sat_out_model small
% 0.20/0.46 % --sat_out_clauses false
% 0.20/0.46
% 0.20/0.46 % ------ QBF Options
% 0.20/0.46
% 0.20/0.46 % --qbf_mode false
% 0.20/0.46 % --qbf_elim_univ true
% 0.20/0.46 % --qbf_sk_in true
% 0.20/0.46 % --qbf_pred_elim true
% 0.20/0.46 % --qbf_split 32
% 0.20/0.46
% 0.20/0.46 % ------ BMC1 Options
% 0.20/0.46
% 0.20/0.46 % --bmc1_incremental false
% 0.20/0.46 % --bmc1_axioms reachable_all
% 0.20/0.46 % --bmc1_min_bound 0
% 0.20/0.46 % --bmc1_max_bound -1
% 0.20/0.46 % --bmc1_max_bound_default -1
% 0.20/0.46 % --bmc1_symbol_reachability true
% 0.20/0.46 % --bmc1_property_lemmas false
% 0.20/0.46 % --bmc1_k_induction false
% 0.20/0.46 % --bmc1_non_equiv_states false
% 0.20/0.46 % --bmc1_deadlock false
% 0.20/0.46 % --bmc1_ucm false
% 0.20/0.46 % --bmc1_add_unsat_core none
% 0.20/0.46 % --bmc1_unsat_core_children false
% 0.20/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.46 % --bmc1_out_stat full
% 0.20/0.46 % --bmc1_ground_init false
% 0.20/0.46 % --bmc1_pre_inst_next_state false
% 0.20/0.46 % --bmc1_pre_inst_state false
% 0.20/0.46 % --bmc1_pre_inst_reach_state false
% 0.20/0.46 % --bmc1_out_unsat_core false
% 0.20/0.46 % --bmc1_aig_witness_out false
% 0.20/0.46 % --bmc1_verbose false
% 0.20/0.46 % --bmc1_dump_clauses_tptp false
% 0.20/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.46 % --bmc1_dump_file -
% 0.20/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.46 % --bmc1_ucm_extend_mode 1
% 0.20/0.46 % --bmc1_ucm_init_mode 2
% 0.20/0.46 % --bmc1_ucm_cone_mode none
% 0.20/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.46 % --bmc1_ucm_relax_model 4
% 0.20/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.46 % --bmc1_ucm_layered_model none
% 0.20/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.46
% 0.20/0.46 % ------ AIG Options
% 0.20/0.46
% 0.20/0.46 % --aig_mode false
% 0.20/0.46
% 0.20/0.46 % ------ Instantiation Options
% 0.20/0.46
% 0.20/0.46 % --instantiation_flag true
% 0.20/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.46 % --inst_solver_per_active 750
% 0.20/0.46 % --inst_solver_calls_frac 0.5
% 0.20/0.46 % --inst_passive_queue_type priority_queues
% 0.20/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.46 % --inst_passive_queues_freq [25;2]
% 0.20/0.46 % --inst_dismatching true
% 0.20/0.46 % --inst_eager_unprocessed_to_passive true
% 0.20/0.46 % --inst_prop_sim_given true
% 0.87/1.17 % --inst_prop_sim_new false
% 0.87/1.17 % --inst_orphan_elimination true
% 0.87/1.17 % --inst_learning_loop_flag true
% 0.87/1.17 % --inst_learning_start 3000
% 0.87/1.17 % --inst_learning_factor 2
% 0.87/1.17 % --inst_start_prop_sim_after_learn 3
% 0.87/1.17 % --inst_sel_renew solver
% 0.87/1.17 % --inst_lit_activity_flag true
% 0.87/1.17 % --inst_out_proof true
% 0.87/1.17
% 0.87/1.17 % ------ Resolution Options
% 0.87/1.17
% 0.87/1.17 % --resolution_flag true
% 0.87/1.17 % --res_lit_sel kbo_max
% 0.87/1.17 % --res_to_prop_solver none
% 0.87/1.17 % --res_prop_simpl_new false
% 0.87/1.17 % --res_prop_simpl_given false
% 0.87/1.17 % --res_passive_queue_type priority_queues
% 0.87/1.17 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.87/1.17 % --res_passive_queues_freq [15;5]
% 0.87/1.17 % --res_forward_subs full
% 0.87/1.17 % --res_backward_subs full
% 0.87/1.17 % --res_forward_subs_resolution true
% 0.87/1.17 % --res_backward_subs_resolution true
% 0.87/1.17 % --res_orphan_elimination false
% 0.87/1.17 % --res_time_limit 1000.
% 0.87/1.17 % --res_out_proof true
% 0.87/1.17 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_9ae619.s
% 0.87/1.17 % --modulo true
% 0.87/1.17
% 0.87/1.17 % ------ Combination Options
% 0.87/1.17
% 0.87/1.17 % --comb_res_mult 1000
% 0.87/1.17 % --comb_inst_mult 300
% 0.87/1.17 % ------
% 0.87/1.17
% 0.87/1.17
% 0.87/1.17
% 0.87/1.17 % ------ Proving...
% 0.87/1.17 %
% 0.87/1.17
% 0.87/1.17
% 0.87/1.17 % Resolution empty clause
% 0.87/1.17
% 0.87/1.17 % ------ Statistics
% 0.87/1.17
% 0.87/1.17 % ------ General
% 0.87/1.17
% 0.87/1.17 % num_of_input_clauses: 64
% 0.87/1.17 % num_of_input_neg_conjectures: 4
% 0.87/1.17 % num_of_splits: 0
% 0.87/1.17 % num_of_split_atoms: 0
% 0.87/1.17 % num_of_sem_filtered_clauses: 0
% 0.87/1.17 % num_of_subtypes: 0
% 0.87/1.17 % monotx_restored_types: 0
% 0.87/1.17 % sat_num_of_epr_types: 0
% 0.87/1.17 % sat_num_of_non_cyclic_types: 0
% 0.87/1.17 % sat_guarded_non_collapsed_types: 0
% 0.87/1.17 % is_epr: 0
% 0.87/1.17 % is_horn: 0
% 0.87/1.17 % has_eq: 0
% 0.87/1.17 % num_pure_diseq_elim: 0
% 0.87/1.17 % simp_replaced_by: 0
% 0.87/1.17 % res_preprocessed: 66
% 0.87/1.17 % prep_upred: 0
% 0.87/1.17 % prep_unflattend: 0
% 0.87/1.17 % pred_elim_cands: 10
% 0.87/1.17 % pred_elim: 1
% 0.87/1.17 % pred_elim_cl: 3
% 0.87/1.17 % pred_elim_cycles: 2
% 0.87/1.17 % forced_gc_time: 0
% 0.87/1.17 % gc_basic_clause_elim: 0
% 0.87/1.17 % parsing_time: 0.003
% 0.87/1.17 % sem_filter_time: 0.
% 0.87/1.17 % pred_elim_time: 0.001
% 0.87/1.17 % out_proof_time: 0.003
% 0.87/1.17 % monotx_time: 0.
% 0.87/1.17 % subtype_inf_time: 0.
% 0.87/1.17 % unif_index_cands_time: 0.
% 0.87/1.17 % unif_index_add_time: 0.001
% 0.87/1.17 % total_time: 0.753
% 0.87/1.17 % num_of_symbols: 51
% 0.87/1.17 % num_of_terms: 2797
% 0.87/1.17
% 0.87/1.17 % ------ Propositional Solver
% 0.87/1.17
% 0.87/1.17 % prop_solver_calls: 1
% 0.87/1.17 % prop_fast_solver_calls: 518
% 0.87/1.17 % prop_num_of_clauses: 104
% 0.87/1.17 % prop_preprocess_simplified: 770
% 0.87/1.17 % prop_fo_subsumed: 0
% 0.87/1.17 % prop_solver_time: 0.
% 0.87/1.17 % prop_fast_solver_time: 0.
% 0.87/1.17 % prop_unsat_core_time: 0.
% 0.87/1.17
% 0.87/1.17 % ------ QBF
% 0.87/1.17
% 0.87/1.17 % qbf_q_res: 0
% 0.87/1.17 % qbf_num_tautologies: 0
% 0.87/1.17 % qbf_prep_cycles: 0
% 0.87/1.17
% 0.87/1.17 % ------ BMC1
% 0.87/1.17
% 0.87/1.17 % bmc1_current_bound: -1
% 0.87/1.17 % bmc1_last_solved_bound: -1
% 0.87/1.17 % bmc1_unsat_core_size: -1
% 0.87/1.17 % bmc1_unsat_core_parents_size: -1
% 0.87/1.17 % bmc1_merge_next_fun: 0
% 0.87/1.17 % bmc1_unsat_core_clauses_time: 0.
% 0.87/1.17
% 0.87/1.17 % ------ Instantiation
% 0.87/1.17
% 0.87/1.17 % inst_num_of_clauses: 61
% 0.87/1.17 % inst_num_in_passive: 0
% 0.87/1.17 % inst_num_in_active: 0
% 0.87/1.17 % inst_num_in_unprocessed: 61
% 0.87/1.17 % inst_num_of_loops: 0
% 0.87/1.18 % inst_num_of_learning_restarts: 0
% 0.87/1.18 % inst_num_moves_active_passive: 0
% 0.87/1.18 % inst_lit_activity: 0
% 0.87/1.18 % inst_lit_activity_moves: 0
% 0.87/1.18 % inst_num_tautologies: 0
% 0.87/1.18 % inst_num_prop_implied: 0
% 0.87/1.18 % inst_num_existing_simplified: 0
% 0.87/1.18 % inst_num_eq_res_simplified: 0
% 0.87/1.18 % inst_num_child_elim: 0
% 0.87/1.18 % inst_num_of_dismatching_blockings: 0
% 0.87/1.18 % inst_num_of_non_proper_insts: 0
% 0.87/1.18 % inst_num_of_duplicates: 0
% 0.87/1.18 % inst_inst_num_from_inst_to_res: 0
% 0.87/1.18 % inst_dismatching_checking_time: 0.
% 0.87/1.18
% 0.87/1.18 % ------ Resolution
% 0.87/1.18
% 0.87/1.18 % res_num_of_clauses: 1205
% 0.87/1.18 % res_num_in_passive: 874
% 0.87/1.18 % res_num_in_active: 330
% 0.87/1.18 % res_num_of_loops: 484
% 0.87/1.18 % res_forward_subset_subsumed: 147
% 0.87/1.18 % res_backward_subset_subsumed: 1
% 0.87/1.18 % res_forward_subsumed: 129
% 0.87/1.18 % res_backward_subsumed: 6
% 0.87/1.18 % res_forward_subsumption_resolution: 178
% 0.87/1.18 % res_backward_subsumption_resolution: 0
% 0.87/1.18 % res_clause_to_clause_subsumption: 12885
% 0.87/1.18 % res_orphan_elimination: 0
% 0.87/1.18 % res_tautology_del: 42
% 0.87/1.18 % res_num_eq_res_simplified: 0
% 0.87/1.18 % res_num_sel_changes: 0
% 0.87/1.18 % res_moves_from_active_to_pass: 0
% 0.87/1.18
% 0.87/1.18 % Status Unsatisfiable
% 0.87/1.18 % SZS status Theorem
% 0.87/1.18 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------