%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LCL674+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 : Sun Jul 17 10:16:31 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 673 ( 0 equ)
% Maximal formula atoms : 250 ( 24 avg)
% Number of connectives : 1170 ( 524 ~; 422 |; 221 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-1 aty)
% Number of variables : 113 ( 0 sgn 95 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,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('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',main) ).
fof(transitivity,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',transitivity) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity) ).
fof(c_0_3,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_4,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_3]) ).
fof(c_0_5,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(assume_negation,[status(cth)],[main]),c_0_3]) ).
fof(c_0_6,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])])])]) ).
fof(c_0_7,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])])])])])])]) ).
fof(c_0_8,plain,
! [X4,X5,X6] :
( ~ r1(X4,X5)
| ~ r1(X5,X6)
| r1(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])]) ).
cnf(c_0_9,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p3(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( r1(X1,X2)
| ~ r1(X3,X2)
| ~ r1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( p102(X1)
| r1(X1,esk8_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ r1(esk1_0,esk8_1(X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( p102(X1)
| r1(X2,esk8_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,plain,
! [X2] : r1(X2,X2),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_17,negated_conjecture,
( p102(X1)
| ~ p101(X1)
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,plain,
( p101(X1)
| p101(esk11_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ r1(esk1_0,esk11_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_22,plain,
( p101(X1)
| r1(X1,esk11_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL674+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n029.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 : Sat Jul 2 14:12:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.017 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 27
% 0.22/1.40 # Proof object clause steps : 17
% 0.22/1.40 # Proof object formula steps : 10
% 0.22/1.40 # Proof object conjectures : 10
% 0.22/1.40 # Proof object clause conjectures : 7
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 11
% 0.22/1.40 # Proof object initial formulas used : 3
% 0.22/1.40 # Proof object generating inferences : 6
% 0.22/1.40 # Proof object simplifying inferences : 6
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 3
% 0.22/1.40 # Removed by relevancy pruning/SinE : 0
% 0.22/1.40 # Initial clauses : 64
% 0.22/1.40 # Removed in clause preprocessing : 0
% 0.22/1.40 # Initial clauses in saturation : 64
% 0.22/1.40 # Processed clauses : 108
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 14
% 0.22/1.40 # ...remaining for further processing : 94
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 0
% 0.22/1.40 # Backward-rewritten : 2
% 0.22/1.40 # Generated clauses : 220
% 0.22/1.40 # ...of the previous two non-trivial : 186
% 0.22/1.40 # Contextual simplify-reflections : 18
% 0.22/1.40 # Paramodulations : 220
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 92
% 0.22/1.40 # Positive orientable unit clauses : 5
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 4
% 0.22/1.40 # Non-unit-clauses : 83
% 0.22/1.40 # Current number of unprocessed clauses: 141
% 0.22/1.40 # ...number of literals in the above : 1018
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 2
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 677
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 186
% 0.22/1.40 # Non-unit clause-clause subsumptions : 22
% 0.22/1.40 # Unit Clause-clause subsumption calls : 177
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 1
% 0.22/1.40 # BW rewrite match successes : 1
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 8922
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.023 s
% 0.22/1.40 # System time : 0.003 s
% 0.22/1.40 # Total time : 0.026 s
% 0.22/1.40 # Maximum resident set size: 3528 pages
%------------------------------------------------------------------------------