TSTP Solution File: LCL656+1.005 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LCL656+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 10:14:56 EDT 2022
% Result : Theorem 0.27s 1.44s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 718 ( 0 equ)
% Maximal formula atoms : 250 ( 21 avg)
% Number of connectives : 1250 ( 565 ~; 463 |; 220 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 9 avg)
% Maximal term depth : 3 ( 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 : 152 ( 0 sgn 113 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity) ).
fof(c_0_2,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_3,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[main]),c_0_2]) ).
fof(c_0_4,negated_conjecture,
! [X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ( ~ r1(esk1_0,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| p3(X8) )
& ( ~ r1(esk1_0,X9)
| ~ r1(X9,X10)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| epred1_1(X13) )
& ~ 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_3])])])])])])]) ).
fof(c_0_5,plain,
! [X2] : r1(X2,X2),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_6,negated_conjecture,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(esk1_0,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( p3(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(esk1_0,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
fof(c_0_11,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_2]) ).
cnf(c_0_12,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
fof(c_0_14,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_11])])])])])])])]) ).
cnf(c_0_15,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_17,plain,
( p101(X1)
| r1(X1,esk10_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_21,plain,
( p3(X1)
| ~ epred1_1(esk1_0)
| ~ r1(esk10_1(esk1_0),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_7]) ).
cnf(c_0_23,plain,
( p3(X1)
| ~ r1(esk10_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
cnf(c_0_24,plain,
( p102(X1)
| r1(X1,esk8_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,plain,
epred1_1(esk10_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_18])]),c_0_19]),c_0_22])]) ).
cnf(c_0_26,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p3(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,plain,
( p102(esk10_1(esk1_0))
| p3(esk8_1(esk10_1(esk1_0)))
| ~ p101(esk10_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_28,plain,
( p102(esk10_1(esk1_0))
| ~ p101(esk10_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_25])]) ).
cnf(c_0_29,plain,
( p101(X1)
| p101(esk10_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,plain,
p102(esk10_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_22]),c_0_18])]),c_0_19]) ).
cnf(c_0_32,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_22]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.15/0.14 % Command : run_ET %s %d
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 4 19:03:27 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.27/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.44 # Preprocessing time : 0.019 s
% 0.27/1.44
% 0.27/1.44 # Proof found!
% 0.27/1.44 # SZS status Theorem
% 0.27/1.44 # SZS output start CNFRefutation
% See solution above
% 0.27/1.44 # Proof object total steps : 33
% 0.27/1.44 # Proof object clause steps : 25
% 0.27/1.44 # Proof object formula steps : 8
% 0.27/1.44 # Proof object conjectures : 15
% 0.27/1.44 # Proof object clause conjectures : 12
% 0.27/1.44 # Proof object formula conjectures : 3
% 0.27/1.44 # Proof object initial clauses used : 10
% 0.27/1.44 # Proof object initial formulas used : 2
% 0.27/1.44 # Proof object generating inferences : 14
% 0.27/1.44 # Proof object simplifying inferences : 22
% 0.27/1.44 # Training examples: 0 positive, 0 negative
% 0.27/1.44 # Parsed axioms : 2
% 0.27/1.44 # Removed by relevancy pruning/SinE : 0
% 0.27/1.44 # Initial clauses : 63
% 0.27/1.44 # Removed in clause preprocessing : 0
% 0.27/1.44 # Initial clauses in saturation : 63
% 0.27/1.44 # Processed clauses : 138
% 0.27/1.44 # ...of these trivial : 0
% 0.27/1.44 # ...subsumed : 17
% 0.27/1.44 # ...remaining for further processing : 121
% 0.27/1.44 # Other redundant clauses eliminated : 0
% 0.27/1.44 # Clauses deleted for lack of memory : 0
% 0.27/1.44 # Backward-subsumed : 2
% 0.27/1.44 # Backward-rewritten : 8
% 0.27/1.44 # Generated clauses : 438
% 0.27/1.44 # ...of the previous two non-trivial : 406
% 0.27/1.44 # Contextual simplify-reflections : 12
% 0.27/1.44 # Paramodulations : 438
% 0.27/1.44 # Factorizations : 0
% 0.27/1.44 # Equation resolutions : 0
% 0.27/1.44 # Current number of processed clauses : 111
% 0.27/1.44 # Positive orientable unit clauses : 8
% 0.27/1.44 # Positive unorientable unit clauses: 0
% 0.27/1.44 # Negative unit clauses : 4
% 0.27/1.44 # Non-unit-clauses : 99
% 0.27/1.44 # Current number of unprocessed clauses: 311
% 0.27/1.44 # ...number of literals in the above : 1759
% 0.27/1.44 # Current number of archived formulas : 0
% 0.27/1.44 # Current number of archived clauses : 10
% 0.27/1.44 # Clause-clause subsumption calls (NU) : 1042
% 0.27/1.44 # Rec. Clause-clause subsumption calls : 466
% 0.27/1.44 # Non-unit clause-clause subsumptions : 19
% 0.27/1.44 # Unit Clause-clause subsumption calls : 237
% 0.27/1.44 # Rewrite failures with RHS unbound : 0
% 0.27/1.44 # BW rewrite match attempts : 2
% 0.27/1.44 # BW rewrite match successes : 2
% 0.27/1.44 # Condensation attempts : 0
% 0.27/1.44 # Condensation successes : 0
% 0.27/1.44 # Termbank termtop insertions : 11886
% 0.27/1.44
% 0.27/1.44 # -------------------------------------------------
% 0.27/1.44 # User time : 0.034 s
% 0.27/1.44 # System time : 0.003 s
% 0.27/1.44 # Total time : 0.037 s
% 0.27/1.44 # Maximum resident set size: 3524 pages
%------------------------------------------------------------------------------