%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 10:16:59 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 666 ( 0 equ)
% Maximal formula atoms : 214 ( 33 avg)
% Number of connectives : 1153 ( 507 ~; 416 |; 228 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 85 ( 15 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-1 aty)
% Number of variables : 125 ( 1 sgn 111 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ $true )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p15(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity) ).
fof(c_0_2,plain,
! [X1] :
( epred1_1(X1)
<=> ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ $true )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p15(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X1] :
( epred1_1(X1)
=> ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ $true )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p15(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_4,plain,
! [X3,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( r1(X3,esk5_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk5_1(X3),esk6_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk6_1(X3),esk7_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk7_1(X3),esk8_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk8_1(X3),esk9_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk9_1(X3),esk10_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk10_1(X3),esk11_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk11_1(X3),esk12_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk12_1(X3),esk13_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk13_1(X3),esk14_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk14_1(X3),esk15_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk15_1(X3),esk16_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk16_1(X3),esk17_1(X3))
| ~ epred1_1(X3) )
& ( ~ p14(X17)
| p13(X17)
| ~ r1(esk16_1(X3),X17)
| ~ epred1_1(X3) )
& ( p14(X17)
| ~ p13(X17)
| ~ r1(esk16_1(X3),X17)
| ~ epred1_1(X3) )
& ( ~ p13(X18)
| p12(X18)
| ~ r1(esk15_1(X3),X18)
| ~ epred1_1(X3) )
& ( p13(X18)
| ~ p12(X18)
| ~ r1(esk15_1(X3),X18)
| ~ epred1_1(X3) )
& ( ~ p12(X19)
| p11(X19)
| ~ r1(esk14_1(X3),X19)
| ~ epred1_1(X3) )
& ( p12(X19)
| ~ p11(X19)
| ~ r1(esk14_1(X3),X19)
| ~ epred1_1(X3) )
& ( ~ p11(X20)
| p10(X20)
| ~ r1(esk13_1(X3),X20)
| ~ epred1_1(X3) )
& ( p11(X20)
| ~ p10(X20)
| ~ r1(esk13_1(X3),X20)
| ~ epred1_1(X3) )
& ( ~ p10(X21)
| p9(X21)
| ~ r1(esk12_1(X3),X21)
| ~ epred1_1(X3) )
& ( p10(X21)
| ~ p9(X21)
| ~ r1(esk12_1(X3),X21)
| ~ epred1_1(X3) )
& ( ~ p9(X22)
| p8(X22)
| ~ r1(esk11_1(X3),X22)
| ~ epred1_1(X3) )
& ( p9(X22)
| ~ p8(X22)
| ~ r1(esk11_1(X3),X22)
| ~ epred1_1(X3) )
& ( ~ p8(X23)
| p7(X23)
| ~ r1(esk10_1(X3),X23)
| ~ epred1_1(X3) )
& ( p8(X23)
| ~ p7(X23)
| ~ r1(esk10_1(X3),X23)
| ~ epred1_1(X3) )
& ( ~ p7(X24)
| p6(X24)
| ~ r1(esk9_1(X3),X24)
| ~ epred1_1(X3) )
& ( p7(X24)
| ~ p6(X24)
| ~ r1(esk9_1(X3),X24)
| ~ epred1_1(X3) )
& ( ~ p6(X25)
| p5(X25)
| ~ r1(esk8_1(X3),X25)
| ~ epred1_1(X3) )
& ( p6(X25)
| ~ p5(X25)
| ~ r1(esk8_1(X3),X25)
| ~ epred1_1(X3) )
& ( ~ p5(X26)
| p4(X26)
| ~ r1(esk7_1(X3),X26)
| ~ epred1_1(X3) )
& ( p5(X26)
| ~ p4(X26)
| ~ r1(esk7_1(X3),X26)
| ~ epred1_1(X3) )
& ( ~ p4(X27)
| p3(X27)
| ~ r1(esk6_1(X3),X27)
| ~ epred1_1(X3) )
& ( p4(X27)
| ~ p3(X27)
| ~ r1(esk6_1(X3),X27)
| ~ epred1_1(X3) )
& ( ~ p3(X28)
| p2(X28)
| ~ r1(esk5_1(X3),X28)
| ~ epred1_1(X3) )
& ( p3(X28)
| ~ p2(X28)
| ~ r1(esk5_1(X3),X28)
| ~ epred1_1(X3) )
& ( ~ p2(X29)
| p1(X29)
| ~ r1(X3,X29)
| ~ epred1_1(X3) )
& ( p2(X29)
| ~ p1(X29)
| ~ r1(X3,X29)
| ~ epred1_1(X3) )
& ( r1(X3,esk18_1(X3))
| ~ epred1_1(X3) )
& ( ~ p15(esk18_1(X3))
| ~ epred1_1(X3) )
& ( r1(X3,esk19_1(X3))
| ~ epred1_1(X3) )
& ( p13(esk19_1(X3))
| p14(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p14(esk19_1(X3))
| ~ p13(esk19_1(X3))
| ~ epred1_1(X3) )
& ( p12(esk19_1(X3))
| p13(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p13(esk19_1(X3))
| ~ p12(esk19_1(X3))
| ~ epred1_1(X3) )
& ( p11(esk19_1(X3))
| p12(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p12(esk19_1(X3))
| ~ p11(esk19_1(X3))
| ~ epred1_1(X3) )
& ( p10(esk19_1(X3))
| p11(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p11(esk19_1(X3))
| ~ p10(esk19_1(X3))
| ~ epred1_1(X3) )
& ( p9(esk19_1(X3))
| p10(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p10(esk19_1(X3))
| ~ p9(esk19_1(X3))
| ~ epred1_1(X3) )
& ( p8(esk19_1(X3))
| p9(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p9(esk19_1(X3))
| ~ p8(esk19_1(X3))
| ~ epred1_1(X3) )
& ( p7(esk19_1(X3))
| p8(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p8(esk19_1(X3))
| ~ p7(esk19_1(X3))
| ~ epred1_1(X3) )
& ( p6(esk19_1(X3))
| p7(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p7(esk19_1(X3))
| ~ p6(esk19_1(X3))
| ~ epred1_1(X3) )
& ( p5(esk19_1(X3))
| p6(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p6(esk19_1(X3))
| ~ p5(esk19_1(X3))
| ~ epred1_1(X3) )
& ( p4(esk19_1(X3))
| p5(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p5(esk19_1(X3))
| ~ p4(esk19_1(X3))
| ~ epred1_1(X3) )
& ( p3(esk19_1(X3))
| p4(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p4(esk19_1(X3))
| ~ p3(esk19_1(X3))
| ~ epred1_1(X3) )
& ( p2(esk19_1(X3))
| p3(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p3(esk19_1(X3))
| ~ p2(esk19_1(X3))
| ~ epred1_1(X3) )
& ( p1(esk19_1(X3))
| p2(esk19_1(X3))
| ~ epred1_1(X3) )
& ( ~ p2(esk19_1(X3))
| ~ p1(esk19_1(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_3])])])])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| epred1_1(X1) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[main]),c_0_2]) ).
cnf(c_0_6,plain,
( p1(X2)
| ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( r1(X1,esk19_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( p2(esk19_1(X1))
| p1(esk19_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_9,negated_conjecture,
! [X7] :
( r1(esk1_0,esk2_0)
& p15(esk2_0)
& r1(esk2_0,esk3_0)
& p1(esk3_0)
& r1(esk1_0,esk4_0)
& ( ~ r1(esk4_0,X7)
| epred1_1(X7) ) ),
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_10,plain,
! [X2] : r1(X2,X2),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_11,plain,
( ~ epred1_1(X1)
| ~ p1(esk19_1(X1))
| ~ p2(esk19_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( p1(esk19_1(X1))
| ~ epred1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( p2(X2)
| ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( ~ epred1_1(X1)
| ~ p2(esk19_1(X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
epred1_1(esk4_0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
~ epred1_1(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_7]),c_0_12]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_17,c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 10:50:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.018 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 20
% 0.23/1.42 # Proof object clause steps : 12
% 0.23/1.42 # Proof object formula steps : 8
% 0.23/1.42 # Proof object conjectures : 6
% 0.23/1.42 # Proof object clause conjectures : 3
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 7
% 0.23/1.42 # Proof object initial formulas used : 2
% 0.23/1.42 # Proof object generating inferences : 4
% 0.23/1.42 # Proof object simplifying inferences : 4
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 3
% 0.23/1.42 # Removed by relevancy pruning/SinE : 0
% 0.23/1.42 # Initial clauses : 76
% 0.23/1.42 # Removed in clause preprocessing : 0
% 0.23/1.42 # Initial clauses in saturation : 76
% 0.23/1.42 # Processed clauses : 124
% 0.23/1.42 # ...of these trivial : 0
% 0.23/1.42 # ...subsumed : 5
% 0.23/1.42 # ...remaining for further processing : 119
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 4
% 0.23/1.42 # Backward-rewritten : 0
% 0.23/1.42 # Generated clauses : 468
% 0.23/1.42 # ...of the previous two non-trivial : 427
% 0.23/1.42 # Contextual simplify-reflections : 6
% 0.23/1.42 # Paramodulations : 461
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 108
% 0.23/1.42 # Positive orientable unit clauses : 7
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 1
% 0.23/1.42 # Non-unit-clauses : 100
% 0.23/1.42 # Current number of unprocessed clauses: 377
% 0.23/1.42 # ...number of literals in the above : 1592
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 11
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 1420
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 677
% 0.23/1.42 # Non-unit clause-clause subsumptions : 15
% 0.23/1.42 # Unit Clause-clause subsumption calls : 200
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 0
% 0.23/1.42 # BW rewrite match successes : 0
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 11813
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.029 s
% 0.23/1.42 # System time : 0.001 s
% 0.23/1.42 # Total time : 0.030 s
% 0.23/1.42 # Maximum resident set size: 3624 pages
%------------------------------------------------------------------------------