%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 : Thu Sep 24 01:16:11 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 808 ( 0 equ)
% Maximal formula atoms : 216 ( 38 avg)
% Number of connectives : 1413 ( 626 ~; 504 |; 281 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 86 ( 17 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 : 158 ( 1 sgn 143 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ~ ! [X1] :
( ~ ( ! [X2] :
( ( p1(X2)
& p2(X2) )
| ( ~ p2(X2)
& ~ p1(X2) )
| ( p2(X2)
& p3(X2) )
| ( ~ p3(X2)
& ~ p2(X2) )
| ( p3(X2)
& p4(X2) )
| ( ~ p4(X2)
& ~ p3(X2) )
| ( p4(X2)
& p5(X2) )
| ( ~ p5(X2)
& ~ p4(X2) )
| ( p5(X2)
& p6(X2) )
| ( ~ p6(X2)
& ~ p5(X2) )
| ( p6(X2)
& p7(X2) )
| ( ~ p7(X2)
& ~ p6(X2) )
| ( p7(X2)
& p8(X2) )
| ( ~ p8(X2)
& ~ p7(X2) )
| ( p8(X2)
& p9(X2) )
| ( ~ p9(X2)
& ~ p8(X2) )
| ( p9(X2)
& p10(X2) )
| ( ~ p10(X2)
& ~ p9(X2) )
| ( p10(X2)
& p11(X2) )
| ( ~ p11(X2)
& ~ p10(X2) )
| ( p11(X2)
& p12(X2) )
| ( ~ p12(X2)
& ~ p11(X2) )
| ( p12(X2)
& p13(X2) )
| ( ~ p13(X2)
& ~ p12(X2) )
| ( p13(X2)
& p14(X2) )
| ( ~ p14(X2)
& ~ p13(X2) )
| ~ r1(X1,X2) )
| ! [X2] :
( p15(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( p1(X2)
& ~ p2(X2) )
| ( ~ p1(X2)
& p2(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p2(X1)
& ~ p3(X1) )
| ( ~ p2(X1)
& p3(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p3(X2)
& ~ p4(X2) )
| ( ~ p3(X2)
& p4(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p4(X1)
& ~ p5(X1) )
| ( ~ p4(X1)
& p5(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p5(X2)
& ~ p6(X2) )
| ( ~ p5(X2)
& p6(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p6(X1)
& ~ p7(X1) )
| ( ~ p6(X1)
& p7(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p7(X2)
& ~ p8(X2) )
| ( ~ p7(X2)
& p8(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p8(X1)
& ~ p9(X1) )
| ( ~ p8(X1)
& p9(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p9(X2)
& ~ p10(X2) )
| ( ~ p9(X2)
& p10(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p10(X1)
& ~ p11(X1) )
| ( ~ p10(X1)
& p11(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p11(X2)
& ~ p12(X2) )
| ( ~ p11(X2)
& p12(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p12(X1)
& ~ p13(X1) )
| ( ~ p12(X1)
& p13(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p13(X2)
& ~ p14(X2) )
| ( ~ p13(X2)
& p14(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ $true
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ p15(X2)
| ~ r1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,plain,
! [X1] :
( epred1_1(X1)
<=> ~ ( ! [X2] :
( ( p1(X2)
& p2(X2) )
| ( ~ p2(X2)
& ~ p1(X2) )
| ( p2(X2)
& p3(X2) )
| ( ~ p3(X2)
& ~ p2(X2) )
| ( p3(X2)
& p4(X2) )
| ( ~ p4(X2)
& ~ p3(X2) )
| ( p4(X2)
& p5(X2) )
| ( ~ p5(X2)
& ~ p4(X2) )
| ( p5(X2)
& p6(X2) )
| ( ~ p6(X2)
& ~ p5(X2) )
| ( p6(X2)
& p7(X2) )
| ( ~ p7(X2)
& ~ p6(X2) )
| ( p7(X2)
& p8(X2) )
| ( ~ p8(X2)
& ~ p7(X2) )
| ( p8(X2)
& p9(X2) )
| ( ~ p9(X2)
& ~ p8(X2) )
| ( p9(X2)
& p10(X2) )
| ( ~ p10(X2)
& ~ p9(X2) )
| ( p10(X2)
& p11(X2) )
| ( ~ p11(X2)
& ~ p10(X2) )
| ( p11(X2)
& p12(X2) )
| ( ~ p12(X2)
& ~ p11(X2) )
| ( p12(X2)
& p13(X2) )
| ( ~ p13(X2)
& ~ p12(X2) )
| ( p13(X2)
& p14(X2) )
| ( ~ p14(X2)
& ~ p13(X2) )
| ~ r1(X1,X2) )
| ! [X2] :
( p15(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( p1(X2)
& ~ p2(X2) )
| ( ~ p1(X2)
& p2(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p2(X1)
& ~ p3(X1) )
| ( ~ p2(X1)
& p3(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p3(X2)
& ~ p4(X2) )
| ( ~ p3(X2)
& p4(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p4(X1)
& ~ p5(X1) )
| ( ~ p4(X1)
& p5(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p5(X2)
& ~ p6(X2) )
| ( ~ p5(X2)
& p6(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p6(X1)
& ~ p7(X1) )
| ( ~ p6(X1)
& p7(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p7(X2)
& ~ p8(X2) )
| ( ~ p7(X2)
& p8(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p8(X1)
& ~ p9(X1) )
| ( ~ p8(X1)
& p9(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p9(X2)
& ~ p10(X2) )
| ( ~ p9(X2)
& p10(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p10(X1)
& ~ p11(X1) )
| ( ~ p10(X1)
& p11(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p11(X2)
& ~ p12(X2) )
| ( ~ p11(X2)
& p12(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p12(X1)
& ~ p13(X1) )
| ( ~ p12(X1)
& p13(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p13(X2)
& ~ p14(X2) )
| ( ~ p13(X2)
& p14(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ $true
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X1] :
( epred1_1(X1)
=> ~ ( ! [X2] :
( ( p1(X2)
& p2(X2) )
| ( ~ p2(X2)
& ~ p1(X2) )
| ( p2(X2)
& p3(X2) )
| ( ~ p3(X2)
& ~ p2(X2) )
| ( p3(X2)
& p4(X2) )
| ( ~ p4(X2)
& ~ p3(X2) )
| ( p4(X2)
& p5(X2) )
| ( ~ p5(X2)
& ~ p4(X2) )
| ( p5(X2)
& p6(X2) )
| ( ~ p6(X2)
& ~ p5(X2) )
| ( p6(X2)
& p7(X2) )
| ( ~ p7(X2)
& ~ p6(X2) )
| ( p7(X2)
& p8(X2) )
| ( ~ p8(X2)
& ~ p7(X2) )
| ( p8(X2)
& p9(X2) )
| ( ~ p9(X2)
& ~ p8(X2) )
| ( p9(X2)
& p10(X2) )
| ( ~ p10(X2)
& ~ p9(X2) )
| ( p10(X2)
& p11(X2) )
| ( ~ p11(X2)
& ~ p10(X2) )
| ( p11(X2)
& p12(X2) )
| ( ~ p12(X2)
& ~ p11(X2) )
| ( p12(X2)
& p13(X2) )
| ( ~ p13(X2)
& ~ p12(X2) )
| ( p13(X2)
& p14(X2) )
| ( ~ p14(X2)
& ~ p13(X2) )
| ~ r1(X1,X2) )
| ! [X2] :
( p15(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( p1(X2)
& ~ p2(X2) )
| ( ~ p1(X2)
& p2(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p2(X1)
& ~ p3(X1) )
| ( ~ p2(X1)
& p3(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p3(X2)
& ~ p4(X2) )
| ( ~ p3(X2)
& p4(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p4(X1)
& ~ p5(X1) )
| ( ~ p4(X1)
& p5(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p5(X2)
& ~ p6(X2) )
| ( ~ p5(X2)
& p6(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p6(X1)
& ~ p7(X1) )
| ( ~ p6(X1)
& p7(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p7(X2)
& ~ p8(X2) )
| ( ~ p7(X2)
& p8(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p8(X1)
& ~ p9(X1) )
| ( ~ p8(X1)
& p9(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p9(X2)
& ~ p10(X2) )
| ( ~ p9(X2)
& p10(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p10(X1)
& ~ p11(X1) )
| ( ~ p10(X1)
& p11(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p11(X2)
& ~ p12(X2) )
| ( ~ p11(X2)
& p12(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p12(X1)
& ~ p13(X1) )
| ( ~ p12(X1)
& p13(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p13(X2)
& ~ p14(X2) )
| ( ~ p13(X2)
& p14(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ $true
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ ! [X1] :
( ~ ( ! [X2] :
( ( p1(X2)
& p2(X2) )
| ( ~ p2(X2)
& ~ p1(X2) )
| ( p2(X2)
& p3(X2) )
| ( ~ p3(X2)
& ~ p2(X2) )
| ( p3(X2)
& p4(X2) )
| ( ~ p4(X2)
& ~ p3(X2) )
| ( p4(X2)
& p5(X2) )
| ( ~ p5(X2)
& ~ p4(X2) )
| ( p5(X2)
& p6(X2) )
| ( ~ p6(X2)
& ~ p5(X2) )
| ( p6(X2)
& p7(X2) )
| ( ~ p7(X2)
& ~ p6(X2) )
| ( p7(X2)
& p8(X2) )
| ( ~ p8(X2)
& ~ p7(X2) )
| ( p8(X2)
& p9(X2) )
| ( ~ p9(X2)
& ~ p8(X2) )
| ( p9(X2)
& p10(X2) )
| ( ~ p10(X2)
& ~ p9(X2) )
| ( p10(X2)
& p11(X2) )
| ( ~ p11(X2)
& ~ p10(X2) )
| ( p11(X2)
& p12(X2) )
| ( ~ p12(X2)
& ~ p11(X2) )
| ( p12(X2)
& p13(X2) )
| ( ~ p13(X2)
& ~ p12(X2) )
| ( p13(X2)
& p14(X2) )
| ( ~ p14(X2)
& ~ p13(X2) )
| ~ r1(X1,X2) )
| ! [X2] :
( p15(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( p1(X2)
& ~ p2(X2) )
| ( ~ p1(X2)
& p2(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p2(X1)
& ~ p3(X1) )
| ( ~ p2(X1)
& p3(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p3(X2)
& ~ p4(X2) )
| ( ~ p3(X2)
& p4(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p4(X1)
& ~ p5(X1) )
| ( ~ p4(X1)
& p5(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p5(X2)
& ~ p6(X2) )
| ( ~ p5(X2)
& p6(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p6(X1)
& ~ p7(X1) )
| ( ~ p6(X1)
& p7(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p7(X2)
& ~ p8(X2) )
| ( ~ p7(X2)
& p8(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p8(X1)
& ~ p9(X1) )
| ( ~ p8(X1)
& p9(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p9(X2)
& ~ p10(X2) )
| ( ~ p9(X2)
& p10(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p10(X1)
& ~ p11(X1) )
| ( ~ p10(X1)
& p11(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p11(X2)
& ~ p12(X2) )
| ( ~ p11(X2)
& p12(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p12(X1)
& ~ p13(X1) )
| ( ~ p12(X1)
& p13(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p13(X2)
& ~ p14(X2) )
| ( ~ p13(X2)
& p14(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ $true
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ p15(X2)
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_5,plain,
! [X13,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39] :
( ( ~ epred1_1(X13)
| ~ p1(esk19_1(X13))
| ~ p2(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p2(esk19_1(X13))
| p1(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p2(esk19_1(X13))
| ~ p3(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p3(esk19_1(X13))
| p2(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p3(esk19_1(X13))
| ~ p4(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p4(esk19_1(X13))
| p3(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p4(esk19_1(X13))
| ~ p5(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p5(esk19_1(X13))
| p4(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p5(esk19_1(X13))
| ~ p6(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p6(esk19_1(X13))
| p5(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p6(esk19_1(X13))
| ~ p7(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p7(esk19_1(X13))
| p6(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p7(esk19_1(X13))
| ~ p8(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p8(esk19_1(X13))
| p7(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p8(esk19_1(X13))
| ~ p9(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p9(esk19_1(X13))
| p8(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p9(esk19_1(X13))
| ~ p10(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p10(esk19_1(X13))
| p9(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p10(esk19_1(X13))
| ~ p11(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p11(esk19_1(X13))
| p10(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p11(esk19_1(X13))
| ~ p12(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p12(esk19_1(X13))
| p11(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p12(esk19_1(X13))
| ~ p13(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p13(esk19_1(X13))
| p12(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p13(esk19_1(X13))
| ~ p14(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| p14(esk19_1(X13))
| p13(esk19_1(X13)) )
& ( ~ epred1_1(X13)
| r1(X13,esk19_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p15(esk18_1(X13)) )
& ( ~ epred1_1(X13)
| r1(X13,esk18_1(X13)) )
& ( ~ epred1_1(X13)
| ~ r1(X13,X39)
| ~ p1(X39)
| p2(X39) )
& ( ~ epred1_1(X13)
| ~ r1(X13,X39)
| p1(X39)
| ~ p2(X39) )
& ( ~ epred1_1(X13)
| ~ r1(esk5_1(X13),X38)
| ~ p2(X38)
| p3(X38) )
& ( ~ epred1_1(X13)
| ~ r1(esk5_1(X13),X38)
| p2(X38)
| ~ p3(X38) )
& ( ~ epred1_1(X13)
| ~ r1(esk6_1(X13),X37)
| ~ p3(X37)
| p4(X37) )
& ( ~ epred1_1(X13)
| ~ r1(esk6_1(X13),X37)
| p3(X37)
| ~ p4(X37) )
& ( ~ epred1_1(X13)
| ~ r1(esk7_1(X13),X36)
| ~ p4(X36)
| p5(X36) )
& ( ~ epred1_1(X13)
| ~ r1(esk7_1(X13),X36)
| p4(X36)
| ~ p5(X36) )
& ( ~ epred1_1(X13)
| ~ r1(esk8_1(X13),X35)
| ~ p5(X35)
| p6(X35) )
& ( ~ epred1_1(X13)
| ~ r1(esk8_1(X13),X35)
| p5(X35)
| ~ p6(X35) )
& ( ~ epred1_1(X13)
| ~ r1(esk9_1(X13),X34)
| ~ p6(X34)
| p7(X34) )
& ( ~ epred1_1(X13)
| ~ r1(esk9_1(X13),X34)
| p6(X34)
| ~ p7(X34) )
& ( ~ epred1_1(X13)
| ~ r1(esk10_1(X13),X33)
| ~ p7(X33)
| p8(X33) )
& ( ~ epred1_1(X13)
| ~ r1(esk10_1(X13),X33)
| p7(X33)
| ~ p8(X33) )
& ( ~ epred1_1(X13)
| ~ r1(esk11_1(X13),X32)
| ~ p8(X32)
| p9(X32) )
& ( ~ epred1_1(X13)
| ~ r1(esk11_1(X13),X32)
| p8(X32)
| ~ p9(X32) )
& ( ~ epred1_1(X13)
| ~ r1(esk12_1(X13),X31)
| ~ p9(X31)
| p10(X31) )
& ( ~ epred1_1(X13)
| ~ r1(esk12_1(X13),X31)
| p9(X31)
| ~ p10(X31) )
& ( ~ epred1_1(X13)
| ~ r1(esk13_1(X13),X30)
| ~ p10(X30)
| p11(X30) )
& ( ~ epred1_1(X13)
| ~ r1(esk13_1(X13),X30)
| p10(X30)
| ~ p11(X30) )
& ( ~ epred1_1(X13)
| ~ r1(esk14_1(X13),X29)
| ~ p11(X29)
| p12(X29) )
& ( ~ epred1_1(X13)
| ~ r1(esk14_1(X13),X29)
| p11(X29)
| ~ p12(X29) )
& ( ~ epred1_1(X13)
| ~ r1(esk15_1(X13),X28)
| ~ p12(X28)
| p13(X28) )
& ( ~ epred1_1(X13)
| ~ r1(esk15_1(X13),X28)
| p12(X28)
| ~ p13(X28) )
& ( ~ epred1_1(X13)
| ~ r1(esk16_1(X13),X27)
| ~ p13(X27)
| p14(X27) )
& ( ~ epred1_1(X13)
| ~ r1(esk16_1(X13),X27)
| p13(X27)
| ~ p14(X27) )
& ( ~ epred1_1(X13)
| $true )
& ( ~ epred1_1(X13)
| r1(esk16_1(X13),esk17_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk15_1(X13),esk16_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk14_1(X13),esk15_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk13_1(X13),esk14_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk12_1(X13),esk13_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk11_1(X13),esk12_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk10_1(X13),esk11_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk9_1(X13),esk10_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk8_1(X13),esk9_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk7_1(X13),esk8_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk6_1(X13),esk7_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk5_1(X13),esk6_1(X13)) )
& ( ~ epred1_1(X13)
| r1(X13,esk5_1(X13)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
fof(c_0_6,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ ! [X1] :
( epred1_1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ p15(X2)
| ~ r1(X1,X2) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4]),c_0_2]) ).
cnf(c_0_7,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p2(X1)
| p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( ~ epred1_1(X1)
| r1(X1,esk19_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ epred1_1(X1)
| p2(esk19_1(X1))
| p1(esk19_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,negated_conjecture,
! [X8] :
( ( epred1_1(X8)
| ~ r1(esk4_0,X8) )
& r1(esk1_0,esk4_0)
& p1(esk3_0)
& r1(esk2_0,esk3_0)
& p15(esk2_0)
& r1(esk1_0,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
fof(c_0_11,plain,
! [X9] : r1(X9,X9),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_12,plain,
( ~ epred1_1(X1)
| ~ p1(esk19_1(X1))
| ~ p2(esk19_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( ~ epred1_1(X1)
| p1(esk19_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( ~ r1(esk4_0,X1)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p1(X1)
| p2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,plain,
( ~ p2(esk19_1(X1))
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
epred1_1(esk4_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
~ epred1_1(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_8]),c_0_13]),c_0_17]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_18,c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 01:00:36 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.45 % Version: 3.5.1
% 0.10/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % sh5l with pid 1018765 completed with status 0
% 0.10/0.45 % Result found by sh5l
% 0.10/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.10/0.45 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.10/0.45 % Search class: FGHNF-FFMS11-SFFFFFNN
% 0.10/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.45 % SubtermCWHack with pid 1018766 completed with status 0
% 0.10/0.45 % Result found by SubtermCWHack
% 0.10/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.10/0.45 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.10/0.45 % Search class: FGHNF-FFMS11-SFFFFFNN
% 0.10/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.45 % Preprocessing time : 0.002 s
% 0.10/0.45
% 0.10/0.45 % Proof found!
% 0.10/0.45 % SZS status Theorem
% 0.10/0.45 % SZS output start CNFRefutation
% See solution above
% 0.10/0.45 % Parsed axioms : 3
% 0.10/0.45 % Removed by relevancy pruning/SinE : 0
% 0.10/0.45 % Initial clauses : 77
% 0.10/0.45 % Removed in clause preprocessing : 1
% 0.10/0.45 % Initial clauses in saturation : 76
% 0.10/0.45 % Processed clauses : 80
% 0.10/0.45 % ...of these trivial : 0
% 0.10/0.45 % ...subsumed : 0
% 0.10/0.45 % ...remaining for further processing : 80
% 0.10/0.45 % Other redundant clauses eliminated : 0
% 0.10/0.45 % Clauses deleted for lack of memory : 0
% 0.10/0.45 % Backward-subsumed : 68
% 0.10/0.45 % Backward-rewritten : 0
% 0.10/0.45 % Generated clauses : 90
% 0.10/0.45 % ...of the previous two non-redundant : 62
% 0.10/0.45 % ...aggressively subsumed : 0
% 0.10/0.45 % Contextual simplify-reflections : 4
% 0.10/0.45 % Paramodulations : 86
% 0.10/0.45 % Factorizations : 0
% 0.10/0.45 % NegExts : 0
% 0.10/0.45 % Equation resolutions : 0
% 0.10/0.45 % Disequality decompositions : 0
% 0.10/0.45 % Total rewrite steps : 7
% 0.10/0.45 % ...of those cached : 5
% 0.10/0.45 % Propositional unsat checks : 0
% 0.10/0.45 % Propositional check models : 0
% 0.10/0.45 % Propositional check unsatisfiable : 0
% 0.10/0.45 % Propositional clauses : 0
% 0.10/0.45 % Propositional clauses after purity: 0
% 0.10/0.45 % Propositional unsat core size : 0
% 0.10/0.45 % Propositional preprocessing time : 0.000
% 0.10/0.45 % Propositional encoding time : 0.000
% 0.10/0.45 % Propositional solver time : 0.000
% 0.10/0.45 % Success case prop preproc time : 0.000
% 0.10/0.45 % Success case prop encoding time : 0.000
% 0.10/0.45 % Success case prop solver time : 0.000
% 0.10/0.45 % Current number of processed clauses : 8
% 0.10/0.45 % Positive orientable unit clauses : 6
% 0.10/0.45 % Positive unorientable unit clauses: 0
% 0.10/0.45 % Negative unit clauses : 1
% 0.10/0.45 % Non-unit-clauses : 1
% 0.10/0.45 % Current number of unprocessed clauses: 56
% 0.10/0.45 % ...number of literals in the above : 218
% 0.10/0.45 % Current number of archived formulas : 0
% 0.10/0.45 % Current number of archived clauses : 72
% 0.10/0.45 % Clause-clause subsumption calls (NU) : 527
% 0.10/0.45 % Rec. Clause-clause subsumption calls : 327
% 0.10/0.45 % Non-unit clause-clause subsumptions : 24
% 0.10/0.45 % Unit Clause-clause subsumption calls : 53
% 0.10/0.45 % Rewrite failures with RHS unbound : 0
% 0.10/0.45 % BW rewrite match attempts : 3
% 0.10/0.45 % BW rewrite match successes : 0
% 0.10/0.45 % Condensation attempts : 0
% 0.10/0.45 % Condensation successes : 0
% 0.10/0.45 % Termbank termtop insertions : 7189
% 0.10/0.45 % Search garbage collected termcells : 1328
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.011 s
% 0.10/0.45 % System time : 0.001 s
% 0.10/0.45 % Total time : 0.012 s
% 0.10/0.45 % Maximum resident set size: 3860 pages
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.012 s
% 0.10/0.45 % System time : 0.007 s
% 0.10/0.45 % Total time : 0.019 s
% 0.10/0.45 % Maximum resident set size: 4608 pages
% 0.10/0.45 % E exiting
%------------------------------------------------------------------------------