%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:15:16 PM UTC 2026
% Result : Theorem 0.39s 0.63s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 848 ( 0 equ)
% Maximal formula atoms : 250 ( 24 avg)
% Number of connectives : 1497 ( 683 ~; 538 |; 274 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 10 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 : 184 ( 0 sgn 145 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ( p100(X1)
& ~ p101(X1)
& ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ( ( ~ p101(X2)
| p100(X2) )
& ( ~ p102(X2)
| p101(X2) )
& ( ~ p103(X2)
| p102(X2) )
& ( ~ p104(X2)
| p103(X2) )
& ( ~ p105(X2)
| p104(X2) )
& ( ~ p106(X2)
| p105(X2) )
& ( ~ p100(X2)
| ( ( ~ p1(X2)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X2,X1) ) )
& ( p1(X2)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X2,X1) ) )
& ( p2(X2)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p102(X2)
| ( ( ~ p3(X2)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X2,X1) ) )
& ( p3(X2)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p103(X2)
| ( ( ~ p4(X2)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X2,X1) ) )
& ( p4(X2)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p104(X2)
| ( ( ~ p5(X2)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X2,X1) ) )
& ( p5(X2)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p105(X2)
| ( ( ~ p6(X2)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X2,X1) ) )
& ( p6(X2)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ ( p100(X2)
& ~ p101(X2) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p101(X2)
& ~ p102(X2) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p102(X2)
& ~ p103(X2) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p103(X2)
& ~ p104(X2) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p104(X2)
& ~ p105(X2) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X2,X1) ) ) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( p100(X1)
& ~ p101(X1)
& ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ( ( ~ p101(X2)
| p100(X2) )
& ( ~ p102(X2)
| p101(X2) )
& ( ~ p103(X2)
| p102(X2) )
& ( ~ p104(X2)
| p103(X2) )
& ( ~ p105(X2)
| p104(X2) )
& ( ~ p106(X2)
| p105(X2) )
& ( ~ p100(X2)
| ( ( ~ p1(X2)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X2,X1) ) )
& ( p1(X2)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X2,X1) ) )
& ( p2(X2)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p102(X2)
| ( ( ~ p3(X2)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X2,X1) ) )
& ( p3(X2)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p103(X2)
| ( ( ~ p4(X2)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X2,X1) ) )
& ( p4(X2)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p104(X2)
| ( ( ~ p5(X2)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X2,X1) ) )
& ( p5(X2)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p105(X2)
| ( ( ~ p6(X2)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X2,X1) ) )
& ( p6(X2)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ ( p100(X2)
& ~ p101(X2) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p101(X2)
& ~ p102(X2) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p102(X2)
& ~ p103(X2) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p103(X2)
& ~ p104(X2) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p104(X2)
& ~ p105(X2) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X2,X1) ) ) ) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_3,plain,
! [X2] :
( epred1_1(X2)
<=> ( ( ~ p101(X2)
| p100(X2) )
& ( ~ p102(X2)
| p101(X2) )
& ( ~ p103(X2)
| p102(X2) )
& ( ~ p104(X2)
| p103(X2) )
& ( ~ p105(X2)
| p104(X2) )
& ( ~ p106(X2)
| p105(X2) )
& ( ~ p100(X2)
| ( ( ~ p1(X2)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X2,X1) ) )
& ( p1(X2)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X2,X1) ) )
& ( p2(X2)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p102(X2)
| ( ( ~ p3(X2)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X2,X1) ) )
& ( p3(X2)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p103(X2)
| ( ( ~ p4(X2)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X2,X1) ) )
& ( p4(X2)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p104(X2)
| ( ( ~ p5(X2)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X2,X1) ) )
& ( p5(X2)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p105(X2)
| ( ( ~ p6(X2)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X2,X1) ) )
& ( p6(X2)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ ( p100(X2)
& ~ p101(X2) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p101(X2)
& ~ p102(X2) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p102(X2)
& ~ p103(X2) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p103(X2)
& ~ p104(X2) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p104(X2)
& ~ p105(X2) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X2,X1) ) ) ) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( p100(X1)
& ~ p101(X1)
& ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( epred1_1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2]),c_0_3]) ).
fof(c_0_5,negated_conjecture,
! [X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
( p100(esk1_0)
& ~ p101(esk1_0)
& ( epred1_1(X14)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10) )
& ( p3(X9)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(esk1_0,X5) ) ),
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_4])])])])]) ).
fof(c_0_6,plain,
! [X3] : r1(X3,X3),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_7,negated_conjecture,
( ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| epred1_1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| p3(X5) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( ~ r1(X2,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( ~ r1(X2,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| p3(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
fof(c_0_12,plain,
! [X2] :
( epred1_1(X2)
=> ( ( ~ p101(X2)
| p100(X2) )
& ( ~ p102(X2)
| p101(X2) )
& ( ~ p103(X2)
| p102(X2) )
& ( ~ p104(X2)
| p103(X2) )
& ( ~ p105(X2)
| p104(X2) )
& ( ~ p106(X2)
| p105(X2) )
& ( ~ p100(X2)
| ( ( ~ p1(X2)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X2,X1) ) )
& ( p1(X2)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X2,X1) ) )
& ( p2(X2)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p102(X2)
| ( ( ~ p3(X2)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X2,X1) ) )
& ( p3(X2)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p103(X2)
| ( ( ~ p4(X2)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X2,X1) ) )
& ( p4(X2)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p104(X2)
| ( ( ~ p5(X2)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X2,X1) ) )
& ( p5(X2)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ p105(X2)
| ( ( ~ p6(X2)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X2,X1) ) )
& ( p6(X2)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X2,X1) ) ) ) )
& ( ~ ( p100(X2)
& ~ p101(X2) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p101(X2)
& ~ p102(X2) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p102(X2)
& ~ p103(X2) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p103(X2)
& ~ p104(X2) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X2,X1) ) ) )
& ( ~ ( p104(X2)
& ~ p105(X2) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X2,X1) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
cnf(c_0_13,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X2)
| p3(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
fof(c_0_15,plain,
! [X15,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37] :
( ( ~ epred1_1(X15)
| ~ p101(X15)
| p100(X15) )
& ( ~ epred1_1(X15)
| ~ p102(X15)
| p101(X15) )
& ( ~ epred1_1(X15)
| ~ p103(X15)
| p102(X15) )
& ( ~ epred1_1(X15)
| ~ p104(X15)
| p103(X15) )
& ( ~ epred1_1(X15)
| ~ p105(X15)
| p104(X15) )
& ( ~ epred1_1(X15)
| ~ p106(X15)
| p105(X15) )
& ( ~ epred1_1(X15)
| ~ p100(X15)
| ~ p1(X15)
| ~ p100(X37)
| p1(X37)
| ~ r1(X15,X37) )
& ( ~ epred1_1(X15)
| ~ p100(X15)
| p1(X15)
| ~ p100(X36)
| ~ p1(X36)
| ~ r1(X15,X36) )
& ( ~ epred1_1(X15)
| ~ p101(X15)
| ~ p2(X15)
| ~ p101(X35)
| p2(X35)
| ~ r1(X15,X35) )
& ( ~ epred1_1(X15)
| ~ p101(X15)
| p2(X15)
| ~ p101(X34)
| ~ p2(X34)
| ~ r1(X15,X34) )
& ( ~ epred1_1(X15)
| ~ p102(X15)
| ~ p3(X15)
| ~ p102(X33)
| p3(X33)
| ~ r1(X15,X33) )
& ( ~ epred1_1(X15)
| ~ p102(X15)
| p3(X15)
| ~ p102(X32)
| ~ p3(X32)
| ~ r1(X15,X32) )
& ( ~ epred1_1(X15)
| ~ p103(X15)
| ~ p4(X15)
| ~ p103(X31)
| p4(X31)
| ~ r1(X15,X31) )
& ( ~ epred1_1(X15)
| ~ p103(X15)
| p4(X15)
| ~ p103(X30)
| ~ p4(X30)
| ~ r1(X15,X30) )
& ( ~ epred1_1(X15)
| ~ p104(X15)
| ~ p5(X15)
| ~ p104(X29)
| p5(X29)
| ~ r1(X15,X29) )
& ( ~ epred1_1(X15)
| ~ p104(X15)
| p5(X15)
| ~ p104(X28)
| ~ p5(X28)
| ~ r1(X15,X28) )
& ( ~ epred1_1(X15)
| ~ p105(X15)
| ~ p6(X15)
| ~ p105(X27)
| p6(X27)
| ~ r1(X15,X27) )
& ( ~ epred1_1(X15)
| ~ p105(X15)
| p6(X15)
| ~ p105(X26)
| ~ p6(X26)
| ~ r1(X15,X26) )
& ( ~ epred1_1(X15)
| ~ p100(X15)
| p101(X15)
| p101(esk11_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p100(X15)
| p101(X15)
| ~ p102(esk11_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p100(X15)
| p101(X15)
| p2(esk11_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p100(X15)
| p101(X15)
| r1(X15,esk11_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p100(X15)
| p101(X15)
| p101(esk10_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p100(X15)
| p101(X15)
| ~ p102(esk10_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p100(X15)
| p101(X15)
| ~ p2(esk10_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p100(X15)
| p101(X15)
| r1(X15,esk10_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p101(X15)
| p102(X15)
| p102(esk9_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p101(X15)
| p102(X15)
| ~ p103(esk9_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p101(X15)
| p102(X15)
| p3(esk9_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p101(X15)
| p102(X15)
| r1(X15,esk9_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p101(X15)
| p102(X15)
| p102(esk8_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p101(X15)
| p102(X15)
| ~ p103(esk8_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p101(X15)
| p102(X15)
| ~ p3(esk8_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p101(X15)
| p102(X15)
| r1(X15,esk8_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p102(X15)
| p103(X15)
| p103(esk7_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p102(X15)
| p103(X15)
| ~ p104(esk7_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p102(X15)
| p103(X15)
| p4(esk7_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p102(X15)
| p103(X15)
| r1(X15,esk7_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p102(X15)
| p103(X15)
| p103(esk6_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p102(X15)
| p103(X15)
| ~ p104(esk6_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p102(X15)
| p103(X15)
| ~ p4(esk6_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p102(X15)
| p103(X15)
| r1(X15,esk6_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p103(X15)
| p104(X15)
| p104(esk5_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p103(X15)
| p104(X15)
| ~ p105(esk5_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p103(X15)
| p104(X15)
| p5(esk5_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p103(X15)
| p104(X15)
| r1(X15,esk5_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p103(X15)
| p104(X15)
| p104(esk4_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p103(X15)
| p104(X15)
| ~ p105(esk4_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p103(X15)
| p104(X15)
| ~ p5(esk4_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p103(X15)
| p104(X15)
| r1(X15,esk4_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p104(X15)
| p105(X15)
| p105(esk3_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p104(X15)
| p105(X15)
| ~ p106(esk3_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p104(X15)
| p105(X15)
| p6(esk3_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p104(X15)
| p105(X15)
| r1(X15,esk3_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p104(X15)
| p105(X15)
| p105(esk2_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p104(X15)
| p105(X15)
| ~ p106(esk2_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p104(X15)
| p105(X15)
| ~ p6(esk2_1(X15)) )
& ( ~ epred1_1(X15)
| ~ p104(X15)
| p105(X15)
| r1(X15,esk2_1(X15)) ) ),
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_12])])])])])]) ).
cnf(c_0_16,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X2)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X2)
| p3(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_18,plain,
( ~ epred1_1(X1)
| ~ p101(X1)
| p102(X1)
| r1(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( ~ r1(esk1_0,X1)
| epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_8]) ).
cnf(c_0_20,plain,
( ~ r1(esk1_0,X1)
| ~ p101(X1)
| p3(esk8_1(X1))
| p102(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_21,plain,
( ~ epred1_1(X1)
| ~ p100(X1)
| p101(X1)
| r1(X1,esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_19,c_0_8]) ).
cnf(c_0_23,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,plain,
( ~ p101(esk11_1(esk1_0))
| p3(esk8_1(esk11_1(esk1_0)))
| p102(esk11_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_20,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_26,plain,
( ~ epred1_1(X1)
| ~ p100(X1)
| p101(X1)
| p101(esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,plain,
( ~ epred1_1(X1)
| ~ p101(X1)
| ~ p3(esk8_1(X1))
| p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,plain,
( p3(esk8_1(esk11_1(esk1_0)))
| p102(esk11_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_25,c_0_26]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_29,plain,
epred1_1(esk11_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_19,c_0_21]),c_0_23])]),c_0_24]),c_0_22])]) ).
cnf(c_0_30,plain,
( ~ p101(esk11_1(esk1_0))
| p102(esk11_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_31,plain,
( ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk11_1(X1))
| p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,plain,
p102(esk11_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_30,c_0_26]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_33,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_22]),c_0_23])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n004.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 00:47:50 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.53 Running first-order theorem proving
% 0.26/0.53 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.39/0.63 % Version: 3.5.1
% 0.39/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.39/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.39/0.63 % Starting sh5l with 300s (1) cores
% 0.39/0.63 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1899567 completed with status 0
% 0.39/0.63 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.39/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.39/0.63 % No SInE strategy applied
% 0.39/0.63 % Search class: FGUNF-FFMF11-SFFFFFNN
% 0.39/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.39/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.39/0.63 % Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.39/0.63 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.39/0.63 % Starting new_bool_3 with 136s (1) cores
% 0.39/0.63 % new_bool_3 with pid 1899576 completed with status 0
% 0.39/0.63 % Result found by new_bool_3
% 0.39/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.39/0.63 % No SInE strategy applied
% 0.39/0.63 % Search class: FGUNF-FFMF11-SFFFFFNN
% 0.39/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.39/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.39/0.63 % Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.39/0.63 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.39/0.63 % Starting new_bool_3 with 136s (1) cores
% 0.39/0.63 % Preprocessing time : 0.003 s
% 0.39/0.63 % Presaturation interreduction done
% 0.39/0.63
% 0.39/0.63 % Proof found!
% 0.39/0.63 % SZS status Theorem
% 0.39/0.63 % SZS output start CNFRefutation
% See solution above
% 0.39/0.63 % Parsed axioms : 2
% 0.39/0.63 % Removed by relevancy pruning/SinE : 0
% 0.39/0.63 % Initial clauses : 63
% 0.39/0.63 % Removed in clause preprocessing : 0
% 0.39/0.63 % Initial clauses in saturation : 63
% 0.39/0.63 % Processed clauses : 327
% 0.39/0.63 % ...of these trivial : 0
% 0.39/0.63 % ...subsumed : 112
% 0.39/0.63 % ...remaining for further processing : 215
% 0.39/0.63 % Other redundant clauses eliminated : 0
% 0.39/0.63 % Clauses deleted for lack of memory : 0
% 0.39/0.63 % Backward-subsumed : 5
% 0.39/0.63 % Backward-rewritten : 9
% 0.39/0.63 % Generated clauses : 431
% 0.39/0.63 % ...of the previous two non-redundant : 377
% 0.39/0.63 % ...aggressively subsumed : 0
% 0.39/0.63 % Contextual simplify-reflections : 13
% 0.39/0.63 % Paramodulations : 431
% 0.39/0.63 % Factorizations : 0
% 0.39/0.63 % NegExts : 0
% 0.39/0.63 % Equation resolutions : 0
% 0.39/0.63 % Disequality decompositions : 0
% 0.39/0.63 % Total rewrite steps : 236
% 0.39/0.63 % ...of those cached : 229
% 0.39/0.63 % Propositional unsat checks : 0
% 0.39/0.63 % Propositional check models : 0
% 0.39/0.63 % Propositional check unsatisfiable : 0
% 0.39/0.63 % Propositional clauses : 0
% 0.39/0.63 % Propositional clauses after purity: 0
% 0.39/0.63 % Propositional unsat core size : 0
% 0.39/0.63 % Propositional preprocessing time : 0.000
% 0.39/0.63 % Propositional encoding time : 0.000
% 0.39/0.63 % Propositional solver time : 0.000
% 0.39/0.63 % Success case prop preproc time : 0.000
% 0.39/0.63 % Success case prop encoding time : 0.000
% 0.39/0.63 % Success case prop solver time : 0.000
% 0.39/0.63 % Current number of processed clauses : 138
% 0.39/0.63 % Positive orientable unit clauses : 9
% 0.39/0.63 % Positive unorientable unit clauses: 0
% 0.39/0.63 % Negative unit clauses : 4
% 0.39/0.63 % Non-unit-clauses : 125
% 0.39/0.63 % Current number of unprocessed clauses: 174
% 0.39/0.63 % ...number of literals in the above : 1135
% 0.39/0.63 % Current number of archived formulas : 0
% 0.39/0.63 % Current number of archived clauses : 77
% 0.39/0.63 % Clause-clause subsumption calls (NU) : 1622
% 0.39/0.63 % Rec. Clause-clause subsumption calls : 420
% 0.39/0.63 % Non-unit clause-clause subsumptions : 23
% 0.39/0.63 % Unit Clause-clause subsumption calls : 410
% 0.39/0.63 % Rewrite failures with RHS unbound : 0
% 0.39/0.63 % BW rewrite match attempts : 2
% 0.39/0.63 % BW rewrite match successes : 2
% 0.39/0.63 % Condensation attempts : 0
% 0.39/0.63 % Condensation successes : 0
% 0.39/0.63 % Termbank termtop insertions : 14034
% 0.39/0.63 % Search garbage collected termcells : 936
% 0.39/0.63
% 0.39/0.63 % -------------------------------------------------
% 0.39/0.63 % User time : 0.036 s
% 0.39/0.63 % System time : 0.012 s
% 0.39/0.63 % Total time : 0.049 s
% 0.39/0.63 % Maximum resident set size: 3916 pages
% 0.39/0.63
% 0.39/0.63 % -------------------------------------------------
% 0.39/0.63 % User time : 0.081 s
% 0.39/0.63 % System time : 0.028 s
% 0.39/0.63 % Total time : 0.109 s
% 0.39/0.63 % Maximum resident set size: 4864 pages
% 0.39/0.63 % E exiting
%------------------------------------------------------------------------------