%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 : Mon Sep 7 12:14:11 PM UTC 2026
% Result : Theorem 4.41s 1.01s
% Output : CNFRefutation 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 83 ( 65 unt; 0 def)
% Number of atoms : 447 ( 0 equ)
% Maximal formula atoms : 129 ( 5 avg)
% Number of connectives : 708 ( 344 ~; 256 |; 108 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-5 aty)
% Number of variables : 98 ( 0 sgn 65 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,plain,
~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) ) ) ) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ( ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p6(X)
& ~ p106(X)
& p105(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p6(X)
& ~ p106(X)
& p105(X) ) ) )
| ~ ( ~ p105(Y)
& p104(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p5(X)
& ~ p105(X)
& p104(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p5(X)
& ~ p105(X)
& p104(X) ) ) )
| ~ ( ~ p104(Y)
& p103(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p4(X)
& ~ p104(X)
& p103(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p4(X)
& ~ p104(X)
& p103(X) ) ) )
| ~ ( ~ p103(Y)
& p102(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p3(X)
& ~ p103(X)
& p102(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p3(X)
& ~ p103(X)
& p102(X) ) ) )
| ~ ( ~ p102(Y)
& p101(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p2(X)
& ~ p102(X)
& p101(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p2(X)
& ~ p102(X)
& p101(X) ) ) )
| ~ ( ~ p101(Y)
& p100(Y) ) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p6(X)
| ~ p105(X) )
| p6(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p6(X)
| ~ p105(X) )
| ~ p6(Y) ) )
| ~ p105(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p5(X)
| ~ p104(X) )
| p5(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p5(X)
| ~ p104(X) )
| ~ p5(Y) ) )
| ~ p104(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p4(X)
| ~ p103(X) )
| p4(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p4(X)
| ~ p103(X) )
| ~ p4(Y) ) )
| ~ p103(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p3(X)
| ~ p102(X) )
| p3(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p3(X)
| ~ p102(X) )
| ~ p3(Y) ) )
| ~ p102(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p2(X)
| ~ p101(X) )
| p2(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p2(X)
| ~ p101(X) )
| ~ p2(Y) ) )
| ~ p101(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p1(X)
| ~ p100(X) )
| p1(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p1(X)
| ~ p100(X) )
| ~ p1(Y) ) )
| ~ p100(Y) )
& ( p105(Y)
| ~ p106(Y) )
& ( p104(Y)
| ~ p105(Y) )
& ( p103(Y)
| ~ p104(Y) )
& ( p102(Y)
| ~ p103(Y) )
& ( p101(Y)
| ~ p102(Y) )
& ( p100(Y)
| ~ p101(Y) ) ) ) ) ) ) )
& ~ p101(X)
& p100(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(main_negated,plain,
~ ~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) ) ) ) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ( ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p6(X)
& ~ p106(X)
& p105(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p6(X)
& ~ p106(X)
& p105(X) ) ) )
| ~ ( ~ p105(Y)
& p104(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p5(X)
& ~ p105(X)
& p104(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p5(X)
& ~ p105(X)
& p104(X) ) ) )
| ~ ( ~ p104(Y)
& p103(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p4(X)
& ~ p104(X)
& p103(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p4(X)
& ~ p104(X)
& p103(X) ) ) )
| ~ ( ~ p103(Y)
& p102(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p3(X)
& ~ p103(X)
& p102(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p3(X)
& ~ p103(X)
& p102(X) ) ) )
| ~ ( ~ p102(Y)
& p101(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p2(X)
& ~ p102(X)
& p101(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p2(X)
& ~ p102(X)
& p101(X) ) ) )
| ~ ( ~ p101(Y)
& p100(Y) ) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p6(X)
| ~ p105(X) )
| p6(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p6(X)
| ~ p105(X) )
| ~ p6(Y) ) )
| ~ p105(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p5(X)
| ~ p104(X) )
| p5(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p5(X)
| ~ p104(X) )
| ~ p5(Y) ) )
| ~ p104(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p4(X)
| ~ p103(X) )
| p4(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p4(X)
| ~ p103(X) )
| ~ p4(Y) ) )
| ~ p103(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p3(X)
| ~ p102(X) )
| p3(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p3(X)
| ~ p102(X) )
| ~ p3(Y) ) )
| ~ p102(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p2(X)
| ~ p101(X) )
| p2(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p2(X)
| ~ p101(X) )
| ~ p2(Y) ) )
| ~ p101(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p1(X)
| ~ p100(X) )
| p1(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p1(X)
| ~ p100(X) )
| ~ p1(Y) ) )
| ~ p100(Y) )
& ( p105(Y)
| ~ p106(Y) )
& ( p104(Y)
| ~ p105(Y) )
& ( p103(Y)
| ~ p104(Y) )
& ( p102(Y)
| ~ p103(Y) )
& ( p101(Y)
| ~ p102(Y) )
& ( p100(Y)
| ~ p101(Y) ) ) ) ) ) ) )
& ~ p101(X)
& p100(X) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(1,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(sK1,X0)
| p3(X4) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l0,plain,
( ~ r1(sK1,sK1)
| ~ r1(sK1,sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK11(sK1,sK1,sK1,sK1,sK1),sK8(sK1,sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1)))
| ~ r1(sK8(sK1,sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1)),sK8(sK1,sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1)))
| ~ r1(sK1,sK1)
| p3(sK8(sK1,sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(38,plain,
( ~ p100(X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X0)
| ~ r1(sK1,X1)
| p101(X0)
| r1(X0,sK11(X1,X2,X3,X4,X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l4,plain,
( ~ p100(sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| p101(sK1)
| r1(sK1,sK11(sK1,sK1,sK1,sK1,sK1)) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(61,plain,
p100(sK1),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l55,plain,
p100(sK1),
inference(instantiation,[status(thm)],[61]) ).
fof(reflexivity,plain,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
cnf(0,plain,
r1(X0,X0),
inference(cnf,[status(esa)],[reflexivity]) ).
cnf(l87,plain,
r1(sK8(sK1,sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1)),sK8(sK1,sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l17,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(27,plain,
( ~ p3(sK8(X0,X1,X2,X3,X4))
| ~ p101(X4)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(sK1,X0)
| p102(X4) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l80,plain,
( ~ p3(sK8(sK1,sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1)))
| ~ p101(sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK1,sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK1,sK1)
| p102(sK11(sK1,sK1,sK1,sK1,sK1)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l50,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l82,plain,
( ~ p100(sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| p101(sK1)
| r1(sK1,sK11(sK1,sK1,sK1,sK1,sK1)) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(40,plain,
( ~ p100(X0)
| ~ p102(sK11(X1,X2,X3,X4,X0))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X0)
| ~ r1(sK1,X1)
| p101(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l124,plain,
( ~ p100(sK1)
| ~ p102(sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| p101(sK1) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l300,plain,
p100(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(l299,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l301,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l348,plain,
p100(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(l331,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(60,plain,
~ p101(sK1),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l9,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[60]) ).
cnf(l141,plain,
r1(sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l11,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l373,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[60]) ).
cnf(l19,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l222,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l333,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l227,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l309,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(26,plain,
( ~ p101(X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X0)
| ~ r1(sK1,X1)
| p102(X0)
| r1(X0,sK8(X1,X2,X3,X4,X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l1,plain,
( ~ p101(sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK1,sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK1,sK1)
| p102(sK11(sK1,sK1,sK1,sK1,sK1))
| r1(sK11(sK1,sK1,sK1,sK1,sK1),sK8(sK1,sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1))) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(41,plain,
( ~ p100(X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X0)
| ~ r1(sK1,X1)
| p101(X0)
| p101(sK11(X1,X2,X3,X4,X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l233,plain,
( ~ p100(sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| p101(sK1)
| p101(sK11(sK1,sK1,sK1,sK1,sK1)) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l296,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l26,plain,
( ~ p100(sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| p101(sK1)
| r1(sK1,sK11(sK1,sK1,sK1,sK1,sK1)) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l43,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l42,plain,
p100(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(l46,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[60]) ).
cnf(l324,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[60]) ).
cnf(l123,plain,
r1(sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l281,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l317,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l45,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l63,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l12,plain,
r1(sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l371,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l28,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l291,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l92,plain,
( ~ p100(sK1)
| ~ p102(sK11(sK1,sK1,sK1,sK1,sK1))
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| p101(sK1) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l98,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l262,plain,
r1(sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l106,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ p100(sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| p101(sK1)
| p101(sK11(sK1,sK1,sK1,sK1,sK1)) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l125,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[60]) ).
cnf(l304,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l52,plain,
r1(sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l79,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l103,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l209,plain,
p100(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(l316,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l61,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l292,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l283,plain,
p100(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(l282,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[60]) ).
cnf(l81,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l318,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l349,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l78,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[60]) ).
cnf(l13,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l322,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l15,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l34,plain,
p100(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(l38,plain,
r1(sK11(sK1,sK1,sK1,sK1,sK1),sK11(sK1,sK1,sK1,sK1,sK1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l232,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l55,l87,l17,l80,l50,l2,l82,l124,l300,l299,l301,l348,l331,l6,l9,l141,l11,l373,l19,l222,l333,l227,l309,l1,l233,l296,l26,l43,l42,l46,l324,l123,l281,l317,l45,l63,l12,l371,l28,l291,l92,l98,l262,l106,l3,l125,l304,l52,l79,l103,l209,l316,l61,l292,l283,l282,l81,l318,l349,l8,l78,l5,l13,l322,l15,l34,l38,l232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 17:25:44 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % launching worker at depth: 1
% 0.08/0.35 % launching worker at depth: 2
% 0.08/0.35 % launching worker at depth: 3
% 0.08/0.35 % launching worker at depth: 8
% 0.08/0.35 % launching worker at depth: 4
% 0.08/0.35 % launching worker at depth: 5
% 0.08/0.35 % launching worker at depth: 6
% 0.08/0.35 % launching worker at depth: 7
% 0.12/0.36 % launching worker at depth: 9
% 3.61/0.81 % launching worker at depth: 10
% 4.41/1.01 % SZS status Theorem for theBenchmark
% 4.41/1.01 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------