%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL668+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 12:14:15 PM UTC 2026
% Result : Theorem 11.35s 1.86s
% Output : CNFRefutation 11.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 71 ( 43 unt; 0 def)
% Number of atoms : 384 ( 0 equ)
% Maximal formula atoms : 84 ( 5 avg)
% Number of connectives : 633 ( 320 ~; 273 |; 40 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 154 ( 0 sgn 95 !; 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)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p7(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)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(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)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [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)
& p5(X)
& p4(X)
& p3(X)
& p2(X)
& p1(X) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/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)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p12(X)
& ~ p10(X)
& ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p7(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)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p5(X)
& ~ p1(X) )
| ( p1(X)
& p5(X) ) ) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p6(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p4(X)
& ~ p5(X) )
| ( p5(X)
& p4(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(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)
| ~ ( ( ~ p3(X)
& ~ p4(X) )
| ( p4(X)
& p3(X) ) ) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [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)
& p5(X)
& p4(X)
& p3(X)
& p2(X)
& p1(X) ) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(1,plain,
r1(sK1,sK2),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l0,plain,
r1(sK1,sK2),
inference(instantiation,[status(thm)],[1]) ).
cnf(24,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(sK1,X0)
| r1(X3,sK12(X0,X1,X2,X3)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l1,plain,
( ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK2)
| ~ r1(sK1,sK1)
| r1(sK2,sK12(sK1,sK1,sK1,sK2)) ),
inference(instantiation,[status(thm)],[24]) ).
fof(reflexivity,plain,
! [X] : r1(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
cnf(0,plain,
r1(X0,X0),
inference(cnf,[status(esa)],[reflexivity]) ).
cnf(l12,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l19,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(23,plain,
( ~ p3(X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X0)
| ~ r1(sK1,X1)
| ~ p2(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l172,plain,
( ~ p3(sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK2)
| ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK1,sK1)
| ~ p2(sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(16,plain,
( ~ r1(X0,X1)
| ~ r1(sK1,X0)
| r1(X1,sK10(X0,X1)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l468,plain,
( ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK1,sK2)
| r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l496,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(22,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(sK1,X0)
| p3(X7)
| p2(X7) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l214,plain,
( ~ r1(sK2,sK2)
| ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK12(sK1,sK1,sK1,sK2),sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK12(sK1,sK1,sK1,sK2),sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK12(sK1,sK1,sK1,sK2),sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK1,sK2)
| p3(sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| p2(sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l209,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(27,plain,
( ~ p1(X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X0)
| ~ r1(sK1,X1)
| ~ p2(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l475,plain,
( ~ p1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK2)
| ~ r1(sK2,sK2)
| ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK1,sK1)
| ~ p2(sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l613,plain,
r1(sK12(sK1,sK1,sK1,sK2),sK12(sK1,sK1,sK1,sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l203,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l473,plain,
r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l469,plain,
( ~ r1(sK2,sK2)
| ~ r1(sK2,sK2)
| ~ r1(sK2,sK2)
| ~ r1(sK2,sK2)
| ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK1,sK2)
| p3(sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| p2(sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l476,plain,
( ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK1,sK2)
| r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l352,plain,
r1(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(10,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(sK1,X0)
| p5(X7)
| p1(X7) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l486,plain,
( ~ r1(sK1,sK1)
| ~ r1(sK1,sK2)
| ~ r1(sK2,sK2)
| ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK1,sK1)
| p5(sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| p1(sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l532,plain,
( ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK1,sK2)
| r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l531,plain,
( ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK1,sK2)
| r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(19,plain,
( ~ p3(X0)
| ~ p4(X0)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X0)
| ~ r1(sK1,X1) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l478,plain,
( ~ p3(sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ p4(sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK2)
| ~ r1(sK2,sK2)
| ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK12(sK1,sK1,sK1,sK2),sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK1,sK1) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l485,plain,
r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l506,plain,
( ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK1,sK2)
| r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l519,plain,
r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l488,plain,
r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l512,plain,
( ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK1,sK2)
| r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l543,plain,
r1(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(17,plain,
( ~ p5(sK10(X0,X1))
| ~ r1(X0,X1)
| ~ r1(sK1,X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l651,plain,
( ~ p5(sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK1,sK2) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l508,plain,
r1(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l542,plain,
r1(sK12(sK1,sK1,sK1,sK2),sK12(sK1,sK1,sK1,sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l495,plain,
r1(sK12(sK1,sK1,sK1,sK2),sK12(sK1,sK1,sK1,sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l474,plain,
r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l536,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l547,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l538,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l492,plain,
r1(sK12(sK1,sK1,sK1,sK2),sK12(sK1,sK1,sK1,sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l511,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(14,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(sK1,X0)
| p5(X7)
| p4(X7) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l479,plain,
( ~ r1(sK1,sK1)
| ~ r1(sK1,sK2)
| ~ r1(sK2,sK2)
| ~ r1(sK2,sK2)
| ~ r1(sK2,sK2)
| ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK1,sK1)
| p5(sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| p4(sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l504,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l520,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l489,plain,
r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l480,plain,
( ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK1,sK2)
| r1(sK12(sK1,sK1,sK1,sK2),sK10(sK2,sK12(sK1,sK1,sK1,sK2))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l550,plain,
( ~ p5(sK10(sK2,sK12(sK1,sK1,sK1,sK2)))
| ~ r1(sK2,sK12(sK1,sK1,sK1,sK2))
| ~ r1(sK1,sK2) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l482,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l514,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l648,plain,
r1(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l470,plain,
r1(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l471,plain,
r1(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l487,plain,
r1(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l517,plain,
r1(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l472,plain,
r1(sK10(sK2,sK12(sK1,sK1,sK1,sK2)),sK10(sK2,sK12(sK1,sK1,sK1,sK2))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l647,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l483,plain,
r1(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l555,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l548,plain,
r1(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(l557,plain,
r1(sK2,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l12,l2,l19,l172,l468,l496,l214,l209,l475,l613,l203,l473,l469,l476,l352,l486,l532,l531,l478,l485,l506,l519,l488,l512,l543,l651,l508,l542,l495,l474,l536,l547,l538,l492,l511,l479,l504,l520,l489,l480,l550,l482,l514,l648,l470,l471,l487,l517,l472,l647,l483,l555,l548,l557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL668+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 5 07:02:19 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % launching worker at depth: 1
% 0.12/0.38 % launching worker at depth: 8
% 0.12/0.38 % launching worker at depth: 3
% 0.12/0.38 % launching worker at depth: 4
% 0.12/0.38 % launching worker at depth: 5
% 0.12/0.38 % launching worker at depth: 6
% 0.12/0.38 % launching worker at depth: 7
% 0.12/0.38 % launching worker at depth: 2
% 0.12/0.43 % launching worker at depth: 9
% 4.19/0.94 % launching worker at depth: 10
% 11.35/1.86 % SZS status Theorem for theBenchmark
% 11.35/1.86 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------