%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 : Fri Sep 25 02:02:40 PM UTC 2026
% Result : Theorem 7.37s 1.51s
% Output : Proof 7.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 614 ( 0 equ)
% Maximal formula atoms : 140 ( 19 avg)
% Number of connectives : 979 ( 396 ~; 333 |; 250 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-1 aty)
% Number of variables : 116 ( 0 sgn 83 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ~ ! [X] :
( ~ ( ! [Y] :
( ( p1(Y)
& p2(Y) )
| ( ~ p2(Y)
& ~ p1(Y) )
| ( p2(Y)
& p3(Y) )
| ( ~ p3(Y)
& ~ p2(Y) )
| ( p3(Y)
& p4(Y) )
| ( ~ p4(Y)
& ~ p3(Y) )
| ( p4(Y)
& p5(Y) )
| ( ~ p5(Y)
& ~ p4(Y) )
| ( p5(Y)
& p6(Y) )
| ( ~ p6(Y)
& ~ p5(Y) )
| ( p6(Y)
& p7(Y) )
| ( ~ p7(Y)
& ~ p6(Y) )
| ( p7(Y)
& p8(Y) )
| ( ~ p8(Y)
& ~ p7(Y) )
| ( p8(Y)
& p9(Y) )
| ( ~ p9(Y)
& ~ p8(Y) )
| ( p9(Y)
& p10(Y) )
| ( ~ p10(Y)
& ~ p9(Y) )
| ( p10(Y)
& p11(Y) )
| ( ~ p11(Y)
& ~ p10(Y) )
| ( p11(Y)
& p12(Y) )
| ( ~ p12(Y)
& ~ p11(Y) )
| ( p12(Y)
& p13(Y) )
| ( ~ p13(Y)
& ~ p12(Y) )
| ( p13(Y)
& p14(Y) )
| ( ~ p14(Y)
& ~ p13(Y) )
| ~ r1(X,Y) )
| ! [Y] :
( p15(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ( p1(Y)
& ~ p2(Y) )
| ( ~ p1(Y)
& p2(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p2(X)
& ~ p3(X) )
| ( ~ p2(X)
& p3(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p3(Y)
& ~ p4(Y) )
| ( ~ p3(Y)
& p4(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p4(X)
& ~ p5(X) )
| ( ~ p4(X)
& p5(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p5(Y)
& ~ p6(Y) )
| ( ~ p5(Y)
& p6(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p6(X)
& ~ p7(X) )
| ( ~ p6(X)
& p7(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p7(Y)
& ~ p8(Y) )
| ( ~ p7(Y)
& p8(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p8(X)
& ~ p9(X) )
| ( ~ p8(X)
& p9(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p9(Y)
& ~ p10(Y) )
| ( ~ p9(Y)
& p10(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p10(X)
& ~ p11(X) )
| ( ~ p10(X)
& p11(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p11(Y)
& ~ p12(Y) )
| ( ~ p11(Y)
& p12(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p12(X)
& ~ p13(X) )
| ( ~ p12(X)
& p13(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p13(Y)
& ~ p14(Y) )
| ( ~ p13(Y)
& p14(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( $false
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ~ p15(Y)
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2_neg,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ ! [X] :
( ~ ( ! [Y] :
( ( p1(Y)
& p2(Y) )
| ( ~ p2(Y)
& ~ p1(Y) )
| ( p2(Y)
& p3(Y) )
| ( ~ p3(Y)
& ~ p2(Y) )
| ( p3(Y)
& p4(Y) )
| ( ~ p4(Y)
& ~ p3(Y) )
| ( p4(Y)
& p5(Y) )
| ( ~ p5(Y)
& ~ p4(Y) )
| ( p5(Y)
& p6(Y) )
| ( ~ p6(Y)
& ~ p5(Y) )
| ( p6(Y)
& p7(Y) )
| ( ~ p7(Y)
& ~ p6(Y) )
| ( p7(Y)
& p8(Y) )
| ( ~ p8(Y)
& ~ p7(Y) )
| ( p8(Y)
& p9(Y) )
| ( ~ p9(Y)
& ~ p8(Y) )
| ( p9(Y)
& p10(Y) )
| ( ~ p10(Y)
& ~ p9(Y) )
| ( p10(Y)
& p11(Y) )
| ( ~ p11(Y)
& ~ p10(Y) )
| ( p11(Y)
& p12(Y) )
| ( ~ p12(Y)
& ~ p11(Y) )
| ( p12(Y)
& p13(Y) )
| ( ~ p13(Y)
& ~ p12(Y) )
| ( p13(Y)
& p14(Y) )
| ( ~ p14(Y)
& ~ p13(Y) )
| ~ r1(X,Y) )
| ! [Y] :
( p15(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ( p1(Y)
& ~ p2(Y) )
| ( ~ p1(Y)
& p2(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p2(X)
& ~ p3(X) )
| ( ~ p2(X)
& p3(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p3(Y)
& ~ p4(Y) )
| ( ~ p3(Y)
& p4(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p4(X)
& ~ p5(X) )
| ( ~ p4(X)
& p5(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p5(Y)
& ~ p6(Y) )
| ( ~ p5(Y)
& p6(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p6(X)
& ~ p7(X) )
| ( ~ p6(X)
& p7(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p7(Y)
& ~ p8(Y) )
| ( ~ p7(Y)
& p8(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p8(X)
& ~ p9(X) )
| ( ~ p8(X)
& p9(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p9(Y)
& ~ p10(Y) )
| ( ~ p9(Y)
& p10(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p10(X)
& ~ p11(X) )
| ( ~ p10(X)
& p11(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p11(Y)
& ~ p12(Y) )
| ( ~ p11(Y)
& p12(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p12(X)
& ~ p13(X) )
| ( ~ p12(X)
& p13(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p13(Y)
& ~ p14(Y) )
| ( ~ p13(Y)
& p14(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( $false
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ~ p15(Y)
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f2_nnf,plain,
? [X] :
( ? [Y] :
( ! [X] :
( ( ? [Y] :
( ( ~ p1(Y)
| ~ p2(Y) )
& ( p2(Y)
| p1(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( p3(Y)
| p2(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( p4(Y)
| p3(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( p5(Y)
| p4(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( p6(Y)
| p5(Y) )
& ( ~ p6(Y)
| ~ p7(Y) )
& ( p7(Y)
| p6(Y) )
& ( ~ p7(Y)
| ~ p8(Y) )
& ( p8(Y)
| p7(Y) )
& ( ~ p8(Y)
| ~ p9(Y) )
& ( p9(Y)
| p8(Y) )
& ( ~ p9(Y)
| ~ p10(Y) )
& ( p10(Y)
| p9(Y) )
& ( ~ p10(Y)
| ~ p11(Y) )
& ( p11(Y)
| p10(Y) )
& ( ~ p11(Y)
| ~ p12(Y) )
& ( p12(Y)
| p11(Y) )
& ( ~ p12(Y)
| ~ p13(Y) )
& ( p13(Y)
| p12(Y) )
& ( ~ p13(Y)
| ~ p14(Y) )
& ( p14(Y)
| p13(Y) )
& r1(X,Y) )
& ? [Y] :
( ~ p15(Y)
& r1(X,Y) )
& ! [Y] :
( ( ( ~ p1(Y)
| p2(Y) )
& ( p1(Y)
| ~ p2(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p2(X)
| p3(X) )
& ( p2(X)
| ~ p3(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p3(Y)
| p4(Y) )
& ( p3(Y)
| ~ p4(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p4(X)
| p5(X) )
& ( p4(X)
| ~ p5(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p5(Y)
| p6(Y) )
& ( p5(Y)
| ~ p6(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p6(X)
| p7(X) )
& ( p6(X)
| ~ p7(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p7(Y)
| p8(Y) )
& ( p7(Y)
| ~ p8(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p8(X)
| p9(X) )
& ( p8(X)
| ~ p9(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p9(Y)
| p10(Y) )
& ( p9(Y)
| ~ p10(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p10(X)
| p11(X) )
& ( p10(X)
| ~ p11(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p11(Y)
| p12(Y) )
& ( p11(Y)
| ~ p12(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p12(X)
| p13(X) )
& ( p12(X)
| ~ p13(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p13(Y)
| p14(Y) )
& ( p13(Y)
| ~ p14(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ~ $false
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) ) )
| ~ r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( p1(X)
& r1(Y,X) )
& p15(Y)
& r1(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f2_neg]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ( ( ~ p1(sk18(X))
| ~ p2(sk18(X)) )
& ( p2(sk18(X))
| p1(sk18(X)) )
& ( ~ p2(sk18(X))
| ~ p3(sk18(X)) )
& ( p3(sk18(X))
| p2(sk18(X)) )
& ( ~ p3(sk18(X))
| ~ p4(sk18(X)) )
& ( p4(sk18(X))
| p3(sk18(X)) )
& ( ~ p4(sk18(X))
| ~ p5(sk18(X)) )
& ( p5(sk18(X))
| p4(sk18(X)) )
& ( ~ p5(sk18(X))
| ~ p6(sk18(X)) )
& ( p6(sk18(X))
| p5(sk18(X)) )
& ( ~ p6(sk18(X))
| ~ p7(sk18(X)) )
& ( p7(sk18(X))
| p6(sk18(X)) )
& ( ~ p7(sk18(X))
| ~ p8(sk18(X)) )
& ( p8(sk18(X))
| p7(sk18(X)) )
& ( ~ p8(sk18(X))
| ~ p9(sk18(X)) )
& ( p9(sk18(X))
| p8(sk18(X)) )
& ( ~ p9(sk18(X))
| ~ p10(sk18(X)) )
& ( p10(sk18(X))
| p9(sk18(X)) )
& ( ~ p10(sk18(X))
| ~ p11(sk18(X)) )
& ( p11(sk18(X))
| p10(sk18(X)) )
& ( ~ p11(sk18(X))
| ~ p12(sk18(X)) )
& ( p12(sk18(X))
| p11(sk18(X)) )
& ( ~ p12(sk18(X))
| ~ p13(sk18(X)) )
& ( p13(sk18(X))
| p12(sk18(X)) )
& ( ~ p13(sk18(X))
| ~ p14(sk18(X)) )
& ( p14(sk18(X))
| p13(sk18(X)) )
& r1(X,sk18(X))
& ~ p15(sk17(X))
& r1(X,sk17(X))
& ( ( ( ~ p1(Y)
| p2(Y) )
& ( p1(Y)
| ~ p2(Y) ) )
| ~ r1(X,Y) )
& ( ( ( ~ p2(X)
| p3(X) )
& ( p2(X)
| ~ p3(X) ) )
| ~ r1(sk4(X),X) )
& ( ( ( ~ p3(Y)
| p4(Y) )
& ( p3(Y)
| ~ p4(Y) ) )
| ~ r1(sk5(X),Y) )
& ( ( ( ~ p4(X)
| p5(X) )
& ( p4(X)
| ~ p5(X) ) )
| ~ r1(sk6(X),X) )
& ( ( ( ~ p5(Y)
| p6(Y) )
& ( p5(Y)
| ~ p6(Y) ) )
| ~ r1(sk7(X),Y) )
& ( ( ( ~ p6(X)
| p7(X) )
& ( p6(X)
| ~ p7(X) ) )
| ~ r1(sk8(X),X) )
& ( ( ( ~ p7(Y)
| p8(Y) )
& ( p7(Y)
| ~ p8(Y) ) )
| ~ r1(sk9(X),Y) )
& ( ( ( ~ p8(X)
| p9(X) )
& ( p8(X)
| ~ p9(X) ) )
| ~ r1(sk10(X),X) )
& ( ( ( ~ p9(Y)
| p10(Y) )
& ( p9(Y)
| ~ p10(Y) ) )
| ~ r1(sk11(X),Y) )
& ( ( ( ~ p10(X)
| p11(X) )
& ( p10(X)
| ~ p11(X) ) )
| ~ r1(sk12(X),X) )
& ( ( ( ~ p11(Y)
| p12(Y) )
& ( p11(Y)
| ~ p12(Y) ) )
| ~ r1(sk13(X),Y) )
& ( ( ( ~ p12(X)
| p13(X) )
& ( p12(X)
| ~ p13(X) ) )
| ~ r1(sk14(X),X) )
& ( ( ( ~ p13(Y)
| p14(Y) )
& ( p13(Y)
| ~ p14(Y) ) )
| ~ r1(sk15(X),Y) )
& ~ $false
& r1(sk15(X),sk16(X))
& r1(sk14(sk15(X)),sk15(X))
& r1(sk13(X),sk14(X))
& r1(sk12(sk13(X)),sk13(X))
& r1(sk11(X),sk12(X))
& r1(sk10(sk11(X)),sk11(X))
& r1(sk9(X),sk10(X))
& r1(sk8(sk9(X)),sk9(X))
& r1(sk7(X),sk8(X))
& r1(sk6(sk7(X)),sk7(X))
& r1(sk5(X),sk6(X))
& r1(sk4(sk5(X)),sk5(X))
& r1(X,sk4(X)) )
| ~ r1(sk3,X) )
& r1(sk0,sk3)
& p1(sk2)
& r1(sk1,sk2)
& p15(sk1)
& r1(sk0,sk1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4,sk5,sk6,sk7,sk8,sk9,sk10,sk11,sk12,sk13,sk14,sk15,sk16,sk17,sk18])],[f2_nnf]) ).
cnf(c46,plain,
( ~ p1(X1)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f0,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f0_nnf,plain,
! [X] : r1(X,X),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] : r1(X,X),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
r1(X0,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p882,plain,
( ~ p1(X0)
| p2(X0)
| ~ r1(sk3,X0) ),
inference(resolution,[status(thm)],[c46,c0]) ).
cnf(c49,plain,
( r1(X0,sk18(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p135,plain,
r1(sk3,sk18(sk3)),
inference(resolution,[status(thm)],[c49,c0]) ).
cnf(p3252,plain,
( ~ p1(sk18(sk3))
| p2(sk18(sk3)) ),
inference(resolution,[status(thm)],[p882,p135]) ).
cnf(c45,plain,
( p1(X1)
| ~ p2(X1)
| ~ r1(X0,X1)
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p862,plain,
( p1(X0)
| ~ p2(X0)
| ~ r1(sk3,X0) ),
inference(resolution,[status(thm)],[c45,c0]) ).
cnf(p3192,plain,
( p1(sk18(sk3))
| ~ p2(sk18(sk3)) ),
inference(resolution,[status(thm)],[p862,p135]) ).
cnf(c74,plain,
( p2(sk18(X0))
| p1(sk18(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2156,plain,
( p2(sk18(sk3))
| p1(sk18(sk3)) ),
inference(resolution,[status(thm)],[c74,c0]) ).
cnf(p3232,plain,
( p1(sk18(sk3))
| p1(sk18(sk3)) ),
inference(resolution,[status(thm)],[p3192,p2156]) ).
cnf(p3236,plain,
p1(sk18(sk3)),
inference(factoring,[status(thm)],[p3232]) ).
cnf(p3289,plain,
p2(sk18(sk3)),
inference(resolution,[status(thm)],[p3252,p3236]) ).
cnf(c75,plain,
( ~ p1(sk18(X0))
| ~ p2(sk18(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2189,plain,
( ~ p1(sk18(sk3))
| ~ p2(sk18(sk3)) ),
inference(resolution,[status(thm)],[c75,c0]) ).
cnf(c72,plain,
( p3(sk18(X0))
| p2(sk18(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2096,plain,
( p3(sk18(sk3))
| p2(sk18(sk3)) ),
inference(resolution,[status(thm)],[c72,c0]) ).
cnf(p2219,plain,
( p3(sk18(sk3))
| ~ p1(sk18(sk3)) ),
inference(resolution,[status(thm)],[p2189,p2096]) ).
cnf(p3237,plain,
p3(sk18(sk3)),
inference(resolution,[status(thm)],[p3236,p2219]) ).
cnf(c73,plain,
( ~ p2(sk18(X0))
| ~ p3(sk18(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p2126,plain,
( ~ p2(sk18(sk3))
| ~ p3(sk18(sk3)) ),
inference(resolution,[status(thm)],[c73,c0]) ).
cnf(p3238,plain,
~ p2(sk18(sk3)),
inference(resolution,[status(thm)],[p3237,p2126]) ).
cnf(p3292,plain,
$false,
inference(resolution,[status(thm)],[p3289,p3238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 00:22:48 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.37/1.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.37/1.51 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------