%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL638+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 : Sun Sep 27 07:54:55 AM UTC 2026
% Result : Theorem 7.92s 2.19s
% Output : CNFRefutation 7.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 1
% Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 31 ( 4 avg)
% Number of connectives : 240 ( 131 ~; 101 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 67 ( 0 sgn 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(c0,plain,
( p1(X0)
| r1(X1,sK3(X1))
| ~ r1(X0,X1)
| ~ r1(sK0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( p1(X0)
| ~ p1(sK3(X1))
| ~ r1(X0,X1)
| ~ r1(sK0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
( ~ r1(sK0,X1)
| r1(X1,sK16(X1))
| ~ r1(X2,X0)
| ~ r1(X1,X2)
| p1(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c9,plain,
( ~ r1(sK0,X1)
| ~ p1(sK16(X1))
| ~ r1(X2,X0)
| ~ r1(X1,X2)
| p1(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c10,plain,
( r1(X0,sK18(X0))
| ~ r1(sK0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
r1(sK0,sK19),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
~ p1(sK19),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c13,plain,
( p1(X0)
| ~ r1(sK19,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( p1(sK19)
| ~ r1(sK19,X0)
| r1(X0,sK3(X0)) ),
inference(resolution,[status(thm)],[c11,c0]) ).
cnf(d1,plain,
( ~ r1(sK19,X0)
| r1(X0,sK3(X0)) ),
inference(resolution,[status(thm)],[c12,d0]) ).
cnf(d2,plain,
( p1(X1)
| r1(sK19,sK16(sK19))
| ~ r1(sK19,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c8,c11]) ).
cnf(d3,plain,
( ~ r1(sK0,sK19)
| p1(X0)
| r1(sK19,sK16(sK19))
| ~ r1(sK18(sK19),X0) ),
inference(resolution,[status(thm)],[d2,c10]) ).
cnf(d4,plain,
( p1(X0)
| r1(sK19,sK16(sK19))
| ~ r1(sK18(sK19),X0) ),
inference(resolution,[status(thm)],[c11,d3]) ).
cnf(d5,plain,
( ~ r1(sK19,sK18(sK19))
| p1(sK3(sK18(sK19)))
| r1(sK19,sK16(sK19)) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( ~ r1(sK0,sK19)
| p1(sK3(sK18(sK19)))
| r1(sK19,sK16(sK19)) ),
inference(resolution,[status(thm)],[d5,c10]) ).
cnf(d7,plain,
( p1(sK3(sK18(sK19)))
| r1(sK19,sK16(sK19)) ),
inference(resolution,[status(thm)],[c11,d6]) ).
cnf(d8,plain,
( p1(X0)
| ~ r1(sK0,X0)
| ~ r1(X0,sK18(sK19))
| r1(sK19,sK16(sK19)) ),
inference(resolution,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
( ~ r1(sK0,sK19)
| p1(sK19)
| r1(sK19,sK16(sK19))
| ~ r1(sK0,sK19) ),
inference(resolution,[status(thm)],[d8,c10]) ).
cnf(d10,plain,
( r1(sK19,sK16(sK19))
| ~ r1(sK0,sK19) ),
inference(resolution,[status(thm)],[c12,d9]) ).
cnf(d11,plain,
r1(sK19,sK16(sK19)),
inference(resolution,[status(thm)],[c11,d10]) ).
cnf(d12,plain,
p1(sK16(sK19)),
inference(resolution,[status(thm)],[d11,c13]) ).
cnf(d13,plain,
( p1(X1)
| ~ r1(sK0,sK19)
| ~ r1(sK19,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[d12,c9]) ).
cnf(d14,plain,
( p1(X1)
| ~ r1(sK19,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c11,d13]) ).
cnf(d15,plain,
( p1(X0)
| ~ r1(sK16(sK19),X0) ),
inference(resolution,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
( ~ r1(sK19,sK16(sK19))
| p1(sK3(sK16(sK19))) ),
inference(resolution,[status(thm)],[d15,d1]) ).
cnf(d17,plain,
p1(sK3(sK16(sK19))),
inference(resolution,[status(thm)],[d11,d16]) ).
cnf(d18,plain,
( p1(X0)
| ~ r1(sK0,X0)
| ~ r1(X0,sK16(sK19)) ),
inference(resolution,[status(thm)],[d17,c1]) ).
cnf(d19,plain,
( p1(sK19)
| ~ r1(sK0,sK19) ),
inference(resolution,[status(thm)],[d18,d11]) ).
cnf(d20,plain,
~ r1(sK0,sK19),
inference(resolution,[status(thm)],[c12,d19]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[c11,d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL638+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n007.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 : Fri Sep 25 22:47:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.92/2.19 % SZS status Theorem for theBenchmark.p
% 7.92/2.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------