%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWX186+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 09:15:35 AM UTC 2026
% Result : Theorem 10.03s 1.81s
% Output : CNFRefutation 10.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 3 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 28 ( 9 sgn 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_003,axiom,
! [X0,X1] : nil != cons(X0,X1) ).
fof(axiom_006,axiom,
! [X0] : drop(s(X0),nil) = nil ).
fof(axiom_007,axiom,
! [X0,X1,X2] : drop(s(X0),cons(X1,X2)) = drop(X0,X2) ).
fof(goal_009,conjecture,
? [X0,X1,X2] :
~ ( drop(X0,X1) = drop(X0,X2)
=> X1 = X2 ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1,X2] :
~ ( drop(X0,X1) = drop(X0,X2)
=> X1 = X2 ),
inference(negate_conjecture,[status(cth)],[goal_009]) ).
cnf(c2,plain,
nil != cons(X0,X1),
inference(clausification,[status(esa)],[axiom_003]) ).
cnf(c5,plain,
drop(s(X0),nil) = nil,
inference(clausification,[status(esa)],[axiom_006]) ).
cnf(c6,plain,
drop(s(X0),cons(X1,X2)) = drop(X0,X2),
inference(clausification,[status(esa)],[axiom_007]) ).
cnf(c8,plain,
( X1 = X2
| drop(X0,X1) != drop(X0,X2) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( nil = X1
| nil != drop(s(X0),X1) ),
inference(superposition,[status(thm)],[c5,c8]) ).
cnf(d1,plain,
( nil = cons(X1,X2)
| nil != drop(X0,X2) ),
inference(superposition,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
nil != drop(X0,X1),
inference(resolution,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
nil != nil,
inference(superposition,[status(thm)],[c5,d2]) ).
cnf(d4,plain,
$false,
inference(equality_resolution,[status(thm)],[d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX186+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 16:57:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.03/1.81 % SZS status Theorem for theBenchmark.p
% 10.03/1.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------