%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PHI011+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 08:19:38 AM UTC 2026
% Result : Theorem 7.10s 1.81s
% Output : CNFRefutation 7.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 40 ( 2 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 41 ( 14 ~; 12 |; 5 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_1,axiom,
! [X0,X1,X2] :
( ( object(X2)
& property(X1)
& object(X0) )
=> ( ( X0 = X2
& 'is$uthe'(X0,X1) )
=> 'exemplifies$uproperty'(X1,X2) ) ) ).
fof(description_theorem_2,conjecture,
! [X0] :
( property(X0)
=> ( ? [X1] :
( 'is$uthe'(X1,X0)
& object(X1) )
=> ! [X2] :
( object(X2)
=> ( 'is$uthe'(X2,X0)
=> 'exemplifies$uproperty'(X0,X2) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( property(X0)
=> ( ? [X1] :
( 'is$uthe'(X1,X0)
& object(X1) )
=> ! [X2] :
( object(X2)
=> ( 'is$uthe'(X2,X0)
=> 'exemplifies$uproperty'(X0,X2) ) ) ) ),
inference(negate_conjecture,[status(cth)],[description_theorem_2]) ).
cnf(c5,plain,
( ~ object(X2)
| ~ property(X0)
| ~ 'is$uthe'(X2,X0)
| ~ object(X1)
| X2 != X1
| 'exemplifies$uproperty'(X0,X1) ),
inference(clausification,[status(esa)],[lemma_1]) ).
cnf(c6,plain,
property(sK8),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c9,plain,
object(sK10),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c10,plain,
'is$uthe'(sK10,sK8),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
~ 'exemplifies$uproperty'(sK8,sK10),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'is$uthe'(X1,X0)
| 'exemplifies$uproperty'(X0,X1)
| ~ object(X1)
| ~ object(X1)
| ~ property(X0) ),
inference(equality_resolution,[status(thm)],[c5]) ).
cnf(d1,plain,
( 'exemplifies$uproperty'(sK8,sK10)
| ~ object(sK10)
| ~ property(sK8) ),
inference(resolution,[status(thm)],[d0,c10]) ).
cnf(d2,plain,
( 'exemplifies$uproperty'(sK8,sK10)
| ~ object(sK10) ),
inference(resolution,[status(thm)],[c6,d1]) ).
cnf(d3,plain,
'exemplifies$uproperty'(sK8,sK10),
inference(resolution,[status(thm)],[c9,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c11,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PHI011+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 04:40:53 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.10/1.81 % SZS status Theorem for theBenchmark.p
% 7.10/1.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------