%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PHI011+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 : Thu Sep 24 01:58:04 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 69 ( 3 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 76 ( 26 ~; 22 |; 17 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 25 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,F] :
( is_the(X,F)
=> ( object(X)
& property(F) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,F,Y] :
( ( object(Y)
& property(F)
& object(X) )
=> ( ( X = Y
& is_the(X,F) )
=> exemplifies_property(F,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,conjecture,
! [F] :
( property(F)
=> ( ? [Y] :
( is_the(Y,F)
& object(Y) )
=> ! [Z] :
( object(Z)
=> ( is_the(Z,F)
=> exemplifies_property(F,Z) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ! [F] :
( property(F)
=> ( ? [Y] :
( is_the(Y,F)
& object(Y) )
=> ! [Z] :
( object(Z)
=> ( is_the(Z,F)
=> exemplifies_property(F,Z) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f12,plain,
! [X,F] :
( ( object(X)
& property(F) )
| ~ is_the(X,F) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f15,plain,
! [X,F,Y] :
( exemplifies_property(F,Y)
| X != Y
| ~ is_the(X,F)
| ~ object(Y)
| ~ property(F)
| ~ object(X) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
! [X0,X1,X2] :
( exemplifies_property(X1,X2)
| X0 != X2
| ~ is_the(X0,X1)
| ~ object(X2)
| ~ property(X1)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
? [F] :
( ? [Z] :
( ~ exemplifies_property(F,Z)
& is_the(Z,F)
& object(Z) )
& ? [Y] :
( is_the(Y,F)
& object(Y) )
& property(F) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f18,plain,
( ~ exemplifies_property(sK0_skl,sK2_skl)
& is_the(sK2_skl,sK0_skl)
& object(sK2_skl)
& is_the(sK1_skl,sK0_skl)
& object(sK1_skl)
& property(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(F,sK0_skl),skolemize(Y,sK1_skl),skolemize(Z,sK2_skl)],[f17]) ).
fof(f19,plain,
property(sK0_skl),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f23,plain,
is_the(sK2_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f24,plain,
~ exemplifies_property(sK0_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f25,plain,
! [X2,X1] :
( exemplifies_property(X1,X2)
| ~ is_the(X2,X1)
| ~ object(X2)
| ~ property(X1)
| ~ object(X2) ),
inference(destructive_equality_resolution,[status(thm)],[f16]) ).
fof(f26,plain,
! [X0,X1] :
( exemplifies_property(X1,X0)
| ~ is_the(X0,X1)
| ~ property(X1)
| ~ object(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f25]) ).
fof(f33,plain,
! [X0,X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ property(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f26,f14]) ).
fof(f34,plain,
( exemplifies_property(sK0_skl,sK2_skl)
| ~ property(sK0_skl) ),
inference(resolution,[status(thm)],[f33,f23]) ).
fof(f36,plain,
exemplifies_property(sK0_skl,sK2_skl),
inference(forward_subsumption_resolution,[status(thm)],[f34,f19]) ).
fof(f38,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f36,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PHI011+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:30:56 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.048105 seconds
% 0.09/0.42 % CPU time: 0.150600 seconds
% 0.09/0.42 % Total memory used: 44.093 MB
% 0.09/0.42 % Net memory used: 43.574 MB
%------------------------------------------------------------------------------