%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PHI010+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 0.10s 5.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 141 ( 31 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 175 ( 64 ~; 59 |; 42 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-4 aty)
% Number of variables : 55 ( 48 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,F] :
( is_the(X,F)
=> ( object(X)
& property(F) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [F,X,W] :
( ( object(W)
& object(X)
& property(F) )
=> ( ( X = W
& is_the(X,F) )
<=> ? [Y] :
( Y = W
& ! [Z] :
( object(Z)
=> ( exemplifies_property(F,Z)
=> Z = Y ) )
& exemplifies_property(F,Y)
& object(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,conjecture,
! [X,F,Y] :
( ( object(Y)
& property(F)
& object(X) )
=> ( ( X = Y
& is_the(X,F) )
=> exemplifies_property(F,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ! [X,F,Y] :
( ( object(Y)
& property(F)
& object(X) )
=> ( ( X = Y
& is_the(X,F) )
=> exemplifies_property(F,Y) ) ),
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(f13,plain,
! [X0,X1] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f15,plain,
! [F,X,W] :
( ( ( X = W
& is_the(X,F) )
<=> ? [Y] :
( Y = W
& ! [Z] :
( Z = Y
| ~ exemplifies_property(F,Z)
| ~ object(Z) )
& exemplifies_property(F,Y)
& object(Y) ) )
| ~ object(W)
| ~ object(X)
| ~ property(F) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
! [F,X,W] :
( ( ( ! [Y] :
( Y != W
| ? [Z] :
( Z != Y
& exemplifies_property(F,Z)
& object(Z) )
| ~ exemplifies_property(F,Y)
| ~ object(Y) )
| ( X = W
& is_the(X,F) ) )
& ( ? [Y] :
( Y = W
& ! [Z] :
( Z = Y
| ~ exemplifies_property(F,Z)
| ~ object(Z) )
& exemplifies_property(F,Y)
& object(Y) )
| X != W
| ~ is_the(X,F) ) )
| ~ object(W)
| ~ object(X)
| ~ property(F) ),
inference(NNF_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [F,X,W] :
( ( ( ! [Y] :
( Y != W
| ( sK1_skl(Y,W,X,F) != Y
& exemplifies_property(F,sK1_skl(Y,W,X,F))
& object(sK1_skl(Y,W,X,F)) )
| ~ exemplifies_property(F,Y)
| ~ object(Y) )
| ( X = W
& is_the(X,F) ) )
& ( ( sK0_skl(W,X,F) = W
& ! [Z] :
( Z = sK0_skl(W,X,F)
| ~ exemplifies_property(F,Z)
| ~ object(Z) )
& exemplifies_property(F,sK0_skl(W,X,F))
& object(sK0_skl(W,X,F)) )
| X != W
| ~ is_the(X,F) ) )
| ~ object(W)
| ~ object(X)
| ~ property(F) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(W,X,F)),skolemize(Z,sK1_skl(Y,W,X,F))],[f16]) ).
fof(f19,plain,
! [X0,X1,X2] :
( exemplifies_property(X0,sK0_skl(X2,X1,X0))
| X1 != X2
| ~ is_the(X1,X0)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f21,plain,
! [X0,X1,X2] :
( sK0_skl(X2,X1,X0) = X2
| X1 != X2
| ~ is_the(X1,X0)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f28,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)],[f6]) ).
fof(f29,plain,
( ~ exemplifies_property(sK3_skl,sK4_skl)
& sK2_skl = sK4_skl
& is_the(sK2_skl,sK3_skl)
& object(sK4_skl)
& property(sK3_skl)
& object(sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK2_skl),skolemize(F,sK3_skl),skolemize(Y,sK4_skl)],[f28]) ).
fof(f30,plain,
object(sK2_skl),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f33,plain,
is_the(sK2_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f34,plain,
sK2_skl = sK4_skl,
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f35,plain,
~ exemplifies_property(sK3_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f38,plain,
! [X0,X2] :
( exemplifies_property(X0,sK0_skl(X2,X2,X0))
| ~ is_the(X2,X0)
| ~ object(X2)
| ~ object(X2)
| ~ property(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f19]) ).
fof(f39,plain,
! [X0,X1] :
( exemplifies_property(X0,sK0_skl(X1,X1,X0))
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ property(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f38]) ).
fof(f42,plain,
! [X0,X2] :
( sK0_skl(X2,X2,X0) = X2
| ~ is_the(X2,X0)
| ~ object(X2)
| ~ object(X2)
| ~ property(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f21]) ).
fof(f43,plain,
! [X0,X1] :
( sK0_skl(X1,X1,X0) = X1
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ property(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f42]) ).
fof(f58,plain,
~ exemplifies_property(sK3_skl,sK2_skl),
inference(forward_demodulation,[status(thm)],[f34,f35]) ).
fof(f62,plain,
! [X0,X1] :
( sK0_skl(X0,X0,X1) = X0
| ~ is_the(X0,X1)
| ~ object(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f43,f13]) ).
fof(f63,plain,
( sK0_skl(sK2_skl,sK2_skl,sK3_skl) = sK2_skl
| ~ object(sK2_skl) ),
inference(resolution,[status(thm)],[f62,f33]) ).
fof(f64,plain,
sK0_skl(sK2_skl,sK2_skl,sK3_skl) = sK2_skl,
inference(forward_subsumption_resolution,[status(thm)],[f63,f30]) ).
fof(f68,plain,
! [X0,X1] :
( exemplifies_property(X1,sK0_skl(X0,X0,X1))
| ~ is_the(X0,X1)
| ~ object(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f39,f13]) ).
fof(f69,plain,
( exemplifies_property(sK3_skl,sK0_skl(sK2_skl,sK2_skl,sK3_skl))
| ~ object(sK2_skl) ),
inference(resolution,[status(thm)],[f68,f33]) ).
fof(f70,plain,
exemplifies_property(sK3_skl,sK0_skl(sK2_skl,sK2_skl,sK3_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f69,f30]) ).
fof(f73,plain,
exemplifies_property(sK3_skl,sK2_skl),
inference(forward_demodulation,[status(thm)],[f64,f70]) ).
fof(f74,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f73,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI010+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n026.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 03:32:43 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.10/5.40 % Refutation found
% 0.10/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.42 % Elapsed time: 0.047034 seconds
% 0.14/5.42 % CPU time: 0.136806 seconds
% 0.14/5.42 % Total memory used: 79.502 MB
% 0.14/5.42 % Net memory used: 79.248 MB
%------------------------------------------------------------------------------