%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PHI013+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 : 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 : Thu Sep 24 01:58:04 PM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 13 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 175 ( 71 ~; 72 |; 22 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 40 ( 35 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [F] :
( property(F)
=> ( ? [Y] :
( is_the(Y,F)
& object(Y) )
=> ! [Z] :
( object(Z)
=> ( is_the(Z,F)
=> exemplifies_property(F,Z) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,F] :
( is_the(X,F)
=> ( object(X)
& property(F) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( object(X)
=> ( exemplifies_property(none_greater,X)
<=> ( ~ ? [Y] :
( exemplifies_property(conceivable,Y)
& exemplifies_relation(greater_than,Y,X)
& object(Y) )
& exemplifies_property(conceivable,X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( object(X)
=> ( ( ~ exemplifies_property(existence,X)
& is_the(X,none_greater) )
=> ? [Y] :
( exemplifies_property(conceivable,Y)
& exemplifies_relation(greater_than,Y,X)
& object(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[status(cth)],[f9]) ).
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)],[f2]) ).
fof(f18,plain,
! [X0,X1,X2] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2)
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [X,F] :
( ( object(X)
& property(F) )
| ~ is_the(X,F) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f20,plain,
! [X0,X1] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f22,plain,
! [X] :
( ( exemplifies_property(none_greater,X)
<=> ( ! [Y] :
( ~ exemplifies_property(conceivable,Y)
| ~ exemplifies_relation(greater_than,Y,X)
| ~ object(Y) )
& exemplifies_property(conceivable,X) ) )
| ~ object(X) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
! [X] :
( ( ( ? [Y] :
( exemplifies_property(conceivable,Y)
& exemplifies_relation(greater_than,Y,X)
& object(Y) )
| ~ exemplifies_property(conceivable,X)
| exemplifies_property(none_greater,X) )
& ( ( ! [Y] :
( ~ exemplifies_property(conceivable,Y)
| ~ exemplifies_relation(greater_than,Y,X)
| ~ object(Y) )
& exemplifies_property(conceivable,X) )
| ~ exemplifies_property(none_greater,X) ) )
| ~ object(X) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [X] :
( ( ( ( exemplifies_property(conceivable,sK2_skl(X))
& exemplifies_relation(greater_than,sK2_skl(X),X)
& object(sK2_skl(X)) )
| ~ exemplifies_property(conceivable,X)
| exemplifies_property(none_greater,X) )
& ( ( ! [Y] :
( ~ exemplifies_property(conceivable,Y)
| ~ exemplifies_relation(greater_than,Y,X)
| ~ object(Y) )
& exemplifies_property(conceivable,X) )
| ~ exemplifies_property(none_greater,X) ) )
| ~ object(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f23]) ).
fof(f26,plain,
! [X0,X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f38,plain,
! [X] :
( ? [Y] :
( exemplifies_property(conceivable,Y)
& exemplifies_relation(greater_than,Y,X)
& object(Y) )
| exemplifies_property(existence,X)
| ~ is_the(X,none_greater)
| ~ object(X) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f39,plain,
! [X] :
( ( exemplifies_property(conceivable,sK5_skl(X))
& exemplifies_relation(greater_than,sK5_skl(X),X)
& object(sK5_skl(X)) )
| exemplifies_property(existence,X)
| ~ is_the(X,none_greater)
| ~ object(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Y,sK5_skl(X))],[f38]) ).
fof(f40,plain,
! [X0] :
( object(sK5_skl(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
! [X0] :
( exemplifies_relation(greater_than,sK5_skl(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f42,plain,
! [X0] :
( exemplifies_property(conceivable,sK5_skl(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f43,plain,
is_the(god,none_greater),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f44,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f52,plain,
! [X0] :
( exemplifies_property(none_greater,god)
| ~ object(god)
| ~ is_the(X0,none_greater)
| ~ object(X0)
| ~ property(none_greater) ),
inference(resolution,[status(thm)],[f18,f43]) ).
fof(f53,plain,
( exemplifies_property(none_greater,god)
| ~ object(god)
| ~ object(god)
| ~ property(none_greater) ),
inference(resolution,[status(thm)],[f52,f43]) ).
fof(f54,plain,
( exemplifies_property(none_greater,god)
| ~ object(god)
| ~ property(none_greater) ),
inference(duplicate_literals_removal,[status(thm)],[f53]) ).
fof(f60,plain,
property(none_greater),
inference(resolution,[status(thm)],[f20,f43]) ).
fof(f61,plain,
( exemplifies_property(none_greater,god)
| ~ object(god) ),
inference(backward_subsumption_resolution,[status(thm)],[f54,f60]) ).
fof(f62,plain,
object(god),
inference(resolution,[status(thm)],[f21,f43]) ).
fof(f65,plain,
exemplifies_property(none_greater,god),
inference(forward_subsumption_resolution,[status(thm)],[f61,f62]) ).
fof(f102,plain,
! [X0] :
( object(sK5_skl(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[status(thm)],[f40,f21]) ).
fof(f103,plain,
( object(sK5_skl(god))
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[f102,f43]) ).
fof(f104,plain,
object(sK5_skl(god)),
inference(forward_subsumption_resolution,[status(thm)],[f103,f44]) ).
fof(f105,plain,
! [X0] :
( exemplifies_relation(greater_than,sK5_skl(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[status(thm)],[f41,f21]) ).
fof(f106,plain,
( exemplifies_relation(greater_than,sK5_skl(god),god)
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[f105,f43]) ).
fof(f107,plain,
exemplifies_relation(greater_than,sK5_skl(god),god),
inference(forward_subsumption_resolution,[status(thm)],[f106,f44]) ).
fof(f108,plain,
! [X0] :
( exemplifies_property(conceivable,sK5_skl(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f21]) ).
fof(f109,plain,
( exemplifies_property(conceivable,sK5_skl(god))
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[f108,f43]) ).
fof(f110,plain,
exemplifies_property(conceivable,sK5_skl(god)),
inference(forward_subsumption_resolution,[status(thm)],[f109,f44]) ).
fof(f113,plain,
( ~ exemplifies_property(conceivable,sK5_skl(god))
| ~ object(sK5_skl(god))
| ~ exemplifies_property(none_greater,god)
| ~ object(god) ),
inference(resolution,[status(thm)],[f107,f26]) ).
fof(f114,plain,
( ~ exemplifies_property(conceivable,sK5_skl(god))
| ~ object(sK5_skl(god))
| ~ exemplifies_property(none_greater,god) ),
inference(forward_subsumption_resolution,[status(thm)],[f113,f62]) ).
fof(f139,plain,
( ~ exemplifies_property(conceivable,sK5_skl(god))
| ~ object(sK5_skl(god)) ),
inference(forward_subsumption_resolution,[status(thm)],[f114,f65]) ).
fof(f140,plain,
~ object(sK5_skl(god)),
inference(resolution,[status(thm)],[f139,f110]) ).
fof(f141,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f140,f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI013+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.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 03:27:52 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44 % Elapsed time: 0.056936 seconds
% 0.09/0.44 % CPU time: 0.147789 seconds
% 0.09/0.44 % Total memory used: 80.687 MB
% 0.09/0.44 % Net memory used: 80.417 MB
%------------------------------------------------------------------------------