%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PHI012+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 : 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 : Thu Sep 24 01:58:04 PM UTC 2026
% Result : Theorem 0.13s 15.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 4 unt; 3 def)
% Number of atoms : 180 ( 22 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 240 ( 100 ~; 100 |; 27 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 48 ( 40 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,axiom,
! [X,Y] :
( ( object(Y)
& object(X) )
=> ( X = Y
| exemplifies_relation(greater_than,Y,X)
| exemplifies_relation(greater_than,X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
( ? [X] :
( exemplifies_property(none_greater,X)
& object(X) )
=> ? [X] :
( ! [Y] :
( object(Y)
=> ( exemplifies_property(none_greater,Y)
=> Y = X ) )
& exemplifies_property(none_greater,X)
& object(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ( ? [X] :
( exemplifies_property(none_greater,X)
& object(X) )
=> ? [X] :
( ! [Y] :
( object(Y)
=> ( exemplifies_property(none_greater,Y)
=> Y = X ) )
& exemplifies_property(none_greater,X)
& object(X) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,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)],[f1]) ).
fof(f6,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)],[f5]) ).
fof(f7,plain,
! [X] :
( ( ( ( exemplifies_property(conceivable,sK0_skl(X))
& exemplifies_relation(greater_than,sK0_skl(X),X)
& object(sK0_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,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f6]) ).
fof(f8,plain,
! [X0] :
( exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,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)],[f7]) ).
fof(f13,plain,
! [X,Y] :
( X = Y
| exemplifies_relation(greater_than,Y,X)
| exemplifies_relation(greater_than,X,Y)
| ~ object(Y)
| ~ object(X) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
! [X0,X1] :
( X0 = X1
| exemplifies_relation(greater_than,X1,X0)
| exemplifies_relation(greater_than,X0,X1)
| ~ object(X1)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
( ! [X] :
( ? [Y] :
( Y != X
& exemplifies_property(none_greater,Y)
& object(Y) )
| ~ exemplifies_property(none_greater,X)
| ~ object(X) )
& ? [X] :
( exemplifies_property(none_greater,X)
& object(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
( ! [X] :
( ( sK2_skl(X) != X
& exemplifies_property(none_greater,sK2_skl(X))
& object(sK2_skl(X)) )
| ~ exemplifies_property(none_greater,X)
| ~ object(X) )
& exemplifies_property(none_greater,sK1_skl)
& object(sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(X,sK1_skl),skolemize(Y,sK2_skl(X))],[f15]) ).
fof(f17,plain,
object(sK1_skl),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
exemplifies_property(none_greater,sK1_skl),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f19,plain,
! [X0] :
( object(sK2_skl(X0))
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f20,plain,
! [X0] :
( exemplifies_property(none_greater,sK2_skl(X0))
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f21,plain,
! [X0] :
( sK2_skl(X0) != X0
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f22,plain,
( sK2_skl(sK1_skl) != sK1_skl
| ~ exemplifies_property(none_greater,sK1_skl) ),
inference(resolution,[status(thm)],[f21,f17]) ).
fof(f23,definition,
( sQ0_spl
<=> exemplifies_property(none_greater,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f25,plain,
( sQ0_spl
| ~ exemplifies_property(none_greater,sK1_skl) ),
inference(component_clause,[status(thm)],[f23]) ).
fof(f26,definition,
( sQ1_spl
<=> sK2_skl(sK1_skl) = sK1_skl ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f29,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f22,f23,f26]) ).
fof(f30,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25,f18]) ).
fof(f31,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f30]) ).
fof(f69,plain,
! [X0,X1] :
( X0 = X1
| exemplifies_relation(greater_than,X0,X1)
| ~ object(X1)
| ~ object(X0)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(resolution,[status(thm)],[f9,f14]) ).
fof(f70,plain,
! [X0,X1] :
( X0 = X1
| exemplifies_relation(greater_than,X0,X1)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( ~ exemplifies_property(conceivable,X0)
| ~ object(X0)
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1)
| X0 = X1
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(resolution,[status(thm)],[f70,f9]) ).
fof(f72,plain,
! [X0,X1] :
( ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X1)
| X0 = X1
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X1)
| X0 = X1
| ~ object(X1)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f8]) ).
fof(f74,plain,
! [X0,X1] :
( ~ exemplifies_property(none_greater,X1)
| X0 = X1
| ~ object(X1)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f73,f8]) ).
fof(f76,plain,
! [X0] :
( ~ exemplifies_property(none_greater,sK1_skl)
| X0 = sK1_skl
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(resolution,[status(thm)],[f74,f17]) ).
fof(f78,definition,
! [X0] :
( sQ7_spl
<=> ( X0 = sK1_skl
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f79,plain,
! [X0] :
( ~ sQ7_spl
| X0 = sK1_skl
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( ~ sQ0_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f76,f78,f23]) ).
fof(f82,plain,
! [X0] :
( ~ sQ7_spl
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| sK2_skl(X0) = sK1_skl
| ~ exemplifies_property(none_greater,sK2_skl(X0)) ),
inference(resolution,[status(thm)],[f79,f19]) ).
fof(f84,plain,
! [X0] :
( ~ sQ7_spl
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| sK2_skl(X0) = sK1_skl ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f20]) ).
fof(f90,plain,
( ~ sQ7_spl
| ~ exemplifies_property(none_greater,sK1_skl)
| sK2_skl(sK1_skl) = sK1_skl ),
inference(resolution,[status(thm)],[f84,f17]) ).
fof(f92,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f90,f26,f23,f78]) ).
fof(f93,plain,
$false,
inference(sat_refutation,[status(thm)],[f29,f31,f81,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PHI012+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/15.38 % Computer : n003.cluster.edu
% 0.11/15.38 % Model : x86_64 x86_64
% 0.11/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.38 % Memory : 8046.5625MB
% 0.11/15.38 % OS : Linux 6.8.0-71-generic
% 0.11/15.38 % CPULimit : 300
% 0.11/15.38 % WCLimit : 300
% 0.11/15.38 % DateTime : Mon Sep 21 03:32:01 UTC 2026
% 0.11/15.38 % CPUTime :
% 0.11/15.39 % Drodi V4.1.1
% 0.13/15.42 % Refutation found
% 0.13/15.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/15.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/15.45 % Elapsed time: 0.055774 seconds
% 0.13/15.45 % CPU time: 0.161764 seconds
% 0.13/15.45 % Total memory used: 80.770 MB
% 0.13/15.45 % Net memory used: 80.300 MB
%------------------------------------------------------------------------------