%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PHI014+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 : n009.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 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 64 ( 11 unt; 8 def)
% Number of atoms : 207 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 245 ( 102 ~; 103 |; 22 &)
% ( 10 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 9 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 49 ( 44 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,F] :
( is_the(X,F)
=> ( object(X)
& property(F) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,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)],[f1]) ).
fof(f9,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)],[f8]) ).
fof(f10,plain,
! [X,F] :
( ( object(X)
& property(F) )
| ~ is_the(X,F) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0,X1] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f13,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)],[f3]) ).
fof(f14,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)],[f13]) ).
fof(f15,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))],[f14]) ).
fof(f17,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)],[f15]) ).
fof(f21,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)],[f4]) ).
fof(f22,plain,
! [X] :
( ( exemplifies_property(conceivable,sK1_skl(X))
& exemplifies_relation(greater_than,sK1_skl(X),X)
& object(sK1_skl(X)) )
| exemplifies_property(existence,X)
| ~ is_the(X,none_greater)
| ~ object(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f21]) ).
fof(f23,plain,
! [X0] :
( object(sK1_skl(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [X0] :
( exemplifies_relation(greater_than,sK1_skl(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f25,plain,
! [X0] :
( exemplifies_property(conceivable,sK1_skl(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f26,plain,
is_the(god,none_greater),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f27,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f29,plain,
object(god),
inference(resolution,[status(thm)],[f12,f26]) ).
fof(f30,plain,
! [X0] :
( object(sK1_skl(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[status(thm)],[f23,f12]) ).
fof(f31,plain,
! [X0,X1,X2] :
( exemplifies_property(X1,X2)
| ~ is_the(X2,X1)
| ~ object(X2)
| ~ is_the(X0,X1)
| ~ object(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f9,f11]) ).
fof(f32,plain,
! [X0] :
( exemplifies_property(none_greater,god)
| ~ object(god)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(resolution,[status(thm)],[f31,f26]) ).
fof(f34,definition,
! [X0] :
( sQ0_spl
<=> ( ~ is_the(X0,none_greater)
| ~ object(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f35,plain,
! [X0] :
( ~ sQ0_spl
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f37,definition,
( sQ1_spl
<=> object(god) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f39,plain,
( sQ1_spl
| ~ object(god) ),
inference(component_clause,[status(thm)],[f37]) ).
fof(f40,definition,
( sQ2_spl
<=> exemplifies_property(none_greater,god) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f41,plain,
( ~ sQ2_spl
| exemplifies_property(none_greater,god) ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f32,f34,f37,f40]) ).
fof(f51,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f39,f29]) ).
fof(f52,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f51]) ).
fof(f53,plain,
! [X0] :
( ~ sQ0_spl
| ~ is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f12]) ).
fof(f55,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f26,f53]) ).
fof(f56,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f55]) ).
fof(f61,plain,
! [X0] :
( exemplifies_property(conceivable,sK1_skl(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[status(thm)],[f25,f12]) ).
fof(f62,plain,
! [X0] :
( exemplifies_relation(greater_than,sK1_skl(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[status(thm)],[f24,f12]) ).
fof(f63,plain,
! [X0] :
( ~ sQ2_spl
| ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_relation(greater_than,X0,god)
| ~ object(X0)
| ~ object(god) ),
inference(resolution,[status(thm)],[f17,f41]) ).
fof(f65,definition,
! [X0] :
( sQ5_spl
<=> ( ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_relation(greater_than,X0,god)
| ~ object(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f66,plain,
! [X0] :
( ~ sQ5_spl
| ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_relation(greater_than,X0,god)
| ~ object(X0) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,plain,
( ~ sQ2_spl
| sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f63,f37,f65,f40]) ).
fof(f75,plain,
( ~ sQ5_spl
| exemplifies_property(existence,god)
| ~ is_the(god,none_greater)
| ~ exemplifies_property(conceivable,sK1_skl(god))
| ~ object(sK1_skl(god)) ),
inference(resolution,[status(thm)],[f66,f62]) ).
fof(f77,definition,
( sQ7_spl
<=> object(sK1_skl(god)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( sQ7_spl
| ~ object(sK1_skl(god)) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,definition,
( sQ8_spl
<=> exemplifies_property(conceivable,sK1_skl(god)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( sQ8_spl
| ~ exemplifies_property(conceivable,sK1_skl(god)) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,definition,
( sQ9_spl
<=> is_the(god,none_greater) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( sQ9_spl
| ~ is_the(god,none_greater) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,definition,
( sQ10_spl
<=> exemplifies_property(existence,god) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( ~ sQ10_spl
| exemplifies_property(existence,god) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,plain,
( ~ sQ5_spl
| sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f75,f77,f80,f83,f86,f65]) ).
fof(f100,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f87,f27]) ).
fof(f101,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f100]) ).
fof(f102,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f85,f26]) ).
fof(f103,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f102]) ).
fof(f105,plain,
( sQ7_spl
| exemplifies_property(existence,god)
| ~ is_the(god,none_greater) ),
inference(resolution,[status(thm)],[f79,f30]) ).
fof(f106,plain,
( sQ7_spl
| sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f105,f83,f86,f77]) ).
fof(f107,plain,
( sQ8_spl
| exemplifies_property(existence,god)
| ~ is_the(god,none_greater) ),
inference(resolution,[status(thm)],[f82,f61]) ).
fof(f110,plain,
( sQ8_spl
| sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f107,f83,f86,f80]) ).
fof(f122,plain,
$false,
inference(sat_refutation,[status(thm)],[f43,f52,f56,f68,f89,f101,f103,f106,f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI014+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.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 03:29:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.048429 seconds
% 0.14/0.42 % CPU time: 0.121988 seconds
% 0.14/0.42 % Total memory used: 17.065 MB
% 0.14/0.42 % Net memory used: 16.622 MB
%------------------------------------------------------------------------------