%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PHI015+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 0.11s 0.41s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 12 unt; 0 def)
% Number of atoms : 216 ( 26 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 273 ( 108 ~; 106 |; 47 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 76 ( 68 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,F] :
( exemplifies_property(F,X)
=> ( object(X)
& property(F) ) ),
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(f5,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(f7,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(f9,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(f10,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f15,plain,
! [X,F] :
( ( object(X)
& property(F) )
| ~ exemplifies_property(F,X) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
! [X0,X1] :
( object(X1)
| ~ exemplifies_property(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f18,plain,
! [X,F] :
( ( object(X)
& property(F) )
| ~ is_the(X,F) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [X0,X1] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f34,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)],[f5]) ).
fof(f35,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)],[f34]) ).
fof(f36,plain,
! [F,X,W] :
( ( ( ! [Y] :
( Y != W
| ( sK3_skl(Y,W,X,F) != Y
& exemplifies_property(F,sK3_skl(Y,W,X,F))
& object(sK3_skl(Y,W,X,F)) )
| ~ exemplifies_property(F,Y)
| ~ object(Y) )
| ( X = W
& is_the(X,F) ) )
& ( ( sK2_skl(W,X,F) = W
& ! [Z] :
( Z = sK2_skl(W,X,F)
| ~ exemplifies_property(F,Z)
| ~ object(Z) )
& exemplifies_property(F,sK2_skl(W,X,F))
& object(sK2_skl(W,X,F)) )
| X != W
| ~ is_the(X,F) ) )
| ~ object(W)
| ~ object(X)
| ~ property(F) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(Y,sK2_skl(W,X,F)),skolemize(Z,sK3_skl(Y,W,X,F))],[f35]) ).
fof(f38,plain,
! [X0,X1,X2] :
( exemplifies_property(X0,sK2_skl(X2,X1,X0))
| X1 != X2
| ~ is_the(X1,X0)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f40,plain,
! [X0,X1,X2] :
( sK2_skl(X2,X1,X0) = X2
| X1 != X2
| ~ is_the(X1,X0)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f49,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)],[f7]) ).
fof(f50,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)],[f49]) ).
fof(f51,plain,
! [X] :
( ( ( ( exemplifies_property(conceivable,sK4_skl(X))
& exemplifies_relation(greater_than,sK4_skl(X),X)
& object(sK4_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,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f50]) ).
fof(f53,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)],[f51]) ).
fof(f60,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)],[f9]) ).
fof(f61,plain,
! [X] :
( ( exemplifies_property(conceivable,sK6_skl(X))
& exemplifies_relation(greater_than,sK6_skl(X),X)
& object(sK6_skl(X)) )
| exemplifies_property(existence,X)
| ~ is_the(X,none_greater)
| ~ object(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(Y,sK6_skl(X))],[f60]) ).
fof(f63,plain,
! [X0] :
( exemplifies_relation(greater_than,sK6_skl(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f64,plain,
! [X0] :
( exemplifies_property(conceivable,sK6_skl(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f65,plain,
is_the(god,none_greater),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f66,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f69,plain,
! [X0,X2] :
( exemplifies_property(X0,sK2_skl(X2,X2,X0))
| ~ is_the(X2,X0)
| ~ object(X2)
| ~ object(X2)
| ~ property(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f38]) ).
fof(f70,plain,
! [X0,X1] :
( exemplifies_property(X0,sK2_skl(X1,X1,X0))
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ property(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f69]) ).
fof(f73,plain,
! [X0,X2] :
( sK2_skl(X2,X2,X0) = X2
| ~ is_the(X2,X0)
| ~ object(X2)
| ~ object(X2)
| ~ property(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f40]) ).
fof(f74,plain,
! [X0,X1] :
( sK2_skl(X1,X1,X0) = X1
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ property(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f73]) ).
fof(f91,plain,
object(god),
inference(resolution,[status(thm)],[f20,f65]) ).
fof(f97,plain,
! [X0,X1] :
( sK2_skl(X0,X0,X1) = X0
| ~ is_the(X0,X1)
| ~ object(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f74,f19]) ).
fof(f98,plain,
( sK2_skl(god,god,none_greater) = god
| ~ object(god) ),
inference(resolution,[status(thm)],[f97,f65]) ).
fof(f99,plain,
sK2_skl(god,god,none_greater) = god,
inference(forward_subsumption_resolution,[status(thm)],[f98,f91]) ).
fof(f106,plain,
! [X0,X1] :
( exemplifies_property(X1,sK2_skl(X0,X0,X1))
| ~ is_the(X0,X1)
| ~ object(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f70,f19]) ).
fof(f107,plain,
( exemplifies_property(none_greater,sK2_skl(god,god,none_greater))
| ~ object(god) ),
inference(resolution,[status(thm)],[f106,f65]) ).
fof(f108,plain,
( exemplifies_property(none_greater,god)
| ~ object(god) ),
inference(forward_demodulation,[status(thm)],[f99,f107]) ).
fof(f109,plain,
exemplifies_property(none_greater,god),
inference(forward_subsumption_resolution,[status(thm)],[f108,f91]) ).
fof(f134,plain,
! [X0] :
( exemplifies_property(conceivable,sK6_skl(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f20]) ).
fof(f135,plain,
( exemplifies_property(conceivable,sK6_skl(god))
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[f134,f65]) ).
fof(f136,plain,
exemplifies_property(conceivable,sK6_skl(god)),
inference(forward_subsumption_resolution,[status(thm)],[f135,f66]) ).
fof(f257,plain,
! [X0] :
( exemplifies_relation(greater_than,sK6_skl(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[status(thm)],[f63,f20]) ).
fof(f258,plain,
( exemplifies_relation(greater_than,sK6_skl(god),god)
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[f257,f65]) ).
fof(f259,plain,
exemplifies_relation(greater_than,sK6_skl(god),god),
inference(forward_subsumption_resolution,[status(thm)],[f258,f66]) ).
fof(f279,plain,
! [X0,X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1)
| ~ exemplifies_property(none_greater,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f53,f17]) ).
fof(f280,plain,
( ~ exemplifies_property(conceivable,sK6_skl(god))
| ~ object(sK6_skl(god))
| ~ exemplifies_property(none_greater,god) ),
inference(resolution,[status(thm)],[f279,f259]) ).
fof(f281,plain,
( ~ exemplifies_property(conceivable,sK6_skl(god))
| ~ object(sK6_skl(god)) ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f109]) ).
fof(f283,plain,
~ exemplifies_property(conceivable,sK6_skl(god)),
inference(forward_subsumption_resolution,[status(thm)],[f281,f17]) ).
fof(f284,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f136,f283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI015+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 03:28:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.45 % Elapsed time: 0.061404 seconds
% 0.11/0.45 % CPU time: 0.221233 seconds
% 0.11/0.45 % Total memory used: 82.361 MB
% 0.11/0.45 % Net memory used: 82.105 MB
%------------------------------------------------------------------------------