%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PHI015+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 : Fri Sep 25 02:30:18 PM UTC 2026
% Result : Theorem 6.02s 1.36s
% Output : Proof 6.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 17 unt; 0 def)
% Number of atoms : 225 ( 23 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 267 ( 104 ~; 106 |; 47 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 70 ( 2 sgn 34 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
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',description_axiom_identity_instance) ).
fof(f4_nnf,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)],[f4]) ).
fof(f4_sk,plain,
! [F,X,W,Z,Y] :
( ( ( Y != W
| ( sk3(F,X,W,Y) != Y
& exemplifies_property(F,sk3(F,X,W,Y))
& object(sk3(F,X,W,Y)) )
| ~ exemplifies_property(F,Y)
| ~ object(Y)
| ( X = W
& is_the(X,F) ) )
& ( ( sk2(F,X,W) = W
& ( Z = sk2(F,X,W)
| ~ exemplifies_property(F,Z)
| ~ object(Z) )
& exemplifies_property(F,sk2(F,X,W))
& object(sk2(F,X,W)) )
| X != W
| ~ is_the(X,F) ) )
| ~ object(W)
| ~ object(X)
| ~ property(F) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2,sk3])],[f4_nnf]) ).
cnf(c18,plain,
( sk2(X0,X1,X2) = X2
| X1 != X2
| ~ is_the(X1,X0)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p157,plain,
( sk2(X0,X1,X1) = X1
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ object(X1)
| ~ property(X0) ),
inference(equality_resolution,[status(thm)],[c18]) ).
cnf(p319,plain,
( sk2(X0,X1,X1) = X1
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ property(X0) ),
inference(factoring,[status(thm)],[p157]) ).
fof(f1,axiom,
! [X,F] :
( exemplifies_property(F,X)
=> ( object(X)
& property(F) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplifier_is_object_and_exemplified_is_property) ).
fof(f1_nnf,plain,
! [X,F] :
( ( object(X)
& property(F) )
| ~ exemplifies_property(F,X) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [F,X] :
( ( object(X)
& property(F) )
| ~ exemplifies_property(F,X) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( property(X1)
| ~ exemplifies_property(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(f7,axiom,
? [X] :
( exemplifies_property(none_greater,X)
& object(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
fof(f7_nnf,plain,
? [X] :
( exemplifies_property(none_greater,X)
& object(X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( exemplifies_property(none_greater,sk5)
& object(sk5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f7_nnf]) ).
cnf(c32,plain,
exemplifies_property(none_greater,sk5),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p39,plain,
property(none_greater),
inference(resolution,[status(thm)],[c1,c32]) ).
cnf(p320,plain,
( sk2(none_greater,X0,X0) = X0
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(resolution,[status(thm)],[p319,p39]) ).
fof(f2,axiom,
! [X,F] :
( is_the(X,F)
=> ( object(X)
& property(F) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f2_nnf,plain,
! [X,F] :
( ( object(X)
& property(F) )
| ~ is_the(X,F) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,F] :
( ( object(X)
& property(F) )
| ~ is_the(X,F) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f9,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_god) ).
fof(f9_nnf,plain,
is_the(god,none_greater),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c36,plain,
is_the(god,none_greater),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(p40,plain,
object(god),
inference(resolution,[status(thm)],[c4,c36]) ).
cnf(p323,plain,
( sk2(none_greater,god,god) = god
| ~ is_the(god,none_greater) ),
inference(resolution,[status(thm)],[p320,p40]) ).
cnf(p328,plain,
sk2(none_greater,god,god) = god,
inference(resolution,[status(thm)],[p323,c36]) ).
cnf(c16,plain,
( exemplifies_property(X0,sk2(X0,X1,X2))
| X1 != X2
| ~ is_the(X1,X0)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p126,plain,
( exemplifies_property(X0,sk2(X0,X1,X1))
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ object(X1)
| ~ property(X0) ),
inference(equality_resolution,[status(thm)],[c16]) ).
cnf(p299,plain,
( exemplifies_property(X0,sk2(X0,X1,X1))
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ property(X0) ),
inference(factoring,[status(thm)],[p126]) ).
cnf(p300,plain,
( exemplifies_property(none_greater,sk2(none_greater,X0,X0))
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(resolution,[status(thm)],[p299,p39]) ).
cnf(p303,plain,
( exemplifies_property(none_greater,sk2(none_greater,god,god))
| ~ is_the(god,none_greater) ),
inference(resolution,[status(thm)],[p300,p40]) ).
cnf(p308,plain,
exemplifies_property(none_greater,sk2(none_greater,god,god)),
inference(resolution,[status(thm)],[p303,c36]) ).
cnf(p330,plain,
exemplifies_property(none_greater,god),
inference(demodulation,[status(thm)],[p328,p308]) ).
fof(f6,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',definition_none_greater) ).
fof(f6_nnf,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)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( ( ( ( exemplifies_property(conceivable,sk4(X))
& exemplifies_relation(greater_than,sk4(X),X)
& object(sk4(X)) )
| ~ exemplifies_property(conceivable,X)
| exemplifies_property(none_greater,X) )
& ( ( ( ~ exemplifies_property(conceivable,Y)
| ~ exemplifies_relation(greater_than,Y,X)
| ~ object(Y) )
& exemplifies_property(conceivable,X) )
| ~ exemplifies_property(none_greater,X) ) )
| ~ object(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f6_nnf]) ).
cnf(c27,plain,
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p108,plain,
( ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_relation(greater_than,X0,god)
| ~ object(X0)
| ~ exemplifies_property(none_greater,god) ),
inference(resolution,[status(thm)],[c27,p40]) ).
cnf(p333,plain,
( ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_relation(greater_than,X0,god)
| ~ object(X0) ),
inference(resolution,[status(thm)],[p330,p108]) ).
fof(f8,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',premise_2) ).
fof(f8_nnf,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(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X] :
( ( exemplifies_property(conceivable,sk6(X))
& exemplifies_relation(greater_than,sk6(X),X)
& object(sk6(X)) )
| exemplifies_property(existence,X)
| ~ is_the(X,none_greater)
| ~ object(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk6])],[f8_nnf]) ).
cnf(c33,plain,
( object(sk6(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p54,plain,
( object(sk6(god))
| exemplifies_property(existence,god)
| ~ is_the(god,none_greater) ),
inference(resolution,[status(thm)],[c33,p40]) ).
cnf(p60,plain,
( object(sk6(god))
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[p54,c36]) ).
fof(f10,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',god_exists) ).
fof(f10_neg,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f10_nnf,plain,
~ exemplifies_property(existence,god),
inference(nnf_transformation,[status(thm)],[f10_neg]) ).
fof(f10_sk,plain,
~ exemplifies_property(existence,god),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c37,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p61,plain,
object(sk6(god)),
inference(resolution,[status(thm)],[p60,c37]) ).
cnf(p410,plain,
( ~ exemplifies_property(conceivable,sk6(god))
| ~ exemplifies_relation(greater_than,sk6(god),god) ),
inference(resolution,[status(thm)],[p333,p61]) ).
cnf(c34,plain,
( exemplifies_relation(greater_than,sk6(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p94,plain,
( exemplifies_relation(greater_than,sk6(god),god)
| exemplifies_property(existence,god)
| ~ is_the(god,none_greater) ),
inference(resolution,[status(thm)],[c34,p40]) ).
cnf(p100,plain,
( exemplifies_relation(greater_than,sk6(god),god)
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[p94,c36]) ).
cnf(p417,plain,
( exemplifies_property(existence,god)
| ~ exemplifies_property(conceivable,sk6(god)) ),
inference(resolution,[status(thm)],[p410,p100]) ).
cnf(c35,plain,
( exemplifies_property(conceivable,sk6(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p76,plain,
( exemplifies_property(conceivable,sk6(god))
| exemplifies_property(existence,god)
| ~ is_the(god,none_greater) ),
inference(resolution,[status(thm)],[c35,p40]) ).
cnf(p78,plain,
( exemplifies_property(conceivable,sk6(god))
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[p76,c36]) ).
cnf(p419,plain,
( exemplifies_property(existence,god)
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[p417,p78]) ).
cnf(p420,plain,
exemplifies_property(existence,god),
inference(factoring,[status(thm)],[p419]) ).
cnf(p421,plain,
$false,
inference(resolution,[status(thm)],[p420,c37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI015+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 06:08:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.02/1.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.02/1.36 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------