%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PHI013+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 5.48s 1.25s
% Output : Proof 5.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 48 ( 14 unt; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 183 ( 75 ~; 77 |; 22 &)
% ( 1 <=>; 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 : 46 ( 2 sgn 22 !; 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',description_theorem_2) ).
fof(f1_nnf,plain,
! [F] :
( ! [Z] :
( exemplifies_property(F,Z)
| ~ is_the(Z,F)
| ~ object(Z) )
| ! [Y] :
( ~ is_the(Y,F)
| ~ object(Y) )
| ~ property(F) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [F,Y,Z] :
( exemplifies_property(F,Z)
| ~ is_the(Z,F)
| ~ object(Z)
| ~ is_the(Y,F)
| ~ object(Y)
| ~ property(F) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c6,plain,
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2)
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p24,plain,
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ property(X0) ),
inference(factoring,[status(thm)],[c6]) ).
cnf(p39,plain,
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ property(X0) ),
inference(factoring,[status(thm)],[p24]) ).
fof(f7,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).
fof(f7_nnf,plain,
is_the(god,none_greater),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c22,plain,
is_the(god,none_greater),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
fof(f2,axiom,
! [X,F] :
( is_the(X,F)
=> ( object(X)
& property(F) ) ),
file('/export/starexec/sandbox/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(c7,plain,
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p37,plain,
property(none_greater),
inference(resolution,[status(thm)],[c22,c7]) ).
cnf(p61,plain,
( exemplifies_property(none_greater,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(resolution,[status(thm)],[p39,p37]) ).
cnf(c8,plain,
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p38,plain,
object(god),
inference(resolution,[status(thm)],[c22,c8]) ).
cnf(p94,plain,
( exemplifies_property(none_greater,god)
| ~ is_the(god,none_greater) ),
inference(resolution,[status(thm)],[p61,p38]) ).
cnf(p112,plain,
exemplifies_property(none_greater,god),
inference(resolution,[status(thm)],[p94,c22]) ).
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',definition_none_greater) ).
fof(f3_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)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( ( ( ( exemplifies_property(conceivable,sk2(X))
& exemplifies_relation(greater_than,sk2(X),X)
& object(sk2(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,[sk2])],[f3_nnf]) ).
cnf(c10,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)],[f3_sk]) ).
cnf(p53,plain,
( ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_relation(greater_than,X0,god)
| ~ object(X0)
| ~ exemplifies_property(none_greater,god) ),
inference(resolution,[status(thm)],[p38,c10]) ).
cnf(p174,plain,
( ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_relation(greater_than,X0,god)
| ~ object(X0) ),
inference(resolution,[status(thm)],[p112,p53]) ).
fof(f6,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',premise_2) ).
fof(f6_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)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( ( exemplifies_property(conceivable,sk5(X))
& exemplifies_relation(greater_than,sk5(X),X)
& object(sk5(X)) )
| exemplifies_property(existence,X)
| ~ is_the(X,none_greater)
| ~ object(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f6_nnf]) ).
cnf(c19,plain,
( object(sk5(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p57,plain,
( object(sk5(god))
| exemplifies_property(existence,god)
| ~ is_the(god,none_greater) ),
inference(resolution,[status(thm)],[p38,c19]) ).
cnf(p91,plain,
( object(sk5(god))
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[p57,c22]) ).
fof(f8,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).
fof(f8_neg,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f8_nnf,plain,
~ exemplifies_property(existence,god),
inference(nnf_transformation,[status(thm)],[f8_neg]) ).
fof(f8_sk,plain,
~ exemplifies_property(existence,god),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c23,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p111,plain,
object(sk5(god)),
inference(resolution,[status(thm)],[p91,c23]) ).
cnf(p221,plain,
( ~ exemplifies_property(conceivable,sk5(god))
| ~ exemplifies_relation(greater_than,sk5(god),god) ),
inference(resolution,[status(thm)],[p174,p111]) ).
cnf(c20,plain,
( exemplifies_relation(greater_than,sk5(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p58,plain,
( exemplifies_relation(greater_than,sk5(god),god)
| exemplifies_property(existence,god)
| ~ is_the(god,none_greater) ),
inference(resolution,[status(thm)],[p38,c20]) ).
cnf(p92,plain,
( exemplifies_relation(greater_than,sk5(god),god)
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[p58,c22]) ).
cnf(p284,plain,
( exemplifies_property(existence,god)
| ~ exemplifies_property(conceivable,sk5(god)) ),
inference(resolution,[status(thm)],[p221,p92]) ).
cnf(c21,plain,
( exemplifies_property(conceivable,sk5(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p59,plain,
( exemplifies_property(conceivable,sk5(god))
| exemplifies_property(existence,god)
| ~ is_the(god,none_greater) ),
inference(resolution,[status(thm)],[p38,c21]) ).
cnf(p93,plain,
( exemplifies_property(conceivable,sk5(god))
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[p59,c22]) ).
cnf(p354,plain,
( exemplifies_property(existence,god)
| exemplifies_property(existence,god) ),
inference(resolution,[status(thm)],[p284,p93]) ).
cnf(p371,plain,
exemplifies_property(existence,god),
inference(factoring,[status(thm)],[p354]) ).
cnf(p393,plain,
$false,
inference(resolution,[status(thm)],[p371,c23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PHI013+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 06:11:36 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.48/1.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.48/1.25 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------