%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PHI012+1 : TPTP v9.0.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 12:41:29 PM UTC 2025
% Result : Theorem 5.36s 1.02s
% Output : CNFRefutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 105 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 120 ( 51 ~; 50 |; 10 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 5 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_2,plain,
( ? [X] :
( object(X)
& exemplifies_property(none_greater,X) )
=> ? [X] :
( object(X)
& exemplifies_property(none_greater,X)
& ! [Y] :
( object(Y)
=> ( exemplifies_property(none_greater,Y)
=> Y = X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2) ).
fof(lemma_2_negated,plain,
~ ( ? [X] :
( object(X)
& exemplifies_property(none_greater,X) )
=> ? [X] :
( object(X)
& exemplifies_property(none_greater,X)
& ! [Y] :
( object(Y)
=> ( exemplifies_property(none_greater,Y)
=> Y = X ) ) ) ),
inference(negate_conjecture,[status(cth)],[lemma_2]) ).
cnf(6,plain,
object(sK2),
inference(cnf,[status(esa)],[lemma_2_negated]) ).
cnf(l0,plain,
object(sK2),
inference(instantiation,[status(thm)],[6]) ).
fof(connectedness_of_greater_than,plain,
! [X,Y] :
( ( object(X)
& object(Y) )
=> ( exemplifies_relation(greater_than,X,Y)
| exemplifies_relation(greater_than,Y,X)
| X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectedness_of_greater_than) ).
cnf(5,plain,
( ~ object(X0)
| ~ object(X1)
| X0 = X1
| exemplifies_relation(greater_than,X0,X1)
| exemplifies_relation(greater_than,X1,X0) ),
inference(cnf,[status(esa)],[connectedness_of_greater_than]) ).
cnf(l1,plain,
( ~ object(sK3(sK2))
| ~ object(sK2)
| sK3(sK2) = sK2
| exemplifies_relation(greater_than,sK3(sK2),sK2)
| exemplifies_relation(greater_than,sK2,sK3(sK2)) ),
inference(instantiation,[status(thm)],[5]) ).
fof(definition_none_greater,plain,
! [X] :
( object(X)
=> ( exemplifies_property(none_greater,X)
<=> ( exemplifies_property(conceivable,X)
& ~ ? [Y] :
( object(Y)
& exemplifies_relation(greater_than,Y,X)
& exemplifies_property(conceivable,Y) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).
cnf(1,plain,
( ~ object(X0)
| ~ object(X1)
| ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_relation(greater_than,X1,X0) ),
inference(cnf,[status(esa)],[definition_none_greater]) ).
cnf(l4,plain,
( ~ object(sK3(sK2))
| ~ object(sK2)
| ~ exemplifies_property(conceivable,sK2)
| ~ exemplifies_property(none_greater,sK3(sK2))
| ~ exemplifies_relation(greater_than,sK2,sK3(sK2)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(9,plain,
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| exemplifies_property(none_greater,sK3(X0)) ),
inference(cnf,[status(esa)],[lemma_2_negated]) ).
cnf(l222,plain,
( ~ object(sK2)
| ~ exemplifies_property(none_greater,sK2)
| exemplifies_property(none_greater,sK3(sK2)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(7,plain,
exemplifies_property(none_greater,sK2),
inference(cnf,[status(esa)],[lemma_2_negated]) ).
cnf(l223,plain,
exemplifies_property(none_greater,sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l7,plain,
( ~ object(sK2)
| ~ object(sK3(sK2))
| ~ exemplifies_property(conceivable,sK3(sK2))
| ~ exemplifies_property(none_greater,sK2)
| ~ exemplifies_relation(greater_than,sK3(sK2),sK2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l235,plain,
( ~ object(sK2)
| ~ exemplifies_property(none_greater,sK2)
| exemplifies_property(none_greater,sK3(sK2)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(8,plain,
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| object(sK3(X0)) ),
inference(cnf,[status(esa)],[lemma_2_negated]) ).
cnf(l31,plain,
( ~ object(sK2)
| ~ exemplifies_property(none_greater,sK2)
| object(sK3(sK2)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l2,plain,
( ~ object(sK2)
| ~ exemplifies_property(none_greater,sK2)
| object(sK3(sK2)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l6,plain,
exemplifies_property(none_greater,sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(0,plain,
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| exemplifies_property(conceivable,X0) ),
inference(cnf,[status(esa)],[definition_none_greater]) ).
cnf(l13,plain,
( ~ object(sK3(sK2))
| ~ exemplifies_property(none_greater,sK3(sK2))
| exemplifies_property(conceivable,sK3(sK2)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l32,plain,
( ~ object(sK2)
| ~ exemplifies_property(none_greater,sK2)
| exemplifies_property(none_greater,sK3(sK2)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l103,plain,
exemplifies_property(none_greater,sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l60,plain,
( ~ object(sK2)
| ~ exemplifies_property(none_greater,sK2)
| object(sK3(sK2)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l10,plain,
( ~ object(sK2)
| ~ exemplifies_property(none_greater,sK2)
| object(sK3(sK2)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l23,plain,
( ~ object(sK2)
| ~ exemplifies_property(none_greater,sK2)
| exemplifies_property(conceivable,sK2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l90,plain,
exemplifies_property(none_greater,sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l138,plain,
exemplifies_property(none_greater,sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l200,plain,
exemplifies_property(none_greater,sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l242,plain,
exemplifies_property(none_greater,sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l20,plain,
exemplifies_property(none_greater,sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l146,plain,
exemplifies_property(none_greater,sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(10,plain,
( sK3(X0) != X0
| ~ object(X0)
| ~ exemplifies_property(none_greater,X0) ),
inference(cnf,[status(esa)],[lemma_2_negated]) ).
cnf(l331,plain,
( sK3(sK2) != sK2
| ~ object(sK2)
| ~ exemplifies_property(none_greater,sK2) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l222,l223,l7,l235,l31,l2,l6,l13,l32,l103,l60,l10,l23,l90,l138,l200,l242,l20,l146,l331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PHI012+1 : TPTP v9.0.0. Released v7.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 15:00:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.39 % launching worker at depth: 11
% 2.38/0.64 % launching worker at depth: 12
% 5.36/1.02 % SZS status Theorem for theBenchmark
% 5.36/1.02 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------