%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 : 600s
% DateTime : Tue Jul 19 12:38:13 EDT 2022
% Result : Theorem 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 8 ~; 4 |; 13 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 26 ( 0 sgn 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t76_funct_1,conjecture,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B))
& subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ) ).
fof(t89_relat_1,axiom,
! [A,B] :
( relation(B)
=> subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ) ).
fof(t99_relat_1,axiom,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ).
fof(subgoal_0,plain,
! [A,B] :
( ( relation(B)
& function(B) )
=> subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ),
inference(strip,[],[t76_funct_1]) ).
fof(subgoal_1,plain,
! [A,B] :
( ( relation(B)
& function(B)
& subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) )
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
inference(strip,[],[t76_funct_1]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( ( relation(B)
& function(B) )
=> subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B] :
( ~ subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B))
& function(B)
& relation(B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [A,B] :
( ~ relation(B)
| subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ),
inference(canonicalize,[],[t89_relat_1]) ).
fof(normalize_0_2,plain,
! [A,B] :
( ~ relation(B)
| subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
$false,
inference(simplify,[],[normalize_0_0,normalize_0_2]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_3]) ).
fof(negate_1_0,plain,
~ ! [A,B] :
( ( relation(B)
& function(B)
& subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) )
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [A,B] :
( ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
& function(B)
& relation(B)
& subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
! [A,B] :
( ~ relation(B)
| subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
inference(canonicalize,[],[t99_relat_1]) ).
fof(normalize_1_2,plain,
! [A,B] :
( ~ relation(B)
| subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
inference(specialize,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
$false,
inference(simplify,[],[normalize_1_0,normalize_1_2]) ).
cnf(refute_1_0,plain,
$false,
inference(canonicalize,[],[normalize_1_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 22:00:33 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39
% 0.14/0.39 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.39
%------------------------------------------------------------------------------