TSTP Solution File: SYN966+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 : Wed May 31 12:48:30 EDT 2023
% Result : Theorem 0.11s 0.27s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 4 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 115 ( 43 ~; 42 |; 17 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 48 (; 40 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X,Y] :
( eq(X,Y)
<=> ! [Z] :
( a_member_of(Z,X)
<=> a_member_of(Z,Y) ) )
=> ! [A,B] :
( eq(A,B)
=> eq(B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ! [X,Y] :
( eq(X,Y)
<=> ! [Z] :
( a_member_of(Z,X)
<=> a_member_of(Z,Y) ) )
=> ! [A,B] :
( eq(A,B)
=> eq(B,A) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X,Y] :
( eq(X,Y)
<=> ! [Z] :
( a_member_of(Z,X)
<=> a_member_of(Z,Y) ) )
& ? [A,B] :
( eq(A,B)
& ~ eq(B,A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
( ! [X,Y] :
( ( ~ eq(X,Y)
| ! [Z] :
( ( ~ a_member_of(Z,X)
| a_member_of(Z,Y) )
& ( a_member_of(Z,X)
| ~ a_member_of(Z,Y) ) ) )
& ( eq(X,Y)
| ? [Z] :
( ( ~ a_member_of(Z,X)
| ~ a_member_of(Z,Y) )
& ( a_member_of(Z,X)
| a_member_of(Z,Y) ) ) ) )
& ? [A,B] :
( eq(A,B)
& ~ eq(B,A) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f5,plain,
( ! [X,Y] :
( ~ eq(X,Y)
| ( ! [Z] :
( ~ a_member_of(Z,X)
| a_member_of(Z,Y) )
& ! [Z] :
( a_member_of(Z,X)
| ~ a_member_of(Z,Y) ) ) )
& ! [X,Y] :
( eq(X,Y)
| ? [Z] :
( ( ~ a_member_of(Z,X)
| ~ a_member_of(Z,Y) )
& ( a_member_of(Z,X)
| a_member_of(Z,Y) ) ) )
& ? [A,B] :
( eq(A,B)
& ~ eq(B,A) ) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f6,plain,
( ! [X,Y] :
( ~ eq(X,Y)
| ( ! [Z] :
( ~ a_member_of(Z,X)
| a_member_of(Z,Y) )
& ! [Z] :
( a_member_of(Z,X)
| ~ a_member_of(Z,Y) ) ) )
& ! [X,Y] :
( eq(X,Y)
| ( ( ~ a_member_of(sk0_0(Y,X),X)
| ~ a_member_of(sk0_0(Y,X),Y) )
& ( a_member_of(sk0_0(Y,X),X)
| a_member_of(sk0_0(Y,X),Y) ) ) )
& eq(sk0_1,sk0_2)
& ~ eq(sk0_2,sk0_1) ),
inference(skolemization,[status(esa)],[f5]) ).
fof(f7,plain,
! [X0,X1,X2] :
( ~ eq(X0,X1)
| ~ a_member_of(X2,X0)
| a_member_of(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ eq(X0,X1)
| a_member_of(X2,X0)
| ~ a_member_of(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f9,plain,
! [X0,X1] :
( eq(X0,X1)
| ~ a_member_of(sk0_0(X1,X0),X0)
| ~ a_member_of(sk0_0(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f10,plain,
! [X0,X1] :
( eq(X0,X1)
| a_member_of(sk0_0(X1,X0),X0)
| a_member_of(sk0_0(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f11,plain,
eq(sk0_1,sk0_2),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f12,plain,
~ eq(sk0_2,sk0_1),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
( spl0_0
<=> a_member_of(sk0_0(sk0_1,sk0_2),sk0_2) ),
introduced(split_symbol_definition) ).
fof(f15,plain,
( ~ a_member_of(sk0_0(sk0_1,sk0_2),sk0_2)
| spl0_0 ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,plain,
( spl0_1
<=> a_member_of(sk0_0(sk0_1,sk0_2),sk0_1) ),
introduced(split_symbol_definition) ).
fof(f18,plain,
( ~ a_member_of(sk0_0(sk0_1,sk0_2),sk0_1)
| spl0_1 ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( ~ a_member_of(sk0_0(sk0_1,sk0_2),sk0_2)
| ~ a_member_of(sk0_0(sk0_1,sk0_2),sk0_1) ),
inference(resolution,[status(thm)],[f9,f12]) ).
fof(f20,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f19,f13,f16]) ).
fof(f22,plain,
! [X0] :
( ~ eq(X0,sk0_2)
| ~ a_member_of(sk0_0(sk0_1,sk0_2),X0)
| spl0_0 ),
inference(resolution,[status(thm)],[f15,f7]) ).
fof(f24,plain,
( ~ a_member_of(sk0_0(sk0_1,sk0_2),sk0_1)
| spl0_0 ),
inference(resolution,[status(thm)],[f22,f11]) ).
fof(f26,plain,
( spl0_2
<=> eq(sk0_2,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f27,plain,
( eq(sk0_2,sk0_1)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f26]) ).
fof(f29,plain,
( eq(sk0_2,sk0_1)
| a_member_of(sk0_0(sk0_1,sk0_2),sk0_2)
| spl0_0 ),
inference(resolution,[status(thm)],[f24,f10]) ).
fof(f30,plain,
( spl0_2
| spl0_0 ),
inference(split_clause,[status(thm)],[f29,f26,f13]) ).
fof(f33,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f27,f12]) ).
fof(f34,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f33]) ).
fof(f37,plain,
! [X0] :
( ~ eq(sk0_1,X0)
| ~ a_member_of(sk0_0(sk0_1,sk0_2),X0)
| spl0_1 ),
inference(resolution,[status(thm)],[f18,f8]) ).
fof(f39,plain,
( ~ a_member_of(sk0_0(sk0_1,sk0_2),sk0_2)
| spl0_1 ),
inference(resolution,[status(thm)],[f37,f11]) ).
fof(f40,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f39,f13,f16]) ).
fof(f42,plain,
$false,
inference(sat_refutation,[status(thm)],[f20,f30,f34,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n016.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 10:53:58 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Drodi V3.5.1
% 0.11/0.27 % Refutation found
% 0.11/0.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.28 % Elapsed time: 0.015133 seconds
% 0.11/0.28 % CPU time: 0.022766 seconds
% 0.11/0.28 % Memory used: 1.833 MB
%------------------------------------------------------------------------------