TSTP Solution File: SYN332+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN332+1 : TPTP v8.1.2. Released v2.0.0.
% 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 12:46:32 EDT 2023
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 168 ( 54 ~; 53 |; 33 &)
% ( 14 <=>; 10 =>; 0 <=; 4 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 45 (; 39 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X,Y] :
! [Z] :
( ( ( big_f(X,Y)
& big_f(Y,X) )
<~> big_f(X,Z) )
=> ( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( ( big_f(X,Z)
<=> big_f(Y,Z) )
=> ( ( ( big_f(Y,X)
=> big_f(X,Y) )
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
<=> big_f(Z,Y) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( ( ( big_f(X,Y)
& big_f(Y,X) )
<~> big_f(X,Z) )
=> ( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( ( big_f(X,Z)
<=> big_f(Y,Z) )
=> ( ( ( big_f(Y,X)
=> big_f(X,Y) )
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
<=> big_f(Z,Y) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X,Y] :
? [Z] :
( ( ( big_f(X,Y)
& big_f(Y,X) )
<~> big_f(X,Z) )
& ( big_f(X,Z)
<=> big_f(Z,X) )
& ( big_f(X,Z)
<=> big_f(Y,Z) )
& ( ( ~ big_f(Y,X)
| big_f(X,Y) )
<=> big_f(Z,Z) )
& ( ( big_f(X,Y)
<=> big_f(Y,X) )
<~> big_f(Z,Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
! [X,Y] :
? [Z] :
( ( ( big_f(X,Y)
& big_f(Y,X) )
| big_f(X,Z) )
& ( ~ big_f(X,Y)
| ~ big_f(Y,X)
| ~ big_f(X,Z) )
& ( ~ big_f(X,Z)
| big_f(Z,X) )
& ( big_f(X,Z)
| ~ big_f(Z,X) )
& ( ~ big_f(X,Z)
| big_f(Y,Z) )
& ( big_f(X,Z)
| ~ big_f(Y,Z) )
& ( ( big_f(Y,X)
& ~ big_f(X,Y) )
| big_f(Z,Z) )
& ( ~ big_f(Y,X)
| big_f(X,Y)
| ~ big_f(Z,Z) )
& ( ( ( ~ big_f(X,Y)
| big_f(Y,X) )
& ( big_f(X,Y)
| ~ big_f(Y,X) ) )
| big_f(Z,Y) )
& ( ( ( ~ big_f(X,Y)
| ~ big_f(Y,X) )
& ( big_f(X,Y)
| big_f(Y,X) ) )
| ~ big_f(Z,Y) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f5,plain,
! [X,Y] :
( ( ( big_f(X,Y)
& big_f(Y,X) )
| big_f(X,sk0_0(Y,X)) )
& ( ~ big_f(X,Y)
| ~ big_f(Y,X)
| ~ big_f(X,sk0_0(Y,X)) )
& ( ~ big_f(X,sk0_0(Y,X))
| big_f(sk0_0(Y,X),X) )
& ( big_f(X,sk0_0(Y,X))
| ~ big_f(sk0_0(Y,X),X) )
& ( ~ big_f(X,sk0_0(Y,X))
| big_f(Y,sk0_0(Y,X)) )
& ( big_f(X,sk0_0(Y,X))
| ~ big_f(Y,sk0_0(Y,X)) )
& ( ( big_f(Y,X)
& ~ big_f(X,Y) )
| big_f(sk0_0(Y,X),sk0_0(Y,X)) )
& ( ~ big_f(Y,X)
| big_f(X,Y)
| ~ big_f(sk0_0(Y,X),sk0_0(Y,X)) )
& ( ( ( ~ big_f(X,Y)
| big_f(Y,X) )
& ( big_f(X,Y)
| ~ big_f(Y,X) ) )
| big_f(sk0_0(Y,X),Y) )
& ( ( ( ~ big_f(X,Y)
| ~ big_f(Y,X) )
& ( big_f(X,Y)
| big_f(Y,X) ) )
| ~ big_f(sk0_0(Y,X),Y) ) ),
inference(skolemization,[status(esa)],[f4]) ).
fof(f7,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_f(X1,sk0_0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f8,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X0,sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( ~ big_f(X0,sk0_0(X1,X0))
| big_f(sk0_0(X1,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f10,plain,
! [X0,X1] :
( big_f(X0,sk0_0(X1,X0))
| ~ big_f(sk0_0(X1,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] :
( ~ big_f(X0,sk0_0(X1,X0))
| big_f(X1,sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_f(X1,X0)
| ~ big_f(sk0_0(X0,X1),sk0_0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f19,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_f(X1,X0)
| ~ big_f(sk0_0(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0] :
( ~ big_f(X0,X0)
| ~ big_f(X0,X0)
| ~ big_f(X0,sk0_0(X0,X0)) ),
inference(resolution,[status(thm)],[f8,f11]) ).
fof(f21,plain,
! [X0] :
( ~ big_f(X0,X0)
| ~ big_f(X0,sk0_0(X0,X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f20]) ).
fof(f28,plain,
! [X0] :
( big_f(X0,X0)
| big_f(X0,X0)
| ~ big_f(X0,sk0_0(X0,X0)) ),
inference(resolution,[status(thm)],[f19,f9]) ).
fof(f29,plain,
! [X0] :
( big_f(X0,X0)
| ~ big_f(X0,sk0_0(X0,X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f28]) ).
fof(f30,plain,
! [X0] : ~ big_f(X0,sk0_0(X0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[f29,f21]) ).
fof(f33,plain,
! [X0] : ~ big_f(sk0_0(X0,X0),X0),
inference(resolution,[status(thm)],[f30,f10]) ).
fof(f34,plain,
! [X0] : big_f(X0,X0),
inference(resolution,[status(thm)],[f30,f7]) ).
fof(f36,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_f(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f15,f34]) ).
fof(f37,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_f(sk0_0(X0,X1),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f19,f36]) ).
fof(f43,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_f(X0,sk0_0(X0,X1)) ),
inference(resolution,[status(thm)],[f37,f36]) ).
fof(f55,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_f(X1,sk0_0(X0,X1)) ),
inference(resolution,[status(thm)],[f43,f11]) ).
fof(f56,plain,
! [X0,X1] : big_f(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f55,f7]) ).
fof(f57,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f33,f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : SYN332+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 10:56:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.017604 seconds
% 0.13/0.38 % CPU time: 0.034320 seconds
% 0.13/0.38 % Memory used: 1.904 MB
%------------------------------------------------------------------------------