TSTP Solution File: SYN334+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:46:33 EDT 2023
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 104 ( 33 ~; 40 |; 14 &)
% ( 8 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 52 (; 46 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X,Y] :
! [Z] :
( ( big_f(X,Y)
=> ( big_f(X,Z)
<=> big_g(Y,Z) ) )
=> ( ( big_f(X,Y)
<=> ( big_f(Z,Z)
=> big_g(Z,Z) ) )
=> ( big_g(X,Y)
<=> big_g(Z,Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( ( big_f(X,Y)
=> ( big_f(X,Z)
<=> big_g(Y,Z) ) )
=> ( ( big_f(X,Y)
<=> ( big_f(Z,Z)
=> big_g(Z,Z) ) )
=> ( big_g(X,Y)
<=> big_g(Z,Z) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X,Y] :
? [Z] :
( ( ~ big_f(X,Y)
| ( big_f(X,Z)
<=> big_g(Y,Z) ) )
& ( big_f(X,Y)
<=> ( ~ big_f(Z,Z)
| big_g(Z,Z) ) )
& ( big_g(X,Y)
<~> big_g(Z,Z) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
! [X,Y] :
? [Z] :
( ( ~ big_f(X,Y)
| ( ( ~ big_f(X,Z)
| big_g(Y,Z) )
& ( big_f(X,Z)
| ~ big_g(Y,Z) ) ) )
& ( ~ big_f(X,Y)
| ~ big_f(Z,Z)
| big_g(Z,Z) )
& ( big_f(X,Y)
| ( big_f(Z,Z)
& ~ big_g(Z,Z) ) )
& ( big_g(X,Y)
| big_g(Z,Z) )
& ( ~ big_g(X,Y)
| ~ big_g(Z,Z) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f5,plain,
! [X,Y] :
( ( ~ big_f(X,Y)
| ( ( ~ big_f(X,sk0_0(Y,X))
| big_g(Y,sk0_0(Y,X)) )
& ( big_f(X,sk0_0(Y,X))
| ~ big_g(Y,sk0_0(Y,X)) ) ) )
& ( ~ big_f(X,Y)
| ~ big_f(sk0_0(Y,X),sk0_0(Y,X))
| big_g(sk0_0(Y,X),sk0_0(Y,X)) )
& ( big_f(X,Y)
| ( big_f(sk0_0(Y,X),sk0_0(Y,X))
& ~ big_g(sk0_0(Y,X),sk0_0(Y,X)) ) )
& ( big_g(X,Y)
| big_g(sk0_0(Y,X),sk0_0(Y,X)) )
& ( ~ big_g(X,Y)
| ~ big_g(sk0_0(Y,X),sk0_0(Y,X)) ) ),
inference(skolemization,[status(esa)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| ~ big_f(X0,sk0_0(X1,X0))
| big_g(X1,sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_f(X0,sk0_0(X1,X0))
| ~ big_g(X1,sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f8,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| ~ big_f(sk0_0(X1,X0),sk0_0(X1,X0))
| big_g(sk0_0(X1,X0),sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_f(sk0_0(X1,X0),sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f10,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_g(sk0_0(X1,X0),sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] :
( big_g(X0,X1)
| big_g(sk0_0(X1,X0),sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0,X1] :
( ~ big_g(X0,X1)
| ~ big_g(sk0_0(X1,X0),sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
! [X0,X1] :
( big_g(X0,X1)
| big_f(X0,X1) ),
inference(resolution,[status(thm)],[f11,f10]) ).
fof(f14,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_g(sk0_0(X1,X0),sk0_0(X1,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f8,f13]) ).
fof(f20,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_f(X0,sk0_0(X1,X0))
| big_f(X1,sk0_0(X1,X0)) ),
inference(resolution,[status(thm)],[f7,f13]) ).
fof(f21,plain,
! [X0,X1] :
( big_f(sk0_0(X0,X1),sk0_0(sk0_0(X0,X1),sk0_0(X0,X1)))
| big_f(sk0_0(X0,X1),sk0_0(sk0_0(X0,X1),sk0_0(X0,X1)))
| big_f(X1,X0) ),
inference(resolution,[status(thm)],[f20,f9]) ).
fof(f22,plain,
! [X0,X1] :
( big_f(sk0_0(X0,X1),sk0_0(sk0_0(X0,X1),sk0_0(X0,X1)))
| big_f(X1,X0) ),
inference(duplicate_literals_removal,[status(esa)],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_f(sk0_0(X1,X0),sk0_0(X1,X0))
| big_g(sk0_0(X1,X0),sk0_0(sk0_0(X1,X0),sk0_0(X1,X0))) ),
inference(resolution,[status(thm)],[f22,f6]) ).
fof(f24,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_g(sk0_0(X1,X0),sk0_0(sk0_0(X1,X0),sk0_0(X1,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f23,f9]) ).
fof(f26,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_g(sk0_0(sk0_0(sk0_0(X1,X0),sk0_0(X1,X0)),sk0_0(X1,X0)),sk0_0(sk0_0(sk0_0(X1,X0),sk0_0(X1,X0)),sk0_0(X1,X0))) ),
inference(resolution,[status(thm)],[f22,f14]) ).
fof(f35,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_g(sk0_0(X1,X0),sk0_0(sk0_0(X1,X0),sk0_0(X1,X0))) ),
inference(resolution,[status(thm)],[f26,f12]) ).
fof(f36,plain,
! [X0,X1] : big_f(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f35,f24]) ).
fof(f41,plain,
! [X0,X1] : big_g(sk0_0(X0,X1),sk0_0(X0,X1)),
inference(backward_subsumption_resolution,[status(thm)],[f14,f36]) ).
fof(f42,plain,
! [X0,X1] : ~ big_g(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f12,f41]) ).
fof(f43,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f41,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n002.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 10:39:43 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.56 % Elapsed time: 0.010978 seconds
% 0.17/0.56 % CPU time: 0.014293 seconds
% 0.17/0.56 % Memory used: 517.620 KB
%------------------------------------------------------------------------------