TSTP Solution File: SYN386+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN386+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:46:42 EDT 2023
% Result : Theorem 0.06s 0.29s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 62 ( 19 ~; 15 |; 16 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 86 (; 67 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X] :
? [Y] : big_f(X,Y)
& ? [X] :
! [E] :
? [N] :
! [W] :
( big_s(N,W)
=> big_d(W,X,E) )
& ! [E] :
? [D] :
! [A,B] :
( big_d(A,B,D)
=> ! [Y,Z] :
( ( big_f(A,Y)
& big_f(B,Z) )
=> big_d(Y,Z,E) ) ) )
=> ? [Y] :
! [E] :
? [M] :
! [W] :
( big_s(M,W)
=> ! [Z] :
( big_f(W,Z)
=> big_d(Z,Y,E) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ! [X] :
? [Y] : big_f(X,Y)
& ? [X] :
! [E] :
? [N] :
! [W] :
( big_s(N,W)
=> big_d(W,X,E) )
& ! [E] :
? [D] :
! [A,B] :
( big_d(A,B,D)
=> ! [Y,Z] :
( ( big_f(A,Y)
& big_f(B,Z) )
=> big_d(Y,Z,E) ) ) )
=> ? [Y] :
! [E] :
? [M] :
! [W] :
( big_s(M,W)
=> ! [Z] :
( big_f(W,Z)
=> big_d(Z,Y,E) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X] :
? [Y] : big_f(X,Y)
& ? [X] :
! [E] :
? [N] :
! [W] :
( ~ big_s(N,W)
| big_d(W,X,E) )
& ! [E] :
? [D] :
! [A,B] :
( ~ big_d(A,B,D)
| ! [Y,Z] :
( ~ big_f(A,Y)
| ~ big_f(B,Z)
| big_d(Y,Z,E) ) )
& ! [Y] :
? [E] :
! [M] :
? [W] :
( big_s(M,W)
& ? [Z] :
( big_f(W,Z)
& ~ big_d(Z,Y,E) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
( ! [X] : big_f(X,sk0_0(X))
& ! [E,W] :
( ~ big_s(sk0_2(E),W)
| big_d(W,sk0_1,E) )
& ! [E,A,B] :
( ~ big_d(A,B,sk0_3(E))
| ! [Y,Z] :
( ~ big_f(A,Y)
| ~ big_f(B,Z)
| big_d(Y,Z,E) ) )
& ! [Y,M] :
( big_s(M,sk0_5(M,Y))
& big_f(sk0_5(M,Y),sk0_6(M,Y))
& ~ big_d(sk0_6(M,Y),Y,sk0_4(Y)) ) ),
inference(skolemization,[status(esa)],[f3]) ).
fof(f5,plain,
! [X0] : big_f(X0,sk0_0(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( ~ big_s(sk0_2(X0),X1)
| big_d(X1,sk0_1,X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_d(X0,X1,sk0_3(X2))
| ~ big_f(X0,X3)
| ~ big_f(X1,X4)
| big_d(X3,X4,X2) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f8,plain,
! [X0,X1] : big_s(X0,sk0_5(X0,X1)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f9,plain,
! [X0,X1] : big_f(sk0_5(X0,X1),sk0_6(X0,X1)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
! [X0,X1] : ~ big_d(sk0_6(X0,X1),X1,sk0_4(X1)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1] : big_d(sk0_5(sk0_2(X0),X1),sk0_1,X0),
inference(resolution,[status(thm)],[f6,f8]) ).
fof(f12,plain,
! [X0,X1,X2,X3] :
( ~ big_f(sk0_5(sk0_2(sk0_3(X0)),X1),X2)
| ~ big_f(sk0_1,X3)
| big_d(X2,X3,X0) ),
inference(resolution,[status(thm)],[f11,f7]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ~ big_f(sk0_1,X0)
| big_d(sk0_6(sk0_2(sk0_3(X1)),X2),X0,X1) ),
inference(resolution,[status(thm)],[f12,f9]) ).
fof(f15,plain,
! [X0,X1] : big_d(sk0_6(sk0_2(sk0_3(X0)),X1),sk0_0(sk0_1),X0),
inference(resolution,[status(thm)],[f13,f5]) ).
fof(f16,plain,
$false,
inference(resolution,[status(thm)],[f15,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN386+1 : TPTP v8.1.2. Released v2.0.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.28 % Computer : n001.cluster.edu
% 0.06/0.28 % Model : x86_64 x86_64
% 0.06/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.28 % Memory : 8042.1875MB
% 0.06/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.28 % CPULimit : 300
% 0.06/0.28 % WCLimit : 300
% 0.06/0.28 % DateTime : Tue May 30 10:53:45 EDT 2023
% 0.06/0.28 % CPUTime :
% 0.06/0.28 % Drodi V3.5.1
% 0.06/0.29 % Refutation found
% 0.06/0.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.50 % Elapsed time: 0.011934 seconds
% 0.10/0.50 % CPU time: 0.018980 seconds
% 0.10/0.50 % Memory used: 7.022 MB
%------------------------------------------------------------------------------