%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN386+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:15:57 PM UTC 2026
% Result : Theorem 0.08s 15.40s
% Output : CNFRefutation 0.08s
% 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,
( ( ! [E] :
? [D] :
! [A,B] :
( big_d(A,B,D)
=> ! [Y,Z] :
( ( big_f(B,Z)
& big_f(A,Y) )
=> big_d(Y,Z,E) ) )
& ? [X] :
! [E] :
? [N] :
! [W] :
( big_s(N,W)
=> big_d(W,X,E) )
& ! [X] :
? [Y] : big_f(X,Y) )
=> ? [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,
~ ( ( ! [E] :
? [D] :
! [A,B] :
( big_d(A,B,D)
=> ! [Y,Z] :
( ( big_f(B,Z)
& big_f(A,Y) )
=> big_d(Y,Z,E) ) )
& ? [X] :
! [E] :
? [N] :
! [W] :
( big_s(N,W)
=> big_d(W,X,E) )
& ! [X] :
? [Y] : big_f(X,Y) )
=> ? [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,
( ! [Y] :
? [E] :
! [M] :
? [W] :
( ? [Z] :
( ~ big_d(Z,Y,E)
& big_f(W,Z) )
& big_s(M,W) )
& ! [E] :
? [D] :
! [A,B] :
( ! [Y,Z] :
( big_d(Y,Z,E)
| ~ big_f(B,Z)
| ~ big_f(A,Y) )
| ~ big_d(A,B,D) )
& ? [X] :
! [E] :
? [N] :
! [W] :
( big_d(W,X,E)
| ~ big_s(N,W) )
& ! [X] :
? [Y] : big_f(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [Y,M] :
( ~ big_d(sK6_skl(M,Y),Y,sK4_skl(Y))
& big_f(sK5_skl(M,Y),sK6_skl(M,Y))
& big_s(M,sK5_skl(M,Y)) )
& ! [E,A,B] :
( ! [Y,Z] :
( big_d(Y,Z,E)
| ~ big_f(B,Z)
| ~ big_f(A,Y) )
| ~ big_d(A,B,sK3_skl(E)) )
& ! [E,W] :
( big_d(W,sK1_skl,E)
| ~ big_s(sK2_skl(E),W) )
& ! [X] : big_f(X,sK0_skl(X)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(Y,sK0_skl(X)),skolemize(X,sK1_skl),skolemize(N,sK2_skl(E)),skolemize(D,sK3_skl(E)),skolemize(E,sK4_skl(Y)),skolemize(W,sK5_skl(M,Y)),skolemize(Z,sK6_skl(M,Y))],[f3]) ).
fof(f5,plain,
! [X0] : big_f(X0,sK0_skl(X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( big_d(X1,sK1_skl,X0)
| ~ big_s(sK2_skl(X0),X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4] :
( big_d(X3,X4,X2)
| ~ big_f(X1,X4)
| ~ big_f(X0,X3)
| ~ big_d(X0,X1,sK3_skl(X2)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
! [X0,X1] : big_s(X0,sK5_skl(X0,X1)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
! [X0,X1] : big_f(sK5_skl(X0,X1),sK6_skl(X0,X1)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
! [X0,X1] : ~ big_d(sK6_skl(X0,X1),X1,sK4_skl(X1)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0,X1] : big_d(sK5_skl(sK2_skl(X0),X1),sK1_skl,X0),
inference(resolution,[status(thm)],[f6,f8]) ).
fof(f12,plain,
! [X0,X1,X2,X3] :
( big_d(X2,X3,X0)
| ~ big_f(sK1_skl,X3)
| ~ big_f(sK5_skl(sK2_skl(sK3_skl(X0)),X1),X2) ),
inference(resolution,[status(thm)],[f7,f11]) ).
fof(f13,plain,
! [X0,X1,X2] :
( big_d(X2,sK0_skl(sK1_skl),X0)
| ~ big_f(sK5_skl(sK2_skl(sK3_skl(X0)),X1),X2) ),
inference(resolution,[status(thm)],[f12,f5]) ).
fof(f14,plain,
! [X0,X1] : big_d(sK6_skl(sK2_skl(sK3_skl(X0)),X1),sK0_skl(sK1_skl),X0),
inference(resolution,[status(thm)],[f13,f9]) ).
fof(f16,plain,
$false,
inference(resolution,[status(thm)],[f14,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN386+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/15.37 % Computer : n006.cluster.edu
% 0.08/15.37 % Model : x86_64 x86_64
% 0.08/15.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/15.37 % Memory : 8046.5625MB
% 0.08/15.37 % OS : Linux 6.8.0-71-generic
% 0.08/15.37 % CPULimit : 300
% 0.08/15.37 % WCLimit : 300
% 0.08/15.37 % DateTime : Mon Sep 21 10:52:44 UTC 2026
% 0.08/15.37 % CPUTime :
% 0.08/15.38 % Drodi V4.1.1
% 0.08/15.40 % Refutation found
% 0.08/15.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/15.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/15.42 % Elapsed time: 0.043597 seconds
% 0.13/15.42 % CPU time: 0.128563 seconds
% 0.13/15.42 % Total memory used: 46.836 MB
% 0.13/15.42 % Net memory used: 46.322 MB
%------------------------------------------------------------------------------