%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN327+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 03:15:45 PM UTC 2026
% Result : Theorem 0.14s 5.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 4 unt; 1 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 78 ( 29 ~; 18 |; 22 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 37 ( 28 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X] :
? [Y] :
! [Z] :
( big_f(Y,X)
=> ( ( big_f(X,Y)
=> ( ~ big_f(X,Z)
=> ( big_f(Z,Y)
& big_f(Y,X) ) ) )
& ( big_f(X,Z)
=> big_f(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [X] :
? [Y] :
! [Z] :
( big_f(Y,X)
=> ( ( big_f(X,Y)
=> ( ~ big_f(X,Z)
=> ( big_f(Z,Y)
& big_f(Y,X) ) ) )
& ( big_f(X,Z)
=> big_f(X,Y) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
! [Y] :
? [Z] :
( ( ( ( ~ big_f(Z,Y)
| ~ big_f(Y,X) )
& ~ big_f(X,Z)
& big_f(X,Y) )
| ( ~ big_f(X,Y)
& big_f(X,Z) ) )
& big_f(Y,X) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [X,Y,Z] :
( sP0_prd(Z,Y,X)
<=> ( ~ big_f(X,Y)
& big_f(X,Z) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,plain,
? [X] :
! [Y] :
? [Z] :
( ( ( ( ~ big_f(Z,Y)
| ~ big_f(Y,X) )
& ~ big_f(X,Z)
& big_f(X,Y) )
| sP0_prd(Z,Y,X) )
& big_f(Y,X) ),
inference(formula_renaming,[status(thm)],[f3,f4]) ).
fof(f6,plain,
? [X] :
( ! [Y] :
( ( ? [Z] :
( ( ~ big_f(Z,Y)
| ~ big_f(Y,X) )
& ~ big_f(X,Z) )
& big_f(X,Y) )
| ? [Z] : sP0_prd(Z,Y,X) )
& ! [Y] : big_f(Y,X) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f7,plain,
( ! [Y] :
( ( ( ~ big_f(sK2_skl(Y),Y)
| ~ big_f(Y,sK0_skl) )
& ~ big_f(sK0_skl,sK2_skl(Y))
& big_f(sK0_skl,Y) )
| sP0_prd(sK1_skl(Y),Y,sK0_skl) )
& ! [Y] : big_f(Y,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(Z,sK1_skl(Y)),skolemize(Z,sK2_skl(Y))],[f6]) ).
fof(f8,plain,
! [X0] : big_f(X0,sK0_skl),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f11,plain,
! [X0] :
( ~ big_f(sK2_skl(X0),X0)
| ~ big_f(X0,sK0_skl)
| sP0_prd(sK1_skl(X0),X0,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f12,plain,
! [X,Y,Z] :
( ( big_f(X,Y)
| ~ big_f(X,Z)
| sP0_prd(Z,Y,X) )
& ( ( ~ big_f(X,Y)
& big_f(X,Z) )
| ~ sP0_prd(Z,Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
( ! [X,Y,Z] :
( big_f(X,Y)
| ~ big_f(X,Z)
| sP0_prd(Z,Y,X) )
& ! [X,Y,Z] :
( ( ~ big_f(X,Y)
& big_f(X,Z) )
| ~ sP0_prd(Z,Y,X) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ~ big_f(X2,X1)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f38,plain,
! [X0] :
( ~ big_f(sK2_skl(X0),X0)
| sP0_prd(sK1_skl(X0),X0,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f11,f8]) ).
fof(f39,plain,
sP0_prd(sK1_skl(sK0_skl),sK0_skl,sK0_skl),
inference(resolution,[status(thm)],[f38,f8]) ).
fof(f44,plain,
~ big_f(sK0_skl,sK0_skl),
inference(resolution,[status(thm)],[f39,f15]) ).
fof(f46,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f44,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN327+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n016.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 10:54:28 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.14/5.40 % Refutation found
% 0.14/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.42 % Elapsed time: 0.045812 seconds
% 0.14/5.42 % CPU time: 0.114003 seconds
% 0.14/5.42 % Total memory used: 16.601 MB
% 0.14/5.42 % Net memory used: 16.067 MB
%------------------------------------------------------------------------------