%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN331+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 : n003.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 03:15:46 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 55 ( 13 ~; 14 |; 17 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 24 ( 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X,Y] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y,Z)
=> ( ( big_f(X,Y)
<=> big_f(Z,Z) )
=> ( ( big_f(Z,Z)
| big_f(Y,X) )
=> ( big_f(Z,Y)
| big_f(Z,X) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y,Z)
=> ( ( big_f(X,Y)
<=> big_f(Z,Z) )
=> ( ( big_f(Z,Z)
| big_f(Y,X) )
=> ( big_f(Z,Y)
| big_f(Z,X) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X,Y] :
? [Z] :
( ~ big_f(Z,Y)
& ~ big_f(Z,X)
& ( big_f(Z,Z)
| big_f(Y,X) )
& ( big_f(X,Y)
<=> big_f(Z,Z) )
& big_f(Y,Z)
& big_f(X,Z) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
! [X,Y] :
? [Z] :
( ~ big_f(Z,Y)
& ~ big_f(Z,X)
& ( big_f(Z,Z)
| big_f(Y,X) )
& ( ~ big_f(Z,Z)
| big_f(X,Y) )
& ( big_f(Z,Z)
| ~ big_f(X,Y) )
& big_f(Y,Z)
& big_f(X,Z) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
! [X,Y] :
( ~ big_f(sK0_skl(Y,X),Y)
& ~ big_f(sK0_skl(Y,X),X)
& ( big_f(sK0_skl(Y,X),sK0_skl(Y,X))
| big_f(Y,X) )
& ( ~ big_f(sK0_skl(Y,X),sK0_skl(Y,X))
| big_f(X,Y) )
& ( big_f(sK0_skl(Y,X),sK0_skl(Y,X))
| ~ big_f(X,Y) )
& big_f(Y,sK0_skl(Y,X))
& big_f(X,sK0_skl(Y,X)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y,X))],[f4]) ).
fof(f9,plain,
! [X0,X1] :
( ~ big_f(sK0_skl(X1,X0),sK0_skl(X1,X0))
| big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
! [X0,X1] :
( big_f(sK0_skl(X0,X1),sK0_skl(X0,X1))
| big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
! [X0,X1] : ~ big_f(sK0_skl(X0,X1),X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0,X1] :
( big_f(X1,X0)
| big_f(X0,X1) ),
inference(resolution,[status(thm)],[f10,f9]) ).
fof(f15,plain,
! [X0,X1] : big_f(X0,X1),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f25,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f12,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN331+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:51:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.039504 seconds
% 0.09/0.41 % CPU time: 0.110847 seconds
% 0.09/0.41 % Total memory used: 16.549 MB
% 0.09/0.41 % Net memory used: 16.013 MB
%------------------------------------------------------------------------------