%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN332+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 : n013.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 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 177 ( 61 ~; 55 |; 33 &)
% ( 14 <=>; 10 =>; 0 <=; 4 <~>)
% Maximal formula depth : 17 ( 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 : 52 ( 46 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X,Y] :
! [Z] :
( ( ( big_f(Y,X)
& big_f(X,Y) )
<~> big_f(X,Z) )
=> ( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( ( big_f(X,Z)
<=> big_f(Y,Z) )
=> ( ( ( big_f(Y,X)
=> big_f(X,Y) )
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
<=> big_f(Z,Y) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( ( ( big_f(Y,X)
& big_f(X,Y) )
<~> big_f(X,Z) )
=> ( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( ( big_f(X,Z)
<=> big_f(Y,Z) )
=> ( ( ( big_f(Y,X)
=> big_f(X,Y) )
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
<=> big_f(Z,Y) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X,Y] :
? [Z] :
( ( ( big_f(X,Y)
<=> big_f(Y,X) )
<~> big_f(Z,Y) )
& ( ( big_f(X,Y)
| ~ big_f(Y,X) )
<=> big_f(Z,Z) )
& ( big_f(X,Z)
<=> big_f(Y,Z) )
& ( big_f(X,Z)
<=> big_f(Z,X) )
& ( ( big_f(Y,X)
& big_f(X,Y) )
<~> big_f(X,Z) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
! [X,Y] :
? [Z] :
( ( ~ big_f(Z,Y)
| ( ( big_f(Y,X)
| big_f(X,Y) )
& ( ~ big_f(Y,X)
| ~ big_f(X,Y) ) ) )
& ( big_f(Z,Y)
| ( ( ~ big_f(Y,X)
| big_f(X,Y) )
& ( big_f(Y,X)
| ~ big_f(X,Y) ) ) )
& ( ~ big_f(Z,Z)
| big_f(X,Y)
| ~ big_f(Y,X) )
& ( big_f(Z,Z)
| ( ~ big_f(X,Y)
& big_f(Y,X) ) )
& ( ~ big_f(Y,Z)
| big_f(X,Z) )
& ( big_f(Y,Z)
| ~ big_f(X,Z) )
& ( ~ big_f(Z,X)
| big_f(X,Z) )
& ( big_f(Z,X)
| ~ big_f(X,Z) )
& ( ~ big_f(X,Z)
| ~ big_f(Y,X)
| ~ big_f(X,Y) )
& ( big_f(X,Z)
| ( big_f(Y,X)
& big_f(X,Y) ) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
! [X,Y] :
( ( ~ big_f(sK0_skl(Y,X),Y)
| ( ( big_f(Y,X)
| big_f(X,Y) )
& ( ~ big_f(Y,X)
| ~ big_f(X,Y) ) ) )
& ( big_f(sK0_skl(Y,X),Y)
| ( ( ~ big_f(Y,X)
| big_f(X,Y) )
& ( big_f(Y,X)
| ~ big_f(X,Y) ) ) )
& ( ~ big_f(sK0_skl(Y,X),sK0_skl(Y,X))
| big_f(X,Y)
| ~ big_f(Y,X) )
& ( big_f(sK0_skl(Y,X),sK0_skl(Y,X))
| ( ~ big_f(X,Y)
& big_f(Y,X) ) )
& ( ~ big_f(Y,sK0_skl(Y,X))
| big_f(X,sK0_skl(Y,X)) )
& ( big_f(Y,sK0_skl(Y,X))
| ~ big_f(X,sK0_skl(Y,X)) )
& ( ~ big_f(sK0_skl(Y,X),X)
| big_f(X,sK0_skl(Y,X)) )
& ( big_f(sK0_skl(Y,X),X)
| ~ big_f(X,sK0_skl(Y,X)) )
& ( ~ big_f(X,sK0_skl(Y,X))
| ~ big_f(Y,X)
| ~ big_f(X,Y) )
& ( big_f(X,sK0_skl(Y,X))
| ( big_f(Y,X)
& big_f(X,Y) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y,X))],[f4]) ).
fof(f7,plain,
! [X0,X1] :
( big_f(X1,sK0_skl(X0,X1))
| big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0,X1] :
( ~ big_f(X0,sK0_skl(X1,X0))
| ~ big_f(X1,X0)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( big_f(sK0_skl(X1,X0),X0)
| ~ big_f(X0,sK0_skl(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,plain,
! [X0,X1] :
( big_f(X1,sK0_skl(X1,X0))
| ~ big_f(X0,sK0_skl(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
! [X0,X1] :
( ~ big_f(X1,sK0_skl(X1,X0))
| big_f(X0,sK0_skl(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0,X1] :
( ~ big_f(sK0_skl(X0,X1),sK0_skl(X0,X1))
| big_f(X1,X0)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f19,plain,
! [X0,X1] :
( ~ big_f(sK0_skl(X1,X0),X1)
| big_f(X1,X0)
| big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f23,plain,
! [X0] :
( ~ big_f(X0,X0)
| ~ big_f(X0,X0)
| ~ big_f(X0,sK0_skl(X0,X0)) ),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f24,plain,
! [X0] :
( ~ big_f(X0,X0)
| ~ big_f(X0,sK0_skl(X0,X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| ~ big_f(X1,X0)
| ~ big_f(X0,sK0_skl(X0,X1)) ),
inference(resolution,[status(thm)],[f12,f8]) ).
fof(f38,plain,
! [X0] :
( ~ big_f(X0,sK0_skl(X0,X0))
| big_f(X0,X0)
| big_f(X0,X0) ),
inference(resolution,[status(thm)],[f19,f9]) ).
fof(f39,plain,
! [X0] :
( ~ big_f(X0,sK0_skl(X0,X0))
| big_f(X0,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0] : ~ big_f(X0,sK0_skl(X0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[f39,f24]) ).
fof(f43,plain,
! [X0] : big_f(X0,X0),
inference(resolution,[status(thm)],[f40,f7]) ).
fof(f45,plain,
! [X0,X1] :
( big_f(X1,X0)
| ~ big_f(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f15,f43]) ).
fof(f46,plain,
! [X0,X1] :
( ~ big_f(sK0_skl(X1,X0),X1)
| big_f(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f19,f45]) ).
fof(f58,plain,
! [X0,X1] :
( ~ big_f(X1,X0)
| ~ big_f(X0,sK0_skl(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f25,f45]) ).
fof(f63,plain,
! [X0,X1] :
( ~ big_f(sK0_skl(X1,X0),X1)
| ~ big_f(X0,X1) ),
inference(resolution,[status(thm)],[f58,f45]) ).
fof(f64,plain,
! [X0,X1] : ~ big_f(sK0_skl(X0,X1),X0),
inference(forward_subsumption_resolution,[status(thm)],[f63,f46]) ).
fof(f65,plain,
! [X0,X1] : ~ big_f(X0,sK0_skl(X0,X1)),
inference(resolution,[status(thm)],[f64,f45]) ).
fof(f66,plain,
! [X0,X1] : ~ big_f(X0,sK0_skl(X1,X0)),
inference(backward_subsumption_resolution,[status(thm)],[f11,f65]) ).
fof(f70,plain,
! [X0,X1] : big_f(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f7,f66]) ).
fof(f74,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f64,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN332+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:49:36 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.036666 seconds
% 0.12/0.40 % CPU time: 0.099805 seconds
% 0.12/0.40 % Total memory used: 9.556 MB
% 0.12/0.40 % Net memory used: 9.330 MB
%------------------------------------------------------------------------------