%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN352+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 : n011.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 03:15:51 PM UTC 2026
% Result : Theorem 0.17s 0.42s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 3 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 115 ( 31 ~; 42 |; 24 &)
% ( 4 <=>; 12 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 34 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( big_f(X1,X2)
=> ( ( big_f(Y1,Y2)
=> ( big_f(Y2,Z)
| big_f(X2,Z) ) )
=> ( ( ( big_f(Y1,Y2)
=> ( big_f(X2,Z)
<=> big_f(Y1,Z) ) )
=> big_f(Z,Z) )
=> ( ( big_f(Y1,Z)
<=> big_f(Y2,Z) )
& big_f(Y1,Y2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( big_f(X1,X2)
=> ( ( big_f(Y1,Y2)
=> ( big_f(Y2,Z)
| big_f(X2,Z) ) )
=> ( ( ( big_f(Y1,Y2)
=> ( big_f(X2,Z)
<=> big_f(Y1,Z) ) )
=> big_f(Z,Z) )
=> ( ( big_f(Y1,Z)
<=> big_f(Y2,Z) )
& big_f(Y1,Y2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X1,X2] :
! [Y1,Y2] :
? [Z] :
( ( ( big_f(Y1,Z)
<~> big_f(Y2,Z) )
| ~ big_f(Y1,Y2) )
& ( big_f(Z,Z)
| ( ( big_f(X2,Z)
<~> big_f(Y1,Z) )
& big_f(Y1,Y2) ) )
& ( big_f(Y2,Z)
| big_f(X2,Z)
| ~ big_f(Y1,Y2) )
& big_f(X1,X2) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
? [X1,X2] :
! [Y1,Y2] :
? [Z] :
( ( ( ( ~ big_f(Y2,Z)
| ~ big_f(Y1,Z) )
& ( big_f(Y2,Z)
| big_f(Y1,Z) ) )
| ~ big_f(Y1,Y2) )
& ( big_f(Z,Z)
| ( ( ~ big_f(Y1,Z)
| ~ big_f(X2,Z) )
& ( big_f(Y1,Z)
| big_f(X2,Z) )
& big_f(Y1,Y2) ) )
& ( big_f(Y2,Z)
| big_f(X2,Z)
| ~ big_f(Y1,Y2) )
& big_f(X1,X2) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
? [X2] :
( ! [Y1,Y2] :
? [Z] :
( ( ( ( ~ big_f(Y2,Z)
| ~ big_f(Y1,Z) )
& ( big_f(Y2,Z)
| big_f(Y1,Z) ) )
| ~ big_f(Y1,Y2) )
& ( big_f(Z,Z)
| ( ( ~ big_f(Y1,Z)
| ~ big_f(X2,Z) )
& ( big_f(Y1,Z)
| big_f(X2,Z) )
& big_f(Y1,Y2) ) )
& ( big_f(Y2,Z)
| big_f(X2,Z)
| ~ big_f(Y1,Y2) ) )
& ? [X1] : big_f(X1,X2) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f6,plain,
( ! [Y1,Y2] :
( ( ( ( ~ big_f(Y2,sK2_skl(Y2,Y1))
| ~ big_f(Y1,sK2_skl(Y2,Y1)) )
& ( big_f(Y2,sK2_skl(Y2,Y1))
| big_f(Y1,sK2_skl(Y2,Y1)) ) )
| ~ big_f(Y1,Y2) )
& ( big_f(sK2_skl(Y2,Y1),sK2_skl(Y2,Y1))
| ( ( ~ big_f(Y1,sK2_skl(Y2,Y1))
| ~ big_f(sK0_skl,sK2_skl(Y2,Y1)) )
& ( big_f(Y1,sK2_skl(Y2,Y1))
| big_f(sK0_skl,sK2_skl(Y2,Y1)) )
& big_f(Y1,Y2) ) )
& ( big_f(Y2,sK2_skl(Y2,Y1))
| big_f(sK0_skl,sK2_skl(Y2,Y1))
| ~ big_f(Y1,Y2) ) )
& big_f(sK1_skl,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X2,sK0_skl),skolemize(X1,sK1_skl),skolemize(Z,sK2_skl(Y2,Y1))],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( big_f(sK2_skl(X1,X0),sK2_skl(X1,X0))
| big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f12,plain,
! [X0,X1] :
( big_f(X1,sK2_skl(X1,X0))
| big_f(X0,sK2_skl(X1,X0))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,plain,
! [X0,X1] :
( ~ big_f(X1,sK2_skl(X1,X0))
| ~ big_f(X0,sK2_skl(X1,X0))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [X0,X1] :
( big_f(X1,X0)
| big_f(sK2_skl(X0,X1),sK2_skl(sK2_skl(X0,X1),sK2_skl(X0,X1)))
| big_f(sK2_skl(X0,X1),sK2_skl(sK2_skl(X0,X1),sK2_skl(X0,X1))) ),
inference(resolution,[status(thm)],[f12,f9]) ).
fof(f16,plain,
! [X0,X1] :
( big_f(X1,X0)
| big_f(sK2_skl(X0,X1),sK2_skl(sK2_skl(X0,X1),sK2_skl(X0,X1))) ),
inference(duplicate_literals_removal,[status(thm)],[f14]) ).
fof(f60,plain,
! [X0,X1] :
( ~ big_f(sK2_skl(X1,X0),sK2_skl(sK2_skl(X1,X0),sK2_skl(X1,X0)))
| ~ big_f(sK2_skl(X1,X0),sK2_skl(X1,X0))
| big_f(X0,X1) ),
inference(resolution,[status(thm)],[f16,f13]) ).
fof(f63,plain,
! [X0,X1] :
( ~ big_f(sK2_skl(X1,X0),sK2_skl(sK2_skl(X1,X0),sK2_skl(X1,X0)))
| big_f(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f60,f9]) ).
fof(f64,plain,
! [X0,X1] :
( ~ big_f(X0,sK2_skl(X1,X0))
| ~ big_f(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f13,f65]) ).
fof(f65,plain,
! [X0,X1] : big_f(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f63,f16]) ).
fof(f66,plain,
! [X0,X1] : ~ big_f(X0,sK2_skl(X1,X0)),
inference(forward_subsumption_resolution,[status(thm)],[f64,f65]) ).
fof(f67,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f66,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN352+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40 % Computer : n011.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 21 10:51:11 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.41 % Drodi V4.1.1
% 0.17/0.42 % Refutation found
% 0.17/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.48 % Elapsed time: 0.073720 seconds
% 0.17/0.48 % CPU time: 0.071708 seconds
% 0.17/0.48 % Total memory used: 2.662 MB
% 0.17/0.48 % Net memory used: 2.611 MB
%------------------------------------------------------------------------------