%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN330+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 03:19:22 PM UTC 2026
% Result : CounterSatisfiable 0.10s 0.39s
% Output : Saturation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X,Y] :
! [Z] :
( ( big_f(X,Z)
<=> big_f(Z,Y) )
=> ( ( big_f(Z,Y)
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
=> ( big_f(X,Y)
<=> big_f(X,Z) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( ( big_f(X,Z)
<=> big_f(Z,Y) )
=> ( ( big_f(Z,Y)
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
=> ( big_f(X,Y)
<=> big_f(X,Z) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X,Y] :
? [Z] :
( ( big_f(X,Y)
<~> big_f(X,Z) )
& ( big_f(X,Y)
<=> big_f(Y,X) )
& ( big_f(Z,Y)
<=> big_f(Z,Z) )
& ( big_f(X,Z)
<=> big_f(Z,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
! [X,Y] :
? [Z] :
( ( ~ big_f(X,Z)
| ~ big_f(X,Y) )
& ( big_f(X,Z)
| big_f(X,Y) )
& ( ~ big_f(Y,X)
| big_f(X,Y) )
& ( big_f(Y,X)
| ~ big_f(X,Y) )
& ( ~ big_f(Z,Z)
| big_f(Z,Y) )
& ( big_f(Z,Z)
| ~ big_f(Z,Y) )
& ( ~ big_f(Z,Y)
| big_f(X,Z) )
& ( big_f(Z,Y)
| ~ big_f(X,Z) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
! [X,Y] :
( ( ~ big_f(X,sK0_skl(Y,X))
| ~ big_f(X,Y) )
& ( big_f(X,sK0_skl(Y,X))
| big_f(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(sK0_skl(Y,X),Y) )
& ( big_f(sK0_skl(Y,X),sK0_skl(Y,X))
| ~ big_f(sK0_skl(Y,X),Y) )
& ( ~ big_f(sK0_skl(Y,X),Y)
| big_f(X,sK0_skl(Y,X)) )
& ( big_f(sK0_skl(Y,X),Y)
| ~ big_f(X,sK0_skl(Y,X)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y,X))],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( big_f(sK0_skl(X1,X0),X1)
| ~ big_f(X0,sK0_skl(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( ~ big_f(sK0_skl(X1,X0),X1)
| big_f(X0,sK0_skl(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0,X1] :
( big_f(sK0_skl(X0,X1),sK0_skl(X0,X1))
| ~ big_f(sK0_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( ~ big_f(sK0_skl(X0,X1),sK0_skl(X0,X1))
| big_f(sK0_skl(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
! [X0,X1] :
( big_f(X1,X0)
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
! [X0,X1] :
( big_f(X0,sK0_skl(X1,X0))
| big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0,X1] :
( ~ big_f(X0,sK0_skl(X1,X0))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0,X1] :
( big_f(sK0_skl(X1,X0),X1)
| big_f(X0,X1) ),
inference(resolution,[status(thm)],[f12,f6]) ).
fof(f16,plain,
! [X0,X1] :
( big_f(sK0_skl(X1,X0),X0)
| big_f(X0,X1) ),
inference(resolution,[status(thm)],[f12,f10]) ).
fof(f17,plain,
! [X0,X1] :
( big_f(sK0_skl(X1,X0),sK0_skl(X1,X0))
| big_f(X0,X1) ),
inference(resolution,[status(thm)],[f15,f8]) ).
fof(f19,plain,
! [X0,X1] :
( big_f(X1,sK0_skl(X1,X0))
| big_f(X0,X1) ),
inference(resolution,[status(thm)],[f15,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN330+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:47:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.10/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.040038 seconds
% 0.10/0.42 % CPU time: 0.110204 seconds
% 0.10/0.42 % Total memory used: 16.162 MB
% 0.10/0.42 % Net memory used: 15.698 MB
%------------------------------------------------------------------------------