%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN324+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 : 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 03:19:21 PM UTC 2026
% Result : CounterSatisfiable 0.20s 0.50s
% Output : Saturation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X] :
! [Y] :
( ( big_f(X,Y)
<=> big_f(X,X) )
=> ( big_f(X,Y)
<=> big_f(Y,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X] :
! [Y] :
( ( big_f(X,Y)
<=> big_f(X,X) )
=> ( big_f(X,Y)
<=> big_f(Y,Y) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X] :
? [Y] :
( ( big_f(X,Y)
<~> big_f(Y,Y) )
& ( big_f(X,Y)
<=> big_f(X,X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
! [X] :
? [Y] :
( ( ~ big_f(Y,Y)
| ~ big_f(X,Y) )
& ( big_f(Y,Y)
| big_f(X,Y) )
& ( ~ big_f(X,X)
| big_f(X,Y) )
& ( big_f(X,X)
| ~ big_f(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
! [X] :
( ( ~ big_f(sK0_skl(X),sK0_skl(X))
| ~ big_f(X,sK0_skl(X)) )
& ( big_f(sK0_skl(X),sK0_skl(X))
| big_f(X,sK0_skl(X)) )
& ( ~ big_f(X,X)
| big_f(X,sK0_skl(X)) )
& ( big_f(X,X)
| ~ big_f(X,sK0_skl(X)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f4]) ).
fof(f6,plain,
! [X0] :
( big_f(X0,X0)
| ~ big_f(X0,sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0] :
( ~ big_f(X0,X0)
| big_f(X0,sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0] :
( big_f(sK0_skl(X0),sK0_skl(X0))
| big_f(X0,sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
! [X0] :
( ~ big_f(sK0_skl(X0),sK0_skl(X0))
| ~ big_f(X0,sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
! [X0] :
( big_f(sK0_skl(X0),sK0_skl(sK0_skl(X0)))
| big_f(X0,sK0_skl(X0)) ),
inference(resolution,[status(thm)],[f8,f7]) ).
fof(f11,plain,
! [X0] :
( ~ big_f(sK0_skl(sK0_skl(X0)),sK0_skl(sK0_skl(X0)))
| big_f(X0,sK0_skl(X0)) ),
inference(resolution,[status(thm)],[f10,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN324+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n011.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 10:49:26 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 0.20/0.50 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.20/0.50 % SZS output start Saturation for theBenchmark
% See solution above
% 0.25/0.57 % Elapsed time: 0.089451 seconds
% 0.25/0.57 % CPU time: 0.073252 seconds
% 0.25/0.57 % Total memory used: 514.000 KB
% 0.25/0.57 % Net memory used: 508.080 KB
%------------------------------------------------------------------------------