%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO499+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:25:08 PM UTC 2026
% Result : Theorem 1.41s 0.63s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 25 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 5 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 25 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,axiom,
! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,axiom,
! [Xp,Xq,Xr,Xa] :
( s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))
| ~ s_t(Xp,Xq,Xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,conjecture,
! [Xp,Xq,Xr,Xa] :
( ~ s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))
| s_t(Xp,Xq,Xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f107,negated_conjecture,
~ ! [Xp,Xq,Xr,Xa] :
( ~ s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))
| s_t(Xp,Xq,Xr) ),
inference(negated_conjecture,[status(cth)],[f106]) ).
fof(f282,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f290,plain,
! [Xp,Xq,Xr] :
( ! [Xa] : s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))
| ~ s_t(Xp,Xq,Xr) ),
inference(miniscoping,[status(thm)],[f105]) ).
fof(f291,plain,
! [X0,X1,X2,X3] :
( s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f292,plain,
? [Xp,Xq,Xr,Xa] :
( s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))
& ~ s_t(Xp,Xq,Xr) ),
inference(pre_NNF_transformation,[status(thm)],[f107]) ).
fof(f293,plain,
? [Xp,Xq,Xr] :
( ? [Xa] : s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))
& ~ s_t(Xp,Xq,Xr) ),
inference(miniscoping,[status(thm)],[f292]) ).
fof(f294,plain,
( s_t(s(sK3_skl,sK0_skl),s(sK3_skl,sK1_skl),s(sK3_skl,sK2_skl))
& ~ s_t(sK0_skl,sK1_skl,sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Xp,sK0_skl),skolemize(Xq,sK1_skl),skolemize(Xr,sK2_skl),skolemize(Xa,sK3_skl)],[f293]) ).
fof(f295,plain,
~ s_t(sK0_skl,sK1_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f296,plain,
s_t(s(sK3_skl,sK0_skl),s(sK3_skl,sK1_skl),s(sK3_skl,sK2_skl)),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f672,plain,
! [X0] : s_t(s(X0,s(sK3_skl,sK0_skl)),s(X0,s(sK3_skl,sK1_skl)),s(X0,s(sK3_skl,sK2_skl))),
inference(resolution,[status(thm)],[f291,f296]) ).
fof(f960,plain,
s_t(sK0_skl,s(sK3_skl,s(sK3_skl,sK1_skl)),s(sK3_skl,s(sK3_skl,sK2_skl))),
inference(paramodulation,[status(thm)],[f282,f672]) ).
fof(f966,plain,
s_t(sK0_skl,sK1_skl,s(sK3_skl,s(sK3_skl,sK2_skl))),
inference(forward_demodulation,[status(thm)],[f282,f960]) ).
fof(f967,plain,
s_t(sK0_skl,sK1_skl,sK2_skl),
inference(forward_demodulation,[status(thm)],[f282,f966]) ).
fof(f968,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f967,f295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO499+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.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 : Sun Sep 20 16:55:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 1.41/0.63 % Refutation found
% 1.41/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.41/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.41/0.63 % Elapsed time: 0.257706 seconds
% 1.41/0.63 % CPU time: 1.794216 seconds
% 1.41/0.63 % Total memory used: 118.929 MB
% 1.41/0.63 % Net memory used: 117.376 MB
%------------------------------------------------------------------------------