%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO504+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 : n009.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 1.21s 0.75s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 15 unt; 0 def)
% Number of atoms : 58 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 30 ~; 21 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 79 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : s_e(X,Y,Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z,V,Z2,V2] :
( s_e(Z,V,Z2,V2)
| ~ s_e(X,Y,Z2,V2)
| ~ s_e(X,Y,Z,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Xa,Xb,Xc,Xd] :
( s_e(Xc,Xd,Xa,Xb)
| ~ s_e(Xa,Xb,Xc,Xd) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [Xa,Xb,Xc,Xd] :
( s_e(Xb,Xa,Xc,Xd)
| ~ s_e(Xa,Xb,Xc,Xd) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,axiom,
! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [Xp,Xq,Xa] : s_e(Xp,Xq,s(Xa,Xp),s(Xa,Xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f118,conjecture,
! [Xa,Xb,Xc] :
( s_r(Xc,Xb,Xa)
| ~ s_r(Xa,Xb,Xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f119,negated_conjecture,
~ ! [Xa,Xb,Xc] :
( s_r(Xc,Xb,Xa)
| ~ s_r(Xa,Xb,Xc) ),
inference(negated_conjecture,[status(cth)],[f118]) ).
fof(f130,axiom,
! [Xa,Xb,Xc] :
( ( ~ s_e(Xa,Xc,Xa,s(Xb,Xc))
| s_r(Xa,Xb,Xc) )
& ( s_e(Xa,Xc,Xa,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f133,plain,
! [X0,X1] : s_e(X0,X1,X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f134,plain,
! [Z,V,Z2,V2] :
( s_e(Z,V,Z2,V2)
| ! [X,Y] :
( ~ s_e(X,Y,Z2,V2)
| ~ s_e(X,Y,Z,V) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f297,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f304,plain,
! [X0,X1,X2] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f329,plain,
? [Xa,Xb,Xc] :
( ~ s_r(Xc,Xb,Xa)
& s_r(Xa,Xb,Xc) ),
inference(pre_NNF_transformation,[status(thm)],[f119]) ).
fof(f330,plain,
( ~ s_r(sK2_skl,sK1_skl,sK0_skl)
& s_r(sK0_skl,sK1_skl,sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Xa,sK0_skl),skolemize(Xb,sK1_skl),skolemize(Xc,sK2_skl)],[f329]) ).
fof(f331,plain,
s_r(sK0_skl,sK1_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f332,plain,
~ s_r(sK2_skl,sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f388,plain,
( ! [Xa,Xb,Xc] :
( ~ s_e(Xa,Xc,Xa,s(Xb,Xc))
| s_r(Xa,Xb,Xc) )
& ! [Xa,Xb,Xc] :
( s_e(Xa,Xc,Xa,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ) ),
inference(miniscoping,[status(thm)],[f130]) ).
fof(f389,plain,
! [X0,X1,X2] :
( s_e(X0,X2,X0,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f390,plain,
! [X0,X1,X2] :
( ~ s_e(X0,X2,X0,s(X1,X2))
| s_r(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f415,plain,
~ s_e(sK2_skl,sK0_skl,sK2_skl,s(sK1_skl,sK0_skl)),
inference(resolution,[status(thm)],[f390,f332]) ).
fof(f419,plain,
! [X0,X1] :
( ~ s_e(X0,X1,sK2_skl,s(sK1_skl,sK0_skl))
| ~ s_e(X0,X1,sK2_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f135,f415]) ).
fof(f440,plain,
~ s_e(sK0_skl,sK2_skl,sK2_skl,s(sK1_skl,sK0_skl)),
inference(resolution,[status(thm)],[f419,f133]) ).
fof(f442,plain,
! [X0,X1] :
( ~ s_e(X0,X1,sK2_skl,s(sK1_skl,sK0_skl))
| ~ s_e(X0,X1,sK0_skl,sK2_skl) ),
inference(resolution,[status(thm)],[f440,f135]) ).
fof(f528,plain,
! [X0,X1,X2] :
( ~ s_r(X0,X1,X2)
| s_e(X0,s(X1,X2),X0,X2) ),
inference(resolution,[status(thm)],[f151,f389]) ).
fof(f570,plain,
s_e(sK0_skl,s(sK1_skl,sK2_skl),sK0_skl,sK2_skl),
inference(resolution,[status(thm)],[f528,f331]) ).
fof(f670,plain,
s_e(s(sK1_skl,sK2_skl),sK0_skl,sK0_skl,sK2_skl),
inference(resolution,[status(thm)],[f154,f570]) ).
fof(f692,plain,
~ s_e(s(sK1_skl,sK2_skl),sK0_skl,sK2_skl,s(sK1_skl,sK0_skl)),
inference(resolution,[status(thm)],[f670,f442]) ).
fof(f1372,plain,
! [X0,X1,X2] : s_e(s(X0,X1),X2,X1,s(X0,X2)),
inference(paramodulation,[status(thm)],[f297,f304]) ).
fof(f1377,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f692,f1372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO504+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 16:57:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 1.21/0.75 % Refutation found
% 1.21/0.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.21/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.21/0.79 % Elapsed time: 0.422338 seconds
% 1.21/0.79 % CPU time: 3.072970 seconds
% 1.21/0.79 % Total memory used: 128.925 MB
% 1.21/0.79 % Net memory used: 124.670 MB
%------------------------------------------------------------------------------