%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC069+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 02:39:50 PM UTC 2026
% Result : Theorem 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 38 ( 10 unt; 0 def)
% Number of atoms : 150 ( 44 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 185 ( 73 ~; 61 |; 37 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 28 ( 21 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( neq(U,V)
<=> U != V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( neq(X,nil)
& ! [Z] :
( ssList(Z)
=> ( ~ segmentP(W,Z)
| ~ segmentP(X,Z)
| ~ neq(Z,nil) ) ) )
| ( nil = U
& nil = V )
| ( nil = X
& nil != W )
| ? [Y] :
( segmentP(U,Y)
& segmentP(V,Y)
& neq(Y,nil)
& ssList(Y) )
| U != W
| V != X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( neq(X,nil)
& ! [Z] :
( ssList(Z)
=> ( ~ segmentP(W,Z)
| ~ segmentP(X,Z)
| ~ neq(Z,nil) ) ) )
| ( nil = U
& nil = V )
| ( nil = X
& nil != W )
| ? [Y] :
( segmentP(U,Y)
& segmentP(V,Y)
& neq(Y,nil)
& ssList(Y) )
| U != W
| V != X ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f217,plain,
! [U] :
( ! [V] :
( ( neq(U,V)
<=> U != V )
| ~ ssList(V) )
| ~ ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f218,plain,
! [U] :
( ! [V] :
( ( ( U = V
| neq(U,V) )
& ( U != V
| ~ neq(U,V) ) )
| ~ ssList(V) )
| ~ ssList(U) ),
inference(NNF_transformation,[status(thm)],[f217]) ).
fof(f220,plain,
! [X0,X1] :
( X0 = X1
| neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f218]) ).
fof(f223,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f415,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ~ neq(X,nil)
| ? [Z] :
( segmentP(W,Z)
& segmentP(X,Z)
& neq(Z,nil)
& ssList(Z) ) )
& ( nil != U
| nil != V )
& ( nil != X
| nil = W )
& ! [Y] :
( ~ segmentP(U,Y)
| ~ segmentP(V,Y)
| ~ neq(Y,nil)
| ~ ssList(Y) )
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f416,plain,
( ( ~ neq(sK50_skl,nil)
| ( segmentP(sK49_skl,sK51_skl)
& segmentP(sK50_skl,sK51_skl)
& neq(sK51_skl,nil)
& ssList(sK51_skl) ) )
& ( nil != sK47_skl
| nil != sK48_skl )
& ( nil != sK50_skl
| nil = sK49_skl )
& ! [Y] :
( ~ segmentP(sK47_skl,Y)
| ~ segmentP(sK48_skl,Y)
| ~ neq(Y,nil)
| ~ ssList(Y) )
& sK47_skl = sK49_skl
& sK48_skl = sK50_skl
& ssList(sK50_skl)
& ssList(sK49_skl)
& ssList(sK48_skl)
& ssList(sK47_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Z,sK51_skl)],[f415]) ).
fof(f418,plain,
ssList(sK48_skl),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f421,plain,
sK48_skl = sK50_skl,
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,plain,
sK47_skl = sK49_skl,
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f423,plain,
! [X0] :
( ~ segmentP(sK47_skl,X0)
| ~ segmentP(sK48_skl,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f424,plain,
( nil != sK50_skl
| nil = sK49_skl ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f425,plain,
( nil != sK47_skl
| nil != sK48_skl ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f426,plain,
( ~ neq(sK50_skl,nil)
| ssList(sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f427,plain,
( ~ neq(sK50_skl,nil)
| neq(sK51_skl,nil) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f428,plain,
( ~ neq(sK50_skl,nil)
| segmentP(sK50_skl,sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f429,plain,
( ~ neq(sK50_skl,nil)
| segmentP(sK49_skl,sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f466,plain,
( nil != sK50_skl
| nil = sK47_skl ),
inference(forward_demodulation,[status(thm)],[f422,f424]) ).
fof(f467,plain,
( nil != sK48_skl
| nil = sK47_skl ),
inference(forward_demodulation,[status(thm)],[f421,f466]) ).
fof(f468,plain,
nil != sK48_skl,
inference(forward_subsumption_resolution,[status(thm)],[f425,f467]) ).
fof(f478,plain,
( ~ neq(sK48_skl,nil)
| ssList(sK51_skl) ),
inference(forward_demodulation,[status(thm)],[f421,f426]) ).
fof(f479,plain,
( ~ neq(sK48_skl,nil)
| neq(sK51_skl,nil) ),
inference(forward_demodulation,[status(thm)],[f421,f427]) ).
fof(f480,plain,
( ~ neq(sK50_skl,nil)
| segmentP(sK48_skl,sK51_skl) ),
inference(forward_demodulation,[status(thm)],[f421,f428]) ).
fof(f481,plain,
( ~ neq(sK48_skl,nil)
| segmentP(sK48_skl,sK51_skl) ),
inference(forward_demodulation,[status(thm)],[f421,f480]) ).
fof(f482,plain,
( ~ segmentP(sK47_skl,sK51_skl)
| ~ neq(sK51_skl,nil)
| ~ ssList(sK51_skl)
| ~ neq(sK48_skl,nil) ),
inference(resolution,[status(thm)],[f481,f423]) ).
fof(f483,plain,
( ~ segmentP(sK47_skl,sK51_skl)
| ~ neq(sK51_skl,nil)
| ~ neq(sK48_skl,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f478]) ).
fof(f518,plain,
( ~ neq(sK50_skl,nil)
| segmentP(sK47_skl,sK51_skl) ),
inference(forward_demodulation,[status(thm)],[f422,f429]) ).
fof(f519,plain,
( ~ neq(sK48_skl,nil)
| segmentP(sK47_skl,sK51_skl) ),
inference(forward_demodulation,[status(thm)],[f421,f518]) ).
fof(f542,plain,
~ neq(sK48_skl,nil),
inference(backward_subsumption_resolution,[status(thm)],[f519,f543]) ).
fof(f543,plain,
( ~ segmentP(sK47_skl,sK51_skl)
| ~ neq(sK48_skl,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f483,f479]) ).
fof(f546,plain,
( sK48_skl = nil
| ~ ssList(nil)
| ~ ssList(sK48_skl) ),
inference(resolution,[status(thm)],[f542,f220]) ).
fof(f547,plain,
( sK48_skl = nil
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f418]) ).
fof(f568,plain,
sK48_skl != sK48_skl,
inference(backward_demodulation,[status(thm)],[f573,f468]) ).
fof(f573,plain,
sK48_skl = nil,
inference(forward_subsumption_resolution,[status(thm)],[f547,f223]) ).
fof(f576,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f568]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC069+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n009.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 07:52:58 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.060333 seconds
% 0.14/0.41 % CPU time: 0.158789 seconds
% 0.14/0.41 % Total memory used: 110.562 MB
% 0.14/0.41 % Net memory used: 110.397 MB
%------------------------------------------------------------------------------