%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC065+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 : n005.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 02:39:49 PM UTC 2026
% Result : Theorem 5.37s 1.14s
% Output : CNFRefutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of formulae : 96 ( 22 unt; 1 def)
% Number of atoms : 403 ( 108 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 503 ( 196 ~; 196 |; 84 &)
% ( 7 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 134 ( 105 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ( segmentP(U,V)
<=> ? [W] :
( ? [X] :
( app(app(W,V),X) = U
& ssList(X) )
& ssList(W) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f26,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ssList(app(U,V)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [U] :
( ssList(U)
=> app(nil,U) = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U] :
( ssList(U)
=> segmentP(U,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [U] :
( ssList(U)
=> ( segmentP(nil,U)
<=> nil = U ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [U] :
( ssList(U)
=> app(U,nil) = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( ( ? [X3] :
( segmentP(U,X3)
& segmentP(V,X3)
& neq(X3,nil)
& ssList(X3) )
| ~ neq(V,nil) )
& ( nil = U
| nil != V ) )
| ( nil = W
& nil != X )
| ! [Y] :
( ssList(Y)
=> ( ? [Z] :
( ? [X1] :
( ? [X2] :
( app(X2,cons(Z,nil)) = W
& ssList(X2) )
& app(cons(Z,nil),X1) = Y
& ssList(X1) )
& ssItem(Z) )
| ~ equalelemsP(W)
| app(W,Y) != X ) )
| 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)
=> ( ( ( ? [X3] :
( segmentP(U,X3)
& segmentP(V,X3)
& neq(X3,nil)
& ssList(X3) )
| ~ neq(V,nil) )
& ( nil = U
| nil != V ) )
| ( nil = W
& nil != X )
| ! [Y] :
( ssList(Y)
=> ( ? [Z] :
( ? [X1] :
( ? [X2] :
( app(X2,cons(Z,nil)) = W
& ssList(X2) )
& app(cons(Z,nil),X1) = Y
& ssList(X1) )
& ssItem(Z) )
| ~ equalelemsP(W)
| app(W,Y) != X ) )
| U != W
| V != X ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f131,plain,
! [U] :
( ! [V] :
( ( segmentP(U,V)
<=> ? [W] :
( ? [X] :
( app(app(W,V),X) = U
& ssList(X) )
& ssList(W) ) )
| ~ ssList(V) )
| ~ ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f132,plain,
! [U] :
( ! [V] :
( ( ( ! [W] :
( ! [X] :
( app(app(W,V),X) != U
| ~ ssList(X) )
| ~ ssList(W) )
| segmentP(U,V) )
& ( ? [W] :
( ? [X] :
( app(app(W,V),X) = U
& ssList(X) )
& ssList(W) )
| ~ segmentP(U,V) ) )
| ~ ssList(V) )
| ~ ssList(U) ),
inference(NNF_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
! [U] :
( ! [V] :
( ( ( ! [W] :
( ! [X] :
( app(app(W,V),X) != U
| ~ ssList(X) )
| ~ ssList(W) )
| segmentP(U,V) )
& ( ( app(app(sK7_skl(V,U),V),sK8_skl(V,U)) = U
& ssList(sK8_skl(V,U))
& ssList(sK7_skl(V,U)) )
| ~ segmentP(U,V) ) )
| ~ ssList(V) )
| ~ ssList(U) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
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(f244,plain,
! [U] :
( ! [V] :
( ssList(app(U,V))
| ~ ssList(V) )
| ~ ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f245,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f248,plain,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f249,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f322,plain,
! [U] :
( segmentP(U,nil)
| ~ ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f57]) ).
fof(f323,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f322]) ).
fof(f324,plain,
! [U] :
( ( segmentP(nil,U)
<=> nil = U )
| ~ ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f325,plain,
! [U] :
( ( ( nil != U
| segmentP(nil,U) )
& ( nil = U
| ~ segmentP(nil,U) ) )
| ~ ssList(U) ),
inference(NNF_transformation,[status(thm)],[f324]) ).
fof(f326,plain,
! [X0] :
( nil = X0
| ~ segmentP(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f388,plain,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f84]) ).
fof(f389,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f415,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ( ! [X3] :
( ~ segmentP(U,X3)
| ~ segmentP(V,X3)
| ~ neq(X3,nil)
| ~ ssList(X3) )
& neq(V,nil) )
| ( nil != U
& nil = V ) )
& ( nil != W
| nil = X )
& ? [Y] :
( ! [Z] :
( ! [X1] :
( ! [X2] :
( app(X2,cons(Z,nil)) != W
| ~ ssList(X2) )
| app(cons(Z,nil),X1) != Y
| ~ ssList(X1) )
| ~ ssItem(Z) )
& equalelemsP(W)
& app(W,Y) = X
& ssList(Y) )
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f416,definition,
! [U,V] :
( sP0_prd(V,U)
<=> ( nil != U
& nil = V ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f417,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ( ! [X3] :
( ~ segmentP(U,X3)
| ~ segmentP(V,X3)
| ~ neq(X3,nil)
| ~ ssList(X3) )
& neq(V,nil) )
| sP0_prd(V,U) )
& ( nil != W
| nil = X )
& ? [Y] :
( ! [Z] :
( ! [X1] :
( ! [X2] :
( app(X2,cons(Z,nil)) != W
| ~ ssList(X2) )
| app(cons(Z,nil),X1) != Y
| ~ ssList(X1) )
| ~ ssItem(Z) )
& equalelemsP(W)
& app(W,Y) = X
& ssList(Y) )
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(formula_renaming,[status(thm)],[f415,f416]) ).
fof(f418,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ( ! [X3] :
( ~ segmentP(U,X3)
| ~ segmentP(V,X3)
| ~ neq(X3,nil)
| ~ ssList(X3) )
& neq(V,nil) )
| sP0_prd(V,U) )
& ( nil != W
| nil = X )
& ? [Y] :
( ! [Z] :
( ! [X2] :
( app(X2,cons(Z,nil)) != W
| ~ ssList(X2) )
| ! [X1] :
( app(cons(Z,nil),X1) != Y
| ~ ssList(X1) )
| ~ ssItem(Z) )
& equalelemsP(W)
& app(W,Y) = X
& ssList(Y) )
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(miniscoping,[status(thm)],[f417]) ).
fof(f419,plain,
( ( ( ! [X3] :
( ~ segmentP(sK47_skl,X3)
| ~ segmentP(sK48_skl,X3)
| ~ neq(X3,nil)
| ~ ssList(X3) )
& neq(sK48_skl,nil) )
| sP0_prd(sK48_skl,sK47_skl) )
& ( nil != sK49_skl
| nil = sK50_skl )
& ! [Z] :
( ! [X2] :
( app(X2,cons(Z,nil)) != sK49_skl
| ~ ssList(X2) )
| ! [X1] :
( app(cons(Z,nil),X1) != sK51_skl
| ~ ssList(X1) )
| ~ ssItem(Z) )
& equalelemsP(sK49_skl)
& app(sK49_skl,sK51_skl) = sK50_skl
& ssList(sK51_skl)
& 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(Y,sK51_skl)],[f418]) ).
fof(f421,plain,
ssList(sK48_skl),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f422,plain,
ssList(sK49_skl),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f424,plain,
sK48_skl = sK50_skl,
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f425,plain,
sK47_skl = sK49_skl,
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f426,plain,
ssList(sK51_skl),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f427,plain,
app(sK49_skl,sK51_skl) = sK50_skl,
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f430,plain,
( nil != sK49_skl
| nil = sK50_skl ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f431,plain,
( neq(sK48_skl,nil)
| sP0_prd(sK48_skl,sK47_skl) ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f432,plain,
! [X0] :
( ~ segmentP(sK47_skl,X0)
| ~ segmentP(sK48_skl,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| sP0_prd(sK48_skl,sK47_skl) ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f433,plain,
! [U,V] :
( ( nil = U
| nil != V
| sP0_prd(V,U) )
& ( ( nil != U
& nil = V )
| ~ sP0_prd(V,U) ) ),
inference(NNF_transformation,[status(thm)],[f416]) ).
fof(f434,plain,
( ! [U,V] :
( nil = U
| nil != V
| sP0_prd(V,U) )
& ! [U,V] :
( ( nil != U
& nil = V )
| ~ sP0_prd(V,U) ) ),
inference(miniscoping,[status(thm)],[f433]) ).
fof(f435,plain,
! [X0,X1] :
( nil = X0
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f436,plain,
! [X0,X1] :
( nil != X1
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f444,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(destructive_equality_resolution,[status(thm)],[f137]) ).
fof(f472,plain,
app(sK49_skl,sK51_skl) = sK48_skl,
inference(forward_demodulation,[status(thm)],[f424,f427]) ).
fof(f473,plain,
( nil != sK49_skl
| nil = sK48_skl ),
inference(forward_demodulation,[status(thm)],[f424,f430]) ).
fof(f474,plain,
( neq(sK48_skl,nil)
| sP0_prd(sK48_skl,sK49_skl) ),
inference(forward_demodulation,[status(thm)],[f425,f431]) ).
fof(f475,plain,
! [X0] :
( ~ segmentP(sK47_skl,X0)
| ~ segmentP(sK48_skl,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| sP0_prd(sK48_skl,sK49_skl) ),
inference(forward_demodulation,[status(thm)],[f425,f432]) ).
fof(f476,plain,
! [X0] :
( ~ segmentP(sK49_skl,X0)
| ~ segmentP(sK48_skl,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| sP0_prd(sK48_skl,sK49_skl) ),
inference(forward_demodulation,[status(thm)],[f425,f475]) ).
fof(f477,plain,
! [X0] : ~ sP0_prd(X0,nil),
inference(destructive_equality_resolution,[status(thm)],[f436]) ).
fof(f483,plain,
app(nil,sK49_skl) = sK49_skl,
inference(resolution,[status(thm)],[f249,f422]) ).
fof(f484,plain,
app(nil,sK48_skl) = sK48_skl,
inference(resolution,[status(thm)],[f249,f421]) ).
fof(f498,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| segmentP(app(app(nil,sK49_skl),X0),sK49_skl)
| ~ ssList(sK49_skl)
| ~ ssList(app(sK49_skl,X0)) ),
inference(paramodulation,[status(thm)],[f483,f444]) ).
fof(f499,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| segmentP(app(sK49_skl,X0),sK49_skl)
| ~ ssList(sK49_skl)
| ~ ssList(app(sK49_skl,X0)) ),
inference(forward_demodulation,[status(thm)],[f483,f498]) ).
fof(f500,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| segmentP(app(sK49_skl,X0),sK49_skl)
| ~ ssList(sK49_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f499,f245]) ).
fof(f501,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| segmentP(app(app(nil,sK48_skl),X0),sK48_skl)
| ~ ssList(sK48_skl)
| ~ ssList(app(sK48_skl,X0)) ),
inference(paramodulation,[status(thm)],[f484,f444]) ).
fof(f502,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| segmentP(app(sK48_skl,X0),sK48_skl)
| ~ ssList(sK48_skl)
| ~ ssList(app(sK48_skl,X0)) ),
inference(forward_demodulation,[status(thm)],[f484,f501]) ).
fof(f503,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| segmentP(app(sK48_skl,X0),sK48_skl)
| ~ ssList(sK48_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f502,f245]) ).
fof(f504,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(app(sK49_skl,X0),sK49_skl)
| ~ ssList(sK49_skl) ),
inference(resolution,[status(thm)],[f500,f223]) ).
fof(f505,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(app(sK49_skl,X0),sK49_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f422]) ).
fof(f510,plain,
app(sK49_skl,nil) = sK49_skl,
inference(resolution,[status(thm)],[f389,f422]) ).
fof(f511,plain,
app(sK48_skl,nil) = sK48_skl,
inference(resolution,[status(thm)],[f389,f421]) ).
fof(f553,plain,
( ~ ssList(nil)
| segmentP(sK49_skl,sK49_skl) ),
inference(paramodulation,[status(thm)],[f510,f505]) ).
fof(f554,plain,
( ~ ssList(sK51_skl)
| segmentP(sK48_skl,sK49_skl) ),
inference(paramodulation,[status(thm)],[f472,f505]) ).
fof(f555,plain,
segmentP(sK49_skl,sK49_skl),
inference(forward_subsumption_resolution,[status(thm)],[f553,f223]) ).
fof(f556,plain,
segmentP(sK48_skl,sK49_skl),
inference(forward_subsumption_resolution,[status(thm)],[f554,f426]) ).
fof(f557,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(app(sK48_skl,X0),sK48_skl)
| ~ ssList(sK48_skl) ),
inference(resolution,[status(thm)],[f503,f223]) ).
fof(f558,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(app(sK48_skl,X0),sK48_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f557,f421]) ).
fof(f559,plain,
( ~ ssList(nil)
| segmentP(sK48_skl,sK48_skl) ),
inference(paramodulation,[status(thm)],[f511,f558]) ).
fof(f560,plain,
segmentP(sK48_skl,sK48_skl),
inference(forward_subsumption_resolution,[status(thm)],[f559,f223]) ).
fof(f561,plain,
( sP0_prd(sK48_skl,sK49_skl)
| ~ segmentP(sK49_skl,sK48_skl)
| ~ segmentP(sK48_skl,sK48_skl)
| ~ ssList(sK48_skl)
| sP0_prd(sK48_skl,sK49_skl) ),
inference(resolution,[status(thm)],[f476,f474]) ).
fof(f562,plain,
! [X0] :
( X0 = nil
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK49_skl,X0)
| ~ segmentP(sK48_skl,X0)
| ~ ssList(X0)
| sP0_prd(sK48_skl,sK49_skl) ),
inference(resolution,[status(thm)],[f476,f220]) ).
fof(f563,plain,
( ~ segmentP(sK49_skl,sK48_skl)
| ~ segmentP(sK48_skl,sK48_skl)
| ~ ssList(sK48_skl)
| sP0_prd(sK48_skl,sK49_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f561]) ).
fof(f564,plain,
( ~ segmentP(sK49_skl,sK48_skl)
| ~ segmentP(sK48_skl,sK48_skl)
| sP0_prd(sK48_skl,sK49_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f563,f421]) ).
fof(f565,plain,
! [X0] :
( X0 = nil
| ~ ssList(nil)
| ~ segmentP(sK49_skl,X0)
| ~ segmentP(sK48_skl,X0)
| ~ ssList(X0)
| sP0_prd(sK48_skl,sK49_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f562]) ).
fof(f566,plain,
! [X0] :
( X0 = nil
| ~ segmentP(sK49_skl,X0)
| ~ segmentP(sK48_skl,X0)
| ~ ssList(X0)
| sP0_prd(sK48_skl,sK49_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f565,f223]) ).
fof(f736,plain,
( sK49_skl = nil
| ~ segmentP(sK48_skl,sK49_skl)
| ~ ssList(sK49_skl)
| sP0_prd(sK48_skl,sK49_skl) ),
inference(resolution,[status(thm)],[f566,f555]) ).
fof(f739,plain,
( sK49_skl = nil
| ~ segmentP(sK48_skl,sK49_skl)
| sP0_prd(sK48_skl,sK49_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f736,f422]) ).
fof(f741,plain,
( sK49_skl = nil
| sP0_prd(sK48_skl,sK49_skl) ),
inference(resolution,[status(thm)],[f739,f556]) ).
fof(f742,plain,
( nil = sK48_skl
| sK49_skl = nil ),
inference(resolution,[status(thm)],[f741,f435]) ).
fof(f754,plain,
! [X0] :
( sK48_skl = X0
| ~ segmentP(nil,X0)
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f899,f326]) ).
fof(f791,plain,
! [X0] :
( segmentP(X0,sK48_skl)
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f899,f323]) ).
fof(f793,plain,
! [X0] : ~ sP0_prd(X0,sK48_skl),
inference(backward_demodulation,[status(thm)],[f899,f477]) ).
fof(f899,plain,
nil = sK48_skl,
inference(forward_subsumption_resolution,[status(thm)],[f742,f473]) ).
fof(f900,plain,
! [X0] :
( sK48_skl = X0
| ~ segmentP(sK48_skl,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f899,f754]) ).
fof(f972,plain,
( ~ segmentP(sK48_skl,sK48_skl)
| sP0_prd(sK48_skl,sK49_skl)
| ~ ssList(sK49_skl) ),
inference(resolution,[status(thm)],[f791,f564]) ).
fof(f973,plain,
( ~ segmentP(sK48_skl,sK48_skl)
| sP0_prd(sK48_skl,sK49_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f972,f422]) ).
fof(f1078,plain,
( sK48_skl = sK49_skl
| ~ ssList(sK49_skl) ),
inference(resolution,[status(thm)],[f900,f556]) ).
fof(f1094,plain,
( ~ segmentP(sK48_skl,sK48_skl)
| sP0_prd(sK48_skl,sK48_skl) ),
inference(backward_demodulation,[status(thm)],[f1109,f973]) ).
fof(f1109,plain,
sK48_skl = sK49_skl,
inference(forward_subsumption_resolution,[status(thm)],[f1078,f422]) ).
fof(f1127,plain,
~ segmentP(sK48_skl,sK48_skl),
inference(forward_subsumption_resolution,[status(thm)],[f1094,f793]) ).
fof(f1128,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f560,f1127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC065+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.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 : Mon Sep 21 07:52:17 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 5.37/1.14 % Refutation found
% 5.37/1.14 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.37/1.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.37/1.17 % Elapsed time: 0.795166 seconds
% 5.37/1.17 % CPU time: 5.861401 seconds
% 5.37/1.17 % Total memory used: 148.662 MB
% 5.37/1.17 % Net memory used: 144.638 MB
%------------------------------------------------------------------------------