%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC333+1 : TPTP v9.3.1. Released v2.4.0.
% 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 02:40:49 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 7 unt; 9 def)
% Number of atoms : 190 ( 10 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 221 ( 83 ~; 81 |; 38 &)
% ( 9 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 20 ( 13 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( totalorderedP(U)
& segmentP(V,U)
& ! [Z] :
( ssList(Z)
=> ( ~ totalorderedP(Z)
| ~ segmentP(Z,U)
| ~ segmentP(V,Z)
| ~ neq(U,Z) ) ) )
| ? [Y] :
( totalorderedP(Y)
& segmentP(Y,W)
& segmentP(X,Y)
& neq(W,Y)
& ssList(Y) )
| ~ totalorderedP(W)
| ~ segmentP(X,W)
| U != W
| V != X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( totalorderedP(U)
& segmentP(V,U)
& ! [Z] :
( ssList(Z)
=> ( ~ totalorderedP(Z)
| ~ segmentP(Z,U)
| ~ segmentP(V,Z)
| ~ neq(U,Z) ) ) )
| ? [Y] :
( totalorderedP(Y)
& segmentP(Y,W)
& segmentP(X,Y)
& neq(W,Y)
& ssList(Y) )
| ~ totalorderedP(W)
| ~ segmentP(X,W)
| U != W
| V != X ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f415,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ~ totalorderedP(U)
| ~ segmentP(V,U)
| ? [Z] :
( totalorderedP(Z)
& segmentP(Z,U)
& segmentP(V,Z)
& neq(U,Z)
& ssList(Z) ) )
& ! [Y] :
( ~ totalorderedP(Y)
| ~ segmentP(Y,W)
| ~ segmentP(X,Y)
| ~ neq(W,Y)
| ~ ssList(Y) )
& totalorderedP(W)
& segmentP(X,W)
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f416,plain,
( ( ~ totalorderedP(sK47_skl)
| ~ segmentP(sK48_skl,sK47_skl)
| ( totalorderedP(sK51_skl)
& segmentP(sK51_skl,sK47_skl)
& segmentP(sK48_skl,sK51_skl)
& neq(sK47_skl,sK51_skl)
& ssList(sK51_skl) ) )
& ! [Y] :
( ~ totalorderedP(Y)
| ~ segmentP(Y,sK49_skl)
| ~ segmentP(sK50_skl,Y)
| ~ neq(sK49_skl,Y)
| ~ ssList(Y) )
& totalorderedP(sK49_skl)
& segmentP(sK50_skl,sK49_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(Z,sK51_skl)],[f415]) ).
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,
segmentP(sK50_skl,sK49_skl),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f424,plain,
totalorderedP(sK49_skl),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f425,plain,
! [X0] :
( ~ totalorderedP(X0)
| ~ segmentP(X0,sK49_skl)
| ~ segmentP(sK50_skl,X0)
| ~ neq(sK49_skl,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f426,plain,
( ~ totalorderedP(sK47_skl)
| ~ segmentP(sK48_skl,sK47_skl)
| ssList(sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f427,plain,
( ~ totalorderedP(sK47_skl)
| ~ segmentP(sK48_skl,sK47_skl)
| neq(sK47_skl,sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f428,plain,
( ~ totalorderedP(sK47_skl)
| ~ segmentP(sK48_skl,sK47_skl)
| segmentP(sK48_skl,sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f429,plain,
( ~ totalorderedP(sK47_skl)
| ~ segmentP(sK48_skl,sK47_skl)
| segmentP(sK51_skl,sK47_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f430,plain,
( ~ totalorderedP(sK47_skl)
| ~ segmentP(sK48_skl,sK47_skl)
| totalorderedP(sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f431,definition,
( sQ0_spl
<=> ssList(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f434,definition,
( sQ1_spl
<=> segmentP(sK48_skl,sK47_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( sQ1_spl
| ~ segmentP(sK48_skl,sK47_skl) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ2_spl
<=> totalorderedP(sK47_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( sQ2_spl
| ~ totalorderedP(sK47_skl) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f426,f431,f434,f437]) ).
fof(f441,definition,
( sQ3_spl
<=> neq(sK47_skl,sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ3_spl
| neq(sK47_skl,sK51_skl) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f427,f441,f434,f437]) ).
fof(f445,definition,
( sQ4_spl
<=> segmentP(sK48_skl,sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ4_spl
| segmentP(sK48_skl,sK51_skl) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f428,f445,f434,f437]) ).
fof(f449,definition,
( sQ5_spl
<=> segmentP(sK51_skl,sK47_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ5_spl
| segmentP(sK51_skl,sK47_skl) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f429,f449,f434,f437]) ).
fof(f453,definition,
( sQ6_spl
<=> totalorderedP(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f430,f453,f434,f437]) ).
fof(f489,plain,
( sQ2_spl
| ~ totalorderedP(sK49_skl) ),
inference(forward_demodulation,[status(thm)],[f422,f439]) ).
fof(f490,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f424]) ).
fof(f491,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f490]) ).
fof(f492,plain,
( sQ1_spl
| ~ segmentP(sK50_skl,sK47_skl) ),
inference(forward_demodulation,[status(thm)],[f421,f436]) ).
fof(f493,plain,
( sQ1_spl
| ~ segmentP(sK50_skl,sK49_skl) ),
inference(forward_demodulation,[status(thm)],[f422,f492]) ).
fof(f495,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f423]) ).
fof(f496,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f495]) ).
fof(f497,plain,
( ~ sQ3_spl
| neq(sK49_skl,sK51_skl) ),
inference(forward_demodulation,[status(thm)],[f422,f442]) ).
fof(f498,plain,
( ~ sQ4_spl
| segmentP(sK50_skl,sK51_skl) ),
inference(forward_demodulation,[status(thm)],[f421,f446]) ).
fof(f499,plain,
( ~ sQ5_spl
| segmentP(sK51_skl,sK49_skl) ),
inference(forward_demodulation,[status(thm)],[f422,f450]) ).
fof(f506,plain,
( ~ sQ3_spl
| ~ totalorderedP(sK51_skl)
| ~ segmentP(sK51_skl,sK49_skl)
| ~ segmentP(sK50_skl,sK51_skl)
| ~ ssList(sK51_skl) ),
inference(resolution,[status(thm)],[f425,f497]) ).
fof(f507,definition,
( sQ7_spl
<=> segmentP(sK50_skl,sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( sQ7_spl
| ~ segmentP(sK50_skl,sK51_skl) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,definition,
( sQ8_spl
<=> segmentP(sK51_skl,sK49_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( sQ8_spl
| ~ segmentP(sK51_skl,sK49_skl) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,plain,
( ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f506,f431,f507,f510,f453,f441]) ).
fof(f514,plain,
( sQ7_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f509,f498]) ).
fof(f515,plain,
( sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( sQ8_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f512,f499]) ).
fof(f517,plain,
( sQ8_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f518,plain,
$false,
inference(sat_refutation,[status(thm)],[f440,f444,f448,f452,f456,f491,f496,f513,f515,f517]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC333+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:16:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43 % Elapsed time: 0.065014 seconds
% 0.09/0.43 % CPU time: 0.169331 seconds
% 0.09/0.43 % Total memory used: 110.636 MB
% 0.09/0.43 % Net memory used: 110.491 MB
%------------------------------------------------------------------------------