%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC347-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:40:52 PM UTC 2026
% Result : Unsatisfiable 56.31s 7.54s
% Output : CNFRefutation 56.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 22 unt; 6 def)
% Number of atoms : 116 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 108 ( 50 ~; 52 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f173,axiom,
! [U,V,W,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ~ ssList(U)
| ~ ssList(W)
| app(app(U,V),W) != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( ~ strictorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f272,plain,
! [X0] :
( ~ ssList(X0)
| X0 = app(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f403,plain,
! [V,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ! [U] :
( ~ ssList(U)
| ! [W] :
( ~ ssList(W)
| app(app(U,V),W) != X ) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f404,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f430,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f431,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f432,plain,
sk4 = sk2,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk3 = sk1,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
app(sk3,sk5) = sk4,
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f436,plain,
strictorderedP(sk3),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f440,plain,
( ~ strictorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f455,definition,
( sQ4_spl
<=> segmentP(sk2,sk1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ4_spl
| ~ segmentP(sk2,sk1) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ5_spl
<=> strictorderedP(sk1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( sQ5_spl
| ~ strictorderedP(sk1) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f440,f455,f458]) ).
fof(f485,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(destructive_equality_resolution,[status(thm)],[f404]) ).
fof(f494,plain,
( sQ4_spl
| ~ segmentP(sk2,sk3) ),
inference(forward_demodulation,[status(thm)],[f433,f457]) ).
fof(f520,definition,
( sQ9_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( sQ9_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f533,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f522,f430]) ).
fof(f534,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f533]) ).
fof(f602,plain,
app(nil,sk3) = sk3,
inference(resolution,[status(thm)],[f272,f430]) ).
fof(f611,plain,
( sQ4_spl
| ~ segmentP(sk4,sk3) ),
inference(forward_demodulation,[status(thm)],[f432,f494]) ).
fof(f640,definition,
( sQ26_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( sQ26_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f648,plain,
( sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f642,f205]) ).
fof(f649,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f648]) ).
fof(f1958,plain,
( sQ5_spl
| ~ strictorderedP(sk3) ),
inference(forward_demodulation,[status(thm)],[f433,f460]) ).
fof(f1959,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1958,f436]) ).
fof(f1960,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f1959]) ).
fof(f3166,plain,
! [X0,X1] :
( ~ ssList(X1)
| segmentP(app(app(X0,X1),sk5),X1)
| ~ ssList(app(app(X0,X1),sk5))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f485,f434]) ).
fof(f11638,plain,
( ~ ssList(sk3)
| segmentP(app(app(nil,sk3),sk5),sk3)
| ~ ssList(app(sk3,sk5))
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f602,f3166]) ).
fof(f11738,definition,
( sQ634_spl
<=> ssList(app(sk3,sk5)) ),
introduced(definition,[new_symbols(definition,[sQ634_spl])],[split_symbol_definition]) ).
fof(f11740,plain,
( sQ634_spl
| ~ ssList(app(sk3,sk5)) ),
inference(component_clause,[status(thm)],[f11738]) ).
fof(f11741,definition,
( sQ635_spl
<=> segmentP(app(app(nil,sk3),sk5),sk3) ),
introduced(definition,[new_symbols(definition,[sQ635_spl])],[split_symbol_definition]) ).
fof(f11742,plain,
( ~ sQ635_spl
| segmentP(app(app(nil,sk3),sk5),sk3) ),
inference(component_clause,[status(thm)],[f11741]) ).
fof(f11744,plain,
( ~ sQ9_spl
| sQ635_spl
| ~ sQ634_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f11638,f640,f11738,f11741,f520]) ).
fof(f11833,plain,
( sQ634_spl
| ~ ssList(sk4) ),
inference(forward_demodulation,[status(thm)],[f435,f11740]) ).
fof(f11834,plain,
( sQ634_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11833,f431]) ).
fof(f11835,plain,
sQ634_spl,
inference(contradiction_clause,[status(thm)],[f11834]) ).
fof(f11840,plain,
( ~ sQ635_spl
| segmentP(app(sk3,sk5),sk3) ),
inference(forward_demodulation,[status(thm)],[f602,f11742]) ).
fof(f11841,plain,
( ~ sQ635_spl
| segmentP(sk4,sk3) ),
inference(forward_demodulation,[status(thm)],[f435,f11840]) ).
fof(f11842,plain,
( ~ sQ635_spl
| sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11841,f611]) ).
fof(f11843,plain,
( ~ sQ635_spl
| sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f11842]) ).
fof(f11844,plain,
$false,
inference(sat_refutation,[status(thm)],[f461,f534,f649,f1960,f11744,f11835,f11843]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC347-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n012.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 08:17:38 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 56.31/7.54 % Refutation found
% 56.31/7.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 56.31/7.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 56.31/7.57 % Elapsed time: 7.202916 seconds
% 56.31/7.57 % CPU time: 56.876439 seconds
% 56.31/7.57 % Total memory used: 448.112 MB
% 56.31/7.57 % Net memory used: 420.176 MB
%------------------------------------------------------------------------------