%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC348-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 02:40:53 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.44s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 25
% Syntax : Number of formulae : 78 ( 23 unt; 11 def)
% Number of atoms : 153 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 132 ( 57 ~; 64 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 12 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [U] : ssItem(skaf44(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [U] :
( strictorderedP(cons(U,nil))
| ~ ssItem(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ segmentP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,axiom,
! [U] :
( cons(skaf44(U),nil) = U
| ~ ssList(U)
| ~ singletonP(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
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,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( ~ strictorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,plain,
strictorderedP(nil),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f202,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f241,plain,
! [X0] : ssItem(skaf44(X0)),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f260,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f275,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f297,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f298,plain,
! [X0] :
( cons(skaf44(X0),nil) = X0
| ~ ssList(X0)
| ~ singletonP(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f425,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f428,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f429,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f430,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f431,plain,
segmentP(sk4,sk3),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f432,plain,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f433,plain,
( ~ strictorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f441,definition,
( sQ2_spl
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ2_spl
| singletonP(sk3) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ3_spl
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ3_spl
| ~ neq(sk4,nil) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f432,f441,f444]) ).
fof(f448,definition,
( sQ4_spl
<=> segmentP(sk2,sk1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( sQ4_spl
| ~ segmentP(sk2,sk1) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ5_spl
<=> strictorderedP(sk1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ5_spl
| ~ strictorderedP(sk1) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f433,f448,f451]) ).
fof(f486,plain,
( ~ sQ2_spl
| singletonP(sk1) ),
inference(forward_demodulation,[status(thm)],[f430,f442]) ).
fof(f487,plain,
segmentP(sk4,sk1),
inference(forward_demodulation,[status(thm)],[f430,f431]) ).
fof(f488,plain,
( sQ4_spl
| ~ segmentP(sk4,sk1) ),
inference(forward_demodulation,[status(thm)],[f429,f450]) ).
fof(f489,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f487]) ).
fof(f490,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f489]) ).
fof(f494,definition,
( sQ6_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( sQ6_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f502,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f496,f202]) ).
fof(f503,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f502]) ).
fof(f548,definition,
( sQ11_spl
<=> ssList(sk1) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( sQ11_spl
| ~ ssList(sk1) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ12_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( sQ12_spl
| ~ ssList(sk4) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f579,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f550,f425]) ).
fof(f580,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f579]) ).
fof(f593,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f428]) ).
fof(f594,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f593]) ).
fof(f1339,plain,
( ~ sQ2_spl
| cons(skaf44(sk1),nil) = sk1
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[f298,f486]) ).
fof(f1341,definition,
( sQ53_spl
<=> cons(skaf44(sk1),nil) = sk1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1342,plain,
( ~ sQ53_spl
| cons(skaf44(sk1),nil) = sk1 ),
inference(component_clause,[status(thm)],[f1341]) ).
fof(f1344,plain,
( ~ sQ2_spl
| sQ53_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1339,f548,f1341,f441]) ).
fof(f1357,definition,
( sQ56_spl
<=> sk1 = nil ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1358,plain,
( ~ sQ56_spl
| sk1 = nil ),
inference(component_clause,[status(thm)],[f1357]) ).
fof(f1370,plain,
( ~ sQ53_spl
| strictorderedP(sk1)
| ~ ssItem(skaf44(sk1)) ),
inference(paramodulation,[status(thm)],[f1342,f260]) ).
fof(f1376,definition,
( sQ57_spl
<=> ssItem(skaf44(sk1)) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1378,plain,
( sQ57_spl
| ~ ssItem(skaf44(sk1)) ),
inference(component_clause,[status(thm)],[f1376]) ).
fof(f1410,plain,
( ~ sQ53_spl
| sQ5_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1370,f1376,f451,f1341]) ).
fof(f1425,plain,
( sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1378,f241]) ).
fof(f1426,plain,
sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1425]) ).
fof(f1441,plain,
( sQ3_spl
| sk4 = nil
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f446,f297]) ).
fof(f1445,definition,
( sQ70_spl
<=> sk4 = nil ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1446,plain,
( ~ sQ70_spl
| sk4 = nil ),
inference(component_clause,[status(thm)],[f1445]) ).
fof(f1449,plain,
( sQ3_spl
| sQ70_spl
| ~ sQ12_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1441,f494,f551,f1445,f444]) ).
fof(f1457,plain,
( ~ sQ70_spl
| segmentP(nil,sk1) ),
inference(backward_demodulation,[status(thm)],[f1446,f487]) ).
fof(f1504,plain,
( ~ sQ70_spl
| nil = sk1
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[f1457,f275]) ).
fof(f1512,plain,
( ~ sQ70_spl
| sQ56_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1504,f548,f1357,f1445]) ).
fof(f1545,plain,
( sQ5_spl
| ~ sQ56_spl
| ~ strictorderedP(nil) ),
inference(backward_demodulation,[status(thm)],[f1358,f453]) ).
fof(f1558,plain,
( sQ5_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1545,f197]) ).
fof(f1559,plain,
( sQ5_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1558]) ).
fof(f1560,plain,
$false,
inference(sat_refutation,[status(thm)],[f447,f454,f490,f503,f580,f594,f1344,f1410,f1426,f1449,f1512,f1559]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC348-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:15:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.44 % Refutation found
% 0.11/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.48 % Elapsed time: 0.096317 seconds
% 0.11/0.48 % CPU time: 0.423417 seconds
% 0.11/0.48 % Total memory used: 115.136 MB
% 0.11/0.48 % Net memory used: 114.599 MB
%------------------------------------------------------------------------------