%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC049-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:39:44 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 30
% Syntax : Number of formulae : 87 ( 14 unt; 15 def)
% Number of atoms : 200 ( 35 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 216 ( 103 ~; 98 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 16 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [U] :
( rearsegP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [U] :
( rearsegP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,axiom,
! [U] :
( rearsegP(nil,U)
| ~ ssList(U)
| nil != U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ rearsegP(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(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,
! [A] :
( ~ rearsegP(sk1,A)
| ~ rearsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( rearsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f204,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f254,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f255,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f278,plain,
! [X0] :
( rearsegP(nil,X0)
| ~ ssList(X0)
| nil != X0 ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f279,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f299,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f429,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f430,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f431,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f432,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f433,plain,
! [X0] :
( ~ rearsegP(sk1,X0)
| ~ rearsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f434,plain,
( nil != sk4
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f435,plain,
( nil != sk1
| nil != sk2 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f436,plain,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f437,plain,
( rearsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f445,definition,
( sQ2_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ2_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ3_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ3_spl
| nil = sk4 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f434,f445,f448]) ).
fof(f452,definition,
( sQ4_spl
<=> nil = sk2 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ4_spl
| nil = sk2 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f454,plain,
( sQ4_spl
| nil != sk2 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ5_spl
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ5_spl
| nil != sk1 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f435,f452,f455]) ).
fof(f459,definition,
( sQ6_spl
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( sQ6_spl
| ~ neq(sk4,nil) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,definition,
( sQ7_spl
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f436,f459,f462]) ).
fof(f466,definition,
( sQ8_spl
<=> rearsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( sQ8_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f437,f459,f466]) ).
fof(f471,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(destructive_equality_resolution,[status(thm)],[f278]) ).
fof(f501,plain,
( sQ4_spl
| nil != sk4 ),
inference(forward_demodulation,[status(thm)],[f431,f454]) ).
fof(f513,definition,
( sQ9_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( sQ9_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f521,definition,
( sQ11_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ11_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,definition,
( sQ12_spl
<=> rearsegP(nil,nil) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( sQ12_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f471,f521,f524]) ).
fof(f528,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f204]) ).
fof(f529,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f528]) ).
fof(f530,plain,
! [X0] :
( ~ rearsegP(sk1,X0)
| ~ rearsegP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f431,f433]) ).
fof(f531,plain,
! [X0] :
( ~ rearsegP(sk3,X0)
| ~ rearsegP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f432,f530]) ).
fof(f533,plain,
( ~ ssList(sk3)
| ~ rearsegP(sk4,sk3)
| ~ neq(sk3,nil)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f531,f255]) ).
fof(f534,definition,
( sQ13_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( sQ13_spl
| ~ ssList(sk4) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f541,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f533,f513,f462,f466]) ).
fof(f542,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f515,f429]) ).
fof(f543,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( ~ rearsegP(sk4,nil)
| ~ neq(nil,nil)
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f254,f531]) ).
fof(f545,plain,
( ~ rearsegP(sk3,nil)
| ~ neq(nil,nil)
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f254,f531]) ).
fof(f546,definition,
( sQ15_spl
<=> neq(nil,nil) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f549,definition,
( sQ16_spl
<=> rearsegP(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f544,f513,f521,f546,f549]) ).
fof(f553,definition,
( sQ17_spl
<=> rearsegP(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ17_spl
| ~ sQ15_spl
| ~ sQ11_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f545,f534,f521,f546,f553]) ).
fof(f558,plain,
( ~ ssList(nil)
| nil = nil
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f279,f254]) ).
fof(f560,definition,
( sQ18_spl
<=> nil = nil ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f564,plain,
( sQ18_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f558,f521,f560]) ).
fof(f568,plain,
( sQ6_spl
| sk4 = nil
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f299,f461]) ).
fof(f573,plain,
( sQ6_spl
| sQ3_spl
| ~ sQ13_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f568,f521,f534,f448,f459]) ).
fof(f574,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f536,f430]) ).
fof(f575,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f501,f448,f452]) ).
fof(f577,plain,
( sQ5_spl
| nil != sk3 ),
inference(forward_demodulation,[status(thm)],[f432,f457]) ).
fof(f578,plain,
( ~ sQ4_spl
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f431,f453]) ).
fof(f602,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sk3 = sk4 ),
inference(forward_demodulation,[status(thm)],[f446,f449]) ).
fof(f603,plain,
( sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| nil != sk4 ),
inference(forward_demodulation,[status(thm)],[f602,f577]) ).
fof(f604,plain,
( ~ sQ4_spl
| sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f603]) ).
fof(f605,plain,
( ~ sQ4_spl
| sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f604]) ).
fof(f606,plain,
$false,
inference(sat_refutation,[status(thm)],[f451,f458,f465,f469,f527,f529,f541,f543,f552,f556,f564,f573,f575,f576,f605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC049-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.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 07:52:17 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.063364 seconds
% 0.14/0.44 % CPU time: 0.105612 seconds
% 0.14/0.44 % Total memory used: 10.235 MB
% 0.14/0.44 % Net memory used: 10.218 MB
%------------------------------------------------------------------------------