%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC020-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:39:37 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 53 ( 8 unt; 7 def)
% Number of atoms : 117 ( 29 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 115 ( 51 ~; 57 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,axiom,
! [U] :
( frontsegP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
! [A] :
( ~ frontsegP(sk1,A)
| ~ frontsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( neq(sk3,nil)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( frontsegP(sk4,sk3)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( neq(sk3,nil)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( frontsegP(sk4,sk3)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f258,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f430,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f432,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
! [X0] :
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
( nil != sk1
| nil != sk2 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f436,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f437,plain,
( frontsegP(sk4,sk3)
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f438,plain,
( neq(sk3,nil)
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f439,plain,
( frontsegP(sk4,sk3)
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f447,definition,
( sQ2_spl
<=> nil = sk2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( sQ2_spl
| nil != sk2 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ3_spl
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( sQ3_spl
| nil != sk1 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f435,f447,f450]) ).
fof(f454,definition,
( sQ4_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ4_spl
| nil = sk4 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,definition,
( sQ5_spl
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f436,f454,f457]) ).
fof(f461,definition,
( sQ6_spl
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( sQ6_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f437,f454,f461]) ).
fof(f465,definition,
( sQ7_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ7_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f438,f465,f457]) ).
fof(f469,plain,
( sQ6_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f439,f465,f461]) ).
fof(f502,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| nil = sk4 ),
inference(backward_demodulation,[status(thm)],[f505,f466]) ).
fof(f505,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| sk3 = sk4 ),
inference(forward_demodulation,[status(thm)],[f466,f455]) ).
fof(f506,plain,
( sQ2_spl
| nil != sk4 ),
inference(forward_demodulation,[status(thm)],[f432,f449]) ).
fof(f507,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f502,f506]) ).
fof(f508,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f507]) ).
fof(f509,plain,
( sQ3_spl
| ~ sQ7_spl
| sk3 != sk1 ),
inference(backward_demodulation,[status(thm)],[f466,f452]) ).
fof(f520,plain,
( sQ3_spl
| ~ sQ7_spl
| sk3 != sk3 ),
inference(forward_demodulation,[status(thm)],[f433,f509]) ).
fof(f521,plain,
( sQ3_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f520]) ).
fof(f522,plain,
( sQ3_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f523,plain,
! [X0] :
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f432,f434]) ).
fof(f524,plain,
! [X0] :
( ~ frontsegP(sk3,X0)
| ~ frontsegP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f433,f523]) ).
fof(f527,plain,
( ~ ssList(sk3)
| ~ frontsegP(sk4,sk3)
| ~ neq(sk3,nil)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f524,f258]) ).
fof(f528,definition,
( sQ8_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( sQ8_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f545,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f527,f528,f457,f461]) ).
fof(f546,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f430]) ).
fof(f547,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f546]) ).
fof(f548,plain,
$false,
inference(sat_refutation,[status(thm)],[f453,f460,f464,f468,f469,f508,f522,f545,f547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC020-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n017.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 07:44:57 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.43 % Elapsed time: 0.052639 seconds
% 0.11/0.43 % CPU time: 0.157322 seconds
% 0.11/0.43 % Total memory used: 108.763 MB
% 0.11/0.43 % Net memory used: 108.595 MB
%------------------------------------------------------------------------------