%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC185-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:40:19 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 14 unt; 5 def)
% Number of atoms : 98 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 117 ( 59 ~; 53 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
! [A,B,C] :
( ~ memberP(B,A)
| app(app(B,cons(A,nil)),C) != sk3
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
! [A,B,C] :
( ~ memberP(C,A)
| app(app(B,cons(A,nil)),C) != sk3
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f435,plain,
! [A,B] :
( ~ memberP(B,A)
| ! [C] :
( app(app(B,cons(A,nil)),C) != sk3
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ) ),
inference(miniscoping,[status(thm)],[f192]) ).
fof(f436,plain,
! [X0,X1,X2] :
( ~ memberP(X1,X0)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f435]) ).
fof(f437,plain,
! [A,C] :
( ~ memberP(C,A)
| ! [B] :
( app(app(B,cons(A,nil)),C) != sk3
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ) ),
inference(miniscoping,[status(thm)],[f193]) ).
fof(f438,plain,
! [X0,X1,X2] :
( ~ memberP(X2,X0)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f439,plain,
ssItem(sk5),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f440,plain,
ssList(sk6),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f441,plain,
ssList(sk7),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f442,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f443,plain,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f451,definition,
( sQ2_spl
<=> memberP(sk6,sk5) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f454,definition,
( sQ3_spl
<=> memberP(sk7,sk5) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f443,f451,f454]) ).
fof(f493,plain,
! [X0,X1,X2] :
( ~ memberP(X1,X0)
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f434,f436]) ).
fof(f526,definition,
( sQ7_spl
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( sQ7_spl
| ~ ssList(sk6) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f530,plain,
! [X0,X1,X2] :
( ~ memberP(X2,X0)
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f434,f438]) ).
fof(f532,definition,
( sQ8_spl
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( sQ8_spl
| ~ ssList(sk7) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f558,plain,
( ~ memberP(sk7,sk5)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f442,f530]) ).
fof(f559,plain,
( ~ memberP(sk6,sk5)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f442,f493]) ).
fof(f563,definition,
( sQ9_spl
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( sQ9_spl
| ~ ssItem(sk5) ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,plain,
( ~ sQ3_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f558,f563,f526,f532,f454]) ).
fof(f567,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f559,f563,f526,f532,f451]) ).
fof(f577,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f441]) ).
fof(f578,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f565,f439]) ).
fof(f580,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f579]) ).
fof(f581,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f528,f440]) ).
fof(f582,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f581]) ).
fof(f583,plain,
$false,
inference(sat_refutation,[status(thm)],[f457,f566,f567,f578,f580,f582]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC185-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:04:44 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.44 % Elapsed time: 0.052234 seconds
% 0.11/0.44 % CPU time: 0.146230 seconds
% 0.11/0.44 % Total memory used: 108.720 MB
% 0.11/0.44 % Net memory used: 108.553 MB
%------------------------------------------------------------------------------