%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC259-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:40:33 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.60s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 9 unt; 4 def)
% Number of atoms : 55 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 19 ~; 20 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [U] :
( totalorderedP(cons(U,nil))
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil = sk3
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f203,negated_conjecture,
( nil = sk3
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f210,plain,
totalorderedP(nil),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f273,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f442,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f443,plain,
~ totalorderedP(sk1),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f445,plain,
( nil = sk3
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f456,plain,
( nil = sk3
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f469,definition,
( sQ2_spl
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f476,definition,
( sQ4_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ4_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( sQ4_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f445,f469,f476]) ).
fof(f488,definition,
( sQ7_spl
<=> cons(sk5,nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ7_spl
| cons(sk5,nil) = sk3 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f506,plain,
( sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f456,f488,f476]) ).
fof(f522,plain,
( ~ sQ4_spl
| sk1 = nil ),
inference(backward_demodulation,[status(thm)],[f477,f442]) ).
fof(f524,plain,
( ~ sQ4_spl
| ~ totalorderedP(nil) ),
inference(backward_demodulation,[status(thm)],[f522,f443]) ).
fof(f526,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f524,f210]) ).
fof(f527,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( ~ sQ7_spl
| cons(sk5,nil) = sk1 ),
inference(forward_demodulation,[status(thm)],[f442,f489]) ).
fof(f530,plain,
( ~ sQ7_spl
| totalorderedP(sk1)
| ~ ssItem(sk5) ),
inference(paramodulation,[status(thm)],[f529,f273]) ).
fof(f533,definition,
( sQ11_spl
<=> totalorderedP(sk1) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( ~ sQ11_spl
| totalorderedP(sk1) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,plain,
( ~ sQ7_spl
| sQ11_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f530,f469,f533,f488]) ).
fof(f550,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f443]) ).
fof(f551,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f550]) ).
fof(f552,plain,
$false,
inference(sat_refutation,[status(thm)],[f479,f506,f527,f536,f551]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC259-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n016.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Mon Sep 21 08:14:08 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.58 % Drodi V4.1.1
% 0.09/0.60 % Refutation found
% 0.09/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.63 % Elapsed time: 0.053137 seconds
% 0.15/0.63 % CPU time: 0.156896 seconds
% 0.15/0.63 % Total memory used: 108.850 MB
% 0.15/0.63 % Net memory used: 108.721 MB
%------------------------------------------------------------------------------