%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC276-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:40:36 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.61s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 10 unt; 4 def)
% Number of atoms : 52 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 17 ~; 18 |; 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(f197,negated_conjecture,
( nil = sk3
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f202,plain,
totalorderedP(nil),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f265,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f435,plain,
~ totalorderedP(sk1),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f437,plain,
( nil = sk3
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f440,plain,
( nil = sk3
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f449,definition,
( sQ2_spl
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f456,definition,
( sQ4_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ4_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( sQ4_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f437,f449,f456]) ).
fof(f460,definition,
( sQ5_spl
<=> cons(sk5,nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ5_spl
| cons(sk5,nil) = sk3 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f468,plain,
( sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f440,f460,f456]) ).
fof(f501,plain,
~ totalorderedP(sk3),
inference(forward_demodulation,[status(thm)],[f434,f435]) ).
fof(f503,plain,
( ~ sQ4_spl
| totalorderedP(sk3) ),
inference(backward_demodulation,[status(thm)],[f457,f202]) ).
fof(f504,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f501]) ).
fof(f505,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f504]) ).
fof(f506,plain,
( ~ sQ5_spl
| totalorderedP(sk3)
| ~ ssItem(sk5) ),
inference(paramodulation,[status(thm)],[f461,f265]) ).
fof(f508,definition,
( sQ7_spl
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ7_spl
| totalorderedP(sk3) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( ~ sQ5_spl
| sQ7_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f506,f449,f508,f460]) ).
fof(f519,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f509,f501]) ).
fof(f520,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f519]) ).
fof(f521,plain,
$false,
inference(sat_refutation,[status(thm)],[f459,f468,f505,f511,f520]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC276-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n019.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 08:11:22 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.59 % Drodi V4.1.1
% 0.10/0.61 % Refutation found
% 0.10/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.64 % Elapsed time: 0.057658 seconds
% 0.13/0.64 % CPU time: 0.146982 seconds
% 0.13/0.64 % Total memory used: 84.803 MB
% 0.13/0.64 % Net memory used: 84.672 MB
%------------------------------------------------------------------------------